#include #define rep(i,n) for(int i = 0; i < (n); ++i) #define srep(i,s,t) for (int i = s; i < t; ++i) #define drep(i,n) for(int i = (n)-1; i >= 0; --i) using namespace std; typedef long long int ll; typedef pair P; #define yn {puts("Yes");}else{puts("No");} #define MAX_N 200005 const ll MOD = 1000000007; int m, k; // 遷移行列のサイズ // DPの更新 vector matmul(vector &dp, vector> &mt){ vector ret(m,0); rep(i,m){ rep(j,m){ ret[i] += mt[i][j] * dp[j] % MOD; ret[i] %= MOD; } } return ret; } // 遷移行列の更新 vector> update_matmul(vector> &mt){ vector> ret(m, vector(m,0)); rep(i,m){ rep(j,m){ rep(k,m){ ret[i][j] += mt[i][k] * mt[k][j] % MOD; ret[i][j] %= MOD; } } } return ret; } void matpow(vector &dp, vector> &mt, ll k){ int m = dp.size(); while(k){ if(k & 1) dp = matmul(dp, mt); mt = update_matmul(mt); k /= 2; } } int main() { cin >> m >> k; vector dp(m); rep(i,m) dp[i] = 0; dp[0] = 1; vector> mt(m,vector(m)); rep(i,m)rep(j,m)mt[i][j] = 0; rep(i,m){ rep(j,m){ mt[(j+i)%m][j]++; } } rep(i,m){ rep(j,m){ mt[(j*i)%m][j]++; } } matpow(dp, mt, k); ll ans = dp[0]; cout << ans << endl; return 0; }