{"id":7493,"date":"2025-11-18T16:39:54","date_gmt":"2025-11-18T08:39:54","guid":{"rendered":"https:\/\/www.xinyixx.com\/?p=7493"},"modified":"2025-11-18T16:39:54","modified_gmt":"2025-11-18T08:39:54","slug":"book-7","status":"publish","type":"post","link":"https:\/\/www.xinyixx.com\/index.php\/2025\/11\/18\/book-7\/","title":{"rendered":"\u4e00\u6587\u8bfb\u61c2\u300a\u4ee3\u7801\u4e4b\u7f8e\u300b"},"content":{"rendered":"<h1>\u4ee3\u7801\u7684\u7075\u9b42:\u4e09\u5341\u516b\u4f4d\u5927\u5e08\u7684\u7f16\u7a0b\u54f2\u5b66<\/h1>\n<h2>\u5f00\u7bc7:\u4ee3\u7801\u4e5f\u6709\u7f8e\u5b66\u5417?<\/h2>\n<p>\u5728\u5927\u591a\u6570\u4eba\u773c\u4e2d,\u4ee3\u7801\u662f\u51b0\u51b7\u7684,\u662f\u75310\u548c1\u7ec4\u6210\u7684\u673a\u5668\u8bed\u8a00,\u662f\u53ea\u6709\u7a0b\u5e8f\u5458\u624d\u80fd\u7406\u89e3\u7684\u5929\u4e66\u3002<\/p>\n<p>\u4f46\u300a\u4ee3\u7801\u4e4b\u7f8e\u300b\u8fd9\u672c\u4e66\u544a\u8bc9\u6211\u4eec:\u4ee3\u7801\u53ef\u4ee5\u50cf\u8bd7\u6b4c\u4e00\u6837\u4f18\u96c5,\u53ef\u4ee5\u50cf\u97f3\u4e50\u4e00\u6837\u548c\u8c10,\u53ef\u4ee5\u50cf\u5efa\u7b51\u4e00\u6837\u7cbe\u5de7\u3002<\/p>\n<p>\u8fd9\u672c\u4e66\u96c6\u7ed3\u4e86\u4e09\u5341\u516b\u4f4d\u4e16\u754c\u9876\u7ea7\u7a0b\u5e8f\u5458,\u6bcf\u4e2a\u4eba\u5206\u4eab\u4e00\u6bb5\u4ed6\u4eec\u8ba4\u4e3a&quot;\u7f8e&quot;\u7684\u4ee3\u7801\u3002\u8fd9\u4e9b\u4eba\u4e2d\u6709Unix\u7684\u521b\u9020\u8005\u3001Python\u4e4b\u7236\u3001Perl\u7684\u53d1\u660e\u8005\u3001\u5f00\u6e90\u8fd0\u52a8\u7684\u9886\u8896\u3001\u4eba\u5de5\u667a\u80fd\u7684\u5148\u9a71\u3002<\/p>\n<p>\u4ed6\u4eec\u5199\u7684\u4e0d\u662f\u6559\u79d1\u4e66,\u800c\u662f\u60c5\u4e66\u2014\u2014\u5199\u7ed9\u4ee3\u7801,\u5199\u7ed9\u7f16\u7a0b,\u5199\u7ed9\u90a3\u4e9b\u8ba9\u4ed6\u4eec\u591c\u4e0d\u80fd\u5bd0\u7684\u4f18\u96c5\u89e3\u51b3\u65b9\u6848\u3002<\/p>\n<p>\u8bfb\u5b8c\u8fd9\u672c\u4e66,\u4f60\u4f1a\u53d1\u73b0:\u7f16\u7a0b\u4e0d\u53ea\u662f\u6280\u80fd,\u66f4\u662f\u827a\u672f;\u4ee3\u7801\u4e0d\u53ea\u662f\u5de5\u5177,\u66f4\u662f\u601d\u60f3\u7684\u7ed3\u6676\u3002<\/p>\n<p>\u4eca\u5929,\u8ba9\u6211\u4eec\u8ddf\u968f\u8fd9\u4e9b\u5927\u5e08\u7684\u811a\u6b65,\u63a2\u7d22\u4ee3\u7801\u7684\u7f8e\u5b66\u4e16\u754c,\u770b\u770b\u90a3\u4e9b\u6539\u53d8\u4e16\u754c\u7684\u7a0b\u5e8f\u80cc\u540e,\u85cf\u7740\u600e\u6837\u7684\u667a\u6167\u548c\u54f2\u5b66\u3002<\/p>\n<h2>\u7b2c\u4e00\u7ae0:\u7b80\u6d01\u4e4b\u7f8e\u2014\u2014\u7528\u6700\u5c11\u7684\u4ee3\u7801\u505a\u6700\u591a\u7684\u4e8b<\/h2>\n<h3>\u6b63\u5219\u8868\u8fbe\u5f0f:\u8bed\u8a00\u7684\u9b54\u6cd5<\/h3>\n<p>Brian 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van Rossum\u8bbe\u8ba1Python\u8bed\u8a00\u65f6,\u9075\u5faa\u7684\u6838\u5fc3\u539f\u5219\u5c31\u662f:\u7b80\u6d01\u4f18\u7f8e\u3002<\/p>\n<p>\u4e66\u4e2d\u8ba8\u8bba\u4e86Python\u7684\u54f2\u5b66\u2014\u2014&quot;Python\u4e4b\u7985&quot;\u3002\u5176\u4e2d\u6700\u8457\u540d\u7684\u4e00\u53e5\u662f:&quot;\u7b80\u5355\u80dc\u4e8e\u590d\u6742,\u590d\u6742\u80dc\u4e8e\u6666\u6da9\u3002&quot;<\/p>\n<p>\u4ec0\u4e48\u610f\u601d?\u7b80\u5355\u7684\u4ee3\u7801\u5f53\u7136\u6700\u597d,\u4f46\u5982\u679c\u95ee\u9898\u672c\u8eab\u5f88\u590d\u6742,\u90a3\u5c31\u7528\u6e05\u6670\u7684\u590d\u6742\u4ee3\u7801,\u800c\u4e0d\u662f\u90a3\u79cd\u770b\u4e0d\u61c2\u7684&quot;\u806a\u660e&quot;\u4ee3\u7801\u3002<\/p>\n<p>\u8fd9\u4e2a\u539f\u5219\u5728\u5b9e\u8df5\u4e2d\u610f\u5473\u7740:<\/p>\n<p>\u4e00\u4e2a\u521d\u5b66\u8005\u5e94\u8be5\u80fd\u8bfb\u61c2\u4f60\u7684\u4ee3\u7801\u3002\u5982\u679c\u4e00\u6bb5\u4ee3\u7801\u9700\u8981\u8d44\u6df1\u4e13\u5bb6\u624d\u80fd\u7406\u89e3,\u90a3\u5b83\u5c31\u4e0d\u591f&quot;\u7f8e&quot;\u3002<\/p>\n<p>\u4e00\u6bb5\u4ee3\u7801\u5e94\u8be5\u50cf\u8bf4\u8bdd\u4e00\u6837\u81ea\u7136\u3002Python\u7684\u7406\u5ff5\u662f&quot;\u53ef\u6267\u884c\u7684\u4f2a\u4ee3\u7801&quot;\u2014\u2014\u4ee3\u7801\u5e94\u8be5\u8bfb\u8d77\u6765\u50cf\u82f1\u8bed\u53e5\u5b50\u3002<\/p>\n<p>\u4f18\u7f8e\u7684\u4ee3\u7801\u4e0d\u9700\u8981\u6ce8\u91ca\u3002\u5982\u679c\u4ee3\u7801\u672c\u8eab\u5c31\u6e05\u6670\u8868\u8fbe\u4e86\u610f\u56fe,\u6ce8\u91ca\u5c31\u662f\u591a\u4f59\u7684\u3002<\/p>\n<p>\u8fd9\u79cd\u5bf9\u7b80\u6d01\u7684\u8ffd\u6c42,\u4e0d\u4ec5\u8