{"id":707,"date":"2025-12-01T03:25:07","date_gmt":"2025-12-01T03:25:07","guid":{"rendered":"https:\/\/learndeeplytw.com\/?p=707"},"modified":"2025-12-04T03:08:49","modified_gmt":"2025-12-04T03:08:49","slug":"algorithm","status":"publish","type":"post","link":"https:\/\/learndeeplytw.com\/zh_tw\/algorithm\/","title":{"rendered":"\u4f60\u7684\u5927\u8166\u6bcf\u5929\u90fd\u5728\u5beb\u7a0b\u5f0f\uff01\u7528\u300c\u6a5f\u5668\u4eba\u904a\u6232\u300d\u79d2\u61c2\u6f14\u7b97\u6cd5\uff08Algorithm\uff09"},"content":{"rendered":"\n<p class=\"\">\u300c\u6f14\u7b97\u6cd5\uff08Algorithm\uff09\u300d\u9019\u500b\u8a5e\u807d\u8d77\u4f86\u5f88\u50cf\u9ad8\u6df1\u7684\u6578\u5b78\uff0c\u597d\u50cf\u53ea\u6709\u5929\u624d\u624d\u61c2\u3002\u4f46\u5176\u5be6\uff0c\u4f60\u6bcf\u5929\u65e9\u4e0a\u5237\u7259\u3001\u7d81\u978b\u5e36\u3001\u751a\u81f3\u6574\u7406\u66f8\u5305\u6642\uff0c\u4f60\u90fd\u5728\u57f7\u884c\u6f14\u7b97\u6cd5\uff01<\/p>\n\n\n\n<p class=\"\">\u7c21\u55ae\u4f86\u8aaa\uff0c\u6f14\u7b97\u6cd5\u5c31\u662f<strong>\u300c\u628a\u4e00\u4ef6\u4e8b\u505a\u597d\u7684\u300e\u8a73\u7d30\u6b65\u9a5f\u300f\u300d<\/strong>\u3002<\/p>\n\n\n\n<p class=\"\">\u96fb\u8166\u5f88\u7b28\uff0c\u5b83\u4e0d\u6703\u81ea\u5df1\u601d\u8003\u3002\u8981\u8b93\u96fb\u8166\u5e6b\u6211\u5011\u627e\u8cc7\u6599\u3001\u7b97\u5713\u5468\u7387\uff0c\u6211\u5011\u5fc5\u9808\u7d66\u5b83\u4e00\u5f35\u300c\u7d55\u5c0d\u4e0d\u6703\u51fa\u932f\u7684\u8aaa\u660e\u66f8\u300d\u3002\u9019\u5f35\u8aaa\u660e\u66f8\uff0c\u5c31\u53eb\u6f14\u7b97\u6cd5\u3002<\/p>\n\n\n\n<p class=\"\">\u8b93\u6211\u5011\u900f\u904e\u904a\u6232\uff0c\u8b93\u5b69\u5b50\u767c\u73fe\u81ea\u5df1\u5176\u5be6\u65e9\u5c31\u5df2\u7d93\u662f\u6f14\u7b97\u6cd5\u5927\u5e2b\u4e86\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b2c\u4e00\u968e\u6bb5\uff1a\u9ad4\u9a57\u300c\u96fb\u8166\u6709\u591a\u7b28\u300d (The Blind Robot)<\/h3>\n\n\n\n<p class=\"\">\u5b69\u5b50\u901a\u5e38\u8a8d\u70ba\u300c\u6211\u8b1b\u4e00\u904d\u4f60\u5c31\u8981\u61c2\u300d\uff0c\u4f46\u96fb\u8166\u4e0d\u662f\u9019\u6a23\u3002\u6211\u5011\u8981\u8b93\u5b69\u5b50\u9ad4\u9a57\u4ec0\u9ebc\u53eb\u300c\u7cbe\u78ba\u7684\u6307\u4ee4\u300d\u3002<\/p>\n\n\n\n<p class=\"\"><strong>1. \u904a\u6232\u8a2d\u5b9a\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\"><strong>\u89d2\u8272\u626e\u6f14<\/strong>\uff1a\u5bb6\u9577\u626e\u6f14\u300c\u778e\u773c\u6a5f\u5668\u4eba\u300d\uff08\u77c7\u4f4f\u773c\u775b\uff09\uff0c\u5b69\u5b50\u626e\u6f14\u300c\u7a0b\u5f0f\u8a2d\u8a08\u5e2b\u300d\u3002<\/li>\n\n\n\n<li