#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; const ll mod = 1000000007; const ll INF = mod * mod; typedef pairP; typedef pair sP; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) typedef pair LP; typedef vector vec; typedef long double ld; typedef pair LDP; const ld eps = 1e-5; const ld pi = acos(-1.0); typedef vector> mat; typedef vector vec; ll mod_pow(ll x, ll n) { ll ret = 1; while (n > 0) { if (n % 2)ret = ret * x%mod; x = x * x%mod; n >>= 1; } return ret; } struct perm { private: int sz; vector p, invp; public: perm(int n) { sz = n + 1; p.resize(sz), invp.resize(sz); p[0] = 1; rep1(i, sz - 1) { p[i] = p[i - 1] * i%mod; } invp[sz - 1] = 1; ll cop = mod - 2, x = p[sz - 1]; while (cop) { if (cop % 2)invp[sz - 1] = invp[sz - 1] * x%mod; cop >>= 1; x = x * x % mod; } per(i, sz - 1) { invp[i] = invp[i + 1] * (i + 1) % mod; } } ll comb(ll x, ll y) { if (x < y || y < 0)return 0; ll ret = p[x]; (ret *= invp[y]) %= mod; (ret *= invp[x - y]) %= mod; return ret; } ll combP(ll x, ll y) { if (x < y || y < 0)return 0; return p[x] * invp[x - y] % mod; } }; bool isp[1 << 20]; //vector ch[1 << 20]; vector tempura0224; void init() { fill(isp + 2, isp + (1 << 20), true); for (int j = 2; j < (1 << 20); j++) { if (!isp[j])continue; tempura0224.push_back(j); //ch[j].push_back(j); for (int i = 2 * j; i < (1 << 20); i += j) { //ch[i].push_back(j); isp[i] = false; } } } perm p(1 << 20); ll cnt[1 << 20]; void solve() { int n, k; cin >> n >> k; int d = sqrt(n + 0.1); vector v; rep1(i, d) { if (n%i == 0) { v.push_back(i); v.push_back(n / i); } } sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end()); v.pop_back(); ll ans = 0; rep(i, v.size()) { int d = v[i]; int r = n / d; if (k%r != 0)continue; cnt[d] = p.comb(d, k / r); ll num = 0; //vector &u = ch[d]; vector u; rep(j, tempura0224.size()) { if (tempura0224[j] > d)break; if (d%tempura0224[j] == 0) { u.push_back(tempura0224[j]); } } int len = u.size(); rep(j, (1 << len)) { ll pro = 1; int id = 0; rep(k, len) { if (j & (1 << k)) { pro = pro*u[k]; id ^= 1; } } if (id) { num -= cnt[d / pro]; } else { num += cnt[d / pro]; } } cnt[d] = (num%mod+mod)%mod; } rep(i, (1 << 20))ans += cnt[i]; cout << ans % mod << endl; } signed main() { ios::sync_with_stdio(false); cin.tie(0); init(); solve(); //stop return 0; }