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<a href="#pub-methods">Public Member Functions</a> |
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<a href="#pri-methods">Private Member Functions</a> |
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<a href="#pri-attribs">Private Attributes</a> |
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<a href="../../da/dac/classdata__structures_1_1_segment_tree-members.html">List of all members</a> </div>
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<div class="headertitle"><div class="title">data_structures::SegmentTree< T > Class Template Reference</div></div>
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</div><!--header-->
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<div class="contents">
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<p>class representation of the segment tree
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<a href="#details">More...</a></p>
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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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<tr class="memitem:a330724f79c5d1bdb745c29474ff3eac2" id="r_a330724f79c5d1bdb745c29474ff3eac2"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="#a330724f79c5d1bdb745c29474ff3eac2">SegmentTree</a> (int n)</td></tr>
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<tr class="separator:a330724f79c5d1bdb745c29474ff3eac2"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad0e78179ab979ae2bc4304bdc181db17" id="r_ad0e78179ab979ae2bc4304bdc181db17"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="#ad0e78179ab979ae2bc4304bdc181db17">update</a> (int pos, T val)</td></tr>
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<tr class="memdesc:ad0e78179ab979ae2bc4304bdc181db17"><td class="mdescLeft"> </td><td class="mdescRight">Updates a value at a certain position. <br /></td></tr>
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<tr class="separator:ad0e78179ab979ae2bc4304bdc181db17"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1c5331b509d9b55bedfadf979b30dd5b" id="r_a1c5331b509d9b55bedfadf979b30dd5b"><td class="memItemLeft" align="right" valign="top">T </td><td class="memItemRight" valign="bottom"><a class="el" href="#a1c5331b509d9b55bedfadf979b30dd5b">range_comb</a> (int l, int r)</td></tr>
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<tr class="memdesc:a1c5331b509d9b55bedfadf979b30dd5b"><td class="mdescLeft"> </td><td class="mdescRight">Returns comb across all values between l and r. <br /></td></tr>
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<tr class="separator:a1c5331b509d9b55bedfadf979b30dd5b"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-methods" name="pri-methods"></a>
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Private Member Functions</h2></td></tr>
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<tr class="memitem:a8d22286b7be3dcbb701ac5c7d9c79841" id="r_a8d22286b7be3dcbb701ac5c7d9c79841"><td class="memItemLeft" align="right" valign="top">T </td><td class="memItemRight" valign="bottom"><a class="el" href="#a8d22286b7be3dcbb701ac5c7d9c79841">comb</a> (T x, T y)</td></tr>
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<tr class="memdesc:a8d22286b7be3dcbb701ac5c7d9c79841"><td class="mdescLeft"> </td><td class="mdescRight">Any associative function that combines x and y. <br /></td></tr>
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<tr class="separator:a8d22286b7be3dcbb701ac5c7d9c79841"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6d3beccc936af2377c8eeb17067fd141" id="r_a6d3beccc936af2377c8eeb17067fd141"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a6d3beccc936af2377c8eeb17067fd141">mid</a> (int l, int r)</td></tr>
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<tr class="memdesc:a6d3beccc936af2377c8eeb17067fd141"><td class="mdescLeft"> </td><td class="mdescRight">Gives the midpoint between two integers. <br /></td></tr>
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<tr class="separator:a6d3beccc936af2377c8eeb17067fd141"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2a04f1832c5ce86def50c3021b2ab6b1" id="r_a2a04f1832c5ce86def50c3021b2ab6b1"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="#a2a04f1832c5ce86def50c3021b2ab6b1">update</a> (int i, int l, int r, int pos, T val)</td></tr>
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<tr class="memdesc:a2a04f1832c5ce86def50c3021b2ab6b1"><td class="mdescLeft"> </td><td class="mdescRight">Helper method for update method below. <br /></td></tr>
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<tr class="separator:a2a04f1832c5ce86def50c3021b2ab6b1"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8fecc48e8e3f6f5f6e728495a4282e52" id="r_a8fecc48e8e3f6f5f6e728495a4282e52"><td class="memItemLeft" align="right" valign="top">T </td><td class="memItemRight" valign="bottom"><a class="el" href="#a8fecc48e8e3f6f5f6e728495a4282e52">range_comb</a> (int i, int l, int r, int tl, int tr)</td></tr>
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<tr class="memdesc:a8fecc48e8e3f6f5f6e728495a4282e52"><td class="mdescLeft"> </td><td class="mdescRight">Helper method for range_comb method below. <br /></td></tr>
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<tr class="separator:a8fecc48e8e3f6f5f6e728495a4282e52"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-attribs" name="pri-attribs"></a>
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Private Attributes</h2></td></tr>
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<tr class="memitem:a10ffa5fc03c66170f0bc2592b843baa3" id="r_a10ffa5fc03c66170f0bc2592b843baa3"><td class="memItemLeft" align="right" valign="top"><a id="a10ffa5fc03c66170f0bc2592b843baa3" name="a10ffa5fc03c66170f0bc2592b843baa3"></a>
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const T </td><td class="memItemRight" valign="bottom"><b>ID</b> = 0</td></tr>
