{"id":50661,"date":"2024-01-13T07:51:57","date_gmt":"2024-01-16T14:13:24","guid":{"rendered":"https:\/\/www.silicloud.com\/zh\/blog\/%e6%b1%89%e8%af%ba%e5%a1%94-java-%e4%b8%ad%e7%9a%84%e7%ae%97%e6%b3%95%e5%92%8c%e5%ae%9e%e7%8e%b0\/"},"modified":"2024-05-04T18:11:33","modified_gmt":"2024-05-04T10:11:33","slug":"%e6%b1%89%e8%af%ba%e5%a1%94-java-%e4%b8%ad%e7%9a%84%e7%ae%97%e6%b3%95%e5%92%8c%e5%ae%9e%e7%8e%b0","status":"publish","type":"post","link":"https:\/\/www.silicloud.com\/zh\/blog\/%e6%b1%89%e8%af%ba%e5%a1%94-java-%e4%b8%ad%e7%9a%84%e7%ae%97%e6%b3%95%e5%92%8c%e5%ae%9e%e7%8e%b0\/","title":{"rendered":"\u6c49\u8bfa\u5854 &#8211; Java \u4e2d\u7684\u7b97\u6cd5\u548c\u5b9e\u73b0"},"content":{"rendered":"<p>\u6c49\u8bfa\u5854\u662f\u7f16\u7a0b\u4e16\u754c\u4e2d\u7684\u7ecf\u5178\u95ee\u9898\u3002\u95ee\u9898\u7684\u8bbe\u7f6e\u5305\u62ec\u4e09\u6839\u6746\u5b50\/\u6869\u548cn\u4e2a\u76d8\u5b50\u3002<\/p>\n<p>\u53ef\u4ee5\u5c06\u76d8\u5b50\u4ece\u4e00\u4e2a\u9488\u4e0a\u79fb\u52a8\u5230\u53e6\u4e00\u4e2a\u9488\u4e0a\u3002\u8fd9 n \u4e2a\u76d8\u5b50\u7684\u5927\u5c0f\u90fd\u4e0d\u540c\u3002<\/p>\n<p>\u6700\u521d\u6240\u6709\u7684\u5706\u76d8\u90fd\u53e0\u5728\u7b2c\u4e00\u5ea7\u5854\u4e0a\uff0c\u5706\u76d8\u7684\u53e0\u653e\u65b9\u5f0f\u662f\u59cb\u7ec8\u8981\u653e\u5728\u6bd4\u81ea\u5df1\u5927\u7684\u5706\u76d8\u4e4b\u4e0a\u3002<\/p>\n<h2>\u6c49\u8bfa\u5854\u7684\u9ed8\u8ba4\u8bbe\u7f6e<\/h2>\n<div><img decoding=\"async\" class=\"post-images\" title=\"\" src=\"https:\/\/cdn.silicloud.com\/blog-img\/blog\/img\/65647413a4b2f92e6c729657\/4-0.png\" alt=\"Tower of Hanoi setup \" \/><\/div>\n<p>\u6709\u8da3\u7684\u4e8b\u5b9e\uff1a\u8fd9\u4e2a\u6e38\u620f\u662f\u753119\u4e16\u7eaa\u7684\u6cd5\u56fd\u6570\u5b66\u5bb6\u57c3\u5fb7\u534e\u00b7\u5362\u5361\u65af\u53d1\u660e\u7684\u3002\u5b83\u4e0e\u4e00\u5ea7\u5370\u5ea6\u6559\u5bfa\u5e99\u7684\u4f20\u8bf4\u76f8\u5173\uff0c\u636e\u79f0\u8fd9\u4e2a\u8c1c\u9898\u88ab\u7528\u6765\u589e\u5f3a\u5e74\u8f7b\u50e7\u4fa3\u7684\u5fc3\u7406\u7eaa\u5f8b\u80fd\u529b\u3002<\/p>\n<h3>\u95ee\u9898\u9648\u8ff0<\/h3>\n<pre class=\"post-pre\"><code>Move all the disks stacked on the first tower over to the last tower using a helper tower in the middle. While moving the disks, certain rules must be followed. These are : \r\n\r\n1. Only one disk can be moved.\r\n\r\n2. A larger disk can not be placed on a smaller disk.\r\n<\/code><\/pre>\n<p>\u6240\u4ee5\u4f60\u9700\u8981\u628a\u6240\u6709\u7684\u76d8\u5b50\u4ece\u7b2c\u4e00\u5ea7\u5854\u79fb\u52a8\u5230\u6700\u540e\u4e00\u5ea7\u5854\u4e0a\u3002\u4f60\u6bcf\u6b21\u53ea\u80fd\u79fb\u52a8\u4e00\u4e2a\u76d8\u5b50\uff0c\u5e76\u4e14\u4e0d\u80fd\u628a\u8f83\u5c0f\u7684\u76d8\u5b50\u653e\u5728\u8f83\u5927\u7684\u76d8\u5b50\u4e0a\u3002<\/p>\n<p>\u4e3a\u4e86\u505a\u5230\u8fd9\u4e00\u70b9\uff0c\u60a8\u9700\u8981\u989d\u5916\u7684\u5854\u697c\uff0c\u5b83\u88ab\u79f0\u4e3a\u8f85\u52a9\u5854\u697c\u3002<\/p>\n<p>\u7531\u4e8e\u6bcf\u6b21\u53ea\u80fd\u79fb\u52a8\u4e00\u4e2a\u76d8\u5b50\uff0c\u6240\u4ee5\u4f60\u79fb\u52a8\u7684\u76d8\u5b50\u5fc5\u987b\u4f4d\u4e8e\u5176\u6240\u5728\u5854\u7684\u9876\u90e8\u3002<\/p>\n<h3>\u6c49\u8bfa\u5854\u95ee\u9898\u7684\u7406\u8bba\u89e3\u51b3\u65b9\u6848<\/h3>\n<p>\u8ba9\u6211\u4eec\u628a\u5854\u547d\u540d\u4e3aA\u3001B\u3001C\uff0c\u5c06\u5706\u76d8\u79f0\u4e3a1\u30012\u30013\u3002<\/p>\n<div><img decoding=\"async\" class=\"post-images\" title=\"\" src=\"https:\/\/cdn.silicloud.com\/blog-img\/blog\/img\/65647413a4b2f92e6c729657\/13-0.png\" alt=\"Tower