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)

#define _USE_MATH_DEFINES
#include  <iostream>
#include  <algorithm>
#include  <climits>
#include  <vector>
#include  <string>
#include  <cstring>
#include  <stack>
#include  <queue>
#include  <cmath>
#include  <iomanip>
#include  <set>
#include  <map>
#include  <new>
#include <cstdint>
#include <cctype>
using namespace std;
#define rep(i,n)  for(int i = 0; i < n; i++)
#define lrep(i,n,m)  for(int i = n; i < m; i++)

using ll = long long;
using Vii = vector<vector<int> >;
using Gjudge = vector<vector<bool>>;
using Vi = vector<int>;
using Vl = vector<ll>;
using Vll = vector<vector<ll> >;
using Vs = vector<string>;
using Vb = vector<bool>;
using the = pair<int, int>;
using lthe = pair<ll, ll>;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

const int Mod = static_cast<int>(1e9 + 7);
const int INF = INT_MAX;
const int dx[4] = { 1,0,-1,0 };
const int dy[4] = { 0,1,0,-1 };


priority_queue<the> p[200000];
const int MAXP = 2 * 1e5;

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