N,K=map(int,input().split()) P=998244353 def C(x,y): a=1 for i in range(y):a=(a*(x-i)*pow(i+1,-1,P))%P return a a=C(2*N+4,K) b=[C(N+2,K//2),0][K%2] c=max([C(N+2,K//2),[0,C(N+1,K//2)*2][N%2]][K%2],0) d=b print([(a+b+c+d)*pow(4,-1,P)%P,[1,1,3,3,3,1,1][K]][N<2])