#968714 (C++23) No.2713 Just Solitaire

提出ソース
結果

問題	No.2713 Just Solitaire
ユーザー	noya2
提出日時	2024-04-02 17:28:14
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	3 ms / 2,000 ms
コード長	17,878 bytes
コンパイル時間	2,950 ms
コンパイル使用メモリ	268,600 KB
実行使用メモリ	5,248 KB
最終ジャッジ日時	2024-09-30 23:15:36
合計ジャッジ時間	3,854 ms
ジャッジサーバーID （参考情報）	judge4 / judge1
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	1 ms 5,248 KB
testcase_01	AC	1 ms 5,248 KB
testcase_02	AC	1 ms 5,248 KB
testcase_03	AC	2 ms 5,248 KB
testcase_04	AC	2 ms 5,248 KB
testcase_05	AC	1 ms 5,248 KB
testcase_06	AC	1 ms 5,248 KB
testcase_07	AC	2 ms 5,248 KB
testcase_08	AC	2 ms 5,248 KB
testcase_09	AC	1 ms 5,248 KB
testcase_10	AC	1 ms 5,248 KB
testcase_11	AC	2 ms 5,248 KB
testcase_12	AC	2 ms 5,248 KB
testcase_13	AC	2 ms 5,248 KB
testcase_14	AC	1 ms 5,248 KB
testcase_15	AC	2 ms 5,248 KB
testcase_16	AC	2 ms 5,248 KB
testcase_17	AC	1 ms 5,248 KB
testcase_18	AC	2 ms 5,248 KB
testcase_19	AC	2 ms 5,248 KB
testcase_20	AC	1 ms 5,248 KB
testcase_21	AC	1 ms 5,248 KB
testcase_22	AC	1 ms 5,248 KB
testcase_23	AC	1 ms 5,248 KB
testcase_24	AC	3 ms 5,248 KB
testcase_25	AC	2 ms 5,248 KB
testcase_26	AC	2 ms 5,248 KB
testcase_27	AC	2 ms 5,248 KB
testcase_28	AC	3 ms 5,248 KB
testcase_29	AC	3 ms 5,248 KB
testcase_30	AC	2 ms 5,248 KB
testcase_31	AC	2 ms 5,248 KB
testcase_32	AC	2 ms 5,248 KB
testcase_33	AC	3 ms 5,248 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

raw source code
#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"
using namespace std;

#include<bits/stdc++.h>
#line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp"
namespace noya2 {

template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p){
    os << p.first << " " << p.second;
    return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p){
    is >> p.first >> p.second;
    return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v){
    int s = (int)v.size();
    for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
    return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v){
    for (auto &x : v) is >> x;
    return is;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &...u){
    cin >> t;
    in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u){
    cout << t;
    if (sizeof...(u)) cout << sep;
    out(u...);
}

template<typename T>
void out(const vector<vector<T>> &vv){
    int s = (int)vv.size();
    for (int i = 0; i < s; i++) out(vv[i]);
}

struct IoSetup {
    IoSetup(){
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(15);
        cerr << fixed << setprecision(7);
    }
} iosetup_noya2;

} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp"
namespace noya2{

const int iinf = 1'000'000'007;
const long long linf = 2'000'000'000'000'000'000LL;
const long long mod998 =  998244353;
const long long mod107 = 1000000007;
const long double pi = 3.14159265358979323;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";

void yes(){ cout << "Yes\n"; }
void no(){ cout << "No\n"; }
void YES(){ cout << "YES\n"; }
void NO(){ cout << "NO\n"; }
void yn(bool t){ t ? yes() : no(); }
void YN(bool t){ t ? YES() : NO(); }

} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"
namespace noya2{

unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){
    if (a == 0 || b == 0) return a + b;
    int n = __builtin_ctzll(a); a >>= n;
    int m = __builtin_ctzll(b); b >>= m;
    while (a != b) {
        int mm = __builtin_ctzll(a - b);
        bool f = a > b;
        unsigned long long c = f ? a : b;
        b = f ? b : a;
        a = (c - b) >> mm;
    }
    return a << min(n, m);
}

template<typename T> T gcd_fast(T a, T b){ return static_cast<T>(inner_binary_gcd(abs(a),abs(b))); }

long long sqrt_fast(long long n) {
    if (n <= 0) return 0;
    long long x = sqrt(n);
    while ((x + 1) * (x + 1) <= n) x++;
    while (x * x > n) x--;
    return x;
}

template<typename T> T floor_div(const T n, const T d) {
    assert(d != 0);
    return n / d - static_cast<T>((n ^ d) < 0 && n % d != 0);
}

template<typename T> T ceil_div(const T n, const T d) {
    assert(d != 0);
    return n / d + static_cast<T>((n ^ d) >= 0 && n % d != 0);
}

template<typename T> void uniq(vector<T> &v){
    sort(v.begin(),v.end());
    v.erase(unique(v.begin(),v.end()),v.end());
}

template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; }

template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; }

template<typename T> inline bool range(T l, T x, T r){ return l <= x && x < r; }

} // namespace noya2
#line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"

#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define repp(i,m,n) for (int i = (m); i < (int)(n); i++)
#define reb(i,n) for (int i = (int)(n-1); i >= 0; i--)
#define all(v) (v).begin(),(v).end()

using ll = long long;
using ld = long double;
using uint = unsigned int;
using ull = unsigned long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;

namespace noya2{

/*　~ (. _________ . /)　*/

}

using namespace noya2;


#line 2 "c.cpp"

#line 2 "/Users/noya2/Desktop/Noya2_library/flow/project_selection.hpp"

#line 2 "/Users/noya2/Desktop/Noya2_library/flow/maxflow.hpp"

#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/simple_queue.hpp"

#line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/simple_queue.hpp"

namespace noya2::internal {

template <class T>
struct simple_queue {
    std::vector<T> payload;
    int pos = 0;
    void reserve(int n) { payload.reserve(n); }
    int size() const { return int(payload.size()) - pos; }
    bool empty() const { return pos == int(payload.size()); }
    void push(const T& t) { payload.push_back(t); }
    T& front() { return payload[pos]; }
    void clear() {
        payload.clear();
        pos = 0;
    }
    void pop() { pos++; }
};

} // namespace noya2::internal
#line 4 "/Users/noya2/Desktop/Noya2_library/flow/maxflow.hpp"

#line 10 "/Users/noya2/Desktop/Noya2_library/flow/maxflow.hpp"

namespace noya2 {

template <class Cap> struct mf_graph {
  public:
    mf_graph() : _n(0) {}
    explicit mf_graph(int n) : _n(n), g(n) {}

    int add_edge(int from, int to, Cap cap) {
        assert(0 <= from && from < _n);
        assert(0 <= to && to < _n);
        assert(0 <= cap);
        int m = int(pos.size());
        pos.push_back({from, int(g[from].size())});
        int from_id = int(g[from].size());
        int to_id = int(g[to].size());
        if (from == to) to_id++;
        g[from].push_back(_edge{to, to_id, cap});
        g[to].push_back(_edge{from, from_id, 0});
        return m;
    }

    struct edge {
        int from, to;
        Cap cap, flow;
    };

    edge get_edge(int i) {
        int m = int(pos.size());
        assert(0 <= i && i < m);
        auto _e = g[pos[i].first][pos[i].second];
        auto _re = g[_e.to][_e.rev];
        return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
    }
    std::vector<edge> edges() {
        int m = int(pos.size());
        std::vector<edge> result;
        for (int i = 0; i < m; i++) {
            result.push_back(get_edge(i));
        }
        return result;
    }
    void change_edge(int i, Cap new_cap, Cap new_flow) {
        int m = int(pos.size());
        assert(0 <= i && i < m);
        assert(0 <= new_flow && new_flow <= new_cap);
        auto& _e = g[pos[i].first][pos[i].second];
        auto& _re = g[_e.to][_e.rev];
        _e.cap = new_cap - new_flow;
        _re.cap = new_flow;
    }

