#include using namespace std; template struct ModInt { int x; ModInt() : x(0) {} ModInt(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod-p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int)(1LL*x*p.x%mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return ModInt(u); } ModInt pow(long long e){ long long a = 1, p = x; while(e > 0) { if (e & 1) {a = (a * p) % mod; e--;} else {p = (p * p) % mod; e /= 2;} } return ModInt(a); } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { long long x; is >> x; a = ModInt(x); return (is); } }; template struct Matrix { private : vector> A; public : Matrix () { } Matrix (size_t n, size_t m) : A(n, vector(m, 0)) { } Matrix (size_t n) : A(n, vector(n, 0)) { }; Matrix (const vector> &B) { A = B; } size_t height() const { return (A.size()); } size_t width() const { return (A[0].size()); } inline const vector &operator[] (int k) const { return (A.at(k)); } inline vector &operator[] (int k) { return (A.at(k)); } static Matrix E(size_t n) { Matrix mat(n); for (int i = 0; i < n; i++) mat[i][i] = 1; return (mat); } Matrix &operator+= (const Matrix &B) { size_t n = height(), m = width(); assert(n == B.height() and m == B.width()); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { (*this)[i][j] += B[i][j]; } } return (*this); } Matrix &operator-= (const Matrix &B) { size_t n = height(), m = width(); assert(n == B.height() and m == B.width()); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { (*this)[i][j] -= B[i][j]; } } return (*this); } Matrix &operator*= (const Matrix &B) { size_t n = height(), m = B.width(), p = width(); assert(p == B.height()); vector> C(n, vector(m, 0)); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { for (int k = 0; k < p; k++) { C[i][j] = (C[i][j] + (*this)[i][k] * B[k][j]); } } } A.swap(C); return (*this); } Matrix &operator^= (long long k) { Matrix B = Matrix::E(height()); while (k > 0) { if (k&1) B *= (*this); (*this) *= (*this); k >>= 1LL; } A.swap(B.A); return (*this); } Matrix operator+ (const Matrix &B) const { return (Matrix(*this) += B); } Matrix operator- (const Matrix &B) const { return (Matrix(*this) -= B); } Matrix operator* (const Matrix &B) const { return (Matrix(*this) *= B); } Matrix operator^ (const long long k) const { return (Matrix(*this) ^= k); } }; constexpr int MOD = 1'000'000'007; int main() { int m, k; cin >> m >> k; Matrix> dp(m); for (int i = 0; i < m; i++) { for (int j = 0; j < m; j++) { dp[i][(i + j) % m] += 1; dp[i][(i * j) % m] += 1; } } dp ^= k; cout << dp[0][0] << '\n'; return 0; }