{"id":1743,"date":"2017-02-04T18:14:46","date_gmt":"2017-02-04T10:14:46","guid":{"rendered":"http:\/\/cn.hostease.com\/xueyuan\/?p=1743"},"modified":"2025-01-12T20:04:21","modified_gmt":"2025-01-12T12:04:21","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%b8%83%e9%a2%98-kmp%e7%ae%97%e6%b3%95","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%b8%83%e9%a2%98-kmp%e7%ae%97%e6%b3%95\/","title":{"rendered":"\u7ecf\u5178\u7b97\u6cd5\u9898\u6bcf\u65e5\u6f14\u7ec3\u2014\u2014\u7b2c\u4e03\u9898 KMP\u7b97\u6cd5"},"content":{"rendered":"\n<p>\u5728\u5927\u5b66\u7684\u65f6\u5019\uff0c\u5e94\u8be5\u5728\u6570\u636e\u7ed3\u6784\u91cc\u9762\u90fd\u770b\u8fc7kmp\u7b97\u6cd5\u5427\uff0c\u4e0d\u77e5\u9053\u6709\u591a\u5c11\u8001\u5e08\u5bf9\u8be5\u7b97\u6cd5\u662f\u4e00\u7b14\u5e26\u8fc7\u7684\uff0c\u81f3\u5c11\u6211\u4eec\u4ee5\u524d\u662f\u7684\uff0c<\/p>\n\n\n\n<p>\u786e\u5b9ekmp\u7b97\u6cd5\u8fd8\u662f\u6709\u70b9\u9976\u4eba\u7684\uff0c\u5982\u679c\u8bf4\u7ea2\u9ed1\u6811\u662f\u53d8\u6001\u7ea7\u7684\uff0c\u90a3\u4e48kmp\u7b97\u6cd5\u6bd4\u7ea2\u9ed1\u6811\u8fd8\u8981\u53d8\u6001\uff0c\u5f88\u62b1\u6b49\uff0c\u6bcf\u6b21\u6253kmp\u7684\u65f6\u5019\uff0c\u8f93<\/p>\n\n\n\n<p>\u5165\u6cd5\u603b\u662f\u63d0\u793a\u201c\u770b\u6bdb\u7247\u201d\u4e09\u4e2a\u5b57,\u563f\u563f\uff0c\u5c31\u53eb\u201c\u770b\u6bdb\u7247\u7b97\u6cd5\u201d\u5427\u3002<\/p>\n\n\n\n<p>\u4e00\uff1aBF\u7b97\u6cd5<\/p>\n\n\n\n<p>\u5982\u679c\u8ba9\u4f60\u5199\u5b57\u7b26\u4e32\u7684\u6a21\u5f0f\u5339\u914d\uff0c\u4f60\u53ef\u80fd\u4f1a\u5f88\u5feb\u7684\u5199\u51fa\u6734\u7d20\u7684bf\u7b97\u6cd5\uff0c\u81f3\u5c11\u95ee\u9898\u662f\u89e3\u51b3\u4e86\uff0c\u6211\u60f3\u5927\u5bb6\u5f88\u6e05\u695a\u7684\u77e5\u9053\u5b83\u7684\u65f6\u95f4\u590d<\/p>\n\n\n\n<p>\u6742\u5ea6\u4e3aO\uff08MN\uff09\uff0c\u539f\u56e0\u5f88\u7b80\u5355\uff0c\u4e3b\u4e32\u548c\u6a21\u5f0f\u4e32\u5931\u914d\u7684\u65f6\u5019\uff0c\u6211\u4eec\u603b\u662f\u5c06\u6a21\u5f0f\u4e32\u7684\u7b2c\u4e00\u4f4d\u4e0e\u4e3b\u4e32\u7684\u4e0b\u4e00\u4e2a\u5b57\u7b26\u8fdb\u884c\u6bd4\u8f83\uff0c\u6240\u4ee5\u590d\u6742<\/p>\n\n\n\n<p>\u5ea6\u9ad8\u5728\u4e3b\u4e32\u6bcf\u6b21\u5931\u914d\u7684\u65f6\u5019\u90fd\u8981\u56de\u6eaf\uff0c\u56fe\u6211\u5c31\u7701\u7565\u4e86\u3002<\/p>\n\n\n\n<p>&nbsp;<\/p>\n\n\n\n<p>\u4e8c\uff1aKMP\u7b97\u6cd5<\/p>\n\n\n\n<p>\u521a\u624d\u6211\u4eec\u4e5f\u8bf4\u4e86\uff0c\u4e3b\u4e32\u6bcf\u6b21\u90fd\u8981\u56de\u6eaf\uff0c\u4ece\u800c\u63d0\u9ad8\u4e86\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u90a3\u4e48\u80fd\u4e0d\u80fd\u5728\u201c\u4e3b\u4e32\u201d\u548c\u201c\u6a21\u5f0f\u4e32\u201d\u5931\u914d\u7684\u60c5\u51b5\u4e0b\uff0c\u4e3b\u4e32\u4e0d\u56de\u6eaf\u5462\uff1f<\/p>\n\n\n\n<p>\u800c\u662f\u8ba9\u201d\u6a21\u5f0f\u4e32\u201c\u5411\u53f3\u6ed1\u52a8\u4e00\u5b9a\u7684\u8ddd\u79bb\uff0c\u5bf9\u4e0a\u53f7\u540e\u7ee7\u7eed\u8fdb\u884c\u4e0b\u4e00\u8f6e\u7684\u5339\u914d\uff0c\u4ece\u800c\u505a\u5230\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO\uff08M+N\uff09\u5462\uff1f\u6240\u4ee5kmp\u7b97\u6cd5\u5c31\u662f<\/p>\n\n\n\n<p>\u7528\u6765\u5904\u7406\u8fd9\u4ef6\u4e8b\u60c5\u7684\uff0c\u4e0b\u9762\u6211\u4eec\u770b\u4e0b\u7b80\u5355\u7684\u4f8b\u5b50\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/cn.hostease.com\/xueyuan\/wp-content\/uploads\/2017\/02\/KMP.png\"><img