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@ -1,13 +1,14 @@ |
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module Day3 |
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( |
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module Day3 |
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getDistanceAndSteps |
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) where |
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import Numeric.Natural |
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import Text.ParserCombinators.ReadP |
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import Data.Char |
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import Control.Applicative |
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import Data.Set as S |
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import Data.Map as M |
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import Data.List |
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data Instruction = R Natural |
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| L Natural |
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@ -32,47 +33,56 @@ readInstruction = do |
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_ -> error "fail instruction" |
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type Coord = (Integer, Integer) |
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type MyMap = M.Map Coord Natural |
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executeInstruction :: Coord |
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-> Natural |
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-> Instruction |
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-> S.Set Coord |
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-> (S.Set Coord, Coord) |
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executeInstruction (x,y) (R n) s = (go (fromIntegral n) s, (x,y + fromIntegral n)) |
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where go 0 s' = s' |
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go n' s' = S.insert (x,y + n') (go (n' - 1) s') |
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executeInstruction (x,y) (L n) s = (go (fromIntegral n) s, (x,y - fromIntegral n)) |
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where go 0 s' = s' |
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go n' s' = S.insert (x,y - n') (go (n' - 1) s') |
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executeInstruction (x,y) (U n) s = (go (fromIntegral n) s, (x + fromIntegral n,y)) |
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where go 0 s' = s' |
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go n' s' = S.insert (x + n',y) (go (n' - 1) s') |
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executeInstruction (x,y) (D n) s = (go (fromIntegral n) s, (x - fromIntegral n,y)) |
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where go 0 s' = s' |
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go n' s' = S.insert (x - n',y) (go (n' - 1) s') |
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-> MyMap |
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-> (MyMap, Coord, Natural) |
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executeInstruction (x,y) steps (R n) s = (go 1 s, (x + fromIntegral n, y), steps + n) |
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where go n' s' |
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| n' == fromIntegral n + 1 = s' |
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| otherwise = M.insertWith min (x + n', y) (steps + fromInteger n') (go (n'+ 1) s') |
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executeInstruction (x,y) steps (L n) s = (go 1 s, (x - fromIntegral n,y), steps + n) |
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where go n' s' |
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| n' == fromIntegral n + 1 = s' |
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| otherwise = M.insertWith min (x - n', y) (steps + fromInteger n') (go (n'+ 1) s') |
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executeInstruction (x,y) steps (U n) s = (go 1 s, (x,y + fromIntegral n), steps + n) |
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where go n' s' |
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| n' == fromIntegral n + 1 = s' |
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| otherwise = M.insertWith min (x, y + n') (steps + fromInteger n') (go (n'+ 1) s') |
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executeInstruction (x,y) steps (D n) s = (go 1 s, (x,y - fromIntegral n), steps + n) |
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where go n' s' |
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| n' == fromIntegral n + 1 = s' |
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| otherwise = M.insertWith min (x, y - n') (steps + fromInteger n') (go (n'+ 1) s') |
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executeAllInstructions :: Line -> Coord -> S.Set Coord |
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executeAllInstructions [] _ = S.empty |
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executeAllInstructions (x:xs) c = |
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let (s, c') = executeInstruction c x S.empty in |
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union s (executeAllInstructions xs c') |
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executeAllInstructions :: Line -> Coord -> Natural -> MyMap |
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executeAllInstructions [] _ _ = M.empty |
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executeAllInstructions (x:xs) c steps = |
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let (s, c', steps') = executeInstruction c steps x M.empty in |
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M.unionWith min s (executeAllInstructions xs c' steps') |
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executeForAllLines :: [Line] -> Coord -> [S.Set Coord] |
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executeForAllLines [] _ = [] |
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executeForAllLines (x:xs) c = |
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executeAllInstructions x c : executeForAllLines xs c |
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executeForAllLines :: [Line] -> Coord -> Natural -> [MyMap] |
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executeForAllLines [] _ _ = [] |
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executeForAllLines (x:xs) c steps = |
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executeAllInstructions x c steps : executeForAllLines xs c steps |
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getIntersection :: [S.Set Coord] -> S.Set Coord |
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getIntersection [] = S.empty |
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getIntersection (x:xs) = Prelude.foldr S.intersection x xs |
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getIntersection :: [MyMap] -> M.Map Coord [Natural] |
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getIntersection [] = M.empty |
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getIntersection (x:xs) = Prelude.foldr (M.intersectionWith (:)) (M.map (:[]) x) xs |
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getDistance :: Coord -> Integer |
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getDistance (x,y) = abs x + abs y |
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getSmallest :: S.Set Coord -> Integer |
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getSmallest = S.findMin . S.map getDistance |
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getSmallest :: M.Map Coord [Natural] -> Integer |
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getSmallest = fst . M.findMin . M.mapKeys getDistance |
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getNumber :: String -> Integer |
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getNumber s = getSmallest c |
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getSmallest' :: M.Map Coord [Natural] -> Integer |
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getSmallest' m = let m' = M.map (fromIntegral . sum) m in minimum m' |
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getDistanceAndSteps :: String -> (Integer, Integer) |
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getDistanceAndSteps s = (getSmallest c, getSmallest' c) |
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where c = getIntersection cs |
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cs = executeForAllLines ls (0,0) |
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cs = executeForAllLines ls (0,0) 0 |
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ls = fst . last . readP_to_S readInstructions <$> lines s |
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