关键还是建图,超级源点和超级汇点是一种很好的思想
#include<iostream>
#include<algorithm>
#include<cstdio>
#include<cstring>
using namespace std;
#define MAXN 100010
#define MAXM 400010
#define INF 0x3f3f3f3f
struct Edge
{
int to,next,cap,flow;
} edge[MAXM];
int tol;
int head[MAXN];
int gap[MAXN],dep[MAXN],pre[MAXN],cur[MAXN];
void init()
{
tol=0;
memset(head,-1,sizeof head);
}
void addedge(int u,int v,int w,int rw=0)
{
edge[tol].to=v;
edge[tol].cap=w;
edge[tol].next=head[u];
edge[tol].flow=0;
head[u]=tol++;
edge[tol].to=u;
edge[tol].cap=rw;
edge[tol].next=head[v];
edge[tol].flow=0;
head[v]=tol++;
}
int sap(int start,int end,int N)
{
memset(gap,0,sizeof gap);
memset(dep,0,sizeof dep);
memcpy(cur,head,sizeof head);
int u=start;
pre[u]=-1;
gap[0]=N;
int ans=0;
while(dep[start]<N)
{
if(u==end)
{
int Min=INF;
for(int i=pre[u];i!=-1;i=pre[edge[i^1].to])
if(Min>edge[i].cap-edge[i].flow)
Min=edge[i].cap-edge[i].flow;
for(int i=pre[u];i!=-1;i=pre[edge[i^1].to])
{
edge[i].flow+=Min;
edge[i^1].flow-=Min;
}
u=start;
ans+=Min;
continue;
}
bool flag=false;
int v;
for(int i=cur[u];i!=-1;i=edge[i].next)
{
v=edge[i].to;
if(edge[i].cap-edge[i].flow&&dep[v]+1==dep[u])
{
flag=true;
cur[u]=pre[v]=i;
break;
}
}
if(flag)
{
u=v;
continue;
}
int Min=N;
for(int i=head[u];i!=-1;i=edge[i].next)
if(edge[i].cap-edge[i].flow&&dep[edge[i].to]<Min)
{
Min=dep[edge[i].to];
cur[u]=i;
}
gap[dep[u]]--;
if(!gap[dep[u]]) return ans;
dep[u]=Min+1;
gap[dep[u]]++;
if(u!=start) u=edge[pre[u]^1].to;
}
return ans;
}
int main()
{
int T;
cin>>T;
int g=0;
while(T--)
{
g++;
init();
int n,m;
cin>>n>>m;
for(int i=1;i<=m;i++)
{
int u,v,w;
cin>>u>>v>>w;
addedge(u,v,w);
}
cout<<"Case "<<g<<": "<<sap(1,n,n)<<endl;
}
return 0;
}