{"id":263930,"date":"2024-05-15T15:22:06","date_gmt":"2024-05-15T07:22:06","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/263930.html"},"modified":"2024-05-15T15:22:13","modified_gmt":"2024-05-15T07:22:13","slug":"%e6%97%b6%e9%97%b4%e5%a4%8d%e6%9d%82%e5%ba%a6%e4%b8%ba%e6%8c%87%e6%95%b0%e7%9a%84%e4%bb%a3%e7%a0%81%e6%9c%89%e5%93%aa%e4%ba%9b","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/263930.html","title":{"rendered":"\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a\u6307\u6570\u7684\u4ee3\u7801\u6709\u54ea\u4e9b"},"content":{"rendered":"<p style=\"text-align:center\"><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/27124325\/49e43c3c-0f08-40ab-bd34-89e31e87285e.webp\" alt=\"\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a\u6307\u6570\u7684\u4ee3\u7801\u6709\u54ea\u4e9b\" \/><\/p>\n<p><p>\u6307\u6570\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u4ee3\u7801\u901a\u5e38\u662f\u90a3\u4e9b\u968f\u7740\u8f93\u5165\u5927\u5c0f\u7684\u589e\u52a0\u800c\u8017\u65f6\u6025\u5267\u4e0a\u5347\u7684\u7b97\u6cd5\u3002\u8fd9\u4e9b\u4ee3\u7801\u7684\u8fd0\u884c\u65f6\u95f4\u53ef\u80fd\u4f1a\u968f\u7740\u8f93\u5165\u5927\u5c0f\u7684\u6bcf\u6b21\u589e\u52a0\u800c\u7ffb\u500d\u3002\u7ecf\u5178\u4f8b\u5b50\u5305\u62ec<strong>\u9012\u5f52\u8ba1\u7b97\u6590\u6ce2\u90a3\u5951\u6570\u5217\u3001\u65c5\u884c\u63a8\u9500\u5458\u95ee\u9898\u7684\u66b4\u529b\u6c42\u89e3\u7b97\u6cd5\u3001\u6c49\u8bfa\u5854\u95ee\u9898\u3001\u51b3\u7b56\u6811\u95ee\u9898\u3001NP\u5b8c\u5168\u95ee\u9898\u7684\u66b4\u529b\u6c42\u89e3<\/strong>\u7b49\u3002<\/p>\n<\/p>\n<p><p>\u4ee5\u9012\u5f52\u8ba1\u7b97\u6590\u6ce2\u90a3\u5951\u6570\u5217\u4e3a\u4f8b\uff0c\u8fd9\u7c7b\u7b97\u6cd5\u4e4b\u6240\u4ee5\u5177\u6709\u6307\u6570\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u662f\u56e0\u4e3a\u6bcf\u589e\u52a0\u4e00\u4e2a\u6570\u5217\u9879\uff0c\u8ba1\u7b97\u6240\u9700\u65f6\u95f4\u51e0\u4e4e\u5448\u6307\u6570\u589e\u957f\u3002\u9012\u5f52\u65b9\u6cd5\u4e2d\u6bcf\u4e2a\u6570\u7684\u8ba1\u7b97\u90fd\u4f9d\u8d56\u4e8e\u524d\u4e24\u4e2a\u6570\uff0c\u4f46\u8fd9\u6837\u7684\u8ba1\u7b97\u8fc7\u7a0b\u6ca1\u6709\u4fdd\u5b58\u8ba1\u7b97\u7ed3\u679c\uff0c\u5bfc\u81f4\u5927\u91cf\u91cd\u590d\u8ba1\u7b97\uff0c\u4f7f\u5f97\u8ba1\u7b97\u8017\u8d39\u7684\u65f6\u95f4\u968f\u7740\u6570\u5217\u9879\u7684\u589e\u52a0\u5448\u6307\u6570\u7ea7\u522b\u589e\u957f\u3002<\/p>\n<\/p>\n<p><h3>\u4e00\u3001\u9012\u5f52\u8ba1\u7b97\u6590\u6ce2\u90a3\u5951\u6570\u5217<\/h3>\n<\/p>\n<p><p>\u6590\u6ce2\u90a3\u5951\u6570\u5217\u662f\u4e00\u4e2a\u7ecf\u5178\u7684\u793a\u4f8b\uff0c\u8868\u8fbe\u5f0f\u4e3a