ba9Python\u6210\u4e3a\u6700\u53d7\u6b22\u8fce\u7684\u7f16\u7a0b\u8bed\u8a00\u4e4b\u4e00,\u4e5f\u5f71\u54cd\u4e86\u6574\u4e2a\u7f16\u7a0b\u6587\u5316\u3002<\/p>\n<h3>Unix\u54f2\u5b66:\u505a\u597d\u4e00\u4ef6\u4e8b<\/h3>\n<p>\u4e66\u4e2d\u591a\u6b21\u63d0\u5230Unix\u7684\u8bbe\u8ba1\u54f2\u5b66:\u6bcf\u4e2a\u7a0b\u5e8f\u53ea\u505a\u4e00\u4ef6\u4e8b,\u5e76\u628a\u8fd9\u4ef6\u4e8b\u505a\u5230\u6781\u81f4\u3002<\/p>\n<p>\u8fd9\u542c\u8d77\u6765\u5f88\u9650\u5236,\u4f46\u5b9e\u9645\u4e0a\u5374\u91ca\u653e\u4e86\u5de8\u5927\u7684\u521b\u9020\u529b\u3002<\/p>\n<p>\u56e0\u4e3a\u5f53\u6bcf\u4e2a\u5de5\u5177\u90fd\u4e13\u6ce8\u4e8e\u4e00\u4e2a\u529f\u80fd\u65f6,\u5b83\u4eec\u53ef\u4ee5\u88ab\u7075\u6d3b\u7ec4\u5408\u3002\u5c31\u50cf\u4e50\u9ad8\u79ef\u6728,\u6bcf\u5757\u7816\u90fd\u5f88\u7b80\u5355,\u4f46\u53ef\u4ee5\u62fc\u51fa\u65e0\u9650\u53ef\u80fd\u3002<\/p>\n<p>\u4e66\u4e2d\u4e3e\u4e86\u4e00\u4e2a\u4f8b\u5b50:\u7edf\u8ba1\u6587\u4ef6\u4e2d\u5355\u8bcd\u7684\u9891\u7387\u3002<\/p>\n<p>\u5728Windows\u4e0a,\u4f60\u53ef\u80fd\u9700\u8981\u4e00\u4e2a\u4e13\u95e8\u7684\u8f6f\u4ef6\u3002\u4f46\u5728Unix\u4e0a,\u53ea\u9700\u8981\u4e00\u884c\u547d\u4ee4:<\/p>\n<pre><code>cat file | tr -cs A-Za-z 'n' | sort | uniq -c | sort -rn<\/code><\/pre>\n<p>\u8fd9\u884c\u547d\u4ee4\u7ec4\u5408\u4e86\u4e94\u4e2a\u7b80\u5355\u7684\u5de5\u5177:cat\u8bfb\u53d6\u6587\u4ef6,tr\u5207\u5206\u5355\u8bcd,sort\u6392\u5e8f,uniq\u7edf\u8ba1,\u518dsort\u6309\u9891\u7387\u6392\u5e8f\u3002\u6bcf\u4e2a\u5de5\u5177\u90fd\u5f88\u5c0f,\u90fd\u53ea\u505a\u4e00\u4ef6\u4e8b,\u4f46\u7ec4\u5408\u8d77\u6765\u5c31\u80fd\u89e3\u51b3\u590d\u6742\u95ee\u9898\u3002<\/p>\n<p>\u8fd9\u5c31\u662f\u7b80\u6d01\u7684\u529b\u91cf:\u4e0d\u662f\u8ba9\u5355\u4e2a\u5de5\u5177\u53d8\u5f97\u590d\u6742,\u800c\u662f\u8ba9\u7b80\u5355\u7684\u5de5\u5177\u53ef\u4ee5\u7ec4\u5408\u3002<\/p>\n<h2>\u7b2c\u4e8c\u7ae0:\u62bd\u8c61\u4e4b\u7f8e\u2014\u2014\u9690\u85cf\u590d\u6742,\u66b4\u9732\u7b80\u6d01<\/h2>\n<h3>\u5206\u5c42\u67b6\u6784:\u590d\u6742\u7cfb\u7edf\u7684\u79d8\u5bc6<\/h3>\n<p>Jon Bentley\u5728\u4e66\u4e2d\u8ba8\u8bba\u4e86\u5206\u5c42\u62bd\u8c61\u2014\u2014\u8ba1\u7b97\u673a\u79d1\u5b66\u6700\u91cd\u8981\u7684\u601d\u60f3\u4e4b\u4e00\u3002<\/p>\n<p>\u4ece\u6676\u4f53\u7ba1\u5230\u903b\u8f91\u95e8,\u4ece\u903b\u8f91\u95e8\u5230CPU,\u4eceCPU\u5230\u64cd\u4f5c\u7cfb\u7edf,\u4ece\u64cd\u4f5c\u7cfb\u7edf\u5230\u5e94\u7528\u7a0b\u5e8f,\u4ece\u5e94\u7528\u7a0b\u5e8f\u5230\u7528\u6237\u754c\u9762\u2014\u2014\u6bcf\u4e00\u5c42\u90fd\u9690\u85cf\u4e86\u4e0b\u4e00\u5c42\u7684\u590d\u6742\u6027,\u66b4\u9732\u4e86\u7b80\u6d01\u7684\u63a5\u53e3\u3002<\/p>\n<p>\u8fd9\u8ba9\u6211\u4eec\u80fd\u591f\u7ad9\u5728\u5de8\u4eba\u7684\u80a9\u8180\u4e0a\u3002\u4f60\u4e0d\u9700\u8981\u7406\u89e3\u7535\u5b50\u5b66,\u5c31\u80fd\u7f16\u5199\u8f6f\u4ef6;\u4e0d\u9700\u8981\u7406\u89e3\u64cd\u4f5c\u7cfb\u7edf,\u5c31\u80fd\u5f00\u53d1\u5e94\u7528;\u4e0d\u9700\u8981\u7406\u89e3\u7f51\u7edc\u534f\u8bae,\u5c31\u80fd\u5efa\u8bbe\u7f51\u7ad9\u3002<\/p>\n<p>\u7f8e\u5728\u54ea\u91cc?\u7f8e\u5728\u4e8e\u8fd9\u79cd\u9690\u85cf\u7684\u827a\u672f\u3002<\/p>\n<p>\u597d\u7684\u62bd\u8c61,\u8ba9\u590d\u6742\u7684\u4e8b\u60c5\u53d8\u7b80\u5355\u3002\u5dee\u7684\u62bd\u8c61,\u8ba9\u7b80\u5355\u7684\u4e8b\u60c5\u53d8\u590d\u6742\u3002<\/p>\n<p>\u4e66\u4e2d\u4e3e\u4e86\u4e00\u4e2a\u53cd\u4f8b:\u67d0\u4e9b\u7f16\u7a0b\u8bed\u8a00\u7684API\u8bbe\u8ba1\u5f97\u5f88\u7cdf\u7cd5,\u4f60\u9700\u8981\u5199\u4e8c\u5341\u884c\u4ee3\u7801\u624d\u80fd\u6253\u5f00\u4e00\u4e2a\u6587\u4ef6\u3002\u8fd9\u5c31\u662f\u5931\u8d25\u7684\u62bd\u8c61\u2014\u2014\u5b83\u6ca1\u6709\u9690\u85cf\u590d\u6742\u6027,\u53cd\u800c\u589e\u52a0\u4e86\u590d\u6742\u6027\u3002<\/p>\n<p>\u800c\u597d\u7684\u62bd\u8c61,\u50cfPython\u7684<code>with open('file.txt') as