2020-16 part 2 in haskell
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11
2020/16-Ticket_Translation/example2
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2020/16-Ticket_Translation/example2
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departure class: 0-1 or 4-19
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departure row: 0-5 or 8-19
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seat: 0-13 or 16-19
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your ticket:
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11,12,13
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nearby tickets:
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3,9,18
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15,1,5
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5,14,9
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113
2020/16-Ticket_Translation/second.hs
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2020/16-Ticket_Translation/second.hs
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-- requires cabal install --lib megaparsec parser-combinators
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module Main (main) where
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import Control.Monad (void, when)
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import Data.List (foldl', isPrefixOf, transpose)
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import Data.Map qualified as M
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import Data.Void (Void)
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import Text.Megaparsec
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import Text.Megaparsec.Char
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import System.Exit (die)
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exampleExpectedOutput = 132
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data Range = Range { field :: String
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, ll :: Int
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, lh :: Int
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, hl :: Int
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, hh :: Int
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} deriving (Show)
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type Ticket = [Int]
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data Input = Input { ranges :: [Range]
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, myTicket :: Ticket
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, nearbyTickets :: [Ticket]
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} deriving (Show)
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type Parser = Parsec Void String
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parseInt :: Parser Int
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parseInt = do
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n <- some digitChar
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void $ optional (char ',')
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return $ read n
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parseRange :: Parser Range
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parseRange = do
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f <- some (letterChar <|> char ' ')
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void $ string ": "
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ll <- parseInt
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void $ char '-'
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lh <- parseInt
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void $ string " or "
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hl <- parseInt
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void $ char '-'
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hh <- parseInt
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void $ char '\n'
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return $ Range f ll lh hl hh
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parseTicket :: Parser Ticket
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parseTicket = some parseInt <* char '\n'
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parseInput' :: Parser Input
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parseInput' = do
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r <- some parseRange
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void $ string "\nyour ticket:\n"
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t <- parseTicket
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void $ string "\nnearby tickets:\n"
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nts <- some parseTicket
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void eof
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return $ Input r t nts
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parseInput :: String -> IO Input
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parseInput filename = do
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input <- readFile filename
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case runParser parseInput' filename input of
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Left bundle -> die $ errorBundlePretty bundle
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Right ops -> return ops
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filterInvalid :: Input -> Input
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filterInvalid (Input ranges ticket nearbyTickets) = Input ranges ticket (foldl' compute' [] nearbyTickets)
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where
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compute' :: [Ticket] -> Ticket -> [Ticket]
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compute' acc nt
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| and $ map isValid nt = nt : acc
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| otherwise = acc
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isValid :: Int -> Bool
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isValid n = or $ map (isValid' n) ranges
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isValid' :: Int -> Range -> Bool
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isValid' n (Range{ll, lh, hl, hh}) = (n >= ll && n <= lh) || (n >= hl && n <= hh)
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compute' :: Input -> Int
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compute' Input{ranges, myTicket, nearbyTickets} = product . map (myTicket !!) . map snd . filter importantRange . snd $ iterate (potentialFieldIDsByRange, [])
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where
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importantRange :: (Range, Int) -> Bool
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importantRange (Range{field}, _) = isPrefixOf "departure" field
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nearbyTicketsByField = transpose nearbyTickets
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iterate :: ([(Range, [Int])], [(Range, Int)]) -> ([(Range, [Int])], [(Range, Int)])
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iterate ([], res) = ([], res)
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iterate ((r, [i]):ps, res) = iterate (map (removeID i) ps, (r, i):res)
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iterate (p:ps, res) = iterate (ps ++ [p], res)
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removeID :: Int -> (Range, [Int]) -> (Range, [Int])
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removeID i (r, l) = (r, filter (/= i) l)
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potentialFieldIDsByRange :: [(Range, [Int])]
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potentialFieldIDsByRange = zip ranges $ map (getMatchingFieldIDs myTicket nearbyTicketsByField) ranges
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getMatchingFieldIDs :: Ticket -> [Ticket] -> Range -> [Int]
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getMatchingFieldIDs [] [] _ = []
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getMatchingFieldIDs (_:ts) (fields:fieldss) range
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| and (map (match range) fields) = myId : getMatchingFieldIDs ts fieldss range
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| otherwise = getMatchingFieldIDs ts fieldss range
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where
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myId :: Int
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myId = (length myTicket) - (length ts) - 1
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match :: Range -> Int -> Bool
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match Range{ll, lh, hl, hh} n = (n >= ll && n <= lh) || (n >= hl && n <= hh)
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compute :: Input -> Int
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compute input = compute' $ filterInvalid input
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main :: IO ()
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main = do
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example <- parseInput "example2"
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let exampleOutput = compute example
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when (exampleOutput /= exampleExpectedOutput) (die $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show exampleExpectedOutput)
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input <- parseInput "input"
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print $ compute input
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