2024-12 in haskell

8 files changed, 349 insertions, 0 deletions

diff --git a/2024/12-Garden_Groups/example1 b/2024/12-Garden_Groups/example1
new file mode 100644
index 0000000..b41163a
--- /dev/null
+++ b/2024/12-Garden_Groups/example1
@@ -0,0 +1,4 @@
+AAAA
+BBCD
+BBCC
+EEEC
diff --git a/2024/12-Garden_Groups/example2 b/2024/12-Garden_Groups/example2
new file mode 100644
index 0000000..50a7304
--- /dev/null
+++ b/2024/12-Garden_Groups/example2
@@ -0,0 +1,5 @@
+OOOOO
+OXOXO
+OOOOO
+OXOXO
+OOOOO
diff --git a/2024/12-Garden_Groups/example3 b/2024/12-Garden_Groups/example3
new file mode 100644
index 0000000..85b768f
--- /dev/null
+++ b/2024/12-Garden_Groups/example3
@@ -0,0 +1,10 @@
+RRRRIICCFF
+RRRRIICCCF
+VVRRRCCFFF
+VVRCCCJFFF
+VVVVCJJCFE
+VVIVCCJJEE
+VVIIICJJEE
+MIIIIIJJEE
+MIIISIJEEE
+MMMISSJEEE
diff --git a/2024/12-Garden_Groups/example4 b/2024/12-Garden_Groups/example4
new file mode 100644
index 0000000..5818d30
--- /dev/null
+++ b/2024/12-Garden_Groups/example4
@@ -0,0 +1,5 @@
+EEEEE
+EXXXX
+EEEEE
+EXXXX
+EEEEE
diff --git a/2024/12-Garden_Groups/example5 b/2024/12-Garden_Groups/example5
new file mode 100644
index 0000000..f7cd38f
--- /dev/null
+++ b/2024/12-Garden_Groups/example5
@@ -0,0 +1,6 @@
+AAAAAA
+AAABBA
+AAABBA
+ABBAAA
+ABBAAA
+AAAAAA
diff --git a/2024/12-Garden_Groups/first.hs b/2024/12-Garden_Groups/first.hs
new file mode 100644
index 0000000..d163999
--- /dev/null
+++ b/2024/12-Garden_Groups/first.hs
@@ -0,0 +1,80 @@
+-- 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
diff --git a/2024/12-Garden_Groups/input b/2024/12-Garden_Groups/input
new file mode 100644
index 0000000..aad0948
--- /dev/null
+++ b/2024/12-Garden_Groups/input
@@ -0,0 +1,140 @@
+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
diff --git a/2024/12-Garden_Groups/second.hs b/2024/12-Garden_Groups/second.hs
new file mode 100644
index 0000000..98409d6
--- /dev/null
+++ b/2024/12-Garden_Groups/second.hs
@@ -0,0 +1,99 @@
+-- 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