洛谷.4015.运输问题(SPFA费用流)
题目链接
嗯。。水题
洛谷这网络流二十四题的难度评价真神奇。。
#include <queue> #include <cstdio> #include <cctype> #include <cstring> #include <algorithm> #define gc() getchar() const int N=206,M=15000,INF=0x3f3f3f3f; int n,m,src,des,A[N],B[N],C[N][N],dis[N],pre[N]; int Enum,H[N],nxt[M<<1],fr[M<<1],to[M<<1],cost[M<<1],cap[M<<1]; bool inq[N]; std::queue<int> q; inline int read() { int now=0,f=1;register char c=gc(); for(;!isdigit(c);c=gc()) if(c=='-') f=-1; for(;isdigit(c);now=now*10+c-'0',c=gc()); return now*f; } inline void AddEdge(int u,int v,int w,int c) { to[++Enum]=v, fr[Enum]=u, nxt[Enum]=H[u], H[u]=Enum, cap[Enum]=w, cost[Enum]=c; to[++Enum]=u, fr[Enum]=v, nxt[Enum]=H[v], H[v]=Enum, cap[Enum]=0, cost[Enum]=-c; } bool SPFA() { memset(dis,0x3f,sizeof dis); dis[src]=0, q.push(src); while(!q.empty()) { int x=q.front();q.pop(); inq[x]=0; for(int i=H[x]; i; i=nxt[i]) if(cap[i] && dis[to[i]]>dis[x]+cost[i]) { dis[to[i]]=dis[x]+cost[i], pre[to[i]]=i; if(!inq[to[i]]) q.push(to[i]),inq[to[i]]=1; } } return dis[des]<INF; } int MCMF() { int res=0,mn=INF; for(int i=des; i!=src; i=fr[pre[i]]) mn=std::min(cap[pre[i]],mn); for(int i=des; i!=src; i=fr[pre[i]]) cap[pre[i]]-=mn,cap[pre[i]^1]+=mn,res+=cost[pre[i]]*mn; return res; } int main() { n=read(),m=read(); Enum=1, src=0, des=n+m+1; for(int i=1; i<=n; ++i) AddEdge(src,i,A[i]=read(),0); for(int i=1; i<=m; ++i) AddEdge(i+n,des,B[i]=read(),0); for(int i=1; i<=n; ++i) for(int j=1; j<=m; ++j) AddEdge(i,j+n,INF,C[i][j]=read()); int rmin=0,rmax=0; while(SPFA()) rmin+=MCMF(); memset(H,0,sizeof H); Enum=1; for(int i=1; i<=n; ++i) AddEdge(src,i,A[i],0); for(int i=1; i<=m; ++i) AddEdge(i+n,des,B[i],0); for(int i=1; i<=n; ++i) for(int j=1; j<=m; ++j) AddEdge(i,j+n,INF,-C[i][j]); while(SPFA()) rmax+=MCMF(); printf("%d\n%d",rmin,-rmax); return 0; }
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