#include using namespace std; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) (a).begin(), (a).end() #define Sort(a) (sort((a).begin(), (a).end())) #define RSort(a) (sort((a).rbegin(), (a).rend())) #define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end())) typedef long long int ll; typedef unsigned long long ul; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef vector vld; typedef pair P; template long long sum(const T &a){ return accumulate(a.begin(), a.end(), 0LL); } template auto min(const T &a){ return *min_element(a.begin(), a.end()); } template auto max(const T &a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double EPS = 1e-9; const long double PI = acos(-1); template inline bool chmax(T &a, T b) { if(a < b) { a = b; return 1; } return 0; } template inline bool chmin(T &a, T b) { if(a > b) { a = b; return 1; } return 0; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template istream &operator>>(istream &is, vector &v){ for(T &in : v) is >> in; return is; } template ostream &operator<<(ostream &os, const vector &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, const map &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st){ auto itr = st.begin(); for(int i = 0; i < (int) st.size(); ++i){ os << *itr << (i + 1 != (int) st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st){ auto itr = st.begin(); for(int i = 0; i < (int) st.size(); ++i){ os << *itr << (i + 1 != (int) st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, queue q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template long long binary_search(long long ok, long long ng, T check){ while(abs(ok - ng) > 1){ long long mid = (ok + ng) / 2; if(check(mid)) ok = mid; else ng = mid; } return ok; } template long double binary_search_real(long double ok, long double ng, T check, int iter = 100){ for(int i = 0; i < iter; ++i){ long double mid = (ok + ng) / 2; if(check(mid)) ok = mid; else ng = mid; } return ok; } template long long trisum(T a, T b){ long long res = ((b - a + 1) * (a + b)) / 2; return res; } template T intpow(T x, int n){ T ret = 1; while(n > 0) { if(n & 1) (ret *= x); (x *= x); n >>= 1; } return ret; } template T getReminder(T a, T b){ if(b == 0) return -1; if(a >= 0 && b > 0){ return a % b; } else if(a < 0 && b > 0){ return ((a % b) + b) % b; } else if(a >= 0 && b < 0){ return a % b; } else{ return (abs(b) - abs(a % b)) % b; } } template inline T vin(T &vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T &a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector> &G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } template struct PrimeSieve{ int n, half; std::vector sieve; std::vector prime_list; // sieve[i] ... 2 * i + 1 PrimeSieve(T _n) : n(_n){ init(); } void init(){ if(n < 2){ return; } half = (n + 1) / 2; sieve.assign(half, true); sieve[0] = false; prime_list.emplace_back(2); for(long long i = 1; 2 * i + 1 <= n; ++i){ if(!sieve[i]) continue; T p = 2 * i + 1; prime_list.emplace_back(p); for(long long j = 2 * i * (i + 1); j < half; j += p){ sieve[j] = false; } } } bool isPrime(T x){ if(x == 2) return true; if(x % 2 == 0) return false; return sieve[x / 2]; } T getPrimeCount(){ return prime_list.size(); } T getKthPrime(int k){ return prime_list[k]; } }; ll T; void input(){ in(T); } void solve(){ ll mx = 100000; PrimeSieve ps(mx); vll cnt(mx + 1, 0); rep(i, 1, mx + 1) cnt[i] += ps.isPrime(i); vll cs(mx + 2, 0); rep(i, 1, mx + 1) cs[i + 1] = cs[i] + cnt[i]; ll t; in(t); while(t--){ ll n; ld p, q; in(n, p, q); p /= 100; q /= 100; ld r = cs[n + 1], s = n - cs[n + 1]; r /= n, s /= n; ld ans = r * p; ans /= r * p + s * (1 - q); out(ans); } } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); T = 1; // input(); while(T--) solve(); }