{"id":947731,"date":"2024-12-26T23:54:17","date_gmt":"2024-12-26T15:54:17","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/947731.html"},"modified":"2024-12-26T23:54:20","modified_gmt":"2024-12-26T15:54:20","slug":"python%e5%a6%82%e4%bd%95%e7%8e%a9hanoi","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/947731.html","title":{"rendered":"python\u5982\u4f55\u73a9hanoi"},"content":{"rendered":"<p style=\"text-align:center;\" ><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/25083406\/67bc2599-2107-4b4f-851f-68bff4dcc6ed.webp\" alt=\"python\u5982\u4f55\u73a9hanoi\" \/><\/p>\n<p><p> <strong>\u8981\u5728Python\u4e2d\u73a9\u8f6c\u6c49\u8bfa\u5854\u95ee\u9898\uff0c\u53ef\u4ee5\u901a\u8fc7\u9012\u5f52\u3001\u7406\u89e3\u57fa\u672c\u89c4\u5219\u3001\u5b9e\u73b0\u7b97\u6cd5\u8fd9\u4e09\u4e2a\u6b65\u9aa4\u6765\u5b9e\u73b0\u3002<\/strong>\u5176\u4e2d\uff0c\u9012\u5f52\u662f\u89e3\u51b3\u6c49\u8bfa\u5854\u95ee\u9898\u7684\u5173\u952e\uff0c\u56e0\u4e3a\u5b83\u53ef\u4ee5\u5e2e\u52a9\u7b80\u5316\u95ee\u9898\uff0c\u5c06\u590d\u6742\u7684\u4efb\u52a1\u5206\u89e3\u4e3a\u66f4\u5c0f\u7684\u5b50\u95ee\u9898\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u8be6\u7ec6\u8ba8\u8bba\u6bcf\u4e2a\u6b65\u9aa4\u3002<\/p>\n<\/p>\n<p><p>\u4e00\u3001\u9012\u5f52\u7684\u57fa\u7840<\/p>\n<\/p>\n<p><p>\u6c49\u8bfa\u5854\u95ee\u9898\u7531\u4e09\u4e2a\u67f1\u5b50\u548c\u82e5\u5e72\u4e2a\u5927\u5c0f\u4e0d\u540c\u7684\u5706\u76d8\u7ec4\u6210\uff0c\u5706\u76d8\u6309\u5927\u5c0f\u987a\u5e8f\u81ea\u4e0a\u800c\u4e0b\u653e\u5728\u4e00\u4e2a\u67f1\u5b50\u4e0a\u3002\u76ee\u6807\u662f\u5c06\u8fd9\u4e9b\u5706\u76d8\u5168\u90e8\u79fb\u52a8\u5230\u53e6\u4e00\u4e2a\u67f1\u5b50\u4e0a\uff0c\u5e76\u9075\u5faa\u4ee5\u4e0b\u89c4\u5219\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u6bcf\u6b21\u53ea\u80fd\u79fb\u52a8\u4e00\u4e2a\u5706\u76d8\u3002<\/li>\n<li>\u5706\u76d8\u53ea\u80fd\u653e\u5728\u5176\u4ed6\u5706\u76d8\u4e4b\u4e0a\uff0c\u4e14\u5fc5\u987b\u662f\u8f83\u5c0f\u7684\u5706\u76d8\u653e\u5728\u8f83\u5927\u7684\u5706\u76d8\u4e0a\u9762\u3002<\/li>\n<\/ol>\n<p><p>\u9012\u5f52\u662f\u89e3\u51b3\u6c49\u8bfa\u5854\u95ee\u9898\u7684\u5173\u952e\uff0c\u56e0\u4e3a\u5b83\u53ef\u4ee5\u5e2e\u52a9\u5c06\u590d\u6742\u7684\u95ee\u9898\u5206\u89e3\u4e3a\u66f4\u5c0f\u7684\u5b50\u95ee\u9898\u3002\u901a\u8fc7\u9012\u5f52\uff0c\u6211\u4eec\u53ef\u4ee5\u7406\u89e3\u5982\u4f55\u5728\u4e09\u4e2a\u67f1\u5b50\u4e4b\u95f4\u79fb\u52a8\u5706\u76d8\u3002\u4ee5\u4e0b\u662f\u9012\u5f52\u89e3\u51b3\u65b9\u6848