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<tr class="memdesc:a10ffa5fc03c66170f0bc2592b843baa3"><td class="mdescLeft"> </td><td class="mdescRight">Comb(ID, x) = x. <br /></td></tr>
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<tr class="separator:a10ffa5fc03c66170f0bc2592b843baa3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a735d072a603f3abb7c03818440575258" id="r_a735d072a603f3abb7c03818440575258"><td class="memItemLeft" align="right" valign="top"><a id="a735d072a603f3abb7c03818440575258" name="a735d072a603f3abb7c03818440575258"></a>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< T > </td><td class="memItemRight" valign="bottom"><b>t</b></td></tr>
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<tr class="memdesc:a735d072a603f3abb7c03818440575258"><td class="mdescLeft"> </td><td class="mdescRight">Vector to represent the tree. <br /></td></tr>
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<tr class="separator:a735d072a603f3abb7c03818440575258"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a167fd91b68048e49e97859a8947690f3" id="r_a167fd91b68048e49e97859a8947690f3"><td class="memItemLeft" align="right" valign="top"><a id="a167fd91b68048e49e97859a8947690f3" name="a167fd91b68048e49e97859a8947690f3"></a>
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int </td><td class="memItemRight" valign="bottom"><b>size</b> = 0</td></tr>
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<tr class="memdesc:a167fd91b68048e49e97859a8947690f3"><td class="mdescLeft"> </td><td class="mdescRight">Number of elements available for querying in the tree. <br /></td></tr>
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<tr class="separator:a167fd91b68048e49e97859a8947690f3"><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"><div class="compoundTemplParams">template<class T><br />
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class data_structures::SegmentTree< T ></div><p>class representation of the segment tree </p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>The type of the class that goes in the datastructure </td></tr>
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</table>
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</dd>
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</dl>
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</div><h2 class="groupheader">Constructor & Destructor Documentation</h2>
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<a id="a330724f79c5d1bdb745c29474ff3eac2" name="a330724f79c5d1bdb745c29474ff3eac2"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a330724f79c5d1bdb745c29474ff3eac2">◆ </a></span>SegmentTree()</h2>
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template<class T > </div>
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<td class="memname"><a class="el" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">data_structures::SegmentTree</a>< T >::SegmentTree </td>
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<td>(</td>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>n</em></span></td><td>)</td>
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<td></td>
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<span class="mlabels"><span class="mlabel">inline</span></span> </td>
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</div><div class="memdoc">
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<div class="fragment"><div class="line"><span class="lineno"> 87</span>: <a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>(n * 4, <a class="code hl_variable" href="#a10ffa5fc03c66170f0bc2592b843baa3">ID</a>), <a class="code hl_variable" href="#a167fd91b68048e49e97859a8947690f3">size</a>(n) {}</div>
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<div class="ttc" id="aclassdata__structures_1_1_segment_tree_html_a10ffa5fc03c66170f0bc2592b843baa3"><div class="ttname"><a href="#a10ffa5fc03c66170f0bc2592b843baa3">data_structures::SegmentTree::ID</a></div><div class="ttdeci">const T ID</div><div class="ttdoc">Comb(ID, x) = x.</div><div class="ttdef"><b>Definition</b> segment_tree.cpp:32</div></div>
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<div class="ttc" id="aclassdata__structures_1_1_segment_tree_html_a167fd91b68048e49e97859a8947690f3"><div class="ttname"><a href="#a167fd91b68048e49e97859a8947690f3">data_structures::SegmentTree::size</a></div><div class="ttdeci">int size</div><div class="ttdoc">Number of elements available for querying in the tree.</div><div class="ttdef"><b>Definition</b> segment_tree.cpp:34</div></div>
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<div class="ttc" id="aclassdata__structures_1_1_segment_tree_html_a735d072a603f3abb7c03818440575258"><div class="ttname"><a href="#a735d072a603f3abb7c03818440575258">data_structures::SegmentTree::t</a></div><div class="ttdeci">std::vector< T > t</div><div class="ttdoc">Vector to represent the tree.</div><div class="ttdef"><b>Definition</b> segment_tree.cpp:33</div></div>
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</div><!-- fragment -->
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</div>
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<h2 class="groupheader">Member Function Documentation</h2>
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<a id="a8d22286b7be3dcbb701ac5c7d9c79841" name="a8d22286b7be3dcbb701ac5c7d9c79841"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a8d22286b7be3dcbb701ac5c7d9c79841">◆ </a></span>comb()</h2>
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template<class T > </div>
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<td class="memname">T <a class="el" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">data_structures::SegmentTree</a>< T >::comb </td>
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<td>(</td>
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<td class="paramtype">T</td> <td class="paramname"><span class="paramname"><em>x</em></span>, </td>