f:<\/code>,\u4e00\u884c\u4ee3\u7801,\u610f\u56fe\u6e05\u6670,\u81ea\u52a8\u5904\u7406\u9519\u8bef\u548c\u8d44\u6e90\u91ca\u653e\u3002<\/p>\n<h3>\u63a5\u53e3\u8bbe\u8ba1:API\u662f\u5408\u540c<\/h3>\n<p>\u4e66\u4e2d\u591a\u4f4d\u4f5c\u8005\u90fd\u5f3a\u8c03:API\u8bbe\u8ba1\u662f\u7f16\u7a0b\u4e2d\u6700\u96be\u4e5f\u6700\u91cd\u8981\u7684\u5de5\u4f5c\u3002<\/p>\n<p>\u56e0\u4e3aAPI\u662f\u7a0b\u5e8f\u4e4b\u95f4\u7684\u5408\u540c\u3002\u4e00\u65e6\u53d1\u5e03,\u5c31\u6709\u6210\u5343\u4e0a\u4e07\u7684\u4eba\u4f9d\u8d56\u5b83\u3002\u6539\u52a8\u5b83,\u5c31\u4f1a\u7834\u574f\u522b\u4eba\u7684\u4ee3\u7801\u3002<\/p>\n<p>\u6240\u4ee5\u597d\u7684API\u5fc5\u987b:<\/p>\n<p><strong>\u76f4\u89c2<\/strong>:\u7528\u6237\u4e0d\u770b\u6587\u6863\u5c31\u80fd\u731c\u5230\u600e\u4e48\u7528\u3002<\/p>\n<p><strong>\u4e00\u81f4<\/strong>:\u76f8\u4f3c\u7684\u529f\u80fd\u5e94\u8be5\u7528\u76f8\u4f3c\u7684\u65b9\u5f0f\u3002<\/p>\n<p><strong>\u7b80\u5355<\/strong>:\u5e38\u89c1\u7684\u4efb\u52a1\u5e94\u8be5\u7b80\u5355,\u590d\u6742\u7684\u4efb\u52a1\u5e94\u8be5\u53ef\u80fd\u3002<\/p>\n<p><strong>\u7a33\u5b9a<\/strong>:\u4e00\u65e6\u53d1\u5e03,\u5c3d\u91cf\u4e0d\u6539\u52a8\u3002<\/p>\n<p>\u4e66\u4e2d\u4e3e\u4e86UNIX\u7cfb\u7edf\u8c03\u7528\u7684\u4f8b\u5b50\u3002<code>open()<\/code>, <code>read()<\/code>, <code>write()<\/code>, <code>close()<\/code>,\u8fd9\u51e0\u4e2a\u51fd\u6570\u8bbe\u8ba1\u4e8e1970\u5e74\u4ee3,\u81f3\u4eca\u4ecd\u5728\u4f7f\u7528,\u56e0\u4e3a\u5b83\u4eec\u8bbe\u8ba1\u5f97\u592a\u597d\u4e86\u2014\u2014\u7b80\u5355\u3001\u4e00\u81f4\u3001\u5f3a\u5927\u3002<\/p>\n<p>\u8fd9\u5c31\u662f\u62bd\u8c61\u7684\u7f8e:\u4e94\u5341\u5e74\u524d\u7684\u8bbe\u8ba1,\u4eca\u5929\u4f9d\u7136\u4f18\u96c5\u3002<\/p>\n<h3>\u8bbe\u8ba1\u6a21\u5f0f:\u7ecf\u9a8c\u7684\u7ed3\u6676<\/h3>\n<p>Erich Gamma,\u300a\u8bbe\u8ba1\u6a21\u5f0f\u300b\u7684\u4f5c\u8005\u4e4b\u4e00,\u5728\u4e66\u4e2d\u8ba8\u8bba\u4e86\u8bbe\u8ba1\u6a21\u5f0f\u7684\u54f2\u5b66\u3002<\/p>\n<p>\u8bbe\u8ba1\u6a21\u5f0f\u4e0d\u662f\u4ee3\u7801\u6a21\u677f,\u800c\u662f\u89e3\u51b3\u95ee\u9898\u7684\u601d\u8def\u3002\u5b83\u4eec\u662f\u524d\u4eba\u603b\u7ed3\u7684\u7ecf\u9a8c\u2014\u2014\u5728\u4ec0\u4e48\u60c5\u51b5\u4e0b,\u7528\u4ec0\u4e48\u6837\u7684\u7ed3\u6784,\u53ef\u4ee5\u4f18\u96c5\u5730\u89e3\u51b3\u95ee\u9898\u3002<\/p>\n<p>\u6bd4\u5982&quot;\u89c2\u5bdf\u8005\u6a21\u5f0f&quot;,\u7528\u6765\u5904\u7406\u4e00\u5bf9\u591a\u7684\u4f9d\u8d56\u5173\u7cfb\u3002\u5f53\u4e00\u4e2a\u5bf9\u8c61\u72b6\u6001\u6539\u53d8\u65f6,\u6240\u6709\u4f9d\u8d56\u5b83\u7684\u5bf9\u8c61\u90fd\u80fd\u81ea\u52a8\u6536\u5230\u901a\u77e5\u3002<\/p>\n<p>\u8fd9\u4e2a\u6a21\u5f0f\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u754c\u9762\u7f16\u7a0b\u3001\u6d88\u606f\u7cfb\u7edf\u3001\u4e8b\u4ef6\u5904\u7406\u7b49\u573a\u666f\u3002\u5b83\u7684\u7f8e\u5728\u4e8e:\u628a\u590d\u6742\u7684\u4f9d\u8d56\u5173\u7cfb,\u7528\u7b80\u6d01\u7684\u7ed3\u6784\u8868\u8fbe\u51fa\u6765\u3002<\/p>\n<p>\u4f46Gamma\u4e5f\u8b66\u544a:\u4e0d\u8981\u6ee5\u7528\u6a21\u5f0f\u3002\u6709\u4e9b\u7a0b\u5e8f\u5458\u628a\u8bbe\u8ba1\u6a21\u5f0f\u5f53\u6210\u70ab\u6280\u7684\u5de5\u5177,\u5728\u4e0d\u9700\u8981\u7684\u5730\u65b9\u786c\u5957\u6a21\u5f0f,\u7ed3\u679c\u8ba9\u4ee3\u7801\u53d8\u5f97\u66f4\u590d\u6742\u3002<\/p>\n<p>\u771f\u6b63\u7684\u7f8e,\u662f\u6070\u5230\u597d\u5904\u7684\u62bd\u8c61\u2014\u2014\u4e0d\u591a\u4e0d\u5c11,\u521a\u521a\u597d\u3002<\/p>\n<h2>\u7b2c\u4e09\u7ae0:\u7b97\u6cd5\u4e4b\u7f8e\u2014\u2014\u4f18\u96c5\u7684\u66b4\u529b<\/h2>\n<h3>\u4e8c\u5206\u67e5\u627e:\u7b80\u5355\u800c\u6df1\u523b<\/h3>\n<p>Jon Bentley\u5728\u4e66\u4e2d\u8ba8\u8bba\u4e86\u4e8c\u5206\u67e5\u627e\u2014\u2014\u4e00\u4e2a\u770b\u4f3c\u7b80\u5355,\u5b9e\u5219\u6df1\u523b\u7684\u7b97\u6cd5\u3002<\/p>\n<p>\u5728\u6709\u5e8f\u6570\u7ec4\u4e2d\u67e5\u627e\u4e00\u4e2a\u5143\u7d20,\u6700\u76f4\u63a5\u7684\u65b9\u6cd5\u662f\u4ece\u5934\u5230\u5c3e\u904d\u5386,\u9700\u8981n\u6b21\u6bd4\u8f83\u3002\u4f46\u4e8c\u5206\u67e5\u627e\u53ea\u9700\u8981log(n)\u6b21\u3002<\/p>\n<p>\u5f53n\u662f\u4e00\u767e\u4e07\u65f6,\u904d\u5386\u9700\u8981\u4e00\u767e\u4e07\u6b21,\u4e8c\u5206\u67e5\u627e\u53ea\u9700\u8981\u4e8c\u5341\u6b21\u3002\u8fd9\u662f\u6307\u6570\u7ea7\u7684\u5dee\u5f02\u3002<\/p>\n<p>\u7b97\u6cd5\u7684\u601d\u60f3\u5f88\u7b80\u5355:\u6bcf\u6b21\u6bd4\u8f83\u4e2d\u95f4\u7684\u5143\u7d20,\u5982\u679c\u76ee\u6807\u6bd4\u5b83\u5c0f,\u5c31\u5728\u5de6\u534a\u8fb9\u627e;\u5982\u679c\u5927,\u5c31\u5728\u53f3\u534a\u8fb9\u627e\u3002\u6bcf\u6b21\u90fd\u628a\u95ee\u9898\u89c4\u6a21\u51cf\u534a\u3002<\/p>\n<p>Bentley\u8bf4,\u8fd9\u4e2a\u7b97\u6cd