# Power Network(POJ 1459)
题意:
有N个发电站,NC个用户,NP个中转站,M条传输线,求最大供电量。
思路:
裸的最大流问题;
唯一有搞一点的输入格式,从网上学了一手,过了。
开始Dinic的板子超时了,换SAP就过了,emmmmm。
AC code:
#include
#include
#include
#include
#include
using namespace std;
template<typename T>
T read(T &x){
x = 0;
char ch = getchar();
for(;ch<'0'||ch>'9';ch=getchar());
for(;ch>='0'&&ch<='9';ch=getchar()) x = x*10+(ch-'0');
if(ch==10||ch==13) return 0;
return 1;
}
const int INF = 0x3f3f3f3f;
const int MAXN = 150;
const int MAXM = 30000;
#define captype int
struct SAP_MaxFlow{
struct Edge{
int from,to,next;
captype cap;
}edges[MAXM];
int tot,head[MAXN];
int gap[MAXN];
int dis[MAXN];
int cur[MAXN];
int pre[MAXN];
void init(){
tot=0;
memset(head,-1,sizeof(head));
}
void AddEdge(int u,int v,captype c,captype rc=0){
edges[tot] = (Edge){u,v,head[u],c}; head[u]=tot++;
edges[tot] = (Edge){v,u,head[v],rc}; head[v]=tot++;
}
captype maxFlow_sap(int sNode,int eNode, int n){//n是包括源点和汇点的总点个数,这个一定要注意
memset(gap,0,sizeof(gap));
memset(dis,0,sizeof(dis));
memcpy(cur,head,sizeof(head));
pre[sNode] = -1;
gap[0]=n;
captype ans=0;
int u=sNode;
while(dis[sNode]<n){
if(u==eNode){
captype Min=INF;
int inser;
for(int i=pre[u]; i!=-1; i=pre[edges[i^1].to])
if(Min>edges[i].cap){
Min=edges[i].cap;
inser=i;
}
for(int i=pre[u]; i!=-1; i=pre[edges[i^1].to]){
edges[i].cap-=Min;
edges[i^1].cap+=Min;
}
ans+=Min;
u=edges[inser^1].to;
continue;
}
bool flag = false;
int v;
for(int i=cur[u]; i!=-1; i=edges[i].next){
v=edges[i].to;
if(edges[i].cap>0 && dis[u]==dis[v]+1){
flag=true;
cur[u]=pre[v]=i;
break;
}
}
if(flag){
u=v;
continue;
}
int Mind= n;
for(int i=head[u]; i!=-1; i=edges[i].next)
if(edges[i].cap>0 && Mind>dis[edges[i].to]){
Mind=dis[edges[i].to];
cur[u]=i;
}
gap[dis[u]]--;
if(gap[dis[u]]==0) return ans;
dis[u]=Mind+1;
gap[dis[u]]++;
if(u!=sNode) u=edges[pre[u]^1].to; //退一条边
}
return ans;
}
}F;
/*
struct Dinic{
struct Edge{
int to,next;
captype cap;
}edge[MAXM];
int tot;
int head[MAXN],dis[MAXN];
void init(){
tot = 0;
memset(head,-1,sizeof(head));
}
void addedge(int u,int v,captype cap){
edge[tot]=(Edge){v,head[u],cap},head[u]=tot++;
edge[tot]=(Edge){u,head[v],0},head[v]=tot++;
}
bool bfs(int s,int t){
memset(dis,-1,sizeof(dis));
dis[s] = 0;
std::queueq;
q.push(s);
while(!q.empty()){
int u = q.front(); q.pop();
for(int i=head[u];~i;i=edge[i].next){
int v = edge[i].to;
if(dis[v]==-1&&edge[i].cap>0){
dis[v] = dis[u]+1;
q.push(v);
}
}
}
return dis[t]!=-1;
}
captype dfs(int u,int t,captype f){
if(u==t) return f;
for(int i=head[u];~i;i=edge[i].next){
int v = edge[i].to;
if(dis[v]==dis[u]+1&&edge[i].cap>0){
int d = dfs(v,t,std::min(edge[i].cap,f));
if(d>0){
edge[i].cap -= d;
edge[i^1].cap += d;
return d;
}
}
}
return 0;
}
captype max_flow(int s,int t){
captype flow = 0,f;
while(1){
if(!bfs(s,t)) return flow;
while((f=dfs(s,t,INF))>0){
flow += f;
}
}
return flow;
}
}F;*/
int main(){
int n,m,np,nc,u,v,z;
while(~scanf("%d%d%d%d",&n,&np,&nc,&m)){
F.init();
int s = 0, t = n + 1;
for(int i = 0; i < m; ++i){
while(getchar() != '(') ;
scanf("%d,%d)%d",&u,&v,&z);
++u,++v;
//F.addedge(u,v,z);
F.AddEdge(u,v,z);
}
for(int i = 0; i < np; ++i){
while(getchar() != '(') ;
scanf("%d)%d",&u,&z);
++u;
//F.addedge(s,u,z);
F.AddEdge(s,u,z);
}
for(int i = 0; i < nc; ++i){
while(getchar() != '(') ;
scanf("%d)%d",&u,&z);
++u;
//F.addedge(u,t,z);
F.AddEdge(u,t,z);
}
//printf("%d\n",F.max_flow(s,t));
printf("%d\n",F.maxFlow_sap(s,t,n + 2));
}
return 0;
}