class Combination():
  def __init__(self, N, MOD):
    self.factorial=[1]*(N+1)
    self.fact_inv=[1]*(N+1)
    self.MOD=MOD
    for k in range(1,N):
      self.factorial[k+1]=(self.factorial[k]*(k+1))%MOD
    self.fact_inv[N]=pow(self.factorial[N],MOD-2,MOD)
    for k in range(N,0,-1):
      self.fact_inv[k-1]=(self.fact_inv[k]*k)%MOD
  def cmb(self, n, r):
    if n<0 or r<0 or n<r:
      return 0
    else:
      return (self.factorial[n]*self.fact_inv[r]*self.fact_inv[n-r])%self.MOD

N,M=map(int,input().split())
A=list(map(int,input().split()))
INF=10**10
DP=[INF]*(M+1)
DP[0]=0
for i in range(N):
  a=A[i]
  for j in range(a,M+1):
    DP[j]=min(DP[j],DP[j-a]+1)
mod=998244353
C=Combination(M,mod)
ans=0
for i in range(M+1):
  if DP[i]!=INF:
    ans+=C.cmb(M-DP[i],i-DP[i])
print(ans%mod)