結果

問題 No.2295 Union Path Query (Medium)
ユーザー 👑 rin204rin204
提出日時 2023-05-05 23:14:23
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 179 ms / 4,000 ms
コード長 18,589 bytes
コンパイル時間 3,692 ms
コンパイル使用メモリ 256,940 KB
実行使用メモリ 9,172 KB
最終ジャッジ日時 2023-08-15 06:22:21
合計ジャッジ時間 15,714 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge13
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 4 ms
7,268 KB
testcase_01 AC 4 ms
7,240 KB
testcase_02 AC 4 ms
7,272 KB
testcase_03 AC 179 ms
7,504 KB
testcase_04 AC 161 ms
8,104 KB
testcase_05 AC 126 ms
8,220 KB
testcase_06 AC 100 ms
8,084 KB
testcase_07 AC 160 ms
7,608 KB
testcase_08 AC 101 ms
8,764 KB
testcase_09 AC 105 ms
8,608 KB
testcase_10 AC 107 ms
8,620 KB
testcase_11 AC 119 ms
8,660 KB
testcase_12 AC 131 ms
8,216 KB
testcase_13 AC 145 ms
7,360 KB
testcase_14 AC 105 ms
7,236 KB
testcase_15 AC 73 ms
8,680 KB
testcase_16 AC 73 ms
8,676 KB
testcase_17 AC 87 ms
8,196 KB
testcase_18 AC 124 ms
8,036 KB
testcase_19 AC 125 ms
8,100 KB
testcase_20 AC 101 ms
8,024 KB
testcase_21 AC 101 ms
8,112 KB
testcase_22 AC 128 ms
8,220 KB
testcase_23 AC 112 ms
8,860 KB
testcase_24 AC 109 ms
8,948 KB
testcase_25 AC 90 ms
8,784 KB
testcase_26 AC 111 ms
8,936 KB
testcase_27 AC 107 ms
8,788 KB
testcase_28 AC 109 ms
8,772 KB
testcase_29 AC 105 ms
8,896 KB
testcase_30 AC 105 ms
8,860 KB
testcase_31 AC 105 ms
8,796 KB
testcase_32 AC 110 ms
9,108 KB
testcase_33 AC 108 ms
8,860 KB
testcase_34 AC 106 ms
8,888 KB
testcase_35 AC 105 ms
8,900 KB
testcase_36 AC 105 ms
8,896 KB
testcase_37 AC 107 ms
9,052 KB
testcase_38 AC 108 ms
8,768 KB
testcase_39 AC 107 ms
8,892 KB
testcase_40 AC 107 ms
8,780 KB
testcase_41 AC 105 ms
8,784 KB
testcase_42 AC 107 ms
8,780 KB
testcase_43 AC 106 ms
8,796 KB
testcase_44 AC 112 ms
8,864 KB
testcase_45 AC 110 ms
8,772 KB
testcase_46 AC 114 ms
8,892 KB
testcase_47 AC 113 ms
9,172 KB
testcase_48 AC 130 ms
8,904 KB
testcase_49 AC 134 ms
9,120 KB
testcase_50 AC 95 ms
8,848 KB
testcase_51 AC 102 ms
8,852 KB
testcase_52 AC 102 ms
8,840 KB
testcase_53 AC 104 ms
8,908 KB
testcase_54 AC 111 ms
8,856 KB
testcase_55 AC 111 ms
8,968 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#line 1 "A.cpp"
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
using namespace std;

using ll = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));

#ifndef RIN__LOCAL
#define endl "\n"
#endif
#define spa ' '
#define len(A) A.size()
#define all(A) begin(A), end(A)

#define fori1(a) for(ll _ = 0; _ < (a); _++)
#define fori2(i, a) for(ll i = 0; i < (a); i++)
#define fori3(i, a, b) for(ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for(ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)

template <typename T>
vector<tuple<ll, T>> ENUMERATE(vector<T> &A, ll s = 0){
    vector<tuple<ll, T>> ret(A.size());
    for(int i = 0; i < A.size(); i++) ret[i] = {i + s, A[i]};
    return ret;
}

vector<tuple<ll, char>> ENUMERATE(string &A, ll s = 0){
    vector<tuple<ll, char>> ret(A.size());
    for(int i = 0; i < A.size(); i++) ret[i] = {i + s, A[i]};
    return ret;
}

