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SSFFFFFFFFFFFFFFFFEEEZZZZRZZZZZZZZZZZKKKKKKKKKKKKKKKSSSSSSSSSSSSSKKKKKKKKKQDDDDDTTTTTTTTTTTTTTMMMMMMMMMWWWWWWWWWWYYWKKKKKKKKKKKKKKKKKKKKKKKK
FFFFFFFFFFFFFFFFFFFEEEZZZZZZZZZZZZZZZZKKKKKKKKKKKKKKSSSSSSSSSSSSSKKKKKXXXXXXXXXDDDTTTTTTTTTTMMMMMMMMMMMMWWWWWWWWWWWWKKKKKKKKKKKKKKKKSKKKKKKK
FFFFFFFFFFFFFFFFFFFFEEZZZZZZZZZZZZZZZKKKKKKKKKKKKKKKSSSSSSSSSSSSSKKKKKXXXXXXXXXDDQQTTTTTCTTTTMMMMMMMMMMKMWWWWWWWWWWWKKKKKKKKQKKKSSSSSSKKKKKK
FFFFFFFFFFFFFFFFFIIIIEEZZZZZZZZZZZZZZKKKKKKKKKKKKKSSSSSSSSSSSSSKKKKKKKXXXXXXXXXDDQQQTTTTCTTTTMMMMMMMMMMMMWWWWWWWWWWWKKKKKKKKQQQQSSSSSSSSKKKK
VVVFFFFFFFFFFFIIIIIIIEEZZZZZZZZZZZZZZKKKKKKKKKKKKKSSSSSHHHSHHSSKKKKKKDXXXXXXXXXDQQQQQTTTCCTTTMMMMMMMMMMMMMMWWWWWWWWWKKKKKMMKKQQQSSSSSSSSKSSK
VVVFFFFFFFFFFFFIIIIIIEZZZZZZZZZZZZZZZKKKKKKKKKKKKKKSSSSHHHHHSSSSKKKKKIXXXXXXXXXDQQQQTTTTCCTTMMMMMMMMMMMMMMMMWWWWWWKKKKMMMMMMQQQQSSSSSSSSKSSK
VVVVFAFFFFFFFFFIIIIIIIIZZZZZZZZZZZZZZKKKKKKKKKKKKKKKSSSSHHHSSSSSKKKKKIXXXXXXXXXDQQQQQTTTCTTMMMMMMMMMMMMMMMMWWWWWWWWWKWWMMMMQQQQQSSSSSSSSSSSK
VVVVFFFFFFFFFFFIIIIIIIIIIZZZZZZZZZZZKKKKKKKKKKKKKSKSSSSVSHHSSSSSSSSSKDXXXXXXXXXXXQQQQQQTCTTMMMMMMMMMMMMMMMMWWWWWWWWWWWWQQMQQQQQQQSSSSSSXSASK
VVVVVFFFFFFFFFFLLIIIQQIPPPPZZZZZZZZZKKKKKKKKKKKKKSSSVVVVSSSSSSPSSSSHDDXXXXXXXXXXXQQQVVTTTTTMMMMMMMMMMMXXXXXWWWWWWWWWWWWWQQQQQQQQQSSSSSXXSSKK
VVVVVFVFFFFFFAAIIIQQQPPPPPPZZZZZZZZZKKAKKKKKKKKKMUUSSWVVVVSSSSPSSSSHDDXXXXXXXXXXXSVQVVTTTTTMMMMMMMMMMMXXXXOWWWWWWWCWWIWQQQQQQQQQQQSSSSXXXSKK
VVVVVVVFFFFFFAKCIQQQPPPPPPEEZIZZZZZKKAAAKKKKKKKXUUSSUWVVVVSSPPPPESHHHDXXXXXXXXXXSSVVVVTTTTTTTMEMMMMXXXXXXOOZWWWWWWWIIIWWQQQQQQGGQQQXXXXXXXXX
VVVVVVVVFFFFAAKKKKQQQPPPPPPEEEEAAZZZZZAAAAKAAKJXUUSSUUVVVPPPPPPPESSHHDFXXXXXXXXXSSSVVVTTTTTATEEMMMMMMXXXXOOOOOOIWIIIIIIWWQQQQQYGXXXXXXXXXXXZ
VVVVVVVVVVFFAKKKKKPPPPPPPEEEEEEAAAZZAAAAAARRRRRRUUUUUUUVVVPPPPPMPPPHHHDDDDDDDDSSSSSSSSTTTTTTTEEEMEMMMMXXOOOOOOOIIIIIIIIWIIQQQGGGGGXXXXXXXZZZ
VVVVVVVVFFFAAKKKKKRRRPPEEEEEEEEEAAAAAAAAAARRRRRRJUUUUUUVVIPPPPPPPPPHHHHHDDDDDDSSSSSSSEEEEETEEEEEEEJJJJOOOOOOOOOIIIIIIIIWILQQEGGGGGXXXXXXXXZZ
VVVVVVVVJJJVAAAAAKRRRRREREEEEEEEEEEAAAAAARRRRRRRRRRUUUUIIPPPPPPPPPHHHHHHDDDDSSSSSSSESEEEEEEEEEEEEEJJJJOOOOOOOOOIIIIIIIIIIGGGGJGGGGGGXXXXXXZZ
VVVVVVVVVVVVXXXXAKRRRRRRREEEEEEEEEEAAARRRRRRRRRRRRRUUUUUIPPPPPPPQPPPHHHHDDDDSSSSSSSEEEEEEEEEEEPEPPPOJJOOOOOOOIIIIIIIIIIIIGGGGGGGGGGXXXXXXXZZ
AVVVVAVVVVVXXXXXXRRRRRRREEEEEEEEEAAAAAARRRRRRRRRRRRJJUUUPPPPPPQQQPPHHHHHHSSDDSSSSSEEUEEEEUUEEPPQQQQQQQOOOOOOOOIIIIIIIIIIIGGGGGGGGGGGGXXXHXZZ
AVVAAAAVVVVXXXRRRRRRRRRREEEEEEEEEAAAAAARRRRRRRRRRRRJJJJUPPPPPPQQQHHHHHHSSSSSSSSSSSEEUUUUUUUEPPPQQQQQQQOOOOOOIIIIIIIIIIIIIGGGGGGGGGGGGGXXXXXZ
AAVAAAAAVVVVXXXRRRRRRRREEEEEEEEEEAAAAARRRRRRRRRRRRRJJPJJJPPPPPQHQHHHHHHSSSSSSSSSSEEUUUUUUUUUUPPQQQQQQQOOOOOOOIIIIIIIIIIIIIGGGGGGGGGGGGXXXXZZ
