## https://yukicoder.me/problems/no/2381 MOD = 998244353 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, P = map(int, input().split()) combi = CombinationCalculator(N, MOD) x = 0 answer = 0 inv_p = pow(P, MOD - 2, MOD) while x * P <= N: ans = combi.calc_combination(N, x * P) ans *= (combi.factorial[x * P]) ans %= MOD ans *= pow(inv_p, x, MOD) ans %= MOD ans *= combi.inv_factorial[x] ans %= MOD answer += ans answer %= MOD x += 1 ans = combi.factorial[N] answer = (ans - answer) % MOD print(answer) if __name__ == "__main__": main()