#780631 (C++17) No.2020 Sum of Common Prefix Length

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問題	No.2020 Sum of Common Prefix Length
コンテスト
ユーザー	Forested
提出日時	2022-07-22 22:30:08
言語	C++17 (gcc 13.3.0 + boost 1.87.0)
結果	AC
実行時間	263 ms / 2,000 ms
コード長	14,832 bytes
コンパイル時間	2,471 ms
コンパイル使用メモリ	147,924 KB
最終ジャッジ日時	2025-01-30 12:37:59
ジャッジサーバーID （参考情報）	judge4 / judge2
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ファイルパターン	結果
other	AC * 38
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ソースコード

raw source code
#ifndef LOCAL
#define FAST_IO
#endif

// ===== template.hpp =====
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define OVERRIDE(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (i32) (n); ++i)
#define REP3(i, m, n) for (i32 i = (i32) (m); i < (i32) (n); ++i)
#define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER(i, n) for (i32 i = (i32) (n) - 1; i >= 0; --i)
#define ALL(x) begin(x), end(x)

using namespace std;

using u32 = unsigned int;
using u64 = unsigned long long;
using u128 = __uint128_t;
using i32 = signed int;
using i64 = signed long long;
using i128 = __int128_t;
using f64 = double;
using f80 = long double;

template <typename T>
using Vec = vector<T>;

template <typename T>
bool chmin(T &x, const T &y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}

istream &operator>>(istream &is, i128 &x) {
    i64 v;
    is >> v;
    x = v;
    return is;
}
ostream &operator<<(ostream &os, i128 x) {
    os << (i64) x;
    return os;
}
istream &operator>>(istream &is, u128 &x) {
    u64 v;
    is >> v;
    x = v;
    return is;
}
ostream &operator<<(ostream &os, u128 x) {
    os << (u64) x;
    return os;
}

[[maybe_unused]] constexpr i32 INF = 1000000100;
[[maybe_unused]] constexpr i64 INF64 = 3000000000000000100;
struct SetUpIO {
    SetUpIO() {
#ifdef FAST_IO
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
#endif
        cout << fixed << setprecision(15);
    }
} set_up_io;
// ===== template.hpp =====

#ifdef DEBUGF
#include "cpl/template/debug.hpp"
#else
#define DBG(x) (void) 0
#endif

// ===== trie.hpp =====
#include <algorithm>
#include <array>
#include <string>
#include <vector>

class Trie {
    std::vector<std::array<int, 26>> trie;
    std::vector<int> cnt;

public:
    static constexpr int none = -1;

private:
    int make_node() {
        int s = trie.size();
        trie.emplace_back(std::array<int, 26>());
        std::fill(trie[s].begin(), trie[s].end(), none);
        cnt.push_back(0);
        return s;
    }

public:
    Trie() : trie(), cnt() {
        make_node();
    }

    int size() const {
        return (int) trie.size();
    }

    const std::array<int, 26> &operator[](int i) const {
        return trie[i];
    }

    int insert(const std::string &s) {
        int cur = 0;
        for (char c : s) {
            if (trie[cur][c - 'a'] == none) {
                trie[cur][c - 'a'] = make_node();
            }
            cur = trie[cur][c - 'a'];
        }
        return cnt[cur]++;
    }
    
    int find(const std::string &s) const {
        int cur = 0;
        for (char c : s) {
            int nxt = trie[cur][c - 'a'];
            if (nxt == none) {
                return none;
            }
            cur = nxt;
        }
        return cur;
    }

    int count(const std::string &s) const {
        int node = find(s);
        if (node == none) {
            return 0;
        } else {
            return cnt[node];
        }
    }

    int cnt_node(int i) const {
        return cnt[i];
    }
};
// ===== trie.hpp =====
// ===== graph.hpp =====

#include <utility>
#include <vector>
#include <numeric>
#include <cassert>

template <typename Edge>
class Graph {
    std::vector<std::vector<Edge>> edges;

public:
    Graph() : edges() {}
    Graph(int v) : edges(v) {
        assert(v >= 0);
    }
    
    std::vector<int> add_vertices(int n) {
        int v = (int) edges.size();
        std::vector<int> idx(n);
        std::iota(idx.begin(), idx.end(), v);
        edges.resize(edges.size() + n);
        return idx;
    }

    template <typename... T>
    void add_directed_edge(int from, int to, T &&...val) {
        assert(from >= 0 && from < (int) edges.size());
        assert(to >= 0 && to < (int) edges.size());
        edges[from].emplace_back(Edge(to, std::forward<T>(val)...));
    }

    template <typename... T>
    void add_undirected_edge(int u, int v, const T &...val) {
        assert(u >= 0 && u < (int) edges.size());
        assert(v >= 0 && v < (int) edges.size());
        edges[u].emplace_back(Edge(v, val...));
        edges[v].emplace_back(Edge(u, val...));
    }

    int size() const {
        return (int) edges.size();
    }

    const std::vector<Edge> &operator[](int v) const {
        assert(v >= 0 && v < (int) edges.size());
        return edges[v];
    }

    std::vector<Edge> &operator[](int v) {
        assert(v >= 0 && v < (int) edges.size());
        return edges[v];
    }
};

struct UnweightedEdge {
    int to;

