#include #pragma GCC optimize("Ofast") using namespace std; using std::cout; using std::cin; using std::endl; using ll=long long; using ld=long double; ll ILL=2167167167167167167; const int INF=2100000000; const ll mod=998244353; #define rep(i,a) for (ll i=0;i using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,const T &b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";} template void vec_out(vector &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<0){ a*=2; if(H%a!=0){ H-=a/2; c*=b; c%=z; } b*=b; b%=z; } //ここまで return c; } namespace po167{ struct combination{ int upper; long long MOD; std::vector fact; std::vector rev; std::vector fact_rev; combination(int max,long long mod):upper(max),MOD(mod),fact(max+1),rev(max+1),fact_rev(max+1){ for(long long i=0;i<=max;i++){ if(i<2){ fact[i]=1; fact_rev[i]=1; rev[i]=1; continue; } fact[i]=(fact[i-1]*i)%mod; rev[i]=mod-((mod/i)*rev[mod%i])%mod; fact_rev[i]=(fact_rev[i-1]*rev[i])%mod; } } long long Comb(int x,int y){ assert(upper>=x); if (x=x); if (x>t; rep(i,t) solve(); } void solve(){ int N; cin>>N; ll S=0,L=1e4+10; vector A(N),B(L); rep(i,N) cin>>A[i],S+=A[i],B[A[i]]++; ll P=999630629; ll M=S-P; ll base=(S*jyo(2,N-1,mod))%mod; if(M<=0){ cout< dp(M+1); combination table(N,mod); dp[0]=1; for(int i=L-1;i>=0;i--){ if(B[i]==0) continue; for(int j=M;j>=0;j--){ if(dp[j]==0) continue; for(int k=1;k<=B[i]&&j+k*i<=M;k++){ dp[j+k]=(dp[j+k]+dp[j]*table.Comb(B[i],k))%mod; } } } for(auto x:dp){ base=(base-x*P)%mod; } cout<<(base+mod)%mod<<"\n"; }