#include <bits/stdc++.h>
#pragma GCC target("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
using namespace std;
#define lli long long int
#define uli unsigned long long int
#define INF 9999999999
#define rep(i,m,n) for(lli i = m;i < n;i++)
#define rrep(i,m,n) for(lli i=m-1;i>=n;i--)
#define pb(n) push_back(n)
#define UE(N) N.erase(unique(N.begin(),N.end()),N.end());
#define Sort(n) sort(n.begin(), n.end())
#define Rev(n) reverse(n.begin(),n.end())
#define Out(S) cout << S << endl
#define NeOut(S) cout << S
#define HpOut(S) cout << setprecision(25) << S << endl
#define Vec(K,L,N,S) vector<L> K(N,S)
#define DV(K,L,N,M,S) vector<vector<L>> K(N,vector<L>(M,S))
#define TV(K,L,N,M,R,S) vector<vector<vector<L>>> K(N,vector<vector<L>>(M,vector<L>(R,S)))
#define pint pair<lli,lli>
#define paf(L,R) pair<L,R>
//#define mod 1000000007
#define MAX 10000000
#define ALL(a)  a.begin(),a.end()
#define chmax(a, b) a = (((a)<(b)) ? (b) : (a))
#define chmin(a, b) a = (((a)>(b)) ? (b) : (a))
lli A,B,C,D,E,F,N,M,K,L,X,Y,Z,H,W,sum=0,num=0,flag=0;string S,T;
Vec(P,lli,200000,0);
lli modpow(lli n,lli k,lli m){
  if(k==0)return 1;
  else if(k%2==1)return modpow(n,k-1,m)*n%m;
  else{
    lli temp=modpow(n,k/2,m);
    return temp*temp%m;
  }
}
long long modinv(long long a, long long mod) {
    long long b = mod, u = 1, v = 0;
    while (b) {
        long long t = a/b;
        a -= t*b; swap(a, b);
        u -= t*v; swap(u, v);
    }
    u %= mod;
    if (u < 0) u += mod;
    return u;
}
const int MOD = 998244353;  // to be set appropriately
const long long PR = 3;     // to be set appropriately
void trans(vector<long long> &v, bool inv = false) {
    int n = (int)v.size();
    for (int i = 0, j = 1; j < n-1; j++) {
        for (int k = n>>1; k > (i ^= k); k >>= 1);
        if (i > j) swap(v[i], v[j]);
    }
    for (int t = 2; t <= n; t <<= 1) {
        long long bw = modpow(PR, (MOD-1)/t, MOD);
        if (inv) bw = modinv(bw, MOD);
        for (int i = 0; i < n; i += t) {
            long long w = 1;
            for (int j = 0; j < t/2; ++j) {
                int j1 = i + j, j2 = i + j + t/2;
                long long c1 = v[j1], c2 = v[j2] * w % MOD;
                v[j1] = c1 + c2;
                v[j2] = c1 - c2 + MOD;
                while (v[j1] >= MOD) v[j1] -= MOD;
                while (v[j2] >= MOD) v[j2] -= MOD;
                w = w * bw % MOD;
            }
        }
    }
    if (inv) {
        long long inv_n = modinv(n, MOD);
        for (int i = 0; i < n; ++i) v[i] = v[i] * inv_n % MOD;
    }
}
vector<long long> NTT(vector<long long> A, vector<long long> B) {
    int size_a = 1; while (size_a < A.size()) size_a <<= 1;
    int size_b = 1; while (size_b < B.size()) size_b <<= 1;
    int size_fft = max(size_a, size_b) << 1;
        
    vector<long long> cA(size_fft, 0), cB(size_fft, 0), cC(size_fft, 0);
    for (int i = 0; i < A.size(); ++i) cA[i] = A[i];
    for (int i = 0; i < B.size(); ++i) cB[i] = B[i];
       
    trans(cA); trans(cB);
    for (int i = 0; i < size_fft; ++i) cC[i] = cA[i] * cB[i] % MOD;
    trans(cC, true);
        
    vector<long long> res((int)A.size() + (int)B.size() - 1);
    for (int i = 0; i < res.size(); ++i) res[i] = cC[i];
    return res;
}


vector<lli> divide_and_solve(int left,int right){//f_l(x)からf_r(x)までの積
  if(right-left==1){
    Vec(v,lli,2,1);
    v[1]=P[left];
    return v;
  }
  auto vl=divide_and_solve(left,(left+right)/2);
  auto vr=divide_and_solve((left+right)/2,right);
  int ls=vl.size(),rs=vr.size();
  if(ls+rs<200){
    Vec(marge,lli,ls+rs-1,0);
    rep(i,0,ls)rep(j,0,rs){
      marge[i+j]+=(vl[i]*vr[j])%MOD;
      marge[i+j]%=MOD;
    }
    return marge;
  }
  else return NTT(vl,vr);
}
int main(){
  ios::sync_with_stdio(false);
  cin.tie(0);
  cin >> N >> M;
  Vec(Q,lli,M,0);
  P.resize(N);
  rep(i,0,N){
    cin >> P[i];
    P[i]--;
    P[i]%=MOD;
  }
  rep(i,0,M)cin >> Q[i];
  // ans=divide_and_solve(0,N);
  Vec(fx,lli,2,1);
  fx[1]=P[0]-1;
  rep(i,1,N){
    Vec(gx,lli,2,1);
    gx[1]=P[i]-1;
    int ls=fx.size(),rs=gx.size();
    if(ls+rs<200){
      Vec(marge,lli,ls+rs-1,0);
      rep(i,0,ls)rep(j,0,rs){
        marge[i+j]+=(fx[i]*gx[j])%MOD;
        marge[i+j]%=MOD;
      }
    fx=marge;
    }
    else fx=NTT(fx,gx);
  }
  Rev(fx);
  rep(i,0,M)Out(fx[Q[i]]%MOD);
}