/*
Things to notice:
1. do not calculate useless values
2. do not use similar names
 
Things to check:
1. submit the correct file
2. time (it is log^2 or log)
3. memory
4. prove your naive thoughts 
5. long long
6. corner case like n=0,1,inf or n=m
7. check if there is a mistake in the ds or other tools you use
8. fileio in some oi-contest

9. module on time 
10. the number of a same divisor in a math problem
11. multi-information and queries for dp and ds problems
*/
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define fi first
#define se second
#define pii pair<long long,long long>
#define mp make_pair
#define pb push_back
const int mod=998244353;
const int inf=0x3f3f3f3f;
const int INF=1e18;
int fpow(int x,int b)
{
	if(x==0) return 0;
	if(b==0) return 1;
	int res=1;
	while(b>0)
	{
		if(b&1)	res=1LL*res*x%mod;
		x=1LL*x*x%mod;
		b>>=1;
	}
	return res;
}
struct Mypoly
{
	int n,m;
	int a[2200005],b[2200005],p[2200005],c[2200005];
	int N=1,lg;
	// ntt
	void ntt(int *A)
	{
		for(int i=0;i<N;i++) if(i<p[i]) swap(A[i],A[p[i]]);
		for(int mid=1;mid<N;mid*=2)
		{
			int v=fpow(3,(mod-1)/(mid*2));
			for(int j=0;j<N;j+=mid*2)
			{
				int w=1;
				for(int k=0;k<mid;k++,w=(w*v)%mod)
				{
					int t1=A[j+k],t2=(w*A[j+k+mid])%mod;
					A[j+k]=(t1+t2)%mod,A[j+k+mid]=(t1-t2+mod)%mod;
				}
			}
		}
	}
	void intt(int *A)
	{
		for(int i=0;i<N;i++) if(i<p[i]) swap(A[i],A[p[i]]);
		for(int mid=1;mid<N;mid*=2)
		{
			int v=fpow(fpow(3,mod-2),(mod-1)/(mid*2));
			for(int j=0;j<N;j+=mid*2)
			{
				int w=1;
				for(int k=0;k<mid;k++,w=(w*v)%mod)
				{
					int t1=A[j+k],t2=(w*A[j+k+mid])%mod;
					A[j+k]=(t1+t2)%mod,A[j+k+mid]=(t1-t2+mod)%mod;
				}
			}
		}
		int inv=fpow(N,mod-2);
		for(int i=0;i<=n+m;i++) A[i]=A[i]*inv%mod;
	}
	void init_butterfly(int x)
	{
		N=1,lg=0;
		while(N<x) N*=2,lg++;
		for(int i=1;i<N;i++) p[i]=(p[i>>1]>>1)|((i&1)<<(lg-1));
	} 
	// poly mul 
	vector <int> mul(vector <int> P,vector <int> Q)
	{
	//	memset(a,0,sizeof(a)),memset(b,0,sizeof(b)),memset(p,0,sizeof(p));
		n=P.size()-1,m=Q.size()-1;
		for(int i=0;i<=n;i++) a[i]=P[i];
		for(int i=0;i<=m;i++) b[i]=Q[i];
		init_butterfly(n+m+1);
		ntt(a),ntt(b);
		for(int i=0;i<N;i++) a[i]=(a[i]*b[i])%mod;
		intt(a);
		vector <int> res;
		res.clear();
		for(int i=0;i<=n+m;i++) res.pb(a[i]);
		for(int i=0;i<=2*N;i++) a[i]=b[i]=p[i]=0;
		return res;
	}
	// poly inv
	void work_getinv(int deg)
	{
		if(deg==1) 
		{
			b[0]=fpow(a[0],mod-2);
			return;
		}
		work_getinv((deg+1)>>1);
		init_butterfly(deg<<1);
		for(int i=0;i<deg;i++) c[i]=a[i];
		for(int i=deg;i<N;i++) c[i]=0;
		ntt(c),ntt(b);
		for(int i=0;i<N;i++) b[i]=1LL*(2-1LL*c[i]*b[i]%mod+mod)%mod*b[i]%mod;
		intt(b);
		for(int i=deg;i<N;i++) b[i]=0;
	}
	vector <int> getinv(vector <int> P)
	{
		n=P.size();
	//	memset(a,0,sizeof(a)),memset(b,0,sizeof(b)),memset(p,0,sizeof(p));
		for(int i=0;i<n;i++) a[i]=P[i];
		work_getinv(n);
		vector <int> Q;
		for(int i=0;i<n;i++) Q.pb(b[i]);
		for(int i=0;i<=2*N;i++) a[i]=b[i]=p[i]=0;
		return Q;
	}
}poly;
int fac[300005],ifac[300005];
int C(int x,int y)
{
	if(y>x) return 0;
	if(x==y||y==0) return 1;
	return 1LL*fac[x]*ifac[x-y]%mod*ifac[y]%mod;
}
void init(int x)
{
	fac[0]=fac[1]=1;
	for(int i=2;i<=x;i++) fac[i]=1LL*fac[i-1]*i%mod;
	ifac[x]=fpow(fac[x],mod-2);  // x should be less than mod!!!
	for(int i=x-1;i>=0;i--) ifac[i]=1LL*ifac[i+1]*(i+1)%mod;
}
int n;
int a[100005],dp[100005];
void divide(int l,int r)
{
	if(l==r)
	{
		dp[l]=(dp[l]+ifac[l])%mod;
		dp[l]=dp[l]*(fpow(2,a[l])-1)%mod;
//		cout<<l<<": "<<dp[l]<<"\n";
		return;
	}
	int mid=(l+r)>>1;
	divide(l,mid);
	vector <int> P,Q;
	for(int i=0;i<=r-l+1;i++) P.pb(ifac[i]);
	for(int i=l;i<=mid;i++) Q.pb(dp[i]);
	P=poly.mul(P,Q);
	for(int i=mid+1;i<=r;i++) dp[i]=(dp[i]+P[i-l])%mod;
	divide(mid+1,r);
}
void solve()
{
	cin>>n;
	init(300000);
	while(n--)
	{
		int x;
		cin>>x;
		a[x]++;
	}
	int ans=0;
	divide(0,100000);
	for(int i=1;i<=100000;i++) ans=(ans+dp[i]*fac[i])%mod;
	cout<<ans<<"\n";
}
signed main()
{
	ios::sync_with_stdio(0);
	cin.tie(0);
	int _=1;
//	cin>>_;
	while(_--) solve();
	return 0;
}