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2024-12 in haskell

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Julien Dessaux 2024-12-12 23:51:41 +01:00
parent e8941a3e0e
commit c303279077
Signed by: adyxax
GPG key ID: F92E51B86E07177E
8 changed files with 349 additions and 0 deletions
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2024/12-Garden_Groups/example1 Normal file
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AAAA
BBCD
BBCC
EEEC

5
2024/12-Garden_Groups/example2 Normal file
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OOOOO
OXOXO
OOOOO
OXOXO
OOOOO

10
2024/12-Garden_Groups/example3 Normal file
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RRRRIICCFF
RRRRIICCCF
VVRRRCCFFF
VVRCCCJFFF
VVVVCJJCFE
VVIVCCJJEE
VVIIICJJEE
MIIIIIJJEE
MIIISIJEEE
MMMISSJEEE

5
2024/12-Garden_Groups/example4 Normal file
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EEEEE
EXXXX
EEEEE
EXXXX
EEEEE

6
2024/12-Garden_Groups/example5 Normal file
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AAAAAA
AAABBA
AAABBA
ABBAAA
ABBAAA
AAAAAA

80
2024/12-Garden_Groups/first.hs Normal file
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-- requires cabal install --lib megaparsec parser-combinators heap vector
module Main (main) where
import Control.Monad (void, when)
import qualified Data.List as L
import qualified Data.Map as M
import qualified Data.Vector as V
import qualified Data.Vector.Unboxed as VU
import Data.Void (Void)
import Text.Megaparsec
import Text.Megaparsec.Char
example1ExpectedOutput = 140
example2ExpectedOutput = 772
example3ExpectedOutput = 1930
type Line = VU.Vector Char
type Input = V.Vector Line
type Parser = Parsec Void String
parseLine :: Parser Line
parseLine = do
line <- some letterChar <* eol
return $ VU.generate (length line) (line !!)
parseInput' :: Parser Input
parseInput' = do
line <- some parseLine <* eof
return $ V.generate (length line) (line !!)
parseInput :: String -> IO Input
parseInput filename = do
input <- readFile filename
case runParser parseInput' filename input of
Left bundle -> error $ errorBundlePretty bundle
Right input' -> return input'
type Coord = (Int, Int)
type Visited = M.Map Coord ()
compute :: Input -> Int
compute input = fst $ V.ifoldl' compute' (0, M.empty) input
where
compute' :: (Int, Visited) -> Int -> Line -> (Int, Visited)
compute' (acc, visited) y line = VU.ifoldl' (compute'' y) (acc, visited) line
compute'' :: Int -> (Int, Visited) -> Int -> Char -> (Int, Visited)
compute'' y acc@(cost, visited) x c = case M.lookup (x, y) visited of
Just _ -> acc -- already processed
Nothing -> let (area, perimeter, visited') = enclose c (0, 0, visited) (x, y) in (cost + area * perimeter, M.union visited visited')
enclose :: Char -> (Int, Int, Visited) -> Coord -> (Int, Int, Visited)
enclose c acc@(area, perimeter, visited) (x, y) = case M.lookup (x, y) visited of
Just _ -> acc
Nothing -> case input V.!? y of
Just line -> case line VU.!? x of
Just c' -> let n = neighbors visited c x y in L.foldl' (enclose c) (1 + area, 4 - length n + perimeter, M.insert (x, y) () visited) n
Nothing -> (0, 0, visited)
Nothing -> (0, 0, visited)
neighbors :: Visited -> Char -> Int -> Int -> [Coord]
neighbors visited c x y = filter (valid visited c) [ (x-1, y), (x+1, y), (x, y-1), (x, y+1) ]
valid :: Visited -> Char -> Coord -> Bool
valid visited c (x, y) = case input V.!? y of
Just line -> case line VU.!? x of
Just c' -> c == c'
Nothing -> False
Nothing -> False
main :: IO ()
