BM6&6(v@ 666666666666666777777888;;;:::999888777777777777888777666666777999;;;<<<;;;:::999:::<<<===<<<;;;===>>>???>>><<<:::;;;<<<;;;>>>AAABBBAAA@@@??????CCCCCCDDDEEEGGGGGGEEEBBBFFFGGGHHHHHHHHHIIILLLNNNLLLNNNQQQRRRRRRQQQRRRSSSVVVVVVVVVWWWYYY\\\^^^```aaaaaa```___^^^___bbbddd```___```eeejjjllljjjgggdddiiinnnnnniiidddcccdddgggjjjlllllllllpppyyy}}}lll\\\OOOFFFDDDBBB@@@>>>=========>>>>>>===<<<;;;;;;::::::999999999999999999::::::777777666444444333333333222333333333333222111111000111111222222111111000000000111111111111000000000000////////////000000............------------......------------......//////.........---------////////////////////////...........................---,,,,,,,,,,,,---...,,,,,,,,,---------......---------............///............////////////000000111111111222222222444444444555555555555555===:::BBBVVVjjj{{{~~~pppssszzz___III999111...---------,,,,,,++++++++++++++++++*********))))))************************************))))))))))))))))))))))))))))))))))))(((((('''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&''')))***(((((('''''''''&&&&&&&&&''''''&&&&&&&&&%%%666666555555666666777888::::::999888777666666777777777666666777888:::;;;:::999999999;;;<<<;;;:::<<<===>>>===;;;:::;;;<<<:::;;;<<<<<<;;;<<<>>>AAACCCCCCBBBDDDEEEFFFDDDCCCFFFFFFGGGGGGFFFGGGJJJLLLLLLOOOQQQRRRQQQPPPQQQRRRUUUUUUVVVWWWYYY\\\^^^``````___^^^^^^___```bbbbbbddddddeeehhhlllmmmjjjfff```eeejjjkkkgggccccccdddiiikkkllliiigggiiipppvvvtttrrrrrryyykkk[[[QQQHHHBBBBBBAAA@@@>>>===<<<<<<<<<===<<<<<<;;;;;;:::::::::999999999999999999999999777666555444333333333333222333333333333222111111111111222222222222111111000000000000000000000000000//////////////////000//////.........---------......------------......///.........---------,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,...---,,,++++++,,,---...,,,,,,,,,,,,------------------------............---.........////////////000000000111111111222222444444444444444555555555:::777;;;GGGQQQ\\\qqquuuqqqvvvfffMMM;;;222---,,,------,,,,,,,,,++++++++++++++++++*********))))))((((((((((((((((((((((((*********)))))))))(((((((((((((((((((((((((((((((((((('''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%&&&'''((()))))))))((((((((('''''''''''''''&&&&&&&&&%%%666555555555555666777777999999888777666666666666666666666666777888999999:::888888888:::;;;:::999999:::<<<;;;::::::;;;<<<<<<;;;999777777:::@@@DDDCCCBBBAAAAAACCCDDDDDDCCCDDDEEEFFFEEEDDDEEEGGGIIIMMMOOOQQQQQQPPPOOOOOOOOOTTTUUUVVVWWWYYY[[[^^^___aaa___^^^___ccceeedddbbbdddcccdddgggjjjiiiddd```^^^cccggghhhfffddddddeeeggghhhhhhfffcccdddiiimmmllllllnnnqqquuuyyy}}}___MMMFFF???<<<<<<============<<<;;;::::::::::::::::::::::::::::::::::::999999888888777777666666555444333333333333222333333333333222111111222222222333333222222222111111////////////111111//////............///////////////............---...------,,,,,,------.........------------,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++---,,,,,,++++++,,,,,,---++++++,,,,,,,,,---------,,,,,,,,,---------......---------.........//////000000000000111111111111333333333333444444444555:::888888<<<===BBBUUUiiiqqqggglllyyyxxxfffMMM999///,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++***************((((((((((((((((((((((((******))))))))))))((((((''''''''''''''''''''''''(((((((((''''''''''''&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&''''''((()))))))))))))))(((((((((''''''&&&&&&&&&%%%555555444444555555666777888777666666555555555666555555555666666777777888888777666777999:::999888666888999999999999;;;<<<===<<<;;;999:::===BBBGGGBBB@@@>>>???@@@BBBCCCCCCBBBDDDDDDDDDCCCBBBDDDEEEKKKMMMOOOPPPNNNMMMMMMMMMSSSTTTUUUWWWYYY[[[\\\]]]aaa^^^]]]```fffhhhfffbbbdddcccdddgggjjjhhhccc^^^bbbeeehhhhhhgggeeeeeefffaaabbbccccccbbbdddhhhllliiilllooopppooopppsssvvv{{{{{{|||gggMMMHHHFFF>>>;;;???;;;;;;<<<======<<<:::999999999999999999999::::::::::::999888777666666555555555444333222222333333222333333333333222111111222222333333333333222222222111///......///111222///......------......////////////.........------------,,,,,,,,,,,,------------,,,,,,,,,,,,,,,,,,************************++++++++++++++++++++++++,,,,,,++++++++++++,,,,,,++++++++++++,,,,,,,,,,,,+++,,,,,,,,,------------,,,,,,---------........./////////000000000111111111111222222333333444444888555555666777:::FFFSSSqqq|||}}}ssskkkjjjnnnzzz{{{aaaQQQ<<<...+++---///...,,,+++++++++++++++++++++***************************************************)))))))))((((((((((((''''''''''''''''''''''''((((((((('''''''''''''''''''''&&&&&&&&&&&&''''''((('''''''''&&&&&&&&&'''((((((((((((((((((((((((''''''&&&&&&&&&%%%444444444444444555555666666666555555444444555555444444555555555666666555777666555666888888888777444666777888777888999;;;:::;;;<<<<<<<<<>>>BBBDDD@@@>>><<<===???AAABBBBBB@@@BBBCCCCCCAAAAAABBBCCCGGGJJJLLLMMMLLLKKKLLLLLLQQQRRRSSSUUUWWWYYYZZZ[[[]]]ZZZYYY]]]cccfffddd```ffffffgggjjjnnnmmmiiieeeeeefffggggggfffeeeeeeeee```aaabbbcccdddfffiiikkk___dddjjjmmmmmmpppuuuyyysssrrrrrrsssvvvxxxzzzzzzeeeQQQDDDEEEDDD;;;:::@@@;;;;;;=========<<<;;;:::888888999999999999999999999999888777777666555555444333333222222222222333222333333333333222111111111222222333333222222111111000...------...000111......------------..................------------,,,,,,++++++++++++,,,,,,++++++,,,,,,,,,,,,,,,,,,************************++++++++++++++++++++++++***++++++++++++++++++************+++++++++,,,,,,++++++++++++,,,,,,,,,---,,,,,,,,,,,,------------....../////////000000000000000000111222333333444444000///222666999<<<@@@SSSvvvvvvooo|||}}}jjjpppyyykkkLLL@@@333,,,...111111///++++++++++++++++++++++++************************************************)))))))))(((((((((((('''((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%444333333333333444555555555555444444333444444555333444444555555555444444666444444555666777666555333444666666666666777999666888:::;;;;;;;;;===???===<<<;;;<<<>>>@@@@@@@@@>>>@@@BBBBBBAAAAAAAAABBBBBBDDDHHHJJJJJJJJJKKKMMMNNNOOOQQQTTTVVVWWWXXXXXXVVVTTTTTTXXX]]]``````___eeeddddddgggkkkllliiiffffffeeeeeedddddddddcccccceeefffffffffgggggggggggg```cccggghhhhhhiiilllooommmmmmmmmmmmmmmnnnoooooowww{{{wwwmmmfffbbbSSSIIIAAA@@@===888:::@@@<<<<<<=========<<<<<<;;;999999999999999999999999888888777777666666555555333222222111111222222222222333333333333222111111111111111222222111111111000000............000000------,,,,,,,,,,,,---------------,,,,,,,,,,,,+++,,,++++++******++++++,,,******++++++++++++,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++)))******++++++******)))))))))*********+++++++++******+++++++++,,,,,,,,,+++++++++,,,,,,,,,------............////////////...//////000111222333333555222000333888:::888666@@@UUUmmm}}}|||vvvvvvrrrsssdddJJJ:::444...,,,///000///,,,*********+++++++++++++++***************+++++++++(((((((((((((((((((((((())))))((((((((((((''''''(((((((((((((((((((((((('''(((((((((((()))))))))''''''&&&&&&&&&&&&''''''&&&&&&''''''(((''''''&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&%%%333333333222333444444555444444333333333333444444222333444555555444333222555333333444555666555444222444555555444444555777555777888888888888:::<<<:::::::::<<<>>>??????>>><<<>>>AAABBBAAAAAABBBCCC<<>>===<<<;;;;;;;;;;;;;;;;;;;;;::::::999999888888666666666666666666666666222222111111111111222222222333333333333222111111///000000111111000000///////////////////////////------,,,,,,,,,,,,------,,,,,,++++++++++++******++++++************++++++************+++++++++,,,************************************************))))))***++++++***))))))))))))))))))*********+++************++++++++++++++++++++++++,,,,,,,,,,,,------........./////////---......///000111222333555555555555777:::999888<<>><<<;;;===@@@BBBBBBAAABBBCCC888<<>>999<<<<<<:::;;;>>>;;;555>>>===;;;:::999999:::;;;<<<<<<;;;;;;:::999888888555555555666666666666666222111111111111111222222222333333333333222111111//////000000000000//////......////////////......---,,,,,,++++++,,,,,,---+++++++++*********))))))++++++************++++++))))))******+++++++++,,,************************))))))))))))))))))))))))((()))***++++++***)))((())))))))))))************)))************+++++++++******+++++++++,,,,,,,,,---------.........//////------...///000111222222000222444222222555999;;;===:::CCC[[[sss|||uuuvvvfffIII888444///......------,,,,,,+++))))))******++++++++++++))))))******++++++++++++************************)))(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((())))))******'''''''''&&&&&&'''''''''###$$$&&&((())))))(((((('''((((((((())))))******''''''&&&&&&&&&%%%111111111222222333333333222222222222222222222222444333222222111111222222111222222333333222222111111222333444555555555555666666666666777888999:::;;;;;;;;;;;;;;;<<<===>>>@@@@@@?????????@@@AAABBBAAACCCFFFIIIKKKLLLKKKKKKOOOOOOPPPPPPQQQRRRRRRSSSRRRSSSTTTUUUVVVZZZ^^^bbbeeedddccccccddddddbbb```fffgggiiiiiihhhgggggghhhmmmjjjfffdddeeeeeecccaaaiiifffcccbbbdddfffeeecccffffffgggiiijjjjjjgggeeeYYY[[[^^^aaaccceeeffffffaaa^^^ZZZ[[[___dddfffgggmmmttt~~~~~~~~~zzzuuuppplllhhhdddaaaWWWUUUSSSPPPMMMJJJIIIHHHJJJJJJIIIGGGGGGFFFFFFFFFCCCBBBBBBAAA@@@???>>>>>>============<<<;;;:::999;;;999777666777777666555999888888888777777666666555555444444444333333333222222222222222222222222333111//////000///...,,,///////////////////////////...---,,,++++++++++++---,,,,,,++++++,,,,,,---(((***++++++)))(((((()))************************))))))))))))))))))))))))++++++******************))))))))))))))))))))))))))))))))))))************))))))))))))))))))))))))******+++++++++,,,,,,,,,++++++******++++++,,,---....................................////////////222222222222333444555555666999>>>FFFSSSeeexxx~~~cccFFF888111,,,...---,,,,,,++++++,,,,,,---,,,***)))))))))***+++,,,,,,,,,+++++++++******((((((((((((((())))))***'''''''''((((((((((((((())))))((((((''''''&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((('''&&&&&&&&&%%%'''%%%%%%)))'''###111111111222222222333333222222222222222222222222333333222111111111111222111222222222222222222111111222333444555555555555555555555555666777888888;;;;;;::::::;;;;;;<<<======>>>>>>???@@@@@@AAAAAABBBCCCEEEGGGIIIJJJJJJJJJMMMMMMNNNOOOOOOPPPQQQQQQSSSSSSTTTTTTTTTWWWZZZ]]]aaaaaaaaabbbddddddcccbbbeeefffhhhhhhggggggiiijjjkkkhhheeedddeeeeeecccaaacccaaa```aaaeeehhhiiihhhgggfffggghhhjjjiiigggeee^^^___`````````___^^^^^^```]]]ZZZZZZ]]]___``````ZZZ^^^bbbddddddcccdddfffeeehhhkkknnnoooqqqsssuuuvvvxxxyyyyyyxxxuuuqqqooollljjjhhhdddaaa]]][[[YYY[[[XXXTTTPPPNNNLLLIIIFFFIIIHHHFFFDDDCCCAAAAAAAAABBBBBBAAA@@@????????????@@@@@@??????>>>======<<<=========<<<<<<;;;:::999;;;999777666777777666555888777777777666666666555444444444444333333333333222222222222222222222222111000//////000000...,,,..............................---,,,++++++++++++,,,,,,++++++++++++,,,,,,)))***,,,+++)))(((((()))************************))))))))))))))))))))))))************************))))))))))))))))))))))))(((((()))))))))*********))))))))))))))))))))))))************++++++++++++++++++******++++++,,,---------------------------............////////////222111111222222333444555333666999:::???MMMaaappp|||yyyxxxiiiJJJ888222111111------,,,++++++++++++,,,,,,+++******)))))))))***++++++*********))))))))))))))))))))))))******+++))))))((((((''''''&&&&&&((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((('''''''''''''''''''''''''''&&&&&&&&&###***///---%%%111111111111111222222222111111111111111111222222333222222111111111111111111111222222222222111111111111222333444444444444444333333444444555666777:::::::::999::::::;;;<<<:::;;;===???AAAAAAAAAAAACCCCCCCCCDDDEEEGGGHHHIIIKKKLLLLLLMMMMMMNNNNNNNNNSSSSSSTTTSSSSSSTTTVVVYYY^^^]]]^^^```bbbccccccbbbaaabbbcccddddddeeegggjjjgggfffddddddddddddcccaaa```______aaadddggghhhhhhdddddddddeeefffeeebbb`````````___^^^]]][[[YYYXXX^^^\\\ZZZYYYZZZZZZYYYXXXTTTUUUUUUSSSQQQPPPRRRSSSQQQSSSTTTUUUVVVWWWZZZ]]]^^^^^^^^^]]][[[YYYVVVUUUNNNMMMLLLKKKIIIHHHGGGFFFGGGEEEBBBAAAAAA@@@???===AAAAAA@@@?????????@@@@@@AAA@@@???>>>>>>>>>>>>>>>>>>======<<<<<<;;;;;;;;;<<<<<<<<<<<<;;;:::999999:::888666666666777666555666666555555555555444444444444444333333333222222111111111111111111111111/////////000111111///,,,...........................---,,,++++++***++++++,,,,,,++++++++++++,,,,,,)))+++,,,,,,***))))))***************************))))))))))))))))))))))))************************))))))))))))))))))))))))(((((())))))))))))******))))))))))))))))))))))))))))))))))))************+++************+++,,,,,,---------------------------............/////////111111111111222333444444444777888444222;;;MMM]]]wwwzzzrrroooqqqrrrzzznnnGGG444///---...000------,,,+++++++++++++++******++++++******))))))******)))))))))(((((((((******))))))******+++,,,******)))((('''&&&%%%%%%'''''''''((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''')))((((((((('''&&&&&&&&&&&&&&&&&&''''''''''''''''''777AAA777)))$$$000111111111111111111111000000000111111111111111222222111000000000000000000000111111111111000000000111222333333444444444333333333333444555666777999999999888888999999:::888:::===@@@BBBCCCBBBBBBCCCBBBAAAAAABBBDDDFFFGGGKKKKKKKKKLLLLLLLLLMMMMMMQQQRRRSSSSSSRRRSSSVVVXXX\\\\\\\\\^^^```aaaaaa___[[[\\\^^^^^^___aaadddgggcccccccccdddddddddbbbaaabbbbbbaaaaaabbbccccccbbbbbb```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cccxxxzzz{{{mmmMMM333000333...***,,,---,,,,,,+++***+++++++++((()))***++++++***)))(((******)))))))))((((((((())))))(((((())))))***+++))))))((((((''''''&&&&&&&&&&&&''''''(((((())))))''''''''''''''''''''''''''''''''''''''''''''''''))))))((('''&&&&&&%%%%%%%%%&&&&&&&&&'''(((((((((,,,???GGG999,,,+++000000000000000000000000/////////000000111111111222111000000//////000000///000000111111000000//////000111222333333333333444444444444555666777777888888777777777777888888888:::>>>AAACCCCCCCCCCCCBBBAAA@@@???@@@BBBEEEFFFKKKKKKKKKKKKKKKLLLLLLLLLMMMOOOQQQSSSSSSUUUXXXZZZ]]]\\\\\\]]]______^^^\\\ZZZ\\\]]]^^^^^^```bbbdddaaabbbdddeeedddcccbbbaaabbbbbbbbbbbb```_________aaa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```cccffffffeeecccbbbaaa```dddhhhiiifffcccaaa```[[[]]]``````___^^^___```ZZZYYYXXXZZZ\\\^^^___^^^aaa```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hhhtttuuu}}}xxx^^^EEE444333111...,,,***+++///222,,,++++++***************((((((((((((((()))************)))))))))((((((((('''''''''''''''((())))))&&&&&&''''''(((((())))))((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&)))((('''%%%%%%&&&000000//////.........------------...///000000111000000///.....................////////////.........///000111111222222222111111111111222333444555777666555444444444444444888888999999;;;<<<>>>???======>>>@@@BBBDDDEEEGGGGGGGGGGGGFFFFFFFFFFFFFFFGGGJJJMMMOOOPPPRRRTTTVVVXXXXXXYYY[[[___``````___```cccfffgggeeeaaa___^^^```eeeiiijjjgggccc``````[[[^^^aaaaaa^^^\\\]]]^^^SSSSSSTTTWWW[[[___aaaaaaaaa___]]][[[YYYYYYYYYYYYSSSUUUUUURRRNNNLLLNNNPPPJJJIIIIIILLLOOOPPPNNNKKKFFFHHHJJJJJJHHHFFFFFFFFFGGGHHHIIIIIIIIIHHHFFFEEEDDDDDDCCCCCCCCCCCCCCCBBBAAA???>>>>>>?????????>>>===<<<<<<<<<<<<===>>>>>>======<<<<<<<<<======>>>999999:::;;;<<<<<<======999999:::999999888777666555444222333444555555444111111222222333333333333111111111111000000000000////////////////////////444111---++++++---------------------------------+++***************++++++))))))(((((((((((())))))'''(((***)))'''&&&&&&'''))))))))))))))))))))))))((((((((((((((((((((((((&&&''''''((()))******+++((((((((((((((((((((((((''''''''''''((((((((()))))))))))))))))))))))))))))))))))))))************)))))))))))))))******+++************************,,,,,,,,,---------......---------------///000000,,,///000///---...333888444999>>>@@@@@@EEETTTbbboooqqqyyyvvvvvv|||wwwqqqvvvhhhJJJ999444444+++//////+++))),,,---+++,,,++++++***)))*********)))(((''''''''')))***+++)))(((((((((''''''''''''((((((((((((((()))******((((((((((((((('''''''''))))))(((((('''''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&(((((((((''''''&&&&&&%%%&&&$$$%%%'''%%%"""//////............//////..............................///000000///...---..............................///000000000000000000000111111111222222222333333333333333333333333444555666888:::<<<===>>><<<>>>@@@@@@@@@???@@@AAAGGGFFFEEEEEEEEEFFFGGGHHHIIIJJJKKKJJJIIIKKKQQQUUUSSSVVV[[[]]]]]]]]]\\\]]]aaabbbaaa___\\\\\\]]]______```bbbdddcccaaa___]]]^^^\\\[[[\\\]]]^^^]]][[[MMMNNNHHHNNNaaafff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qqqvvvyyyvvvxxxwww}}}wwwZZZCCC777333222111......---------,,,,,,,,,...---++++++++++++***((())))))))))))))))))))))))&&&&&&''''''(((((())))))'''''''''''''''((())))))(((((((((((((((((((((((('''''''''&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&''''''''''''''''''&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%'''((((((((('''&&&&&&&&&&&&&&&&&&&&&///......------......///........................---...///000//////...---..............................///000000000000///000000000111111111222222222222222222222222222222444555666888:::;;;======;;;===???@@@??????@@@AAAFFFEEEEEEDDDEEEFFFGGGHHHKKKLLLLLLKKKJJJKKKPPPTTTSSSVVVYYY[[[[[[ZZZ[[[[[[______^^^\\\ZZZZZZ[[[]]]______```aaa```^^^\\\[[[ZZZZZZYYYXXXWWWVVVUUUUUUNNNJJJDDDLLL```ccc]]]```]]]^^^^^^]]][[[ZZZ[[[]]]VVVRRRPPPTTTUUUQQQNNNNNNOOONNNMMMMMMNNNMMMKKKIIIJJJJJJIIIHHHGGGGGGFFFFFFHHHHHHGGGGGGGGGFFFFFFFFFFFFCCCCCCGGGFFFBBBAAADDDBBBAAA@@@???>>>>>>>>>>>>===>>>??????@@@@@@@@@???>>>>>>===<<<;;;;;;;;;;;;;;;:::999888888888999999777777777777777666444444333333333333333333333333222222222111111000000000000000000/////////......///......---------------,,,,,,,,,,,,,,,,,,,,,,,,***************************+++++++++,,,,,,)))&&&))))))(((((((((((())))))---,,,***'''&&&&&&'''(((...,,,)))'''&&&'''((()))))))))))))))))))))))))))(((((((((((())))))))))))'''''''''(((((((((((((((((((((((((((((((((((((((((()))))))))'''&&&'''((((((((((((((())))))))))))))))))(((((((((((())))))))))))*********+++++++++*********+++,,,---...///,,,,,,,,,,,,,,,---......---///000000///...000111111222222222222555999<<>>>>>???@@@CCCCCCCCCCCCDDDFFFGGGHHHJJJKKKJJJIIIIIIJJJMMMPPPTTTUUUWWWWWWWWWWWWXXXZZZ[[[\\\[[[YYYWWWWWWYYY[[[___^^^^^^]]][[[ZZZYYYXXXXXXZZZZZZXXXSSSPPPQQQSSSSSSNNNLLL]]]pppjjj^^^bbb^^^^^^^^^]]][[[ZZZ[[[\\\WWWTTTTTTWWWVVVQQQLLLKKKLLLKKKJJJKKKLLLLLLJJJIIIIIIIIIHHHHHHGGGGGGFFFFFFGGGGGGGGGGGGFFFFFFFFFEEEIIIGGGFFFHHHFFFBBBAAABBBCCCBBBAAA???>>>============>>>>>>???????????????======<<<;;;::::::::::::888888888777888888999:::777777777777666555444333222222222222222222222222111111111111000000000000000////////////.........///...------,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,************************+++))))))***++++++)))'''((((((''''''''''''((((((...,,,)))'''%%%&&&''')))444...)))&&&&&&''''''&&&))))))))))))))))))))))))(((((((((((())))))))))))&&&&&&''''''((()))))))))(((((((((((((((((((((((('''((()))((('''&&&'''((((((((((((((())))))))))))))))))(((((((((((()))))))))))))))*********++++++++++++******+++,,,,,,---,,,,,,++++++,,,,,,---...---...//////......///111---///000111111333555888<<>>...333FFFOOOEEE777------------,,,,,,,,,,,,---,,,******++++++***((())))))))))))))))))))))))(((((((((((((((''''''''''''''''''''''''((())))))))))))))))))))))))))))))'''&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&$$$""" """$$$&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&---,,,,,,++++++,,,,,,---------------------------,,,---------............------------------------------...////////////.../////////000000000111111000000000111111111111111333444555666888999:::;;;:::<<<>>>>>>======>>>???AAAAAABBBCCCDDDEEEFFFGGGFFFFFFFFFGGGHHHJJJLLLNNNSSSTTTTTTTTTSSSSSSVVVXXXYYYYYYYYYWWWVVVVVVXXXZZZ___^^^\\\ZZZXXXXXXXXXXXXYYY\\\^^^[[[VVVSSSTTTXXXZZZYYYaaa|||zzzcccbbb``````___]]]YYYWWWXXXYYYVVVSSSSSSUUUTTTNNNKKKKKKLLLKKKJJJKKKLLLKKKIIIGGGHHHHHHHHHHHHGGGGGGFFFFFFGGGFFFFFFFFFFFFEEEEEEEEEHHHGGGFFFFFFEEECCCAAAAAACCCBBBAAA???>>>===<<<<<<======>>>>>>???>>>>>>===<<<<<<;;;999999999999999666666666777888999::::::666666666666555444333333222222222222222222222222000000000000000000000000/////////.........------...------,,,,,,,,,,,,,,,++++++++++++++++++++++++************************---)))%%%&&&'''''')))+++)))((((((''''''(((((()))***)))'''&&&'''***---///555...'''%%%''')))(((&&&(((((((((((((((((((((((((((((((((((())))))))))))'''''''''((((((((((((((((((((((((((((((((((((((('''((()))((('''&&&'''((((((((((((((())))))))))))))))))(((((((((((())))))))))))))))))************++++++************+++++++++++++++++++++,,,,,,---,,,...//////...---///000+++---000111111111333555444EEE[[[lllvvv}}}wwwkkkqqqyyy}}}wwwwww{{{yyynnnbbb]]]\\\aaammmyyy|||~~~sssYYYKKK666333111333777999666333---------,,,,,,,,,++++++---+++******++++++***((())))))))))))))))))))))))))))))((((((''''''&&&&&&'''''''''''''''((())))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%'''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%&&&&&&&&&&&&'''%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&,,,,,,++++++++++++,,,,,,------------------------,,,,,,,,,,,,,,,---......------------------------,,,,,,---...................../////////000000000111111111111222222333333333333444555777888999999999;;;======<<<<<<===>>>??????@@@BBBCCCDDDEEEEEECCCCCCDDDFFFIIIMMMOOOPPPRRRRRRRRRQQQPPPQQQTTTVVVWWWXXXXXXWWWUUUVVVXXXZZZ^^^]]][[[YYYXXXXXXYYYZZZZZZ]]]```^^^ZZZXXX[[[___^^^___kkkjjjfffbbbaaa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iii~~~yyyzzzzzzyyy}}}~~~yyyrrrsssxxx~~~}}}~~~tttmmmgggkkkpppsssvvvyyy}}}fffHHH999555,,,///111000,,,)))+++---------,,,,,,,,,+++++++++,,,***)))***++++++***((((((((((((((((((((((((((())))))((((((''''''&&&&&&'''''''''''''''((())))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&'''(((((('''&&&%%%%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&---,,,,,,++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++,,,......,,,,,,,,,,,,,,,,,,,,,,,,+++,,,------......------............////////////000000111111222333333333222333333444666777777888888:::<<<<<<;;;;;;<<<===>>>???@@@AAABBBBBBBBBBBBCCCCCCDDDGGGLLLPPPRRRRRROOOPPPPPPPPPOOOPPPSSSUUUVVVVVVWWWVVVUUUVVVXXX[[[ZZZZZZYYYXXXYYYZZZ[[[\\\ZZZ\\\___^^^]]]\\\___aaa___^^^dddzzzllljjj```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qqq{{{{{{~~~uuutttvvvxxx}}}www\\\HHH999111000555222///000333444333000,,,,,,,,,,,,+++++++++++++++***))))))***+++***)))(((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%&&&&&&&&&&&&%%%%%%"""$$$&&&((((((&&&$$$"""%%%&&&&&&&&&''''''''''''%%%%%%%%%$$$%%%&&&&&&'''&&&&&&&&&&&&&&&&&&------,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,+++*********+++,,,---...,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,------------,,,------.........///////////////000000111222222333222222333444555666666777777999;;;;;;;;;:::;;;======>>>@@@AAAAAAAAA@@@@@@CCCBBBCCCFFFKKKOOOPPPOOOMMMNNNOOOPPPPPPQQQSSSUUUTTTUUUUUUUUUTTTUUUXXXZZZUUUVVVVVVXXXYYY[[[]]]^^^\\\]]]]]]^^^______```aaa______]]]gggxxxtttfffccc[[[[[[YYYUUUPPPMMMMMMMMMMMMLLLMMMNNNLLLGGGHHHMMMLLLKKKIIIIIIIIIHHHFFFDDDDDDFFFGGGHHHHHHGGGFFFEEEEEEEEEDDDDDDDDDCCCCCCCCC>>>BBBCCC@@@@@@CCCBBB>>><<<;;;;;;::::::;;;;;;;;;<<<=========<<<<<<;;;:::999888777666555555555555333444666777777777777666444444555444444333222111000000000000000000000000---------....../////////---------,,,,,,,,,,,,+++,,,,,,+++***************************************************************(((%%%***666888...'''((())))))(((((((((((()))))))))))))))******)))))))))'''''''''''''''((((((((())))))))))))))))))))))))(((((((((((())))))))))))******)))((('''&&&&&&%%%((((((((((((((((((((((((&&&'''((((((''''''(((***(((((((((((())))))))))))))))))(((((((((((())))))(((((((((((()))))))))***))))))((((((((())))))***)))))))))))))))***++++++***,,,------,,,,,,---...,,,---////////////111333333777<<>>>>>@@@AAAAAA@@@???>>>AAA@@@@@@CCCHHHKKKKKKIIIKKKMMMOOOPPPPPPQQQSSSUUURRRSSSTTTSSSSSSTTTWWWYYYQQQRRRTTTWWWYYY\\\]]]^^^```___^^^___aaabbbaaa```aaaccc^^^aaannnlll^^^WWWWWWWWWVVVSSSOOOMMMMMMMMMKKKLLLOOOQQQNNNGGGFFFIIIIIIGGGGGGGGGHHHHHHFFFEEEDDDEEEGGGHHHHHHGGGFFFEEEEEEDDDDDDDDDCCCCCCCCCCCC???DDDDDD@@@???CCCBBB===::::::999999999:::;;;;;;<<<=========<<<;;;;;;:::888777666555555444444555444444666777777777666555444444444444333222111111000000000000000000000000---------.........//////---------,,,,,,,,,++++++,,,++++++***)))*********************************************************---%%%$$$,,,...((('''---((((((''''''''''''((((((%%%&&&((()))))))))((('''&&&''')))((('''%%%%%%&&&))))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((('''''''''((((((((((((((((((((((((%%%'''((((((''''''(((***(((((((((((())))))))))))))))))(((((((((((())))))(((((((((((())))))))))))((((((((((((((()))******)))))))))))))))******+++***,,,------,,,+++---...+++---...------...000222///111444999>>>CCCFFFGGGFFFIIITTTbbbfffjjj{{{}}}qqqTTTFFF:::555333...---000---111333111,,,)))+++...,,,,,,,,,+++++++++*********)))((()))***+++***)))((((((((((((((((((((((((&&&'''''''''(((((())))))'''''''''''''''((())))))((((((((((((((((((((((((%%%%%%%%%&&&&&&'''''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''((((((&&&%%%$$$###$$$%%%&&&'''&&&&&&&&&&&&&&&&&&++++++++++++++++++++++++---,,,++++++******++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++***))),,,,,,,,,,,,,,,,,,,,,,,,------------------------------......///000000000111222222333333444444555555555666777888999::::::===<<<;;;:::;;;===???@@@???@@@BBBDDDEEEFFFGGGGGGGGGHHHIIIJJJKKKNNNRRRUUUVVVTTTRRRSSSVVVWWWVVVUUUUUUUUUWWWXXXYYYYYYZZZZZZ___]]][[[[[[\\\]]]\\\[[[]]]]]]^^^^^^]]]\\\ZZZYYYWWWWWWWWWVVVTTTQQQOOOMMMQQQPPPNNNLLLJJJIIIHHHHHHKKKKKKJJJIIIHHHFFFEEEDDDFFFFFFFFFEEEDDDDDDCCCCCCCCCCCCBBBBBBBBBAAAAAAAAA@@@@@@@@@@@@@@@@@@@@@@@@>>><<<;;;999888888999999;;;;;;;;;:::::::::999999777777666555444333333333555555444333333222111111111111111111111000//////////////////////////////------------------------...------,,,,,,------...************************************************))))))))))))))))))))))))******))))))))))))******((((((((((((''''''''''''%%%'''(((((('''&&&&&&'''''''''''''''''''''&&&&&&))))))))))))))))))))))))))))))((('''''''''''''''((('''&&&%%%%%%&&&'''((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&'''''''''((()))(((&&&%%%%%%&&&'''(((((((((((((((((()))*********))))))((('''&&&&&&&&&(((((((((((())))))))))))(((((((((((())))))))))))************+++,,,------+++,,,---...////////////222333444444333555888:::???888999@@@FFFQQQiiikkkUUUFFF444333222111000...------......---------,,,,,,,,,************************))))))))))))))))))))))))******))))))((((((''''''&&&&&&''''''(((((())))))'''''''''&&&&&&%%%%%%%%%'''''''''&&&&&&%%%%%%%%%'''(((((((((((((((''''''(((''''''&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%''''''&&&%%%&&&&&&&&&&&&&&&&&&++++++++++++++++++++++++---,,,++++++******++++++++++++++++++++++++++++++++++++,,,,,,,,,+++******,,,,,,,,,,,,,,,,,,,,,,,,---------------------------------...//////000000111111222222333444444444444555555666777888999:::===<<<;;;:::;;;===???@@@???@@@AAACCCDDDEEEEEEEEEFFFGGGHHHIIIJJJMMMRRRUUUWWWUUUTTTTTTWWWYYYXXXWWWWWWWWWXXXXXXYYYXXXXXXXXX\\\[[[YYYZZZ[[[\\\\\\[[[\\\\\\]]]\\\[[[YYYWWWVVVVVVWWWWWWVVVTTTRRRPPPNNNPPPOOOMMMKKKIIIHHHGGGGGGHHHHHHHHHHHHHHHGGGFFFEEEFFFEEEEEEDDDDDDCCCBBBBBBAAAAAAAAAAAA@@@@@@@@@@@@>>>>>>>>>>>>>>>>>>>>>>>><<<;;;:::999888888888999::::::999999999888888888777666555444444333333333555444444333222222111111000111111111111000//////........................------------------------,,,++++++++++++++++++,,,************************************************))))))))))))))))))))))))******))))))))))))******((((((((((((''''''''''''%%%'''(((((('''&&&&&&'''''''''''''''''''''''''''(((((((((((((((((((((((())))))((('''''''''''''''((('''&&&&&&&&&&&&'''((((((((('''''''''&&&&&&&&&&&&&&&'''''''''(((((((((((('''&&&&&&&&&&&&'''(((((((((((((((((())))))***)))))))))((('''&&&&&&&&&'''((((((((())))))))))))))))))))))))************,,,,,,++++++***+++++++++++++++,,,---...............///000000000111333555666111111666:::AAATTTiiiyyyxxxvvv~~~uuu```QQQEEE:::222111111111000000//////...------------,,,,,,,,,,,,************************))))))))))))))))))))))))))))))))))))((((((''''''''''''''''''(((((((((((('''''''''&&&&&&%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%''''''&&&%%%%%%%%%%%%%%%%%%%%%++++++++++++++++++++++++,,,,,,+++************+++++++++++++++++++++++++++******++++++,,,+++++++++******++++++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---......//////000000000111111222333333444444444555666777888888999<<<;;;;;;;;;;;;===>>>@@@>>>???@@@AAABBBBBBBBBBBBDDDEEEGGGHHHJJJMMMQQQTTTWWWVVVUUUVVVXXXZZZZZZYYYXXXXXXYYYYYYXXXWWWWWWVVVYYYXXXWWWXXXZZZ[[[[[[[[[ZZZ[[[[[[ZZZXXXVVVTTTRRRVVVVVVVVVVVVUUUSSSQQQPPPOOONNNLLLJJJHHHGGGGGGFFFEEEEEEFFFGGGGGGFFFFFFFFFEEEDDDDDDCCCBBBBBBAAAAAA@@@@@@@@@?????????>>>>>><<<<<<<<<<<<<<<<<<<<<<<<;;;:::999888777777777888888888888777777777666666777666555444333333333333444444333333222111111111000000111111000000///...........................------------------------******))))))))))))******************************************************))))))))))))))))))))))))***))))))(((((())))))***((((((((((((''''''''''''%%%'''(((((('''&&&&&&'''''''''''''''''''''''''''(((((((((((((((((((((((()))(((''''''&&&'''''''''((('''&&&&&&&&&&&&'''((('''''''''''''''&&&&&&&&&''''''((((((((()))))))))&&&&&&&&&&&&&&&'''((()))((((((''''''(((((()))***))))))(((((('''&&&&&&&&&''''''((((((((()))))))))))))))*********+++++++++---,,,,,,+++******))))))******+++,,,------------***,,,////////////000111333000111555777:::GGGVVV___iiinnnooo{{{~~~uuuuuu{{{jjjRRR>>>444000...,,,//////////////////000000---------,,,,,,,,,++++++************************)))))))))))))))))))))))))))))))))(((((((((((('''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$""""""###$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%''''''&&&%%%%%%%%%%%%%%%%%%%%%++++++++++++++++++++++++,,,++++++***************************************((()))***+++++++++++++++))))))***+++,,,------...+++++++++++++++++++++++++++,,,,,,---......////////////000111111222222333333333444555666777777888;;;;;;::::::;;;<<<>>>>>>===>>>??????@@@@@@@@@@@@AAACCCEEEGGGIIILLLPPPRRRUUUTTTTTTUUUWWWYYYZZZZZZWWWXXXXXXXXXXXXXXXWWWWWWXXXWWWVVVVVVXXXYYYYYYXXXXXXXXXYYYYYYXXXVVVTTTSSSUUUVVVVVVVVVUUUTTTRRRQQQMMMLLLKKKIIIHHHGGGFFFFFFDDDDDDEEEEEEEEEEEEDDDDDDDDDCCCCCCBBBBBBAAA@@@@@@@@@@@@?????????>>>>>>>>>;;;;;;;;;;;;;;;;;;;;;;;;999999888777777777777777666666666666555555555444666555444444333333333444333333222222111111111000000000000000000//////...........................,,,,,,,,,,,,,,,,,,,,,,,,)))))))))(((((()))))))))************************************************))))))))))))))))))))))))))))))(((((((((((())))))((((((((((((''''''''''''%%%'''(((((('''&&&&&&'''&&&&&&&&&'''''''''''''''(((((((((((((((((((((((((((''''''&&&&&&''''''''''''''''''&&&&&&'''''''''''''''''''''''''''''''''(((((((((((())))))))))))%%%%%%%%%&&&'''((())))))(((''''''''''''((())))))(((((((((''''''&&&&&&&&&'''''''''((((((((())))))((())))))))))))*********+++++++++++++++***)))))))))***+++,,,,,,,,,,,,,,,+++---000111111000000111222111444888999:::BBBLLLMMMTTTYYY\\\hhh{{{tttssstttzzzxxxUUUKKK???777333333111000........................,,,,,,,,,,,,++++++++++++************************(((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%%%%######$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%''''''&&&%%%$$$$$$$$$$$$$$$$$$++++++++++++++++++++++++,,,+++******))))))******************************((()))******++++++++++++))))))******+++,,,------++++++++++++++++++++++++++++++,,,,,,------............//////000111111222222222333444555666666777999999999::::::;;;<<<<<<<<<<<<===>>>>>>???>>>>>>???AAADDDFFFGGGJJJMMMPPPPPPQQQRRRSSSTTTUUUWWWYYYUUUVVVWWWXXXYYYYYYYYYYYYYYYXXXVVVVVVWWWXXXXXXWWWVVVWWWXXXYYYZZZYYYXXXWWWUUUUUUVVVVVVUUUTTTRRRQQQLLLLLLJJJIIIGGGFFFFFFFFFEEEEEEEEEEEEDDDCCCBBBBBBCCCCCCCCCBBBAAAAAA@@@@@@@@@@@@@@@@@@????????????;;;;;;;;;;;;;;;;;;;;;;;;777888888777777777666666555555444444444333333333555444444333333333333444222111111111111111000000000000000000000///..............................,,,,,,,,,,,,,,,,,,,,,,,,******))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((())))))(((((((((((())))))((((((((((((''''''''''''%%%'''(((((('''&&&&&&'''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&''''''''''''''''''&&&&&&'''''''''''''''''''''(((((((((((())))))))))))$$$%%%&&&''''''((())))))'''''''''''''''(((((()))''''''''''''&&&&&&&&&&&&''''''''''''(((((((((((('''''''''(((((((((((()))((()))***++++++++++++*********++++++,,,+++++++++,,,...111111111000000111...///222555555444888===>>>???FFFPPPUUUZZZhhhwww}}}nnnnnnsssyyyzzzxxxyyy}}}sssWWWDDD555333000///111111...,,,//////......---,,,,,,+++,,,,,,+++++++++*********))))))))))))))))))))))))(((((((((((((((((((((((('''''''''''''''(((((((((((((((''''''&&&&&&%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%&&&'''(((''''''&&&&&&%%%%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%''''''&&&%%%$$$$$$$$$$$$$$$$$$++++++++++++++++++++++++++++++***))))))))))))***************************))))))******+++*********))))))******++++++,,,,,,******************************+++,,,,,,------...------...//////000000111111111222333444555555666777777888888999999:::::::::;;;<<<===>>>>>>>>>>>>>>>AAACCCEEEFFFHHHJJJLLLKKKMMMOOOPPPPPPRRRUUUWWWTTTUUUVVVXXXYYYZZZZZZZZZYYYXXXVVVWWWXXXZZZYYYXXXVVVWWWYYY[[[\\\\\\[[[[[[UUUUUUUUUUUUTTTRRRPPPOOOLLLKKKJJJIIIHHHGGGGGGGGGEEEEEEEEEEEEDDDCCCBBBAAADDDCCCCCCBBBAAAAAA@@@@@@@@@@@@@@@????????????>>>;;;;;;;;;;;;;;;;;;;;;;;;777777888888888888777666444444444333333333333222444444333333333333444444000000000000000000000000//////000000//////...---------------------------,,,,,,,,,,,,,,,,,,,,,,,,++++++************++++++))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((()))((((((''''''(((((()))((((((((((((''''''''''''%%%'''(((((('''&&&&&&'''%%%%%%&&&&&&'''(((((((((''''''''''''''''''''''''&&&&&&&&&%%%&&&&&&'''(((&&&&&&'''(((((('''&&&&&&&&&&&&&&&'''''''''''''''''''''((((((((()))))))))%%%%%%&&&'''((((((((('''''''''&&&&&&''''''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((&&&&&&&&&'''''''''((((((&&&((()))+++,,,++++++******++++++,,,,,,++++++++++++---//////...---...///000111222222000//////111555444<<>>?????????>>>AAACCCEEEEEEFFFHHHIIIHHHKKKMMMNNNNNNPPPSSSVVVVVVVVVWWWXXXYYYYYYYYYXXXWWWVVVVVVWWWZZZ]]]]]]]]]XXXYYYZZZ\\\\\\\\\[[[[[[UUUUUUUUUTTTSSSPPPNNNMMMMMMLLLKKKIIIHHHHHHHHHHHHDDDDDDEEEEEEEEEDDDDDDCCCDDDDDDCCCCCCBBBAAAAAAAAA??????>>>>>>>>>=========::::::::::::::::::::::::777777888999999888888777444444444333333333222222444333333222333333444444000000000000000000000000//////000000//////...---------------------------+++++++++++++++++++++++++++******))))))******+++))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((((((((''''''''''''((((((((((((((((((''''''''''''%%%'''(((((('''&&&&&&'''%%%%%%&&&&&&'''(((((()))''''''''''''''''''''''''&&&%%%%%%%%%&&&&&&'''(((&&&&&&'''(((((('''&&&&&&&&&&&&&&&'''''''''((((((&&&&&&'''''''''(((((((((%%%&&&'''((((((''''''&&&'''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((''''''''''''(((((((((((('''(((***++++++***)))(((+++,,,,,,,,,,,,,,,++++++,,,---------,,,,,,...///111222222111000000000000111555:::>>>???@@@EEEKKKMMMTTT___hhhqqq}}}kkkYYYGGG===888444333555444222///---------------,,,,,,,,,,,,+++++++++++++++*********))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))&&&&&&&&&'''''''''((((((%%%&&&&&&&&&&&&&&&&&&'''&&&'''''''''((((((((()))%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%$$$%%%''')))***&&&&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%''''''&&&%%%%%%%%%%%%%%%%%%%%%+++++++++++++++++++++++++++******)))))))))))))))))))))))))))))))))))))))***************)))((('''+++++++++***************)))))))))))))))))))))))))))******+++,,,,,,------,,,,,,------...//////000000000111222333444444555333444555666777777777777888999;;;===>>>???@@@@@@>>>AAACCCDDDDDDEEEFFFHHHGGGJJJMMMMMMMMMOOOSSSVVVXXXXXXXXXYYYXXXXXXWWWVVVUUUUUUUUUXXX\\\```aaaaaaYYYZZZ[[[\\\\\\[[[ZZZYYYUUUUUUUUUTTTRRROOOMMMKKKMMMLLLKKKJJJIIIHHHHHHHHHBBBCCCDDDEEEFFFFFFFFFFFFEEEDDDDDDCCCCCCBBBAAAAAA>>>=========<<<<<<<<<<<<999999999999999999999999777888999::::::999888777444444444333333333222222333333333222222333444444////////////000000000000///////////////......---------------------------++++++++++++++++++++++++******))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((((((((''''''''''''(((((()))(((((((((''''''''''''%%%'''(((((('''&&&&&&'''%%%%%%&&&&&&'''((())))))''''''''''''''''''''''''%%%%%%%%%%%%&&&&&&'''(((%%%&&&'''(((((('''&&&%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&'''''''''(((&&&'''((((((((('''&&&%%%'''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((((((((()))))))))))))))***+++,,,+++)))'''&&&,,,,,,---------,,,,,,+++.........---,,,---///111---//////...///222444333...666888444888BBBDDD??????DDDJJJPPPVVVaaaooozzzqqqXXXOOOCCC:::777444///---000,,,,,,,,,,,,,,,***(((&&&)))******+++,,,,,,------************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))&&&&&&&&&'''''''''((((((%%%%%%%%%&&&&&&'''''''''&&&'''''''''(((((())))))%%%%%%%%%&&&&&&'''''''''&&&%%%$$$$$$$$$&&&)))***#########$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%''''''&&&%%%&&&&&&&&&&&&&&&&&&++++++++++++++++++++++++************************))))))))))))))))))))))))******))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))******+++++++++,,,,,,,,,---,,,,,,,,,,,,---......000000000111222222333333222333333444555666777777888999;;;<<<======>>>>>>BBBBBBCCCCCCDDDEEEEEEFFFGGGGGGHHHJJJMMMQQQUUUWWWUUUVVVWWWWWWVVVUUUSSSRRRRRRSSSUUUWWWZZZ\\\]]]^^^]]]\\\\\\[[[ZZZ[[[[[[[[[WWWXXXWWWRRRMMMJJJKKKMMMNNNLLLJJJHHHFFFEEEDDDDDDEEEFFFGGGGGGEEEDDDDDDEEEHHHGGGEEECCCAAA@@@???????????????>>>======<<<<<<999999::::::;;;:::::::::999999999888777666555555444444333333333222222222111222222333333222222111//////............//////------------------------,,,,,,,,,+++++++++******+++++++++***)))(((((('''))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))(((((((((((((((((((((((()))(((((('''&&&&&&%%%%%%((((((((((((''''''''''''''''''&&&&&&&&&&&&''''''%%%&&&''''''((((((''''''(((''''''''''''&&&&&&&&&%%%%%%&&&'''((((((((('''(((((((((((('''&&&%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((((('''&&&&&&'''((('''&&&&&&&&&''''''(((((())))))))))))))))))******************+++++++++,,,,,,,,,++++++,,,,,,,,,++++++***,,,,,,------.../////////222000000222777:::999888<<<===>>>???AAAEEEKKKOOOZZZdddtttttthhh\\\OOODDD???666444222111/////////000---,,,***))))))***,,,---++++++++++++++++++++++++++++++***)))(((((())))))))))))(((((((((((())))))((('''&&&'''))))))(((&&&''''''''''''''''''''''''&&&&&&''''''&&&&&&%%%$$$''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''++++++++++++++++++++++++************************))))))))))))))))))))))))******))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))*********+++++++++,,,,,,---,,,,,,,,,,,,---......//////000111111222222333111222333333555555666777888999:::;;;============??????@@@AAABBBCCCDDDDDDHHHHHHHHHIIILLLOOOSSSUUUTTTTTTUUUUUUUUUUUUUUUTTTUUUVVVWWWYYYZZZ\\\]]]]]]\\\\\\[[[ZZZYYYXXXXXXYYYUUUUUUSSSPPPMMMKKKLLLMMMMMMLLLKKKHHHGGGEEEEEEDDDDDDFFFGGGGGGFFFEEEEEEFFFHHHGGGEEEBBB@@@???>>>===???>>>>>>======<<<;;;;;;999::::::;;;;;;;;;::::::999999999888888777666555444333333333333222222222222222333333333333222222/////////....../////////---------------,,,,,,,,,,,,,,,+++++++++*********,,,,,,++++++***))))))((())))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((''''''''''''''''''&&&&&&&&&&&&''''''%%%&&&''''''((((((''''''(((''''''''''''&&&&&&&&&&&&&&&''''''(((''''''''''''((((((((((((''''''&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''((('''&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''''''''(((((('''&&&&&&'''((('''&&&(((((((((((((((((())))))(((((()))))))))******************+++++++++,,,,,,+++++++++,,,,,,++++++***,,,,,,------.../////////111000000333777999888777666777888888888:::>>>AAA:::CCCPPP^^^kkk{{{|||ppp\\\RRRHHHCCC???999444222444333111000///......///,,,,,,************,,,,,,+++++++++++++++++++++++++++******)))(((((())))))))))))(((((((((((()))))))))((('''((()))(((&&&$$$''''''''''''''''''''''''''''''((((((''''''&&&%%%'''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&++++++++++++++++++++++++************************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))*********++++++++++++,,,,,,,,,,,,,,,,,,---......//////000000111111222222000000111222333444555555777888999;;;<<<<<<======;;;;;;===>>>@@@AAABBBCCCIIIHHHHHHHHHJJJLLLOOOQQQQQQQQQRRRSSSTTTVVVWWWXXXZZZZZZZZZ[[[[[[[[[\\\\\\[[[ZZZYYYWWWVVVUUUUUUUUURRRPPPNNNMMMNNNNNNMMMLLLMMMLLLJJJIIIGGGFFFEEEEEEDDDFFFHHHHHHFFFFFFFFFGGGEEEDDDCCCBBBAAA@@@@@@@@@>>>======<<<;;;;;;::::::::::::;;;;;;;;;;;;::::::888999999888888777666555333333333222222222111111222222333333333333222222000//////......//////000......------,,,,,,++++++,,,++++++++++++*********,,,,,,,,,++++++******)))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((%%%%%%&&&&&&'''((())))))((((((((((((''''''''''''''''''&&&&&&&&&&&&''''''%%%&&&''''''((((((''''''(((''''''''''''&&&&&&&&&'''''''''(((''''''&&&&&&&&&''''''(((((((((((('''&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''((('''&&&&&&%%%&&&&&&&&&&&&&&&&&&''''''''''''(((((('''&&&&&&'''((('''&&&))))))))))))))))))(((((((((((())))))))))))******)))*********++++++++++++***++++++,,,,,,+++++++++,,,,,,,,,---......////////////111444777888666555666777888888666666777888222666<<>>@@@BBBBBBIIIHHHGGGGGGGGGIIIKKKMMMOOOOOOOOOPPPSSSVVVXXXZZZ]]]]]]\\\\\\[[[[[[ZZZZZZZZZYYYWWWUUUSSSRRRQQQQQQNNNKKKJJJKKKNNNPPPNNNLLLLLLKKKJJJHHHGGGFFFFFFFFFDDDFFFHHHHHHGGGFFFGGGHHHBBBBBBBBBBBBBBBCCCCCCDDD===<<<<<<;;;;;;:::999999:::;;;;;;;;;;;;::::::999888888888888888777666555222222222222111111111111222222333333333333222222000//////......//////000......---,,,,,,+++++++++++++++++++++************+++++++++*********))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))((((((((((((((((((((((((%%%%%%&&&&&&'''(((((((((((((((((((((''''''''''''''''''&&&&&&&&&&&&''''''%%%&&&''''''((('''''''''(((''''''''''''&&&&&&&&&'''((((((((('''&&&%%%%%%$$$%%%&&&'''''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''((((((&&&&&&&&&'''((('''&&&++++++******))))))(((((((((((((((((()))))))))***)))))))))************+++******+++,,,,,,,,,+++++++++,,,,,,------...//////---///222555666666444333666888999999777555555555888999:::;;;===DDDLLLSSS``````ccchhhpppzzz}}}ttt___XXXMMMDDD>>>888444111777222///222333111111222000///...------,,,,,,,,,******++++++++++++*********************************))))))((((((((())))))(((((((((''''''((((((((()))(((''''''((((((&&&$$$''''''''''''''''''''''''((((((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&++++++++++++++++++++++++************************))))))))))))))))))))))))((()))************)))((())))))))))))))))))))))))))))))))))))))))))))))))))))))*********+++++++++,,,++++++++++++,,,---------......//////000111111...//////000111222333333555666777999::::::;;;;;;888999;;;<<<>>>@@@AAABBBHHHGGGEEEEEEEEEGGGIIIJJJMMMMMMNNNOOORRRUUUXXXZZZ^^^]]]]]]\\\[[[ZZZYYYYYYXXXWWWUUURRRPPPOOONNNNNNKKKIIIHHHJJJNNNPPPNNNLLLKKKJJJIIIHHHGGGFFFFFFFFFDDDFFFHHHGGGFFFEEEFFFGGGEEEEEEDDDCCCBBBBBBBBBBBB<<<<<<<<<;;;::::::999999::::::;;;;;;:::999999888666666777777777666555555222222111111111000000000111222222333333222222111//////............//////------,,,,,,,,,++++++++++++++++++*********))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((''''''''''''''''''&&&&&&&&&&&&''''''%%%&&&''''''((('''''''''(((''''''''''''&&&&&&&&&'''((((((((('''&&&%%%%%%###$$$%%%&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&''''''(((&&&&&&&&&''''''''''''((((((&&&&&&&&&'''((('''&&&++++++******))))))(((((('''(((((((((((()))))))))(((((()))))))))*********)))***+++,,,,,,,,,,,,,,,++++++,,,,,,---.........,,,///222444555444222111000222444555333222111111111222444666999>>>CCCGGGIIIHHHFFFGGGMMMXXXccckkklllqqqxxx~~~ssseeeYYYPPPKKK>>>;;;777444333333333333333///...000000---,,,---------------,,,,,,+++***)))******++++++******)))************************)))((((((((((((((())))))((((((''''''''''''((((((&&&%%%%%%&&&((()))(((&&&''''''''''''''''''''''''&&&''''''''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&++++++++++++++++++++++++************************))))))))))))))))))))))))((()))***++++++***)))((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))************++++++++++++++++++,,,------------......//////000000...//////000111222333333444555666888999999::::::999:::;;;<<<>>>???@@@AAADDDDDDCCCCCCDDDFFFHHHJJJLLLLLLMMMOOORRRTTTVVVXXX[[[[[[[[[ZZZZZZYYYXXXXXXVVVUUUSSSQQQOOOMMMMMMLLLIIIIIIIIIKKKMMMNNNMMMLLLHHHHHHGGGFFFFFFFFFFFFFFFEEEFFFGGGGGGEEEDDDDDDEEEJJJIIIFFFCCCAAA???>>>======<<<<<<;;;::::::999999999:::::::::999888777666444444555555555555444444111111111000000000000///000000111111111111000000...------------------...+++++++++,,,,,,,,,,,,,,,+++************)))))))))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((''''''''''''''''''&&&&&&((((((((((((''''''''''''''''''&&&&&&&&&&&&''''''%%%&&&''''''((((((''''''(((''''''''''''&&&&&&&&&'''''''''(((''''''&&&&&&$$$%%%%%%&&&&&&&&&&&&%%%&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&'''''''''''''''&&&''''''((()))&&&&&&&&&''''''''''''(((((('''&&&&&&'''((('''&&&))))))))))))))))))((((((''''''(((((((((((())))))(((((((((((()))))))))))))))***++++++,,,,,,,,,,,,+++++++++,,,------......,,,///222333222111111111...000333333222222222222//////111333666999;;;<<<=========;;;;;;>>>BBBFFFKKKNNNRRRUUUYYY```jjjqqquuuyyy}}}xxxvvviiiXXXHHH???:::777555333222222111111111111111---+++,,,000000------000,,,,,,------,,,,,,+++***************************************************((((((''''''(((((())))))(((''''''&&&&&&''''''((($$$$$$$$$&&&((()))((('''''''''''''''''''''''''''&&&&&&&&&'''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%++++++++++++++++++++++++************************))))))))))))))))))))))))((()))***++++++***)))((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************+++++++++***++++++,,,---,,,------......///000000...///000111222333333444444444666777888999999999999::::::;;;===>>>??????AAAAAA@@@AAACCCEEEHHHJJJKKKLLLNNNPPPRRRSSSTTTTTTXXXXXXXXXXXXXXXXXXXXXXXXTTTSSSQQQPPPNNNMMMLLLLLLHHHJJJLLLMMMLLLKKKLLLLLLFFFFFFEEEEEEDDDEEEEEEEEEEEEFFFGGGFFFDDDBBBBBBBBBHHHFFFDDDBBB???===<<<;;;======<<<<<<;;;:::::::::888999999888888666555555222333333444444333333333111111000000000///////////////000000000000//////---,,,,,,++++++,,,,,,---*********+++,,,,,,------************))))))))))))((((((((((((((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((%%%%%%&&&&&&'''(((((((((((((((((((((''''''''''''''''''&&&&&&&&&&&&''''''%%%&&&''''''((((((''''''(((''''''''''''&&&&&&&&&&&&&&&''''''((('''''''''''''''((((((''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&'''''''''''''''''''''((())))))&&&&&&&&&''''''''''''(((((('''&&&&&&'''((('''&&&(((((((((((((((((())))))'''''''''((((((((())))))'''''''''((((((((())))))))))))***+++,,,,,,,,,,,,***++++++,,,,,,---......---000222222000///000111111333444555444333444555555444333333444555666666888:::;;;999666555666777<<<===???@@@@@@AAACCCDDDMMMPPPVVV[[[___bbbcccccckkknnnrrruuuwwwyyy}}}{{{qqqhhheeefffbbb^^^WWWPPPOOOQQQNNNIIIOOOGGG===666333333222000111111111111///.........---,,,...222222//////111,,,,,,---------,,,+++***+++***)))(((((()))***+++************************'''''''''''''''((())))))(((''''''&&&&&&''''''(((%%%$$$$$$&&&(((((('''&&&'''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%++++++++++++++++++++++++************************))))))))))))))))))))))))''')))***++++++***)))'''))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************++++++******++++++,,,---,,,,,,------...//////000//////000111222333444444333444555777888888888888999999:::;;;;;;<<<======?????????@@@BBBEEEIIIKKKKKKMMMOOOQQQRRRRRRRRRRRRVVVVVVVVVVVVWWWWWWXXXXXXSSSRRRQQQOOONNNMMMMMMMMMHHHLLLOOONNNLLLJJJKKKLLLEEEEEEDDDDDDDDDDDDEEEEEEEEEFFFGGGFFFCCCAAA@@@@@@AAAAAA@@@???>>>>>>>>>>>>>>>======<<<<<<;;;::::::888888888777777666444444111222222333333333222222000000000000////////////......////////////......,,,++++++******++++++,,,))))))***+++,,,------...************)))))))))))))))))))))))))))*********))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((###$$$%%%&&&((()))******)))((((((((('''''''''''''''''''''&&&&&&'''''''''%%%&&&''''''((((((''''''(((((('''''''''&&&&&&&&&%%%%%%&&&'''(((((((((''')))*********)))(((''''''&&&''''''''''''''''''&&&&&&''''''''''''''''''&&&'''''''''&&&&&&''''''''''''''''''''''''((())))))&&&&&&&&&'''''''''((((((((('''&&&&&&'''((('''&&&&&&&&&''''''(((((())))))''''''''''''((((((((()))''''''''''''((((((((()))((()))***+++,,,---------***++++++,,,,,,---.........000222111...---///222111222333333222111333444222000//////111555777888333444555444222444888;;;222555:::>>>???===999666:::<<<@@@CCCEEEEEEEEEDDDGGGMMMSSSUUURRROOOOOOQQQQQQVVVXXXTTTKKKEEEFFFIIIAAA@@@<<<;;;???EEECCC>>>===999555555666666333111000000111///...---......---,,,...000...)))''')))+++,,,---...---,,,+++***,,,***)))'''''')))***,,,))))))))))))))))))))))))'''''''''''''''((()))***'''''''''&&&&&&''''''''''''&&&%%%&&&''''''&&&$$$''''''''''''''''''''''''(((((((((((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%++++++******++++++,,,---+++++++++*********))))))(((((())))))))))))((((((+++++++++*********))))))+++***)))'''''''''((()))******))))))))))))******+++*********))))))(((((()))************+++++++++---------............///////////////000000000000222333444666777777888888999:::;;;<<<<<<<<<;;;:::<<<===@@@CCCEEEFFFGGGGGGIIILLLPPPRRRSSSSSSSSSTTTVVVTTTSSSSSSTTTTTTSSSRRRSSSSSSSSSRRRPPPNNNLLLJJJLLLMMMNNNOOONNNKKKGGGEEEHHHGGGFFFEEEDDDDDDDDDDDDIIIGGGEEECCCAAAAAAAAAAAAAAA@@@???>>>============;;;;;;;;;;;;:::999888888666666666666555555555555444333333222222333333444222222222111111111000000444222000---,,,,,,------+++++++++,,,,,,---------+++,,,,,,,,,,,,+++******---+++***)))***+++***)))))))))))))))******************))))))((((((''''''((((((((((((((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&'''''''''((((((''''''&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''******)))((('''&&&&&&%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%&&&'''((('''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''&&&%%%((('''&&&%%%%%%%%%%%%%%%((((((((((((((((((((((((''''''''''''(((((((((((()))*********++++++++++++''')))+++++++++***+++,,,...000111000,,,+++---000000111222333444333222111//////000111222222333333222222222333333444444444777777777777777666666666777999:::<<<======<<<<<<===>>>@@@AAAAAAAAA@@@???BBBNNNRRRGGG>>><<<:::333888888777777666666666555333333222222111000//////000000///------,,,,,,,,,------------------------,,,,,,,,,+++++++++******))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''''''''''''''((((((((((((((((((((((((((('''&&&%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''%%%######$$$%%%&&&)))%%%###)))%%%!!!'''###$$$$$$%%%%%%$$$$$$###"""$$$&&&%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###%%%&&&%%%$$$$$$&&&(((''''''&&&%%%$$$$$$$$$$$$'''&&&%%%%%%%%%%%%++++++******++++++,,,---+++++++++*********))))))((())))))******))))))(((*********)))))))))((((((+++***)))(((''''''((()))******))))))))))))************)))))))))((((((((())))))*********+++++++++------------................../////////000000000222333444555666777777777999:::;;;<<<<<<<<<;;;:::<<<===@@@CCCEEEFFFGGGGGGIIILLLPPPQQQRRRQQQRRRSSSSSSSSSSSSRRRQQQPPPPPPPPPNNNOOOOOOPPPOOONNNMMMLLLLLLMMMMMMMMMLLLJJJHHHFFFIIIHHHGGGFFFEEEEEEEEEEEEHHHGGGFFFDDDCCCBBBAAAAAA@@@@@@>>>===============:::;;;;;;::::::999888777666666666666555555555444222222111111111111222222111111000000000/////////333111///---,,,,,,---...++++++,,,,,,,,,,,,,,,,,,++++++,,,,,,++++++***))),,,+++)))))))))***)))((((((((()))))))))*********))))))))))))((((((''''''((((((((((((((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&'''''''''((((((''''''&&&&&&&&&%%%%%%%%%'''''''''''''''''''''''')))((((((''''''&&&&&&%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%&&&'''(((&&&&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''((((((''''''&&&((('''&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''''''''(((((((((((())))))))))))*********+++((()))++++++******+++---000000000...------...000000111111222333222222222000000000111111222222222222222222333333333444444555555555555555444444444666777888999999999999999777888999999::::::999999;;;FFFKKKBBB::::::888333555555555555444444444333333222222111000000//////000///...---,,,,,,,,,,,,........................,,,,,,+++++++++*********))))))))))))))))))))))))((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''((('''&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%$$$&&&&&&'''%%%######$$$&&&&&&***'''%%%***&&&!!!&&&###$$$$$$%%%%%%$$$$$$###"""$$$&&&%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&'''(((&&&&&&%%%$$$$$$$$$%%%%%%$$$###"""###%%%&&&+++************+++,,,,,,+++************))))))))))))******************))))))))))))(((((((((((((((***))))))(((((((((((()))***))))))(((((())))))***))))))(((((((((((((((''')))))))))*********++++++,,,,,,,,,---------...............////////////000111222333555666666666666999:::;;;<<<<<<<<<<<<;;;<<<>>>@@@BBBDDDEEEFFFFFFIIIKKKNNNPPPOOOOOOPPPQQQOOORRRSSSQQQMMMKKKKKKMMMIIIJJJLLLMMMNNNNNNMMMMMMLLLLLLKKKKKKJJJIIIHHHHHHIIIHHHGGGFFFFFFEEEEEEFFFGGGGGGGGGFFFDDDCCCAAAAAA???>>>===<<<<<<;;;<<<<<<999::::::999999888777666666666555555555444444444111111000000000000111111////////////............000///...---,,,---......,,,,,,,,,,,,,,,+++++++++++++++,,,,,,++++++***)))+++)))''''''((())))))((((((((())))))))))))******)))))))))(((((((((((('''((((((((((((((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''((((((''''''''''''&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&''''''''''''((((((((((((((((((((())))))))))))((()))************,,,...333000---,,,---...///000111000000000111111222222000000000000111111111111222222222222222333333333222222222222222222222222555555444444444555555666333333333333333444444555333===BBB;;;555666555222222222222222222111111111222111111000000///////////////...---,,,,,,,,,,,,........................,,,++++++++++++*********))))))))))))))))))))))))((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########%%%&&&&&&%%%$$$###$$$&&&###)))&&&$$$***'''"""&&&###$$$$$$%%%%%%$$$$$$###"""$$$&&&%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%'''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&''''''&&&%%%%%%&&&***************++++++,,,************))))))))))))******++++++++++++******)))))))))))))))))))))))))))))))))(((((((((((()))))))))(((((((((((())))))((((((((((((''''''''''''))))))))))))************+++,,,,,,,,,------------------........./////////000111222444555555555555999999:::;;;;;;<<<<<<<<<<<<===???@@@BBBDDDEEEEEEGGGIIILLLMMMMMMMMMNNNOOOLLLPPPRRROOOIIIFFFFFFIIIGGGHHHJJJLLLMMMMMMLLLLLLKKKJJJIIIHHHGGGGGGHHHIIIGGGGGGFFFEEEEEEEEEEEEEEEFFFGGGGGGGGGFFFDDDBBB@@@>>>>>>===<<<;;;;;;;;;;;;999999999888888777666555555555555444444444333333111000000//////000000111////////////.........---...------,,,,,,---......---,,,,,,,,,++++++******+++++++++++++++***))))))***(((&&&&&&((()))((('''(((((((((((()))))))))***((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''((((((((('''&&&&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&&&&'''''''''(((((('''''''''(((((((((((()))((()))******)))+++...000444///+++***,,,///000///111000///...///000111222000000000000000000//////111111111222222222222222000111111111111111222222555444333111111222333444333333222111111333444555111999<<<777333333333111111111111000000000000000000000000/////////............---,,,++++++,,,,,,++++++++++++++++++++++++++++++++++++************(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%$$$######"""%%%&&&&&&%%%$$$###%%%&&&%%%+++&&&!!!''''''$$$(((###$$$$$$%%%%%%$$$$$$###"""$$$&&&%%%$$$###$$$$$$###$$$$$$$$$$$$$$$%%%%%%&&&%%%$$$%%%''''''&&&$$$$$$$$$$$$$$$%%%&&&'''(((222111...***'''%%%******))))))******+++,,,))))))))))))))))))))))))******++++++++++++******************************((((((((())))))))))))((())))))(((((((((((())))))''''''''''''(((((((((((((((((()))))))))*********++++++++++++,,,,,,,,,---------------............///000111333444444444444888888888999:::;;;;;;<<<<<<<<<===>>>@@@BBBCCCDDDEEEGGGIIIJJJJJJJJJLLLMMMJJJNNNQQQNNNHHHCCCDDDFFFIIIIIIKKKLLLLLLKKKJJJJJJIIIHHHGGGFFFEEEFFFHHHIIIEEEDDDDDDCCCCCCCCCCCCDDDEEEFFFFFFFFFEEEDDDBBBAAA>>>===<<<;;;::::::::::::888888888888777666555555444444444444333333333333111111000000000000111111000000/////////.........,,,,,,,,,,,,,,,------...,,,,,,,,,++++++************++++++++++++***)))))))))'''&&&&&&'''((((((''''''(((((((((((()))))))))'''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&''''''((((((&&&&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&'''''''''(((((((((((()))))))))))))))+++///333333...)))(((+++/////////000///...---...///000111000000//////////////////111111111111111111111111000000111111111222222222555444222111111222333444444333222111222333444555444888999666222222222111000000000000000000000000//////...............------,,,,,,++++++++++++,,,+++++++++++++++++++++++++++++++++*********))))))((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&%%%$$$$$$###$$$%%%&&&%%%$$$$$$%%%'''000555,,,!!!%%%&&&%%%(((###$$$$$$%%%%%%$$$$$$###"""$$$&&&%%%$$$###$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$############$$$%%%&&&'''(((444444111---'''###***))))))))))))***++++++(((((()))))))))))))))***)))******************)))************++++++++++++'''(((((())))))))))))((()))((((((''''''(((((()))'''(((((((((((()))))))))((((((((()))))))))************+++++++++,,,,,,,,,,,,,,,,,,---------.........///000222333333333333666666666777888999:::;;;::::::;;;<<<===???AAABBBBBBDDDFFFGGGGGGHHHKKKMMMIIILLLNNNMMMHHHEEECCCDDDIIIIIIJJJKKKJJJIIIHHHGGGGGGFFFEEEEEEEEEFFFGGGHHHCCCCCCBBBBBBBBBBBBCCCCCCEEEEEEEEEEEEDDDCCCBBBAAA>>>===<<<;;;;;;:::;;;;;;888999999888888777666555444444333333333222222222111111000000000000111111000////////////.........+++,,,,,,,,,,,,,,,,,,,,,+++++++++++++++***************++++++******)))((()))'''&&&&&&((())))))(((''''''(((((((((((())))))&&&''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((%%%&&&&&&''''''&&&&&&%%%'''''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&'''$$$%%%%%%&&&&&&'''''''''(((''''''&&&&&&&&&''''''&&&&&&%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''''''''''''''(((((((((((()))))))))((((((,,,111555///,,,))))))***,,,............------......///000............////////////111111111000000000000000000000000111222222333333333333333222222333444444111111111111111222333333666777777444222000000111//////000000000000111111------------------------,,,++++++******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++************)))))))))))))))))))))))))))))))))''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%$$$%%%&&&%%%$$$$$$&&&'''888===222$$$%%%'''$$$%%%###$$$$$$%%%%%%$$$$$$###"""$$$&&&%%%$$$###$$$%%%#########$$$$$$%%%%%%&&&###%%%''''''%%%$$$###$$$$$$###$$$$$$%%%&&&'''(((,,,......+++&&&###)))))))))))))))***++++++(((((((((((())))))******((())))))******))))))((())))))))))))*********+++&&&'''((()))******)))(((((((((''''''''''''((((((((((((((()))))))))******(((((((((((()))))))))***************+++++++++++++++,,,,,,,,,,,,---------......000111222333333333555555444555666888999:::999999999999;;;===>>>@@@???AAACCCDDDEEEGGGJJJMMMJJJKKKLLLLLLJJJGGGDDDCCCFFFGGGHHHHHHHHHHHHGGGFFFDDDDDDDDDDDDEEEEEEFFFGGGCCCCCCBBBBBBBBBCCCCCCDDDEEEDDDCCCBBBBBBAAAAAABBB???>>>===<<<;;;;;;;;;;;;999999999999888777666666333333333333222222222222000//////......//////000............---------,,,+++,,,,,,,,,,,,+++++++++************++++++++++++***************))))))((()))'''&&&'''(((******)))'''''''''((((((((())))))&&&&&&&&&'''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((%%%%%%&&&''''''&&&%%%%%%(((((('''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&&&&&&&%%%$$$%%%%%%$$$$$$%%%%%%&&&'''$$$$$$%%%%%%&&&''''''((())))))'''&&&%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''((((((((()))))))))***)))((('''(((,,,222777*********)))))))))+++---,,,,,,---...............---------....../////////111111000000000//////////////////000111222222222111111222333444444444444///000111111222222111111444333222111000...///111.........//////000000000,,,,,,,,,,,,,,,---------++++++************++++++,,,,,,,,,,,,,,,,,,,,,,,,************))))))))))))))))))))))))))))))))))))''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$&&&(((///888000###&&&)))%%%$$$###$$$$$$%%%%%%$$$$$$###"""$$$&&&%%%$$$###$$$%%%"""######$$$%%%%%%&&&&&&###(((,,,+++&&&###$$$'''$$$$$$$$$$$$%%%%%%&&&'''&&&***---+++'''###)))))))))))))))******+++'''((((((((())))))******(((((())))))))))))(((((('''((((((((())))))******&&&'''(((*********)))(((((((((''''''''''''(((((((((((())))))******++++++(((((((((((()))))))))))))))************+++++++++++++++,,,,,,,,,------------...///111222222222222444444333444555777999:::888888888888999;;;===>>>===???BBBCCCEEEGGGJJJMMMKKKKKKKKKLLLLLLJJJFFFBBBCCCDDDEEEFFFGGGGGGFFFFFFCCCCCCDDDDDDEEEEEEFFFFFFDDDDDDCCCCCCCCCDDDDDDEEEEEEDDDBBBAAA@@@@@@AAABBB???>>>===<<<<<<;;;<<<<<<999::::::999999888777666333333333222222222111111.........------.........---------,,,,,,,,,+++++++++,,,,,,,,,,,,+++***)))))))))******+++++++++,,,***************)))(((((()))(((&&&''')))******)))''''''''''''((((((((()))&&&&&&&&&'''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((%%%%%%&&&''''''&&&%%%%%%(((((('''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%$$$$$$%%%%%%&&&'''$$$$$$%%%%%%&&&'''((((((+++***(((&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((((((((())))))))))))***)))((('''(((,,,333888&&&)))+++***((('''***---+++,,,---...///...---,,,,,,,,,------...///000000111111000000/////////............///000111111222///000222333444444444333///000222333333333222111111///.........---...111---------....../////////,,,,,,,,,,,,,,,,,,,,,,,,+++***************++++++))))))))))))))))))))))))************))))))))))))))))))))))))))))))))))))''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%###%%%%%%%%%$$$$$$&&&(((,,,((( &&&***&&&$$$$$$$$$$$$%%%%%%$$$$$$$$$"""$$$&&&%%%$$$###$$$%%%""""""###$$$%%%%%%&&&&&&###***000...'''###&&&***%%%%%%$$$$$$%%%%%%&&&&&&&&&+++///...)))$$$+++*********))))))((((((+++*********))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))(((((()))***++++++,,,,,,+++*********))))))((((((*********))))))))))))))))))))))))))))))))))))))),,,,,,,,,,,,,,,+++***)))++++++,,,,,,,,,,,,------.........///////////////333555777888777666777888666666888999999999999999>>>???AAABBBBBBDDDGGGIIIKKKJJJIIIHHHFFFEEEDDDCCCEEEFFFGGGGGGGGGGGGFFFEEEAAABBBDDDEEEEEEEEEDDDCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDBBBAAA???>>>===<<<===============<<<<<<<<<666666777888999:::::::::555555555444444333333333222111111000///......---,,,,,,,,,,,,,,,,,,,,,,,,+++++++++*********))))))************************))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''(((((((((((())))))((('''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%))))))((('''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''$$$###$$$''')))'''%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''((())))))((((((((((((((()))%%%((())))))---444222,,,))))))))))))************+++,,,,,,------,,,,,,+++------,,,+++,,,---...///////////////000000000000,,,---///000000...---+++111/////////111222111000000000000000000000000000000000//////.........---////////////............------,,,,,,,,,,,,++++++*********++++++,,,,,,,,,+++*********))))))(((((((((***+++***)))((()))***&&&&&&&&&'''''''''''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$%%%'''(((%%%%%%$$$$$$$$$$$$$$$$$$'''((()))'''%%%######$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$#########""""""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%444<<<555((($$$&&&'''###$$$$$$###"""&&&---333...---,,,***)))'''************)))))))))(((*********)))))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))(((((()))******+++,,,,,,************)))))))))(((***)))))))))))))))))))))))))))))))))))))))))))))+++,,,,,,,,,++++++***)))+++++++++,,,,,,,,,------------....../////////000333555666666555444555666555666777888999999999999<<<>>>@@@AAAAAACCCFFFHHHIIIIIIIIIHHHGGGFFFEEEDDDEEEFFFGGGGGGGGGGGGFFFEEEBBBCCCDDDEEEEEEEEEDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDCCCBBBAAA???>>>===<<<=========<<<<<<<<<;;;;;;888888888999999888777777333333333444444444444444111111000000///......---,,,,,,,,,,,,,,,,,,,,,,,,+++++++++*********))))))************************))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''(((((((((((())))))((('''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%)))(((((('''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%###%%%'''((('''%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%((('''&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''((())))))((((((((((((((())))))+++++++++111777444---))))))))))))************+++,,,,,,------,,,,,,+++,,,++++++***+++,,,---...------........./////////------...//////...---,,,000///...///111222111000000000000000000000000000000/////////.........---............------------------,,,,,,,,,+++++++++*********+++++++++,,,,,,*********)))))))))(((((('''((())))))''''''((())))))))))))((('''''''''&&&''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&'''((('''%%%###$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$#########""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&!!!)))---(((###"""!!!$$$%%%%%%###"""$$$)))---,,,,,,+++)))((('''************))))))))))))******))))))))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))((())))))******+++++++++************))))))))))))))))))))))))))))))******))))))))))))))))))))))))+++++++++,,,++++++***)))++++++++++++,,,,,,,,,,,,,,,,,,---...///000000111222444555555333222222333555555666777888888888888:::;;;===>>>???AAADDDGGGFFFGGGHHHIIIIIIHHHFFFEEEEEEEEEGGGGGGGGGGGGEEEEEEBBBCCCDDDEEEEEEEEEEEEDDDDDDDDDDDDDDDDDDDDDDDDDDDBBBBBBAAA@@@???>>>===<<<>>>======<<<;;;::::::999999999999999888777555555111222222333333444555555111000000//////.........,,,,,,,,,,,,,,,,,,,,,,,,+++************)))))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''(((((((((((()))((((((''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&((((((((('''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%$$$######"""&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((''''''&&&&&&%%%$$$$$$''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''((()))((((((''''''((()))))))))(((''')))000444000((())))))))))))************++++++,,,,,,,,,,,,++++++***************+++,,,,,,,,,,,,,,,---------..............................000///...///000111111///000000000000000000000000/////////...............------------,,,,,,,,,+++,,,,,,,,,,,,++++++++++++***************+++++++++******))))))))))))((((((&&&'''((((((&&&&&&'''(((+++******)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&#########$$$$$$%%%%%%&&&$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$###############%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$%%%$$$###%%%'''$$$%%%&&&&&&%%%######%%%'''))))))(((((('''&&&*********)))))))))))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))*********+++*********))))))))))))))))))))))))))))))*********((((((((((((((((((((((((******++++++++++++*********++++++++++++,,,,,,,,,++++++,,,---///000111111333444555555333111111222444444555666777777777777777999;;;<<<===???BBBEEECCCEEEHHHIIIJJJIIIFFFEEEDDDEEEFFFGGGGGGFFFEEEDDDCCCCCCDDDDDDEEEEEEEEEEEEDDDDDDDDDCCCCCCCCCCCCCCCAAAAAA@@@???>>>=========>>>===<<<;;;:::999888777888888888888777666555444222222222222333333333333000000/////////.........++++++++++++++++++++++++************))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((()))(((''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''((((((((('''''''''((()))))))))&&&%%%(((///222,,,%%%((()))))))))************++++++,,,,,,,,,,,,++++++************++++++,,,,,,,,,,,,,,,,,,------------......---------.../////////...---...000111000///////////////////////////........................------------,,,,,,,,,,,,,,,,,,,,,++++++++++++***)))*********************))))))))))))))))))((((((&&&'''(((((('''&&&'''((())))))((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&""""""###$$$%%%%%%&&&&&&"""$$$%%%%%%$$$$$$%%%'''%%%%%%$$$$$$$$$$$$%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$'''%%%$$$%%%(((+++)))%%%$$$%%%&&&'''&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&))))))))))))))))))******(((((((((((((((((())))))(((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))*********))))))))))))))))))******(((((())))))************(((((((((((((((((((((((()))******++++++******************+++++++++,,,,,,***+++,,,---...///000111333444555555333111111222333333444555666666666666555777999:::<<<>>>AAADDDAAACCCFFFHHHIIIHHHFFFEEECCCCCCDDDEEEEEEDDDCCCCCCCCCCCCCCCCCCCCCDDDDDDEEECCCCCCCCCCCCBBBBBBAAAAAA?????????>>>>>>============<<<;;;:::999888777666555666666777777666666555444444333222111111000000////////////............++++++++++++++++++++++++))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%&&&'''((((((&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&''''''''''''((('''''''''''''''((())))))---)))(((---222222---'''((()))))))))***************++++++,,,,,,++++++******++++++,,,,,,,,,,,,,,,,,,,,,---------.........---------------...///000...---------///000///...........................---------........................------------,,,,,,,,,+++++++++*********))))))))))))))))))))))))(((((((((((((((((())))))'''((())))))''''''((()))%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$""""""###$$$%%%%%%&&&&&&!!!###$$$$$$######%%%&&&%%%$$$$$$######$$$$$$%%%########################$$$$$$$$$$$$$$$$$$$$$$$$"""""""""#########$$$$$$$$$######%%%%%%&&&'''((($$$$$$&&&((()))((('''%%%$$$%%%%%%%%%&&&&&&))))))))))))************''''''(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************((((((((()))******++++++))))))))))))))))))))))))((()))******+++*********************++++++++++++++++++,,,---...//////000111333444444222111222222222222333444555555555555444555888999;;;===@@@CCC@@@BBBDDDFFFGGGFFFEEEDDDAAABBBCCCCCCCCCCCCBBBAAABBBBBBAAAAAABBBBBBCCCDDDBBBBBBBBBAAAAAA@@@??????>>>>>>>>>===============;;;::::::999888777777666444555666666666666666555555444333222000///..............................++++++++++++++++++++++++(((((()))))))))))))))***))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((((((''''''''''''(((((()))((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&'''((()))***&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''"""###$$$%%%'''((())))))&&&&&&%%%%%%%%%&&&''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&'''((())))))+++((()))...000---(((&&&))))))))))))******************++++++++++++*********++++++,,,---,,,,,,,,,,,,,,,,,,---------......,,,,,,------.../////////...---,,,---/////////---........................---------------.....................------------++++++++++++************))))))))))))((((((((((((''''''(((((((((((())))))'''((())))))''''''((()))######$$$%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$#########$$$$$$%%%%%%&&&!!!"""$$$$$$######$$$%%%$$$$$$############$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$######%%%'''%%%###%%%***###$$$%%%(((******(((&&&$$$$$$%%%%%%&&&&&&((()))))))))************'''''''''((((((((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((()))))))))************'''(((((()))******++++++))))))))))))))))))))))))(((((()))***************************++++++++++++,,,,,,,,,------.........///000222222111000111222111222333444444555555444333555777999:::===@@@CCCAAAAAABBBCCCDDDDDDDDDDDD???@@@AAABBBBBBAAA@@@???AAAAAA@@@@@@@@@AAABBBCCCAAAAAA@@@@@@???>>>>>>===========================999999888888888777777777666666666666555444333333333333222111000//////...........................************************(((((((((((())))))******************************))))))))))))))))))))))))((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((('''''''''''''''((())))))((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%'''((('''%%%###%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&'''((())))))'''&&&)))...---&&&###%%%))))))))))))******************++++++++++++******))))))+++,,,,,,,,,+++***++++++++++++,,,,,,,,,,,,+++,,,---////////////...---,,,+++,,,...///...---------------------------,,,,,,,,,------.........------------,,,,,,,,,+++++++++++++++************))))))(((((((((''''''''''''''''''((((((((())))))&&&'''((((((&&&&&&'''((($$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%&&&&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$###""""""###$$$$$$$$$############$$$$$$""""""#########$$$$$$$$$#################################$$$$$$$$$%%%%%%&&&$$$&&&)))((($$$$$$((($$$$$$$$$&&&)))***'''$$$%%%%%%%%%&&&&&&&&&(((((())))))*********+++&&&'''''''''(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((())))))*********+++'''(((((()))***+++++++++))))))))))))))))))))))))(((((()))***************)))************+++++++++---------------------------...000111000///000111111111222333444444444444333555777999:::===@@@CCCAAAAAAAAAAAABBBBBBCCCCCC>>>???@@@AAAAAA@@@???>>>AAA@@@?????????@@@AAABBB@@@@@@??????>>>======<<<<<<<<<<<<===============888888888777777777777777888888777666555333111000111111111111000000000000---.....................************************'''((((((((())))))******************************))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''((((((((()))'''''''''''''''((()))***(((((((((((((((((((((((((((((((((((((((((((((((('''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((())))))&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%''')))'''$$$###$$$'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&'''''''''((((((%%%%%%%%%&&&'''((()))***))))))---222///'''%%%)))))))))))))))******************++++++++++++******'''((()))++++++******))))))************+++++++++***+++---000000000///...---,,,+++,,,...///...---------------------------,,,,,,,,,------.........,,,,,,,,,+++++++++******+++++++++************)))))))))(((((('''''''''&&&&&&'''''''''(((((())))))%%%&&&''''''%%%%%%&&&'''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%&&&'''&&&%%%###"""%%%%%%$$$$$$$$$$$$$$$$$$"""###$$$###"""!!!"""###$$$$$$############$$$$$$""""""######$$$$$$$$$$$$###########################$$$$$$$$$$$$%%%%%%%%%&&&!!!!!!&&&'''""" """%%%$$$###%%%((((((%%%"""&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))))))))))))))))))))))))))(((((('''''''''&&&&&&&&&(((((((((((((((((((((((((((((((((((())))))))))))+++*********))))))((((((******))))))((((((''''''))))))))))))))))))))))))(((((())))))))))))((((((*********)))))))))))))))***++++++,,,,,,------......//////000000000000///...//////111222333444444555666777888:::;;;<<<===AAA@@@??????>>>?????????========================BBBAAA@@@>>>>>>>>>??????===============>>>??????=========<<<;;;;;;::::::888888999888888777666555666555555444222111000000111111111111111000/////////...---,,,+++,,,------+++++++++*********))))))******))))))))))))******+++*********))))))(((((((((((((((((((((((((((((()))((('''&&&&&&'''((()))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))'''''')))+++***&&&###))))))((('''&&&&&&%%%%%%&&&&&&&&&''''''''''''((())))))(((''''''''''''''''''&&&%%%%%%%%%%%%&&&'''&&&%%%%%%%%%%%%&&&''''''******)))((('''&&&&&&%%%(((((('''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%(((((('''''''''&&&&&&&&&'''&&&%%%&&&((((((((('''###'''+++,,,***(((((()))(((((((((((())))))))))))***************)))(((((())))))))))))******************+++++++++,,,,,,,,,***+++,,,...///......---........................------------------------+++++++++,,,,,,---------,,,++++++***++++++,,,,,,******))))))))))))******,,,+++***(((''''''''''''((('''&&&%%%%%%&&&'''(((&&&&&&''''''&&&&&&%%%$$$'''''''''&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&### ###'''%%%%%%%%%$$$$$$$$$######"""###$$$%%%%%%$$$###"""######$$$$$$$$$%%%%%%%%%###$$$%%%%%%######$$$%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%&&&))))))))))))))))))))))))(((((((((((((((((((((((())))))((((((((('''''''''(((((((((((((((((((((((((((((((((((())))))))))))************)))))))))((((((((((((((())))))))))))))))))))))))))))))))))))(((((())))))))))))(((((())))))))))))))))))))))))******++++++,,,---------......///000000000000/////////000111222222333333555666777888999;;;<<<<<>>>>>=========>>>>>>AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA???>>>>>>>>>??????>>>>>>>>>>>>>>>???@@@@@@======<<<;;;:::999999888999999999999888777666555666555444333222111111000///000000000000///......///...---,,,,,,,,,------+++++++++*********))))))******))))))))))))***************)))))))))(((((((((((((((((((((((((((((()))((('''&&&&&&'''((()))(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''''''''''''''&&&&&&((())))))%%%""")))(((((('''&&&&&&%%%%%%&&&&&&&&&''''''''''''((((((((('''&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''&&&%%%%%%%%%%%%&&&''''''))))))((((((''''''&&&&&&(((''''''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%(((((('''''''''&&&&&&&&&%%%%%%$$$%%%%%%&&&%%%%%%'''))),,,,,,***((()))***(((((((((((())))))))))))***************)))(((((((((((()))))))))******************+++++++++,,,,,,***+++,,,---.........---.................................---------------***+++++++++,,,,,,,,,,,,,,,,,,++++++***+++++++++******))))))))))))******+++***)))(((''''''''''''((('''&&&&&&&&&&&&'''(((&&&&&&''''''&&&&&&%%%$$$''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&$$$"""!!!$$$&&&%%%%%%$$$$$$##################$$$$$$$$$$$$############$$$$$$$$$%%%%%%%%%&&&'''((('''&&&&&&'''(((######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%&&&))))))))))))))))))))))))(((((((((((((((((((((((()))))))))))))))((((((((((((((((((((((((((((((((((((((((((((())))))))))))************))))))))))))'''''''''((()))*********))))))))))))))))))))))))(((((())))))))))))(((((())))))))))))))))))))))))*********+++,,,,,,---------......///000000//////000000000111111222222222555555666777999:::;;;;;;<<<<<<<<<;;;<<<<<<======BBBBBBBBBBBBBBBBBBBBBBBB@@@@@@???>>>>>>>>>????????????>>>>>>??????@@@@@@===<<<<<<:::999888777777999999:::999999888777666555555444333222111111000...////////////...------//////...------------...