#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using mint = atcoder::modint998244353;
using mint2 = atcoder::static_modint<1009>;

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    int m, n;
    cin >> m >> n;
    m++, n++;
    vector<int> K(m), A(n);
    for(auto &&v : K) cin >> v;
    for(auto &&v : A) cin >> v;
    vector<mint> ans(1, 1), B(n);
    int prd = 1, idx = 0;
    auto safe = [&](vector<mint> &tmp){ for(auto &&v : tmp) v = v.val() % 1009; };
    auto frobenius = [&](int ex){
        vector<mint> tmp(1, 1);
        for(int i = 0; i < n; i++) B[i] = mint::raw(A[i]);
        while(ex){
            if(ex & 1){
                (tmp = convolution(tmp, B)).resize(n);
                safe(tmp);
            }
            if(ex >= 2){
                (B = convolution(B, B)).resize(n);
                safe(B);
            }
            ex /= 2;
        }
        if(prd == 1009){
            tmp[1] = tmp[1009];
            tmp.resize(2);
        }
        return tmp;
    };
    while(idx < m && prd < n){
        (ans = convolution(ans, frobenius(K[idx++]))).resize(n);
        safe(ans);
        prd *= 1009;
    }
    mint2 coef = mint2::raw(A[0]).pow(accumulate(K.begin() + idx, K.end(), 0));
    for(int i = 0; i < n; i++){
        cout << (coef * ans[i].val()).val() << (i + 1 == n ? '\n' : ' ');
    }
}