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2024/day-12/input

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+AAAAARRRRRRRRRRROOOOOOOOOOOOWWWWWWWWWWWWWMMMMXXQQQQQQQWWWXXXXXXXXQQQQQQQQQQQQQQQQQQQDDDDDDBBBBBBBBBBBBBBBBBRRRRRRRRRRREEEEEEEEEEEEEJJJJJJJJJ
+AAAAARRRRRRRROOROOOOOOOOOOWWWWWWWWWWWWWWWWWMMMMQQQQQQQQWXXXXXXXXXQQQQXQQQQQQQQQQQQQQDDDDDDBBBBBBBBBBBBBBBBBRRRRRRRREEEEEEEEEEEEEZEJJJJJJJJJJ
+OAAAARRRRRRRRROOOOOOOOOOOWWWWWWWWWWWWWWWWWWMMMMQQQQJQQQWXXXXXXXXXXXXXXXQQQQQQQQQQQQQDDDDDBBBBBBBBBBBBBBBBBBRZRRRRRRRREEEEEEEEEEEJJJJJJJJJJJJ
+AAAAARRRRRRRRYHOOOOOOOOOOWWWWWWWWWWWWWWWWWWMMMMMMQQQQQQXXXXXXXXXXXXXXXXQQQQQQQQQQQQQDDDDDBBBBBBBBBBBBBBBBBBZZRRRRRRREEEEEEEEEEEEJJJJJJJJJJJJ
+AAAARRRRRRRYYYOOOOOOOOOOOOWWWWWWWWWWWWWWWWLMMMMMQQQQQQQQXXXXXXXXXXXXXXQQQQQQQQQQQQQDDDDDDDDBBBBBBBBBBBBBBBZZZZRRRRREEEEEEEEEEEEEJJJJJJJJJJJJ
+AAAARRRRRRYYYVOOOOOOOOOOWWWWWWWWWWWWWWWWWWWWGGQQQQQQQQQQQXXXXCCXXXXXIIQQQQQQQQQQQYYEEDDDDDDBBUBBBBNBBBBBBBZZZZRRRREEEEEEEEEEEEEEEEJJJJJJJJJJ
+AAAARRRRRRYYYOOVOOOOOOOWWWWWWWWWWWWWWWWWWWWWGVQQQQQQQQQQQXXCXCCXIIIIIQQQQQQQQQQQYYEEDDYDDDHBBBBBHHBBBUBBBJZZZRRRRRREEEEEEEEEEEEEEEJJJJJJJJJJ
+AAARRRRRYYYYYYYVPOOOOOOOOOOWYYWWWWWWWWWWWWWWGVVQQQQQQQQQHHHCCCCCIIIIIQQQQQQQQQQYYYYYYYYDHHHHHHHHHBBBBBBBYJZZZZZRRREEEEEEEEEGGEEEDDDJJJJJJJJJ
+RAAARRRYYYYYYYPPPOPOOOOOOOOOYYYYWYWPWWWWSVVVVVVVQQQQQQQQHHHHHHNIIIIIIQQQIQQQQQJJJYYYYYYDHHHHHHHHBBBBBBBBBJJJJZRRRRRREEEEEEEGGEEEKKDKJJJJJJJJ
+RRRRRMRYYYYYYUPPPPPOOOOOOOOXXXYYYYYPPWWWPPVVVVVVVVQQQHHHHHHHNHNIIIIIIIIIIQQJJJJJJYYYYYYYYHHYHHHHHBBBBBBJBJJJJZRRREEEEEEEEEEGGEEEKKKKJJJJJJJJ
+RRRMMMYYYYYYYPPPPAPOOOOOOHXXXXYXYYYPPWPPPPVVVVVVVQHHHHCHHHHNNNNNNIIIIIIVJJJJJJJJJYYYYYYYYYYYYHHHHHHJJJJJJJJJJRRRRREXEEEEEEGGGGGGKKKKJJJJJJEG
+RRRMMMMYYYYYYPPPPOOOOOOOOXXXXXXXXXPPPPPPPPPVVVVVVVVVHHHHHHBNNNNNNNIIIIIVJJJJJJJJJYYYYYYYYYYAYAAHHAAAJJJJJJJJJEERRREEEEGGGGGGGGGGRRKKKJJJEJEE
+RRRMMMMMMYYYMMMPPOOOOOOBBXXXXXXNPPPPPPPPPPPVVVVVVDPPPHHHHHNNNNNNNNIIIIIVJJJJJJJJJYYYYYYYYYYAYAAHHAAJJJJJJJJEJXEERRRREGGGGGGGGGGGRRKKGGEJEEEE
+RRMMMMMMYYMMMMMPMMOOOOWWXXXXXXXXKKKKKPGPPPPPPPPPPPPPPPPHHHENENNNNNIIIIIJJJJJJJJJJYYYYYYYYYAAAAAAAAAJJJJJJJEEEEEERRRRRRTGGGGGGGGGGRGGGEEEEEEE
+RRMMMMMMMMMMMMMMMMMWWWWXXXXXXXXXKKKKKGGPPPPPPPPPPPPPPPPPHHEEEEENNNIIIIIJJJJJJJJJJJYYYYYYYYAAAAAAAAAJJJJJJEEEEEEEEERRRRTGZGGGGGGGGGGGGGEEEEEE
+RRRMMMMMMMMMMMMMMMWWWWWXXXXXXGGGGKGUUUGGGYPPPPPPPPPPPPPPPPEEEEEEEEIIIIIJJJJJJJJJJJYYYYYYYYYAAAAAAAAJJJJJJJJEEEEEEERRRRTGGGGGGGGGGGGGGGEEEEEE
+RRRMMMMMMMMMMMMMWWWWWWWWGGGGXGGGKKGGGGGYYYYPPPPPPPPPPPPPPPPPCCEEIIIIIJOJJJJJJJJJJJYYYYYYYYYAAAAAAJJJJJJJJJJEEEEEERRRRRTTGGGGGGGGGGGGGGEEEEEE
