{"id":343,"date":"2013-08-01T18:54:11","date_gmt":"2013-08-01T10:54:11","guid":{"rendered":"http:\/\/coderbee.net\/?p=343"},"modified":"2014-11-28T20:30:38","modified_gmt":"2014-11-28T12:30:38","slug":"%e5%8a%a8%e6%80%81%e8%a7%84%e5%88%92-%e7%ac%94%e8%ae%b0","status":"publish","type":"post","link":"https:\/\/coderbee.net\/index.php\/algorithm\/20130801\/343","title":{"rendered":"\u52a8\u6001\u89c4\u5212 \u7b14\u8bb0"},"content":{"rendered":"<h2>\u4e00\u3001\u5f15\u9898<\/h2>\n<p>\u5728\u4e00\u4e2aN\u884cM\u5217\u7684\u4e8c\u7ef4\u6570\u7ec4vec\uff0c\u6bcf\u4e2a\u5143\u7d20\u4f4d\u7f6e\u653e\u7f6e\u4e00\u5b9a\u6570\u91cf\u7684\u82f9\u679c\uff0c\u4ece\u5e95\u90e8\u5f00\u59cb\u5f80\u9876\u90e8\u8d70\uff0c\u6bcf\u4e00\u6b65\u53ea\u80fd\u6309 \u6b63\u524d\u65b9\u3001\u6b63\u524d\u65b9\u5de645\u5ea6\uff08\u5982\u679c\u5de6\u8fb9\u8fd8\u6709\u4f4d\u7f6e\uff09\u3001\u6b63\u524d\u65b9\u53f345\u5ea6\uff08\u5982\u679c\u53f3\u8fb9\u8fd8\u6709\u4f4d\u7f6e\uff09 \u4e09\u79cd\u65b9\u5f0f\u524d\u8fdb\uff0c\u8d77\u70b9\u53ef\u4ee5\u662f\u5e95\u90e8\u7684\u4efb\u610f\u4e00\u4e2a\u4f4d\u7f6e\uff0c\u7ec8\u70b9\u4e5f\u53ef\u4ee5\u662f\u9876\u90e8\u7684\u4efb\u610f\u4e00\u4e2a\u4f4d\u7f6e\uff0c\u6c42\u4e00\u6761\u8def\u5f84\uff0c\u4f7f\u5f97\u6309\u8fd9\u6761\u8def\u5f84\u8d70\u8fc7\u65f6\u80fd\u6536\u96c6\u5230\u6700\u591a\u7684\u82f9\u679c\u3002<\/p>\n<h3>\u5206\u6790<\/h3>\n<p>\u7ed3\u679c\u662f\u8981\u627e\u51fa\u4e00\u6761\u8def\u5f84\uff0c\u4f7f\u5f97\u6309\u8fd9\u6761\u8def\u5f84\u8d70\u65f6\u80fd\u6536\u96c6\u5230\u6700\u591a\u7684\u82f9\u679c\uff0c\u8fd9\u662f\u627e\u6700\u4f18\u7ed3\u679c\u7684\u95ee\u9898\u3002\u8fd9\u6837\u7684\u8def\u5f84\u5f53\u7136\u6ca1\u6cd5\u4e00\u773c\u5c31\u770b\u51fa\u6765\uff0c\u53ef\u4ee5\u968f\u4fbf\u753b\u4e00\u6761\u8def\u5f84\uff0c\u4f46\u6ca1\u6cd5\u8bc1\u660e\u8fd9\u6761\u8def\u5f84\u80fd\u5f97\u51fa\u6700\u4f18\u7ed3\u679c\u3002<\/p>\n<p>\u90a3\u4e48\u80fd\u4e0d\u80fd\u5047\u8bbe\u4e00\u4e2a\u70b9<code>vec[i][j]<\/code>\uff0c\u8fd9\u4e2a\u70b9\u662f\u6700\u4f18\u8def\u5f84\u4e0a\u7684\u4e00\u4e2a\u70b9\u3002\u5c3d\u7ba1\u73b0\u5728\u8fd8\u4e0d\u80fd\u8bc1\u660e<code>vec[i][j]<\/code>\u80af\u5b9a\u5904\u4e8e\u6700\u4f18\u8def\u5f84\u4e0a\uff0c\u4f46\u6211\u4eec\u5c31\u662f\u5047\u8bbe\u5b83\u662f\uff08\u8fd9\u662f\u52a8\u6001\u89c4\u5212\u7684\u5206\u6790\u7684\u4e00\u4e2a\u7279\u70b9\uff09\uff01<\/p>\n<p>\u7528<code>cc[i][j]<\/code>\u8868\u793a\u8fbe\u5230\u70b9<code>vec[i][j]<\/code>\u65f6\u80fd\u6536\u96c6\u5230\u7684\u6700\u591a\u82f9\u679c\u6570\u3002\u6309\u7167\u9898\u76ee\u7684\u8981\u6c42\uff0c\u5982\u679c<code>vec[i][j]<\/code>\u4e0d\u662f\u5904\u4e8e\u6700\u5e95\u884c\uff0c\u90a3\u4e48\u5230\u8fbe<code>vec[i][j]<\/code>\u6700\u591a\u6709\u4e09\u79cd\u8d70\u6cd5\uff1a<\/p>\n<ol>\n<li>\u5982\u679c\u5de6\u4e0a\u65b9\u8fd8\u6709\u4f4d\u7f6e\uff0c\u4ecevec[i-1][j-1]\u5411\u53f3\u524d\u65b9\u524d\u8fdb\u4e00\u6b65\u3002<\/li>\n<li>\u4ecevec[i-1][j]\u6309\u6b63\u524d\u65b9\u524d\u8fdb\u4e00\u6b65\u3002<\/li>\n<li>\u5982\u679c\u53f3\u4e0a\u65b9\u8fd8\u6709\u4f4d\u7f6e\uff0c\u4ecevec[i-1][j+1]\u5411\u5de6\u524d\u65b9\u524d\u8fdb\u4e00\u6b65\u3002<\/li>\n<\/ol>\n<p>\u56fe\u793a\uff1a<br \/>\n<a href=\"\/\/coderbee.net\/wp-content\/uploads\/2013\/08\/dynamic-programming-apple-select.