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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<iostream>	// 入出力
#include<stdio.h>	// printf()が使える 小数は%fで
#include<math.h>	// 数学の関数
#include<vector>	// 配列
#include<string>	// 文字列
#include<map>		// 連想配列
#include<stack>		// スタック
#include<queue>		// キュー
#include<algorithm> // ソートとか

using namespace std;

using ll = long long;


int main()
{
	int x, a, b;

	cin >> x >> a >> b;

	int s = abs(x - a), t = abs(x - b);
	
	cout << ((s < t) ? "A" : "B") << endl;

	return 0;
}