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<meta name="description" content="如需下载源代码,请到githubhttps:&#x2F;&#x2F;github.com&#x2F;wahyd4&#x2F;java-sorting Shell(希尔)排序是建立在直接插入排序基础上之上的,只是它会先将这个数组按照一定的间隔分成若干个小数组先进行直接插入排序。以先比较较远的元素,再比较较近的元素,最后比较相邻的元素。可以逐步减小比较的次数。其时间复杂度优于直接插入排序。 更多的信息请查看百度百科或者维基百科的介绍。">
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<meta property="og:description" content="如需下载源代码,请到githubhttps:&#x2F;&#x2F;github.com&#x2F;wahyd4&#x2F;java-sorting Shell(希尔)排序是建立在直接插入排序基础上之上的,只是它会先将这个数组按照一定的间隔分成若干个小数组先进行直接插入排序。以先比较较远的元素,再比较较近的元素,最后比较相邻的元素。可以逐步减小比较的次数。其时间复杂度优于直接插入排序。 更多的信息请查看百度百科或者维基百科的介绍。">
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Java实现Shell(希尔)排序
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<time title="创建时间:2012-09-11 00:00:00" itemprop="dateCreated datePublished" datetime="2012-09-11T00:00:00+10:00">2012-09-11</time>
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<p>如需下载源代码,请到github<a target="_blank" rel="noopener" href="https://github.com/wahyd4/java-sorting">https://github.com/wahyd4/java-sorting</a></p>
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<p>Shell(希尔)排序是建立在直接插入排序基础上之上的,只是它会先将这个数组按照一定的间隔分成若干个小数组先进行直接插入排序。以先比较较远的元素,再比较较近的元素,最后比较相邻的元素。可以逐步减小比较的次数。其时间复杂度优于直接插入排序。</p>
<p>更多的信息请查看<a target="_blank" rel="noopener" href="http://baike.baidu.com/view/178698.htm">百度百科</a>或者<a target="_blank" rel="noopener" href="http://zh.wikipedia.org/zh/%E5%B8%8C%E5%B0%94%E6%8E%92%E5%BA%8F">维基百科</a>的介绍。下面上希尔排序的代码:</p>
<figure class="highlight java"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span class="line">30</span><br><span class="line">31</span><br></pre></td><td class="code"><pre><span class="line"><span class="keyword">public</span> <span class="keyword">class</span> <span class="title class_">ShellSort</span> &#123;</span><br><span class="line"></span><br><span class="line"> <span class="comment">// 定义需要排序的数组</span></span><br><span class="line"> <span class="keyword">private</span> <span class="keyword">static</span> <span class="type">int</span>[] data = &#123; <span class="number">16</span>, <span class="number">20</span>, <span class="number">1</span>, <span class="number">6</span>, <span class="number">3</span>, <span class="number">19</span>, <span class="number">7</span>, <span class="number">14</span>, <span class="number">5</span>, <span class="number">60</span>, <span class="number">29</span>, <span class="number">40</span> &#125;;</span><br><span class="line"></span><br><span class="line"> <span class="keyword">public</span> <span class="keyword">static</span> <span class="keyword">void</span> <span class="title function_">shellSort</span><span class="params">(<span class="type">int</span>[] data)</span> &#123;</span><br><span class="line"> <span class="comment">//获取数组长度</span></span><br><span class="line"> <span class="type">int</span> <span class="variable">length</span> <span class="operator">=</span> data.length;</span><br><span class="line"> <span class="comment">// 首先进行分组,每次组中元素为之前1/2。</span></span><br><span class="line"> <span class="keyword">for</span> (<span class="type">int</span> <span class="variable">gap</span> <span class="operator">=</span> length / <span class="number">2</span>; gap &gt; <span class="number">0</span>; gap = gap / <span class="number">2</span>) &#123;</span><br><span class="line"> <span class="comment">// 对每个组进行插入比较</span></span><br><span class="line"> <span class="keyword">for</span> (<span class="type">int</span> <span class="variable">i</span> <span class="operator">=</span> gap; i = gap &amp;&amp; data[j] &lt; data[j - gap]; j = j- gap) &#123;</span><br><span class="line"> <span class="comment">//缓存下表最大的那个数</span></span><br><span class="line"> <span class="type">int</span> <span class="variable">temp</span> <span class="operator">=</span> data[j];</span><br><span class="line"> <span class="comment">//将两数交换位置,将较大数保存到下标最大的位置。</span></span><br><span class="line"> data[j] = data[j - gap];</span><br><span class="line"> data[j - gap] = temp;</span><br><span class="line"> &#125;</span><br><span class="line"></span><br><span class="line"> &#125;</span><br><span class="line"> &#125;</span><br><span class="line"> &#125;</span><br><span class="line"></span><br><span class="line"> <span class="keyword">public</span> <span class="keyword">static</span> <span class="keyword">void</span> <span class="title function_">main</span><span class="params">(String[] args)</span> &#123;</span><br><span class="line"> shellSort(data);</span><br><span class="line"> <span class="keyword">for</span> (<span class="type">int</span> flag : data) &#123;</span><br><span class="line"> System.out.print(flag + <span class="string">&quot; &quot;</span>);</span><br><span class="line"> &#125;</span><br><span class="line"> &#125;</span><br><span class="line"></span><br><span class="line">&#125;</span><br></pre></td></tr></table></figure>
<p>虽然代码里面希尔排序是三层循环,但是只有中间层循环才是n数量级,外层循环为lbn,最里程循环也远小于n.平均时间复杂度还优于直接插入排序。</p>
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