{"id":3797,"date":"2019-08-23T17:33:39","date_gmt":"2019-08-23T09:33:39","guid":{"rendered":"https:\/\/damogame.cn\/wordpress\/?p=3797"},"modified":"2019-08-23T17:38:46","modified_gmt":"2019-08-23T09:38:46","slug":"%e4%bb%8e%e5%a4%b4%e5%88%b0%e5%b0%be%e5%bd%bb%e5%ba%95%e7%90%86%e8%a7%a3kmp%ef%bc%882014%e5%b9%b48%e6%9c%8822%e6%97%a5%e7%89%88%ef%bc%89","status":"publish","type":"post","link":"https:\/\/i007.cc\/wordpress\/archives\/3797","title":{"rendered":"\u4ece\u5934\u5230\u5c3e\u5f7b\u5e95\u7406\u89e3KMP\uff082014\u5e748\u670822\u65e5\u7248\uff09"},"content":{"rendered":"<div id=\"header\">\n<div id=\"HeaderTitle\"><\/div>\n<\/div>\n<div id=\"main\">\n<div id=\"post_detail\">\n<div class=\"post\">\n<p><a href=\"https:\/\/www.cnblogs.com\/ZuoAndFutureGirl\/p\/9028287.html\">\u539f\u6587\u5730\u5740<\/a><\/p>\n<p>&nbsp;<\/p>\n<div id=\"cnblogs_post_body\" class=\"blogpost-body \">\n<p>\u4f5c\u8005\uff1aJuly<br \/>\n\u65f6\u95f4\uff1a\u6700\u521d\u5199\u4e8e2011\u5e7412\u6708\uff0c2014\u5e747\u670821\u65e5\u665a10\u70b9 \u5168\u90e8\u5220\u9664\u91cd\u5199\u6210\u6b64\u6587\uff0c\u968f\u540e\u7684\u534a\u4e2a\u591a\u6708\u4e0d\u65ad\u53cd\u590d\u6539\u8fdb\u3002\u540e\u6536\u5f55\u4e8e\u65b0\u4e66\u300a<a href=\"http:\/\/item.jd.com\/11786791.html\" target=\"_blank\" rel=\"noopener noreferrer\">\u7f16\u7a0b\u4e4b\u6cd5\uff1a\u9762\u8bd5\u548c\u7b97\u6cd5\u5fc3\u5f97<\/a>\u300b\u7b2c4.4\u8282\u4e2d\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2><a name=\"t1\"><\/a>1. \u5f15\u8a00<\/h2>\n<p>\u672cKMP\u539f\u6587\u6700\u521d\u5199\u4e8e2\u5e74\u591a\u524d\u76842011\u5e7412\u6708\uff0c\u56e0\u5f53\u65f6\u521d\u6b21\u63a5\u89e6KMP\uff0c\u601d\u8def\u6df7\u4e71\u5bfc\u81f4\u5199\u4e5f\u5199\u5f97\u6df7\u4e71\u3002\u6240\u4ee5\u4e00\u76f4\u60f3\u627e\u673a\u4f1a\u91cd\u65b0\u5199\u4e0bKMP\uff0c\u4f46\u82e6\u4e8e\u4e00\u76f4\u4ee5\u6765\u5bf9KMP\u7684\u7406\u89e3\u59cb\u7ec8\u4e0d\u591f\uff0c\u6545\u624d\u8fdf\u8fdf\u6ca1\u6709\u4fee\u6539\u672c\u6587\u3002<\/p>\n<p>KMP\u672c\u8eab\u4e0d\u590d\u6742\uff0c\u4f46\u7f51\u4e0a\u7edd\u5927\u90e8\u5206\u7684\u6587\u7ae0\uff08\u5305\u62ec\u672c\u6587\u76842011\u5e74\u7248\u672c\uff09\u628a\u5b83\u8bb2\u6df7\u4e71\u4e86\u3002\u4e0b\u9762\uff0c\u54b1\u4eec\u4ece\u66b4\u529b\u5339\u914d\u7b97\u6cd5\u8bb2\u8d77\uff0c\u968f\u540e\u9610\u8ff0KMP\u7684\u6d41\u7a0b \u6b65\u9aa4\u3001next \u6570\u7ec4\u7684\u7b80\u5355\u6c42\u89e3 \u9012\u63a8\u539f\u7406 \u4ee3\u7801\u6c42\u89e3\uff0c\u63a5\u7740\u57fa\u4e8enext \u6570\u7ec4\u5339\u914d\uff0c\u8c08\u5230\u6709\u9650\u72b6\u6001\u81ea\u52a8\u673a\uff0cnext \u6570\u7ec4\u7684\u4f18\u5316\uff0cKMP\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790\uff0c\u6700\u540e\u7b80\u8981\u4ecb\u7ecd\u4e24\u4e2aKMP\u7684\u6269\u5c55\u7b97\u6cd5\u3002<\/p>\n<p>\u5168\u6587\u529b\u56fe\u7ed9\u4f60\u4e00\u4e2a\u6700\u4e3a\u5b8c\u6574\u6700\u4e3a\u6e05\u6670\u7684KMP\uff0c\u5e0c\u671b\u66f4\u591a\u7684\u4eba\u4e0d\u518d\u88abKMP\u6298\u78e8\u6216\u7ea0\u7f20\uff0c\u4e0d\u518d\u88ab\u4e00\u4e9b\u6df7\u4e71\u7684\u6587\u7ae0\u6240\u6df7\u4e71\u3002\u6709\u4f55\u7591\u95ee\uff0c\u6b22\u8fce\u968f\u65f6\u7559\u8a00\u8bc4\u8bba\uff0cthanks\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2><a name=\"t2\"><\/a>2. \u66b4\u529b\u5339\u914d\u7b97\u6cd5<\/h2>\n<p>\u5047\u8bbe\u73b0\u5728\u6211\u4eec\u9762\u4e34\u8fd9\u6837\u4e00\u4e2a\u95ee\u9898\uff1a\u6709\u4e00\u4e2a\u6587\u672c\u4e32S\uff0c\u548c\u4e00\u4e2a\u6a21\u5f0f\u4e32P\uff0c\u73b0\u5728\u8981\u67e5\u627eP\u5728S\u4e2d\u7684\u4f4d\u7f6e\uff0c\u600e\u4e48\u67e5\u627e\u5462\uff1f<\/p>\n<p>\u5982\u679c\u7528\u66b4\u529b\u5339\u914d\u7684\u601d\u8def\uff0c\u5e76\u5047\u8bbe\u73b0\u5728\u6587\u672c\u4e32S\u5339\u914d\u5230 i \u4f4d\u7f6e\uff0c\u6a21\u5f0f\u4e32P\u5339\u914d\u5230 j \u4f4d\u7f6e\uff0c\u5219\u6709\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373S[i] == P[j]\uff09\uff0c\u5219i++\uff0cj++\uff0c\u7ee7\u7eed\u5339\u914d\u4e0b\u4e00\u4e2a\u5b57\u7b26\uff1b<\/li>\n<li>\u5982\u679c\u5931\u914d\uff08\u5373S[i]! = P[j]\uff09\uff0c\u4ee4i = i &#8211; (j &#8211; 1)\uff0cj = 0\u3002\u76f8\u5f53\u4e8e\u6bcf\u6b21\u5339\u914d\u5931\u8d25\u65f6\uff0ci \u56de\u6eaf\uff0cj \u88ab\u7f6e\u4e3a0\u3002<\/li>\n<\/ul>\n<div>\u00a0 \u00a0 \u7406\u6e05\u695a\u4e86\u66b4\u529b\u5339\u914d\u7b97\u6cd5\u7684\u6d41\u7a0b\u53ca\u5185\u5728\u7684\u903b\u8f91\uff0c\u54b1\u4eec\u53ef\u4ee5\u5199\u51fa\u66b4\u529b\u5339\u914d\u7684\u4ee3\u7801\uff0c\u5982\u4e0b\uff1a<\/div>\n<div>\n<div class=\"dp-highlighter bg_cpp\">\n<div class=\"bar\">\n<div class=\"tools\"><strong><br \/>\n<\/strong><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<ol class=\"dp-cpp\" start=\"1\">\n<li class=\"alt\"><span class=\"datatypes\">int\u00a0ViolentMatch(char*\u00a0s,\u00a0char*\u00a0p)\u00a0\u00a0<\/span><\/li>\n<li>{<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0sLen\u00a0=\u00a0strlen(s);\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0pLen\u00a0=\u00a0strlen(p);\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\"><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0i\u00a0=\u00a00;\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0j\u00a0=\u00a00;\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">while\u00a0(i\u00a0&lt;\u00a0sLen\u00a0&amp;&amp;\u00a0j\u00a0&lt;\u00a0pLen)\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">if\u00a0(s[i]\u00a0==\u00a0p[j])\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/\u2460\u5982\u679c\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373S[i]\u00a0==\u00a0P[j]\uff09\uff0c\u5219i++\uff0cj++\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0i++;<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0j++;<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">else\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/\u2461\u5982\u679c\u5931\u914d\uff08\u5373S[i]!\u00a0=\u00a0P[j]\uff09\uff0c\u4ee4i\u00a0=\u00a0i\u00a0&#8211;\u00a0(j\u00a0&#8211;\u00a01)\uff0cj\u00a0=\u00a00\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0i\u00a0=\u00a0i\u00a0&#8211;\u00a0j\u00a0+\u00a01;<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0j\u00a0=\u00a00;<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/\u5339\u914d\u6210\u529f\uff0c\u8fd4\u56de\u6a21\u5f0f\u4e32p\u5728\u6587\u672c\u4e32s\u4e2d\u7684\u4f4d\u7f6e\uff0c\u5426\u5219\u8fd4\u56de-1\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">if\u00a0(j\u00a0==\u00a0pLen)\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">return\u00a0i\u00a0&#8211;\u00a0j;\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">else\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">return\u00a0-1;\u00a0\u00a0<\/span><\/li>\n<li>}<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p>\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u5982\u679c\u7ed9\u5b9a\u6587\u672c\u4e32S\u201cBBC ABCDAB ABCDABCDABDE\u201d\uff0c\u548c\u6a21\u5f0f\u4e32P\u201cABCDABD\u201d\uff0c\u73b0\u5728\u8981\u62ff\u6a21\u5f0f\u4e32P\u53bb\u8ddf\u6587\u672c\u4e32S\u5339\u914d\uff0c\u6574\u4e2a\u8fc7\u7a0b\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n<p><span class=\"Apple-converted-space\">\u00a0<em>1.<\/em>\u00a0S[0]\u4e3aB\uff0cP[0]\u4e3aA\uff0c\u4e0d\u5339\u914d\uff0c\u6267\u884c\u7b2c\u2461\u6761\u6307\u4ee4\uff1a\u201c\u5982\u679c\u5931\u914d\uff08\u5373S[i]! = P[j]\uff09\uff0c\u4ee4i = i &#8211; (j &#8211; 1)\uff0cj = 0\u201d\uff0cS[1]\u8ddfP[0]\u5339\u914d\uff0c\u76f8\u5f53\u4e8e\u6a21\u5f0f\u4e32\u8981\u5f80\u53f3\u79fb\u52a8\u4e00\u4f4d\uff08i=1\uff0cj=0\uff09<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140723224710203\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0<em>2<\/em>. S[1]\u8ddfP[0]\u8fd8\u662f\u4e0d\u5339\u914d\uff0c\u7ee7\u7eed\u6267\u884c\u7b2c\u2461\u6761\u6307\u4ee4\uff1a\u201c\u5982\u679c\u5931\u914d\uff08\u5373S[i]! = P[j]\uff09\uff0c\u4ee4i = i &#8211; (j &#8211; 1)\uff0cj = 0\u201d\uff0cS[2]\u8ddfP[0]\u5339\u914d\uff08i=2\uff0cj=0\uff09\uff0c\u4ece\u800c\u6a21\u5f0f\u4e32\u4e0d\u65ad\u7684\u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\uff08\u4e0d\u65ad\u7684\u6267\u884c\u201c\u4ee4i = i &#8211; (j &#8211; 1)\uff0cj = 0\u201d\uff0ci\u4ece2\u53d8\u52304\uff0cj\u4e00\u76f4\u4e3a0\uff09<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140726213551553\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0<em>3<\/em>. \u76f4\u5230S[4]\u8ddfP[0]\u5339\u914d\u6210\u529f\uff08i=4\uff0cj=0\uff09\uff0c\u6b64\u65f6\u6309\u7167\u4e0a\u9762\u7684\u66b4\u529b\u5339\u914d\u7b97\u6cd5\u7684\u601d\u8def\uff0c\u8f6c\u800c\u6267\u884c\u7b2c\u2460\u6761\u6307\u4ee4\uff1a\u201c\u5982\u679c\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373S[i] == P[j]\uff09\uff0c\u5219i++\uff0cj++\u201d\uff0c\u53ef\u5f97S[i]\u4e3aS[5]\uff0cP[j]\u4e3aP[1]\uff0c\u5373\u63a5\u4e0b\u6765S[5]\u8ddfP[1]\u5339\u914d\uff08i=5\uff0cj=1\uff09<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140726213602848\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0 \u00a0\u00a0<em>4<\/em>. S[5]\u8ddfP[1]\u5339\u914d\u6210\u529f\uff0c\u7ee7\u7eed\u6267\u884c\u7b2c\u2460\u6761\u6307\u4ee4\uff1a\u201c\u5982\u679c\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373S[i] == P[j]\uff09\uff0c\u5219i++\uff0cj++\u201d\uff0c\u5f97\u5230S[6]\u8ddfP[2]\u5339\u914d\uff08i=6\uff0cj=2\uff09\uff0c\u5982\u6b64\u8fdb\u884c\u4e0b\u53bb<br \/>\n<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140726213343578\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0<em>5<\/em>. \u76f4\u5230S[10]\u4e3a\u7a7a\u683c\u5b57\u7b26\uff0cP[6]\u4e3a\u5b57\u7b26D\uff08i=10\uff0cj=6\uff09\uff0c\u56e0\u4e3a\u4e0d\u5339\u914d\uff0c\u91cd\u65b0\u6267\u884c\u7b2c\u2461\u6761\u6307\u4ee4\uff1a\u201c\u5982\u679c\u5931\u914d\uff08\u5373S[i]! = P[j]\uff09\uff0c\u4ee4i = i &#8211; (j &#8211; 1)\uff0cj = 0\u201d\uff0c\u76f8\u5f53\u4e8eS[5]\u8ddfP[0]\u5339\u914d\uff08i=5\uff0cj=0\uff09<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140726213353687\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0 \u00a0\u00a0<em>6<\/em>. \u81f3\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u5982\u679c\u6309\u7167\u66b4\u529b\u5339\u914d\u7b97\u6cd5\u7684\u601d\u8def\uff0c\u5c3d\u7ba1\u4e4b\u524d\u6587\u672c\u4e32\u548c\u6a21\u5f0f\u4e32\u5df2\u7ecf\u5206\u522b\u5339\u914d\u5230\u4e86S[9]\u3001P[5]\uff0c\u4f46\u56e0\u4e3aS[10]\u8ddfP[6]\u4e0d\u5339\u914d\uff0c\u6240\u4ee5\u6587\u672c\u4e32\u56de\u6eaf\u5230S[5]\uff0c\u6a21\u5f0f\u4e32\u56de\u6eaf\u5230P[0]\uff0c\u4ece\u800c\u8ba9S[5]\u8ddfP[0]\u5339\u914d\u3002<br \/>\n<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140726213631208\" alt=\"\" \/><\/p>\n<p>\u800cS[5]\u80af\u5b9a\u8ddfP[0]\u5931\u914d\u3002\u4e3a\u4ec0\u4e48\u5462\uff1f\u56e0\u4e3a\u5728\u4e4b\u524d\u7b2c4\u6b65\u5339\u914d\u4e2d\uff0c\u6211\u4eec\u5df2\u7ecf\u5f97\u77e5S[5] = P[1] = B\uff0c\u800cP[0] = A\uff0c\u5373P[1] != P[0]\uff0c\u6545S[5]\u5fc5\u5b9a\u4e0d\u7b49\u4e8eP[0]\uff0c\u6240\u4ee5\u56de\u6eaf\u8fc7\u53bb\u5fc5\u7136\u4f1a\u5bfc\u81f4\u5931\u914d\u3002\u90a3\u6709\u6ca1\u6709\u4e00\u79cd\u7b97\u6cd5\uff0c\u8ba9i \u4e0d\u5f80\u56de\u9000\uff0c\u53ea\u9700\u8981\u79fb\u52a8j \u5373\u53ef\u5462\uff1f<\/p>\n<p>\u7b54\u6848\u662f\u80af\u5b9a\u7684\u3002\u8fd9\u79cd\u7b97\u6cd5\u5c31\u662f\u672c\u6587\u7684\u4e3b\u65e8KMP\u7b97\u6cd5\uff0c\u5b83\u5229\u7528\u4e4b\u524d\u5df2\u7ecf\u90e8\u5206\u5339\u914d\u8fd9\u4e2a\u6709\u6548\u4fe1\u606f\uff0c\u4fdd\u6301i \u4e0d\u56de\u6eaf\uff0c\u901a\u8fc7\u4fee\u6539j \u7684\u4f4d\u7f6e\uff0c\u8ba9\u6a21\u5f0f\u4e32\u5c3d\u91cf\u5730\u79fb\u52a8\u5230\u6709\u6548\u7684\u4f4d\u7f6e\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2><a