+++++++++*********************))))))))))))************))))))))))))((((((((((((((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&%%%%%%'''((('''%%%###((((((((('''&&&&&&%%%%%%&&&&&&&&&''''''''''''(((''''''&&&%%%%%%%%%%%%&&&'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%%%%%%%&&&''''''(((((('''''''''''''''''''''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%'''''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%+++,,,,,,+++(((((((((***''''''((((((((()))))))))))))))******))))))(((((((((((())))))))))))***************++++++++++++,,,******+++---------------------------------------/////////......---------++++++++++++,,,,,,,,,,,,---,,,,,,+++*********+++******))))))))))))******)))((((((''''''(((((()))((('''&&&&&&&&&&&&'''(((&&&&&&''''''&&&&&&%%%$$$&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''&&&$$$###$$$%%%$$$############"""""""""$$$$$$############$$$$$$######$$$$$$$$$%%%%%%%%%###$$$%%%%%%$$$###$$$%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%))))))))))))))))))))))))''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))*********)))))))))))))))'''((((((((()))))))))***))))))))))))))))))))))))(((((())))))))))))((((((((((((((()))))))))))))))))))))******+++,,,,,,,,,,,,---......////////////000000000000111111111111444555555666888999999:::;;;;;;;;;;;;;;;<<<===>>>????????????????????????>>>>>>>>>>>>>>>????????????>>>>>>>>>>>>>>>??????>>>===<<<;;;:::888777777::::::::::::999888777666444444333333222111111000...////////////...------//////.........---------******************************))))))))))))******))))))))))))))))))(((((((((((((((((((((((((((((((((((((((''''''(((((((((((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&'''''''''&&&%%%(((((('''''''''&&&&&&&&&&&&&&&&&&''''''''''''(((''''''&&&&&&%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&'''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%''''''''''''''''''''''''(((((()))((('''&&&'''(((...---+++(((&&&&&&'''(((&&&'''''''''((()))))))))((()))))))))))))))(((((((((((((((((()))))))))***************++++++++++++)))***++++++,,,---------------------------------000000000///......------,,,,,,,,,,,,,,,---------------,,,+++******************))))))))))))******'''''''''''''''((()))***'''''''''&&&&&&'''''''''&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%###"""""""""""""""""""""%%%%%%###""""""###%%%%%%######$$$$$$$$$%%%%%%%%%"""###$$$###"""!!!"""$$$######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%$$$%%%((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))*********)))))))))((((((((('''(((((((((((((((((((((((((((((())))))))))))((((((''''''(((((())))))))))))(((((()))******++++++,,,++++++---....../////////000000000000000000111111444444555555666777888888:::::::::;;;<<<===>>>???==============================>>>>>>????????????>>>======<<<<<<<<<======>>>>>>===<<<;;;:::999999999999999999888777666666333333333222222111111000//////000000000///.....................---------******************************))))))))))))******(((((((((((((((((())))))(((((((((((((((((((((((('''(((((((((((((((((('''((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&'''(((((((((''''''((('''''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''(((((('''''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&''''''''''''''''''''''''(((***)))'''&&&''')))///,,,)))&&&%%%%%%%%%%%%%%%&&&&&&'''((()))))))))'''(((((()))))))))(((((('''(((((((((((()))))))))))))))*********+++++++++))))))******+++,,,,,,---------------------------000000/////////........................------------,,,++++++*********+++******))))))))))))******&&&&&&&&&&&&'''((()))***&&&''''''''''''''''''&&&&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%$$$"""""""""""""""""""""###&&&%%%$$$######$$$%%%&&&######$$$$$$$$$%%%%%%%%%%%%&&&'''&&&%%%$$$%%%'''######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%$$$$$$$$$(((((((((((((((((((((((())))))))))))))))))))))))&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))*********************)))((('''''''''(((((((((((((((((((((((((((((())))))))))))((((((&&&''''''(((((())))))***((((((((()))******++++++******,,,---......///////////////000000111111111333333444555555666777777999999999:::;;;===>>>???>>>>>>>>>>>>>>>>>>>>>>>>;;;<<<===>>>????????????======<<<;;;;;;;;;<<<<<<>>>======<<<<<<;;;;;;:::888888999888888777666555333333222222111111111111///000000000000///......------......------,,,+++***************+++++++++******))))))))))))******''''''(((((((((((())))))((((((((((((((((((((((((''''''((((((((((((''''''((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&((()))(((''''''(((***''''''''''''''''''''''''&&&&&&&&&''''''''''''((((((''''''''''''((())))))%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&'''''''''''''''###&&&((('''%%%$$$''')))///+++'''%%%%%%%%%$$$###%%%%%%&&&'''((())))))***''''''((()))))))))((((((''''''(((((((((((()))))))))))))))************+++))))))))))))***+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,....................................------------,,,++++++***++++++,,,,,,******))))))))))))******'''&&&&&&&&&'''(((((()))&&&&&&'''(((((('''&&&&&&&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###%%%&&&%%%$$$"""""""""############$$$%%%%%%$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%###$$$%%%%%%######$$$%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%$$$$$$###((((((((((((((((((((((((************************&&&'''''''''(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))((()))))))))************))))))))))))(((((((((((((((((((((((((((((((((((((((((())))))))))))((((((&&&&&&''''''((())))))***''''''(((((()))******+++)))***+++,,,---.........---......///000111222222333333333444555555666666777777777888:::<<<===>>>========================:::;;;<<<>>>???@@@@@@???>>>>>>===<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;777777777777777666444444222222222222111111111111...////////////...------+++,,,---------,,,+++***))))))*********+++++++++******))))))))))))******'''''''''((((((((())))))((((((((((((((((((((((((&&&'''((())))))((('''&&&((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''%%%'''((('''&&&%%%(((***''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''&&&&&&&&&''''''((()))%%%%%%&&&''''''&&&%%%%%%&&&%%%%%%%%%%%%&&&'''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&'''''''''((((((!!!%%%((((((%%%%%%(((,,,...+++(((&&&''''''%%%###$$$%%%%%%&&&'''((()))***&&&''''''((())))))(((((('''''''''((((((((())))))))))))))))))************))))))(((((()))***,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---......//////------,,,,,,,,,+++++++++************+++,,,------******))))))))))))******''''''&&&&&&&&&'''((((((&&&&&&'''(((((('''&&&&&&&&&&&&''''''&&&&&&%%%$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%""" ###%%%%%%$$$############$$$$$$%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%% """###"""!!! !!!#########$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%$$$######((((((((((((((((((((((((************************'''((((((((())))))******(((((((((((((((((((((((((((((((((((())))))))))))(((((())))))*********+++''''''(((((())))))******(((((((((((((((((((((((((((((())))))))))))((((((&&&&&&&&&'''((())))))***''''''(((((()))*********((()))+++,,,---.........,,,---...///000111222333333333333444444555555555555555666777888:::<<<===<<<<<<<<<<<<<<<<<<<<<<<<999:::<<<>>>@@@@@@@@@?????????>>>===============999999:::::::::;;;;;;;;;777777777777666555444333222222222111111111111111------......------,,,+++++++++,,,---,,,+++***)))))))))******++++++++++++******))))))))))))******&&&'''''''''(((((())))))((((((((((((((((((((((((&&&'''((())))))((('''&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$&&&'''&&&$$$$$$'''***&&&'''''''''''''''''''''&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%&&&'''(((%%%%%%&&&''''''&&&%%%%%%&&&%%%%%%%%%%%%&&&''''''(((((('''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&'''''''''(((((("""&&&******''''''+++//////+++(((((()))(((&&&$$$$$$$$$%%%&&&'''((()))***&&&&&&'''((())))))((((((''''''''''''((((((((()))))))))))))))************))))))(((((((((***+++---,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,---...//////+++++++++******))))))))))))))))))***+++,,,......******))))))))))))******(((''''''&&&&&&&&&''''''%%%&&&'''(((((('''&&&%%%&&&&&&''''''&&&&&&%%%$$$#########$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%""""""$$$%%%$$$######$$$$$$$$$%%%%%%%%%$$$$$$&&&''''''&&&$$$$$$######$$$$$$$$$%%%%%%%%%###%%%&&&%%%$$$###$$$%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%$$$######(((((((((((((((((((((((())))))))))))((((((((((((((((((((((((((((((((((((&&&&&&&&&'''''''''((((((&&&'''''''''(((((())))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))(((((('''''''''&&&''''''''''''(((((((((((()))))))))))))))))))))))))))******++++++,,,------......//////000000111111111111222222222333333333333333555666888:::;;;<<<;;;;;;<<<<<<===>>>>>>>>>;;;;;;;;;;;;;;;<<<======<<<<<<<<<<<<=====================<<<;;;;;;::::::444444555666555555444444222222111111000/////////......---------,,,,,,,,,,,,,,,,,,++++++*********))))))))))))))))))))))))(((((()))***************))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&)))(((&&&&&&%%%&&&'''(((''''''''''''''''''''''''&&&'''''''''''''''&&&&&&''''''''''''''''''''''''&&&%%%$$$######$$$&&&'''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%'''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%(((((($$$$$$))),,,,,,(((((('''''''''&&&&&&&&&&&&&&&&&&''''''''''''(((''''''((((((((((((''''''&&&&&&&&&''''''''''''(((''''''''''''((((((((((((+++++++++*********))))))++++++++++++++++++++++++)))************++++++++++++***)))***++++++***)))++++++++++++++++++++++++))))))))))))))))))))))))&&&&&&&&&''''''''''''''''''''''''&&&&&&%%%%%%$$$+++(((%%%%%%&&&'''$$$!!!$$$$$$%%%%%%%%%%%%&&&&&&$$$&&&%%%"""$$$(((''' &&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&###"""###%%%&&&%%%###"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&***%%%$$$)))$$$ &&&&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$###"""!!!!!!%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%######$$$%%%&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%&&&&&&'''((())))))))))))))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((&&&&&&&&&'''''''''(((((('''''''''((((((((())))))))))))))))))))))))))))))))))))))))))(((((((((((()))))))))))))))))))))))))))(((((((((''''''''''''''''''''''''(((((((((((()))))))))))))))))))))))))))******++++++,,,,,,------......///000000111111111111111222222222333333222333444666888999;;;;;;:::;;;;;;<<<======>>>>>><<<;;;;;;;;;;;;<<<======>>>>>>==================>>>======<<<;;;:::999999777666666555444333333222222222111111000/////////......---------,,,,,,,,,,,,,,,,,,++++++*********))))))))))))))))))))))))(((((()))************)))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&((('''&&&%%%%%%&&&''''''''''''''''''''''''''''''''''''(((((((((''''''&&&''''''''''''''''''''''''000///,,,)))'''&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$''''''$$$%%%***,,,,,,((('''''''''&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''((((((((((((''''''&&&&&&&&&''''''''''''(((''''''''''''((((((((((((+++++++++*********))))))++++++++++++++++++++++++)))************++++++++++++***)))***++++++***)))++++++++++++++++++++++++))))))))))))))))))))))))'''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&)))'''$$$$$$$$$&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&"""))),,,'''###%%%''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$"""###%%%&&&%%%###"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""'''"""!!!'''%%%"""(((&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$###"""""""""###########################%%%%%%%%%$$$###$$$%%%''''''&&&%%%%%%&&&''''''%%%%%%%%%&&&''''''************************))))))))))))((((((((((((((((((((((((((((((((((((&&&&&&'''''''''(((((((((''''''(((((((((((())))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))((((((((((((''''''''''''''''''''''''(((((((((((())))))))))))))))))))))))))))))******+++,,,,,,,,,------......///000000000000111111111222222222222222333444555777999:::::::::::::::;;;<<<<<<======<<<;;;;;;;;;;;;<<<======??????>>>>>>======<<<<<<>>>===<<<;;;:::999888888999888666444333222222111222222111111000/////////......---------,,,,,,,,,+++++++++++++++*********))))))))))))))))))))))))'''((())))))******))))))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''(((((())))))(((((((((''''''''''''''''''''''''444222///,,,)))'''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((())))))&&&&&&&&&&&&&&&&&&&&&&&&$$$''''''%%%'''+++---+++''''''''''''&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''((((((((((((''''''&&&&&&&&&''''''''''''(((''''''''''''((((((((((((+++************)))))))))******************++++++)))************++++++++++++***)))***++++++***)))++++++++++++++++++++++++))))))))))))))))))))))))))))))((((((''''''&&&&&&''''''''''''''''''((((((&&&&&&%%%$$$###$$$'''***$$$$$$%%%%%%%%%%%%&&&&&&(((###$$$111:::444)))&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$######%%%%%%$$$###"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!'''### &&&&&&###(((%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################%%%&&&%%%$$$###$$$&&&(((''''''&&&&&&''''''(((%%%%%%%%%%%%&&&&&&))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((((((((())))))(((((((((((((((((((((((((((((((((((())))))))))))((((((((((((((((((((((((((((((((((((((('''''''''''''''''''''(((((((((((((((((((((((((((((((((((()))))))))***++++++,,,,,,,,,------......///000000000000000111111111111222222222333555666777888999999999::::::;;;;;;<<<<<<;;;;;;;;;;;;;;;<<<======>>>>>>===<<<<<<;;;::::::===<<<<<<:::999888777666888777555333222222222222222222111111000/////////......---------,,,,,,,,,+++++++++***************(((((((((((((((((((((((('''(((((()))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''((())))))))))))))))))''''''''''''''''''''''''---,,,***)))''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''((($$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&###&&&'''&&&(((------***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''((((((((((((''''''&&&&&&&&&''''''''''''(((''''''''''''((((((((((((************)))))))))))))))))))))***************))))))*********++++++++++++***)))***++++++***)))++++++++++++++++++++++++((((((((((((((((((((((((******)))(((''''''&&&&&&&&&'''''''''(((((())))))###%%%'''&&&######&&&)))$$$$$$$$$%%%%%%%%%&&&&&&'''+++777IIIVVVQQQ;;;%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$###""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%!!!)))%%%"""'''&&&"""$$$%%%$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%$$$$$$%%%&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%(((((((((((((((((((((((())))))))))))(((((((((((((((((((((((((((((((((((('''''''''((((((((())))))))))))))))))))))))(((((((((((((((((((((((((((((('''((((((((()))))))))***(((((((((((((((((((((((('''''''''(((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((((())))))******+++,,,,,,,,,,,,,,,---......////////////000000000111111111111111222444555666777777888888888999::::::;;;;;;:::::::::::::::;;;;;;<<<<<<<<<;;;:::999888888888;;;;;;:::999888777666666555444444333333333333444222222111111000/////////......---------,,,,,,,,,************************((((((((((((((((((((((((''''''((()))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''''''''((()))))))))))))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''(((((((((&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&''''''***...---(((%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''((((((((((((''''''&&&&&&&&&''''''''''''(((''''''''''''(((((((((((())))))))))))))))))))))))((((((((())))))*********))))))*********++++++++++++***)))***++++++***)))++++++++++++++++++++++++((((((((((((((((((((((((***))))))((('''&&&&&&%%%&&&'''''''''(((((())))))!!!%%%))))))%%%######$$$$$$$$$$$$%%%%%%%%%&&&&&&???gggwwwgggHHH...###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$#########""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%'''%%%!!!''''''!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''))))))))))))((((((((((((((((((((((((((((((((((((''''''((((((((()))))))))******))))))))))))(((((())))))))))))))))))))))))''''''(((((())))))******))))))))))))))))))))))))'''''''''(((((((((((((((''''''''''''(((((((((((())))))))))))))))))))))))(((((())))))***+++++++++++++++,,,,,,---.........////////////000000000000000111222333444555666666777777888888999:::::::::999888888888888999::::::::::::999999888888777777999999999888777777666666222333444444444444333333222222111111000/////////......---------,,,,,,,,,)))))))))***************))))))))))))))))))))))))&&&'''(((((())))))(((((())))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&%%%%%%&&&'''((((((((((((''''''''''''''''''''''''&&&&&&'''((())))))))))))''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''((((((''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%''''''(((,,,///,,,&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''((((((((((((''''''&&&&&&&&&''''''''''''(((''''''''''''(((((((((((((((((()))))))))))))))***''''''(((((())))))******)))************++++++++++++***)))***++++++***)))++++++++++++++++++++++++))))))))))))))))))))))))((((((''''''&&&&&&%%%%%%''''''''''''''''''((((((###%%%'''(((&&&$$$""""""$$$$$$%%%%%%%%%%%%&&&&&&###777OOOUUUEEE///%%%'''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%###"""###$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&)))%%%$$$'''""""""#########$$$$$$$$$$$$$$$###$$$$$$$$$%%%%%%&&&&&&########################$$$&&&'''&&&%%%$$$%%%'''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&&&&(((((((((((((((((((((((())))))))))))(((((((((((((((((((((((((((((((((((('''((((((((())))))))))))*********)))))))))(((((())))))))))))))))))))))))'''''''''((()))*********))))))))))))))))))))))))''''''''''''((((((((()))''''''''''''(((((((((((())))))))))))))))))))))))(((((())))))******+++++++++++++++,,,------.............../////////000000000000111222333444555555666666777777888999999:::777777777777777888888999999999999999888888888888777777777777777777777777222333555666555333111///222222111111000/////////......---------,,,,,,,,,((()))))))))*********+++))))))))))))))))))))))))&&&'''(((((())))))(((((())))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&%%%&&&''')))))))))))))))''''''''''''''''''''''''%%%%%%&&&'''((())))))(((''''''''''''''''''''''''''''''((((((''''''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''(((&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((()))---///+++###$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''(((''''''((((((((((((''''''&&&&&&&&&''''''''''''(((''''''''''''(((((((((((((((((((((((())))))******&&&&&&'''(((((()))******)))************++++++++++++***)))***++++++***)))++++++++++++++++++++++++))))))))))))))))))))))))&&&&&&&&&&&&&&&%%%%%%%%%'''''''''&&&&&&&&&&&&&&&%%%$$$######$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&+++$$$ """######&&&+++$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&'''&&&###!!!"""$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&...555,,,"""&&&$$$%%%"""#########$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%########################%%%&&&'''&&&%%%%%%%%%'''%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&''''''))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))+++*********))))))(((((())))))))))))))))))))))))&&&''''''((()))******+++))))))))))))))))))))))))&&&'''''''''(((((())))))''''''''''''((((((((()))))))))))))))))))))))))))((((((((()))******++++++***++++++,,,,,,---................../////////000000000111222333333444444666666666777888888999999666666666666666777777888999999999999999999::::::666666666666777777777777333444666777666333///,,,222222111111000/////////......---------,,,,,,,,,(((((())))))*********+++))))))))))))))))))))))))&&&''''''((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&%%%&&&(((************)))''''''''''''''''''''''''$$$%%%&&&'''((((((((((((''''''''''''''''''''''''$$$$$$&&&'''(((((((((((('''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((''''''''''''((((((((()))&&&&&&&&&&&&&&&&&&&&&&&&''')))))))))---000***"""$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&'''''''''((((((''''''((((((((((((''''''&&&&&&&&&'''''''''((((((''''''''''''((((((((()))'''((((((((())))))******&&&&&&&&&'''((())))))***)))************++++++++++++***)))***+++++++++)))++++++++++++++++++++++++))))))))))))))))))))))))$$$%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%$$$'''###"""'''))))))$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%))),,,'''!!!$$$,,,$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&'''&&&###!!!"""$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&AAAEEE666""""""&&&%%%'''""""""######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%&&&'''%%%&&&'''(((((('''&&&%%%%%%%%%&&&&&&'''((((((((((((((())))))))))))(((((((((((((((((((((((()))))))))))))))))))))))))))))))))))))))(((((('''&&&((()))(((&&&%%%%%%&&&&&&''''''((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))(((((((((((())))))))))))***)))((((((+++,,,---,,,))))))))))))))))))))))))******))))))))))))******,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------////////////000111222333666666666666777888999:::666666666777888888999999;;;;;;<<<===<<<:::777555777777666555444444333333444444333333333333222222111111000000//////......------,,,,,,,,,,,,++++++)))))))))))))))(((''''''&&&'''((())))))((('''&&&(((((('''&&&%%%%%%''')))''''''''''''((((((((((((''''''''''''(((((((((((())))))))))))))))))))))))(((((())))))))))))(((((()))((('''&&&&&&'''((()))%%%&&&''''''((((((''''''''''''''''''((((((((((((((((((''''''&&&&&&%%%%%%(((((('''''''''&&&&&&&&&((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&'''(((((((((''''''&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%""""""###$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((()))%%%&&&---000+++''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((((((((((('''''''''(((((((((((())))))))))))((())))))))))))*********+++++++++++++++++++++++++++++++++******)))))))))''''''(((((())))))******'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%???===444'''"""%%%'''%%%!!!"""###%%%%%%$$$######$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%&&&&&&&&&%%%$$$###+++***(((%%%$$$######$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))(((''''''&&&((()))((('''%%%%%%&&&&&&''''''((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))(((((((((((())))))))))))***)))((((((+++,,,,,,,,,))))))))))))))))))))))))******))))))))))))******++++++++++++++++++++++++,,,,,,,,,---------------////////////000111222333555555444555555666777888555555666777777888888999888999::::::999888666555777666666555444444333333333333222222222111111111111111000000///.........------,,,,,,,,,+++++++++))))))******))))))((('''''''''((((((((((((''''''(((((('''&&&%%%&&&'''(((''''''''''''((((((((((((''''''''''''((((((((((((''''''''''''''''''''''''''''''(((((((((((('''''')))((('''&&&&&&'''((()))%%%&&&''''''((((((''''''''''''''''''((((((((((((((((((((('''''''''''''''(((((('''''''''&&&&&&&&&((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%######$$$$$$%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%&&&''''''(((&&&(((---...)))&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((('''''''''((((((((()))))))))***++++++++++++,,,,,,,,,++++++++++++++++++++++++,,,+++++++++************(((((((((((())))))))))))'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%......+++###"""%%%&&&$$$""""""###$$$$$$$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%&&&&&&&&&%%%$$$$$$((('''&&&%%%$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((())))))))))))))))))))))))))))))))))))(((((((((((((((((((((((('''(((((((((((('''&&&&&&&&&''')))((('''%%%&&&&&&&&&''''''((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))(((((((((((())))))))))))***)))'''(((***,,,,,,+++))))))))))))))))))))))))******))))))))))))******************************+++,,,,,,,,,---------...//////...//////000111222333333333333444555666666444555555666777777888888666666666666666666666666666666555555444333333333222222222111111111000000111111000//////......---,,,,,,,,,,,,++++++++++++******++++++******)))(((((((((''''''''''''(((((((((''''''&&&&&&'''((((((''''''''''''((((((((((((''''''''''''((((((((((((''''''''''''''''''''''''&&&&&&&&&''''''&&&&&&&&&(((((('''&&&&&&'''((((((%%%&&&''''''((((((''''''''''''''''''(((((((((((('''((((((((((((((())))))'''''''''''''''&&&&&&&&&((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&'''''''''''''''&&&&&&''''''(((''''''&&&%%%%%%%%%&&&&&&'''(((+++...+++%%%$$$'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''((((((((((((((((((''''''''''''((((((((((((***++++++++++++,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,++++++++++++***))))))))))))(((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%!!!$$$$$$######%%%$$$"""#########"""######$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$$$$$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((())))))))))))))))))))))))))))))))))))(((((((((((((((((((((((('''''''''''''''&&&&&&%%%%%%'''(((((('''&&&&&&'''&&&''''''((((((((((((((((((((((((((())))))))))))(((((((((((((((((((((((((((((((((((())))))))))))***)))'''(((***++++++***((((((((((((((((((((((((******))))))))))))******))))))))))))))))))))))))+++++++++,,,,,,------...///.........//////000111222222222222333444555555444444444555666666777777555555444444555666777777555555555444444333333333222222222222111111111111111000000///......------,,,,,,,,,++++++++++++***+++++++++++++++***)))))))))((('''&&&&&&'''((()))((('''&&&'''((((((((((((''''''''''''((((((((((((''''''''''''((((((((((((''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''%%%&&&''''''((('''''''''''''''''''''((((((((((((''''''(((((())))))******''''''''''''''''''''''''(((''''''&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&''''''(((((('''&&&%%%%%%%%%%%%%%%&&&+++000///)))###$$$((($$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''((((((((((((&&&'''''''''(((((((((((((((((()))))))))*********************************,,,,,,,,,+++++++++++++++******))))))(((((('''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%"""$$$%%%%%%%%%$$$###!!!$$$###"""""""""###%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((())))))))))))))))))))))))))))))))))))'''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%'''(((((('''&&&&&&'''&&&''''''((((((((((((((((((((((((((())))))))))))(((((((((((((((((((((((((((((((((((())))))))))))***)))'''((()))******)))((((((((((((((((((((((((******))))))))))))******))))))))))))))))))))))))******++++++,,,------............---......///000222222222222333444555555222333333444555555666666555555555555555666777888444444444444444333333333444333333333333222222222000000//////...---------,,,,,,+++++++++*********+++++++++++++++***)))))))))((('''&&&&&&'''((()))(((&&&&&&''')))***)))'''''''''''''''((((((((((((''''''''''''(((((((((((((((((((((((((((((((((((('''''''''(((((('''''''''&&&&&&''''''''''''&&&&&&%%%&&&''''''((('''''''''''''''''''''((((((((((((''''''(((((())))))******&&&'''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''%%%%%%$$$$$$%%%&&&&&&'''((('''&&&%%%%%%%%%%%%%%%'''...222///'''$$$&&&)))$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&'''''''''(((((())))))'''''''''(((((((((((()))(((((()))))))))*********************************++++++++++++++++++++++++******))))))((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%$$$###$$$$$$###"""""""""###%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$###""""""$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((())))))))))))))))))))))))))))))))))))'''''''''''''''''''''''''''(((((((((((('''&&&&&&$$$&&&(((((('''&&&'''(((&&&''''''((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))(((((((((((())))))))))))***)))'''((()))******)))))))))))))))))))))))))))******))))))))))))******))))))))))))))))))))))))))))))***+++,,,---............------------......111111111111222333444444222222222333444444555555555555555666666777777777444444333333333333333333444444444333333333222222000000///......------,,,++++++++++++******************++++++******)))(((((((((''''''''''''(((((((((&&&%%%'''+++,,,***'''''''''''''''((((((((((((''''''''''''(((((((((((())))))))))))))))))))))))''''''((((((((((((''''''&&&&&&''''''''''''&&&&&&%%%&&&''''''((((((''''''''''''''''''(((((((((((('''((((((((((((((())))))&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$%%%&&&'''''''''&&&%%%%%%%%%&&&&&&&&&...222---&&&%%%'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''((()))))))))(((((((((((())))))))))))***++++++++++++,,,,,,,,,************************)))************+++++++++))))))))))))(((((((((((('''''''''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%###!!!!!!###$$$###$$$'''#########"""######$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%&&&''''''&&&&&&&&&&&&%%%$$$""""""$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((())))))))))))((((((((((((((((((((((((''''''''''''''''''''''''(((((()))))))))(((''''''$$$&&&(((((('''&&&'''(((&&&''''''((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))(((((((((((())))))))))))***)))'''''')))))))))((())))))))))))))))))))))))******))))))))))))******************************))))))***+++,,,---............------,,,------...////////////000111222333111111222222333444444444444555666777777666555555333333333333333333333333333333333333222222222111000//////......---,,,,,,++++++++++++************))))))******))))))((('''''''''((((((((((((''''''(((&&&%%%''',,,---***'''''''''''''''((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((&&&&&&&&&''''''&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&''''''((((((''''''''''''''''''((((((((((((((((((((('''''''''''''''&&&&&&&&&'''''''''(((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&'''''''''$$$&&&'''(((((('''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&((((((&&&&&&%%%%%%%%%&&&''''''$$$+++...)))$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''((())))))***))))))))))))*********+++***++++++++++++,,,,,,,,,************************(((((()))))))))*********(((((((((((())))))))))))&&&'''''''''((((((((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%$$$#################################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$"""#########$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%!!!$$$%%%""""""&&&""""""###$$$$$$$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$######$$$&&&'''((($$$%%%&&&''''''&&&%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((())))))))))))(((((((((((((((((((((((('''''''''''''''''''''''')))))))))))))))(((((('''$$$&&&(((((('''''''''(((&&&''''''((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))(((((((((((())))))))))))+++)))'''''')))))))))((())))))))))))))))))))))))******))))))))))))******************************((()))***+++,,,---.........------,,,,,,,,,------...------......///000111000111111222333333444444333444666777777666444333333333333333333333333333222222222111111111111000000//////...------,,,,,,+++++++++************))))))))))))))))))(((''''''&&&'''((())))))((('''&&&(((&&&%%%(((,,,...***&&&''''''''''''((((((((()))''''''''''''((((((((()))''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&''''''&&&%%%%%%%%%&&&''''''((((((''''''''''''''''''((((((((()))((((((''''''&&&&&&&&&%%%&&&&&&&&&'''''''''(((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''$$$$$$%%%%%%&&&'''((((((%%%&&&((())))))(((&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&'''((()))***%%%%%%%%%%%%&&&&&&'''(((###)))+++&&&###%%%&&&###&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''((())))))***)))*********++++++++++++((())))))))))))*********))))))))))))))))))))))))''''''(((((()))))))))***''''''(((((())))))******&&&'''''''''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''&&&%%%$$$####################################$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%""""""''''''""" ###!!!"""###%%%%%%$$$######$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$######$$$&&&'''(((###$$$%%%'''((((((''''''$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))******))))))((((((''''''''''''((((((((((((''''''))))))(((((('''''''''&&&''''''''''''((((((((((((((((((((((((''''''''''''))))))))))))))))))))))))(((((((((((())))))))))))(((((((((((())))))))))))******))))))((((((''''''))))))))))))))))))))))))))))))))))))************)))***+++***((((((***+++)))************+++++++++---,,,,,,,,,,,,---......,,,,,,------.../////////000000000111222222333333444444444444333333222111444333222222333333111000222222222111111111111000,,,---//////...---......------,,,,,,+++***))))))+++***((('''''''''((()))))))))))))))))))))))))))&&&&&&&&&''''''''''''(((''''''''''''((((((((((((''''''''''''''''''''''''&&&###$$$'''&&&###&&&---))))))))))))))))))))))))(((((('''''''''&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&'''((())))))''''''''''''''''''''''''))))))))))))))))))))))))''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''((('''''''''&&&&&&%%%%%%%%%%%%&&&'''''''''&&&%%%$$$%%%%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%&&&'''(((%%%%%%&&&'''((((((''''''...+++'''%%%%%%&&&&&&&&&%%%&&&'''&&&$$$###$$$%%%%%%%%%%%%&&&&&&&&&''''''(((((())))))))))))((((((%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''))))))))))))))))))))))))(((((((((((((((((((((((((((((()))***************(((((((((((((((((((((((())))))))))))))))))))))))))))))(((((('''''''''&&&$$$$$$%%%&&&&&&''''''((('''''''''&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$'''&&&$$$######%%%&&&((($$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$%%%%%%$$$$$$###'''&&&$$$#########$$$%%%&&&$$$"""###&&&((('''%%%########################&&&$$$###$$$%%%&&&%%%$$$###%%%((('''%%%$$$&&&)))%%%%%%%%%%%%%%%%%%%%%%%%"""***222333---'''%%%&&&$$$$$$$$$%%%%%%%%%))))))))))))))))))))))))***)))))))))((((((((('''''''''(((((((((((('''''')))(((((((((''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''))))))))))))))))))))))))(((((((((((())))))))))))(((((((((((())))))))))))******))))))((((((((((((++++++++++++++++++++++++))))))))))))******************+++)))((((((***,,,)))************+++++++++,,,,,,,,,,,,,,,---......,,,,,,------...///////////////000111111222222333333333444444333222222111444333111222222333111000111111111000000000//////,,,...//////...------...------,,,++++++***))))))+++***)))((('''(((((()))))))))))))))))))))))))))&&&&&&&&&''''''''''''(((''''''''''''(((((((((((('''''''''''''''''''''''')))%%%%%%((('''$$$&&&***''''''''''''''''''''''''(((((('''''''''&&&&&&&&&&&&''''''((((((''''''&&&%%%&&&&&&&&&'''(((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%&&&'''(((&&&&&&'''(((((()))))))))...+++'''%%%%%%&&&&&&&&&%%%&&&'''&&&$$$###$$$%%%%%%%%%%%%&&&&&&&&&'''''''''(((((())))))(((((('''%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((())))))))))))((((((((((((((((((((((((((()))))))))))))))))))))))))))))))))(((((((((''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$######$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$###"""!!! !!!"""%%%###"""###%%%&&&%%%##############################$$$%%%&&&&&&&&&&&&&&&(((((((((&&&%%%$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###---888;;;666---(((&&&%%%%%%&&&&&&&&&'''))))))))))))))))))))))))))))))))))))((((((((((((''''''((((((((((((''''''((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''))))))))))))))))))))))))(((((((((((())))))))))))(((((((((((())))))))))))***))))))))))))((((((((((((((((((((((((((((((((())))))))))))*********************)))'''(((***,,,)))************+++++++++,,,,,,,,,,,,------------,,,,,,,,,---......////////////000000111111222222222333333333333222111111333222111111222333111000000000/////////.........,,,...//////...------...,,,,,,,,,+++******))))))******)))((((((((((((((())))))))))))))))))))))))&&&&&&&&&''''''''''''(((''''''''''''((((((((((((''''''''''''''''''''''''+++'''%%%'''(((&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''(((((((((((((((((('''&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%&&&'''(((((())))))---***'''%%%%%%&&&&&&&&&%%%&&&'''&&&$$$###$$$%%%%%%%%%%%%&&&&&&&&&'''''''''''''''(((((('''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&'''(((((((((((('''(((((((((((((((((((((((())))))))))))))))))))))))***)))))))))))))))((((((***))))))(((''''''&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$###""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%$$$#########$$$$$$###""""""$$$&&&&&&$$$"""$$$$$$$$$$$$$$$$$$$$$$$$"""&&&)))***(((&&&'''(((...+++'''%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!)))222555000)))%%%$$$&&&&&&&&&'''''''''))))))))))))))))))))))))))))))))))))((((((((((((''''''((((((((((((''''''((((((((((((((('''''''''''''''''''''((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))(((((((((((())))))))))))))))))))))))))))))))))))''''''''''''''''''''''''((()))))))))************)))))))))(((&&&''')))+++))))))*********+++++++++++++++,,,,,,------------+++,,,,,,------...//////......//////000111111222111222222222222222111111333111000111222222111000000000000/////////......---...000///...,,,------,,,+++++++++******))))))***))))))(((((((((((((((((((((((((((((((((((((((&&&&&&&&&''''''''''''(((''''''''''''(((((((((((('''''''''''''''''''''''')))&&&%%%&&&(((((('''&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((('''''''''''''''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''$$$$$$$$$%%%%%%&&&&&&''''''&&&%%%$$$%%%&&&'''((('''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%&&&'''))))))+++)))&&&%%%&&&&&&&&&%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&'''(((((((((((('''((((((((((((((((((((((((((((((((((((((((((((((((************))))))))))))((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!!!!###%%%&&&########################&&&%%%$$$###"""!!!""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###&&&&&&&&&%%%%%%%%%%%%&&&"""###%%%&&&'''&&&$$$"""$$$$$$$$$$$$$$$$$$$$$$$$$$$)))......***&&&&&&)))000+++%%%$$$%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%###&&&(((&&&"""!!!###&&&&&&&&&&&&&&&''''''(((((((((((((((((((((((((((((((((((())))))))))))''''''(((((((((((('''''''''''''''(((((((((((((((''''''''''''((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))(((((((((((())))))))))))))))))))))))************,,,,,,,,,,,,,,,,,,,,,,,,((()))))))))************'''((()))(((''''''((()))))))))*********+++++++++***+++,,,---------,,,,,,++++++,,,,,,---.........---......//////000111111000000111111222111111000222111000000222222222000111111000000000/////////---///000///---,,,,,,---++++++***************))))))))))))))))))(((((('''((((((((((((((((((((((((&&&&&&&&&''''''''''''(((''''''''''''((((((((((((((((((((((((((((((((((((%%%&&&%%%&&&'''((((((&&&((((((((((((((((((((((((&&&'''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%'''''''''''''''&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''###$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%$$$%%%&&&'''((('''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%&&&''')))+++,,,***(((&&&%%%&&&&&&&&&%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((()))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))************%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!!!!###%%%&&&########################&&&%%%$$$###""""""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###""""""#####################%%%'''((((((&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$(((---111000***&&&%%%''',,,((($$$###%%%'''(((&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''$$$""""""%%%((($$$%%%%%%%%%%%%&&&(((((((((((((((((((((((((((((((((((())))))))))))''''''(((((((((((('''''''''''''''(((((((((((((((''''''''''''((((((((((((((((((((((((''''''''''''))))))))))))))))))))))))(((((((((((())))))))))))(((((((((((()))))))))))))))))))))************+++++++++++++++++++++++++++))))))))))))************''')))+++,,,***))))))))))))************+++++++++)))***,,,---------,,,++++++++++++,,,------......------......//////000000//////000111111111111000111000///000222222222000111111111000000000//////...///000///---,,,,,,---************************)))))))))))))))(((''''''))))))))))))))))))))))))&&&&&&&&&''''''''''''(((''''''''''''(((((((((((((((((((((((((((((((((((($$$(((***(((&&&'''((('''))))))))))))))))))))))))&&&&&&&&&'''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''(((&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%'''''''''(((***,,,///000)))'''%%%%%%&&&'''&&&%%%###%%%&&&&&&$$$$$$%%%'''%%%%%%%%%&&&&&&&&&'''''''''''''''(((((('''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''((())))))))))))((((((((((((((((((((((((((())))))))))))))))))))))))(((((()))))))))))))))***$$$$$$%%%%%%&&&''''''(((%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$%%%%%%$$$$$$#########$$$%%%%%%%%%%%%$$$%%%'''))))))'''%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%))),,,...---)))%%%$$$%%%'''%%%######%%%'''((((((%%%%%%%%%%%%%%%%%%%%%%%%!!!$$$((()))(((%%%$$$###$$$$$$$$$%%%%%%%%%(((((((((((((((((((((((('''((((((((()))))))))***''''''((((((((((((''''''''''''''''''((((((((()))''''''''''''((((((((((((((((((((((((''''''''''''))))))))))))))))))))))))(((((((((((())))))))))))(((((((((((())))))))))))))))))*********+++++++++(((((((((((((((((((((((())))))))))))************(((+++///111///---+++***)))************+++++++++)))***,,,------,,,+++******++++++,,,,,,---......,,,------......///000000...//////000111111000000111//////000111222222111000000/////////............///000///---,,,,,,,,,))))))))))))************((())))))***)))((('''&&&))))))))))))))))))))))))&&&&&&&&&''''''''''''(((''''''''''''((((((((((((((((((((((((((((((((((((&&&...111,,,&&&&&&''''''((((((((((((((((((((((((&&&&&&&&&'''''''''((((((&&&&&&''''''''''''&&&&&&%%%&&&&&&&&&'''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((((((((($$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$###$$$%%%&&&''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&&&&&&&%%%$$$&&&&&&&&&'''))),,,///111(((&&&%%%%%%&&&'''&&&$$$###$$$&&&%%%%%%$$$&&&'''%%%%%%%%%&&&&&&&&&'''''''''(((((())))))(((((('''%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((('''(((((((((((((((((((((((())))))))))))))))))))))))''''''((((((((()))))))))&&&&&&&&&&&&''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%'''(((((((((''''''%%%'''((('''%%%$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&%%%$$$######$$$%%%$$$$$$$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%!!!###&&&((('''%%%###"""%%%%%%%%%%%%&&&&&&(((((((((((((((((((((((('''((((((((())))))******''''''((((((((((((''''''&&&'''''''''(((((())))))''''''''''''((((((((())))))(((((((((''''''''''''))))))))))))))))))))))))(((((((((((())))))))))))(((((((((((())))))))))))))))))******++++++++++++************************))))))))))))************)))---222444333000---+++)))************+++++++++(((***+++------,,,+++******++++++,,,,,,---......,,,,,,------...//////000......///000000111000000000/////////111222222111//////.........---------...000000000---,,,,,,,,,)))))))))))))))*********((()))*********)))'''&&&))))))))))))))))))))))))&&&&&&&&&'''''''''((((((''''''''''''((((((((())))))))))))))))))))))))))))))333777///&&&$$$&&&'''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((''''''((((((((((((''''''%%%%%%&&&&&&'''((())))))''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&'''''''''''''''''''''''''''''''''%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((()))$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$#########"""$$$%%%'''(((((('''&&&%%%%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$######"""###&&&))),,,///'''&&&%%%%%%''''''&&&$$$###$$$&&&%%%%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''(((((())))))))))))((((((%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&(((((((((((((((((((((((())))))))))))))))))))))))&&&'''''''''(((((()))))))))))))))(((''''''&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$$$$$$$$$$###""""""""""""""""""""""""$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$!!!"""$$$%%%&&&%%%$$$$$$%%%'''(((&&&###"""$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%###"""!!!"""$$$%%%$$$###"""$$$'''&&&###"""$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%)))(((&&&%%%%%%&&&(((***&&&&&&&&&'''''''''))))))))))))))))))))))))************************))))))************))))))))))))(((((((((((())))))(((((((((((())))))))))))))))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************))))))))))))))))))))))))+++)))((()))******)))(((+++***)))(((((()))***+++************************))))))))))))************************************++++++,,,,,,,,,,,,------,,,,,,,,,---------......//////000000000000//////000000111111111111000000000000//////.........---///......------......///,,,+++******))))))******(((((((((((((((((((((((((((((())))))))))))((((((&&&&&&&&&'''''''''(((((((((((((((((((((((((((((('''(((((()))))))))))))))++++++***)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((((((((''''''''''''(((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%&&&'''((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&$$$######$$$&&&'''&&&((()))(((%%%$$$$$$$$$!!!&&&(((%%%&&&,,,---***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&''''''''''''&&&&&&&&&&&&%%%$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%(((((())))))((('''&&&&&&&&&''''''((((((((((((((())))))))))))))))))))))))+++***((('''&&&''')))***(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%$$$###"""!!! ######$$$$$$$$$%%%%%%%%%$$$"""+++777888,,,$$$%%%##############################$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%###"""###$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&'''&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###(((------)))$$$))))))))))))))))))))))))(((((((((((((((((((((((())))))************))))))))))))(((((((((((())))))(((((((((((())))))))))))(((((()))))))))*********))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************))))))))))))))))))))))))+++)))((()))***+++)))(((+++***)))(((((()))***+++************************(((((()))))))))*********************************+++++++++,,,,,,,,,------,,,,,,,,,------------...//////000000000000//////000000111111111111000000000/////////.........---,,,,,,++++++++++++,,,,,,,,,+++******))))))******((((((((((((((((((((((((''''''((((((((((((''''''&&&&&&&&&'''''''''((((((((((((((((((((((((((((((''''''((()))))))))((((((&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((''''''''''''(((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&'''(((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$######$$$&&&''''''((())))))&&&%%%%%%%%%"""&&&&&&%%%''',,,,,,(((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((('''&&&&&&&&&''''''(((((((((((((((((((((((((((((((((((((((***)))(((''''''((()))+++(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%$$$$$$###"""%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$##################$$$$$$$$$%%%%%%%%%### %%%......&&&"""%%%##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%###"""###$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&(((''''''&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%'''+++//////***'''))))))))))))))))))))))))((((((((((((((((((((((((((())))))******))))))((())))))(((((((((((())))))(((((((((((())))))))))))(((((())))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************))))))))))))))))))))))))***)))((()))***+++***)))******))))))))))))******))))))))))))))))))))))))(((((())))))))))))******************************++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------...//////000000//////...///000000111111000000////////////...............+++******************+++++++++***))))))))))))***((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''''''''((((((((((((((((((((((((&&&&&&'''(((((((((((('''###$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((''''''''''''(((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((('''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&''')))***)))'''&&&&&&&&&###$$$$$$%%%))),,,+++&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''(((((((((((('''&&&&&&&&&''''''(((((((((((((((((((((((((((((((((((((((((((((''''''''')))***+++(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&***)))(((&&&$$$"""!!! %%%$$$$$$$$$$$$############$$$$$$$$$%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%%%% &&&&&&!!!!!!'''##############################$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%&&&$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%###"""###$$$#########$$$$$$$$$$$$%%%###$$$$$$%%%%%%%%%%%%%%%((((((''''''''''''((((((&&&&&&''''''''''''''''''&&&)))+++***&&&$$$))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))))))))(((((())))))(((((((((((())))))(((((((((((())))))))))))(((((((((((()))))))))***(((((((((((((((((((((((((((((((((((((((((((((((((((((()))***************))))))))))))))))))))))))***)))((()))***+++***)))***))))))))))))))))))***(((((((((((((((((((((((((((((((((((()))))))))******************************++++++++++++,,,,,,,,,++++++,,,,,,,,,---------...//////////////////...//////000000000000//////........................,,,,,,++++++++++++,,,,,,++++++***)))))))))))))))((((((((((((((((((((((((&&&''''''((((((''''''&&&''''''''''''''''''''''''((((((((((((((((((((((((%%%&&&&&&'''''''''''''''&&&&&&'''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((''''''''''''(((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&((()))(((&&&%%%%%%&&&$$$$$$$$$&&&***,,,((($$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''(((((('''&&&&&&&&&''''''(((((((((((((((((((((((((((((((((((((((''''''''''''((()))+++,,,(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))'''&&&$$$"""!!!!!!$$$$$$$$$#########""""""$$$$$$$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&"""!!!$$$$$$"""###(((##############################$$$$$$$$$%%%%%%%%%""""""###$$$%%%%%%&&&&&&$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%###"""###$$$""""""#########$$$$$$$$$"""###$$$$$$%%%%%%$$$$$$'''&&&&&&&&&&&&''''''(((''''''''''''((((((((((((&&&'''(((&&&$$$###))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))))))))(((((())))))(((((((((((())))))(((((((((((())))))))))))'''(((((((((((()))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((()))***************)))))))))))))))))))))))))))(((((((((***++++++))))))))))))******)))))))))(((((((((((((((((((((((('''(((((((((((()))))))))))))))))))))))))))))))))*********+++++++++,,,,,,+++++++++,,,,,,,,,------......////////////......//////000000000000//////---------...............,,,++++++******++++++,,,+++***))))))(((((())))))((((((((((((((((((((((((((((((((())))))((((((((('''''''''''''''''''''&&&((((((((((((((((((((((((%%%&&&&&&'''''''''''''''))))))))))))((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((''''''''''''(((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&''''''%%%$$$$$$%%%%%%$$$%%%))),,,***'''$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&''''''((((((((((((((('''''''''''''''''''''''''''''''''((()))***++++++(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%$$$######$$$$$$$$$#########""""""%%%$$$$$$$$$$$$###############$$$$$$$$$%%%%%%%%%%%%######%%%%%%$$$$$$&&&##############################$$$$$$$$$%%%%%%%%%""""""###$$$%%%%%%&&&&&&$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%###"""###$$$""""""#########$$$$$$$$$"""###$$$$$$%%%%%%$$$$$$%%%$$$$$$$$$%%%%%%&&&''''''''''''(((((())))))))))))))))))'''&&&&&&))))))))))))))))))))))))(((((((((((((((((((((((('''(((((())))))(((((('''))))))(((((((((((())))))(((((((((((())))))))))))''''''(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************)))))))))))))))))))))))))))((('''(((***++++++***))))))************))))))))))))))))))))))))))))))''''''(((((((((((())))))))))))))))))))))))))))))************++++++++++++++++++++++++,,,,,,,,,,,,---......//////......---...//////000000//////...---------------.........***))))))))))))))))))*********)))(((((((((((()))(((((((((((((((((((((((((((((())))))))))))(((((('''''''''''''''&&&&&&&&&((((((((((((((((((((((((&&&&&&'''(((((((((((('''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''(((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&&&&$$$###$$$%%%$$$%%%(((------(((%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&''''''''''''&&&&&&$$$%%%&&&&&&''''''&&&&&&$$$%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''&&&&&&''''''(((((((((((((((''''''''''''''''''''''''''''''(((((())))))******(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$#########%%%%%%$$$$$$#########"""######$$$$$$$$$%%%%%%%%%!!!"""###%%%%%%$$$####################################$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%&&&$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%###"""###$$$#########$$$$$$$$$$$$%%%###$$$$$$%%%%%%%%%%%%%%%############$$$%%%&&&'''&&&&&&''''''((()))))))))''''''&&&%%%%%%&&&))))))))))))))))))))))))((((((((((((((((((((((((''''''((((((((((((''''''))))))(((((((((((())))))(((((((((((())))))))))))'''''''''((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************)))))))))))))))))))))))))))((('''(((***,,,+++***((()))***++++++***)))(((************************'''''''''((((((((())))))))))))))))))))))))))))))************++++++++++++***++++++++++++,,,,,,,,,---......//////......---......////////////......,,,,,,,,,------.........*********))))))***************)))((((((((((((((((((((((((((((((((((((((('''(((((((((((((((((('''(((((('''''''''&&&&&&&&&((((((((((((((((((((((((''''''((()))))))))((((((%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''(((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$###%%%&&&&&&%%%$$$%%%%%%###&&&,,,111...&&&$$$(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&''''''''''''&&&&&&$$$%%%&&&'''''''''&&&&&&$$$$$$%%%%%%&&&''''''(((&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&'''''''''&&&&&&''''''(((((((((((((((''''''''''''''''''''''''(((((()))))))))))))))((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%!!!###$$$$$$%%%%%%$$$#################################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%###"""###$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&''''''%%%%%%&&&''''''((())))))$$$#########$$$$$$))))))))))))))))))))))))************************''''''((((((((((((''''''))))))(((((((((((())))))(((((((((((())))))))))))''''''''''''((((((((()))))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************))))))))))))))))))))))))(((''''''(((+++,,,+++***((()))***++++++***)))(((************************''''''''''''((((((((())))))))))))))))))))))))))))))************+++++++++******+++++++++,,,,,,,,,---..................---......////////////......,,,,,,,,,------.........------,,,,,,,,,,,,------******)))(((((((((((((((((((((((((((((((((((((((&&&''''''''''''''''''&&&(((((('''''''''&&&&&&&&&(((((((((((((((((((((((('''(((((()))))))))))))))$$$%%%%%%&&&'''))))))***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''(((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''''''''&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&''''''((()))&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&"""$$$&&&&&&%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$&&&''''''&&&%%%&&&'''###'''///444...%%%$$$***&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%$$$$$$%%%%%%&&&'''&&&''''''''''''''''''&&&$$$%%%&&&'''''''''&&&%%%$$$$$$%%%%%%&&&'''((((((&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&'''''''''&&&&&&''''''(((((((((((((((''''''''''''''''''''''''((()))))))))))))))((('''(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$###$$$$$$%%%&&&(((((()))######$$$$$$$$$%%%%%%%%%$$$%%%&&&%%%%%%''''''%%%##############################$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%###"""###$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%&&&'''((()))%%%%%%%%%&&&'''(((((()))&&&%%%%%%&&&'''((())))))))))))))))))))))))))))))(((((((((((())))))''''''''''''((((((((()))******))))))((((((''''''******))))))((((((''''''(((((((((((())))))))))))''''''((((((((((((''''''))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))***)))(((''''''((()))***))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************)))))))))))))))******+++((()))+++,,,---.........---------............///......////////////..............................------,,,++++++******)))+++++++++*********))))))))))))(((((('''''''''&&&(((((()))***************((((((((((((((((((((((((&&&&&&&&&''''''''''''(((((((((''''''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((((((((('''''''''&&&&&&&&&%%%&&&'''(((((('''&&&%%%''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((''''''&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&'''''''''((((((((('''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$''''''''''''''''''''''''"""###$$$$$$%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&))),,,+++(((%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$###"""!!!&&&&&&&&&''''''''''''((()))))))))(((''''''&&&&&&''''''''''''''''''''''''***)))((('''&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$################################################!!!""""""#########"""""""""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(((((((((((())))))))))))&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))))))))(((((((((((())))))'''''''''((((((((())))))***)))))))))((((((((('''***)))))))))((((((((('''(((((((((((()))))))))***(((((())))))))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))***)))(((''''''((()))***))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************)))))))))))))))******+++((()))+++,,,---.........------------............------............------........................---,,,,,,++++++******)))+++++++++*********)))))))))))))))(((((((((''''''(((((()))************)))((((((((((((((((((((((((&&&&&&&&&''''''''''''(((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((((((((('''''''''&&&&&&&&&&&&&&&'''(((((('''&&&&&&''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''***,,,+++(((%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$######&&&&&&&&&&&&''''''''''''((((((((((((''''''''''''(((((((((((((((((((((((()))((('''&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######################################################$$$######"""!!! """############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""&&&&&&&&&&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))))))))(((((((((((())))))''''''((((((((()))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((()))))))))******))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************)))))))))))))))******+++))))))+++,,,------------------------............,,,,,,------------,,,,,,------------------------,,,,,,,,,+++******))))))+++************)))))))))***)))))))))))))))(((((('''((())))))******))))))((((((((((((((((((((((((&&&&&&&&&''''''''''''((())))))((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((('''''''''''''''&&&&&&&&&&&&&&&'''(((((('''&&&&&&''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&(((***+++***'''%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%&&&(((((()))&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&''''''''''''((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$################################################%%%%%%$$$$$$###""" """############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$######'''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))))))))(((((((((((())))))'''(((((((((((()))))))))))))))))))))(((((((((((())))))))))))(((((((((((((((((()))))))))******************++++++*********))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))((()))))))))************)))))))))))))))******+++))))))***,,,,,,---------,,,,,,---------.........,,,,,,------------,,,,,,------------------------,,,,,,++++++***)))))))))************))))))))))))************))))))))))))'''(((((()))))))))))))))((((((((((((((((((((((((&&&&&&&&&''''''''''''((()))))))))))))))(((((((((''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''&&&''''''''''''''''''&&&''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''(((((((((((((((%%%%%%&&&&&&&&&&&&&&&&&&******)))((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%'''((())))))&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%&&&&&&&&&'''''''''%%%%%%&&&''''''((())))))((((((((((((((((((((((((&&&&&&&&&&&&&&&'''((()))'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$################################################$$$$$$$$$$$$######"""!!!""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$###%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))))))))(((((((((((())))))(((((((((((()))))))))***(((((((((((())))))))))))(((((((((((())))))))))))))))))))))))******************++++++++++++******))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))))))))(((((())))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))((()))))))))************)))))))))))))))******+++))))))***+++,,,,,,,,,,,,,,,,,,,,,------------...------............------------------------------,,,,,,+++******))))))((())))))))))))))))))))))))))))))))))))************''''''((()))))))))))))))((((((((((((((((((((((((&&&&&&&&&''''''''''''(((((((((((()))))))))))))))''''''''''''''''''''''''((((((((((((((((((((((((&&&''''''''''''''''''''''''''''''&&&&&&'''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''''''''&&&%%%%%%%%%&&&&&&&&&'''''',,,***((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%&&&'''((()))&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&''''''(((%%%%%%%%%&&&&&&&&&&&&'''$$$$$$%%%&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$################################################!!!"""###$$$$$$$$$$$$$$$""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))))))))(((((((((((())))))((((((((()))))))))******(((((((((((())))))))))))(((((((((((()))))))))))))))))))))*********++++++******++++++++++++******))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))))))))(((((())))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************)))))))))))))))******+++))))))***++++++,,,++++++,,,,,,,,,,,,------------------............------,,,,,,,,,,,,,,,,,,,,,,,,+++++++++***))))))(((((((((((()))))))))))))))***(((((()))))))))))))))***&&&'''(((((())))))((((((((((((((((((((((((((((((&&&&&&&&&''''''''''''(((''''''(((((((((((())))))''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&'''''''''''''''((('''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&%%%%%%&&&&&&'''(((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&&&&'''((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''$$$$$$%%%&&&&&&&&&&&&%%%$$$%%%%%%&&&&&&'''''''''---+++'''%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%########################$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&'''((()))'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$################################################ !!!###$$$%%%&&&&&&&&&"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%$$$$$$&&&'''''''''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))))))))(((((((((((())))))(((((()))))))))*********'''((((((((()))))))))***'''((((((((()))))))))***))))))*********+++++++++))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))'''((()))******)))((('''))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************)))))))))))))))******+++)))******++++++++++++***++++++,,,,,,,,,---------,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******))))))(((((((((((((((((())))))******''''''((((((((()))))))))&&&'''(((((())))))((((((((((((((((((((((((((((((&&&&&&&&&''''''''''''(((&&&&&&'''''''''(((((((((''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&'''''''''((((((((('''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&%%%%%%&&&&&&'''(((((()))''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&'''''''''%%%%%%&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$%%%%%%&&&''''''(((///+++&&&$$$%%%''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&''''''((('''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$################################################"""######$$$%%%%%%%%%%%%"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%$$$%%%&&&&&&'''((()))******%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))************'''((((((((())))))******'''((((((((())))))******)))************+++++++++))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))'''((()))******)))((('''))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************)))))))))))))))******+++)))******+++++++++******++++++,,,,,,,,,---------+++++++++,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++******)))((((((((('''((((((((())))))******&&&'''''''''(((((())))))&&&''''''(((((((((((((((((((((((((((((((((((((((&&&&&&&&&'''''''''((((((%%%&&&&&&&&&''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&&&&'''''''''((((((((('''&&&%%%%%%&&&'''((())))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((''''''&&&%%%%%%&&&&&&'''((())))))((((((((((((((((((((((((%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&'''''''''(((((((((''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&$$$$$$%%%%%%&&&'''((((((///+++&&&$$$%%%'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''(((''''''&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$################################################$$$$$$%%%%%%%%%$$$$$$###"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$%%%&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%"""###$$$%%%&&&((())))))%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&*********)))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))***************)))((((((((()))+++,,,)))************+++++++++++++++++++++++++++++++++(((((()))************************)))))))))))))))))))))(((((()))***++++++))))))))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************)))(((((((((***---000222------------,,,,,,+++***++++++,,,,,,,,,,,,------------++++++++++++------************))))))))))))((((((((((((((()))******))))))))))))((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((((((((&&&%%%%%%'''(((((('''((((((((((((((((((''''''))))))((('''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&'''((())))))***'''((()))******)))((('''(((((())))))))))))(((((('''''''''''''''''''''''''''&&&&&&&&&&&&'''(((((('''((()))***)))'''%%%$$$''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&******)))((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$######$$$$$$$$$%%%&&&''''''%%%%%%&&&'''((()))***++++++***)))(((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''(((((('''&&&%%%###############%%%(((++++++)))&&&######%%%''')))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$'''&&&&&&&&&&&&'''((((((''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&%%%$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%&&&'''((((((***)))'''&&&&&&'''((()))'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''(((((('''&&&%%%%%%$$$$$$################################################%%%%%%%%%$$$$$$#################################""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$########################$$$$$$$$$%%%%%%%%%&&&%%%$$$######$$$%%%&&&%%%'''((((((&&&%%%%%%&&&)))'''$$$$$$&&&&&&###!!!"""$$$&&&%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''######$$$$$$%%%&&&)))))))))))))))*********))))))))))))))))))))))))))))))(((((((((((())))))(((((((((((()))))))))***))))))))))))))))))))))))))))))))))))***************)))((((((((()))++++++)))************+++++++++++++++++++++++++++++++++''''''((()))))))))))))))***))))))))))))))))))))))))))))))))))))***+++,,,*********)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************))))))((((((***,,,///000++++++,,,,,,+++******)))+++++++++,,,,,,,,,------,,,+++************+++,,,************))))))))))))((((((((((((((()))******))))))))))))((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''***)))((((((''''''((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&''''''((())))))***(((((())))))))))))(((((((((((())))))))))))(((((('''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((%%%&&&'''(((((('''&&&$$$''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''((((((%%%&&&''''''%%%$$$%%%&&&%%%&&&''''''''''''&&&%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''''''''&&&%%%%%%%%%$$$$$$%%%'''+++---***(((&&&$$$$$$%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$'''&&&&&&&&&&&&'''((((((''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&$$$%%%%%%&&&&&&''''''''')))((('''&&&&&&'''(((***'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''(((''''''&&&%%%%%%$$$$$$################################################%%%%%%%%%$$$$$$$$$#################################$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$########################$$$$$$$$$%%%%%%%%%$$$$$$###""""""###$$$$$$###%%%&&&&&&$$$######$$$(((&&&$$$$$$&&&&&&$$$""""""$$$'''((('''&&&''''''%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%&&&'''(((((())))))******++++++))))))))))))))))))))))))***))))))(((((())))))***((((((((()))))))))******))))))))))))))))))))))))))))))))))))************)))))))))((()))******+++)))************+++++++++++++++++++++++++++++++++&&&'''(((((())))))(((((())))))))))))))))))******+++************+++,,,,,,+++*********))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))******************))))))***+++---...******************)))(((++++++++++++,,,,,,,,,,,,+++******))))))******+++************))))))))))))((((((((((((((()))******))))))))))))((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((((((((+++---,,,)))'''''')))&&&&&&&&&&&&&&&&&&''''''***)))(((((('''(((((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&''''''((())))))))))))(((((((((((((((((()))'''(((((())))))((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((%%%&&&''')))******)))(((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&'''((('''%%%$$$%%%&&&$$$%%%&&&&&&&&&&&&%%%$$$''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%'''&&&%%%%%%'''***...000((('''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%'''&&&&&&&&&&&&'''((((((''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&''')))***'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%$$$$$$$$$$$$###########################$$$$$$%%%%%%%%%&&&&&&&&&##############################$$$$$$$$$%%%%%%%%%######$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######""""""""""""#########%%%&&&&&&$$$######$$$&&&%%%$$$$$$&&&&&&%%%$$$$$$&&&''''''&&&%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&''''''''''''((()))***++++++,,,))))))))))))))))))))))))***))))))))))))))))))***(((((()))))))))*********))))))))))))))))))))))))((()))))))))************)))))))))))))))******+++))))))*********+++++++++************************'''(((((())))))))))))))))))))))))))))))*********,,,+++++++++++++++,,,,,,++++++******)))((((((((())))))))))))))))))))))))))))))))))))))))))))))))((()))))))))************++++++******)))***++++++)))******+++******))))))***++++++++++++,,,,,,,,,++++++************++++++************)))))))))(((((((((((((((((())))))***))))))))))))((((((((((((''''''''''''''''''''''''&&&''''''((((((((((((((()))...222111,,,((()))+++%%%%%%%%%&&&&&&&&&&&&&&&)))(((''''''&&&&&&''''''((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''(((((()))))))))((('''&&&&&&'''((()))'''((((((((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((&&&''')))+++,,,---------'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&'''((('''%%%$$$$$$%%%'''''''''(((((('''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$%%%(((,,,///111&&&&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%'''&&&&&&&&&&&&'''((((((''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&'''''''''&&&$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&%%%%%%&&&&&&((()))***'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$%%%%%%%%%%%%&&&""""""""""""""""""""""""######$$$$$$$$$%%%%%%%%%######$$$$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%$$$##################$$$%%%'''((('''&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%&&&%%%###"""###$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''''''''((()))***++++++,,,))))))))))))))))))))))))******))))))))))))******))))))))))))************))))))))))))))))))))))))((()))))))))************((()))))))))************))))))*********+++++++++************************))))))***++++++++++++***(((((())))))************,,,,,,+++++++++++++++,,,************))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))((()))))))))************++++++******))))))))))))******+++++++++++++++************+++++++++,,,,,,+++,,,,,,,,,,,,,,,,,,+++************)))))))))(((((((((((((((((())))))***))))))))))))((((((((((((''''''''''''''''''''''''&&&''''''((((((((((((((((((---111000***''''''***%%%%%%%%%&&&&&&&&&''''''((('''&&&&&&%%%%%%&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''(((((((((((()))((('''&&&&&&'''((()))''''''(((((((((((('''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((&&&''')))***+++------...&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&******))))))))))))******&&&'''((('''%%%$$$%%%&&&((((((((((((((((((((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###%%%))),,,......$$$%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%$$$$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''((())))))'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$####################################$$$$$$$$$$$$""""""""""""""""""""""""######$$$$$$$$$%%%%%%%%%######$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''((('''&&&%%%%%%%%%###$$$%%%%%%%%%%%%&&&'''%%%&&&&&&%%%###"""###$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''(((((())))))******++++++))))))))))))))))))))))))+++******))))))******+++)))))))))*********++++++))))))))))))))))))))))))))))))))))))************(((((()))************))))))************+++++++++************************)))***++++++,,,,,,++++++((((((((()))******++++++,,,,,,+++************+++)))))))))))))))))))))***))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************++++++*********))))))))))))***++++++,,,+++++++++************+++++++++++++++,,,,,,------,,,,,,+++************))))))))))))((((((((((((((()))******))))))))))))((((((((((((''''''''''''''''''''''''&&&''''''(((((((((((((((&&&(((+++***'''%%%%%%&&&%%%%%%%%%&&&''''''((((((((('''&&&&&&%%%%%%&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''''''''(((((((((((((((((((((''''''''''''''''''(((&&&''''''((((((''''''&&&'''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((%%%%%%&&&&&&'''((())))))&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&)))((((((''''''(((((()))%%%&&&''''''%%%%%%&&&'''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$###"""%%%***---,,,***$$$%%%%%%&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&'''((((((''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''''''''((('''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###########################$$$$$$$$$$$$%%%%%%%%%########################""""""#########$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%######$$$$$$%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%###%%%&&&&&&$$$######$$$###$$$&&&%%%%%%$$$&&&''''''((((((&&&$$$$$$%%%'''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&)))))))))))))))*********))))))))))))))))))))))))+++******))))))******+++))))))*********+++++++++))))))))))))))))))))))))))))))))))))************'''((()))***+++******))))))************+++++++++************************))))))***+++++++++++++++'''(((((()))******++++++,,,+++***)))))))))))))))((((((((()))******++++++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))***************************))))))(((((())))))***++++++******************++++++++++++***+++,,,,,,,,,,,,+++***************))))))))))))((((((((((((((()))******))))))))))))((((((((((((''''''''''''''''''''''''&&&''''''(((((((((((((((''''''''''''&&&&&&&&&&&&%%%&&&&&&'''(((((())))))))))))(((''''''''''''(((((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((((((((('''&&&''''''((((((''''''&&&&&&''''''((((((''''''&&&'''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((&&&%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&###%%%&&&&&&&&&&&&'''(((&&&&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%&&&''''''$$$###$$$(((,,,...+++'''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((('''&&&&&&&&&&&&'''((((((''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&'''''''''%%%&&&&&&&&&'''&&&&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%##############################$$$$$$$$$%%%%%%%%%#################################$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$$$$%%%&&&&&&'''######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&&&&&&&%%%$$$###%%%&&&&&&$$$######$$$###%%%'''&&&$$$###%%%''''''''''''&&&$$$$$$&&&(((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%*********)))))))))))))))))))))))))))))))))))))))++++++************++++++)))************+++++++++))))))))))))))))))))))))))))))))))))************'''((()))++++++******))))))************+++++++++))))))))))))))))))))))))(((((()))***************'''(((((()))***+++++++++++++++***)))(((((())))))''''''((()))***+++,,,,,,))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************))))))************))))))''''''((())))))))))))))))))************+++++++++)))***+++,,,,,,+++***)))************))))))))))))((((((((((((((()))******))))))))))))((((((((((((((((((((((((((((((((((((&&&''''''(((((((((((((((***(((''''''(((***))))))&&&&&&''''''((()))******++++++***)))))))))))))))((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((('''''''''%%%&&&'''(((((('''&&&%%%&&&''''''''''''''''''&&&'''''''''''''''''''''''''''&&&&&&&&&&&&'''(((((((((((('''%%%%%%$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''(((((("""$$$&&&&&&&&&&&&((()))''''''%%%%%%%%%%%%''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&&&&&&&'''(((%%%$$$%%%)))...