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1392/data_structures/segment_tree.html

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<ul class="metadata page-metadata" data-bi-name="page info" lang="en-us" dir="ltr">
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Last update:
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<span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-date">November 13, 2024</span>&emsp;
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<span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-date">March 24, 2025</span>&emsp;
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<!-- Tags -->
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@@ -7586,7 +7590,7 @@ <h3 id="implementation">Implementation<a class="headerlink" href="#implementatio
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In order to simplify the code, this function always does two recursive calls, even if only one is necessary - in that case the superfluous recursive call will have <span class="arithmatex">$l &gt; r$</span>, and this can easily be caught using an additional check at the beginning of the function.</p>
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<div class="highlight"><pre><span></span><code><span class="kt">int</span><span class="w"> </span><span class="nf">sum</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">v</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">tl</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">tr</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">l</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">r</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
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<span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">tr</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">l</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">tl</span><span class="w"> </span><span class="o">&gt;</span><span class="w"> </span><span class="n">r</span><span class="p">)</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="c1">// no overlap</span>
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<span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">tl</span><span class="w"> </span><span class="o">&gt;=</span><span class="w"> </span><span class="n">l</span><span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="n">tr</span><span class="w"> </span><span class="o">&lt;=</span><span class="w"> </span><span class="n">r</span><span class="p">)</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">t</span><span class="p">[</span><span class="n">v</span><span class="p">];</span><span class="w"> </span><span class="c1">// complete overlap</span>
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<span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">l</span><span class="w"> </span><span class="o">&lt;=</span><span class="w"> </span><span class="n">tl</span><span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="n">tr</span><span class="w"> </span><span class="o">&lt;=</span><span class="w"> </span><span class="n">r</span><span class="p">)</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">t</span><span class="p">[</span><span class="n">v</span><span class="p">];</span><span class="w"> </span><span class="c1">// nested segment</span>
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<span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">tm</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">tl</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">tr</span><span class="p">)</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="mi">2</span><span class="p">;</span>
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<span class="w"> </span><span class="c1">// partial overlap</span>
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<ul class="metadata page-metadata" data-bi-name="page info" lang="en-us" dir="ltr">
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