{"id":1708,"date":"2017-01-27T01:43:07","date_gmt":"2017-01-26T17:43:07","guid":{"rendered":"http:\/\/cn.hostease.com\/xueyuan\/?p=1708"},"modified":"2025-01-08T16:50:28","modified_gmt":"2025-01-08T08:50:28","slug":"%e7%bb%8f%e5%85%b8%e7%ae%97%e6%b3%95%e9%a2%98%e6%af%8f%e6%97%a5%e6%bc%94%e7%bb%83-%e7%ac%ac%e4%ba%94%e9%a2%98-%e5%ad%97%e7%ac%a6%e4%b8%b2%e7%9b%b8%e4%bc%bc%e5%ba%a6","status":"publish","type":"post","link":"https:\/\/cn.hostease.com\/xueyuan\/jishu\/%e7%bb%8f%e5%85%b8%e7%ae%97%e6%b3%95%e9%a2%98%e6%af%8f%e6%97%a5%e6%bc%94%e7%bb%83-%e7%ac%ac%e4%ba%94%e9%a2%98-%e5%ad%97%e7%ac%a6%e4%b8%b2%e7%9b%b8%e4%bc%bc%e5%ba%a6\/","title":{"rendered":"\u7ecf\u5178\u7b97\u6cd5\u9898\u6bcf\u65e5\u6f14\u7ec3\u2014\u2014\u7b2c\u4e94\u9898 \u5b57\u7b26\u4e32\u76f8\u4f3c\u5ea6"},"content":{"rendered":"\n

\u8fd9\u7bc7\u6211\u4eec\u770b\u770b\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u7684\u53e6\u4e00\u4e2a\u7248\u672c\uff0c\u6c42\u5b57\u7b26\u4e32\u76f8\u4f3c\u5ea6(\u7f16\u8f91\u8ddd\u79bb)\uff0c\u6211\u4e5f\u8bf4\u8fc7\u4e86\uff0c\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u5b9e\u7528\u7684\u7b97\u6cd5\uff0c\u5728DNA\u5bf9\u6bd4\uff0c\u7f51<\/p>\n\n\n\n

\u9875\u805a\u7c7b\u7b49\u65b9\u9762\u90fd\u6709\u7528\u6b66\u4e4b\u5730\u3002<\/p>\n\n\n\n

\u4e00\uff1a\u6982\u5ff5<\/p>\n\n\n\n

\u5bf9\u4e8e\u4e24\u4e2a\u5b57\u7b26\u4e32A\u548cB\uff0c\u901a\u8fc7\u57fa\u672c\u7684\u589e\u5220\u6539\u5c06\u5b57\u7b26\u4e32A\u6539\u6210B\uff0c\u6216\u8005\u5c06B\u6539\u6210A\uff0c\u5728\u6539\u53d8\u7684\u8fc7\u7a0b\u4e2d\u6211\u4eec\u4f7f\u7528\u7684\u6700\u5c11\u6b65\u9aa4\u79f0\u4e4b\u4e3a\u201c\u7f16\u8f91\u8ddd\u79bb\u201d\u3002<\/p>\n\n\n\n

\u6bd4\u5982\u5982\u4e0b\u7684\u5b57\u7b26\u4e32\uff1a\u6211\u4eec\u901a\u8fc7\u79cd\u79cd\u64cd\u4f5c\uff0c\u75c9\u631b\u4e4b\u540e\u7f16\u8f91\u8ddd\u79bb\u4e3a3\uff0c\u4e0d\u77e5\u9053\u4f60\u770b\u51fa\u6765\u4e86\u6ca1\u6709\uff1f<\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

<\/p>\n\n\n\n

\u4e8c\uff1a\u89e3\u6790<\/p>\n\n\n\n

\u53ef\u80fd\u5927\u5bb6\u89c9\u5f97\u6709\u70b9\u590d\u6742\uff0c\u4e0d\u597d\u7406\u89e3\uff0c\u6211\u4eec\u8bd5\u7740\u628a\u8fd9\u4e2a\u5927\u95ee\u9898\u62c6\u5206\u6389\uff0c\u5c06”\u5b57\u7b26\u4e32 vs \u5b57\u7b26\u4e32\u201c\uff0c\u5206\u89e3\u6210\u201d\u5b57\u7b26 vs \u5b57\u7b26\u4e32\u201c\uff0c\u518d\u5206\u89e3<\/p>\n\n\n\n

\u6210\u201d\u5b57\u7b26 vs \u5b57\u7b26\u201c\u3002<\/p>\n\n\n\n

<1> \u201d\u5b57\u7b26\u201cvs\u201d\u5b57\u7b26\u201c<\/p>\n\n\n\n

\u8fd9\u79cd\u60c5\u51b5\u662f\u6700\u7b80\u5355\u7684\u4e86\uff0c\u6bd4\u5982\u201dA\u201c\u4e0e\u201dB\u201c\u7684\u7f16\u8f91\u8ddd\u79bb\u5f88\u663e\u7136\u662f1\u3002<\/p>\n\n\n\n