main = do
example1 <- parseInput "example1"
let exampleOutput = compute example1
when (exampleOutput /= example1ExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show example1ExpectedOutput)
example2 <- parseInput "example2"
let exampleOutput = compute example2
when (exampleOutput /= example2ExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show example2ExpectedOutput)
example3 <- parseInput "example3"
let exampleOutput = compute example3
when (exampleOutput /= example3ExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show example3ExpectedOutput)
input <- parseInput "input"
print $ compute input

140
2024/12-Garden_Groups/input Normal file
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QQQQQQQQQQQQQQQQQQQWWWWWWWWRYYYYYYYYYYOOOOMOYYYYBBYYYYBBBGGGGGVVVVVNNNNPPOOOOOOOOOOOOOGGGGGGGGGGKTTTTTTTVVVVKKKKKKKKKKKKKKKKPDPBBBBBBBBBBBBB
QQAQAQQQQQQQQQQQQMMWWWWWWWWRRRYRYOOYOOOOOOOOHHHYBBBYBBBBBGGGVGVVVVVNPPPPPPOOOOOOOOOOOGGQGGGGGGGGGTTTTTTTVVKKKKKKKKKKKKKKKKKKPPPPPBBBBBBBBBBB
QQAAAQQQQQQQQQQQMMMWWWWMMWRRRRYRRROOOOOOOOOHSHIBBBBBBBBBBVGGVVVVVVRPKKPPPPOOOOPPPOOOOGGGGGGGGGGGGTTTTTTTVVVKKKKKKKKKKKKKJJKKPPPBBBBBBBBBBBBB
QAAAAAUQJQQQQQQQQMMMMWMMMMRRRRRRRRROOOOOOOOHHHBBBBBBBBBBBVVVVVVVVVVPPPPPPPPPPOPPOOOOOGTTTTTTTTTTTTTTTTTTVVVKKKKRRKKKKKKKKJPPPBBBBBBBFFFBBBBB
AAAAAAUUJQQQQQQQQMMMMWMMMMRRRRRRRRROOOOOOOOHHHHBBBBBBBBBBVVVVVVVVVVVVPPPPPPPPPAPPPPGGGTTTTTTTTTTTTTTTTVVVVVVKKKKRKRKKRKJJJPPBBBBBBFFFFBBBBBB
AAAAAAAAJQQQQQQMMMMMMMMMMMRRRRRRRRROOOOOOOOHHHDDDDDBDBBBBBVVVVVVVVVPPPPPPPPPPPPPPPPGGGTTTTTTTTTTTTTTTTVVVVVVVKKRRRRRKRRJJJJBBBBBBBBFFFFFBFBB
AAAAAAJJJJQQQQQQRAMMMMMMMMRRRRRRRRROOOUOOOHHHHDDDDDDDDBBBBVVVVVVVVVVPPPPPPPPPPPPPPPGGGGGGGGGGGTTTTTTTTVVVAAVMRRRRRRRRRRJJJJJJBBBBBFFFFFFFFFS
AAAAAJJJJJQQQQQAAAAMMMMMMZZRNRRRRRRRRRUOOOHHDDDDDDDDDDDBBBBBBVVVVVVPPPPPPPPPPPPGGGUGGGGGGGGGGGTTTTTTTTVVVARRRRRRRRRRRRRJJJJJBBBBBBFFFFFFFFFS
JAAAJJJJJJQQQQQAAAAAAMAAZZZRRRRRRRRRRRUOOHHHHHDDDDDDDHHBBBHBBUUUUVVVPPPPPPPPPPPPGGUGGGGGGGGGGGTTTTTTTTAVVARRRRRRRRRRRRJJJJJJBBBBFFFFFFFFFUUS
JAAJJJJJJJJQJLAAAAAAAAAAAZURUUURRRRRRRRRRHHHHHHHHDHDHHHHHHHBBHUUUUUVPPPPPPPPPPPGGGGGGGGGGGGGGGGGXGGAAAAAAARRRRRRRRRRRRRJJJJJBBJBFFFFFFFFFFFS
JJJJJJJEJJJJJAAAAAAAAAAAAUUVUUUURRRRRRRRRRHHHHHHHHHDHHHHHHHBHHUUUUUUPPPPPPPPPPPPGGGGGGGGGGGGGGGGGGGGAAAAAARRRRRRRRRRRRRRVJJJJBJJJFFFFSSSSSSS
JJJJJJJEEEEEEAAAAAAAAAAAAUUUUUUUURRRRRRRNRRHHHHHHHHHHHHHHHHHHHUUUUUUUPPPPPPPPPPPGGGGGGGGGGGGPGGGGGGGGGAAAAARRRRRRRRRRRRRVJJJJJJJSSFFFSSSSSSS
JJJJJEEEEEEEEEAIIIIIIAAAFFUUUUUUUUZRRRRRNPPHHHHHHHHHHHHHHHHHHHHUUUUPPPPFPPFPPPPPPBBGGGBGGGGGGGGGGGGGGGAAAAAAAAARRRRRRRRYVJJJJJJSSSSSSSSSSSSS
JJJJJJEIIIIIIIIIIIIIIAAAFFFUUUUUUURRRRNNNPPPPHHHHHHHHHHHHHHHHHUUUUUPPFFFFFFFPBBBBBBBBBBBBBGGGGGGGGGGGGGAAAAAAAAMRRRRRRRRVVVVJJSSSSSSSSSSSSSS
JJJJJJJIIIIIIIIIIIIIIAAFFFFUUUUUUUUHUNNPPZPPPYHHHYHHHHHIHHHHHHHUUUUUOFFFFFFFBBBBBBBBBBBBBBBBGGGGGGGGGGGGGAAAAARRRRRRVVVVVVVVVJSSSSSSSSSSSSSS
JJJJJJJIIIIIIIIIIIIIIAAFFFFFUUUUUUUUUPPPPPPPPYYYYYHHHHHHRHHHHHHUUUUUOOFFFFFFBBBBBBBBBBFFBBBBBGGGGGGUUGGUAAAAAAARRRRRRVVVVVVVASSSSSSSSSSSSSSS
JJJJEJJIIIIIIIIIIIIIIFFFFFFFFUUUUUUUUUUUPVPPPYYYYYHHHHRRRHHHHHHRROOOOFFFFFXBBBBBBBBBBFFFFBBBGGGGUUUUUUUUAAAVVVVRRRRRVVVVVVVVAASSSSSSSSSSSSSS
JJJJEEEIIIIIIIIIIIIIIFFFFFFFFFFUUUUUUUVUKVPPPYYYXXHHPHRRRRRRRRRRROOOOOOFFFFBBBBBBBBBBFFFFBBBBGGGUUUUUUURAAAVVVVJJRVVVVVVVVVVVASIVGSSSSSMSSSS
VJJJHEEIIIIIIIIIIIIIIFFFFFFFFFFUUUUUVVVKKVVVXXXXXQNHHHRRRRRRRRRRROOOOOFFFFSBBBBBBBBBBFFFFBBBIGGUUUUUUUNUUEEVVVVVVVVVVVVVVVVVVSSVVSSSSSSMMMSS
VJJJJTTIIIIIIIIIIIIIIFFFFFFFFFFUUUUUVVVVVVVVXXQQQQQHHRRRRRRRRRRRRROOOOOOOFSBBBBJJBBBJFFFFFIBIGUUUUUUUUUUUUUVVVVVVVVVVVVVVVVVVVVVVSSSSSSSMMSS
