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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

class Main {

    public static void main(String[] args) throws Exception {

        try {

            BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

            String[] inputString = br.readLine().split(" ");

            int locationX = Integer.parseInt(inputString[0]);
            int locationOfRestaurantA = Integer.parseInt(inputString[1]);
            int locationOfRestaurantB = Integer.parseInt(inputString[2]);

            int distanceAtoX = getDistanceXtoRestaurant(locationX, locationOfRestaurantA);
            int distanceBtoX = getDistanceXtoRestaurant(locationX, locationOfRestaurantB);

            String closerRestaurantIs = distanceAtoX >= distanceBtoX ? "B" : "A";

            System.out.println(closerRestaurantIs);

        } catch (IOException | NumberFormatException e) {
            e.printStackTrace();
            System.exit(0);
        } catch (final Exception e) {
            e.printStackTrace();
            System.exit(0);
        }
    }

    private static int getDistanceXtoRestaurant(int locationX, int locationOfRestaurant) {
        return locationX >= locationOfRestaurant ? locationX - locationOfRestaurant : locationOfRestaurant - locationX;
    }
}