/* #region Head */ // #include #include #include #include #include // assert.h #include // math.h #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pll = pair; template using vc = vector; template using vvc = vc>; using vll = vc; using vvll = vvc; using vld = vc; using vvld = vvc; using vs = vc; using vvs = vvc; template using um = unordered_map; template using pq = priority_queue; template using pqa = priority_queue, greater>; template using us = unordered_set; #define TREP(T, i, m, n) for (T i = (m), i##_len = (T)(n); i < i##_len; ++(i)) #define TREPM(T, i, m, n) for (T i = (m), i##_max = (T)(n); i <= i##_max; ++(i)) #define TREPR(T, i, m, n) for (T i = (m), i##_min = (T)(n); i >= i##_min; --(i)) #define TREPD(T, i, m, n, d) \ for (T i = (m), i##_len = (T)(n); i < i##_len; i += (d)) #define TREPMD(T, i, m, n, d) \ for (T i = (m), i##_max = (T)(n); i <= i##_max; i += (d)) #define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i)) #define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i)) #define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i)) #define REPD(i, m, n, d) \ for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d)) #define REPMD(i, m, n, d) \ for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d)) #define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) #define REPIR(itr, ds) for (auto itr = ds.rbegin(); itr != ds.rend(); itr++) #define ALL(x) begin(x), end(x) #define SIZE(x) ((ll)(x).size()) #define ISIZE(x) ((int)(x).size()) #define PERM(c) \ sort(ALL(c)); \ for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c))) #define UNIQ(v) v.erase(unique(ALL(v)), v.end()); #define CEIL(a, b) (((a) + (b)-1) / (b)) #define endl '\n' constexpr ll INF = 1'010'000'000'000'000'017LL; constexpr int IINF = 1'000'000'007LL; constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7 // constexpr ll MOD = 998244353; constexpr ld EPS = 1e-12; constexpr ld PI = 3.14159265358979323846; // 前方宣言 template istream &operator>>(istream &is, vc &vec); template ostream &operator<<(ostream &os, const vc &vec); template ostream &operator>>(ostream &os, const vc &vec); template istream &operator>>(istream &is, array &arr); template ostream &operator<<(ostream &os, const array &arr); template ostream &operator>>(ostream &os, const array &arr); template istream &operator>>(istream &is, pair &pair_var); template ostream &operator<<(ostream &os, const pair &pair_var); template ostream &out_iter(ostream &os, const T &map_var); template ostream &operator<<(ostream &os, const map &map_var); template ostream &operator<<(ostream &os, const um &map_var); template ostream &operator<<(ostream &os, const set &set_var); template ostream &operator<<(ostream &os, const us &set_var); template ostream &operator<<(ostream &os, const pq &pq_var); template ostream &operator<<(ostream &os, const queue &queue_var); template ostream &operator<<(ostream &os, const stack &stk_var); template istream &operator>>(istream &is, vc &vec) { // vector 入力 for (T &x : vec) is >> x; return is; } template ostream &operator<<(ostream &os, const vc &vec) { // vector 出力 (for dump) os << "{"; REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template ostream &operator>>(ostream &os, const vc &vec) { // vector 出力 (inline) REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " "); return os; } template istream &operator>>(istream &is, array &arr) { // array 入力 REP(i, 0, SIZE(arr)) is >> arr[i]; return is; } template ostream &operator<<(ostream &os, const array &arr) { // array 出力 (for dump) os << "{"; REP(i, 0, SIZE(arr)) os << arr[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template istream &operator>>(istream &is, pair &pair_var) { // pair 入力 is >> pair_var.first >> pair_var.second; return is; } template ostream &operator<<(ostream &os, const pair &pair_var) { // pair 出力 os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } // map, um, set, us 出力 template ostream &out_iter(ostream &os, const T &map_var) { os << "{"; REPI(itr, map_var) { os << *itr; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } return os << "}"; } template ostream &operator<<(ostream &os, const map &map_var) { return out_iter(os, map_var); } template ostream &operator<<(ostream &os, const