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: Wrong Answer)

#include <iostream>
#include <vector>
#include <limits>
#include <boost/range/irange.hpp>
#include <boost/range/adaptors.hpp>
#include <cstdlib>

using namespace std;
using namespace boost;
using uint = unsigned int;
using ll = long long int;
using ull = unsigned long long int;

int main() {
    uint x, a, b;
    cin >> x >> a >> b;
    if (abs(x - a) < abs(x - b)) {
        cout << "A";
    } else {
        cout << "B";
    }
    return 0;
}