{"id":355,"date":"2013-03-16T15:40:00","date_gmt":"2013-03-16T07:40:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/259"},"modified":"2013-03-16T15:40:00","modified_gmt":"2013-03-16T07:40:00","slug":"palindrome_substring_extended_the_kmp-kmp_palindrome_substring","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=355","title":{"rendered":"\u56de\u6587\u5b50\u4e32\u5bf9(\u6269\u5c55kmp-kmp\u4e0e\u56de\u6587\u5b50\u4e32)"},"content":{"rendered":"<p>Problem 1 \u56de\u6587\u5b50\u4e32\u5bf9(manacher.cpp\/c\/pas)<\/p>\n<p>\u3010\u9898\u76ee\u63cf\u8ff0\u3011<\/p>\n<p>\u7ed9\u5b9a\u4e00\u957f\u5ea6\u4e3an\u7684\u5c0f\u5199\u5b57\u6bcd\u4e32\uff0c\u6c42\u6709\u591a\u5c11\u5bf9\u56de\u6587\u5b50\u4e32\uff0c\u5b83\u4eec\u7684\u4ea4\u96c6\u975e\u7a7a\u3002<\/p>\n<p>\u4e00\u5bf9\u56de\u6587\u5b50\u4e32\u7684\u4ea4\u96c6\u975e\u7a7a\uff1a[a,b]\u3001[c,d](a\u2260c\u6216b\u2260d)\u4e3a2\u4e2a\u56de\u6587\u5b50\u4e32\uff0c\u4e14[a,b]\u2229[c,d]\u2260\u2205\u3002<\/p>\n<p>\u3010\u8f93\u5165&#26684;\u5f0f\u3011<\/p>\n<p>\u7b2c\u4e00\u884c\u4e00\u4e2a\u6574\u6570n\u8868\u793a\u4e32\u957f\u3002<\/p>\n<p>\u7b2c\u4e8c\u884c\u957f\u5ea6\u4e3an\u7684\u5c0f\u5199\u5b57\u6bcd\u4e32\u3002<\/p>\n<p>\u3010\u8f93\u51fa&#26684;\u5f0f\u3011<\/p>\n<p>\u8f93\u51fa\u4e00\u4e2a\u6574\u6570\u8868\u793a\u7b54\u6848\uff0c\u7b54\u6848\u5bf91000000007\u53d6\u6a21\u3002<\/p>\n<p>\u3010\u6837\u4f8b\u8f93\u5165\u3011<\/p>\n<p>4<\/p>\n<p>babb<\/p>\n<p>\u3010\u6837\u4f8b\u8f93\u51fa\u3011<\/p>\n<p>6<\/p>\n<p>\u3010\u6570\u636e\u8303\u56f4\u3011<\/p>\n<p>\u5bf9\u4e8e30%\u7684\u6570\u636e\uff0cn&lt;=1000<\/p>\n<p>\u53e6\u670910%\u7684\u6570\u636e\uff0c\u4e32\u91cc\u4ec5\u542b\u4e00\u79cd\u5b57\u6bcd\u3002<\/p>\n<p>\u5bf9\u4e8e100%\u7684\u6570\u636e\uff0cn&lt;=2*10^6<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-size:14px\">\u627e\u5230\u6700\u524d\u9762\u7684max(r[j]&#43;j),\u6620\u5c04\u8fc7\u53bb<\/span><\/p>\n<p><span style=\"font-size:14px\">\u8bber[i]\u8868\u793a\u4ee5i\u70b9\u4e3a\u4e2d\u5fc3\u70b9\u7684\u6700\u957f\u56de\u6587\u5b50\u4e32<\/span><\/p>\n<p><span style=\"font-size:14px\">\u5219\u5982\u56fe\uff1a<\/span><\/p>\n<p><span style=\"font-size:14px\"><img decoding=\"async\" src=\"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1363420356_5726.png\" alt=\"\" \/><br \/>\n<\/span><\/p>\n<p><span style=\"font-size:14px\"><br \/>\n<\/span><\/p>\n<p><span style=\"font-size:14px\"><\/span><\/p>\n<pre name=\"code\" class=\"cpp\">#include&lt;cstdio&gt;\n#include&lt;cstring&gt;\n#include&lt;cstdlib&gt;\n#include&lt;cmath&gt;\n#include&lt;iostream&gt;\n#include&lt;functional&gt;\n#include&lt;algorithm&gt;\nusing namespace std;\n#define F (1000000007)\n#define MAXN (2000000+10)\nusing namespace std;\nlong long r[MAXN],n,L[MAXN][2],R[MAXN][3];\nchar s[MAXN];\nint main()\n{\n\tfreopen(&quot;manacher.in&quot;,&quot;r&quot;,stdin);\n\tfreopen(&quot;manacher.out&quot;,&quot;w&quot;,stdout);\n\tscanf(&quot;%d%s&quot;,&amp;n,s+1);\n\tmemset(r,0,sizeof(r));\n\tmemset(L,0,sizeof(L));\n\tmemset(R,0,sizeof(R));\n\tint