AAAAAAXXXVVVXXXXXRRRRRRREEEEEEEEEAAARRRRRRRRRRRRRRRPPPJJJPPPPPHHHHHHHHSSSSSSSSSSSEEUUUUUUUUUUUPQQQQQQQOOOOOOOOIIIIIIIIIIGGGGGGGGGGGGGGGGGZZZ
AAAAAAAAXXXXXXXXXXRRRNNNNNEEEEEEEXXARRRRRRRRRRRRRRRPPPPJJHHIIIHHHHHHHHSSCSSSSSSSSSEUUUUUUUUUUUPQQQQQQQOOOOOOOOOOIIIIIIIIGGGGGGGGGGGGGGGGGZZZ
AAAAAAAXXXXXXXXXXRRRRNNNNNNEEEEEXXXARRRRRRRRRRRRRRRPPPPHHHIIIIIIHHHHHHHHSSSSSSSSSXUUUUUUUUUUUPPQQQQQQQQQQQQQQQOIILLIIIIIGRRGGGGGGGGGGGGGGZZZ
AAAAAAAAXXXXXXXXXXNNNNNNNNNEHHXXXXXXRRRRRRRRRRRRRRRPQPPHHHIIIIIHHHHHHHOGGSSSSSSSSXUUUUUUUUUEPPPQQQQQQQQQQQQQQQQQQQLLIIIIRRGGGGGGGGGGGZGZZZZZ
AAAAAAAAXXXXXXXPXXXNNNNNNNNHHHHXXXXXRRRRRRRRRRRRPJPPPPPPHIIIIIIUHHHHHHOGGGOXXXXXXXXXDDDUUUVPPPPQQQQQQQQQQQQQQQQQQQLLLLRRRLEEGZGGGGGGGZZZZZZZ
AAAAAAAAXXXXXXXXAANNNNNNNNNNNNNNXXXAAJQQQQRRRRRRPPPPPPPPPPDIIUIUOXHHWOOGOGOXXXXXXXXXDDDDUUVVPPPQQQQQQQQQQQQQQQQQQQLLLLLLLLLGGZGZZGGTTZZZZZZZ
AAAAAAAAAXXXXXXXAAANNNNNNNNNNNAXXXXAAAQQQQRRRRRRPPPPPPPPPPDIIUUUOOGHHEOOOOOXXXXXXXXXXXXDVVXPPPQQQQQQQQQQQQQQQQQQQQLLLLLLLLLLLZZZZGGZZZZZZZZZ
AAAAAAAAAAAAXOXWNNNNNNNNNNNNNAAXXXAAQQQQQQRRRRRRPPPPZPPPPPPZOOUUOOOOEEOOOOOXXXOXOOXXXXXDVXXPPPQQQQQQQQQQQQQQQQQQQQLLLLLLLLLLLZZZZGZZZZZZZZZZ
AAAAAAAAAAAAAWWWWNNNNNNNNNNNNNAAXXXAAQQQDDRRRRRRPPPZZZZZZZZZOOUOOOOOOOOOOOOOOOOOOXXXXXXXXXXZPPQQQQQQQQQQCCCYCCCCHLLLLLLLLLLLLZZZZZZZZZZZZZZZ
AAAAAAAAAAAWWWWWWNNNNNNNNNNNNAAAAAAAHDDQQZRRRZPMPPPZZZZZZZOOOOOOOOOJJOOOOOOOOOOOOXXXXXXXXXZZZZQQQQQQQQQQCGCCCCCCCCCLLLLLLLLLLLZZZZZZZZZZZZZZ
AAAAAAAAAAAWWWWWNNNNNNNNNNNNAAVAAAAAHDDDDZRRRZZZPPPZZZZZZZFFFFFFOOJJJJOOOOOOOOOOOXXXXXXXXXZZZZPPPRRRPOOFFCCCCCCCCLLLLLLLLLLLLLZZZZZZZZZZZZZZ
AAAAAAAAWAWWWWWWNNNNNNNNNNNNANVVVVHHHDDZZZRRRZZZPPZZUUZZZFFFFFFJJJJJJJJOOOOOOOOOOXXXXXXXXZZZPPPPRRRRRLOLLCCCCCCCCCCLLLLLLLLLZZZZZZZZZZZZZZBB
AAAAAAAAWWWWWWWWWNDDNNNNNNNNNNVVVHHHHHHXXXZZZZZZZPZZZUZZZFFFFFFJJJJJJJJOOOOOOOOOXXXXZXZZZZZZZPPZRRRRRLOLCCCCCCCCCCCLLLLLLLLLZZZZZZZZZZZZZBBE
AAAAVAAAWWWWWWWWWNDDNWNNNNNVVVVVKKKHHHXXXXZZZZZTZZZUUUUUUFFFFFFJFJJJJJJOOOOOOOOXXXPXZZZZZZZZZZZZRRRRRLLLLCCCCCCCCCLLLLLLLELLZZZZZZZZZZZZBBBB
AAAVVVAAAWWWWWWWWNDDNLNNNNLVVVVVKKKHXXXXXTTTTTTTTUUPUUUUUUFFFFFFFFJJJJJJJMSOOZXXXXXZZZZZZZZZZZZRRRRRRRLLLCFCCCCCCCCCLLLLLEEZZZZZZZZZZZZZZBBB
AAVVVAAWWWWWWWWWWWLLLLINLLLVVVVVKVVXXXTTTTTTTTTTUUUUUUUUUVVVFFFJFFJJJJJJMMMMOZZXXXZZZZZZZZZZZUZRRRRRLLLLLCCCCCCCCCCLLLLLLEEEZZZZZZZZZZZBBBBB
AAAVVVVVVWWVVWWWWWLLLLLLLLLVVVVVVVXXXXTTTTTTTTTUUUUUUUUUVVVVJFJJJJJJJJJMMMMMMZZZZZZZZZZZZZZZZUZZZRRLLLLLLLLLCCCCCCCCCLLLLLLEZZZZZZZZZZBBBBBB
FFVVVVVVVVWVWWWWWLLLLLLLLLLVVVVVVVVXXTTTFTTTTTTUUUUUUUUVVVJJJJJJJJJJJAMMMMMMMMMZZZZZZZZZZZZUUUUZZZRRLLLLLLLLLLCCCCCFCLLLLLLEEEEGGGZZZZBBBBBB
FFFFFVVVVVVVVWWWWLLLLLLLLLLLVVVVVVVTTKTTTTTTTTTUUUUUUUUUVVJJJJJJJJJJJAMMMMMMMMZZZZZZZZZZZZUUUUUZZZRLLLLLLLLLLLLCCLLLLLLLLLLEGEGRRGGZBBBBBBBB
