use std::collections::VecDeque; fn main() { let mut temp = String::new(); std::io::stdin().read_line(&mut temp).ok(); let temp: Vec = temp.trim().split_whitespace().map(|s| s.parse().unwrap()).collect(); let p0 = temp[0] / 100.; let q = temp[1] / 100.; let mut result = 1. / 3.; let mut deque = VecDeque::new(); deque.push_back((1. / 3., 1, p0)); while let Some((prob, pattern, prevp)) = deque.pop_front() { if prob < 1e-12 { continue; } let p = match pattern { 1 => { prevp }, 2 => { (prevp+q).min(1.) }, 3 => { (prevp-q).max(0.) }, _ => { unreachable!() } }; let eq = prob * p / 2.; result += eq; deque.push_back((eq, 3, p)); let eq = prob * (1. - p) / 3.; result += eq; deque.push_back((eq, 2, p)); } println!("{}", result); }