BM6P6(@ <<<:::666444555555555444555444333111000//////////////////...------,,,,,,+++,,,.........,,,***))))))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%&&&&&&%%%###"""%%%%%%%%%%%%%%%$$$###"""###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$)))((('''&&&%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''&&&&&&&&&&&&'''(((***,,,---...+++*********))))))(((((())))))*********+++++++++,,,------,,,***)))***+++...------,,,,,,++++++***..................------------...///000111222222222111000//////000111222333444555666666444222000//////000000000111111111222111000///...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,............---,,,++++++***+++,,,,,,------,,,,,,---,,,,,,++++++,,,,,,------------............///,,,---......//////......---,,,,,,,,,,,,---......//////............//////000000000000000000000000222111000//////000111222111111222333333111000///333222111222444555444333111111222222222333333333555555555555666666666666555555555555555666777777======<<<<<<<<<<<<======CCCFFFKKKUUUdddxxxzzzzzzxxx~~~|||xxxooocccYYYSSSPPPMMMJJJJJJLLLNNNKKKGGGCCCBBBCCCFFFEEEEEEEEEFFFEEEBBB@@@CCCDDDEEEGGGIIIIIIGGGEEEFFFCCC@@@>>>???AAACCCCCCKKKJJJIIIHHHFFFEEEDDDCCCCCCDDDDDDEEEFFFGGGGGGGGGEEEEEEDDDCCCCCCBBBCCCCCCHHHIIIKKKLLLLLLJJJIIIGGGKKKIIIHHHFFFEEEEEEFFFFFFFFFDDDBBBAAACCCFFFIIILLLKKKIIIFFFDDDDDDFFFIIIKKKNNNLLLIIIFFFDDDCCCDDDEEEHHHHHHHHHGGGFFFCCCAAA@@@EEEDDDBBBAAABBBDDDGGGIIIJJJLLLNNNMMMIIIFFFFFFGGGKKKLLLMMMMMMLLLJJJGGGFFFGGGEEEDDDFFFJJJKKKJJJIIILLLKKKHHHEEECCCFFFKKKOOOIIIEEE@@@???AAABBBBBBAAADDDHHHKKKMMMLLLKKKJJJJJJFFFDDDAAA???>>>???@@@AAA>>>>>><<<;;;:::999999999555555555555555666777777555555555555555666777777<<<999666444555555555555555444333111000//////////////////...------,,,,,,+++,,,---......,,,+++***)))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########################$$$%%%%%%%%%%%%$$$###%%%%%%%%%%%%%%%$$$###"""###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$'''&&&%%%$$$############&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&'''''''''''''''''''''''''''''''''((()))+++,,,---************)))))))))(((******************++++++***+++,,,+++***)))***+++,,,,,,,,,,,,,,,,,,,,,,,,..................------,,,,,,---...///000111111222111000//////000111222333444666666666555333222000000000000111111111222111111000///...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------...------,,,,,,***+++,,,,,,------,,,,,,---,,,,,,++++++,,,,,,---------------............,,,------...............---,,,,,,,,,,,,---......//////............//////000000000000000000000000111111000//////000111111000111111222222111111111333222111222444555444333111111222222222333333333555555555666666666777777666666555555666666777888===<<<<<<<<<<<<<<<<<<===???@@@BBBGGGOOO\\\iiirrryyyyyyttteee^^^UUUNNNKKKIIIHHHGGGMMMOOOPPPNNNIIIFFFEEEEEEGGGFFFFFFFFFGGGGGGDDDBBBBBBBBBCCCFFFHHHHHHGGGEEEFFFDDDAAAAAABBBDDDEEEEEEJJJIIIHHHGGGFFFEEEDDDDDDDDDDDDDDDEEEFFFGGGGGGHHHFFFFFFEEEDDDDDDDDDEEEEEEEEEGGGIIIKKKKKKKKKJJJIIIKKKJJJIIIGGGGGGGGGGGGHHHFFFEEECCCBBBCCCFFFIIILLLLLLKKKIIIGGGGGGIIIKKKLLLLLLKKKIIIGGGEEEEEEDDDDDDGGGGGGHHHHHHGGGEEECCCBBBHHHFFFDDDCCCCCCEEEGGGIIIIIILLLMMMLLLIIIGGGFFFGGGJJJKKKLLLMMMLLLJJJHHHGGGGGGEEEEEEFFFJJJKKKKKKIIIKKKJJJHHHEEEDDDGGGLLLPPPLLLHHHDDDBBBCCCDDDDDDCCCDDDGGGJJJKKKJJJIIIHHHIIIFFFDDDBBB???>>>>>>@@@@@@>>>===<<<:::999999888888444555666777888777666666555555444444555555666777<<<999666444555666666555444444222111000000///////////////...------,,,,,,***+++,,,---------,,,+++)))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$#########$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''(((((((((((()))***++++++************))))))))))))++++++******************(((***+++***))))))***+++******+++,,,,,,---......------------------......++++++,,,---...///000000222111000000000000111222333444555666666666555444000000000111111111111222111000000///...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------...---------***+++,,,,,,------,,,,,,,,,,,,++++++++++++,,,,,,------------............,,,,,,---...............---,,,,,,,,,,,,---......//////............//////////////////////////////111000000//////000000111000000000000111222222333333222111222333444444222111111222222222333333333666666666666777777777777777666666666666777888888<<<<<<;;;;;;;;;;;;<<<<<>>>>>???===<<<;;;:::999888888888333444666888888777666444444444444444444555555666;;;999666444555666666555444333222111000000000000/////////...------,,,,,,)))***+++,,,,,,,,,,,,,,,)))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&#########$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$'''&&&&&&&&&'''(((((()))%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&''''''''''''''')))(((((((((((())))))************)))))))))))))))+++++++++***************'''(((******))))))***,,,+++++++++,,,,,,---------,,,,,,------------......+++,,,------//////000111111111111111111111111111111222333444444444444444111111111111111111111111000000///......---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,---............***+++,,,,,,------,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,---------.........,,,,,,---.........---------,,,,,,,,,,,,---......///......------......///........................000000000//////000000000//////......000222444555222111111111333444333222111111222222222333333333666666666777777777888888777777777777777888888999;;;;;;::::::::::::;;;;;;>>>@@@BBBBBBBBBCCCDDDFFFIIIRRR```rrrzzzooohhhddd^^^UUUNNNRRROOOLLLJJJKKKLLLOOOPPPLLLLLLMMMKKKIIIGGGEEECCCEEEDDDDDDEEEGGGHHHGGGEEE@@@??????@@@CCCDDDDDDCCCCCCBBBBBBCCCFFFGGGFFFEEEEEEEEEEEEDDDDDDDDDDDDDDDCCCBBBBBBAAABBBCCCDDDEEEDDDDDDDDDDDDDDDEEEFFFGGGCCCDDDEEEGGGIIIIIIIIIIIIEEEEEEDDDDDDCCCCCCCCCCCCGGGFFFDDDDDDEEEGGGIIIKKKLLLLLLLLLLLLLLLKKKKKKJJJFFFFFFHHHHHHGGGFFFDDDBBBCCCDDDEEEFFFEEECCCAAA???EEEEEEDDDDDDEEEGGGIIIKKKKKKLLLNNNOOOMMMKKKIIIHHHHHHHHHIIIJJJKKKKKKJJJJJJIIIIIIIIIJJJLLLMMMMMMMMMLLLLLLJJJGGGFFFGGGKKKOOONNNMMMKKKIIIGGGFFFEEEDDDDDDEEEEEECCCBBBBBBDDDFFFFFFEEECCCAAA???>>>===<<<;;;;;;:::999888777777777333444555555555555444444333333333333333444555555;;;888555444555666666666333333222111000000000000/////////...------,,,,,,)))******+++,,,,,,,,,,,,)))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&#########$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###&&&&&&&&&&&&&&&'''((()))%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&'''''''''(((((()))((((((((((((((())))))))))))))))))))))))******************************'''(((******))))))***,,,---------,,,,,,+++++++++,,,,,,,,,,,,------......------...///000111111222111111222222222222111111///000000111222222222222000000000000000000000000//////......------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,---............***+++,,,,,,------,,,,,,,,,++++++******++++++,,,,,,,,,,,,------------...+++,,,,,,---...------------,,,,,,,,,,,,---............------------......------------------------/////////000000/////////............///111444555222111000111333444333222111111222222222333333333666666666666777777777777777777777777777888888999::::::999999999999::::::888;;;>>>@@@AAA@@@AAABBBDDDDDDFFFMMM\\\rrrzzzsssmmmdddYYYQQQOOOPPPPPPOOONNNMMMKKKIIIHHHIIIJJJLLLLLLLLLKKKKKKIIIGGGEEECCCBBBAAAAAABBBDDDFFFFFFEEEAAA???===>>>@@@BBBBBBBBB@@@??????AAACCCDDDDDDCCCBBBBBBCCCCCCCCCCCCDDDDDD@@@???>>>>>>>>>???AAABBBBBBBBBBBBBBBBBBCCCDDDEEECCCDDDEEEFFFFFFGGGGGGGGGCCCCCCDDDCCCCCCCCCBBBBBBFFFFFFEEEDDDEEEFFFHHHIIIIIIIIIJJJJJJIIIHHHGGGFFFFFFGGGIIIKKKKKKIIIGGGFFFFFFGGGHHHIIIGGGDDDAAA???@@@@@@AAABBBEEEGGGIIIKKKLLLMMMOOOPPPPPPNNNKKKIIIFFFGGGHHHHHHIIIIIIIIIIIIIIIJJJKKKLLLMMMNNNOOOOOOOOONNNLLLHHHEEEEEEHHHJJJLLLLLLKKKJJJGGGEEECCCCCCDDDDDDCCCAAA??????AAACCCDDDDDDCCCAAA???===;;;::::::999888777777777777777444444333222222222333444222222222222222333333444;;;888555444555666777666333222222111000000111111/////////...------,,,,,,************++++++++++++)))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$#########$$$$$$$$$$$$##################$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''((((((((((((((('''''''''((())))))))))))))))))************))))))*********+++++++++(((***+++***))))))***+++......---,,,,,,+++******++++++,,,,,,------......------...///000111222222111111222333333222111111////////////000000000000000000////////////...............---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------...---------***+++,,,,,,------,,,,,,++++++************++++++,,,,,,,,,,,,------------++++++,,,------------------,,,,,,,,,,,,---............------------.................................//////000000//////............///000111333333222111000111222333333111111111222222222333333333555555555555666666666666777666666666666777888888999999888888888888999999777:::===??????>>>???@@@CCCAAA@@@CCCJJJUUU```gggrrr~~~rrrddd[[[YYYUUUOOOKKKJJJJJJKKKKKKLLLMMMLLLJJJGGGGGGHHHIIIMMMLLLKKKKKKKKKIIIFFFDDD@@@>>>>>>???BBBEEEEEEEEECCC@@@======>>>@@@AAAAAA???>>><<<===???AAAAAA@@@@@@@@@AAAAAABBBCCCCCCDDD???>>><<<;;;;;;<<<>>>???AAA@@@@@@@@@@@@AAAAAABBBCCCCCCCCCDDDDDDEEEEEEFFFDDDEEEEEEFFFFFFEEEEEEDDDEEEEEEDDDDDDDDDEEEGGGHHHFFFFFFFFFFFFEEEDDDCCCCCCGGGIIIKKKLLLMMMLLLKKKJJJJJJKKKMMMMMMKKKHHHDDDAAA>>>>>>???AAACCCFFFHHHIIIMMMMMMOOOQQQRRRPPPLLLHHHEEEEEEFFFFFFGGGGGGHHHHHHHHHJJJLLLLLLLLLLLLNNNPPPPPPOOOLLLHHHDDDCCCEEEGGGHHHJJJKKKJJJGGGDDDBBBBBBCCCCCCBBB@@@>>>===???@@@AAAAAAAAAAAA???===:::999888888777666666666666666444444333222222222333333111111111111111222333333:::888555444555666777777333222111111000111111111/////////...------,,,,,,++++++******************)))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%###########################$$$%%%%%%%%%%%%$$$###"""###$$$%%%%%%%%%%%%$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%&&&&&&%%%###"""######$$$$$$$$$$$$############"""""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''(((((()))'''''''''''''''((()))***((()))))))))************(((((()))***+++,,,,,,---***+++,,,+++***)))***+++,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,------......,,,------...///000111111111222222333333222222111111000000////////////000///.........------------......------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------...------,,,,,,***+++,,,,,,------,,,,,,++++++************++++++++++++,,,,,,,,,---------++++++,,,------------,,,---,,,,,,,,,,,,---.........------,,,,,,------.................................///000000///......---...///000111111111111222000000111222333222111111111222222222333333333444444444444555555555555666666555555666666777888888888888777777888888888:::;;;===>>>======???@@@BBBAAABBBDDDGGGJJJLLLMMMRRRbbbvvv~~~uuujjj___UUUNNNQQQPPPMMMJJJHHHEEEDDDCCCHHHJJJKKKJJJHHHGGGHHHJJJLLLKKKIIIJJJJJJIIIFFFCCC>>>===<<<>>>AAADDDFFFFFFEEEBBB>>><<<===>>>???@@@@@@===;;;:::<<<>>>>>>>>>>>>>>>???@@@AAABBBCCCDDD???>>>;;;::::::;;;===???AAAAAA@@@?????????@@@@@@AAAAAAAAABBBCCCEEEFFFGGGDDDEEEFFFFFFFFFFFFEEEDDDDDDDDDCCCCCCDDDDDDEEEFFFDDDDDDCCCBBBBBBAAA@@@@@@EEEFFFGGGIIIJJJJJJIIIIIIIIIJJJMMMNNNMMMIIIEEECCC???@@@@@@BBBCCCDDDEEEFFFKKKKKKMMMPPPQQQPPPKKKGGGEEEDDDDDDDDDDDDEEEEEEFFFFFFHHHJJJJJJIIIJJJLLLNNNNNNMMMKKKGGGDDDCCCDDDFFFEEEHHHJJJJJJGGGCCCBBBBBBBBBCCCBBB@@@>>>======>>>===>>>???@@@>>><<<999777777777666666555555666666333444666777777555222111111000000000000111222222:::888555444555777777777222222111111111111111111000//////...------,,,,,,,,,,,,+++***)))))))))***)))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%#########$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%&&&&&&%%%###""""""###$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%&&&&&&%%%###"""######$$$$$$$$$$$$######%%%%%%$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''((())))))&&&&&&&&&''''''(((******(((((())))))*********+++''''''(((***+++,,,---...,,,------,,,***)))***+++***++++++,,,,,,------...******+++,,,,,,---......+++,,,,,,---...///000000111222333444444333222111333222111000//////000000.........------,,,,,,,,,------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,............---,,,++++++++++++,,,---------,,,,,,++++++************++++++++++++,,,,,,,,,---------++++++,,,---------,,,,,,---,,,,,,,,,,,,---.........------,,,,,,------...////////////////////////---...///000000///...---,,,...///111111111000000111000000000222333222111111111222222222333333333333333333444444444555555555555555555555666777777888888777777777777888888888999:::::::::;;;>>>@@@AAAAAABBBEEEGGGIIIHHHGGGFFFPPP[[[___cccrrrzzzttttttnnncccXXXPPPKKKKKKKKKJJJJJJHHHFFFDDDDDDEEEGGG@@@CCCFFFFFFDDDDDDFFFIIIJJJHHHFFFGGGHHHGGGCCC@@@>>>===<<<>>>AAAEEEFFFGGGGGGCCC>>><<<<<<>>>??????AAA>>>:::999:::<<<===>>>======>>>???AAABBBCCCDDD@@@>>><<<::::::;;;>>>???BBBBBBAAA@@@????????????>>>??????AAACCCFFFHHHIIIBBBCCCDDDEEEEEEDDDCCCCCCDDDCCCCCCCCCCCCDDDDDDEEEDDDCCCBBB@@@@@@?????????@@@AAABBBCCCDDDEEEFFFFFFDDDFFFIIIKKKKKKHHHEEEBBBBBBBBBBBBCCCCCCCCCCCCCCCJJJJJJKKKNNNQQQOOOJJJEEEDDDDDDCCCCCCCCCCCCDDDDDDCCCFFFHHHIIIGGGGGGJJJLLLLLLKKKJJJGGGDDDCCCDDDFFFDDDGGGKKKJJJGGGDDDCCCCCCBBBBBBCCCAAA>>><<<<<<===;;;<<<>>>???>>><<<999777777666666555555555666666111444999<<<<<<888222...000000000000000111111222666555333222222444777888444444333222111111111111------......------,,,+++---,,,+++*********+++,,,,,,+++***)))((('''&&&&&&(((((((((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$###"""""""""$$$$$$!!!"""$$$%%%&&&%%%%%%$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$################################################$$$$$$##################%%%%%%$$$######$$$%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((())))))))))))))))))))))))((((((((((((******+++++++++******)))+++,,,---,,,***)))***+++,,,,,,,,,,,,,,,,,,,,,,,,...------,,,,,,++++++***000000000000////////////000000000000000000000000........./////////////////////...---,,,,,,+++************++++++,,,,,,,,,///---+++,,,...///---++++++++++++++++++++++++++++++++++++*********))))))******))))))))))))******,,,,,,,,,++++++*********+++++++++++++++++++++++++++,,,------++++++,,,---000///...---,,,+++++++++....................................///////////////////////////////////////000000000111111111111000000111222333333444444111111111222444666777888333444555555666555555555777777777777777777777777888888777777999;;;>>>@@@@@@@@@AAAAAABBBBBBAAAAAAAAAEEEHHHJJJLLLSSS]]]fffyyyrrraaa[[[[[[WWWRRRLLLIIIIIIIIIGGGFFFHHHJJJIIIFFFBBB???@@@BBBDDDDDDCCCBBBBBBCCCEEEFFFIIIFFFBBBAAABBBDDDEEEEEE???===<<<===@@@AAA@@@>>>BBBAAA???======>>>???@@@;;;;;;:::::::::;;;;;;<<<>>>===<<<>>>BBBDDDDDDBBB???>>><<<;;;;;;<<<<<<===<<>><<<>>>DDDBBB;;;<<<===>>>???AAABBBCCCDDDEEEDDDCCCBBBBBBCCCEEEEEEBBBBBB@@@@@@@@@AAABBBCCCEEEDDDDDDCCCAAA???===<<<@@@===<<<===@@@BBBBBB@@@CCCCCCEEEHHHKKKMMMLLLJJJGGGGGGEEEBBB@@@BBBEEEIIIHHHHHHIIIMMMPPPOOOKKKGGGEEEEEEEEEDDDCCCCCCEEEGGGGGGFFFDDDDDDDDDFFFIIIJJJJJJJJJIIIFFFDDDCCCDDDEEEFFFEEECCCAAA@@@@@@@@@@@@>>>>>>>>>>>>>>>===<<<<<<;;;;;;:::999888777666555333333444444333333222111222222222333333222222222111111000000//////......:::888666444333444555777555444333222111111111111------......------,,,+++---,,,+++*********++++++++++++***)))((('''&&&%%%&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################&&&&&&%%%%%%%%%$$$$$$$$$%%%$$$###""""""###$$$$$$"""###$$$%%%%%%%%%$$$###########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################################################################%%%%%%$$$######$$$%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((((())))))))))))(((((((((((((((((((((*********++++++******)))+++,,,---,,,***)))***+++,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,////////////////////////000000000000000000000000///////////////////////////......---,,,,,,++++++******+++++++++,,,,,,,,,...,,,***+++---...---++++++++++++++++++++++++++++++++++++*********))))))******))))))))))))******,,,,,,+++++++++***************+++++++++++++++++++++,,,---,,,+++++++++---///...---,,,,,,+++++++++---------------------------.........////////////........................//////000000000111111111000111111222222333333333333222222333333444555666333333444555555555555555666666666666666666666666777777666777888:::===???@@@@@@AAAAAAAAAAAA@@@@@@@@@CCCEEEEEEDDDGGGNNNTTTZZZbbbppp{{{|||ooo```VVVQQQPPPQQQMMMIIIGGGHHHIIIHHHGGGHHHIIIHHHEEEAAA>>>???@@@DDDDDDCCCCCCDDDDDDEEEEEEFFFEEECCCCCCEEEEEEDDDCCC???===<<<===???AAA???>>><<<===>>>?????????>>>>>>;;;;;;:::999999999:::;;;===<<<;;;===@@@BBBBBB@@@???>>>===;;;:::::::::;;;;;;======;;;===BBB@@@:::;;;<<<===>>>@@@AAABBBCCCEEEDDDCCCBBBAAAAAABBBBBBAAA@@@???>>>>>>>>>???@@@DDDDDDCCCBBBAAA???>>>===???===<<<===AAACCCCCCBBBBBBBBBDDDGGGKKKNNNOOONNNIIIHHHFFFCCCAAAAAADDDFFFFFFFFFGGGJJJMMMMMMJJJGGGFFFGGGGGGEEECCCCCCEEEFFFEEEDDDDDDDDDDDDFFFGGGHHHGGGGGGFFFDDDBBBAAACCCDDDEEEDDDBBB@@@???@@@AAAAAA>>>??????>>>===<<<;;;:::999999888777666555444444333333333333333222222111111111222222222222111111000000000/////////......===;;;888555444444444555666555444222111000000000------......------,,,+++---,,,++++++******++++++******)))((('''&&&&&&%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%$$$$$$$$$$$$$$$######"""######$$$$$$$$$$$$$$$%%%$$$$$$###"""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################################################################%%%$$$$$$######$$$$$$%%%######$$$$$$$$$%%%%%%%%%%%%$$$#########$$$%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&'''''''''((((((((((((((((((((((((((((((((())))))******+++******)))***,,,,,,,,,***)))***+++,,,,,,,,,,,,,,,,,,,,,,,,******++++++,,,------...------......//////000000000000000000000000000000000000//////////////////......------,,,,,,++++++***++++++++++++,,,,,,,,,,,,+++***+++,,,,,,+++***+++++++++++++++++++++++++++************)))))))))******))))))))))))******+++++++++***************))))))******+++++++++,,,***+++,,,,,,+++***+++,,,......---,,,++++++++++++---------------------------------.........//////........................////////////000000000000111111111111111222222222444333333222222222333333222333444444555555444444444444444444444444444444666555555555777999;;;<<>>@@@AAA@@@>>>???CCCFFFHHHHHHLLLRRRYYYeeexxxzzztttqqqsssuuuqqqkkkaaaWWWPPPLLLIIIHHHJJJGGGEEEDDDFFFHHHHHHIIIGGGGGGFFFCCC@@@>>>>>>???CCCDDDEEEEEEFFFFFFFFFEEEDDDDDDDDDEEEFFFEEEBBB@@@>>>===<<<===>>>???>>>===999;;;???BBBDDDBBB@@@>>>===<<<999888777888999:::<<<;;;:::;;;>>>??????>>>>>>===<<<:::999888888888:::;;;;;;:::;;;>>>===999::::::;;;<<<>>>???@@@@@@DDDCCCBBBAAA@@@????????????>>>===<<<<<<<<<<<<<<>>>>>>>>======>>>AAADDDDDDDDDBBBAAABBBEEEJJJOOOQQQRRRKKKJJJIIIEEEBBBAAABBBCCCDDDCCCDDDFFFIIIJJJIIIHHHGGGHHHHHHFFFDDDCCCCCCDDDAAABBBCCCDDDDDDEEEEEEEEECCCDDDDDDCCCAAA@@@BBBCCCDDDBBB@@@>>>===???AAABBB??????>>>>>><<<;;;999999777777666555444333333222222222333333222222111000//////000000000000/////////////////////.........;;;:::888555444444444444666555444222111000000///------......------,,,+++,,,,,,++++++++++++***+++))))))(((((('''&&&&&&%%%######$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%$$$$$$$$$$$$$$$$$$$$$##################$$$$$$%%%$$$$$$$$$######""""""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############################################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$###"""###$$$&&&'''%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&'''''''''((('''''''''(((((((((((((((((())))))******************+++,,,+++***)))***+++++++++++++++++++++++++++******++++++,,,,,,,,,,,,+++,,,,,,---...//////000//////////////////////////////............------------,,,,,,,,,,,,,,,,,,+++++++++++++++++++++++++++*********++++++******************************************))))))))))))******))))))))))))***************************)))(((((())))))***+++++++++***+++,,,+++***)))***,,,------,,,+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------.........------------------------........./////////000000111111111111111000000000222222111111111111222222222222333444444444444444333333333333333333333333444444444555666777999:::>>>>>>?????????>>>>>>===;;;===???@@@???@@@BBBDDDFFFDDDFFFLLLPPPUUU\\\dddrrrxxx|||yyytttllleee``````bbbdddbbb^^^WWWQQQLLLIIIIIIIIIEEEDDDBBBBBBCCCEEEFFFGGGCCCCCCBBBAAA????????????CCCDDDEEEGGGGGGGGGFFFEEEEEEDDDCCCCCCDDDDDDBBB@@@======<<<======>>>======:::<<<@@@DDDEEEEEEDDDCCC???===:::888777888999::::::999999::::::;;;;;;:::::::::999888888777777777888999999999::::::999888888888999:::;;;<<<===>>>AAA@@@@@@???>>>>>>>>>>>>======<<<<<<;;;;;;::::::>>>>>>>>>???>>>>>>============>>>???BBBDDDFFFFFFCCCBBBAAACCCGGGLLLOOOPPPLLLLLLKKKHHHDDDAAA@@@@@@AAAAAAAAABBBEEEGGGHHHHHHGGGHHHIIIGGGDDDAAAAAAAAA>>>???AAACCCDDDCCCBBBAAAAAABBBCCCBBB@@@@@@AAABBBDDDBBB???<<<<<<===>>>@@@???>>>>>>===;;;999888777666666555444444333222222111111222222111111000///.........//////.................................777666555444444444555555666555333222111000000000------......------,,,+++,,,,,,,,,,,,++++++******)))))))))(((''''''&&&&&&######$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$$$$%%%$$$$$$######"""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$################################################""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$#########$$$%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((&&&&&&''''''((((((((()))'''((()))***************)))***++++++))))))***+++++++++++++++++++++++++++,,,,,,,,,++++++***************+++,,,---......///........................------,,,,,,,,,+++++++++++++++,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++************************************************))))))))))))))))))))))))******))))))))))))******))))))))))))))))))))))))((((((((())))))*********)))***++++++))))))***+++,,,,,,+++*********++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------------------------------............/////////111000000000000000000000000000///000000111222333111222222333333333333333333333333333333333333333333333333444555666777888;;;<<<======>>>>>>======<<<===???AAAAAABBBCCCDDDAAA???AAAGGGIIIHHHGGGHHHPPPSSSXXXaaakkkvvv~~~|||vvvpppmmmfff```]]]YYYUUUQQQPPPQQQSSSTTTWWWXXXWWWRRRLLLHHHHHHJJJDDDDDDCCCBBBAAAAAABBBCCC???>>>>>>>>>???@@@AAAAAABBBCCCEEEGGGGGGGGGGGGFFFGGGEEEAAA@@@AAABBBBBBAAA<<<=========<<<<<<<<<<<<;;;<<<===???AAABBBDDDDDD>>>===;;;999888888999:::888999999888888777777888444555666666777777888888777777888999888777666777777777888999999:::;;;;;;<<<<<<===>>>>>>>>>??????======<<<<<<<<<;;;;;;:::;;;;;;<<<<<<<<<;;;;;;:::======???@@@AAACCCEEEGGGEEECCC@@@AAADDDGGGJJJKKKKKKLLLMMMJJJFFFBBB@@@???@@@@@@@@@AAABBBDDDFFFHHHFFFHHHIIIHHHDDDAAA>>>>>><<<>>>@@@BBBCCCBBBAAA@@@@@@AAABBBBBB@@@???@@@AAADDDBBB???<<<::::::;;;<<<>>>======<<<:::888777666555555555444333333222222000000111111000000///...,,,------......------,,,---------------.........444444444444444555666666444444333222111111111111------......------,,,++++++,,,,,,,,,,,,+++***)))***)))))))))(((((((((((($$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#################################$$$$$$$$$$$$$$$!!!"""###$$$$$$$$$$$$$$$$$$$$$###"""""""""##############################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$################################################"""""""""###$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((&&&&&&&&&''''''(((((()))''''''((()))************((()))+++***))))))***+++++++++++++++++++++++++++---,,,,,,+++******))))))******++++++,,,,,,------........................,,,,,,++++++***)))))))))******++++++,,,,,,------,,,,,,,,,++++++++++++***)))***++++++***)))***+++************************(((((()))))))))))))))*********))))))))))))******(((((((((((())))))))))))))))))(((((((((((((((((((((*********)))((()))***++++++******)))******++++++++++++++++++++++++++++++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,------------.........//////////////////000000000.........///000111222333000111222222333333222222222222222222222222222222333333444444555666666666888999:::<<<============>>>>>>>>>???????????????@@@======AAACCCBBBBBBEEEJJJIIIHHHIIIMMMRRRXXX[[[___```dddlllvvvxxxtttqqqaaaaaa]]]WWWUUUVVVTTTPPPNNNLLLJJJJJJLLLNNNOOOOOONNNQQQSSSQQQKKKFFFEEEGGGEEEEEEEEECCC@@@??????@@@>>>===<<<===@@@BBBBBBBBBBBBCCCDDDEEEFFFGGGGGGGGGHHHEEEAAA??????@@@AAAAAA;;;<<<===<<<;;;:::;;;<<<:::999888777999;;;>>>@@@<<<;;;:::999999999999999888999999888666444555666000111333555666777777777666666777999777444444777666666777888888999::::::::::::<<<===>>>?????????;;;;;;<<<======<<<<<<;;;::::::;;;;;;;;;:::999999<<<>>>???@@@@@@AAADDDFFFGGGDDDAAA@@@BBBDDDFFFFFFIIIKKKMMMLLLHHHDDDAAA??????@@@BBBBBBBBBCCCEEEHHHFFFHHHJJJIIIFFFAAA>>>===<<<===???AAABBBAAA@@@??????AAABBBAAA???>>>>>>???AAA@@@>>><<<;;;:::::::::<<<<<<;;;;;;999888666666444444444333333222222222//////000000//////...---,,,,,,------------,,,,,,,,,,,,,,,---------------444555555555555666666777333333222111111222222333------......------,,,+++++++++,,,,,,,,,+++***)))************))))))))))))&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################"""#########$$$$$$$$$$$$ !!!###$$$%%%%%%$$$$$$######"""!!!!!!"""###$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$################################################!!!""""""###$$$$$$%%%%%%###$$$%%%%%%%%%%%%$$$#########$$$$$$$$$%%%%%%%%%!!!###$$$&&&&&&%%%$$$###"""######$$$%%%%%%&&&&&&''''''''''''''''''''''''''''''((((((((()))))))))%%%%%%&&&''''''((())))))&&&'''((()))************''')))******))))))***,,,************************+++++++++************************+++++++++++++++------------------------,,,,,,,,,+++***))))))))))))******+++,,,,,,------,,,,,,,,,+++++++++******)))+++---,,,***)))***,,,************************(((((((((((())))))************))))))))))))******'''''''''((((((((()))))))))))))))((((((''''''&&&((()))***)))(((((()))*********))))))))))))******++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++++++++++++++,,,,,,---------.........---......//////000000000/////////......///000000000111111222222222222222333333333333333333333333333333444555666666666666666777888:::<<<===>>>>>>>>>===<<<<<<<<<=========AAA>>>===AAACCCBBBDDDHHHIIIHHHGGGFFFGGGIIIKKKMMMPPPPPPOOOOOOQQQTTTXXX[[[___```bbbdddeeeggghhhhhheeehhhkkklllooorrrooojjjeeejjjmmmnnnrrr||||||pppfffaaa^^^ZZZSSSSSSOOOKKKLLLQQQQQQMMMMMMKKKIIIJJJMMMPPPPPPPPPLLLLLLLLLLLLJJJHHHFFFDDDEEEFFFGGGDDD@@@>>>???@@@@@@>>><<<===@@@AAAAAA???BBBBBBBBBCCCDDDEEEGGGGGGFFFDDDAAA@@@@@@@@@@@@???;;;<<<>>><<<:::999:::<<<888777555444555666888:::777777888999999888777666888999:::888444222333555///000222444555555555444666555777:::777222333888666666777777888999999999:::;;;<<<>>>>>>>>>======888999;;;<<<<<<<<<<<<;;;;;;<<<<<<<<<;;;:::999999<<<>>>@@@@@@??????BBBEEEFFFDDDBBBAAACCCDDDEEEEEEGGGJJJMMMMMMJJJFFFBBB@@@@@@BBBDDDDDDCCCCCCEEEGGGGGGIIILLLLLLHHHDDD@@@???<<<===???@@@AAAAAA@@@@@@>>>???AAA@@@>>>;;;;;;;;;;;;<<<<<<<<<<<<;;;;;;:::::::::::::::999888777666222222222111111111111000...////////////...------,,,------------------,,,++++++,,,,,,,,,---------666666777777777777777777222222111111222222333444------......------,,,+++++++++,,,---,,,+++***)))+++++++++***************(((((((((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################""""""######$$$$$$$$$$$$ !!!###$$$%%%%%%$$$$$$""""""!!!!!!!!!###$$$%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$################################################!!!""""""###$$$$$$%%%%%%###$$$%%%&&&&&&%%%$$$#########$$$$$$$$$%%%%%%%%% """%%%''''''&&&$$$"""""""""###$$$%%%%%%&&&&&&(((((((((((((((((((((((((((((((((((())))))))))))%%%%%%&&&&&&'''((())))))&&&'''((()))************''')))******))))))***,,,************************)))))))))***++++++,,,,,,+++++++++***************------------------------------,,,,,,+++***))))))))))))***+++,,,------...,,,,,,,,,++++++*********))),,,---,,,***)))+++---))))))))))))))))))))))))'''((((((((())))))************))))))))))))******&&&'''''''''(((((())))))******)))((('''&&&&&&%%%((()))***)))((('''(((******)))))))))))))))************************************+++++++++,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,---------......,,,------...///000111111111111000......---------000000111222222222222222333333333333333333333333333333444555666666666666444555777:::<<<===>>>???<<<;;;999:::<<<>>>??????;;;:::<<<@@@@@@>>>>>>AAA@@@AAACCCEEEHHHJJJLLLMMMLLLLLLLLLJJJIIIJJJMMMPPPQQQQQQQQQQQQQQQRRRRRRRRRPPPUUUWWWWWWYYY\\\ZZZVVVPPPVVVYYYYYYZZZ___dddeee[[[]]][[[WWWUUUXXXXXXUUUPPPOOOLLLIIILLLPPPPPPLLLNNNKKKGGGGGGJJJMMMMMMMMMOOOKKKHHHIIILLLMMMJJJEEEEEEGGGGGGEEEAAA??????AAACCC@@@>>>>>>@@@AAA???===BBBBBBAAAAAACCCEEEGGGHHHDDDCCCBBBBBBBBBAAA>>><<<:::<<<>>><<<999888999<<<888888777666555555666666333444666888888777555444888999:::888444222222444000111222333444333222222777555777:::777111222888666666777777888888999999<<<===>>>>>>>>>===<<<;;;666777999;;;<<<<<<<<<;;;============<<<;;;:::999<<<>>>@@@???>>>>>>AAADDDFFFDDDBBBCCCDDDFFFFFFFFFEEEIIIMMMNNNKKKGGGCCCAAA@@@CCCFFFFFFDDDCCCDDDFFFHHHKKKNNNNNNKKKFFFBBBAAA===>>>???@@@@@@AAAAAAAAA===>>>???>>><<<999888888777888:::<<<======<<<<<<999999999999999888777666000000000000////////////......//////......---,,,,,,------......------,,,+++++++++,,,,,,---------888777666444444555555666444444333111000...------,,,---.........---,,,+++------------,,,+++***)))+++******)))(((''''''&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########$$$$$$$$$#########"""""""""############$$$$$$$$$$$$"""!!!"""%%%&&&$$$"""$$$$$$$$$############"""###$$$$$$%%%%%%$$$$$$###################################################"""###$$$$$$###"""###$$$""""""############"""""""""############$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%&&&'''&&&$$$###$$$%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''((((((((())))))))))))((((((''''''''''''(((((((((((((((((()))))))))))))))((((((((()))***************((()))***++++++,,,++++++******))))))))))))))))))************************++++++************+++++++++++++++)))((((((+++---+++*********))))))((((((************************))))))))))))))))))))))))''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))******))))))((((((''''''+++***)))'''''''''((()))(((((((((((((((((((((((())))))))))))************))))))))))))))))))))))))******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,............////////////000000000000000000000000///111222222111111222333333333333333333222111000222333444444333222333444666666666777888999;;;;;;888999:::<<<===>>>>>>>>>BBBAAAAAA@@@@@@AAAAAABBBCCCAAA???@@@CCCGGGJJJKKKIIILLLNNNLLLGGGFFFIIIMMMKKKMMMNNNNNNLLLKKKKKKLLLNNNMMMLLLLLLNNNOOONNNMMMLLLLLLNNNPPPRRRTTTUUUVVVSSSPPPNNNNNNPPPSSSUUUVVVPPPMMMIIIGGGIIIMMMPPPQQQNNNKKKGGGGGGIIILLLLLLKKKIIIIIIIIIHHHHHHGGGGGGFFFEEEEEEDDDDDDDDDDDDDDDDDDCCCBBB@@@>>>======>>>>>>???@@@AAAAAABBBDDDGGGJJJBBBAAAAAA@@@@@@AAAAAABBB<<<;;;:::888888777888888666666666666666666666666555666666666555444444333888888777666555333111000222333333444444333333333333333333333333333333333444555666777777888888777::::::;;;<<<=========<<<999888777:::>>>@@@@@@>>>===>>>>>>===:::999999:::<<<>>>??????===<<<<<<===CCCCCCDDDCCCBBBAAA???>>>CCCEEEGGGGGGFFFCCCBBBBBB@@@AAABBBCCCCCCCCCBBBAAAHHHIIIKKKLLLLLLIIIGGGEEECCCCCCCCCCCCBBBAAA@@@???>>>???@@@>>>;;;888777777777777777999<<<===<<<;;;::::::999888666444333222......////////////......------............------++++++++++++++++++++++++************************888777666444444555555666444444333111000...------------.........---,,,+++------------,,,+++***)))*********)))((('''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$#########"""""""""############$$$$$$$$$$$$"""!!!"""$$$&&&$$$###$$$$$$$$$############""""""######$$$$$$######"""################################################"""###$$$$$$""""""###$$$""""""############"""""""""############$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%&&&'''&&&$$$###$$$%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''((((((((())))))))))))((((((''''''''''''(((((((((((((((((())))))))))))(((((((((((()))***************((()))***++++++,,,++++++************************************************+++******))))))******+++***++++++***))))))***,,,*********)))))))))(((((())))))))))))))))))))))))((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((((((((((((((('''((((((((())))))))))))))))))))))))((((((''''''+++***((('''''''''((()))(((((((((((((((((((((((((((((()))))))))*********))))))))))))))))))))))))*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---.........///////////////////////////////////////111222222111000222333333333333333333222111000222222333444444444555666666666666777888999:::;;;::::::;;;<<<============@@@@@@??????@@@AAAAAABBB@@@???>>>???CCCHHHKKKLLLMMMPPPQQQOOOKKKHHHJJJMMMJJJLLLMMMMMMKKKJJJJJJKKKLLLKKKJJJLLLNNNOOOOOONNNKKKKKKLLLMMMOOOQQQSSSTTTOOOMMMJJJKKKMMMQQQSSSSSSOOOLLLIIIHHHJJJLLLNNNNNNLLLIIIGGGHHHJJJLLLLLLKKKIIIIIIIIIHHHHHHIIIIIIIIIIIIIIIHHHGGGFFFFFFFFFFFFFFFEEECCCAAA@@@>>>>>>======>>>?????????AAADDDFFF@@@@@@???>>>>>>>>>>>>>>>===<<<999777777777888:::777777777666555444444333444555555555444444333222666666666666555333222222333333444444444333222222333333333333333333333333666666777888999999999999777888999:::::::::::::::999888888:::===??????>>>===>>>>>>===;;;999:::;;;<<<===??????>>>======>>>EEEEEEEEEFFFEEECCCBBB@@@AAACCCFFFFFFDDDBBBAAAAAA???@@@BBBCCCDDDDDDDDDDDDEEEFFFHHHJJJKKKKKKJJJIIIEEEEEEDDDCCCCCCBBBAAAAAA???@@@@@@>>>;;;888777777999888888999<<<<<<;;;:::999999888777666444222222......////////////......------............------************************************************888777666444444555555666444444333111000///...---------......------,,,+++---------,,,++++++************))))))((((((''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$###############"""############$$$$$$$$$###"""""""""$$$%%%$$$###$$$$$$$$$############""""""""""""######"""""""""################################################"""###$$$$$$""""""###$$$""""""############"""""""""############$$$$$$$$$######$$$$$$$$$$$$######$$$%%%&&&%%%$$$###$$$%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''(((((((((((((((((((((((((((''''''''''''(((((((((((((((((())))))))))))(((((((((((()))***************((()))***++++++,,,++++++******++++++++++++++++++************************+++******))))))******+++(((***++++++***))))))*********))))))))))))((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&''''''''''''(((((((((((((((((((((((((((((((((''''''((((((((())))))))))))))))))(((((((((((('''***)))((('''''''''(((((((((((((((((((((((((((((((((((())))))))))))******)))))))))))))))))))))))))))*********++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,---------........./////////////////////////////////000222111000000111333222222333333333222111111222222333444555555666666666666666666777999:::;;;;;;;;;<<<===>>>>>>======>>>>>>>>>???@@@AAABBBCCC???>>>===???DDDHHHKKKLLLOOORRRTTTSSSOOOLLLLLLMMMIIIKKKLLLLLLJJJIIIIIIIIIJJJIIIIIIKKKNNNPPPPPPOOOJJJIIIIIIIIIJJJMMMPPPRRRLLLJJJHHHHHHJJJMMMOOOOOOMMMKKKIIIIIIJJJKKKJJJIIIJJJJJJJJJLLLNNNOOONNNMMMJJJIIIIIIIIIIIIJJJJJJKKKLLLKKKIIIHHHFFFEEEEEEEEEGGGGGGFFFEEECCC@@@>>>===:::;;;<<<<<<<<<===@@@BBB???>>>===<<<;;;:::::::::===<<<999777777777999:::999888777666444333222111333333333333333333222111333333444555555555444444444444444444333333222111333333333333333333333333555555777888888888888888555555666777888888888888999888888:::<<<>>>>>>===<<<===>>>===;;;::::::<<<;;;===??????>>>>>>???@@@DDDDDDEEEEEEEEEDDDBBBAAAAAADDDFFFFFFEEECCCBBBBBB@@@AAABBBDDDEEEFFFGGGGGGEEEEEEFFFGGGIIIIIIJJJJJJGGGFFFDDDCCCBBBBBBCCCDDDAAABBBBBB@@@<<<999888888:::999999:::;;;;;;:::888777777777666555333222111......////////////......,,,------......------,,,))))))))))))))))))))))))************************888777666444444555555666444333333222000//////...---------------,,,,,,,,,---,,,,,,+++++++++++++++***)))))))))((((((((('''&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################""""""#########$$$$$$$$$###""""""###$$$$$$$$$$$$$$$$$$$$$#########""""""""""""############""""""################################################"""###$$$###"""!!!"""$$$""""""############""""""""""""#########$$$$$$$$$######$$$$$$$$$$$$######$$$%%%&&&%%%$$$###$$$%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''((((((((((((''''''(((((((((''''''''''''((((((((((((((())))))))))))(((((('''(((((()))***************((((((***++++++++++++++++++++++++++++++,,,,,,,,,******************************))))))))))))******''')))+++,,,***)))))))))))))))))))))))))))((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&'''''''''(((((('''''''''''''''''''''''''''''''''((((((((())))))(((((((((((((((((((((((((((((((((((('''((((((((((((((((((((((((((((((((((((((((((((()))))))))***)))))))))))))))))))))))))))))))))************+++++++++++++++++++++++++++,,,,,,---------.........///////////////////////////000111111000000111222222222333333333222222111333222222333444555444444555555555666777888999:::999:::<<<===>>>?????????>>>>>>>>>???AAACCCDDDEEEAAA@@@???AAADDDHHHJJJKKKNNNPPPSSSTTTQQQOOONNNOOOJJJKKKMMMLLLJJJHHHHHHIIIKKKJJJIIIKKKMMMNNNNNNMMMJJJHHHGGGFFFHHHJJJNNNPPPMMMKKKIIIHHHJJJKKKLLLKKKKKKJJJIIIJJJJJJJJJGGGEEEJJJLLLNNNPPPRRRSSSRRRQQQLLLKKKJJJJJJIIIJJJKKKKKKLLLKKKIIIGGGEEECCCBBBBBBEEEEEEEEEEEEDDDBBB@@@>>>999:::<<<<<<;;;;;;===>>>???>>><<<:::999888777777::::::999999999888888888777777666555444333222111111111222222222222111111000000222333555555666666444444444444333222111111222222222222222222222222222333444555555666555555444555666888999999999999888888888999;;;<<<<<<<<<;;;<<<===<<<;;;:::;;;<<<:::<<<>>>???>>>>>>???AAAAAAAAABBBCCCCCCBBBAAA@@@CCCEEEHHHHHHGGGEEEEEEEEEBBBCCCDDDEEEFFFGGGGGGHHHHHHGGGFFFEEEEEEEEEFFFFFFGGGEEECCCAAAAAABBBCCCDDDCCCDDDDDDBBB>>>;;;::::::;;;:::999:::::::::888666555555555555444333222111---......//////......---,,,,,,------------,,,,,,************************************************888777666444444555555666444333333222111000//////......------,,,,,,,,,,,,,,,,,,+++*********++++++))))))))))))((((((((((((%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################""""""#########$$$$$$$$$"""###############$$$$$$$$$$$$$$$#########""""""###$$$$$$$$$$$$$$$$$$###################################################!!!"""######"""!!!"""###""""""############""""""""""""#########$$$$$$$$$"""######$$$$$$######"""###$$$%%%%%%######$$$%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''(((((((((''''''''''''((((((''''''''''''(((((((((((()))))))))))))))(((''''''(((((()))***************((((((***+++++++++++++++******+++++++++,,,,,,,,,***************************))))))))))))))))))***''')))++++++***)))((()))(((((((((((((((((())))))))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((((((((('''''''''''''''((((((((('''''''''(((((((((((('''(((((((((((((((((((((((('''(((((((((((()))))))))(((((((((((((((((((((((((((((()))))))))*********++++++++++++++++++++++++,,,,,,,,,,,,------------...........................000111111000///111222111222222333333333222222444333111222333444222111444444444555666777999999777888:::<<<>>>@@@AAAAAA>>>>>>???@@@BBBDDDEEEFFFDDDCCCBBBCCCEEEGGGHHHHHHIIIKKKOOOPPPQQQPPPPPPPPPKKKMMMNNNMMMKKKIIIIIIIIIMMMKKKJJJKKKLLLLLLKKKJJJJJJIIIGGGFFFGGGIIILLLNNNPPPNNNLLLKKKKKKLLLKKKJJJJJJIIIIIIJJJKKKIIIFFFCCCHHHKKKNNNQQQRRRRRRRRRQQQOOOMMMKKKJJJIIIIIIJJJJJJMMMLLLIIIGGGDDDBBBAAAAAA@@@AAABBBCCCCCCBBB@@@???:::<<<======;;;;;;;;;===>>>===<<<:::888777666666555777999;;;;;;999666444444444444444333333333333000000111111111111111000...///111222444555666666333444444444333333222111222222222222222222222222111111222444444444444444666666888999:::;;;;;;;;;777777888888888999999:::999:::;;;;;;::::::;;;<<<999;;;===>>>>>>>>>???@@@???@@@AAABBBBBBAAA@@@@@@BBBEEEGGGHHHGGGEEEEEEEEEEEEEEEEEEEEEFFFGGGGGGHHHHHHGGGEEECCCBBBCCCDDDDDDEEEDDDBBB@@@@@@AAACCCDDDDDDEEEEEECCC@@@>>>======<<<;;;:::999:::999777555333333333333333222111000------............------++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++))))))))))))))))))))))))888777666444444555555666444333333222111111000000///...---,,,,,,,,,,,,---,,,+++***))))))***+++,,,))))))))))))((((((((((((%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%###############$$$$$$$$$"""############$$$$$$$$$!!!###$$$$$$######$$$%%%$$$$$$$$$############"""$$$$$$%%%%%%%%%%%%$$$$$$################################################!!!"""######!!!!!!"""###""""""############"""""""""############$$$$$$$$$""""""############"""""""""###$$$$$$######$$$%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''((()))((('''&&&&&&'''((()))''''''''''''(((((((((((()))******))))))((('''&&&(((((()))***************((()))***++++++,,,++++++))))))******+++,,,,,,,,,***************************))))))(((((())))))***''')))******)))(((((()))''''''(((((((((((())))))))))))))))))))))))))))))((((((((((((((((((((((((%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((&&&''''''''''''(((((((((&&&&&&'''(((((((((''''''((((((((((((((((((((((((''''''(((((((((((())))))(((((((((((((((((((((((((((((((((((())))))))))))+++++++++++++++++++++++++++++++++,,,,,,,,,------...........................///111000//////000222111111222333333333222222555333111222444555333111444444444444555777888999666777999;;;===???@@@@@@>>>>>>???@@@AAACCCEEEFFFEEEDDDCCCCCCEEEFFFFFFEEEEEEGGGIIILLLNNNOOOOOOOOOLLLMMMNNNMMMKKKIIIIIIIIIMMMLLLJJJJJJKKKKKKIIIHHHJJJIIIGGGGGGGGGIIIKKKLLLOOONNNLLLLLLLLLMMMLLLKKKIIIIIIIIIJJJKKKIIIFFFCCCDDDGGGKKKMMMMMMMMMMMMNNNOOOMMMKKKIIIHHHIIIJJJKKKOOOMMMKKKHHHFFFDDDCCCBBB======>>>???@@@@@@@@@@@@<<<===>>>>>><<<;;;;;;;;;>>>===;;;999888777666666333555888::::::888555222333333333333333333333333///000111111222111111111...///000222333444555555222333333444444333333222222222222222222222222222222333444555555666555555555666888999;;;;;;<<<<<<555666777777666555666888777888999999999999:::;;;999;;;======<<<<<<===>>>>>>???AAABBBCCCBBBBBBAAA???AAADDDEEEDDDCCCBBBBBBDDDDDDDDDEEEFFFGGGHHHIIIFFFEEEDDDCCCCCCDDDEEEFFFCCCBBBAAA@@@@@@AAABBBCCCBBBCCCDDDCCCAAA???>>>???<<<;;;999999999999666444111111222222222111000000------............------***++++++,,,,,,++++++***++++++++++++++++++++++++))))))))))))))))))))))))888777666444444555555666444333333222222111111000///...---,,,,,,,,,------,,,+++***))))))***+++,,,(((((((((((())))))))))))%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%""""""#########$$$$$$$$$"""############$$$$$$$$$!!!###%%%$$$""""""$$$&&&$$$$$$$$$############"""######$$$$$$$$$$$$######################################################!!!"""###"""!!! !!!###""""""############"""""""""############$$$$$$$$$""""""############""""""!!!###$$$$$$######$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''((()))(((&&&%%%%%%&&&((()))''''''''''''((((((((((((************)))((('''&&&(((((()))***************((()))***++++++,,,++++++(((((())))))***++++++,,,************************))))))(((((((((((())))))((()))***)))'''''')))***'''''''''((((((((())))))((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''((((((%%%&&&'''(((((((((''''''(((((((((((((((((((((((('''''''''((((((((())))))(((((((((((((((((((((((('''''''''((((((((())))))************************++++++++++++,,,,,,,,,,,,...........................///000000//////000222000111222333333333333222444222000222777:::888555333333333444555666888888888888:::;;;<<<<<<<<<<<<=========>>>???AAABBBCCCBBBAAA@@@AAADDDEEEEEEDDDFFFFFFFFFHHHKKKMMMMMMMMMKKKLLLMMMLLLJJJHHHGGGHHHLLLJJJIIIIIIKKKKKKJJJHHHHHHGGGGGGGGGGGGHHHHHHIIIJJJIIIHHHJJJLLLNNNMMMMMMIIIIIIIIIJJJKKKJJJGGGEEECCCFFFIIIJJJIIIIIIJJJLLLKKKJJJHHHGGGHHHJJJLLLNNNMMMLLLJJJGGGEEECCCBBBBBB>>>============>>>>>>???<<<>>>??????<<<:::::::::<<<;;;999888777666555555444444555666666555444444444444333333222222111111///000111222222222222111///000111222333333333333111111222333444444444444111111111111111111111111111222333444555555555555333444555777999:::::::::333555666555333222444555444666777888777777999:::999:::<<<<<<;;;::::::;;;<<<===???@@@AAAAAAAAA@@@===@@@CCCDDDCCCBBBAAABBBAAAAAABBBCCCFFFHHHKKKLLLIIIIIIHHHGGGFFFFFFFFFFFFBBBBBBBBBBBBCCCCCCCCCCCC>>>@@@AAAAAA???>>>>>>???;;;:::999999999999666444///000000111111111000000,,,------......------,,,******++++++++++++******************************))))))))))))))))))))))))888777666555444555555666444333333222222111111111///...---,,,+++,,,------,,,+++)))((((((***+++---(((((((((((())))))))))))%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%""""""######$$$$$$$$$$$$"""############$$$$$$$$$!!!###%%%$$$""""""$$$&&&$$$$$$$$$############"""""""""############""""""################################################!!!"""###"""!!! !!!###""""""############"""""""""############$$$$$$$$$""""""############""""""!!!###$$$$$$######$$$&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''(((((()))(((&&&%%%%%%&&&((()))''''''''''''((((((((()))************)))((('''&&&(((((()))***************((()))***++++++,,,++++++'''(((((()))******++++++************************))))))(((((((((((()))))))))))))))(((&&&''')))+++&&&'''''''''(((((())))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''(((((($$$%%%'''(((((((((''''''((((((((((((((((((((((((''''''''''''((((((((()))((((((((((((((((((((((((''''''''''''((((((((()))******************************+++++++++,,,,,,,,,...........................///000000//////000111000111222333333333333333444111000444:::===<<<:::333333333444555666777888:::::::::;;;;;;:::999999<<<<<<<<<<<<===???@@@AAA>>>>>>>>>@@@BBBDDDDDDCCCGGGFFFFFFGGGIIIKKKLLLKKKJJJKKKLLLKKKHHHFFFFFFFFFJJJHHHHHHIIIKKKLLLKKKJJJFFFFFFFFFGGGGGGGGGGGGFFFDDDDDDDDDGGGKKKNNNNNNNNNJJJIIIIIIJJJKKKJJJHHHFFFDDDGGGJJJJJJHHHHHHJJJLLLHHHGGGFFFFFFHHHKKKNNNQQQJJJIIIGGGEEECCCAAA@@@@@@@@@???===<<<<<<<<<===>>><<<>>>??????<<<:::999999:::999888777666555555555666444333222222333555666666555444333222000//////000000111222222222222222000111111222222222111111000111222333444555555555111111111111111111111111//////000111222222222222000111333555666777888888222444666444222000222444333555666777666777888:::999:::<<<;;;:::999999:::999:::<<<===>>>>>>>>>>>>???AAADDDEEEDDDCCCCCCCCC>>>>>>@@@BBBFFFJJJMMMPPPOOONNNMMMKKKHHHFFFDDDCCCBBBCCCDDDDDDEEEDDDDDDCCC;;;===??????=========>>>;;;999888999999999777555...//////000000000000000,,,------......------,,,******++++++++++++******))))))))))))))))))))))))))))))))))))))))))))))))666666555555555555666666666666555444333222222111//////...------------...******************++++++*********)))(((&&&%%%$$$''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$#########"""$$$&&&''''''&&&$$$###########################""""""""""""""""""""""""################################################$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""""""""""""""""""""""""""$$$"""  """############""""""!!!!!! ###$$$%%%$$$""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&))))))))))))))))))))))))******)))((('''&&&%%%%%%"""$$$&&&(((************((((((((((((((((((((((((******+++,,,------......))))))))))))))))))))))))++++++******))))))((((((***++++++,,,+++***)))((())))))(((((('''''''''&&&((((((((((((''''''''''''((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&))))))((('''''''''''''''(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))******************+++++++++,,,,,,,,,+++,,,---.........---,,,............////////////111111222222222333333333222111111555:::<<<999555666444333222333444444444777777888999::::::::::::::::::<<<===>>>>>>>>>>>>===<<<<<<<<<===>>>@@@AAABBBCCCDDDEEEFFFGGGHHHHHHJJJJJJIIIHHHHHHGGGFFFFFFJJJKKKKKKJJJHHHHHHIIIKKKIIIHHHFFFDDDCCCBBBBBBCCCGGGGGGFFFFFFGGGIIIKKKLLLKKKJJJIIIGGGGGGGGGGGGGGGHHHHHHHHHGGGGGGIIIJJJJJJIIIIIIHHHGGGEEEFFFIIIKKKHHHHHHGGGEEEDDDBBBAAA@@@???>>><<<;;;:::;;;===>>>>>>>>>===<<<:::888666555999666444555777999777666444444444333333222222222444444333333222111111000------///000111111111111111111222222222222111111444444444444444444444444222111111000000000000000111111111111111111222222000000111222333444444555444333333333333444555555444444555555666666777777777777777888888888777777888888:::<<<>>>>>><<<999:::<<>>??????>>>======<<<;;;:::888666555444444000000000000////////////,,,,,,,,,+++++++++******,,,,,,,,,+++++++++******))))))))))))))))))))))))******))))))((((((''''''666666555555555555666666666666555444333222222111//////...------------...******************++++++******)))(((''''''&&&%%%'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%&&&&&&'''&&&%%%###"""########################################################################################################################""""""""""""""""""""""""########################!!! !!!!!!!!! ###"""""""""!!!!!!!!! """###$$$$$$###"""###%%%########################$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((((((((((((((((((((((((((((((((''''''''''''%%%&&&''')))))))))(((((((((((((((((((((((((((((('''''''''((()))*********))))))))))))))))))))))))))))))************************+++++++++***)))((()))(((((((((''''''''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&))))))((('''''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((()))))))))******************+++++++++,,,,,,******,,,---------,,,+++---.........////////////000000000000111111111222111//////333888999666222555333222111222444666777555555666777888888888888999:::;;;<<<===>>>>>>>>>:::::::::;;;<<<>>>AAABBBAAABBBCCCDDDEEEFFFGGGHHHIIIIIIHHHHHHGGGFFFFFFEEEIIIJJJJJJJJJHHHHHHIIIKKKIIIHHHFFFCCCBBBAAAAAAAAAEEEEEEEEEFFFGGGHHHIIIJJJIIIGGGEEEDDDDDDEEEFFFGGGJJJHHHIIIMMMMMMIIIHHHJJJHHHHHHHHHFFFEEEEEEGGGIIIGGGGGGFFFEEEDDDBBBBBBAAA>>>===;;;999999999;;;;;;=========<<<:::999777666777555333444666888777555444444333333333222222222333333222222111111000000------///000000111111111000111111222222111111000333333333333333333333333111111000////////////000000000000111111222222222000111111222222333333444222222222222222333444444555555555555555666666666555666777888888888777666888888999;;;===>>><<<::::::<<>>???@@@======>>>>>>@@@DDDJJJNNNbbb}}}PPPFFFHHH@@@AAA@@@???>>>>>>@@@AAA@@@???<<<<<<===>>>>>>===<<<;;;;;;:::999777555444333333000000000/////////......,,,,,,+++++++++*********++++++*********)))))))))))))))))))))))))))))))))))))))))))))((((((''''''777666666555555666666777666666555444333222111111//////...------------...++++++++++++++++++*********)))(((''''''''''''(((&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###((('''&&&&&&%%%$$$###"""################################################################################################""""""""""""""""""""""""""""""""""""""""""""""""######################## !!!"""######"""!!! """"""""""""!!!!!!!!!!!!!!!"""$$$$$$######$$$&&&""""""""""""""""""""""""$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&'''''''''(((((()))((()))))))))((('''&&&%%%((((((((((((((((((((((((%%%%%%&&&&&&''''''(((((())))))))))))))))))))))))'''(((((()))******++++++)))************))))))(((((((((((((((''''''''''''(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''')))(((''''''&&&'''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((())))))))))))***************++++++++++++,,,)))******+++,,,+++++++++---------.........//////....../////////000000000000......111444555222///111111000000111333555666222333444555555666666555888888:::;;;<<<=========777777888999;;;>>>@@@AAA???@@@AAABBBDDDEEEFFFGGGGGGGGGGGGFFFEEEEEEDDDDDDGGGIIIJJJIIIHHHGGGIIIJJJIIIGGGEEEBBBAAA@@@??????AAABBBCCCDDDEEEFFFFFFFFFFFFDDDBBB@@@@@@BBBEEEGGGKKKKKKWWWgggfffUUUHHHHHHEEEFFFGGGFFFDDDCCCDDDEEEFFFFFFEEEDDDCCCCCCBBBBBB===;;;999777666777888999;;;<<<<<<;;;;;;:::999888555444222333555666666555333333333222222222222222222222111111000/////////---......///000000000000000000111111111111000000111111111111111222222222000000///............/////////000000111222333333222222222222222222222222111111000000111111222333555555555555444444444444333555777999:::999777555777777777999<<<===<<<;;;:::<<<>>>??????>>>>>>???:::;;;<<<===???CCCIIIMMMXXXuuummmNNNGGGDDD>>>DDD>>><<<;;;;;;===>>>??????<<<======>>>===<<<:::999:::999777555333222111111////////////.........---++++++++++++*********)))))))))))))))(((((((((((()))))))))))))))))))))))))))))))))(((((((((((('''777777666666666666777777666555555444333222111111//////...------------...,,,+++++++++++++++*********)))(((''''''(((((()))&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$$$$$$$$$$%%%########################################################################################################################""""""""""""""""""""""""########################"""###$$$$$$############""""""""""""!!!!!!!!!!!! """############%%%&&&###########################$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''(((((()))))))))(((((('''&&&&&&(((((((((((((((((((((((('''''''''(((((()))))))))))))))))))))))))))))))))&&&'''''''''((((((((())))))))))))))))))))))))(((((((((((((((((('''''''''(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((''''''&&&&&&'''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((()))))))))***************++++++++++++*********+++++++++++++++,,,,,,---------.....................///////////////......///111222000......000222444333222222111111111222333444444444444666777888:::;;;<<<<<<<<<666666777888:::<<<===>>>===>>>???@@@BBBCCCEEEEEEEEEEEEDDDDDDDDDCCCCCCCCCFFFGGGIIIIIIGGGGGGHHHIIIHHHGGGDDDBBB@@@???>>>>>>>>>???AAACCCDDDDDDDDDCCCDDDBBB???===>>>AAAEEEHHHKKKQQQkkkhhhMMMEEECCCEEEFFFEEECCCBBBAAABBBDDDDDDDDDCCCCCCBBBBBBBBB<<<;;;888666555555666777888888999999999999888888333333222222333444444555222222222222222111111111111111111000//////......---......///000000/////////000000000000000000/////////000000000000000111//////...------------...---...///000111222333444333222222222111111000000111111000000111111222333555555444444333333222222222555888;;;<<<:::888666777666666777:::<<<<<<;;;:::<<<>>>???>>>======>>><<<===>>>>>>???BBBGGGJJJBBBRRROOODDDFFFDDDAAAHHH>>><<<999999;;;===??????===>>>>>>>>>===<<<:::999888777555333111000//////............------------+++************))))))))))))))))))(((((((((''''''((((((((((((((((((((((((((((((((((((((((((((((((777777666666666666777777555555444333222111111000//////...------------...,,,,,,,,,,,,++++++*********))))))((((((((())))))&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''################################################################################################$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""###########################$$$$$$###!!!!!!###&&&!!!!!!!!!!!!"""""""""""" """############%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&((((((((((((((((((((((((''''''''''''&&&&&&&&&&&&'''''''''''''''((((((((((((((((((((((((((((((((((((((()))))))))))))))***((((((((((((((((((((((((''''''&&&&&&%%%%%%%%%%%%((((((((((((((((((((()))'''''''''(((((((((((((((''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((()))))))))))))))*********++++++++++++++++++++++++,,,,,,---,,,,,,,,,,,,------------............/////////000////////////000000///......333999<<<999444000...000111222333444444444444444555777888:::;;;;;;;;;777777888999999999999999:::;;;<<<>>>@@@BBBCCCDDDBBBBBBBBBBBBBBBAAAAAAAAADDDFFFHHHHHHGGGFFFGGGHHHGGGFFFDDDAAA???>>>>>>>>>===>>>@@@BBBCCCCCCCCCBBBCCCAAA???===>>>AAAEEEHHHKKKTTTqqqmmmNNNDDDAAACCCDDDDDDBBB@@@@@@AAABBBBBBBBBAAAAAA@@@@@@@@@;;;:::777666555555666777444555666777777777777666333333333222222222333444111111111111111111111111111111000000///......------......////////////......//////000000//////............/////////000000///......------------------......000111222333333333222222111111000000///111111111111111222222333444444333333222222111111222555999<<<===<<<:::999777666444555888:::;;;;;;999;;;>>>>>>===<<<<<<===???@@@@@@@@@???AAADDDFFFEEEFFFBBBBBBHHHFFFBBBCCC???<<<::::::<<<>>>??????>>>>>>??????>>><<<;;;999666555444222000///......------------,,,,,,,,,+++*********)))))))))((((((***))))))))))))((((((((('''''''''''''''''''''''''''''''''''''''(((((((((888777777666666777777888555555444333222111000000//////...------------...---------,,,++++++******)))************)))((('''%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%"""###$$$%%%&&&''''''(((########################$$$$$$$$$$$$$$$$$$$$$$$$################################################$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$ ###%%%$$$!!! """$$$!!!!!!!!!!!!""""""""""""!!!"""$$$$$$######$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&((((((((((((((((((((((((((('''''''''&&&&&&%%%%%%&&&&&&&&&&&&''')))***+++((((((((((((((((((((((((''''''((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&%%%$$$$$$###(((''''''''''''(((((()))'''''''''((((((((((((((('''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''(((((((((((()))))))))))))))************+++,,,++++++++++++,,,------+++++++++,,,,,,,,,------------.........///////////////////////////000000000777???AAA===777222///000111222333444444444444222333555777999::::::;;;777888888999999888888777888999:::<<<>>>@@@AAABBB@@@@@@@@@@@@@@@@@@@@@@@@BBBDDDGGGGGGGGGFFFFFFGGGGGGEEECCCAAA@@@???@@@@@@>>>???@@@AAABBBCCCCCCCCCCCCAAA???>>>???AAAEEEGGGJJJPPPcccwwwvvv___KKKEEE@@@AAABBBBBBAAA@@@AAABBBAAAAAA@@@??????>>>======999777666444444555666777333333444555555555555555444444444333111000111333000000000000000111111111111111000000///.........---....../////////............////////////......------......//////000000//////...------------.........//////000111222222222222111111111000000000111111111000111222222333222222222222111111111111222444888;;;<<<<<<;;;:::888666444444666888999:::999;;;===>>><<<;;;;;;<<>><<<;;;===>>>>>>===<<<===>>>>>>===<<<:::999666555333111///...------,,,,,,,,,,,,++++++++++++))))))))))))(((((((((((())))))))))))((((((((((((''''''''''''''''''''''''&&&''''''''''''(((((((((888888777777777777888888555444444333222111000000//////...------------......------,,,++++++******)))***,,,,,,+++)))&&&%%%%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%"""###%%%&&&'''&&&&&&%%%########################$$$$$$$$$$$$$$$$$$$$$$$$########################################################################""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$)))***'''###"""### !!!!!!!!!"""""""""###"""###$$$$$$###"""###%%%####################################$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&'''(((***+++((((((((((((((((((((((((((('''''''''''''''''''''(((((((((((((((((((((((('''''''''&&&&&&&&&&&&&&&''''''&&&&&&&&&'''((()))''''''''''''((((((((()))'''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''((((((((())))))))))))))))))************+++******)))***+++,,,---++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------------......---...///000///555<<<>>>:::555222111///000111222333333333333111222444666888999::::::666777888999:::999999888666777999;;;===???@@@AAA>>>>>>>>>>>>>>>>>>>>>>>>@@@CCCFFFGGGFFFFFFFFFFFFFFFEEECCCAAAAAAAAAAAABBB@@@@@@@@@AAABBBCCCEEEEEEAAA@@@???>>>???@@@BBBDDDGGGIIIPPPXXXWWWNNNEEECCC@@@AAAAAA@@@???@@@CCCEEE@@@@@@???>>><<<;;;::::::555444333222222333555777333333444555555555444444555666666444000///000222/////////000000000111111222222111000000//////...---......//////...---------......//////......---------......///000000000000//////...---............/////////000000111111111111111111000000000000000000//////000000111222000000000111111111111111111333555888999:::;;;::::::777444222444666888888999;;;======<<<::::::;;;???@@@@@@???>>>???AAABBBBBB===>>>@@@>>>BBBDDD??????>>><<<<<<======<<<:::999:::;;;;;;;;;:::999888555444333111///...------,,,+++++++++************))))))((((((((('''''''''((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((888888777777777777888888555444444333222111000000//////...------------.........---,,,,,,+++******)))+++---...,,,)))%%%###%%%%%%%%%$$$$$$$$$###############$$$$$$%%%%%%%%%###%%%&&&''''''&&&$$$"""########################$$$$$$$$$$$$$$$$$$$$$$$$################################################""""""""""""""""""""""""""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$&&&///222...(((%%%$$$ !!!!!!!!!""""""#########$$$%%%$$$""""""###$$$"""""""""""""""""""""""""""############$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&(((((()))(((((('''&&&&&&''')))***(((((((((((((((((((((((())))))))))))))))))((((((((((((((((((((((((((((((&&&&&&''''''((()))))))))'''&&&&&&%%%&&&'''((()))&&&'''''''''(((((())))))''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''((((((((()))))))))))))))***************)))((((((((()))+++,,,******+++++++++,,,,,,,,,******+++++++++,,,,,,,,,+++,,,---,,,,,,---///000+++111666777333000000222...///000111222222222222000111333555777999999:::444555777999:::;;;::::::555666888:::<<<>>>@@@@@@=========>>>>>>>>>>>>>>>???BBBEEEGGGFFFEEEEEEFFFEEEDDDCCCBBBAAABBBCCCCCCBBBAAAAAAAAABBBDDDFFFGGG@@@??????>>>>>>???@@@AAACCCEEEHHHHHHHHHFFFBBB???@@@@@@@@@??????AAADDDGGG@@@???>>>===;;;999888888222222000000111222444666444444555555666555555444777888888555000...///111.../////////000000111111222222111111000000//////---......///......---------..................---------......///000111111000000///............///////////////000000000000000000000000000111111111...............///000000//////000000111111222222000111333555777999::::::;;;888444222333555777777999;;;======;;;:::::::::<<<===>>>>>>>>>>>>@@@BBBBBB@@@DDDBBB999<<>>???===<<<======<<<:::777666777888999:::999888777666444333111///...------+++++++++************))))))(((((((((''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((888666555666888999999888555555555555444333222111---------...------,,,,,,///......------,,,++++++)))))))))(((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%######""""""######$$$%%%"""""""""""""""""""""""""""############$$$$$$$$$########################"""############$$$$$$$$$""""""""""""""""""""""""######""""""""""""######""""""""" """$$$#########"""""""""""""""""""""""""""""""""""""""########################$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''((((((((((((''''''&&&&&&''''''((()))))))))'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((%%%&&&'''(((((('''&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$###$$$$$$$$$#########""""""#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''((()))))))))))))))(((''''''(((((((((((((((''''''''')))************++++++++++++***)))+++...000...,,,******+++++++++,,,,,,,,,---------............///111111000000//////......///000000000000111111111222333444444555555444444666666666777888888999999777777666777888:::<<<>>>AAA???===<<<<<<===???@@@>>>???AAADDDGGGIIIKKKLLLFFFFFFEEEDDDCCCCCCDDDDDDCCCDDDDDDCCCBBBBBBDDDGGGFFFDDDBBB@@@@@@AAACCCDDDHHHGGGGGGGGGGGGEEEBBB???>>>>>>???AAACCCEEEHHHIIIBBB@@@===:::777666555555444222111111222333333222222333333333333333333444777666444111///...------////////////............////////////////////////------------------------...........................------------...//////....../////////////////////////////////.........111000/////////000222222222111000///............///000000111111222333333222222333555666888999999======<<<:::777777888:::777888:::<<<<<<;;;:::999;;;<<<===>>>@@@BBBCCCDDDCCCCCCAAA>>>;;;;;;>>>@@@@@@>>>=========<<<:::888555555666777777666555444222111000///...---,,,,,,******************************)))(((((((((((((((((('''&&&%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%$$$$$$888777555666888999999888555555555555444333222111------......------,,,,,,.........---,,,,,,++++++)))))))))(((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$######""""""######$$$%%%########################"""############$$$$$$$$$########################"""############$$$$$$$$$##############################""""""""""""######$$$$$$$$$"""!!!!!!$$$&&&%%%%%%$$$###""""""!!!!!!################################################$$$$$$###############$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''((((((((((((''''''''''''''''''&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((&&&&&&'''(((((('''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$###$$$$$$$$$#########""""""###$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''')))))))))))))))(((''''''((((((((((((((((((((('''))))))*********++++++++++++))))))+++...///---+++******+++++++++,,,,,,,,,---------............///000000000000////////////000000000111111111222222333333444555555555555555777777888888999::::::;;;999999888888999;;;===>>>@@@@@@?????????????????????@@@BBBDDDFFFHHHJJJKKKGGGFFFEEEDDDDDDDDDDDDDDDDDDDDDDDDCCCBBBBBBCCCEEEGGGFFFEEEDDDCCCBBBBBBBBBDDDDDDDDDEEEFFFEEECCC@@@AAAAAABBBBBBCCCDDDDDDDDDAAA@@@===:::777666555444444222111111222333222222222222333333333333444444555555444222111000......000000000000////////////////////////////////////------------------------........................---------------...//////////////////............000000000///////////////111000000///000111222333222111111000000000000000000000111111222333333333111111222444555666777888<<<===<<<:::777777888999777888:::;;;<<<;;;:::999888999;;;<<<>>>@@@BBBBBBDDDCCCBBB???<<<<<<>>>@@@???>>>>>>>>>??????===;;;777777777777666555333222111111000///...---,,,,,,***************************))))))(((((((((((((((((('''&&&&&&&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%888777555666888999888888555555555555444333222111............------,,,,,,......------,,,,,,++++++)))))))))(((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""###############""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$########################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""######$$$$$$$$$###!!!"""$$$&&&''''''&&&$$$###"""!!! $$$$$$$$$$$$$$$$$$$$$$$$########################$$$###############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''((((((((((((''''''(((''''''&&&%%%%%%$$$$$$'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((&&&&&&'''(((((('''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$$$$###############$$$$$$$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''(((((()))))))))(((''''''''''''(((((((((((((((((()))))))))*********++++++***))))))+++---...---+++******+++++++++,,,,,,,,,---------............///////////////000000000000111111111111222222222333444444555666666666666555888999999:::;;;;;;<<<<<<<<<;;;;;;:::;;;<<<===>>>???@@@BBBCCCCCCAAA???===@@@@@@BBBCCCEEEGGGHHHIIIGGGFFFFFFEEEEEEEEEEEEEEEDDDEEEEEECCCAAAAAABBBDDDHHHHHHIIIIIIGGGEEECCCAAAAAAAAAAAACCCEEEEEEDDDBBBCCCDDDDDDDDDCCCAAA@@@>>>@@@>>><<<:::777666555444333222000000222333222111222222222333333444444444333333444444333222111000000000000//////.........////////////////////////---------------------------------------------------------------......///////////////......------000000000000000000000000111111000000111111222333111111000000111111222222000111111222333333444444000000111222444555666666<<<<<<<<<:::777666777888777888:::;;;;;;;;;:::999666777888:::<<<>>>@@@AAADDDDDDCCC@@@===<<<===???>>>>>>===???AAAAAA@@@???:::999999777666333111000000000///...---,,,,,,+++***************************)))((((((''''''((((((((('''&&&&&&&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''999777666666777888888777555555555555444333222111//////...---------,,,,,,......