#include using namespace std; #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) begin(v),end(v) template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } using ll = long long; using pii = pair; constexpr ll INF = 1ll<<30; constexpr ll longINF = 1ll<<60; constexpr ll MOD = 1000000007; constexpr bool debug = false; //---------------------------------// namespace tk { template T mod_pow(T x, T n, const T & mod) { assert(mod > 0); assert(n >= 0); x = (x % mod + mod) % mod; T res = 1 % mod; while (n > 0) { if (n & 1) res = res * x % mod; x = x * x % mod; n >>= 1; } return res; } } // namespace tk /** * @brief https://tkmst201.github.io/Library/Mathematics/ModInt.hpp */ template struct ModInt { static_assert(M > 0); using value_type = int; using calc_type = std::int_fast64_t; private: value_type val_; public: constexpr ModInt(calc_type val = 0) : val_(val < 0 ? (val % M + M) % M : val % M) {} constexpr value_type val() const noexcept { return val_; } constexpr static decltype(M) mod() noexcept { return M; } explicit constexpr operator bool() const noexcept { return val_; } constexpr bool operator !() const noexcept { return !static_cast(*this); } constexpr ModInt operator +() const noexcept { return *this; } constexpr ModInt operator -() const noexcept { return ModInt(-val_); } constexpr ModInt operator ++(int) noexcept { ModInt res = *this; ++*this; return res; } constexpr ModInt operator --(int) noexcept { ModInt res = *this; --*this; return res; } constexpr ModInt & operator ++() noexcept { val_ = val_ + 1 == M ? 0 : val_ + 1; return *this; } constexpr ModInt & operator --() noexcept { val_ = val_ == 0 ? M - 1 : val_ - 1; return *this; } constexpr ModInt & operator +=(const ModInt & rhs) noexcept { val_ += val_ < M - rhs.val_ ? rhs.val_ : rhs.val_ - M; return *this; } constexpr ModInt & operator -=(const ModInt & rhs) noexcept { val_ += val_ >= rhs.val_ ? -rhs.val_ : M - rhs.val_; return *this; } constexpr ModInt & operator *=(const ModInt & rhs) noexcept { val_ = static_cast(val_) * rhs.val_ % M; return *this; } constexpr ModInt & operator /=(const ModInt & rhs) noexcept { return *this *= rhs.inv(); } friend constexpr ModInt operator +(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) += rhs; } friend constexpr ModInt operator -(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) -= rhs; } friend constexpr ModInt operator *(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) *= rhs; } friend constexpr ModInt operator /(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) /= rhs; } friend constexpr bool operator ==(const ModInt & lhs, const ModInt & rhs) noexcept { return lhs.val_ == rhs.val_; } friend constexpr bool operator !=(const ModInt & lhs, const ModInt & rhs) noexcept { return !(lhs == rhs); } friend std::ostream & operator <<(std::ostream & os, const ModInt & rhs) { return os << rhs.val_; } friend std::istream & operator >>(std::istream & is, ModInt & rhs) { calc_type x; is >> x; rhs = ModInt(x); return is; } constexpr ModInt pow(calc_type n) const noexcept { ModInt res = 1, x = val_; if (n < 0) { x = x.inv(); n = -n; } while (n) { if (n & 1) res *= x; x *= x; n >>= 1; } return res; } constexpr ModInt inv() const noexcept { value_type a = val_, a1 = 1, b = M, b1 = 0; while (b > 0) { value_type q = a / b, r = a % b; value_type nb1 = a1 - q * b1; a = b; b = r; a1 = b1; b1 = nb1; } assert(a == 1); return a1; } }; using mint = ModInt; int main() { int N, K; cin >> N >> K; const int m = tk::mod_pow(2, K, N); const int st = (N - (m + N - 1) % N) % N; mint l = 0; // floor(2^k / N) が入る予定 int down = 1; // 2^k / N の筆算の下 REP(i, K) { down <<= 1; l = l * 2 + (down / N); down %= N; } cout << l << ", " << m << endl; vector ans(N); for (int i = 0, s = st; i < N; ++i, s = (s + 2) % N) ans[s] = l; for (int i = 0, s = st; i < m; ++i, s = (s + 2) % N) ++ans[s]; const mint p = mint(2).pow(K).inv(); REP(i, N) printf("%d\n", (ans[i] * p).val()); }