#include using namespace std; using ll = long long; #define rep(i, n) for (int i = 0; i < (n); i++) //O(NK) template struct ModInt { public: static constexpr int mod() { return m; } static ModInt raw(int v) { ModInt x; x._v = v; return x; } ModInt() : _v(0) {} ModInt(long long v) { long long x = (long long)(v % (long long)(umod())); if (x < 0) x += umod(); _v = (unsigned int)(x); } unsigned int val() const { return _v; } ModInt& operator++() { _v++; if (_v == umod()) _v = 0; return *this; } ModInt& operator--() { if (_v == 0) _v = umod(); _v--; return *this; } ModInt operator++(int) { ModInt result = *this; ++*this; return result; } ModInt operator--(int) { ModInt result = *this; --*this; return result; } ModInt& operator+=(const ModInt& rhs) { _v += rhs._v; if (_v >= umod()) _v -= umod(); return *this; } ModInt& operator-=(const ModInt& rhs) { _v -= rhs._v; if (_v >= umod()) _v += umod(); return *this; } ModInt& operator*=(const ModInt& rhs) { unsigned long long z = _v; z *= rhs._v; _v = (unsigned int)(z % umod()); return *this; } ModInt& operator^=(long long n) { ModInt x = *this; *this = 1; if (n < 0) x = x.inv(), n = -n; while (n) { if (n & 1) *this *= x; x *= x; n >>= 1; } return *this; } ModInt& operator/=(const ModInt& rhs) { return *this = *this * rhs.inv(); } ModInt operator+() const { return *this; } ModInt operator-() const { return ModInt() - *this; } ModInt pow(long long n) const { ModInt r = *this; r ^= n; return r; } ModInt inv() const { int a = _v, b = umod(), y = 1, z = 0, t; for (; ; ) { t = a / b; a -= t * b; if (a == 0) { assert(b == 1 || b == -1); return ModInt(b * z); } y -= t * z; t = b / a; b -= t * a; if (b == 0) { assert(a == 1 || a == -1); return ModInt(a * y); } z -= t * y; } } friend ModInt operator+(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) += rhs; } friend ModInt operator-(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) -= rhs; } friend ModInt operator*(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) *= rhs; } friend ModInt operator/(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) /= rhs; } friend ModInt operator^(const ModInt& lhs, long long rhs) { return ModInt(lhs) ^= rhs; } friend bool operator==(const ModInt& lhs, const ModInt& rhs) { return lhs._v == rhs._v; } friend bool operator!=(const ModInt& lhs, const ModInt& rhs) { return lhs._v != rhs._v; } friend ModInt operator+(long long lhs, const ModInt& rhs) { return (ModInt(lhs) += rhs); } friend ModInt operator-(long long lhs, const ModInt& rhs) { return (ModInt(lhs) -= rhs); } friend ModInt operator*(long long lhs, const ModInt& rhs) { return (ModInt(lhs) *= rhs); } friend ostream &operator<<(ostream& os, const ModInt& rhs) { return os << rhs._v; } private: unsigned int _v; static constexpr unsigned int umod() { return m; } }; constexpr int MOD = 1000000007; //constexpr int MOD = 998244353; using mint = ModInt; int main() { int N,K; cin >> N >> K; vector dp(N); dp[0] = 1; mint b = mint(2).inv(); int d = 1; rep(_,K) { vector nex(N); rep(i,N) { nex[(i+d)%N] += dp[i]*b; nex[(i-d+N)%N] += dp[i]*b; } swap(dp,nex); d = (d*2)%N; } rep(i,N) cout << dp[i] << '\n'; }