of Hanoi \" \/><\/div>\n<p>\u6211\u4eec\u4f7f\u7528\u7b80\u5355\u7684\u9012\u5f52\u6765\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u3002\u8981\u5c06\u8fd9\u4e09\u4e2a\u76d8\u5b50\u79fb\u5230\u6700\u540e\u4e00\u4e2a\u5854\u4e0a\uff0c\u4f60\u9700\u8981\uff1a<\/p>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol>\u5c061\u53f7\u548c2\u53f7\u789f\u5b50\u5e26\u5230B\u5854\u3002<\/ol>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol>\u5c063\u53f7\u789f\u5b50\u79fb\u5230C\u5854\u3002<\/ol>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol>\u5c061\u53f7\u548c2\u53f7\u789f\u5b50\u4eceB\u5854\u79fb\u5230C\u5854\u3002<\/ol>\n<p>\u5f53\u7136\uff0c\u7531\u4e8e\u9650\u5236\uff0c\u5728\u8fd9\u79cd\u65b9\u5f0f\u4e0b\u4f60\u4e0d\u80fd\u8fd9\u6837\u505a\u3002\u7136\u800c\uff0c\u6211\u4eec\u53ef\u4ee5\u5229\u7528\u8fd9\u4e2a\u6765\u521b\u5efa\u4e00\u4e2a\u53ef\u4ee5\u9012\u5f52\u6267\u884c\u7684\u51fd\u6570\u3002<\/p>\n<div><img decoding=\"async\" class=\"post-images\" title=\"\" src=\"https:\/\/cdn.silicloud.com\/blog-img\/blog\/img\/65647413a4b2f92e6c729657\/17-0.png\" alt=\"TOH 1\" \/><\/div>\n<p>\u5728\u6211\u4eec\u7f16\u5199\u7684\u51fd\u6570\u4e2d\uff0c\u6211\u4eec\u5c06\u6253\u5370\u51fa\u76d8\u5b50\u7684\u79fb\u52a8\u3002<\/p>\n<h2>\u7528Java\u5b9e\u73b0\u6c49\u8bfa\u5854\u95ee\u9898\u7684\u89e3\u51b3\u65b9\u6848<\/h2>\n<p>\u8ba9\u6211\u4eec\u4ece\u4e86\u89e3\u89e3\u51b3\u6c49\u8bfa\u5854\u95ee\u9898\u6240\u9700\u7684\u4ee3\u7801\u7684\u4e24\u4e2a\u4e3b\u8981\u90e8\u5206\u5f00\u59cb\u3002<\/p>\n<h3>\u57fa\u672c\u60c5\u51b5<\/h3>\n<p>\u6211\u4eec\u4ee3\u7801\u4e2d\u7684\u57fa\u672c\u60c5\u51b5\u662f\u5f53\u6211\u4eec\u53ea\u6709\u4e00\u4e2a\u78c1\u76d8\u65f6\uff0c\u5373n=1\u3002<\/p>\n<pre class=\"post-pre\"><code> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>n <span class=\"token operator\">==<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\r\n        <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"Take disk 1 from rod \"<\/span> <span class=\"token operator\">+<\/span>  from_rod <span class=\"token operator\">+<\/span> <span class=\"token string\">\" to rod \"<\/span> <span class=\"token operator\">+<\/span> to_rod<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<h3>2. \u9012\u5f52\u8c03\u7528<\/h3>\n<p>\u6c49\u8bfa\u5854\u95ee\u9898\u7684\u9012\u5f52\u8c03\u7528\u5982\u4e0b\uff1a<\/p>\n<pre class=\"post-pre\"><code> <span class=\"token function\">towerOfHanoi<\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> from_rod<span class=\"token punctuation\">,<\/span> helper_rod<span class=\"token punctuation\">,<\/span> to_rod<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"Take disk \"<\/span> <span class=\"token operator\">+<\/span> n <span class=\"token operator\">+<\/span> <span class=\"token string\">\" from rod \"<\/span> <span class=\"token operator\">+<\/span>  from_rod <span class=\"token operator\">+<\/span> <span class=\"token string\">\" to rod \"<\/span> <span class=\"token operator\">+<\/span> to_rod<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token function\">towerOfHanoi<\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> helper_rod<span class=\"token punctuation\">,<\/span> to_rod<span class=\"token