N,K=map(int, input().split())
mod=998244353
dp0=[0]*(K+1)
dp1=[0]*(K+1)

dp0[0]=1
for _ in range(N):
  ndp0=[0]*(K+1)
  ndp1=[0]*(K+1)
  for i in range(K+1):
    if i!=0:
      ndp0[i]+=dp0[i]
      ndp1[i]+=dp1[i]
      ndp0[i]%=mod;ndp1[i]%=mod
    if i>=2:
      ndp0[i-2]+=dp0[i]
      ndp1[i-2]+=dp1[i]
      ndp0[i-2]%=mod;ndp1[i-2]%=mod
    if i==K-1:
      ndp1[i]+=dp0[i]
      ndp1[i]+=dp1[i]
      ndp0[i]%=mod;ndp1[i]%=mod
    elif i<K-1:
      ndp0[i]+=dp0[i]
      ndp1[i]+=dp1[i]
      ndp0[i]%=mod;ndp1[i]%=mod
    if i==K-2:
      ndp1[i+2]+=dp0[i]
      ndp1[i+2]+=dp1[i]
      ndp0[i+2]%=mod;ndp1[i+2]%=mod
    elif i<K-2:
      ndp0[i+2]+=dp0[i]
      ndp1[i+2]+=dp1[i]
      ndp0[i+2]%=mod;ndp1[i+2]%=mod
  dp0,dp1=ndp0,ndp1
print(dp1[0])