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 JavaScript (node.js v5.12) (judge verdict: Accepted)

'use strict'

const main = (input) => {
    input = input.split(' ').map(v => parseInt(v))
    const x = input[0]
    const a = input[1]
    const b = input[2]
    const absA = Math.abs(x - a)
    const absB = Math.abs(x - b)
    if(absA < absB){
        console.log('A')
    }else{
        console.log('B')
    }
}

main(require('fs').readFileSync('/dev/stdin', 'utf-8'))