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zh-hant/chapter_computational_complexity/time_complexity/index.html
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</details>
<h3 id="4-o2n">4. &nbsp; 指數階 <span class="arithmatex">\(O(2^n)\)</span><a class="headerlink" href="#4-o2n" title="Permanent link">&para;</a></h3>
<p>生物學的“細胞分裂”是指數階增長的典型例子：初始狀態為 <span class="arithmatex">\(1\)</span> 個細胞，分裂一輪後變為 <span class="arithmatex">\(2\)</span> 個，分裂兩輪後變為 <span class="arithmatex">\(4\)</span> 個，以此類推，分裂 <span class="arithmatex">\(n\)</span> 輪後有 <span class="arithmatex">\(2^n\)</span> 個細胞。</p>
<p>圖 2-11 和以下程式碼模擬了細胞分裂的過程，時間複雜度為 <span class="arithmatex">\(O(2^n)\)</span> ：</p>
<p>圖 2-11 和以下程式碼模擬了細胞分裂的過程，時間複雜度為 <span class="arithmatex">\(O(2^n)\)</span> 。請注意，輸入 <span class="arithmatex">\(n\)</span> 表示分裂輪數，返回值 <code>count</code> 表示總分裂次數。</p>
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zh-hant/chapter_preface/about_the_book/index.html
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<p align="center"> 圖 0-1 &nbsp; 本書主要內容 </p>
<h2 id="013">0.1.3 &nbsp; 致謝<a class="headerlink" href="#013" title="Permanent link">&para;</a></h2>
<p>本書在開源社群眾多貢獻者的共同努力下不斷完善。感謝每一位投入時間與精力的撰稿人，他們是（按照 GitHub 自動生成的順序）：krahets、Gonglja、nuomi1、codingonion、Reanon、justin-tse、hpstory、danielsss、curtishd、night-cruise、S-N-O-R-L-A-X、msk397、gvenusleo、RiverTwilight、gyt95、zhuoqinyue、Zuoxun、mingXta、hello-ikun、khoaxuantu、FangYuan33、GN-Yu、longsizhuo、mgisr、Cathay-Chen、guowei-gong、xBLACKICEx、K3v123、IsChristina、JoseHung、qualifier1024、pengchzn、Guanngxu、QiLOL、L-Super、WSL0809、Slone123c、lhxsm、yuan0221、what-is-me、rongyi、JeffersonHuang、longranger2、theNefelibatas、yuelinxin、xiongsp、nanlei、a16su、cy-by-side、gaofer、malone6、Wonderdch、hongyun-robot、XiaChuerwu、yd-j、bluebean-cloud、iron-irax、he-weilai、Nigh、MolDuM、Phoenix0415、XC-Zero、SamJin98、reeswell、NI-SW、Horbin-Magician、xjr7670、YangXuanyi、DullSword、iStig、qq909244296、jiaxianhua、wenjianmin、keshida、kilikilikid、lclc6、lwbaptx、luluxia、boloboloda、hts0000、gledfish、fbigm、echo1937、szu17dmy、dshlstarr、coderlef、czruby、beintentional、KeiichiKasai、xb534、ElaBosak233、baagod、zhouLion、yishangzhang、yi427、yabo083、weibk、wangwang105、th1nk3r-ing、tao363、4yDX3906、syd168、siqyka、selear、sdshaoda、noobcodemaker、chadyi、lyl625760、lucaswangdev、liuxjerry、0130w、shanghai-Jerry、JackYang-hellobobo、Javesun99、lipusheng、ShiMaRing、FreddieLi、FloranceYeh、Transmigration-zhou、fanchenggang、gltianwen、Dr-XYZ、curly210102、CuB3y0nd、youshaoXG、bubble9um、fanenr、52coder、foursevenlove、KorsChen、ZongYangL、hezhizhen、linzeyan、ZJKung、GaochaoZhu、yang-le、Evilrabbit520、Turing-1024-Lee、Suremotoo、Allen-Scai、Richard-Zhang1019、qingpeng9802、primexiao、nidhoggfgg、1ch0、MwumLi、ZnYang2018、hugtyftg、logan-qiu、psychelzh 和 Keynman 。</p>
<p>本書的程式碼審閱工作由 codingonion、curtishd、Gonglja、gvenusleo、hpstory、justin-tse、khoaxuantu、krahets、night-cruise、nuomi1 和 Reanon 完成（按照首字母順序排列）。感謝他們付出的時間與精力，正是他們確保了各語言程式碼的規範與統一。</p>
<p>本書在開源社群眾多貢獻者的共同努力下不斷完善。感謝每一位投入時間與精力的撰稿人，他們是（按照 GitHub 自動生成的順序）：krahets、coderonion、Gonglja、nuomi1、Reanon、justin-tse、hpstory、danielsss、curtishd、night-cruise、S-N-O-R-L-A-X、msk397、gvenusleo、khoaxuantu、RiverTwilight、rongyi、gyt95、zhuoqinyue、K3v123、Zuoxun、mingXta、hello-ikun、FangYuan33、GN-Yu、yuelinxin、longsizhuo、Cathay-Chen、guowei-gong、xBLACKICEx、IsChristina、JoseHung、qualifier1024、QiLOL、pengchzn、Guanngxu、L-Super、WSL0809、Slone123c、lhxsm、yuan0221、what-is-me、theNefelibatas、longranger2、cy-by-side、xiongsp、JeffersonHuang、Transmigration-zhou、magentaqin、Wonderdch、malone6、xiaomiusa87、gaofer、bluebean-cloud、a16su、Shyam-Chen、nanlei、hongyun-robot、Phoenix0415、MolDuM、Nigh、he-weilai、junminhong、mgisr、iron-irax、yd-j、XiaChuerwu、XC-Zero、seven1240、SamJin98、wodray、reeswell、NI-SW、Horbin-Magician、Enlightenus、xjr7670、YangXuanyi、DullSword、boloboloda、iStig、qq909244296、jiaxianhua、wenjianmin、keshida、kilikilikid、lclc6、lwbaptx、liuxjerry、lucaswangdev、lyl625760、hts0000、gledfish、fbigm、echo1937、szu17dmy、dshlstarr、Yucao-cy、coderlef、czruby、bongbongbakudan、beintentional、ZongYangL、ZhongYuuu、luluxia、xb534、bitsmi、ElaBosak233、baagod、zhouLion、yishangzhang、yi427、yabo083、weibk、wangwang105、th1nk3r