#include using namespace std; template struct ModInt { int x; constexpr ModInt() : x(0) {} constexpr ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} constexpr ModInt &operator+=(const ModInt &p) noexcept { if ((x += p.x) >= mod) x -= mod; return *this; } constexpr ModInt &operator-=(const ModInt &p) noexcept { if ((x += mod - p.x) >= mod) x -= mod; return *this; } constexpr ModInt &operator*=(const ModInt &p) noexcept { x = (int)(1LL * x * p.x % mod); return *this; } constexpr ModInt &operator/=(const ModInt &p) noexcept { *this *= p.inverse(); return *this; } constexpr ModInt operator-() const { return ModInt(-x); } constexpr ModInt operator+(const ModInt &p) const noexcept { return ModInt(*this) += p; } constexpr ModInt operator-(const ModInt &p) const noexcept { return ModInt(*this) -= p; } constexpr ModInt operator*(const ModInt &p) const noexcept { return ModInt(*this) *= p; } constexpr ModInt operator/(const ModInt &p) const noexcept { return ModInt(*this) /= p; } constexpr bool operator==(const ModInt &p) const noexcept { return x == p.x; } constexpr bool operator!=(const ModInt &p) const noexcept { return x != p.x; } constexpr ModInt inverse() const noexcept { int a = x, b = mod, u = 1, v = 0, t = 0; while (b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } constexpr ModInt pow(int64_t n) const { ModInt res(1), mul(x); while (n) { if (n & 1) res *= mul; mul *= mul; n >>= 1; } return res; } friend constexpr ostream &operator<<(ostream &os, const ModInt &p) noexcept { return os << p.x; } friend constexpr istream &operator>>(istream &is, ModInt &a) noexcept { int64_t t = 0; is >> t; a = ModInt(t); return (is); } constexpr int get_mod() { return mod; } }; using mint = ModInt<>; int n, k; vector solve(); int main() { cin >> n >> k; auto res = solve(); for (auto p : res) cout << p << endl; return 0; } vector solve() { mint all = mint(2).pow(k).inverse(); vector cnt(n, 0); for (int i = 1; i <= 2 * n; i += 2) cnt[i % n] += 1; mint now = mint(2).pow(k) - 1; int len = 1, b = 2; while (k) { if (k & 1) len = 1LL * len * b % (2 * n); b = 1LL * b * b % (2 * n); k >>= 1; } len = (len - 1 + 2 * n) % (2 * n); now -= len; now /= 2 * n; for (auto &p : cnt) p *= now; for (int i = 1; i <= len; i += 2) cnt[i % n] += 1; vector res(n); for (int i = 0; i < n; ++i) res[i] = cnt[i] + cnt[(n - i) % n]; for (auto &p : res) p *= all; return res; }