------,,,++++++***)))))))))(((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""############""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$########################""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""######!!!""""""!!! !!!###&&&&&&%%%%%%$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$#################################"""######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''''''''(((((((((((('''''''''''''''&&&&&&&&&%%%%%%'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((&&&''''''''''''''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$##############################%%%%%%$$$$$$######""""""########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((((((((((((((''''''''''''''''''(((((((((((())))))))))))************))))))***+++,,,,,,++++++******+++++++++,,,,,,,,,---------............///......//////000000111111111111222222222333333333444555555666777666666666888999999::::::;;;;;;<<<>>>>>><<<<<<;;;<<<===>>>>>>@@@DDDFFFFFFCCC???<<<@@@AAAAAACCCDDDEEEFFFFFFGGGFFFFFFEEEEEEEEEFFFFFFDDDEEEEEEDDDBBB@@@AAABBBFFFGGGJJJLLLKKKHHHEEEBBBBBBAAAAAACCCDDDEEECCCAAACCCCCCDDDDDDCCC@@@===;;;>>>===;;;999777666555444333111000000111222222111222222222333333444444444111222444555666444333111/////////...------,,,,,,////////////////////////------------------------------------------------------,,,,,,------...///000//////......------,,,.........///////////////111111111111111222222333////////////000111222333111111111222333333444444000000111222333444555666:::;;;;;;999777666777888777888999::::::::::::999555666888999<<<>>>???@@@DDDDDDDDDAAA>>>======>>><<<<<<<<<>>>@@@BBBAAA@@@<<<;;;999777444222///...//////......---,,,,,,+++************************))))))(((''''''''''''((('''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((999888666666777888888777555555555555444333222111111000///------,,,------...------,,,++++++******)))))))))(((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""############""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$########################""""""#########$$$$$$$$$##############################""""""""""""######!!!""""""""" !!!###$$$$$$$$$$$$$$$$$$%%%%%%########################""""""""""""""""""""""""######""""""###$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''((((((((((((''''''&&&&&&''''''(((((((((((('''&&&&&&&&&&&&'''(((((((((((((((((((((((((((((('''''''''&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###"""########################$$$$$$$$$######"""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''((((((((((((''''''&&&'''''''''(((((())))))(((((()))))))))*********((()))***+++******************+++++++++,,,,,,,,,---------............///......//////000000111111111111222222222333333333444555555666777666666666777777777888999999::::::???>>>===<<<;;;<<<======<<>><<<;;;888666333000...---......------,,,,,,++++++)))))))))))))))))))))))))))(((((('''''''''''''''&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&'''((((((:::888666666777888777666555555555555444333222111222111///---,,,,,,------------,,,,,,++++++******)))))))))(((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""###############""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$########################"""############$$$$$$$$$""""""""""""""""""""""""######""""""""""""######"""$$$%%%$$$###"""###$$$""""""######$$$%%%%%%%%%""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''((((((((((((''''''&&&&&&''''''((())))))***'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((((('''&&&&&&&&&&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######"""###############$$$$$$$$$###############"""""""""###########################$$$$$$$$$$$$%%%%%%%%%##############################$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&'''(((((((((''''''&&&&&&''''''((()))))))))((((((((()))))))))******''')))++++++)))((()))*********+++++++++,,,,,,,,,---------............///////////////000000000000111111111111222222222333444444555666666666666555555666666777777888999999======;;;::::::;;;<<<===:::===@@@CCCDDDBBB???===>>>???@@@AAABBBCCCDDDDDDDDDDDDDDDDDDDDDEEEEEEFFFBBBCCCEEEDDDBBBAAAAAAAAA@@@BBBDDDFFFHHHHHHGGGGGGHHHFFFDDDCCCCCCBBB@@@>>><<<===>>>>>>>>>>>>===<<<999999999999777666444444222111//////111222111000111111222333333444555555666666777777666555444333444444333333222111000000------------------------------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------...------------------------******++++++,,,---------//////000111111111111000---,,,------...///000111///000000111222222333333111111222333333444555555444666888888888777888999888888888888999999999:::999999:::;;;<<<===>>>>>>???AAABBBBBB@@@===<<<<<<::::::999;;;======<<<::::::888666333111///...---------,,,,,,,,,+++++++++)))))))))))))))))))))))))))(((''''''&&&&&&''''''&&&&&&'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((:::888666666777888777666555555555555444333222111333222///---,,,,,,---...------,,,,,,+++*********)))))))))(((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$######""""""######$$$%%%########################"""############$$$$$$$$$########################"""############$$$$$$$$$##############################""""""""""""######"""###%%%%%%###"""###$$$""""""##########################################""""""""""""""""""""""""""""""""""""###$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&''''''(((((((((((('''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((((('''&&&&&&&&&&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$###""""""""""""#########$$$$$$$$$""""""""""""##########################################$$$$$$$$$%%%%%%%%%##############################$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&''''''((((((''''''&&&&&&''''''((())))))***(((((((((((()))))))))***''')))+++***((('''(((*********+++++++++,,,,,,,,,---------............///000000000000////////////000000000111111111222222333333444555555555555555555555666777777888888999;;;:::999999999:::;;;<<<888:::===???@@@@@@@@@???======>>>@@@AAACCCDDDDDDCCCCCCCCCCCCCCCDDDEEEEEE@@@BBBDDDDDDBBBAAAAAABBBAAAAAAAAAAAABBBDDDEEEFFFGGGEEEBBBAAAAAA@@@???===;;;;;;;;;;;;;;;;;;<<<<<<888888999888777666444333222111//////111111111000000111111222444555555666:::999888777555444333222444444333222111000//////,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,---...+++,,,,,,------......///******+++,,,,,,---......---...///000111000//////...............///000111...//////000000111222222000000111111222333333333111333666888888888999:::888888888888888999999::::::::::::;;;;;;;;;<<<<<<<<<>>>AAAAAA@@@===<<<<<<<<<;;;:::;;;<<<;;;:::888777555333111///.........,,,,,,,,,,,,++++++++++++))))))))))))))))))))))))(((((('''&&&&&&&&&&&&'''&&&&&&'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''''':::888777666777888777666555555555555444333222222444222///---,,,,,,---...------,,,,,,+++******))))))))))))(((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%#########"""###$$$$$$%%%"""""""""""""""""""""""""""############$$$$$$$$$########################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""###### !!!######!!! !!!"""$$$#########""""""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""""""""""""""###$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&''''''((((((((((((''''''(((''''''&&&&&&%%%%%%$$$'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((((('''&&&%%%%%%&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########################$$$$$$$$$$$$###""""""""""""######$$$$$$$$$$$$!!!!!!""""""######$$$$$$""""""""""""""""""""""""#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&'''((((((((('''&&&&&&&&&'''((())))))***(((((((((((())))))))))))&&&)))+++***(((&&&((()))******+++++++++,,,,,,,,,---------.........//////111111000000//////......///000000000000111111111222333444444555555444444666666666777888888999999999999888777888999:::;;;777888:::<<<>>>???@@@AAA<<<<<<>>>???AAACCCDDDEEEBBBBBBBBBBBBBBBCCCDDDEEE???AAACCCDDDCCCBBBBBBBBBBBBAAA???>>>???@@@BBBDDDEEEBBB@@@???@@@@@@>>>===;;;::::::999999::::::;;;777888888888888666444333222000//////000111111000000111111222444555666666===;;;999777555333222222111111000///...---,,,,,,++++++++++++++++++++++++------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,---...***++++++,,,---...//////++++++,,,------...//////,,,---///000000000///...///////////////000000111.........///000000111111//////000000111111222222///222555888888999:::;;;888888777777888888999::::::::::::::::::::::::::::::===@@@AAA???===<<<<<<>>>===;;;;;;<<<;;;888666444333111000.........///,,,,,,++++++++++++++++++))))))))))))))))))))))))(((((('''&&&&&&&&&&&&'''%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''999888666777888888777666555555444333222222222222000000///...------,,,,,,//////...---,,,,,,,,,,,,---,,,,,,+++***(((&&&%%%########################$$$$$$######$$$$$$%%%&&&%%%$$$$$$######$$$$$$%%%""""""""""""""""""""""""$$$$$$$$$#########""""""########################""""""###$$$$$$$$$$$$###%%%$$$######%%%%%%$$$###$$$""" """%%%&&&%%%#########$$$$$$$$$$$$######"""!!!!!!!!!"""""""""!!!""""""""""""""""""""""""!!!###$$$###"""!!!"""###%%%%%%%%%$$$###"""!!!!!!########################$$$#########""""""!!!!!!%%%$$$###$$$'''(((&&&###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%''''''((((((''''''&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%$$$$$$$$$%%%&&&&&&'''''''''&&&&&&'''''''''$$$$$$######$$$$$$%%%&&&%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""!!!!!!""""""""""""!!!!!!"""""""""""""""""""""""""""############$$$$$$$$$"""############$$$$$$$$$%%%$$$"""!!!!!!"""$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((((((((())))))))))))))))))))))))))))))***++++++++++++***---,,,,,,,,,,,,---..................////////////000000000000000000000000111111222222222333333333222222111222333555777999888777777666777999:::;;;999999999:::::::::;;;;;;@@@@@@?????????@@@AAAAAAAAABBBBBBBBBCCCCCCDDDDDD@@@AAABBBBBBCCCCCCBBBBBBDDDBBB???>>>???@@@@@@???============<<<<<<;;;:::666666666666777777777777666666666555444333111111222111///.........///000222222333333333444444444999777555222000///......000111111000...,,,---...,,,++++++******+++,,,,,,+++******+++---......---+++++++++*********))))))******+++++++++,,,,,,,,,,,,++++++******++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------.../////////......---------......//////000000111111/////////000111111222222555444333222333555777999;;;:::999888777777777777777777888888888999999999;;;<<<===??????===<<<;;;999999999888777666666555222111000///...---,,,+++************************+++******)))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&999888777777888888777666555555444333222222222222000//////...------,,,,,,//////...---,,,,,,,,,,,,******((('''&&&$$$######%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%$$$$$$######$$$$$$%%%########################%%%%%%%%%$$$$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&""""""###$$$$$$$$$$$$###%%%$$$######%%%%%%$$$###$$$"""!!!"""%%%&&&$$$#########$$$$$$$$$$$$######"""!!!!!!!!!"""""""""!!!""""""""""""""""""""""""!!!###$$$###"""!!!"""###%%%$$$$$$$$$###"""""""""##########################################""""""%%%######$$$''''''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%$$$''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%$$$$$$$$$$$$$$$%%%'''&&&&&&%%%%%%&&&&&&'''$$$$$$######$$$$$$%%%&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""""""""############"""""""""""""""""""""""""""""""""############$$$$$$$$$"""############$$$$$$$$$%%%$$$"""!!!!!!"""$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((((((((((((((()))******+++++++++++++++,,,,,,,,,,,,,,,---..................////////////000000000000000000000000111111111111222222222222222222222222333555666777888777777777777999:::;;;999999999::::::::::::;;;?????????@@@@@@@@@@@@@@@AAAAAABBBBBBCCCBBBBBBBBB@@@@@@AAABBBBBBBBBBBBBBBCCCAAA??????@@@@@@???===::::::::::::999888777666444444444444555555555555444555555444444333222111111111///.........///000000000000111111111222222666444222000...---------+++,,,------,,,,,,---...,,,,,,+++*********+++++++++***)))+++---......---,,,,,,,,,++++++******************+++++++++,,,,,,,,,++++++******++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,---------....../////////.........---------,,,,,,....../////////000000000/////////000111111222222444333222222333444666888999888777777666666777777777777777888888888999999:::;;;===>>>>>>===;;;::::::999888777666555444444111111000///...---,,,+++******************************))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&999888777777888888777555555555444333333222222111/////////...------,,,,,,///......---,,,,,,++++++---,,,***((('''&&&&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$%%%&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$""""""""""""""""""""""""""""""###$$$$$$$$$$$$###%%%$$$######%%%%%%$$$###$$$"""""""""$$$%%%$$$#########$$$$$$$$$$$$######"""!!!!!!!!!""""""!!!!!!""""""""""""""""""""""""!!!###$$$###"""!!!"""###$$$$$$###################################################$$$$$$$$$$$$$$$$$$######$$$&&&'''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&''''''''''''''''''&&&&&&&&&''''''((((((''''''&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$#########$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$######$$$$$$%%%&&&%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""######$$$$$$$$$$$$######"""""""""""""""""""""""""""############$$$$$$$$$"""############$$$$$$$$$%%%$$$###""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((((((((((((******+++,,,,,,,,,,,,+++,,,,,,++++++,,,,,,---...---............/////////000000000000000000000000//////000000000111111111333333222222333333444555777777777777888999::::::888888999999999:::::::::===>>>???@@@@@@@@@??????@@@@@@AAABBBBBBAAA????????????@@@AAAAAAAAAAAAAAAAAA@@@???@@@@@@@@@===;;;888888888888777666555444111111111222222222333333222333333333333333222222111000//////......//////---............/////////111000...---,,,,,,,,,,,,&&&(((*********+++---///---,,,+++***************+++***)))***,,,------,,,,,,,,,,,,,,,++++++++++++*********++++++++++++,,,++++++************++++++---------,,,,,,+++++++++,,,------...///000000111------------,,,,,,,,,,,,.........///////////////...//////000000111111222222222111111222333444555555555555555555666666777666666777777777888888888999:::;;;<<<<<<;;;:::999:::999888777555444222222000//////...---,,,,,,+++***************************))))))(((((('''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&:::888777777888888666555444444444444333222111111//////.........---------............---,,,++++++...---***(((''''''((()))''''''&&&&&&%%%%%%$$$$$$$$$$$$######$$$$$$%%%&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!!!!!!!!!!!!!!!!""""""###$$$$$$$$$$$$###%%%$$$######%%%%%%$$$###############$$$$$$$$$#########$$$$$$$$$$$$######!!!"""""""""!!!!!!!!!"""""""""""""""""""""""""""!!!###$$$###"""!!!"""##################$$$$$$$$$#################################$$$$$$%%%%%%&&&######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''''')))))))))))))))(((''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((&&&%%%$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$########################"""""""""""""""""""""""""""######$$$$$$######"""""""""""""""""""""""""""""""""#########$$$$$$$$$""""""#########$$$$$$$$$$$$$$$###""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((((((((((((((((((((((((((******+++,,,,,,,,,,,,,,,+++++++++++++++,,,,,,------------.........//////////////////////////////........./////////000000333333222222222222222222666666666777777888999999888888888888999999999999:::<<<>>>@@@@@@@@@>>>===>>>???@@@AAA@@@???===;;;>>>>>>???@@@@@@@@@@@@???>>>>>>???@@@AAA???<<<999888888888888777666444444///000000000111111111111000111111222333333222222000000//////............,,,,,,,,,---------......------,,,,,,,,,+++++++++%%%''')))))))))***,,,...---,,,+++***))))))))))))+++))))))***+++,,,,,,+++++++++******************************++++++++++++++++++************++++++...------,,,,,,++++++***+++,,,,,,---...///000000,,,,,,,,,,,,,,,,,,,,,,,,..............................//////000111111111000111111111222222222222222222222222333555666777555555666666666777777777888999999::::::999999888999999777666444222000000......------,,,,,,++++++************************))))))((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&:::999777777888777666444444444444444444222111000...............---------............---,,,+++******)))&&&$$$###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$###$$$$$$######$$$$$$%%%&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""############$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$###%%%$$$######%%%%%%$$$######$$$$$$$$$##################$$$$$$$$$$$$###### """###"""!!! !!!###""""""""""""""""""""""""!!!###$$$###"""!!!"""##################$$$$$$$$$#################################$$$$$$%%%%%%&&&"""###$$$%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&'''''''''''''''''''''(((((((((((('''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&))))))(((&&&%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$########################""""""""""""""""""""""""!!!!!!""""""""""""!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!""""""#########$$$$$$$$$""""""#########$$$$$$$$$$$$##################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''******+++,,,,,,,,,,,,++++++************+++,,,,,,------------....................................------........./////////222222222222222111111111444444555666777777777777777777777888888888999999999:::===???@@@???>>>=========>>>>>>===<<<;;;:::<<<======>>>>>>>>>>>>>>>======>>>@@@@@@>>>:::777888888888777666555333333//////000000000111111111...///000111222222222222///////////////......---,,,,,,,,,,,,---------...+++,,,,,,,,,,,,,,,,,,,,,''')))******))))))***+++,,,+++******)))))))))******)))((()))+++++++++)))((((((((((((((()))))))))))))))*********++++++++++++******))))))******+++---------,,,,,,+++++++++******+++,,,------......,,,,,,,,,,,,,,,,,,,,,,,,.........---------------.........///000000111111///000111222222222111000//////000111222444555666444444555555555666666666777777888888888888777777888777666444222000///...,,,,,,,,,,,,++++++++++++))))))))))))))))))))))))((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&;;;999888777888777666444333444555555444333111000........................---......///...,,,+++******)))'''&&&%%%%%%&&&&&&$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!"""""""""""""""########################""""""###$$$$$$$$$$$$###%%%$$$######%%%%%%$$$######$$$%%%$$$"""""""""$$$######$$$$$$$$$$$$######"""$$$### !!!$$$""""""""""""""""""""""""!!!###$$$###"""!!!"""###$$$$$$###################################################$$$$$$$$$$$$$$$!!!###%%%%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&%%%$$$$$$###''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%)))((('''&&&&&&%%%&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$######$$$$$$%%%&&&###$$$$$$$$$$$$%%%%%%%%%###########################$$$$$$$$$$$$%%%%%%%%%########################""""""""""""""""""""""""!!!!!!""""""""""""!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!"""############$$$$$$$$$"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''''''''))))))***++++++++++++*********))))))******+++,,,,,,------------.................................------........./////////111111222222222111111000222222333444555555555555666777777777777888888888888999;;;===>>>>>>>>>===;;;;;;;;;;;;::::::::::::;;;;;;<<<===============<<<<<<===>>>???===:::777777777777666555333222111/////////000000000111111......///000111111111000...////////////...------,,,,,,,,,,,,------------++++++,,,,,,,,,,,,++++++)))***+++***)))((()))*********)))))))))******+++***)))((()))***+++***((('''''''''''''''((((((((()))))))))************+++******))))))))))))******,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,---------------------------,,,,,,,,,---......//////000000111...000222333333222000///...//////000222333555666333333444444444555555555666666666666666666666666666555444333111000......************++++++++++++))))))))))))))))))))))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&;;;999888777888777555444333444555555444333111///........................---...//////...---+++)))*********)))((((((''''''$$$$$$%%%%%%&&&&&&''''''$$$$$$######$$$$$$%%%&&&%%%$$$$$$######$$$$$$%%%########################!!!!!!""""""############""""""""""""""""""""""""""""""###$$$$$$$$$$$$###%%%$$$######%%%%%%$$$######$$$&&&$$$"""!!!"""$$$######$$$$$$$$$$$$######"""%%%### !!!$$$""""""""""""""""""""""""!!!###$$$###"""!!!"""###%%%$$$$$$$$$###"""""""""##########################################"""""" ###%%%%%%###"""###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$######$$$$$$%%%&&&######$$$$$$$$$%%%%%%%%%##############################$$$$$$$$$%%%%%%%%%########################"""""""""""""""""""""""""""""""""######"""""""""!!!!!!!!!!!!!!!!!!!!!!!!"""############$$$$$$$$$"""############$$$$$$$$$#########$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''(((((()))************))))))))))))))))))***++++++,,,,,,---------.........------------------------............///////////////000111222222111111000///000222333444444333333666666666777777777888888999999:::;;;<<<===>>>>>>:::999888777777999:::;;;::::::;;;<<<<<<<<<<<<<<<<<<<<<<<<======<<<999777999999888777666444222111........./////////000000......///000000000//////....../////////...---,,,++++++++++++,,,,,,,,,,,,******+++,,,,,,+++***)))((()))***)))((('''(((***)))(((((())))))***+++,,,***)))(((((()))***)))((('''''''''((((((((())))))))))))))))))******************))))))))))))*********++++++,,,,,,------...------,,,,,,,,,,,,++++++,,,,,,---------.........---------,,,,,,,,,++++++------......///000000000...000222444444222000.../////////000111333444555333333333333444444444444555555444444444444555555444333333222000///......)))))))))*********++++++))))))))))))))))))))))))''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&;;;:::888777888777555333333444555555555333111///---.....................---.../////////---+++)))&&&'''''''''&&&%%%$$$###$$$%%%%%%&&&'''((())))))$$$$$$######$$$$$$%%%&&&%%%$$$$$$$$$$$$$$$$$$%%%""""""""""""""""""""""""""""""######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$$$$$$$$$$###%%%$$$######%%%%%%$$$######%%%&&&%%%""" """$$$######$$$$$$$$$$$$######"""%%%### !!!$$$""""""""""""""""""""""""!!!###$$$###"""!!!"""###&&&%%%%%%$$$###"""!!!!!!########################$$$#########""""""!!!!!! ###%%%%%%###"""###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''#########$$$$$$%%%%%%%%%)))))))))))))))(((((('''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%#########"""######$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$######$$$$$$%%%&&&#########$$$$$$%%%%%%%%%""""""""""""""""""""""""#########$$$$$$%%%%%%%%%""""""""""""""""""""""""""""""""""""""""""""""""######$$$$$$$$$$$$######!!!!!!!!!!!!!!!!!!!!!!!!"""############$$$$$$$$$"""############$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''((())))))))))))))))))))))))))))))******+++,,,,,,,,,---------......------------------------........./////////000000...///000222222222111000...///111222333333222222666666666666777777777777999999999999;;;<<<>>>???:::888666555666888;;;===999:::;;;;;;<<<<<<;;;;;;===<<<;;;<<<<<<<<<999777<<<<<<;;;:::999777555444---------.........//////...///////////////......---.../////////...,,,,,,************++++++++++++)))******++++++***((('''&&&'''((((((''''''(((***'''((((((((()))+++,,,---***)))(((((()))***)))''''''((((((((())))))******))))))))))))******************))))))))))))******)))***+++,,,------...//////......------,,,++++++---------....../////////---------,,,,,,+++++++++------......///000000000...000333555555333000...//////000000111333444555222222333333333444444444555444444333333444444555333222222111000//////...(((((())))))******++++++))))))))))))))))))))))))&&&'''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&:::999888777666666666666444444333333333333222222.........///////////////000///---,,,++++++,,,---)))))))))(((''''''&&&&&&'''&&&%%%%%%%%%%%%&&&'''&&&%%%#########%%%''')))$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$""" !!!$$$%%%### $$$$$$$$$$$$$$$$$$$$$$$$########################""""""""""""""""""""""""""""""""""""""""""""""""!!!!!!!!!!!!""""""""""""""""""############""""""######$$$$$$$$$%%%%%%%%%$$$###"""!!!!!!!!!"""###############""""""!!!!!!######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%$$$$$$##################$$$$$$%%%%%%%%%""""""$$$%%%%%%%%%%%%%%%################################################""""""""""""""""""""""""!!!!!!!!!!!!!!!!!!!!!!!!""""""############""""""""""""""""""""""""""""""""""""!!!!!!!!!!!!""""""""""""""""""""""""""""""""""""############""""""!!!""""""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''(((((((((((())))))))))))))))))))))))******************+++++++++,,,,,,,,,---------,,,,,,+++++++++............////////////.........//////000111222555444222111111222333444666666777888888888888888777888999999888888:::<<<;;;:::888666555666666777777999<<>>;;;999;;;<<<=========<<<:::999888888888:::;;;999444///000///...---...///111333---...000///...,,,---------,,,,,,++++++,,,,,,---++++++++++++++++++++++++,,,,,,,,,+++++++++******))))))************))))))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))(((((((((((()))))))))******+++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,------..................---------------............///------,,,++++++,,,,,,,,,,,,------...///000000111000111333555555444333222000000000000000000000000222333444444555555444444222222333444555666777888444222111///---,,,++++++************))))))))))))))))))(((((('''''''''&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&:::999888777666666666666444444333333333333222222.../////////////////////000///---,,,++++++,,,,,,)))))))))(((''''''&&&&&&&&&%%%$$$$$$$$$$$$%%%&&&%%%%%%$$$###$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$###""""""###$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$################################################""""""""""""""""""""""""!!!!!!!!!!!!"""""""""###""""""############""""""############$$$$$$$$$%%%$$$######"""###$$$%%%&&&$$$$$$#########"""""""""######$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%########################################################################""""""""""""""""""""""""########################""""""############""""""""""""""""""""""""""""""""""""!!!!!!!!!!!!""""""""""""""""""""""""""""""""""""############"""""""""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$%%%&&&&&&########################%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''((((((((())))))))))))))))))))))))*********************+++++++++,,,,,,---------,,,,,,+++++++++............////////////.........//////000111222444444333333333333333444444555666666777777666666777888::::::999999;;;<<<;;;:::888777666666777777888:::<<<>>>>>>===;;;:::;;;<<<=========<<<:::999:::999999;;;<<<:::555111111000.........///111222---...000///...,,,------,,,,,,++++++++++++,,,,,,++++++++++++++++++++++++,,,,,,+++++++++*********))))))************))))))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))******+++++++++++++++++++++++++++++++++++++++,,,,,,,,,------.........---------------------------............------,,,,,,+++,,,,,,---------...//////000111111000111333444555444333222111111111111111111111111111222333333444444333333333333333333333444444444000000...---,,,,,,,,,,,,*********)))))))))(((((()))((((((((('''''''''&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&999999888777666666666666444444333333333333222222//////////////////......//////...,,,,,,,,,,,,,,,)))))))))(((''''''&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$%%%%%%$$$###""""""###$$$$$$$$$$$$$$$$$$$$$$$$################################################""""""""""""""""""""""""!!!!!!!!!"""""""""######""""""############"""""""""""""""#########$$$$$$#########$$$%%%&&&((()))$$$$$$$$$$$$$$$###############$$$$$$$$$%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$$$$$$$%%%%%%%%%%%%$$$###!!!!!!!!!!!!"""################################################""""""""""""""""""""""""########################""""""############""""""""""""""""""""""""""""""""""""!!!!!!!!!!!!""""""""""""""""""""""""""""""""""""############""""""############$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$%%%&&&&&&"""###$$$%%%%%%$$$###"""%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((()))))))))))))))))))))*********************++++++++++++,,,------,,,,,,,,,,,,++++++---............/////////.........//////000111222333333444444555444444333333444444555666555555555666888;;;<<<;;;:::;;;<<<;;;:::999888888777888888999:::;;;<<<<<<<<<;;;;;;;;;<<<=========<<<:::999::::::;;;<<<<<<:::666333111111///......///000000---...000///...,,,------,,,,,,++++++++++++,,,,,,++++++++++++++++++++++++++++++++++++*********)))((())))))******))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((()))******++++++))))))))))))************++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,------------------------,,,,,,,,,---------......---,,,,,,,,,,,,,,,------......//////000000111111000111222333444333222222111111111111111111111111111111222333333333333333333333222222111111111000...---,,,,,,,,,,,,,,,,,,******))))))))))))((((((((((((((('''''''''''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&888888777666666666666666444444333333333222222222////////////............///......---,,,,,,++++++)))))))))(((''''''&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%###$$$%%%%%%%%%###!!! $$$$$$$$$$$$$$$$$$$$$$$$################################################$$$&&&(((&&&"""!!!"""%%%########################################################################""""""""""""""""""""""""!!!!!!"""""""""#########""""""############""""""!!!""""""""""""###############$$$$$$%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$"""!!! !!!###$$$################################################""""""""""""""""""""""""########################""""""############""""""""""""""""""""""""""""""""""""!!!!!!!!!!!!""""""!!!!!!!!!!!!!!!!!!!!!!!!""""""############""""""######$$$$$$$$$%%%%%%%%%####################################$$$$$$$$$$$$########################"""######$$$$$$%%%&&&&&&$$$%%%'''))))))'''%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((())))))((()))))))))************************++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,---------.........//////............///000111222222333444666666555444333333333444555555555555555555888;;;===<<<;;;;;;<<<;;;::::::999999888888888;;;:::::::::::::::;;;;;;:::;;;<<<<<<<<<;;;:::999999:::;;;;;;;;;888666333222111000///......//////---...000///...,,,,,,---++++++************++++++************************+++************)))))))))(((((())))))))))))((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''((()))***+++,,,,,,******++++++++++++++++++***************************++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,---------+++,,,,,,,,,---------------,,,,,,,,,,,,------.../////////000000000111111000000111222333222222222222222222222222222222222111222333333444444333333222222222111111111000000///...---,,,+++++++++,,,***)))))))))((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&888777666666666666666666444444333333333222222222000000//////.........---.........------,,,++++++)))))))))(((''''''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%"""###%%%&&&%%%###!!!$$$$$$$$$$$$$$$$$$$$$$$$###################################################&&&'''&&&###!!!###%%%########################################################################""""""""""""""""""""""""""""""""""""############""""""############""""""!!!""""""""""""############$$$$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$"""!!!"""$$$&&&'''################################################""""""""""""""""""""""""""""""""""""""""""""""""""""""############""""""""""""""""""""""""""""""""""""!!!!!!!!!!!!""""""!!!!!!!!!!!!!!!!!!!!!!!!""""""############""""""######$$$$$$$$$%%%%%%%%%########################"""""""""######$$$$$$$$$########################"""######$$$$$$%%%&&&&&&%%%'''(((******((('''%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((((()))))))))************))))))*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------........................///000111222111222444555666555444333333444555555666666555555444777:::<<<<<<;;;;;;<<<::::::::::::999999999888;;;:::999999888999:::;;;999::::::;;;;;;999888777777888999999777555333222111111000////////////...---...000///...,,,,,,---+++******))))))******+++*********************************)))))))))(((((((((((())))))))))))((((((((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''')))***+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,*********************************+++++++++,,,,,,++++++++++++,,,,,,------++++++++++++,,,,,,,,,------,,,,,,,,,------...///////////////000000000000000000111111111222111111111111111111111111111111222222333444444444444444000111111111111222222222222111///---,,,+++******)))))))))(((((((((((('''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&777666666555555666666666444444333333333333222222000000000///......------............---,,,+++***)))))))))(((''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%"""###%%%&&&&&&$$$"""!!!$$$$$$$$$$$$$$$$$$$$$$$$###################################################$$$%%%$$$######$$$%%%################################################$$$$$$$$$$$$$$$$$$$$$$$$"""""""""""""""""""""""""""""""""#########$$$$$$""""""############"""""""""""""""#########$$$$$$"""############"""!!! #########$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%!!!"""$$$%%%((()))+++,,,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$############%%%&&&'''################################################""""""""""""""""""""""""!!!!!!!!!!!!!!!!!!!!!!!!""""""############""""""""""""""""""""""""""""""""""""!!!!!!!!!!!!""""""""""""""""""""""""""""""""""""############""""""############$$$$$$$$$%%%########################!!!!!!""""""###$$$$$$$$$########################"""######$$$$$$%%%&&&&&&$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''((((((((())))))))))))************)))))))))************+++++++++,,,,,,,,,,,,------,,,------------..................//////000111222111111222333444444444444333444555555666666555555333666999:::::::::;;;<<<888999999999999999888888::::::999888888888999999777888999999999888666555555666888777444222111222000000000000000/////////---...000///...,,,------******))))))))))))******************************))))))))))))(((((((((((('''(((((())))))(((((('''((((((((((((((((((((((((''''''''''''''''''''''''%%%&&&'''((()))***++++++,,,,,,,,,,,,,,,+++++++++************************************++++++++++++)))******++++++,,,,,,---******+++++++++,,,,,,,,,,,,,,,,,,,,,---...///000.........///////////////000000000000000111111111000000000000000000000000111222222333333333333333000000000111111222222222333222000...,,,+++******))))))((((((((((((''''''&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&666666555555555666666777444444333333333333222222111000000///......---------............,,,+++***)))))))))(((''''''&&&&&&$$$%%%&&&&&&&&&&&&%%%$$$###$$$%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$################################################"""!!!!!!"""$$$%%%$$$$$$################################################$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""""""""#########$$$$$$$$$""""""############""""""############$$$$$$$$$%%% !!!"""#########"""!!!"""""""""#########$$$$$$######$$$$$$$$$%%%%%%%%%"""###$$$%%%'''((()))***$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$#####################$$$$$$$$$################################################""""""""""""""""""""""""""""""""""""""""""""""""""""""############""""""""""""""""""""""""""""""""""""!!!!!!!!!!!!""""""""""""""""""""""""""""""""""""############"""""""""""""""#########$$$$$$########################!!!!!!!!!"""###$$$$$$$$$########################"""######$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''(((((())))))))))))************))))))))))))************+++++++++,,,,,,---------,,,,,,---------..................//////000111222111111111111222333444444222222333444444444444444333555777888888999;;;===777777888999999888777777999999999999888888888777555666777777777666555444444666777666333111111222...//////000000000000000---...000///...,,,------)))))))))(((((()))))))))************************))))))((((((((('''''''''''''''((((((((((((''''''((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%&&&'''((())))))***+++++++++******)))))))))************************************++++++++++++)))))))))***+++,,,,,,,,,************++++++++++++,,,,,,,,,------...///000............------------///////////////000111111//////////////////////////////000111111111111111000000000///////////////000///...,,,+++*********))))))((((((((('''''''''%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&666666555555555666666777444444444333333333222222111000000///...------------......///...,,,+++***)))))))))(((''''''&&&&&&###$$$%%%&&&&&&%%%$$$######$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""########################"""  $$$&&&%%%###""""""""""""""""""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$"""""""""""""""""""""""""""############$$$$$$$$$""""""############""""""###$$$$$$$$$$$$%%%%%%%%% !!!###$$$$$$$$$###!!!!!!""""""#########$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%&&&#########$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$###############$$$$$$###"""!!! ################################################""""""""""""""""""""""""########################""""""############""""""""""""""""""""""""""""""""""""!!!!!!!!!!!!""""""""""""""""""""""""""""""""""""############""""""!!!""""""""""""#########"""""""""""""""""""""""" !!!!!!"""###$$$$$$$$$"""""""""""""""""""""""""""######$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''(((((())))))))))))************))))))))))))************+++++++++,,,,,,---------,,,,,,,,,---------...............//////000111222111000//////000222444555111111222333333333333222333555666666777888;;;===666666888999999888777666999999999999999888777666444555666666666555333333444666888666333000111222---...///000111111000000---...000///...,,,------))))))(((((((((((()))))))))))))))))))))))))))))))))(((((((((''''''''''''''''''((((((((((((''''''((((((((((((((((((((((((((((((((((((((((((((((((%%%%%%&&&&&&'''(((((((((***)))))))))(((((('''''')))))))))))))))))))))))))))************+++++++++((())))))***++++++,,,,,,)))************+++++++++,,,,,,,,,---...///000000---------------------,,,///////////////000111111////////////////////////---......///////////////111000///...---,,,++++++---,,,++++++******++++++)))(((((((((''''''''''''%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&:::999777777888888666555111111222222222333333333???888///,,,...111111000.../////////...,,,***)))++++++***)))((('''&&&&&&###$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$###"""###$$$######"""""""""""""""###!!!"""###$$$$$$###"""!!!""""""""""""""""""""""""###"""""""""$$$%%%$$$###""""""""""""""""""""""""######$$$$$$$$$$$$##############################""""""""""""""""""""""""############"""""""""""""""###%%%%%%###"""###$$$!!!###$$$$$$######$$$%%%$$$$$$$$$#########""""""$$$$$$$$$$$$$$$###"""!!!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&%%%$$$"""!!!######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%######""""""######$$$%%%######$$$$$$$$$$$$############################## !!!"""$$$$$$$$$###"""############""""""""""""!!!"""###$$$$$$###"""!!! """#########"""!!! !!!!!!""""""######!!!!!!!!!!!!!!!"""###############"""""""""""""""""""""""""""""""""""""""!!!!!!!!!!!!"""""""""""""""###%%%%%%###"""###$$$########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''((())))))))))))************(((((())))))*********+++------------------,,,,,,------,,,+++++++++,,,,,,.........///////////////111111111111111111222222333333333333444555666666333444666888999999999888777777777777666666666666444444444555555777888888666444333333333333222000333333333222111000//////........................///000000000000...,,,++++++******)))))))))))))))((()))))))))******************))))))((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&''''''((((((''''''''''''''''''''''''&&&&&&''''''''''''((((((((((((*********)))))))))))))))))))))))))))))))))))))))+++,,,,,,,,,,,,,,,,,,---+++,,,------++++++,,,---++++++,,,------......///,,,---------,,,++++++***........................000///...---,,,,,,,,,------..................---------,,,,,,+++***))))))************))))))))))))******))))))((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''999888666666777777555444444333333333222222111111777333...---000111000---.../////////---,,,***)))******)))((('''&&&%%%%%%######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$###"""###$$$######""""""""""""######"""###$$$$$$$$$###"""!!!"""""""""""""""""""""""""""!!! !!!###$$$###"""""""""""""""""""""""""""######$$$$$$$$$$$$###########################$$$""""""""""""""""""""""""############""""""""""""!!!###%%%$$$###"""######!!!###$$$$$$######$$$%%%$$$$$$$$$#########""""""$$$$$$%%%%%%$$$######"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%######""""""######$$$%%%######$$$$$$$$$$$$##############################!!!""""""############"""############""""""""""""!!!!!!"""######"""!!!!!! !!!"""""""""""""""!!!!!!!!!"""""""""""""""!!!!!!!!!!!!!!!""""""######"""""""""""""""""""""""""""""""""""""""""""""!!!!!!!!!!!!"""""""""###"""###%%%%%%###"""###$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''((((((((()))))))))((()))))))))************,,,,,,,,,---------------...------,,,++++++++++++------............//////000000000111111222222222333222222333333444555666444555777888999:::999999777777777777666666666666444444444444555666777888555444222222333333111000111111111111000///...---------------------------//////000000///---,,,++++++***))))))(((((())))))(((((()))))))))*********))))))))))))((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&''''''''''''(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))+++++++++,,,,,,,,,,,,---+++,,,------++++++,,,---+++++++++,,,------......---------------,,,++++++........................111111000000///......---,,,------......------,,,------,,,++++++***))))))*********)))))))))((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((888777555555666666444333555555444333222111000000000...---///111111...+++/////////...---,,,+++***))))))((('''&&&%%%$$$$$$###$$$$$$$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$###"""###$$$######"""""""""######$$$$$$$$$%%%%%%$$$###""""""""""""""""""""""""""""""!!! """###"""!!!""""""""""""""""""""""""######$$$$$$$$$$$$######"""""""""######$$$$$$$$$""""""""""""""""""""""""############""""""""""""!!!###$$$$$$###""""""###!!!###$$$$$$######$$$%%%$$$$$$$$$###############%%%%%%%%%%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$%%%######""""""######$$$%%%######$$$$$$$$$$$$##############################$$$###""""""""""""""""""############"""""""""""" !!!!!!""""""!!!!!! !!!!!!!!!!!!!!!"""######""""""""""""""""""!!!!!!!!!!!!!!!!!!""""""""""""""""""""""""""""""######""""""""""""""""""""""""!!!!!!!!!"""""""""######"""###%%%%%%###"""###$$$################################################$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&'''''''''((((((((())))))))))))************+++++++++,,,,,,------.........---,,,++++++******,,,,,,,,,------............//////000111222222333222222222222333444555555555555777888999:::::::::777777777777666666666666444333333444444555666777555333222222222222111//////000000000///...---,,,------------------------...............---+++++++++***))))))(((((())))))(((((((((((()))))))))))))))))))))(((((((((((('''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&''''''&&&''''''''''''((((((((())))))))))))))))))))))))))))))))))))))))))))))))++++++++++++,,,,,,------+++,,,---,,,+++***+++---)))******+++,,,,,,---------............---,,,,,,........................111222222222222000///...+++,,,,,,------,,,,,,+++,,,,,,,,,+++******))))))******))))))))))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''(((999777666666666666555333555444444333222222111111///......///111000---***///.........---,,,++++++***)))((((((&&&&&&%%%$$$%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$###"""###$$$######""""""######$$$$$$&&&%%%%%%%%%$$$######""""""""""""""""""""""""""""""!!! !!!#########"""""""""""""""""""""""""""######$$$$$$$$$$$$######!!!!!!""""""######$$$$$$""""""""""""""""""""""""############"""""""""!!!!!!###$$$$$$"""""""""###!!!###$$$$$$######$$$%%%########################%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""!!!!!!!!!############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$######""""""######$$$%%%######$$$$$$$$$$$$##############################%%%$$$###!!!!!!!!!"""###############"""""""""!!! !!!!!!!!!!!! """!!! !!!###$$$$$$######""""""!!!!!!!!! !!!!!!""""""""""""""""""""""""""""""#########""""""""""""""""""""""""!!!!!!"""""""""#########"""###%%%%%%###"""###$$$########################""""""""""""""""""""""""$$$$$$$$$###$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$%%%%%%&&&%%%%%%&&&&&&&&&'''''''''&&&&&&'''''''''((((((((()))))))))))))))*********)))******+++,,,------............---,,,+++***)))+++++++++,,,,,,------...------...///000222222333111111111111222333444555555555666888999999::::::777777777777666666666666333333333333333444555555444222111111111111000...///////////////...------,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,++++++*********)))((((((((((((((('''''''''((((((((())))))((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''''''''&&&&&&%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&'''''''''((((((((((((((()))))))))))))))))))))))))))))))))))))))*********+++,,,,,,------***,,,,,,,,,+++***+++,,,)))))))))***++++++,,,,,,---......///......------........................000111222333222000...,,,+++++++++,,,,,,+++++++++,,,+++++++++******))))))***)))))))))((((((((((((''''''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((((((:::888777777777777666444333333333333333333333333222111000//////...---,,,///......---,,,,,,,,,,,,+++******)))((('''&&&&&&&&&'''''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$###"""###$$$###############$$$%%%%%%&&&%%%%%%$$$$$$#########""""""""""""""""""""""""###"""!!!"""$$$%%%$$$###""""""""""""""""""""""""######$$$$$$$$$$$$######!!!!!!"""""""""#########""""""""""""""""""""""""############"""""""""!!!!!!"""$$$$$$"""!!!"""###!!!###$$$$$$######$$$%%%########################$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######!!!!!!!!!"""###$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%""""""#########$$$$$$$$$######""""""######$$$%%%######$$$$$$$$$$$$##############################%%%$$$###!!!!!!!!!"""###############"""""""""!!!!!!!!! !!!!!!"""!!! !!!###$$$$$$$$$######""""""!!!!!! !!!"""###""""""!!!!!!!!!""""""############""""""""""""""""""""""""""""""""""""############"""###%%%%%%###"""###$$$########################""""""""""""""""""""""""$$$############$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&&&&'''''''''((((((((()))))))))******))))))))))))))))))))))))******+++,,,---------------------+++***)))******++++++,,,------...,,,------///000111222222111111111111111222444444555555666666777888999:::777777777777666666666666222222222222222333333444333111000///000000///---/////////000//////......,,,,,,,,,,,,,,,,,,,,,,,,+++++++++******************))))))((('''(((((((((&&&''''''''''''((((((((('''''''''''''''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&'''&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''(((((())))))))))))))))))))))))))))))))))))))))))***++++++,,,------***+++,,,,,,******+++,,,(((((()))******++++++,,,------......///......---...........................///111111111///,,,+++***++++++++++++++++++***++++++***************))))))))))))(((((((((((('''''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''(((''''''&&&&&&''''''((('''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((:::999777777888888666555222333333333444444444555444333111///...---......///...---,,,,,,,,,,,,---++++++***)))((('''&&&&&&&&&''''''''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$###"""###$$$###############$$$%%%&&&$$$$$$############$$$%%%""""""""""""""""""""""""$$$""""""###$$$%%%$$$###""""""""""""""""""""""""######$$$$$$$$$$$$######""""""""""""""""""""""""""""""""""""""""""""""""############"""""""""""" """######"""!!!!!!"""!!!###$$$$$$######$$$%%%###############$$$$$$$$$###$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""""""""############$$$######""""""######$$$%%%######$$$$$$$$$$$$##############################$$$###""""""""""""""""""############"""""""""""""""!!!!!! !!!!!!"""!!!!!!!!!!!!!!!"""########################"""""" """#########"""!!!!!!!!!!!!"""######$$$$$$"""""""""""""""""""""""""""""""""#########$$$$$$"""###%%%%%%###"""###$$$########################""""""""""""""""""""""""###############$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''((((((((()))))))))************)))))))))))))))))))))******++++++,,,+++,,,---...---,,,+++*********++++++,,,---......,,,------...///000000111000000000000111222333444444444444555666777888999777777777777666666666666222222111111111111222222222000////////////...,,,...///////////////......++++++++++++++++++++++++******)))(((((())))))******)))((((((''''''((((((&&&&&&&&&&&&'''''''''(((&&&''''''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&&&&''''''%%%&&&&&&&&&&&&'''''''''&&&''''''(((((())))))***))))))))))))))))))))))))((())))))***+++,,,------***+++,,,+++***)))***,,,((())))))***++++++,,,,,,,,,,,,---............---..............................//////...---+++******++++++,,,,,,++++++***************************))))))(((((((((((('''''''''''''''''''''((((((((($$$%%%%%%&&&&&&'''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((''''''''''''((((((''''''''''''''''''''''''''''''&&&&&&''''''((()))999888666666777777555444444444444444444333333333000111000///....../////////...---,,,,,,,,,------******)))((('''&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$###"""###$$$############$$$%%%&&&'''""""""!!!!!!"""###%%%&&&""""""""""""""""""""""""###"""!!!"""###$$$$$$"""""""""""""""""""""""""""######$$$$$$$$$$$$###############"""!!!!!! """"""""""""""""""""""""############"""""""""""" """######"""!!!!!!"""!!!###$$$$$$######$$$%%%""""""#########$$$$$$$$$"""######$$$%%%%%%$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%####################################$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""##################""""""######$$$%%%######$$$$$$$$$$$$##############################!!!""""""############"""############""""""""""""###"""!!!!!!!!!!!!"""### !!!"""""""""""""""##################$$$$$$ """#########!!!!!! !!!!!!"""######$$$$$$""""""""""""""""""""""""""""""#########$$$$$$$$$"""###%%%%%%###"""###$$$###############################################################$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&'''''''''(((((((((************)))))))))((()))))))))***************)))+++,,,......---,,,+++******+++,,,---...//////---------....../////////000//////000000111222333333333333333444666777888777777777777666666666666222111111000000000111111111///............---+++------............------++++++++++++++++++++++++))))))(((''''''((())))))))))))(((''''''''''''(((%%%%%%&&&&&&&&&'''''''''&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%###$$$$$$%%%&&&&&&''''''%%%%%%&&&&&&&&&'''''''''&&&&&&''''''((())))))***))))))))))))))))))))))))(((((()))***+++,,,------)))+++,,,+++***)))***+++))))))******+++,,,,,,---++++++,,,---------------........................//////......---,,,,,,+++++++++,,,,,,,,,,,,++++++))))))))))))************))))))((((((((('''''''''%%%%%%&&&&&&&&&'''''''''$$$$$$%%%%%%&&&''''''(((''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((''''''''''''(((((('''''''''''''''''''''''''''''''''''''''(((((()))888777555555666666444333666666555444333222222111,,,...000000000//////000///...---,,,+++,,,---...))))))((('''&&&%%%%%%$$$###$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$$$$$$$###"""###$$$############$$$%%%&&&'''!!!!!! !!!###%%%&&&"""""""""""""""""""""""""""!!! !!!"""######!!!""""""""""""""""""""""""######$$$$$$$$$$$$######$$$$$$###"""!!! """"""""""""""""""""""""############"""""""""""" """######!!!!!!!!!"""!!!###$$$$$$######$$$%%%""""""######$$$$$$$$$$$$!!!"""###$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%########################"""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!###$$$%%%&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%""""""""""""""""""""""""""""""""""""#####################"""###$$$$$$%%%######$$$$$$$$$$$$############################## !!!"""$$$$$$$$$###"""############""""""""""""$$$###"""!!!!!!"""###$$$ """#########"""!!!"""""""""###$$$$$$$$$%%% """###$$$###!!! !!!!!!"""###$$$$$$$$$"""""""""""""""""""""""""""############$$$$$$$$$"""###%%%%%%###"""###$$$#########################################################"""###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''+++*********))))))((((((************))))))))))))(((***,,,.........---,,,***++++++,,,...///000000------..................////////////000111222333333222222222333555777888777777777777666666666666111111000000000000000111111///...---......---+++++++++,,,---------,,,,,,************************)))((('''&&&&&&'''))))))))))))((('''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''(((((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''((())))))***))))))))))))))))))))))))'''((()))***+++,,,------)))+++++++++***)))***+++*********+++,,,,,,------***+++,,,,,,---------,,,........................000///...---,,,,,,------+++,,,,,,------,,,,,,+++)))))))))))))))*********)))(((((((((''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%&&&'''(((((('''''''''&&&&&&'''''''''''''''''''''''''''''''''((((((''''''''''''(((((((((((((((((((((((((((((('''''''''''''''((())))))777777777777777777777777555444444333333222222111000000000///......------......---,,,,,,+++******,,,+++***(((''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$""""""###%%%########################$$$""""""$$$''')))'''%%%######################################################$$$$$$$$$$$$######!!!!!!""""""#########$$$######$$$$$$$$$$$$###### !!!"""##############################$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!"""$$$###"""""""""""""""####################################$$$$$$##################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%###(((((("""!!!%%%&&&###$$$$$$######$$$$$$%%%&&&'''&&&$$$#########$$$$$$"""############$$$$$$$$$!!!""""""""""""#################################$$$$$$##########################################$$$#########""""""!!!!!!"""############$$$$$$$$$!!!!!!!!!!!!!!!!!!!!!!!!""""""############""""""""""""!!!!!!!!! ######""""""""""""######!!!!!!""""""""""""!!!!!!###$$$%%%###!!! !!!""""""""""""""""""""""""""" !!!######""""""###%%%$$$#########""""""!!!!!!""""""""""""####################################"""############$$$$$$$$$###$$$%%%%%%######$$$%%%%%%$$$$$$######$$$$$$%%%######$$$%%%%%%&&&''''''''''''''''''''''''&&&&&&(((((((((((()))))))))))))))))))))))))))******+++)))***+++,,,---,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,..................------000000/////////111333444111111000000111111222333555555666666666666555555333333222111000///...---//////...---,,,++++++***,,,,,,------------------************))))))))))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%$$$$$$%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&'''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&''''''''''''((((((((())))))))))))((((((&&&(((*********)))***+++))))))))))))))))))))))))++++++++++++,,,---...///++++++++++++++++++++++++***+++,,,,,,------,,,,,,111111000......---------***,,,---......---+++)))((()))***++++++***)))((())))))))))))))))))))))))((()))))))))(((&&&$$$"""''''''((((((((((((''''''&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((777777777777777777777777555444444333333222222111000000//////...------,,,......---,,,,,,+++******,,,+++***(((''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&$$$###"""###%%%########################$$$###"""$$$'''(((&&&$$$######################################################$$$$$$$$$$$$######!!!"""""""""############"""######$$$$$$######""" !!!!!!""""""#################################$$$$$$$$$$$$$$$$$$$$$$$$###!!!"""######"""""""""""""""############################################################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$((('''"""!!!$$$%%%"""$$$$$$######$$$$$$%%%&&&&&&%%%$$$#########$$$$$$"""############$$$$$$$$$"""""""""#########$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$####################################"""""""""!!!!!!!!!"""""""""#########""""""""""""""""""""""""""""""############""""""""""""!!! """"""!!!!!!!!!!!!""""""!!!!!!""""""""""""!!!!!!!!!"""######"""!!!"""$$$"""""""""""""""""""""""""""###$$$$$$""""""###$$$############"""""""""!!!""""""""""""####################################"""############$$$$$$$$$###$$$%%%%%%######$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&'''''''''''''''''''''''''''((((((((()))))))))))))))))))))))))))******+++)))***+++,,,---,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,..................------//////......///000222333111111111111111222222333555555666666666666555555333222222111000///...---......------,,,,,,++++++,,,,,,,,,,,,,,,+++++++++*********)))))))))((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((&&&%%%$$$$$$%%%&&&(((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&''''''''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&''''''''''''((((((((())))))))))))((((((&&&(((*********)))***+++************************************+++,,,---...++++++++++++++++++++++++++++++,,,------------,,,111000///...------------***+++,,,,,,,,,+++***))))))))))))******)))))))))((((((((((((((((((((((((''''''''''''''''''&&&%%%''''''((((((((((((''''''&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((777777777777777777777777555444444333333222222111//////......---,,,,,,,,,...------,,,,,,++++++***,,,+++***(((''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###%%%&&&&&&$$$######$$$########################%%%$$$###%%%&&&&&&%%%#########################################################$$$$$$$$$$$$######""""""""""""############"""######$$$$$$######"""################################################$$$$$$$$$$$$$$$$$$$$$$$$"""!!! """######"""""""""""""""############################################################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&"""!!!$$$$$$"""$$$############$$$%%%%%%&&&%%%$$$#########$$$$$$"""############$$$$$$$$$############$$$$$$$$$%%%########################%%%%%%%%%%%%%%%%%%%%%%%%####################################"""""""""""" !!!!!!!!!""""""""""""########################""""""############""""""###"""!!!  !!!"""!!!!!!!!! !!!!!!!!!!!!!!!""""""""""""!!!!!!!!!"""###""""""$$$%%%""""""""""""""""""""""""###$$$%%%$$$###"""###$$$############""""""""""""""""""""""""####################################"""############$$$$$$$$$###$$$%%%%%%######$$$%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''''''''((((((((())))))))))))))))))))))))******+++***+++,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------............---......///000111222111111111111222333333555555666666666666555555222222111000///......---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******))))))******))))))))))))((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&'''''''''(((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''''''''((('''(((((())))))(((((('''&&&(((*********)))***+++************************))))))))))))***+++,,,---++++++++++++++++++++++++++++++,,,---------------000///......------------+++++++++*********))))))***))))))(((((())))))***((((((((((((((((((((((((&&&&&&&&&&&&&&&'''((()))''''''((((((((((((''''''&&&&&&'''''''''(((((((((&&&&&&'''''''''(((((((((''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((666666666666666666666666555444444333333222222111.........---,,,,,,++++++---------,,,,,,+++++++++,,,+++***(((''''''''''''$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&&&&%%%#################################$$$$$$$$$%%%%%%%%%$$$#########################################################$$$$$$$$$$$$######"""""""""""""""#########""""""############""""""##################""""""####################################$$$$$$$$$$$$!!!!!! !!!""""""""""""!!!"""""""""###################################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$$$$$$$$$$"""###############$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$######$$$$$$$$$%%%%%%%%%########################$$$$$$$$$%%%%%%%%%%%%%%%#################################"""""""""""""""!!!!!!!!!"""""""""##############################""""""############""""""###"""!!! """###""""""!!!!!!!!!!!!""""""!!!!!!""""""""""""!!!!!! """######""""""###$$$""""""""""""""""""""""""!!!"""$$$###""""""###$$$#########"""""""""""""""!!!"""""""""####################################""""""#########$$$$$$$$$###$$$%%%%%%######$$$%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&''''''''''''''''''''''''((((((((()))))))))))))))))))))******+++++++++,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------......,,,,,,------...//////000111111111111111222333333555555666666666666555555111111000//////...------***+++++++++,,,,,,,,,---------,,,+++***))))))(((***)))))))))((((((((((((''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((('''(((((((((((((((((('''&&&(((*********)))***+++************************)))))))))))))))***++++++***+++++++++++++++,,,,,,+++,,,,,,---...---------///......---,,,,,,---------,,,+++***))))))*********)))(((''''''((()))***((((((((((((((((((((((((''''''&&&%%%%%%'''((()))''''''((((((((((((''''''''''''''''''((((((((((((''''''''''''((((((((((((''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((666666666666666666666666555444444333333222222111.........---,,,,,,++++++------,,,,,,,,,,,,++++++,,,+++***(((''''''''''''$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!$$$&&&&&&%%%$$$###$$$###########################$$$%%%%%%$$$###############################################################$$$$$$$$$$$$############"""""""""""""""""""""""""""######""""""""""""""""""""""""""""""!!!"""""""""""""""""""""""""""""""""######$$$$$$$$$ !!!""""""""""""""""""!!!"""""""""####################################""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''%%%$$$&&&((('''$$$"""######""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$######$$$$$$$$$%%%%%%%%%########################"""#########$$$$$$$$$%%%########################""""""""""""""""""######"""""""""#########$$$$$$########################""""""############""""""###"""!!! !!!"""###$$$######""""""######$$$!!!!!!""""""""""""!!!!!!"""$$$$$$###!!!!!!!!!""""""""""""""""""""""""""" """"""""""""###%%%""""""""""""""""""######!!!"""""""""####################################""""""#########$$$$$$$$$###$$$%%%%%%######$$$%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&'''''''''((((((''''''''''''(((((((((((()))))))))))))))******+++++++++++++++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------......+++,,,------.../////////111111000000111111222333444444555555555555444444000000//////...---------))))))******+++,,,,,,,,,...------,,,+++******))))))))))))(((((((((((('''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''((((((((((((''''''&&&(((*********)))***+++************************))))))(((((())))))***************++++++,,,,,,,,,,,,,,,---.........------...------,,,,,,,,,,,,---///...,,,+++*********+++***)))(((''''''((()))***'''''''''''''''''''''''')))((('''%%%%%%&&&''''''''''''(((((((((((('''''''''''''''((((((((())))))'''''''''((((((((())))))((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((777777777777777777777777555444444333333222222111//////......---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***(((''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%%%%$$$$$$$$$%%%########################"""###%%%%%%$$$######$$$######################################################$$$$$$$$$$$$##################""""""""""""!!!""""""######""""""!!!""""""""""""""""""""""""""""""""""""""""""""""""!!!!!!""""""###$$$$$$$$$!!!######"""!!!"""###""""""""""""####################################"""""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&###$$$***---***%%%######""""""""""""###$$$$$$######$$$%%%%%%%%%$$$$$$"""############$$$$$$$$$############$$$$$$$$$%%%########################"""""""""######$$$$$$%%%########################""""""""""""########################$$$$$$$$$$$$########################""""""############""""""!!!!!!""""""""""""######%%%$$$$$$######$$$$$$%%%!!!!!!""""""""""""!!!!!!###$$$%%%###!!! !!!!!!""""""""""""""""""""""""!!!"""###""""""$$$%%%""""""""""""############""""""""""""####################################"""############$$$$$$$$$###$$$%%%%%%######$$$%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''(((((((((&&&&&&'''''''''((((((((()))))))))))))))******+++++++++*********+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,------......+++,,,---...////////////000////////////000111111222333333333333333333222//////......------------)))))))))******+++++++++------,,,,,,++++++******))))))((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&''''''''''''(((&&&''''''((((((''''''&&&&&&(((*********)))***+++++++++++++++++++++++++++***)))))))))))))))***************++++++,,,,,,---,,,,,,---...............---,,,,,,++++++,,,,,,,,,///......---,,,+++******)))((((((''''''(((((()))'''''''''''''''''''''''')))((('''&&&&&&&&&&&&&&&''''''((((((((((((''''''''''''((((((((()))))))))''''''((((((((()))))))))((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((777777777777777777777777555444444333333222222111000000//////...