Slow correct

aoc.cabal

@@ -132,6 +132,8 @@ executable 12
     -- other-extensions:
     build-depends:    base ^>=4.18.2.1
                     , split
+                    , matrix
+                    , containers
     hs-source-dirs:   app
     default-language: GHC2021
 executable 13

app/12.hs

@@ -2,14 +2,38 @@
 module Main where
 
 import Data.Functor
+import Data.Matrix hiding (trace)
+import Data.List
+import Debug.Trace
 
-parse = undefined
+parse :: String -> Matrix Char
+parse = fromLists . lines
 
-solve1 = undefined
+getGroup :: (Int,Int) -> Matrix Char -> [(Int,Int)] -> [(Int,Int)]
+getGroup p@(i,j) s v
+  | p `elem` v = v
+  | otherwise = let e = getElem i j s in
+      nub . (p:) $ filter((== Just e) . flip (uncurry safeGet) s) [(i,j+1),(i,j-1),(i+1,j),(i-1,j)] >>= \p' -> getGroup p' s (p:v)
+  where
 
+groups :: Matrix Char -> [[(Int,Int)]]
+groups s = nub $ go [(i,j) | i <- [1 .. nrows s], j <- [1 .. ncols s]] []
+  where go :: [(Int,Int)] -> [[(Int,Int)]] -> [[(Int,Int)]]
+        go [] v = v
+        go (x:xs) v
+          | any (x `elem`) v = go xs v
+          | otherwise = go xs (getGroup x s []:v)
+
+perimeter :: [(Int,Int)] -> Int
+perimeter s = length $ s >>= \(i,j) -> [(i,j+1),(i,j-1),(i+1,j),(i-1,j)] \\ s
+
+solve1 :: Matrix Char -> Int
+solve1 s = let g = groups s; p = perimeter <$> g in sum $ zipWith (*) (length <$> g) p
+
+solve2 :: Matrix Char -> Int
 solve2 = undefined
 
 main :: IO ()
-main = readFile "inputs/12" <&> parse >>= \i ->
+main = readFile "inputs/12.example" <&> parse >>= \i ->
        print (solve1 i) >>
        print (solve2 i)

inputs/12

@@ -0,0 +1,140 @@
+WEEEEEFFFFFFFFFFFTTTTTTTTTTOBBBBQGGGQQQQQQQQQQQQQQQEEGGGGGGGGGGGGGOEMMMMMMMMMMMCMMMIIIIINWWWWWWDDDDDDDDDDDOOOOOOOOOOOOOOOOOXXXXWWWWWWWWWWWWW
+WWEEEEWWFFFFFFFFFFFNNNTTTTOOOBBBQQQGGQQQQQQQQQQQQQEEEEGGGGGGGGGGGGOOOMMMMMMMMMMMMMMIIIINNVNNWWWDDDDDDDDDOOOOOOOOOOOOOOOOOOOXXXXCQWWWWWWWWWWW
+WWWEEEWFFFFFFFFFFFNNNNNNTTOOOOBOQQQQQQQQQQQQQQQQQQEEEEEEGGGGGGGGGXOOOMMMMMMMMMMMMMMMINNNNNNNWWWDDDDDDDDDVQOOOOOOOOOOOOOOOOOXXXXCCCWWWWWWWWWW
+WWWWWWWFFFFFFFFFFFNNNNNNNTOOOOOOUUQQQQQQQQQQQQQQQQEEEEGGGGGGGGGGROOBBMMMMMMMMMMMMMMMINNNNNNNWWDDDDDDDDDDVVVOOOOOOOOOOOOOOOGXXXXCCWWWWWWWWWWW
+WWWWWWWTWFFFFFFFFNNFNNJJNNOOOOOUUUUNNNQQQQQQQQQQEEEEEEEEEGGGGGRGRRRRBMMMMMMMMMMMMMMMNNNNNNNNNNDDDDDDDDVVVVVHOOOOOOOOOOOOOOGGXXXXXWWWWWWWWWWW
