Go: package main

import (
	"bufio"
	"os"
	"math"
	"strings"
	"strconv"
	"fmt"
)

var scanner = bufio.NewScanner(os.Stdin)

const (
	INF = 0x7FFFFFFF
	EPS = 1e-10
)

type Point struct {
	x, y float64
}
func (p *Point) plus(q *Point) *Point {
	return &Point{p.x + q.x, p.y + q.y}
}
func (p *Point) minus(q *Point) *Point {
	return &Point{p.x - q.x, p.y - q.y}
}
func (p *Point) multi(a float64) *Point {
	return &Point{p.x * a, p.y * a}
}
func (p *Point) div(a float64) *Point {
	return &Point{p.x / a, p.y / a}
}
func (p *Point) abs() float64 {
	return math.Sqrt(p.norm())
}
func (p *Point) norm() float64 {
	return p.x*p.x + p.y*p.y
}
func (p *Point) isLessThan(q *Point) bool {
	if p.x != q.x {
		return p.x < q.x && p.y < q.y
	}
	return true
}
func (p *Point) isEqual(q *Point) bool {
	return math.Abs(p.x - q.x) < EPS && math.Abs(p.y - q.y) < EPS
}

type Segment struct {
	p1, p2 *Point
}
func (s *Segment) norm() float64 {
	return (s.p2.x - s.p1.x)*(s.p2.x - s.p1.x) +
		(s.p2.y - s.p1.y)*(s.p2.y - s.p1.y)
}
func (s *Segment) abs() float64 {
	return math.Sqrt(s.norm())
}

func norm(a *Point) float64 {
	return a.x*a.x + a.y*a.y
}

func abs(a *Point) float64 {
	return math.Sqrt(norm(a))
}

func polar(a, r float64) *Point {
	return &Point{math.Cos(r)*a, math.Sin(r)*a}
}

func getDistance(a, b *Point) float64 {
	return abs(a.minus(b))
}

func dot(a, b *Point) float64 {
	return a.x*b.x + a.y*b.y
}

func cross(a, b *Point) float64 {
	return a.x*b.y - a.y*b.x
}

func getDistanceLP(s Segment, p *Point) float64 {
	return cross(s.p2.minus(s.p1), p.minus(s.p1))/ abs(s.p2.minus(s.p1))
}

func getDistanceSP(s Segment, p *Point) float64 {
	if dot(s.p2.minus(s.p1), p.minus(s.p1)) < 0 {
		return abs(p.minus(s.p1))
	}
	if dot(s.p1.minus(s.p2), p.minus(s.p2)) < 0 {
		return abs(p.minus(s.p2))
	}
	return getDistanceLP(s, p)
}

func main() {
	for scanner.Scan() {
		buf := strings.Split(scanner.Text(), " ")
		R, _ := strconv.Atoi(buf[0])
		N, _ := strconv.Atoi(buf[1])
		if R == 0 && N == 0 {
			break
		}
		p := make([]*Point, N)
		r := make([]float64, N)
		v := make([]float64, N)
		d := make([]float64, N)
		nd := make([]float64, N)
		die := make([]bool, N)
		for i := 0; i < N; i++ {
			scanner.Scan()
			buf_ := strings.Split(scanner.Text(), " ")
			_x, _ := strconv.ParseFloat(buf_[0], 64)
			_y, _ := strconv.ParseFloat(buf_[1], 64)
			_r, _ := strconv.ParseFloat(buf_[2], 64)
			_v, _ := strconv.ParseFloat(buf_[3], 64)
			tmp := &Point{_x, _y}
			p[i] = tmp
			r[i] = _r
			v[i] = _v
			nd[i] = getDistance(p[i], &Point{0, 0})
			d[i] = getDistance(p[i], &Point{0, 0})
			die[i] = false
		}
		for {
			for i := 0; i < N; i++ {
				nd[i] = math.Max(float64(R), nd[i]-v[i])
			}
			mini := float64(INF)
			id := -1
			for i := 0; i < N; i++ {
				if die[i] {
					continue
				}
				if nd[i] < EPS+float64(R) {
					continue
				}
				if nd[i] > mini {
					continue
				}
				mini = nd[i]
				id = i
			}
			if id == -1 {
				break
			}
			s := Segment{p[id], p[id]}
			s.p1 = s.p1.div(d[id])
			s.p1 = s.p1.multi(float64(R))
			s.p2 = s.p2.div(d[id])
			s.p2 = s.p2.multi(10000000.0)
			for i := 0; i < N; i++ {
				if nd[i] < EPS + float64(R) {
					continue
				}
				a := p[i]
				a = a.div(d[i])
				a = a.multi(nd[i])
				if getDistanceSP(s, a) < EPS + r[i] {
					die[i] = true
				}
			}
		}
		ans := 0
		for i := 0; i < N; i++ {
			if !die[i] {
				ans++
			}
		}
		fmt.Println(ans)
	}
}

