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@@ -3623,53 +3623,54 @@
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<div class="highlight"><span class="filename">merge_sort.swift</span><pre><span></span><code><a id="__codelineno-5-1" name="__codelineno-5-1" href="#__codelineno-5-1"></a><span class="cm">/* 合并左子数组和右子数组 */</span>
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<a id="__codelineno-5-2" name="__codelineno-5-2" href="#__codelineno-5-2"></a><span class="c1">// 左子数组区间 [left, mid]</span>
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<a id="__codelineno-5-3" name="__codelineno-5-3" href="#__codelineno-5-3"></a><span class="c1">// 右子数组区间 [mid + 1, right]</span>
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<a id="__codelineno-5-4" name="__codelineno-5-4" href="#__codelineno-5-4"></a><span class="kd">func</span> <span class="nf">merge</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span> <span class="kr">inout</span> <span class="p">[</span><span class="nb">Int</span><span class="p">],</span> <span class="kr">left</span><span class="p">:</span> <span class="nb">Int</span><span class="p">,</span> <span class="n">mid</span><span class="p">:</span> <span class="nb">Int</span><span class="p">,</span> <span class="kr">right</span><span class="p">:</span> <span class="nb">Int</span><span class="p">)</span> <span class="p">{</span>
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<a id="__codelineno-5-5" name="__codelineno-5-5" href="#__codelineno-5-5"></a> <span class="c1">// 初始化辅助数组</span>
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<a id="__codelineno-5-6" name="__codelineno-5-6" href="#__codelineno-5-6"></a> <span class="kd">let</span> <span class="nv">tmp</span> <span class="p">=</span> <span class="nb">Array</span><span class="p">(</span><span class="n">nums</span><span class="p">[</span><span class="kr">left</span> <span class="p">..</span><span class="o"><</span> <span class="p">(</span><span class="kr">right</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)])</span>
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<a id="__codelineno-5-7" name="__codelineno-5-7" href="#__codelineno-5-7"></a> <span class="c1">// 左子数组的起始索引和结束索引</span>
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<a id="__codelineno-5-8" name="__codelineno-5-8" href="#__codelineno-5-8"></a> <span class="kd">let</span> <span class="nv">leftStart</span> <span class="p">=</span> <span class="kr">left</span> <span class="o">-</span> <span class="kr">left</span>
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<a id="__codelineno-5-9" name="__codelineno-5-9" href="#__codelineno-5-9"></a> <span class="kd">let</span> <span class="nv">leftEnd</span> <span class="p">=</span> <span class="n">mid</span> <span class="o">-</span> <span class="kr">left</span>
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<a id="__codelineno-5-10" name="__codelineno-5-10" href="#__codelineno-5-10"></a> <span class="c1">// 右子数组的起始索引和结束索引</span>
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<a id="__codelineno-5-11" name="__codelineno-5-11" href="#__codelineno-5-11"></a> <span class="kd">let</span> <span class="nv">rightStart</span> <span class="p">=</span> <span class="n">mid</span> <span class="o">+</span> <span class="mi">1</span> <span class="o">-</span> <span class="kr">left</span>
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<a id="__codelineno-5-12" name="__codelineno-5-12" href="#__codelineno-5-12"></a> <span class="kd">let</span> <span class="nv">rightEnd</span> <span class="p">=</span> <span class="kr">right</span> <span class="o">-</span> <span class="kr">left</span>
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<a id="__codelineno-5-13" name="__codelineno-5-13" href="#__codelineno-5-13"></a> <span class="c1">// i, j 分别指向左子数组、右子数组的首元素</span>
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<a id="__codelineno-5-14" name="__codelineno-5-14" href="#__codelineno-5-14"></a> <span class="kd">var</span> <span class="nv">i</span> <span class="p">=</span> <span class="n">leftStart</span>
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<a id="__codelineno-5-15" name="__codelineno-5-15" href="#__codelineno-5-15"></a> <span class="kd">var</span> <span class="nv">j</span> <span class="p">=</span> <span class="n">rightStart</span>
