https://blog.yunwuhai.com/tags/%E7%99%BE%E9%92%B1%E4%B9%B0%E7%99%BE%E9%B8%A1/Recent content in 百钱买百鸡 on 云雾海的博客Hugo -- gohugo.iozh-cnSun, 02 Nov 2025 16:31:42 +0800https://blog.yunwuhai.com/posts/%E7%AE%97%E6%B3%95/%E9%A2%98%E7%9B%AE/%E7%99%BE%E9%92%B1%E4%B9%B0%E7%99%BE%E9%B8%A1/Sun, 02 Nov 2025 16:31:42 +0800https://blog.yunwuhai.com/posts/%E7%AE%97%E6%B3%95/%E9%A2%98%E7%9B%AE/%E7%99%BE%E9%92%B1%E4%B9%B0%E7%99%BE%E9%B8%A1/<img src="https://blog.yunwuhai.com/posts/%E7%AE%97%E6%B3%95/%E9%A2%98%E7%9B%AE/%E7%99%BE%E9%92%B1%E4%B9%B0%E7%99%BE%E9%B8%A1/cover.jpg" alt="Featured image of post 百钱买百鸡" /><h1 id="百钱买百鸡"><a href="#%e7%99%be%e9%92%b1%e4%b9%b0%e7%99%be%e9%b8%a1" class="header-anchor"></a>百钱买百鸡 </h1><h2 id="问题"><a href="#%e9%97%ae%e9%a2%98" class="header-anchor"></a>问题 </h2><p>鸡翁一，值钱五；鸡母一，值钱三；鸡雏三，值钱一；<strong>百钱买百鸡</strong>，则翁、母、雏各几何？</p> <h2 id="程序"><a href="#%e7%a8%8b%e5%ba%8f" class="header-anchor"></a>程序 </h2><div class="highlight"><pre tabindex="0" class="chroma"><code class="language-python" data-lang="python"><span class="line"><span class="cl"><span class="c1"># 公鸡5文钱一只，母鸡3文钱一只，小鸡1文钱三只。用100文钱买100只鸡，问公鸡、母鸡、小鸡各多少只？</span> </span></span><span class="line"><span class="cl"> </span></span><span class="line"><span class="cl"><span class="c1"># 穷举法：遍历所有可能的公鸡、母鸡、小鸡数量，判断是否满足条件</span> </span></span><span class="line"><span class="cl"><span class="k">for</span> <span class="n">cock</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">21</span><span class="p">):</span> <span class="c1"># 公鸡从0到20只</span> </span></span><span class="line"><span class="cl"> <span class="k">for</span> <span class="n">hen</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">34</span><span class="p">):</span> <span class="c1"># 母鸡从0到33只</span> </span></span><span class="line"><span class="cl"> <span class="n">chick</span> <span class="o">=</span> <span class="mi">100</span> <span class="o">-</span> <span class="n">cock</span> <span class="o">-</span> <span class="n">hen</span> <span class="c1"># 小鸡数量</span> </span></span><span class="line"><span class="cl"> <span class="k">if</span> <span class="n">chick</span> <span class="o">%</span> <span class="mi">3</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">and</span> <span class="n">cock</span> <span class="o">*</span> <span class="mi">5</span> <span class="o">+</span> <span class="n">hen</span> <span class="o">*</span> <span class="mi">3</span> <span class="o">+</span> <span class="n">chick</span> <span class="o">//</span> <span class="mi">3</span> <span class="o">==</span> <span class="mi">100</span><span class="p">:</span> </span></span><span class="line"><span class="cl"> <span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">&#34;公鸡：</span><span class="si">{</span><span class="n">cock</span><span class="si">}</span><span class="s2">只，母鸡：</span><span class="si">{</span><span class="n">hen</span><span class="si">}</span><span class="s2">只，小鸡：</span><span class="si">{</span><span class="n">chick</span><span class="si">}</span><span class="s2">只&#34;</span><span class="p">)</span> </span></span></code></pre></div><h2 id="思想"><a href="#%e6%80%9d%e6%83%b3" class="header-anchor"></a>思想 </h2><p>穷举所有可能，记录所有可能的情况。</p> <h2 id="执行效果"><a href="#%e6%89%a7%e8%a1%8c%e6%95%88%e6%9e%9c" class="header-anchor"></a>执行效果 </h2><img alt="image-20251102163702432" class="gallery-image" data-flex-basis="893px" data-flex-grow="372" height="137" loading="lazy" sizes="(max-width: 767px) calc(100vw - 30px), (max-width: 1023px) 700px, (max-width: 1279px) 950px, 1232px" src="https://blog.yunwuhai.com/posts/%E7%AE%97%E6%B3%95/%E9%A2%98%E7%9B%AE/%E7%99%BE%E9%92%B1%E4%B9%B0%E7%99%BE%E9%B8%A1/img/image-20251102163702432.webp" width="510">