5\u7684\u7f8e\u5728\u4e8e\u5b83\u7684\u7b80\u6d01\u6027\u548c\u5a01\u529b\u7684\u5bf9\u6bd4\u3002\u51e0\u884c\u4ee3\u7801,\u5374\u80fd\u5e26\u6765\u5de8\u5927\u7684\u6027\u80fd\u63d0\u5347\u3002<\/p>\n<p>\u4f46\u4ed6\u4e5f\u6307\u51fa,\u4e8c\u5206\u67e5\u627e\u867d\u7136\u7b80\u5355,\u5374\u5f88\u5bb9\u6613\u5199\u9519\u3002\u4e1a\u754c\u8c03\u67e5\u663e\u793a,90%\u7684\u7a0b\u5e8f\u5458\u7b2c\u4e00\u6b21\u5199\u4e8c\u5206\u67e5\u627e\u90fd\u4f1a\u6709bug\u3002<\/p>\n<p>\u8fd9\u63ed\u793a\u4e86\u4e00\u4e2a\u6df1\u523b\u7684\u9053\u7406:\u7b80\u5355\u4e0d\u7b49\u4e8e\u5bb9\u6613\u3002\u771f\u6b63\u7684\u7b80\u6d01,\u9700\u8981\u5bf9\u95ee\u9898\u7684\u6df1\u523b\u7406\u89e3\u548c\u7cbe\u786e\u7684\u601d\u8003\u3002<\/p>\n<h3>\u5feb\u901f\u6392\u5e8f:\u5206\u800c\u6cbb\u4e4b<\/h3>\n<p>Tony Hoare\u53d1\u660e\u7684\u5feb\u901f\u6392\u5e8f,\u88ab\u4e66\u4e2d\u591a\u4f4d\u4f5c\u8005\u63a8\u5d07\u4e3a&quot;\u6700\u7f8e\u7684\u7b97\u6cd5&quot;\u4e4b\u4e00\u3002<\/p>\n<p>\u5b83\u7684\u601d\u60f3\u5f88\u7b80\u5355:\u9009\u4e00\u4e2a\u5143\u7d20\u4f5c\u4e3a&quot;\u57fa\u51c6&quot;,\u628a\u6bd4\u5b83\u5c0f\u7684\u653e\u5de6\u8fb9,\u6bd4\u5b83\u5927\u7684\u653e\u53f3\u8fb9,\u7136\u540e\u9012\u5f52\u5730\u5bf9\u5de6\u53f3\u4e24\u8fb9\u6392\u5e8f\u3002<\/p>\n<p>\u8fd9\u4e2a\u7b97\u6cd5\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u662fO(n log n),\u4e0e\u5176\u4ed6\u9ad8\u6548\u6392\u5e8f\u7b97\u6cd5\u76f8\u5f53\u3002\u4f46\u5b83\u7684\u4ee3\u7801\u53ef\u4ee5\u975e\u5e38\u7b80\u6d01,\u9012\u5f52\u7248\u672c\u53ea\u9700\u8981\u51e0\u884c\u3002<\/p>\n<p>\u66f4\u91cd\u8981\u7684\u662f,\u5b83\u4f53\u73b0\u4e86&quot;\u5206\u800c\u6cbb\u4e4b&quot;\u7684\u601d\u60f3\u2014\u2014\u628a\u5927\u95ee\u9898\u5206\u89e3\u4e3a\u5c0f\u95ee\u9898,\u9012\u5f52\u89e3\u51b3\u3002\u8fd9\u4e2a\u601d\u60f3\u5728\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\u65e0\u5904\u4e0d\u5728\u3002<\/p>\n<p>\u4e66\u4e2d\u8ba8\u8bba\u4e86\u4e3a\u4ec0\u4e48\u5feb\u901f\u6392\u5e8f\u6bd4\u5176\u4ed6\u6392\u5e8f\u7b97\u6cd5\u66f4&quot;\u7f8e&quot;:<\/p>\n<p>\u5b83\u7684\u601d\u8def\u81ea\u7136,\u7b26\u5408\u4eba\u7c7b\u76f4\u89c9\u3002<\/p>\n<p>\u5b83\u7684\u4ee3\u7801\u7b80\u6d01,\u6613\u4e8e\u7406\u89e3\u548c\u5b9e\u73b0\u3002<\/p>\n<p>\u5b83\u7684\u6027\u80fd\u4f18\u79c0,\u5b9e\u8df5\u4e2d\u6700\u5feb\u3002<\/p>\n<p>\u5b83\u7684\u5e94\u7528\u5e7f\u6cdb,\u662f\u5927\u591a\u6570\u7f16\u7a0b\u8bed\u8a00\u6807\u51c6\u5e93\u7684\u9ed8\u8ba4\u6392\u5e8f\u7b97\u6cd5\u3002<\/p>\n<p>\u8fd9\u5c31\u662f\u7b97\u6cd5\u4e4b\u7f8e:\u7b80\u6d01\u3001\u5f3a\u5927\u3001\u4f18\u96c5\u3002<\/p>\n<h3>\u52a8\u6001\u89c4\u5212:\u8bb0\u5fc6\u7684\u667a\u6167<\/h3>\n<p>\u4e66\u4e2d\u8ba8\u8bba\u4e86\u52a8\u6001\u89c4\u5212\u2014\u2014\u4e00\u79cd\u770b\u4f3c\u590d\u6742,\u5b9e\u5219\u4f18\u96c5\u7684\u7b97\u6cd5\u601d\u60f3\u3002<\/p>\n<p>\u5f88\u591a\u95ee\u9898,\u66b4\u529b\u6c42\u89e3\u9700\u8981\u6307\u6570\u65f6\u95f4,\u4f46\u5982\u679c\u6211\u4eec&quot;\u8bb0\u4f4f&quot;\u4e2d\u95f4\u7ed3\u679c,\u907f\u514d\u91cd\u590d\u8ba1\u7b97,\u5c31\u80fd\u964d\u5230\u591a\u9879\u5f0f\u65f6\u95f4\u3002<\/p>\n<p>\u7ecf\u5178\u4f8b\u5b50\u662f\u6590\u6ce2\u90a3\u5951\u6570\u5217\u3002\u9012\u5f52\u8ba1\u7b97<code>fib(n) = fib(n-1) + fib(n-2)<\/code>\u4f1a\u5bfc\u81f4\u5927\u91cf\u91cd\u590d\u8ba1\u7b97\u3002\u4f46\u5982\u679c\u6211\u4eec\u7528\u4e00\u4e2a\u6570\u7ec4\u8bb0\u5f55\u5df2\u7ecf\u8ba1\u7b97\u8fc7\u7684\u503c,\u65f6\u95f4\u590d\u6742\u5ea6\u5c31\u4eceO(2^n)\u964d\u5230O(n)\u3002<\/p>\n<p>\u8fd9\u4e2a\u601d\u60f3\u9002\u7528\u4e8e\u5f88\u591a\u95ee\u9898:\u6700\u77ed\u8def\u5f84\u3001\u80cc\u5305\u95ee\u9898\u3001\u5b57\u7b26\u4e32\u5339\u914d\u3001\u5e8f\u5217\u6bd4\u5bf9\u7b49\u3002<\/p>\n<p>\u4e66\u4e2d\u4f5c\u8005\u8bf4,\u52a8\u6001\u89c4\u5212\u7684\u7f8e\u5728\u4e8e\u5b83\u7684\u53cd\u76f4\u89c9\u6027\u3002\u76f4\u89c9\u544a\u8bc9\u6211\u4eec,\u9012\u5f52\u662f\u81ea\u7136\u7684;\u4f46\u52a8\u6001\u89c4\u5212\u544a\u8bc9\u6211\u4eec,\u8bb0\u5fc6\u662f\u66f4\u9ad8\u6548\u7684\u3002<\/p>\n<p>\u5b83\u63ed\u793a\u4e86\u4e00\u4e2a\u6df1\u523b\u7684\u6743\u8861:\u7a7a\u95f4\u6362\u65f6\u95f4\u3002\u7528\u66f4\u591a\u7684\u5185\u5b58,\u6362\u53d6\u66f4\u5feb\u7684\u901f\u5ea6\u3002<\/p>\n<h2>\u7b2c\u56db\u7ae0:\u6b63\u786e\u6027\u4e4b\u7f8e\u2014\u2014\u7a0b\u5e8f\u662f\u6570\u5b66\u8bc1\u660e<\/h2>\n<h3>\u5f62\u5f0f\u5316\u9a8c\u8bc1:\u4ee3\u7801\u7684\u6570\u5b66<\/h3>\n<p>Leslie