#define enum1(A) fori(A.size())
#define enum2(a, A) for(auto a:A)
#define enum3(i, a, A) for(auto&& [i, a]: ENUMERATE(A))
#define enum4(i, a, A, s) for(auto&& [i, a]: ENUMERATE(A, s))
#define enum(...) overload4(__VA_ARGS__, enum4, enum3, enum2, enum1)(__VA_ARGS__)

template <typename T, typename S>
vector<tuple<T, S>> ZIP(vector<T> &A, vector<S> &B){
    int n = min(A.size(), B.size());
    vector<tuple<T, S>> ret(n);
    for(int i = 0; i < n; i++) ret[i] = {A[i], B[i]};
    return ret;
}

template <typename T, typename S>
vector<tuple<ll, T, S>> ENUMZIP(vector<T> &A, vector<S> &B, ll s = 0){
    int n = min(A.size(), B.size());
    vector<tuple<ll, T, S>> ret(n);
    for(int i = 0; i < n; i++) ret[i] = {i + s, A[i], B[i]};
    return ret;
}

#define zip4(a, b, A, B) for(auto&& [a, b]: ZIP(A, B))
#define enumzip5(i, a, b, A, B) for(auto&& [i, a, b]: ENUMZIP(A, B))
#define enumzip6(i, a, b, A, B, s) for(auto&& [i, a, b]: ENUMZIP(A, B, s))
#define overload6(a, b, c, d, e, f, g, ...) g
#define zip(...) overload6(__VA_ARGS__, enumzip6, enumzip5, zip4, _, _, _)(__VA_ARGS__)

vector<char> stoc(string &S){
    int n = S.size();
    vector<char> ret(n);
    for(int i = 0; i < n; i++) ret[i] = S[i];
    return ret;
}

#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);
#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);
#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);
#define VEC(T, A, n) vector<T> A(n); inp(A);
#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);

const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;

template<class T> auto min(const T& a){
    return *min_element(all(a));
}
template<class T> auto max(const T& a){
    return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
    return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
    return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
    return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
    auto b = clamp(a, l, r);
    return (a != b ? a = b, 1 : 0);
}

void FLUSH(){cout << flush;}
void print(){cout << endl;}
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
    cout << head;
    if (sizeof...(Tail)) cout << spa;
    print(forward<Tail>(tail)...);
}
template<typename T>
void print(vector<T> &A){
    int n = A.size();
    for(int i = 0; i < n; i++){
        cout << A[i];
        if(i != n - 1) cout << ' ';
    }
    cout << endl;
}
template<typename T>
void print(vector<vector<T>> &A){
    for(auto &row: A) print(row);
}
template<typename T, typename S>
void print(pair<T, S> &A){
    cout << A.first << spa << A.second << endl;
}
template<typename T, typename S>
void print(vector<pair<T, S>> &A){
    for(auto &row: A) print(row);
}
template<typename T, typename S>
void prisep(vector<T> &A, S sep){
    int n = A.size();
    for(int i = 0; i < n; i++){
        cout << A[i];
        if(i == n - 1) cout << endl;
        else cout << sep;
    }
}
template<typename T, typename S>
void priend(T A, S end){
    cout << A << end;
}
template<typename T>
void priend(T A){
    priend(A, spa);
}
template<class... T>
void inp(T&... a){
    (cin >> ... >> a);
}
template<typename T>
void inp(vector<T> &A){
    for(auto &a:A) cin >> a;
}
template<typename T>
void inp(vector<vector<T>> &A){
    for(auto &row:A) inp(row);
}
template<typename T, typename S>
void inp(pair<T, S> &A){
    inp(A.first, A.second);
}
template<typename T, typename S>
void inp(vector<pair<T, S>> &A){
    for(auto &row: A) inp(row.first, row.second);
}

template<typename T>
T sum(vector<T> &A){
    T tot = 0;
    for(auto a:A) tot += a;
    return tot;
}

template<typename T>
vector<T> compression(vector<T> X){
    sort(all(X));
    X.erase(unique(all(X)), X.end());
    return X;

}

vector<vector<int>> read_edges(int n, int m, bool direct=false, int indexed=1){
    vector<vector<int>> edges(n, vector<int>());
    for(int i = 0; i < m; i++){
        INT(u, v);
        u -= indexed;
        v -= indexed;
        edges[u].push_back(v);
        if(!direct) edges[v].push_back(u);
    }
    return edges;
}

vector<vector<int>> read_tree(int n, int indexed=1){
    return read_edges(n, n - 1, false, indexed);
}

template<typename T>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct=false, int indexed=1){
    vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
    for(int i = 0; i < m; i++){
        INT(u, v);
        T w;
        inp(w);
        u -= indexed;
        v -= indexed;
        edges[u].push_back({v, w});
        if(!direct) edges[v].push_back({u, w});
    }
    return edges;
}

template<typename T>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed=1){
    return read_wedges<T>(n, n - 1, false, indexed);
}

struct UnionFind{
    int n;
    vector<int> par;
    int group;