VVVJTTEEEIIIIIIIIIIFFFFFFFFAFUUUVVVUVVVVVVVVXXXXQQQQHRRRGGRRRRRRRROLOOOOOOBBBJJJJJJJJFFFFFIIIIIUUUUUUUUUUUUVVVVVVVVVVVVVQVVVVVVVWWWSWWMMMMSS
VVVTTTTEEIIIIIIIIIIFFFFFFFFFFUUUUVVVVVVVVVVXXXXQQQQQQRRGGGRRNRRRRROLOOLLOOBBBEEJJJJJJJJOFFIIIIUUUUUUUUUUUUUAVVVVVVVQQQQQQQQQVVVWWWWWWWMKKMMM
VVVTEEEEEIIIIIIIIIIFFFFFFFFFFUUUVVVVVVVVVVVXXXXXQQQQQQQGGGGNNRNNNRRLLOOLOOOLBEEJJJJJOOOOFFFIIIUUUUUUUUUUUUUQVQQQVVVQQQQQQQQQQQQWWWWWWWMMMMMM
VVVVVEEEEIIIIIIIIIIFFFFFFFFUUUUVVVVVVVVVVXXXXXXXQQQQQLLLGLLNNNNNNNNLLLLLLLLLBBZZZJJJJOOIFFIIIIIUUUUUUUUUUUUQQQQQQQVQQQQQQQQQQQQWWWWWWWMMMMMM
VVVVEEEEEIIIIIIIIIIMFFFFFUFUUVUVVVVVVVVVVVVVXXQQQQQQQLLLGLNNNNNNNNNNLLLLLLLLZZZZZZZZIIIIIFIIIIIIIUUUUUUUUUQQQQQQQQQQQQQQQYQYYWWWWWWMMMMMMMMM
VHVHPEEIIIIIIIIIIIIMMMMFUUUUUVVVVVVVVVVVVVVVXXXQQQQMQMLLLLLNNNNNNNNNNLLLLLLLZZZZZZZZZIIIIIIIIIIIUUUUUUUUUUUQQQQQQQQQQQQQQQQQYWWNNNWWWMMMMMMM
VHHHHHHHIIIIIIIIIIIMMMMFFUUUUVVVVVVVVVVVVVXXXXXQQMQMNMMMMLLNNNIINNNNLLLLLLLLLZZZZZZZZPIIIIIIIIUUUUURRRUUUUQQQQQQQQQQQQQQQSSQWWWZNNNWWMMMMMMM
VHHHHHHIIIIIIIMMMMMMMMMUUUUUVVVVVVVVVVVVVVVXXXXXXMMMMMMMIIIIIIIINNNLLLLLLLLLLZZZZZZZZIIIIIIIIIUUUUURRRUUUWQQQQQQQQQQQQQQSSSSWWSZNNNWMMMMMMMM
HHHHHHHHIIIIIIMMMMMMMMMSUMUUUULVYVVVVVVLVVBEEXXXXMMMMMMMIIIIIIINNLLLLLLLLLLLLLZZZZZZZGIIIIIIIIUUUURRRRRSUUUQQQQQQQSSSSSSSSSSSSSSSNWWWMMMMMMM
HHHHHHGGGIVVMMMMMMMMSMSSSUUUUULVYVVVVVVLEEEEEEEEEEMMMMMMMIIIIIIIILLLLLLLLLLLLLLLZZZGGGIIIIIIIIRRURRRRRRRRQQQQQQQQQQSSSSSSSSSSLOOOOOOOMMMMMMM
HHHHHHHHHHHHHPMMMMMMSSSSSUUUUULSSHVVVVVSSFFFEEEEEEMMMMMIIIIIIIRRRRLLLLLLLLLLLLLLZZZCGGIIIIIIIIRRRRRRRRRRRRQRRQQQQQTSYSSSSSSSSLOOOOOOOMMMMMMM
HHHHHHHHUHHHHPPPMMMMMSSSSUUUULLSSHVVVVVSSSFSEEEEEEEMMMIIIIIIIIRRRRRRLLLLLLLLLLLLCZCCGIIIIIIIIIIRRRRRRRRRRRRRRRQTTTTYYSSSSSSSSSOOOOOOOSSMMMMM
HHHHHHHUUUHHHHPPMMMBBJSJJJJKULLSSSSSSSSSSSSSEEEEEEMMMMEEIIIIIIRRRRRRLLLLLLLLLLLLCCCCGIIIIIIIIYRRRRRRRRRRRRRRRRQITTTYSSSSSSGSSSOOOOOOOSSMMMRR
HHHHHHHHUHHHPPPPPPMJJJJJJKKKULSSSSSSSSSSSSSSEEEEEEEEEEEEIIIIIIRRRRRLLLLLLLLGGPPGGCGGGIIIIIIIYYYRRRRRRRRRRRRRRRRTTTTTSSXXXSGSSSOOOOOOOSSSSSRR
HHHHHHHHUHHHHPPPPPPPJJJJJKKKULLSSSSSSSSSSSSSEEEEEEEEEEEIIRIIIIRRRRRRLLLLLLJGGGGGGGGGGIMIIIIYYRRRRRRRRRRRRRRRRRRRTTTXXPXXXXXXBSSSOOOOOSSSSSSS
HHHHHHHHHHHHPPPPPPJJJJJJJKKKKSSSSSSSSSSSSSSSEEEEEEEEEEESIRRRRRRRRRRRRRRLLLJGGGGGGGGGGMMIIXYYYRRRRRRRRRRRRRRRRRRTTTXXXXXXOOOOOOOOOOOOOSSSSSSZ
HHHHHHHHHHPPPPPPPPPJJJJJJKKKKSSSSSSSSSSSSSSEEEEEEEEECCECRRRRRRRRRRRRRRRRLLJGGGGGGGGGGMMIIXYYYYRRRRRQRRRRRRRRRTTTTTXXXXXXOOOOOOOOOOOOOSSSSSSZ
HHHHHHHZZXZPPPPPPJPPJJJJJKKKSSSSSSSSSSSSSSSSEEECECCCCCCCCRRRRRRRRRRRRRRRGGGGGGGGGGGGGXMXXXYXKKKKRRKQQQRRRTTFRTTTTTXXXXXXOOOOOOOOOOOOOSSSSSSZ
HHHHHHZZZZZZZPPPPJJJJJJJJLLKSSSZZSSSSSSSSSEEEEECCCCCCCCCCRRRRRRRBRRRHHRRRGGGGGGGGGUUUXXXXXXXXKKKXKKRRRROROTTTTTTTXXXXXXBOOOOOOOOOOOOOSSSSSSS
HHHHHHHZZZZZZZZPPJJJJJJJJLLLOOSZZZTTSSSWSSEEEEEECCCCCCCCRRRRRRRRBRRHHRRGGGGGGGGGGGUUUXXXXXXXXXKKKKOOOOOOOOTTTTTTTXXXXXBBOOOOOOOOOOOFFSSSSSSS
HHHHHHZZZZZZZZZPPPPPJJJJJLLLOZZZZZZZSSSSEEEEEEEEECCCCCCCRRRRRBBBBBRRHHGGGGGGGGGGGGGGUXXXXXXXXKKKKKOOOOOOOOOTTTTTTXXXXXXBOOOOOOOOOTTFFSSSSSSN
HHHHHHZZZZZZZZPPPPPPPJJKLLLZZZZZZZZZZJSESSSSSSSSSSCCCCCCRRBBRBBBBBRTHHHHGGGGGGGGGGGGUUXXXXXXKKKKKKKOOOOOOOOTTTTTTXXXXXXXOOOOOOOOOTTFDSSSSSSN
HHHHHZZZZZZZZZZZPPPPPJJJLLLZZZZZZZZUZCSESSSSSSSSSSCCCCCCRRBBBBBBBBHHHHHHGGGGGGGGGGGGGUXXXXXXKKKKKKKOOOOOOOOTTOTTTTVXXXXUUUUUUVBFTTTSSSSSNNNN
HHZZZZZZZZZZZZZZPPPPPPJJLLLLZZZZZZZSSSSSSSSSSSSSSSCCCCCCCRBBBBBBBBHHHHHZGGGGGGGGGDGGGGXXXXXXKKKKKKKKOOOOOOOTTOOUUUUUXUUUVVUVVVVVVTTTTSNNNNNN