    Cap flow(int s, int t) {
        return flow(s, t, std::numeric_limits<Cap>::max());
    }
    Cap flow(int s, int t, Cap flow_limit) {
        assert(0 <= s && s < _n);
        assert(0 <= t && t < _n);
        assert(s != t);

        std::vector<int> level(_n), iter(_n);
        internal::simple_queue<int> que;

        auto bfs = [&]() {
            std::fill(level.begin(), level.end(), -1);
            level[s] = 0;
            que.clear();
            que.push(s);
            while (!que.empty()) {
                int v = que.front();
                que.pop();
                for (auto e : g[v]) {
                    if (e.cap == 0 || level[e.to] >= 0) continue;
                    level[e.to] = level[v] + 1;
                    if (e.to == t) return;
                    que.push(e.to);
                }
            }
        };
        auto dfs = [&](auto self, int v, Cap up) {
            if (v == s) return up;
            Cap res = 0;
            int level_v = level[v];
            for (int& i = iter[v]; i < int(g[v].size()); i++) {
                _edge& e = g[v][i];
                if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0) continue;
                Cap d =
                    self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
                if (d <= 0) continue;
                g[v][i].cap += d;
                g[e.to][e.rev].cap -= d;
                res += d;
                if (res == up) return res;
            }
            level[v] = _n;
            return res;
        };

        Cap flow = 0;
        while (flow < flow_limit) {
            bfs();
            if (level[t] == -1) break;
            std::fill(iter.begin(), iter.end(), 0);
            Cap f = dfs(dfs, t, flow_limit - flow);
            if (!f) break;
            flow += f;
        }
        return flow;
    }

    std::vector<bool> min_cut(int s) {
        std::vector<bool> visited(_n);
        internal::simple_queue<int> que;
        que.push(s);
        while (!que.empty()) {
            int p = que.front();
            que.pop();
            visited[p] = true;
            for (auto e : g[p]) {
                if (e.cap && !visited[e.to]) {
                    visited[e.to] = true;
                    que.push(e.to);
                }
            }
        }
        return visited;
    }

  private:
    int _n;
    struct _edge {
        int to, rev;
        Cap cap;
    };
    std::vector<std::pair<int, int>> pos;
    std::vector<std::vector<_edge>> g;
};

} // namespace noya2

#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp"

#line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp"
#include<ranges>
#line 7 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp"

namespace noya2::internal {

template<class E>
struct csr final {
    csr () {}
    csr (int _n) : n(_n) {}
    csr (int _n, int m) : n(_n){
        start.reserve(m);
        elist.reserve(m);
    }
    // ACL style constructor (do not have to call build)
    csr (int _n, const std::vector<std::pair<int,E>> &idx_elem) : n(_n), start(_n + 2), elist(idx_elem.size()) {
        for (auto &[i, e] : idx_elem){
            start[i + 2]++;
        }
        for (int i = 1; i < n; i++){
            start[i + 2] += start[i + 1];
        }
        for (auto &[i, e] : idx_elem){
            elist[start[i + 1]++] = e;
        }
        prepared = true;
    }
    int add(int idx, E elem){
        int eid = start.size();
        start.emplace_back(idx);
        elist.emplace_back(elem);
        return eid;
    }
    void build(){
        if (prepared) return ;
        int m = start.size();
        std::vector<E> nelist(m);
        std::vector<int> nstart(n + 2, 0);
        for (int i = 0; i < m; i++){
            nstart[start[i] + 2]++;
        }
        for (int i = 1; i < n; i++){
            nstart[i + 2] += nstart[i + 1];
        }
        for (int i = 0; i < m; i++){
            nelist[nstart[start[i] + 1]++] = elist[i];
        }
        swap(elist,nelist);
        swap(start,nstart);
        prepared = true;
    }
    const auto operator[](int idx) const {
        return std::ranges::subrange(elist.begin()+start[idx],elist.begin()+start[idx+1]);
    }
    auto operator[](int idx){
        return std::ranges::subrange(elist.begin()+start[idx],elist.begin()+start[idx+1]);
    }
    const auto operator()(int idx, int l, int r) const {
        return std::ranges::subrange(elist.begin()+start[idx]+l,elist.begin()+start[idx]+r);
    }
    auto operator()(int idx, int l, int r){
        return std::ranges::subrange(elist.begin()+start[idx]+l,elist.begin()+start[idx]+r);
    }
    int n;
    std::vector<int> start;
    std::vector<E> elist;
    bool prepared = false;
};