------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***(((''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$######%%%'''######################## """%%%%%%######$$$&&&######################################################$$$$$$$$$$$$##################"""""""""!!!!!!!!!""""""""""""!!!!!!!!!""""""######$$$$$$$$$""""""""""""""""""""""""!!!!!!!!!"""###$$$$$$$$$!!!###$$$"""!!!!!!###""""""""""""####################################!!!""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%########################$$$!!!%%%...333...'''$$$"""""""""""""""###$$$$$$"""###$$$%%%%%%%%%%%%$$$"""############$$$$$$$$$"""""""""#########$$$$$$########################""""""###$$$$$$%%%&&&&&&########################!!!"""""""""############""""""""""""############""""""""""""""""""""""""""""""############""""""!!!"""$$$$$$$$$"""!!!$$$$$$############$$$$$$!!!!!!""""""""""""!!!!!!"""###$$$###"""!!!"""###""""""""""""""""""""""""$$$%%%&&&%%%###"""###$$$!!!"""""""""############""""""""""""####################################"""############$$$$$$$$$###$$$%%%%%%######$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%&&&&&&'''(((((()))&&&&&&&&&'''''''''(((((()))))))))))))))******+++******)))))))))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,------......+++,,,...///000000//////...............///000000111111222222222222111111.........------------,,,)))))))))***************+++++++++++++++*********))))))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&'''%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&''''''''''''(((&&&''''''((((((''''''&&&&&&(((*********)))***++++++++++++++++++++++++++++++******))))))*********)))******+++,,,,,,------,,,------...............,,,,,,++++++++++++,,,,,,------------,,,***(((''''''(((((((((((((((((('''''''''''''''''''''''''''%%%&&&''''''''''''''''''''''''(((((((((((('''''''''((((((((())))))))))))'''((((((((())))))))))))((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((777777777777777777777777555555444333333222222111000000000///......------,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***(((''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$###"""###&&&(((########################"""$$$%%%######$$$'''######################################################$$$$$$$$$$$$######$$$#########""""""!!!!!!!!!!!!""""""""""""!!!!!!""""""###$$$%%%%%%&&&&&&"""""""""""""""""""""""" !!!!!!"""###$$$$$$$$$!!!$$$$$$""" !!!###""""""""""""####################################!!!""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%########################### %%%000666000(((%%%"""""""""""""""######$$$"""###$$$%%%&&&%%%%%%$$$"""############$$$$$$$$$!!!""""""""""""#######################################$$$%%%%%%&&&''''''########################!!!!!!""""""#########$$$!!!!!!!!!!!!""""""""""""!!!!!!!!!!!!!!!!!!!!!!!!""""""############"""""" ###%%%%%%$$$"""!!!######""""""""""""######!!!!!!""""""""""""!!!!!! !!!######""""""$$$%%%"""""""""""""""""""""""")))******((($$$""""""###!!!!!!""""""#########$$$""""""""""""####################################"""############$$$$$$$$$###$$$%%%%%%######$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%######$$$%%%%%%&&&''''''%%%%%%&&&&&&'''((())))))&&&&&&&&&'''''''''(((((()))))))))))))))******+++***)))((((((((()))+++,,,,,,,,,,,,,,,,,,,,,,,,,,,******+++,,,,,,---......,,,---...000000000000///---------------...//////000000111111111111000000------------------,,,,,,*********))))))))))))))))))))))))))))))*********)))(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&'''''''''((((((%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&'''''''''((((((&&&''''''''''''''''''&&&&&&(((*********)))***,,,++++++++++++++++++++++++++++++***************+++))))))***+++,,,,,,------,,,---......//////......+++++++++***++++++,,,,,,+++,,,------,,,)))'''%%%&&&'''((())))))((('''&&&''''''''''''''''''''''''"""$$$&&&((()))))))))(((''''''((((((((((((''''''(((((((((((())))))))))))(((((((((((())))))))))))))))))))))))))))))))))))''''''''''''((((((((()))((((((((((((((((((((((((888888777666666666666666555555555444333222111000000000///............///---,,,,,,++++++*********+++***)))'''&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$""""""&&&&&&%%%######%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$###"""""""""$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""$$$$$$$$$#########""""""$$$#########""""""!!!!!!""""""!!!!!!!!!!!!"""""""""""""""""""""""""""""""""###$$$###"""!!!"""###"""""""""!!!""""""###$$$ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!$$$$$$$$$############"""$$$$$$%%%%%%%%%$$$$$$###%%%%%%$$$######$$$%%%%%%%%%$$$###$$$%%%&&&%%%###***### '''444888111((($$$%%%%%%$$$"""!!!"""$$$###"""""""""###$$$%%%%%%########################################################################"""############$$$$$$$$$###$$$%%%%%%%%%###"""!!!""""""""""""""""""""""""######""""""""""""######""""""""""""""""""""""""######""""""""""""######!!!!!!!!!!!!!!!!!!!!!!!!$$$#########""""""!!!!!!%%%"""!!!######!!!########################$$$$$$$$$#########""""""########################""""""###$$$$$$$$$$$$###""""""""""""""""""""""""########################"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''')))))))))))))))******+++,,,***((()))+++,,,+++((()))+++,,,------,,,***)))++++++,,,,,,,,,,,,------............////////////000000///...---,,,,,,+++............//////000000,,,,,,,,,+++++++++******+++++++++*********))))))))))))))))))))))))))))))))))))))))))))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&'''&&&&&&%%%%%%$$$$$$###$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''(((((((((((((((((()))***************))))))*********+++++++++)))***+++,,,,,,+++***))))))************+++++++++++++++++++++++++++++++++------------------------************++++++++++++++++++******)))*********''''''&&&&&&''')))***,,,)))(((((('''''''''''''''((((((((((((((((((((((((''''''''''''((((((((()))((((((((()))))))))************))))))((()))))))))***+++++++++***)))(((''')))))))))(((((())))))))),,,+++***)))((('''&&&&&&888888777666666666666666555555555444333222111000000///......------......,,,,,,,,,++++++++++++++++++***)))'''&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$!!!###$$$%%%%%%$$$###!!!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""$$$$$$$$$#########""""""############"""""""""!!!""""""!!!!!!!!!!!!"""""""""""""""""""""""""""""""""###$$$###"""!!!"""###!!!!!!""""""#########$$$ !!!""""""""""""!!!""""""""""""""""""""""""""""""######$$$$$$$$$%%%$$$$$$$$$%%%%%%$$$$$$###%%%%%%$$$######$$$%%%%%%%%%$$$######$$$%%%$$$"""%%%""""""%%%***,,,)))%%%$$$%%%%%%###"""!!!"""$$$#########"""######$$$$$$########################################################################"""############$$$$$$$$$$$$$$$$$$$$$$$$###""""""""""""""""""""""""""""""######""""""""""""######""""""""""""""""""""""""###""""""!!!!!!""""""###""""""""""""""""""""""""############"""""""""!!!$$$""""""###"""!!!########################$$$$$$$$$#########""""""########################""""""###$$$$$$$$$$$$###################################################"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''))))))(((((())))))***+++,,,***((()))+++,,,***((()))***,,,------+++***)))+++++++++,,,,,,,,,------------........./////////000000000///...---,,,+++---------.........//////,,,,,,+++++++++*********+++++++++******)))))))))))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''(((((((((((((((((()))************)))++++++++++++,,,,,,,,,---)))***++++++++++++***)))))))))*********+++++++++++++++++++++++++++++++++------,,,,,,,,,,,,,,,,,,+++++++++******++++++,,,*********)))******++++++++++++******+++,,,...///++++++***)))((((((((()))(((((((((((((((((((((((('''''''''((((((((())))))'''''''''(((((((((((((((,,,++++++***************)))))))))))))))(((''''''((((((''''''''''''(((((()))))))))))))))(((((((((888888777666666666666666555555555444333222111000///......---------------++++++++++++,,,,,,,,,,,,+++***)))'''&&&&&&&&&&&&%%%$$$$$$######$$$&&&'''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""$$$$$$$$$###########################""""""""""""###""""""!!!!!!""""""###""""""""""""""""""""""""!!!"""######"""!!!"""$$$ """###$$$$$$$$$###!!!!!!"""####################################### !!!"""###$$$%%%&&&&&&###$$$$$$%%%%%%$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%$$$######$$$$$$"""!!!"""$$$%%%$$$"""!!!"""$$$$$$$$$%%%###"""!!!###$$$$$$$$$######"""#################################################################################"""############$$$$$$$$$%%%$$$##################""""""""""""""""""""""""######""""""""""""######"""""""""""""""""""""""""""!!!!!! !!!!!!"""####################################""""""""""""$$$""" """###""""""########################$$$$$$$$$#######################################""""""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((()))******+++)))((()))***+++***((()))***+++,,,,,,+++***)))++++++++++++,,,,,,,,,,,,------------...............///111111111///---,,,,,,,,,,,,,,,------------++++++++++++*********)))************))))))))))))))))))))))))))))))))))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$%%%&&&&&&'''$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&''''''''''''((((((((('''((())))))******))))))*********+++++++++,,,,,,)))******++++++******))))))))))))*********+++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,---,,,+++******+++,,,,,,))))))))))))******+++,,,///.........///000111222...---,,,+++***)))))))))((((((((((((((((((((((((''''''((((((((())))))))))))))))))(((((((((((((((*********)))))))))((((((***************)))))))))******))))))))))))******(((((()))***************888777777666666666666666555555555444333222111000......---,,,,,,,,,,,,---***++++++,,,,,,---------+++***)))'''&&&&&&&&&&&&%%%$$$###"""###%%%'''))))))&&&###$$$$$$###&&&)))$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%"""""""""###$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""#################################"""""""""""""""###""""""""""""""""""###""""""""""""""""""""""""!!!"""######""""""###$$$"""$$$%%%%%%$$$###""""""###$$$$$$$$$$$$###########################!!!""""""###$$$$$$%%%%%%######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$############""" $$$&&&'''%%%"""!!!###&&&###$$$$$$###""""""###%%%%%%%%%$$$###"""""""""###########################################################################""""""#########$$$$$$$$$%%%$$$###""""""###$$$%%%""""""""""""""""""""""""######""""""""""""######""""""""""""""""""""""""!!!!!! !!!!!!#################################"""""""""""""""###""""""""""""###""""""########################################################################""""""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################""""""#########$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((''''''''''''((())))))))))))((())))))))))))(((((()))***++++++******)))***++++++++++++,,,,,,,,,,,,,,,,,,,,,---------------///111222222000...,,,+++++++++++++++,,,,,,,,,+++************)))))))))))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%%%%%%%#########"""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''(((((('''(((((()))))))))))))))'''(((((((((((()))))))))))))))************))))))))))))))))))******************************************++++++++++++,,,,,,---,,,***)))))))))+++,,,(((((((((((()))+++,,,,,,////////////000000111111...---,,,+++***)))))))))(((((((((((((((((((((((('''(((((((((((()))))))))+++++++++*********************************))))))++++++++++++++++++,,,,,,,,,,,,++++++++++++,,,,,,)))***+++,,,,,,,,,++++++888777777666666666666666555555555444333222111000......---,,,,,,,,,,,,---+++++++++,,,,,,------...+++***)))'''&&&&&&&&&&&&%%%$$$######$$$&&&(((***%%%"""###''''''###"""%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%"""""""""###$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$################################################""""""""""""""""""############""""""""""""######"""""""""""""""""""""""" """######""""""###$$$ """$$$%%%$$$###""""""######$$$$$$$$$$$$$$$################################################"""###$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$######$$$$$$###!!!&&&&&&%%%%%%%%%%%%&&&'''###$$$$$$###""""""###%%%%%%%%%$$$###"""""""""###########################################################################""""""#########$$$$$$$$$$$$$$$"""""""""###$$$%%%""""""""""""""""""""""""######""""""""""""######""""""""""""""""""""""""!!!!!! !!!!!!########################""""""""""""""""""######"""############""""""###########################################################################""""""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################""""""#########$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&''''''((()))(((((()))(((((((((((()))(((((())))))*********************+++++++++,,,,,,++++++++++++,,,,,,,,,,,,,,,...000222222111///---++++++++++++++++++***************)))))))))((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###############""""""###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''((()))))))))))))))'''(((((((((((()))))))))))))))))))))))))))))))))(((((()))))))))******************************************++++++,,,,,,,,,,,,+++***)))((())))))***(((((((((((()))***+++,,,,,,,,,,,,---------------,,,,,,+++))))))((((((((())))))))))))))))))))))))(((((((((((()))))))))*********************************+++,,,------,,,,,,***))))))))))))***,,,,,,,,,++++++++++++++++++,,,,,,---...//////---,,,+++888888777666666666666666555555555444333222111000///......---------------,,,,,,,,,,,,------------+++***)))'''&&&&&&&&&&&&%%%$$$$$$$$$%%%&&&((()))###"""***444444***"""###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#######################################$$$$$$$$$""""""""""""############$$$######""""""######$$$"""""""""""""""""""""""" !!!######""""""###%%% !!!"""$$$$$$###""""""""""""###$$$$$$$$$$$$###########################$$$$$$$$$#########"""""""""###$$$$$$%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%$$$###$$$%%%&&&%%%###%%%###"""###&&&'''%%%###"""###$$$###""""""$$$&&&$$$$$$######"""#################################################################################"""############$$$$$$$$$##################$$$%%%""""""""""""""""""""""""######""""""""""""######"""""""""""""""""""""""""""!!!!!! !!!!!!"""########################""""""""""""############!!!###$$$$$$###""""""##########################################$$$$$$$$$########################""""""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&'''(((((('''((()))((('''&&&''')))'''''''''((())))))******************++++++++++++************++++++++++++,,,---///111111111///...++++++++++++************))))))))))))((((((((((((''''''''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$######""""""""""""""""""###$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&'''''''''&&&'''(((((())))))((((((*********+++++++++,,,,,,***))))))(((((())))))***((((((((()))))))))************************************++++++,,,,,,------,,,+++++++++***))))))((((((((((((((())))))***+++((()))************))))))******)))(((((((((((()))))))))))))))))))))))))))((((((((()))))))))******(((((()))))))))*********'''(((***,,,---...------,,,,,,++++++,,,---///000//////............//////444555666777777555333222888888777666666666666666555555555444333222111000000///......------......---------------,,,,,,,,,+++***)))'''&&&&&&&&&&&&$$$%%%%%%%%%&&&&&&''''''&&&$$$***555555***$$$&&&##############################$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$########################""""""#########$$$$$$$$$!!!"""""""""############$$$######""""""######$$$""""""""""""""""""""""""!!!######""""""$$$%%%############""""""""""""!!!""""""###$$$#########""""""""""""""""""""""""###############$$$$$$$$$""""""###$$$%%%%%%%%%%%%###$$$%%%%%%%%%%%%$$$###%%%$$$###$$$&&&''''''&&&"""""""""###$$$$$$""" """###$$$###""""""$$$&&&#########"""######$$$$$$########################################################################"""############$$$$$$$$$""""""###$$$$$$$$$$$$$$$""""""""""""""""""""""""######""""""""""""######""""""""""""""""""""""""###""""""!!!!!!""""""###""""""""""""""""""""""""!!!"""""""""############ ###%%%%%%###""""""$$$########################""""""#########$$$$$$$$$########################""""""###$$$$$$$$$$$$###################################################"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&'''(((%%%''')))(((&&&%%%''')))''''''''''''((()))******************++++++++++++)))))))))*********+++++++++,,,---...///000000000,,,,,,,,,++++++*********))))))((((((((('''''''''&&&&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$###############""""""""""""###$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''&&&'''(((((())))))((((((++++++++++++,,,,,,,,,---***)))(((''''''((()))***(((((((((((()))))))))***************************+++++++++,,,------......,,,---......---,,,***((())))))((((((((())))))***'''((()))))))))((('''''')))(((((((((((()))******))))))))))))))))))))))))(((((()))))))))*********)))******+++,,,---......---...111444777777777777:::999888888:::<<<>>>@@@>>>==================>>>AAACCCEEEGGGGGGFFFDDDCCC888888777666666666666666555555555444333222111000000000///............///.........------,,,,,,,,,+++***)))(((&&&&&&&&&&&&$$$%%%&&&'''''''''&&&&&&(((!!!!!!((((((!!!!!!(((#################################$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$######""""""$$$$$$$$$$$$$$$$$$$$$$$$########################""""""######$$$$$$$$$$$$!!!!!!""""""#########$$$$$$$$$############$$$$$$""""""""""""""""""""""""!!!"""###""""""$$$&&&%%%$$$###"""!!!!!!!!!"""!!!!!!"""############"""!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!"""###$$$%%%%%%&&&!!!"""###$$$%%%&&&&&&&&&###$$$%%%&&&&&&%%%$$$###$$$$$$###%%%''')))((((((!!!$$$&&&&&&$$$!!! """###$$$###""""""$$$&&&###"""""""""###$$$%%%%%%########################################################################"""############$$$$$$$$$!!!"""###%%%%%%%%%$$$###""""""""""""""""""""""""######""""""""""""######""""""""""""""""""""""""######""""""""""""######!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!""""""#########$$$ ###&&&&&&###""""""$$$########################""""""######$$$$$$$$$$$$########################""""""###$$$$$$$$$$$$###""""""""""""""""""""""""########################"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''%%%''')))(((&&&%%%&&&)))&&&&&&&&&'''''')))******)))************+++++++++))))))))))))************+++,,,,,,---...///000000,,,,,,,,,,,,++++++******)))(((((((((''''''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$"""""""""###$$$$$$%%%%%%""""""""""""###$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&''''''((((((((((((((()))************+++++++++***)))(((''''''((()))***(((((((((((())))))))))))))))))))))))))))))))))))++++++,,,------...//////---...000111000...+++)))***))))))(((((((((((()))'''((()))******)))''''''(((((((((((()))***+++,,,))))))))))))))))))))))))))))))))))))************,,,---...///000222333333;;;===AAADDDGGGHHHIIIHHHJJJIIIHHHHHHIIILLLNNNPPPNNNNNNMMMMMMMMMMMMNNNNNNMMMOOORRRUUUVVVUUUTTTSSS===999555333333555777777777666555444222111000///------..................,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,+++***)))(((((($$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$#########$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###"""""""""###$$$%%%%%%&&&&&&&&&%%%$$$###"""!!!$$$$$$$$$######!!! """"""""""""""""""""""""$$$$$$$$$#######################################$$$#########""""""!!!!!!!!!"""###"""!!!!!!###%%%%%%$$$"""!!!!!!!!!"""""""""###$$$%%%%%%$$$###"""######################################################$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%$$$###$$$&&&'''&&&%%%%%%$$$###""""""###$$$%%%$$$%%%%%%$$$######$$$&&&""""""""""""""""""""""""$$$$$$$$$#########""""""""""""""""""""""""""""""###$$$$$$###!!! !!!###""""""""""""""""""""""""""""""############""""""#########"""""""""""""""""""""""""""""""""""""""########################""""""############""""""!!!!!!!!!!!!!!!!!!!!!!!!""""""############""""""""""""""""""""""""""""""$$$%%%%%%%%%%%%$$$######$$$$$$$$$#########""""""########################%%%%%%%%%$$$$$$$$$######$$$$$$$$$#########""""""##############################$$$$$$$$$%%%%%%%%%#########"""""""""""""""######################################################$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&''''''''''''(((((((((((('''''''''''')))+++---///)))))))))))))))))))))))))))************+++++++++++++++,,,,,,---...//////------,,,,,,+++***))))))))))))(((''''''''''''''')))((('''&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$%%%%%%&&&%%%$$$###"""""""""###$$$%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&'''''''''(((((())))))+++***)))))))))***,,,---+++*********))))))(((((())))))))))))************,,,+++***))))))***+++,,,------,,,,,,---000222444000//////...,,,+++******(((((())))))))))))(((((((((((('''&&&&&&&&&&&&''')))***++++++++++++******)))))))))***+++,,,---......,,,)))((((((***---///222111111111444888<<<>>>HHHJJJNNNRRRTTTUUUUUUUUU[[[WWWQQQLLLKKKMMMRRRUUUSSSSSSSSSUUUVVVVVVUUUSSSTTTVVVYYY[[[\\\[[[ZZZYYY===:::666555555777777777777666555444222111000///........................,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++***)))((('''&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""######$$$$$$$$$$$$$$$$$$###"""!!!!!!$$$$$$$$$######"""!!! ########################################################################"""""""""""""""#########!!!"""###"""!!!!!!###%%%'''&&&$$$###"""###$$$%%%"""###$$$$$$$$$$$$###"""########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%$$$###$$$&&&&&&&&&$$$$$$$$$###""""""###$$$$$$###$$$$$$###""""""###%%%########################$$$$$$$$$#########""""""""""""""""""""""""""""""###$$$$$$###!!! """###""""""""""""""""""""""""""""""############""""""###"""""""""""""""""""""""""""""""""""""""""""""########################""""""############""""""""""""""""""""""""""""""""""""############""""""""""""""""""""""""""""""$$$$$$%%%%%%$$$$$$###"""$$$$$$$$$#########""""""########################%%%%%%$$$$$$$$$#########$$$$$$$$$#########""""""#################################$$$$$$$$$%%%%%%##############################################################################$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''$$$%%%&&&&&&''''''&&&&&&''''''''''''(((((((((((())))))((((((((()))+++,,,))))))))))))))))))))))))(((((()))))))))*********+++++++++,,,---.........---,,,,,,+++******))))))))))))((('''''''''''''''(((((('''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$%%%%%%%%%%%%$$$###"""#########$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&''''''''''''''''''((((((((()))***))))))((()))***+++,,,************)))))))))((())))))))))))************++++++***))))))***++++++---,,,,,,+++,,,...111222///......---,,,+++***)))(((((())))))))))))(((((((((((('''''''''((())))))''''''(((((()))***++++++...,,,***))))))+++---///......///000222444777888888999:::<<<@@@EEEIIILLLVVVXXX\\\___aaaaaa___^^^UUUSSSPPPNNNOOORRRVVVYYYYYYYYYZZZ[[[[[[ZZZXXXVVVYYYZZZ\\\]]]\\\ZZZXXXVVV<<<:::777666777888777777666666555444222111000000........................,,,,,,,,,,,,,,,,,,,,,,,,+++***)))((('''&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$######"""#########""""""#########""""""!!!######$$$######"""!!! $$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""##########################################""""""""""""!!!"""###"""!!!!!!###%%%(((&&&$$$"""!!!###%%%&&&"""###$$$$$$$$$$$$###"""########################$$$$$$$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%$$$$$$%%%&&&$$$###$$$$$$###""""""###$$$$$$"""######"""!!!!!!"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############"""""""""""""""""""""""""""""""""######$$$###!!! """###""""""""""""""""""""""""""""""############""""""""""""""""""""""""######""""""""""""""""""""""""########################""""""############""""""########################""""""############""""""""""""""""""""""""""""""$$$$$$%%%%%%$$$$$$###"""$$$$$$$$$#######################################%%%$$$$$$$$$$$$#########$$$############"""""""""""""""""""""""""""""""""#########$$$$$$$$$$$$%%%""""""######$$$$$$%%%%%%######################################################$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&''''''''''''((((((((((((,,,+++***)))((((((((()))))))))))))))))))))))))))'''((((((((())))))))))))******++++++,,,---------,,,,,,++++++***))))))))))))(((''''''&&&'''''''''((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&''''''''''''''''''((((((((((((((((((((((((((()))******************))))))))))))))))))))))))************++++++***))))))***++++++---,,,+++++++++,,,...///------,,,+++***))))))((('''(((((())))))(((((('''(((((((((((()))***++++++))))))((((((((()))+++,,,///...++++++,,,000444777777999:::===>>>???@@@@@@???@@@DDDHHHMMMSSSWWWYYYcccdddeeedddaaa\\\VVVSSSJJJJJJJJJLLLPPPUUU[[[^^^aaabbbccccccbbb```]]]\\\^^^______^^^]]]ZZZWWWUUU:::999777666777777666555666555555444222111111000...............---------,,,,,,,,,,,,,,,,,,,,,,,,+++******)))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$###"""""""""###!!!!!!"""###$$$$$$#####################"""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$!!!"""""""""""""""##############################%%%%%%$$$###"""!!! !!!"""###"""!!!!!!###%%%&&&$$$!!!!!!###%%%#########$$$$$$#################################$$$%%%%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%'''%%%$$$$$$%%%%%%###"""$$$##################$$$"""###$$$###!!!!!!###$$$$$$$$$$$$$$$$$$$$$$$$$$$############"""""""""""""""""""""""""""""""""""""""######"""!!!!!!"""$$$""""""""""""""""""""""""""""""############"""""""""""""""""""""#########""""""""""""""""""""""""########################""""""############""""""########################""""""############""""""""""""""""""""""""""""""$$$$$$$$$$$$$$$###""""""################################################$$$$$$$$$$$$########################""""""""""""!!!!!!!!!!!!!!!!!!!!!!!!############$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&######################################################$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&''''''''''''((((((((((((++++++***))))))(((((((((((((((((((((((((((((((((((((((((()))))))))***************+++++++++,,,,,,++++++******))))))))))))(((''''''&&&&&&'''''''''''''''&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%$$$$$$$$$##############################################################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&'''''''''''''''(((((((((((((((''''''''''''(((((())))))*********)))))))))))))))((()))))))))************+++******************+++,,,+++************++++++,,,++++++***))))))(((((('''(((((())))))(((((('''))))))(((((())))))***+++...---+++******+++---///000111333666:::@@@DDDGGGHHHHHHGGGFFFEEEEEEDDDDDDCCCEEEHHHLLLPPPSSSVVVXXXZZZ[[[\\\[[[WWWQQQJJJFFF@@@@@@@@@CCCHHHOOOVVVZZZ```aaacccdddbbb```___^^^``````aaaaaa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```fff___aaabbb^^^XXXTTTTTTUUUUUUOOOLLLNNNOOOLLLGGGFFFFFFGGGIIILLLQQQXXX___ddd```ZZZSSSOOONNNOOORRRUUU;;;999555444444555555444666666666666555444333222000//////......---------------,,,,,,,,,+++++++++******)))(((''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%################################################$$$$$$$$$$$$$$$#########""""""""""""""""""""""""###$$$$$$$$$$$$###""""""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%###############$$$$$$$$$%%%$$$###""""""###$$$%%%##############################$$$$$$$$$$$$##############################"""###$$$$$$$$$$$$$$$$$$"""""""""""""""######$$$######"""""""""!!!!!!!!!###"""######!!! (((111)))&&&###!!!""""""""""""$$$$$$$$$#########################################################""""""""""""""""""""""""""""""""""""""""""########################""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""#########""""""#################################################################################""""""""""""""""""""""""""""""""""""""""""""""""$$$$$$$$$###############################################################"""######$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((('''''''''((((((((((((((()))))))))(((((((((((('''((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$###$$$$$$$$$###############%%%%%%%%%$$$$$$$$$$$$###"""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&''''''&&&$$$&&&''''''(((((((((((((((''''''((()))))))))))))))((((((((()))******++++++))))))((((((((()))******+++***)))***,,,,,,+++***************************(((''''''(((***,,,+++******+++,,,,,,,,,...111444===???EEEKKKRRRWWW\\\^^^^^^[[[VVVPPPHHH@@@:::777444444444444444444444444444444444444555888===AAAHHHLLLOOOPPPPPPTTT\\\bbb```cccccc^^^WWWRRRRRRUUUMMMIIIHHHIIIHHHDDDDDDFFFIIILLLPPPSSSVVVZZZ```ddd]]][[[WWWSSSQQQTTTXXX[[[===:::666444444555444444555555555555444333222111000/////////......------,,,---------,,,,,,+++++++++***)))(((''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%################################################$$$$$$$$$###############""""""""""""""""""""""""######$$$$$$$$$######"""###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""""""""###$$$$$$$$$%%%$$$$$$###""""""###$$$$$$""""""#########$$$$$$$$$######$$$$$$$$$$$$##############################""""""###$$$%%%&&&&&&&&&"""""""""""""""######$$$""""""""""""!!!!!!!!!!!!###""""""###!!!!!!'''///)))&&&###!!!!!!""""""!!!################################################$$$$$$######""""""!!!!!!""""""""""""""""""""""""!!!"""""""""############$$$$$$######""""""!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!""""""""""""""""""""""""%%%$$$""""""""""""$$$%%%########################################################################""""""""""""""""""""""""!!!!!!!!!!!!!!!!!!!!!!!!########################################################################"""###$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((((((((((((((((((((%%%&&&&&&''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$%%%%%%$$$$$$########################$$$###$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&'''&&&&&&'''((((((&&&%%%&&&''''''(((((((((((((((''''''((()))))))))))))))(((((())))))************((((((((((((((())))))***+++***))))))+++,,,+++***************************++++++******++++++,,,++++++,,,...000222777<<<@@@JJJLLLPPPUUUXXXZZZ[[[\\\WWWSSSMMMFFF@@@<<<;;;;;;:::;;;<<<<<<;;;::::::;;;AAAAAAAAA@@@@@@BBBFFFIIIKKKKKKJJJIIIHHHKKKOOORRRYYYYYYWWWUUURRRPPPOOOOOOJJJGGGEEEEEEDDDCCCIIIQQQKKKOOOUUU[[[___^^^ZZZWWWVVVVVVSSSOOONNNPPPPPPOOO>>>;;;777555555555444333333333333333333222000000///////////////.........,,,,,,---------,,,+++***+++***)))((((((''''''(((&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################################################################"""""""""""""""""""""""""""######$$$$$$$$$######""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#################################$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""""""""###$$$$$$$$$%%%$$$##################$$$"""""""""###$$$$$$%%%%%%######$$$$$$$$$$$$##############################!!!"""###$$$%%%&&&&&&&&&"""""""""""""""######$$$""""""""""""!!!!!!!!!!!!###!!!!!!###"""!!!&&&---)))&&&###!!!!!!""""""!!!########################""""""""""""""""""""""""$$$######""""""!!!!!!!!!""""""""""""""""""""""""!!!"""""""""############$$$$$$######""""""!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!""""""""""""""""""""""""%%%$$$###""""""###$$$%%%########################################################################""""""""""""""""""""""""!!!!!!!!!!!!!!!!!!!!!!!!##############################################################################$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''%%%%%%&&&&&&''''''(((((('''''''''''''''(((((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$######"""########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$##############################$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&'''((()))'''%%%&&&''''''(((((((((((((((''''''((())))))))))))))))))))))))))))))*********((((((((((((((())))))***+++)))((((((***,,,,,,+++************************,,,,,,,,,+++******+++,,,---000444999>>>DDDJJJNNNRRRTTTXXXZZZ\\\\\\[[[ZZZYYYTTTMMMGGGDDDFFFJJJMMMIIIKKKMMMLLLIIIHHHHHHIIIPPPPPPNNNKKKHHHFFFHHHIIIIIIFFFDDDEEEHHHLLLNNNNNNMMMLLLNNNUUU___gggkkkkkkfffaaa[[[VVVQQQQQQYYYbbbgggiiirrr}}}pppnnnoookkkfffeeefff```XXX>>>;;;777555555555555444333333333222222111000///////////////////////////+++,,,---...---,,,+++***++++++***)))((((((((((((&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$################################################"""""""""###############""""""""""""""""""""""""""""""###$$$$$$$$$$$$###"""""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############$$$$$$$$$#########$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$$$$$$$##################$$$$$$$$$########################""""""######$$$$$$$$$%%%######$$$$$$$$$$$$##############################!!!"""###$$$%%%%%%%%%%%%"""""""""""""""######$$$######"""""""""!!!!!!!!!$$$!!!!!!###""""""%%%+++)))&&&###!!!""""""""""""###############$$$$$$$$$!!!!!!!!!!!!!!!!!!!!!!!!""""""""""""""""""!!!!!!""""""""""""""""""""""""""""""""""""########################""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""$$$$$$############$$$$$$########################################################################""""""""""""""""""""""""""""""""""""""""""""""""###############$$$$$$$$$###################################################$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&'''''''''''''''&&&''''''''''''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$###""""""###############$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&''''''''''''&&&&&&'''))))))(((&&&&&&''''''(((((((((((((((''''''((()))))))))))))))))))))))))))))))))******))))))((((((((()))******+++)))'''''')))+++,,,,,,+++++++++++++++++++++++++++++++++***)))***,,,///333888???EEEKKKPPPTTTWWWUUUWWWZZZ]]]^^^______^^^\\\WWWQQQKKKJJJMMMRRRVVVUUUWWWXXXWWWTTTRRRTTTVVVVVVUUURRRMMMHHHDDDCCCDDDCCCCCCBBBCCCDDDFFFGGGHHHGGGJJJSSSdddyyy{{{rrrhhhcccfffnnnvvvvvv~~~===:::777555555666666555333333333333222111000000/////////////////////000+++,,,---......,,,+++))),,,+++***)))((((((((((((&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%################################################!!!"""""""""#########$$$""""""""""""""""""""""""""""""###$$$$$$$$$$$$$$$!!!""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%""""""#########$$$$$$$$$"""######$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$########################$$$$$$########################$$$$$$$$$######$$$$$$$$$$$$##############################!!!!!!"""###$$$$$$$$$$$$"""""""""""""""######$$$$$$$$$#########"""""""""$$$!!! """###"""%%%***'''%%%"""!!!"""#########""""""#########$$$$$$$$$""""""""""""""""""""""""!!!!!!!!!"""""""""""""""""""""""""""""""""""""""""""""""""""############"""""""""""""""#########################################################""""""""""""""""""""""""###$$$$$$%%%%%%$$$$$$###########################################################################""""""""""""""""""""""""########################""""""#########$$$$$$$$$###################################################$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''((((((((('''''''''''''''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""""""""#########$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%&&&''''''((('''&&&&&&''')))***((('''&&&''''''(((((((((((((((''''''((()))))))))))))))***)))))))))))))))))))))***))))))))))))***++++++***(((&&&''')))+++,,,,,,++++++++++++++++++++++++)))+++---------///333777===CCCKKKRRRUUUVVVVVVVVVTTTUUUXXX[[[]]]^^^^^^___YYYWWWSSSPPPOOOPPPSSSTTTUUUXXXYYYXXXTTTTTTXXX\\\VVVUUURRRMMMGGGCCCAAAAAA???EEEJJJKKKGGGGGGLLLQQQ\\\dddqqqtttppprrr}}}~~~|||===:::777555666666666666444444444444333222111111////////////000000000000+++,,,---......,,,***))),,,+++***)))((((((((((((&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&################################################!!!!!!""""""#########$$$""""""""""""""""""""""""!!!"""###$$$$$$$$$$$$$$$!!!""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%""""""######$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$#########%%%$$$$$$$$$######""""""######$$$$$$$$$$$$####################################$$$$$$$$$$$$##############################!!!!!!"""############""""""""""""""""""######$$$$$$$$$$$$$$$############$$$!!! """###"""%%%)))'''$$$!!!!!!"""###$$$$$$""""""######$$$$$$$$$$$$######################## !!!!!!""""""######""""""""""""""""""""""""""""""""""""############!!!!!!""""""######$$$$$$################################################""""""""""""""""""""""""###$$$%%%&&&&&&%%%$$$###########################################################################""""""""""""""""""""""""########################""""""######$$$$$$$$$$$$###################################################$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''')))))))))((('''''''''&&&&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!""""""######$$$$$$$$$$$$#########$$$$$$%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%&&&'''(((((('''&&&&&&''')))***)))'''&&&''''''((((((((((((((('''(((((()))))))))))))))*********)))))))))))))))***************++++++,,,***(((&&&&&&)))+++,,,,,,++++++++++++++++++++++++***---///111222666<<>>CCCIIIOOOTTTXXXZZZ]]]]]]]]][[[XXXVVVUUUVVVTTTPPPMMMNNNRRRTTTRRRNNNMMMGGGBBB@@@>>>===@@@EEEUUUWWW]]]nnn:::888555444555555555444333333333333222111000000///............---------------......------,,,++++++***))))))((('''''''''%%%$$$$$$%%%&&&&&&%%%###$$$$$$%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$###$$$&&&''''''&&&$$$###########################################################################""""""#########$$$$$$$$$$$$#########""""""!!!!!!"""""""""###$$$$$$%%%%%%""""""#########$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&########################""""""#########$$$$$$$$$################################################""""""!!!!!!""""""###$$$$$$$$$$$$#########""""""###$$$$$$$$$$$$$$$$$$############"""""""""""""""######"""""""""""""""###$$$######""""""!!!!!!!!!"""""""""""""""###############"""!!! !!!!!!"""""""""""""""""""""""""""""""""######$$$$$$$$$$$$$$$###"""!!!!!!"""######""""""!!!!!!"""###$$$$$$""""""""""""""""""""""""!!!!!!!!!!!!!!!!!!!!!!!!"""""""""""""""""""""""" !!!!!!"""###$$$$$$$$$!!!!!!"""###$$$$$$%%%%%%"""###%%%&&&&&&%%%###"""########################""""""""""""""""""""""""""""""""""""""""""""""""!!!"""""""""####################################!!!!!!"""""""""#########""""""""""""""""""""""""###########################$$$$$$$$$$$$###""""""##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&'''''''''&&&&&&&&&&&&'''((()))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""##################"""$$$$$$######$$$$$$%%%&&&"""###$$$%%%%%%%%%%%%%%%############$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%&&&'''''''''&&&&&&&&&&&&''''''''''''''''''''''''(((((((((((('''(((((((((((()))))))))((()))))))))******************+++,,,,,,,,,,,,+++*********+++++++++,,,,,,)))))))))***************)))******+++,,,000555999BBBEEEIIINNNSSSVVVXXXYYY\\\]]]]]]ZZZVVVRRRPPPPPPOOOKKKHHHIIIMMMNNNKKKHHHDDDAAAAAADDDFFFEEEHHHLLLUUUXXXddd999777555444555555555444333333333333222111000000///............---------------......------,,,++++++***)))(((''''''((((((%%%$$$$$$%%%&&&&&&%%%#########$$$$$$$$$$$$######&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$&&&&&&$$$###!!!########################!!!!!!"""######"""!!!!!!####################################$$$$$$$$$$$$!!!!!!""""""#########$$$""""""#########$$$$$$$$$""""""#########$$$$$$$$$######$$$%%%%%%%%%%%%$$$########################""""""#########$$$$$$$$$################################################"""""""""""""""######$$$$$$$$$$$$###############""""""############""""""""""""""""""""""""#########"""""""""""""""######$$$$$$######""""""!!!!!!######""""""""""""""""""!!!!!!!!!!!!!!!""""""###""""""""""""###############$$$$$$$$$$$$###"""!!!""""""""""""""""""######$$$$$$###"""!!!!!!""""""""""""""""""""""""""""""!!!!!!!!!!!!!!!!!!!!!!!!""""""""""""############ !!!"""###$$$$$$%%%!!!""""""###$$$%%%%%%&&&######""""""""""""############$$$$$$$$$$$$######""""""""""""""""""""""""""""""""""""""""""""""""!!!"""""""""############""""""""""""""""""""""""""""""""""""############""""""""""""""""""""""""###########################$$$$$$$$$$$$###""""""##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""######"""!!!!!!$$$$$$######$$$$$$%%%&&&""""""###$$$%%%%%%%%%%%%$$$#########$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&'''((((((&&&&&&&&&'''''''''((((((&&&'''''''''(((((())))))(((((((((((()))))))))***((()))))))))******************+++,,,,,,,,,,,,+++))))))))))))*********+++)))*********+++++++++,,,((()))+++---111666===AAAIIIKKKNNNRRRTTTVVVWWWWWWWWWYYYYYYWWWRRRMMMJJJHHHHHHFFFDDDDDDEEEDDDBBB@@@;;;>>>HHHUUU\\\]]]^^^aaagggooo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bbbuuu999777444444555666666555333333333333222111000000///............---------------......------,,,++++++***(((''''''''')))***%%%$$$$$$%%%&&&&&&%%%###%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######################## !!!###$$$$$$###!!! #################################$$$$$$$$$%%%%%%!!!!!!""""""######$$$$$$%%%%%%$$$$$$###""""""""""""############$$$$$$$$$######$$$%%%%%%%%%%%%$$$########################"""############$$$$$$$$$########################""""""#########$$$$$$$$$"""######$$$$$$$$$$$$$$$########################"""######$$$$$$######"""!!!"""""""""############"""""""""""""""###$$$$$$##################$$$$$$############"""""""""!!! !!!###$$$$$$""" """"""#########$$$$$$$$$"""###$$$%%%%%%$$$"""!!!!!!!!!"""#####################"""""""""""""""###""""""""""""""""""""""""########################""""""#########$$$$$$$$$!!!!!!""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$%%%%%%$$$$$$###""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""############""""""""""""""""""""""""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$###""""""##############################$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&''''''''''''%%%&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%$$$###"""$$$$$$######$$$$$$%%%&&&######$$$%%%%%%%%%$$$$$$&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&'''(((((((((''''''''''''((((((((((((&&&&&&''''''((())))))***(((((()))))))))*********))))))))))))************((()))******++++++******))))))*********+++++++++++++++,,,------...//////111444999===AAAFFFKKKOOONNNNNNOOOQQQSSSUUUWWWYYYQQQOOOLLLHHHDDDBBBCCCDDDEEEMMMVVV[[[\\\```gggnnnrrrxxx999666444444555666666555333333333333222111000000//////.........---------------......------,,,++++++***((('''&&&''')))***%%%%%%$$$%%%&&&'''%%%###&&&''''''((((((''''''&&&###$$$&&&''''''&&&$$$###$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&########################!!!"""$$$%%%%%%$$$"""!!!##############################$$$$$$$$$%%%%%%%%%############""""""""""""&&&%%%%%%$$$###"""!!!!!!"""############$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%########################"""############$$$$$$$$$########################""""""######$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$##################$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$!!!!!!""""""#########$$$""""""!!!""""""###$$$$$$"""""""""###$$$$$$$$$%%%$$$#########""""""!!!!!!!!!"""%%%&&&$$$!!!""""""######$$$$$$$$$$$$ !!!###%%%&&&%%%$$$### !!!"""###############!!!!!!!!!!!!"""###$$$%%%""""""""""""""""""""""""########################""""""######$$$$$$$$$$$$""""""""""""############%%%%%%$$$$$$$$$$$$$$$$$$"""###%%%''''''%%%###"""###$$$%%%&&&&&&%%%$$$###""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""####################################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$###""""""##############################$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&''''''''''''%%%&&&''''''((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&#########$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&''''''&&&$$$###$$$$$$######$$$$$$%%%&&&$$$$$$%%%%%%%%%$$$$$$###'''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&'''(((((((((''''''''''''((((((((()))&&&&&&&&&'''((())))))***))))))))))))************))))))))))))************(((((()))*********************+++++++++,,,,,,,,,,,,,,,------...///000000888;;;???CCCGGGKKKOOORRRJJJJJJKKKMMMPPPTTTWWWYYYQQQNNNHHHBBB>>>???CCCGGGHHHUUUeeeooottt}}}~~~ooonnnrrr{{{<<<999666555555666555444555555444333222000000///////////////............,,,---------------------+++***)))(((((('''''''''((('''&&&&&&(((((('''&&&###&&&(((%%%!!! ###&&&'''&&&&&&%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""###$$$$$$%%%%%%$$$$$$$$$######"""""""""############$$$%%%&&&&&&%%%$$$######%%%%%%$$$###%%%%%%%%%$$$$$$###############$$$%%%%%%%%%%%%$$$$$$$$$$$$#########""""""###$$$$$$%%%%%%$$$$$$###!!!!!!!!!!!!!!!!!!!!!!!!###############$$$$$$%%%$$$%%%%%%%%%$$$###!!! """############$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%################################################%%%$$$###!!!!!!!!!"""###$$$#########""""""!!!!!!$$$!!!!!!######!!!!!!$$$######$$$$$$$$$$$$##############################!!! !!!$$$%%%$$$$$$""""""""""""####################################""""""""""""""""""""""""""""""""""""""""""""""""###"""""""""""""""###$$$""""""""""""############"""!!! !!!###$$$""""""""""""""""""""""""""""""""""""""""""""""""$$$$$$$$$############"""""""""###$$$$$$$$$$$$###################################################""""""""""""""""""""""""########################"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ !!!"""###$$$$$$%%%$$$$$$##################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$######$$$%%%'''((()))((('''&&&%%%&&&&&&'''&&&&&&&&&'''''''''(((((())))))))))))******************)))))))))))))))***************************)))))))))))))))))))))))))))+++------+++***+++,,,---......------...111444AAACCCFFFJJJLLLMMMMMMMMMLLLLLLLLLKKKLLLQQQWWW\\\XXXNNNCCC<<<>>>III\\\kkkkkkqqqzzzwwweee___ccclllsss}}}pppnnnyyy<<<999666555555666555444555444444333222111000///////////////.....................------,,,,,,++++++***)))((((((''''''''''''&&&%%%&&&'''''''''%%%%%%(((***((($$$"""%%%(((&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$#########$$$$$$$$$###$$$$$$%%%%%%%%%$$$######%%%%%%$$$###%%%%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%$$$$$$$$$$$$#########"""""""""######$$$$$$######"""""""""""""""""""""""""""!!!!!!!!!!!!!!!"""######$$$$$$%%%%%%$$$###"""!!!"""############$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%################################################%%%$$$"""!!!!!!!!!"""###############"""""""""!!!###!!!###&&&&&&###!!!#########$$$$$$$$$$$$##############################"""!!! !!!###$$$$$$###""""""""""""####################################""""""""""""""""""""""""""""""""""""""""""""""""$$$###""""""!!!!!!!!!!!!""""""""""""############"""!!!!!! !!!"""###$$$""""""""""""""""""""""""########################""""""######$$$$$$$$$%%%""""""###$$$$$$$$$$$$###################################################################################################"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!""""""######$$$$$$$$$$$$##################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$$$$$$$&&&'''((()))((('''&&&%%%&&&&&&'''&&&&&&&&&'''''''''(((((())))))))))))************+++***)))(((((()))******************************************************+++,,,------,,,++++++*********,,,---///333999>>>JJJKKKMMMOOOPPPPPPOOONNNMMMMMMLLLJJJKKKQQQYYY```lll\\\HHHAAAMMMhhh}}}vvvwww}}};;;999666555555666555444555444333333222111000000////////////............//////...---,,,++++++***+++***)))(((((('''''''''&&&%%%$$$%%%&&&'''&&&$$$%%%''')))(((%%%###%%%((($$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&%%%%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%$$$######%%%%%%$$$###%%%%%%%%%$$$$$$$$$$$$#########$$$%%%%%%%%%%%%$$$$$$$$$$$$###############"""""""""######"""""""""########################"""!!!!!!!!!!!!"""############$$$$$$$$$######""""""############$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%################################################$$$###""""""!!!"""""""""############""""""""""""""""""%%%******%%%""""""######$$$$$$$$$$$$#################################"""!!!"""###$$$###"""""""""""""""####################################""""""""""""""""""""""""""""""""""""""""""""""""$$$$$$"""!!! """"""""""""############"""!!!!!!!!!!!!"""###$$$""""""""""""""""""""""""######################## !!!"""###$$$%%%&&&&&&""""""###$$$$$$$$$$$$###################################################################################################"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''((((((((('''&&&&&&&&&&&&'''&&&&&&'''''''''((((((((())))))))))))************+++***((('''''')))***,,,************************************************,,,,,,---///111111///---+++---///111555<<>>???GGGUUU```uuuxxxqqqooozzz:::888666555666666666555444333333222222111111111////////////............,,,,,,,,,------.........+++***)))(((''''''''''''&&&%%%$$$$$$&&&&&&%%%$$$###%%%&&&&&&&&&%%%%%%%%%######$$$$$$%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$############%%%$$$######%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$###########################$$$$$$$$$$$$$$$$$$###########################$$$$$$$$$$$$$$$%%%%%%&&&##################$$$$$$""""""#########$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%################################################"""""""""#########""""""""""""""""""""""""######""""""'''------'''""""""######$$$$$$$$$$$$######""""""""""""""""""""""""$$$###!!!"""######"""!!!!!!"""""""""####################################################################################  !!!""""""!!!"""""""""############!!!""""""###############""""""""""""""""""""""""################################################""""""###$$$$$$$$$$$$###################################################################################################""""""#########$$$$$$$$$#################################$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$##################$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''''''''&&&&&&'''''''''''''''''''''''''''((((((((())))))((()))))))))***************)))((('''((()))+++,,,************************************************+++++++++...111333333333222777===CCCGGGJJJMMMOOOQQQQQQPPPNNNLLLJJJIIIHHHCCCCCCBBB???@@@IIIYYYeeetttwwwxxx}}}~~~:::888555555666777666666333333333222222222111111////////////............***++++++,,,---...//////+++***)))(((((('''''''''&&&%%%$$$%%%&&&'''&&&$$$%%%&&&((())))))(((''''''######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&'''%%%%%%$$$$$$###$$$$$$$$$%%%$$$######%%%%%%$$$######$$$$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$###############$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###########################""""""""""""###$$$$$$$$$$$$######"""######$$$"""############$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%################################################!!!!!!"""############"""""""""""""""############""""""%%%******%%%""""""######$$$$$$$$$$$$######""""""""""""""""""""""""###"""!!!"""###$$$###"""""""""""""""#################################################################################### !!!"""$$$$$$""""""""""""############!!!"""######$$$$$$######""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""""""""###$$$$$$$$$$$$###################################################$$$$$$$$$$$$$$$$$$$$$$$$########################"""############$$$$$$$$$#################################$$$$$$%%%%%%&&&#########$$$$$$%%%%%%&&&######$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&''''''(((((('''%%%&&&''''''((('''''''''''''''((((((((()))))))))))))))))))))************((((((((())))))***++++++************************++++++++++++++++++++++++,,,,,,---,,,+++,,,///222444999@@@FFFJJJMMMOOOQQQUUUSSSPPPMMMIIIFFFCCCBBB@@@DDDGGGGGGJJJUUUfffsss:::777555555666777777666333333333222222222222111////////////............+++,,,,,,------.........+++***)))((((((''''''''''''&&&%%%&&&'''''''''%%%%%%&&&''')))******(((&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$%%%%%%&&&&&&$$$$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$###$$$$$$%%%%%%%%%$$$######%%%%%%$$$#########$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$""""""#########$$$$$$$$$######$$$$$$$$$$$$######""""""""""""""""""""""""######""""""######$$$%%%&&&%%%$$$"""""""""######"""############$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%################################################ !!!"""###$$$######"""!!!"""""""""###############!!!###&&&&&&###!!!#########$$$$$$$$$$$$######"""""""""""""""""""""""""""!!! !!!###$$$$$$###""""""""""""####################################################################################!!!!!!!!!!!!""""""###$$$""""""""""""############!!!"""###$$$$$$$$$######""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$""""""###$$$$$$$$$$$$###################################################$$$$$$$$$$$$$$$$$$$$$$$$########################"""############$$$$$$$$$########################"""######$$$%%%%%%&&&&&&"""######$$$%%%%%%&&&&&&#########$$$$$$%%%%%%%%%######$$$$$$%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''((((((((('''%%%%%%'''((((((((('''''''''((((((((())))))))))))))))))))))))************&&&''')))***++++++******************************+++++++++++++++++++++++++++...000---***,,,444;;;???BBBEEEHHHKKKMMMQQQSSSRRRQQQNNNLLLIIIGGGEEEEEEJJJQQQZZZ___fffrrr}}}{{{999777555555666777777666333333222222222222222222000/////////............---------------------,,,+++***)))(((((('''''''''((('''&&&&&&(((((('''&&&###$$$%%%''')))(((&&&$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$%%%&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&############$$$%%%&&&&&&%%%$$$######%%%%%%$$$############$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$""""""######$$$$$$$$$$$$""""""############""""""!!!!!!!!!!!!!!!!!!!!!!!!%%%%%%$$$$$$%%%%%%&&&''''''&&&$$$"""!!!!!!"""""""""############$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%################################################ !!!"""$$$$$$$$$###"""!!!!!!""""""#########$$$$$$!!!!!!######!!!!!!$$$######$$$$$$$$$$$$######""""""""""""""""""""""""!!! !!!$$$%%%%%%$$$""""""""""""####################################################################################$$$###"""""""""""""""###""""""""""""############!!!"""###$$$%%%$$$######""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""###$$$%%%%%%&&&""""""###$$$$$$$$$$$$###################################################$$$$$$$$$$$$$$$$$$$$$$$$########################"""############$$$$$$$$$########################""""""###$$$%%%%%%&&&&&&""""""###$$$%%%%%%&&&&&&""""""###$$$%%%%%%&&&&&&######$$$%%%%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&'''''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&(((((((((((('''$$$%%%'''(((((((((''''''(((((((((((())))))))))))))))))))))))************%%%''')))+++,,,+++***)))************************++++++++++++++++++++++++)))...222000...222>>>HHHMMMMMMMMMLLLKKKMMMQQQTTTQQQQQQPPPOOOOOOPPPPPPPPP]]]gggsss|||tttrrruuuuuupppmmmsss>>>;;;777444444444444444222222333444444444333333111///---,,,,,,,,,...///,,,,,,,,,,,,,,,,,,,,,,,,...---+++)))((('''&&&&&&)))&&&$$$&&&+++---+++(((&&&&&&&&&'''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&!!!!!!"""###$$$$$$%%%%%%$$$%%%'''(((((('''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###############$$$$$$$$$######"""########################%%%%%%%%%%%%$$$$$$###"""$$$$$$###"""!!! &&&%%%%%%$$$#########$$$%%%$$$###""""""###$$$$$$########################!!!!!!"""###$$$%%%%%%%%%'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""$$$$$$#####################"""""""""###$$$%%%%%%"""############$$$$$$$$$"""!!!"""$$$&&&&&&$$$"""######$$$$$$$$$%%%%%%%%%""""""""""""############"""###$$$%%%&&&%%%%%%$$$######$$$$$$&&&&&&''''''"""############$$$$$$$$$$$$$$$$$$#########""""""$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""""""""""""""""""""""""""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""%%%$$$###"""!!!$$$$$$############$$$$$$###########################$$$%%%&&&&&&%%%$$$######$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###!!!!!!"""###$$$&&&'''(((&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$""""""###$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((((((((((('''''''''))))))))))))))))))))))))))))))*********))))))((('''''''''((())))))*********++++++,,,,,,++++++***,,,+++***+++,,,,,,,,,+++///...///000...444HHH\\\aaaSSSLLLQQQUUUSSSTTTYYYSSSTTTWWW^^^gggmmmnnnlllsss}}}yyysssoooddd]]]kkk}}}{{{===:::666444444555555555333333333444444333222222000///---,,,,,,---...///,,,,,,,,,,,,,,,,,,,,,,,,...---+++)))(((''''''&&&(((%%%###%%%)))+++)))&&&%%%&&&&&&'''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&""""""######$$$%%%%%%%%%$$$%%%&&&((((((&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$######"""########################$$$$$$$$$$$$$$$###""""""$$$######""""""!!!!!!!!!&&&%%%$$$$$$######$$$$$$%%%$$$###""""""###$$$$$$########################"""""""""###$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""#################################"""######$$$$$$"""############$$$$$$$$$"""""""""$$$%%%&&&$$$"""""""""#########$$$$$$$$$""""""""""""############"""###$$$%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$$$$$$$$$$#########""""""#################################################################################$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""%%%$$$######"""!!! $$$$$$############$$$$$$##############################$$$$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$"""""""""###$$$%%%&&&'''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$###"""######$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&'''(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''((((((((((((((((((((('''))))))))))))))))))))))))))))))************))))))((((((((()))******++++++++++++,,,,,,,,,,,,++++++,,,+++***++++++,,,++++++...---...111222999KKK]]]ccc[[[RRRNNNMMMNNNUUU]]]ccchhhqqq|||zzzwwwmmmeeelll{{{;;;999555444555666666666444444444444333222222111000///...,,,,,,---......---------------------------,,,+++)))((('''''''''%%%###"""###'''((('''$$$%%%%%%&&&&&&'''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%&&&''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###"""######$$$$$$$$$##############################$$$$$$$$$$$$$$$######"""########################%%%%%%$$$$$$######$$$$$$$$$$$$############$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$##################$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#######################################$$$$$$######"""#########"""############$$$$$$$$$###""""""###%%%%%%$$$"""!!!!!!"""""""""#########""""""""""""############"""######$$$$$$###""""""$$$$$$$$$######""""""""""""############$$$$$$$$$$$$$$$$$$####################################################################################### !!!"""###$$$%%%%%%&&&$$$$$$%%%%%%%%%$$$######$$$$$$$$$#########""""""$$$$$$############$$$$$$#################################""""""###############$$$%%%%%%$$$######""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$######$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''''''''(((((((((((((((((())))))))))))))))))))))))))))))***************)))))))))******+++,,,,,,,,,++++++,,,,,,,,,,,,++++++,,,,,,++++++++++++,,,,,,------000555999AAANNNYYYdddddd]]]RRRPPP[[[kkkvvv}}}:::777555444555777777666555555555444333222111000000///...------------...........................---,,,+++)))((('''''''''%%%###"""###&&&'''&&&$$$%%%%%%&&&&&&'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&&&&&&&%%%$$$###$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$##############################$$$$$$%%%%%%%%%%%%$$$$$$#########$$$$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%$$$$$$###$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############""""""######$$$$$$$$$%%%############$$$$$$$$$$$$#######################################$$$$$$$$$%%%%%%$$$###"""""""""###""""""#########$$$$$$$$$$$$###"""###$$$%%%$$$"""""""""""""""#########$$$!!!"""""""""########################"""""""""!!!$$$$$$$$$$$$############""""""#########$$$$$$$$$################################################################################################""""""######$$$$$$%%%%%%$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$########################$$$###"""!!!!!!"""###$$$######$$$$$$$$$$$$######################################################$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''%%%$$$"""###$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((())))))***+++++++++************++++++,,,---------+++,,,,,,,,,,,,,,,,,,+++,,,,,,,,,+++++++++---......111666<<>>BBBDDDDDDHHHGGGFFFDDDAAAEEEUUUfffooolllooo{{{qqqlllggg~~~999777666666888888888666333333333333222111000000000000///..................---,,,,,,++++++,,,,,,,,,,,,+++***)))(((((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$$$$%%%%%%$$$######%%%%%%%%%###$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&&&&%%%$$$###$$$###########################$$$%%%%%%$$$$$$&&&((($$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$#########$$$$$$######$$$$$$%%%&&&%%%))))))%%%$$$&&&&&&$$$########################$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%$$$###$$$%%%$$$######""""""######$$$%%%%%%%%%$$$$$$#######################################""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$############################################################$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###############$$$$$$$$$$$$""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$######""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######################################################""""""######$$$%%%########################$$$$$$############$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&&&&&&&&&&%%%&&&''''''&&&&&&((()))'''''''''''''''(((((((((&&&&&&&&&''''''''''''(((((((((((((((((((((((((((((()))))))))******************+++++++++,,,,,,,,,,,,------...------,,,,,,---------------.........///222888>>>CCCFFFFFFEEEIIIFFFCCCBBBBBBIIIXXXgggtttxxx888777666777888999888666333333333333222111000000000000///..................---,,,,,,++++++,,,,,,,,,,,,+++***)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%%%%$$$######%%%%%%$$$###$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$###""""""$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&#########$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%******&&&###%%%&&&$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$############$$$$$$%%%%%%$$$$$$$$$$$$$$$##########################################$$$$$$%%%########################################################################"""""""""######$$$$$$$$$###$$$$$$%%%%%%%%%$$$$$$""""""#########$$$$$$$$$""""""""""""""""""""""""##############################""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""######$$$$$$$$$######$$$$$$$$$%%%%%%%%%######################################################""""""######$$$%%%########################$$$$$$############$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''''''''&&&&&&'''(((((('''&&&%%%%%%&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&''''''''''''(((((((((((((((((((((((((((((()))))))))******************+++++++++,,,,,,,,,,,,,,,------...------,,,---------------///000111333777>>>DDDHHHHHHGGGFFFFFFDDDEEEJJJPPPXXXcccmmm{{{~~~777666666777999999888666333333333333222111000000000000///..................---,,,,,,++++++,,,,,,,,,+++***)))((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$%%%&&&&&&&&&&&&$$$###$$$%%%%%%$$$"""$$$$$$######$$$$$$%%%&&&###$$$$$$$$$$$$%%%%%%%%%"""$$$&&&%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""#########!!!!!!###$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&""""""###$$$%%%&&&&&&'''$$$$$$######$$$$$$%%%&&&%%%***+++&&&######%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$######$$$%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$############$$$%%%%%%""""""""""""""""""""""""################################################!!!!!!""""""###$$$$$$$$$######$$$%%%%%%%%%$$$$$$"""""""""############$$$########################""""""""""""""""""""""""######""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!""""""###$$$$$$$$$######$$$$$$$$$%%%%%%%%%######################################################""""""######$$$%%%########################$$$$$$############$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&'''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$%%%&&&((((((''''''&&&'''((()))'''%%%$$$$$$%%%$$$$$$%%%%%%&&&'''''''''&&&&&&&&&''''''''''''((())))))))))))))))))))))))))))))))))))******************+++++++++,,,,,,,,,,,,,,,------......------------------...111333444999>>>EEEJJJKKKIIIGGGFFFAAAEEEOOO\\\eeellluuu~~~666666666888999:::888666333333333333222111000000000000///..................---,,,,,,++++++,,,,,,+++***)))((('''%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&&&&%%%###$$$%%%%%%%%%%%%$$$#########$$$$$$%%%&&&&&&'''&&&%%%###$$$%%%%%%$$$"""$$$$$$######$$$$$$%%%&&&######$$$$$$$$$%%%%%%%%%$$$%%%%%%$$$######$$$&&&###########################$$$$$$###""""""###%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''#########$$$$$$%%%%%%&&&$$$$$$######$$$$$$%%%&&&$$$***+++&&&""""""$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$$$$######$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$######$$$$$$%%%&&&########################################################################!!!!!!!!!"""###$$$$$$$$$"""###$$$%%%%%%%%%%%%$$$""""""""""""############$$$$$$$$$$$$$$$$$$$$$$$$##############################""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!"""###$$$$$$$$$######$$$$$$$$$%%%%%%%%%######################################################""""""######$$$%%%########################$$$$$$############$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&########################"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&'''((()))))))))''''''''''''''''''''''''''''''''''''''''''''''''$$$%%%'''((()))((('''&&&%%%'''''''''%%%%%%%%%'''%%%%%%%%%&&&'''(((((((((&&&&&&&&&''''''''''''((())))))))))))))))))))))))))))))))))))******************+++++++++,,,,,,,,,+++,,,------......