VVFFVVVVVVVVVWWJLLLLLLLLLLLLVVVVVVVVTTTTTTTTTTTTNUUUUUUUVVJJJJJJJJAAAAAAMMMMMMMZZZZZZZZZZUUUUUUULLLLLLLLLLLLLLLLLLLLLLLLLIIGGGGRRGGGBBBBBBBB
VVFFFVVVVJJJJWJJLLLLLLLLLLLLVPPVVYYYTTTTTTTTTTTTNUUUUUUUVVJJJJBIBBAAAAAMMMMMMMPZZZZZZZZZZZZUUUUMLLLLLLLLLLLLLLLLTLLLLNNNNIIGGGGGGGGGBBGBBBBB
VFFVVVVVJJJJJJJJJMLLLLLLLLPPPPPPPYYTTTTTTTTTTTTTTOUUUUUUVVVBJJBBBBMAAAAMMMMMMMMZZZZZZZZZZZZUUUUMMLLLLLLLLLTLLLTTTLLLLNNNANGGGGGGGGGGGGGBBBBB
VVVVVVVVVJJJJJJJJJUULLLLLLPPPPPPPYYYTTTTTTTTTETTOOOOOUVUVVVBBBBBBMMMMMMMMMMMMMMZZZZZZZZZZZZRZZMMMMMLLLLLLLTTTTTTTLLLTNNNNNNGGGGGGGGGGHGBBBBB
VVVVVVVVJJJJJJJJJJUUZLLZZLPPPPPDPPZATTTTTTTTTTTTTOOOOVVVVVVBBBBBBBMMMMMMMMMMQQQQZZZZZZZZZZZZZZZMMMMMLLLTTTTTTTTTLLNLNNNNNNGGGGGGGGGGGGGGBBBB
VVVVVVVVVPJJJJUGZZZZZZZZZZPPPPPPPPPAAAATTTTTTTYYYOOOOVVVVVVBBBBBBBMMMMMMMMMMQQQQZZZZZZZZZZZZZZZMMMMMMMMMMTTTTTTTLNNNNNNNNNNNGGGGGGGGGGGGBBBB
VPPPPPPPVPKKKGGGGZZZZZZZZZZPPPPPPPPAAAAAAATTTTYOOOOOVVBVVVVBBBBBBBBBBBMMMMMMQQQQZZZZZZZZZZZZZZZZMMMMMMMMMTTTTTTTTLLNNNNNNNNNGGGGGGGGGGGGBBBB
VPPPPPPPPPKGKGGGGZZZZZZZZZZPPPPPPPPPPPPAAATTTTTTJOOOVBBBVVBBBBBBBBJBBBMMMMMMQQQQZZZZZZZZZZZZZZZZZMMMMMJMMTTTTTTPNLNNNNNNNNGGGGGGGGGGGGGGGGBB
VPPPPPPPPKKGGGGGGZZZZZZZZZZPPPPPPPPPPPPAAAAAAATHHOOVVBBBBBBBBBBBBBBBBMMMMMMMQQQQQZZQQQQQQZZZZZZZZMJJJJJMMMMMTYTPNNNNNNNNNNNGGGGGGGGGAGGGGBBB
VPPPPPPPPPPGGGGGGGZZZZZZZZZZZPPPPPPPPPAAAAAAHHHHHOOBBBBBBBBBBBBBBBHHHMMMMMMSQQQQQZZQQQQQQZZZZZZZZZZZMJJJMMTTTYYNNNNNNNNNJJNUGGGGGGGAAAGGGBBB
QWWPPPPPPPPGGGGGGGZZZZZZZPPPPPPPPPPPPPPPAAAAHHHHHBBBBBBBBBBBBBBBBBHHHMHMMMMMQQQQQZZQQQQQQZZZZZZZZZZZZJJJMJYYYYYYYNNNNNNKKKUUGGGGKGAAAAGGOBBB
QPPPPPPPPPPGGGGGGGGZZZZZPPPPPPPPPPPHPHHHHAAAAHHHHHBRRRBBBBBBBBBHHBHHHHHHMSSSQQQQQBZQQQQQQZZZZZZZZZZJJJJJJJYYYYYYYFFNNNNKKKUUGGGOKGGOAAAOOOBB
QPPPPPPPPPPPBAAAGGGZPOZPPPPPPPPPPPHHHHHHHAAAAHHHHHHRRRRRBBBBBBBBHHHHHHMMMSSQQQQQQQQQQQQQQQZZZZZZZZJJJJJJJJYYYYYFFFFNFFIKKKKKKZGOKKOOAAAAOOOO
QQPPPPPPPPPAAAAAAAGZPPPPPPCPPPPPPPPPHHHHHHHHHHMHHHRRRRRWRBBBBBBBHHHHHHIIMMMQQQQQQQQQQQQQQQZZZZZZJJJJJJJJJJJYZZZFFFFFFFKKKKKKKZKKKOOOAAAAOOOO
QQPXPPPPPPPAAAAAAGGGPPPPCCCPPPPPPPPPPPPHHHHHMMMMMRRRRRRWRDDDDDDHHHHHHIIIIMMQQQQQQQQQQQQQQQQQQQZZJJJJJJJTJJZYZZZZZFFFFZZKKKKKKKKKKKOAAAAOOOOO
QQPPPPPPAAAAAAAAAAGGPOOPCCCPPPPPPPPPPPPPPHHHMMMMMMRRRRQQQDDDDDDHHHHHHIIIMMMQQQQQQQQQQQQQQQQQQQZZJJJJJJJJYYZZZZZZZFFFFZZKKKKKKKKKKKKKKKOOOOOO
QQPQPPPBAAAAAAAAADAOOOOCCCEPPPPPPPPPPPPPHHHMMMMMRRRRRRQQQDDDDDHHHHDGHIMMMMMMMXXXSSQQQQQQQQQQQQJJJJJJJJJJYZZZZZZZZZZZFZZKKKKKKKKKKKKKKEEOOOOO
QQQQPPPPAAAAAAAAAAAOOOCCCCECCPAPAPPPPPPPHHMMMMMMMMRRDDQQQDDDDDHDDDDDIIIIMMMMMIXXSSQQQQQQQQQQQQJJJJJJJJYYYYZZZZZZZZZZZZZKKKKKKKKKKKKKREEEOOOO
QQQQQPPPAAAAAAAAAACCCOCCCCCCPPAAAPAPPPPFFMMMMMMMMMMDDDQQQDDDDDDDDDDIIDIIMIMMMIXXXXSSZZZQQQQQQQJJJJJJJJYYYYZZZZZZZZZZZZZZZKKKKKKKKKKKEEEEEOOO
