#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<complex>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<utility>
#include<tuple>
using namespace std;
typedef long long ll;
typedef unsigned int ui;
const ll mod = 998244353;
const ll INF = (ll)1000000007 * 1000000007;
typedef pair<int, int> P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define Per(i,sta,n) for(int i=n-1;i>=sta;i--)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
typedef long double ld;
const ld eps = 1e-8;
const ld pi = acos(-1.0);
typedef pair<ll, ll> LP;
int dx[4]={1,-1,0,0};
int dy[4]={0,0,1,-1};

#define MOD 998244353
#define root 3
 
unsigned int add(const unsigned int x, const unsigned int y)
{
    return (x + y < MOD) ? x + y : x + y - MOD;
}
 
unsigned int sub(const unsigned int x, const unsigned int y)
{
    return (x >= y) ? (x - y) : (MOD - y + x);
}
 
unsigned int mul(const unsigned int x, const unsigned int y)
{
    return (unsigned long long)x * y % MOD;
}
 
unsigned int mod_pow(unsigned int x, unsigned int n)
{
    unsigned int res = 1;
    while(n > 0){
        if(n & 1){ res = mul(res, x); }
        x = mul(x, x);
        n >>= 1;
    }
    return res;
}
 
unsigned int inverse(const unsigned int x)
{
    return mod_pow(x, MOD - 2);
}
 
void ntt(vector<int>& a, const bool rev = false)
{
    unsigned int i, j, k, l, p, q, r, s;
    const unsigned int size = a.size();
    if(size == 1) return;
    vector<int> b(size);
    r = rev ? (MOD - 1 - (MOD - 1) / size) : (MOD - 1) / size;
    s = mod_pow(root, r);
    vector<unsigned int> kp(size / 2 + 1, 1);
    for(i = 0; i < size / 2; ++i) kp[i + 1] = mul(kp[i], s);
    for(i = 1, l = size / 2; i < size; i <<= 1, l >>= 1){
        for(j = 0, r = 0; j < l; ++j, r += i){
            for(k = 0, s = kp[i * j]; k < i; ++k){
                p = a[k + r], q = a[k + r + size / 2];
                b[k + 2 * r] = add(p, q);
                b[k + 2 * r + i] = mul(sub(p, q), s);
            }
        }
        swap(a, b);
    }
    if(rev){
        s = inverse(size);
        for(i = 0; i < size; i++){ a[i] = mul(a[i], s); }
    }
}
 
vector<int> convolute(const vector<int>& a, const vector<int>& b)
{
    const int size = (int)a.size() + (int)b.size() - 1;
    int t = 1;
    while(t < size){ t <<= 1; }
    vector<int> A(t, 0), B(t, 0);
    for(int i = 0; i < (int)a.size(); i++){ A[i] = a[i]; }
    for(int i = 0; i < (int)b.size(); i++){ B[i] = b[i]; }
    ntt(A), ntt(B);
    for (int i = 0; i < t; i++){ A[i] = mul(A[i], B[i]); }
    ntt(A, true);
    A.resize(size);
    return A;
}

int n,q;
ll a[200010];

vector<int> rec(int l,int r){
  vector<int> res;
  if(r-l==1) {
    res.resize(2);
    res[0]=(a[l]-1+mod)%mod;
    res[1]=1;
    return res;
  }
  int mid=(l+r)/2;
  vector<int> f1=rec(l,mid),f2=rec(mid,r);
  return convolute(f1,f2);
}

void solve(){
  cin >> n >> q;
  rep(i,n){
    cin >> a[i];
    a[i]%=MOD;
  }
  vector<int> dp=rec(0,n);
  rep(i,q){
    int b;cin >> b;
    //cout << b << endl;
    cout << dp[b] << endl;
  }
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << fixed << setprecision(50);
    solve();
}