#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using mint = 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 mul = [&](const vector<mint> &lhs, const vector<mint> &rhs){
        vector<mint> res(n);
        for(int i = 0; i < lhs.size(); i++){
            for(int j = 0; i + j < n && j < rhs.size(); j++){
                res[i + j] += lhs[i] * rhs[j];
            }
        }
        return res;
    };
    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 = mul(tmp, B);
            ex /= 2;
            if(ex) B = mul(B, B);
        }
        if(prd == 1009){
            vector<mint> res(1, tmp[0]);
            if(tmp.size() >= 2){
                res.resize(1010);
                res[1009] = tmp[1];
            }
            swap(res, tmp);
        }

        return tmp;
    };
    while(idx < m && prd < n){
        ans = mul(ans, frobenius(K[idx++]));
        prd *= 1009;
    }
    mint coef = mint::raw(A[0]).pow(accumulate(K.begin() + idx, K.end(), 0));
    for(int i = 0; i < n; i++){
        cout << (coef * ans[i]).val() << (i + 1 == n ? '\n' : ' ');
    }
}