#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")

char*mmap();

#define rd(v) long v=0;{long _c;while(_c=*rp++-48,_c>=0)v=v*10+_c;}
#define wt(v) {long _z=v;do*--wp=_z%10+48;while(_z/=10);}
#define rep(v,e) for(long v=0;v<e;++v)
#define rep3(v,s,e) for(long v=s;v<e;++v)
#define chmin(v,a) (v=v<=a?v:a)

#define MD 998244353

#define M 100001
int fac[M],ifac[M];

int inverse(int a){
	int b=MD;
	int u=1;
	int v=0;
	int s,t;
	while(b){
		t=a/b;
		s=b; b=a-t*b; a=s;
		s=v; v=u-t*v; u=s;
	}
	if(u<0){
		u+=MD;
	}
	return u;
}

void mkfac(){
	long x=1;
	fac[0]=x;
	for(long i=1;i<M;i++){
		x=x*i%MD;
		fac[i]=x;
	}
	x=inverse(x);
	for(long i=M;i--;){
		ifac[i]=x;
		x=x*i%MD;
	}
}

long a[100];
int d[100001];

long f1(){
	char*rp=mmap(0l,1l<<25,1,2,0,0ll);
	rd(n);
	rd(m);
	rep(j,n){
		rd(aj);
		a[j]=aj;
	}
	long z=1;
	rep3(i,1,m+1){
		long di=1<<30;
		rep(j,n){
			long e=i-a[j];
			if(e>=0){
				chmin(di,d[e]+1);
			}
		}
		if(di<1<<30){
			z+=(long)fac[m-di]*ifac[i-di]%MD*ifac[m-i]%MD;
		}
		d[i]=di;
	}
	z%=MD;
	return z;
}

void f2(long z){
	char wbuf[64],*wp=wbuf+sizeof wbuf;
	wt(z);
	write(1,wp,wbuf+sizeof wbuf-wp);
	_exit(0);
}

main(){
	mkfac();
	f2(f1());
}