using System; using System.Collections.Generic; using System.Collections; using System.Collections.Specialized; using System.Linq; using System.Text; using System.IO; using System.Reflection; using static System.Math; using System.Numerics; using System.Threading; using System.Runtime.CompilerServices; using System.Diagnostics; //using nint=System.Int32; static class Program{ const int mod=(int)1e9+7; static void Main(){ Sc sc=new Sc(); var s=sc.Ia; StringBuilder sb=new StringBuilder(); for(int i = 1;i<=s[1];i++) { var e=Fu(s[0],i); if(e.Item1==0||(e.Item1==1&&e.Item2>=2)){ sb.Append("0\n"); } else if(e.Item2>=2){ Mint p=Fp(e.Item1,e.Item2-2); p*=Fp(e.Item3,e.Item4); p*=e.Item1+1; p*=e.Item1-1; sb.Append(p+"\n"); } else { sb.Append((Fp(e.Item1,e.Item2)*Fp(e.Item3,e.Item4)%mod)+"\n"); } } Console.Write(sb); } static (long,long,long,long) Fu(long n,long p) {return (n/p,p-(n-n/p*p),n/p+1,n-n/p*p);} static long Fp(long x,long e){ long r=1; while(e>0){ if((e&1)>0){r*=x;r%=mod;} x=(x*x)%mod; e>>=1; } return r; } } public struct Mint{ const int mod=(int)1e9+7; private long d; public Mint(long d){this.d=d;} public static implicit operator Mint(long d){return new Mint(d%mod);} public static explicit operator long(Mint d){return d.d;} public override string ToString(){return d.ToString();} public static Mint operator+(Mint a,long b){a.d=(a.d+b)%mod;return a;} public static Mint operator+(Mint a,Mint b){a.d=(a.d+b.d)%mod;return a;} public static Mint operator-(Mint a,long b){a.d=(mod+a.d-b)%mod;return a;} public static Mint operator-(Mint a,Mint b){a.d=(mod+a.d-b.d)%mod;return a;} public static Mint operator*(Mint a,long b){a.d=(a.d*b)%mod;return a;} public static Mint operator*(Mint a,Mint b){a.d=(a.d*b.d)%mod;return a;} public static Mint operator/(Mint a,long b){a.d=(a.d*Mi(b))%mod;return a;} public static Mint operator/(Mint a,Mint b){a.d=(a.d*Mi(b.d))%mod;return a;} public static bool operator==(Mint a,long b){return (long)a==b;} public static bool operator!=(Mint a,long b){return (long)a!=b;} public override bool Equals(object obj){return false;} public override int GetHashCode(){return 0;} public static long Mi(long a){ a=(a+mod)%mod; long b=mod,u=1,v=0; while(b>0){ long t=a/b; a-=t*b;(a,b)=(b,a); u-=t*v;(u,v)=(v,u); } u%=mod; if(u<0){u+=mod;} return u%mod; } } public class Sc{ public int I{get{return int.Parse(Console.ReadLine());}} public long L{get{return long.Parse(Console.ReadLine());}} public double D{get{return double.Parse(Console.ReadLine());}} public string S{get{return Console.ReadLine();}} public int[] Ia{get{return Array.ConvertAll(Console.ReadLine().Split(),int.Parse);}} public long[] La{get{return Array.ConvertAll(Console.ReadLine().Split(),long.Parse);}} public double[] Da{get{return Array.ConvertAll(Console.ReadLine().Split(),double.Parse);}} public string[] Sa{get{return Console.ReadLine().Split();}} public object[] Oa{get{return Console.ReadLine().Split();}} public int[] Ia2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),int.Parse);}} public int[] Ia3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),int.Parse);} public int[] Ia3(int a){return Array.ConvertAll((Console.ReadLine()+" "+a.ToString()).Split(),int.Parse);} public long[] La2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),long.Parse);}} public long[] La3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),long.Parse);} public long[] La3(int a){return Array.ConvertAll((Console.ReadLine()+" "+a.ToString()).Split(),long.Parse);} public double[] Da2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),double.Parse);}} public double[] Da3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),double.Parse);} public T[] Arr(int n,Func f){var a=new T[n];for(int i=0;i(int n,Func f){var a=new T[n];for(int i=0;i(int n,Func f){var a=new T[n];for(int i=0;i(int n,Func f){var a=new T[n];for(int i=0;i