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2.13 kB
| using namespace std; | |
| const int ALPHA_SIZE = 26; | |
| struct node { | |
| int count; | |
| vector<node *> child; | |
| node(int _count = 0) : count(_count), child(ALPHA_SIZE, nullptr) {} | |
| void merge(node *n) { | |
| count++; | |
| for (int i = 0; i < ALPHA_SIZE; i++) { | |
| if (n->child[i] != nullptr) { | |
| if (child[i] == nullptr) { | |
| child[i] = new node(); | |
| } | |
| child[i]->merge(n->child[i]); | |
| } | |
| } | |
| } | |
| }; | |
| class trie { | |
| node *root; | |
| template <typename Func> | |
| static void walk(node *n, Func f) { | |
| f(n->count); | |
| for (int i = 0; i < ALPHA_SIZE; i++) { | |
| if (n->child[i] != nullptr) { | |
| walk(n->child[i], f); | |
| } | |
| } | |
| } | |
| static void clean_up(node *n) { | |
| for (int i = 0; i < ALPHA_SIZE; i++) { | |
| if (n->child[i] != nullptr) { | |
| clean_up(n->child[i]); | |
| } | |
| } | |
| delete n; | |
| } | |
| public: | |
| trie() : root(new node()) {} | |
| ~trie() { clean_up(root); } | |
| void merge(node *n) { root->merge(n); } | |
| template <typename Func> | |
| void walk(Func f) const { | |
| walk(root, f); | |
| } | |
| }; | |
| long long solve() { | |
| int N, p; | |
| char c; | |
| cin >> N; | |
| vector<vector<node>> tries(N); | |
| for (int i = 0, M; i < N; i++) { | |
| cin >> M; | |
| auto &T = tries[i]; | |
| T.resize(M); | |
| for (int j = 1; j < M; j++) { | |
| cin >> p >> c; | |
| T[--p].child[c - 'a'] = &T[j]; | |
| } | |
| } | |
| trie merged; | |
| for (auto &T : tries) { | |
| merged.merge(&T[0]); | |
| } | |
| auto n_choose_3 = [](long long n) { | |
| return n < 3 ? 0 : n * (n - 1) * (n - 2) / 6; | |
| }; | |
| long long ans = 0; | |
| merged.walk([&](int k) { | |
| // This node is in k tries. For how many out of all N choose 3 possible | |
| // triples (T1, T2, T3) of tries is this node in at least one of the tries? | |
| // The answer is N choose 3 minus the number of triples that doesn't have | |
| // this node in any of the three tries, equal to (N - k) choose 3. | |
| ans += n_choose_3(N) - n_choose_3(N - k); | |
| }); | |
| return ans; | |
| } | |
| int main() { | |
| ios_base::sync_with_stdio(false); | |
| cin.tie(nullptr); | |
| int T; | |
| cin >> T; | |
| for (int t = 1; t <= T; t++) { | |
| cout << "Case #" << t << ": " << solve() << endl; | |
| } | |
| return 0; | |
| } | |