#include using namespace std; typedef long long ll; #define F first #define S second #define pii pair #define eb emplace_back #define all(v) v.begin(), v.end() #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep3(i, l, n) for (int i = l; i < (n); ++i) #define sz(v) (int)v.size() #define endl '\n' const int inf = 1000000007; const ll INF = 1e18; // int mod = 998244353; int mod = 1000000007; #define abs(x) (x >= 0 ? x : -(x)) #define lb(v, x) (int)(lower_bound(all(v), x) - v.begin()) #define ub(v, x) (int)(upper_bound(all(v), x) - v.begin()) template inline bool chmin(T1 &a, T2 b) { if (a > b) { a = b; return 1; } return 0; } template inline bool chmax(T1 &a, T2 b) { if (a < b) { a = b; return 1; } return 0; } ll gcd(ll a, ll b) { if (b == 0) return a; return gcd(b, a % b); } ll lcm(ll a, ll b) { return a / gcd(a, b) * b; } template T pow_(T a, U b) { return b ? pow_(a * a, b / 2) * (b % 2 ? a : 1) : 1; } ll modpow(ll a, ll b, ll _mod) { return b ? modpow(a * a % _mod, b / 2, _mod) * (b % 2 ? a : 1) % _mod : 1; } template ostream& operator << (ostream& os, const pair& p) { os << p.F << " " << p.S; return os; } template ostream& operator << (ostream& os, const vector& vec) { rep(i, sz(vec)) { if (i) os << " "; os << vec[i]; } return os; } template inline istream& operator >> (istream& is, vector& v) { rep(j, sz(v)) is >> v[j]; return is; } template inline void add(T &a, T2 b) { a += b; if (a >= mod) a -= mod; } void solve(); int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cout << fixed << setprecision(10); int T; T = 1; while (T--) solve(); } // https://yukicoder.me/problems/no/1050/editorial // 操作回数が多い, 累乗する typedef vector vec; // エラー起きないよう使って typedef vector > mat; struct Matpow { int m; // matpow で代入される vec matmul(vec &dp, mat &mt) { vec ret(m, 0); for (int i = 0; i < m; ++i) for (int j = 0; j < m; ++j) { (ret[i] += mt[i][j] * dp[j]) %= mod; } return ret; } mat update(mat &mt) { mat ret(m, vec(m, 0)); for (int i = 0; i < m; ++i) for (int j = 0; j < m; ++j) for (int k = 0; k < m; ++k) { (ret[i][j] += mt[i][k] * mt[k][j]) %= mod; } return ret; } public: void matpow(vec &dp, mat &mt, ll k) { // dp * mt^k m = (int)dp.size(); while (k) { // logK if (k & 1) dp = matmul(dp, mt); mt = update(mt); // N^3 k >>= 1; } } }; void solve() { int m, k; cin >> m >> k; vector > c(m, vector(m)); rep(i, m) rep(k, m) { int j = (i + k) % m; c[i][j]++; j = i * k % m; c[i][j]++; } // rep(i, m) cout << c[i] << endl; vector a(m); a[0] = 1; Matpow _mat; _mat.matpow(a, c, 1LL * k); cout << a[0] << endl; }