Problem J1: Winning Score

Problem DescriptionCopy Anchor Link

You record 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 SpecificationCopy Anchor Link

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 SpecificationCopy Anchor Link

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.

Sample Input 1Copy Anchor Link

10
3
7
8
9
6

Output for Sample Input 1Copy Anchor Link

B

Explanation of Output for Sample Input 1Copy Anchor Link

The Apples scored $10\cdot 3+3\cdot 2+7\cdot 1=43$ points and the Bananas scored $8\cdot 3+9\cdot 2+6\cdot 1=48$ points, and thus the Bananas won.

Input for Sample Input 2Copy Anchor Link

7
3
0
6
4
1

Output for Sample Input 2Copy Anchor Link

T

Explanation of Output for Sample Input 2Copy Anchor Link

The Apples scored $7\cdot 3+3\cdot 2+0\cdot 1 = 27$ points and the Bananas scored $6\cdot 3+4\cdot 2+1\cdot 1=27$ points, and thus it was a tie game.