#786968 (C++17) No.2020 Sum of Common Prefix Length

• 問題: No.2020 Sum of Common Prefix Length
• ユーザー: haruki_K
• 提出日時: 2022-08-11 08:06:46
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 243 ms / 2,000 ms
• コード長: 22,686 bytes
• コンパイル時間: 3,047 ms
• コンパイル使用メモリ: 238,860 KB
• 実行使用メモリ: 120,448 KB
• 最終ジャッジ日時: 2024-09-21 16:22:15
• 合計ジャッジ時間: 10,303 ms
• ジャッジサーバーID （参考情報）: judge5 / judge3

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	1 ms; 5,248 KB
testcase_01	AC	2 ms; 5,376 KB
testcase_02	AC	2 ms; 5,376 KB
testcase_03	AC	3 ms; 5,376 KB
testcase_04	AC	3 ms; 5,376 KB
testcase_05	AC	2 ms; 5,376 KB
testcase_06	AC	3 ms; 5,376 KB
testcase_07	AC	54 ms; 10,392 KB
testcase_08	AC	53 ms; 10,388 KB
testcase_09	AC	54 ms; 10,388 KB
testcase_10	AC	56 ms; 10,516 KB
testcase_11	AC	56 ms; 10,516 KB
testcase_12	AC	54 ms; 10,520 KB
testcase_13	AC	52 ms; 10,516 KB
testcase_14	AC	54 ms; 10,516 KB
testcase_15	AC	61 ms; 15,832 KB
testcase_16	AC	60 ms; 15,704 KB
testcase_17	AC	139 ms; 48,532 KB
testcase_18	AC	117 ms; 38,120 KB
testcase_19	AC	120 ms; 39,060 KB
testcase_20	AC	222 ms; 117,884 KB
testcase_21	AC	239 ms; 118,012 KB
testcase_22	AC	214 ms; 89,104 KB
testcase_23	AC	210 ms; 87,808 KB
testcase_24	AC	243 ms; 118,140 KB
testcase_25	AC	239 ms; 118,032 KB
testcase_26	AC	140 ms; 74,492 KB
testcase_27	AC	2 ms; 5,376 KB
testcase_28	AC	58 ms; 12,516 KB
testcase_29	AC	58 ms; 12,556 KB
testcase_30	AC	56 ms; 12,292 KB
testcase_31	AC	208 ms; 117,932 KB
testcase_32	AC	214 ms; 120,448 KB
testcase_33	AC	161 ms; 73,620 KB
testcase_34	AC	86 ms; 32,112 KB
testcase_35	AC	90 ms; 31,980 KB
testcase_36	AC	154 ms; 70,512 KB
testcase_37	AC	107 ms; 46,316 KB