name=\"t3\"><\/a>3. KMP\u7b97\u6cd5<\/h2>\n<h3><a name=\"t4\"><\/a>3.1 \u5b9a\u4e49<\/h3>\n<div>\u00a0 \u00a0\u00a0Knuth-Morris-Pratt \u5b57\u7b26\u4e32\u67e5\u627e\u7b97\u6cd5\uff0c\u7b80\u79f0\u4e3a \u201cKMP\u7b97\u6cd5\u201d\uff0c\u5e38\u7528\u4e8e\u5728\u4e00\u4e2a\u6587\u672c\u4e32S\u5185\u67e5\u627e\u4e00\u4e2a\u6a21\u5f0f\u4e32P \u7684\u51fa\u73b0\u4f4d\u7f6e\uff0c\u8fd9\u4e2a\u7b97\u6cd5\u7531Donald Knuth\u3001Vaughan Pratt\u3001James H. Morris\u4e09\u4eba\u4e8e1977\u5e74\u8054\u5408\u53d1\u8868\uff0c\u6545\u53d6\u8fd93\u4eba\u7684\u59d3\u6c0f\u547d\u540d\u6b64\u7b97\u6cd5\u3002<\/div>\n<div>\u00a0 \u00a0 \u4e0b\u9762\u5148\u76f4\u63a5\u7ed9\u51faKMP\u7684\u7b97\u6cd5\u6d41\u7a0b\uff08\u5982\u679c\u611f\u5230\u4e00\u70b9\u70b9\u4e0d\u9002\uff0c\u6ca1\u5173\u7cfb\uff0c\u575a\u6301\u4e0b\uff0c\u7a0d\u540e\u4f1a\u6709\u5177\u4f53\u6b65\u9aa4\u53ca\u89e3\u91ca\uff0c\u8d8a\u5f80\u540e\u770b\u8d8a\u4f1a\u67f3\u6697\u82b1\u660e\u263a\uff09\uff1a<\/div>\n<div>\n<ul>\n<li>\u5047\u8bbe\u73b0\u5728\u6587\u672c\u4e32S\u5339\u914d\u5230 i \u4f4d\u7f6e\uff0c\u6a21\u5f0f\u4e32P\u5339\u914d\u5230 j \u4f4d\u7f6e\n<ul>\n<li>\u5982\u679cj = -1\uff0c\u6216\u8005\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373S[i] == P[j]\uff09\uff0c\u90fd\u4ee4i++\uff0cj++\uff0c\u7ee7\u7eed\u5339\u914d\u4e0b\u4e00\u4e2a\u5b57\u7b26\uff1b<\/li>\n<li>\u5982\u679cj != -1\uff0c\u4e14\u5f53\u524d\u5b57\u7b26\u5339\u914d\u5931\u8d25\uff08\u5373S[i] != P[j]\uff09\uff0c\u5219\u4ee4 i \u4e0d\u53d8\uff0cj = next[j]\u3002\u6b64\u4e3e\u610f\u5473\u7740\u5931\u914d\u65f6\uff0c\u6a21\u5f0f\u4e32P\u76f8\u5bf9\u4e8e\u6587\u672c\u4e32S\u5411\u53f3\u79fb\u52a8\u4e86j &#8211; next [j] \u4f4d\u3002\n<ul>\n<li>\u6362\u8a00\u4e4b\uff0c\u5f53\u5339\u914d\u5931\u8d25\u65f6\uff0c\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8\u7684\u4f4d\u6570\u4e3a\uff1a\u5931\u914d\u5b57\u7b26\u6240\u5728\u4f4d\u7f6e &#8211; \u5931\u914d\u5b57\u7b26\u5bf9\u5e94\u7684next \u503c\uff08next \u6570\u7ec4\u7684\u6c42\u89e3\u4f1a\u5728\u4e0b\u6587\u7684<a href=\"http:\/\/blog.csdn.net\/v_july_v\/article\/details\/7041827#t9\" target=\"_blank\" rel=\"noopener noreferrer\">3.3.3\u8282<\/a>\u4e2d\u8be6\u7ec6\u9610\u8ff0\uff09\uff0c\u5373\u79fb\u52a8\u7684\u5b9e\u9645\u4f4d\u6570\u4e3a\uff1aj &#8211; next[j]\uff0c\u4e14\u6b64\u503c\u5927\u4e8e\u7b49\u4e8e1\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u5f88\u5feb\uff0c\u4f60\u4e5f\u4f1a\u610f\u8bc6\u5230next \u6570\u7ec4\u5404\u503c\u7684\u542b\u4e49\uff1a\u4ee3\u8868\u5f53\u524d\u5b57\u7b26\u4e4b\u524d\u7684\u5b57\u7b26\u4e32\u4e2d\uff0c\u6709\u591a\u5927\u957f\u5ea6\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\u3002\u4f8b\u5982\u5982\u679cnext [j] = k\uff0c\u4ee3\u8868j \u4e4b\u524d\u7684\u5b57\u7b26\u4e32\u4e2d\u6709\u6700\u5927\u957f\u5ea6\u4e3a<em>k<\/em><span class=\"Apple-converted-space\">\u00a0\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\u3002<\/span><\/p>\n<\/div>\n<div>\u00a0 \u00a0 \u6b64\u4e5f\u610f\u5473\u7740\u5728\u67d0\u4e2a\u5b57\u7b26\u5931\u914d\u65f6\uff0c\u8be5\u5b57\u7b26\u5bf9\u5e94\u7684next \u503c\u4f1a\u544a\u8bc9\u4f60\u4e0b\u4e00\u6b65\u5339\u914d\u4e2d\uff0c\u6a21\u5f0f\u4e32\u5e94\u8be5\u8df3\u5230\u54ea\u4e2a\u4f4d\u7f6e\uff08\u8df3\u5230next [j] \u7684\u4f4d\u7f6e\uff09\u3002\u5982\u679cnext [j] \u7b49\u4e8e0\u6216-1\uff0c\u5219\u8df3\u5230\u6a21\u5f0f\u4e32\u7684\u5f00\u5934\u5b57\u7b26\uff0c\u82e5next [j] = k \u4e14 k &gt; 0\uff0c\u4ee3\u8868\u4e0b\u6b21\u5339\u914d\u8df3\u5230j \u4e4b\u524d\u7684\u67d0\u4e2a\u5b57\u7b26\uff0c\u800c\u4e0d\u662f\u8df3\u5230\u5f00\u5934\uff0c\u4e14\u5177\u4f53\u8df3\u8fc7\u4e86k \u4e2a\u5b57\u7b26\u3002<\/div>\n<div>\u00a0 \u00a0 \u8f6c\u6362\u6210\u4ee3\u7801\u8868\u793a\uff0c\u5219\u662f\uff1a<\/div>\n<div>\n<div class=\"dp-highlighter bg_cpp\">\n<div class=\"bar\">\n<div class=\"tools\"><strong><br \/>\n<\/strong><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<ol class=\"dp-cpp\" start=\"1\">\n<li class=\"alt\"><span class=\"datatypes\">int\u00a0KmpSearch(char*\u00a0s,\u00a0char*\u00a0p)\u00a0\u00a0<\/span><\/li>\n<li>{<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0i\u00a0=\u00a00;\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0j\u00a0=\u00a00;\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0sLen\u00a0=\u00a0strlen(s);\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0pLen\u00a0=\u00a0strlen(p);\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">while\u00a0(i\u00a0&lt;\u00a0sLen\u00a0&amp;&amp;\u00a0j\u00a0&lt;\u00a0pLen)\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/\u2460\u5982\u679cj\u00a0=\u00a0-1\uff0c\u6216\u8005\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373S[i]\u00a0==\u00a0P[j]\uff09\uff0c\u90fd\u4ee4i++\uff0cj++\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">if\u00a0(j\u00a0==\u00a0-1\u00a0||\u00a0s[i]\u00a0==\u00a0p[j])\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0i++;<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0j++;<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">else\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/\u2461\u5982\u679cj\u00a0!=\u00a0-1\uff0c\u4e14\u5f53\u524d\u5b57\u7b26\u5339\u914d\u5931\u8d25\uff08\u5373S[i]\u00a0!=\u00a0P[j]\uff09\uff0c\u5219\u4ee4\u00a0i\u00a0\u4e0d\u53d8\uff0cj\u00a0=\u00a0next[j]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/next[j]\u5373\u4e3aj\u6240\u5bf9\u5e94\u7684next\u503c\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0j\u00a0=\u00a0next[j];<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">if\u00a0(j\u00a0==\u00a0pLen)\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">return\u00a0i\u00a0&#8211;\u00a0j;\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">else\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">return\u00a0-1;\u00a0\u00a0<\/span><\/li>\n<li>}<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<div>\u00a0 \u00a0 \u7ee7\u7eed\u62ff\u4e4b\u524d\u7684\u4f8b\u5b50\u6765\u8bf4\uff0c\u5f53S[10]\u8ddfP[6]\u5339\u914d\u5931\u8d25\u65f6\uff0cKMP\u4e0d\u662f\u8ddf\u66b4\u529b\u5339\u914d\u90a3\u6837\u7b80\u5355\u7684\u628a\u6a21\u5f0f\u4e32\u53f3\u79fb\u4e00\u4f4d\uff0c\u800c\u662f\u6267\u884c\u7b2c\u2461\u6761\u6307\u4ee4\uff1a\u201c\u5982\u679cj != -1\uff0c\u4e14\u5f53\u524d\u5b57\u7b26\u5339\u914d\u5931\u8d25\uff08\u5373S[i] != P[j]\uff09\uff0c\u5219\u4ee4 i \u4e0d\u53d8\uff0cj = next[j]\u201d\uff0c\u5373j \u4ece6\u53d8\u52302\uff08\u540e\u9762\u6211\u4eec\u5c06\u6c42\u5f97P[6]\uff0c\u5373\u5b57\u7b26D\u5bf9\u5e94\u7684next \u503c\u4e3a2\uff09\uff0c\u6240\u4ee5\u76f8\u5f53\u4e8e\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8\u7684\u4f4d\u6570\u4e3aj &#8211; next[j]\uff08j &#8211; next[j] =\u00a06-2 = 4\uff09\u3002<\/div>\n<div>\n<div><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140726213353687\" alt=\"\" \/><\/div>\n<p>\u5411\u53f3\u79fb\u52a84\u4f4d\u540e\uff0cS[10]\u8ddfP[2]\u7ee7\u7eed\u5339\u914d\u3002\u4e3a\u4ec0\u4e48\u8981\u5411\u53f3\u79fb\u52a84\u4f4d\u5462\uff0c\u56e0\u4e3a\u79fb\u52a84\u4f4d\u540e\uff0c\u6a21\u5f0f\u4e32\u4e2d\u53c8\u6709\u4e2a\u201cAB\u201d\u53ef\u4ee5\u7ee7\u7eed\u8ddfS[8]S[9]\u5bf9\u5e94\u7740\uff0c\u4ece\u800c\u4e0d\u7528\u8ba9i \u56de\u6eaf\u3002\u76f8\u5f53\u4e8e\u5728\u9664\u53bb\u5b57\u7b26D\u7684\u6a21\u5f0f\u4e32\u5b50\u4e32\u4e2d\u5bfb\u627e\u76f8\u540c\u7684\u524d\u7f00\u548c\u540e\u7f00\uff0c\u7136\u540e\u6839\u636e\u524d\u7f00\u540e\u7f00\u6c42\u51fanext \u6570\u7ec4\uff0c\u6700\u540e\u57fa\u4e8enext \u6570\u7ec4\u8fdb\u884c\u5339\u914d\uff08\u4e0d\u5173\u5fc3next \u6570\u7ec4\u662f\u600e\u4e48\u6c42\u6765\u7684\uff0c\u53ea\u60f3\u770b\u5339\u914d\u8fc7\u7a0b\u662f\u548b\u6837\u7684\uff0c\u53ef\u76f4\u63a5\u8df3\u5230\u4e0b\u6587<a href=\"http:\/\/blog.csdn.net\/v_july_v\/article\/details\/7041827#t10\" target=\"_blank\" rel=\"noopener noreferrer\">3.3.4\u8282<\/a>\uff09\u3002<\/p>\n<\/div>\n<div>\n<div><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223539765\" alt=\"\" \/><\/div>\n<h3><a name=\"t5\"><\/a>3.2 \u6b65\u9aa4<\/h3>\n<\/div>\n<div>\n<ul>\n<li>\u2460\u5bfb\u627e\u524d\u7f00\u540e\u7f00\u6700\u957f\u516c\u5171\u5143\u7d20\u957f\u5ea6\n<ul>\n<li>\u5bf9\u4e8eP = p0 p1 &#8230;pj-1 pj\uff0c\u5bfb\u627e\u6a21\u5f0f\u4e32P\u4e2d\u957f\u5ea6\u6700\u5927\u4e14\u76f8\u7b49\u7684\u524d\u7f00\u548c\u540e\u7f00\u3002\u5982\u679c\u5b58\u5728p0 p1 &#8230;pk-1 pk = pj- k pj-k+1&#8230;pj-1 pj\uff0c\u90a3\u4e48\u5728\u5305\u542bpj\u7684\u6a21\u5f0f\u4e32\u4e2d\u6709\u6700\u5927\u957f\u5ea6\u4e3ak+1\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\u3002\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u5982\u679c\u7ed9\u5b9a\u7684\u6a21\u5f0f\u4e32\u4e3a\u201cabab\u201d\uff0c\u90a3\u4e48\u5b83\u7684\u5404\u4e2a\u5b50\u4e32\u7684\u524d\u7f00\u540e\u7f00\u7684\u516c\u5171\u5143\u7d20\u7684\u6700\u5927\u957f\u5ea6\u5982\u4e0b\u8868\u683c\u6240\u793a\uff1a<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140819173639786\" alt=\"\" \/><\/p>\n<blockquote><p>\u6bd4\u5982\u5bf9\u4e8e\u5b57\u7b26\u4e32aba\u6765\u8bf4\uff0c\u5b83\u6709\u957f\u5ea6\u4e3a1\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00a\uff1b\u800c\u5bf9\u4e8e\u5b57\u7b26\u4e32abab\u6765\u8bf4\uff0c\u5b83\u6709\u957f\u5ea6\u4e3a2\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00ab\uff08\u76f8\u540c\u524d\u7f00\u540e\u7f00\u7684\u957f\u5ea6\u4e3ak + 1\uff0ck + 1 = 2\uff09\u3002<\/p><\/blockquote>\n<div>\n<ul>\n<li>\u2461\u6c42next\u6570\u7ec4\n<ul>\n<li>next \u6570\u7ec4\u8003\u8651\u7684\u662f\u9664\u5f53\u524d\u5b57\u7b26\u5916\u7684\u6700\u957f\u76f8\u540c\u524d\u7f00\u540e\u7f00\uff0c\u6240\u4ee5\u901a\u8fc7\u7b2c\u2460\u6b65\u9aa4\u6c42\u5f97\u5404\u4e2a\u524d\u7f00\u540e\u7f00\u7684\u516c\u5171\u5143\u7d20\u7684\u6700\u5927\u957f\u5ea6\u540e\uff0c\u53ea\u8981\u7a0d\u4f5c\u53d8\u5f62\u5373\u53ef\uff1a\u5c06\u7b2c\u2460\u6b65\u9aa4\u4e2d\u6c42\u5f97\u7684\u503c\u6574\u4f53\u53f3\u79fb\u4e00\u4f4d\uff0c\u7136\u540e\u521d\u503c\u8d4b\u4e3a-1\uff0c\u5982\u4e0b\u8868\u683c\u6240\u793a\uff1a<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140819173649739\" alt=\"\" \/><\/p>\n<blockquote><p>\u6bd4\u5982\u5bf9\u4e8eaba\u6765\u8bf4\uff0c\u7b2c3\u4e2a\u5b57\u7b26a\u4e4b\u524d\u7684\u5b57\u7b26\u4e32ab\u4e2d\u6709\u957f\u5ea6\u4e3a0\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\uff0c\u6240\u4ee5\u7b2c3\u4e2a\u5b57\u7b26a\u5bf9\u5e94\u7684next\u503c\u4e3a0\uff1b\u800c\u5bf9\u4e8eabab\u6765\u8bf4\uff0c\u7b2c4\u4e2a\u5b57\u7b26b\u4e4b\u524d\u7684\u5b57\u7b26\u4e32aba\u4e2d\u6709\u957f\u5ea6\u4e3a1\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00a\uff0c\u6240\u4ee5\u7b2c4\u4e2a\u5b57\u7b26b\u5bf9\u5e94\u7684next\u503c\u4e3a1\uff08\u76f8\u540c\u524d\u7f00\u540e\u7f00\u7684\u957f\u5ea6\u4e3ak\uff0ck = 1\uff09\u3002<\/p><\/blockquote>\n<div>\n<ul>\n<li>\u2462\u6839\u636enext\u6570\u7ec4\u8fdb\u884c\u5339\u914d\n<ul>\n<li>\u5339\u914d\u5931\u914d\uff0cj = next [j]\uff0c\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8\u7684\u4f4d\u6570\u4e3a\uff1aj &#8211; next[j]\u3002\u6362\u8a00\u4e4b\uff0c\u5f53\u6a21\u5f0f\u4e32\u7684\u540e\u7f00pj-k pj-k+1, &#8230;, pj-1 \u8ddf\u6587\u672c\u4e32si-k si-k+1, &#8230;, si-1\u5339\u914d\u6210\u529f\uff0c\u4f46pj \u8ddfsi\u5339\u914d\u5931\u8d25\u65f6\uff0c\u56e0\u4e3anext[j] = k\uff0c\u76f8\u5f53\u4e8e\u5728\u4e0d\u5305\u542bpj\u7684\u6a21\u5f0f\u4e32\u4e2d\u6709\u6700\u5927\u957f\u5ea6\u4e3ak \u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\uff0c\u5373p0 p1 &#8230;pk-1 = pj-k