#include #include template struct ModInt { using lint = long long; int val; // constructor ModInt(lint v = 0) : val(v % MOD) { if (val < 0) val += MOD; }; // unary operator ModInt operator+() const { return ModInt(val); } ModInt operator-() const { return ModInt(MOD - val); } ModInt inv() const { return this->pow(MOD - 2); } // arithmetic ModInt operator+(const ModInt& x) const { return ModInt(*this) += x; } ModInt operator-(const ModInt& x) const { return ModInt(*this) -= x; } ModInt operator*(const ModInt& x) const { return ModInt(*this) *= x; } ModInt operator/(const ModInt& x) const { return ModInt(*this) /= x; } ModInt pow(lint n) const { auto x = ModInt(1); auto b = *this; while (n > 0) { if (n & 1) x *= b; n >>= 1; b *= b; } return x; } // compound assignment ModInt& operator+=(const ModInt& x) { if ((val += x.val) >= MOD) val -= MOD; return *this; } ModInt& operator-=(const ModInt& x) { if ((val -= x.val) < 0) val += MOD; return *this; } ModInt& operator*=(const ModInt& x) { val = lint(val) * x.val % MOD; return *this; } ModInt& operator/=(const ModInt& x) { return *this *= x.inv(); } // compare bool operator==(const ModInt& b) const { return val == b.val; } bool operator!=(const ModInt& b) const { return val != b.val; } // I/O friend std::istream& operator>>(std::istream& is, ModInt& x) noexcept { return is >> x.val; } friend std::ostream& operator<<(std::ostream& os, const ModInt& x) noexcept { return os << x.val; } }; constexpr int MOD = 1e9 + 7; using mint = ModInt; template using Vector = std::vector; template using Matrix = Vector>; template Matrix operator*(const Matrix& a, const Matrix& b) { int n = a.size(), m = b.size(), l = b.front().size(); Matrix ret(n, Vector(l, 0)); for (int i = 0; i < n; ++i) { for (int k = 0; k < l; ++k) { for (int j = 0; j < m; ++j) { ret[i][k] += a[i][j] * b[j][k]; } } } return ret; } template Vector operator*(const Matrix& a, const Vector& v) { int n = a.size(), m = v.size(); Vector ret(n, 0); for (int i = 0; i < n; ++i) { for (int j = 0; j < m; ++j) { ret[i] += a[i][j] * v[j]; } } return ret; } template Matrix mpow(Matrix b, Int n) { Matrix ret(b.size(), Vector(b.size(), 0)); for (int i = 0; i < (int)b.size(); ++i) ret[i][i] = 1; while (n > 0) { if (n & 1) ret = ret * b; n >>= 1; b = b * b; } return ret; } void solve() { int m, k; std::cin >> m >> k; Matrix a(m, Vector(m, 0)); for (int i = 0; i < m; ++i) { for (int j = 0; j < m; ++j) { a[i][(i + j) % m] += 1; a[i][(i * j) % m] += 1; } } a = mpow(a, k); std::cout << a[0][0] << std::endl; } int main() { std::cin.tie(nullptr); std::ios::sync_with_stdio(false); solve(); return 0; }