## https://yukicoder.me/problems/no/1348 MOD = 998244353 def main(): N = int(input()) # nodeの数の期待値 x_n = 0 p = 1 for n in range(N): inv_n = pow(N - n, MOD -2, MOD) a = (p * inv_n) % MOD a *= n a %= MOD x_n += a x_n %= MOD p *= ((N - n - 1) * inv_n) % MOD p %= MOD x_n *= N x_n %= MOD x_e = 0 p = 1 for n in range(N - 1): inv_n = pow(N - n, MOD -2, MOD) a = (p * inv_n) % MOD a *= 2 a %= MOD a *= n a %= MOD x_e += a x_e %= MOD p *= ((N - n - 2) * inv_n) % MOD p %= MOD x_e *= (N - 1) x_e %= MOD xxx = 1 for i in range(1, N + 1): xxx *= i xxx %= MOD x_n *= xxx x_n %= MOD x_e *= xxx x_e %= MOD answer = (x_n - x_e) %MOD print(answer) if __name__ == "__main__": main()