Lamport,\u5206\u5e03\u5f0f\u7cfb\u7edf\u4e13\u5bb6,\u5728\u4e66\u4e2d\u8ba8\u8bba\u4e86\u5f62\u5f0f\u5316\u9a8c\u8bc1\u3002<\/p>\n<p>\u4ed6\u8ba4\u4e3a,\u7a0b\u5e8f\u4e0d\u5e94\u8be5\u53ea\u662f&quot;\u8dd1\u8d77\u6765\u5c31\u884c&quot;,\u800c\u5e94\u8be5\u50cf\u6570\u5b66\u5b9a\u7406\u4e00\u6837,\u6709\u4e25\u683c\u7684\u8bc1\u660e\u3002<\/p>\n<p>\u5bf9\u4e8e\u5173\u952e\u7cfb\u7edf\u2014\u2014\u822a\u5929\u3001\u533b\u7597\u3001\u91d1\u878d,\u4e00\u4e2abug\u53ef\u80fd\u5bfc\u81f4\u707e\u96be\u3002\u8fd9\u65f6\u5019,\u6211\u4eec\u9700\u8981\u7528\u6570\u5b66\u65b9\u6cd5\u8bc1\u660e\u7a0b\u5e8f\u7684\u6b63\u786e\u6027\u3002<\/p>\n<p>Lamport\u5f00\u53d1\u4e86TLA+\u8bed\u8a00,\u7528\u6765\u5f62\u5f0f\u5316\u63cf\u8ff0\u7cfb\u7edf\u7684\u884c\u4e3a,\u5e76\u81ea\u52a8\u68c0\u67e5\u662f\u5426\u5b58\u5728\u9519\u8bef\u3002<\/p>\n<p>\u4e9a\u9a6c\u900a\u3001\u5fae\u8f6f\u7b49\u516c\u53f8\u7528TLA+\u9a8c\u8bc1\u4e86\u4ed6\u4eec\u7684\u5206\u5e03\u5f0f\u7cfb\u7edf,\u53d1\u73b0\u4e86\u8bb8\u591a\u901a\u8fc7\u6d4b\u8bd5\u65e0\u6cd5\u53d1\u73b0\u7684\u5fae\u5999bug\u3002<\/p>\n<p>\u8fd9\u79cd\u65b9\u6cd5\u7684\u7f8e\u5728\u4e8e:\u5b83\u4e0d\u662f&quot;\u78b0\u8fd0\u6c14&quot;\u5f0f\u7684\u6d4b\u8bd5,\u800c\u662f\u6570\u5b66\u4e0a\u7684\u786e\u5b9a\u6027\u3002\u4e00\u65e6\u8bc1\u660e\u901a\u8fc7,\u7cfb\u7edf\u5728\u6240\u6709\u53ef\u80fd\u7684\u60c5\u51b5\u4e0b\u90fd\u662f\u6b63\u786e\u7684\u3002<\/p>\n<p>\u5f53\u7136,\u5f62\u5f0f\u5316\u9a8c\u8bc1\u6210\u672c\u5f88\u9ad8,\u4e0d\u662f\u6240\u6709\u7a0b\u5e8f\u90fd\u9700\u8981\u3002\u4f46\u5b83\u4ee3\u8868\u4e86\u4e00\u4e2a\u7406\u60f3:\u4ee3\u7801\u4e0d\u4ec5\u8981\u80fd\u8fd0\u884c,\u8fd8\u8981\u80fd\u8bc1\u660e\u6b63\u786e\u3002<\/p>\n<h3>\u4e0d\u53d8\u5f0f:\u7a0b\u5e8f\u7684\u7075\u9b42<\/h3>\n<p>\u4e66\u4e2d\u591a\u4f4d\u4f5c\u8005\u8ba8\u8bba\u4e86&quot;\u4e0d\u53d8\u5f0f&quot;\u2014\u2014\u7a0b\u5e8f\u4e2d\u59cb\u7ec8\u6210\u7acb\u7684\u6027\u8d28\u3002<\/p>\n<p>\u6bd4\u5982\u6392\u5e8f\u7b97\u6cd5\u7684\u4e0d\u53d8\u5f0f\u662f:&quot;\u5df2\u5904\u7406\u90e8\u5206\u662f\u6709\u5e8f\u7684&quot;\u3002\u5982\u679c\u4f60\u80fd\u8bc1\u660e\u6bcf\u4e00\u6b65\u90fd\u4fdd\u6301\u8fd9\u4e2a\u4e0d\u53d8\u5f0f,\u5e76\u4e14\u6700\u7ec8\u6240\u6709\u5143\u7d20\u90fd\u88ab\u5904\u7406,\u90a3\u4e48\u7b97\u6cd5\u5c31\u662f\u6b63\u786e\u7684\u3002<\/p>\n<p>\u8fd9\u4e2a\u601d\u60f3\u6765\u81ea\u6570\u5b66\u5f52\u7eb3\u6cd5:<\/p>\n<ul>\n<li>\u57fa\u7840\u60c5\u51b5:\u5f00\u59cb\u65f6\u4e0d\u53d8\u5f0f\u6210\u7acb<\/li>\n<li>\u5f52\u7eb3\u6b65\u9aa4:\u5982\u679c\u7b2cn\u6b65\u4e0d\u53d8\u5f0f\u6210\u7acb,\u7b2cn+1\u6b65\u4e5f\u6210\u7acb<\/li>\n<li>\u7ed3\u8bba:\u6240\u6709\u6b65\u9aa4\u4e0d\u53d8\u5f0f\u90fd\u6210\u7acb<\/li>\n<\/ul>\n<p>\u4e66\u4e2d\u8bf4,\u597d\u7684\u7a0b\u5e8f\u5458\u5199\u4ee3\u7801\u65f6,\u8111\u5b50\u91cc\u6709\u6e05\u6670\u7684\u4e0d\u53d8\u5f0f\u3002\u4ed6\u4eec\u77e5\u9053\u5728\u6bcf\u4e2a\u5173\u952e\u70b9,\u7a0b\u5e8f\u5e94\u8be5\u5904\u4e8e\u4ec0\u4e48\u72b6\u6001\u3002<\/p>\n<p>\u8fd9\u5c31\u50cf\u5efa\u7b51\u5e08\u8bbe\u8ba1\u623f\u5b50,\u4e0d\u662f\u968f\u610f\u5806\u780c\u7816\u5757,\u800c\u662f\u6709\u660e\u786e\u7684\u7ed3\u6784\u539f\u7406\u3002<\/p>\n<p>\u4e0d\u53d8\u5f0f\u8ba9\u4ee3\u7801\u6709\u4e86&quot;\u7075\u9b42&quot;\u2014\u2014\u4e00\u4e2a\u8d2f\u7a7f\u59cb\u7ec8\u7684\u6838\u5fc3\u903b\u8f91\u3002<\/p>\n<h3>\u6d4b\u8bd5:\u6c38\u8fdc\u4e0d\u591f\u7684\u5b89\u5168\u7f51<\/h3>\n<p>\u867d\u7136\u5f62\u5f0f\u5316\u9a8c\u8bc1\u5f88\u7f8e,\u4f46\u5927\u591a\u6570\u7a0b\u5e8f\u8fd8\u662f\u4f9d\u8d56\u6d4b\u8bd5\u3002<\/p>\n<p>\u4e66\u4e2d\u8ba8\u8bba\u4e86\u6d4b\u8bd5\u7684\u54f2\u5b66:\u6d4b\u8bd5\u4e0d\u80fd\u8bc1\u660e\u7a0b\u5e8f\u6b63\u786e,\u53ea\u80fd\u8bc1\u660e\u5b83\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u6b63\u786e\u3002<\/p>\n<p>\u4f46\u597d\u7684\u6d4b\u8bd5\u53ef\u4ee5\u5927\u5927\u63d0\u9ad8\u4fe1\u5fc3\u3002\u5173\u952e\u662f:<\/p>\n<p><strong>\u8fb9\u754c\u6d4b\u8bd5<\/strong>:\u6700\u5bb9\u6613\u51fa\u