Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 2650 Accepted Submission(s): 1411
//费用流模板题,因为题目中的表述就是一个网络流模型,拆点建图,没点只经过一次,起点终点容量为2,
//其他点容量为1,要求最大费用费用为负权值,套模板。起点和终点经历了两次,最后要减去。
/****************最小费用最大流模板,白书363页*******************************/
#include<iostream>
#include<cstdio>
#include<cstring>
#include<queue>
#include<vector>
using namespace std;
const int maxn=30*30*2+5,inf=0x7fffffff;//本体拆点,数组多开两倍
struct Edge
{
int from,to,cap,flow,cost;
Edge(int u,int v,int c,int f,int cs):from(u),to(v),cap(c),flow(f),cost(cs){}
};
struct MCMF
{
int n,m,s,t;
vector<Edge>edges;
vector<int>g[maxn];
int inq[maxn],d[maxn],p[maxn],a[maxn];
void init(int n)
{
this->n=n;
for(int i=0;i<n;i++) g[i].clear();
edges.clear();
}
void AddEdge(int from,int to,int cap,int cost)
{
edges.push_back((Edge){from,to,cap,0,cost});
edges.push_back((Edge){to,from,0,0,-cost});
m=edges.size();
g[from].push_back(m-2);
g[to].push_back(m-1);
}
bool BellmanFord(int s,int t,int &flow,int &cost)
{
for(int i=0;i<n;i++) d[i]=inf;
memset(inq,0,sizeof(inq));
d[s]=0;inq[s]=1;p[s]=0;a[s]=inf;
queue<int>q;
q.push(s);
while(!q.empty()){
int u=q.front();q.pop();
inq[u]=0;
for(int i=0;i<(int)g[u].size();i++){
Edge &e=edges[g[u][i]];
if(e.cap>e.flow&&d[e.to]>d[u]+e.cost){
d[e.to]=d[u]+e.cost;
p[e.to]=g[u][i];
a[e.to]=min(a[u],e.cap-e.flow);
if(!inq[e.to]) {q.push(e.to);inq[e.to]=1;}
}
}
}
if(d[t]==inf) return false;
flow+=a[t];
cost+=d[t]*a[t];
int u=t;
while(u!=s){
edges[p[u]].flow+=a[t];
edges[p[u]^1].flow-=a[t];
u=edges[p[u]].from;
}
return true;
}
int Mincost(int s,int t)
{
int flow=0,cost=0;
while(BellmanFord(s,t,flow,cost));
return cost;//返回最小费用,flow存最大流
}
}MC;
/**********************************************************************************/
int main()
{
int n,mp[35][35];
while(scanf("%d",&n)==1){
int s=0,t=n*n*2+1;
MC.init(n*n*2+2);
for(int i=1;i<=n;i++)
for(int j=1;j<=n;j++)
scanf("%d",&mp[i][j]);
for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++){
int id=(i-1)*n+j;
if(id==1){
MC.AddEdge(id,id+n*n,2,-mp[i][j]);
MC.AddEdge(s,id,2,0);
}
else if(id==n*n){
MC.AddEdge(id,id+n*n,2,-mp[i][j]);
MC.AddEdge(id+n*n,t,2,0);
}
else MC.AddEdge(id,id+n*n,1,-mp[i][j]);
if(i<n){
int nid=id+n;
MC.AddEdge(id+n*n,nid,1,0);
}
if(j<n){
int nid=id+1;
MC.AddEdge(id+n*n,nid,1,0);
}
}
}
int ans=-(MC.Mincost(0,n*n*2+1)+mp[1][1]+mp[n][n]);
printf("%d\n",ans);
}
return 0;
}
Time Limit: 5000/2000 MS (Java/Others) Memory Limit: 102400/102400 K (Java/Others)
Total Submission(s): 4255 Accepted Submission(s): 1233
//和HDU2686一样,只是数据变大了,上一个模板会超内存,这个板不会。
/***********************最小费用最大流模板2*************************/
#include<iostream>
#include<cstdio>
#include<cstring>
#include<queue>
using namespace std;
const int maxn=610*610*2+2;
const int maxm=4*maxn;//!边数要够
const int inf=0x7fffffff;
struct Edge
{
int to,next,cap,flow,cost;
}edges[maxm];
int head[maxn],tol,pre[maxn],dis[maxn];
bool vis[maxn];
int N;
void init(int n)
{
N=n;
tol=0;
memset(head,-1,sizeof(head));
}
void AddEdge(int u,int v,int cap,int cost)
{
edges[tol].to=v;
edges[tol].cap=cap;
edges[tol].cost=cost;
edges[tol].flow=0;
edges[tol].next=head[u];
head[u]=tol++;
edges[tol].to=u;
edges[tol].cap=0;
edges[tol].cost=-cost;
edges[tol].flow=0;
edges[tol].next=head[v];
head[v]=tol++;
}
bool spfa(int s,int t)
{
queue<int>q;
for(int i=0;i<=N;i++){
dis[i]=inf;
vis[i]=0;
pre[i]=-1;
}
dis[s]=0;
vis[s]=1;
q.push(s);
while(!q.empty()){
int u=q.front();q.pop();
vis[u]=0;
for(int i=head[u];i!=-1;i=edges[i].next){
int v=edges[i].to;
if(edges[i].cap>edges[i].flow&&dis[v]>dis[u]+edges[i].cost){
dis[v]=dis[u]+edges[i].cost;
pre[v]=i;
if(!vis[v]) {vis[v]=1;q.push(v);}
}
}
}
if(pre[t]==-1) return 0;
return 1;
}
int MinCostFlow(int s,int t)
{
int flow=0,cost=0;
while(spfa(s,t)){
int Min=inf;
for(int i=pre[t];i!=-1;i=pre[edges[i^1].to])
Min=min(Min,edges[i].cap-edges[i].flow);
for(int i=pre[t];i!=-1;i=pre[edges[i^1].to]){
edges[i].flow+=Min;
edges[i^1].flow-=Min;
cost+=edges[i].cost*Min;
}
flow+=Min;
}
return cost;//返回最小费用,flow存最大流
}
/*********************************************************************/
int main()
{
int n,mp[605][605];
while(scanf("%d",&n)==1){
for(int i=1;i<=n;i++)
for(int j=1;j<=n;j++) scanf("%d",&mp[i][j]);
int s=0,t=n*n*2+1;
init(n*n*2+2);
for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++){
int id=(i-1)*n+j;
if(id==1){
AddEdge(id,id+n*n,2,-mp[i][j]);
AddEdge(s,id,2,0);
}
else if(id==n*n){
AddEdge(id,id+n*n,2,-mp[i][j]);
AddEdge(id+n*n,t,2,0);
}
else AddEdge(id,id+n*n,1,-mp[i][j]);
if(i<n) AddEdge(id+n*n,id+n,1,0);
if(j<n) AddEdge(id+n*n,id+1,1,0);
}
}
int ans=-(MinCostFlow(s,t)+mp[1][1]+mp[n][n]);
printf("%d\n",ans);
}
return 0;
}
给出代码供以后参考学习
原文:http://www.cnblogs.com/ruruozhenhao/p/7633035.html