#include #define rep(i,n) for(int i=0;i<(int)(n);i++) using namespace std; using ll = long long ; using P = pair ; using pll = pair; constexpr int INF = 1e9; constexpr long long LINF = 1e17; constexpr int MOD = 998244353; constexpr double PI = 3.14159265358979323846; template struct ModInt{ long long x=0; constexpr ModInt(long long x=0):x((x%mod+mod)%mod){} constexpr ModInt operator+(const ModInt& r)const{return ModInt(*this)+=r;} constexpr ModInt operator-(const ModInt& r)const{return ModInt(*this)-=r;} constexpr ModInt operator*(const ModInt& r)const{return ModInt(*this)*=r;} constexpr ModInt operator/(const ModInt& r)const{return ModInt(*this)/=r;} constexpr ModInt& operator+=(const ModInt& r){ if((x+=r.x)>=mod) x-=mod; return *this;} constexpr ModInt& operator-=(const ModInt& r){ if((x-=r.x)<0) x+=mod; return *this;} constexpr ModInt& operator*=(const ModInt& r){ if((x*=r.x)>=mod) x%=mod; return *this;} constexpr ModInt& operator/=(const ModInt& r){ return *this*=r.inv();} ModInt inv() const { long long s=x,sx=1,sy=0,t=mod,tx=0,ty=1; while(s%t!=0){ long long temp=s/t,u=s-t*temp,ux=sx-temp*tx,uy=sy-temp*ty; s=t;sx=tx;sy=ty; t=u;tx=ux;ty=uy; } return ModInt(tx); } ModInt pow(long long n) const { ModInt a=1; ModInt b=*this; while(n>0){ if(n&1) a*=b; b*=b; n>>=1; } return a; } friend constexpr ostream& operator<<(ostream& os,const ModInt& a) {return os << a.x;} friend constexpr istream& operator>>(istream& is,ModInt& a) {return is >> a.x;} }; using mint = ModInt; class NumberTheoreticalTransform{ private: static void fft(vector& F){ int fdeg = F.size(); if(fdeg == 1) return; vector even,odd; for(int i = 0;i < fdeg/2;i++){ even.push_back(F[i<<1]); odd.push_back(F[(i<<1)|1]); } fft(even);fft(odd); mint x = 1,zeta = mint(3).pow((MOD-1)/fdeg); // 3 is primitive root of MOD(998244353) for(int i=0;i& F){ int fdeg = F.size(); if(fdeg == 1) return; vector even,odd; for(int i = 0;i < fdeg/2;i++){ even.push_back(F[i<<1]); odd.push_back(F[i<<1|1]); } ifft(even),ifft(odd); mint x = 1,zeta = mint(3).pow((MOD-1)/fdeg).inv(); for(int i=0;i multiply(vector F,vector G){ int degree = 1; while(degree < (int)F.size() + (int)G.size() - 1) degree <<= 1; vector nF(degree,0),nG(degree,0); for(int i=0;i<(int)F.size();i++){ nF[i] = F[i]; } for(int i=0;i<(int)G.size();i++){ nG[i] = G[i]; } fft(nF),fft(nG); for(int i=0;i ans((int)(F.size() + G.size() - 1),0); mint inv_degree = mint(degree).inv(); for(int i = 0;i < (int)F.size() + (int)G.size() - 1;i++){ ans[i] = (nF[i] * inv_degree).x; } return ans; } }; vector> seg; vector dfs(int l,int r){ if(l==r) return {1}; else if(l+1==r) return {seg[l]}; else return NumberTheoreticalTransform::multiply(dfs(l,(l+r)/2),dfs((l+r)/2,r)); } int main(){ int n,q; cin >> n >> q; seg.resize(n); rep(i,n){ ll a; cin >> a; mint aa = mint(a); seg[i] = {aa-1,1}; } vector res = dfs(0,n); while(q--){ int b; cin >> b; cout << res[b] << endl; } return 0; }