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-342\" alt=\"dynamic-programming-apple-select\" src=\"\/\/coderbee.net\/wp-content\/uploads\/2013\/08\/dynamic-programming-apple-select-300x100.png\" width=\"300\" height=\"100\" srcset=\"https:\/\/coderbee.net\/wp-content\/uploads\/2013\/08\/dynamic-programming-apple-select-300x100.png 300w, https:\/\/coderbee.net\/wp-content\/uploads\/2013\/08\/dynamic-programming-apple-select.png 303w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>\u8981\u5728<code>vec[i][j]<\/code>\u6536\u96c6\u5230\u6700\u591a\u82f9\u679c\uff0c\u5f53\u7136\u662f\u4ece\u5b83\u7684\u4e09\u4e2a\u6765\u6e90\u4e2d\u9009\u4e00\u4e2a\u80fd\u6536\u96c6\u5230\u6700\u591a\u82f9\u679c\u7684\u8282\u70b9\u4f5c\u4e3a<code>vec[i][j]<\/code>\u5728\u6700\u4f18\u8def\u5f84\u4e0a\u7684\u524d\u4e00\u4e2a\u8282\u70b9\u3002\u90a3\u4e48\u5728<code>vec[i][j]<\/code>\u4e0a\u6536\u96c6\u5230\u7684\u82f9\u679c\u6570\u4e3a\uff1a<br \/>\n<code>cc[i][j] = vec[i][j] + max{ cc[i-1][j-1] if j-1&gt;=0, cc[i-1][j], cc[i-1][j+1] if j+1 &lt; M } if i-1 &gt;= 0<\/code><\/p>\n<p><!--more--><\/p>\n<p>\u73b0\u5728\u867d\u7136\u77e5\u9053\u600e\u4e48\u6c42<code>cc[i][j]<\/code>\u7684\u516c\u5f0f\uff0c\u4f46<code>cc[i-1][j-1] , cc[i-1][j], cc[i-1][j+1]<\/code>\u7684\u503c\u73b0\u5728\u90fd\u8fd8\u4e0d\u77e5\u9053\uff0c\u9700\u8981\u7ee7\u7eed\u6c42\u89e3\u3002\u5728\u6c42<code>cc[i-1][j-1]<\/code>\u65f6\uff0c\u5e76\u4e0d\u9700\u8981\u53bb\u7ba1 <code>&amp;gt;=i<\/code> \u7684\u884c\uff0c\u53ea\u9700\u8981\u5173\u6ce8\u7b2c <code>i-2<\/code>\u884c\uff0c\u6240\u4ee5\uff0c\u95ee\u9898\u7684\u89c4\u6a21\u7f29\u5c0f\u4e86\u3002<\/p>\n<p>\u540c\u6837\u5bf9\u4e8e\u8282\u70b9<code>vec[i-1][j-1]<\/code>\uff0c\u5982\u679c\u5b83\u4e0d\u662f\u5904\u4e8e\u6700\u5e95\u884c\uff0c\u5b83\u4e5f\u6700\u591a\u6709\u4e09\u4e2a\u6765\u6e90\uff0c\u5b83\u7684\u4f4d\u7f6e\u80fd\u6536\u96c6\u5230\u7684\u6700\u591a\u82f9\u679c\u6570\u4e5f\u662f\u5b83\u7684\u4e09\u4e2a\u6765\u6e90\u4e2d\u80fd\u6536\u96c6\u5230\u7684\u6700\u591a\u82f9\u679c\u6570\u52a0\u4e0a\u5b83\u81ea\u8eab\u7684\u82f9\u679c\u6570\u3002<em>\u6240\u4ee5\u6c42\u8282\u70b9\u80fd\u6536\u96c6\u5230\u7684\u6700\u591a\u82f9\u679c\u6570\u5177\u6709\u9012\u5f52\u7684\u6027\u8d28\u3002<\/em><\/p>\n<p>\u9012\u5f52\u603b\u5f97\u6709\u4e2a\u7ec8\u6b62\u6761\u4ef6\uff0c\u8fd9\u91cc\u7684\u7ec8\u6b62\u6761\u4ef6\u5c31\u662f\u5904\u4e8e\u6700\u5e95\u884c\u7684\u8282\u70b9\uff0c\u56e0\u4e3a\u79fb\u52a8\u7684\u65b9\u5411\u53ea\u80fd\u5411\u524d\uff0c\u4e0d\u80fd\u5de6\u53f3\u79fb\u52a8\uff0c\u6240\u4ee5\u6700\u5e95\u884c\u80fd\u6536\u96c6\u5230\u7684\u6700\u591a\u82f9\u679c\u6570\u5c31\u662f\u672c\u8eab\u6301\u6709\u7684\u82f9\u679c\u6570\u3002<\/p>\n<p>\u5230\u8fd9\u91cc\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u9012\u5f52\u7684\u65b9\u6cd5\u6c42\u51fa\u4efb\u4e00\u8282\u70b9<code>vec[i][j]<\/code>\u6240\u80fd\u6536\u96c6\u5230\u7684\u6700\u591a\u82f9\u679c\u6570<code>cc[i][j]<\/code>\u3002<\/p>\n<p>\u518d\u6765\u770b\u770b\u8fd9\u79cd\u60c5\u51b5\uff1a\u5bf9\u4e8e\u8282\u70b9 <code>vec[i][j]<\/code>\u548c<code>vec[i][j+1]<\/code>\uff0c\u5b83\u4eec\u90fd\u53ef\u4ee5\u4ece<code>vec[i-1][j]<\/code>\u5230\u8fbe\uff0c\u5982\u679c\u7528\u9012\u5f52\u7684\u65b9\u6cd5\u6c42\u89e3\u7684\u8bdd\uff0c\u90a3\u4e48\u4f1a\u91cd\u590d\u6c42\u89e3<code>cc[i-1][j]<\/code>\u7684\u503c\uff0c\u8fd9\u662f\u4f4e\u6548\u7684\u3002<\/p>\n<p>\u5982\u679c\u6211\u4eec\u5148\u6c42\u51fa<code>cc[i-1][j]<\/code>\u7684\u503c\uff0c\u90a3\u4e48\u5728\u6c42\u89e3<code>vec[i][j]<\/code>\u548c<code>vec[i][j+1]<\/code>\u65f6\uff0c\u7531\u4e8e<code>cc[i-1][j]<\/code>\u5df2\u7ecf\u6c42\u89e3\u8fc7\uff0c\u5c31\u4e0d\u9700\u8981\u518d\u91cd\u590d\u8ba1\u7b97\u4e86\u3002<\/p>\n<p>\u5982\u679c\u53ea\u9700\u8981\u8ba1\u7b97\u80fd\u6536\u96c6\u7684