Meaning of the questions: to give you the K pattern string, then, give you n characters, and their probability of occurrence p [i], certainly by the given pattern string of characters.
And all the characters, or numbers, either uppercase and lowercase letters. Ask you to generate a string of length L, does not contain any probability pattern string is.
Solution: memory search + AC automaton. To build a pattern string AC automaton, no Last [] and Val [], only one metch [].
Whether maintenance at this point is the last character of a pattern string node, and if so, this point can not go.
Then, the rest is from the root, just take the L-step, remember to memories of otherwise time-out.
Remember array large enough to open, or wa afternoon.
![](https://images.cnblogs.com/OutliningIndicators/ContractedBlock.gif)
#include <bits/stdc++.h> #define LL long long #define rep(i, j, k) for(int i = j; i <= k; i++) #define dep(i, j, k) for(int i = k; i >= j; i--) #define INF 0x3f3f3f3f #define inf 0x3f3f3f3f3f3f3f3f #define mem(i, j) memset(i, j, sizeof(i)) #define pb push_back using namespace std; const int N = 20 * 20 + 5, M = 105; char op[2]; double tmp; struct Trie { int a[N][M], tot, metch[N], Fail[N], vis[N][M], n; double p[N], dp[N][M]; char ch[M]; void init() { mem(a[0], 0); tot = 1; metch[0] = 0; mem(dp, 0); mem(p, 0); mem(vis, 0); } int get(char Q) { if(Q >= '0' && Q <= '9') return Q - '0' + 1; if(Q >= 'A' && Q <= 'Z') return Q - 'A' + 11; return Q - 'a' + 37; } void join(char s[]) { int now = 0; int len = strlen(s); rep(i, 0, len - 1) { int id = get(s[i]); if(!a[now][id]) { mem(a[tot], 0); metch[tot] = 0; a[now][id] = tot++; } now = a[now][id]; } metch[now] = 1; } void getFail() { queue<int> Q; while(!Q.empty()) Q.pop(); rep(i, 1, M - 1) { if(a[0][i]) { Q.push(a[0][i]); Fail[a[0][i]] = 0; } } while(!Q.empty()) { int now = Q.front(); Q.pop(); rep(i, 1, M - 1) { int u = a[now][i]; if(u == 0) a[now][i] = a[Fail[now]][i]; else { Q.push(u); Fail[u] = a[Fail[now]][i]; metch[u] |=metch [the Fail [U]]; } } } } Double DFS ( int now, int L) { IF (L!) return 1.0 ; IF (VIS [now] [L]) return DP [now] [L]; VIS [now] [L] = . 1 ; Double & ANS = DP [now] [L]; ANS = 0.0 ; REP (I, . 1 , M - . 1 ) { /// enumerate all possible characters IF (metch [A [! now] [I]]) { /// this node can go ans += p[i] * dfs(a[now][i], L - 1); } } return ans; } void scan() { scanf("%d", &n); rep(i, 1, n) { scanf("%s %lf", op, &tmp); int id = get(op[0]); p[id] = tmp; } } void print(int cas) { int L; scanf("%d", &L); printf("Case #%d: ", cas); printf("%.6f\n", dfs(0, L)); } }; Trie AC; char b[25]; int main() { int _; scanf("%d", &_); int cas = 0; while(_--) { AC.init(); int k; scanf("%d", &k); rep(i, 1, k) { scanf("%s", b); AC.join(b); } AC.getFail(); AC.scan(); AC.print(++cas); } return 0; }