+WWWWWWWWWWFFFFGFFFFFFNOOOOOOOOUUUNNNNNQQQQQQQQQQEEEEEEEEGGYGYRRRRRRRBMMMMMMMMMMMMMMNNNNNNNNFFFDDDDDDDDDVUUUUUUUOOOOOOOOOOGGGGXXXXWWWWWWWWWWW
+WWWWWWWWWWWWWGGGFFFFFFOOOOOOOOUNNNNNNNNNQQQQQQQEEEEEEEDGGYYYYRRRRRRRBUUMMMMMMMMMMMMCCNNNNNNFFDDDDDDDDDDDUUUUUUUOOOOOOOORGGGGGGGGGGWWWWWWWWWW
+WWWWWWWWWWWWGGGGGFFFFFOOOOOOONNNNNNNNNNNNNQQQQQEEEEEEEEGGRRRRRRRRRUTUUUUUMMMMMMMMCMCCNNNNNNFFFDDDDDDDDDDUUUUUUUOOOORRORRRRRGGGGGGGGKKKWKWWWW
+WWWWWWWWWWWGGGGGGFFFHFOOOOOONNNNNNNNNNNNNNNNQQQQEEEEEEEEERRRRRRRRRUUUUUUUMMMMMCCMCCCNNNNNNNNNFDDDDDDDDDGUUUUUUURORRRRRRRRGGGGGGGGGGKKKKKWWWW
+WWWWWWWVGGGGGGGGGGGFVFOOOOOOOOONNNNNNNNNNNNNNWWQEEEEUEEERRRCCCCCCCUUUUUUTMIIIMCCCCCCNNNNNNNNNDDDUUDDDRDGUUUUUUURORRRRRRRRRGGGGGGGGGGKKKKKWWW
+WWWWWWWGGGGGGGGGGGHVVBOOOOOOOOOONNNNNNNNNNTTWWHQEEEEUUEERRRCCCCCCCUUUUUUUIIIIMMCCCCNNNNNNNNNHDAANUNNNNNNUUUUUUURRRRRRRRRRRGGGGGGGGGAKKKKKWWW
+WWWWWWWWWGGGGGYYGGVVVBOOOOVVVOOONNNNNNNNNNTWWWTTTEEUUUUURRRCCCCCCCUUUUUUUIIICCCCCCNNNNWWNNNNNNAANUNNNNNNUUUUUUUUUUUUUUUUHGGGGGGGGGGGKKKKKKWW
+WWWWWWWWWGGGGYYYYYVVVBVOOVVVVVNNNNFFNNNNNNTTWWTTTTTUUUUUUURRRRRUUUUUUUUUUIICCCCCCCCCCCCCANNNNNAANNNNNNNNUUUUUUUUUUUUUUUUHGGGGGGGGGGGKKKKKKWW
+WWWWWWWGGGGGGYYYYYVVVVVVQVVVVVNNXXXFFFFNFTTTTTTTTTTUUUUUUURRRRRRUUUUUUUUUIICCCCCCCCCCCCCAAAANNAAANNNNNNGGGGGGRUUUUUUUUUUUUUUUUUGGGGKKKKKKKGG
+WWNWWWWGGGGGGGYYVYVVVVVVVVVVVVVNFFFFFFSFFTTTTTTTTTTUUUUUUURRRRRRWUUUUUUUUUUUCCCCCCCCCCCCAAAAAAAAANNNNNGGGGGRRRUUUUHUUUUUUUUUUUUGGGGKKKKKKKGG
+WWGGGGGGGGGGGGYVVYVVVVVVVVVVVVVVFFFFFFSFFFFTTTTTTFTTUUUUUURRRRRWWUUUUUUUUAAUCCCCCCCCHCCAAAAPPPAAANNNNNVVGRRRRRUUUUHUUUUUUUUUUUUGKKKKKKKKKKKG
+WDDGGGGPGGGGGYYVVVVVVVVVVVVVVVVVVVFFFFFFFTTTTTTTTFFFUUUUUBRRRRRRUUUUUUUUAAAAACCCCTCCMMAAAAPPPPPAANNPPVVVVZRZZZUUUUHUUUUUUUUUUUUKKKKKKKKKKKKG
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+DDDDDDDGDGWWJYJVVVVVVVVVVVVVVVVVHHHHFFFFFFTTTTTFFFFFFUUBBBRRRRRRUUJRUUCUUAAAAAAAAMPCMMAAAAPPPPPAPJVVVVVVVZZZZZZHHHHHHHHHQQUUUUUKKKKKKKKKKKKK
+DDDDDDDDDDJWJJJVVVVVVVVVVVVVVVVVHHHHFFFTFTTTTTFFFFFFFFBBBBBRRRRRRURRUUUAAAAAAAAMMMMCMMMMAAAPPPPPPJVVVVVVVZZZZRZZRHHHHNHHQQUUUUUZKKKKKKKKKKUK
+DDDDDDDDDDJJJJJJJJJVVVVVVVVVVVVVHHHHFFFFHTTTTHTHFFFFBBBBBBBBRRRRRRRRRUUUUAAAAAAMMMMMMMMMPPPPPPPPPVVVVVVVVVVRZRZZRHHNNNDDQQUUUUUKKKKKKKKKKKUU
+DDDDDDDDDDJJJJJJJJJVVQVVOVVVAAHVVHHHFFFFHHHTTHHHHFFRRRRRRRRBBBRRRRRRRRRUAAAANNNMMMMMMMMMYPPPPPPPPVVVVVVVVVVRRRRRRRRNNNDDDDDDDDDDKKKKKUKUUUUU
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+DDDDDDDDDDDDJJJJJJJQQQVVVVVVVVVHHHHHHHHHHHHHHHHHFFFRRRRRRRRBBBBEERRRKKKKNNNNNNNNMMMMMMMPPPPPPPPPPUUVVRRRRRRRRRRRRRRNDDDDDDDDDDDDNKKKNNUUUUUU
