using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace _0204
{
    public class Program

    {
        public const double EPS = 1e-4;

        enum Status { alive, hasInveded, hasShot }

        private static int areaR;
        private static UFO[] ufos;
        private class UFO
        {
            public Point P { get; private set; }
            public int R { get; private set; }
            public int V { get; private set; }
            public Status status { get; set; }
            public UFO(int[] v)
            {
                P = new Point(v[0], v[1]);
                R = v[2];
                V = v[3];
                status = Status.alive;
            }
            public Point CalcPos(int time)
            {
                Vector s = new Vector(P.X, P.Y);
                Vector v = s - (s / s.Length) * time * V;
                return new Point(v.X, v.Y);
            }

            public bool ArrivedAtArea(int time)
            {
                return P.Distance - time * V <= areaR;
            }
        }

        private class Point
        {
            public double X { get; private set; }
            public double Y { get; private set; }
            public double Distance { get { return Math.Sqrt(X * X + Y * Y); } }
            public Point(double x, double y) { X = x; Y = y; }

        }

        public static void Main(string[] args)
        {
            while (true)
            {
                int[] rn = RIntAr();
                if (rn.Sum() == 0) break;

                Init(rn);

                int time = 1;
                while (ufos.Any(x => x.status == Status.alive))
                {
                    foreach (var ufo in ufos.Where(x => x.status == Status.alive))
                    {
                        if (ufo.ArrivedAtArea(time)) ufo.status = Status.hasInveded;
                    }
                    UFO nearest = ufos.Where(x => x.status == Status.alive).OrderBy(x => x.CalcPos(time).Distance).FirstOrDefault();
                    Shotbeam(nearest, time);
                    time++;
                }

                Console.WriteLine(ufos.Count(x => x.status == Status.hasInveded));
            }
        }

        private static void Shotbeam(UFO nearest, int time)
        {
            if (nearest == null) return;

            Vector beam = new Vector(nearest.CalcPos(time).X, nearest.CalcPos(time).Y) * 10000000;
            Vector u = beam / beam.Length;

            foreach (var ufo in ufos.Where(x => x.status == Status.alive))
            {
                Point cutPos = ufo.CalcPos(time);
                double d = Vector.RangeOfPointAndLineSegment((u * areaR).X, (u * areaR).Y, beam.X, beam.Y, cutPos.X, cutPos.Y);
                if (d <= ufo.R + EPS)
                {
                    ufo.status = Status.hasShot;
                }
            }
        }

        private static void Init(int[] rn)
        {
            areaR = rn[0];
            ufos = new UFO[rn[1]];
            for (int i = 0 ; i < rn[1] ; i++)
            {
                ufos[i] = new UFO(RIntAr());
            }
        }

        static string RSt() { return Console.ReadLine(); }
        static int RInt() { return int.Parse(Console.ReadLine().Trim()); }
        static long RLong() { return long.Parse(Console.ReadLine().Trim()); }
        static double RDouble() { return double.Parse(Console.ReadLine()); }
        static string[] RStAr(char sep = ' ') { return Console.ReadLine().Trim().Split(sep); }
        static int[] RIntAr(char sep = ' ') { return Array.ConvertAll(Console.ReadLine().Trim().Split(sep), e => int.Parse(e)); }
        static long[] RLongAr(char sep = ' ') { return Array.ConvertAll(Console.ReadLine().Trim().Split(sep), e => long.Parse(e)); }
        static double[] RDoubleAr(char sep = ' ') { return Array.ConvertAll(Console.ReadLine().Trim().Split(sep), e => double.Parse(e)); }
        static string WAr<T>(IEnumerable<T> array, string sep = " ") { return string.Join(sep, array.Select(x => x.ToString()).ToArray()); }
    }

    public partial struct Vector : IFormattable
    {

        #region Internal Fields	
        internal double _x;
        internal double _y;
        #endregion Internal Fields	

