{"@attributes":{"version":"2.0"},"channel":{"title":"Algorithm on \u9694\u53f6\u9ec4\u83ba Yanbin's Blog - \u8f6f\u4ef6\u7f16\u7a0b\u5b9e\u8df5","link":"https:\/\/yanbin.blog\/categories\/algorithm\/","description":"Recent content in Algorithm on \u9694\u53f6\u9ec4\u83ba Yanbin's Blog - \u8f6f\u4ef6\u7f16\u7a0b\u5b9e\u8df5","generator":"Hugo -- gohugo.io","language":"en-us","managingEditor":"yabqiu@gmail.com (Yanbin Qiu)","webMaster":"yabqiu@gmail.com (Yanbin Qiu)","copyright":"Yanbin \u9694\u53f6\u9ec4\u83ba","lastBuildDate":"Thu, 05 Dec 2024 01:06:36 -0600","item":[{"title":"SciPy \u6700\u4f18\u5316\u4e4b\u6700\u5c0f\u5316","link":"https:\/\/yanbin.blog\/scipy-optimize-minimize\/","pubDate":"Thu, 05 Dec 2024 01:06:36 -0600","author":"yabqiu@gmail.com (Yanbin Qiu)","guid":"https:\/\/yanbin.blog\/scipy-optimize-minimize\/","description":"\n[latexpage]<\/p>\n<br\/>\n\u00a0SciPy \u662f\u4e00\u4e2a\u5f00\u6e90\u7684\u7b97\u6cd5\u5e93\u548c\u6570\u5b66\u5de5\u5177\u5305\uff0c\u53ef\u4ee5\u5904\u7406\u6700\u4f18\u5316\u3001\u7ebf\u6027\u4ee3\u6570\u3001\u79ef\u5206\u3001\u63d2\u503c\u3001\u62df\u5408\u3001\u7279\u6b8a\u51fd\u6570\u3001\u5feb\u901f\u5085\u91cc\u53f6\u53d8\u6362\u3001\u4fe1\u53f7\u5904\u7406\u3001\u56fe\u50cf\u5904\u7406\u3001\u5e38\u5fae\u5206\u65b9\u7a0b\u6c42\u89e3\u5668\u7b49\u3002 \u5b83\u4f9d\u8d56\u4e8e NumPy, Pandas \u4e5f\u4f9d\u8d56\u4e86 NumPy\u3002\u672c\u6587\u91cd\u70b9\u662f\u4f53\u9a8c\u5b83\u600e\u4e48\u5904\u7406\u6700\u4f18\u5316\u7684\u95ee\u9898\u3002\u5f88\u591a\u60c5\u5f62\u4e0b\u901a\u8fc7 SciPy \u7684\u00a0 optimize.minimize \u65b9\u6cd5\u5bfb\u6c42\u76ee\u6807\u51fd\u6570\u6700\u5c0f\u503c\u7684\u8fc7\u7a0b\u5f97\u5230\u6700\u4f18\u5316\u7684\u8f93\u5165\u4e0e\u8f93\u51fa\u3002\u6bd4\u5982\u5bfb\u627e\u4e8c\u6b21\u5143\u51fd\u6570\u7684\u6839\uff0c\u6c42\u89e3\u7ebf\u6027\/\u52a8\u6001\u89c4\u5219\uff0c\u91d1\u878d\u884c\u4e1a\u7684\u8ba1\u7b97\u51fa\u6700\u4f18\u6295\u8d44\u7ec4\u5408\u7684\u8d44\u4ea7\u5206\u914d\u7b49\u3002\u4e3a\u4ec0\u4e48 SciPy \u6ca1\u6709 maximize \u65b9\u6cd5\u5462\uff0c\u56e0\u4e3a\u6ca1\u6709\u5fc5\u8981\uff0c\u60f3\u8981\u627e\u5230\u6700\u5927\u5316\u7684\u503c\uff0c\u53ea\u8981\u628a\u76ee\u6807\u51fd\u6570\u7684\u503c\u53d6\u53cd\uff0c\u6216\u8005\u662f\u6a21\u6216\u7edd\u5bf9\u503c\u7684\u6700\u5c0f\u503c\u3002\u770b\u5230 minimize \u65b9\u6cd5\u540d\u66f4\u8ba9\u4eba\u89c9\u5f97\u76ee\u6807\u51fd\u6570\u4f1a\u6709\u4e00\u4e2a\u6536\u655b\u503c\u3002<br\/><br\/>\n\u867d\u7136 SciPy \u5bf9\u7279\u5b9a\u7684\u95ee\u9898\u6709\u66f4\u76f4\u767d\u7684\u51fd\u6570\uff0c\u5982\u6c42\u6839\u6709 optimize.root, \u7ebf\u6027\u89c4\u5219 optimize.linprog(\u73b0\u4e0d\u5efa\u8bae\u4f7f\u7528)\uff0c\u4f46\u5404\u79cd\u4f18\u5316\u57fa\u672c\u90fd\u53ef\u4ee5\u56de\u5f52\u5230 minimize \u65b9\u6cd5\u8c03\u7528\u3002minimize\u00a0\u65b9\u6cd5\u7684\u539f\u578b\u662f<br\/>\n<div class=\"highlight\"><pre tabindex=\"0\" class=\"chroma\"><code class=\"language-python\" data-lang=\"python\"><span class=\"line\"><span class=\"ln\">1<\/span><span class=\"cl\"><span class=\"k\">def<\/span> <span class=\"nf\">minimize<\/span><span class=\"p\">(<\/span><span class=\"n\">fun<\/span><span class=\"p\">,<\/span> <span class=\"n\">x0<\/span><span class=\"p\">,<\/span> <span class=\"n\">args<\/span><span class=\"o\">=<\/span><span class=\"p\">(),<\/span> <span class=\"n\">method<\/span><span class=\"o\">=<\/span><span class=\"kc\">None<\/span><span class=\"p\">,<\/span> <span class=\"n\">jac<\/span><span class=\"o\">=<\/span><span class=\"kc\">None<\/span><span class=\"p\">,<\/span> <span class=\"n\">hess<\/span><span class=\"o\">=<\/span><span class=\"kc\">None<\/span><span class=\"p\">,<\/span>\n<\/span><\/span><span class=\"line\"><span class=\"ln\">2<\/span><span class=\"cl\"> <span class=\"n\">hessp<\/span><span class=\"o\">=<\/span><span class=\"kc\">None<\/span><span class=\"p\">,<\/span> <span class=\"n\">bounds<\/span><span class=\"o\">=<\/span><span class=\"kc\">None<\/span><span class=\"p\">,<\/span> <span class=\"n\">constraints<\/span><span class=\"o\">=<\/span><span class=\"p\">(),<\/span> <span class=\"n\">tol<\/span><span class=\"o\">=<\/span><span class=\"kc\">None<\/span><span class=\"p\">,<\/span>\n<\/span><\/span><span class=\"line\"><span class=\"ln\">3<\/span><span class=\"cl\"> <span class=\"n\">callback<\/span><span class=\"o\">=<\/span><span class=\"kc\">None<\/span><span class=\"p\">,<\/span> <span class=\"n\">options<\/span><span class=\"o\">=<\/span><span class=\"kc\">None<\/span><span class=\"p\">):<\/span><\/span><\/span><\/code><\/pre><\/div>\n<br\/>\n\u9664\u4e86\u5fc5\u987b\u7684\u76ee\u6807\u51fd\u6570\u548c\u521d\u59cb\u503c\uff0c\u8fd8\u6709\u66f4\u591a\u53c2\u6570\uff0c\u50cf\u5e38\u7528\u7684\u7ea6\u675f(contraints) - \u6ee1\u8db3\u67d0\u4e9b\u7279\u5b9a\u6761\u4ef6\u7684\u6700\u4f18\u5316, \u7ebf\u7a0b\u6216\u975e\u7ebf\u6027\u7ea6\u675f\u7b49; \u6c42\u89e3\u65b9\u6cd5(method) - Powell, Newton-CG \u7b49<br\/><br\/>\n\u4e0b\u9762\u7528\u00a0optimize.minimize \u6765\u6c42\u89e3\u4e00\u4e9b\u95ee\u9898"},{"title":"\u5f52\u5e76\u6392\u5e8f\u7b97\u6cd5\u89e3\u6790","link":"https:\/\/yanbin.blog\/the-last-basic-merge-sorting\/","pubDate":"Mon, 18 May 2020 14:05:03 -0500","author":"yabqiu@gmail.com (Yanbin Qiu)","guid":"https:\/\/yanbin.blog\/the-last-basic-merge-sorting\/","description":"\n\u5bf9\u4e8e\u57fa\u672c\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u524d\u9762\u4ecb\u7ecd\u4e86\u5192\u6ce1\uff0c\u9009\u62e9\uff0c\u63d2\u5165\u548c\u5e0c\u5c14(\u589e\u5f3a\u7248\u672c\u7684\u63d2\u5165), \u8fd8\u6709\u5feb\u901f\u6392\u5e8f\uff0c\u73b0\u5728\u8fd8\u5269\u4e0b\u6700\u540e\u4e00\u79cd\u57fa\u672c\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u90a3\u5c31\u662f\u5f52\u5e76\u6392\u5e8f\u3002\u5f52\u5e76\u6392\u5e8f\u50cf\u5feb\u901f\u6392\u5e8f\u4e00\u6837\u91c7\u7528\u9012\u5f52\u7b97\u6cd5\u5bf9\u5217\u8868\u8fdb\u884c\u5206\u800c\u6cbb\u4e4b\uff0c\u6bcf\u6b21\u5e73\u5747\u4e00\u5206\u4e3a\u4e8c\uff0c\u5206\u5230\u53ea\u6709\u4e00\u4e2a\u5143\u7d20\u4e3a\u6b62\u3002\u5982\u679c\u5217\u8868\u4e3a\u7a7a\u6216\u53ea\u6709\u4e00\u4e2a\u5143\u7d20\u65f6\uff0c\u90a3\u4e48\u4ece\u5b9a\u4e49\u4e0a\u6765\u8bf4\u5b83\u5c31\u662f\u6709\u5e8f\u7684; \u5f53\u7136\u5f52\u5e76\u6392\u5e8f\u7684\u62c6\u5206\u6700\u7ec8\u4e0d\u4f1a\u6709\u7a7a\u5217\u8868\u7684\u60c5\u51b5\u3002\u62c6\u5206\u6210\u4e00\u4e2a\u4e2a\u5143\u7d20\u540e\u518d\u5f80\u56de\u5f52\u5e76\uff0c\u5f52\u5e76\u662f\u6307\u5c06\u4e24\u4e2a\u8f83\u5c0f\u7684\u6709\u5e8f\u5217\u8868\u5f52\u5e76\u4e3a\u4e00\u4e2a\u6709\u5e8f\u5217\u8868\u7684\u8fc7\u7a0b\u3002\u6bd4\u5982\u8bf4\u4e24\u4e2a\u5355\u5143\u7d20\u5217\u8868\u5f52\u5e76\u4e3a\u4e24\u4e2a\u5143\u7d20\u7684\u6709\u5e8f\u5217\u8868\uff0c\u4e24\u4e2a\u53cc\u5143\u7d20\u7684\u5217\u8868\u5f52\u5e76\u4e3a\u56db\u4e2a\u5143\u7d20\u7684\u6709\u5145\u5217\u8868\uff0c\u4e0d\u65ad\u5f80\u4e0a\u8fdb\u884c\uff0c\u6700\u540e\u5f62\u6210\u4e00\u4e2a\u6709\u5e8f\u7684\u5b8c\u6574\u5217\u8868\u3002<\/p>\n<br\/>\n\u4ece\u7ef4\u57fa\u767e\u79d1\u7684\u8bcd\u6761 <a href=\"https:\/\/en.wikipedia.org\/wiki\/Merge_sort\">Merge sort<\/a> \u627e\u5230\u4e0b\u56fe\uff0c\u5f88\u6df1\u523b\u7684\u63cf\u7ed8\u4e86\u5f52\u5e76\u6392\u5e8f\u7684\u5b8c\u6574\u8fc7\u7a0b\uff0c\u7ea2\u8272\u7bad\u5934\u62c6\u5206\uff0c\u7eff\u8272\u7bad\u5934\u5f52\u5e76"},{"title":"\u5e0c\u5c14(Shell) \u6392\u5e8f - \u589e\u5f3a\u7248\u63d2\u5165\u6392\u5e8f\u7b97\u6cd5","link":"https:\/\/yanbin.blog\/shell-sort-enhanced-insertion-sort\/","pubDate":"Mon, 