POJ2516 Minimum Cost(最小费用最大流)

时间:2023-03-09 01:17:57
POJ2516 Minimum Cost(最小费用最大流)

一开始我把每个店主都拆成k个点,然后建图。。然后TLE。。

看题解= =哦,愚钝了,k个商品是独立的,可以分别跑k次最小费用最大流,结果就是k次总和。。

 #include<cstdio>
#include<cstring>
#include<queue>
#include<algorithm>
using namespace std;
#define INF (1<<30)
#define MAXN 111
#define MAXM 111*111*2
struct Edge{
int u,v,cap,cost,next;
}edge[MAXM];
int head[MAXN];
int NV,NE,vs,vt; void addEdge(int u,int v,int cap,int cost){
edge[NE].u=u; edge[NE].v=v; edge[NE].cap=cap; edge[NE].cost=cost;
edge[NE].next=head[u]; head[u]=NE++;
edge[NE].u=v; edge[NE].v=u; edge[NE].cap=; edge[NE].cost=-cost;
edge[NE].next=head[v]; head[v]=NE++;
}
bool vis[MAXN];
int d[MAXN],pre[MAXN];
bool SPFA(){
for(int i=;i<NV;++i){
vis[i]=;
d[i]=INF;
}
vis[vs]=;
d[vs]=;
queue<int> que;
que.push(vs);
while(!que.empty()){
int u=que.front(); que.pop();
for(int i=head[u]; i!=-; i=edge[i].next){
int v=edge[i].v;
if(edge[i].cap && d[v]>d[u]+edge[i].cost){
d[v]=d[u]+edge[i].cost;
pre[v]=i;
if(!vis[v]){
vis[v]=;
que.push(v);
}
}
}
vis[u]=;
}
return d[vt]!=INF;
}
int MCMF(){
int res=;
while(SPFA()){
int flow=INF,cost=;
for(int u=vt; u!=vs; u=edge[pre[u]].u){
flow=min(flow,edge[pre[u]].cap);
}
for(int u=vt; u!=vs; u=edge[pre[u]].u){
edge[pre[u]].cap-=flow;
edge[pre[u]^].cap+=flow;
cost+=flow*edge[pre[u]].cost;
}
res+=cost;
}
return res;
} int n,m,k,mat[][][],to[][],from[][];
bool isOK(int *need,int *supply){
for(int i=; i<k; ++i) if(need[i]>supply[i]) return ;
return ;
}
int main(){
int a;
while(~scanf("%d%d%d",&n,&m,&k) && (n||m||k)){
int sum=;
int supply[]={},need[]={};
for(int i=; i<n; ++i){
for(int j=; j<k; ++j){
scanf("%d",&to[i][j]);
need[j]+=to[i][j];
}
}
for(int i=; i<m; ++i){
for(int j=; j<k; ++j){
scanf("%d",&from[i][j]);
supply[j]+=from[i][j];
}
}
for(int z=; z<k; ++z){
for(int x=; x<n; ++x){
for(int y=; y<m; ++y) scanf("%d",&mat[z][x][y]);
}
}
if(!isOK(need,supply)){
puts("-1");
continue;
} vs=n+m; vt=vs+; NV=n+m+;
int res=;
for(int good=; good<k; ++good){
NE=;
memset(head,-,sizeof(head)); for(int i=; i<m; ++i) addEdge(vs,i,from[i][good],);
for(int i=; i<n; ++i) addEdge(i+m,vt,to[i][good],);
for(int i=; i<n; ++i){
for(int j=; j<m; ++j) addEdge(j,i+m,INF,mat[good][i][j]);
}
res+=MCMF();
}
printf("%d\n",res);
}
return ;
}