--- /dev/null
+import Debug.Trace
+
+-- import qualified Data.Text.IO as TIO
+
+import qualified Data.Map.Strict as M
+import Data.Map.Strict ((!))
+import qualified Data.PQueue.Prio.Min as P
+import qualified Data.Set as S
+import qualified Data.Sequence as Q
+import Data.Sequence ((<|), (|>), (><))
+import Data.Foldable (toList, foldr', foldl', all)
+import Data.Maybe (fromJust)
+import Data.List
+import Data.Char
+import Control.Monad.Reader
+
+
+type Position = (Integer, Integer) -- r, c
+
+type Keys = S.Set Char
+type PointOfInterest = M.Map Position Char
+
+
+data Explorer = Explorer { _position :: Position
+ , _keysHeld :: Keys
+ } deriving (Eq, Ord, Show)
+type ExploredStates = S.Set Explorer
+
+type Cave = S.Set Position
+data CaveComplex = CaveComplex { _cave :: Cave
+ , _keys :: PointOfInterest
+ , _doors :: PointOfInterest
+ } deriving (Eq, Ord, Show)
+type CaveContext = Reader CaveComplex
+
+data Agendum = Agendum { _current :: Explorer
+ , _trail :: Q.Seq Explorer
+ , _cost :: Int} deriving (Show, Eq)
+type Agenda = P.MinPQueue Int Agendum
+type Candidates = S.Set (Int, Agendum)
+
+
+
+
+main :: IO ()
+main = do
+ text <- readFile "data/advent18.txt"
+ let (cc, explorer) = buildCaveComplex text
+ -- print cc
+ -- print explorer
+ print $ part1 cc explorer
+
+part1 :: CaveComplex -> Explorer -> Int
+part1 cave explorer = maybe 0 (( + 1) . _cost ) result
+ where result = runReader (searchCave explorer) cave
+
+-- -- part1 :: CaveComplex -> Explorer -> Maybe Agendum
+-- part1 cave explorer = keySeq (fromJust result)
+-- where result = runReader (searchCave explorer) cave
+
+
+keySeq :: Agendum -> Q.Seq Keys
+keySeq agendum = Q.filter (not . S.null) kdiff
+ where keyss = fmap _keysHeld $ _trail agendum
+ kdiff = fmap (uncurry S.difference) $ Q.zip ((_keysHeld $ _current agendum) <| keyss) keyss
+
+
+searchCave :: Explorer -> CaveContext (Maybe Agendum)
+searchCave explorer =
+ do agenda <- initAgenda explorer
+ aStar agenda S.empty
+
+
+buildCaveComplex text = foldl' buildCaveRow (cc0, explorer0) $ zip [0..] rows
+ where cc0 = CaveComplex {_cave = S.empty, _keys = M.empty, _doors = M.empty}
+ explorer0 = Explorer { _position = (0, 0), _keysHeld = S.empty }
+ rows = lines text
+
+buildCaveRow (cc, explorer) (r, row) = foldl' (buildCaveCell r) (cc, explorer) $ zip [0..] row
+
+buildCaveCell r (cc, explorer) (c, char)
+ | char == '.' = (cc', explorer)
+ | char == '@' = (cc', explorer { _position = here })
+ | isLower char = (cc' { _keys = M.insert here char $ _keys cc'}, explorer)
+ | isUpper char = (cc' { _doors = M.insert here char $ _doors cc'}, explorer)
+ | otherwise = (cc, explorer)
+ where cc' = cc { _cave = S.insert here $ _cave cc }
+ here = (r, c)
+
+
+
+
+initAgenda :: Explorer -> CaveContext Agenda
+initAgenda explorer =
+ do cost <- estimateCost explorer
+ return $ P.singleton cost Agendum { _current = explorer, _trail = Q.empty, _cost = cost}
+
+
+aStar :: Agenda -> ExploredStates -> CaveContext (Maybe Agendum)
+-- aStar [] _ = Agendum {current=buildingTest, trail=[], cost=0}
+aStar agenda closed
+ -- | trace ("Peeping " ++ (show $ fst $ P.findMin agenda) ++ ": " ++ (show reached) ++ " <- " ++ (show $ toList $ Q.take 1 $ _trail $ currentAgendum) ++ " :: " ++ (show newAgenda)) False = undefined
+ -- | trace ("Peeping " ++ (show $ _current $ snd $ P.findMin agenda) ) False = undefined
+ | P.null agenda = return Nothing
+ | otherwise =
+ do let (_, currentAgendum) = P.findMin agenda