    UnweightedEdge(int t) : to(t) {}
    
    explicit operator int() const {
        return to;
    }

    using Weight = std::size_t;
    Weight weight() const {
        return 1;
    }
};

template <typename T>
struct WeightedEdge {
    int to;
    T wt;

    WeightedEdge(int t, const T &w) : to(t), wt(w) {}

    explicit operator int() const {
        return to;
    }

    using Weight = T;
    Weight weight() const {
        return wt;
    }
};

// ===== graph.hpp =====
// ===== heavy_light_decomposition.hpp =====

#include <algorithm>
#include <cassert>
#include <utility>
#include <vector>

class HeavyLightDecomposition {
    std::vector<int> siz;
    std::vector<int> par;
    std::vector<int> hea;
    std::vector<int> in;
    std::vector<int> out;
    std::vector<int> dep;
    std::vector<int> rev;

    template <typename G>
    void dfs1(G &g, int v) {
        if (!g[v].empty() && (int) g[v][0] == par[v]) {
            std::swap(g[v][0], g[v].back());
        }
        for (auto &e : g[v]) {
            int u = (int)e;
            if (u != par[v]) {
                par[u] = v;
                dfs1(g, u);
                siz[v] += siz[u];
                if (siz[u] > siz[g[v][0]]) {
                    std::swap(g[v][0], e);
                }
            }
        }
    }

    template <typename G>
    void dfs2(const G &g, int v, int &time) {
        in[v] = time;
        rev[time++] = v;
        for (auto &e : g[v]) {
            int u = (int)e;
            if (u == par[v]) {
                continue;
            }
            if (u == (int) g[v][0]) {
                hea[u] = hea[v];
            } else {
                hea[u] = u;
            }
            dep[u] = dep[v] + 1;
            dfs2(g, u, time);
        }
        out[v] = time;
    }

public:
    template <typename G>
    HeavyLightDecomposition(G &g, int root = 0) :
        siz(g.size(), 1),
        par(g.size(), root),
        hea(g.size(), root),
        in(g.size(), 0),
        out(g.size(), 0),
        dep(g.size(), 0),
        rev(g.size(), 0) {
        assert(root >= 0 && root < static_cast<int>(g.size()));
        dfs1(g, root);
        int time = 0;
        dfs2(g, root, time);
    }

    int subtree_size(int v) const {
        assert(v >= 0 && v < static_cast<int>(siz.size()));
        return siz[v];
    }

    int parent(int v) const {
        assert(v >= 0 && v < static_cast<int>(par.size()));
        return par[v];
    }

    int in_time(int v) const {
        assert(v >= 0 && v < static_cast<int>(in.size()));
        return in[v];
    }

    int out_time(int v) const {
        assert(v >= 0 && v < static_cast<int>(out.size()));
        return out[v];
    }

    int depth(int v) const {
        assert(v >= 0 && v < static_cast<int>(dep.size()));
        return dep[v];
    }

    int time_to_vertex(int t) const {
        assert(t >= 0 && t < static_cast<int>(rev.size()));
        return rev[t];
    }
    
    int la(int v, int k) const {
        assert(v >= 0 && v < static_cast<int>(dep.size()));
        assert(k >= 0);
        while (true) {
            int u = hea[v];
            if (in[u] + k <= in[v]) {
                return rev[in[v] - k];
            }
            k -= in[v] - in[u] + 1;
            v = par[u];
        }
        return 0;
    }
    
    int forward(int v, int dst) const {
        assert(v >= 0 && v < static_cast<int>(dep.size()));
        assert(dst >= 0 && dst < static_cast<int>(dep.size()));
        assert(v != dst);
        int l = lca(v, dst);
        if (l == v) {
            return la(dst, dist(v, dst) - 1);
        } else {
            return par[v];
        }
    }

    int lca(int u, int v) const {
        assert(u >= 0 && u < static_cast<int>(dep.size()));
        assert(v >= 0 && v < static_cast<int>(dep.size()));
        while (u != v) {
            if (in[u] > in[v]) {
                std::swap(u, v);
            }
            if (hea[u] == hea[v]) {
                v = u;
            } else {
                v = par[hea[v]];
            }
        }
        return u;
    }

    int dist(int u, int v) const {
        assert(u >= 0 && u < static_cast<int>(dep.size()));
        assert(v >= 0 && v < static_cast<int>(dep.size()));
        return dep[u] + dep[v] - 2 * dep[lca(u, v)];
    }

    std::vector<std::pair<int, int>> path(int u, int v, bool edge) const {
        assert(u >= 0 && u < static_cast<int>(dep.size()));
        assert(v >= 0 && v < static_cast<int>(dep.size()));
        std::vector<std::pair<int, int>> fromu, fromv;
        bool rev = false;
        while (true) {
            if (u == v && edge) {
                break;
            }
            if (in[u] > in[v]) {
                std::swap(u, v);
                std::swap(fromu, fromv);
                rev ^= true;
            }
            if (hea[u] == hea[v]) {
                fromv.emplace_back(in[v], in[u] + (int)edge);
                v = u;
                break;
            } else {
                fromv.emplace_back(in[v], in[hea[v]]);
                v = par[hea[v]];
            }
        }
        if (rev) {
            std::swap(fromu, fromv);
        }
        std::reverse(fromv.begin(), fromv.end());
        fromu.reserve(fromv.size());
        for (auto [x, y] : fromv) {
            fromu.emplace_back(y, x);
        }
        return fromu;
    }
};