9519\u7684\u662f\u8fb9\u754c\u60c5\u51b5\u2014\u2014\u7a7a\u8f93\u5165\u3001\u5355\u4e2a\u5143\u7d20\u3001\u6700\u5927\u503c\u3001\u6700\u5c0f\u503c\u3002<\/p>\n<p><strong>\u538b\u529b\u6d4b\u8bd5<\/strong>:\u5728\u6781\u9650\u60c5\u51b5\u4e0b,\u7a0b\u5e8f\u4f1a\u66b4\u9732\u9690\u85cf\u7684\u95ee\u9898\u3002<\/p>\n<p><strong>\u968f\u673a\u6d4b\u8bd5<\/strong>:\u7528\u968f\u673a\u8f93\u5165,\u53ef\u80fd\u53d1\u73b0\u4f60\u60f3\u4e0d\u5230\u7684\u8fb9\u754c\u60c5\u51b5\u3002<\/p>\n<p><strong>\u56de\u5f52\u6d4b\u8bd5<\/strong>:\u6bcf\u6b21\u4fee\u590dbug,\u90fd\u6dfb\u52a0\u4e00\u4e2a\u6d4b\u8bd5,\u786e\u4fddbug\u4e0d\u4f1a\u518d\u51fa\u73b0\u3002<\/p>\n<p>\u4e66\u4e2d\u6709\u4f4d\u4f5c\u8005\u8bf4:\u7f8e\u7684\u4ee3\u7801\u5e94\u8be5\u662f\u6613\u4e8e\u6d4b\u8bd5\u7684\u3002\u5982\u679c\u4e00\u6bb5\u4ee3\u7801\u5f88\u96be\u6d4b\u8bd5,\u901a\u5e38\u8bf4\u660e\u5b83\u7684\u8bbe\u8ba1\u6709\u95ee\u9898\u2014\u2014\u8026\u5408\u592a\u7d27\u3001\u804c\u8d23\u4e0d\u6e05\u3001\u4f9d\u8d56\u590d\u6742\u3002<\/p>\n<p>\u597d\u7684\u8bbe\u8ba1\u548c\u53ef\u6d4b\u8bd5\u6027,\u5f80\u5f80\u662f\u4e00\u4f53\u7684\u3002<\/p>\n<h2>\u7b2c\u4e94\u7ae0:\u53ef\u8bfb\u6027\u4e4b\u7f8e\u2014\u2014\u4ee3\u7801\u662f\u5199\u7ed9\u4eba\u770b\u7684<\/h2>\n<h3>\u547d\u540d\u7684\u827a\u672f<\/h3>\n<p>Phil Karlton\u6709\u53e5\u540d\u8a00:&quot;\u8ba1\u7b97\u673a\u79d1\u5b66\u53ea\u6709\u4e24\u4e2a\u96be\u9898:\u7f13\u5b58\u5931\u6548\u548c\u547d\u540d\u3002&quot;<\/p>\n<p>\u4e66\u4e2d\u591a\u4f4d\u4f5c\u8005\u90fd\u5f3a\u8c03\u547d\u540d\u7684\u91cd\u8981\u6027\u3002\u4e00\u4e2a\u597d\u7684\u540d\u5b57,\u80fd\u8ba9\u4ee3\u7801\u81ea\u6587\u6863\u5316;\u4e00\u4e2a\u5dee\u7684\u540d\u5b57,\u80fd\u8ba9\u4ee3\u7801\u53d8\u6210\u8c1c\u9898\u3002<\/p>\n<p>\u597d\u7684\u547d\u540d\u5e94\u8be5:<\/p>\n<p><strong>\u51c6\u786e<\/strong>:\u540d\u5b57\u5e94\u8be5\u51c6\u786e\u63cf\u8ff0\u4e8b\u7269\u3002<code>calculateTotalPrice()<\/code>\u6bd4<code>process()<\/code>\u597d\u3002<\/p>\n<p><strong>\u4e00\u81f4<\/strong>:\u76f8\u4f3c\u7684\u4e1c\u897f\u7528\u76f8\u4f3c\u7684\u547d\u540d\u3002\u5982\u679c\u4e00\u4e2a\u5730\u65b9\u7528<code>get<\/code>,\u5c31\u4e0d\u8981\u5728\u53e6\u4e00\u4e2a\u5730\u65b9\u7528<code>fetch<\/code>\u3002<\/p>\n<p><strong>\u6709\u5c42\u6b21<\/strong>:\u4ece\u62bd\u8c61\u5230\u5177\u4f53,\u540d\u5b57\u5e94\u8be5\u53cd\u6620\u5c42\u7ea7\u5173\u7cfb\u3002<\/p>\n<p><strong>\u907f\u514d\u7f29\u5199<\/strong>:\u9664\u975e\u662f\u516c\u8ba4\u7684\u7f29\u5199(\u5982HTTP\u3001URL),\u5426\u5219\u5199\u5b8c\u6574\u7684\u5355\u8bcd\u3002<\/p>\n<p>\u4e66\u4e2d\u4e3e\u4e86\u4e00\u4e2a\u4f8b\u5b50:<\/p>\n<pre><code class=\"language-python\"># \u5dee\ndef f(x, y):\n    return x * y * 0.9\n\n# \u597d\ndef calculate_discounted_price(original_price, quantity):\n    DISCOUNT_RATE = 0.9\n    return original_price * quantity * DISCOUNT_RATE<\/code><\/pre>\n<p>\u7b2c\u4e8c\u4e2a\u7248\u672c\u867d\u7136\u957f,\u4f46\u4f60\u7acb\u523b\u5c31\u660e\u767d\u5b83\u5728\u505a\u4ec0\u4e48\u3002\u800c\u7b2c\u4e00\u4e2a\u7248\u672c,\u4f60\u9700\u8981\u731c\u6d4b\u6216\u67e5\u770b\u4e0a\u4e0b\u6587\u3002<\/p>\n<p>\u597d\u7684\u547d\u540d,\u8ba9\u4ee3\u7801\u6210\u4e3a\u4e00\u79cd\u6587\u5b66\u3002<\/p>\n<h3>\u6ce8\u91ca\u7684\u667a\u6167<\/h3>\n<p>\u5173\u4e8e\u6ce8\u91ca,\u4e66\u4e2d\u6709\u4e24\u6d3e\u89c2\u70b9:<\/p>\n<p>\u4e00\u6d3e\u8ba4\u4e3a,\u597d\u7684\u4ee3\u7801\u4e0d\u9700\u8981\u6ce8\u91ca\u3002\u5982\u679c\u4ee3\u7801\u672c\u8eab\u6e05\u6670,\u6ce8\u91ca\u5c31\u662f\u5197\u4f59\u7684\u3002<\/p>\n<p>\u53e6\u4e00\u6d3e\u8ba4\u4e3a,\u6ce8\u91ca\u662f\u5fc5\u8981\u7684\u3002\u5b83\u89e3\u91ca&quot;\u4e3a\u4ec0\u4e48&quot;\u800c\u4e0d\u662f&quot;\u662f\u4ec0\u4e48&quot;\u3002<\/p>\n<p>\u4f5c\u8005\u4eec\u8fbe\u6210\u7684\u5171\u8bc6\u662f:<\/p>\n<p><strong>\u4ee3\u7801\u8bf4&quot;\u505a\u4ec0\u4e48&quot;<\/strong>:\u4ee3\u7801\u672c\u8eab\u5e94\u8be5\u6e05\u6670\u5730\u8868\u8fbe\u903b\u8f91\u3002<\/p>\n<p><strong>\u6ce8\u91ca\u8bf4&quot;\u4e3a\u4ec0\u4e48&quot;<\/strong>:\u6ce8\u91ca\u89e3\u91ca\u8bbe\u8ba1\u51b3\u7b56\u3001\u6743\u8861\u53d6\u820d\u3001\u7279\u6b8a\u60c5\u51b5\u3002<\/p>\n<p>\u4e3e\u4e2a\u4f8b\u5b50:<\/p>\n<pre><code