mod=998244353 N,K=map(int, input().split()) def xgcd(a, b): x0, y0, x1, y1 = 1, 0, 0, 1 while b != 0: q, a, b = a // b, b, a % b x0, x1 = x1, x0 - q * x1 y0, y1 = y1, y0 - q * y1 return a, x0, y0 def modinv(a, m): g, x, y = xgcd(a, m) if g != 1: raise Exception('modular inverse does not exist') else: return x % m def f(x,y): return x*10000+y def ff(z): x,y=z//10000,z%10000 return x,y gt=modinv(N,mod) from collections import deque d=deque() d.append((0,0)) dp=[[0]*(N+1) for i in range(K//2+1)] V=[[-1]*(N+1) for i in range(K//2+1)] dp[0][0]=1;V[0][0]=0 for i in range(K): nd=deque();DD={} while d: r,y=d.popleft() p=N-y c=dp[r][y] if y!=0: a=(y*gt*c)%mod if V[r+1][y-1]==-1: V[r+1][y-1]=i+1 nd.append((r+1,y-1)) dp[r+1][y-1]+=a dp[r+1][y-1]%=mod if p!=0: a=(p*gt*c)%mod if V[r][y+1]==-1: V[r][y+1]=i+1 nd.append((r,y+1)) dp[r][y+1]+=a dp[r][y+1]%=mod d=nd D=DD ans=0 for r in range(K//2+1): for y in range(N+1): if V[r][y]==K: p=N-y c=r+y+p ans+=c*dp[r][y] ans%=mod print(ans)