n,m=map(int,input().split())
x=[1<<30]*(m+1);x[0]=0
for i in list(map(int,input().split())):
    for j in range(m-i+1):
        x[i+j]=min(x[i+j],x[j]+1)
f=[1]*10**6;g=[1]*len(f);mod=998244353
for i in range(1,len(f)):
    f[i]=f[i-1]*i%mod
g[-1]=pow(f[-1],mod-2,mod)
for i in range(len(f)-1,0,-1):
    g[i-1]=g[i]*i%mod
ans=1
for i in range(1,m+1):
    if x[i]==1<<30:
        continue
    c=i-x[i]
    d=m-x[i]
    ans+=f[d]*g[c]%mod*g[d-c]%mod
print(ans%mod)