結果

問題 No.1983 [Cherry 4th Tune C] 南の島のマーメイド
ユーザー raven7959raven7959
提出日時 2022-09-02 14:47:36
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 310 ms / 4,000 ms
コード長 7,466 bytes
コンパイル時間 2,947 ms
コンパイル使用メモリ 220,752 KB
実行使用メモリ 38,504 KB
最終ジャッジ日時 2024-11-15 19:46:14
合計ジャッジ時間 14,670 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
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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 3 ms
6,816 KB
testcase_01 AC 2 ms
6,820 KB
testcase_02 AC 2 ms
6,816 KB
testcase_03 AC 2 ms
6,820 KB
testcase_04 AC 2 ms
6,820 KB
testcase_05 AC 2 ms
6,816 KB
testcase_06 AC 2 ms
6,816 KB
testcase_07 AC 2 ms
6,816 KB
testcase_08 AC 4 ms
6,816 KB
testcase_09 AC 5 ms
6,816 KB
testcase_10 AC 10 ms
6,816 KB
testcase_11 AC 10 ms
6,820 KB
testcase_12 AC 5 ms
6,816 KB
testcase_13 AC 131 ms
13,284 KB
testcase_14 AC 178 ms
17,536 KB
testcase_15 AC 164 ms
15,816 KB
testcase_16 AC 57 ms
10,668 KB
testcase_17 AC 193 ms
19,312 KB
testcase_18 AC 149 ms
15,656 KB
testcase_19 AC 233 ms
22,776 KB
testcase_20 AC 147 ms
15,088 KB
testcase_21 AC 185 ms
18,560 KB
testcase_22 AC 260 ms
24,704 KB
testcase_23 AC 310 ms
26,680 KB
testcase_24 AC 308 ms
26,616 KB
testcase_25 AC 294 ms
26,784 KB
testcase_26 AC 308 ms
26,780 KB
testcase_27 AC 295 ms
26,640 KB
testcase_28 AC 294 ms
26,768 KB
testcase_29 AC 282 ms
26,792 KB
testcase_30 AC 298 ms
26,776 KB
testcase_31 AC 303 ms
26,640 KB
testcase_32 AC 297 ms
26,708 KB
testcase_33 AC 2 ms
6,816 KB
testcase_34 AC 61 ms
10,336 KB
testcase_35 AC 144 ms
38,428 KB
testcase_36 AC 131 ms
21,196 KB
testcase_37 AC 2 ms
6,820 KB
testcase_38 AC 36 ms
6,816 KB
testcase_39 AC 146 ms
38,504 KB
testcase_40 AC 128 ms
21,392 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 # 

#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,fma,abm,mmx,avx,avx2")
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n - 1); i >= 0; i--)
#define all(x) (x).begin(), (x).end()
#define sz(x) int(x.size())
#define yn(joken) cout<<((joken) ? "Yes" : "No")<<"\n"
#define YN(joken) cout<<((joken) ? "YES" : "NO")<<"\n"
using namespace std;
using ll = long long;
using vi = vector<int>;
using vl = vector<ll>;
using vs = vector<string>;
using vc = vector<char>;
using vd = vector<double>;
using vld = vector<long double>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<ll>>;
using vvs = vector<vector<string>>;
using vvc = vector<vector<char>>;
using vvd = vector<vector<double>>;
using vvld = vector<vector<long double>>;
using vvvi = vector<vector<vector<int>>>;
using vvvl = vector<vector<vector<ll>>>;
using vvvvi = vector<vector<vector<vector<int>>>>;
using vvvvl = vector<vector<vector<vector<ll>>>>;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
const int INF = 1e9;
const ll LINF = 2e18;
template <class T>
bool chmax(T& a, const T& b) {
    if (a < b) {
        a = b;
        return 1;
    }
    return 0;
}
template <class T>
bool chmin(T& a, const T& b) {
    if (b < a) {
        a = b;
        return 1;
    }
    return 0;
}
bool ispow2(int i) { return i && (i & -i) == i; }
bool ispow2(ll i) { return i && (i & -i) == i; }
template <class T>
vector<T> make_vec(size_t a) {
    return vector<T>(a);
}
template <class T, class... Ts>
auto make_vec(size_t a, Ts... ts) {
    return vector<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}
template <typename T>
istream& operator>>(istream& is, vector<T>& v) {
    for (int i = 0; i < int(v.size()); i++) {
        is >> v[i];
    }
    return is;
}
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v) {
    for (int i = 0; i < int(v.size()); i++) {
        os << v[i];
        if (i < int(v.size()) - 1) os << ' ';
    }
    return os;
}

static uint32_t RandXor(){
    static uint32_t x=123456789;
    static uint32_t y=362436069;
    static uint32_t z=521288629;
    static uint32_t w=88675123;
    uint32_t t;
 
    t=x^(x<<11);
    x=y; y=z; z=w;
    return w=(w^(w>>19))^(t^(t>>8));
}

static long double Rand01(){
    return (RandXor()+0.5)*(1.0/UINT_MAX);
}

template <typename T = int>
struct Edge{
    int from, to;
    T cost;
    int idx;
    Edge() = default;
    Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {}
    operator int() const { return to; }
};

