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)
• 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.

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 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.

Explanation

Example 1: Input:

GR A B
OB BG AO O
R G

Explanation:

• Player 1's tosses go through the green & red overlap (GR), aqua (A), and black (B) rings.
  • GR score = 3 (Green) + 1 (Red) + 1 (Bonus) = 5
  • A score = 1
  • B score = 6
  • Total = 5 + 1 + 6 = 12.
• Player 2 has a score of (3+6+1) + (6+3+1) + (1+3+1) + 3 = 28.
  • OB = 10, BG = 10, AO = 5, O = 3. Total = 28.
• Player 3 has a score of 1 + 3 = 4.
  • R = 1, G = 3. Total = 4.

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

GR A B
OB BG AO O
R G

28 12 4

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

14 14 10

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

46 44 44

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

54 46 28

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

52 50 40

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

48 47 40