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3826a13244
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b40650cd6b
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@ -13,3 +13,10 @@ depends = contrib
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executable = advent-of-code-2024
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main = Main
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modules = Main, Utils, AllDays,
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Data.Problem,
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Day1.Part1, Day1.Part2,
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Day2.Part1, Day2.Part2,
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Day3.Part1, Day3.Part2,
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Day4.Part1, Day4.Part2,
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Day5.Part1, Day5.Part2
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@ -10,7 +10,3 @@ import public Day4.Part1
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import public Day4.Part2
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import public Day5.Part1
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import public Day5.Part2
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import public Day6.Part1
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import public Day6.Part2
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import public Day7.Part1
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import public Day7.Part2
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@ -3,15 +3,17 @@ module Day4.Part1
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import Data.String
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import Data.Vect
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import Utils
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%default total
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--- TYPES
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public export
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Board : Nat -> Nat -> Type
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Board h w = Grid h w Char
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Board h w = Vect h (Vect w Char)
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public export
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Pos : Nat -> Nat -> Type
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Pos h w = (Fin h, Fin w)
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public export
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@ -25,10 +27,19 @@ directions = [U, UR, R, DR, D, DL, L, UL]
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export
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parseInput : String -> Maybe (h ** w ** Board h w)
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parseInput = parseGrid
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parseInput inp =
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let ls@(row :: _) = unpack <$> lines inp
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| [] => Just (0 ** 0 ** [])
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width = length row
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in map (\l => (length l ** width ** fromList l))
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(traverse (toVect width) ls)
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--- DATA
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export
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index : Pos h w -> Board h w -> Char
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index (i, j) = index j . index i
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predFin : Fin n -> Maybe (Fin n)
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predFin FZ = Nothing
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predFin (FS x) = Just $ weaken x
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@ -4,7 +4,6 @@ import Data.String
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import Data.Vect
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import Day4.Part1
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import Utils
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%default total
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@ -1,95 +0,0 @@
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module Day6.Part1
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import Data.Colist
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import Data.List
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import Data.Maybe
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import Data.Vect
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import Data.Vect.Quantifiers
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import Utils
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%default total
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--- TYPES
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public export
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data Direction = U | R | D | L
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export
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Eq Direction where
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U == U = True
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D == D = True
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L == L = True
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R == R = True
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_ == _ = False
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-- True if there is an obstacle
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public export
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Map : Nat -> Nat -> Type
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Map h w = Grid h w Bool
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--- PARSING
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parseDir : Char -> Maybe Direction
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parseDir '^' = Just U
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parseDir '>' = Just R
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parseDir 'v' = Just D
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parseDir '<' = Just L
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parseDir _ = Nothing
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export
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parseInput : String -> Maybe (h ** w ** (Map h w, Pos h w, Direction))
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parseInput inp = do
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(h ** w ** grid) <- parseGrid inp
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g <- findGuard grid
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pure (h ** w ** ((map . map) (=='#') grid, g))
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where
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findGuard : Vect h (Vect w Char) -> Maybe (Pos h w, Direction)
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findGuard [] = Nothing
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findGuard (row :: vs) =
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case any (\c => isItJust (parseDir c)) row of
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Yes p => Just ((FZ, cast $ anyToFin p), fromJust _ @{anyToFinCorrect p})
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No _ => map (mapFst (mapFst FS)) $ findGuard vs
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--- DATA
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predFin : Fin n -> Maybe (Fin n)
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predFin FZ = Nothing
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predFin (FS x) = Just $ weaken x
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export
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moveDir : {h, w : _} -> Direction -> Pos h w -> Maybe (Pos h w)
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moveDir U (i, j) = (,j) <$> predFin i
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moveDir R (i, j) = (i,) <$> strengthen (FS j)
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moveDir D (i, j) = (,j) <$> strengthen (FS i)
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moveDir L (i, j) = (i,) <$> predFin j
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export
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rotate : Direction -> Direction
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rotate U = R
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rotate R = D
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rotate D = L
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rotate L = U
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getRoute : {h, w : _} -> (Pos h w, Direction) -> Map h w
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-> Colist (Pos h w, Direction)
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getRoute (pos, dir) mp =
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let Just next = moveDir dir pos
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| Nothing => [(pos, dir)]
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in (pos, dir) ::
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if index next mp
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then getRoute (pos, rotate dir) mp
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else getRoute (next, dir) mp
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--- SOLUTION
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covering
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forceList : Colist a -> List a
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forceList [] = []
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forceList (x :: xs) = x :: forceList xs
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export covering
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solution : String -> Maybe Nat
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solution inp = do
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(h ** w ** (mp, g)) <- parseInput inp
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pure $ length $ nub $ map fst $ forceList $ getRoute g mp
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@ -1,64 +0,0 @@
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module Day6.Part2
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import Data.Colist
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import Data.List
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import Data.Maybe
