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 <cmath>
#include <climits>
#include <algorithm>
using namespace std;
#define eps 1e-9
#define inf INT_MAX
struct U {
  double dist, ta, si, co;
  int r, v, vit;
  U(){}
  U(double dist, double ta, double si, double co, int r, int v, int vit) : dist(dist), ta(ta), si(si), co(co), r(r), v(v), vit(vit) {
  }
};
bool comp(const U& a, const U& b) {
  return a.dist<b.dist;
}
int R, n;
U ufo[100];
int main() {
  while (scanf("%d%d",&R,&n)) {
    if (!R&&!n) break;
    for (int i=0; i<n; i++) {
      int x, y, r, v;
      scanf("%d%d%d%d",&x,&y,&r,&v);
      double dist=sqrt((double)x*x+y*y);
      ufo[i]=U(dist, (x==0?inf:(double)y/x), y/dist, x/dist, r, v, 0);
    }
    int res=0, exec=0;
    while (exec<n) {
      for (int i=0; i<n; i++) {
        if (ufo[i].vit) continue;
        // printf("%d\n",ufo[i].v);
        ufo[i].dist-=(double)ufo[i].v;
        if (ufo[i].dist<R+eps) {
          res++; exec++;
          ufo[i].vit=0;
        }
      }
      sort(ufo, ufo+n, comp);
      double getr, gets, getc;
      for (int i=0; i<n; i++) {
        if (ufo[i].vit) continue;
        // puts("ok");
        exec++;
        ufo[i].vit=0;
        getr=ufo[i].ta;
        gets=ufo[i].si;
        getc=ufo[i].co;
        break;
      }
      for (int i=0; i<n; i++) {
        if (ufo[i].vit) continue;
        if ((ufo[i].si>-eps)!=(gets>-eps)&&(ufo[i].co>-eps)!=(getc>-eps)) continue;
        double dis;
        if (getr!=inf) dis=abs(getr*ufo[i].dist*ufo[i].co-ufo[i].dist*ufo[i].si)/sqrt(getr*getr+1);
        else dis=abs(ufo[i].co);
        if (dis<ufo[i].r+eps) {
          exec++;
          ufo[i].vit=0;
        }
      }
    }
    printf("%d\n",res);
  }
}