結果

問題 No.2780 The Bottle Imp
ユーザー dyktr_06dyktr_06
提出日時 2024-06-07 23:06:11
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 88 ms / 2,000 ms
コード長 7,304 bytes
コンパイル時間 2,406 ms
コンパイル使用メモリ 222,412 KB
実行使用メモリ 40,992 KB
最終ジャッジ日時 2024-06-08 10:37:31
合計ジャッジ時間 5,067 ms
ジャッジサーバーID
(参考情報)
judge5 / judge1
このコードへのチャレンジ
(要ログイン)

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 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 43 ms
16,168 KB
testcase_08 AC 41 ms
16,176 KB
testcase_09 AC 42 ms
16,188 KB
testcase_10 AC 41 ms
16,056 KB
testcase_11 AC 42 ms
16,096 KB
testcase_12 AC 88 ms
31,816 KB
testcase_13 AC 87 ms
31,692 KB
testcase_14 AC 20 ms
7,296 KB
testcase_15 AC 20 ms
7,296 KB
testcase_16 AC 20 ms
7,296 KB
testcase_17 AC 19 ms
7,296 KB
testcase_18 AC 20 ms
7,296 KB
testcase_19 AC 19 ms
7,296 KB
testcase_20 AC 18 ms
7,296 KB
testcase_21 AC 18 ms
7,296 KB
testcase_22 AC 16 ms
7,168 KB
testcase_23 AC 18 ms
7,040 KB
testcase_24 AC 35 ms
13,584 KB
testcase_25 AC 61 ms
22,472 KB
testcase_26 AC 26 ms
10,240 KB
testcase_27 AC 19 ms
9,796 KB
testcase_28 AC 19 ms
9,796 KB
testcase_29 AC 25 ms
14,184 KB
testcase_30 AC 27 ms
15,232 KB
testcase_31 AC 31 ms
15,748 KB
testcase_32 AC 9 ms
5,632 KB
testcase_33 AC 41 ms
23,964 KB
testcase_34 AC 68 ms
40,992 KB
testcase_35 AC 9 ms
5,376 KB
testcase_36 AC 2 ms
5,376 KB
testcase_37 AC 2 ms
5,376 KB
testcase_38 AC 9 ms
5,376 KB
testcase_39 AC 30 ms
15,652 KB
testcase_40 AC 28 ms
15,784 KB
testcase_41 AC 30 ms
15,652 KB
testcase_42 AC 2 ms
5,376 KB
testcase_43 AC 2 ms
5,376 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>
using namespace std;

#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(n) for(int i = 0; i < (int)(n); ++i)
#define rep2(i, n) for(int i = 0; i < (int)(n); ++i)
#define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i)
#define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)

#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i)
#define ALL(a) (a).begin(), (a).end()
#define Sort(a) (sort((a).begin(), (a).end()))
#define RSort(a) (sort((a).rbegin(), (a).rend()))
#define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end()))

typedef long long int ll;
typedef unsigned long long ul;
typedef long double ld;
typedef vector<int> vi;
typedef vector<long long> vll;
typedef vector<char> vc;
typedef vector<string> vst;
typedef vector<double> vd;
typedef vector<long double> vld;
typedef pair<long long, long long> P;

template<class T> long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); }
template<class T> auto min(const T& a){ return *min_element(a.begin(), a.end()); }
template<class T> auto max(const T& a){ return *max_element(a.begin(), a.end()); }

const long long MINF = 0x7fffffffffff;
const long long INF = 0x1fffffffffffffff;
const long long MOD = 998244353;
const long double EPS = 1e-9;
const long double PI = acos(-1);

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

template<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p){ is >> p.first >> p.second; return is; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){ os << "(" << p.first << ", " << p.second << ")"; return os; }
template<typename T> istream &operator>>(istream &is, vector<T> &v){ for(T &in : v) is >> in; 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] << (i + 1 != (int) v.size() ? " " : ""); } return os; }
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, queue<T> q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; }
template <typename T> ostream &operator<<(ostream &os, deque<T> q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; }
template <typename T> ostream &operator<<(ostream &os, stack<T> st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; }
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; }

template<class T, class U> inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; }
template<class T> inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; }
template<class... T> void in(T&... a){ (cin >> ... >> a); }
void out(){ cout << '\n'; }
template<class T, class... Ts> void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }
template<class T, class U> void inGraph(vector<vector<T>>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } }

template <typename T>
vector<T> topological_sort(const vector<vector<T>> &G){
    int siz = (int) G.size();
    vector<int> indegree(siz);
    for(int i = 0; i < siz; i++){
        for(auto x : G[i]){
            indegree[x]++;
        }
    }

    priority_queue<int, vector<int>, greater<int>> heap;
    for(int i = 0; i < siz; i++){
        if(indegree[i] == 0){
            heap.push(i);
        }
    }

    vector<T> res;
    while(!heap.empty()){
        int node = heap.top();
        heap.pop();
        res.push_back(node);
        for(auto x : G[node]){
            indegree[x]--;
            if(indegree[x] == 0){
                heap.push(x);
            }
        }
    }
    return res;
}

template <typename T>
struct SCC{
    int siz;
    vector<vector<T>> G_reverse;
    vector<bool> check;
    vector<int> memo;
    vector<T> s;
    vector<vector<T>> result;

    SCC(const vector<vector<T>> &G) : G_reverse((int) G.size()), check((int) G.size()){
        siz = (int) G.size();
        for(int i = 0; i < siz; ++i){
            for(const auto &x : G[i]){
                G_reverse[x].emplace_back(i);
            }
        }

        for(int i = 0; i < siz; ++i){
            if(!check[i]){
                dfs(G, i);
            }
        }
        reverse(memo.begin(), memo.end());

        for(int i = 0; i < siz; ++i) check[i] = false;
        for(const auto &x : memo){
            if(!check[x]){
                s = {};
                dfs2(G_reverse, x);
                result.emplace_back(s);
            }
        }
    }

    void dfs(const vector<vector<T>> &G, int curr){
        check[curr] = true;
        for(const auto &x : G[curr]){
            if(check[x]){
                continue;
            }
            dfs(G, x);
        }
        memo.emplace_back(curr);
    }

    void dfs2(const vector<vector<T>> &G, int curr){
        s.emplace_back(curr);
        check[curr] = true;
        for(const auto &x : G[curr]){
            if(check[x]){
                continue;
            }
            dfs2(G, x);
        }
    }

    vector<vector<T>> get() const {
        return result;
    }
};


void input(){
}

void solve(){
    ll n; in(n);
    vector<vll> G(n);
    rep(i, n){
        ll m; in(m);
        rep(j, m){
            ll x; in(x);
            x--;
            G[i].push_back(x);
        }
    }
    SCC<ll> scc(G);
    vll id(n);
    vector<vector<ll>> s = scc.get();
    ll len = (ll) s.size();
    rep(i, len){
        for(auto x : s[i]){
            id[x] = i;
        }
    }
    vector<vll> G2(len);
    rep(i, n){
        for(auto x : G[i]){
            if(id[i] != id[x]){
                G2[id[i]].push_back(id[x]);
            }
        }
    }
    vll visited(len);
    vll ts = topological_sort(G2);
    auto dfs = [&](auto self, ll curr) -> void {
        visited[curr] = 1;
        for(auto x : G2[curr]){
            if(!visited[x]){
                self(self, x);
                break;
            }
        }
    };
    dfs(dfs, id[0]);

    string ans = "Yes";
    rep(i, len){
        if(!visited[i]){
            ans = "No";
            break;
        }
    }
    out(ans);
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(20);

    input();
    solve();
}
0