\u6700\u5927\u82f9\u679c\u6570\uff0c\u76f4\u63a5\u4ececc\u8868\u7684\u6700\u9876\u884c\u53d6\u6700\u5927\u503c\u5373\u53ef\uff1b\u5982\u679c\u9700\u8981\u8ba1\u7b97\u5b8c\u6574\u7684\u8def\u5f84\uff0c\u90a3\u4e48\u8fd8\u9700\u8981\u7528\u53e6\u4e00\u4e2a\u8868route\u6765\u8bb0\u5f55\u8282\u70b9<code>vec[i][j]<\/code>\u9009\u62e9\u7684\u6765\u6e90\u8282\u70b9\u3002<\/p>\n<h3>\u5c0f\u7ed3<\/h3>\n<p>\u5982\u679c\u628a\u6c42\u67d0\u4e2a\u8282\u70b9\u80fd\u6536\u96c6\u7684\u6700\u5927\u82f9\u679c\u6570\u770b\u4f5c\u662f\u4e00\u4e2a\u95ee\u9898\uff0c\u90a3\u4e48\u6c42\u89e3\u5b83\u7684\u6765\u6e90\u8282\u70b9\u80fd\u6536\u96c6\u7684\u6700\u5927\u82f9\u679c\u6570\u5c31\u662f\u5b83\u7684\u5b50\u95ee\u9898\u4e86\u3002<\/p>\n<ol>\n<li>\u867d\u7136\u4e0d\u77e5\u9053\u6700\u7ec8\u7ed3\u679c\uff0c\u4f46\u53ef\u4ee5\u5927\u80c6\u5047\u8bbe\u67d0\u4e2a\u70b9\u5c31\u662f\u6700\u4f18\u8def\u5f84\u4e0a\u7684\u4e00\u4e2a\u8282\u70b9\u3002<\/li>\n<li>\u5f53\u524d\u8282\u70b9\u80fd\u6536\u96c6\u7684\u6700\u5927\u82f9\u679c\u6570\u662f\u4ece\u5b83\u7684\u591a\u4e2a\u6765\u6e90\u8282\u70b9\u4e2d\u9009\u62e9\u80fd\u6536\u96c6\u5230\u6700\u591a\u82f9\u679c\u7684\u8282\u70b9\u3002\u4e5f\u5c31\u662f\u5f53\u524d\u95ee\u9898\u7684\u6700\u4f18\u89e3\u5305\u62ec\u4ece\u5b83\u7684\u591a\u4e2a\u5b50\u95ee\u9898\u4e2d\u9009\u6700\u4f18\u7684\u4e00\u4e2a\u5b50\u95ee\u9898\u7684\u89e3\u3002<\/li>\n<li>\u81ea\u9876\u5411\u4e0b\u5730\u5206\u6790\u6240\u6709\u8282\u70b9\u80fd\u6536\u96c6\u5230\u7684\u6700\u591a\u82f9\u679c\u6570\uff0c\u76f4\u81f3\u9047\u5230\u7ec8\u6b62\u6761\u4ef6\uff08\u6700\u5e95\u884c\uff09\u3002<\/li>\n<li>\u5206\u6790\u53d1\u73b0\uff0c\u867d\u7136\u7528\u81ea\u9876\u5411\u4e0b\u7684\u9012\u5f52\u65b9\u6cd5\u53ef\u4ee5\u6c42\u89e3\u95ee\u9898\uff0c\u4f46\u4f1a\u5bfc\u81f4\u91cd\u590d\u8ba1\u7b97\u5b50\u95ee\u9898\u3002<\/li>\n<li>\u81ea\u5e95\u5411\u4e0a\u8ba1\u7b97\u95ee\u9898\u7684\u6700\u4f18\u89e3\uff0c\u5e76\u628a\u5f97\u5230\u7684\u89e3\u5b58\u5728\u8868\u683c\u91cc\uff0c\u53ef\u4ee5\u907f\u514d\u91cd\u590d\u8ba1\u7b97\u5b50\u95ee\u9898\u3002<\/li>\n<\/ol>\n<h3>\u5b9e\u73b0<\/h3>\n<p>\u5b9e\u73b0\u4e0d\u96be\uff0c\u5c31\u4e0d\u8d34\u4ee3\u7801\u4e86\u3002<\/p>\n<h2>\u4e8c\u3001\u52a8\u6001\u89c4\u5212<\/h2>\n<p>\u5f15\u9898\u7684\u5206\u6790\u8fc7\u7a0b\u5c31\u662f\u5e94\u7528\u52a8\u6001\u89c4\u5212\u65b9\u6cd5\u7684\u5206\u6790\u8fc7\u7a0b\uff0c\u4e0b\u9762\u7684\u5185\u5bb9\u4e3b\u8981\u6765\u81ea\u300a\u7b97\u6cd5\u5bfc\u8bba\u300b\u7b2c3\u7248\uff0c\u66f4\u7406\u8bba\u7684\u3002<\/p>\n<p><strong>\u52a8\u6001\u89c4\u5212\u901a\u5e38\u5e94\u7528\u4e8e\u6700\u4f18\u5316\u95ee\u9898\u3002<\/strong><\/p>\n<h3>\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u7684\u8bbe\u8ba1\u6b65\u9aa4<\/h3>\n<ol>\n<li>\u63cf\u8ff0\u6700\u4f18\u89e3\u7684\u7ed3\u6784\u3002\uff08\u901a\u8fc7\u526a\u8d34\u6280\u672f\u8bc1\u660e\u6709\u6700\u4f18\u89e3\uff09<\/li>\n<li>\u9012\u5f52\u5b9a\u4e49\u6700\u4f18\u89e3\u7684\u503c\u3002\uff08\u5f97\u51fa\u8ba1\u7b97\u503c\u7684\u9012\u5f52\u5f0f\uff09<\/li>\n<li>\u6309\u81ea\u5e95\u5411\u4e0a\u7684\u65b9\u5f0f\u8ba1\u7b97\u6700\u4f18\u89e3\u7684\u503c\u3002<\/li>\n<li>\u7531\u8ba1\u7b97\u51fa\u7684\u7ed3\u679c\u6784\u9020\u4e00\u4e2a\u6700\u4f18\u89e3\u3002<\/li>\n<\/ol>\n<p><strong>\u9002\u5408\u91c7\u7528\u52a8\u6001\u89c4\u5212\u65b9\u6cd5\u7684\u6700\u4f18\u5316\u95ee\u9898\u4e2d\u6709\u4e24\u4e2a\u8981\u7d20\uff1a\u6700\u4f18\u5b50\u7ed3\u6784\u548c\u91cd\u53e0\u5b50\u95ee\u9898\u3002<\/strong><\/p>\n<h3>\u6700\u4f18\u5b50\u7ed3\u6784<\/h3>\