#include using namespace std; #define DEBUG(x) cerr<<#x<<": "< #define vl vector #define vii vector< vector > #define vll vector< vector > #define vs vector #define pii pair #define pis pair #define psi pair #define pll pair template pair operator+(const pair &s, const pair &t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair &s, const pair &t) { return pair(s.first - t.first, s.second - t.second); } template ostream& operator<<(ostream& os, pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define X first #define Y second #define rep(i,n) for(int i=0;i<(int)(n);i++) #define rep1(i,n) for(int i=1;i<=(int)(n);i++) #define rrep(i,n) for(int i=(int)(n)-1;i>=0;i--) #define rrep1(i,n) for(int i=(int)(n);i>0;i--) #define REP(i,a,b) for(int i=a;i bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; } #define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end()); const ll inf = 1000000001; const ll INF = (ll)1e18 + 1; const long double pi = 3.1415926535897932384626433832795028841971L; #define Sp(p) cout<= MOD ? a.n - a.Mod : a.n); } Modint operator-(Modint a, Modint b) { return Modint((a.n -= b.n) < 0 ? a.n + a.Mod : a.n); } Modint operator*(Modint a, Modint b) { return Modint(1LL * a.n * b.n % a.Mod); } Modint &operator+=(Modint &a, Modint b) { return a = a + b; } Modint &operator-=(Modint &a, Modint b) { return a = a - b; } Modint &operator*=(Modint &a, Modint b) { return a = a * b; } typedef vector vec; typedef vector mat; mat mul(mat &A, mat &B) { mat C(A.size(), vec(B[0].size())); for (int i = 0; i < A.size(); i++) { for (int k = 0; k < B.size(); k++) { for (int j = 0; j < B[0].size(); j++) { C[i][j] = C[i][j] + A[i][k] * B[k][j]; } } } return C; } vec mul(mat &A, vec &B) { vec C(A.size()); for (int i = 0; i < A.size(); i++) { for (int j = 0; j < B.size(); j++) { C[i] += A[i][j] * B[j]; } } return C; } mat pow(mat A, ll n) { mat B(A.size(), vec(A.size())); for (int i = 0; i < A.size(); i++) { B[i][i] = 1; } while (n > 0) { if (n & 1)B = mul(B, A); A = mul(A, A); n >>= 1; } return B; } signed main() { fio(); ll p, k; cin >> p >> k; vec b(p); b[0] = 1; mat A(p, vec(p)); rep (j, p) { rep (add, p) { int i = (j + add) % p; A[i][j].n++; } rep (mul, p) { int i = (j * mul) % p; A[i][j].n++; } } mat An = pow(A, k); vec x = mul(An, b); cout << x[0].n << endl; }