\u7684\u57fa\u672c\u6b65\u9aa4\uff1a<\/p>\n<\/p>\n<ul>\n<li>\u5c06n-1\u4e2a\u5706\u76d8\u4ece\u521d\u59cb\u67f1\u5b50\u79fb\u5230\u8f85\u52a9\u67f1\u5b50\u3002<\/li>\n<li>\u5c06\u7b2cn\u4e2a\u5706\u76d8\u4ece\u521d\u59cb\u67f1\u5b50\u79fb\u5230\u76ee\u6807\u67f1\u5b50\u3002<\/li>\n<li>\u5c06n-1\u4e2a\u5706\u76d8\u4ece\u8f85\u52a9\u67f1\u5b50\u79fb\u5230\u76ee\u6807\u67f1\u5b50\u3002<\/li>\n<\/ul>\n<p><p>\u5728Python\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5b9a\u4e49\u4e00\u4e2a\u9012\u5f52\u51fd\u6570\u6765\u5b9e\u73b0\u6c49\u8bfa\u5854\u95ee\u9898\u3002\u4e0b\u9762\u662f\u4e00\u4e2a\u7b80\u5355\u7684Python\u793a\u4f8b\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">def hanoi(n, source, target, auxiliary):<\/p>\n<p>    if n == 1:<\/p>\n<p>        print(f&quot;Move disk 1 from {source} to {target}&quot;)<\/p>\n<p>        return<\/p>\n<p>    hanoi(n - 1, source, auxiliary, target)<\/p>\n<p>    print(f&quot;Move disk {n} from {source} to {target}&quot;)<\/p>\n<p>    hanoi(n - 1, auxiliary, target, source)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u4e8c\u3001\u5b9e\u73b0\u6c49\u8bfa\u5854\u7b97\u6cd5<\/p>\n<\/p>\n<p><p>\u5728\u5b9e\u73b0\u6c49\u8bfa\u5854\u7b97\u6cd5\u65f6\uff0c\u6211\u4eec\u9700\u8981\u8003\u8651\u4ee5\u4e0b\u51e0\u4e2a\u65b9\u9762\uff1a<\/p>\n<\/p>\n<ol>\n<li><strong>\u8f93\u5165\u53c2\u6570<\/strong>\uff1a\u51fd\u6570\u901a\u5e38\u9700\u8981\u4e09\u4e2a\u53c2\u6570\uff1a\u5706\u76d8\u6570\u91cf\u3001\u8d77\u59cb\u67f1\u5b50\u3001\u76ee\u6807\u67f1\u5b50\u3001\u8f85\u52a9\u67f1\u5b50\u3002<\/li>\n<li><strong>\u9012\u5f52\u57fa\u51c6<\/strong>\uff1a\u9012\u5f52\u51fd\u6570\u7684\u7ec8\u6b62\u6761\u4ef6\u901a\u5e38\u662f\u5f53\u53ea\u6709\u4e00\u4e2a\u5706\u76d8\u9700\u8981\u79fb\u52a8\u65f6\u3002<\/li>\n<li><strong>\u9012\u5f52\u8c03\u7528<\/strong>\uff1a\u901a\u8fc7\u9012\u5f52\u8c03\u7528\u51fd\u6570\u81ea\u8eab\u6765\u89e3\u51b3\u5b50\u95ee\u9898\u3002<\/li>\n<\/ol>\n<p><p>\u5728\u5b9e\u73b0\u8fc7\u7a0b\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u9012\u5f52\u8c03\u7528\u5c06\u95ee\u9898\u62c6\u89e3\u4e3a\u66f4\u5c0f\u7684\u5b50\u95ee\u9898\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u5b8c\u6574\u7684Python\u5b9e\u73b0\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">def hanoi(n, source, target, auxiliary):<\/p>\n<p>    if n == 1:<\/p>\n<p>        print(f&quot;Move disk 1 from {source} to {target}&quot;)<\/p>\n<p>        return<\/p>\n<p>    hanoi(n - 1, source, auxiliary, target)<\/p>\n<p>    