QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#587058#602. 最小费用最大流(随机数据)xorzj100 ✓995ms5688kbC++173.7kb2024-09-24 17:20:182024-09-24 17:20:19

Judging History

你现在查看的是最新测评结果

  • [2024-09-24 17:20:19]
  • 评测
  • 测评结果:100
  • 用时:995ms
  • 内存:5688kb
  • [2024-09-24 17:20:18]
  • 提交

answer

#include <bits/stdc++.h>
#define rep(a, b, c) for (int a = b; a <= c; a++)
#define ALL(x) (x).begin(), (x).end()
#define IOS cin.tie(0)->sync_with_stdio(false)
#ifdef LOCAL
#include "debug.h"
#else
#define deb(...) 42
#endif
#define OPENSTACK
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> pii;
const int MAXN = 2e5 + 5;
const int INF = 0x3f3f3f3f;
namespace MCF {
    const int N = 1e4 + 5, M = 1e6 + 5;
    struct edge {
        int next, to, w;
        ll c;
    } e[M << 1];
    int n, s, t;
    int head[N], cnt, pre[N];
    ll h[N], dis[N];
    void init(int n_, int s_, int t_)
    {
        s = s_, t = t_, n = n_, cnt = 0;
        for (int i = 0; i < n; i++) head[i] = -1;
    }
    void add_edge(int u, int v, int w, ll c)
    {
        if (c < 0) {
            assert(u <= n && v <= n);
            e[cnt] = edge{ head[u], v, 0,c };
            head[u] = cnt;
            cnt++;
            e[cnt] = edge{ head[v], u, w ,-c };
            head[v] = cnt;
            cnt++;
        }
        else {
            assert(u <= n && v <= n);
            e[cnt] = edge{ head[u], v, w,c };
            head[u] = cnt;
            cnt++;
            e[cnt] = edge{ head[v], u, 0,-c };
            head[v] = cnt;
            cnt++;
        }
    }
    bool dijkstra()
    {
        for (int i = 0; i < n; i++)  dis[i] = numeric_limits<ll>::max(), pre[i] = -1;
        priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>>> q;
        dis[s] = 0;
        q.emplace(0, s);
        while (!q.empty()) {
            auto [d, x] = q.top();
            q.pop();
            if (dis[x] < d) continue;
            for (int i = head[x]; i != -1; i = e[i].next) {
                int y = e[i].to;
                ll c = e[i].c;
                int w = e[i].w;
                if (w > 0 && dis[y] > d + h[x] - h[y] + c) {
                    dis[y] = d + h[x] - h[y] + c;
                    pre[y] = i;
                    q.emplace(dis[y], y);
                }
            }
        }
        return dis[t] != numeric_limits<ll>::max();
        // 最小费用可行流
        // if (dis[t] == numeric_limits<ll>::max() || h[t] + dis[t] >= 0)return false;
        // else return true;

    }

    pair<int, ll> flow()
    {
        int flow = 0;
        ll cost = 0;
        for (int i = 0; i < n; i++)h[i] = 0;
        while (dijkstra()) {
            for (int i = 0; i < n; i++) h[i] += dis[i];
            int aug = numeric_limits<int>::max();
            for (int i = t; i != s; i = e[pre[i] ^ 1].to) aug = min(aug, e[pre[i]].w);
            for (int i = t; i != s; i = e[pre[i] ^ 1].to) {
                e[pre[i]].w -= aug;
                e[pre[i] ^ 1].w += aug;
            }
            flow += aug;
            cost += ll(aug) * h[t];
        }
        return make_pair(flow, cost);
    }
};  // namespace flow
using MCF::add_edge;
using MCF::flow;
using MCF::init;
void solve()
{
    int n, m, s, t;
    cin >> n >> m;
    s = 1, t = n;
    init(t + 1, s, t);
    ll ans = 0;
    for (int i = 0; i < m; i++) {
        int x, y, w, c;
        cin >> x >> y >> w >> c;
        add_edge(x, y, w, c);
    }
    auto [fl, co] = flow();
    cout << fl << " " << co << "\n";
}
signed main()
{
#ifdef LOCAL
#ifdef OPENSTACK
    int size = 128 << 20; // 64MB
    char* p = (char*) malloc(size) + size;
#if (defined _WIN64) or (defined __unix)
    __asm__("movq %0, %%rsp\n" ::"r"(p));
#else
    __asm__("movl %0, %%esp\n" ::"r"(p));
#endif
#endif
#endif
    IOS;
    int _ = 1;
    while (_--) {
        solve();
    }
#ifdef LOCAL
#ifdef OPENSTACK
    exit(0);
#else
    return 0;
#endif
#endif
}

Details

Tip: Click on the bar to expand more detailed information

Pretests


Final Tests

Test #1:

score: 10
Accepted
time: 0ms
memory: 3788kb

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: 3564kb

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: 3640kb

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: 31ms
memory: 3744kb

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: 127ms
memory: 3780kb

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: 127ms
memory: 3808kb

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: 122ms
memory: 5688kb

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: 977ms
memory: 4116kb

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: 995ms
memory: 4112kb

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: 984ms
memory: 4412kb

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"