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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
#435397#602. 最小费用最大流(随机数据)iee100 ✓269ms4688kbC++142.4kb2024-06-08 19:59:122024-06-08 19:59:13

Judging History

你现在查看的是最新测评结果

  • [2024-06-08 19:59:13]
  • 评测
  • 测评结果:100
  • 用时:269ms
  • 内存:4688kb
  • [2024-06-08 19:59:12]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long
using namespace std;
namespace mcmf {
constexpr int N = 5005, inf = 1e18;
int n, S, T;
struct edge { int v, f, c, rev; };
vector<edge> e[N];
void add(int u, int v, int f, int c) {
	e[u].push_back({v, f, c, (int) e[v].size()});
	e[v].push_back({u, 0, -c, (int) e[u].size() - 1});
}
bool vis[N];
int dis[N], h[N], level[N];
void spfa() {
	queue<int> q;
	q.push(S);
	for (int i = 1; i <= n; i++) {
		vis[i] = 0;
		h[i] = inf;
	}
	h[S] = 0;
	while (q.size()) {
		int u = q.front();
		q.pop();
		vis[u] = 0;
		for (auto [v, f, c, rev] : e[u]) {
			if (f && h[v] > h[u] + c) {
				h[v] = h[u] + c;
				if (!vis[v]) vis[v] = 1, q.push(v);
			}
		}
	}
}
bool dij() {
	priority_queue<array<int, 2>, vector<array<int, 2>>, greater<>> q;
	for (int i = 1; i <= n; i++) {
		vis[i] = 0;
		dis[i] = inf;
		level[i] = -1;
	}
	q.push({dis[S] = 0, S});
	while (!q.empty()) {
		int u = q.top()[1];
		q.pop();
		if (vis[u]) continue;
		vis[u] = 1;
		for (auto [v, f, c, rev] : e[u]) {
			if (f && dis[v] > dis[u] + c + h[u] - h[v]) {
				q.push({dis[v] = dis[u] + c + h[u] - h[v], v});
			}
		}
	}
	queue<int> Q;
	Q.push(S);
	level[S] = 0;
	while (!Q.empty()) {
		int u = Q.front();
		Q.pop();
		for (auto [v, f, c, rev] : e[u]) {
			if (f && dis[v] == dis[u] + c + h[u] - h[v] && level[v] == -1) {
				level[v] = level[u] + 1;
				Q.push(v);
			}
		}
	}
	return dis[T] != inf;
}
int cur[N];
int dinic(int u, int limit) {
	if (u == T) return limit;
	int flow = 0;
	for (; cur[u] && flow < limit; cur[u]--) {
		auto &[v, f, c, rev] = e[u][cur[u] - 1];
		if (f && h[v] == h[u] + c && level[v] == level[u] + 1) {
			int fl = dinic(v, min(limit - flow, f));
			f -= fl;
			e[v][rev].f += fl;
			flow += fl;
			if (!fl) level[v] = -1;
			if (flow == limit) return flow;
		}
	}
	return flow;
}
pair<int, int> flow() {
	int flow = 0, cost = 0;
	// spfa();
	while (dij()) {
		for (int i = 1; i <= n; i++) {
			h[i] = min(h[i] + dis[i], inf);
			cur[i] = e[i].size();
		}
		int f = dinic(S, inf);
		flow += f;
		cost += f * h[T];
	}
	return {flow, cost};
}
}
signed main() {
	int m;
	cin >> mcmf::n >> m;
	mcmf::S = 1, mcmf::T = mcmf::n;
	for (int i = 1, u, v, f, c; i <= m; i++) {
		cin >> u >> v >> f >> c;
		mcmf::add(u, v, f, c);
	}
	auto [flow, cost] = mcmf::flow();
	cout << flow << " " << cost << "\n";
	return 0;
}

詳細信息

Test #1:

score: 10
Accepted
time: 0ms
memory: 3744kb

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: 3984kb

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: 3772kb

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: 4080kb

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: 33ms
memory: 3960kb

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: 30ms
memory: 3920kb

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: 29ms
memory: 4132kb

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: 183ms
memory: 4688kb

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: 269ms
memory: 4628kb

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: 242ms
memory: 4564kb

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"