#include <bits/stdc++.h>
using namespace std;
#define modulo 998244353
#define mod(mod_x) ((((long long)mod_x+modulo))%modulo)
#define Inf 10000000000000000

//aのb乗
int beki(int a,int b){
	int x = 1;
	while(b!=0){
		if(b&1){
			x=mod(x*a);
		}
		a=mod(a*a);
		b>>=1;
	}
	return x;
}

//aの逆元
int gyakugen(int a){
	return beki(a,modulo-2);
}


void NTT(vector<int> &A){
	int n = A.size();

	vector<int> tmp(n,0);
	int mask = n-1;
	
	for(int i=n>>1;i>=1;i>>=1){
		int r = (modulo-1)/n;
		r *= i;

		int w = beki(3,r);
		
		int now = 1;
	
		for(int j=0;j<n;j+=i){
			for(int k=0;k<i;k++){
				tmp[j+k] = mod(A[((j<<1)&mask)|k] + mod(now*A[(((j << 1)|i)&mask)|k]));
			}
			now = mod(now * w);
		}
		swap(A,tmp);
	}
	
	int num;
	for(int i=0;true;i++){
		if((n>>i)&1){
			num = i;
			break;
		}
	}

	if(num&1){
		swap(A,tmp);
		for(int i=0;i<n;i++)A[i] = tmp[i];
	}
	
	return;
}

vector<int> do_NTT(vector<int> A,vector<int> B){
	
	int n = A.size()+B.size()-1;
	
	if(min(A.size(),B.size())<=150){
		vector<int> ret(n,0);
		for(int i=0;i<A.size();i++){
			for(int j=0;j<B.size();j++){
				ret[i+j] = mod(ret[i+j] + mod(A[i]*B[j]));
			}
		}
		return ret;
	}
	
	
	for(int i=0;true;i++){
		if((1<<i)>=n){
			n = (1<<i);
			break;
		}
	}
	
	A.resize(n),B.resize(n);
	
	bool f = A==B;
	
	NTT(A);
	if(f)B=A;
	else NTT(B);
	
	int rev = gyakugen(n);
	
	vector<int> c(n);
	for(int i=0;i<n;i++)c[i] = mod(mod(A[i]*B[i])*rev);
	reverse(c.begin()+1,c.end());
	
	
	NTT(c);
	
	return c;
	
}

int main(){
	
	int N,Q;
	cin>>N>>Q;
	
	vector<long long> A(N);
	for(int i=0;i<N;i++)scanf("%lld",&A[i]);
	
	vector<vector<int>> X(N);
	for(int i=0;i<N;i++){
		A[i]--;
		X[i] = {A[i]%modulo,1};
	}
	
	while(X.size()!=1){
		vector<vector<int>> Y;
		for(int i=0;i<X.size();i+=2){
			if(i+1!=X.size()){
				Y.push_back(do_NTT(X[i],X[i+1]));
			}
			else{
				Y.push_back(X[i]);
			}
		}
		
		X = Y;
		reverse(X.begin(),X.end());
	}
	
	vector<int> B(Q);
	for(int i=0;i<Q;i++)scanf("%d",&B[i]);
	
	for(int i=0;i<B.size();i++){
		if(X[0].size()<=B[i])printf("0\n");
		else printf("%d\n",X[0][B[i]]);
	}
	
	return 0;
}