#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 int MAX = 110000; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } long long FINV(int n){ if (n < 0) return 0; return finv[n]; } vector yakusuu_rekkyo(ll n){ vector divisors; for(ll i = 1; i <= n; i++){ if(i * i > n)break; if(i * i == n){ divisors.push_back(i); break; }else if(n % i == 0){ divisors.push_back(i); divisors.push_back(n/i); } } sort(divisors.begin(), divisors.end()); return divisors; } int main() { COMinit(); ll n, k; cin >> n >> k; vector v = yakusuu_rekkyo(n); int m = v.size(); ll sum[m] = {}; ll ans = 0; drep(i,m){ int x = v[i]; if(x == 1) continue; if(k%x!=0) continue; sum[i] += COM(n/x,k/x); sum[i] %= MOD; ans += sum[i]; ans %= MOD; drep(j,i){ if(x % v[j] == 0) sum[j] += MOD - sum[i]; } // cout << x << ' ' << sum[i] << endl; } cout << ans << endl; return 0; }