        #region Public Properties	
        public double X { get { return _x; } set { _x = value; } }
        public double Y { get { return _y; } set { _y = value; } }
        #endregion Public Properties

        #region Constructors
        public Vector(double x, double y) { _x = x; _y = y; }
        public Vector(double[] line) { _x = line[0]; _y = line[1]; }
        #endregion Constructors

        #region Public Methods	
        public static bool operator ==(Vector vector1, Vector vector2) { return vector1.X == vector2.X && vector1.Y == vector2.Y; }
        public static bool operator !=(Vector vector1, Vector vector2) { return !(vector1 == vector2); }
        public static bool Equals(Vector vector1, Vector vector2) { return vector1.X.Equals(vector2.X) && vector1.Y.Equals(vector2.Y); }
        public override bool Equals(object o)
        {
            if ((null == o) || !(o is Vector)) return false;
            Vector value = (Vector)o;
            return Vector.Equals(this, value);
        }
        public bool Equals(Vector value) { return Vector.Equals(this, value); }
        public override int GetHashCode() { return X.GetHashCode() ^ Y.GetHashCode(); }
        #endregion Public Methods	

        #region Internal Properties	
        public override string ToString() { return ConvertToString(null /* format string */, null /* format provider */); }
        public string ToString(IFormatProvider provider) { return ConvertToString(null /* format string */, provider); }
        string IFormattable.ToString(string format, IFormatProvider provider) { return ConvertToString(format, provider); }
        internal string ConvertToString(string format, IFormatProvider provider)
        {
            char separator = ' ';
            return String.Format(provider, "{1:" + format + "}{0}{2:" + format + "}", separator, _x, _y);
        }
        #endregion Internal Properties	

        #region Public Methods

        public double Length { get { return Math.Sqrt(_x * _x + _y * _y); } }
        public double LengthSquared { get { return _x * _x + _y * _y; } }
        public void Normalize()
        {
            this /= Math.Max(Math.Abs(_x), Math.Abs(_y));
            this /= Length;
        }

        public static double CrossProduct(Vector vector1, Vector vector2) { return vector1._x * vector2._y - vector1._y * vector2._x; }
        public static double AngleBetween(Vector vector1, Vector vector2)
        {
            double sin = vector1._x * vector2._y - vector2._x * vector1._y;
            double cos = vector1._x * vector2._x + vector1._y * vector2._y;
            return Math.Atan2(sin, cos) * (180 / Math.PI);
        }

        public static Vector Rotation(Vector v, double angle) { return Rotation(v, angle, new Vector(0, 0)); }
        public static Vector Rotation(Vector v, double angle, Vector basePoint)
        {
            double rad = angle * Math.PI / 180;
            Vector res = new Vector();
            res.X = (v.X - basePoint.X) * Math.Cos(rad) - (v.Y - basePoint.Y) * Math.Sin(rad) + basePoint.X;
            res.Y = (v.X - basePoint.X) * Math.Sin(rad) + (v.Y - basePoint.Y) * Math.Cos(rad) + basePoint.Y;
            return res;
        }

        /// <summary>
        /// 線分ABと点Pの距離を求める
        /// </summary>
        /// <param name="sx">線分ABの始点x座標</param>
        /// <param name="sy">線分ABの始点y座標</param>
        /// <param name="ex">線分ABの終点x座標</param>
        /// <param name="ey">線分ABの終点y座標</param>
        /// <param name="px">地点Pのx座標</param>
        /// <param name="py">地点Pのy座標</param>
        /// <returns></returns>
        public static double RangeOfPointAndLineSegment(double sx, double sy, double ex, double ey, double px, double py)
        {
            Vector A = new Vector(sx, sy);
            Vector B = new Vector(ex, ey);
            Vector P = new Vector(px, py);
            return (P - CalcClosestPointOnLineSegment(A, B, P)).Length;
        }

        public static Vector CalcClosestPointOnLineSegment(Vector A, Vector B, Vector P)
        {

