# https://yukicoder.me/problems/no/2883 MOD = 998244353 def prod_matrix(left, right): n = len(left) new_matrix = [[0] * n for _ in range(n)] for i in range(n): for j in range(n): for k in range(n): new_matrix[i][j] += (left[i][k] * right[k][j]) % MOD new_matrix[i][j] %= MOD return new_matrix def prod_vector(matrix, vector): n = len(vector) new_vector = [0] * n for i in range(n): for j in range(n): new_vector[i] += (matrix[i][j] * vector[j] ) % MOD new_vector[i] %= MOD return new_vector class CombinationCalculator: """ modを考慮したPermutation, Combinationを計算するためのクラス """ def __init__(self, size, mod): self.mod = mod self.factorial = [0] * (size + 1) self.factorial[0] = 1 for i in range(1, size + 1): self.factorial[i] = (i * self.factorial[i - 1]) % self.mod self.inv_factorial = [0] * (size + 1) self.inv_factorial[size] = pow(self.factorial[size], self.mod - 2, self.mod) for i in reversed(range(size)): self.inv_factorial[i] = ((i + 1) * self.inv_factorial[i + 1]) % self.mod def calc_combination(self, n, r): if n < 0 or n < r or r < 0: return 0 if r == 0 or n == r: return 1 ans = self.inv_factorial[n - r] * self.inv_factorial[r] ans %= self.mod ans *= self.factorial[n] ans %= self.mod return ans def calc_permutation(self, n, r): if n < 0 or n < r: return 0 ans = self.inv_factorial[n - r] ans *= self.factorial[n] ans %= self.mod return ans def main(): N, K = map(int, input().split()) combi = CombinationCalculator(K + 1, MOD) if N == 1: print(1) return elif N == 2: print(2) return matrix = [[0] * (K + 1) for _ in range(K + 1)] for i in range(K + 1): for j in reversed(range(K - i, K + 1)): matrix[i][j] = combi.calc_combination(i, K - j) side_matrix = [[0] * (K + 1) for _ in range(K + 1)] for i in range(K + 1): side_matrix[i][i] = 1 matrix2 = [[0] * (K + 1) for _ in range(K + 1)] for i in range(K + 1): matrix2[i][i] = 1 side_matrix2 = [[0] * (K + 1) for _ in range(K + 1)] vector = [1] * (K + 1) N -= 2 while N > 0: if N % 2 == 1: matrix2 = prod_matrix(matrix, matrix2) side_matrix2 = prod_matrix(matrix, side_matrix2) for i in range(K + 1): for j in range(K + 1): side_matrix2[i][j] += side_matrix[i][j] side_matrix2[i][j] %= MOD base = prod_matrix(matrix, matrix) base2 = prod_matrix(matrix, side_matrix) for i in range(K + 1): for j in range(K + 1): side_matrix[i][j] += base2[i][j] side_matrix[i][j] %= MOD matrix = base N //= 2 v1 = prod_vector(matrix2, vector) v2 = prod_vector(side_matrix2, vector) ans = (v1[K] + v2[K]) % MOD print((ans + 1) % MOD) if __name__ == "__main__": main()