// ===== heavy_light_decomposition.hpp =====
// ===== fenwick_tree.hpp =====

#include <cassert>
#include <vector>

// ===== operations.hpp =====

#include <limits>
#include <utility>

template <typename T>
struct Add {
    using Value = T;
    static Value id() {
        return T(0);
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return lhs + rhs;
    }
    static Value inv(const Value &x) {
        return -x;
    }
};

template <typename T>
struct Mul {
    using Value = T;
    static Value id() {
        return Value(1);
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return lhs * rhs;
    }
    static Value inv(const Value &x) {
        return Value(1) / x;
    }
};

template <typename T>
struct Min {
    using Value = T;
    static Value id() {
        return std::numeric_limits<T>::max();
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return std::min(lhs, rhs);
    }
};

template <typename T>
struct Max {
    using Value = T;
    static Value id() {
        return std::numeric_limits<Value>::min();
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return std::max(lhs, rhs);
    }
};

template <typename T>
struct Xor {
    using Value = T;
    static Value id() {
        return T(0);
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return lhs ^ rhs;
    }
    static Value inv(const Value &x) {
        return x;
    }
};

template <typename Monoid>
struct Reversible {
    using Value = std::pair<typename Monoid::Value, typename Monoid::Value>;
    static Value id() {
        return Value(Monoid::id(), Monoid::id());
    }
    static Value op(const Value &v1, const Value &v2) {
        return Value(
            Monoid::op(v1.first, v2.first),
            Monoid::op(v2.second, v1.second));
    }
};

// ===== operations.hpp =====

template <typename CommutativeGroup>
class FenwickTree {
public:
    using Value = typename CommutativeGroup::Value;

private:
    std::vector<Value> data;

public:
    FenwickTree(int n) : data(n, CommutativeGroup::id()) {}

    void add(int idx, const Value &x) {
        assert(idx >= 0 && idx < static_cast<int>(data.size()));
        for (; idx < static_cast<int>(data.size()); idx |= idx + 1) {
            data[idx] = CommutativeGroup::op(data[idx], x);
        }
    }

    Value sum(int r) const {
        assert(r >= 0 && r <= static_cast<int>(data.size()));
        Value ret = CommutativeGroup::id();
        for (; r > 0; r &= r - 1) {
            ret = CommutativeGroup::op(ret, data[r - 1]);
        }
        return ret;
    }

    Value sum(int l, int r) const {
        assert(l >= 0 && l <= r && r <= static_cast<int>(data.size()));
        return CommutativeGroup::op(sum(r), CommutativeGroup::inv(sum(l)));
    }
};
// ===== fenwick_tree.hpp =====

int main() {
    i32 n;
    cin >> n;
    Vec<string> s(n);
    REP(i, n) {
        cin >> s[i];
    }
    i32 q;
    cin >> q;
    Vec<tuple<i32, i32, char>> queries(q);
    for (auto &[t, x, c] : queries) {
        cin >> t;
        --t;
        if (t == 0) {
            cin >> x >> c;
            --x;
        } else {
            cin >> x;
            --x;
            c = '$';
        }
    }
    
    Vec<i32> init_len(n);
    REP(i, n) {
        init_len[i] = (i32) s[i].size();
    }
    
    for (auto [t, x, c] : queries) {
        if (t == 0) {
            s[x].push_back(c);
        }
    }
    
    Trie trie;
    REP(i, n) {
        trie.insert(s[i]);
    }
    
    Graph<i32> tree(trie.size());
    REP(i, trie.size()) {
        for (i32 to : trie[i]) {
            if (to != Trie::none) {
                tree.add_undirected_edge(i, to);
            }
        }
    }
    HeavyLightDecomposition hld(tree);
    FenwickTree<Add<i64>> fw(tree.size());
    Vec<i32> pos(n);
    REP(i, n) {
        i32 cur = 0;
        REP(j, init_len[i]) {
            cur = trie[cur][s[i][j] - 'a'];
            fw.add(hld.in_time(cur), 1);
        }
        pos[i] = cur;
    }
    
    DBG(pos);
    for (auto [t, x, c] : queries) {
        if (t == 0) {
            pos[x] = trie[pos[x]][c - 'a'];
            DBG(pos[x]);
            fw.add(hld.in_time(pos[x]), 1);
        } else {
            i64 ans = 0;
            for (auto [x, y] : hld.path(0, pos[x], false)) {
                if (x > y) {
                    swap(x, y);
                }
                ans += fw.sum(x, y + 1);
            }
            cout << ans << '\n';
        }
    }
}
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