# 入力 N, K = map(int, input().split()) # 二項係数の計算 O(K^2) comb = [[0] * (K + 1) for i in range(K + 1)] for i in range(K + 1): comb[i][0] = 1 for j in range(1, i + 1): comb[i][j] = (comb[i - 1][j - 1] + comb[i - 1][j]) % 998244353 # 行列累乗の答えを保持する変数 初期値は # [ (F[1]^K)*(F[0]^0), (F[1]^(K-1))*(F[0]^1), ... , (F[1]^0)*(F[0]^K), 0 ] r = [1] * (K + 2) r[K + 1] = 0 # 二項係数と0からなる行列(解説を参照) # 最後の行はS[i-1]からS[i]を求めるためのもの p = [[0] * (K + 2) for i in range(K + 2)] for i in range(K + 1): for j in range(K + 1 - i): p[i][j] = comb[K - i][K - i - j] p[K + 1][K] = 1 p[K + 1][K + 1] = 1 # 行列累乗 O(K^3 log N) while N != 0: if N % 2 == 1: # r *= p の計算 O(K^2) tmp = [0] * (K + 2) for i in range(K + 2): for j in range(K + 2): tmp[i] = (tmp[i] + r[j] * p[i][j]) % 998244353 r = tmp N //= 2 # p *= p の計算 O(K^3) tmp = [[0] * (K + 2) for i in range(K + 2)] for i in range(K + 2): for j in range(K + 2): for k in range(K + 2): tmp[i][j] = (tmp[i][j] + p[i][k] * p[k][j]) % 998244353 p = tmp # S[N]を出力 print(r[K + 1])