ソースコード

// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
#define int ll
using pii = pair<int, int>;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i, n) for (int i = (int)(n); i >= 1; i--)
#define loop(i, a, B) for (int i = a; i B; i++)
#define loopR(i, a, B) for (int i = a; i B; i--)
#define all(x) begin(x), end(x)
#define allR(x) rbegin(x), rend(x)
#define pb push_back
#define eb emplace_back
#define fst first
#define snd second
template <class Int> auto constexpr inf_ = numeric_limits<Int>::max()/2-1;
auto constexpr INF32 = inf_<int32_t>;
auto constexpr INF64 = inf_<int64_t>;
auto constexpr INF   = inf_<int>;
#ifdef LOCAL
#include "debug.hpp"
#define oj_local(x, y) (y)
#else
#define dump(...) (void)(0)
#define debug if (0)
#define oj_local(x, y) (x)
#endif
template <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> { vector<T> &data() { return this->c; } void clear() { this->c.clear(); } };
template <class T> using pque_max = pque<T, less<T>>;
template <class T> using pque_min = pque<T, greater<T>>;
template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0>
ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0>
ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; }
template <class T, class S> ostream& operator<<(ostream& os, pair<T, S> const& p) { return os << p.first << " " << p.second; }
template <class T, class S> istream& operator>>(istream& is, pair<T, S>& p) { return is >> p.first >> p.second; }
template <class... T> ostream& operator<<(ostream& os, tuple<T...> const& t)
{ bool f = true; apply([&](auto&&... x) { ((os << (f ? f = false, "" : " ") << x), ...); }, t); return os; }
template <class... T> istream& operator>>(istream& is, tuple<T...>& t) { apply([&](auto&&... x) { ((is >> x), ...); }, t); return is; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
    constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
    template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint { template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); } };
#define def(name, ...) auto name = MakeFixPoint() | [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
    using type = vector<typename vec_impl<T, d-1>::type>;
    template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T, d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T, 0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T, d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T, d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << '\n'; exit(0); }
template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > (T)y) { x = (T)y; return true; } return false; }
template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits<It>::value_type{}); }
template <class T, class = decltype(begin(declval<T&>()))> constexpr auto min(T const& a) { return *min_element(begin(a), end(a)); }
template <class T, class = decltype(begin(declval<T&>()))> constexpr auto max(T const& a) { return *max_element(begin(a), end(a)); }
template <class T> constexpr T min(set<T> const& st) { assert(st.size()); return *st.begin(); }
template <class T> constexpr T max(set<T> const& st) { assert(st.size()); return *prev(st.end()); }
template <class T> constexpr T min(multiset<T> const& st) { assert(st.size()); return *st.begin(); }
template <class T> constexpr T max(multiset<T> const& st) { assert(st.size()); return *prev(st.end()); }
constexpr ll max(signed x, ll y) { return max<ll>(x, y); }
constexpr ll max(ll x, signed y) { return max<ll>(x, y); }
constexpr ll min(signed x, ll y) { return min<ll>(x, y); }
constexpr ll min(ll x, signed y) { return min<ll>(x, y); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); }
template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); }
constexpr ll mod(ll x, ll m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; }
constexpr ll div_floor(ll x, ll y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); }