            Vector a = B - A;
            Vector b = P - A;
            double r = (a * b) / (a * a);

            if (r <= 0) return A;
            else if (r >= 1) return B;
            else return A + r * a;
        }

        /// <summary>
        /// 線分ABと線分CDの交差判定
        /// </summary>
        /// <param name="ax">線分ABの始点x座標</param>
        /// <param name="ay">線分ABの始点y座標</param>
        /// <param name="bx">線分ABの終点x座標</param>
        /// <param name="by">線分ABの終点y座標</param>
        /// <param name="cx">線分CDの始点x座標</param>
        /// <param name="cy">線分CDの始点y座標</param>
        /// <param name="dx">線分CDの終点x座標</param>
        /// <param name="dy">線分CDの終点y座標</param>
        /// <param name="px">交点Pのx座標</param>
        /// <param name="py">交点Pのy座標</param>
        /// <returns></returns>
        public static bool IsLineSegmentCrossed(double ax, double ay, double bx, double by, double cx, double cy, double dx, double dy, out double px, out double py)
        {
            Vector a = new Vector(ax, ay);
            Vector b = new Vector(bx, by);
            Vector c = new Vector(cx, cy);
            Vector d = new Vector(dx, dy);

            px = 0;
            py = 0;

            if ((CrossProduct(b - a, c - a) * CrossProduct(b - a, d - a) < 1e-10) &&
                (CrossProduct(d - c, a - c) * CrossProduct(d - c, b - c) < 1e-10))
            {

                Vector cd = d - c;
                double d1 = Math.Abs(CrossProduct(cd, a - c));
                double d2 = Math.Abs(CrossProduct(cd, b - c));
                double t = d1 / (d1 + d2);

                px = (a + (b - a) * t).X;
                py = (a + (b - a) * t).Y;

                return true;
            }
            else
            {
                return false;
            }

        }


        #endregion Public Methods

        #region Public Operators

        public static Vector operator -(Vector vector) { return new Vector(-vector._x, -vector._y); }
        public void Negate() { _x = -_x; _y = -_y; }
        public static Vector operator +(Vector vector1, Vector vector2) { return new Vector(vector1._x + vector2._x, vector1._y + vector2._y); }
        public static Vector Add(Vector vector1, Vector vector2) { return new Vector(vector1._x + vector2._x, vector1._y + vector2._y); }
        public static Vector operator -(Vector vector1, Vector vector2) { return new Vector(vector1._x - vector2._x, vector1._y - vector2._y); }
        public static Vector Subtract(Vector vector1, Vector vector2) { return new Vector(vector1._x - vector2._x, vector1._y - vector2._y); }
        public static Vector operator *(Vector vector, double scalar) { return new Vector(vector._x * scalar, vector._y * scalar); }
        public static Vector Multiply(Vector vector, double scalar) { return new Vector(vector._x * scalar, vector._y * scalar); }
        public static Vector operator *(double scalar, Vector vector) { return new Vector(vector._x * scalar, vector._y * scalar); }
        public static Vector Multiply(double scalar, Vector vector) { return new Vector(vector._x * scalar, vector._y * scalar); }
        public static Vector operator /(Vector vector, double scalar) { return vector * (1.0 / scalar); }
        public static Vector Divide(Vector vector, double scalar) { return vector * (1.0 / scalar); }
        public static double operator *(Vector vector1, Vector vector2) { return vector1._x * vector2._x + vector1._y * vector2._y; }
        public static double Multiply(Vector vector1, Vector vector2) { return vector1._x * vector2._x + vector1._y * vector2._y; }
        public static double Determinant(Vector vector1, Vector vector2) { return vector1._x * vector2._y - vector1._y * vector2._x; }

        #endregion Public Operators
    }

}



Measured memory_bytes: 16372