///***%%%%%%$$$$$$$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((('''&&&&&&&&&&&&'''((((((''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&'''''''''''''''&&&$$$$$$$$$$$$&&&'''''''''''''''''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%&&&'''((((((&&&&&&&&&''''''&&&%%%%%%'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#################################$$$$$$%%%%%%%%%########################$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%&&&''''''######$$$$$$$$$%%%%%%%%%###$$$%%%&&&&&&%%%$$$###%%%'''((((((&&&%%%%%%&&&###&&&'''&&&$$$###$$$'''$$$%%%%%%###""""""$$$'''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))+++++++++*********))))))*********)))))))))))))))++++++++++++++++++++++++************************))))))************))))))******))))))******+++,,,))))))))))))))))))))))))))))))(((((()))+++---...++++++++++++++++++++++++************************++++++************++++++++++++***)))(((((()))))))))))))))))))))))))))))))))************+++++++++)))******)))((())),,,...,,,+++***)))))))))***+++)))))))))))))))))))))))),,,,,,,,,++++++*********************************))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((''''''''''''(((((((((((())))))(((((('''''''''&&&))))))((((((''''''&&&&&&((((((((((((((((((((((((((((((((((((((('''''''''''''''''''''''''''''''''&&&&&&'''((())))))((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''''''''&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''(((''''''&&&&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&''''''###$$$---111,,,&&&%%%%%%&&&&&&''''''&&&&&&%%%'''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''&&&''''''&&&$$$$$$&&&'''(((((())))))))))))(((((($$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''(((((('''''''''&&&&&&&&&''''''(((((('''&&&%%%%%%'''''''''&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$######%%%###!!!###&&&'''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%###""""""###%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%######$$$$$$$$$%%%%%%%%%########################$$$$$$######$$$$$$%%%&&&%%%&&&&&&''''''&&&&&&%%%'''$$$!!!!!!###$$$###!!!$$$$$$%%%%%%&&&&&&%%%%%%)))(((&&&%%%$$$$$$%%%&&&'''&&&%%%&&&((((((((('''''''''''''''''''''))))))))))))))))))))))))************************************************+++++++++*********))))))************))))))))))))++++++++++++++++++++++++************************))))))************))))))******))))))******+++,,,***************************))))))))))))+++,,,---++++++++++++++++++++++++************************++++++************++++++++++++***)))))))))))))))************************)))************+++++++++)))*********))))))+++---...---,,,+++******++++++))))))))))))))))))))))))+++++++++******)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((''''''''''''(((((((((((()))(((((((((''''''''''''((((((((((((((('''''''''((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''''''''''''''&&&'''((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%&&&&&&'''(((%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''&&&&&&&&&''''''''''''((('''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''$$$&&&---000,,,'''%%%%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''''''''&&&%%%%%%&&&''''''&&&''''''&&&%%%$$$&&&((((((((())))))))))))((((((%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''(((((('''''''''&&&&&&&&&''''''(((((('''&&&&&&%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$######%%%###"""###%%%'''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%###""""""###%%%&&& ###%%%%%%%%%%%%$$$######""""""######$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&######$$$$$$$$$$$$######&&&$$$###$$$&&&'''&&&$$$######!!! !!!!!!'''&&&%%%%%%%%%&&&'''((('''&&&%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))************************************************+++++++++***************************************++++++++++++++++++++++++++++++++++++++++++++++++))))))************))))))******))))))******+++,,,************************+++******)))******++++++++++++++++++++++++++++++************************++++++************++++++++++++***))))))))))))***************************)))************+++++++++)))***+++***))))))+++---000///...---,,,,,,,,,,,,))))))))))))))))))))))))*********)))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((('''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((''''''((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&%%%&&&&&&'''(((&&&&&&&&&&&&'''''''''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''%%%&&&&&&&&&&&&'''''''''&&&&&&&&&''''''''''''((('''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&&&&'''''''''%%%(((---///+++'''%%%&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''''''''&&&%%%%%%&&&''''''&&&''''''&&&%%%%%%&&&((((((((())))))))))))((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$#########%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''''''&&&&&&&&&'''''''''(((''''''&&&%%%'''&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$######$$$#########%%%&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&!!!$$$%%%%%%###!!!###""""""""""""""""""#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&######$$$$$$$$$$$$###############%%%'''((('''%%%***)))'''&&&&&&'''((()))%%%%%%$$$$$$%%%&&&((()))'''%%%%%%&&&'''((('''&&&%%%%%%%%%%%%%%%%%%))))))))))))))))))))))))************************************************************************)))***************++++++++++++++++++++++++++++++++++++++++++++++++++++++)))******++++++******)))******))))))******+++,,,************************++++++******************++++++++++++++++++++++++************************,,,++++++******++++++,,,++++++***))))))*********************************))))))*********+++++++++)))***++++++))))))***,,,000///...---,,,+++++++++))))))))))))))))))))))))******************))))))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((('''''''''&&&&&&''''''(((((())))))((((((((((((((((((((((((''''''''''''((((((((((((''''''''''''''''''''''''(((((())))))((('''&&&&&&''''''''''''''''''''''''%%%&&&''''''((('''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&'''((((((''''''''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&''''''''''''((((((''''''&&&&&&''''''(((''''''&&&&&&&&&&&&''''''&&&(((+++------***'''&&&&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&''''''&&&%%%%%%''')))(((((())))))))))))(((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&&&&((((((((('''%%%$$$######""""""""""""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&''''''''''''&&&&&&!!!!!!"""$$$%%%%%%$$$$$$"""######$$$%%%%%%&&&&&&&&&%%%%%%$$$%%%&&&'''(((&&&%%%$$$%%%'''((('''&&&%%%%%%%%%%%%%%%%%%))))))))))))))))))))))))************************************************************************))))))******+++++++++,,,++++++++++++++++++++++++++++++++++++++++++++++++******++++++++++++************))))))******+++,,,***************************+++++++++*********)))++++++++++++++++++++++++************************,,,,,,++++++++++++,,,,,,+++***************++++++************************))))))*********+++++++++)))+++,,,+++***)))***+++---------,,,+++******)))))))))))))))))))))))))))++++++++++++++++++++++++************************(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))''''''''''''(((((((((((('''''''''(((((((((((((((&&&&&&''''''(((((())))))((((((((((((((((((((((((&&&'''''''''(((((())))))(((((((((((((((((((((((((((((())))))((('''&&&&&&''''''''''''''''''''''''%%%&&&''''''((('''''''''''''''&&&&&&&&&&&&'''''''''&&&&&&&&&&&&'''(((((('''''''''((((((((())))))''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&'''''''''((((((&&&&&&&&&''''''''''''((())))))(((((((((((())))))(((''''''&&&&&&''''''(((&&&***......+++(((''''''&&&''''''((((((''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&''''''&&&&&&(((***(((((())))))))))))((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&'''''''''''''''''''''&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$&&&)))---111333$$$$$$$$$######$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&''''''((((((((((((''''''###$$$%%%%%%%%%%%%%%%%%%...///111222111///,,,+++((('''&&&%%%$$$%%%%%%&&&&&&%%%$$$%%%'''''''''&&&%%%%%%%%%%%%%%%%%%))))))))))))))))))))))))++++++++++++++++++++++++++++++++++++++++++++++++***************+++++++++))))))******+++,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,******++++++++++++************))))))******+++,,,++++++++++++++++++++++++)))******+++++++++******++++++++++++++++++++++++************************,,,,,,++++++++++++,,,,,,+++************+++,,,,,,++++++++++++++++++++++++)))************+++++++++)))+++,,,,,,***))))))*********+++++++++***)))((())))))))))))))))))))))))+++++++++++++++,,,,,,,,,************************))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))''''''''''''(((((((((((('''''''''((((((((((((((('''''''''(((((((((((((((((((((((((((((((((((((((&&&&&&''''''((()))))))))(((((((((((((((((((((((((((((((((((((((((('''&&&''''''''''''''''''''''''%%%&&&''''''((((((''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&''''''((()))''''''''''''((((((((()))''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&'''''''''(((((((((&&&&&&&&&''''''''''''((()))(((((((((((((((((()))((((((''''''''''''((((((%%%---111...)))'''''''''''''''((((((((((((''''''''''''''''''''''''''''''&&&'''(((((((((((('''&&&%%%&&&''''''&&&''')))***(((((())))))))))))(((((('''''''''''''''''''''''''''''''''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&'''''''''''''''%%%&&&''''''((('''''''''%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$######$$$%%%&&&%%%#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###&&&***...111%%%%%%$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&'''(((''''''(((***,,,AAABBBBBBBBB???;;;666444)))(((&&&%%%$$$$$$%%%%%%&&&$$$$$$%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%))))))))))))))))))))))))++++++++++++++++++++++++++++++++++++++++++++++++))))))*********+++++++++))))))***++++++,,,------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,,,,++++++*********))))))******+++,,,++++++++++++++++++++++++((()))***+++,,,,,,++++++++++++++++++++++++++++++************************---,,,,,,++++++,,,,,,---+++*********++++++,,,---++++++++++++++++++++++++)))************+++++++++)))+++---,,,+++)))))))))((()))***+++++++++***))))))))))))))))))))))))))))))*********++++++++++++************************))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))''''''''''''((((((((((((''''''''''''((((((((()))((((((((((((((('''''''''((((((((((((((((((((((((&&&&&&''''''((())))))***((((((((((((((((((((((((&&&'''((((((((((((((((((''''''''''''''''''''''''%%%&&&''''''((((((''''''''''''&&&&&&&&&&&&'''''''''''''''''''''(((((()))&&&&&&'''''''''(((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''((((((((((((&&&&&&&&&''''''''''''(((''''''&&&&&&&&&&&&''''''((((((''''''''''''((((((%%%...333...'''&&&((('''''''''((((((((((((''''''''''''''''''''''''''''''&&&'''((())))))((('''&&&%%%&&&'''''''''''')))+++(((((())))))))))))((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((()))''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&'''''''''((((((%%%&&&&&&'''((((((''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$######$$$%%%'''%%%###"""###%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$&&&%%%$$$#########%%%&&&$$$$$$############$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&###$$$$$$$$$$$$$$$$$$###%%%&&&'''''''''***///333555444222///---+++***)))((('''&&&%%%$$$%%%&&&'''%%%$$$###$$$&&&'''&&&%%%&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))++++++++++++++++++++++++++++++++++++++++++++++++))))))******++++++++++++))))))***+++,,,,,,------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,,,,++++++************)))***++++++,,,++++++++++++++++++++++++'''(((***+++,,,,,,,,,+++++++++++++++++++++++++++************************---,,,,,,++++++,,,,,,---+++*********+++,,,,,,---++++++++++++++++++++++++)))************+++++++++)))+++------+++)))((()))'''(((***+++,,,,,,++++++))))))))))))))))))))))))(((((())))))*********+++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))''''''''''''((((((((()))&&&'''''''''(((((())))))))))))(((((('''''''''&&&((((((((((((((((((((((((&&&&&&&&&'''((())))))***))))))))))))))))))))))))&&&&&&'''((()))))))))(((((((((((((((((((((((((((%%%&&&''''''(((((('''''''''''''''&&&&&&''''''''''''''''''''''''((())))))&&&&&&&&&&&&'''''''''(((''''''''''''''''''''''''(((((((((((((((((((((((('''''''''&&&&&&'''''''''&&&''''''''''''''''''&&&'''''''''&&&&&&'''''''''''''''''''''((((((((()))&&&&&&&&&'''''''''((((((&&&%%%%%%$$$$$$%%%%%%&&&((((((''''''''''''((((((%%%///555...&&&&&&((((((''''''((((((((((((''''''''''''''''''''''''''''''&&&'''((())))))((('''&&&%%%&&&'''''''''''')))+++(((((())))))))))))((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((())))))''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%&&&&&&&&&'''''''''((((((%%%%%%&&&'''((((((((('''%%%%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$######$$$&&&'''&&&###!!!###%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$### """###$$$%%%%%%&&&######""""""""""""############$$$$$$$$$%%%%%%%%%########################$$$$$$######$$$$$$%%%&&&$$$$$$$$$%%%%%%$$$$$$$$$!!!###$$$$$$&&&***111777)))'''$$$"""!!!###&&&'''&&&%%%$$$$$$%%%&&&((()))%%%$$$###$$$&&&'''&&&%%%''''''''''''''''''---,,,***)))))))))******++++++++++++++++++++++++************************000,,,&&&111---&&&111)))++++++++++++++++++++++++*********)))******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,......---,,,,,,+++******,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,+++******+++,,,,,,,,,,,,---......---+++*********+++++++++++++++++++++++++++++++++*********))))))((((((++++++************++++++******************************++++++++++++******'''((()))***************************************************************+++*********))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((()))******+++******)))(((''''''&&&(((((((((((((((((((((((())))))(((((((((((())))))))))))(((((('''''''''&&&))))))((('''&&&&&&%%%%%%%%%&&&''''''((((((''''''&&&&&&''''''(((((())))))******))))))((((((''''''))))))(((((('''''''''&&&&&&'''((())))))((('''&&&$$$%%%&&&&&&''''''&&&&&&''''''((((((((('''%%%$$$''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((''''''((((((((((((''''''&&&&&&&&&'''''''''((((((((('''&&&'''''''''&&&%%%+++222333+++&&&''')))(((''''''''''''((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''((((((((())))))))))))))))))(((((('''&&&&&&&&&'''''''''((((((''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''$$$$$$%%%&&&&&&''''''((($$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(((******'''%%%''''''''''''''''''''''''&&&&&&''''''&&&&&&%%%$$$'''&&&%%%%%%''''''&&&%%%###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""############$$$$$$$$$$$$$$$$$$$$$$$$(((&&&%%%###""""""######$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&&&&$$$$$$###"""%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%---,,,***)))))))))***+++++++++++++++++++++++++++++++++++++++++++++++++++(((///&&&***,,,'''000,,,++++++++++++++++++++++++***************++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,......------,,,++++++***,,,,,,,,,,,,,,,,,,,,,,,,---------------,,,+++***+++,,,------,,,+++,,,......---,,,*********+++,,,++++++++++++++++++++++++++++++******))))))))))))++++++************++++++******************************++++++++++++******)))******++++++++++++***************************************************************)))))))))((())))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((()))***************)))((('''''''''(((((((((((((((((((((((())))))(((((((((((()))))))))((((((((('''''''''''')))(((((('''&&&&&&%%%%%%%%%&&&''''''(((((('''''''''''''''((((((((((((((())))))))))))(((((('''''')))(((((((((''''''''''''&&&'''((())))))((('''&&&%%%%%%&&&&&&''''''&&&&&&)))((('''&&&%%%&&&&&&'''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((''''''((((((((((((''''''&&&&&&&&&'''''''''((((((((('''&&&&&&''''''&&&&&&...111000***&&&((()))'''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''((((((((()))))))))))))))))))))(((((('''&&&&&&&&&'''''''''(((((((((''''''&&&&&&''''''((((((''''''&&&&&&''''''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%'''((('''$$$###%%%'''''''''''''''''''''''''''&&&&&&''''''&&&&&&%%%$$$'''&&&%%%%%%''''''&&&%%%$$$$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%############$$$$$$$$$%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&,,,,,,+++************+++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,333GGG666,,,000(((******++++++++++++,,,,,,,,,,,,***************+++,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,......------,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,+++,,,---...---,,,+++,,,---------,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++************)))++++++************++++++++++++++++++++++++++++++******++++++++++++******+++,,,,,,,,,,,,++++++***************************************************************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((()))************))))))((((((''''''(((((((((((((((((((((((()))((((((''''''(((((()))((((((((((((''''''''''''((((((((('''&&&&&&%%%%%%%%%&&&''''''((((((''''''(((((((((((((((''''''''')))))))))(((((((((((('''((((((((((((''''''''''''''''''((((((((((((''''''%%%%%%%%%&&&&&&&&&''''''***)))&&&$$$$$$%%%''')))''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((''''''((((((((((((''''''&&&&&&'''''''''(((((((((&&&&&&&&&&&&&&&&&&''''''111000,,,''''''******'''''''''''''''(((((((((((())))))))))))))))))))))))((((((((((((((((((((((((''''''((((((((()))))))))))))))******))))))((('''&&&&&&'''''''''((((((((((((''''''&&&&&&''''''((((((''''''&&&&&&''''''(((''''''''''''''''''''''''(((((('''&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&(((***&&& $$$)))''''''''''''''''''''''''&&&''''''''''''&&&%%%%%%'''&&&%%%%%%''''''&&&%%%$$$$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$######$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&'''((()))(((++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,999VVV???---222)))&&&)))+++++++++,,,,,,,,,,,,,,,+++************+++,,,,,,,,,,,,,,,---------------------------------------......------,,,,,,,,,,,,------------------------,,,---------------,,,,,,---...///...,,,++++++,,,---------,,,,,,,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,++++++******++++++,,,++++++++++++++++++++++++***++++++,,,,,,++++++***,,,,,,,,,,,,+++***))))))*********************************************************)))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))******)))))))))((((((((('''(((((((((((((((((((((((((((((((((''''''(((((((((((((((((((((((('''''''''(((((('''''''''&&&&&&&&&%%%&&&''''''((('''''''''))))))((((((''''''&&&&&&(((((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((((((((('''%%%%%%%%%%%%&&&&&&'''''')))(((&&&%%%%%%&&&'''(((''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((''''''((((((((((((''''''''''''''''''((((((((((((%%%&&&&&&%%%%%%&&&((()))444///(((%%%(((+++***'''''''''''''''(((((((((((())))))))))))))))))))))))(((((((((((((((((((((((('''(((((((((((())))))))))))************)))((((((''''''''''''((((((((((((((((((''''''''''''((((((((((((''''''''''''((((((''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%''')))&&&###"""&&&)))'''''''''''''''''''''''''''''''''''''''&&&&&&%%%'''&&&%%%%%%''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$&&&(((******)))+++++++++,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++++++++'''FFF333%%%///******...++++++,,,,,,,,,---------+++++++++***+++,,,,,,---,,,,,,,,,------.........------------------------......------------,,,,,,------------------------,,,------......------------...///...,,,+++,,,---------------...---------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++***+++++++++***)))((((((************************************************))))))))))))))))))******((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))***))))))))))))((((((((((((((((((((((((((((((((((((((((((''''''''''''(((((('''''''''((((((((((((((('''''''''''''''&&&&&&&&&%%%&&&''''''((('''''''''))))))((((((''''''&&&&&&'''''''''''''''((((((((('''''''''((((((((((((((((((((((((''''''(((((((((&&&&&&%%%%%%%%%&&&'''(((&&&&&&'''''''''''''''&&&''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((((())))))''''''(((((((((((('''''''''''''''((((((((())))))%%%&&&'''&&&%%%&&&))),,,555---&&&%%%)))+++)))'''''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))(((((((((((()))))))))******************))))))((('''''''''((((((((())))))(((((((((''''''((((((((((((((((((''''''(((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&(((******)))(((((((((((((((((((((((((((''''''((((((''''''&&&%%%'''&&&%%%%%%''''''&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&###$$$$$$%%%%%%&&&&&&'''######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''$$$&&&(((******)))***+++,,,,,,---,,,,,,,,,++++++++++++++++++++++++************************ 666***%%%...***---...++++++,,,,,,------......+++++++++++++++,,,------,,,,,,,,,---......//////------------------------......------------------------------------------,,,------............------...///...---,,,---...,,,---.../////////......,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,,,,---------,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,++++++))))))*********)))((((((************************************************))))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((()))******))))))))))))(((((((((((((((((((((((((((((((((((((((''''''&&&&&&''''''((('''''''''(((((((((((((((''''''''''''''''''''''''%%%&&&''''''((((((''''''((((((((((((((('''''''''&&&''''''''''''((((((((('''''''''(((((((((((((((((((((''''''''''''((((((&&&&&&%%%$$$%%%&&&'''((($$$&&&'''((()))((('''&&&''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((((()))))))))''''''((((((((((((''''''''''''((((((((()))))))))%%%'''((('''%%%'''+++///333+++&&&'''***)))((((((''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))((((((((()))))))))************++++++******)))(((''''''((((((((())))))))))))((((((''''''(((((())))))((((((''''''(((((()))''''''''''''''''''''''''$$$$$$%%%%%%&&&'''((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%))),,,---+++((((((((((((((((((((((((((('''(((((((((((('''&&&&&&'''&&&%%%%%%''''''&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%"""######$$$%%%&&&&&&'''$$$%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''%%%&&&'''((()))(((***+++,,,---------,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++)))111)))...///)))///***++++++,,,,,,---......///,,,++++++++++++,,,------,,,,,,------.../////////........................------..........................................,,,,,,---...............,,,---......------...///,,,---...///000//////...------------------------,,,,,,,,,,,,---------...---,,,,,,++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,+++))))))***+++++++++******************************************************((()))))))))************))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((()))******(((((((((((())))))))))))(((((((((((((((((((((((((((''''''&&&&&&''''''(((''''''''''''((((((((()))''''''''''''''''''''''''%%%&&&''''''(((((('''''''''''''''(((((((((((((((&&&&&&&&&'''''''''((((((''''''''''''((((((((())))))((('''&&&&&&'''((()))'''&&&%%%$$$$$$&&&''')))&&&&&&&&&&&&''''''((((((''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((((())))))))))))''''''(((((((((((('''''''''((((((((())))))))))))&&&((()))(((&&&(((---222111***''')))+++((('''(((''''''''''''(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))(((((()))))))))************++++++++++++***))))))'''((((((((())))))))))))))))))(((((((((((())))))))))))(((((((((((())))))''''''''''''''''''''''''%%%&&&&&&&&&&&&&&&&&&&&&((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$&&&'''(((((())))))***((((((((((((((((((((((((((((((((((((((('''&&&&&&'''&&&%%%%%%''''''&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&!!!"""###$$$%%%&&&''''''$$$$$$%%%%%%&&&''''''(((%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&)))***,,,---...---,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++)))%%%333000)))111(((++++++,,,,,,---...//////,,,,,,++++++,,,,,,---...,,,,,,------...///000000........................------..........................................,,,,,,---.../////////...+++---......------///000,,,---///000000000///...------------------------,,,,,,,,,------.........---,,,,,,++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,+++)))***+++,,,,,,,,,,,,,,,************************************************(((((())))))*********+++))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((()))******(((((((((((())))))))))))(((((((((((((((((((((((('''''''''&&&&&&'''''''''&&&'''''''''(((((())))))&&&'''''''''''''''''''''%%%&&&''''''((((((''''''&&&'''''''''(((((())))))&&&&&&&&&'''''''''((((((&&&'''''''''(((((()))))))))((('''&&&&&&'''((()))'''&&&%%%$$$$$$&&&''')))((('''%%%$$$$$$&&&)))+++'''''''''&&&&&&'''''''''''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))''''''((((((((((((''''''(((((((((((())))))))))))&&&)))***)))'''(((...444///)))(((++++++'''&&&)))''''''''''''((((((((()))************************))))))))))))))))))))))))))))))))))))***************++++++++++++***))))))(((((((((((())))))))))))))))))(((((((((((())))))))))))(((((((((((())))))''''''''''''''''''''''''(((''''''&&&&&&%%%%%%$$$(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%(((***'''###"""''',,,))))))))))))))))))))))))(((((((((((((((''''''&&&'''&&&%%%%%%''''''&&&%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''''''''&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''!!!!!!"""$$$%%%&&&''''''$$$$$$%%%%%%&&&'''((((((%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,------------------------.........---------------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---///000000000000000///......//////...---...///000///...---...///000000000//////......---///...............//////////////////////////////------------............////////////////////////........................---------.........//////......---,,,,,,,,,------------,,,,,,+++***))))))+++++++++++++++++++++++++++++++++*********))))))++++++++++++++++++++++++************************************************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((()))))))))))))))(((''''''(((((())))))))))))((((((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&***)))((((((((((((((()))''''''(((((((((((('''''')))((('''&&&&&&'''((()))'''''''''''''''((())))))))))))(((((('''''''''&&&''''''''''''''''''''''''))))))))))))))))))))))))******)))((((((((((((((())))))))))))))))))))))))''''''((((((((((((''''''&&&''''''(((((((((((((((''''''''''''((((((((()))))))))((('''''''''''''''))))))))))))))))))))))))$$$'''******)))(((''''''$$$'''***'''$$$&&&---555))))))))))))(((((((((((()))((((((((()))***++++++))))))***++++++++++++************)))))))))))))))((((((%%%###$$$'''(((&&&)))******+++---...+++'''************************++++++******))))))(((((('''''''''(((((((((((((((***)))(((''''''((()))***(((((())))))))))))((((((((('''&&&%%%$$$%%%&&&&&&%%%%%%%%%&&&&&&&&&'''''')))))))))((('''''''''&&&&&&&&&&&&'''''')))******)))))))))))))))))))))))))))((('''&&&%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&'''((()))***++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,------------------------,,,,,,,,,------------...---.........////////////,,,,,,---...///////////////...------...///...,,,///000111000...---...///------------............000/////////000111111222000000000000111111111111000000000///////////////........................////////////////////////---------....../////////...------------...//////------,,,,,,++++++******++++++++++++++++++++++++---,,,,,,,,,+++++++++***,,,,,,,,,,,,,,,,,,,,,,,,************************************************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((()))*********))))))((('''(((((())))))))))))((((((((((((((((((((((((((((((&&&''''''((((((''''''&&&(((((((((((())))))))))))''''''((((((((((((''''''***)))(((((((((((()))***'''''''''''''''((()))))))))(((((((((''''''''''''''''''''''''''''''''''''))))))))))))))))))))))))******)))((((((((((((((())))))))))))))))))))))))''''''((((((((((((''''''&&&'''(((((())))))(((((('''''''''((((((((())))))))))))((('''''''''''''''************************&&&(((++++++***((((((((()))+++,,,+++)))+++111777+++************)))))))))(((((((((((((((((())))))'''(((((()))))))))((((((******))))))((((((''''''((()))))))))***,,,,,,+++,,,---,,,***))))))******))))))))))))*********************)))))))))))))))))))))))))))))))))))))))***)))(((''''''((()))***(((((())))))))))))((((((((('''&&&%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&''''''((()))***)))))))))))))))))))))))))))((('''&&&%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%&&&&&&'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,------,,,,,,------.../////////------......//////000000...//////000000000//////222111000111222333222111222333444333222111111333//////000000111222222222---------...///000111222......//////000000111111000000//////////////////////////////////////////000000000000000000000000............////////////------------...///000000,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,************************************************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))*********+++******)))((())))))))))))))))))))))))((((((((((((((((((((((((&&&''''''((((((''''''&&&&&&'''((()))******))))))'''(((((())))))(((((('''******))))))))))))******'''''''''''''''((())))))((((((((((((''''''''''''''''''''''''''''''''''''))))))))))))))))))))))))******)))((((((((((((((())))))))))))))))))))))))'''(((((())))))(((((('''&&&'''(((((())))))((((((''''''((((((((()))))))))))))))((('''''''''((((((++++++++++++++++++++++++''')))++++++***)))((()))******))))))+++---111333++++++++++++************++++++,,,,,,,,,+++***************++++++******)))++++++++++++,,,,,,,,,,,,******+++---------,,,,,,***,,,...---+++***+++---************++++++,,,,,,(((((())))))))))))))))))************************))))))(((((((((((())))))(((((())))))))))))((((((((('''&&&&&&%%%%%%&&&&&&%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&''''''''''''&&&''''''((()))***))))))))))))))))))))))))(((((('''&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,------------,,,,,,,,,,,,------------/////////////////////////////////////////////000111111222222222222111111222111000111333444444333222333444444222111222444222222222222222222333333.........///000111222222111111111111000000000000000000000111111111111111222222222111111111111111////////////////////////////////////////////////......---------......///,,,,,,,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,,,,,,,,,,++++++++++++++++++++++++************************************************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))******+++++++++******)))***))))))))))))))))))***((((((((((((((((((((((((''''''((((((((((((''''''$$$&&&(((***++++++))))))(((((())))))))))))(((((())))))))))))))))))))))))'''''''''''''''((())))))((((((((((((((('''''''''''''''''''''''''''''''''((((((((((((((((((((((((***))))))((((((((((((((((((((((((((((((((((((((((((((())))))))))))((((((''''''((()))))))))))))))'''(((((((((((()))))))))))))))((((((((((((((()))++++++++++++++++++++++++''')))++++++***))))))***+++((('''(((,,,///000///++++++*********************+++,,,---------,,,+++++++++,,,,,,,,,,,,++++++******+++,,,---...//////,,,++++++,,,+++)))***---000......000111...,,,---++++++,,,,,,,,,---------((((((((())))))*********++++++++++++************))))))(((((((((((())))))(((((())))))))))))(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''(((((())))))******'''''''''''''''((())))))((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&''''''''')))))))))((((((''',,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,---------.........,,,,,,,,,------........./////////......---------111111111111111000000000000111222333333444333333222111000222444555555444333555666666555555666888777666666555444333333222555444444444444444444555777666555555444333222222222222222333333444444444222222222222111111000000////////////////////////000000000000000000000000//////...---,,,,,,------------------------......,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,,,,,,,++++++++++++++++++++++++************************************************))))))))))))))))))))))))************************)))))))))))))))))))))))))))))))))))))))))))))))))))******+++++++++************))))))))))))******))))))))))))))))))))))))'''(((((((((((((((((('''$$$&&&(((***++++++))))))(((((())))))))))))(((((((((((((((((((((((((((((('''''''''''''''((())))))'''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((***))))))((((((((((((((((((((((((((((((((((((((((((((())))))))))))(((((('''(((((()))))))))))))))(((((((((((()))))))))***))))))((((((((())))))***************************''')))++++++++++++,,,------***)))+++000222111...++++++,,,,,,,,,---------******,,,---............------...///////////////..................------///+++***++++++***000999NNN>>>000...000...***))),,,,,,,,,,,,,,,,,,,,,,,,(((((())))))******+++++++++++++++******)))))))))(((((())))))))))))(((((((((((())))))))))))(((((('''(((((('''''''''&&&&&&&&&&&&&&&'''''''''(((((('''(((((())))))*********(((''''''''''''(((((()))(((((((((((((((((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''))))))(((((('''''',,,,,,,,,,,,,,,,,,,,,,,,---------------------------------.........//////---------...//////000000///.........------------//////000000111111222222444555777999;;;<<<======@@@??????@@@CCCEEEEEEDDDDDDEEEGGGHHHHHHHHHJJJLLLIIIIIIHHHGGGEEEDDDCCCBBB???>>><<<;;;:::999888888::::::999888777666555555333333333333222222222222222222222111000000//////000000000000000000000000111111111111000000000000000///......------..............................,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,++++++++++++++++++++++++************************************************))))))))))))))))))))))))************************))))))))))))))))))))))))))))))))))))))))))))))))((()))******+++*********+++***)))(((((()))***+++))))))))))))))))))))))))'''(((((())))))(((((('''&&&'''((()))******))))))((())))))******))))))(((''''''(((((((((((('''''''''''''''''''''((())))))'''''''''((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))******)))((((((((((((((())))))))))))))))))))))))((())))))******))))))((('''((())))))******))))))((((((((()))))))))******))))))((((((((()))******************************(((***,,,------...000222---++++++...111333111...111111222333555666777777666666666666777888999:::888888:::;;;<<<=========???>>><<<:::777555333222333...---111222333===JJJlllPPP666------,,,******------,,,,,,++++++************++++++++++++++++++,,,,,,+++******)))))))))(((((())))))))))))(((((((((((())))))))))))(((((('''(((((((((((('''&&&&&&&&&&&&'''''''''(((((((((''''''''''''''''''((((((((((((''''''''''''(((((())))))))))))))))))))))))''''''((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&(((((((((''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&%%%%%%------------------------........................---.........////////////......//////000111111222000000111111222333444444444555777999;;;>>>@@@AAAEEEFFFIIILLLOOORRRSSSTTTVVVUUUUUUWWWZZZ\\\\\\[[[XXXZZZ]]]^^^___aaaccceeebbbbbbaaa```______^^^^^^UUUSSSQQQNNNKKKIIIHHHGGGEEEEEEEEEEEEEEEEEEEEEEEE@@@???===;;;999777555555555555444444333222222222333333333333333333333333222222222111111000000000////////////000111222333000000//////......------------------------------,,,,,,,,,,,,---------...------------------------************************************************))))))))))))))))))))))))************************))))))))))))))))))))))))(((((((((((((((((((((((('''((())))))*********))),,,+++)))(((((()))+++,,,))))))))))))))))))))))))(((((())))))))))))(((((((((((((((((())))))))))))))))))************))))))'''((())))))))))))(((''''''''''''''''''((())))))''''''''''''((((((((()))(((((((((((((((((((((((())))))))))))))))))))))))******)))((((((((((((((())))))))))))))))))))))))))))))************))))))(((((()))************)))(((((()))))))))*********))))))(((((()))******+++++++++++++++++++++++++++***,,,...000111333666999333333555777999999888666;;;<<<===???AAACCCEEEEEEEEEDDDBBB@@@???@@@BBBCCCAAACCCDDDFFFHHHIIIJJJJJJJJJIIIGGGEEEBBB@@@>>>===;;;666777;;;;;;:::DDDQQQhhhOOO:::666888555333555333333222111///...---,,,------,,,,,,,,,,,,,,,,,,---------,,,+++*********'''((()))******)))((('''(((((())))))))))))(((((('''(((((()))((('''&&&%%%''''''''''''((((((((((((((((((((('''''''''''''''((((((''''''''''''(((((())))))))))))))))))))))))&&&'''((((((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!"""$$$&&&''''''&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%------------------------..................................../////////000...//////000111222222333333333555777999;;;<<<===AAACCCFFFJJJNNNRRRUUUVVVVVVXXX\\\```dddgggiiijjjcccbbbbbbdddgggiiijjjiiiaaadddggghhhjjjllloooqqqooooooooooooooonnnnnnnnnooommmjjjfffbbb___]]]\\\VVVWWWWWWXXXZZZ[[[\\\\\\SSSRRROOOLLLHHHDDDBBB@@@:::999999888777666666666555555555555555555555555222222222222111111000000......///111333555777888111111000///...------,,,---------------------------------.........//////////////////////////////************************************************))))))))))))))))))))))))************************))))))))))))))))))))))))((((((((((((((((((((((((''''''((())))))))))))))),,,+++)))(((((()))+++,,,))))))))))))))))))))))))(((((())))))))))))((((((***)))((((((((((((((()))))))))************))))))((()))***++++++***)))((('''''''''''''''((())))))&&&'''''''''(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))******)))((((((((((((((())))))))))))))))))))))))))))))************))))))(((((()))***************))))))))))))************))))))((())))))***++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,...111333444777;;;===???AAACCCEEEFFFEEEEEEDDDCCCDDDFFFHHHKKKMMMOOOPPPKKKHHHDDD@@@??????AAABBBAAABBBDDDGGGIIIKKKLLLLLLGGGFFFFFFEEEDDDCCCCCCBBBBBB>>>>>>CCCAAA<<>>@@@;;;:::999777555333222111.........------,,,,,,,,,//////...---,,,,,,++++++'''((()))******)))((('''(((((())))))))))))(((((('''((()))))))))(((&&&%%%''''''''''''((((((((()))++++++******))))))(((((()))(((((('''''''''(((((())))))))))))))))))))))))&&&'''((((((((('''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!###%%%&&&%%%$$$###%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''---,,,,,,,,,------...///------,,,,,,---...000111......///111222111///,,,555333111111333555777777;;;===???CCCGGGLLLOOOQQQVVVZZZ___aaa```^^^\\\[[[VVV[[[___aaaeeekkkllljjjhhhhhhgggeeedddeeeiiimmmbbb]]]VVVTTTYYYcccmmmrrrooopppsssuuuvvvvvvwwwwwwwwwvvvsssooolllkkklllnnnjjjfffeeeeeebbb___ccckkkbbbcccccc```\\\UUUNNNJJJEEECCCAAA??????>>><<<::::::777444666999999666222666666555555444333333333333111///...000444999<<<111000///------....../////////.........---------------------------------...------,,,,,,------...++++++++++++++++++++++++,,,***)))***++++++***)))++++++++++++******))))))+++++++++++++++++++++++++++*********))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))...,,,***)))((((((***+++******))))))((((((''''''))))))))))))))))))))))))))))))))))))))))))))))))++++++******))))))(((((((((((((((((())))))))))))))))))))))))(((((((((((()))***+++***)))((((((***,,,,,,+++***)))(((''''''******)))((((((((((((((())))))))))))(((((((((((())))))))))))((((((((((((*********)))))))))))))))&&&'''((((((((('''&&&%%%+++,,,,,,+++)))((()))+++(((((()))***++++++++++++---,,,++++++,,,...111333444666999===AAADDDFFFGGGHHHHHHKKKMMMIIIBBB>>>??????AAABBBBBBBBBBBBCCCEEEBBBAAA@@@BBBDDDGGGHHHHHHGGGCCCCCCGGGIIIGGGGGGIIIHHHJJJHHHEEEEEEFFFDDD???CCCDDDEEEEEEDDDCCCCCCCCCGGGHHHHHHGGGFFFFFFHHHJJJHHHFFFDDDBBBAAA>>>:::666333111000///000000...,,,//////...---,,,,,,,,,,,,,,,,,,,,,,,,---------...***************+++++++++(((((())))))))))))((((((((((((''''''''''''(((((()))555999...%%%''')))'''''''''''''''((((((((()))))))))(((((((((((())))))!!!$$$'''+++,,,+++)))''')))(((&&&%%%%%%&&&((()))(((''''''''''''&&&&&&&&&###$$$$$$%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%$$$$$$###%%%%%%$$$###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!"""###$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$%%%&&&'''(((&&&&&&&&&''''''''''''((((((((())))))******......---------...//////,,,---...////////////...111111000111222444444444111111222666:::???CCCEEESSSTTTUUUXXX[[[___bbbcccnnnmmmjjjccc[[[TTTQQQOOOQQQWWW\\\```fffooosssrrroooqqqssssssqqqnnnjjjhhhccc\\\SSSMMMNNNTTT[[[___qqqsssvvvxxxyyyzzz{{{{{{wwwvvvssspppllllllnnnqqqnnnjjjiiiiiifffcccgggnnneeeeeeeeedddcccaaa```___YYYVVVRRROOOKKKGGGAAA>>>???;;;666555777888666333666555555444333333222222888777555333333555777999111000///.........////////////.........---------------------------------...------,,,,,,------...++++++++++++++++++++++++,,,+++******,,,,,,+++***++++++++++++*********)))++++++++++++++++++++++++************)))))))))((()))))))))))))))))))))))))))))))))))))))))))))))),,,+++)))((((((***+++,,,***)))))))))((((((((('''))))))))))))))))))))))))))))))))))))))))))))))))*********)))))))))))))))***************)))))))))))))))))))))(((((((((((()))***+++***((((((((()))+++******))))))(((((('''******)))((((((((((((((()))))))))))))))))))))((()))))))))))))))))))))(((************))))))))))))'''((()))*********)))(((''')))+++,,,*********+++,,,+++******+++,,,...///...//////111333666888999FFFFFFGGGGGGHHHHHHGGGGGGFFFDDDCCCDDDAAA>>>???CCC:::<<<>>>@@@AAABBBEEEGGGHHHGGGHHHIIIJJJKKKKKKKKKLLLIIIHHHKKKKKKHHHGGGIIIDDDHHHIIIGGGFFFHHHIIIGGGAAADDDFFFFFFEEEDDDFFFHHHFFFHHHIIIJJJKKKKKKLLLMMMOOONNNLLLIIIFFFCCC???===BBB@@@===;;;999777444222111111///...,,,++++++++++++++++++++++++,,,,,,,,,************************(((((())))))))))))((((((((((((''''''''''''(((((('''222444+++%%%''')))&&&'''''''''((((((((())))))))))))(((((((((((())))))%%%&&&)))******)))'''%%%'''&&&$$$######$$$&&&'''(((''''''''''''&&&&&&&&&$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&'''(((&&&&&&&&&''''''''''''(((''''''((((((((()))000//////.........//////---...000222222111000...111000000111444888===??????AAAEEEKKKQQQVVV[[[]]]eeefffgggiiillloooqqqssssssoooggg]]]UUUPPPOOOPPPYYY]]]___```eeelllpppooottttttuuuuuusssnnnhhhccchhhccc\\\YYYZZZ```eeehhhpppsssvvvxxxyyyyyyzzzzzzzzzzzzxxxuuussssssuuuwwwrrrooolllkkkgggdddfffkkkcccbbbaaaaaabbbdddfffhhhllljjjhhheeebbb^^^XXXTTTQQQLLLEEE@@@???>>>;;;888666666666555555555555555<<<<<<;;;999888777666555111111000////////////000/////////.........------------------------------...------,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,---,,,++++++------,,,+++++++++++++++************++++++++++++++++++++++++************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***,,,---))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************,,,,,,++++++******))))))))))))))))))(((((((((((()))***+++***((('''((()))((((((((((((((((((((((((***))))))((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))************************((()))***+++,,,,,,,,,,,,(((***------,,,+++++++++------,,,---///333888;;;>>>>>>???@@@BBBCCCDDDEEEKKKKKKIIIHHHFFFDDDBBBAAA===<<<>>>AAAAAA???AAAEEEFFFHHHIIIIIIHHHHHHIIIKKKMMMMMMMMMMMMMMMMMMMMMMMMOOOLLLJJJLLLLLLJJJKKKNNNLLLQQQRRRLLLGGGHHHLLLMMMGGGHHHIIIHHHHHHHHHIIIKKKGGGHHHJJJLLLNNNNNNOOOOOOOOOPPPOOOMMMJJJGGGFFFFFFDDDBBB@@@??????>>><<<:::777666444111///...---,,,,,,,,,,,,,,,++++++++++++*********++++++******)))((())))))******))))))((()))((((((''''''(((((()))'''---...(((%%%(((((($$$''''''((((((((()))))))))))))))(((((((((((())))))))))))))))))((('''%%%$$$'''&&&%%%$$$$$$%%%&&&'''(((''''''''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&'''''''''&&&%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&'''(((&&&&&&&&&''''''''''''(((&&&'''''''''''''''000//////............///...///000222222333222222000111444888===CCCIIINNNXXX[[[```dddhhhkkknnnpppnnnooooooppprrrtttvvvwwwvvvsssnnngggcccbbbeeeggggggjjjjjjiiikkkqqqtttsss|||yyyuuurrrqqqpppmmmkkkkkkiiiggghhhkkknnnqqqrrrrrrvvvzzz{{{zzzxxxxxxyyyrrrtttuuutttrrrqqqrrrssskkkiiieeebbb___\\\]]]^^^dddcccbbbaaaaaabbbcccdddkkkkkkmmmppprrrrrrooolllhhhccc]]]WWWRRRMMMHHHDDD:::::::::999999999888888::::::;;;;;;999777555444222222111111000000000000////////////.......................................------,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,---,,,+++,,,.........,,,++++++++++++++++++++++++++++++++++++*********************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((()))***+++,,,))))))))))))(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))(((((())))))******++++++,,,,,,+++******)))(((((())))))))))))(((((((((((((((*********((('''((()))&&&'''''''''((((((((()))))))))(((((((((((()))))))))))))))))))))*********)))))))))))))))*********)))***************++++++)))******+++++++++++++++---...///...------...///000111444777<<>>===:::777444222111000.........---,,,+++++++++***++++++,,,++++++***))))))))))))******)))))))))))))))(((((((((((())))))'''******''''''***)))$$$'''(((((((((((()))))))))))))))(((((((((((())))))+++***)))((('''&&&&&&&&&((((((''''''''''''(((((((((''''''''''''&&&&&&&&&(((''''''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&######$$$%%%%%%&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&''''''''''''(((''''''''''''''''''//////.............../////////...///111444777999888<<>>AAAEEEIIIMMMOOOQQQQQQNNNJJJFFFBBB@@@BBBEEEGGGEEEEEEEEEEEEFFFGGGHHHIIIIIIKKKRRRZZZ[[[WWWUUUWWWVVVWWWXXXWWWUUUTTTUUUVVVPPPRRRTTTUUUWWW]]]ccciiikkkgggeeehhhkkkrrr~~~mmmjjjpppvvv|||tttnnnttt}}}tttjjjddd\\\UUUQQQOOOLLLJJJLLLMMMOOOOOOMMMJJJIIIIIIOOOMMMKKKJJJIIIHHHFFFDDDBBB@@@>>>;;;888666444444000///...---,,,+++***)))+++,,,---------,,,***)))))))))************))))))))))))(((((((((((())))))))))))(((((())),,,***&&&(((((((((((()))))))))***))))))(((((((((((()))))))))(((''''''&&&'''(((((((((((((((((((((((((((((((((''''''''''''&&&&&&&&&((((((''''''&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&######$$$$$$%%%&&&''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&''''''((((((%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((((((///////////////000111111222111111222555;;;@@@DDDIIINNNSSSWWWYYY\\\aaafffbbbhhhpppuuuuuuuuuvvvwwwxxxwwwuuurrrooommmlllkkkfffhhhiiihhhgggfffggghhhmmmpppqqqoooqqqvvvxxxwwwsssuuuwwwvvvsssooommmlllmmmnnnoooqqqrrrqqqmmmjjjhhhnnnsssrrrmmmiiihhhjjjkkknnnqqqrrrpppooonnnnnntttuuurrroooppptttsssppplllooosssuuuvvvssspppmmmhhhiiijjjlllnnnooommmkkkkkkmmmpppqqqooojjjddd```XXXUUUQQQLLLFFF@@@<<<:::666555555444333222111111333333444444333333222111000000000/////////.................................------,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,...///...---++++++++++++,,,,,,,,,,,,+++++++++***))))))(((((())))))))))))************************************))))))))))))))))))))))))+++******))))))(((''''''(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))******************))))))((((((''''''))))))))))))((((((((((((((()))***)))'''&&&'''((('''''''''(((((()))))))))((((((((((((((())))))***((())))))******+++++++++((())))))******+++++++++))))))******+++,,,,,,,,,+++************++++++,,,---///222444999???FFFKKKQQQSSSUUUVVVVVVSSSPPPNNNFFFCCC@@@???AAAEEEJJJMMMMMMLLLLLLKKKLLLMMMNNNOOOLLLJJJLLLOOOQQQQQQUUU[[[{{{zzzxxxsssmmmhhheeeeee___cccjjjooottt{{{uuummmgggccc___[[[\\\[[[YYYXXXUUUPPPIIIDDDGGGFFFFFFFFFHHHIIIHHHGGGCCCBBB@@@===;;;999888888333222111///---,,,******---.../////////---+++))))))******++++++******)))***))))))(((((())))))***))))))))))))++++++***(((((((((((()))))))))******))))))(((((((((((())))))'''''''''''''''((()))***&&&&&&&&&&&&&&&&&&&&&&&&(((''''''''''''&&&&&&&&&((((((((('''&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$$$$%%%%%%###$$$$$$%%%%%%&&&&&&'''######$$$%%%%%%&&&''''''###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&''''''(((((($$$%%%&&&&&&''''''&&&&&&&&&&&&&&&''''''''''''((()))))))))(((((((((000000000111222333444555999:::<<>>;;;;;;;;;333444555555555444333222000000000000////////////////////////////////////...------,,,,,,------...------------------------+++******+++---......---+++++++++,,,,,,---------+++++++++***)))(((((('''(((((())))))*********+++************************))))))))))))))))))))))))&&&'''((()))*********)))'''((((((((())))))******))))))))))))))))))))))))))))))))))))))))))))))))++++++******))))))((((((***************+++++++++))))))))))))((((((((((((''')))))))))'''&&&'''(((************))))))))))))((((((((((((((()))******((())))))***++++++,,,,,,((())))))***++++++,,,,,,))))))***+++,,,,,,------,,,,,,---///111555888:::CCCHHHPPPVVVYYY[[[]]]^^^XXXVVVRRRMMMHHHCCC@@@???@@@BBBGGGMMMRRRVVVYYYZZZWWWUUUTTTSSSSSSUUUWWWXXX\\\```jjjxxxyyyrrrnnniiiddd___ZZZTTTQQQJJJIIIHHHGGGFFFFFFFFFFFFBBBBBB@@@>>>;;;999777666///000222333222000---+++******++++++++++++************))))))))))))******((()))***+++)))&&&''')))))))))))))))************))))))(((((((((((())))))'''(((((((((((((((''''''(((((())))))))))))(((((((((((('''''''''&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''######$$$%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''(((''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%!!!!!!"""###$$$$$$%%%%%%$$$%%%&&&'''''''''&&&%%%&&&&&&&&&'''''''''(((((('''''''''&&&&&&%%%777999===@@@BBBDDDGGGIIINNNMMMMMMRRRYYY___bbbbbb```]]]YYYTTTQQQRRRUUUYYYYYY\\\___``````dddmmmttttttqqqoooooonnnnnnqqqtttqqqnnniiieeeeeehhhmmmpppyyysssxxxrrrjjjeeedddgggjjjllluuuvvvwwwuuusssssstttuuupppqqqpppmmmjjjiiiiiikkkaaa```]]]XXXRRRKKKDDDAAA???;;;666666888999777444555333111000111111111000//////000000///......---000/////////....................................000///---,,,...000...***111000......//////---,,,,,,,,,+++***))))))******++++++************++++++++++++***)))(((((())))))******************************))))))((((((''''''((((((((((((((((((((((((+++++++++*********))))))))))))))))))))))))))))))*********)))))))))))))))++++++******************+++*********))))))((((((###''',,,,,,(((%%%&&&((())))))((((((((((((((()))))))))))))))************++++++***)))(((((()))))))))((('''***---///---+++%%%(((,,,...............***...333999???FFFMMMQQQWWWYYYZZZYYYVVVSSSQQQQQQJJJFFFAAA???@@@CCCFFFGGGJJJKKKQQQXXXWWWPPPOOOSSSRRRaaannnppppppvvv|||}}}}}}yyymmmgggaaa[[[RRRIIIFFFHHHHHHEEEBBBBBBCCCBBB???;;;888666444111...,,,+++++++++,,,,,,+++)))(((((())))))))))))))))))))))))))),,,,,,+++***)))(((''''''))))))))))))))))))))))))((((((((((((((()))******)))((((((((((((((()))***(((((('''&&&&&&&&&&&&'''''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&%%%%%%%%%$$$$$$#########''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%+++***'''%%%$$$%%%&&&&&&&&&&&&&&&''''''''''''(((%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''((((((&&&&&&((((((((('''&&&%%%(((((('''''''''&&&<<<@@@HHHNNNRRRTTTTTTTTTLLLMMMPPPVVV]]]bbbcccbbbWWWVVVTTTQQQOOOPPPSSSVVVRRRZZZdddjjjmmmnnnrrruuuvvvssspppkkkeeecccfffjjjxxxvvvuuutttvvvzzzwwwoooiiihhhiiikkkpppnnnkkkiiijjjlllppprrrwwwxxxyyywwwsssooommmlllmmmlllhhhccc\\\TTTNNNJJJHHHBBB<<<:::999888444000444333111111111000...,,,000000000000000000//////000000/////////.................................000///------...//////---444333222111///...------,,,,,,+++***************++++++************++++++++++++***)))))))))))))))******************************))))))(((((((((((())))))))))))))))))))))))+++++++++*********))))))))))))))))))))))))))))))***)))))))))))))))))))))************************************)))))))))((($$$)))---,,,)))'''(((*********))))))))))))******))))))))))))************++++++***)))))))))))))))+++))))))***,,,,,,***'''(((***,,,,,,,,,+++---......444===FFFMMMRRRUUUWWWSSSSSSRRRNNNJJJGGGGGGGGGGGGGGGGGGHHHKKKOOOTTTVVVWWWTTTRRRQQQMMMKKKSSS]]]sss~~~{{{{{{{{{{{{{{{sssxxxzzzwwwuuuyyy}}}}}}}}}{{{{{{~~~|||rrrggg___^^^aaa]]]UUUJJJCCC@@@???===;;;888888666555333222111000+++,,,------,,,,,,,,,---))))))))))))))))))))))))++++++******))))))(((((())))))))))))))))))))))))((((((((((((((()))******+++***)))((((((((((((((((((((('''&&&&&&&&&&&&'''(((''''''&&&&&&''''''(((%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%***(((&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&'''''''''&&&'''''''''''''''&&&&&&(((((('''''''''&&&KKKQQQZZZbbbfffeeebbb___VVVWWWZZZ^^^``````]]]ZZZSSSTTTVVVVVVUUUVVVWWWYYYaaagggnnnpppooommmllllllnnnrrruuuqqqllllllrrrxxxzzzqqqkkkjjjjjjjjjjjjtttvvvyyyyyyvvvrrrpppoooooonnnmmmjjjgggccc___]]]XXXRRRKKKEEEAAA<<<666222444333222333333222000...000000000000111111111111000000000000////////////........................000///------......000111888999999555///,,,---...,,,++++++************+++++++++************++++++++++++***))))))))))))******************************))))))))))))(((((((((************************+++++++++***************))))))))))))))))))))))))))))))))))))))))))******************************************))))))))))))&&&***------***((()))+++++++++************++++++)))))))))*********++++++++++++***))))))))))))***+++******,,,---,,,***'''+++,,,,,,,,,---///333666>>>CCCLLLTTTXXXYYYVVVUUUIIIIIIHHHEEECCCCCCFFFHHHHHHMMMRRRTTTSSSSSSUUUVVVTTTSSSSSSSSSTTT[[[kkkzzzpppnnnnnnppptttwwwwwwuuutttyyyzzzyyy{{{zzzssskkkgggmmmvvvtttyyy{{{hhhWWWMMMHHHEEEDDD???===;;;888444111...---******+++,,,,,,++++++***************************************************)))))))))))))))))))))))))))(((((((((((()))******,,,+++***)))(((''''''''')))(((''''''&&&&&&''''''(((''''''&&&&&&''''''((($$$%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$%%%&&&'''&&&&&&&&&&&&''''''''''''%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&''''''((('''''''''''''''&&&bbbffflllrrrssspppjjjeeebbbccceeefffgggeeebbb```aaacccfffhhhgggeeeeeeeeerrrrrrpppmmmjjjkkknnnqqqtttzzztttrrrsssttttttrrrrrrssstttooopppppppppooonnnlllkkkiiiddd]]]VVVPPPIIICCC>>>999777555444555666555444000000000000000111111111111111111000000000//////........................000...............333999>>>??????999000+++,,,///,,,++++++******+++++++++++++++************++++++++++++***))))))*********************************))))))))))))))))))))))))++++++++++++++++++++++++************************)))))))))))))))))))))))))))))))))))))))************************+++++++++*********)))))))))))))))'''***,,,,,,***))))))*********)))))))))***++++++))))))*********+++++++++++++++***))))))***************+++---......---+++***,,,...222666===FFFKKKUUUUUUUUUUUUTTTPPPLLLIIIAAACCCEEEHHHJJJNNNRRRVVVSSSXXX\\\ZZZTTTOOOOOOQQQVVV]]]fffnnnttt|||||||||~~~zzzvvvyyy|||xxxssssssxxx~~~yyykkkbbb\\\XXXKKKHHHCCC===888555222111......---------,,,***(((++++++++++++++++++++++++)))))))))******+++++++++))))))))))))))))))))))))))))))(((((())))))***+++++++++***)))((((((((())))))(((((('''''''''''''''((((((''''''''''''((((((%%%%%%&&&&&&&&&&&&%%%%%%''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''%%%%%%&&&&&&&&&'''''''''%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&((('''&&&%%%%%%&&&((()))''''''''''''''''''ttttttuuuwwwxxxvvvqqqlllhhhjjjmmmpppsssuuuvvvwwwuuuvvvxxxwwwsssooolllkkkllllllmmmooottt}}}|||vvvqqqoooppprrrssssssssssssrrrqqqpppppprrrooojjjddd^^^XXXRRROOOFFFAAA;;;777666666555555111000000//////000111111222111111111111000000000////////////////////////000......000//////777BBBCCCDDDBBB;;;111,,,---///,,,+++++++++++++++,,,,,,++++++************+++++++++***************++++++************************))))))))))))************++++++++++++++++++++++++************************))))))))))))))))))))))))(((((())))))************))))))*********+++++++++))))))))))))))))))******((()))******)))((())))))((((((((((((((()))***+++************+++++++++++++++***************++++++***+++,,,,,,,,,,,,,,,---+++///666>>>GGGRRR[[[aaabbb[[[QQQIIIEEECCCAAA@@@FFFIIINNNRRRTTTVVVYYY[[[YYYYYYXXXSSSPPPRRR[[[cccsss}}}{{{ppp||||||xxxaaa\\\UUULLLEEE@@@>>>===666333111000111000...,,,,,,,,,,,,,,,,,,,,,,,,,,,))))))******++++++,,,,,,************************)))))))))))))))***++++++)))))))))))))))***+++,,,))))))(((''''''''''''((((((((((((''''''(((((((((&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&'''%%%%%%%%%&&&&&&&&&&&&'''&&&%%%%%%%%%%%%%%%%%%&&&'''&&&&&&%%%%%%&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&'''&&&%%%%%%%%%'''((()))&&&'''''''''''''''zzzwwwuuuwwwyyy{{{yyyvvvvvvxxx{{{||||||}}}~~~wwwxxxwwwtttoookkkhhhgggkkkpppwww|||sssnnnmmmjjjkkklllmmmoooqqqrrrsssqqqpppnnnjjjfffbbb^^^\\\VVVPPPGGG@@@:::777444222444333111000000000111222222222222222111111111000///////////////////////////---///222000000<<>><<>>;;;666111000111222000///------------------------*********+++++++++,,,,,,***************************))))))))))))***++++++((((((((()))***+++,,,---***)))((((((''''''(((((()))((((((''''''(((((()))&&&''''''((((((''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''&&&%%%%%%%%%&&&((((((&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))&&&&&&&&&'''''''''{{{xxxuuuvvv{{{~~~~~~|||~~~yyywwwvvvooopppqqqqqqpppppprrrtttzzzmmmmmmmmmmmmnnnoooppppppmmmnnnnnnmmmjjjhhhfffeeeaaa]]]VVVNNNHHHAAA;;;777888666444222111222222333333333222222222111111111///////////////////////////,,,///333222222AAATTTMMMIIICCC;;;555000...---+++++++++++++++,,,---...++++++************+++++++++*********++++++,,,---************************))))))*********+++++++++++++++++++++++++++++++++))))))*********+++++++++))))))))))))))))))))))))'''(((((()))******++++++((())))))***++++++,,,,,,((()))))))))************+++***))))))************(((((((((((()))***+++,,,*********+++++++++,,,,,,+++*********++++++,,,------.........///333999>>>FFFNNNXXXaaaeeeeeecccbbbRRRJJJ???;;;???FFFLLLOOO\\\\\\\\\YYYTTTQQQPPPPPPSSSYYYcccppp~~~{{{nnnjjjkkkmmmqqquuuwwwwwwzzzsssdddVVVNNNIIIBBB999444333333111...------------------------++++++++++++++++++++++++******************************))))))******+++,,,))))))))))))***+++,,,,,,***))))))((((((((((((((())))))(((((((((((())))))%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''&&&%%%%%%%%%&&&((()))&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&'''''''''$$$%%%&&&'''((((((((((((&&&&&&&&&'''''''''}}}yyyvvvxxx}}}~~~|||www||||||wwwsssqqqmmmpppssswww|||~~~xxxrrrmmmjjjhhhlllmmmooonnnmmmkkkjjjjjjfffccc```[[[VVVNNNFFF@@@;;;999777444333333444444333333333222222222111111000000000000000000000000...,,,///444333444DDDYYYOOOIIIBBB;;;666222...,,,++++++++++++,,,,,,---...++++++************+++++++++*********+++,,,,,,---************************))))))******++++++++++++************************))))))******++++++++++++))))))))))))))))))))))))'''(((((()))***+++++++++((())))))***++++++,,,,,,(((((())))))*********+++---+++******+++,,,,,,+++))))))))))))***+++,,,---******+++++++++,,,,,,,,,+++*********+++,,,,,,---,,,...000222666===HHHOOOTTT\\\eeekkkjjjccc[[[VVVJJJDDD>>>>>>FFFOOOUUUWWW[[[ZZZXXXUUURRRQQQSSSTTTbbbqqq{{{|||}}}wwwvvvyyyqqqnnngggeeeeeekkkvvv{{{ttt___UUUHHH???;;;888555111........................++++++++++++++++++++++++*********************************)))******+++,,,++++++************************)))((((((((((((((())))))(((((((((((())))))$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''(((((('''&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''((('''%%%%%%%%%''')))***&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''((((((###$$$&&&((())))))((('''&&&&&&&&&'''''''''}}}yyyzzz}}}~~~{{{xxx{{{xxxvvvvvvsssooopppttt{{{}}}qqqmmmkkkllloooppplllhhhjjjiiihhhfffbbb]]]WWWTTTKKKCCC:::666555666333111222333444444444333222111333333222111000//////...............///777KKK]]]VVVQQQJJJBBB;;;555///---000///...---,,,+++++++++************************+++***)))***++++++***)))************************))))))))))))))))))))))))+++++++++*********))))))))))))))))))))))))))))))))))))))))))************(((((()))***+++,,,,,,,,,,,,***))))))***++++++************)))))))))))))))++++++++++++******)))))))))************+++++++++***)))))))))))))))***+++)))((((((+++///000...+++...444<<>>666777111...000///+++,,,222,,,,,,+++***((('''((()))))))))))))))))))))))))))))))))******++++++,,,,,,))))))************))))))+++***)))''''''(((((()))''''''''''''((((((((()))'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$$$$$$$$$$&&&''''''''''''(((((((((((()))%%%%%%%%%&&&&&&''''''''')))))))))(((''''''&&&&&&$$$%%%%%%&&&&&&''''''((((((((('''''''''&&&&&&&&&''''''&&&%%%&&&'''~~~zzzwwwwwwyyyzzzyyyvvvrrrpppqqquuuyyy~~~xxxnnnkkkkkkkkkkkkhhhjjjmmmooooookkkfffbbbVVVOOOFFFAAA???===999555333444555555555444333222222222222222111000///////////////111333===QQQddd]]]UUUKKKFFFEEEBBB:::333//////...---,,,,,,,,,,,,************************+++***)))***++++++***)))************************************************+++++++++*********))))))))))))))))))))))))))))))))))))))))))************)))))))))***+++++++++,,,,,,***))))))***++++++***************))))))))))))++++++++++++*********)))************++++++++++++)))*********++++++,,,,,,...,,,)))***---000222111888@@@KKKSSSWWWZZZ^^^aaaWWWZZZXXXQQQLLLNNNOOOMMMRRRSSSVVV[[[^^^]]]YYYUUUXXXcccsss|||{{{{{{rrrssssssrrruuu~~~}}}nnnZZZLLLCCC:::444555444000,,,,,,------...---,,,,,,------************************))))))******************))))))************))))))******((('''''''''((()))'''''''''((((((((())))))'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''(((((((((%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&''''''&&&&&&&&&'''wwwzzz~~~zzzqqqjjjmmmooowww{{{ssspppnnnnnnllllllnnnpppqqqnnniiieeeaaa[[[TTTNNNJJJFFF@@@<<<777888777777666555333222000111111222222111000000///...///111555@@@TTTgggbbbVVVKKKIIINNNNNNCCC888///...------,,,,,,,,,,,,+++++++++++++++++++++++++++***)))***++++++***)))************************************************+++++++++***************))))))))))))))))))))))))))))))))))))******************************++++++,,,***))))))***++++++***************************++++++++++++************************+++++++++,,,******+++,,,------,,,,,,000---)))***...444:::<<>>GGGPPPXXX\\\eeefffeee___VVVNNNJJJIIILLLPPPVVV\\\^^^\\\ZZZZZZZZZWWWUUUVVV^^^jjjvvv}}}yyytttmmmnnnsss{{{nnnZZZIII===555000222000------///000///...++++++++++++++++++++++++++++++******))))))((((((******++++++++++++******)))))))))))))))((((((((((((((((((((()))))))))***(((''''''&&&&&&''''''((((((''''''&&&&&&''''''(((&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%'''(((((('''%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&&&&&&&&&&''''''(((((((((&&&''''''''''''''''''''''''''''''(((((((((nnnxxxxxxnnniiifffdddhhhiiiiiiiiigggdddaaa___YYYVVVQQQKKKDDD???;;;999;;;999666333111111222222444111///000111555???KKKIIIHHHFFFCCC@@@<<<999666...------,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,+++***)))***++++++***)))************************++++++++++++++++++++++++***************+++++++++************************))))))))))))******************************++++++,,,***))))))***++++++***))))))******+++,,,,,,,,,++++++++++++,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,......------------......444;;;EEEPPPXXX]]]aaadddbbbbbb```YYYRRRMMMLLLMMMRRRVVV]]]bbb```ZZZYYY[[[UUUWWW]]]kkk~~~{{{sssoooppprrrsssrrrxxxkkk]]]NNNDDD666111---+++...000000///,,,,,,,,,,,,,,,,,,,,,,,,+++++++++*********************++++++++++++************+++++++++***)))(((((((((((()))))))))******((((((''''''''''''((((((((((((''''''''''''((((((&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$%%%%%%&&&&&&'''''''''&&&&&&''''''''''''&&&&&&%%%&&&&&&&&&''''''''''''((((((((('''''''''''''''***))))))(((''''''&&&&&&%%%&&&&&&'''(((((())))))&&&&&&&&&'''''''''''''''&&&'''((()))))))))vvvqqqggghhhjjjkkklllkkkjjjiiihhhccc```[[[TTTNNNIIIEEEDDDEEEBBB<<<777444333555666555222000111111222999AAA<<<<<<;;;:::888555333111---------,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,+++***)))***++++++***)))************************++++++++++++++++++++++++))))))*********+++++++++************************))))))))))))************)))))))))***+++++++++,,,,,,***))))))***++++++***))))))***++++++,,,------+++++++++,,,,,,,,,------+++++++++,,,,,,,,,------...---,,,---...222555777CCCJJJTTT[[[]]]]]]]]]]]]\\\]]]\\\YYYUUUSSSUUUXXXYYYZZZ^^^```]]]\\\eeeqqqnnnooovvvzzzlllaaaaaakkkuuu|||}}}rrrfffHHH@@@666111000000...,,,------------------------++++++++++++,,,,,,,,,,,,***++++++,,,,,,++++++***+++,,,,,,---,,,+++***)))(((((()))))))))*********((((((''''''''''''((((((((((((''''''''''''((((((&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$$$$%%%%%%&&&''''''(((''''''&&&&&&&&&&&&''''''&&&&&&'''''''''((((((((()))((((((((('''''''''&&&''''''''''''''''''''''''''''''''''''((((((((((((&&&&&&&&&'''''''''((((((&&&'''((()))***)))gggiiikkklllkkkjjjjjjkkkhhhfff```ZZZUUUPPPNNNLLLLLLHHH@@@999555555777999333000///000//////444;;;333111111111222111...+++------,,,,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,+++***)))***+++++++++)))************************++++++++++++++++++++++++))))))******++++++++++++************************))))))))))))************(((((()))***+++,,,,,,---,,,***))))))***++++++***))))))***+++,,,,,,------+++++++++,,,,,,---------++++++,,,,,,,,,------------,,,,,,---000666;;;>>>OOOTTT[[[^^^[[[WWWTTTSSSXXXZZZ\\\[[[YYYYYY[[[^^^^^^]]]]]]]]][[[bbbwww|||||||||vvv}}}vvvdddOOOXXXcccpppxxxaaaVVVHHH===888555111---------------------------+++++++++,,,,,,---------***++++++,,,,,,++++++***,,,,,,---...---,,,+++***))))))))))))************((((((''''''''''''((((((((((((''''''''''''((((((&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$$$$%%%%%%&&&'''((((((((('''&&&%%%%%%&&&'''((('''''''''(((((((((((()))))))))(((((('''''''''&&&$$$%%%%%%&&&&&&''''''((()))))))))(((''''''&&&&&&&&&&&&&&&'''''''''((((((&&&''')))*********zzzoooiiiiiilllmmmlllfffbbbbbb^^^WWWPPPNNNLLLHHHBBB===;;;:::999888999555///,,,---222666888444333222111000///...---------------------------,,,,,,---------------------,,,,,,+++*********+++,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,+++************************************+++++++++*********))))))************************************************...---+++******+++---...******+++++++++,,,,,,,,,,,,,,,++++++,,,,,,---...++++++,,,+++)))***,,,.........---...333<<>>???@@@???;;;<<<@@@BBBAAAAAAEEEIIIMMMRRRWWW[[[\\\___XXXYYYgggrrryyyyyy{{{|||sssmmmnnnxxxtttRRR:::555444333111000000//////......---------,,,,,,,,,))))))******++++++++++++************************)))((('''((()))***)))(((((((((''''''''''''(((((('''''''''''''''''''''''')))((('''&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((((('''%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''###$$$%%%&&&'''&&&%%%%%%&&&&&&&&&'''''''''(((((('''(((((()))))))))))))))&&&&&&&&&'''''''''sssccccccgggdddbbbeee```[[[TTTPPPOOOMMMIIIEEELLLGGG???888444111///...111000000//////......---000////////////.................................+++---------+++++++++---...,,,******---...---++++++++++++************)))************************++++++******))))))((((((++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------------,,,,,,000+++,,,222555333222555666???LLLWWW^^^bbbcccddddddfffhhhjjjmmmnnnooopppsssmmmiiijjjhhh```[[[\\\WWWggg|||}}}wwwsss```YYYSSSUUU\\\aaa```\\\ccc___XXXSSSOOOMMMJJJIIIHHHHHHIIIJJJKKKJJJIIIGGGAAADDDFFFGGGEEEDDDDDDEEECCCCCCCCCEEEFFFFFFEEECCCBBBDDDEEEEEECCCAAAAAAAAADDDDDDDDDDDDEEEGGGHHHIIIIIIHHHIIIOOOVVV```ooo|||{{{xxxyyyuuuqqqaaappphhhVVV???888333222000------000111111000...,,,---///111************************************************************************))))))))))))))))))))))))'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%&&&'''((((((((('''''''''''''''''''''''''''***)))((('''''''''''''''&&&&&&&&&'''''''''(((((())))))((('''&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&''')))++++++***'''&&&&&&$$$'''***++++++******+++((((((((((((((((((xxxsssnnnfffaaacccaaa```]]][[[XXXSSSLLLHHHIIIEEE>>>999555333000...000000/////////........./////////............---........................+++---------++++++,,,---000...+++******+++)))'''++++++++++++************************************+++++++++*********))))))++++++++++++++++++++++++************************,,,,,,---------............,,,---000000///444<<>>MMMYYYaaaeeeiiikkkjjjhhhffffffeeefffgggiiijjjjjjkkkkkkkkkfff^^^ZZZ^^^mmm~~~nnndddSSSPPPKKKFFFBBB@@@??????CCCDDDGGGKKKOOONNNJJJFFFJJJIIIIIIKKKNNNQQQSSSSSSVVV[[[``````]]]\\\___bbbjjjuuuvvvnnnkkkwwwzzz}}}zzzuuurrrtttwww{{{vvvqqqoooppprrrkkkjjjgggeeebbbaaa``````]]]YYYVVVUUUQQQKKKJJJLLLKKKIIIEEECCCBBBBBBCCCDDDDDDGGGOOO]]]ooovvvjjjiiipppxxxvvveeeUUUMMMMMMWWWYYYYYYPPP???000///666111///......//////...---++++++++++++++++++++++++++++++++++++++++++++++++************************))))))))))))))))))))))))''''''''''''''''''''''''((((((''''''''''''''''''((((((((((((((('''&&&%%%'''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&((((((((((((((((((((((((&&&(((***)))(((''''''(((&&&$$$&&&+++111333...)))((((((((((((((((((sssggg\\\\\\dddggg___TTTUUURRRMMMIIIDDD???888444444333333222222111000000//////.........---------........................+++,,,...------,,,...///222000---)))&&&%%%%%%&&&,,,,,,,,,++++++++++++***************************)))))))))******+++++++++++++++++++++++++++++++++------------------------000000000//////.........,,,,,,---222>>>NNN\\\ddddddfffiiiiiihhhfffffffffhhhhhhiiiiiiiiihhhhhhhhhccc^^^XXXZZZiiisss{{{{{{lll[[[NNNGGGFFFFFFFFFFFFGGGIIIKKKMMMGGGHHHIIIKKKMMMOOOOOOOOOIIIJJJMMMSSSYYY]]]______```kkkuuuuuummmkkksss|||}}}yyyxxxxxxyyytttmmmfffaaa\\\UUUSSSTTTWWWRRRKKKFFFEEEDDDCCCBBB@@@BBBFFFLLLTTT```mmmvvvxxxtttrrrssshhhPPPBBBKKKTTT```aaaSSS@@@666666111///------///000///---++++++++++++++++++++++++++++++++++++++++++++++++************************************************((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&((()))))))))((('''&&&&&&''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&'''''''''''''''))))))))))))))))))))))))&&&''')))((('''''''''(((&&&(((,,,444:::999111***((((((((((((((((((sss```ZZZ```eee___WWWZZZVVVQQQLLLGGGAAA;;;777555555444333111000//////000////////////.................................+++,,,......------...000---------++++++---111555,,,,,,,,,,,,++++++++++++************************((())))))***+++,,,------++++++++++++++++++++++++++++++++++++++++++++++++111000000000////////////,,,///333;;;JJJ[[[eeegggfffhhhiiiiiihhhhhhiiijjjllllllkkkjjjiiigggfffeeeZZZ]]]dddpppggghhhoooooobbbQQQGGGDDDDDDFFFHHHJJJKKKKKKLLLOOOQQQRRRRRRPPPMMMKKKLLLOOORRRQQQUUU]]]gggpppuuuwwwvvv|||zzzrrrjjjffffffhhh___RRRKKKHHHGGGDDDAAACCCDDDCCCAAA@@@FFFOOOWWWeeekkkvvvvvv~~~gggTTTMMMLLLQQQ]]]```TTTAAA333555111,,,+++---...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,************************************************((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&&&&&&&(((((()))))))))(((''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&'''((('''''''''''''''&&&&&&&&&%%%&&&&&&&&&'''((((((((())))))))))))))))))))))))&&&'''((((((&&&&&&((()))***,,,111777:::777...'''((((((((((((((((((rrrdddaaaaaa___\\\```\\\VVVQQQMMMHHHBBB???<<<;;;:::888666444222222111111000000000/////////........................+++,,,......------///111)))***,,,---000555<<>><<<999888777111111111111000000000000........................+++,,,............///111,,,---,,,+++***,,,111666---------,,,,,,,,,++++++************************+++,,,---...///111222222++++++++++++++++++++++++........................+++,,,...///111333555555888GGGUUU[[[___fffjjjjjjiiijjjjjjiiiiiiiiilllnnnjjjiiigggdddaaa]]][[[YYY```uuunnnXXXIIICCCIIIOOOPPPJJJGGGLLLPPPPPPUUUYYY^^^aaaccceeeiiilllaaadddiiimmmrrr{{{tttrrrqqqnnnjjj```\\\VVVSSSRRRPPPKKKGGGFFFGGGGGGIIIOOO[[[lllwwwrrrlllkkkiiigggfffIIIAAA777222111111///,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,************************************************))))))))))))))))))))))))&&&'''''''''(((((())))))''''''((())))))***))))))'''''''''''''''''''''''''''''''''''''''((()))***(((((('''''''''&&&&&&&&&$$$%%%%%%&&&'''((())))))((((((((((((((((((((((((%%%&&&''''''&&&&&&(((***###&&&+++---,,,***))))))((((((((((((((((((pppbbbfffaaa[[[ZZZZZZVVVKKKBBBGGGFFFEEEDDDAAA<<<666111333222111111000111111111......////////////......------............------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++---***)))---222555333///.........------,,,,,,,,,............---+++)))'''---111333111///333===FFFUUUWWW\\\aaafffiiikkklllkkkkkkkkkmmmqqqsssnnnhhhjjjmmmfff___[[[UUU[[[ooowwwaaaXXXPPPFFFCCCGGGIIIKKKNNNQQQTTT[[[eeemmmkkkqqqxxxxxxuuutttyyy~~~}}}rrrkkkggg^^^TTTUUUTTTSSSPPPMMMLLLMMMNNNaaarrr~~~mmmaaagggjjjTTT===666555111---,,,111000///---+++*********------......------,,,+++******+++++++++,,,,,,,,,,,,,,,++++++***++++++,,,******)))((((((((((((((())))))))))))))))))))))))&&&&&&''''''((()))))))))(((((((((''''''(((((((((''''''''''''''''''''''''&&&&&&&&&'''''''''(((((((((((())))))))))))(((((((((((('''(((((()))***+++''''''&&&&&&&&&&&&''''''###(((+++******,,,+++)))***))))))((('''&&&lllddddddbbb^^^YYYTTTQQQPPPIIIGGGDDDBBB@@@<<<888555333222222111111111111111......////////////......------............------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++---***))),,,111333111.........---------,,,,,,,,,---......///...---,,,+++---///111111222999EEENNN[[[]]]```dddgggiiikkklllmmmmmmmmmmmmmmmmmmllliiifffddd[[[WWW^^^cccnnnhhhXXXKKKJJJKKKHHHIIIOOOMMMRRRXXX___fffppp{{{~~~{{{pppppphhh]]]TTTOOONNNMMMMMMMMMZZZgggooo{{{~~~~~~wwwccc^^^fffYYYJJJ???666///---111///////////////000000000------......------,,,+++************+++,,,------------,,,+++******************)))((((((((((((((())))))))))))))))))))))))((((((((((((((((((''''''&&&'''((())))))((('''&&&''''''''''''''''''''''''&&&&&&&&&'''''''''(((((((((((())))))))))))(((((((((((((((((((((((()))***(((''''''&&&&&&''''''((((((///333...)))(((((((((***))))))(((''''''qqqkkkccc]]]YYYVVVUUUTTTLLLIIIDDDAAA???===;;;:::333333222111111111111111...//////000000//////...------............------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++---+++***,,,///111///,,,...------------,,,,,,,,,,,,---...///000000000//////000222555<<>>111---000++++++,,,---.........------............---,,,,,,+++*********+++,,,...//////...---+++***)))((((((*********)))))))))))))))))))))))))))))))))))))))******)))(((((('''&&&&&&$$$%%%(((******(((%%%$$$''''''''''''''''''''''''&&&&&&'''''''''((((((((((((((())))))))))))(((((())))))(((((('''((((((((((((''''''&&&&&&''''''((((((000555///'''%%%'''(((***))))))(((((('''lllaaa___^^^WWWPPPMMMJJJFFFCCCBBB@@@===;;;333333222111111111111222//////000000000000//////------............------------------------------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,+++***,,,......---+++------------------------------...//////000000000000222888@@@KKKWWWaaafffggghhhiiijjjlllmmmmmmnnnkkkhhhhhhjjjiiifffdddeeeZZZaaadddqqq{{{hhhXXXOOOKKKFFFCCCMMMJJJLLLTTTYYY[[[^^^ccciiiqqq|||{{{{{{zzzrrriii^^^^^^[[[XXXXXX]]]bbbfffxxx|||gggQQQRRRTTTRRRJJJ===333---,,,---------,,,+++***)))...............------,,,+++*********+++,,,///000000///...+++***(((''''''*********************)))))))))))))))))))))))))))))))))))))))((((((''''''%%%&&&'''(((((('''&&&%%%''''''''''''''''''''''''''''''''''''(((((((((((((((((())))))))))))((((((***)))((('''''''''''''''((((((''''''''''''((((((###***---***&&&''')))***))))))))))))(((((({{{|||wwwjjj```YYYTTTNNNLLLJJJHHHFFFBBB>>>;;;444333333222111222222222//////000000000000//////------............------------------------------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,++++++,,,------,,,+++------------------------..................//////000666@@@LLLWWWaaafffiiihhhiiijjjkkkmmmnnnppppppoooiiifffhhhhhhbbb]]]\\\gggzzziii]]]NNNDDDBBBDDDEEEEEEPPPSSSZZZcccjjjmmmrrrwwwsss|||qqqqqqqqqnnnggg___YYYXXXZZZaaaqqquuuccc\\\SSSNNNMMMGGG;;;///111111111111000...------......//////......---,,,+++++++++++++++---...///000///---+++***((((((((()))***++++++,,,+++******************************(((((((((((())))))******((('''&&&%%%%%%&&&'''((((((((((((((((((((((((((('''''''''((((((((())))))(((((())))))))))))(((((())))))(((''''''&&&''''''(((((((((''''''((((((((($$$''''''&&&(((,,,,,,))))))))))))))))))(((}}}vvvzzzuuu```ZZZ\\\QQQOOOLLLJJJHHHDDD???;;;444444333222222222222222///000000111111000000///------............------------------------------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++,,,---------,,,,,,,,,,,,,,,------------...//////............///000333<<>>>>>??????@@@@@@@@@@@@CCCDDDGGGLLLQQQVVVZZZ]]]aaaeeelllqqquuuxxx{{{}}}}}}tttlllfffdddbbb[[[VVV\\\mmm}}}\\\LLL<<<444111///............---------------...+++---//////---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******++++++++++++,,,,,,******++++++++++++******)))((('''&&&&&&'''((()))))))))))))))))))))))))))***))))))))))))((((((((()))))))))(((((('''''''''((((((((((((((((((((((((''''''''''''((((((((((((---+++(((((())))))((('''(((((((((((())))))))))))(((((((((((()))***pppaaaYYYWWWVVVUUUEEEAAA<<<777666555444333222222111111111000000000////////////////////////........................+++,,,---,,,+++++++++------------------------------------...............,,,---............---,,,000111444===IIITTTZZZ\\\dddddddddeeefffiiimmmooohhhnnnmmmeeeeeejjjhhh___]]]___iii}}}zzzjjj]]]VVVRRROOOQQQUUUYYY___dddrrrzzzzzzsssrrrlllccc^^^[[[YYYUUUQQQLLLJJJGGGFFFFFFEEEDDDCCC======<<<<<<<<<<<<<<<<<<;;;:::999999:::;;;<<<<<<======>>>>>>>>>===<<<<<<>>>???@@@???===<<<<<<===>>>?????????@@@@@@AAAAAA???@@@AAABBBDDDFFFHHHIIIIIINNNUUU\\\bbbggglllooorrrwwwxxxoooooommmfff^^^\\\fffzzzzzzdddRRR>>>555222000///000///......------------...,,,...000000...,,,,,,,,,++++++,,,,,,,,,,,,------+++++++++++++++,,,,,,,,,******++++++++++++*********)))(((((((((((()))***))))))))))))))))))))))))))))))))))))))))))))))))******))))))((('''''''''((((((((((((((((((((((((''''''''''''((((((((((((,,,+++))))))))))))))))))(((((((((((())))))))))))((((((((((((((()))uuucccZZZXXXYYYKKKGGGAAA===:::888666555222222222222111111111111////////////////////////////////////////////////+++,,,------++++++,,,------------------------------------.........//////------...////////////...111444;;;HHHUUU]]]```^^^hhhhhhhhhiiikkkkkkkkkjjjeeekkkkkkdddbbbeeeddd___]]]kkkvvvkkkaaaVVVNNNOOOOOOSSS[[[```fffrrrzzzrrrkkkddd___YYYUUUOOOKKKJJJHHHFFFCCC@@@???======>>>???>>>===::::::;;;;;;;;;<<<<<<;;;999::::::;;;;;;<<<===>>>>>>>>>?????????>>>>>>======???@@@???===<<<<<<<<<<<<======>>>???@@@AAAAAAAAAAAAAAAAAAAAA@@@@@@@@@;;;===AAAEEEJJJOOOUUUZZZ]]]aaahhhooouuu|||{{{{{{xxxoooeeeaaacccgggyyyrrrxxxlllZZZFFF<<<777333222333000///...------------------///000000...