namespace AtCoder; #nullable enable using System.Numerics; class Prime { readonly int[] sieve; public readonly List Primes = new(); public Prime(int n) { if (n <= 3) n = 3; sieve = new int[n + 1]; var (d, i, primes) = (2, 5, Primes); primes.Add(2); primes.Add(3); var span = sieve.AsSpan(); span[1] = 1; for (var j = 2; j <= n; j += 2) span[j] = 2; for (var j = 3; j <= n; j += 3) span[j] = 3; while (i <= n) { if (span[i] == 0) { primes.Add(i); for (var j = i; j <= n; j += i) span[j] = i; } i += d; d ^= 6; } } public bool IsPrime(int x) { if (x < 2) return false; if (x < sieve.Length) return sieve[x] == x; foreach (long p in Primes) { if (p * p > x) return true; if (x % p == 0) return false; } throw new Exception(); } // descending public List Factorize(int x) { var factors = new List(); while (sieve[x] > 1) { factors.Add(sieve[x]); x /= sieve[x]; } return factors; } public List Divisors(int x) { var factors = Factorize(x); var powerLists = new List>(); var last = 1; foreach (var factor in factors) { if (factor != last) { powerLists.Add(new List(new int[] { 1 })); last = factor; } var powers = powerLists[^1]; powers.Add(powers[^1] * factor); } var divisors = new List(); void Enumerate(int index, int divisor) { if (index == powerLists.Count) { divisors.Add(divisor); return; } foreach (var power in powerLists[index]) Enumerate(index + 1, divisor * power); } Enumerate(0, 1); return divisors; } } static class Extensions { public static T[] Repeat(this int time, Func F) => Enumerable.Range(0, time).Select(_ => F()).ToArray(); } class AtCoder { object? Solve() { var max = 100000; var prime = new Prime(max); var cz = new int[max + 1]; for (var i = 1; i <= max; i++) { cz[i] = cz[i - 1]; if (prime.IsPrime(i)) cz[i]++; } var t = Int(); var ans = new double[t]; for (var i = 0; i < t; i++) { var n = Int(); var p = Int(); var q = Int(); var c = cz[n]; var yp = c * p * 0.01 / n; var np = (n - c) * (100 - q) * 0.01 / n; ans[i] = yp / (yp + np); } Out(ans); return null; } public static void Main() => new AtCoder().Run(); public void Run() { var res = Solve(); if (res != null) { if (res is bool yes) res = yes ? "Yes" : "No"; sw.WriteLine(res); } sw.Flush(); } string[] input = Array.Empty(); int iter = 0; readonly StreamWriter sw = new(Console.OpenStandardOutput()) { AutoFlush = false }; string String() { while (iter >= input.Length) (input, iter) = (Console.ReadLine()!.Split(' '), 0); return input[iter++]; } T Input() where T : IParsable => T.Parse(String(), null); int Int() => Input(); void Out(object? x, string? separator = null) { separator ??= Environment.NewLine; if (x is System.Collections.IEnumerable obj and not string) { var firstLine = true; foreach (var item in obj) { if (!firstLine) sw.Write(separator); firstLine = false; sw.Write(item); } } else sw.Write(x); sw.WriteLine(); } }