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 Python (3.4.3) (judge verdict: Wrong Answer)

import math
#x a bを設定する
x,a,b = map(int,input().split())
#x からaまでの距離とxからbまでの距離を計算する
if a < 0:
    a = a*(-1)
if b < 0:
    b = b*(-1)
a_distant = a - x
b_distant = b - x
#aまでとbまでを比較して短い方を出力する
if a_distant > b_distant:
    print("B")
else:
    print("A")