#include using namespace std; #define FOR(i, j, k, l) for(int i = (j); i < (k); i += (l)) #define FORD(i, j, k, l) for(int i =(j); i >= (k); i -= (l)) #define REP(i, n) FOR(i, 0, n, 1) #define REPD(i, n) FORD(i, n, 0, 1) typedef long long ll; const ll INFF = (ll)1e18; const int INF = (int)1e9; ll k, n; const ll mod = (int)1e9 + 7; vector> mul(vector> a, vector> b){ vector> mat(k, vector(k, 0)); REP(i, k){ REP(j, k){ REP(g, k){ mat[i][j] += a[i][g] * b[g][j]; mat[i][j] %= mod; } } } return mat; } vector> binpow(vector> a, ll y){ vector> res(k, vector(k, 0)); REP(i, k) res[i][i] = 1; while(y > 0){ if(y&1){ res = mul(res, a); } y>>=1; a = mul(a, a); } return res; } int main(){ ios_base::sync_with_stdio(false); cin.tie(0); cin >> k >> n; vector> in(k, vector(k, 0)); REP(i, k){ REP(j, k){ int f = i + 1; int s = j + 1; if(__gcd(f, s) == 1){ in[i][j] = 1; } } } /* REP(i, k){ REP(j, k){ cout << in[i][j] << " "; } cout << "\n"; } cout << "---\n"; REP(i, k){ REP(j, k){ cout << ans[i][j] << " "; } cout << "\n"; } */ vector> ans = binpow(in, n - 1); ll result = 0; REP(i, k){ REP(j, k){ result += ans[i][j]; result %= mod; } } cout << result << "\n"; return 0; }