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 9.2.1) (judge verdict: Accepted)

#include <stdio.h>

int main() {
	
	int x, A, B, sum1, sum2;
	scanf("%d %d %d", &x, &A, &B);
	sum1 = x - A;
	sum2 = x - B;
	
	if(sum1 < 0){
		sum1 *= -1;
	}
	else{
		sum1 *= 1;
	}
	
	if(sum2 < 0){
		sum2 *= -1;
	}
	else{
		sum2 *= 1;
	}
	
	if(sum1 > sum2){
		printf("B");	
	}
	else{
		printf("A");
	}
	
	return 0;
}