F(n) = F(n-1) + F(n-2)\uff0c\u5e76\u4e14F(0) = 0 \u4e14 F(1) = 1\u3002\u5f53\u6211\u4eec\u4f7f\u7528\u7b80\u5355\u7684\u9012\u5f52\u7b97\u6cd5\u6765\u5b9e\u73b0\u65f6\uff0c\u4f1a\u53d1\u73b0\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(2^n)\u3002\u5c3d\u7ba1\u5b58\u5728\u52a8\u6001\u89c4\u5212\u7b49\u4f18\u5316\u65b9\u6cd5\uff0c\u4f46\u7eaf\u9012\u5f52\u65b9\u6cd5\u662f\u6307\u6570\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u3002<\/p>\n<\/p>\n<p><p>\u76f4\u63a5\u9012\u5f52\u5b9e\u73b0\u7684\u95ee\u9898\u5728\u4e8e\uff0c\u5b83\u4e0d\u8bb0\u5f55\u4e4b\u524d\u7684\u8ba1\u7b97\u7ed3\u679c\uff0c\u5e76\u4e14\u4e3a\u8ba1\u7b97F(n)\uff0c\u5b83\u9700\u8981\u8ba1\u7b97F(n-1)\u548cF(n-2)\uff0c\u800c\u8fd9\u4e24\u4e2a\u8ba1\u7b97\u53c8\u90fd\u9700\u8981\u8ba1\u7b97F(n-2)\u548cF(n-3)\uff0c\u5982\u6b64\u7c7b\u63a8\u3002\u56e0\u6b64\uff0c\u7b80\u5355\u9012\u5f52\u7b97\u6cd5\u4e2d\u5b58\u5728\u5927\u91cf\u7684\u91cd\u590d\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<p><h3>\u4e8c\u3001\u65c5\u884c\u63a8\u9500\u5458\u95ee\u9898\u7684\u66b4\u529b\u6c42\u89e3\u7b97\u6cd5<\/h3>\n<\/p>\n<p><p>\u65c5\u884c\u63a8\u9500\u5458\u95ee\u9898\uff08TSP\uff09\u662f\u5bfb\u627e\u6700\u77ed\u53ef\u80fd\u7684\u8def\u7ebf\u6765\u8bbf\u95ee\u4e00\u7cfb\u5217\u57ce\u5e02\u5e76\u56de\u5230\u539f\u70b9\u7684\u95ee\u9898\u3002\u5c1d\u8bd5\u66b4\u529b\u89e3\u51b3TSP\u901a\u5e38\u6d89\u53ca\u5230\u68c0\u67e5\u6240\u6709\u53ef\u80fd\u7684\u8def\u5f84\u7ec4\u5408\uff0c\u5176\u6570\u91cf\u968f\u57ce\u5e02\u6570\u91cf\u7684\u589e\u52a0\u5448\u9636\u4e58\u5f0f\u589e\u957f\u3002\u8fd9\u610f\u5473\u7740\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n!)\uff0c\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u4e0d\u5207\u5b9e\u9645\u7684\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u56e0\u4e3a\u5373\u4f7f\u5bf9\u4e8e\u76f8\u5bf9\u5c0f\u7684\u8f93\u5165\u5927\u5c0f\uff0c\u6240\u9700\u7684\u8ba1\u7b97\u65f6\u95f4\u4e5f\u975e\u5e38\u957f\u3002<\/p>\n<\/p>\n<p><p>\u5bf9\u4e8e\u8fd9\u4e2a\u95ee\u9898\u7684\u66b4\u529b\u6c42\u89e3\uff0c\u5c31\u662f\u5c1d\u8bd5\u6bcf\u4e00\u79cd\u53ef\u80fd\u7684\u57ce\u5e02\u6392\u5217\u7ec4\u5408\uff0c\u7136\u540e\u8ba1\u7b97\u603b\u7684\u65c5\u884c\u8ddd\u79bb\u3002\u56e0\u4e3a\u57ce\u5e02\u95f4\u7684\u6392\u5217\u6709 n! 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