#pragma GCC optimization ("O3") #include using namespace std; using ll = long long; using vec = vector; using mat = vector; using pll = pair; #define INF (1LL<<61) //#define MOD 1000000007LL #define MOD 998244353LL #define EPS (1e-10) #define PR(x) cout << (x) << endl #define PS(x) cout << (x) << " " #define REP(i,m,n) for(ll (i)=(m),(i_len)=(n);(i)<(i_len);++(i)) #define FORE(i,v) for(auto (i):v) #define ALL(x) (x).begin(), (x).end() #define SZ(x) ((ll)(x).size()) #define REV(x) reverse(ALL((x))) #define ASC(x) sort(ALL((x))) #define DESC(x) {ASC((x)); REV((x));} #define BIT(s,i) (((s)>>(i))&1) #define pb push_back #define fi first #define se second template inline int chmin(T& a, T b) {if(a>b) {a=b; return 1;} return 0;} template inline int chmax(T& a, T b) {if(a=MOD) x-=MOD; return *this;} mint& operator-=(const mint& a) {if((x+=MOD-a.x)>=MOD) x-=MOD; return *this;} mint& operator*=(const mint& a) {(x*=a.x)%=MOD; return *this;} mint operator+(const mint& a) const {mint b(*this); return b+=a;} mint operator-(const mint& a) const {mint b(*this); return b-=a;} mint operator*(const mint& a) const {mint b(*this); return b*=a;} mint pow(ll t) const {if(!t) return 1; mint a=pow(t>>1); return (t&1?*this*a:a)*a;} mint inv() const {return pow(MOD-2);} mint& operator/=(const mint& a) {return *this*=a.inv();} mint operator/(const mint& a) const {mint b(*this); return b/=a;} bool operator==(const mint& a) const {return this->x==a.x;}; }; istream &operator>>(istream& is, mint& a) {ll t; is>>t; a=t; return is;} ostream &operator<<(ostream& os, const mint& a) {return os<>1, m); return (n&1?a*t%MOD:t)*t%MOD; } void ntt(vec& a, bool rev = false) { ll i, j, k, l, p, q, r, s; ll size = a.size(); if(size == 1) return; vec b(size); r = rev ? (MOD - 1 - (MOD - 1) / size) : (MOD - 1) / size; s = modpow(3, r, MOD); vec kp(size / 2 + 1, 1); for(i = 0; i < size / 2; ++i) kp[i + 1] = kp[i] * s % MOD; 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] = (p + q < MOD) ? (p + q) : (p + q) - MOD; b[k + 2 * r + i] = s * ((p >= q) ? (p - q) : (MOD - q + p)) % MOD; } } swap(a, b); } if(rev){ s = modpow(size, MOD - 2, MOD); for(i = 0; i < size; i++){ a[i] = a[i] * s % MOD; } } } vec convolution(vec a, vec b) { ll size = a.size() + b.size() - 1; ll t = 1; while(t < size){ t <<= 1; } vec A(t, 0), B(t, 0); for(ll i = 0; i < a.size(); i++){ A[i] = a[i]; } for(ll i = 0; i < b.size(); i++){ B[i] = b[i]; } ntt(A), ntt(B); for (ll i = 0; i < t; i++){ A[i] = A[i] * B[i] % MOD; } ntt(A, true); A.resize(size); return A; } int main() { ll N, Q; cin >> N >> Q; vec A(N); REP(i,0,N) cin >> A[i]; ll M = 1, m; while(M < N) M *= 2; mat P(M); REP(i,N,M) A.pb(1); REP(i,0,M) P[i] = {A[i]-1, 1}; m = M; while(m > 1) { mat Q(m/2); REP(i,0,m/2) Q[i] = convolution(P[i*2], P[i*2+1]); swap(P, Q); m /= 2; } REP(i,0,Q) { ll b; cin >> b; PR(P[0][b+M-N]); } return 0; } /* */