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2023-12-23 14:58:01 +01:00
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commit c568ce2677
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module Part2 where
import Commons
import Data.Array (Ix (inRange), bounds, (!))
import qualified Data.Map as M
type CompactPaths = M.Map ((Int, Int), Direction) ((Int, Int), Direction, Int)
invertDirection :: Direction -> Direction
invertDirection North = South
invertDirection East = West
invertDirection South = North
invertDirection West = East
findCompactPaths :: Trails -> [(Int, Int)] -> (Int, Int) -> Direction -> Int -> CompactPaths
findCompactPaths _ [(yF, xF)] (y, x) d n =
let iD = invertDirection d
in M.insert ((yF, xF), South) ((y, x), d, n + 1) $ M.singleton ((y, x), iD) ((yF, xF), North, n + 1)
findCompactPaths tr ((yF, xF): t) (y, x) d n
| let t = tr ! (yF, xF) in t /= Empty && t /= Rock =
let Slope nD = tr ! (yF, xF)
iD = invertDirection d
iND = invertDirection nD
in if n <= 2 then findCompactPaths tr t (yF, xF) nD 1
else M.union (M.insert ((yF, xF), nD) ((y, x), d, n + 1) $ M.singleton ((y, x), iD) ((yF, xF), iND, n + 1))
$ findCompactPaths tr t (yF, xF) nD 1
| otherwise = findCompactPaths tr t (y, x) d (n + 1)
getCompactPaths :: Trails -> [[(Int, Int)]] -> CompactPaths
getCompactPaths _ [] = M.empty
getCompactPaths tr (h: t) = let (y, x) = head h
in M.union (getCompactPaths tr t) $ findCompactPaths tr h (y + 1, x) North 0
cleanNext :: Trails -> CompactPaths -> [(Int, Int)] -> [((Int, Int), Direction)] -> [((Int, Int), Direction, Int)]
cleanNext _ _ _ [] = []
cleanNext tr cp hist ((ch, dh): t) =
if inRange (bounds tr) ch && (tr ! ch /= Rock) && notElem ch hist
then let actualNext = M.lookup (ch, dh) cp
in case actualNext of
Just v -> v: cleanNext tr cp hist t
_ -> (ch, dh, 1): cleanNext tr cp hist t
else cleanNext tr cp hist t
getNext :: Trails -> CompactPaths -> [(Int, Int)] -> Direction -> [((Int, Int), Direction, Int)]
getNext tr cp ((y, x): t) North = cleanNext tr cp t [((y - 1, x), North), ((y, x - 1), West), ((y, x + 1), East)]
getNext tr cp ((y, x): t) East = cleanNext tr cp t [((y - 1, x), North), ((y, x + 1), East), ((y + 1, x), South)]
getNext tr cp ((y, x): t) South = cleanNext tr cp t [((y + 1, x), South), ((y, x - 1), West), ((y, x + 1), East)]
getNext tr cp ((y, x): t) West = cleanNext tr cp t [((y - 1, x), North), ((y, x - 1), West), ((y + 1, x), South)]
getNextTrails' :: Trails -> CompactPaths -> (Int, Int) -> (Int, Int) -> [((Int, Int), Int)] ->
[((Int, Int), Direction, Int)] -> [[((Int, Int), Int)]]
getNextTrails' _ _ _ _ _ [] = []
getNextTrails' tr cp f s hist ((ch, dh, nh): t)
| ch == f = ((ch, nh): hist): getNextTrails' tr cp f ch hist t
| otherwise = getNextTrails tr cp f ch ((ch, nh): hist) dh ++ getNextTrails' tr cp f ch hist t
getNextTrails :: Trails -> CompactPaths -> (Int, Int) -> (Int, Int) -> [((Int, Int), Int)] -> Direction ->
[[((Int, Int), Int)]]
getNextTrails tr cp f s hist d = let histWithoutDist = map fst hist
next = getNext tr cp histWithoutDist d
in getNextTrails' tr cp f s hist next
getAllTrails :: Trails -> CompactPaths -> [[((Int, Int), Int)]]
getAllTrails tr cp = let ((yMin, xMin), (yMax, xMax)) = bounds tr
in getNextTrails tr cp (yMax, xMax - 1) (yMin - 1, xMin + 1) [((yMin - 1, xMin + 1), 0)] South