# The Volleyball Game

You have been hired as a consultant by PO-Volley (the
Pathetic Organization for Volleyball) to keep track of the
score in a game between the two teams *the Algorithmics*
and *the Beaver Boys*.

Volleyball is played in best of three sets, i.e. the team that first wins two sets wins the game. The first two sets are played until 25 points. If a third set needs to be played, it is played until 15 points. You also have to win with 2 points, so it is the team that first gets more than 25 (or 15 points in the third set) and also have at least 2 more points than the opponents that wins the set. Given a list of what team won every ball, print the result of the game.

## Input

The first line contains an integer $N$ ($1
\le N \le 200$). The next line contains a string with
$N$ characters “`A`” and “`B`”, where the
$i$’th letter is
“`A`” if the Algorithmics won the
$i$’th ball and
“`B`” if the Beaver Boys won the
$i$’th ball.

## Output

Print a line containing two integers. The first integer should be the number of sets the Algorithmics won, and the second the number of sets that the Beaver Boys won.

## Scoring

Your solution will be tested on a number of test groups. To get the points for a test group, your solution needs to pass all the test cases in the group.

Group |
Points |
Limits |

1 |
42 |
All sets are won on exactly $25$, $25$ and $15$ points respectively, i.e. the score will never be $24$-$24$ in the first two sets or $14$-$14$ in the last set. |

2 |
58 |
No further constraints. |

## Explanation of sample

In the forst sample, team A wins the first set with $25-0$, team B the second set with $0-25$ and team A the deciding set with $15-0$. The result of the match is thus $2-1$ in sets.

Team B won both the first and second set with $25-27$, and the result of the game is
$0-2$

Note that only sample 1 can appear in the test group 1.

Sample Input 1 | Sample Output 1 |
---|---|

65 AAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBAAAAAAAAAAAAAAA |
2 1 |

Sample Input 2 | Sample Output 2 |
---|---|

104 BABABABABABABABABABABABABABABABABABABABABABABABABABBBABABABABABABABABABABABABABABABABABABABABABABABABABB |
0 2 |