+RRRRRMMMMMMMMMMMMMWWWWWWGGGGGGGKKKGGGGGYYYYPPPPPMPPPPPPPCPPCCXXXXXXJJJJJJJJJJJJJJJYYYYYYYYYAAAAAAJJJJJJJJJJJEEEEETTRRTTTTGGGGGGGGGGGGGEEEEEE
+RRRRRMTMMMMMMLWWWWWWWWWWWWGGGGKKGGGGGGGGYPPPPPPPMPPPPPPPCCCCCCXXXXXXXXJJJJJJJJJJJQYYYYYYYYYAAAAAAAJJJJJJJJJJEEEETTTRTTTTTTTGGGGGGGGGGEEEEEEE
+RRRYYMTTMMMMLLWWWWWWWWWWWWWAGGGGGGGGGGGGYGPPPPPPMMPPPPPPCCCCCCCXXXXXXXXJJJJJJJJJJJJYYYYYYYAAAAAAJAJJJJJQQQEEEETTTTTTTTTTTIIIGGNGGGGGGEEEEEEE
+RRRYYMTTMMMMLLLLLWWWWWWWWWWAAAAGGGGGGGGGGGGPPPMMMAAAAPPCCCCCCXXXXXXXXXXXXXJJJJJJJYYYYYLLLLLAAAAAJJJJJJJJQQEEQETTTTTTTTTIIIIIINNGNGGGPEEEEEEE
+YYYYYYJTMMJMLLLLLLLWWWWWWWAAAAAAAGGGGGGGGGLMMMMMMAMAAPCCCDCCCCCDDDXXXXXXXXXJXXXJJYYYYYLLLLLLLANNNJNNJJJQQQQQQTTTTTTTTIIIIIIIINNNNNGGEEEEEEEE
+YYYYYYJTJJJLLLLLLLLWWWWWWZAAAAAAAGGGGGGGGLLLLMMMMMMAAPCCCDDCCCDDDDDDXXXXXXXXXXXWHHYHYLLLLLLLLLLLNNNNNJJQQQQQQTTTTTTCIIIIIIIIINNNNNNNEEEEEERE
+YYYYYYJJJJJLJJLLLLWWWWWWWAAAAAAAAAGGGGGGGLLMMMMMMMMCCCCCDDDDDDDDDDDMDXXXXXXXXXXXHHHHLLLLLLLLLLLLNNNNNNNQQQQQQQTCCCCCIGIIIIIIICCCCNEEEEEERRRR
+YYKKYYJJJJJJJJLLLLLWWWWJWAAAAAAAAGGGGGGGGLLMMMMMMMMXXXXDDDFDDDDDDDDDDXXXXXXXXXXHHHHHLLLLLSSLLLLLLLNNNNNQQQQQQQQQQCCCCCIIIIIIICCCCNNNEEEERRRR
+YYKKKYJJJJJLLLLLLLLLWWWLQAAAAAAZZZZZZZZGLLMMMMMMMMMMXXXDDDDDDDDDDDDDXXXXXXXXXXXHHHHHLSSSSSSSSLLLLNNNNNQQQQQQQQQQQCCCCCIIIIIIIICCCNNNNERRCRRR
+YYKKKJJJJJJLLLLLLLLLWWLLLAEAAAAZZZZZZZZMMMMMMMMMMMMMMMXDDDDDDDDDDDDDXXXXXZXXXXXTHHHLLLSSSSSSSSSSLLLLQQQQQQQQQQQQXXXCCCIIIIIIIICCCNNNNNRRRRRR
+YYKKKJJJJJJJLLLLLLLLLLLLLEEAAAAZZZZZZZZZTMTMMMMMMMMXXXXXDDDDDDDDDDDZXXXEZZVXXXOTTHHHLLSSSSSSSSSLLLLLLQQQQQQQQQOQXXXXXCCCCCICCCCCCCNRRRRRRRRR
+KKKKKJJJJJJJLLLLLLLLLLLLEEEEEAAZZZZZZZZZTTTTMMMMMMMMTTXXXDDDDDDDDDDZXXEEZZXXSSTTTTSHLLSSSSSSSSSSLLUULQQEEQEEQQQXXXXXCCCCCCCCCCCCCCNRRRRRRRRR
+KKKKKKKJKJJJJLLLLLLLNMLLEEEECZZZZZZZZZZZTTTMMMMMTTTMTTXXXDDDDDDDDDZZZZZZZSSSSSSSTSSSSSSSSSSSSSLLLLUUUUUUEEEEEEEXXXXXXCCCCCCCCCCCCRRRRXRRRRRR
+KKKKKKKKKJKKKKLLLLLLNNNNEEECCZZZZZZZZZZZTTTTTTTTTTTTTTTXXDDDDDDDDZZZZZZZZSSSSSSSSSSSMMSSISSSSLLKKKUUUUUUUUEEEXXXPPPPPCCCCCCCCCCZRRRRRRRRRRRR
+KKKKKKKKKKKKKKLLLLLLLNNNNNNCCCZZZZZZZZZZZZZZZTTTTTTTTTGXXXDDDVVZZZZZZZZSSSSSSSSSSSSSSMSSZZZZZZZKKUUUUUUUUEEEEXXXPPPPPCCCCZCZZZZZDDDRRRRRRRRR
+KKKKKKKKKKKKKKLLLLLNNNNNNNNNCCZZZZZZZZZZZZZZZXTTTGTTGGGGGXDDDVVZZZZZZZZSSSSZSSSSSSSSMMSMMZZZZZZKKDUUUUUUUPPPPPPPPPPPPCCCCZZZZZZTZZDRRRRRRRRR
+KKMMMMMMMMMMKKKLLLNNNNNNNNNNCCZJJJZZZZZZZZZZZXXXXGGGGGGGGDDDDVVVZZZZZZZZZZZZZSSSSSSSMMMMMZZZZZZKUUUUUUUUEPPPPPPPPPPPPCCZZZZZZZZZZZDZRRRRRRRR
