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								src/Day10.hs
									
									
									
									
									
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								src/Day10.hs
									
									
									
									
									
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module Main where
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import Data.Char (digitToInt)
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import qualified Data.Map as M
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import qualified Data.Set as S
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type Coord = (Int, Int)
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type Grid = M.Map (Int, Int) Int
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data Dir = North | South | East | West deriving (Show)
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next :: Coord -> Dir -> Coord
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next (x, y) North = (x, y - 1)
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next (x, y) South = (x, y + 1)
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next (x, y) East = (x + 1, y)
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next (x, y) West = (x - 1, y)
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part1 :: Grid -> Int
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part1 grid = sum . map (S.size . go 0 S.empty) . M.keys . M.filter (== 0) $ grid
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  where
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    go :: Int -> S.Set Coord -> Coord -> S.Set Coord
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    go h s c
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      | h == 9 = S.insert c s
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      | otherwise =
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          S.unions
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            [ go h' s n
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              | d <- [North, South, East, West],
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                let n = next c d,
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                Just h' <- [M.lookup n grid],
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                h' == h + 1
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            ]
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part2 :: Grid -> Int
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part2 grid = sum . map (go 0) . M.keys . M.filter (== 0) $ grid
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  where
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    go :: Int -> Coord -> Int
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    go h c
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      | h == 9 = 1
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      | otherwise =
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          sum
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            [ go h' n
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              | d <- [North, South, East, West],
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                let n = next c d,
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                Just h' <- [M.lookup n grid],
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                h' == h + 1
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            ]
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main :: IO ()
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main =
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  do
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    raw <- lines <$> readFile "./inputs/day10.in"
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    let grid =
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          M.fromList
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            [ ((x, y), digitToInt ch)
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              | (y, row) <- zip [0 ..] raw,
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                (x, ch) <- zip [0 ..] row
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            ]
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    putStr "Part 1: " >> print (part1 grid)
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    putStr "Part 2: " >> print (part2 grid)
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