POJ 2784 Buy or Build 最小生成树
枚举方案后做最小生成树。
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const int maxn=1100; const int maxm=10000; int n,q; vector<int>g[10]; int c[10]; struct Point{ int x,y; int getValueTo(Point p){ return (p.x-x)*(p.x-x)+(p.y-y)*(p.y-y); } }p[maxn]; struct EDGE{ int u,v,d; bool operator<(const EDGE& rhs) const{ return d<rhs.d; } }e[maxn*maxn]; int edge; int pa[maxn]; void makeset(int n){ for (int i=0;i<=n;i++) pa[i]=i; } int findset(int x){ if (x!=pa[x]) pa[x]=findset(pa[x]); return pa[x]; } bool unionset(int x,int y){ x=findset(x); y=findset(y); if (x!=y) { pa[x]=y; return true; } return false; } int kruskal(){ int ans=0; for (int i=0;i<edge;i++){ if (unionset(e[i].u,e[i].v)){ ans+=e[i].d; } } return ans; } int main(){ while (~scanf("%d%d",&n,&q)){ for (int i=0;i<q;i++){ int cnt; scanf("%d%d",&cnt,&c[i]); for (int j=0;j<cnt;j++){ int tmp; scanf("%d",&tmp); g[i].push_back(tmp); } } for (int i=1;i<=n;i++) scanf("%d%d",&p[i].x,&p[i].y); edge=0; for (int i=1;i<=n;i++){ for (int j=i+1;j<=n;j++){ e[edge].u=i; e[edge].v=j; e[edge++].d=p[i].getValueTo(p[j]); } } sort(e,e+edge); makeset(n); int ans=kruskal(); for (int s=1;s<(1<<q);s++){ makeset(n); int cost=0; for (int i=0;i<q;i++){ if (s&(1<<i)){ cost+=c[i]; for (int j=1;j<sz(g[i]);j++){ unionset(g[i][j-1],g[i][j]); } } } ans=min(ans,cost+kruskal()); } printf("%d\n",ans); } return 0; }
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