#![allow(unused_imports)] #![allow(non_snake_case)] use std::collections::HashMap; use std::collections::HashSet; #[allow(unused_macros)] macro_rules! read { ([$t:ty] ; $n:expr) => ((0..$n).map(|_| read!([$t])).collect::>()); ($($t:ty),+ ; $n:expr) => ((0..$n).map(|_| read!($($t),+)).collect::>()); ([$t:ty]) => (rl().split_whitespace().map(|w| w.parse().unwrap()).collect::>()); ($t:ty) => (rl().parse::<$t>().unwrap()); ($($t:ty),*) => {{ let buf = rl(); let mut w = buf.split_whitespace(); ($(w.next().unwrap().parse::<$t>().unwrap()),*) }}; } #[allow(dead_code)] fn rl() -> String { let mut buf = String::new(); std::io::stdin().read_line(&mut buf).unwrap(); buf.trim_end().to_owned() } trait IteratorExt: Iterator + Sized { fn vec(self) -> Vec { self.collect() } } impl IteratorExt for T {} fn main() { let n = read!(isize); let a = read!([isize]); let b = read!([isize]); let rate = match n { 1 => { if a[0] > b[0] { 1.0 } else { 0.0 } }, 2 => { let tmp = help2([ [c(a[0], b[0]), c(a[1], b[0])], [c(a[0], b[1]), c(a[1], b[1])], ]); tmp.iter().filter(|&&e| e > 0).count() as f64 / 2.0 }, 3 => { let tmp = help3([ [c(a[0], b[0]), c(a[1], b[0]), c(a[2], b[0])], [c(a[0], b[1]), c(a[1], b[1]), c(a[2], b[1])], [c(a[0], b[2]), c(a[1], b[2]), c(a[2], b[2])], ]); tmp.iter().filter(|&&e| e > 0).count() as f64 / 6.0 }, 4 => { let tmp = help4([ [c(a[0], b[0]), c(a[1], b[0]), c(a[2], b[0]), c(a[3], b[0])], [c(a[0], b[1]), c(a[1], b[1]), c(a[2], b[1]), c(a[3], b[1])], [c(a[0], b[2]), c(a[1], b[2]), c(a[2], b[2]), c(a[3], b[2])], [c(a[0], b[3]), c(a[1], b[3]), c(a[2], b[3]), c(a[3], b[3])], ]); tmp.iter().filter(|&&e| e > 0).count() as f64 / 24.0 }, _ => 0.0 }; println!("{}", rate); } fn c(a: isize, b: isize) -> isize { if a > b { 1 } else { -1 } } // 2x2 で何勝か fn help2(table: [[isize; 2]; 2]) -> Vec { let mut v = vec![]; v.push(table[0][0] + table[1][1]); v.push(table[0][1] + table[1][0]); v } fn help3(t: [[isize; 3]; 3]) -> Vec { let mut v = vec![]; for i in 0..=2 { let tmp = help2([ [t[1][(i+1)%3], t[1][(i+2)%3]], [t[2][(i+1)%3], t[2][(i+2)%3]] ]); for e in tmp.iter() { v.push(e + t[0][i]); } } v } fn help4(t: [[isize; 4]; 4]) -> Vec { let mut v = vec![]; for i in 0..=3 { let tmp = help3([ [t[1][(i+1)%4], t[1][(i+2)%4], t[1][(i+3)%4]], [t[2][(i+1)%4], t[2][(i+2)%4], t[2][(i+3)%4]], [t[3][(i+1)%4], t[3][(i+2)%4], t[3][(i+3)%4]], ]); for e in tmp.iter() { v.push(e + t[0][i]); } } v }