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 (1.14.1) (judge verdict: Accepted)

package main

import (
  "fmt"
  "math"
)

func main() {
  var x, a, b int
  fmt.Scanf("%d %d %d", &x, &a, &b)
  
  da := math.Abs(float64(x - a))
  db := math.Abs(float64(x - b))

  ans := "A"
  if db < da {
    ans ="B"
  }
  fmt.Printf("%s\n", ans)
}