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+DDDDDDDDDDDJJJJJJQQQQQQQOOOPPHHOHHHHHHHIHHHHHHHRRRRRRRRRRRRGGEEENNNNNNNNNNNNNNNMMMMMMMMMPPPPPPPPUUUUUUURRRRRRRRRRRSDDDDDDDDDDDDNNNNSNUUUUUUU
+DDDDDDDDDDJJJJJJJQQQQQQOOOOOOOOOHHHHHHHIIHHHHIFRRRRRRRRRRRRRRGEEEEENNNNNNNNNNNNMMMMMMMMPPPPPPPPPUUUUUUURRRRRRYRRRSSDDDDDDDDDDDDNNNNSISSSUUUU
+DDDDDDDDDDJJJJJJJJFFQQQOOJOOOOOOHHHHHHHIIHHIIIFRRRRRRRRRRRRRRGEEEEENNNNNNNNNNNMMMMMMMMMPPPPPPPPUUTTUUUURRLRPRYYYYYDDDDDNNNNNNNDNNNNSSSSSSUUU
+DDDDDDDDDDJJJJJJJJFFQOOBOOOOOOQQHHHHHIIIIHIIIIFRRRRRRRRRRRRRRGEKKEEENNNNNNNNNNNMMMMMMMMMMPPPPPPTTTUUUUURRYRYYYYYYWDDDDDNNNNNNNNNNNSSSSSSUUUU
+KKDDDDDDDDDJJJJJFJFQQOOOOOOOOOOOOHHIIIIIIIIIIIFRRRRRRRRRRRRRKKKKEEEENNNNNNNNNNNMMMMMQMMMMZPPPPPTTTUUUUUUUYYYYYYYYNNDDDNNNNNNNNNNNSSSSSSSSUUU
+KDDDDDDDDDDDDKFFFFFFHHHHHHHHHOOODIHHIIIIIIIIIIFRRRRRRRRRRRRRRRRRRKENNNNNNNNNNNNMMMMMQXMMMZZPZTTTTTTUUUYUUYYYYYYYYYNNNNNNNNNNNNNNSSSSSSSSSSUU
+KDDKDDKKKDDDKKFFFFFFHHHHHHHHHOOOIIIIIIIIIIIIIIIRRRRRRRRRRRMRRRRRRKKNNNNNNNNNNNNMMMMMQXMMMZZZZZTTTTTTUUYYYYYYYYYYYYNNNNNNNNNNNNNSSSSSSSSSSSUU
+KDDKKKKKKKKKKFFFFFFFHHHHHHHHHOOOZIIIIIIIIIIIIMMEERRRRRRRRRMRRRRRRKKKKNNNNNNNNNNMGQQQQQQZMZZZZZTTTTLILLLYQYYYYYYYYNNNNNNNNNNNNNNNSSSSSSSSSSUU
+KKKKKKKKKKCCFFFFFFFFHHHHHHHHHOOOZZIIIIIIIIIIMMMEERRRRRRRRRKKKKKKKKKKNNNNNNNNNCMMGGQQQQQZZZZZZZTTTLLLLLLYYYYYYYYYYYNNNNNNNNNNSNSSSSSSSSSSSUUU
+NNKKKCCKKKCCFFFFFFOOHHHHHHHHHOOOZZZIZZXIIIIMMMMMMRRRRRRRRRKJKKKKKKKKKNNNCUNNNNNGGQQQQQZZZZZZZZZTTLLLLLLJYYYYYYYYYYNNNNNNNNNSSSSSSSSSHSSSSUUU
+NNNKKCCCKKCFFFFFFFFFHHHHHHHHHOOOZZZZZZZCIICMMMMMMMMMMMMMJJJJJKKKKKKKKKKKCCCNNNNNQQQQQZZZZZZZZZTTTTLLLLLLLHHHYYYYYYYYYNNNNNNNNSSSSSSSSSUUUUUU
+NNNCCCCCKCCCFFFFFFFFHHHHHHHHHOZZZZZZZZZCCCCMMMMMMMMMMMJJJJJJJJKKKKKKKKKKKCCCCNNCCCQCZZZZZZZZZZZZTTTLLLUHHHHHYYYYYYYYYNNNNNNNPPPSSSSSSSUUUUUU
+NNEECCCCCCCCSFFFFFFFHHHHHHHHHOZZZZZZZWZCCCMMMMMMMMMMMJJJJJJJJJJJKKKKKKKKYCCCCCCCCCQCZZZZZZZZZZZZZTTTUUUUHHHHYYYYYYYYYNNUNNNNNGGGSGSSSSUUUUUU
+NNEECCCCCCCCFFFFFGFFGVVOZZZZZZZZZZZZZZCCCCCMMMMMMMMMMMJJJJJJJJJJKKKKKKKKKATTTTCCCCQCCZZZZZZZZZZZZTKKUHUUHHHHHYYYYYYYYNNDZNNGGGGGQGGGGGGUUUUU
+NNCCCCCCCCCPCFFFFGGFGVGZZZZZZZZZZZVZZZZZCCCMMMMMMMMMJJJJJJJJJJJJKKKKKKKKKATTTCCCCCCCCZZZZZZZZZZZTTKKUHHHHHHHHHYYYYYYYYYDZZZGGGGGGGGGGGGUUUUU
+NCCCCCCCCCCCCFFFFGGFGGGZZZZZZZZVVVVVZZVCCCCCMYYYYYYYJJJJJJJJJJJDKKKKKKKKKTTTTTTCTTCCCCCZZZZZZZZZZTKKKKHHHHHHHHHHHYPYYYDDZGGGGGGGGGGGGGGGUUUU
