day 18
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18/solution.hs
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98
18/solution.hs
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import Data.List
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import Data.Array
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import Data.Graph
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import Data.Maybe
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import Debug.Trace
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traceOut :: Show a => a -> a
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traceOut x = (traceShow x x)
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addFirst :: [[a]] -> a -> [[a]]
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addFirst [] x = [[x]]
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addFirst (y:ys) x = ([x] ++ y) : ys
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split :: [Char] -> String -> [String]
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split _ [] = []
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split delims (x:xs)
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| elem x delims = [[]] ++ split delims xs
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| otherwise = addFirst (split delims xs) x
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-- x——>
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-- y
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-- |
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-- v
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data Square = Wall | Square {visited :: Bool, distance :: Maybe Int, start :: Bool, end :: Bool}
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instance Show Square where
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show x = case x of
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Wall -> "#"
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Square {start=True} -> "S"
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Square {end=True} -> "E"
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Square {visited=True} -> "."
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Square _ _ _ _ -> " "
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--partial!
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splitInput :: String -> [(Int, Int)]
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splitInput = map ((\(a:b:_) -> (a, b)) . map read . split ",") . split "\n"
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buildArray :: [(Int, Int)] -> (Array (Int, Int) Square)
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buildArray xs = listArray ((0, 0), (70, 70)) (repeat (Square False Nothing False False)) // [((0, 0), (Square False (Just 0) True False)), ((70, 70), (Square False Nothing False True))] // (map (\x -> (x, Wall)) xs)
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inBounds :: ((Int, Int), (Int, Int)) -> (Int, Int) -> Bool
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inBounds ((a, b), (c, d)) (x, y) = (a <= x && x <= c && b <= y && y <= d)
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neighbours :: (Array (Int, Int) a) -> (Int, Int) -> [(Int, Int)]
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neighbours arr (x, y) = filter (inBounds (bounds arr)) [(x+1, y), (x, y+1), (x-1, y), (x, y-1)]
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buildGraph :: (Array (Int, Int) Square) -> (Graph, (Vertex -> ((Int, Int), (Int, Int), [(Int, Int)])), ((Int, Int) -> Maybe Vertex))
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buildGraph arr = graphFromEdges $ map (\x -> let (coords, value) = x in case value of
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Wall -> (coords, coords, [])
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Square {} -> (coords, coords, (filter (\x -> case (arr!x) of
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Wall -> False
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Square {} -> True) $ neighbours arr coords))) (assocs arr)
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doUpdate :: (Array (Int, Int) Square) -> [((Int, Int), Square)] -> (Array (Int, Int) Square)
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doUpdate arr [] = arr
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doUpdate arr ((update@(pos, square)):updates) = case distance (arr!pos) of
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Nothing -> doUpdate (arr // [update]) updates
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Just x -> case compare x (fromJust $ distance square) of
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EQ -> doUpdate arr updates
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GT -> doUpdate (arr // [update]) updates
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LT -> doUpdate arr updates
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dijkstra :: (Array (Int, Int) Square) -> [(Int, Int)] -> (Array (Int, Int) Square)
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dijkstra arr buffer = if buffer == [] then arr else dijkstra (doUpdate arr updates) (nub $ map (\(x,_) -> x) updates)
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where updates = concat $ map (\x -> concat $ map (\coords -> case (arr!coords) of
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Wall -> []
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Square {visited=True} -> []
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y@(Square {}) -> [(coords, y {visited=True, distance=Just ((fromJust $ distance (arr!x)) + 1)})]) (neighbours arr x)) buffer
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findStart :: (Array (Int, Int) Square) -> (Int, Int)
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findStart = (\(a, _) -> a) . head . filter (\(_, b) -> case b of
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Wall -> False
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Square {start=s} -> s) . assocs
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findEnd :: (Array (Int, Int) Square) -> (Int, Int)
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findEnd = (\(a, _) -> a) . head . filter (\(_, b) -> case b of
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Wall -> False
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Square {end=e} -> e) . assocs
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--partial!
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solve1 :: (Array (Int, Int) Square) -> Int
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solve1 arr = fromJust $ distance $ ((dijkstra arr [findStart arr])!(findEnd arr))
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solve2 :: [(Int, Int)] -> (Int, Int)
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solve2 blocks = (blocks!!) $ (\x -> x-1) $ head $ filter (\x -> let arr = buildArray $ take x $ blocks in (let (graph, gfunc, gfunc2) = buildGraph arr in not $ path graph (fromJust $ gfunc2 $ findStart arr) (fromJust $ gfunc2 $ findEnd arr))) [0..]
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printGrid :: (Array (Int, Int) Square) -> String
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printGrid arr = concat $ [concat [show (arr!(x, y)) | y <- [0..70]] ++ "\n" | x <- [0..70]]
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main :: IO()
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main = do
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fileinp <- readFile "input.txt"
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let parsed = splitInput fileinp
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let arr = buildArray $ take 1024 $ parsed
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let solved1 = solve1 arr
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let solved2 = solve2 parsed
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print solved1
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print solved2
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