class Combination: def __init__(self, MX=10**6, MOD=998244353): self.MX = MX self.MOD = MOD self.fact = [1] * (MX + 1) self.inv = [1] * (MX + 1) self.f_inv = [1] * (MX + 1) for i in range(2, MX + 1): self.fact[i] = (self.fact[i - 1] * i) % self.MOD self.inv[i] = ( - (self.MOD // i) * (self.inv[self.MOD % i])) % self.MOD self.f_inv[i] = (self.f_inv[i - 1] * self.inv[i]) % self.MOD def invs(self, n): if n <= self.MX: return self.inv[n] else: return pow(n, self.MOD - 2, self.MOD) def p(self, n, r): if r > n or r < 0: return 0 return (self.fact[n] * self.f_inv[r]) % self.MOD def c(self, n, r): if r > n or r < 0: return 0 return (self.fact[n] * self.f_inv[r] * self.f_inv[n - r]) % self.MOD MOD = 998244353 com = Combination() N, P = map(int, input().split()) ans = com.fact[N] dp = [0] * (N + 1) dp[0] = 1 for i in range(1, N + 1): dp[i] += dp[i - 1] if i >= P: dp[i] += dp[i - P] * com.c(i - 1, P - 1) * com.fact[P - 1] dp[i] %= MOD ans -= dp[-1] ans %= MOD print(ans)