+KKMMMMMMMMMMMMMMLNNNNNNNNNNNNCZJJJJJRRZZZZZZZXXXXFFGGGGGGGVVVVFVVFYZZZZZZZZZZSSSSSSSSSZZZZZZZZKKUUUUUUUUEPPPPPPPPPPPPXCCCZZZZZZZZPZZRRRYYRRR
+KKMMMMMMMMMMMMMMNNNNNNNNNNNNNNNNNJJJJRZZZZZZZXXXXXGGGGGGGGVVVVFFFFZZZZZZZZZZZZSSSSSSSSKZZZZZZZZKKYUUUUPPPPPPPPPPPPPPPUKRKZZZZZZZZZZIZRMRRRRR
+KKMMMMMMMMMMMMMMNNNNNNNNNNNNNNNNNJJJRRZZZZZZZXXXXGGGGGGGGGGVVVFFFFZZZZZZZZZZZSSSSSSSSSSZZZZZZZZYYYYYUUPPPPPPPPPUPPPPPUKKKZZZZZZZZZZZZQQORRRR
+KMMMMMMMMMMMMMMMNNNNNNNNNNNNNNNNNNJJJRZZZZZZZXXXXGGGGGGGGGVVVVVFFFZZZZZZZZZHHHSSSSSSTSZZZZZZZZZZYYYUUEPPPPPPPPPUPPPPPKKKKKKZZZZZZZZQMQQORRRR
+UMMMMMMMMMMMMMMMNLNNCNNNNNNNNNNNJJJVVRZZZZZZZZZZZZZGGGGGGVVVVVVFFTTJZZZZZZHHHHSSRRSTTZZZZZZZZZZZYYYYYEPPPPPPPPPUUUKKKKKKKKKZZZZZKKPPPPPPPPRR
+UMMMMMMMMMMMMMMMLLLLCNNNNNNNNNNNRRRRRRZZZZZZZZZZZZZGGGGGGGGVVVVVVVTZZZZZZZZHHHSHRRRZZJZZZZZZZSZYYYYYYYPPPPPPPPPKUKKKKKKKKKKNNNNOOOPPPPPPPPRR
+UMMMMMMMMMMMMMMMLLCCCCCCNNNNNNPPPRRRRRZZZZZZZZZZZZZGGGGGGGGGVVFVVVTTZZZZTTTEEHHHHZZZZZZZZZZZZSYYYYYYYYYPPPBBBUUKKKKKKKKKKKNNNNNNOOPPPPPPPPRL
+UMMMMMMMMMMMMMMMMLCCCCCGCCCNNPPPPPPPPRRRRVRVZZZZZZZGGGGGGGGGGGFFFFFTTZZTTEEEEEEHSSZZZZZZZZZZZZZYYYYYYYBPPPBBBKKKKKKKKKKKKKNOONNOOOPPPPPPPPQQ
+UMMMMMMMMMMMMMMMMMCCCCCCCCCCNPLLLPPPPPRRVVRVZZZZZZZGGGGGGGGLGFFFFFFTTTZTEYEEEEEHHSZZZZZZZZZZZZZZZYYYYYBPPPBKKKKKKKKKKKKKKOOOOOOOOOPPPPPPPPQQ
+UUMMMMMMMMMMMMMMMMCCCCCCDDCCULLLPPPPPPRUVVVVZZZZZZZGGGGGGGGGGFFFFFTTTTTTEEEEEEEEEEZZZZZZZZZZZZZSYYYYYYYPPPBBBKKKKKKKKKKKKOOOOOOOOOPPPPPPPPPQ
+UUUMMMMMMMMMMMMMMMMCCCCCCCCCUULLLPPPVVVVVVVVZZZZZZZGGGEEEEYYGFFFFFTTTTEEEEEEEEEEEEZZZZZZZZZZZZZYYYYYYYBPPPBBBKYKKKKKKKKKKOOOOOOWWWPPPPPPPPPQ
+UUUUMMMMMMMMMMGGGGMCCCCCCCCUULLLLLLPVVVVVVVVZZZZZZZGGEEEEEEEEFFFFFTTTTTEEEEEEEEEEEEEZZZZZZZZZZZWYYYYYYYPPPBBBBKKKKKKKKKKKFOOOOOWWWPPPPPPPPPQ
+GGUGMMMMZZMMMMGGGGTCCCCCCCCCUULLLLPPVVVVVVVVVFHHGGGTEEEEEEEEFFFFFFFFFTTTEEEEEEEEEEEEEZZZZZZZZZYYYMYYYYYPPPBBBBBBBKKKKFFFFFOOOOOWWWWWLLPPPPPF
+GGGGGMMZZZZZZZGGGGTTCCCCCCUUUULLLLPPRVVVVVVVFFHHGGGEEEEEEEEEFFFFFFFFTTTTEEEEEEEEEEEEEZZZZZZZZZCYYYYYYYYYBBBBBBBBBKKKKKFFFKOOOOWWWWWWMMPPPPPF
+UGGGGDDZZZZZZMGGGGTTEECCCCUUULLLLLLPPZVVVVVVFFFFEGGEEEEEEEEEFFFFFFUYUETTEUEEEEEEEEEEEEZZZZZZZZCCCCYYYYYYBBBBBBBFBBBKFFFFFKKOOKWWPPPPPPPPPPFF
+GGGGGGGGGGGGGGGGGGTEEEEECCCUULLLLLZZZZZFFVFFFFFFEEEEEEEEEEEEFFFFFUUUUEEEEEEEEEEEEEEEEEEEZZZZCCCYYYYYYYYYBYYBBBFFFBBKFFFKKKPPPPPPPPPPPPPPPPFF
+GGGGGGGGGGGGGGGGGGTPEPECCCUUUUUULZZZZZZFFFFFFFFFEFEEEEEEEEEEEFFFFFUUUEZEEEEEEEEEEEEEEEEEEZZCCCYYYYYYYYYYYYYYQFFFFKKKFFFFFKPPPPPPPPPPPPPPPPFF
+GGGGGGGGGGGGGGGTTTTPPPPPUUUUUULLLLZZZZZFFFFFFFFFFFEEEEEEEEEEEFFFFFFUUUZEEELEEEEEEEEEEEEEEECCCCYYYYYYYYYYYYYYQQFFFFFKFFFKKKPPPPPPPPPPPPPPPSSF