um &map_var) { os << "{"; REPI(itr, map_var) { auto [key, value] = *itr; os << "(" << key << ", " << value << ")"; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } os << "}"; return os; } template ostream &operator<<(ostream &os, const set &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, const us &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, const pq &pq_var) { pq pq_cp(pq_var); os << "{"; if (!pq_cp.empty()) { os << pq_cp.top(), pq_cp.pop(); while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop(); } return os << "}"; } // tuple 出力 template ostream &operator<<(ostream &os, tuple &a) { if constexpr (N < std::tuple_size_v>) { os << get(a); if constexpr (N + 1 < std::tuple_size_v>) { os << ' '; } else if constexpr (end_line) { os << '\n'; } return operator<< (os, a); } return os; } template void print_tuple(tuple &a) { operator<< <0, true>(std::cout, a); } void pprint() { std::cout << endl; } template void pprint(Head &&head, Tail &&...tail) { std::cout << head; if (sizeof...(Tail) > 0) std::cout << ' '; pprint(move(tail)...); } // dump #define DUMPOUT cerr void dump_func() { DUMPOUT << endl; } template void dump_func(Head &&head, Tail &&...tail) { DUMPOUT << head; if (sizeof...(Tail) > 0) DUMPOUT << ", "; dump_func(move(tail)...); } // chmax (更新「される」かもしれない値が前) template > bool chmax(T &xmax, const U &x, Comp comp = {}) { if (comp(xmax, x)) { xmax = x; return true; } return false; } // chmin (更新「される」かもしれない値が前) template > bool chmin(T &xmin, const U &x, Comp comp = {}) { if (comp(x, xmin)) { xmin = x; return true; } return false; } // ローカル用 #ifndef ONLINE_JUDGE #define DEBUG_ #endif #ifndef MYLOCAL #undef DEBUG_ #endif #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" \ << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif #define VAR(type, ...) \ type __VA_ARGS__; \ assert((std::cin >> __VA_ARGS__)); template istream &operator,(istream &is, T &rhs) { return is >> rhs; } template ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; } struct AtCoderInitialize { static constexpr int IOS_PREC = 15; static constexpr bool AUTOFLUSH = false; AtCoderInitialize() { ios_base::sync_with_stdio(false), std::cin.tie(nullptr), std::cout.tie(nullptr); std::cout << fixed << setprecision(IOS_PREC); if (AUTOFLUSH) std::cout << unitbuf; } } ATCODER_INITIALIZE; void Yn(bool p) { std::cout << (p ? "Yes" : "No") << endl; } void YN(bool p) { std::cout << (p ? "YES" : "NO") << endl; } template constexpr void operator--(vc &v, int) noexcept { for (int i = 0; i < ISIZE(v); ++i) v[i]--; } template constexpr void operator++(vc &v, int) noexcept { for (int i = 0; i < ISIZE(v); ++i) v[i]++; } /* #endregion */ // #include // using namespace atcoder; /* #region dynamic_rolling_hash */ inline int msb(int n) { return n != 0 ? (31 - __builtin_clz(n)) : -1; } inline int msb(ll n) { return n != 0 ? (63 - __builtin_clzll(n)) : -1; } // 【フェニック木(アーベル群)】 /* * fenwick_tree(int n) : O(n) * a[0..n) = o() で初期化する.要素はアーベル群 (S, op, o, inv) *の元とする. * * fenwick_tree(vS a) : O(n) * 配列 a[0..n) で初期化する. * * set(int i, S x) : O(log n) * a[i] = x とする. * * S get(int i) : O(log n) * a[i] を返す. * * S sum(int l, int r) : O(log n) * Σa[l..r) を返す.空なら o() を返す. * * add(int i, S x) : O(log n) * a[i] += x とする. * * int max_right(function& f) : O(log n) * f( Σa[0..r) ) = true となる最大の r を返す. * 制約:f( o() ) = true,f は単調 */ template class fenwick_tree { // 参考:https://algo-logic.info/binary-indexed-tree/ // ノードの個数(要素数 + 1) int n; // v[i] : Σa[*..i] の値(i:1-indexed,v[0] は不使用) vector v; // Σa[1..r] を返す.空なら o() を返す.(r:1-indexed) S sum_sub(int r) const { S res = o(); // 根に向かって累積 op() をとっていく. while (r > 0) { res = op(res, v[r]); // r の最下位ビットから 1 を減算することで次の位置を得る. r -= r & -r; } return res; } public: // a[0..n) = o() で初期化する. fenwick_tree(int n_) : n(n_ + 1), v(n, o()) {} // 配列 a[0..n) で初期化する. fenwick_tree(const vector &a) : n(ISIZE(a) + 1), v(n) { // verify : https://judge.yosupo.jp/problem/point_add_range_sum // 配列の値を仮登録する. REP(i, 0, n - 1) v[i + 1] = a[i]; // 正しい値になるよう根に向かって累積 op() をとっていく. for (int pow2 = 1; 2 * pow2 < n; pow2 *= 2) { for (int i = 2 * pow2; i < n; i += 2 * pow2) { v[i] = op(v[i], v[i - pow2]); } } } fenwick_tree() : n(0) {} // a[i] = x とする.