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#include<cstdio>
#include<cstring>
#include<algorithm>
#include<iostream>
#include<queue>
#include<map>
#include<stack>
#include<cmath>
#include<set>
#include<bitset>
#include<complex>
#include<cstdlib>
#include<assert.h>
#define inc(i,l,r) for(int i=l;i<=r;i++)
#define dec(i,l,r) for(int i=l;i>=r;i--)
#define link(x) for(edge *j=h[x];j;j=j->next)
#define mem(a) memset(a,0,sizeof(a))
#define ll long long
#define eps 1e-8
#define succ(x) (1<<x)
#define lowbit(x) (x&(-x))
#define mid (x+y>>1)
#define sqr(x) ((x)*(x))
#define NM 300000
#define nm 2097152
using namespace std;
const double pi=acos(-1);
const ll inf=998244353;
ll read(){
ll x=0,f=1;char ch=getchar();
while(!isdigit(ch)){if(ch=='-')f=-1;ch=getchar();}
while(isdigit(ch))x=x*10+ch-'0',ch=getchar();
return f*x;
}
inline void reduce(ll&x){x+=x>>63&inf;}
inline ll qpow(ll x,ll t){
ll s=1;
for(;t;t>>=1,x=x*x%inf)if(t&1)s=s*x%inf;
return s;
}
int n,m;
ll a[NM],b[NM],inv[NM];
int v[NM];
namespace Poly{
int lim,bit,rev[NM],w[NM],W[NM];
ll invn;
inline void clear(ll*a,ll*b){if(a<b)memset(a,0,sizeof(ll)*(b-a));}
void init(int m){
for(lim=1,bit=0;lim<m;lim<<=1)bit++;invn=qpow(lim,inf-2);
inc(i,1,lim-1)rev[i]=(rev[i>>1]>>1)|((i&1)<<(bit-1));
ll t=qpow(3,(inf-1)/lim);W[0]=1;
inc(i,1,lim)W[i]=W[i-1]*t%inf;
}
void fft(ll*a,int f=0){
int n=lim;
inc(i,1,n-1)if(i<rev[i])swap(a[i],a[rev[i]]);
for(int k=1;k<n;k<<=1){
int t=n/k>>1;
for(int i=0,j=0;i<k;i++,j+=t)w[i]=W[f?n-j:j];
for(int i=0;i<n;i+=k<<1)
for(int j=0;j<k;j++){
ll x=a[i+j],y=w[j]*a[i+j+k]%inf;
reduce(a[i+j]=x+y-inf);reduce(a[i+j+k]=x-y);
}
}
if(f)inc(i,0,n-1)a[i]=a[i]*invn%inf;
}
ll _a[NM];
void inv(ll*b,ll*a,int m){
if(m==1){b[0]=qpow(a[0],inf-2);return;}
inv(b,a,m+1>>1);init(m<<1);
copy(a,a+m,_a);clear(_a+m,_a+lim);clear(b+(m+1)/2,b+lim);
fft(b);fft(_a);
inc(i,0,lim-1)b[i]=b[i]*(2-_a[i]*b[i]%inf+inf)%inf;
fft(b,1);
}
void ln(ll*b,ll*a,int m){
inv(b,a,m);
inc(i,0,m-2)_a[i]=a[i+1]*(i+1)%inf;
init(m<<1);
clear(_a+m-1,_a+lim);clear(b+m,b+lim);
fft(_a);fft(b);
inc(i,0,lim-1)b[i]=b[i]*_a[i]%inf;
fft(b,1);
dec(i,m-1,1)b[i]=b[i-1]*::inv[i]%inf;b[0]=0;
}
ll _b[NM];
void exp(ll*b,ll*a,int m){
if(m==1){b[0]=1;return;}
exp(b,a,m+1>>1);
clear(b+(m+1)/2,b+m);
ln(_b,b,m);
inc(i,0,m-1)reduce(_b[i]=a[i]-_b[i]);_b[0]++;
clear(_b+m,_b+lim);clear(b+m,b+lim);
fft(_b);fft(b);
inc(i,0,lim-1)b[i]=b[i]*_b[i]%inf;
fft(b,1);
}
}
int main(){
n=read();m=read();
inv[1]=1;
inc(i,2,m)inv[i]=inv[inf%i]*(inf-inf/i)%inf;
inc(i,1,n)v[read()]++;
inc(i,1,m)if(v[i])
for(int j=i,k=1;j<=m;j+=i,k++)a[j]+=inv[k]*v[i],a[j]%=inf;
Poly::exp(b,a,m+1);
inc(i,1,m)printf("%lld\n",b[i]);
return 0;
}
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