import sys
input = lambda :sys.stdin.readline()[:-1]
ni = lambda :int(input())
na = lambda :list(map(int,input().split()))
yes = lambda :print("yes");Yes = lambda :print("Yes");YES = lambda : print("YES")
no = lambda :print("no");No = lambda :print("No");NO = lambda : print("NO")
#######################################################################

mod = 998244353
n, k = na()
if n == 1:
    print(1)
    exit()

dp = [[0] * 5 for i in range(k + 1)]

if k >= 1:
    dp[1][0] = 1
    dp[1][1] = 1
dp[0][2] = 1
if k >= 2:
    dp[2][3] = 1


for i in range(n-2):
    ndp = [[0] * 5 for i in range(k + 1)]
    for j in range(k):
        ndp[j+1][0] = (dp[j][0] + dp[j][1] + dp[j][2] + dp[j][3]) % mod
        ndp[j+1][1] = (dp[j][0] + dp[j][1] + dp[j][2]) % mod
    for j in range(k+1):
        ndp[j][2] = (dp[j][0] + dp[j][1] + dp[j][2] + dp[j][4]) % mod 

    for j in range(k-1):
        ndp[j+2][3] = (dp[j][2] + dp[j][4]) % mod
        ndp[j+2][4] = (dp[j][0] + dp[j][3]) % mod

    dp = ndp
    # print(dp)

ans = 0
for i in range(k + 1):
    ans += (dp[i][0] + dp[i][1] + dp[i][2] + dp[i][4]) % mod
    ans %= mod

print(ans)