typedef long long ll; #include using namespace std; const int MAX = 1000010; 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; } int main() { ll n,k; COMinit(); std::cin >> n>>k; vector prime(n+1,1); prime[0] = prime[1] = 0; for (int i = 1; i < n+1; i++) { if(prime[i]==1){ for(int j = i + i; j < n+1; j+=i){ prime[j] = i; } } } map memo; ll ans = 0; for (int i = 2; i < n; i++) { if(n%i==0&&k%(n/i)==0){ memo[i]=COM(i,k/(n/i)); if(prime[i]==1){ ans += memo[i]; ans %= MOD; }else{ ll now = memo[i]; // ans += memo[i]; ans %= MOD; ll tmp = i; set s; while(prime[tmp]>1){ s.insert(prime[tmp]); s.insert(tmp/prime[tmp]); tmp/=prime[tmp]; } if(tmp!=1){ s.insert(tmp); } for (auto e : s) { now -= memo[e]; now = (now+MOD)%MOD; } memo[i]=now; ans += memo[i]; } } } if(n==1){ std::cout << 0 << std::endl; return 0; } if(n==k){ std::cout << 1 << std::endl; return 0; } std::cout << ans << std::endl; }