} // namespace noya2::internal
#line 151 "/Users/noya2/Desktop/Noya2_library/flow/maxflow.hpp"

namespace noya2 {

template<class Cap>
struct maxflow {
    struct edge {
        int from, to;
        Cap cap, flow;
    };
    maxflow() : n(0) {}
    explicit maxflow(int _n) : n(_n), g(n), degree(_n,0) {}

    int add_edge(int from, int to, Cap cap){
        assert(0 <= from && from < n);
        assert(0 <= to && to < n);
        assert(0 <= cap);

        int eid = (int)(pos.size());
        int from_id = degree[from];
        int to_id = degree[to] + (from == to ? 1 : 0);

        g.add(from, _edge{to, to_id, cap});
        degree[from]++;
        g.add(to, _edge{from, from_id, 0});
        degree[to]++;
        pos.emplace_back(from, from_id);

        return eid;
    }

    edge get_edge(int i) {
        auto e = g[pos[i].first][pos[i].second];
        auto re = g[e.to][e.rev];
        return edge{pos[i].first, e.to, e.cap + re.cap, re.cap};
    }

    Cap flow(int s, int t){
        return flow(s, t, std::numeric_limits<Cap>::max());
    }

    Cap flow(int s, int t, Cap flow_limit){
        assert(0 <= s && s < n);
        assert(0 <= t && t < n);
        assert(s != t);
        g.build();

        std::vector<int> level(n), iter(n);
        internal::simple_queue<int> que;

        auto bfs = [&]() {
            std::fill(level.begin(), level.end(), -1);
            level[s] = 0;
            que.clear();
            que.push(s);
            while (!que.empty()){
                int v = que.front(); que.pop();
                for (auto e : g[v]){
                    if (e.cap == 0 || level[e.to] >= 0) continue;
                    level[e.to] = level[v] + 1;
                    if (e.to == t) return ;
                    que.push(e.to);
                }
            }
        };
        auto dfs = [&](auto sfs, int v, Cap up){
            if (v == s) return up;
            Cap res = 0;
            int level_v = level[v];
            for (int &i = iter[v]; i < degree[v]; i++){
                _edge &e = g[v][i];
                if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0) continue;
                Cap d = sfs(sfs, e.to, std::min(up - res, g[e.to][e.rev].cap));
                if (d <= 0) continue;
                g[v][i].cap += d;
                g[e.to][e.rev].cap -= d;
                res += d;
                if (res == up) return res;
            }
            level[v] = n;
            return res;
        };

        Cap flow = 0;
        while (flow < flow_limit){
            bfs();
            if (level[t] == -1) break;
            std::fill(iter.begin(), iter.end(), 0);
            Cap f = dfs(dfs, t, flow_limit - flow);
            if (!f) break;
            flow += f;
        }
        return flow;
    }

    std::vector<bool> min_cut(int s){
        std::vector<bool> visited(n);
        internal::simple_queue<int> que;
        que.push(s);
        visited[s] = true;
        while (!que.empty()){
            int v = que.front(); que.pop();
            for (auto e : g[v]){
                if (e.cap && !visited[e.to]){
                    visited[e.to] = true;
                    que.push(e.to);
                }
            }
        }
        return visited;
    }

  private:
    int n;
    struct _edge {
        int to, rev;
        Cap cap;
    };
    std::vector<std::pair<int, int>> pos;
    internal::csr<_edge> g;
    std::vector<int> degree;
};