---------------...000333666888???DDDKKKNNNLLLIIIFFFEEE>>>KKK___nnntttxxx666666666888::::::888666333333333333222111000000000000///..................---,,,,,,++++++,,,,,,******)))'''&&&%%%######&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&&&&&&&###$$$%%%&&&&&&%%%$$$#########$$$%%%%%%&&&''''''&&&%%%$$$$$$%%%%%%###"""$$$$$$######$$$$$$%%%&&&#########$$$$$$%%%%%%%%%%%%%%%%%%###""""""%%%'''""""""""""""""""""""""""$$$%%%%%%$$$######$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$)))+++&&&!!!!!!###############$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$$$$######$$$&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$################################################ !!!!!!"""###$$$$$$$$$"""###$$$%%%%%%%%%%%%%%%""""""""""""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ !!!!!!"""###$$$$$$$$$######$$$$$$$$$%%%%%%%%%#########################################################"""###$$$$$$%%%########################$$$$$$############$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%&&&&&&'''########################""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&'''((())))))***''''''''''''''''''''''''(((((((((((((((((((((((($$$%%%'''))))))((('''&&&###%%%&&&&&&&&&&&&''')))&&&&&&&&&'''((())))))***&&&&&&&&&'''''''''(((((())))))))))))))))))))))))))))))))))))******************+++++++++,,,,,,,,,+++,,,,,,---.........------------...111444888:::CCCHHHNNNOOOMMMHHHEEEEEE>>>RRRkkkyyyyyyzzz|||||||||yyyxxxzzz;;;777444444666888777555666666555444333111000///////////////....................................++++++***)))((('''&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&%%%$$$###&&&&&&&&&&&&%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$###$$$%%%%%%%%%%%%$$$######################################################$$$$$$$$$$$$$$$$$$$$$$$$$$$###!!!!!!###(((,,,///$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$)))(((&&&%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%&&&&&&########################$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$%%%%%%"""############$$$$$$$$$########################""""""""""""""""""""""""###################################################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$#########""""""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###""""""###$$$%%%####################################$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################""""""#########$$$$$$$$$%%%$$$$$$######$$$$$$%%%######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$##################&&&%%%$$$$$$%%%%%%$$$"""%%%$$$""""""%%%'''(((((($$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&###%%%'''(((''''''((()))''''''&&&&&&&&&&&&''''''((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&''''''(((((('''''''''&&&&&&&&&'''''''''&&&&&&%%%%%%%%%'''''''''''''''&&&&&&&&&(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))************))))))))))))************,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------------...///000000111777AAAHHHOOOPPPOOOMMMHHHCCCAAABBBLLLjjj}}}xxxtttuuuzzzzzzzzzuuusssoooooojjjbbbaaaqqqzzzsssnnnnnnssswwwuuurrr<<<888555555777999888666555555555444333111//////////////////............------------------------++++++***)))((('''&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$######%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$###%%%%%%%%%&&&%%%%%%$$$###################################################$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""$$$'''***,,,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$###############$$$%%%%%%########################$$$$$$############$$$$$$########################%%%%%%$$$######$$$%%%%%%"""############$$$$$$$$$###################################################################################################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$###$$$#########""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""###$$$$$$####################################$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$##################%%%$$$$$$$$$%%%&&&&&&%%%%%%$$$######&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%&&&&&&&&&###%%%''''''&&&&&&'''((((((''''''&&&&&&''''''(((((((((((((((((((((((((((&&&&&&'''''''''((((((((((((((('''''''''&&&&&&&&&'''''''''&&&&&&%%%%%%%%%''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))************))))))))))))************++++++++++++++++++++++++---------...............///000000222666<<>>999555444666888888666666666555444333333333333//////000000000000//////------............------,,,,,,+++)))(((&&&%%%%%%%%%$$$$$$%%%&&&&&&%%%###&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''(((((((((&&&$$$%%%'''((('''$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$###"""""""""###$$$%%%%%%%%%$$$######$$$%%%%%%###$$$%%%%%%######$$$%%%###$$$$$$%%%%%%$$$$$$###%%%$$$$$$######$$$$$$%%%"""###$$$$$$###"""###%%%%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&$$$######$$$$$$$$$%%%%%%$$$######$$$&&&########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%""""""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$&&&&&&%%%%%%$$$######"""$$$%%%&&&&&&$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###########################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$###""""""######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%&&&'''((()))$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&((()))((('''&&&'''((())))))'''((((((((((((((((((((((((((((((((((((((((((((((((''''''(((((())))))******(((((((((((())))))))))))))))))(((((('''''''''&&&''''''''''''(((((((((((())))))))))))))))))))))))(((((((((((()))))))))))))))************+++++++++,,,,,,++++++++++++++++++,,,,,,------------------...///***---666555111999@@@GGGQQQWWWUUUTTT\\\fffwww~~~zzzggg[[[SSSPPPOOOPPPZZZfffooowww???;;;666555777888888777666555444333333222222222000000000000000000000000------............------,,,+++***)))((('''&&&%%%%%%$$$$$$%%%&&&&&&%%%###&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%###!!!"""$$$%%%###"""&&&&&&&&&%%%%%%$$$$$$$$$$$$######"""###$$$%%%&&&%%%%%%$$$######$$$%%%%%%###$$$%%%%%%######$$$%%%###$$$$$$%%%%%%$$$$$$###%%%$$$$$$######$$$$$$%%%###$$$%%%$$$###"""###$$$%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&$$$######$$$$$$$$$%%%%%%$$$######$$$&&&########################$$$$$$$$$$$$############%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%$$$###$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###########################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$###############$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%'''(((((($$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&'''((()))((('''&&&'''((())))))'''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((()))(((((((((''''''''''''''''''''''''(((((((((((())))))))))))))))))))))))(((((((((((()))))))))))))))************+++++++++++++++++++++++++++,,,,,,,,,,,,------------......---111...///444222444AAAHHHNNN\\\kkkqqqmmmlllooo}}}qqqccc\\\\\\aaafffyyy@@@<<<777666888999888666555444444333333222222111111000////////////000111------............------+++******)))(((''''''&&&%%%$$$$$$%%%&&&&&&%%%###&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%############$$$$$$$$$$$$&&&%%%$$$%%%&&&'''&&&$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%$$$$$$######$$$$$$%%%###$$$%%%%%%######$$$%%%###$$$$$$%%%%%%$$$$$$###%%%$$$$$$######$$$$$$%%%%%%&&&'''&&&$$$######$$$$$$$$$%%%%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%$$$$$$$$$$$$$$$%%%%%%$$$######$$$&&&####################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$######"""###$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$!!!!!!""""""###$$$%%%%%%###$$$%%%$$$#########%%%$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###########################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((($$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%$$$$$$$$$$$$###%%%&&&''''''''''''%%%$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&'''((())))))((('''&&&'''((())))))'''(((((((((((((((((((((((((((((((((((((((((((((((()))(((((('''&&&&&&%%%%%%&&&&&&&&&&&&''''''''''''((((((((((((''''''''''''''''''''''''(((((((((((())))))))))))))))))))))))(((((((((((()))))))))))))))************+++++++++******++++++,,,,,,------,,,,,,---------.........,,,444333111444555@@@UUUaaabbbqqq}}}{{{}}}~~~|||wwwtttyyy???;;;777666777888666444444444444333333222111111222111///......///111222------............------******))))))((((((''''''%%%$$$$$$%%%&&&&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$############$$$$$$$$$$$$''''''&&&&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%###$$$$$$%%%%%%$$$$$$###%%%$$$$$$######$$$$$$%%%&&&'''(((&&&$$$######$$$$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%$$$######$$$&&&########################$$$$$$$$$$$$%%%%%%%%%%%%########################%%%$$$$$$######$$$$$$%%%%%%$$$###""""""$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%######$$$%%%%%%%%%%%%$$$!!!!!!!!!"""######$$$$$$"""###$$$$$$""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###########################""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%'''''''''&&&$$$###%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''(((((())))))((('''&&&'''((())))))'''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&&&&'''''''''(((((((((((((((((((((((('''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))*********+++++++++******++++++,,,---......,,,,,,------......//////...555444222888???QQQkkk|||yyy~~~vvvyyyxxx~~~===999555555666777555333444444444444444222111000333111000......000111333------............------******))))))((((((''''''%%%$$$$$$%%%&&&&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%######$$$$$$#########$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%###$$$$$$%%%%%%$$$$$$###%%%$$$$$$######$$$$$$%%%&&&'''(((&&&$$$######$$$###$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$######$$$&&&########################%%%%%%%%%%%%&&&&&&''''''########################%%%$$$$$$######$$$$$$%%%&&&$$$###""""""$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$"""""""""""""""""""""""""""###$$$$$$""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###########################""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%$$$###"""%%%%%%%%%&&&&&&''''''''''''''''''(((((((((((((((((('''&&&'''((())))))'''((((((((((((((((((((((((((((((((((((((((((((((((''''''((((((((()))))))))''''''((((((((()))))))))'''''''''(((((((((((((((''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))*********+++++++++******+++,,,------......,,,,,,---......///000000///555333444===HHH]]]xxxuuuqqqiiieeelllwwwwwwooo:::777444444666777555333444555666666555444222111222111000000000000111222------............------+++******)))(((''''''&&&%%%$$$$$$%%%&&&&&&%%%###$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''$$$%%%&&&%%%$$$###$$$&&&$$$$$$%%%%%%%%%%%%&&&&&&######$$$%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$######$$$%%%%%%######$$$%%%###$$$$$$%%%%%%$$$$$$###%%%$$$$$$######$$$$$$%%%%%%&&&'''&&&$$$######$$$######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%$$$######$$$&&&########################$$$$$$%%%%%%&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&######$$$%%%%%%%%%%%%$$$#####################"""###$$$%%%$$$#########%%%$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###########################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$#########%%%%%%%%%&&&''''''((((((&&&''''''(((((((((''''''((('''&&&'''((())))))'''((((((((((((((((((((((((((((((((((((((((((((((((''''''(((((()))******+++(((((((((((()))))))))***'''''''''(((((((((((((((''''''''''''(((((((((((())))))))))))))))))))))))(((((((((((()))))))))))))))************+++++++++++++++,,,,,,------......,,,,,,---...///000000111111;;;>>>BBBLLLUUUiiihhh```VVVTTT^^^ooovvvuuu999666444555888999777444555666777777666555333111111111111111111111111111------............------,,,+++***)))((('''&&&%%%%%%$$$$$$%%%&&&&&&%%%###$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$%%%&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&%%%''')))(((&&&%%%'''((($$$$$$$$$%%%%%%&&&&&&&&&"""###$$$%%%%%%%%%$$$######$$$%%%%%%%%%%%%$$$######$$$%%%%%%######$$$%%%###$$$$$$%%%%%%$$$$$$###%%%$$$$$$######$$$$$$%%%###$$$%%%$$$###"""###$$$"""###$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%$$$$$$%%%%%%$$$######$$$&&&########################""""""###$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&######$$$%%%%%%%%%%%%$$$""""""######$$$%%%%%%%%%$$$%%%&&&%%%$$$###$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###########################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%((('''%%%#########$$$%%%%%%%%%&&&&&&'''(((((((((%%%&&&'''(((''''''&&&%%%((('''&&&'''((())))))'''(((((((((((((((((((((((((((((((((((((((((((((((('''((((((((((((((((((((('''''''''((((((((())))))''''''''''''((((((((()))''''''''''''(((((((((((())))))))))))))))))))))))(((((((((((()))))))))))))))************+++++++++,,,,,,------------------,,,,,,---...///000111111222FFFWWWaaaiiiooouuukkk___]]]YYY[[[gggyyy999666555666999:::999666555666888888777666333222000111222222222222111000---..................---,,,,,,+++)))(((&&&%%%%%%%%%%%%$$$%%%&&&'''%%%###$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!"""###%%%&&&'''((($$$$$$%%%%%%%%%&&&&&&&&&"""$$$&&&%%%###"""$$$&&&$$$$$$$$$%%%%%%&&&&&&&&&!!!"""###$$$%%%$$$#########$$$%%%&&&&&&%%%$$$######$$$%%%%%%######$$$%%%$$$$$$$$$%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%"""###$$$$$$###"""###%%%"""###$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&&&&%%%$$$$$$%%%%%%$$$######$$$&&&######################## !!!!!!"""######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&######$$$%%%%%%%%%%%%$$$!!!!!!"""$$$%%%&&&'''((($$$%%%&&&&&&$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$########################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$#########$$$$$$%%%%%%%%%+++)))&&&######$$$%%%'''%%%%%%&&&&&&'''((())))))%%%&&&'''''''''&&&%%%$$$((('''&&&''')))))))))'''((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&&&&'''''''''((((((&&&'''''''''(((((())))))''''''''''''((((((((()))))))))))))))))))))))))))(((((((((((()))))))))))))))************+++++++++------------------,,,,,,,,,,,,---...///000111222333QQQnnn}}}rrrhhhaaa[[[___eeelllttt???:::777888888666555777555444333444555555333111111000///......------...........................++++++***)))((('''&&&&&&&&&%%%%%%%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%"""$$$&&&((((((&&&$$$"""###$$$$$$%%%%%%$$$$$$###########################((('''%%%%%%&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$###"""###%%%'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%###"""""""""###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$'''"""%%%......%%%"""'''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%% !!!"""###$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%$$$$$$######$$$$$$%%%########################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###"""""""""$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$)))'''%%%%%%&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$$$$&&&&&&%%%$$$%%%$$$$$$%%%&&&'''((()))&&&'''''''''(((((())))))''''''((((((((((((''''''&&&&&&&&&'''''''''((((((((((((((((((((((((((((((******(((&&&''')))'''$$$!!!"""###%%%&&&''''''(((''''''''''''''''''''''''))))))(((((('''''''''&&&&&&'''((((((''''''(((***))))))))))))))))))))))))(((((((((((()))))))))))),,,,,,++++++***+++++++++---,,,,,,,,,,,,---......000555///+++111222///444999TTTzzzqqqhhhZZZWWWbbbgggzzz>>>:::777999999777555777777666555555666666444222111000///......------...........................++++++***)))((('''&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$$$$$$$%%%%%%%%%###$$$&&&''''''&&&$$$###$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$(((&&&%%%%%%&&&'''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%$$$######%%%'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$######$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%%%%&&&###############$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$%%%"""'''000000'''"""%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%!!!!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##################$$$%%%$$$$$$######$$$$$$%%%########################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&$$$$$$%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%&&&'''((((((''''''''''''((((((((()))''''''((((((((((((''''''&&&&&&&&&'''''''''(((((((((((((((((((((((((((((())))))((('''((()))(((%%%$$$%%%&&&((())))))))))))'''''''''''''''''''''''')))(((((((((''''''''''''&&&'''((((((''''''(((***))))))))))))))))))))))))(((((((((((()))))))))***,,,,,,+++++++++++++++,,,------,,,,,,------...///,,,111,,,)))000111///555999WWW}}}}}}sssnnnnnnfffccclllyyyqqqnnnoooooollliiijjjppptttssswww~~~yyyzzz===999888;;;;;;888666666888777666666777666444222111000///......------...........................++++++***)))((('''&&&&&&$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%(((&&&%%%%%%&&&'''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%$$$######%%%'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''$$$$$$############$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&%%%$$$$$$###$$$&&&&&&&&&&&&%%%%%%%%%%%%$$$###(((111111(((###$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$###$$$$$$%%%%%%$$$$$$$$$###########################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""######%%%$$$$$$######$$$$$$%%%########################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$######$$$%%%$$$"""$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$%%%&&&'''&&&%%%%%%%%%%%%&&&&&&'''((((((''''''''''''((((((((((((''''''((((((((((((''''''&&&&&&'''''''''(((((((((((((((((((((((((((((((((((('''''')))+++***)))'''''''''((()))))))))))))))''''''''''''''''''''''''((((((((((((''''''''''''&&&((())))))(((''')))***))))))))))))))))))))))))((((((((()))))))))******,,,,,,++++++++++++,,,,,,---------,,,------...///***///,,,***111111111:::<<<\\\zzzoooqqqnnnrrr~~~rrraaaXXXXXXZZZYYYVVVQQQTTTVVVVVVZZZccckkknnnzzzwwwvvv}}}<<<999999<<<===999666666888777666666666555333111111000///......------...........................*********)))((('''''''''$$$$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%%%%&&&&&&###$$$%%%%%%$$$$$$%%%'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''$$$######""""""######$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&'''''''''(((&&&&&&%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&((('''&&&%%%$$$#########&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$(((......((($$$%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""""""""#########$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%$$$$$$######$$$$$$%%%########################""""""#########$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###$$$%%%&&&$$$#########$$$%%%%%%&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$%%%''''''&&&%%%%%%%%%&&&''''''''''''''''''''''''(((((((((((((((''''''((((((((((((''''''''''''''''''(((((((((((((((((((((((((((((((((((('''%%%'''+++---+++))))))''''''((((((((((((''''''''''''''''''''''''''''''((((((((((((((('''''''''&&&((())))))(((((()))***))))))))))))))))))))))))(((((()))))))))*********,,,,,,+++++++++,,,---------------------...//////,,,111///...333333666CCCJJJddd}}}{{{wwwzzzwww}}}xxxdddVVVNNNKKKIIIGGGHHHIIIIIIIIIJJJNNNRRRSSS^^^jjj{{{~~~yyyxxx;;;888888<<<<<<999666666666555444555555444222000111000///......------...........................******))))))((((((''''''%%%%%%''''''((('''''''''$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&'''&&&$$$######$$$&&&'''%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''%%%%%%%%%''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&###%%%&&&&&&%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''$$$$$$############$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&'''''''''(((((((((''''''&&&&&&%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&((('''&&&%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%((((((%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$######$$$$$$%%%########################""""""#########$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$######""""""$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&''''''&&&$$$######$$$%%%%%%&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$%%%'''((('''&&&%%%&&&'''(((((((((''''''((((((((((((((('''''''''''''''(((((((((((('''''''''''''''((((((((())))))(((((((((((((((((((((((('''$$$'''---000,,,)))***((((((((()))(((((('''&&&(((((((((((((((((((((((('''''''''((((((((((((((('''((())))))(((((()))+++************************))))))))))))************,,,+++++++++,,,------......------------...//////...333000000555444;;;MMMbbbqqq~~~~~~}}}{{{vvvyyy|||sssaaaSSSKKKIIIHHHFFFFFFGGGGGGGGGGGGGGGHHHUUUgggwww;;;777666:::;;;888666777555444333444555555333111111000///......------...........................***)))))))))((((((((('''%%%&&&'''))))))(((((('''$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$%%%'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&###%%%''''''&&&%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%$$$$$$$$$$$$$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&'''''''''((((((''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&'''''''''''''''&&&%%%$$$$$$%%%&&&'''$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%########################"""############$$$$$$$$$#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""######$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%'''((((((&&&$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$%%%'''(((((('''&&&&&&((())))))((('''&&&((((((((((((((('''''''''''''''((((((((((((''''''''''''((((((((()))))))))((((((((((((((((((((((((((($$$'''000222,,,(((***)))***************)))((((((((((((((((((((((((((('''''''''((((((((((((((('''(((***)))(((((()))+++************************)))))))))*********++++++,,,++++++,,,,,,---...///......------......///000---111///000555555AAAYYY{{{~~~yyytttooopppyyynnn___YYYJJJFFFCCCEEEEEECCCAAABBBFFFMMMWWWbbbmmm}}};;;666555777888666666777444333333444666666555444111000///......------...........................))))))))))))(((((((((((($$$%%%'''((()))((('''&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$%%%'''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&###%%%''''''&&&%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&'''''''''(((&&&&&&&&&%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&"""###$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$######$$$$$$%%%########################"""############$$$$$$$$$"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$&&&((((((&&&###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$&&&((()))((('''&&&'''((())))))((('''&&&)))(((((((((''''''''''''''''''(((((((((((('''''''''((((((((())))))))))))(((((((((((((((((((((((()))$$$(((222444,,,''')))(((((()))******)))))))))((((((((((((((((((((((((''''''''''''((((((((()))''')))******))))))***+++************************))))))*********++++++++++++++++++,,,,,,...//////...............//////000,,,///...111777:::LLLiiixxxrrrooolllllluuuvvvcccYYYPPPMMMIIICCC@@@BBBGGGJJJMMMRRRZZZjjj~~~;;;666444666777555555888444444444555777888777666111000///......------...........................))))))))))))((((((((((((###$$$&&&(((((('''&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%########################&&&%%%$$$%%%'''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&###%%%'''((('''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$%%%&&&''''''&&&&&&&&&'''''''''(((((($$$'''(((((((((((('''$$$$$$$$$%%%%%%%%%&&&&&&&&&((('''&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''!!!"""###$$$%%%&&&&&&&&&########################$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%########################"""############$$$$$$$$$""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%%%%$$$$$$###$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$""""""###%%%''''''%%%"""&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$&&&((())))))(((&&&''')))******((('''%%%))))))(((((('''''''''&&&''''''((((((((((((''''''(((((((((((())))))))))))((((((((((((((((((((((((***%%%(((333555+++&&&)))%%%%%%&&&'''''''''''''''))))))))))))))))))))))))&&&'''''''''(((((())))))''')))******))))))***+++************************)))************++++++++++++++++++,,,---...///000...............///000000,,,000///333;;;@@@UUUuuuxxxooonnnooouuuyyyiii^^^TTTJJJFFFGGG@@@CCCFFFHHHMMMXXXhhhttt|||999888777777888888777555555444222222444555555444222222333222111///---,,,---...000///...,,,---------,,,+++)))((((((''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''((($$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$%%%%%%&&&'''&&&'''''''''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''(((%%%$$$%%%'''(((&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&&&&&&&''''''(((&&&$$$$$$%%%&&&&&&%%%%%%$$$%%%&&&((()))%%%&&&((())))))(((&&&%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''&&&%%%%%%&&&(((***(((%%%$$$$$$&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%'''&&&$$$######$$$&&&'''((('''&&&%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&$$$######%%%'''&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&)))***(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########"""###$$$%%%&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$'''&&&%%%%%%$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##################&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&'''''')))'''&&&(((++++++)))'''))))))))))))(((((((((((('''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((&&&'''((())))))***))))))'''''''''''''''((())))))''''''''''''(((((((((((())))))))))))((((((((((((***)))'''&&&&&&'''((()))''''''''''''((((((((()))))))))))))))(((((((((((())))))))))))************))))))***++++++++++++***---------------------------------...............,,,222555444:::LLLbbbppp|||tttlllkkkvvvvvv___QQQMMMLLLDDDBBBFFFHHHIIITTTcccrrrsss{{{:::999888888999999888777666555333444555666666555333222222222000///...------...000///...,,,------,,,,,,***)))((('''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%$$$$$$%%%%%%&&&'''&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&$$$%%%'''(((&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%'''''''''&&&$$$$$$%%%''''''&&&%%%%%%%%%&&&'''(((%%%&&&'''(((((('''&&&%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&''''''&&&%%%'''(((***'''$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''''''''&&&&&&&&&&&&'''&&&%%%$$$%%%&&&''')))((('''&&&&&&%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&%%%&&&&&&%%%######%%%'''&&&&&&&&&&&&&&&&&&&&&&&&###&&&((()))'''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%$$$$$$""" %%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$'''&&&%%%%%%$$$$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##################&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''((('''&&&(((***+++)))'''))))))))))))((((((((((((''''''''''''''''''''''''(((''''''''''''((())))))'''(((((())))))))))))((('''''''''''''''((())))))''''''''''''(((((((((((())))))))))))(((((((((((((((((('''''''''(((((()))'''''''''((((((((()))))))))))))))))))))))))))((())))))))))))************))))))***+++++++++++++++------------------------------............//////111444666:::GGG\\\pppzzzyyyxxxxxxyyymmmbbb___SSSKKKIIIEEECCCMMM\\\hhhiiinnnuuu|||;;;:::999999::::::999777777666555555666777666555333333111000////////////---...000///...,,,------,,,+++***)))((('''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%'''&&&%%%$$$$$$%%%&&&''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%&&&'''&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%&&&&&&&&&&&&%%%%%%$$$&&&''''''&&&$$$$$$%%%'''((('''&&&&&&%%%&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''&&&&&&'''))))))'''$$$$$$%%%&&&&&&%%%'''''''''''''''''''''''''''''''''''''''&&&&&&&&&((('''&&&&&&&&&''')))***(((''''''&&&&&&&&&&&&'''''''''((((((((((((''''''%%%&&&&&&%%%$$$$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&###%%%'''(((&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$'''&&&%%%###!!!%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&%%%$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''(((''''''(((******)))'''(((((((((((())))))))))))''''''''''''''''''''''''((((((((((((((()))******((())))))))))))((((((''''''''''''''''''((())))))&&&''''''''''''((((((((((((((((((((())))))))))))&&&&&&'''((()))))))))(((''''''((((((((())))))))))))))))))))))))))))))))))))))))))*********++++++)))******+++++++++++++++------------------------...............///000000///000333===SSSlll{{{zzzwwwzzzvvvpppcccWWWQQQKKKEEEHHHOOO]]]bbbiiimmmooowww;;;999888888999:::888777777555555555666666555333444333111///...//////000---...000///...,,,,,,---,,,+++***)))''''''''''''&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&&&&'''''''''%%%%%%&&&&&&&&&&&&%%%%%%((('''%%%$$$$$$%%%'''((('''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%&&&&&&'''%%%&&&&&&'''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&'''''''''&&&%%%$$$$$$&&&''''''&&&$$$$$$&&&'''((((((''''''&&&&&&&&&%%%((('''&&&&&&&&&&&&'''(((%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&''''''(((''''''''''''''''''''''''%%%'''((((((''''''((()))(((&&&%%%%%%&&&''''''&&&'''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&''''''&&&&&&'''((())))))(((((('''''''''''''''(((&&&''''''((((((''''''&&&$$$&&&&&&&&&%%%%%%&&&(((&&&&&&&&&&&&&&&&&&&&&&&&###%%%&&&'''%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''((())))))(((((((((((((((((())))))))))))''''''''''''''''''''''''((((((''''''(((((()))***))))))***))))))((('''&&&'''''''''''''''((())))))&&&&&&&&&'''''''''(((((((((((((((((())))))))))))$$$%%%''')))***))))))((('''(((((((((((())))))))))))))))))))))))*********))))))*********+++++++++)))***++++++,,,,,,++++++,,,,,,------------------///............000111222000000555FFFbbb{{{zzzrrr~~~xxxrrrooovvvxxx{{{~~~qqqbbb]]]YYYQQQJJJGGGQQQ[[[jjjtttuuusssxxx:::888777777888888777666555444444555666555333111333222111/////////000000---...000///...,,,,,,---,,,+++***(((''''''&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%&&&&&&''''''&&&&&&%%%'''&&&%%%%%%%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''''''''&&&%%%%%%&&&&&&&&&%%%%%%&&&&&&'''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&%%%&&&&&&%%%%%%&&&&&&&&&'''''''''''''''''''''&&&&&&%%%$$$%%%&&&'''&&&%%%%%%&&&((((((((((((''''''&&&&&&%%%((('''&&&&&&&&&&&&'''(((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&'''((()))''''''''''''''''''''''''&&&''')))(((''''''(((***((('''&&&&&&((((((((('''((((((((((((((((((((((((&&&&&&&&&'''''''''''''''((((((''''''''''''(((((((((((((((''''''(((((()))&&&&&&''''''''''''&&&&&&$$$%%%''''''&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&###%%%&&&&&&%%%$$$$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&'''(((((((((((((((((('''((((((((()))))))))***''''''''''''''''''''''''''''''&&&&&&''''''((()))))))))***))))))((('''&&&'''''''''''''''((())))))&&&&&&&&&&&&'''''''''''''''((((((((()))))))))***$$$%%%''')))***))))))((((((((((((((()))))))))***((()))))))))*********+++************++++++++++++******+++,,,,,,,,,,,,+++,,,,,,,,,---------......//////......///000222333777;;;DDDXXXsss}}}}}}}}}{{{wwwqqqllliiimmmmmmllllllooottt{{{rrrfffddd^^^SSSJJJKKKTTTfffvvv{{{tttllljjj999888666777888888777555555444444555666555222000222222111000000000000000---...000///...,,,------+++***)))((('''&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''((('''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&''''''%%%%%%&&&'''%%%&&&&&&&&&''''''''''''&&&''''''''''''&&&&&&%%%%%%&&&&&&&&&%%%%%%&&&(((''''''((((((((('''&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&'''((())))))'''''''''''''''''''''''''''((())))))(((((()))+++)))((('''(((******)))((())))))))))))))))))))))))(((((((((((())))))))))))+++******))))))((((((''')))(((((((((((())))))***'''''''''(((((('''''''''###%%%'''((('''&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''&&&%%%$$$%%%'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''(((((($$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&(((((('''''''''(((''''''(((((())))))******''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((((((((())))))))))))((((((''''''''''''''''''((())))))%%%&&&&&&&&&&&&'''''''''''''''(((((())))))******&&&&&&'''((()))))))))(((((((((((()))))))))******((())))))******+++++++++*********++++++++++++,,,***++++++,,,,,,,,,,,,,,,+++,,,,,,------.........000///......///111333555:::CCCPPP```ttt}}}}}}rrrtttxxxzzz{{{yyywwwuuunnnlllkkkkkkmmmrrrwwwzzzuuukkkfff___XXXRRRVVVcccuuu{{{rrrkkk:::999777888999999888666666555555666777555222000000111111111111000//////---...000///...,,,------+++***)))((('''&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$%%%'''(((((('''%%%$$$'''&&&&&&%%%%%%&&&&&&'''(((((('''&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''$$$&&&((('''%%%$$$&&&'''&&&&&&&&&&&&''''''''''''%%%&&&''''''''''''''''''$$$&&&&&&&&&%%%%%%''')))&&&'''((())))))(((''''''%%%&&&'''(((((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&'''((()))***''''''''''''''''''''''''''')))******)))(((***+++***))))))***,,,,,,+++***,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,---------///......---+++***(((((())))))(((((())))))***+++))))))************))))))###%%%'''((('''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%&&&(((''''''''''''''''''''''''%%%%%%&&&&&&'''((((((((($$$%%%&&&''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&&&&'''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$&&&(((((('''&&&''')))'''''''''((()))*********'''''''''''''''''''''''''''''''''''''''(((((()))'''(((((())))))))))))((('''''''''''''''((())))))%%%%%%&&&&&&&&&''''''''''''''''''((()))*********(((((('''''''''(((((()))(((((()))))))))*********((())))))******+++,,,,,,*********+++++++++,,,,,,***+++,,,,,,------,,,,,,++++++,,,,,,---......///111000......///222444666777DDDRRR]]]iii{{{yyysssqqqqqqqqqtttyyy~~~yyyxxxxxx{{{zzzoooiiieeeXXXZZZeeexxxzzz;;;:::888999::::::999777777666666777888777333111///000111222222111///...---...000///...,,,------+++***)))(((&&&&&&&&&&&&&&&''''''''''''''''''&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''&&&&&&###%%%'''))))))'''%%%###'''&&&&&&%%%%%%&&&&&&''')))((('''&&&&&&&&&&&&&&&$$$%%%%%%&&&'''''''''&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''$$$&&&((('''%%%$$$%%%(((&&&&&&&&&'''''''''((((((%%%%%%&&&'''((((((((('''$$$%%%&&&&&&%%%%%%''')))%%%&&&''')))))))))((((((%%%&&&((())))))(((&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''')))******((((((((((((((((((((((((''')))******))))))***+++*********+++------,,,+++.................................//////000000000222111111///...,,,***)))))))))((())))))***++++++++++++,,,,,,,,,,,,++++++"""%%%'''(((((('''((()))&&&&&&&&&&&&&&&&&&&&&&&&''''''((('''%%%%%%''')))((((((((((((((((((((((((%%%%%%&&&&&&'''((())))))%%%&&&'''(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''######$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''###&&&)))(((&&&%%%''')))&&&''''''((()))******+++''''''''''''''''''''''''((((((((((((((()))******''''''((())))))***))))))'''''''''''''''((())))))%%%%%%%%%&&&&&&&&&''''''&&&''''''((()))******+++***)))'''&&&&&&'''((()))))))))))))))************((())))))***++++++,,,,,,******+++++++++,,,,,,,,,***+++,,,,,,------,,,,,,++++++,,,,,,---...//////111000......///222555777666EEETTTYYY```sss~~~{{{qqqkkkiiijjjpppsssxxx}}}wwwnnnlllSSSXXXfffzzz<<<:::999999999999888666777777777666555555444444333333222111000///...---------............---------,,,***)))'''&&&&&&%%%((((((((((((((((((((((((((('''%%%%%%%%%&&&(((***'''&&&&&&%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&''''''''''''(((&&&&&&&&&'''''')))*********)))((('''''''''''''''+++***)))(((((((((*********,,,...000111111//////333333222222222333333444333222222222222222222333999666444333333111,,,(((+++++++++++++++,,,------,,,---.........,,,***)))''''''&&&&&&&&&%%%%%%%%%+++(((%%%$$$%%%&&&&&&&&&(((((('''&&&&&&%%%$$$$$$'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&******)))((('''%%%###"""&&&''''''(((((((((((((((''''''((((((((((((''''''(((((((((((((((((((((((((((((((((((())))))))))))''''''&&&&&&&&&&&&''''''&&&""" """''')))'''$$$((((((((((((((('''''''''((()))******)))((()))+++))))))))))))))))))))))))******************************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,---............111---,,,///111000111444777MMM\\\^^^kkksssyyyqqqlllkkkjjjjjjppptttxxxyyy{{{{{{iiinnnUUUZZZdddrrr<<<:::999999999999888666777777777666555555444444333333222111000///...............//////.........---,,,***)))'''&&&&&&&&&((((((((((((((((((((((((((('''&&&%%%%%%&&&((()))'''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((('''''''''((((((((())))))((((((((((((((()))***+++))))))((('''''''''((((((************+++,,,---...///111333555555555444333777777777777777777777777222222111111111111222222:::888777888888777333000///......///000222444555666555444333111000///...)))))))))***************+++)))((((((((((((&&&$$$(((((((((''''''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((('''&&&&&&(((((((((((('''&&&%%%%%%&&&''''''(((((((((((((((''''''((((((((((((''''''(((((((((((((((((((((((((((((((((((())))))))))))(((''''''&&&&&&''''''(((,,,)))'''(((+++,,,)))&&&(((((((((((((((((((((''''''''''''(((((()))))))))******************************************************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---......////////////111......222333222444777AAARRRfffttt~~~zzzppp|||{{{|||uuupppnnnlllkkkkkkffflllvvvsssgggYYYWWWYYYeeezzz<<<:::999999999999888666777777777666555555444444333222222111000///.........//////000000//////...---,,,***)))((('''&&&&&&((((((((((((((((((((((((''''''&&&%%%%%%'''((()))'''&&&&&&&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''(((''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((((((((()))))))))************)))))))))))))))***+++)))(((((((((((()))*********+++---...000111222222222444555777777777666666777888999::::::999888777111111000000000000111111777777888:::======;;;888333222111111222555777999???>>><<<:::888777777777000000//////...---,,,,,,(((((()))***,,,+++(((%%%((((((((((((((('''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((('''''''''&&&''''''(((((((((''''''&&&''''''(((((((((((((((''''''((((((((((((''''''(((((((((((((((((((((((((((((((((((())))))))))))(((''''''&&&&&&''''''((((((&&&$$$%%%((()))'''%%%''''''(((((((((((((((((((((&&&%%%'''+++,,,+++)))******************************************************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,///////////////000000000000///000444555333666;;;IIIWWWoootttpppvvvwwwuuurrrqqqrrrsssrrrqqqpppvvvggg```UUUNNNVVVlll<<<:::999999999999888666777777777666555555444444222222111111000//////...//////000000000000//////---,,,+++)))((('''''''''(((((((((((((((((((((((('''&&&&&&&&&&&&'''((()))'''&&&&&&&&&&&&''''''(((%%%%%%&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((((((''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((((((((((()))))))))*********)))))))))))))))******))))))))))))***+++,,,------...111333444555444444111222333444555555444444444555666777777666444222000000////////////000000111333666:::===>>>>>>===777666444222222333444666>>>>>>???@@@@@@@@@@@@@@@;;;:::777444111...,,,***''''''''')))+++,,,+++)))((((((((((((((((((''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""$$$&&&'''$$$$$$$$$%%%%%%%%%&&&&&&#########$$$$$$$$$%%%%%%((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((((('''''''''((((((((((((''''''&&&''''''(((((((((((((((''''''((((((((((((''''''(((((((((((((((((((((((((((((((((((())))))))))))((((((''''''''''''(((((( !!!%%%''''''&&&''''''''''''((((((((((((+++(((&&&)))...111///+++******************************************************+++++++++,,,,,,,,,++++++,,,,,,,,,,,,------/////////////////////000//////222555444444999AAAPPPddd{{{vvvpppuuuwwwuuuuuuwww{{{~~~uuujjjZZZLLLMMM^^^yyy<<<:::999999999999888666777777777666555555444444222222111111000000////////////000000000000//////---,,,+++)))((((((((((((((((((((((((((((((((((((&&&&&&&&&&&&''''''((((((&&&&&&&&&&&&&&&'''((()))%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((())))))))))))))))))))))))''''''((((((((())))))))))))))))))((())))))***************+++,,,---...///111222444666666666555555111222222222333333333222111222444555444333111///000//////////////////000---111666;;;>>>?????????===;;;888555222111111111555888===AAAEEEFFFGGGFFFCCCBBB???<<<888555222111...,,,))))))***+++******((((((((((((''''''''''''(((''''''&&&&&&''''''(((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""$$$&&&'''$$$$$$$$$%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((())))))(((((())))))))))))((('''&&&%%%&&&''''''(((((((((((((((''''''((((((((((((''''''(((((((((((((((((((((((((((((((((((())))))))))))(((((((((''''''(((((((((""""""###%%%(((***++++++&&&'''''''''(((((())))))+++(((&&&)))...111///+++******************************************************+++++++++,,,,,,,,,+++++++++,,,,,,---------......---------...///000000000222444333555@@@LLL___~~~zzzzzzuuuxxx~~~}}}vvvfffTTTKKKPPPggg<<<:::999999999999888666777777777666555555444444111111111111000000//////...//////000000//////...,,,,,,+++***))))))))))))((((((((((((((((((((((((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&'''((())))))&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&''''''((()))((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((())))))))))))))))))))))))'''''''''((((((((())))))))))))))))))***+++,,,---------------...///111111444444555666666777666666444444444444444444444555333444555555444333111000000000////////////000000---222888===???@@@@@@AAA@@@???<<<:::777444333222000333888>>>BBBFFFGGGHHHGGGFFFEEECCCAAA???======:::666111...,,,,,,+++************)))((('''''''''((((((''''''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((())))))))))))*********)))((('''&&&%%%&&&''''''(((((((((((((((''''''((((((((((((''''''(((((((((((((((((((((((((((((((((((()))))))))))))))((((((''''''(((((()))((((((((((((((()))))))))&&&&&&''''''((()))))))))(((&&&%%%'''+++,,,+++)))++++++++++++++++++++++++******************************+++++++++,,,,,,,,,***++++++,,,,,,------......---,,,,,,---///000111111111333444555<<>>???>>>>>>???<<<<<<<<<<<<;;;999888777222333444777;;;???CCCFFFHHHHHHGGGEEEDDDCCCBBBAAA@@@===:::777666444111///......---,,,***)))((((((((((((''''''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((())))))*********(((((()))))))))(((((('''&&&''''''(((((((((((((((''''''((((((((((((''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))(((((((((((())))))'''((((((''''''&&&&&&'''&&&&&&''''''((())))))***'''''''''(((((()))))))))++++++++++++++++++++++++******************************+++++++++,,,,,,,,,******+++,,,,,,---.........---------...000333444222333555777:::GGGaaayyy|||sssuuuuuu]]]KKKJJJ```{{{<<<:::999999999999888666777777777666555555444444111111111111000000000000------............------,,,,,,+++***)))))))))***((((((((((((((((((((((((%%%&&&''''''((((((''''''&&&&&&&&&'''''')))******&&&&&&''''''''''''&&&&&&(((((((((((((((((((((((($$$%%%&&&'''''''''&&&%%%''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************+++++++++++++++,,,---///111333444222222222111222222333444111111222333555888;;;<<<888888777777666777777888888777555444333333333333111111000000000000111111...333:::======;;;;;;<<<555777999;;;<<<<<<;;;:::777555333222555:::???CCCIIIHHHGGGDDDBBB@@@>>>>>>??????>>>??????===:::777111111///...,,,+++))))))((((((''''''''''''((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&'''''''''((((((%%%%%%%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((()))************&&&'''((()))************&&&''''''(((((((((((((((''''''((((((((((((''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))(((((((((((())))))&&&'''((()))))))))***,,,&&&&&&&&&'''((())))))***((()))******)))((()))+++++++++++++++++++++++++++******************************+++++++++,,,,,,,,,******+++,,,,,,---............---...///222555777444444666999>>>PPPooo{{{sssyyygggQQQHHHUUUjjj999::::::::::::999888888777777777777666555444333333222111000////////////////////////////////////---+++)))'''&&&&&&'''((())))))))))))))))))))))))&&&&&&''''''''''''&&&&&&###$$$%%%&&&''')))******((('''&&&%%%%%%&&&'''(((((((((((((((((((((((((((((((((((((((((('''''''''&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''(((((((((((())))))))))))((((((((((((''''''''''''(((((((((((())))))))))))))))))))))))))))))))))))***+++,,,+++)))((()))***'''((()))***************++++++******))))))(((((())))))***+++++++++++++++,,,---///111111111000000333333222222111111000000333333333555777999<<<>>><<<888444333444666666555666444222111000111222444000////////////000111111333555777999<<<>>>??????999777555666999::::::888555555555333222555;;;AAAGGGHHHHHHDDD>>>999888999======>>>??????@@@@@@@@@;;;888444000---,,,---...)))(((((((((***)))'''%%%%%%&&&'''(((((((((&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########&&&&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''&&&%%%%%%&&&((((((&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''''''''(((((())))))******(((((((((((())))))))))))'''((()))++++++)))((('''(((((((((((((((((((((((((((((())))))))))))((((((((((((''''''&&&&&&&&&%%%(((((((((((())))))))))))+++***((('''((()))+++,,,))))))(((((((((((())))))((((((((((((((()))******((()))***,,,,,,+++******,,,,,,,,,++++++***************+++++++++,,,,,,,,,,,,,,,,,,---------......---...///000000111333555;;;666:::@@@JJJggg~~~zzzhhhmmm}}}fffKKKLLL^^^999::::::::::::999888888777777777777666555444333333222111000////////////////////////////////////---,,,***((('''''''''((())))))))))))))))))))))))&&&''''''((((((''''''&&&%%%&&&&&&''''''(((((((((((('''&&&&&&&&&&&&'''(((((((((((((((((((((((((((((((((((((((((((((((('''&&&''''''((((((''''''&&&''''''''''''''''''''''''(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((()))))))))***))))))))))))))))))))))))+++,,,---,,,*********+++******************++++++++++++*********))))))))))))***++++++,,,,,,++++++---...///000111111111000000000000000000000000000333444555666777777777777666333000000222555666666111111000//////000111111000000////////////000000///000222444555777888888666444333555888;;;;;;:::::::::888666444555888:::AAACCCEEEDDDAAA===:::999888888888888999;;;<<<===???===;;;888555222...++++++***(((((()))******)))&&&&&&'''((((((((('''&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$######&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&&&&'''&&&$$$######%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''''''''(((((())))))************))))))((((((''''''&&&''')))******)))'''&&&(((((((((((((((((((((((((((((())))))))))))((((((((((((((((((''''''&&&&&&(((((((((((())))))))))))***)))((('''''')))***,,,))))))(((((((((((())))))((((((((((((((()))******))))))***++++++++++++***,,,,,,,,,+++++++++*********++++++++++++,,,,,,,,,,,,,,,---------............///000000000000333555777555<<>><<<;;;;;;:::888666<<<===@@@CCCDDDBBB>>>;;;666444333333444666999;;;AAA@@@@@@AAAAAA===666000000---***((()))+++,,,,,,''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&(((&&&######$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&'''''''''''''''(((((())))))******++++++***)))((('''&&&&&&&&&'''((())))))((('''&&&(((((((((((((((((((((((('''(((((())))))(((((('''))))))))))))(((((((((((((((((((((((()))))))))))))))((('''&&&'''((()))***))))))(((((((((((()))))))))(((((((((((()))***************)))******+++,,,,,,,,,,,,++++++++++++***++++++++++++,,,,,,,,,,,,,,,------------.........///000111000000111333666666777>>>RRRmmmwww}}}{{{rrrsssrrriii\\\JJJ999::::::::::::999888888777777777777666555444333222222111000//////000000////////////////////////---------,,,+++***)))(((((((((((((((((((((((((((''''''((((((((((((''''''''''''''''''''''''''''''((((((''''''''''''((((((((((((((((((((((((((((((''''''''''''((((((((((((''''''((((((((((((''''''''''''''''''''''''''''''(((((((((((())))))))))))***************+++++++++(((((()))))))))*********))))))))))))))))))))))))+++,,,---,,,+++***+++,,,000///---+++***+++,,,---++++++++++++,,,,,,,,,,,,,,,---......//////.........//////000111111222222222222222111111111111111...///000111111111000000555333111//////000000000111222555777999999888888888777555444333222222222000000000000000000111111///......///111444666888>>>===<<<>>>AAA@@@===999<<<<<<===AAAEEEEEEBBB>>>888666333222333666:::<<<>>>>>>@@@DDDHHHHHHBBB===777333...******+++,,,,,,))))))))))))((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%%%%%%%%%%%%%%%%,,,)))&&&$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''(((((())))))************))))))((((((''''''&&&'''(((((((((((('''&&&(((((((((((((((((((((((('''(((((((((((((((((('''******))))))))))))))))))(((((((((((())))))))))))(((''''''&&&'''((())))))))))))(((((((((((())))))))))))(((((())))))***++++++***)))))))))***,,,---+++++++++++++++++++++++++++++++++,,,,,,,,,------------------...............///000000000222666999===@@@CCCWWWyyy{{{uuu||||||vvvyyyfffPPP999::::::::::::999888888777777777777666555444333222111000000000000000000////////////////////////------------,,,***)))((((((((((((((((((((((((((('''(((((((((((((((((('''&&&&&&''''''((()))))))))(((((((((((((((((((((((())))))))))))))))))))))))&&&'''''''''(((((())))))'''(((((((((((((((((('''(((((((((((((((((((((((((((((((((((()))))))))))))))*********+++++++++,,,))))))))))))************************************)))+++,,,+++***)))***,,,111///---++++++,,,---...++++++,,,,,,------............///000000000000000/////////000111111222333333333222222111000//////000000000000333666:::<<<777666555444333222333444555777:::===?????????>>>>>>===<<<:::999888888777555444333222222222222333000///...---...///222444666555777;;;AAACCCBBB???AAA???>>>???CCCEEEDDDBBB<<<:::666333333666999<<<>>>======AAAFFFJJJIIIHHH???;;;444000...---,,,,,,******))))))((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%,,,***&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''((((((''''''(((((())))))******''''''(((((())))))******'''(((((((((((((((((('''((((((((((((((((((((((((''''''((((((((((((''''''))))))******************(((((((((((())))))))))))'''''''''''''''(((((()))))))))(((((((((((()))))))))))))))))))))***+++++++++***)))))))))***,,,---++++++++++++++++++++++++++++++,,,,,,,,,------------------.........//////---...///000111444999===GGGNNNNNN^^^~~~}}}xxxtttuuuyyyzzzgggVVV999::::::::::::999888888777777777777666555444333111111000000000000000111////////////////////////...------,,,+++***))))))))))))))))))))))))))))))'''(((((())))))(((((('''&&&&&&'''((())))))******'''(((((())))))(((((('''))))))))))))))))))))))))&&&&&&''''''((()))))))))'''(((((())))))(((((('''(((((((((((((((((((((((((((((((((((()))))))))))))))))))))***++++++,,,,,,)))))))))*********++++++************************(((***++++++***)))***,,,///...---,,,,,,------...+++,,,,,,---...//////000000000111222222222222111000000000000000222333333333222222111000000/////////...---...111777<<>>AAACCCCCCCCCBBBDDDCCCBBB@@@???>>>>>>>>>:::999777555555555666666555444333000...///222555222222444777<<<@@@AAABBBEEECCCBBBBBBDDDFFFGGGGGGAAA>>>:::666444555777999>>>===<<<<<<>>>BBBFFFIIIEEEAAA<<<888666333000...,,,+++***)))((((((((()))((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&((((((''''''''''''((((((%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%)))'''$$$$$$$$$%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&'''''''''(((((((((''''''(((((())))))******&&&&&&'''((()))***++++++)))))))))(((((()))))))))((((((((((((((((((((((((&&&''''''((((((''''''&&&))))))))))))************(((((((((((())))))))))))''''''((((((((()))))))))))))))(((((((((((())))))***))))))))))))***++++++*********)))******+++,,,***++++++++++++,,,,,,,,,,,,,,,,,,,,,------------------........./////////---...///000111555:::>>>PPP___```kkkvvvzzzyyygggcccjjjjjjqqqvvv}}}lllYYY999::::::::::::999888888777777777777666555444333111111000000000000111111////////////////////////...---,,,***))))))))))))))))))))))))))))))))))))(((((())))))))))))(((((((((((((((((((((((())))))'''((()))******)))((('''))))))))))))))))))))))))&&&&&&''''''((())))))***(((((())))))))))))(((((((((((((((((((((((((((((((((((((((((())))))))))))(((((())))))***++++++,,,))))))*********+++++++++************************)))***,,,+++******,,,---------------------......+++,,,---...///000111111111111222333333333333333111000000000000222333444333333333444444555555555222111111222444777:::<<<:::<<<>>>===<<<<<<>>>@@@>>>@@@BBBDDDFFFFFFGGGFFFGGGGGGEEEDDDCCCCCCCCCCCC???>>><<<:::::::::;;;<<<;;;;;;999666444444888;;;::::::999999999;;;???BBBDDDEEEGGGGGGGGGHHHIIIKKKGGGDDD???:::777666666777:::;;;;;;888666999@@@GGGGGGFFFDDDBBB@@@<<<777333---,,,+++)))(((((())))))((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((((((''''''&&&&&&&&&'''&&&%%%%%%&&&'''&&&$$$''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''''''''''''''((((((((((((''''''(((((())))))******''''''(((((())))))************))))))))))))******((((((((((((((((((((((((&&&''''''((((((''''''&&&((((((((()))))))))******(((((((((((())))))))))))(((((())))))******))))))))))))(((((((((((())))))******))))))******+++,,,))))))***++++++++++++*********+++++++++,,,,,,,,,,,,,,,,,,------------...............////////////111111111000111444999===WWWqqquuu|||fffbbbmmmmmmxxxzzzzzz~~~hhh999::::::::::::999888888777777777777666555444333111000000000000000111111///////////////////////////---+++)))'''((()))***))))))))))))))))))))))))(((((())))))))))))((((((*********)))(((''''''''''''((()))******)))((('''))))))))))))))))))))))))&&&&&&&&&'''((())))))***(((((())))))))))))(((((())))))))))))))))))))))))(((((((((((())))))))))))'''(((((()))******++++++)))************+++++++++***************************+++---,,,,,,,,,---...++++++,,,---.........---+++,,,---...///000111222111222333333444444333333111000000000000222333444444555666888999;;;<<<===;;;;;;<<<<<<======>>>>>>???AAABBB@@@===<<<===???CCCDDDFFFGGGIIIJJJJJJKKKIIIHHHGGGFFFEEEEEEEEEEEEDDDCCCAAA?????????AAAAAA??????>>>;;;999999>>>BBBEEEDDDBBB===999999>>>BBBAAAFFFJJJLLLJJJIIIKKKMMMLLLIIIDDD???:::888777777444777999666222444===EEEHHHHHHHHHHHHGGGCCC===888...---+++)))((())))))***))))))))))))))))))))))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''))))))(((((((((''''''''''''''''''((()))***(((&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((((((((('''''''''&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''''''''''''''((((((((()))''''''(((((()))*********))))))))))))((((((((((((++++++************++++++((((((((((((((((((((((((&&&''''''''''''''''''&&&''''''(((((()))))))))***(((((((((((())))))))))))(((((()))***************))))))(((((((((((())))))*********)))******+++,,,((()))***,,,,,,+++***************++++++,,,,,,,,,,,,,,,,,,---------................../////////000444333222111000333777;;;[[[|||~~~~~~fffaaaooo{{{zzz~~~~~~||||||{{{999999:::;;;;;;;;;::::::999888777555444444444444444333111//////000111222////////////............000...,,,***))))))***++++++)))(((((())))))(((&&&((((((((((((((('''&&&&&&))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((('''&&&&&&((((((((((((((('''''''''&&&(((******)))((()))******************)))((('''))))))))))))))))))))))))******++++++++++++***************)))******+++,,,++++++++++++++++++++++++------------------------...------,,,,,,,,,------111111000000111222333333777444444666444...///444444333111//////000222333666666777;;;AAADDDDDDCCC@@@AAAAAA@@@>>>@@@FFFKKKDDDLLLOOOIIIBBBBBBEEEGGGLLLKKKQQQ]]]cccaaa```bbb]]]VVVMMMHHHHHHIIIIIIHHHFFFHHHIIIHHHFFFDDDBBB???BBBCCCDDDEEEEEEDDDDDDCCCKKKHHHEEEFFFHHHIIIHHHFFFIIIIIIJJJLLLLLLMMMMMMMMMNNNNNNLLLIIIDDD???:::777555555444444444666888:::???GGGMMMNNNMMMLLLIIIDDD:::777333...,,,,,,---...((((((((()))++++++)))'''(((((())))))))))))(((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###%%%''''''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%(((***((($$$!!!###'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''333...(((&&&&&&(((''''''''''''''''''((((((((()))(((((((((((((((((((((((('''''''''&&&&&&%%%%%%%%%((((((((('''((()))******''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((())))))((((((((((((((()))******))))))(((((((((((())))))))))))))))))))))))))))))((((((((((((((((((((((((&&&''''''((((((((((((((())))))))))))))))))))))))((()))*********((('''&&&&&&''''''((()))******+++(((((((((((())))))))))))))))))************))))))++++++******************++++++,,,,,,,,,,,,------++++++,,,,,,,,,------------------.........//////222//////222333333777===aaabbbmmm|||~~~~~~;;;;;;;;;;;;:::999999888999888777555444444444444444333111//////000111222////////////............000...,,,***)))))))))******)))(((((())))))((('''((())))))))))))((('''&&&))))))))))))))))))))))))((((((((((((((((((((((((***************)))((((((((((((((((((((((((((((((&&&(((******)))((()))***+++++++++++++++***))))))))))))))))))))))))))))))*********+++******))))))***************++++++,,,++++++++++++++++++++++++------------------------......---------......///111111111111222333444555555222333777666222111555111222555888:::;;;;;;<<<999888888;;;@@@CCCDDDCCCGGGIIIJJJKKKOOOWWWbbbkkkpppqqqmmmaaaVVVQQQPPPNNNZZZ^^^kkkzzzzzzqqqnnnllleee^^^\\\]]][[[UUUNNNJJJJJJIIIGGGEEEFFFGGGHHHDDDCCCDDDEEEFFFGGGGGGFFFLLLJJJIIIJJJLLLNNNMMMKKKKKKKKKLLLMMMNNNOOOOOONNNNNNNNNLLLJJJFFFAAA===:::666555444555666666666555;;;CCCJJJLLLLLLMMMKKKGGG>>><<<777222...+++*********))))))***+++***(((&&&(((((())))))))))))(((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###%%%''''''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%(((***((($$$"""$$$'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&'''''''''///+++'''%%%&&&'''&&&%%%&&&&&&&&&''''''''''''((((((((((((((((((((((((((('''''''''&&&&&&%%%%%%%%%(((((((((((())))))))))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''(((((((((((((((((((((((()))******))))))(((((((((((())))))))))))))))))))))))))))))((((((((((((((((((((((((&&&''''''((((((((((((((())))))))))))))))))))))))((()))******)))((('''&&&''''''(((((())))))******(((((((((((()))))))))***))))))************))))))++++++******************++++++,,,,,,,,,,,,------++++++,,,,,,,,,------------------.........//////000...///333555777===DDDhhh{{{mmm{{{|||<<<<<<<<<;;;:::999888777999888777555444444444444333222111000///000111111////////////............000///---***)))(((((())))))((('''((()))***)))((())))))******))))))(((((())))))))))))))))))))))))((((((((((((((((((((((((+++++++++,,,++++++***)))((((((((((((((((((((((((&&&(((******)))((()))************+++******)))((())))))))))))))))))))))))***************)))((('''***************+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------///.........///000111111111111111222222444555555333000000444666444333444444555777999:::::::::999:::<<>>888333---***(((,,,+++************)))'''(((((())))))))))))(((((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###%%%''''''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&(((***(((%%%###$$$'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''***(((&&&%%%&&&&&&%%%$$$%%%%%%&&&&&&&&&'''''''''(((((((((((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&''')))*********)))(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((((()))******))))))(((((((((((())))))))))))))))))))))))))))))((((((((((((((((((((((((&&&''''''((((((((((((((())))))))))))))))))))))))((())))))))))))(((((('''(((((((((((())))))))))))((((((((()))))))))******))))))************))))))******++++++++++++++++++++++++,,,,,,,,,,,,------,,,,,,,,,,,,------------------.........////////////...///222444666???IIIjjjsss}}}zzzxxxzzz}}};;;;;;;;;;;;::::::999888999888777555444444444444222222111000///000000111////////////............000///---+++)))((((((((((((''''''((()))******)))))))))************))))))((((((((((((((((((((((((((((((((((((((((((((((((+++++++++,,,,,,+++******((((((((((((((()))))))))'''(((******)))))))))***(((((())))))))))))(((((())))))))))))))))))))))))************)))(((''''''+++************+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------............/////////000111222333444222222222222222222333333555222111222555777777777:::<<>>:::666666999;;;:::888:::BBBHHHKKKLLLPPPPPPMMMJJJHHHFFFAAA;;;444///+++,,,+++)))(((*********)))(((((())))))))))))((((((((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###%%%''''''&&&%%%&&&'''&&&&&&&&&&&&''''''''''''&&&((()))(((%%%$$$%%%'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&%%%&&&&&&&&&'''''''''(((((((((((((((((((((((((((((('''''''''''''''&&&&&&&&&%%%''')))***+++***((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((''''''''''''((((((((((((((())))))***))))))(((((((((((())))))))))))))))))))))))))))))((((((((((((((((((((((((&&&''''''(((((((((((((((((((((((((((((((((((((((((())))))))))))((((((((())))))))))))(((((((((((((((((()))))))))*********)))******++++++******)))******+++++++++++++++,,,+++++++++,,,,,,,,,------,,,,,,,,,------------...............////////////000///000111111555AAANNNppp~~~|||vvvtttvvvzzz|||888999::::::;;;;;;;;;;;;999888777555444444444444111111111000000000000000////////////............///...---+++***)))(((((((((''''''((()))******)))))))))************))))))(((((((((((((((((((((((((((((((((((((((((((((((())))))***************)))(((((((((((())))))******''')))++++++***)))***+++)))******++++++*********))))))))))))))))))))))))***************)))((((((+++++++++***+++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,---------....../////////000000000111222333444555333333222111111111111222666666444444666:::======CCCKKKYYYfffooorrrqqqooolllooovvv~~~zzzttteeeXXXQQQNNNMMMLLLOOOOOOOOOOOONNNOOOPPPRRRMMMNNNOOOOOOOOOOOOOOOOOOOOOOOOOOONNNNNNMMMLLLLLLFFF@@@999777999>>>AAABBBAAAHHHLLLMMMNNNPPPQQQOOOMMMMMMLLLIIIDDD>>>999555...+++)))((()))***++++++(((((())))))))))))((((((((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###%%%''''''&&&%%%&&&'''&&&&&&&&&''''''((((((((('''(((((('''&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%&&&((((((((((((((('''(((((((((((())))))))))))((((((((((((((((((((((((''''''''''''''''''''''''%%%''')))***+++***((('''((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((''''''((((((((((((((())))))***))))))(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))&&&''''''((((((((((((((((((((((((((((((((((((((()))(((((((((((()))))))))))))))))))))(((((((((((())))))))))))******************++++++++++++************++++++,,,,,,,,,,,,+++++++++,,,,,,,,,------,,,,,,---------................../////////000000000///000111222:::MMM___~~~~~~{{{vvvsssrrrvvv|||777888999:::;;;<<<<<<<<<999888777555444444444444111111000000000/////////////////////...............------,,,+++***)))))))))((('''((()))***)))((((((((())))))******))))))))))))))))))))))))))))))(((((((((((((((((((((((('''((())))))***)))))))))'''(((((())))))******+++''')))++++++***)))***++++++,,,------...---------))))))))))))))))))))))))******++++++++++++******+++++++++++++++,,,------,,,,,,,,,,,,,,,,,,,,,,,,---------...//////000000111111111111222333444444222222222222222333444444444999<<<<<<>>>CCCGGGHHHXXXfff|||ssshhhbbb```]]][[[XXXSSSOOOMMMOOOQQQMMMNNNNNNOOOOOONNNNNNNNNPPPPPPPPPOOOOOOOOOOOOOOOLLLGGG@@@:::999>>>EEEJJJHHHMMMPPPOOOOOOQQQQQQOOOPPPPPPPPPOOOLLLGGGCCC@@@444000,,,******+++++++++(((((())))))))))))(((((('''(((((((((((()))))))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###%%%''''''&&&%%%&&&'''&&&&&&&&&'''(((((())))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&'''''''''(((((((((%%%''')))))))))((()))***(((((()))))))))*********(((((((((((((((((((((((('''''''''''''''(((((((((&&&''')))*********)))(((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((((((((((((((((()))******))))))(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))&&&''''''((((((((((((((()))))))))))))))))))))))))))(((((((((((())))))***(((((((((((()))))))))))))))))))))*********++++++******++++++++++++************++++++,,,---------++++++,,,,,,,,,,,,------,,,---------................../////////000000000...///111333777EEEaaayyy}}}ttttttrrrqqqsssyyy888999999:::;;;;;;;;;;;;999888777555444444444444000000000000000//////...////////////............,,,,,,,,,,,,++++++*********)))(((((())))))((('''&&&'''((())))))))))))((())))))))))))))))))))))))(((((((((((((((((((((((('''(((((()))******))))))'''(((((()))******++++++((()))++++++*********+++++++++,,,---------------)))))))))))))))))))))))))))***+++,,,,,,---,,,,,,,,,++++++++++++,,,---------------------------------------...///000000000333222222111222222333333000000111333555777999;;;===JJJUUUXXXYYY^^^bbbbbbooo{{{|||~~~tttfffZZZRRRPPPPPPNNNNNNOOOOOOOOONNNNNNMMMQQQPPPPPPPPPPPPPPPQQQQQQOOOMMMGGG???:::<<>>===;;;:::999999::::::888888888555333222444666222111111000000000000000////////////////////////------,,,+++***)))(((''')))))))))))))))))))))))))))))))))))))))))))))))))))******)))(((''''''((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************%%%&&&((()))*********)))))))))))))))))))))))))))***++++++***))))))***,,,+++,,,,,,------,,,,,,+++******+++++++++,,,,,,,,,,,,---......,,,+++,,,...///---,,,,,,...111333444777222---...111222333333666777;;;===<<>>>>>FFFLLLSSSSSSNNNKKKLLLPPPQQQQQQPPPPPPPPPPPPQQQQQQHHHEEEAAA;;;555000---+++)))(((((()))***+++)))''')))((('''&&&&&&'''((()))***))))))((('''&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%''')))***)))&&&&&&&&&'''''''''((((((&&&'''''''''(((((())))))***)))&&&%%%$$$%%%&&&'''(((((((((((((((((((((((())))))))))))))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&(((((()))***************))))))))))))))))))))))))***))))))))))))+++,,,...((((((((((((((('''''''''(((((((((((((((((((((((())))))************))))))***)))((('''&&&&&&'''((())))))))))))************))))))(((((((((((())))))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))((()))***)))((((((***,,,+++++++++*********)))))))))+++++++++***)))***+++******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......