j=0;\n\tfor (int i=1;i&lt;=n;i++)\n\t{\n\t\tif (r[j]+j&gt;i) r[i]=min(r[j-(i-j)],j+r[j]-i);\n\t\twhile (i-r[i]&gt;1&amp;&amp;i+r[i]&lt;n&amp;&amp;s[i-r[i]-1]==s[i+r[i]+1]) r[i]++;\n\t\tif (r[i]+i&gt;r[j]+j) j=i;\n\t\tL[i-r[i]][0]+=1;\n\t\tL[i+1][0]-=1;\n\t\tR[i][0]++;\n\t\tR[i+r[i]+1][0]--;\n\t}\n\/\/\tfor (int i=1;i&lt;=n;i++) cout&lt;&lt;r[i]&lt;&lt;' ';cout&lt;&lt;endl;\n\tj=0;memset(r,0,sizeof(r));\n\tfor (int i=1;i&lt;n;i++)\n\t{\n\t\tif (r[j]+j&gt;i) r[i]=min(r[j-(i-j)],j+r[j]-i);\n\t\twhile (i-r[i]&gt;0&amp;&amp;i+r[i]&lt;=n&amp;&amp;s[i+1-r[i]-1]==s[i+r[i]+1]) r[i]++;\n\t\tif (r[i]+i&gt;r[j]+j) j=i;\n\t\tL[i+1-r[i]][0]+=1;\n\t\tL[i+1][0]-=1;\n\t\tR[i+1][0]++;\n\t\tR[i+r[i]+1][0]--;\n\t}\n\/*\n\tfor (int i=1;i&lt;=n;i++) cout&lt;&lt;L[i][0]&lt;&lt;' ';cout&lt;&lt;endl;\n\tfor (int i=1;i&lt;=n;i++) cout&lt;&lt;R[i][0]&lt;&lt;' ';cout&lt;&lt;endl;\n*\/\n\tfor (int i=1;i&lt;=n;i++) L[i][1]=L[i][0]+L[i-1][1];\n\tfor (int j=1;j&lt;=2;j++)\n\t\tfor (int i=1;i&lt;=n;i++)\n\t\t\tR[i][j]=R[i-1][j]+R[i][j-1];\n\tlong long ans=0;\n\tfor (int i=1;i&lt;=n;i++)\n\t\tans=(ans+L[i][1]*R[i-1][2])%F;\n\tlong long tot=0;\n\tif (R[n][2]%2) tot=(((R[n][2]-1)\/2)%F)*((R[n][2])%F)%F;\n\telse tot=(((R[n][2])\/2)%F)*((R[n][2]-1)%F)%F;\n\/\/\tcout&lt;&lt;tot&lt;&lt;' '&lt;&lt;ans&lt;&lt;endl;\n\n\tcout&lt;&lt;((tot-ans+F)%F)&lt;&lt;endl;\n\treturn 0;\n}<\/pre>\n<\/p>\n<p><span style=\"font-size:14px\"><br \/>\n<\/span><\/p>\n<p><span style=\"font-size:14px\"><br \/>\n<\/span><\/p>\n<p><span style=\"font-size:14px\"><br \/>\n<\/span><\/p>\n<p>\n<\/p>\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problem 1 \u56de\u6587\u5b50\u4e32\u5bf9(manacher.cpp\/c\/pas) \u3010\u9898\u76ee\u63cf\u8ff0\u3011 \u7ed9\u5b9a\u4e00\u957f\u5ea6\u4e3an\u7684\u5c0f\u5199\u5b57\u6bcd [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[3],"tags":[34,70],"class_list":["post-355","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-kmp","tag-string_dp"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u56de\u6587\u5b50\u4e32\u5bf9(\u6269\u5c55kmp-kmp\u4e0e\u56de\u6587\u5b50\u4e32) - nike0good<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/nike0good.com\/?p=355\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u56de\u6587\u5b50\u4e32\u5bf9(\u6269\u5c55kmp-kmp\u4e0e\u56de\u6587\u5b50\u4e32) - nike0good\" \/>\n<meta property=\"og:description\" content=\"Problem 1 \u56de\u6587\u5b50\u4e32\u5bf9(manacher.cpp\/c\/pas) \u3010\u9898\u76ee\u63cf\u8ff0\u3011 \u7ed9\u5b9a\u4e00\u957f\u5ea6\u4e3an\u7684\u5c0f\u5199\u5b57\u6bcd [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nike0good.com\/?p=355\" \/>\n<meta property=\"og:site_name\" content=\"nike0good\" \/>\n<meta property=\"article:published_time\" content=\"2013-03-16T07:40:00+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1363420356_5726.png\" 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