} // namespace noya2
#line 4 "/Users/noya2/Desktop/Noya2_library/flow/project_selection.hpp"

#line 6 "/Users/noya2/Desktop/Noya2_library/flow/project_selection.hpp"

namespace noya2 {

template<class Cost>
struct project_selection {
    int n;
    // Costs c0 without any constraints.
    Cost c0;

    // It costs c1[ 2*i + x_i ].
    std::vector<Cost> c1;

    maxflow<Cost> mfg;

    project_selection () {}
    project_selection (int _n) : n(_n), c0(0), c1(_n*2, 0), mfg(n+2) {}

    void cost_total(Cost cost){
        c0 += cost;
    }
    void profit_total(Cost profit){
        c0 -= profit;
    }

    void cost_x0(int x, Cost cost){
        c1[2*x + 0] += cost;
    }
    void cost_x1(int x, Cost cost){
        c1[2*x + 1] += cost;
    }
    void cost_xp(int x, std::array<Cost,2> cost){
        c1[2*x + 0] += cost[0];
        c1[2*x + 1] += cost[1];
    }
    void profit_x0(int x, Cost profit){
        c1[2*x + 0] -= profit;
    }
    void profit_x1(int x, Cost profit){
        c1[2*x + 1] -= profit;
    }
    void profit_xp(int x, std::array<Cost,2> profit){
        c1[2*x + 0] -= profit[0];
        c1[2*x + 1] -= profit[1];
    }

    void cost_x0y1(int x, int y, Cost c){
        assert(c >= 0);
        mfg.add_edge(x, y, c);
    }
    void cost_x1y0(int x, int y, Cost c){
        cost_x0y1(y, x, c);
    }
    void cost_xpyq(int x, int y, std::array<std::array<Cost,2>,2> cost){
        c0 += cost[0][0];
        cost_x1(x, cost[1][0] - cost[0][0]);
        cost_x1(y, cost[1][1] - cost[1][0]);
        cost_x0y1(x, y, cost[1][0] + cost[0][1] - cost[0][0] - cost[1][1]);
    }
    void profit_x0y0(int x, int y, Cost profit){
        profit_total(profit);
        cost_x1(x, profit);
        cost_x0y1(x, y, profit);
    }
    void profit_x1y1(int x, int y, Cost profit){
        profit_x1(y, profit);
        cost_x0y1(x, y, profit);
    }

    Cost min_cost(){
        int s = n, t = n+1;
        for (int x = 0; x < n; x++){
            Cost x0 = c1[2*x + 0];
            Cost x1 = c1[2*x + 1];
            c0 += std::min(x0, x1);
            if (x0 < x1){
                mfg.add_edge(s, x, x1 - x0);
            }
            if (x0 > x1){
                mfg.add_edge(x, t, x0 - x1);
            }
        }
        Cost ans = c0 + mfg.flow(s, t);
        return ans;
    }
    Cost max_profit(){
        return -min_cost();
    }

    std::vector<bool> answer(){
        auto ans = mfg.min_cut(n);
        ans.pop_back(); // pop s
        ans.pop_back(); // pop t
        for (auto &x : ans){
            x = !x;
        }
        return ans;
    }
};

} // namespace noya2
#line 4 "c.cpp"

void solve(){
    int n, m; in(n,m);
    vector<ll> a(n), b(m); in(a,b);
    project_selection<ll> ps(n+m);
    rep(i,m){
        int k; in(k);
        while (k--){
            int x; in(x); x--;
            ps.cost_x0y1(x, n+i, iinf);
        }
        ps.profit_x1(n+i, b[i]);
    }
    rep(i,n){
        ps.cost_x1(i, a[i]);
    }
    out(ps.max_profit());
}

int main(){
    int t = 1; //in(t);
    while (t--) { solve(); }
}
yukicoder

結果

テストケース

ソースコード
