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-rw-r--r-- | 2019/20.hs | 72 | ||||
-rw-r--r-- | 2019/20.in | 133 |
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diff --git a/2019/20.hs b/2019/20.hs new file mode 100644 index 0000000..8deb4e8 --- /dev/null +++ b/2019/20.hs @@ -0,0 +1,72 @@ +{-# LANGUAGE MultiWayIf, TupleSections, ScopedTypeVariables #-} +module Main where + +import qualified Data.Array as A +import Data.Char +import Data.List +import qualified Data.Map.Strict as Map +import Data.Maybe +import qualified Data.Set as Set + +import Input + + +shortestPath :: forall node. Ord node => (node -> [node]) -> (node -> Int) -> node -> node -> Int +shortestPath nextf heuristic startnode target = go 0 (Set.singleton (heuristic startnode, 0, startnode)) Map.empty + where + go :: Int -> Set.Set (Int, Int, node) -> Map.Map node Int -> Int + go ctr pqueue visited = + let ((_, dist, node), newpqueue) = Set.deleteFindMin pqueue + isBetter n = maybe True (> dist + 1) (Map.lookup n visited) + nexts = filter isBetter (nextf node) + pqueue' = newpqueue <> Set.fromList [(dist + 1 + heuristic n, dist + 1, n) | n <- nexts] + visited' = Map.insert node dist visited + in if node == target + then dist + else go (ctr + 1) pqueue' visited' + +main :: IO () +main = do + input <- getInput 20 + let h = length input + w = length (head input) + bd = A.array ((0, 0), (w - 1, h - 1)) + [((x, y), c) | (y, row) <- zip [0..] input, (x, c) <- zip [0..] row] + bdget x y | 0 <= x, x < w, 0 <= y, y < h = bd A.! (x, y) + | otherwise = ' ' + labels = [(name, loc) + | y <- [0..h-1] + , x <- [0..w-1] + , let c1 = bd A.! (x, y) + , isUpper c1 + , (c2, locpts) <- filter (isUpper . fst) + [(bdget x (y+1), [(x, y-1), (x, y+2)]) + ,(bdget (x+1) y, [(x-1, y), (x+2, y)])] + , let name = [c1, c2] + , loc <- filter ((== '.') . uncurry bdget) locpts] + + label2pos = Map.fromListWith (++) (map (fmap pure) labels) + pos2label = Map.fromList (map (\(x, y) -> (y, x)) labels) + pos2other = Map.fromList [(pos, other) + | (pos, lab) <- Map.assocs pos2label + , let poses = label2pos Map.! lab + , other <- poses \\ [pos]] + isOuter (x, y) = x == 2 || y == 2 || x == w - 3 || y == h - 3 + donutWidth = minimum (map fst (filter (not . isOuter) (Map.keys pos2label))) - 3 + + let mazeNexts (x, y) = + maybeToList (Map.lookup (x, y) pos2other) + ++ [(x', y') + | (dx, dy) <- [(-1,0), (0,-1), (1,0), (0,1)] + , let (x', y') = (x + dx, y + dy) + , bdget x' y' == '.'] + print $ shortestPath mazeNexts (const 0) (head $ label2pos Map.! "AA") (head $ label2pos Map.! "ZZ") + + let mazeNexts2 (lvl, (x, y)) = + [(lvl', other) | other <- maybeToList (Map.lookup (x, y) pos2other) + , let lvl' = lvl + (if isOuter other then 1 else -1) + , lvl' >= 0] + ++ [(lvl, (x', y')) | (dx, dy) <- [(-1,0), (0,-1), (1,0), (0,1)] + , let (x', y') = (x + dx, y + dy) + , bdget x' y' == '.'] + print $ shortestPath mazeNexts2 (\(lvl, _) -> donutWidth * lvl) (0, head $ label2pos Map.! "AA") (0, head $ label2pos Map.! 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