#include using namespace std; #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 all(x) (x).begin(), (x).end() #define sz(x) int(x.size()) #define get_unique(x) x.erase(unique(all(x)), x.end()); typedef long long ll; typedef complex Complex; const int INF = 1e9; const ll MOD = 1e9 + 7; const ll LINF = 1e18; template bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } template vector make_vec(size_t a) { return vector(a); } template auto make_vec(size_t a, Ts... ts) { return vector(ts...))>(a, make_vec(ts...)); } template ostream& operator<<(ostream& os, vector v) { for (int i = 0; i < sz(v); i++) { os << v[i]; if (i < sz(v) - 1) os << " "; } return os; } struct modint { ll x; modint(ll x = 0) : x((x % MOD + MOD) % MOD) { } ll value() const { return x; } modint operator-() const { return modint(-x); } modint& operator+=(const modint a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } modint& operator-=(const modint a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } modint& operator*=(const modint a) { (x *= a.x) %= MOD; return *this; } modint operator+(const modint a) const { modint res(*this); return res += a; } modint operator-(const modint a) const { modint res(*this); return res -= a; } modint operator*(const modint a) const { modint res(*this); return res *= a; } modint pow(ll t) const { if (t == 0) return 1; modint a = pow(t >> 1); a *= a; if (t % 2 == 1) a *= *this; return a; } modint inv() const { return pow(MOD - 2); } modint& operator/=(const modint a) { return (*this) *= a.inv(); } modint operator/(const modint a) const { modint res(*this); return res /= a; } }; ostream& operator<<(ostream& os, const modint& x) { os << x.value(); return os; } template vector> matmul(vector>& a, vector>& b) { int n = sz(a), ma = sz(a[0]), mb = sz(b), p = sz(b[0]); assert(ma == mb); int m = ma; vector> ret(n, vector(p)); for (int i = 0; i < n; i++) { for (int j = 0; j < p; j++) { for (int k = 0; k < m; k++) { ret[i][j] += a[i][k] * b[k][j]; } } } return ret; } template vector> matpow(vector> mt, ll k) { int n = sz(mt); vector> ret(n); for (int i = 0; i < n; i++) { ret[i].resize(n); ret[i][i] = 1; } vector> now = mt; while (k) { if (k & 1) ret = matmul(ret, now); now = matmul(now, now); k /= 2; } return ret; } int main() { int m; ll k; cin >> m >> k; auto A = make_vec(m, m); rep(i, m) { rep(j, m) { A[i][(i + j) % m] += 1; A[i][i * j % m] += 1; } } A = matpow(A, k); auto B = make_vec(m, 1); B[0][0] = 1; auto ans = matmul(A, B); cout << ans[0][0] << endl; }