+ZGGGGGGGGGGGGGGTTTKPPPPPQUUULLLLLLLLLLLILFFFFFFFFFFFFEEEEEEEEFFFFFFFUUUUUUUTEEEEEEEEEEEEEEECVCCYYYYYYYYYYYYYQFFFFFFFFFFFFKPPPPPPPPWWWWWWWWSS
+GGGGGGGGGGGGGGGTTKTPPPPQQQUQBBLLLLLLLLLLLFFFFFFFFFFFFEEEEEEEBHFFFFYYUUUUUUUTEEBBBBBBBBBEEEECVCCYYYYYYYYYYYYQQQFFFFFFFFFFFKPPPPPPPPWWWWWWWWSS
+GGGGGGGGGGGGGGGTTTTQQQPQQQQQQQJJLLLLLLLLFFFFFFFFFFFFEEEEEEEEHHHFXFUUUUUUUUUTEEBBBBBBBBBEECCCVCCYYYYYYYYYYYYYQQQQFFFFFFFFFFPPPPPPPPWWWWWWWWSS
+GGGGGGGGGGGGGGGTTTTQQQQQQQQFFLLLLLLLLLLLLFFFFFFFIFYYPPEEEHHHHHHHUUUUUUUUUUUEEEBBBBBBBBBEEEVVVCCYYYYYYYYYYYYYQQQFFFFFFFFFFFPPPPPPPPWWWWWWSSSS
+GGGGGGGGGGGGGGGTTTTQQQQQQQQQFLGLLLLLLLLLLFFFFFFFCFYCPPEHHHHHHHHDUUUUUUUUUUUUUEBBBBBBBBBEEEVVVCYYYYYYYYYYYYYYYFFFFFFFFFFFFFPPPPPPPPWWWWWWSSSS
+GGGGGGGGGGGGGGGTTTTQQQQQQQQFFLLLLLLLLLLHFFFFFCCCCCCCPPPPPPHHPZZDDUUUUBBBBBBBBBBBBBBBBBBEEETEVVVVVVVYVYYYYYKKKKKFFFFFFFFFFFPPPPPPPPWWWWWWSSSB
+GGGGGGGGGTTTTTPTTTTTTQQQQQQQQELLLLLLLLLHHCFFFCCCCCCCPPPPPHHHPPZDDDDUUBBBBBBBBBBBBBBBBBBEEEEEEVVVVVVVVVYYKKKKYKKKFFFFFFFFFFFFMMWWWWWWWWWWDSSB
+AAAAGGGGGSXTTTPTHHHHHQQQQQQQEEEELLLLLLLHCCCCCCCCCCCCPPPPPPPHPTDDDDDUABBBBBBBBBBBBBBBBBBEEEEEEVVVVVVVVVYYYKKKYYKKKFFFFFFFFFMMMMWWWWWWWWWWDDSB
+AAAAGGGGGSXTDDSAHUHHHQQQQQEEEEEEELLLZZLHCCCCCCCCCHHPPPPPPPPPPDDDDDDDDBBBBBBBBBBBBBBBBBBBBBBVVVVVVVVVVVVYYKKKYOYKKFFFFFFMMMMMMMWWWWWWWWWWDDSB
+AAAAAASSSSSSSSSHHHHHHHHQQQEEEEEEELLLZZZCCCCCCCCCCHHPPPPPPPPPDDDDDDDDDBBBBBBBBBBBBBBBBBBBBBBVVVVVVVVVVVVYYKKYYYYKFFFJQFFQNNNNMMWWWWMWWWWWMDSB
+AAAAAASSSSSSSSSHHHHHHHQQQQEEEEEENNZZZZZCCCCCCCCCHHHHHPPPPPPPDDDDDDDDDBBBBBBBBBBBBBBBBBBBBBBNVVVVVVVVVVVYYYYYYYKKKKJJQQQQNNNNMMWWWWMMMMMMMMBB
+AAAAAASSSSSSSSSSHHKKHKKQQEEEEEENNNNZZZZCCCCCCCCHHHHHPPPPPPPPDDDDDDDDDBBBBBBBBBBBBBBBBBBBBBBBVVVVVVVVVVVYYYYYYYYYYKJJJJJNNNNNNRWWWWMMMMMMMBBB
+AAAAAASSSSSSSSSSHHKKKKKQQQEEERRNNNNZZZZZCCCCCCCCHPPPPPPPPPDDDDDDDDDDDBBBBBBBBBBBBBBBBBBBBBBBBVVVVVVVVVVYHYYYYYYYFJJJJJJNNNNRRRWWWWMMMMMMMBBB
+AAAAASSSSSSSSSSSXHKKRRQQQQEEEERRNZZZZZLZZZKKKCCPPPPPPPPPPPPPOODDDDDDDDDDDGGGTTBBBBBBBBZZZBBBBBVVVVVVAAAAAAYYYYVYJJJJJJJNNJNRCCWWWWMMMMMMMBBB
+AAAAASSSSSSSSSSSRRRRRRRBQEERRRRZZZZZLLLZZLKKKKPPPPPPPPPPAAAYAODDDDDDDDDDDGGGTTBBBBBBBBBBBBBBBBVVVVVVAAAAAAYYYYYJJJJJJJJJJJJCCTWWWWMMMMMMMBBB
+ALAVVSSSSSSJSSSSRRRRRRRRARRRRRRRZZZZZZLLLLKKKKPPPPPPPPAAARAAADDDDDDDDDDDDDGGTTBBBJJBBBBBBBBBVVVVVVVAAAAAAAAYYYYJJJJJJJJJJCCCCCWWWWMMMMMMMMBB
+VVAVVVVSSSVSSSSSZRRRRRRRRRRRRRZZZZZZZLLKLLKKKKKKPPKPPPAAAAAAAADDDDDDDDDDGGGGTTBBBAABBBBBBBBBVVVAAAAAAAAAAAAYJJJJJJJJJJJJJCCCCCWWWWMMMMMCMCCC
+VVVVVVVVVVVVSVOSRRRRRRRRRRRRRZZZZZZZZEGKKKKKKKKKKKKPAAAAAAAAAADDDDDDDDDDGGGTTTGAAAABBBBBBBBBVXVZAAAAAAAAJJJJJJJJJJJJJJGJJVCCCCWWWWMMMMCCCCCC