n<p>\u5982\u679c\u95ee\u9898\u7684\u4e00\u4e2a\u6700\u4f18\u89e3\u4e2d\u5305\u542b\u4e86\u5b50\u95ee\u9898\u7684\u6700\u4f18\u89e3\uff0c\u5219\u8be5\u95ee\u9898\u5177\u6709\u6700\u4f18\u5b50\u7ed3\u6784\u3002<\/p>\n<p>\u5728\u5bfb\u627e\u6700\u4f18\u5b50\u7ed3\u6784\u65f6\uff0c\u53ef\u4ee5\u9075\u5faa\u4e00\u79cd\u5171\u540c\u7684\u6a21\u5f0f\uff1a<\/p>\n<ol>\n<li>\u95ee\u9898\u7684\u4e00\u4e2a\u89e3\u53ef\u4ee5\u662f\u505a\u4e00\u4e2a\u9009\u62e9\u3002<\/li>\n<li>\u5047\u8bbe\u5bf9\u4e00\u4e2a\u7ed9\u5b9a\u7684\u95ee\u9898\uff0c\u5df2\u77e5\u7684\u662f\u4e00\u4e2a\u53ef\u4ee5\u5bfc\u81f4\u6700\u4f18\u89e3\u7684\u9009\u62e9\u3002<strong>\u4e0d\u5fc5\u5173\u5fc3\u5982\u4f55\u786e\u5b9a\u8fd9\u4e2a\u9009\u62e9\uff0c\u5c3d\u7ba1\u5047\u5b9a\u5b83\u662f\u5df2\u77e5\u7684\u3002<\/strong><\/li>\n<li>\u5728\u5df2\u77e5\u8fd9\u4e2a\u9009\u62e9\u540e\uff0c\u8981\u786e\u5b9a\u54ea\u4e9b\u5b50\u95ee\u9898\u4f1a\u968f\u4e4b\u53d1\u751f\uff0c\u4ee5\u53ca\u5982\u4f55\u6700\u597d\u5730\u63cf\u8ff0\u6240\u5f97\u5230\u7684\u5b50\u95ee\u9898\u7a7a\u95f4\u3002<\/li>\n<li>\u5229\u7528\u4e00\u79cd\u201c\u526a\u8d34\u201d\uff08cut-and-paste\uff09\u6280\u672f\uff0c\u6765\u8bc1\u660e\u5728\u95ee\u9898\u7684\u4e00\u4e2a\u6700\u4f18\u89e3\u4e2d\uff0c\u4f7f\u7528\u7684\u5b50\u95ee\u9898\u7684\u89e3\u672c\u8eab\u4e5f\u5fc5\u987b\u662f\u6700\u4f18\u7684\u3002\u901a\u8fc7\u5047\u8bbe\u6bcf\u4e00\u4e2a\u5b50\u95ee\u9898\u7684\u89e3\u90fd\u4e0d\u662f\u6700\u4f18\u89e3\uff0c\u7136\u540e\u5bfc\u51fa\u77db\u76fe\uff0c\u5373\u53ef\u505a\u5230\u8fd9\u4e00\u70b9\u3002<\/li>\n<\/ol>\n<p>\u526a\u8d34\u6280\u672f\u5927\u81f4\u662f\u8fd9\u6837\u7684\uff1a\u5bf9\u4e8e\u4e00\u4e2a\u95ee\u9898P\uff0c\u6709\u5b50\u95ee\u9898C1\u3001C2\u3001C3\uff0c\u5047\u8bbeP\u7684\u6700\u4f18\u89e3\u5305\u542bC1\u7684\u6700\u4f18\u89e3\uff0c\u5982\u679cC3\u7684\u6700\u4f18\u89e3\u6bd4C1\u7684\u6700\u4f18\u89e3\u8fd8\u597d\uff0c\u90a3\u4e48\u628aC1\u7684\u6700\u4f18\u89e3\u4eceP\u7684\u89e3\u526a\u5207\u4e0b\u6765\uff0c\u518d\u628aC3\u7684\u7684\u6700\u4f18\u89e3\u7c98\u8d34\u5230P\u7684\u6700\u4f18\u89e3\u4e0a\uff0c\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u66f4\u597d\u7684\u89e3\uff0c\u4e0e\u539f\u6709\u5047\u8bbe\u77db\u76fe\uff0c\u6240\u4ee5P\u7684\u6700\u4f18\u89e3\u5e94\u8be5\u662f\u5305\u542b\u5b50\u95ee\u9898C3\u7684\u6700\u4f18\u89e3\u3002<\/p>\n<p>\u6700\u4f18\u5b50\u7ed3\u6784\u5728\u95ee\u9898\u57df\u4e2d\u4ee5\u4e24\u79cd\u65b9\u5f0f\u53d8\u5316\uff1a<\/p>\n<ol>\n<li>\u6709\u591a\u5c11\u4e2a\u5b50\u95ee\u9898\u88ab\u4f7f\u7528\u5728\u539f\u95ee\u9898\u7684\u4e00\u4e2a\u6700\u4f18\u89e3\u4e2d\uff0c\u4ee5\u53ca<\/li>\n<li>\u5728\u51b3\u5b9a\u4e00\u4e2a\u6700\u4f18\u89e3\u4e2d\u4f7f\u7528\u54ea\u4e9b\u5b50\u95ee\u9898\u65f6\u6709\u591a\u5c11\u4e2a\u9009\u62e9\u3002<\/li>\n<\/ol>\n<p><strong>\u540c\u4e00\u4e2a\u95ee\u9898\u7684\u5b50\u95ee\u9898\u4e4b\u95f4\u5e94\u8be5\u662f\u72ec\u7acb\u7684\uff0c\u4e00\u4e2a\u5b50\u95ee\u9898\u7684\u89e3\u4e0d\u4f1a\u5f71\u54cd\u540c\u4e00\u4e2a\u95ee\u9898\u4e2d\u53e6\u4e00\u4e2a\u5b50\u95ee\u9898\u7684\u89e3\u3002<\/strong><\/p>\n<h3>\u91cd\u53e0\u5b50\u95ee\u9898<\/h3>\n<p>\u9002\u7528\u4e8e\u52a8\u6001\u89c4\u5212\u6c42\u89e3\u7684\u6700\u4f18\u5316\u95ee\u9898\u5fc5\u987b\u5177\u6709\u7684\u7b2c\u4e8c\u4e2a\u8981\u7d20\u662f\u5b50\u95ee\u9898\u7684\u7a7a\u95f4\u8981\u201c\u5f88\u5c0f\u201d\uff0c\u4e5f\u5c31\u662f\u7528\u6765\u89e3\u539f\u95ee\u9898\u7684\u9012\u5f52\u7b97\u6cd5\u53ef\u53cd\u590d\u5730\u89e3\u540c\u6837\u7684\u5b50\u95ee\u9898\uff0c\u800c\u4e0d\u662