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>
int main()
{
    int a,b,x,c,d;

    do{
        scanf("%d",&x);
    }while(x<1 || x>1000);

    do{
        scanf("%d",&a);
    }while(a<1 || a>1000);

    do{
        scanf("%d",&b);
    }while(b<1 && b>1000);

    if(x<a) c=a-x;
    else c=x-a;

    if(x<b) d=b-x;
    else d=x-b;

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