<2> \u201d\u5b57\u7b26\u201dvs”\u5b57\u7b26\u4e32”<\/p>\n\n\n\n

\u201dA\u201c\u6539\u6210\u201dAB\u201c\u7684\u7f16\u8f91\u8ddd\u79bb\u4e3a1\uff0c\u201cA\u201d\u4e0e\u201cABA\u201d\u7684\u7f16\u8f91\u8ddd\u79bb\u4e3a2\u3002<\/p>\n\n\n\n

<3>\u201c\u5b57\u7b26\u4e32\u201dvs\u201c\u5b57\u7b26\u4e32\u201d<\/p>\n\n\n\n

\u201cABA\u201d\u548c\u201cBBA\u201d\u7684\u7f16\u8f91\u8ddd\u79bb\u4e3a1\uff0c\u4ed4\u7ec6\u53d1\u73b0\u6211\u4eec\u53ef\u4ee5\u5f97\u51fa\u5982\u4e0b\u7ed3\u8bba\uff0c\u201dABA\u201c\u662f\u753123<\/sup>\u4e2a\u5b50\u5e8f\u5217\u4e0e\u201dBBA\u201c\u5b57\u7b26\u4e32\u6c42\u7684\u7684\u7f16\u8f91\u8ddd\u79bb\u96c6<\/p>\n\n\n\n

\u5408\u4e2d\u53d6\u51fa\u7684\u6700\u5c0f\u7f16\u8f91\u8ddd\u79bb\uff0c\u4e5f\u5c31\u662f\u8bf4\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\u6211\u4eec\u51fa\u73b0\u4e86\u91cd\u590d\u8ba1\u7b97\u7684\u95ee\u9898\uff0c\u6211\u5728\u6c42\u5b50\u5e8f\u5217\u201dAB\u201c\u548c\u201dBBA”\u7684\u7f16\u8f91\u8ddd\u79bb\u65f6\uff0c\u6211\u662f\u7531<\/p>\n\n\n\n

\u5b50\u5e8f\u5217\u201dA\u201c\u548c\u201dBBA\u201c\u4e0e\u201dB\u201c\u548c\u201dBBA\u201c\u4e4b\u95f4\u7684\u7f16\u8f91\u8ddd\u79bb\u4e2d\u9009\u51fa\u4e00\u4e2a\u6700\u5c0f\u503c\uff0c\u7136\u800c\u5e8f\u5217A\u548c\u5e8f\u5217B\u65e9\u4e4b\u524d\u6211\u5df2\u7ecf\u8ba1\u7b97\u8fc7\u4e86\uff0c\u8fd9\u79cd\u91cd\u590d\u8ba1\u7b97<\/p>\n\n\n\n

\u7684\u95ee\u9898\u6709\u70b9\u50cf\u201d\u6590\u6ce2\u90a3\u5951\u201d\uff0c\u6b63\u597d\u6ee1\u8db3\u201c\u52a8\u6001\u89c4\u5212\u201d\u4e2d\u7684\u6700\u4f18\u5b50\u7ed3\u6784\u548c\u91cd\u53e0\u5b50\u95ee\u9898\uff0c\u6240\u4ee5\u6211\u4eec\u51b3\u5b9a\u91c7\u7528\u52a8\u6001\u89c4\u5212\u6765\u89e3\u51b3\u3002<\/p>\n\n\n\n

 <\/p>\n\n\n\n

\u4e09\uff1a\u516c\u5f0f<\/p>\n\n\n\n

\u8ddf\u201c\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u201d\u4e00\u6837\uff0c\u6211\u4eec\u91c7\u7528\u4e00\u4e2a\u4e8c\u7ef4\u6570\u7ec4\u6765\u4fdd\u5b58\u5b57\u7b26\u4e32X\u548cY\u5f53\u524d\u7684\u4f4d\u7f6e\u7684\u6700\u5c0f\u7f16\u8f91\u8ddd\u79bb\u3002<\/p>\n\n\n\n

\u73b0\u6709\u4e24\u4e2a\u5e8f\u5217X={x1<\/sub>,x2<\/sub>,x3\uff0c<\/sub>…xi<\/sub>}\uff0cY={y1<\/sub>,y2<\/sub>,y3\uff0c<\/sub>….\uff0cyi<\/sub>}\uff0c<\/p>\n\n\n\n

\u8bbe\u4e00\u4e2aC[i,j]: \u4fdd\u5b58Xi<\/sub>\u4e0eYj<\/sub>\u7684\u5f53\u524d\u6700\u5c0f\u7684LD\u3002<\/p>\n\n\n\n

\u2460\uff1a \u5f53 Xi <\/sub>= Yi<\/sub> \u65f6\uff0c\u5219C[i,j]=C[i-1,j-1]\uff1b<\/p>\n\n\n\n

\u2461\uff1a\u5f53 Xi <\/sub>!= Yi <\/sub>\u65f6\uff0c \u5219C[i,j]=Min{C[i-1,j-1],C[i-1,j],C[i,j-1]}\uff1b<\/p>\n\n\n\n