---,,,---+++++++++,,,,,,------------------------,,,,,,,,,******++++++++++++******************************))))))))))))))))))))))))))))))))))))******************))))))(((((((((((())))))))))))))))))))))))''''''''''''(((((((((((())))))))))))))))))+++,,,(((((((((((())))))))))))((((((((('''((((((kkk^^^YYYSSSNNNHHHCCC???<<<888666333333333222222222111111000000000000000000000000////////////////////////,,,---......,,,,,,---......------------,,,,,,,,,,,,,,,------.../////////............///111222333666;;;EEERRR___ggghhhgggjjjjjjkkkmmmnnnmmmjjjgggfffhhhgggbbb]]]\\\bbbgggmmmkkkYYYSSSOOOMMMNNNNNNPPPYYYgggsssyyyqqqfff^^^XXXSSSNNNKKKEEECCCAAA??????>>><<<;;;<<<;;;;;;<<<>>>>>>>>>===????????????>>>===<<<<<<;;;===????????????AAACCC???@@@@@@AAABBBBBBAAAAAABBBDDDFFFFFFEEECCCCCCCCC======>>>???@@@@@@AAAAAA@@@AAAAAABBBAAAAAA@@@@@@===>>>>>>>>>???BBBFFFIIIHHHKKKOOOTTTZZZaaaiiioooxxx{{{zzzrrrppplllccc[[[```lll~~~zzzqqquuu||||||qqqdddTTTIII@@@666111111000000///...------------...000111111///---------***++++++,,,,,,------.........------------,,,,,,******++++++++++++******++++++++++++++++++++++++)))))))))))))))))))))))))))))))))************+++))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''(((((((((((('''((())))))((()))+++---(((((((((((())))))))))))***))))))(((((((((mmm```ZZZUUUNNNHHHCCC???:::777444333333333333222222222000000000000000000000000////////////////////////---...//////------...///......---------,,,,,,,,,,,,,,,------...//////000//////......000333666888@@@EEENNNYYYccciiikkklllkkkjjjjjjlllnnnnnnkkkhhhiiieeecccaaa[[[ZZZkkksssVVVMMMNNNMMMPPPVVVVVVYYYjjj{{{mmmeee___YYYPPPJJJGGGEEEAAA???<<<<<<===>>>??????===<<<>>>>>>>>>???BBBCCCBBBAAABBBCCCDDDDDDDDDCCCBBBBBB@@@CCCEEEFFFEEEDDDFFFHHHDDDEEEFFFHHHIIIIIIIIIIIICCCFFFHHHIIIHHHFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFDDDEEEFFFGGGGGGFFFEEEDDDBBBCCCCCCBBBAAAAAABBBDDD???@@@BBBDDDGGGLLLRRRVVV___cccjjjpppwww~~~{{{||||||vvvnnn^^^aaahhhtttzzzzzzyyypppfffWWWDDD888444111000///...------------///111222222///---------******+++,,,,,,---......---------,,,,,,,,,++++++******++++++++++++************++++++++++++******))))))))))))))))))))))))))))))*********+++++++++((((((((()))******++++++))))))))))))))))))))))))''''''''''''(((((((((((('''((()))(((&&&&&&(((+++(((((((((((())))))))))))+++***))))))((((((|||kkk^^^YYYRRRKKKFFFAAA<<<888444444444333333333222222000000000000000000000000000000000000000000000000...///000///.........000.........------,,,,,,,,,,,,,,,------...///000000000///......000444888;;;JJJNNNTTTZZZ```eeeiiikkkllljjjiiijjjmmmooommmkkkkkkccc```bbb]]]^^^xxxvvv^^^MMMOOOUUUTTTVVV[[[aaaggg~~~{{{tttggg[[[VVVQQQKKKDDDAAA@@@@@@???===999:::===???AAAAAA???>>>???>>>???AAACCCDDDCCCBBB???AAACCCEEEFFFGGGGGGFFFAAADDDGGGGGGFFFEEEGGGIIIHHHIIIJJJLLLMMMNNNNNNOOOPPPSSSVVVWWWVVVUUUUUUUUUOOONNNNNNMMMLLLKKKKKKJJJMMMMMMNNNNNNMMMKKKJJJIII>>>@@@CCCDDDCCCAAAAAAAAA???AAABBBBBBBBBCCCFFFHHHGGGLLLTTT\\\eeemmmuuuzzz|||qqqmmmgggeeennnzzz~~~rrrYYYGGG@@@111111000......---------///111222222000...------******+++,,,,,,---......,,,,,,,,,++++++***************++++++++++++******))))))************))))))))))))))))))))))))))))))))))))******++++++++++++''''''((()))***+++,,,,,,))))))))))))))))))))))))''''''''''''((((((((()))(((******(((%%%$$$&&&((((((((((((((()))))))))))),,,+++***))))))(((kkkZZZTTTTTTIII???<<<777777555222111222333222222111111111000///......---......//////000000111111000000///...---.........000000//////.........---+++,,,---...///111222222,,,///111000000555???GGGRRRUUUYYY]]]___aaadddgggmmmnnnnnnnnnnnnooolllhhhiiibbb[[[YYYaaawwwgggWWWNNNUUUZZZZZZ___iiiqqq~~~oooggg___TTTMMMLLLEEECCC@@@>>>======???@@@===>>>>>>>>>>>>???@@@AAA??????@@@CCCFFFGGGGGGFFFGGGGGGGGGFFFGGGGGGHHHIIIKKKLLLNNNNNNOOOQQQTTTWWWZZZ\\\___cccfffhhhjjjjjjnnnooopppooommmkkkkkkkkkfffeeedddaaa___\\\[[[ZZZ]]]ZZZXXXYYY\\\[[[UUUPPPIIIKKKKKKIIIDDDCCCDDDGGGDDDDDDCCC@@@>>>>>>AAACCCCCC@@@CCCMMMTTTWWW^^^ffflllqqqzzzssseee\\\^^^jjjttt}}}www[[[FFF:::...---000,,,---222///......---,,,,,,,,,,,,---++++++++++++++++++++++++------,,,,,,,,,,,,++++++)))************+++++++++************************((()))***++++++***)))((())))))))))))***************))))))((()))+++---...:::666111+++(((&&&''''''))))))))))))))))))))))))******))))))((((((''''''))))))))))))******************))))))))))))kkk]]]YYYOOOGGGDDD===<<<999555333333333222111222222111000000///....../////////000000000000000000000000/////////......000/////////............,,,------...///000111111///000000000222999EEEOOOVVVWWWYYY\\\___bbbdddeeejjjlllmmmkkkjjjjjjjjjjjjfff___\\\hhhwwwmmm]]]VVVWWWcccmmmssspppdddXXXRRRMMMEEE@@@???@@@???===<<<<<<>>>@@@AAA>>>@@@BBBCCCDDDDDDEEEEEEHHHGGGGGGHHHJJJKKKLLLLLLOOOOOOPPPQQQRRRSSSTTTTTTaaacccfffiiilllqqqvvvyyy~~~~~~{{{xxxxxxxxxvvvpppjjj___^^^]]]YYYUUUQQQOOOOOOLLLKKKHHHFFFDDDDDDDDDDDDDDDAAABBBFFFHHHFFFHHHMMMVVVZZZbbblllvvvvvvjjjaaaaaafffkkkyyyyyyvvvaaaGGG888333444//////000+++///...------,,,,,,------++++++++++++++++++++++++------,,,,,,,,,,,,++++++)))************+++++++++************************((()))***++++++***)))((())))))))))))************(((((((((((((((***+++,,,...,,,)))''''''''')))***))))))))))))))))))))))))***)))))))))((((((((('''))))))))))))************))))))((((((((((((hhh___UUUOOOKKKCCCAAA===999666444333222111333222222111111000000000000000000000000000//////000000111111111000///...////////////......................../////////000000111111222666@@@NNNXXXZZZXXXXXX[[[```eeeeeedddhhhjjjkkkkkkhhhggghhhkkk^^^XXX]]]vvvgggYYYUUUUUUZZZgggwwwtttjjjcccVVVMMMEEEBBBAAA===;;;;;;======<<<<<<>>>@@@CCCEEE???BBBEEEGGGGGGGGGHHHHHHMMMLLLKKKKKKMMMPPPTTTVVVYYY]]]cccjjjqqqvvvzzz|||}}}xxxtttnnnhhhddd\\\XXXSSSPPPOOOMMMIIIFFFGGGDDDDDDEEEDDDAAA@@@BBBCCCGGGLLLSSS\\\iiiwwwzzzrrrlllhhheeedddvvv}}}xxx~~~YYYCCC888666222222111)))///...------,,,---------,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,++++++)))************+++++++++************************))))))************))))))))))))))))))************((('''''''''((()))***+++&&&&&&&&&&&&''')))***+++))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))************((((((''''''''''''yyymmm]]]RRRMMMFFFCCC???:::666555444333222333333333222222111111111222111111000000////////////000222333222111///---///////////////.........///////////////............000333777>>>IIIUUU]]]\\\XXXWWW[[[bbbhhhhhhfffiiihhhiiikkkjjjgggfffgggYYY]]]lllppp[[[SSSTTTVVVeeezzzuuuiii```WWWQQQGGGCCC>>>===>>>>>>======???>>>>>>???AAACCCFFFHHHDDDFFFIIIIIIHHHHHHKKKMMMLLLLLLMMMPPPTTT[[[ccchhhqqqvvv~~~~~~uuunnngggcccaaa]]]VVVPPPKKKIIIGGGGGGFFFEEEEEEFFF???BBBEEEGGGLLLVVVdddnnn~~~}}}yyyssskkkeeebbbkkk{{{kkkPPP<<<555000222444---//////...---------------,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,+++++++++))))))*********+++++++++************************)))))))))******)))))))))((()))))))))************(((((((((((())))))******(((((())))))******))))))(((((((((((((((((((((((())))))))))))((((((((((((((()))))))))************)))((((((''''''(((mmmXXXOOOHHHCCC???:::666555555444444333333333333222222222222222222111111000000/////////000222333222111///---.........///////////////////////////............+++///777???HHHPPPXXX]]][[[XXXXXX]]]eeejjjkkkiiiiiidddccchhhjjjeeeaaa```^^^qqqsssdddZZZXXX[[[___uuu~~~nnnaaaYYYRRRJJJEEE===<<<:::999:::<<<===<<<@@@@@@AAABBBCCCEEEHHHIIIHHHJJJKKKJJJIIIKKKQQQVVVVVVZZZ___eeelllvvv~~~xxxnnnggg^^^ZZZTTTMMMGGGEEEDDDCCC@@@AAABBBBBBCCCIIIQQQXXXjjjsss~~~vvvmmmeeedddkkk~~~dddKKK<<<000000333/////////...------------...,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,+++++++++))))))*********+++++++++***************************))))))))))))))))))***((()))))))))************))))))******************)))***+++++++++***)))((((((((((((((((((((((((((((((((((((((())))))))))))((()))))))))***************))))))(((((()))dddVVVNNNEEEAAA;;;777666555555555222222222222222222222222111111111111111111000000000000111111111000///............//////////////////////////////.........,,,222<<>>:::999;;;;;;:::;;;>>>???===AAABBBCCCDDDFFFHHHJJJKKKGGGKKKOOOQQQRRRXXXaaahhhvvv|||uuufffYYYRRRLLLFFFEEEDDDBBBAAAAAACCCEEEFFFRRR[[[fffppp|||{{{rrriiidddmmm~~~~~~iiiUUU>>>444333///000///......------......,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,++++++)))************+++++++++******************************))))))))))))******))))))))))))************)))***++++++++++++******&&&'''((()))******))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))******************))))))))))))sssaaaWWWJJJEEE>>>999777666555555111111111222222222222222111111111111111111222222000000000/////////................../////////000.........///////////////111777AAAMMMVVV[[[\\\[[[[[[]]]aaadddggghhhhhhgggccc]]]]]]```^^^[[[dddrrrooo\\\UUUUUU[[[jjj{{{~~~mmmaaaRRRNNNHHHAAA===;;;::::::999>>>@@@>>>???CCCDDDBBBCCCDDDGGGIIIMMMPPPRRRSSSPPPYYYdddmmmsss{{{~~~uuukkkbbbYYYTTTMMMJJJIIIHHHEEEBBBBBBIIIQQQWWWbbbqqq}}}yyyqqqlllmmmvvvyyyYYYBBB999222000//////...............------------------------------,,,,,,,,,,,,++++++)))************+++++++++************************+++***)))(((((()))***+++))))))))))))************))))))***++++++***)))((('''''''''(((((())))))***))))))))))))))))))))))))'''((((((((()))))))))***))))))))))))************))))))((((((((((((|||iii^^^OOOIIIBBB;;;888666555444111111111111111111111111000000000111222222222333000000///............///---.........//////000000............//////000000777<<>>AAA???@@@EEEFFFCCCFFFHHHKKKOOOSSSWWWZZZ\\\bbboooqqqhhh]]]WWWUUURRRKKKEEE>>>BBBEEEGGGNNN[[[gggkkkwwwyyyggg```nnn|||}}}pppPPPAAA777000000///...............---------------------------------,,,,,,,,,++++++)))************+++++++++************************+++***)))(((((()))***+++))))))))))))************(((((()))******)))(((''',,,+++***)))))))))))))))))))))))))))))))))))))))'''((((((((())))))******))))))))))))************((((((''''''''''''vvvhhh^^^NNNCCCEEEDDD:::444555555444222222333222111///222222111111000000//////111111000000//////......//////000000000///---,,,///000111000...///222666>>>FFFPPPTTTSSSTTTYYY^^^aaabbbcccdddeeeeeeeeeeee___cccbbbZZZUUU```|||vvv```ccccccbbbllllll]]]RRRHHHCCC@@@???===<<<<<<<<<======BBB???AAAFFFGGGCCCDDDIIIKKKOOORRRSSSUUU^^^mmmyyy~~~{{{rrrfffWWWNNNLLLEEEDDDDDDGGGHHHJJJRRR[[[^^^ttt}}}jjj]]]\\\bbbwwwhhhLLL===666222000000...+++...333......---,,,,,,,,,,,,---,,,,,,---...---,,,+++***************************************************(((((((((((((((((((((((())))))))))))))))))))))))(((((())))))******++++++,,,+++++++++******))))))((((((((((((((()))******))))))))))))))))))))))))))))))***++++++++++++***+++******)))((('''xxxkkkYYYJJJFFFBBB:::888;;;666555333333333333222000111111111000000000000000111000000000/////////......//////000///...---,,,...000111///---///555:::DDDKKKSSSVVVUUUVVV[[[___ddddddeeeeeeeeeeeedddcccccc]]]UUUTTT___wwwsssqqquuuvvvxxx}}}iiiYYYNNNGGGAAA===::::::::::::;;;<<<===>>>EEEBBBCCCHHHIIIHHHJJJPPPJJJQQQ\\\eeemmmzzz~~~nnnaaa\\\PPPKKKGGGFFFFFFEEEIIIOOOTTTggg{{{tttddd]]]^^^iiijjjTTT:::444000000///,,,,,,...///...------,,,,,,------,,,,,,---------,,,+++***************************************************)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))*********))))))))))))((((((((('''((((((((((((((()))******))))))))))))))))))))))))(((((()))*********************))))))((((((yyyeeeSSSKKKFFF>>>999:::777555333333444444333222000000000000111111111111000000000000////////////.........///......---,,,,,,///111///---000999BBBLLLQQQVVVXXXWWWWWW\\\```fffgggggggggfffeeecccbbbfff[[[UUUbbbyyyqqqsssxxxfff\\\OOOEEE@@@>>><<<;;;999:::;;;===???@@@BBBBBBHHHFFFFFFIIIKKKMMMSSSZZZ___jjjyyywwwjjj```UUUPPPLLLGGGEEEFFFHHHUUUeeesssvvviiidddaaasssbbbEEE;;;222111111...,,,,,,///...------,,,---------,,,------------,,,++++++************************************************************************))))))))))))))))))))))))************))))))))))))))))))))))))((((((((((((((((((((((((((()))******))))))))))))))))))))))))'''((((((((())))))))))))))))))))))))((((((ttt```WWWTTTKKK???888888666333333333333333222//////000000111111222222000000000000////////////---............---------+++///222000...333???JJJPPPTTTWWWXXXVVVWWW[[[^^^ffffffggghhhgggeeecccbbbbbb```iiitttiiiqqqnnnZZZPPPJJJBBB===<<<===>>>>>>???@@@BBBCCCEEEFFFFFFFFFKKKKKKNNNQQQUUU[[[eeemmmpppfff___UUULLLGGGFFFLLLVVV```lllvvv~~~}}}uuujjjooowwwkkkUUUEEE666111222111///...//////...------------------------------,,,,,,,,,************************************************************************))))))))))))))))))))))))++++++******))))))((((((+++++++++***************((((((((((((((())))))***))))))))))))))))))))))))(((((((((((())))))******(((((((((((())))))mmm```]]]VVVHHH===:::777444222222222111111//////000000111111222222////////////000000000000.........---............,,,///222111222999FFFPPPQQQTTTVVVWWWVVVWWWYYY\\\bbbdddeeeggggggeeedddbbbZZZfffxxxiiilll|||kkkXXXIIIFFFCCC???<<<<<<>>>@@@AAADDDDDDEEEEEEFFFFFFGGGGGGKKKQQQYYY___hhhttt~~~tttgggZZZSSSKKKMMMOOOTTTYYYbbbnnnxxxvvvqqqwwwzzzfffQQQ;;;111111111111111//////...------------.........---------,,,,,,,,,************************************************************************))))))))))))))))))))))))++++++******))))))((((((******************++++++((((((((((((((())))))***((((((((((((((((((((((((******)))))))))***+++,,,(((((((((((())))))zzzeee\\\UUUKKKCCC>>>:::666333222222111000000000000000111111111111////////////000000000000///............///000000///000222333777@@@KKKTTTQQQSSSVVVXXXXXXYYY[[[\\\___aaaccceeeeeedddbbb```YYYoooxxxiiilllzzzwwwfffYYYLLLBBB@@@???===<<<<<<===???AAADDDDDDDDDDDDFFFHHHJJJLLLOOOZZZgggqqq~~~|||ooogggVVVQQQLLLKKKKKKPPP[[[fffnnnyyyvvvxxxxxxaaaGGG888222000000222000///......------......///......---,,,---------************************************************************************))))))))))))))))))))))))************))))))))))))(((((((((((())))))))))))((((((((((((((()))******((((((((((((((((((((((((+++***)))))))))***,,,---))))))))))))(((((({{{fffXXXNNNHHHCCC???999666444333222111111111111000000000000000.../////////000000000111000//////...///000111222222111222555===GGGPPPUUURRRTTTXXX[[[]]]^^^^^^___^^^```bbbdddcccaaa^^^[[[eeeuuufffjjj|||ppp\\\RRRKKKCCC=========>>>>>>???@@@CCCDDDFFFFFFFFFIIIMMMRRRXXX[[[gggvvvrrrdddWWWPPPMMMKKKMMMSSS\\\iiizzzuuuZZZGGG;;;444111111000//////...............000///...---,,,------...************************************************)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))*********'''((((((((())))))))))))((((((((((((((()))******((((((((((((((((((((((((+++***((((((((()))+++,,,******))))))((((((|||dddUUUOOOFFFBBB<<<888555444333222222222111111000000//////.../////////000000111111111000/////////111222333444222222777AAAKKKRRRUUUSSSVVVZZZ___aaabbbbbbbbb___```bbbcccaaa^^^ZZZXXXtttpppeeecccuuummmUUUHHHDDDAAA===999===???AAABBBDDDFFFIIIKKKJJJKKKLLLPPPWWW___hhhmmmkkkaaa[[[SSSLLLJJJQQQ___rrr}}}jjjUUUEEE999333222000000///...............000///...---,,,---......************************************************(((((((((((((((((((((((())))))))))))))))))))))))(((((())))))******++++++))))))******+++++++++,,,((((((((((((((()))******((((((((((((((((((((((((***)))'''&&&'''(((***++++++******)))((('''uuu^^^XXXOOOGGG>>>777555444333222333333333333333333333333000000000000000000000000000000000000000111111111444555777===FFFNNNTTTWWWZZZYYYZZZ\\\```bbbbbbbbbbbbdddbbbbbb^^^SSS\\\wwwkkkaaaeeepppxxxdddWWWJJJCCC???<<<<<>>???EEEHHHHHHHHHJJJJJJPPPVVV]]]kkkzzzmmmcccWWWMMMWWW\\\fffrrr}}}uuu|||ttt\\\DDD888888222333111//////000000///...////////////---,,,+++******)))))))))***,,,---+++++++++++++++++++++++++++++++++*********)))))),,,+++******))))))******++++++++++++*********)))''''''(((((())))))******))))))))))))))))))))))))(((((())))))))))))((((((''''''(((******+++++++++++++++******)))(((ooo\\\NNNGGG>>>888666666555333333333333333333333333333000000000000000000000000000111111222222222222222444555999???GGGOOOTTTWWWYYYYYY[[[]]]^^^```aaabbb___ddd```\\\[[[XXXfffrrraaagggmmmzzzvvvfffWWWLLLBBB>>><<<:::;;;>>>CCCBBBDDDJJJMMMMMMNNNRRRSSS[[[eeeooo~~~uuufffYYYWWWZZZ___gggqqq||||||uuuhhhLLL<<<888333222111000000000000....../////////...---,,,+++,,,,,,+++++++++,,,......+++++++++++++++++++++++++++++++++*********)))))),,,+++******))))))******++++++*********)))))))))))))))))))))(((((((((((())))))))))))))))))))))))(((((())))))))))))(((((('''((()))******+++++++++)))))))))))))))***|||^^^NNNHHH???999888777666444333333333333333333333333000000000000000000000000000111333444444444333222444777<<>>??????AAAEEEGGGGGGJJJMMMMMMPPPZZZddd{{{vvvoooeee^^^^^^dddmmmttt}}}}}}}}}sssTTT@@@888333000111222000..................---,,,++++++++++++++++++++++++++++++++++++++++++++++++++++++************************,,,+++******))))))******))))))))))))((((((((((((***)))))))))((((((((('''))))))))))))))))))))))))(((((())))))))))))(((((((((((()))***************(((((())))))******rrrYYYPPPEEE===888666444222444444444333333222222222000000000000000000000000000000222333333333222111555<<>>GGGMMMPPPQQQSSSUUUUUUXXX\\\]]][[[YYYZZZ[[[XXXXXXVVViiiwwwfff___hhh}}}fffYYYOOODDD>>>???<<<;;;>>>CCCDDDCCCEEEJJJIIIKKKRRR___mmm~~~{{{vvvsssrrrssstttuuuuuutttsssssssssttttttwww|||pppuuu}}}{{{nnnfffaaa___jjjqqq{{{vvv]]]HHH;;;111222222///---000///...---,,,++++++++++++---............------,,,++++++++++++++++++++++++***************+++++++++,,,+++******))))))************)))))))))((((((((('''''''''((()))*********))))))))))))))))))))))))(((((())))))))))))(((((())))))************))))))++++++******)))(((~~~||||||{{{}}}vvvvvv}}}wwwqqqyyy~~~{{{yyyxxx{{{~~~zzzgggjjjssstttgggUUUEEE<<<888555444555555444333333222111111000000000000000000000000444333111111111222444555:::AAAJJJOOOPPPQQQSSSVVVVVVXXXZZZ[[[\\\ZZZXXXWWWUUUWWW___|||xxxddd^^^bbbrrr}}}fffRRRJJJFFF>>>;;;>>>======AAAFFFFFFEEEHHHNNNLLLOOOZZZooo{{{xxxuuutttrrrqqqpppnnnllljjjhhhgggfffccc^^^YYYWWWVVVWWWXXXYYYXXXXXXXXXXXXYYY[[[\\\[[[aaagggjjjjjjjjjmmmqqqqqqrrrsssuuuvvvxxxyyyzzz|||}}}~~~sssooojjjhhhjjjmmmnnnnnnkkkmmmpppqqqppppppqqqqqquuutttuuuwwwuuusssyyy|||zzzyyyiiijjjnnnttt}}}rrrggg```fffjjjrrr}}}nnnPPP???333222222...---111///...---++++++++++++,,,....../////////...,,,,,,++++++++++++++++++++++++))))))*********+++++++++,,,+++******))))))******++++++*********)))))))))(((((((((((())))))))))))))))))))))))))))))))))))(((((())))))))))))(((((())))))************))))))*********)))))))))|||vvvuuu{{{rrrnnnmmmjjjjjjlllpppqqqmmmhhh```eeeqqq}}}ooo[[[III>>>999777555555555444333333222111111000000000000000000000000666444222111111333666888;;;BBBKKKOOOPPPQQQTTTWWWWWWWWWXXX[[[\\\[[[XXXUUUUUUZZZjjj{{{jjj]]]```lll}}}rrr\\\IIIEEEDDD===;;;>>>???@@@DDDIIIIIIIIIMMMSSSVVVZZZhhh|||xxxuuurrrqqqlllkkkhhheeeaaa___]]]\\\[[[ZZZYYYWWWUUURRRPPPOOOUUUSSSQQQOOONNNOOOPPPRRRNNNNNNNNNNNNPPPRRRTTTUUUOOOUUU\\\^^^]]]]]]```ccc\\\]]]^^^___aaacccfffgggfffhhhjjjlllllljjjgggeeeaaa[[[UUUSSSTTTWWWYYYYYYTTTWWWZZZ\\\[[[ZZZYYYYYYZZZXXXZZZ]]]\\\\\\cccnnnlllmmmnnnnnnlllhhhcccaaaaaa``````ccckkkxxx~~~ooofffdddffflllxxxyyyUUUBBB333222222------222///...,,,+++******+++,,,,,,,,,---...---,,,***)))++++++++++++++++++++++++))))))******++++++++++++,,,++++++***)))*********++++++++++++******************))))))((((((''''''))))))))))))))))))))))))(((((())))))))))))(((((())))))*********))))))(((((((((((()))******{{{xxxooopppwwwwwwssstttkkkdddaaadddeee```]]]^^^[[[dddtttdddOOOBBB<<<999999444444444333222111222333111111111111111111111111444444333111000333777:::CCCIIIPPPTTTSSSSSSVVVYYYWWW]]]```]]]ZZZYYYWWWSSSWWWfffzzzeee\\\\\\kkk}}}mmmZZZNNNBBB======;;;<<<===AAACCCHHHKKKJJJJJJQQQ[[[bbbpppzzzuuurrrnnnhhhddd```^^^[[[[[[\\\[[[WWWTTTUUUQQQOOOQQQSSSSSSSSSTTTQQQUUUWWWVVVTTTRRRPPPNNNUUUUUUWWWZZZ]]]\\\XXXTTTVVVWWWXXXZZZ\\\___aaacccjjjgggfffjjjpppsssooojjjhhhbbb___bbbfffeeeeeegggkkkkkklllnnnnnniii```ZZZ[[[YYYTTTOOONNNQQQSSSSSSRRROOOMMMOOOPPPOOOPPPQQQRRRRRRQQQPPPPPPQQQUUUXXXWWWVVVTTTSSSSSSTTTUUUUUURRRVVV\\\___cccjjjuuu}}}tttiiiggghhhnnnzzz}}}eeeOOO:::333222000///000......---------,,,,,,,,,***+++,,,---............------,,,,,,+++***)))))),,,++++++******++++++,,,///---+++***++++++***)))******++++++++++++******+++*********))))))((((((*********)))))))))))))))))))))))))))))))))))))))))))))))))))******************))))))))))))zzzvvvrrrpppppppppxxxzzz~~~sssnnnqqqvvv{{{jjjccc___``````\\\YYYZZZ^^^iiizzzdddOOOAAA<<<<<<666666555333222222222333111111111111111111111111444333333111111333888;;;DDDJJJQQQTTTTTTUUUWWWZZZYYY]]]___^^^YYYVVVXXXZZZmmmnnndddaaafffzzzjjj[[[SSSHHH???<<<===>>>???AAADDDGGGLLLNNNLLLNNNXXXeeevvvwwwwwwtttpppllljjjfff```\\\\\\YYYWWWWWWYYY\\\\\\[[[^^^___bbbgggjjjkkklllllloooooommmjjjhhhiiikkkllljjjpppyyy}}}~~~}}}}}}|||{{{{{{}}}~~~}}}zzzvvvtttsssrrrnnnjjjffffffgggiiilllllllllmmmkkkkkkkkkiiifffeeeeeegggaaa___\\\ZZZZZZ\\\___aaafffjjjnnnooonnnoootttyyyuuuppplllmmmttt}}}kkkWWWAAA777555222000000.........---------,,,,,,+++,,,,,,------............------,,,,,,+++++++++,,,++++++******++++++,,,...,,,*********+++***(((******++++++++++++******************)))))))))(((***)))))))))))))))))))))))))))))))))))))))))))))))))))))))))******************))))))))))))wwwrrrpppmmmkkkllloootttvvvuuuxxx~~~}}}qqqtttzzz|||ddd___[[[[[[[[[ZZZ[[[]]]]]]jjj~~~sssWWWDDD<<<999:::999666444222222333333222222222222222222222222333333222222222555:::>>>FFFKKKRRRUUUVVVWWWYYY[[[]]][[[]]]___XXXSSS[[[iiirrr^^^aaaeeesssrrr\\\PPPJJJBBB;;;<<>>CCCFFFGGGIIINNNOOOWWWgggyyypppcccYYYRRRSSSYYYXXXVVVVVV[[[dddlllrrrttt{{{sssffffffzzzyyytttrrrvvvxxx|||dddNNN@@@666000/////////.........------...---,,,,,,,,,---......++++++++++++++++++++++++,,,++++++******++++++,,,,,,***((()))***+++***)))******++++++++++++******))))))))))))************((((((((()))******++++++************************))))))))))))******************))))))))))))xxxdddooo}}}~~~sssllleeemmmwww}}}rrr^^^OOOGGG===666555555444222333333333333333333333333000111222444777<<>>>>>===AAAGGGJJJJJJMMMRRRTTTaaayyynnn^^^ZZZYYYXXX]]]eeefffddddddgggmmmqqqrrrqqqrrryyyjjj]]]VVVZZZnnnxxxsssoooqqqwwwwww___MMM===222////////////............+++,,,,,,------.........---------,,,+++++++++***,,,++++++******++++++,,,,,,+++))))))+++,,,+++*********++++++++++++******((()))))))))************'''(((((()))******++++++************************))))))))))))******************))))))))))))vvvsssfffYYYmmm|||uuutttjjjpppwwwoooRRRIII===666555555444222333333333333333333333333000111222444888===DDDIIIIIILLLPPPVVV[[[^^^^^^]]][[[___^^^ZZZbbbzzzvvv___ZZZbbbqqquuu___UUUMMMBBB<<<>>>======BBBIIILLLMMMPPPUUUUUUfffnnnbbb```jjjrrrtttyyyttt___ZZZ]]]fffyyy~~~wwwppprrryyylllWWWCCC444000/////////............***+++,,,---...///......//////...---,,,,,,++++++,,,++++++++++++++++++,,,---+++******+++,,,,,,+++******++++++++++++******(((((())))))*********+++'''(((((()))***+++++++++************************))))))))))))******************))))))))))))qqqqqqjjj]]]aaaggg|||nnnhhhpppZZZJJJ;;;777888777444222555555444333333333333444555222111555<<>>999555555666555555444333333333333444444222222666===DDDHHHJJJLLLOOOSSSYYY]]]^^^]]]\\\\\\[[[YYY^^^rrr|||hhhffflllyyyttt___MMMGGGCCC===<<>>CCCBBBGGGKKKNNNSSS```qqqyyytttpppttt~~~{{{qqqxxxsssooojjj]]]NNNIIIFFFJJJRRRfffwwwxxxuuurrruuu}}}vvvaaaNNN<<<555///000111000///000........................------------------------,,,,,,,,,,,,,,,,,,,,,,,,************************+++***))))))***+++***))))))))))))))))))))))))))))))))))))))))))******++++++******)))))))))))))))$$$,,,///+++&&&(((---000,,,,,,+++++++++***pppbbb||||||www]]]LLLMMM\\\kkk~~~lllhhhmmm~~~nnnpppzzztttfffUUUIII@@@999777999555555444333333333333444333444666999>>>DDDGGGIIIKKKPPPVVV[[[]]][[[YYYXXX\\\ZZZ^^^pppiiieeemmmiiiXXXLLLBBB???@@@@@@BBBGGGHHHLLLNNNOOOUUUfffuuussszzzrrrgggmmm{{{zzzrrrooogggUUUEEEAAADDDJJJQQQkkkvvvhhhhhhmmmwwwvvvssszzzrrrooouuu{{{fffQQQAAA777000///000//////000........................------------------------))))))))))))))))))))))))************************+++***))))))++++++***))))))))))))))))))))))))))))))))))))))))))******++++++******)))))))))))))))***+++)))%%%'''---000///+++++++++*********llleeezzzfffRRRMMMQQQ^^^jjjlllooo|||xxxxxx|||xxxtttyyyuuudddSSSJJJEEE>>>888555555555444333333333333444333555888<<<@@@DDDGGGIIIKKKPPPXXX\\\\\\[[[YYYXXXZZZYYYaaayyyjjjeeeiiiyyywwwbbbPPPGGG@@@>>>@@@BBBEEEHHHKKKNNNQQQSSS\\\sss}}}|||{{{zzz}}}uuunnnkkkpppyyy}}}vvvqqqhhhZZZIII>>>>>>BBBJJJRRRnnnrrrqqqpppnnnooottt|||ttt___TTTXXXaaahhh~~~xxxzzzrrrqqqzzzpppYYYGGG;;;000...///.................................------------------------))))))))))))))))))))))))************************+++***)))***+++,,,+++))))))))))))))))))))))))))))))))))))))))))******++++++******))))))))))))))),,,444999555000......---))))))))))))((((((|||nnnnnn}}}uuuSSSIIIMMMTTT___jjjwwwjjjwww~~~tttmmmooovvvzzzzzzyyywwwwww~~~zzzhhhTTTKKKGGGAAA999444555555444333333333333444222555:::>>>AAADDDGGGIIILLLRRRYYY]]]\\\[[[ZZZ[[[XXXZZZggg{{{___]]]eeezzzxxxkkkWWWGGGCCC>>>===???CCCFFFHHHKKKPPPWWWaaaqqqvvvyyygggjjjpppwww~~~zzzxxxvvvppp```MMM@@@<<<;;;???KKKYYYuuu}}}uuutttsssxxxxxxeeeeeeccc^^^ZZZZZZ^^^ccckkklllhhh^^^UUUWWWdddqqq}}}|||sssrrrvvvyyyaaaNNN@@@222...///...------........................------------------------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,*********+++,,,+++***)))))))))))))))))))))))))))))))))))))))******++++++******)))))))))))))))'''===OOOJJJ777***)))---))))))((((((((('''wwwmmmsss}}}bbbGGGGGGPPPXXXeeettt{{{mmmmmm}}}|||```\\\___gggllllllmmmoooxxxpppppp{{{sss]]]OOOFFF>>>999888555555444333333333333444222666<<<@@@BBBDDDGGGIIIMMMSSSZZZ]]]\\\[[[\\\___\\\```sssiii___^^^hhh}}}xxxiii]]]KKK@@@???======@@@EEEIIIKKKNNNVVVeeewwwyyygggeeewww|||}}}~~~aaahhhsss~~~wwwvvvsssjjjWWWDDD===???===BBBSSSiiippphhhiiieeeoooxxxqqqssssssooogggaaa```aaabbb^^^XXXSSSWWWggg~~~zzzzzz~~~vvvtttyyy}}}iiiVVVFFF666000000000..............................------------------------------------------------++++++++++++++++++++++++,,,+++******,,,,,,+++***)))))))))))))))))))))))))))))))))))))))******++++++******)))))))))))))))'''888EEEAAA333***)))+++))))))))))))((((((ooogggpppuuusss|||sssWWWEEEJJJUUU]]]nnn~~~sssggguuusss___VVVVVVZZZ``````___dddmmmmmmfffiii|||~~~fffSSSDDD::::::===555555444333333333333444111666===AAABBBDDDGGGIIIMMMSSSZZZ]]]\\\[[[^^^aaaaaahhh~~~ppp___cccllluuummm```VVVEEE>>>???>>>>>>BBBIIINNNOOOSSS^^^qqqggg___^^^rrryyy{{{wwwccckkkvvvsssooojjj```NNN>>>;;;AAADDDHHH]]]xxxqqqlllqqqppp}}}}}}wwwvvvnnnfff[[[WWWaaaxxxssskkkllltttyyy{{{{{{www|||rrr[[[JJJ999222222111//////........................------------------------++++++++++++++++++++++++++++++++++++++++++++++++,,,+++******,,,,,,+++***)))))))))))))))))))))))))))))))))))))))******++++++******))))))))))))))),,,***&&&%%%)))///---'''************))))))ooodddhhhsss}}}xxxlllyyy^^^TTTOOOSSSXXXccczzztttkkkmmm|||{{{cccXXX[[[WWWSSSQQQSSSWWW[[[bbbjjjnnnccceeejjj|||lllTTTEEE>>><<<<<<777666555444333444555555555999===AAADDDFFFHHHJJJKKKYYY]]][[[\\\ZZZYYYbbbeee}}}fff___gggffflll\\\LLLBBB>>>@@@BBBDDDFFFJJJOOOSSSSSSkkk~~~nnn___aaagggsssxxxmmmbbbiiiooozzz~~~hhhiiirrrsssfffjjjiii]]]KKK???>>>CCCAAANNNlll~~~xxxwww~~~}}}~~~nnncccTTTOOO]]]zzzooopppqqqrrrtttzzz|||iiiRRR;;;222111//////000---------.........//////,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,******+++++++++,,,,,,,,,*********))))))))))))(((*********************************)))))))))))))))++++++************+++++++++++++++***************)))))))))))))))***lllbbbdddsssxxxrrriiizzzXXXOOOLLLSSS\\\jjjtttqqquuu{{{iiiVVVNNNOOOMMMKKKLLLQQQVVV\\\hhhsssxxxddd\\\aaaiiivvv[[[HHH===::::::777666555444333444555555555999===AAADDDFFFIIIKKKLLLWWWYYYXXX\\\[[[\\\fffxxxyyy^^^\\\hhhtttvvvdddUUUHHH@@@@@@BBBDDDEEEFFFIIIOOOSSS___yyywwwwwwzzz|||dddSSSdddxxx{{{~~~ttttttpppYYYQQQWWWZZZbbbpppuuu~~~yyyeeekkkxxx|||lllfffjjjjjj^^^KKK???>>>BBBGGGYYYxxx|||www}}}~~~yyypppkkkjjj^^^[[[VVVTTT\\\ssssssggglllssswwwzzz{{{pppYYYAAA555000---,,,------------.........//////,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,++++++++++++++++++++++++++++++*********)))))))))************************************))))))))))))))))))(((((((((((())))))******************++++++))))))))))))))))))}}}iii```aaaqqqqqqhhhdddxxxyyyZZZRRRNNNVVVcccuuu|||uuuvvv}}}~~~~~~uuucccRRRIIIFFFDDDCCCEEEJJJPPPUUU^^^pppsssaaa^^^hhhrrrhhhOOO???;;;;;;777666555444333444555555666999===AAACCCFFFIIIKKKMMMUUUVVVVVV]]]^^^___iiimmm\\\eeexxxkkkYYYKKKCCC???@@@CCCFFFHHHIIIMMMTTTYYYpppvvvmmmiiisssnnnZZZUUUrrrtttvvvnnnhhhjjjdddccciiijjj```OOOLLLSSSTTT\\\hhhmmmmmmkkkuuuqqqbbbnnnooo```bbbhhhiii^^^LLLAAAAAAFFFKKKeeewwwssstttjjjhhhjjjjjjkkkmmmmmmrrrwwwwwwxxx~~~iiidddpppyyydddKKK:::222...---------------...............------------------------,,,++++++******++++++,,,++++++++++++++++++******,,,+++++++++************************************************************))))))(((((((((((()))))))))))))))***+++++++++,,,))))))))))))))))))zzziii``````llliii```]]]ppptttfff\\\VVV\\\kkk}}}wwwyyyxxxvvvgggQQQEEEEEEFFFBBBBBBFFFLLLQQQUUU___tttrrrccceeetttwwwXXXDDD>>>>>>777666555444333444555555777:::>>>AAACCCFFFIIILLLNNNUUUUUUXXX```___```jjj~~~eee```wwwttt```OOOCCC>>>>>>???CCCHHHJJJMMMTTT^^^eeekkkhhhjjjnnniii[[[dddmmmppp}}}hhh]]]YYYPPPQQQ]]]bbbbbbWWWZZZcccfffooo|||uuuooouuu}}}iiiaaasssyyydddWWW^^^eeehhh^^^MMMBBBDDDKKKKKKnnnpppooo|||iiiaaa[[[^^^jjjxxx{{{iiijjj{{{~~~~~~lllSSS@@@666111111111................................................,,,++++++******++++++,,,++++++++++++************,,,,,,,,,+++++++++******************************)))***************++++++++++++************++++++(((((()))***+++,,,,,,,,,)))))))))))))))(((|||kkkaaaaaafffbbbYYYVVVeeexxx}}}uuulllbbbZZZ```ssszzzzzz~~~tttooo___JJJBBBGGGHHHCCCFFFIIIOOORRRUUU___vvvqqqffflll~~~aaaJJJ@@@>>>777666555444333444555555888:::>>>AAACCCFFFJJJMMMOOOVVVXXX]]]ccc______kkkqqq^^^ddd|||lllXXXHHH???===>>>@@@DDDHHHKKKNNNWWWeeeppprrrdddlllxxxmmmdddmmmiiimmmhhhYYYSSSLLLQQQccclllqqqiiioooyyy}}}uuuaaa```uuuvvvddd[[[^^^fffiii^^^LLLAAAEEEMMMTTT|||mmmrrrwwwmmmkkk___]]]]]]fffxxxmmmppp}}}|||nnnXXXCCC777333333333.....................---........................,,,++++++******++++++,,,************************,,,,,,,,,+++++++++******************************))))))******+++++++++,,,++++++************++++++(((((()))***+++,,,,,,,,,))))))))))))((((((}}}jjjaaacccaaa\\\SSSPPPZZZjjjttttttfff___[[[eee|||zzz{{{~~~uuujjjXXXIIIDDDGGGGGGDDDIIIKKKPPPTTTXXXddd}}}yyyrrr{{{jjjPPPBBB<<<777666555444333444555555999;;;>>>@@@CCCFFFKKKNNNPPPXXX[[[```ddd^^^aaarrrhhh]]]hhhtttcccQQQDDD???>>>???BBBFFFJJJLLLPPP\\\mmm{{{wwwrrr}}}wwwrrrvvv{{{eeellleeeTTTPPPNNN\\\rrrmmmZZZ```ttttttgggbbb^^^fffhhh]]]JJJAAAGGGRRRiiioooxxxuuuddd^^^aaa\\\bbbkkkxxxmmmqqq|||rrr^^^GGG888444333111...............---------------------------------,,,++++++******++++++,,,)))))))))*********++++++,,,+++++++++************************************))))))******+++,,,,,,,,,))))))(((((((((((()))))))))))))))***+++++++++,,,***))))))(((((('''|||ddd^^^ddd^^^VVVMMMKKKSSS```iiilll___]]]___nnn{{{||||||yyy|||tttbbbOOOFFFEEEEEEFFFGGGKKKMMMQQQXXXbbbsss|||vvvZZZFFF<<<777666555444333444555555999;;;>>>@@@CCCFFFKKKNNNRRRYYY\\\```bbb]]]eee}}}wwwdddeeewwwxxxkkkYYYIIIBBB@@@@@@@@@CCCGGGLLLOOOWWWggg~~~vvv```jjj~~~bbbQQQRRRZZZqqqzzzdddSSSccctttyyyiii```^^^VVV^^^cccYYYJJJFFFQQQ___qqq{{{wwwrrrpppnnndddXXX[[[fffkkkxxxooowww{{{hhhOOO===555222/////////.........---------,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,''''''((()))***+++,,,,,,++++++*********)))))))))************************))))))***++++++,,,------))))))(((((((((((())))))******************++++++***))))))(((''''''zzz```ZZZccc]]]SSSHHHHHHQQQ[[[bbbccc]]]^^^eeewwwxxxkkkuuuzzzxxx|||qqqZZZFFFCCCEEEDDDGGGLLLMMMNNNTTT^^^lllqqqbbbKKK???777666555444333444555555:::;;;>>>@@@CCCFFFKKKOOOSSSZZZ\\\___```\\\jjjkkkcccpppssseeeRRRDDD@@@@@@AAAAAABBBGGGNNNTTT___tttqqq\\\hhhcccUUU[[[kkkuuu___OOOggguuu~~~mmm[[[SSSRRRKKKUUU\\\VVVKKKKKK[[[lllrrr|||lllfffbbb```YYYSSS^^^ooorrr~~~xxx}}}sssWWWBBB888333...//////.........---------,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++,,,&&&&&&''')))***+++,,,---*********))))))))))))(((************************))))))***+++,,,,,,------++++++************+++++++++++++++******************))))))((('''&&&sssYYYTTT[[[ZZZNNNGGGJJJMMMPPPYYYdddaaadddkkk|||tttaaabbb}}}sssmmmxxxeeeVVVHHHCCCDDDEEEHHHLLLMMMPPPWWWeee~~~vvvfffKKK===777666555444333333444555999<<<@@@AAAAAACCCHHHLLLYYYYYYaaafff]]]VVVkkksssbbbnnngggWWWFFF@@@@@@BBBDDDGGGJJJPPPNNNVVVuuuyyyaaaYYYkkkcccUUUnnn}}}hhhZZZUUUggg}}}pppVVVJJJHHHEEEHHHNNNSSSQQQKKKQQQhhh{{{mmmuuu|||www[[[TTTPPPRRRXXXdddzzz{{{pppzzzjjjppp{{{dddKKK;;;222.........---------......///------------------------+++,,,,,,,,,,,,+++******++++++++++++++++++++++++++++++++++++++++++++++++************)))))))))))),,,+++*********+++------+++++++++*********))))))***)))))))))+++,,,+++***---,,,+++***))))))rrrZZZWWW^^^\\\PPPGGGIIILLLOOOYYYddddddgggpppmmm___eeeoookkkxxxbbbTTTGGGCCCDDDFFFIIIMMMOOOTTT]]]lll}}}www{{{kkkOOO???999888666555444555555666999<<<@@@BBBBBBDDDHHHKKKVVVXXX___ddd]]][[[tttlllddduuuxxxbbbSSSDDD???@@@BBBDDDGGGJJJQQQQQQ\\\}}}|||uuu___XXXiiiiiiaaa{{{yyydddWWWUUUkkkmmmRRRGGGEEECCCGGGMMMTTTUUURRRYYYpppyyykkkrrruuunnnRRRLLLJJJSSSbbbttt}}}qqqtttgggqqq~~~~~~iiiPPP???555///.........------......///------------------------+++,,,,,,,,,,,,+++******++++++++++++++++++++++++++++++++++++++++++++++++************))))))))))))***)))((((((((()))***++++++++++++*********))))))***)))))))))+++,,,+++***,,,+++***)))((((((qqq\\\[[[bbb___RRRHHHHHHLLLPPP[[[hhhkkkooozzzvvvddd```mmmpppqqq}}}^^^QQQEEEBBBDDDGGGJJJNNNOOOVVVcccuuuvvvttttttUUUAAA;;;:::888666555666777777999===AAACCCCCCDDDGGGJJJSSSVVV]]]```[[[aaatttcccfff~~~mmmZZZMMMAAA>>>@@@BBBEEEHHHKKKSSSWWWgggsssgggpppxxxzzz~~~{{{wwwxxxyyywwwjjjZZZVVVhhh}}}nnnjjj}}}{{{wwwbbbYYYYYYssshhhLLLBBBBBBAAAFFFLLLUUU\\\___iiiuuugggkkkiii___JJJFFFJJJ\\\uuu}}}rrroooffftttpppWWWFFF:::222//////......---......///------------------------+++,,,,,,,,,,,,+++******++++++++++++++++++++++++++++++++++++++++++++++++++++++*********)))))))))))))))(((((())))))***++++++++++++******************)))))))))+++,,,+++***+++***)))(((''''''nnn]]]^^^eee```RRRHHHHHHMMMSSSaaaooouuuzzzjjj```gggyyyzzzYYYMMMCCCBBBEEEHHHLLLPPPNNNYYYhhh{{{}}}~~~~~~]]]DDD<<<;;;888666555555777888999===BBBDDDDDDDDDGGGJJJPPPUUU[[[\\\ZZZhhhyyyddd[[[hhhyyybbbQQQGGG???>>>AAACCCGGGJJJLLLXXXaaauuutttaaaUUUaaa}}}|||yyytttqqqnnnkkkhhheeeiiiiiifff]]]RRRTTThhh~~~pppjjjuuu{{{rrrjjjjjjhhhfffiiisssvvveee```bbb{{{cccFFF===??????GGGMMMYYYeeeooo|||mmm___```[[[PPPJJJKKKVVVppptttggglllvvv{{{rrrnnnjjj{{{xxx```NNN???444000//////...............------------------------+++,,,,,,,,,,,,+++******+++++++++++++++++++++++++++++++++++++++++++++++++++++++++*********))))))+++++++++++++++,,,,,,,,,***************************)))))))))+++,,,+++***+++***)))(((((((((jjj]]]```fff___QQQFFFHHHNNNWWWgggvvvzzzddddddrrrwwwUUUKKKBBBBBBGGGJJJNNNQQQRRR^^^pppgggJJJ===;;;888555444444666777888===AAACCCDDDEEEIIILLLPPPWWW\\\ZZZ\\\qqqddd[[[ZZZnnnmmmVVVIIIBBB>>>@@@CCCFFFIIIMMMPPP```ooogggWWWMMMWWWmmm|||zzz~~~zzzlllbbb\\\\\\^^^______\\\XXXSSSPPPXXXnnn|||nnngggnnnsssooommmppp}}}vvvjjjhhhlll___BBB;;;>>>???HHHNNN\\\mmm}}}cccUUUTTTOOOEEELLLUUUiiizzzzzzzzzsssfff[[[UUU```ppp~~~xxxpppqqqjjjVVVDDD777111000///...............------------------------+++,,,,,,,,,,,,+++******++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++******************++++++,,,,,,,,,,,,***************************)))))))))+++,,,+++***++++++***)))))))))}}}fff\\\___ddd\\\NNNEEEGGGOOOYYYiiiyyysssccckkkoooTTTJJJBBBDDDIIILLLOOORRRYYYggg{{{}}}rrrxxx|||zzz{{{{{{{{{uuuTTT>>>;;;888555333444666777999<<<@@@BBBCCCFFFKKKPPPQQQYYY]]]\\\ccc{{{{{{XXXXXX^^^wwwzzzeeeQQQDDD@@@>>>BBBFFFHHHLLLPPPWWWmmmaaaSSSJJJQQQ___mmm}}}~~~|||kkk]]]WWWXXX]]]```YYYVVVUUUUUUXXXcccxxxvvvjjjeeeppp}}}wwwqqqpppsss]]]AAA;;;@@@AAAIIINNN]]]ssszzz[[[KKKKKKIIICCCPPPaaa{{{zzzqqqiiiccc\\\TTTNNNMMMTTTdddyyyooovvvttt^^^III:::111111000///............------------------------+++,,,,,,,,,,,,+++******++++++++++++++++++++++++++++++++++++++++++++++++,,,++++++++++++*********(((((()))************)))***************+++++++++***)))))))))+++,,,+++***++++++************zzzzzz}}}wwwwww~~~~~~bbbZZZ]]]```YYYLLLCCCEEEMMMWWWgggwwwqqqeeeqqqlllSSSJJJCCCEEEJJJMMMPPPSSS^^^nnnnnn]]]dddhhhjjjsss}}}{{{```@@@===999666444555777999999;;;???@@@BBBFFFNNNSSSRRRZZZ___```kkkqqqWWWXXXddduuu^^^PPPBBB???@@@EEEIIIKKKNNNRRR___zzzzzz^^^PPPHHHNNNYYYdddwwwpppbbbZZZYYYZZZ\\\VVVVVVYYY```hhhsssooodddbbbnnn~~~|||zzzyyyzzz]]]BBB===BBBDDDHHHMMM\\\tttvvvVVVEEEDDDGGGFFFXXXnnnnnncccXXXPPPIIIEEEGGGNNN[[[nnnuuujjjvvv}}}}}}gggOOO???222111000///............------------------------+++,,,,,,,,,,,,+++******++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,+++++++++*********'''((()))***+++******)))))))))*********+++++++++***)))))))))+++,,,+++*********))))))))))))~~~~~~vvvqqqwwwuuusssvvv|||{{{```XXX\\\^^^XXXKKKBBBDDDKKKUUUdddtttqqqgggtttoooSSSJJJDDDFFFKKKNNNPPPSSS```qqqwwwaaaSSSZZZ___dddqqqiiiBBB???;;;777555666888:::999;;;>>>???AAAGGGOOOVVVRRR[[[aaadddrrrmmmZZZXXXhhhmmmVVVLLLAAA???AAAGGGKKKLLLOOOSSSeeesss]]]NNNGGGNNNZZZfffzzzuuuhhh^^^XXXUUUSSSVVVXXX___jjjuuujjj```\\\ggguuu|||~~~]]]CCC???DDDFFFGGGLLL[[[tttuuuTTTAAABBBHHHJJJaaaxxx}}}lll```UUUJJJFFFCCCBBBHHHPPP^^^sssllleeeuuuyyy}}}lllTTTBBB222222000///............------------------------+++,,,,,,,,,,,,+++******++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,+++++++++******)))***+++,,,---,,,++++++))))))******++++++++++++***)))))))))+++,,,+++***))))))(((((((((((({{{{{{{{{vvvnnnlllqqqyyy}}}wwwnnnrrrzzzuuu\\\YYY\\\ZZZQQQHHHCCCHHHNNNTTT```nnn}}}ssssssjjjXXXNNNFFFFFFIIIMMMRRRXXXiii~~~ppp]]]MMMWWW\\\hhhtttLLL===:::;;;555444999888:::;;;<<<>>>AAAHHHPPPVVVYYY]]]```hhh~~~___TTT\\\xxxuuueeeRRRCCC@@@CCCCCCFFFJJJEEEGGGXXXkkkdddTTTTTTNNNRRRbbbmmm{{{tttgggaaa___\\\bbbbbb```lllwwwvvvyyy~~~{{{vvvUUU@@@AAAEEEBBBEEESSSccctttyyyttt}}}uuuNNNBBBFFFMMMVVVnnnsssfff[[[SSSGGG===>>>CCCEEEIIIOOO]]]xxxvvvgggjjjwwwlll~~~nnnXXXGGG555111///000///------000...---,,,+++***+++,,,---,,,,,,,,,,,,,,,+++***))))))))))))))))))))))))))))))************++++++++++++,,,,,,+++)))((()))***((()))))))))************************************)))************++++++++++++******)))((('''}}}{{{|||{{{tttqqqrrrqqqooorrrqqqYYYWWW[[[[[[QQQIIIDDDIIIMMMSSS```ooo}}}}}}hhhUUUMMMGGGGGGKKKNNNSSSYYYggg~~~hhhTTTUUUdddnnn~~~|||RRRAAA;;;===666444999888:::;;;===>>>BBBGGGNNNSSSYYY\\\aaaooowww]]]WWWcccppp```OOOBBB@@@EEEEEEHHHMMMIIINNN```{{{zzz^^^XXXYYYRRRTTTgggxxxtttmmmkkkiiiqqqpppkkkppp~~~sssRRR>>>???DDDCCCHHHUUUeeeuuuzzzvvvQQQEEEFFFOOO^^^jjj^^^ZZZVVVLLLBBB<<<===BBBGGGOOOWWWkkkrrrdddhhhuuuzzzwww```NNN555111...//////------000...---,,,+++++++++,,,,,,,,,,,,,,,,,,,,,+++***)))************************)))************+++++++++***+++,,,+++))))))***+++************++++++++++++************************)))************+++++++++******))))))((((((~~~{{{~~~zzzvvvtttkkkdddjjj|||lllVVVUUU[[[\\\PPPIIIFFFIIIMMMRRRaaarrrzzzfffRRRKKKFFFHHHLLLOOOUUUZZZfff}}}eeeRRRZZZooo[[[FFF===>>>777555999888:::<<<>>>@@@BBBFFFKKKOOOYYYZZZbbbwwwkkkZZZ\\\iiizzziiiYYYKKKAAABBBFFFFFFJJJPPPOOOWWWkkknnn[[[aaacccXXXUUUlll}}}uuussssssyyy{{{tttqqqvvvyyyzzz}}}pppQQQ======CCCCCCJJJXXXiiiwwwuuuSSSGGGGGGUUUmmmoooVVVMMMLLLMMMAAA===;;;===BBBKKKYYYddd~~~{{{{{{zzzlllaaahhhuuu|||eeeSSS777222...//////------000...------,,,+++,,,,,,,,,++++++,,,,,,,,,+++******++++++++++++++++++++++++)))************+++++++++)))***++++++***)))***,,,***++++++++++++,,,,,,,,,************************)))************+++++++++))))))))))))))))))}}}|||rrreeeaaaiii|||iiiVVVUUU[[[]]]PPPIIIFFFJJJMMMSSScccuuuwwwcccMMMHHHFFFIIILLLOOOUUU\\\gggjjjZZZbbb~~~bbbIII===>>>888666999999:::<<>><<>>EEERRRdddsss}}}vvvfffcccqqq}}}yyydddSSS;;;444......///------///......------,,,,,,,,,,,,++++++,,,,,,,,,++++++***++++++++++++++++++++++++))))))*********+++++++++((()))++++++******+++---*********+++++++++,,,,,,************************))))))*********+++++++++))))))))))))))))))zzznnnaaa\\\eeewww}}}fffWWWWWW]]]___QQQIIIFFFIIIMMMTTTddduuurrr]]]KKKGGGFFFIIILLLOOOVVV^^^lll}}}mmmeee{{{jjjLLL<<<>>>:::777:::;;;:::<<>>???<<<888;;;<<<:::<<<>>>@@@CCCHHHMMMRRRYYYYYYiii~~~]]]^^^ooo}}}jjjYYYMMMFFFCCCDDDIIIHHHKKKSSSZZZmmmooosssoooaaarrr|||vvvhhhfffpppyyy|||wwwzzzsss\\\FFF>>>BBBGGG[[[rrr^^^HHHPPPbbb}}}~~~bbbMMMBBB???;;;777:::???BBBFFFRRRiiitttjjj{{{}}}yyyxxxkkkaaaGGG<<<222///000...---...---............---,,,,,,******+++,,,,,,,,,++++++++++++++++++++++++++++++)))************+++++++++)))***++++++***)))***,,,(((((()))))))))*********************************)))************+++++++++******************yyyqqqoooooouuuyyymmm[[[TTT[[[gggoooaaaRRRGGGIIIOOOTTT___jjj}}}{{{nnn___VVVPPPMMMKKKLLLNNNRRR\\\fff{{{ssstttxxxzzz~~~}}}ZZZBBBCCC>>>888:::<<<:::;;;===@@@DDDJJJQQQVVVZZZ\\\pppvvvZZZaaatttxxxdddUUUKKKEEEBBBEEEJJJJJJNNNXXXbbbzzzvvv}}}iii```qqqrrr|||zzzcccXXXZZZhhh{{{qqq|||yyynnnsssooo]]]HHH???BBBGGG[[[uuu~~~~~~|||[[[JJJYYYrrruuu]]]III===999999:::<<>>AAAHHHUUUrrr}}}sssssswwwxxx\\\MMMaaa|||xxxmmm^^^NNNAAA::::::>>>===BBBFFFLLL```yyyyyyxxxlllQQQCCC666222111///---,,,---.../////////...,,,,,,)))***+++,,,,,,,,,,,,,,,)))))))))))))))))))))))))))************++++++++++++,,,,,,+++)))((()))*********+++++++++,,,,,,,,,************************)))************+++++++++,,,,,,,,,+++***)))uuu___TTTUUU```ppp}}}oooUUUEEEKKKRRRTTT]]]lll~~~jjj\\\XXXRRRUUUUUUQQQOOOXXXiiiwwwzzz}}}sssMMM<<<999999888888888999<<<===AAAIIITTT\\\___cccddd]]]pppttt```RRRJJJGGGEEEGGGKKKJJJOOO```rrrnnn]]]]]]jjjyyyeeetttmmmVVVNNNUUUhhh|||~~~zzzbbb[[[bbbhhhcccRRRBBB@@@FFFRRRjjj|||uuuqqqooovvvooo^^^^^^pppooogggZZZLLL???888:::AAADDDFFFIIIPPPeee}}}oooooo|||xxxzzzqqqWWWJJJ999000///000///,,,...------,,,,,,------.........---,,,,,,+++******************************,,,,,,,,,,,,,,,+++***))))))************++++++++++++***))))))***+++...///************************...,,,++++++------,,,***---,,,,,,+++******ooo[[[TTTZZZfffuuuuuu]]]LLLNNNTTTVVVaaaooovvvdddXXXVVV[[[[[[ZZZWWWXXXbbbsssUUU@@@<<<<<<;;;999999;;;===???BBBJJJUUU]]]```hhhdddaaawwwrrr\\\LLLEEECCCCCCGGGLLLLLLTTThhh{{{tttiiigggmmmuuu}}}bbbooo~~~uuu```SSSWWWeee|||nnnVVVWWW```iiieeeTTTDDDCCCKKKOOOccc{{{{{{wwwssspppuuukkk[[[aaauuuwwwllliii^^^LLL<<<888===CCCEEEGGGKKKTTTjjjyyykkkbbbjjj~~~yyywwwxxx}}}xxxttt~~~~~~rrr[[[MMM<<<111///000...,,,...------,,,,,,------.........---,,,,,,+++******************************++++++,,,,,,+++******)))************+++++++++++++++***))))))***+++---///***************************)))((()))***+++***)))---,,,++++++******{{{hhhWWWUUU___mmmzzzyyydddRRRRRRWWW\\\iiixxxyyylll]]]UUUVVV___^^^\\\[[[```lll}}}uuuaaaFFF>>><<<;;;:::999;;;>>>@@@DDDLLLWWW___```nnndddfffnnnVVVGGGBBBBBBDDDGGGMMMPPP[[[ssszzzuuurrroooooowww___hhhrrrnnnnnnuuuvvvggg[[[\\\eeewww{{{cccMMMSSS^^^jjjiiiXXXIIIHHHPPPVVVeeewww~~~yyyzzzwwwsssxxxnnnaaaqqqxxxppprrrrrreeeMMM<<<<<>>222///000...,,,...------,,,,,,------......------,,,,,,++++++******************************++++++++++++***))))))************+++++++++,,,+++******)))***+++---...************************)))(((''')))***,,,+++***,,,,,,+++*********wwweeeUUUUUUbbbppp{{{yyyhhhWWWSSSXXXbbbrrrqqqcccXXXTTTVVVXXXVVVVVVXXXaaapppzzzgggyyymmmMMM===888888999999;;;===???CCCLLLWWW______pppzzzeeellljjjTTTGGGCCCEEEGGGHHHNNNRRRbbb}}}xxxrrrooojjjgggooo{{{zzz]]]bbbzzz{{{fffbbbZZZ^^^eeeooowwwxxxqqqhhh```aaaiiizzz~~~}}}vvv```MMMRRR___mmmmmm^^^MMMLLLSSSeeesss~~~{{{www}}}sssmmmtttqqq~~~yyyeeeIII;;;@@@FFFFFFFFFKKKTTTccc||||||qqqpppzzzvvvvvvmmmqqq{{{vvv}}}sssaaaRRR???222///000///---...------,,,,,,------...---------,,,,,,+++++++++*********************************++++++***))))))*********+++++++++,,,,,,++++++*********+++,,,---************************+++******+++...//////...++++++************|||{{{|||zzz{{{||||||vvvdddTTTUUUbbboooyyy}}}qqq```WWWXXXddduuu{{{iii[[[RRRQQQSSSMMMOOOQQQXXXcccrrrwww___nnnxxxUUU>>>555777;;;777:::<<<>>>CCCKKKVVV___^^^ooosssfffsssiiiUUUHHHDDDEEEGGGHHHNNNTTTfff}}}wwwiii___]]]\\\[[[dddqqqppp\\\```wwwzzzccc^^^UUURRRSSSYYYbbbggggggfff^^^bbbnnnxxxzzz}}}sss^^^PPPUUUaaaoooqqqdddSSSNNNRRRjjjyyy~~~www|||tttvvv|||pppvvvyyy\\\BBB:::@@@DDD@@@IIIQQQ^^^nnnxxxzzzzzznnnnnn~~~yyyyyyuuudddTTT@@@222///000000///...------,,,,,,------...------,,,,,,,,,,,,++++++************************)))******+++++++++*********++++++++++++,,,,,,,,,++++++++++++++++++,,,,,,************************,,,,,,+++---///000000///*********))))))***yyykkk]]]YYY\\\cccmmmuuuvvveeeVVVUUU```nnnzzzppp```\\\gggwwwtttbbbTTTMMMLLLMMMJJJPPPXXX```jjjwww|||{{{}}}www]]]gggZZZ@@@777:::===777999<<<>>>CCCKKKWWW___^^^nnnjjjgggzzzjjjUUUHHHCCCCCCEEEIIIPPPVVVkkkyyyvvvxxxjjjWWWIIIIIIKKKNNNYYYhhhyyygggXXX```xxxiii```SSSJJJDDDGGGNNNSSSWWWZZZXXX```rrr{{{qqqvvvyyymmm[[[OOOXXXbbbpppuuujjjZZZQQQPPPaaassstttwwwzzzwwwsss~~~sssVVVDDDBBBFFFGGGDDDPPP]]]mmm~~~tttkkkvvvssskkkvvv~~~zzz~~~~~~{{{iiiXXXBBB444000111111000...------,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,******************************+++,,,,,,,,,,,,+++++++++++++++,,,,,,,,,,,,++++++++++++++++++++++++************************+++******+++---...---,,,***))))))))))))***qqqaaaOOOIIILLLVVVcccooottteeeVVVUUU___ooollleeeooo}}}ppp___RRRLLLJJJJJJNNNXXXeeennnuuu}}}zzzuuuvvvuuuZZZaaa~~~XXX@@@:::<<<<<<888:::===???DDDMMMXXX```___mmmrrrccciiihhhQQQDDDAAADDDGGGKKKQQQYYYppp~~~vvvvvvyyyaaaNNN@@@@@@CCCFFFTTTfffwwweeeRRRaaa|||sssdddTTTHHH======AAADDDHHHMMMUUUaaawww|||nnnhhhooossshhhXXXPPPZZZbbbnnnvvvpppaaaTTTPPPZZZnnnsssuuurrrttt|||dddNNNJJJKKKIIIHHHKKKZZZkkkxxxqqqooojjj___bbbyyyxxxiiippp}}}yyyqqq___HHH777111111111///...------,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,************************++++++,,,---------------+++++++++,,,,,,,,,------+++++++++,,,,,,++++++***************************+++)))))))))++++++***))))))))))))))))))***sssbbbPPPHHHJJJRRR___jjjrrrdddVVVUUU```qqqtttlllwww}}}ppp```TTTMMMKKKJJJSSS___oooxxx{{{yyyrrrqqqyyyrrrVVV[[[yyyRRR>>><<<;;;888999;;;>>>@@@EEENNNYYYbbb```nnnjjj^^^kkk~~~cccMMMAAABBBHHHMMMLLLRRR[[[sss|||wwwyyy|||^^^MMMAAABBBBBBCCCSSSiiizzzhhhMMMbbb{{{fffZZZLLLAAA@@@BBBBBBEEEJJJVVVccc{{{zzzpppccc___jjjoooeeeXXXRRRZZZaaammmwwwtttfffWWWQQQ\\\ooouuuvvv~~~}}}}}}uuukkkooo{{{gggQQQCCCHHHJJJCCCCCCKKKbbbuuulll[[[RRRPPPKKKXXXzzz|||iiimmm}}}~~~xxxeeeLLL:::222111000///...------,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,************************+++,,,------............++++++,,,,,,,,,---------++++++,,,,,,,,,++++++***************************,,,***)))***++++++***)))))))))((())))))***mmm\\\NNNJJJKKKOOO[[[iii~~~vvvcccUUUXXXeeeuuuttt|||{{{}}}|||ppp[[[PPPIIIJJJUUU```mmmzzz}}}xxx|||qqqXXXUUUuuu{{{TTT???;;;:::888;;;<<<>>>@@@EEEOOO[[[eee^^^{{{ccc___lllxxx___MMMGGGGGGHHHGGGMMMNNN___zzzvvvqqqlll]]]KKK@@@BBBFFFIIIWWWhhh{{{dddTTT___zzz|||mmm[[[III;;;<<>>111000000///------------------------******++++++,,,,,,+++++++++++++++,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,***+++++++++,,,,,,,,,,,,---,,,++++++******++++++***************************+++,,,---,,,+++***)))((())))))*********jjj[[[MMMLLLPPPXXXgggwwwwwweeeXXX___ppp~~~\\\OOONNNSSS]]]___eeehhhjjjppp~~~{{{xxx{{{mmmRRRLLLiiiaaaFFF<<<::::::999<<>>111///000///------------------,,,,,,++++++,,,,,,,,,,,,++++++***+++,,,------,,,+++***++++++++++++++++++++++++++++++++++++,,,------...---,,,++++++******++++++************************,,,,,,,,,,,,,,,+++***)))((()))************kkk[[[NNNLLLQQQZZZjjjzzzyyyfffXXX^^^ooodddQQQNNNVVVbbbfffnnnvvvzzz~~~{{{xxxvvv{{{sssVVVMMMeeeiiiJJJ<<<:::;;;999<<>>EEEQQQ```kkkwwwkkk___qqqsssZZZIIIFFFJJJOOOQQQbbbppp}}}hhhvvvoooPPPEEEAAAFFFJJJPPPddd{{{|||eeegggfffpppkkkbbbLLLAAA;;;???DDDGGGNNNWWWdddrrr~~~fffZZZdddtttyyybbbYYY___hhhwwwxxxeee___ZZZ```tttiii[[[\\\___eeeeee[[[oooyyysssrrrwww\\\[[[kkkuuuoooiiisss}}}|||```[[[aaaxxxxxx{{{www|||xxxssskkkXXXBBB333///...---///......---,,,,,,++++++---------------,,,++++++,,,++++++++++++++++++,,,************************,,,+++******+++...000111---,,,++++++******++++++************************+++++++++***++++++,,,,,,***************)))ooo^^^OOOLLLPPPYYYiiiyyyxxxbbbbbbqqqxxxfffiii{{{yyywww}}}wwwrrrpppttt{{{lllOOOHHHddd{{{SSS>>>:::<<<<<<===>>>@@@GGGTTTdddpppzzzlll```ssssssZZZIIIEEEJJJOOOQQQfffuuu~~~lll~~~mmmNNNDDD@@@EEEJJJPPPeee}}}}}}}}}hhhYYYJJJ@@@<<>>???GGGWWWgggooozzzkkkeeewwwpppVVVKKKHHHHHHMMMVVVdddyyy|||iiiyyysssUUUFFF@@@FFFIIINNNeeejjj\\\HHH@@@===BBBCCCCCCLLLZZZXXXhhhyyycccoootttooo}}}yyyccc[[[___lll}}}]]]XXXYYYiii{{{ggg\\\fffnnnjjjggglllrrrqqqwwwnnniii}}}rrr___[[[qqq~~~yyyrrr^^^ttt{{{qqqsssnnnkkk[[[CCC333000111///---------,,,,,,,,,++++++************************,,,,,,,,,,,,,,,,,,,,,,,,------------,,,+++******((()))***,,,---...//////---------,,,,,,+++++++++...---+++*********++++++***)))((()))+++,,,,,,+++))))))*********+++mmmXXXIIILLLSSSYYYiii||||||vvvpppwwwgggdddrrrooo\\\UUUWWW___lllvvv}}}uuuoootttwwwzzz}}}]]]OOOKKKfffYYYBBB???999888<<<>>>???GGGWWWfffmmmvvvrrrnnnnnnVVVKKKHHHHHHMMMUUUeeezzz{{{kkk{{{wwwWWWHHH@@@FFFIIIMMMccc~~~kkkZZZFFF???===CCCEEEFFFPPP]]]^^^nnnwwwhhhxxx}}}rrruuuyyycccZZZbbbnnn~~~pppeee```lllsssbbb\\\hhhqqqooonnnsss~~~tttrrrvvvrrrlll~~~nnn[[[YYYmmm}}}}}}qqqccctttssspppmmm]]]DDD333000000...---------,,,,,,,,,++++++************************,,,,,,,,,,,,,,,,,,++++++******++++++,,,+++++++++))))))+++,,,---.........+++++++++*********))))))---,,,+++*********++++++,,,+++***+++,,,---,,,+++))))))*********+++gggTTTGGGKKKSSS[[[kkk}}}}}}tttooovvviiicccnnnzzzpppcccVVVRRRUUU\\\fffooozzziiigggiiipppwww|||yyyzzz{{{uuupppvvvxxxzzz~~~ZZZKKKGGGccc\\\CCC===777999===>>>???GGGVVVdddjjjnnn{{{{{{lllTTTKKKIIIHHHMMMUUUggg|||zzzlll~~~|||ZZZJJJBBBHHHLLLPPPeeeeeeQQQCCC>>>>>>DDDGGGJJJSSS___cccrrr}}}xxxxxxwwwccc\\\gggrrrtttgggppp```UUUSSSaaallllllmmmrrr}}}yyywwwsssqqqtttyyy}}}uuuyyyzzztttkkkXXXXXXkkkxxx|||rrriii{{{vvvrrrooo^^^EEE333000000---------------,,,,,,,,,,,,++++++++++++++++++++++++------,,,,,,+++++++++***(((((()))***++++++++++++***++++++,,,,,,,,,,,,,,,+++++++++************)))---,,,+++*********++++++...,,,+++,,,------,,,+++)))))))))*********aaaQQQGGGKKKTTT^^^nnn~~~~~~nnneeemmmxxxzzzwwwfff]]]VVVVVVZZZ```hhhooo~~~yyyaaaXXXYYY]]]dddiiinnnxxx}}}wwwyyyzzz~~~{{{vvvrrrvvvwwwxxx|||}}}VVVHHHDDD^^^[[[CCC>>>888:::===>>>???HHHVVVccchhhhhhjjjTTTKKKIIIIIIMMMTTTiii~~~yyymmm___MMMEEEKKKPPPVVVkkkaaaJJJAAA>>>???DDDHHHMMMVVV```fffuuu~~~tttddd^^^kkkvvvyyyhhhqqqsssRRRIIIJJJXXXcccddddddhhhrrrmmmiiigggjjjpppyyymmmgggfffrrr~~~lllYYYZZZkkktttyyy|||ttt{{{~~~qqqnnn]]]DDD333000000......------------,,,,,,,,,++++++++++++++++++++++++------,,,,,,+++*********))))))***+++++++++++++++++++++,,,,,,,,,++++++***,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++...---++++++,,,,,,+++)))))))))))))))******]]]QQQHHHLLLVVVbbbqqq~~~rrrfffkkkssstttooo```ZZZXXX[[[```eeelllsss~~~iiiRRRQQQUUU^^^gggkkklllrrrzzz{{{~~~~~~~~~{{{wwwtttrrrssstttxxxvvvRRRFFFAAAWWWXXXAAA???<<<;;;======???HHHWWWbbbfffhhhiiiSSSKKKJJJIIINNNUUUlllxxxnnngggTTTHHHLLLQQQVVVjjjbbbJJJAAA@@@@@@DDDIIIOOOZZZcccmmm||||||www~~~pppddd___lllwwwwwwgggrrrmmmQQQHHHGGGRRR]]]______```ccceeeiiimmmttt{{{uuuYYYYYYeeezzznnn[[[ZZZiiirrrxxx}}}{{{}}}}}}zzzxxxooolll\\\CCC333000111............---------,,,,,,++++++++++++++++++++++++,,,,,,,,,++++++*********,,,,,,------,,,++++++***++++++,,,,,,++++++******,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++---+++******++++++***((())))))))))))))))))]]]SSSLLLOOOYYYfffsss~~~~~~wwwhhhgggmmmlllggg[[[XXXXXX]]]bbbgggooovvv~~~~~~|||fffQQQOOOVVVcccoootttuuuzzz~~~~~~|||xxxuuuoooooopppttt{{{~~~pppNNNFFF@@@OOOuuuWWWAAA@@@>>>:::<<<<<>>JJJYYYbbbdddooommmTTTJJJIIIIIIOOOWWWqqqwwwrrrxxx```MMMMMMQQQWWWmmmvvvwwwcccJJJCCCCCCCCCEEENNN\\\kkkttt|||```QQQSSSVVVbbbvvv~~~wwwnnnddd[[[fffrrrrrraaa___vvv___QQQGGGNNN]]]gggfffbbbggguuu~~~lllVVVeeezzzzzzsss```TTT```{{{{{{zzz~~~uuuyyyrrrnnnooosssvvvvvvsssbbbGGG555111000---............------------,,,,,,,,,,,,,,,,,,,,,,,,)))))))))***++++++,,,,,,++++++,,,,,,,,,++++++***)))******+++++++++******))))))*********+++++++++)))***+++,,,,,,,,,,,,++++++***)))***,,,,,,,,,*********))))))((((((```XXXRRRTTT^^^jjjvvv~~~tttqqqrrr{{{rrrhhhgggddd___XXXVVVWWW\\\bbbhhhqqq{{{}}}zzzccc```gggttt~~~~~~~~~~~~}}}zzzvvvrrrnnnmmmlllooozzz|||qqqvvvgggKKKIII@@@CCC]]]rrr\\\BBB===999999::::::>>>JJJYYYcccdddmmmnnnUUUJJJHHHIIIOOOXXXrrrwwwttt{{{aaaOOOOOOVVV___wwwqqqtttiiiOOOCCCDDDDDDGGGPPPaaarrr|||nnnTTTGGGHHHFFFLLL]]]hhhiiiqqq{{{wwwtttoooeee[[[cccooo||||||aaaTTTYYYwwwkkk[[[NNNUUUgggttttttppprrr}}}~~~xxxzzz|||}}}lll\\\nnn~~~xxxcccTTT___zzz}}}zzzqqq{{{~~~}}}zzzuuuuuuxxx{{{|||{{{wwweeeJJJ666111///,,,//////.........---------,,,,,,,,,,,,,,,,,,,,,,,,(((((()))***+++,,,,,,---((()))***+++++++++++++++))))))***++++++++++++++++++++++++,,,,,,---------)))***+++,,,---,,,,,,+++,,,+++***+++---...---,,,******))))))((((((eeeWWWQQQ[[[iiiqqqwww}}}uuuxxxvvv{{{yyyllliiicccYYYWWWYYY\\\aaagggnnntttwwwpppgggvvv~~~|||zzzyyyyyyxxxvvvtttjjjoooqqqqqq{{{~~~xxxuuufffIIIAAA<<>>CCCJJJVVVbbbjjjllluuuXXXIIILLLLLLNNNYYYvvvyyykkkWWWRRRZZZkkklllzzzqqqXXXKKKFFFGGGIIISSSmmm~~~bbbOOOAAAAAAEEEEEEGGGKKK\\\eeetttxxxooorrrrrrfff[[[YYYdddmmmtttxxx{{{yyynnnaaaTTTQQQVVVmmm~~~bbbVVVdddzzzyyyrrrooopppssshhh___}}}\\\QQQ___{{{}}}uuuwwwsssrrrzzzyyyyyywwwhhhKKK666000000///......---,,,,,,,,,,,,------------,,,+++***)))(((++++++++++++++++++++++++************************************************************************+++,,,......,,,++++++,,,******************++++++)))))))))))))))(((fffZZZWWWdddssszzz~~~|||{{{~~~~~~ppplllggg___\\\```eeelllsssyyy~~~vvv}}}zzzyyyxxxwwwtttrrrmmmqqqrrrrrr|||wwwqqqxxxfffIIIAAA===DDDXXXsssaaaAAA======;;;<<<>>>BBBJJJUUUbbbjjjpppwww[[[KKKMMMNNNPPP[[[rrr{{{qqq\\\WWW^^^ooopppzzzwww```MMMHHHJJJMMMUUUmmm~~~```OOOAAA@@@CCCBBBDDDIIINNN^^^sssrrrkkkooopppggg]]][[[aaahhhoooqqqrrrpppeeeYYYTTTQQQVVVjjj~~~ddd___uuukkkeee[[[RRR]]]www~~~~~~rrruuusssrrrvvvvvvyyyzzz}}}zzzxxxgggJJJ555000111000......---,,,,,,,,,,,,---,,,,,,,,,,,,+++***))))))++++++++++++++++++++++++************************************************************************+++,,,---,,,++++++,,,---++++++++++++++++++*********************)))iii``````ppp~~~|||zzz{{{sssmmmiiicccdddjjjsss{{{}}}zzzxxxwwwuuurrrpppnnnrrrqqqrrr|||vvvlllqqqfffIIIBBB???EEEWWWvvvcccBBB===<<<<<<===>>>BBBIIIUUUccclllrrr{{{^^^MMMOOOOOOQQQ]]]nnn~~~{{{vvv```ZZZaaasssrrryyy}}}gggPPPJJJMMMQQQWWWlllyyy]]]NNNAAAAAABBBAAADDDJJJFFF\\\sss}}}yyynnngggjjjkkkddd]]]\\\```eeeiiijjjiiieee[[[QQQSSSRRRVVVggg~~~bbbbbbmmmkkk___UUU\\\qqq|||}}}llltttvvvvvvuuuoootttzzzzzz{{{wwweeeHHH444000111000......---,,,,,,,,,,,,---,,,,,,,,,,,,+++******)))++++++++++++++++++++++++***************************************************************************+++,,,+++***+++---///------,,,,,,++++++*********++++++++++++***tttlllmmm|||uuummmiiifffmmmuuu}}}yyywwwuuurrrooolllkkkmmmmmmooo{{{tttjjjnnniiiLLLCCC@@@GGGWWWyyycccCCC>>>=========>>>BBBIIIUUUccclllsss~~~aaaOOOOOONNNRRR^^^pppzzzttt___ZZZbbbvvvrrryyykkkUUUMMMOOOUUUZZZkkk}}}sssYYYLLLBBBCCCEEEEEEKKKSSSSSSiii{{{zzzsssuuu~~~yyymmmdddcccddd```]]]]]]dddfffhhhgggddd^^^VVVPPPQQQSSSZZZiiiaaaccckkkhhhfffWWW[[[nnnxxx{{{eeepppwww|||~~~vvvzzz}}}|||{{{{{{vvvbbbFFF333000111000......---,,,,,,,,,,,,---,,,,,,,,,,,,,,,+++***)))++++++++++++++++++++++++***************************************************************************+++***))))))***...111......------,,,+++***************++++++***}}}}}}zzzzzzqqqmmmlll{{{}}}zzzvvvsssqqqnnnjjjhhhdddfffgggjjjyyy{{{qqqjjjqqqpppPPPEEEAAAHHHYYYxxxbbbCCC??????======???CCCJJJVVVcccllltttcccPPPNNNMMMQQQ___uuu|||nnnZZZWWWccczzzsss}}}rrr___QQQQQQYYY^^^mmmuuuhhhRRRHHHCCCGGGKKKMMMVVVaaapppwwwuuu|||xxxnnnccc___```bbbccceeegggggggggfffaaaZZZUUUSSSQQQXXXcccqqqxxx___fffddd]]]yyyiiiXXX\\\oootttxxx}}}^^^lll~~~uuu{{{xxxrrr___CCC222000111000......---,,,,,,,,,,,,---++++++,,,,,,,,,+++******++++++++++++++++++++++++*********************************************************************************))))))***---000......------,,,+++******(((((())))))))))))ppp]]]XXXaaalllsss~~~|||yyyyyy~~~}}}~~~~~~}}}yyyvvvrrrooommmjjjfffccc^^^aaabbbgggxxxvvvoookkktttyyyWWWGGGBBBJJJ\\\zzz```BBB???@@@<<<===@@@DDDLLLWWWccckkkuuufffRRROOOMMMRRR```xxx}}}hhhUUUTTTccc~~~sssnnnYYYUUU___fffttt}}}iii[[[JJJDDDCCCIIINNNSSS___mmmzzzyyyvvvuuunnnfffcccfffkkkooorrriiigggfffeee```YYYWWWYYYYYYbbbooo|||dddTTT```}}}\\\SSSlllfffVVV\\\qqqqqqvvvzzz]]]jjj}}}{{{{{{sssmmm[[[AAA222000111///......---,,,,,,,,,,,,---+++++++++,,,,,,++++++***++++++++++++++++++++++++************************************************************************)))***+++***)))***,,,...------,,,,,,++++++******''''''((()))))))))vvv```PPPKKKQQQYYY\\\mmm~~~|||{{{{{{zzzyyywwwtttqqqnnnkkkiiifffbbb```\\\___aaafffwwwsssmmmjjjttt]]]HHHAAAKKK___^^^@@@>>>???;;;===AAAFFFNNNXXXcccjjjrrriiiTTTPPPNNNSSScccwwwvvvaaaOOOOOO___|||oooccc[[[gggqqq~~~www```PPPCCC???AAAIIIOOOUUUcccrrr|||xxxrrrvvvsssooonnnqqqvvvyyyyyykkkhhhgggfffbbb\\\\\\bbbfffooo{{{VVVIIISSSnnnxxxnnnjjjooozzztttUUUNNNhhhfffQQQ[[[ttt~~~pppwwwzzz```ooo|||nnniiiWWW???222111111---......---,,,,,,,,,,,,---***++++++,,,,,,+++++++++++++++++++++++++++++++++************************************************************************)))***++++++***)))***,,,++++++++++++++++++******'''((()))*********sssuuu|||ppp]]]QQQOOORRRUUUSSShhh||||||{{{zzzyyywwwuuuqqqoookkkhhhfffddd```^^^\\\___aaagggwwwrrrllliiisssaaaIIIAAALLLbbb]]]@@@===>>>:::===AAAGGGOOOXXXbbbiiinnnlllVVVQQQOOOUUUdddtttppp[[[IIIJJJ[[[xxx|||jjjkkk```mmmxxxuuu]]]LLL>>>;;;???HHHNNNTTTccctttxxxyyyzzzvvvzzzzzzxxxxxxzzz||||||yyynnnjjjiiiiiieee```bbbiiipppxxxXXXIIIJJJ\\\ooo}}}oooaaa[[[aaannnyyymmmQQQNNNjjjyyyiiiMMMZZZuuu~~~pppwww{{{dddttt~~~jjjfffUUU>>>222111111,,,......---,,,,,,,,,,,,---***++++++,,,,,,,,,++++++++++++++++++++++++++++++************************************************************************)))+++,,,,,,***))))))*********************++++++((()))***+++++++++iiieeesss{{{jjj[[[TTTQQQSSSVVV```ooo}}}uuuzzz~~~{{{yyyxxxxxxwwwuuupppqqqqqqnnniiiccc```___```\\\[[[eeeuuuxxxiiiaaaoooqqqRRR<<>><<<999888<<>>???AAABBBCCCJJJ]]]nnn~~~|||zzz|||xxxtttmmmfffaaaccchhhnnnqqq|||xxxVVVMMMIIITTTiii}}}wwwhhhddddddeeeppp~~~|||```LLLQQQmmmwwwyyy~~~dddRRRXXXttttttppp~~~wwwlllzzz~~~sssiiiTTT===000///000///........................++++++++++++++++++++++++++++++************++++++************************+++++++++*********)))))))))))))))))))))******+++)))************+++++++++...,,,)))&&&%%%&&&''')))((((((((()))******www___WWWbbbkkkzzznnn___YYYZZZbbbkkksss~~~wwwvvvyyy}}}{{{www~~~vvvttt~~~|||zzzyyywwwuuussspppqqqqqqnnnhhhccc```___aaa]]]^^^iiiyyyxxxjjjdddrrr}}}\\\BBBMMMpppRRR<<<;;;888888;;;AAAFFFMMMWWWccclllooouuu\\\NNNQQQ[[[aaa|||pppWWWEEEKKK]]]rrrzzzlllooo|||qqq{{{sssZZZFFF===>>>@@@BBBCCCKKK]]]ooo|||~~~zzzyyy|||vvvmmmiiikkkrrryyy}}}zzzVVVMMMIIITTTjjj{{{kkkiiimmmrrr}}}qqqZZZLLLUUUooouuu{{{aaaQQQXXXtttuuurrruuummm~~~|||}}}oooeeeQQQ;;;000///000000........................++++++++++++++++++++++++++++++************++++++************************+++++++++*********)))))))))))))))))))))******+++)))************+++++++++++++++++++++***))))))((())))))))))))******~~~nnnUUUIIIPPPZZZooouuutttuuu{{{qqqaaaZZZ___ooo~~~|||wwwqqqqqqxxx}}}~~~ooocccaaajjjvvv~~~|||zzzwwwtttqqqpppqqqpppmmmhhhccc```___aaa___bbbnnnsssiiigggwwwfffHHHQQQsss}}}NNN999:::777777;;;???DDDKKKVVVccclllsssyyy^^^OOOOOOWWW]]]zzznnnWWWGGGLLL\\\mmmyyyggghhhxxxlllwwwoooWWWEEE<<<===@@@BBBCCCJJJ\\\mmm|||uuuttttttqqqssszzz~~~xxxsssvvv~~~VVVLLLGGGTTTkkktttsss{{{|||dddVVVNNNYYYooo|||tttwww\\\OOOXXXvvvssspppqqqkkk~~~|||~~~yyy{{{lllaaaMMM999//////111000........................++++++++++++++++++++++++++++++************++++++************************+++++++++***************)))))))))))))))******+++)))************+++++++++(((***---//////---***(((************))))))}}}zzz~~~mmmRRRDDDJJJSSSfffiiikkkrrr}}}rrr```VVV[[[nnn~~~wwwvvv{{{pppmmmvvvwwwcccZZZ[[[aaaqqq}}}}}}}}}|||{{{xxxtttqqqqqqqqqpppmmmhhhcccaaa```aaa```dddrrrlllhhhmmmjjjIIISSSwwwyyyKKK999:::888777:::>>>CCCJJJUUUcccmmmuuu|||aaaPPPNNNUUU[[[uuujjjWWWHHHNNN]]]mmmrrraaadddnnn^^^eeewwwkkkUUUFFF>>>@@@BBBDDDCCCHHHWWWggg{{{|||llliiilllmmmsss|||~~~~~~YYYLLLGGGVVVllluuu___WWWOOOWWWjjjwwwvvvtttXXXNNNXXXxxx~~~mmmjjj|||gggcccwww~~~zzztttuuulllaaaLLL888//////111///........................++++++++++++++++++++++++++++++************++++++************************************************)))))))))))))))******+++))))))*********+++++++++''')))---//////...+++***+++++++++***)))(((xxxooommmlllmmmvvv}}}kkkPPPEEELLLRRR___uuuuuu{{{rrr^^^RRRTTTeeevvv~~~wwwuuuzzztttkkklll{{{zzznnniiitttlllZZZVVVZZZbbbrrr~~~}}}}}}}}}|||{{{{{{{{{yyyvvvsssqqqqqqppplllgggcccaaa```aaaaaafffsssiiijjjuuufffFFFTTT|||vvvJJJ999;;;999888:::===BBBIIIUUUdddooovvveeeRRROOOVVV[[[qqqfffUUUIIIOOO___rrrcccWWW```kkkSSSTTTaaappp~~~gggSSSGGGBBBCCCFFFGGGDDDGGGUUUdddzzz{{{mmmoooxxx}}}___QQQLLL\\\qqquuudddZZZNNNQQQbbbsss|||yyyqqqUUUNNNYYYzzzzzzgggdddxxxXXX[[[ppp~~~}}}|||uuunnnmmmnnnbbbLLL888///000000---........................++++++++++++++++++++++++++++++************++++++))))))))))))))))))))))))************************)))))))))))))))******+++))))))*********+++++++++((()))***+++,,,,,,,,,+++,,,++++++***)))(((ddd[[[VVVXXXYYYZZZdddqqqrrrcccLLLEEENNNRRRZZZlllppp\\\OOOPPP```qqq{{{tttmmmooo~~~jjj``````qqqxxxmmmjjjwwwzzzcccSSSQQQXXX^^^ooo{{{zzzyyyyyyyyyxxxvvvtttrrrrrrppplllgggcccaaaaaacccbbbhhhtttyyyhhhmmmzzzbbbEEEVVVtttIII:::<<<:::999;;;===AAAIIIVVVfffqqqvvvkkkWWWRRRWWW\\\mmm~~~}}}}}}cccTTTIIIOOOaaawww{{{aaaWWWRRRaaadddKKKHHHNNNYYYsss{{{cccOOOGGGBBBEEEIIIKKKJJJMMM[[[iii{{{eeeVVVRRRdddyyyxxxlll\\\NNNPPPaaauuu}}}www}}}lllQQQNNN[[[}}}wwwdddccczzz|||OOO\\\uuuvvvuuutttpppkkkjjjnnnaaaKKK777///000000,,,........................++++++++++++++++++++++++++++++************++++++))))))))))))))))))))))))***************+++++++++)))))))))))))))******+++)))************+++++++++))))))(((((()))***+++,,,+++++++++***)))(((OOOHHHFFFIIIIIIIIIQQQ^^^___VVVGGGCCCKKKOOOZZZoooiiiVVVMMMRRRcccttt}}}qqqggghhhxxx|||fff\\\[[[gggzzztttjjjhhhuuuyyyxxx{{{zzzcccRRRPPPVVV[[[mmm}}}zzzxxxwwwvvvvvvtttsssrrrrrrpppkkkfffbbbaaaaaafffeeejjjtttxxxooobbbiiiwwwcccIII[[[qqqIII:::<<<999:::<<<>>>AAAIIIVVVgggsssxxxrrr\\\UUUYYY]]]lll|||yyy|||wwwaaaTTTIIINNNbbb{{{pppYYYJJJLLLKKK]]]nnnVVVEEEDDDGGGNNNiiiwww]]]KKKDDD???CCCKKKPPPRRRXXXgggwwwdddUUUSSShhh~~~{{{ppp^^^UUU[[[mmmtttvvvfffJJJOOO]]]uuufffiii|||TTTlll|||ssskkkjjjmmmnnnppprrrkkk]]]GGG555...000000,,,........................++++++++++++++++++++++++++++++************++++++))))))))))))))))))))))))))))))*********+++++++++)))))))))))))))******+++)))************+++++++++***))))))))))))*********+++*********))))))FFFAAA@@@CCCBBB@@@GGGRRRQQQNNNDDDBBBIIIMMM\\\uuuzzzbbbPPPKKKSSSgggyyy~~~pppddddddttt}}}hhh]]]ZZZ```tttlllbbbaaalllsssnnnfffbbbfffooo}}}iiiUUURRRWWW```rrr}}}}}}~~~{{{xxxuuuttttttrrrqqqrrrrrrpppkkkfffbbbaaaaaahhhhhhkkkuuu~~~}}}ssshhh[[[bbbrrrgggMMM```oooHHH999;;;888;;;<<<>>>AAAIIIWWWhhhtttyyyxxx```WWWZZZ^^^lll{{{xxxxxx|||tttaaaTTTHHHMMMaaa}}}xxx\\\JJJFFFGGG@@@AAAQQQmmm|||uuukkkiii___MMMDDDIIIKKKQQQkkkuuuZZZGGGAAA<<>>AAAFFFLLLCCC???CCCFFFLLL___tttuuuppptttiiiUUURRRNNNUUUkkk{{{|||iii]]]\\\mmm|||hhhVVVYYYaaapppnnnccc```jjjkkk]]]RRRPPPYYY___jjjvvvrrrWWWQQQ[[[ddd{{{{{{~~~}}}|||}}}{{{yyywwwvvvvvvtttqqqnnnoooqqqqqqlllddd^^^^^^___fffeeekkkvvv}}}zzzppphhhaaa^^^iiikkkNNNddd[[[DDD???<<<888777:::===AAAGGGVVVhhhuuuyyywwwdddXXXZZZbbbqqqzzzrrrtttzzzrrr]]]NNNBBBIIIcccfffSSSKKKHHHEEEBBBCCCFFFMMMUUUZZZWWWOOOGGGNNNJJJFFFBBBDDDTTTssszzzwwwnnnTTTGGG@@@BBBDDDEEEGGGNNN___vvv{{{[[[OOOSSSkkknnneeefffwwwxxxtttuuuSSSGGGSSSeeerrriiitttllluuuzzz{{{tttqqqkkkpppwwwxxx~~~zzzkkkNNN<<<888333000000+++...---,,,,,,++++++,,,,,,------,,,,,,,,,,,,+++++++++***)))(((((()))***+++************************************************************************''''''''''''((((((((((((++++++++++++++++++,,,,,,))))))))))))******GGGGGGFFFGGGFFFDDDCCCCCCEEEBBBCCCHHHIIINNNbbbyyyxxxggg___^^^cccppp|||xxx~~~cccUUUVVVRRRWWWjjjxxxfff\\\\\\lllzzz{{{wwwvvvtttyyyfffTTTWWW___nnniii``````hhhgggXXXMMMLLLRRRWWWaaalllwwwsssYYYVVVcccppp{{{~~~}}}}}}~~~|||zzzxxxwwwvvvuuurrrpppooopppooojjjccc______bbbfffhhhnnnwww|||yyyqqqjjj]]]]]]iiigggTTTmmm\\\BBB888555222777:::===@@@GGGUUUgggtttyyyxxxfffXXXWWW\\\mmmwwwrrrssswwwnnn\\\MMMBBBLLLeee{{{lll```QQQFFFCCCCCCEEEEEEJJJKKKNNNOOONNNLLLKKKKKKEEECCCBBBAAAEEEXXX{{{lll```\\\hhhrrrlllQQQFFF@@@AAABBBCCCEEEOOOccc}}}tttXXXMMMPPPhhhvvvsssttt|||{{{rrrUUULLLOOOcccnnnfffvvvvvvuuu{{{pppjjjsssooowww|||kkkNNN;;;666000...000+++...---,,,,,,++++++,,,,,,------,,,,,,,,,+++++++++,,,+++***))))))***+++,,,************************************************************************(((((()))))))))*********,,,,,,,,,,,,,,,,,,,,,,,,))))))))))))******MMMMMMMMMMMMMMMJJJDDD??????@@@DDDGGGFFFJJJ^^^ttt}}}dddYYYNNNKKKMMMSSSZZZaaa^^^ooolllXXXQQQTTTQQQVVVgggsss^^^VVVVVVeeepppnnnfffbbbdddjjjqqqxxx~~~|||cccRRRUUU___mmmgggaaacccjjjeeeSSSIIIJJJLLLPPPUUU]]]iiizzzuuu]]]^^^nnn~~~{{{}}}}}}}}}~~~}}}{{{yyywwwwwwuuussspppmmmmmmkkkeee```]]]___bbbeeekkkrrrwwwyyyuuuooojjjXXX\\\lll~~~___ZZZxxxcccGGG:::666555777999===@@@FFFSSSdddqqqxxxzzziiiYYYTTTVVVgggssspppoooqqqhhhVVVIIIAAALLL```mmmiii```JJJFFFAAA???@@@FFFMMMQQQdddeeeccc\\\QQQHHHDDDCCCAAA@@@???AAAHHH\\\~~~{{{cccRRRKKKJJJXXXeee{{{aaaJJJDDDBBBDDDEEEEEEIIIUUUkkkoooUUUJJJLLLbbbzzz~~~{{{~~~kkkRRROOORRRhhh|||iiifff{{{rrrtttwwwuuuqqqkkkiiivvvtttlllMMM999333,,,,,,000---...---,,,,,,++++++,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,++++++++++++,,,,,,*********************************************************************************+++++++++,,,,,,......------,,,,,,++++++))))))))))))******^^^ccceeeccc___YYYQQQJJJGGGEEEEEEEEECCCHHHYYYkkk}}}ooofff^^^WWWXXXSSSOOOPPPTTTWWWWWWWWW[[[nnneeeSSSOOOTTTRRRZZZlllxxx[[[SSSRRR]]]fffdddZZZTTTXXX]]]dddjjjqqq{{{zzzcccTTTXXXbbbooojjjgggkkkrrriiiTTTJJJLLLOOORRRUUUXXXbbbvvvvvv___bbbssszzz{{{}}}}}}||||||{{{{{{|||zzzwwwuuuuuusssqqqooolllkkkfffaaa\\\ZZZ\\\___ccckkkrrrtttrrroookkkgggWWW```ssslllWWWaaacccKKK>>>::::::666999<<>>CCCOOO^^^jjjqqq~~~tttddd[[[YYYbbbooo|||fffccccccYYYCCCBBBBBBEEEIIIIIIEEE@@@???BBBEEEJJJSSScccvvv|||iii\\\TTTHHH???AAAKKKTTT]]]cccYYYTTTLLLEEEEEELLLVVV^^^jjjmmmooonnnqqq}}}uuucccNNNKKK[[[hhhqqqsssvvv{{{qqqSSSIIIHHHYYYpppyyyoooyyyxxxXXXFFFNNNaaa{{{oookkkxxx^^^kkktttyyyhhhKKK888222++++++222222...---,,,,,,++++++,,,,,,,,,,,,+++++++++*********)))******************)))))))))))))))))))))))))))************************************************)))))))))************+++---,,,,,,+++***)))((((((((()))))))))******kkk```QQQGGGDDDIIIQQQXXXkkkhhh```VVVNNNLLLPPPTTTVVVcccrrr}}}~~~uuulllkkkuuunnn^^^ZZZ___dddrrrvvv\\\VVVTTTZZZcccddd[[[RRRPPPVVV]]]aaafffqqqlll^^^cccnnn{{{{{{yyyyyyaaaRRRRRRRRR[[[bbbeeepppsss]]]]]]lll}}}~~~|||~~~|||{{{yyyxxxyyyxxxwwwuuuwwwuuuqqqooonnnmmmlllkkkppplllgggbbb___^^^```aaa___iiimmmiiiddddddaaaZZZ\\\nnn{{{YYY```xxx^^^JJJCCC<<<888999444777;;;===BBBLLL[[[gggnnnzzz{{{kkk___[[[aaannnwww```^^^___VVVCCCDDDEEEEEEDDDCCCCCCCCC>>>@@@EEENNN^^^ttt~~~sssaaaQQQDDDCCCHHHKKKLLLLLLKKKIIIFFFFFFJJJVVVdddnnnwwwvvvppphhhkkk{{{vvvdddXXXKKKRRRmmm~~~mmmQQQIIIHHHVVVnnn|||mmmiiirrrsssRRREEETTTdddkkklll~~~]]]qqqwwwgggtttaaaGGG777333,,,,,,111111...---,,,,,,++++++,,,,,,++++++++++++************((()))************)))((())))))))))))))))))))))))************************************************((((((((())))))))))))***++++++******))))))(((((())))))))))))******yyyhhhUUUIIIFFFIIIMMM^^^[[[VVVPPPLLLMMMSSSZZZaaavvv}}}yyy}}}rrreeeeeeooowwwyyy]]]ZZZ[[[ccclllnnndddYYYUUU^^^hhhnnnqqqxxxpppbbbfffuuulll[[[XXXYYYfffqqquuurrrbbbeeeuuu|||{{{~~~}}}zzzyyyyyyyyywwwtttwwwtttpppmmmllllllkkkjjjkkkhhhdddaaa```aaabbbbbbbbbjjjmmmgggccceee```WWW]]]rrrkkkVVViiiYYYJJJDDD;;;888<<<444777:::<<>>666666444555555888===BBBGGGRRR\\\rrrooozzzeeeWWWZZZdddxxxjjjZZZ[[[___^^^NNNDDD???DDDHHHGGGHHHMMMSSSdddooovvvcccQQQDDDBBBGGGJJJMMMYYYjjjyyy}}}sssgggqqqggg]]]XXXZZZddduuuqqqRRRAAADDDXXXooovvv|||{{{VVVJJJCCCJJJ```iiiSSSCCCLLLhhhmmmSSSccctttoooddd{{{nnnkkkwww||||||jjjGGG;;;000...//////......,,,,,,,,,+++++++++************++++++++++++******,,,))))))///888999222***+++++++++*********))))))))))))))))))))))))))))))***)))))))))***+++,,,,,,***))))))((()))+++,,,---,,,+++)))((((((((())))))))))))))))))))))))uuudddWWWNNNKKKIIIJJJOOOUUU```tttsss|||~~~www{{{vvvzzz{{{uuu~~~pppmmmpppzzzwwwyyy}}}vvvsss}}}zzz{{{{{{{{{zzzyyyyyyzzzyyywwwuuurrrooollljjjjjjiiihhhgggddd___\\\]]]]]][[[\\\```hhhoooiiibbbggghhh```]]]qqqlllOOO```~~~cccPPP???777666333555444777;;;@@@EEEPPP[[[iiijjj~~~fffUUU^^^gggxxxmmmYYYXXX]]]^^^MMMCCC???DDDGGGFFFIIIPPP^^^ppp~~~zzzgggRRRDDDBBBFFFMMMWWWiii|||nnneeeeee[[[QQQMMMPPP[[[mmm}}}wwwTTTDDDGGG]]]tttwwwyyyTTTGGG???KKKeeezzzbbbOOODDDRRRpppzzzhhhUUUfffyyykkkhhh}}}{{{}}}|||jjjEEE:::///...///...---...,,,,,,,,,+++++++++************++++++++++++******---******000777<<<:::777+++++++++*********))))))))))))))))))))))))))))))******************++++++))))))))))))***+++,,,---++++++***)))))))))******))))))))))))))))))}}}pppcccYYYVVVTTTSSSXXXaaappp|||{{{yyyrrrxxx{{{~~~}}}sssqqquuu}}}vvvrrrrrruuu}}}yyy{{{}}}{{{||||||yyyyyyyyyzzzzzzxxxtttqqqooommmjjjiiiiiiiiigggfff```\\\[[[\\\\\\[[[]]]aaaiiiiiicccdddkkkddd[[[```zzz^^^RRRoooaaaNNN>>>999999555555444555999===BBBNNNYYYfffjjjhhhUUU```gggwwwpppXXXSSSXXX\\\MMMDDD@@@DDDFFFGGGOOOYYYnnntttcccPPPDDDCCCIIIMMM___xxxssseeeaaaYYYPPPGGGDDDGGGRRRdddttt{{{XXXGGGKKKddd|||~~~sss|||tttOOOCCCAAATTTsssnnnWWWJJJFFF[[[|||tttdddUUUhhhxxxdddrrrzzzhhhBBB888///...///...---...,,,,,,,,,+++++++++************++++++++++++******)))(((''')))...333666777+++++++++***************))))))))))))))))))))))))+++++++++***************((()))***+++++++++++++++)))***++++++++++++++++++))))))))))))))))))zzzvvvrrrsssuuuvvvvvvtttnnniiihhheeedddhhhssszzzrrrtttyyyzzz{{{vvvwwwzzzvvvooollljjjiii}}}~~~{{{yyyxxxxxxxxxvvvsssqqqooommmkkkiiiiiihhhfffddd\\\ZZZZZZ\\\\\\[[[]]]bbbhhhbbb]]]eeelll^^^WWWddd{{{TTTZZZxxxZZZHHH<<<;;;???;;;777555666999<<>>666......///------...,,,,,,,,,+++++++++************++++++++++++******(((((('''&&&&&&'''***,,,************************))))))))))))))))))))))))++++++++++++******))))))'''(((***+++,,,,,,+++***((()))+++,,,------,,,+++((((((((((((((((((vvv]]]SSSLLLNNNSSS\\\eeejjjmmmooorrrqqqqqqwwwwwwrrrqqqxxx}}}{{{zzz~~~|||yyyuuunnnfff~~~}}}~~~}}}zzzvvvttttttttttttsssqqqooollljjjiiifffcccaaaYYYXXXZZZ\\\\\\[[[^^^cccddd]]]ZZZeeeiiiYYYVVVjjjlllQQQfffxxx^^^LLL<<<;;;@@@<<<888777777:::<<<@@@JJJUUU^^^kkkttt___^^^fffvvvzzz```UUU[[[ccc[[[OOOHHHLLLUUUaaasssaaaNNNHHHJJJKKKIIIHHHFFFCCCFFFTTTdddrrrzzz~~~zzzhhhVVVQQQUUUOOOJJJFFFFFFHHHLLLVVV___jjjqqqdddPPPWWWvvvfffRRRSSSVVVRRRWWW^^^gggmmmpppuuu|||dddIIIGGGIIIeeexxxZZZEEEDDDOOOmmm}}}mmm^^^UUUZZZrrrjjjeee}}}wwwzzzsss[[[:::333......///---,,,...,,,,,,,,,+++++++++************++++++++++++*********,,,---,,,)))'''''')))************************))))))))))))))))))))))))+++++++++++++++***)))((('''(((***+++,,,,,,+++***((()))+++,,,------,,,+++((((((((((((((((((oooRRRAAAAAAAAAEEEMMMUUU[[[bbbhhhqqqtttyyyxxxsss}}}|||ooorrr{{{|||zzz}}}|||xxxtttqqqqqqrrrttttttrrrpppmmmkkkiiieeeaaa^^^XXXXXX[[[]]]\\\[[[^^^ddd___\\\\\\dddfffWWWYYYrrrwwwZZZVVVsssmmmVVV???999;;;777888777888;;;<<>>555666222666666888;;;<<<===DDDLLLVVVhhh{{{}}}hhhaaafffsssrrrddddddjjj___UUUTTTeee|||kkkPPPBBB@@@CCCAAABBBDDDGGGKKKXXXpppvvvnnneee^^^WWWRRRTTTXXXUUUPPPLLLKKKKKKNNNVVV___gggnnn~~~ttt^^^fff]]]EEEGGGNNNNNNRRROOOKKKIIIJJJOOOUUUYYYdddwwwmmmQQQKKK\\\nnn}}}kkkNNNAAAMMM```ooo^^^VVVXXXjjj{{{ooo|||vvvqqqyyy{{{qqqvvv}}}iiiHHH333///---///...,,,,,,...,,,,,,,,,+++++++++************++++++++++++******&&&'''(((***++++++***((())))))*********+++++++++))))))))))))))))))))))))((()))+++,,,,,,+++***)))))))))))))))***+++,,,---++++++***)))))))))******))))))))))))))))))ppp[[[IIICCCCCCHHHMMMNNNOOOWWWcccttt|||qqqnnntttxxxzzz{{{vvvwww|||~~~{{{vvvrrrpppooooooppppppooommmkkkjjjhhhhhhgggdddaaa^^^XXXYYY]]]```]]][[[^^^eeeYYYaaadddeeeaaaYYYdddyyyRRRRRRrrrwwwlllWWW;;;111444111555555777;;;<<<<<>>222...---///...,,,+++...,,,,,,,,,+++++++++************++++++++++++******+++***)))***,,,,,,+++)))))))))******++++++++++++))))))))))))))))))))))))'''(((***,,,---,,,+++******))))))((()))+++,,,---,,,+++)))((((((((())))))))))))))))))))))))}}}cccKKKDDDFFFJJJOOOOOORRR\\\gggzzzkkkbbbnnn|||}}}~~~{{{xxxvvvtttsssrrrqqqjjjfffhhhoootttqqqkkkiiiiiifffcccccceeeddd___ZZZ^^^aaa```ZZZZZZbbbggggggfffgggjjjfffYYYUUUjjj{{{\\\SSS\\\qqqiiiaaaTTTFFF;;;555333222333333333333555:::AAAEEEPPPWWWkkkxxxmmmgggiiixxxuuukkkdddiiieeennngggOOOHHHFFF@@@FFFDDDEEENNNaaa{{{vvvcccTTTVVV]]]aaaiiisssoooiiibbb]]]```iiiuuu}}}}}}kkkrrrdddKKKNNN\\\ccchhheee]]]RRRQQQ[[[hhhooo|||```TTT```rrrmmmWWWHHHGGGTTTuuuzzziii\\\OOONNN[[[uuussstttzzzlll~~~~~~|||yyy}}}{{{^^^@@@222000...,,,+++,,,---...+++++++++++++++++++++++++++++++++*********))))))************************++++++++++++++++++++++++'''''''''''''''((())))))(((***+++***)))((()))******************************)))((()))***+++***(((((((((((((((((((((eeeJJJIIIJJJNNNSSSTTTXXXbbbmmm|||vvvrrrtttuuukkk^^^^^^lll}}}~~~}}}}}}yyyuuusssssssssrrrqqqfffccceeelllqqqnnniiigggiiigggeeeddddddbbb^^^[[[]]]aaa```\\\\\\bbbeeeddddddiiilllcccWWW[[[tttmmmTTTPPPcccaaaOOOIIIAAA888222000111222333333333333444999???CCCLLLSSSdddzzzyyyqqqqqq~~~zzzvvv~~~|||iiiPPPHHHDDD???EEEJJJTTTcccuuu~~~kkk^^^bbblllrrrxxx~~~yyyvvvyyyssseeepppaaaQQQ[[[mmmwww}}}}}}vvvkkkgggqqqyyybbb___sss}}}aaaOOOFFFJJJYYY{{{vvvdddXXXMMMOOO^^^vvvxxxtttyyyYYY:::111000...,,,+++,,,---...+++++++++++++++++++++++++++++++++*********)))))),,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++(((''''''''''''((())))))(((***+++***)))((()))******************************)))((()))***+++***(((******************hhhMMMMMMMMMPPPVVVZZZ```kkkuuu~~~kkkgggeee```___bbbddd^^^UUU[[[lll||||||wwwrrrpppqqqrrrrrrqqqfffccceeelllpppmmmiiihhhiiiiiihhheeebbb___]]]]]]^^^``````^^^___cccdddcccdddllllll```YYYggg]]]NNNTTTrrrrrrLLL;;;888555111000111333555333333333222333666;;;???GGGNNN]]]nnn}}}|||sssyyyvvvssslllRRRHHHEEEAAAAAALLL]]]ppp|||nnnbbbhhhvvv~~~kkkeeeuuu~~~^^^TTTcccxxx~~~xxxooosssyyyuuuqqqUUUGGGEEEOOO```qqq___UUULLLRRReeevvv|||vvv}}}uuuSSS666000///...,,,,,,,,,------+++++++++++++++++++++++++++++++++***************,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++((((((''''''(((((()))***(((***+++***)))((()))******************************)))((()))***+++***(((******************kkkTTTMMMLLLPPPXXXaaajjjuuu{{{fffXXXQQQOOONNNQQQWWW\\\[[[XXX]]]nnn|||{{{vvvqqqooopppqqqqqqpppkkkiiijjjoooqqqmmmjjjiiihhhjjjjjjeee___[[[\\\___cccbbb```___aaadddeeeeeeffflllhhh]]]aaa{{{qqqOOOOOO```^^^>>>666444333222111222333444333333222111111444888<<>>DDDNNNYYYcccttt|||||||||}}}xxxcccRRRQQQOOOMMMIIIHHHLLLQQQbbbyyy~~~yyyeeeYYYZZZlll{{{jjjbbbdddppp{{{yyyttt}}}]]]FFFAAADDDNNNlllwwwfffOOOJJJRRR\\\xxxpppvvvvvvdddHHH666111++++++,,,---------,,,,,,++++++++++++++++++++++++))))))******++++++++++++(((((((((((((((((((((((()))))))))))))))))))))))))))))))))))))))******+++(((***+++***)))((()))******************************)))((()))***+++***(((((((((((((((((((((vvvwww|||yyyxxx{{{sssuuuzzz{{{}}}sss^^^JJJGGGEEEFFFEEEAAAAAACCCFFFNNNXXXcccsssmmmZZZLLLFFFHHHMMMMMMQQQYYYbbblllwww|||~~~}}}{{{xxxrrrcccVVVWWW___iiinnnlllhhheeeeeehhhfffddddddgggjjjhhheeeiiiccc[[[YYY[[[]]]]]]\\\XXX]]]ccchhhhhheeeaaa^^^WWWTTTZZZnnngggRRREEEKKK{{{yyyUUU???===000000000////////////000000/////////000111333444555999???GGGVVVdddkkk||||||zzz\\\MMMHHHHHHDDDJJJVVVWWWWWWaaauuu{{{jjjXXXbbbsss~~~uuuqqqrrrxxx{{{sssnnnKKK???HHHBBB\\\{{{qqq]]]MMMMMMUUUccc~~~tttrrr|||vvv}}}^^^<<<...111---------------------------------,,,,,,+++++++++************************((((((((((((((((((((((((******))))))))))))************))))))))))))*********)))((((((((()))+++,,,))))))))))))******************))))))((((((''''''(((((())))))((('''wwwbbb]]]ggguuu{{{zzztttxxx}}}~~~~~~sss^^^JJJFFFEEEGGGGGGDDDEEEHHHMMMWWWcccnnn}}}rrr```RRRIIIEEEHHHNNN]]]bbbkkkuuu}}}~~~}}}zzzxxxsssggg[[[[[[eeepppsssmmmggggggiiieeecccaaaaaadddgggfffcccccc___ZZZYYY[[[]]]]]]\\\^^^bbbgggiiifff```YYYUUUQQQUUUaaavvv\\\MMMJJJ[[[sssuuuvvvUUU???<<<222000000////////////000000/////////000111222444555666;;;BBBOOO\\\cccxxxbbbMMMFFFCCCIIINNN]]]pppvvvyyy}}}rrrfffsss|||vvv|||sssiiiccccccmmm}}}}}}mmmrrrwww]]]EEE???EEEPPPkkk```QQQHHHPPP]]]ooofffnnnxxxsssTTT999///222------------------------------,,,,,,,,,+++++++++************************))))))))))))))))))))))))******))))))))))))************))))))))))))*********))))))((()))***+++,,,))))))))))))***************)))))))))((((((((('''(((((())))))((('''bbbOOOQQQaaatttsssqqq{{{}}}~~~|||yyywwwaaaIIIFFFEEEHHHIIIIIILLLPPPZZZggguuuxxxeee[[[QQQKKKGGGFFFKKKRRRhhhnnnyyy~~~}}}|||}}}~~~}}}yyywwwuuulllbbbeeeuuuyyylllhhhiiiccc```___aaadddeeeccc```\\\[[[YYYYYY[[[\\\\\\[[[```dddiiiiiiddd\\\SSSOOONNNZZZmmmxxxKKKCCCLLLiiiuuu{{{xxxjjjssstttSSS<<<999111000//////......//////000/////////000111222333444444999>>>IIIUUU[[[nnnxxxpppkkknnnyyyjjjQQQFFFHHHGGGTTTbbbvvv|||{{{~~~zzznnneeekkkzzzlllPPPKKKGGGKKK\\\ppp~~~oooggguuuzzzcccLLLBBBDDDHHHbbb~~~tttQQQHHHFFFTTTiiiqqqbbbxxxuuuvvvgggGGG444///000------------------------,,,,,,,,,,,,++++++++++++******************************************************))))))))))))*********************************))))))))))))***++++++))))))))))))************))))))))))))(((((((((((((((((()))))))))(((www^^^RRRYYYhhhuuu|||vvvgggiiiwww{{{}}}}}}}}}vvv```JJJFFFEEEHHHKKKMMMRRRXXXeeeuuuzzzgggUUUNNNHHHFFFEEEHHHOOOXXXkkksss|||zzzyyy}}}~~~|||xxxwwwvvvqqqjjjsssrrrhhhgggdddbbbccchhhiiieee___[[[XXXYYYZZZZZZZZZZZZZZZYYY\\\aaaggggggbbbZZZTTTPPPTTTcccyyyjjjDDD@@@OOOtttuuummm}}}rrrnnnuuuoooNNN777333////////////....../////////////////////000111222333444999<<>>@@@LLLXXX]]]^^^^^^mmm{{{pppnnn}}}xxxgggTTTEEEBBBKKKTTTooowwwdddNNNHHHHHHWWWqqqkkkllllllwww^^^===111///---,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++******************************************************))))))))))))******************************)))))))))*********++++++((()))))))))************))))))))))))(((((((((((((((((()))))))))(((tttbbb\\\cccpppyyy|||sssfff^^^fffuuu{{{~~~}}}}}}zzznnnZZZKKKGGGFFFIIINNNSSSZZZbbbooonnn]]]NNNIIIDDDCCCDDDHHHRRR\\\uuu~~~}}}{{{yyyxxx{{{|||zzzvvvuuuvvvtttooozzzppphhhiiigggeeehhhoooooofff\\\WWWVVVYYY\\\\\\ZZZXXXWWWXXX\\\aaaeeeddd^^^XXXUUUTTT]]]kkk```EEEGGGXXXnnnyyysssrrrqqqbbbDDD111.../////////............//////////////////000111222222222888:::AAALLLTTTeeeppp___TTTPPPQQQUUUZZZZZZQQQJJJNNNWWWiiizzzpppmmmmmmoooxxxnnn\\\KKKFFFNNNYYYfffooo}}}~~~^^^III@@@@@@???AAAGGGKKKKKKLLLOOO[[[mmm~~~ppprrrjjjSSSKKKFFFBBBNNNaaaxxxlllWWWMMMIIIJJJYYYvvvgggxxxwwwjjjzzz{{{TTT666000000,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++******************************************************))))))))))))******)))***++++++++++++***))))))*********++++++++++++((()))))))))************(((((((((((())))))))))))(((((())))))))))))xxxlllhhhppp||||||bbb\\\]]]hhhuuu}}}||||||~~~yyyrrrhhhWWWKKKGGGFFFLLLSSS[[[fffpppwwwdddTTTIIIFFFDDDDDDEEEIIISSS^^^}}}{{{yyyxxxwwwxxxzzzxxxtttsssuuutttqqqwww~~~{{{oooggghhhmmmhhhdddgggoooooodddYYYUUUUUUZZZ___^^^ZZZWWWXXXZZZaaadddddd```XXXTTTTTTWWWfffvvvOOOFFFSSSggg{{{qqqqqqpppeeeOOO:::///...111///......------......