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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
#620947#602. 最小费用最大流(随机数据)TJUHuangTao100 ✓1140ms6068kbC++202.5kb2024-10-07 22:35:052024-10-07 22:35:05

Judging History

你现在查看的是最新测评结果

  • [2024-10-07 22:35:05]
  • 评测
  • 测评结果:100
  • 用时:1140ms
  • 内存:6068kb
  • [2024-10-07 22:35:05]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long
#define inf 0x3f3f3f3f
#define ll long long
#define pii pair<int, int>
#define tii tuple<int, int, int>
#define db double
#define all(a) a.begin(), a.end()
using namespace std;
const int mod = 998244353;
const int maxn = 4e2 + 10;
const int maxm = 5e4 + 10;
int S, T, DIS[maxn], PRE[maxn], LST[maxn], FLOW[maxn], VIS[maxn];
int maxFLOW, minCOST;  // 需要的最大流、最小费用
struct Node {
    int to, nxt;
    int FLOW, DIS;  // FLOW流量,DIS花费
} E[maxm << 1];
int CNT = 1, HEAD[maxn];
void add(int u, int v, int FLOW, int DIS) {  // 建反向边,花费也是相反数
    E[++CNT].to = v;
    E[CNT].FLOW = FLOW;
    E[CNT].nxt = HEAD[u];
    E[CNT].DIS = DIS;
    HEAD[u] = CNT;
    E[++CNT].to = u;
    E[CNT].FLOW = 0;
    E[CNT].nxt = HEAD[v];
    E[CNT].DIS = -DIS;
    HEAD[v] = CNT;
}
int spfa() {
    // 注意这里的清空是所有点,包括s和t
    for (int i = 1; i <= T; i++)
        DIS[i] = inf, FLOW[i] = inf, VIS[i] = 0;
    queue<int> q;
    q.push(S);
    VIS[S] = 1;
    DIS[S] = 0;
    PRE[T] = -1;
    while (!q.empty()) {
        int u = q.front();
        q.pop();
        VIS[u] = 0;
        for (int i = HEAD[u]; i; i = E[i].nxt) {
            int v = E[i].to;
            if (E[i].FLOW > 0 && DIS[v] > DIS[u] + E[i].DIS) {
                DIS[v] = DIS[u] + E[i].DIS;
                PRE[v] = u;
                LST[v] = i;
                FLOW[v] = min(FLOW[u], E[i].FLOW);
                if (!VIS[v]) {
                    VIS[v] = 1;
                    q.push(v);
                }
            }
        }
    }
    return PRE[T] != -1;
}
void MCMF() {  // min cost max FLOW
    while (spfa()) {
        int now = T;
        maxFLOW += FLOW[T];
        minCOST += FLOW[T] * DIS[T];
        while (now != S) {
            E[LST[now]].FLOW -= FLOW[T];
            E[LST[now] ^ 1].FLOW += FLOW[T];
            now = PRE[now];
        }
    }
}
void solve() {
    int n, m; cin >> n >> m;
    S = 1, T = n;
    for (int i = 1; i <= m; i++) {
        int u, v, c, w;
        cin >> u >> v >> c >> w;
        add(u, v, c, w);
    }
    MCMF();
    cout << maxFLOW << " " << minCOST << "\n";
}
signed main() {
    // freopen("1.in", "r", stdin);
    // freopen("1.out", "w", stdout);
    ios::sync_with_stdio(false);
    cin.tie(0), cout.tie(0);
    int t = 1;
    // cin >> t;
    while (t--)
        solve();
    return 0;
}

详细


Pretests


Final Tests

Test #1:

score: 10
Accepted
time: 0ms
memory: 3848kb

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: 3652kb

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: 3888kb

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: 28ms
memory: 3780kb

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: 4148kb

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: 128ms
memory: 4140kb

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: 127ms
memory: 5840kb

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: 963ms
memory: 6068kb

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: 1140ms
memory: 4344kb

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: 1063ms
memory: 4308kb

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"