pj-k+1&#8230;pj-1\uff0c\u6545\u4ee4j = next[j]\uff0c\u4ece\u800c\u8ba9\u6a21\u5f0f\u4e32\u53f3\u79fbj &#8211; next[j] \u4f4d\uff0c\u4f7f\u5f97\u6a21\u5f0f\u4e32\u7684\u524d\u7f00p0 p1, &#8230;, pk-1\u5bf9\u5e94\u7740\u6587\u672c\u4e32 si-k si-k+1, &#8230;, si-1\uff0c\u800c\u540e\u8ba9pk \u8ddfsi \u7ee7\u7eed\u5339\u914d\u3002\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<div>\n<div>\n<div>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140812223633281\" alt=\"\" \/><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<div><\/div>\n<div>\u00a0 \u00a0 \u7efc\u4e0a\uff0cKMP\u7684next \u6570\u7ec4\u76f8\u5f53\u4e8e\u544a\u8bc9\u6211\u4eec\uff1a\u5f53\u6a21\u5f0f\u4e32\u4e2d\u7684\u67d0\u4e2a\u5b57\u7b26\u8ddf\u6587\u672c\u4e32\u4e2d\u7684\u67d0\u4e2a\u5b57\u7b26\u5339\u914d\u5931\u914d\u65f6\uff0c\u6a21\u5f0f\u4e32\u4e0b\u4e00\u6b65\u5e94\u8be5\u8df3\u5230\u54ea\u4e2a\u4f4d\u7f6e\u3002\u5982\u6a21\u5f0f\u4e32\u4e2d\u5728j \u5904\u7684\u5b57\u7b26\u8ddf\u6587\u672c\u4e32\u5728i \u5904\u7684\u5b57\u7b26\u5339\u914d\u5931\u914d\u65f6\uff0c\u4e0b\u4e00\u6b65\u7528next [j] \u5904\u7684\u5b57\u7b26\u7ee7\u7eed\u8ddf\u6587\u672c\u4e32i \u5904\u7684\u5b57\u7b26\u5339\u914d\uff0c\u76f8\u5f53\u4e8e\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8 j &#8211; next[j] \u4f4d\u3002<\/div>\n<div>\u00a0 \u00a0 \u63a5\u4e0b\u6765\uff0c\u5206\u522b\u5177\u4f53\u89e3\u91ca\u4e0a\u8ff03\u4e2a\u6b65\u9aa4\u3002<\/div>\n<\/div>\n<div><\/div>\n<h3><a name=\"t6\"><\/a>3.3 \u89e3\u91ca<\/h3>\n<h4>3.3.1 \u5bfb\u627e\u6700\u957f\u524d\u7f00\u540e\u7f00<\/h4>\n<div>\u00a0 \u00a0 \u5982\u679c\u7ed9\u5b9a\u7684\u6a21\u5f0f\u4e32\u662f\uff1a\u201cABCDABD\u201d\uff0c\u4ece\u5de6\u81f3\u53f3\u904d\u5386\u6574\u4e2a\u6a21\u5f0f\u4e32\uff0c\u5176\u5404\u4e2a\u5b50\u4e32\u7684\u524d\u7f00\u540e\u7f00\u5206\u522b\u5982\u4e0b\u8868\u683c\u6240\u793a\uff1a<img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140725231726921\" alt=\"\" \/><\/div>\n<div>\u00a0 \u00a0 \u4e5f\u5c31\u662f\u8bf4\uff0c\u539f\u6a21\u5f0f\u4e32\u5b50\u4e32\u5bf9\u5e94\u7684\u5404\u4e2a\u524d\u7f00\u540e\u7f00\u7684\u516c\u5171\u5143\u7d20\u7684\u6700\u5927\u957f\u5ea6\u8868\u4e3a\uff08\u4e0b\u7b80\u79f0\u300a\u6700\u5927\u957f\u5ea6\u8868\u300b\uff09\uff1a<\/div>\n<div>\n<div><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721222801918\" alt=\"\" \/><\/div>\n<blockquote>\n<div><\/div>\n<\/blockquote>\n<h4>3.3.2 \u57fa\u4e8e\u300a\u6700\u5927\u957f\u5ea6\u8868\u300b\u5339\u914d<\/h4>\n<\/div>\n<div>\u00a0 \u00a0<span class=\"Apple-converted-space\">\u00a0\u56e0\u4e3a\u6a21\u5f0f\u4e32\u4e2d\u9996\u5c3e\u53ef\u80fd\u4f1a\u6709\u91cd\u590d\u7684\u5b57\u7b26\uff0c\u6545\u53ef\u5f97\u51fa\u4e0b\u8ff0\u7ed3\u8bba\uff1a<\/span><\/div>\n<div>\n<p>\u5931\u914d\u65f6\uff0c\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8\u7684\u4f4d\u6570\u4e3a\uff1a\u5df2\u5339\u914d\u5b57\u7b26\u6570 &#8211;<\/p>\n<p>\u5931\u914d\u5b57\u7b26\u7684\u4e0a\u4e00\u4f4d\u5b57\u7b26\u6240\u5bf9\u5e94\u7684\u6700\u5927\u957f\u5ea6\u503c<\/p>\n<\/div>\n<p>\u4e0b\u9762\uff0c\u54b1\u4eec\u5c31\u7ed3\u5408\u4e4b\u524d\u7684\u300a\u6700\u5927\u957f\u5ea6\u8868\u300b\u548c\u4e0a\u8ff0\u7ed3\u8bba\uff0c\u8fdb\u884c\u5b57\u7b26\u4e32\u7684\u5339\u914d\u3002\u5982\u679c\u7ed9\u5b9a\u6587\u672c\u4e32\u201cBBC ABCDAB ABCDABCDABDE\u201d\uff0c\u548c\u6a21\u5f0f\u4e32\u201cABCDABD\u201d\uff0c\u73b0\u5728\u8981\u62ff\u6a21\u5f0f\u4e32\u53bb\u8ddf\u6587\u672c\u4e32\u5339\u914d\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140723224710203\" alt=\"\" \/><\/p>\n<ul>\n<li>1. \u56e0\u4e3a\u6a21\u5f0f\u4e32\u4e2d\u7684\u5b57\u7b26A\u8ddf\u6587\u672c\u4e32\u4e2d\u7684\u5b57\u7b26B\u3001B\u3001C\u3001\u7a7a\u683c\u4e00\u5f00\u59cb\u5c31\u4e0d\u5339\u914d\uff0c\u6240\u4ee5\u4e0d\u5fc5\u8003\u8651\u7ed3\u8bba\uff0c\u76f4\u63a5\u5c06\u6a21\u5f0f\u4e32\u4e0d\u65ad\u7684\u53f3\u79fb\u4e00\u4f4d\u5373\u53ef\uff0c\u76f4\u5230\u6a21\u5f0f\u4e32\u4e2d\u7684\u5b57\u7b26A\u8ddf\u6587\u672c\u4e32\u7684\u7b2c5\u4e2a\u5b57\u7b26A\u5339\u914d\u6210\u529f\uff1a<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140726213602848\" alt=\"\" \/><\/p>\n<div>\n<ul>\n<li><em>2<\/em>.<span class=\"Apple-converted-space\">\u00a0\u7ee7\u7eed\u5f80\u540e\u5339\u914d\uff0c\u5f53\u6a21\u5f0f\u4e32\u6700\u540e\u4e00\u4e2a\u5b57\u7b26D\u8ddf\u6587\u672c\u4e32\u5339\u914d\u65f6\u5931\u914d\uff0c\u663e\u800c\u6613\u89c1\uff0c\u6a21\u5f0f\u4e32\u9700\u8981\u5411\u53f3\u79fb\u52a8\u3002\u4f46\u5411\u53f3\u79fb\u52a8\u591a\u5c11\u4f4d\u5462\uff1f\u56e0\u4e3a\u6b64\u65f6\u5df2\u7ecf\u5339\u914d\u7684\u5b57\u7b26\u6570\u4e3a6\u4e2a\uff08ABCDAB\uff09\uff0c\u7136\u540e\u6839\u636e\u300a\u6700\u5927\u957f\u5ea6\u8868\u300b\u53ef\u5f97\u5931\u914d\u5b57\u7b26D\u7684\u4e0a\u4e00\u4f4d\u5b57\u7b26B\u5bf9\u5e94\u7684\u957f\u5ea6\u503c\u4e3a2\uff0c\u6240\u4ee5\u6839\u636e\u4e4b\u524d\u7684\u7ed3\u8bba\uff0c\u53ef\u77e5\u9700\u8981\u5411\u53f3\u79fb\u52a86 &#8211; 2 = 4 \u4f4d\u3002<\/span><\/li>\n<\/ul>\n<\/div>\n<div>\n<div><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223809617\" alt=\"\" \/><\/div>\n<\/div>\n<div>\n<ul>\n<li><em>3<\/em>. \u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a84\u4f4d\u540e\uff0c\u53d1\u73b0C\u5904\u518d\u5ea6\u5931\u914d\uff0c\u56e0\u4e3a\u6b64\u65f6\u5df2\u7ecf\u5339\u914d\u4e862\u4e2a\u5b57\u7b26\uff08AB\uff09\uff0c\u4e14\u4e0a\u4e00\u4f4d\u5b57\u7b26B\u5bf9\u5e94\u7684\u6700\u5927\u957f\u5ea6\u503c\u4e3a0\uff0c\u6240\u4ee5\u5411\u53f3\u79fb\u52a8\uff1a2 &#8211; 0 =2 \u4f4d\u3002<\/li>\n<\/ul>\n<\/div>\n<div>\n<div>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223539765\" alt=\"\" \/><\/div>\n<\/div>\n<div>\n<div>\n<ul>\n<li><em>4<\/em>. A\u4e0e\u7a7a\u683c\u5931\u914d\uff0c\u5411\u53f3\u79fb\u52a81 \u4f4d\u3002<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div>\n<div><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223823548\" alt=\"\" \/><\/div>\n<\/div>\n<div>\n<ul>\n<li><em>5<\/em>. \u7ee7\u7eed\u6bd4\u8f83\uff0c\u53d1\u73b0D\u4e0eC \u5931\u914d\uff0c\u6545\u5411\u53f3\u79fb\u52a8\u7684\u4f4d\u6570\u4e3a\uff1a\u5df2\u5339\u914d\u7684\u5b57\u7b26\u65706\u51cf\u53bb\u4e0a\u4e00\u4f4d\u5b57\u7b26B\u5bf9\u5e94\u7684\u6700\u5927\u957f\u5ea62\uff0c\u5373\u5411\u53f3\u79fb\u52a86 &#8211; 2 = 4 \u4f4d\u3002<\/li>\n<\/ul>\n<\/div>\n<div>\n<div>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223558140\" alt=\"\" \/><\/div>\n<\/div>\n<div>\n<ul>\n<li><em>6<\/em>. \u7ecf\u5386\u7b2c5\u6b65\u540e\uff0c\u53d1\u73b0\u5339\u914d\u6210\u529f\uff0c\u8fc7\u7a0b\u7ed3\u675f\u3002<\/li>\n<\/ul>\n<\/div>\n<p><span class=\"Apple-converted-space\">\u00a0<img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223611515\" alt=\"\" \/><\/span><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0 \u00a0 \u901a\u8fc7\u4e0a\u8ff0\u5339\u914d\u8fc7\u7a0b\u53ef\u4ee5\u770b\u51fa\uff0c\u95ee\u9898\u7684\u5173\u952e\u5c31\u662f\u5bfb\u627e\u6a21\u5f0f\u4e32\u4e2d\u6700\u5927\u957f\u5ea6\u7684\u76f8\u540c\u524d\u7f00\u548c\u540e\u7f00\uff0c\u627e\u5230\u4e86\u6a21\u5f0f\u4e32\u4e2d\u6bcf\u4e2a\u5b57\u7b26\u4e4b\u524d\u7684\u524d\u7f00\u548c\u540e\u7f00\u516c\u5171\u90e8\u5206\u7684\u6700\u5927\u957f\u5ea6\u540e\uff0c\u4fbf\u53ef\u57fa\u4e8e\u6b64\u5339\u914d\u3002\u800c\u8fd9\u4e2a\u6700\u5927\u957f\u5ea6\u4fbf\u6b63\u662fnext \u6570\u7ec4\u8981\u8868\u8fbe\u7684\u542b\u4e49\u3002<\/span><\/p>\n<h4>3.3.3 \u6839\u636e\u300a\u6700\u5927\u957f\u5ea6\u8868\u300b\u6c42next \u6570\u7ec4<\/h4>\n<p>\u7531\u4e0a\u6587\uff0c\u6211\u4eec\u5df2\u7ecf\u77e5\u9053\uff0c\u5b57\u7b26\u4e32\u201cABCDABD\u201d\u5404\u4e2a\u524d\u7f00\u540e\u7f00\u7684\u6700\u5927\u516c\u5171\u5143\u7d20\u957f\u5ea6\u5206\u522b\u4e3a\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721230517324\" alt=\"\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>\u800c\u4e14\uff0c\u6839\u636e\u8fd9\u4e2a\u8868\u53ef\u4ee5\u5f97\u51fa\u4e0b\u8ff0\u7ed3\u8bba<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>\u5931\u914d\u65f6\uff0c\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8\u7684\u4f4d\u6570\u4e3a\uff1a\u5df2\u5339\u914d\u5b57\u7b26\u6570<span class=\"Apple-converted-space\">\u00a0&#8211; \u5931\u914d\u5b57\u7b26\u7684\u4e0a\u4e00\u4f4d\u5b57\u7b26\u6240\u5bf9\u5e94\u7684\u6700\u5927\u957f\u5ea6\u503c<\/span><\/li>\n<\/ul>\n<div>\u00a0 \u00a0 \u4e0a\u6587\u5229\u7528\u8fd9\u4e2a\u8868\u548c\u7ed3\u8bba\u8fdb\u884c\u5339\u914d\u65f6\uff0c\u6211\u4eec\u53d1\u73b0\uff0c\u5f53\u5339\u914d\u5230\u4e00\u4e2a\u5b57\u7b26\u5931\u914d\u65f6\uff0c\u5176\u5b9e\u6ca1\u5fc5\u8981\u8003\u8651\u5f53\u524d\u5931\u914d\u7684\u5b57\u7b26\uff0c\u66f4\u4f55\u51b5\u6211\u4eec\u6bcf\u6b21\u5931\u914d\u65f6\uff0c\u90fd\u662f\u770b\u7684\u5931\u914d\u5b57\u7b26\u7684\u4e0a\u4e00\u4f4d\u5b57\u7b26\u5bf9\u5e94\u7684\u6700\u5927\u957f\u5ea6\u503c\u3002\u5982\u6b64\uff0c\u4fbf\u5f15\u51fa\u4e86next \u6570\u7ec4\u3002<\/div>\n<div>\u00a0 \u00a0 \u7ed9\u5b9a\u5b57\u7b26\u4e32\u201cABCDABD\u201d\uff0c\u53ef\u6c42\u5f97\u5b83\u7684next \u6570\u7ec4\u5982\u4e0b\uff1a<\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721230250468\" alt=\"\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>\u628anext \u6570\u7ec4\u8ddf\u4e4b\u524d\u6c42\u5f97\u7684\u6700\u5927\u957f\u5ea6\u8868\u5bf9\u6bd4\u540e\uff0c\u4e0d\u96be\u53d1\u73b0\uff0cnext \u6570\u7ec4\u76f8\u5f53\u4e8e\u201c\u6700\u5927\u957f\u5ea6\u503c\u201d \u6574\u4f53\u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\uff0c\u7136\u540e\u521d\u59cb\u503c\u8d4b\u4e3a-1\u3002\u610f\u8bc6\u5230\u4e86\u8fd9\u4e00\u70b9\uff0c\u4f60\u4f1a\u60ca\u547c\u539f\u6765next \u6570\u7ec4\u7684\u6c42\u89e3\u7adf\u7136\u5982\u6b64\u7b80\u5355\uff1a\u5c31\u662f\u627e\u6700\u5927\u5bf9\u79f0\u957f\u5ea6\u7684\u524d\u7f00\u540e\u7f00\uff0c\u7136\u540e\u6574\u4f53\u53f3\u79fb\u4e00\u4f4d\uff0c\u521d\u503c\u8d4b\u4e3a-1\uff08\u5f53\u7136\uff0c\u4f60\u4e5f\u53ef\u4ee5\u76f4\u63a5\u8ba1\u7b97\u67d0\u4e2a\u5b57\u7b26\u5bf9\u5e94\u7684next\u503c\uff0c\u5c31\u662f\u770b\u8fd9\u4e2a\u5b57\u7b26\u4e4b\u524d\u7684\u5b57\u7b26\u4e32\u4e2d\u6709\u591a\u5927\u957f\u5ea6\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\uff09\u3002<\/p>\n<p>\u6362\u8a00\u4e4b\uff0c\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u6a21\u5f0f\u4e32\uff1aABCDABD\uff0c\u5b83\u7684\u6700\u5927\u957f\u5ea6\u8868\u53canext \u6570\u7ec4\u5206\u522b\u5982\u4e0b\uff1a<\/p>\n<p><span class=\"Apple-converted-space\"><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140728110939595\" alt=\"\" \/><br \/>\n<\/span><\/p>\n<p>\u6839\u636e\u6700\u5927\u957f\u5ea6\u8868\u6c42\u51fa\u4e86next \u6570\u7ec4\u540e\uff0c\u4ece\u800c\u6709<\/p>\n<p>&nbsp;<\/p>\n<table border=\"1\" cellspacing=\"1\" cellpadding=\"1\">\n<tbody>\n<tr>\n<td>\u5931\u914d\u65f6\uff0c\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8\u7684\u4f4d\u6570\u4e3a\uff1a\u5931\u914d\u5b57\u7b26\u6240\u5728\u4f4d\u7f6e\u00a0&#8211; \u5931\u914d\u5b57\u7b26\u5bf9\u5e94\u7684next \u503c<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u800c\u540e\uff0c\u4f60\u4f1a\u53d1\u73b0\uff0c\u65e0\u8bba\u662f\u57fa\u4e8e\u300a\u6700\u5927\u957f\u5ea6\u8868\u300b\u7684\u5339\u914d\uff0c\u8fd8\u662f\u57fa\u4e8enext \u6570\u7ec4\u7684\u5339\u914d\uff0c\u4e24\u8005\u5f97\u51fa\u6765\u7684\u5411\u53f3\u79fb\u52a8\u7684\u4f4d\u6570\u662f\u4e00\u6837\u7684\u3002\u4e3a\u4ec0\u4e48\u5462\uff1f\u56e0\u4e3a\uff1a<\/p>\n<ul>\n<li>\u6839\u636e\u300a\u6700\u5927\u957f\u5ea6\u8868\u300b\uff0c\u5931\u914d\u65f6\uff0c\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8\u7684\u4f4d\u6570 = \u5df2\u7ecf\u5339\u914d\u7684\u5b57\u7b26\u6570 &#8211; \u5931\u914d\u5b57\u7b26\u7684\u4e0a\u4e00\u4f4d\u5b57\u7b26\u7684\u6700\u5927\u957f\u5ea6\u503c<\/li>\n<li>\u800c\u6839\u636e\u300anext \u6570\u7ec4\u300b\uff0c\u5931\u914d\u65f6\uff0c\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8\u7684\u4f4d\u6570 = \u5931\u914d\u5b57\u7b26\u7684\u4f4d\u7f6e &#8211; \u5931\u914d\u5b57\u7b26\u5bf9\u5e94\u7684next \u503c\n<ul>\n<li>\u5176\u4e2d\uff0c\u4ece0\u5f00\u59cb\u8ba1\u6570\u65f6\uff0c\u5931\u914d\u5b57\u7b26\u7684\u4f4d\u7f6e = \u5df2\u7ecf\u5339\u914d\u7684\u5b57\u7b26\u6570\uff08\u5931\u914d\u5b57\u7b26\u4e0d\u8ba1\u6570\uff09\uff0c\u800c\u5931\u914d\u5b57\u7b26\u5bf9\u5e94\u7684next \u503c =\u00a0\u5931\u914d\u5b57\u7b26\u7684\u4e0a\u4e00\u4f4d\u5b57\u7b26\u7684\u6700\u5927\u957f\u5ea6\u503c\uff0c\u4e24\u76f8\u6bd4\u8f83\uff0c\u7ed3\u679c\u5fc5\u7136\u5b8c\u5168\u4e00\u81f4\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u6240\u4ee5\uff0c\u4f60\u53ef\u4ee5\u628a\u300a\u6700\u5927\u957f\u5ea6\u8868\u300b\u770b\u505a\u662fnext \u6570\u7ec4\u7684\u96cf\u5f62\uff0c\u751a\u81f3\u5c31\u628a\u5b83\u5f53\u505anext \u6570\u7ec4\u4e5f\u662f\u53ef\u4ee5\u7684\uff0c\u533a\u522b\u4e0d\u8fc7\u662f\u600e\u4e48\u7528\u7684\u95ee\u9898\u3002<\/p>\n<h4>3.3.4 \u901a\u8fc7\u4ee3\u7801\u9012\u63a8\u8ba1\u7b97next \u6570\u7ec4<\/h4>\n<p>\u63a5\u4e0b\u6765\uff0c\u54b1\u4eec\u6765\u5199\u4ee3\u7801\u6c42\u4e0bnext \u6570\u7ec4\u3002<\/p>\n<p>\u57fa\u4e8e\u4e4b\u524d\u7684\u7406\u89e3\uff0c\u53ef\u77e5\u8ba1\u7b97next \u6570\u7ec4\u7684\u65b9\u6cd5\u53ef\u4ee5\u91c7\u7528\u9012\u63a8\uff1a<\/p>\n<ul>\n<li><em>1<\/em>. \u5982\u679c\u5bf9\u4e8e\u503ck\uff0c\u5df2\u6709p0 p1, &#8230;, pk-1 = pj-k pj-k+1, &#8230;, pj-1\uff0c\u76f8\u5f53\u4e8enext[j] = k\u3002\n<ul>\n<li>\u6b64\u610f\u5473\u7740\u4ec0\u4e48\u5462\uff1f\u7a76\u5176\u672c\u8d28\uff0cnext[j] = k \u4ee3\u8868p[j] \u4e4b\u524d\u7684\u6a21\u5f0f\u4e32\u5b50\u4e32\u4e2d\uff0c\u6709\u957f\u5ea6\u4e3ak \u7684\u76f8\u540c\u524d\u7f00\u548c\u540e\u7f00\u3002\u6709\u4e86\u8fd9\u4e2anext \u6570\u7ec4\uff0c\u5728KMP\u5339\u914d\u4e2d\uff0c\u5f53\u6a21\u5f0f\u4e32\u4e2dj \u5904\u7684\u5b57\u7b26\u5931\u914d\u65f6\uff0c\u4e0b\u4e00\u6b65\u7528next[j]\u5904\u7684\u5b57\u7b26\u7ee7\u7eed\u8ddf\u6587\u672c\u4e32\u5339\u914d\uff0c\u76f8\u5f53\u4e8e\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8j &#8211; next[j] \u4f4d\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u5982\u4e0b\u56fe\uff0c\u6839\u636e\u6a21\u5f0f\u4e32\u201cABCDABD\u201d\u7684next \u6570\u7ec4\u53ef\u77e5\u5931\u914d\u4f4d\u7f6e\u7684\u5b57\u7b26D\u5bf9\u5e94\u7684next \u503c\u4e3a2\uff0c\u4ee3\u8868\u5b57\u7b26D\u524d\u6709\u957f\u5ea6\u4e3a2\u7684\u76f8\u540c\u524d\u7f00\u548c\u540e\u7f00\uff08\u8fd9\u4e2a\u76f8\u540c\u7684\u524d\u7f00\u540e\u7f00\u5373\u4e3a\u201cAB\u201d\uff09\uff0c\u5931\u914d\u540e\uff0c\u6a21\u5f0f\u4e32\u9700\u8981\u5411\u53f3\u79fb\u52a8j &#8211; next [j] = 6 &#8211; 2 =4\u4f4d\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223809617\" alt=\"\" \/><\/p>\n<p>\u5411\u53f3\u79fb\u52a84\u4f4d\u540e\uff0c\u6a21\u5f0f\u4e32\u4e2d\u7684\u5b57\u7b26C\u7ee7\u7eed\u8ddf\u6587\u672c\u4e32\u5339\u914d\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223539765\" alt=\"\" \/><\/p>\n<ul>\n<li>2. \u4e0b\u9762\u7684\u95ee\u9898\u662f\uff1a\u5df2\u77e5next [0, &#8230;, j]\uff0c\u5982\u4f55\u6c42\u51fanext [j + 1]\u5462\uff1f<\/li>\n<\/ul>\n<p>\u5bf9\u4e8eP\u7684\u524dj+1\u4e2a\u5e8f\u5217\u5b57\u7b26\uff1a<\/p>\n<ul>\n<li>\u82e5p[k] == p[j]\uff0c\u5219next[j + 1 ] = next [j] + 1 = k + 1\uff1b<\/li>\n<li>\u82e5p[k ] \u2260 p[j]\uff0c\u5982\u679c\u6b64\u65f6p[\u00a0next[k]\u00a0] == p[j ]\uff0c\u5219next[ j + 1 ] = \u00a0next[k]\u00a0+ 1\uff0c\u5426\u5219\u7ee7\u7eed\u9012\u5f52\u524d\u7f00\u7d22\u5f15k = next[k]\uff0c\u800c\u540e\u91cd\u590d\u6b64\u8fc7\u7a0b\u3002\u00a0\u76f8\u5f53\u4e8e\u5728\u5b57\u7b26p[j+1]\u4e4b\u524d\u4e0d\u5b58\u5728\u957f\u5ea6\u4e3ak+1\u7684\u524d\u7f00&#8221;p0 p1, \u2026, pk-1 pk&#8221;\u8ddf\u540e\u7f00\u201cpj-k pj-k+1, \u2026, pj-1 pj&#8221;\u76f8\u7b49\uff0c\u90a3\u4e48\u662f\u5426\u53ef\u80fd\u5b58\u5728\u53e6\u4e00\u4e2a\u503ct+1 &lt; k+1\uff0c\u4f7f\u5f97\u957f\u5ea6\u66f4\u5c0f\u7684\u524d\u7f00 \u201cp0 p1, \u2026, pt-1 pt\u201d \u7b49\u4e8e\u957f\u5ea6\u66f4\u5c0f\u7684\u540e\u7f00 \u201cpj-t pj-t+1, \u2026, pj-1 pj\u201d \u5462\uff1f\u5982\u679c\u5b58\u5728\uff0c\u90a3\u4e48\u8fd9\u4e2at+1 \u4fbf\u662fnext[ j+1]\u7684\u503c\uff0c\u6b64\u76f8\u5f53\u4e8e\u5229\u7528\u5df2\u7ecf\u6c42\u5f97\u7684next \u6570\u7ec4\uff08next [0, &#8230;, k, &#8230;, j]\uff09\u8fdb\u884cP\u4e32\u524d\u7f00\u8ddfP\u4e32\u540e\u7f00\u7684\u5339\u914d\u3002<\/li>\n<\/ul>\n<div>\u00a0 \u00a0\u4e00\u822c\u7684\u6587\u7ae0\u6216\u6559\u6750\u53ef\u80fd\u5c31\u6b64\u4e00\u7b14\u5e26\u8fc7\uff0c\u4f46\u5927\u90e8\u5206\u7684\u521d\u5b66\u8005\u53ef\u80fd\u8fd8\u662f\u4e0d\u80fd\u5f88\u597d\u7684\u7406\u89e3\u4e0a\u8ff0\u6c42\u89e3next \u6570\u7ec4\u7684\u539f\u7406\uff0c\u6545\u63a5\u4e0b\u6765\uff0c\u6211\u518d\u6765\u7740\u91cd\u8bf4\u660e\u4e0b\u3002<\/div>\n<div>\u00a0 \u00a0 \u5982\u4e0b\u56fe\u6240\u793a\uff0c\u5047\u5b9a\u7ed9\u5b9a\u6a21\u5f0f\u4e32ABCDABCE\uff0c\u4e14\u5df2\u77e5next [j] = k\uff08\u76f8\u5f53\u4e8e\u201cp0 pk-1\u201d = \u201cpj-k pj-1\u201d = AB\uff0c\u53ef\u4ee5\u770b\u51fak\u4e3a2\uff09\uff0c\u73b0\u8981\u6c42next [j + 1]\u7b49\u4e8e\u591a\u5c11\uff1f\u56e0\u4e3apk = pj = C\uff0c\u6240\u4ee5next[j + 1] = next[j] + 1 = k + 1\uff08\u53ef\u4ee5\u770b\u51fanext[j + 1] = 3\uff09\u3002\u4ee3\u8868\u5b57\u7b26E\u524d\u7684\u6a21\u5f0f\u4e32\u4e2d\uff0c\u6709\u957f\u5ea6k+1 \u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\u3002<\/div>\n<div>\n<blockquote><p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140729182154066\" alt=\"\" \/><\/p><\/blockquote>\n<\/div>\n<div>\u00a0 \u00a0 \u4f46\u5982\u679cpk != pj \u5462\uff1f\u8bf4\u660e\u201cp0 pk-1 pk\u201d \u00a0\u2260 \u201cpj-k pj-1 pj\u201d\u3002\u6362\u8a00\u4e4b\uff0c\u5f53pk != pj\u540e\uff0c\u5b57\u7b26E\u524d\u6709\u591a\u5927\u957f\u5ea6\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\u5462\uff1f\u5f88\u660e\u663e\uff0c\u56e0\u4e3aC\u4e0d\u540c\u4e8eD\uff0c\u6240\u4ee5ABC \u8ddf ABD\u4e0d\u76f8\u540c\uff0c\u5373\u5b57\u7b26E\u524d\u7684\u6a21\u5f0f\u4e32\u6ca1\u6709\u957f\u5ea6\u4e3ak+1\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\uff0c\u4e5f\u5c31\u4e0d\u80fd\u518d\u7b80\u5355\u7684\u4ee4\uff1anext[j + 1] = next[j] + 1 \u3002\u6240\u4ee5\uff0c\u54b1\u4eec\u53ea\u80fd\u53bb\u5bfb\u627e\u957f\u5ea6\u66f4\u77ed\u4e00\u70b9\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\u3002<\/div>\n<div>\n<blockquote><p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140729181940812\" alt=\"\" \/><\/p><\/blockquote>\n<div>\n<div>\u00a0 \u00a0 \u7ed3\u5408\u4e0a\u56fe\u6765\u8bb2\uff0c\u82e5\u80fd\u5728\u524d\u7f00\u201c p0 pk-1 pk \u201d \u4e2d\u4e0d\u65ad\u7684\u9012\u5f52\u524d\u7f00\u7d22\u5f15k = next [k]\uff0c\u627e\u5230\u4e00\u4e2a\u5b57\u7b26pk\u2019 \u4e5f\u4e3aD\uff0c\u4ee3\u8868pk\u2019 = pj\uff0c\u4e14\u6ee1\u8db3p0 pk&#8217;-1 pk&#8217; = pj-k&#8217; pj-1 pj\uff0c\u5219\u6700\u5927\u76f8\u540c\u7684\u524d\u7f00\u540e\u7f00\u957f\u5ea6\u4e3ak&#8217; + 1\uff0c\u4ece\u800cnext [j + 1] = k\u2019 + 1 = next [k&#8217; ] + 1\u3002\u5426\u5219\u524d\u7f00\u4e2d\u6ca1\u6709D\uff0c\u5219\u4ee3\u8868\u6ca1\u6709\u76f8\u540c\u7684\u524d\u7f00\u540e\u7f00\uff0cnext [j + 1] = 0\u3002<\/div>\n<div>\u00a0 \u00a0<span class=\"Apple-converted-space\">\u00a0\u90a3\u4e3a\u4f55\u9012\u5f52\u524d\u7f00\u7d22\u5f15k = next[k]\uff0c\u5c31\u80fd\u627e\u5230\u957f\u5ea6\u66f4\u77ed\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\u5462\uff1f\u8fd9\u53c8\u5f52\u6839\u5230next\u6570\u7ec4\u7684\u542b\u4e49\u3002\u6211\u4eec\u62ff\u524d\u7f00 p0 pk-1 pk \u53bb\u8ddf\u540e\u7f00pj-k pj-1 pj\u5339\u914d\uff0c\u5982\u679cpk \u8ddfpj \u5931\u914d\uff0c\u4e0b\u4e00\u6b65\u5c31\u662f\u7528p[next[k]] \u53bb\u8ddfpj \u7ee7\u7eed\u5339\u914d\uff0c\u5982\u679cp[ next[k] ]\u8ddfpj\u8fd8\u662f\u4e0d\u5339\u914d\uff0c\u5219\u9700\u8981\u5bfb\u627e\u957f\u5ea6\u66f4\u77ed\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\uff0c\u5373\u4e0b\u4e00\u6b65\u7528p[ next[ next[k] ] ]\u53bb\u8ddfpj\u5339\u914d\u3002\u6b64\u8fc7\u7a0b\u76f8\u5f53\u4e8e\u6a21\u5f0f\u4e32\u7684\u81ea\u6211\u5339\u914d\uff0c\u6240\u4ee5\u4e0d\u65ad\u7684\u9012\u5f52k = next[k]\uff0c\u76f4\u5230\u8981\u4e48\u627e\u5230\u957f\u5ea6\u66f4\u77ed\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\uff0c\u8981\u4e48\u6ca1\u6709\u957f\u5ea6\u66f4\u77ed\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\u3002\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/span><\/div>\n<\/div>\n<\/div>\n<div>\u00a0 \u00a0<span class=\"Apple-converted-space\">\u00a0<img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20150812214857858\" alt=\"\" \/><br \/>\n<\/span><\/div>\n<div>\n<div>\n<div>\u00a0 \u00a0 \u6240\u4ee5\uff0c\u56e0\u6700\u7ec8\u5728\u524d\u7f00ABC\u4e2d\u6ca1\u6709\u627e\u5230D\uff0c\u6545E\u7684next \u503c\u4e3a0\uff1a<\/div>\n<div><\/div>\n<p>\u6a21\u5f0f\u4e32\u7684\u540e\u7f00\uff1aABDE<\/p>\n<p>\u6a21\u5f0f\u4e32\u7684\u524d\u7f00\uff1aABC<\/p>\n<p>\u524d\u7f00\u53f3\u79fb\u4e24\u4f4d\uff1a \u00a0 \u00a0\u00a0ABC<\/p>\n<\/div>\n<p>\u8bfb\u5230\u6b64\uff0c\u6709\u7684\u8bfb\u8005\u53ef\u80fd\u53c8\u6709\u7591\u95ee\u4e86\uff0c\u90a3\u80fd\u5426\u4e3e\u4e00\u4e2a\u80fd\u5728\u524d\u7f00\u4e2d\u627e\u5230\u5b57\u7b26D\u7684\u4f8b\u5b50\u5462\uff1fOK\uff0c\u54b1\u4eec\u4fbf\u6765\u770b\u4e00\u4e2a\u80fd\u5728\u524d\u7f00\u4e2d\u627e\u5230\u5b57\u7b26D\u7684\u4f8b\u5b50\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\n<\/div>\n<div>\n<div><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140809163257703\" alt=\"\" \/><\/div>\n<\/div>\n<div>\u00a0 \u00a0 \u7ed9\u5b9a\u6a21\u5f0f\u4e32DABCDABDE\uff0c\u6211\u4eec\u5f88\u987a\u5229\u7684\u6c42\u5f97\u5b57\u7b26D\u4e4b\u524d\u7684\u201cDABCDAB\u201d\u7684\u5404\u4e2a\u5b50\u4e32\u7684\u6700\u957f\u76f8\u540c\u524d\u7f00\u540e\u7f00\u7684\u957f\u5ea6\u5206\u522b\u4e3a0 0 0 0 1 2 3\uff0c\u4f46\u5f53\u904d\u5386\u5230\u5b57\u7b26D\uff0c\u8981\u6c42\u5305\u62ecD\u5728\u5185\u7684\u201cDABCDABD\u201d\u6700\u957f\u76f8\u540c\u524d\u7f00\u540e\u7f00\u65f6\uff0c\u6211\u4eec\u53d1\u73b0pj\u5904\u7684\u5b57\u7b26D\u8ddfpk\u5904\u7684\u5b57\u7b26C\u4e0d\u4e00\u6837\uff0c\u6362\u8a00\u4e4b\uff0c\u524d\u7f00DABC\u7684\u6700\u540e\u4e00\u4e2a\u5b57\u7b26C \u8ddf\u540e\u7f00DABD\u7684\u6700\u540e\u4e00\u4e2a\u5b57\u7b26D\u4e0d\u76f8\u540c\uff0c\u6240\u4ee5\u4e0d\u5b58\u5728\u957f\u5ea6\u4e3a4\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\u3002<\/div>\n<div>\u00a0 \u00a0 \u600e\u4e48\u529e\u5462\uff1f\u65e2\u7136\u6ca1\u6709\u957f\u5ea6\u4e3a4\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\uff0c\u54b1\u4eec\u53ef\u4ee5\u5bfb\u627e\u957f\u5ea6\u77ed\u70b9\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\uff0c\u6700\u7ec8\uff0c\u56e0\u5728p0\u5904\u53d1\u73b0\u4e5f\u6709\u4e2a\u5b57\u7b26D\uff0cp0 = pj\uff0c\u6240\u4ee5p[j]\u5bf9\u5e94\u7684\u957f\u5ea6\u503c\u4e3a1\uff0c\u76f8\u5f53\u4e8eE\u5bf9\u5e94\u7684next \u503c\u4e3a1\uff08\u5373\u5b57\u7b26E\u4e4b\u524d\u7684\u5b57\u7b26\u4e32\u201cDABCDABD\u201d\u4e2d\u6709\u957f\u5ea6\u4e3a1\u7684\u76f8\u540c\u524d\u7f00\u548c\u540e\u7f00\uff09\u3002<\/div>\n<div>\u00a0 \u00a0 \u7efc\u4e0a\uff0c\u53ef\u4ee5\u901a\u8fc7\u9012\u63a8\u6c42\u5f97next \u6570\u7ec4\uff0c\u4ee3\u7801\u5982\u4e0b\u6240\u793a\uff1a<\/div>\n<div>\n<div class=\"dp-highlighter