HHZZZZZZZZZZZZZPPPPPPILLLLLLLZZZZZMSSSSSSSSSSSSSSSIIIICRRRBBBBBBBHHHHHHGGGGGDDDDDDFFGGGXXXXXXKKKKKKOOOOOOOOOOOUUUUUUXUUUVVCVVVVVVVVTTTVNNNNN
HHHZZZZZZZZZZZZZZZZZPIILLLLLLZZZCCCSSSSSSSSSSSSSSSITTTCRRRRBBBBBBBHHHHHHHHGGDNNDDDFFGXXXXXXXKKKXXOOOOOOOOOOHOOUUUUUUXUUUUVVVVVVVVVVTTTVVNVNN
HHHZZZZZZZZZZZZZZZZZIILLLLLLLLLCCCCSSSSSSSSSSSSSSSITTTTZZRBBBBBBBHHHHHHHHHHHDDDDDDDDDXXXXXXXKKXXXOOOOOHOOHOHHHUUUUUUUUUUUXXVVVVVVVVVVVVVVVNN
HHHHHZZZZZZZZZZZZZZZIIIIILLLLLCCCCCSSSSSSSSSSSSSSSQDTTTZZRZBBBBBHHHHHHHHHHHDDDDDDDDDDDXXXXXXKKKXXOOOOOHOOHHHHHUUUUUUUUUUUXXXVVVVVVVVVVVVVVVV
HHHHHZZZZZZZZZZZZZZIIIIIILLLLLCCCCCSSSSSSSSSSSSSSSQTTNNZZZZFFFHHHHHHHHQQQHQPPPPDDDDDDDDDXXXXXXXXXOZOZOHHHHHHHHHHHUUUUUUUUXXVVVVVVVVVVVVVVVVV
HHHHHZZZZZZZZZZZZZZIIIIILLLLLLCCCCCSSSSSSSSSSSSSSSWTTTZZZZZZZHHHHHHQHHQQQQQQQDDDDDDDDDDDXXXXXXXXOOZZZOHHHHHHHHHHUUUUUUUUUUXVVVVVVVVVVVVVVVVV
HHHHHZZZZZHZZZZZZZZZIIVZMLLLLCCCCCCCCCCCSSSSSSSSSSWWTWPZZZZZZHHHHHHQQQQQQQQQQJQQQDDDDDDDXXXXXXXXXZZZZHHHHHHHHHHHUUUUUUUUUUXVVXVVVVVVVVVVNNVP
HHHHHHZZZZHZYZZZZZZZIIZZZLLECCCLCCCCCCCCCGSSSSSSSSSSPPPZZZZZZZHZPHHQQQQQQQQQQQQQDDDDDDDDDXXXXXXXZTZZZZHHHHHHHHHUUUUUUUUXUXXXXXVVVPVVVPPPPPPP
HHHHHHHHHHHZZZZZZZZZZZZZZBLLCCCCSCCCCCCCQQSSSSSSSSSSPZZZZZZZZZZZPDDQQQQQQQQQQQQQQQDDDDDDEEXXXMMZZZZZZZZZHHHHHHHUUUUUUUUXXXXXXXVVVPPPPPPSPPPP
HHHHHHHHHHNDDZZZZZZZZZZZZBBCCCCSSCCCSCCCQQSSSSSSSSSSPZZZZZZZZZZZPPDDDQQQQQQQQQQQUQDDDDDDEDXMMMZZMZZZZZZZHHHHHHUUUUUUUXXXXXXXXXVVPPPPPPPPPPPP
HHHHHHHHHHNDNZZZZZZZZZZZZCCCCSCSSCCSSSQQQQSSSSSSSSSSPPPZZZZZZZZZPPPQQQQQQQQQQQQQQDDDDDDDDDMMMMZZMZZZZZZZZZZHHUUBBUXXXXXXXXXXXVVVPPPPPPPPPPPP
HHHHHHHHHHNNNZZZZZZZZZZZZCMMCSSSSSSSSSSQQSSSSSSSSSSSPPPPOZZZZZZPPPPQQQQQQQQQQQQSSSSSDDDDDMMMMMMZMZZZZZZZZZZHHUUBBAAXXXXXXXXXXVVVPPPPPPPPPPPP
HHHHHHHHHHNNNZZZZZZZZZWZZCCCSSSSSSSSSSSSQSSSSSSSSSSSDPPPOZZZZZPPPPPPQQQQQQQQQQDSSSSSDDDDDDMMCCMMMZZZZZZZZZHHHBBBBABBBXXXXXXXXXVVPPPPPPPPPPPP
HHHHHHHHHHNNNZZZZNZZZZZDCCCCCSSSSSSSSSHHQSSSSSSSSSSSDPPPOZZZZZPPPPPPQQBQQQQQQVDSSSSSDDDHHHHHCCCCMMMZZZZZEEEEBBBBBBBXXXXXXXXXXXVVVVPPPBPVPPPP
HQHHHHHHNNNNNNNNNNZDDDDDCCCCCCSSSHHHHHHHHSSSSSSSSSSSDPPOOOZZXPPPPPPPPPPPQDQQNQKSSSSSDHHHHHHCCCCCCMUUZZUUBBBBBBBBBBBBBXXXXXXXRRVVVVVPPPPPPPPP
QQQHQHNNNNNNNNNNNNNNCCCCCCCCCSSSSSSHHHHHHSSSSSHDDDDDMDPOMOOPPVPPPPPPPPPPDDDQQQQSSSSSDDHHHHHHJJJCCUUUZZUUUBTBBBBBBBBBJJYXXXPPRRVVVVVPPPPPPPPP
QQQQQQNNNNNNNNNNNNNNCCCCCCCCVCSSSSSHHHHHHSSSSSHHDDDMMMPOMMOOPPPPPPPPPPDDDDDDDDDSSSSSYYHHHHHJJJJJUUUUUUUUUBBBBBBBBBBBJBYYYYPPPPPVVVTPPPPPPPPP
QQQQQQNNNQNNNNNNNNNNCCCCCCCCCCCCSHHHHHHHHSSSSSHDDDMMMMMMMMOPPPPPPPPPPPPDDDDDDDDDDDHHHHHHHHHJJJJJUUUUUUUUUBBBBBBBBBBBBBYYYPPPPPPPBPPPPPPPPPPP
QQQQQQQQQQNNNNNNNNOOOCCCCCCCCCCCCHHHHHHHHSSSSSHHMMMMMMMMMMBBPPPPPPPPDDPDDDDDDDDDDDHHHHHHHHHJJJJJJUJUUUUUBBBBBBBBBBBBBBBYYYPPPPPPPDPPPPPPPPPP
QQQQQQQQQOONNNNNNNNOCCCCCCCCCCCCCPPHHHHHHSSSSSHHMMMMMMMMMMBBBPPPPPPPDDDDDDDDDDDDDDHHHHHHHHHJJJJJJJJJUUUBBBBBBBBBBBBBBBBYYYPPPPPPPPPPPPPPPPPP
QQQQQQQQQOONNNNLNNNOCCCCCCCCCCCCCCPHHHHHHSSSSSHHMMMMMMMMMMBBBPOOPPOPDDDDDDDDDDDDDDHHHHHHHHHHJJJJJJJJUUJJJBBBBBBBBBBBBYYYYYYPPPPPPPPPPPPPPPPP
QQQQQQQQQOOONNNLNOOOOCCCCCCCCCCCCCPHHHHPPPHHHHHHHMMMMMMMMMBBBPOOOOODDDDDDDDDDDDDDDDDUHHHHHHJJJJJJJJJJJJJJDBBBBBBBBBYYYYYYYYMPPPSPAAPPPPQQPPU
QQQQQQQQQOOONNNNOOOOCCCCCCCCCCCJCWPPPHPPPPHHHOOMMMMMMMMMMMMOOOOTOOOODDDDDDDDDDNNDDNNHHHHHHHJJJJJJJJZZZZZDBBBBBBIYYBYYYYYYYYYYYYPPAAAPPPQQQPP
QQQQQQQQOOOONNOOOOOORCCCCCCCCCCCCWPPPPPPPPPPHGMMMMMMMMMMMMMMOOTTOOTTDDDDDDDNNNNNNDDNHHHHHHHHJJJJJJZZZZZZDLTBBBBIYYYYYYYYYYYYYLYUPAAAPPQQQQQQ
QQQQQQQQQOOOOOOOOOORRWWCCCCCCCWWWWWPPPPPPGGGGGFGMMMMMMMMXMZZTTTTTTTTTDDDDDDNNNNNNNNNNHHHHHJJZZZJZZZZZZZZDLLBBBBIIIYYIKYYYYYYYLPPPPPPNPQQQQQQ