-ing、tao363、4yDX3906、syd168、steventimes、sslmj2020、smilelsb、siqyka、selear、sdshaoda、Xi-Row、popozhu、nuquist19、noobcodemaker、XiaoK29、chadyi、ZhongGuanbin、shanghai-Jerry、JackYang-hellobobo、Javesun99、lipusheng、BlindTerran、ShiMaRing、FreddieLi、FloranceYeh、iFleey、fanchenggang、gltianwen、goerll、Dr-XYZ、nedchu、curly210102、CuB3y0nd、KraHsu、CarrotDLaw、youshaoXG、bubble9um、fanenr、eagleanurag、LifeGoesOnionOnionOnion、52coder、foursevenlove、KorsChen、hezhizhen、linzeyan、ZJKung、GaochaoZhu、hopkings2008、yang-le、Evilrabbit520、Turing-1024-Lee、thomasq0、Suremotoo、Allen-Scai、Risuntsy、Richard-Zhang1019、qingpeng9802、primexiao、nidhoggfgg、1ch0、MwumLi、martinx、ZnYang2018、hugtyftg、logan-qiu、psychelzh、Keynman、KeiichiKasai、0130w 。</p>
<p>本書的程式碼審閱工作由 coderonion、curtishd、Gonglja、gvenusleo、hpstory、justin-tse、khoaxuantu、krahets、night-cruise、nuomi1、Reanon 和 rongyi 完成（按照首字母順序排列）。感謝他們付出的時間與精力，正是他們確保了各語言程式碼的規範與統一。</p>
<p>在本書的創作過程中，我得到了許多人的幫助。</p>
<ul>
<li>感謝我在公司的導師李汐博士，在一次暢談中你鼓勵我“快行動起來”，堅定了我寫這本書的決心；</li>
zh-hant/chapter_stack_and_queue/deque/index.html
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<a id="__codelineno-38-102" name="__codelineno-38-102" href="#__codelineno-38-102"></a><span class="w"> </span><span class="n">deque</span><span class="o">-&gt;</span><span class="n">queSize</span><span class="o">--</span><span class="p">;</span>
<a id="__codelineno-38-103" name="__codelineno-38-103" href="#__codelineno-38-103"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
<a id="__codelineno-38-104" name="__codelineno-38-104" href="#__codelineno-38-104"></a><span class="p">}</span>
<a id="__codelineno-38-105" name="__codelineno-38-105" href="#__codelineno-38-105"></a>
<a id="__codelineno-38-106" name="__codelineno-38-106" href="#__codelineno-38-106"></a><span class="cm">/* 返回陣列用於列印 */</span>
<a id="__codelineno-38-107" name="__codelineno-38-107" href="#__codelineno-38-107"></a><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="nf">toArray</span><span class="p">(</span><span class="n">ArrayDeque</span><span class="w"> </span><span class="o">*</span><span class="n">deque</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="n">queSize</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-38-108" name="__codelineno-38-108" href="#__codelineno-38-108"></a><span class="w"> </span><span class="o">*</span><span class="n">queSize</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">deque</span><span class="o">-&gt;</span><span class="n">queSize</span><span class="p">;</span>
<a id="__codelineno-38-109" name="__codelineno-38-109" href="#__codelineno-38-109"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="n">res</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="n">calloc</span><span class="p">(</span><span class="n">deque</span><span class="o">-&gt;</span><span class="n">queSize</span><span class="p">,</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">int</span><span class="p">));</span>
<a id="__codelineno-38-110" name="__codelineno-38-110" href="#__codelineno-38-110"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">deque</span><span class="o">-&gt;</span><span class="n">front</span><span class="p">;</span>
<a id="__codelineno-38-111" name="__codelineno-38-111" href="#__codelineno-38-111"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">deque</span><span class="o">-&gt;</span><span class="n">queSize</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-38-112" name="__codelineno-38-112" href="#__codelineno-38-112"></a><span class="w"> </span><span class="n">res</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="n">deque</span><span class="o">-&gt;</span><span class="n">nums</span><span class="p">[</span><span class="n">j</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="n">deque</span><span class="o">-&gt;</span><span class="n">queCapacity</span><span class="p">];</span>
<a id="__codelineno-38-113" name="__codelineno-38-113" href="#__codelineno-38-113"></a><span class="w"> </span><span class="n">j</span><span class="o">++</span><span class="p">;</span>