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<td class="paramtype">T</td> <td class="paramname"><span class="paramname"><em>y</em></span> )</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>Any associative function that combines x and y. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">x</td><td>The first operand </td></tr>
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<tr><td class="paramname">y</td><td>The second operand </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Some associative operation applied to these two values. In this case, I used addition </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 42</span> {</div>
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<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">return</span> x + y;</div>
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<div class="line"><span class="lineno"> 44</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a6d3beccc936af2377c8eeb17067fd141">◆ </a></span>mid()</h2>
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<td class="memname">int <a class="el" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">data_structures::SegmentTree</a>< T >::mid </td>
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<td>(</td>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>l</em></span>, </td>
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<p>Gives the midpoint between two integers. </p>
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<dl class="section return"><dt>Returns</dt><dd>the middle point between them </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 51</span> {</div>
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<div class="line"><span class="lineno"> 52</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">l</a> + (r - <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">l</a>) / 2;</div>
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<div class="line"><span class="lineno"> 53</span> }</div>
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<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a6d8df83a6f26ce24a75d3b358b7f5b8a"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a6d8df83a6f26ce24a75d3b358b7f5b8a">numerical_methods::simpson_method::l</a></div><div class="ttdeci">double l(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> composite_simpson_rule.cpp:119</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a8fecc48e8e3f6f5f6e728495a4282e52">◆ </a></span>range_comb() <span class="overload">[1/2]</span></h2>
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<td class="memname">T <a class="el" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">data_structures::SegmentTree</a>< T >::range_comb </td>
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<p>Helper method for range_comb method below. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">i</td><td>The current node </td></tr>
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<tr><td class="paramname">l</td><td>The leftmost node of the current node </td></tr>
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<tr><td class="paramname">r</td><td>The rightmost node of the current node </td></tr>
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<tr><td class="paramname">tl</td><td>The left endpoint of the range </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>The comb operation applied to all values between tl and tr </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 80</span> {</div>
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<div class="line"><span class="lineno"> 81</span> <span class="keywordflow">if</span>(l == tl && r == tr) <span class="keywordflow">return</span> <a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>[i];</div>
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<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">if</span>(tl > tr) <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 83</span> <span class="keywordtype">int</span> m = <a class="code hl_function" href="#a6d3beccc936af2377c8eeb17067fd141">mid</a>(l, r);</div>
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<div class="line"><span class="lineno"> 84</span> <span class="keywordflow">return</span> <a class="code hl_function" href="#a8d22286b7be3dcbb701ac5c7d9c79841">comb</a>(<a class="code hl_function" href="#a8fecc48e8e3f6f5f6e728495a4282e52">range_comb</a>(i * 2, l, m, tl, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(tr, m)), <a class="code hl_function" href="#a8fecc48e8e3f6f5f6e728495a4282e52">range_comb</a>(i * 2 + 1, m + 1, r, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(tl, m + 1), tr));</div>
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<div class="line"><span class="lineno"> 85</span> }</div>
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<div class="ttc" id="aclassdata__structures_1_1_segment_tree_html_a6d3beccc936af2377c8eeb17067fd141"><div class="ttname"><a href="#a6d3beccc936af2377c8eeb17067fd141">data_structures::SegmentTree::mid</a></div><div class="ttdeci">int mid(int l, int r)</div><div class="ttdoc">Gives the midpoint between two integers.</div><div class="ttdef"><b>Definition</b> segment_tree.cpp:51</div></div>
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<div class="ttc" id="aclassdata__structures_1_1_segment_tree_html_a8d22286b7be3dcbb701ac5c7d9c79841"><div class="ttname"><a href="#a8d22286b7be3dcbb701ac5c7d9c79841">data_structures::SegmentTree::comb</a></div><div class="ttdeci">T comb(T x, T y)</div><div class="ttdoc">Any associative function that combines x and y.</div><div class="ttdef"><b>Definition</b> segment_tree.cpp:42</div></div>
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<div class="ttc" id="aclassdata__structures_1_1_segment_tree_html_a8fecc48e8e3f6f5f6e728495a4282e52"><div class="ttname"><a href="#a8fecc48e8e3f6f5f6e728495a4282e52">data_structures::SegmentTree::range_comb</a></div><div class="ttdeci">T range_comb(int i, int l, int r, int tl, int tr)</div><div class="ttdoc">Helper method for range_comb method below.</div><div class="ttdef"><b>Definition</b> segment_tree.cpp:80</div></div>