bg_cpp\">\n<div class=\"bar\">\n<div class=\"tools\"><strong>\u00a0<\/strong><\/div>\n<\/div>\n<ol class=\"dp-cpp\" start=\"1\">\n<li class=\"alt\"><span class=\"keyword\">void\u00a0GetNext(<span class=\"datatypes\">char*\u00a0p,int\u00a0next[])\u00a0\u00a0<\/span><\/span><\/li>\n<li>{<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0pLen\u00a0=\u00a0strlen(p);\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0next[0]\u00a0=\u00a0-1;<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0k\u00a0=\u00a0-1;\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0j\u00a0=\u00a00;\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">while\u00a0(j\u00a0&lt;\u00a0pLen\u00a0&#8211;\u00a01)\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/p[k]\u8868\u793a\u524d\u7f00\uff0cp[j]\u8868\u793a\u540e\u7f00\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">if\u00a0(k\u00a0==\u00a0-1\u00a0||\u00a0p[j]\u00a0==\u00a0p[k])\u00a0\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0++k;<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0++j;<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0next[j]\u00a0=\u00a0k;<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">else\u00a0\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0k\u00a0=\u00a0next[k];<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li class=\"alt\">}<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p><span class=\"Apple-converted-space\">\u00a0\u7528\u4ee3\u7801\u91cd\u65b0\u8ba1\u7b97\u4e0b\u201cABCDABD\u201d\u7684next \u6570\u7ec4\uff0c\u4ee5\u9a8c\u8bc1\u4e4b\u524d\u901a\u8fc7\u201c\u6700\u957f\u76f8\u540c\u524d\u7f00\u540e\u7f00\u957f\u5ea6\u503c\u53f3\u79fb\u4e00\u4f4d\uff0c\u7136\u540e\u521d\u503c\u8d4b\u4e3a-1\u201d\u5f97\u5230\u7684next \u6570\u7ec4\u662f\u5426\u6b63\u786e\uff0c\u8ba1\u7b97\u7ed3\u679c\u5982\u4e0b\u8868\u683c\u6240\u793a\uff1a<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140812004705968\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0 \u00a0 \u4ece\u4e0a\u8ff0\u8868\u683c\u53ef\u4ee5\u770b\u51fa\uff0c\u65e0\u8bba\u662f\u4e4b\u524d\u901a\u8fc7\u201c\u6700\u957f\u76f8\u540c\u524d\u7f00\u540e\u7f00\u957f\u5ea6\u503c\u53f3\u79fb\u4e00\u4f4d\uff0c\u7136\u540e\u521d\u503c\u8d4b\u4e3a-1\u201d\u5f97\u5230\u7684next \u6570\u7ec4\uff0c\u8fd8\u662f\u4e4b\u540e\u901a\u8fc7\u4ee3\u7801\u9012\u63a8\u8ba1\u7b97\u6c42\u5f97\u7684next \u6570\u7ec4\uff0c\u7ed3\u679c\u662f\u5b8c\u5168\u4e00\u81f4\u7684\u3002<br \/>\n<\/span><\/p>\n<h4>3.3.5 \u57fa\u4e8e\u300anext \u6570\u7ec4\u300b\u5339\u914d<\/h4>\n<p>\u4e0b\u9762\uff0c\u6211\u4eec\u6765\u57fa\u4e8enext \u6570\u7ec4\u8fdb\u884c\u5339\u914d\u3002<\/p>\n<blockquote><p>&nbsp;<\/p><\/blockquote>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721231622000\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0 \u00a0 \u8fd8\u662f\u7ed9\u5b9a\u6587\u672c\u4e32\u201cBBC ABCDAB ABCDABCDABDE\u201d\uff0c\u548c\u6a21\u5f0f\u4e32\u201cABCDABD\u201d\uff0c\u73b0\u5728\u8981\u62ff\u6a21\u5f0f\u4e32\u53bb\u8ddf\u6587\u672c\u4e32\u5339\u914d\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140723224710203\" alt=\"\" \/><\/p>\n<p>\u5728\u6b63\u5f0f\u5339\u914d\u4e4b\u524d\uff0c\u8ba9\u6211\u4eec\u6765\u518d\u6b21\u56de\u987e\u4e0b\u4e0a\u65872.1\u8282\u6240\u8ff0\u7684KMP\u7b97\u6cd5\u7684\u5339\u914d\u6d41\u7a0b\uff1a<\/p>\n<ul>\n<li>\u201c\u5047\u8bbe\u73b0\u5728\u6587\u672c\u4e32S\u5339\u914d\u5230 i \u4f4d\u7f6e\uff0c\u6a21\u5f0f\u4e32P\u5339\u914d\u5230 j \u4f4d\u7f6e\n<ul>\n<li>\u5982\u679cj = -1\uff0c\u6216\u8005\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373S[i] == P[j]\uff09\uff0c\u90fd\u4ee4i++\uff0cj++\uff0c\u7ee7\u7eed\u5339\u914d\u4e0b\u4e00\u4e2a\u5b57\u7b26\uff1b<\/li>\n<li>\u5982\u679cj != -1\uff0c\u4e14\u5f53\u524d\u5b57\u7b26\u5339\u914d\u5931\u8d25\uff08\u5373S[i] != P[j]\uff09\uff0c\u5219\u4ee4 i \u4e0d\u53d8\uff0cj = next[j]\u3002\u6b64\u4e3e\u610f\u5473\u7740\u5931\u914d\u65f6\uff0c\u6a21\u5f0f\u4e32P\u76f8\u5bf9\u4e8e\u6587\u672c\u4e32S\u5411\u53f3\u79fb\u52a8\u4e86j &#8211; next [j] \u4f4d\u3002\n<ul>\n<li>\u6362\u8a00\u4e4b\uff0c\u5f53\u5339\u914d\u5931\u8d25\u65f6\uff0c\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8\u7684\u4f4d\u6570\u4e3a\uff1a\u5931\u914d\u5b57\u7b26\u6240\u5728\u4f4d\u7f6e &#8211; \u5931\u914d\u5b57\u7b26\u5bf9\u5e94\u7684next \u503c\uff0c\u5373\u79fb\u52a8\u7684\u5b9e\u9645\u4f4d\u6570\u4e3a\uff1aj &#8211; next[j]\uff0c\u4e14\u6b64\u503c\u5927\u4e8e\u7b49\u4e8e1\u3002\u201d<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li><em>1<\/em>. \u6700\u5f00\u59cb\u5339\u914d\u65f6\n<ul>\n<li>P[0]\u8ddfS[0]\u5339\u914d\u5931\u8d25\n<ul>\n<li>\u6240\u4ee5\u6267\u884c\u201c\u5982\u679cj != -1\uff0c\u4e14\u5f53\u524d\u5b57\u7b26\u5339\u914d\u5931\u8d25\uff08\u5373S[i] != P[j]\uff09\uff0c\u5219\u4ee4 i \u4e0d\u53d8\uff0cj = next[j]\u201d\uff0c\u6240\u4ee5j = -1\uff0c\u6545\u8f6c\u800c\u6267\u884c\u201c\u5982\u679cj = -1\uff0c\u6216\u8005\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373S[i] == P[j]\uff09\uff0c\u90fd\u4ee4i++\uff0cj++\u201d\uff0c\u5f97\u5230i = 1\uff0cj = 0\uff0c\u5373P[0]\u7ee7\u7eed\u8ddfS[1]\u5339\u914d\u3002<\/li>\n<\/ul>\n<\/li>\n<li>P[0]\u8ddfS[1]\u53c8\u5931\u914d\uff0cj\u518d\u6b21\u7b49\u4e8e-1\uff0ci\u3001j\u7ee7\u7eed\u81ea\u589e\uff0c\u4ece\u800cP[0]\u8ddfS[2]\u5339\u914d\u3002<\/li>\n<li>P[0]\u8ddfS[2]\u5931\u914d\u540e\uff0cP[0]\u53c8\u8ddfS[3]\u5339\u914d\u3002<\/li>\n<li>P[0]\u8ddfS[3]\u518d\u5931\u914d\uff0c\u76f4\u5230P[0]\u8ddfS[4]\u5339\u914d\u6210\u529f\uff0c\u5f00\u59cb\u6267\u884c\u6b64\u6761\u6307\u4ee4\u7684\u540e\u534a\u6bb5\uff1a\u201c\u5982\u679cj = -1\uff0c\u6216\u8005\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373S[i] == P[j]\uff09\uff0c\u90fd\u4ee4i++\uff0cj++\u201d\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140726213602848\" alt=\"\" \/><\/p>\n<ul>\n<li>2. P[1]\u8ddfS[5]\u5339\u914d\u6210\u529f\uff0cP[2]\u8ddfS[6]\u4e5f\u5339\u914d\u6210\u529f, &#8230;\uff0c\u76f4\u5230\u5f53\u5339\u914d\u5230P[6]\u5904\u7684\u5b57\u7b26D\u65f6\u5931\u914d\uff08\u5373S[10] != P[6]\uff09\uff0c\u7531\u4e8eP[6]\u5904\u7684D\u5bf9\u5e94\u7684next \u503c\u4e3a2\uff0c\u6240\u4ee5\u4e0b\u4e00\u6b65\u7528P[2]\u5904\u7684\u5b57\u7b26C\u7ee7\u7eed\u8ddfS[10]\u5339\u914d\uff0c\u76f8\u5f53\u4e8e\u5411\u53f3\u79fb\u52a8\uff1aj &#8211; next[j] = 6 &#8211; 2 =4 \u4f4d\u3002<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223809617\" alt=\"\" \/><\/p>\n<ul>\n<li><em>3<\/em>. \u5411\u53f3\u79fb\u52a84\u4f4d\u540e\uff0cP[2]\u5904\u7684C\u518d\u6b21\u5931\u914d\uff0c\u7531\u4e8eC\u5bf9\u5e94\u7684next\u503c\u4e3a0\uff0c\u6240\u4ee5\u4e0b\u4e00\u6b65\u7528P[0]\u5904\u7684\u5b57\u7b26\u7ee7\u7eed\u8ddfS[10]\u5339\u914d\uff0c\u76f8\u5f53\u4e8e\u5411\u53f3\u79fb\u52a8\uff1aj &#8211; next[j] = 2 &#8211; 0 = 2 \u4f4d\u3002<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223539765\" alt=\"\" \/><\/p>\n<ul>\n<li><em>4<\/em>. \u79fb\u52a8\u4e24\u4f4d\u4e4b\u540e\uff0cA \u8ddf\u7a7a\u683c\u4e0d\u5339\u914d\uff0c\u6a21\u5f0f\u4e32\u540e\u79fb1 \u4f4d\u3002<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223823548\" alt=\"\" \/><\/p>\n<ul>\n<li><em>5<\/em>. P[6]\u5904\u7684D\u518d\u6b21\u5931\u914d\uff0c\u56e0\u4e3aP[6]\u5bf9\u5e94\u7684next\u503c\u4e3a2\uff0c\u6545\u4e0b\u4e00\u6b65\u7528P[2]\u7ee7\u7eed\u8ddf\u6587\u672c\u4e32\u5339\u914d\uff0c\u76f8\u5f53\u4e8e\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8 j &#8211; next[j] = 6 &#8211; 2 = 4 \u4f4d\u3002<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223558140\" alt=\"\" \/><\/p>\n<ul>\n<li><em>6<\/em>. \u5339\u914d\u6210\u529f\uff0c\u8fc7\u7a0b\u7ed3\u675f\u3002<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140721223611515\" alt=\"\" \/><\/p>\n<p>\u5339\u914d\u8fc7\u7a0b\u4e00\u6a21\u4e00\u6837\u3002\u4e5f\u4ece\u4fa7\u9762\u4f50\u8bc1\u4e86\uff0cnext \u6570\u7ec4\u786e\u5b9e\u662f\u53ea\u8981\u5c06\u5404\u4e2a\u6700\u5927\u524d\u7f00\u540e\u7f00\u7684\u516c\u5171\u5143\u7d20\u7684\u957f\u5ea6\u503c\u53f3\u79fb\u4e00\u4f4d\uff0c\u4e14\u628a\u521d\u503c\u8d4b\u4e3a-1 \u5373\u53ef\u3002<\/p>\n<h4>3.3.6 \u57fa\u4e8e\u300a\u6700\u5927\u957f\u5ea6\u8868\u300b\u4e0e\u57fa\u4e8e\u300anext \u6570\u7ec4\u300b\u7b49\u4ef7<\/h4>\n<p>\u6211\u4eec\u5df2\u7ecf\u77e5\u9053\uff0c\u5229\u7528next \u6570\u7ec4\u8fdb\u884c\u5339\u914d\u5931\u914d\u65f6\uff0c\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8 j &#8211; next [ j ] \u4f4d\uff0c\u7b49\u4ef7\u4e8e\u5df2\u5339\u914d\u5b57\u7b26\u6570\u00a0&#8211; \u5931\u914d\u5b57\u7b26\u7684\u4e0a\u4e00\u4f4d\u5b57\u7b26\u6240\u5bf9\u5e94\u7684\u6700\u5927\u957f\u5ea6\u503c\u3002\u539f\u56e0\u662f\uff1a<\/p>\n<ol>\n<li>j \u4ece0\u5f00\u59cb\u8ba1\u6570\uff0c\u90a3\u4e48\u5f53\u6570\u5230\u5931\u914d\u5b57\u7b26\u65f6\uff0cj \u7684\u6570\u503c\u5c31\u662f\u5df2\u5339\u914d\u7684\u5b57\u7b26\u6570\uff1b<\/li>\n<li>\u7531\u4e8enext \u6570\u7ec4\u662f\u7531\u6700\u5927\u957f\u5ea6\u503c\u8868\u6574\u4f53\u5411\u53f3\u79fb\u52a8\u4e00\u4f4d\uff08\u4e14\u521d\u503c\u8d4b\u4e3a-1\uff09\u5f97\u5230\u7684\uff0c\u90a3\u4e48\u5931\u914d\u5b57\u7b26\u7684\u4e0a\u4e00\u4f4d\u5b57\u7b26\u6240\u5bf9\u5e94\u7684\u6700\u5927\u957f\u5ea6\u503c\uff0c\u5373\u4e3a\u5f53\u524d\u5931\u914d\u5b57\u7b26\u7684next \u503c\u3002<\/li>\n<\/ol>\n<p>\u4f46\u4e3a\u4f55\u672c\u6587\u4e0d\u76f4\u63a5\u5229\u7528next \u6570\u7ec4\u8fdb\u884c\u5339\u914d\u5462\uff1f\u56e0\u4e3anext \u6570\u7ec4\u4e0d\u597d\u6c42\uff0c\u800c\u4e00\u4e2a\u5b57\u7b26\u4e32\u7684\u524d\u7f00\u540e\u7f00\u7684\u516c\u5171\u5143\u7d20\u7684\u6700\u5927\u957f\u5ea6\u503c\u5f88\u5bb9\u6613\u6c42\u3002\u4f8b\u5982\u82e5\u7ed9\u5b9a\u6a21\u5f0f\u4e32\u201cababa\u201d\uff0c\u8981\u4f60\u5feb\u901f\u53e3\u7b97\u51fa\u5176next \u6570\u7ec4\uff0c\u4e4d\u4e00\u770b\uff0c\u6bcf\u6b21\u6c42\u5bf9\u5e94\u5b57\u7b26\u7684next\u503c\u65f6\uff0c\u8fd8\u5f97\u628a\u8be5\u5b57\u7b26\u6392\u9664\u4e4b\u5916\uff0c\u7136\u540e\u770b\u8be5\u5b57\u7b26\u4e4b\u524d\u7684\u5b57\u7b26\u4e32\u4e2d\u6709\u6700\u5927\u957f\u5ea6\u4e3a\u591a\u5927\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\uff0c\u6b64\u8fc7\u7a0b\u4e0d\u591f\u76f4\u63a5\u3002\u800c\u5982\u679c\u8ba9\u4f60\u6c42\u5176\u524d\u7f00\u540e\u7f00\u516c\u5171\u5143\u7d20\u7684\u6700\u5927\u957f\u5ea6\uff0c\u5219\u5f88\u5bb9\u6613\u76f4\u63a5\u5f97\u51fa\u7ed3\u679c\uff1a0 0 1 2 3\uff0c\u5982\u4e0b\u8868\u683c\u6240\u793a\uff1a<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140725232020608\" alt=\"\" \/><\/p>\n<p>\u7136\u540e\u8fd95\u4e2a\u6570\u5b57 \u5168\u90e8\u6574\u4f53\u53f3\u79fb\u4e00\u4f4d\uff0c\u4e14\u521d\u503c\u8d4b\u4e3a-1\uff0c\u5373\u5f97\u5230\u5176next \u6570\u7ec4\uff1a-1 0 0 1 2\u3002<\/p>\n<h4>3.3.7 Next \u6570\u7ec4\u4e0e\u6709\u9650\u72b6\u6001\u81ea\u52a8\u673a<\/h4>\n<p>next \u8d1f\u8d23\u628a\u6a21\u5f0f\u4e32\u5411\u524d\u79fb\u52a8\uff0c\u4e14\u5f53\u7b2cj\u4f4d\u4e0d\u5339\u914d\u7684\u65f6\u5019\uff0c\u7528\u7b2cnext[j]\u4f4d\u548c\u4e3b\u4e32\u5339\u914d\uff0c\u5c31\u50cf\u6253\u4e86\u5f20\u201c\u8868\u201d\u3002\u6b64\u5916\uff0cnext \u4e5f\u53ef\u4ee5\u770b\u4f5c\u6709\u9650\u72b6\u6001\u81ea\u52a8\u673a\u7684\u72b6\u6001\uff0c\u5728\u5df2\u7ecf\u8bfb\u4e86\u591a\u5c11\u5b57\u7b26\u7684\u60c5\u51b5\u4e0b\uff0c\u5931\u914d\u540e\uff0c\u524d\u9762\u8bfb\u7684\u82e5\u5e72\u4e2a\u5b57\u7b26\u662f\u6709\u7528\u7684\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140805003320486\" alt=\"\" \/><\/p>\n<h4>3.3.8 Next \u6570\u7ec4\u7684\u4f18\u5316<\/h4>\n<p>\u884c\u6587\u81f3\u6b64\uff0c\u54b1\u4eec\u5168\u9762\u4e86\u89e3\u4e86\u66b4\u529b\u5339\u914d\u7684\u601d\u8def\u3001KMP\u7b97\u6cd5\u7684\u539f\u7406\u3001\u6d41\u7a0b\u3001\u6d41\u7a0b\u4e4b\u95f4\u7684\u5185\u5728\u903b\u8f91\u8054\u7cfb\uff0c\u4ee5\u53canext \u6570\u7ec4\u7684\u7b80\u5355\u6c42\u89e3\uff08\u300a\u6700\u5927\u957f\u5ea6\u8868\u300b\u6574\u4f53\u53f3\u79fb\u4e00\u4f4d\uff0c\u7136\u540e\u521d\u503c\u8d4b\u4e3a-1\uff09\u548c\u4ee3\u7801\u6c42\u89e3\uff0c\u6700\u540e\u57fa\u4e8e\u300anext \u6570\u7ec4\u300b\u7684\u5339\u914d\uff0c\u770b\u4f3c\u6d0b\u6d0b\u6d12\u6d12\uff0c\u6e05\u6670\u900f\u5f7b\uff0c\u4f46\u4ee5\u4e0a\u5ffd\u7565\u4e86\u4e00\u4e2a\u5c0f\u95ee\u9898\u3002<\/p>\n<p>\u6bd4\u5982\uff0c\u5982\u679c\u7528\u4e4b\u524d\u7684next \u6570\u7ec4\u65b9\u6cd5\u6c42\u6a21\u5f0f\u4e32\u201cabab\u201d\u7684next \u6570\u7ec4\uff0c\u53ef\u5f97\u5176next \u6570\u7ec4\u4e3a-1 0 0 1\uff080 0 1 2\u6574\u4f53\u53f3\u79fb\u4e00\u4f4d\uff0c\u521d\u503c\u8d4b\u4e3a-1\uff09\uff0c\u5f53\u5b83\u8ddf\u4e0b\u56fe\u4e2d\u7684\u6587\u672c\u4e32\u53bb\u5339\u914d\u7684\u65f6\u5019\uff0c\u53d1\u73b0b\u8ddfc\u5931\u914d\uff0c\u4e8e\u662f\u6a21\u5f0f\u4e32\u53f3\u79fbj &#8211; next[j] = 3 &#8211; 1 =2\u4f4d\u3002<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/hi.csdn.net\/attachment\/201106\/14\/8394323_1308075859Zfue.jpg\" alt=\"\" \/><\/p>\n<p>\u53f3\u79fb2\u4f4d\u540e\uff0cb\u53c8\u8ddfc\u5931\u914d\u3002\u4e8b\u5b9e\u4e0a\uff0c\u56e0\u4e3a\u5728\u4e0a\u4e00\u6b65\u7684\u5339\u914d\u4e2d\uff0c\u5df2\u7ecf\u5f97\u77e5p[3] = b\uff0c\u4e0es[3] = c\u5931\u914d\uff0c\u800c\u53f3\u79fb\u4e24\u4f4d\u4e4b\u540e\uff0c\u8ba9p[ next[3] ] = p[1] = b \u518d\u8ddfs[3]\u5339\u914d\u65f6\uff0c\u5fc5\u7136\u5931\u914d\u3002\u95ee\u9898\u51fa\u5728\u54ea\u5462\uff1f<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/hi.csdn.net\/attachment\/201106\/14\/8394323_13080758591kyV.jpg\" alt=\"\" \/><\/p>\n<p>\u95ee\u9898\u51fa\u5728\u4e0d\u8be5\u51fa\u73b0p[j] = p[ next[j] ]\u3002\u4e3a\u4ec0\u4e48\u5462\uff1f\u7406\u7531\u662f\uff1a\u5f53p[j] != s[i] \u65f6\uff0c\u4e0b\u6b21\u5339\u914d\u5fc5\u7136\u662fp[ next [j]] \u8ddfs[i]\u5339\u914d\uff0c\u5982\u679cp[j] = p[ next[j] ]\uff0c\u5fc5\u7136\u5bfc\u81f4\u540e\u4e00\u6b65\u5339\u914d\u5931\u8d25\uff08\u56e0\u4e3ap[j]\u5df2\u7ecf\u8ddfs[i]\u5931\u914d\uff0c\u7136\u540e\u4f60\u8fd8\u7528\u8ddfp[j]\u7b49\u540c\u7684\u503cp[next[j]]\u53bb\u8ddfs[i]\u5339\u914d\uff0c\u5f88\u663e\u7136\uff0c\u5fc5\u7136\u5931\u914d\uff09\uff0c\u6240\u4ee5\u4e0d\u80fd\u5141\u8bb8p[j] = p[ next[j ]]\u3002\u5982\u679c\u51fa\u73b0\u4e86p[j] = p[ next[j] ]\u548b\u529e\u5462\uff1f\u5982\u679c\u51fa\u73b0\u4e86\uff0c\u5219\u9700\u8981\u518d\u6b21\u9012\u5f52\uff0c\u5373\u4ee4next[j] = next[ next[j] ]\u3002<\/p>\n<p><span class=\"Apple-converted-space\">\u00a0 \u00a0 \u6240\u4ee5\uff0c\u54b1\u4eec\u5f97\u4fee\u6539\u4e0b\u6c42next \u6570\u7ec4\u7684\u4ee3\u7801\u3002<\/span><\/p>\n<p>&nbsp;<\/p>\n<div class=\"dp-highlighter bg_cpp\">\n<div class=\"bar\">\n<div class=\"tools\"><strong><br \/>\n<\/strong><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<ol class=\"dp-cpp\" start=\"1\">\n<li class=\"alt\"><span class=\"comment\">\/\/\u4f18\u5316\u8fc7\u540e\u7684next\u00a0\u6570\u7ec4\u6c42\u6cd5\u00a0\u00a0<\/span><\/li>\n<li><span class=\"keyword\">void\u00a0GetNextval(<span class=\"datatypes\">char*\u00a0p,\u00a0int\u00a0next[])\u00a0\u00a0<\/span><\/span><\/li>\n<li class=\"alt\">{<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0pLen\u00a0=\u00a0strlen(p);\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0next[0]\u00a0=\u00a0-1;<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0k\u00a0=\u00a0-1;\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0j\u00a0=\u00a00;\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">while\u00a0(j\u00a0&lt;\u00a0pLen\u00a0&#8211;\u00a01)\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/p[k]\u8868\u793a\u524d\u7f00\uff0cp[j]\u8868\u793a\u540e\u7f00\u00a0\u00a0\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">if\u00a0(k\u00a0==\u00a0-1\u00a0||\u00a0p[j]\u00a0==\u00a0p[k])\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0++j;<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0++k;<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/\u8f83\u4e4b\u524dnext\u6570\u7ec4\u6c42\u6cd5\uff0c\u6539\u52a8\u5728\u4e0b\u97624\u884c\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">if\u00a0(p[j]\u00a0!=\u00a0p[k])\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0next[j]\u00a0=\u00a0k;\u00a0\u00a0\u00a0<span class=\"comment\">\/\/\u4e4b\u524d\u53ea\u6709\u8fd9\u4e00\u884c\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">else\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/\u56e0\u4e3a\u4e0d\u80fd\u51fa\u73b0p[j]\u00a0=\u00a0p[\u00a0next[j\u00a0]]\uff0c\u6240\u4ee5\u5f53\u51fa\u73b0\u65f6\u9700\u8981\u7ee7\u7eed\u9012\u5f52\uff0ck\u00a0=\u00a0next[k]\u00a0=\u00a0next[next[k]]\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0next[j]\u00a0=\u00a0next[k];<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">else\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0k\u00a0=\u00a0next[k];<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li class=\"alt\">}<\/li>\n<\/ol>\n<\/div>\n<p>\u5229\u7528\u4f18\u5316\u8fc7\u540e\u7684next \u6570\u7ec4\u6c42\u6cd5\uff0c\u53ef\u77e5\u6a21\u5f0f\u4e32\u201cabab\u201d\u7684\u65b0next\u6570\u7ec4\u4e3a\uff1a-1 0 -1 0\u3002\u53ef\u80fd\u6709\u4e9b\u8bfb\u8005\u4f1a\u95ee\uff1a\u539f\u59cbnext \u6570\u7ec4\u662f\u524d\u7f00\u540e\u7f00\u6700\u957f\u516c\u5171\u5143\u7d20\u957f\u5ea6\u503c\u53f3\u79fb\u4e00\u4f4d\uff0c \u7136\u540e\u521d\u503c\u8d4b\u4e3a-1\u800c\u5f97\uff0c\u90a3\u4e48\u4f18\u5316\u540e\u7684next \u6570\u7ec4\u5982\u4f55\u5feb\u901f\u5fc3\u7b97\u51fa\u5462\uff1f\u5b9e\u9645\u4e0a\uff0c\u53ea\u8981\u6c42\u51fa\u4e86\u539f\u59cbnext \u6570\u7ec4\uff0c\u4fbf\u53ef\u4ee5\u6839\u636e\u539f\u59cbnext \u6570\u7ec4\u5feb\u901f\u6c42\u51fa\u4f18\u5316\u540e\u7684next \u6570\u7ec4\u3002\u8fd8\u662f\u4ee5abab\u4e3a\u4f8b\uff0c\u5982\u4e0b\u8868\u683c\u6240\u793a\uff1a<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140801160510832\" alt=\"\" \/><\/p>\n<p>&nbsp;<\/p>\n<p class=\"p17\">\u53ea\u8981\u51fa\u73b0\u4e86p[next[j]]\u00a0=\u00a0p[j]\u7684\u60c5\u51b5\uff0c\u5219\u628anext[j]\u7684\u503c\u518d\u6b21\u9012\u5f52\u3002\u4f8b\u5982\u5728\u6c42\u6a21\u5f0f\u4e32\u201cabab\u201d\u7684\u7b2c2\u4e2aa\u7684next\u503c\u65f6\uff0c\u5982\u679c\u662f\u672a\u4f18\u5316\u7684next\u503c\u7684\u8bdd\uff0c\u7b2c2\u4e2aa\u5bf9\u5e94\u7684next\u503c\u4e3a0\uff0c\u76f8\u5f53\u4e8e\u7b2c2\u4e2aa\u5931\u914d\u65f6\uff0c\u4e0b\u4e00\u6b65\u5339\u914d\u6a21\u5f0f\u4e32\u4f1a\u7528p[0]\u5904\u7684a\u518d\u6b21\u8ddf\u6587\u672c\u4e32\u5339\u914d\uff0c\u5fc5\u7136\u5931\u914d\u3002\u6240\u4ee5\u6c42\u7b2c2\u4e2aa\u7684next\u503c\u65f6\uff0c\u9700\u8981\u518d\u6b21\u9012\u5f52\uff1anext[2]\u00a0=\u00a0next[\u00a0next[2]\u00a0]\u00a0=\u00a0next[0]\u00a0=\u00a0-1\uff08\u6b64\u540e\uff0c\u6839\u636e\u4f18\u5316\u540e\u7684\u65b0next\u503c\u53ef\u77e5\uff0c\u7b2c2\u4e2aa\u5931\u914d\u65f6\uff0c\u6267\u884c\u201c\u5982\u679cj\u00a0=\u00a0-1\uff0c\u6216\u8005\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373S[i]\u00a0==\u00a0P[j]\uff09\uff0c\u90fd\u4ee4i++\uff0cj++\uff0c\u7ee7\u7eed\u5339\u914d\u4e0b\u4e00\u4e2a\u5b57\u7b26\u201d\uff09\uff0c\u540c\u7406\uff0c\u7b2c2\u4e2ab\u5bf9\u5e94\u7684next\u503c\u4e3a0\u3002<\/p>\n<p class=\"p17\">\u5bf9\u4e8e\u4f18\u5316\u540e\u7684next\u6570\u7ec4\u53ef\u4ee5\u53d1\u73b0\u4e00\u70b9\uff1a\u5982\u679c\u6a21\u5f0f\u4e32\u7684\u540e\u7f00\u8ddf\u524d\u7f00\u76f8\u540c\uff0c\u90a3\u4e48\u5b83\u4eec\u7684next\u503c\u4e5f\u662f\u76f8\u540c\u7684\uff0c\u4f8b\u5982\u6a21\u5f0f\u4e32abcabc\uff0c\u5b83\u7684\u524d\u7f00\u540e\u7f00\u90fd\u662fabc\uff0c\u5176\u4f18\u5316\u540e\u7684next\u6570\u7ec4\u4e3a\uff1a-1\u00a00\u00a00\u00a0-1\u00a00\u00a00\uff0c\u524d\u7f00\u540e\u7f00abc\u7684next\u503c\u90fd\u4e3a-1\u00a00\u00a00\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u7136\u540e\u5f15\u7528\u4e0b\u4e4b\u524d3.1\u8282\u7684KMP\u4ee3\u7801\uff1a<\/p>\n<p>&nbsp;<\/p>\n<div class=\"dp-highlighter bg_cpp\">\n<div class=\"bar\">\n<div class=\"tools\"><strong><br \/>\n<\/strong><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<ol class=\"dp-cpp\" start=\"1\">\n<li class=\"alt\"><span class=\"datatypes\">int\u00a0KmpSearch(char*\u00a0s,\u00a0char*\u00a0p)\u00a0\u00a0<\/span><\/li>\n<li>{<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0i\u00a0=\u00a00;\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0j\u00a0=\u00a00;\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0sLen\u00a0=\u00a0strlen(s);\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"datatypes\">int\u00a0pLen\u00a0=\u00a0strlen(p);\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">while\u00a0(i\u00a0&lt;\u00a0sLen\u00a0&amp;&amp;\u00a0j\u00a0&lt;\u00a0pLen)\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/\u2460\u5982\u679cj\u00a0=\u00a0-1\uff0c\u6216\u8005\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373S[i]\u00a0==\u00a0P[j]\uff09\uff0c\u90fd\u4ee4i++\uff0cj++\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">if\u00a0(j\u00a0==\u00a0-1\u00a0||\u00a0s[i]\u00a0==\u00a0p[j])\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0i++;<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0j++;<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">else\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0{<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/\u2461\u5982\u679cj\u00a0!=\u00a0-1\uff0c\u4e14\u5f53\u524d\u5b57\u7b26\u5339\u914d\u5931\u8d25\uff08\u5373S[i]\u00a0!=\u00a0P[j]\uff09\uff0c\u5219\u4ee4\u00a0i\u00a0\u4e0d\u53d8\uff0cj\u00a0=\u00a0next[j]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"comment\">\/\/next[j]\u5373\u4e3aj\u6240\u5bf9\u5e94\u7684next\u503c\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0j\u00a0=\u00a0next[j];<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0}<\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">if\u00a0(j\u00a0==\u00a0pLen)\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">return\u00a0i\u00a0&#8211;\u00a0j;\u00a0\u00a0<\/span><\/li>\n<li>\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">else\u00a0\u00a0<\/span><\/li>\n<li class=\"alt\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span class=\"keyword\">return\u00a0-1;\u00a0\u00a0<\/span><\/li>\n<li>}<\/li>\n<\/ol>\n<\/div>\n<p>&nbsp;<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u54b1\u4eec\u7ee7\u7eed\u62ff\u4e4b\u524d\u7684\u4f8b\u5b50\u8bf4\u660e\uff0c\u6574\u4e2a\u5339\u914d\u8fc7\u7a0b\u5982\u4e0b\uff1a<\/p>\n<p><span class=\"Apple-converted-space\">\u00a0<em>1<\/em>. S[3]\u4e0eP[3]\u5339\u914d\u5931\u8d25\u3002<br \/>\n<\/span><\/p>\n<p><img decoding=\"async\" src=\"http:\/\/hi.csdn.net\/attachment\/201106\/14\/8394323_130807585714lW.jpg\" alt=\"\" \/><\/p>\n<p><em>\u00a02<\/em>. S[3]\u4fdd\u6301\u4e0d\u53d8\uff0cP\u7684\u4e0b\u4e00\u4e2a\u5339\u914d\u4f4d\u7f6e\u662fP[next[3]]\uff0c\u800cnext[3]=0\uff0c\u6240\u4ee5P[next[3]]=P[0]\u4e0eS[3]\u5339\u914d\u3002<\/p>\n<p><img decoding=\"async\" src=\"http:\/\/hi.csdn.net\/attachment\/201106\/14\/8394323_13080758571390.jpg\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0<em>3<\/em>.