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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#129987 | #602. 最小费用最大流(随机数据) | youngsystem# | 100 ✓ | 790ms | 9932kb | C++20 | 2.7kb | 2023-07-23 11:44:31 | 2023-07-23 11:44:35 |
Judging History
answer
#include<bits/stdc++.h>
#define int long long
#define inf 1121131433448687LL
using namespace std;
inline int read()
{
int n=0,f=1,ch=getchar();
while(ch<'0'||ch>'9')
{
if(ch=='-')f=-1;
ch=getchar();
}
while(ch>='0'&&ch<='9')
{
n=n*10+ch-'0';
ch=getchar();
}
return n*f;
}
struct bbian
{
int u,v,w,f,nex;
}a[200005];
int head[100005],tmp=1;
void addb(int x,int y,int z,int f)
{
a[++tmp].u=x;
a[tmp].v=y;
a[tmp].w=z;
a[tmp].f=f;
a[tmp].nex=head[x];
head[x]=tmp;
}
int dis[200005],qz[200005];
int n,m,s,t;
queue<int>que;
bool inq[200005];
int maxflow,mincost,delta;
void reduce()
{
for(int i=2;i<=tmp;i++)
{
a[i].f+=dis[a[i].v]-dis[a[i].u];
//printf("???%lld %lld %lld %lld\n",a[i].u,a[i].v,a[i].w,a[i].f);
}
delta+=dis[s];
}
bool spfa()
{
for(int i=1;i<=n;i++)dis[i]=inf,inq[i]=false;
dis[t]=0;
que.push(t);
while(!que.empty())
{
int x=que.front();
inq[x]=false;
que.pop();
for(int i=head[x];i;i=a[i].nex)
{
if(a[i^1].w==0)continue;
if(dis[a[i].v]>dis[x]+a[i^1].f)
{
dis[a[i].v]=dis[x]+a[i^1].f;
if(!inq[a[i].v])
{
inq[a[i].v]=true;
que.push(a[i].v);
}
}
}
}
//for(int i=1;i<=n;i++)printf("%lld ",dis[i]);
//printf("\n");
return dis[s]!=inf;
}
priority_queue<pair<int,int> >pq;
bool dijkstra()
{
for(int i=1;i<=n;i++)dis[i]=inf;
dis[t]=0;
pq.push(make_pair(0,t));
while(!pq.empty())
{
int x=pq.top().second;
if(pq.top().first!=-dis[x])
{
pq.pop();
continue;
}
pq.pop();
for(int i=head[x];i;i=a[i].nex)
{
if(a[i^1].w==0)continue;
if(dis[a[i].v]>dis[x]+a[i^1].f)
{
dis[a[i].v]=dis[x]+a[i^1].f;
pq.push(make_pair(-dis[a[i].v],a[i].v));
}
}
}
return dis[s]!=inf;
}
bool vis[200005];
int dfs(int x,int nf)
{
if(x==t||nf==0)return nf;
//printf("%lld %lld\n",x,nf);
vis[x]=true;
int res=nf;
for(int i=head[x];i;i=a[i].nex)
{
if(vis[a[i].v]==false&&a[i].w>0&&a[i].f==0)
{
int sth=dfs(a[i].v,min(res,a[i].w));
a[i].w-=sth;
a[i^1].w+=sth;
res-=sth;
}
if(res==0)break;
}
return nf-res;
}
void zengguang()
{
int now=0;
for(int i=1;i<=n;i++)vis[i]=false;
while((now=dfs(s,inf))!=0)
{
maxflow+=now;
mincost+=now*delta;
}
//printf("!!!%lld %lld\n",maxflow,mincost);
}
void primaldual()
{
if(!spfa())return;
reduce();
zengguang();
while(dijkstra())
{
reduce();
zengguang();
}
}
signed main()
{
int x,y,z,f;
n=read();
m=read();
s=1;
t=n;
for(int i=1;i<=m;i++)
{
x=read();
y=read();
z=read();
f=read();
addb(x,y,z,f);
addb(y,x,0,-f);
}
primaldual();
printf("%lld %lld\n",maxflow,mincost);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 10
Accepted
time: 2ms
memory: 5768kb
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: 5820kb
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: 7712kb
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: 27ms
memory: 7756kb
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: 107ms
memory: 5836kb
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: 101ms
memory: 9804kb
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: 101ms
memory: 7752kb
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: 731ms
memory: 9932kb
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: 790ms
memory: 7768kb
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: 773ms
memory: 9816kb
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"