Day 18: Lavaduct Lagoon

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FAQ

  • Leo Uino
    link
    16 months ago

    Haskell

    Wasn’t able to start on time today, but this was a fun one! Got to apply the two theorems I learned from somebody else’s solution to Day 10.

    Solution
    import Data.Char
    import Data.List
    
    readInput :: String -> (Char, Int, String)
    readInput s =
      let [d, n, c] = words s
       in (head d, read n, drop 2 $ init c)
    
    boundary :: [(Char, Int)] -> [(Int, Int)]
    boundary = scanl' step (0, 0)
      where
        step (x, y) (d, n) =
          let (dx, dy) = case d of
                'U' -> (0, 1)
                'D' -> (0, -1)
                'L' -> (-1, 0)
                'R' -> (1, 0)
           in (x + n * dx, y + n * dy)
    
    area :: [(Char, Int)] -> Int
    area steps =
      let a = -- shoelace formula
            (abs . (`quot` 2) . sum)
              . (zipWith (\(x, y) (x', y') -> x * y' - x' * y) <*> tail)
              $ boundary steps
       in a + 1 + sum (map snd steps) `quot` 2 -- Pick's theorem
    
    part1, part2 :: [(Char, Int, String)] -> Int
    part1 = area . map (\(d, n, _) -> (d, n))
    part2 = area . map (\(_, _, c) -> decode c)
      where
        decode s = ("RDLU" !! digitToInt (last s), read $ "0x" ++ init s)
    
    main = do
      input <- map readInput . lines <$> readFile "input18"
      print $ part1 input
      print $ part2 input