#include<bits/stdc++.h>
using namespace std;
#define int long long
#define ri register
#define pii pair<int,int>
#define F first
#define S second
#define pb push_back
const int inf=0x3f3f3f3f;
inline int rd(){
	int x=0,y=1;char c=getchar();
	for(;c<'0'||c>'9';c=getchar())if(c=='-')y=-1;
	for(;c>='0'&&c<='9';c=getchar())x=(x<<1)+(x<<3)+(c^48);
	return x*y;
}
const int mod=998244353,N=2e5+5;
int ans,n,fac[N];
int ksm(int x,int y){
	int res=1;
	for(;y;y>>=1,x=x*x%mod)if(y&1)res=res*x%mod;
	return res;
}
int sq(int x){
	return x*x%mod;
}
signed main(){
	n=rd();fac[0]=1;
	for(int i=1;i<=n;i++)fac[i]=fac[i-1]*i%mod;
	for(int i=2;i<=n-2;i++)
		ans=(ans+sq(fac[n]*ksm(fac[n-i-2]*fac[i-2]%mod*i%mod*(n-i)%mod*(n-1)%mod,mod-2)%mod))%mod;
	cout<<ans<<'\n';
	return 0;
}