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 C (GCC 5.4.1) (judge verdict: Accepted)

#include<stdio.h>
main()
{
int x,a,b,c,d;

x: scanf("%d%d%d",&x,&a,&b);
if(x<1||x>1000||a<1||a>1000||b<1||b>1000){
goto x;}

if(x-a>0){c=x-a;}
else{c=a-x;}

if(x-b>0){d=x-b;}
else{d=b-x;}

if(c<d){printf("A");}
else{printf("B");}
}