#include using namespace std; #define REP(i,a,n) for(int i=(a); i<(int)(n); i++) #define rep(i,n) REP(i,0,n) #define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it) #define ALLOF(c) (c).begin(), (c).end() typedef long long ll; typedef unsigned long long ull; typedef vector vec; typedef vector mat; const ll MOD = 1000000007; mat mul(mat &A, mat &B){ mat C(A.size(), vec(B[0].size())); rep(i,A.size()) rep(k,B.size()){ rep(j,B[0].size()){ C[i][j] = (C[i][j]+A[i][k]*B[k][j])%MOD; } } return C; } mat pow(mat A, ll n){ mat B(A.size(), vec(A.size())); rep(i,A.size()) B[i][i] = 1; while(n>0){ if(n&1) B=mul(B,A); A=mul(A,A); n>>=1; } return B; } vector mulv(mat &A, vector v){ vector ret = v; rep(i,v.size()){ ll res = 0; rep(j,v.size()){ res += A[i][j]*v[j]; res = res%MOD; } ret[i] = res%MOD; } return ret; } int main(){ ll M, K; cin >> M >> K; vec v(M,0); v[0] = 1; mat m(M, vec(M, 0)); rep(i,M){ rep(j,M){ m[(i+j)%M][i]++; m[(i*j)%M][i]++; } } mat a = pow(m,K); vec ret = mulv(a, v); cout << ret[0] << endl; return 0; }