\u6700\u7ec8\u6211\u4eec\u7684C[i,j]\u4e00\u76f4\u4fdd\u5b58\u7740\u6700\u5c0f\u7684LD\u3002<\/p>\n\n\n\n

 <\/p>\n\n\n\n

\u56db\uff1a\u4ee3\u7801<\/p>\n\n\n\n

\n
<\/a><\/figure>
<\/span><\/div>\n
 1 using System;\n 2 \n 3 namespace ConsoleApplication2\n 4 {\n 5     public class Program\n 6     {\n 7         static int[,] martix;\n 8 \n 9         static string str1 = string.Empty;\n10 \n11         static string str2 = string.Empty;\n12 \n13         static void Main(string[] args)\n14         {\n15             while (true)\n16             {\n17                 str1 = Console.ReadLine();\n18 \n19                 str2 = Console.ReadLine();\n20 \n21                 martix = new int[str1.Length + 1, str2.Length + 1];\n22 \n23                 Console.WriteLine(\"\u5b57\u7b26\u4e32 {0} \u548c {1} \u7684\u7f16\u8f91\u8ddd\u79bb\u4e3a:{2}\\n\", str1, str2, LD());\n24             }\n25         }\n26 \n27         \/\/\/ <summary>\n28         \/\/\/ \u8ba1\u7b97\u5b57\u7b26\u4e32\u7684\u7f16\u8f91\u8ddd\u79bb\n29         \/\/\/ <\/summary>\n30         \/\/\/ <returns><\/returns>\n31         public static int LD()\n32         {\n33             \/\/\u521d\u59cb\u5316\u8fb9\u754c\u503c(\u5ffd\u7565\u8ba1\u7b97\u65f6\u7684\u8fb9\u754c\u60c5\u51b5)\n34             for (int i = 0; i <= str1.Length; i++)\n35             {\n36                 martix[i, 0] = i;\n37             }\n38 \n39             for (int j = 0; j <= str2.Length; j++)\n40             {\n41                 martix[0, j] = j;\n42             }\n43 \n44             \/\/\u77e9\u9635\u7684 X \u5750\u6807\n45             for (int i = 1; i <= str1.Length; i++)\n46             {\n47                 \/\/\u77e9\u9635\u7684 Y \u5750\u6807\n48                 for (int j = 1; j <= str2.Length; j++)\n49                 {\n50                     \/\/\u76f8\u7b49\u60c5\u51b5\n51                     if (str1[i - 1] == str2[j - 1])\n52                     {\n53                         martix[i, j] = martix[i - 1, j - 1];\n54                     }\n55                     else\n56                     {\n57                         \/\/\u53d6\u201c\u5de6\u524d\u65b9\u201d\uff0c\u201c\u4e0a\u65b9\u201d\uff0c\u201c\u5de6\u65b9\u201c\u7684\u6700\u5c0f\u503c\n58                         var temp1 = Math.Min(martix[i - 1, j], martix[i, j - 1]);\n59 \n60                         \/\/\u83b7\u53d6\u6700\u5c0f\u503c\n61                         var min = Math.Min(temp1, martix[i - 1, j - 1]);\n62 \n63                         martix[i, j] = min + 1;\n64                     }\n65                 }\n66             }\n67 \n68             \/\/\u8fd4\u56de\u5b57\u7b26\u4e32\u7684\u7f16\u8f91\u8ddd\u79bb\n69             return martix[str1.Length, str2.Length];\n70         }\n71     }\n72 }<\/pre>\n
<\/a><\/figure>
<\/span><\/div>\n<\/div>\n\n\n\n
\"\"<\/a><\/figure>\n\n\n\n
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\"\"<\/a><\/figure>\n\n\n\n
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 <\/p>\n\n\n\n
 <\/p>\n\n\n\n
\u6587\u7ae0\u6765\u81ea\u7f51\u7edc\u535a\u5ba2\uff0c\u539f\u6587\u5730\u5740\uff1ahttps:\/\/www.cnblogs.com\/huangxincheng\/archive\/2012\/11\/11\/2765633.html<\/p>\n","protected":false},"excerpt":{"rendered":"
\u8fd9\u7bc7\u6211\u4eec\u770b\u770b\u6700\u957f\u516c\u5171\u5b50\u5e8f\u5217\u7684\u53e6\u4e00\u4e2a\u7248\u672c\uff0c\u6c42\u5b57\u7b26\u4e32\u76f8\u4f3c\u5ea6(\u7f16\u8f91\u8ddd\u79bb)\uff0c\u6211\u4e5f\u8bf4\u8fc7\u4e86\uff0c\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u5b9e\u7528\u7684\u7b97\u6cd5\uff0c\u5728DN … \u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[5],"tags":[],"class_list":["post-1708","post","type-post","status-publish","format-standard","hentry","category-jishu"],"aioseo_notices":[],"jetpack_featured_media_url":"","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/posts\/1708","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/comments?post=1708"}],"version-history":[{"count":4,"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/posts\/1708\/revisions"}],"predecessor-version":[{"id":9256,"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/posts\/1708\/revisions\/9256"}],"wp:attachment":[{"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/media?parent=1708"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/categories?post=1708"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/tags?post=1708"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}