+NCCCCCCCCCCCGGFFGGGFGGZZZZPPZVVVVVVVVCVCCCCCCYYYYYYYGJJJJJJJJJJDKKKKKKKKKTTTTTRTTTCCCCCZCZZZZZZZZZKKKKKHHHHHHHHPPPPPYDUDDGGGGGGGGGGGGGGGUUUU
+NNNCCCCCCCCCGGGGGGGGGGGZZZPPPVVVVVVVVVVVCCCHCCCYYYYYJJJJJJJJJJJJKKKKKKKKGTTTTTTTTCCCCCCCCZZZZZZZKKKKKKKHHHHHHHHHPPDDDDDDTGGGGGGGGGGGGRRGUUUU
+NNNNCCCCCCCGGGGGGGGGGGGZZPPPPSVVVVVVVVVVHHHHCCCYYYYYJJJJJJJJJJJJJKKKDDKKGTTTTTTTTTTTTCCKKUZZZZZZKKKKKKKHHHHHLHHHPPPDDDDTTGGGGGGGGGGGGRRRUUUU
+NNNNNCCCGGGGGGGGGGGGGGGGGPPPPSVVVVVVVVVXHHHHCCCYYYYYADDDJJJJJJJJJJKKDDDTTTTTTTTTTTTTTTTTKKKKKKKKKKKKKKKDDELLHHHHPPPPPDTTTTGGGGGGGGGGGRRRRUUU
+NNNNNNCCGGGGGTTTGGGGGGGGPPPPPSVVVVVVVVVYYYYYYYYYCYEEAAADJJJJJJJZJJJKKKDTTTTTTTTTTTTTTTTKKKKKKKKKKKKKEEKDEEELLHPPPPPNPDTTTTGGTGGRRGGGRRRRUURR
+NNNNNNCCCTTTTTTTTTGGPPPGGPPGGGVVVVVVVVHYYYYYYYYYCCAAAAAAJJJJJJJTTTJKKKTTTTTTTTTTTTTTTTTWKKKKKKKKKKEEEEEEEECELLPPPNNNNNNTTTTTTTGRRRRRRRRRRRRR
+NNNNNNNNCTTTTTTTTGGPPPGGPPPGGVVVVVVVHHHYYYYYYYYYAAAAAAAQQQJJJJJTTTKKKKTTTTTTTTTTTTTTTTTTKKKKKKKKKKKEMEEEEEEEEPPPNNNNNNTTTTTTTGGRRRROORRRRRRR
+NNNNNNNNNTTTTTTTTPPPPPPPPPGGGGVVVHHYYYYYYYYYYYYYAAAAAAAQQQJJJRJTTTTTTTTTTTTTTTTTTTTTTTKKKKKKKKKKKKKKKQEEEEEEEEFFNHNNNNNNNTTTTTOROOOOOOORRRRR
+NNNNNNNNGITTTTTTPPPPPPPPPPGGGGGHHHHYYYYYYYYYYYYYAAAAAEAAQQQQQQTTTTTTTTTTTTTTTTTTTTTFTTKKKFKKFKLKKKKKKQEQQEEKKFFNNNNNNNNNNNNTTOOROOOOOGGORRRR
+NNNNNNNGGTTTTTIPPPPFFFPPFGGGGGGGYYYYYYYYYYHHHAAAAAAAAAAAQQQQQQQTTTTTTTTTTJJJJJJJJTTFFFFFFFFFFKKKWNNQQQQQQGKKFFFNNNNNNNNNNNNTTOOOOOOOOOGORRRR
+NNNNNNNGGGGGGGIIFPFFFFFFFGGGGGGGYYYYYYYYYYHHLAAAAAAAAAALQQQQQQQTTTTTTTTTTJJJJJJJJGTFFFFFFFFFFFFKNNNNQQQQQGGKKFNNNNNNNNNNONNTOOOOOOOOOOOOORRR
+NNNNGNGGGGGGGGIIFFFFFFFFFGGGGGGGYYYYYYYYYYHHAAAAAAALLLLLLYQQQQQTTJJJJJJJJJJJJJJJJGFFFFFFFFFFFFFFNNNNNNQGGGGGGGQGNNNNNNNNNNHHHOOOOOOOOOOOORRR
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+NNNGGGGGGGGGGGGGIFFFFFFFFFCGGGGGYYYYYYYYYHHHANANNAALLLLLLYYQQQQJJJJJJJJJJJJJJJJJJFFFFFFFFFFFFFFFNNNNNQQQQQQQQQQGVNNNNNNNNHHHHOOOOOOOOOIIRRII
+NNGGGGGGGGGGGGQQFFFFFFFFFFGGGGGPPGGHHLTTEHHNNNNNNCALLLLAAYYQAQWJJJJJJJJJJJJJJJJJJWFFFFFFFFFFFFFFFNNNNQQQQQQQQQQGGIINDNNNNNPPPPOOOOOOOOIIIIII
+NNGGGGGGGGGGGGQQKKFFFFFFFFFUGPPPPGGHITTTTTTNNNNNNNKLLLLLAYYYQQWJJJJJJJJJJJJJJJJJJWFFFFFFFFFFFFFFRFFNNQQQQQQQQQQGGIIINNNNNNPPPPFOOOOOOOIIIIII
+NNNGGGGGGGGGGQQKIKFFFFFFFFPPPPPPPPPPIJJJJJNNNNNNNWLLLLLAJJJJJJJJJJJJJJJJJJJJJJJJJWWFZFFFFFFFFFFFFFRRRQQQQQQQQQQQIIIINNNNPPPPPFFOOOOOOOIIIIII
+NNNGGGGGGGGGGGKKKKFFFFFFFFFPPPPPPPPPIJJJTTNNNNNNLLLLLLAAJJJJJJJJJJJJJJJJJJJJJJJJJWWPPPPFFPFFFFFFFRRRRQQQQQQQQQQQIIIINNNPPPPPPPAOOOOODIIIIIII
