This commit is contained in:
krahets
2023-08-19 19:21:30 +08:00
parent 5884de5246
commit c2642f951c
25 changed files with 163 additions and 110 deletions
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<p align="center"> 图:二叉树的最佳与最差结构 </p>
<p>如下表所示,在最佳和最差结构下,二叉树的叶节点数量、节点总数、高度等达到极大或极小值。</p>
<p align="center"> 表:二叉树的最佳与最差情况 </p>
<div class="center-table">
<table>
<thead>
@@ -4003,17 +4005,17 @@
<td><span class="arithmatex">\(1\)</span></td>
</tr>
<tr>
<td>树的高度 <span class="arithmatex">\(h\)</span> 的叶节点数量</td>
<td>高度 <span class="arithmatex">\(h\)</span> 的叶节点数量</td>
<td><span class="arithmatex">\(2^h\)</span></td>
<td><span class="arithmatex">\(1\)</span></td>
</tr>
<tr>
<td>树的高度 <span class="arithmatex">\(h\)</span> 的节点总数</td>
<td>高度 <span class="arithmatex">\(h\)</span> 的节点总数</td>
<td><span class="arithmatex">\(2^{h+1} - 1\)</span></td>
<td><span class="arithmatex">\(h + 1\)</span></td>
</tr>
<tr>
<td>树的节点总数 <span class="arithmatex">\(n\)</span> 的高度</td>
<td>节点总数 <span class="arithmatex">\(n\)</span> 的高度</td>
<td><span class="arithmatex">\(\log_2 (n+1) - 1\)</span></td>
<td><span class="arithmatex">\(n - 1\)</span></td>
</tr>