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import Data.Vect
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import Day6.Part1
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import Utils
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%default total
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--- DATA
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getCollisions : {h, w : _} -> (Pos h w, Direction) -> Map h w
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-> Colist (Pos h w, Direction)
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getCollisions (pos, dir) mp =
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let Just next = moveDir dir pos
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| Nothing => []
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in if index next mp
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then (next, dir) :: getCollisions (pos, rotate dir) mp
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else assert_total $ getCollisions (next, dir) mp
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insertObs : Pos h w -> Map h w -> Map h w
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insertObs (i, j) = updateAt i (replaceAt j True)
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-- Must be total, as element type is finite
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checkRepeated : Colist (Pos h w, Direction) -> Bool
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checkRepeated = assert_total $ go []
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where
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covering
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go : Eq a => List a -> Colist a -> Bool
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go _ [] = False
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go seen (x :: xs) =
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(x `elem` seen) || go (x :: seen) xs
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covering
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loopPos : {h, w : _} -> (Pos h w, Direction) -> Map h w
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-> List (Pos h w)
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loopPos g mp = do
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i <- toList $ range {len=h}
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j <- toList $ range {len=w}
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let obs = (i,j)
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guard (obs /= fst g && not (index obs mp)) -- must be empty space
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let cols = getCollisions g $ insertObs obs mp
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guard (collides obs cols) -- guard must collide with obstacle
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guard (checkRepeated cols) -- must cause a loop
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pure obs
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where
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-- Total in practice because routes that don't hit the new obstacle should
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-- be finite, but we can't assume that from user input, so mark as covering
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covering
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collides : Pos h w -> Colist (Pos h w, Direction) -> Bool
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collides _ [] = False
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collides obs ((pos, _) :: cols) =
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pos == obs || collides obs cols
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--- SOLUTION
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export covering
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solution : String -> Maybe Nat
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solution inp = do
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(h ** w ** (mp, g)) <- parseInput inp
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pure $ length $ loopPos g mp
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@ -1,43 +0,0 @@
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module Day7.Part1
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import Data.List1
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import Data.String
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import Utils
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%default total
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--- TYPES
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public export
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Op : Type
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Op = Nat -> Nat -> Nat
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--- PARSING
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parseLine : String -> Maybe (Nat, List1 Nat)
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parseLine inp =
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let (part1 ::: [part2]) = split (==':') inp
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| _ => Nothing
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in (,) <$> parseNat part1
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<*> (traverse parseNat =<< fromList (words part2))
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export
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parseInput : String -> Maybe (List (Nat, List1 Nat))
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parseInput = traverse parseLine . lines
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--- DATA
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export
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search : List Op -> (tg, tot : Nat) -> List Nat -> Bool
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search _ tg tot [] = tg == tot
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search ops tg tot (x :: xs) =
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-- heuristic: abandon if running total is larger than target
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tot <= tg && any (\op => search ops tg (op tot x) xs) ops
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--- SOLUTION
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export
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solution : String -> Maybe Nat
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solution = map (sum . map fst . filter (\(tg,x:::xs) => search [(+),(*)] tg x xs))
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. parseInput
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@ -1,21 +0,0 @@
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module Day7.Part2
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import Data.List1
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import Day7.Part1
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import Utils
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%default total
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--- DATA
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concat : Nat -> Nat -> Nat
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concat x y = cast $ show x ++ show y
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--- SOLUTION
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export
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solution : String -> Maybe Nat
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solution = map (sum . map fst
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. filter (\(tg,x:::xs) => search [(+),(*),concat] tg x xs))
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. parseInput
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@ -13,7 +13,7 @@ import AllDays
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||| The latest problem that has been solved.
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-- NOTE: UPDATE AFTER EACH SOLUTION
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latest : Problem
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latest = Pr 7 Part2
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latest = Pr 5 Part2
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solMap : SortedMap Problem (String -> String)
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@ -3,7 +3,6 @@ module Utils
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import Data.Maybe
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import Data.String
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import Data.String.Parser
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import Data.Vect
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%default total
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@ -29,25 +28,3 @@ scan p = until p *> p
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export covering
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scanWhile : Monad m => ParseT m a -> ParseT m b -> ParseT m b
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scanWhile w p = many (lookahead w *> requireFailure p *> skip (satisfy (const True))) *> p
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public export
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Grid : (h, w : Nat) -> Type -> Type
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Grid h w a = Vect h (Vect w a)
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public export
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Pos : (h, w : Nat) -> Type
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Pos h w = (Fin h, Fin w)
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export
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parseGrid : String -> Maybe (h ** w ** Grid h w Char)
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parseGrid str =
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let ls@(row :: _) = unpack <$> lines str
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| [] => Just (0 ** 0 ** [])
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width = length row
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in map (\l => (length l ** width ** fromList l))
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(traverse (toVect width) ls)
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export
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index : Pos h w -> Grid h w a -> a
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index (i, j) = index j . index i
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