QQQQQGPPPAAAAAAAAAACCCCCCCCCCBPPPPFFFFFFMMMMMMMMMMMMDDQQQDDDDDDDDDDDDDDIIIIIIIXXXXUSZZZQQQQQQQJJJJJJJJJJJYZZZZZZZZZZZZZZZKKKKKKKKKKKEEEEEOOO
QGGGGGPAAAAAAAAACCCCCCCCCCCCCCIIPPPFFFFFFFMMMMMMMMMMDQQQQLLLDDDDDDDDDDDDIIIIIXXXXXXZZZZZZZZZJJJJJJJJJJJJYYYZZZZZZZZZZZZZKKKKKKKKKKKKKEEEOOOO
QQQGGGPAAAAAAACCCCCCCCCCCCCCCCCIIFFFFFFFMMMMMMMMMMMMMQQQQLLDDDDDDDGDDSOOOIIIXXXXXXXXXXXZZZJJJJJJJJJJJJFFWWYZZZZZZZZZZEEEKKKKKKKKKKKKKEEEOOOO
QQGGGGGGGAAAAACCCCCCCCCCCCCCCCIIIFFFFFFFFMMRRMMQQQQQQQQQQLLLDDLLDGGGDSOOOOXIXXXXXXXXXXXXKKJJJJJJJWNWWWWWWYAAAAZZZZZEEEEEEEKAKKKKKKOKEEEEEEOO
QQGGGGGGAAAAAAAACCCCCCCCCCCCCCIIIFFFFFFFFMMAAJJQQQQQQQQQQLLLDDLDDGGYOOOOFXXXXXXXXXXXXXXZKJJJJBJTJWWWWWWWWYAAAAZZZZZZEEEEEEKEEOOOOKOKEOEEOOOO
QQGGGGGGGGGGAAAACCCCCCCCCCCIIIIIIIFFFFFFMMMAAAAQQQQQQQQQLLLLDDLLGGGGGOOOOXXXXXXXXXXXXXXZKJJJJBWWWWWWWWWWWWAAAAVVVZEEEEEEEEEEEOOOOOOOOOOOOOOO
QQQGGGGGGGAAAAACCOCCCOOOOOCCIIIIIFFFFFFFFFFAAAAQQQQQQQQQLLLLLLLGGGGGGOOOOOXXXXXXXXXXXXXKKKKKJBWWWWWWWWWWWWAAAAVVVEEEEEEEEEEEOOOOOOOOOOOOOOOO
QQQQGAGGXGAAAAAOOOOOCOOOOOCIIIIIIIFFFFFFFFFAAAAQQQQQQQQQLLLLLNNGGGGGOOOOOOXXXXXXXXXXXXXEKKKKKKKWWWWWWWWWAAAAAAVVVEEEEEEEEEEEOOOOOOOOOOOOOOOJ
QQQQQGGGAAAAAAAOOOOOOOOOORCIIIIIIIIIFFFFFFHHAAAQQQQQQQQQQLLLLNGGGGGOOOOOOOXFXXXXXXXXKKKKKKKKKKKKWWWWWWWWAAAAAAVAVEEEEEEEEEEOOOOOOOOOOOOOOJJJ
QQQQUUUUUUAAAAOOOOOOOOOOOOCIIIVVIIIIFFFFFFFHASAQQQQQQQQQQLLLLNGGGGGGOOOOOOXXXXXXXXXXXKKKKKKKKKKKWWWWWWWWAAAAAAVVVEEEEEEEEEEOOOOOOOOOOOOOJJJJ
QQQQQUEUUUAAAOOOOOOOOOOOOOOIIVVIIIIIFVFYFFSSSSSQQQQQQQQQQLLLLGGGGGGGGOOOOOOXXXNXNXXXXKKKKKKKKKKWKWWWWWWWAAAAAAVVVVEEEEEEEEEEOOOOOOOOOOOJJJJJ
QQQQQEEEEUUAAOOOOOOOOOOOOOOIIVVVIIIIIOOOSSSSSSIQQQQQQQQQQLLLLGGGGGGGGOOOOOOOXXNNNXXXXKKKKKKKKKKKKKWWWWWWAAAAAAWKKVKKEEEEEEEEOOOOOOOOOOOJJJJJ
QQQQQEEEEUUEEOOOOOOOOWZZOOOVVVVVVVVIIOOOOSSSSSSQQQQQQQQQRRLLLLUGGGGGGOOOOOOONNNNNXXONNKKKKKKKKKKKKKWWWWWAAAAAAKKKVKKEEEEEEEEOOOOOOOOOOJJJJJJ
QQQQQEEEEEEEEOOOOOOOSWZWWWVVVVVVVVYIOOOOSSSSSSSQQQQQQQQQLLLLLLLLLGGGGOOOOOOOANNNNNNNNNKKKKKKKKKKKKWWWWWWAAAAKWKKKKKEEEEEEEEEOOOOOOOOOOOJJJJJ
QQQQEEEEEEEEEBOOOOOOOWWWWWVVVVVVVVYYYVOOOOSSSSSQQQQQQQQQLLLLLLLLLAAGHOOONNNNNNNNNNNNNUKKKKKKKKKKKZWZWZZWAAAAKKKKKFKKEEEEEEEIOOOOOOOOOOOJJJJJ
QQQQQEEEEEEEEWWWWOOOWWWWWWVVVVVVVVYYYYOOYOOOOSTQQQQQQLLLLLLLLLLLLAGGHHHONNNNNNNNNNNNNUUKKKKKKKKKZZZZZZZZAAAAKKKKKFEEEEEEEEEEOOOOOOOOOOOOJJJJ
QQQQEEEEEEEEEWWWWWWWWWWWWWVVVVVVVVYYYOOJYOOOOSSTTTTTLLLLLLLLLLLLLLLLHHHOHHHNNNNNNNNNNUUKKKKKKKKYYYYYZZZZAAAAKFFKKFFFEEEEEEEBBOOOOOOOOOOJJJJJ
QQEEEEEEEEEEWWWWWWWWWWWWWWVVVVVVVYYYYOYYYYYOOOOOOOTTTLLLLLLLLLLLLLLLHHHHHHNNNNNNNNNNNNKKKKKKKKKYYYYYZZZZZZKKKFFFFFFFFEDDDDDOOKOOOTOOOKJJJJJJ
QQQEEOEEEEEEWWWWWWWWWWWWWWWVVVVVYOYYYYYYYYYYOOJOOOOTTLLLLLLLLLLLLLLLHHHHHHHNNNNNNNNNNNNKKKKKEKZYYYYYZZZZZHKKKFFNFFFFFODDDDOOOOOOOTOOKKJJJJJJ