constexpr ll div_ceil(ll x, ll y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); }
constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 };
constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 };
auto four_nbd(int n, int m) {
    static vector<pair<int, int>> v;
    return [n, m](int i, int j) {
        const int dx[] = { 1, 0, -1, 0 }, dy[] = { 0, 1, 0, -1 };
        v.clear();
        rep (dir, 4) {
            int ni = i+dx[dir], nj = j+dy[dir];
            if (0 <= ni and ni < n and 0 <= nj and nj < m) {
                v.emplace_back(ni, nj);
            }
        }
        return v;
    };
};
template <class Comp> vector<int> iota(int n, Comp comp) {
    vector<int> idx(n);
    iota(begin(idx), end(idx), 0);
    stable_sort(begin(idx), end(idx), comp);
    return idx;
}
constexpr int popcnt(ll x) { return __builtin_popcountll(x); }
mt19937_64 seed_{random_device{}()};
template <class Int> Int rand(Int a, Int b) { return uniform_int_distribution<Int>(a, b)(seed_); }
i64 irand(i64 a, i64 b) { return rand<i64>(a, b); } // [a, b]
u64 urand(u64 a, u64 b) { return rand<u64>(a, b); } //
template <class It> void shuffle(It l, It r) { shuffle(l, r, seed_); }
template <class V> V &operator--(V &v) { for (auto &x : v) --x; return v; }
template <class V> V &operator++(V &v) { for (auto &x : v) ++x; return v; }
bool next_product(vector<int> &v, int m) {
    repR (i, v.size()) if (++v[i] < m) return true; else v[i] = 0;
    return false;
}
bool next_product(vector<int> &v, vector<int> const& s) {
    repR (i, v.size()) if (++v[i] < s[i]) return true; else v[i] = 0;
    return false;
}
template <class vec> int sort_unique(vec &v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
    return v.size();
}
template <class It> auto prefix_sum(It l, It r) {
    vector<typename It::value_type> s = { 0 };
    while (l != r) s.emplace_back(s.back() + *l++);
    return s;
}
template <class It> auto suffix_sum(It l, It r) {
    vector<typename It::value_type> s = { 0 };
    while (l != r) s.emplace_back(*--r + s.back());
    reverse(s.begin(), s.end());
    return s;
}
template <class T> T pop(vector<T> &a) { auto x = a.back(); a.pop_back(); return x; }
template <class T> T pop_back(vector<T> &a) { auto x = a.back(); a.pop_back(); return x; }
template <class T, class V, class C> T pop(priority_queue<T, V, C> &a) { auto x = a.top(); a.pop(); return x; }
template <class T> T pop(queue<T> &a) { auto x = a.front(); a.pop(); return x; }
template <class T> T pop_front(deque<T> &a) { auto x = a.front(); a.pop_front(); return x; }
template <class T> T pop_back(deque<T> &a) { auto x = a.back(); a.pop_back(); return x; }
template <class T> T pop_front(set<T> &a) { auto x = *a.begin(); a.erase(a.begin()); return x; }
template <class T> T pop_back(set<T> &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; }
template <class T> T pop_front(multiset<T> &a) { auto it = a.begin(); auto x = *it; a.erase(it); return x; }
template <class T> T pop_back(multiset<T> &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; }
// <<<
// >>> HLD
#ifndef EDGE_INFO
#define EDGE_INFO
constexpr int dest(int v) { return v; }
template <class E, class = decltype(declval<E>().to)>
constexpr int dest(E const& e) { return e.to; }
constexpr int cost(...) { return 1; }
template <class E, class = decltype(declval<E>().cost)>
constexpr auto cost(E const& e) { return e.cost; }
template <class E> using cost_t = decltype(cost(declval<E>()));
#endif
template <class edge> struct HLD {
    int n, m = 0, root;
    vector<pair<int32_t, edge>> es;
    vector<edge> csr;
    vector<int32_t> csr_index, id, inv, head, sz, par, dep;
    bool built = false;
    HLD() : n(0), root(-1) {};
    HLD(int n, int root = 0) : n(n), root(root), csr(2*(n-1)), csr_index(n+1), id(n), inv(n), head(n), sz(n), par(n), dep(n) {
        assert(0 <= root); assert(root < n);
        if (n == 1) build();
    }
    int size() const { return n; }