////////////000000000000222222222555CCC]]]yyy|||wwwrrrnnnnnnqqquuu{{{>>>===;;;:::999999::::::999999888666333222333555222111111000000000000000////////////////////////------,,,+++***)))(((((()))))))))))))))))))))))))))))))))))))))))))))))))))******)))((('''''')))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************&&&'''((()))*********))))))))))))))))))))))))))))))+++,,,+++***)))***++++++,,,,,,------,,,,,,++++++,,,,,,,,,------------,,,.........,,,,,,---...000/////////111333444444111222444555444444666888888<<>>BBBIIIOOORRRRRRPPPNNNRRRRRRQQQQQQQQQQQQRRRRRRQQQRRRRRRPPPJJJBBB999444111...+++)))*********)))******))))))))))))******)))))))))(((''''''&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))'''''''''&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&+++)))((('''((('''&&&$$$&&&&&&'''''''''(((((((((''''''''''''((((((((((((+++***((('''''''''((()))(((((((((((((((((((((((())))))))))))))))))))))))+++*********))))))(((((((((((()))***************))))))))))))))))))))))))'''''''''((()))+++,,,---((((((((())))))*********))))))))))))))))))))))))++++++,,,,,,,,,,,,++++++***)))(((((('''((((((((()))))))))*********++++++***))))))(((((())))))***(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))((()))***)))((((((***,,,+++++++++******************+++,,,+++***)))***,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------...................../////////000333333444999HHHbbbyyyrrrrrrnnnfffkkkkkkooowww<<<;;;;;;::::::999999999::::::999666333111222444222111111000000000000000////////////////////////,,,,,,++++++***))))))((())))))))))))))))))))))))((((((((((((((((((((((((((()))***)))((('''((()))(((((((((((((((((((((((())))))))))))))))))))))))((()))))))))************(((((())))))************))))))))))))))))))))))))(((***---...,,,+++******,,,,,,------------,,,,,,,,,------------.........---...//////...---///000,,,...111444444555555666444666666444999III\\\hhhmmm```WWWPPPMMMPPPSSSQQQOOOOOOSSSUUUVVVUUURRRNNNJJJGGGBBBBBBEEEKKKQQQSSSQQQOOOSSSRRRRRRQQQQQQRRRRRRSSSPPPQQQSSSRRRNNNGGG???;;;666222---***))))))))))))))))))))))))))))))))))))))))))((((((''''''''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''((((((((((((((((((((((((''''''&&&''''''((())))))''''''''''''''''''''''''+++)))(((((()))((('''%%%''''''''''''(((((((((((('''''''''(((((((((((((((******)))(((((())))))***((((((((((((((((((((((((((((((((((((((((((((((((******))))))((('''''''''(((((()))***************)))))))))))))))))))))))))))(((((()))))))))******&&&''''''((()))***++++++))))))))))))))))))))))))***++++++++++++++++++******)))))))))))))))))))))))))))*********+++++++++***))))))))))))))))))***(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))((()))***)))((((((***,,,***************************+++,,,,,,******+++,,,+++++++++,,,,,,,,,------------------------------------------............------......//////000000222333666<<>>WWWvvvqqqgggiiikkkkkkpppxxx~~~yyytttvvvyyy{{{}}}zzz{{{|||}}}~~~}}}wwwtttsssoooiiiccc```aaaccceeekkkpppxxx~~~::::::::::::999999999999999777666444333333333333222111000//////000111222000000///............///------,,,+++***))))))(((((())))))************))))))************+++++++++*********))))))***************+++++++++***))))))+++,,,,,,,,,,,,+++*********************)))))))))******++++++++++++++++++************+++++++++,,,,,,,,,,,,,,,------------,,,,,,---...//////////////////000111111222222222///111444555555666;;;@@@EEEQQQgggooo]]]UUUVVVTTTUUUWWWWWWUUUUUUUUUVVVXXXXXXXXXWWWVVVUUUTTTSSSQQQSSSUUUUUUSSSRRRRRRRRRRRRNNNIIIEEECCC@@@===;;;666222---***)))))))))(((++++++************))))))((((((((((((((())))))***''''''((((((((())))))))),,,+++)))(((''''''((()))))))))))))))))))))))))))))))))))))))))))))))))))''''''((((((((()))))))))((())))))******))))))((('''''''''((())))))************************************************************)))))))))***++++++******++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,.........///000111222333444555777999;;;===>>>>>>===>>>>>>===<<<999666444444444333333333333444555111///---+++******++++++......//////......---,,,...---,,,***))))))******************************,,,+++++++++************((()))******++++++******,,,+++******)))************))))))))))))***++++++******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---............---......//////////////////////////////000000000000///000111222222333666999JJJcccuuukkkfffhhhjjjllluuu}}}}}}~~~qqqbbb\\\[[[YYYXXXXXXYYYYYYYYYZZZ[[[^^^```aaa``````aaa```^^^\\\XXXVVVUUUSSSQQQOOOMMMLLLKKKKKKNNNSSSZZZ___aaabbbbbbbbb;;;;;;:::::::::999999999999777666444333333333333111111000000000000111111000/////////............------,,,++++++***))))))((()))************))))))))))))*********+++++++++,,,+++))))))))))))+++,,,+++++++++,,,,,,++++++***'''''')))***+++,,,,,,,,,+++++++++******)))))))))******+++++++++++++++,,,*********+++++++++,,,,,,,,,,,,,,,------------...,,,---...//////000000000111111111111111222222333444444666777777;;;HHHUUUnnnuuuppp^^^XXXUUUWWWXXXYYYXXXVVVVVVVVVWWWXXXYYYYYYYYYWWWVVVUUUQQQSSSTTTTTTSSSRRRQQQQQQRRROOOJJJGGGEEEDDDCCCBBB<<<777111,,,+++******)))************************)))))))))((()))******+++'''(((((((((((())))))))),,,+++***)))(((((((((((())))))))))))))))))))))))(((((((((((((((((((((((('''(((((((((((())))))))))))))))))******)))))))))'''(((((())))))******+++************************************************+++******))))))))))))************+++++++++++++++,,,------...//////000000000000000111222333444444666888:::===@@@CCCDDDEEEEEEFFFGGGHHHFFFCCC???===888777666444444444444555222111...,,,+++,,,...///...///111222222222222222...---,,,*********++++++++++++++++++++++++++++++,,,,,,+++++++++*********))))))***++++++++++++***++++++***************+++******))))))******+++,,,******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------...........................////////////////////////000000000000///000222444333444:::AAAeee}}}xxxxxxpppmmmhhhfffhhhjjjnnnzzzmmmhhhcccdddeee^^^^^^TTTJJJHHHHHHFFFEEEFFFFFFEEEDDDDDDEEEHHHJJJLLLHHHHHHHHHHHHGGGFFFEEEEEEFFFEEEEEEDDDCCCBBBBBBBBBAAAEEEJJJNNNPPPOOONNNLLL;;;;;;;;;:::::::::999999999777666444333333333333111000000000000000000111///////////////......---------,,,,,,+++*********))))))*********))))))((())))))*********+++++++++,,,+++***))))))***+++,,,***+++,,,,,,,,,,,,++++++'''((()))+++,,,,,,,,,,,,,,,,,,++++++******))))))******++++++,,,,,,,,,,,,***++++++++++++,,,,,,,,,,,,,,,---------.........,,,---...///000000000000222222111000000111111222333333777<<>><<<:::999888888777555222///------///000---...111333555666666666......,,,+++++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++***))))))***++++++++++++++++++***************++++++***************++++++,,,******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------......//////---.........//////000000////////////000000000000111111333555222222;;;FFFwwwvvviiieeehhhggggggiiikkkrrrlll]]]VVVNNNNNNMMMDDDGGGAAA===???@@@???@@@BBBBBB@@@???>>>>>>???AAABBB??????>>>>>>??????@@@AAACCCBBB@@@??????@@@AAABBB@@@AAADDDGGGHHHHHHFFFDDD;;;;;;;;;;;;::::::::::::999777666444333333333333000000000000000000000000/////////000///......---------,,,,,,++++++++++++)))************))))))((()))************+++++++++++++++************++++++******+++,,,,,,,,,++++++---............---,,,,,,+++++++++++++++***************++++++,,,---------++++++++++++,,,,,,,,,,,,,,,---------............------...///000000000000333222111000000111333444222555@@@QQQ___nnnggg___UUURRRTTTXXXXXXWWWWWWXXXXXXYYYYYYYYYXXXXXXVVVUUUTTTTTTTTTSSSPPPMMMMMMJJJHHHGGGGGGGGGGGGFFFCCC???888333000...,,,+++((((((((())))))))))))***)))))))))))))))******+++((((((((()))))))))******+++++++++******))))))(((************************))))))))))))))))))))))))((((((((()))))))))******)))******++++++******))))))))))))***++++++,,,,,,++++++++++++++++++++++++************************,,,,,,+++))))))((()))))),,,,,,------......//////111111222222333444555555222222222222222333444444777888:::<<<>>>@@@AAAAAABBBCCCEEEGGGHHHHHHGGGFFFFFFEEEEEECCCAAA???===<<<<<<:::777333111/////////...000333666999999999999222111000...------......------------------------,,,,,,,,,,,,++++++++++++)))***++++++,,,+++++++++*********)))******+++,,,+++************+++,,,,,,******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,------...///------......///000000000////////////000000000000444333444666222222???PPPpppfffiiifffggghhhjjjoooxxx}}}rrrjjjfffddd```RRRLLLHHHAAABBBCCC;;;???<<<<<>>???BBBAAA@@@???>>>>>>>>>??????>>>>>>>>>>>>???@@@BBBCCCCCCAAA???>>>>>>@@@CCCDDDCCCBBBBBBDDDEEEEEEDDDBBB<<<;;;;;;;;;;;;:::::::::999777666444333333333333//////000000000000//////...///000000000///---------,,,,,,,,,,,,+++++++++***************)))(((((()))************+++++++++***++++++,,,,,,++++++***))))))***+++++++++++++++...............------,,,***++++++++++++++++++,,,******++++++,,,------...+++++++++,,,,,,,,,------------------............---...///000000111111000111111000111222555777999:::CCCYYYvvvzzzbbbTTTTTTXXXYYYXXXWWWWWWWWWWWWXXXXXXYYYZZZYYYWWWUUUUUUUUUSSSOOOLLLJJJIIIGGGGGGHHHHHHGGGEEEDDD@@@;;;666333000---+++)))))))))*********++++++)))(((((((((((()))******(((((()))))))))******************++++++******)))************************))))))))))))))))))))))))(((((()))))))))*********)))******++++++******)))))))))******+++,,,,,,---++++++++++++++++++++++++************************++++++++++++,,,,,,---...///000000111222222333333666666666555444444333333222111111111111222333333444555666777777888888777777888:::<<<===>>>>>>>>>???@@@AAABBBAAA>>>;;;::::::999888777555555555555666888;;;>>>@@@@@@???>>>:::888666333000///......------------------------------,,,,,,,,,+++++++++)))***++++++,,,,,,++++++******))))))***++++++,,,++++++******++++++,,,---******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,......------......///000000111////////////000000000000333222555999999<<>>AAA???<<<===BBB????????????@@@@@@@@@@@@@@@@@@AAABBBCCCDDDEEEFFFEEEDDDCCCCCCCCCDDDFFFGGGIIIGGGDDDDDDFFFGGGGGGEEE<<<<<<;;;;;;;;;:::::::::999888666444333333333333//////000000000000//////...///000000000///---,,,---,,,,,,,,,,,,,,,,,,+++***************)))(((((()))************+++++++++***+++,,,------,,,+++***((()))***+++++++++++++++))))))+++,,,---.........*********++++++,,,,,,---******+++,,,,,,---......++++++,,,,,,,,,------------------.........//////---...///000111111111111000000000111444888<<<>>>GGGSSSqqqqqqZZZUUUXXXYYYWWWXXXWWWVVVVVVVVVXXXZZZ[[[[[[YYYVVVVVVVVVSSSOOOKKKIIIHHHGGGHHHIIIIIIGGGEEEDDDAAA<<<888555222...,,,*********++++++,,,,,,,,,((((((((((((((())))))***))))))))))))************)))******+++++++++******************************))))))))))))))))))))))))))))))))))))******************++++++++++++******)))******++++++,,,------++++++++++++++++++++++++***************************++++++,,,...000222333222222333444555555666666;;;:::999777555222111000111111000000000111222222111222222222222111111000///000111222333555666666333555888::::::888555333444555666888999;;;<<<<<<@@@BBBDDDFFFGGGFFFDDDCCC@@@>>>:::666333000///...........................---------,,,,,,,,,++++++******+++,,,,,,,,,,,,+++******))))))***+++,,,,,,++++++******++++++,,,---******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***+++,,,---...---------...///000000111////////////000000000000000000555>>>AAAIIIbbb}}}uuuhhhaaahhhdddeeefffkkkvvv~~~tttiii]]]TTTJJJDDDBBBAAA@@@AAA===<<>>???>>>???AAA???<<<===BBB===>>>???AAAAAABBBBBBAAACCCCCCDDDEEEFFFGGGHHHHHHHHHHHHIIIJJJJJJJJJJJJJJJOOOLLLHHHGGGJJJLLLLLLKKK===<<<;;;:::999::::::;;;:::999666444333222222222333666444---+++111222///000000000000000///......000///---,,,++++++,,,---+++++++++*********))))))(((((())))))******++++++%%%''')))+++,,,+++***)))***************************+++,,,,,,------,,,,,,,,,,,,,,,---------......)))))))))******++++++,,,+++---......---,,,,,,---............/////////000111///......////////////000000444888777999EEETTTPPPdddtttWWWOOOUUU[[[TTTUUUWWWYYYYYYXXXVVVUUUYYYYYYXXXWWWUUURRRQQQOOONNNJJJFFFDDDDDDFFFGGGGGGDDDBBB@@@>>>;;;777222///------,,,,,,+++******)))---------,,,,,,,,,+++++++++***************++++++,,,+++***))))))***+++,,,))))))))))))))))))))))))************************))))))************))))))************************))))))***+++,,,,,,---------......///...---+++***,,,+++++++++++++++,,,,,,++++++,,,---...000222333555555666666777888888888===<<<:::666111//////000---...000222444444111...000111111222333444444444111333555888888888666555000000111222222111111111555444333333666;;;@@@CCCGGGHHHIIIGGGEEECCCBBBCCCDDDCCCAAA>>>999444000------000222///++++++///444666444222///,,,+++******++++++++++++++++++++++++,,,++++++******++++++,,,,,,+++***))))))***+++,,,,,,,,,++++++,,,,,,---............------,,,,,,,,,---------............///---------.........//////////////////000000000000///111333444>>>TTTooogggeeeeee___gggddddddooo~~~vvvnnncccYYYUUUIIIFFFCCCAAA@@@???>>>===AAA???======???AAABBBCCCCCCBBBBBBAAAAAAAAAAAABBB@@@@@@@@@@@@BBBDDDFFFGGGGGGGGGGGGHHHJJJLLLOOOPPPOOOMMMKKKKKKMMMOOOQQQQQQTTTTTTRRRPPPNNNOOORRRTTT===<<<;;;:::::::::;;;;;;:::888666444333222222222111444444111///000222222000000000000000///.........---,,,+++*********++++++++++++*********))))))))))))))))))************&&&''')))***+++++++++******************************+++,,,,,,------,,,,,,,,,,,,,,,,,,------------***++++++++++++++++++,,,+++---......---,,,------........./////////000000.........000222444555555;;;666444999@@@JJJZZZhhhppp}}}iiiXXXTTTTTTVVVVVVWWWWWWXXXXXXXXXYYYYYYXXXWWWVVVTTTRRRPPPOOOOOOLLLHHHFFFFFFFFFEEEDDDDDDBBB@@@>>>===:::666333......,,,+++************++++++******))))))))))))''''''((()))***+++++++++++++++************++++++************************************************))))))************))))))************************)))******+++,,,,,,------------.........---+++******************+++,,,---+++,,,---///222333555666777777777888888888999999::::::888555222000000111333333444666888777444111//////000000222333555555;;;;;;;;;;;;:::888777666888888888777666444222111111000000000222555888:::???CCCIIILLLKKKGGGDDDBBBBBBAAA???<<<999555333111---///111000...---...111666444222000...,,,,,,,,,++++++++++++++++++++++++,,,++++++******++++++,,,,,,+++***))))))***+++,,,,,,,,,++++++,,,,,,---............------,,,,,,,,,---------............///---------.........//////////////////000000000111111333444888CCCWWWnnn~~~|||gggddddddaaaffffffiiittt~~~oooeee]]]SSSLLLJJJFFFDDDCCCBBBBBBAAAAAA@@@FFFFFFFFFGGGHHHHHHHHHGGGGGGGGGGGGGGGGGGHHHIIIIIIGGGGGGGGGGGGHHHJJJLLLMMMOOONNNNNNNNNOOOQQQRRRSSSWWWVVVTTTTTTUUUWWWXXXYYYYYYYYYZZZZZZYYYYYYZZZ[[[<<<<<<;;;:::::::::;;;;;;999888666444333222333333222111111333111------///000000000000000///......---,,,+++***))))))))))))+++++++++******************************)))))))))(((((())))))***+++++++++++++++++++++++++++++++++***+++,,,,,,------,,,,,,+++++++++,,,,,,,,,---------------,,,,,,,,,,,,,,,,,,---//////---,,,---........./////////000000000000000000000000000000000:::777:::III___sssmmmccc```YYYVVVTTTTTTUUUWWWWWWWWWXXXXXXWWWVVVTTTSSSQQQPPPPPPNNNLLLJJJIIIGGGDDDAAACCCAAA@@@??????===:::888111000---+++*********+++***))))))))))))(((((((((((((((***+++++++++***)))******++++++++++++******************************************************))))))************))))))******************************++++++,,,,,,------,,,,,,---------,,,,,,+++++++++++++++,,,---...///---...111444666777888888777777777888888888888888666777777555333333444555666666777999;;;;;;888666999:::;;;<<>>;;;999777111111000///000111222222666;;;BBBHHHIIIIIIHHHGGGEEEDDDAAA===:::777555444///000111222222222111111666555444222000...------,,,,,,,,,,,,++++++++++++,,,++++++******++++++,,,++++++************++++++,,,,,,++++++,,,,,,---............------------------------............///------.........//////////////////000000000111111333444666;;;HHH\\\tttuuuhhhbbbbbbccceeehhhppp}}}vvviiiZZZQQQKKKEEECCCDDDEEEEEEFFFGGGHHHHHHIIIIIILLLNNNPPPRRRSSSRRRQQQPPPPPPPPPQQQQQQRRRRRRSSSSSSQQQPPPPPPPPPQQQRRRTTTUUUVVVVVVUUUUUUUUUVVVWWWWWW^^^]]]\\\\\\]]]^^^```aaa\\\^^^___aaaaaaaaa```___;;;;;;;;;;;;;;;;;;;;;;;;999888666444333333333333888111///333333///---///000000000000000///......,,,,,,+++******)))))))))************************+++++++++******)))))))))***))))))))))))***+++,,,++++++++++++++++++++++++***+++,,,,,,------,,,,,,+++++++++,,,,,,,,,,,,---//////......------,,,,,,,,,...//////...------......////////////000000000///000111111000000111222888@@@QQQkkkpppdddXXXSSSUUUYYYXXXUUUXXXXXXXXXWWWVVVTTTSSSRRRQQQPPPOOONNNLLLHHHCCC???AAA???>>>>>>??????===<<<555222///,,,******+++,,,+++*********************+++,,,---...---+++)))((()))***,,,,,,,,,,,,***)))************************************************)))******++++++******)))************************+++++++++,,,,,,,,,------,,,,,,,,,------------------------...///111222333111333666888999999888777555555555666666666666666555777888888777777999;;;<<<<<<===???AAAAAA???===999:::===???BBBDDDDDDEEECCCDDDDDDFFFGGGHHHHHHIIIJJJIIIIIIGGGFFFDDDBBBAAA999777444111000000111222333555888<<<@@@EEEKKKOOOKKKJJJHHHEEEAAA<<<777555444333222333666888888888:::999888666333000...,,,,,,,,,,,,,,,,,,+++++++++,,,++++++******++++++,,,++++++++++++++++++++++++,,,,,,++++++,,,,,,---..................------------------............///............//////////////////000000000111111111333444666===JJJ```}}}zzznnngggaaa```fffccckkkxxxxxx]]]SSSJJJFFFDDDCCCEEEHHHGGGIIIMMMOOOQQQSSSUUUWWWXXXZZZ^^^```aaabbbcccdddddddddddddddccccccbbbbbb___^^^^^^]]]^^^___aaabbb````````````aaaaaabbbbbbeeeffffffggggggiiikkkmmmhhhgggggghhhhhhhhhgggfff:::;;;;;;;;;;;;;;;;;;;;;888777666444333333333444999222...111444444222222000000000000000///......---------,,,,,,+++******************************,,,,,,++++++******))))))+++******)))******+++,,,++++++++++++++++++++++++***+++,,,,,,------,,,,,,++++++,,,,,,,,,---------000//////......---------,,,...//////...------...////////////000000000111,,,...000222333666:::>>>CCCTTTmmmeeeSSSSSSXXXYYYWWWXXXXXXXXXXXXWWWVVVUUUTTTRRRQQQQQQQQQOOOJJJDDD@@@@@@>>>======?????????===888666222...,,,+++,,,,,,*********************+++***+++,,,,,,,,,+++***)))***+++,,,------,,,+++*********************************************************++++++++++++******************************,,,,,,,,,,,,,,,---------,,,,,,,,,------......///.........///000111333444666777999:::999888555444222222222333444444555555777999;;;<<<<<<===???@@@DDDCCCCCCCCCDDDDDDAAA??????AAACCCEEEEEEEEECCCBBBEEEEEEFFFFFFEEECCCAAA@@@FFFGGGHHHHHHIIIHHHHHHHHHAAA>>>999444222222444666666777999:::===BBBHHHMMMLLLMMMNNNNNNJJJEEE???<<<:::666222222555999===?????????===;;;777333...,,,---------,,,,,,,,,++++++,,,++++++******++++++,,,+++++++++,,,,,,+++++++++,,,,,,++++++,,,,,,---...........................---------............///........./////////000000000000000000111111111111555444888@@@MMMcccmmmgggfff___```hhhcccooovvvfffZZZLLLFFFCCCEEEFFFGGGJJJOOOMMMPPPTTTWWWYYY]]]aaadddfffhhhkkkmmmooosssxxx|||zzzzzzyyyxxxwwwtttrrrqqqnnnmmmlllkkkkkklllnnnnnnmmmmmmnnnooopppqqqrrrrrrmmmppprrrssssssuuuxxx{{{zzzwwwsssrrrrrrsssrrrqqq999:::;;;<<<<<<<<<;;;;;;888777555444333333444444000222111...///222222000000000000000000///.....................,,,++++++***************++++++++++++++++++++++++*********++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,------,,,,,,,,,,,,,,,---------....../////////...............---...000000...---...////////////000000000111111000111222111000222888===OOOccc|||uuuYYYPPPSSSVVVVVVWWWWWWXXXWWWWWWVVVUUUUUURRRRRRRRRRRRQQQMMMGGGCCCAAA???======???@@@???>>>;;;999555222///---------((((((((())))))))))))***((((((((()))***++++++,,,++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++******************************++++++++++++******************************,,,,,,,,,,,,------------------------...///111111.........///000111222333999999999999777555333222000111222333444666777777:::===???AAAAAAAAACCCDDDDDDBBBAAAAAAAAA@@@>>><<>>===;;;888444111...---++++++,,,,,,,,,---------;;;888333///+++******+++...---++++++++++++---...++++++++++++++++++++++++***************************++++++,,,,,,++++++***************************------------------------///.........000222444555888888777777777888888999777666555333222222222222444555777999<<<>>>@@@AAA>>>AAACCCDDDDDDCCCDDDEEEBBBCCCFFFLLLTTTZZZ]]]___UUUSSSRRRUUU]]]jjjxxxyyyqqqeeeXXXOOOKKKJJJJJJLLLLLLLLLKKKIIIGGGFFFEEEHHHIIIJJJJJJHHHDDDAAA>>>999:::999:::===CCCKKKQQQJJJJJJIIIIIIJJJLLLOOOPPPMMMMMMJJJCCC;;;777:::>>>AAACCCEEEEEECCC???:::777//////...---,,,,,,++++++,,,++++++++++++++++++,,,++++++------------++++++,,,,,,++++++,,,,,,---...---.........//////000000---------.........//////////////////000000000000000111111111111222222222888444FFFtttyyylllbbb```___^^^aaahhhqqq{{{cccSSSTTTVVVTTTLLLHHHJJJMMMNNNNNNLLLNNNSSSWWWZZZaaahhhkkknnnqqqqqqrrrwww<<<<<<======<<<<<<;;;:::999777555444444444333222333:::@@@@@@:::444111111000000000000////////////------,,,++++++,,,,,,,,,)))******+++++++++*********+++,,,,,,------,,,,,,+++***)))***---...,,,***)))***+++---......------***+++---,,,++++++,,,...,,,++++++---000111000///------............------///////////////......---222///...000111000222777;;;666666AAATTThhhzzzzzzbbbYYYWWWUUURRRPPPPPPRRRUUUQQQPPPMMMKKKKKKMMMOOOQQQJJJGGGCCCBBBBBBCCCDDDDDDAAA@@@>>>;;;888333///---***++++++++++++,,,,,,,,,///...------++++++***)))++++++++++++++++++++++++///...---,,,++++++++++++******+++,,,,,,,,,,,,+++......---,,,,,,+++******+++,,,------++++++,,,---..................---------------///222777;;;>>>;;;<<<===:::777444333444777555555777777444444777<<<;;;<<<>>>>>><<<<<<===NNNLLLRRR]]]___VVVRRRTTTLLLKKKRRReeeyyywwwllllllxxx}}}jjjgggfffaaapppuuuxxxsssfffWWWLLLGGGFFFBBBIIINNNHHHHHHKKKHHHCCCDDDDDDAAA???AAAGGGMMMLLLNNNOOOMMMJJJHHHJJJLLLTTTSSSPPPKKKFFF???999666BBBDDDFFFFFFCCC???<<<:::555111------...000///......---,,,+++************------------------------++++++,,,,,,,,,---------........................---------........./////////000111000///...///000...111222111111333555666888777\\\xxxoooeee]]]___aaacccgggmmm~~~~~~xxxzzzzzzzzzuuulll```TTTLLLIIIKKKMMMOOOPPPQQQSSSTTTTTTXXX\\\^^^```ccchhhlllppptttwwwxxx{{{<<<<<<======<<<<<<;;;:::777555444444555666555444222333444444222///---,,,000000000000////////////...---,,,,,,++++++++++++++++++,,,,,,,,,++++++***)))***++++++,,,,,,+++++++++***)))+++---...,,,***)))***+++---......------+++,,,------,,,,,,---///...------...///000...------......//////......---------...///000000000///...,,,---000111000222777555AAATTThhhxxxooo___PPPKKKMMMNNNPPPTTTRRRQQQOOOMMMLLLLLLMMMNNNLLLIIIEEECCCDDDDDDEEEDDDBBBAAA@@@===:::666222000+++++++++++++++,,,,,,,,,...------,,,,,,++++++***++++++++++++++++++++++++///...---,,,++++++++++++******+++,,,,,,,,,,,,+++......------,,,++++++***+++,,,------++++++,,,---..............................///222555999<<<>>>::::::999888777888:::;;;<<<;;;<<>>;;;;;;===999555111//////000...---......---,,,,,,+++,,,,,,------------------------++++++,,,,,,,,,---------........................---------........./////////000111000///...///111///111222111111333777999DDDNNN{{{~~~jjjbbb]]]^^^```bbbiiiqqqxxxnnnhhh```___]]]YYYSSSLLLFFFBBBEEEJJJPPPTTTVVVYYY\\\^^^aaadddgggiiijjjmmmssswww}}}~~~<<<============<<<;;;;;;666444333444555777777666666333000///000111000///000000000000///////////////...---,,,+++*********---------------,,,+++***))))))***++++++++++++***+++******+++------,,,+++******+++,,,------------,,,---......------...000000///......//////---+++---......//////......---,,,,,,...///000111111111---,,,...111222000333888999SSSsssnnnQQQKKKPPPOOONNNPPPRRRQQQPPPOOOMMMLLLKKKKKKNNNKKKHHHFFFFFFEEEEEEDDDCCCCCCBBB@@@<<<999555333---,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,......---,,,++++++++++++***++++++,,,,,,,,,,,,,,,......------,,,++++++++++++---...---,,,+++,,,---...........................000222555888;;;<<<======999555333333444555666;;;:::<<<@@@@@@???BBBGGGNNNMMMJJJFFFFFFJJJPPPTTT^^^uuu}}}hhheee[[[\\\bbbbbbaaaYYYGGGKKKLLLMMMKKKIIIHHHHHHIIIIIIIIIHHHGGGFFFHHHLLLOOONNNPPPRRRSSSRRROOOLLLJJJEEEFFFEEE@@@999666999===<<<999555222111///...,,,//////...---------......------------------------,,,,,,,,,,,,------------........................------.........////////////000111111//////000111111222222111111333:::???KKKeeeqqqccc___]]]]]]^^^cccmmmxxx{{{pppeee[[[UUUSSSQQQOOOMMMKKKKKKKKKLLLEEEMMMWWW^^^___aaaeeehhhjjjkkklllmmmooosssxxx|||===============<<<;;;;;;777555444444666666666555666555333111222333444444000000000000////////////000///---,,,+++*********------------,,,+++***))))))******++++++++++++++++++++++++,,,------,,,,,,+++++++++,,,,,,------------...//////......///000///.........000000...---......////////////......------...000000111111111//////111444333111444:::DDD```\\\SSSWWWRRRLLLLLLOOOOOOPPPPPPOOOMMMLLLKKKNNNKKKIIIGGGGGGFFFDDDBBBCCCCCCBBB@@@>>>:::777666///...---,,,++++++,,,,,,+++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,...---,,,,,,+++++++++,,,***+++,,,,,,------,,,,,,......------,,,,,,,,,,,,,,,---...---,,,+++,,,...............////////////...000444777:::;;;;;;;;;<<<888444222333555555555===;;;===AAADDDGGGPPPYYYkkkllljjjdddaaadddhhhjjjmmm}}}vvv}}}sssVVVIIIHHHGGGFFFFFFGGGGGGGGGIIIIIIHHHGGGGGGHHHJJJKKKPPPRRRTTTUUUTTTQQQMMMJJJHHHIIIHHHAAA888333555999:::999666333111000...---///......------......///------------------------,,,,,,,,,------------.......................................///////////////000111111000///000222333333222222111444===FFFRRRvvviii\\\^^^___^^^___ggguuuxxxkkk```VVVOOOKKKGGGFFFEEEFFFHHHKKKNNNQQQMMMWWWbbbhhhiiiiiikkkooopppooooooooorrrvvv{{{======>>>>>>======<<<;;;999777555555555666555333...111444333///...000333000000000000////////////000///---,,,+++*********+++++++++++++++***))))))***++++++,,,---,,,,,,,,,***+++,,,------,,,------,,,,,,,,,,,,,,,,,,---------...000///......///111---------...111111000///...//////////////////...///000000000000000//////222111333444222111777???OOOjjjwwwwww|||{{{yyyzzz}}}lllYYYUUUPPPLLLMMMLLLMMMOOOPPPPPPOOONNNMMMLLLJJJIIIHHHGGGFFFCCC@@@BBBBBBAAA@@@>>>;;;888777111000...,,,++++++,,,---***++++++,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,------,,,+++++++++,,,,,,++++++,,,------------,,,......------------,,,,,,,,,---......,,,,,,---............/////////000000...111444888:::;;;::::::888666555666999===???@@@CCCAAACCCGGGNNNXXXhhhwwwsssYYYTTTMMMHHHGGGFFFDDDCCCFFFFFFGGGIIIJJJKKKKKKKKKQQQSSSUUUVVVVVVSSSPPPNNNLLLNNNMMMGGG===666333333666666555333222000000000///......------------...------------------------,,,,,,---------.........////////////////////////........./////////000000...000111111000000111333555333333444333555@@@MMMdddpppcccYYY^^^``````bbbmmm|||xxxmmmjjjccc[[[TTTNNNLLLKKKKKKMMMOOORRRVVVYYY[[[\\\[[[cccmmmrrrssstttvvvxxxzzzyyywwwxxx|||===>>>>>>>>>>>>===<<<<<<;;;888666555666555444333,,,111666555///,,,...222000000000000///////////////...---,,,+++*********)))******++++++*********++++++,,,------------,,,***,,,......---,,,---...---,,,,,,++++++,,,,,,------...//////......///111---,,,---///111222111000...//////000000//////...000111111111000000///...222111222333333666BBBNNNccc{{{~~~rrrfff^^^ZZZaaaxxx~~~~~~aaaSSSNNNOOORRRKKKLLLNNNOOOPPPPPPOOONNNKKKJJJIIIIIIHHHGGGCCC@@@@@@@@@@@@@@@>>><<<:::888333111///,,,++++++,,,---+++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,,,,++++++,,,---------------......------------------,,,...///...---,,,---............//////000000111000222555888:::::::::::::::::::::999999<<>>>>>>>>>>>>>>===<<<<<<999777666555666777666555111333555444111000111222000000000000////////////...---,,,,,,++++++++++++))))))***+++,,,,,,,,,,,,******+++,,,,,,,,,,,,,,,***,,,......---,,,---///------,,,+++++++++,,,---,,,...//////...---///000.........///111222000/////////000000000000/////////000000111111111000000222111333666:::DDDVVVggg|||{{{wwwqqqggg^^^ZZZWWW^^^vvvvvv^^^TTTQQQPPPMMMMMMNNNOOOOOOOOONNNNNNJJJJJJJJJKKKKKKIIIEEEBBB@@@@@@@@@@@@???===;;;:::555333///---++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,++++++,,,,,,---+++,,,------...---------------..................---...///...---,,,---///---......///000000111111333555777999:::;;;;;;;;;<<<===>>><<<;;;BBBOOOYYYaaa______```aaagggwww}}}sssqqquuu}}}~~~}}}|||uuurrrmmmeee^^^OOOLLLHHHGGGJJJNNNOOOPPPNNNOOOQQQSSSUUUXXXYYYZZZVVVTTTRRRPPPLLLFFF>>>888444666888777444222333555333222111///...---,,,,,,------------------------------------............////////////////////////.../////////000000000000...000111111111111222444555222555999888777DDDVVVrrrmmm[[[\\\XXX^^^``````gggyyytttfff]]]YYYZZZ]]]bbbeeeiiinnnuuuyyyuuuxxx~~~>>>>>>>>>>>>>>>======<<<777666555555777888888777555222000///000000000...000000000000////////////------,,,++++++,,,,,,,,,)))***+++,,,---.........))))))***++++++++++++******,,,//////,,,+++---///...---,,,+++++++++,,,---,,,---......------...000111000///000111111///---//////000000000000//////---...///111222222222222333333555:::BBBQQQhhh||||||llliiiqqq|||yyyqqqkkkgggbbbdddxxxooo]]]SSSKKKPPPOOOOOONNNNNNMMMMMMMMMJJJJJJKKKLLLMMMKKKGGGDDD@@@AAAAAAAAA@@@>>>===;;;555333000---++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,++++++,,,------+++,,,------......------------..................---...///...------...///---......///000111111222666777888:::;;;<<<======888<<>>777999:::999555333444555555444333111///...---------------------------------------.........//////000000000000000000000000////////////000000000000...000111222111111333444444222555;;;999888EEEWWWoooiii\\\^^^XXX]]]______hhh|||rrreee^^^___ccceeekkkrrryyy>>>>>>>>>>>>>>>===<<<<<<::::::999888777666555555111222222222222111000000////////////000000000000,,,,,,------,,,,,,+++*********+++++++++,,,,,,,,,******+++++++++,,,,,,,,,------------------------..................------///////////////.........000000////////////000000//////000111111111111000111333444333222333333222888111555JJJeeeyyyuuuiii[[[XXXdddxxx~~~```PPPSSSNNNUUUSSSGGGQQQYYYIIIJJJIIIIIILLLOOOOOOLLLIIIEEEEEEDDDBBB@@@???===<<<===:::666222///...------...------,,,,,,------.........------------...............------,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,..................------000//////000333666777777999777888<<<>>>===;;;999>>>@@@CCCLLL^^^{{{}}}|||hhhSSSIIIGGGHHHIIIKKKJJJMMMNNNLLLNNNTTTVVVSSSVVVVVVVVVVVVSSSOOOKKKHHHEEECCC???:::777555444444666666666444111///------.........///......------///////////////.........000000000000000000000000///////////////.........111111222222222333333333444///555333888;;;@@@aaawww\\\WWW\\\XXX\\\]]]___kkkyyyfff\\\ZZZ^^^jjjvvv>>>>>>>>>>>>>>>===<<<<<<999999888777666555444444222222222222111111000000000000000000////////////,,,------------,,,++++++***++++++++++++,,,,,,,,,***++++++++++++,,,,,,,,,------------------------......................../////////////////////...000000////////////000000000000000000111111111111222333222111222333444444666777FFFdddtttjjj```bbbssskkk[[[NNNRRRUUULLLOOOUUUMMMMMMLLLKKKMMMPPPPPPNNNLLLFFFEEECCCAAA@@@???>>>>>>???<<<999555111///.........------,,,,,,------.........------------.........------------------,,,------------------------------------------------........................222111//////111444666777;;;999999<<<>>>@@@@@@@@@???FFFPPPYYYhhh~~~zzz^^^NNNHHHGGGIIILLLKKKKKKJJJIIIIIILLLPPPTTTSSSTTTUUUUUUSSSPPPMMMKKKJJJHHHDDD???;;;888666666666777777666444111000///...............------,,,------....../////////000000000000000000000000000////////////////////////111111222222222333333333555000555333777:::@@@aaaqqq[[[XXXZZZZZZ\\\^^^bbbqqqrrrggg^^^^^^bbblll|||>>>>>>>>>>>>>>>===<<<<<<:::999999888777666555444333222111111000000111111111111000000//////......---------------,,,++++++++++++++++++,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,------------------------..............................//////////////////000000////////////000000111000/////////000222333444222000000222333555555;;;DDD[[[|||}}}uuuwwwqqqVVVNNNUUUQQQLLLPPPRRRPPPOOONNNOOOPPPQQQPPPOOOFFFEEEBBB@@@?????????@@@AAA???<<<888444111000///......------------............------------......---------------.........------------------------////////////////////////............////////////333111000000222555999<<<======>>>???CCCHHHLLLOOOSSS[[[dddiiirrr}}}qqqeeeXXXNNNJJJLLLFFFEEEJJJJJJGGGKKKTTTOOOPPPRRRSSSTTTSSSQQQPPPQQQNNNJJJEEE@@@<<<:::888777777888888777555333111///............------,,,++++++,,,---...///000111000000000000000000000000////////////////////////111111222222222333333333555000555222555999@@@bbbggg[[[ZZZXXX[[[\\\___gggyyyrrraaa___aaagggqqq>>>>>>>>>>>>>>>===<<<<<<;;;::::::999888777666666333222111000000000111111222111111000///......------------...---,,,,,,++++++++++++,,,,,,,,,------+++++++++,,,,,,,,,------,,,,,,---------------------------...........................////////////000000////////////000000222111///......000222333444000///111333333333555DDDRRRlll~~~kkkOOORRRSSSJJJLLLUUUQQQPPPOOOOOOPPPPPPQQQQQQGGGEEEBBB@@@??????AAABBBAAA@@@===:::666333000.........------------............------------......,,,,,,------......//////........................///////////////////////////////////////000000000///111333444777:::===@@@;;;AAAFFFIIIPPPZZZdddhhhqqqvvvzzzzzz}}}~~~zzztttgggdddUUUHHHCCCLLLOOOHHHHHHPPPKKKLLLOOOQQQSSSTTTTTTSSSUUUSSSOOOJJJEEEAAA===;;;777777777888888777555333000//////...------------,,,,,,,,,---...////////////////////////////////////////////////000000000111111222222222333333333555111666222555888AAAeee{{{]]]ZZZ[[[VVV[[[[[[```mmmvvviiidddhhhmmmttt}}}>>>>>>>>>>>>>>>===<<<<<<999999888777666555555444333222111111000111111111222111111000///......---------.........---,,,,,,++++++,,,,,,,,,---------++++++,,,,,,,,,---------,,,,,,,,,---------......---------.........//////---.........//////000000000000////////////000000222111///......000222333222000000444444222444999KKK```|||ZZZOOORRRKKKIIIUUUPPPPPPPPPOOOOOOOOOPPPQQQIIIGGGDDDAAA@@@@@@BBBCCC@@@@@@>>>;;;888444000...///......------......///......------------......---------....../////////................................................/////////000000000111111...222666999:::;;;===???888DDDPPPYYYeeexxxttt[[[IIIIIILLLFFFEEEKKKIIIJJJLLLOOOQQQSSSTTTTTTTTTSSSQQQNNNIIIEEEAAA>>>999777666666888888666444222111000///....................................////////////////////////////////////000000111111111111222222222333333333555111777222444999CCCiiimmmWWWYYY[[[VVVZZZ[[[cccttt{{{rrrkkksssxxx~~~>>>>>>>>>>>>>>>===<<<<<<777666555444333222222111111222222222222111000000111111000000//////.....................---,,,,,,,,,,,,,,,,,,------------,,,,,,,,,,,,------------+++,,,,,,------.........,,,,,,------.../////////------......///000000000000000////////////000000111000/////////000222333222000222666555333;;;GGGYYYrrr|||{{{vvvvvvzzz{{{{{{~~~oooTTTRRRMMMIIIRRROOOPPPQQQPPPOOONNNOOOPPPLLLJJJGGGDDDBBBBBBBBBCCC?????????===:::666222000//////............//////......------------...................../////////........................//////////////////////////////000000111111222222111666:::<<<;;;;;;===??????OOO___jjjzzz|||\\\LLLGGGDDDDDDHHHHHHIIIKKKMMMOOOPPPQQQRRRQQQQQQQQQPPPMMMIIIFFFCCC<<<999555555777888777666444333111000/////////000000000/////////.........000000000000000000000000...//////000000111111222111111222222222333333333555111777333555:::GGGooodddUUUWWWZZZXXX[[[^^^iii}}}~~~{{{yyyxxxppphhhqqq>>>>>>>>>>>>>>>===<<<<<<777777666555444333222222000111333444333222000...000000000000////////////...............------,,,,,,,,,,,,------------...,,,,,,,,,------------...++++++,,,,,,---......///,,,,,,------...//////000------......///000000111000000////////////000000000000000000111111111111333111333666444555GGG\\\zzz~~~vvvtttrrrppppppttttttssstttvvvtttnnnmmmooommmsssxxxyyyyyy|||^^^TTTPPPJJJOOONNNQQQSSSRRRPPPNNNNNNOOONNNLLLJJJGGGEEECCCBBBBBB???@@@@@@@@@===999555333//////............//////......------------......////////////....................................000000000000000000000000//////000111111222333333777:::>>>??????AAAGGGMMMWWWgggtttyyy{{{aaaRRRLLLIIIGGGIIIJJJJJJKKKLLLMMMMMMNNNMMMOOOQQQRRRQQQNNNKKKIIIBBB<<<666444777:::999888777555333111000000111111/////////000000000000000000000000000000000000000...//////000111111222222111111222222222333333333444111888333666<<>>>>>>>>>>>>>>======<<<::::::999888777666555555///111333555555222///---////////////000000000000......//////......---,,,,,,,,,,,,---------......,,,,,,,,,---------......++++++,,,,,,---...//////,,,,,,------...///000000---------...///000000111000000////////////000000//////000111111111111000444222333555333888PPPlll~~~|||}}}yyy||||||xxxqqqpppuuu{{{ttt~~~gggWWWRRRKKKMMMNNNQQQTTTTTTQQQOOONNNOOOOOONNNLLLJJJGGGDDDBBBAAA???AAABBBBBB@@@<<<888555//////............//////.........------.........000000//////......------////////////////////////111111111111111111111111///000000111222222333333:::===@@@BBBDDDKKKVVV^^^ppp}}}zzzeeeXXXPPPIIIJJJJJJJJJJJJKKKKKKKKKKKKKKKMMMPPPSSSSSSRRROOOMMMEEE???777555777;;;;;;:::888666444222111111111222......///000111222333333000000000000000000000000...//////000111222222222111111222222222333333333444222888444666>>>MMMwwwnnn^^^XXXVVVXXX\\\___eeevvvrrrggg___WWWSSSTTTWWW]]]bbblllvvvxxxiiijjj>>>??????>>>>>>===<<<;;;999999888777666555444444222222222111111111111000/////////000000------...///......------,,,++++++++++++,,,,,,,,,,,,------)))---111111...++++++,,,////////////////////////---------............///...///000///...---...000000000000000111111111111222///---...111333333111444111222888<<>>;;;888000///...///000000...,,,............................................................/////////000111111111111111222222333000111111222444555333///===:::>>>LLL[[[hhhuuuzzziiiXXXNNNIIIGGGJJJNNNNNNJJJHHHLLLMMMPPPVVVWWWRRROOOPPPKKKGGG@@@:::666666888:::777777555444222111//////111///...///111222222111111111000000000000111111111111000000//////......000222333333222111333444000,,,666<<<333<<>>===<<<;;;999999888777666555444444222222222111111111111000......///000000//////000///......------,,,++++++++++++,,,,,,,,,,,,------)))+++------,,,,,,,,,---........................---------............///...///000///...---...000...////////////000000000111///...///111333222000222222:::HHHTTT```wwwwwwrrrrrr|||wwwssszzz}}}wwwyyyvvvzzz~~~~~~iiiYYYQQQOOOPPPPPPQQQRRRSSSQQQNNNNNNMMMKKKKKKJJJHHHDDDAAA@@@????????????>>>;;;999222000/////////000...---........................................................./////////000000111111000000111111222333333444333333444777:::;;;===FFFUUUfffyyy~~~sss\\\SSSIIIEEEGGGKKKNNNPPPOOOKKKLLLPPPSSSQQQOOOPPPNNNJJJCCC===999999:::<<<999888777666444222111000111000...///111222222111111111000000000000111111111111000000////////////000222333333222222333444999111666:::555DDDlllzzz```VVVUUUTTTUUUYYYaaappprrraaaUUUMMMJJJMMMUUUaaapppwwwrrr???@@@@@@??????>>>===<<<999999888777666555444444222222222111111111111000,,,///111111000000111111///......------,,,++++++++++++,,,,,,,,,,,,------111///,,,+++,,,---...---........................---------............///...///000///...---...000............/////////////////////000111222000///111666FFF]]]nnnyyy|||dddbbbgggqqq}}}tttllliiiggglll}}}oooYYYRRRQQQQQQQQQRRRRRRRRRSSSOOONNNLLLLLLKKKIIIFFFCCCAAA@@@?????????>>><<<:::555333///...////////////................................................////////////000000000000111000000000000111222222000222444555555777===BBBHHH\\\rrrwwwkkkYYYKKKFFFHHHJJJLLLPPPKKKIIIMMMPPPPPPPPPRRRQQQMMMGGGAAA===<<<<<<===;;;;;;999888666444333333222000//////111222222111111111000000000000111111111000000000000/////////111222333333222222333444999111444888777LLLuuuiiiVVVQQQSSSSSSUUU[[[ccctttyyy```SSSKKKFFFIIIQQQbbbrrr@@@@@@@@@@@@???>>>===<<<888888888777666555555555222222222111111111000000...222444222///000111111///......------,,,+++++++++++++++,,,,,,,,,------===777000------...---,,,........................---------............///...///000///...---...000........./////////000000...///000111111111000///222<<>>======<<<<<<:::999777666444444333111///000111222222111111111000000000000111111000000000000000000000000111222444333222222333555333000666999;;;TTT~~~sssbbbSSSRRRTTTTTTWWW]]]hhhxxxmmmYYYJJJJJJLLLMMMXXXiii??????@@@??????>>>===<<<888888777777666666555555222222222111111111000000000777999333...///000...///......------,,,+++++++++++++++,,,,,,,,,------===777000------...---,,,........................---------............///...///000///...---...000//////000000000111111111...///000111111111222222111???UUUhhhtttxxxlllnnntttxxxhhhccceeekkkyyy}}}\\\UUUQQQSSSTTTQQQOOOPPPPPPOOONNNNNNNNNMMMJJJHHHBBBAAA??????@@@@@@???======888333//////000000000////////////////////////////////////////////////000000000111111111111222111111111111111222222333555444555999;;;>>>KKKXXXwwwrrr~~~yyy```QQQNNNKKKHHHCCCFFFKKKOOOLLLJJJOOOWWWPPPNNNKKKGGGCCC@@@>>>======<<<;;;999888666555444333222000000111222222111111111000000000000111111000000000000111111111111111333444444333222444555444444999999<<<]]]mmm___UUUUUUVVVUUUXXX___nnn}}}mmmXXXKKKEEEKKKOOOSSSdddyyy>>>??????>>>>>>===<<<;;;888777777777666666666555222222222111111111111000111:::<<<444...///000...///......------,,,++++++++++++,,,,,,,,,,,,------111///,,,+++,,,---...------------------------------------............///...///000///...---...000000000000000111111111111...000111111111222555777555EEEZZZiiittt|||xxxmmmjjjmmmxxxgggXXXNNNPPPSSSQQQOOOQQQOOONNNNNNNNNOOONNNKKKIIICCCAAA??????@@@AAA@@@??????;;;555111000000000000////////////////////////////////////////////////000111111111222222222222222222222222222333444444888333222:::BBBLLL^^^pppeeetttsss^^^VVVOOOHHHCCCEEEJJJLLLIIIFFFJJJRRRNNNNNNLLLIIIFFFBBB???===>>>===<<<;;;999777666555444222111111222222222111111111000000000000111111000000000111111111111222222333444444333333444555555555999888AAAiiiggg\\\TTTUUUVVVTTTYYYaaawww|||eeeTTTLLLGGGGGGOOOWWWdddzzz===>>>>>>======<<<;;;:::777777777777666666666666222222222111111111111000000;;;===444...000222//////......------,,,++++++++++++,,,,,,,,,,,,------)))+++------,,,,,,,,,------------------------------------............///...///000///...---...000/////////000000000000111///000111111111333888<<>>RRRcccnnn~~~xxxhhhrrrsssbbbRRRPPPKKKHHHIIIIIIGGGIIILLLMMMMMMMMMLLLIIIEEEAAA???@@@???>>>===;;;999888777555333111111222222222111111111000000000000111111000000111111111222222222222333444444333333444666444777@@@HHHZZZ```WWWRRRUUUVVVVVV]]]ggg}}}hhhZZZOOOFFFKKKNNNVVVcccvvv============<<<;;;:::999777777777777666666666666222222222111111111111000...:::>>>444...222444111///......------,,,++++++++++++,,,,,,,,,---------)))---111111...++++++,,,---------------------------------.........//////...///000///...---...000............/////////000///000111000111444:::@@@QQQ^^^ooo}}}~~~yyy{{{uuuhhhlllyyyxxxZZZSSSTTTSSSQQQSSSNNNMMMMMMNNNOOONNNLLLJJJDDDBBB@@@???@@@AAAAAAAAA@@@===888555333222000...000000000000000000000000000000000000000000000000111111222222222333333333555444444444444555666666888>>>TTTuuu{{{qqquuu~~~ggg___SSSHHHHHHKKKKKKJJJIIIMMMNNNNNNNNNKKKGGGCCCAAABBBAAA@@@>>>===;;;:::999555333111111222222222111111111000000000000111111000000111111222222222222222333555444333333444666555===OOObbb{{{vvv\\\TTTQQQUUUXXXZZZbbbnnnpppVVVIIIHHHJJJJJJUUU^^^lll~~~???@@@@@@??????>>>===<<<888888777777666666555555555555444333222222222222555666777777555222...,,,/////////...------,,,,,,((()))***,,,---...//////.........------,,,,,,,,,---------------------------------............///000000000000000000000000000000000000111111111111///111111///000888GGGTTTeeeooo~~~yyy}}}wwwjjjjjjwww]]]QQQUUUWWWSSSSSSPPPNNNNNNPPPQQQPPPNNNIIIEEEAAA>>>???@@@AAABBB@@@===:::888777666444222000000000000000000000000000000000000000000000000000111111222222222111111444111222555555333555999@@@PPPooo~~~ooohhhbbbddd{{{xxxyyy~~~~~~sssSSSFFFHHHLLLKKKHHHHHHHHHJJJLLLMMMLLLIIIFFF@@@BBBCCCAAA<<<:::;;;===777555222111222333222111111111111111111111111111333333333222222111111111444444333444444555666777:::BBBTTTsssjjjRRRPPPPPPRRRTTTZZZkkk}}}vvviiiYYYNNNNNNNNNLLLRRR[[[ttt~~~???@@@@@@??????>>>===<<<888888777777666666555555333333222222222333333444333444555555444111...,,,.........---,,,,,,++++++)))***+++,,,---...............---------,,,,,,,,,---------------------------------............///000000000000000000000000000000000000111111111111111333444333666AAARRR```lllwww|||oooooovvvlllVVVQQQSSSSSSSSSPPPNNNNNNPPPQQQPPPOOOJJJFFFBBB??????@@@AAAAAAAAA>>>;;;999777666333111000000000000000000000000111111111111111111111111000111111222222222222222444444777999888666:::AAAMMM]]]uuuttteeeaaannn{{{xxxvvvuuuyyyhhhOOOFFFJJJLLLIIIGGGHHHIIILLLNNNNNNLLLJJJBBBCCCBBB@@@>>><<<;;;<<<888666333222222333222111111111111111111111111111333333333222222222111111444444333444444555666777:::???RRRvvvhhhSSSPPPOOOQQQTTT\\\nnnyyygggZZZVVVKKKFFFMMMUUUZZZeeeppp~~~???@@@@@@??????>>>===<<<888888777777666666555555111111111111222333444555111222333333333111///---...------,,,++++++*********+++,,,,,,---------,,,...------------,,,,,,,,,---------------------------------............///000000000000000000000000000000000000111111111111000111222444;;;III\\\kkksss~~~uuukkkrrrgggUUURRRUUURRRPPPOOOOOOQQQRRRQQQPPPKKKHHHCCC@@@@@@@@@@@@???AAA???<<<:::888666333111000000000000000000000000111111111111111111111111000111222222333333333222111333777888555666@@@MMMeeerrrllljjj|||xxxxxxsssmmmkkkkkkkkkjjjgggnnnpppwww~~~}}}yyy^^^IIIFFFIIIHHHIIIIIIJJJLLLNNNOOOMMMKKKFFFDDDBBBAAA@@@???===;;;999777444333333333222111222222222222222222222222333333333222222222222111444444333444444555666777;;;<<>>===<<<888888777777666666555555111111111111111222333444///000111111111000///.........------,,,+++++++++,,,,,,,,,------,,,,,,+++---------------------------------------------------------............//////////////////////////////000000000111111111111000111444888AAAQQQeeesssvvv}}}wwwzzzuuuuuugggXXXVVVQQQPPPOOOOOOPPPQQQQQQQQQMMMIIIEEEBBB@@@@@@???>>>BBB@@@===;;;999777333111000000000000000000000000111111111111111111111111111111222333444444444333444555666666555===RRReee|||xxxuuuqqqmmmjjjkkklllppptttsssnnnmmmpppyyy^^^LLLGGGIIIKKKJJJIIIKKKLLLMMMLLLJJJIIIFFFBBBAAABBBBBB>>>;;;;;;999666444444444333222222222222222222222222222222222222222222222222222444444333444444555666777===<<>>===<<<888888777777666666555555444333333222111111222222...///000000000///......//////......---,,,,,,,,,,,,,,,------,,,,,,++++++---------------------------------------------------------............//////////////////////////////000000000111111111111222444888???JJJZZZlllxxxxxx~~~wwwooozzzjjjkkkyyyaaaTTTPPPPPPPPPOOOOOOOOOPPPQQQMMMJJJFFFCCCBBBAAA???>>>BBB@@@>>><<<;;;888444111111111111111111111111111111111111111111111111111111111222444444555555555:::777666999@@@RRRnnnyyywwwxxxxxxnnnkkkooorrrwww{{{}}}\\\JJJIIIGGGFFFEEEGGGJJJLLLLLLLLLKKKHHHDDDCCCDDDCCC???<<<===;;;777555555444333222222222222222222222222222222222222222222222222222444444333444444555666777;;;;;;VVVoooVVVPPPOOONNNOOOXXXkkkkkkXXXLLLHHHGGGHHHRRR\\\ooo???@@@@@@??????>>>===<<<888888777777666666555555666555444333222222222222/////////000//////......000//////......---,,,,,,,,,,,,---------,,,++++++,,,,,,,,,------------...---------------------------------............///000000000000000000000000000000000000111111111111///333:::DDDPPP___nnnwww{{{nnnsssxxxjjjkkkvvvmmmTTTOOOPPPPPPOOOMMMLLLNNNOOOMMMJJJGGGDDDCCCBBB@@@>>>AAA???>>>===<<<999666333111111111111111111111111222222222222222222222222111222333444555666666666888444666BBBUUUnnnrrrllleeeiii~~~~~~uuuoooRRRFFFBBBAAAAAACCCGGGLLLNNNOOOLLLJJJHHHFFFEEECCC@@@>>>???<<<999666555555333222333333333333333333333333111222222222222333333333444444333444444555666777888<<>>===<<<888888777777666666555555555555444444333444444444000000000000//////......//////...------,,,,,,+++++++++,,,------,,,,,,,,,,,,,,,,,,---------......---------------------------------............///000000000000000000000000000000000000111111111111///555???LLLZZZhhhtttzzz}}}vvv{{{ppp}}}}}}]]]OOOPPPPPPNNNKKKJJJKKKMMMMMMJJJGGGEEEDDDCCCAAA??????>>>>>>======;;;777444111111111111111111111111222222222222222222222222111222333555666666777777555444===VVVvvv|||lllPPPDDDBBBAAABBBEEEIIILLLLLLLLLLLLKKKHHHEEEBBBAAAAAAAAA>>>:::777666555333222333333333333333333333333111111222222222333333333444444333444444555666777777AAA___ttt^^^QQQKKKNNNOOOQQQ___uuu~~~ggg[[[PPPPPP[[[gggnnnnnnwww~~~|||pppqqqxxx???@@@@@@??????>>>===<<<888888888777666666555555444444444444555666777777222111111000//////............---,,,,,,++++++******+++,,,,,,---------,,,,,,,,,,,,------.........---------------------------------.........//////000000000000000000000000000000000000111111111111666===JJJYYYiiivvv|||vvvqqqsssuuuvvv}}}iiiOOOPPPPPPNNNJJJHHHIIIKKKLLLJJJGGGEEEDDDCCCBBB@@@>>>>>>===>>>>>><<<888555111111111111111111111111222222222222222222222222111222333555666777777777999:::KKKnnndddKKKHHHDDDCCCDDDFFFGGGGGGKKKMMMMMMJJJDDDAAAAAACCCAAA>>>:::888666555333222333333333333333333333333111111111222222333333333444444444444444555777777999GGGfffooo\\\QQQIIIMMMOOORRR```xxxtttiiiddddddqqq~~~|||}}}~~~}}}sssggghhhrrrzzz@@@???>>>======<<<<<<===888888777777666666555555555555444333333222111111///000111111111000...---........................------------------------+++,,,------......------........................---------............///---......///////////////...,,,---111222000111444777LLL^^^gggppp}}}~~~|||{{{xxxjjjiii{{{rrrzzzqqqSSSQQQNNNKKKKKKLLLMMMMMMLLLJJJHHHFFFFFFDDDBBB@@@BBBAAA?????????>>>;;;999666333000000111222333333333333222222333333444555222999999111000666888555555>>>fffhhhQQQCCCGGGHHHBBBBBBKKKHHHIIIJJJJJJIIIFFFCCCAAAAAA???<<<;;;999888555333555555444333222222222222000111111111111222222222555555666555555666999;;;<<>>===<<<<<<<<<<<<888888777777666666555555333333333222222111111000///000111111111000...---........................------------------------,,,---......//////..............................---------............///---......///////////////000...///222222000222666AAASSSdddjjjqqqzzz|||xxx~~~zzzzzz|||{{{|||```WWWOOOMMMNNNNNNLLLKKKMMMKKKIIIHHHHHHGGGEEECCCCCCAAA?????????>>><<<:::666444111000111333333333333333222222333333444555444666666444555999:::888EEEUUUyyylllOOODDDAAA???@@@EEEGGGIIIKKKKKKJJJGGGDDDAAABBB???===;;;:::888555333666555444333222222222222222222222222333333333333444555666666555666999;;;;;;GGGyyydddVVVIIIKKKMMMNNNVVVnnn}}}vvvyyywww|||}}}hhh]]]^^^fffkkkkkk>>>>>>>>>===<<<<<<;;;;;;888888777777666666555555111111111111111111111111///000111111111000...---........................---------------------------...//////000000//////........................---------............///---......///////////////222000000333222111444:::LLL[[[iiioootttzzz{{{wwwzzzvvvooo}}}~~~zzzxxxrrrzzzwwwbbbOOOLLLOOONNNLLLKKKNNNLLLJJJJJJJJJIIIHHHFFFCCCAAA@@@??????>>><<<:::777555222111222333333333333333333333333444444555555333444777999999;;;???OOOiiiuuuxxxaaaGGG???AAABBB@@@EEEGGGJJJLLLKKKHHHDDDAAABBB@@@===;;;:::999666444666555444333222222222222333333333333444444444444444555666666555777:::<<<:::KKK|||[[[QQQIIILLLNNNPPPZZZrrrwwwoootttuuu|||xxxaaaWWW[[[dddgggfff>>>>>>======<<<<<<;;;:::888888777777666666555555111111111111222222222222///000111111111000...---........................------------------------------...///////////////........................---------............///---......///////////////333111111333222222777>>>RRR^^^jjjpppvvv|||~~~|||www{{{kkkpppzzzwww|||vvvWWWKKKLLLLLLMMMOOOMMMKKKJJJJJJKKKKKKIIIHHHDDDBBB@@@??????>>>===;;;999666333222333444444444333333333333333444555555444111444999888555===JJJZZZxxxvvvTTTEEEFFFEEE@@@BBBEEEHHHKKKJJJGGGDDDAAABBB@@@===<<<;;;:::777555666555444333333222222333333333333333444444444444444555666666666777:::===;;;PPPuuuUUUOOOKKKLLLNNNRRR^^^vvvooogggnnnsss|||ttt[[[TTT\\\ccceeeccc===>>>>>>>>>===<<<;;;:::888888777777666666555555222222222333333333333333///000111111111000...---........................------------------------,,,,,,---............---........................---------............///---......///////////////111000000222222333<<>>>>>>>>===<<<:::777444333444555555444444444333333444444555666222222666999666777III___uuueeeKKKFFFEEEAAA@@@BBBFFFHHHHHHFFFDDDAAABBB@@@>>><<<<<<:::888666666666555444333333333333222222222222333333333333444555666666666888;;;>>>>>>XXXuuukkkRRROOONNNLLLMMMSSSbbbzzz}}}hhhbbbkkkqqqzzzoooVVVRRR[[[``````___>>>>>>?????????===<<<:::888888777777666666555555333333333333333333333333///000111111111000...---........................------------------------+++,,,,,,---...---------........................---------............///---......///////////////000///000222333777CCCOOO]]]___cccggglllqqqtttvvv||||||zzz{{{{{{uuusss}}}nnnxxxhhhOOOLLLOOOOOOKKKJJJHHHHHHIIIIIIHHHFFFFFFCCC@@@>>>>>>>>>>>>===<<<999666444444555555555444444444444444555555666222444666777999HHHeeezzzWWWGGGCCCBBB@@@BBBDDDFFFGGGGGGEEEDDDBBB@@@>>>======;;;999777777666555444333333333333222222222222333333333333444555666666777888<<<>>>CCCdddvvvcccRRROOONNNLLLMMMTTTggg~~~{{{hhhccckkkoooxxxgggQQQOOOWWWZZZYYYYYY??????@@@AAA@@@>>><<<;;;888888777777666666555555444444333333222222111111///000111111111000...---........................------------------------,,,------.......................................---------............///---....../////////////////////111444666<<>>>>>>>>>>>======:::666555555666666555444444444444444555666666444666555555DDDeeepppUUUHHHCCCBBBCCCDDDFFFGGGHHHHHHHHHBBBAAA>>>======<<<:::888777666555444444333333444333333333333444444444444444555666777777999<<>>>>>???>>>>>>===:::777555666666666555555444444444444555666666666777222444NNN}}}hhhPPPEEEDDDDDDEEEFFFHHHIIIJJJKKKCCCAAA???>>>===<<<:::888777777555444444444444444444444444555555555666666444555666777777999===???NNN}}}|||[[[SSSNNNIIIOOOOOOYYYnnn~~~{{{}}}zzzzzzsssooossspppsssvvv___NNNOOOUUUSSSRRRTTT@@@@@@@@@@@@???===<<<:::::::::999777666444333333222222222111111111111000000000000000000000000000......---,,,,,,,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......,,,,,,------...///000000............////////////000000111111111000000///111000111555???LLLYYYaaallllllmmmooosssyyy}}}nnn```]]]cccooo~~~|||uuuvvvvvv{{{vvvtttwww||||||vvvtttuuu}}}vvvccc[[[bbbwwwppp^^^]]]lllgggVVVRRRNNNPPPNNNJJJHHHGGGGGGFFFDDDBBBBBBAAAAAA@@@???>>>>>>???===:::777555555555666888666555666444222555;;;999999888AAA^^^~~~dddRRRHHH@@@>>>DDDLLLLLLIIIGGGDDDBBB???>>>>>>===<<<:::999888666444333333333333444444444444444444444444222777999666444777===BBBIII{{{YYYNNNKKKLLLOOOPPP\\\ttt}}}yyyrrrnnnqqqoootttrrr```QQQPPPUUUVVVQQQMMM@@@@@@@@@@@@???===<<<:::::::::999777666444333333222222222111111111111000000000000000000000000000......------,,,,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......,,,,,,------...//////000............////////////...///000111222222333333555444555<<>>>>>===???===:::777666555555666888555444666666555666;;;666:::CCCWWWuuu|||zzzjjjMMMGGGCCCDDDFFFFFFGGGJJJFFFCCC@@@???>>>>>><<<:::999888666444333333333444444444444444444444444444333666888666555888===BBBPPPxxxXXXOOOLLLMMMOOORRR___www~~~~~~{{{yyyllllllrrrrrrxxxmmm^^^QQQQQQUUUUUUOOOJJJ@@@@@@@@@@@@???===<<<::::::999888777666555444333222222222111111111111000000000000000000000000000.........------------,,,------------------------,,,,,,,,,---------......,,,,,,------.../////////---............/////////------...///000111111222:::888:::CCCRRR```iiillllllmmmmmmooovvvuuuuuu{{{zzzoooiiiiiihhhmmmuuu}}}}}}vvvqqqmmmiiiddd```^^^\\\XXXTTTUUUQQQNNNOOOPPPTTT]]]fffwwwxxxsssrrrxxx{{{nnn]]]PPPHHHGGGPPP[[[oooxxxppp___aaalllYYYMMMTTTMMMLLLJJJIIIHHHGGGEEECCCDDDDDDBBBAAA???>>>===<<<>>>===:::888666666666666888444333666888777777999888???SSSrrr}}}{{{lllMMMIIIGGGGGGFFFDDDGGGLLLHHHFFFCCCAAA@@@>>><<<;;;999888666444333333333444444444444444444444444444444555666666777:::>>>BBB]]]uuuVVVNNNLLLNNNPPPUUUddd|||~~~zzz{{{{{{}}}tttjjjllltttuuuzzz~~~ggg[[[RRRSSSVVVSSSMMMIII@@@@@@@@@@@@???===<<<:::999999888777666555444444222222222111111111000000////////////////////////...............------,,,........................,,,,,,,,,---------......---------.........//////---------.........//////,,,,,,------......///000;;;:::===HHHYYYfffjjjjjjhhhiiiiiijjjsss|||~~~}}}vvvpppllljjjmmmrrrxxx|||~~~~~~}}}vvvqqqiiiaaa^^^\\\VVVOOOLLLHHHGGGIIIJJJJJJOOOUUU\\\eeerrr|||~~~yyyooohhhfffaaa```fffnnntttzzzzzzlll\\\QQQIIIFFFJJJQQQ^^^fffrrrsssfffcccnnn^^^NNNXXXMMMLLLJJJIIIIIIGGGEEECCCEEEDDDCCCAAA???===<<<;;;>>><<<;;;999777666666666999444333666888777555777<<>>TTTvvvdddWWWKKKGGGHHHHHHHHHJJJLLLIIIFFFCCCBBBAAA>>><<<:::999777555444444444444555555555555555555555555666333444888:::<<>>===<<<<<<<<<;;;:::999888777777999777777888777666999???JJJkkk{{{~~~tttXXXIIIDDDEEEHHHKKKKKKIIIFFFDDDCCCAAA???>>>:::999777555444444444555555555555555555555555555666333444999:::<<>>???;;;<<>>>>>===<<<<<<;;;;;;:::999888777777777999:::888888AAAKKKmmmpppXXXJJJDDDFFFKKKJJJHHHEEECCCCCCBBB@@@???:::999777666555444555555555555555555555555555555666333666:::999<<>>KKKYYYbbbeeedddccchhhccc[[[UUUUUUYYY___dddmmmyyy|||{{{wwwuuukkkjjjfff^^^XXXWWW]]]cccpppcccYYYNNNNNNLLLJJJIIINNNWWW]]]jjjzzzzzzzzzwwwpppdddZZZOOOIIIDDD>>>;;;;;;===<<<<<<;;;;;;;;;;;;;;;999<<<>>>>>><<>>===@@@BBBFFFKKKSSS```ppp{{{|||fff]]]uuu\\\VVVOOOJJJGGGFFFFFFFFFBBBBBBAAAAAA@@@???>>>>>><<<<<<<<<;;;:::999888777555777;;;<<<:::;;;GGGTTTjjjUUUGGGEEEIIIIIIGGGDDDCCCCCCBBBAAA???:::999777666555555555555666666666666666666666666555444777;;;999<<>>>>>>>>===;;;999999999888888777555444333222222222111111111111000...///111222222111000000000///((()))444222***,,,000...,,,,,,.........---+++++++++++++++,,,---.........//////000000111111000//////...............111111222222222333333444<<>><<<;;;::::::::::::;;;<<<===>>>???<<>>@@@DDDIIISSSeeeuuuppp]]]iiipppVVVJJJMMMLLLJJJHHHBBBDDDCCCAAA???>>>===<<<<<>>>>><<<;;;:::999999;;;888999;;;999===VVVsss|||]]]IIIHHHEEEGGGFFFFFFFFFEEECCC???<<<;;;:::999888777555444444777666666555555555666666666777666:::??????OOOnnnmmmQQQIIIJJJMMMOOOVVVhhh|||zzzyyy{{{vvvvvvyyy{{{~~~{{{rrrggg___RRRJJJDDDGGGKKKLLLLLLNNNFFFHHHIIIJJJKKKLLLOOOQQQAAA???>>>>>>>>>===;;;999999999888888777555444333222222222222111111111111000000111111111111000000///;;;777***)))++++++......---+++,,,---...---,,,......------------------...............////////////......------......///000000111000000000111222@@@GGGSSS___ggghhheeeaaa^^^```aaa```]]][[[[[[\\\fff|||zzz~~~}}}yyy}}}vvvooojjjccc]]][[[[[[[[[ZZZYYYYYYXXXUUURRRUUU\\\bbbvvvrrrdddZZZVVVUUURRROOOMMMMMMOOOQQQYYYccclllppprrrqqqjjjaaaUUUNNNFFF???===<<<;;;:::<<<<<<<<<<<<<<<===>>>???<<<>>>>>><<<;;;@@@KKKTTTTTTNNNGGGAAA@@@???>>>===???===>>>BBBFFFPPP```pppfffcccxxxsssWWWKKKPPPLLLGGGHHHFFFDDDCCCAAA???>>>===<<<<<<>>>>>>===<<<;;;:::999999888888888999;;;IIIfff}}}{{{www|||aaaJJJKKKLLLGGGFFFFFFFFFEEECCC@@@===;;;;;;:::888777666555444666666555555555555666666888999666888;;;:::JJJhhhjjjPPPHHHJJJMMMNNNWWWiii}}}yyywwwwwwtttwww}}}sssuuuwwwxxxuuulllaaaYYYNNNGGGBBBEEEHHHHHHHHHIIIBBBCCCDDDEEEEEEGGGKKKNNN@@@???>>>>>>>>>>>>;;;999888888888888777555444333333222222222111111111111111111000000000000000111((())))))333===444)))------+++***+++,,,---,,,+++/////////...------,,,,,,.........---------------------------...///000000111111222111000000222444DDDNNNZZZccceeecccaaa```\\\eeennnpppiiiaaa]]]^^^iiizzzyyyvvv~~~xxxzzzyyyyyyqqqjjjccc___\\\ZZZWWWVVVWWWYYYZZZZZZ___^^^\\\XXXUUUVVV\\\aaappp~~~~~~tttmmmiiiccc```\\\WWWSSSQQQOOOOOOMMMTTTZZZ]]]^^^^^^YYYTTTFFFCCC>>>;;;;;;;;;;;;;;;>>>======<<<======>>>>>>======<<<;;;;;;>>>DDDHHHGGGDDD@@@>>>>>>??????>>>>>><<<===@@@CCCJJJZZZhhh~~~yyyfffhhh{{{yyyXXXJJJPPPJJJAAABBBFFFCCCBBBAAA???>>>===============<<<;;;:::999888888888:::999888CCC___{{{yyyyyylllPPPKKKKKKHHHGGGFFFFFFEEECCC@@@===<<<;;;:::999777666555555666666555555555555666666888999777888:::888IIIiiifffNNNHHHIIILLLOOOXXXlll}}}xxxuuuuuutttyyy}}}tttoooppprrrrrrooofff\\\TTTLLLFFFBBBEEEGGGEEEDDDEEE???@@@@@@@@@AAADDDIIILLL@@@???>>>>>>>>>>>><<<:::888888888888777666555444333333222222222111111111000////////////111222444NNNRRRCCC///)))(((+++444,,,++++++,,,---...---+++------------------,,,,,,///.........------,,,,,,---------...///000222333333444555333111222666999HHHRRR^^^ccc```\\\[[[\\\```ttt{{{iiicccdddooo{{{~~~}}}uuuxxxvvvuuu{{{zzznnnfffbbb``````ccccccbbbccceeeiiikkkllllllooommmhhhbbb\\\[[[]]]```nnn~~~yyyuuusssnnnkkkfff```[[[VVVQQQNNNFFFIIIKKKMMMMMMLLLIIIGGG===;;;:::999::::::;;;;;;>>>======<<<<<<<<<======>>>===<<<<<<>>>@@@AAAAAA@@@???>>>??????@@@@@@@@@>>>======???@@@FFFSSS```uuu{{{gggfffxxx```LLLQQQMMMAAAAAAEEECCCBBBAAA???>>>=========<<<<<<;;;:::999999888888999>>><<<;;;OOOvvvyyyyyysssppplll```___eee{{{aaaNNNFFFIIIGGGFFFEEEEEECCC@@@>>><<<<<<;;;999888777666555666555555555555666666777666888777999<<<;;;NNNooo```LLLHHHIIILLLOOO[[[ooo|||xxxvvvwwwvvv{{{yyysssooopppqqqqqqmmmfff\\\UUUNNNHHHFFFGGGHHHDDDBBBCCCAAAAAA@@@@@@@@@DDDIIIMMM???>>>===>>>???>>><<<:::777777888777777666555444333333333222222222222111---------...000222555666gggQQQ===444,,,,,,,,,,,,---///000...---+++,,,...///000000000000000//////......------------......///000222333444333555555333111333999>>>KKKTTT^^^```ZZZUUUVVVXXXjjjtttkkkooouuu|||{{{xxxzzzvvvuuu~~~zzzrrrwwwwwwmmmeeeccceeehhhpppyyywwwwwwxxx|||}}}zzzssskkkeeeaaaaaaaaammm}}}}}}zzzyyyuuurrrlllfff```YYYQQQKKKEEEDDDDDDDDDBBB@@@??????::::::;;;;;;:::::::::;;;======<<<<<<<<<<<<<<<<<<===<<<;;;===@@@AAA@@@>>>===>>>???@@@???????????????===>>>??????CCCNNNZZZooorrr___gggwwwiiiOOORRRPPPHHHFFFEEEBBBBBB@@@???>>>>>>>>>>>>;;;;;;;;;::::::999999888999>>>===@@@\\\vvvjjjwwwsssjjjccc]]]SSSQQQNNNXXXkkkwww|||uuuVVVIIIJJJHHHFFFEEEEEEDDDAAA???===<<<;;;:::999777777666555555555555555666777777666999888:::<<<<<>>===>>>???>>>===;;;777777777777777666555555333333333333222222222222,,,,,,---///111333555666FFF|||]]]111+++,,,,,,,,,...000111///---,,,---///111333333333333/////////........................///000111333444000333333111///222:::AAAPPPVVV\\\\\\VVVRRRTTTWWWooozzzrrrvvvwww}}}yyysssqqqnnnuuu~~~sssrrrzzz|||vvvlllfffiiimmmqqq|||zzzrrrkkkgggeeedddnnn~~~|||wwwqqqkkkddd[[[OOOHHHGGGCCCAAAAAA???;;;;;;>>>;;;<<<======;;;:::;;;<<<=========<<<<<<===>>>>>>;;;;;;;;;===??????>>><<<<<<>>>??????===<<<======>>>===>>>???>>>@@@JJJVVVjjj}}}cccbbblllsssUUUPPPKKKIIIGGGBBBBBBAAA@@@???>>>>>>>>>>>><<<;;;;;;;;;:::::::::999999<<<>>>JJJlllkkkjjjuuusssjjjbbb\\\TTTMMMHHHJJJQQQWWW^^^nnn|||~~~[[[MMMJJJHHHFFFEEEEEEDDDBBB@@@>>>===<<<;;;999888777777555555444555555666777888666:::999999999999NNNqqqWWWJJJJJJKKKMMMRRRcccxxx~~~zzzxxxyyyyyyyyyyyy}}}yyyyyy{{{vvvuuuuuussspppiiiaaa\\\SSSNNNKKKIIIFFFAAA@@@BBBAAAAAAAAA@@@@@@AAAEEEIII???>>>===>>>??????===;;;777777777777777666666555444444333333333222222222---...///000111222222222000,,,BBBmmmtttEEE)))999******,,,...000000...,,,+++---///111222111000000---------------.........------------...///111111///222333111///333<<>>???>>>;;;<<<@@@<<<>>>???>>><<<;;;===???>>>>>>>>>>>>???@@@AAAAAA>>>???@@@@@@???>>>>>>>>><<<>>>@@@???===<<<===>>>===<<<===>>>===>>>GGGRRRfffvvviiiggguuummmYYYJJJHHHHHHAAAAAAAAA@@@???>>>>>>>>>>>><<<<<<<<<;;;;;;;;;;;;;;;;;;;;;AAAXXXtttwwwuuukkk```YYYQQQIIIJJJKKKKKKNNNUUU___gggiiiooouuu~~~~~~xxx|||```TTTKKKIIIFFFEEEEEEDDDBBB@@@>>>>>>===;;;:::999888777444444444555555666777888666:::999:::::::::PPPuuu|||TTTIIILLLLLLNNNTTTfff|||{{{yyyxxxwwwsssuuu|||zzz{{{|||{{{zzzyyywwwsssmmmfffaaaXXXSSSOOOLLLGGGBBBAAAEEEBBBBBBBBBAAA@@@AAACCCFFF>>>======>>>??????===;;;666777777777777777666555444444444333333333222222///000111222222111000///222888000)))222555...***))))))***---//////---+++)))+++,,,......---+++***+++++++++,,,,,,---------,,,,,,,,,,,,,,,---...///111333555333111555@@@III[[[\\\\\\YYYVVVVVVYYY\\\___ooozzzooolllmmmsssyyysssiiicccaaatttyyyoooooovvv}}}}}}uuulllfffbbb\\\fffqqqvvv|||zzzqqqdddTTTIIIDDD>>><<>>@@@>>><<<<<<>>>AAA@@@@@@@@@@@@AAABBBCCCDDDCCCEEEFFFDDDBBB??????@@@>>>@@@BBBAAA>>>>>>???BBB;;;;;;<<<===<<<<<>>>>>>>>???<<<<<<<<<<<<<<<<<<;;;;;;>>><<>>>>>===<<<:::999888777444444444555555777888888444999:::<<<>>>???WWW}}}zzzSSSIIIMMMMMMNNNUUUiii~~~}}}yyyvvvuuulllqqq{{{}}}{{{xxxrrrkkkfff^^^XXXSSSOOOJJJDDDEEEIIIDDDEEEEEEDDDCCCBBBDDDEEEBBBAAAAAA@@@>>><<<;;;:::888888888777777777777777333333222222111000//////000000000000000000000000///............---------***+++,,,,,,******+++,,,........................***+++,,,,,,------,,,,,,,,,,,,,,,---------.........444777555222888FFFSSSZZZZZZXXXUUUXXX^^^```^^^XXX\\\ccchhhhhhgggnnnwwwvvvtttooofff___fff~~~wwwkkkmmmrrruuu|||wwwddd\\\VVVPPPSSSYYY___gggsssssscccSSSHHHBBB???<<<===???@@@>>><<<@@@DDDFFFDDD@@@===@@@DDDBBBBBBBBBBBBBBBEEEIIILLLJJJLLLMMMJJJCCC??????@@@DDDBBB@@@???@@@@@@@@@??????@@@@@@??????BBBFFFJJJddd{{{hhhkkkgggooodddPPPHHHFFFEEECCC@@@>>>>>>>>>===<<<>>>>>>===>>>???>>>===;;;???;;;MMM{{{uuueeeWWWPPPIIIHHHGGGHHHJJJKKKJJJIIIGGGNNNSSSXXXeeeyyyyyyyyy\\\NNNIIIKKKJJJCCCEEEGGG@@@>>>>>>===<<<:::999888777777777666666666666777777666888888999;;;AAAdddvvvWWWGGGHHHLLLIIIZZZnnn}}}wwwpppjjjkkknnnxxx~~~{{{yyytttpppjjjcccZZZSSSOOOLLLIIIFFFFFFFFFEEEDDDCCCDDDGGGIII@@@@@@@@@???===<<<:::999888888888777777777777777333333222222111000000///000000000000000000000000///............---------+++,,,---,,,+++++++++---........................++++++,,,------------,,,---------.........//////...111444333444<<>>???AAABBBBBB@@@@@@BBBDDDCCCAAA@@@BBBEEEGGGGGGGGGGGGGGGJJJNNNQQQSSSQQQOOOMMMIIIFFFDDDCCC????????????@@@@@@@@@??????@@@@@@??????BBBFFFIIIccczzzxxxhhhdddkkkkkkPPPHHHHHHEEECCC@@@>>>>>>>>>===<<<>>>======>>>>>>>>>===<<<>>>AAAXXXzzzhhhXXXPPPIIIHHHGGGHHHIIIJJJIIIHHHHHHMMMRRRVVVaaassszzz{{{bbbQQQJJJJJJIIIBBBCCCEEE>>>>>>>>>===<<<:::999888888777777666666666666777777888;;;;;;===???DDDgggsssVVVHHHIIIMMMJJJ[[[rrr{{{uuummmhhhjjjnnnxxx~~~xxxtttssskkk___VVVPPPLLLIIIGGGHHHHHHFFFEEEDDDEEEGGGIII?????????>>><<<;;;999999888888888777777666666666333333222222111000000000000000000000000000000000///............---------,,,---...---,,,,,,---...------------------------++++++,,,---------------........./////////000000...//////222888CCCOOOWWWZZZVVVQQQOOOVVV^^^___ZZZQQQOOORRR\\\eeekkkrrrxxx{{{ssskkkgggiiisssxxxmmmhhhoooyyyzzzxxxxxxyyy~~~vvvcccYYYPPPNNNPPPTTTWWW[[[```eeeiiillllllkkkhhhbbbXXXLLLDDD@@@>>>======???AAABBBAAACCCCCCDDDEEEFFFGGGIIIJJJKKKLLLLLLLLLLLLOOOSSSVVVYYYUUUQQQNNNLLLIIIEEEBBB>>>>>>???@@@AAAAAAAAAAAA???@@@@@@??????AAAEEEHHH___vvvkkkdddeeewwwzzzVVVIIIJJJEEECCC@@@>>>>>>>>>>>>===<<<=====================@@@MMMkkklllZZZPPPJJJIIIGGGGGGHHHIIIHHHGGGHHHLLLOOORRR\\\lll{{{www}}}hhh[[[OOOLLLJJJCCCDDDEEE>>>???>>>===<<<;;;999888888777777666666666666777777555888999;;;===BBBffflllTTTHHHJJJNNNKKK[[[uuu~~~zzzuuummmgggiiimmmwwwyyyzzzrrrggg\\\UUUQQQNNNMMMMMMKKKIIIGGGFFFGGGHHHJJJ?????????>>>===<<<:::999888888888777666666555555222222222111111111000000///////////////////////////............------------...///...---,,,---///------------------------+++,,,,,,---...------------.........////////////000......222<<>>>>>@@@BBBDDDDDDHHHGGGFFFIIIMMMPPPRRRRRRRRRTTTUUUUUUVVVYYY\\\___aaa___[[[VVVQQQLLLHHHFFFCCCDDDDDDCCCBBBBBBCCCDDD???@@@@@@@@@???AAACCCFFFXXXnnn{{{jjj^^^fff~~~^^^JJJIIIEEECCC@@@?????????>>>===<<<<<<======<<<===>>>???GGG^^^qqq]]]RRRLLLJJJHHHGGGHHHHHHGGGGGGGGGJJJLLLPPPYYYhhhxxxvvvxxxgggWWWPPPNNNGGGFFFGGG@@@??????>>><<<;;;:::999888777777666666666666777777333777888;;;<<>>===<<<;;;888888777777666555555444222222222111111111111111///////////////////////////............------------...//////------...///------------------------,,,,,,---.........