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- #include <bits/stdc++.h>
- using namespace std;
- #define PB push_back
- #define ZERO (1e-10)
- #define INF int(1e9+1)
- #define CL(A,I) (memset(A,I,sizeof(A)))
- #define DEB printf("DEB!\n");
- #define D(X) cout<<" "<<#X": "<<X<<endl;
- #define EQ(A,B) (A+ZERO>B&&A-ZERO<B)
- typedef long long ll;
- typedef pair<ll,ll> pll;
- typedef vector<int> vi;
- typedef pair<int,int> ii;
- typedef vector<ii> vii;
- #define IN(n) int n;scanf("%d",&n);
- #define FOR(i, m, n) for (int i(m); i < n; i++)
- #define F(n) FOR(i,0,n)
- #define FF(n) FOR(j,0,n)
- #define FT(m, n) FOR(k, m, n)
- #define aa first
- #define bb second
- void ga(int N,int *A){F(N)scanf("%d",A+i);}
- #define MX (1024)
- #define AL (130)
- #define PT (MX)
- bool o[PT];
- int g[MX][AL],f[MX],E,q[MX];
- vi O[MX];
- void ini(){E=1;for(auto&h:O)h.clear();F(AL)g[0][i]=0;CL(f,0);}//MODIFY!! - no test for 2+
- void add(char*s,int I){
- int L=strlen(s),u=0,c;
- F(L){
- if(!g[u][c=s[i]]){
- g[u][c]=E++;
- F(AL)g[E-1][i]=0;
- }
- u=g[u][c];
- }
- O[u].PB(I);
- }
- void bld(){
- int x,r,b=-1,e=0,u;
- F(AL)if(g[0][i])f[g[0][i]]=0,q[e++]=g[0][i];
- while(++b<e)F(AL){
- x=g[u=q[b]][i],r=g[f[u]][i];
- if(!x)g[u][i]=r;
- else{
- q[e++]=x,f[x]=r;
- for(auto&h:O[r])O[x].PB(h);
- }
- }
- }
- void fnd(char*T){
- int L=strlen(T),u=0,c;
- F(L){
- c=T[i];
- while(u&&!g[u][c])u=f[u];
- u=g[u][c];
- for(auto&h:O[u])o[h]=1;
- }
- }
- #define CAL(s) CL(o,0),fnd(s)
- char s[MX];
- double p[MX],dp[MX][128];
- int N,C[MX][128],L;
- double dyn(int u,int l){
- if(!O[u].empty())return 1;
- if(!~l)return 0;
- double&v=dp[u][l];
- if(C[u][l]++)return v;
- v=0;
- F(N)v+=dyn(g[u][(int)s[i]],l-1)*p[i];
- return v;
- }
- int main(void){
- IN(_)F(_){
- scanf("%d",&N),ini(),CL(C,0);
- F(N)scanf("%s",s),add(s,i);
- bld();
- scanf("%d",&N);
- F(N)scanf(" %c%lf",s+i,p+i);
- scanf("%d",&L);
- printf("Case #%d: %.6lf\n",i+1,1-dyn(0,L-1));
- }
- return 0;
- }
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