C++: #include <cstdio>
#include <iostream>
#include <vector>
#include <list>
#include <cmath>
#include <fstream>
#include <algorithm>
#include <string>
#include <queue>
#include <set>
#include <map>
#include <complex>
#include <iterator>
#include <cstdlib>
#include <cstring>
#include <sstream>

using namespace std;

#define EPS (1e-10)
#define EQ(a,b) (abs((a) - (b)) < EPS)
#define EQV(a,b) (EQ((a).real(),(b).real()) && EQ((a).imag(),(b).imag()))

typedef complex<double> P;
typedef long long ll;

const double PI=4*atan(1.0);
const int MAX_SIZE = 10000;

// àÏ
double dot(P a, P b) {
  return (a.real() * b.real() + a.imag() * b.imag());
}
// OÏ
double cross(P a, P b) {
  return (a.real() * b.imag() - a.imag() * b.real());
}
// _cª¼üabãÉ é©È¢©
int is_point_on_line(P a, P b, P c) {
  return EQ( cross(b-a, c-a), 0.0 );
}
// 2¼üÌ¼s»è
int is_orthogonal(P a1, P a2, P b1, P b2) {
  return EQ( dot(a1-a2, b1-b2), 0.0 );
}
// 2¼üÌ½s»è
int is_parallel(P a1, P a2, P b1, P b2) {
  return EQ( cross(a1-a2, b1-b2), 0.0 );
}
// _a,bðÊé¼üÆ_cÌÔÌ£
double distance_l_p(P a, P b, P c) {
  return abs(cross(b-a, c-a)) / abs(b-a);
}
// _a,bð[_Æ·éüªÆ_cÆÌ£
double distance_ls_p(P a, P b, P c) {
  if ( dot(b-a, c-a) < EPS ) return abs(c-a);
  if ( dot(a-b, c-b) < EPS ) return abs(c-b);
  return abs(cross(b-a, c-a)) / abs(b-a);
}
// a1,a2ð[_Æ·éüªÆb1,b2ð[_Æ·éüªÌð·»è
int is_intersected_ls(P a1, P a2, P b1, P b2) {
    // üªª½sÈêÍdÈÁÄ¢È¢±ÆÉ·é
    if(abs(cross(a2-a1,b2-b1)) < EPS){
        return 0;
    }
    return ( cross(a2-a1, b1-a1) * cross(a2-a1, b2-a1) < EPS ) &&
        ( cross(b2-b1, a1-b1) * cross(b2-b1, a2-b1) < EPS );
}
// a1,a2ð[_Æ·éüªÆb1,b2ð[_Æ·éüªÌð_vZ
P intersection_ls(P a1, P a2, P b1, P b2) {
  P b = b2-b1;
  double d1 = abs(cross(b, a1-b1));
  double d2 = abs(cross(b, a2-b1));
  double t = d1 / (d1 + d2);