f\u603b\u5728\u4ea7\u751f\u65b0\u7684\u5b50\u95ee\u9898\u3002<\/p>\n<p>\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u603b\u662f\u5145\u5206\u5229\u7528\u91cd\u53e0\u5b50\u95ee\u9898\uff0c\u5373\u901a\u8fc7\u6bcf\u4e2a\u5b50\u95ee\u9898\u53ea\u89e3\u4e00\u6b21\uff0c\u628a\u89e3\u4fdd\u5b58\u5728\u4e00\u4e2a\u9700\u8981\u65f6\u5c31\u53ef\u4ee5\u67e5\u770b\u7684\u8868\u4e2d\uff0c\u800c\u6bcf\u6b21\u67e5\u8868\u7684\u65f6\u95f4\u4e3a\u5e38\u6570\u3002<\/p>\n<h3>\u5b50\u95ee\u9898\u72ec\u7acb\u6027\u548c\u91cd\u53e0\u6027<\/h3>\n<p>\u52a8\u6001\u89c4\u5212\u8981\u6c42\u5176\u5b50\u95ee\u9898\u65e2\u8981\u72ec\u7acb\u53c8\u8981\u91cd\u53e0\uff0c\u8fd9\u5176\u5b9e\u662f\u4e0d\u540c\u7684\u6982\u5ff5\u3002<\/p>\n<p>\u72ec\u7acb\u6027\u662f\u4ece\u5144\u5f1f\u8282\u70b9\u4e4b\u95f4\u7684\u89d2\u5ea6\u6765\u770b\uff0c\u662f\u540c\u4e00\u95ee\u9898\u4e0b\u7684\u5b50\u95ee\u9898\u4e4b\u95f4\u72ec\u7acb\u3002<\/p>\n<p>\u91cd\u53e0\u6027\u662f\u4ece\u7236\u5b50\u8282\u70b9\u4e4b\u95f4\u7684\u89d2\u5ea6\u770b\uff0c\u4e00\u4e2a\u95ee\u9898p\u548cp\u7684\u5b50\u95ee\u9898t\uff0c\u4ed6\u4eec\u5171\u6709\u5b50\u5b50\u95ee\u9898c\uff0c\u5373t\u7684\u5b50\u95ee\u9898c\u4e5f\u662fp\u7684\u5b50\u95ee\u9898\uff0c\u90a3\u4e48\u6c42\u89e3\u51fa\u95ee\u9898t\u540e\uff0c\u6c42\u89e3\u95ee\u9898p\u65f6\uff0c\u7531\u4e8e\u5b83\u7684\u4e00\u4e2a\u5b50\u5b50\u95ee\u9898c\u5df2\u7ecf\u6c42\u51fa\uff0c\u53ef\u4ee5\u91cd\u7528\uff0c\u6240\u4ee5\u53ea\u9700\u8ba1\u7b97\u4e00\u90e8\u5206\u5b50\u95ee\u9898\uff0c\u4ece\u800c\u63d0\u9ad8\u6548\u7387\u3002<\/p>\n<h2>\u4e09\u3001\u52a8\u6001\u89c4\u5212\u4e0e\u5206\u6cbb\u6cd5\u7684\u5f02\u540c<\/h2>\n<p>\u52a8\u6001\u89c4\u5212\u548c\u5206\u6cbb\u6cd5\u4e00\u6837\uff0c\u90fd\u662f\u901a\u8fc7\u7ec4\u5408\u5b50\u95ee\u9898\u7684\u89e3\u800c\u89e3\u51b3\u6574\u4e2a\u95ee\u9898\u3002<\/p>\n<p>\u5206\u6cbb\u6cd5\u662f\u6307\u5c06\u95ee\u9898\u5212\u5206\u6210\u4e00\u4e9b\u72ec\u7acb\u7684\u5b50\u95ee\u9898\uff0c\u9012\u5f52\u5730\u6c42\u89e3\u5404\u5b50\u95ee\u9898\uff0c\u7136\u540e\u5408\u5e76\u5b50\u95ee\u9898\u7684\u89e3\u800c\u5f97\u5230\u539f\u95ee\u9898\u7684\u89e3\u3002<\/p>\n<p>\u52a8\u6001\u89c4\u5212\u9002\u7528\u4e8e \u5b50\u95ee\u9898\u4e0d\u662f\u72ec\u7acb\u7684\u60c5\u51b5\uff0c\u4e5f\u5c31\u662f\u5404\u5b50\u95ee\u9898\u5305\u542b\u516c\u5171\u7684<strong>\u5b50\u5b50<\/strong>\u95ee\u9898\u3002<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u82e5\u91c7\u7528\u5206\u6cbb\u6cd5\u5219\u4f1a\u505a\u8bb8\u591a\u4e0d\u5fc5\u8981\u7684\u5de5\u4f5c\uff0c\u5373\u91cd\u590d\u5730\u6c42\u89e3\u516c\u5171\u7684\u5b50\u5b50\u95ee\u9898\u3002<\/p>\n<p>\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u5bf9\u6bcf\u4e2a\u5b50\u5b50\u95ee\u9898\u53ea\u6c42\u89e3\u4e00\u6b21\uff0c\u5c06\u5176\u7ed3\u679c\u4fdd\u5b58\u5728\u4e00\u5f20\u8868\u4e2d\uff0c\u4ece\u800c\u907f\u514d\u6bcf\u6b21\u9047\u5230\u5404\u4e2a\u5b50\u95ee\u9898\u65f6\u91cd\u65b0\u8ba1\u7b97\u7b54\u6848\u3002<\/p>\n<h2>\u56db\u3001\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217<\/h2>\n<p>\u8fd9\u91cc\u7ed3\u5408\u524d\u9762\u7684\u7406\u8bba\u7684\u77e5\u8bc6\u518d\u7ec3\u4e60\u4e0b\u52a8\u6001\u89c4\u5212\u7684\u89e3\u9898\u8fc7\u7a0b\u3002<\/p>\n<p>\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\uff0cLongest-Common-Subsequence\uff0cLCS\u3002<\/p>\n<p>\u7ed9\u5b9a\u4e24\u4e2a\u5e8f\u5217X\u548cY\uff0c\u5982\u679cZ\u65e2\u662fX\u7684\u4e00\u4e2a\u5b50\u5e8f\u5217\u53c8\u662fY\u7684\u4e00\u4e2a\u5b50\u5e8f\u5217\uff0c\u5219\u79f0\u5e8f\u5217Z\u662fX\u548cY\u7684