04 May 2020 03:27:29 -0500","author":"yabqiu@gmail.com (Yanbin Qiu)","guid":"https:\/\/yanbin.blog\/shell-sort-enhanced-insertion-sort\/","description":"\n<p>\u524d\u9762\u8bb2\u8fc7\u7684\u51e0\u79cd\u6392\u5e8f\u591a\u662f\u4ee5\u6392\u5e8f\u903b\u8f91\u6765\u547d\u540d\u7684\uff0c\u4f8b\u5982\u5192\u6ce1\uff0c\u9009\u62e9\u548c\u63d2\u5165\u6392\u5e8f\uff0c\u4ee5\u53ca\u5176\u4ed6\u5982\u5f52\u5e76\u6392\u5e8f\uff0c\u5f53\u7136\u8fd8\u6709\u89c9\u5f97\u81ea\u5df1\u8db3\u591f\u725b X \u5feb\u901f\u6392\u5e8f\u547d\u540d\u3002\u800c\u672c\u6587\u8981\u5b66\u4e60\u7684\u6392\u5e8f\u7b97\u6cd5\u53eb\u505a\u5e0c\u5c14\u6392\u5e8f\u662f\u4ee5\u5176\u8bbe\u8ba1\u8005 Donlad Shell \u547d\u4ee4\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u8be5\u7b97\u6cd5\u5728 1959 \u5e74\u516c\u5e03\uff0c\u80fd\u4ee5\u4f5c\u8005\u6765\u547d\u540d\u7684\u7b97\u6cd5\u5e94\u8be5\u662f\u5f88\u4e0d\u9519\u7684\uff0c\u4ee4\u8bbe\u8ba1\u8005\u5f15\u4ee5\u4e3a\u50b2\u7684\u3002\u6700\u521d\u5199\u51fa\u5192\u6ce1\u548c\u9009\u62e9\u6392\u5e8f\u7684\u5c31\u6ca1\u4ee5\u4f5c\u8005\u6765\u547d\u540d\uff0c\u53ef\u80fd\u4e0d\u597d\u610f\u8bf4\uff0c\u66f4\u53ef\u80fd\u662f\u516c\u5171\u601d\u7ef4\u3002<\/p>\n<p>\u90a3\u4e48\u4ec0\u4e48\u662f\u5e0c\u5c14\u6392\u5e8f\u5462\uff1f\u5b83\u5b9e\u9645\u4e0a\u662f\u63d2\u5165\u6392\u5e8f\u7b97\u6cd5\u7684\u589e\u5f3a\u7248\u672c\uff0c\u53c8\u79f0\u9012\u51cf\u589e\u91cf\u6392\u5e8f\u7b97\u6cd5\u3002\u5b83\u5bf9\u5f85\u6392\u5e8f\u5217\u8868\u8fdb\u884c\u95f4\u9694\u5f0f\u5206\u6bb5\u63d2\u5165\u5904\u7406\uff0c\u4ece\u800c\u603b\u4f53\u4e0a\u51cf\u5c11\u4e86\u5143\u7d20\u7684\u79fb\u52a8\u6b21\u6570\u800c\u8fbe\u5230\u6027\u80fd\u7684\u5927\u5927\u63d0\u5347\u3002\u90a3\u4e48\u7406\u89e3\u5e0c\u5c14\u6392\u5e8f\u4e4b\u524d\u4e00\u5b9a\u8981\u5148\u4e86\u89e3\u63d2\u5165\u6392\u5e8f\u3002\u90a3\u4e48\u4e3a\u4ec0\u4e48\u8bf4\u5e0c\u5c14\u6392\u5e8f\u65e2\u662f\u9012\u51cf\u53c8\u662f\u589e\u91cf\u5462\uff1f"},{"title":"\u63d2\u5165\u6392\u5e8f\u7b97\u6cd5\u89e3\u6790","link":"https:\/\/yanbin.blog\/insertion-sort-how-to\/","pubDate":"Mon, 27 Apr 2020 02:46:27 -0500","author":"yabqiu@gmail.com (Yanbin Qiu)","guid":"https:\/\/yanbin.blog\/insertion-sort-how-to\/","description":"\n\u524d\u9762\u8bf4\u8fc7\u6700\u539f\u59cb\u7684\u590d\u6742\u5ea6\u4e3a O(n<sup>2<\/sup>) \u7684\u5192\u6ce1\u548c\u9009\u62e9\u6392\u5e8f\uff0c\u4e5f\u8df3\u8dc3\u5230\u4e86\u590d\u6742\u5ea6\u4e3a\u00a0 O(n log