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