+ZZVVVVVVVVVVVVOOORRRRRRRRRREEEEEEEZZEEKKKKKKKKKKKPPPEAAAAAAAAACCDDDDDDDDGGTTTTAAAAAABBBBBBBIIAAAAAAAAAJJJJJJJJJJJJJJJJGGGGCCCCCCCCCMMCCCCCCC
+ZZZVVVVVVVVVVVZZZRRRRRRRREREEWEEEEEEEEEKKKKKKKKKKPPPEAAAAAAAACCCAADDDDDGGGTTTTAAAAAABBBBBBBIIIITAAHHHAAJJJJJJJJJJJJJGJGGGGGCCCCCCCCCCCCCCCCC
+ZZZVVVAAVVVVVZZZZRRRRRRRREEEEWEEEEEEEEEKKKKKKKKKFPPPEEEEEEAACCCCUUZZZDDQQQTTTAAQQQQQABDBBBBIITTTAHHHAAAJJJJJJJJJJLGGGGGGGGGGGGCCCCCCCCCCCCCC
+ZZZZVVAAAVZVZZZZZZERRTRREEEEEEEEEEEEEEEKKKKKPPPFFPPPEBEEEECCCCCUUUZZZZQQQTTTTQQQQQQQABBBHBJTTTBTTHHHHHHHJJJJJJJJLLGFGGGGGGGGGGCCCCCCCCCCCCCC
+ZZZZVZGGZZZZZZZZZZZZTTRRREEEEEEEEEEEEEEKKKKPPPPPFPPPPBKEEECCCUCCUUZZZZQQQQQQQQQQQQQQAUUUWWWTTTTTGHAHXXHJVCJVVJJLLLLGGGGGGGGGGGGGGGCCCCCCCCCC
+ZZZZZZZGZZZZZZZZZZZQQTTTREEEEEEEEEEEEEEEKKPPPPPPPPPPPBKCECCCCUCCUUZZZZQQQQQQQQQQQQQQQQUUUJWWWTTTHHHHHHHHVCVVVVVLLVLVGGGGGGGGGGGGPGCCCCCCCCCC
+ZZZZZZZGZZZZZZZZZZZZQTTTQEEEEEEEEEEEEEEEPPPPPPPPPPPPPBKCCCCCUUUUUUZZZZQQQQQQQQQQQQQQQQUUWWWWWTTTHHHHHHHHVVVVVVVVVVVVGGGGGGGGGGRRRCCCRCCRCCYC
+ZZZZZZZZZZZZZZZZZZZQQTQQQQEEQEEEEEEEEEEEEPMPPPPPPOOPPKKCCUUUUUUUUUQQQQQQQQQQQQQQQQQQQQUUUWWWMMTTTMMHHHHHVVVVVVVVVVGGGGGGGGGGGRRRRRCCRCRRCCYF
+ZZZZZZZZZZZZZZZZZZQQQQQQQQQQQEEEEEEEEEEEEPPPPPPPPOOKKKKCCURBRRUUUQQQQQQQQQQQQQQQQQQQQQUUWWWMMMMMMMMHHHHVVVVVVVVVVVGGGGGGGGGGGGGGRRRRRRRRYCYY
+ZZZZZZZZZZZZZZZZQQQQQQQQQQQQEEEEEBDEEEEEEDPPPDDPKKKKKKKKCRRRRIRUUCQQQQQQQQQQQQQQQQQUUUUUWWMMMMMMMMMMHHHXXVVVVVVVVVGGGGGGGGGGGGGGRRRRRRRYYYYY
+ZZZZZZZZZZZZZVVZQMMMQQMYQQQQEEEEEEDDEEEEEDPDDDDDKKKKKKCCCRRRRRRURCQQQQQQQQQQQQQQQQQUUUUUWWMMMMMMBBBBBHBXXVVXVUUKKKKGGGGGGGGGGGGGGRRRRRRRYYYY
+ZZZZZZZZZZZZMMVMMMMMMMMYYQYYHHEEDDEEEEEEEDDDDDDDKKKKKKKKCCRRRRRRRCCQQBOOQQQQQQQQQQQUUUUUUUUUMMBBBBBBBBBXXXXXXUUUUKGGGGFFGGGGGGGRRRRRRYYYYYYY
+ZZZZZZZZZZZWMMVMMMMMMMYYYYYYYHHHHHEEEEEDDDDDDDIDKKKKKKKKKCRRRRRRCCCQBBBBBBBBQQQQQQQQUUUBUUUMMBBBBBBBBBBXXXXXUUUUUULUFGFFGGGGGGGRFRYYYYYYYYYY
+ZZZZZZZZZZZWMMMMMMMMMYYYYYYYYHHHHDEEEEEDDDDDDDKKKKKKKKKKKCCCCRCRCCCIVBBBBBBBQQQQQQUUUUUBBBMMMMBBBBBBBBBXXXXUUUUUUUUUUFFFFGGGFGFFFFFYYYYYYYYY
+ZZZZZZZZMMMMMMMMMMMMMYYYYYYYHHHHHDDDDDDDDDDDDDKKKKKKKKKCCCCCCRRRCCCIBBBBBBQQQQQQQQUUVNNNBBBMMMBBBBBBBBBXXXXUUUUUUUUUUFFFFFFFFFFFFFFYYYYYYYYY
+ZZZZZZZZZMMMMMMMMMMMYYYYYYYYHHHHYYKDDDKKDDDDDDKKKKKKGGKCCCCCCCCCCCCIIBBBBBBQQQQQOGUUVNNNBBBBNNBBBBBBBBBBXXXUUUUUUUUUUFFFFFHHHHFFFFYYYYYYYYYY
+ZZZZZZZZZMMMMMMMMMYYYYYYYYYYYYYYYYKDKDKDDDDDKDKKKKKKGGGGCCCCCCCCCCIIBBBBBBBBQQQOOOOONNNNBNNBNNNNBBBBBBBXXXUUUUUUUUUUUFFFFHHHHFFHHFHYYYYYYYYY