n) \u7684\u5feb\u901f\u6392\u5e8f\uff0c\u73b0\u5728\u53c8\u518d\u770b\u4e00\u4e2a\u590d\u6742\u5ea6\u540c\u6837\u4e3a O(n<sup>2<\/sup>) \u7684\u63d2\u5165\u6392\u5e8f\u3002\u4ece\u6392\u5e8f\u540d\u79f0\u7ed3\u5408\u4ee3\u7801\u6211\u4eec\u7406\u89e3\u4e86\u4e3a\u4ec0\u4e48\u53eb\u505a\u5192\u6ce1\u6216\u662f\u9009\u62e9\uff0c\u5feb\u901f\u6392\u5e8f\u81ea\u8ba4\u9ad8\u540d\uff0c\u90a3\u4e48\u4f55\u4ee5\u8fd9\u53c8\u8c13\u4e4b\u63d2\u5165\u6392\u5e8f\u5462\uff1f\u662f\u600e\u4e48\u63d2\u5165\uff0c\u4ece\u5de6\u8fb9\u5f80\u53f3\u8fb9\u63d2\uff0c\u8fd8\u662f\u4ece\u53f3\u8fb9\u5f80\u5de6\u8fb9\u63d2\uff0c\u8fd9\u5f97\u641e\u6e05\u5b83\u7684\u6392\u5e8f\u539f\u7406\uff1a<\/p>\n<br\/>\n\u5b83\u5728\u5217\u8868\u8f83\u4f4e\u7684\u4e00\u7aef\u7ef4\u62a4\u4e00\u4e2a\u6709\u5e8f\u7684\u5b50\u5217\u8868(\u4ece\u6700\u5de6\u7aef\u4e00\u4e2a\u5143\u7d20\u5f00\u59cb)\uff0c\u5e76\u9010\u4e2a\u5c06\u6bcf\u4e2a\u65b0\u5143\u7d20(\u9ad8\u7aef\u7684)\"\u63d2\u5165\"\u8fd9\u4e2a\u5b50\u5217\u8868\u3002\u63d2\u5165\u7684\u65f6\u5019\u904d\u5386\u4f4e\u7aef\u5217\u8868\uff0c\u627e\u51c6\u4f4d\u7f6e\u63d2\u5165\u4fbf\u662f\uff0c\u63d2\u5165\u70b9\u540e\u7684\u5143\u7d20\u9700\u540e\u79fb\uff0c\u5f53\u6240\u6709\u9ad8\u7aef\u7684\u5143\u7d20\u63d2\u5165\u5b8c\u6210\u4e86\uff0c\u6574\u4e2a\u5217\u8868\u5c31\u53d8\u5f97\u6709\u5e8f\u4e86\u3002<br\/><br\/>\n\u6574\u4e2a\u6392\u5e8f\u64cd\u4f5c\u793a\u610f\u56fe\u5982\u4e0b\uff1a"},{"title":"\u771f\u6b63\u6709\u4e9b\u6c34\u51c6\u7684\u6392\u5e8f\u7b97\u6cd5 - \u5feb\u901f\u6392\u5e8f","link":"https:\/\/yanbin.blog\/real-advanced-sorting-algorithm-quick\/","pubDate":"Wed, 15 Apr 2020 15:41:30 -0500","author":"yabqiu@gmail.com (Yanbin Qiu)","guid":"https:\/\/yanbin.blog\/real-advanced-sorting-algorithm-quick\/","description":"\n\u5192\u6ce1\u548c\u9009\u62e9\u6392\u5e8f\u7684\u7b80\u5355\u7c97\u66b4\u4e5f\u8bb8\u5728\u67d0\u4e9b\u4eba\u773c\u91cc\u90fd\u4e0d\u80fd\u79f0\u4f5c\u7b97\u6cd5\uff0c\u73b0\u5728\u8981\u8fdb\u5165\u4e00\u79cd\u66f4\u4f18\u96c5\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u5feb\u901f\u6392\u5e8f\u3002\u5b83\u4f7f\u7528\u5206\u800c\u6cbb\u4e4b(Divide and Conquer, D&amp;G) \u7684\u7b56\u7565\uff0c\u8981\u5e94\u7528\u5230\u9012\u5f52\u8c03\u7528\u3002\u5feb\u901f\u6392\u5e8f\u6562\u8bf4\u81ea\u5df1\u5feb\u901f\uff0c\u4e5f\u786e\u5b9e\u6bd4\u9009\u62e9\u6392\u5e8f\u5feb\u5f88\u591a\u5f88\u591a\u3002\u5192\u6ce1\u548c\u9009\u62e9\u6392\u5e8f\uff0c\u5c24\u5176\u662f\u9009\u62e9\u6392\u5e8f\u662f\u975e\u5e38\u81ea\u7136\u7684\u6392\u5e8f\u7b97\u6cd5\uff0c\u800c\u5feb\u901f\u6392\u5e8f\u5c31\u4e0d\u662f\u4e00\u822c\u4eba\u4f1a\u968f\u610f\u60f3\u51fa\u6765\u7684\u3002<br\/><br\/>\n\u5feb\u901f\u6392\u5e8f\u7684\u6f14\u7ece\u9700\u8981\u7528\u9012\u5f52\u6765\u601d\u8003\u5faa\u73af\u7684\u95ee\u9898\uff0c\u7136\u800c\u6211\u4e4b\u524d\u603b\u662f\u5728\u53ca\u529b\u7528\u5faa\u73af\u6765\u907f\u514d\u9012\u5f52\u8c03\u7528\uff0c\u6709\u8da3\u7684\u662f\u8bf8\u5982 Haskell \u7b49\u51fd\u6570\u5f0f\u7f16\u8bd1\u8bed\u8a00\u6839\u672c\u6ca1\u6709\u5faa\u73af\uff0c\u53ea\u80fd\u7528\u9012\u5f52\u6765\u7f16\u5199\u5faa\u73af\u7684\u6548\u679c\u3002\u6765\u770b\u4e00\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\uff0c\u6bd4\u5982\u8981\u4ece 1 \u52a0\u5230 100\uff0c\u6211\u4eec\u5f88\u81ea\u7136\u4f1a\u7528\u5faa\u73af\u4ece 1 \u7d2f\u52a0\u5230 100\uff0c\u5982\u679c\u6362\u6210\u9012\u5f52\uff0c\u770b\u4e0b\u9762\u7684\u4ee3\u7801<br\/>\n<div class=\"highlight\"><pre tabindex=\"0\" class=\"chroma\"><code class=\"language-python\" data-lang=\"python\"><span class=\"line\"><span class=\"ln\">1<\/span><span class=\"cl\"><span class=\"k\">def<\/span> <span class=\"nf\">summary<\/span><span class=\"p\">(<\/span><span class=\"n\">arr<\/span><span class=\"p\">):<\/span>\n<\/span><\/span><span class=\"line\"><span class=\"ln\">2<\/span><span class=\"cl\"> <span class=\"k\">if<\/span> <span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">arr<\/span><span class=\"p\">)<\/span> <span class=\"o\">==<\/span> <span class=\"mi\">0<\/span><span class=\"p\">:<\/span>\n<\/span><\/span><span class=\"line\"><span class=\"ln\">3<\/span><span class=\"cl\"> <span class=\"k\">return<\/span> <span class=\"mi\">0<\/span>\n<\/span><\/span><span class=\"line\"><span class=\"ln\">4<\/span><span class=\"cl\"> <span class=\"k\">else<\/span><span class=\"p\">:<\/span>\n<\/span><\/span><span class=\"line\"><span class=\"ln\">5<\/span><span class=\"cl\"> <span class=\"k\">return<\/span> <span class=\"n\">arr<\/span><span class=\"p\">[<\/span><span class=\"mi\">0<\/span><span class=\"p\">]<\/span> <span class=\"o\">+<\/span> <span class=\"n\">summary<\/span><span class=\"p\">(<\/span><span class=\"n\">arr<\/span><span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">:])<\/span>\n<\/span><\/span><span class=\"line\"><span class=\"ln\">6<\/span><span class=\"cl\">\n<\/span><\/span><span class=\"line\"><span class=\"ln\">7<\/span><span class=\"cl\">\n<\/span><\/span><span class=\"line\"><span class=\"ln\">8<\/span><span