punctuation\">,<\/span> from_rod<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<p>\u8fd9\u4e9b\u4e0e\u4ee5\u4e0b\u76f8\u7b49\uff1a<\/p>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol>\u5c06\u524dn-1\u4e2a\u76d8\u5b50\u79fb\u5230\u8f85\u52a9\u5854\u4e0a\u3002<\/ol>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol>\u5c06\u6e90\u6746\u4e0a\u7684\u4e00\u4e2a\u76d8\u5b50\u79fb\u5230\u76ee\u6807\u6746\u4e0a\u3002<\/ol>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol>\u5c06\u8f85\u52a9\u6746\u4e0a\u7684n-1\u4e2a\u76d8\u5b50\u79fb\u5230\u76ee\u6807\u6746\u4e0a\u3002<\/ol>\n<h3>\u300a\u6c49\u8bfa\u5854\u6e38\u620f\u300b\u7684\u5b8c\u6574Java\u5b9e\u73b0<\/h3>\n<pre class=\"post-pre\"><code><span class=\"token keyword\">package<\/span> <span class=\"token namespace\">com<span class=\"token punctuation\">.<\/span><\/span><span class=\"token class-name\">JournalDev<\/span><span class=\"token punctuation\">;<\/span>\r\n<span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Main<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">towerOfHanoi<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">char<\/span> from_rod<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">char<\/span> to_rod<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">char<\/span> helper_rod<span class=\"token punctuation\">)<\/span>\r\n    <span class=\"token punctuation\">{<\/span>\r\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>n <span class=\"token operator\">==<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\r\n        <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"Take disk 1 from rod \"<\/span> <span class=\"token operator\">+<\/span>  from_rod <span class=\"token operator\">+<\/span> <span class=\"token string\">\" to rod \"<\/span> <span class=\"token operator\">+<\/span> to_rod<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n            <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token punctuation\">}<\/span>\r\n        <span class=\"token function\">towerOfHanoi<\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> from_rod<span class=\"token punctuation\">,<\/span> helper_rod<span class=\"token punctuation\">,<\/span> to_rod<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token class-name\">System<\/span><span class=\"token punctuation\">.<\/span>out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"Take disk \"<\/span> <span class=\"token operator\">+<\/span> n <span class=\"token operator\">+<\/span> <span class=\"token string\">\" from rod \"<\/span> <span class=\"token operator\">+<\/span>  from_rod <span class=\"token operator\">+<\/span> <span class=\"token string\">\" to rod \"<\/span> <span class=\"token operator\">+<\/span> to_rod<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token function\">towerOfHanoi<\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> helper_rod<span class=\"token punctuation\">,<\/span> to_rod<span class=\"token punctuation\">,<\/span> from_rod<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token punctuation\">}<\/span>\r\n\r\n    <span class=\"token keyword\">public<\/span> <span class=\"token keyword\">static<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token class-name\">String<\/span> args<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\r\n    <span class=\"token punctuation\">{<\/span>\r\n        <span class=\"token keyword\">int<\/span> n <span class=\"token operator\">=<\/span> <span class=\"token number\">5<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token function\">towerOfHanoi<\/span><span class=\"token