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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#93327#602. 最小费用最大流(随机数据)chenshi#100 ✓1116ms6080kbC++1.5kb2023-03-31 17:05:392023-03-31 17:05:56

Judging History

This is the latest submission verdict.

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-31 17:05:56]
  • Judged
  • Verdict: 100
  • Time: 1116ms
  • Memory: 6080kb
  • [2023-03-31 17:05:39]
  • Submitted

answer

#include<cstdio>
#include<iostream>
#include<queue>
#include<utility>
using namespace std;
const int o=1e5,inf=(1ll<<31)-1;
int n,m,S,T,h[o],cnt=1,flow[o],lst[o],phi[o],dis[o],ans1,ans2;bool vis[o];priority_queue<pair<int,int> > q;queue<int> Q;
struct Edge{int v,p,c,f;}e[o];
inline void ad(int U,int V,int C,int F){e[++cnt].v=V;e[cnt].p=h[U];e[h[U]=cnt].c=C;e[cnt].f=F;}
inline void add(int ST,int ED,int CA,int FY){ad(ST,ED,CA,FY);ad(ED,ST,0,-FY);}
inline void spfa(){
	for(int i=1;i<=n;++i) dis[i]=inf;
	for(Q.push(S),dis[S]=0,vis[S]=1;!Q.empty();vis[Q.front()]=0,Q.pop())
		for(int i=h[Q.front()];i;i=e[i].p) if(e[i].c&&dis[Q.front()]+e[i].f<dis[e[i].v])
			{dis[e[i].v]=dis[Q.front()]+e[i].f;if(!vis[e[i].v]) Q.push(e[i].v),vis[e[i].v]=1;}
}
inline bool dijkstra(){
	for(int i=1;i<=n;++i) phi[i]+=dis[i],dis[i]=inf,lst[i]=vis[i]=0;
	for(q.push(make_pair(dis[S]=0,S)),flow[S]=inf;!q.empty();){
		int t=q.top().second;
		q.pop();
		if(vis[t]) continue;
		vis[t]=1;
		for(int i=h[t];i;i=e[i].p) if(e[i].c&&dis[t]+e[i].f+phi[t]-phi[e[i].v]<dis[e[i].v])
			q.push(make_pair(-(dis[e[i].v]=dis[t]+e[i].f+phi[t]-phi[e[i].v]),e[i].v)),
			flow[e[i].v]=min(flow[t],e[lst[e[i].v]=i].c);
	}
	return lst[T];
}
int main(){
	scanf("%d%d",&n,&m);S=1;T=n;
	for(int u,v,c,f;m--;add(u,v,c,f)) scanf("%d%d%d%d",&u,&v,&c,&f);
	for(spfa();dijkstra();ans1+=flow[T],ans2+=flow[T]*(dis[T]+phi[T]))
		for(int i=T;i^S;i=e[lst[i]^1].v) e[lst[i]].c-=flow[T],e[lst[i]^1].c+=flow[T];
	printf("%d %d",ans1,ans2);
	return 0;
}

Details

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Test #1:

score: 10
Accepted
time: 2ms
memory: 3760kb

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: 2ms
memory: 5688kb

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: 3ms
memory: 5664kb

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: 38ms
memory: 5808kb

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: 142ms
memory: 5832kb

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: 138ms
memory: 5792kb

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: 145ms
memory: 5756kb

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: 1087ms
memory: 6080kb

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: 1116ms
memory: 4044kb

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: 1088ms
memory: 4004kb

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"