QQQQQEEEEEEWWWWWWWWWWWWWWWPPPVPVYYYYYYYYYYYJJOJJOOOTTTTLLLLLLHHLLLHHHHHHHHJNNNNNNNNNNNKKKKKKZZZYYYYYZZHHHHHKKKFFFFFFFDDDDDDOOOOOOTTJJKJJJJJJ
QQQOQQEEEEWWWWWWWWWWWWWWWWWWPPPPPYYYYYYYYYJJJJJTTTTTTTTWWWHHHHHHLHHHHHIIIHJBJGNNNNNNNSKKKKKKZZZYYYYYZZZZHHHHHFFFFFFFFDDDDDDUOOOOOOTJJJJJJJJJ
QOOOOOOEEEWWWWWWWWWWWWWWWWWPPPPPPYYYYYYYYYYYYJJJJTTTTTTWWOHHHHHHHHHHJJIIIJJJJNNNNNNNNJJJCCKKZZZZZZZZKZHHHHHFFFFFFFFFFDDDDLLLLOOOOOJJJJJJJJJJ
QOPOOOOOWWWWWWWWWWWWWWWWWWPPPPPPPPYYYYYYYYYYNNNJTTTTTTTWWHHHHHHHHHHHJJIIIJJJJJNNNNNNNJJJJJJWZZZZZZZZZZZHHHHHHFFFFFFFFDLLLLLLLLOOOOOJJJJJJJJJ
QOOOOOOEEEEEWWVWBBWWWWWWWPPPPPPPPPPYYYYYYYYYYNNTTTHHHTTWWHHHHHHHHHHHJJIIIJJJJJWNNNNNNJJJJJJZZZZZZZZZZZZHHHHHFFFFFFFFFFLLLLLLLLOOOOJJJJJJJJVV
OOOOOOOOEEEWWWVWBBBWWPPPPPPPPPPPPPPYYYYYYYYYTTTTTTHHHHHWWHHHHHHHTHHHJJIIIJJJJJJNNNNJNJJJJJJJJZZZZZZHZZHHHHHHFFFFFFFFFFLLLLLLLLOOJJJJJJJJJJVV
OOOOOOOOEEEWWWVVVBBBBBPPPPPPPPPPPPPYYYYYYTYTTTTTTTVHHHHHHHHHHHHHHHHJJJIIIJJJJJJIVINJJJJJJJJJBBZZZHHHHHHHHHHHHFFFFFFFFFLLLUUULLOOOJJJJJJJJJVV
SOOOOOOSZZZZVVVBBBBBBBUPPPPPPPPPPPPTTTYYYTYYTTTTTTTGGGGGHHHHHHHHHHSSHHHHHJJGJJJIIIIZJJJJJJJJBBZZHHHHHHHHHHHHHFFFFFFFFFLLLUUULLOOOOJJJJJTTTVV
SSSSSSSSSSSZZZZNBBBBBUUPUPPPPPPPPITTTYYTTTYTTTTTTTTGGGGGGHHHHHHHHHHHHHHVHJEJJJIIIIIZJJJJJJNJJHHHHHHHHHHHHHHHFFFFFFFFFFUUUUUULOOOOOOOOVKVVVVV
SSSSSSSSSSZZZZZZBBBBBBUUUPPPPPPPPITTTTTTTTTTTTTTXXXXXXGGGGGHHHHHHHHHHHHIJJJJIIIIIIIIEEJJJNNNHHHHHHHHHHHHHHHHHFFIIIIIFIUUUUUULOOORROOOVVCVVVV
SSSSSSSZZZZZZZZZZBBBBBUUUUUPUUVVPPPTTTTTTTTTTTTTXXXXXXGGGQGHHHHHHHHHCHHIIJJJIIIIIIIIEEEJNNNNHHHHHHHHHHHHHHHHHFFIIIIIIIUUUUUULORRRRROOVVVVVVV
SSSSSSZZZZZZZZZZZBBBBUUUUUUUUUUVPZVTTTTTTTTTTTTTXXXXXXGGGGGHHHHHHHHHCCIIIJIIIIIIIIIIEJJJJNNNXXXXXHHHHHHXHHHHHHFIIIIIIIUUUUUULCCCCCVVVVVVVVVV
SSSSZZZZZZZZZZZZBBBBBBBUUUUVVVVVPVVVTTTTTTTTTTTTXXXXXXGGGGGHPHHPHCHCCCIIIIIIIIIIIIIIJJJJJNNNXXXDHHHHHHHXHHHHIEEEIIIIIIUUUUUUCCCCCCVVEVVVVVVV
SSSZZZZZZZZZZZZBBBBBBBUUUUUVVVVVVVVVTTTTTTTTTTTTTXXXXGGGGUGUPPPPCCCCCCIIIIIIIIJIJJJJJJJJNNXXXXXXHHHHHHXXXHHXIEIIIIIIIIUUUUUUCCCCCCCCVVVVVVVV
SSSSSZZZZZZZZZYBBBBBBBUUEUEVVVVVVVVVVVOTTTTTTTTTXXXXXXXGGUUUPPPPPPPCCCIIIIIIIIJJJJJJJJJJJNNXXXXHHHHHXXXXXXXXIIIIIIIIIIUUUUUUCCCCCCCCCCCCVVVV
SSSSSSZZZZZZZDYYBBBBBBBEEEEVVVVVVVVVVVVJJTTTTTPPXXXXXXXGUUUUPPPPPPPCCIIIIXXIIIJJJJJJJJJJJJXXXXXXXXXXXPXXXPPXIIIIIIIIIIUUUUUUCCCCCCCCCCCCVVVV
SSSSSSZZZZZZYYYYYBSSBBBBEEEEVVVVVVVVVVVVJJTJJPPPXXXXXXXGUUUPPPPPPPPPPXXIXXXXIIJJJJJJJJJJJJXXXXXXXXXXXPPPPPPXPPPIIIIIIIUUUUUUCCCCCCCCCCCCVVVV
SSSSSSSSZZZZZYYSSSSIBBBBEEEEVVVVVVVVVVVVJJJJJJJPXXXXXXXUUUUUPPPPPPPPPYXXXXXIIIJJJJJJJJJJJJFFXXXXXXXPPPSPPPPPPPPHIIIIIIRRRRCCCCCCCCCCCCCCVVVV
SSSSYYYZZZZYZYYYSSSSSSEEEEEEVVVVVVVVVVVJJJJJJJJJXXXXXXXUUUUUPPPPPPPPPXXXXXXXIIIJIAJJJJJJJJFFXXXXXXXPPPPPPPPPPHHHIIINIIRRPRCCCCCCCCCCCCCCVVVV