class=\"cl\"><span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"n\">summary<\/span><span class=\"p\">(<\/span><span class=\"nb\">list<\/span><span class=\"p\">(<\/span><span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">101<\/span><span class=\"p\">))))<\/span> <span class=\"c1\"># 5050<\/span><\/span><\/span><\/code><\/pre><\/div>\n<br\/>\n\u9012\u5f52\u6709\u52a9\u4e8e\u6211\u4eec\u628a\u5927\u95ee\u9898\u5206\u89e3\u4e3a\u5c0f\u95ee\u9898\uff0c\u4e0a\u9762\u4ee3\u7801\u7684\u601d\u7ef4\u662f\u6570\u7ec4\u7684\u548c\u603b\u662f\u5f88\u4e00\u4e2a\u5143\u7d20\u52a0\u4e0a\u5269\u4e0b\u5143\u7d20\u5217\u8868\u7684\u548c\uff0c\u76f4\u5230\u6700\u540e\u5143\u7d20\u5217\u8868\u4e3a\u7a7a(\u548c\u4e3a 0)\u3002"},{"title":"\u4e24\u79cd\u6700\u57fa\u672c\u7684\u6392\u5e8f\u7b97\u6cd5: \u5192\u6ce1\u548c\u9009\u62e9","link":"https:\/\/yanbin.blog\/two-basic-sorting-algorithms\/","pubDate":"Tue, 14 Apr 2020 17:36:28 -0500","author":"yabqiu@gmail.com (Yanbin Qiu)","guid":"https:\/\/yanbin.blog\/two-basic-sorting-algorithms\/","description":"\n\u56e0 COVID-19 \u6f2b\u5ef6\u5404\u81ea\u5c45\u5bb6\uff0c\u4e5f\u66f4\u6709\u95f2\u65f6\uff0c\u4fbf\u62e3\u8d77\u4e00\u672c\u5173\u4e8e\u7b97\u6cd5\u7684\u4e66\u7c4d\u6765\u7814\u7a76\u3002\u672c\u4e0d\u662f\u79d1\u73ed\u51fa\u8eab\uff0c\u7b97\u6cd5\u65b9\u9762\u81ea\u7136\u662f\u81ea\u5df1\u7684\u8584\u5f31\u73af\u8282\u3002\u5e73\u65f6\u7528\u5404\u79cd SDK\uff0c\u53ea\u5927\u6982\u542c\u8bf4\u4e86\u4e9b\u7b97\u6cd5\uff0c\u4ec5\u80fd\u5c31\u81ea\u5df1\u5982\u4f55\u9009\u62e9\u54ea\u79cd\u5b9e\u73b0\u800c\u4f5c\u4e3a\u53c2\u8003\u3002<br\/><br\/>\n\u5982\u4eca\u9605\u8bfb\u7684\u662f\u4e00\u672c\u5165\u95e8\u7684\u4e66\u7c4d\uff0c\u540d\u4e3a \u300a\u7b97\u6cd5\u56fe\u89e3\u300b\uff0c\u82f1\u6587\u7248\u4e66\u540d\u662f \u300aGrokking Algorithms\u300b\u3002 \u8be5\u4e66\u56fe\u6587\u5e76\u8302\uff0c\u5341\u5206\u9002\u5408\u521d\u5b66\u8005\uff0c\u5173\u4e8e\u6392\u5e8f\u6700\u57fa\u672c\u83ab\u8fc7\u4e8e\u5192\u6ce1\u4e0e\u9009\u62e9\u6392\u5e8f\u3002\u8be5\u4e66\u5e76\u672a\u63d0\u53ca\u5192\u6ce1\uff0c\u800c\u662f\u76f4\u63a5\u4ece\u9009\u62e9\u6392\u5e8f\u5207\u5165\uff0c\u5728\u9605\u8bfb\u672c\u4e66\u4e4b\u524d\u6211\u5c31\u4e00\u76f4\u5bf9\u8fd9\u4e24\u54b1\u6392\u5e8f\u65b9\u5f0f\u50bb\u50bb\u4e0d\u5206\u3002\u4e00\u76f4\u4ee5\u4e3a\u5934\u8111\u4e2d\u7684\u9009\u62e9\u6392\u5e8f\u5c31\u662f\u5192\u6ce1\u6392\u5e8f\uff0c\u90a3\u5c31\u6765\u770b\u4e0b\u4ec0\u4e48\u662f\u771f\u6b63\u7684\u5192\u6ce1\u6392\u5e8f\u3002"}]}}