print(f&quot;Move disk {n} from {source} to {target}&quot;)<\/p>\n<p>    hanoi(n - 1, auxiliary, target, source)<\/p>\n<h2><strong>\u8c03\u7528\u51fd\u6570\u5e76\u8f93\u51fa\u7ed3\u679c<\/strong><\/h2>\n<p>n_disks = 3<\/p>\n<p>hanoi(n_disks, &#39;A&#39;, &#39;C&#39;, &#39;B&#39;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u5b9e\u73b0\u4e2d\uff0c\u6211\u4eec\u9996\u5148\u68c0\u67e5\u9012\u5f52\u57fa\u51c6\uff0c\u5373\u5f53\u53ea\u6709\u4e00\u4e2a\u5706\u76d8\u65f6\uff0c\u76f4\u63a5\u5c06\u5176\u4ece\u6e90\u67f1\u79fb\u52a8\u5230\u76ee\u6807\u67f1\u3002\u7136\u540e\uff0c\u901a\u8fc7\u9012\u5f52\u8c03\u7528\u51fd\u6570\u81ea\u8eab\u6765\u79fb\u52a8\u5176\u4f59\u7684\u5706\u76d8\u3002<\/p>\n<\/p>\n<p><p>\u4e09\u3001\u4f18\u5316\u548c\u6269\u5c55<\/p>\n<\/p>\n<p><p>\u6c49\u8bfa\u5854\u95ee\u9898\u7684\u57fa\u672c\u5b9e\u73b0\u76f8\u5bf9\u7b80\u5355\uff0c\u4f46\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u53ef\u80fd\u9700\u8981\u8fdb\u884c\u4e00\u4e9b\u4f18\u5316\u548c\u6269\u5c55\u3002\u4f8b\u5982\uff1a<\/p>\n<\/p>\n<ol>\n<li><strong>\u53ef\u89c6\u5316<\/strong>\uff1a\u53ef\u4ee5\u901a\u8fc7\u56fe\u5f62\u754c\u9762\u6216\u52a8\u753b\u6765\u5c55\u793a\u6c49\u8bfa\u5854\u7684\u79fb\u52a8\u8fc7\u7a0b\uff0c\u4ee5\u4fbf\u66f4\u76f4\u89c2\u5730\u7406\u89e3\u7b97\u6cd5\u3002<\/li>\n<li><strong>\u6027\u80fd\u4f18\u5316<\/strong>\uff1a\u5728\u5904\u7406\u5927\u91cf\u5706\u76d8\u65f6\uff0c\u53ef\u80fd\u9700\u8981\u8003\u8651\u7b97\u6cd5\u7684\u6027\u80fd\u548c\u6548\u7387\uff0c\u7279\u522b\u662f\u5728\u786c\u4ef6\u8d44\u6e90\u6709\u9650\u7684\u60c5\u51b5\u4e0b\u3002<\/li>\n<li><strong>\u591a\u7ebf\u7a0b<\/strong>\uff1a\u5982\u679c\u9700\u8981\u5e76\u884c\u5904\u7406\u591a\u4e2a\u6c49\u8bfa\u5854\u95ee\u9898\uff0c\u53ef\u4ee5\u8003\u8651\u4f7f\u7528\u591a\u7ebf\u7a0b\u6216\u5f02\u6b65\u7f16\u7a0b\u6280\u672f\u3002<\/li>\n<li><strong>\u53d8\u4f53\u95ee\u9898<\/strong>\uff1a\u6c49\u8bfa\u5854\u95ee\u9898\u6709\u5f88\u591a\u53d8\u4f53\uff0c\u5982\u56db\u67f1\u6c49\u8bfa\u5854\u7b49\uff0c\u53ef\u4ee5\u5c1d\u8bd5\u89e3\u51b3\u8fd9\u4e9b\u53d8\u4f53\u95ee\u9898\u3002<\/li>\n<\/ol>\n<p><p>\u56db\u3001\u6c49\u8bfa\u5854\u95ee\u9898\u7684\u590d\u6742\u5ea6\u5206\u6790<\/p>\n<\/p>\n<p><p>\u6c49\u8bfa\u5854\u95ee\u9898\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662fO(2^n)\uff0c\u5176\u4e2dn\u662f\u5706\u76d8\u7684\u6570\u91cf\u3002\u6bcf\u6b21\u9012\u5f52\u8c03\u7528\u90fd\u4f1a\u5206\u89e3\u4e3a\u4e24\u4e2a\u5b50\u95ee\u9898\uff0c\u56e0\u6b64