day 16 part 1
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import qualified Data.Map as M
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import qualified Data.Set as S
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import Data.List.Split (splitOn)
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import Debug.Trace (traceShowId, traceShow, trace)
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import Data.Maybe (fromMaybe)
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import Bfs
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import Data.List (maximumBy, permutations, delete)
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import Data.Function (on)
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data Valve = V { flow' :: Int, neighs' :: [String] } deriving Show
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type ZMap = M.Map String Valve
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data NzValve = NV { flow :: Int, dists :: M.Map String Int} deriving Show
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type NzMap = M.Map String NzValve
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parseValve :: String -> (String, Valve)
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parseValve xs = (name, V flow tunnels) where
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name = words xs !! 1
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flow = read $ last $ splitOn "=" (head $ splitOn ";" xs)
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valves = splitOn ", " $ last (splitOn "tunnels lead to valves " xs)
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singleValve = splitOn "tunnel leads to valve " xs
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tunnels = if length singleValve == 1 then valves else [last singleValve]
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search' :: ZMap -> String -> String -> Int
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search' scan from to = dists M.! to where
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dists = bfs f [(from,0)] M.empty
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f x = neighs' (scan M.! x)
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prepass :: ZMap -> NzMap
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prepass xs = M.fromList $ concatMap f $ M.toList xs where
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f (name, v@(V flow _)) = [(name, NV flow (M.fromList $ dists name)) | name == "AA" || flow > 0]
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dists name = map (\target -> (target, search' xs name target)) (filter (/= name) allValves)
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allValves = map fst . filter (\(name, V flow _) -> name == "AA" || flow > 0) $ M.toList xs
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type Memo = M.Map (S.Set String, String, Int) Int
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-- search :: Map -> S.Set String -> String -> Int -> Memo -> (Int, Memo)
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-- search scan active location n memo
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-- | n <= 0 = (0, M.empty)
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-- | otherwise = (releasedPressure + fst best, snd best) where
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-- valve = scan M.! location
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-- openValve = [(S.insert location active, location, n-1) | S.notMember location active && flow valve > 0]
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-- releasedPressure = sum $ map (flow . (scan M.!)) (S.toList active)
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-- nop = [(active, location, n-1) | S.size active == M.size scan]
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-- move = map (\(name, dist) -> (active, name, n-dist)) (dists $ scan M.! location)
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-- actions = openValve ++ move ++ nop
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-- trace x = if n>=15 then traceShow (fst x) x else x
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-- best = trace $ maximumBy (compare `on` fst) $ map (\(a,l,n) -> search scan a l n memo) actions
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-- -- best = maybe best' (\b -> (b,memo)) (M.lookup (active, location, n) memo)
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-- -- best' = foldr f (0, memo) actions where
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-- -- f (a,l, newN) (i,m) = let (result, memo') = search scan a l newN m; b = max i result in
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-- -- trace (b, M.insertWith max (a,l, newN) b $ M.unionWith max m memo')
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perms :: Int -> NzMap -> [[String]]
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perms limit m = perms' "AA" limit elems where
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elems = filter (/= "AA") $ M.keys m
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perms' :: String -> Int -> [String] -> [[String]]
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perms' current remaining [] = [[]]
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perms' current remaining as = do
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a <- as
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let distance = dists (m M.! current) M.! a
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if distance < remaining then do
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let l = delete a as
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ls <- perms' a (remaining-distance) l
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pure $ a:ls
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else pure [a]
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execPerm :: NzMap -> [String] -> Int -> String -> Int -> Int
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execPerm nzmap [] flowrate location remaining = remaining * flowrate
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execPerm nzmap (target:qs) flowrate location remaining
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| remaining < 0 = 0
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| distance >= remaining = remaining * flowrate
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| otherwise = (distance * flowrate) + execPerm nzmap qs flowrate' target (remaining - distance)
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where
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valve = nzmap M.! location
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distance = 1 + dists valve M.! target
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flowrate' = flowrate + flow (nzmap M.! target)
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traceMap :: (Show a, Show b) => (a -> a -> Bool) -> (a -> b) -> [a] -> [b]
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traceMap cond f [] = []
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traceMap cond f [x] = [f x]
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traceMap cond f (x:y:xs)
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| cond x y = let result = f x in traceShow (result, x) (result: traceMap cond f (y:xs))
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| otherwise = f x : traceMap cond f (y:xs)
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main :: IO ()
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main = do
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x <- prepass . M.fromList . map parseValve . lines <$> getContents
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mapM_ print x
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let all = perms 30 x