QQQQQQQQOOOOOOOORROORWWWWWWWWWWWWWWPPPPPPGGGGGGGMMMMMMMMMMTTTTTTTTTTTDDDDDNNNNNNNNNHHHHHZHHJZZZZZZZZZZZZDLLLALBBIIYIIIYYYYYYYPPPPPPPPPQQQQQQ
QQQQQNQQQQOOOORRRRRRRRWWWWWWWWWWWWWPPPPPGGGGGGGGGMMMMMMMMTTTTTTTTTTTTTDDDDNNNNNNNNNNNNNHHHJJZZZZZZZZZZZZDLLLLLBBIIYIYYYYYYRYYYPPPPPPPQQQQQQQ
QQQQQQAAOOOOOOOORZZRRRRWWWWWWWWWWWWWPPPPGGGGGGGGGMMMMMMMMTTTTTTTTTTTTDDDNNNNNNNNNNNNNNNEEHJJZZZZZZZZZDDDDLLLLLLIIIIIYYYYYYRPPPPPPPPPPPQQQQQQ
QQQQQQAAAAOOOOOORRZZRRRWWWWWWWWWWWWWPPPPGGGGGGGGMMMMTTMMNTTTTTTTTTTTTTDNCNNNNNNNNNNNNNNEEPJJZZZZZZZZZDDDLLLZLIIIIITITTYYNNPPPPPPPPPPAQQQQQQQ
QQQQQQAAAAAAOOZZZZZZRRRWWWWWWWWWWWWPPPGGGGGHHHHGGGMITTTTTTTTTTTTTTTTNNNNCCNNNNNNNENNENEEJJJJZZZZZZZZZDDDLLLLLIIIIITTTTTTNNPPPPPPPPPPAQQQQQQQ
AAQQAAAAAAAAAOZZZZZZRRRRWWWWWWWWWPPPPPGGGGGHHHHGIVVIPTITTTTTTTTTTTTTENONCCNNNNNNEEEEEEEEEEYTZZZZZZZZZDDDDDDRLIIIITLTTTTTTNPPPPPPPPPPAAAQQQQQ
AAAQAAAAAAAAZZZZZZZZZZYWWWWWWWWWWWPPPPPGGGHHHHHGIVVIIQITTTTTTTTTTTTYNNNNNNNNNNNNEEEEEEEEEEETZZZZZZZZZFFFZDDRRIIIITTTTTTYYPPPTPPPPPPPAAAAAAAA
AAAAAAAAAAAXXXZZZZZZZZYWWWWWWWWWLLPPPPPGGGHHHHHIIVVIIIIITTTTTTTTTTTYYNNNYNNNNNNHYEEEEEEEEEZZZZZZZZZZZFFFZZZRRRRRITTTTTTTTTTTTTPPPPPAAAAAAAAA
AAAAAAAAAAAZZZZZZZZZZZYYWWYWWWWLLLPPPPRRGGHHHHHIIIVIIIIITTTTTTTWTTTYYNONNNNNNNNHYEEEEEEEEEZZZZZZZZFFFFFFZZRRRRRRTTTTTTTTTTTTTTTPPPPYAAAAAAAA
AAAAAAAAAAAYYZZZZZZZWWYYYYYYWWWWPPPPPPPRRRHHHHHIIIIIIIILLTLTTTTWTTYYYYNNYYNHNNNHHEEEEEEEEEEZZZFZZZFFFFFFZZRUURRRTTTTTTTTTTTTTTTPPPPPAAAAAAAA
AAAAAAAAAYYYYZBBWWWZWWYYYYYYYWWWHPPPPPHHHHHHHHHIIIIIIIILLLLLTTWWWTTYYYYYYHHHHHHHHHHHEEEEEEEZZZFZZZFFFFFFZZUUUUPRTTTTTTTTTRRTTTTPPPAAAAAAAAAA
AAAAAAAAYYYYHHBBWWWWWWYYYYYYYWWWHPPPPPHHHHHHHHHIIIIIIIIILLLLWWWWWWWYYYYYYHHHHHHHHHHHBEEEEEEEEZFZZZFFFFFFZZUUUUPRTTTTTTTTTRRRTTTTTAFAAAAAAAAA
AAAAAAAYYYYHHHHWWWWWWWWYYYYYYHCHHPPPPPHHHHHHHHHIIIIIIIILLLLWWWWWWWWYYYYYHHHHHHHHHHHHBEEEEEEZZZFFFFFFFFFFFZUUUUUSEMMMTTTRRRRRTTTAAAAAAAAAAAAA
AAAAAAYYYYYHHHHHWWWWWWTYYHHHHHHHHHPPPPHHHHHHHHHISSIIIIILLLLLWWWWWWHKKYYHHHHHHHHHHHHHXXXXXEXXZZFFFFFFFFFFFZUUUUUEEEEMERRRRRRRTTTAAAAAAAAAAAAA
AIIIIAYYHHHHHHHWWWWWWYYYYHTHHHHHHHHPPPHHHHHHHHSSSSSSIILLLLWLWWWBBBBBBBBHHHHHHHHHHHHXXXXXXXXXZXFFFFFFFFFFFUUUUUEEEEEEERRRRRRRTTTTAAAAAAAAAAAA
IIIIIAHYHHHHHHHHWWWWWWYYHHHHHHHHHHHHPPBPRRRRRRSSSSSRRSLLLLWWWWWBBBBBBBBBHHHHHHHHHHHHXXXXXXXXXXXFFFFFFFFFFUUUUUEEEEEEEEVRRRRRRTTTAAAAAAAAAAAB
IIIIIHHHHHHHHHHHWWWWWHFYYHHHHHHHHHHHPPBPPRBRRSSSSSSSSSSLLLWWWWWBBBBBBBBBHHHHHHHHHHTHHXXXXXXXXXFFFFFFFFFFFUUUUUUEEEEEEERRRRRRTTTAAAAAAAAAAAAA
IIIIIIHHHHHHHHHHHWWWWHFHHHHHHHHHHHHHHBBBPPBRVSSSSSSSSSLLLLLWWWWBBBBBBBBBHHHHHHHHHHTHXXXXXXXXXXFFFFFFFFFFFUUUUEEEEEEEEEERRRRRTTTCACCAAAAAAAAB
RIIRIHHHHHHHHHHHHHWWWHHHHHHHHHHHHHHHHBBBBBBBSSSSSSSSSSLLLLLWWWWBBBBBBBBBHHHHHHHTTTTTXXXXXXXXXXFFFFFFFFUUUUUUUEEEEEEEEEEEERRRTTTCCCCACCACCCAB
RIRRIHHHHHHHHHHHWWWWWWYYHHHHHHHHHHBHHBBBBBBBSSSSSSSSGGLLLLWWWWWWWWBBBBBMMMMJHHHRRRTTTXXXXXXXXXFFFFFFFFUUUUUUUUEEEEEEEEEEERRRTTTCCCCCCCACCCAA
RRRRHHHHHHHHHHHHWWWWWYYYYHHHHHHHHBBHBBBBBQQQSSSSSSSSSGGWWWWWWWWWWWBMMMMMMMMZZZZZRRTTTXXXXXXXXFFFFFFFFUUUUUUUUUEEEEEEEEEEERRRRTTTTTTTCCCCYYAE
RRRRRHHHHHHHHHHWWWWWWYYYYYEHLHHLHHBBBBBBBQQQBBBSSSSSSHHSWWWWWWWZWWBMMMMMMMMMMZZZRRTTTTWTXXXFFFFFFFFUUUUUUUUUUUEEEEEEEUUEERRRXTTTTTTTCCCCYYYE
KRRRRHHHHHHHHHHWWWWWYYYYVYYZLLLLBBBBBBBBBQQQBBBSSSSSSHHHHEWWWWWWWWBMMMMMMMMMMZZZXXXTXWWWVXXXFIFFFFFUFUUUUUUUUUUUUUECEUUUUAAATTTTTTTTCCCCYYYE
KRRVVHHHHHHHHHHWWWWWWYYYLLLLLLLLBBBBBBBBBQQQBBBSSSSSSHHHHEEWWWBWWWBMMMMMMMMMMXXXXXXXXWWWWXXWWFFFFFFFFUWUUUUUUUUUAUUUUUUUUUAAATTTTTTTTTCYYYYE
KKVVHHHHHHHHHHHHWWWWYYYYLLOLLLLLLLBBBBBBBQQQBBBSSSSSSHHEEEWWWBBWWWWMMMMMMMMMMZXXXXXXXWWWWXXWWWFFFTFFFFWUHHUUUUUUAUUUUUUUUUATTTTTTTTTTCCYYYYE
