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 Java7 (OpenJDK 1.7.0) (judge verdict: Accepted)

import java.util.*;

public class Main {
    public static void main(String[] args) throws Exception {
        
        Scanner scan = new Scanner(System.in);
        
        int suri = scan.nextInt();
        int miseA = scan.nextInt();
        int miseB = scan.nextInt();
        
        int ans1 = miseA - suri;
        int ans2 = miseB - suri;
        
        if (ans1 < 0 && ans2 < 0){
            ans1 = ans1 * -1;
            ans2 = ans2 * -1;
        }else if (ans1 < 0){
            ans1 = ans1 * -1;
        }else if (ans2 < 0){
            ans2 = ans2 * -1;
        }
        
        if (ans1 > ans2){
            System.out.println("B");
        }else{
            System.out.println("A");
        }
        
    }
}