using System;
using System.Collections.Generic;
using System.Collections;
using System.Collections.Specialized;
using System.Linq;
using System.Text;
using System.Text.RegularExpressions;
using System.IO;
using System.Reflection;
using static System.Math;
using System.Numerics;
using System.Threading;
using System.Runtime.CompilerServices;
using System.Diagnostics;
static class Program{
	const long inf=long.MaxValue>>1;
	const int mod=998244353;
	static Sc sc=new Sc();
	static void Main(){
		Pt pt=new Pt(Solve);
		pt.Sm();
	}
	static void Solve(Pt pt) {
		var (n,m)=sc.Tp2<int>();
		var a=sc.Ia;
		var h = new int[200001];
		for(int i = 0;i<n;i++) { h[a[i]]++; }
		var ans = new Mint[m+1];
		for(int i = m;i>0;i--) {
			int p = 0;
			for(int j = i;j<h.Length;j+=i) { p+=h[j]; }
			for(int j = i;j<=m;j+=i) { ans[i]-=ans[j]; }
			ans[i]+=Fp(2,p);
			ans[i]-=1;
		}
		pt.Wl(string.Join("\n",ans.Skip(1)));
	}
	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 = 998244353;
	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=(mod+a.d+b%mod)%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)%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=b%mod*a.d%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 Pt{
	private StringBuilder sb=new StringBuilder();
	public Pt(Action<Pt> f){f(this);}
	public void W(int s){sb.Append(s);}
	public void W(long s){sb.Append(s);}
	public void W(double s){sb.Append(s);}
	public void W(decimal s){sb.Append(s);}
	public void W(char s){sb.Append(s);}
	public void W(string s){sb.Append(s);}
	public void W(object s){sb.Append(s);}
	public void W(params object[] s){sb.Append(string.Join(" ",s));}
	public void Wl(int s){sb.Append(s).AppendLine();}
	public void Wl(long s){sb.Append(s).AppendLine();}
	public void Wl(double s){sb.Append(s).AppendLine();}
	public void Wl(decimal s){sb.Append(s).AppendLine();}
	public void Wl(char s){sb.Append(s).AppendLine();}
	public void Wl(string s){sb.AppendLine(s);}
	public void Wl(object s){sb.Append(s).AppendLine();}
	public void Wl(int[] s){sb.AppendLine(string.Join(" ",s));}
	public void Wl(long[] s){sb.AppendLine(string.Join(" ",s));}
	public void Wl(double[] s){sb.AppendLine(string.Join(" ",s));}
	public void Wl(string[] s){sb.AppendLine(string.Join(" ",s));}
	public void Wl(params object[] s){sb.AppendLine(string.Join(" ",s));}
	public void Wl(){sb.AppendLine();}
	public void Sm(){Console.Write(sb);}
	public void Op(StreamWriter sw){
		sw.Write(sb);
		sw.Close();
	}
	public static bool operator ==(Pt a,Pt b){return a.sb.ToString()==b.sb.ToString();}
	public static bool operator !=(Pt a,Pt b){return a.sb.ToString()!=b.sb.ToString();}
	public override bool Equals(object obj){return false;}
	public override int GetHashCode(){return 0;}
}
public class Sc{
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected virtual string Rl(){return Console.ReadLine();}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected virtual string[] Sp(string st){return st.Split();}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	private T Ct<T>(string s){return (T)Convert.ChangeType(s,typeof(T));}
	public virtual int I{get{return int.Parse(Rl());}}
	public virtual long L{get{return long.Parse(Rl());}}
	public virtual double D{get{return double.Parse(Rl());}}
	public virtual string S{get{return Rl();}}
	public int[] Ia{get{return Array.ConvertAll(Sp(Rl()),int.Parse);}}
	public long[] La{get{return Array.ConvertAll(Sp(Rl()),long.Parse);}}
	public double[] Da{get{return Array.ConvertAll(Sp(Rl()),double.Parse);}}
	public string[] Sa{get{return Sp(Rl());}}
	public object[] Oa{get{return Sp(Rl());}}
	public int[] Ia2{get{return Array.ConvertAll(Sp("0 "+Rl()+" 0"),int.Parse);}}
	public int[] Ia3(string a,string b){return Array.ConvertAll(Sp(a+Rl()+b),int.Parse);}
