{"id":150,"date":"2010-03-13T11:50:00","date_gmt":"2010-03-13T03:50:00","guid":{"rendered":"http:\/\/localhost\/?p=150"},"modified":"2010-03-13T11:50:00","modified_gmt":"2010-03-13T03:50:00","slug":"hnoi2008_gt_exam","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/wjmzbmr\/?p=150","title":{"rendered":"[HNOI2008]GT\u8003\u8bd5"},"content":{"rendered":"

61.187.179.132:8080\/JudgeOnline\/showproblem<\/a>
\u989d\u3002\u3002\u6c34\u9898\u76f4\u63a5\u4e0a\u77e9\u9635\u4e58\u6cd5\u3002\u3002
\u7531\u4e8em\u6bd4\u8f83\u5c0f\u5b9e\u9645\u4e0a\u6ca1\u5fc5\u8981\u7528KMP\u7b97\u6cd5\u7b97\u51fa\u539f\u59cb\u77e9\u9635\u7684\uff0c\u4e0d\u8fc7\u6211\u4e58\u673a\u5b66\u4e60\u4e86\u4e00\u4e0bKMP\u7b97\u6cd5\u56e7\u3002\u3002
\u8fd8\u6709\u5c31\u662f\u6211\u6628\u5929\u4e00\u76f4\u5728\u8c03\u6211\u90a3\u4e2aQTREE\u7684\u7a0b\u5e8f\u3002\u3002\u5230\u73b0\u5728\u90fd\u6ca1\u6709\u8c03\u597d\u3002\u3002\u6211\u771f\u662f\u592a\u83dc\u4e86555.
Code\uff1a
#include<cstdio>
#include<iostream>
#include<algorithm>
#include<string>
#include<vector>
#include<cstring>
#define rep(i,n) for(int i=0;i<n;i++)
#define pb push_back
using namespace std;
const int inf=~0U>>1,maxm=20;
int n,m,mod,A[maxm],next[maxm+1];
struct Mat
{
int M[maxm][maxm];
Mat(){memset(M,0,sizeof(M));}
void operator=(const Mat&o)
{memcpy(M,o.M,sizeof(M));}
int& operator()(int i,int j){return M[i][j];}
Mat operator*(Mat&o)
{
Mat T;
rep(i,m)rep(j,m)rep(k,m)T(i,j)+=M[i][k]*o(k,j),T(i,j)%=mod;
return T;
}
}orig;
Mat Power(int n)
{
if(n==1) return orig;
Mat tmp=Power(n\/2);
tmp=tmp*tmp;
if(n&1) tmp=tmp*orig;
return tmp;
}
int main()
{
\/\/freopen("in","r",stdin);
cin>>n>>m>>mod;char x;
rep(i,m) cin>>x,A[i+1]=x-‘0’;
next[1]=0;int t=0;
for(int i=2;i<=m;i++)
{
while(t>0&&A[t+1]!=A[i]) t=next[t];
if(A[t+1]==A[i])++t;
next[i]=t;
}
for(int i=0;i<m;++i)
{
rep(j,10)
{
int t=i;
while(t>0&&A[t+1]!=j)t=next[t];
if(A[t+1]==j)++t;
orig(t,i)++;
}
}
Mat ans=Power(n);int Ans=0;
rep(i,m) Ans+=ans(i,0),Ans%=mod;
cout<<Ans<<endl;
} <\/p>\n","protected":false},"excerpt":{"rendered":"

61.187.179.132:8080\/JudgeOnline\/showproblem\u989d\u3002\u3002\u6c34\u9898\u76f4\u63a5\u4e0a\u77e9\u9635\u4e58\u6cd5\u3002\u3002\u7531\u4e8em\u6bd4\u8f83\u5c0f\u5b9e\u9645\u4e0a\u6ca1\u5fc5\u8981\u7528KMP\u7b97\u6cd5\u7b97\u51fa\u539f\u59cb\u77e9\u9635\u7684\uff0c\u4e0d\u8fc7\u6211\u4e58\u673a\u5b66\u4e60\u4e86\u4e00\u4e0bKMP\u7b97\u6cd5\u56e7\u3002\u3002\u8fd8\u6709\u5c31\u662f\u6211\u6628\u5929\u4e00\u76f4\u5728\u8c03\u6211\u90a3\u4e2aQTREE\u7684\u7a0b\u5e8f\u3002\u3002\u5230\u73b0\u5728\u90fd\u6ca1\u6709\u8c03\u597d\u3002\u3002\u6211\u771f\u662f\u592a\u83dc\u4e86555.Code\uff1a#include<cstdio>#include<iostream>#include<algorithm>#include<string>#include<vector>#include<cstring>#define rep(i,n) for(int i=0;i<n;i++)#define pb push_backusing namespace std;const int inf=~0U>>1,maxm=20;int n,m,mod,A[maxm],next[maxm+1];struct Mat{ int M[maxm][maxm]; Mat(){memset(M,0,sizeof(M));} void operator=(const Mat&o) {memcpy(M,o.M,sizeof(M));} int& operator()(int i,int j){return M[i][j];} Mat operator*(Mat&o) { Mat T; rep(i,m)rep(j,m)rep(k,m)T(i,j)+=M[i][k]*o(k,j),T(i,j)%=mod; return T; }}orig;Mat Power(int n){ if(n==1) return orig; Mat tmp=Power(n\/2); tmp=tmp*tmp; if(n&1) tmp=tmp*orig; return tmp;}int main(){ \/\/freopen("in","r",stdin); cin>>n>>m>>mod;char x; rep(i,m) cin>>x,A[i+1]=x-‘0’; next[1]=0;int t=0; for(int i=2;i<=m;i++) […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[10],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/150"}],"collection":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=150"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/150\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=150"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=150"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=150"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}