------,,,,,,---------.........333//////555@@@LLLSSSUUURRRNNNHHHJJJWWWeeeiiieee___VVVQQQXXXaaaeeeeeeeeejjjgggiiivvv}}}uuu{{{kkkiiilllvvv~~~}}}~~~}}}xxxtttttt|||yyyrrrrrrmmmkkkkkklllmmmllliiieeebbbWWWSSSMMMHHHFFFEEECCCBBBDDDDDDEEEFFFGGGHHHJJJKKKLLLKKKKKKNNNRRRWWWZZZ[[[^^^```bbbdddeeehhhlllooooooqqqqqqhhh[[[RRROOOPPPJJJJJJIIIFFFBBBAAABBBDDD@@@@@@AAA@@@???@@@BBBDDDPPPeee~~~zzz^^^[[[lll~~~]]]IIIGGGEEECCC@@@??????@@@???>>>;;;===>>>===<<<===@@@BBBRRRpppxxxdddWWWOOOLLLIIIHHHHHHHHHGGGFFFFFFGGGJJJOOOWWWfffyyyzzzssssssttt|||}}}rrr\\\QQQNNNHHHGGGGGGAAA??????>>>===;;;:::999888777777666666666666777777666:::<<<>>>???GGGooo~~~zzz^^^LLLFFFJJJNNNKKK\\\{{{|||uuummmgggfffjjjvvv}}}wwwoooggg```\\\ZZZVVVPPPMMMLLLMMMMMMMMM@@@@@@@@@@@@???>>>===<<<888888777777666555444444111111111111111111111111000000000000000000000000///............------------...///...------...///,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---...............,,,,,,,,,------------...222000111999DDDOOOSSSTTTNNNLLLIIIMMM\\\mmmvvvvvvmmmbbb[[[___dddeeeaaa^^^aaaaaakkk~~~lllaaaooouuuhhhiiiooozzzvvvtttvvv|||}}}xxxsssrrr~~~|||{{{}}}|||{{{zzzxxxtttnnngggaaaXXXRRRKKKFFFEEEFFFHHHIIIHHHKKKNNNOOOOOOOOOOOOPPPQQQRRRSSSUUUYYY^^^ccceeefffhhhlllnnnqqqtttyyy||||||vvvdddVVVRRRSSSMMMNNNOOOLLLFFFBBBAAABBB@@@AAAAAAAAA??????AAABBBIII\\\sssiii\\\cccvvvxxx[[[IIIGGGEEECCC@@@???@@@@@@@@@???;;;===???>>>===>>>BBBFFF```nnn]]]RRROOOKKKHHHHHHHHHGGGGGGFFFFFFHHHNNNVVVeeezzzuuuiiidddeeelllwww|||xxx^^^OOOLLLGGGEEEEEE???@@@???>>>===<<<:::999999777777666666666666777777555:::;;;<<<>>>HHHtttjjjiii[[[KKKEEEJJJNNNMMM___~~~yyyssskkkeeeccciiivvv{{{ooofffaaabbb\\\TTTPPPPPPQQQQQQOOO????????????>>>===<<<;;;999888777666555444333333111111111111111111111111000000000000000000000000///............---------,,,---......---,,,---...,,,,,,,,,,,,,,,,,,,,,,,,,,,------...............------------............//////333<<>>@@@???===???DDDHHHlllyyybbbUUUQQQMMMJJJIIIIIIHHHGGGHHHFFFHHHMMMUUUcccyyytttfff______ccckkk}}}___NNNLLLGGGEEEEEE@@@@@@???>>>===<<<;;;:::999777777666666666666777777333888888999<<>>>>>>>>===<<<;;;;;;999888777666555444333333111111111111111111222222000000000000000000000000//////.........---------,,,---...---,,,,,,---...,,,,,,,,,,,,,,,,,,,,,,,,,,,---......//////................../////////000,,,...555???JJJRRRVVVVVVTTTSSSQQQQQQYYYgggrrrvvvuuummmgggiiijjjfff```]]]]]]aaappp~~~iiiUUUUUUdddqqqrrrnnnccciiisssyyytttttttttrrrrrruuuzzz{{{qqqeee\\\]]]ZZZWWWWWWXXXYYYZZZZZZ```ffflllnnnllliiiggggggdddhhhlllllllllpppxxx}}}xxxfffYYYQQQNNNWWW```bbb[[[PPPHHHDDD@@@AAABBBAAA?????????@@@BBBSSShhhxxxrrrbbbaaawwwwwwWWWNNNEEECCC@@@???@@@AAAAAA@@@<<>>???EEEJJJsssfffVVVSSSNNNJJJIIIIIIIIIHHHIIIFFFHHHMMMTTT```wwwuuuhhh```]]]\\\bbb}}}bbbOOOMMMJJJGGGGGGCCC@@@@@@???===<<<;;;:::999777777666666666666777777777;;;;;;<<>><<<;;;<<<;;;:::888:::777444333444444333222111111111111000000000000000111000---...111000---//////...---,,,,,,++++++------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......,,,---///000000000///......222999DDDNNNTTTSSSQQQQQQQQQQQQQQQTTTYYY```fffdddfffdddaaaccchhhfff```___ddd~~~uuueeeUUUQQQYYYdddiiiiiieeekkkvvvvvvmmmnnnuuu|||pppeeeaaaiiiiiiiiigggffffffiiikkkuuu{{{yyyuuuxxxyyyyyyyyy{{{lllXXXTTTWWW^^^dddddd[[[MMMBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAMMMZZZhhhyyyaaa]]]jjjwwwsssSSSLLL===HHHGGG???AAA===AAA<<>>===;;;;;;::::::999999888888888888999999:::>>>666<<<<<>>======>>>===;;;999;;;888666555555555444333111111111111000000000000111222111...000333333//////......---,,,,,,++++++------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......---...///000000///......000444;;;EEEOOOUUUUUUTTTOOOOOOOOONNNNNNQQQUUUYYYYYY^^^bbbbbbeeeiiihhhddddddlllrrrlllccc]]]\\\```eeehhhjjjoooyyyvvvnnnoooxxx|||rrrkkkiiimmmooorrrtttuuuwwwyyy{{{{{{ddd[[[]]]```cccbbbZZZNNNEEEAAAAAAAAAAAAAAAAAAAAAAAA@@@KKKVVVbbbrrrvvvbbbccckkktttTTT@@@FFFEEE???BBB===@@@@@@CCCBBBCCCEEECCCPPPjjjyyyiiiZZZTTTRRROOOMMMNNNKKKHHHIIINNNSSS^^^www|||mmmddd\\\ZZZaaawww~~~|||WWWKKKNNNLLLFFFCCCAAA@@@???===<<<;;;::::::999999888888888888999999:::>>>777===>>>NNNfffnnnnnnWWWLLLFFFLLLOOOPPPnnnzzzsssiiibbbbbbhhhwwwxxxkkk```ZZZYYYZZZ[[[>>>>>>>>>???@@@???<<<999;;;999777666666666555444111111111111000000000000///111000...000444444000.........------,,,,,,+++,,,,,,,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------.........///////////////...---333666>>>GGGPPPUUUWWWVVVNNNNNNNNNLLLKKKKKKMMMPPPOOOYYYcccfffggghhhgggdddffftttsssvvvtttkkk___[[[```gggpppvvv~~~}}}sssmmmooozzzzzzwwwuuuvvvtttxxx}}}kkkdddbbb``````]]]WWWMMMFFFBBBBBBAAAAAAAAAAAAAAAAAA???HHHPPPYYYhhh~~~bbbXXX___www```EEEDDDBBB@@@DDD===??????@@@???AAACCCBBB[[[{{{ggg]]]ZZZVVVRRRPPPNNNJJJKKKPPPTTT^^^vvv}}}ppphhh\\\YYY^^^rrryyy___OOONNNLLLHHHEEEBBBAAA???===<<<;;;;;;:::999999888888888888999999999===777>>>???QQQ^^^jjjgggSSSJJJFFFLLLOOOQQQpppzzzrrrhhh```ccchhhxxxuuuggg```^^^___```<<<===>>>@@@@@@???;;;888:::888666666666666444333111111111111000000000///,,,.........000444444000......---------,,,,,,,,,,,,,,,,,,,,,,,,---------------------------------,,,,,,,,,---------......///////////////.........444888@@@IIIPPPUUUVVVVVVPPPPPPOOOMMMKKKJJJLLLMMMOOOZZZgggkkkhhhdddaaaaaacccyyy{{{~~~rrraaaYYY___gggwww}}}}}}uuunnnjjjmmmzzz}}}~~~vvvlllhhhddd```\\\UUUKKKDDDBBBBBBBBBBBBBBBAAAAAAAAA>>>EEELLLRRRaaaxxxiiiYYY___mmmoooKKKCCC@@@@@@EEE===>>>??????>>>AAACCCGGGjjj{{{kkkeee___XXXRRRPPPMMMMMMQQQUUU^^^vvv|||pppggg[[[XXX[[[mmmxxxfffRRRMMMLLLHHHFFFCCCBBB@@@>>>===;;;;;;;;;999999888888888888999999888<<<666>>>@@@SSSzzz]]]nnn___NNNIIIFFFLLLOOOSSStttzzzqqqfff^^^aaafffvvv{{{kkkccccccgggjjj<<<<<<===>>>???>>>:::777888777555555555555333111111111111111000000000///,,,///000///222666555111---------------,,,,,,,,,+++++++++,,,,,,,,,------------------------------,,,,,,,,,---------....../////////.........//////555:::CCCKKKQQQSSSSSSSSSTTTTTTTTTQQQMMMJJJIIIIIIRRR\\\iiinnniiiaaa___```ddd|||nnn```[[[aaaiii}}}wwwoookkkjjjnnn{{{|||wwwoooiiiaaaXXXMMMEEECCCCCCCCCBBBBBBAAAAAAAAA>>>CCCHHHNNN]]]uuuhhhfffddd|||{{{PPPCCC???AAAFFF===???BBBCCCBBBDDDJJJTTT}}}zzzrrrggg___VVVRRRQQQTTTWWW```yyyzzznnncccZZZVVVYYYjjj}}}lllTTTMMMLLLJJJGGGDDDCCCAAA???===<<<;;;;;;999999888888888888999999777;;;666>>>AAATTTyyybbbyyyZZZKKKHHHFFFMMMQQQWWW{{{~~~xxxoooeee]]]\\\aaarrroooiiijjjpppuuu============>>><<<999666777666555555666555222000111111111111000000000000...111222222444888666222------------------------******++++++,,,,,,------------------------------,,,,,,,,,---------.....................///000000666===GGGOOORRRRRRQQQPPPWWWZZZ^^^]]]XXXQQQJJJFFFSSS[[[eeekkkgggaaaaaaeeekkkuuufff\\\]]]eeemmm}}}ssskkkkkkmmmqqq~~~uuujjj]]]QQQHHHDDDDDDCCCCCCBBBAAAAAAAAA===BBBGGGLLLYYYqqqyyygggaaatttUUUDDD@@@BBBEEE>>>@@@@@@DDDBBBCCCNNNaaayyyooobbb\\\XXXYYYZZZccc|||zzzlll```XXXUUUYYYiiiyyypppVVVNNNNNNMMMJJJEEEDDDBBB@@@>>><<<;;;;;;999999888888888888999999888<<<777@@@CCCVVV}}}mmmyyyVVVIIIIIIGGGMMMSSS\\\{{{vvvnnnddd]]]YYY]]]mmmzzzuuuvvv{{{AAA???>>>======<<<999777888777666666777666333111111111111111000000000000---000111000333666444///------------------------)))******+++,,,,,,------........................,,,,,,,,,---------......------------...000111222888AAALLLTTTUUUSSSOOOMMMZZZcccnnntttqqqfffZZZRRRWWWZZZ```eeeddd___aaagggqqq~~~nnn___YYY]]]hhhqqqyyynnnhhhjjjnnnrrr~~~mmm^^^RRRJJJDDDDDDDDDCCCBBBBBBAAAAAA===BBBEEEIIIUUUlllpppdddqqqXXXFFFBBBBBBEEE>>>BBB<<>>===<<<;;;999999888888888888999999;;;???:::BBBFFFYYYxxxsssUUUIIIIIIGGGNNNUUUaaayyyssslllddd^^^XXX[[[jjjDDDBBB???>>>===<<<999888999888777888888777444222111111111111000000000000***---...---///222000+++------------------------))))))***+++,,,,,,------........................,,,,,,,,,---------......---,,,,,,---...000222333:::CCCOOOWWWXXXSSSOOOLLL[[[iii}}}~~~nnnccc\\\[[[]]]bbb```\\\___eeessszzzkkk]]]VVV\\\iiittttttiiidddhhhmmmppp}}}lll\\\PPPIIIEEEEEEDDDCCCBBBBBBAAAAAA===AAADDDGGGRRRhhh}}}eeennnYYYGGGCCCCCCEEE>>>DDD>>>IIIGGGDDDYYYxxx~~~tttjjjdddaaahhhqqqcccUUUTTTYYYjjjvvv\\\SSSTTTTTTRRRFFFEEECCCAAA>>>===<<<;;;999999888888888888999999===BBB===EEEHHH[[[~~~oooUUUIIIJJJHHHNNNVVVdddxxxrrrkkkddd^^^YYY[[[iii@@@@@@???===<<<:::999999:::888666444333222222333111111111111000000000000////////////////////////---------,,,,,,,,,++++++,,,+++***+++---...---,,,---,,,,,,,,,,,,---......//////.........---------///++++++///111//////111@@@FFFNNNSSSSSSPPPMMMKKKYYYkkk~~~ggg[[[]]]aaa```ZZZWWW___jjjsss```\\\[[[\\\mmmtttiiibbbdddkkkrrr|||dddWWWPPPIIIIIIFFFCCCCCCEEEEEEBBB???@@@???@@@EEEMMMZZZooojjjjjjuuuiiiDDDFFFIIIEEEDDDEEEEEEGGG???CCCcccuuullleeeiii}}}|||pppfffWWWTTTRRRgggxxx^^^SSSSSSRRRNNNGGGGGGFFFCCC???<<<:::::::::999888888777888888888:::CCCCCCHHHMMMoooyyyhhhUUUJJJEEEKKKOOOWWWppp~~~xxxssslllddd^^^```bbblll}}}AAA@@@???>>><<<;;;:::999999888666555333333222222111111111111000000000000////////////////////////---------,,,,,,,,,++++++,,,+++***+++---...---,,,---,,,,,,,,,,,,---......//////.........---------...++++++000222222333666CCCIIIPPPSSSRRROOOLLLJJJWWWddduuunnn```aaabbb```[[[ZZZeeerrrlll[[[XXXZZZ___qqqllleeeaaafffmmmttt|||oooeee]]]UUUNNNIIICCCAAAAAABBB@@@???BBB@@@@@@DDDIIITTTgggxxxppphhhiii~~~xxxMMMIIIKKKIIIIIIKKKDDDGGGCCCMMMqqq~~~wwwmmmnnn~~~~~~sssgggXXXTTTQQQeeehhhVVVOOOMMMKKKHHHFFFCCC@@@>>><<<;;;::::::999999888888888888888888??????KKKYYYdddVVVLLLHHHNNNRRRYYYrrr|||vvvqqqkkkbbb\\\^^^aaalllAAA@@@???>>>===<<<;;;:::888777777666555333222111111111111111000000000000////////////////////////------------,,,,,,,,,,,,,,,+++***+++---...---,,,---,,,,,,,,,,,,---.....................------------+++,,,000333333666:::EEEKKKQQQSSSQQQMMMKKKKKKSSSWWWaaaooozzzzzzssskkkfffdddccc___[[[^^^mmm~~~wwwdddUUUUUUZZZcccvvv~~~fffccccccjjjrrrxxx~~~uuulllbbbTTTMMMDDD??????@@@AAAAAACCCAAA@@@BBBDDDLLL\\\kkkzzzlll```lllZZZIIIJJJJJJKKKNNNGGGJJJIII[[[|||tttttt~~~wwwiii[[[VVVRRReeexxx^^^PPPMMMMMMKKKGGGCCCAAAAAAAAA>>><<<::::::999888888888888888888===<<>>===<<<;;;;;;777777777777666333111000111111111111000000000///////////////////////////...------------,,,,,,,,,,,,+++***+++---...---,,,---,,,,,,,,,,,,---.................................+++,,,000222222666<<>>::::::999888888888888999<<>>===<<<;;;;;;777777777777666333111000111111111111000000000///////////////////////////.........---------,,,,,,,,,+++***+++---...---,,,---,,,,,,,,,,,,---......---.....................///------//////000555<<>>EEEQQQyyyiii|||SSSKKKHHHHHHLLLQQQ[[[qqq}}}xxxsssnnnfff]]]VVVSSSYYYiii>>>>>>>>>===<<<;;;;;;;;;888777777666555333222111111111111111000000000000////////////////////////............---------,,,,,,+++***+++---...---,,,---,,,,,,,,,,,,---......---------...............///------///...///666>>>FFFLLLRRRQQQNNNMMMRRRWWWRRRJJJEEEGGGIIIKKKVVVbbbfffaaa[[[VVVVVVbbb|||zzzxxxcccXXXQQQWWWeeettt~~~sssjjjeeejjjnnnpppvvvuuu|||oooZZZSSSIIICCCBBBCCCCCCCCCCCCBBBBBBCCCAAACCCLLLWWWbbbvvveeebbbqqqRRRFFFFFFAAAEEECCCEEEOOOuuuzzz}}}}}}www|||mmm]]]XXXVVVnnnvvvkkk[[[RRRMMMJJJIIIJJJLLLLLLHHHAAA;;;;;;;;;:::999999999999999;;;AAA???CCCKKKsssuuuQQQJJJIIIIIILLLRRR^^^uuuyyyuuuppphhh^^^WWWTTTYYYiii======<<<<<<;;;;;;::::::999888666555333333222222111111111111000000000000////////////////////////............------------,,,+++***+++---...---,,,---,,,,,,,,,,,,---......---------.........//////...---...//////000999CCCIIINNNSSSQQQLLLKKKQQQXXXTTTOOOIIIFFFHHHNNNWWW___ccc^^^XXXUUUVVVccc~~~uuuxxxyyy[[[SSSPPPXXXhhhxxx|||qqqfff```___hhhppptttzzz{{{vvv~~~wwwlllaaaSSSHHHCCCCCCCCCCCCCCCBBBCCCCCCAAA@@@HHHRRR]]]pppoooccciiitttXXXIIIHHH@@@FFF@@@EEETTT}}}wwwuuu|||zzzmmm]]]ZZZZZZuuummmvvvaaaTTTLLLIIIIIIIIIHHHFFFBBB>>><<<;;;;;;:::999999999999:::777???===BBBKKKsssSSSHHHGGGHHHJJJPPP```xxx|||wwwrrrjjj```XXXWWW\\\kkk<<<<<<<<<;;;;;;::::::999:::888666444333222222333111111111111000000000000//////////////////////////////.........---------,,,+++***+++---...---,,,---,,,,,,,,,,,,---......---------.........//////...---...000000333===HHHKKKQQQUUURRRKKKJJJPPPWWW^^^[[[SSSMMMNNNUUU\\\^^^aaa\\\XXXUUUWWWdddsssyyyuuuVVVPPPNNNXXXjjj{{{}}}qqqfff```[[[hhhsssyyywwwlllwww}}}~~~|||~~~ppp]]]NNNFFFDDDEEEEEEDDDCCCCCCCCC@@@???EEENNNZZZlllzzzfffcccggg}}}ZZZJJJHHH@@@FFFBBBHHHZZZxxxtttssszzzxxxmmm```^^^```|||dddwwwjjjYYYPPPKKKKKKIIIFFFAAA???>>>???<<<;;;::::::999999::::::666===;;;BBBKKKsss~~~PPPEEEEEEEEEGGGMMM^^^www}}}yyytttlllaaaZZZZZZ^^^lll??????===<<<;;;::::::999999999888666555333222222222222222222111111111000//////000000000000//////......---------,,,,,,,,,------------------------.........------,,,,,,,,,..................------///...------000777@@@GGGIIIRRRPPPJJJKKKLLLTTTcccmmmnnncccPPPNNN[[[```ZZZ^^^```ZZZPPPTTTkkkvvviiiVVVQQQRRR]]]hhhrrrzzzmmmaaa[[[^^^gggrrr{{{|||```aaa~~~wwwuuuuuu{{{wwwhhhSSSFFFDDDCCCAAADDDCCCAAA@@@AAACCCEEEFFFTTTiiijjj```cccqqqfffEEEDDDHHHCCCIIIDDD```yyyxxxsssqqq|||qqqjjj]]]```vvvnnnoooUUUPPPMMMKKKIIIEEECCCAAA@@@@@@===<<<:::999888999999:::999===>>>CCCCCCmmmwww{{{SSSLLLGGGDDDHHHOOO]]]uuu~~~xxxrrriii^^^WWWWWWYYYggg???>>>===<<<;;;:::::::::999999888666555333222222222222111111111000000000//////000000000000//////.........---------,,,,,,------------------------......---------,,,,,,,,,..............................---...111888@@@GGGOOOUUUPPPHHHIIILLLVVVggghhhWWWYYY\\\XXX___^^^VVVNNNXXXpppuuuhhhVVVQQQTTTaaammmvvv{{{lllaaa\\\\\\fffrrr|||kkk___jjjrrrllljjjsssooobbbQQQFFFEEEEEECCCCCCBBBAAAAAAAAABBBDDDEEEOOOddd{{{wwwgggcccmmmgggGGGCCCGGGCCCGGGEEEdddwwwvvvtttuuuzzzvvvgggZZZaaazzztttXXXQQQNNNLLLIIIFFFCCCAAA@@@@@@===<<<;;;999999999999:::999<<<===BBBDDDoookkk~~~wwwRRRJJJEEEDDDGGGOOO^^^vvv~~~xxxqqqhhh]]]UUUSSSTTTbbb{{{???>>>===<<<;;;:::::::::999888777666555333222222111111111111000000000/////////000000000000//////.........------------,,,------------------------...------------,,,,,,,,,....................................111888AAAGGGTTTXXXOOOFFFHHHMMMYYYlllzzz^^^WWWYYYYYY```\\\SSSOOO^^^xxx{{{sss}}}|||dddSSSPPPVVVggguuu|||xxxggg^^^\\\[[[fffsss}}}~~~xxxccc[[[hhhwwwjjjdddddd```VVVIIIBBBBBBCCCBBBCCCBBBAAAAAAAAABBBDDDDDDJJJ]]]uuupppaaafff{{{rrrNNNEEEFFFEEEGGGJJJmmmttttttttt|||xxxnnnsssxxxvvvjjj]]]hhhyyyZZZQQQPPPNNNKKKGGGDDDAAA@@@???>>>===;;;:::999999:::::::::<<<;;;AAAGGGsssfff{{{vvvTTTGGGEEEDDDGGGOOO```xxxyyyrrrggg[[[SSSNNNNNN\\\vvv>>>>>>===;;;;;;:::::::::888777777555444333222222111111111000000000////////////000000000000//////............------------........................---------------------------------...............---......///222999AAAGGGSSSVVVNNNGGGKKKPPP\\\mmmvvv]]]WWWZZZ\\\___\\\UUUTTTeeeqqqnnnzzzrrr[[[PPPNNNXXXlll{{{qqq```ZZZ[[[ZZZggguuu{{{}}}}}}ssscccTTTSSSggg}}}tttggg[[[VVVNNNFFFBBBCCCDDDDDDCCCBBBBBBAAAAAABBBCCCCCCEEEWWWnnnyyy^^^^^^sssYYYHHHFFFGGGIIIRRRxxx{{{qqqqqquuusssgggggghhhrrrssspppeeeuuu|||\\\QQQRRRPPPLLLHHHDDDBBB@@@@@@???>>><<<;;;::::::::::::;;;<<<:::@@@JJJxxxggg{{{oooPPPFFFEEEEEEHHHQQQccc{{{|||tttiii\\\SSSNNNMMMYYYsss>>>===<<<;;;;;;;;;;;;;;;777777666555444333333222111111111111000000000000//////000000000000////////////.........---------........................---------------------------------.........//////------...000333:::BBBGGGLLLRRRMMMIIIOOOSSSZZZiiitttyyyuuufffZZZYYY[[[\\\]]]]]]ZZZ\\\mmmwwwfffjjj{{{}}}hhhQQQMMMNNN[[[qqqkkk\\\YYY\\\[[[iiixxxrrriii______]]]UUUJJJFFFOOO]]]}}}kkk]]]VVVMMMHHHFFFFFFFFFGGGBBBBBBBBBAAAAAAAAABBBBBBCCCQQQfffyyy___YYYmmmdddJJJFFFIIIIIIWWWqqqooonnntttrrrccc___[[[eee}}}vvvqqqmmm{{{yyy~~~___RRRSSSQQQMMMIIIEEECCCAAAAAA@@@???===;;;:::::::::;;;;;;<<<:::@@@LLL}}}dddwwwdddHHHEEEFFFGGGIIIRRRfff~~~yyymmm___UUURRROOOZZZttt======<<<;;;;;;;;;;;;;;;666666555555444333333222222222222222111111111000//////000000000000///////////////.........------........................,,,,,,,,,------------...,,,,,,------.../////////,,,---///000444;;;BBBHHHGGGNNNLLLJJJPPPRRRUUU```fffeee___YYYXXX\\\\\\ZZZ\\\]]]\\\aaatttppp^^^iii|||yyyaaaJJJLLLPPP```vvv|||hhh[[[ZZZ^^^^^^lll|||nnnaaaUUUQQQLLLIIIEEECCCIIIQQQhhhoooaaaVVVKKKFFFDDDBBBBBBCCCBBBBBBBBBBBBAAAAAAAAAAAABBBLLL^^^qqqgggYYYhhh~~~pppNNNFFFIIIHHH\\\zzztttooolllttt~~~jjj]]]XXXQQQ]]]xxx{{{pppuuuqqqqqqfffVVVSSSQQQNNNJJJGGGDDDCCCBBBAAA@@@>>><<<;;;::::::;;;;;;===;;;@@@LLLeeexxxaaaHHHDDDGGGHHHIIIRRRggg}}}qqqbbbWWWUUURRR]]]www======<<<;;;;;;;;;;;;<<<666555555444444333333222333333333333222222222222//////000000000000//////////////////....................................,,,,,,,,,---------......,,,,,,------...//////000,,,---///111555;;;CCCHHHGGGNNNKKKIIIOOONNNNNNVVVYYYUUUPPPOOOUUU]]]___\\\]]][[[YYYbbb{{{kkk]]]lll}}}ttt[[[IIILLLTTTfffzzzxxxeeeYYYYYY\\\aaappptttbbbZZZPPPJJJEEEEEEEEEDDDGGGKKKUUU~~~zzzjjj\\\NNNGGGCCC???>>>@@@BBBBBBBBBBBBAAAAAA@@@@@@BBBHHHUUUgggvvvttt]]]eeennnWWWHHHIIIKKKbbbuuuvvvpppkkksssssskkk[[[SSSPPPKKKZZZxxxwwwyyylllqqq]]]SSSQQQNNNJJJGGGFFFEEEDDDBBBAAA???===;;;;;;;;;;;;:::>>><<<@@@LLLlll~~~bbbKKKBBBFFFHHHGGGQQQggg~~~sssdddYYYUUURRR^^^yyy======<<<;;;;;;;;;<<<<<<555555555444444333333333444444444333333333222222//////000000000000//////000/////////............////////////////////////,,,,,,,,,------.........,,,,,,------...///000000+++---///111555<<>>===<<<<<<;;;;;;<<<:::999777555333222111111333222111111000000111111000000000000000000000000////////////............------............------..................------------------------------000...---000777???FFFJJJMMMFFFCCCHHHNNNPPPQQQRRRDDD>>>AAAHHHUUUkkksssfffoooWWWSSSiii^^^fffxxxyyyjjjOOOJJJKKKZZZmmmzzz~~~uuubbbYYYYYY\\\cccrrr|||uuu}}}}}}vvv\\\NNNKKKFFFAAAAAAAAABBBBBBCCCCCCCCCIII[[[qqqccc___QQQDDDBBB@@@CCCCCCBBBAAA@@@>>>>>>===CCCDDDIIITTTbbbsssttt```iiisssfffDDDOOOQQQdddyyykkknnngggmmmjjj|||}}}}}}rrriiiiiiiiilllkkk]]]OOOLLLOOO```{{{xxxzzz^^^WWWWWWTTTMMMJJJKKKJJJGGGLLLJJJGGGBBB<<<999999:::>>>@@@BBB???OOOzzz]]]GGGDDDCCCCCCFFFQQQfff}}}xxxeeeWWWUUURRR```}}}???>>>===<<<<<<;;;;;;<<<888777666555444333333333333222111111000000111111////////////////////////////////////............------............------..................------------------------------111///...222888AAAGGGJJJMMMFFFCCCJJJQQQTTTSSSSSSOOOEEECCCLLL^^^zzz~~~qqq[[[WWWjjj|||bbbooo}}}wwweeeMMMMMMNNN\\\nnn{{{vvvbbbXXXXXXZZZdddrrr{{{www~~~nnn^^^MMMFFFDDD===AAAAAAAAAAAABBBBBBBBBBBBDDDQQQwww|||pppkkkZZZKKKHHHGGGCCCCCCBBBAAA@@@???>>>>>>??????EEEOOO[[[kkkfffcccjjjkkkIIIKKKPPPdddsssfffkkkhhhkkkjjjzzzeeeXXXUUUfff~~~~~~~~~```XXXYYYWWWQQQOOOOOONNNJJJNNNLLLIIIDDD>>>;;;;;;<<<===???BBBAAAQQQzzzYYYDDDDDDCCCCCCGGGRRRfff}}}{{{hhhYYYSSSQQQ```???>>>===<<<<<<;;;;;;<<<666666555444444444444555333222111111000000111111////////////////////////////////////............------............------------------------......------------------------000///000444;;;CCCJJJMMMLLLDDDAAAIIITTTYYYXXXWWWXXXHHHDDDRRRiiiooo[[[YYYjjj}}}wwwfffyyyttt^^^KKKOOORRR^^^nnn{{{rrraaaWWWWWWZZZeeesss}}}iiiTTTKKKEEEFFFEEE===AAAAAAAAAAAA@@@@@@@@@@@@DDDJJJhhhyyysss^^^LLLGGGFFFCCCCCCBBBAAA@@@???>>>>>>??????DDDMMMWWWfff|||jjjdddhhhgggMMMGGGPPPdddnnnaaaffffffiiilllyyycccZZZlll~~~hhhXXX[[[ZZZVVVTTTTTTRRRNNNMMMLLLIIIDDD???<<<<<<======???CCCCCCTTT}}}WWWDDDCCCCCCCCCGGGRRRfff}}}lll^^^RRRQQQaaa???>>>===<<<<<<;;;;;;<<<777666555444444444444444333222111111000000111111////////////////////////////////////............------............------,,,,,,------------......------------..................000666???HHHNNNQQQKKKBBB???IIIYYYcccgggiii^^^IIIEEEUUUlllhhhWWWXXXiiiyyyttthhh~~~qqq[[[IIIOOOTTT```nnn{{{xxxiii\\\WWWYYY^^^hhhuuuqqqXXXJJJGGGEEEIIIJJJBBBAAAAAAAAA@@@@@@?????????DDDEEE\\\|||xxxaaaKKKDDDAAACCCBBBBBBAAA@@@@@@??????>>>???BBBIIIQQQ^^^tttrrriiiiii[[[NNNGGGPPPfffjjj___bbbcccgggnnnzzzeee]]]nnnmmmXXX[[[\\\YYYXXXXXXTTTOOOKKKIIIFFFBBB===;;;;;;<<<<<>>===<<<<<<;;;;;;<<<999888777555333222222222333222111111000000111111........................////////////............------............------,,,,,,,,,,,,------......---------....../////////+++,,,000888BBBKKKQQQTTTJJJBBBAAAPPPeeewwwoooSSSHHHVVViiizzzwwwaaaTTTXXXkkk{{{qqqfff|||nnnYYYGGGKKKUUUaaaooozzz}}}lllaaaYYYVVV[[[bbblllxxxvvv]]]MMMGGGGGGCCCCCCFFFAAAAAAAAAAAA@@@@@@?????????AAAAAATTTyyyyyyzzzfffPPPGGGDDDCCCBBBBBBAAAAAA@@@@@@@@@:::;;;===BBBGGGSSShhh|||~~~iiieeevvv~~~[[[PPPHHHRRRjjjgggaaaaaa```fffqqqmmmaaa```ppphhhVVVZZZ\\\YYYXXXXXXTTTOOOIIIHHHEEEAAA===:::;;;<<<<<<>>>BBBEEEXXXXXXJJJBBBCCCDDDHHHSSSfff}}}ttteeeWWWUUUddd???>>>===<<<<<<;;;;;;<<<:::999777555333222111111333222111111000000111111........................////////////............------............------++++++,,,,,,------......---------...//////000000+++,,,111:::DDDLLLRRRTTTHHHDDDGGGXXXooo___OOOZZZiiiuuu{{{www]]]SSS[[[rrrkkkbbbxxx|||iiiVVVFFFIIIUUUdddrrr{{{zzzggg]]]YYYWWW\\\dddppp|||hhhVVVKKKKKKKKKBBB@@@BBB???AAAAAAAAAAAA@@@@@@@@@@@@CCCCCCTTTzzzppppppssscccQQQIIIFFFCCCBBBBBBBBBAAAAAAAAA@@@<<<<<<>>>@@@CCCNNNcccwwwkkkeeerrrnnnTTTIIITTTpppvvvcccaaa``````hhhtttyyy```^^^ddduuu^^^UUUYYYZZZXXXVVVVVVRRRMMMIIIHHHEEEAAA>>><<<===>>>;;;===AAADDDXXX~~~|||TTTHHHBBBCCCDDDIIITTTggg|||uuufffXXXUUUbbb???>>>===<<<<<<;;;;;;<<<888888666555444333222222333222111111000000111111........................////////////............------............------***++++++,,,------......---------...///000000000---///444;;;DDDKKKOOOPPPFFFEEEJJJYYYkkk|||~~~___UUUfffsssxxx{{{xxx[[[RRR]]]www{{{ccc^^^uuuwwwaaaQQQDDDJJJVVVgggvvv}}}wwwbbb[[[YYYWWW]]]fffuuufff[[[PPPOOOOOOEEEBBBDDDAAAAAAAAAAAAAAABBBBBBBBBBBBEEEFFFTTTssstttmmmmmm^^^MMMGGGDDDBBBBBBBBBBBBBBBAAAAAAAAA???@@@AAAAAABBBLLLaaauuupppgggqqqWWWLLLVVVxxxrrr```^^^\\\^^^jjjvvvrrrZZZ[[[fffyyy```VVVYYYYYYVVVTTTTTTQQQLLLGGGFFFDDD@@@<<<;;;<<<===<<<<<>>===<<<<<<;;;;;;<<<666666555444444444444444333222222111000111111111........................000/////////............---..................---******+++,,,,,,---......---------...///000000111000222666<<>>>>>>>>>>>FFF\\\ppppppfffnnnYYYOOOWWW}}}ttt___[[[XXX\\\lllwwwrrrYYYZZZeeezzzjjjWWWYYYYYYUUUSSSSSSPPPLLLDDDCCCAAA===:::888999;;;<<<;;;>>>@@@VVVxxxOOOFFFAAABBBDDDIIITTTggg|||tttdddUUUQQQ\\\yyyCCC@@@===<<<<<<===<<<;;;777666555444333222222222222222111111000/////////000///...///000///...,,,........................,,,,,,,,,---------......,,,,,,,,,---------......---------............///---...333;;;EEEKKKMMMLLLEEEDDDIIIRRRWWWWWWZZZ___SSSPPP^^^qqq|||~~~nnn\\\NNNiii}}}yyy```RRR___qqqmmmTTTHHHKKKKKKXXXiiizzzooo___XXXVVVXXXbbbooo|||~~~qqqgggeeebbb^^^```ooo~~~jjjbbbXXXPPPKKKIIIGGGEEE???BBBCCCBBB@@@???BBBFFFDDDDDDPPPfffvvvcccNNNDDDEEEEEECCCCCCDDDBBB???@@@DDD@@@BBB>>>>>>CCCEEETTTnnnxxxiiijjjkkkQQQ```~~~sssbbb^^^[[[\\\iii{{{|||oooVVVUUUhhh~~~lllZZZWWWUUUUUUVVVTTTPPPLLLGGGEEEBBB???===;;;;;;:::999@@@???>>>[[[xxxLLLIII@@@AAACCCGGGPPPccczzzyyyeee[[[PPPQQQiiiBBB@@@===<<<<<<<<<;;;:::888777666444333333222222222222111111000/////////000///...///000000...,,,...............---------,,,,,,,,,---------......,,,,,,,,,---------......---------............///...000555>>>GGGNNNOOONNNGGGFFFIIINNNOOOLLLLLLPPPNNNMMM\\\nnnwww|||xxxjjjYYYQQQooosssYYYOOO^^^nnnhhhQQQFFFIIIJJJZZZjjjzzz~~~mmm]]]WWWVVVXXXbbbooo}}}}}}ttthhh^^^TTTRRRNNNQQQcccwwwnnnbbbWWWQQQNNNKKKIIIFFFGGGGGGFFFDDDCCCCCCDDDFFFGGGRRReeewwwmmmUUUHHHFFFEEEBBBBBBDDDBBB@@@@@@DDDAAACCC???>>>BBBDDDQQQkkknnniii|||\\\aaakkk```___]]]^^^mmmxxxppp}}}gggUUUWWWjjjtttyyy___\\\YYYXXXXXXVVVQQQLLLGGGEEEBBB???===;;;;;;;;;===CCCBBBDDDcccuuuKKKFFFBBBCCCEEEHHHRRRddd|||yyydddXXXNNNOOOccc{{{@@@>>><<<;;;<<<<<<;;;:::888888666555444333333333222222111111000/////////000///...///000000...,,,//////.........---------,,,,,,,,,---------......,,,,,,,,,---------......---------............//////111777@@@JJJPPPQQQPPPMMMMMMOOORRRPPPJJJHHHJJJGGGIIIZZZkkkpppsssqqqeeeUUUUUUwwwkkkRRRLLL^^^jjjaaaLLLBBBEEEJJJ[[[kkk{{{zzziiiZZZVVVUUUXXXcccppp|||tttkkk___VVVLLLJJJFFFHHH\\\zzzmmmaaaZZZVVVTTTTTTLLLJJJHHHGGGFFFFFFEEEDDDHHHLLLXXXhhhtttvvv]]]MMMHHHFFFBBBAAACCCCCC@@@AAADDDBBBDDD???>>>AAABBBOOOggg~~~sssfffuuu]]]\\\yyybbb]]]___^^^```qqqzzzfffgggrrrzzzuuuiiiYYYQQQWWWkkkjjj}}}ccc```]]][[[ZZZWWWRRRMMMGGGEEEBBB???<<<;;;;;;;;;>>>CCCCCCIIImmmtttLLLEEEDDDEEEFFFIIISSSeee|||xxxbbbVVVMMMLLL[[[nnn|||???===;;;;;;<<<<<<:::999999888777666555444444444222222111111000////////////......///000000...---/////////...------,,,,,,,,,,,,,,,---------......,,,,,,,,,---------......---------............//////111888BBBLLLRRRQQQOOOLLLNNNSSSVVVWWWSSSPPPNNNDDDHHH[[[jjjlllnnnlllbbbRRR[[[~~~gggSSSNNNaaafffWWWGGG???AAAIIIZZZkkk|||vvvfffYYYUUUWWW[[[ffftttvvvnnnggg]]]VVVMMMKKKGGGIII]]]zzznnnfffbbbaaaaaaUUUPPPIIIFFFGGGHHHHHHGGGHHHOOO```rrr|||}}}eeeSSSMMMIIIDDDAAACCCCCCAAAAAACCCAAACCC???>>>AAAAAANNNfff{{{ssseeerrrWWWVVVqqqsssZZZZZZ]]]\\\```ssslll```aaaggg[[[UUUNNNMMMXXXmmmhhhtttzzzccc```]]]\\\[[[XXXSSSNNNHHHEEEBBB>>><<<;;;;;;<<<;;;???@@@KKKtttvvvPPPGGGDDDEEEFFFIIIRRRddd{{{wwwbbbVVVMMMLLLUUUaaammm>>>===;;;<<<<<<<<<:::999999888777666555444444444222222111111000////////////......///000000///---//////.........---------,,,,,,,,,---------......,,,,,,,,,---------......---------............///...111888CCCMMMQQQPPPMMMFFFJJJQQQXXX^^^^^^XXXQQQFFFKKK^^^mmmmmmnnnlllbbbRRRaaafff[[[UUUiiidddNNNDDD??????IIIXXXkkk~~~rrrdddWWWVVVYYY^^^jjjxxx~~~rrrlllggg___YYYKKKJJJFFFIII___yyyrrrooonnnhhh___UUUMMMKKKKKKJJJIIIHHHRRRggg|||ooo^^^VVVOOOHHHDDDDDDDDDBBBAAACCC@@@BBB???>>>BBBBBBOOOggg|||qqqdddsssYYYUUUkkklllVVVXXXYYYXXX___ttt}}}eeeZZZXXXQQQNNNKKKPPP^^^uuunnnqqqwwwaaa^^^[[[ZZZZZZXXXSSSOOOHHHFFFAAA>>>;;;;;;;;;<<<999===???LLLyyyxxxPPPEEECCCDDDEEEGGGPPPaaaxxxvvvcccXXXQQQMMMQQQWWWaaauuu>>>===<<<=========;;;999888888666555444333333333222222111111000/////////......---...000111///...........................,,,,,,,,,---------......,,,,,,,,,---------......---------............///...222999DDDMMMPPPMMMJJJGGGLLLUUUbbbooossshhh[[[LLLPPPcccrrrrrrrrrnnncccTTThhhgggdddcccssscccGGGCCCAAA>>>IIIVVVjjjooo```VVVVVVZZZ```mmm{{{}}}tttooojjjccc\\\LLLJJJGGGLLLeee}}}zzz~~~vvvjjj___VVVQQQOOOMMMMMMWWWmmm|||mmmeeeYYYQQQJJJIIIHHHEEECCCCCC@@@BBB??????CCCCCCOOOggg}}}sssfffttt]]]RRRbbbhhhTTTVVVVVVWWWaaaxxxqqqYYYNNNRRROOONNNWWWjjjzzzwwwaaa^^^[[[[[[[[[YYYTTTOOOIIIFFFAAA===;;;:::<<<===;;;???@@@NNN|||yyyMMMBBBBBBCCCDDDFFFNNN___vvvxxxyyyxxxfff]]]TTTOOOOOOQQQWWWjjj~~~>>>======>>>???>>><<<:::888777666444333333222222222222111111000/////////...------...000111///...,,,,,,------.../////////,,,,,,,,,---------......,,,,,,,,,---------......---------............///000444;;;EEENNNPPPLLLHHHKKKPPP\\\oookkkRRRUUUgggvvvwwwwwwrrreeeVVVooofffiiiqqq~~~cccBBBDDDDDD???IIIUUUkkkjjj]]]SSSUUUZZZaaannn||||||wwwqqqggg___UUUPPPJJJOOOjjj|||qqqeee[[[VVVSSSWWWaaawwwzzzttteee[[[SSSPPPNNNJJJFFFEEEBBBEEEBBBAAADDDCCCNNNeee~~~zzzhhhttt\\\OOO\\\dddRRRUUUTTTXXXgggaaaPPPQQQNNNPPP^^^uuueeebbb___^^^]]]ZZZUUUPPPIIIFFFAAA===::::::<<<======AAAAAALLLxxx}}}NNNEEEBBBCCCDDDFFFMMM^^^uuuxxxqqqjjjjjjyyy|||iii```WWWPPPNNNMMMPPP```rrr>>>======>>>@@@???===;;;777666555444333222222222222222111111000/////////...------...000111000...+++,,,,,,---...///000000,,,,,,,,,---------......,,,,,,,,,---------......---------.........//////222555===GGGOOOPPPLLLGGGIIIOOO]]]uuuwwwVVVXXXiiixxx{{{zzzttteeeXXXtttdddjjjzzzccc???EEEGGG???IIIUUUkkkhhhZZZQQQTTTYYYaaannn|||wwwkkkbbb[[[SSSIIIMMMiii|||oooccc\\\YYYaaaiii~~~mmmbbbXXXUUURRRMMMIIIGGGEEEGGGDDDBBBDDDBBBLLLcccjjjrrr[[[RRR^^^aaaQQQUUUTTTZZZmmmlllWWWNNNKKKOOOaaazzzjjjgggcccaaa___\\\VVVQQQIIIFFFAAA===::::::<<<===>>>AAA@@@IIIsssRRRKKKCCCDDDDDDFFFNNN___uuusssmmmfffcccqqqkkkbbbXXXPPPNNNKKKLLLZZZjjj@@@???>>>>>>>>>>>><<<::::::888777555444444444444111111111000//////............////////////............//////......---,,,------------------------///,,,******---//////---////////////////////////...777AAAHHHNNNRRRNNNGGGCCCKKKWWWmmmZZZ]]]dddooo|||wwwjjjaaa}}}hhhkkk___HHHDDDCCCJJJEEEVVVeeeuuu```ZZZTTTSSSZZZgggttt|||~~~yyyggg```SSSIIIRRRmmm}}}uuunnnlllooonnnwww{{{uuupppggg___YYYSSSKKKGGGGGGGGGHHHEEEEEEHHHEEENNNccc~~~kkkmmmZZZUUUfff}}}cccWWWSSSRRRVVVsss___ZZZMMMUUUlll~~~oooccc```bbb^^^^^^ZZZLLLHHHDDD???<<<;;;;;;;;;:::===>>>999GGGdddzzzvvv]]]III@@@BBBCCCEEENNN```uuutttoooeee]]]gggzzzkkkfff]]]SSSNNNLLLMMMTTT[[[yyy???>>>===>>>???>>><<<:::999888666555444333444444444444333222111111111111......////////////............//////......---,,,------------------------///,,,***+++---///...---........................---555@@@IIIRRRVVVRRRJJJGGGMMMWWWgggtttYYY___iiisss}}}~~~rrreeebbbggglll\\\DDD@@@???GGGCCCTTTcccrrr^^^YYYSSSTTT\\\iiiuuu}}}qqqeeeUUUIIIRRRmmm~~~|||}}}tttnnnggg```YYYVVVRRRKKKHHHHHHEEEGGGCCCCCCFFFDDDLLLaaa}}}ooolll{{{```XXXjjjzzzaaaWWWTTTTTTYYYvvvqqq[[[MMMVVVpppnnnbbbaaaccc______[[[NNNGGGDDD???<<<;;;;;;;;;:::;;;@@@<<>>======>>>??????===<<<999888666444333333444444555444222000///000111222......////////////............//////......---,,,------------------------...,,,++++++---......---------------------------...666@@@JJJUUUYYYSSSIIIEEEJJJPPPXXXeeennnhhhZZZVVVaaannnvvvzzzvvvjjj^^^ccc{{{ccckkkZZZCCC>>><<>><<<;;;;;;;;;;;;999AAA???CCCMMMxxxkkkOOODDDCCCBBBCCCIIIYYYoooyyyooobbbVVVZZZggg|||nnncccXXXQQQMMMKKKNNNRRRkkkyyy======<<<===??????>>><<<999888666444333333333444333111...,,,+++,,,...///......////////////...............///......---,,,---------------------------,,,,,,,,,---.........------------------------111888AAALLLWWW[[[TTTIIICCCHHHKKKMMMQQQTTTOOOGGGSSSaaaoootttssslllaaaWWWbbbsss]]]iii~~~|||XXXDDDAAA===DDDCCCRRRbbb~~~kkkUUUSSSRRRVVVaaaooo{{{vvvaaaQQQ[[[xxxxxxmmmgggccc^^^ZZZYYYVVVNNNHHHGGGDDDFFFBBBAAADDDAAAIII^^^zzz|||jjjkkk|||yyybbbxxxttt^^^VVVUUUVVV\\\zzzuuufffqqqwwwnnnkkksss}}}qqqzzzkkkbbbdddgggcccbbb^^^RRREEEBBB>>>;;;;;;<<<<<<;;;888AAA???CCCJJJsssaaaLLLDDDBBBAAAAAAEEESSSiii|||~~~ssseeeXXXYYYbbbvvvjjj]]]VVVQQQNNNNNNQQQeeettt======<<<===??????>>><<<888777555444333333333333111///---******+++,,,.........////////////...............///......---,,,------------------------+++,,,---------------...........................222:::DDDPPP[[[```ZZZQQQHHHLLLNNNMMMLLLKKKHHHDDDQQQ___mmmpppkkkddd[[[SSSaaalllYYYgggxxxvvvUUUEEECCC<<>>======>>>??????===<<<888777555333222222333333222111///---,,,---...///......////////////............//////......---,,,------------------------***,,,......---,,,---...////////////////////////000:::GGGRRR\\\cccbbb\\\IIIMMMPPPQQQOOOKKKGGGEEEPPP^^^lllooojjjcccZZZSSSbbbjjjXXXhhhvvvrrrQQQCCCAAA:::@@@AAAWWWgggjjjRRRPPPQQQWWWdddsssmmm^^^jjjvvvoooccc___\\\\\\YYYSSSNNNMMMGGGIIIDDDDDDFFFCCCKKK```yyyjjjgggyyypppttt___WWWUUUUUUZZZwwwwwwpppvvvyyytttvvvvvvkkkjjjsss~~~qqqpppmmmgggkkkmmmfffbbb]]]PPPCCC@@@<<<:::;;;<<<===<<<>>>@@@;;;AAAHHHnnnUUUNNNGGGCCCCCCEEEFFFNNNddd{{{wwwiii]]]XXXZZZxxxvvvdddYYYSSSNNNLLLMMMZZZjjj???>>>===>>>???>>><<<:::888777555333222222222333222222111000////////////......////////////............//////......---,,,------------------------))),,,//////---,,,---...........................000;;;HHHPPPWWW\\\^^^\\\KKKNNNSSSVVVTTTOOOJJJGGGOOO^^^nnnsssppphhh]]]TTTeeekkk\\\mmm~~~vvvRRRCCC@@@888@@@DDDXXXhhhjjjRRRPPPPPPVVVccctttxxxjjjuuu~~~uuujjjddd```___\\\UUUPPPOOOHHHIIIEEEDDDFFFCCCJJJ___yyyjjjjjj}}}lllsss^^^VVVVVVVVV[[[xxxpppcccggg{{{|||ppphhhddd]]]]]]hhhuuuxxxmmmjjjrrr}}}{{{ppppppjjjnnnpppgggaaa[[[NNNBBB???;;;:::;;;<<<======;;;???<<>>>>>>>>>>><<<:::888777555333222222222333111111111000//////............////////////............//////......---,,,------------------------))),,,//////---,,,---...------------------------000<<>>;;;:::;;;<<<======666======DDDFFFhhhhhhIIIEEEBBBDDDIIIIIINNNccc{{{qqqddd\\\XXX^^^sssbbbYYYQQQNNNMMMLLL\\\uuu???>>>======>>>===;;;999>>>;;;666444444555555444000111222222000///////////////000000///...------......//////......---,,,------------------------///......---...///000000000///......///111333444777===FFFLLLLLLIIIJJJMMM\\\gggttt}}}xxxcccOOOSSS^^^lllvvvyyysssfff[[[kkkjjjmmmeeeDDD<<<>>>@@@GGGVVVmmm|||gggOOONNNOOOUUUaaappp}}}}}}rrrhhhgggfff^^^SSSLLLMMMKKKEEEGGGJJJEEEJJJ^^^~~~qqqnnnzzzaaaiiioooZZZPPPSSS[[[___uuuxxxaaaZZZrrr|||jjj\\\UUUSSSPPPLLLMMMRRRTTT[[[rrr{{{oooiiisss{{{mmmpppqqqlllggg```TTTJJJ>>>===<<<;;;;;;;;;;;;;;;:::@@@>>>BBBFFFkkkkkkNNNDDD@@@AAAEEEHHHOOOaaavvvvvvjjj```[[[eee|||eeeYYYSSSMMMJJJQQQWWWkkk???>>>======>>>===;;;999===:::666333333444444444000111111000///.../////////////////////...------......//////......---,,,---------------------------...............------......//////000000000000333:::EEEKKKKKKIIIHHHJJJhhhwww```SSS[[[fffnnnooojjjaaaZZZllliiikkkcccDDD===???AAAGGGYYYpppvvvbbbQQQOOOPPPUUUaaaooo{{{zzzmmmiiifff___VVVQQQLLLIIIBBBDDDKKKHHHLLL]]]yyypppmmmyyy}}}\\\eeennnYYYOOOSSS]]]bbbyyyvvvdddbbbttt|||jjj\\\TTTVVVOOOMMMOOOPPPSSSeeeyyyzzzoooiiittt}}}mmmqqqrrrmmmggg___TTTIII======<<<;;;;;;;;;;;;;;;:::???<<>>======>>>===;;;999;;;888555333333333333333111000///.........///000///////////////......---......//////......---,,,------------------------,,,------......---,,,+++,,,---///000000///...---111:::FFFNNNOOOMMMJJJIIIjjj~~~hhhSSSZZZbbbhhhhhhccc^^^[[[sssfffeeezzz~~~^^^CCC>>>???@@@GGG]]]sssppp\\\QQQPPPPPPVVVaaannnyyy{{{tttuuu~~~tttlllhhhaaaZZZXXXLLLKKKDDDEEEKKKIIIMMM^^^tttrrrnnnyyyxxx]]]hhhlllXXXOOOSSS]]]ddd|||qqqfffjjj|||mmm___aaaXXXQQQPPPNNNNNNWWWcccxxxxxxnnnjjjtttnnnrrrsssmmmfff]]]RRRHHH===<<<;;;;;;;;;;;;;;;;;;;;;>>>;;;CCCJJJnnnqqqPPPFFFAAA@@@CCCEEEKKK^^^sssyyynnngggjjjwwwdddXXXPPPJJJNNNRRRddd???>>>======>>>===;;;999999777444222222333222222333111///...///000111222...///////////////...............///......---,,,------------------------,,,,,,,,,,,,---...///000//////////////////......222>>>KKKSSSVVVTTTPPPJJJ\\\rrr\\\RRRYYYcccjjjhhhbbb___```|||aaa___rrrvvvXXXAAA>>>>>>???FFF___uuummmYYYOOONNNOOOVVVaaaooozzzzzznnnbbb]]]^^^hhhyyyyyyqqqkkkddd^^^[[[QQQUUUPPPKKKLLLHHHNNN```tttsssoooyyydddqqqzzzzzzmmmYYYOOORRR[[[bbb{{{jjjgggpppssslllaaaWWWTTTRRRPPPRRRVVV___vvvxxxnnnlllvvvooossstttmmmddd[[[PPPFFF<<<<<<;;;::::::;;;;;;;;;===>>>;;;EEELLLnnnvvv{{{wwwQQQHHHBBB@@@BBBBBBHHH[[[pppxxxqqqrrriiiZZZQQQKKKMMMPPPaaa|||???>>>======>>>===;;;999888666333222333333222111555333000///111333444333......///////////////............///......---,,,---------------------------,,,******,,,///444666333222///------///111222333AAAOOOVVVZZZZZZSSSJJJMMM```pppuuu{{{}}}gggKKKNNNWWWeeepppnnndddaaaccc```^^^qqq~~~pppRRR>>>===<<<<<>>======>>>===;;;999777555444333444444333111666333000111444666555333---...//////////////////......//////......---,,,---------------------------,,,+++***,,,000444777555222///,,,,,,///333555333AAAOOOUUUZZZZZZRRRGGGJJJVVV^^^___^^^]]]SSSFFFLLLVVViiivvvrrreee```dddaaa```vvvnnnOOO======;;;;;;CCCZZZtttkkkXXXJJJJJJMMMUUUbbbqqq|||wwwkkkdddYYYWWWWWWYYYZZZ]]]gggqqq~~~vvvkkkbbb___]]]hhheeeYYYPPPKKKSSSfffzzzooohhhqqqeeevvvzzz~~~kkkZZZOOONNNRRRWWWooovvvjjjtttxxxnnnccc\\\YYYWWWSSSPPPPPPQQQ\\\vvvvvvmmmmmmwwwtttnnnssstttlll___TTTIIIAAA:::::::::::::::;;;;;;<<<>>>???>>>HHHJJJcccuuufffvvvVVVHHHCCCAAABBBAAADDDTTTggg}}}~~~hhhYYYOOOOOOOOO]]]yyy???>>>======>>>===;;;999777666444444555555333222555111///111555777444111------...///////////////......//////......---,,,------------------------,,,,,,,,,---...///000111111000...,,,---///222444333BBBOOOTTTYYY[[[RRRDDDLLLNNNRRRUUUSSSNNNJJJGGGPPP[[[nnn|||uuueee___eee______uuuoooOOO===>>>;;;;;;DDDWWWrrr~~~gggTTTJJJJJJMMMVVVbbbppp{{{sssiiidddddd]]]]]]```dddhhhmmmyyyzzznnnfffccc]]]eee```VVVTTTSSSYYYgggzzznnngggooojjjxxxzzzhhhXXXNNNLLLOOORRRjjjtttmmmyyywwwkkk```[[[XXXTTTPPPQQQMMMQQQccc}}}tttjjjkkkttt|||kkkmmmssstttkkk]]]QQQFFF>>>::::::999999::::::;;;<<<;;;>>>>>>GGGDDDYYYlllrrrZZZGGGBBBAAACCCAAACCCQQQbbb|||tttaaaSSSNNNMMM[[[www???>>>======>>>===;;;999777666444555555555444222333000...111555777333000------...///000000//////......//////......---,,,------------------------***,,,...000000...,,,***------------...000111222555DDDQQQUUUYYY\\\RRRDDDLLLHHHJJJQQQQQQJJJFFFHHHVVVaaatttxxxeee```ggg[[[\\\qqqqqqPPP>>>???<<<;;;FFFVVVqqq|||dddPPPLLLLLLNNNVVVbbboooyyy~~~wwwhhhaaaccchhhddddddhhhnnnuuu|||ppphhhfffZZZ```YYYRRRVVVZZZ^^^hhhxxxqqqiiiqqqrrr}}}yyyeeeWWWNNNLLLNNNPPPhhhsssmmmyyyrrreee]]]YYYUUUQQQJJJFFFGGGSSSfff|||rrrhhhiiirrryyykkklllrrrtttjjj\\\OOODDD===999999999999::::::;;;<<<999===>>>FFF@@@RRRsssqqq]]]FFFBBBBBBDDDBBBBBBOOO```{{{mmm\\\MMMLLLYYYuuu@@@@@@>>>===<<<<<<<<<<<<777777555444333222222222222222333444444222111000,,,---///000000///---,,,........................***+++,,,,,,------,,,,,,---------............///,,,---/////////000222444;;;FFFPPPUUU[[[^^^XXXOOOJJJPPPSSSPPPMMMLLLJJJFFFVVViiiyyyxxxccc^^^pppWWW\\\qqq|||UUUBBB===666???CCC[[[qqqzzzcccQQQKKKLLLQQQZZZaaahhhsss~~~sssjjjhhhfffeeeeeeiiiiiipppvvvnnnhhhddd]]]ZZZ[[[ZZZZZZdddqqqqqqkkkrrr~~~vvvqqqoooTTTKKKNNNJJJOOOaaa}}}xxxwwwjjjccc]]]WWWRRRMMMLLLLLLNNNSSS```xxxrrrgggjjjttt{{{~~~lllssssssooodddTTTFFF>>><<<::::::999999::::::;;;<<<;;;>>>>>>???BBBQQQxxxrrrhhhOOOCCC>>>CCCEEEDDDNNN]]]www}}}cccUUUPPPVVVlll@@@@@@???======<<<<<<<<<777666555444333222222222222222222222222111111000---...000111111000...---........................,,,,,,---............------------............///---...////////////111333;;;FFFPPPUUUXXXZZZWWWPPPTTTXXX[[[[[[ZZZXXXPPPGGGUUUgggvvv|||ttt___[[[mmmWWWZZZlll|||VVVDDD@@@999BBBFFFXXXooozzzaaaNNNJJJKKKQQQZZZbbbiiittt~~~~~~qqqkkkiiiggggggiiirrrsssyyyxxxqqqhhhaaa^^^```______hhhuuunnnffflllyyysssrrrWWWJJJKKKGGGKKK\\\{{{}}}rrrjjjddd]]]WWWTTTPPPMMMKKKLLLVVVkkk}}}nnncccdddmmmssstttuuuvvvyyyvvv{{{jjjrrrrrrmmmaaaRRREEE>>><<<::::::999999::::::;;;<<<:::>>>>>>@@@DDDRRR{{{tttmmmQQQEEE@@@DDDDDDBBBKKK[[[uuu|||pppZZZSSSXXXmmm@@@@@@???>>>===<<<;;;;;;777666555444333222222222222111111000000000000000...///000111111000///...........................,,,---......//////......---------............///...///000///...///111222:::FFFQQQUUUTTTTTTSSSRRR[[[```eeekkkooojjjXXXFFFWWWiiiwwwzzzqqq^^^[[[lllXXXWWWeeexxxTTTDDDAAA:::CCCFFFUUUmmm}}}aaaLLLJJJJJJPPPZZZccckkkuuuzzzuuupppooommmjjjkkkoootttuuu|||}}}tttmmmfffdddgggffffffooo|||qqqeeehhh|||yyyrrr|||wwwZZZJJJIIIGGGJJJYYYyyy{{{ssskkkccc^^^\\\UUUNNNJJJHHHNNN___oooyyyiii^^^___dddhhhmmmllljjjjjjppp~~~tttuuujjjrrrpppiii]]]OOOCCC===<<<::::::999999::::::;;;<<<:::======@@@EEERRR|||rrrtttSSSHHHCCCFFFCCC???HHHXXXsss}}}}}}zzz}}}zzz```XXXYYYmmm@@@@@@??????===<<<;;;:::666666555444333222222333222111///.........///000...///000000000000///...........................,,,,,,---...............---------............//////000000///......000222999EEEQQQTTTQQQOOOPPPSSSbbbjjjwwwgggKKK[[[nnn{{{{{{rrraaa___oooZZZVVVcccxxxrrrOOO@@@>>>888@@@CCCWWWpppfffNNNIIIIIIOOOZZZdddlllvvv~~~pppqqqtttwwwsssnnnppptttttttttyyyvvvrrrllljjjllllllllluuuzzzkkkjjjqqq~~~}}}rrrlll{{{|||```MMMJJJIIIMMMYYYwwwzzzsssjjjdddaaaYYYPPPKKKIIIMMMZZZgggzzzzzzrrrdddZZZYYY\\\]]]fffeeecccbbbggguuuyyyrrrkkkqqqmmmeeeXXXKKKAAA===;;;::::::999999::::::;;;<<<;;;======@@@DDDNNNwww{{{mmm}}}UUUJJJDDDFFFCCC???GGGVVVqqq{{{}}}ggg\\\YYYjjj@@@@@@@@@???>>><<<:::999666555444444333333333333222111///.........///000................................................++++++,,,------------,,,---------............//////000000///......000222888CCCPPPUUUPPPLLLNNNTTThhhtttvvvWWW^^^rrr~~~}}}ttteeecccrrr\\\YYYeeevvvpppNNN???===777???BBB[[[uuulllSSSHHHHHHNNNZZZeeemmmuuu}}}zzzvvvtttqqqvvv}}}{{{ttttttyyyxxxwwwzzzzzzsssppprrrqqqqqq{{{qqqnnneeexxxhhhccc}}}jjjQQQLLLKKKLLLTTTqqq{{{sssllleee[[[RRRLLLJJJLLLTTT]]]jjjkkkfff\\\TTTSSSSSSRRRWWWWWWWWWWWW\\\fffsss~~~{{{mmmlllpppjjj```SSSGGG???<<<;;;::::::999999::::::;;;<<<===>>><<>><<<999888666555444333333333333333111000000///////////////.........------.................................***+++,,,,,,------,,,,,,---------............///...///000///...///111222777AAANNNUUURRRLLLNNNSSSaaaooorrrXXX]]]sss}}}tttgggeeerrr]]][[[iiizzztttPPPAAA>>>888AAADDD^^^wwwpppVVVHHHGGGMMMYYYdddlllsssyyy}}}tttrrrtttyyy~~~zzzxxx|||zzzyyyzzz}}}}}}xxxxxxwwwxxx|||qqqooo|||cccyyy}}}wwwwwwccc```|||pppTTTLLLJJJHHHLLLdddvvv{{{ttthhh]]]RRRMMMJJJHHHJJJOOOVVVYYYWWWQQQLLLKKKIIIGGGJJJLLLNNNOOORRRXXXbbbiiizzzuuugggjjjooohhh[[[MMMCCC===;;;;;;::::::999999::::::;;;<<<>>>>>><<<>>>BBBFFFdddmmmdddQQQDDDDDDEEEBBBGGGSSSgggvvv{{{wwwwwwzzz}}}}}}lll]]]eee{{{@@@AAAAAA@@@>>><<<999777555555444333333333444444000111111111000000////////////............//////........................+++,,,,,,------------------------............///---...////////////111333777???LLLVVVUUUNNNNNNSSSUUU```mmmuuuwwwppp```RRR[[[sss~~~vvviiigggsss\\\\\\lllyyySSSBBB???999BBBFFF\\\uuupppUUUHHHGGGKKKXXXccckkkqqqvvv~~~xxxxxxzzz|||~~~|||{{{zzz{{{~~~~~~tttmmmnnnlll{{{lllqqqeee```sssoooRRRJJJJJJGGGHHHWWWkkkwwwhhh]]]SSSNNNKKKGGGEEEFFFGGGKKKLLLIIIGGGGGGEEEAAAEEEGGGIIIJJJLLLQQQXXX^^^rrr~~~mmmdddlllooofffWWWJJJ@@@;;;::::::::::::999999::::::;;;<<<>>>===;;;???CCCFFFaaapppyyypppWWWDDDCCCEEECCCFFFNNNaaaqqquuuooolllpppxxxzzzrrroooyyyccceeexxx@@@AAAAAA@@@???<<<999777555555444333333333444444000111222222222111///...000000////////////000000........................,,,---......//////......---------.........//////,,,---/////////000222444777===KKKWWWWWWPPPNNNRRRPPPXXX^^^^^^\\\YYYTTTOOO\\\uuuxxxmmmjjjuuuZZZ\\\nnnzzzTTTAAA>>>888BBBFFFYYYrrrnnnRRRHHHFFFKKKWWWcccjjjpppttt}}}~~~~~~~~~mmmiiinnnwwwiiimmmjjjbbbiiizzz~~~jjjOOOIIIKKKIIIIIIPPPfff~~~vvvggg]]]SSSPPPNNNIIIFFFEEE@@@EEEHHHGGGGGGGGGEEE@@@BBBDDDFFFFFFGGGKKKRRRXXXjjj}}}jjjdddooonnndddUUUGGG>>>;;;::::::::::::999999::::::;;;<<<======;;;@@@EEEGGGaaaqqqrrrxxx\\\EEEBBBEEECCCDDDJJJ]]]nnnwwwggg```]]]gggssstttddd\\\ooohhhfffwwwAAA@@@???>>>>>>===;;;888666666555444333333333333333222111000////////////000///...------...///000222000...,,,+++,,,---...---------............///,,,---......//////......---///////////////111333999@@@MMMYYYYYYSSSPPPRRRIIIKKKOOOSSSUUUTTTOOOLLL[[[qqq}}}|||vvvjjjiiiuuubbbUUUnnnYYY@@@???777>>>GGG^^^rrrsssKKKIIIIIIKKKSSS]]]fffkkkmmm}}}~~~ssslllsss{{{qqqsssrrr___UUUgggmmmgggUUUIIIIIIIIIEEESSS___sss|||mmm^^^OOOJJJHHHCCCAAABBBEEECCCBBBEEEGGGFFFDDDDDDBBBCCCDDDDDDDDDFFFLLLQQQ___vvvwww|||pppkkkiiinnn```OOOEEE===888666888999;;;<<<<<<;;;::::::;;;>>>===:::@@@IIIQQQlllyyyggg___CCCBBBFFFAAACCCMMMYYYkkk|||xxxkkkaaa\\\^^^]]]aaaddd___[[[hhh{{{rrreeerrrAAA@@@>>>>>>>>>===:::888666666555444333333333333333222111000////////////000///...------...///000111000...,,,,,,,,,---...------------............,,,---......//////......---...//////...///111333:::CCCPPPZZZ]]]YYYRRRLLLNNNQQQVVVXXXWWWRRRLLLHHHYYYqqq~~~|||uuuiiihhhuuu___PPPhhh~~~ZZZAAA@@@999>>>EEE[[[pppxxxPPPHHHHHHKKKSSS___hhhmmmnnntttkkkttt|||fff[[[cccjjjgggVVVHHHGGGGGGDDDLLLVVViii|||~~~nnn^^^NNNIIIGGGCCC@@@@@@@@@???@@@AAABBBBBBAAABBB???@@@AAAAAAAAACCCHHHLLLTTTjjjnnn{{{mmmjjjkkkiii[[[KKKBBB<<<888777:::999;;;<<<<<<;;;::::::;;;;;;<<<;;;AAAIIIPPPlllzzzfffFFFCCCFFFAAABBBJJJVVVfffxxx{{{rrrjjjddd\\\[[[^^^^^^WWWTTTcccxxx~~~ggglllAAA@@@>>>>>>>>>===:::888666666555444333333333333333222111000//////////////////............//////111000...---,,,,,,---...------------............,,,---......//////......---...//////...///111333999EEERRR[[[eeeiii___QQQSSSYYY```aaa[[[SSSLLLIIIYYYooo}}}}}}yyynnnlllwww\\\JJJ```{{{\\\BBB@@@:::???CCC[[[ppp|||SSSFFFFFFKKKTTT```jjjpppqqquuukkkwwwiiiZZZ\\\fffgggXXXIIIDDDDDDDDDGGGOOO___rrr}}}nnn]]]LLLFFFEEECCC@@@???<<<>>>??????>>>>>>???@@@===???@@@@@@@@@BBBDDDFFFHHH\\\tttyyynnnvvvhhhhhhkkkcccUUUFFF>>>:::888999<<<999:::<<<<<<:::::::::;;;888===>>>AAAHHHNNNiiioooJJJCCCFFFBBB@@@EEEPPP```rrr~~~wwwkkkkkkllliii```___qqqqqqkkkxxxAAA???>>>======<<<:::888666666555444333333333333222222111000//////000000/////////....../////////000///...------------...,,,,,,---------.........,,,---......///.........---...///.........000222777EEERRR\\\mmm{{{tttcccXXX```hhhhhh```VVVPPPMMMZZZmmmyyy|||www}}}]]]HHH\\\yyyaaaBBB???;;;AAADDD]]]rrrVVVEEEFFFJJJTTTaaalllqqqsssxxxmmm{{{nnnYYYWWWcccggg[[[KKKCCCCCCEEEGGGLLLZZZkkkvvv{{{~~~lll]]]LLLDDDCCCDDDAAA???>>>AAABBB???===>>>@@@@@@???@@@AAAAAABBBBBBCCCCCCBBBSSSgggttt~~~uuuuuuuuufffdddhhh]]]QQQCCC===999888999<<<888:::<<<;;;:::999:::;;;666===???AAADDDIIIaaauuuMMMBBBDDDBBB@@@BBBLLLZZZmmm|||{{{rrrrrrpppttt@@@???=========<<<999777666666555444333333333333222111000000000000000000...//////////////////...///......---------------,,,,,,,,,------------...,,,---......///.........,,,---......---...000222555CCCPPPZZZlll~~~|||nnn___gggppppppggg[[[QQQLLL___mmmwwwaaaHHHXXXttthhhFFF???<<>>AAABBB@@@AAA@@@@@@AAAAAAAAA@@@@@@???MMM\\\fffoooyyyqqq}}}zzziiicccdddYYYMMMBBB===:::888888;;;888:::;;;;;;:::999999:::666>>>???>>>@@@CCCWWWvvvyyyOOOAAACCCCCCAAABBBJJJVVViii|||sssnnn{{{@@@???=========<<<999777666666555444333333333333111111000000000000000111......////////////...........................---,,,,,,,,,,,,------------,,,---......//////......,,,---......---...000222666CCCOOOXXXdddooooooiiifffppp|||wwwgggVVVLLLeeeqqqzzzdddGGGSSSlllsssOOOBBB===DDDDDDSSSiiijjjIIIHHHJJJQQQ]]]iiiqqqtttxxxmmm|||qqqvvv~~~{{{bbbTTT]]]ccc]]]PPPFFFDDDFFFBBBEEEOOO___mmmtttzzz~~~sssmmmaaaSSSKKKJJJIIIGGGFFFIIIGGGBBBCCCJJJJJJDDDCCCAAA???>>>??????>>>===???IIISSSZZZaaagggjjjhhhaaaaaaiii|||uuu}}}lllbbb```RRRHHH@@@===;;;999888999888999;;;;;;999999999:::777???>>><<>>=========;;;999777666666555444333333333333111111000000000000111111---...///000000///...---------...............---++++++,,,,,,,,,---------,,,---......//////......,,,---......------///111666BBBQQQZZZ\\\\\\\\\]]]jjjxxxgggVVViiixxxeeeEEENNN```~~~[[[III@@@CCC@@@NNNeeerrrLLLJJJIIIOOOZZZfffooosssvvvkkkyyyvvveeeyyyzzzzzzyyytttaaaSSSYYY^^^[[[QQQGGGCCCEEECCCCCCIIIWWWeeeoooxxx~~~uuucccUUUPPPOOOLLLMMMNNNKKKGGGNNNXXXXXXOOOGGGCCC???>>>?????????===AAAHHHPPPUUUYYY]]]\\\WWWPPPNNNUUUiii{{{xxxhhh]]]YYYIIIAAA<<<<<<<<<:::888999888999;;;;;;999888999:::777>>><<<:::@@@CCCNNNbbbYYYFFFCCCCCCBBBCCCHHHPPPccczzzsssjjjhhhfffuuurrrttt@@@>>>===<<<<<<;;;999777666666555444333333333333111000000000000000111111---...///000000///...---------......///......---++++++,,,,,,,,,---------,,,---......//////......,,,---...---------///111555AAASSS^^^ZZZQQQQQQWWWjjj|||zzzeeelll~~~~~~eeeEEELLLXXXdddOOOBBBAAA<<>>:::777666777999;;;777888888888888999999999<<<;;;<<<===>>>DDDSSSbbbppp```DDDHHHEEE???IIICCCKKK\\\rrr~~~}}}~~~AAA???<<<;;;::::::888666777666555333222111000000000000000000000//////.../////////////////////////////////...---,,,,,,,,,...,,,+++,,,...///...,,,------------------------///............///000000555>>>OOOVVVTTTZZZYYYKKK[[[```jjjuuuyyyssseeeZZZllltttlllgggGGGCCCKKKfffqqq\\\CCC>>>???<<>>BBBPPP]]]~~~iiieeeEEEGGGDDD>>>HHHEEEKKKYYYmmm}}}}}}BBB???===;;;;;;:::999777777666444333222111111111111111111000000/////////////////////////////////.........---,,,,,,++++++---,,,+++,,,...///...---------------------------...............///000000333===OOOYYY[[[aaa]]]LLLQQQQQQTTTWWWYYYXXXTTTQQQlllxxxoooiiiFFF>>>???YYYeeeUUUBBB??????<<>>>>>@@@JJJUUUuuuddd}}}mmmIIIFFFCCC>>>FFFFFFIIIUUUgggxxxAAA???===;;;;;;;;;999888666555444333222111111111222222111000000/////////////////////////////////.........---------,,,,,,,,,,,,,,,,,,---......---------------------------......---......///000111555???UUUcccgggllldddOOOMMMOOORRRUUUWWWUUURRROOOnnnwwwnnnIII===???WWWcccVVVFFFBBBAAA===FFFUUUhhhcccGGGFFFEEEIII\\\dddooo{{{qqqzzzwwwppplllYYYZZZkkkWWWOOOYYYZZZLLLCCCEEEAAA@@@??????CCCKKKVVV^^^gggnnnuuuxxx}}}}}}xxxkkk]]]``````]]]XXXXXXYYYSSSJJJLLLHHHGGGIIIIIIHHHIIIMMMOOOVVV^^^bbbaaa______aaaqqqrrrjjjjjjlllaaaWWWHHH<<<;;;;;;;;;:::999888777777777777888888888999999999999999;;;>>>>>>>>>EEEMMMjjjgggrrrwwwMMMEEECCC>>>EEEDDDFFFPPPcccuuuAAA>>><<<;;;;;;;;;999888555444333333222222222222333333111000/////////////////////////////////////////////...............,,,,,,------------......---------------------------------......///111111666CCC^^^pppvvv{{{rrr[[[SSSVVV[[[aaadddbbb]]]XXXuuurrr~~~tttNNN@@@EEE[[[ggg\\\JJJCCC@@@===DDDQQQaaaiiiKKKHHHGGGJJJYYY___iiiwwwuuu}}}xxxrrroooUUUUUUzzz]]]LLLVVV___UUUHHHEEECCCAAA@@@???AAAGGGOOOUUUaaajjjrrrvvvzzz}}}zzzxxxzzzsssmmmfffeeejjjlllcccXXXRRRLLLGGGGGGGGGHHHMMMSSSUUU]]]gggiiieee```^^^___oooqqqjjjlllgggYYYNNN@@@555999::::::::::::999777666777777888888888999999999999888;;;>>>>>>===@@@GGG___nnnmmmRRREEEDDD@@@DDDBBBCCCMMM```sss???===;;;:::::::::999888444444333222222333333333555444222000/////////000////////////////////////////////////////////////+++,,,...---,,,,,,---///---------------------------------......000111222666EEEbbbuuu|||}}}iiiWWWYYY^^^gggnnnnnnfff^^^{{{mmmzzzSSSDDDFFF]]]jjj___KKK@@@===<<>><<<>>>CCCUUUvvvmmmXXXFFFFFFBBBDDDBBBAAAJJJ]]]ppp}}}~~~~~~~~~|||>>><<<:::999999999888777333333333222222333444444666444222000//////000000////////////////////////........................***,,,......,,,,,,---///------------------------------------///000111222666EEE^^^nnnrrrzzzyyyjjjWWW[[[eeeuuu~~~oooaaaxxx|||qqq~~~VVVFFFCCC[[[kkkaaaKKK===<<<>>>BBBPPP^^^zzz~~~XXXMMMHHHHHHSSSXXXeeepppvvvuuuuuurrrrrrxxx~~~jjjKKKTTTaaawwwZZZRRRWWWXXXNNNEEEAAABBBAAA@@@@@@BBBEEEHHHSSS^^^iiinnnrrrxxx|||||||||~~~~~~pppmmmrrrwwwvvvsssggg]]]RRRLLLIIIIIINNNUUU^^^kkkyyy~~~wwwmmmgggeeeqqqvvvrrruuu```OOOGGGAAA===999999999888888888888888777888888888888999999999:::888999======<<<===BBBNNN}}}|||lll]]]HHHIIIEEEDDDEEEBBBFFFWWWkkkyyy===;;;999888999999888666333333222222333333444444666555222000//////000000////////////////////////------------------------***---///...,,,+++---000------------------------,,,,,,------///000111222777DDDYYYcccccckkknnnbbb\\\cccttt|||gggddd}}}wwwWWWGGG@@@YYYlllbbbKKK======AAABBBQQQ^^^yyy\\\NNNGGGFFFQQQXXXgggooo~~~ttt___YYYWWWRRRRRRWWWdddssseeeKKKRRRPPPcccRRRRRRTTTOOOFFF@@@AAAAAAAAA@@@AAACCCEEEJJJVVVbbbhhhmmmsssxxxyyy|||~~~~~~pppgggfffiiikkkmmmhhh___UUUPPPMMMMMMRRRYYYhhhvvvtttllliiiyyy~~~{{{~~~xxxVVVDDD>>><<<::::::999888888777888888999777888888888888999999999;;;888999<<<===<<<===AAAJJJvvvjjj___IIIJJJFFFDDDHHHBBBDDDSSSgggwwwtttqqqooonnnoooqqqrrrrrr{{{|||<<<:::999999999999888666333333333222222222111111111111000000//////......////////////////////////////////////............++++++,,,------......//////...---,,,,,,,,,,,,,,,000000000000000111111222111BBBTTT]]]```___\\\XXXUUUggg}}}lllfffxxx~~~XXXFFF???TTTmmmjjjOOOAAAAAA>>>DDDPPP\\\qqqkkkMMMJJJKKKHHHRRRfffttt~~~~~~hhhZZZQQQKKKIIIJJJLLLWWWkkkzzzcccQQQDDDIIIqqqlllLLLMMMNNNCCCCCCAAACCCDDDBBB>>>===???BBBFFFMMMVVV___fffjjjnnnppprrrxxx~~~~~~{{{{{{{{{~~~~~~}}}tttnnnjjjiiimmmaaaYYYVVVPPPMMMXXXiiiwwwssssssgggRRRAAA:::<<<;;;999999999888888888888777555777888888777777888999999::::::999999:::>>>@@@HHHrrruuummmJJJHHHFFF>>>AAABBBDDDNNNbbbwww{{{qqqiii]]]ZZZWWWVVVVVVWWWWWWWWWaaa```dddnnnzzz<<<:::999999999999888666444444444333333333222222111111000000//////..............................////////////............++++++,,,------......//////...---,,,,,,,,,,,,---/////////...///000000111222BBBSSS\\\___]]]WWWQQQ[[[kkkaaappp^^^HHH???RRRjjjjjjPPPAAA@@@>>>EEEQQQ^^^ssstttQQQLLLNNNLLLRRRaaasss~~~sssaaaTTTJJJEEEEEEGGGPPPbbbyyyxxxwww|||}}}XXXOOOEEEHHHiiizzzsssQQQKKKKKKDDDDDDCCCCCCCCCBBB@@@???@@@AAAEEEJJJRRRZZZaaafffkkknnnlllrrrxxx{{{{{{yyyyyy{{{}}}}}}~~~~~~}}}zzzooogggccc\\\YYYcccrrrtttttt^^^LLL???;;;<<<;;;999999999888888888777777555777888888777777888999999999:::999999;;;???BBBGGGppprrrKKKGGGHHHDDDCCCCCCEEEMMM```uuutttiiiaaaSSSQQQMMMLLLLLLMMMMMMMMMQQQQQQVVV```kkkyyy<<<:::999999999999888666555555555444444444333333111111000000//////............................../////////............---++++++,,,------......///......---,,,,,,,,,------...............//////000444AAAPPPZZZ^^^\\\SSSJJJXXXcccttt~~~]]]lll}}}fffKKK@@@NNNfffhhhQQQAAA???===CCCPPP]]]qqq|||VVVKKKMMMMMMQQQYYYqqq|||kkkZZZLLLEEECCCBBBHHHVVViii~~~mmmjjjyyy{{{uuuRRRKKKFFFGGG]]]||||||YYYJJJKKKIIIIIIFFFDDDBBBAAABBBBBBAAA@@@BBBFFFMMMSSSYYY___eeeiiieeekkkrrruuuvvvvvvwwwyyyyyy|||~~~}}}zzzyyy{{{}}}{{{uuuoookkkssswwwzzzxxxQQQDDD<<<;;;===:::999999888888888777777777555777888888777777888999888999::::::;;;===AAADDDMMMuuuSSSGGGHHHEEEEEEEEEEEEKKK\\\qqqxxxlll```XXXLLLHHHEEEBBBCCCCCCDDDCCCCCCEEEIIIPPPXXXeeezzz<<<:::999999999999888666444444444444333333333333111111000000//////..............................//////.........---------++++++,,,------......///...------,,,,,,,,,------///............///000000444@@@NNNZZZ``````WWWLLLQQQXXXaaa|||fff]]]mmmyyypppMMMAAAJJJ```gggSSSAAA>>>===???KKKXXXkkk```NNNIIIIIINNNTTTlllyyysssbbbSSSKKKIIIAAACCCKKKZZZmmmwwwdddbbbsssuuuPPPFFFFFFEEEQQQvvv}}}bbbMMMMMMNNNKKKGGGDDDAAAAAACCCDDDBBB@@@@@@BBBGGGKKKPPPVVV]]]bbb```eeelllpppqqqqqqsssvvvwww{{{}}}|||wwwuuuxxx|||zzziiiGGG>>>;;;;;;<<<888888888888888777777777777555777888888777777888999777888::::::;;;>>>CCCFFFXXX}}}```IIIGGGBBBDDDEEEDDDHHHUUUkkk|||wwwjjj___VVVMMMIIIDDDAAA@@@AAAAAAAAAAAABBBEEEHHHJJJTTTiii|||<<<:::999999999999888666333333333333222222222222111111000000//////..........................................------------++++++,,,------......///------,,,,,,,,,------...000000//////000000111222333???NNNZZZdddhhhbbbZZZTTTXXXZZZjjjllliiikkkUUUYYYmmmwwwzzzQQQCCCFFF[[[gggVVVCCC>>>>>>>>>HHHSSSeeewww}}}xxx\\\JJJGGGLLLRRRfffttt|||lll\\\RRROOOEEEDDDFFFNNN___tttvvvzzzrrrccceeevvvtttKKKCCCDDDDDDIIIdddrrrUUUNNNMMMFFFGGGDDDAAAAAACCCDDDBBB@@@>>>@@@BBBEEEHHHNNNUUUZZZ]]]bbbhhhlllmmmmmmppprrruuuyyy|||zzzvvvuuuxxx|||~~~zzz}}}]]]@@@<<<::::::;;;666888888888777777777666666555777888888777777888999777888999:::;;;???CCCGGGZZZ~~~iiiKKKGGGBBBBBBDDDCCCDDDOOOcccvvv}}}qqqfff]]]TTTOOOIIIEEECCCCCCBBBBBB@@@AAACCCDDDDDDKKK\\\nnnuuu<<<:::999999999999888666333333222222222111111111111111000000//////......------------------------.........------------,,,++++++,,,------......///------,,,,,,,,,---......000000000000000111222222222???NNN[[[gggoooqqqnnn\\\]]][[[gggeee```dddRRRSSSiiixxxUUUFFFDDDVVVgggZZZEEE>>>???AAAGGGPPPccctttvvv}}}mmmPPPGGGLLLPPP___nnn~~~xxxfffZZZVVVNNNJJJEEEHHHSSSggg|||~~~~~~gggdddccckkksssgggnnnvvvJJJBBBCCCCCCFFFUUUxxxbbbOOOIII???FFFDDDBBBAAABBBBBBAAA@@@>>>???@@@AAACCCHHHMMMRRRYYY^^^dddhhhiiijjjmmmpppsssvvvxxxxxxwwwwwwzzz|||~~~vvv|||ssstttvvvSSS===<<<:::999:::666888888777777777666666666555777888888777777888999777888999:::;;;>>>BBBFFFRRRuuuqqqNNNKKKFFF@@@CCCCCCBBBJJJ]]]qqq|||}}}rrriii\\\VVVOOOIIIFFFDDDDDDCCC>>>>>>@@@BBBBBBFFFSSSaaabbbsss<<<:::999999999999888666444444333333333222222222111111000000//////......------------------------.........---------,,,,,,++++++,,,------......///,,,,,,,,,,,,,,,---...//////////////////000111111222???OOO\\\hhhttt|||gggddd```nnnoooiiiiiiTTTQQQfff{{{[[[HHHBBBSSShhh]]]GGG???@@@BBBEEEMMMbbbtttsssvvvsssRRRIIIKKKLLLZZZiiiyyysssfffbbbVVVPPPGGGDDDKKK\\\ppp~~~}}}zzzzzzbbbZZZPPPQQQeeettthhhqqqwwwNNNCCCBBBCCCEEEJJJaaarrrRRRIIIAAACCCCCCCCCBBB@@@???@@@AAA>>>???@@@@@@@@@CCCHHHKKKSSSXXX___cccfffhhhlllppppppqqqsssuuuwwwyyy{{{||||||uuuyyyjjjwwwfffHHH:::===:::888999777888777777777666666666666555777888888777777888999777888999999:::===AAADDDMMMqqq}}}VVVOOOFFF???CCCDDDCCCIIIZZZnnnzzz}}}sssccc]]]TTTMMMIIIFFFEEEDDDAAA@@@@@@BBBBBBBBBIIIRRRRRRaaauuu<<<:::999999999999888666555555444444444333333333111111111000//////......------------------------......---------,,,,,,,,,++++++,,,------......///,,,,,,,,,,,,,,,---...///...............///000000333AAAPPP\\\gggvvvrrrlllfffxxx}}}vvvpppVVVSSSeee^^^JJJAAARRRhhh___HHH@@@AAAAAACCCJJJaaatttrrrsssoooQQQIIIJJJHHHVVVeeevvv}}}qqqlll[[[TTTIIICCCGGGUUUhhhvvvzzzxxx}}}eeeZZZKKKEEEUUUtttsssfffppptttMMMEEEAAABBBEEEDDDRRR~~~UUULLLHHHAAACCCDDDBBB???===???BBB???@@@@@@@@@???AAAEEEGGGNNNTTT[[[```dddgggmmmqqqnnnnnnooossswwwzzz|||{{{xxx|||wwwzzzpppvvv\\\BBB888===:::777:::999777777777777666666666666666777888888777777888999777888888999999<<<@@@CCCOOOrrr^^^RRRCCC???DDDEEEDDDIIIYYYmmmyyyxxxiiibbbYYYQQQKKKIIIGGGFFFGGGEEEDDDEEECCC@@@BBBFFFJJJWWWjjj{{{<<<;;;::::::;;;;;;999777666666555444222111000000000000000000//////////////////000000///...---------------...............000...------...///...,,,...---,,,,,,---///222444111000...---,,,...///000333???RRRaaafffjjjtttzzzxxxxxx~~~hhhXXXbbbpppSSSAAAFFFaaahhhPPP>>>@@@@@@CCCKKKZZZooo~~~|||ssspppRRRIIIGGGBBBTTT___nnn{{{|||tttlllYYYIIIFFFHHHKKKWWWeeezzz}}}|||yyyvvvuuuxxx~~~eeeGGGFFFPPP[[[sssssseeepppiiiHHH@@@BBB??????BBBHHHkkknnnTTTDDD???AAABBBAAA@@@AAAAAA???======>>>>>>??????@@@@@@GGGLLLSSSZZZ^^^bbbfffhhhmmmnnnoooqqqrrrvvv{{{zzz{{{~~~zzz~~~ZZZDDD@@@;;;999999999888666999888888777666555555444777777666666666666777777:::::::::999999<<<@@@CCCQQQwww{{{MMMGGGEEECCCBBBDDDIIISSSfffwwwrrrkkkaaaXXXSSSPPPNNNMMMGGGGGGGGGFFFFFFFFFFFFFFFIIISSS]]]gggwww~~~yyy<<<;;;::::::;;;;;;999777555555444444333222111111000000000000//////////////////////////////...---..................------------,,,---///000...---...---,,,,,,---///222333000///...------...///000444@@@TTTffflllkkknnnrrrooorrryyy___aaawww}}}XXXDDDFFF```hhhQQQ??????>>>???FFFXXXttt{{{[[[LLLJJJLLLQQQ\\\lllzzzvvvcccRRRKKKHHHGGGNNNYYYooo~~~zzzuuutttuuuwwwwwwvvvuuu___MMMLLLRRRbbbsssqqqggguuu^^^CCCAAABBB??????@@@AAAZZZ|||fffJJJAAABBBCCCBBBAAAAAA@@@>>>======>>>>>>>>>>>>>>>>>>AAAFFFLLLRRRWWW\\\```dddhhhjjjlllmmmmmmpppsssvvvssstttwwwzzz~~~|||TTT@@@===999777888999888777888888777777666555555444777777666666666666777777888999999888888:::>>>AAAGGGggg|||yyyZZZNNNGGGDDDCCCDDDGGGPPPbbbrrr~~~tttnnneee]]]WWWTTTQQQOOOKKKJJJJJJIIIHHHGGGFFFEEEEEENNNWWW```ooo}}}xxxqqq<<<;;;::::::;;;;;;999777555444444444333333222222000000000000////////////---...///////////////////////////...---------,,,,,,,,,,,,...000000///---------,,,,,,---///111222......//////////////////555@@@UUUjjjsssnnnfffbbbdddlll}}}jjjaaalll]]]GGGFFF___iiiUUUAAA>>>@@@???CCCUUUsssbbbIIIFFFNNNLLLXXXiiiyyynnn]]]SSSLLLFFFHHHPPPcccuuuyyysssqqqrrrpppjjjdddhhhiiinnnvvvUUUKKKOOOZZZddd}}}mmmhhhyyytttSSS???@@@AAA>>>???AAA===KKKgggwwwrrrOOOEEECCCBBBBBBCCCAAA???===>>>>>>==================<<<@@@EEEJJJPPPUUU[[[```dddfffiiijjjjjjkkkmmmnnntttsssuuuyyy}}}pppJJJ<<<:::777666777888888777888777777666666555555555777666666555555666666777777777888777777999<<>>TTTyyypppfffcccKKKIIIFFFCCCDDDEEELLL\\\kkkzzz|||xxxrrrjjjccc]]]YYYUUUSSSPPPOOONNNLLLJJJHHHGGGFFFDDDKKKSSS[[[fffvvv}}}tttlll<<<;;;::::::;;;:::888777444444444444444333333333000000000000////////////------...///000000//////000000///...---,,,,,,,,,---,,,---///000000...+++------,,,------///000111---...//////000//////...444===QQQiiivvvpppbbbXXX\\\ggg}}}tttcccfffbbbIIIEEE^^^kkkZZZEEE>>>DDDCCCFFFRRRhhh~~~~~~kkkKKKCCCKKKJJJUUUeeeuuu~~~vvvhhh]]]TTTKKKJJJNNN]]]qqqzzzrrrmmmhhhbbbZZZTTTYYYWWWXXXhhhgggRRRRRRZZZ___vvvjjjhhh{{{~~~eeeLLL>>>??????<<<>>>CCC???EEEYYYppp{{{www]]]JJJDDD@@@AAACCCBBB???>>>>>>>>>======<<<<<<;;;;;;;;;===AAAFFFKKKQQQXXX]]]```cccgggjjjkkkkkklllmmmuuutttvvvyyy}}}||||||}}}bbb@@@;;;:::888777777777777777777777666666666555555555666666666555555666666666777777888777777999<<<>>>>>>HHHeeerrr\\\tttoooKKKHHHEEECCCCCCCCCIIIWWWeeeuuu|||wwwpppiiiccc^^^ZZZWWWTTTTTTRRRPPPNNNMMMKKKJJJIIINNNSSSYYYbbbooo|||xxxnnn<<<;;;::::::;;;:::888777444444444444444444444444000000000000////////////------...///000000//////000000///...---,,,,,,,,,///....../////////,,,***,,,,,,---------...//////------...///000000//////333888KKKddduuurrrcccXXXWWW```vvvxxxdddeeeiiiLLLBBBYYYjjj___III???AAAEEEHHHNNNZZZjjjvvvzzz}}}vvvXXXJJJMMMIIIRRRaaappp~~~uuunnnooorrrvvv~~~sssiii]]]SSSOOOOOOZZZooo|||yyyrrrhhh]]]RRRKKKGGGBBBBBBEEESSSnnn^^^QQQRRRVVVmmm|||mmmnnnuuu\\\HHH>>>??????:::;;;BBB???AAAOOOuuu}}}|||TTTHHH???@@@CCCBBBAAAAAA>>>>>>======<<<<<<;;;;;;:::<<<>>>AAAFFFKKKRRRWWWYYY]]]bbbgggiiijjjlllmmmooooooqqqtttwww}}}{{{zzz|||yyy{{{}}}xxxyyywwwTTT:::<<<<<<;;;999777666666666666666666666555555555555666666555555555555666666777888999999888999<<<>>>BBBBBBUUU{{{\\\___WWWGGGDDDCCCCCCBBBGGGSSS```pppzzz|||tttmmmhhhccc___\\\XXXWWWVVVUUUSSSRRRQQQPPPNNNQQQTTTYYY___iiiwww}}}sss<<<;;;::::::;;;;;;999777666555555555444444333333000000000000////////////---...///////////////////////////...---------,,,000...------......---,,,,,,,,,------............------......///000000000111555FFFaaatttuuuiii^^^WWW\\\kkkrrr```dddvvvSSS???PPPccc^^^LLLAAA;;;BBBHHHKKKRRR```nnnvvvuuuwww~~~uuu^^^OOOKKKHHHOOO[[[jjjwww}}}rrriiilll{{{~~~sssfffYYYRRROOOVVVkkk~~~{{{xxxwwwsssiii\\\NNNFFFAAA;;;===@@@FFFUUUkkkkkkSSSPPPTTTdddzzztttwwwqqqTTTCCC===??????999888>>>;;;;;;FFFZZZ}}}eeeRRRBBB@@@BBBAAABBBEEE>>>>>>==================888999<<<===@@@DDDJJJNNNPPPTTTZZZ___ccceeehhhjjjjjjkkknnnsssuuuxxx|||wwwrrrppprrrtttuuuxxx}}}~~~|||zzzxxxwwwooottt^^^HHH999;;;<<<<<<:::777555555555555555555555555555555555666555555444444555555666777888999999888999;;;===AAA???KKKoooZZZ]]]HHHEEEDDDCCCBBBDDDPPP\\\kkkvvvyyyrrrlllhhhdddbbb\\\[[[ZZZYYYWWWVVVUUUTTTQQQQQQSSSWWWZZZbbbqqq~~~~~~uuu<<<;;;::::::;;;;;;999777777777666555444333333222000000000000//////////////////////////////...---..................------...,,,++++++---///000111,,,,,,------......------......------...///111222///444FFFaaavvvxxxnnneee___^^^dddrrr|||{{{wwwuuufffXXXaaa]]]<<>>999999>>>;;;999BBBJJJaaazzz```HHHAAABBBAAABBBGGG======>>>>>>>>>>>>>>>>>>888:::;;;<<<===@@@CCCFFFJJJNNNSSSXXX\\\___ccceeehhhiiinnntttvvvuuuyyy~~~yyyqqqooollliiihhhjjjlllnnnpppwww}}}|||uuunnnllllllnnnuuusssJJJ???:::777999:::999666444555666555555555555555555555555666555555444444555555666555777888888777777999;;;>>>>>>GGG~~~\\\xxxcccKKKHHHFFFDDDAAABBBKKKVVVgggrrr}}}uuupppllljjjhhhaaa```___\\\ZZZXXXVVVUUUSSSQQQRRRUUUWWW]]]mmm}}}}}}uuu<<<;;;::::::;;;;;;999777888777777555444333222222000000000000///////////////000000000///...---------------...............---***))))))---111333555,,,,,,---.........------///...---,,,---///111333///555HHHdddxxx{{{qqqhhhjjjdddcccjjjmmmhhhdddccc]]]RRR^^^~~~ddd:::<<>>>>>??????@@@@@@:::<<<=========>>>AAACCCIIILLLQQQUUUXXX\\\```cccdddeeekkkqqqsssrrrssswwwxxx{{{rrrppprrrppplllhhhfffddddddfffiiikkkkkknnnwww~~~|||rrriiiggghhhrrrxxxjjj???;;;<<<333666888888555444555777444555555555555555555555555555555444444555555555444666777777666666777999;;;???HHH|||ZZZqqqqqqNNNKKKHHHEEEAAA@@@HHHRRReeeqqq}}}xxxrrrooommmllleeedddbbb___[[[XXXVVVUUUUUURRRSSSVVVWWW\\\lll}}}|||uuu===<<<;;;<<<======;;;999777666555444444333444444000000000000////////////////////////////////////.........------,,,,,,,,,---------------------------.........---,,,,,,+++.........///////////////111333BBB\\\rrrwwwpppiiiooolllhhhhhhjjjmmmmmmmmmgggVVVRRRnnn|||ddd???@@@GGGRRRSSSBBB??????@@@HHHUUUeeesss|||wwwzzz|||wwwiiiXXXLLLFFFDDDGGGMMMWWWfffwww{{{uuulllddd\\\WWW\\\cccooozzz~~~|||nnnPPPPPPQQQSSSZZZjjjwwwyyy{{{uuu|||sssKKK>>>AAA;;;;;;;;;<<<<<<<<<<<<===@@@BBB______LLLFFFBBB@@@@@@BBBBBB@@@??????@@@>>>:::<<<;;;::::::;;;<<<===>>>BBBCCCFFFJJJNNNSSSWWWYYY\\\___dddhhhllloooppppppqqq}}}tttpppjjjfffeeeffffffggg``````aaabbbccceeefffgggrrrwwwwwwtttlll^^^```uuu~~~]]]BBB<<<777666666555555555555666666666666555555555444444444444444444555555555555666777666666666666888999:::===777IIIzzziiimmm~~~UUUFFFCCCGGGAAAAAAIIILLLaaannn|||~~~xxxsssnnnkkkfffdddbbb```^^^[[[VVVSSSRRRPPPQQQSSSVVV\\\jjjxxx|||vvv===<<<;;;<<<======;;;999777666555444444333333444000000000000////////////////////////////////////......---------,,,,,,,,,---------------------------.........------,,,+++............////////////222333@@@ZZZpppwwwrrrlllrrrmmmjjjoooyyynnn\\\TTTjjjqqqHHH@@@AAAJJJNNNCCC======>>>EEESSSdddsss|||{{{{{{~~~~~~rrr^^^OOOJJJAAACCCHHHQQQ```rrr~~~zzztttnnngggbbb___bbbhhhsss|||}}}{{{}}}ccc^^^eeennnwww{{{yyysssMMM===;;;;;;;;;;;;;;;<<<<<<<<<<<<>>>???RRR}}}oooTTTEEECCCDDDDDDCCCBBB@@@@@@AAA@@@???<<<<<<;;;;;;;;;<<<===>>>???@@@CCCFFFJJJNNNQQQSSSVVVYYY]]]bbbfffiiijjjkkkpppvvv|||zzzrrroookkkgggbbb```___`````````ZZZ[[[\\\]]]```dddgggiiikkkrrrsssqqqlllaaaggg|||SSS@@@<<<666666666555555555555666666666555555555444444444444444444444444555555555555777666666666777888999:::>>>:::KKKyyyzzz]]]JJJEEEHHHCCCBBBHHHIII]]]kkkyyy{{{uuuqqqnnniiigggdddaaa___\\\YYYVVVUUUSSSSSSUUUWWW[[[gggsss~~~{{{ttt===<<<;;;<<<===<<<;;;999777666555444333333333333000000000000////////////////////////////////////...------------,,,,,,,,,---------------------------............---,,,,,,............//////000000333333@@@YYYooowwwsssnnnoooiiigggpppxxxdddVVVcccTTT@@@;;;DDDKKKFFF======>>>EEESSSfffxxx~~~yyy|||zzzaaaNNNIIIAAAAAACCCJJJWWWhhhwww|||wwwqqqlllhhheeedddeeejjjsss|||}}}zzzzzzjjjqqqxxx|||{{{}}}fffHHH===999:::::::::;;;;;;;;;<<<<<<======CCC^^^wwwgggKKKCCCEEECCCCCCBBB@@@===<<<===???======<<<;;;;;;<<<<<<<<<======???AAADDDGGGJJJKKKMMMPPPTTTXXX]]]```aaabbbiiimmmooossszzzssspppkkkgggfffbbb```\\\[[[[[[[[[ZZZYYYUUUUUUVVVXXX\\\aaaeeehhhjjjqqqqqqppppppkkktttbbbFFF<<<;;;444666666555555555555666666555555555555444444444444444444444444555555555555666666666666777888999:::999;;;IIIooo~~~|||iiiQQQGGGHHHEEEEEEHHHEEEWWWeeeuuu}}}~~~yyyuuurrrmmmjjjfffbbb```^^^\\\ZZZYYYWWWWWWXXXYYY[[[ccclllwww}}}yyyrrr<<<;;;;;;;;;<<<<<<:::888666666555444333333333333000000000000////////////////////////////////////------------------------------------------------------............------------......//////000000333444AAAYYYooovvvqqqkkkgggbbb```jjj~~~qqqZZZ^^^{{{^^^???:::CCCKKKJJJ???>>>@@@GGGVVVkkkyyy{{{fffPPPIIIDDDAAA@@@EEEOOO\\\mmmzzz}}}uuummmgggcccaaaaaaaaafffnnnvvv|||~~~~~~}}}|||llliiiddd___^^^iii}}}yyy~~~zzzNNN???>>><<<999:::::::::;;;;;;;;;;;;;;;>>>;;;EEEqqqxxx]]]IIIFFFDDDCCCCCCCCC???;;;<<>>>>>===<<<<<<<<<;;;;;;;;;<<<<<<>>>???AAACCCDDDGGGIIILLLQQQTTTXXXZZZ[[[^^^eeelllpppwwwuuuiiiccccccbbbeeehhh```^^^[[[ZZZYYYWWWUUURRRQQQQQQQQQSSSWWW]]]cccgggooorrroooqqqyyy{{{iiiLLL::::::;;;444666555555444444555555666444444444444444444444444333333444444444555555555666666666777777888999999777<<>>:::DDDJJJKKK??????@@@FFFUUUkkk~~~{{{oooXXXMMMFFF@@@>>>CCCJJJVVVgggwwwwwwmmmddd^^^ZZZYYYYYY^^^eeemmmvvv|||dddXXXKKKEEEFFFMMM]]]mmmxxxwww}}}aaa@@@;;;???===999999999999:::::::::;;;888>>>::::::\\\{{{|||zzzXXXLLLEEECCCDDDGGGEEE@@@@@@CCC>>>>>>>>>======<<<<<<;;;<<<<<<<<<<<<===>>>???@@@CCCEEEGGGKKKNNNQQQSSSTTTUUU]]]gggmmmqqqvvv~~~tttiiiaaa[[[YYY]]]ccc```^^^[[[XXXUUURRRNNNKKKIIIJJJKKKOOOUUU]]]dddhhhjjjkkkfffmmmVVV???555888;;;444555555444444444444555555333333444444444444444444333333333444444444444555555666666777888888999999888???DDDPPPuuudddMMMHHHEEEFFFHHHBBBNNN\\\lllwww}}}yyywwwrrrnnnhhhcccaaaaaa```___\\\YYYYYY\\\]]]]]]```ffflllwww{{{uuu<<<;;;:::;;;<<<;;;:::888666555444333222222222222000000000000////////////////////////////////////,,,,,,,,,------------...------------------------------...////////////...,,,------...///000111111222333@@@XXXmmmsssmmmfff______aaagggxxxtttbbbnnnqqqCCC;;;AAAEEEJJJ???>>>>>>BBBNNNeeexxx~~~xxxcccRRRFFF???===BBBHHHRRRdddwww{{{pppeee\\\VVVSSSRRRUUUZZZaaakkkuuu}}}YYYKKK??????BBBDDDJJJQQQ\\\cccmmmtttzzz}}}uuuxxxwwwTTT???>>>???:::888888999999999:::::::::666<<<<<<:::OOO{{{uuunnnYYYGGG@@@===BBBCCC??????CCC======>>>>>>>>>===<<<<<<===<<<<<<<<<<<<<<<======AAAAAACCCEEEHHHJJJLLLMMMPPPSSSYYY```cccgggpppzzzzzzwwwrrrllleee```YYYVVVZZZaaa]]]ZZZVVVRRROOOKKKGGGDDD@@@AAAEEEKKKSSS\\\dddhhh^^^aaa```mmmiiiHHH;;;555777;;;666555555444444444444555555333333333333444444444444333333333333444444444444555666777888999999999888555:::>>>HHHhhh~~~rrrUUUJJJDDDEEEGGGCCCKKKWWWgggrrr}}}xxxvvvwww~~~{{{yyytttooojjjfffdddbbbaaa```^^^[[[ZZZ]]]^^^^^^```dddhhhttt}}}xxx;;;:::::::::;;;;;;999888666555444333222222222222000000000000////////////////////////////////////,,,,,,,,,---------......------------------------------...///////////////,,,,,,---...///000111111222111;;;RRRhhhqqqoookkk```^^^^^^dddsssxxxbbbddd{{{QQQ@@@>>>@@@KKKCCCAAA>>>>>>HHH]]]wwwyyyyyyuuu___JJJBBB???CCCFFFLLL]]]qqqzzzyyypppfff\\\TTTPPPKKKKKKLLLQQQZZZeeepppwww___NNNBBBBBBBBB??????DDDBBBHHHOOOUUU]]]lllsssrrr{{{fffIII===>>>===999888888888888999999999999777888:::;;;DDD]]]vvv{{{uuuWWWGGG<<<===>>>;;;;;;???<<<<<<>>>>>>???