Winning Score

Interview

Time limit1sMemory limit512 MB

Summary

Given the counts of 3-point shots, 2-point field goals, and free throws for two teams, compute each team's total and report which team won or if the game tied.

Level: Easy2 of 10
Topics: Math, Implementation
Solved: No attempts yet

Problem

You recorded all of the scoring activity at a basketball game. Points are scored by a 3-point shot, a 2-point field goal, or a 1-point free throw.

You know the number of each of these types of scoring for the two teams, the Apples and the Bananas. Your job is to determine which team won, or if the game ended in a tie.

Input

The first three lines of input describe the scoring of the Apples, and the next three lines of input describe the scoring of the Bananas. For each team, the first line contains the number of successful 3-point shots, the second line contains the number of successful 2-point field goals, and the third line contains the number of successful 1-point free throws. Each number will be an integer between 0 and 100, inclusive.

Output

The output will be a single character. If the Apples scored more points than the Bananas, output 'A'. If the Bananas scored more points than the Apples, output 'B'. Otherwise, output 'T', to indicate a tie.

Examples2

Example 1
Input
```
10
3
7
8
9
6
```
Expected output
```
B
```
Example 2
Input
```
7
3
0
6
4
1
```
Expected output
```
T
```