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realstealthninja
2025-05-19 11:38:33 +00:00
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<title>TheAlgorithms/C++: data_structures::SegmentTree&lt; T &gt; Class Template Reference</title>
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@@ -189,7 +189,7 @@ class data_structures::SegmentTree&lt; T &gt;</div><p>class representation of th
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<p class="definition">Definition at line <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html#l00087">87</a> of file <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html">segment_tree.cpp</a>.</p>
<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>
<div class="fragment"><div class="line"><span class="lineno"> 87</span>: <a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">n</a> * 4, <a class="code hl_variable" href="#a10ffa5fc03c66170f0bc2592b843baa3">ID</a>), <a class="code hl_variable" href="#a167fd91b68048e49e97859a8947690f3">size</a>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">n</a>) {}</div>
<div class="ttc" id="aclassdata__structures_1_1_segment_tree_html"><div class="ttname"><a href="../../dd/d95/classdata__structures_1_1_segment_tree.html">data_structures::SegmentTree</a></div><div class="ttdoc">class representation of the segment tree</div><div class="ttdef"><b>Definition</b> <a href="../../de/dd1/segment__tree_8cpp_source.html#l00030">segment_tree.cpp:30</a></div></div>
<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> <a href="../../de/dd1/segment__tree_8cpp_source.html#l00032">segment_tree.cpp:32</a></div></div>
<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> <a href="../../de/dd1/segment__tree_8cpp_source.html#l00034">segment_tree.cpp:34</a></div></div>
<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&lt; T &gt; t</div><div class="ttdoc">Vector to represent the tree.</div><div class="ttdef"><b>Definition</b> <a href="../../de/dd1/segment__tree_8cpp_source.html#l00033">segment_tree.cpp:33</a></div></div>
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<p class="definition">Definition at line <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html#l00042">42</a> of file <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html">segment_tree.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 42</span> {</div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">return</span> x + y;</div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">return</span> <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">x</a> + <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">y</a>;</div>
<div class="line"><span class="lineno"> 44</span> }</div>
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<p class="definition">Definition at line <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html#l00051">51</a> of file <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html">segment_tree.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 51</span> {</div>
<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>
<div class="line"><span class="lineno"> 52</span> <span class="keywordflow">return</span> <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">l</a> + (<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">r</a> - <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">l</a>) / 2;</div>
<div class="line"><span class="lineno"> 53</span> }</div>
<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> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00119">composite_simpson_rule.cpp:119</a></div></div>
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<p class="definition">Definition at line <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html#l00080">80</a> of file <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html">segment_tree.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 80</span> {</div>
<div class="line"><span class="lineno"> 81</span> <span class="keywordflow">if</span>(l == tl &amp;&amp; r == tr) <span class="keywordflow">return</span> <a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>[i];</div>
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">if</span>(tl &gt; tr) <span class="keywordflow">return</span> 0;</div>
<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>
<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, std::min(tr, m)), <a class="code hl_function" href="#a8fecc48e8e3f6f5f6e728495a4282e52">range_comb</a>(i * 2 + 1, m + 1, r, std::max(tl, m + 1), tr));</div>
<div class="line"><span class="lineno"> 81</span> <span class="keywordflow">if</span>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">l</a> == <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">tl</a> &amp;&amp; <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">r</a> == <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">tr</a>) <span class="keywordflow">return</span> <a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>[<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">i</a>];</div>
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">if</span>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">tl</a> &gt; <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">tr</a>) <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 83</span> <span class="keywordtype">int</span> <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">m</a> = <a class="code hl_function" href="#a6d3beccc936af2377c8eeb17067fd141">mid</a>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">l</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">r</a>);</div>
<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>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">i</a> * 2, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">l</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">m</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">tl</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">std::min</a>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">tr</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">m</a>)), <a class="code hl_function" href="#a8fecc48e8e3f6f5f6e728495a4282e52">range_comb</a>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">i</a> * 2 + 1, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">m</a> + 1, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">r</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">std::max</a>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">tl</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">m</a> + 1), <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">tr</a>));</div>
<div class="line"><span class="lineno"> 85</span> }</div>
<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> <a href="../../de/dd1/segment__tree_8cpp_source.html#l00051">segment_tree.cpp:51</a></div></div>
<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> <a href="../../de/dd1/segment__tree_8cpp_source.html#l00042">segment_tree.cpp:42</a></div></div>
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<p class="definition">Definition at line <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html#l00102">102</a> of file <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html">segment_tree.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 102</span> {</div>
<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>
<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>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">l</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">r</a>);</div>
<div class="line"><span class="lineno"> 104</span> }</div>
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<p class="definition">Definition at line <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html#l00062">62</a> of file <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html">segment_tree.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 62</span> {</div>
<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>
<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">if</span>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">l</a> == <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">r</a>) <a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>[<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">i</a>] = <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">val</a>;</div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">else</span> {</div>
<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>
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">if</span>(pos &lt;= m) <a class="code hl_function" href="#a2a04f1832c5ce86def50c3021b2ab6b1">update</a>(i * 2, l, m, pos, val);</div>
<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>
<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>
<div class="line"><span class="lineno"> 65</span> <span class="keywordtype">int</span> <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">m</a> = <a class="code hl_function" href="#a6d3beccc936af2377c8eeb17067fd141">mid</a>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">l</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">r</a>);</div>
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">if</span>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">pos</a> &lt;= <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">m</a>) <a class="code hl_function" href="#a2a04f1832c5ce86def50c3021b2ab6b1">update</a>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">i</a> * 2, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">l</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">m</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">pos</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">val</a>);</div>
<div class="line"><span class="lineno"> 67</span> <span class="keywordflow">else</span> <a class="code hl_function" href="#a2a04f1832c5ce86def50c3021b2ab6b1">update</a>(<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">i</a> * 2 + 1, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">m</a> + 1, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">r</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">pos</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">val</a>);</div>
<div class="line"><span class="lineno"> 68</span> <a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>[<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">i</a>] = <a class="code hl_function" href="#a8d22286b7be3dcbb701ac5c7d9c79841">comb</a>(<a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>[<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">i</a> * 2], <a class="code hl_variable" href="#a735d072a603f3abb7c03818440575258">t</a>[<a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">i</a> * 2 + 1]);</div>
<div class="line"><span class="lineno"> 69</span> }</div>
<div class="line"><span class="lineno"> 70</span> }</div>
<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> <a href="../../de/dd1/segment__tree_8cpp_source.html#l00062">segment_tree.cpp:62</a></div></div>
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<p class="definition">Definition at line <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html#l00093">93</a> of file <a class="el" href="../../de/dd1/segment__tree_8cpp_source.html">segment_tree.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 93</span> {</div>
<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>
<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>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">pos</a>, <a class="code hl_class" href="../../dd/d95/classdata__structures_1_1_segment_tree.html">val</a>);</div>
<div class="line"><span class="lineno"> 95</span> }</div>
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