    template <class It> struct edge_list {
        It b, e;
        It begin() const { return b; }
        It end() const { return e; }
        int size() const { return e-b; }
        edge& operator[](int i) const { return *(b + i); }
    };
    auto operator[](int x) {
        assert(built);
        assert(0 <= x); assert(x < n);
        auto b = csr.begin() + csr_index[x];
        auto e = csr.begin() + csr_index[x+1] - (x != root);
        return edge_list { b, e };
    }
    auto operator[](int x) const {
        assert(built);
        assert(0 <= x); assert(x < n);
        auto b = csr.begin() + csr_index[x];
        auto e = csr.begin() + csr_index[x+1] - (x != root);
        return edge_list { b, e };
    }
    template <class... Args> void add_edge(int x, int y, Args&&... args) {
        assert(not built);
        es.emplace_back(x, edge { y, args... });
        es.emplace_back(y, edge { x, args... });
        if (++m == n-1) build();
    }
    void build() {
        assert(m == n-1);
        for (auto const& [x, e] : es) csr_index[x+1]++;
        rep (x, n) csr_index[x+1] += csr_index[x];
        auto pos = csr_index;
        for (auto const& [x, e] : es) csr[pos[x]++] = e;

        fill(sz.begin(), sz.end(), 0);
        dep[root] = 0, par[root] = -1, head[root] = root;
        int time = 0;
        dfs1(root), dfs2(root, time);
        rep (x, n) inv[id[x]] = x;
        built = true;
    }
    int lca(int x, int y) const {
        assert(built);
        while (true) {
            if (id[x] > id[y]) swap(x, y);
            if (head[x] == head[y]) return x;
            y = par[head[y]];
        }
    }
    int dist(int x, int y) const {
        assert(built);
        return dep[x] + dep[y] - 2*dep[lca(x, y)];
    }
    int eid(int i) const {
        assert(built);
        auto const& [x, e] = es[i];
        auto y = dest(e);
        return x == par[y] ? id[y] : id[x];
    }
    int eid(int x, int y) const {
        assert(built);
        if (x == par[y]) return id[y];
        if (y == par[x]) return id[x];
        assert(false);
        return -1;
    }
    int vid(int x) const { assert(built); return id[x]; }
    int in(int x) const { assert(built); return id[x]; }
    int out(int x) const { assert(built); return id[x] + sz[x]; }
    pair<int, int> subtree(int x) const { return { in(x), out(x) }; }
    pair<int, int> cut_size(int x, int y) const {
        assert(built);
        if (x == par[y]) return { n-sz[y], sz[y] };
        if (y == par[x]) return { sz[x], n-sz[y] };
        assert(false);
        return { -1, -1 };
    }
    int meet(int x, int y, int z) const {
        return lca(x, y) ^ lca(y, z) ^ lca(z, x);
    }
    bool is_ancestor(int x, int y) const { // excluding x == y
        return in(x) < in(y) and out(y) <= out(x);
    }
    int step(int x, int y) const { // move one step from x toward y
        assert(built);
        assert(x != y);
        if (not is_ancestor(x, y)) return par[x];
        while (true) {
            if (head[x] == head[y]) return dest(csr[csr_index[x]]);
            y = head[y];
            if (x == par[y]) return y;
            y = par[y];
        }
    }
    int climb(int x, int d) const {
        assert(built);
        assert(0 <= d); assert(d <= dep[x]);
        auto const dep_y = dep[x] - d;
        while (true) {
            x = head[x];
            if (dep[x] <= dep_y) return inv[id[x] + dep_y - dep[x]];
            x = par[x];
        }
    }
    // jump from x toward y by distance d
    int jump(int x, int y, int d) const {
        assert(built);
        auto const z = lca(x, y);
        auto const dist = dep[x] + dep[y] - 2*dep[z];
        return d <= dep[x] - dep[z] ? climb(x, d) : climb(y, dist-d);
    }

    // path [x, y] = xpath + lca + ypath
    // xpath : upward, ypath : downward
    // sets xpath, ypath and returns id[lca]
    int decompose(int x, int y, vector<pair<int, int>> &xpath, vector<pair<int, int>> &ypath) const {
        assert(built);
        xpath.clear();
        ypath.clear();
        while (true) {
            if (head[x] == head[y]) {
                if (id[x] > id[y]) xpath.emplace_back(id[y] + 1, id[x] + 1);
                if (id[x] < id[y]) ypath.emplace_back(id[x] + 1, id[y] + 1);
                reverse(ypath.begin(), ypath.end());
                return min(id[x], id[y]);
            } else if (id[x] > id[y]) {
                xpath.emplace_back(id[head[x]], id[x] + 1);
                x = par[head[x]];
            } else {
                ypath.emplace_back(id[head[y]], id[y] + 1);
                y = par[head[y]];
            }
        }
    }

    template <bool with_lca>
    vector<pair<int, int>> const& path(int x, int y) const {
        assert(built);
        static vector<pair<int, int>> ret;
        ret.clear();
        while (true) {
            if (id[x] > id[y]) swap(x, y);
            if (head[x] == head[y]) {
                int l = id[x] + (with_lca ? 0 : 1), r = id[y] + 1;
                if (l < r) ret.emplace_back(l, r);
                return ret;
            } else {
                ret.emplace_back(id[head[y]], id[y] + 1);
                y = par[head[y]];
            }
        }
    }
    auto const& vertices(int x, int y) const { return path<true>(x, y); }
    auto const& edges(int x, int y) const { return path<false>(x, y); }

    int dfs1(int x) {
        const int l = csr_index[x], r = csr_index[x+1] - (x != root);
        int ma_pos = l, ma = -1;
        sz[x] = 1;
        for (int i = l; i < r; ++i) {
            auto &e = csr[i];
            if (dest(e) == par[x]) swap(e, csr[r]);
            par[dest(e)] = x;
            dep[dest(e)] = dep[x] + 1;
            int sub = dfs1(dest(e));
            sz[x] += sub;
            if (ma < sub) ma = sub, ma_pos = i;
        }
        swap(csr[l], csr[ma_pos]);
        return sz[x];
    }
    void dfs2(int x, int &time) {
        id[x] = time++;
        const int l = csr_index[x], r = csr_index[x+1] - (x != root);
        for (int i = l; i < r; ++i) {
            const int y = dest(csr[i]);
            head[y] = (i == l ? head[x] : y);
            dfs2(y, time);
        }
    }
};
// <<<
// >>> segment tree