class=\"\"><strong>\u4efb\u52d9<\/strong>\uff1a\u6307\u63ee\u6a5f\u5668\u4eba\u5f9e\u9580\u53e3\u8d70\u5230\u6905\u5b50\u4e0a\u5750\u4e0b\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>2. \u57f7\u884c\u8207\u300c\u9664\u932f\u300d\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\"><strong>\u5b69\u5b50\u901a\u5e38\u6703\u8aaa<\/strong>\uff1a\u300c\u5f80\u524d\u8d70\uff01\u300d<\/li>\n\n\n\n<li class=\"\"><strong>\u5bb6\u9577\uff08\u6a5f\u5668\u4eba\uff09<\/strong>\uff1a\u6545\u610f\u4e00\u76f4\u8d70\uff0c\u76f4\u5230\u649e\u5230\u7246\u58c1\u4e5f\u4e0d\u505c\uff08\u56e0\u70ba\u6307\u4ee4\u6c92\u8aaa\u505c\uff09\u3002<\/li>\n\n\n\n<li class=\"\"><strong>\u5b69\u5b50<\/strong>\uff1a\u300c\u505c\uff01\u8f49\u5f4e\uff01\u300d<\/li>\n\n\n\n<li class=\"\"><strong>\u5bb6\u9577<\/strong>\uff1a\u539f\u5730\u4e00\u76f4\u8f49\u5708\u5708\uff08\u56e0\u70ba\u6c92\u8aaa\u8f49\u54ea\u908a\u3001\u8f49\u591a\u5c11\u5ea6\uff09\u3002<\/li>\n\n\n\n<li class=\"\"><strong>\u5b69\u5b50\uff08\u5d29\u6f70\uff09<\/strong>\uff1a\u300c\u543c\uff01\u6211\u662f\u53eb\u4f60\u8f49\u5411\u6905\u5b50\u90a3\u908a\u5566\uff01\u300d<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>3. \u5efa\u69cb\u5f0f\u5f15\u5c0e\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\"><strong>\u8001\u5e2b<\/strong>\uff1a\u300c\u6a5f\u5668\u4eba\u770b\u4e0d\u5230\u6905\u5b50\uff0c\u5b83\u4e0d\u77e5\u9053\u54ea\u908a\u662f\u300e\u90a3\u908a\u300f\u3002\u4f60\u5fc5\u9808\u7d66\u5b83\u66f4\u6e05\u695a\u7684\u6307\u4ee4\u3002\u300d<\/li>\n\n\n\n<li class=\"\"><strong>\u4fee\u6b63\u5f8c\u7684\u6f14\u7b97\u6cd5<\/strong>\uff1a\n<ol class=\"wp-block-list\">\n<li class=\"\">\u5f80\u524d\u8d70 3 \u6b65\u3002<\/li>\n\n\n\n<li class=\"\">\u5411\u53f3\u8f49 90 \u5ea6\u3002<\/li>\n\n\n\n<li class=\"\">\u5f80\u524d\u8d70 2 \u6b65\u3002<\/li>\n\n\n\n<li class=\"\">\u5750\u4e0b\u3002<\/li>\n<\/ol>\n<\/li>\n\n\n\n<li class=\"\"><strong>\u7e3d\u7d50<\/strong>\uff1a\u300c\u4f60\u770b\uff0c\u9019\u4e32\u300e\u5f80\u524d\u3001\u53f3\u8f49\u3001\u5750\u4e0b\u300f\u7684\u6b65\u9a5f\uff0c\u5c31\u662f\u4e00\u500b\u8d70\u8def\u7684\u6f14\u7b97\u6cd5\uff01\u300d<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b2c\u4e8c\u968e\u6bb5\uff1a\u597d\u65b9\u6cd5 vs. \u58de\u65b9\u6cd5 (Efficiency Matters)<\/h3>\n\n\n\n<p class=\"\">\u300c\u6709\u4e9b\u6f14\u7b97\u6cd5\u6bd4\u8f03\u5feb&#8230;\u8b93\u6211\u5011\u89e3\u6c7a\u5f88\u96e3\u7684\u554f\u984c\u300d\u3002\u6211\u5011\u8981\u8b93\u5b69\u5b50\u7406\u89e3\uff0c\u540c\u6a23\u7684\u4efb\u52d9\uff0c\u6b65\u9a5f\u5b89\u6392\u5f97\u597d\u4e0d\u597d\uff0c\u5dee\u5225\u5f88\u5927\u3002<\/p>\n\n\n\n<p class=\"\"><strong>1. \u4efb\u52d9\uff1a\u6574\u7406\u66f8\u5305 (Bin Packing