+NNGGGGGGGGGGGGKKKKKKFFFFFFFPPPPPPPPPPJJJTTTNNNNAAAAAAAAAJJJJJJJJJJJJJJJJJJJJJJJJJWWPPPPPPPFFFFRFFRRRRQQQQQQQQQQQYIYIINNNPPPPPPAOOOOODIIIIIII
+GGGGGGGIGXGKKGKKKKKFFFFFFFUUUUPPPPPPJJJJJJJNNNAAAAAAAAAAJJJJJJJJJJJJJJJJJJJWWWQWWWWPPPPPPKKFFNRRRRRRRQQQQQQQQQQQYYYYYYPPPPPPPPAAAAAIIIIIIIII
+XGGGGGGGGXXKKKKKKKKFFFFFUUUUUPPPPPPPJJJJJJJNNOAAAAAAAAAAJJJJJJJJJJJJJJJJJJJWWWQWWWPPPPPPPKKVVVRRRRRRRRMMMRYYYRYYYYYYYPPPPPPPPAAAAAAIIIIIIIII
+XGXXXXXXXXKKKKKKKKKBBFBBPPPPPPPPPJJJJJJJJJIOOOAAAAAAAAAAJJJJJJJJGVJJJJJJJWEEEQQWWPPPPPPPPPPVVVVVVRRRRMMMMRRYYYYYYYYYYYYPPPPPPAAAAAAIIIIIIIII
+XXXXXXXXXXKKKKKKKKBBBBBBBBBBBBCJJJJJJJJJJJOOOOOOOAAAAAAAJJJJJJJJGVJJEEEEEEEEEQQWWWPPPPPPFPVVVVVVVQVVRRMMRRRRYYYYYYYYYYYTPPPPAAAAAAAAAIIIIIII
+XXXXXXPXKKKKKKKKKKKBBBBBBBBBCBCJJJJJJJJOOOWWOOOOOAAAAAAGJJJJJJJJGJJJEEEEEEEEEEEEEEPPPPPVVVVVVVVVQQVVRRMRRRRRRRYYYYYYYYYYAAAAAAAAAAAAAIIIIIII
+XXSXPPPPPKKKKKKKKBBBBBBBBBBBCBCJJJJJJJJOOOOWOOOOOOOAAGAGJJJJJJJJGJJLEEEEEEEEEEEEEEPPPPPVVVVVVVVVVVVVRRRRRRRRRRYYYYYYYYWWAAAAAAAAAAAAAAIIIEIE
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+JJJJJDDWWWWNNNTTTNNNNNNNNNBBBBBBBVVVVVVDXXXXWWWWWBBOOOTTMMMMMMMMMMMMMMMMBBEEEEBBBBQQQQQQOOTTTTTTTTKKKKKKKKKKKKKKKKKKKXXXXXIIIIIHHHOOOOOOOOOO
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+JUWWWWWWWWWWWNNNNNNNNNNNNNNBBBBBBJVVVVVDXXXXXXXXWOOOOOMMMMMMMMMMMBBBBBBBBBEEEEBBQQQQQPQPTTTTTTTTTKKKKKKKKKKKKKKKKKKKKXPPPPIIIIPHHHOOOOOOOOOO
+UUUWWWWWWWWWWWWWWWNNNNGGNNGBBBBBBJVVVJXXXXXXXXOOOOOOOOGGMMMMMMMBBBBBBBBBBBEEEEBMQTTPPPQPPTTTTTTTTTKVVVVVVVVVVVVVKKKKKPPPPPZZIPPHHHOOOOOOOOOO
+UUUWWWWWWWWWWWWWWWNNNGGGGGGGGBBBBJJJJJJXXXXXXOOOOOOOOOOGMVMMMMMBBBBBBBBBBBEEEEBBBTTTTPPPTTTTTTTTTTKVVVVVVVVVVVVVKKKKKNPPPPPPEEEHHHOOOOOOOOMO
+UUUWWWWWWWWWWWWWWNNNNGGGGGGGGBBBBJJJJJJJXXXXXOEOOOOOOOOOOMMMMMMMCCCCBBBBBBBBBBBAAATTTTTPTTTTTTTTTKKVVVVVVVVVVVVVKKKPCPPPPPPPPEEHHHOOOOOOOOMM
+UUUWWWWWWWWWWWXXNNNNGGGGGGGGGBBBBJJJJJJXXXXXXOOOOOOOOOOOMMMMMMCCCICCBBBBBBBBBBBTTTSSSSSSSSSZTTTTTUUVVVVVVVVVVVVVKPPPPPPPPPPPNNEHHHFFOFOOOMMM
+UUUWWWWWWWWWWWXNNNNGGGGGGGGGGJJJJJJJJJJJXXXXXXXOOOOOOOOOMFMMIIIICIIIIBBBBBBBYBLTTTSSSSSSSSSTTUTXUUUVVVVVVVVVVVVVKPPPPPPPPPPNNNNNPPFFFFFOMMMM
+UUUUWWWWWWWWWWXNNNNNGGGGGGGGGJJJJJJJJXXXXXXXXXZQOOOOOOVOFFFMIIIIIIIIIIBBBBBBBBTTTTSSSSSSSSSUUUTUUUUVVVVVVVVVVVVVKPPPPPPPPPPPNNNNNNFFFFFQMMMM
+UUUWWWWWWWWWWXXXXXGGGGGGGGGGGGGJJJJJJJJXXXXXXXZZOOOOOOOIIIMMIIIIIIIIIIBBBBBBWBTTTTSSSSSSSSSUUVVVVVVVVVVVVVVVVVVVKPPPPPPPPPPPNNNNNFFFFFQQQMMM
