n^2求ln,exp

\[\because f(x)=e^{g(x)}\\ \therefore ln(f(x))=g(x)\\ \therefore\frac{f'(x)}{f(x)}=g'(x)\\ \therefore xf'(x)=xf(x)g'(x)\\ \therefore nf_n=\sum\limits_{i=1}^nif_{n-i}g_i\\ f_n=\frac{\sum\limits_{i=1}^nif_{n-i}g_i}n\\ g_n=f_n-\frac {\sum\limits_{i=1}^{n-1}if_{n-i}g_i}n \]

inline void ln(int *f,int *g,int n){
	g[0]=0;
	for(int i=1;i<n;++i)
	{
		g[i]=0;
		for(int j=1;j<i;++j)g[i]=(g[i]+1ll*f[i-j]*g[j]%P*j)%P;
		g[i]=(f[i]+1ll*g[i]*(P-inv[i]))%P;
	}
}
inline void exp(int *f,int *g,int n){
	g[0]=1;
	for(int i=1;i<n;++i){
		g[i]=0;
		for(int j=1;j<=i;++j)g[i]=(g[i]+1ll*g[i-j]*f[j]%P*j)%P;
		g[i]=(1ll*g[i]*inv[i])%P;
	}
}