	public int[] Ia3(int a){return Array.ConvertAll(Sp(Rl()+" "+a.ToString()),int.Parse);}
	public long[] La2{get{return Array.ConvertAll(Sp("0 "+Rl()+" 0"),long.Parse);}}
	public long[] La3(string a,string b){return Array.ConvertAll(Sp(a+Rl()+b),long.Parse);}
	public long[] La3(int a){return Array.ConvertAll(Sp(Rl()+" "+a.ToString()),long.Parse);}
	public double[] Da2{get{return Array.ConvertAll(Sp("0 "+Rl()+" 0"),double.Parse);}}
	public double[] Da3(string a,string b){return Array.ConvertAll(Sp(a+Rl()+b),double.Parse);}
	public T[] Arr<T>(int n,Func<T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f();}return a;}
	public T[] Arr<T>(int n,Func<int,T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i);}return a;}
	public T[] Arr<T>(int n,Func<string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(Sp(Rl()));}return a;}
	public T[] Arr<T>(int n,Func<int,string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i,Sp(Rl()));}return a;}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T) Tp2<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T,T) Tp3<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T,T,T) Tp4<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]),Ct<T>(s[3]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T,T,T,T) Tp5<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]),Ct<T>(s[3]),Ct<T>(s[4]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T,T,T,T,T) Tp6<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]),Ct<T>(s[3]),Ct<T>(s[4]),Ct<T>(s[5]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T1,T2) Tp2<T1,T2>(){var s=Sp(Rl());return (Ct<T1>(s[0]),Ct<T2>(s[1]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T1,T1,T2) Tp3<T1,T2>(){var s=Sp(Rl());return (Ct<T1>(s[0]),Ct<T1>(s[1]),Ct<T2>(s[2]));}
}
public class Scr:Sc{
	private List<string> li=new List<string>();
	private int l=0;
	private bool bo=false;
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected override string Rl(){
		if(bo){return li[l++%li.Count];}
		li.Add(Console.ReadLine());
		return li[li.Count-1];
	}
	public void Again(){bo=true;}
}
public class Scs:Sc{
	private StreamReader sr;
	public Scs(string t){sr=new StreamReader(t);}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected override string Rl(){return sr.ReadLine();}
	public void Close(){sr.Close();}
}
public class Sc2:Sc{
	private string[] sps=new string[]{" ","　","\t"};
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected override string[] Sp(string st){return st.Split(sps,StringSplitOptions.RemoveEmptyEntries);}
	public override int I{get{return int.Parse(Sp(Rl())[0]);}}
	public override long L{get{return long.Parse(Sp(Rl())[0]);}}
	public override double D{get{return double.Parse(Sp(Rl())[0]);}}
	public override string S{get{return Sp(Rl())[0];}}
}
public class Scs2:Sc2{
	private StreamReader sr;
	public Scs2(string t){sr=new StreamReader(t);}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected override string Rl(){return sr.ReadLine();}
	public void Close(){sr.Close();}
}
public class Sct:Sc{
	private List<string> li=new List<string>();
	private int l=0;
	public void Add(int s){li.Add(s.ToString());}
	public void Add(long s){li.Add(s.ToString());}
	public void Add(double s){li.Add(s.ToString());}
	public void Add(string s){li.Add(s.ToString());}
	public void Add(object s){li.Add(s.ToString());}
	public void Add(int[] s){li.Add(string.Join(" ",s));}
	public void Add(long[] s){li.Add(string.Join(" ",s));}
	public void Add(double[] s){li.Add(string.Join(" ",s));}
	public void Add(string[] s){li.Add(string.Join(" ",s));}
	public void Add(params object[] s){li.Add(string.Join(" ",s));}
	protected override string Rl(){return li[l++];}
	public void Clear(){li.Clear();l=0;}
	public void Again(){l=0;}
	public void Pf(){Console.WriteLine(string.Join("\n",li));}
}