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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
#642969#602. 最小费用最大流(随机数据)pmt2018100 ✓997ms4460kbC++202.3kb2024-10-15 17:24:362024-10-15 17:24:38

Judging History

你现在查看的是最新测评结果

  • [2024-10-15 17:24:38]
  • 评测
  • 测评结果:100
  • 用时:997ms
  • 内存:4460kb
  • [2024-10-15 17:24:36]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int maxn = 2007, maxm = 200007, INF = 0x7fffffff;

int n,m,s,t;
namespace MCMF {
	using pr = pair<ll, int>;
	int N, S, T;
	struct edge {
		int to, nxt, cap, w;
	} e[maxm << 1];
	int head[maxn], tot = 1;
	void addedge(int x, int y, int cap, int w) {
		e[++tot] = {y, head[x], cap, w}, head[x] = tot;
		e[++tot] = {x, head[y], 0, -w}, head[y] = tot;
	}
	ll d[maxn], dis[maxn];
	int vis[maxn], fr[maxn];
	bool spfa() {
		queue<int> Q;
		fill(d + 1, d + N + 1, 1e18);  // CHECK
		for (d[S] = 0, Q.push(S); !Q.empty();) {
			int x = Q.front();
			Q.pop();
			vis[x] = 0;
			for (int i = head[x]; i; i = e[i].nxt)
				if (e[i].cap && d[e[i].to] > d[x] + e[i].w) {
					d[e[i].to] = d[x] + e[i].w;
					fr[e[i].to] = i;
					if (!vis[e[i].to]) vis[e[i].to] = 1, Q.push(e[i].to);
				}
		}
		return d[T] < 1e17;  // 如果只是最小费用流,当d < 0继续增广
	}
	bool dijkstra() {  // 正常题目不需要 dijk
		priority_queue<pr, vector<pr>, greater<pr>> Q;
		for (int i = 1; i <= N; ++i)
			dis[i] = d[i], d[i] = 1e18, vis[i] = fr[i] = 0;  // CHECK
		Q.emplace(d[S] = 0, S);
		while (!Q.empty()) {
			int x = Q.top().second;
			Q.pop();
			if (vis[x]) continue;
			vis[x] = 1;
			for (int i = head[x]; i; i = e[i].nxt) {
				const ll v = e[i].w + dis[x] - dis[e[i].to];
				if (e[i].cap && d[e[i].to] > d[x] + v) {
					fr[e[i].to] = i;
					Q.emplace(d[e[i].to] = d[x] + v, e[i].to);
				}
			}
		}
		for (int i = 1; i <= N; ++i) d[i] += dis[i];  // CHECK
		return d[T] < 1e17;
	}
	std::pair<ll, ll> work(int _N, int _S, int _T) {
        N = _N, S = _S, T = _T;
		spfa();  // 如果初始有负权且要 dijk
		ll f = 0, c = 0;
		for (; dijkstra();) {  // 正常可以用 spfa
			ll fl = 1e18;
			for (int i = fr[T]; i; i = fr[e[i ^ 1].to]) fl = min((ll)e[i].cap, fl);
			for (int i = fr[T]; i; i = fr[e[i ^ 1].to])
				e[i].cap -= fl, e[i ^ 1].cap += fl;
			f += fl, c += fl * d[T];
		}
		return make_pair(f, c);
	}
}  // namespace mcmf
int main() {
    scanf("%d%d", &n,&m);
    for(int i=1;i<=m;i++){
        int u,v,cap,w;
        scanf("%d%d%d%d",&u,&v,&cap,&w);
        MCMF::addedge(u,v,cap,w);
    }
	auto [cap, w] = MCMF::work(n,1,n);
    printf("%lld %lld", cap, w);
}

詳細信息


Pretests


Final Tests

Test #1:

score: 10
Accepted
time: 0ms
memory: 3764kb

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: 3820kb

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: 3756kb

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: 32ms
memory: 3904kb

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: 123ms
memory: 3936kb

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: 123ms
memory: 4012kb

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: 119ms
memory: 4024kb

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: 969ms
memory: 4440kb

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: 997ms
memory: 4460kb

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: 986ms
memory: 4216kb

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"