#include const long long INF = 1LL << 60; const long long MOD = 1000000007; const double PI = acos(-1.0); #define rep(i, n) for (ll i = 0; i < (n); ++i) #define rep1(i, n) for (ll i = 1; i <= (n); ++i) #define rrep(i, n) for (ll i = (n - 1); i >= 0; --i) #define perm(c) sort(ALL(c));for(bool c##p=1;c##p;c##p=next_permutation(ALL(c))) #define ALL(obj) (obj).begin(), (obj).end() #define RALL(obj) (obj).rbegin(), (obj).rend() #define pb push_back #define to_s to_string #define len(v) (ll)v.size() #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) #define print(x) cout << (x) << '\n' #define drop(x) cout << (x) << '\n', exit(0) #define debug(x) cout << #x << ": " << (x) << '\n' using namespace std; using ll = long long; typedef pair P; typedef vector vec; typedef vector> vec2; typedef vector>> vec3; template inline bool chmax(S &a, const T &b) { if (a inline bool chmin(S &a, const T &b) { if (b ostream &operator << (ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator >> (istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T1, typename T2, typename T3 > ostream &operator << (ostream &os, const tuple< T1, T2, T3 > &t) { os << get<0>(t) << " " << get<1>(t) << " " << get<2>(t); return os; } template< typename T1, typename T2, typename T3 > istream &operator >> (istream &is, tuple< T1, T2, T3 > &t) { is >> get<0>(t) >> get<1>(t) >> get<2>(t); return is; } template< typename T > ostream &operator << (ostream &os, const vector< T > &v){ for (int i = 0; i < (int)v.size(); ++i) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator >> (istream &is, vector< T > &v){ for(T &in : v) is >> in; return is; } /*--------------------------------- Tools ------------------------------------------*/ template< typename T > vector cumsum(const vector &X){ vector res(X.size() + 1, 0); for(int i = 0; i < X.size(); ++i) res[i + 1] += res[i] + X[i]; return res; } template< typename S, typename T, typename F> pair bisearch(S left, T right, F f) { while(abs(right - left) > 1){ T mid = (right + left) / 2; if(f(mid)) right = mid; else left = mid; } return {left, right}; } template< typename S, typename T, typename F> double trisearch(S left, T right, F f, int maxLoop = 90){ double low = left, high = right; while(maxLoop--){ double mid_left = high / 3 + low * 2 / 3; double mid_right = high * 2 / 3 + low / 3; if(f(mid_left) >= f(mid_right)) low = mid_left; else high = mid_right; } return (low + high) * 0.5; } template struct modint { long long val; constexpr modint(long long v = 0) noexcept : val(v % MOD){ if(val < 0) val += MOD; } constexpr int getmod() { return MOD; } constexpr modint operator-() const noexcept { return val ? MOD - val : 0; } constexpr modint operator+ (const modint &r) const noexcept { return modint(*this) += r; } constexpr modint operator- (const modint &r) const noexcept { return modint(*this) -= r; } constexpr modint operator* (const modint &r) const noexcept { return modint(*this) *= r; } constexpr modint operator/ (const modint &r) const noexcept { return modint(*this) /= r; } constexpr modint& operator++() noexcept { val += 1; return *this; } constexpr modint& operator--() noexcept { val -= 1; return *this; } constexpr modint& operator+= (const modint &r) noexcept { val += r.val; if(val >= MOD) val -= MOD; return *this; } constexpr modint& operator-= (const modint &r) noexcept { val -= r.val; if(val < 0) val += MOD; return *this; } constexpr modint& operator*= (const modint &r) noexcept { val = val * r.val % MOD; return *this; } constexpr modint& operator/= (const modint& r) noexcept { long long a = r.val, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } constexpr bool operator== (const modint &r) const noexcept { return this->val == r.val; } constexpr bool operator!= (const modint &r) const noexcept { return this->val != r.val; } friend constexpr istream& operator >> (istream &is, modint& x) noexcept { is >> x.val; x += 0; return is; } friend constexpr ostream& operator << (ostream &os, const modint& x) noexcept { return os << x.val; } friend constexpr modint modpow(const modint &a, long long n) noexcept { if(n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if(n & 1) t = t * a; return t; } }; using mint = modint; /*----------------------------------- Matrix ---------------------------------------------*/ template< typename T > struct Matrix{ vector> mat; constexpr Matrix(int n = 1, int m = 1, T v = 0) noexcept : mat(n, vector(m, v)) {} constexpr Matrix(vector> v) noexcept: mat(v) {} void init(int n, int m, T v = 0) { mat.assign(n, vector(m, v)); } size_t size() const { return mat.size(); } Matrix& operator = (const Matrix &A){ mat = A.mat; return *this; } constexpr Matrix operator+(const Matrix &A) const noexcept { return Matrix(*this) += A; } constexpr Matrix operator-(const Matrix &A) const noexcept { return Matrix(*this) -= A; } constexpr Matrix operator*(const Matrix &A) const noexcept { return Matrix(*this) *= A; } constexpr Matrix& operator+=(const Matrix &A) noexcept{ int n = mat.size(), m = A[0].size(); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) mat[i][j] += A[i][j]; return *this; } constexpr Matrix& operator-=(const Matrix &A) noexcept{ int n = mat.size(), m = A[0].size(); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) mat[i][j] -= A[i][j]; return *this; } constexpr Matrix& operator*=(const Matrix &A) noexcept{ int n = mat.size(), m = A[0].size(); Matrix res(n, m); for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) for (int k = 0; k < A.size(); ++k) res[i][j] += mat[i][k] * A[k][j]; mat = res.mat; return *this; } friend constexpr Matrix pow(const Matrix &A, long long n) noexcept{ Matrix res(A.size(), A.size()); auto B = A; for (int i = 0; i < A.size(); ++i) res[i][i] = 1; while(n){ if(n & 1) res = res * B; B *= B; n >>= 1; } return res; } friend constexpr T det(const Matrix &A) noexcept{ auto a = A; T det = 1, buf; int n = A.size(); for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) if(i < j){ buf = a[j][i] / a[i][i]; for (int k = 0; k < n; ++k) a[j][k] -= a[i][k] * buf; } for (int i = 0; i < n; ++i) det *= a[i][i]; return det; } vector &operator[](int i) { return mat[i]; } const vector &operator[](int i) const { return mat[i]; } friend ostream& operator << (ostream& os, const Matrix &M){ for (int i = 0; i < M.size(); ++i) os << M[i] << (i == (M.size() - 1) ? "" : "\n"); return os; } }; /*------------------------------- Main Code Here -----------------------------------------*/ int main() { ll M, K; cin >> M >> K; Matrix A(M, M); rep(i, M) rep(j, M) rep(k, M){ if((j + k) % M == i) ++A[i][j]; if((j * k) % M == i) ++A[i][j]; } print(pow(A, K)[0][0]); return 0; }