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let exec p = execPerm x p 0 "AA" 30
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let result = traceMap (\a b -> take 2 a /= take 2 b) exec all
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putStr "part 1: "
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print $ maximum result
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-- print $ fst $ search x S.empty "AA" 30 M.empty
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@ -0,0 +1,56 @@
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Valve JI has flow rate=21; tunnels lead to valves WI, XG
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Valve DM has flow rate=3; tunnels lead to valves JX, NG, AW, BY, PF
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Valve AZ has flow rate=0; tunnels lead to valves FJ, VC
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Valve YQ has flow rate=0; tunnels lead to valves TE, OP
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Valve WI has flow rate=0; tunnels lead to valves JI, VC
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Valve NE has flow rate=0; tunnels lead to valves ZK, AA
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Valve FM has flow rate=0; tunnels lead to valves LC, DU
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Valve QI has flow rate=0; tunnels lead to valves TE, JW
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Valve OY has flow rate=0; tunnels lead to valves XS, VF
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Valve XS has flow rate=18; tunnels lead to valves RR, OY, SV, NQ
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Valve NU has flow rate=0; tunnels lead to valves IZ, BD
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Valve JX has flow rate=0; tunnels lead to valves DM, ZK
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Valve WT has flow rate=23; tunnels lead to valves OV, QJ
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Valve KM has flow rate=0; tunnels lead to valves TE, OL
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Valve NG has flow rate=0; tunnels lead to valves II, DM
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Valve FJ has flow rate=0; tunnels lead to valves AZ, II
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Valve QR has flow rate=0; tunnels lead to valves ZK, KI
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Valve KI has flow rate=9; tunnels lead to valves ZZ, DI, TL, AJ, QR
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Valve ON has flow rate=0; tunnels lead to valves LC, QT
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Valve AW has flow rate=0; tunnels lead to valves DM, AA
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Valve HI has flow rate=0; tunnels lead to valves TE, VC
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Valve XG has flow rate=0; tunnels lead to valves II, JI
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Valve II has flow rate=19; tunnels lead to valves LF, NG, OL, FJ, XG
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Valve VC has flow rate=24; tunnels lead to valves WI, HI, AZ
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Valve VJ has flow rate=0; tunnels lead to valves UG, AA
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Valve IZ has flow rate=0; tunnels lead to valves VF, NU
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Valve EJ has flow rate=0; tunnels lead to valves ZK, LC
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Valve DU has flow rate=12; tunnels lead to valves TC, UG, FM
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Valve ZK has flow rate=10; tunnels lead to valves JX, EJ, JW, QR, NE
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Valve XF has flow rate=25; tunnels lead to valves OP, VT
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Valve LC has flow rate=4; tunnels lead to valves FM, EJ, ON, AJ, PF
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Valve SV has flow rate=0; tunnels lead to valves XS, IY
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Valve LF has flow rate=0; tunnels lead to valves II, OV
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Valve DI has flow rate=0; tunnels lead to valves KI, BY
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Valve OP has flow rate=0; tunnels lead to valves YQ, XF
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Valve NQ has flow rate=0; tunnels lead to valves TC, XS
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Valve QJ has flow rate=0; tunnels lead to valves VT, WT
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Valve IY has flow rate=22; tunnel leads to valve SV
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Valve AJ has flow rate=0; tunnels lead to valves LC, KI
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Valve TE has flow rate=11; tunnels lead to valves QI, HI, KM, YQ
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Valve ZZ has flow rate=0; tunnels lead to valves KI, AA
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Valve VT has flow rate=0; tunnels lead to valves XF, QJ
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Valve OL has flow rate=0; tunnels lead to valves KM, II
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Valve TC has flow rate=0; tunnels lead to valves NQ, DU
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Valve TL has flow rate=0; tunnels lead to valves VF, KI
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Valve QT has flow rate=0; tunnels lead to valves AA, ON
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Valve BY has flow rate=0; tunnels lead to valves DM, DI
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Valve OV has flow rate=0; tunnels lead to valves LF, WT
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Valve VN has flow rate=0; tunnels lead to valves RR, BD
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Valve VF has flow rate=13; tunnels lead to valves OY, IZ, TL
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Valve BD has flow rate=17; tunnels lead to valves NU, VN
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Valve UG has flow rate=0; tunnels lead to valves VJ, DU
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Valve PF has flow rate=0; tunnels lead to valves LC, DM
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Valve RR has flow rate=0; tunnels lead to valves XS, VN
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Valve AA has flow rate=0; tunnels lead to valves QT, ZZ, AW, VJ, NE
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Valve JW has flow rate=0; tunnels lead to valves ZK, QI
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Valve AA has flow rate=0; tunnels lead to valves DD, II, BB
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Valve BB has flow rate=13; tunnels lead to valves CC, AA
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Valve CC has flow rate=2; tunnels lead to valves DD, BB
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Valve DD has flow rate=20; tunnels lead to valves CC, AA, EE
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Valve EE has flow rate=3; tunnels lead to valves FF, DD
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Valve FF has flow rate=0; tunnels lead to valves EE, GG
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Valve GG has flow rate=0; tunnels lead to valves FF, HH
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Valve HH has flow rate=22; tunnel leads to valve GG
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Valve II has flow rate=0; tunnels lead to valves AA, JJ
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Valve JJ has flow rate=21; tunnel leads to valve II
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