punctuation\">(<\/span>n<span class=\"token punctuation\">,<\/span><span class=\"token char\">'A'<\/span><span class=\"token punctuation\">,<\/span><span class=\"token char\">'C'<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token char\">'B'<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token punctuation\">}<\/span>\r\n\r\n<span class=\"token punctuation\">}<\/span> \r\n\r\n<\/code><\/pre>\n<p>\u4ee3\u7801\u7684\u8f93\u51fa\u4e3a\uff1a<\/p>\n<pre class=\"post-pre\"><code>Take disk 1 from rod A to rod C\r\nTake disk 2 from rod A to rod B\r\nTake disk 1 from rod C to rod B\r\nTake disk 3 from rod A to rod C\r\nTake disk 1 from rod B to rod A\r\nTake disk 2 from rod B to rod C\r\nTake disk 1 from rod A to rod C\r\n<\/code><\/pre>\n<div><img decoding=\"async\" class=\"post-images\" title=\"\" src=\"https:\/\/cdn.silicloud.com\/blog-img\/blog\/img\/65647413a4b2f92e6c729657\/33-0.png\" alt=\"Tower of Hanoi Output\" \/><\/div>\n<p>\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u63d2\u56fe\u6765\u7406\u89e3\u8fd9\u4e2a\u8fc7\u7a0b\u3002\u60a8\u53ef\u4ee5\u8fd0\u884c\u4ee3\u7801\u6765\u8bbe\u7f6e\u4efb\u610f\u6570\u91cf\u7684\u76d8\u5b50\u3002<\/p>\n<p>\u5f53n=5\u65f6\uff0c\u8f93\u51fa\u7ed3\u679c\u4e3a:<\/p>\n<pre class=\"post-pre\"><code>Take disk 1 from rod A to rod C\r\nTake disk 2 from rod A to rod B\r\nTake disk 1 from rod C to rod B\r\nTake disk 3 from rod A to rod C\r\nTake disk 1 from rod B to rod A\r\nTake disk 2 from rod B to rod C\r\nTake disk 1 from rod A to rod C\r\nTake disk 4 from rod A to rod B\r\nTake disk 1 from rod C to rod B\r\nTake disk 2 from rod C to rod A\r\nTake disk 1 from rod B to rod A\r\nTake disk 3 from rod C to rod B\r\nTake disk 1 from rod A to rod C\r\nTake disk 2 from rod A to rod B\r\nTake disk 1 from rod C to rod B\r\nTake disk 5 from rod A to rod C\r\nTake disk 1 from rod B to rod A\r\nTake disk 2 from rod B to rod C\r\nTake disk 1 from rod A to rod C\r\nTake disk 3 from rod B to rod A\r\nTake disk 1 from rod C to rod B\r\nTake disk 2 from rod C to rod A\r\nTake disk 1 from rod B to rod A\r\nTake disk 4 from rod B to rod C\r\nTake disk 1 from rod A to rod C\r\nTake disk 2 from rod A to rod B\r\nTake disk 1 from rod C to rod B\r\nTake disk 3 from rod A to rod C\r\nTake disk 1 from rod B to rod A\r\nTake disk 2 from rod B to rod C\r\nTake disk 1 from rod A to rod C\r\n<\/code><\/pre>\n<div><img decoding=\"async\" class=\"post-images\" title=\"\" src=\"https:\/\/cdn.silicloud.com\/blog-img\/blog\/img\/65647413a4b2f92e6c729657\/37-0.png\" alt=\"TOH for n=5\" \/><\/div>\n<p>\u8ba1\u7b97n\u4e2a\u76d8\u5b50\u7684\u6b65\u6570\u7684\u516c\u5f0f\u4e3a\uff1a<\/p>\n<pre class=\"post-pre\"><code>(2^n)-1\r\n<\/code><\/pre>\n<h2>\u7ed3\u8bba<\/h2>\n<p>\u8fd9\u5c31\u662f\u4f7f\u7528\u9012\u5f52\u89e3\u51b3\u6c49\u8bfa\u5854\u95ee\u9898\u7684\u65b9\u6cd5\u3002\u5e0c\u671b\u4f60\u5728\u6211\u4eec\u7684\u5b66\u4e60\u4e2d\u73a9\u5f97\u5f00\u5fc3\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6c49\u8bfa\u5854\u662f\u7f16\u7a0b\u4e16\u754c\u4e2d\u7684\u7ecf\u5178\u95ee\u9898\u3002\u95ee\u9898\u7684\u8bbe\u7f6e\u5305\u62ec\u4e09\u6839\u6746\u5b50\/\u6869\u548cn\u4e2a\u76d8\u5b50\u3002 \u53ef\u4ee5\u5c06\u76d8\u5b50\u4ece\u4e00\u4e2a\u9488\u4e0a\u79fb\u52a8\u5230\u53e6\u4e00\u4e2a\u9488\u4e0a\u3002\u8fd9 [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-50661","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- 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