+UUUUWWWWWWWZWWXNXXXXGGGGGGGGGGJJJJJJJJXXXXXXZZZZDDDOOOOIIIIIIIIIIIIIIIBGFFBBWTTTTTSSSSSSSSSUUVVVVVVVVVVVVVVVVAAKKPPPPPPPPPPNNNNNNNNQQQQQQMMM
+UUWWWWWWWUUWWNNNNXXXGGGGGGGGJJJJJJJJJJJXXZZZZZZZZDDZOOHBIIIIIIIIIIIIIGGGGBBBWTTTTTSSSSSSSSSUUVVVVVVVVVVVVVVVVAAKKPPPPPPPPPPNNNNNNNNNQQQQQMQQ
+UUWWWUUWUUNNWNNNNXXGGGGGGGGGJJJJJJJJJJXXXXZZZZZZZZZZKKHIIIIIIIIIIIIIIGGGGGBBWTTTTTSSSSSSSSSUUVVVVVVVVVVVVVVVVAAAKKKPPPPPPPPPPPNNNNSSSQQQQQQQ
+UUWWUUUUUNNNNNNNRRXXGFGGGGGJJJJJJJJJJJJXXXZZZZZZZZZKKKHHIIIIIPIIIIIIWGGGGGGBBTTTTLSSSSSSSSSSUVVVVVVVVUUUUVAAAAAAAKKPPPPPPPPPPPNNNSSSSQQQQQQK
+UUUWUNNNNNNNNNNRRBRRGFGGGGGJFJJJJJJJJJJXXXZHHZZZKZZKKKHHIIIIPPPPIIIIIGGGGGGGGTTTLLSSSSSSSSSSAVVVVVVVVUUUUVAAAAAKKKKPPBBBBPPPPPSNSSSQQQQQQQQK
+UUUUUNNNNNNNNNNRRRRRFFGGGGGJFFFJJJJJJJJJXOHHZZZKKKKKHHHHHIIIPPPPIGGGGGGGGGGGGGTTTLLAAAAASSSSAAAUUUUUUUUUUUAAAAAAAKKKBBBBBBPPPSSSSSSSSSQKQQQK
+UUUUUUUNNNNNNNNNRRRRFFGGFFGFFFFFFJJJJJOOOOHOCZKKKKKHHHHHHIIIPPPPPGGGGGGGGGGGGGTTTTAAAAAASSSSAAAUUUUUUUUUAAAAAAAAAKKKBBBBBBBBBSBSSSSSSDDKKQQK
+UUUUUUUUNNNNNNNRRRRRFFGFFFFFFFFFFFJJJJOOOOHOOKKKKKKKHHHHHHHHCCPPGGGGGGGGGGGBBBBBBBAAAAAASSSSAAAUUUUUUUUAAAAAAAAAAABBBBBBBBBBBBBSBSSSSDDDKKKK
+UUUUUUUUUUNNNNRRRRRFFFGFFFFFFFFFFFJJJOOOOOOOOKKKKKHHHHHHHHHHCHPPPGGGGGGGGGGBBBBBBBAAAAAAAAAAAAAAUUUUJJUAAAAAAAAAAFFBBBBBBBBBBBBBBBDDDDDKKDDK
+UUUUUUUUUUNNNRRRRRRRRFFFFFFFFFFKJJJJJJOOOOOOOOKKZZHHHHHHHHHHHHYPZGGGGGGGGGGBBBBBBBAAAAAAAAAAAAAUUUUUUUUAAAAAAAAAAABBBBBBBBBBBBWBBBWDDDDKKDDK
+UUUUUUUUUUNBNRRRRRRRRRFRFFFFKKKKKKKOOOOOOOOOOKKKZZHHHHHHHHHHHHYZZYGGGYYGGYGGGGGGAAAAAAAAAAAAQQQUUUUUZAAAAAAAAAAABBBBBBBBBBBBYSWWWBWDDDDKDDKK
+UUUUUUUUUUNBNURRRRRRRRRRKFKKVKKKKKYYOOOOOOOOOOZZZZZZHHHHHHHHHHYYYYYYYYYYYYGGGGGGGAAAAAAAAAQQQQQQQQULZAAAAAAAAAAAABBBBBBBBBBBYSSSWWWWWDDDDDKK
+DDDDUUUUUUNBBBRRRRRRRRRPKKKKKKKKKKYKOOOOOOOOZZZZZZZZZHHZHHHHHHYYXXXYYYYYYYYGGGGGGAAAAAAAAQQQQQQQQQUUZAAAAAAAAAAAABBBBBBBBBBBYYSSSWWWDDDDDDPP
+DDDDDDDUUUBBBBRRRRRRRRKKKKKKKKKKKKKKVOOOOOOOOZZZZZZZZHZZHHHHHYGYXYYYYYYYYWWWWCJCAAAQQQAAQQQQQQQQQUUZZZZZAAAAAAAAABBBBBBBBBBYYSSSSSWZDDDPDDPP
+DDDDDDDDDBBBBBBRRRRRHKKKKKKKKKKKKKKKOOOOOOOOOOZZZZZZZZZZZHHQQYYYYYYYYYYYYYYWCCCCCAAQQWQQQQQQQQQQQZZZZZZZAAAAAAAAHBALLOBBRBBBSSSSZZZZDDDPPPPP
+DDDDDDDDDDBBBBBLLNRRNNNKKKKKKKKKKKKKOOOOOOOOOOZZZZZZZZZZZZZQQQQQQYYYYYYYYYYYCCCCCMQQQQQQQQQQQQQQQZZZZZZZZZZZAAAAAAAALOORRBRRSSSSZZZZZDDDPPPP
+DDDDDDDDDDDBUBBLLNRRNNNKKKKKKKKKKKKKOOOOOOOOOOOZZZZZZZZZZZQQQQQQYYYYYYYYYYYYCCCCCCQQQQQQQQQQQQQQQQQZZZZZZZZZZAAAAOOOOOORRRRRSSSZZZZZZZDPPPPP
