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 Ruby (2.3.3) (judge verdict: Accepted)

# @param [Number] x
# @param [Number] a
# @param [Number] b
def solve(x, a, b)
  d1 = (x-a).abs
  d2 = (x-b).abs
  return d1 < d2 ? 'A' : 'B'
end

unless ENV['SKIP_IO'] == '1'
  x, a, b = gets.split.map(&:to_i)
  puts solve x, a, b
end