//////////////////000111222///555666:::FFFNNN^^^uuu~~~gggSSSGGGCCCCCCCCCEEEHHHIIILLLXXXdddyyyqqq```]]]___iiilllyyyiiiWWWEEE???AAAGGGMMMSSSXXX^^^fffooo```III>>>===@@@>>>@@@EEEFFFEEEGGGKKKTTThhhvvvnnnuuu|||\\\EEEEEEGGGFFFVVVnnnxxxdddQQQIIIJJJPPPaaaooommmmmmppphhhFFF111000000,,,,,,,,,,,,,,,,,,,,,,,,,,,*********+++++++++++++++******************************************************))))))))))))******)))***+++,,,,,,+++***))))))***++++++,,,,,,++++++))))))))))))************(((((((((((())))))))))))(((((()))*********}}}yyyuuuwww~~~nnn\\\]]]dddqqqzzz}}}~~~}}}|||~~~~~~|||mmmfff```RRRIIIFFFGGGOOOZZZeeettt|||ppp\\\KKKEEEDDDGGGJJJLLLOOOXXXbbbwww}}}}}}{{{zzzyyywwwvvvvvvtttwwwwwwsssqqqssssssqqqppppppmmmhhhcccbbbeeehhheee^^^___gggggg]]]VVVVVVTTTZZZ```___[[[XXX[[[___eeefffccc\\\TTTQQQVVV\\\tttoooEEENNNiii{{{}}}qqqnnnYYY@@@444111000333///......------......///000////////////000111111///555333555???HHHUUUjjj}}}~~~dddMMMAAA===@@@???AAADDDHHHQQQcccssstttbbb```fffjjjuuuvvv{{{```QQQCCC???AAACCCEEEGGGEEEKKKSSS^^^rrrzzz]]]JJJ???;;;===CCC@@@BBBJJJPPPRRRRRRTTT```uuu{{{yyyxxxbbbPPPCCCBBBHHHTTTlllzzzooo]]]NNNHHHQQQ^^^tttjjj|||jjjrrrUUU::://///////+++++++++++++++++++++++++++)))*********++++++++++++************************))))))))))))))))))))))))******))))))))))))******)))***,,,------,,,***))))))***+++,,,,,,,,,++++++))))))))))))************'''((((((((()))))))))***(((((()))*********ooorrrxxxzzzxxx{{{{{{zzzyyyzzz~~~~~~tttggg^^^cccmmmzzz~~~|||~~~}}}||||||~~~~~~|||zzz{{{{{{yyyooo^^^XXXSSSGGGHHHEEEGGGQQQ^^^mmm}}}}}}{{{zzzmmmWWWEEEBBBDDDJJJQQQSSSUUU^^^gggfffooo}}}}}}{{{{{{}}}zzzzzzyyyxxxwwwvvvuuuuuurrrvvvvvvrrrppprrrrrrpppkkkjjjhhhffffffdddaaa___bbbYYYWWW^^^___XXXTTTWWWRRRZZZ``````[[[ZZZ^^^dddeeeeeeaaaYYYQQQRRRZZZbbb[[[GGG]]]pppsssoooUUU:::333444111333.........------.........000////////////000000111111666444333===DDDQQQdddpppfffOOOCCC@@@BBBBBBCCCEEEGGGQQQggg{{{yyy|||qqq```aaaooo|||uuuYYYMMMBBBAAAEEEFFFFFFFFFHHHNNNTTT^^^rrr]]]EEE?????????AAAIIIFFFJJJYYYhhhoooooonnn|||xxxqqqKKKIIIEEEBBBJJJcccwwwiiiYYYMMMKKKZZZmmmiii~~~mmmlllLLL555...///---)))++++++++++++++++++++++++))))))******++++++++++++************************((((((((((((((((((((((((******))))))))))))******)))***,,,------,,,***))))))***+++,,,---,,,++++++))))))))))))************'''((((((((())))))******(((((()))*********fffoooxxx~~~|||tttlllllldddaaaiiitttuuuooojjjeeekkkqqqxxxzzz}}}uuuuuuvvvyyy~~~zzzyyy|||~~~zzzzzz|||~~~yyyooo\\\IIIBBBEEEHHHGGGHHHOOO\\\lllzzz}}}xxxwwwpppZZZDDDCCCGGGOOOXXX```bbbaaa___\\\bbbiiimmmooorrrvvvzzz~~~vvvsssxxx}}}|||yyyuuussssssttttttsssxxxwwwvvvtttrrrpppooonnnjjjjjjjjjhhheeebbb^^^\\\[[[]]]^^^\\\XXXTTTTTTUUUQQQ\\\ccc___XXXXXX^^^bbbggg^^^XXXTTTMMMKKK\\\rrreeeOOONNNqqq~~~wwwwwwbbbIII:::333000000111........................///............//////000333111222666:::BBBPPP\\\bbbiiiNNNCCCEEEEEEBBBBBBDDDGGGRRRjjjzzzddd^^^]]]___lll|||rrrbbb___dddllltttzzz}}}xxxyyy}}}~~~zzzyyyuuujjjQQQGGGAAADDDGGGFFFEEEGGGQQQZZZdddlll{{{vvvOOOCCCBBB>>>>>>DDDHHHNNNYYYfffrrr{{{pppVVVEEEAAA@@@GGGXXXrrryyynnn\\\MMMKKKLLL```|||www{{{yyyccc>>>333222,,,+++///+++,,,,,,------,,,,,,+++,,,,,,+++******+++,,,,,,)))))))))))))))))))))))),,,)))'''((()))***(((%%%,,,++++++******++++++,,,+++))))))+++......,,,)))(((***---...---+++***+++))))))))))))***************)))(((''''''((()))***((((((((((((((()))\\\gggttt|||tttkkk[[[SSSPPPWWWbbbggghhhhhhhhhpppxxx~~~~~~yyy{{{{{{}}}|||xxxsssrrruuu|||~~~|||wwwvvvzzz}}}{{{zzz|||{{{zzz{{{}}}|||qqq^^^LLLGGGKKKIIIHHHJJJQQQ\\\iiisssxxx~~~zzzuuutttlllXXXCCCHHHKKKPPPVVVZZZ[[[ZZZXXXRRRVVVZZZ^^^bbbfffkkknnnyyy~~~{{{vvvuuuzzz~~~|||yyyuuussssssssssssrrrttttttuuutttssspppllljjjggggggggggggeeebbb___]]][[[\\\\\\YYYUUUTTTUUUWWW[[[bbbddd^^^YYY[[[```cccaaa[[[VVVSSSMMMNNN```vvv{{{UUUIII[[[~~~}}}xxxkkkYYYCCC777111......000........................///............///000000333111111555999@@@MMMYYYdddmmmSSSEEECCCGGGDDDBBBDDDGGGRRRggg{{{kkkSSSLLLLLLLLLVVVccciii```ZZZ\\\dddooo|||}}}ooogggjjjppptttnnnsss~~~uuuiii^^^KKKCCC>>>AAAEEEGGGKKKQQQ[[[cccllluuufffGGG>>>>>><<<>>>FFFMMM[[[nnnvvv```QQQDDDAAABBBOOOfffttteeeTTTJJJNNN[[[kkkooo}}}\\\:::222222---,,,000+++,,,,,,------,,,,,,+++,,,,,,+++******+++,,,,,,))))))))))))))))))))))))+++)))'''((()))***(((&&&+++******))))))******++++++***)))***---...,,,***(((+++---...,,,*********((((((((()))))))))*********)))(((''''''((()))***((((((((((((((()))SSS^^^mmm{{{}}}yyyqqqgggOOOGGGCCCGGGOOOVVV]]]cccjjjuuu{{{wwwvvvwwwxxxyyyzzz{{{||||||pppvvvxxxxxx}}}|||xxxtttrrruuuwwwwwwxxxzzz|||{{{zzz{{{}}}}}}}}}zzznnnZZZJJJHHHNNNKKKKKKLLLPPPXXX^^^ccceeeaaaaaa```___eeennnssssss|||{{{xxxvvvssskkkZZZKKKKKKMMMPPPSSSUUUVVVUUUUUUVVVWWWZZZ]]]cccjjjpppsss}}}~~~}}}yyywwwvvvxxx|||~~~zzzwwwtttrrrqqqqqqpppooooooppprrrsssqqqnnnjjjgggddddddeeedddcccaaa___^^^[[[ZZZWWWTTTRRRSSSWWWZZZccceeebbb\\\YYY]]]```aaa\\\WWWUUUSSSPPPUUUkkk\\\GGGLLLlllxxxqqqqqqZZZKKK;;;333///------///------------------------...............///000000222000111444666<<>>???>>>BBBKKKOOOOOOTTT```ooo}}}sssaaaYYY```kkkrrrttt~~~vvviii[[[PPPEEEAAA>>>@@@DDDJJJUUU___qqqwww}}}mmmUUU@@@<<<<<<<<>>333000///------///------------------------......---......///000111222000000222444888BBBLLLSSSeeemmmWWWJJJNNNOOOPPPSSSWWW]]]eeekkk}}}~~~^^^CCC===@@@>>>>>>DDDFFFJJJWWWlll~~~zzzooobbb```lll{{{rrr```PPPFFFBBBBBBAAABBBFFFRRRcccqqqrrrYYYJJJ???>>>>>>???HHHTTTkkkwww}}}eeeJJJ???AAADDDOOOaaawwwrrr]]]RRRLLLSSSeee}}}|||^^^FFF222///111...+++,,,+++,,,,,,------,,,,,,+++++++++++++++++++++++++++))))))))))))))))))))))))(((''''''((()))******)))******))))))))))))******+++***)))))))))+++,,,,,,+++,,,---,,,***(((((((((''''''''''''(((((((((((())))))(((((((((((())))))(((''''''''''''(((nnnpppsssyyy}}}}}}uuunnnRRRLLLHHHHHHGGGGGGKKKQQQcccsss|||zzzzzzzzz|||xxxrrrmmmqqqvvvyyy{{{|||~~~|||yyywwwwwwtttuuuuuutttuuuxxx|||}}}~~~|||{{{}}}zzz}}}zzzmmm[[[RRRSSSXXX]]]ZZZUUURRRQQQPPPPPPOOORRRYYY```fffooo{{{}}}{{{}}}}}}xxxpppiiidddfffjjjmmmooosssxxx|||~~~zzzuuutttwwwzzzzzzxxxwwwuuusssqqqqqqpppnnnllllllkkkiiihhhggggggggggggbbbbbbaaa___]]][[[YYYXXXWWWTTTPPPNNNPPPVVV]]]aaaaaaaaa___^^^aaaccc^^^WWWUUUQQQNNNPPPZZZnnngggKKK>>>KKKhhhyyyggg]]]===555/////////------///---------------------------------......///111111000//////222222444===FFFMMMXXXrrrwwwaaaQQQZZZ```gggllloooqqqrrrqqq```DDD???CCCAAA@@@EEEGGGKKKZZZvvvwwwsssyyyrrruuuuuutttyyyoooYYYHHH@@@===@@@CCCEEELLL]]]rrryyycccMMMEEE@@@AAAAAACCCNNNZZZwww~~~~~~dddMMMDDDDDDFFFFFF\\\xxxfffRRRPPPSSS```www|||~~~~~~sssPPP???000...000---***)))+++,,,,,,------,,,,,,+++++++++++++++++++++++++++))))))))))))))))))))))))''''''(((((())))))******+++++++++******+++++++++******)))))))))***+++---+++,,,---,,,)))(((((((((''''''''''''(((((((((((((((((())))))))))))(((((('''''''''''''''(((yyywwwwww{{{~~~zzzrrrkkkNNNJJJHHHJJJJJJIIIKKKOOO```nnn{{{~~~|||zzzxxxuuuxxxxxx{{{xxxrrrjjjqqqzzz~~~zzzvvvuuutttsssvvvxxxvvvvvv{{{~~~~~~}}}||||||}}}~~~}}}|||xxxzzzuuugggYYYSSSTTTUUUZZZWWWTTTRRRSSSSSSSSSRRRYYYcccooowwwyyy|||~~~{{{uuupppmmmqqquuuwwwxxx||||||yyy{{{xxxuuuuuuwwwwwwvvvtttvvvuuusssrrrrrrrrrpppnnnjjjiiifffeeedddeeeggghhhaaa```^^^\\\ZZZXXXWWWVVVTTTQQQNNNNNNSSSZZZ___bbb```aaabbbcccffffff^^^TTTPPPLLLKKKQQQccc|||vvvPPP>>>>>>SSSrrrlllYYY666111---//////------000,,,,,,,,,,,,,,,,,,,,,,,,---------......000111222///...///111111222999BBBMMMTTTggg}}}kkkZZZcccnnn{{{~~~zzz```DDD???BBBAAAAAAFFFJJJMMM]]]yyyyyyfffeeeoootttmmmTTTCCC===666<<>>DDDCCCRRRmmmwwwZZZLLLQQQYYYkkkzzzeeeEEE999///...///---***)))+++,,,,,,------,,,,,,+++***++++++,,,,,,++++++***))))))))))))))))))))))))'''((())))))(((((()))***,,,,,,++++++++++++,,,,,,(((*********))))))+++,,,***+++,,,+++)))(((((()))''''''((((((((()))))))))(((((())))))))))))((((((''''''&&&&&&''''''yyyqqqkkkPPPLLLJJJNNNQQQQQQRRRUUU```jjjsssuuuwww{{{~~~~~~}}}xxxsssqqqyyy}}}}}}xxxtttssssssooouuuxxxvvvvvv{{{~~~}}}|||{{{{{{{{{||||||zzzxxxttttttmmm^^^TTTRRRQQQOOOVVVWWWYYY^^^cccffffffffffffrrr~~~xxxzzz~~~{{{uuuqqqnnnsssxxx{{{|||{{{wwwtttttttttssstttuuutttsssqqqqqqpppoooooooooooommmkkkgggfffeeeeeedddeeeeeefff^^^]]][[[ZZZXXXWWWWWWVVVQQQNNNMMMPPPWWW]]]aaaccc```cccddddddeeeddd[[[QQQLLLJJJLLLZZZrrrbbbCCC>>>HHHbbbdddHHH333///---......,,,,,,///,,,,,,,,,,,,,,,,,,,,,,,,------------///000111222...---///111111111888@@@IIIOOO]]]qqq{{{yyyzzzuuugggmmm|||eeeJJJDDDEEECCCEEELLLMMMSSSddd|||~~~rrrhhhnnn|||nnnSSSCCC>>>777<<<@@@BBBLLL^^^ooowwwzzz|||{{{{{{yyyfffsss|||~~~iiiNNN@@@>>>>>>BBBHHHSSSbbboooxxx~~~|||mmm___WWW^^^iiiuuu~~~~~~|||}}}~~~rrr[[[FFF>>>AAAGGGKKKkkkwwwiiiSSSJJJQQQZZZoootttwwwUUU<<<444------//////---,,,+++,,,,,,------,,,,,,+++***+++,,,,,,,,,,,,+++***))))))))))))))))))))))))((()))+++***'''&&&((()))++++++************++++++&&&)))++++++)))(((***+++)))***+++***(((((()))+++((((((((()))))))))******'''((()))******)))(((''''''&&&&&&&&&&&&'''~~~xxxsssXXXRRROOOSSSXXXZZZ[[[\\\aaahhhmmmooouuu~~~|||xxxtttzzz|||zzz}}}}}}zzzzzz|||{{{}}}~~~|||wwwsssrrrrrrllltttxxxuuuuuuzzz}}}{{{zzzyyyyyyzzz{{{zzzwwwuuuvvvuuukkk]]]UUUTTTSSSNNNZZZ^^^fffpppzzzwwwyyyzzz~~~|||uuuqqqooouuu|||~~~wwwtttsssnnnooorrrssssssrrrqqqpppjjjiiiiiiiiijjjjjjhhhfffdddeeefffffffffeeedddddd[[[ZZZYYYXXXXXXXXXXXXXXXOOOMMMMMMRRRYYY___bbbcccaaacccdddbbbaaa^^^WWWNNNKKKKKKQQQcccwwwUUU>>>AAASSSrrrxxxUUU444222...,,,...---++++++...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------///000111222...---///111111111777???BBBHHHUUUhhhzzzvvvsssvvv}}}~~~qqqzzznnnSSSLLLKKKHHHLLLTTTQQQYYYlllxxxuuussstttpppUUUEEEBBB;;;???AAA@@@GGGVVVbbbeeelllrrrtttlllccc___]]][[[WWWgggtttwww||||||hhhNNN>>>===>>>DDDMMM[[[mmmzzzuuuzzz}}}uuufffWWWOOOMMMUUUcccsss|||{{{}}}iiiSSSAAAAAAGGGMMMVVVbbb|||ggg^^^OOOJJJQQQYYYooollluuuHHH777111,,,---///000000///+++,,,,,,------,,,,,,+++***+++,,,------,,,+++***))))))))))))))))))))))))(((***+++***'''&&&''')))******))))))))))))******%%%(((,,,,,,***((()))+++)))******)))((((((***,,,))))))))))))************'''((()))******)))(((''''''&&&&&&&&&&&&'''|||uuurrrddd^^^YYY[[[cccjjjllljjjmmmnnnoooqqquuu|||}}}{{{~~~~~~||||||{{{yyyxxxxxxxxxyyyyyyyyyyyywwwuuusssqqqooonnnnnnpppsssuuuvvvwwwyyy{{{vvvuuuuuuuuuuuuttttttttttttqqqkkkeeeaaa``````aaannnuuu|||zzzwwwxxxvvvuuuvvvrrrvvv|||~~~zzzsssllljjjiiiiiilllppprrrqqqnnnggggggggggggfffeeeddddddbbbaaa______``````^^^]]][[[XXXUUUUUUUUUTTTPPPMMMNNNNNNQQQVVV[[[^^^^^^\\\[[[^^^```^^^[[[VVVPPPKKKKKKPPP^^^zzztttaaaHHH>>>KKKiii}}}rrrsss{{{gggBBB,,,000000///...---,,,,,,+++,,,***((())),,,...---+++,,,,,,------...///000000000000000222333555777888999DDDNNN___wwwzzzwwwzzztttqqqtttwwwzzzxxx]]]KKKJJJTTT^^^eeehhhqqq{{{zzz}}}rrr[[[IIIBBBCCCCCCBBBCCCFFFMMMVVV]]]eee```XXXQQQLLLJJJJJJKKKSSSfffvvv}}}iiiMMM<<>>111000//////...------,,,,,,...,,,***+++...///...---,,,,,,------...//////000/////////000111222444444777@@@IIIZZZrrrsssqqqyyy|||yyyuuutttsssssswww~~~|||dddTTTRRR]]]jjjrrruuuzzzrrr[[[HHH@@@BBBBBBBBBCCCFFFKKKQQQUUUYYYVVVPPPJJJGGGIIIMMMQQQ```ppp~~~jjjNNNBBBEEEDDDBBBIII\\\ppp|||iii\\\RRROOOMMMNNN[[[kkkzzzxxxzzzwwwhhhWWWLLLEEECCCHHHSSScccyyyrrrcccRRRKKKMMMXXX```kkkpppnnn}}}|||^^^;;;111000///...,,,,,,,,,,,,************************++++++++++++++++++++++++++++++***)))))))))))))))---,,,+++)))))))))))))))))))))))))))))))))))))))*********)))))))))((((((+++******)))(((((())))))'''((()))++++++***)))((((((((())))))))))))((((((***)))((('''''''''|||wwwxxxzzzwwwqqqkkkmmmttt|||{{{xxx|||wwwyyy|||}}}{{{xxxvvvvvvyyyxxxvvvtttrrrrrrrrrsssrrrrrrqqqooonnnlllkkkkkkkkkmmmppppppooooooooopppqqqppppppppppppooooooooojjjkkkmmmqqquuuyyy|||~~~{{{zzzqqqqqqssssssqqqppppppuuu|||zzztttpppmmmjjjhhheeeddddddeeegggfffdddbbbfffdddaaa___^^^___aaabbbcccbbb```^^^]]]\\\[[[ZZZZZZXXXUUUTTTRRRQQQNNNKKKKKKTTT^^^aaa]]]YYYYYYZZZaaa___[[[VVVPPPMMMMMMNNNSSSccc}}}{{{RRRBBB>>>SSSuuuyyy}}}pppcccTTTCCC777222/////////...---------,,,---,,,+++,,,.........---,,,,,,------.../////////------...//////000111111444;;;AAARRRlll{{{{{{{{{~~~xxxpppmmmqqqtttxxxpppbbbaaalll}}}ttt]]]III@@@CCCCCCDDDGGGKKKNNNOOOOOONNNNNNNNNMMMNNNUUU```gggvvvqqqUUUEEEGGGGGGGGGPPPcccwwwjjjZZZOOOQQQYYYdddrrrwwwzzz{{{xxxqqqeeeUUUGGGGGGCCCDDDPPPcccyyy}}}fffTTTHHHKKKTTTaaaqqqpppfffssszzzzzznnnKKK444000000...---,,,,,,,,,,,,************************,,,,,,,,,,,,,,,,,,,,,,,,+++***)))))))))))))))))),,,+++***)))))))))))))))))))))))))))))))))))))))******))))))))))))(((((()))))))))((((((((((((((('''((()))***+++***)))((((((((())))))))))))((((((******)))(((((((((}}}zzzzzz~~~wwwwww}}}zzzuuuvvvxxxtttuuuwwwvvvuuusssssssssuuutttrrrooonnnmmmmmmmmmnnnmmmmmmkkkjjjiiihhhhhhfffiiilllmmmlllkkkkkkllllllkkkkkkkkkjjjjjjjjjjjjhhhjjjmmmppptttwwwzzz{{{{{{|||uuuooopppssstttrrroooqqqsssxxx|||sssrrrppplllhhheeedddeee______aaabbbddddddcccbbbeeedddbbb```______```aaa\\\\\\\\\ZZZYYYYYYZZZ\\\WWWUUUSSSQQQOOONNNLLLKKKNNNWWW``````YYYTTTVVV[[[```[[[UUUOOOJJJIIINNNUUUccczzzvvv^^^IIIAAAIIIgggyyyqqqooocccMMM:::111000///...............---------++++++++++++,,,,,,++++++---------.........//////++++++---...///000111111222777;;;LLLgggvvv|||ooohhhkkkkkkiiiuuu|||qqqqqq}}}xxx```KKKBBBDDDFFFJJJQQQWWWYYYWWWTTTRRRWWW]]]cccjjjttt~~~eeeSSSUUUXXX```ooowwwmmmgggmmmxxx~~~rrrvvvvvvnnn```QQQEEE???BBBCCCKKK^^^vvvoooYYYJJJEEEPPP```rrryyyjjjkkk~~~~~~sssSSS:::000000///...---,,,,,,,,,,,,************************++++++++++++++++++++++++******)))))))))))))))***++++++***)))))))))))))))(((((((((((((((((((((((())))))))))))))))))(((((())))))))))))))))))(((((('''((())))))******))))))(((((())))))))))))(((((())))))((((((((((((uuuzzz}}}{{{||||||}}}zzzwwwsssppprrrssstttsssqqqqqqrrrsssrrrpppnnnllljjjjjjjjjjjjjjjjjjiiihhhgggfffeeedddaaadddhhhjjjjjjiiiiiijjjgggfffffffffeeeeeeeeeeeefffhhhjjjmmmppprrrssssssvvvzzz~~~vvvssspppppptttvvvsssooooooooorrrxxx~~~zzzuuuqqqgggiiiiiigggcccaaaaaabbb___```bbbcccccccccbbbbbbdddeeeeeeeeedddbbb```___XXXYYYXXXVVVTTTSSSUUUXXXSSSRRRQQQOOOMMMLLLLLLMMMSSSXXX\\\YYYSSSQQQWWW]]]\\\UUUNNNJJJHHHJJJVVVddd|||tttXXXGGGAAAMMMfff}}}vvvkkkeeeTTT===...,,,---,,,---------...............+++,,,---------,,,,,,+++---------...............)))***,,,///111222222333000444777FFFaaaqqq}}}qqqggghhhfffaaajjjzzz~~~zzzbbbMMMDDDEEEKKKUUU```hhhkkkiiigggkkkrrr|||zzzuuuuuuxxx~~~xxxrrrrrrpppjjj^^^MMMBBB???BBBGGGOOO^^^tttppp]]]OOOKKKNNN^^^qqqnnnkkkzzz^^^@@@111//////...---,,,,,,,,,,,,,,,************************))))))))))))))))))))))))***)))))))))))))))******************)))))))))((((((((((((((((((((((((((((((((((((((((((((())))))))))))***++++++******)))''''''((()))))))))))))))(((((())))))))))))(((((('''''''''&&&&&&'''wwwyyy|||~~~||||||}}}|||{{{{{{~~~}}}{{{}}}{{{zzzyyytttoooqqqrrrsssrrrppppppqqqrrrpppooommmkkkiiiiiiiiijjjiiihhhgggfffdddcccbbbaaa^^^bbbfffhhhiiihhhhhhhhhddddddcccccccccbbbbbbbbbdddeeehhhkkkmmmoooqqqqqqqqqttt|||{{{uuurrrrrrpppooorrruuusssnnnjjjjjjlllrrrxxxzzzyyyvvvqqqqqqqqqpppnnnmmmlllkkkbbbcccdddcccaaa```aaaaaadddfffgggfffdddaaa``````dddeeefffgggfffccc___]]]ZZZZZZYYYTTTNNNLLLNNNPPPOOOOOOOOONNNMMMMMMPPPRRRYYYXXXVVVSSSQQQSSSYYY^^^XXXPPPKKKKKKMMMTTTgggzzzyyyYYYGGG@@@GGGiii}}}gggqqqaaaHHH444---//////+++,,,---------.../////////...000222222000///...///........................)))+++---000111222222222000333444AAAYYYiiiwwwwwwllliiigggccceeemmmsss{{{{{{eeeRRRJJJKKKVVVfffuuu~~~{{{vvvtttpppjjjnnneeeZZZMMMBBB===DDDMMMYYYfffyyyvvvaaaOOONNNWWWbbbtttqqq|||oooMMM777000///......---,,,,,,,,,,,,,,,************************)))))))))))))))))))))))))))))))))))))))******+++((())))))******)))(((((())))))))))))))))))))))))''''''(((((((((((())))))((()))+++,,,,,,+++******'''''''''((((((((())))))(((((())))))))))))(((((('''&&&&&&&&&&&&'''yyywwwwwwzzz||||||wwwsssvvvxxxzzzzzzzzzzzz{{{}}}{{{zzzyyy|||zzzvvvwwwvvvsssooooooppprrrqqqpppooopppqqqpppooonnnlllkkkkkkllllllhhhgggfffdddbbb```___^^^___bbbgggiiihhhfffeeeeeedddcccccccccbbbbbbbbbbbbdddeeegggiiikkkmmmoooppppppooosss~~~}}}vvvrrrqqqooopppooolllnnnrrrpppkkkhhhggghhhmmmrrrtttqqqmmmiiiiiiiiiiiihhhgggeeeddd_________```aaabbbccccccfffhhhjjjhhheeebbbaaabbbcccdddddddddbbb```]]]\\\ZZZ[[[YYYSSSLLLIIIKKKNNNMMMNNNOOOOOOOOOQQQUUUYYY]]]WWWQQQPPPTTTYYY]]]]]]VVVOOOLLLQQQWWWbbb{{{___IIIDDDEEE\\\tttgggiiixxx]]]>>>//////000...***,,,,,,------...//////000///222555444222000///000........................+++---///000111000///...000333333;;;OOO^^^nnntttmmmllljjjfffbbbgggnnnyyymmm]]]VVVXXXhhh}}}}}}tttoooooommmiiicccWWWJJJCCCAAACCCMMMXXXnnn~~~{{{jjjUUUIIISSSeeeyyy~~~[[[>>>777444---------,,,,,,++++++,,,,,,************************)))))))))))))))))))))))))))))))))))))))***++++++'''((()))******)))(((((())))))))))))))))))))))))'''''''''((((((((())))))'''(((***+++,,,+++***)))'''''''''''''''((())))))(((((())))))))))))(((((('''''''''''''''(((uuuttttttvvvyyyyyyuuuqqqsssuuuwwwxxxxxxzzz|||~~~|||{{{zzz{{{|||zzzwwwtttrrrqqqooonnnnnnoooqqqqqqpppoooppppppqqqqqqooonnnmmmnnnnnnooohhhgggfffdddaaa___^^^]]]aaadddhhhiiihhheeeccccccddddddddddddccccccccccccfffffffffgggiiikkkmmmnnnqqqkkkkkkttt{{{}}}~~~wwwooolllmmmooolllooommmiiikkkooonnnhhhhhhffffffiiinnnnnnjjjeeefffgggiiiiiigggccc```]]]^^^\\\\\\^^^bbbdddeeeeeedddgggiiiiiifffdddeeefffcccbbbaaa___]]]\\\\\\\\\XXXYYYXXXRRRLLLJJJMMMQQQLLLNNNPPPQQQQQQTTTYYY^^^___VVVOOOPPPXXX______\\\VVVOOONNNVVV___mmmnnnOOOBBBEEEKKKmmmxxxgggaaawwwzzzYYY888,,,......***(((+++,,,,,,---...///000000...111444444111......///.....................------...000000000...,,,***000444222888HHHVVVggg~~~zzzqqqpppppphhh]]]```eeeppp~~~uuugggbbbeeewwwyyyooolllmmmmmmjjjZZZMMMAAA@@@DDDJJJUUU___|||sssbbbPPPIIIYYYoooyyyKKK666999777+++------,,,+++++++++,,,,,,************************************************))))))((())))))***++++++'''((()))******)))(((((())))))))))))))))))))))))&&&'''''''''(((((())))))%%%''')))***+++***)))((('''''''''''''''((())))))(((((())))))))))))((((((((((((((((((((()))pppqqqssstttsssrrrpppnnnpppqqqsssuuuvvvwwwxxxxxxzzzzzzyyyzzz{{{}}}~~~xxxvvvtttqqqooonnnmmmmmmnnnnnnmmmmmmmmmmmmnnnnnnnnnooommmjjjjjjmmmlllhhhffffffeeeccc```______```fffgggggggggfffeeeddddddhhhiiiiiihhheeebbbaaaaaaaaabbbdddgggiiikkkllllllggghhhkkknnnpppqqqrrrrrrqqqpppooommmkkkiiihhhgggdddfffggghhhiiiiiihhhhhhfffeeefffggghhhgggeeeccceeefffffffffeeecccaaa```[[[]]]______^^^]]]^^^___```aaabbbbbbbbbbbbaaaaaa___^^^]]]\\\[[[ZZZZZZZZZWWWVVVTTTQQQNNNMMMOOORRRTTTNNNIIILLLTTTZZZ\\\ZZZZZZSSSRRR[[[bbbaaa[[[WWWSSSRRRWWWdddxxxfffQQQ@@@777EEE[[[{{{tttdddaaannnpppbbbHHH111...111---***+++,,,++++++******++++++,,,---------.........//////,,,///111///,,,---222777888666111---++++++,,,.........111555:::CCCVVVggg|||uuujjjbbbfffccchhhuuu}}}tttoookkkmmmqqqmmm]]]MMMEEEDDDCCCDDDLLL\\\ppp~~~rrr[[[RRRPPPXXXppp___???222000///,,,......------,,,+++******))))))***++++++++++++******************)))(((''''''(((((()))***+++++++++))))))))))))))))))))))))+++******)))(((''''''&&&***************)))(((((((((((((((((((((((((((((((((((())))))((('''&&&&&&))))))(((((('''''''''&&&((((((((((((((((((lllmmmnnnooonnnmmmkkkiiimmmmmmooopppqqqrrrrrrrrrtttttttttuuuvvvyyy{{{||||||||||||||||||zzzvvvrrrsssrrrpppnnnlllkkkkkkkkkhhhhhhhhhiiijjjlllnnnnnnkkkkkkiiiffffffiiihhhdddffffffeeebbb___]]]]]]^^^bbbcccdddfffggghhhhhhhhhhhhiiiiiihhheeecccbbbbbbdddeeefffhhhiiijjjjjjkkkjjjkkkkkkllllllkkkiiiiiiooonnnmmmkkkiiigggfffeeecccdddeeeggghhhggggggfffdddccccccdddfffgggfffdddccccccddddddcccaaa```___ZZZ\\\^^^^^^]]]\\\]]]^^^]]]^^^___```aaabbbbbbccc^^^]]]\\\[[[ZZZYYYYYYYYYWWWVVVSSSPPPMMMLLLNNNQQQLLLKKKKKKQQQXXX]]]^^^]]]YYYUUUUUU\\\```\\\VVVRRRTTTYYYcccssskkkPPPDDD>>>BBBXXXqqq|||sssjjjVVVeeeooobbbNNN:::,,,---111...+++,,,,,,++++++******++++++,,,))))))*********+++++++++'''***,,,+++***+++000555444222///,,,+++,,,...///000///111333444:::IIIWWWqqq{{{qqqiiifffaaaaaagggnnnttt}}}}}}vvvrrrmmmllliiifffbbbYYYKKKAAA===BBBJJJUUUeeezzzvvveeeUUUQQQUUUccc~~~zzz|||QQQ888000...---,,,---------,,,+++*********))))))***+++++++++++++++)))************))))))((('''(((((()))******++++++))))))))))))))))))))))))*********)))((('''''''''))))))******))))))((('''((((((((((((((((((((((((((((((((((((((('''&&&&&&)))(((((((((''''''''''''((((((((((((((((((jjjjjjkkkkkkjjjiiigggfffjjjjjjkkklllmmmmmmmmmmmmnnnnnnnnnoooqqqrrrtttuuuuuutttrrrrrrrrrqqqooommmmmmlllkkkiiihhhhhhhhhhhhdddddddddeeeggghhhjjjkkkhhhiiigggcccdddfffeeeaaaeeeeeedddaaa]]][[[[[[\\\aaabbbdddfffggghhhiiiiiiiiijjjjjjhhhfffddddddeeehhhhhhhhhhhhhhhhhhhhhhhhkkkkkkkkkjjjhhhgggeeedddjjjjjjiiigggfffdddcccbbb```aaacccdddeeeeeeddddddaaa______```bbbddddddddd``````aaaaaaaaa```^^^]]]ZZZ[[[]]]]]]\\\\\\\\\]]]ZZZZZZ[[[]]]^^^aaabbbddd\\\\\\ZZZYYYXXXWWWWWWWWWVVVUUUSSSOOOLLLKKKMMMOOOFFFJJJOOOUUUZZZ[[[[[[[[[XXXVVVXXX\\\\\\VVVSSSTTTZZZiiiyyyqqqXXXAAA;;;???MMMgggmmmsssrrrRRRQQQmmmqqqTTT:::///***...111---***+++++++++************++++++'''(((((((((((()))))))))(((+++------,,,...222666///---,,,++++++---///111000///000111111333>>>III___sss{{{sssllleee^^^\\\\\\```kkkuuuwwwppplllkkklllmmmkkkcccUUUHHH@@@>>>>>>HHHWWWhhhzzz|||cccYYYRRRUUU___ttthhhzzzjjj@@@111000---,,,...,,,,,,,,,+++******))))))))))))******++++++++++++((())))))************)))'''(((((())))))******+++))))))))))))))))))))))))******))))))((((((''''''((())))))))))))(((''''''(((((((((((((((((((((((((((((((((((((((''''''&&&((((((((((((''''''''''''((((((((((((((((((kkkkkkkkkkkkjjjhhhfffeeeggghhhjjjkkklllmmmmmmnnnlllllllllllllllmmmnnnnnnrrrpppnnnmmmnnnnnnmmmkkkgggggggggffffffffffffffffffeeeeeeddddddeeeeeefffiiiiiigggcccdddfffeeeaaacccdddcccaaa^^^]]]]]]^^^ddddddeeefffgggggggggfffiiijjjjjjiiigggfffggghhhkkkjjjiiihhhgggfffeeeeeeggggggggghhhhhhhhhggggggeeeeeedddcccbbbaaa```___]]]^^^```aaabbbbbbaaa```^^^\\\[[[[[[]]]_________]]]^^^___``````___^^^]]]ZZZ\\\]]]]]]\\\[[[\\\]]]YYYYYYYYYZZZ\\\^^^```aaa\\\[[[YYYXXXWWWWWWVVVVVVUUUTTTRRRNNNKKKJJJLLLNNNJJJOOOUUUXXXWWWUUUUUUUUUWWWWWWXXXYYYVVVSSSVVV]]]ggg}}}sss___KKK<<<>>>JJJ]]]wwwnnn{{{]]]OOOYYYnnnfffEEE333///...111111,,,)))+++++++++************++++++)))))))))*********++++++***,,,...------...111444+++++++++++++++---...///...---///222222333:::CCCSSSdddxxx}}}wwwpppeee[[[UUUVVV^^^eeettt}}}xxxqqqllliiihhhhhhgggeeebbbYYYLLLAAAAAAFFFIIIVVVhhh|||xxxjjjZZZWWWXXXaaasssrrrvvv\\\555...222...,,,111+++++++++*********))))))***************+++++++++'''((()))***************(((((((((((())))))******))))))))))))))))))))))))***)))))))))((((((((('''(((((((((((((((''''''&&&(((((((((((((((((((((((('''(((((((((((((((''''''((((((((((((((('''''''''((((((((((((((((((mmmlllkkkjjjiiigggfffeeedddeeegggiiikkklllmmmmmmmmmllllllkkkkkkjjjiiihhhllljjjhhhggghhhiiihhhhhhdddeeeeeeeeeeeeeeeeeeeeeeeeeeeddddddddddddeeeeeefffgggeeebbbcccfffeeeaaa```aaabbbaaa```___aaacccddddddeeefffgggggggggfffiiijjjjjjiiiggggggiiikkkkkkjjjhhhfffdddcccccccccbbbbbbcccdddeeeffffffgggaaa``````___^^^]]]]]]\\\ZZZ[[[]]]^^^______^^^^^^]]]ZZZXXXWWWXXXYYYYYYXXX[[[\\\]]]^^^______^^^^^^[[[\\\^^^^^^\\\[[[\\\\\\ZZZZZZZZZZZZZZZZZZ[[[[[[[[[ZZZYYYWWWVVVVVVUUUUUUTTTSSSQQQMMMKKKJJJMMMOOORRRVVVZZZZZZWWWTTTUUUWWWYYYWWWUUURRRMMMNNNXXXeeeuuunnnTTTFFF===;;;HHH\\\rrr{{{{{{fffXXXaaagggbbbMMM333000/////////---******---+++******))))))******+++*********++++++++++++,,,)))*********))))))***+++++++++++++++,,,,,,,,,,,,,,,,,,...111222222777===JJJVVVfffvvvzzzooobbbXXXVVVVVVWWW]]]iiiyyy~~~|||zzz{{{vvvppplllkkkhhhbbb^^^UUUOOOJJJFFFBBB@@@HHHSSS]]]kkk|||eeeWWWUUUZZZddduuuwwwPPP000...222---+++000++++++************************)))))))))***+++,,,'''((()))***************((((((((((((((()))))))))(((((((((((((((((((((((())))))))))))(((((((((((((((((((((((((((''''''&&&))))))))))))))))))))))))''''''(((((((((((((((''''''''''''(((((((((((((((((((((((((((((((((lllllljjjhhhfffeeecccccc```aaaccceeeggghhhiiiiiikkkkkkkkkjjjiiihhhfffeeeiiihhhffffffggghhhggggggccccccdddeeeeeeddddddccc``````aaabbbccceeefffgggaaabbbaaa^^^___cccbbb___^^^```aaaaaa```aaaccceeeaaabbbdddfffggghhhiiiiiifffggggggfffeeefffhhhkkkiiigggeeecccaaa``````aaa```_______________```aaa]]]]]]\\\\\\[[[[[[[[[ZZZXXXYYY[[[\\\]]]]]]\\\\\\[[[YYYWWWVVVVVVVVVUUUTTTXXXYYY[[[]]]^^^^^^^^^^^^ZZZ\\\]]]]]][[[ZZZZZZ[[[ZZZ[[[[[[ZZZZZZYYYWWWWWWYYYXXXWWWUUUTTTTTTSSSSSSRRRRRRPPPMMMKKKLLLNNNQQQVVVYYY\\\\\\[[[ZZZ\\\___[[[WWWRRRMMMJJJNNN]]]mmmpppaaaOOO>>>:::;;;DDDWWWlllzzzeeegggyyyrrrVVV<<<++++++++++++***))))))+++...******))))))))))))******))))))))))))************,,,+++++++++***))))))(((++++++,,,,,,,,,,,,++++++...,,,---//////---///444CCCOOO^^^nnnxxxkkkbbb]]]WWWPPPPPPUUU]]]hhhuuu~~~yyyvvvrrrooolllllljjjbbbUUUJJJFFF???===BBBGGGNNN]]]lll|||iiiVVVNNNSSScccyyy___EEE///---///+++***---+++++++++++++++++++++++++++***)))))))))***,,,---((())))))************)))(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))((((((((((((((())))))))))))(((''''''))))))))))))))))))))))))&&&'''(((((((((((((((((('''''''''(((((((((((((((((((((((((((((((((mmmllljjjhhhfffdddcccbbbaaabbbccccccddddddddddddffffffgggggggggfffeeedddhhhgggfffggghhhiiihhhfffbbbbbbcccddddddcccbbbaaa]]]]]]]]]^^^___aaacccddd]]]^^^]]][[[]]]aaaaaa^^^^^^___``````______aaacccbbbcccdddfffggghhhhhhhhhbbbbbbbbbbbbaaacccfffhhheeedddaaa___^^^^^^______^^^^^^]]]\\\\\\]]]^^^^^^ZZZZZZZZZZZZZZZYYYYYYYYYWWWXXXZZZ[[[\\\\\\[[[[[[YYYXXXWWWWWWXXXXXXVVVTTTTTTVVVXXXZZZ\\\\\\\\\\\\XXXZZZ[[[ZZZYYYWWWWWWXXXYYYZZZ[[[\\\[[[YYYVVVTTTVVVUUUSSSRRRQQQQQQPPPPPPQQQQQQPPPNNNLLLMMMPPPSSSVVVXXX[[[]]]^^^^^^______XXXTTTQQQOOOQQQZZZlll}}}~~~jjjVVVHHH>>>888===DDDSSSfffwwwuuulllvvvlllMMM888---***+++***))))))***++++++******))))))))))))******(((((()))))))))*********,,,,,,,,,,,,,,,,,,+++***)))***,,,---...---,,,+++///,,,,,,...---+++,,,111888HHH[[[hhhvvvyyyrrrmmmbbbVVVNNNMMMNNNRRR\\\kkk|||yyytttrrrhhheeebbb___YYYPPPEEE>>>BBB???EEERRR\\\fffyyy|||jjjVVVOOOTTT]]]yyyaaaHHH===222...---++++++---+++++++++,,,,,,,,,,,,,,,+++***)))((()))***,,,---)))************))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))******))))))((('''))))))))))))))))))))))))&&&&&&'''(((((((((((((((''''''''''''((((((((()))((((((((((((((((((ooonnnllliiigggeeedddddddddeeeeeeddddddcccbbbaaaaaabbbccceeeeeeeeeddddddccccccbbbdddeeefffdddcccaaabbbcccccccccbbbaaa```]]]\\\\\\\\\\\\\\\\\\]]]\\\]]]\\\[[[]]]bbbbbb___^^^___```___]]]]]]___aaafffgggggggggfffeeedddddd^^^______^^^^^^```cccfffbbbaaa___]]]\\\]]]^^^___]]]]]]\\\\\\]]]___aaabbbYYYYYYYYYYYYYYYYYYYYYYYYWWWXXXYYY[[[[[[[[[[[[ZZZWWWWWWWWWYYYZZZZZZXXXVVVRRRSSSVVVXXXZZZ[[[[[[[[[VVVXXXYYYXXXWWWUUUUUUVVVWWWXXX[[[]]]\\\ZZZVVVTTTSSSRRRQQQPPPOOONNNNNNNNNPPPPPPOOONNNMMMNNNRRRUUUUUUWWWZZZ]]]^^^^^^\\\ZZZTTTQQQQQQUUU[[[hhh|||}}}kkkXXXHHH===::::::===HHH[[[oookkklllwwwuuu\\\EEE777------...---++++++,,,***(((******))))))))))))******************++++++++++++'''''''''(((******)))(((''')))+++...//////...---///,,,+++......---///333***???VVVaaaiiiyyy}}}ooo```OOONNNMMMKKKNNNXXXfffpppvvvooojjjhhh```]]]VVVLLLCCC>>>======AAACCCPPPaaallluuuqqq\\\LLLPPP___kkkzzzpppFFF;;;:::666111------///000,,,,,,,,,,,,,,,,,,,,,,,,+++***)))((((((***,,,---***************)))((('''((((((((((((((('''''''''(((((((((((((((((((((((((((((((((((())))))))))))***************)))(((((())))))))))))))))))))))))&&&&&&'''((())))))((((((&&&'''''''''(((((())))))((((((((((((((((((pppooollliiifffdddbbbbbbddddddcccbbbaaaaaaaaaaaa___``````aaabbbcccccccccbbbdddeeeeeecccbbbbbbccccccbbbaaaaaaaaa```]]][[[[[[[[[ZZZZZZ[[[[[[\\\]]]^^^^^^]]]]]]]]]^^^^^^___```````````````aaabbbbbb```___^^^___aaaaaa```___```______^^^___aaacccddd^^^^^^^^^^^^]]]\\\[[[ZZZYYYYYYYYYYYYYYYYYYYYYYYYXXXYYYZZZ[[[[[[ZZZYYYXXXWWWXXXZZZ[[[ZZZXXXUUUSSSUUUVVVXXXZZZ[[[ZZZZZZYYY]]]XXXTTTRRRUUUWWWXXXXXXXXXWWWWWWVVVVVVWWWWWWXXXUUUUUUUUUUUUUUUUUUUUUTTTSSSQQQNNNLLLLLLLLLNNNOOOPPPPPPOOOPPPQQQSSSUUUVVV^^^YYYYYY^^^```[[[WWWYYYRRRTTTTTTXXXhhh~~~lllOOOFFFCCC;;;999@@@===RRRfffpppllldddlllhhhTTTCCC;;;333)))+++++++++*********))))))))))))))))))))))))))))))************************)))************+++++++++,,,+++*********+++,,,---,,,,,,,,,---------......222888EEETTTbbbrrr{{{qqq___XXXRRRPPPOOOPPPUUU\\\nnnxxxyyypppggg```\\\MMMGGGDDDEEECCC???@@@EEEGGGTTTgggwwwsssbbbQQQLLLYYYkkk}}}YYY===666333///+++)))***,,,---************************+++*********))))))(((((())))))))))))))))))))))))''''''(((((())))))******)))))))))))))))))))))))))))((('''&&&&&&'''((()))''''''((((((((((((''''''((((((((((((((((((((((((''''''((((((((((((''''''((((((''''''''''''((((((((((((((((((((((((pppnnnllljjjgggeeeddddddccccccccccccbbb```___]]]___^^^^^^^^^^^^___``````^^^___aaaaaa___^^^^^^______^^^^^^^^^^^^]]]ZZZXXXYYYYYYZZZZZZ[[[\\\\\\]]]\\\\\\\\\\\\]]]^^^___```______^^^^^^^^^___```aaa___]]]\\\[[[\\\\\\\\\ZZZ______^^^^^^^^^______```^^^^^^^^^^^^]]]\\\[[[ZZZYYYYYYYYYYYYYYYYYYYYYYYYXXXXXXXXXYYYYYYXXXXXXXXXUUUVVVWWWWWWWWWUUUSSSQQQVVVWWWXXXYYYYYYYYYYYYYYYZZZWWWRRRQQQSSSVVVWWWWWWVVVVVVUUUUUUUUUUUUVVVVVVVVVVVVVVVVVVUUUUUUUUUUUUOOOOOOMMMKKKJJJIIIIIIIIIOOOOOOOOOOOOPPPRRRTTTUUU```\\\\\\___^^^XXXVVVXXXQQQXXXbbbpppuuu\\\FFF>>>:::444:::GGGUUUcccsssnnnaaaoooeeeRRR>>>444333000,,,+++++++++*********))))))))))))))))))))))))))))))************************))))))*********+++++++++++++++*********+++,,,---,,,,,,,,,,,,------------111333===MMM]]]mmm~~~nnnfff^^^XXXRRRLLLKKKNNNSSS[[[dddkkkvvv~~~|||{{{yyywwwwwwwwwxxxyyy~~~{{{yyy||||||xxxyyyuuuooofff]]]TTTMMMJJJCCC>>>;;;===>>>???FFFNNN```nnnvvvkkk^^^UUUSSS[[[qqqpppvvvdddBBB444333111...,,,++++++,,,---************************************)))))))))((())))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))***)))(((''''''((()))***''''''((((((((((((''''''((((((((((((((((((((((((''''''((((((((((((''''''((((((''''''''''''((((((''''''''''''''''''kkkkkkiiihhhfffeeeccccccbbbcccccccccbbb```^^^\\\^^^]]][[[ZZZZZZZZZ[[[\\\[[[\\\^^^^^^]]]\\\\\\]]][[[ZZZYYYYYYZZZYYYWWWUUUUUUWWWYYY[[[\\\]]]\\\\\\YYYYYYZZZ[[[\\\^^^___```]]]\\\\\\[[[[[[]]]^^^___ccc```]]]\\\\\\]]]\\\[[[\\\]]]^^^^^^^^^]]][[[[[[]]]]]]]]]]]]\\\[[[ZZZZZZYYYYYYYYYYYYYYYYYYYYYYYYWWWWWWWWWVVVVVVWWWWWWWWWVVVVVVVVVUUUUUUTTTSSSSSSXXXXXXWWWWWWWWWXXXXXXYYYWWWUUUQQQPPPRRRTTTUUUVVVTTTTTTTTTTTTTTTTTTTTTTTTUUUTTTTTTTTTSSSSSSSSSRRRLLLLLLKKKJJJHHHFFFEEEDDDOOOOOOOOOPPPQQQRRRSSSTTT[[[YYYXXXXXXUUUQQQRRRUUU]]]iiizzz}}}kkkQQQCCC999777777:::MMMccc|||kkkaaaiiiqqqWWW;;;...---...,,,,,,+++************)))))))))))))))))))))))))))))))))************************)))))))))*********+++++++++************+++,,,,,,++++++,,,,,,,,,---------......444BBBSSSbbbqqq}}}}}}{{{rrrjjj^^^RRRKKKJJJFFFIIIKKKNNNVVVccclllooo}}}}}}}}}yyytttsssvvvyyyzzzzzzyyywwwvvvyyy}}}}}}~~~}}}}}}~~~~~~~~~zzzuuunnngggddd___[[[UUUMMMFFF@@@<<<:::AAA>>>>>>CCCJJJSSS```lll~~~}}}fffZZZQQQSSSbbbzzz{{{rrrnnnEEE000000000///...---,,,,,,,,,,,,************************************))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))***))))))(((((())))))***''''''((((((((((((''''''((((((((((((((((((((((((''''''((((((((((((''''''((((((''''''''''''((((((''''''''''''''''''eeeeeeeeedddcccbbbaaa```bbbbbbbbbaaaaaaaaaaaaaaa]]]\\\ZZZXXXWWWWWWXXXXXXZZZ\\\^^^^^^]]]]]]]]]^^^YYYXXXVVVVVVWWWWWWUUUSSSRRRTTTWWWZZZ\\\]]]\\\\\\YYYYYYYYYYYYZZZ[[[\\\]]][[[ZZZYYYXXXXXXZZZ[[[\\\bbb___\\\[[[\\\]]]]]]]]]YYYZZZ\\\^^^^^^]]][[[YYY[[[\\\\\\\\\[[[[[[ZZZYYYXXXXXXXXXXXXXXXXXXXXXXXXXXXWWWVVVUUUUUUVVVWWWXXXZZZYYYXXXWWWVVVVVVWWWXXXYYYXXXWWWVVVVVVVVVWWWXXXVVVTTTRRRQQQQQQSSSTTTUUUSSSSSSSSSTTTTTTSSSSSSSSSRRRRRRRRRQQQPPPPPPOOOOOOLLLKKKIIIHHHGGGGGGHHHHHHPPPPPPQQQQQQRRRSSSTTTTTTUUUSSSRRRPPPPPPRRRYYY___mmmzzzzzz^^^JJJ@@@888444888>>>KKKfffpppYYYaaauuubbbFFF///...222...))))))************))))))))))))))))))))))))))))))))))))************************))))))))))))***************************++++++,,,++++++++++++,,,,,,,,,,,,,,,+++///999FFFTTTggguuu~~~rrrcccYYYVVVNNNKKKGGGCCCCCCGGGLLLOOO]]]bbbiiipppvvv}}}~~~~~~xxxssstttzzz~~~|||{{{|||~~~~~~}}}}}}|||{{{zzz{{{}}}|||yyyxxx{{{{{{}}}}}}zzzxxxvvvtttrrrrrrpppnnnjjjddd^^^XXXUUUMMMJJJEEE@@@===<<<<<<<<>>>>>AAADDDFFFIIISSSaaaooo~~~zzziii^^^WWW[[[ggg}}}kkk___WWW<<<666444...,,,,,,---......---,,,+++************************))))))))))))))))))******))))))))))))))))))))))))******))))))((((((''''''((((((((((((((((((((((((''''''''''''''''''''''''''''''((((((((((((''''''((((((((((((((((((((((((''''''((((((((((((''''''((((((''''''''''''((((((''''''''''''''''''bbbcccddddddcccbbb```___bbb```^^^^^^___aaadddfffZZZZZZYYYXXXVVVUUUTTTSSSSSSUUUXXXYYYXXXYYYZZZ[[[[[[YYYWWWWWWXXXXXXXXXWWWQQQSSSUUUXXXYYYZZZ[[[[[[YYYYYYXXXWWWVVVVVVVVVVVVXXXVVVTTTSSSSSSUUUXXXYYYWWWVVVVVVXXXZZZ\\\[[[ZZZSSSUUUXXX\\\]]]]]]\\\[[[XXXYYYYYYZZZZZZYYYXXXXXXWWWWWWWWWWWWWWWWWWWWWWWWXXXWWWWWWVVVVVVWWWWWWXXXXXXWWWUUUUUUUUUUUUVVVWWWVVVVVVUUUUUUUUUVVVVVVWWWVVVVVVUUUSSSQQQPPPQQQSSSRRRRRRTTTTTTTTTTTTRRRRRRTTTTTTSSSRRRQQQPPPPPPOOOMMMLLLKKKKKKMMMPPPSSSUUUQQQRRRSSSTTTTTTTTTTTTSSSOOOPPPPPPTTT```ppp|||{{{eeeMMM@@@<<<888777===LLL^^^ssslllXXX]]]kkkdddPPP<<<...''',,,---'''(((///(((((()))))))))))))))***))))))))))))))))))))))))))))))))))))))))))))))))((((((((()))))))))******((()))******++++++******))))))*********+++++++++))),,,///000000999PPPeeexxxvvveee___XXXRRRKKKCCC@@@AAA???@@@EEEQQQ```lllrrrtttxxx{{{~~~~~~{{{|||~~~~~~{{{xxxxxxyyyzzz{{{||||||}}}zzzzzz{{{|||}}}}}}}}}~~~}}}{{{yyyzzz|||~~~~~~~~~{{{uuupppooosssvvvvvvuuuwww{{{|||zzzzzzyyyxxxwwwuuurrrnnnkkkhhhfffbbb```YYYWWWSSSMMMHHHCCC???======<<<===>>>BBBHHHNNNRRR^^^mmm{{{jjj]]]XXX]]]lllpppggg}}}zzz~~~kkkCCC222333111(((,,,------------,,,,,,+++************************))))))))))))************))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))%%%&&&&&&''''''&&&&&&%%%''''''((((((((((((''''''((((((((((((((((((((((((''''''((((((((((((''''''((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&bbbcccddddddcccaaa___^^^________________________VVVWWWXXXWWWVVVTTTQQQPPPPPPRRRUUUVVVVVVWWWXXXYYY\\\ZZZWWWWWWXXXYYYYYYXXXRRRSSSTTTVVVWWWYYYZZZZZZWWWWWWVVVUUUUUUUUUVVVVVVWWWUUUSSSQQQRRRTTTWWWYYYXXXXXXYYY[[[]]]]]][[[YYYSSSTTTWWWYYYZZZZZZZZZYYYWWWXXXXXXYYYYYYYYYXXXXXXVVVVVVVVVVVVVVVVVVVVVVVVUUUUUUVVVVVVVVVVVVUUUUUUTTTTTTTTTSSSTTTTTTTTTUUUSSSTTTUUUVVVVVVVVVVVVVVVUUUVVVUUURRROOOMMMNNNOOOPPPQQQRRRSSSSSSRRRQQQPPPSSSRRRQQQPPPOOONNNNNNMMMKKKLLLMMMOOOPPPQQQRRRRRRPPPPPPRRRRRRSSSRRRRRRQQQMMMPPPTTT\\\mmm~~~wwwhhhZZZKKK<<<666777666>>>OOObbbtttnnnaaaQQQOOO]]]eeeUUU===444,,,((())))))''')))---(((((((((((())))))******))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((()))))))))***'''((()))***+++******)))))))))))))))*********+++***+++...///---222AAAQQQlll~~~wwwlllcccWWWJJJDDDDDDCCCCCCDDDHHHMMMSSSWWWZZZcccgggmmmrrruuuxxx|||yyyyyyzzzzzzzzzzzz{{{|||xxxyyy{{{}}}~~~}}}|||||||||zzzxxxyyy|||}}}}}}{{{{{{{{{yyysssmmmlllppptttpppoooqqqvvv}}}~~~yyyzzz|||{{{zzzzzz{{{|||xxxtttooommmmmmlllkkkiiifffccc___\\\YYYVVVRRROOOIIIHHHEEECCC@@@???>>>>>>>>>AAAEEEMMMWWWaaajjjooo|||lll]]]ZZZ^^^tttqqqhhh~~~rrrMMM888222///,,,+++...------,,,,,,+++++++++************************((()))))))))************))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))&&&&&&'''(((((('''&&&&&&''''''((((((((((((''''''((((((((((((((((((((((((''''''((((((((((((''''''((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&```aaabbbbbbaaa___]]][[[\\\^^^```aaa```]]]YYYWWWSSSUUUVVVWWWVVVSSSPPPNNNPPPRRRTTTVVVVVVWWWXXXZZZ\\\ZZZXXXWWWXXXYYYYYYYYYTTTTTTTTTUUUVVVXXXYYYZZZUUUTTTTTTTTTUUUVVVWWWWWWWWWUUUSSSQQQQQQTTTWWWYYYUUUVVVWWWYYYZZZYYYUUURRRTTTTTTVVVWWWWWWWWWWWWVVVWWWWWWXXXXXXYYYXXXXXXWWWVVVVVVVVVVVVVVVVVVVVVVVVSSSTTTUUUVVVVVVUUUTTTSSSTTTTTTTTTTTTTTTUUUUUUTTTQQQSSSUUUVVVWWWWWWVVVVVVTTTUUUUUURRRMMMJJJKKKMMMNNNOOOQQQRRRRRRQQQOOONNNOOOOOONNNMMMLLLKKKJJJIIIHHHKKKOOORRRSSSQQQNNNLLLNNNOOOPPPQQQQQQQQQPPPOOOQQQVVV\\\hhh{{{iiiWWWEEE===999555555888DDDRRRgggyyy{{{qqqWWWPPPOOOVVVXXXMMM;;;...000---,,,,,,---+++)))((('''((((((((())))))******))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))'''((()))++++++******)))))))))))))))******************,,,...---...666@@@RRRhhhvvv~~~yyyxxx|||vvviiiZZZTTTUUUKKKLLLLLLHHHDDDDDDHHHLLLHHHNNNVVV\\\aaagggmmmqqqvvv|||}}}{{{{{{{{{vvvxxx{{{~~~~~~}}}{{{zzz{{{yyyxxxyyy|||}}}{{{yyyvvvwwwvvvpppjjjiiilllpppjjjiiijjjpppxxx}}}|||yyymmmnnnooonnnmmmmmmnnnoooiiifffaaa```aaabbbaaa```ZZZWWWSSSOOOKKKGGGCCC@@@============???AAADDDEEEJJJNNNWWWdddssszzzpppccc[[[cccooo|||hhhooo}}}~~~SSS333333666,,,+++555///...---,,,++++++++++++************************(((((())))))*********+++))))))))))))))))))))))))''''''(((((())))))******))))))))))))))))))))))))&&&'''((())))))((('''&&&''''''((((((((((((''''''((((((((((((((((((((((((''''''((((((((((((''''''((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&```___^^^___``````___]]]YYYZZZ\\\]]]]]]\\\ZZZYYYTTTVVVZZZZZZXXXUUUSSSRRRWWWUUUTTTSSSTTTVVVYYY[[[\\\[[[ZZZZZZZZZZZZXXXVVVTTTSSSSSSUUUWWWYYYYYYXXXXXXXXXXXXWWWVVVVVVVVVVVVUUUTTTRRRQQQQQQSSSTTTVVVWWWWWWXXXXXXWWWWWWVVVUUUQQQRRRSSSTTTUUUUUUTTTTTTWWWVVVUUUUUUTTTTTTUUUUUUXXXXXXXXXXXXXXXXXXXXXXXXYYYXXXVVVUUUTTTTTTUUUUUUUUUTTTTTTSSSSSSTTTUUUUUUVVVTTTSSSTTTUUUUUUTTTSSSVVVUUUSSSPPPMMMKKKJJJIIIMMMMMMNNNNNNNNNNNNMMMMMMLLLIIIFFFDDDEEEGGGIIIIIIMMMKKKLLLPPPQQQNNNLLLMMMPPPNNNOOOQQQOOOIIIKKKRRR[[[cccmmmxxx}}}mmmNNNFFF???;;;666555===HHHYYYnnnsssaaaNNNIIIQQQ___ZZZDDD333222---,,,+++*********+++,,,))))))))))))))))))))))))*********)))))))))))))))&&&&&&''''''(((((())))))))))))))))))))))))))))))******))))))((((((''''''&&&(((***+++,,,+++)))(((+++***((((((***...333666KKKUUUdddqqq|||~~~xxx}}}zzz~~~vvvooohhhccc```YYYPPPLLLKKKKKKIIIFFFCCCCCCEEEIIIPPPVVVZZZ[[[kkkpppuuuwwwwwwzzz~~~~~~~~~~~~~~~{{{wwwwww||||||wwwvvvzzzvvvuuurrroookkkhhheeeddddddggglllpppsssttttttssshhhgggfffffffffffffffggg___[[[VVVUUUVVVWWWVVVTTTPPPIIIDDDBBB???;;;===CCCCCCCCCCCCCCCBBBDDDGGGJJJ[[[bbbooo~~~{{{nnnbbb\\\dddxxxwwwkkkfff```HHH444000111......222...---,,,,,,,,,,,,---...,,,+++******))))))******))))))))))))))))))))))))***************)))((((((''''''((()))))))))))))))(((((())))))))))))(((((((((((())))))((('''&&&&&&(((''''''&&&&&&((()))***(((((((((((((((((((((((()))(((((('''''''''((((((((('''&&&&&&'''((('''&&&''''''&&&%%%%%%$$$\\\[[[[[[[[[[[[ZZZXXXVVVXXXYYY[[[\\\]]]\\\[[[[[[XXXYYYZZZXXXUUUSSSRRRRRRUUUTTTSSSSSSUUUWWWYYY[[[ZZZYYYXXXXXXYYYYYYWWWUUUTTTSSSSSSTTTVVVXXXXXXWWWVVVWWWWWWWWWWWWVVVVVVUUUTTTSSSRRRRRRRRRSSSUUUWWWWWWWWWWWWWWWVVVUUUTTTSSSPPPQQQSSSTTTUUUUUUUUUTTTSSSSSSRRRRRRSSSTTTVVVWWWVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVUUUTTTSSSSSSSSSSSSQQQQQQQQQRRRRRRRRRSSSSSSRRRQQQPPPQQQSSSTTTTTTSSSSSSRRRPPPNNNLLLKKKJJJJJJKKKLLLLLLLLLLLLKKKJJJIIIIIIGGGFFFFFFHHHJJJKKKKKKOOOKKKJJJMMMMMMJJJIIIKKKPPPMMMLLLNNNMMMLLLRRRZZZfffrrr~~~xxxeeeTTTBBB<<<777555555===PPPbbbsss||||||cccQQQLLLVVVaaabbbTTT@@@222,,,,,,+++***)))))))))******))))))))))))))))))))))))(((((((((((((((((((((((('''''''''((((((((((((((())))))))))))))))))))))))***)))))))))(((((((((''''''((()))***+++******)))+++***))))))+++...111333===IIIZZZgggrrr~~~xxxyyy|||xxxpppkkkddd___[[[UUUMMMGGGHHHGGGGGGHHHKKKNNNOOOPPPYYY\\\___^^^\\\]]]aaafffqqqxxx~~~{{{zzz}}}{{{vvvtttwwwuuusssppplllhhhccc```___^^^```eeehhhjjjjjjiiihhhiiihhhfffccc```^^^\\\[[[TTTPPPLLLJJJJJJJJJIIIHHHHHHCCC@@@AAA???;;;===BBB???BBBEEEIIINNNTTT[[[```uuu{{{nnnhhhaaaaaaiiiyyyhhheee}}}LLL:::---...000---,,,000---,,,++++++++++++,,,---++++++******))))))******)))))))))))))))))))))))))))************)))((((((''''''((()))))))))))))))(((((())))))))))))((((((((((((((((((((('''&&&&&&(((''''''&&&'''((()))***((((((((((((((((((((((((((((((''''''&&&''''''(((((('''&&&&&&'''((('''&&&''''''&&&&&&%%%$$$WWWVVVVVVVVVWWWVVVSSSPPPVVVWWWYYY[[[\\\\\\\\\[[[\\\\\\ZZZWWWSSSPPPPPPQQQRRRRRRSSSUUUVVVXXXYYYYYYWWWWWWVVVWWWXXXXXXWWWUUUTTTSSSRRRSSSUUUVVVUUUTTTSSSTTTVVVWWWWWWVVVUUUUUUSSSSSSRRRRRRSSSUUUVVVXXXVVVVVVVVVUUUTTTRRRQQQPPPNNNOOOQQQSSSTTTUUUTTTTTTPPPOOONNNOOOPPPSSSVVVXXXSSSSSSSSSSSSSSSSSSSSSSSSRRRRRRSSSRRRRRRQQQPPPOOOLLLMMMOOOPPPQQQQQQQQQPPPNNNMMMMMMNNNQQQRRRRRRQQQNNNNNNMMMLLLKKKKKKJJJJJJJJJKKKKKKLLLKKKJJJIIIHHHGGGGGGHHHJJJMMMOOONNNLLLNNNJJJIIIKKKKKKJJJKKKNNNRRROOOMMMOOOQQQVVV___hhhxxxqqq^^^KKK>>>888555222444;;;MMMhhhoooTTTFFFTTTbbbhhhXXXCCC666///)))******)))(((((((((((()))))))))))))))))))))))))))''''''''''''((((((((((((((((((((((((((('''''''''))))))))))))))))))))))))))))))))))))((((((((((((((()))))))))*********************+++,,,---///000000===MMM[[[hhhwww}}}yyywww{{{~~~}}}wwwmmm```WWWUUURRRNNNKKKIIIGGGDDDBBBEEEFFFFFFDDDAAAAAADDDHHHPPPUUU\\\aaadddhhhnnnrrrvvvwwwyyy|||~~~}}}}}}~~~}}}yyyxxxyyyxxxvvvsssooojjjfffbbb```\\\]]]```ccccccbbbaaa___YYYXXXVVVSSSPPPLLLIIIGGGFFFCCC@@@>>>>>>>>>===;;;>>>======??????>>>BBBGGGLLLPPPWWW___hhhrrr{{{ssseee[[[ZZZ]]]iii{{{dddjjj~~~\\\999000+++...000,,,***---++++++************++++++++++++*********)))))))))))))))))))))))))))))))))))))))******))))))((('''''''''((())))))))))))((('''(((((())))))((((((''''''(((((((((((('''&&&&&&(((''''''''''''((())))))(((((((((((((((((((((((('''&&&&&&&&&&&&&&&''''''((('''&&&&&&'''((('''&&&''''''&&&&&&%%%$$$QQQPPPQQQSSSUUUUUUSSSQQQVVVWWWXXXYYYZZZZZZZZZZZZ[[[[[[ZZZWWWTTTQQQPPPPPPPPPQQQTTTVVVXXXXXXYYYYYYVVVVVVUUUVVVXXXXXXWWWUUUTTTSSSRRRRRRSSSTTTSSSQQQQQQRRRTTTVVVVVVVVVTTTTTTRRRRRRRRRRRRTTTUUUWWWXXXUUUUUUTTTSSSQQQOOOMMMLLLLLLMMMOOOQQQRRRSSSRRRRRRNNNMMMLLLLLLMMMPPPSSSUUUQQQQQQQQQQQQQQQQQQQQQQQQOOOPPPQQQQQQQQQPPPNNNMMMJJJKKKNNNPPPRRRRRRQQQPPPNNNLLLLLLMMMOOOPPPOOONNNKKKKKKKKKJJJJJJIIIHHHGGGIIIJJJLLLMMMMMMMMMLLLKKKIIIJJJLLLOOORRRRRROOOLLLKKKJJJKKKNNNNNNMMMOOOSSSUUUTTTUUUYYY```hhhrrryyy{{{iiiVVVFFF===999666555777>>>LLLaaayyyzzz___OOOMMMdddaaaUUUAAA000)))+++---******))))))((((((((((((((((((((((((((((((((((((''''''((((((((((((((()))))))))((((((''''''&&&&&&))))))))))))))))))))))))))))))))))))(((((((((((()))))))))((()))******+++)))***+++,,,,,,---,,,,,,---666DDDSSSbbbqqqzzzwww{{{~~~vvvnnnjjjddd]]]WWWQQQJJJFFFDDDDDDBBB???<<<<<>>@@@???>>>======>>>>>>???BBBCCCEEEHHHJJJNNNVVV\\\kkkpppwwwzzzsssjjj___UUU[[[dddrrrdddiii___AAA555000///111000+++)))++++++++++++******+++++++++***************))))))((()))))))))))))))))))))))))))))))))))))))(((((('''&&&'''(((((())))))(((((('''((((((((((((((((((''''''''''''(((((('''&&&&&&''''''''''''((((((((()))((((((((((((((((((((((((&&&&&&%%%%%%%%%&&&''''''(((&&&&&&&&&'''((('''&&&''''''&&&&&&%%%%%%JJJJJJKKKMMMQQQSSSSSSSSSVVVVVVWWWWWWWWWWWWWWWWWWVVVXXXZZZZZZWWWTTTRRRQQQQQQRRRUUUWWWYYYYYYYYYXXXWWWVVVVVVWWWYYYYYYXXXVVVTTTRRRQQQQQQSSSSSSRRRPPPPPPQQQRRRTTTTTTTTTSSSSSSPPPQQQQQQRRRSSSUUUVVVWWWTTTTTTSSSQQQOOOMMMKKKJJJIIIKKKMMMNNNOOOPPPOOOOOONNNMMMLLLKKKKKKMMMOOOPPPOOOOOOOOOOOOOOOOOOOOOOOONNNNNNOOOPPPPPPOOOMMMLLLJJJLLLNNNQQQRRRRRRQQQPPPOOOMMMLLLLLLMMMMMMLLLJJJJJJJJJJJJIIIHHHFFFEEEDDDFFFHHHJJJMMMNNNNNNNNNMMMNNNNNNOOORRRSSSRRRNNNKKKJJJJJJMMMPPPOOOLLLMMMRRRUUUYYY___gggrrr|||uuuaaaNNN@@@888666777666999@@@MMM```rrr~~~{{{vvv{{{vvvbbbQQQTTTaaaiiiQQQ:::222---&&&'''///***************)))))))))((((((((((((((((((((((((((((((((())))))*********))))))((((((''''''&&&&&&(((((((((((((((((((((((((((((((((((()))))))))))))))))))))((()))******+++))))))+++,,,,,,,,,++++++...222<<>>@@@AAAAAABBBDDDEEEFFFGGGGGGFFFBBBDDDDDDDDDEEEFFFFFFDDDFFFEEEDDDCCCAAA???>>>>>>???@@@AAABBBAAA@@@???===CCCDDDDDDDDDDDDCCCCCCBBB???@@@BBBDDDFFFHHHJJJLLLSSSWWWZZZ[[[___hhhttt|||yyymmmbbb\\\ZZZ\\\iiiyyy|||~~~cccGGG777444222000000...+++***---++++++,,,,,,,,,,,,++++++)))************)))(((''')))))))))))))))))))))))))))))))))))))))(((''''''&&&&&&'''(((((((((((((((''''''((((((((((((''''''&&&&&&''''''''''''&&&&&&&&&''''''(((((((((((((((((((((((((((((((((((((((%%%%%%%%%%%%%%%&&&'''((((((&&&&&&&&&'''((('''&&&''''''&&&&&&&&&&&&JJJHHHGGGHHHKKKNNNPPPPPPSSSSSSSSSTTTUUUUUUVVVVVVTTTWWW[[[\\\ZZZWWWUUUSSSTTTUUUWWWXXXYYYYYYYYYYYYXXXWWWVVVWWWXXXXXXWWWUUUSSSRRRQQQQQQSSSSSSRRRQQQQQQQQQQQQQQQQQQRRRRRRRRRPPPPPPQQQRRRSSSSSSTTTTTTSSSRRRRRRPPPNNNLLLKKKIIIJJJKKKLLLMMMNNNNNNMMMMMMMMMMMMLLLKKKKKKKKKKKKKKKMMMMMMMMMMMMMMMMMMMMMMMMLLLMMMMMMMMMMMMMMMLLLLLLJJJKKKMMMNNNOOOPPPOOOOOONNNMMMKKKKKKKKKKKKIIIGGGIIIIIIIIIIIIHHHFFFDDDBBBCCCFFFIIILLLNNNNNNLLLKKKQQQPPPPPPPPPPPPOOOLLLJJJJJJJJJLLLNNNLLLHHHJJJOOOXXX___gggoooyyykkk\\\KKK@@@:::555333333888BBBOOO^^^nnnzzz}}}zzz||||||zzzsssnnnwwwvvvbbbQQQPPP___nnnXXX===+++000444+++'''+++******+++++++++***)))((())))))))))))))))))))))))(((((())))))******++++++((((((((((((((('''''''''(((((((((((((((((((((((((((((((((((())))))))))))((()))))))))************((()))***++++++++++++++++++---444BBBTTTdddnnnqqqyyyuuuzzzrrrssszzz}}}vvvqqqeeebbb^^^XXXSSSNNNJJJHHHEEEDDDCCCBBBAAAAAAAAAAAA>>>???@@@@@@@@@>>>===<<<@@@BBBBBB??????@@@???<<<>>>>>>>>>>>>>>>>>>>>>>>>>>>???@@@BBBBBBBBBBBBAAACCCCCCBBBAAABBBBBBCCCCCCBBBFFFJJJNNNQQQUUUYYY\\\hhhnnnrrrrrruuuxxxkkk___TTTRRRZZZddd}}}~~~pppuuuuuutttbbbFFF777222000...,,,++++++,,,---...++++++,,,,,,,,,,,,++++++((()))*********)))((('''))))))))))))))))))))))))(((((())))))(((((('''&&&&&&&&&'''(((((((((((('''&&&''''''((((((''''''&&&%%%%%%&&&''''''''''''&&&&&&''''''((()))(((((((((((((((((((((((((((((((((%%%%%%%%%%%%&&&'''((()))((('''&&&&&&'''((('''&&&''''''&&&&&&&&&&&&SSSOOOJJJHHHHHHIIIKKKKKKNNNNNNOOOQQQSSSUUUVVVWWWWWWZZZ\\\[[[ZZZWWWVVVWWWWWWXXXXXXYYYYYYZZZYYYYYYWWWVVVUUUVVVWWWVVVTTTRRRSSSRRRQQQRRRSSSTTTSSSRRRSSSRRRPPPOOOOOOOOOQQQRRROOOOOOPPPQQQQQQRRRQQQQQQRRRQQQQQQPPPNNNLLLKKKJJJLLLLLLNNNNNNNNNNNNMMMLLLKKKKKKLLLLLLLLLKKKJJJIIIJJJJJJJJJJJJJJJJJJJJJJJJKKKJJJJJJIIIIIIJJJJJJKKKIIIIIIIIIJJJJJJJJJKKKKKKKKKIIIHHHHHHIIIIIIGGGFFFFFFGGGHHHHHHHHHGGGEEEDDDFFFHHHKKKNNNNNNMMMKKKJJJQQQOOOLLLKKKKKKKKKJJJIIIJJJIIIIIIJJJHHHHHHNNNWWWeeejjjnnnooorrrrrrlllcccPPPDDD;;;999999777777:::EEETTTeeeoootttyyyyyyuuuvvvttttttvvvzzz~~~vvvcccPPPNNNXXX^^^[[[<<<111***...111...))))))))))))*********)))((('''))))))))))))))))))))))))''''''(((((()))******+++'''''''''((((((((((((((((((((((((((((((((((((((('''((((((((()))))))))***'''((()))***+++******)))((((((((()))***+++,,,,,,)))+++///555@@@OOO^^^hhh}}}vvvpppsssxxx|||~~~|||xxxrrrmmmfff```\\\VVVTTTRRRPPPOOOMMMKKKIIIGGGHHHIIIIIIHHHFFFCCCBBB???CCCCCC???>>>AAA@@@<<<;;;;;;<<<======>>>>>>???<<<>>>@@@BBBDDDFFFGGGGGGMMMLLLKKKJJJKKKMMMPPPQQQYYY^^^dddhhhlllpppuuuyyy}}}||||||uuuiii]]]WWWWWW]]]lllzzzwwwpppkkk|||ttt}}}hhhIII666//////...,,,)))(((***------+++)))***+++,,,,,,+++***)))((()))***+++***)))'''&&&))))))))))))))))))))))))(((((())))))(((((('''&&&%%%&&&''''''((((((''''''&&&''''''((((((''''''&&&$$$%%%&&&&&&'''''''''&&&&&&&&&((()))))))))((('''((((((((((((((((((((((((&&&&&&&&&&&&'''((()))***((('''&&&&&&'''((('''&&&&&&&&&'''''''''''']]]XXXPPPJJJHHHHHHHHHHHHIIIJJJLLLNNNRRRUUUXXXYYY\\\\\\\\\ZZZXXXWWWWWWYYYZZZZZZZZZYYYYYYZZZZZZZZZWWWVVVUUUUUUUUUUUURRRPPPSSSRRRQQQRRRTTTTTTTTTSSSTTTRRRPPPMMMMMMNNNPPPQQQOOOOOOPPPPPPQQQPPPPPPOOOQQQQQQPPPPPPNNNMMMKKKJJJNNNNNNOOOPPPOOONNNMMMLLLIIIJJJLLLMMMMMMLLLJJJIIIHHHHHHHHHHHHHHHHHHHHHHHHIIIHHHGGGGGGGGGHHHIIIJJJGGGFFFFFFEEEEEEFFFGGGGGGGGGFFFEEEFFFGGGHHHGGGFFFCCCDDDFFFHHHIIIHHHGGGFFFKKKMMMOOOQQQQQQNNNKKKIIIPPPLLLHHHFFFGGGHHHIIIIIIHHHGGGFFFGGGHHHLLLXXXdddsssvvvtttlllfff```SSSEEE>>>666222555888:::???GGGSSSgggxxx{{{vvvuuuuuuuuukkkjjjppp~~~ggg___MMMAAALLL[[[PPP888(((------((('''+++---***'''((()))))))))(((&&&%%%))))))))))))))))))))))))&&&&&&&&&'''((())))))***&&&'''''''''(((((())))))(((((((((((((((((((((((('''((((((((())))))******&&&(((***+++,,,+++)))(((''''''(((((()))+++,,,---***,,,---,,,///<<>>333444222///000,,,,,,,,,+++++++++******)))))))))***+++++++++,,,))))))))))))))))))))))))(((((((((((())))))))))))''''''&&&&&&&&&&&&''''''((((((((((((((()))*********(((%%%%%%&&&''''''&&&)))((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%'''))))))((('''((()))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&zzzrrrggg\\\UUUOOOIIIEEEKKKKKKJJJIIIJJJKKKMMMNNNOOOOOOOOOPPPRRRUUUXXXZZZYYYYYYYYYYYYYYYYYYYYYYYYXXXWWWUUUTTTSSSRRRRRRRRRRRRRRRRRRQQQQQQRRRRRRRRRQQQQQQPPPOOOOOOOOOOOOOOONNNNNNNNNNNNNNNNNNMMMMMMQQQQQQQQQOOOMMMKKKKKKKKKPPPPPPOOOOOOMMMLLLKKKJJJJJJJJJKKKKKKKKKKKKJJJJJJHHHGGGFFFEEEEEEEEEEEEEEEFFFFFFFFFEEEEEEEEEEEEDDDDDDDDDDDDEEEEEEEEEEEEEEEEEEDDDDDDCCCCCCCCCCCCDDDHHHIIIJJJKKKKKKLLLKKKKKKKKKKKKKKKKKKKKKJJJIIIIIIGGGFFFEEEDDDDDDDDDDDDDDDJJJFFFFFFJJJPPP[[[mmm~~~ooo[[[NNNEEE>>>999999444222444:::GGGUUUaaagggwwwzzz~~~~~~}}}~~~vvvbbbQQQFFFCCCAAADDDLLLTTTPPPBBB333,,,+++*********)))))))))))))))((((((((('''''''''''')))((('''&&&&&&'''((()))'''((((((((())))))))))))((((((((((((((((((((((((&&&&&&&&&'''''''''''''''''''''''''''((((((((((((''''''''''''(((((((((((())))))(((((((((((())))))***,,,---,,,+++000999@@@OOO```sss{{{xxxzzztttkkkkkkuuu}}}~~~~~~{{{zzz|||uuulllccc[[[WWWWWWZZZ```jjjwwwxxxrrrpppzzz{{{pppSSS888222333000------,,,,,,+++++++++***************************++++++))))))))))))))))))))))))'''((((((((())))))))))))))))))(((((((((((())))))((((((((((((((())))))******(((&&&%%%&&&''''''&&&(((((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%'''))))))((('''((()))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&|||ssskkkeee]]]SSSKKKKKKIIIGGGEEEEEEFFFGGGIIIHHHIIIKKKNNNQQQTTTWWWYYYXXXXXXZZZZZZZZZZZZYYYXXXWWWVVVUUUTTTSSSRRRRRRRRRRRRRRRPPPPPPPPPPPPRRRRRRPPPPPPOOONNNNNNNNNNNNOOOLLLLLLMMMMMMNNNNNNNNNNNNPPPQQQQQQOOOMMMKKKKKKLLLNNNNNNNNNMMMLLLKKKJJJIIIKKKKKKKKKLLLLLLKKKKKKJJJIIIHHHGGGFFFEEEDDDDDDDDDEEEEEEDDDDDDDDDCCCCCCCCCBBBCCCCCCCCCCCCDDDDDDDDDDDDEEEEEEFFFFFFFFFFFFEEEOOOOOOOOOOOONNNMMMLLLKKKGGGGGGGGGGGGGGGGGGGGGGGGEEEDDDCCCBBBBBBCCCDDDDDDIIIGGGIIIQQQ\\\iiiwwwqqq^^^HHH===999666444444444777@@@NNN^^^kkkrrrttt}}}vvv^^^III>>>;;;===EEEIIIPPPQQQFFF555,,,+++))))))))))))((((((((((((((((((((((((''''''''''''((((((''''''''''''((((((''''''((((((((()))))))))(((((((((((((((((((((((($$$$$$%%%&&&&&&'''((((((''''''''''''((((((((((((''''''''''''(((((((((((())))))(((((((((((())))))***+++,,,***)))+++000555===MMM```nnnzzzyyyxxx|||zzz~~~vvvlllgggkkkpppsss|||}}}yyyuuulll```WWWUUUTTTTTT\\\gggqqq}}}mmmyyyvvvQQQ???111000222...***+++,,,++++++++++++***************************))))))))))))))))))))))))))))))''''''((((((((()))))))))))))))(((((((((((())))))((((((''''''(((((()))***)))(((&&&%%%&&&''''''&&&((('''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%'''))))))((('''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&{{{yyywwwooocccZZZOOOLLLHHHEEECCCDDDFFFGGGEEEFFFHHHKKKOOOQQQSSSUUUUUUVVVXXXYYYZZZYYYWWWVVVTTTSSSRRRQQQQQQQQQQQQQQQQQQPPPOOONNNNNNOOOPPPQQQOOONNNNNNMMMMMMMMMNNNNNNLLLMMMMMMMMMMMMMMMMMMMMMMMMMMMNNNLLLIIIHHHHHHIIIKKKKKKLLLLLLKKKJJJIIIIIIJJJJJJJJJJJJJJJIIIIIIHHHGGGFFFEEEDDDCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBDDDDDDDDDDDDDDDDDDDDDDDDEEEFFFIIIKKKMMMNNNNNNMMMRRRRRRQQQPPPNNNLLLJJJIIIDDDDDDCCCCCCCCCDDDDDDEEECCCCCCCCCCCCCCCDDDGGGIIIIIIKKKSSS```nnnwww|||~~~ZZZMMM???888666444333555???FFFTTTeeesss{{{|||yyy~~~dddKKK===<<>><<>>>>>???AAACCCDDD@@@CCCGGGIIIKKKQQQYYY___iiiooouuuxxxwwwpppbbbTTT>>>999444222222999HHHVVV]]]kkk~~~yyyvvvvvv|||}}}{{{iiiXXXFFF@@@HHHTTT[[[[[[===444---+++***(((''')))(((((((((((('''''''''''''''''''''(((((((((((((((''''''((((((((((((''''''&&&&&&'''''''''(((((((((((((((((((((((((((((((((++++++******)))(((((('''''''''''''''((((((((((((''''''''''''(((((((((((())))))(((((((((((())))))''''''((()))+++,,,,,,---***+++///666???MMMaaaqqqtttxxxxxx}}}}}}|||uuuqqqwwwyyyxxxvvvxxx|||{{{}}}{{{{{{{{{yyywwwssspppnnneeeaaaYYYQQQNNNPPPVVV\\\hhhooo|||qqqqqq~~~|||nnnRRRAAA111//////...---+++***,,,///+++************)))))))))))))))))))))))))))((((((((((((((((((((((((((((((&&&&&&'''''''''((((((((())))))(((((((((((())))))''''''&&&&&&''''''((()))((('''&&&'''((((((&&&$$$%%%&&&'''((((((((('''&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%'''))))))((('''((()))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&bbbiiittt|||zzzrrriii___WWWRRROOOJJJIIIGGGEEEEEEEEEGGGHHHGGGHHHHHHIIIJJJJJJKKKKKKIIIIIIHHHHHHIIIJJJKKKKKKJJJKKKMMMNNNNNNMMMKKKJJJKKKJJJJJJJJJKKKKKKLLLMMMLLLLLLLLLKKKKKKJJJJJJJJJJJJKKKKKKJJJHHHGGGHHHIIIDDDEEEFFFFFFGGGGGGGGGGGGDDDDDDDDDDDDCCCBBBAAA@@@@@@????????????@@@@@@AAAAAABBBCCCEEEGGGIIIKKKLLLJJJKKKLLLNNNPPPRRRTTTUUUWWWUUUSSSPPPMMMKKKJJJIIIHHHHHHGGGFFFDDDBBB@@@??????>>>>>>>>>???AAACCCEEEFFFJJJOOOSSSWWW___iiiqqquuuxxxuuulllcccYYYLLL???999666555999@@@JJJXXXeeegggvvvzzzyyyuuuxxx~~~{{{^^^QQQGGGKKKYYY^^^UUUIII000+++(((******'''&&&''')))))))))(((((((((''''''''''''''''''((((((((()))&&&'''((())))))((('''&&&&&&&&&&&&'''''''''(((((((((((((((((((((((((((((())))))))))))((((((((((((''''''''''''((((((((((((''''''''''''(((((((((((())))))(((((((((((())))))'''''''''(((***+++,,,,,,***((()))...666BBBVVViiinnnyyyvvvppprrrzzzxxx}}}~~~|||xxxpppkkkoooxxx|||{{{{{{}}}zzz~~~~~~|||zzzzzz|||yyyyyyxxxuuuoooiiidddaaaSSSQQQOOONNNQQQ[[[iiisss}}}rrrhhheeexxxzzzOOO:::444+++...///...,,,***+++,,,---************))))))))))))((((((((()))))))))))))))((((((((((((((((((((((((&&&&&&&&&'''''''''(((((())))))(((((((((((())))))'''&&&&&&&&&&&&'''((((((''''''''''''((((((&&&$$$$$$%%%'''((()))((('''&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%'''))))))((('''((()))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&LLLWWWeeepppvvv{{{yyyqqqiiibbb\\\ZZZJJJIIIFFFDDDCCCEEEGGGHHHEEEEEEEEEEEEFFFGGGHHHIIIHHHHHHHHHHHHIIIIIIJJJKKKIIIJJJMMMNNNNNNMMMJJJIIIJJJJJJJJJJJJJJJKKKLLLMMMJJJJJJJJJKKKKKKKKKKKKKKKHHHIIIJJJIIIGGGFFFGGGHHHCCCDDDEEEFFFFFFGGGFFFFFFDDDDDDDDDDDDCCCBBBAAA@@@????????????@@@AAABBBCCCCCCDDDEEEHHHKKKMMMOOOPPPRRRRRRQQQQQQQQQQQQQQQPPPRRRPPPNNNKKKIIIGGGGGGGGGEEEEEEEEEDDDBBBAAA???>>>???>>>>>>>>>???AAADDDFFFMMMRRRXXX]]]bbbkkkwwwvvvvvvlll\\\NNNFFF>>>555666444999EEERRR[[[ccciiilll{{{uuunnnnnnttt~~~}}}zzzwwwqqqWWWLLLGGGQQQ```^^^GGG111222---***)))'''%%%&&&)))))))))))))))((((((((((((&&&'''''''''(((((())))))&&&'''((())))))((('''&&&&&&&&&&&&'''''''''((((((((((((((((((((((((((((((&&&&&&''''''((()))))))))''''''''''''((((((((()))''''''''''''((((((((()))))))))(((((((((((()))))))))'''&&&''')))***+++++++++''''''+++///999KKK^^^dddvvvtttlllllltttzzzlllnnnzzzzzzllldddfffoooqqqnnnqqqvvvzzzzzz}}}|||{{{xxx}}}~~~~~~}}}}}}}}}}}}}}}zzzyyyyyy{{{|||rrrrrrqqqlllddd\\\VVVRRRLLLMMMOOOSSS[[[iiizzzkkkeeeiiiwwwzzzwwwqqq\\\:::111444///,,,...---+++***+++,,,+++************))))))))))))''''''(((((())))))******((((((((((((((((((((((((&&&&&&&&&'''''''''((((((''''''&&&&&&&&&&&&'''''''''&&&&&&&&&&&&'''(((((('''''''''((()))(((&&&$$$$$$%%%'''))))))((('''&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%'''))))))((('''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&>>>@@@JJJZZZfffmmmwww|||xxxssspppnnn[[[RRRLLLMMMLLLHHHFFFHHHAAACCCDDDDDDCCCCCCEEEFFFIIIGGGEEEEEEFFFHHHIIIHHHIIIIIIIIIIIIIIIIIIIIIIIIGGGGGGHHHIIIIIIJJJKKKKKKLLLHHHEEEGGGKKKLLLIIIFFFFFFFFFEEEEEEDDDEEEEEEEEEEEEDDDCCCCCCCCCDDDEEEFFFFFFDDDCCCBBBBBBCCCEEEFFFFFFGGGIIIIIIIIIIIIKKKMMMNNNOOORRRTTTUUUUUUUUUTTTUUUUUUUUUTTTRRROOOLLLKKKIIIHHHGGGEEEDDDCCCBBBBBBBBBBBBAAA@@@???===<<<;;;???@@@AAABBBEEEIIIOOOSSS\\\dddnnnssstttrrrrrrrrriiiZZZJJJBBB<<<777777;;;@@@@@@GGGUUUbbbiiiooosssxxxuuummmooouuujjj```aaabbb]]]QQQSSS]]]eeeZZZAAA000---++++++***)))((('''&&&&&&''''''&&&&&&&&&&&&''''''***))))))((('''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&'''''''''(((((('''''''''''''''''''''''''''(((((((((&&&%%%&&&''''''((()))(((%%%$$$&&&((((((((((((((())))))))))))&&&((())))))***111===FFF[[[pppooorrrppppppqqqqqqwwwwwwcccbbbbbbjjj{{{tttlllkkkjjjddd]]]aaa]]]___gggllllllnnnrrrnnnssszzz~~~}}}{{{zzzzzz}}}||||||~~~zzz~~~~~~{{{zzzyyywwwrrrnnnccc___YYYRRRMMMJJJIIIJJJVVVVVV]]]jjjwwwqqqmmmqqq}}}zzzsssQQQ===777333///,,,+++++++++***++++++,,,,,,((('''((()))+++,,,+++***''''''(((((())))))******''''''&&&&&&&&&&&&'''''')))((('''&&&%%%&&&&&&'''))))))((((((''''''&&&&&&((('''&&&%%%$$$%%%%%%&&&&&&&&&'''((('''&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&'''((('''&&&%%%))))))))))))((((((((((((%%%%%%&&&'''((((((((('''((((((''''''&&&&&&&&&&&&%%%&&&&&&''''''&&&AAA>>>???GGGNNNUUU```kkkrrrvvv{{{~~~|||pppfff^^^ZZZUUULLLGGGGGGHHHGGGFFFEEEDDDDDDCCCCCCDDDCCCBBBDDDFFFHHHIIIIIIFFFFFFFFFFFFFFFFFFFFFFFFGGGGGGHHHIIIIIIJJJKKKKKKMMMIIIGGGHHHLLLMMMKKKGGGFFFEEEEEEEEEEEEEEEFFFFFFFFFEEEDDDDDDEEEFFFGGGHHHHHHGGGGGGFFFGGGIIIKKKMMMMMMOOOPPPPPPOOOOOOQQQRRRRRRRRRSSSSSSSSSRRRRRRQQQPPPPPPOOONNNLLLIIIGGGEEEFFFEEEDDDBBBAAA@@@??????@@@@@@@@@????????????>>>CCCEEEHHHLLLRRRYYY```dddhhhooovvvxxxsssggg[[[SSSJJJ@@@999999:::;;;AAAHHHSSSRRRVVV```hhhlllqqqwww~~~}}}uuunnnnnnwwwnnnZZZOOONNNOOOMMMRRRZZZ^^^UUUEEE666---)))******))))))((((((''''''''''''&&&&&&&&&&&&'''''')))))))))((('''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&'''''''''((('''''''''''''''''''''''''''(((((((((&&&%%%&&&'''&&&((()))(((&&&&&&(((***'''((((((((())))))))))))***++++++)))(((+++333:::KKK```sssyyy~~~}}}vvvpppkkkiiihhhlllzzz|||ppptttnnnjjjlllwww}}}uuunnnaaa[[[XXX[[[]]][[[\\\```gggmmmuuuzzz{{{xxxvvvuuuxxxwwwyyy|||}}}~~~||||||~~~|||{{{}}}~~~~~~}}}}}}~~~~~~~~~}}}|||||||||zzz{{{}}}~~~~~~}}}|||~~~~~~}}}|||{{{zzzzzzxxxuuuqqqnnnjjjddd]]]XXXLLLJJJGGGFFFHHHNNNTTTYYYjjjvvvwwwpppqqqzzz~~~uuuttt|||kkkUUU===111...,,,***(((,,,,,,+++******+++++++++)))(((((()))***+++)))((((((((())))))))))))))))))((((((''''''''''''(((((()))((('''&&&%%%&&&&&&'''((((((((((((''''''''''''((('''&&&%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%$$$((((((((((((((((((((((((%%%&&&''''''((((((''''''))))))))))))((((((((('''&&&&&&''''''((('''''''''))))))((((((''''''''''''%%%&&&&&&''''''&&&RRRIIIAAA===>>>AAAJJJSSS^^^dddnnnxxx~~~~~~|||{{{tttnnneeeZZZQQQNNNNNNJJJFFFDDDEEEDDDBBB@@@CCCBBBBBBDDDFFFHHHGGGFFFCCCCCCCCCDDDDDDEEEEEEEEEFFFGGGGGGHHHHHHIIIIIIJJJKKKHHHFFFGGGJJJKKKIIIGGGDDDDDDDDDDDDEEEFFFGGGGGGFFFFFFFFFFFFGGGIIIJJJKKKLLLKKKKKKKKKMMMOOOQQQRRRRRRTTTUUUTTTSSSRRRSSSUUUSSSSSSQQQPPPOOOMMMLLLLLLKKKJJJJJJHHHFFFDDDBBBAAACCCBBBAAA@@@>>>>>>======AAA@@@@@@AAABBBCCCDDDEEEGGGKKKQQQZZZccckkkqqquuuzzzyyyvvvpppdddTTTBBB777555333444888<<>>>>>>>>>>>AAABBBCCCDDDGGGJJJMMMNNNWWW[[[cccmmmuuuyyyzzzzzz~~~ssscccTTTIII???777222333777>>>DDDIIIPPPXXX___dddccceeeiiilllooowww{{{xxx{{{~~~}}}ttt^^^IIIBBB@@@>>>AAAHHHWWWWWWKKK666'''&&&)))***'''((((((((()))))))))***''''''&&&&&&&&&&&&''''''(((((((((''''''&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((&&&%%%&&&'''&&&''''''&&&&&&'''((()))'''''''''((((((((())))))'''((())))))((()))+++...333???JJJQQQYYYhhh{{{}}}vvvtttvvvxxxxxxwww{{{www{{{~~~sssooopppvvv}}}{{{xxxsssnnniiiddd]]]XXXUUUUUUYYY```fffkkkmmmmmmnnnrrrssstttwwwyyyzzzzzzyyy}}}~~~~~~}}}{{{zzz{{{||||||}}}}}}|||zzzyyyzzz{{{xxxyyyzzzyyyzzzzzzzzzyyy{{{{{{zzzyyyxxxvvvuuuuuuooosssvvvtttoookkkkkkmmmkkkoootttxxxzzz{{{||||||uuuuuuvvvvvvvvvvvvuuutttxxxxxxyyyyyyxxxwwwvvvuuuyyyxxxwwwuuurrrpppnnnmmmddd```ZZZTTTOOOLLLJJJHHHNNNPPPTTT\\\gggssstttpppxxxnnnjjjrrr||||||fffLLL;;;555111111000------000------+++***))))))))))))***((('''''')))))))))'''++++++******))))))((((((((((((''''''''''''((((((''''''''''''&&&&&&''''''&&&&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%%%%'''((()))))))))(((((((((''''''''''''((((((((('''&&&%%%%%%((((((((((((''''''''''''%%%&&&&&&''''''&&&jjjfff___VVVMMMDDD:::333777:::@@@KKKXXXfffrrryyy{{{yyysssiiibbbYYYTTTRRROOOHHHCCCEEEDDDBBBBBBCCCCCCAAA@@@BBBBBBBBBCCCCCCDDDDDDDDDBBBCCCCCCCCCCCCCCCDDDDDDDDDCCCCCCCCCDDDDDDDDDCCCAAAAAABBBBBBCCCDDDEEEFFFEEEEEEFFFHHHIIIJJJJJJKKKLLLLLLKKKKKKKKKKKKKKKKKKJJJKKKLLLKKKIIIGGGHHHIIIFFFFFFFFFEEEEEEDDDDDDDDDEEEDDDCCCCCCBBBAAAAAA@@@?????????@@@AAABBBCCCDDDHHHIIILLLQQQVVV[[[___aaappprrrwww|||~~~zzzrrrlllfffXXXFFF888333444777999:::BBBMMMUUU\\\dddlllpppjjjhhhiiinnnrrrvvv}}}|||}}}|||pppXXXFFF999;;;??????BBBIIIPPPBBB555///***%%%'''---''''''(((((())))))******''''''&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((&&&%%%&&&'''''''''&&&%%%&&&&&&&&&&&&''''''''''''((((((((((((&&&'''((())))))***+++---000333;;;DDDNNN]]]pppwwwsss~~~zzzyyy|||zzzrrriiiaaa\\\\\\\\\]]]___aaacccdddoooqqqrrrtttuuuuuuvvvwwwyyyzzz{{{{{{zzz{{{}}}xxxyyyzzzzzzxxxwwwxxxyyyuuuttttttuuutttttttttuuuvvvvvvuuuuuuttttttssssssqqqssssssmmmddd]]]]]]___iiimmmsssuuuuuuuuutttuuusssttttttuuuuuuuuuttttttwwwvvvuuusssqqqooommmlllkkkjjjiiifffcccaaa___^^^TTTQQQMMMJJJJJJNNNTTTXXX___dddnnnzzzsssrrr|||xxxooommmooozzzqqqqqq}}}ttt___HHH666222...------+++(((***///---,,,+++***))))))(((((()))(((&&&''')))*********+++*********))))))(((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''''''''%%%%%%&&&&&&''''''((((((%%%&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$%%%'''(((''''''''''''''''''''''''&&&%%%$$$###$$$%%%&&&'''(((((((((((('''''''''''''''((((((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&iiikkkkkkgggbbbXXXHHH;;;777666555888@@@KKKVVV]]]iiisss}}}~~~|||wwwoooiiiddd]]]VVVPPPJJJGGGDDDCCCCCCCCCCCCBBB@@@@@@@@@@@@@@@@@@@@@@@@BBBBBBBBBBBBBBBBBBBBBBBBDDDDDDDDDDDDDDDDDDDDDDDD@@@@@@@@@@@@AAABBBCCCCCCCCCCCCEEEFFFGGGGGGGGGGGGHHHHHHHHHGGGFFFFFFEEEEEEFFFGGGGGGFFFDDDCCCDDDEEE@@@BBBCCCEEEEEEEEEDDDCCCBBBBBBAAAAAAAAABBBBBBCCCBBBCCCDDDGGGJJJMMMPPPQQQ]]]___ccchhhmmmrrrtttvvvvvvuuusssqqqlllcccWWWNNNBBB<<<555111222777===AAANNNVVV^^^ccciiipppsssrrrmmmjjjkkkqqqwwwzzz|||~~~{{{{{{~~~zzzcccPPPCCC===;;;???DDDEEECCCCCC???...%%%***---&&&%%%***''''''(((((())))))******''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''(((((((((&&&%%%&&&'''(((&&&%%%%%%'''(((((('''&&&&&&'''''''''((((((((((((((()))))))))))))))))),,,***///:::DDDPPPcccuuu~~~xxxlllkkkjjjqqqzzzooooooxxxxxxrrrmmmfff```]]]\\\\\\[[[dddeeeggggggggggggiiikkknnnoooppppppqqqssswww{{{wwwxxxzzzyyywwwvvvuuuvvvuuurrrqqqsssrrrppppppsssqqqqqqppppppppppppqqqqqqvvvwwwtttkkk___YYY[[[```lllpppttttttrrrpppqqqrrrooonnnnnnnnnmmmmmmmmmmmmlllkkkiiieeebbb___]]]\\\VVVVVVVVVVVVVVVVVVVVVVVVUUUUUUSSSTTTYYYbbbnnnvvvzzzoooxxxrrrqqq{{{fffOOOAAA666...,,,***)))+++***'''***...,,,+++***))))))))))))))),,,***(((''')))***+++***))))))))))))((((((((((((&&&%%%%%%%%%%%%%%%%%%&&&%%%&&&''''''((('''''''''&&&&&&&&&&&&&&&'''''''''$$$%%%&&&'''''''''&&&&&&&&&&&&%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%&&&((((((((('''''''''&&&&&&'''''''''(((''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&bbbhhhnnnpppqqqlll^^^OOOFFFCCC>>>:::888999<<<===NNNYYYdddkkkrrr{{{~~~zzzuuunnniiifff[[[WWWPPPKKKIIIGGGFFFEEEBBBAAAAAA@@@@@@?????????CCCCCCCCCCCCCCCCCCCCCBBBBBBCCCCCCCCCBBBBBBCCCCCC@@@???????????????@@@@@@@@@AAACCCDDDDDDDDDCCCCCCCCCDDDDDDDDDDDDCCCCCCBBBBBBCCCDDDCCCBBBAAABBBCCC@@@BBBEEEHHHIIIHHHFFFEEECCCCCCBBBCCCDDDFFFGGGIIILLLNNNQQQUUUZZZ___cccfffssstttvvvxxxwwwvvvtttrrrddd^^^WWWRRRMMMFFF===666222444777;;;???DDDIIIMMM]]]ccchhhkkkqqqvvvuuupppoookkkllluuu~~~~~~}}}~~~~~~vvvaaaKKK???===CCCHHHKKKKKKHHH???555...(((%%%'''******'''&&&(((((((((((())))))))))))''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''(((((((((&&&%%%&&&''''''%%%$$$&&&***,,,---,,,&&&&&&&&&'''''''''(((((()))(((''''''((()))(((((()))'''+++333777>>>SSSkkkuuusssmmmeeedddqqqlllbbbeeekkkzzzqqqlllgggdddaaabbbcccccc___[[[YYYYYY[[[``````______```ccciiimmmoooqqqssstttssssssssstttvvvrrrppprrrqqqnnnnnnrrrqqqpppnnnllllllmmmnnnooouuuuuuqqqggg]]][[[bbbjjjnnnqqqsssrrrnnnmmmooossshhhgggeeecccbbbbbbbbbbbb]]]\\\YYYVVVSSSPPPNNNNNNIIIKKKNNNSSSXXX\\\```bbbfffhhhkkkooovvv}}}yyy|||{{{}}}{{{bbbGGG999555111,,,---******------******---******))))))))))))******000...***))))))))))))((('''''''''''''''(((((((((&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%'''((((((((('''''''''&&&&&&&&&&&&&&&&&&%%%$$$%%%&&&'''''''''&&&&&&$$$%%%&&&&&&''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%(((((('''''''''&&&&&&&&&&&&&&&''''''((('''''''''%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&XXX```hhhnnnttttttjjj\\\QQQOOOKKKGGGBBB===:::888888CCCMMMTTT___ooo{{{}}}~~~{{{xxxwwwoooiii___VVVOOOKKKHHHGGGEEEDDDDDDCCCBBBAAA@@@@@@DDDDDDDDDDDDDDDDDDDDDCCC???@@@AAAAAA@@@???@@@AAA??????>>>>>>>>>>>>>>>>>>???@@@AAABBBBBBAAA@@@@@@@@@AAABBBCCCCCCCCCCCCCCC???AAABBBAAA@@@???@@@BBBBBBEEEIIILLLMMMKKKIIIGGGFFFFFFFFFFFFHHHKKKMMMOOOWWWYYY]]]bbbiiioootttwww{{{{{{yyyvvvooohhh```\\\QQQJJJ@@@;;;999888555222555:::AAAFFFJJJNNNUUUZZZ[[[aaagggmmmwwwyyysssnnnppp}}}|||~~~vvvqqqnnn```KKK???>>>;;;HHHRRRPPPLLLEEE666%%%$$$,,,---''''''...,,,###))))))))))))(((((((((((('''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((((((((((((((((((((%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''(((((((((&&&%%%&&&'''&&&$$$$$$''',,,000111000&&&&&&&&&'''''''''((((((&&&%%%$$$%%%''')))*********(((+++///---///FFFcccooo~~~~~~vvviiidddmmm~~~{{{kkkeeefffeeennnxxx}}}wwwqqqmmmnnnnnnkkkddd\\\VVVTTTUUUUUUTTTSSSQQQRRRVVV\\\aaa```cccgggjjjkkklllnnnpppsssnnnlllnnnmmmiiijjjnnnpppnnnkkkhhhggghhhjjjkkkllllllhhh___WWWXXXcccnnnjjjmmmnnnlllhhhhhhlllpppcccbbb___\\\ZZZZZZ[[[[[[SSSRRROOOMMMJJJHHHGGGFFFHHHKKKRRRZZZccclllrrruuutttxxx}}}}}}ppphhhzzzwww|||{{{cccEEE222///333000)))---++++++......***'''(((***)))))))))))))))***+++555111---***)))((('''&&&%%%&&&&&&&&&''''''(((((('''''''''&&&&&&'''''''''$$$%%%'''((((((((('''''''''''''''&&&&&&%%%%%%%%%###$$$&&&'''((('''&&&&&&###$$$&&&'''((('''&&&&&&''''''''''''''''''''''''$$$%%%&&&'''((('''&&&%%%(((((('''''''''&&&&&&&&&%%%%%%&&&'''((((((((('''&&&&&&&&&'''''''''((((((%%%&&&&&&''''''&&&hhhgggeeeaaa```dddlllrrrfff```YYYQQQKKKFFFBBB???;;;777999CCCNNNXXXeeeqqquuuzzz}}}zzz{{{}}}~~~wwwpppmmmhhh___XXXUUUSSSQQQOOOLLLJJJGGGDDDAAAEEEFFFFFFFFFFFFEEEDDDDDDCCCAAA???@@@BBBCCCAAA>>>===>>>????????????>>>>>>@@@??????@@@AAABBBAAA@@@AAA@@@@@@AAABBBBBB@@@???>>>AAABBBBBBAAABBBFFFJJJGGGKKKQQQUUUWWWTTTPPPLLLPPPSSSTTTRRRPPPQQQWWW]]]cccgggmmmrrrtttttttttuuu|||wwwnnncccWWWMMMFFFCCC:::888555444222111555:::@@@JJJUUUYYYYYYZZZ[[[\\\hhhhhhppp|||zzzuuuuuuwww{{{}}}|||tttlllkkkeeeWWWHHH@@@BBBGGGNNNQQQQQQIII===111,,,+++))))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))(((((('''))))))(((((('''''''''&&&''''''''''''(((((((((((()))((('''&&&%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%&&&'''(((###'''&&&$$$(((111777666&&&&&&&&&'''''''''(((((($$$&&&(((((('''((()))++++++&&&'''***)))+++<<>>???@@@@@@@@@@@@@@@??????@@@???>>>>>>??????@@@???????????????@@@???>>>======???BBBEEEHHHLLLQQQTTTSSSVVVYYY\\\]]]]]]^^^^^^^^^_________```eeelllqqqwwwxxxwwwtttnnngggcccaaaVVVSSSLLLEEE???999666555,,,---000444888<<>>BBBFFFJJJMMMOOORRR[[[gggooorrrvvvzzzuuuyyy}}}}}}zzzwwwvvvwwwuuuqqqnnnkkkjjjjjjjjjiiiiiijjjjjjjjjjjjjjjkkkjjjiiihhheeeaaa]]]ZZZYYYTTTTTTSSSQQQOOOOOOSSSVVVUUUXXX[[[]]]]]]]]]___aaaddddddggglllssswwwvvvtttqqqrrrsssqqqpppqqquuuyyytttooohhhddd___VVVIII???;;;:::777333000...000222---...000333777<<>>EEEPPPXXX]]]dddlllnnnssszzz|||zzzwwwuuuuuutttsssqqqooonnnnnnnnnnnnpppqqqssssssrrrrrrtttuuusssrrrqqqnnnkkkhhheeeccc[[[\\\]]][[[YYYYYY]]]aaaeeeiiilllmmmllllllnnnqqqpppqqqtttxxx|||}}}{{{yyyyyyxxxvvvtttqqqnnnlllkkkcccZZZNNNEEEAAA===888444111000///---,,,---000333000333777<<>>;;;888666333222222111555;;;???BBBJJJSSSZZZ___fffhhhggggggjjjmmmkkkkkkkkkllllllmmmmmmmmmqqqsssttttttrrrqqqsssuuuppppppoooooommmllljjjjjjbbbeeehhhgggeeeeeehhhlllppptttwwwvvvrrrqqqsssuuurrrtttwwwwwwuuuqqqnnnllllllgggaaa]]]ZZZUUUOOOIIIEEE???777111000000000000......//////000222777:::CCCFFFJJJOOORRRSSSSSSRRROOO[[[bbbccciiiuuuyyyvvvqqqkkkjjjnnnmmmjjjppp|||}}}sssrrruuuwwwssspppoooqqqsssrrrlllggg]]]OOOAAA:::888;;;CCCMMM]]]XXXNNNBBB666---***)))&&&&&&&&&&&&'''((()))+++%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''((()))******%%%%%%%%%&&&&&&'''''''''%%%%%%&&&&&&&&&'''''''''%%%%%%'''(((((((((''''''&&&&&&&&&&&&'''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&&&&&&&%%%$$$'''######''''''######'''%%%&&&&&&&&&&&&'''''''''$$$%%%&&&&&&&&&&&&'''(((&&&'''(((''''''((()))(((((((((***......---111777???JJJXXXccckkksss|||tttjjjeee``````mmmwwwlllggggggnnnzzz|||rrrlllkkklllnnniiiiiikkknnnttt{{{{{{vvvuuuvvv|||xxx|||~~~vvvvvvzzzzzzqqqjjjrrrvvv~~~vvvhhh^^^TTTDDD111***---000---(((+++++++++,,,------,,,,,,(((((((((((())))))******''')))******((('''((((((((('''&&&&&&(((((('''&&&$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&&&&(((((('''&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''%%%%%%%%%%%%&&&'''((()))''''''&&&&&&&&&%%%jjjeee___^^^cccjjjoooqqqnnnlllkkkkkklllmmmmmmmmmqqquuussskkkgggeee```YYYVVVTTTPPPLLLGGGBBB<<<888555333111222111222999BBB>>>CCCIIILLLNNNRRRYYY___cccdddfffhhhjjjkkkkkkkkkkkkmmmnnnmmmjjjiiijjjllljjjjjjkkklllllllllllllllhhhmmmppppppnnnnnnqqquuuooorrruuurrrmmmjjjkkknnnjjjmmmoookkkccc[[[VVVTTTJJJDDD>>>===??????999333222111111222333333111000333555888:::>>>CCCIIIMMMVVVXXX\\\^^^^^^\\\XXXVVVTTTaaaiiihhhkkkqqqpppiiiaaa___eeennnnnniiiooo|||wwwmmmmmmppppppsssmmmhhhggghhhddd[[[RRR???777444;;;CCCGGGLLLRRR\\\MMM;;;///,,,+++)))%%%)))((('''((())))))&&&$$$%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''$$$%%%'''(((((((((''''''&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$***%%%$$$((('''###$$$(((&&&&&&&&&'''''''''((((((###$$$&&&&&&&&&&&&((()))"""&&&***)))))))))***)))++++++---///---)))+++000555;;;EEEQQQZZZdddrrr~~~~~~uuuooocccXXXXXXfffrrruuuwww}}}vvvssstttyyy{{{|||~~~zzztttqqqqqqsssuuuqqquuu{{{|||wwwssswwwnnnlllzzz}}}ooohhhmmmuuuzzziiiZZZMMMEEE...000000,,,'''%%%)))---)))))))))***,,,,,,)))''''''((((((((())))))******(((***+++***(((''''''(((((('''&&&&&&'''((('''&&&$$$$$$$$$%%%%%%&&&&&&&&&(((''''''&&&&&&''''''(((&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&)))'''''''''((()))((('''$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''$$$$$$$$$%%%&&&'''((()))''''''&&&&&&&&&%%%eeebbbbbbeeeggggggiiimmmlllllllllllllllmmmpppsss|||zzzuuulllbbb[[[YYYZZZTTTSSSSSSTTTUUUQQQJJJDDD???;;;888888;;;:::666222555333555:::>>>???CCCGGGPPPOOOQQQWWW]]]aaaeeeiiigggiiijjjgggbbb```bbbeeefffeeedddeeehhhlllmmmnnnnnnpppsssttttttuuuvvvwwwrrrqqqoookkkfff___ZZZVVVUUUVVVWWWSSSMMMEEE>>>;;;777555111...---///111333111111111000///222666:::999;;;BBBKKKPPPQQQVVV[[[bbbhhhiiiccc^^^___aaabbbbbbccceeehhhhhhddd```^^^jjjhhhhhhhhhggghhhqqq||||||nnnkkkpppmmmcccggggggfffbbb[[[QQQGGG@@@888666888???HHHNNNNNNKKKBBB888+++######&&&'''(((''''''''''''''''''''''''###$$$%%%%%%&&&&&&%%%%%% !!!###%%%&&&(((((()))(((''''''&&&&&&''''''(((&&&&&&&&&%%%%%%$$$$$$$$$'''''''''&&&&&&%%%%%%%%%'''((()))))))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%######""""""######$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&'''((()))(((((((((((((((((((((((())))))))))))************))))))***+++,,,,,,------111333666;;;EEESSSaaajjjzzzxxxwwwuuurrrrrrfff[[[^^^aaaggguuu~~~uuusssuuuqqqtttxxx}}}{{{wwwjjjfffgggpppuuuqqqjjjeeegggnnnvvvzzzzzzzzz|||~~~}}}zzz{{{}}}zzztttuuu{{{yyysssooommmuuu||||||yyysssoootttsss^^^EEE444//////...,,,+++***+++,,,,,,))))))))))))))))))))))))((((((((((((((((((((((((''''''(((((())))))******))))))))))))))))))))))))''''''''''''''''''''''''(((''''''''''''&&&&&&&&&&&&%%%$$$%%%'''((('''&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''***(((%%%######$$$&&&(((&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((((((((((((((((((((```aaafffmmmooollljjjkkklllmmmmmmkkkggggggkkknnnttttttpppiiiaaa\\\\\\]]]ZZZXXXVVVWWWXXXXXXUUUQQQKKKHHHDDDDDDDDDBBB===888777444333555666666999=========>>>CCCHHHLLLPPPSSSZZZ\\\___bbbbbbaaa```___^^^]]]]]]^^^aaadddddddddfffeeeeeefffhhhiiiiiihhhaaa___[[[VVVPPPIIIDDDAAA???@@@@@@===888444111111111///...------000222444000111333666999===AAADDDJJJHHHJJJNNNQQQRRRWWW]]]fffnnnrrroooiiieeebbb______aaadddggghhhiiijjjlllpppmmmkkkiiiffffffnnnwww~~~tttqqqsssnnncccbbbcccccc\\\PPPEEE>>>;;;>>>AAAFFFKKKKKKHHHBBB===888222***&&&''')))((('''''''''''''''''''''''''''###$$$%%%%%%&&&&&&%%%%%%!!!"""###%%%&&&'''((((((&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$'''&&&&&&&&&%%%%%%%%%%%%&&&&&&'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%$$$#########$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&''''''&&&&&&&&&''''''((((((((((((((((((((((((((((((((()))))))))*********((())))))***++++++,,,,,,,,,---///222999DDDPPPXXXgggpppuuurrrooorrruuuuuuwwwxxxmmmeeegggccc___dddmmmvvv}}}|||vvvpppqqqzzzzzzxxxvvvxxx}}}xxxmmmeeeccceeekkksssxxxyyyuuuqqqnnnooorrruuuvvvwwwzzz|||xxxxxxxxxwwwwwwzzz~~~~~~}}}|||{{{{{{|||}}}zzzrrrxxx}}}|||{{{wwwhhhWWWFFF666000111------+++*********++++++))))))))))))))))))))))))'''''''''''''''''''''''')))))))))(((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&%%%$$$%%%'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&''')))'''&&&$$$$$$%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''(((&&&&&&&&&&&&&&&&&&PPPTTT]]]iiinnnkkkhhhhhhkkkooopppllleeebbbeeejjjllllllkkkgggbbb___aaacccccc___\\\\\\___bbbbbbaaaYYYVVVSSSSSSRRROOOIIIDDDBBB===:::999777444444777222333333444666999<<<===CCCEEEIIIPPPUUUUUUQQQMMMJJJJJJJJJKKKNNNOOOOOONNNQQQNNNKKKKKKMMMOOONNNMMMHHHEEEBBB===888444111///000000000///---,,,.../////////000111333666999;;;;;;===AAAGGGMMMRRRSSSSSSUUUQQQPPPRRRTTTWWW___hhhjjjqqqtttpppjjjgggccc``````ccceeegggiiinnnvvv||||||wwwrrrnnnjjjgggmmmuuuvvv}}}wwwppplllcccZZZVVVWWWSSSJJJ???:::;;;???IIILLLNNNKKKCCC:::333000---***((()))++++++(((%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%&&&&&&%%%%%%"""###$$$%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&''''''''''''&&&(((((('''&&&&&&&&&''''''(((((((((((((((((((((((((((((())))))))))))******((((((((())))))******+++)))))))))***---333<<>>;;;======???===999666777888777666777999===@@@AAA???===999888888:::<<<===<<<;;;<<<:::888666666777888999666444222000...//////000000111333333333444666777777888:::<<>>GGGQQQXXX^^^fffpppwwwzzzoooggghhhrrrzzzuuuwwwxxx}}}{{{xxxyyy|||~~~~~~}}}~~~{{{xxxxxx{{{~~~yyyrrrpppmmmjjjvvvwwwiii]]]DDD:::111...,,,)))(((***))))))))))))(((((())))))))))))))))))))))))))))))''''''''''''''''''''''''))))))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%&&&%%%$$$%%%'''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&'''''''''&&&%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''DDD???;;;===@@@CCCJJJQQQ]]]gggppppppiiicccdddggggggiiikkkjjjhhhhhhkkknnnnnnkkkiiijjjlllmmmjjjggg___^^^]]][[[YYYUUUQQQMMMJJJIIIKKKOOOOOOJJJGGGHHHQQQTTTQQQHHHAAAAAA@@@>>>;;;999888888888999999888555444333444777888888777555666666444111111555999555333222222222555777999777:::===????????????@@@CCCDDDEEEGGGIIIKKKMMMNNNKKKPPPWWW___ddddddaaa^^^SSSQQQSSSYYY]]]aaaiiirrrhhhjjjhhhcccbbbeeegggfffeeeiiijjjggglllxxx}}}wwwqqqmmmgggbbbcccgggkkklllfffWWWGGG>>>:::999;;;999888<<>>222***((())))))((('''''''''((((((((('''%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$(((''''''&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&&&&&&&%%%$$$%%%&&&'''(((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''(((((('''''')))((('''&&&&&&&&&&&&&&&(((((((((((((((((((((((('''(((((((((((()))))))))'''''''''''''''((((((((()))))))))(((((())),,,///000777BBBKKKSSS[[[fffooottt~~~qqqhhhgggmmmttt}}}}}}tttrrrrrrvvvppprrr}}}~~~{{{uuujjjcccbbbkkksssxxx~~~zzz}}}fffTTTFFF===///)))(((+++---***''''''((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&'''''''''((((((((()))&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&%%%$$$%%%'''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%&&&(((((('''%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%''''''''''''''''''TTTKKKAAA;;;888777<<>>@@@CCCDDD@@@===999777666777999<<<======888:::;;;;;;;;;<<<@@@CCCAAA???>>><<<<<<>>>???@@@BBBEEEIIIKKKJJJJJJJJJJJJJJJJJJJJJJJJLLLNNNPPPQQQNNNUUU___fffhhhfffcccbbbYYYWWWXXX[[[]]]^^^ccciiihhhlllmmmkkkjjjjjjhhhccc```eeefffeeemmm{{{wwwqqqllljjjeee^^^\\\^^^YYYWWWOOOCCC888333666:::<<<===BBBKKKSSSSSSKKKCCC777000)))(((+++,,,)))%%%)))((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$%%%&&&'''))))))(((''''''&&&&&&&&&&&&''''''''''''&&&&&&'''(((((((((((('''(((((('''&&&&&&&&&''''''((((((((((((((((((((((((''''''(((((((((((())))))'''''''''''''''''''''''''''((())))))((((((***,,,***///999CCCIIIPPP[[[fffoooqqqdddbbbfffsssyyy{{{zzzvvvvvvpppoootttwww|||~~~|||~~~|||yyy~~~{{{{{{|||~~~|||{{{qqqfff```^^^dddppp~~~vvvssswwweeeJJJ999111...---)))'''******(((''')))''''''((()))))))))((((((((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%$$$%%%'''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$YYYSSSMMMJJJFFF@@@@@@BBBDDDIIINNNPPPPPPRRRUUUXXXZZZ]]]aaacccccccccgggjjjpppnnnllllllmmmkkkfffbbb``````^^^\\\ZZZYYYYYYZZZVVVTTTTTTWWWVVVRRRQQQRRRUUU^^^^^^UUUQQQUUUXXXUUUMMMHHHIIITTTaaacccVVVIIIDDDBBB???@@@CCCFFFIIIJJJFFFDDDCCCHHHOOOSSSSSSQQQNNNMMMKKKIIIHHHGGGHHHHHHHHHJJJLLLLLLLLLMMMOOOQQQLLLKKKJJJJJJKKKNNNPPPRRRTTT]]]hhhllliiicccaaaaaa[[[XXXYYY[[[]]]^^^cccjjjoooqqqpppllliiihhhccc]]]\\\aaabbbbbbkkkyyy}}}wwwmmmhhhdddbbb]]]UUUPPPOOODDDBBB>>>999666777<<>>@@@IIITTT```tttvvvrrr{{{|||wwwlllppp{{{wwwvvvuuuvvvyyy|||{{{rrrwww}}}zzzzzz}}}zzzssspppqqqsssttt}}}uuupppuuu|||~~~}}}|||}}}rrrpppwww{{{yyyyyy}}}zzzppplllqqqqqqlllmmmsssyyyyyyuuuoooddd^^^]]]dddxxx}}}{{{uuuqqquuu}}}|||tttaaaHHH666///---,,,,,,***)))***(((&&&''',,,&&&'''((()))***))))))(((((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%$$$$$$&&&%%%$$$%%%'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&'''''''''&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$RRRQQQTTTXXXWWWQQQLLLLLL===>>>???@@@BBBGGGLLLQQQRRRVVV[[[]]]^^^___cccfffqqqnnnkkkjjjkkkjjjgggcccaaabbbbbbbbbccceeeiiillloooiiiddd```[[[UUUSSSTTTPPPZZZ^^^VVVTTT]]]bbb```WWWQQQUUUiiinnnWWWSSSPPPMMMLLLPPPTTTXXXZZZWWWPPPMMMUUUccckkkfff___UUUTTTSSSQQQPPPPPPOOOOOOFFFFFFFFFEEEEEEHHHLLLOOOMMMKKKJJJIIIJJJNNNQQQTTTVVV```kkkkkkcccZZZXXXYYYWWWUUUUUUYYY]]]bbbkkktttxxxuuummmddd______]]]YYY\\\`````````iiiuuussshhh```[[[WWWVVVQQQGGG@@@>>>888777777999:::===CCCHHHVVVSSSOOOGGG???777111...((())))))'''%%%$$$%%%'''&&&'''(((((('''&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%"""###$$$%%%&&&&&&&&&&&&(((''''''&&&&&&''''''((($$$$$$$$$%%%%%%&&&&&&&&&'''''''''((((((((())))))***)))'''&&&&&&'''((()))(((((((((((((((((((((((($$$%%%'''(((((('''%%%$$$$$$%%%'''((()))((('''&&&&&&&&&&&&'''''''''((((((&&&''''''(((((((((((((((&&&&&&&&&&&&&&&'''((()))((((((((((((((((((((((((''''''''''''((((((((()))((((((((((((((((((''''''''')))+++,,,***))))))***((((((,,,111000...444>>>FFFWWW```dddggg```\\\ccciiiooovvvxxxrrrrrr~~~nnnccc___aaabbbcccllljjjooovvvuuunnnqqq||||||xxxqqqkkkhhhjjjlllnnnhhhgggmmmuuuyyy|||xxxvvvwww~~~}}}uuufffhhhgggggglllwww~~~www{{{}}}}}}www{{{sssnnnhhhbbbhhh```___hhhkkkfffgggnnn~~~}}}|||mmmhhhgggiiihhhdddffflllppp{{{xxxsssrrrxxx~~~qqqeeeNNNHHH<<>>888999===AAADDDLLLLLLOOOUUUWWWTTTSSSTTTYYYYYYYYYZZZ\\\^^^aaabbb^^^aaaaaa^^^aaannn~~~}}}kkkaaa^^^]]]YYYUUUXXXVVVVVVXXX[[[ZZZVVVSSSSSSRRRVVVdddpppoooaaaRRRVVVSSSQQQRRRWWW[[[[[[[[[SSSRRRTTT]]]fffggg^^^TTTWWWQQQOOOOOOLLLHHHKKKRRRKKKKKKKKKKKKLLLNNNRRRUUUVVVUUUTTTSSSSSSTTTUUUVVVVVV^^^ccc```]]]^^^______[[[]]]___bbbdddgggkkkmmmnnnlllgggaaa\\\ZZZ[[[]]]bbb___\\\^^^aaabbb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eeekkkooouuu~~~qqqdddZZZSSSQQQRRRRRRSSSXXX[[[\\\```kkkwwwwwwyyyzzzpppssspppkkkttt~~~wwwnnniiihhhhhhaaaccchhhooowwwxxxpppfffbbbZZZVVV```ooowwwvvvrrrnnnqqqsssqqqooonnnpppsssuuutttrrrnnniiihhhiiilllnnnmmmqqqzzz~~~{{{vvvttt~~~|||zzzooofffaaa^^^]]]___iiivvv~~~|||{{{ooo___PPPFFF222000---***(((((((((((())))))((((((((((((((()))'''((()))******)))((('''((((((''''''''''''((((((%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&'''(((((((((''''''%%%$$$$$$%%%&&&'''((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&NNNTTT\\\aaabbb```^^^]]]VVVNNNDDD===;;;<<<>>>??????@@@FFFOOOSSSPPPOOOQQQWWWXXXYYYZZZ[[[[[[[[[ZZZZZZ___``````ffftttxxxiii```___^^^[[[XXXXXXWWWWWWXXXXXXXXXVVVTTTSSSSSSTTTYYY[[[WWWNNNFFFJJJJJJJJJLLLOOOQQQQQQQQQRRRRRRTTTWWWYYYVVVPPPJJJHHHDDDCCCEEEDDDBBBEEELLLSSSTTTVVVUUUSSSSSSUUUXXXXXXWWWVVVUUUTTTTTTUUUVVVWWW```ggggggeeeeeeeeeddd\\\^^^___aaacccfffiiikkkkkkhhhddd```]]]\\\[[[[[[\\\ZZZXXXYYY[[[XXXRRRMMMEEEBBB>>>:::777666666777999;;;@@@EEEHHHGGGCCC@@@===777///***(((((('''&&&(((((('''''''''&&&&&&&&&''''''''''''''''''''''''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&''''''''''''(((((('''&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''(((((((((((('''''''''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''&&&%%%%%%%%%&&&''')))***%%%&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%&&&'''(((((('''''''''&&&&&&&&&&&&)))(((((((((((((((((()))(((((((((((())))))))))))***,,,111555;;;CCCJJJPPPVVV]]]fffmmmpppqqqtttuuu~~~xxxnnneee^^^XXXUUUTTTKKKJJJKKKNNNPPPWWWfffuuu||||||yyy|||zzz{{{tttjjjfffeeecccbbbhhhggggggiiillllllgggaaaddd^^^\\\cccqqqzzz}}}{{{ssstttssspppkkkjjjlllooo}}}yyyuuutttuuutttpppmmmgggkkkwwwzzz{{{zzz}}}~~~wwwttttttllljjjddd]]]WWWUUUVVVYYYiiivvv~~~zzzzzz~~~tttgggVVVEEE888000...