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krahets
2023-10-17 00:34:17 +08:00
parent 0ffc26cb53
commit b9e72e2b86
7 changed files with 119 additions and 113 deletions

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@ -6429,11 +6429,11 @@ n! = n \times (n - 1) \times (n - 2) \times \dots \times 2 \times 1
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<div class="highlight"><span class="filename">worst_best_time_complexity.zig</span><pre><span></span><code><a id="__codelineno-191-1" name="__codelineno-191-1" href="#__codelineno-191-1"></a><span class="c1">// 生成一个数组,元素为 { 1, 2, ..., n },顺序被打乱</span>
<a id="__codelineno-191-2" name="__codelineno-191-2" href="#__codelineno-191-2"></a><span class="kr">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="n">randomNumbers</span><span class="p">(</span><span class="kr">comptime</span><span class="w"> </span><span class="n">n</span><span class="o">:</span><span class="w"> </span><span class="kt">usize</span><span class="p">)</span><span class="w"> </span><span class="p">[</span><span class="n">n</span><span class="p">]</span><span class="kt">i32</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-191-2" name="__codelineno-191-2" href="#__codelineno-191-2"></a><span class="k">fn</span><span class="w"> </span><span class="n">randomNumbers</span><span class="p">(</span><span class="kr">comptime</span><span class="w"> </span><span class="n">n</span><span class="o">:</span><span class="w"> </span><span class="kt">usize</span><span class="p">)</span><span class="w"> </span><span class="p">[</span><span class="n">n</span><span class="p">]</span><span class="kt">i32</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-191-3" name="__codelineno-191-3" href="#__codelineno-191-3"></a><span class="w"> </span><span class="kr">var</span><span class="w"> </span><span class="n">nums</span><span class="o">:</span><span class="w"> </span><span class="p">[</span><span class="n">n</span><span class="p">]</span><span class="kt">i32</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="kc">undefined</span><span class="p">;</span>
<a id="__codelineno-191-4" name="__codelineno-191-4" href="#__codelineno-191-4"></a><span class="w"> </span><span class="c1">// 生成数组 nums = { 1, 2, 3, ..., n }</span>
<a id="__codelineno-191-5" name="__codelineno-191-5" href="#__codelineno-191-5"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">nums</span><span class="p">)</span><span class="w"> </span><span class="o">|*</span><span class="n">num</span><span class="p">,</span><span class="w"> </span><span class="n">i</span><span class="o">|</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-191-6" name="__codelineno-191-6" href="#__codelineno-191-6"></a><span class="w"> </span><span class="n">num</span><span class="p">.</span><span class="o">*</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">@intCast</span><span class="p">(</span><span class="kt">i32</span><span class="p">,</span><span class="w"> </span><span class="n">i</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
<a id="__codelineno-191-5" name="__codelineno-191-5" href="#__codelineno-191-5"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="o">&amp;</span><span class="n">nums</span><span class="p">,</span><span class="w"> </span><span class="mi">0</span><span class="p">..)</span><span class="w"> </span><span class="o">|*</span><span class="n">num</span><span class="p">,</span><span class="w"> </span><span class="n">i</span><span class="o">|</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-191-6" name="__codelineno-191-6" href="#__codelineno-191-6"></a><span class="w"> </span><span class="n">num</span><span class="p">.</span><span class="o">*</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">@as</span><span class="p">(</span><span class="kt">i32</span><span class="p">,</span><span class="w"> </span><span class="nb">@intCast</span><span class="p">(</span><span class="n">i</span><span class="p">))</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
<a id="__codelineno-191-7" name="__codelineno-191-7" href="#__codelineno-191-7"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-191-8" name="__codelineno-191-8" href="#__codelineno-191-8"></a><span class="w"> </span><span class="c1">// 随机打乱数组元素</span>
<a id="__codelineno-191-9" name="__codelineno-191-9" href="#__codelineno-191-9"></a><span class="w"> </span><span class="kr">const</span><span class="w"> </span><span class="n">rand</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">std</span><span class="p">.</span><span class="n">crypto</span><span class="p">.</span><span class="n">random</span><span class="p">;</span>
@ -6442,11 +6442,11 @@ n! = n \times (n - 1) \times (n - 2) \times \dots \times 2 \times 1
<a id="__codelineno-191-12" name="__codelineno-191-12" href="#__codelineno-191-12"></a><span class="p">}</span>
<a id="__codelineno-191-13" name="__codelineno-191-13" href="#__codelineno-191-13"></a>
<a id="__codelineno-191-14" name="__codelineno-191-14" href="#__codelineno-191-14"></a><span class="c1">// 查找数组 nums 中数字 1 所在索引</span>
<a id="__codelineno-191-15" name="__codelineno-191-15" href="#__codelineno-191-15"></a><span class="kr">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="n">findOne</span><span class="p">(</span><span class="n">nums</span><span class="o">:</span><span class="w"> </span><span class="p">[]</span><span class="kt">i32</span><span class="p">)</span><span class="w"> </span><span class="kt">i32</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-191-16" name="__codelineno-191-16" href="#__codelineno-191-16"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">nums</span><span class="p">)</span><span class="w"> </span><span class="o">|</span><span class="n">num</span><span class="p">,</span><span class="w"> </span><span class="n">i</span><span class="o">|</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-191-15" name="__codelineno-191-15" href="#__codelineno-191-15"></a><span class="k">fn</span><span class="w"> </span><span class="n">findOne</span><span class="p">(</span><span class="n">nums</span><span class="o">:</span><span class="w"> </span><span class="p">[]</span><span class="kt">i32</span><span class="p">)</span><span class="w"> </span><span class="kt">i32</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-191-16" name="__codelineno-191-16" href="#__codelineno-191-16"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">nums</span><span class="p">,</span><span class="w"> </span><span class="mi">0</span><span class="p">..)</span><span class="w"> </span><span class="o">|</span><span class="n">num</span><span class="p">,</span><span class="w"> </span><span class="n">i</span><span class="o">|</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-191-17" name="__codelineno-191-17" href="#__codelineno-191-17"></a><span class="w"> </span><span class="c1">// 当元素 1 在数组头部时,达到最佳时间复杂度 O(1)</span>
<a id="__codelineno-191-18" name="__codelineno-191-18" href="#__codelineno-191-18"></a><span class="w"> </span><span class="c1">// 当元素 1 在数组尾部时,达到最差时间复杂度 O(n)</span>
<a id="__codelineno-191-19" name="__codelineno-191-19" href="#__codelineno-191-19"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">num</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">1</span><span class="p">)</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="nb">@intCast</span><span class="p">(</span><span class="kt">i32</span><span class="p">,</span><span class="w"> </span><span class="n">i</span><span class="p">);</span>
<a id="__codelineno-191-19" name="__codelineno-191-19" href="#__codelineno-191-19"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">num</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">1</span><span class="p">)</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="nb">@intCast</span><span class="p">(</span><span class="n">i</span><span class="p">);</span>
<a id="__codelineno-191-20" name="__codelineno-191-20" href="#__codelineno-191-20"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-191-21" name="__codelineno-191-21" href="#__codelineno-191-21"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="o">-</span><span class="mi">1</span><span class="p">;</span>
<a id="__codelineno-191-22" name="__codelineno-191-22" href="#__codelineno-191-22"></a><span class="p">}</span>