結果

問題 No.2713 Just Solitaire
コンテスト
ユーザー dyktr_06
提出日時 2024-03-12 02:57:37
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 40 ms / 2,000 ms
コード長 6,657 bytes
コンパイル時間 4,943 ms
コンパイル使用メモリ 264,924 KB
最終ジャッジ日時 2025-02-20 03:55:31
ジャッジサーバーID
（参考情報） 		judge3 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 32
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>
#include <atcoder/all>

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>
struct Dinic{
private:
    int V;
    vector<int> level, iter;

    void bfs(int s, int t){
        fill(level.begin(), level.end(), -1);
        level[s] = 0;
        queue<int> q;
        q.push(s);
        while(!(q.empty())){
            int f = q.front();
            q.pop();
            for(auto &e : G[f]){
                if(e.cap > 0 && level[e.to] < 0){
                    level[e.to] = level[f] + 1;
                    if(e.to == t) return;
                    q.push(e.to);
                }
            }
        }
    }

    T dfs(int v, int t, T f){
        if(v == t){
            return f;
        }
        for(int &i = iter[v]; i < (int) G[v].size(); i++){
            edge &e = G[v][i];
            if(e.cap > 0 && level[v] < level[e.to]){
                T d = dfs(e.to, t, min(f, e.cap));
                if(d > 0){
                    e.cap -= d;
                    e.flow += d;
                    G[e.to][e.rev].cap += d;
                    G[e.to][e.rev].flow -= d;
                    return d;
                }
            }
        }
        return 0;
    }

public:
    struct edge{
        int to, rev;
        T cap, flow = 0;
    };
    vector<vector<edge>> G;

    Dinic(const int n) : V(n), level(n), iter(n), G(n){}

    void add_edge(int from, int to, T cap){
        G[from].push_back({to, (int) G[to].size(), cap});
        G[to].push_back({from, (int) G[from].size() - 1, (T) 0});
    }

    T flow(int s, int t){
        T flow = 0;
        while(true){
            bfs(s, t);
            if(level[t] < 0) return flow;
            fill(iter.begin(), iter.end(), 0);
            T f;
            while((f = dfs(s, t, numeric_limits<T>::max())) > 0){
                flow += f;
            }
        }
    }
};

ll n, m;
vll a, b;
vll k;
vector<vll> c;

void input(){
    in(n, m);
    vin(a, n);
    vin(b, m);
    k.resize(m);
    c.resize(m);
    rep(i, m){
        in(k[i]);
        c[i].resize(k[i]);
        rep(j, k[i]){
            in(c[i][j]);
        }
    }
}

void solve(){
    Dinic<ll> G(n + m + 2);
    ll s = n + m;
    ll t = s + 1;
    rep(i, n) G.add_edge(s, i, a[i]);
    rep(i, m) G.add_edge(n + i, t, b[i]);

    vector<vll> bonus(n);
    rep(i, m){
        rep(j, k[i]){
            c[i][j]--;
            bonus[c[i][j]].push_back(i);
        }
    }
    rep(i, n){
        for(auto x : bonus[i]){
            G.add_edge(i, n + x, INF);
        }
    }
    out(sum(b) - G.flow(s, t));
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(20);
    
    input();
    solve();
}
0