---+++)))(((((()))***))))))((((((((((((((()))'''((()))******)))((('''((((((''''''''''''((((((%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%$$$######$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&'''(((((((((((('''&&&%%%%%%&&&''''''((('''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&FFFLLLTTTZZZ]]]]]]]]]]]]\\\WWWOOOIIIFFFFFFFFFFFF:::999<<>>777222...+++'''%%%%%%&&&&&&%%%'''''''''''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&'''''''''((((((((('''''''''&&&&&&&&&%%%%%%''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''''''''((((((''''''''''''''''''''''''$$$$$$$$$%%%&&&(((***+++%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&((((((''''''''''''((((((%%%&&&&&&&&&&&&'''''''''((())))))+++...666>>>DDDNNNTTT___iiioooqqqpppnnnnnnllljjjiiiiiijjjiiihhh[[[UUUOOOKKKIIIMMMYYYeeemmmssswwwwwwyyy}}}}}}~~~|||qqqiiilllqqqqqqnnnuuurrrooolllkkkjjjjjjjjjqqqoooooosss{{{yyytttqqqsssvvv}}}xxxvvvzzzuuujjjeeejjjwww{{{vvvmmmjjjiiikkkjjjjjjnnntttzzzvvvrrrllldddSSSVVVXXXWWWTTTVVV\\\bbbzzzvvvsssvvvzzz{{{tttfff___TTTGGG;;;222---******)))((('''((()))***+++)))((((((''''''((())))))'''(((((())))))(((((('''((((((''''''''''''((((((&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&''''''(((((((((''''''&&&&&&'''((((((''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&999???GGGNNNSSSVVVYYY[[[YYYWWWSSSQQQPPPPPPQQQRRRFFF@@@<<<<<<;;;:::===BBBJJJKKKMMMOOOPPPQQQQQQQQQTTTXXXZZZ\\\bbbhhhjjjgggccc___ZZZXXXXXXYYYXXXWWWSSSVVVYYYZZZ[[[___eeejjjrrrqqqllldddZZZSSSRRRSSSJJJLLLOOONNNLLLKKKNNNQQQSSSRRRQQQOOOMMMKKKJJJIIIAAABBBDDDFFFFFFGGGJJJMMMLLLRRRYYYZZZVVVTTTVVVYYYYYYYYYYYYYYYZZZZZZ[[[[[[aaagggkkkhhheeeccc```[[[[[[[[[\\\___cccgggiiijjjdddaaa]]]^^^___\\\UUUOOOFFFDDDBBB@@@???;;;666222///000222666;;;@@@EEEGGGFFFAAA:::444000...+++)))&&&&&&%%%%%%&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''(((((((((((()))''''''''''''''''''&&&&&&''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((()))%%%%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&''''''(((%%%%%%%%%%%%&&&&&&&&&&&&***)))(((&&&'''***000555===BBBLLLXXXeeennnrrrsssffffffgggiiiooowwwyyywwwssskkkbbb\\\WWWSSSVVV\\\ZZZ]]]^^^]]]```fffjjjjjjooottt{{{~~~wwwqqquuu~~~|||qqqooovvv~~~}}}{{{yyywwwsssrrrvvv|||~~~vvvvvvxxxrrreeebbbeeeooozzz{{{wwwvvvlllfff```]]]\\\^^^hhhrrrooopppkkk___UUUPPPNNNKKKWWW___gggjjjiiikkkpppvvvzzzoooooossswwwwwwxxxyyyvvvnnn___SSS@@@<<<555///,,,,,,...000'''''''''''''''((()))***(((((('''''''''((())))))(((((((((((((((((((((((((((''''''&&&&&&''''''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""$$$&&&'''((())))))$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''$$$%%%%%%&&&&&&'''((((((''''''''''''((((((((()))'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&,,,111999@@@FFFKKKPPPSSSOOOOOOOOOOOOPPPQQQSSSTTTPPPLLLHHHHHHDDD>>><<<>>>@@@???@@@AAADDDHHHLLLNNNNNNRRRTTTUUUXXX\\\ZZZUUUVVVVVVUUUVVVVVVWWWVVVVVVVVVYYY\\\]]]^^^cccjjjooonnnlllhhhccc^^^[[[YYYXXXVVVWWWWWWUUURRRRRRWWW[[[```]]]YYYYYY[[[[[[YYYVVVOOOQQQRRRQQQQQQRRRTTTUUUTTTYYY^^^^^^[[[YYYZZZ\\\XXXXXXZZZ[[[\\\^^^^^^___bbbffffffaaa^^^^^^\\\XXXYYYWWWVVVXXX[[[]]]]]]\\\UUURRRNNNNNNNNNKKKDDD===<<<:::666444444444444333333777<<>>777///(((&&&&&&'''(((%%%&&&'''(((''''''''''''&&&'''''''''''''''''''''''''''''''''''''''''''''&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''(((((((((((()))((())))))))))))(((''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''((())))))((('''''')))+++111222777AAANNN\\\fffkkkccccccbbbccclllyyy~~~{{{wwwsssqqqqqqooohhhddddddSSSSSSOOOKKKLLLRRRVVVVVV[[[```eeeiiilllooouuuyyyiiieeeeeeooo{{{~~~yyyrrrvvv}}}{{{sssnnnmmmnnnrrrxxx~~~~~~~~~{{{www{{{~~~zzzvvv|||xxx}}}{{{kkk```\\\___hhhssswwwuuusssuuupppggg]]]UUUNNNMMMWWWbbbYYY]]]ZZZOOOFFFHHHQQQWWWnnnwwwzzzzzz}}}vvvooommmqqquuuwwwpppggg```XXXJJJ:::///000...+++((('''(((+++---(((((('''''''''''''''''''''''''''''''''((())))))((((((''''''''''''((((((''''''&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""$$$&&&'''((())))))$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&'''''''''$$$$$$%%%%%%&&&'''''''''&&&''''''((((((((())))))&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&%%%)))...444999>>>CCCFFFIIIKKKMMMMMMMMMNNNPPPSSSQQQRRRWWW\\\XXXNNNDDDAAA:::999888888;;;@@@EEEHHHDDDJJJMMMNNNOOORRRQQQMMMOOORRRVVVXXXWWWVVVVVVVVVZZZ[[[\\\\\\]]]```dddgggccc```\\\\\\]]]\\\ZZZXXX\\\[[[ZZZXXXVVVWWWYYY[[[bbb^^^[[[\\\^^^^^^ZZZVVVWWW[[[[[[XXXWWWZZZ]]]]]]`````````]]]ZZZXXXXXXXXXVVVWWWYYYZZZ\\\]]]^^^^^^^^^```___[[[ZZZ\\\[[[XXXVVVRRRNNNMMMNNNNNNKKKHHHJJJGGGCCCBBBAAA???:::666777555222111222666:::<<>>888000***(((*********))))))))))))))))))((((((((('''&&&&&&%%%&&&&&&&&&&&&'''((())))))(((''''''&&&&&&''''''(((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&&&&&&&''''''''''''$$$$$$$$$%%%&&&&&&''''''%%%&&&'''(((((((((((((((&&&&&&%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&$$$'''))),,,...111555888CCCFFFHHHIIIJJJKKKNNNQQQRRRTTT[[[bbb```UUULLLHHH???>>><<<;;;<<<>>>@@@AAA<<>>BBB@@@===;;;999888999999555555666777999===BBBFFFEEECCC@@@<<<666000***'''%%%%%%&&&(((***+++)))'''%%%''')))(((&&&%%%&&&'''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&''''''''''''((()))***+++***)))'''&&&''''''&&&&&&&&&&&&''''''((('''%%%$$$$$$%%%'''((('''&&&&&&%%%%%%&&&&&&'''######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$###$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%&&&''''''&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''###%%%'''(((''''''((()))((())))))((()))---444:::;;;@@@DDDLLLaaa{{{llliiijjjqqqtttmmmccc]]]___```___]]]___bbb___ZZZKKKKKKJJJFFFDDDFFFMMMRRRRRRQQQVVVaaagggeeebbbbbbiiijjjlllnnnlllhhhdddccciiimmmsssvvvvvvxxxzzz}}}|||vvvvvv{{{yyyrrrrrrzzzyyyooolllfff^^^iiiooowww{{{yyyvvvttttttyyyzzzyyysssiii___XXXVVVUUUVVVZZZ\\\WWWMMMHHHIIIKKKJJJKKKKKKKKKOOO]]]jjj{{{zzztttllljjjqqqyyy|||~~~}}}vvvooojjjhhhiiiddd]]]YYYYYYXXXUUUQQQAAA777...,,,,,,)))***...%%%&&&((()))***+++******(((((((((((((((''''''&&&&&&&&&&&&&&&'''((())))))((('''&&&&&&&&&&&&'''((('''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%$$$######$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''###$$$$$$%%%%%%&&&''''''###$$$&&&'''((((((''''''%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&'''(((((((((((())),,,///888<<>>777???CCCAAA===>>>AAABBBGGGNNNUUUXXXUUUQQQPPPPPPPPPNNNMMMOOOTTTWWWVVVUUUZZZYYYVVVSSSQQQQQQTTTVVVUUUTTTVVVXXXZZZWWWQQQKKKLLLRRRZZZ[[[XXXUUUUUUWWWSSSXXXYYYVVVXXXbbbiiiiiiggg```XXXTTTVVVYYYXXXWWWTTTUUUVVVVVVVVVUUUSSSSSSTTTWWWWWWTTTSSSRRRMMMGGGJJJFFFBBBBBBEEEFFFCCC???:::999777444111222666999666888;;;===@@@DDDHHHKKK>>>:::444...***))))))***)))'''%%%%%%&&&&&&&&&%%%&&&)))***)))'''&&&(((***&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&((()))***)))(((&&&%%%'''''''''&&&&&&'''''''''((('''%%%$$$$$$%%%'''((('''&&&&&&%%%%%%&&&&&&'''#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%&&&'''&&&&&&%%%$$$$$$%%%&&&&&&&&&%%%%%%########################"""###$$$&&&''''''&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&''''''(((&&&$$$###$$$%%%"""&&&******((((((---111...444777>>>QQQjjjsssooo```\\\]]]eeekkkhhhbbb^^^^^^bbbgggjjjpppsssooohhhbbb```ZZZQQQKKKJJJNNNSSSKKKJJJNNNWWW[[[YYYYYY\\\___[[[ZZZ^^^bbbcccaaa___cccdddfffgggiiilllooorrrooofffeeekkklllfffhhhooo}}}yyyiiiaaabbb```XXXdddiiinnnpppnnnjjjiiiiiijjjfff```YYYRRROOONNNOOOMMMKKKKKKLLLIIIHHHLLLRRRUUUWWWZZZ^^^___cccppp}}}{{{vvvnnnjjjnnnvvvxxxuuuwwwvvvtttqqqooommmkkkjjj^^^\\\YYYUUUOOOFFF<<<555222,,,+++......(((&&&((('''((()))))))))(((&&&&&&&&&'''(((((()))(((((((((%%%%%%%%%&&&'''((()))***((('''&&&%%%%%%&&&'''((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%$$$$$$#########%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&'''''''''((((((###$$$$$$%%%%%%&&&''''''"""###%%%'''((((((''''''%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((,,,---...000555;;;@@@CCCKKKNNNQQQTTTUUUTTTRRRPPPJJJIIIIIILLLOOONNNGGGAAA???;;;666444555888:::<<>>>>>===;;;888555333666666555333333666;;;>>>CCCCCCDDDDDDBBBAAA???===///---+++(((''''''((((((%%%&&&&&&''''''&&&&&&%%%))))))))))))))))))))))))((((((((((((((((((((((((%%%&&&&&&&&&'''((((((((($$$$$$%%%&&&&&&''''''((($$$&&&((('''&&&%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$###%%%%%%%%%$$$$$$#########%%%&&&&&&%%%%%%&&&'''((($$$$$$%%%%%%%%%%%%&&&&&&'''%%%###$$$&&&'''&&&###%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$#########%%%$$$$$$######$$$$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%&&&'''&&&$$$###$$$%%%''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''******,,,000777AAAJJJOOOJJJKKKNNNQQQVVVZZZ^^^```]]]eeeqqq}}}vvvnnnggggggeeeaaa]]]\\\```dddWWWYYY\\\aaaccc```XXXRRRKKKIIIHHHIIIKKKMMMNNNNNNRRRMMMNNNWWW\\\YYYWWWXXXSSSSSSRRRTTTWWWWWWUUURRR___ZZZSSSOOONNNOOOOOOOOOUUUOOOLLLOOORRRQQQPPPPPPNNNMMMJJJGGGEEEGGGLLLPPPNNNRRRSSSPPPSSS]]]fffiiirrrooollllllooosssvvvwwwvvvpppkkkjjjmmmpppooolllmmmllljjjhhhgggeeeaaa___OOOKKKEEE===666111...,,,))))))))))))))))))))))))&&&''''''(((((((((((((((&&&&&&&&&''''''''''''(((%%%%%%%%%$$$$$$#########'''''''''''''''''''''''''''&&&%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''"""###$$$$$$%%%%%%%%%%%%""""""###$$$%%%%%%&&&&&&%%%&&&'''&&&$$$###$$$$$$########################&&&%%%$$$#########$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%###%%%'''&&&$$$###%%%'''$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''')))))))))***---111555888???AAAEEEHHHJJJKKKKKKJJJIIIHHHJJJOOOTTTTTTPPPKKKBBBBBBAAA@@@>>>;;;:::999777777888999:::<<<>>>???AAA@@@???AAACCCFFFFFFFFFJJJIIIGGGGGGIIIJJJKKKKKKGGGFFFDDDBBBAAABBBBBBCCCCCCGGGKKKMMMLLLKKKJJJJJJHHHFFFEEEHHHMMMOOOMMMJJJKKKKKKJJJIIIGGGFFFDDDCCCCCCBBBBBBCCCEEEEEECCC@@@>>>???@@@@@@???===;;;:::===<<<:::888666555444444777999;;;<<<<<<===@@@BBBBBB???<<<888555333222222+++***(((&&&%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%((('''&&&$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$######%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%###!!!"""$$$%%%$$$"""%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%&&&'''&&&$$$$$$%%%&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&'''***...222555999:::>>>CCCIIIOOOTTTVVV[[[fffuuu}}}rrrjjjddddddcccccccccfffkkknnnooooooooopppnnniii```ZZZMMMLLLJJJIIIJJJLLLMMMMMMRRRNNNNNNRRRRRRMMMJJJKKKHHHJJJKKKIIIFFFDDDCCCCCC??????>>>>>>???BBBHHHLLLNNNIIIHHHMMMQQQQQQPPPQQQSSSQQQOOOMMMOOOVVV```gggkkkeee______ccciiimmmnnntttqqqnnnmmmnnnpppqqqqqqeeebbb```cccgggiiigggeeelllggg```YYYRRRJJJDDD???777555111...+++***))))))))))))))))))))))))))))))&&&&&&'''(((((((((((((((&&&&&&&&&&&&''''''''''''''''''&&&&&&%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''######$$$%%%%%%%%%$$$$$$"""######$$$%%%%%%&&&&&&%%%%%%%%%$$$#########$$$########################&&&%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&%%%%%%&&&(((+++,,,111333666:::===@@@BBBCCCCCCCCCEEEKKKPPPRRROOOLLLFFFLLLQQQRRRMMMFFFBBB???::::::999888888888888888<<<;;;:::;;;===?????????@@@AAABBBCCCCCCEEEIIIKKKFFFDDDAAA===<<<<<<>>>???===@@@CCCEEEDDDCCCBBBBBB@@@>>>===???CCCDDDBBB???HHHIIIIIIIIIGGGDDDAAA??????@@@CCCFFFHHHFFFBBB>>>;;;;;;;;;;;;:::999888777:::999777555555666888999===???CCCDDDBBB@@@>>>>>>;;;777111,,,(((((()))***((('''&&&%%%$$$%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''&&&%%%$$$$$$$$$)))&&&$$$"""###%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%###"""###'''((('''%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$###""""""$$$$$$###"""%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$###$$$%%%&&&''''''&&&%%%$$$######$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$%%%'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&%%%+++,,,000444999???CCCEEENNN[[[nnnzzzzzzsssiiibbbZZZYYYXXXZZZ___dddhhhjjjvvvtttrrrppplllfff___ZZZVVVUUUTTTTTTUUUWWWZZZ\\\___]]]\\\[[[VVVOOOLLLNNNQQQSSSSSSOOOJJJGGGIIILLLFFFJJJNNNPPPQQQWWW___fffZZZUUUUUU[[[```aaaaaabbb___[[[WWWUUUZZZfffuuuttthhhiiinnnmmmlllmmmgggfffeeeeeeggghhhhhhhhhfffdddbbbcccdddccc___[[[VVVQQQJJJBBB<<<666000---)))(((''''''((()))***+++))))))))))))))))))))))))&&&&&&'''(((((((((((('''&&&&&&&&&&&&''''''''''''((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%$$$###############$$$$$$%%%%%%&&&&&&%%%$$$###"""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%$$$$$$&&&&&&%%%$$$&&&&&&&&&'''''''''((((((&&&&&&&&&''''''''''''(((%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''((('''%%%%%%%%%&&&'''(((+++,,,...111444888;;;===??????AAAEEEIIIJJJIIIGGGEEEMMMVVVXXXTTTMMMIIIHHHEEEDDDAAA???<<<;;;999999:::888777777888999888777888;;;======<<<>>>BBBGGGGGGEEECCCAAA?????????@@@===???AAAAAAAAA@@@@@@AAA@@@@@@@@@BBBEEEFFFEEECCCIIIJJJKKKKKKJJJGGGDDDAAACCCEEEGGGHHHGGGCCC>>>;;;:::999999999888888888888999999999:::;;;>>>@@@AAABBBDDDDDDBBB===777333111000---)))&&&%%%&&&(((***((('''&&&&&&&&&'''((((((%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$'''%%%###$$$'''))))))(((########################%%%$$$$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''$$$###%%%)))***(((%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%'''(((((('''%%%$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%'''&&&%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((((((((((((((()))))))))***+++,,,///111333444999FFFVVV___```\\\YYYXXXQQQNNNLLLNNNTTTYYYZZZZZZdddcccaaa___]]]ZZZWWWUUU[[[\\\]]]^^^aaadddiiillllllmmmmmmjjjddd``````cccfffccc^^^YYYWWWYYY^^^bbbWWWYYY\\\___ccchhhnnnrrrjjjdddaaaeeejjjkkkmmmppplllggg```\\\```mmm~~~tttfffhhhiiibbb___ddd`````````cccfffhhhgggfffmmmiiiddd___ZZZUUUNNNJJJ>>>:::555111///...---+++++++++***)))******++++++((((((((((((((((((((((((%%%&&&''''''((((((''''''%%%%%%&&&&&&&&&'''''''''((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''(((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$###"""#########$$$$$$%%%%%%%%%'''%%%#########%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%'''%%%###$$$&&&'''%%%###&&&&&&&&&&&&''''''''''''&&&&&&&&&''''''''''''(((%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%&&&'''((()))******+++,,,...111333555999:::<<>><<<===??????>>>>>>???AAABBBBBBBBBCCCEEEEEEDDDCCC???AAABBBCCCBBB@@@===;;;?????????>>>;;;888666444222333444666888:::;;;<<<>>>???@@@BBBBBBAAA@@@@@@???>>><<<777000+++((('''&&&&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&''''''(((%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%&&&''''''&&&$$$########################%%%%%%$$$$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###%%%((((((&&&$$$#########$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%'''(((((('''%%%$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&$$$$$$%%%''')))+++******)))))))))***++++++---444<<<@@@@@@AAADDDHHHHHHEEECCCEEEJJJOOOOOOOOORRRRRRRRRQQQPPPQQQRRRSSSWWWYYY\\\^^^___bbbfffiiiiiilllnnnlllkkklllpppsssoooeeeYYYSSSUUU\\\aaaccc]]][[[[[[bbbkkkrrrtttsssiii```YYYZZZ]]]___ccchhhpppkkkddd___aaalll{{{|||lllaaaaaa]]]SSSSSS\\\gggffffffffffffeeeccc```\\\XXXPPPHHHBBB<<<888555444000,,,*********)))(((+++***)))((('''&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&'''''''''''''''%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$###"""###$$$$$$$$$$$$$$$%%%%%%(((%%%######%%%''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%'''%%%###$$$&&&'''%%%###$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''(((%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$%%%&&&'''((()))(((((((((((()))***,,,,,,,,,...000333777;;;>>>???CCCFFFIIIJJJHHHGGGGGGIIICCCCCCCCCDDDEEEFFFHHHIIIDDDBBB???>>>???>>>===<<<;;;<<<;;;:::888888:::<<<999;;;===>>>>>>;;;999777888999:::::::::;;;===???>>>>>>>>>===<<<;;;999999666777888999999888666555888999999888666555555777111333666:::>>>AAACCCDDDBBBCCCCCCBBB???;;;777555222111...***&&&$$$%%%&&&###$$$&&&'''&&&%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%#########$$$%%%&&&&&&&&&$$$&&&'''&&&$$$"""""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$&&&'''(((###$$$$$$$$$$$$%%%%%%%%%###$$$%%%&&&%%%$$$###"""############$$$$$$$$$$$$"""###$$$$$$""""""###$$$%%%$$$$$$######$$$$$$%%%###$$$$$$$$$$$$%%%%%%%%%$$$%%%&&&''''''&&&%%%$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%&&&'''((('''%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''(((&&&$$$######%%%''')))&&&&&&&&&&&&''''''((()))+++,,,---,,,+++---333777777777777:::>>>BBBDDDEEEEEEEEEEEEDDDDDDEEEHHHJJJPPPTTTWWWXXXVVVVVVXXXZZZ[[[___bbbbbbeeemmmsssuuupppbbbRRRKKKOOOVVVYYYYYYZZZWWWXXXaaannnwwwwwwtttaaaWWWOOOOOORRRVVVZZZ___hhheee```\\\]]]cccmmmttthhh```ZZZWWWPPPHHHKKKSSS___\\\XXXTTTPPPKKKFFFBBB===:::555000---,,,,,,,,,)))'''&&&&&&((()))******''''''''''''&&&&&&%%%%%%''''''''''''''''''''''''%%%%%%&&&''''''''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$"""$$$'''(((&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%&&&%%%$$$$$$&&&&&&%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''(((%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%&&&'''((((((&&&'''''''''((((((((((((%%%&&&(((***,,,///333555;;;<<<===???AAACCCEEEFFFAAAAAABBBCCCEEEGGGIIIJJJGGGEEEDDDEEEFFFGGGGGGFFFCCCAAA???>>>>>>??????>>>999999:::999888666444222333444444444555777:::===777888888777555444333333444555666777888888888888999;;;======;;;;;;<<<>>>888:::===@@@BBBCCCCCCCCC===<<<999666222///,,,***&&&''''''&&&$$$$$$&&&'''$$$%%%&&&&&&&&&%%%###"""%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$%%%%%%$$$'''(((%%%!!!!!!'''---%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$$$$&&&((()))######$$$$$$$$$%%%%%%%%%$$$(((+++***%%%""""""$$$############$$$$$$$$$$$$"""###%%%$$$"""!!!###%%%%%%$$$$$$######$$$$$$%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%%%%$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%((())))))(((%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''')))(((''''''&&&&&&''''''%%%%%%%%%%%%&&&'''((())))))((('''&&&'''(((***+++(((***,,,...000333666999666777888777666777;;;>>>DDDIIINNNOOOLLLIIIIIIKKKNNNPPPQQQQQQXXXccciiihhhcccYYYMMMGGGIIINNNQQQQQQMMMKKKMMMSSS\\\aaaaaa^^^UUUMMMIIIKKKQQQTTTYYY]]]ZZZYYYWWWTTTRRRRRRUUUXXXPPPOOOLLLEEE???<<<>>>AAACCC@@@<<<888444111,,,)))++++++***)))((((((***+++"""""""""%%%(((***++++++''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''%%%###"""!!!###$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###!!! ###'''((($$$ %%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%&&&&&&&&&'''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&'''''''''((((((((((((&&&'''(((((())))))(((((())))))*********+++...000++++++---111777<<>>>>>>>>>>>???@@@AAAAAAAAA@@@@@@AAADDDFFFGGGGGGIIIFFFBBBBBBDDDEEEDDDBBB>>>===;;;888666444333333000111222222333555999===333444666666666555666777666666777888999:::;;;<<<;;;???BBBCCC@@@??????AAA===???@@@@@@???<<<999777333111---***'''&&&&&&&&&"""$$$&&&&&&&&&%%%'''((($$$%%%%%%&&&&&&'''''''''(((((())))))(((((('''&&&%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$############'''(((%%%"""&&&222===%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$###$$$&&&(((***#########$$$$$$%%%%%%%%%'''---111///((($$$%%%((("""############$$$$$$$$$###&&&'''&&&$$$###%%%'''%%%$$$$$$$$$$$$$$$$$$%%%#########$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%######$$$$$$$$$%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%)))******(((%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$&&&'''(((((('''&&&$$$(((''''''&&&'''''''''((($$$$$$$$$''')))***(((&&&%%%(((++++++***+++///333+++---/////////000444888555;;;BBBDDDAAA>>>>>>@@@CCCDDDCCCCCCJJJVVVZZZWWWMMMIIICCC???@@@CCCFFFIIIMMMMMMNNNOOOPPPPPPNNNMMMEEE@@@???EEEMMMQQQTTTWWWPPPPPPOOOLLLGGGCCC@@@@@@===???<<<333///111111///000...,,,+++,,,,,,+++***((()))++++++)))(((''''''((('''''''''((('''%%%###'''''''''''''''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%(((&&&""" !!!###%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$ """&&&'''"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%###&&&(((&&&$$$###%%%'''&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''(((((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((('''%%%$$$$$$%%%&&&''''''&&&%%%$$$$$$%%%&&&'''))))))(((((('''''''''&&&******+++,,,...///000111333333555666888999;;;;;;999:::<<<>>>AAACCCEEEFFFHHHEEEBBBBBBDDDEEECCCAAABBBBBBBBBAAA@@@>>>===<<<666777777888999:::;;;;;;555555666888999;;;<<<<<<;;;<<<===>>>@@@AAABBBCCCEEEDDDCCCBBBAAA@@@???>>>===<<<:::888555222000///++++++)))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%&&&&&&$$$######%%%'''&&&%%%%%%$$$$$$%%%%%%&&&########################""""""###$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%...IIINNN222$$$)))"""%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&&&&$$$######$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$((('''%%%$$$###$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%((()))***)))'''&&&&&&''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''***)))(((''''''((()))***((((((((((((***,,,...///,,,...000111111111333555444555777:::===@@@BBBCCC???>>><<<;;;<<<===???@@@EEEEEEDDDCCCAAA@@@??????999:::<<<>>>@@@AAACCCDDD???>>>===<<<999777555444//////---,,,++++++******&&&&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''&&&'''''''''&&&%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$###""""""$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###%%%&&&%%%###"""###&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''')))(((&&&$$$$$$$$$&&&'''$$$$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%&&&(((+++---///)))(((''''''''''''((()))''''''''''''&&&&&&&&&%%%&&&&&&'''((()))***+++++++++,,,---...///000111222444555777999;;;===???@@@BBB@@@>>>>>>@@@AAA@@@>>>BBBCCCCCCCCCBBBAAA@@@@@@999999::::::;;;<<<<<<<<<>>>>>>??????@@@@@@AAAAAA???@@@@@@AAABBBCCCDDDDDD???>>>===;;;999777666555333222111000...,,,++++++******)))(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%&&&&&&%%%######%%%'''&&&%%%%%%$$$$$$%%%%%%&&&########################"""######$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%&&&888;;;)))&&&)))"""%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&(((((('''&&&%%%%%%&&&'''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''''''''&&&&&&'''''''''---,,,***)))((((((((((((''')))++++++++++++---.........//////000000000111///...---,,,---...000111333333222111000//////...,,,------...///000000111222222111000...,,,***)))+++***)))((('''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''''''''''''''&&&&&&''''''&&&%%%%%%$$$$$$%%%&&&&&&'''&&&&&&&&&&&&&&&%%%$$$$$$###""""""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$###""""""$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%$$$"""!!!###%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''')))'''&&&$$$$$$%%%&&&'''$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%&&&))),,,///000)))(((''''''''''''((()))&&&&&&&&&%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&''''''((())))))---...///111222444555666:::888777777999::::::999===>>>???@@@@@@@@@@@@@@@;;;;;;;;;;;;;;;;;;<<<<<<==================<<<<<<=========>>>>>>>>>>>>???666555333111///---+++***))))))(((((((((((((((((()))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%&&&&&&%%%$$$###%%%'''%%%%%%$$$$$$$$$$$$%%%%%%#################################$$$$$$%%%%%%&&&%%%$$$$$$######$$$$$$%%%###((((((###"""&&&'''"""%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$###"""###&&&((($$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$,,,+++***(((&&&%%%%%%%%%$$$&&&''''''&&&&&&'''((((((((('''&&&&&&%%%$$$$$$''''''&&&%%%&&&'''((()))((((((((('''''''''&&&&&&''''''''''''&&&&&&&&&%%%+++++++++***)))((('''&&&((('''&&&%%%%%%%%%%%%%%%((((((''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&%%%$$$$$$######"""""""""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%$$$#########$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%$$$%%%&&&'''$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''((()))***+++------...111000000000111222333333333444555777888999::::::999999888888888777777777444444444444444444444444333333333222222222222111------+++***((('''&&&%%%&&&&&&&&&&&&''''''''''''((('''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&%%%$$$$$$%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%#################################$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''$$$###%%%&&&$$$###$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""###'''***$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&&&&%%%$$$###&&&&&&&&&&&&&&&'''''''''&&&'''((('''&&&%%%&&&'''%%%%%%&&&&&&'''''''''((((((((('''''''''((()))***(((((((((((((((((((((((()))((((((''''''&&&&&&&&&)))************)))(((((((((''''''&&&&&&&&&''''''(((((('''&&&&&&%%%$$$$$$''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$#########"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$#########$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$############%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''%%%%%%&&&''''''((())))))******++++++++++++---...***+++---///000111222222222222222111000000//////---------...//////000000,,,,,,+++******)))((((((((((((''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&%%%'''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&%%%$$$%%%&&&%%%$$$$$$######$$$$$$%%%###########################$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''######((('''""""""(((%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""###'''***$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%&&&(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$"""###$$$%%%&&&'''(((((('''((()))(((&&&%%%&&&'''%%%&&&'''((()))***++++++&&&&&&&&&&&&&&&''''''(((&&&&&&&&&'''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''(((((('''''''''''''''&&&&&&&&&'''(((((((((((('''&&&%%%$$$$$$###''''''''''''''''''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''&&&&&&&&&$$$$$$%%%%%%&&&%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$###$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&''''''((())))))(((''''''&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&'''((('''&&&&&&((()))'''((()))+++,,,,,,,,,,,,++++++******))))))((((((&&&''''''((()))******+++++++++***))))))(((''''''&&&&&&&&&&&&''''''''''''''''''&&&&&&%%%$$$$$$$$$'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$###%%%'''&&&%%%$$$$$$%%%$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###""" ###'''&&&!!!###+++%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$###"""###&&&((($$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%&&&&&&%%%%%%$$$%%%&&&'''&&&%%%$$$%%%&&&&&&&&&&&&&&&''''''''''''%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&''''''''''''(((((()))(((((('''$$$$$$$$$$$$%%%%%%&&&'''''''''&&&&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&###$$$$$$%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###%%%&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%######$$$%%%&&&'''''''''''''''((())))))(((''''''$$$$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''&&&######%%%'''''''''(((((())))))((((((&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%***))))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$###%%%''''''%%%$$$$$$%%%$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%%%%%%%$$$###"""!!!"""$$$%%%$$$%%%'''%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&&&&%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&&&&&&&&&&%%%###"""###$$$%%%%%%$$$###$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&''''''''''''((())))))*********))))))(((############$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$######"""$$$$$$%%%&&&&&&&&&&&&%%%######$$$%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$$$$############$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""" !!!$$$%%%$$$###########################%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&'''''''''&&&&&&&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%$$$$$$$$$%%%&&&''''''&&&%%%$$$#########$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&'''''''''$$$$$$%%%%%%&&&'''''''''''''''&&&&&&%%%%%%%%%%%%%%%&&&'''%%%"""!!!###&&&&&&&&&''''''&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$(((((('''&&&&&&%%%$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$(((''''''&&&%%%%%%$$$$$$&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$###%%%''''''&&&$$$$$$%%%$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$###'''%%%######%%%'''%%%"""%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&&&&$$$######$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%&&&'''&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%%%%$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%'''&&&%%%$$$$$$%%%&&&'''$$$%%%&&&&&&'''&&&%%%$$$"""$$$%%%%%%$$$$$$%%%'''%%%%%%&&&&&&'''(((((()))###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$$$$#########&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''''''''&&&%%%%%%$$$$$$$$$$$$%%%&&&((((((%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$###""""""$$$$$$%%%&&&&&&&&&%%%%%%"""###$$$%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%$$$##################$$$$$$##############################$$$$$$$$$%%%%%%%%%######################################################$$$$$$$$$$$$############$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ """$$$###!!!""""""""""""""""""""""""%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&'''''''''&&&&&&&&&&&&%%%%%%$$$'''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%''')))(((&&&$$$''''''''''''&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&'''''''''((('''%%%$$$###$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''''''''''''''((()))***&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&''''''(((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&&&&$$$$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$%%%&&&'''$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%%%%%%%$$$$$$$$$##################&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$###%%%%%%%%%$$$$$$$$$######$$$###$$$$$$%%%&&&'''(((%%%%%%$$$######$$$$$$%%%"""###$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%&&&&&&### ###$$$$$$%%%%%%$$$$$$######(((((($$$"""###%%%$$$%%%'''(((((('''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$'''&&&&&&%%%%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$(((&&&######$$$%%%&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$######""""""######$$$%%%$$$###""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%$$$#########$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''(((&&&%%%%%%'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%&&&((())))))'''%%%''''''''''''&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&%%%$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&'''''''''(((((('''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%%%%%%%$$$$$$$$$##################&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&%%%%%%$$$############$$$$$$%%%%%%%%%$$$$$$###$$$$$$%%%&&&'''###""" !!!######"""!!!$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%###!!! %%%&&&&&&''''''&&&&&&%%%###'''***)))%%%!!!!!!###$$$%%%&&&((((((&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&$$$######$$$%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$############$$$$$$%%%$$$###""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%&&&%%%%%%%%%%%%&&&''''''(((&&&%%%%%%'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&(((******(((&&&''''''''''''&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&''''''''''''''''''&&&&&&''''''''''''''''''(((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''$$$$$$%%%%%%%%%%%%$$$$$$######$$$%%%%%%%%%%%%$$$######$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%$$$$$$###!!!"""###$$$%%%&&&&&&'''$$$$$$#########$$$$$$%%%%%%###"""&&&,,,...+++''''''''''''&&&&&&%%%$$$$$$"""######$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$$$$######%%%&&&&&&''''''&&&&&&%%%%%%(((***)))%%%"""###$$$$$$%%%&&&''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$######$$$%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###""""""###$$$%%%###"""$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$########################&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''(((&&&%%%%%%'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%&&&%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%'''((()))'''&&&&&&'''''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&''''''&&&%%%%%%$$$%%%%%%$$$$$$%%%%%%&&&'''(((((((((''''''&&&&&&''''''(((&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$######$$$%%%%%%%%%%%%$$$######$$$$$$$$$$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%$$$$$$###""""""###$$$%%%%%%&&&&&&$$$$$$######"""#########&&&######***333666333...***)))((('''&&&%%%$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''%%%$$$$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$###!!!$$$&&&&&&%%%$$$%%%'''$$$%%%&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&'''''''''(((''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%%%%%%%$$$$$$""""""###$$$&&&&&&$$$"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$#################################$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%&&&%%%%%%%%%%%%&&&''''''(((&&&%%%%%%'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&'''&&&%%%&&&&&&&&&'''&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&(((((('''&&&%%%%%%%%%&&&$$$$$$%%%%%%&&&'''((((((''''''&&&&&&&&&&&&''''''&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&###$$$$$$%%%%%%$$$$$$#########$$$%%%%%%%%%%%%$$$######$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######"""#########$$$!!! &&&...111---'''+++***)))'''%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%######$$$%%%&&&###$$$$$$%%%%%%$$$$$$### """###$$$$$$$$$%%%&&&$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&'''''''''(((''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$############$$$$$$%%%%%%$$$$$$############%%%''''''%%%###$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%###########################$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&'''''''''''''''&&&%%%%%%%%%%%%&&&''''''(((&&&%%%%%%'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%#########%%%&&&%%%$$$%%%&&&&&&'''&&&&&&%%%%%%######$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%'''&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&&&&&&&&&&&&&'''$$$%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%&&&&&&&&&%%%&&&''''''((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%######$$$$$$$$$$$$############$$$%%%%%%%%%%%%$$$######$$$$$$%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&"""###$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$#########$$$$$$%%%&&&###"""$$$((()))%%%!!!+++***(((&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###########################$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&%%%&&&&&&''''''&&&&&&%%%$$$$$$######""""""""""""%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%''''''((((((''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$##################$$$$$$$$$$$$######$$$######%%%'''(((&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$%%%%%%&&&###########################$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&'''(((((((((((((((&&&%%%%%%%%%%%%&&&''''''(((&&&%%%%%%'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&$$$###$$$%%%&&&&&&%%%%%%%%%&&&&&&'''&&&&&&%%%"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&'''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%######$$$$$$$$$$$$############$$$%%%%%%%%%%%%$$$######$$$$$$%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$%%%&&&''''''&&&$$$%%%&&&&&&%%%###***)))'''%%%$$$$$$%%%&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%$$$###"""#########"""%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%''''''((((((''''''&&&%%%################################################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$##################$$$$$$$$$$$$######$$$###"""###%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$###########################$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$############$$$$$$$$$$$$%%%&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$######$$$$$$%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''((((((''''''&&&%%%%%%%%%%%%&&&''''''(((&&&%%%%%%'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%'''%%%$$$$$$&&&''''''&&&%%%%%%&&&&&&'''&&&&&&&&&""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%&&&&&&''''''''''''''''''&&&&&&%%%%%%%%%"""###%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&############$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%&&&'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&'''&&&%%%%%%######$$$$$$$$$$$$############$$$%%%%%%%%%%%%$$$######$$$%%%%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&!!!"""###$$$$$$$$$$$$$$$""""""###$$$%%%&&&&&&'''$$$$$$$$$$$$%%%&&&'''(((!!!!!!""""""$$$%%%'''((()))(((&&&$$$###$$$%%%&&&######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$%%%%%%$$$$$$######"""!!!"""%%%'''''''''%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&###$$$$$$%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%''''''((((((''''''&&&%%%################################################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$############"""######$$$$$$$$$$$$######$$$""" !!!###%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###"""""""""""""""""""""""""""""""""###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$##################$$$$$$$$$&&&&&&&&&&&&$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$#########$$$%%%%%%&&&#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''(((&&&%%%%%%'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%'''&&&%%%%%%$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&%%%%%%&&&''''''&&&$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''(((((((((''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$######%%%%%%$$$###$$$$$$###"""###$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%########################"""###$$$$$$%%%%%%$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$"""############$$$$$$$$$&&&%%%$$$###""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!&&&&&&%%%$$$##################$$$$$$$$$%%%%%%%%%&&&$$$###!!!!!!"""$$$%%%"""$$$&&&'''&&&%%%%%%&&&$$$$$$$$$$$$######""""""&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$############$$$$$$########################$$$$$$&&&&&&&&&&&&$$$$$$########################'''###"""%%%&&&$$$%%%'''(((### !!!%%%&&&###%%%$$$###""""""###$$$%%%######""""""######$$$%%%########################%%%$$$###""""""###$$$%%%"""############$$$$$$$$$######$$$$$$$$$$$$###############$$$%%%%%%&&&&&&$$$###"""###%%%&&&%%%$$$&&&&&&%%%$$$###"""!!! %%%$$$"""!!!"""$$$$$$$$$%%%%%%%%%$$$$$$###############$$$%%%%%%%%%%%%$$$###$$$%%%%%%%%%%%%$$$###$$$###"""""""""###%%%&&&%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''$$$''')))(((%%%"""'''&&&%%%%%%$$$$$$$$$%%%#########$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&%%%&&&&&&''''''&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&%%%$$$$$$&&&&&&%%%$$$&&&%%%%%%$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$############$$$$$$$$$$$$&&&%%%$$$###""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""%%%%%%$$$$$$###$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$###""""""###$$$%%%"""$$$&&&'''&&&%%%%%%&&&$$$$$$$$$$$$#########"""&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%%%%%%%$$$###########################(((###!!!$$$&&&$$$!!!!!!"""""""""###$$$$$$###"""$$$$$$###""""""###$$$$$$%%%%%%$$$$$$%%%%%%&&&&&&########################$$$$$$###""""""###$$$$$$"""############$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$######&&&$$$$$$%%%&&&''''''&&&$$$$$$$$$###############%%%$$$"""""""""###$$$$$$%%%%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%$$$###$$$%%%%%%%%%%%%$$$##################$$$$$$%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''$$$'''((((((%%%###&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&'''%%%$$$%%%&&&'''&&&%%%''''''&&&&&&&&&'''((()))''''''''''''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$###############$$$$$$$$$%%%&&&%%%$$$######"""######$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$############$$$$$$$$$$$$###$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%%%%$$$###""""""###$$$%%%"""$$$&&&&&&%%%%%%%%%&&&$$$$$$$$$$$$############%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$############$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%"""###$$$%%%%%%$$$###"""########################'''""" $$$&&&### ###%%%%%%###""""""$$$$$$$$$###""""""###$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&########################$$$$$$###""""""###$$$$$$"""############$$$$$$$$$######$$$$$$$$$$$$######%%%%%%$$$$$$###""""""!!!%%%$$$###$$$&&&&&&&&&$$$""""""######$$$$$$$$$%%%$$$$$$###""""""###$$$$$$%%%%%%%%%$$$$$$$$$$$$#########$$$%%%%%%%%%%%%$$$###$$$$$$%%%%%%$$$$$$###"""######$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%&&&''''''%%%###&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%&&&''''''&&&%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$&&&%%%$$$$$$&&&&&&%%%$$$&&&&&&&&&&&&''''''((((((''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%&&&%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$#########$$$%%%############$$$%%%&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$#########$$$%%%%%%###$$$&&&&&&%%%$$$%%%'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$############$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&###$$$%%%&&&&&&%%%$$$###########################$$$""""""$$$$$$"""&&&,,,'''&&&%%%$$$""""""###$$$$$$##################$$$""""""######$$$$$$$$$$$$########################$$$##################$$$""""""#########$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$######"""""""""###"""!!!!!!#########!!!"""############$$$$$$$$$###$$$$$$######"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&%%%$$$%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$&&&((('''&&&$$$%%%'''$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$###$$$###"""###$$$%%%$$$"""$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$%%%%%%############$$$%%%&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$###$$$$$$%%%%%%&&&###%%%&&&%%%$$$$$$&&&'''$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$############$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$########################!!!"""%%%%%%""""""...;;;111+++$$$!!!"""%%%%%%############$$$$$$#########!!!"""###$$$$$$$$$#######################################$$$$$$#########""""""#########$$$$$$$$$######$$$$$$$$$$$$######""""""######$$$$$$$$$$$$###"""!!!"""######"""!!!$$$$$$$$$############""""""###%%%$$$###"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###&&&)))(((%%%$$$%%%'''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$"""!!!"""###$$$###""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((((((((((($$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$%%%&&&&&&&&&$$$%%%%%%%%%$$$$$$&&&((($$$$$$$$$$$$%%%%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$############$$$$$$######$$$$$$%%%%%%&&&&&&%%%&&&'''(((((('''&&&%%%######################## ###&&&&&&"""###///>>>444+++""" ###&&&%%%""""""###$$$$$$$$$$$$###"""###$$$%%%&&&'''&&&%%%%%%########################"""###$$$$$$$$$$$$###""""""############$$$$$$$$$######$$$$$$$$$$$$######"""######$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%&&&$$$###%%%$$$$$$$$$######"""""" ###&&&%%%###!!!"""%%%###$$$$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&'''''''''%%%$$$$$$%%%&&&%%%$$$$$$$$$%%%%%%&&&'''#########$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###&&&)))(((%%%###%%%((($$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$###""""""$$$$$$###"""""""""$$$%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''((((((''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&'''''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!###%%%''''''&&&%%%###%%%%%%$$$$$$###$$$$$$$$$######$$$$$$$$$%%%%%%%%%"""###$$$%%%&&&&&&&&&&&&$$$%%%%%%$$$###$$$&&&((($$$$$$$$$%%%%%%%%%&&&&&&$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$############$$$$$$""""""######$$$%%%%%%&&&%%%%%%&&&''''''&&&%%%%%%########################$$$"""###%%%$$$###)))111+++'''###"""###$$$$$$###"""###$$$$$$$$$$$$###""""""$$$%%%''''''&&&%%%$$$########################"""###$$$$$$$$$$$$###""""""############$$$$$$$$$######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%&&&&&&(((&&&%%%%%%&&&&&&%%%##################$$$$$$$$$ ###'''&&&###!!!"""%%%######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%%%%$$$######$$$%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''(((%%%######%%%&&&$$$$$$$$$$$$%%%%%%&&&'''""""""###$$$%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%"""&&&***(((%%%###%%%((($$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$#########%%%$$$######%%%%%%$$$###"""###$$$%%%&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################"""###$$$$$$%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&&&&''''''((((((((($$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$ ###&&&((()))'''%%%###&&&&&&%%%$$$##################$$$$$$$$$%%%%%%%%%"""###$$$%%%&&&&&&&&&&&&$$$%%%%%%$$$###$$$&&&((($$$$$$$$$%%%%%%&&&&&&&&&$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$############$$$$$$!!!!!!"""###$$$$$$%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$########################'''"""!!!$$$%%%###!!!"""!!!###%%%%%%###"""###$$$"""###$$$%%%%%%$$$###""" """###%%%%%%$$$###"""########################"""###$$$%%%%%%$$$###""""""############$$$$$$$$$######$$$$$$$$$$$$######(((''''''&&&&&&%%%%%%$$$&&&%%%$$$$$$%%%%%%###""" !!!"""###$$$%%%&&&&&&###''''''### """%%%#########$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$&&&%%%$$$######$$$%%%&&&&&&%%%$$$###$$$%%%&&&'''%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''(((%%%""""""%%%'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''&&&$$$######$$$$$$$$$#########$$$%%%&&&(((%%%$$$%%%'''(((&&&$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###%%%''')))&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%$$$######$$$%%%%%%&&&&&&%%%$$$############$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$#########$$$&&&'''(((&&&$$$""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########&&&%%%###""""""###%%%&&&%%%%%%%%%$$$$$$#########%%%&&&&&&''''''&&&&&&%%%$$$'''((('''%%%$$$%%%(((%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###########################$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$%%%%%%%%%#########%%%'''(((&&&%%%"""############$$$$$$$$$"""""""""###$$$$$$$$$%%%"""!!! """&&&'''%%%###########################################################################"""############$$$$$$$$$$$$$$$###############$$$%%%&&&&&&$$$###"""###%%%###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###############$$$%%%%%%%%%%%%$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$###"""$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''&&&$$$######$$$$$$$$$$$$$$$%%%%%%%%%&&&'''&&&$$$%%%'''(((&&&$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$###$$$&&&((()))'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%$$$######$$$%%%%%%$$$$$$$$$###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%&&&'''%%%$$$###"""###%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######&&&%%%###""""""###%%%&&&%%%%%%%%%$$$$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&((('''$$$###%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$&&&''''''$$$""""""############$$$$$$$$$###############$$$$$$$$$"""!!!!!!"""%%%&&&%%%###########################################################################"""############$$$$$$$$$$$$$$$############$$$$$$%%%%%%&&&$$$###"""###%%%###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%$$$######$$$$$$%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$######%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%'''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''&&&$$$######$$$$$$$$$%%%&&&&&&&&&&&&&&&'''&&&%%%%%%''''''&&&%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%&&&''')))***((('''%%%$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$######$$$$$$%%%############$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########$$$$$$#########$$$%%%&&&%%%%%%$$$######$$$&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###&&&%%%$$$######$$$%%%&&&%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$$$$######%%%&&&'''&&&$$$###$$$%%%''''''&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&''''''%%%%%%%%%$$$$$$$$$$$$$$$########################&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%'''&&&&&&&&&'''&&&###!!!"""############$$$$$$$$$$$$$$$$$$###############"""!!!!!!###%%%&&&%%%###""""""""""""""""""""""""################################################"""############$$$$$$$$$$$$$$$############$$$$$$$$$%%%%%%$$$###"""$$$%%%###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$#########$$$%%%%%%%%%%%%$$$######$$$%%%&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&'''&&&$$$###$$$%%%$$$%%%&&&'''''''''&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&'''((()))***((('''%%%$$$$$$$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$###""""""$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######%%%&&&&&&%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%%%%################################################%%%%%%$$$$$$%%%%%%&&&'''$$$$$$##################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""######$$$$$$&&&&&&%%%&&&'''&&&###!!!""""""#########$$$$$$$$$%%%$$$$$$$$$###""""""""""""""""""###$$$%%%$$$###""""""""""""""""""""""""################################################""""""#########$$$$$$$$$$$$$$$#########$$$%%%%%%$$$%%%%%%$$$######$$$&&&###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$"""######$$$%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&'''&&&$$$###$$$%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&%%%&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''(((((())))))((('''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%################################################%%%$$$$$$$$$$$$%%%&&&&&&########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""""""""######$$$%%%%%%$$$$$$&&&''''''%%%###""""""#########$$$$$$$$$%%%$$$$$$$$$###""""""""""""###$$$$$$$$$######$$$""""""""""""""""""""""""################################################""""""#########$$$$$$$$$$$$$$$######$$$%%%%%%&&&###$$$%%%$$$######$$$&&&###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$"""""""""###$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$#########"""######$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%$$$%%%&&&&&&'''%%%&&&''''''%%%%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((((((((''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%$$$$$$###'''&&&%%%$$$############$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########$$$$$$%%%%%%%%%$$$######%%%%%%%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%$$$$$$%%%'''(((((('''######$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$%%%&&&&&&###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$###########################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$%%%&&&$$$$$$$$$&&&''''''%%%###"""############$$$$$$$$$$$$$$$$$$###############!!!###%%%%%%###"""###$$$########################################################################"""############$$$$$$$$$$$$$$$###$$$$$$%%%&&&'''###$$$%%%$$$######%%%&&&###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''(((%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&''''''((($$$$$$%%%%%%%%%%%%&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&&&&%%%###""""""$$$&&&((($$$&&&((('''%%%$$$&&&'''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''((((((''''''&&&&&&'''((()))((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%###$$$%%%%%%%%%%%%$$$###%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$###"""&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$$$$$$$$$$######%%%$$$###%%%)))+++***)))$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###########################$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%&&&'''&&&%%%%%%&&&'''&&&###!!!"""############$$$$$$$$$###############$$$$$$$$$!!!###%%%%%%###""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$################################################"""############$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''###$$$$$$$$$######%%%'''###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%%%%$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%######$$$%%%%%%%%%%%%%%%&&&''''''''''''''''''&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&(((******)))(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&'''(((((($$$$$$%%%%%%%%%&&&&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&'''%%%""" !!!###&&&((($$$&&&((('''%%%$$$%%%(((%%%&&&&&&&&&'''(((((((((''''''''''''''''''''''''&&&'''''''''''''''&&&&&&%%%&&&(((***)))'''%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%###$$$%%%&&&&&&%%%$$$###############$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$%%%%%%&&&%%%$$$###"""''''''''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$############$$$$$$%%%%%%%%%""""""############""""""%%%######&&&***---,,,+++%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&######$$$$$$%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''(((((('''&&&&&&&&&%%%""""""############$$$$$$$$$""""""######$$$$$$$$$%%%!!!$$$&&&%%%###!!!"""$$$%%%%%%%%%%%%%%%%%%%%%%%%################################################"""############$$$$$$$$$$$$$$$$$$$$$%%%&&&'''(((###$$$$$$$$$######%%%'''###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$'''&&&&&&%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%"""###$$$$$$%%%%%%%%%%%%(((((())))))))))))((((((%%%&&&&&&''''''&&&&&&%%%$$$&&&***,,,,,,+++(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''((((((''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%$$$$$$$$$%%%%%%''''''(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&---+++)))&&&%%%%%%&&&&&&&&&&&&&&&''''''''''''((((((((((((((('''&&&%%%$$$&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$#########$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$(((%%%###$$$&&&'''%%%"""$$$$$$$$$#########""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''%%%######$$$$$$$$$###"""!!!!!!""""""###$$$%%%%%%%%%%%%$$$###"""""""""###%%%'''***+++%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&%%%$$$###"""###$$$$$$%%%%%%$$$$$$###%%%$$$###""""""###$$$%%%""""""###$$$$$$$$$$$$###$$$$$$############$$$$$$'''&&&$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$$$$&&&%%%%%%$$$#########$$$%%%$$$$$$######$$$$$$%%%$$$$$$##################&&&&&&%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###(((((((((''''''&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''''''''(((((('''%%%###"""''''''&&&&&&&&&%%%%%%%%%!!!"""$$$&&&)))+++%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&,,,***(((&&&%%%%%%&&&'''&&&&&&&&&''''''''''''(((''''''((((((''''''&&&&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$#########""""""$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$'''%%%$$$$$$&&&&&&$$$"""%%%%%%%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""""""""$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&'''&&&%%%######$$$$$$######"""""""""""""""###$$$$$$%%%%%%$$$$$$###$$$$$$######$$$%%%'''(((%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%%%%%%%$$$###"""#########$$$$$$#########$$$$$$############$$$$$$""""""###$$$$$$$$$$$$###$$$$$$############$$$$$$&&&%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$%%%&&&%%%$$$$$$######$$$$$$%%%$$$$$$######$$$$$$%%%######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$$$$#########$$$%%%%%%&&&&&&%%%%%%$$$''''''&&&&&&%%%%%%%%%%%%'''&&&&&&&&&&&&&&&&&&%%%''''''''''''&&&%%%%%%$$$''''''&&&&&&&&&%%%%%%%%%''''''((()))***+++%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$$$$%%%&&&''''''&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&***)))'''&&&&&&&&&'''(((&&&&&&&&&''''''''''''(((&&&&&&'''(((((((((''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###############""""""""""""$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%$$$$$$$$$$$$'''%%%$$$$$$%%%%%%$$$###&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&$$$###$$$$$$"""""""""#####################$$$%%%%%%$$$######&&&&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%%%%$$$######""""""############""""""######$$$$$$$$$$$$######""""""###$$$$$$$$$$$$###$$$$$$############$$$$$$&&&%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$###$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$######$$$$$$%%%######$$$$$$%%%%%%&&&&&&"""#########$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$############""""""$$$%%%%%%&&&&&&%%%%%%$$$'''&&&&&&&&&&&&%%%%%%%%%((((((''''''&&&%%%%%%%%%''''''&&&&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%'''((()))&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&&&&'''((((((&&&&&&&&&''''''''''''(((%%%%%%'''(((((()))))))))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$##################$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$&&&%%%$$$$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&&&&$$$###$$$$$$!!!""""""###$$$$$$$$$$$$######$$$$$$$$$$$$######%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######"""###$$$%%%%%%$$$###"""""""""###$$$$$$$$$$$$###$$$$$$############$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$%%%######$$$%%%&&&&&&''''''!!!!!!"""###$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%''''''''''''&&&&&&&&&&&&((('''&&&%%%%%%&&&((()))''''''&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$######%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%&&&'''((()))%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((&&&&&&&&&''''''''''''(((%%%%%%'''((())))))******)))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&'''&&&$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$#####################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%%%%$$$###$$$%%%!!!"""###$$$%%%%%%$$$$$$########################"""######$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$"""###$$$%%%%%%$$$###"""""""""###$$$$$$$$$$$$###$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%&&&%%%$$$$$$###$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%######$$$%%%&&&&&&''''''!!!!!!"""###$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###&&&&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&&&&%%%%%%%%%&&&&&&'''((())))))((('''&&&%%%&&&'''((()))''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%%%%&&&'''(((((($$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&''''''((((((((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&''''''''''''(((%%%&&&'''((()))*********))))))'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$######$$$$$$%%%%%%$$$$$$###%%%%%%%%%&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$'''((('''###"""###&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%''''''&&&&&&%%%%%%$$$$$$###%%%%%%%%%###"""###$$$"""###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!###%%%%%%$$$###$$$%%%"""###$$$%%%%%%%%%$$$###$$$###""""""""""""###$$$ !!!"""$$$%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$######$$$$$$%%%&&&%%%%%%&&&&&&&&&&&&%%%%%%######$$$$$$$$$$$$######""""""###$$$$$$$$$$$$###$$$$$$############$$$$$$######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%&&&&&&$$$$$$######$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%######$$$$$$%%%%%%&&&&&&"""#########$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&'''''''''&&&%%%$$$$$$%%%'''((()))***+++(((((('''''''''''''''(((''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&''''''(((###$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&'''((((((((()))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&&&&''''''''''''(((&&&'''((()))))))))))))))***)))((('''%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%&&&&&&%%%###"""###$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$''')))'''###!!!###&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%(((''''''&&&%%%%%%$$$$$$###$$$&&&%%%"""!!!"""$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""""""""#########$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$%%%$$$###$$$%%%###$$$%%%&&&&&&$$$###"""$$$###"""!!!!!!"""###$$$ !!!"""$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$#########$$$%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$############$$$$$$""""""###$$$$$$$$$$$$###$$$$$$############$$$$$$"""###$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%&&&'''$$$$$$######$$$$$$%%%&&&%%%$$$$$$######$$$$$$%%%######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$&&&'''((('''&&&%%%%%%&&&&&&'''((())))))***(((((()))(((((('''&&&%%%''''''&&&&&&&&&%%%%%%%%%##################%%%&&&&&&''''''&&&&&&%%%(((''''''&&&&&&&&&''''''###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&'''((())))))))))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%$$$&&&&&&&&&'''''''''(((((('''(((((()))))))))))))))******((('''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%&&&&&&%%%###"""$$$$$$$$$%%%%%%$$$$$$$$$#########$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$'''***'''### ###&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%(((((('''&&&%%%%%%$$$$$$"""$$$&&&%%%"""!!!"""$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$ """$$$$$$######$$$%%%###$$$&&&&&&&&&$$$"""!!!$$$###"""!!!!!!"""###$$$ !!!###$$$%%%%%%$$$###%%%%%%%%%&&&&&&&&&''''''$$$$$$#########$$$&&&'''###$$$$$$%%%%%%$$$$$$###%%%$$$###""""""###$$$%%%""""""###$$$$$$$$$$$$###$$$$$$############$$$$$$"""###$$$%%%&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%&&&'''$$$#########$$$%%%%%%&&&%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$##################&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&###$$$&&&(((((('''&&&%%%'''''''''(((((((((((((((((()))******)))'''%%%$$$''''''&&&&&&&&&%%%%%%%%%((((((''''''&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%***)))'''&&&%%%%%%&&&&&&)))))))))(((''''''))),,,''''''''''''''''''''''''%%%%%%%%%%%%&&&'''(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((((()))***+++***)))'''%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%'''''''''&&&&&&%%%%%%%%%%%%&&&((('''&&&%%%%%%&&&&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%'''&&&%%%%%%&&&((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########''''''%%%$$$###"""""""""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########&&&%%%$$$######%%%'''(((***)))((('''&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$%%%&&&''''''&&&&&&&&&%%%%%%%%%######################################################$$$$$$$$$%%%%%%%%%########################$$$$$$##################$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$###((('''&&&%%%%%%&&&'''(((''''''&&&%%%%%%$$$############$$$$$$$$$$$$######''''''&&&&&&&&&&&&''''''((('''%%%######$$$%%%&&&''''''(((((('''&&&%%%%%%&&&&&&&&&''''''''''''((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&''')))(((&&&$$$$$$$$$&&&'''%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&'''((()))(((&&&&&&''')))''''''''''''''''''''''''%%%%%%%%%%%%&&&'''((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((+++,,,,,,+++***'''$$$"""&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$###%%%''''''%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&%%%$$$$$$%%%'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######&&&&&&%%%$$$############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&%%%$$$######%%%&&&((()))((('''&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&"""######$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$######################################################$$$$$$$$$%%%%%%%%%################################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###%%%(((***%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$'''&&&%%%%%%%%%%%%&&&'''''''''&&&%%%%%%$$$############$$$$$$$$$$$$######&&&&&&%%%%%%%%%%%%&&&&&&(((&&&%%%######$$$%%%&&&''''''(((((('''&&&&&&%%%&&&&&&&&&''''''''''''((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&***)))&&&$$$$$$%%%'''(((%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''((()))(((&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((+++,,,,,,,,,***'''%%%###&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$######!!!###%%%&&&%%%$$$%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%$$$######$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###&&&%%%$$$###$$$%%%&&&'''''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%"""""""""######"""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%$$$$$$$$$############################################################$$$$$$$$$%%%%%%%%%################################################$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$!!!!!!"""%%%))),,,%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&%%%%%%$$$$$$#########$$$$$$$$$$$$######%%%%%%$$$$$$$$$$$$%%%%%%'''&&&%%%$$$###$$$%%%&&&'''''''''(((''''''&&&%%%&&&&&&&&&''''''''''''((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((((((((()))***,,,+++(((%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''(((((('''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''')))***++++++***((('''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$ """$$$%%%$$$$$$%%%'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%%%%$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%&&&'''&&&%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%""""""############""""""###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$%%%&&&$$$$$$$$$############"""######################################################$$$$$$$$$%%%%%%%%%#######################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###%%%((()))$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$$$$$$$%%%%%%'''&&&%%%$$$$$$$$$%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%% ###'''((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''((()))******---//////...***'''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''(((((('''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''')))***+++,,,***)))(((&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&&&& """$$$%%%$$$$$$%%%'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%###$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$%%%&&&$$$$$$#########"""""""""######################################################$$$$$$$$$%%%%%%%%%########################""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&###$$$$$$%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$&&&&&&'''''''''''''''&&&&&&&&&&&&''''''''''''(((&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&###&&&((('''%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%&&&'''***,,,---222333222000+++(((&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((++++++,,,,,,+++)))'''%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&''''''!!!###%%%&&&%%%$$$%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&''''''&&&%%%'''((($$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$#########$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$#########$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&''''''(((''''''&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$%%%&&&$$$$$$$$$#########""""""######################################################$$$$$$$$$%%%%%%%%%########################"""""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%'''((('''%%%###!!!###$$$$$$%%%%%%&&&&&&'''$$$$$$%%%&&&&&&&&&%%%%%%&&&''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&''''''((('''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''!!!"""###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$$$$&&&***...000666555333000+++(((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((++++++,,,---,,,***'''&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&###%%%''''''%%%%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###%%%&&&&&&%%%$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$######$$$$$$$$$$$$######"""######$$$%%%%%%&&&&&&(((''''''''''''((())))))''''''&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%$$$$$$$$$###############################################################$$$$$$$$$%%%%%%%%%########################!!!""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$######$$$%%%%%%&&&''''''%%%%%%&&&&&&&&&%%%$$$$$$%%%&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%&&&&&&'''((((((''''''&&&&&&&&&''''''''''''(((&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&((('''%%%######$$$%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&'''''''''''''''''''''''''''&&&$$$###%%%***///222777666444///***'''&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''(((((('''(((***,,,,,,,,,******&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$#########$$$$$$%%%%%%%%%%%%&&&((('''&&&%%%%%%&&&$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&''''''&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%%%%$$$###%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""$$$%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$""""""############""""""""""""###$$$%%%%%%&&&&&&((((((((((((((()))******''''''&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%$$$$$$$$$$$$#########################################################$$$$$$$$$%%%%%%%%%########################!!!""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""$$$%%%%%%$$$"""!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%'''(((######$$$%%%%%%&&&''''''&&&&&&&&&&&&%%%%%%$$$###$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$############$$$$$$%%%%%%&&&&&&&&&%%%$$$###%%%%%%&&&'''((((((((('''&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%&&&%%%$$$$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&'''&&&&&&%%%''',,,333999:::555...(((&&&'''''''''''''''&&&%%%%%%$$$######$$$#########$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''((('''&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''))))))))))))(((((((((((()))((('''&&&%%%$$$$$$$$$'''&&&%%%%%%$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%&&&&&&%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$%%%%%%$$$$$$###%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%##############################$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%((('''&&&&&&$$$$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$############"""$$$$$$$$$$$$$$$$$$$$$$$$$$$))))))'''%%%(((+++***,,,...---***(((***---&&&'''''''''&&&%%%%%%$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$#########$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$##################$$$###"""""""""###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########)))"""&&&***""" %%%%%%%%%$$$######%%%%%%$$$###!!!)))111000)))###%%%)))$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&######$$$%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((((((&&&%%%$$$###$$$%%%&&&'''&&&&&&&&&%%%$$$###'''&&&%%%$$$$$$%%%&&&'''((('''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%$$$&&&***000666999777333,,,(((&&&'''''''''''''''&&&&&&%%%$$$$$$###$$$$$$######$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%&&&%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&'''((('''&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''))))))))))))(((((((((''')))((('''&&&%%%$$$$$$$$$&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%'''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$(((++++++'''&&&'''***)))***+++***((((((((()))&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$##################%%%$$$#########$$$&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######(((###&&&'''"""$$$(((###%%%$$$###$$$%%%%%%%%%######(((------((($$$%%%(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((((((%%%%%%$$$$$$$$$%%%&&&'''&&&&&&&&&%%%%%%###''''''&&&&&&&&&&&&''''''***)))((('''&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&%%%######'''...555777888333///***&&&&&&'''''''''''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&'''''''''(((((('''&&&&&&%%%%%%&&&&&&'''((('''&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''')))))))))(((((((((''''''((('''&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$########################&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$)))+++---,,,(((&&&&&&(((***)))((()))))))))(((&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$"""##################"""%%%%%%$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%###&&&%%%$$$...222&&&&&&$$$###$$$%%%&&&%%%###%%%''')))(((&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((((((%%%%%%%%%$$$%%%&&&&&&'''%%%&&&&&&%%%%%%$$$((((((''''''''''''(((((()))(((((('''''''''((((((&&&&&&&&&&&&''''''''''''&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&&&&$$$$$$)))111666555333...+++'''%%%&&&'''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%&&&&&&'''(((&&&&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''))))))((((((((('''''''''''''''&&&%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%&&&'''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%""""""###$$$&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$)))+++,,,***(((&&&&&&''',,,***(((***,,,,,,)))&&&%%%&&&&&&'''&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""############""""""%%%%%%%%%$$$$$$############$$$$$$%%%%%%$$$$$$#########$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###&&&$$$&&&777;;;+++&&&%%%$$$$$$%%%&&&%%%$$$'''&&&$$$$$$%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((((((%%%%%%%%%%%%&&&&&&''''''%%%%%%&&&&&&%%%$$$((((((((((((((((((((((((&&&&&&&&&'''((()))***+++&&&&&&&&&'''''''''((((((&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&(((&&&&&&***000333000---+++)))&&&%%%&&&''''''&&&''''''&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''$$$%%%%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''(((&&&&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((((((((''''''''''''&&&&&&%%%%%%%%%&&&''''''$$$$$$$$$$$$%%%%%%&&&'''&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%""""""###$$$&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$''''''((('''&&&&&&''''''+++)))((())),,,,,,(((%%%%%%%%%&&&&&&'''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""############""""""%%%%%%%%%$$$$$$############$$$$$$%%%%%%$$$$$$#########$$$$$$%%%%%%%%%%%%"""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&###%%%555888(((&&&%%%$$$$$$&&&&&&%%%$$$'''$$$""""""$$$&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((((((%%%%%%&&&&&&&&&'''''''''%%%%%%&&&&&&&&&%%%''''''((((((((((((''''''$$$$$$%%%&&&''')))***+++&&&&&&'''''''''(((((((((&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&((('''''')))---...+++((()))'''&&&&&&''''''&&&%%%''''''&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''((('''&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((((('''''''''&&&&&&%%%%%%%%%%%%&&&&&&'''(((%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$%%%&&&''''''&&&&&&'''((()))(((%%%###%%%%%%&&&&&&''''''&&&&&&###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""##################"""%%%%%%$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$%%%&&&&&&&&&!!!"""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%'''$$$&&&$$$!!!***--- '''%%%$$$%%%&&&'''&&&$$$%%%$$$######$$$&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((((((%%%%%%&&&''''''''''''&&&%%%%%%&&&&&&&&&&&&&&&'''(((((((((((('''&&&%%%%%%%%%%%%&&&'''))))))''''''''''''((((((((((((&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&%%%&&&'''((()))(((((('''((('''&&&'''((((((&&&$$$&&&&&&''''''''''''''''''''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%&&&&&&'''((('''&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((('''''''''&&&&&&&&&$$$$$$$$$%%%&&&'''((()))&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%%%%%%%&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$######$$$%%%&&&&&&$$$&&&))))))(((&&&$$$$$$$$$%%%&&&&&&''''''&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$%%%&&&&&&'''"""###$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%)))###&&&'''!!!###'''"""'''%%%%%%%%%&&&'''&&&%%%###$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((((((%%%%%%'''((((((((('''&&&%%%%%%&&&&&&&&&&&&%%%&&&'''(((((('''&&&%%%&&&&&&%%%%%%%%%&&&&&&'''''''''''''''((((((((()))&&&''''''''''''''''''&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&###$$$&&&'''&&&&&&'''(((((('''''''''((((((&&&$$$&&&&&&''''''''''''''''''((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&'''''''''(((((('''&&&&&&%%%%%%&&&&&&'''((('''&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((('''''''''&&&&&&&&&$$$$$$$$$%%%&&&'''((()))'''&&&&&&%%%$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%%%%%%%&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&$$$###$$$%%%%%%%%%$$$(((,,,,,,)))&&&%%%&&&$$$%%%%%%&&&'''''''''&&&#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$#########$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%$$$$$$$$$######$$$%%%%%%&&&''''''###$$$%%%&&&'''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%(((!!!