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<a id="__codelineno-5-16" name="__codelineno-5-16" href="#__codelineno-5-16"></a> <span class="c1">// 通过覆盖原数组 nums 来合并左子数组和右子数组</span>
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<a id="__codelineno-5-17" name="__codelineno-5-17" href="#__codelineno-5-17"></a> <span class="k">for</span> <span class="n">k</span> <span class="k">in</span> <span class="kr">left</span> <span class="p">...</span> <span class="kr">right</span> <span class="p">{</span>
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<a id="__codelineno-5-18" name="__codelineno-5-18" href="#__codelineno-5-18"></a> <span class="c1">// 若“左子数组已全部合并完”，则选取右子数组元素，并且 j++</span>
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<a id="__codelineno-5-19" name="__codelineno-5-19" href="#__codelineno-5-19"></a> <span class="k">if</span> <span class="n">i</span> <span class="o">></span> <span class="n">leftEnd</span> <span class="p">{</span>
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<a id="__codelineno-5-20" name="__codelineno-5-20" href="#__codelineno-5-20"></a> <span class="n">nums</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="p">=</span> <span class="n">tmp</span><span class="p">[</span><span class="n">j</span><span class="p">]</span>
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<a id="__codelineno-5-21" name="__codelineno-5-21" href="#__codelineno-5-21"></a> <span class="n">j</span> <span class="o">+=</span> <span class="mi">1</span>
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<a id="__codelineno-5-22" name="__codelineno-5-22" href="#__codelineno-5-22"></a> <span class="p">}</span>
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<a id="__codelineno-5-23" name="__codelineno-5-23" href="#__codelineno-5-23"></a> <span class="c1">// 否则，若“右子数组已全部合并完”或“左子数组元素 <= 右子数组元素”，则选取左子数组元素，并且 i++</span>
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<a id="__codelineno-5-24" name="__codelineno-5-24" href="#__codelineno-5-24"></a> <span class="k">else</span> <span class="k">if</span> <span class="n">j</span> <span class="o">></span> <span class="n">rightEnd</span> <span class="o">||</span> <span class="n">tmp</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o"><=</span> <span class="n">tmp</span><span class="p">[</span><span class="n">j</span><span class="p">]</span> <span class="p">{</span>
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<a id="__codelineno-5-25" name="__codelineno-5-25" href="#__codelineno-5-25"></a> <span class="n">nums</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="p">=</span> <span class="n">tmp</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
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<a id="__codelineno-5-26" name="__codelineno-5-26" href="#__codelineno-5-26"></a> <span class="n">i</span> <span class="o">+=</span> <span class="mi">1</span>
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<a id="__codelineno-5-27" name="__codelineno-5-27" href="#__codelineno-5-27"></a> <span class="p">}</span>
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<a id="__codelineno-5-28" name="__codelineno-5-28" href="#__codelineno-5-28"></a> <span class="c1">// 否则，若“左右子数组都未全部合并完”且“左子数组元素 > 右子数组元素”，则选取右子数组元素，并且 j++</span>
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<a id="__codelineno-5-29" name="__codelineno-5-29" href="#__codelineno-5-29"></a> <span class="k">else</span> <span class="p">{</span>
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<a id="__codelineno-5-30" name="__codelineno-5-30" href="#__codelineno-5-30"></a> <span class="n">nums</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="p">=</span> <span class="n">tmp</span><span class="p">[</span><span class="n">j</span><span class="p">]</span>
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<a id="__codelineno-5-31" name="__codelineno-5-31" href="#__codelineno-5-31"></a> <span class="n">j</span> <span class="o">+=</span> <span class="mi">1</span>
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<a id="__codelineno-5-32" name="__codelineno-5-32" href="#__codelineno-5-32"></a> <span class="p">}</span>