>>>=========<<<<<<;;;;;;;;;<<<<<<===>>>>>>@@@AAACCCEEEFFFKKKJJJLLLQQQUUUWWW^^^fffiiivvvyyynnnhhhgggaaa\\\YYY[[[[[[[[[\\\```YYYUUUQQQMMMIIIFFFCCC@@@===???CCCIIIPPPWWW^^^aaaYYYcccjjjyyyoooQQQ>>>;;;666666999888555444444333333444444555222222333333333444444444222222333333333444444444444555777888999999888888666888>>>NNNppp|||___OOODDDCCCFFFCCCGGGSSSaaammmyyyqqqkkkiiisssyyy}}}{{{uuurrrmmmiiigggeeecccbbbbbb]]][[[]]]^^^]]]___bbbfffrrr~~~zzz;;;:::::::::;;;;;;999777555555444333222222222222000000000000////////////////////////////////////,,,,,,,,,------.........------------------------------...///000000//////,,,,,,---...///000111222222///777MMMdddppprrrqqq___[[[XXX]]]jjj{{{uuuaaa^^^uuu^^^EEE<<<>>>NNNHHHEEE@@@>>>EEEYYYrrr~~~qqqQQQHHHCCCDDDDDDFFFUUUhhhuuu~~~}}}zzzvvvnnneee[[[RRRMMMEEECCCBBBEEELLLWWWccckkktttrrr^^^LLLEEE@@@999:::AAA;;;===???BBBIIIZZZpppxxxlllqqq~~~[[[===666:::;;;;;;777888888888888999999999;;;666666;;;;;;FFFkkk{{{mmm|||pppYYYEEEAAA@@@;;;;;;???;;;<<<===?????????>>>>>><<<<<<;;;;;;;;;;;;;;;<<<;;;;;;;;;<<<===>>>@@@AAAGGGDDDEEEKKKMMMKKKNNNSSSVVV___gggkkkpppxxx~~~yyysssnnnkkkeee___\\\^^^\\\VVVSSSXXX]]]]]]ZZZYYYVVVSSSNNNJJJGGGEEECCCAAA???AAADDDHHHMMMQQQUUUWWW___nnnyyyWWWAAA999<<<777444999999555444444333333444444555222222222333333444444444222222333333333444444444444555777888999999888888>>>>>>FFF^^^lllgggRRRDDDAAAEEEDDDEEEPPP^^^iiivvvpppeeeaaafffkkksss}}}}}}wwwsssooollljjjhhheeeccceee```\\\]]]^^^\\\]]]aaadddqqq}}}{{{<<<<<<<<<<<<;;;:::999888666555555444222111111000111333555666555222///---------............------,,,------......------,,,------,,,,,,,,,---......111000///...---,,,,,,,,,...............///000000111111777FFFZZZiiiqqqrrrfffaaacccdddaaammmzzz{{{kkkooojjj```aaawwwjjjDDD???EEEFFFOOOIII??????IIIRRRfff\\\KKKAAAEEEFFFEEEOOO___mmm}}}}}}zzzrrriiifffdddXXXKKKBBB???===???GGGSSS```iiinnnpppkkkTTTMMMCCCDDDCCC333<<<>>>@@@AAADDDPPPfffyyyzzzttt{{{YYYDDD999:::>>><<<;;;::::::999999::::::;;;666555888;;;:::>>>WWWrrreeennnqqqOOOAAAAAABBB@@@?????????>>>======>>>===;;;>>>>>>===<<<;;;;;;::::::>>>===<<<;;;;;;<<<===>>>??????@@@BBBDDDGGGIIIJJJRRRTTTWWW[[[```dddhhhjjjttttttsssrrrpppmmmjjjiiidddccc^^^[[[cccjjj```OOOWWWWWWXXXXXXXXXXXXYYYYYYTTTQQQLLLHHHGGGHHHGGGEEEIIIGGGGGGKKKMMMMMMOOOSSSbbb}}}tttKKKFFF@@@;;;888666444222777666555444333222222222333333333444444444555555000111222222333333222222666666666666777888999:::666@@@TTTuuueeettttttSSSIIICCC>>>DDDEEEIIITTTddduuuzzzkkkcccggghhhlllttt}}}|||xxxwwwtttooojjjfffeeefffdddaaa]]][[[[[[\\\]]]]]]cccjjjvvv|||www;;;;;;;;;;;;:::999888777666555555444222111111000000111333333222000...,,,------............------,,,------......------,,,------,,,,,,,,,---......000///...---------------...............//////000000111666AAAPPPaaaoooxxxssspppsssooobbbbbbiiiggghhhiiiddd[[[\\\pppzzzOOOBBBCCCBBBNNNJJJAAA>>>EEEJJJ]]]zzzttt[[[FFFAAA@@@@@@KKK[[[gggyyy}}}|||wwwnnnfffeeeeee]]]RRRMMMHHHCCC@@@DDDLLLVVV]]]fffdddaaaPPP@@@AAAGGG???;;;<<<<<<===???JJJ```ssszzzzzzVVVAAA999999<<<999::::::999999999999::::::666555888<<<;;;<<>>;;;>>>>>>??????>>>>>>>>>>>>===>>>======<<<;;;;;;::::::<<<<<<;;;;;;;;;;;;<<<<<<===>>>>>>???AAACCCEEEFFFIIIJJJMMMPPPTTTXXXZZZ\\\aaabbbbbbaaa```^^^\\\[[[VVVYYYYYYZZZeeepppmmmaaaYYYZZZZZZYYYWWWTTTRRRQQQKKKMMMPPPQQQRRRTTTUUUUUUXXXVVVTTTSSSOOOOOOXXXbbbzzz]]]DDD@@@;;;777666555444333666666555333333222222333333333333444444444444555111222222333333333333333666666666666777888999:::777;;;UUUpppkkk}}}WWWKKKFFFAAABBBCCCGGGPPP```qqq~~~{{{tttwwwxxx|||~~~zzzxxxvvvrrrmmmjjjhhhhhhfffbbb___\\\]]]]]]^^^]]]bbbiiittt~~~~~~zzz::::::::::::999888777666555555444333333222111111///000000000///...---,,,------............------,,,------......------,,,,,,,,,,,,,,,,,,---...//////......---------............------......///000///111555:::FFFYYYppppppccccccaaaeeefffaaaWWWVVVfff~~~]]]EEE???>>>KKKLLLDDD???@@@AAARRRmmmlllOOOCCC@@@???GGGRRR\\\ppp}}}zzzyyysssiiidddgggkkkiiiccc\\\UUULLLDDDAAAEEEKKKOOO[[[UUUhhhgggLLLBBBDDD@@@===;;;::::::;;;EEE[[[oooPPP===888:::;;;555::::::999999999999::::::777555888===<<<999AAAMMMxxxooojjjbbbIII@@@BBB<<<===>>>>>><<<::::::;;;=========<<<;;;;;;::::::::::::;;;;;;;;;;;;::::::;;;;;;<<<<<<===>>>@@@@@@@@@AAACCCEEEGGGIIIKKKLLLMMMMMMNNNNNNNNNNNNMMMMMMNNNRRRSSSSSSZZZeeeeee___\\\\\\[[[YYYUUURRRQQQRRRLLLSSS]]]fffjjjkkkkkkkkkdddaaa\\\UUUPPPUUUiii|||kkkJJJ;;;888555333444555555444666555444333333222222333333333333333444444444444222222333444444444444444666666666666777888999999===<<>>>>>>>><<<999999<<<======<<<<<<<<<;;;;;;;;;999:::;;;<<<<<<;;;:::999;;;::::::::::::;;;<<<<<<===>>>>>>???@@@AAABBBBBBAAABBBCCCDDDEEEFFFGGGGGGJJJNNNPPPNNNPPPWWW[[[YYY]]]\\\YYYUUUSSSWWW___eeebbbgggsss{{{vvviiibbbZZZUUUWWWhhhzzzTTTAAA777444222222333444444444555444444333222222222333222222333333333444444444222333444444555555444444666555555666666777888999???===PPPxxxnnnuuudddPPPQQQKKKBBB@@@BBBGGGSSScccttt{{{zzzyyyxxxwwwtttpppnnnkkkhhhdddbbbbbbaaa```___^^^dddnnnxxx;;;;;;;;;;;;:::999888777444444444333333222222111111000///.........//////------............------,,,------......------,,,,,,++++++,,,---...//////---------------...///000---------------...//////......///555DDD[[[sss~~~jjjiiikkknnnyyy}}}mmmWWWWWWsssZZZGGGBBBCCCLLLJJJCCCAAA???III^^^{{{llliiiwwwhhhWWWMMMFFFCCCFFFNNNaaaxxxlllXXXSSSUUUXXXWWWQQQOOOWWWddduuu}}}zzziii^^^RRRPPPVVV\\\```aaaZZZTTTKKKBBB======@@@BBBCCCBBBCCCKKKXXXmmmsssXXXLLLDDD>>><<<>>>???FFF^^^wwwwwwFFF;;;;;;;;;:::666999888888777777888888999;;;777555777999888999;;;EEEtttwwwccckkkmmmUUUHHHAAA<<<======;;;===BBB<<<<<<<<<<<<<<<;;;;;;;;;:::;;;<<<======<<<;;;:::;;;;;;::::::::::::;;;;;;============>>>>>>>>>>>>??????@@@AAACCCEEEFFFGGGEEEJJJNNNPPPSSSZZZaaaddd]]]ZZZUUUQQQTTTaaattt}}}qqqggg^^^WWWYYYfffYYY???:::777555333222333444333222444444333222222222333333222222222333333333444444222333444444555555444444555555555555666777888999:::<<>>:::???<<<>>>GGGSSSooofffXXXGGG???<<>>>>>???@@@AAACCCEEEFFFEEEJJJNNNQQQTTTYYY```eee[[[ZZZVVVTTTYYYiiitttfff___ZZZZZZcccuuupppIII888888888666444333444444222111333333222222222222333333222222222222333333333333222222333444444444444444555555555555666777888888:::>>>@@@CCCXXXbbbWWWuuuXXXSSSNNNGGGBBBBBBDDDKKKWWWhhhxxx|||zzzxxxxxxzzzzzzvvvsssqqqnnnkkkiiihhhfffdddbbb^^^bbbiiiqqqxxx::::::::::::999888777666444444333333333333222222////////////000/////////------............------,,,------......------,,,+++++++++,,,---...///000......---------......///------,,,,,,------...///---///222333:::LLLeeexxxuuummmsssxxxllldddjjjnnnqqqZZZgggqqqKKK999;;;FFFFFFBBBDDDCCCEEEPPPiiirrraaasss~~~hhhSSSHHHGGGFFFPPPaaatttlllaaa[[[XXXUUUSSSRRRTTTXXX```nnn{{{|||xxxvvvlll]]]OOOJJJJJJGGGEEEEEE@@@>>>;;;999888888:::;;;777===777777AAABBBPPPnnntttdddNNNCCC???AAAAAAFFF^^^zzzVVV;;;>>><<<666888;;;777777777666666777777777666666555444555888:::;;;<<>>>>>===>>>???AAABBBDDDGGGIIIMMMPPPSSSUUUZZZ^^^[[[\\\]]]]]]___jjj{{{jjjaaa___cccmmmyyyXXX@@@999777777555444333444444222111333222222222222222333333111222222222222333333333111222222333333333333333555555555555555666888888;;;<<>>;;;;;;===<<<;;;:::::::::::::::888===444333>>>999:::QQQfffuuuTTTHHHCCCEEEDDDGGG___|||sssKKK888>>>;;;333666<<<777777666666666666777777333555666444444777999999;;;===UUU~~~zzzhhhpppbbbTTTMMMDDD??????;;;<<<<<<<<<<<<<<<<<<<<<;;;:::999888888999:::;;;999999999999999::::::;;;999999:::;;;;;;<<<======>>>>>>======>>>???AAABBBDDDFFFJJJQQQUUUYYY]]]aaa[[[```dddeeedddhhhrrrzzz~~~wwwfffccciiiuuuccc@@@666666444555444333333444444333111222222222111222222333333111111222222222333333333111111222333333333333222555444444555555666777888777444:::DDDHHHXXXuuu```}}}[[[JJJDDDCCCAAAAAABBBFFFOOO^^^nnnxxx{{{|||xxxxxx|||~~~|||zzztttrrrooommmkkkiiifffccc```bbbffflllssszzz;;;;;;;;;:::999888777666555444444333333222222111////////////............000...------//////---***......---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---...//////...,,,***(((//////...------------------222111000444888LLLlllpppkkkbbbYYYXXX___iiinnn|||zzz___]]]jjjggg>>>::::::===BBBCCCAAAAAADDDJJJbbb|||bbbgggzzzxxxfffUUUKKKAAAEEEMMMXXXhhhxxx~~~vvvooosssmmmiiifff^^^UUURRRVVVLLLEEE??????>>><<<:::<<<;;;999888::::::999999;;;:::::::::;;;;;;===>>>???MMMiiigggQQQCCCDDDDDDHHHaaaRRRCCC999;;;<<<777666;;;777777777777666666666666555555555555666666666666999AAAFFFSSS}}}dddvvvzzz___LLLEEE<<<;;;===@@@===777888???:::;;;<<<===;;;999999;;;:::::::::999::::::;;;;;;:::::::::;;;;;;;;;<<<<<<===<<<;;;<<>><<<>>>BBBDDD@@@>>>???EEEWWWpppoooXXXdddrrrvvvmmm]]]MMMEEE???AAAFFFOOO]]]mmm|||tttiiiaaaUUUOOOKKKKKKGGG@@@>>>AAACCC<<<999:::;;;:::999;;;===;;;;;;<<<<<<;;;:::999;;;;;;:::::::::;;;;;;;;;BBBZZZxxxrrrZZZGGGEEEFFFMMMggglllMMM@@@777999:::555555:::777777777777666666666555555555555555666666666666333;;;>>>FFFeeemmmiiiqqq]]]OOOFFF@@@???===999777888;;;<<<:::888===CCC???777;;;;;;:::::::::;;;;;;<<<:::::::::;;;;;;;;;;;;<<<>>>=========@@@BBBDDDDDDJJJNNNQQQRRRWWW```eeeeeepppxxx|||xxxyyy|||}}}wwwuuuvvvtttuuuzzzTTT===666444222111222222111111111111111111111111111111111111111111///111222222111111222333444444333222222222333333555444444777:::<<<;;;999777:::;;;>>>DDDLLLkkkuuuoookkkQQQKKKHHHFFFBBBAAADDDHHHPPP^^^llluuu~~~}}}|||{{{|||}}}~~~~~~zzzwwwuuutttrrrmmmhhhdddbbbaaadddjjjnnnrrrzzz;;;;;;;;;:::999888777666666666666555444444333333////////////...............---,,,...///000...---......---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.........---,,,+++,,,---///111111///,,,***---222000000444666HHHeeetttfff```^^^\\\ddd``````dddaaaYYYWWW[[[YYYBBB>>>===BBBDDDAAA===<<>>???AAAFFFPPPaaauuunnn```UUUOOOKKKFFFCCCDDDFFFCCCAAAAAA===999777999:::999999;;;;;;;;;;;;;;;<<<<<<;;;888<<<<<<<<<<<<<<<;;;;;;:::@@@PPPiiicccLLLHHHLLLUUUnnnyyyWWWGGG<<<555777888555555999777777777666666666555555444555555555555666666666555;;;===>>>LLLsssjjjhhhxxxjjjWWWCCC;;;;;;<<<;;;;;;666===???;;;;;;@@@>>>777<<<;;;;;;::::::;;;;;;;;;::::::::::::;;;;;;;;;;;;>>>===>>>>>>@@@CCCEEEFFFHHHLLLPPPTTT]]]jjjsssuuu{{{}}}tttnnniiikkkxxxxxx]]]@@@444666777444111333222222222111000000000111111111111111111111111///111222222111111222333555444333333222222222222444444444666999::::::999666;;;<<>>;;;@@@EEEDDD???===AAAEEEPPPhhhaaaWWW\\\ooowwwfffQQQGGG???>>>???CCCJJJWWWlll}}}lll^^^TTTOOONNNGGGBBB>>>???CCCDDDAAA>>>@@@<<<;;;===<<<::::::<<<:::<<<<<<;;;;;;<<<<<<:::===>>>???@@@@@@@@@>>>>>>EEEOOObbb|||jjjTTTQQQWWWbbbwwwuuuLLLAAA:::555666777555666999777777666666666555555555444444444555555555666666999;;;===<<>>555>>>HHHIII@@@888999???<<<;;;::::::::::::::::::999999:::::::::;;;;;;;;;;;;<<<===???@@@CCCGGGJJJOOOUUU\\\cccnnn||||||vvvsssssskkkoooqqqwww[[[JJJ999444888888666444333333333222111000//////111111111111111111111111///111222222111111222333222222222222333333444555333333444666888888888888888;;;999999===BBBYYYzzzbbbZZZPPPIIIEEECCCCCCDDDGGGRRR]]]kkkwww~~~~~~~~~||||||{{{zzzyyyuuujjj```XXXWWWYYY___eeekkkuuu~~~;;;;;;;;;:::999888777666444444333333222111111000////////////............+++,,,............//////......---------,,,,,,,,,+++++++++,,,,,,---------++++++,,,---............000///...,,,,,,---......,,,111///000444333@@@YYYvvvddd```dddggghhhhhhfffaaa[[[iiiNNNAAA999===EEEGGGDDDAAA===AAAHHHWWWsssjjjZZZYYYmmm{{{nnnWWWIII@@@>>>???BBBGGGOOO```ppp~~~zzzlllbbb]]]^^^cccSSSNNNHHHGGGIIIKKKHHHDDDDDD@@@???@@@>>>;;;<<<@@@FFFKKKLLLFFFAAA@@@???======???BBBDDDEEEEEEDDDCCCHHHPPPaaa{{{uuuddddddllltttqqqHHH===999666777777666777999666666666666555555555555444444444444555555555555777666888:::888DDDkkk}}}pppzzzdddUUUIIIAAA???;;;BBBPPPNNN===888AAA;;;;;;:::999999999999999999999999:::::::::;;;;;;777999<<<>>>???CCCHHHLLL]]]dddlllsss|||xxxttttttsssnnnhhhuuuqqqEEE===666555555222111222333333333222111000//////000000000000000000000000///111222222111111222333333333222222222333444444222333444666666666777777666:::666555;;;AAATTTrrrmmm\\\PPPGGGDDDCCCCCCCCCEEENNNXXXeeeqqq}}}~~~{{{}}}}}}{{{yyysssdddTTTLLLJJJLLLRRRYYYaaannnyyy;;;;;;;;;:::999888777666333333222222111000000000////////////............,,,---//////...---...///......---------,,,,,,,,,***++++++,,,,,,------...,,,,,,,,,------.........222000---++++++,,,...000,,,000///000444222<<>>999<<<<<<;;;:::999999999999999999999999::::::::::::555888;;;<<<===???EEEIII[[[bbbhhhlllrrrxxxyyyvvvkkkddd```hhhyyyyyyOOO<<<999888888555000///222333222222222111000000000000000000000000000000000///111222222111111222333888777555333222000000000111222555555444444555666111888777888===>>>III^^^}}}www\\\NNNGGGDDDCCCCCCBBBCCCKKKUUU^^^kkkyyyzzz}}}uuuaaaKKKFFFBBBAAADDDKKKUUUcccppp;;;;;;;;;:::999888777666444444333222222111111000////////////............,,,...000000---,,,---.........---------,,,,,,,,,******+++,,,,,,---......------,,,,,,,,,------...000///...,,,,,,---......,,,000...000333111999NNNooottthhhrrrzzzzzz~~~wwwggg[[[wwwpppWWW>>>999AAAFFFEEEBBB999======@@@TTTwwwxxxeeehhhyyy~~~nnnZZZGGG>>>:::>>>@@@AAAIIITTTjjjxxxyyytttuuuuuussshhhccc\\\WWWOOOIIIJJJPPPdddzzz~~~jjj\\\TTTMMMKKKNNNSSSWWWXXXVVVTTTRRR[[[hhhXXX???888999999777666777777777666666555555555444444444333333444444444555555555666555777;;;:::;;;DDDQQQvvvrrrttteeeWWWUUU]]]]]]PPP@@@>>>>>>===<<<;;;::::::;;;888999999999999:::::::::666999;;;;;;999:::???DDDIIINNNRRRTTTXXX]]]^^^\\\VVVSSSWWWjjj~~~XXX>>>:::777666999888444111222222222111111111111111111000000000000000000000000///111222222111111222333888777555333111000//////000222555555333333444666111999999888<<<<<>>BBBKKKYYYggg;;;;;;;;;:::999888777666555555444333333222222111000/////////............---///111000---+++,,,.........---------,,,,,,,,,******+++,,,,,,---.........------,,,,,,---------......//////......---,,,,,,///...000333000777LLLmmm|||yyyllluuu{{{}}}nnnZZZooo~~~aaaCCC999???DDDBBB>>>>>>???<<<<<>>666111000444777555111///111111111111111222222222000000000000000000000000///111222222111111222333555555444333222222222222///222555555333222444666555;;;888666:::<<>>BBB<<<<<>>666666555444444444444555555555444444444333333333333333333444444444555555555555444555666888:::;;;JJJdddzzzmmmttt{{{cccSSSGGGEEECCC>>>AAAIIIBBB???======>>>???===;;;>>>;;;:::;;;>>>???<<<888???<<<:::===DDDIIIJJJHHHWWW```eeekkkhhhIII???<<<888444444333333222111000000111111000/////////////////////............//////000000000000111111111111222222111111111111222222444444444444444444444333::::::999888888<<>>???@@@BBBKKKUUUdddrrr|||www{{{iiiGGG888:::666666555444444444444555555444444444444333333333333333333444444444444555444444444444555777999:::888FFFqqqzzzhhhsssvvvqqqjjjaaa```eeeggg\\\PPPKKKMMMMMMGGGAAAGGGKKKNNNNNNJJJFFFDDDCCCEEEBBBCCCMMM[[[cccbbb^^^qqq}}}{{{SSS>>>888666444444333333222111111000000111000000/////////////////////............////////////000000000111111111222222111111111111222222333333333333333444444444888888888777777999===AAADDDQQQiiiTTTIIIHHHHHHAAAAAAEEEAAAFFFQQQaaannnvvv{{{~~~{{{sssuuu{{{}}}qqqTTTGGGAAA>>>@@@GGG;;;::::::999888777666666555444444444333333333222/////////.........---------------...............//////.........---------,,,,,,,,,---------......------------------------...............---------///,,,,,,//////000444;;;PPPnnn}}}llldddcccaaaoooyyyttt```nnnoooIII>>>===???FFFDDD???>>>AAABBBHHHZZZnnn}}}zzzzzzwwwyyyrrr```LLLBBB>>><<<<<<>>>DDDKKKVVVeeesss~~~|||bbbLLL===999;;;666666555444444444444555444444444444333333333333333333333333444444444444333333333333444555777888666777PPP{{{sssbbbzzzwwwmmmoooooofff\\\___hhhooolllaaaWWWUUUWWWYYYUUUYYYiiiYYY===444333222222333333222222111000000000000000//////......////////////............////////////000000000000111111222222111111111111222222111111222222333333444444555666777777666777999;;;>>>CCClllxxxWWWLLLKKKLLLCCC???BBB@@@BBBJJJWWWeeeqqqyyy~~~{{{~~~zzznnneeeaaammm|||vvv~~~||||||\\\KKKDDDAAABBBFFF;;;::::::999888777666666666555555444333222111111///.........------------,,,---------.../////////............------------,,,,,,,,,---------......------------------------/////////...---------,,,...,,,,,,/////////333999MMMlll|||pppllllllnnnrrrxxx]]]^^^zzzTTTCCC===;;;FFFEEEBBB@@@@@@???CCCPPP___yyy|||xxxkkk[[[NNNCCC;;;999<<<@@@DDDLLLYYYiiiyyyzzz|||vvvWWWEEE???======666666555444444444444555444444444333333333222222222222333333333444444444222222222333333444555555;;;:::IIIiiippprrruuusssuuuwwwppppppeeeBBB444333222222444222222111111000000000000000//////.........////////////............//////////////////000000000111222222111111111111222222000000111222222333444444444666777777666666666777>>>>>>]]][[[NNNLLLNNNDDD>>>AAA@@@BBBGGGRRR```nnnzzzrrriiimmmsss~~~zzzoooaaaWWWZZZlll~~~|||uuuoootttsssxxx}}}|||aaaPPPFFFBBBCCCGGG;;;::::::999888777666666777666555333222000/////////.........------------,,,---------.../////////---------,,,,,,,,,,,,+++,,,,,,,,,---------......------------------------/////////...---------,,,---+++,,,//////...222777GGGbbb}}}|||zzzsssxxx|||www]]]VVVmmmhhhMMM>>>999CCCGGGEEEBBB???===@@@JJJTTTpppsssqqqrrroooiii```PPPAAA;;;===>>>???CCCNNN]]]nnn{{{|||uuupppoooxxxqqqPPP???<<<===>>>666666555444444444444555444444333333333222222222222222222333333333444444111111222333333333444444666:::DDDWWWqqqrrruuu```JJJ888444555222222555111111000000000000////////////............////////////............//////...////////////000000000222222111111111111222222000000111222222333444444444666888888777666666777999:::PPPdddQQQLLLMMMDDD???AAA@@@BBBEEEMMMZZZhhhvvviii^^^bbblllxxx|||ssseeeWWWWWWcccwww~~~wwwttttttqqqlllggg``````eeefffgggyyyzzziiiWWWGGG>>>===AAA;;;::::::999888777666666666555444333222000///////////////.........---------------...............------,,,,,,,,,+++++++++,,,,,,,,,---------......------------------------...............---------,,,+++,,,//////...000666AAAVVVtttvvvnnnpppnnnpppuuusssuuueeeYYYeee[[[AAA:::???GGGEEECCC>>>;;;===CCCHHHcccooogggjjjnnntttrrrcccOOOBBB???;;;<<<>>>DDDPPP^^^mmmuuu~~~vvvmmmkkkjjjjjjkkkrrr}}}gggGGG:::888<<>>>>>@@@AAATTTzzzwwwkkkiiinnnxxx~~~vvv```KKK@@@;;;<<<===???EEEQQQ```jjj~~~yyyqqqbbb```cccjjjpppuuu~~~~~~YYY@@@:::777999@@@666666555444444444444555333333333222222222222111111222222222222333333333111222333444444444333222555:::666666<<>>222555666333111222222///////////////////////////...------------...///000//////............//////........./////////000000222222111111111111222222333333333333333444444444444555666666555555777888777AAAGGGddddddPPPMMMGGGAAAAAA???===@@@EEEKKKTTTaaapppzzz}}}rrr]]]\\\eee}}}xxxjjjdddfffnnn|||zzznnndddWWWNNNJJJGGGCCC???AAA@@@HHHLLLKKKQQQVVVNNNRRRUUUUUUPPPIIIEEEDDDEEE;;;::::::999888777666666222333333444555666777777000000000000/////////////////////......------,,,//////.........---------,,,,,,,,,---------......------------------------,,,------....../////////,,,***,,,//////---///444333@@@\\\{{{oooooopppsss{{{}}}yyyzzzjjj___tttuuuLLLCCC===:::???CCCCCCCCCBBBBBB@@@GGGnnnwwwllloooyyymmmRRR@@@===?????????AAAKKKYYYeeezzzzzzsssdddaaaeeeqqq{{{{{{LLL<<<<<<666333777666666555444444444444555333333333222222222111111111111222222222333333333111222333444555444333222222777333666===777DDDkkkrrrgggxxxfffQQQ===...111888888000...333444............///////////////---------------...///000//////............//////............/////////000222222111111111111222222444444444444444444444444333444555444444444777999666AAAAAAVVVlllSSSNNNHHHBBBAAA>>><<<@@@DDDHHHNNN[[[lllxxx{{{}}}ccc]]]eeerrrwwwiiiiiiiiiqqq~~~wwwrrrsssgggXXXLLLFFFCCC???;;;@@@===EEEOOORRRXXXVVVIIIGGGIIIJJJGGGEEEDDDAAA???::::::999999777666444444555555444333222000000///000////////////000000111////////////////////////......---------,,,,,,,,,------------------------,,,,,,,,,---------......------------------------,,,,,,,,,---...///000000999888LLLsssuuuqqqvvvzzz|||~~~qqq___lll___GGG======;;;AAACCC===@@@DDD===HHH]]]yyyxxxpppdddpppyyyddd@@@???<<<===AAAAAABBBKKKWWWkkkyyywwwvvvwwwiii^^^dddsss}}}|||rrrCCC888999:::777///444444555555555555555555222222222111111000000000333333333222222222111111222222222222222222222222222333444555777<<>>DDDKKKVVVfffttt~~~~~~sssmmmwwwzzz|||vvvrrrqqquuuzzzuuukkkjjjlllddd[[[TTTKKK@@@;;;;;;<<<>>>AAAGGGNNNRRRSSSSSSNNNHHHDDDDDDDDDAAAAAACCC999999999888888666555444555444444333222111000///000000////////////000000////////////////////////......---------,,,,,,,,,------------------------,,,,,,,,,---------......---------------------------,,,,,,------///000000555444FFFiii~~~wwwxxx}}}xxxaaaddd|||wwwXXX???>>><<>>MMMdddxxxfffiiixxx~~~zzz___FFFAAA======<<<<<>>>>>AAAGGGQQQ```oooyyy{{{}}}~~~}}}|||}}}ppphhhhhhfff```[[[XXXQQQFFF???>>>??????BBBFFFJJJMMMMMMLLLKKKFFFCCCDDDEEECCCCCCFFF888888888888888777666666555444333333222111000000222111000//////...//////////////////////////////......---------,,,,,,,,,------------------------,,,,,,,,,---------......---------------------------------------...///000222333@@@\\\{{{tttsssssswww~~~oooccckkkqqqGGG===888>>>DDDBBBFFFJJJDDD;;;@@@NNNfffssskkkrrr|||sssPPPHHH@@@===<<<<<<>>>BBBLLLZZZjjjwwwssshhhlllzzz}}}zzzjjjKKK999888444222444222333333333222222222222222333333333222222222222111222222111111111000000000222222222222222222222222222333444444333444666888;;;EEEhhhkkkYYYYYYkkk|||```@@@222111000111444000000/////////.................................---,,,,,,,,,,,,---..............................000000000000000000000000000000000000000000000000000111222333333444444333444444444444555555555555888999555999GGG[[[fffSSSNNNIIICCCBBB???===???BBBJJJYYYgggssswww{{{~~~wwwmmmhhhhhhaaa]]]\\\\\\XXXNNNFFFCCC@@@AAACCCGGGKKKMMMNNNMMMLLLGGGEEEGGGHHHGGGHHHKKK777777888888888777777666444444333333222111000000222222000///............////////////////////////......---------,,,,,,,,,------------------------,,,,,,,,,---------......---------------------------------------...///000222555===QQQqqqnnnhhhjjjqqq{{{pppeee~~~VVVAAA888:::AAA???BBBEEE@@@AAA@@@DDDRRRjjjtttrrrwww}}}cccUUUFFF@@@AAAAAA>>>:::EEEPPP]]]jjjwww}}}rrruuu}}}|||||||||SSS===555888444222444222333333333333222222222222333333333222222222222222111111111000000000000///111111111111111111111111111222444444333333333444555888IIIggggggLLLMMMXXXqqq|||XXX@@@///222777222...222000000000/////////..............................---,,,,,,,,,,,,---..............................////////////////////////000000000000000000000000222333444555555555555555333333444444444555555555;;;888555999???JJJxxxvvvVVVOOOLLLDDDCCC???======???FFFTTTaaaoootttzzz~~~~~~xxxrrrnnnmmmccc___^^^```^^^UUUMMMJJJAAABBBDDDJJJPPPUUUWWWXXXSSSMMMKKKLLLMMMLLLLLLOOO777777888888888777777666444333333222222111111111222222000///............////////////////////////......---------,,,,,,,,,------------------------,,,,,,,,,---------......------------------------...------------.../////////333999IIIhhhwwwhhhhhhlllvvvkkkpppnnnLLL===:::@@@@@@CCCGGGDDDCCCAAAAAAGGGVVVlll|||qqqqqqxxxlllPPP@@@???BBB???999BBBIIIQQQ[[[jjjzzz}}}}}}zzzzzz{{{}}}|||qqqLLL:::444888555444666222555444444444333333222222222222222222222222222222111111111000000000000///111111111111111111111111///111444444444333333444333777<<>>BBBlll^^^OOOKKKGGGDDD@@@======???DDDPPP\\\jjjqqqzzz~~~}}}||||||~~~~~~~~~}}}~~~|||xxxtttlllfffaaabbbaaa[[[TTTQQQFFFFFFGGGLLLSSSZZZ___aaa[[[UUUPPPPPPPPPLLLLLLMMM888888888888888777666666333333333222222222111111222111000//////...//////////////////////////////......---------,,,,,,,,,------------------------,,,,,,,,,---------......------------------------......---------......///,,,///444BBB^^^{{{rrrrrruuu|||zzzkkkuuuXXXBBB999<<<===AAAGGGFFF???>>>>>>AAAHHH[[[wwwsssooopppzzzcccHHH===>>>???<<<>>>BBBGGGNNN\\\nnnzzz~~~{{{zzzyyyxxxyyy|||{{{xxxjjj]]]III999444777444555777111555555444444333333222222000111111111111222222222222222111111111000000000111111111111111111111111///111333444333333444555333:::888999JJJaaaqqq[[[MMMRRR\\\jjjvvvVVVAAA;;;333000333222...///666111111111000000000//////........................---,,,,,,,,,,,,---..............................000000000000000000000000000000000000000000000000111111222222222222111111333333333333444444444444444444555:::<<<>>>___pppSSSJJJJJJDDDAAA?????????AAAKKKUUUccclllwww|||{{{zzzzzz{{{|||}}}~~~~~~yyyuuulllffffffeee```ZZZXXXOOOLLLJJJLLLQQQYYY___cccbbb[[[UUUTTTQQQLLLJJJKKK999999999888888666555444333333333222222222222111000000////////////000000////////////////////////......---------,,,,,,,,,------------------------,,,,,,,,,---------......------------------------///......---------............111;;;PPPjjjqqqhhhlllOOO===<<<:::===CCCCCCAAA>>><<<===@@@KKKaaauuu}}}zzzrrrqqq}}}bbbKKKAAA@@@@@@;;;???BBBEEEOOO___kkkpppuuuzzz}}}wwwwwwxxxxxxzzz~~~yyysssooouuuuuuWWWIII@@@555444666111222666222444444444333222111111111//////000000000111111111333222222222111111111111111111111111111111111111000111222222111111222333222:::333000:::AAARRRrrrgggWWWLLLPPP[[[mmmwwwcccNNN>>>666555333000......///111222000000/////////.................................---,,,,,,,,,,,,---..............................000000000000000000000000000000000000000000000000111111222222222111111000222222333333333444444444111444333666:::<<>>>>>DDDLLLZZZdddqqqyyyyyyxxxxxx{{{{{{|||}}}}}}}}}}}}}}}}}}}}}~~~zzzxxxpppiiijjjkkkfff```\\\VVVRRRMMMLLLPPPYYYaaaeeeiiibbb\\\YYYUUUPPPMMMMMM::::::999999777666555444333333222222222222222222000////////////000000111////////////////////////......---------,,,,,,,,,------------------------,,,,,,,,,---------......------------------------///......---------......333000111777EEEZZZtttzzzfffpppaaaIIIBBB======CCCCCCIIIBBB===<<<<<>>BBBHHHNNNSSS___jjjsssvvvzzz{{{wwwsssqqqrrruuuyyy~~~WWW>>>===555555444333333222111111000111222222222000///...111111111111000000000000333111//////111222000---000000////////////000000000111111111111222222222333222111111444666777888LLL]]]{{{lllUUUEEEHHHTTTXXXgggqqqYYYDDD===999111...111000000///------,,,,,,,,,------......------,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,,,,............////////////111111111000000000000000222222222111111111111111333333222222222333444555888333333888888:::III\\\yyySSSXXXIIIFFFDDDBBB>>>;;;???FFFJJJUUUdddnnnssstttwwwzzzyyy{{{}}}}}}}}}~~~~~~}}}|||}}}~~~}}}zzz{{{~~~{{{{{{{{{{{{{{{{{{|||}}}}}}|||~~~sssooottt{{{{{{zzzyyyvvvsssnnnkkkiiiggg^^^VVVUUUVVVYYY___eeekkkmmmnnnjjjbbb\\\[[[]]]999999888888777555444333333333333333222111000000000////////////.........////////////////////////......---,,,,,,---,,,+++,,,,,,------...---------,,,,,,,,,------.........---------............///000000////////////.........111111555;;;AAA]]]nnndddMMM???>>>>>>666???CCCEEEAAA;;;999===BBBJJJ^^^www}}}}}}jjjUUUFFF@@@;;;===???@@@GGGOOOXXXcccooouuuzzz{{{wwwsssrrrrrrssszzz||||||LLL888888555444444333222222111111111111111111111000//////111111111000000000//////333111//////111111000...000000////////////000000000000111111111222222222222000...000333666555444999DDD[[[{{{yyy\\\KKKEEEIIIQQQeeezzztttVVVEEE999888666000...111111000///...---------------------...------,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------...,,,,,,,,,,,,,,,,,,,,,,,,............////////////000000000000000000000000111111111111111222222222333222222222333333444444777222333888888999FFFWWWeeeSSSNNNHHHDDDBBB@@@===@@@EEEHHHQQQ___jjjqqqtttwwwyyyxxxyyy{{{{{{{{{{{{}}}~~~}}}}}}}}}}}}}}}~~~~~~|||yyyzzz}}}}}}zzzzzzyyyyyyyyyyyyzzz{{{{{{{{{}}}}}}wwwwww}}}vvvqqqtttyyy{{{{{{{{{yyywwwtttqqqooonnngggbbbaaabbbaaacccfffjjjmmmpppooojjjccc^^^\\\999999999888777666444444333333333333222111000000////////////............////////////////////////...............---,,,,,,------......------,,,+++***++++++,,,---...///000---------............///---............/////////...000000333888===UUUyyyxxx}}}bbbGGG===;;;666===AAADDDBBB===999:::===@@@MMMccc|||{{{|||kkkSSSDDD:::<<<===999===FFFKKKWWWdddmmmuuu}}}yyyyyyxxxtttpppoooqqquuuxxx~~~ddd>>>333555444444333333222111111111222111111000000000000000111111000000000000//////222000//////111111000...000000////////////000000000000000111111111222222555222111444888;;;888444000555@@@SSSnnnbbbNNNLLLHHHJJJPPPUUU[[[iiixxxcccNNN<<<444111555555///---111111000///......---......---------------,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,---............/////////000000000000000000000000000000111111222222333333222222222333333333444444555222444888888888AAAOOOrrr~~~[[[UUULLLEEECCCCCCAAA@@@BBBBBBIIITTT```jjjqqqtttvvvvvvwwwyyyxxxxxxwwwyyyzzzzzz{{{||||||}}}}}}}}}}}}|||yyywwwwwwzzz|||zzzxxxwwwwwwwwwwwwwwwxxxxxxyyyyyy{{{}}}~~~{{{vvvnnnhhhhhhppp|||zzztttuuuxxx~~~~~~}}}{{{yyyuuupppmmmnnnmmmhhhffffffjjjmmmqqquuutttooofff```999999999888777666555444333333333333222111000000000000000/////////......////////////////////////------...000///,,,+++---,,,------...------,,,,,,++++++,,,,,,---...//////---------............///,,,,,,------...//////000---000///000555888KKKjjj|||xxxYYYBBB===;;;:::===AAAAAA>>>;;;::::::;;;AAAPPPgggzzzvvvsss~~~iiiQQQ???AAABBB;;;:::@@@@@@IIITTT^^^gggpppyyy~~~|||wwwsssnnnoooooollljjjlllrrrxxxwwwLLL777333444333333222222111111111000222111000//////000111222111000000000////////////000000//////000000000///000000////////////000000000000000000111111111111666333111555:::<<<888333333444555;;;HHHaaa}}}nnnaaaPPPEEEBBBFFFNNNUUUYYYfff|||wwweeeNNN@@@<<<444222333666444...---000111000///...............,,,------------,,,++++++++++++++++++++++++++++++++++++,,,,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,---------.........///////////////000000000000000000000111111222333444444222222333333444444444333333222444888777666===FFF\\\~~~ppp^^^RRRGGGDDDEEECCC@@@???<<<@@@IIITTTaaajjjoooppptttvvvwwwvvvuuuuuuvvvwwwwwwxxxzzz{{{|||{{{zzzzzzyyywwwuuuuuuwwwxxxwwwvvvvvvuuuuuuuuuuuuvvvwwwwwwvvvxxxzzz|||~~~xxxxxxsssmmmjjjjjjqqq}}}yyywwwxxxwwwqqqmmmmmmmmmnnnqqqwww|||yyyqqqjjj999999999999888666555444333333333333222111000000111111111000000000//////////////////////////////+++***---111///)))(((,,,***+++,,,---............---------------------------------............///+++,,,,,,---...///000000---111......333555BBB[[[xxxxxxxxxsssttt{{{}}}uuuqqqLLLBBB>>>777:::===??????>>><<<;;;;;;<<>>LLLlllgggYYYLLLGGGGGGCCC???<<<;;;===CCCLLLXXXcccjjjmmmrrrtttuuutttsssssstttuuussstttvvvxxxyyyxxxxxxwwwuuutttsssssstttuuuuuutttuuuuuuttttttuuuuuuvvvwwwtttuuuwwwzzz~~~}}}{{{|||~~~zzztttxxxuuussssssqqqttt|||yyyyyysssqqqrrrwww}}}{{{vvv:::::::::999888777555555333333333333222111000000000000000000///////////////////////////////////////...333888555---,,,111)))***,,,---.../////////......---------,,,,,,,,,---------............///,,,,,,---...//////000000---222///...222333<<>><<<<<<>>>BBBHHHQQQ\\\eeejjjoooqqqrrrrrrqqqqqqrrrssspppqqqrrrssstttuuuuuuuuussssssrrrrrrrrrrrrssssssssssssssssssssstttuuuuuusssssstttxxx~~~|||{{{xxxvvvyyy{{{zzzxxxyyyzzzvvvvvv~~~{{{wwwtttwww|||}}}:::::::::999888777666555333333333333222111000000///............---------////////////////////////111000666===999///---444+++,,,,,,---.........---,,,,,,---------------------------............///.........//////000000000...333000...333333999HHHmmmzzzwwwqqqlllqqqyyy|||www[[[GGG===:::888999===@@@???>>><<<:::;;;???EEEPPPfffzzz|||uuuiii\\\^^^ssspppTTTDDD===;;;<<<:::<<>>AAADDDIIIRRR]]]eeekkklllnnnnnnnnnnnnppprrrnnnnnnnnnoooppprrrssstttrrrrrrrrrqqqqqqqqqrrrsssqqqqqqqqqpppqqqrrrrrrsssrrrqqqrrrwww}}}zzz~~~{{{~~~zzzxxxzzz|||}}}|||:::::::::999888777666555333333333333222111000000------,,,,,,,,,+++++++++////////////////////////+++***111999444)))(((///------......------,,,+++***++++++,,,---...//////---------.........//////////////////000000000000...333000...333333777DDDXXXsssxxxtttssswww]]]BBB===888888<<>>>>>;;;;;;>>>@@@GGGXXXjjjtttuuuvvvrrrbbbTTT[[[lllrrrYYYJJJBBB999777999>>>@@@BBBKKKVVV\\\ccclllqqqsssvvvzzz~~~||||||}}}}}}||||||rrrrrrqqqmmmgggbbbbbbccchhheeefffppp}}}yyypppjjjjjjuuuxxxvvvtttZZZ@@@777555111222666////////////000000000000...///000222222222111000000/////////............,,,...000000...---///222000000////////////000000////////////000000000000,,,///111///++++++///333000111111111111111333555444;;;EEEPPPcccggg]]]PPPGGGDDDCCCAAA???BBBAAACCCKKKWWWbbbjjjmmmqqqttt{{{zzzuuuzzzyyy^^^LLLBBB<<<333222000...///111///+++.........---...///---))),,,,,,+++++++++,,,,,,---+++,,,,,,,,,,,,+++************************************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......---------...///000000111444333333333333333333333000111333555555444333222222444444333444666888777888;;;SSSsssdddXXXOOOFFFAAAAAA999<<<>>>???AAAIIIVVV```hhhjjjkkkllllllmmmnnnpppmmmmmmllllllnnnppprrrsssqqqrrrrrrqqqppppppqqqsssoooooooooooooooppppppqqqqqqpppqqqvvv~~~{{{yyyyyyyyyyyy999999888777666666777777666666555444333333222222000000///...............------............------........................,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,---...//////........................---------............/////////......000333555777OOOrrrwwwnnnyyyRRREEE;;;:::999888<<>>DDDLLLPPPSSS[[[eeekkkooovvv~~~~~~}}}}}}~~~~~~zzzvvvuuuuuuuuurrrooojjjiiifffcccaaaaaadddgggfffmmmqqqvvvzzz~~~~~~{{{uuullljjjsss~~~tttrrr}}}YYYIII;;;666555111///000000000000000000000000000////////////////////////111000...---,,,,,,------............////////////........................////////////////////////000000000000000000000000+++---333111---999>>>333666666666777>>>OOOeeeuuufffXXXTTTNNNEEEBBB@@@>>>???AAADDDFFFGGGJJJKKKMMMOOOPPPRRRUUUXXX[[[ZZZYYY]]]cccggggggeeeZZZWWWUUUVVVZZZ]]]^^^^^^XXXTTTNNNQQQWWWVVVgggyyynnn\\\KKK>>>666222000000000//////.........---......---,,,,,,,,,------+++++++++++++++++++++++++++++++++++++++***)))(((+++++++++*********))))))))))))*********+++++++++++++++++++++++++++++++++---------............///////////////////////////000000000000111111111111222222222222222222222222222222333444444555555666888666AAAeee|||tttjjjaaaKKKEEEIIIAAA@@@===<<>>@@@;;;888;;;DDDGGGNNNWWW]]]cccmmmwww}}}~~~zzz~~~}}}|||}}}}}}}}}}}}|||yyyzzzwwwssspppooommmjjjgggdddcccaaa___^^^```eeehhhoooyyy|||}}}~~~{{{yyyvvvqqqlllmmmuuurrrppp{{{{{{JJJ===222111333111111222000000000000000000000000000000000000000000000000222111///...------..................////////////................................................////////////////////////111000222000111CCCRRRMMM555555333000000777DDDMMMaaaqqqvvvddd]]]YYYSSSMMMIIIGGGFFFEEECCCCCCCCCDDDEEEFFFGGGGGGBBBBBBBBBBBBBBBCCCDDDEEEBBB???======@@@CCCCCCCCCDDDAAA<<<>>>DDDEEEXXXyyymmm]]]PPPIII???666222222222333////////////......------......---------......///+++++++++++++++++++++++++++++++++++++++***))))))+++++++++*********))))))******************++++++++++++++++++++++++++++++------------....................................//////000000000111111111222222222222222222222222222222333333444555555555444333:::VVV~~~sssyyyppp___SSSHHHEEEDDD===@@@======??????@@@FFFMMMYYY\\\aaafffiiikkkkkkjjjkkkkkkmmmnnnnnnnnnnnnnnnmmmmmmmmmmmmmmmmmmlllkkkhhhhhhiiiiiiiiijjjjjjjjjiiikkklllqqq|||vvvpppllliii;;;:::999777666555555555333333333222222111111000000000///...............------............------........................///...------++++++***)))+++,,,,,,------.................................---------............/////////...///000222444666666PPPvvvyyyrrrxxx~~~uuuKKK;;;<<<;;;777444;;;;;;<<<;;;::::::<<<===IIIMMMVVVbbbjjjhhh]]]SSSPPPVVVddd|||yyyYYY???===>>>888666<<<<<<===BBBHHHMMMSSS___kkkuuuxxxzzz{{{~~~}}}yyy}}}~~~~~~~~~}}}|||{{{{{{~~~~~~~~~~~~~~~}}}~~~{{{xxxuuurrrnnnjjjgggddd```^^^^^^]]]\\\ZZZ[[[```ggglll}}}~~~|||yyysssllljjjjjjfffgggrrrssshhhpppiii>>>555......111222111222000000000000000000000000000000000000000000000000222111000///.........///---............/////////................................................////////////////////////777333333...---===KKKGGG///000000///---///444999777DDDVVVjjjvvvjjj^^^UUUOOOMMMKKKHHHEEEDDDEEEDDD@@@===;;;<<<<<<999666666888;;;;;;999777777888999999999::::::666777===BBBYYY|||wwwdddVVVGGG;;;:::666000------...000000///............---------------------...///000000++++++++++++++++++++++++***++++++++++++***))))))+++++++++***************++++++******************++++++++++++++++++++++++------------....................................//////000000000000111111222222222222222222222222222222333333444444555555555666888GGGpppsssiiixxxbbbOOOJJJFFF@@@@@@BBB@@@???@@@???===@@@FFFNNNRRRYYY```eeehhhhhhhhhiiiiiijjjkkkllllllllllllkkklllllllllkkkkkkjjjiiiffffffggggggggghhhhhhhhhhhhjjjkkkpppwwwmmmfffcccaaa<<<;;;999888666555444444444333333333222222111111000000///...............------............------........................---------,,,,,,+++++++++,,,,,,,,,---------..............................---------............///////////////000222333444666DDDccczzzooo{{{ttt___HHHAAA===:::;;;999:::;;;<<<;;;:::999999@@@BBBJJJYYYgggkkkcccYYYSSSPPPSSSbbb|||uuuQQQDDD===555888BBB::::::===AAABBBFFFQQQ\\\iiimmmrrrvvv{{{}}}}}}|||~~~~~~}}}}}}~~~}}}{{{zzzzzz{{{}}}~~~~~~}}}~~~~~~}}}|||}}}}}}~~~}}}{{{~~~~~~yyyuuuooolllhhhccc___\\\YYYXXXYYYYYYZZZ\\\```gggooovvv~~~zzzuuullleeecccaaaccclll}}}rrrkkkjjjzzzZZZ;;;555000///111222000///000000000000000000000000////////////////////////000000///...............---------.........//////................................................////////////////////////222///333111+++222666...---///111222222222555777222999BBBJJJVVVjjj{{{rrrmmmiiiddd___]]]\\\XXXQQQJJJFFFDDDAAA???>>>=========???===<<<;;;:::;;;:::::::::<<<888888>>>EEE]]]}}}gggTTTGGG???999444777444111////////////...------------------------+++++++++,,,---...///000******************************+++++++++******)))************************+++++++++***************++++++++++++++++++++++++,,,,,,---------.................................////////////000000000111111111111111222222222222111222222333444444555555555999777===^^^{{{eee}}}~~~ggg\\\LLLAAAJJJEEECCCBBBDDDAAA>>>???CCCIIINNNUUU]]]cccfffffffffffffffggghhhiiiiiiiiiiiiiiiiiijjjjjjiiihhhhhhgggeeeeeeffffffffffffgggggghhhiiijjjooo~~~sssggg^^^ZZZYYY<<<;;;999888666555444444444444444444333333333333000000///...............------............------........................+++++++++,,,,,,---------,,,,,,,,,---------------........................---------............///......//////000111222333999===QQQyyyqqqiiirrrzzzfffPPP???;;;???999999:::;;;======<<<<<<;;;===CCCOOO[[[bbbaaa^^^UUURRRPPPSSS___rrryyygggTTT???666999777666777:::<<<>>>DDDLLLWWWZZZbbbjjjqqquuuxxxzzz|||~~~}}}|||zzzyyyyyyzzz|||}}}}}}}}}|||{{{zzzyyyzzz{{{{{{~~~~~~}}}}}}~~~~~~zzzxxxzzz|||xxxxxxwwwwwwvvvrrrmmmhhhdddbbb^^^ZZZVVVUUUUUUVVVUUUXXX^^^dddlllvvvxxxssslllddd___```___iiixxxsssiiibbbiiixxxoooGGG777555111000111222000...////////////////////////........................------------------,,,,,,------------....................................................................................,,,***111444///222555,,,222222222000///...//////333666888888:::BBBOOO[[[ppp~~~zzzsssddd]]]VVVRRRRRRNNNEEE===@@@@@@???>>>===<<<======???BBB;;;777:::@@@TTTsssxxxhhh^^^TTTKKK@@@888444333333444000...---...000111000///,,,,,,,,,,,,------------))))))******+++,,,---...************************)))******+++++++++******************************************************++++++++++++++++++++++++,,,,,,,,,------------..............................////////////000000000000000000111111222222222111111222222333444444555111666444666PPPnnnppp~~~YYYDDDNNNEEECCCCCCDDDBBB>>>>>>BBBEEEJJJQQQXXX^^^aaabbbbbbccccccdddeeeffffffffffffffffffggggggggggggffffffeeeeeeeeeeeefffffffffffffffhhhjjjoootttggg[[[UUUSSS;;;:::999777666555555555444444444444444444444444000000///...............------............------........................)))***++++++---......///------------------------........................---------............///......///000000111111222555777BBB```wwwjjjeeejjj}}}nnnMMM===<<<:::999888:::===@@@AAA@@@;;;<<>>;;;888222......///...///111000///......///...---+++++++++,,,,,,,,,,,,,,,---))))))))))))***++++++,,,************************))))))***++++++++++++******************+++++++++))))))*********+++++++++++++++++++++++++++++++++,,,,,,,,,,,,------------------------------------......////////////000000//////000000111222222222111111222222333333444444111555666888IIInnnpppoooNNNJJJEEECCCBBBCCC@@@<<<<<<@@@@@@DDDJJJQQQWWWZZZ\\\]]]``````bbbcccccccccccccccbbbbbbcccdddeeeeeeeeeeeecccdddddddddeeeeeeeeeeeeccceeegggmmm~~~~~~zzzmmm___UUUQQQ:::999888777666666666666333333333333333333333333000000///...............------............------........................+++++++++,,,,,,---------------------------------........................---------............///......///000000111111111///444999JJJuuu}}}tttsssqqqtttlllLLL???===:::777888<<<@@@CCCDDD???>>>===<<<>>>CCCIIINNN\\\\\\^^^___YYYRRRTTT[[[iii~~~uuueeeRRREEE:::999;;;:::999999;;;<<>>999555222111222111---,,,000111------000444222000......,,,)))'''***+++++++++,,,,,,,,,,,,+++***************++++++************************))))))***+++++++++++++++))))))*********+++++++++(((((()))***+++,,,,,,---++++++++++++++++++++++++++++++,,,,,,,,,---------------------------------........./////////000000/////////000111222222222111111111222333333444444333444777;;;CCCYYYaaaMMMIIIFFFDDDCCC???;;;;;;???<<>>BBBIIIPPPWWW\\\___\\\]]]^^^___````````````\\\]]]___aaacccdddeeeeee````````````aaaaaaaaaaaabbbcccbbbcccppp||||||}}}wwwlllhhhjjjiiiuuu{{{jjj[[[RRR999777666666777777666444555555444333222000000///////////////....................................///............---------,,,,,,,,,---------......+++,,,---/////////..............................---------............///000000000000111111111111333444444:::RRRzzz~~~XXXEEE???:::999888999AAAJJJHHHDDD???;;;999:::<<<===HHHMMMUUU___fffeee^^^WWWccchhhnnnsss}}}}}}eeePPPEEE@@@===;;;===;;;999888;;;???EEEHHHNNNQQQTTTUUUVVVZZZ___cccggghhhiiijjjkkkllllllmmmkkklllmmmmmmlllkkklllnnnmmmllllllkkkkkkkkkllllllqqqqqqpppnnnjjjgggfffgggkkkiiieeebbb___\\\XXXVVVUUUSSSPPPMMMLLLLLLMMMNNNIIIIIILLLRRR]]]kkkwww{{{wwwvvvuuupppddd[[[TTTOOOOOOVVVYYY\\\kkk|||{{{tttfffSSSDDDCCCPPP^^^hhhLLL<<<555222000111///---...111222000...000000//////.........---///......---------............---,,,,,,+++******.........------,,,,,,,,,///............---------,,,,,,---......---,,,,,,+++222777555...))),,,000..................------000000000000///////////////////////////////////////000111222444555666777???BBBHHHPPP[[[fffpppuuu~~~bbbKKK<<<444111000//////.........//////++++++++++++,,,,,,---...------,,,,,,,,,,,,+++++++++***************++++++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))+++++++++*********))))))******+++++++++,,,,,,,,,***++++++,,,,,,++++++***......---------,,,,,,,,,////////////000000000000000000111111111111000000000000000111222222333333222000333666555>>>]]]}}}ooofffPPPMMMFFF@@@@@@BBBCCC@@@======???CCCIIIOOOUUUYYYZZZ\\\^^^___^^^^^^___```]]]]]]^^^^^^___`````````bbbaaa```^^^^^^```aaabbbcccbbbbbbfffmmm{{{zzzqqqrrrtttwwwwwwqqqggg```iiitttvvvcccRRR;;;999888777888888666555555444444333111000000///////////////................................................------------,,,,,,,,,---------......,,,---.../////////..............................---------............/////////000000000111111111000111222666DDDaaabbbNNN>>>:::999555666;;;CCCBBBAAA???===<<<;;;:::>>>BBBJJJTTT]]]aaa```^^^ZZZ```eeekkkttt~~~~~~ooo[[[III>>>:::999999888888999:::;;;@@@CCCFFFIIIJJJNNNSSSWWWWWWXXXZZZ]]]```bbbdddeeeaaabbbccccccbbbbbbdddeeeiiiiiihhhfffeeeeeeddddddeeefffeeebbb^^^\\\[[[[[[YYYXXXVVVUUUSSSQQQOOOMMMKKKIIIGGGEEEEEEFFFGGGIIIJJJMMMSSS\\\hhhttt}}}zzzwwwvvvtttpppkkkhhheee___VVVNNNNNNKKKMMMXXXcccjjjqqqvvvhhh\\\OOOHHHFFFPPPfff{{{~~~[[[AAA444111000///111///---...000111000...............---------,,,......---------......///,,,,,,,,,,,,,,,,,,---.........---------,,,,,,,,,............------------,,,,,,---......---,,,,,,,,,111555444...+++,,,///.........---------------////////////////////////////////////////////////////////////000000111111000111333777<<>>===;;;;;;;;;>>>CCCIIIOOOSSSUUUXXX[[[\\\\\\]]]^^^```\\\\\\\\\]]]^^^^^^______aaa___^^^]]]]]]^^^___aaa```^^^^^^```eeepppxxxqqqnnnkkkkkknnnsssxxxvvvmmmeeeeeeqqq~~~lll\\\===;;;999888888888666444444444333222111000000///////////////................................................------------,,,,,,,,,---------.........//////000//////...---........................---------............/////////000000000000111111//////111444666DDDeeeuuudddDDD======666222555<<<>>>@@@BBBAAA???;;;999888:::???GGGQQQYYY^^^aaa___aaabbbdddkkkpppmmmffftttiiiXXXJJJGGGAAA<<<999888999:::444666888;;;<<>>@@@CCCHHHMMMNNNSSSYYY\\\[[[XXXUUUTTTUUUTTTUUUWWWXXXXXXWWWUUUKKKFFF===555///---...///......---------......///,,,++++++++++++,,,,,,---,,,,,,,,,,,,++++++++++++,,,,,,+++***)))))))))***))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))+++************)))))))))*********++++++++++++,,,***++++++,,,,,,++++++***...............---------....../////////000000000///000000111111000000/////////000111111222222333555111222555555888HHHZZZxxxvvvlll[[[LLLHHHFFF@@@===>>>;;;:::999:::===CCCIIILLLOOORRRVVVYYYZZZ[[[]]]___ZZZZZZ[[[[[[\\\]]]]]]^^^^^^]]]\\\[[[[[[\\\]]]^^^]]][[[[[[\\\^^^eeesss~~~~~~sssmmmnnnllliiiiiipppxxxyyyqqqiiicccooo~~~ssseee===;;;999888888777555333333333333222111000000///////////////.............................................---------,,,,,,,,,,,,,,,---------......000000000//////......---........................---------............///////////////000000000111333///000444222444NNNlll~~~zzzOOOCCC@@@888666===666999===AAABBBAAA>>>===<<<;;;;;;>>>DDDLLLTTTYYYfffeeebbbaaaeeeggg```VVVSSSlll~~~iii```QQQCCC:::888:::<<<444555666777777999;;;<<>>AAA[[[vvvqqq[[[AAA111000333333000000///////////////......---------,,,,,,,,,,,,,,,++++++,,,,,,---...///000555222///+++))))))***+++------------------------.........---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,............///...,,,+++,,,,,,,,,,,,,,,------------...............//////........................111111000000//////......444333222111111111111111444555666444222222444666555777:::;;;;;;:::;;;;;;:::999999:::;;;;;;999777666333000---,,,,,,---///---------,,,------......,,,+++++++++++++++,,,,,,,,,,,,,,,++++++++++++***,,,,,,+++***))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************))))))))))))************++++++++++++***++++++,,,,,,++++++***................................./////////000000//////000000000000////////////000000111222222222333000000444555666>>>GGGcccfffLLLFFFFFFBBB@@@BBB???===;;;:::<<<@@@EEEHHHKKKOOOSSSVVVXXXYYY[[[\\\YYYYYYZZZ[[[[[[\\\\\\]]]\\\\\\[[[[[[[[[[[[\\\\\\]]][[[[[[\\\\\\___iiisss}}}~~~}}}vvvyyyuuuooolllqqqyyyzzzqqqhhhcccnnn|||uuuhhh<<<:::888777777666444222333222222111111000000000////////////.......................................------------,,,,,,,,,,,,,,,,,,---------......000000//////.........---........................---------............///...////////////000000000444------333333222BBBWWWeeePPPDDD888666>>>555666999;;;>>>@@@AAABBB???===:::888:::???FFFKKKYYY\\\^^^bbbgggfffZZZMMMKKKZZZrrrnnn\\\LLL@@@:::888999888666666777999:::;;;888999:::;;;===>>>???@@@AAABBBDDDEEEEEEEEEGGGIIIGGGGGGHHHHHHHHHGGGFFFEEEEEEFFFFFFEEEBBB@@@AAAAAA@@@AAABBBAAA@@@???AAACCC@@@CCCHHHPPPYYYaaahhhlllxxxyyyzzzxxxssskkkccc]]]eeegggiiigggbbb^^^]]]^^^PPPQQQOOOJJJEEEDDDHHHMMMMMM[[[gggkkkmmmjjjYYYFFFBBBCCCWWW}}}}}}YYYJJJ888000222555222...////////////...------...---------------------...+++++++++,,,,,,...///000444222...+++))))))***+++------------------------...------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...,,,+++,,,......,,,***++++++++++++,,,,,,------,,,,,,------............------------------------/////////000000000000000------------...///000000+++---///000000000111222111222333222111111333444222111000111222222000//////......---------......,,,,,,,,,,,,,,,---......,,,++++++******+++++++++,,,,,,+++++++++*********,,,++++++***))))))******))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))*********+++++++++***++++++,,,,,,++++++***------..............................//////////////////000000000000//////...//////000111111222222000...///222444555888<<>>BBBDDDIIIMMMRRRUUUVVVWWWWWWXXXXXXYYYYYYZZZZZZ[[[[[[\\\[[[[[[[[[[[[[[[[[[[[[[[[[[[YYYZZZ\\\\\\\\\bbbjjj{{{xxxrrrssszzzzzzrrriiicccnnnzzzyyynnn;;;999777666666666444222222222111111111000000000////////////....................................------------,,,,,,,,,,,,,,,,,,,,,---------......///......---------..............................---------............///......////////////000000111++++++000222333;;;FFFdddmmmVVVBBB888777666666666666999===AAACCC;;;;;;999777777888===@@@CCCMMMYYYdddlllkkk___RRRJJJMMMUUUaaaooo~~~wwweeeUUULLL@@@<<<777444444555666666333333555666888:::;;;;;;999:::<<<<<<<<<<<<>>>???<<<===???@@@AAAAAA@@@???>>>???@@@???>>>===>>>???:::<<<>>>===<<<>>>CCCGGGNNNQQQXXXbbblllvvv~~~zzzmmmaaaYYY```bbbdddbbb\\\VVVSSSSSSHHHIIIHHHGGGFFFIIIPPPUUU^^^gggkkkfffZZZOOOFFF???GGGWWWvvv\\\BBB:::222///222333000,,,///000000///---,,,---...------------............,,,+++++++++,,,---.........---+++******+++,,,---,,,,,,,,,------------...------------,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,---+++***+++,,,,,,,,,***)))******++++++,,,,,,---++++++,,,,,,---.........------------------------++++++,,,---......//////******+++,,,,,,---------)))***,,,......///...---+++++++++***((((((***,,,+++***))))))***+++***(((******+++,,,,,,,,,,,,,,,++++++++++++,,,------...,,,++++++************+++++++++++++++************+++***************++++++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((()))))))))))))))***)))))))))************+++***++++++,,,,,,++++++***,,,,,,,,,---------------------........./////////...//////000000//////.........///000000111111222......000222444555666888AAA]]]zzzqqq~~~kkkTTTIIIFFFCCC@@@@@@???<<<;;;:::;;;===>>>FFFJJJOOORRRTTTTTTUUUVVVVVVWWWWWWXXXXXXYYYYYYZZZZZZZZZZZZZZZZZZZZZZZZZZZXXXVVVWWWZZZZZZYYY]]]bbbpppwwwvvvzzz{{{uuunnndddmmmxxxvvv:::999777777777777666444111111111111000000000000////////////....................................---------,,,,,,,,,++++++,,,,,,,,,---------......------,,,+++,,,,,,..............................---------............///........./////////000000,,,...//////000222555888EEEkkkeeeLLL;;;999888555444555888<<>>;;;999999:::999BBBMMMWWW```fffddd^^^QQQPPPNNNMMMQQQ\\\kkkvvvwww]]]UUUJJJAAA<<<:::888777666666666777777888888888555666888888777777888999666888:::<<<<<<<<<;;;:::999;;;<<<===<<<<<<>>>???<<<>>>AAABBBDDDJJJTTT[[[jjjlllpppuuu{{{uuuggg______bbbdddaaaYYYPPPKKKIIIHHHHHHHHHIIIMMMSSSZZZ___eeeccc^^^UUUGGG???DDDOOOeee}}}}}}]]]CCC555222//////000111///---...000111///,,,+++,,,...++++++,,,,,,------------,,,,,,,,,+++,,,,,,------++++++*********+++,,,,,,,,,,,,,,,---------......---------,,,,,,,,,++++++,,,,,,+++******+++,,,,,,+++++++++*********+++,,,)))))))))***+++,,,,,,,,,***++++++,,,------......,,,,,,,,,,,,,,,,,,,,,,,,******++++++,,,---------------..................000///............---,,,...///000///...---///000///...------///000///...(((((()))***++++++++++++************+++,,,---...,,,,,,+++***************++++++++++++************))))))))))))***+++,,,,,,))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))******))))))))))))***************++++++,,,,,,++++++***+++++++++,,,,,,,,,---------------.........//////......////////////............//////000111111111///111222222222444666777666HHHZZZyyytttiiiRRRKKKHHHCCC@@@???===<<<;;;;;;;;;;;;???DDDJJJOOOQQQSSSTTTUUUSSSSSSTTTUUUUUUVVVVVVWWWWWWXXXXXXXXXXXXXXXXXXWWWXXXUUUVVVYYYYYYWWWYYY]]]eee~~~|||xxxyyyxxxtttppphhhooovvv|||~~~www;;;999888888999999777666111111111111000000000000000/////////....................................---------,,,,,,,,,++++++,,,,,,,,,---------......,,,++++++***+++,,,...///........................---------.........//////............/////////000+++222555111...000333222888TTTvvvfffIII<<<:::777555444555888999???CCCFFFEEEAAA;;;888888777;;;>>>AAAIIIWWWaaadddeeeddd^^^RRRGGGGGGQQQ\\\[[[fffxxxxxxhhhYYYOOOIIIDDDAAA>>>===<<<:::999777666555555666777777666555777888555666888:::::::::888777888:::<<<======>>>@@@AAABBBFFFJJJMMMQQQZZZgggqqq~~~~~~}}}||||||{{{vvvhhh^^^^^^aaaddd```XXXNNNHHHEEEFFFFFFFFFIIIOOOWWW]]]aaaWWWNNNGGGCCC>>>AAAWWWooooooYYYDDD999111000//////000000111111...000111///,,,***,,,...*********++++++,,,,,,,,,------,,,+++++++++,,,,,,,,,,,,++++++***)))((((((,,,,,,,,,------.........---------,,,,,,,,,++++++---,,,+++******+++,,,---)))++++++***))))))+++---((())))))***++++++,,,,,,******+++,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------***++++++,,,,,,,,,++++++---+++))))))+++---//////(((***,,,,,,++++++,,,---***)))((((((***++++++***+++++++++,,,,,,++++++***************+++,,,---...,,,,,,+++***))))))******+++++++++************)))(((((())))))***+++------))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))'''((((((((())))))******))))))))))))************+++++++++,,,,,,+++++++++*********++++++,,,,,,,,,---------.........//////......////////////............//////000111111111000333555333111333555777555@@@IIIdddppp|||~~~zzzyyy[[[PPPNNNIII@@@@@@@@@???>>><<<;;;;;;:::???FFFLLLPPPRRRSSSUUUQQQQQQQQQRRRSSSSSSTTTTTTUUUVVVVVVWWWWWWVVVVVVUUUZZZWWWWWWYYYYYYWWWXXX[[[___zzzzzzvvvtttqqqnnnkkkqqquuuxxx{{{|||xxxqqq:::999888666555555555555222222222111111111111000......---------,,,,,,,,,+++,,,,,,---.........---++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......------............------------------------------////////////////////////.........//////000111222666===WWWyyyxxx]]]NNN>>>::::::333111555444:::???FFFJJJIIICCC;;;555888:::;;;999999>>>JJJSSS[[[```bbb]]]SSSKKKJJJLLLQQQVVV^^^iiivvvppp```TTTNNNKKKHHHCCC>>><<<<<<===???;;;999888888999999999888777999::::::::::::===???===AAA???;;;AAAOOOSSSNNNNNNRRRWWW\\\bbbkkkuuu}}}zzzuuutttttttttssstttvvvzzz~~~~~~ssscccVVVZZZXXXVVVSSSOOOKKKGGGEEE@@@GGGOOOUUUWWWVVVUUUUUUEEE<<<888;;;???MMMpppvvvZZZFFF;;;666......//////000000111111......---------,,,,,,,,,***++++++,,,,,,++++++***))))))*********+++++++++++++++++++++++++++++++++------,,,,,,,,,---......+++++++++*********))))))************************++++++++++++++++++++++++*********)))))))))))))))+++,,,,,,------,,,,,,+++++++++++++++++++++++++++,,,,,,,,,+++++++++******,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,++++++++++++++++++++++++,,,...------,,,,,,------...******+++++++++,,,,,,,,,+++++++++++++++++++++++++++++++++*********))))))************************)))************+++++++++((((((((((((((((((((((((******************************))))))))))))************))))))))))))******((((((((((((((('''''''''))))))))))))******************+++++++++,,,,,,,,,---------,,,,,,+++++++++,,,------......------,,,////////////000000000000............////////////222222333444555666888999:::;;;===OOO{{{kkkmmm}}}rrriiiWWWQQQEEEIIIEEEAAA>>>===<<<:::888;;;<<<>>>BBBGGGMMMSSSVVVSSSSSSSSSRRRRRRSSSWWWYYYbbb\\\UUURRRUUUWWWWWWUUUUUUUUUUUUVVVWWWXXXZZZZZZdddsss{{{wwwsssmmmhhhiiimmmtttzzz~~~|||vvvrrr:::999888666555555555555222222222111111111111000//////.........---------+++,,,------......------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------...------............------------------------------....................................///000111222111:::KKKfff}}}xxxWWWCCC999;;;999:::;;;555666888<<>>>>>@@@CCCEEEJJJLLLLLLVVVfffkkkfffcccdddgggiiilllsss{{{~~~yyysssmmmjjjgggeeecccjjjkkknnnssssssmmm```VVVPPPNNNKKKHHHEEEDDDCCCCCCOOOQQQSSSSSSPPPKKKGGGDDD===777999FFFUUUiiiiiiMMM:::222000....../////////000000000...------------,,,,,,,,,***++++++,,,,,,++++++*********************++++++++++++++++++++++++++++++,,,,,,,,,+++,,,,,,---...+++++++++*********))))))************************++++++++++++++++++++++++***)))))))))))))))))))))+++,,,,,,------,,,,,,+++++++++++++++++++++++++++,,,,,,+++++++++*********,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,++++++++++++***************++++++************++++++*********+++++++++,,,,,,+++++++++++++++++++++++++++++++++*********))))))************************))))))*********+++++++++(((((((((((((((((((((((())))))))))))))))))))))))******))))))))))))******))))))(((((((((((())))))((((((((((((((((((((('''(((((()))))))))******************+++++++++,,,,,,------,,,,,,,,,+++++++++,,,,,,------------,,,,,,........./////////000000............////////////111111111222333444555666333666888EEEjjjpppjjjssstttuuulll]]]MMMEEEBBB???>>>>>>>>><<<::::::;;;<<>>888444888;;;III```yyyoooRRR<<<000,,,---.........///////////////------------,,,,,,,,,,,,***++++++,,,,,,++++++***++++++******************************************++++++******++++++,,,---+++************)))))))))************************++++++++++++++++++++++++))))))))))))))))))******++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++,,,++++++++++++*********++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++,,,++++++******)))))))))++++++************++++++*********++++++++++++,,,+++++++++++++++++++++++++++************)))))))))************************)))))))))*********++++++((((((((((((((((((((((((((((((((((((((((((((((((***))))))(((((())))))***((((((''''''''''''((((((''''''(((((((((((((((((((((((())))))))))))***************++++++++++++,,,,,,,,,,,,,,,++++++++++++,,,,,,------------,,,,,,---------.........//////............////////////000000000000000111222333000333444999RRR~~~yyysssqqqrrrzzzyyysssuuu|||~~~mmmqqq{{{mmmVVVGGGDDDAAA@@@AAAAAA>>>;;;:::::::::<<<@@@EEEKKKNNNOOOQQQSSSSSSRRRRRRSSSTTT```[[[UUUSSSSSSTTTSSSQQQUUUUUUUUUUUUVVVXXXYYYZZZYYYdddtttzzzqqqiiiccccccgggnnnsssuuussspppmmm:::999888666555555555555222222222111111111000000////////////.........---,,,,,,------...------,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------,,,------......------,,,------------------------.......................................///111111///333444777KKKtttyyy]]]DDD;;;;;;444666666555666999???GGGKKKKKKGGG@@@:::666555555555222555999:::;;;???EEEKKKUUUYYY___bbbcccbbbaaa```cccjjjsssyyyyyytttoookkkppprrrvvvzzz}}}yyyyyyyyyxxxxxxyyy{{{}}}~~~{{{xxxttttttuuuwwwxxxxxxwwwvvv|||tttpppiiiaaa\\\ZZZ[[[]]]\\\[[[[[[]]]^^^___^^^\\\YYYVVVSSSPPPNNNKKKFFFBBB@@@@@@BBBDDDHHHMMMQQQSSSKKKFFFAAA===;;;:::888666===NNNjjjpppQQQ<<<333///...///........................---------,,,,,,,,,++++++***++++++,,,,,,++++++***+++++++++***************))))))))))))))))))))))))*********)))***++++++,,,************))))))))))))************************************************)))))))))))))))*********++++++,,,,,,,,,,,,++++++************************++++++++++++************++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++------,,,+++******)))))),,,,,,++++++++++++,,,,,,************++++++++++++************************************))))))))))))************************))))))))))))************(((((((((((((((((((((((((((((((((((((((((((((((())))))(((((((((((())))))'''''''''&&&&&&'''''''''''''''''''''(((((((((((((((((((((((()))))))))***************++++++++++++,,,+++++++++++++++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,---------..................////////////000000000//////000111111111555666333<<<^^^xxxjjj```vvvzzz~~~lllhhhQQQLLLFFFDDDDDDCCC???::::::999888999;;;@@@EEEHHHKKKMMMPPPRRRQQQQQQQQQQQQUUURRROOONNNPPPQQQQQQQQQSSSSSSSSSSSSTTTUUUVVVWWWWWW]]]gggxxx}}}sssjjjdddaaaffflllppppppooolllkkk:::999888666555555555555222222222111111111000000.........---------,,,,,,,,,------...------,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------,,,,,,------------,,,,,,------------------------........................------------...///000111222///222888===QQQ___KKKFFF@@@333666777555222444<<>>BBBHHHPPPWWWZZZ[[[\\\\\\YYY]]]aaacccaaa]]]YYYXXXUUUXXX\\\bbbiiipppuuuxxxtttvvvzzz|||}}}~~~zzzsssnnnooossssssqqqlllggg___WWWSSSQQQPPPQQQNNNNNNNNNQQQSSSTTTSSSQQQPPPLLLHHHCCC@@@>>><<<;;;:::<<>>AAABBBBBB@@@>>><<<888666222///111:::EEENNNggg|||cccHHH///+++111222...------------------,,,,,,,,,,,,,,,,,,,,,++++++++++++***++++++,,,,,,++++++***))))))*********+++++++++******************************))))))******+++,,,(((((()))))))))))))))***************************************************((((((((()))******++++++******++++++++++++******************************+++************)))))))))))))))))))))))))))))))))******++++++++++++******---,,,,,,++++++*********))))))(((((((((((()))))))))))))))************+++************************(((((()))))))))))))))***))))))))))))))))))))))))((((((((()))))))))******(((((((((((((((((((((((()))))))))))))))))))))))))))((((((''''''(((((()))''''''&&&&&&&&&&&&''''''&&&&&&''''''((()))))))))''''''(((((((((((()))))))))))))))************+++*********+++++++++++++++++++++,,,,,,,,,,,,++++++,,,,,,,,,---------..................////////////000000000000000111222333...000444444111<<<^^^ggg```rrrsssqqqzzzqqq}}}lll```PPPGGGFFFFFFCCC@@@<<<;;;999888888:::;;;<<<@@@DDDHHHKKKLLLLLLMMMNNNPPPPPPPPPOOOOOONNNMMMMMMNNNNNNNNNNNNNNNOOOPPPPPPUUUVVVXXX^^^rrrvvvmmmiiicccgggkkkllliiifffeeefff:::999888666555555555555222222222111111111111000............------------------......------,,,+++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,***++++++++++++,,,,,,,,,+++,,,,,,------,,,,,,+++------------------------------------------------------------...///000000000///222666444999UUUtttpppSSSEEEAAA;;;666333222333444555===GGGMMMJJJDDD===999555555444333222222444555222555:::<<<>>>@@@BBBCCCFFFKKKQQQUUUVVVUUUTTTTTTNNNMMMLLLKKKLLLMMMOOOPPPRRRYYYaaaeeeeeedddfffiiilllnnnnnnmmmkkkhhhgggggggggccc```bbbddddddcccaaaccc^^^YYYVVVTTTSSSPPPNNNIIIGGGDDDCCCBBB@@@>>>;;;;;;;;;:::::::::<<>>AAAGGGGGGGGGIIILLLPPPSSSVVVQQQPPPQQQVVV\\\]]]XXXSSSNNNPPPQQQRRRRRRQQQPPPNNNMMMNNNQQQXXX]]]]]]XXXRRRQQQNNNHHHBBB===;;;999999666666555555555555666666888777555777;;;===<<<::::::777333111222444666777;;;HHHXXXhhh{{{~~~wwwrrr```HHH;;;555000000000000///...---,,,---,,,+++***))))))))))))************************************************)))************+++++++++************))))))))))))(((((())))))))))))(((((((((((()))***************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))+++++++++*********))))))))))))))))))))))))))))))+++*********))))))((((((((((((((((((((()))******))))))************))))))***)))(((''''''((()))***))))))))))))))))))))))))'''''''''''''''((())))))(((((((((((('''''''''''''''''''''''''''''''''''')))'''%%%&&&)))***(((&&&))))))((('''''''''''''''''''''''''''''''''''''''((()))***,,,+++***(((''')))************+++++++++************************...------,,,,,,,,,------,,,,,,,,,---------........................------///////////////000111111111111000000111666<<>>555111000000000///...------,,,---,,,+++***))))))))))))************************************************))))))*********+++++++++************))))))))))))(((((())))))))))))(((((((((((()))************)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))+++++++++*********))))))************************************)))))))))(((((((((((((((((()))******)))))))))******)))))))))***)))(((''''''((())))))))))))))))))))))))))))))'''''''''''''''((())))))(((((((((((('''''''''''''''''''''''''''''''''''')))'''&&&'''))))))(((&&&))))))(((''''''''''''''''''''''''''''''''''''''''''(((***++++++***((('''))))))*********+++++++++************************...------,,,,,,,,,------,,,,,,,,,------------.....................------///////////////000000111000000000000111555:::>>>CCCggglllYYYUUU^^^}}}xxxbbbJJJAAA@@@BBB@@@===;;;;;;<<<999777777888:::===@@@DDDGGGIIIJJJJJJIIIIIIJJJKKKLLLMMMLLLLLLLLLLLLMMMMMMMMMMMMLLLLLLLLLLLLNNNTTT\\\bbbgggyyy{{{tttmmmgggdddeeellllllccc]]]^^^[[[SSS888999999999888666444333222222111111000/////////...------------,,,,,,,,,///......------,,,,,,,,,---,,,,,,++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,************************,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,---------......+++...000000///111555:::>>>gggxxx[[[FFF???@@@:::444111222222000000222444555777999;;;<<<======:::777333111111222222222111111111000111222333444666666666777999<<>><<<<<<>>>AAACCC???>>>>>>@@@BBBAAA===999888777444222111111222333222222333444555777888999999777555444444444333111111111111333777===CCCFFFaaasss}}}yyymmmzzzzzzZZZNNN???333///.../////////......---,,,,,,,,,,,,+++***))))))))))))))))))))))))))))))))))))************************)))))))))*********++++++************))))))))))))(((((())))))))))))(((((('''((())))))******))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))+++************)))))))))++++++++++++++++++++++++************))))))))))))((((((((((((((()))******))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))'''''''''''''''((())))))(((((((((((('''''''''''''''''''''''''''''''''''')))'''&&&'''((()))(((''')))((((((''''''''''''(((''''''''''''''''''''''''&&&'''))))))***)))(((''')))))))))*********++++++************************------,,,,,,,,,,,,------,,,,,,,,,,,,------------------------------......//////......//////000111...000111111111333666999666OOOrrrlll]]]OOOYYY|||zzzYYYHHHFFFAAA@@@???>>><<<999777666555666777999<<>>CCCBBB???<<<999666333111444444444444333333333222000000000111222444666777888666555666999::::::999:::888555444444555888:::777555444444555555333111555444222000//////000000111111111222333444666777333222111000000111111111333333666;;;EEESSSaaajjj~~~xxxpppuuu|||eeeGGG===333---...---///......------,,,,,,,,,,,,++++++***))))))******((((((((((((((((((((((((************************))))))))))))************************)))))))))((((((((())))))))))))(((((('''(((((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************))))))))))))*********************************)))))))))))))))((((((((((((((())))))***)))))))))(((((()))))))))((((((((((((((()))))))))))))))))))))))))))))))))'''''''''''''''((())))))((((((((((((''''''''''''''''''''''''''''''''''''((((((''''''(((((((((''')))(((''''''''''''((((((''''''''''''''''''''''''&&&'''(((((()))(((((('''))))))))))))************************************,,,,,,,,,+++,,,,,,------++++++,,,,,,,,,---------,,,,,,------------......///............///000000---///111111111111333444999AAAVVVvvv|||___OOO^^^|||yyy^^^QQQBBB@@@??????<<<888666888666666555666888<<<@@@CCCDDDEEEEEEFFFGGGIIIJJJJJJJJJJJJJJJIIIIIIHHHHHHHHHFFFGGGIIIIIIIIIKKKNNNPPPNNNVVVaaajjjrrrzzz}}}zzzvvvuuuqqqmmmhhhddd```^^^bbbffffff___ZZZXXXTTTOOO999888888777666555444333222222111111000/////////000////////////.........)))***+++,,,------,,,,,,+++++++++,,,,,,---------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++++++++++++++,,,,,,,,,------,,,,,,,,,---------......+++---............//////444777EEEbbbwwwYYYOOOEEEAAA>>>777333111///000000222444777999;;;CCCDDDEEECCC@@@;;;666444444444555555555444222111/////////000000111222222222111000000111333333333222222222222222222222222111000//////000111111000222222111000///000000111111111000000000111222222333333222222222333555666999@@@LLLYYYhhhxxxtttiiimmmnnnMMM999555///---000///...---,,,,,,+++,,,,,,---,,,+++******)))*********(((((((((((((((((((((((())))))))))))))))))))))))(((((()))))))))*********************)))))))))((((((((())))))))))))((((((''''''((()))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))******((((((((((((((())))))***))))))(((''''''((())))))''''''((()))))))))))))))(((((((((((((((((((((((('''''''''''''''((())))))(((((((((((('''''''''''''''''''''''''''''''''''''''(((((((((''''''((((((((((((''''''''''''((((((''''''''''''''''''''''''&&&&&&'''((((((((((((((((((((()))))))))*********************************+++++++++++++++,,,---...+++++++++,,,,,,,,,------,,,,,,,,,,,,------.....................//////000---...000111000000111222999555???^^^aaaVVVmmmrrruuuzzzzzzaaaIIICCC??????===888777:::999777666555666888;;;===AAABBBCCCEEEGGGHHHIIIIIIHHHHHHHHHGGGGGGFFFFFFFFFDDDFFFGGGHHHGGGGGGHHHJJJJJJKKKMMMSSSZZZcccmmmuuu}}}{{{wwwuuuwww|||}}}xxxvvvuuurrrqqqoookkkgggbbb^^^[[[YYY]]]``````[[[VVVRRROOOLLL999888777666555555444444222222111111000/////////...