SSYSYYYYYYYYYYYYYSNEEEEEEEEEVVVVVVVVHHVJJJJJJJJXXXXXXXXUUUUPPPPPPPPXXXXXXXXIIIIIIJJJJJJJJFFFFXXXXXPPPPPPPPPQPHHHINNNNNRRPPCCCCCCCCCCCCCCVVVV
SSYYYYYYYYYYYYYYYNNEEEESEEEEEVVVVVVHHHHJJJJJXXXXXXXXXXXGUUUUPPPPPPPDDXXXXXIIIIIIIJJJJJJJJFFFFXXCXXXPPPPPPPPPPPPHINNNNNNRPPAAAAAAACCCCCCCVVVD
YYYYYYYYYYYYYYYNNNEEEEEEEEEEEVVVVVVHHHHHJJJJXXXXXXXXXXXGGUUUPPPPPPPDDDXXXXIIIIIIOOJJJOOJOYYYFXYCXXXJPPPPPPPPPPPPPNNNNNNNPPPAAAAAACCCCCCCVVVD
YYYYYYYYYYYYYYYNNENEEEEEEEEEEVVVVVHHHHHHJJJJXXXXXXXXUUUUGUUUUUPPKKKDDDDDXXIIIIIOOOOOOOOOOYYYYYYXXXXXPPPPPPPPPPPPNNNNNNNNNPAAAAAAACCCCCCCNVVD
YWWYYUYYYVYYYYYEEEEEEEEEEJEEVVVVVHHHHHHHJJJJXXXXXXXXGGGGGGGUGUUPPKKKKDDDDIIIIIIOOOOOOOOOOYYYYYYBBBBEEEEEEEEEEPPPNNNNNNNNNNAAAAAAACCCCCCCNNNN
WWWWYVTTVVVVXXEEEEEEEEEEEJJEEVSVVVHHHHHHJJJJXXXXXXXXMGGGGGUUGGGGKKKKWDDDDDDIIIAOOOOOOOOOYYYYYYYBBBBEEEEEEEEEEPPPPNNNNNNNVNAAAAAAAAANNNNNNNNN
WQWWYVTVVVVVEEEEEEEEEEEEEEJJJSSSSVSSSHSSSSJJXXXXXXXXGGGGGGGGGGGGKKKKWWDDDDIIIIIOOOOOOOYYYYYYYYYBBBBEEEEEEEEEEPPNNNNNNNNNNNBANAAAAAANNNNNNNNN
QQWVVVVVVVVVVEEEEEEEEEEEEDSSSSSSSSSSSSSSSSSJXXXXXXXXGGGGGGGGGGNGKWKKWWWDDDDDIIIOOOOOOOOYYYYYYYYBBBBEEEEEEEEEENNNNNNNNNNNNNNANNNNAAAANNNNNNNN
VQQVVVVVVVVVVVEEEEEEEEEEEDSSSSSSSSSSSSSSSSSJXXXXXXXGGGGGGGGGGGGGKWWWWWWWDDDDDIIDOOOOOOOOYYYDYYHBBBBEEEEEEEEEEPNNNNNNNNNNFNNANNNNNNMMNNNNNNNN
VVVVVVVVVVVVVVEEREYEEEEDDDDSSSSSSSSSSSSSSSSSXXXXXXXGGGGGGGGGGGGGGWWWWWWWDDDDDDDDOOOOOOOOJYYHHEEEEEEEEEEEEEEEEPNNNNNNNNNNNZNNNNNNNNNNNKNNNNNN
GVGVVVVVVVVVVVVEYYYYDEDDDDDSSSSSSSSSSSSSSSSYYYGGGGGGGGGGGGGGGGGGGWWWWWWDDDDDDDDDOOOOTOOOOYYHCEEEEEEEEEEEEEEEEPNNNNNNNNNNZZZZNNNNNNNNNKNNNNNK
GGGVVVVVVVVVVVVYYYDDDEDDDDSSSSSSSSSSSSSSSSSYYYYGGGGGGGGGGGGGGGGGGGWHHWDDDDDDDDDTTTOOBBBBBBBBBEEEEEEEEEEBGGGBPENNNSSNNNNNNNNNNNNNNUNNNKKKKKNK
GGGGVVVVVVVVVVVYYYDDDDDDDDDUUUSSUUSSSSSSSSSYYYGGGGGGGGGGGGGGGGGGGGWDDDDDDNNDDDDTTTTTBBBBBBBBBEEEEEEEEEEGGGGGEEESRSNNNNJTTNNNNNNNNNNNNKKKKKKK
GGGGVVVVVVVVVVVYYYYYDDDDDDUUUUUUUUSSSSSSSSYYYYGGGGGGGGGGGGGGGGGGGGDDDDNNNNNNDTTTTTTTBBBBBBBBBEEEEEEEEEEHHRSSSSSSSSSNYYTTTNNNNNNNNNNNKKKKKKKK
VGVVVVVVVVVYYYVYYYYYDDDDDDUUUUUUUUUSSSSSSSYYYYGGGGGGGGGGGGGGGGGGGGGDBWNNNNNNNTTTTTTTBBBBBBBBBEEEEEEEEEEHHHSSSSSSSSSYYYTTTNRRNNNNNKKNKKKKKKKK
VVVVVVVVVVVVYYYYYYYYYYDLLDUUUUUUUUUUUSSSSSYYYYGGGGGGGGGGRGYGGGGBBGGBBBNNNNNNNTTTTTTTTTWWXXXHXEEEEEEEEEEHSHSSSSSSSSSSSYYTTTRRRNNNNNKKKNKKKKKK
WVVVVVVVVVYYYYYYYYYYYYDLZUUUUUUUUUUUUSSSSSYYYYGGYGGGGGGGRRYGBBBBGGGBQQNNNNNNNTTTTTTTWWWXXXXHTEEEEEEEEEEHSSSSSSSSSSSSSYTTTTRRRNSSNNKKNNNKKKKK
WVVVVVVVVVYYYYYYYYYYYQDLZZUUUUUUUUUUUSSSSSXYYYYYYYGVVGSGRRYRBBBBBBBBBBNNNNNNNNTTTTTTWHHHRHPHTEEEEEEEEEEHSSSSSSSSSSSSSSSRTRRNNNSSNNNNNNNKKKKK
VVVVVVVVVYYYYYYYYYYYYQLLLLUUUUUUUUUIISSSSXXYYYYYYYGVRGSRRRRRBBBBBBBBNNNNNNNNNTTTTTTHWHHHHHPHHEEEEEEEEEESSSSSSSSSSSSSSSRRRRCCNNNSSCNNNNNNKKKK
