#include <bits/stdc++.h>
using namespace std;
#include<atcoder/all>
using namespace atcoder;
using mint=modint998244353;
#define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++)


int main() {
    int L=(1<<17);
    int N;
    cin>>N;
    vector<int> A(L);
    rep(i,0,N){
        int a;
        cin>>a;
        A[a]++;
    }
    vector<mint> dp(L);
    vector<mint> fact(L,1),fact_inv(L,1);
    rep(i,1,L) fact[i]=fact[i-1]*i;
    fact_inv[L-1]=fact[L-1].inv();
    for(int i=L-1;i>0;i--) fact_inv[i-1]=fact_inv[i]*i;
    mint ans=0;
    auto f=[&](auto self,int l,int r) -> void {
        if(l+1==r){
            dp[l]+=fact_inv[l];
            dp[l]*=(mint(2).pow(A[l])-1);
            ans+=dp[l]*fact[l];
            return;
        }
        int m=(l+r)/2;
        self(self,l,m);
        vector<mint> p(m-l),q(r-l);
        rep(i,l,m) p[i-l]=dp[i];
        rep(i,0,r-l) q[i]=fact_inv[i];
        p=convolution(p,q);
        rep(i,m,r) dp[i]+=p[i-l];
        self(self,m,r);
    };
    f(f,0,L);
    cout<<ans.val()<<"\n";
}