template <typename T = int>
struct Graph{
    vector<vector<Edge<T>>> g;
    int es;
    Graph() = default;
    explicit Graph(int n) : g(n), es(0) {}
    size_t size() const{
        return g.size();
    }

    void add_directed_edge(int from, int to, T cost = 1){
        g[from].emplace_back(from, to, cost, es++);
    }

    void add_edge(int from, int to, T cost = 1){
        g[from].emplace_back(from, to, cost, es);
        g[to].emplace_back(to, from, cost, es++);
    }

    void read(int M, int padding = -1, bool weighted = false, bool directed = false){
        for (int i = 0; i < M; i++){
            int a, b;
            cin >> a >> b;
            a += padding;
            b += padding;
            T c = T(1);
            if (weighted) cin >> c;
            if (directed) add_directed_edge(a, b, c);
            else add_edge(a, b, c);
        }
    }

    inline vector<Edge<T>> &operator[](const int &k){
        return g[k];
    }

    inline const vector<Edge<T>> &operator[](const int &k) const{
        return g[k];
    }
};

template <typename T = int>
using Edges = vector<Edge<T>>;

template<typename T>
vector<int> bridge_tree_decomposition(Graph<T> &G){
    int N=(int)G.g.size();
    vector<bool> visited(N);
    vector<int> ord(N),low(N),cmp(N,-1);
    int ts=0,idx=0;
    auto dfs=[&](auto &&self,int v,int p=-1)->void{
        visited[v]=true;
        ord[v]=ts;
        low[v]=ord[v];
        ts++;
        bool flg=false;
        for(auto nv:G[v]){
            if(!visited[nv]){
                self(self,nv,v);
                low[v]=min(low[v],low[nv]);
            }
            else if(nv!=p){
                low[v]=min(low[v],ord[nv]);
            }
            else{
                if(!flg) flg=true;
                else low[v]=min(low[v],ord[p]);
            }
        }
    };
    auto dfs2=[&](auto &&self,int v)->void{
        for(auto nv:G[v]){
            if(cmp[nv]!=-1) continue;
            if(low[nv]<=ord[v]) cmp[nv]=cmp[v];
            else{
                cmp[nv]=idx;
                idx++;
            }
            self(self,nv);
        }
    };
    for(int i=0;i<N;i++) if(!visited[i]) dfs(dfs,i);    
    for(int i=0;i<N;i++){
        if(cmp[i]==-1){
            cmp[i]=idx;
            idx++;
            dfs2(dfs2,i);
        }
    }
    return cmp;
}

// merge(x,y):mergeする,未併合ならtrueが,併合済みならfalseが返ってくる
// leader(x):xの根を返す
// size(x):xの属する集合のサイズを返す
// same(x,y):x,yが同じ集合に属するかどうか
// groups():各集合に含まれる要素を返す

struct dsu{
public:
    dsu() : _n(0) {}
    dsu(int n) : _n(n), parent_or_size(n, -1) {}

    int merge(int a, int b){
        assert(0 <= a && a < _n);
        assert(0 <= b && b < _n);
        int x = leader(a), y = leader(b);
        if (x == y)
            return x;
        if (-parent_or_size[x] < -parent_or_size[y])
            swap(x, y);
        parent_or_size[x] += parent_or_size[y];
        parent_or_size[y] = x;
        return x;
    }

    bool same(int a, int b){
        assert(0 <= a && a < _n);
        assert(0 <= b && b < _n);
        return leader(a) == leader(b);
    }

    int leader(int a){
        assert(0 <= a && a < _n);
        if (parent_or_size[a] < 0)
            return a;
        return parent_or_size[a] = leader(parent_or_size[a]);
    }

    int size(int a){
        assert(0 <= a && a < _n);
        return -parent_or_size[leader(a)];
    }

    vector<vector<int>> groups(){
        vector<int> leader_buf(_n), group_size(_n);
        for (int i = 0; i < _n; i++){
            leader_buf[i] = leader(i);
            group_size[leader_buf[i]]++;
        }
        vector<vector<int>> result(_n);
        for (int i = 0; i < _n; i++){
            result[i].reserve(group_size[i]);
        }
        for (int i = 0; i < _n; i++){
            result[leader_buf[i]].push_back(i);
        }
        result.erase(
            remove_if(result.begin(), result.end(),
                           [&](const vector<int> &v)
                           { return v.empty(); }),
            result.end());
        return result;
    }

private:
    int _n;
    // root node: -1 * component size
    // otherwise: parent
    vector<int> parent_or_size;
};

void solve(){
    int N,M,Q;
    cin>>N>>M>>Q;
    vi A(M),B(M);
    Graph<int> G(N);
    rep(i,M){
        cin>>A[i]>>B[i];
        A[i]--; B[i]--;
        G.add_edge(A[i],B[i]);
    }
    auto ret=bridge_tree_decomposition(G);
    dsu UF(N);
    rep(i,M){
        if(ret[A[i]]!=ret[B[i]]){
            UF.merge(A[i],B[i]);
        }
    }
    while(Q--){
        int x,y;
        cin>>x>>y;
        x--; y--;
        yn(UF.same(x,y));
    }
}

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);

    solve();
}
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