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.

5 2 7

B

The distances between Snuke's residence and stores $A$ and $B$ are $3$ and $2$, respectively. Since store $B$ is closer, print B.

1 999 1000

A