#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<cassert>
#include<iostream>
#include<sstream>
#include<string>
#include<vector>
#include<queue>
#include<set>
#include<map>
#include<utility>
#include<numeric>
#include<algorithm>
#include<bitset>
#include<complex>
#include<stack>

using namespace std;

typedef long long Int;
typedef vector<int> vint;
typedef pair<int,int> pint;
typedef vector<string> vstring;
typedef vector<pint> vpint;
typedef stringstream SS;

struct Edge{int to,from,cost;};

#ifdef DEBUG
#define debug cout
#else
SS ss;
#define debug ss
#endif

template<class T> void chmin(T &t, T f) { if (t > f) t = f; }
template<class T> void chmax(T &t, T f) { if (t < f) t = f; }
int in() { int x; scanf("%d", &x); return x; }

#define rep(i,n) for(int i=0;i<(n);++i)
#define repn(i,m,n) for(int i=(m);i<=(n);++i)
#define repd(i,n) for(int i=(n)-1;i>=0;--i)
#define repnd(i,m,n) for(int i=(n);i>=(m);--i)
#define rep0(i,n) for(i=0;i<(n);++i)
#define repn0(i,m,n) for(i=(m);i<=(n);++i)
#define repd0(i,n) for(i=(n)-1;i>=0;--i)
#define repnd0(i,m,n) for(i=(n);i>=(m);--i)
#define all(n) n.begin(),n.end()
#define sz(n) ((int)(n).size())
#define IL for(;;)
#define MP make_pair
#define PB push_back
#define X second
#define Y first
#define PUTLINE debug<<"LINE:"<<__LINE__<<endl;

const int INF = 2147483647/3;
const double EPS = 1e-10;
const double PI = acos(-1.0);

const int dx[]={1,-1,0,0,1,-1,1,-1,0};
const int dy[]={0,0,1,-1,1,-1,-1,1,0};

int sig(double r){return r<-EPS?-1:r>EPS?1:0;}

struct P{
	double x,y;
	P(){}
	P(double x,double y):x(x),y(y){}
	P operator+(const P&a)const{return P(x+a.x,y+a.y);}
	P operator-(const P&a)const{return P(x-a.x,y-a.y);}
	P operator*(const P&a)const{return P(x*a.x-y*a.y,x*a.y+y*a.x);}
	P operator-()const{return P(-x,-y);}
	P operator*(const double&k)const{return P(x*k,y*k);}
	P operator/(const double&k)const{return P(x/k,y/k);}
	double abs2()const{return x*x+y*y;}
	double abs()const{return sqrt(abs2());}
	double arg()const{return atan2(y,x);}
	double dot(const P&a)const{return x*a.x+y*a.y;}
	double det(const P&a)const{return x*a.y-y*a.x;}
	P proj(const P&a)const{double k=dot(a)/abs2();return P(x*k,y*k);}
	bool operator<(const P&a)const{return x!=a.x?x<a.x:y<a.y;}
	bool operator==(const P&a)const{return sig(x-a.x)==0&&sig(y-a.y)==0;}
};

ostream &operator<<(ostream&os,const P&a){os<<"("<<a.x<<", "<<a.y<<")";return os;}
double tri(P a,P b,P c){return (b-a).det(c-a);}

struct L{
	P a,b;
	L(P a,P b):a(a),b(b){}
	P vec()const{return b-a;}
	P proj(const P&p)const{return a+vec().proj(p-a);}
	P refl(const P&p)const{return proj(p)*2-p;}
	int iSP(const P&p)const{
		int s=sig(vec().det(p-a));
		if(s!=0)return s;
		if(sig(vec().dot(p-a))<0)return -2;
		if(sig(vec().dot(p-b))<0)return 2;
		return 0;
	}
	int iLL(const L&l)const{
		if(sig(vec().det(l.vec())))return 1;
		if(sig(vec().det(l.a-a)))return 0;
		return -1;
	}
	bool iLS(const L&l)const{return sig(tri(a,b,l.a))*sig(tri(a,b,l.b))<=0;}
	bool iSS(const L&l)const{return iLS(l)&&l.iLS(*this);}
	P pLL(const L&l)const{return a+vec()*(l.a-a).det(l.vec())/b.det(l.vec());}
	double dLP(const P&p)const{return abs(tri(a,b,p))/vec().abs();}
	double dSP(const P&p)const{
		if(sig(vec().dot(p-a))<=0)return (p-a).abs();
		if(sig(vec().dot(p-b))>=0)return (p-b).abs();
		return dLP(p);
	}
	double dLL(const L&l)const{return iLL(l)?0:dLP(l.a);}
	double dLS(const L&l)const{return iLS(l)?0:min(dLP(l.a),dLP(l.b));}
	double dSS(const L&l)const{return iSS(l)?0:min(min(dSP(l.a),dSP(l.b)),min(l.dSP(a),l.dSP(b)));}
};



int main() {
	int R,n;
	P p[110];
	int r[110],v[110],state[110];
	IL{
		cin>>R>>n;
		if(R==0&&n==0)break;
		rep(i,n)cin>>p[i].x>>p[i].y>>r[i]>>v[i];
		memset(state,0,sizeof(state));
		IL{
			rep(i,n){
				if(state[i]!=0)continue;
				double a=v[i]/p[i].abs();
				if(a>1)a=1;
				p[i]=p[i]-p[i]*a;
			}
			rep(i,n){
				if(state[i]!=0)continue;
				if(p[i].abs()<=R+EPS)state[i]=-1;
			}
			int shoot=-1;
			rep(i,n){
				if(state[i]!=0)continue;
				if(shoot==-1||p[shoot].abs()>p[i].abs())shoot=i;
			}
			if(shoot==-1)break;
//debug<<"shoot:"<<shoot<<endl;
			L l(P(0,0),p[shoot]);
			rep(i,n){
				if(state[i]!=0)continue;
				P pr=l.proj(p[i]);
				if(pr.x/p[shoot].x<0||pr.abs()<=R)pr=p[shoot];
				if((p[i]-pr).abs()<=r[i]+EPS)state[i]=1;
//debug<<i<<" "<<state[i]<<" "<<p[i]<<" "<<pr<<endl;
			}
		}
		int res=0;
		rep(i,n)if(state[i]==-1)++res;
		cout<<res<<endl;
	}
	return 0;
}

Measured memory_bytes: 0