"Topic link" http://www.lydsy.com/JudgeOnline/problem.php?id=1030
"The main topic"
Find the number of strings that contain any given string
Exercises
We find the quantity that does not contain any given string, and use the complete set to reduce it,
For a given string set up AC automata, with 1 nodes as the root, 0 nodes to 1 even full character set transfer as a super-source,
So 0->match can match all strings that don't contain a given string,
DP[I][J] Indicates the number of strings matched to the I length, matched to the J-node of the AC automaton,
After statistics, take the complement set.
Code
#include <cstdio> #include <algorithm> #include <cstring> using namespace std;const int n=30010; namespace ac_dfa{const int csize=26; int tot,son[n][csize],sum[n],fail[n],q[n],match[n]; void Initialize () {memset (match,0,sizeof (int) * (tot+1)); memset (fail,0,sizeof (int) * (tot+1)); memset (sum,0,sizeof (int) * (tot+1)); for (int i=0;i<=tot;i++) for (int j=0;j<csize;j++) son[i][j]=0; Tot=1; } inline int Tr (char ch) {return ch-' A ';} int Insert (char *s) {int x=1; for (int L=strlen (s), i=0,w;i<l;i++) {if (!son[x][w=tr (S[i])]) {Son[x][w]=++tot; }X=SON[X][W]; }sum[x]++; return x; } void Makefail () {int h=1,t=0,i,j,x=1; q[++t]=1; while (h<=t) for (x=q[h++],i=0;i<csize;i++) if (Son[x][i]) {Fail[son[x][i]]=son[fail[x]][i],q[++t]=son [x] [i]; Match[son[x][i]]=sum[son[x][i]]?son[x][i]:match[fail[son[x][i]]; }else Son[x][i]=son[fail[x]][i]; }}using namespace Ac_dfa;const int p=10007;int Dp[110][n];char s[n];void dp (int x) {for (int i=1;i<=tot;i++) { if (match[i]| |! Dp[x-1][i]) continue; for (int j=0;j<csize;j++) {int k=i; while (!son[k][j]) k=fail[k]; Dp[x][son[k][j]]= (Dp[x][son[k][j]]+dp[x-1][i])%P; }}}int n,m; int main () {scanf ("%d%d", &n,&m); Initialize (); for (int i=0;i<csize;i++) son[0][i]=1; for (int i=1;i<=n;i++) {scanf ("%s", s); Insert (s);} Makefail (); int ans1=0,ans2=1; Dp[0][1]=1; for (int i=1;i<=m;i++) Dp (i); for (int i=1;i<=m;i++) ans2= (ans2*26)%P; for (int i=1;i<=tot;i++) if (!match[i]) ans1= (ans1+dp[m][i])%P; printf ("%d\n", (ans2-ans1+p)%P); return 0;}
Bzoj 1030 [JSOI2007] text generator (AC automaton)