VKVVFFHHHHHHHWWWWWWWWYYYLLLLLLLLLLNBBBBBBBBBBNWWSWSPHHHHHHHHHWWWWWWMMMMMMMMMMXXXXXXXXHWWWWWWWWWWFTWFFFWUUCCUCUUUUFUUUUUUUAAABBTTTTTTTTCYEEEE
VVVVVVVHHHHWHWWWWWTWTYYNLLLLLLLLLNNBBBBBBBBNNNWWWWWWWHHHHHHHYWMMMMMMMMMMMMMMMXXXXXXXXHHWWWWWWWWWFFWFFWWWCCCCCCUUBBBUUBBBBBBBBBTTTTTTTTTEEEEE
VVVVVVVVVWWWWWWTWTTWTYYNTLLLLLLLLNNNNNNNNNBNNWWWWWWWWWWHHHSSWWMMMMMMMMMMMMMMMXXXXXXXXXXXXXXWWWWWWWWWWWWCCCCCCCUUBBUUUUBBBBBBBBTTTTTTTTEEEEEE
VVVVVVVVWWWWWWWTTTTTTTTTTTTLLLLLLNNNNNNNNNBNWWWWWWWWWWWHSSSSWWMMMMMMMMMMMMMMMZXXXXXXXXXXXXWWWWWWWWWWWWWCCCCCCCCCCBBBBBBBBBBBBBTTTTTTEEEEEEEE
VVVVVVVBWWWWWWWTTTTTTTTTPLLLLLLLLNNNNMMMMMMMMWWWWWWWWWWWSSSSSSMMMMMMMMMMMMMMMZMXXXXXXAXXMWWWWWWWWWWWWWWCCCCCCCCCCBBBBBBBBBBBBBBTTTTTTEEEEEEE
VVVVVVVVWWWWWWTTBTTTTTTTPLLLLLLLLLLLNMMMMMMMMWWWWWWWWWWWSSSSSWMMMMMMMMMMMMMMMNNNXXXXAAAQQQQQWQWWWWWWWWWWCCCCCCCCBBBBBBBBBBBBBBBTTTTTTEEEEEEE
VVVVVVDXWWWWWWWTTTTTTTTTTLLLLLLALLAANMMMMMMMMWWWWWWWWWWSSSSSSSMMMMMMMMZZZGGGGNNNNNNNAAAQQQQQQQWWWWWWWRRWWRCCCCCCBBBBBBBBBBBBBBBTTTTTEEEEEEEE
VVVVVVVXWWWWWNNTTHTTTTTTTTLLLLLAAAAANNIIMMMMMXWWWWWWSSWSSSSSSSMMMMMMMMZZZGGGGGGGNNNNNAAQQQQQQQWTWWXRRRRRRRRCCCCCCCCCBBBBBBBBBBBTTYTTEEEEEEEE
TVVVVVXXWWWWWNNNHHHTTTTTTTTLLLLAAAAAMMMMMMMMMWWBBWIWSSSSSBMMMMMMMMMMMMBZZGGGGGGGNNNAAAAQQQQQQQTTWWRRRRRRRRRCCCCCCCCCBBBBBBBBBBBBTTTEEEEEEEEE
TVWVVVXXXXXONNNHHHNNTTTTTTTLLLLAAAAAMMMMMMMMMWWBBWWXSXSSSSMMMMMMMMMMMMBBBGGGGGGGNNNNAAAQQQQQTTTTTTTRRRRRRRRCCCCCCCCBBBBBBBBBBBBBGTSSEEEEEEEE
TTVVIIXXXXOOOONNHNNNTTTTXATLAAAAAMMMMMMMMMMMMBBBXYXXSXSXSSMMMMMMMBBBWBBBBGGGGGGGNNNNNAAQQQQTTTTTTBBBTRRRRRRRCCCCCCCRBBBBBBBCBBBGGSSSSEEEEEEE
TTTLLXXXLXLLOONGNNNNNTNNAAAAAAAAAMMMMMMMMMMMMBBBXXXXSXXXSSMMMMMMMBBBBBBKBGGGGGGGGGGGNAAAAAQTTTTTTTTTTRRRRRRRRRCCCCRRSBBBBBBSSBBSSSSSEEEEEEEE
TTLLLLLLLXLLLONNNNNNTNNNNAAAAAAAAMMMMMMMMMMMMBBXXXXXXXXSSSSBBBBBBBBBBRRRNGGGGGGGGGGGAAAAAAATTTTTTTTTTTRRRRRRRRRRCRRBBBBBBSSSSSSSSSSEEEEEEEEE
TTLLLLLLLLLLNNNNNNNNNNNNNNNNAAAAAMMMMMMMMMMMMBBBBXXXXXXXXXSSBBBBBBBBBBRRRNGGGGGGGGGGNAAAAAAATTTTTTTRRRRRRRRRRRMMYYRBYYEBBBSSSSSSSSSSEEESSSEE
TLLLLILLLLLLNKNNNNNNNNNNNNNAAAAAAAAJMMMMMMMMMBBBBBXXXXXXXXXSSBBBBBBBBBBRRRGGGGGGGGGGNNNAAAATTTTTTTTTTRRRRRRRRRRRYYYYYYEBSSSSSSSSSSSSSSESSSEE
TLLLLLLLLLLLLLINNNNNNNNNNNNNAAAAAAAJMMMMMMMXBBBBBXXXXXXXXXSSSBBBBBBBBBBBRNGGGGGGGGGGNANAAAATTTTTTTTTTTRRRRRRRRRYYYYYYYSSSSSSSSSSSSSSSSSSSEEE
TLLLLLLLLLLLLLIVNNNONNNNNNNAAAAAAAAAMMMMMMMXFFFBBXXXXXXXXSSSSSBBBBBBBBBBNNNGGGGGGGGGAAAAAATTTTTTTTTTRRRRRRRRRRRYYYYYYSSQSSSSSSSSSSSSSSSSSESS
LLLLLLLLLLLLLLLVVNNONNNNNNNAAAAAAAAYMMMMMMMXFFFBFFXXXXXHHHHSSSSBBBBBBBBBGNNNNNNNANNNAAAAAATTTTTTTTHHRRRRRRRRRRRRYYYYYYSSSSSSSSSSSAAASSSSSSSS
LLLLLLLLLLLLLLXVVNNONNNNNNNHWWAUUAYYYYXXXXXXFFFBFFFFXXXXXHHHSBBBBBBBBBBCNNNNNAANAAAAAAAACCTTTTTTTHHHRRRRRRRRRRRRYYYYYYSSSSSSSSSTSSSSSSSSSSSS
YYLLLLLLLLLLLLHHHHHHHHHHNHHHWAAAZZYYYYYYXXXFFFFFFFFFXXXXXHSSSSBBBWBKKKBBBRNNAAAAAAACAACCCCCCCTTTTHHHRRRRRRKRRRRRRYYYYYSSSSSSSSTTTSSSSSSSSSSS
YLLLLLLLLSSLLLHHHHHHHHHHHHHHHAARZZZYYYYYXFFFFFFFFFFFFXXXHHHSHSSBBWWKKKBBAANAAAAAAAACCCCCCCCCCTHHHHHHHDDDOOKKKRRRRRYYYYSSSSSSSTTTTTSSVSSSSSSS
YYLLSSSLLSSLLLHHHHHHHHHHHHHHHRRRZZZZZYYYXMXXFFFFFFFFFHHHHHHHHSSSSLLKKKBBANNAAAAAAACCCCCCCCCCCTCCHHHHHDDDDKKKKRKKCYYYYSSSSSSSSTTTTTTSVVVVSSSS
YYYLSSSLLSVLLLHHHHHHHHHHHHHHHRRRCCCCCCCCGMMXXFFFFFFFFHHHHHHHHSSLSLLKKKBBAAAAAAAAAACCCCCCCCCCCCCCCHHHHDDDDKKKKKKKKTTYYYYSSSSSTTTTTSSBBBVSSSMS
YYYYSYSSSSVVVVHHHHHHHHHHHHHHHHRRCCCCCCCKMMPMXFFFFOOFFBBHHHHHHSSLLLLKKKAAAAAAAACCCACCCCCCCCCCCCCCCHHHHHDDDDKKKKKKKKTYYYYSSTSTTTTSSSBBBBVSSBBD
YYYYYYSSSSVVVVHHHHHHHHHHHHHHRRRRCCCCCCMMMMMMMMFFFFOFFBBBBHHHHHSSLPPKKKAAVAACCCCCCCCCCCCCCCCCCCCCCCHHDDDDDKKKKKKKKKTTTYYSSTSTTSTSSSBBBBSSBBBD