    UnionFind() = default;
    UnionFind(int n) : n(n){
        par.assign(n, -1);
        group = n;
    }

    int find(int x){
        if(par[x] < 0) return x;
        par[x] = find(par[x]);
        return par[x];
    }

    bool unite(int x, int y){
        x = find(x);
        y = find(y);
        if(x == y) return false;
        if(par[x] > par[y]) swap(x, y);
        group--;
        par[x] += par[y];
        par[y] = x;
        return true;
    }

    bool same(int x, int y){
        return find(x) == find(y);
    }

    int size(int x){
        return -par[find(x)];
    }

    vector<int> roots(){
        vector<int> ret;
        for(int i = 0; i < n; i++){
            if(i == find(i)) ret.push_back(i);
        }
        return ret;
    }
};


#line 2 "Library/C++/other/Modint.hpp"

template<int MOD>
struct Modint{
    int x;
    Modint() : x(0){}
    Modint(int64_t y){
        if(y >= 0) x = y % MOD;
        else x = (y % MOD + MOD) % MOD;
    }

    Modint &operator+=(const Modint &p){
        x += p.x;
        if(x >= MOD) x -= MOD;
        return *this;
    }

    Modint &operator-=(const Modint &p){
        x -= p.x;
        if(x < 0) x += MOD;
        return *this;
    }

    Modint &operator*=(const Modint &p){
        x = int(1LL * x * p.x % MOD);
        return *this;
    }

    Modint &operator/=(const Modint &p){
        *this *= p.inverse();
        return *this;
    }

    Modint &operator%=(const Modint &p){
        assert(p.x == 0);
        return *this;
    }

    Modint operator-() const{
        return Modint(-x);
    }

    Modint& operator++() {
        x++;
        if (x == MOD) x = 0;
        return *this;
    }

    Modint& operator--() {
        if (x == 0) x = MOD;
        x--;
        return *this;
    }

    Modint operator++(int) {
        Modint result = *this;
        ++*this;
        return result;
    }

    Modint operator--(int) {
        Modint result = *this;
        --*this;
        return result;
    }

    friend Modint operator+(const Modint &lhs, const Modint &rhs){
        return Modint(lhs) += rhs;
    }

    friend Modint operator-(const Modint &lhs, const Modint &rhs){
        return Modint(lhs) -= rhs;
    }

    friend Modint operator*(const Modint &lhs, const Modint &rhs){
        return Modint(lhs) *= rhs;
    }

    friend Modint operator/(const Modint &lhs, const Modint &rhs){
        return Modint(lhs) /= rhs;
    }

    friend Modint operator%(const Modint &lhs, const Modint &rhs){
        assert(rhs.x == 0);
        return Modint(lhs);
    }

    bool operator==(const Modint &p) const{
        return x == p.x;
    }

    bool operator!=(const Modint &p) const{
        return x != p.x;
    }

    bool operator<(const Modint &rhs) const{
        return x < rhs.x;
    }

    bool operator<=(const Modint &rhs) const{
        return x <= rhs.x;
    }

    bool operator>(const Modint &rhs) const{
        return x > rhs.x;
    }

    bool operator>=(const Modint &rhs) const{
        return x >= rhs.x;
    }

    Modint inverse() const{
        int a = x, b = MOD, u = 1, v = 0, t;
        while(b > 0){
            t = a / b;
            a -= t * b;
            u -= t * v;
            swap(a, b);
            swap(u, v);
        }
        return Modint(u);
    }

    Modint pow(int64_t k) const{
        Modint ret(1);
        Modint y(x);
        while(k > 0){
            if(k & 1) ret *= y;
            y *= y;
            k >>= 1;
        }
        return ret;
    }

    friend ostream &operator<<(ostream &os, const Modint &p){
        return os << p.x;
    }

    friend istream &operator>>(istream &is, Modint &p){
        int64_t y;
        is >> y;
        p = Modint<MOD>(y);
        return (is);
    }

    static int get_mod(){
        return MOD;
    }
};

struct Arbitrary_Modint{
    int x;
    static int MOD;

    static void set_mod(int mod){
        MOD = mod;
    }

    Arbitrary_Modint() : x(0){}
    Arbitrary_Modint(int64_t y){
        if(y >= 0) x = y % MOD;
        else x = (y % MOD + MOD) % MOD;
    }

