結果

問題 No.1301 Strange Graph Shortest Path
ユーザー satashunsatashun
提出日時 2023-08-08 23:18:42
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 153 ms / 3,000 ms
コード長 10,464 bytes
コンパイル時間 2,235 ms
コンパイル使用メモリ 211,960 KB
最終ジャッジ日時 2025-02-16 00:13:04
ジャッジサーバーID
（参考情報） 		judge5 / 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 * 33
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 # 

#pragma region satashun
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;

using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
template <class T>
using V = vector<T>;
template <class T>
using VV = V<V<T>>;

template <class T>
V<T> make_vec(size_t a) {
    return V<T>(a);
}

template <class T, class... Ts>
auto make_vec(size_t a, Ts... ts) {
    return V<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}

template <typename T, typename V>
void fill_vec(T& v, const V& val) {
    v = val;
}

template <typename T, typename V>
void fill_vec(vector<T>& vec, const V& val) {
    for (auto& v : vec) fill_vec(v, val);
}

#define pb push_back
#define eb emplace_back
#define mp make_pair
#define fi first
#define se second
#define rep(i, n) rep2(i, 0, n)
#define rep2(i, m, n) for (int i = m; i < (n); i++)
#define per(i, b) per2(i, 0, b)
#define per2(i, a, b) for (int i = int(b) - 1; i >= int(a); i--)
#define ALL(c) (c).begin(), (c).end()
#define SZ(x) ((int)(x).size())

constexpr ll TEN(int n) { return (n == 0) ? 1 : 10 * TEN(n - 1); }

template <class T, class U>
void chmin(T& t, const U& u) {
    if (t > u) t = u;
}
template <class T, class U>
void chmax(T& t, const U& u) {
    if (t < u) t = u;
}

template <typename T>
int arglb(const V<T>& v, const T& x) {
    return distance(v.begin(), lower_bound(ALL(v), x));
}

template <typename T>
int argub(const V<T>& v, const T& x) {
    return distance(v.begin(), upper_bound(ALL(v), x));
}

template <class T>
void mkuni(vector<T>& v) {
    sort(ALL(v));
    v.erase(unique(ALL(v)), end(v));
}

template <class T>
vector<int> sort_by(const vector<T>& v, bool increasing = true) {
    vector<int> res(v.size());
    iota(res.begin(), res.end(), 0);

    if (increasing) {
        stable_sort(res.begin(), res.end(),
                    [&](int i, int j) { return v[i] < v[j]; });
    } else {
        stable_sort(res.begin(), res.end(),
                    [&](int i, int j) { return v[i] > v[j]; });
    }
    return res;
}

// prototype
template <class T, class U>
ostream& operator<<(ostream& os, const pair<T, U>& p);

template <class T>
ostream& operator<<(ostream& os, const vector<T>& v);

template <class T>
istream& operator>>(istream& is, vector<T>& v);

template <class T, size_t sz>
ostream& operator<<(ostream& os, const array<T, sz>& arr);

template <class T>
ostream& operator<<(ostream& os, const set<T>& ST);

template <class T>
ostream& operator<<(ostream& os, const multiset<T>& ST);

template <class T, class U>
ostream& operator<<(ostream& os, const map<T, U>& MP);

ostream& operator<<(ostream& o, __int128_t x);

// io functions
template <class T, class U>
istream& operator>>(istream& is, pair<T, U>& p) {
    is >> p.first >> p.second;
    return is;
}

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

template <class T>
istream& operator>>(istream& is, vector<T>& v) {
    for (auto& x : v) {
        is >> x;
    }
    return is;
}

template <class T>
ostream& operator<<(ostream& os, const vector<T>& v) {
    os << "{";
    rep(i, v.size()) {
        if (i) os << ",";
        os << v[i];
    }
    os << "}";
    return os;
}

template <class T, size_t sz>
ostream& operator<<(ostream& os, const array<T, sz>& arr) {
    os << '[';
    for (auto v : arr) os << v << ',';
    os << ']';
    return os;
}

template <class T>
ostream& operator<<(ostream& os, const set<T>& ST) {
    os << "{";
    for (auto it = ST.begin(); it != ST.end(); ++it) {
        if (it != ST.begin()) os << ",";
        os << *it;
    }
    os << "}";
    return os;
}

template <class T>
ostream& operator<<(ostream& os, const multiset<T>& ST) {
    os << "{";
    for (auto it = ST.begin(); it != ST.end(); ++it) {
        if (it != ST.begin()) os << ",";
        os << *it;
    }
    os << "}";
    return os;
}

template <class T, class U>
ostream& operator<<(ostream& os, const map<T, U>& MP) {
    for (auto it = MP.begin(); it != MP.end(); ++it) {
        os << "(" << it->first << ": " << it->second << ")";
    }
    return os;
}

string to_string(__int128_t x) {
    if (x == 0) return "0";
    string result;
    if (x < 0) {
        result += "-";
        x *= -1;
    }
    string t;
    while (x) {
        t.push_back('0' + x % 10);
        x /= 10;
    }
    reverse(t.begin(), t.end());
    return result + t;
}

ostream& operator<<(ostream& o, __int128_t x) { return o << to_string(x); }

#ifdef LOCAL
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << " " << H;
    debug_out(T...);
}
#define debug(...) \
    cerr << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif

template <class T>
V<T>& operator+=(V<T>& vec, const T& v) {
    for (auto& x : vec) x += v;
    return vec;
}

template <class T>
V<T>& operator-=(V<T>& vec, const T& v) {
    for (auto& x : vec) x -= v;
    return vec;
}

