题意:一个公司有两个音乐厅,求能一年中能获得的最大的收益.
分析:最小费用最大流,将费用改成负数求即可
// File Name: 1317.cpp // Author: Zlbing // Created Time: 2013/4/25 21:32:14 #include<iostream> #include<string> #include<algorithm> #include<cstdlib> #include<cstdio> #include<set> #include<map> #include<vector> #include<cstring> #include<stack> #include<cmath> #include<queue> using namespace std; #define CL(x,v); memset(x,v,sizeof(x)); #define INF 0x3f3f3f3f #define LL long long #define REP(i,r,n) for(int i=r;i<=n;i++) #define RREP(i,n,r) for(int i=n;i>=r;i--) const int MAXN=400; struct Edge{ int from,to,cap,flow,cost; }; struct MCMF{ int n,m,s,t; vector<Edge>edges; vector<int> G[MAXN]; int inq[MAXN]; int d[MAXN]; int p[MAXN]; int 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; CL(inq,0); 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<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; } }; MCMF solver; int main() { int m; while(~scanf("%d",&m)) { if(!m)break; int S=0,T=366; solver.init(T); REP(i,1,m) { int a,b,c; scanf("%d%d%d",&a,&b,&c); solver.AddEdge(a,b+1,1,-c); } REP(i,1,T) solver.AddEdge(i,i+1,2,0); solver.AddEdge(0,1,2,0); int ans=solver.Mincost(S,T); printf("%d\n",-ans); } return 0; }