    Arbitrary_Modint &operator+=(const Arbitrary_Modint &p){
        x += p.x;
        if(x >= MOD) x -= MOD;
        return *this;
    }

    Arbitrary_Modint &operator-=(const Arbitrary_Modint &p){
        x -= p.x;
        if(x < 0) x += MOD;
        return *this;
    }

    Arbitrary_Modint &operator*=(const Arbitrary_Modint &p){
        x = int(1LL * x * p.x % MOD);
        return *this;
    }

    Arbitrary_Modint &operator/=(const Arbitrary_Modint &p){
        *this *= p.inverse();
        return *this;
    }

    Arbitrary_Modint &operator%=(const Arbitrary_Modint &p){
        assert(p.x == 0);
        return *this;
    }

    Arbitrary_Modint operator-() const{
        return Arbitrary_Modint(-x);
    }

    Arbitrary_Modint& operator++() {
        x++;
        if (x == MOD) x = 0;
        return *this;
    }

    Arbitrary_Modint& operator--() {
        if (x == 0) x = MOD;
        x--;
        return *this;
    }

    Arbitrary_Modint operator++(int) {
        Arbitrary_Modint result = *this;
        ++*this;
        return result;
    }

    Arbitrary_Modint operator--(int) {
        Arbitrary_Modint result = *this;
        --*this;
        return result;
    }

    friend Arbitrary_Modint operator+(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs){
        return Arbitrary_Modint(lhs) += rhs;
    }

    friend Arbitrary_Modint operator-(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs){
        return Arbitrary_Modint(lhs) -= rhs;
    }

    friend Arbitrary_Modint operator*(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs){
        return Arbitrary_Modint(lhs) *= rhs;
    }

    friend Arbitrary_Modint operator/(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs){
        return Arbitrary_Modint(lhs) /= rhs;
    }

    friend Arbitrary_Modint operator%(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs){
        assert(rhs.x == 0);
        return Arbitrary_Modint(lhs);
    }

    bool operator==(const Arbitrary_Modint &p) const{
        return x == p.x;
    }

    bool operator!=(const Arbitrary_Modint &p) const{
        return x != p.x;
    }

    bool operator<(const Arbitrary_Modint &rhs) {
        return x < rhs.x;
    }

    bool operator<=(const Arbitrary_Modint &rhs) {
        return x <= rhs.x;
    }

    bool operator>(const Arbitrary_Modint &rhs) {
        return x > rhs.x;
    }

    bool operator>=(const Arbitrary_Modint &rhs) {
        return x >= rhs.x;
    }

    Arbitrary_Modint inverse() const{
        int a = x, b = MOD, u = 1, v = 0, t;
        while(b > 0){
            t = a / b;
            a -= t * b;
            u -= t * v;
            swap(a, b);
            swap(u, v);
        }
        return Arbitrary_Modint(u);
    }

    Arbitrary_Modint pow(int64_t k) const{
        Arbitrary_Modint ret(1);
        Arbitrary_Modint y(x);
        while(k > 0){
            if(k & 1) ret *= y;
            y *= y;
            k >>= 1;
        }
        return ret;
    }

    friend ostream &operator<<(ostream &os, const Arbitrary_Modint &p){
        return os << p.x;
    }

    friend istream &operator>>(istream &is, Arbitrary_Modint &p){
        int64_t y;
        is >> y;
        p = Arbitrary_Modint(y);
        return (is);
    }

    static int get_mod(){
        return MOD;
    }
};
int Arbitrary_Modint::MOD = 998244353;

using modint9 = Modint<998244353>;
using modint1 = Modint<1000000007>;
using modint = Arbitrary_Modint;
#line 368 "A.cpp"
using mint = modint9;


template<typename T=long long>
struct WeightedUnionFind{
    int n;
    vector<int> par;
    vector<T> D;
    vector<T> W;
    vector<mint> sum;
    int group;

    WeightedUnionFind(int n, vector<T> W) : n(n), W(W){
        par.assign(n, -1);
        group = n;
        D.assign(n, T(0));
        sum.assign(n, T(0));
    }

