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newt/aoc2024/Day9.newt
2024-12-09 16:53:32 -08:00

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module Day9
import Prelude
import Node
import Aoc
import SortedMap
File : U
File = Int × Int × Int
parse : String -> List File
parse cs = go 0 (unpack $ trim cs) Nil
where
go : Int -> List Char -> List File -> List File
go id (a :: b :: cs) acc =
go (id + 1) cs ((id, (ord a - 48), (ord b - 48)) :: acc)
go id (a :: cs) acc = go (id + 1) cs ((id, (ord a - 48), 0) :: acc)
go _ _ acc = reverse acc
part1 : List File -> Int
part1 fs = go 0 0 fs $ reverse fs
where
go : Int -> Int -> List File -> List File -> Int
go pos csum Nil bwd = ?
go pos csum fwd Nil = csum
go pos csum ((id, 0, 0) :: fwd) bwd = go pos csum fwd bwd
go pos csum fwd ((id, 0, _) :: bwd) = go pos csum fwd bwd
go pos csum ((id, 0, k) :: fs) ((id', l, g) :: bwd) =
if id == id' then csum
else go (pos + 1) (csum + pos * id') ((id, 0, k - 1) :: fs) ((id', l - 1, g) :: bwd)
go pos csum ((id, k, gap) :: fs) ((id', l, g) :: rest) =
if id == id'
then go (pos + 1) (csum + pos * id) ((id, k, gap) :: fs) ((id', l - 1, g) :: Nil)
else go (pos + 1) (csum + pos * id) ((id, k - 1, gap) :: fs) ((id', l, g) :: rest)
min : Int Int Int
min a b = if a < b then a else b
-- I really do want records...
Node : U
Node = Int × Int × File
FileSystem : U
FileSystem = SortedMap Int Node
mkfs : List File FileSystem
mkfs = foldl go EmptyMap
where
go : FileSystem File FileSystem
go fs (id,l,g) = updateMap id (id - 1, id + 1, id, l, g) fs
removeNode : Int FileSystem FileSystem
removeNode ix fs =
-- yeah, I want records..
let (Just (_ ,p1,n1, i1, l1, g1)) = lookupMap ix fs | _ => fs in
let (Just (_, p2, _, i2, l2, g2)) = lookupMap p1 fs | _ => fs in
let fs = updateMap p1 (p2, n1, i2, l2, g2 + l1 + g1) fs in
let (Just (_, _, n2, i2, l2, g2)) = lookupMap n1 fs | _ => fs in
updateMap n1 (p1, n2, i2, l2, g2) fs
insertNode : Int File FileSystem FileSystem
insertNode ix (i,l,g) fs =
-- previous
let (Just (_, p1, n1, i1, l1, g1)) = lookupMap ix fs | _ => fs in
let fs = updateMap ix (p1,i,i1,l1,0) fs in
let fs = updateMap i (ix, n1, i,l,g1 - l) fs in
let (Just (_, p2, n2, i2, l2, g2)) = lookupMap n1 fs | _ => fs in
updateMap n1 (i, n2, i2, l2, g2) fs
defrag : FileSystem Int -> Int Int FileSystem
defrag fs start end limit =
case lookupMap end fs of
Nothing => fs
Just (k,(p,n,id,l,g)) =>
-- our only optimization...
if limit <= l then defrag fs start p limit else
case search l start end of
Nothing => defrag fs start p (min l limit)
Just (id',l',g') =>
defrag (insertNode id' (id,l,g) $ removeNode end fs) start p limit
where
search : Int Int Int -> Maybe File
search size pos end =
if pos == end then Nothing else
case lookupMap pos fs of
Nothing => Nothing
Just (_,(p,n,id,l,g)) =>
if size <= g then Just (id,l,g)
else search size n end
check : FileSystem Int
check fs = go 0 0 $ files 0 Lin
where
files : Int SnocList File List File
files start acc = case lookupMap start fs of
Nothing => acc <>> Nil
Just (_, _, n, f) => files n (acc :< f)
go : Int Int List File Int
go pos csum Nil = csum
go pos csum ((id,l,g) :: rest) =
if l == 0 then go (pos + g) csum rest
else go (pos + 1) (csum + pos * id) ((id, l - 1, g) :: rest)
part2 : List File Int
part2 files =
let fs = mkfs files
end = cast (length files) - 1
fs' = defrag fs 0 end end
in check fs'
run : String -> IO Unit
run fn = do
putStrLn fn
text <- readFile fn
let files = parse $ trim text
putStrLn $ show (length files) ++ " files"
let p1 = part1 files
putStrLn $ "part1 " ++ show p1
let p2 = part2 files
putStrLn $ "part2 " ++ show p2
pure MkUnit
main : IO Unit
main = do
run "aoc2024/day9/eg.txt"
run "aoc2024/day9/input.txt"