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 JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

function GetDistance(between){
  if (between < 0){
  	between = between*-1;
    return between
  }
  return between
}

function main(input) {

  	var BasePoint = input[0];
  	var Apoint = input[1];
  	var Bpoint = input[2];
  
  	AbetweenBase = Apoint - BasePoint;
  	//AbetweenBase = GetDistance(AbetweenBase);
  
  	BbetweenBase = Bpoint - BasePoint;
  	//BbetweenBase = GetDistance(BbetweenBase);
  
  	if (Math.abs(AbetweenBase) > Math.abs(BbetweenBase)){
     	console.log("B"); 
    } else {
      	console.log("A");
    } 
  	
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));