\u516c\u5171\u5b50\u5e8f\u5217\u3002<\/p>\n<p>\u4f8b\u5982\uff0cX=&lt; A, B, C, B, D, A, B&gt;, Y=&lt; B, D, C, A, B, A&gt;\uff0c&lt; B, C, A&gt;\u662fX\u3001Y\u7684\u4e00\u4e2a\u516c\u5171\u5b50\u5e8f\u5217\uff0c\u4f46\u4e0d\u662f\u6700\u957f\u7684\uff1b\u5e8f\u5217&lt; B, C, B, A&gt;\u3001&lt; B, D, A, B&gt;\u624d\u662fX\u3001Y\u7684LCS\u3002<\/p>\n<p>\u90a3\u4e48\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u4e24\u4e2a\u5e8f\u5217X\u3001Y\uff0c\u600e\u4e48\u6c42\u4ed6\u4eec\u7684\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\uff1f<\/p>\n<h3>\u5206\u6790<\/h3>\n<p>\u65e2\u7136\u662f\u8981\u6c42\u6700\u957f\u7684\u516c\u5171\u5b50\u5e8f\u5217\uff0c\u5c31\u662f\u8981\u6c42\u95ee\u9898\u7684\u6700\u4f18\u89e3\uff0c\u542c\u8d77\u6765\u6b63\u662f\u52a8\u6001\u89c4\u5212\u7684\u83dc\u3002<\/p>\n<p>\u4e0b\u9762\u5c1d\u8bd5\u6309\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u7684\u6b65\u9aa4\u6c42\u89e3\u95ee\u9898\uff1a<\/p>\n<ul>\n<li>\n<p>\u6b65\u9aa41\u3001\u63cf\u8ff0\u6700\u4f18\u5b50\u7ed3\u6784\uff0c\u5728\u8fd9\u91cc\u5c31\u662f\u8981\u63cf\u8ff0\u4e00\u4e2a\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u3002<br \/>\n\u8bbe<code>X[1,..,m]<\/code>\u548c<code>Y[1,..,n]<\/code>\u4e3a\u4e24\u4e2a\u5e8f\u5217\uff0c\u5e76\u5047\u8bbe<code>Z[1,..,k]<\/code>\u4e3a<code>X<\/code>\u548c<code>Y<\/code>\u7684\u4efb\u610f\u4e00\u4e2aLCS\uff08\u5927\u80c6\u5047\u8bbe\uff0c\u600e\u4e48\u5f97\u5230\u5148\u4e0d\u7ba1\uff09\u3002<\/p>\n<p>LCS\u5b9a\u7406\uff1a<\/p>\n<ol>\n<li>\u5982\u679c <code>X[m]=Y[n]<\/code>\uff0c\u90a3\u4e48 <code>Z[k]=X[m]=Y[n]<\/code>\uff0c \u800c\u4e14<code>Z[k-1]<\/code>\u662f<code>X[1,...,m-1]<\/code>\u548c<code>Y[1,...,n-1]<\/code>\u7684\u4e00\u4e2aLCS\u3002<\/li>\n<li>\u5982\u679c <code>X[m]!=Y[n]<\/code>\uff0c\u90a3\u4e48 <code>Z[k]!=X[m]<\/code>\uff08\u6392\u9664X[m]\uff09\uff0c\u8574\u542b <code>Z<\/code> \u662f <code>X[1,...,m-1] \u548c<\/code>Y` \u7684\u4e00\u4e2aLCS\u3002<\/li>\n<li>\u5982\u679c <code>X[m]!=Y[n]<\/code>\uff0c\u90a3\u4e48 <code>Z[k]!=Y[n]<\/code>\uff08\u6392\u9664Y[n]\uff09\uff0c\u8574\u542b <code>Z<\/code> \u662f <code>X<\/code> \u548c <code>Y[1,...,n-1]<\/code> \u7684\u4e00\u4e2aLCS\u3002<\/li>\n<\/ol>\n<p>\u8bc1\u660e\uff1a<\/p>\n<ol>\n<li>\u5982\u679c <code>Z[k]!=X[m]<\/code>\uff0c\u5219\u53ef\u4ee5\u6dfb\u52a0 <code>X[m]=Y[n]<\/code> \u5230<code>Z<\/code>\u4e2d\uff0c\u4ee5\u5f97\u5230 <code>X<\/code> \u548c <code>Y<\/code> \u7684\u4e00\u4e2a\u957f\u5ea6\u4e3a <code>k+1<\/code> \u7684\u516c\u5171\u5b50\u5e8f\u5217\uff0c\u8fd9\u4e0e <code>Z<\/code> \u662f <code>X<\/code> \u548c <code>Y<\/code> \u7684\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u7684\u5047\u8bbe\u77db\u76fe\u3002\u56e0\u6b64\uff0c\u5fc5\u6709 <code>Z[k]=X[m]=Y[n]<\/code>\u3002\u6b64\u65f6\u524d\u7f00 <code>Z[k-1]<\/code> \u662f <code>X[1,...,m-1]<\/code> \u548c <code>Y[1,...,n-1]<\/code> \u7684\u957f\u5ea6\u4e3a <code>k-1<\/code> \u7684\u516c\u5171\u5e8f\u5217\u3002\u8bc1\u660e\u5b83\u5c31\u662fLCS\uff0c\u4e3a\u5bfc\u51fa\u77db\u76fe\uff0c\u5047\u8bbe <code>X[1,...,m-1]<\/code> \u548c <code>Y[1,...,n-1]<\/code> \u6709\u4e00\u4e2a\u957f\u5ea6\u5927\u4e8e <code>k-1<\/code> \u7684\u516c\u5171\u5b50\u5e8f\u5217 <code>W<\/code>\uff0c\u7528\u526a\u8d34\u6280\u672f\uff1a\u5c06\u539f\u6709\u524d\u7f00 <code>Z[k-1]<\/code> \u4ece <code>Z<\/code> \u4e0a\u526a\u5207\u4e0b\u6765\uff0c\u518d\u628a <code>W<\/code> \u7c98\u8d34\u5230 <code>Z<\/code> \u4e0a\uff0c\u5219\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u6bd4 <code>k<\/code> \u5927\u7684\u516c\u5171\u5b50\u5e8f\u5217\uff0c\u4e0e\u539f\u6709\u5047\u8bbe\u77db\u76fe\uff0c\u6240\u4ee5 <code>Z[k-1]<\/code> \u5c31\u662f <code>X[1,...,m-1]<\/code> \u548c <code>Y[1,...,n-1]<\/code> \u7684LCS\u3002   <\/li>\n<li>\u5982\u679c <code>Z[k]!