+DDDDDDDDDDDFBBQLNNNNNNKKKKKKKKKKKKKFFFOOOOOOOZZZZZZZZZZZZZZQQQQYYYYYYYYYYYYYNYCCCCQJQQQQQQQQQQQQQPZZZZZZZZAZZJAOOOOOOOOZZRRRRSSZZZZZZZZZPPPP
+DDDDDDDDDDDDNLLLNNNNVVKKKKKKKKKKKFFFFAOOOOOOOOZZZZZZZZZZZQQQQQQYYYYYYYYYYYYYYYCCCCCJQQQQQQQQQQQQQQSZZZZEZEAOOOOOOOOOOOARRRRSSSZZZZZZZZZPPPPP
+DDDDDDDDDDDNNNLNNNNNNNKKKKKKKKKKFFFFFOOOOOOOOOZZZZZZZZZZZZZQQQQQYYYYYYYYYYYLYCCCCCPJQQQQQQQQQQQQQJZZEEEEEEAAOOOOOOOOOOOREEESSHHZZZZZZZPPPPPP
+DDDDDDDDDDDNNNNNNNNNNNNKKKKKKKKKKFFFFFFFFOOOOOZZZZZZZZZZUUZQQQQYYJYYJJLYYLLLCCCCCCPPQQQQQQQQQQQQQJJTTREEEEAAAOOOOOOOOOOOEEESSHHZZZZZZZPPPPPP
+DDDDDDDDDDNNNNNNNNNNNNOKKKKKKKKKFFFFFFFFDOOOOOOOHZZZZZZZUUQQQQUYYJJJJJLLLLLLLLLCPPPPPPPQQQQQQQQQQTTTTTTEEEEAAAOOOOOOOOOOOEEYSHHHZZZZZZPPPPPP
+DDDDDDDDDDNNNNNNNNNNNNNKWWKKKKFFFFFFFFFFFFFOOOOOZZZZZZZUUUUUUQUUQJJJJLLLLLLLLCCCCPPPPPPPPQQQQQQQUTTTTTEEEEEAAAAAAOOOOOOOOEEYSXPBZZZZPPPPPPPP
+DDMDDDDDDDNNNNNNNNNNNNNNWKKKKFFFFFFFFFFFFFFFOOOOZZZZZUUUUUUUUUUUQQQJJLLLLLLLLLCCCCPPPPPPPQQPQPGGGTGTTTEEEEEAAAXAAAOOOOOBOEYYPPPPPPPPPPPPPPPP
+DWDDDDDDDDNNNNNNNNNNNNNFUUUQQFFFFFFFFFFFFFFFOOFZZZKKKKKKKUUUUUUUQQQQQCLLLLLLCCCCCPPPPPPPPPPPMGGGGGGGTTGJJJJAAAAAAAAAAGOOOEYYYXPPPPPPPPPPPPPP
+WWDDDDDDDNNNNNNINNNNNNNNUULDQFFFFFFFFFFFFFFFONZZZZKKKKKKKUUUUUUUQQQCQCLCCLCCCCCCCCPPPPPPPPJPMGGGGGGGGGGGGJJJJJAAAAAAAAAZYYYYYYPPPPPPPPEPPPPP
+WWDDDDDDDNNNINIIINNNNNNNUULDDEFFFFFFFFFFFFFFFFOOOONNNKKKKUUUUUUUQQQCCCCCCCCCCCCCCPPPPPPPPPJPMMMGGGGGGGGGGJJJJAAAAAAAAAYZYYYYYPPPPPPPPPEEPPPP
+WYYDDDDDUIIIIIIIIINNNNNUUUDDDFFFDFFFFFFFFFFCFOOONNNNKKKUUUUUUUUUQQQCCCCCCCCCCCCCCCPPPPPPPPPPMMMMMMGGGGGGGJJJAAAAAAAAAAYYYYYYYYYPPPPPPEEEPPPP
+YYYUUDDUUIIIIIIIIINNNNUUUDDDDDDDDFFFFFFFFNNNNMMMMMMMMMKUUUUUUUUQQQQQQCCCCCCCCCCCCPPPPPPPPPPPMMMMMMMGGGGXJJJAAAAAAAAAAAYYYYYYYYYYMMPPEEEEEPPP
+YYUUUUUUUIIIIIIIIIIUNNUUDDDDDDDDFFFFFFFFNNNNNMMMMMMMMMKKKUUUBUQQQQQQQQCCCCCCCCCCCPPPPPPPPPPPMMMMMMMGGGNXMMJJAMAAAAAAAAAYYYYYYYYYYYPPEIEEEPPP
+YYYUUUUUUUIIIIIIIIIUUUUUDDDDDDDDFFFFFFFFNNNNNMMMMMMMMMMKKWKUBUUQQQQQQQQCCCCCCHHCCPPPPPPPPMMMMMMMMMMMXXXXMMMMMMAAAAAADAAYYYYYYYYYYYPYEEEEEPPP
+YYUUUUUUIIIIIIIGUUUUUUUUUUDDFFFFFFFFFFFNNNNNNMMMMMMMMMMKKKKXKKKKQQQQQQQCCCCCHHHCCPPPPPPPNNMMMMMMMMXXXXXXMMMMMMAAAAAAAAYYYYYYYYYYYYYYYYEEEEPP
+YYYYUUUIIIIIIIIIIIUUUUUUUUUUUFFFFFFFFFNNNNNNNMMMMMMMMMMKKKKKKKQQQQQQQQQCCCHHHHHHHPPNNPNNNNMMMMMMMXXXXXXXXMMMMMMMAAGDDAAYYYYYYYYYYYYYYYEEEEPP
+UYUYYUUIIIIIIIUUIUUUUUUUUUUUUUUUFFFFFFNNNNTTTMMMMMMMMMMKKKKKKKLQQQQQQQQCCHHHHHHHHNNNNNNNNNMMMMMMMXXXXXXXXMMMMMMMMAMDDDDDDYYYYYYYYYYYYEEEEEEE