IVVJVVVVVJJJYYYYYYYYDLLLLLLWWWUUUUUIIIYSSXXXYYYYYYYRRBRRRRSSBBBBBBBBBBNNNNNNXXXXXXXHHHHHHHHHHEEEEEEEEEESSSSSSSSSSSSSSRRRRRRCCCCSCCNNNNNKKKKK
KKKVVKVVVVVJJYYYYYYYYYYLLLLLWWUUMMMMMIYQXXXXYYYYYYRRRRRRRRRBBBBBBBBBBBNNNNNMXXXXXXXHHHHHHHHHHEEEEEETTTTHNNNSNSSSSSSSSSSRRRRCCCCCCCCCCNNNNKKK
KKKVKKVVVVVJJYYJYYYYDLLLLLLLWWYYYYYYYYYYYYYYYYYYYYRRRRRRRRRRBBBBBBBBBBBNNMNNXXXXXXXXXXXXHHHHHHEEEEETTHHHNNNNNSSSSHSHSHHHHHHCCCCCCCNNNNNNQKMM
KKKKKKKVVVVJJJJJYYYYYLLTLLLLLLYYYYYYYYOYYYYYYYYYYYRRRRRRRRRDBBBBBBBBBBBNNMMMXXXXXXXXXXXXHHHHHHEEEEETTHHHNNNNNNNSSHHHSHHHHHHCCCCCCCNNMMNMQMMM
FKKKKKKKKKJJJJJJYYYYYYYTTLLLLLYYYYYYYYYYYYYYYYYYYYRRRRRRRRRDBBBBBBBBBBNNMMMMXXXXXXXXXXXXHHHHHHEEEEETTHHHHNNNNNNNHHHHHHHHHHHHCCCCCCCNNMMMMMMM
FFFKKKKKKKJJJJJJJTYBTTVTTZLVVVYYYYYYYYUYYYYYYYYYYYYRRRRRRRBBBBYBBBBBBBNMMMMMXXXXXXXXXXXXHHHHHHEEEEETTTHHHHNNNNNNHHHHHHHHHHHHCCCCCCCNNNMMMMMM
FKKKKKKKKKKJJJJJJTTTTTTTVVVVVNYYYYYYYYUYYYYYYYYYYYYYRYYRRYYYYYYBBBBBBNNMMMMMXXXXXXXXXXXXHHHEEEEEEEEZTTHNHHNNNNNNNNNHHHHHHHHCCCCCCCCNNNMNMMMM
FFKKKKKKKJJJJJJTTTTTTTTTVVVVVVYYYYYYYYUUUUYYYYYYYYYYYYYYYYYYYYYBBBBBBBBMMMMMXXXXXXXXXXXXHHEEEEEEEEEZTTNNNHNNNNNNNNNHHHHHHHHCCCCCCCCNNNNNLLLM
FFFKKAAAJJJJJJJTTTTTTTTTVVVVVVYYYYYYYYUUUUYUUYYYYYYYYYYYYYYYYYYBBBBBBBBBMMMMTTXXXXXXXXXXEHEEEEEEEEEZZZNNNNNNNNNNNNNHHVVHHHCCCCCCCCNNNNNNLLLM
FFFKKAAAAJAJJTTTTTTTTTTTVVVVVVYYYYYYYYUUUUUUUYRRRRRYYYYYYYYYYYYBBBBBBBBBMMMMTTXXXXXXXXXXEEEEEEEEEEEZZZNNNNNNNNNNNNNHHVVVHLCCQQNNCNNNNNLLLLLO
FFFABAAAAAAJTTTTTTTTTTTTVVVVVVYYYYYYYYUUZZZUUZRRRYYYYYYYYYYYYYYYBBBBBBBTTTTTTTXXXXXXXXXXEEEEEEEEEEEZZZXZNNNNNNNNNANNNVVVVVCQQQQNNNNNNLLLLLLL
FFAAAAAAAATJTTTTTTTTTTTGVVVIIVYYYYYYYYZZZZZZZZRRRYYYYYYYYYYYYYYZZBBBBBBBBBBBTTXXXXXXXXXXTEEEEEEEEEEZZZZZNNNNNNNNNNNNVVVVVVQQQQQQNNNNNLLLLLLL
FAAAAAAAAATTTTTTTTTTTTTVVVIIIVVVVUUUUUZZZZZZZZRRYYYYYYYYYYYYYYYZZZBBBBBBBBBBTTTTTTTTTTTTEEEEEEEEEEEZZZZZNNNNNNNNNNNVVVVVVFFQQQQQNNNNNLLLLLLL
FAAAAAAAAAATTTTTTTTTTTTTVVIIIUUUUUUUUUUZZZZMMMMYYYKYYYYKYYYYYYYYYYBBBBBBBBBTTTTTTTQTTTTTTEEEEEEEEEEZZZZZNNNNNNNNNNVVVVVVVFFFQFQQNNNNNNLLLLLL
AAAAAAAATTATTTTTTTTTTTTUVVVIUUUUUUUUUUUZMMMMMMYYYYKKKKKKKYYYYBBBBBBBBBBBBBTTQTTQQQQQTTTTTTEZZZZZZZZZZZZZZNNNNNNSSSVVVVVFFFFFFFFQNNIIOIIILLLL
AAAAAAAAATTTTTTTTTTTTTTUUIIIIUUUUUUUUURZMMMMMMYMMYKKKKEEYYYYYBBBBBBBBBBBDQQTQQQQQQQQQTTTTTKZZZZZZZZZZZTZZNNNSSSSSSVVVVVFFFFFFFFIIIIIIIILLLLL
AAAAAAAAAATTSTYTTHHTTTUUUIMIIUUUUUUUUUUUUMMMMMMMMKKKKKEKKKKKBBBBBBBBDDDDDQQQQQQQQQQQQQQQQQQQZZZZZZZZZTTNNNNSSSSSSSVVVVFFFFFFFFBIIIIIIIIILLLL
AAAAAAAAAASSSHTTTHHTOAAUUIIIUUUUUUUUUUUUUMMMMMMMKKKKKKKKKKKBBCCBBBBBDDDDDDQQQQQQQQQQQQQQQQUDZZZZUUZZZTNNNVNNSSSSSSSEVVVFFJFGFFBBBIIIIILLLLLL
AAAAAAAAAAAHHHHHHHHHAAAUUUUUUUUUUUUUUUUUUMMMMMMMKKKKKKKKKKBBBCCCBCBBBDDDDQQQQQQQQQQQQQQQCUUUUUZUUUUUZUUNNSSSSSSSSSSSVVVVVJJQQQQQBIIHIILLLLLL