=X[m]<\/code>\uff0c\u90a3\u4e48 <code>Z<\/code> \u662f <code>X[1,...,m-1]<\/code> \u548c <code>Y<\/code> \u7684\u4e00\u4e2a\u516c\u5171\u5b50\u5e8f\u5217\u3002\u5982\u679c <code>X[1,...,m-1]<\/code> \u548c <code>Y<\/code> \u6709\u4e00\u4e2a\u957f\u5ea6\u5927\u4e8e <code>k<\/code> \u7684\u516c\u5171\u5b50\u5e8f\u5217 <code>W<\/code>\uff0c\u5219 <code>W<\/code> \u4e5f\u662f <code>X[m]<\/code> \u548c <code>Y<\/code> \u7684\u4e00\u4e2a\u516c\u5171\u5b50\u5e8f\u5217\uff0c\u8fd9\u4e0e <code>Z<\/code> \u662f <code>X<\/code> \u548c <code>Y<\/code> \u7684\u4e00\u4e2aLCS\u7684\u5047\u8bbe\u77db\u76fe\u3002   <\/li>\n<li>\u4e0e2\u540c\u7406\u53ef\u8bc1\u3002   <\/li>\n<\/ol>\n<p>\u5c0f\u7ed3\uff1aLCS\u5b9a\u7406\u8bf4\u660e\u4e24\u4e2a\u5e8f\u5217\u7684\u4e00\u4e2aLCS\u4e5f\u5305\u542b\u4e86\u4e24\u4e2a\u5e8f\u5217\u7684\u524d\u7f00\u7684\u4e00\u4e2aLCS\uff0c\u4e5f\u5c31\u662f\u8bf4LCS\u95ee\u9898\u5177\u6709\u6700\u4f18\u5b50\u7ed3\u6784\u6027\u8d28\u3002<\/p>\n<\/li>\n<li>\n<p>\u6b65\u9aa42\u3001\u9012\u5f52\u89e3\u3002<br \/>\n\u5728\u627e <code>X[1,..,m]<\/code> \u548c <code>Y[1,..,n]<\/code> \u7684\u4e00\u4e2aLCS\u65f6\uff0c\u5982\u679c <code>X[m]=Y[n]<\/code>\uff0c\u5fc5\u987b\u627e\u51fa <code>X[1,...,m-1]<\/code> \u548c <code>Y[1,...,n-1]<\/code> \u7684\u4e00\u4e2aLCS\uff0c\u518d\u5c06 <code>X[m]=Y[n]<\/code> \u6dfb\u52a0\u5230\u8fd9\u4e2aLCS\u4e0a\uff0c\u4ea7\u751f <code>X<\/code> \u548c <code>Y<\/code> \u7684\u4e00\u4e2aLCS\u3002\u5982\u679c <code>X[m]!=Y[n]<\/code> \uff0c\u5fc5\u987b\u89e3\u4e24\u4e2a\u5b50\u95ee\u9898 <code>X[1,...,m-1]<\/code> \u548c <code>Y[1,..,n]<\/code> \u7684\u4e00\u4e2aLCS\uff0c\u4ee5\u53ca <code>X[1,..,m]<\/code> \u548c <code>Y[1,...,n-1]<\/code> \u7684\u4e00\u4e2aLCS\uff0c\u8fd9\u4e24\u4e2aLCS\u4e2d\u8f83\u957f\u7684\u5c31\u662f <code>X[1,..,m]<\/code> \u548c <code>Y[1,..,n]<\/code> \u7684LCS\u3002<br \/>\n\u6240\u4ee5\u4e3a\u627e\u51fa <code>X[1,..,m]<\/code> \u548c <code>Y[1,..,n]<\/code> \u7684LCS\uff0c\u5fc5\u7136\u9700\u8981\u627e <code>X[1,...,m-1]<\/code> \u548c <code>Y[1,...,n-1]<\/code> \u7684LCS\u7684\u5b50\u5b50\u95ee\u9898\u3002<strong>\u56e0\u6b64\uff0cLCS\u5177\u6709\u91cd\u53e0\u5b50\u95ee\u9898\u7684\u6027\u8d28\u3002<\/strong><\/p>\n<p>\u7531\u524d\u9762\u7684\u63a8\u7406\u8fc7\u7a0b\u53ef\u5f97\u9012\u5f52\u5f0f\uff1a<\/p>\n<pre>\r\n lcs[i,j] = 0, if i=0 || j=0  \r\n       lcs[i-1][j-1]+1,  if i,j>0 && X[i]=Y[j]  \r\n       max(lcs[i,j-1], lcs[i-1][j]) if i,j>0 && X[i]!=Y[j]  \r\n <\/pre>\n<\/li>\n<li>\n<p>\u6b65\u9aa43\u3001\u81ea\u5e95\u5411\u4e0a\u8ba1\u7b97\u6700\u4f18\u89e3\u3002<br \/>\n\u9664\u4e86\u7528\u4e00\u4e2a\u8868\u6765\u4fdd\u5b58\u8ba1\u7b97\u5f97\u5230\u7684\u6700\u4f18\u89e3\uff0c\u4e00\u822c\u8fd8\u9700\u8981\u53e6\u4e00\u4e2a\u8868\u6765\u8bb0\u5f55\u5728\u591a\u4e2a\u5b50\u95ee\u9898\u4e4b\u95f4\u6240\u505a\u51fa\u7684\u9009\u62e9\uff0c\u4ee3\u7801\u5927\u81f4\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<pre><code>\r\n for i := 1; i &lt; row; i++ {\r\n     for j := 1; j &lt; col; j++ {\r\n         if X[i-1] == Y[j-1] {\r\n             lcs[i][j] = lcs[i-1][j-1] + 1\r\n             selection[i][j] = '\\\\'\r\n         } else {\r\n             max := lcs[i-1][j]\r\n             selection[i][j] = '|'\r\n             if max &lt; lcs[i][j-1] {\r\n                 max = lcs[i][j-1]\r\n                 selection[i][j] = '-'\r\n             }\r\n             lcs[i][j] = max\r\n         }\r\n     }\r\n }\r\n <\/code><\/pre>\n<\/li>\n<li>\n<p>\u6b65\u9aa44\u3001\u6784\u5efa\u6700\u4f18\u89e3\uff0c\u8fd9\u91cc\u5c31\u8f93\u51fa\u4e00\u4e2aLCS\uff1a\u4ee3\u7801\u5927\u81f4\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<pre><code>\r\n func printLCS(selection [][]int, X []int, i, j int) {\r\n      if i == 0 || j == 0 {\r\n           return\r\n      } else if selection[i][j] == '\\\\' {\r\n           printLCS(selection, X, i-1, j-1)\r\n           fmt.Printf(\"%c \", X[i-1])\r\n      } else if selection[i][j] == '|' {\r\n           printLCS(selection, X, i-1, j)\r\n      } else {\r\n           printLCS(selection, X, i, j-1)\r\n      }\r\n }\r\n <\/code><\/pre>\n<\/li>\n<\/ul>\n<p>\u8fd9\u5c31\u662f\u7528\u52a8\u6001\u89c4\u5212\u6cd5\u89e3\u9898\u7684\u5b8c\u6574\u8fc7\u7a0b\uff0c\u5305\u62ec\u4e86\u4e00\u4e9b\u8bc1\u660e\u8fc7\u7a0b\u3002<\/p>\n<h2>\u4e94\u3001\u4e00\u4e9b\u7ec3\u4e60\u9898<\/h2>\n<ul>\n<li>\n<p>\u4e00\u4e2a\u5e8f\u5217\u6709N\u4e2a\u6570\uff1a<code>A[1],A[2],\u2026,A[N]<\/code>\uff0c\u6c42\u51fa\u6700\u957f\u975e\u964d\u5b50\u5e8f\u5217\u7684\u957f\u5ea6\u3002\u5bf9\u4e8e\u5e8f\u5217 <code>5\uff0c3\uff0c4\uff0c8\uff0c6\uff0c7<\/code>\uff0c<code>3, 4, 6, 7<\/code> \u5c31\u662f\u5176\u4e2d\u4e00\u4e2a\u6700\u957f\u975e\u964d\u5b50\u5e8f\u5217\u3002<\/p>\n<\/li>\n<li>\n<p>\u5982\u679c\u6211\u4eec\u6709\u9762\u503c\u4e3a1\u5143\u30013\u5143\u548c5\u5143\u7684\u786c\u5e01\u82e5\u5e72\u679a\uff0c\u5982\u4f55\u7528\u6700\u5c11\u7684\u786c\u5e01\u51d1\u591f11\u5143\uff1f<\/p>\n<\/li>\n<\/ul>\n<hr\/>\n<p>\u6b22\u8fce\u5173\u6ce8\u6211\u7684\u5fae\u4fe1\u516c\u4f17\u53f7: <strong>coderbee\u7b14\u8bb0<\/strong>\uff0c\u53ef\u4ee5\u66f4\u53ca\u65f6\u56de\u590d\u4f60\u7684\u8ba8\u8bba\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"258\" height=\"258\" src=\"https:\/\/coderbee.net\/wp-content\/uploads\/2019\/01\/coderbee-note.jpg\" class=\"alignnone size-full wp-image-1707\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e00\u3001\u5f15\u9898 \u5728\u4e00\u4e2aN\u884cM\u5217\u7684\u4e8c\u7ef4\u6570\u7ec4vec\uff0c\u6bcf\u4e2a\u5143\u7d20\u4f4d\u7f6e\u653e\u7f6e\u4e00\u5b9a\u6570\u91cf\u7684\u82f9\u679c\uff0c\u4ece\u5e95\u90e8 &hellip; <a href=\"https:\/\/coderbee.net\/index.php\/algorithm\/20130801\/343\">\u7ee7\u7eed\u9605\u8bfb <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[53],"tags":[75,74],"_links":{"self":[{"href":"https:\/\/coderbee.net\/index.php\/wp-json\/wp\/v2\/posts\/343"}],"collection":[{"href":"https:\/\/coderbee.net\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/coderbee.net\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/coderbee.net\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/coderbee.net\/index.php\/wp-json\/wp\/v2\/comments?post=343"}],"version-history":[{"count":31,"href":"https:\/\/coderbee.net\/index.php\/wp-json\/wp\/v2\/posts\/343\/revisions"}],"predecessor-version":[{"id":1088,"href":"https:\/\/coderbee.net\/index.php\/wp-json\/wp\/v2\/posts\/343\/revisions\/1088"}],"wp:attachment":[{"href":"https:\/\/coderbee.net\/index.php\/wp-json\/wp\/v2\/media?parent=343"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/coderbee.net\/index.php\/wp-json\/wp\/v2\/categories?post=343"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/coderbee.net\/index.php\/wp-json\/wp\/v2\/tags?post=343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}