+ZZZZZZZZZMMMMMMMMYYYYYYYYYYYYKKKKKKKKKKDDDDKKKKKKGGKGGGGGCCCCCCIIIIIBBBBBBBBQQQQOOOENNNNNNNNNNNNBBBBTTBXXXUUUUUUUUUUUFFFFFFHHHFHHHHBYYYYYYYY
+ZZZZZZZZZMMMMMMMMYCYYYYYYYYYYYYKKKKKKKKKKKKKKGKKGJGGGGGGGGGGCCCOIIIBBBBBBBBBBKQOOOOOONNNNNNNNNNZBBBBBTTTTTUUUUUUUUUUFFFFFFHHHHHHHHHYYYYYYYYY
+ZZZZZZZZMMMMMMMMYYYYYYYYYYYBYBBWWWKKKKKKKKKKKGGGGGJGGGGGGGGGGCOOOBBBBBBBBBBBKKKOOOOOONNNNNNNNNNNBBTTTTTTTTAUUUUUUUUUFFFFFFHHHHHHHHHHHYYYYYYY
+ZZZZZZZZOOOMZMMZZZYYYYYYYYBBBBBWWWWKKQKQKKKKGGGGGGGGGGGGGGGGGCOOBBBBBBBBBBBKKKOOOOOOONNNNNNNNNNNBBTTTTTTTAAUUUUUUUUFFFFFFFFFHHHHHHHHHYYYYYYY
+ZZMZMZZOOOOOZMMZZZYYYYYYYYYBBBBWBWWKQQQQQKKKGGGGGGGGGGGGGGFGFFFOOOOBOOBBBBBBKOOOOOOOONNNNNNNNNNNNBBBTTTTTTTUUUUUUUFFFFFFFFFFFFHHHHHHHYYYYYYY
+ZLMMMOOOOOOOZZZZZYYYYZYYYYYBBBBBBBWKKKQQQQKKKKGGGGGGGGGGGGFFFFFFOOOOOOOBKKKKKOOOOOOYYNNNNNNNNNNNNNNNTTTTTVTTOFFFFUFFFFFFFFFFFHHHHHZZZZYYYYYY
+MMMMMOMMOOOOBZZZZZYYZZYZBBBBBBBJBHWHQQQQTTTKKKKGGGGGGGGGGFFFFFFFOOOOOOOBKKKKKOOOOGOXYYNNNNNNNNNNOEOOTTTTTTOOOOFFFFFFFFFFFVVFFFHZZZZZZZYZYYYY
+MMMMMMMMOOOOBZZZZZZYZZZZZZZBBBJJJHWHQQQQTTTTTGGGGGFFFGGGFFFFFOOOOOOOOOOOHHHHHGGGOGGXYYYNNNNNNPPPOOOOOOTOOOOOOOFFWWWWFFFFFFVVVZZZZZZZZZYZYYYY
+MMMMMMMMOOOOBZZZZZZZZZZZZZZBJJJJJHHHHQQTTTTTTTDGGFFFFFFFFFFFFOOOOOOOOOOHHHHHGGXGGGGXXYYNNNNNPPPPPPOOOOOOOOOOOFFWWWWFFFFFVVVVVZZZZZZZZZZZZYYY
+MMMMMMMOOOOBBZZZZZZZZZZZZZZZJJJJJHHHHHTTTTTTTTDDDDFFFFFFFFFPPFOOOOOOOOOHHHKKXXXXXXXXXXNNNNNNPPPPPPOOOOOOOOOIOOOOWWWWWWFFFVVVVZZZZZZZZZZZZYYZ
+MMMMMMOOOBBBBZZZZZZZZZZZZZJJJJJJJHHHHTTTDTTTTDDDDDFFFFFFHFFFFFOOOOOYOOHHHHHXXXXXXXXXCXXNGGNPPPPPPPOOOOOOOOIIIWWWWWWWWWWWFVVVVZZZZZZZZZZZZZZZ
+MMMMMMOOBBBBBBZZZZZZZZZZZZZZJJJJJJJJHHHTDTTTTDDDDDFFFFFFFFFFFOOOOOOYYHHHHHXXXXXXXXXXXTUUUUNPPPNPPOOOOOOOOOOIWWWWWWWWWWWWWWWZZZZZZZZZZZZZZZZZ
+MMMMMMMOOBBBBBBBZZZDDDZZZJJJJJJJJJJJHHHDDTTTTDDDDDFFFFFFFFFFFOOOOOYYYHHHHHHHXXXXXXXXXTUUUNNNNNNNOOOOOOOOFFRRWWWWWWWWWWWWWRRRZZZTZZZZZZZZPZZZ
+MMMMMMMBBBBBBBBBZZZZDDDDJJJJJJJJHHJHHHHDDDDDDDDDDDFKFFFFFFLFFFOOOOYYYYHHHHHHXXXXXXXXXXUUUNNNNNNNNOOFFFFFFRRRRRWWWWWWWWWWWWWRRZZTZZZZZZZZPZPP
+MMMMMMMMMBBBBBZZZZZDDDDDDDEJJJJJHHHHHHHDHDDDDDDDDFFKFFFFFFFFFOOOOOOYYYYHHHHHCXXXXXXXXUUNNNNNNNNNNNNFFFFFFRRRRRWWWWWWWWWWRWWRZZTTZZIPPZZPPPPP
+MMMMMMMMBBBBBBZZZZDDDDDDDDDJJJJJHHHHHHHHHDDDDDDDDFFFFFFFFFFFOOOOOODDYYYYHHHHCCXXXXXXXUUUUNNNNNNNNNNFFFFFFSRRRRRWWWWWWWWRRRRRZZZZZPIPPPPPPPPP
+NMMMNMNMBBBBBBBZZZZZDDDDDDDHJHHHHHHHHHHHRHDDDDDLFFFFFFFFFFFFOOOOODDDYYYYHYYYYXXXXXXXXXUUUNNNNNNNNNNNFFFFSSSSRRWWWWWWWWWRRRRRZZZZPPIPPPPPPPPP
+NNNMNMNNBBBBBBBBZZZZPDDDDDDHHHHHHHHHHHHHHHLLLLLLLZFFFFFFFFFFOOOOODYYYYYYYYYYYYXXXXXXXXUUUUNNNNNNNNNFFFFFSSSSSSKKWWWWWWWRRRRRZZZZPPPPPPPPPPPP