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<a id="__codelineno-5-33" name="__codelineno-5-33" href="#__codelineno-5-33"></a> <span class="p">}</span>
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<a id="__codelineno-5-34" name="__codelineno-5-34" href="#__codelineno-5-34"></a><span class="p">}</span>
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<a id="__codelineno-5-35" name="__codelineno-5-35" href="#__codelineno-5-35"></a>
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<a id="__codelineno-5-36" name="__codelineno-5-36" href="#__codelineno-5-36"></a><span class="cm">/* 归并排序 */</span>
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<a id="__codelineno-5-37" name="__codelineno-5-37" href="#__codelineno-5-37"></a><span class="kd">func</span> <span class="nf">mergeSort</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span> <span class="kr">inout</span> <span class="p">[</span><span class="nb">Int</span><span class="p">],</span> <span class="kr">left</span><span class="p">:</span> <span class="nb">Int</span><span class="p">,</span> <span class="kr">right</span><span class="p">:</span> <span class="nb">Int</span><span class="p">)</span> <span class="p">{</span>
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<a id="__codelineno-5-38" name="__codelineno-5-38" href="#__codelineno-5-38"></a> <span class="c1">// 终止条件</span>
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<a id="__codelineno-5-39" name="__codelineno-5-39" href="#__codelineno-5-39"></a> <span class="k">if</span> <span class="kr">left</span> <span class="o">>=</span> <span class="kr">right</span> <span class="p">{</span> <span class="c1">// 当子数组长度为 1 时终止递归</span>
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<a id="__codelineno-5-40" name="__codelineno-5-40" href="#__codelineno-5-40"></a> <span class="k">return</span>
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<a id="__codelineno-5-41" name="__codelineno-5-41" href="#__codelineno-5-41"></a> <span class="p">}</span>
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<a id="__codelineno-5-42" name="__codelineno-5-42" href="#__codelineno-5-42"></a> <span class="c1">// 划分阶段</span>
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<a id="__codelineno-5-43" name="__codelineno-5-43" href="#__codelineno-5-43"></a> <span class="kd">let</span> <span class="nv">mid</span> <span class="p">=</span> <span class="p">(</span><span class="kr">left</span> <span class="o">+</span> <span class="kr">right</span><span class="p">)</span> <span class="o">/</span> <span class="mi">2</span> <span class="c1">// 计算中点</span>
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<a id="__codelineno-5-44" name="__codelineno-5-44" href="#__codelineno-5-44"></a> <span class="n">mergeSort</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span> <span class="p">&</span><span class="n">nums</span><span class="p">,</span> <span class="kr">left</span><span class="p">:</span> <span class="kr">left</span><span class="p">,</span> <span class="kr">right</span><span class="p">:</span> <span class="n">mid</span><span class="p">)</span> <span class="c1">// 递归左子数组</span>
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<a id="__codelineno-5-45" name="__codelineno-5-45" href="#__codelineno-5-45"></a> <span class="n">mergeSort</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span> <span class="p">&</span><span class="n">nums</span><span class="p">,</span> <span class="kr">left</span><span class="p">:</span> <span class="n">mid</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span> <span class="kr">right</span><span class="p">:</span> <span class="kr">right</span><span class="p">)</span> <span class="c1">// 递归右子数组</span>
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<a id="__codelineno-5-46" name="__codelineno-5-46" href="#__codelineno-5-46"></a> <span class="c1">// 合并阶段</span>
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<a id="__codelineno-5-47" name="__codelineno-5-47" href="#__codelineno-5-47"></a> <span class="n">merge</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span> <span class="p">&</span><span class="n">nums</span><span class="p">,</span> <span class="kr">left</span><span class="p">:</span> <span class="kr">left</span><span class="p">,</span> <span class="n">mid</span><span class="p">:</span> <span class="n">mid</span><span class="p">,</span> <span class="kr">right</span><span class="p">:</span> <span class="kr">right</span><span class="p">)</span>