&&&+++%%%$$$******'''&&&%%%%%%''''''&&&%%%"""$$$&&&'''%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&######$$$%%%%%%&&&''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&'''''''''((((((((((((((((((((((((((((((%%%%%%'''((((((((('''&&&%%%%%%&&&&&&'''&&&(((((((((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((())))))((('''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''((((((((((((((((((''''''((((((((('''&&&&&&%%%%%%''''''''''''''''''''''''(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((***)))'''%%%%%%%%%'''((('''&&&&&&%%%%%%&&&&&&'''%%%%%%&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''%%%%%%&&&&&&((()))***+++******)))'''&&&%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&((('''%%%$$$###$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$#########$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&%%%%%%###"""########################$$$$$$%%%%%%%%%%%%&&&&&&'''&&&$$$%%%%%%&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$%%%&&&&&&%%%###!!!"""###%%%%%%$$$######$$$%%%&&&&&&''''''&&&&&&$$$%%%&&&''''''&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%)))&&&###$$$&&&((('''$$$%%%%%%%%%&&&&&&'''''''''&&&&&&%%%$$$$$$#########&&&''''''&&&$$$$$$&&&'''&&&&&&&&&%%%%%%$$$$$$$$$######$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''((()))%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&%%%%%%&&&'''(((%%%"""###&&&(((((('''$$$%%%&&&'''((((((((((((&&&''''''(((((((((((((((%%%&&&'''(((((('''&&&%%%&&&&&&&&&''''''''''''((()))(((((('''&&&$$$&&&''''''''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((()))(((((('''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((***((('''%%%%%%%%%'''((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&((()))***+++***))))))'''&&&%%%$$$$$$&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&'''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&""""""""""""""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''&&&$$$%%%%%%&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%&&&&&&%%%###""""""###$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&$$$%%%&&&&&&&&&&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&'''&&&%%%$$$&&&'''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%&&&''''''%%%"""###%%%'''&&&%%%%%%&&&''''''((('''''''''&&&''''''(((((((((((((((&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((%%%%%%&&&&&&''''''%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''%%%&&&&&&'''(((((())))))'''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((()))((('''%%%%%%&&&''''''''''''&&&&&&&&&&&&''''''((('''''''''&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&''')))***+++))))))(((((('''&&&%%%%%%''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$######$$$$$$$$$$$$%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$######""""""""""""###%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&'''%%%$$$$$$&&&&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&%%%##################$$$%%%%%%$$$%%%&&&&&&''''''&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&%%%%%%#########$$$%%%&&&&&&&&&%%%&&&'''&&&%%%%%%&&&'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((('''&&&&&&'''((('''%%%######$$$%%%$$$$$$'''''''''(((''''''&&&%%%&&&''''''((((((((((((((('''''''''&&&&&&'''''''''&&&&&&&&&''''''''''''(((%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&''''''&&&&&&''''''''''''''''''''''''(((((((((((((((((((((((((((((('''''''''&&&&&&&&&&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&'''''''''((((((((()))''''''''''''''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((((('''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&'''''')))(((((('''&&&%%%%%%$$$'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&&&&''''''(((******))))))((((((''''''&&&&&&''''''&&&&&&&&&&&&''''''$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&'''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&%%%###%%%$$$###"""###$$$%%%&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""&&&)))(((%%%$$$%%%''''''''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%''''''&&&%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&'''&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((&&&&&&'''((('''&&&%%%%%%%%%%%%$$$$$$(((((((((((('''&&&%%%$$$&&&''''''(((((((((((((((((('''&&&%%%%%%&&&'''(((&&&&&&&&&''''''''''''((()))((('''%%%$$$###$$$%%%%%%&&&''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((('''''''''''''''&&&&&&&&&&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&'''''''''(((((())))))((((((((('''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''((((((((((((((((((((((((''''''&&&&&&&&&'''''''''(((''''''&&&&&&''''''((())))))((('''&&&&&&%%%%%%'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&''''''((()))***((((((((((((((((((''''''&&&&&&%%%$$$$$$%%%&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&''''''&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%&&&&&&%%%###%%%$$$#########$$$&&&'''$$$%%%&&&&&&''''''&&&&&&''''''&&&&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$''')))(((&&&$$$&&&((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$###%%%''''''&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((('''&&&%%%&&&((('''(((((('''&&&&&&%%%%%%))))))(((((('''&&&$$$$$$&&&''''''(((((((((((((((((('''&&&%%%%%%&&&'''(((&&&&&&&&&''''''''''''(((''''''&&&'''((()))&&&&&&''''''((('''''''''''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&''''''((()))))))))******)))(((((('''&&&&&&''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''%%%%%%&&&&&&'''(((((((((''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&'''''''''''''''((((((''''''''''''(((((()))((((((((('''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''((())))))(((((((((((((((((())))))&&&%%%$$$######$$$%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&''''''$$$$$$%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$############$$$%%%%%%%%%%%%%%%%%%%%%%%%############$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$###$$$&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$%%%&&&&&&%%%###$$$$$$$$$$$$$$$%%%&&&&&&$$$%%%&&&&&&''''''&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&%%%%%%&&&(((&&&&&&&&&&&&&&&&&&%%%%%%'''''''''&&&%%%$$$$$$$$$"""$$$'''((('''&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&%%%%%%&&&'''&&&((())))))'''&&&&&&'''(((((((((((('''&&&%%%$$$&&&''''''((((((((((((((('''''''''&&&&&&'''''''''&&&&&&&&&''''''''''''((("""###%%%(((---222((((((((()))((((((''''''''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''''''''(((((()))******+++)))))))))((((((((((((((('''''''''''''''''''''''''''''''''((((((((())))))''''''''''''''''''''''''%%%%%%&&&&&&'''(((((()))''''''''''''''''''''''''((((((((((((((((((((((((%%%&&&&&&''''''(((''''''((((((''''''''''''(((((((((((((((((('''''''''''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''(((''''''''''''((())))))''''''(((((()))))))))***'''&&&%%%$$$$$$%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%&&&''''''((('''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$#########$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$###$$$&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%&&&&&&%%%######$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%$$$######$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''%%%"""!!!"""$$$%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%!!!$$$'''((('''&&&&&&'''$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%$$$$$$$$$&&&$$$&&&))))))'''&&&&&&((('''((((((((('''&&&%%%%%%&&&''''''(((((((((((((((&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((%%%%%%&&&(((+++///))))))******)))(((''''''((((((((((((((((((((((((((((((((((((((((((((((((&&&'''''''''''''''''''''&&&''''''''''''''''''&&&'''''''''&&&&&&''''''''''''(((((()))***++++++,,,''''''(((((())))))******'''''''''''''''''''''''''''((((((((())))))******((((((((((((((((((((((((%%%%%%&&&&&&'''((())))))((((((((((((((((((((((((((((((((((((((((((((((((%%%%%%&&&'''((((((((('''((((((''''''''''''(((((('''''''''((((((((((((((('''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''(((''''''''''''(((((()))''''''(((((())))))******)))(((&&&%%%%%%&&&((()))'''&&&$$$$$$$$$$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&#########$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&'''(((((('''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&"""###%%%&&&'''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%######""""""###%%%&&&(((''''''''''''''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$###$$$&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''%%%######$$$%%%&&&'''&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&$$$###"""!!!!!!"""###$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%(((### ###$$$$$$%%%%%%%%%&&&&&&'''''''''$$$%%%%%%&&&&&&''''''(((!!!$$$'''(((((('''''''''$$$$$$$$$%%%%%%&&&&&&&&&######$$$%%%%%%&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&))))))((('''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%######$$$%%%!!!%%%((((((&&&%%%&&&((('''''''''(((''''''&&&%%%&&&''''''(((((((((((((((%%%&&&'''(((((('''&&&%%%&&&&&&&&&'''''''''((((((,,,+++(((&&&%%%%%%))))))(((((('''''''''&&&'''''''''''''''''''''''')))))))))))))))(((''''''))))))(((((('''''''''&&&)))&&&%%%&&&((()))'''%%%''''''''''''''''''&&&&&&((((((((((((((()))******)))((('''&&&%%%&&&&&&'''''''''''''''''''''&&&&&&))))))))))))))))))))))))''''''((((((((((((((('''&&&''''''((()))******+++((((((((((((((((((((((((''''''''''''''''''''''''&&&'''((())))))'''%%%###(((((())))))((('''&&&&&&(((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%'''&&&$$$&&&******'''&&&&&&&&&'''((())))))***))))))))))))(((&&&%%%$$$$$$$$$$$$$$$%%%&&&'''''''''%%%###$$$&&&'''%%%###%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$######$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%$$$$$$$$$%%%'''((('''&&&$$$#########$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###%%%&&&((('''%%%#########%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%$$$###$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''(((&&&""""""&&&((('''%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%$$$$$$###$$$%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$%%%%%%&&&&&&&&&((('''%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&'''''''''&&&%%%%%%$$$((('''&&&%%%%%%%%%%%%%%%$$$&&&(((******)))((('''''''''''''''((((((((((((''''''''''''''''''''''''%%%&&&&&&&&&'''(((((((((''''''&&&&&&&&&%%%)))((((((((('''''''''''''''''''''''''''''''''''')))))))))))))))(((''''''))))))((((((((('''''''''((('''%%%&&&((()))'''%%%''''''''''''''''''''''''((((((((((((((()))******)))((('''&&&&&&&&&''''''((((((((((((((((((((((((((((((((((((((((((((((((&&&''''''((((((''''''&&&'''''''''((()))*********((((((((((((((((((((((((''''''''''''''''''''''''''''''((((((((('''%%%%%%((((((((((((((('''&&&&&&(((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%'''&&&$$$&&&******'''&&&&&&''''''((())))))***))))))))))))((('''&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''%%%###$$$&&&'''%%%###$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&''''''''''''&&&%%%$$$$$$$$$%%%&&&'''&&&%%%$$$######$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###$$$%%%''''''%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&(((&&&######&&&(((&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%$$$$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%&&&&&&&&&&&&'''&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%$$$''''''''''''&&&&&&%%%%%%'''(((((()))((('''%%%$$$''''''''''''((((((((((((''''''''''''''''''''''''&&&&&&&&&'''''''''''''''''''''&&&&&&&&&%%%(((((((((((('''''''''''''''''''''''''''''''''''')))))))))))))))(((((('''))))))((((((((((((''''''((('''&&&&&&(((((('''&&&''''''''''''''''''''''''((((((((((((((()))******)))(((''''''&&&&&&''''''))))))))))))))))))))))))''''''''''''''''''''''''&&&''''''(((''''''&&&&&&''''''(((((())))))******((((((((((((((((((((((((''''''''''''''''''''''''(((((((((''''''''''''&&&(((((((((((((((''''''&&&(((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$&&&******'''&&&&&&''''''((()))))))))((())))))******))))))((('''&&&&&&%%%%%%%%%%%%%%%&&&%%%$$$%%%&&&'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###%%%&&&'''&&&&&&((()))%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''######'''(((&&&%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&'''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%''''''((()))((('''&&&%%%'''''''''&&&&&&&&&&&&&&&''''''''''''(((((((((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%((((((((((((((('''''''''''''''''''''''''''''''''(((((())))))))))))(((((())))))((((((((((((((((((((('''''''''((((((((('''''''''''''''((((((((((((((((((((((((((())))))***((((((''''''''''''''''''(((((()))))))))))))))***''''''''''''''''''''''''((())))))))))))((('''''''''((((((((()))))))))***(((((((((((((((((((((((('''''''''''''''''''''''')))(((''''''''''''(((((('''(((((((((((((((''''''(((((((((((((((((((((((((((((((((((((((''''''&&&''''''''''''''''''''''''&&&'''&&&$$$&&&++++++'''''''''''''''(((((())))))(((((()))***************(((((('''%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((()))&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$&&&''''''&&&&&&(((***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%((('''$$$$$$'''(((%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&''''''(((((((((''''''&&&&&&%%%&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&'''&&&&&&%%%%%%&&&''')))******((('''%%%#########$$$&&&((()))+++''''''''''''((((((((((((''''''''''''''''''''''''((((((((('''&&&&&&&&&%%%''''''&&&&&&&&&%%%'''''''''((((((((((((((((((((((((((((((((((((((((((((())))))))))))(((((((((((())))))))))))))))))'''(((((((((((('''(((((('''''''''((((((((())))))((((((((((((((())))))***''''''(((((((((((((((((('''''''''(((((()))))))))))))))))))))))))))))))))+++++++++++++++***))))))(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''(((((()))''''''((((((((((((((('''(((((((((((((((((((((((((((((((((((((((''''''&&&''''''''''''''''''''''''&&&((('''%%%'''++++++(((''''''''''''(((((((((((('''((()))******++++++***)))((('''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&''''''((('''&&&&&&&&&&&&'''((((((''''''&&&&&&''''''(((%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((()))&&&&&&''''''&&&&&&&&&&&&%%%%%%&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&&&&&&&''''''((('''%%%%%%''')))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))((((((''''''&&&&&&'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%''''''$$$$$$''''''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((((((((((((''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%&&&&&&'''&&&&&&%%%%%%'''(((******)))'''&&&#########$$$&&&((()))+++''''''''''''((((((((((((((((((((((((((((((((((((((((((((('''&&&&&&&&&%%%''''''&&&&&&&&&%%%'''''''''((((((((((((((((((((((((((((((((((((((('''(((((()))))))))))))))(((((())))))))))))******'''((())))))''''''((()))'''''''''(((((())))))***((((((((((((((()))******''''''((()))))))))((((((&&&''''''(((((()))))))))++++++++++++++++++++++++------------,,,+++******(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((('''(((((((((((()))))))))&&&'''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&'''''''''''''''''''''''''''((('''%%%'''++++++(((''''''(((((((((((((((((('''(((((()))************)))((('''&&&%%%%%%%%%%%%$$$%%%''''''&&&&&&'''))))))((('''&&&&&&'''((()))''''''&&&&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((&&&'''(((((())))))((((((&&&&&&'''(((((((((''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%&&&&&&''''''&&&'''''''''&&&$$$$$$&&&((('''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''''''''&&&(((((((((((((((((('''''''''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$###"""!!!$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$''''''%%%%%%''''''$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((('''''''''&&&&&&&&&&&&&&&%%%%%%&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&%%%$$$###%%%%%%&&&&&&''''''&&&&&&%%%&&&'''((()))((('''''''''''''''&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((((((((((((((('''''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%''''''''''''((((((((()))((((((((((((((((((((((((''''''((()))))))))))))))(((((()))))))))*********''')))***)))''''''(((***&&&''''''((())))))******((((((((((((((()))******&&&'''((()))***))))))(((''''''((())))))***++++++++++++++++++++++++++++++------------,,,+++***)))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((&&&'''((()))***))))))(((&&&&&&'''((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&'''''''''''''''''''''''''''((('''%%%''',,,,,,(((((((((((((((((((((((('''''''''((()))))))))(((((()))((('''&&&&&&&&&&&&&&&###%%%''''''&&&&&&(((***)))(((&&&%%%%%%&&&((()))'''&&&&&&&&&&&&&&&&&&'''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&''''''''''''&&&'''(((***++++++++++++''''''((()))((((((&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&###$$$%%%&&&''''''''''''%%%%%%%%%$$$###$$$'''***''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''((((((((('''&&&&&&&&&&&&&&&'''''''''''''''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$''''''%%%%%%''''''$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''###$$$%%%&&&&&&&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%'''((((((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&''''''&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''''''''''''''(((((()))((('''%%%$$$''''''''''''((((((((((((((((((((((((((((((((((((&&&&&&&&&'''''''''''''''''''''&&&&&&&&&%%%&&&'''''''''(((((())))))))))))))))))))))))))))))''''''((()))))))))))))))(((((())))))*********+++''')))+++***'''&&&(((***&&&''''''((()))******+++((((((((((((((()))******&&&'''(((*********)))(((((())))))***++++++,,,,,,++++++++++++++++++++++++---------,,,+++***)))((())))))))))))(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))%%%''')))***+++***)))(((&&&&&&'''((())))))(((((((((((((((((((((((((((((((((((((((((((((''''''&&&(((((((((((((((((((((((('''((('''%%%(((,,,,,,(((((((((((((((((('''''''''''''''((((((((((((''''''(((((('''&&&&&&&&&&&&'''###%%%((((((&&&&&&(((+++((('''%%%$$$$$$%%%'''(((&&&&&&&&&%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((())))))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&''')))+++,,,------,,,(((((()))))))))'''&&&%%%$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&###$$$%%%&&&''''''''''''"""############%%%))),,,'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((((((((''''''$$$$$$$$$%%%%%%&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$'''(((%%%%%%((('''$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''"""###%%%&&&'''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((($$$$$$$$$%%%%%%&&&&&&&&&$$$%%%'''(((((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%'''(((((('''%%%$$$$$$%%%%%%&&&'''''''''&&&%%%%%%%%%%%%%%%&&&'''((($$$&&&(((******)))((('''''''''''''''((((((((()))))))))))))))))))))))))))%%%&&&&&&''''''(((((((((''''''&&&&&&&&&%%%(((((((((((((((((((((((())))))(((((((((((()))))))))))))))))))))))))))))))))))))))))))))(((((('''''''''(((((())))))************))))))))))))************))))))))))))******------,,,++++++******)))+++++++++************)))(((((())))))*********+++---+++)))'''''')))+++---)))))))))))))))******+++,,,+++++++++******))))))(((((((((((())))))))))))&&&&&&''''''(((((())))))))))))(((((((((((())))))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&)))+++***&&&&&&))))))'''))))))(((((('''''''''&&&&&&&&&''''''(((((())))))((((((''''''''''''(((((())))))(((((('''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''$$$%%%%%%&&&'''((())))))&&&&&&%%%$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&'''''''''*********)))(((&&&$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%&&&'''&&&%%%%%%%%%%%%&&&''''''$$$$$$$$$$$$%%%%%%&&&'''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&$$$%%%&&&&&&''''''&&&&&&$$$%%%&&&'''''''''%%%%%%#########$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&############$$$%%%&&&''')))((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''''''''((('''&&&$$$###"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###%%%((('''$$$###$$$&&&###$$$&&&'''''''''&&&&&&$$$###"""###%%%&&&%%%$$$''''''''''''''''''&&&&&&%%%%%%&&&&&&%%%%%%$$$###&&&&&&%%%$$$############%%%%%%&&&&&&'''&&&&&&&&&((('''&&&%%%%%%&&&'''(((%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&'''((()))'''''''''&&&&&&%%%%%%%%%%%%'''((())))))'''%%%$$$%%%%%%&&&'''''''''&&&&&&$$$%%%'''&&&%%%%%%&&&((((((((())))))))))))((((((&&&&&&&&&''''''''''''(((+++***)))(((&&&$$$###"""''''''''''''(((((((((((('''''''''&&&&&&%%%(((((((((((((((((((((((())))))(((((((((((()))))))))))))))))))))))))))))))))))))))))))))(((((('''(((((((((((())))))))))))******))))))))))))************))))))))))))******,,,,,,++++++++++++******+++++++++*********))))))((()))))))))************,,,+++)))(((((()))+++,,,)))))))))))))))******+++++++++*********)))))))))(((((((((((())))))))))))'''''''''((((((((((((((())))))(((((((((((())))))((((((((((((((((((((((((&&&''''''((((((''''''&&&''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&###'''((($$$###%%%'''&&&)))((((((((('''''''''&&&''''''''''''((((((((((((''''''&&&&&&&&&&&&'''''')))((((((((('''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''))))))))))))(((&&&%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''%%%%%%$$$$$$%%%%%%&&&'''%%%%%%&&&&&&'''&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&&&&'''''''''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''((('''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###%%%''''''%%%###$$$&&&$$$%%%&&&'''''''''&&&&&&%%%$$$###$$$&&&'''&&&%%%''''''''''''''''''&&&&&&%%%%%%&&&&&&%%%%%%$$$###&&&&&&%%%$$$$$$$$$$$$%%%''''''''''''&&&%%%$$$$$$'''&&&%%%%%%%%%%%%&&&'''%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%&&&'''((()))'''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&'''&&&%%%###"""&&&&&&&&&&&&%%%%%%$$$###$$$&&&''''''&&&%%%'''(((''''''(((((((((((('''''''''''''''((((((((())))))******)))(((&&&%%%$$$$$$''''''''''''(((((((((((('''''''''&&&&&&%%%(((((((((((((((((((((((())))))(((((((((((())))))))))))))))))))))))))))))))))))******))))))((('''))))))))))))((((((((((((******))))))))))))************))))))))))))***************+++++++++++++++++++++*********)))))))))))))))))))))************************************)))))))))))))))******+++******))))))))))))(((((((((((((((((())))))))))))))))))((((((((((((((('''))))))(((((((((((())))))((((((((((((((((((((((((&&&''''''((((((''''''&&&''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&!!!'''***&&&"""###&&&'''((((((((('''''''''''''''((((((((('''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&((((((((('''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''''''''&&&&&&%%%%%%&&&%%%%%%%%%%%%&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&'''((((((((((((((('''&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&(((((('''&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%&&&'''$$$$$$%%%&&&''''''''''''&&&&&&''''''''''''&&&&&&$$$%%%&&&&&&''''''&&&&&&(((((('''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$$$$%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&'''&&&&&&%%%&&&&&&&&&&&&''''''''''''''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###%%%''''''%%%%%%%%%&&&$$$%%%&&&'''''''''&&&&&&&&&%%%$$$%%%'''((('''&&&&&&&&&&&&&&&&&&&&&''''''%%%%%%&&&&&&%%%%%%$$$###&&&%%%%%%%%%%%%&&&''''''((((((((('''&&&%%%######&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&%%%%%%%%%%%%$$$$$$''''''&&&&&&%%%$$$######%%%&&&&&&''''''&&&&&&%%%$$$&&&''''''&&&&&&'''(((&&&&&&''''''''''''&&&&&&(((((((((((()))))))))***))))))(((((('''&&&&&&%%%''''''''''''(((((((((((('''''''''&&&&&&&&&(((((((((((((((((((((((())))))(((((((((((()))))))))))))))))))))))))))))))))************)))((((((******))))))((((((''''''******))))))))))))************))))))))))))******((())))))***+++,,,,,,,,,************)))))))))))))))))))))))))))*********((()))***++++++***)))((()))))))))))))))******+++)))))))))((((((((((((((((((((((((((())))))))))))***)))))))))((((((''''''))))))(((((((((((())))))((((((((((((((((((((((((''''''((((((((((((''''''''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''%%%---111,,,%%%%%%(((***''''''''''''''''''''''''(((((((((''''''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''''''''''''''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&(((((('''&&&&&&%%%&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&%%%%%%%%%&&&&&&'''###$$$%%%&&&''''''''''''&&&&&&''''''''''''&&&&&&$$$%%%&&&&&&''''''&&&&&&***)))'''%%%%%%%%%&&&&&&((((((''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""$$$&&&''''''''''''))))))))))))((('''&&&%%%%%%%%%&&&&&&&&&'''''''''%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%&&&''''''%%%%%%%%%&&&&&&&&&&&&''''''%%%%%%&&&&&&%%%%%%$$$###%%%%%%%%%&&&&&&((())))))''''''''''''&&&%%%$$$$$$&&&%%%%%%%%%%%%%%%%%%&&&&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$+++***)))'''&&&&&&&&&&&&%%%%%%&&&((())))))))))))%%%&&&''''''&&&&&&'''(((&&&''''''((((((''''''&&&''''''((((((((()))))))))((((((((((((''''''''''''''''''''''''(((((((((((('''''''''''''''&&&))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))***************))))))(((******))))))((((((''''''******))))))))))))************))))))))))))******(((((()))***++++++,,,---*********)))))))))((((((******))))))))))))))))))'''(((***++++++***(((''')))))))))))))))******+++((((((((((((((()))))))))(((((((((((())))))))))))******))))))((((((((('''))))))(((((((((((())))))))))))))))))))))))))))))'''(((((((((((((((((('''(((((((((((((((((((((((())))))))))))))))))))))))''''''''''''''''''''''''***111555///(((&&&((()))&&&&&&&&&'''''''''''''''((((((''''''&&&&&&%%%%%%((((((''''''''''''((((((&&&&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&''''''(((%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&''''''&&&%%%$$$$$$$$$%%%&&&%%%%%%%%%%%%&&&''''''''''''&&&%%%%%%&&&&&&&&&###$$$%%%&&&''''''''''''&&&&&&''''''''''''&&&&&&$$$%%%&&&&&&''''''&&&&&&***((('''&&&%%%&&&''''''(((((((((''''''&&&&&&&&&%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&%%%%%%(((((()))(((((('''&&&&&&%%%%%%%%%&&&&&&&&&&&&'''###$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%######$$$%%%&&&%%%$$$%%%%%%%%%%%%&&&&&&''''''%%%%%%&&&&&&%%%%%%$$$###%%%%%%%%%&&&'''((()))***$$$$$$%%%&&&''''''''''''&&&&&&''''''''''''&&&&&&(((((())))))))))))((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))))))))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++***)))''''''&&&''''''&&&&&&'''''''''&&&&&&%%%%%%&&&((('''&&&&&&''')))((((((((())))))(((((((((&&&&&&'''''''''(((((((((((((((((((((((((((((((((''''''''''''((((((((((((''''''''''''''''''))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))******++++++******)))((())))))))))))((((((((((((******))))))))))))************))))))))))))******(((((())))))***+++,,,,,,******)))))))))(((((((((************))))))))))))(((((()))******)))(((((()))))))))))))))******+++(((((())))))))))))******(((((((((((())))))))))))***))))))))))))))))))((())))))(((((((((((())))))))))))))))))))))))))))))'''(((((())))))(((((('''(((((((((((((((((((((((())))))))))))))))))))))))'''''''''''''''''''''''')))///222,,,'''%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&(((((((((''''''(((((((((&&&&&&&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%######$$$%%%&&&'''(((((($$$%%%&&&&&&''''''&&&&&&&&&&&&&&&''''''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&''''''((('''&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&''''''''''''&&&&&&''''''''''''&&&&&&$$$%%%&&&&&&''''''&&&&&&((('''''''''''''''(((((('''''''''''''''&&&&&&&&&%%%&&&&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$((('''&&&%%%$$$$$$$$$$$$''''''&&&&&&&&&&&&'''(((%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&((()))(((&&&''''''&&&%%%%%%%%%&&&&&&$$$###"""###%%%&&&%%%$$$$$$$$$%%%%%%&&&&&&''''''%%%%%%&&&&&&%%%%%%$$$###%%%%%%%%%&&&'''((()))***######%%%&&&'''(((((((((&&&''''''((((((''''''&&&(((((())))))))))))((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&*********)))((('''%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&%%%(((((('''&&&###!!!%%%'''((((((''''''((()))(((((())))))))))))((((((&&&&&&&&&&&&''''''''''''))))))((((((((((((((((((''''''''''''(((((((((((('''''''''''''''((())))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))***++++++++++++***))))))(((((((((((())))))))))))******))))))))))))************))))))))))))******(((((())))))******++++++***)))))))))((((((((((((************)))))))))((((((((())))))))))))(((((()))))))))))))))******+++)))))))))*********++++++(((((((((((()))))))))))))))))))))))))))*********))))))(((((((((((())))))))))))))))))))))))))))))(((((())))))))))))(((((((((((((((((((((((((((((())))))))))))))))))))))))''''''''''''''''''''''''$$$)))+++(((%%%%%%$$$"""%%%%%%%%%&&&&&&'''''''''%%%&&&&&&&&&&&&&&&&&&'''(((''''''&&&&&&''''''(((%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%&&&'''''''''&&&&&&$$$%%%%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&'''&&&%%%%%%%%%%%%&&&''''''(((((('''&&&&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%&&&'''(((((())))))(((&&&&&&&&&&&&&&&'''''''''%%%%%%&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&%%%%%%)))(((&&&%%%%%%'''***+++000...+++(((&&&%%%&&&'''$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$$$$&&&)))***(((&&&((('''&&&%%%%%%%%%%%%&&&%%%$$$###$$$&&&'''&&&%%%###$$$$$$%%%&&&&&&''''''%%%%%%&&&&&&%%%%%%$$$###&&&%%%%%%%%%&&&'''(((((($$$$$$%%%&&&''''''''''''%%%&&&''''''''''''&&&%%%''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((('''&&&&&&&&&&&&''''''((((((((($$$%%%'''((((((''''''&&&(((((('''&&&%%%###!!! &&&'''((((((''''''((()))'''(((((((((((((((((('''''''''''''''((((((((((((***)))))))))((((((''''''''''''''''''((((((((((((&&&'''''''''(((((())))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))***++++++++++++***))))))''''''(((((())))))************))))))))))))************))))))))))))******))))))))))))************))))))))))))((((((((((((+++*********))))))(((((())))))(((((((((((()))))))))))))))))))))******+++))))))******+++++++++,,,(((((((((((())))))))))))(((((())))))******++++++))))))(((((((((((())))))))))))))))))))))))))))))(((((())))))))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((("""%%%'''&&&&&&'''&&&"""%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&'''''''''&&&%%%$$$$$$%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%'''''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''((()))&&&%%%%%%%%%%%%&&&'''''')))((('''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&''''''''''''''''''&&&$$$%%%&&&&&&''''''&&&&&&$$$%%%''')))******))))))$$$%%%%%%&&&&&&'''''''''%%%%%%&&&'''((((((((('''%%%%%%%%%%%%%%%%%%%%%%%%(((((((((''''''&&&&&&&&&%%%$$$$$$$$$(((,,,111555===999333,,,'''%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&!!!"""$$$%%%&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$&&&)))***)))&&&((('''&&&%%%$$$%%%%%%&&&&&&%%%$$$%%%'''((('''&&&######$$$%%%%%%&&&''''''%%%%%%&&&&&&&&&%%%$$$$$$&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&'''&&&&&&%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&"""###%%%'''(((((((((((('''''''''((((((((())))))%%%&&&)))***+++***)))(((&&&&&&'''((()))))))))(((&&&'''((((((''''''(((***&&&''''''''''''''''''&&&(((((((((((())))))))))))*********)))((('''''''''''''''''''''((((((((()))&&&'''''''''(((((()))***+++,,,,,,+++***)))++++++***)))(((((())))))******++++++++++++*********)))(((''''''((()))***))))))))))))))))))******))))))))))))))))))))))))((((((((()))******++++++)))))))))))))))))))))))))))))))))))))))******+++'''((((((((())))))******))))))))))))))))))))))))*********)))))))))))))))******************++++++))))))))))))))))))))))))************************))))))(((((((((((())))))''')))***)))((('''((()))***)))))))))((((((''''''***)))'''%%%&&&(((***,,,******))))))((((((''''''((((((((((((''''''''''''))))))((('''%%%$$$######&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%&&&''''''&&&$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''((('''%%%%%%%%%&&&(((***%%%%%%%%%&&&&&&&&&'''''')))((('''&&&%%%&&&''''''(((((('''''''''&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$'''''''''&&&&&&%%%%%%%%%'''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&''''''''''''&&&&&&'''(((((('''%%%$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''""""""&&&...999??????===,,,,,,+++***)))(((''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''&&&%%%%%%&&&(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&))))))((('''&&&%%%%%%$$$&&&'''''''''&&&%%%%%%$$$&&&&&&&&&''''''''''''(((''''''''''''''''''&&&&&&'''&&&(((,,,111111+++&&&))))))(((((('''''''''&&&(((((('''''''''&&&&&&&&&***************)))(((((()))(((''''''(((***---...///---***'''&&&'''((()))&&&&&&''''''''''''&&&&&&((((((((((((((((((******++++++++++++******,,,,,,+++*********************++++++++++++*********)))(((((((((((()))***************))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((************************)))))))))))))))***++++++((((((((()))))))))******))))))))))))))))))))))))******************************************++++++))))))))))))))))))))))))***************************))))))(((((())))))***((()))******(((((()))*********)))))))))((((((((()))((('''''''''(((***+++***)))))))))((((((((('''((((((((((((''''''''''''%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%&&&''''''&&&$$$&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''((('''&&&%%%%%%&&&((()))%%%%%%&&&&&&&&&''''''''')))((('''&&&%%%&&&&&&'''((('''''''''&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$'''''''''&&&&&&%%%%%%%%%'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&&&&&&&'''''''''&&&&&&'''(((((('''%%%$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''((('''''',,,222444222...)))))))))(((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''&&&%%%%%%&&&(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&((((((((('''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%$$$&&&&&&&&&''''''''''''(((''''''''''''''''''''''''%%%$$$$$$(((,,,---((($$$)))(((((((((''''''''''''(((((('''''''''&&&&&&&&&***************)))((((((((('''''''''(((***,,,---...,,,***(((''''''((((((&&&''''''((((((''''''&&&((((((((((((((((((++++++************++++++------,,,++++++++++++,,,******++++++++++++*********))))))((())))))******++++++*********)))))))))))))))))))))))))))))))))+++******)))((((((''''''***************************))))))))))))***++++++)))))))))))))))*********((((((((((((((((((((((((************************++++++++++++++++++******))))))))))))))))))))))))*********************************))))))*********)))***+++***))))))***+++************))))))))))))(((((((((((()))))))))***))))))))))))(((((((((((((((((((((''''''''''''&&&######$$$%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((''''''''''''((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%&&&((((((&&&%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''&&&%%%%%%'''((()))%%%&&&&&&&&&&&&'''''''''(((((('''&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%'''''''''&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&%%%%%%&&&&&&'''%%%%%%$$$$$$%%%%%%&&&'''((((((((((((((((((((((((&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&'''(((((('''%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''***((('''(((******&&&"""&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''&&&%%%%%%&&&(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&''''''''''''(((''''''''''''''''''''''''((('''''')))------+++'''((((((((((((''''''''''''(((((((((''''''''''''&&&)))************))))))((('''&&&&&&&&&''')))+++,,,,,,++++++***)))(((''''''&&&''''''((((((''''''&&&)))))))))))))))))),,,,,,***))))))***,,,,,,,,,,,,++++++++++++,,,,,,***++++++,,,,,,++++++******)))))))))******++++++,,,++++++******))))))(((************************+++++++++******)))))))))******************************))))))******+++,,,************************((((((((((((((((((((((((*********+++++++++++++++,,,+++++++++++++++******))))))))))))))))))))))))************************++++++************++++++)))+++,,,+++***)))***+++******************))))))&&&''')))******))))))((())))))))))))(((((((((((((((((('''''''''&&&&&&&&&%%%%%%&&&'''(((******+++''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((()))((((((((((((((()))))))))&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&'''(((((('''%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&&&&&&&'''((()))&&&&&&&&&&&&''''''''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%$$$%%%&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&''''''&&&&&&%%%%%%%%%&&&''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&'''(((((('''%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%$$$%%%''''''%%%###%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''&&&%%%%%%&&&(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''((((((%%%&&&&&&'''&&&&&&%%%%%%&&&&&&&&&''''''''''''(((&&&&&&&&&'''''''''''''''***)))((())),,,---,,,***((((((((((((((('''''''''((((((((('''''''''''''''))))))************)))(((&&&&&&&&&&&&''')))***+++***+++++++++***)))'''&&&''''''((((((((((((''''''((((((((((((((((((---,,,+++******+++,,,---++++++*********++++++,,,++++++,,,,,,,,,,,,++++++)))******+++++++++++++++,,,+++++++++******))))))++++++++++++++++++++++++++++++,,,,,,,,,---------***************************************++++++,,,+++++++++++++++*********))))))))))))))))))))))))***+++++++++,,,,,,,,,---,,,,,,,,,,,,++++++******))))))))))))))))))))))))************************++++++************++++++)))+++,,,+++***)))***+++))))))))))))))))))******&&&''')))*********)))((((((((((((((())))))))))))''''''''''''&&&&&&&&&&&&&&&''''''(((((()))))))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((()))((((((((()))))))))******'''''''''''''''''''''''''''&&&&&&'''(((((('''%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&''''''((((((&&&&&&&&&'''''''''(((((('''''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&$$$%%%&&&&&&'''''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%&&&'''((('''''''''''''''((())))))&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&'''(((((('''%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$###$$$%%%'''(((((('''&&&&&&&&&'''(((((())))))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''&&&%%%%%%&&&(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&'''(((((((((%%%%%%&&&&&&'''&&&&&&%%%&&&&&&&&&''''''''''''(((&&&&&&&&&'''''''''(((((('''&&&%%%&&&'''((((((''''''''''''(((((((((((((((((((((((((((((((((((((((((())))))*********))))))%%%%%%&&&'''((()))******)))***+++++++++)))'''&&&'''(((((((((((((((((('''&&&&&&&&&&&&&&&&&&,,,,,,++++++++++++,,,,,,+++************++++++,,,++++++,,,,,,,,,,,,++++++)))***+++,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,------...//////000+++++++++++++++++++++++++++************+++,,,,,,,,,,,,,,,+++++++++++++++))))))))))))))))))))))))+++++++++,,,,,,------...---------,,,++++++******))))))))))))))))))))))))*********************************))))))*********)))***+++***))))))***+++(((((((((((())))))))))))&&&''')))*********)))((((((((((((((())))))))))))'''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((((((((())))))******++++++((((((((((((((((((((((((((('''&&&'''))))))'''&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''''''''(((&&&&&&'''''''''(((((((((''''''((((((''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%&&&''''''((('''''''''''''''''''''(((((((((''''''''''''''''''''''''%%%%%%%%%%%%&&&''''''(((((((((((('''((())))))***&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&'''(((((('''%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&'''((())))))''''''(((((()))))))))***%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''&&&%%%%%%&&&(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''((((((%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&''''''''''''(((%%%%%%&&&&&&'''((((((((((((((((((((((((((((((((('''''''''((((((((((((((('''(((((((((((()))))))))((())))))************)))%%%&&&'''((()))******+++)))***+++++++++)))(((''''''(((((())))))(((((('''%%%%%%%%%%%%%%%%%%+++,,,,,,,,,,,,,,,,,,++++++++++++++++++,,,------+++,,,,,,------,,,,,,+++)))***+++,,,---------,,,)))******++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,------------............++++++++++++++++++++++++++++++******++++++,,,---------,,,,,,,,,+++++++++++++++++++++++++++++++++++++++,,,,,,---............------,,,++++++******))))))))))))))))))))))))***************************))))))(((((())))))***((()))******(((((()))***&&&'''''''''(((((((((((('''(((((()))))))))))))))'''((((((((()))))))))***'''''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&''''''''''''(((((()))******+++,,,,,,((((((((((((((((((((((((((('''''''''))))))'''&&&&&&&&&&&&&&&'''''''''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&'''''''''''''''''''''''''''((((((((((((&&&'''((((((((('''&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%&&&'''((((((((((((&&&'''''''''((((((((()))''''''''''''''''''''''''%%%%%%%%%%%%&&&'''(((((('''''''''''''''((())))))''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&'''''''''&&&&&&'''(((((('''%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&&&&''')))(((((((((((((((((())))))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&''''''(((''''''''''''''''''''''''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''&&&%%%%%%&&&(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''''''''$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&''''''''''''(((%%%%%%&&&&&&'''(((((())))))***++++++***)))))))))''''''''''''((((((((()))'''((((((((())))))))))))(((((()))***************&&&'''((()))***+++++++++***************))))))((((((((())))))))))))((((((%%%%%%%%%%%%%%%%%%++++++---......---++++++,,,,,,,,,,,,------...///+++,,,,,,------,,,,,,+++)))***+++---......------))))))***+++,,,------...,,,,,,,,,,,,,,,,,,,,,,,,///......------,,,++++++++++++++++++++++++++++++++++++******++++++,,,------------,,,,,,+++++++++++++++++++++++++++++++++++++++,,,,,,---...//////......---,,,,,,+++******))))))))))))))))))))))))************************))))))(((((((((((())))))''')))***)))((('''((()))%%%&&&&&&&&&''''''(((((((((((((((((()))))))))***'''((((((((())))))******''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&'''((((((((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((())))))***++++++,,,,,,))))))))))))))))))))))))(((''''''((())))))(((&&&&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%&&&''''''((((((''''''''''''''''''((((((((()))&&&'''((((((((('''%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$%%%&&&'''((((((((((((&&&'''''''''(((((())))))''''''''''''''''''''''''$$$$$$$$$%%%&&&'''((()))'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''(((''''''&&&&&&''''''((('''&&&&&&'''(((((('''%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''###$$$%%%%%%%%%%%%((()))((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''(((((((((((((((((((((((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''&&&%%%%%%&&&(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&''''''''''''''''''&&&''''''''''''''''''''''''$$$%%%%%%&&&'''''''''&&&&&&&&&&&&'''''''''((((((%%%%%%&&&&&&'''((())))))%%%&&&((()))'''&&&%%%&&&&&&'''''''''(((((())))))'''((((((((())))))******(((((()))***************&&&'''(((***++++++++++++*********)))))))))))))))(((((())))))))))))((((((&&&&&&&&&&&&&&&&&&***+++---.........------111000...---,,,+++******+++++++++,,,,,,---------+++,,,------------,,,+++(((((()))***++++++,,,,,,+++++++++,,,,,,,,,------++++++++++++++++++++++++,,,,,,,,,++++++***************++++++++++++******)))))))))***++++++,,,,,,++++++************++++++***,,,------,,,,,,...///***111...,,,111///(((***+++***)))***++++++***)))))))))))))))))))))))))))...+++((('''((()))((((((&&&)))***)))%%%###%%%'''&&&&&&&&&''''''''''''((('''''''''(((((((((((()))&&&&&&&&&&&&&&&'''((()))''''''''''''''''''''''''%%%'''(((((('''&&&&&&'''%%%%%%&&&'''(((((((((''')))(((&&&%%%%%%&&&'''((((((((('''''''''&&&&&&&&&((())))))***+++,,,,,,,,,)))+++,,,,,,)))'''''''''))))))***)))&&&%%%%%%&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&'''(((((((((((('''&&&&&&&&&&&&'''''''''&&&%%%&&&''')))***&&&&&&''''''((('''''''''+++(((&&&'''))))))'''%%%%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((('''''''''&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''(((&&&%%%&&&'''((('''&&&))))))(((''''''''''''''')))(((((('''&&&&&&%%%%%%'''''''''''''''&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&((())))))'''%%%$$$(((((('''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$'''***+++***(((&&&&&&%%%&&&((())))))'''&&&$$$'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''&&&%%%$$$###$$$%%%&&&'''%%%&&&''''''((((((''''''&&&&&&''''''''''''&&&&&&((('''%%%%%%$$$%%%&&&'''((()))))))))))))))((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&'''((()))''''''''''''''''''''''''%%%&&&&&&''''''''''''''''''&&&$$$$$$$$$%%%''')))(((((())))))******+++++++++(((&&&'''***,,,+++))),,,,,,,,,+++***)))((((((***)))((('''''''''''''''((((((((((((((((((,,,---...//////......---000///...,,,++++++******,,,,,,,,,,,,,,,---------***+++,,,,,,,,,,,,+++***))))))***++++++,,,------+++++++++,,,,,,,,,,,,---++++++++++++++++++++++++,,,,,,,,,+++++++++************++++++++++++******+++*********************+++******))))))******++++++,,,------,,,,,,---...)))///,,,***000---'''***+++***))))))++++++***)))************************)))*********)))(((&&&%%%((())))))'''%%%%%%%%%'''&&&&&&&&&''''''''''''(((%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&'''((((((''''''''''''''''''''''''&&&((())))))(((''''''(((&&&&&&'''(((((((((''''''((('''''''''''''''(((((((((((('''''''''&&&&&&&&&(((((())))))***++++++,,,++++++,,,---------,,,++++++,,,---+++)))(((((()))((((((((((((((((((((((((''''''''''''''''''''''''''''''(((((((((((('''''''''''''''(((((())))))))),,,,,,***)))(((((('''''')))(((((('''''''''(((((()))(((''''''&&&'''((((((''''''(((((())))))((((((***(((&&&'''((()))'''%%%&&&&&&%%%%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''((((((((('''''''''&&&&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&&&&&&&''''''''''''((('''&&&&&&(((((('''&&&))))))((('''''''''''''''''''''''''''''''''''''''((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%&&&&&&&&&&&&''''''((()))((('''&&&%%%((('''''''''&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$''')))***((('''&&&&&&%%%&&&((())))))'''&&&%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''%%%%%%%%%%%%%%%&&&&&&'''%%%&&&''''''((((((''''''&&&&&&''''''''''''&&&&&&(((((('''&&&&&&&&&'''((((((((())))))))))))((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((('''&&&&&&&&&''''''''''''''''''''''''''''''''''''((())))))))))))(((((('''&&&%%%&&&''')))***'''''''''(((((((((((((((+++)))'''(((***++++++))),,,+++++++++***)))))))))(((((('''''''''(((((()))''''''''''''''''''---......///......---,,,///...---,,,+++*********,,,,,,,,,,,,,,,,,,++++++)))******++++++******)))******++++++,,,,,,------******+++++++++,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,++++++++++++*********++++++++++++******,,,,,,+++******)))((((((+++******))))))******++++++,,,------+++***+++,,,)))---)))(((///,,,&&&***+++***))))))++++++***)))++++++++++++++++++++++++'''(((*********---222777,,,)))&&&%%%%%%&&&'''&&&&&&&&&&&&''''''''''''(((%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''''')))+++***)))((())))))(((((()))))))))(((''''''&&&''''''((())))))))))))(((((((((''''''''''''&&&''''''(((((())))))******+++))))))+++...000...++++++,,,---,,,***))))))***((((((((((((((((((((((((''''''''''''''''''''''''(((((())))))))))))((((((''''''((()))***++++++,,,...---,,,***)))((((((((())))))((((((((())))))*********)))'''''''''''''''(((((()))))))))*********)))(((''''''(((((('''&&&''''''&&&&&&''''''((((((''''''''''''''''''''''''&&&&&&&&&'''''''''(((((()))(((((((((''''''''''''&&&''''''''''''''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((()))'''&&&'''((()))(((''')))(((''''''&&&'''''''''&&&&&&'''(((((()))******))))))((('''&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&'''''''''((()))))))))(((((((((''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&((((((&&&%%%&&&'''%%%&&&'''(((((('''&&&%%%'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''%%%%%%&&&'''''''''''''''%%%&&&''''''((((((''''''&&&&&&''''''''''''&&&&&&(((((('''''''''(((((()))'''(((((())))))(((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((***)))((('''&&&&&&&&&&&&''''''''''''''''''''''''((())))))******************)))((('''((()))***+++((((((((((((((((((''''''***)))'''(((***++++++***++++++******************''''''''''''((()))******''''''''''''''''''------------,,,,,,++++++---,,,+++***************,,,++++++******)))))))))((())))))))))))))))))((())))))******++++++++++++************++++++++++++***+++++++++++++++,,,,,,++++++++++++++++++++++++***++++++,,,,,,++++++***+++*********)))))))))(((******))))))))))))******+++,,,---,,,***))))))***)))+++'''(((000---&&&++++++)))((()))***+++***)))))))))))))))))))))))))))(((((('''&&&)))333DDDQQQ...***%%%$$$&&&((((((&&&&&&&&&&&&''''''''''''((('''''''''(((((((((((()))''''''&&&&&&&&&''''''(((''''''''''''''''''''''''''')))******)))(((((()))))))))******)))(((''''''%%%&&&(((***+++******)))((((((((('''''''''''''''''''''''''''(((((())))))***&&&$$$&&&+++---+++'''((())))))((('''&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((''''''&&&'''((()))***,,,------***))))))((())))))******((('''''''''((()))******))))))(((((((((((((((((()))))))))((()))))))))***((((((''''''((((((((('''(((((('''''''''(((((()))((((((((((((((((((((((((&&&&&&'''''''''((((((((())))))((((((((('''''''''&&&''''''((((((''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((())))))(((''''''))))))((('''(((''''''&&&&&&'''''''''''''''(((((()))*********))))))((('''&&&%%%%%%$$$((((((&&&%%%%%%&&&((((((&&&&&&&&&&&&''''''''''''''''''''''''((((((((((((******)))(((((((((((()))&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''&&&%%%$$$&&&'''%%%&&&'''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((('''''''''$$$%%%'''((()))((('''&&&%%%&&&''''''((('''''''''&&&&&&''''''''''''&&&&&&'''''''''''''''(((((((((''''''(((((()))(((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&&&&''''''''''''((()))((('''''''''''''''(((''''''''''''''''''''''''(((((()))***************))))))((((((((()))***+++,,,++++++******)))))))))***)))(((((()))******+++***************+++++++++)))((((((((((((((())))))'''''''''''''''''',,,++++++***))))))))))))+++******)))))))))*********)))))))))((((((''''''(((((((((((((((((((((((((((((((((((()))))))))))))))))))))*********++++++*********++++++,,,,,,,,,++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++(((((()))))))))************))))))))))))))))))******+++,,,+++)))(((((()))***+++'''+++555///''',,,***)))((()))******)))((((((((((((((((((((((((((())))))'''%%%'''111AAAMMM...***%%%$$$&&&(((((('''&&&&&&&&&''''''''''''((('''''''''(((((((((((()))(((''''''&&&&&&&&&''''''''''''''''''''''''''''''&&&(((***)))((('''(((((())))))******)))(((''''''%%%&&&(((***+++******)))(((((((((((((((((((((((('''''''''''''''(((((((((***&&&###$$$(((***'''$$$%%%&&&'''&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&(((***,,,---...******))))))))))))******%%%%%%%%%&&&'''((()))***'''((()))***++++++,,,,,,***)))((('''''''''((((((''''''((((((''''''(((((()))(((((('''''''''((((((((((((((((((((((((((((((&&&&&&&&&&&&'''''''''(((((((((((((((''''''''''''&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((())))))'''&&&'''((()))((('''''''''&&&&&&&&&&&&'''''')))))))))))))))))))))))))))(((((('''&&&&&&%%%%%%***)))(((''''''((()))***&&&&&&&&&'''''''''(((((('''''''''((((((((())))))******)))(((((((((((()))%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''&&&%%%$$$&&&'''%%%&&&&&&''''''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((('''''''''$$$%%%'''((()))((('''&&&%%%&&&''''''((('''''''''&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&'''(((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&'''((()))***+++''''''''''''''''''''''''&&&'''(((((())))))((((((((('''''''''(((((()))))),,,,,,++++++******))))))))))))))))))))))))***+++***************+++++++++,,,+++***(((((('''''''''''''''''''''''''''***))))))(((((((((((()))))))))((((((((())))))***(((((((((((((((((('''''')))((((((''''''(((((()))''''''''''''''''''((((((((())))))))))))******************++++++,,,,,,---***++++++++++++,,,,,,,,,++++++,,,,,,,,,,,,++++++''''''((())))))***++++++***))))))(((((())))))***(((*********((('''((()))+++***'''///999222(((---***)))((((((******)))(((&&&&&&&&&&&&&&&&&&&&&&&&'''))))))(((&&&''',,,000---***'''&&&&&&'''((('''&&&&&&&&&''''''''''''(((%%%%%%%%%&&&&&&&&&&&&'''(((((('''&&&&&&&&&&&&'''''''''''''''''''''''''''&&&((())))))(((''''''((((((((()))))))))(((''''''&&&''''''((())))))))))))'''(((((((((((()))))))))''''''((((((((((((((((((***'''%%%%%%''')))'''%%%&&&'''((('''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%###$$$&&&(((+++---///000000///---+++***)))(((((($$$$$$%%%%%%'''((()))***)))***,,,...///000000000---+++)))'''&&&&&&&&&&&&&&&'''((((((''''''((()))((((((''''''&&&&&&''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''((('''''''''&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''((((((((((((&&&%%%&&&'''((('''&&&&&&&&&&&&%%%&&&&&&'''((((((((((((((((((((((((((((((''''''''''''&&&&&&&&&))))))(((((((((((())))))&&&&&&'''''''''(((((((((''''''''''''((((((((())))))))))))(((((((((''''''%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&((((((&&&%%%&&&'''%%%%%%&&&&&&'''(((((((((%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''%%%%%%&&&'''''''''''''''%%%&&&''''''((((((''''''&&&&&&''''''''''''&&&&&&###$$$%%%&&&'''''''''&&&%%%&&&''''''((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&&&&''''''''''''(((%%%%%%&&&'''(((***+++,,,''''''''''''''''''''''''%%%%%%&&&'''''''''''''''&&&&&&'''''''''((((((((())))))))))))))))))((((((((()))***)))((((((***,,,++++++******************---,,,+++)))((('''&&&&&&&&&&&&&&&&&&&&&&&&))))))((('''((()))******((('''''''''(((((()))***((())))))))))))))))))***))))))(((''''''((())))))((((((((((((((((((((((((((((((((()))))))))******)))******+++,,,,,,------******+++++++++,,,,,,,,,+++,,,,,,------,,,,,,+++((((((((()))))))))))))))))))))(((((((((((())))))&&&((())))))''''''(((***)))(((&&&111<<<333(((+++***((('''((()))***)))(((''''''''''''''''''''''''(((((())))))'''%%%###"""*********)))'''&&&'''(((&&&&&&&&&''''''''''''(((%%%%%%%%%&&&&&&&&&&&&'''(((((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''''')))******)))((())))))&&&&&&'''(((((((((''''''((('''''''''''''''(((((('''((((((((())))))))))))(((((((((((((((((((((((('''&&&&&&&&&&&&((()))***&&&'''((((((&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%###$$$&&&))),,,///111222000///---+++)))(((''''''$$$$$$%%%&&&((()))+++,,,///000222444444555444444000...+++(((&&&%%%%%%%%%%%%''')))((('''&&&(((***(((''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''%%%$$$%%%&&&'''&&&%%%&&&%%%%%%%%%&&&&&&'''(((&&&&&&&&&'''((((((((()))&&&&&&&&&'''''''''''''''''''''((((((((((((''''''''''''''''''((((((((((((&&&&&&'''''''''(((((((((''''''((()))((('''&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$''')))***((('''&&&&&&%%%%%%%%%&&&'''((())))))%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''%%%%%%%%%%%%%%%&&&&&&'''%%%&&&''''''((((((''''''&&&&&&''''''''''''&&&&&&###$$$&&&'''((((((((('''$$$%%%&&&'''((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''''''''''''((()))++++++''''''''''''''''''''''''%%%%%%&&&''''''''''''&&&&&&&&&''''''((((((((('''))))))))))))))))))******((()))******((((((***,,,,,,+++++++++***))))))))),,,+++***)))((((((((((((&&&&&&&&&&&&&&&&&&))))))(((((((((***+++,,,'''''''''''''''((()))***))))))******++++++,,,,,,***)))(((''''''((()))***)))))))))))))))((((((((((((((((((((())))))))))))))))))***+++,,,,,,------*********++++++,,,,,,,,,+++,,,,,,------,,,,,,+++******))))))((((((''''''))))))(((((((((((())))))%%%'''(((((('''''')))***(((&&&&&&222>>>444'''******((('''((()))***)))(((((((((((((((((((((((((((+++)))'''''')))+++++++++(((***,,,***'''%%%&&&)))&&&&&&&&&'''''''''(((((('''''''''((((((((()))))))))((('''&&&&&&&&&&&&&&&'''''''''''''''''''''''')))***,,,,,,***)))***+++%%%%%%&&&'''(((((((((''')))(((&&&%%%%%%&&&'''((('''((((((((())))))******)))))))))))))))((((((((("""###$$$$$$$$$&&&))),,,$$$&&&'''&&&%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&$$$%%%(((***...111333444******)))(((''''''((((((%%%%%%&&&''')))+++,,,---555666777888888888777666333111---***'''&&&%%%&&&%%%'''))))))'''&&&(((+++((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%&&&&&&'''(((###$$$%%%&&&''')))******%%%%%%&&&&&&'''((((((((($$$%%%&&&''''''&&&%%%$$$''''''''''''((((((((()))&&&&&&&&&&&&'''''''''(((%%%'''((())))))'''%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$'''***+++***(((&&&&&&%%%%%%%%%&&&&&&((()))***%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''&&&%%%$$$###$$$%%%&&&'''%%%&&&''''''((((((''''''&&&''''''''''''''''''&&&$$$%%%'''))))))))))))((($$$%%%&&&'''(((((((((((('''''''''&&&&&&'''''''''&&&&&&&&&'''''''''((((((((((((((((((((((((((((((&&&&&&&&&'''''''''(((((()))(((((((((((())))))***''''''''''''''''''''''''%%%&&&&&&'''((('''''''''&&&''''''(((((((((((((((*********+++,,,,,,,,,---''')))+++***((('''***------,,,,,,+++***)))((((((******)))))))))))))))***&&&&&&&&&&&&&&&&&&---,,,,,,++++++******)))++++++++++++++++++++++++------------------------,,,+++++++++++++++++++++,,,,,,,,,++++++*********))))))))))))))))))))))))******+++++++++,,,,,,,,,,,,++++++******++++++,,,++++++++++++++++++++++++))))))))))))))))))))))))'''(((((()))***+++++++++******))))))))))))))))))(((***,,,//////...,,,***---,,,***(((((()))***+++,,,)))&&&&&&(((***)))'''))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((((()))***)))((('''((()))))))))(((((('''''''''&&&((((((((((((((((((((((((((((((((((((((('''''''''((()))***++++++***)))((()))((('''&&&%%%&&&''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''((((((&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''++++++,,,------------,,,)))(((((((((((('''''''''+++)))((('''(((+++...000555777:::<<<<<<:::777555///,,,)))((())))))'''%%%'''(((((()))))))))))))))&&&%%%$$$$$$############&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&%%%###"""###$$$%%%&&&'''&&&$$$###$$$%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%&&&&&&'''((((((%%%%%%$$$&&&'''((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&''''''(((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&))))))(((((('''''''''&&&%%%&&&&&&'''''''''''''''(((((('''&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%(((++++++)))'''%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&'''((()))''''''''''''''''''''''''&&&&&&&&&'''''')))***+++''''''&&&&&&%%%$$$$$$$$$)))(((&&&%%%%%%&&&((()))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((()))%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''((()))))))))''''''''''''''''''''''''((((((''''''&&&&&&&&&&&&'''((()))***)))(((&&&$$$%%%&&&'''((()))+++,,,,,,%%%+++111111+++%%%!!!!!!&&&&&&''''''(((((())))))(((((())))))))))))((((((+++******)))***,,,---...RRRFFF666,,,)))***++++++&&&'''''''''((()))))))))(((((('''&&&&&&&&&------..................,,,,,,,,,,,,,,,,,,,,,,,,........................---------------------------------,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------.........---,,,,,,++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,************************))))))***++++++,,,------,,,+++++++++++++++,,,,,,+++,,,---//////...---,,,///...---------///111222...,,,))))))***,,,+++)))------------------------++++++++++++++++++++++++************************************************''''''''''''((((((((()))))))))))))))))))))))))))***+++,,,+++)))((()))*********))))))(((((((((((())))))))))))))))))))))))((((((((((((((((((((((((((()))***++++++***)))((())))))'''&&&&&&&&&'''((((((((())))))))))))((((((&&&&&&'''''''''(((((((((&&&&&&&&&&&&&&&''''''((('''''''''''''''''''''''''''((())))))******))))))((((((((((((''''''''''''((('''%%%$$$%%%''')))+++111333666999999666333111...+++)))((()))***(((&&&'''((())))))******))))))'''&&&%%%%%%$$$$$$%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%&&&'''&&&$$$###$$$%%%%%%''''''&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''$$$$$$%%%%%%&&&''''''(((&&&%%%%%%&&&(((((('''%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((())))))&&&''''''((((((''''''&&&%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''###$$$$$$&&&'''((())))))))))))((((((((('''''''''&&&&&&'''(((((((((((('''(((((('''&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&%%%%%%%%%(((++++++)))'''&&&%%%&&&''''''((((((''''''&&&%%%%%%$$$$$$$$$%%%&&&&&&'''''''''''''''''''''''''''&&&&&&''''''((())))))%%%%%%%%%&&&&&&&&&&&&&&&)))(((&&&%%%%%%&&&((()))''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''(((((())))))''''''''''''''''''''''''))))))((((((''''''''''''''''''((())))))(((&&&&&&%%%&&&&&&'''((()))******)))...333333...)))''''''&&&&&&&&&&&&''''''''''''(((((())))))))))))((((((******))))))***+++---...<<<444+++&&&&&&((('''&&&'''''''''''''''(((((((((((('''&&&&&&%%%%%%///000000111222222333333........................////////////////////////......//////000000111111//////............------////////////////////////////////////000000000000......------------......,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++++++++,,,,,,------.........------------...///000000////////////............000/////////000222444555000...---,,,---...---,,,........................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++))))))))))))************+++++++++++++++++++++++++++------,,,+++***+++,,,++++++++++++************++++++++++++++++++++++++)))))))))))))))))))))))))))***+++,,,,,,+++***)))***)))((((((''''''(((((()))******************)))'''''''''((((((((())))))'''''''''''''''(((((()))((((((((((((((((((((((((&&&''''''((()))(((((((((((((((((((((''''''''''''((('''%%%$$$$$$%%%'''(((---///222444444222///---,,,+++))))))******)))((((((((()))************)))(((((('''&&&&&&&&&''''''((((((''''''''''''(((((('''((()))(((&&&%%%&&&'''&&&(((((('''&&&%%%&&&'''(((((('''''''''''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&'''''''''((($$$$$$%%%%%%&&&''''''''''''&&&&&&'''))))))(((&&&(((((((((((((((((((((((((((((()))))))))*********((((((((())))))((((((((('''&&&&&&%%%$$$$$$######%%%&&&&&&&&&&&&'''''''''$$$%%%%%%&&&'''((())))))))))))((((((((((((''''''''''''((()))))))))(((((((((((('''&&&&&&&&&&&&'''&&&&&&''''''''''''''''''&&&(((++++++***(((''''''))))))************))))))''''''&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''''''''''''''((($$$$$$$$$%%%&&&'''''''''((('''&&&%%%%%%&&&'''(((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&''''''(((((('''''''''''''''''''''''')))))))))((((((((((((((('''''''''''''''(((((((((&&&&&&&&&'''''''''((((((%%%))),,,+++(((%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%'''(((((())))))(((((('''))))))))))))***+++,,,------***((((((***+++(((&&&'''''''''''''''&&&&&&&&&))))))((('''''''''222222222333333444444444000000000000000000000000////////////////////////...//////000111222222333000000000000000000000000111111111111111111111111000000000000111111111111000//////......//////000------------------------------------------------------------......//////............///000222222333222000///...//////000............///000111222111000///////////////...------------------------------------------------........................,,,,,,,,,,,,,,,,,,,,,,,,,,,------------.........,,,,,,,,,,,,,,,,,,,,,,,,,,,---...---+++***+++,,,---,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++)))))))))******************+++,,,------,,,+++***+++******)))))))))))))))******++++++++++++******((((((((()))))))))******((((((((((((((()))******))))))))))))))))))))))))))))))***++++++++++++***))))))((((((((('''''''''+++***((('''''''''((()))***,,,...000000...,,,***+++***))))))******++++++((()))******++++++*********))))))((((((((())))))***))))))(((((())))))***((()))******((('''(((***((()))***)))'''&&&'''((()))))))))(((((('''''''''((((((((((((((((((((((((&&&''''''''''''(((((((((%%%%%%&&&&&&&&&''''''''''''''''''((()))***)))'''((((((((((((((((((((((((((((((((()))))))))******'''(((((())))))(((((('''((((((((((((''''''&&&&&&&&&&&&&&&&&&''''''''''''))))))(((((('''&&&&&&&&&))))))(((((((((((((((((('''(((((()))))))))))))))(((((('''&&&&&&&&&&&&'''''''''''''''((((((((((((''')))++++++***(((((((((******++++++++++++******,,,++++++***))))))))))))''''''''''''''''''''''''''''''(((((('''''''''&&&$$$$$$$$$%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((''''''''''''&&&&&&&&&&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&!!!###$$$$$$"""!!!"""$$$(((''''''&&&&&&%%%%%%%%%'''(((((((((((((((((('''(((((())))))***++++++,,,+++***+++,,,---,,,)))&&&((((((''''''&&&&&&%%%%%%++++++***)))))))))444444444444333333222222111111111111111111111111..............................///000111222222333111111111111111111111111222222222222222222222222000000000000111111111111111000000//////000000111........................////////////////////////---------........................//////111222333444333111/////////111111.........------.........000111111111000/////////------------------------------------------------............................................................/////////000------------------------,,,---...---+++***+++,,,------..................++++++++++++++++++++++++*********+++++++++,,,,,,+++,,,---......---,,,+++,,,,,,,,,+++++++++***************++++++*********)))))))))*********++++++******))))))******+++,,,************************++++++,,,------------,,,******)))))))))(((((((((---,,,+++***)))))))))******+++---......---+++*********************+++,,,)))******++++++++++++++++++******)))******+++++++++******))))))******+++)))***++++++***)))***+++)))***+++***((('''((()))*********))))))((((((((())))))))))))))))))))))))'''''''''((((((((())))))'''''''''''''''((((((((()))(((((()))++++++***(((''''''''''''''''''''''''''''''((((((((()))))))))'''''''''((((((''''''''''''''''''(((((()))))))))&&&&&&&&&'''''''''(((((()))))))))(((((('''''''''(((((())))))))))))))))))'''(((((()))))))))))))))(((((('''&&&&&&&&&&&&''''''''''''(((((()))))))))''')))++++++***))))))*********++++++++++++******///...---,,,,,,,,,,,,,,,(((((((((((((((((((((((('''((()))))))))((('''&&&&&&&&&%%%%%%$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''((()))&&&&&&&&&&&&%%%%%%%%%%%%$$$%%%%%%%%%$$$%%%&&&''')))(((((((((''''''&&&&&&''''''((((((((((((''''''''''''((()))************((((((((()))))))))'''%%%(((((((((''''''&&&&&&%%%+++***))))))((((((555555444333333222111111222222222222222222222222000000000000000000000000//////000000111111222222111111111222222222222333111111111111111111111111///000000000111111111111111111000000000000111111////////////////////////000000000000000000000000.../////////////////////////////////000000111222333222111000000000111222111111111000000/////////000111222222000//////000////////////////////////------------------------........................////////////////////////------------....................................,,,---...---,,,++++++---............////////////,,,,,,,,,,,,,,,,,,,,,,,,******++++++,,,---------,,,---...//////...---,,,,,,------------,,,++++++******++++++++++++***************+++++++++,,,,,,+++++++++++++++,,,,,,---++++++++++++++++++++++++***+++,,,,,,------,,,,,,++++++++++++************,,,+++******))))))))))))+++,,,---......---,,,+++***+++++++++))))))+++---******+++,,,,,,,,,,,,+++++++++*********+++,,,,,,++++++************++++++)))+++,,,+++******+++---***+++,,,+++***))))))++++++******************)))************************(((((((((((()))))))))))))))))))))))))))))))))))))))))))))***+++,,,+++)))(((((((((((((((((((((((('''''''''((((((((())))))&&&''''''((((((''''''&&&%%%%%%&&&&&&'''(((((()))&&&&&&'''''''''(((((((((%%%&&&'''((()))+++,,,,,,(((((())))))))))))******''''''((()))))))))(((((((((((('''&&&&&&&&&&&&'''&&&&&&''''''((()))))))))(((***++++++*********,,,*********++++++*********------,,,+++++++++,,,,,,************************'''(((******+++***)))(((((((((''''''&&&%%%%%%$$$''''''''''''''''''''''''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&%%%%%%&&&'''((((((((((((((((((((('''''''''&&&''''''((((((''''''&&&&&&'''((()))*********)))&&&&&&''''''(((((())))))(((((((((((((((''''''''')))(((((('''''''''444333333333333333333333222222222222222222222222222222222222222222222222111111111111111111111111111111111222222333333333111111111111111111111111000000111111111222222222111111000000000000111111000000000000000000000000111111111111111111111111111111111111000000000000111111111000000111111222111111111111111111222222111222222333333333222222000222444444222000000111111111111111111111111111////////////////////////////////////////////////000000000000000000000000------------.......................................///000///---,,,---.............../////////000------------------------+++++++++,,,---.........---...///000000///...---------...///...---,,,+++,,,,,,------------,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,+++,,,------...,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,------------,,,------,,,,,,,,,++++++++++++++++++***************+++,,,---......---,,,+++***,,,---+++))))))+++---***++++++,,,---,,,,,,,,,+++*********++++++,,,---++++++************++++++)))***,,,,,,+++***,,,---+++,,,---,,,+++******,,,*********+++++++++++++++++++++++++++++++++++++++(((((()))))))))************************************))))))***,,,---+++***))))))))))))))))))))))))(((((()))))))))*********'''(((((())))))(((((('''''''''''''''''''''((((((''''''''''''(((((((((((($$$%%%&&&(((***,,,---...(((((()))))))))*********&&&&&&'''(((((((((((('''(((((('''&&&&&&&&&&&&'''%%%%%%&&&''''''((()))))))))***,,,++++++***+++---***++++++,,,,,,++++++***+++++++++***++++++,,,,,,++++++++++++++++++++++++'''(((***,,,,,,,,,+++***************))))))))))))))))))************))))))))))))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''(((((())))))''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%&&&'''''''''&&&%%%$$$&&&&&&&&&&&&''''''''''''%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&'''''''''''''''(((&&&''''''((((((''''''&&&%%%&&&'''))))))))))))(((&&&((()))))))))))))))***((((((((()))))))))))))))******)))(((((((((222222333333444555555555222222222222222222222222444444444444444444444444333222222222222222222222111111111222222333333333222222222222222222222222111111222222222333333333111111000000000000111111000000000000000000000000222222222222222222222222222222222222222222222222333333222111111111222222000000000111222222222222000000222333444555555555111444666666333111111333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000////////////000000000000........................///000111000///...///000---.........//////000000////////////////////////++++++,,,,,,---...//////---...///000000///...------.../////////...,,,,,,------............------++++++,,,,,,,,,,,,---------,,,,,,,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,,,,---......//////............---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---......---,,,++++++---...,,,)))(((***---***+++,,,,,,------,,,,,,************++++++,,,---+++******))))))******+++)))***,,,++++++***,,,---,,,---...---+++***+++,,,*********++++++,,,,,,,,,++++++++++++++++++++++++))))))))))))************,,,,,,+++++++++++++++++++++******+++------,,,***************************)))************+++++++++))))))************))))))++++++******))))))((((((''''''''''''((((((((()))''''''((()))***+++,,,,,,(((((())))))*********+++%%%&&&&&&'''''''''''''''(((((('''&&&&&&&&&&&&'''%%%%%%%%%&&&'''(((((())))))***,,,,,,++++++,,,---+++,,,,,,------,,,,,,+++++++++++++++,,,------...,,,,,,,,,,,,,,,,,,,,,,,,''')))+++---...---,,,++++++++++++,,,------......,,,,,,------------,,,,,,))))))))))))((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''((()))))))))))))))))))))))))))))))))&&&&&&&&&'''''''''((((((%%%&&&(((((((((&&&$$$"""&&&&&&&&&'''''''''((((((((('''&&&'''(((((('''&&&%%%%%%%%%&&&&&&'''''''''&&&''''''''''''''''''&&&%%%&&&'''))))))))))))(((%%%'''))))))'''%%%$$$$$$(((((())))))******++++++...---,,,,,,++++++777666666555444333333333333333333444444444555555555555444444333333222222333333333333333333333333111111111111111111111111111222222222222333333333111111111111222222333444333222222111000000000111222222222222111111000000444444444444444444444444444333333333222111111111444333333222222222333333///000111222333333333333222222333555777888777555111333444444222222333555222222222222222111000///111111111111111111111111222222222111111111000000111111000///////////////////////////000000000000222111000//////000111222111000000111222111///---000000111222222222222111//////000000///...------.........//////111222222000000////////////000000//////////////////////////////.........---------///...---,,,+++,,,------,,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,,,,------------------------.........///////////////..................------------------------------......---------,,,,,,,,,+++++++++,,,,,,,,,------......---------,,,,,,,,,......---------,,,,,,,,,)))))))))******+++++++++***+++,,,,,,,,,,,,---...,,,------......------,,,...------,,,,,,------...,,,,,,,,,++++++*********++++++++++++++++++++++++---+++******++++++)))((()))***+++,,,,,,+++***)))))))))************))))))))))))))))))))))))))))))'''((((((((())))))******)))))))))))))))))))))))))))************+++++++++******++++++++++++******))))))(((((((((((())))))&&&&&&&&&&&&&&&'''((((((((((((((((((((((((((((((***+++,,,+++)))(((((((((******+++,,,,,,,,,,,,+++))))))))))))************,,,***)))***++++++***)))++++++***************+++(((---///---000888;;;999,,,,,,,,,,,,,,,+++***)))))))))*********+++++++++))))))))))))))))))))))))***((()))---***$$$$$$((((((((('''&&&&&&'''))))))''''''&&&&&&&&&&&&''''''***)))((()))******(((&&&''''''&&&%%%%%%%%%&&&&&&%%%%%%&&&'''(((((((((((('''&&&&&&&&&&&&'''(((((('''&&&&&&%%%%%%&&&&&&'''''''''&&&%%%&&&'''((())))))'''%%%$$$%%%'''((((((***$$$(((,,,''''''+++'''*********))))))))))))((((((((()))***,,,---......000000000000//////666666555555444333333222444444444555555555666666555555555666666666666666333333333333333333333333222222222222222111111111000000111111222222333333333333333222333333444444444333222222111111111222333333222222111111111111333333333333333333333333222222222222222111111111555444333222222222222222111111222333444444444444444333333444666777666555222333444444222222222444222333333333222222111000111111111111111111111111333333333333222222111111222222111000000000000000000000000111111111222222222111000//////000111222111111111222222111///...000000111222222222222222000111111111000000///...////////////000111222333111111000000000000111111/////////////////////////////////.........------000///...---------......------........./////////................................................////////////////////////........................------------------------///.........------------,,,,,,,,,---------...............---------,,,,,,.........---------,,,,,,*********++++++,,,,,,,,,+++,,,------,,,+++,,,...,,,------......------,,,------,,,,,,,,,,,,------,,,,,,,,,,,,+++++++++***++++++++++++++++++++++++---+++******++++++***))))))***+++,,,,,,+++***))))))******************)))************************((((((((()))))))))******************************************++++++++++++******++++++++++++******)))))))))(((((()))))))))((((((((((((((()))******((((((((((((((((((((((((***+++,,,,,,***)))))))))((())))))***************(((((()))))))))************)))((((((******)))(((******)))))))))))))))***))),,,---+++---222444222,,,,,,,,,,,,,,,+++************+++++++++,,,,,,,,,++++++++++++++++++++++++)))***///555333+++&&&'''***)))(((''''''(((((()))''''''''''''''''''''''''((()))))))))((((((''''''&&&&&&%%%%%%&&&&&&''''''&&&''''''(((((((((((('''%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%&&&'''((())))))((((((((())))))(((''',,,'''((()))&&&'''+++)))+++++++++*********))))))))))))***+++,,,---......111111111000000///666666555555444444333333333333444444444555555555444555555666777777888888333333333333333333333333444333333333222222111111000000111111222333444444666666555555444444555555555444333333333333333333333333333333222222222222222222222222222222222222111111111111111222222222555555444333333333333333333333444444555666666666666555333333555666555444333444555444222111222333222333333333333222111111222222222222222222222222444444444333333333333222333222222111111111111111111111222222222333333333222111000000000000111222000111222222222111//////000111111222222222222222111222222222222111000000000000000000111222222333222222222111111222222222////////////////////////000///////////////......111000//////......//////////////////000000000000000000000000000000000000000000000000000000000000////////////////////////................................................000000////////////..................///////////////.........------------///.........------------,,,,,,,,,,,,,,,---------,,,---...---,,,+++,,,---------............---------,,,,,,++++++,,,,,,------,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,---,,,++++++,,,,,,+++******++++++,,,,,,++++++*********++++++++++++******************************)))))))))))))))*********************************************+++++++++,,,***++++++,,,,,,++++++*********))))))))))))******+++************+++,,,,,,((((((((((((((((((((((((+++++++++,,,++++++******&&&'''(((((())))))(((((((((((((((((())))))))))))((('''&&&'''((()))((('''(((((('''''''''(((((())))))++++++((((((++++++)))++++++,,,,,,,,,+++******+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,+++---222666444...)))