题目链接
Problem Description
Network flow is a well-known difficult problem for ACMers. Given a graph, your task is to find out the maximum flow for the weighted directed graph.
Input
The first line of input contains an integer T, denoting the number of test cases. For each test case, the first line contains two integers N and M, denoting the number of vertexes and edges in the graph. (2 <= N <= 15, 0 <= M <= 1000) Next M lines, each line contains three integers X, Y and C, there is an edge from X to Y and the capacity of it is C. (1 <= X, Y <= N, 1 <= C <= 1000)
Output
For each test cases, you should output the maximum flow from source 1 to sink N.
Sample Input
2 3 2 1 2 1 2 3 1 3 3 1 2 1 2 3 1 1 3 1 Sample Output
代码语言：javascript复制Case 1: 1
Case 2: 2模板题，用来测试模板，我的模板都能过。
代码语言：javascript复制#include<cstdio>
#include<cstring>
#include<queue>
#define INF 1e9
using namespace std;
const int maxn=200 5;
struct Edge
{
int from,to,cap,flow;
Edge() {}
Edge(int f,int t,int c,int flow):from(f),to(t),cap(c),flow(flow) {}
};
struct Dinic
{
int n,m,s,t;
vector<Edge> edges;
vector<int> G[maxn];
bool vis[maxn];
int cur[maxn];
int d[maxn];
void init(int n,int s,int t)
{
this->n=n, this->s=s, this->t=t;
edges.clear();
for(int i=1; i<=n; i )
G[i].clear();
}
void AddEdge(int from,int to,int cap)
{
edges.push_back(Edge(from,to,cap,0));
edges.push_back(Edge(to,from,0,0));
m = edges.size();
G[from].push_back(m-2);
G[to].push_back(m-1);
}
bool BFS()
{
memset(vis,0,sizeof(vis));
queue<int> Q;
d[s]=0;
Q.push(s);
vis[s]=true;
while(!Q.empty())
{
int x=Q.front();
Q.pop();
for(int i=0; i<G[x].size(); i )
{
Edge& e=edges[G[x][i]];
if(!vis[e.to] && e.cap>e.flow)
{
vis[e.to]=true;
Q.push(e.to);
d[e.to]= 1 d[x];
}
}
}
return vis[t];
}
int DFS(int x,int a)
{
if(x==t || a==0)
return a;
int flow=0,f;
for(int& i=cur[x]; i<G[x].size(); i )
{
Edge& e=edges[G[x][i]];
if(d[x] 1==d[e.to] && (f=DFS(e.to,min(a,e.cap-e.flow) ))>0 )
{
e.flow =f;
edges[G[x][i]^1].flow -=f;
flow =f;
a-=f;
if(a==0)
break;
}
}
return flow;
}
int Maxflow()
{
int flow=0;
while(BFS())
{
memset(cur,0,sizeof(cur));
flow = DFS(s,INF);
}
return flow;
}
} DC;
int main()
{
int n,m,t;
scanf("%d",&t);
for(int i=1;i<=t; i)
{
scanf("%d%d",&n,&m);
DC.init(n,1,n);
while(m--)
{
int u,v,w;
scanf("%d%d%d",&u,&v,&w);
DC.AddEdge(u,v,w);
}
printf("Case %d: %dn",i,DC.Maxflow());
}
return 0;
}
