Logarithm and exponential Taylor polynomials (Small)

The $n$-th Taylor polynomial of a function $f(x)$ at $x=0$ is

$T_n f(x) := \sum_{i=0}^{n} \frac{f^{(i)}(0)}{i!} x^i$

A polynomial $P(x)$ has degree at most $n$, has constant term $0$, and is given as $a_0 + a_1x + \cdots + a_nx^n$. Compute the $n$-th Taylor polynomials of $\ln(1+P(x))$ and $e^{P(x)}-1$.

The first line contains an integer $n$ ($1 \le n \le 512$).

The second line contains $n+1$ integers $a_0, a_1, \cdots, a_n$ ($0 \le a_i < 998244353$, $a_0 = 0$).

On the first line, print the $n+1$ coefficients of the $n$-th Taylor polynomial of $\ln(1+P(x))$ in ascending order of degree.

On the second line, print the $n+1$ coefficients of the $n$-th Taylor polynomial of $e^{P(x)}-1$ in ascending order of degree.

Every coefficient is a rational number, so it can be written as an irreducible fraction $\frac{a}{b}$. Print $a \times b^{998244351} \bmod 998244353$ for each coefficient.