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<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
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<div class="ttc" id="amin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a></div><div class="ttdeci">T min(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1c5331b509d9b55bedfadf979b30dd5b">◆ </a></span>range_comb() <span class="overload">[2/2]</span></h2>
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<td class="memname">T <a class="el" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">data_structures::SegmentTree</a>< T >::range_comb </td>
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<td>(</td>
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<p>Returns comb across all values between l and r. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">l</td><td>The left endpoint of the range </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>The value of the comb operations </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 102</span> {</div>
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<div class="line"><span class="lineno"> 103</span> <span class="keywordflow">return</span> <a class="code hl_function" href="#a8fecc48e8e3f6f5f6e728495a4282e52">range_comb</a>(1, 1, <a class="code hl_variable" href="#a167fd91b68048e49e97859a8947690f3">size</a>, l, r);</div>
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<div class="line"><span class="lineno"> 104</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2a04f1832c5ce86def50c3021b2ab6b1">◆ </a></span>update() <span class="overload">[1/2]</span></h2>
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<td class="memname">void <a class="el" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">data_structures::SegmentTree</a>< T >::update </td>
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<td>(</td>
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<p>Helper method for update method below. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">i</td><td>The index of the current node </td></tr>
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<tr><td class="paramname">l</td><td>The leftmost node of the current node </td></tr>
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<tr><td class="paramname">r</td><td>The rightmost node of the current node </td></tr>
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<tr><td class="paramname">pos</td><td>The position to update </td></tr>
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<tr><td class="paramname">val</td><td>The value to update it to </td></tr>
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<div class="fragment"><div class="line"><span class="lineno"> 62</span> {</div>
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<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">if</span>(l == r) <a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>[i] = val;</div>
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<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 65</span> <span class="keywordtype">int</span> m = <a class="code hl_function" href="#a6d3beccc936af2377c8eeb17067fd141">mid</a>(l, r);</div>
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<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">if</span>(pos <= m) <a class="code hl_function" href="#a2a04f1832c5ce86def50c3021b2ab6b1">update</a>(i * 2, l, m, pos, val);</div>
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<div class="line"><span class="lineno"> 67</span> <span class="keywordflow">else</span> <a class="code hl_function" href="#a2a04f1832c5ce86def50c3021b2ab6b1">update</a>(i * 2 + 1, m + 1, r, pos, val);</div>
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<div class="line"><span class="lineno"> 68</span> <a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>[i] = <a class="code hl_function" href="#a8d22286b7be3dcbb701ac5c7d9c79841">comb</a>(<a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>[i * 2], <a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>[i * 2 + 1]);</div>
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<div class="line"><span class="lineno"> 69</span> }</div>
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<div class="line"><span class="lineno"> 70</span> }</div>
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<div class="ttc" id="aclassdata__structures_1_1_segment_tree_html_a2a04f1832c5ce86def50c3021b2ab6b1"><div class="ttname"><a href="#a2a04f1832c5ce86def50c3021b2ab6b1">data_structures::SegmentTree::update</a></div><div class="ttdeci">void update(int i, int l, int r, int pos, T val)</div><div class="ttdoc">Helper method for update method below.</div><div class="ttdef"><b>Definition</b> segment_tree.cpp:62</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ad0e78179ab979ae2bc4304bdc181db17">◆ </a></span>update() <span class="overload">[2/2]</span></h2>
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<td class="memname">void <a class="el" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">data_structures::SegmentTree</a>< T >::update </td>
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<p>Updates a value at a certain position. </p>
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<div class="fragment"><div class="line"><span class="lineno"> 93</span> {</div>
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<div class="line"><span class="lineno"> 94</span> <a class="code hl_function" href="#a2a04f1832c5ce86def50c3021b2ab6b1">update</a>(1, 1, <a class="code hl_variable" href="#a167fd91b68048e49e97859a8947690f3">size</a>, pos, val);</div>
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<div class="line"><span class="lineno"> 95</span> }</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
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<li>data_structures/<a class="el" href="../../de/dd1/segment__tree_8cpp.html">segment_tree.cpp</a></li>
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