洛谷P4016 負載平衡問題 費用流
阿新 • • 發佈:2019-02-13
truct pty typedef clu ret can algo esp const
Code:
#include<cstdio> //好題 #include<algorithm> #include<vector> #include<cstring> #include<queue> using namespace std; const int maxn=500; const int INF=1000000+23666; typedef long long ll; int A[maxn]; int s,t,n; struct Edge{ int from,to,cap,cost; Edge(int u,int v,int c,int f):from(u),to(v),cap(c),cost(f){} }; struct MCMF{ vector<Edge>edges; vector<int>G[maxn]; int d[maxn],inq[maxn],a[maxn],flow2[maxn]; queue<int>Q; ll ans=0; int flow=0; void addedge(int u,int v,int c,int f){ edges.push_back(Edge(u,v,c,f)); //正向弧 edges.push_back(Edge(v,u,0,-f)); //反向弧 int m=edges.size(); G[u].push_back(m-2); G[v].push_back(m-1); } int SPFA(){ for(int i=0;i<=n;++i)d[i]=INF,flow2[i]=INF; memset(inq,0,sizeof(inq));int f=INF; d[s]=0,inq[s]=1;Q.push(s); while(!Q.empty()){ int u=Q.front();Q.pop();inq[u]=0; int sz=G[u].size(); for(int i=0;i<sz;++i){ Edge e=edges[G[u][i]]; if(e.cap>0&&d[e.to]>d[u]+e.cost){ a[e.to]=G[u][i]; d[e.to]=d[u]+e.cost; flow2[e.to]=min(flow2[u],e.cap); if(!inq[e.to]){inq[e.to]=1;Q.push(e.to);} } } } if(d[t]==INF)return 0; f=flow2[t]; flow+=f; int u=edges[a[t]].from; edges[a[t]].cap-=f; edges[a[t]^1].cap+=f; while(u!=s){ edges[a[u]].cap-=f; edges[a[u]^1].cap+=f; u=edges[a[u]].from; } ans+=(ll)(d[t]*f); return 1; } ll maxflow(){ while(SPFA()); return ans; } // ll getcost(){return ans;} }op; int main() { int N;scanf("%d",&N); s=0,t=N+1,n=N+1; int sum=0,ave; for(int i=1;i<=N;++i){ int a;scanf("%d",&a); A[i]=a; sum+=a; } ave=sum/N; for(int i=1;i<=N;++i) { int a=A[i]-ave; if(a>0)op.addedge(s,i,a,0); if(a<0)op.addedge(i,t,-a,0); } for(int i=2;i<N;++i) { op.addedge(i,i-1,INF,1); op.addedge(i,i+1,INF,1); } op.addedge(1,2,INF,1); op.addedge(1,N,INF,1); op.addedge(N,N-1,INF,1); op.addedge(N,1,INF,1); printf("%lld",op.maxflow()); return 0; }
洛谷P4016 負載平衡問題 費用流