+NNNNNNNNNBBBBBBBZZZZZDDDDDDHHHHOHHHHHHHHHHHLLLLLLZZFFFFFFFFFFOOYYYYYYYYYYYYYYYYXXXXXXUUUUUNNTNNNNNFFFFFFFSSSSSSWWBWWWWWWZRZZZZZZZZPPPPPPPPPP
+NNNNNNNNNBBBBBBBBZZZZZDDDDDHHHOOOOHHHHHHHHHHHLLLFFFFFFFFFFFFFOOYYYYYYYYYYYYYYYYXXUJXXUUUUUUNNNNWWFFFFFFSSSSSSSSSSWWWWWWWZZZZZZZZZZPPPPPPPPPP
+NNNNNNNNBBBBBBBUUUZZZZDDDDHHHOOOOOHHHHHHHHHHHHHHHHFFFLFFOOOOOOOOOYYYYYYYBOYYYYYYYUUXUUUUUUUNNWWWFFFFFFFFFSSSSSSSSSSWWWZWZZZZZZZZZZZPPPPPPPPP
+NNNNNNNNNBBBBBBBKUKRKKKDDHHHHHOOOOHHHHHHHHHHHHHHHHHFFFFFOOOOOOOOOOOZYYRYOOOYYYYYYUUUUUUUUUUUUUWWWFFFFFFFSSSSSSSSSSWWWZZZZZZZZZZZZZZZPPPPPPPP
+NNNNNNNNYBBJBBXXKKKRKKPPPHHHHHHOOOOOHHHHHHHHHHHHHHIFFFFFOOOOOOOOZZOZYYLLOOOOOOYOUUUUUUUUUUUUUUWFFFFFFGGQQSSSSSSSSSSSWZZZZZZZZZZZZZZPPPPPPPPP
+NNNNNNXBBBBBXXXKKKKRKKPPHHHHHHHOOOOOHHHHHHHHHHHFFFFFFFFFKOOOOOZOZZZZZZLLLLOOOOOOCUUUUUUUUUUUUUWWWVFFFFGGGSSSSSSSSSSSSSSZZZZZZZZNNNBPPPPNPPPP
+NNNNNNBBBBBXXKXKKKKKKKKHHSHHHHOOOOOOHHHHHHHHHHHHHHFFFFZKKOKKZZZZZZZZZLLLLOOOOOOOCUUKUUUKUUUXVUWVVVVGGGGGGGGSSSSSSSSSSSSZZZZZZZZZNBBBPNNNNPPP
+NNNNNTTTBBBXXKKKKKKKKKSHHSHHHHHOOOOOOOHHHHHHHHHHHHFFFFZKKKKKZZZZZZZZZZLLLLLOOOOOOOKKUKKKUUVVVVVYVVVYGGGGGGGGSSSSSSSSSSSSZZZZZZZZNNNBPNNNSPPP
+NNNNNTTTTMBXKKKKKKKKKKSHSSSHHHHOOOOOOOHHHHHHHHHHHHHFZZZKKKKEEEZZZZZLLLLLLLLOOOOOKKKKUKKZUVVVVVVVVVVYGGGGGGSSSSSSSSSSSGGGGGGZZZZZNNNNGNNNNPNN
+NTTNTTTTTTBXKKKKKKKKKKKKSSSHHHXOOOOOOPFFHHFHHFHHHHHZZXZZKKKEEEEEZPUULLLLLLLOOOOOZKKKKKZZCVVVVVVVVVVGGGGGGSSSSSSSSSSSSGGGGGGZGZZZNNNNNNNNNNNN
+TTTNTTTTTTTTKNKKKKKKKKKKKKKVPHPFFOOOPPFFHHFFHFHHHHZZZXXXEEEEEEEEPPPUULLLLLOOOOOOZZKKZZZZZQVVVVVVVVVMGGGGGGMMMMSSSSSSSGGGGGGGGGZNNNNNNNNNNNNN
+TTTTTTTTTTTITTTKKKKKKKKKKKKVPPPPPPPPPPFFFFFFHFFFFFXXXXEEEEEEEEPPPPPLLLLLLLLOPOCCZZKZPZZZZVVVVVVVVVVMMGGGGGMMMMSSSSGSSGGGGGGGGGZNNNNNNNNNNNNN
+TTTTTTTTTTTTTEEEKKKKKKKKKKKPPPPPPPPPPPPFFFFFFFFFFFXXXXXXEEEEEPPJPPPLPPLLPPPPPPCZZZZZZZZZZVVVVVVVVVVMMMGGMMMMMSSGSSGGGGGGGGGGNZZZUNNNNNNNNNNN
+TTTTTTTTTTTTTFEEEKKKKKKKKKKPPPPPPPPPPPPFFFFFFFFFFXXXXXXXXEEEXPPPPPPLPPPLPPPVPCCPZZZZZZZZZZVVVVVVVVVVMMGGMMMMMGGGGGGGGGGGGGGGNNNUUNNNNSNNNNNN
+TTTTTTTTTTTTFFFEEFKKKKKHKKKPPPPPPPPPPPPFPPFFFFFFFXXXXXXXXEXXXOOPPPPPPPPPPPPPPPPPZZZZZZZZZZZVVVVVVMMVMMMMMMMGGGGGGGGGGGGGGGGGNNNNNNNSSSSNNNNN
+TTTTTTTTTTTTTFFFFFZKKKWLLLKGPPPPPPPPPPPPPFFFFFFXXXXXXXXXXXKXXXPPPPPPPPPPPPPPPPPPZZZZZZZZZZZZVVVMMMMMMMMMMMMGGGGGGGGGGGGGGGGGGNNNNNNNSMSSNNNV
+TTTTTTTTTTTFFFFFFFFFFFLLLLPPPPPPPPPPPPPFFFFFFFFFXXXXXXXXXXXXXXXPPPPPPPPPPPPPPPPPZZZZZZVZZZZZZZVMMMMMMMMFMMGGGGGGGGGGGGGGGGGGGNNNNNNNNMNSNVVV
