#include using namespace std; namespace arithmetic { template class Addition { public: template T operator+(const V& v) const { return T(static_cast(*this)) += v; } }; template class Subtraction { public: template T operator-(const V& v) const { return T(static_cast(*this)) -= v; } }; template class Multiplication { public: template T operator*(const V& v) const { return T(static_cast(*this)) *= v; } }; template class Division { public: template T operator/(const V& v) const { return T(static_cast(*this)) /= v; } }; template class Modulus { public: template T operator%(const V& v) const { return T(static_cast(*this)) %= v; } }; } template class IndivisibleArithmetic : public arithmetic::Addition, public arithmetic::Subtraction, public arithmetic::Multiplication {}; template class Arithmetic : public IndivisibleArithmetic, public arithmetic::Division {}; class Inverse { private: long long mod; vector inv; public: Inverse() {} Inverse(long long mod, long long n = 1000000) : mod(mod) { inv = vector(n, 1); for (int i = 2; i < n; ++i) inv[i] = inv[mod % i] * (mod - mod / i) % mod; } long long operator()(long long a) const { if (a < (int)inv.size()) return inv[a]; long long b = mod, x = 1, y = 0; while (b) { long long t = a / b; swap(a -= t * b, b); swap(x -= t * y, y); } return (x %= mod) < 0 ? x + mod : x; } }; class Mint : public Arithmetic { private: static long long mod; static Inverse inverse; long long val; public: Mint() {} Mint(const long long& val) { this->val = val % mod; if (this->val < 0) this->val += mod; } static void setMod(const long long& m) { mod = m; inverse = Inverse(m); } Mint operator+=(const Mint& m) { val += m.val; if (val >= mod) val -= mod; return *this; } Mint operator-=(const Mint& m) { val -= m.val; if (val < 0) val += mod; return *this; } Mint operator*=(const Mint& m) { val *= m.val; val %= mod; return *this; } Mint operator/=(const Mint& m) { val *= inverse(m.val); val %= mod; return *this; } Mint operator++() {return val += 1;} Mint operator--() {return val -= 1;} operator long long() { return val; } Mint identity() const { return 1; } }; long long Mint::mod = 1000000007; Inverse Mint::inverse(1000000007); ostream& operator<<(ostream& os, Mint a) { os << (long long)a; return os; } istream& operator>>(istream& is, Mint& a) { long long n; is >> n; a = n; return is; } unsigned xor128_x = 123456789, xor128_y = 362436069, xor128_z = 521288629, xor128_w = 88675123; unsigned xor128() { unsigned t = xor128_x ^ (xor128_x << 11); xor128_x = xor128_y; xor128_y = xor128_z; xor128_z = xor128_w; return xor128_w = xor128_w ^ (xor128_w >> 19) ^ (t ^ (t >> 8)); } void generateA(int N, int A[]) { for(int i = 0; i < N; ++ i) A[i] = xor128() % 100003; } int main() { int n, q; cin >> n >> q; int a[n]; generateA(n, a); unordered_set s; for (int i : a) s.insert(i); const int MOD = 100003; Mint::setMod(MOD); for (int i = 0; i < q; ++i) { long long k; cin >> k; if (k == 0) { cout << 0 << endl; } else if (n < 1000) { long long res = 0; for (int j : a) res = max(res, j * k % MOD); cout << res << endl; } else { for (Mint i = MOD - 1; ; --i) { if (s.count(i / k)) { cout << i << endl; break; } } } } }