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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#707285#602. 最小费用最大流(随机数据)becaido100 ✓446ms3952kbC++203.3kb2024-11-03 15:23:192024-11-03 15:23:19

Judging History

你现在查看的是最新测评结果

  • [2024-11-03 15:23:19]
  • 评测
  • 测评结果:100
  • 用时:446ms
  • 内存:3952kb
  • [2024-11-03 15:23:19]
  • 提交

answer

#pragma GCC optimize("O3,unroll-loops")
#include <bits/stdc++.h>
using namespace std;

#ifdef WAIMAI
#define debug(HEHE...) cout << "[" << #HEHE << "] : ", dout(HEHE)
void dout() {cout << '\n';}
template<typename T, typename...U>
void dout(T t, U...u) {cout << t << (sizeof...(u) ? ", " : ""), dout(u...);}
#else
#define debug(...) 7122
#endif

#define ll long long
#define Waimai ios::sync_with_stdio(false), cin.tie(0)
#define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
#define pb emplace_back
#define F first
#define S second

template<typename Cap = int, typename Flow = long long, typename Cost = int, typename Sum = long long>
struct MinCostMaxFlow {
    const static Sum INF = numeric_limits<Sum>::max();
    struct Edge {
        int a, b;
        Cap cap;
        Cost cost;
        Edge() {}
        Edge(int a, int b, Cap cap, Cost cost) : a(a), b(b), cap(cap), cost(cost) {}
    };
    int n, m, s, t;
    Flow flow;
    Sum sum;
    vector<vector<int>> adj;
    vector<Edge> e;
    vector<Sum> dis;
    vector<int> pre, inq;
    MinCostMaxFlow() {}
    MinCostMaxFlow(int n, int s, int t) : n(n), s(s), t(t) {
        m = flow = sum = 0;
        adj = vector<vector<int>>(n + 1, vector<int>());
        e.clear();
        dis = vector<Sum>(n + 1, 0);
        pre = inq = vector<int>(n + 1, 0);
    }
    void add(int a, int b, Cap cap, Cost cost) {
        e.emplace_back(a, b, cap, cost);
        e.emplace_back(b, a, 0, -cost);
        adj[a].emplace_back(m++);
        adj[b].emplace_back(m++);
    }
    void spfa() {
        fill(inq.begin(), inq.end(), 0);
        fill(pre.begin(), pre.end(), 0);
        for (auto &x : dis) x = INF;
        queue<int> q;
        dis[s] = 0;
        q.push(s);
        while (q.size()) {
            int pos = q.front();
            q.pop();
            inq[pos] = 0;
            for (int id : adj[pos]) {
                auto &[a, b, cap, cost] = e[id];
                if (cap > 0 && dis[pos] + cost < dis[b]) {
                    dis[b] = dis[pos] + cost;
                    pre[b] = id;
                    if (inq[b] == 0) {
                        inq[b] = 1;
                        q.push(b);
                    }
                }
            }
        }
    }
    void work(Flow lim = numeric_limits<Flow>::max()) {
        while (flow < lim) {
            spfa();
            if (dis[t] == INF) {
                break;
            }
            Cap mn = min((Flow) numeric_limits<Cap>::max(), lim - flow);
            int pos = t;
            while (pos != s) {
                int id = pre[pos];
                mn = min(mn, e[id].cap);
                pos = e[id].a;
            }
            flow += mn;
            sum += dis[t] * mn;
            pos = t;
            while (pos != s) {
                int id = pre[pos];
                e[id].cap -= mn;
                e[id ^ 1].cap += mn;
                pos = e[id].a;
            }
        }
    }
};

int n, m;

void solve() {
    cin >> n >> m;
    MinCostMaxFlow<int, int, int, int> g(n, 1, n);
    while (m--) {
        int s, t, c, w;
        cin >> s >> t >> c >> w;
        g.add(s, t, c, w);
    }
    g.work();
    cout << g.flow << ' ' << g.sum << '\n';
}

int main() {
    Waimai;
    solve();
}

詳細信息


Pretests


Final Tests

Test #1:

score: 10
Accepted
time: 0ms
memory: 3536kb

input:

8 27
2 3 2147483647 100
1 3 1 100
2 4 2147483647 10
1 4 1 10
2 4 2147483647 10
1 4 1 10
2 8 3 0
3 5 2147483647 100
1 5 1 100
3 8 1 0
3 2 2147483647 0
4 5 2147483647 10
1 5 1 10
4 8 1 0
4 2 2147483647 0
5 6 2147483647 1
1 6 1 1
5 6 2147483647 1
1 6 1 1
5 7 2147483647 1
1 7 1 1
5 8 3 0
5 2 2147483647 ...

output:

8 243

result:

ok 2 number(s): "8 243"

Test #2:

score: 10
Accepted
time: 0ms
memory: 3552kb

input:

12 49
2 10 2147483647 5
1 10 1 5
2 5 2147483647 50
1 5 1 50
2 9 2147483647 8
1 9 1 8
2 8 2147483647 47
1 8 1 47
2 11 2147483647 17
1 11 1 17
2 12 5 0
3 12 0 0
3 2 2147483647 0
4 6 2147483647 18
1 6 1 18
4 11 2147483647 12
1 11 1 12
4 9 2147483647 14
1 9 1 14
4 12 3 0
4 2 2147483647 0
5 11 2147483647...

