#include #include #include // using std::cin; // using std::cout; std::ifstream cin("prefix.in"); std::ofstream cout("prefix.out"); const char endl = '\n'; const int N = 2.1e6 + 5; const int mod = 1e9 + 7; int n, k, fac[N], inv[N], fac_inv[N]; class Trie { private: struct node { int cnt; bool is_end; node *next[26]; node() : cnt(0), is_end(false) { std::fill_n(next, 26, nullptr); } ~node() { for (int i = 0; i < 26; i++) { if (next[i]) { delete next[i]; } } } }; node *root; public: Trie() : root(new node()) {} ~Trie() { delete root; } void insert(const std::string &s) { node *cur = root; for (auto c : s) { if (cur->next[c - 'a'] == nullptr) { cur->next[c - 'a'] = new node(); } cur = cur->next[c - 'a']; cur->cnt++; } cur->is_end = true; } int query(const std::string &s) { node *cur = root; for (auto c : s) { if (cur->next[c - 'a'] == nullptr) { return 0; } cur = cur->next[c - 'a']; } return cur->is_end ? cur->cnt : 0; } int rank(const std::string &s) { node *cur = root; int res = 0; for (auto c : s) { for (int i = 0; i < c - 'a'; i++) { if (cur->next[i] != nullptr) { res += cur->next[i]->cnt; } } if (cur->next[c - 'a'] == nullptr) { return 0; } cur = cur->next[c - 'a']; } return res + 1; } void remove(const std::string &s) { node *cur = root; for (auto c : s) { cur = cur->next[c - 'a']; cur->cnt--; } } } trie; int A(int n, int m) { return static_cast(fac[n]) * fac_inv[n - m] % mod; } int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); cin >> n >> k; fac[0] = 1; for (int i = 1; i < N; i++) { fac[i] = static_cast(fac[i - 1]) * i % mod; } inv[0] = inv[1] = 1; for (int i = 2; i < N; i++) { inv[i] = static_cast(mod - (mod / i)) * inv[mod % i] % mod; } fac_inv[0] = fac_inv[1] = 1; for (int i = 2; i < N; i++) { fac_inv[i] = static_cast(fac_inv[i - 1]) * inv[i] % mod; } for (int i = 0; i < n; i++) { std::string s; cin >> s; trie.insert(s); } int p = 1; long long ans = 0; std::string s, t; cin >> s; for (char c : s) { t.push_back(c); if (trie.query(t)) { ans = (ans + static_cast(trie.rank(t) - 1) * A(n - p, k - p)) % mod; trie.remove(t); t.clear(); p++; } } cout << (ans + 1) % mod << endl; return 0; }