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<a id="__codelineno-5-48" name="__codelineno-5-48" href="#__codelineno-5-48"></a><span class="p">}</span>
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<a id="__codelineno-5-2" name="__codelineno-5-2" href="#__codelineno-5-2"></a><span class="kd">func</span> <span class="nf">merge</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span> <span class="kr">inout</span> <span class="p">[</span><span class="nb">Int</span><span class="p">],</span> <span class="kr">left</span><span class="p">:</span> <span class="nb">Int</span><span class="p">,</span> <span class="n">mid</span><span class="p">:</span> <span class="nb">Int</span><span class="p">,</span> <span class="kr">right</span><span class="p">:</span> <span class="nb">Int</span><span class="p">)</span> <span class="p">{</span>
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<a id="__codelineno-5-3" name="__codelineno-5-3" href="#__codelineno-5-3"></a> <span class="c1">// 左子数组区间 [left, mid], 右子数组区间 [mid+1, right]</span>
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<a id="__codelineno-5-4" name="__codelineno-5-4" href="#__codelineno-5-4"></a> <span class="c1">// 创建一个临时数组 tmp ，用于存放合并后的结果</span>
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<a id="__codelineno-5-5" name="__codelineno-5-5" href="#__codelineno-5-5"></a> <span class="kd">var</span> <span class="nv">tmp</span> <span class="p">=</span> <span class="nb">Array</span><span class="p">(</span><span class="n">repeating</span><span class="p">:</span> <span class="mi">0</span><span class="p">,</span> <span class="bp">count</span><span class="p">:</span> <span class="kr">right</span> <span class="o">-</span> <span class="kr">left</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span>
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<a id="__codelineno-5-6" name="__codelineno-5-6" href="#__codelineno-5-6"></a> <span class="c1">// 初始化左子数组和右子数组的起始索引</span>
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<a id="__codelineno-5-7" name="__codelineno-5-7" href="#__codelineno-5-7"></a> <span class="kd">var</span> <span class="nv">i</span> <span class="p">=</span> <span class="kr">left</span><span class="p">,</span> <span class="n">j</span> <span class="p">=</span> <span class="n">mid</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span> <span class="n">k</span> <span class="p">=</span> <span class="mi">0</span>
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<a id="__codelineno-5-8" name="__codelineno-5-8" href="#__codelineno-5-8"></a> <span class="c1">// 当左右子数组都还有元素时，比较并将较小的元素复制到临时数组中</span>
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<a id="__codelineno-5-9" name="__codelineno-5-9" href="#__codelineno-5-9"></a> <span class="k">while</span> <span class="n">i</span> <span class="o"><=</span> <span class="n">mid</span><span class="p">,</span> <span class="n">j</span> <span class="o"><=</span> <span class="kr">right</span> <span class="p">{</span>
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<a id="__codelineno-5-10" name="__codelineno-5-10" href="#__codelineno-5-10"></a> <span class="k">if</span> <span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o"><=</span> <span class="n">nums</span><span class="p">[</span><span class="n">j</span><span class="p">]</span> <span class="p">{</span>
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<a id="__codelineno-5-11" name="__codelineno-5-11" href="#__codelineno-5-11"></a> <span class="n">tmp</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="p">=</span> <span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
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<a id="__codelineno-5-12" name="__codelineno-5-12" href="#__codelineno-5-12"></a> <span class="n">i</span> <span class="o">+=</span> <span class="mi">1</span>
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<a id="__codelineno-5-13" name="__codelineno-5-13" href="#__codelineno-5-13"></a> <span class="n">k</span> <span class="o">+=</span> <span class="mi">1</span>