+UYUUUUIIIIIIIIIUUUUUUUUUUUUUUUUUFFFFFFNTTTTTTMMMMMMMMMMKKKKKKKQQQQQGGGQQHHHHHHHHHNNNNNNNNNMMMMMMMXXXXXXXXXMMMMMMMMMDDDDDDDYYYYYYYYYYYEEEEBEA
+UYUUUUUIIIIIIIIUUUUUUUUUUUIUPIUUFFFFNNNTTTTTTMMMMMMMMMMKKKKKWWQQQQQQQGQQTTHHHHHHHNNNNNNNNMMMMMMMXXXXXXXXXXXMMMMMDDDDDDDDJDYYYYYYYYYYYYEEEEEA
+UUUUUUUIIIIIIIUUUUUUUUUUUUIIIIFFFFFFFNNTTTTTTTNNNMMMMMMKKKKKKWQQQQQQQQTTTTHHHHHHHHNNNNNNNMRRRMMMMXXXXXXXXXXMMMMMMMDDDDDDDDDDDYYYYYYYYGEEAAEA
+UUUUPUUIIIIIIIIIUUUUIIIUIIIIIIIFFFFFFNBBNNTTTTNNNMMMMMMKKKKWWWWQQQQQQQQTTHHHHHHHHHHNNNNNNRRRRRMMMMMXXXXXXXMMMMMMMMMDDDDDDDDCYYXYYYYNYGEGGAAA
+UPPUPUPIIDIIIIIIUUUUIIIIIIIITTIFNNFJJJBBBNTTTTNUUMMMMMKKKKKWWWWQQQQQQQQTTTHHHHHHHHHNNNNNNRRRRRRRSSSSSXXXXXMMMMMMMMMDDDDDDDZNNYXNYYNNNGGGGGGG
+PPPUPPPPPIIIIUUUUUUIIIIIIIIIITTNNNNJJAEBBNTTTTUUKKKKKKKKKKWWWWQQRQTQQQTTTHHHHHHHHHHNNNNNCRRRRRRRRLSSSXXXOXMMMMMMMMMMDDVVDDZNNNNNNYNNNGGGGGGI
+PPPPPPPPPPIUUUUUUUUIIIIIIIIINTNNNNREEEENNNNWNUUUUUKKKKKKKKWWWQQRRTTTQQTTTTHHHHHHAAHNNNNNRRRRRRRSSSSSSSXXOOMOOMMMMMMMDDRVVZZZZNNNNNNNRGGGGGGG
+PPPPPPPPPPPPUUUUUUIIIIIIIIIINTTNNNRRREEEEJNNBUUUUUKKKKKKEERRRRRRRTBTTTTTTTTHHAAHAAHNNNNDRRRRRRRSSSSSSSOOOOOOOOMMMMMMMMVVVZZZNNNNNNNNNNGGGGGG
+EEPPPPPPPUUUUUUUIIIIIIIIIINNNNNNNNRRREEYYEINBBBUBBKKKKKKEERRRRRRTTTTTTTTTTHHHHAAAAHNNNNDBRRRRRSSSSSSSSSSOOOOOMMMMMMMMVVVVZNNNNNNNNNNNGGGGGGG
+EGGGGGGPPPUUUUUUUIIIIIIIIINNNNNNNNNRRREEEEIIIBBBBBCKKEEEERRRRRRRTTTJTTTTTTHHTHAAAAANNNDDDDJRRSSSSSSSMMMMOOOOOMMMMMMMVVVVVNNNNNNNNNNNNNGGGGGG
+EGGGGGGGGPPUUUUUUIIIIIIIINNNNNNNNNNEEEEEEEIIBBBBBBBEEEEEEERRRRTTTTTJTTTTTTTTTHAEAANNNNDSSSSRRSSSSSSSSMGMMMGGMMMMMMMMVVVVVNNNNNNNNNNNNGGGGGGG
+EGGGGGGGDPPUUUUUUIIIIIIINNNNNNNNNNNNEEEEEEBBBBBBBBBEEEEEEEEERTTTTTTTTTTTTTTTTEEEEEEUUUUUSSSRSSSSSSSSSGGGGGGGMMMMMVVVVVVVVNNNNNNNNNNNNGGGGGGG
+EGGGGGGGGPPUUUUUUIIIIIIINNNNNNNNNNNNNEEEEGGBBBBBBBBBBEEEEEEEETTTTTTTTTTTTTTTTTEEEEEEUUUUSSSSSSSSSSSGGGGGGGGGGMMMMVVMMVVVMMNNNNNNNNNNNNNGGGGG
+EEGGGGGGGGPUOUUUUFFIIIINNNNNNNNNNNNNEEEEEEBBBBBBBBBBBBBBEEEEETTTTTTTTTTTTTTTTTTEEEEUUUUFFSSSSKKSSSGGGGGGGGGGMMMMMMMMMVVVMMNNNNNNNNNNNNNGGGGG
+GGGGGGGGGGGGOUUUFFFIIIIINNNNNNNNNNNNEEEEEBBBBBBBBBBBBBBBEEEEEEEETTTTTTTTTTTTTTTTEUUUUUUFFSSKKKKSSSSGGGGGGGGGGMMMMMMMMVVVMMMNNNNNNNNNGGGGGGGG
+GGGGGGGGGGOGOOUOOFIIIIFFNNNNNNNNNNNEEEEEEEEEBBBBBBBBBBBBEEEEEEEETTTTTTTTTTTTTTTTEUUUUUUFFFKKKKKKSSSSSGGGGGGGGGMMMMMMMMMMMMNNNNNNNNNNSGGGGFGG
+VGGGGGGGGGOOOOOOOFFFFFFFNNNNNNNNNNNNNEEEEEEEEBBBBBBBBBBBEEEEEEEEEETTTTTTTTTTTTTEEEUUUUUFXXKKKKKKKSSSSGGGNGGGJGMMMMMMMMMMMMNNNNNNNJNNSSGFFFGG