\u00a0\u00a0\u7531\u4e8e\u4e0a\u4e00\u6b65\u9aa4\u4e2dP[0]\u4e0eS[3]\u8fd8\u662f\u4e0d\u5339\u914d\u3002\u6b64\u65f6i=3\uff0cj=next [0]=-1\uff0c\u7531\u4e8e\u6ee1\u8db3\u6761\u4ef6j==-1\uff0c\u6240\u4ee5\u6267\u884c\u201c++i, ++j\u201d\uff0c\u5373\u4e3b\u4e32\u6307\u9488\u4e0b\u79fb\u4e00\u4e2a\u4f4d\u7f6e\uff0cP[0]\u4e0eS[4]\u5f00\u59cb\u5339\u914d\u3002\u6700\u540ej==pLen\uff0c\u8df3\u51fa\u5faa\u73af\uff0c\u8f93\u51fa\u7ed3\u679ci &#8211; j = 4\uff08\u5373\u6a21\u5f0f\u4e32\u7b2c\u4e00\u6b21\u5728\u6587\u672c\u4e32\u4e2d\u51fa\u73b0\u7684\u4f4d\u7f6e\uff09\uff0c\u5339\u914d\u6210\u529f\uff0c\u7b97\u6cd5\u7ed3\u675f\u3002<\/span><\/p>\n<p><img decoding=\"async\" src=\"http:\/\/hi.csdn.net\/attachment\/201106\/14\/8394323_1308075857e40u.jpg\" alt=\"\" \/><\/p>\n<h3><a name=\"t7\"><\/a>3.4 KMP\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790<\/h3>\n<div>\u00a0 \u00a0 \u76f8\u4fe1\u5927\u90e8\u5206\u8bfb\u8005\u8bfb\u5b8c\u4e0a\u6587\u4e4b\u540e\uff0c\u5df2\u7ecf\u53d1\u89c9\u5176\u5b9e\u7406\u89e3KMP\u975e\u5e38\u5bb9\u6613\uff0c\u65e0\u975e\u662f\u5faa\u5e8f\u6e10\u8fdb\u628a\u63e1\u597d\u4e0b\u9762\u51e0\u70b9\uff1a<\/div>\n<div>\n<ol>\n<li>\u5982\u679c\u6a21\u5f0f\u4e32\u4e2d\u5b58\u5728\u76f8\u540c\u524d\u7f00\u548c\u540e\u7f00\uff0c\u5373pj-k\u00a0pj-k+1, &#8230;, pj-1 = p0\u00a0p1, &#8230;, pk-1\uff0c\u90a3\u4e48\u5728pj\u8ddfsi\u5931\u914d\u540e\uff0c\u8ba9\u6a21\u5f0f\u4e32\u7684\u524d\u7f00p0\u00a0p1&#8230;pk-1\u5bf9\u5e94\u7740\u6587\u672c\u4e32si-k\u00a0si-k+1&#8230;si-1\uff0c\u800c\u540e\u8ba9pk\u8ddfsi\u7ee7\u7eed\u5339\u914d\u3002<\/li>\n<li>\u4e4b\u524d\u672c\u5e94\u662fpj\u8ddfsi\u5339\u914d\uff0c\u7ed3\u679c\u5931\u914d\u4e86\uff0c\u5931\u914d\u540e\uff0c\u4ee4pk\u8ddfsi\u5339\u914d\uff0c\u76f8\u5f53\u4e8ej \u53d8\u6210\u4e86k\uff0c\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8j &#8211; k\u4f4d\u3002<\/li>\n<li>\u56e0\u4e3ak \u7684\u503c\u662f\u53ef\u53d8\u7684\uff0c\u6240\u4ee5\u6211\u4eec\u7528next[j]\u8868\u793aj\u5904\u5b57\u7b26\u5931\u914d\u540e\uff0c\u4e0b\u4e00\u6b21\u5339\u914d\u6a21\u5f0f\u4e32\u5e94\u8be5\u8df3\u5230\u7684\u4f4d\u7f6e\u3002\u6362\u8a00\u4e4b\uff0c\u5931\u914d\u524d\u662fj\uff0cpj\u8ddfsi\u5931\u914d\u65f6\uff0c\u7528p[ next[j] ]\u7ee7\u7eed\u8ddfsi\u5339\u914d\uff0c\u76f8\u5f53\u4e8ej\u53d8\u6210\u4e86next[j]\uff0c\u6240\u4ee5\uff0cj = next[j]\uff0c\u7b49\u4ef7\u4e8e\u628a\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a8j &#8211; next [j] \u4f4d\u3002<\/li>\n<li>\u800cnext[j]\u5e94\u8be5\u7b49\u4e8e\u591a\u5c11\u5462\uff1fnext[j]\u7684\u503c\u7531j \u4e4b\u524d\u7684\u6a21\u5f0f\u4e32\u5b50\u4e32\u4e2d\u6709\u591a\u5927\u957f\u5ea6\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\u6240\u51b3\u5b9a\uff0c\u5982\u679cj \u4e4b\u524d\u7684\u6a21\u5f0f\u4e32\u5b50\u4e32\u4e2d\uff08\u4e0d\u542bj\uff09\u6709\u6700\u5927\u957f\u5ea6\u4e3ak\u7684\u76f8\u540c\u524d\u7f00\u540e\u7f00\uff0c\u90a3\u4e48next\u00a0[j]\u00a0= k\u3002<\/li>\n<\/ol>\n<div>\u00a0 \u00a0 \u5982\u4e4b\u524d\u7684\u56fe\u6240\u793a\uff1a<\/div>\n<\/div>\n<div>\n<div><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140812223633281\" alt=\"\" \/><\/div>\n<\/div>\n<div>\n<div>\u00a0 \u00a0 \u63a5\u4e0b\u6765\uff0c\u54b1\u4eec\u6765\u5206\u6790\u4e0bKMP\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u3002\u5206\u6790\u4e4b\u524d\uff0c\u5148\u6765\u56de\u987e\u4e0bKMP\u5339\u914d\u7b97\u6cd5\u7684\u6d41\u7a0b\uff1a<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>\u201cKMP\u7684\u7b97\u6cd5\u6d41\u7a0b\uff1a<\/p>\n<div>\n<ul>\n<li>\u5047\u8bbe\u73b0\u5728\u6587\u672c\u4e32S\u5339\u914d\u5230 i \u4f4d\u7f6e\uff0c\u6a21\u5f0f\u4e32P\u5339\u914d\u5230 j \u4f4d\u7f6e\n<ul>\n<li>\u5982\u679cj = -1\uff0c\u6216\u8005\u5f53\u524d\u5b57\u7b26\u5339\u914d\u6210\u529f\uff08\u5373S[i] == P[j]\uff09\uff0c\u90fd\u4ee4i++\uff0cj++\uff0c\u7ee7\u7eed\u5339\u914d\u4e0b\u4e00\u4e2a\u5b57\u7b26\uff1b<\/li>\n<li>\u5982\u679cj != -1\uff0c\u4e14\u5f53\u524d\u5b57\u7b26\u5339\u914d\u5931\u8d25\uff08\u5373S[i] != P[j]\uff09\uff0c\u5219\u4ee4 i \u4e0d\u53d8\uff0cj = next[j]\u3002\u6b64\u4e3e\u610f\u5473\u7740\u5931\u914d\u65f6\uff0c\u6a21\u5f0f\u4e32P\u76f8\u5bf9\u4e8e\u6587\u672c\u4e32S\u5411\u53f3\u79fb\u52a8\u4e86j &#8211; next [j] \u4f4d\u3002\u201d<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<p>\u6211\u4eec\u53d1\u73b0\u5982\u679c\u67d0\u4e2a\u5b57\u7b26\u5339\u914d\u6210\u529f\uff0c\u6a21\u5f0f\u4e32\u9996\u5b57\u7b26\u7684\u4f4d\u7f6e\u4fdd\u6301\u4e0d\u52a8\uff0c\u4ec5\u4ec5\u662fi++\u3001j++\uff1b\u5982\u679c\u5339\u914d\u5931\u914d\uff0ci \u4e0d\u53d8\uff08\u5373 i \u4e0d\u56de\u6eaf\uff09\uff0c\u6a21\u5f0f\u4e32\u4f1a\u8df3\u8fc7\u5339\u914d\u8fc7\u7684next [j]\u4e2a\u5b57\u7b26\u3002\u6574\u4e2a\u7b97\u6cd5\u6700\u574f\u7684\u60c5\u51b5\u662f\uff0c\u5f53\u6a21\u5f0f\u4e32\u9996\u5b57\u7b26\u4f4d\u4e8ei\u00a0&#8211; j\u7684\u4f4d\u7f6e\u65f6\u624d\u5339\u914d\u6210\u529f\uff0c\u7b97\u6cd5\u7ed3\u675f\u3002<br \/>\n\u6240\u4ee5\uff0c\u5982\u679c\u6587\u672c\u4e32\u7684\u957f\u5ea6\u4e3an\uff0c\u6a21\u5f0f\u4e32\u7684\u957f\u5ea6\u4e3am\uff0c\u90a3\u4e48\u5339\u914d\u8fc7\u7a0b\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n)\uff0c\u7b97\u4e0a\u8ba1\u7b97next\u7684O(m)\u65f6\u95f4\uff0cKMP\u7684\u6574\u4f53\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(m + n)\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2><a name=\"t8\"><\/a>4. \u6269\u5c551\uff1aBM\u7b97\u6cd5<\/h2>\n<p>KMP\u7684\u5339\u914d\u662f\u4ece\u6a21\u5f0f\u4e32\u7684\u5f00\u5934\u5f00\u59cb\u5339\u914d\u7684\uff0c\u800c1977\u5e74\uff0c\u5fb7\u514b\u8428\u65af\u5927\u5b66\u7684Robert S. Boyer\u6559\u6388\u548cJ Strother Moore\u6559\u6388\u53d1\u660e\u4e86\u4e00\u79cd\u65b0\u7684\u5b57\u7b26\u4e32\u5339\u914d\u7b97\u6cd5\uff1aBoyer-Moore\u7b97\u6cd5\uff0c\u7b80\u79f0BM\u7b97\u6cd5\u3002\u8be5\u7b97\u6cd5\u4ece\u6a21\u5f0f\u4e32\u7684\u5c3e\u90e8\u5f00\u59cb\u5339\u914d\uff0c\u4e14\u62e5\u6709\u5728\u6700\u574f\u60c5\u51b5\u4e0bO(N)\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u3002\u5728\u5b9e\u8df5\u4e2d\uff0c\u6bd4KMP\u7b97\u6cd5\u7684\u5b9e\u9645\u6548\u80fd\u9ad8\u3002<\/p>\n<p>BM\u7b97\u6cd5\u5b9a\u4e49\u4e86\u4e24\u4e2a\u89c4\u5219\uff1a<\/p>\n<ul>\n<li>\u574f\u5b57\u7b26\u89c4\u5219\uff1a\u5f53\u6587\u672c\u4e32\u4e2d\u7684\u67d0\u4e2a\u5b57\u7b26\u8ddf\u6a21\u5f0f\u4e32\u7684\u67d0\u4e2a\u5b57\u7b26\u4e0d\u5339\u914d\u65f6\uff0c\u6211\u4eec\u79f0\u6587\u672c\u4e32\u4e2d\u7684\u8fd9\u4e2a\u5931\u914d\u5b57\u7b26\u4e3a\u574f\u5b57\u7b26\uff0c\u6b64\u65f6\u6a21\u5f0f\u4e32\u9700\u8981\u5411\u53f3\u79fb\u52a8\uff0c\u79fb\u52a8\u7684\u4f4d\u6570 = \u574f\u5b57\u7b26\u5728\u6a21\u5f0f\u4e32\u4e2d\u7684\u4f4d\u7f6e &#8211; \u574f\u5b57\u7b26\u5728\u6a21\u5f0f\u4e32\u4e2d\u6700\u53f3\u51fa\u73b0\u7684\u4f4d\u7f6e\u3002\u6b64\u5916\uff0c\u5982\u679c&#8221;\u574f\u5b57\u7b26&#8221;\u4e0d\u5305\u542b\u5728\u6a21\u5f0f\u4e32\u4e4b\u4e2d\uff0c\u5219\u6700\u53f3\u51fa\u73b0\u4f4d\u7f6e\u4e3a-1\u3002<\/li>\n<li>\u597d\u540e\u7f00\u89c4\u5219\uff1a\u5f53\u5b57\u7b26\u5931\u914d\u65f6\uff0c\u540e\u79fb\u4f4d\u6570 = \u597d\u540e\u7f00\u5728\u6a21\u5f0f\u4e32\u4e2d\u7684\u4f4d\u7f6e &#8211; \u597d\u540e\u7f00\u5728\u6a21\u5f0f\u4e32\u4e0a\u4e00\u6b21\u51fa\u73b0\u7684\u4f4d\u7f6e\uff0c\u4e14\u5982\u679c\u597d\u540e\u7f00\u5728\u6a21\u5f0f\u4e32\u4e2d\u6ca1\u6709\u518d\u6b21\u51fa\u73b0\uff0c\u5219\u4e3a-1\u3002<\/li>\n<\/ul>\n<p>\u4e0b\u9762\u4e3e\u4f8b\u8bf4\u660eBM\u7b97\u6cd5\u3002\u4f8b\u5982\uff0c\u7ed9\u5b9a\u6587\u672c\u4e32\u201cHERE IS A SIMPLE EXAMPLE\u201d\uff0c\u548c\u6a21\u5f0f\u4e32\u201cEXAMPLE\u201d\uff0c\u73b0\u8981\u67e5\u627e\u6a21\u5f0f\u4e32\u662f\u5426\u5728\u6587\u672c\u4e32\u4e2d\uff0c\u5982\u679c\u5b58\u5728\uff0c\u8fd4\u56de\u6a21\u5f0f\u4e32\u5728\u6587\u672c\u4e32\u4e2d\u7684\u4f4d\u7f6e\u3002<\/p>\n<p><span class=\"Apple-converted-space\">\u00a0<em>1<\/em>.\u00a0\u9996\u5148\uff0c&#8221;\u6587\u672c\u4e32&#8221;\u4e0e&#8221;\u6a21\u5f0f\u4e32&#8221;\u5934\u90e8\u5bf9\u9f50\uff0c\u4ece\u5c3e\u90e8\u5f00\u59cb\u6bd4\u8f83\u3002&#8221;S&#8221;\u4e0e&#8221;E&#8221;\u4e0d\u5339\u914d\u3002\u8fd9\u65f6\uff0c&#8221;S&#8221;\u5c31\u88ab\u79f0\u4e3a&#8221;\u574f\u5b57\u7b26&#8221;\uff08bad character\uff09\uff0c\u5373\u4e0d\u5339\u914d\u7684\u5b57\u7b26\uff0c\u5b83\u5bf9\u5e94\u7740\u6a21\u5f0f\u4e32\u7684\u7b2c6\u4f4d\u3002\u4e14&#8221;S&#8221;\u4e0d\u5305\u542b\u5728\u6a21\u5f0f\u4e32&#8221;EXAMPLE&#8221;\u4e4b\u4e2d\uff08\u76f8\u5f53\u4e8e\u6700\u53f3\u51fa\u73b0\u4f4d\u7f6e\u662f-1\uff09\uff0c\u8fd9\u610f\u5473\u7740\u53ef\u4ee5\u628a\u6a21\u5f0f\u4e32\u540e\u79fb6-(-1)=7\u4f4d\uff0c\u4ece\u800c\u76f4\u63a5\u79fb\u5230&#8221;S&#8221;\u7684\u540e\u4e00\u4f4d\u3002<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140728192101322\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0<em>2<\/em>.\u00a0\u4f9d\u7136\u4ece\u5c3e\u90e8\u5f00\u59cb\u6bd4\u8f83\uff0c\u53d1\u73b0&#8221;P&#8221;\u4e0e&#8221;E&#8221;\u4e0d\u5339\u914d\uff0c\u6240\u4ee5&#8221;P&#8221;\u662f&#8221;\u574f\u5b57\u7b26&#8221;\u3002\u4f46\u662f\uff0c&#8221;P&#8221;\u5305\u542b\u5728\u6a21\u5f0f\u4e32&#8221;EXAMPLE&#8221;\u4e4b\u4e2d\u3002\u56e0\u4e3a\u201cP\u201d\u8fd9\u4e2a\u201c\u574f\u5b57\u7b26\u201d\u5bf9\u5e94\u7740\u6a21\u5f0f\u4e32\u7684\u7b2c6\u4f4d\uff08\u4ece0\u5f00\u59cb\u7f16\u53f7\uff09\uff0c\u4e14\u5728\u6a21\u5f0f\u4e32\u4e2d\u7684\u6700\u53f3\u51fa\u73b0\u4f4d\u7f6e\u4e3a4\uff0c\u6240\u4ee5\uff0c\u5c06\u6a21\u5f0f\u4e32\u540e\u79fb6-4=2\u4f4d\uff0c\u4e24\u4e2a&#8221;P&#8221;\u5bf9\u9f50\u3002<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140728192109185\" alt=\"\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140728192118623\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0 \u00a0\u00a0<em>3<\/em>.\u00a0\u4f9d\u6b21\u6bd4\u8f83\uff0c\u5f97\u5230 \u201cMPLE\u201d\u5339\u914d\uff0c\u79f0\u4e3a&#8221;\u597d\u540e\u7f00&#8221;\uff08good suffix\uff09\uff0c\u5373\u6240\u6709\u5c3e\u90e8\u5339\u914d\u7684\u5b57\u7b26\u4e32\u3002\u6ce8\u610f\uff0c&#8221;MPLE&#8221;\u3001&#8221;PLE&#8221;\u3001&#8221;LE&#8221;\u3001&#8221;E&#8221;\u90fd\u662f\u597d\u540e\u7f00\u3002<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140728193254930\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0 \u00a0\u00a0<em>4<\/em>.\u00a0\u53d1\u73b0\u201cI\u201d\u4e0e\u201cA\u201d\u4e0d\u5339\u914d\uff1a\u201cI\u201d\u662f\u574f\u5b57\u7b26\u3002\u5982\u679c\u662f\u6839\u636e\u574f\u5b57\u7b26\u89c4\u5219\uff0c\u6b64\u65f6\u6a21\u5f0f\u4e32\u5e94\u8be5\u540e\u79fb2-(-1)=3\u4f4d\u3002\u95ee\u9898\u662f\uff0c\u6709\u6ca1\u6709\u66f4\u4f18\u7684\u79fb\u6cd5\uff1f<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140728193420403\" alt=\"\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140728193428671\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0 \u00a0\u00a0<em>5<\/em>. \u66f4\u4f18\u7684\u79fb\u6cd5\u662f\u5229\u7528\u597d\u540e\u7f00\u89c4\u5219\uff1a\u5f53\u5b57\u7b26\u5931\u914d\u65f6\uff0c\u540e\u79fb\u4f4d\u6570 = \u597d\u540e\u7f00\u5728\u6a21\u5f0f\u4e32\u4e2d\u7684\u4f4d\u7f6e &#8211; \u597d\u540e\u7f00\u5728\u6a21\u5f0f\u4e32\u4e2d\u4e0a\u4e00\u6b21\u51fa\u73b0\u7684\u4f4d\u7f6e\uff0c\u4e14\u5982\u679c\u597d\u540e\u7f00\u5728\u6a21\u5f0f\u4e32\u4e2d\u6ca1\u6709\u518d\u6b21\u51fa\u73b0\uff0c\u5219\u4e3a-1\u3002<br \/>\n\u6240\u6709\u7684\u201c\u597d\u540e\u7f00\u201d\uff08MPLE\u3001PLE\u3001LE\u3001E\uff09\u4e4b\u4e2d\uff0c\u53ea\u6709\u201cE\u201d\u5728\u201cEXAMPLE\u201d\u7684\u5934\u90e8\u51fa\u73b0\uff0c\u6240\u4ee5\u540e\u79fb6-0=6\u4f4d\u3002<br \/>\n\u53ef\u4ee5\u770b\u51fa\uff0c\u201c\u574f\u5b57\u7b26\u89c4\u5219\u201d\u53ea\u80fd\u79fb3\u4f4d\uff0c\u201c\u597d\u540e\u7f00\u89c4\u5219\u201d\u53ef\u4ee5\u79fb6\u4f4d\u3002\u6bcf\u6b21\u540e\u79fb\u8fd9\u4e24\u4e2a\u89c4\u5219\u4e4b\u4e2d\u7684\u8f83\u5927\u503c\u3002\u8fd9\u4e24\u4e2a\u89c4\u5219\u7684\u79fb\u52a8\u4f4d\u6570\uff0c\u53ea\u4e0e\u6a21\u5f0f\u4e32\u6709\u5173\uff0c\u4e0e\u539f\u6587\u672c\u4e32\u65e0\u5173\u3002<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140728194226031\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0<em>6<\/em>.