(i : 0-indexed) void set(int i, S x) { // 差分を求める. S d = op(x, inv(get(i))); add(i, d); } // a[i] を返す.(i : 0-indexed) S get(int i) const { return sum(i, i + 1); } // Σa[l..r) を返す.空なら o() を返す.(l, r : 0-indexed) S sum(int l, int r) const { // verify : https://judge.yosupo.jp/problem/point_add_range_sum if (l >= r) return o(); // 0-indexed での半開区間 [l, r) は, // 1-indexed での閉区間 [l + 1, r] に対応する. // よって閉区間 [1, r] の総和から閉区間 [1, l] の総和を引けば良い. return op(sum_sub(r), inv(sum_sub(l))); } // a[i] += x とする.(i : 0-indexed) void add(int i, S x) { // verify : https://judge.yosupo.jp/problem/point_add_range_sum // i を 1-indexed に直す. i++; // 根に向かって値を op() していく. while (i < n) { v[i] = op(v[i], x); // i の最下位ビットに 1 を加算することで次の位置を得る. i += i & -i; } } // f( Σa[0..r) ) = true となる最大の r を返す.(r : 0-indexed) int max_right(const function &f) const { // verify : https://www.spoj.com/problems/ALLIN1/ S x = o(); // 注目している閉区間は [l+1, r] で幅は len int l = 0; for (int len = 1 << msb(n - 1); len > 0; len = len >> 1) { int r = l + len; if (r < n && f(op(x, v[r]))) { x = op(x, v[r]); l = r; } } return l; } #ifdef _MSC_VER friend ostream &operator<<(ostream &os, const fenwick_tree &ft) { rep(i, ft.n - 1) { os << ft.get(i) << " "; } return os; } #endif }; // 【動的ローリングハッシュ(列)】 /* * Rolling_hash(STR s) : O(n) * 列 s[0..n) で初期化する. * 制約:STR は string,vector など.ll 範囲の負数は扱えない. * * ull get(int l, int r) : O(log n) * 部分文字列 s[l..r) のハッシュ値を返す(空なら 0) * * void set(int i, ull x) : O(log n) * s[i] = x とする. * * 利用:【フェニック木(アーベル群)】 */ constexpr ull opdrh(ull x, ull y) { ull a = x + y, ah = a >> 61, al = a & ((1ULL << 61) - 1), res = ah + al; if (res >= ((1ULL << 61) - 1)) res -= ((1ULL << 61) - 1); return res; } constexpr ull odrh() { return 0ULL; } constexpr ull invdrh(ull a) { return ((1ULL << 61) - 1) ^ a; } template class dynamic_rolling_hash { // 参考 : https://qiita.com/keymoon/items/11fac5627672a6d6a9f6 static constexpr ull MASK30 = (1ULL << 30) - 1; static constexpr ull MASK31 = (1ULL << 31) - 1; static constexpr ull MOD = (1ULL << 61) - 1; // 法(素数) // a mod (2^61 - 1) を返す. inline ull get_mod(ull a) const { ull ah = a >> 61, al = a & MOD; ull res = ah + al; if (res >= MOD) res -= MOD; return res; } // x ≡ a b mod (2^61 - 1) なる x < 2^63 を返す(ただし a, b < 2^61) inline ull mul(ull a, ull b) const { ull ah = a >> 31, al = a & MASK31; ull bh = b >> 31, bl = b & MASK31; ull c = ah * bl + bh * al; ull ch = c >> 30, cl = c & MASK30; ull term1 = 2 * ah * bh; ull term2 = ch + (cl << 31); ull term3 = al * bl; return term1 + term2 + term3; // < 2^63 } static constexpr ull BASE = 1234567891011; // 適当な基数 static constexpr ull BASE_INV = 212042116942762790ULL; static constexpr ull SHIFT = 4295090752; // 適当なシフト // 列の長さ int n; // powB[i] : BASE^i vector powB, powB_inv; // v[i] : (s[i] + SHIFT) BASE^(-i) fenwick_tree v; public: // 列 s[0..n) で初期化する. dynamic_rolling_hash(const STR &s) : n(ISIZE(s)), powB(n + 1), powB_inv(n + 1) { // verify : // https://mojacoder.app/users/Tonegawac/problems/dynamic_string_point_set powB[0] = powB_inv[0] = 1; REP(i, 0, n) { powB[i + 1] = get_mod(mul(powB[i], BASE)); powB_inv[i + 1] = get_mod(mul(powB_inv[i], BASE_INV)); } vector ini(n); REP(i, 0, n) ini[i] = get_mod(mul((ull)s[i] + SHIFT, powB_inv[i])); v = fenwick_tree(ini); } dynamic_rolling_hash() : n(0) {} // s[l..r) のハッシュ値の取得 ull get(int l, int r) const { // verify : // https://mojacoder.app/users/Tonegawac/problems/dynamic_string_point_set chmax(l, 0); chmin(r, n); if (l >= r) return 0; return get_mod(mul(v.sum(l, r), powB[r - 1])); } // s[i] = x とする. void set(int i, ull x) { // verify : // https://mojacoder.app/users/Tonegawac/problems/dynamic_string_point_set assert(0 <= i && i < n); v.set(i, get_mod(mul(x + SHIFT, powB_inv[i]))); } }; /* #endregion */ // Problem void solve() { VAR(ll, n, l, q); vs s(n); cin >> s; vc> drhs(n); REP(i, 0, n) { drhs[i] = dynamic_rolling_hash(s[i]); // } REP(qi, 0, q) { VAR(ll, type); if (type == 1) { VAR(ll, k); VAR(char, c, d); --k; REP(i, 0, n) { if (s[i][k] == c) { drhs[i].set(k, d); s[i][k] = d; } } } else { VAR(string, t); dynamic_rolling_hash drh(t); const ull needle = drh.get(0, SIZE(t)); ll ans = 0; REP(i, 0, n) { const ull result = drhs[i].get(0, SIZE(t)); if (result == needle) { ++ans; } } pprint(ans); } } } // entry point int main() { solve(); return 0; }