class=\"language-python\"># \u5dee\u7684\u6ce8\u91ca\nx = x + 1  # x\u52a01\n\n# \u597d\u7684\u6ce8\u91ca\nx = x + 1  # \u8df3\u8fc7\u5934\u90e8\u6807\u8bc6\u7b26,\u4ece\u5b9e\u9645\u6570\u636e\u5f00\u59cb<\/code><\/pre>\n<p>\u7b2c\u4e00\u4e2a\u6ce8\u91ca\u53ea\u662f\u91cd\u590d\u4e86\u4ee3\u7801,\u6beb\u65e0\u4ef7\u503c\u3002\u7b2c\u4e8c\u4e2a\u6ce8\u91ca\u89e3\u91ca\u4e86\u4e3a\u4ec0\u4e48\u8981\u52a01,\u63d0\u4f9b\u4e86\u4e0a\u4e0b\u6587\u3002<\/p>\n<p>\u66f4\u8fdb\u4e00\u6b65,\u5982\u679c\u4ee3\u7801\u672c\u8eab\u80fd\u8bf4\u660e\u610f\u56fe,\u5c31\u4e0d\u9700\u8981\u6ce8\u91ca:<\/p>\n<pre><code class=\"language-python\"># \u4e0d\u9700\u8981\u6ce8\u91ca\ncurrent_index = skip_header(current_index)<\/code><\/pre>\n<p>\u51fd\u6570\u540d\u5df2\u7ecf\u8bf4\u660e\u4e86\u610f\u56fe,\u6ce8\u91ca\u662f\u591a\u4f59\u7684\u3002<\/p>\n<h3>\u4ee3\u7801\u7684\u5e03\u5c40<\/h3>\n<p>\u4e66\u4e2d\u8ba8\u8bba\u4e86\u4ee3\u7801\u7684\u89c6\u89c9\u7ed3\u6784\u2014\u2014\u7f29\u8fdb\u3001\u7a7a\u884c\u3001\u5bf9\u9f50\u3002<\/p>\n<p>\u8fd9\u542c\u8d77\u6765\u662f\u5c0f\u4e8b,\u4f46\u5b9e\u9645\u4e0a\u6781\u5927\u5730\u5f71\u54cd\u53ef\u8bfb\u6027\u3002<\/p>\n<p>Python\u5f3a\u5236\u7f29\u8fdb,\u5f88\u591a\u7a0b\u5e8f\u5458\u8d77\u521d\u62b1\u6028,\u4f46\u540e\u6765\u53d1\u73b0\u8fd9\u8ba9\u6240\u6709Python\u4ee3\u7801\u90fd\u6709\u7edf\u4e00\u7684\u98ce\u683c,\u6781\u5927\u63d0\u9ad8\u4e86\u53ef\u8bfb\u6027\u3002<\/p>\n<p>\u4e66\u4e2d\u5efa\u8bae:<\/p>\n<p><strong>\u7528\u7a7a\u884c\u5206\u9694\u903b\u8f91\u5757<\/strong>:\u5c31\u50cf\u6587\u7ae0\u5206\u6bb5,\u4ee3\u7801\u4e5f\u5e94\u8be5\u5206\u5757\u3002<\/p>\n<p><strong>\u5bf9\u9f50\u76f8\u5173\u7684\u4ee3\u7801<\/strong>:\u8ba9\u89c6\u89c9\u4e0a\u7684\u76f8\u4f3c\u6027\u53cd\u6620\u903b\u8f91\u4e0a\u7684\u76f8\u4f3c\u6027\u3002<\/p>\n<p><strong>\u4fdd\u6301\u4e00\u81f4\u7684\u98ce\u683c<\/strong>:\u4e0d\u8981\u6df7\u7528\u4e0d\u540c\u7684\u7f29\u8fdb\u3001\u547d\u540d\u3001\u683c\u5f0f\u3002<\/p>\n<p>\u597d\u7684\u4ee3\u7801\u5e03\u5c40,\u8ba9\u4ee3\u7801\u50cf\u8bd7\u6b4c\u4e00\u6837\u6709\u8282\u594f\u611f\u3002<\/p>\n<h2>\u7b2c\u516d\u7ae0:\u6027\u80fd\u4e4b\u7f8e\u2014\u2014\u5feb\u800c\u4e0d\u4e71<\/h2>\n<h3>\u8fc7\u65e9\u4f18\u5316\u662f\u4e07\u6076\u4e4b\u6e90<\/h3>\n<p>Donald Knuth\u7684\u540d\u8a00\u88ab\u4e66\u4e2d\u53cd\u590d\u5f15\u7528:&quot;\u8fc7\u65e9\u4f18\u5316\u662f\u4e07\u6076\u4e4b\u6e90\u3002&quot;<\/p>\n<p>\u4ec0\u4e48\u610f\u601d?\u5f88\u591a\u7a0b\u5e8f\u5458\u82b1\u5927\u91cf\u65f6\u95f4\u4f18\u5316\u4ee3\u7801\u7684\u6027\u80fd,\u4f46\u5b9e\u9645\u4e0a:<\/p>\n<ul>\n<li>90%\u7684\u8fd0\u884c\u65f6\u95f4\u82b1\u572810%\u7684\u4ee3\u7801\u4e0a<\/li>\n<li>\u4f60\u4ee5\u4e3a\u7684\u74f6\u9888,\u5f80\u5f80\u4e0d\u662f\u771f\u6b63\u7684\u74f6\u9888<\/li>\n<li>\u4f18\u5316\u5f80\u5f80\u8ba9\u4ee3\u7801\u53d8\u5f97\u590d\u6742\u3001\u96be\u8bfb\u3001\u96be\u7ef4\u62a4<\/li>\n<\/ul>\n<p>\u6b63\u786e\u7684\u505a\u6cd5\u662f:<\/p>\n<p><strong>\u7b2c\u4e00\u6b65:\u8ba9\u4ee3\u7801\u6b63\u786e<\/strong>\u3002\u4e0d\u8981\u7ba1\u6027\u80fd,\u5148\u8ba9\u5b83\u8dd1\u8d77\u6765\u3002<\/p>\n<p><strong>\u7b2c\u4e8c\u6b65:\u8ba9\u4ee3\u7801\u6e05\u6670<\/strong>\u3002\u91cd\u6784\u4ee3\u7801,\u8ba9\u5b83\u6613\u8bfb\u6613\u61c2\u3002<\/p>\n<p><strong>\u7b2c\u4e09\u6b65:\u6d4b\u91cf\u6027\u80fd<\/strong>\u3002\u7528\u5de5\u5177\u627e\u51fa\u771f\u6b63\u7684\u74f6\u9888\u3002<\/p>\n<p><strong>\u7b2c\u56db\u6b65:\u4f18\u5316\u74f6\u9888<\/strong>\u3002\u53ea\u4f18\u5316\u90a3\u4e9b\u771f\u6b63\u5f71\u54cd\u6027\u80fd\u7684\u90e8\u5206\u3002<\/p>\n<p>\u4e66\u4e2d\u4e3e\u4e86\u4e00\u4e2a\u4f8b\u5b50:\u67d0\u7a0b\u5e8f\u5458\u82b1\u4e00\u5468\u65f6\u95f4\u4f18\u5316\u4e86\u4e00\u4e2a\u51fd\u6570,\u8ba9\u5b83\u5feb\u4e8610\u500d\u3002\u4f46\u6d4b\u91cf\u53d1\u73b0,\u8fd9\u4e2a\u51fd\u6570\u53ea\u5360\u603b\u8fd0\u884c\u65f6\u95f4\u76840.1%,\u6240\u4ee5\u6574\u4f53\u6027\u80fd\u53ea\u63d0\u5347\u4e860.09%,\u6839\u672c\u611f\u89c9\u4e0d\u51fa\u6765\u3002<\/p>\n<p>\u8fd9\u5c31\u662f\u8fc7\u65e9\u4f18\u5316\u7684\u9677\u9631:\u4f60\u5728\u9519\u8bef\u7684\u5730\u65b9\u52aa\u529b\u3002<\/p>\n<h3>\u7b97\u6cd5\u80dc\u8fc7\u6280\u5de7<\/h3>\n<p>\u4e66\u4e2d\u53cd\u590d\u5f3a\u8c03:\u9009\u5bf9\u7b97\u6cd5,\u6bd4\u4f18\u5316\u4ee3\u7801\u91cd\u8981\u4e00\u5343\u500d\u3002<\/p>\n<p>\u4e00\u4e2aO(n\u00b2)\u7684\u7b97\u6cd5,\u65e0\u8bba\u4f60\u600e\u4e48\u4f18\u5316,\u90fd\u6bd4\u4e0d\u8fc7\u4e00\u4e2aO(n