  return a1 + (a2-a1) * t;
}
// a1,a2ðÊé¼üÆb1,b2ðÊé¼üÌð·»è
int is_intersected_l(P a1, P a2, P b1, P b2) {
  return !EQ( cross(a1-a2, b1-b2), 0.0 );
}
// a1,a2ðÊé¼üÆb1,b2ðÊé¼üÌð_vZ
P intersection_l(P a1, P a2, P b1, P b2) {
  P a = a2 - a1; P b = b2 - b1;
  return a1 + a * cross(b, b1-a1) / cross(b, a);
}
/*
~üÆüªÌð·»è
*/
bool isCircleCrossLine(P a,P b,P c,double r){
	double d1 = abs(a-c);
	double d2 = abs(b-c);
    // üªªÉÜÜêéÆ«A±±ÌRgAEgðÍ¸¹Îtrue(ð·)ÆÈé
	//if(d1<r&&d2<r)
	//	return true;
	double d = distance_ls_p(a,b,c);
	return (EQ(d,r)||d<r);
}
// Op`ÌàÉ_ª é©Ç¤©
// OÏÌ³ª·×Ä¯¶ÈçàÉ_ è
bool isInTriangle(P p1,P p2,P p3,P s){
	P a=p1-s;
	P b=p2-s;
	P c=p3-s;
	return ((cross(a,b)>0&&cross(b,c)>0&&cross(c,a)>0)||(cross(a,b)<0&&cross(b,c)<0&&cross(c,a)<0));
}
// é`ÌÉ_ª¶Ý·é©Ç¤©
bool isInRectangle(P p1,P p2,P p3,P p4,P s){
	P a=p1-s;
	P b=p2-s;
	P c=p3-s;
    P d=p4-s;
	return ((cross(a,b)>0&&cross(b,c)>0&&cross(c,d)>0&&cross(d,a)>0)
        ||(cross(a,b)<0&&cross(b,c)<0&&cross(c,d)<0&&cross(d,a)<0));
}
// Op`ÌÊÏðÀW©çvZ
double calcAreaOfTriangle(P a,P b,P c){
	return abs((b.real()-a.real())*(c.imag()-a.imag()) - (c.real()-a.real())*(b.imag()-a.imag()))/2;
}
// ^¦çê½~ÌÍÍàÉ_ª¶Ý·é©Ç¤©
bool isContainingDot(P c,double r,P a){
	return (((c.real()-a.real())*(c.real()-a.real())
		+(c.imag()-a.imag())*(c.imag()-a.imag())<r*r)
		||EQ((c.real()-a.real())*(c.real()-a.real())
		+(c.imag()-a.imag())*(c.imag()-a.imag()),r*r));
}
// ½p`ÌÊÏö®
double calcPolygonArea(vector<P> p){
	double sum=0;
	for(int i = 0; i < p.size(); i++)
		sum+=cross(p[i],p[(i+1)%(p.size())]);
	return sum/2;
}
// 2xNgÔÌpx
// a©çbÖ¶üèÅ½x©(0->2*PI)
double diffAngle(P a,P b){
    double angle=atan2(cross(a,b),dot(a,b));
    if(angle<0)
        return 2*PI+angle;
    return angle;
}

struct UFO{
  P p;
  int v;
  int r;
  double dist;
};

int main(){

  int r,n;
  while(cin>>r>>n&&!(r==0&&n==0)){
    vector<UFO> us;
    for(int i = 0; i < n; i++){
      UFO u;
      int x,y;
      cin>>x>>y>>u.r>>u.v;
      u.p=P(x,y);
      u.dist=abs(P(0,0)-u.p);
      us.push_back(u);
    }
    bool isExited[101];
    fill(isExited,isExited+101,true);
    int breaking=0;
    int leftUFO=us.size();
    // UFOª·×ÄÚW©çÁ¦éÜÅ±¯é
    while(leftUFO){
      // 1ªoß³¹é
      // ÊuXV
      for(int i = 0; i < us.size(); i++){
	if(!isExited[i])continue;
	us[i].dist=max(0.0,us[i].dist-us[i].v);
	P e=P(us[i].p.real(),us[i].p.imag());
	e=-e;
	e/=abs(e);
	e*=us[i].v;
	us[i].p+=e;
      }
      // eUFOÉ½¢µÄÄyÑ¼a»è
      for(int i = 0; i < us.size(); i++){
	if(!isExited[i])continue;
	if(us[i].dist<r||EQ(us[i].dist,r)){
	  isExited[i]=false;
	  leftUFO--;
	}
      }
      if(leftUFO==0)break;
      // Ä»è
      int idx=-1;
      double minDist;
      for(int i = 0; i < us.size(); i++){
	if(!isExited[i])continue;
	// Åà¼aªß¢àÌðßé
	if(idx==-1||minDist>max(0.0,us[i].dist)){
	  idx=i;
	  minDist=us[i].dist;
	}
      }
      // ±ÌûüÉ[UðúÂ
      P ang=us[idx].p;
      ang*=10000;
      // ÔÂ©éàÌðT·
      for(int i = 0; i < us.size(); i++){
	if(!isExited[i])continue;
	double dis=distance_ls_p(P(0,0),ang,us[i].p);
	if(dis<us[i].r||EQ(dis,us[i].r)){
	  isExited[i]=false;
	  leftUFO--;
	  breaking++;
	}
      }
    }
    cout<<us.size()-breaking<<endl;
  }

  return 0;
}