## https://yukicoder.me/problems/no/2839 MOD = 998244353 def main(): N, M = map(int, input().split()) dp = [[[0, 0] for _ in range(M + 1)] for _ in range(N)] dp[0][0][0] = 1 dp[0][1][1] = 1 for i in range(1, N): dp_pre = [[0, 0] for _ in range(M + 1)] for m in range(M + 1): dp_pre[m][0] += dp[i - 1][m][0] dp_pre[m][0] %= MOD if m + 1 <= M: dp_pre[m + 1][1] += dp[i - 1][m][0] dp_pre[m + 1][1] %= MOD if m + 1 <= M: dp_pre[m + 1][1] += dp[i - 1][m][1] dp_pre[m + 1][1] %= MOD for m in range(M + 1): x = dp[i - 1][m] for n in range(M + 1): if m + n > M: break dp[i][m + n][0] += (x[0] * dp_pre[n][0]) % MOD dp[i][m + n][0] %= MOD dp[i][m + n][1] += (x[1] * dp_pre[n][0]) % MOD dp[i][m + n][1] %= MOD dp[i][m + n][1] += (x[0] * dp_pre[n][1]) % MOD dp[i][m + n][1] %= MOD dp[i][m + n][1] += (x[1] * dp_pre[n][1]) % MOD dp[i][m + n][1] %= MOD answer = dp[-1][M][0] + dp[-1][M][1] answer %= MOD print(answer) if __name__ == "__main__": main()