/** author: shobonvip created: 2024.11.29 22:27:48 **/ #include using namespace std; //* ATCODER #include using namespace atcoder; typedef modint998244353 mint; //*/ /* BOOST MULTIPRECISION #include using namespace boost::multiprecision; //*/ typedef long long ll; #define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++) #define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--) #define all(v) v.begin(), v.end() template bool chmin(T &a, const T &b) { if (a <= b) return false; a = b; return true; } template bool chmax(T &a, const T &b) { if (a >= b) return false; a = b; return true; } template T max(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]); return ret; } template T min(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]); return ret; } template T sum(vector &a){ T ret = 0; for (int i=0; i<(int)a.size(); i++) ret += a[i]; return ret; } int prime_number[100050]; void solve() { ll n, p, q; cin >> n >> p >> q; ll number_of_primes = prime_number[n]; ll number_of_non_primes = n - prime_number[n]; ll prob_of_yes_to_prime = number_of_primes * p; ll prob_of_yes_to_non_prime = number_of_non_primes * (100 - q); cout << setprecision(15); cout << double(prob_of_yes_to_prime) / double(prob_of_yes_to_prime + prob_of_yes_to_non_prime) << '\n'; } int main(){ ios_base::sync_with_stdio(false); cin.tie(NULL); vector p(100050); rep(i,2,100050){ if (p[i]) continue; prime_number[i] += 1; for (int j=i*2; j<100050; j+=i){ p[j] = 1; } } rep(i,1,100050){ prime_number[i] += prime_number[i-1]; } int t; cin >> t; while(t--) solve(); }