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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#473075#602. 最小费用最大流(随机数据)yaoxi_std#100 ✓378ms4104kbC++143.5kb2024-07-11 21:38:332024-07-11 21:38:34

Judging History

你现在查看的是最新测评结果

  • [2024-07-11 21:38:34]
  • 评测
  • 测评结果:100
  • 用时:378ms
  • 内存:4104kb
  • [2024-07-11 21:38:33]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define debug(fmt, ...) \
  fprintf(stderr, "[%d] " fmt "\n", __LINE__, ##__VA_ARGS__)
template <class _Tx, class _Ty>
inline void chkmin(_Tx& x, const _Ty& y) {
  x = min<common_type_t<_Tx, _Ty>>(x, y);
}
template <class _Tx, class _Ty>
inline void chkmax(_Tx& x, const _Ty& y) {
  x = max<common_type_t<_Tx, _Ty>>(x, y);
}
using ll = long long;
using ull = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;
bool Mbe;
template <class _Tp, class _Tc = _Tp>
struct mincostflow {
  int n, s, t;
  struct edge {
    int v, rev;
    _Tp f;
    _Tc w;
  };
  vector<vector<edge>> g;
  mincostflow(int n) {
    this->s = ++n;
    this->t = ++n;
    this->n = ++n;
    g.resize(n);
  }
  mincostflow(int n, int s, int t) {
    this->s = s;
    this->t = t;
    this->n = ++n;
    g.resize(n);
  }
  void add_edge(int u, int v, _Tp f, _Tc w) {
    int idx = g[u].size(), idy = g[v].size();
    g[u].push_back({v, idy, f, w});
    g[v].push_back({u, idx, (_Tp)0, -w});
  }
  pair<_Tp, _Tc> dinic(int s, int t) {
    _Tp ret = 0;
    _Tc cost = 0;
    vector<int> pre;
    vector<_Tp> num;
    vector<_Tc> ht, dis;
    auto spfa = [&]() {
      queue<int> que;
      vector<bool> vis(n);
      ht.assign(n, numeric_limits<_Tc>::max());
      ht[s] = 0, que.emplace(s);
      while (!que.empty()) {
        int u = que.front();
        que.pop(), vis[u] = 0;
        for (auto it : g[u]) {
          if (it.f != 0 && ht[u] + it.w < ht[it.v]) {
            ht[it.v] = ht[u] + it.w;
            if (!vis[it.v]) que.emplace(it.v), vis[it.v] = 1;
          }
        }
      }
    };
    auto dijkstra = [&]() {
      using pdi = pair<_Tc, int>;
      priority_queue<pdi, vector<pdi>, greater<>> pq;
      pre.assign(n, 0);
      num.assign(n, 0);
      dis.assign(n, numeric_limits<_Tc>::max());
      dis[s] = 0;
      num[s] = numeric_limits<_Tp>::max();
      pq.emplace(dis[s], s);
      while (!pq.empty()) {
        _Tc d;
        int u;
        tie(d, u) = pq.top(), pq.pop();
        if (dis[u] < d) continue;
        if (u == t) {
          for (int i = 0; i < n; ++i)
            chkmin(dis[i], dis[t]), ht[i] += dis[i];
          return true;
        }
        for (auto it : g[u]) {
          _Tc w = it.w + ht[u] - ht[it.v];
          if (it.f != 0 && dis[u] + w < dis[it.v]) {
            dis[it.v] = dis[u] + w;
            pre[it.v] = it.rev;
            num[it.v] = min(num[u], it.f);
            pq.emplace(dis[it.v], it.v);
          }
        }
      }
      return false;
    };
    auto update = [&]() {
      ret += num[t];
      for (int u = t; u != s; u = g[u][pre[u]].v) {
        auto& it = g[u][pre[u]];
        it.f += num[t];
        g[it.v][it.rev].f -= num[t];
        cost += g[it.v][it.rev].w * num[t];
      }
    };
    spfa();
    while (dijkstra()) update();
    return make_pair(ret, cost);
  }
  pair<_Tp, _Tc> dinic() {
    return dinic(s, t);
  }
};
bool Med;
int main() {
  // debug("Mem: %.4lfMB.", fabs(&Med - &Mbe) / 1048576);
  cin.tie(0)->sync_with_stdio(0);
  int n, m;
  cin >> n >> m;
  auto flow = mincostflow<int>(n, 1, n);
  while (m--) {
    int u, v, f, w;
    cin >> u >> v >> f >> w;
    flow.add_edge(u, v, f, w);
  }
  auto ans = flow.dinic();
  cout << ans.first << ' ' << ans.second << '\n';
  return 0;
}
/*
g++ -std=c++14 -O2 -o qoj-602 qoj-602.cpp -Wall -Wextra
-Wshadow -fsanitize=address,undefined -g
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 10
Accepted
time: 0ms
memory: 3560kb

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: 3852kb

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: 0ms
memory: 3672kb

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: 3972kb

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: 49ms
memory: 3804kb

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: 49ms
memory: 3800kb

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: 49ms
memory: 3800kb

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: 365ms
memory: 4104kb

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: 378ms
memory: 4044kb

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: 370ms
memory: 4032kb

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"