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import Text.Parsec.String (Parser)
import Text.Parsec
import System.Environment
import Data.List
import Data.Function
import Data.Maybe
import qualified Data.Map as M
import Control.Monad
data Color = Red | Green | Blue deriving (Show,Eq,Ord)
type Set = M.Map Color Int
type Game = (Int, [Set])
red = string "red" *> pure Red
green = string "green" *> pure Green
blue = string "blue" *> pure Blue
color = red <|> green <|> blue
handful = liftM2 (flip (,)) (space *> (read <$> many1 digit)) (space *> color)
set = M.fromList <$> (sepBy handful $ string ",")
game = liftM2 (,) (string "Game " *> (read <$> many1 digit)) (string ":" *> sepBy set (string ";"))
games = sepBy game newline
solution :: Game -> Int
solution = product . M.elems . M.unionsWith max . snd
main = liftM2 (>>=) readFile (((print . sum . map solution . either (error.show) id) .) . parse games) =<< head <$> getArgs
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