\u7b97\u6cd5\u7684\u590d\u6742\u5ea6\u5448\u6307\u6570\u589e\u957f\u3002\u8fd9\u610f\u5473\u7740\u5bf9\u4e8e\u8f83\u5927\u7684n\uff0c\u7b97\u6cd5\u7684\u8ba1\u7b97\u91cf\u5c06\u8fc5\u901f\u589e\u52a0\u3002<\/p>\n<\/p>\n<p><p>\u4e94\u3001\u6c49\u8bfa\u5854\u95ee\u9898\u7684\u5e94\u7528<\/p>\n<\/p>\n<p><p>\u6c49\u8bfa\u5854\u95ee\u9898\u4e0d\u4ec5\u4ec5\u662f\u4e00\u4e2a\u6570\u5b66\u6e38\u620f\uff0c\u5b83\u8fd8\u5728\u8ba1\u7b97\u673a\u79d1\u5b66\u548c\u7b97\u6cd5\u8bbe\u8ba1\u4e2d\u5177\u6709\u91cd\u8981\u7684\u5e94\u7528\u3002\u4f8b\u5982\uff0c\u5b83\u53ef\u4ee5\u7528\u6765\u89e3\u91ca\u9012\u5f52\u7684\u57fa\u672c\u6982\u5ff5\uff0c\u5e2e\u52a9\u5b66\u4e60\u8005\u7406\u89e3\u9012\u5f52\u7684\u5de5\u4f5c\u539f\u7406\u3002\u6b64\u5916\uff0c\u6c49\u8bfa\u5854\u95ee\u9898\u8fd8\u53ef\u4ee5\u7528\u4e8e\u6d4b\u8bd5\u9012\u5f52\u51fd\u6570\u7684\u6027\u80fd\u548c\u6548\u7387\u3002<\/p>\n<\/p>\n<p><p>\u516d\u3001\u603b\u7ed3<\/p>\n<\/p>\n<p><p>\u6c49\u8bfa\u5854\u95ee\u9898\u662f\u4e00\u4e2a\u7ecf\u5178\u7684\u9012\u5f52\u95ee\u9898\uff0c\u901a\u8fc7Python\u7f16\u7a0b\u53ef\u4ee5\u8f7b\u677e\u89e3\u51b3\u3002\u901a\u8fc7\u7406\u89e3\u9012\u5f52\u7684\u57fa\u672c\u6982\u5ff5\u548c\u5b9e\u73b0\u9012\u5f52\u7b97\u6cd5\uff0c\u6211\u4eec\u53ef\u4ee5\u6709\u6548\u5730\u89e3\u51b3\u6c49\u8bfa\u5854\u95ee\u9898\uff0c\u5e76\u5c06\u5176\u5e94\u7528\u4e8e\u5176\u4ed6\u9012\u5f52\u95ee\u9898\u4e2d\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u53ef\u4ee5\u8003\u8651\u5bf9\u7b97\u6cd5\u8fdb\u884c\u4f18\u5316\u548c\u6269\u5c55\uff0c\u4ee5\u63d0\u9ad8\u5176\u6027\u80fd\u548c\u53ef\u7528\u6027\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p> <strong>\u5982\u4f55\u4f7f\u7528Python\u5b9e\u73b0\u6c49\u8bfa\u5854\u6e38\u620f\u7684\u7b97\u6cd5\uff1f<\/strong><br \/>\u5728Python\u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528\u9012\u5f52\u7b97\u6cd5\u6765\u5b9e\u73b0\u6c49\u8bfa\u5854\u6e38\u620f\u3002\u57fa\u672c\u601d\u8def\u662f\u5c06n\u4e2a\u76d8\u5b50\u4ece\u6e90\u67f1\u79fb\u52a8\u5230\u76ee\u6807\u67f1\uff0c\u501f\u52a9\u8f85\u52a9\u67f1\u3002\u5177\u4f53\u6b65\u9aa4\u5305\u62ec\uff1a  <\/p>\n<ol>\n<li>\u5c06n-1\u4e2a\u76d8\u5b50\u4ece\u6e90\u67f1\u79fb\u52a8\u5230\u8f85\u52a9\u67f1\u3002  <\/li>\n<li>\u5c06\u7b2cn\u4e2a\u76d8\u5b50\u4ece\u6e90\u67f1\u79fb\u52a8\u5230\u76ee\u6807\u67f1\u3002  <\/li>\n<li>\u5c06n-1\u4e2a\u76d8\u5b50\u4ece\u8f85\u52a9\u67f1\u79fb\u52a8\u5230\u76ee\u6807\u67f1\u3002<br 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