#![allow(unused_imports)] use std::cmp::*; use std::collections::*; use std::io::Write; use std::ops::Bound::*; #[allow(unused_macros)] macro_rules! debug { ($($e:expr),*) => { #[cfg(debug_assertions)] $({ let (e, mut err) = (stringify!($e), std::io::stderr()); writeln!(err, "{} = {:?}", e, $e).unwrap() })* }; } fn main() { let v = read_vec::(); let (a, b) = (v[0], v[1]); if a == 0 && b == 0 { println!("0.25"); return; } if a == 0 || b == 0 { let mut ans = 0.0; for bi in -20..20 { let x = (2i64 + bi * b + bi * a) as f64; if x >= 20.0 || 2i64 + bi * b + bi * a < 0 { continue; } ans += 1. / x.powf(x); } println!("{}", ans); return; } if a == b { let mut ans = 0.0; for ai in 0..20 { let x = (2i64 + 2 * ai * a) as f64; if x >= 20.0 || 2i64 + 2 * ai * a < 0 { continue; } ans += 1. / x.powf(x); } println!("{}", ans); return; } let mut ans = -0.25; for _ in 0..2 { for ai in -20..20 { for bi in -20..20 { let x = (2i64 + ai * a + bi * b) as f64; if x >= 20.0 || 1 + ai * a < 0 || 1 + bi * b < 0 { continue; } ans += 1. / x.powf(x); } } } println!("{}", ans); } fn read() -> T { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); s.trim().parse().ok().unwrap() } fn read_vec() -> Vec { read::() .split_whitespace() .map(|e| e.parse().ok().unwrap()) .collect() }