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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#921440#602. 最小费用最大流(随机数据)Error_Yuan#100 ✓999ms4224kbC++262.0kb2025-02-28 22:32:092025-02-28 22:32:11

Judging History

This is the latest submission verdict.

  • [2025-02-28 22:32:11]
  • Judged
  • Verdict: 100
  • Time: 999ms
  • Memory: 4224kb
  • [2025-02-28 22:32:09]
  • Submitted

answer

// Problem: P3381 【模板】最小费用最大流
// Contest: Luogu
// URL: https://www.luogu.com.cn/problem/P3381
// Memory Limit: 128 MB
// Time Limit: 1000 ms
// 
// Powered by CP Editor (https://cpeditor.org)

#include <bits/stdc++.h>
#define all(s) s.begin(), s.end()
using namespace std;
using ll = long long;
using ull = unsigned long long;

const int _N = 5e3 + 5;
const int _M = 5e4 + 5;

int T;

namespace flows {
	struct Edge {
		int to, nxt;
		ll cap, w;
	} e[_M << 1];
	int cnt = 1, head[_N];
	void add_edge(int u, int v, ll c, ll w) {
		e[++cnt].nxt = head[u];
		e[cnt].to = v;
		e[cnt].cap = c;
		e[cnt].w = w;
		head[u] = cnt;
	}
	void add(int u, int v, ll c, ll w) {
		add_edge(u, v, c, w);
		add_edge(v, u, 0, -w);
	}
	ll dis[_N], inc[_N], pre[_N];
	int vis[_N];
	bool spfa(int s, int t) {
		memset(dis, 0x3f, sizeof(dis));
		queue<int> q;
		q.push(s); dis[s] = 0; inc[s] = LLONG_MAX / 2; inc[t] = 0;
		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; ll w = e[i].w;
				if (e[i].cap && dis[v] > dis[u] + w) {
					dis[v] = dis[u] + w;
					inc[v] = min(e[i].cap, inc[u]); pre[v] = i;
					if (!vis[v]) {
						vis[v] = 1;
						q.push(v);
					}
				}
			}
		}
		return inc[t];
	}
	pair<ll, ll> mincost(int s, int t) {
		ll mf = 0, mc = 0;
		while (spfa(s, t)) {
			mf += inc[t];
			for (int u = t; u != s; u = e[pre[u] ^ 1].to) {
				e[pre[u]].cap -= inc[t];
				e[pre[u] ^ 1].cap += inc[t];
				mc += inc[t] * e[pre[u]].w;
			}
		}
		return {mf, mc};
	}
};

void solve() {
	int n, m; cin >> n >> m;
	for (int i = 1; i <= m; i++) {
		int u, v; ll c, w; cin >> u >> v >> c >> w;
		flows::add(u, v, c, w);
	}
	auto res = flows::mincost(1, n);
	cout << res.first << ' ' << res.second << '\n';
	return;
}

int main() {
	ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
	// cin >> T;
	T = 1;
	while (T--) {
		solve();
	}
}

Details

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Pretests


Final Tests

Test #1:

score: 10
Accepted
time: 1ms
memory: 3712kb

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: 1ms
memory: 3712kb

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: 3712kb

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: 25ms
memory: 3840kb

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: 116ms
memory: 3840kb

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: 114ms
memory: 3840kb

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: 111ms
memory: 3840kb

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: 898ms
memory: 4224kb

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: 999ms
memory: 4224kb

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: 931ms
memory: 4096kb

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"