log n)\u7684\u7b97\u6cd5\u3002<\/p>\n<p>\u4e3e\u4e2a\u4f8b\u5b50:\u5982\u679c\u4f60\u8981\u5bf9\u4e00\u767e\u4e07\u4e2a\u6570\u6392\u5e8f,\u7528\u5192\u6ce1\u6392\u5e8f\u9700\u89811\u4e07\u4ebf\u6b21\u6bd4\u8f83,\u800c\u5feb\u901f\u6392\u5e8f\u53ea\u9700\u89812\u5343\u4e07\u6b21\u3002\u8fd9\u662f5\u4e07\u500d\u7684\u5dee\u8ddd\u3002<\/p>\n<p>\u4efb\u4f55\u4ee3\u7801\u7ea7\u7684\u4f18\u5316,\u90fd\u65e0\u6cd5\u5f25\u8865\u7b97\u6cd5\u7684\u5dee\u8ddd\u3002<\/p>\n<p>\u6240\u4ee5\u4e66\u4e2d\u5efa\u8bae:\u5728\u5199\u4ee3\u7801\u4e4b\u524d,\u5148\u60f3\u6e05\u695a\u7b97\u6cd5\u3002\u9009\u5bf9\u7b97\u6cd5,\u5f80\u5f80\u4e00\u52b3\u6c38\u9038;\u9009\u9519\u7b97\u6cd5,\u540e\u7eed\u518d\u591a\u4f18\u5316\u90fd\u662f\u5f92\u52b3\u3002<\/p>\n<h3>\u6027\u80fd\u7684\u6743\u8861<\/h3>\n<p>\u4e66\u4e2d\u4e5f\u8ba8\u8bba\u4e86\u6027\u80fd\u4f18\u5316\u7684\u6743\u8861:<\/p>\n<p><strong>\u65f6\u95f4vs\u7a7a\u95f4<\/strong>:\u66f4\u5feb\u7684\u7b97\u6cd5\u5f80\u5f80\u9700\u8981\u66f4\u591a\u5185\u5b58\u3002<\/p>\n<p><strong>\u6027\u80fdvs\u53ef\u8bfb\u6027<\/strong>:\u4f18\u5316\u540e\u7684\u4ee3\u7801\u5f80\u5f80\u66f4\u96be\u8bfb\u61c2\u3002<\/p>\n<p><strong>\u901a\u7528\u6027vs\u6548\u7387<\/strong>:\u4e13\u95e8\u5316\u7684\u4ee3\u7801\u66f4\u5feb,\u4f46\u901a\u7528\u4ee3\u7801\u66f4\u7075\u6d3b\u3002<\/p>\n<p>\u4f5c\u8005\u4eec\u7684\u5171\u8bc6\u662f:\u5728\u5927\u591a\u6570\u60c5\u51b5\u4e0b,\u4f18\u5148\u8003\u8651\u53ef\u8bfb\u6027\u548c\u6b63\u786e\u6027\u3002\u53ea\u6709\u5728\u6027\u80fd\u771f\u6b63\u6210\u4e3a\u95ee\u9898\u65f6,\u624d\u727a\u7272\u53ef\u8bfb\u6027\u53bb\u4f18\u5316\u3002<\/p>\n<p>\u56e0\u4e3a\u4ee3\u7801\u7684\u751f\u547d\u5468\u671f\u4e2d,\u8bfb\u7684\u6b21\u6570\u8fdc\u591a\u4e8e\u5199\u7684\u6b21\u6570\u3002\u4e00\u6bb5\u96be\u61c2\u7684\u4ee3\u7801,\u4f1a\u8ba9\u540e\u7eed\u7684\u7ef4\u62a4\u53d8\u5f97\u75db\u82e6\u3002<\/p>\n<p>\u6027\u80fd\u56fa\u7136\u91cd\u8981,\u4f46\u4e0d\u662f\u4e00\u5207\u3002<\/p>\n<h2>\u7b2c\u4e03\u7ae0:\u5bb9\u9519\u4e4b\u7f8e\u2014\u2014\u62e5\u62b1\u5931\u8d25<\/h2>\n<h3>\u9632\u5fa1\u6027\u7f16\u7a0b<\/h3>\n<p>\u4e66\u4e2d\u8ba8\u8bba\u4e86\u9632\u5fa1\u6027\u7f16\u7a0b\u7684\u539f\u5219:\u5047\u8bbe\u4e00\u5207\u90fd\u4f1a\u51fa\u9519\u3002<\/p>\n<p>\u8f93\u5165\u53ef\u80fd\u662f\u975e\u6cd5\u7684,\u6587\u4ef6\u53ef\u80fd\u4e0d\u5b58\u5728,\u7f51\u7edc\u53ef\u80fd\u65ad\u5f00,\u5185\u5b58\u53ef\u80fd\u4e0d\u8db3,\u7528\u6237\u53ef\u80fd\u505a\u5947\u602a\u7684\u64cd\u4f5c\u3002<\/p>\n<p>\u597d\u7684\u7a0b\u5e8f\u5e94\u8be5\u9884\u89c1\u8fd9\u4e9b\u95ee\u9898,\u5e76\u4f18\u96c5\u5730\u5904\u7406:<\/p>\n<p><strong>\u9a8c\u8bc1\u8f93\u5165<\/strong>:\u4e0d\u8981\u5047\u8bbe\u8f93\u5165\u603b\u662f\u5408\u6cd5\u7684\u3002<\/p>\n<p><strong>\u68c0\u67e5\u8fd4\u56de\u503c<\/strong>:\u51fd\u6570\u8c03\u7528\u53ef\u80fd\u5931\u8d25,\u8981\u68c0\u67e5\u5e76\u5904\u7406\u3002<\/p>\n<p><strong>\u91ca\u653e\u8d44\u6e90<\/strong>:\u5373\u4f7f\u51fa\u9519,\u4e5f\u8981\u91ca\u653e\u5df2\u5206\u914d\u7684\u8d44\u6e90\u3002<\/p>\n<p><strong>\u63d0\u4f9b\u6709\u7528\u7684\u9519\u8bef\u4fe1\u606f<\/strong>:\u4e0d\u8981\u53ea\u8bf4&quot;\u51fa\u9519\u4e86&quot;,\u8981\u8bf4\u6e05\u695a\u662f\u4ec0\u4e48\u9519,\u4e3a\u4ec0\u4e48\u9519,\u600e\u4e48\u89e3\u51b3\u3002<\/p>\n<p>\u4e66\u4e2d\u4e3e\u4e86\u4e00\u4e2a\u53cd\u4f8b:\u67d0\u7a0b\u5e8f\u5047\u8bbe\u914d\u7f6e\u6587\u4ef6\u4e00\u5b9a\u5b58\u5728,\u7ed3\u679c\u90e8\u7f72\u65f6\u6587\u4ef6\u7f3a\u5931,\u7a0b\u5e8f\u5d29\u6e83,\u9519\u8bef\u4fe1\u606f\u662f&quot;\u6bb5\u9519\u8bef&quot;,\u7528\u6237\u548c\u5f00\u53d1\u8005\u90fd\u4e0d\u77e5\u9053\u53d1\u751f\u4e86\u4ec0\u4e48\u3002<\/p>\n<p>\u597d\u7684\u7a0b\u5e8f\u5e94\u8be5\u8fd9\u6837:\u68c0\u6d4b\u5230\u6587\u4ef6\u4e0d\u5b58\u5728,\u6253\u5370&quot;\u914d\u7f6e\u6587\u4ef6config.ini\u4e0d\u5b58\u5728,\u8bf7\u68c0\u67e5&quot;,\u7136\u540e\u4f18\u96c5\u9000\u51fa\u3002<\/p>\n<h3>\u5931\u8d25\u5feb\u901f<\/h3>\n<p>Fail 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