template <class Handler> struct Segtree : Handler {
    using Value = typename Handler::Value;
    using Handler::unit_value;  // () -> Value
    using Handler::merge; // (Value, Value) -> Value

    vector<Value> v;
    int n;

    Segtree() {}
    template <class... T> Segtree(T&&... x) { init(forward<T>(x)...); }

    template <class F, class = decltype(declval<F>()(0))>
    void init(int n, F gen)  {
        assert(n >= 0);
        this->n = n;
        v.resize(2*n, unit_value());
        for (int i = 0; i < n; i++) v[n+i] = gen(i);
        for (int i = n-1; i >= 1; i--) v[i] = merge(v[i<<1], v[i<<1|1]);
    }
    void init(int n) { init(n, [&](int) { return unit_value(); }); }
    void init(int n, Value const& x) { init(n, [&](int) { return x; }); }
    void init(vector<Value> const& v) { init(v.size(), [&](int i) { return v[i]; }); }
    int size() const { return n; }

    void set(int i, Value const& x) {
        assert(0 <= i); assert(i < size());
        i += n; v[i] = x;
        while (i >>= 1) v[i] = merge(v[i<<1], v[i<<1|1]);
    }
    Value operator[](int i) const { return get(i); }
    Value get(int i) const {
        assert(0 <= i); assert(i < size());
        return v[n + i];
    }
    // [l, r)
    Value get(int l, int r) const {
        assert(0 <= l); assert(l <= r); assert(r <= size());
        Value x = unit_value(), y = unit_value();
        for (l += n, r += n; l < r; l >>= 1, r >>= 1) {
            if (l&1) x = merge(x, v[l++]);
            if (r&1) y = merge(v[--r], y);
        }
        return merge(x, y);
    }
    Value get_all() const { return get(0, size()); }
    template <class F> int max_right(int l, F f) {
        assert(0 <= l); assert(l <= size());
        assert(f(unit_value()));
        l += n;
        const int r = size() << 1;
        Value x = unit_value();
        while (true) {
            if (l == r) return size();
            int k = __builtin_ctz(l | 1 << __lg(r - l));
            auto y = merge(x, v[l >> k]);
            if (not f(y)) { l >>= k; break; }
            x = y, l += 1 << k;
        }
        while (l < size()) {
            auto y = merge(x, v[l <<= 1]);
            if (f(y)) x = y, l++;
        }
        return l - size();
    }
    template <class F> int min_left(int r, F f) {
        assert(0 <= r); assert(r <= size());
        assert(f(unit_value()));
        r += n;
        const int l = size();
        Value x = unit_value();
        while (true) {
            if (l == r) return 0;
            int k = __builtin_ctz(r | 1 << __lg(r - l));
            auto y = merge(v[(r >> k) - 1], x);
            if (not f(y)) { r >>= k; --r; break; }
            x = y, r -= 1 << k;
        }
        while (r < size()) {
            r = r << 1 | 1;
            auto y = merge(v[r], x);
            if (f(y)) x = y, r--;
        }
        return r + 1 - size();
    }
    vector<Value> dat() const {
        vector<Value> ret(size());
        for (int i = 0; i < size(); i++) ret[i] = get(i);
        return ret;
    }
};

// <<<

template <class T> struct Sum {
    using Value = T;
    static constexpr bool commutative = true;
    constexpr static Value unit_value() { return 0; }
    constexpr static Value merge(Value const& x, Value const& y) {
        return x + y;
    }
};

// >>> HLDSegtree
template <class Edge, class Mono, bool vertex_query> struct HLDSegtree {
    HLD<Edge> const *pg;
    Segtree<Mono> seg, rseg;
    using Value = typename Mono::Value;
    static constexpr bool com = Mono::commutative;

