#pragma GCC target("avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include using namespace std; using ll = long long; using ld = long double; using VI = vector; using VL = vector; using VS = vector; template using PQ = priority_queue, greater>; #define FOR(i,a,n) for(int (i)=(a);(i)<(n);++(i)) #define eFOR(i,a,n) for(int (i)=(a);(i)<=(n);++(i)) #define rFOR(i,a,n) for(int (i)=(n)-1;(i)>=(a);--(i)) #define erFOR(i,a,n) for(int (i)=(n);(i)>=(a);--(i)) #define each(i, a) for(auto &i : a) #define SORT(i) sort((i).begin(),(i).end()) #define rSORT(i,a) sort((i).begin(),(i).end(),(a)) #define all(i) (i).begin(),(i).end() #define out(y,x) ((y) < 0 || h <= (y) || (x) < 0 || w <= (x)) #define line cout << "-----------------------------\n" #define ENDL(i,n) ((i) == (n) - 1 ? "\n" : " ") constexpr ll INF = 1000000000; constexpr ll LLINF = 1LL << 60; constexpr ll mod = 1000000007; constexpr ll MOD = 998244353; constexpr ld eps = 1e-10; constexpr ld pi = 3.1415926535897932; templateinline bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; }return false; } templateinline bool chmin(T& a, const T& b) { if (a > b) { a = b; return true; }return false; } inline void init() { cin.tie(nullptr); cout.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } templateinline istream& operator>>(istream& is, vector& v) { for (auto& a : v)is >> a; return is; } templateinline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } templateinline vector vec(size_t a) { return vector(a); } templateinline vector defvec(T def, size_t a) { return vector(a, def); } templateinline auto vec(size_t a, Ts... ts) { return vector(ts...))>(a, vec(ts...)); } templateinline auto defvec(T def, size_t a, Ts... ts) { return vector(def, ts...))>(a, defvec(def, ts...)); } inline void print() { cout << "\n"; } templateinline void print(const T& a, const Ts&... ts) { cout << a << " "; print(ts...); } templateinline void print(const vector& v) { for (int i = 0; i < v.size(); ++i)cout << v[i] << (i == v.size() - 1 ? "\n" : " "); } templateinline void print(const vector>& v) { for (auto& a : v)print(a); } string reversed(const string& s) { string t = s; reverse(all(t)); return t; } struct matrix { int n, m; vector> dat; matrix(const vector>& _a) : dat(_a) { n = dat.size(), m = dat.front().size(); } matrix(const int& _n, const int& _m) : n(_n), m(_m) { dat = vec(n, m); } matrix() {} matrix operator*=(const matrix& a) { assert(m == a.n); matrix ret(vec(n, a.m)); FOR(i, 0, n)FOR(k, 0, m)FOR(j, 0, a.m) { ret[i][j] += dat[i][k] * a.dat[k][j] % mod; if (mod <= ret[i][j])ret[i][j] -= mod; } return *this = ret; } matrix operator*(const matrix& a) { return matrix(*this) *= a; } matrix pow(ll k) const { assert(n == m); matrix ret(vec(n, n)), a(dat); FOR(i, 0, n)ret[i][i] = 1; for (; 0 < k; k >>= 1) { if (k & 1)ret*= a; a*= a; } return ret; } ll sum() const { ll ret = 0; FOR(i, 0, n)FOR(j, 0, m) { ret += dat[i][j]; if (mod <= ret)ret -= mod; } return ret; } vector& operator[](int i) { return dat[i]; } }; int main() { init(); int m, k; cin >> m >> k; matrix x(m, m), y(m, m); x[0][0] = 1; FOR(i, 0, m)FOR(j, 0, m) { ++y[i][(i + j) % m]; ++y[i][(i * j) % m]; } print((x * y.pow(k))[0][0]); }