洛谷.3381.[模板]最小费用最大流(zkw)

时间:2023-03-08 21:25:42

题目链接

Update:我好像刚知道多路增广就是zkw费用流。。

//1314ms	2.66MB 本题优化明显
#include <queue>
#include <cstdio>
#include <cctype>
#include <cstring>
#include <algorithm>
//#define gc() getchar()
#define MAXIN 350000
#define gc() (SS==TT&&(TT=(SS=IN)+fread(IN,1,MAXIN,stdin),SS==TT)?EOF:*SS++)
const int N=5005,M=1e5+5,INF=0x3f3f3f3f; int n,m,src,des,Enum,cur[N],H[N],nxt[M],to[M],cap[M],cost[M],dis[N];
long long Cost;
bool vis[N];
std::queue<int> q;
char IN[MAXIN],*SS=IN,*TT=IN; inline int read()
{
int now=0;register char c=gc();
for(;!isdigit(c);c=gc());
for(;isdigit(c);now=now*10+c-'0',c=gc());
return now;
}
inline void AddEdge(int c,int w,int v,int u)
{
to[++Enum]=v, nxt[Enum]=H[u], H[u]=Enum, cap[Enum]=w, cost[Enum]=c;
to[++Enum]=u, nxt[Enum]=H[v], H[v]=Enum, cap[Enum]=0, cost[Enum]=-c;
}
bool SPFA()
{
memset(vis,0,sizeof vis);
memset(dis,0x3f,sizeof dis);
dis[src]=0, q.push(src);
while(!q.empty())
{
int x=q.front();
q.pop(), vis[x]=0;
for(int i=H[x],v; i; i=nxt[i])
if(cap[i] && dis[v=to[i]]>dis[x]+cost[i])
dis[v]=dis[x]+cost[i], !vis[v]&&(q.push(v),vis[v]=1);
}
return dis[des]<INF;
}
int DFS(int x,int f)
{
if(x==des) return f;
vis[x]=1;
for(int &i=cur[x],tmp; i; i=nxt[i])
if(!vis[to[i]] && cap[i] && dis[to[i]]==dis[x]+cost[i])
if(tmp=DFS(to[i],std::min(f,cap[i])))
return cap[i]-=tmp,cap[i^1]+=tmp,Cost+=1ll*tmp*cost[i],tmp;
return 0;
}
void MCMF()
{
long long flow=0,tmp;
while(SPFA())
{
for(int i=1; i<=n; ++i) cur[i]=H[i];
while(tmp=DFS(src,INF)) flow+=tmp;
}
printf("%lld %lld\n",flow,Cost);
} int main()
{
Enum=1,n=read(),m=read(),src=read(),des=read();
for(int i=1; i<=m; ++i) AddEdge(read(),read(),read(),read());
MCMF();
return 0;
}