    HLDSegtree(HLD<Edge> const& g) : pg(&g), seg(g.size()) {
        if constexpr (com) rseg.init(g.size());
    }
    HLDSegtree(HLD<Edge> const& g, vector<Value> const& init) : pg(&g) {
        const int n = g.size();
        vector<Value> init_id(n);
        assert((int)init.size() == (vertex_query ? n : n-1));
        rep (i, init.size()) init_id[id(i)] = init[i];
        seg.init(init_id);
        if constexpr (not com) {
            reverse(init_id.begin(), init_id.end());
            rseg.init(init_id);
        }
    }
    int id(int i) const {
        if constexpr (vertex_query) {
            return pg->vid(i);
        } else {
            return pg->eid(i);
        }
    }
    int size() const { return pg->size(); }
    Value get(int i) const { return seg.get(id(i)); }
    Value operator[](int i) const { return seg.get(id(i)); }
    Value get_all() const { seg.get_all(); }
    void set(int i, Value const& v) {
        seg.set(id(i), v);
        if constexpr (not com) rseg.set(rseg.size()-1-id(i), v);
    }

    Value get(int x, int y) const {
        static vector<pair<int, int>> xpath, ypath;
        int lca_id = pg->decompose(x, y, xpath, ypath);
        Value val = Mono::unit_value();
        for (auto [l, r] : xpath) {
            if constexpr (com) {
                val = Mono::merge(val, seg.get(l, r));
            } else {
                const int n = pg->size();
                val = Mono::merge(val, rseg.get(n-r, n-l));
            }
        }
        if constexpr (vertex_query) {
            val = Mono::merge(val, seg[lca_id]);
        }
        for (auto [l, r] : ypath) {
            val = Mono::merge(val, seg.get(l, r));
        }
        return val;
    }

    vector<Value> dat() const {
        vector<Value> v = seg.dat(), ret(v.size());
        rep (i, v.size()) ret[i] = v[id(i)];
        return ret;
    }
};
template <class Edge, class Mono> using HLDSegtreeV = HLDSegtree<Edge, Mono, true>;
template <class Edge, class Mono> using HLDSegtreeE = HLDSegtree<Edge, Mono, false>;
// <<<

int32_t main() {
    int n; cin >> n;
    vector<string> s(n); cin >> s;
    int q; cin >> q;
    vector<tuple<int, int, char>> qs;
    rep (i, q) {
        int t; cin >> t;
        if (t == 1) {
            int i; cin >> i; --i;
            char c; cin >> c;
            qs.eb(t, i, c);
        } else {
            int i; cin >> i; --i;
            qs.eb(t, i, 0);
        }
    }

    struct node {
        array<int, 26> ch;
        node() { fill(all(ch), -1); }
    };
    vector<node> ns = { node() };

    vector<int> pos(n, 0);
    auto add = [&](int i, char c) {
        c -= 'a';
        int x = pos[i];
        if (ns[x].ch[c] < 0) {
            ns[x].ch[c] = ns.size();
            ns.eb();
        }
        pos[i] = ns[x].ch[c];
    };

    rep (i, n) {
        for (char c : s[i]) {
            add(i, c);
        }
    }
    for (auto [t, i, c] : qs) {
        if (t == 1) add(i, c);
    }

    HLD<int> g(ns.size());
    rep (x, g.size()) {
        for (int y : ns[x].ch) {
            if (y >= 0) g.add_edge(x, y);
        }
    }

    HLDSegtreeV<int, Sum<int>> seg(g);
    fill(all(pos), 0);

    auto add2 = [&](int i, char c) {
        c -= 'a';
        int x = pos[i];
        x = ns[x].ch[c];
        pos[i] = x;
        seg.set(x, seg[x] + 1);
    };
    rep (i, n) {
        for (char c : s[i]) {
            add2(i, c);
        }
    }

    for (auto [t, i, c] : qs) {
        if (t == 1) {
            add2(i, c);
        } else {
            cout << seg.get(0, pos[i]) << '\n';
        }
    }


}