<a id="__codelineno-38-114" name="__codelineno-38-114" href="#__codelineno-38-114"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-38-115" name="__codelineno-38-115" href="#__codelineno-38-115"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">res</span><span class="p">;</span>
<a id="__codelineno-38-116" name="__codelineno-38-116" href="#__codelineno-38-116"></a><span class="p">}</span>
</code></pre></div>
</div>
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zh-hant/chapter_stack_and_queue/queue/index.html
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<a id="__codelineno-38-65" name="__codelineno-38-65" href="#__codelineno-38-65"></a><span class="w"> </span><span class="n">queue</span><span class="o">-&gt;</span><span class="n">queSize</span><span class="o">--</span><span class="p">;</span>
<a id="__codelineno-38-66" name="__codelineno-38-66" href="#__codelineno-38-66"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
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<a id="__codelineno-38-68" name="__codelineno-38-68" href="#__codelineno-38-68"></a>
<a id="__codelineno-38-69" name="__codelineno-38-69" href="#__codelineno-38-69"></a><span class="cm">/* 返回陣列用於列印 */</span>
<a id="__codelineno-38-70" name="__codelineno-38-70" href="#__codelineno-38-70"></a><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="nf">toArray</span><span class="p">(</span><span class="n">ArrayQueue</span><span class="w"> </span><span class="o">*</span><span class="n">queue</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="n">queSize</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-38-71" name="__codelineno-38-71" href="#__codelineno-38-71"></a><span class="w"> </span><span class="o">*</span><span class="n">queSize</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">queue</span><span class="o">-&gt;</span><span class="n">queSize</span><span class="p">;</span>
<a id="__codelineno-38-72" name="__codelineno-38-72" href="#__codelineno-38-72"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="n">res</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="n">calloc</span><span class="p">(</span><span class="n">queue</span><span class="o">-&gt;</span><span class="n">queSize</span><span class="p">,</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">int</span><span class="p">));</span>
<a id="__codelineno-38-73" name="__codelineno-38-73" href="#__codelineno-38-73"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">queue</span><span class="o">-&gt;</span><span class="n">front</span><span class="p">;</span>
<a id="__codelineno-38-74" name="__codelineno-38-74" href="#__codelineno-38-74"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">queue</span><span class="o">-&gt;</span><span class="n">queSize</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-38-75" name="__codelineno-38-75" href="#__codelineno-38-75"></a><span class="w"> </span><span class="n">res</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="n">queue</span><span class="o">-&gt;</span><span class="n">nums</span><span class="p">[</span><span class="n">j</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="n">queue</span><span class="o">-&gt;</span><span class="n">queCapacity</span><span class="p">];</span>
<a id="__codelineno-38-76" name="__codelineno-38-76" href="#__codelineno-38-76"></a><span class="w"> </span><span class="n">j</span><span class="o">++</span><span class="p">;</span>
<a id="__codelineno-38-77" name="__codelineno-38-77" href="#__codelineno-38-77"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-38-78" name="__codelineno-38-78" href="#__codelineno-38-78"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">res</span><span class="p">;</span>
<a id="__codelineno-38-79" name="__codelineno-38-79" href="#__codelineno-38-79"></a><span class="p">}</span>
</code></pre></div>
</div>
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</h3>
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codingonion
coderonion
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