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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <cstdio>  
using namespace std;  
int main() { 	
	int a,b,c,d,e; 	
	scanf("%d %d %d", &a, &b, &c); 	
	if(b-a>0){
		d=a-b;
	}
	if(b-a>0){
		d=b-a;
	}
	if(a-c>0){
	
		e=c-a;
	}
	if(a-c>0){
		e=c-a;
	}
	if(e>d){
		printf("B");
	}
	else{
		printf("A");
	}
}