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., p0, 1)); while let Some((prob, prevp, pattern)) = deque.pop_front() { if prob < 1e-12 { continue; } let p = match pattern { 1 => { prevp }, 2 => { (prevp - q).max(0.).min(1.) }, 3 => { (prevp + q).max(0.).min(1.) }, _ => { unreachable!() }, }; result += prob * p / 2.; deque.push_back((prob * p / 2., p, 2)); result += prob * (1. - p) / 3.; deque.push_back((prob * (1. - p) / 3., p, 3)); } println!("{}", result); }