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<a id="__codelineno-5-14" name="__codelineno-5-14" href="#__codelineno-5-14"></a> <span class="p">}</span> <span class="k">else</span> <span class="p">{</span>
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<a id="__codelineno-5-15" name="__codelineno-5-15" href="#__codelineno-5-15"></a> <span class="n">tmp</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="p">=</span> <span class="n">nums</span><span class="p">[</span><span class="n">j</span><span class="p">]</span>
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<a id="__codelineno-5-16" name="__codelineno-5-16" href="#__codelineno-5-16"></a> <span class="n">j</span> <span class="o">+=</span> <span class="mi">1</span>
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<a id="__codelineno-5-17" name="__codelineno-5-17" href="#__codelineno-5-17"></a> <span class="n">k</span> <span class="o">+=</span> <span class="mi">1</span>
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<a id="__codelineno-5-18" name="__codelineno-5-18" href="#__codelineno-5-18"></a> <span class="p">}</span>
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<a id="__codelineno-5-19" name="__codelineno-5-19" href="#__codelineno-5-19"></a> <span class="p">}</span>
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<a id="__codelineno-5-20" name="__codelineno-5-20" href="#__codelineno-5-20"></a> <span class="c1">// 将左子数组和右子数组的剩余元素复制到临时数组中</span>
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<a id="__codelineno-5-21" name="__codelineno-5-21" href="#__codelineno-5-21"></a> <span class="k">while</span> <span class="n">i</span> <span class="o"><=</span> <span class="n">mid</span> <span class="p">{</span>
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<a id="__codelineno-5-22" name="__codelineno-5-22" href="#__codelineno-5-22"></a> <span class="n">tmp</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="p">=</span> <span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
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<a id="__codelineno-5-23" name="__codelineno-5-23" href="#__codelineno-5-23"></a> <span class="n">i</span> <span class="o">+=</span> <span class="mi">1</span>
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<a id="__codelineno-5-24" name="__codelineno-5-24" href="#__codelineno-5-24"></a> <span class="n">k</span> <span class="o">+=</span> <span class="mi">1</span>
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<a id="__codelineno-5-25" name="__codelineno-5-25" href="#__codelineno-5-25"></a> <span class="p">}</span>
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<a id="__codelineno-5-26" name="__codelineno-5-26" href="#__codelineno-5-26"></a> <span class="k">while</span> <span class="n">j</span> <span class="o"><=</span> <span class="kr">right</span> <span class="p">{</span>
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<a id="__codelineno-5-27" name="__codelineno-5-27" href="#__codelineno-5-27"></a> <span class="n">tmp</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="p">=</span> <span class="n">nums</span><span class="p">[</span><span class="n">j</span><span class="p">]</span>
|
||||
<a id="__codelineno-5-28" name="__codelineno-5-28" href="#__codelineno-5-28"></a> <span class="n">j</span> <span class="o">+=</span> <span class="mi">1</span>
|
||||
<a id="__codelineno-5-29" name="__codelineno-5-29" href="#__codelineno-5-29"></a> <span class="n">k</span> <span class="o">+=</span> <span class="mi">1</span>
|
||||
<a id="__codelineno-5-30" name="__codelineno-5-30" href="#__codelineno-5-30"></a> <span class="p">}</span>
|
||||
<a id="__codelineno-5-31" name="__codelineno-5-31" href="#__codelineno-5-31"></a> <span class="c1">// 将临时数组 tmp 中的元素复制回原数组 nums 的对应区间</span>
|
||||
<a id="__codelineno-5-32" name="__codelineno-5-32" href="#__codelineno-5-32"></a> <span class="k">for</span> <span class="n">k</span> <span class="k">in</span> <span class="n">tmp</span><span class="p">.</span><span class="bp">indices</span> <span class="p">{</span>
|
||||
