#include #define rep(i, n) for (int i = 0; i < int(n); i++) #define rrep(i, n) for (int i = int(n) - 1; i >= 0; i--) #define reps(i, n) for (int i = 1; i <= int(n); i++) #define rreps(i, n) for (int i = int(n); i >= 1; i--) #define repc(i, n) for (int i = 0; i <= int(n); i++) #define rrepc(i, n) for (int i = int(n); i >= 0; i--) #define repi(i, a, b) for (int i = int(a); i < int(b); i++) #define repic(i, a, b) for (int i = int(a); i <= int(b); i++) #define each(x, y) for (auto &x : y) #define all(a) (a).begin(), (a).end() #define bit32(x) (1 << (x)) #define bit64(x) (1ll << (x)) #define sz(v) ((int) v.size()) using namespace std; using i64 = long long; using f80 = long double; using vi32 = vector; using vi64 = vector; using vf80 = vector; using vstr = vector; inline void yes() { cout << "Yes" << endl; exit(0); } inline void no() { cout << "No" << endl; exit(0); } inline i64 gcd(i64 a, i64 b) { if (min(a, b) == 0) return max(a, b); if (a % b == 0) return b; return gcd(b, a % b); } inline i64 lcm(i64 a, i64 b) { if (min(a, b) == 0) return max(a, b); return a / gcd(a, b) * b; } template class pqasc : public priority_queue, greater> {}; template class pqdesc : public priority_queue, less> {}; template inline void amax(T &x, T y) { x = max(x, y); } template inline void amin(T &x, T y) { x = min(x, y); } template inline T exp(T x, i64 n, T e = 1) { T r = e; while (n > 0) { if (n & 1) r *= x; x *= x; n >>= 1; } return r; } template istream& operator>>(istream &is, vector &v) { each(x, v) is >> x; return is; } template ostream& operator<<(ostream &os, vector &v) { rep(i, v.size()) { if (i) os << ' '; os << v[i]; } return os; } void solve(); int main() { ios::sync_with_stdio(0); cin.tie(0); cout << fixed << setprecision(16); solve(); return 0; } template struct ModInt { int x; ModInt(): x(0) {} ModInt(long long a) { x = a % mod; if (x < 0) x += mod; } ModInt &operator+=(ModInt that) { x = (x + that.x) % mod; return *this; } ModInt &operator-=(ModInt that) { x = (x + mod - that.x) % mod; return *this; } ModInt &operator*=(ModInt that) { x = (long long) x * that.x % mod; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt inverse() { int a = x, b = mod, u = 1, v = 0; while (b) { int t = a / b; a -= t * b; u -= t * v; swap(a, b); swap(u, v); } return ModInt(u); } #define op(o, p) ModInt operator o(ModInt that) { return ModInt(*this) p that; } op(+, +=) op(-, -=) op(*, *=) op(/, /=) #undef op friend ostream& operator<<(ostream &os, ModInt m) { return os << m.x; } }; using mint = ModInt<1000000007>; template struct Matrix { vector> v; int r, c; Matrix(int r, int c) : r(r), c(c) { v.assign(r, vector(c)); } Matrix(vector> v) : v(v) { assert(v.size() > 0 && v[0].size() > 0); r = v.size(); c = v[0].size(); } vector& operator[](int x) { return v[x]; } Matrix operator*=(Matrix that) { assert(c == that.r); auto ret = Matrix(r, that.c); for (int i = 0; i < r; i++) { for (int j = 0; j < that.c; j++) { for (int k = 0; k < c; k++) { ret[i][j] += v[i][k] * that[k][j]; } } } return *this = ret; } Matrix operator*(Matrix that) { return Matrix(*this) *= that; } Matrix pow(long long n) { assert(r == c); auto ret = Matrix(r, c); for (int i = 0; i < r; i++) { ret[i][i] = 1; } auto temp = *this; while (n) { if (n & 1) ret *= temp; n >>= 1; temp *= temp; } return ret; } Matrix transpose() { Matrix ret(c, r); for (int i = 0; i < r; i++) { for (int j = 0; j < c; j++) { ret[j][i] = v[i][j]; } } return ret; } }; void solve() { int p, k; cin >> p >> k; Matrix ma(p, p); rep(i, p) rep(j, p) { ma[i][(i + j) % p] += 1; ma[i][(i * j) % p] += 1; } Matrix dp(1, p); dp[0][0] = 1; dp *= ma.pow(k); cout << dp[0][0] << endl; }