/*
 * src.cpp
 *
 *  Created on: 2016/08/01
 *      Author: joi
 */

#include <bits/stdc++.h>

using namespace std;

#define FOR(i,a,b) for(int i=(a);i<(b);i++)
#define REP(i,a) FOR(i,0,a)

const int MAX_N=1e2;
const double EPS=1e-10;

#define EQ(a,b) fabs(a-b)<EPS

int R,N;

struct Point{
	double x,y;
	Point(double x=0.0,double y=0.0):x(x),y(y){}
	Point operator +(const Point &p){
		return Point(x+p.x,y+p.y);
	}
	Point operator -(const Point &p){
		return Point(x-p.x,y-p.y);
	}
	Point operator *(double k){
		return Point(x*k,y*k);
	}
	Point operator /(double k){
		return Point(x/k,y/k);
	}
	double norm(){
		return x*x+y*y;
	}
	double abs(){
		return sqrt(norm());
	}
};

typedef pair<Point,Point> P;

typedef Point Vector;

double dot(const Vector &a,const Vector &b){
	return a.x*b.x+a.y*b.y;
}

double cross(const Vector &a,const Vector &b){
	return a.x*b.y-a.y*b.x;
}

struct Segment{
	Point p1,p2;
	Segment(Point p1=Point(),Point p2=Point()):p1(p1),p2(p2){}
};

typedef Segment line;

Point project(Segment s,Point p){
	Vector base=s.p2-s.p1;
	double r=dot(base,p-s.p1)/base.norm();
	return s.p1+base*r;
}

struct Circle{
	Point c;
	double r;
	Circle(Point c=Point(),double r=0.0):c(c),r(r){}
};

struct UFO{
	Circle cir;
	Vector v;
	bool flg;
};

UFO u[MAX_N];

P getCrossPoints(Circle c,line l){
	Point pr=project(l,c.c);
	Vector e=(l.p2-l.p1)/(l.p2-l.p1).abs();
	double base=sqrt(c.r*c.r-(c.c-pr).norm());
	return make_pair(pr+e*base,pr-e*base);
}

int main(){
	do{
		scanf("%d %d",&R,&N);
		if (R || N){
			REP(i,N){
				int x,y,r,v;
				scanf("%d %d %d %d",&x,&y,&r,&v);
				Vector p=Point((double)x,(double)y);
				u[i].cir=Circle(p,(double)r);
				u[i].flg=true;
				if (EQ(p.abs(),0)){
					u[i].v=Point(0.0,0.0);
				}else{
					u[i].v=p*(-1)/p.abs()*(double)v;
				}
			}
			while (1){
				REP(i,N){
					if (u[i].flg){
						if (u[i].cir.c.norm()<u[i].v.norm()){
							u[i].cir.c=Point(0.0,0.0);
						}else{
							u[i].cir.c=u[i].cir.c+u[i].v;
						}
					}
				}
				int a=-1;
				REP(i,N){
					if (u[i].flg){
						if (u[i].cir.c.norm()>R*R){
							if (a==-1 || u[i].cir.c.norm()<u[a].cir.c.norm()){
								a=i;
							}
						}
					}
				}
				if (a==-1){
					break;
				}
				line laser=Segment(Point(),u[a].cir.c);
				Vector e=u[a].cir.c/u[a].cir.c.abs();
				REP(i,N){
					if (u[i].flg){
						if (u[i].cir.c.norm()>R*R){
							Vector pr=project(laser,u[i].cir.c);
							if ((u[i].cir.c-pr).norm()<u[i].cir.r*u[i].cir.r){
								P pa=getCrossPoints(u[i].cir,laser);
								if (dot(e,pa.first)>=0 || dot(e,pa.second)>=0){
									u[i].flg=false;
								}
							}
						}
					}
				}
			}
			int ans=0;
			REP(i,N){
				if (u[i].flg){
					ans++;
				}
			}
			printf("%d\n",ans);
		}
	}while (R || N);
	return 0;
}