#include using namespace std; #define rep(i, a, b) for (int i = a; i < int(b); ++i) #define trav(a, v) for (auto& a : v) #define all(x) x.begin(), x.end() #define sz(x) (int)(x).size() typedef long long ll; typedef pair pii; typedef vector vi; const ll mod = (119 << 23) + 1, root = 3; // = 998244353 // For p < 2^30 there is also e.g. (5 << 25, 3), (7 << 26, 3), // (479 << 21, 3) and (483 << 21, 5). The last two are > 10^9. ll modpow(ll a, ll e) { if (e == 0) return 1; ll x = modpow(a * a % mod, e >> 1); return e & 1 ? x * a % mod : x; } typedef vector vl; void ntt(ll* x, ll* temp, ll* roots, int N, int skip) { if (N == 1) return; int n2 = N / 2; ntt(x, temp, roots, n2, skip * 2); ntt(x + skip, temp, roots, n2, skip * 2); rep(i, 0, N) temp[i] = x[i * skip]; rep(i, 0, n2) { ll s = temp[2 * i], t = temp[2 * i + 1] * roots[skip * i]; x[skip * i] = (s + t) % mod; x[skip * (i + n2)] = (s - t) % mod; } } void ntt(vl& x, bool inv = false) { ll e = modpow(root, (mod - 1) / sz(x)); if (inv) e = modpow(e, mod - 2); vl roots(sz(x), 1), temp = roots; rep(i, 1, sz(x)) roots[i] = roots[i - 1] * e % mod; ntt(&x[0], &temp[0], &roots[0], sz(x), 1); } vl conv(vl a, vl b) { int s = sz(a) + sz(b) - 1; if (s <= 0) return {}; int L = s > 1 ? 32 - __builtin_clz(s - 1) : 0, n = 1 << L; if ((rand() % 2 == 0) && s <= 200) { // (factor 10 optimization for |a|,|b| = 10) vl c(s); rep(i, 0, sz(a)) rep(j, 0, sz(b)) c[i + j] = (c[i + j] + a[i] * b[j]) % mod; trav(x, c) if (x < 0) x += mod; return c; } a.resize(n); ntt(a); b.resize(n); ntt(b); vl c(n); ll d = modpow(n, mod - 2); rep(i, 0, n) c[i] = a[i] * b[i] % mod * d % mod; ntt(c, true); c.resize(s); trav(x, c) if (x < 0) x += mod; return c; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int N, Q; cin >> N >> Q; vector polys; polys.assign(N, {}); for (int i = 0; i < N; ++i) { int x; cin >> x; polys[i].push_back(x - 1); polys[i].push_back(1); } int skip = 1; while (skip < N) { for (int i = 0; i + skip < N; i += 2 * skip) { polys[i] = conv(polys[i], polys[i + skip]); } skip *= 2; } for (int i = 0; i < Q; ++i) { int q; cin >> q; cout << polys[0][q] << "\n"; } return 0; }