YYYYYSSSSSVVVVHHHHHHHHHHHHHHRRRRRRCCCCCMMMMMMMFVVVKBBBBBBDDDDDDPLPPLLLAAAAAACCCCCCCCCCCCCCCCCCCCCCCHDDDDKKKKKKKKKTTTYYYTTTTTSSSSSSTBBBBBBBBB
YYYYYYYSSSVVVVHHHHHHHHHHHHHHRRRRCCCCCCCCCMMMMMMMKKKKKKKKDDDDDDBPPPPPPPPPAAAACCCCCCCCCCCCCCCCCCCCCCCHDDDDDKKKCKKKKTTTTTTTTTTTSSSSSDSSBBBBBBBB
YYYYYYSSSSSVVOHHHHHHHHHHHHHHMRRRRCCCCCCCCMMMMMMMKKKKKKKKDRRKDBBPPPPPPPPPAAAAACCCCCCCCCCCICCCCCCCCCCHDDDDDKCCCKKKKKTTTTTTTTTTSSSSSSSSBBBBBBBB
BYYYSSSSSNSSSOOVVHHHHHHHHHHHRRRRCCCCCCCCCMMMMMMMKKKKKKKKRRRRDDPPPPPPPPPPAAAAAACCCCCCCCCIIICCCCCCCCCDDDDSSSCCCKKKKTTTTTTTTTTTSSSSSSSSSBBBBBBB
BBBBSSSSSNNNNOOVVHHHHHHTMMMMRRMMMMCCCCCCCCMMMMMMKKYKKKKKRRRRDPPPPPPPPPPPPAAARACCCCCCCCIIIICCCCCCCCCCXXDSSSSCCCKTKTTTTTTTTTTUSSSSSSSSBBFBBBBB
BBBBBBBSOOOOOOOVVHHHHHHTMMMMMMCMMACMMCCCCCCMMKMMKKKKKKKKRRRRRPPPPPPPPPPPPPAAAAABBCCCCCIIIIICCCCCCCXXXXOSSSSSTTTTKTTTTTTTTTTSSSSSSSSSSFFBBBBB
BBBBBBBBBOWOOOOOOOHHTTTTMMMMMMMMMMMMMCCCCCCMMKKKKKKKKKKKRRRRRQPPPPPPQQPPPEAAAABBBBCCCIIIIIIICICCCCXXSSSSSSSSTTTTTTTTTTTTTTQSQSSSSSSSSFBBBBBB
BBBBBBBBBBOOOOOOOOTTTTTTMMMMMMMMMMMMWCMCCCCCCKKKKKKKKKKKRRRRRQQQQQQQQQQPPPAAPCBBBBBMCZZZZZZZZZZXXXXXSSSSSSSSTTTTTTTTTTTTTTQQQSSQFSSSSFBBBBBB
BBBBBBBBBBOOOOOTOTTTTTTTTMMMMMMMMMMMMMMMCCCCCKKKKKKKKKKRRRRRRQQQQQQQQQQPPPPPPBBBBBBMMZZZZZZZZZZIXXXXSSSSSSSSSSSTTTTTTTTTTTQQQQQQFFFSFFFBBBBB
BBBBBBBBBBOOOOOOOTTTTTTTMMMMMMMMMMMMMMMMMCCCCCTKFKKKKKKKKKKRRHQQQQQQQQQPPPPPBBBBBBBMMZZZZZZZZZZXXXXXXSSSSSSSSSSSTTTTTTTTTTQQFQQFFFSSFFFBBBBB
BBBBBBBBBBBOOOOOOTTTTTTTMMMMMMMMMMMMMMZCCCCCCTTKKKKKKKKKKKKKQQQQQQQQQQQPPPPPPGBBDBBMMZZZZZZZZZZXXXXXXXXSSSSSSSSTTTTTTTTTTVVVFFFFFFFFFFKBEBBE
BBBBBBBBBBOOOOOPPPPTTTTMMMMMMMMMMMMMMZZCCCCCCCTTTKKKKKKKKKKQQQQQQQQQQQPPPPPPPPPPDMMMDZZZZZZZZZZXXXXXXXSSSSSSSSSSTOTTTTTTTVVFFFFFFFFFFFFFEEBE
BBBBBBBBIIIUOOPPPPPPTTTTTMMMMMMMMMMMMZTCCCCCCCTTTTTKKKKKKKKQQQQQQQQQQQPPPPPPPPPPDMMDDDYYZZZZZZIXXXXXSSSSSSSSSSSSOOOTTTVVTVVVVVFFFFFFFFFFFEEE
BBBBBBIIIIIIIPPPPPPTTTTTTMMMMMMMMMMMZZTTTTCCCCTTTTKKKKKKKAAQQQQQQQQRQQPPPPPPPPPDDDMDDDDDZZZZZZXXXXXXSSSSSSSSSSSOOOOTTTTVVVVVVFFFFFFFFFFFFEEE
QBBBBQQIIIIIIIIPPPPTTTTTTMMMMMTTTTTTZZTTTTTCTTTTTTTKKKKAAAAQQQQQQQQQQPPPPPPPPPPDDDDDDDDZZZZZZZXXXXXSSSSSSSSSSSOOOOOOTTTVVVVVFFFFFFFFFFFFFEEE
QQQQQQISIIIIIIIIFTTTTTTTTMMMMMTTTTTTTZTTTTTTTTTTTTTTTTKKAAAAAQQQQQQQPPPPPPPVVPVDDDDDDDDZZZZZZZXXXXSSSSSSSSSSSSOOOOOOOVVVVVVVFFFFFFFFFFFFEEEE
QQQQQIIIIIIIIFFFFFTTTTTTTTMMMMMTTTTTTTTTTTTTTIIIITTIIIIAAAAAAQQQQQQQPPPPPVVVVVVVDDDDDDDZZZZZZZXXXXXXXXXSSSSSSOOOOOOOOVVVVVVVVVFFFFFFFFFFFEEE
QQQQQQQQQIIQFFFFFFTGTTTTTTMVTMMTTTTTTTTTTTTIIIIIIIIIIIIAAAAAAQSQQQQPPPPPPVVVVVVVDDDDDDDZZZZZZZXXXXXXXXXXSSSSOOOOOOOOOOVVVVVVVFFNNNNFFFFFFNNE
QQQQQQQQQQQQFFFFFFTTTTTTTTMVTTTTTTTTTTTTTTTTIIIIIIIIIIIIAAAAPPPPQQQQPPPPPPVVVVVVDDDDDDDZZZZZZZXXXXXXXOOOOOSOOOOOOOOOVVVVVVVVVVVNNNNNNNNFNNNN
QQQQQQQQQQQQFFFFFFFFTTTTTTTTTTTTTTTTTTTTTTTTIIIIIIIIIIIAAAAAPPPPPPPPPPPPPPVVVVVDDDDDDDDZZZZZZZXXXXXOOOOOOOSOOOOOOOOOVVVVVVVVVVVVNNNNNNNNNDDD
QQQQQQQQQQQFFFFFFFFFFFTTTTPPPTTTTTTTTTTTTTTIIIIIIIIIIIIIIAAAPPPPPPPPPPPPPPPPVVDDDDDDDDDZZZZZZZXXXXXXXXOOOOOOOOOOOOOQVLLVEVLVVVVVNNNNNNNNDDDD

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-- requires cabal install --lib megaparsec parser-combinators heap vector
module Main (main) where
import Control.Monad (void, when)
import qualified Data.List as L
import qualified Data.Map as M
import qualified Data.Vector as V
import qualified Data.Vector.Unboxed as VU
import Data.Void (Void)
import Text.Megaparsec
import Text.Megaparsec.Char
example1ExpectedOutput = 80
example2ExpectedOutput = 436
example3ExpectedOutput = 1206
