#include #include using namespace std; const int N = 1000010, MOD = 1000000007; int n, k, f[N], fac[N], ifac[N], inv[N], ans; int GCD(int x, int y) { return y ? GCD(y, x % y) : x; } void Init() { fac[0] = ifac[0] = 1; fac[1] = inv[1] = ifac[1] = 1; for (int i = 2; i < N; ++i) { fac[i] = 1LL * fac[i - 1] * i % MOD; inv[i] = 1LL * (MOD - MOD / i) * inv[MOD % i] % MOD; ifac[i] = 1LL * ifac[i - 1] * inv[i] % MOD; } } int C(int x, int y) { if (y < 0 || x < y) return 0; return 1LL * fac[x] * ifac[y] % MOD * ifac[x - y] % MOD; } int main() { // freopen("cycle.in", "r", stdin); // freopen("cycle.out", "w", stdout); Init(); scanf("%d%d", &n, &k); int x = GCD(n, k); for (int i = x; i >= 2; --i) { if (x % i != 0) continue; (f[x / i] += C(n / i, k / i)) %= MOD; (ans += f[x / i]) %= MOD; for (int j = 2 * x / i; j <= x; j += x / i) { if (x % j == 0) { (((f[j] -= C(n / i, k / i)) %= MOD) += MOD) %= MOD; } } } printf("%d\n", ans); return 0; }