PROBLEM DESCRIPTION

ACSL Rings is a 3-player game where the object is to score points by tossing a ball through at least one of the $5$ rings. Points are awarded as follows:

• Through the aqua or red ring $-1$ point
• Through the orange or green ring $-3$ points
• Through the black ring $-6$ points
• Through the space where $2$ rings overlap - the sum of the points for the $2$ rings plus $1$

We will use a single letter to represent each of the above colors: aqua (A), red (R), orange (O), green (G) and black (B). The overlapping areas will be given by $2$ letters in the order shown: aqua and orange (AO), orange and black (OB), black and green (BG), and green and red (GR).

You will be given $3$ strings representing each player’s results for all tosses that go through at least one ring. The result of each toss will be separated by a single space. Output the $3$ players’ scores in descending order separated by a single space. If any of the players have the same score, it doesn’t matter which one of the tied scores appears first.

INPUT FORMAT

The input will consist of $3$ strings as described above. Each string will be no longer than $100$ characters.

OUTPUT FORMAT

Output the three scores in descending order, each separated by a single space.

SAMPLE

INPUT #1

GR A B
OB BG AO O
R G

OUTPUT #1

28 12 4

INPUT #2

A R O G B
A A B B
R O B

OUTPUT #2

14 14 10

INPUT #3

AO OB B G A B BG GR
R R G G AO AO BG BG B
AO GR A B R G O BG OB

OUTPUT #3

46 44 44

INPUT #4

A A A B B R O O O O
BG BG GR GR O O O A B
BG BG GR GR O O O B B G

OUTPUT #4

54 46 28

INPUT #5

A B B O O G AO OB GR BG
GR GR BG BG OB AO AO
B B B G G G A A A GR AO

OUTPUT #5

52 50 40

INPUT #6

GR BG OB AO A G B
A O B AO GR GR BG O GR AO
O O B G A A GR OB AO BG

OUTPUT #6

48 47 40

EXPLANATION

SAMPLE #1 EXPLANATION

Player 1’s tosses go through the green & red, aqua, and black rings for a score of $(3+1+1) + 1 + 6 = 12$.

Player 2 has a score of $(3+6+1) + (6+3+1) + (1+3+1) + 3 = 28$.

Player 3 has a score of $1 + 3 = 4$.

The output is the string $28$ $12$ $4$, the scores in descending order.