114 lines
1.9 KiB
C++
114 lines
1.9 KiB
C++
#include<cstdio>
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#include<cstring>
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#include<cmath>
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#include<algorithm>
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#include<map>
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using namespace std;
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map<int,int> s;
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map<int,int>::iterator it;
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double eps=1e-10;
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int n,m;
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const double pi=acos(-1.0);
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int fa[1001],x[1001],y[1001],cx[1001],cy[1001],r[1001];
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struct Eve
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{
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double ang;
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int id,L,f;
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bool operator<(const Eve &b)const
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{
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if(fabs(ang-b.ang)>eps)return ang<b.ang;
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return f>b.f;
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}
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}p[8001];
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int find(int x)
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{
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if(x==fa[x])return x;
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return fa[x]=find(fa[x]);
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}
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void U(int i,int j)
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{
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fa[find(i)]=find(j);
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}
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int main()
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{
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while(~scanf("%d%d",&n,&m))
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{
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for(int i=0;i<n;i++){scanf("%d%d",x+i,y+i);fa[i]=i;}
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for(int i=0;i<m;i++)scanf("%d%d%d",cx+i,cy+i,r+i);
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if(m==0){puts("0");continue;}
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for(int i=0;i<n;i++)
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{
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int t=0;
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for(int j=i+1;j<n;j++)
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{
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p[t].ang=atan2((double)(y[j]-y[i]),(double)(x[j]-x[i]));
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if(p[t].ang<-eps)p[t].ang+=pi*2;
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p[t].id=j;
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p[t].L=(x[j]-x[i])*(x[j]-x[i])+(y[j]-y[i])*(y[j]-y[i]);
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p[t++].f=0;
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}
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for(int j=0;j<m;j++)
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{
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double th=atan2((double)(cy[j]-y[i]),(double)(cx[j]-x[i]));
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int d=(cx[j]-x[i])*(cx[j]-x[i])+(cy[j]-y[i])*(cy[j]-y[i]);
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double dt=asin((double)r[j]/sqrt((double)d));
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int ds=d-r[j]*r[j];
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double u=th-dt,v=th+dt;
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if(u<0)u+=pi*2,v+=pi*2;
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if(v<pi*2+eps)
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{
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p[t].L=ds;
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p[t].ang=u;
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p[t++].f=1;
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p[t].L=ds;
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p[t].ang=v;
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p[t++].f=-1;
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}
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else
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{
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p[t].L=ds;
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p[t].ang=u;
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p[t++].f=1;
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p[t].L=ds;
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p[t].ang=pi*2;
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p[t++].f=-1;
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p[t].L=ds;
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p[t].ang=0;
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p[t++].f=1;
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p[t].L=ds;
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p[t].ang=v-pi*2;
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p[t++].f=-1;
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}
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}
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sort(p,p+t);
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s.clear();
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for(int j=0,tot=0;j<t;j++)
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{
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if(p[j].f==0)
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{
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if(tot==0)U(i,p[j].id);
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else
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{
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it=s.begin();
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if(it->first>p[j].L)U(i,p[j].id);
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}
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}
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else if(p[j].f==1)
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{
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s[p[j].L]++;
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++tot;
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}
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else
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{
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s[p[j].L]--;
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if(s[p[j].L]==0)s.erase(p[j].L);
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--tot;
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}
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}
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}
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int cnt=0;
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for(int i=0;i<n;i++)if(find(i)==i)++cnt;
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printf("%d\n",--cnt);
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}
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}
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