// suc : 1 = newline, 2 = space
template <class T>
void print(T x, int suc = 1) {
    cout << x;
    if (suc == 1)
        cout << "\n";
    else if (suc == 2)
        cout << " ";
}

template <class T>
void print(const vector<T>& v, int suc = 1) {
    for (int i = 0; i < v.size(); ++i)
        print(v[i], i == int(v.size()) - 1 ? suc : 2);
}

template <class T>
void show(T x) {
    print(x, 1);
}

template <typename Head, typename... Tail>
void show(Head H, Tail... T) {
    print(H, 2);
    show(T...);
}

int topbit(int t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(ll t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int botbit(int a) { return a == 0 ? 32 : __builtin_ctz(a); }
int botbit(ll a) { return a == 0 ? 64 : __builtin_ctzll(a); }
int popcount(int t) { return __builtin_popcount(t); }
int popcount(ll t) { return __builtin_popcountll(t); }
int bit_parity(int t) { return __builtin_parity(t); }
int bit_parity(ll t) { return __builtin_parityll(t); }

struct prepare_io {
    prepare_io() {
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(10);
    }
} prep_io;
#pragma endregion satashun

// init_dag : yuki 1678, ABC214H

template <class C, class D>  // capacity, distance
struct MinCostFlow {
    struct edge {
        int to, rev;
        C cap;
        D cost;
        edge(int to, C cap, D cost, int rev)
            : to(to), cap(cap), cost(cost), rev(rev){};
    };

    using E = edge;

    const D INF = numeric_limits<D>::max() / D(3);

    int n;
    VV<E> g;
    V<D> h, dst;
    V<int> prevv, preve;

    MinCostFlow(int n) : n(n), g(n), h(n), dst(n), prevv(n), preve(n) {}

    void add_edge(int f, int t, C cap, D cost) {
        g[f].emplace_back(t, cap, cost, (int)g[t].size());
        g[t].emplace_back(f, 0, -cost, (int)g[f].size() - 1);
    }

    void init_dag(int s) {
        fill(h.begin(), h.end(), INF);
        h[s] = 0;

        V<int> vis(n);
        // topological sort
        V<int> vs;

        auto topo = [&](auto&& f, int v) -> void {
            vis[v] = 1;
            for (auto& e : g[v]) {
                if (e.cap > 0 && !vis[e.to]) {
                    f(f, e.to);
                }
            }
            vs.pb(v);
        };

        for (int i = 0; i < n; ++i) {
            if (!vis[i]) topo(topo, i);
        }

        reverse(vs.begin(), vs.end());
        for (int v : vs) {
            if (h[v] == INF) continue;
            for (auto& e : g[v]) {
                if (e.cap > 0) {
                    chmin(h[e.to], h[v] + e.cost);
                }
            }
        }
    }

    // true : no negative cycle
    bool init_negative(int s) {
        fill(h.begin(), h.end(), INF);
        h[s] = 0;
        for (int t = 0; t <= n; ++t) {
            for (int i = 0; i < n; ++i) {
                for (auto e : g[i]) {
                    if (!e.cap) continue;
                    if (h[e.to] > h[i] + e.cost && t == n) {
                        return false;
                    }
                    h[e.to] = min(h[e.to], h[i] + e.cost);
                }
            }
        }
        return true;
    }

    D exec(int s, int t, C f, bool full = false) {
        if (full) f = INF;
        D res = 0;
        using Data = pair<D, int>;
        while (f > 0) {
            priority_queue<Data, vector<Data>, greater<Data>> que;
            fill(dst.begin(), dst.end(), INF);
            dst[s] = 0;
            que.push(Data(0, s));

            while (!que.empty()) {
                auto p = que.top();
                que.pop();
                int v = p.second;
                if (dst[v] < p.first) continue;

                rep(i, g[v].size()) {
                    auto e = g[v][i];
                    D nd = dst[v] + e.cost + h[v] - h[e.to];
                    if (e.cap > 0 && dst[e.to] > nd) {
                        dst[e.to] = nd;
                        prevv[e.to] = v;
                        preve[e.to] = i;
                        que.push(Data(dst[e.to], e.to));
                    }
                }
            }

            if (dst[t] == INF) {
                if (full) {
                    return res;
                } else {
                    return D(-INF);
                }
            }
            rep(i, n) if (dst[i] != INF) h[i] += dst[i];

            C d = f;
            for (int v = t; v != s; v = prevv[v]) {
                d = min(d, g[prevv[v]][preve[v]].cap);
            }
            f -= d;
            res += d * h[t];
            for (int v = t; v != s; v = prevv[v]) {
                edge& e = g[prevv[v]][preve[v]];
                e.cap -= d;
                g[v][e.rev].cap += d;
            }
        }

        return res;
    }
};

void slv() {
    // input
    int N, M;
    cin >> N >> M;
    MinCostFlow<int, ll> g(N);
    rep(i, M) {
        int u, v, c, d;
        cin >> u >> v >> c >> d;
        --u, --v;
        g.add_edge(u, v, 1, c);
        g.add_edge(u, v, 1, d);
        g.add_edge(v, u, 1, c);
        g.add_edge(v, u, 1, d);
    }

    // solve

    ll ans = g.exec(0, N - 1, 2);
    show(ans);
}

int main() {
    int cases = 1;
    // cin >> cases;
    rep(i, cases) slv();

    return 0;
}
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