output:

15 436

result:

ok 2 number(s): "15 436"

Test #3:

score: 10
Accepted
time: 1ms
memory: 3632kb

input:

27 169
2 15 2147483647 24
1 15 1 24
2 19 2147483647 96
1 19 1 96
2 12 2147483647 49
1 12 1 49
2 13 2147483647 75
1 13 1 75
2 24 2147483647 2
1 24 1 2
2 27 5 0
3 27 0 0
3 2 2147483647 0
4 11 2147483647 99
1 11 1 99
4 3 2147483647 85
1 3 1 85
4 27 2 0
4 2 2147483647 0
5 27 0 0
5 2 2147483647 0
6 9 214...

output:

60 4338

result:

ok 2 number(s): "60 4338"

Test #4:

score: 10
Accepted
time: 10ms
memory: 3768kb

input:

77 2149
2 42 2147483647 33
1 42 1 33
2 68 2147483647 30
1 68 1 30
2 76 2147483647 13
1 76 1 13
2 51 2147483647 93
1 51 1 93
2 12 2147483647 39
1 12 1 39
2 57 2147483647 74
1 57 1 74
2 70 2147483647 21
1 70 1 21
2 73 2147483647 24
1 73 1 24
2 52 2147483647 54
1 52 1 54
2 15 2147483647 99
1 15 1 99
2 ...

output:

1000 74606

result:

ok 2 number(s): "1000 74606"

Test #5:

score: 10
Accepted
time: 39ms
memory: 3752kb

input:

102 4199
2 48 2147483647 42
1 48 1 42
2 85 2147483647 50
1 85 1 50
2 22 2147483647 83
1 22 1 83
2 95 2147483647 97
1 95 1 97
2 82 2147483647 34
1 82 1 34
2 25 2147483647 72
1 25 1 72
2 4 2147483647 17
1 4 1 17
2 47 2147483647 10
1 47 1 10
2 71 2147483647 12
1 71 1 12
2 68 2147483647 39
1 68 1 39
2 2...

output:

2000 161420

result:

ok 2 number(s): "2000 161420"

Test #6:

score: 10
Accepted
time: 41ms
memory: 3780kb

input:

102 4199
2 79 2147483647 13
1 79 1 13
2 83 2147483647 73
1 83 1 73
2 75 2147483647 90
1 75 1 90
2 30 2147483647 92
1 30 1 92
2 54 2147483647 25
1 54 1 25
2 66 2147483647 53
1 66 1 53
2 52 2147483647 37
1 52 1 37
2 63 2147483647 46
1 63 1 46
2 11 2147483647 20
1 11 1 20
2 55 2147483647 53
1 55 1 53
2...

output:

2000 143072

result:

ok 2 number(s): "2000 143072"

Test #7:

score: 10
Accepted
time: 39ms
memory: 3816kb

input:

102 4199
2 39 2147483647 45
1 39 1 45
2 51 2147483647 11
1 51 1 11
2 86 2147483647 63
1 86 1 63
2 23 2147483647 46
1 23 1 46
2 48 2147483647 63
1 48 1 63
2 87 2147483647 8
1 87 1 8
2 73 2147483647 63
1 73 1 63
2 5 2147483647 52
1 5 1 52
2 80 2147483647 21
1 80 1 21
2 31 2147483647 44
1 31 1 44
2 101...

output:

2000 146132

result:

ok 2 number(s): "2000 146132"

Test #8:

score: 10
Accepted
time: 390ms
memory: 3876kb

input:

302 10599
2 72 2147483647 169
1 72 1 169
2 260 2147483647 165
1 260 1 165
2 12 2147483647 108
1 12 1 108
2 16 2147483647 26
1 16 1 26
2 28 2147483647 148
1 28 1 148
2 7 2147483647 74
1 7 1 74
2 139 2147483647 199
1 139 1 199
2 231 2147483647 9
1 231 1 9
2 287 2147483647 123
1 287 1 123
2 135 2147483...

output:

5000 1106316

result:

ok 2 number(s): "5000 1106316"

Test #9:

score: 10
Accepted
time: 446ms
memory: 3952kb

input:

302 10599
2 222 2147483647 132
1 222 1 132
2 17 2147483647 7
1 17 1 7
2 177 2147483647 253
1 177 1 253
2 90 2147483647 195
1 90 1 195
2 128 2147483647 289
1 128 1 289
2 42 2147483647 193
1 42 1 193
2 213 2147483647 133
1 213 1 133
2 263 2147483647 293
1 263 1 293
2 50 2147483647 155
1 50 1 155
2 228...

output:

5000 1290871

result:

ok 2 number(s): "5000 1290871"

Test #10:

score: 10
Accepted
time: 411ms
memory: 3796kb

input:

302 10599
2 176 2147483647 289
1 176 1 289
2 190 2147483647 99
1 190 1 99
2 10 2147483647 96
1 10 1 96
2 240 2147483647 165
1 240 1 165
2 273 2147483647 205
1 273 1 205
2 248 2147483647 194
1 248 1 194
2 220 2147483647 122
1 220 1 122
2 194 2147483647 167
1 194 1 167
2 8 2147483647 67
1 8 1 67
2 227...

output:

5000 1395897

result:

ok 2 number(s): "5000 1395897"