    WeightedUnionFind(int n): WeightedUnionFind(n, vector<T>(n, T(0))) {}

    int find(int x){
        if(par[x] < 0) return x;
        int p = find(par[x]);
        D[x] += D[par[x]];
        par[x] = find(p);
        return p;
    }

    bool unite(int x, int y, T d){
        // x = y + d
        T dd = d;
        int xp = find(x);
        int yp = find(y);
        d -= D[x];
        x = xp;
        d += D[y];
        y = yp;
        if(x == y){
            assert(d == 0);
            return false;
        }
        if(par[x] > par[y]){
            swap(x, y);
            d *= -1;
        }
        sum[x] += dd * mint(par[x]) * mint(par[y]);
        group--;
        par[x] += par[y];
        D[y] = -d;
        par[y] = x;
        return true;
    }

    bool same(int x, int y){
        return find(x) == find(y);
    }

    int size(int x){
        return -par[find(x)];
    }

    vector<int> roots(){
        vector<int> ret;
        for(int i = 0; i < n; i++){
            if(i == find(i)) ret.push_back(i);
        }
        return ret;
    }

    T diff(int x, int y){
        assert(same(x, y));
        return D[x] - D[y];
    }

    void all_add(int a, T b){
        a = find(a);
        W[a] += b;
    }
    
    T get(int a){
        int p = find(a);
        return W[p] + diff(a, p);
    }
};

////////// https://tiramister.net/blog/posts/persistent-unionfind/

const int INF = 1 << 25;

// 頂点数
const int V_NUM = 200100;

class persistentUF {
public:
    int now;         // 現在時刻
    int par[V_NUM];  // 各頂点の親
    int rank[V_NUM]; // その頂点を根とする木の深さ
    int time[V_NUM]; // 親がいつ更新されたか
    mint size[V_NUM]; 
    mint sum[V_NUM];

    explicit persistentUF() {
        now = 0;
        for (int i = 0; i < V_NUM; ++i) {
            par[i] = i;
        }
        fill(rank, rank + V_NUM, 1);
        fill(sum, sum + V_NUM, 0);
        fill(size, size + V_NUM, 1);
        fill(time, time + V_NUM, INF); // 自身が根の間は便宜上INFとする
    }

    // 時刻tにおけるxの親を返す
    int find(int x, int t) {
        if (t < time[x]) {
            return x;
        } else {
            return find(par[x], t);
        }
    }

    // 時刻tにてxとyが同じ木に属するか判定
    bool same(int x, int y, int t) {
        return find(x, t) == find(y, t);
    }

    // 頂点xとyを繋げる
    // 繋げた直後の時刻を返す
    int unite(int x, int y, mint d) {
        ++now; // 時間を進める

        x = find(x, now);
        y = find(y, now);

        if (x == y) return now;

        // rank[x] >= rank[y]にする
        if (rank[x] < rank[y]) swap(x, y);

        // rankの大きい方、つまりxにyをくっつける
        par[y] = x;
        time[y] = now; // timeに時刻を記録
        if (rank[x] == rank[y]) ++rank[x];
        sum[x] += d * size[x] * size[y] + sum[y];
        size[x] += size[y];
        return now;
    }
};

void solve(){
    INT(n, x, Q);
    persistentUF UF;
    vec(int, times, 1, 0);
    vec(int, D, 1, 0);
    fori(Q){
        INT(t);
        // print(t, x);
        if(t == 1){
            INT(v, w);
            if(UF.same(x, v, times.back())) continue;
            int res = UF.unite(x, v, w);
            times.push_back(res);
            D.push_back(w);
        }
        else if(t == 2){
            INT(u, v);
            if(!UF.same(u, v, times.back())) print(-1);
            else if(u == v){
                print(0);
            }
            else{
                int l = 0;
                int r = times.size();
                while(r - l > 1){
                    int mid = (l + r) / 2;
                    if(UF.same(u, v, mid)) r = mid;
                    else l = mid;
                }
                ll d = D[r];
                print(d);
                x = (x + d) % n;
            }
        }
        else if(t == 3){
            INT(v);
            print(UF.sum[UF.find(v, times.back())]);
        }
        else{
            INT(v);
            x = (x + v) % n;
        }
    }

}

int main(){
    cin.tie(0)->sync_with_stdio(0);
    // cout << fixed << setprecision(12);
    int t;
    t = 1;
    // cin >> t;
    while(t--) solve();
    return 0;
}
0