loading=\"lazy\" decoding=\"async\" width=\"501\" height=\"427\" src=\"https:\/\/cn.hostease.com\/xueyuan\/wp-content\/uploads\/2017\/02\/KMP.png\" alt=\"\" class=\"wp-image-9056\" srcset=\"https:\/\/cn.hostease.com\/xueyuan\/wp-content\/uploads\/2017\/02\/KMP.png 501w, https:\/\/cn.hostease.com\/xueyuan\/wp-content\/uploads\/2017\/02\/KMP-300x256.png 300w\" sizes=\"auto, (max-width: 501px) 100vw, 501px\" \/><\/a><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>\u901a\u8fc7\u8fd9\u5f20\u56fe\uff0c\u6211\u4eec\u6765\u8ba8\u8bba\u4e0b\u5b83\u7684\u4e00\u822c\u63a8\u7406\uff0c\u5047\u8bbe\u4e3b\u4e32\u4e3aS\uff0c\u6a21\u5f0f\u4e32\u4e3aP\uff0c\u5728Si != 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next[j]=k\u3002\u6839\u636e\u516c\u5f0f\u6211\u4eec\u6709<\/p>\n\n\n\n<p>-1 &nbsp; &nbsp; &nbsp; &nbsp;\u5f53j=0\u65f6<\/p>\n\n\n\n<p>next[j] = &nbsp; max{k| 0&lt;k&lt;j \u4e14 P<sub>0<\/sub>P<sub>1<\/sub>..P<sub>k-1<\/sub>=P<sub>j-k<\/sub>P<sub>j-k+1<\/sub>&#8230;P<sub>j-1<\/sub>}<\/p>\n\n\n\n<p>0 &nbsp; &nbsp; &nbsp; &nbsp; \u5176\u4ed6\u60c5\u51b5<\/p>\n\n\n\n<p>\u597d\uff0c\u63a5\u4e0b\u6765\u7684\u95ee\u9898\u5c31\u662f\u5982\u4f55\u6c42\u51fanext[j],\u8fd9\u4e2a\u4e5f\u5c31\u662fkmp\u601d\u60f3\u7684\u6838\u5fc3\uff0c\u5bf9\u4e8enext[j]\u7684\u6c42\u6cd5\uff0c\u6211\u4eec\u91c7\u7528\u9012\u63a8\u6cd5\uff0c\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86<\/p>\n\n\n\n<p>next[j]=k\uff0c\u6211\u4eec\u6765\u6c42next[j+1]=\uff1f\u7684\u95ee\u9898\uff1f\u5176\u5b9e\u4e5f\u5c31\u662f\u4e24\u79cd\u60c5\u51b5\uff1a<\/p>\n\n\n\n<p>\u2460\uff1aP<sub>k<\/sub>=P<sub>j<\/sub> \u65f6 &nbsp;\u5219P<sub>0<\/sub>P<sub>1<\/sub>&#8230;P<sub>k<\/sub>=P<sub>j-k<\/sub>P<sub>j-k+1<\/sub>&#8230;P<sub>j<\/sub>, \u5219\u6211\u4eec\u77e5\uff1a<\/p>\n\n\n\n<p>next[j+1]=k+1\u3002<\/p>\n\n\n\n<p>\u53c8\u56e0\u4e3anext[j]=k\uff0c\u5219<\/p>\n\n\n\n<p>next[j+1]=next[j]+1\u3002<\/p>\n\n\n\n<p>\u2461\uff1aP<sub>k<\/sub>!=P<sub>j<\/sub>&nbsp;\u65f6 &nbsp;\u5219P<sub>0<\/sub>P<sub>1<\/sub>&#8230;P<sub>k<\/sub>!=P<sub>j-k<\/sub>P<sub>j-k+1<\/sub>&#8230;P<sub>j,<\/sub>\u8fd9\u79cd\u60c5\u51b5\u6211\u4eec\u6709\u70b9\u86cb\u75bc\uff0c\u5176\u5b9e\u8fd9\u91cc\u6211\u4eec\u53c8\u5c06\u6a21\u5f0f\u4e32\u7684\u5339\u914d\u95ee\u9898\u8f6c\u5316\u4e3a\u4e86\u4e0a\u9762\u6211\u4eec\u63d0\u5230<\/p>\n\n\n\n<p>\u7684\u201d\u4e3b\u4e32\u201c\u548c\u201d\u6a21\u5f0f\u4e32\u201c\u4e2d\u5bfb\u627enext\u7684\u95ee\u9898\uff0c\u4f60\u53ef\u4ee5\u7406\u89e3\u6210\u5728\u6a21\u5f0f\u4e32\u7684\u524d\u7f00\u4e32\u548c\u540e\u7f00\u4e32\u4e2d\u5bfb\u627enext[j]\u7684\u95ee\u9898\u3002\u73b0\u5728\u6211\u4eec\u7684\u601d\u8def\u5c31\u662f\u4e00\u5b9a<\/p>\n\n\n\n<p>\u8981\u627e\u5230\u8fd9\u4e2ak<sub>2<\/sub>\uff0c\u4f7f\u5f97P<sub>k2<\/sub>=P<sub>j<\/sub>\uff0c\u7136\u540e\u5c06k<sub>2<\/sub>\u4ee3\u5165\u2460\u5c31\u53ef\u4ee5\u4e86\u3002<\/p>\n\n\n\n<p>\u8bbe &nbsp; k<sub>2<\/sub>=next[k]\u3002 \u5219\u6709P<sub>0<\/sub>P<sub>1<\/sub>&#8230;P<sub>k2-1<\/sub>=P<sub>j-k2<\/sub>P<sub>j-k2+1<\/sub>&#8230;P<sub>j-1<\/sub>\u3002<\/p>\n\n\n\n<p>\u82e5 &nbsp; P<sub>j<\/sub>=P<sub>k2<\/sub>\uff0c &nbsp; &nbsp; &nbsp;\u5219 next[j+1]=k<sub>2<\/sub>+1=next[k]+1\u3002<\/p>\n\n\n\n<p>\u82e5 &nbsp; P<sub>j<\/sub>!=P<sub>k2<\/sub>, &nbsp; &nbsp; &nbsp;\u5219\u53ef\u4ee5\u7ee7\u7eed\u50cf\u4e0a\u9762\u9012\u5f52\u7684\u4f7f\u7528next\uff0c\u76f4\u5230\u4e0d\u5b58\u5728k<sub>2<\/sub>\u4e3a\u6b62\u3002<\/p>\n\n\n\n<p>\u597d\uff0c\u4e0b\u9762\u6211\u4eec\u4e0a\u4ee3\u7801\uff0c\u53ef\u80fd\u6709\u70b9\u7ed5\uff0c\u4e0d\u7ba1\u4f60\u61c2\u6ca1\u61c2\uff0c\u53cd\u6b63\u6211\u61c2\u4e86\u3002<\/p>\n\n\n\n<div class=\"cnblogs_code\">\n<div class=\"cnblogs_code_toolbar\"><span class=\"cnblogs_code_copy\"><\/span><\/div>\n<pre> 1 using System;\n 2 using System.Collections.Generic;\n 3 using System.Linq;\n 4 using System.Text;\n 5 \n 6 namespace SupportCenter.Test\n 7 {\n 8     public class Program\n 9     {\n10         static void Main(string[] args)\n11         {\n12             string zstr = \"ababcabababdc\";\n13 \n14             string mstr = \"babdc\";\n15 \n16             var index = KMP(zstr, mstr);\n17 \n18             if (index == -1)\n19                 Console.WriteLine(\"\u6ca1\u6709\u5339\u914d\u7684\u5b57\u7b26\u4e32\uff01\");\n20             else\n21                 Console.WriteLine(\"\u54c8\u54c8\uff0c\u627e\u5230\u5b57\u7b26\u5566\uff0c\u4f4d\u7f6e\u4e3a\uff1a\" + index);\n22 \n23             Console.Read();\n24         }\n25 \n26         static int KMP(string bigstr, string smallstr)\n27         {\n28             int i = 0;\n29             int j = 0;\n30 \n31             \/\/\u8ba1\u7b97\u201c\u524d\u7f00\u4e32\u201d\u548c\u201c\u540e\u7f00\u4e32\u201c\u7684next\n32             int[] next = GetNextVal(smallstr);\n33 \n34             while (i &lt; bigstr.Length &amp;&amp; j &lt; smallstr.Length)\n35             {\n36                 if (j == -1 || bigstr[i] == smallstr[j])\n37                 {\n38                     i++;\n39                     j++;\n40                 }\n41                 else\n42                 {\n43                     j = next[j];\n44                 }\n45             }\n46 \n47             if (j == smallstr.Length)\n48                 return i - smallstr.Length;\n49 \n50             return -1;\n51         }\n52 \n53         \/\/\/ &lt;summary&gt;\n54         \/\/\/ p0,p1....pk-1         \uff08\u524d\u7f00\u4e32\uff09\n55         \/\/\/ pj-k,pj-k+1....pj-1   \uff08\u540e\u7f00\u4e32)\n56         \/\/\/ &lt;\/summary&gt;\n57         \/\/\/ &lt;param name=\"match\"&gt;&lt;\/param&gt;\n58         \/\/\/ &lt;returns&gt;&lt;\/returns&gt;\n59         