***++++++***)))((((((((()))'''((()))******)))((('''&&&(((***)))&&&%%%&&&(((%%%%%%%%%%%%&&&'''((((((((((((((()))((((((''''''%%%$$$$$$$$$$$$%%%&&&&&&%%%&&&'''(((((('''&&&%%%'''&&&&&&&&&&&&'''(((((('''(((***+++***)))((('''''''''(((((((((***++++++,,,,,,,,,,,,++++++++++++******+++,,,,,,---......222111111000///...777777666666666555555555222222222333333333444444555555555666666777777777444444444555555555555555555555444444333222222222111111222333444555666666999888777666666555666666555555444444444444555555444444333333333333333333111111111111111111000000000000000111111222222222444444444444555666777777555555555555666666777777888666444333444555555444444555555444222111111222111111222222222222111111222222222222222222222222333333333333333333333222222111111000000111111111111222222222333333333333111111111111111111111111000111333333222000000000000111222222333333222222111111222222222222111111000000000000000111222222222222111111111111222222000000000000000000000000000000000000000000000000000000/////////........./////////000000000000111111111111111111111111111000000000000000000000000000000000///////////////............////////////......////////////000000000000000000000000000000/////////000000000111111/////////............---/////////............---------------............---...///...,,,++++++,,,------............------,,,,,,++++++++++++,,,,,,------------,,,,,,,,,,,,------------------------...,,,+++,,,------,,,++++++,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++*********************************************************+++++++++,,,,,,++++++,,,,,,,,,,,,+++++++++******))))))******+++,,,,,,++++++++++++,,,,,,))))))))))))))))))))))))*********+++,,,,,,+++)))&&&'''(((((())))))((((((''''''((((((((()))))))))((('''&&&'''((()))(((''''''&&&&&&&&&&&&''''''((())))))((('''&&&''''''&&&))))))*********))))))(((******++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.........---+++***,,,...---,,,+++***))))))(((((('''(((***++++++***((('''$$$(((+++***%%%###%%%(((''''''&&&&&&&&&''''''(((((((((((((((''''''&&&%%%%%%%%%%%%$$$%%%%%%&&&'''$$$&&&'''))))))'''&&&$$$&&&&&&&&&&&&''''''((((((%%%&&&((()))))))))***+++,,,111///+++......++++++------------,,,,,,,,,,,,++++++,,,,,,---------...111000///...---,,,888888888777777777777777444444444444555555555555888888888777777777666666666666666666777777888888555555555555444444333333444444555666666777888888999888777666666666666666666555555444555555666666444444444444444555555555222222222111111111000000000000111111222222222333222333333555777999;;;<<<666666555555555666777777999666444333444444444444444555555444222111111222000000111111111111111000222222222222222222222222111111111111222222222222000000/////////000000111111111111222222222333333111111222222222222111111000222444444222000000111111111222333333333333222000111111222222111111111000000/////////000111111111111111000000111111111111111111111111111111111111111111111111111111111////////////......------....../////////000000000000000000000000000000000000000000000000000000000111111000000////////////........./////////000000/////////000000111111111111111111111111111111111000000000111111111222222000000/////////.........000000/////////.................................---...///...,,,+++,,,------......//////......------,,,,,,++++++,,,,,,---------------------------------------------------...---,,,---...///...------,,,,,,,,,,,,,,,,,,---,,,,,,------------,,,,,,+++++++++++++++++++++++++++++++++++++++************************************++++++++++++,,,,,,,,,,,,,,,------------,,,,,,++++++************++++++,,,++++++******+++++++++************************)))(((((())),,,---+++)))'''((())))))******))))))(((((((((((()))))))))))))))((('''(((***+++***)))&&&&&&&&&&&&&&&'''(((((()))''''''''''''&&&'''(((''''''((((((((((((''''''))))))))))))************************************------,,,***((())),,,---,,,,,,,,,+++***)))((((((((()))+++,,,,,,+++)))((($$$(((+++***%%%###%%%((()))(((''''''&&&&&&&&&&&&'''''''''''''''&&&%%%$$$&&&&&&&&&&&&&&&''''''(((%%%&&&((())))))(((&&&%%%&&&&&&&&&'''''''''''''''&&&'''((('''(((+++000444OOORRRAAA//////...***///.........------------,,,,,,,,,,,,,,,,,,,,,,,,,,,...---,,,+++***)))888888888888888777777777666777777777777888888888:::::::::999888777777777666666666777777888888999555555555555555555555555777777777888888888888999777777666666555555666666555555555444555555666777555555555555555666666666444444444333222222111111222222222222222333333333111111222444666999;;;<<<666555444333333444555666888666444444555555444333333444555444222111222333000000111222222222111111333333333333333333333333000111111111111111222222//////////////////000111111111222222222333333333111111222333333222111111///222555555111///000222111222222333333333333333000000111222222222111111111111000000000111111222111111000000000000111111111111111111111111111111111111111222222222222333....../////////...---,,,////////////000000000000000000000000000000000000111111111111111111111111222111111000000//////............//////000000111///000000111111222222333000000111111111111111222111111111111222222222222000000000000////////////000000000000/////////////////////...............---...///...---,,,---.........////////////.........------,,,,,,------...---------............///........................///...---...///000///......------,,,,,,------...------............------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,------......------,,,,,,,,,++++++++++++,,,,,,,,,++++++************+++***************************(((''')))---///---***((()))******++++++******))))))))))))***************)))((())),,,---,,,+++'''''''''''''''((()))***)))&&&&&&((()))'''(((+++&&&&&&''''''((((((''''''((((((((())))))))))))***))))))))))))))))))))))))''',,,///---,,,,,,+++)))+++++++++++++++***)))(((((()))***++++++***)))(((&&&(((***)))&&&%%%&&&((()))(((((('''&&&&&&''''''''''''''''''''''''&&&%%%'''&&&&&&&&&&&&'''((((((&&&'''((())))))((('''&&&%%%&&&''''''(((((('''''')))******)))(((,,,444:::rrrrrrPPP///---,,,)))444............------------,,,++++++++++++++++++++++++******)))((('''666666666666666666666666666666666777777777777888666666666666666666666666444444555666666777888888444555555666666777777888999888888888888777777777555444444444444555555666555444444444444555666777555555666666666777777777666666666555444333333333444444444333333333333333000000111222333555777888555444222111111222444555666555444555666666444333222333444444222222222444111222333444444444444333333333333333333333333333111111111222222333333333000000//////000000111222333333333333444444444444111222222333333222222111///333666555111///000222111222333333444444333333111111222333333333333333444333333222222333333333222222111111111111222222222222222222222222222222222222222222333333333444//////000000000///...---000000000111111111222222000000000000000000000000222222222222222222222222222222111111000//////...---......///000000111111000000111111222333333444000000000000111111111222000111111111111222222222111111111000000000//////111111111000000000///////////////......---------,,,---......------...///......////////////......///......------......///------......////////////........................///...---...000111000//////...---,,,,,,---...///.........//////.........------------------------------,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,------------............------,,,,,,++++++++++++,,,,,,---,,,++++++******++++++++++++++++++++++++++++++,,,)))(((+++000222000,,,((()))******++++++******************++++++++++++***)))(((***,,,------,,,(((((((((((()))***+++,,,***&&&&&&******'''(((,,,&&&'''((())))))))))))(((((())))))))))))*********))))))))))))))))))))))))&&&+++...+++***,,,+++((())))))***++++++***)))((())))))))))))))))))))))))((()))))))))((((((''''''&&&&&&&&&&&&'''(((******'''(((((())))))))))))(((&&&&&&%%%%%%&&&&&&'''((('''''''''(((((('''''''''%%%&&&'''((((((((('''&&&(((***+++***(((***000666ggglllKKK***---,,,(((444.........---------,,,,,,+++++++++******))))))))))))))))))(((((('''444444444555555555555555333333333444444444555555000000111111222333333333333333333444555666666777444444555666777888999999999999888888777666666666333333333333333444555666444444444444444555666777555555666666777777888888888888777666555555444444555555555444444333333333111000000000111111222333444333111000000111222444444444444666777777555222222333444444222222333555333444444555666666666555333333333333333333333333222222222333333444444444111111000000111222333333444444444555555555666666111222333444444333222111///333777666111///000333111222333333444444333333222333333444555555555444666555555444444444555555444333333222222333333444222222222222222222222222222222222333333444444444000111111222222000///...111111222222222333333333111111111111111111111111444444444444444444444444222222222111000//////...---......///000111111222000000111222333333444444//////000000111111111111000000111111111222222222111111111111000000000000111111111111000000000000//////......---------,,,+++---......------///000......////////////......//////............//////---.........//////000000///////////////////////////......///000111111000///...---,,,,,,---...///......////////////......---------------------------------,,,,,,+++++++++++++++++++++++++++++++++++++++,,,,,,,,,---------------............---------,,,,,,++++++,,,,,,---...---,,,,,,++++++++++++++++++++++++++++++++++++...+++***---222444222...(((((()))*********************+++++++++,,,,,,,,,)))(((((()))+++---,,,+++))))))))))))***+++------+++'''&&&******'''''',,,(((((()))***************)))************+++++++++))))))))))))))))))))))))))),,,***###!!!(((,,,,,,'''(((***++++++***)))((())))))(((((((((((())))))***)))((()))******(((&&&###$$$%%%&&&(((***,,,---((()))***+++++++++++++++%%%%%%$$$$$$%%%%%%&&&'''((((((''''''''''''((((((%%%%%%'''((((((((('''&&&$$$(((***)))&&&&&&***...DDDSSS<<<%%%000000&&&111......---------,,,,,,,,,++++++******)))((((((((()))))))))))))))(((666555444444444444333222222111000//////000111222000000111222333333444444666555444333333444555666333444444444555555666666999888777777777777777888333333333444444555555555888888777777666666666666444444444555666777888999666555444444333333333333555444444333333444444555000000111111222222222333222222333333333444444444333444444555555444444333444444444555555666666666333444444555555444444333555555555555555555555555333333444444444555555555555555555555555555555555444555555555444333333222333333333333333333333333111222333444555444333333555444444444444555666666444444444444444444444444222222222222222222222222666666666666777777777777444444333333333222222222666666555555555444444444555555666666666555333222444444444333333222222222111111111111111111222222444333333222222333333444333222222222111000000000111000000000111222333333333222111222333333222000111111111111111111111111333333222111111222222333333333333222222111111111000000000000///////////////000000000000//////...---......///////////////000000000000111111111111222111111111000000//////000///...---------------111000000///...---------////////////////////////////////////////////////---...000111111000//////............////////////------............------------,,,,,,,,,,,,++++++******+++++++++,,,,,,,,,......//////......---,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,++++++************++++++222,,,&&&'''---333777888))))))***+++,,,,,,,,,,,,))))))(((((()))+++...///---------,,,,,,+++++++++''''''(((((())))))******(((((())))))******++++++******+++++++++,,,,,,,,,******+++,,,,,,,,,,,,+++++++++++++++++++++++++++''''''((((((((((((''''''))))))))))))(((((((((((())))))((('''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))((((((%%%'''''''''&&&&&&''')))222333222---&&&$$$'''++++++***)))(((((('''(((((()))))))))))))))))))))))))))+++,,,+++***)))***+++***,,,//////---***((((((''''''''''''((((((((()))((((((((((((((((((444333222222333444333111222222111000000111222222111111222333333444555555777666555444444555666777777777888888888999999999:::999888777666666666666444444444444444444555555777777777666666555555555444444444555555666777888555555444333333333333333333333222222222222333333000111111111222222222333222222333333333444444444333444444444444444444333333333333333444444444444333333444444444444333333444444444444444444444444111222222222222333333333555555555444444444444444444555555555444444333222222222222222222222222222111222333444444444333222666555555555666666777777666666666666666555555555555555555555555555555555555555666666666777777777666666666555555555444444666666666666555555555444444555555666555444333222555555555444444444444444222222222222222333333333333333222222222222333333333333333222222222222222222222222222222333444444444333222333555555333111222222222222222222222222333333333333333333333333444444444333333333222222222222222111111111000000111111111111000//////...---...//////000000/////////000000111111111111111111111111111000000000/////////...---------------111000000///......------////////////////////////////////////////////////......///000111111111111............////////////------............------.........---------,,,,,,+++,,,,,,,,,------------......//////......---,,,------------------------...---------------------,,,,,,++++++++++++,,,,,,------///444::::::666111++++++,,,,,,,,,++++++***+++***))))))***,,,///000---------,,,,,,+++++++++++++++++++++,,,,,,,,,,,,))))))))))))******************+++++++++,,,,,,,,,******+++,,,,,,,,,,,,+++++++++++++++++++++++++++(((((())))))))))))((((((((((((((())))))))))))***++++++***)))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))((((((&&&'''''''''&&&''')))+++,,,...000///,,,***)))******))))))(((((((((((())))))))))))))))))))))))))))))***+++***))))))***+++)))+++......,,,)))(((''''''''''''((((((((())))))((((((((((((((((((555444333444555666555444333222222111111222222333333333444444555555666666888777666555555666777888999999999:::::::::::::::;;;:::999777666555444444555555555555444444444444666666555555555555555444444444444555555666666777555444333333333333333333222111111000000111111222111111222222222222222333222333333333333444444444333333444444444444333333333333333222222222222222222222333333333333222222333333333333333222222222000000000000111111111111444444444444444444444444444555555555555444333333333333333333333333333333000111333444444444333222444444444555555555666666555555555555555555555555777777777777777777777777555555555555666666666666888888777777777666666666666666666666555555555555333444444444444333333222555555555555555666666666444444444444444333333333222222111111111111222222333333333333333444444444444333333333333444444555444333333444555666444333333333333333333333333333333333444555555555444333555555444444444444333333444333333333333222222222222222222222111000///...---...//////000000/////////000000111111111111111111111111111000000000000111000000///////////////111000000//////......---////////////////////////////////////////////////////////////000111222333............////////////------............------/////////............---------------...............////////////...------------------------------/////////......---------------,,,,,,,,,,,,------+++...444:::>>>;;;333,,,------------,,,+++***))),,,+++++++++,,,---///000------,,,,,,,,,,,,++++++---------------,,,,,,,,,***************)))))))))******+++++++++,,,,,,,,,******+++,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,))))))************))))))((((((((()))******++++++++++++***))))))))))))***((((((((((((((((((((((((((((((((((((((((((((((((((())))))******))))))(((((((((((('''&&&(((+++......,,,)))((())))))((('''))))))((((((((()))******))))))))))))))))))))))))((()))******(((((()))***(((***,,,---+++(((''''''''''''((((((((()))))))))((((((((((((((((((888777666777999::::::999444444444444444444444444555555666666777777777777999888777666666777888999888888888888888888888888:::999888777666555555555777777666666555555444444555555555555555555555555444555555555666666555555444444333333333333333444222222111111111111222222333333333333333333333333333333333444444444555555333444444555555444444333444444444333333222222111222222333333333333222222222222222222222111111111000000000111111111222222333333333333444444444444444444555555555555444444444444444444444444444444000111333444444444333222111111222333333333333333333333333333333444444444555555555555555555555555444555555555666666666666777777666666666555555555555555555555444444444333333333333333333333333222444444444555555666666777444444444444333333333333222111111000000111111222111222222222333333444444444333333333333333444444333333222333555555444333333333333333333333333333111222444666666555333222444444444444444333333333444444333333333222222222333333333222222000///.........///000000000000000///000111222222222111111111111111000000000000000333222222111111111222222000000000000//////......////////////////////////////////////////////////000/////////000111333555............////////////------............------/////////.........------,,,------------.........///////////////...------------------------------//////......------,,,,,,------,,,,,,,,,,,,---------...///333555444000,,,,,,,,,------,,,++++++***++++++++++++,,,---...///,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******))))))+++++++++******)))))))))******+++++++++,,,,,,,,,******+++,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,,,,++++++******************************)))((((((''''''(((((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))******))))))))))))))))))(((''')))---000>>>444((("""###'''))))))(((((((((((()))***++++++))))))))))))))))))))))))''')))***)))((('''((()))''')))++++++)))''''''''''''(((((((((((()))))))))((((((((((((((((((:::999888999;;;<<<<<<;;;777777777777777777777777888888888888999999999999:::999888888888888999:::888888888888888888888888888777777777777888888999999888888888777666666666666666666666666666666666555666777777777666555444555444444333444444555555555444444333333444444555555555555555555444444444444555555555666666666666555555555666666555555555666666555555444444444333333333444444444444333333333333333222222111111111222222333333333444444444333333333444444555555555444444555666666555555444444444444444444444444444111222333444555444333333111222333444444444333333333333333444444555555555444444444444444444444444555555555666666666666777444444444444333333333333444444444333333333222222333333333333333333333333333333444444555555555666444444333333222222222111222111111000000111111222000000111111222222333333333333222222222222333333222111111222444444333222222222222222222222222222///111333444555444222111222222222222222333333333222222222222111111111111333333333222222000//////...//////000000000000000///000222333333333111111000000000000000000111111111111111000000111222222000000000000000/////////////////////////////////////////////////////////000//////...///111333444............////////////------............------.........------------,,,,,,,,,,,,,,,------------//////000000//////...---------------------------------------,,,,,,++++++,,,,,,++++++++++++,,,,,,---,,,,,,---......,,,+++***+++,,,---------------******+++++++++,,,------,,,,,,,,,,,,,,,,,,,,,,,,++++++******)))))))))(((,,,,,,++++++******))))))******+++++++++,,,,,,,,,******+++,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,++++++,,,,,,++++++******))))))******)))(((((((((((((((************************************************))))))************))))))*********))))))***---000DDD999,,,&&&'''+++,,,+++))))))((())))))***+++,,,************************''')))***)))((('''((()))''')))******(((''''''((((((((((((((()))))))))***))))))))))))))))));;;999999999;;;<<<;;;:::999::::::;;;;;;::::::999:::::::::::::::::::::;;;<<<;;;:::999999:::;;;<<<;;;;;;;;;;;;::::::::::::888888888888999:::;;;;;;::::::::::::999999999999777777888888888888999999777888888999888777555444555555555555555555666777888777777666666777777888777777777777777666666666666666777777777888888888666666777777777777666666777777777666666666666666555555666666666666555555555555444444333333222222555555555555666666666666333444444555555666666666444444555666666666666555222222222222222222222222222333555666666555555444555555777888888888777666666666666777888888999999777777777777777777777777666666666666777777777777444333333333222222222222444444444333333333333222444333333333333444444555444444444444444555555555444444333333222222111111222222111111111111222222111111111111111111222222444333333222222222222222111000000222444444333222111111111111111111111111///000222333444333333222111111222222222222333333111111111111000000000000111111111222111111000///...///000000111111000000///000222444444333222111000000000000111111111111..................///000000000000000000000000000///////////////////////////////////////////////////////////////000000111............////////////------............------.........---------,,,,,,+++,,,,,,,,,,,,---------///000000000000///......------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,))),,,///111111...+++)))***+++,,,---............***+++++++++,,,,,,,,,,,,++++++,,,,,,,,,,,,------,,,,,,,,,,,,+++++++++++++++++++++++++++***************+++++++++,,,,,,,,,******+++,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,++++++,,,,,,,,,+++++++++******,,,,,,+++************+++************************************************)))******++++++******))))))+++++++++******+++---333...)))))),,,---***&&&******)))))))))***++++++************************((()))******(((((()))***''')))******((('''((()))((((((((()))))))))******))))))))))))))))))===<<<;;;;;;<<<===;;;:::<<<<<<===>>>>>>===<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;::::::;;;<<<<<<=========<<<<<<<<<;;;;;;:::::::::999::::::;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<999:::::::::;;;;;;;;;;;;999999:::;;;:::888666555666666666666666777888888999999888888888888999999::::::999999999888888888888888888999999999::::::888888999999999999888888666666777777777777777777777777888888888888777777777777666666555444444444666666777777777888888888444444555666666777888888444444555666666666666666555555555555555555555555444444666777777777666555666777999;;;;;;:::999888777777777888999:::::::::888888888888888888888888777777777777888888888999555555555555444444444333666666555555555444444444444444333333333444666666666666666555555555555555555555555444333222222222333333222222222222333333222222222222222222111111555555444333333333333333111111111222555555444333222222222222222222222222111111222222333444444555222222222333333333444444222111111111000000000000//////000000111111000000//////000111111111111000///000333444555333222000///000000000111111111111...............///000000000000000000000000000000////////////////////////////////////////////////...////////////......---............////////////------............------/////////............---------------............000000000000000///......------------------------++++++,,,,,,---.........------,,,,,,,,,,,,------***---000111111///---,,,,,,,,,---------------,,,+++,,,,,,---------------+++++++++,,,,,,---------,,,,,,,,,---------------***++++++++++++++++++,,,******+++++++++,,,,,,,,,******+++,,,,,,,,,,,,+++------------------------++++++,,,,,,,,,,,,++++++******++++++,,,------...---,,,++++++******++++++++++++++++++++++++++++++++++++++++++++++++++++++)))******++++++******))))))+++---,,,+++))))))***'''%%%%%%'''******(((%%%++++++******)))*********************************)))***+++***))))))***+++((()))******)))((()))***(((((()))))))))*********))))))))))))))))))AAA???>>>>>>??????>>><<<===>>>???@@@@@@???>>>==================<<<<<<<<<===<<<;;;::::::;;;<<<=========<<<<<<;;;;;;;;;:::===<<<;;;;;;::::::::::::;;;<<<<<<<<<======>>>>>>;;;;;;;;;<<<<<<=========::::::;;;<<<;;;999666555777777777777777888999999::::::999999999999::::::;;;;;;;;;::::::999999999999999:::::::::;;;;;;;;;999999999::::::999999999555555666666777777888888999999::::::::::::999999999888888777666666555555777777777777888888888888555555555666777888888999444444555666777777666666999999999999999999999999444555777888888888777666555777999:::;;;:::888777555666666777888999999999777777777777777777777777777888888888999999999999777777777777666666666666888777777777666666666666555444444333444555666777888888777777666666555555777777666555444444333333444333333222222333333444444444444333333222222222777666555444444444444444222222222333666777666444333333333333333333333333333333222333333555666777333333333444444555555555222222222111111111000000---...///000000111111000//////000111111111111111///000333555555444222000//////000000111111111222111111000000111222333333000000000000000111111111////////////////////////////////////////////////......///000///---,,,***............/////////000---..................---000000000000////////////............/////////000000000000000000//////...------------------------+++,,,,,,---...///000000.........------...............---,,,+++,,,///111............---,,,++++++------......///.........+++++++++,,,,,,---------+++++++++,,,,,,---------*********++++++,,,,,,---******+++++++++,,,,,,,,,******+++,,,,,,,,,,,,+++------------------------***++++++,,,,,,++++++***'''((()))+++---///000111+++***))))))((()))))))))++++++++++++++++++++++++++++++++++++++++++++++++******++++++++++++******)))+++------+++)))(((''',,,***(((''')))+++---...,,,,,,+++***)))))))))***************************)))+++,,,+++***)))***+++((()))+++***)))(((***+++))))))))))))************))))))))))))))))))@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@????????????@@@@@@======<<<;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;<<<======;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<============>>>999999999999:::;;;<<<=========<<<;;;;;;;;;<<<<<<<<<;;;;;;:::999888777777:::::::::999999999999888888888888888888888888888888888888777777777777777777777777777777777777777666666666666555555555555999888888888777777666666777666666666888999888777999;;;======;;;:::999:::999999999::::::;;;;;;;;;888888888888888888888888999888888888777777666666777777888999999999999888888888888888888888888888999888777555555555666777777777777777777777777777999999999999999:::::::::888888888888888888888888:::999999999888777777777444555555555666666777777888888888777777777777777777777666555444444333333444555555555555555444444333333333444444444555555666555555444444666777888777777777777666666666666333444444555555666666666444444555666666555444444555555555555555555555555333333333333333333333333333333222111000000000000333333333333222111000000222333333333333222111111000222444555444333333333444333222222444444333222111111111111111222222222//////000000111111111222111111000000000000111111////////////////////////......---......///000111//////000000000000//////////////////////////////////////////000000000000,,,---000111222111000///////////////////////////........................,,,---...//////...---,,,///...---,,,,,,,,,,,,,,,,,,,,,.../////////......+++//////+++***///222000******+++,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,)))************+++++++++++++++++++++++++++++++++...---+++******---///111------------------------,,,,,,,,,------.........++++++,,,,,,---...//////...------,,,++++++++++++))))))***+++,,,,,,------,,,++++++******++++++,,,))))))************))))))************************,,,,,,+++***)))))))))***)))))))))******+++++++++,,,,,,,,,++++++*********,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++***)))(((((())))))))))))******************))))))))))))@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@????????????@@@@@@>>>>>>======<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<======;;;;;;;;;;;;;;;;;;;;;;;;=========>>>>>>>>>??????;;;;;;;;;;;;<<<===>>>???===<<<;;;;;;::::::;;;;;;;;;::::::999999888888888:::::::::999999999888888999999999999999999999999999999999999999999888888999999999999999999999999777777777777888888888888999999999888888888777777:::888888888:::;;;:::999999;;;<<<<<<:::999999999888888999999999:::::::::999999999999999999999999999999888888888777777777777777888999999999999888999999999999999999999999;;;:::888777777777888888999999888888888888888888999999999999999999999999999999999999999999999999999999999999888888888888666666666666777777777888666666666666666666666666777777666666555444444333555555666666666666555555555555555666666666777777666666555555555666777888777777777777777777777777555555555555555666666666444444555666666555444444555555555555555555555555666666666666666666666666666555555444444444444555444444444444444333333222444444444444444333222222222333555555444444444666555444333333444555444333222222222222222111111111000000000000111111222222222222111111111111222222000000000000000000000000//////////////////000111//////000000000000///////////////////////////////////////000000000111111...///000111111111000///////////////////////////...........................//////000000//////...///...------,,,,,,------.........---......//////,,,000000++++++///000---,,,,,,------......//////------------------------+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,---///...,,,***)))***------------------------,,,------------------...++++++,,,------...//////------,,,,,,+++,,,,,,,,,******++++++,,,,,,------.........---------------+++++++++,,,,,,+++++++++++++++++++++++++++++++++,,,+++******************+++++++++,,,,,,,,,---------------,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++***)))))))))))))))))))))*********+++*********))))))***@@@@@@@@@@@@AAAAAAAAAAAA@@@@@@????????????@@@@@@??????@@@@@@???===<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<======;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<=========>>>>>>>>>;;;;;;;;;;;;<<<===>>>???;;;;;;:::999999999999:::999999999999999999999999::::::999999999999888888::::::::::::::::::::::::999:::::::::::::::::::::::::::::::::::::::::::::888888999999::::::;;;;;;:::::::::::::::999999999<<<;;;:::;;;=========<<<999:::<<<;;;:::888888999888888888888999999999999::::::::::::::::::::::::999999999999888888888888777888999999::::::999999::::::::::::::::::::::::<<<;;;;;;::::::::::::;;;;;;:::::::::999999888888:::::::::999999888888888999999999999999999999999888999999999999999::::::777777888888888888999999777777777777888888888888888888777777666555555555555666666777777777666666777777888888888999999999777777666666777777888999777777888888888888888888777777777666666666666666444555555666666555555444666666666666666666666666888888888888888888888888666666666666777777777777444444555666666666666555555555666666555555444333444555666555444444666888666555444444666666555444444444333333222222111111000111111111111222222222222222222111111222222222222222222222222222222222222111111000000000000111///000000111111000000//////////////////////////////000000000000111111111111111111111111000000000////////////////////////////////////////////////111111000000000000111111///......------------...000///...------...///000---//////,,,,,,......+++......//////////////////////////////////////////,,,---------....................................000666;;;;;;555...++++++,,,,,,,,,,,,,,,,,,,,,,,,.........---------------,,,,,,,,,---......//////,,,,,,,,,,,,,,,,,,---...,,,,,,,,,,,,,,,,,,,,,,,,...////////////...---,,,------------------------+++++++++++++++++++++++++++************++++++,,,------------..................------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++******))))))))))))*********+++++++++************+++,,,@@@@@@@@@AAAAAAAAAAAAAAAAAA@@@@@@??????@@@@@@AAA@@@AAABBBBBBAAA???===;;;<<<<<<<<<<<<<<<<<<<<<<<<;;;<<<<<<===============<<<<<<<<<<<<<<<<<<<<<<<<:::::::::;;;;;;;;;<<<<<<999999999999999:::;;;<<<;;;::::::999999999999999888888999999:::::::::;;;::::::::::::999999999999999999999999999999999999999999999999::::::::::::::::::::::::::::::::::::888888999:::;;;<<<<<<===<<<<<<;;;;;;;;;;;;;;;;;;===<<<;;;<<<>>>???>>>===:::<<<===<<<:::999:::;;;999999999999999999999999;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::999999999999999:::;;;;;;<<<;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;<<<<<<<<<;;;::::::999999<<<;;;;;;:::999888777777::::::::::::::::::::::::888999999999::::::;;;;;;999999999::::::::::::::::::::::::;;;;;;;;;;;;;;;999888888888777777777666666777777888888888888888888999999999999:::::::::888888888888888999999:::888888888888999999999999999999888888777777666666555666666666666666666555888888888888888888888888666666666666666666666666444444555666666666666666333444555666777777777777555555666666555555444333555555555444333444666999777555555555777888777666666555555444333222111111222222222222222222222222222222111111111111222222222222222222222222222222444333222111111111111111000000000111111000000000000000000000000000000000000000000111111111222222444333222111000000111111000000000000000000000000////////////////////////222111000//////000111222//////...............///000000//////////////////------------...///...,,,//////////////////......////////////////////////---------.........//////........................222:::BBBAAA999111...///,,,,,,,,,,,,,,,,,,,,,,,,//////......------,,,,,,,,,---------......//////,,,,,,,,,,,,,,,---...///------------,,,,,,,,,,,,------.........---,,,+++........................,,,,,,,,,,,,,,,,,,,,,,,,************++++++,,,------------...............---------------,,,,,,,,,++++++,,,,,,,,,,,,------,,,,,,,,,++++++******************+++++++++,,,,,,*********+++,,,---@@@@@@AAAAAAAAABBBBBBBBBAAAAAA@@@@@@@@@@@@AAAAAAAAABBBCCCCCCBBB@@@>>>===????????????????????????<<<===>>>?????????>>>>>>========================;;;;;;;;;<<<<<<<<<======:::999999999999::::::;;;<<<;;;::::::999999::::::999999999:::;;;;;;<<<<<<;;;;;;;;;;;;::::::::::::999999999999999999999999888888888888999999::::::::::::::::::::::::::::::888888999999:::;;;<<<<<<<<<<<<<<<<<<<<<<<<=========<<<;;;<<<>>>>>>>>><<<===>>>>>>===<<<;;;<<<===;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::;;;;;;;;;;;;;;;<<<======>>>>>>======<<<<<<<<<<<<<<<<<<<<<<<<::::::;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<;;;;;;::::::===<<<<<<;;;:::999999888;;;;;;;;;;;;;;;;;;;;;;;;999999::::::;;;;;;;;;<<<;;;;;;;;;;;;;;;:::::::::::::::;;;;;;<<<<<<<<<===:::999999999999999888888777888999999:::::::::999888888999999999:::::::::999999999:::::::::::::::999999999999::::::;;;;;;:::::::::999999888888888777777777777777777777777999999999999999999999999666666666666666666666666333444555666777777666666222333444666777777777777555555555555555444333333444444444333222333555888777666555666888999888777777666666555444333222222333333333333222222222222222111111000000111111222222222222222222222222222555444333222222222222222000000111111111111000000111111111111111111111111111111111111222222222222555444333222222222222222111111111111111111111111000000000000000000000000222111000//////000111222/////////......//////000...///111222222000///...///,,,+++---///000///.../////////.......................................------------.........///---------------------------444:::999222,,,---///------------------------/////////......---------------...............///,,,,,,,,,,,,---......///......------------------.........//////.........///...------------...///,,,,,,,,,,,,,,,,,,,,,,,,+++*********+++,,,---------------,,,,,,,,,,,,,,,+++++++++++++++,,,,,,,,,+++++++++,,,,,,---------,,,,,,,,,+++++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++,,,---@@@@@@AAAAAABBBBBBCCCCCCAAAAAA@@@@@@@@@@@@AAAAAAAAAAAABBBCCCBBBAAA@@@???@@@@@@@@@@@@@@@@@@@@@@@@>>>???@@@AAABBBAAA@@@?????????????????????????????????@@@@@@@@@AAAAAAAAA>>>===============>>>>>>======<<<;;;;;;;;;;;;<<<;;;;;;;;;<<<<<<===============<<<<<<<<<;;;;;;;;;::::::::::::::::::::::::777777888888999999::::::::::::::::::::::::::::::888888999999::::::;;;;;;<<<<<<<<<==================<<<;;;<<<===>>>>>><<<>>>??????>>><<<<<<===???<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<===>>>>>>??????>>>>>><<<<<<<<<<<<<<<<<<<<<<<<999999:::;;;;;;;;;;;;:::;;;;;;;;;;;;;;;;;;<<<<<<=========<<<<<<;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<:::;;;;;;;;;;;;;;;;;;<<<<<<<<<;;;;;;;;;;;;::::::888888999999::::::;;;;;;::::::::::::::::::::::::888999:::;;;;;;;;;;;;;;;888888999999999:::::::::999:::;;;<<<<<<<<<<<<;;;999999::::::;;;;;;<<<<<<;;;;;;;;;::::::::::::::::::999999888888999999:::::::::::::::::::::::::::999999999999999999999999666777999::::::999888888333444555666777888888888555555555666555444444333333444555444333333555777777555555666888999999888777777666666555555444444444444444333333333333222222222111111111111222222333333333333333333333333444333333222222222222333000111111222222111111000111111111111111111111111111111222222222333333333444444444444444333333333111111111111111111111111000000000000000000000000111111000000000000111111000////////////000000111...///111222222222111000444...+++...000000///000.........///////////////////////////////////////------........./////////........................+++///333222...+++---000......................../////////.......................................------------------...///........................000000000000111222333444///...---,,,,,,---...///------------------------,,,++++++++++++,,,,,,---,,,,,,,,,,,,++++++++++++******++++++++++++,,,,,,***++++++,,,,,,------...,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,---------++++++++++++,,,---@@@@@@AAAAAABBBCCCCCCDDDBBBAAAAAA@@@@@@AAAAAABBB@@@@@@AAAAAAAAAAAABBBBBB@@@@@@@@@@@@@@@@@@@@@@@@???@@@BBBCCCDDDCCCBBBAAAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBCCCCCCCCCCCCAAAAAA@@@@@@@@@@@@AAAAAA@@@???>>>>>>======>>>>>>============>>>>>>>>>>>>>>>>>>>>>>>>============<<<<<<<<<<<<<<<<<<<<<<<<888888999999:::;;;;;;<<<;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::::::::::::::<<<<<<<<<<<<======>>>>>>===<<<<<<<<<>>>???>>>===>>>??????===;;;;;;===???<<<<<<<<<;;;;;;:::::::::::::::::::::::::::::::::;;;;;;<<<<<<<<<=========;;;<<<======>>>>>>======<<<<<<<<<<<<<<<<<<<<<<<<999:::;;;<<<<<<<<<;;;;;;999::::::;;;;;;<<<<<<===>>>>>>>>>>>>====================================<<<<<<<<<<<<;;;;;;;;;;;;<<<<<<<<<;;;;;;:::::::::777888888999::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;999999:::;;;<<<======<<<999999999:::::::::;;;;;;:::;;;<<<=========<<<<<<999::::::;;;<<<<<<======;;;;;;;;;;;;;;;<<<<<<<<<<<<;;;::::::::::::;;;<<<;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::::::::::::::999:::;;;<<<<<<;;;999888666666777888999999888888666666777777666666555444333555666666555555555777666555444666888999999888666666666666666666666666555444444444333333333333444444444333333444444444444444444444444444444444222222222222222222333444000111111222222111111000222222222222222222222222222222222333333333333444222333555555666555444444222222222222222222222222111111111111111111111111111111222222222222111111000000//////000000111222000000/////////222444555;;;222,,,...000///...000...//////000000111111111000000000000000000000000/////////000000000000111////////////////////////...000111111000000111222000000000000000000000000............////////////////////////............///......------------...------......//////000000111000//////000333666888000...---,,,,,,---...000------------------------------,,,+++++++++,,,,,,,,,,,,,,,,,,+++++++++***+++++++++,,,,,,,,,------******+++,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,+++++++++++++++@@@@@@AAAAAABBBCCCDDDDDDBBBAAAAAA@@@@@@AAAAAABBB@@@@@@@@@@@@@@@BBBCCCCCC????????????????????????@@@AAACCCEEEEEEDDDCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBAAAAAAAAABBBBBBBBBCCCCCCBBBBBBAAAAAA@@@AAAAAAAAAAAA@@@@@@???????????????????????????>>>>>>>>>>>>????????????>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>999999::::::;;;<<<==============================;;;;;;;;;;;;;;;;;;::::::;;;<<<<<<<<<======>>>>>>>>>=========???@@@???>>>>>>>>>>>><<<::::::<<<>>>;;;;;;;;;::::::999999999::::::::::::::::::::::::;;;<<<<<<<<<======>>>>>>:::;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<999:::<<<=========<<<<<<888999999:::;;;<<<======>>>>>>>>>>>>????????????>>>>>>>>>>>>>>>>>>>>>>>>=========<<<;;;;;;;;;:::<<<<<<;;;;;;;;;:::::::::999999::::::;;;<<<======;;;;;;<<<<<<<<<<<<<<<<<<999:::;;;<<<============:::::::::;;;;;;;;;<<<<<<:::;;;===>>>>>>>>>===<<<::::::;;;;;;<<<===>>>>>>:::;;;;;;;;;<<<============<<<;;;::::::;;;<<<===<<<<<<<<<<<<<<<<<<<<<<<<::::::::::::::::::::::::999:::;;;<<<<<<:::888777888888999:::::::::999999888888888888888777666666333555888999888666666777555444444555888999888777666666666666777777777777555555555444444333333333666666555555555555666666666666666666666666666666111111111111222333333444111111222222222222111111222222222222222222222222222222333333333444444444111333555777777666555444222222222222222222222222111111111111111111111111222222444555555444222222000000///000000111222222333111---+++---111666:::AAA666...///000---,,,...//////000111222333333444111111111111111111111111000111111111111222222222000000000000000000000000//////000111111111000000000000000000000000000000------......//////000000///////////////.........000///...---------------,,,------...///000111111///...,,,,,,...111666888111///...------...///111...........................------,,,++++++++++++---------,,,,,,+++++++++,,,,,,,,,------.........******+++,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......,,,,,,+++*********EEEDDDCCCDDDFFFFFFEEECCCDDDDDDDDDDDDCCCCCCCCCCCCCCCBBBAAA@@@AAABBBDDDFFFCCCAAA???@@@CCCDDDBBB@@@AAAAAAAAABBBBBBBBBBBBBBBCCCBBBBBBBBBAAAAAAAAAAAADDDCCCCCCBBBBBBBBBCCCCCC@@@@@@@@@AAAAAAAAABBBBBBAAA@@@???>>>>>>???@@@AAA@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@???>>>===<<<<<<<<<<<<<<<===>>>???@@@@@@???>>>================================================<<<<<<<<<<<<============<<<<<<===>>>>>>>>>>>>>>>===<<<;;;:::::::::::::::;;;;;;::::::::::::;;;;;;===<<<;;;;;;<<<<<<;;;::::::;;;<<<===============??????===<<<:::999999999;;;;;;;;;;;;;;;;;;;;;:::999999:::;;;<<<<<<;;;;;;>>>===<<<;;;:::999999999;;;<<<<<<<<<======>>>>>><<<<<<;;;;;;:::::::::999<<<<<<<<<<<<<<<<<<<<<<<>><<<<<<===<<<:::888:::999999888999:::;;;===:::BBBCCC<<<999======888:::::::::;;;;;;;;;<<<<<<========================>>>>>>>>>>>>>>>>>>>>>>>>>>>??????>>>======???AAA===<<<<<<;;;:::999999999;;;<<<;;;999888:::<<<===<<<;;;;;;;;;999777:::???;;;::::::999:::;;;<<<===888999999:::;;;;;;;;;;;;999999888999;;;<<<;;;;;;999888777666666777888999888999:::::::::999888777777777777777777777777777777666666666666777777888777666666666555555555555555555555666666666777777777777777666555555444444555555444444444666888999777666444333222333444444111000///000222333222111111111111000111222222333666666666555444444444333222333333444444333333222333333333333333333333333222222222222222222222222222333333333333444444444333222111//////222777<<>>>>>==================>>>>>>============>>>>>>@@@???>>>>>>@@@@@@@@@>>>??????@@@AAAAAAAAAAAAAAA@@@??????>>>>>>>>>>>>>>>========================<<<<<<=========>>>>>>>>>>>>>>>===============>>><<<<<<<<<=========>>>>>>>>>>>>>>>>>>======<<<<<<>>>>>>>>>===============>>>===<<<=========;;;999<<<<<<<<<<<<<<<===>>>>>>888AAAGGGCCC<<<888888888<<<<<<<<<=========>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>???????????????????????????@@@@@@???>>>>>>@@@BBBAAA@@@???>>>===<<<;;;;;;777;;;======<<<;;;:::999:::999:::???CCCCCCAAA???===<<<<<<;;;<<<===>>>???:::;;;;;;<<<<<<<<<<<<;;;;;;:::::::::;;;;;;;;;:::999999999:::;;;<<<===>>>999::::::;;;;;;:::999999888888888888888888888888999888888777777777888888777777666666666555555555444444555555555666666666777666666666666666555555555444444444444555666666777666555444333444444555222111000111333444333222111111111111111222333333333444444444444444444444444444555555555555444444333333333333333333333333333333333333333333333333333333333222222111111111222222111000///222666:::III888,,,///333000...111222111111111111222333333111111222333333333333222222222222222222333333333222222111111000000111111222222111000000111222222111000000000/////////...111111111111111111111111111111000///000000222222////////////////////////111000//////////////////000000/////////................................./////////.........------///...---,,,++++++++++++++++++,,,,,,------......------------------------...//////000000000000000//////.........---------,,,,,,,,,,,,,,,,,,,,,,,,...---,,,,,,,,,,,,LLLKKKJJJJJJKKKKKKIIIGGGEEEEEEFFFFFFGGGGGGHHHHHHJJJJJJIIIHHHHHHIIIKKKLLLLLLJJJIIIJJJKKKLLLKKKJJJJJJJJJJJJIIIIIIHHHHHHHHHIIIIIIHHHHHHHHHGGGGGGGGGGGGFFFFFFFFFFFFFFFGGGGGGGGGGGGGGGGGGHHHHHHHHHHHHHHHGGGGGGFFFFFFGGGGGGHHHCCCCCCCCCCCCCCCCCCCCCCCCFFFFFFFFFFFFFFFFFFFFFFFFDDDDDDDDDDDDDDDEEEEEEFFFDDDEEEEEEFFFFFFFFFFFFEEEDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCCCCCCCDDDDDDDDDEEECCCCCCDDDEEEEEEEEEEEEDDD@@@@@@@@@@@@@@@@@@AAABBBBBBBBBAAAAAAAAAAAABBBBBBCCCBBBBBBCCCEEEFFFEEEDDDCCCCCCDDDDDDEEEEEEDDDDDDAAAAAAAAAAAAAAABBBCCCDDD>>>>>>??????@@@@@@AAAAAAAAA@@@?????????@@@AAABBB@@@@@@@@@@@@@@@AAAAAABBB>>>???????????????@@@@@@AAAAAAAAAAAA@@@@@@@@@@@@?????????>>>>>>=========>>>===<<<===>>>???===;;;???@@@@@@AAAAAAAAAAAA@@@===DDDMMMOOOEEE:::999>>>????????????@@@@@@@@@@@@????????????????????????@@@@@@@@@@@@@@@@@@@@@@@@???@@@@@@???>>>???AAADDDFFFEEEDDDBBBAAA???>>>>>>999<<<>>>???===>>>AAAEEEAAA<<<999<<>>>>>>>>>>>??????@@@==================<<<;;;<<<<<<;;;;;;;;;;;;;;;;;;999999:::;;;;;;<<<======:::;;;;;;<<<<<<<<<;;;;;;::::::::::::::::::::::::;;;;;;:::999888888888888777777777777666666666666333333444444444555555555666666666666777777777777555555555555555444444333777666555555444555555555444333222333555555555444222222222222222333333444222222333333444555555555555555666666666666555555444444444444444444444444555555555555555555555555555555444333222111000000000111111111000222444777BBB555...111555222000111333333222222333333444555111222222333333333333333333333333333222222222222222222222222333333333333444333222222222222333444222111111111111111111111222222222222222222222222333222111111000000111111////////////////////////111111000///............000000000000////////////////////////////////////...///000000000///---,,,......------,,,------...++++++,,,---...///000000........................,,,---......///......---/////////.........---------------------------------------,,,------MMMLLLKKKKKKLLLKKKJJJHHHFFFFFFGGGHHHIIIJJJJJJKKKIIIIIIHHHHHHHHHHHHIIIJJJKKKKKKJJJKKKKKKKKKKKKKKKMMMLLLLLLKKKKKKJJJJJJIIIKKKKKKJJJJJJJJJIIIIIIIIIGGGGGGFFFFFFFFFGGGHHHHHHFFFFFFGGGGGGGGGGGGHHHHHHFFFFFFEEEEEEEEEEEEFFFFFFCCCCCCCCCCCCCCCCCCCCCCCCEEEDDDDDDDDDDDDDDDCCCCCCDDDDDDDDDEEEFFFGGGHHHHHHFFFFFFGGGGGGGGGGGGGGGGGGEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDEEEEEEEEEFFFFFFDDDDDDEEEFFFFFFFFFFFFEEEBBBBBBAAAAAABBBCCCDDDDDDEEEEEEDDDDDDDDDDDDEEEEEEFFFEEEEEEFFFHHHIIIIIIHHHDDDDDDEEEEEEFFFEEEEEEDDDCCCCCCCCCCCCCCCDDDEEEFFF??????@@@AAABBBCCCCCCCCCDDDCCCAAA@@@@@@BBBDDDEEECCCCCCBBBBBBBBBBBBBBBCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB@@@@@@??????>>>=========>>>======???@@@AAA@@@>>>AAABBBCCCDDDDDDCCCBBBAAAAAACCCJJJPPPJJJ===;;;BBB@@@@@@AAAAAAAAAAAABBBBBBAAAAAAAAAAAAAAAAAAAAAAAA@@@@@@@@@@@@@@@@@@@@@@@@???@@@@@@???>>>???BBBDDDIIIHHHGGGEEECCCBBB@@@???@@@???>>>======CCCQQQ___YYYQQQEEE======@@@@@@<<>>>>>>>>>>>===<<<;;;;;;;;;;;;<<<;;;;;;<<<>>>???<<<<<<<<<===<<<<<<<<<;;;;;;<<<<<<===============;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<:::999888888888888888888888777777777666666333333444444444555555555555555666777777888999999666777777777777555333222555555555555555555555555555444333444666777666555333333333333333444444555444444444555555555555555555555555666666555555555444444444444444444444444555555555555555555555555666666555555444333222222000111222222111111333444@@@666000111444222111222333333222222333333444555111222333333444444333333444444444333333222222111111222222333444444444444444111111333333111111444222222222222333333333333222222222222222222222222222222222222111222222222000000000000000000000000000000///....../////////111111111000000000//////////////////////////////...///111111111000...,,,...---------......///000......//////000000000111........................,,,,,,,,,---...///111111////////////............------------------------------------...///LLLKKKJJJJJJKKKKKKIIIGGGGGGHHHHHHIIIJJJKKKLLLLLLHHHHHHHHHGGGGGGGGGHHHHHHJJJKKKKKKKKKJJJJJJKKKKKKLLLLLLKKKKKKKKKJJJJJJJJJKKKKKKKKKJJJJJJJJJIIIIIIGGGGGGFFFFFFGGGHHHHHHIIIFFFFFFGGGGGGGGGHHHHHHHHHEEEEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCBBBBBBBBBCCCCCCCCCDDDEEEFFFHHHHHHGGGFFFFFFFFFFFFFFFFFFFFFDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDCCCDDDDDDDDDDDDEEEEEEEEECCCCCCDDDEEEEEEEEEEEEDDDCCCBBBBBBBBBCCCDDDEEEEEEFFFEEEEEEDDDDDDEEEEEEFFFGGGFFFEEEGGGIIIJJJJJJIIIFFFFFFGGGGGGGGGFFFFFFEEEDDDDDDDDDCCCCCCDDDDDDEEE@@@AAAAAABBBCCCDDDDDDEEEFFFDDDCCCAAAAAABBBDDDEEEGGGFFFEEECCCBBBAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCBBBBBBAAAAAAAAA@@@@@@??????AAACCCDDDCCCAAABBBCCCDDDEEEEEEDDDBBBAAA@@@<<<>>>FFFEEE===;;;@@@@@@@@@AAAAAAAAABBBBBBBBBCCCCCCCCCCCCCCCCCCCCCCCCBBBBBBBBBBBBBBBBBBBBBBBB>>>?????????>>>???BBBDDDJJJIIIHHHFFFDDDBBBAAA@@@CCCAAAAAAAAA@@@FFFXXXjjjmmmjjj^^^LLLAAA@@@BBBAAA>>>>>>>>>>>>>>>>>>>>>>>>===============<<<;;;:::888:::;;;;;;<<<>>>BBBEEE?????????????????????@@@<<<<<<<<<======>>>>>>>>><<<<<<<<<<<<<<<<<<<<<<<<<<<;;;:::999888777777777999888888888888777777777444444555555555666666666555666666777888999::::::888999999999888777555333444444444555555555444444666555555555777888777666444444444444444555555666999888888777666555555444444444555555555555444444555555555555555555555555444444444444444444444444333333444444444444444444000222333333222111222333@@@999222000000000111333333222222222222333444444222222333444444444444333555444444333333222222222111111333444444444444333222///000555555000///222222222333333444444555555222222222222222222222222000111111222333444444444111111111111111111111111.........///000111222333222111111111111000000000000000000000000000000000///000111222222000...---............///000111111333333222222111111000000////////////////////////111000//////111555999<<<000000/////////.............................................///000KKKJJJJJJKKKLLLMMMKKKIIIIIIIIIJJJJJJKKKKKKLLLLLLIIIIIIIIIIIIHHHHHHHHHHHHJJJLLLMMMLLLKKKJJJKKKMMMJJJJJJJJJJJJJJJJJJJJJJJJKKKJJJJJJJJJJJJIIIIIIIIIGGGGGGGGGGGGHHHIIIJJJJJJIIIIIIIIIIIIJJJJJJJJJJJJGGGGGGHHHHHHHHHHHHGGGGGGFFFFFFFFFFFFFFFFFFFFFFFFGGGGGGGGGFFFFFFEEEEEEDDDDDDDDDDDDDDDEEEFFFGGGHHHHHHGGGFFFFFFEEEEEEFFFFFFDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEEEEEEEEEEBBBCCCDDDDDDEEEEEEDDDDDDDDDDDDDDDCCCDDDDDDEEEEEEFFFFFFEEEEEEEEEEEEFFFFFFGGGFFFFFFGGGIIIJJJIIIHHHHHHHHHHHHIIIHHHHHHGGGFFFDDDDDDCCCCCCCCCDDDDDDEEECCCCCCCCCDDDEEEEEEEEEFFFFFFEEEDDDCCCCCCCCCDDDEEEIIIHHHFFFDDDCCCAAAAAAAAAAAAAAA@@@@@@@@@@@@??????AAAAAAAAAAAABBBBBBBBBBBBFFFFFFFFFFFFFFFFFFFFFFFFCCCBBBBBBDDDFFFFFFEEEDDDCCCDDDDDDDDDDDDCCCBBBBBBBBB===<<>>===>>>>>>>>>>>>===<<<<<<<<<===============<<<;;;777999;;;<<<<<>>@@@AAA<<<<<<<<<<<<===>>>??????========================;;;;;;:::999888888888888999999999999888888888777666666777777777888888888666777777888999:::::::::::::::::::::999888666666444444555666666666555555777666555666777888888666555555555555555666666777;;;;;;:::888777666555444444444444555555444444444666666666666666666666666555555555555555555555555111222222222333333333333222444555444222222222444===999444000//////222555333222222222222333444444222222333444444444444444444444444444333333333333111222444555555444333333222///222::::::222///222222222333444444555666666222222222222222222222222000000222333444555555555111111111111111111111111......///000111333444555222222222222111111111000000000000000000000000000000111222222222111///...000/////////000111111222555555444333222111000000000000000000000000000000000///......000444999<<<000000000/////////......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@@@@@@@@@@@@@@@AAAAAABBBBBBBBBBBBEEEEEEFFFFFFGGGGGGHHHHHHFFFFFFEEEFFFHHHHHHGGGEEEEEEEEEDDDCCCCCCCCCCCCCCCBBBEEEEEECCCDDDFFFFFFCCCBBBBBBBBBBBBCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCAAABBBCCCBBBBBBCCCFFFHHHIIIIIIHHHGGGFFFDDDDDDCCC???@@@DDDGGGBBB@@@PPPfffqqqxxxrrr\\\HHHAAA???<<<===>>>?????????>>><<<;;;======>>>>>>???>>>>>>>>>888;;;======<<>>???<<<<<<;;;;;;<<<===???@@@========================;;;;;;:::::::::::::::;;;::::::999999999888888888999999999999::::::::::::888888888999999:::::::::::::::999888777777777777555666777888999888888777777666555666777888888666666666555555666666777888:::999999888777666555555555555666666666666555555666666666666666666666666666666666666666666666666555555555555444444444444555666666444222222333555666777666222000111333555444444444333444444555666222333444444555444444444333333333444444444444444444555666777777555444333555222777AAAAAA777222555111111222333555666666777333333333333333333333333111222333444555555444444222222222222222222222222111111111111222333444555333333222222222111111111111111111111111111111111222222111111111000000000111111000000000111111222333333222222111111000000000000000000000000000000,,,,,,---...///111222333000000000000/////////...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@@@@@@AAACCCEEEGGGIIIJJJIIIIIIIIIIIIIIIIIIHHHHHHGGGHHHHHHHHHHHHGGGFFFEEEIIIHHHGGGGGGFFFFFFFFFFFFEEEEEEDDDDDDCCCCCCCCCBBB@@@AAAAAAAAABBBBBBCCCCCCBBBBBBCCCDDDEEEFFFGGGGGGIIIHHHGGGHHHIIIIIIHHHFFFGGGFFFDDDCCCCCCCCCDDDEEE===GGGKKKDDD@@@DDDDDD@@@CCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDCCCDDDEEEDDDDDDEEEHHHKKKIIIIIIHHHGGGFFFFFFEEEEEEBBB@@@AAABBB===???UUUooo|||tttZZZFFFBBBCCC@@@>>>???@@@@@@???>>>===<<<===>>>???@@@@@@@@@@@@@@@:::<<<>>>===<<<>>>DDDJJJVVVRRRLLLEEEAAA@@@@@@AAA<<<;;;;;;;;;<<<===???@@@========================<<<<<<;;;;;;;;;<<<<<<===:::::::::999999999888888::::::;;;;;;;;;<<<<<<<<<888999999999999::::::::::::999777666666666777888777888999:::;;;;;;:::999777555555666777888777666666666666666666777888888777777777777666666666666666666777777777777666666777777777777777777777777777777777777777777777777;;;;;;:::999888777666666777777666444222222444666000444666555333444555555555555555555555666777777222333444444555555444444333333333444444555555555666777888999888777555333888555<<>>>>>?????????@@@@@@@@@DDDDDDDDDCCCCCCDDDDDDDDDBBBBBBBBBBBBBBBAAA@@@???AAA@@@@@@???>>>======<<<>>>======<<<<<<<<<=========<<<<<<<<<<<<;;;;;;;;;<<<<<<============<<<<<<>>>>>>>>>>>>>>>>>>>>>>>>;;;;;;::::::::::::;;;;;;;;;::::::999999::::::;;;999999999999::::::;;;<<<;;;;;;;;;::::::::::::999999888666777999::::::999;;;:::999999999:::<<<<<<;;;::::::999999888888888888888999999999:::::::::<<<;;;;;;::::::;;;;;;<<<::::::::::::::::::::::::;;;;;;;;;;;;;;;:::999888777888999:::999888666444444555555555666666777777999888555333333444666777555555555555555555555555777555222333555777555444555555555555555555555555555555444444444333333333222222222333333444444444555555555444444333333333777777777777666555444333555555555555555555555555222333444666777777888888555444333333333333444555444444333222222333333333222222222333333444444444666333111222444555333000111333444444333111111111000000222333333333333333111111000000//////......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___SSSOOOLLLFFFCCCDDDBBBBBBBBBBBBCCCCCCCCCCCCCCCBBBBBBAAAAAABBBBBBCCCAAAAAAAAAAAAAAA@@@??????@@@@@@??????>>>>>>===============<<<<<<===>>>>>>>>>>>>>>>=========<<<<<<===>>>>>>??????>>>>>>===???????????????????????????>>>===============>>>::::::999999999999:::::::::::::::::::::;;;<<<<<<;;;;;;;;;::::::999999999999888666777999::::::999:::999999888999:::;;;<<<::::::::::::999999999999999999999999::::::::::::::::::999999999999::::::::::::::::::::::::::::::::::::;;;;;;::::::999888888999:::;;;:::999777666666666666666777777777888888888888888888777666666555555555555555555555555777555333333666777666444888888888888888888888888555555555444444444444333555555666666666777777777222222333333444555555666666666666666666555444333444444444444444444444444444444555666777777777777555555444333333444555555444444333333333333333444222222333333333333333444666444222222444555333111111333555555333111111222444444444444333222111111000111111111111111111111222222111111000000000000111111222333333222111111111111111222222222OOOOOOOOOOOOOOONNNMMMLLLKKKLLLLLLLLLLLLMMMMMMMMMJJJKKKLLLMMMOOOOOOOOOOOOMMMMMMMMMMMMNNNNNNOOOPPPOOOOOONNNMMMMMMMMMNNNNNNMMMMMMMMMMMMNNNPPPQQQRRROOOOOOOOONNNNNNNNNMMMMMMNNNNNNNNNNNNMMMMMMMMMLLLLLLLLLLLLLLLKKKJJJIIIIIIJJJKKKKKKLLLLLLKKKKKKJJJHHHHHHGGGGGGHHHHHHIIIJJJGGGGGGGGGHHHHHHHHHIIIIIIJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJIIIIIIIIIIIIJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJHHHHHHHHHGGGGGGFFFFFFFFFFFFFFFGGGGGGHHHHHHIIIIIIGGGHHHHHHIIIIIIIIIHHHHHHJJJJJJKKKKKKLLLLLLMMMMMMKKKKKKLLLMMMMMMMMMMMMMMMLLLLLLLLLLLLKKKJJJIIIIIIFFFGGGGGGGGGGGGGGGGGGGGGGGGFFFFFFEEEFFFGGGIIIIIIGGGGGGGGGGGGFFFFFFFFFFFFIIIIIIIIIIIIJJJJJJJJJJJJIIIIIIHHHHHHGGGFFFEEEEEEDDDDDDDDDDDDDDDDDDDDDDDDCCCDDDDDDEEEEEEEEEEEEEEEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFGGGGGGGGGFFFFFFGGGGGGFFFFFFEEEDDDFFFFFFEEEEEEDDDDDDDDDCCCBBBBBBBBBBBBBBBBBBBBBBBBCCCCCCDDDDDDEEEFFFFFFFFFHHHGGGFFFEEEDDDDDDEEEEEEGGGGGGFFFFFFGGGGGGHHHIIIEEECCCEEEIIIGGGEEEMMMYYYOOOHHHCCCCCCEEEDDDCCCDDD@@@@@@@@@AAAAAAAAABBBBBBAAA@@@@@@??????@@@@@@AAA???@@@@@@@@@@@@???>>>>>>??????>>>>>>>>>>>>>>>>>>===============>>>???@@@????????????>>>>>>>>>>>>??????@@@@@@@@@@@@??????????????????????????????AAA@@@???>>>>>>>>>>>>>>>;;;::::::999999::::::;;;;;;;;;;;;;;;;;;<<<<<<===<<<<<<;;;:::999999888888999888777777999::::::999888888888888888999:::::::::::::::::::::;;;;;;;;;999999999:::::::::;;;;;;999888888777777888888999999999999999999999999999:::::::::::::::999999888999:::;;;<<<;;;:::999888777777888888888888999999777999;;;======;;;888555666666666666666666666666888666444555666777666666666666666666666666666666666666666555555555444444444444444555555555555555000000111333555666777888444555555555555555444444444444444444444444444444555666666777777666666555555555444333333444555555444444333333333444444555333333333333333333222222666444333333444444333222222444555555333222222333555555555555444333222111000111111222333333444444222222222111111111111000000111222222222222111000000000111111111222QQQQQQQQQQQQQQQPPPOOOOOONNNNNNNNNOOOPPPQQQQQQRRRNNNNNNPPPQQQQQQRRRRRRRRROOOOOONNNNNNNNNPPPQQQRRRRRRRRRRRRQQQQQQQQQRRRRRRRRRRRRRRRSSSSSSTTTUUUVVVRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRQQQQQQQQQQQQNNNOOOOOOOOONNNNNNMMMLLLMMMMMMMMMMMMMMMMMMMMMMMMKKKKKKKKKKKKKKKLLLMMMMMMIIIIIIIIIJJJKKKLLLLLLMMMMMMMMMMMMMMMMMMMMMMMMMMMLLLLLLLLLKKKKKKLLLLLLLLLMMMMMMMMMMMMMMMMMMMMMMMMNNNMMMMMMLLLKKKJJJIIIIIIHHHHHHIIIIIIJJJJJJJJJJJJHHHIIIIIIIIIJJJJJJJJJJJJKKKKKKKKKLLLLLLMMMMMMMMMLLLLLLMMMNNNNNNNNNNNNMMMKKKKKKKKKKKKKKKJJJIIIIIIGGGGGGGGGGGGGGGGGGHHHHHHHHHGGGFFFFFFFFFGGGHHHIIIGGGGGGGGGGGGGGGGGGFFFFFFHHHIIIIIIJJJKKKKKKLLLLLLJJJJJJIIIHHHGGGGGGFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEEEEEEFFFFFFFFFFFFFFFEEEFFFFFFFFFFFFFFFFFFFFFFFFEEEEEEEEEFFFGGGGGGGGGHHHFFFFFFFFFFFFFFFEEEEEEDDDFFFEEEEEEDDDDDDCCCCCCBBBAAAAAAAAAAAAAAAAAAAAAAAACCCCCCDDDDDDDDDEEEEEEEEEGGGFFFDDDCCCBBBCCCEEEFFFHHHGGGGGGGGGGGGHHHIIIIIIKKKGGGGGGJJJHHHDDDEEEJJJGGGCCCAAABBBCCCCCCBBBBBB@@@@@@@@@@@@AAAAAAAAAAAA@@@@@@@@@??????@@@@@@@@@>>>???????????????>>>>>>>>>>>>>>>???????????????=========>>>???@@@AAABBB????????????>>>>>>>>>>>>??????@@@@@@@@@@@@??????????????????????????????@@@@@@???>>>===============<<<<<<;;;;;;<<<<<<=========<<<<<<<<<======>>>===<<<<<<;;;:::999888888:::888777888999;;;::::::888888888888888999999::::::::::::;;;<<<<<<<<<===::::::::::::;;;;;;;;;;;;999999888888888888999999999999999999999999999999999999::::::::::::999999::::::;;;;;;;;;::::::999999999999:::::::::::::::777999<<<>>>>>><<<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>>>???@@@@@@@@@@@@???????????????@@@@@@@@@@@@@@@>>>>>>>>>???@@@AAABBBCCC?????????>>>>>>>>>======>>>??????@@@@@@??????>>>????????????????????????@@@@@@???>>>>>>>>>>>>>>>@@@??????>>>>>>??????@@@??????>>>>>>===>>>>>>???======<<<<<<;;;::::::999;;;:::999999;;;<<<<<<;;;888999999:::::::::::::::;;;;;;;;;<<<=========>>>::::::;;;;;;;;;<<<<<<<<<:::::::::999999:::::::::999999999999999999999999999::::::;;;;;;;;;::::::999999::::::::::::::::::;;;;;;;;;;;;;;;:::::::::999999:::;;;;;;::::::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@@@@@@AAABBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA@@@@@@@@@@@@@@@AAABBBCCC?????????>>>>>>>>>>>>===?????????@@@@@@?????????@@@@@@@@@@@@@@@@@@@@@@@@AAAAAA@@@@@@@@@AAAAAABBBBBBAAAAAA@@@@@@AAAAAABBBAAA@@@@@@???????????????>>>============<<<<<<<<<===<<<:::;;;===>>>>>>===::::::;;;<<<<<<<<<<<<<<<===============>>>>>>>>>;;;;;;;;;<<<<<<<<<======<<<;;;;;;::::::;;;;;;<<<:::::::::::::::::::::::::::;;;;;;<<<<<<<<<<<<;;;999999::::::::::::;;;;;;<<<<<<;;;;;;;;;;;;:::::::::999999888999999:::;;;999999999999999999999999888999:::999888777999;;;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@@@@@@@@@????????????@@@@@@AAAAAAAAAAAA@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@????????????@@@AAABBBCCCBBBBBBAAAAAAAAAAAABBBBBBBBBBBBAAA@@@@@@@@@@@@@@@>>>>>>>>>>>>>>>????????????>>><<<===>>>@@@??????<<<===>>>?????????>>>>>>???>>>>>>>>>>>>>>>======;;;<<<<<<<<<============<<<<<<;;;;;;;;;;;;<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<===>>>>>>======;;;;;;:::;;;;;;<<<<<<===<<<<<<<<<;;;;;;:::::::::999999999999::::::;;;;;;::::::::::::::::::::::::999:::;;;:::888777999<<<777777777777777777777777:::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@@@@@@AAABBBBBBCCCCCCBBBBBBAAA@@@@@@@@@@@@@@@@@@@@@@@@<<<<<<<<<===>>>???AAAAAABBBAAAAAA@@@@@@AAAAAABBBCCCBBBAAAAAA@@@@@@@@@@@@>>>>>>>>>???@@@@@@AAAAAA@@@???===>>>@@@AAAAAA@@@===>>>@@@AAAAAAAAA@@@???@@@@@@??????>>>>>>======<<<<<<<<<<<<=========>>><<<;;;;;;::::::;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<===>>>>>>???>>>>>><<<<<<<<<<<<<<<===>>>???<<<<<<;;;;;;;;;:::::::::999999;;;<<<<<<<<<;;;;;;::::::::::::::::::::::::999;;;<<<;;;888888:::<<<:::::::::::::::::::::::::::::::::999999999888888;;;;;;;;;:::::::::999999999999999999999999999999999999999999888666555555777777777777777777777777777777888888888888777777444555666777777666555444555555555555666777999999777777888888999999::::::666888999888555444555777999999999777555555777999555666777888888999999999333333444444555666666666333333333444444555555555555555333333333333555555333333333444444444AAA???AAAEEEEEEAAA@@@AAAEEEEEEDDDDDDFFFFFFFFFEEECCCCCCDDDFFFIIILLLLLLKKKGGGJJJMMMLLLKKKKKKMMMPPPNNNKKKKKKOOOPPPNNNMMMNNNMMMKKKJJJMMMQQQSSSQQQNNNOOOOOOOOOOOOPPPQQQQQQRRRPPPOOONNNNNNNNNMMMKKKIIIMMMJJJHHHGGGHHHIIIJJJJJJLLLKKKKKKJJJIIIHHHGGGGGGFFFIIIMMMNNNMMMKKKJJJJJJJJJHHHFFFGGGKKKMMMMMMLLLKKKKKKJJJJJJJJJKKKLLLLLLJJJIIIIIIJJJKKKLLLLLLKKKGGGHHHIIIGGGEEEDDDEEEGGGFFFHHHFFFBBBBBBEEEFFFDDDJJJFFFCCCBBBDDDEEECCCAAAGGGCCCBBBEEEFFFDDDCCCEEEDDDCCCBBB@@@@@@BBBCCCEEECCCCCCCCCEEEFFFGGGFFFEEEEEEGGGHHHEEEBBBAAADDDGGGFFFEEEEEEFFFHHHIIIHHHGGGFFFJJJNNNNNNLLLJJJJJJLLLJJJKKKLLLMMMNNNOOOPPPQQQMMMLLLKKKMMMOOOPPPPPPOOOKKKLLLLLLMMMMMMLLLKKKJJJKKKKKKLLLKKKJJJIIIJJJKKKMMMKKKIIIHHHHHHHHHFFFDDDIIIHHHGGGHHHIIIIIIHHHGGGEEEIIIJJJHHHHHHKKKJJJFFFFFFIIILLLLLLJJJGGGEEEDDDIIIHHHFFFEEEEEEGGGHHHJJJJJJJJJIIIGGGEEECCCAAA@@@FFFCCC@@@???@@@BBBDDDDDDDDDCCCCCCCCCEEEFFFEEEDDDGGGGGGHHHIIIIIIGGGFFFEEEJJJJJJIIIHHHGGGFFFFFFEEEHHHGGGFFFFFFGGGHHHGGGFFFFFFGGGGGGFFFEEEDDDFFFHHHBBBCCCEEEEEEDDDDDDEEEFFFGGGDDDCCCDDDFFFFFFCCC@@@BBBCCCDDDEEEEEEDDDCCCCCCAAAAAAAAABBBBBBBBBCCCCCCAAAAAABBBBBBBBBAAAAAAAAAAAACCCDDDFFFFFFDDDCCCAAA===>>>???@@@AAAAAAAAAAAA???>>>===<<<<<<===>>>???AAA@@@???@@@BBBDDDDDDDDD>>>>>>???@@@BBBBBBAAA???GGGDDDAAA@@@@@@BBBCCCCCCDDDAAA@@@@@@CCCDDDBBB???======>>>???@@@AAABBBCCC@@@?????????>>>>>>>>>>>>@@@>>><<<;;;;;;<<<>>>???<<<<<<===>>>>>>======<<<======<<<<<<<<<;;;;;;;;;???>>>>>>>>>============@@@@@@??????????????????>>>>>>>>>>>>>>>>>>>>>>>>AAA???===<<<;;;<<<===>>><<<===>>>??????>>>===<<<============<<<<<<<<<<<<===============<<<<<<;;;========================<<<;;;999::::::;;;999888:::999:::===;;;777777:::999999999999999999999999:::::::::999999999888888::::::999999888777777666888888888888888888888888888888888777777777777666888999:::;;;;;;:::999888888999999999888777555444888888777666555555666666666777888999999999999999777777888888888888777777777666666666555555555555555555444444444333333333444444444444444444GGGEEEFFFJJJKKKGGGFFFHHHGGGFFFFFFEEEEEEEEEDDDCCCEEEDDDCCCDDDFFFHHHHHHGGGGGGJJJLLLLLLJJJJJJLLLOOOKKKHHHHHHKKKKKKIIIHHHJJJOOOLLLJJJIIIKKKLLLMMMMMMOOOPPPQQQSSSTTTUUUVVVVVVWWWTTTRRRPPPQQQQQQQQQPPPQQQOOOMMMMMMNNNPPPQQQQQQLLLLLLKKKJJJIIIGGGGGGFFFEEEHHHKKKLLLKKKHHHGGGGGGJJJHHHGGGHHHKKKLLLKKKIIIGGGFFFDDDDDDEEEGGGIIIJJJIIIHHHGGGHHHJJJKKKJJJHHHIIIHHHGGGFFFDDDDDDDDDDDDCCCEEEEEECCCCCCGGGHHHFFFGGGEEEDDDFFFHHHHHHFFFDDDCCCBBBCCCEEEDDDAAAAAAEEEFFFEEECCCCCCBBBCCCDDDEEECCCCCCDDDDDDFFFFFFEEEEEEDDDGGGJJJIIIFFFEEEFFFGGGFFFFFFGGGHHHIIIKKKMMMNNNRRRVVVYYYYYYVVVTTTTTTVVVTTTTTTSSSSSSSSSSSSSSSSSSPPPPPPOOONNNLLLKKKJJJJJJOOOOOONNNNNNNNNNNNNNNMMMLLLKKKJJJGGGEEEEEEFFFGGGDDDCCCBBBCCCEEEFFFFFFEEEEEEEEEEEEEEEGGGHHHHHHGGGHHHJJJJJJGGGGGGKKKLLLIIIIIIKKKMMMMMMLLLKKKKKKLLLLLLKKKIIIHHHHHHIIIJJJKKKKKKLLLLLLKKKJJJIIIHHHGGGKKKHHHFFFFFFGGGIIIIIIIIIGGGFFFEEEGGGIIIJJJJJJIIIHHHIIIJJJJJJJJJJJJIIIHHHGGGGGGFFFFFFFFFFFFFFFFFFHHHFFFEEEFFFGGGGGGFFFEEEFFFGGGGGGEEECCCBBBCCCDDDFFFFFFFFFDDDBBBAAABBBCCCGGGFFFDDDEEEFFFFFFDDDAAAAAABBBDDDEEEEEEEEEDDDCCCCCCCCCCCCCCCCCCCCCDDDDDDFFFFFFFFFFFFFFFEEEDDDCCC@@@AAABBBCCCCCCBBBAAA@@@BBBBBBCCCCCCCCCBBBBBBBBB@@@???>>>======>>>???@@@@@@>>>======>>>???>>>===AAA@@@???@@@AAACCCCCCCCC???>>>======>>>??????>>>===<<<:::<<<>>>@@@???>>>?????????@@@AAAAAABBBBBBAAABBBCCCCCCDDDDDDDDDDDDAAA@@@?????????@@@BBBBBB@@@@@@AAAAAAAAA@@@@@@???@@@@@@?????????>>>>>>>>>??????>>>>>>>>>>>>>>>>>>????????????????????????>>>>>>>>>>>>>>>>>>>>>>>>@@@???===<<<<<<<<<===>>>======>>>??????>>>===<<<<<<>>>@@@BBBBBB@@@>>><<<===>>>>>>>>>>>>===<<<<<<===========================<<<;;;;;;<<<<<<;;;999<<<<<<>>>BBB@@@;;;:::===::::::::::::;;;;;;;;;;;;::::::::::::999999999999888888999999999999999999::::::::::::::::::::::::999999999888888888777777999999::::::::::::999999::::::::::::999888777666999888888777777666777777777777888999999999999999777777888888888888777777777777666666666555555555777777777666666555555555666666666666666555KKKIIIJJJNNNNNNKKKKKKMMMHHHHHHGGGFFFEEEDDDCCCCCCEEECCCAAAAAABBBDDDDDDDDDEEEHHHKKKJJJIIIHHHKKKNNNNNNKKKKKKNNNOOONNNOOOSSSQQQNNNKKKKKKOOOTTTXXXYYY\\\]]]___aaaaaaaaa```___bbb___[[[XXXXXXYYYYYYXXXVVVSSSQQQPPPQQQRRRRRRQQQPPPOOOMMMKKKJJJIIIHHHHHHEEEHHHJJJKKKIIIGGGFFFFFFIIIIIIIIIJJJLLLKKKIIIGGGIIIFFFDDDDDDEEEFFFFFFFFFFFFEEEDDDEEEGGGHHHGGGFFFFFFDDDBBBAAAAAA@@@???>>><<>>CCC@@@@@@???>>>>>>>>>>>>>>>@@@@@@@@@@@@AAAAAAAAAAAA@@@EEEIIIIIIFFFCCCCCCCCCEEEGGGHHHHHHGGGJJJOOOTTTRRRVVVYYYYYYWWWTTTUUUVVVUUUTTTTTTSSSRRRQQQPPPPPPYYYZZZ[[[XXXSSSPPPPPPQQQSSSRRRPPPOOOOOONNNLLLJJJMMMLLLKKKJJJJJJKKKMMMNNNDDDBBB@@@@@@AAABBBBBBBBBCCCCCCDDDDDDEEEEEEFFFFFFHHHJJJIIIEEEFFFKKKNNNMMMIIIJJJJJJJJJJJJJJJMMMOOOKKKJJJIIIHHHGGGHHHHHHHHHIIIIIIJJJKKKKKKKKKKKKKKKJJJIIIHHHHHHIIIJJJIIIHHHJJJIIIHHHJJJLLLMMMMMMLLLJJJJJJKKKKKKLLLKKKKKKJJJEEEEEEEEEEEEFFFFFFGGGGGGGGGFFFFFFGGGHHHIIIIIIHHHFFFGGGGGGEEEBBB@@@@@@AAADDDDDDCCCAAA>>>>>>???AAAEEEDDDCCCCCCDDDCCCAAA???>>>@@@BBBDDDEEEEEECCCBBBEEEDDDDDDDDDCCCCCCDDDDDDCCCDDDDDDDDDCCCBBBAAAAAAEEEEEEFFFFFFFFFFFFEEEEEEAAAAAAAAA@@@???>>>>>>===@@@???>>>======>>>???@@@DDDBBBAAAAAABBBBBBBBBAAA>>>===<<<<<<<<<>>>@@@BBBAAABBBCCCDDDDDDDDDCCCBBBCCCAAA@@@@@@BBBCCCCCCBBB>>>?????????@@@@@@@@@AAA===>>>@@@BBBCCCCCCCCCBBBBBBAAAAAA@@@@@@@@@AAAAAA@@@@@@@@@@@@@@@???>>>>>>????????????>>>>>>>>>>>>>>>>>>>>>>>>????????????????????????????????????>>>>>>>>>>>>>>>>>>>>>>>>@@@???===<<<<<<===>>>>>>>>>>>>??????>>>===<<<;;;;;;>>>CCCFFFFFFCCC???;;;???????????????>>>==============================>>>===<<<<<<===>>><<<;;;===>>>AAAFFFDDD>>><<<===;;;;;;;;;<<<<<<=========;;;;;;:::::::::999999999777888888999:::;;;;;;<<<;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::999999999999::::::999999999999::::::<<<;;;:::999999999999999999999999999888888888888777888999999999999999999777777888888888888777777777777777777666666666666777777777777666666666666555555555555555555LLLIIIIIIMMMMMMKKKKKKNNNLLLMMMMMMLLLKKKJJJJJJKKKKKKIIIHHHHHHKKKNNNOOOPPPLLLOOOSSSSSSRRRSSSVVVYYYZZZXXXYYY]]]^^^^^^aaafff```\\\ZZZbbbooo{{{~~~zzzxxx~~~{{{xxxwwwuuussspppfffccc^^^[[[YYYWWWTTTRRRVVVUUUSSSPPPNNNMMMLLLLLLFFFIIIKKKLLLKKKIIIIIIJJJJJJKKKMMMNNNOOONNNLLLKKKLLLJJJJJJKKKLLLJJJFFFCCCFFFEEECCCCCCDDDEEEDDDCCCDDDBBB??????AAAAAA@@@>>>;;;>>>@@@???@@@DDDDDDBBBCCCCCCCCCCCCDDDEEEEEEDDDAAA???@@@CCCCCC@@@???AAA@@@??????>>>======<<<<<<======>>>>>>======>>>???>>>AAAEEEFFFCCCBBBBBBDDDGGGIIIKKKJJJIIILLLTTT[[[___bbbggggggeeedddeeeffffffffffffeeeeeeeeeeeeeeeeeeiiilllkkkeeebbbdddgggooommmkkkiiigggbbb[[[VVVPPPPPPQQQTTTWWWYYYZZZZZZRRROOOJJJFFFDDDCCCBBB@@@CCCDDDFFFFFFFFFFFFGGGHHHGGGKKKLLLJJJMMMRRRUUUTTTOOOPPPRRRRRRQQQQQQRRRTTTRRRRRRRRRQQQPPPPPPOOOOOOOOOPPPQQQQQQRRRRRRRRRRRRNNNNNNNNNOOOPPPOOOMMMKKKOOONNNMMMMMMNNNOOONNNMMMLLLLLLLLLKKKJJJJJJIIIHHHGGGFFFFFFEEEEEEFFFGGGGGGFFFEEEEEEFFFHHHIIIHHHGGGEEEFFFGGGEEECCCAAAAAABBBBBBCCCBBBAAA@@@@@@CCCEEEDDDDDDDDDCCCCCCBBB@@@???@@@AAACCCEEEFFFFFFDDDDDDFFFFFFFFFFFFFFFEEEEEEDDDBBBBBBCCCCCCCCCCCCBBBBBB@@@@@@@@@@@@@@@@@@@@@@@@CCCBBBBBBAAA@@@@@@@@@@@@BBBAAA@@@??????@@@AAABBB>>><<<;;;<<<>>>@@@@@@??????@@@@@@??????@@@BBBCCC>>>???AAAAAA@@@?????????BBBAAA???>>>>>>=========??????@@@@@@AAAAAABBBBBB===>>>@@@BBBCCCCCCCCCBBBCCCCCCBBBBBBAAAAAA@@@@@@@@@@@@@@@@@@???>>>======@@@@@@@@@?????????>>>>>>=========>>>>>>>>>>>>???>>>>>>>>>>>>????????????========================???>>>============>>>>>>?????????>>>======<<<<<<;;;>>>BBBEEEEEECCC???<<>>>>>========================>>>===<<<<<<===>>>===<<<<<<===BBBGGGEEE???;;;<<<:::;;;;;;<<<<<<======>>>;;;;;;;;;;;;::::::::::::999999999:::;;;;;;<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::;;;:::999888888999:::;;;<<<;;;:::888888888999:::::::::::::::::::::999999888888999::::::999999999777888888999999888888777888888888777777777666666555555555555555555555555333333333333333444TTTQQQPPPRRRRRRPPPQQQTTT]]]___``````______```bbbfffeeeeeehhhmmmqqqssstttiiilllpppqqqqqqrrrvvvyyytttssstttwwwvvvtttwww|||}}}wwwvvv{{{uuupppjjjeeeaaacccaaa^^^ZZZWWWVVVUUUUUULLLNNNQQQQQQPPPPPPPPPQQQPPPRRRUUUWWWWWWVVVUUUUUUPPPQQQTTTYYY\\\ZZZSSSLLLSSSOOOKKKHHHFFFFFFDDDCCCHHHFFFEEEFFFGGGHHHHHHHHHCCCFFFFFFDDDDDDGGGHHHEEEIIIHHHFFFDDDCCCCCCDDDFFFDDD???>>>CCCFFFDDD@@@???EEEDDDCCCBBBBBBBBBBBBBBB>>>???@@@@@@??????BBBDDDDDDGGGKKKMMMNNNQQQVVVZZZ]]]```cccdddeeekkkuuu}}}wwwrrrssstttwwwzzzxxxtttppp___ZZZSSSNNNJJJIIIGGGFFFEEEHHHLLLNNNOOOQQQUUUXXX[[[aaaeeegggkkkpppqqqnnnnnnqqqtttuuutttrrrqqqppptttuuuuuuvvvuuutttsssrrrrrrrrrrrrsssrrrrrrqqqqqqlllllllllmmmnnnmmmkkkhhheeedddbbbaaabbbaaa___^^^]]]\\\[[[YYYWWWVVVUUUTTTWWWVVVTTTRRRRRRRRRSSSSSSTTTRRRPPPOOONNNMMMJJJHHHHHHIIIKKKKKKIIIHHHHHHHHHJJJKKKJJJIIIHHHHHHJJJLLLIIIJJJJJJIIIGGGFFFEEEDDDEEEEEEFFFGGGGGGFFFEEEEEEFFFGGGHHHIIIIIIHHHFFFEEEEEEEEEFFFFFFFFFFFFFFFEEECCCCCCDDDDDDDDDDDDCCCCCCFFFEEEDDDDDDDDDDDDEEEFFFCCCCCCBBBAAAAAABBBCCCCCCBBBAAA@@@AAACCCEEEEEEDDDDDDFFFGGGGGGEEEDDDEEEFFFDDDFFFGGGFFFDDDCCCEEEFFFFFFFFFFFFEEEDDDBBBBBBBBB@@@@@@AAAAAABBBCCCCCCDDDCCCDDDEEEFFFFFFFFFEEEEEEBBBAAAAAAAAAAAABBBCCCCCCAAAAAABBBBBBAAA@@@@@@???BBBBBBBBBAAAAAAAAAAAA@@@==============================>>>>>>>>>?????????========================>>>===============>>>>>>??????>>>===============;;;===>>>@@@@@@@@@>>>===@@@@@@@@@@@@@@@??????>>>>>>>>>>>>>>>>>>>>>>>>>>>===<<<;;;<<<===>>>===<<<<<<>>>CCCIIIGGG@@@<<<===:::;;;;;;;;;<<<<<<<<<===<<<<<<<<<;;;;;;;;;::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<;;;;;;;;;;;;:::<<<;;;:::999999:::;;;<<<;;;:::888777777888999:::999:::;;;;;;;;;;;;::::::999999:::::::::999999888888888999999999999888888999888888888888777777777666666666666666666666666333333333444444555oookkkhhhiiiiiiggghhhlll{{{~~~~~~|||yyywwwsssnnnkkkiiiiiiiii^^^___aaa```___]]]^^^______aaacccdddcccbbbbbbccc^^^```eeemmmtttsssllldddfff```YYYTTTRRRRRRRRRQQQRRRSSSTTTSSSRRRRRRTTTVVVRRRTTTRRRNNNNNNQQQRRRPPPTTTTTTRRROOOLLLKKKLLLMMMIIIEEEFFFJJJLLLIIIFFFFFFKKKJJJHHHGGGGGGHHHJJJKKKIIIKKKMMMLLLKKKLLLPPPTTT]]]aaagggkkkpppvvv{{{tttbbb]]]WWWSSSRRRRRRSSSSSSSSSXXX^^^cccggglllsssxxx~~~||||||{{{}}}zzzxxxwwwwwwxxxyyy{{{xxxtttpppmmmiiidddaaa\\\^^^aaaaaa```^^^^^^___^^^______]]]ZZZXXXWWWXXXXXXZZZZZZYYYVVVTTTTTTTTTRRRQQQOOONNNLLLLLLKKKKKKKKKMMMQQQTTTTTTRRROOOMMMJJJJJJJJJJJJIIIHHHGGGGGGIIIJJJLLLMMMMMMLLLJJJIIIEEEDDDCCCCCCCCCDDDEEEFFFCCCBBBAAA@@@@@@AAABBBCCCIIIGGGFFFHHHJJJLLLLLLKKKFFFHHHIIIGGGCCCBBBCCCFFFJJJNNNQQQRRRPPPOOOQQQSSSNNNPPPRRRRRRPPPMMMLLLKKKDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDD???>>>=========???BBBCCC???@@@@@@@@@AAA@@@@@@???@@@@@@????????????>>>>>>>>>>>>>>>>>>=========<<<<<<======>>>>>>?????????>>>>>>>>>>>>>>>>>>>>>>>>============>>>>>>>>>>>>>>>>>>============>>>>>>============>>>>>>???@@@???@@@@@@@@@@@@???>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>===<<<;;;<<<===>>>===<<<>>>@@@EEEJJJHHHBBB>>>???<<<<<<<<<<<<<<<<<<<<<<<<======<<<<<<<<<;;;;;;;;;=========<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;::::::::::::;;;;;;999999888888888888999999888999;;;<<<<<<;;;::::::::::::::::::::::::999888888888999999999999888888999999999999888888888777888888888888999999999999666666666777888888zzz{{{{{{xxxtttrrrqqqqqqqqqssstttrrrooonnnooopppllllllpppwwwyyyrrrrrrmmmgggccceeejjjnnnqqqkkknnnpppnnnhhhfffiiinnnmmmnnnkkkffffffjjjlllkkkppprrrtttrrrnnnkkkiiiiii```bbbgggjjjfff```aaaffffffdddbbb```aaacccgggiiijjjmmmoooooommmoootttyyy}}}wwwqqqppplllhhhfffhhhlllpppqqqrrrxxx~~~||||||}}}~~~{{{xxxxxxyyywwwtttpppllliiihhhhhhiiihhhlllrrrwwwxxxuuupppmmmhhhgggfffdddaaa___\\\[[[VVVYYY\\\^^^^^^\\\YYYVVVXXXWWWUUUSSSSSSSSSTTTUUUPPPOOONNNMMMMMMNNNOOOPPPNNNMMMNNNRRRWWW[[[]]]]]]\\\\\\YYYTTTOOONNNSSSXXXVVV]]]gggkkkkkkiiiiiijjjfffjjjlllkkkfff```\\\ZZZZZZYYYWWWUUUSSSQQQOOOOOOOOOOOONNNNNNOOOQQQSSSTTTPPPMMMHHHDDDAAAAAACCCDDDBBBBBBCCCDDDEEEEEEEEEEEEAAAAAAAAA@@@@@@@@@??????BBBAAAAAA@@@???>>>======<<<<<<======>>>??????@@@>>>>>>>>>>>>>>>>>>>>>>>><<<<<<===>>>>>>>>>>>>>>>======<<<<<<===>>>???@@@>>>>>>>>>???@@@AAAAAABBB?????????@@@???>>>>>>===>>>>>>>>>>>>>>>>>>>>>>>>>>>===<<<===???@@@???>>>>>>???DDDHHHGGG@@@===??????>>>>>>======<<<<<<;;;============<<<<<<<<<;;;<<<<<<<<<======>>>>>>???<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;;;;::::::::::::;;;;;;;;;;;;::::::999999:::::::::::::::999777999:::<<<<<<<<<:::999::::::;;;;;;::::::999888888999999::::::999999888::::::999999999888888888888888888999999:::::::::777777777888999:::|||wwwuuuvvvxxxqqqnnnnnnrrrxxxyyytttmmmuuuqqqmmmnnnuuu~~~{{{yyyvvvtttrrrrrrssssssfffeeedddccccccdddeeeffflllmmmpppwww~~~xxxpppjjjkkkssszzzxxxvvvsssppplllhhheeedddiiihhhggggggiiilllppprrrkkkfff]]]TTTNNNKKKJJJJJJLLLLLLNNNOOOPPPPPPQQQQQQIIIIIIIIIIIIHHHHHHHHHHHHEEEDDDCCCBBB@@@???>>>>>>;;;<<<<<<===>>>??????@@@>>>>>>>>>>>>>>>>>>>>>>>><<<<<<===>>>>>>???>>>>>><<<<<<<<<<<<===>>>@@@AAA???@@@AAACCCCCCDDDCCCCCC>>>????????????>>>======>>>>>>>>>>>>>>>>>>>>>>>>???>>>===>>>@@@AAAAAA???<<<===AAAEEECCC===;;;===AAAAAA@@@???>>>===<<<<<<>>>=========<<<<<<<<<<<<::::::;;;===>>>@@@AAAAAA>>>>>>>>>>>>>>>>>>>>>>>><<<<<<;;;;;;;;;:::::::::999:::<<<<<<<<<<<<:::999999:::;;;<<<<<<<<<;;;:::777888:::<<<<<<;;;:::999;;;;;;;;;;;;::::::999888888999999::::::999999888:::::::::999999999888888666666777777888888888888555666666777888999~~~|||zzzxxxuuuqqqoooppptttwwwzzz{{{|||}}}llleeeeeeffffffgggbbbeeelllvvvwwwpppooohhh___YYYYYY\\\^^^___^^^[[[VVVQQQMMMHHHCCC@@@===<<<<<<<<<<<<===>>>???AAA@@@>>>======>>>???AAA@@@AAAAAAAAAEEEIIIGGGAAAGGGGGGEEEDDDHHHNNNOOOLLLLLLOOORRRSSSSSSTTTXXX[[[XXXRRRJJJEEEDDDDDDCCCAAAAAA???>>>>>>???@@@@@@???>>>@@@>>>999999===>>>===<<<>>>@@@???===<<>>===>>>???>>>CCCBBB;;;???DDD>>>??????@@@AAABBBAAA>>><<>>=========>>>===;;;888888:::===<<<<<<<<<;;;:::888888888<<<;;;;;;<<<===>>>>>>===;;;<<<>>>@@@>>><<<<<<===;;;;;;;;;;;;;;;;;;;;;;;;<<<;;;:::;;;<<<<<<:::999>>>777444:::>>>;;;777666:::888777888;;;;;;999666;;;:::999999999999}}}}}}wwwrrrllliiiiiiiiihhhggg___\\\YYYUUURRROOOKKKHHHBBBBBBBBBAAABBBBBBBBBCCCCCCCCCBBBBBBCCCDDDFFFGGGGGGOOOXXX^^^cccfffbbb[[[ZZZ^^^aaaeeennnxxx{{{yyyxxxlllccc[[[TTTPPPSSSQQQOOOMMMLLLKKKHHHFFFOOOPPPNNNIIIGGGIIIIIIFFFDDDEEEDDDCCCBBBAAACCCDDDDDD@@@???CCCEEEBBB@@@@@@DDDBBBGGGGGGCCCHHHLLLEEEEEEAAA===;;;<<<>>>@@@AAAAAA???======>>>???>>><<<===>>>??????@@@@@@@@@AAA:::999888999:::;;;;;;;;;;;;;;;::::::;;;;;;;;;:::;;;<<<>>>>>><<<:::999:::::::::::::::::::::::::::888888::::::;;;::::::::::::<<<>>>>>><<<:::999888888777666888;;;<<<:::888999888777777777666~~~wwwqqqnnnkkkfffcccccchhhqqqxxxtttsssppplllllltttwwwrrrkkkhhhkkkqqq|||yyyzzzvvvjjjbbb^^^\\\[[[ZZZYYYXXXUUURRRWWWUUUSSSRRRQQQPPPMMMKKKEEEEEEFFFFFFFFFFFFFFFFFFFFFGGGIIIKKKOOOSSSVVVXXX___mmm~~~vvvtttrrrpppooollliiifffqqqsssqqqlllhhhhhheeeaaa___\\\YYYVVVUUUUUUTTTRRRQQQOOOQQQVVVWWWRRRMMMLLLMMMKKKSSS[[[___lllssskkkkkkcccWWWNNNKKKMMMQQQSSSQQQMMMIIIHHHKKKKKKGGGCCCBBBCCCDDDDDDCCCAAA???>>>CCC???<<<<<>>AAA@@@@@@?????????@@@@@@???BBBCCCCCCAAA@@@???????????????@@@@@@?????????<<>>>>>@@@CCC???JJJNNNEEE===<<<===<<<:::999:::;;;>>>???>>>===999999999:::::::::}}}ssskkkddd___ZZZWWWVVVTTTQQQOOORRRZZZeeemmmlllnnnnnnkkkiiippp~~~|||wwwssskkkddd\\\[[[```lll|||vvvoooppprrrqqqoooooojjjlllmmmjjjccc[[[TTTPPPQQQQQQRRRSSSRRRQQQOOONNNQQQOOONNNOOOPPPQQQPPPOOOMMMNNNPPPRRRSSSSSSSSSRRRSSSVVVZZZ```fffkkkoooqqq||||||vvvtttsssrrrooolllkkkjjjnnnsssssslllfffeeeeeedddmmmyyy}}}qqqhhhddddddfffhhh^^^ZZZWWWZZZ___```ZZZTTTYYY\\\\\\UUULLLEEEEEEGGGOOOJJJDDDBBBCCCCCCAAA>>>AAABBBBBBBBBBBBCCCDDDFFFDDDHHHIIIGGGEEEEEEDDDCCC???@@@AAABBBBBBAAA@@@???@@@BBBCCCAAA===???EEEKKKNNNZZZZZZIII===???@@@;;;;;;;;;;;;<<<===>>>======888999;;;<<<<<<===zzzzzz|||}}}}}}yyytttoookkkhhhccc```____________\\\]]]___cccjjjsss~~~zzzuuuvvvwwwwwwrrrtttvvvxxx{{{{{{}}}~~~wwwtttuuuuuurrrnnnrrrzzzrrrlllooorrrpppmmmwwwzzz|||vvvnnnjjjlllmmmjjjfffeeeeeeffffffdddaaa___^^^___bbbbbbcccdddddddddeeefffccccccbbbdddggghhhhhhgggiiilllooorrrttttttsssrrruuuxxx|||}}}{{{{{{yyyuuuyyyxxxlll\\\SSSWWW^^^XXXUUUPPPMMMMMMLLLIIIFFFFFFIIILLLMMMMMMNNNQQQSSSXXX\\\\\\VVVRRRRRRPPPKKKHHHIIIJJJKKKKKKJJJIIIHHHHHHIIIIIIGGGFFFKKKVVV___iiinnnfffQQQGGGIIIIIIAAAAAABBBBBBBBBAAA@@@?????????AAABBBAAA???>>>mmmnnnpppsssvvvvvvsssqqquuuuuuuuuwwwyyy}}}uuunnnnnnnnnmmmiiigggccc___\\\\\\```cccXXXYYY\\\___bbbccc```^^^bbbmmmxxxzzzpppeee^^^\\\eeegggfffbbb___iii|||zzzrrrkkkfffhhheeehhhttt}}}rrrmmmmmmooorrrvvvyyyzzzyyy{{{|||{{{}}}}}}yyyxxxwwwwwwxxxzzz|||}}}~~~wwwgggaaahhhrrrlllllllllkkkkkkjjjiiiiiihhhmmmsssvvvvvvvvvyyy{{{{{{zzzwwwqqqpppqqqsssttttttsssqqqpppmmmnnnnnnnnnqqqyyyqqqiiijjjhhhbbb]]]___```^^^\\\ZZZZZZZZZ```aaaaaa\\\VVVRRR|||oooddd___^^^___```]]]ZZZYYYYYYYYYWWWUUUXXX]]]bbbaaa\\\WWWUUUVVVXXX[[[[[[XXXVVV\\\kkkwww}}}yyyvvvssspppllliiijjjjjjlllttt|||~~~zzz~~~{{{zzzzzzqqqllliiiiiigggeeeaaa___]]][[[[[[]]]___aaajjjmmmnnnnnnmmmqqqxxx~~~|||~~~|||zzzyyy}}}~~~{{{}}}