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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#342657#602. 最小费用最大流(随机数据)yhk1001#100 ✓726ms4304kbC++142.2kb2024-03-01 14:29:482024-03-01 14:29:50

Judging History

你现在查看的是最新测评结果

  • [2024-03-01 14:29:50]
  • 评测
  • 测评结果:100
  • 用时:726ms
  • 内存:4304kb
  • [2024-03-01 14:29:48]
  • 提交

answer

#include <cstdio>
#include <iostream>
#include <algorithm>
#include <queue>
using namespace std;

// #define Debug
// #define LOCAL

const int N = 400, M = 15000, E = M << 1;
const long long Inf = 1e12;

int n, m;

int head[N + 5], to[E + 5], nxt[E + 5], tot = 1;
long long fl[E + 5], co[E + 5];

void add_edge(int u, int v, long long flow, long long cost)
{
	tot++;
	to[tot] = v;
	nxt[tot] = head[u];
	fl[tot] = flow;
	co[tot] = cost;
	head[u] = tot;
	return ;
}
void add(int u, int v, long long flow, long long cost)
{
	add_edge(u, v, flow, cost);
	add_edge(v, u, 0, -cost);
	return ;
}

long long dis[N + 5];
int cur[N + 5];
int vis[N + 5];

long long Flow, Cost;

bool spfa()
{
	for (int i = 1; i <= n; i++)
	{
		dis[i] = Inf;
		cur[i] = head[i];
		vis[i] = 0;
	}
	dis[1] = 0;

	queue<int> q;
	q.push(1);
	vis[1] = 1;

	while (!q.empty())
	{
		int u = q.front();
		q.pop();
		vis[u] = 0;

		for (int i = head[u]; i; i = nxt[i])
		{
			int v = to[i];
			if (fl[i] <= 0 || dis[v] <= dis[u] + co[i])
				continue;

			dis[v] = dis[u] + co[i];
			if (!vis[v])
			{
				vis[v] = 1;
				q.push(v);
			}
		}
	}

	return dis[n] < Inf;
}
long long dfs(int u, long long flow)
{
	vis[u] = 1;
	if (u == n)
	{
		Flow += flow;
		return flow;
	}

	long long used = 0;
	for (int i = cur[u]; i; i = nxt[i])
	{
		cur[u] = i;

		int v = to[i];
		if (fl[i] <= 0 || dis[v] != dis[u] + co[i])
			continue;
		if (vis[v] && v != n)
			continue;

		long long delta = dfs(v, min(fl[i], flow - used));
		Cost += delta * co[i];
		fl[i] -= delta;
		fl[i ^ 1] += delta;
		used += delta;

		if (used == flow)
			break;
	}
	return used;
}
void Dinic()
{
	while (spfa())
	{
		vis[n] = 1;
		while (vis[n])
		{
			for (int i = 1; i <= n; i++)
				vis[i] = 0;
			dfs(1, Inf);
		}
	}
	return ;
}

int main()
{
	#ifdef LOCAL
	freopen("data.in", "r", stdin);
	freopen("mycode.out", "w", stdout);
	#endif

	scanf("%d%d", &n, &m);
	for (int i = 1, u, v, flow, cost; i <= m; i++)
	{
		scanf("%d%d%d%d", &u, &v, &flow, &cost);
		add(u, v, flow, cost);
	}

	Dinic();
	printf("%lld %lld\n", Flow, Cost);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 10
Accepted
time: 0ms
memory: 4092kb

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: 3796kb

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: 4044kb

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: 18ms
memory: 4192kb

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: 84ms
memory: 4000kb

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: 81ms
memory: 4240kb

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: 78ms
memory: 4004kb

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: 626ms
memory: 4304kb

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: 726ms
memory: 4296kb

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: 682ms
memory: 4240kb

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"