Problem)<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\"><strong>\u60c5\u5883<\/strong>\uff1a\u7d66\u5b69\u5b50\u4e00\u5806\u5927\u5c0f\u4e0d\u4e00\u7684\u8ab2\u672c\u3001\u925b\u7b46\u76d2\u3001\u6c34\u58fa\uff0c\u548c\u4e00\u500b\u5c0f\u66f8\u5305\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>2. \u58de\u7684\u6f14\u7b97\u6cd5\uff08\u96a8\u4fbf\u585e\uff09\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\"><strong>\u8001\u5e2b<\/strong>\uff1a\u300c\u8acb\u4f60\u9589\u8457\u773c\u775b\uff0c\u96a8\u4fbf\u6293\u4e00\u6a23\u6771\u897f\u5c31\u5f80\u66f8\u5305\u4e1f\uff0c\u76f4\u5230\u585e\u6eff\u70ba\u6b62\u3002\u300d<\/li>\n\n\n\n<li class=\"\"><strong>\u7d50\u679c<\/strong>\uff1a\u6771\u897f\u4e82\u4e03\u516b\u7cdf\uff0c\u7a7a\u9593\u6d6a\u8cbb\uff0c\u6700\u5f8c\u6c34\u58fa\u585e\u4e0d\u9032\u53bb\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"\"><strong>3. \u597d\u7684\u6f14\u7b97\u6cd5\uff08\u8caa\u5a6a\u6f14\u7b97\u6cd5\/\u5206\u985e\u6cd5\uff09\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"\"><strong>\u8001\u5e2b<\/strong>\uff1a\u300c\u5982\u679c\u6211\u5011\u5148\u628a\u300e\u6700\u5927\u7684\u300f\u653e\u9032\u53bb\uff0c\u518d\u653e\u300e\u5c0f\u7684\u300f\u585e\u7e2b\u9699\uff0c\u8a66\u8a66\u770b\uff1f\u300d<\/li>\n\n\n\n<li class=\"\"><strong>\u7d50\u679c<\/strong>\uff1a\u5168\u90e8\u90fd\u585e\u9032\u53bb\u4e86\uff0c\u800c\u4e14\u5f88\u6574\u9f4a\u3002<\/li>\n\n\n\n<li class=\"\"><strong>\u7e3d\u7d50<\/strong>\uff1a\u300c\u96d6\u7136\u90fd\u662f\u300e\u88dd\u66f8\u5305\u300f\uff0c\u4f46\u4f60\u7684\u65b9\u6cd5\uff08\u6f14\u7b97\u6cd5\uff09\u6bd4\u8f03\u8070\u660e\uff0c\u5c31\u80fd\u88dd\u66f4\u591a\u6771\u897f\u3002Google \u4e5f\u662f\u9019\u6a23\uff0c\u5b83\u7528\u8070\u660e\u7684\u6f14\u7b97\u6cd5\u5e6b\u4f60\u5728\u5e7e\u5104\u500b\u7db2\u9801\u88e1\uff0c\u5728 0.1 \u79d2\u5167\u627e\u5230\u4f60\u8981\u7684\u8cc7\u6599\u3002\u300d<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b2c\u4e09\u968e\u6bb5\uff1a\u6f14\u7b97\u6cd5\u7684\u6545\u4e8b (The History)<\/h3>\n\n\n\n<p class=\"\">\u7b49\u5230\u5b69\u5b50\u5c0d\u300c\u6b65\u9a5f\u300d\u6709\u611f\u89ba\u4e86\uff0c\u6211\u5011\u518d\u4f86\u8b1b\u6545\u4e8b\u3002<\/p>\n\n\n\n<p class=\"\">\u6211\u5011\u6bcf\u5929\u5728\u6578\u5b78\u548c\u96fb\u8166\u79d1\u5b78\u4e2d\u983b\u7e41\u4f7f\u7528\u7684\u8a5e\u5f59\u2014\u2014<strong>\u300c\u6f14\u7b97\u6cd5\u300d\uff08Algorithm\uff09<\/strong>\uff0c\u5b83\u7684\u540d\u5b57\u7a76\u7adf\u662f\u5f9e\u4f55\u800c\u4f86\u7684\u5462\uff1f\u8b93\u6211\u5011\u4e00\u8d77\u56de\u5230\u6b77\u53f2\u7684\u9577\u6cb3\u4e2d\uff0c\u63a2\u7a76\u9019\u500b\u6982\u5ff5\u7684\u77e5\u8b58\u5efa\u69cb\u904e\u7a0b\u3002<\/p>\n\n\n\n<p class=\"\">\u8ffd\u6eaf\u300c\u6f14\u7b97\u6cd5\u300d\u7684\u6839\u6e90\uff0c\u6211\u5011\u5fc5\u9808\u8a8d\u8b58\u4e00\u4f4d\u91cd\u8981\u7684\u6b77\u53f2\u4eba\u7269\uff1a<strong>\u7a46\u7f55\u9ed8\u5fb7\u2022\u4f0a\u672c \u2022\u7a46\u85a9\u2022\u82b1\u62c9\u5b50\u7c73<\/strong>\uff08Mohammed ibnMusa Al-Khowarizmi\u2014Mohammed\uff09\u3002\u9019\u4f4d\u5b78\u8005\uff0c\u4e5f\u5c31\u662f\u300c\u6469\u897f\u7684\u5152\u5b50\uff0c\u82b1\u523a\u5b50\u6a21\u4eba\u300d\uff0c\u5927\u7d04\u5728\u897f\u5143 800 \u5e74\u5de6\u53f3\uff0c\u52a0\u5165\u4e86\u7576\u6642\u4f4d\u65bc<strong>\u5df4\u683c\u9054<\/strong>\u3001\u88ab\u8b7d\u70ba\u77e5\u8b58\u6bbf\u5802\u7684\u300c\u667a\u6167\u4e4b\u5c4b\u300d\uff08House of Wisdom\uff09\u9019\u500b\u5b78\u8853\u4e2d\u5fc3\u3002<\/p>\n\n\n\n<p class=\"\">\u90a3\u9ebc\uff0c\u82b1\u62c9\u5b50\u7c73\u7a76\u7adf\u505a\u4e86\u4ec0\u9ebc\uff0c\u8b93\u4ed6\u7684\u540d\u5b57\u8207\u73fe\u4ee3\u79d1\u5b78\u5982\u6b64\u7dca\u5bc6\u76f8\u9023\u5462\uff1f<\/p>\n\n\n\n<p class=\"\">\u4ed6\u7684\u4f5c\u54c1\u767c\u63ee\u4e86\u95dc\u9375\u6027\u7684\u6a4b\u6a11\u4f5c\u7528\u3002\u4ed6\u6210\u529f\u5730\u5c07\u539f\u672c\u5c6c\u65bc<strong>\u5370\u5ea6\u7684\u7b97\u6578\u85dd\u8853<\/strong>\uff0c\u50b3\u64ad\u5230\u4e86\u5ee3\u5927\u7684\u963f\u62c9\u4f2f\u5730\u5340\u3002\u6211\u5011\u53ef\u4ee5\u7406\u89e3\u70ba\uff0c\u4ed6\u958b\u555f\u4e86\u4e00\u689d\u91cd\u8981\u7684\u77e5\u8b58\u50b3\u64ad\u4e4b\u8def\u3002\u96a8\u5f8c\uff0c\u9019\u9805\u73cd\u8cb4\u7684\u7b97\u6578\u77e5\u8b58\u9032\u4e00\u6b65\u5730\u5f9e\u963f\u62c9\u4f2f\u50b3\u64ad\u5230\u4e86\u6b50\u6d32\u3002<\/p>\n\n\n\n<p class=\"\">\u77e5\u8b58\u5728\u7ffb\u8b6f\u548c\u50b3\u64ad\u7684\u904e\u7a0b\u4e2d\u6703\u7559\u4e0b\u5370\u8a18\u3002\u66f4\u6709\u8da3\u7684\u662f\uff0c\u7576\u82b1\u62c9\u5b50\u7c73\u7684\u4f5c\u54c1\u5728\u897f\u5143 1120 \u5e74\u88ab\u7ffb\u8b6f\u6210\u62c9\u4e01\u6587\u6642\uff0c\u8b6f\u672c\u958b\u982d\u7684\u7b2c\u4e00\u500b\u8a5e\u6b63\u662f\u300c<strong>Dixit Algorismi<\/strong>\u300d\u3002<\/p>\n\n\n\n<p class=\"\">\u4f60\u5011\u770b\uff0c\u6211\u5011\u4eca\u5929\u6240\u4f7f\u7528\u7684\u300cAlgorithm\u300d\u9019\u500b\u8a5e\uff0c\u6b63\u662f\u6e90\u81ea\u65bc\u9019\u500b\u62c9\u4e01\u6587\u958b\u982d\u7684\u8a5e\u5f59\u2014\u2014\u300c<strong>Algorismi<\/strong>\u300d\u3002\u9019\u63d0\u9192\u6211\u5011\uff0c\u4eca\u5929\u7684\u6578\u5b78\u548c\u8a08\u7b97\u6a5f\u79d1\u5b78\uff0c\u5176\u5be6\u662f\u5efa\u7acb\u5728\u5343\u5e74\u4ee5\u524d\u4e0d\u540c\u6587\u660e\uff08\u5982\u5370\u5ea6\u3001\u963f\u62c9\u4f2f\u3001\u6b50\u6d32\uff09\u76f8\u4e92\u4ea4\u6d41\u548c\u77e5\u8b58\u7d2f\u7a4d\u7684\u57fa\u790e\u4e4b\u4e0a\u3002\u6211\u5011\u5b78\u5230\u7684\u6bcf\u4e00\u500b\u8a5e\u5f59\uff0c\u80cc\u5f8c\u90fd\u96b1\u85cf\u8457\u4e00\u6bb5\u8c50\u5bcc\u7684\u6b77\u53f2\u6545\u4e8b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"434\" loading=\"lazy\" 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