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krahets
2023-11-09 05:13:54 +08:00
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<h3 id="1">1. &nbsp; 复用查找左边界<a class="headerlink" href="#1" title="Permanent link">&para;</a></h3>
<p>实际上,我们可以利用查找最左元素的函数来查找最右元素,具体方法为:<strong>将查找最右一个 <code>target</code> 转化为查找最左一个 <code>target + 1</code></strong></p>
<p>如图 10-7 所示,查找完成后,指针 <span class="arithmatex">\(i\)</span> 指向最左一个 <code>target + 1</code>(如果存在),而 <span class="arithmatex">\(j\)</span> 指向最右一个 <code>target</code> <strong>因此返回 <span class="arithmatex">\(j\)</span> 即可</strong></p>
<p><a class="glightbox" href="../binary_search_edge.assets/binary_search_right_edge_by_left_edge.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="将查找右边界转化为查找左边界" src="../binary_search_edge.assets/binary_search_right_edge_by_left_edge.png" /></a></p>
<p><a class="glightbox" href="../binary_search_edge.assets/binary_search_right_edge_by_left_edge.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="将查找右边界转化为查找左边界" class="animation-figure" src="../binary_search_edge.assets/binary_search_right_edge_by_left_edge.png" /></a></p>
<p align="center"> 图 10-7 &nbsp; 将查找右边界转化为查找左边界 </p>
<p>请注意,返回的插入点是 <span class="arithmatex">\(i\)</span> ,因此需要将其减 <span class="arithmatex">\(1\)</span> ,从而获得 <span class="arithmatex">\(j\)</span></p>
@@ -3763,7 +3763,7 @@
<li>查找最左一个 <code>target</code> :可以转化为查找 <code>target - 0.5</code> ,并返回指针 <span class="arithmatex">\(i\)</span></li>
<li>查找最右一个 <code>target</code> :可以转化为查找 <code>target + 0.5</code> ,并返回指针 <span class="arithmatex">\(j\)</span></li>
</ul>
<p><a class="glightbox" href="../binary_search_edge.assets/binary_search_edge_by_element.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="将查找边界转化为查找元素" src="../binary_search_edge.assets/binary_search_edge_by_element.png" /></a></p>
<p><a class="glightbox" href="../binary_search_edge.assets/binary_search_edge_by_element.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="将查找边界转化为查找元素" class="animation-figure" src="../binary_search_edge.assets/binary_search_edge_by_element.png" /></a></p>
<p align="center"> 图 10-8 &nbsp; 将查找边界转化为查找元素 </p>
<p>代码在此省略,值得注意以下两点。</p>