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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"fmt"
)

func abs(n int) int {
	if n < 0 {
		return -n
	}
	return n
}

func main() {
	var x, a, b int
	fmt.Scan(&x, &a, &b)

	xa := abs(x-a)
	xb := abs(x-b)

	if xa > xb {
		fmt.Println("B")
	} else {
		fmt.Println("A")
	}
}