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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
#545475#602. 最小费用最大流(随机数据)gogo11100 ✓755ms4248kbC++204.3kb2024-09-03 13:36:202024-09-03 13:36:20

Judging History

你现在查看的是最新测评结果

  • [2024-09-03 13:36:20]
  • 评测
  • 测评结果:100
  • 用时:755ms
  • 内存:4248kb
  • [2024-09-03 13:36:20]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
#define all(x) x.begin(),x.end()
constexpr int N = 3e5 + 5;
constexpr int M = 2e5 + 5;
constexpr int INF = 0x3f3f3f3f;
constexpr ll LNF = 0x3f3f3f3f3f3f3f3f;
constexpr ll Mod = 998244353;
constexpr ll Base = 131;
constexpr int MAXBIT = 30;
constexpr double eps = 1e-9;
template<class T>
struct MinCostFlow {
    struct _Edge {
        int to;
        T cap;
        T cost;
        _Edge(int to_, T cap_, T cost_) : to(to_), cap(cap_), cost(cost_) {}
    };
    int n;
    vector<_Edge> e;
    vector<vector<int>> g;
    vector<T> h, dis;
    vector<int> pre;
    bool dijkstra(int s, int t) {
        dis.assign(n+1, numeric_limits<T>::max());
        pre.assign(n+1, -1);
        priority_queue<pair<T, int>, vector<pair<T, int>>, greater<pair<T, int>>> q;
        dis[s] = 0;
        q.emplace(0, s);
        while(!q.empty()) {
            T d = q.top().first;
            int u = q.top().second;
            q.pop();
            if(dis[u] != d) {
                continue;
            }
            for(int i : g[u]) {
                int v = e[i].to;
                T cap = e[i].cap;
                T cost = e[i].cost;
                if(cap > 0 && dis[v] > d + h[u] - h[v] + cost) {
                    dis[v] = d + h[u] - h[v] + cost;
                    pre[v] = i;
                    q.emplace(dis[v], v);
                }
            }
        }
        return dis[t] != numeric_limits<T>::max();
    }
    bool spfa(int s, int t) {
        dis.assign(n+1, numeric_limits<T>::max());
        pre.assign(n+1, -1);
        queue<int> q;
        dis[s] = 0;
        q.push(s);
        while(!q.empty())
        {
            int u=q.front();
            q.pop();
            for(int i : g[u]) {
                int v = e[i].to;
                T cap = e[i].cap;
                T cost = e[i].cost;
                if(cap > 0 && dis[v] > dis[u] + cost) {
                    dis[v] = dis[u] + cost;
                    pre[v] = i;
                    q.push(v);
                }
            }
        }
        return dis[t] != numeric_limits<T>::max();
    }
    MinCostFlow() {}
    MinCostFlow(int n_) {
        init(n_);
    }
    void init(int n_) {
        n = n_;
        e.clear();
        g.assign(n+1, {});
    }
    void addEdge(int u, int v, T cap, T cost) {
        g[u].push_back(e.size());
        e.emplace_back(v, cap, cost);
        g[v].push_back(e.size());
        e.emplace_back(u, 0, -cost);
    }
    pair<T, T> flow(int s, int t) {
        T flow = 0;
        T cost = 0;
        h.assign(n+1, 0);
        for(bool flag=0;flag?dijkstra(s,t):(flag=1,dijkstra(s,t));) {
            for(int i = 1; i <= n; ++i) {
                h[i] += dis[i];
            }
            T aug = numeric_limits<int>::max();
            for(int i = t; i != s; i = e[pre[i] ^ 1].to) {
                aug = min(aug, e[pre[i]].cap);
            }
            for(int i = t; i != s; i = e[pre[i] ^ 1].to) {
                cost += e[pre[i]].cost * aug;
                e[pre[i]].cap -= aug;
                e[pre[i] ^ 1].cap += aug;
            }
            flow += aug;
            // cost += aug * h[t];
        }
        return make_pair(flow, cost);
    }
    struct Edge {
        int from;
        int to;
        T cap;
        T cost;
        T flow;
    };
    vector<Edge> edges() {
        vector<Edge> a;
        for(int i = 0; i < e.size(); i += 2) {
            Edge x;
            x.from = e[i + 1].to;
            x.to = e[i].to;
            x.cap = e[i].cap + e[i + 1].cap;
            x.cost = e[i].cost;
            x.flow = e[i + 1].cap;
            a.push_back(x);
        }
        return a;
    }
};
using Flow = MinCostFlow<long long>;
void solve()
{
    int n,m,s,t;
    cin>>n>>m,s=1,t=n;
    Flow fw(n);
    for(int i=1;i<=m;i++)
    {
        int u,v,w,c;
        cin>>u>>v>>w>>c;
        fw.addEdge(u,v,w,c);
    }
    auto [flow,cost]=fw.flow(s,t);
    cout<<flow<<" "<<cost<<"\n";
}
int main()
{
    ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);
    int _ = 1;
    // cin >> _;
    while(_--)
        solve();
    return 0;
}

詳細信息


Pretests


Final Tests

Test #1:

score: 10
Accepted
time: 0ms
memory: 3556kb

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: 3556kb

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: 27ms
memory: 3772kb

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: 91ms
memory: 3728kb

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: 93ms
memory: 3772kb

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: 91ms
memory: 3728kb

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: 724ms
memory: 4088kb

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: 755ms
memory: 4248kb

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: 727ms
memory: 4116kb

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"