\u00a0\u7ee7\u7eed\u4ece\u5c3e\u90e8\u5f00\u59cb\u6bd4\u8f83\uff0c\u201cP\u201d\u4e0e\u201cE\u201d\u4e0d\u5339\u914d\uff0c\u56e0\u6b64\u201cP\u201d\u662f\u201c\u574f\u5b57\u7b26\u201d\uff0c\u6839\u636e\u201c\u574f\u5b57\u7b26\u89c4\u5219\u201d\uff0c\u540e\u79fb 6 &#8211; 4 = 2\u4f4d\u3002\u56e0\u4e3a\u662f\u6700\u540e\u4e00\u4f4d\u5c31\u5931\u914d\uff0c\u5c1a\u672a\u83b7\u5f97\u597d\u540e\u7f00\u3002<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/img-blog.csdn.net\/20140728194006343\" alt=\"\" \/><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0 \u00a0 \u7531\u4e0a\u53ef\u77e5\uff0cBM\u7b97\u6cd5\u4e0d\u4ec5\u6548\u7387\u9ad8\uff0c\u800c\u4e14\u6784\u601d\u5de7\u5999\uff0c\u5bb9\u6613\u7406\u89e3\u3002<\/span><\/p>\n<p>&nbsp;<\/p>\n<h2><a name=\"t9\"><\/a>5. \u6269\u5c552\uff1aSunday\u7b97\u6cd5<\/h2>\n<p>\u4e0a\u6587\u4e2d\uff0c\u6211\u4eec\u5df2\u7ecf\u4ecb\u7ecd\u4e86KMP\u7b97\u6cd5\u548cBM\u7b97\u6cd5\uff0c\u8fd9\u4e24\u4e2a\u7b97\u6cd5\u5728\u6700\u574f\u60c5\u51b5\u4e0b\u5747\u5177\u6709\u7ebf\u6027\u7684\u67e5\u627e\u65f6\u95f4\u3002\u4f46\u5b9e\u9645\u4e0a\uff0cKMP\u7b97\u6cd5\u5e76\u4e0d\u6bd4\u6700\u7b80\u5355\u7684c\u5e93\u51fd\u6570strstr()\u5feb\u591a\u5c11\uff0c\u800cBM\u7b97\u6cd5\u867d\u7136\u901a\u5e38\u6bd4KMP\u7b97\u6cd5\u5feb\uff0c\u4f46BM\u7b97\u6cd5\u4e5f\u8fd8\u4e0d\u662f\u73b0\u6709\u5b57\u7b26\u4e32\u67e5\u627e\u7b97\u6cd5\u4e2d\u6700\u5feb\u7684\u7b97\u6cd5\uff0c\u672c\u6587\u6700\u540e\u518d\u4ecb\u7ecd\u4e00\u79cd\u6bd4BM\u7b97\u6cd5\u66f4\u5feb\u7684\u67e5\u627e\u7b97\u6cd5\u5373Sunday\u7b97\u6cd5\u3002<\/p>\n<p>Sunday\u7b97\u6cd5\u7531Daniel M.Sunday\u57281990\u5e74\u63d0\u51fa\uff0c\u5b83\u7684\u601d\u60f3\u8ddfBM\u7b97\u6cd5\u5f88\u76f8\u4f3c\uff1a<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>\u53ea\u4e0d\u8fc7Sunday\u7b97\u6cd5\u662f\u4ece\u524d\u5f80\u540e\u5339\u914d\uff0c\u5728\u5339\u914d\u5931\u8d25\u65f6\u5173\u6ce8\u7684\u662f\u6587\u672c\u4e32\u4e2d\u53c2\u52a0\u5339\u914d\u7684\u6700\u672b\u4f4d\u5b57\u7b26\u7684\u4e0b\u4e00\u4f4d\u5b57\u7b26\u3002\n<ul>\n<li>\u5982\u679c\u8be5\u5b57\u7b26\u6ca1\u6709\u5728\u6a21\u5f0f\u4e32\u4e2d\u51fa\u73b0\u5219\u76f4\u63a5\u8df3\u8fc7\uff0c\u5373\u79fb\u52a8\u4f4d\u6570 = \u5339\u914d\u4e32\u957f\u5ea6 + 1\uff1b<\/li>\n<li>\u5426\u5219\uff0c\u5176\u79fb\u52a8\u4f4d\u6570\u00a0= \u6a21\u5f0f\u4e32\u4e2d\u6700\u53f3\u7aef\u7684\u8be5\u5b57\u7b26\u5230\u672b\u5c3e\u7684\u8ddd\u79bb+1\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u4e0b\u9762\u4e3e\u4e2a\u4f8b\u5b50\u8bf4\u660e\u4e0bSunday\u7b97\u6cd5\u3002\u5047\u5b9a\u73b0\u5728\u8981\u5728\u6587\u672c\u4e32&#8221;substring searching algorithm&#8221;\u4e2d\u67e5\u627e\u6a21\u5f0f\u4e32&#8221;search&#8221;\u3002<\/p>\n<p><span class=\"Apple-converted-space\">\u00a0<em>1<\/em>. \u521a\u5f00\u59cb\u65f6\uff0c\u628a\u6a21\u5f0f\u4e32\u4e0e\u6587\u672c\u4e32\u5de6\u8fb9\u5bf9\u9f50\uff1a<br \/>\nsubstring\u00a0searching\u00a0algorithm<br \/>\nsearch<br \/>\n^<br \/>\n<em>2<\/em>. \u7ed3\u679c\u53d1\u73b0\u5728\u7b2c2\u4e2a\u5b57\u7b26\u5904\u53d1\u73b0\u4e0d\u5339\u914d\uff0c\u4e0d\u5339\u914d\u65f6\u5173\u6ce8\u6587\u672c\u4e32\u4e2d\u53c2\u52a0\u5339\u914d\u7684\u6700\u672b\u4f4d\u5b57\u7b26\u7684\u4e0b\u4e00\u4f4d\u5b57\u7b26\uff0c\u5373\u6807\u7c97\u7684\u5b57\u7b26 i\uff0c\u56e0\u4e3a\u6a21\u5f0f\u4e32search\u4e2d\u5e76\u4e0d\u5b58\u5728i\uff0c\u6240\u4ee5\u6a21\u5f0f\u4e32\u76f4\u63a5\u8df3\u8fc7\u4e00\u5927\u7247\uff0c\u5411\u53f3\u79fb\u52a8\u4f4d\u6570 = \u5339\u914d\u4e32\u957f\u5ea6 + 1 = 6 + 1 = 7\uff0c\u4ece i \u4e4b\u540e\u7684\u90a3\u4e2a\u5b57\u7b26\uff08\u5373\u5b57\u7b26n\uff09\u5f00\u59cb\u4e0b\u4e00\u6b65\u7684\u5339\u914d\uff0c\u5982\u4e0b\u56fe\uff1a<\/span><\/p>\n<p><span lang=\"en-us\" xml:lang=\"en-us\">substring\u00a0searching\u00a0algorithm<br \/>\nsearch<br \/>\n^<br \/>\n<span class=\"Apple-converted-space\">\u00a0<em>3<\/em>. \u7ed3\u679c\u7b2c\u4e00\u4e2a\u5b57\u7b26\u5c31\u4e0d\u5339\u914d\uff0c\u518d\u770b\u6587\u672c\u4e32\u4e2d\u53c2\u52a0\u5339\u914d\u7684\u6700\u672b\u4f4d\u5b57\u7b26\u7684\u4e0b\u4e00\u4f4d\u5b57\u7b26\uff0c\u662f&#8217;r&#8217;\uff0c\u5b83\u51fa\u73b0\u5728\u6a21\u5f0f\u4e32\u4e2d\u7684\u5012\u6570\u7b2c3\u4f4d\uff0c\u4e8e\u662f\u628a\u6a21\u5f0f\u4e32\u5411\u53f3\u79fb\u52a83\u4f4d\uff08r \u5230\u6a21\u5f0f\u4e32\u672b\u5c3e\u7684\u8ddd\u79bb + 1 = 2 + 1 =3\uff09\uff0c\u4f7f\u4e24\u4e2a&#8217;r&#8217;\u5bf9\u9f50\uff0c\u5982\u4e0b\uff1a<br \/>\nsubstring\u00a0searching\u00a0algorithm<br \/>\nsearch<br \/>\n^<\/span><\/span><\/p>\n<p><span class=\"Apple-converted-space\">\u00a0<em>4<\/em>. \u5339\u914d\u6210\u529f\u3002<\/span><\/p>\n<p>\u56de\u987e\u6574\u4e2a\u8fc7\u7a0b\uff0c\u6211\u4eec\u53ea\u79fb\u52a8\u4e86\u4e24\u6b21\u6a21\u5f0f\u4e32\u5c31\u627e\u5230\u4e86\u5339\u914d\u4f4d\u7f6e\uff0c\u7f18\u4e8eSunday\u7b97\u6cd5\u6bcf\u4e00\u6b65\u7684\u79fb\u52a8\u91cf\u90fd\u6bd4\u8f83\u5927\uff0c\u6548\u7387\u5f88\u9ad8\u3002\u5b8c\u3002<\/p>\n<p>&nbsp;<\/p>\n<h2><a name=\"t10\"><\/a>6. \u53c2\u8003\u6587\u732e<\/h2>\n<ol>\n<li>\u300a\u7b97\u6cd5\u5bfc\u8bba\u300b\u7684\u7b2c\u5341\u4e8c\u7ae0\uff1a\u5b57\u7b26\u4e32\u5339\u914d\uff1b<\/li>\n<li>\u672c\u6587\u4e2d\u6a21\u5f0f\u4e32\u201cABCDABD\u201d\u7684\u90e8\u5206\u56fe\u6765\u81ea\u4e8e\u6b64\u6587\uff1a<a href=\"http:\/\/www.ruanyifeng.com\/blog\/2013\/05\/Knuth%E2%80%93Morris%E2%80%93Pratt_algorithm.html\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/www.ruanyifeng.com\/blog\/2013\/05\/Knuth%E2%80%93Morris%E2%80%93Pratt_algorithm.html<\/a>\uff1b<\/li>\n<li>\u672c\u65873.3.7\u8282\u4e2d\u6709\u9650\u72b6\u6001\u81ea\u52a8\u673a\u7684\u56fe\u7531\u5fae\u535a\u7f51\u53cb@\u9f9a\u9646\u5b89 \u7ed8\u5236\uff1a<a href=\"http:\/\/d.pr\/i\/NEiz\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/d.pr\/i\/NEiz<\/a>\uff1b<\/li>\n<li>\u5317\u4eac7\u6708\u6691\u5047\u73ed\u90b9\u535a\u534a\u5c0f\u65f6KMP\u89c6\u9891\uff1a<a href=\"http:\/\/www.julyedu.com\/video\/play\/id\/5\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/www.julyedu.com\/video\/play\/id\/5<\/a>\uff1b<\/li>\n<li>\u5317\u4eac7\u6708\u6691\u5047\u73ed\u90b9\u535a\u7b2c\u4e8c\u6b21\u8bfe\u7684PPT\uff1a<a href=\"http:\/\/yun.baidu.com\/s\/1mgFmw7u\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/yun.baidu.com\/s\/1mgFmw7u<\/a>\uff1b<\/li>\n<li>\u7406\u89e3KMP \u76849\u5f20PPT\uff1a<a href=\"http:\/\/weibo.com\/1580904460\/BeCCYrKz3#_rnd1405957424876\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/weibo.com\/1580904460\/BeCCYrKz3#_rnd1405957424876<\/a>\uff1b<\/li>\n<li>\u8be6\u89e3KMP\u7b97\u6cd5\uff08\u591a\u56fe\uff09\uff1a<a href=\"http:\/\/www.cnblogs.com\/yjiyjige\/p\/3263858.html\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/www.cnblogs.com\/yjiyjige\/p\/3263858.html<\/a>\uff1b<\/li>\n<li>\u672c\u6587\u7b2c4\u90e8\u5206\u7684BM\u7b97\u6cd5\u53c2\u8003\u81ea\u6b64\u6587\uff1a<a href=\"http:\/\/www.ruanyifeng.com\/blog\/2013\/05\/boyer-moore_string_search_algorithm.html\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/www.ruanyifeng.com\/blog\/2013\/05\/boyer-moore_string_search_algorithm.html<\/a>\uff1b<\/li>\n<li><a href=\"http:\/\/youlvconglin.blog.163.com\/blog\/static\/5232042010530101020857\/\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/youlvconglin.blog.163.com\/blog\/static\/5232042010530101020857<\/a>\uff1b<\/li>\n<li>\u300a\u6570\u636e\u7ed3\u6784 \u7b2c\u4e8c\u7248\u300b\uff0c\u4e25\u851a\u654f &amp; \u5434\u4f1f\u6c11\u7f16\u8457\uff1b<\/li>\n<li><a href=\"http:\/\/blog.csdn.net\/v_JULY_v\/article\/details\/6545192\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/blog.csdn.net\/v_JULY_v\/article\/details\/6545192<\/a>\uff1b<\/li>\n<li><a href=\"http:\/\/blog.csdn.net\/v_JULY_v\/article\/details\/6111565\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/blog.csdn.net\/v_JULY_v\/article\/details\/6111565<\/a>\uff1b<\/li>\n<li>Sunday\u7b97\u6cd5\u7684\u539f\u7406\u4e0e\u5b9e\u73b0\uff1a<a href=\"http:\/\/blog.chinaunix.net\/uid-22237530-id-1781825.html\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/blog.chinaunix.net\/uid-22237530-id-1781825.html<\/a>\uff1b<\/li>\n<li>\u6a21\u5f0f\u5339\u914d\u4e4bSunday\u7b97\u6cd5\uff1a<a href=\"http:\/\/blog.csdn.net\/sunnianzhong\/article\/details\/8820123\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/blog.csdn.net\/sunnianzhong\/article\/details\/8820123<\/a>\uff1b<\/li>\n<li>\u4e00\u7bc7KMP\u7684\u82f1\u6587\u4ecb\u7ecd\uff1a<a href=\"http:\/\/www.inf.fh-flensburg.de\/lang\/algorithmen\/pattern\/kmpen.htm\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/www.inf.fh-flensburg.de\/lang\/algorithmen\/pattern\/kmpen.htm<\/a>\uff1b<\/li>\n<li>\u62112014\u5e749\u67083\u65e5\u5728\u897f\u5b89\u7535\u5b50\u79d1\u6280\u5927\u5b66\u7684\u9762\u8bd5&amp;\u7b97\u6cd5\u8bb2\u5ea7\u89c6\u9891\uff08\u7b2c36\u5206\u949f~\u7b2c94\u5206\u949f\u8bb2KMP\uff09\uff1a<a href=\"http:\/\/www.julyedu.com\/video\/play\/21\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/www.julyedu.com\/video\/play\/21<\/a>\u3002<\/li>\n<li>\u4e00\u5e45\u56fe\u7406\u89e3KMP next\u6570\u7ec4\u7684\u6c42\u6cd5\uff1a<a href=\"http:\/\/v.atob.site\/kmp-next.html\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/v.atob.site\/kmp-next.html <\/a>\u3002<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<h2><a name=\"t11\"><\/a>7. \u540e\u8bb0<\/h2>\n<p>\u5bf9\u4e4b\u524d\u6df7\u4e71\u7684\u6587\u7ae0\u7ed9\u5e7f\u5927\u8bfb\u8005\u5e26\u6765\u7684\u56f0\u6270\u8868\u793a\u81f4\u6b49\uff0c\u5bf9\u91cd\u65b0\u5199\u5c31\u540e\u7684\u672c\u6587\u5373\u5c06\u7ed9\u8bfb\u8005\u5e26\u6765\u7684\u6e05\u6670\u8868\u793a\u6b23\u6170\u3002\u5e0c\u671b\u5927\u90e8\u5206\u7684\u521d\u5b66\u8005\uff0c\u751a\u81f3\u5c11\u90e8\u5206\u7684\u975e\u8ba1\u7b97\u673a\u4e13\u4e1a\u8bfb\u8005\u4e5f\u80fd\u770b\u61c2\u6b64\u6587\u3002\u6709\u4efb\u4f55\u95ee\u9898\uff0c\u6b22\u8fce\u968f\u65f6\u6279\u8bc4\u6307\u6b63\uff0cthanks\u3002<\/p>\n<p>July\u3001\u4e8c\u96f6\u4e00\u56db\u5e74\u516b\u6708\u4e8c\u5341\u4e8c\u65e5\u665a\u4e5d\u70b9\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u539f\u6587\u5730\u5740 &nbsp; \u4f5c\u8005\uff1aJuly <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"colormag_page_container_layout":"default_layout","colormag_page_sidebar_layout":"default_layout","footnotes":""},"categories":[],"tags":[119],"class_list":["post-3797","post","type-post","status-publish","format-standard","hentry","tag-03-"],"_links":{"self":[{"href":"https:\/\/i007.cc\/wordpress\/wp-json\/wp\/v2\/posts\/3797","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/i007.cc\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/i007.cc\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/i007.cc\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/i007.cc\/wordpress\/wp-json\/wp\/v2\/comments?post=3797"}],"version-history":[{"count":0,"href":"https:\/\/i007.cc\/wordpress\/wp-json\/wp\/v2\/posts\/3797\/revisions"}],"wp:attachment":[{"href":"https:\/\/i007.cc\/wordpress\/wp-json\/wp\/v2\/media?parent=3797"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/i007.cc\/wordpress\/wp-json\/wp\/v2\/categories?post=3797"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/i007.cc\/wordpress\/wp-json\/wp\/v2\/tags?post=3797"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}