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40 changes: 40 additions & 0 deletions Algorithm/104 二叉树的最大深度.html
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<!DOCTYPE html>
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class="sr-only">open in new window</span><!--]--></span><!--[--><!--]--></a></div><!--]--></nav><!--[--><!--]--><ul class="sidebar-links"><!--[--><!--[--><p class="sidebar-heading sidebar-item"></p><ul class=""><li><!--[--><a aria-current="page" href="/Algorithm/104%20%E4%BA%8C%E5%8F%89%E6%A0%91%E7%9A%84%E6%9C%80%E5%A4%A7%E6%B7%B1%E5%BA%A6.html#递归❤️" class="router-link-active router-link-exact-active nav-link sidebar-item" aria-label="递归❤️"><!--[--><!--]--> 递归❤️ <!--[--><!--]--></a><!----><!--]--></li><li><!--[--><a aria-current="page" href="/Algorithm/104%20%E4%BA%8C%E5%8F%89%E6%A0%91%E7%9A%84%E6%9C%80%E5%A4%A7%E6%B7%B1%E5%BA%A6.html#循环❤️" class="router-link-active router-link-exact-active nav-link sidebar-item" aria-label="循环❤️"><!--[--><!--]--> 循环❤️ <!--[--><!--]--></a><!----><!--]--></li></ul><!--]--><!--]--></ul><!--[--><!--]--></aside><!--]--><!--[--><main class="page"><!--[--><!--]--><div class="theme-default-content"><!--[--><div class="custom-container tip"><p class="custom-container-title">TIP</p><p><a href="https://leetcode.cn/problems/maximum-depth-of-binary-tree/" target="_blank" rel="noopener noreferrer">104. 二叉树的最大深度 - 力扣（LeetCode）<span><svg class="icon outbound" xmlns="http://www.w3.org/2000/svg" aria-hidden="true" focusable="false" x="0px" y="0px" viewBox="0 0 100 100" width="15" height="15"><path fill="currentColor" d="M18.8,85.1h56l0,0c2.2,0,4-1.8,4-4v-32h-8v28h-48v-48h28v-8h-32l0,0c-2.2,0-4,1.8-4,4v56C14.8,83.3,16.6,85.1,18.8,85.1z"></path><polygon fill="currentColor" points="45.7,48.7 51.3,54.3 77.2,28.5 77.2,37.2 85.2,37.2 85.2,14.9 62.8,14.9 62.8,22.9 71.5,22.9"></polygon></svg><!--[--><span class="sr-only">open in new window</span><!--]--></span></a></p><p><a href="https://github.com/Q10Viking/learncode/blob/main/algorithm/src/main/java/org/hzz/tree/MaximumDepth_104.java" target="_blank" rel="noopener noreferrer">Source Code MaximumDepth_104.java<span><svg class="icon outbound" xmlns="http://www.w3.org/2000/svg" aria-hidden="true" focusable="false" x="0px" y="0px" viewBox="0 0 100 100" width="15" height="15"><path fill="currentColor" d="M18.8,85.1h56l0,0c2.2,0,4-1.8,4-4v-32h-8v28h-48v-48h28v-8h-32l0,0c-2.2,0-4,1.8-4,4v56C14.8,83.3,16.6,85.1,18.8,85.1z"></path><polygon fill="currentColor" points="45.7,48.7 51.3,54.3 77.2,28.5 77.2,37.2 85.2,37.2 85.2,14.9 62.8,14.9 62.8,22.9 71.5,22.9"></polygon></svg><!--[--><span class="sr-only">open in new window</span><!--]--></span></a></p></div><p><img src="/images/algorithm/tmp-tree.jpg" alt="img"></p><h2 id="递归❤️" tabindex="-1"><a class="header-anchor" href="#递归❤️" aria-hidden="true">#</a> 递归❤️</h2><div class="custom-container tip"><p class="custom-container-title">TIP</p><p>递归遍历就可，遍历根节点的左孩子的高度和根节点右孩子的高度，取出两者的最大值再加一即为总高度。</p></div><div class="language-java ext-java line-numbers-mode"><pre class="language-java"><code><span class="token keyword">public</span> <span class="token keyword">int</span> <span class="token function">maxDepth</span><span class="token punctuation">(</span><span class="token class-name">TreeNode</span> root<span class="token punctuation">)</span> <span class="token punctuation">{</span>
<span class="token keyword">if</span> <span class="token punctuation">(</span>root <span class="token operator">==</span> <span class="token keyword">null</span><span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>
<span class="token keyword">return</span> <span class="token class-name">Math</span><span class="token punctuation">.</span><span class="token function">max</span><span class="token punctuation">(</span><span class="token function">maxDepth</span><span class="token punctuation">(</span>root<span class="token punctuation">.</span>left<span class="token punctuation">)</span><span class="token punctuation">,</span>
<span class="token function">maxDepth</span><span class="token punctuation">(</span>root<span class="token punctuation">.</span>right<span class="token punctuation">)</span><span class="token punctuation">)</span> <span class="token operator">+</span> <span class="token number">1</span><span class="token punctuation">;</span>

<span class="token punctuation">}</span>