static int[] GetNextVal(string smallstr)\n60         {\n61             \/\/\u524d\u7f00\u4e32\u8d77\u59cb\u4f4d\u7f6e(\"-1\"\u662f\u65b9\u4fbf\u8ba1\u7b97\uff09\n62             int k = -1;\n63 \n64             \/\/\u540e\u7f00\u4e32\u8d77\u59cb\u4f4d\u7f6e\uff08\"-1\"\u662f\u65b9\u4fbf\u8ba1\u7b97\uff09\n65             int j = 0;\n66 \n67             int[] next = new int[smallstr.Length];\n68 \n69             \/\/\u6839\u636e\u516c\u5f0f\uff1a j=0\u65f6\uff0cnext[j]=-1\n70             next[j] = -1;\n71 \n72             while (j &lt; smallstr.Length - 1)\n73             {\n74                 if (k == -1 || smallstr[k] == smallstr[j])\n75                 {\n76                     \/\/pk=pj\u7684\u60c5\u51b5: next[j+1]=k+1 =&gt; next[j+1]=next[j]+1\n77                     next[++j] = ++k;\n78                 }\n79                 else\n80                 {\n81                     \/\/pk != pj \u7684\u60c5\u51b5:\u6211\u4eec\u9012\u63a8 k=next[k];\n82                     \/\/\u8981\u4e48\u627e\u5230\uff0c\u8981\u4e48k=-1\u4e2d\u6b62\n83                     k = next[k];\n84                 }\n85             }\n86 \n87             return next;\n88         }\n89     }\n90 }\n\n\n\n\n\u6587\u7ae0\u6765\u81ea\u7f51\u7edc\u535a\u5ba2\u3002\u539f\u6587\u5730\u5740\uff1ahttps:\/\/www.cnblogs.com\/huangxincheng\/archive\/2012\/12\/01\/2796993.html<\/pre>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u5927\u5b66\u7684\u65f6\u5019\uff0c\u5e94\u8be5\u5728\u6570\u636e\u7ed3\u6784\u91cc\u9762\u90fd\u770b\u8fc7kmp\u7b97\u6cd5\u5427\uff0c\u4e0d\u77e5\u9053\u6709\u591a\u5c11\u8001\u5e08\u5bf9\u8be5\u7b97\u6cd5\u662f\u4e00\u7b14\u5e26\u8fc7\u7684\uff0c\u81f3\u5c11\u6211\u4eec\u4ee5\u524d\u662f\u7684\uff0c  &#8230; <a title=\"\u7ecf\u5178\u7b97\u6cd5\u9898\u6bcf\u65e5\u6f14\u7ec3\u2014\u2014\u7b2c\u4e03\u9898 KMP\u7b97\u6cd5\" class=\"read-more\" href=\"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%b8%83%e9%a2%98-kmp%e7%ae%97%e6%b3%95\/\" aria-label=\"\u9605\u8bfb \u7ecf\u5178\u7b97\u6cd5\u9898\u6bcf\u65e5\u6f14\u7ec3\u2014\u2014\u7b2c\u4e03\u9898 KMP\u7b97\u6cd5\">\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":[540,539],"class_list":["post-1743","post","type-post","status-publish","format-standard","hentry","category-jishu","tag-kmp","tag-539"],"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\/1743","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=1743"}],"version-history":[{"count":3,"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/posts\/1743\/revisions"}],"predecessor-version":[{"id":9283,"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/posts\/1743\/revisions\/9283"}],"wp:attachment":[{"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/media?parent=1743"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/categories?post=1743"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cn.hostease.com\/xueyuan\/wp-json\/wp\/v2\/tags?post=1743"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}