AAAAAAAPPAPHHHHHHHHHHEAFUFFUUUUUUUAUUUUUUMMMUMMMMMKKKKKKKKBBBCCCBCCBDDDDDDQPQQQQQQQQQPPUCUUUUUUUUUUUZUUUUFUUSSSSSSSSSSSOQJQQQQQQBIHHHLLLLLLL
AAAQAAAPPPPHHHHHHHHHHHAFFFAFUAUUUUAUUUUUUUUUUMMUZMKKKKKKKKBCCCTCCCCCCPDDDDPPQQQQQQQQQPPUUUUUUUUUUUUUUUUUUUUUSSSSSSSSSOSOQQQQQQQQQIHHHLLLLLLL
AAAAAAAPPPPHPPHHHHHAAAAAFFFFAAAAUUUUUUUUUUUUUMUUUUKKKKKKKKCCCCCCCCCCCPPDDDPPPPQQQQQQQPPUUUUUUUUUUUUUUUUUUUUSSSSSSSSSSOOOOOQQQQQQQQQHHLLLLLLL
APAAAAAPPPPPPPHHHHHAAAAAFFFAAAAAUUUUUUUUUUUUUUUUUUUKKKKKKCCCCCCCCCCCPPPPPPPPPPPQPPPQQPPPPUUPPUUUUUUUUUUUUUUSSSSSSSSSSOOOOOOQQQQQQQQHHLLLLLLL
PPPAAPPPPPPPPPHHHAHAAAAAAAFAAAAAUUUUUUUUUUUUUUUUUKKKKKKKKCCCCCCCCCCCCPPPPPPPPPPPPPPPPPPPPPPPPUUUUUUUUUUUUUUSSSSSSSSSSSOOQQQQQQQQQQQQHHLLLULL
PPPPPPPPPPPPPHHHHAAAAAAAAAAAAAAAAUUUUUUUUUUUUUUUUKKKKKKKKKCCCCCCCCCCCCPPPPPPPPPPPPPPPPPPPPPPUUUUUUUUUUUUUUSSSSSSSSSSSSOQQQQQQQQQQQQQHHLLUULL
PPPPPPPPPPPPPPHQHAAAAAAAAAAAAAAATTTUUUUUUUUUUUUUUKKKKKKKKKKCCCCCMMCPPPPPPPPPPPPPPPPPPPPPPPPPUUUUUUUUYUUUUUUSSSSSSSSSSSQQQQQQQQQQQKKQHHLUUUUU

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@ -1,10 +0,0 @@
RRRRIICCFF
RRRRIICCCF
VVRRRCCFFF
VVRCCCJFFF
VVVVCJJCFE
VVIVCCJJEE
VVIIICJJEE
MIIIIIJJEE
MIIISIJEEE
MMMISSJEEE

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@ -1,71 +0,0 @@
import itertools
def solve(file):
grid = [l.strip() for l in file]
ny = len(grid)
nx = len(grid[0])
def get(p):
x,y = p
if 0 <= x < nx and 0 <= y < ny:
return grid[y][x]
return '.'
def flood(initial_point):
c = get(initial_point)
stack = [initial_point]
count = {} # set of points connected to x,y. value is the number of connected neighboring points
while stack:
p = stack.pop()
if p not in count:
count[p] = 0
x,y = p
for n in (x+1,y), (x-1,y), (x,y+1), (x,y-1):
if get(n) == c:
stack.append(n)
count[p] += 1
return count
points = lambda: itertools.product(range(nx), range(ny))
done = set() # set of points which have been counted as part of a shape
total = 0
total2 = 0
for p in points():
if p in done: continue
shape = flood(p)
done |= shape.keys()
area = len(shape)
perim = 0
for p,n in shape.items():
perim += 4-n
#print(get(p), area, perim)
total += area * perim
total2 += area * discount(shape)
print(total)
print(total2)
def discount(shape):
def sides(p):
x,y = p
s = 0
if (x+1,y) in shape: s += 1
if (x-1,y) in shape: s += 2
if (x,y+1) in shape: s += 4
if (x,y-1) in shape: s += 8
return s
# only count a side as free if the neighbor to the north or west
# does not have the same side free
perim = 0
for p in shape:
x,y = p
free = sides(p) ^ 15
if (x-1,y) in shape:
free &= sides((x-1,y))
if (x,y-1) in shape:
free &= sides((x,y-1))
perim += free.bit_count()
return perim
solve(open("sample4.in"))
solve(open("input"))