+TTTTTTTTKKKKFFFFFFFFFFLLLLLLZPPPPPPPPPPFFFFFFFFFXXXXXXXFXXSSSXPPPPPPPPPPPPPPPPPPZZZZZVVVZVZZZMMMMMMMMMFFFFFGGGGGGGGGGVGVVVVVGNNNNNNNMMNNNNNV
+TTTTTTTKKKKKKFFFFFFFFFLLLLLLZZYYPPPPPPPPFFFFFRRFXXXXXXFFXXSSSSPPPPPPPPHPPPPPPPZZZZZZZQVVVVVVZMMMMMMMMMFFFFFGGGGGGGGVVVVVVVVNNYNNNNNYSSSSSSNS
+TTTBBBBBKKKKFFFFFFFFFFFLLLLLLLYYYPQQPYPPFFFFRRRRRXXXXXFFFTTSSSPPPPPHHHHHPHPPJJJBLBBBVVVVVVVVMMMMMMMMMMFFFFFFGGGGGGNNVVVVVVVNYYYYYYYYSSSSSSSS
+TTBBBBBBBBKFFFFFFFFFFFLLLLLLLYYYYYQYYYYFFFFFFRRRRXXXXXXXFTTTTDDDDHHHHHHHHHHHHJJBBBBBVVVVVVVVVMMMMMMMKFFFFFFFFGGGGGNNVZZVVVNNYYYYYYYSSSSSSSSS
+BBBBBBBBBYKFFFFFFFFFFFLLLLLLYYYYYYYYYYFFFFRRRRRRRRRXXXXFFFTTDDDDDHHHHHHHHHHHHHBBDKBBVVVVVVVVMMMMMMKKKFFFFFFFFFFGFGNNNVVVVVNNYYYYYYSSSSSSSSSS
+BSBSSSSUYYKFFFFFFFFFFLLVVVVYYYYYYYYYYYFFFFFRRRRRRRRRRGXTTTTTTDDDDIHHHHHHHHHHDDDDDKKKVVVVVVVVMMMMMKKKKKKTFFFFFFFFFNNNNVVVVVNTTRYPYYSSSSSSSSSS
+SSSSSSSSYYYYYYFFFFFFFVLVVVVVVYYYYYYYYYYFFFFRRRRRRRRRRRTTTTTTTTDDDDDHHHHHHHHHHDDDKKKKVVVVVVVVVVMMMMKKKTTTFFFFFFFFFFNNNNNVVVNNTRYYYSSSSSSSSSSS
+SSSSSSSUUYYYYYFFFFFHVVVVVVVVVVYYYYYYFFFFFFRRRRRRRRRRRRRTTTTTTTDDDDDDHHHHHHHHQHKKKKKKVVVVVVVSSMMMMMMEEETMFMVVYXFAAFNNNNNNVNNNTTTTYSSSSSSSSSSS
+SSYSSSUUUYYYYYWFFFFVVVVVVVVVVYYYYYYYFFFRRRRRRRRRRRRRRRRTTTTTTTDDDDDDDDDDHHHHHHKKKKKKKVVVVVSSSMMMMMMEEEMMMMYYYYFAAAYNNNNNNNTNTTTTSSSSSSSSSSSS
+SSSSSSSSUYYYYNSFFFFVVVVVVVYYYYYYYYYYKFFRRRRRRRRRRRRRRRTTTTTTTDDDDDDDDDDDHHHHHIKKKKKKIIIVVVSESMMMMMMEMMMMMMMYYYYYAAYNNNNNTTTTTTTTTSSSSSSSSSSS
+SSSSSSCCYYYNNNSSSSSGGVVVVEEYYYYYYYYYKFFRRRRRRRRRRRRRRRTTTTTDDDDDDDDDDDDTHHHHHIKIKKIIIIIIIIEEMMMMMMEEEMMMMMMYYYYYYYYNYNNNTTTTTTTTYYSSSSSSSSSS
+SSSSSSCCCCIIIIGGSSSGVVVVVVVYYYYYYYYYKFFIIRRRRRRRRRRRRRRRTTTTTDDDDDDDTTDTHHHAHIIIIIIIIIIIIIIEEMEEEEEEEMMMMLYYYYYYYYYYYYNNNTTTTTYTYXYMSSSSSSSS
+SSSSTTCTCIIIIIIISSGGGVVVOOOOOYYYYYYYYIIIIIRRRRPRRRRRTRRRTTTTTDDDDDDDTTDTTHBAAIIIIIIIIIIIIIIEEEEEEEEEEEMMMMYYYYYYYYYYZZNNNTTTTTYYYXYMSSSSSSSS
+TTTTTTTTTIIIIIIIIGGGGGVVVVYYYYYYYYYYYIIIIIRRRRRRRRRRRRRTTTTTTTDDDTDDDTTTTAAAAAIIIIIIIIIEEIEEEEEEEEEEEEMMMMMMMYYYYYYYZZZZZZZTTTYYYYYYYSSSQSSS
+TTTTTTTTIIIIIIIIIGGGGGVVVVGGYYYYYYYYYIIIIHTRRRHRRRRRRRHTTTTTTTTTDTTTTTTTTTAAAAIIIIIIIIIEEEEEEEEEEEEEEEMMMMMYYYYYYYYYYZZZZZZTTTTYYYYYSSSSQSSS
+TTTTTTTTIIIIIIIIIIIGGGGGGGGGGYYYYYYYIIIIIHRRRHHHRRRRRRHTTTTTTTTTTTTTTTTTTTAAIAIIIIIIIIIIEEEEEEEEEEEEEEMMMMMMYYYYYYYYYYTZZZTTTTTTTYYYYYSSSRSR
+TTTTTTTTIIIIIIIGGGGGGGGGGGGGYYYYYYYYYIIIIHHHHHHHHHHHHHHHHHTTTTTTTTTTTTTTTAAAIIIIIIIIIIIEEEEEEEEEEEEEEEEEEEMYYYYYYYYYYYTXZZTTTTTTTTYBYRSRRRSR
+TTTTTTTXIIRIRIIIGGGGGGGGGGGGYYYYYYEYIIIIIHHHHHHHHHHHHHHHHHHTTTTTTTTTTTTTAAAIIIIIIIIIIIEEEEEEEEEEEEEEEEEEEEMYYYYYYYYYTTTTTTTTTTTTTTBBYRRRRRRR