</code></pre><div class="line-numbers"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br></div></div><h2 id="循环❤️" tabindex="-1"><a class="header-anchor" href="#循环❤️" aria-hidden="true">#</a> 循环❤️</h2><div class="custom-container tip"><p class="custom-container-title">TIP</p><p>循环迭代的实现，可以借助队列来实现。</p></div><p><img src="/images/algorithm/image-20230924141615946.png" alt="image-20230924141615946"></p><p><img src="/images/algorithm/image-20230924141637011.png" alt="image-20230924141637011"></p><p><img src="/images/algorithm/image-20230924141708755.png" alt="image-20230924141708755"></p><p><img src="/images/algorithm/image-20230924141726787.png" alt="image-20230924141726787"></p><div class="language-java ext-java line-numbers-mode"><pre class="language-java"><code><span class="token keyword">public</span> <span class="token keyword">int</span> <span class="token function">maxDepthWithQueue</span><span class="token punctuation">(</span><span class="token class-name">TreeNode</span> root<span class="token punctuation">)</span> <span class="token punctuation">{</span>
<span class="token keyword">if</span><span class="token punctuation">(</span>root <span class="token operator">==</span> <span class="token keyword">null</span><span class="token punctuation">)</span> <span class="token keyword">return</span> <span class="token number">0</span><span class="token punctuation">;</span>

<span class="token keyword">int</span> deepth <span class="token operator">=</span> <span class="token number">0</span><span class="token punctuation">;</span>
<span class="token class-name">Queue</span><span class="token generics"><span class="token punctuation">&lt;</span><span class="token class-name">TreeNode</span><span class="token punctuation">&gt;</span></span> queue <span class="token operator">=</span> <span class="token keyword">new</span> <span class="token class-name">LinkedList</span><span class="token generics"><span class="token punctuation">&lt;</span><span class="token punctuation">&gt;</span></span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
queue<span class="token punctuation">.</span><span class="token function">offer</span><span class="token punctuation">(</span>root<span class="token punctuation">)</span><span class="token punctuation">;</span>
<span class="token keyword">while</span> <span class="token punctuation">(</span><span class="token operator">!</span>queue<span class="token punctuation">.</span><span class="token function">isEmpty</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">)</span><span class="token punctuation">{</span>
<span class="token comment">// 每一层的元素个数</span>
<span class="token keyword">int</span> size <span class="token operator">=</span> queue<span class="token punctuation">.</span><span class="token function">size</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
<span class="token keyword">while</span><span class="token punctuation">(</span>size <span class="token operator">&gt;</span> <span class="token number">0</span><span class="token punctuation">)</span><span class="token punctuation">{</span>
<span class="token class-name">TreeNode</span> node <span class="token operator">=</span> queue<span class="token punctuation">.</span><span class="token function">poll</span><span class="token punctuation">(</span><span class="token punctuation">)</span><span class="token punctuation">;</span>
<span class="token keyword">if</span><span class="token punctuation">(</span>node<span class="token punctuation">.</span>left <span class="token operator">!=</span> <span class="token keyword">null</span><span class="token punctuation">)</span> queue<span class="token punctuation">.</span><span class="token function">offer</span><span class="token punctuation">(</span>node<span class="token punctuation">.</span>left<span class="token punctuation">)</span><span class="token punctuation">;</span>
<span class="token keyword">if</span><span class="token punctuation">(</span>node<span class="token punctuation">.</span>right <span class="token operator">!=</span> <span class="token keyword">null</span><span class="token punctuation">)</span> queue<span class="token punctuation">.</span><span class="token function">offer</span><span class="token punctuation">(</span>node<span class="token punctuation">.</span>right<span class="token punctuation">)</span><span class="token punctuation">;</span>
size<span class="token operator">--</span><span class="token punctuation">;</span>
<span class="token punctuation">}</span>
deepth<span class="token operator">++</span><span class="token punctuation">;</span>
<span class="token punctuation">}</span>
<span class="token keyword">return</span> deepth<span class="token punctuation">;</span>
<span class="token punctuation">}</span>
</code></pre><div class="line-numbers"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br></div></div><!--]--></div><footer class="page-meta"><!----><!----><!----></footer><nav class="page-nav"><p class="inner"><span class="prev"> ← <a href="/Algorithm/" class="nav-link router-link-active" aria-label="Back To 目录"><!--[--><!--]--> Back To 目录 <!--[--><!--]--></a></span><!----></p></nav><!--[--><!--]--></main><!--]--></div><!----><!--]--></div>
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