example4ExpectedOutput = 236
example5ExpectedOutput = 368
type Line = VU.Vector Char
type Input = V.Vector Line
type Parser = Parsec Void String
parseLine :: Parser Line
parseLine = do
line <- some letterChar <* eol
return $ VU.generate (length line) (line !!)
parseInput' :: Parser Input
parseInput' = do
line <- some parseLine <* eof
return $ V.generate (length line) (line !!)
parseInput :: String -> IO Input
parseInput filename = do
input <- readFile filename
case runParser parseInput' filename input of
Left bundle -> error $ errorBundlePretty bundle
Right input' -> return input'
type Coord = (Int, Int)
type Visited = M.Map Coord ()
type Region = [Coord]
compute :: Input -> Int
compute input = sum $ map (\r -> corners r * length r) regions
where
(regions, _) = V.ifoldl' regions' ([], M.empty) input
regions' :: ([Region], Visited) -> Int -> Line -> ([Region], Visited)
regions' acc y line = VU.ifoldl' (regions'' y) acc line
regions'' :: Int -> ([Region], Visited) -> Int -> Char -> ([Region], Visited)
regions'' y acc@(rs, visited) x c = case M.lookup (x, y) visited of
Just _ -> acc -- already processed
Nothing -> let (r, visited') = flood c ([], visited) (x, y) in (r:rs, visited')
flood :: Char -> (Region, Visited) -> (Int, Int) -> (Region, Visited)
flood c acc@(rs, visited) (x, y) = case M.lookup (x, y) visited of
Just _ -> acc
Nothing -> L.foldl' (flood c) ((x, y):rs, M.insert (x, y) () visited) $ neighbors visited c x y
neighbors :: Visited -> Char -> Int -> Int -> [Coord]
neighbors visited c x y = filter (valid visited c) [ (x-1, y), (x+1, y), (x, y-1), (x, y+1) ]
valid :: Visited -> Char -> (Int, Int) -> Bool
valid visited c (x, y) = case input V.!? y of
Just line -> case line VU.!? x of
Just c' -> c == c'
Nothing -> False
Nothing -> False
corners :: Region -> Int
corners r = sum $ map corners' r
where
inside c = L.elem c r
outside = not . inside
corners' (x, y) = length $ filter id [ outside (x-1, y) && outside (x, y-1) -- top left in
, outside (x+1, y) && outside (x, y-1) -- top right in
, outside (x-1, y) && outside (x, y+1) -- bottom left in
, outside (x+1, y) && outside (x, y+1) -- bottom right in
, inside (x-1, y) && outside (x-1, y-1) && inside (x, y-1) -- top left out
, inside (x+1, y) && outside (x+1, y-1) && inside (x, y-1) -- top right out
, inside (x-1, y) && outside (x-1, y+1) && inside (x, y+1) -- bottom left out
, inside (x+1, y) && outside (x+1, y+1) && inside (x, y+1) ] -- bottom right out
main :: IO ()
main = do
example1 <- parseInput "example1"
let exampleOutput = compute example1
when (exampleOutput /= example1ExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show example1ExpectedOutput)
example2 <- parseInput "example2"
let exampleOutput = compute example2
when (exampleOutput /= example2ExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show example2ExpectedOutput)
example4 <- parseInput "example4"
let exampleOutput = compute example4
when (exampleOutput /= example4ExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show example4ExpectedOutput)
example5 <- parseInput "example5"
let exampleOutput = compute example5
when (exampleOutput /= example5ExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show example5ExpectedOutput)
example3 <- parseInput "example3"
let exampleOutput = compute example3
when (exampleOutput /= example3ExpectedOutput) (error $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show example3ExpectedOutput)
input <- parseInput "input"
print $ compute input