#include <iostream>
#include <cstdio>
#include <iomanip>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <bitset>
#include <stack>
#include <utility>
#include <numeric>
#include <algorithm>
#include <functional>
#include <cctype>
#include <complex>
#include <string>
#include <sstream>
#include <fstream>
#include <cassert>
using namespace std;

//common
typedef long long i64,ll;

#define BR "\n"
#define ALL(c) (c).begin(),(c).end()
#define REP(i,n) for(int i=0;i<(int)(n);++i)
#define FOR(i,l,r) for(int i=(l);i<(int)(r);++i)
#define EACH(it,o) for(auto it = (o).begin(); it != (o).end(); ++it)
#define IN(l,v,r) ((l)<=(v) && (v)<(r))

//debug
#ifdef NDEBUG
#define DUMP(x)
#define DUMPLN(x)
#define DEBUG(x)
#define DEBUGLN(x)
#define LINE()
#define LINELN()
#define CHECK(exp,act)
#define STOP(e)
#else
#define DUMP(x)  cerr << #x << " = " << (x)
#define DUMPLN(x)  DUMP(x) <<endl
#define DEBUG(x) DUMP(x) << LINE() << " " << __FILE__
#define DEBUGLN(x) DEBUG(x)<<endl
#define LINE()    cerr<< " (L" << __LINE__ << ")"
#define LINELN()    LINE()<<endl
#define CHECK(exp,act)  if(exp!=act){DUMPLN(exp);DEBUGLN(act);}
#define STOP(e)  CHECK(e,true);if(!(e)) exit(1);
#endif

template<class T> inline string toString(const vector<T>& x) {
	stringstream ss;
	REP(i,x.size()){
		if(i!=0)ss<<" ";
		ss<< x[i];
	}
	return ss.str();
}

template<class T> inline string toString(const vector<vector<T> >& map) {
	stringstream ss;
	REP(i,map.size()){
		if(i!=0)ss<<BR;
		ss<< toString(map[i]);
	}
	return ss.str();
}
template<class K,class V>  string toString(map<K,V>& x) {
	string res;stringstream ss;
	for(auto& p:x)ss<< p.first<<":" << p.second<<" ";
	return ss.str();
}

string BITtoString(int bit){
    stringstream ss;
    while(bit!=0){ss<<(bit%2);bit/=2;}
    string res=ss.str();reverse(ALL(res));
    return res;
}

template<typename T,typename V> inline T pmod(T v,V MOD){
	return (v%MOD+MOD)%MOD;
}
double pfmod(double v,double MOD){
	return fmod(fmod(v,MOD)+MOD,MOD);
}

class Comp{
public:
	bool operator () (const pair<int,int>& l,const pair<int,int>& r){
		if(l.first!=r.first)return l.first>r.first;
		return l.second<r.second;
	}
};

namespace Ps{
	const double EPS = 1e-8;
	const double INF = 1e12;

	typedef complex<double> P;
	#define X(a) (real(a))
	#define Y(a) (imag(a))
	
	// a×b
	double cross(const P& a,const P& b){
		return imag(conj(a)*b);
	}
	// a・b
	double dot(const P&a,const P& b) {
		return real(conj(a)*b);
	}

	 int ccw(const P& a,P b,P c){
		b -= a; c -= a;
		  if (cross(b,c) > 0)   return +1;       // counter clockwise
		  if (cross(b,c) < 0)   return -1;       // clockwise
		  if (dot(b,c) < 0)     return +2;       // c--a--b on line
		  if (norm(b) < norm(c)) return -2;       // a--b--c on line
		  return 0;
	  }
}
using namespace Ps;

double Abs(double a){double ret=max(a,-a);if(ret>M_PI)ret=2*M_PI-ret;return ret;}
class Main{
public:
	bool canReach(int x,int y,int w,int a,int d){
		if((ll)x*x+(ll)y*y<=(ll)a*a){
			double wr=w*M_PI/180;
			if(wr>M_PI)wr-=2*M_PI;
			if(Abs(wr-atan2(y,x))<=d*M_PI/180/2)return true;
		}
		return false;
	}

	void run(){

		while(true){
			int H,R;scanf("%d%d",&H,&R);if(H==0)break;

			vector<int> xs(H),ys(H);
			REP(h,H)scanf("%d%d",&xs[h],&ys[h]);
			int U,M,S,du,dm,ds;scanf("%d%d%d%d%d%d",&U,&M,&S,&du,&dm,&ds);

			vector<int> uxs(U),uys(U);vector<int> mxs(M),mys(M);vector<int> sxs(S),sys(S);
			REP(i,U)scanf("%d%d",&uxs[i],&uys[i]);
			REP(i,M)scanf("%d%d",&mxs[i],&mys[i]);
			REP(i,S)scanf("%d%d",&sxs[i],&sys[i]);
			
			vector<int> ws(R),as(R);
			REP(i,R)scanf("%d%d",&ws[i],&as[i]);


			vector<pair<int,int>> res;
			REP(h,H){
				int x=xs[h],y=ys[h];

				int okc=0;
				REP(r,R){
					int w=ws[r],a=as[r];
					bool ok=false;
					if(canReach(x,y,w,a,du))ok=true;
					REP(i,U)if(canReach(x-uxs[i],y-uys[i],w,a,du))ok=false;
					REP(i,M)if(canReach(x-mxs[i],y-mys[i],w,a,dm))ok=false;
					REP(i,S)if(canReach(x-sxs[i],y-sys[i],w,a,ds))ok=false;
					if(ok)okc++;
				}
				res.push_back(make_pair(okc,h+1));
			}
			sort(ALL(res),Comp());

			int Mh=res[0].first;
			
			if(Mh==0){
				cout<<"NA"<<endl;continue;
			}

			for(int i=0;i<H && Mh==res[i].first;i++){
				if(i!=0)cout <<" ";
				cout << res[i].second; 
			}
			cout <<endl;
		}
	}
};

 int main(){
	//ios::sync_with_stdio(false);
 	Main().run();
 	return 0;
 }