+ let reached = _current currentAgendum
+ nexts <- candidates currentAgendum closed
+ let newAgenda = foldl' (\q a -> P.insert (_cost a) a q) (P.deleteMin agenda) nexts
+ reachedGoal <- isGoal reached
+ if reachedGoal
+ then return (Just currentAgendum)
+ else if reached `S.member` closed
+ then aStar (P.deleteMin agenda) closed
+ else aStar newAgenda (S.insert reached closed)
+
+
+isGoal :: Explorer -> CaveContext Bool
+isGoal explorer =
+ do keys <- asks (S.fromList . M.elems . _keys)
+ return $ keys == _keysHeld explorer
+
+
+candidates :: Agendum -> ExploredStates -> CaveContext (Q.Seq Agendum)
+candidates agendum closed =
+ do let candidate = _current agendum
+ let previous = _trail agendum
+ succs <- successors candidate
+ let nonloops = Q.filter (\s -> not $ s `S.member` closed) succs
+ mapM (makeAgendum candidate previous) nonloops
+
+makeAgendum :: Explorer -> (Q.Seq Explorer) -> Explorer -> CaveContext Agendum
+makeAgendum candidate previous new =
+ do cost <- estimateCost new
+ return Agendum { _current = new
+ , _trail = candidate <| previous
+ , _cost = cost + (Q.length previous)
+ }
+
+successors :: Explorer -> CaveContext (Q.Seq Explorer)
+successors explorer =
+ do let here = _position explorer
+ let locations0 = possibleNeighbours here
+ cave <- asks _cave
+ keys <- asks _keys
+ doors <- asks _doors
+ let keysHeld = _keysHeld explorer
+ let locations1 = Q.filter (`S.member` cave) locations0
+ let locations2 = Q.filter (hasKeyFor doors keysHeld) locations1
+ return $ fmap (\l -> explorer { _position = l, _keysHeld = pickupKey keys keysHeld l}) locations2
+
+
+hasKeyFor :: PointOfInterest -> Keys -> Position -> Bool
+-- hasKeyFor doors keys here | trace ("hkf: " ++ (intercalate " " [show doors, show keys, show here, show (maybe True (`S.member` keys) $ M.lookup here doors)])) False = undefined
+hasKeyFor doors keys here = maybe True keyForDoor $ M.lookup here doors
+ where keyForDoor d = (toLower d) `S.member` keys
+ -- if location `M.member` doors
+ -- then (doors!location) `S.elem` keys
+ -- else True
+
+
+pickupKey :: PointOfInterest -> Keys -> Position -> Keys
+pickupKey keys held here = maybe held (`S.insert` held) $ M.lookup here keys
+ -- if here `M.member` keys
+ -- then S.insert (keys!here) held
+ -- else held
+
+
+estimateCost :: Explorer -> CaveContext Int
+estimateCost explorer = -- return 0
+ do keys <- asks _keys
+ let (r, c) = _position explorer
+ let unfoundKeys = M.filter (`S.notMember` (_keysHeld explorer)) keys
+ let minR = minimum $ map fst $ M.keys unfoundKeys
+ let minC = minimum $ map snd $ M.keys unfoundKeys
+ let maxR = maximum $ map fst $ M.keys unfoundKeys
+ let maxC = maximum $ map snd $ M.keys unfoundKeys
+ let spanR = spanV r minR maxR
+ let spanC = spanV c minC maxC
+ if M.null unfoundKeys
+ then return 0
+ else return $ fromIntegral (spanR + spanC)
+ -- return $ sum $ map (manhattan here) $ M.keys unfoundKeys
+
+spanV this minV maxV
+ | this < minV = maxV - this
+ | this > maxV = this - minV
+ -- | this > minV && this < maxV = (this - minV) + (maxV - this)
+ | otherwise = (this - minV) + (maxV - this)
+
+manhattan :: Position -> Position -> Int
+manhattan (r1, c1) (r2, c2) = fromIntegral $ abs (r1 - r2) + abs (c1 - c2)
+
+possibleNeighbours :: Position -> Q.Seq Position
+possibleNeighbours (r, c) = [(r + 1, c), (r - 1, c), (r, c + 1), (r, c - 1)]
--- /dev/null
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