<a id="__codelineno-5-33" name="__codelineno-5-33" href="#__codelineno-5-33"></a> <span class="n">nums</span><span class="p">[</span><span class="kr">left</span> <span class="o">+</span> <span class="n">k</span><span class="p">]</span> <span class="p">=</span> <span class="n">tmp</span><span class="p">[</span><span class="n">k</span><span class="p">]</span>
|
||||
<a id="__codelineno-5-34" name="__codelineno-5-34" href="#__codelineno-5-34"></a> <span class="p">}</span>
|
||||
<a id="__codelineno-5-35" name="__codelineno-5-35" href="#__codelineno-5-35"></a><span class="p">}</span>
|
||||
<a id="__codelineno-5-36" name="__codelineno-5-36" href="#__codelineno-5-36"></a>
|
||||
<a id="__codelineno-5-37" name="__codelineno-5-37" href="#__codelineno-5-37"></a><span class="cm">/* 归并排序 */</span>
|
||||
<a id="__codelineno-5-38" name="__codelineno-5-38" href="#__codelineno-5-38"></a><span class="kd">func</span> <span class="nf">mergeSort</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span> <span class="kr">inout</span> <span class="p">[</span><span class="nb">Int</span><span class="p">],</span> <span class="kr">left</span><span class="p">:</span> <span class="nb">Int</span><span class="p">,</span> <span class="kr">right</span><span class="p">:</span> <span class="nb">Int</span><span class="p">)</span> <span class="p">{</span>
|
||||
<a id="__codelineno-5-39" name="__codelineno-5-39" href="#__codelineno-5-39"></a> <span class="c1">// 终止条件</span>
|
||||
<a id="__codelineno-5-40" name="__codelineno-5-40" href="#__codelineno-5-40"></a> <span class="k">if</span> <span class="kr">left</span> <span class="o">>=</span> <span class="kr">right</span> <span class="p">{</span> <span class="c1">// 当子数组长度为 1 时终止递归</span>
|
||||
<a id="__codelineno-5-41" name="__codelineno-5-41" href="#__codelineno-5-41"></a> <span class="k">return</span>
|
||||
<a id="__codelineno-5-42" name="__codelineno-5-42" href="#__codelineno-5-42"></a> <span class="p">}</span>
|
||||
<a id="__codelineno-5-43" name="__codelineno-5-43" href="#__codelineno-5-43"></a> <span class="c1">// 划分阶段</span>
|
||||
<a id="__codelineno-5-44" name="__codelineno-5-44" href="#__codelineno-5-44"></a> <span class="kd">let</span> <span class="nv">mid</span> <span class="p">=</span> <span class="p">(</span><span class="kr">left</span> <span class="o">+</span> <span class="kr">right</span><span class="p">)</span> <span class="o">/</span> <span class="mi">2</span> <span class="c1">// 计算中点</span>
|
||||
<a id="__codelineno-5-45" name="__codelineno-5-45" href="#__codelineno-5-45"></a> <span class="n">mergeSort</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span> <span class="p">&</span><span class="n">nums</span><span class="p">,</span> <span class="kr">left</span><span class="p">:</span> <span class="kr">left</span><span class="p">,</span> <span class="kr">right</span><span class="p">:</span> <span class="n">mid</span><span class="p">)</span> <span class="c1">// 递归左子数组</span>
|
||||
<a id="__codelineno-5-46" name="__codelineno-5-46" href="#__codelineno-5-46"></a> <span class="n">mergeSort</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span> <span class="p">&</span><span class="n">nums</span><span class="p">,</span> <span class="kr">left</span><span class="p">:</span> <span class="n">mid</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span> <span class="kr">right</span><span class="p">:</span> <span class="kr">right</span><span class="p">)</span> <span class="c1">// 递归右子数组</span>
|
||||
<a id="__codelineno-5-47" name="__codelineno-5-47" href="#__codelineno-5-47"></a> <span class="c1">// 合并阶段</span>
|
||||
<a id="__codelineno-5-48" name="__codelineno-5-48" href="#__codelineno-5-48"></a> <span class="n">merge</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span> <span class="p">&</span><span class="n">nums</span><span class="p">,</span> <span class="kr">left</span><span class="p">:</span> <span class="kr">left</span><span class="p">,</span> <span class="n">mid</span><span class="p">:</span> <span class="n">mid</span><span class="p">,</span> <span class="kr">right</span><span class="p">:</span> <span class="kr">right</span><span class="p">)</span>
|
||||
<a id="__codelineno-5-49" name="__codelineno-5-49" href="#__codelineno-5-49"></a><span class="p">}</span>
|
||||
</code></pre></div>
|
||||
</div>
|
||||
<div class="tabbed-block">
|
||||
|
||||
Reference in New Issue
Block a user