Problem:
Score : 100 points

Problem Statement

Snuke lives at position x on a number line.
On this line, there are two stores A and B, respectively at position a and b, that offer food for delivery.

Snuke decided to get food delivery from the closer of stores A and B.
Find out which store is closer to Snuke's residence.

Here, the distance between two points s and t on a number line is represented by |s-t|.

Constraints

1 \leq x \leq 1000

1 \leq a \leq 1000

1 \leq b \leq 1000

x, a and b are pairwise distinct.

The distances between Snuke's residence and stores A and B are different.

Input

Input is given from Standard Input in the following format:

x a b

Output

If store A is closer, print A; if store B is closer, print B.

Sample Input 1

5 2 7

Sample Output 1

B

The distances between Snuke's residence and stores A and B are 3 and 2, respectively.
Since store B is closer, print B.

Sample Input 2

1 999 1000

Sample Output 2

A

Solution in Rust (1.15.1) (judge verdict: Wrong Answer)

use std::io;
use std::str::FromStr;

fn solve(x: i64, a: i64, b: i64) {
    if x < a {
        println!("A");
    } else if b < x {
        println!("B");
    } else if (x - a) > (b - x) {
        println!("B");
    } else {
        println!("A");
    }
}

fn main() {
    let mut input = String::new();
    io::stdin().read_line(&mut input).unwrap();
    let split : Vec<&str> = input.split(' ').collect();
    let x : i64 = i64::from_str(split[0].trim()).unwrap();
    let a : i64 = i64::from_str(split[1].trim()).unwrap();
    let b : i64 = i64::from_str(split[2].trim()).unwrap();
    solve(x, a, b);
}