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| #include<algorithm> #include<iostream> #include<iomanip> #include<cstring> #include<cstdlib> #include<climits> #include<vector> #include<cstdio> #include<cmath> #include<queue> using namespace std;
inline const int Get_Int() { int num=0,bj=1; char x=getchar(); while(x<'0'||x>'9') { if(x=='-')bj=-1; x=getchar(); } while(x>='0'&&x<='9') { num=num*10+x-'0'; x=getchar(); } return num*bj; }
const int maxn=5005;
struct Point { int x,y; } p[maxn];
struct Edge { int from,to,dist; int id,bj; double alpha; Edge() {from=to=dist=id=bj=alpha=0;} Edge(int x,int y,int v):from(x),to(y),dist(v) {} Edge(int x,int y,int v,int num):from(x),to(y),dist(v),id(num),bj(0) { alpha=atan2(p[y].y-p[x].y,p[y].x-p[x].x); } bool operator < (const Edge& b) const { return alpha<b.alpha; } };
vector<Edge>edges,a,Out[maxn]; int n,m,cnt=0,vst[maxn],To[maxn];
void Dfs(int Now,int id) { if(vst[Now])return; vst[Now]=1; edges[Now].bj=id; Dfs(To[Now],id); }
void build() { for(int i=1; i<=n; i++) { sort(Out[i].begin(),Out[i].end()); int in=Out[i][0].id^1,out=Out[i].back().id; To[in]=out; for(int j=1; j<Out[i].size(); j++) { in=Out[i][j].id^1,out=Out[i][j-1].id; To[in]=out; } } n=m=0; for(int i=0; i<cnt; i++) if(!vst[i])Dfs(i,++n); for(int i=0; i<cnt; i++) if(edges[i].dist)a.push_back(Edge(edges[i].bj,edges[i^1].bj,edges[i].dist)); for(int i=1; i<=n; i++)a.push_back(Edge(0,i,10000)); }
int Directed_MST(int n,vector<Edge>edges,int root) { int ans=0; static int in[maxn]; static int id[maxn],pre[maxn],vst[maxn]; while(true) { for(int i=1; i<=n; i++)in[i]=INT_MAX/2; for(int i=0; i<edges.size(); i++) { Edge& e=edges[i]; int x=e.from,y=e.to; if(x==y)continue; if(e.dist<in[y]) { pre[y]=x; in[y]=e.dist; } } for(int i=1; i<=n; i++) { if(i==root)continue; if(in[i]==INT_MAX/2)return -1; } memset(id,0,sizeof(id)); memset(vst,0,sizeof(vst)); int cnt=0; in[root]=0; for(int i=1; i<=n; i++) { ans+=in[i]; int now; for(now=i; vst[now]!=i&&!id[now]&&now!=root; now=pre[now])vst[now]=i; if(now!=root&&!id[now]) { id[now]=++cnt; for(int p=pre[now]; p!=now; p=pre[p])id[p]=cnt; } } if(cnt==0)break; for(int i=1; i<=n; i++) if(!id[i])id[i]=++cnt; for(int i=0; i<edges.size(); i++) { Edge& e=edges[i]; int &x=e.from,&y=e.to; if(x!=y)e.dist-=in[y]; x=id[x]; y=id[y]; } n=cnt; root=id[root]; } return ans; }
int main() { n=Get_Int(); m=Get_Int(); for(int i=1; i<=n; i++) { p[i].x=Get_Int(); p[i].y=Get_Int(); } for(int i=1; i<=m; i++) { int x=Get_Int(),y=Get_Int(),v1=Get_Int(),v2=Get_Int(); edges.push_back(Edge(x,y,v1,cnt++)); Out[x].push_back(edges.back()); edges.push_back(Edge(y,x,v2,cnt++)); Out[y].push_back(edges.back()); } build(); printf("%d\n",Directed_MST(n,a,0)-10000); return 0; }
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