------------,,,,,,,,,+++++++++,,,,,,,,,------******+++,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,---------......,,,,,,---------.........---000999FFF[[[}}}uuuyyy~~~pppaaaVVVMMMAAA777333333222111111111333555777999<<>>;;;888777777888:::;;;;;;:::888777111111111111111111111111222222111111111111222333---///111222222111///---...............000111111,,,------...///000222222111111000//////000000111222333333333333555999<<>>@@@CCCEEEFFFGGGGGGFFFFFFEEEEEEEEEEEEEEEEEEDDDEEEFFFFFFEEEDDDEEEGGGLLLHHHFFFIIIMMMUUUbbbnnnvvvsssmmmhhhiiiooossssssvvvxxxyyywwwzzz}}}}}}yyy}}}}}}uuupppnnnmmmjjjjjjhhhddd```\\\XXXVVVUUUVVVXXXXXXVVVQQQMMMJJJIII999888777666555444444444222222111111000/////////...------------,,,,,,,,,111000...---,,,,,,------)))***+++---......------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,***************************++++++++++++,,,,,,,,,,,,,,,,,,---------......---,,,+++,,,---.........+++000666:::AAAYYYvvvqqqdddTTTFFF@@@;;;999666333111222333555111444777777666555666888888:::===@@@@@@???===<<<333333333333222111000000111222222222111000111111---...000222222000...---.../////////...///000111,,,------...//////000111000000000000111111222333000333666999===BBBJJJOOOggguuuqqqfffddd______lllzzz|||xxxbbbLLL;;;///000555000---///...---,,,+++******+++,,,---+++***************++++++************************))))))))))))))))))))))))(((((((((((()))))))))***************))))))))))))(((((())))))))))))((((((&&&'''(((((())))))(((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))(((((((((((())))))******((((((((((((((((((((((((((()))))))))************((((((((((((((()))*********)))'''&&&&&&''')))***%%%&&&((()))*********)))(((((((((((((((((((((((('''''''''''''''((())))))((((((((((((''''''''''''''''''''''''''''''''''''&&&((())))))'''&&&''')))'''''''''''''''((())))))''''''''''''''''''''''''(((((((((((()))***++++++(((((((((((()))))))))***************************************+++,,,---...***++++++++++++,,,,,,,,,***++++++,,,------.........------------...//////---...//////...///111333000444777AAAZZZwwwjjjooo}}}nnn~~~~~~~~~rrrvvvnnnZZZHHHCCCAAA<<<:::>>>999888888777777888888999999:::===???BBBCCCCCCDDDCCCCCCCCCCCCDDDDDDDDDDDDDDDEEEFFFEEEDDDCCCEEEFFFKKKHHHGGGIIIJJJNNNYYYeeeqqqnnnfff___```hhhllljjjhhhkkkmmmkkklllppprrrqqqtttvvvtttmmmgggfffeeecccbbb```]]]YYYVVVTTTSSSSSSPPPQQQRRRQQQMMMHHHFFFFFF999888777555444444444444222222111111000/////////000000/////////.........777555222///,,,,,,,,,---)))***+++---......------------------------------************************,,,,,,,,,,,,,,,,,,,,,,,,******************************+++++++++,,,,,,,,,,,,,,,,,,---------.........,,,++++++,,,...//////222111222555:::KKKjjjzzz|||wwwfffWWWPPPBBB???:::666333222333444111222333111//////333777333666:::===>>>===;;;:::444444444333222111000//////000111111000......///...///000000000000///......///000000...---...///111111111000///...------000000000111222444555666333777>>>EEELLLVVVaaahhh}}}{{{wwwkkk]]]TTT]]]mmm|||pppjjj^^^MMM???333+++000666///***---+++---,,,***))))))+++,,,...+++***************++++++************************))))))))))))))))))))))))(((((((((((())))))))))))************))))))))))))(((((())))))))))))((((((&&&''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))'''((((((((())))))******))))))))))))))))))))))))(((((())))))*********+++((((((((((((((()))*********((('''&&&&&&'''(((***%%%&&&((()))*********)))(((((((((((((((((((((((('''''''''''''''((()))))))))(((((((((''''''''''''''''''''''''''''''''''''&&&(((***)))&&&%%%''')))'''''''''''''''((()))***''''''''''''''''''''''''(((((((((((()))***,,,,,,(((((((((((())))))))))))************************************+++,,,---...******+++++++++,,,,,,,,,******+++,,,,,,---.........------------...//////......///......///222555...555444111BBBeee|||yyypppmmmsssyyy{{{uuujjjhhhxxxtttvvv}}}dddMMMFFFDDD>>>;;;>>>777777888999999999999:::555777:::===???@@@AAAAAAAAABBBBBBCCCCCCDDDDDDDDDEEEFFFFFFEEECCCCCCEEEFFFDDDCCCEEEHHHGGGFFFNNNZZZhhhfff^^^VVVWWW```dddbbb___cccddd```aaafffkkklllhhhjjjhhhaaa]]]^^^^^^\\\[[[ZZZWWWUUUSSSRRRRRRRRRLLLMMMNNNNNNKKKFFFDDDEEE999888777666444444333333333333222222111000000000---------...............EEE:::///***+++......,,,+++++++++,,,,,,---------//////...---,,,++++++******+++,,,,,,******+++,,,---***)))***---///---+++******+++++++++,,,,,,,,,******+++++++++,,,,,,,,,***+++,,,,,,------,,,,,,------------------------///222333000000888IIIWWW|||kkkkkkxxx}}}tttbbbTTTAAA888888::::::888555222///---.../////////333444444555666666666666222000---...000111000...//////000000000000000111,,,,,,,,,---......//////333111///.........---,,,///......///000000///---,,,...111333555999===@@@DDDLLLWWWbbbpppwwwooowwwwwwxxxyyylll^^^YYY]]]pppnnn```UUUFFF777...------------------------+++++++++*********))))))+++++++++++++++++++++,,,************************))))))))))))))))))))))))'''((()))******)))((('''))))))((((((((((((((()))+++++++++***)))(((((('''%%%&&&&&&''''''''''''''')))((('''&&&&&&'''((()))((((((''''''''''''((((((''''''((()))))))))))))))((()))***)))'''&&&&&&'''******)))(((((((((((((((&&&&&&&&&''')))((('''%%%''''''((((((((((((''''''((((((((((((((()))***************)))))))))))))))''''''(((((((((((('''''')))'''&&&'''***+++***(((''''''''''''((((((((((((((((((''''''''''''((((((((((((((((((((('''&&&&&&((((((''''''''''''((((((&&&'''((('''&&&%%%&&&((())))))))))))))))))))))))''''''((((((((((((((((((&&&'''''''''(((((())))))''''''''''''((((((((()))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))************+++---------++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,,,,,,,,,,---------.....................///000000222...///444777BBB___}}}yyynnnzzzwww{{{kkkjjjyyyuuukkkdddYYYfffrrrmmmzzz}}}eeeQQQGGGBBB@@@>>>:::>>>>>>999666999999555777777888:::<<>>:::>>>>>>999777::::::777555666666888999<<<===>>>AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEEEDDDCCCCCCDDDFFFHHHIIIHHHGGGFFFFFFFFFGGGHHHIIILLLKKKJJJJJJKKKMMMOOOPPPTTTTTTTTTSSSQQQNNNKKKIIILLLJJJIIIIIIKKKJJJHHHEEEEEEDDDCCCAAA@@@??????>>>999888777555444444444444333333222222111000000000/////////...---------,,,---------.........---,,,---,,,,,,,,,,,,,,,,,,+++------------,,,,,,,,,,,,***+++,,,,,,******+++,,,******+++---111333444444******+++++++++,,,,,,,,,******+++++++++,,,,,,,,,***+++,,,,,,------,,,,,,---------------------------.........---...111444777GGG___rrr```XXXfff{{{uuuhhh\\\PPPGGGCCC???:::666555444444333111000000000000000//////111///------///111222222111///...000222222///,,,............------------000000000000000111222222000111222444555666777777;;;@@@EEEIIINNNZZZkkkxxx|||wwwzzz{{{yyyssslllooo}}}yyydddYYYVVV[[[kkk{{{gggaaaYYYNNN>>>///+++---,,,,,,,,,,,,,,,,,,,,,,,,+++++++++***************************************************************))))))))))))))))))))))))(((''''''''''''''''''((())))))(((((((((((())))))+++******))))))(((((('''''''''((()))))))))((((((((((((''''''''''''((((((((((((''''''''''''((((((''''''((()))))))))))))))'''((()))((('''&&&'''((()))(((''''''&&&'''''''''((()))*********)))((((((''''''((((((((((((''''''((((((''''''(((((()))***))))))))))))))))))))))))((())))))******))))))(((((('''&&&''')))***)))(((''''''''''''((((((((((((((((((''''''''''''(((((())))))******))))))((((((((((((''''''''''''((((((&&&((())))))(((((()))+++(((((((((((((((((((((((())))))(((((('''''''''&&&''''''''''''((((((((((((((((((((((((((('''''''''(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))************)))***++++++***)))***,,,,,,,,,,,,,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,,,,,,,,,,,,,------------.........---......///000///---...000///111BBBUUUtttxxxkkkdddaaannnmmmvvvjjjYYYsss~~~zzzhhhYYYkkkmmmiiimmm~~~ppp[[[HHH???===;;;===<<<999999;;;;;;999777777777777888999:::;;;???@@@AAAAAAAAA@@@??????@@@@@@@@@@@@@@@@@@@@@@@@EEEDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCBBBBBBDDDCCCBBBBBBBBBDDDEEEFFFIIIJJJJJJIIIHHHFFFDDDCCCEEEDDDCCCDDDDDDDDDBBB@@@@@@@@@???>>>============888888666555555444444444333333222222111000000000000000///...---,,,,,,,,,(((+++...///---,,,---...---------,,,,,,+++++++++++++++,,,,,,,,,---------***+++,,,,,,******+++,,,(((((()))+++---///000000******+++++++++,,,,,,,,,******+++++++++,,,,,,,,,***+++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,...000222222222555;;;GGGfffvvvggggggppp~~~vvvlllZZZSSSIII@@@:::777444333666555444333222111111111111000//////000111222333333111000333666777333///000000000/////////......444555444333222222333444888888999999;;;>>>BBBEEEHHHSSSaaaiiimmmttt}}}xxxrrrrrrzzzwwwppppppuuu{{{yyyeeeSSSSSScccvvv}}}rrr]]]WWWOOOEEE888...---222++++++++++++++++++++++++*********************************)))))))))))))))************************))))))))))))))))))))))))((('''&&&%%%%%%&&&'''((()))(((((((((((())))))*********))))))(((((((((((('''(((((()))))))))))))))(((((((((''''''(((((((((((((((''''''''''''((((((''''''((()))))))))))))))'''((()))((('''&&&'''((((((''''''&&&&&&&&&''''''((()))++++++***(((((((((''''''((((((((((((''''''(((''''''''''''((())))))((((((((()))))))))))))))))))))************))))))''''''''''''((())))))(((''''''''''''((((((((((((((((((''''''''''''(((((())))))************))))))((((((''''''''''''((((((&&&'''))))))(((((()))+++(((((((((((((((((((((((()))))))))(((''''''&&&&&&'''''''''(((((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))************((()))******))))))***+++++++++++++++++++++++++++******+++++++++,,,,,,,,,++++++,,,,,,,,,---------.........------......//////...000111///...888DDD^^^uuuqqqbbbXXXggg___^^^nnnxxxfffYYYlll|||jjj```pppsssttt}}}www~~~{{{hhhTTTFFFAAA>>>===;;;::::::;;;;;;::::::999999999999999:::::::::<<<>>>@@@AAA@@@???>>>>>>>>>>>>>>>>>>?????????AAABBBCCCCCCBBBAAA@@@???CCCCCCCCCCCCCCCBBBAAA@@@@@@@@@?????????@@@AAAAAABBBBBBCCCCCCCCCBBBAAA@@@??????????????????===<<<===<<<<<<;;;;;;<<<<<<===888777666555555444555555333333222222111000000000000000///...---,,,,,,,,,***---000///,,,***---000---------,,,,,,+++++++++******+++,,,,,,---------***+++,,,,,,******+++,,,((()))************+++,,,******+++++++++,,,,,,,,,******+++++++++,,,,,,,,,***+++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,///---,,,---000333333333...333666FFFeeexxxrrrnnnuuu|||lll\\\OOOFFF???<<<<<<;;;999777555444333333666666666555555444555555222111000222555666444111333333333444444444444444222555888999:::===AAADDDHHHIIIKKKNNNRRR[[[dddlllnnnzzz~~~nnnkkkhhhjjjooozzzxxxqqqnnnkkkfffbbb___YYYWWWaaavvv}}}rrrlllllllllddd[[[WWWLLL@@@888111,,,,,,000++++++++++++++++++++++++*********************************)))))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))((('''&&&%%%%%%&&&'''(((((((((((((((((()))******)))))))))((((((((((((((('''(((((()))))))))))))))'''(((((((((((((((((('''((((((''''''''''''((((((''''''((()))))))))))))))&&&((()))(((''''''((()))''''''&&&&&&&&&&&&'''(((&&&)))++++++(((&&&&&&'''''''''(((((((((((('''''''''''''''''''''(((((()))''''''(((((())))))))))))))))))************))))))&&&'''''''''''''''((()))''''''''''''((((((((((((((((((''''''''''''(((((())))))************))))))((((((''''''''''''((((((%%%&&&(((''''''&&&((()))''''''''''''''''''''''''))))))(((((('''''''''&&&((((((((((((((('''''''''((((((((((((((('''''''''((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))************'''(((******)))(((***+++++++++++++++++++++++++++******+++++++++,,,,,,,,,+++++++++,,,,,,,,,------......------------......---...000111///...333999BBB___}}}nnneee___XXXUUU\\\jjjssspppkkkRRR]]]hhhvvvdddhhhwww||||||tttzzz~~~tttdddUUULLLDDD@@@===<<<<<<<<<;;;:::;;;:::999999888888888888555777:::===>>>???>>>>>><<<<<<<<<<<<======>>>>>>===>>>???AAAAAA@@@>>>>>>>>>?????????>>>===<<<<<>>>>>===>>>>>>>>>======>>>>>>>>>>>>>>>>>>;;;<<<======<<<;;;;;;;;;;;;;;;::::::;;;;;;<<<===777777666555555555555555333333222222111000000000/////////...---------,,,---///000...+++***,,,///---,,,,,,,,,,,,,,,,,,+++******++++++,,,,,,------***+++,,,,,,******+++,,,+++,,,---,,,***)))***+++******+++++++++,,,,,,,,,******+++++++++,,,,,,,,,***+++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,000...,,,,,,...///000///)))111222666DDDUUUqqquuutttqqqwww}}}sssqqq{{{vvvggg\\\UUUMMMKKKHHHEEECCCAAAAAAAAACCCDDDEEEDDDAAA>>>===<<<::::::::::::999999999999;;;;;;<<<===???@@@AAABBB???EEEKKKQQQVVV]]]eeekkktttvvvxxxxxxzzz~~~zzzqqqgggccc``````eeelllttt|||nnngggccc^^^YYYWWWWWWfffvvv{{{iii[[[UUUTTTUUUTTTRRRDDD777111...,,,,,,...***************************************++++++++++++++++++******))))))((())))))))))))))))))))))))))))))))))))))))))))))))(((''''''''''''''''''((((((''''''(((((()))***+++((((((((((((((((((((((((''''''((()))))))))((((((''''''((((((((((((''''''((((((''''''''''''((((((''''''((()))))))))))))))&&&'''((((((''''''((()))'''''''''&&&''''''((()))&&&))),,,+++(((%%%&&&'''''''''((((((((((((''''''''''''&&&&&&''''''((()))&&&''''''(((((())))))***((())))))******))))))(((%%%'''(((((('''&&&((()))''''''''''''((((((((((((((((((''''''''''''(((((((((((())))))******))))))((((((''''''''''''((((((&&&'''((('''&&&%%%&&&'''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((('''''''''''''''''''''((((((((()))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))************'''(((******))))))***,,,++++++++++++++++++++++++******+++++++++,,,,,,,,,++++++++++++,,,,,,,,,,,,///...------,,,---------+++,,,...///......000222333JJJnnnllliiiggghhhmmmoooooommmRRRTTTWWWaaa{{{vvvqqqsssyyyyyysssuuuxxxyyyvvvnnnddd\\\NNNFFFAAA@@@AAA>>><<<<<<:::999888777666666666666222444666999:::<<<<<<<<<:::::::::;;;;;;<<<<<<===:::;;;<<<>>>>>>>>>==================<<<<<<<<<<<<=========<<<<<<;;;;;;:::999999999999::::::;;;;;;999;;;<<<<<<:::999:::;;;::::::999999:::;;;;;;<<<777777666555555555555666333333222222111000000000..................---------...///...---,,,+++,,,+++,,,,,,,,,,,,,,,,,,---+++++++++++++++,,,,,,,,,***+++,,,,,,******+++,,,+++---...---***)))***,,,******+++++++++,,,,,,,,,******+++++++++,,,,,,,,,***+++,,,,,,------,,,,,,++++++++++++++++++++++++,,,------...------------+++333333111555888FFF^^^}}}sssgggggglllsss|||ssssss}}}qqqyyyxxxpppnnnjjjfffcccbbbaaaaaacccfffhhhgggbbb\\\XXXWWWWWWXXXXXXSSSNNNLLLNNNQQQTTTUUUWWWYYY\\\^^^```aaaccciiipppuuuzzz{{{yyyzzzxxxvvvrrroooqqqssslllcccfffaaaaaagggjjjkkkoootttrrrhhh^^^YYYVVVUUU[[[dddhhh|||tttbbbUUUNNNLLLKKKKKKHHH===333000///------...************************))))))*********+++++++++---,,,,,,+++******))))))))))))))))))))))))))))))))))))))))))))))))))))))'''(((((())))))(((((('''''''''''''''((()))***+++((((((((((((((((((((((((&&&&&&'''(((((((((((('''&&&'''((())))))((('''&&&((((((''''''''''''((((((''''''((()))))))))))))))&&&'''((((((''''''(((***((('''''''''(((((()))***'''+++...,,,(((%%%&&&(((''''''(((((((((((('''''''''&&&&&&&&&&&&'''((((((&&&&&&''''''((())))))***'''(((((())))))(((((('''$$$'''((((((&&&&&&''')))''''''''''''((((((((((((((((((''''''''''''((((((&&&'''((())))))))))))(((((((((''''''''''''((((((((()))***(((&&&%%%&&&'''''''''''''''''''''''''''&&&&&&''''''((())))))))))))(((((((((''''''''''''%%%&&&&&&'''((()))******(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))************''')))************+++---******************************+++++++++,,,,,,,,,***++++++++++++,,,,,,,,,///...------,,,,,,,,,---,,,---------...000000000333:::VVV}}}|||wwwuuurrrpppnnn[[[TTTPPPSSS^^^uuu}}}|||zzz}}}{{{uuupppooonnnmmmmmmkkkjjjiiiXXXNNNGGGGGGFFFAAA>>>>>>:::999888777777777777777333333444555666777888888888888999999:::;;;;;;<<<::::::;;;;;;<<<<<<;;;;;;>>>===<<<<<<<<<===>>>???=========<<<;;;:::999999999999888888999999::::::777999;;;;;;999888999;;;999999888888888999::::::777666666555555555555666333333222222111000000000---------...............***+++---//////---+++)))+++++++++,,,,,,---------++++++++++++++++++++++++***+++,,,,,,******+++,,,)))+++---+++)))((())),,,******+++++++++,,,,,,,,,******+++++++++,,,,,,,,,++++++,,,---------,,,,,,++++++++++++++++++++++++'''+++///000///.........+++000///...333222777GGGSSSlll{{{ppptttrrruuummmhhhjjj||||||zzzxxxuuuwwwvvvnnneeeaaaeeejjjsssuuuwwwzzz~~~vvvpppmmmhhhhhhiiimmmvvv~~~|||uuunnniiigggkkkkkkeeeccceee^^^XXXSSSPPPMMMRRRdddwwwzzzvvvjjj]]]VVVRRRLLLEEE???;;;555000///---***)))+++))))))))))))))))))))))))))))))******++++++++++++------,,,,,,+++***))))))))))))))))))))))))))))))))))))))))))))))))))))))'''((()))******)))((('''''''''''''''((()))++++++'''''''''(((((((((((((((%%%&&&&&&'''''''''''''''&&&'''((())))))((('''&&&((((((''''''''''''(((((('''(((((()))))))))))))))%%%'''((((((''''''(((***((((((((((((((()))******(((,,,///...)))&&&'''***''''''(((((((((((('''''''''&&&&&&&&&&&&'''((((((&&&&&&&&&'''((())))))***''''''((((((((((((''''''$$$&&&((((((&&&%%%''')))''''''''''''((((((((()))((((((''''''''''''((((((&&&&&&'''(((((()))((((((((((((''''''''''''((((((***++++++***'''&&&&&&'''''''''''''''''''''''''''%%%%%%&&&'''((()))******))))))(((((('''''''''&&&$$$%%%&&&'''(((***++++++(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))************''')))***+++******,,,---******************************+++++++++,,,,,,,,,******+++++++++,,,,,,,,,///...------,,,,,,,,,,,,000000///...///222222111555...???jjj}}}vvvsssssssssrrr___TTTKKKJJJKKKUUUsssxxx|||||||||yyyxxx}}}jjjiiifffbbbaaadddiiimmm___TTTLLLKKKJJJDDD@@@@@@<<<<<<;;;:::999999999:::555444444333333333444555777777888999::::::;;;;;;;;;;;;::::::::::::::::::;;;:::999888888:::<<<>>>>>>>>>>>>>>>===;;;:::999;;;;;;:::::::::;;;<<<<<<666999;;;:::888777888:::888888777777777777888888888888666555444444444444222222111111000/////////......---------,,,,,,,,,+++,,,,,,------,,,,,,+++++++++++++++++++++++++++---,,,++++++------,,,+++++++++++++++++++++++++++++++++,,,,,,,,,++++++***************************,,,,,,,,,,,,,,,,,,,,,,,,)))************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---...///000222222333DDDQQQeee||||||vvv~~~sss]]]\\\```nnntttxxxpppjjjgggfff\\\aaajjjvvvoooqqqqqqooojjjgggddd^^^WWWIIIPPPPPPIIIPPPfffyyy~~~zzzoooiii^^^SSSJJJBBB<<<888333222000...,,,++++++***+++***************+++++++++*********))))))((((((************************((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''((((((((((((((()))******+++******)))(((''''''&&&++++++++++++***((('''&&&(((((((((((((((((((((((((((((((((((((((((((((((())))))((('''''''''''''''&&&'''((((((''''''(((***((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''***(((&&&''')))***'''$$$''''''''''''''''''''''''))))))((((((''''''&&&&&&))))))))))))))))))))))))((((((((((((((('''''''''(((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))(((''''''((((((((((((((((((((((((''''''''''''(((((((((((('''&&&%%%%%%''''''&&&%%%((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''((((((((((((''''''''''''(((((((((((((((((())))))))))))((((((((((((((((((((()))******)))************+++++++++,,,++++++++++++++++++++++++***)))((((((***,,,...,,,,,,++++++,,,,,,---...)))***,,,,,,++++++,,,---......------------.........000<<>>555///***((())))))))))))***+++,,,,,,+++******)))))))))******************))))))))))))******((((((((((((******((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''((((((((((((((()))************))))))(((((('''''''''((())))))*********)))(((((((((((((((((((((((((((((((((((((((((((((((()))((((((''''''''''''(((&&&'''((((((''''''(((***((((((((((((((((((((((((''''''&&&&&&&&&&&&'''''')))((('''((())))))'''%%%'''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((&&&&&&''''''(((((())))))))))))))))))))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&(((((()))))))))(((''''''((((((((((((((((((((((((''''''''''''(((((((((((('''&&&%%%&&&'''''''''%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&''''''''''''(((((((((''''''''''''(((((((((((('''''''''(((((('''''''''(((((((((((()))))))))))))))))))))*********++++++************************...---+++******+++,,,,,,+++++++++++++++,,,------)))+++,,,,,,+++***+++---,,,,,,++++++++++++,,,,,,...,,,---222<<>>===<<<:::999777666666555444333222222333333333444444555555666555555666666777888888999777777777777777777777777555555666777777888999999777777777666666555555444444444444444444444444444444444444444444444444444555555666666666555444333222222111111000/////////......---------,,,,,,,,,+++,,,,,,------,,,,,,+++++++++++++++++++++++++++***)))((()))***+++***(((************************)))******++++++++++++***************************++++++++++++++++++++++++))))))*********+++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,---///111333;;;LLLaaaqqqxxx|||uuuiii[[[SSSOOOLLLLLLNNNVVV^^^hhhvvv}}}zzzooojjjkkkppptttwww|||{{{zzzxxxxxx{{{~~~{{{{{{}}}zzzwwwwwwyyyzzzyyyvvvtttooommmqqqtttqqqnnnlllmmmkkkgggbbb___]]]^^^___]]]^^^^^^\\\XXXTTTRRRQQQUUUYYY___cccfffggghhhjjjfffiiimmmooopppoookkkgggQQQHHHFFFQQQZZZ___iiivvvsssuuu}}}tttwwwggg]]]QQQLLLLLLOOORRRTTTHHHBBB:::222...,,,+++***'''''''''((()))***+++,,,+++******))))))))))))************)))))))))))))))***)))(((''''''((()))***((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''((((((((((((((())))))******)))))))))((((((((('''(((((()))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((()))(((''''''''''''((((((&&&'''((((((''''''(((***((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''(((((((((((((((((('''&&&''''''''''''''''''''''''&&&&&&''''''(((((())))))((((((((((((((((((((((((%%%&&&&&&'''((()))******))))))))))))))))))))))))(((((((((((((((((((((((('''(((((((((((((((''''''((((((((((((((((((((((((''''''''''''(((((((((((((((&&&%%%&&&'''((('''&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((''''''''''''((((((((((((&&&&&&''''''''''''&&&&&&'''(((((()))))))))))))))))))))))))))************)))))))))))))))*********......,,,++++++++++++,,,+++++++++***+++,,,,,,---***+++,,,,,,******+++,,,,,,,,,++++++++++++,,,,,,---,,,---///222<<>><<<;;;777777666555444333222222111222222222333333333444333333444444555666666666666666666777777777777777555555555666666777777777666555555555444444444333333333333333333333333333333333333333333333333333555555555555555444444333222222111111000/////////......---------,,,,,,,,,+++,,,,,,------,,,,,,+++++++++++++++++++++++++++***)))((((((******)))(((************************((()))******++++++++++++************************,,,,,,,,,,,,,,,,,,,,,,,,))))))*********+++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++'''+++000222555<<>>===888777666666444444333222111111111111222222222222111111222333333444444555555666666666777777777888666666666666555555444444444444444333333333333333333333333333333333333333111111111111111111111111555555444444333444444555222222111111000/////////......---------,,,,,,,,,+++,,,,,,------,,,,,,+++++++++++++++++++++++++++***)))((()))***+++***(((************************(((((()))***++++++++++++************************,,,,,,,,,,,,,,,,,,,,,,,,)))************+++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++***---/////////333888===PPPgggwwwhhh```WWWQQQLLLMMMUUUgggvvvrrriiiaaapppmmmhhhbbb^^^]]]```cccjjjqqqwwwwwwpppgggbbb```aaaeeejjjnnnnnnkkkhhhfff______dddjjjmmmnnnttt{{{rrrlllccc]]]ZZZYYYXXXXXX[[[\\\]]][[[XXXVVVTTTTTTXXX[[[^^^___^^^\\\[[[[[[ZZZSSSNNNNNNNNNMMMLLLMMMYYY___jjjxxx~~~~~~llliiiqqqmmmbbbTTTJJJDDD===777555222...,,,,,,,,,,,,,,,++++++***)))))))))******+++******)))(((((((((((())))))))))))************))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''((((((((((((((()))******))))))))))))((((((((((((*********)))((('''%%%%%%(((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''(((((()))&&&'''((((((''''''(((***((((((((((((((((((((((((''''''&&&&&&&&&&&&'''''''''(((***)))'''&&&&&&''''''''''''''''''''''''''''''''''''(((((((((((((((''''''''''''''''''''''''&&&&&&''''''(((((())))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((''''''((((((((((((((((((((((((''''''''''''((((((((((((((('''&&&'''(((((('''&&&&&&&&&''''''((()))))))))''''''''''''''''''''''''%%%&&&&&&&&&&&&'''''''''''''''''''''(((((((((((('''''''''(((((('''''''''&&&''')))*********)))(((((((((((()))))))))******((())))))******+++++++++,,,,,,,,,,,,,,,+++++++++***************+++,,,,,,+++,,,---,,,*********+++------,,,,,,,,,,,,------111,,,)))+++...111555:::LLLXXXiiizzzvvvcccTTTIIIXXXaaajjj}}}aaaQQQEEEKKK```xxxkkk```eeennnrrrrrr\\\TTTMMMKKKKKKQQQ]]]iiivvvrrriii___XXXQQQOOOMMMHHHGGGHHHDDDBBB???>>>?????????>>>999888888777666555444444111111111111111111111111000000111222222333333444444444444555555666666777666666555555444333333222222222222222222222222222333333333333333333333333000000000000000000000000666555333222222333555777222222111111000/////////......---------,,,,,,,,,+++,,,,,,------,,,,,,++++++++++++++++++++++++++++++***))))))++++++***)))************************'''((()))***++++++++++++************************++++++++++++++++++++++++)))************+++++++++************************************************++++++,,,,,,,,,,,,,,,,,,000///...------...///111888FFFWWWfffvvvxxxrrrhhh___ZZZVVVUUU]]]hhhuuuxxxnnnuuuvvvuuurrrnnnjjjhhhhhhfffrrr~~~rrrhhhddd___cccjjjrrrxxxwwwpppjjjdddbbbeeelllrrrvvv{{{yyyrrrggg___[[[ZZZXXXWWWZZZ\\\]]][[[XXXTTTQQQQQQRRRTTTUUUUUURRROOONNNMMMDDDBBBCCCGGGKKKOOOXXXcccyyytttyyyqqqddd```mmmjjj___OOOCCC===666...000...,,,+++,,,,,,,,,+++******))))))))))))******++++++)))(((((('''''''''((()))))))))************((()))+++,,,,,,+++)))(((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''((((((((((((((()))******(((((((((((())))))))))))((()))))))))((('''&&&&&&(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''((())))))&&&'''((((((''''''(((***((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&(((***)))'''&&&&&&(((''''''''''''''''''''''''(((((((((((((((''''''''''''''''''''''''''''''''''''''''''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''((((((((((((((((((((((((''''''''''''(((((((((((()))'''&&&'''((()))(((&&&%%%%%%&&&''''''((())))))''''''''''''''''''''''''%%%%%%&&&&&&&&&'''''''''''''''''''''(((((((((((('''(((((())))))(((((('''&&&''')))*********(((((((((((((((((()))))))))***))))))******+++,,,,,,---******++++++++++++++++++***************++++++,,,+++,,,---,,,***)))***+++,,,,,,++++++++++++,,,,,,...***(((***,,,---000555;;;CCCSSSfffppplll\\\NNNCCCMMMSSS[[[xxxaaaBBB===III]]]zzztttoookkkiiiqqq|||hhh^^^RRRJJJEEEDDDKKKSSSaaappp~~~sssnnnaaaWWWOOONNNNNNLLLIIIIIIDDDBBB???>>>>>>???>>>===::::::999888777666555555111111111111111111111111000000111111222222333333111111111222333444444444333222222222222222222222111111111111111111111111222222222222222222222222////////////////////////777555222000000333666888222222111111000/////////......---------,,,,,,,,,+++,,,,,,------,,,,,,++++++++++++++++++++++++++++++***)))***+++,,,+++)))))))))))))))))))))))))))'''''')))******+++++++++************************************************)))************+++++++++************************************************++++++,,,,,,,,,---------+++++++++...000111///---///333999CCCVVVjjjxxx{{{pppkkkmmm{{{wwwqqquuu~~~{{{ooo]]]QQQPPPMMMVVV]]]]]]___lll}}}|||wwwttthhhxxxtttmmmbbbdddkkkxxx{{{pppmmmgggfffnnnwww|||vvvnnnccc[[[WWWVVVUUUTTTZZZ\\\]]][[[VVVQQQNNNMMMHHHJJJJJJIIIFFFCCCBBBBBBBBBDDDJJJRRRWWW___qqq{{{mmmppprrrpppggg^^^XXXVVVZZZXXXMMM===444222///)))******)))***,,,---,,,+++((((((((((((((()))***+++++++++)))(((''''''''''''(((((())))))*********+++((())),,,------,,,)))((((((((((((((((((((((((((()))(((((((((''''''''''''''''''''''''''''''''''''((((((((((((((()))******(((((((((((())))))))))))&&&''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''((()))***&&&'''((((((''''''(((***(((((((((((((((((((((((('''''''''&&&&&&'''''''''&&&)))+++***'''%%%&&&(((''''''''''''''''''''''''))))))(((((('''''''''&&&''''''''''''''''''''''''((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((%%%%%%&&&'''((((((((('''((((((((((((((((((((((((''''''''''''((((((((())))))'''&&&'''((()))((('''$$$$$$%%%%%%&&&'''((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''''''''''''''((((((((()))(((((())))))))))))((((((&&&''')))***+++***((('''(((((((((((())))))))))))))))))***+++,,,,,,------((()))***+++++++++++++++*********)))***++++++,,,+++,,,---,,,***)))***+++++++++************++++++))))))+++...---)))***...///666FFF[[[kkklll___RRRGGGMMMLLLLLLccchhhHHHCCCGGGJJJ[[[qqqvvvoooooorrrlllccclll}}}hhh]]]QQQIIIBBB@@@CCCJJJMMM\\\hhhvvvuuuggg[[[QQQOOOQQQNNNKKKIIIFFFCCC@@@??????>>>>>><<<;;;;;;:::999888777666666222222222111111111111111000000000111222222333333...//////000111222222222//////000000111111222222000000000000000111111111111111111111111111111111////////////////////////999888777666444444333333333333333222222222111111///......------,,,++++++,,,------......------,,,***++++++++++++***))))))+++++++++*********))))))************************((()))***+++,,,+++******************************)))))))))))))))******+++************************)))))))))))))))))))))))),,,,,,,,,++++++*********++++++++++++,,,---...///===000(((---000,,,,,,222+++...333777>>>IIIXXXcccrrryyy{{{pppaaa^^^kkkyyyqqqeeeggglllzzzwwwgggUUUIIIJJJGGGHHHKKKKKKLLLUUU```kkkiiieeehhh|||wwwvvvyyywwwlll{{{uuuooojjjlllyyyzzzoooiiicccdddooo|||zzzhhhbbbZZZVVVUUUUUUUUUTTT[[[\\\[[[VVVMMMEEEDDDGGG@@@@@@>>><<<;;;<<<@@@CCCKKKOOOZZZiiirrrwww{{{zzz}}}nnncccggghhhaaaVVVOOOPPPSSSPPPJJJ???555...++++++,,,---,,,+++,,,------,,,***))))))))))))))))))))))))...,,,***(((&&&&&&&&&&&&&&&''''''(((((((((((((((***))))))((('''&&&&&&&&&))))))(((((('''''''''&&&******)))((('''&&&%%%%%%((((((((((((((((((((((((&&&&&&''')))************))))))((((((((('''''''''(((''''''''''''&&&&&&&&&(((((())))))))))))((((((''''''''''''((((((((((((((((((((((((((((((((((((******))))))((((((''''''((((((((((((''''''''''''&&&&&&''''''(((((())))))&&&&&&&&&''''''''''''(((''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((('''&&&%%%%%%&&&%%%%%%%%%%%%&&&''''''""""""######%%%%%%&&&'''(((((((((''''''&&&&&&%%%&&&''''''''''''''''''&&&&&&'''''''''(((((())))))(((((((((((((((((((((((((((((())))))))))))((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''(((((((((((()))))))))))))))))))))))),,,,,,+++***)))(((''''''))))))))))))))))))))))))))))))))))))************************))))))))))))***)))))))))***+++,,,,,,***(((((((((***+++***)))......,,,+++***))))))))))))************+++++++++******+++++++++,,,,,,,,,000222<<>>EEEKKKZZZpppxxxrrrkkkcccWWWLLLFFFFFFGGGHHHIIIHHHDDD>>>999888<<<@@@???>>>===<<<:::999777777666444222000///000111222444333222000000000111111111111111111111111111111000000000000000000000000000000000000000000000000////////////000000000000000000000000000000000000888777666444333333222222222222222222111111111111///......------,,,++++++,,,,,,------------,,,,,,***++++++++++++***))))))+++++++++*********))))))************************((()))***+++,,,++++++***************************)))))))))))))))***++++++************************)))))))))))))))))))))))),,,,,,,,,++++++*********++++++++++++,,,---......EEE888///000///(((&&&***---///111222333999DDDLLLRRR\\\eeehhhdddbbbfffkkkssseeegggiiimmmwww}}}pppaaaXXXLLLGGGDDDFFFFFFEEEIIIOOOOOOQQQPPPRRRaaarrrssskkkbbbbbbfffoooxxxzzztttmmmbbbooo~~~vvvqqqrrr}}}}}}qqqhhh______lllvvvtttjjj[[[WWWRRROOOOOOOOOMMMLLLKKKKKKKKKIIIDDD???>>>>>><<<>>>@@@@@@@@@AAAEEEIIIXXX```ooo{{{~~~zzzzzz|||ppptttuuulllhhhddd]]]UUUNNNIIIGGGFFFDDD@@@888000+++******++++++******+++,,,,,,+++)))((((((((((((((((((((((((+++***)))(((''''''((((((&&&''''''(((((((((((((((***))))))(((''''''&&&&&&)))((((((((('''''''''''')))))))))(((''''''&&&&&&((((((((((((((((((((((((&&&'''((())))))***)))))))))))))))((((((((((((((())))))((((((((('''''''''''''''((((((((((((''''''''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))((((((''''''))))))((((((''''''&&&&&&'''''''''(((((((((((((((&&&&&&&&&''''''''''''(((''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((('''&&&&&&%%%&&&&&&%%%%%%&&&&&&'''(((%%%%%%%%%&&&&&&&&&&&&&&&((('''''''''&&&&&&%%%%%%''''''((((((((((((''''''''''''''''''((((((((()))''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''((((((((((((((((((((((((((((((((((((+++******)))((((((''''''(((((((((((((((((((((((((((((()))))))))*********))))))))))))))))))************))))))******+++,,,+++))))))***+++,,,+++***------,,,+++************))))))*********+++++++++*********+++++++++,,,,,,+++,,,333BBBSSS\\\ZZZUUUNNNHHHBBBDDDNNN___ppp|||qqq\\\QQQGGG???AAAJJJVVVSSS]]]pppwwwrrrttt}}}ooo___QQQOOOOOOIIIBBB>>>AAAEEERRRdddpppqqqnnnllljjjeee]]]UUUOOOJJJHHHFFFFFFFFFFFFCCC???<<<;;;;;;;;;;;;:::999999999999999777666444222111000000111111000/////////000111222111111111111111111111111000000000000000000000000000000000000000000000000.../////////000000000000////////////////////////777666555444333222222222111111111111000000000000///......------,,,++++++,,,,,,------------,,,,,,***++++++++++++***))))))+++************)))))))))************************))))))***++++++++++++******************************))))))))))))***++++++************************))))))))))))))))))))))))+++++++++++++++*********++++++***++++++,,,---...;;;111***---...+++***......//////---+++,,,111555888@@@LLLXXX```ccceeeeee{{{wwwiiibbbgggnnnvvv~~~{{{vvvpppjjjfffWWWPPPJJJIIIJJJJJJJJJMMMNNNOOOKKKDDDFFFMMMNNNIIIGGGFFFIIIQQQYYY\\\YYYTTTLLLUUUbbblllrrrrrrqqqppphhhddddddjjjnnnmmmkkkkkkeee\\\QQQQQQ\\\ccc\\\OOODDDBBBAAA@@@AAA@@@>>>======>>>>>>>>>>>>>>>>>>>>>BBBFFFIIIIIIHHHJJJPPPVVVbbblll|||wwwqqqqqqyyygggiiinnnnnnooodddVVVLLLHHHDDD???;;;666333///+++)))))))))******))))))***++++++***(((''''''''''''''''''''''''))))))(((((((((((()))***&&&''''''((((((((((((((()))))))))(((''''''&&&&&&((((((((((((''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))((((((((((((((()))))))))))))))***)))))))))((((((((((((&&&&&&''''''''''''&&&&&&''''''''''''(((((((((((((((((((((((((((((((((((()))))))))(((((((((((('''***))))))((('''&&&&&&&&&((((((((((((((('''''''''&&&&&&&&&''''''''''''((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((''''''&&&%%%&&&&&&&&&%%%&&&&&&'''(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%''''''((((((((((((''''''''''''''''''((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&''''''''''''(((((((((''''''''''''''''''''''''))))))(((((('''''''''&&&(((((((((((((((((((((((((((((())))))))))))******((((((((()))******++++++******)))))))))***+++++++++*********,,,---,,,+++,,,++++++*********++++++)))))))))*********++++++*********++++++++++++,,,)))(((+++333???JJJPPPRRROOOHHH@@@<<>>===???FFFRRRYYY[[[^^^aaacccbbb```\\\WWWPPPIIIFFFBBBCCCEEEFFFFFFCCC>>>:::999888777777777888999:::999888777555444222111000............///000111222000000000000000000000000000000000000000000000000////////////////////////....../////////000000000........................777666555444333333333333000000000000///////////////......------,,,++++++,,,,,,,,,------,,,,,,,,,***++++++++++++***))))))************))))))))))))************************))))))******++++++++++++******************************))))))******+++,,,************************))))))))))))))))))))))))+++++++++***************++++++******+++,,,,,,------&&&$$$(((,,,,,,...222,,,---...,,,******,,,......111777@@@KKKUUU^^^bbbuuuttthhhdddddddddssszzzmmmpppmmmjjjggggggjjjooorrreee```ZZZVVVTTTWWW\\\aaagggcccXXXIIIBBBAAA@@@;;;<<<;;;;;;>>>AAACCCAAA???;;;???DDDIIIMMMPPPQQQRRRMMMIIIHHHJJJKKKIIIKKKNNNLLLGGGAAA@@@HHHLLLDDD999888777666777777888888777:::>>>AAA???@@@EEEKKKNNNWWWWWWVVVQQQOOOUUUaaakkkiiimmmuuu{{{wwwllldddaaammmxxxyyyhhh\\\^^^eeefffhhh]]]OOOEEEAAA===777111,,,,,,***)))))))))))))))***))))))***+++,,,***)))(((((((((((((((((((((((())))))(((((((((((())))))&&&''''''((((((((((((((())))))((((((''''''''''''((((((((((((((('''''''''''''''''''''(((((())))))((((((((((((((((((((((((((())))))))))))(((((('''''''''(((((((((((()))))))))))))))(((((((((''''''&&&''''''((((((''''''&&&''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((******)))((('''&&&&&&%%%))))))((((((''''''&&&&&&&&&&&&&&&''''''''''''(((''''''''''''''''''''''''''''''''''''''''''''''''&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&'''((((((((((((((('''''''''''''''%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&'''''''''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&(((((((((((((((((((((((((((((((((((()))))))))***''''''((()))***+++,,,,,,******))))))))))))******+++***)))***,,,---,,,+++***************+++,,,,,,))))))))))))************************++++++++++++---+++***+++///888AAAGGGKKKPPPPPPGGG>>>@@@IIIQQQYYY]]]dddfff[[[III<<<:::;;;888===KKKTTTWWW^^^iiimmm```RRRKKKIIIHHHDDD@@@>>><<<>>>BBBEEEFFFLLLSSSVVVYYY\\\\\\YYYSSSNNNKKKDDDBBBBBBDDDGGGGGGCCC@@@<<<;;;999777666666777888999999999888777666555444000000000000000000111111////////////////////////000000000000000000000000////////////////////////........./////////000000........................777777666555444444444444000000000/////////......///......------,,,+++++++++,,,,,,,,,,,,,,,,,,+++***++++++++++++***))))))))))))))))))))))))))))))))))))))))))))))))))))))***************+++++++++***************************************++++++,,,************************))))))))))))))))))))))))************************++++++*********+++,,,,,,...***((())))))((((((***+++,,,------,,,,,,---...***+++---///333===KKKTTTdddmmmrrrllldddaaaaaaaaa```sssxxxiiieeedddbbb___aaahhhsss|||rrrqqqkkkbbb\\\```lllvvvxxxqqqdddWWWOOOMMMJJJGGGBBBAAA@@@???>>>>>>======>>>>>>>>>???AAADDDFFFGGGBBB>>>;;;;;;;;;:::>>>CCC<<<>>>>>>>>>AAACCC@@@999<<<;;;:::999:::;;;>>>@@@===EEEJJJFFFFFFPPP\\\ccckkkfff^^^VVVUUU```rrrvvvoooiiijjjiiiccc[[[WWWVVV[[[[[[TTTPPPRRRTTTSSSQQQMMMEEE===666111,,,***++++++*********)))))))))***))))))***,,,---,,,***))))))))))))))))))))))))*********)))(((((('''&&&&&&''''''((((((((((((((((((((((((((('''''''''''''''''''''(((((((((((((((&&&&&&''''''((()))))))))((((((((((((((((((((((((((())))))))))))(((((('''''''''''''''''''''''''''((((((((('''''''''&&&&&&((((((((())))))(((((((((''''''''''''(((((((((((((((((((((((((((((((((((('''''''''''''''(((((((((***))))))((('''&&&&&&&&&))))))((((((''''''&&&&&&&&&&&&&&&''''''''''''(((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&'''''''''''''''&&&'''&&&&&&&&&&&&'''(((((($$$%%%%%%&&&''''''((((((%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&%%%%%%%%%((((((((((((((('''''''''''''''''''''''''''''''''((((((((())))))(((((((((''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''(((((((((((()))))))))&&&'''''')))***+++,,,---******))))))((())))))******)))((()))+++++++++)))))))))))))))***+++,,,,,,(((((()))))))))*********))))))*********+++++++++......---******...666<<>>:::555555<<>>;;;;;;:::999>>>EEEIIIMMMRRRUUUUUUUUUUUUVVVNNNIIICCCAAACCCEEEDDDCCCBBB@@@===:::777555444444777888888999999999999888444444444333222111000000////////////////////////111111111111111111111111////////////////////////............////////////........................888777666555555555555555000000000000///////////////......------,,,++++++++++++,,,,,,,,,,,,++++++***++++++++++++***))))))(((((()))))))))))))))***))))))))))))))))))))))))******))))))******+++,,,************************+++************+++,,,,,,************************)))))))))))))))))))))))))))))))))***************++++++************++++++---,,,++++++***))))))***,,,,,,,,,,,,,,,,,,,,,,,,)))---000///---111:::CCCNNNVVV]]]^^^```bbbaaa___]]]mmmxxxfffggggggdddcccgggqqqzzz}}}yyylllccchhhuuu~~~yyyqqqggg^^^WWWQQQMMMIIIIIIHHHFFFCCCBBBCCCDDDGGGFFFFFFHHHLLLOOOPPPOOOIIICCC>>>>>>======AAAFFF???EEEIIIIIIJJJLLLKKKHHHBBBBBBAAA???>>>@@@DDDGGG@@@JJJPPPOOOSSSaaannnsssrrriii]]]TTTVVVdddwwwpppbbb___bbb```[[[XXXTTTRRRNNNKKKKKKJJJGGGCCC???@@@>>>999222,,,******++++++++++++******))))))***))))))***,,,---,,,+++************************************)))(((&&&&&&&&&''''''((((((((((((((((((((((((((((((((('''''''''''''''(((((((((((((((&&&'''''''''(((((())))))(((((((((((((((((((((((((((((())))))))))))(((((()))(((((((((''''''''''''''''''''''''&&&&&&&&&&&&(((((())))))))))))((((((''''''''''''((((((((((((((((((((((((((((((((((((&&&''''''''''''(((((((((((((((((((((''''''''''''((((((((((((((('''''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&''''''((('''''''''''''''&&&&&&''''''((()))"""###$$$%%%&&&'''((((((%%%%%%&&&&&&'''((())))))%%%%%%&&&&&&&&&&&&%%%%%%((((((((((((((('''''''''(((((((((((((((((((((((((((((())))))))))))((((((''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''(((((((((''''''''''''''''''''''''''''''(((((((((((())))))&&&'''((()))***+++,,,,,,******)))((((((((()))))))))((('''(((***+++***))))))))))))))))))***+++,,,((((((((()))))))))******)))))))))************+++***,,,---,,,+++---222666CCC]]]ooobbbIII;;;<<<@@@AAAAAADDDKKKPPPNNNHHHBBB===888555888;;;>>>EEEMMMTTTVVVTTTKKKCCCAAABBBCCCEEE???;;;;;;999666777;;;???CCCIIILLLNNNQQQWWW\\\WWWQQQIIICCC@@@@@@AAAAAADDDBBB@@@===:::666444222555555666777888999::::::777777777666444333111000000000000000000000000000111111111111111111111111////////////////////////------........./////////........................666666555444444444555555111111111000000000/////////......------,,,++++++++++++,,,,,,,,,,,,++++++***++++++++++++***))))))(((((((((((())))))******))))))))))))))))))))))))+++***)))))))))***+++,,,************************++++++******++++++,,,---************************))))))))))))))))))))))))((()))))))))*********+++++++++************++++++&&&(((******+++,,,------,,,++++++++++++,,,,,,+++***...111111......222777:::BBBJJJMMMSSSZZZ______[[[eeepppxxx~~~|||uuudddjjjooonnniiihhhmmmrrrzzz|||wwwkkkdddiiissszzz|||zzzlll]]]SSSPPPQQQRRRRRRNNNIIIGGGHHHJJJLLLMMMPPPUUU\\\___^^^]]]TTTLLLEEEDDDEEEEEEGGGJJJIIIMMMPPPQQQSSSVVVTTTPPPEEEFFFGGGFFFDDDDDDFFFHHHCCCMMMUUUZZZgggyyy~~~oooeeeXXXQQQSSS]]]hhhooopppcccXXXWWW[[[\\\\\\\\\\\\TTTLLLIIIGGGCCC???===777888777444000---,,,---+++******)))))))))((((((((((((((()))+++,,,+++***))))))))))))))))))))))))(((((()))******)))((('''&&&''''''((((((((((((((('''(((((((((((((((((((((''''''''''''((((((((()))'''''''''(((((((((((((((((((((((((((((((((((((((&&&'''((())))))***)))))),,,,,,+++***)))(((''''''(((((((((((('''''''''''''''(((((((((((((((((('''''''''''''''((((((((((((((((((((((((((((((((((((&&&&&&&&&'''''''''((((((''''''''''''(((((((((((('''''''''(((((((((((((((&&&&&&&&&''''''''''''(((''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&&&&'''(((((('''''''''''''''''''''(((((()))$$$$$$%%%%%%&&&&&&&&&'''%%%%%%&&&'''(((******+++&&&''''''((((((''''''&&&)))((((((((('''''''''''''''''''''''''''''''''''''''(((((((((((((((((('''''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''(((((())))))'''''''''''''''''''''''''''''''''((((((((())))))'''(((((()))***++++++,,,******)))(((((((((((((((***)))((()))+++,,,+++******)))))))))))))))***+++(((((((((((()))))))))***))))))))))))************(((***+++++++++,,,...000999MMMZZZSSSHHHCCCBBB???======???CCCIIILLLIIIEEE@@@;;;777777888<<>>>>>:::666555666:::???AAACCCGGGOOOUUUTTTSSSOOOIIIDDD@@@??????>>>??????>>><<<999777555444444333333444555666777666666777777666444333222111111111111111111111111111111111111111111111111000000000000000000000000---------.........//////////////////////////////555555444333333333444444111111111111000000000000///......------,,,+++++++++++++++,,,,,,+++++++++***++++++++++++***))))))'''((((((((())))))******))))))))))))))))))))))))+++***)))))))))***,,,---************************++++++******++++++,,,---************************))))))))))))))))))))))))(((((())))))*********+++++++++***************+++&&&)))***)))((())))))(((+++***)))***,,,.........******+++***)))***---000,,,222666888===JJJWWW^^^YYY```hhhmmmqqqrrrkkkcccbbblllvvvxxxrrrmmmnnnppplllnnnjjj```^^^dddjjjllltttyyyeee[[[YYY\\\^^^]]]XXXQQQMMMMMMOOOPPPRRRXXX```hhhkkkiiifff]]]SSSKKKJJJKKKJJJKKKMMMNNNOOOOOOPPPUUUXXXTTTMMMIIIMMMPPPPPPMMMJJJJJJKKKHHHPPPYYYdddyyylllbbbUUUOOOPPPTTTVVVWWWXXXQQQLLLOOOUUUXXX[[[^^^[[[RRRHHHCCC???999777888111000...,,,*********)))))))))((('''''''''(((((('''&&&&&&(((***+++***)))((((((((((((((((((((((((%%%&&&(((************)))&&&''''''((((((((((((((('''''''''(((((((((((((((&&&'''''''''(((((())))))((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&((()))************///...---,,,+++)))(((((())))))))))))((((((((((((&&&''''''''''''''''''&&&''''''''''''((((((((()))((((((((((((((((((((((((&&&&&&&&&'''''''''((((((&&&&&&''''''((()))))))))&&&'''''''''(((((())))))&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&'''(((((((((''''''''''''''''''((())))))'''&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((()))***+++,,,(((((())))))))))))(((((())))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%&&&&&&'''((()))******''''''''''''''''''''''''''''''''''''((((((((()))(((((())))))******++++++******)))(((((((((((((((+++***)))***,,,---,,,+++******))))))))))))******(((((((((((())))))))))))))))))))))))************)))***+++************+++///:::AAA@@@DDDKKKJJJBBB999<<>>777333000444888999999===DDDJJJKKKOOOQQQOOOIIICCC@@@@@@888:::<<<>>>>>><<<:::888444333111000000111333444444555666666666555444333111111111111111111111111111111111111111111111111111111111111111111111111---------.........//////000000000000000000000000333333333333333333333333222111111111111111222222......---,,,,,,+++******++++++++++++++++++++++++***++++++,,,,,,++++++***((((((((()))******++++++))))))))))))))))))))))))******)))))))))))))))***(((((('''(((((()))******)))+++---,,,+++***+++,,,))))))))))))************((()))++++++)))((()))***,,,,,,,,,,,,,,,,,,,,,,,,))))))))))))))))))))))))******+++++++++,,,,,,,,,)))************+++++++++***************)))(((''',,,000444333222888DDDNNN]]]dddllllllfff^^^YYYWWWUUU]]]fffkkkjjjjjjmmmppppppdddWWWUUU\\\eeegggeeejjjwwwuuu```QQQJJJPPPWWWXXXRRRTTT]]]___YYYZZZYYY```nnnvvvpppbbbWWWLLLKKKHHHGGGMMMXXX]]]\\\[[[SSSMMMNNNOOOMMMIIIIIILLLUUU[[[VVVLLLHHHJJJNNNGGGQQQZZZddduuuyyyhhh[[[UUURRRYYYbbbaaaSSSEEENNNIIIEEEEEEJJJMMMMMMKKKFFFCCC>>>:::666333///---******))))))))))))************)))(((((((((((((((***)))((()))++++++)))(((((((((((((((((('''''''''''''''((((((((((((''''''))))))************))))))***)))(((((()))***+++***(((((((((((((((((((((((('''&&&&&&&&&&&&'''((((((((()))***)))'''&&&&&&'''))))))))))))************//////...,,,***)))((('''))))))))))))))))))))))))(((((((((((((((((((((((('''&&&%%%&&&(((((((((&&&((('''&&&%%%%%%&&&'''(((''''''''''''(((((((((((())))))((((((''''''&&&&&&))))))))))))))))))))))))***)))((('''&&&&&&'''(((''''''((((((''''''&&&%%%'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%###$$$''')))'''%%%%%%%%%&&&&&&((()))+++,,,)))))))))'''&&&&&&''')))&&&&&&''''''''''''&&&&&&)))((('''&&&&&&'''((()))(((((('''&&&%%%%%%$$$$$$&&&&&&&&&''''''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''((((((((('''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&''''''''''''((((((((())))))((('''&&&&&&''''''((((((((((((''''''''''''''''''((((((((((((******))))))))))))******************************))))))))))))))))))))))))+++***)))(((((()))******************************---000///000>>>RRRWWWQQQDDD@@@;;;:::===BBBDDDEEE???AAA@@@<<<777444555777FFFQQQWWWRRRKKKHHHFFFDDDBBB???;;;:::::::::777444555555444222222555999===@@@@@@AAADDDGGGFFFAAA===<<<<<<:::999999888888999888888777555444222111111222222111000000111111222111111111000000000000000333000...///111222111///000000000000000000000000/////////////////////////////////---,,,///444999333333333333333333333333222111111111111111222222......------,,,++++++***++++++++++++++++++++++++***++++++,,,,,,++++++************)))))))))))))))))))))))))))))))))))))))******))))))))))))******)))((((((((())))))***+++)))+++,,,,,,+++******+++))))))))))))************(((***++++++***))))))***++++++++++++++++++++++++))))))))))))))))))))))))*********+++++++++,,,,,,)))************+++++++++++++++,,,,,,,,,+++******)))***+++,,,///333888:::JJJQQQXXXYYYUUUOOOLLLLLLJJJPPPYYY___aaaccceeehhhfff]]]TTTVVV```jjjmmmllljjjoooqqqlll___RRRKKKHHHEEENNNRRRPPPUUUaaafffcccWWWXXXbbbpppvvvnnn```WWWMMMKKKFFFEEEMMMXXX]]]\\\[[[SSSNNNMMMLLLIIIHHHJJJIIIOOOTTTQQQKKKIIIKKKNNNKKKYYYdddeeeeeefff___TTTLLLJJJLLLXXXeeefffZZZMMMIIIDDD???===???AAA???===;;;888555222000///,,,*********))))))))))))*********))))))(((((((((((((((***)))((()))++++++)))((('''''''''(((((((((((((((''''''((((((((((((''''''(((((())))))))))))((((((&&&&&&&&&))),,,,,,)))%%%(((((((((((((((((((((((('''&&&&&&&&&&&&'''(((((('''(((((((((&&&%%%&&&'''))))))))))))************)))))))))******+++++++++))))))))))))))))))))))))))))))))))))))))))))))))'''&&&&&&&&&((()))((('''((('''&&&&&&&&&&&&'''(((''''''''''''((((((((((((((((((((((((((('''''''''((((((((((((((((((((((((***)))((('''&&&''''''(((''''''((((((''''''&&&%%%'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%$$$%%%'''((('''%%%%%%%%%%%%&&&'''((()))***((((((((('''&&&&&&'''(((''''''((((((((((((''''''(((((('''&&&&&&'''(((((((((((('''&&&&&&%%%$$$$$$&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&&&&''''''''''''((((((((('''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&''''''''''''(((((((((((((((((('''&&&&&&''''''((((((((((((''''''(((((((((((())))))))))))******))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))+++***)))(((((()))******************************---///---,,,666HHHPPPNNNEEE@@@;;;999:::===??????AAABBBDDDCCC@@@<<<999888AAAKKKPPPLLLFFFDDDDDDBBBDDDAAA===;;;:::999777555555555444333111222555888;;;;;;<<>>===>>>AAAEEELLLTTTZZZ^^^aaabbbYYYRRRNNNSSS^^^jjjooopppiiihhhddd^^^VVVOOOKKKJJJJJJRRRTTTQQQSSS[[[___]]]VVV[[[gggtttvvvlll___WWWMMMIIICCCCCCLLLXXX\\\ZZZVVVQQQMMMJJJGGGEEEIIIOOOOOOOOOOOOMMMJJJIIIIIIKKKRRRgggtttmmm\\\RRRMMMIII@@@@@@GGGVVVdddfff\\\PPPJJJEEE>>>;;;:::999666333000...,,,+++,,,,,,+++)))***))))))(((((())))))***))))))((((((''''''(((((()))(((((()))******)))'''&&&&&&''''''(((((())))))'''(((((())))))(((((('''''''''((((((((((((''''''(((''')))...333222,,,&&&(((((((((((((((((((((((('''&&&&&&&&&&&&'''((((((&&&'''((('''%%%$$$%%%&&&))))))))))))************&&&&&&'''((()))***+++,,,))))))))))))))))))))))))************************((('''&&&''')))***)))(((((('''&&&&&&&&&&&&'''(((''''''''''''(((((((((((('''''''''((((((((((((((((((((((((((((((((((((((())))))(((''''''''''''(((''''''((((((''''''&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%%%%'''((('''&&&&&&&&&&&&%%%&&&''''''(((&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''((((((''''''&&&%%%%%%%%%&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''''''''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&''''''''''''((((((((((((((((((''''''&&&''''''((((((((((((''''''(((((()))))))))************))))))(((((())))))***(((((((((((((((((((((((())))))))))))))))))))))))***))))))(((((())))))***************************+++...,,,(((---<<>>AAAEEEFFFDDD???;;;:::AAAFFFBBB>>>>>>@@@@@@GGGCCC???<<<:::999777555555666555333111000111222555444555888;;;======<<<<<<<<<===<<<;;;:::888777555555666666777888888888666555444222000...---,,,------...///000111222222222000///000111222111000000000000000000000000000---------------------------...///...------///111444444444444444444444444333222111111000111111111......------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,,,,++++++***************))))))(((((())))))))))))))))))))))))))))))))))))))))))***++++++***************++++++)))***,,,,,,***)))***+++((()))))))))***************+++------+++***+++,,,))))))))))))))))))))))))))))))))))))))))))))))))************++++++++++++))))))*********+++++++++'''((()))***************000---+++...333444///***+++...111333333333444666>>>AAAFFFOOOWWW^^^``````QQQLLLHHHKKKTTT___fffiii```___^^^\\\YYYTTTNNNJJJVVVZZZZZZSSSOOOQQQRRRPPPWWW^^^kkkvvvtttgggZZZUUUHHHEEEAAACCCMMMWWWXXXSSSMMMJJJHHHFFFCCCDDDLLLWWW[[[UUUOOOLLLJJJFFFDDDCCCRRRgggwwwoooZZZMMMJJJKKK??????DDDOOOYYYZZZQQQHHHHHHCCC===999777444111///,,,+++)))***+++,,,,,,+++))))))(((((((((((()))))))))(((((('''''''''(((((()))(((((()))******)))'''%%%&&&&&&'''((()))******(((((())))))))))))(((((('''(((((())))))((((((''')))((()))...444444...'''(((((((((((((((((((((((('''&&&&&&&&&&&&'''((((((&&&'''((((((&&&&&&&&&(((((()))))))))*********************))))))(((((('''(((((((((((((((((((((((()))))))))))))))))))))))))))((('''((()))******((('''''''''&&&&&&'''''''''''''''''''''((((((((((((&&&&&&''''''(((((())))))((((((((((((((((((((((((((((((((('''''''''(((((('''''''''(((''''''&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%&&&(((((('''&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''&&&&&&&&&%%%&&&&&&&&&''''''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''(((((((((((((((''''''''''''((((((((((((''''''(((((((((((())))))))))))))))))(((((((((((())))))(((((((((((((((((((((((())))))))))))))))))))))))(((((((((((()))))))))***************************(((,,,,,,((((((111999<<<@@@===:::777555555555666444555888>>>DDDDDDAAA<<<555999<<<:::888999<<<>>>GGGDDD@@@===:::888666555444555666444222000000111222222222444666888999999;;;<<<======<<<:::777555444555555666666777777888666555555333222000///...,,,---------......//////////////////000000//////////////////////////////,,,,,,,,,,,,,,,,,,,,,,,,,,,---......------------444444444444444444444444333222222111000000111111......------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,,,,++++++***(((((())))))************))))))))))))))))))))))))))))))(((((()))***++++++++++++***************+++(((***,,,+++***)))******((()))))))))***************+++------+++***+++,,,))))))))))))))))))))))))))))))))))))))))))))))))))))))*********+++++++++))))))*********+++++++++'''((()))***************+++***)))***+++,,,,,,+++***+++,,,,,,---...///111:::;;;@@@GGGOOOUUUYYYYYYPPPJJJDDDCCCHHHPPPWWW\\\TTTSSSSSSSSSTTTRRRNNNJJJTTTWWWWWWQQQLLLKKKLLLLLLTTT[[[fffnnnjjj]]]QQQMMMAAAAAA@@@CCCKKKSSSQQQJJJCCCAAAAAA@@@???CCCOOO]]]___TTTKKKJJJHHHBBB======HHHXXXfffcccVVVKKKHHHIIIBBB@@@@@@DDDIIIIIICCC<<<<<<999555222///---+++)))---+++)))***+++,,,++++++))))))(((((((((((())))))((((((''''''''''''(((((()))((('''(((******((('''%%%&&&&&&'''((()))******(((((())))))))))))((((((((())))))******))))))((((((%%%$$$'''+++---***&&&(((((((((((((((((((((((('''&&&&&&&&&&&&'''(((((('''((())))))((('''(((***((()))))))))************------,,,+++)))((('''&&&(((((((((((((((((((((((((((((((((((((((((((((((()))((('''((()))******(((&&&''''''''''''''''''&&&''''''''''''((((((((((((&&&&&&''''''(((((())))))''''''''''''''''''''''''''''''(((((((((((((((((('''''''''(((''''''&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''((((((''''''&&&%%%%%%%%%%%%&&&(((&&&%%%&&&((()))'''&&&(((((('''&&&&&&'''((((((%%%&&&&&&&&&&&&&&&&&&%%%((('''''''''''''''&&&&&&&&&&&&&&&''''''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((&&&'''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''''''((((((((((((((('''''''''((((((((((((''''''&&&&&&&&&'''''''''(((((())))))(((((((((((())))))))))))))))))))))))))))))((((((((((((((((((((((((''''''(((((())))))))))))))))))))))))))))))))))))&&&+++---***))),,,000333:::999888666444444555666333222333666;;;>>><<<:::333444555555444555888===CCCBBB@@@===999777555555111333555555444222222333444444333333222333555666888999:::;;;:::888666555444444444444444333333333444444555555555444333222000000000//////.........,,,---//////......------------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------...---+++***444444444444444444444444333333222111000000000000......------------------,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,,,,++++++***'''(((((()))******++++++))))))))))))))))))))))))(((((((((((()))***+++,,,++++++***))))))))))))***(((***++++++***))))))***))))))))))))************)))+++,,,,,,+++******+++)))))))))))))))))))))))))))))))))))))))))))))))))))))))))************+++)))************+++++++++***++++++,,,,,,,,,++++++((()))***)))'''(((+++///+++************+++------111333666:::???DDDGGGJJJLLLHHHBBB>>>???DDDJJJOOOOOOLLLHHHGGGHHHJJJLLLLLLPPPSSSRRRMMMEEEAAABBBEEELLLPPPXXX^^^[[[OOOFFFBBB;;;>>>???AAAFFFKKKIIIDDD>>><<<;;;<<<<<>>:::;;;CCCLLLTTTVVVQQQJJJEEECCC???<<<999999;;;;;;888666222111///---,,,+++******,,,***(((((()))***)))((()))((((((''''''(((((()))''''''&&&&&&''''''(((((((((''''''((())))))(((&&&&&&&&&''''''(((((())))))((())))))******))))))((())))))************)))))))))'''&&&&&&''')))))))))(((((((((((((((((((((((('''&&&&&&&&&&&&'''((((((''')))******)))((()))+++))))))))))))************+++++++++******)))))))))))))))))))))))))))))))))''''''''''''''''''''''''((('''&&&''')))***)))(((&&&&&&'''(((((('''&&&&&&''''''''''''(((((((((((('''''''''(((((((((((((((''''''''''''''''''''''''&&&'''(((((()))(((((((((''''''((((((''''''&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%'''((((((''''''((()))''''''&&&&&&&&&&&&&&&''',,,)))%%%%%%''')))(((&&&,,,+++***))))))***+++,,,&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&'''((((((((((((((((((''''''((((((((((((''''''%%%%%%&&&&&&&&&''''''''')))((((((''''''(((((()))))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&'''((())))))))))))))))))))))))))))))))))))&&&***,,,,,,***)))+++---333444555444333333444666888666444444555666666555333111111333333222555:::<<<===>>>===999666444444000222444444333333444555555555555444111111222333555555666777777666555444444444333222111111000000111222444555666666555444555555444333222111000000+++---///000...---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,......,,,***555555555555555555555555444333222111000000000000------..................------------------------***++++++,,,,,,++++++***)))))))))))))))*********))))))))))))))))))))))))(((((((((((()))***+++,,,+++***))))))((((((((()))((()))++++++)))))))))***))))))))))))************(((***++++++***))))))***************************))))))))))))))))))))))))))))))))))))************)))************+++++++++++++++,,,,,,,,,+++*********+++,,,+++******,,,...+++***))))))+++,,,------***---///000111333777;;;>>>===<<<::::::<<<@@@DDDHHHFFFBBB???>>>@@@DDDFFFKKKLLLLLLGGG>>>777888<<>><<<===AAACCCBBB@@@<<<999999999===GGGQQQQQQFFF@@@DDDCCC<<<888;;;AAACCCHHHLLLKKKFFFAAA===888666333222222333222111,,,------,,,+++++++++,,,***(((''''''((())))))(((((((((''''''''''''(((((('''&&&&&&&&&&&&'''((()))(((''''''((())))))(((&&&'''''''''((((((((((((((())))))************))))))(((((())))))))))))((((((***+++,,,***((('''))),,,(((((((((((((((((((((((('''&&&&&&&&&&&&'''(((((('''((())))))(((((()))+++))))))))))))************(((((())))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((('''&&&&&&&&&((()))((('''&&&&&&'''(((((('''&&&&&&''''''''''''((((((((((((((((((((((((((('''''''''''''''''''''''''''''''''%%%&&&((()))))))))((((((''''''((((((''''''&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%''')))((('''&&&(((***'''''''''&&&''''''((((((111,,,&&&$$$'''))))))'''+++***)))(((((()))***+++&&&'''(((((((((((('''&&&''''''''''''((((((((((((&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&'''(((((((((((((((''''''((((((((((((''''''&&&&&&&&&&&&'''''''''(((((((((''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((%%%&&&'''))))))))))))((()))))))))))))))))))))))))))((()))))))))((()))+++---000222222111000222444666666555444222111222444333//////222222///111555444888;;;<<<999555333333000111222222111111222444333555666444222000111222111111222333333444444555333333222111111000/////////000222444555555444333444444444333222222222111,,,///222222000......///------------------------------------------------...,,,++++++...///---,,,555555555555555555555555444333222111000000000000------..................------------------------+++++++++,,,,,,+++++++++++++++******)))((((((((())))))))))))))))))))))))(((((((((((()))***+++,,,******)))(((((('''((((((((()))++++++)))((()))***))))))))))))************((()))++++++)))((()))***************************))))))))))))))))))))))))))))))))))))************)))************+++++++++***************)))((('''))))))***++++++***)))(((+++***)))***,,,.........(((,,,///---***+++000555///222555777777888:::===<<<======;;;888777777999???AAACCCAAA:::555888>>>@@@>>>AAAGGGHHHCCC>>>===999<<<<<<888666;;;@@@BBBDDD>>>999888888999@@@HHHPPPFFFAAAFFFDDD;;;888<<<;;;;;;>>>BBBCCC@@@:::888444333111000000///...---'''((())))))(((((()))******((('''''')))+++******((((((''''''''''''((((((&&&&&&&&&&&&&&&'''((()))(((''''''((())))))(((&&&((((((((((((((('''''''''))))))************))))))''''''((((((((((((''''''&&&))),,,***%%%###%%%((((((((((((((((((((((((((('''&&&&&&&&&&&&'''((((((%%%'''((((((''''''(((***))))))))))))************)))(((((((((''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))'''&&&%%%&&&((((((((('''%%%&&&'''(((((('''&&&%%%''''''''''''((((((((()))))))))(((((('''''''''&&&''''''''''''''''''''''''%%%&&&((()))))))))((((((''''''((((((''''''&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%'''))))))'''&&&(((***'''''''''''''''((())))))444---&&&$$$'''))))))''')))'''&&&%%%%%%&&&''')))&&&'''((())))))((('''&&&'''''''''(((((((((((((((&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&'''((())))))((((((''''''((((((((((((''''''''''''''''''((((((((()))((((((''''''''''''((((((''''''''''''''''''''''''(((((((((((((((((((((((($$$%%%'''))))))))))))((())))))))))))))))))))))))+++(((&&&&&&''''''))),,,+++...000000///...///111...111444333111111333555333......222111---...333///444:::<<<999555333222000111111000//////000222111444666555222000111222/////////000111222444555222222222111111111111111...///111333333333111000000000000000000111111111---000444444111//////000////////////////////////------------------------///,,,***+++...//////---333333444444333333222111111111111111000000000000111///---------,,,***(((------.........------,,,+++++++++++++++++++++++++++*********))))))((((((+++*********))))))((((((************************))))))))))))))))))))))))))))))))))))******************))))))((((((''''''))))))))))))************,,,+++)))((((((((()))***''')))***)))((('''(((***))))))))))))))))))))))))************************)))))))))))))))))))))))))))))))))******++++++,,,***************************************************,,,---------...111333444222111//////111222444666777777888666444222000333666999===>>>===;;;999777777666666777:::<<<>>><<<;;;:::999888888888888>>>>>><<<;;;999777555555222333444333111///000111***************************+++,,,,,,,,,***)))((())))))))))))))))))))))))))))))(((((((((((())))))((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((''''''''''''((((((((((((******))))))((((((''''''(((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((())))))******))))))******+++,,,******))))))))))))************))))))((((((''''''(((((('''''''''(((((())))))((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''((('''&&&%%%%%%&&&'''((('''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''((((((((((((((('''''''''((((((((((((((((((((((((((((((''''''''''''(((((())))))((((((''''''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''((()))))),,,***'''&&&'''''''''&&&))))))))))))))))))))))))''''''(((((('''&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&'''((())))))''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((((('''&&&%%%%%%&&&'''(((''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((((((''''''(((***))))))(((((('''''''''&&&(((((('''''''''&&&&&&&&&((('''%%%%%%%%%&&&(((***,,,+++((('''&&&'''((()))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((()))******))))))))))))))))))))))))******+++,,,...///000000000000000000111111111111111111111111111000///......111333444333111000000//////////////////////////////000111111000///...............///000222222//////000000000000//////000000111111111111000000000000////////////000000000000000000111222333444111111000000//////......------------.........///,,,,,,,,,,,,,,,,,,,,,,,,333333444444333333222111111111111000000000//////------------,,,,,,,,,,,,******************))))))++++++++++++++++++++++++************)))))))))(((************)))))))))(((************************))))))))))))))))))))))))))))))))))))***************)))))))))))))))(((((())))))))))))************++++++)))((((((((()))***''')))***)))((('''(((***))))))))))))))))))))))))************************))))))))))))))))))))))))************++++++++++++************************************************)))***++++++++++++...000...---,,,,,,,,,,,,---......///000111111///...---...///222444555555333222111000000000111222555666888777666555444444444444444444333222111000/////////000000///------...000+++***************************++++++***))))))((())))))))))))))))))))))))))))))(((((((((((())))))((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((''''''''''''((((((((((((***)))))))))((((((((('''(((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((())))))***************++++++,,,******))))))))))))*********)))))))))((((((((('''((((((''''''''''''(((((((((((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''((('''&&&&&&&&&&&&'''((('''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''((((((((((((''''''''''''(((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&'''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''(((((()))***+++)))'''&&&''''''&&&%%%((((((((((((((((((((((((''''''(((((('''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&'''(((((()))'''''''''&&&&&&&&&%%%%%%&&&&&&''''''''''''''''''((('''&&&&&&&&&&&&'''(((''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((((((''''''(((***)))(((((((((''''''''''''(((((('''''''''&&&&&&&&&((('''&&&%%%%%%&&&((()))***)))(((''''''(((((()))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))***))))))))))))))))))))))))******+++,,,---......///.../////////000000000000000000111111111000//////...000222222111000000000////////////////////////...///000000111000//////---------,,,,,,---.........//////000000//////...//////000000000000//////000000////////////000000000000000000111222333444111000000000/////////...------........./////////........................333333444444333333222111111111000000000000//////...000111000---+++---///,,,,,,,,,,,,+++++++++***++++++++++++++++++++++++************))))))))))))************))))))))))))************************))))))))))))))))))))))))))))))))))))************)))))))))***************))))))))))))************+++******)))((()))))))))''')))***)))((('''(((***)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),,,,,,++++++++++++++++++************************************************((()))))))))((((((***,,,************************((()))***,,,,,,,,,+++*********+++,,,------,,,,,,,,,,,,+++***+++,,,---...111111000///............+++++++++++++++*********+++,,,+++***)))***,,,///+++++++++******)))))))))******)))((((((((())))))))))))))))))))))))))))))))))))(((((((((((())))))((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((())))))************+++++++++,,,++++++************++++++))))))))))))((((((((((((((((((''''''''''''(((((((((((('''&&&&&&&&&&&&'''''''''''''''''''''''''''(((''''''&&&&&&''''''((('''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''((((((((((((((((((((((((%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((((('''(((((()))***)))(((''''''((('''%%%$$$'''''''''''''''''''''''''''''''''(((''''''&&&%%%&&&''''''((((((''''''&&&%%%%%%&&&&&&'''((((((((('''''''''&&&&&&&&&&&&%%%''''''''''''''''''&&&&&&((('''&&&&&&&&&&&&'''(((''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((((((''''''(((***(((((((((((('''''''''''''''''''''''''''&&&&&&&&&''''''&&&%%%%%%'''((()))(((((((((((((((((())))))((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''(((((()))***))))))))))))))))))))))))*********+++++++++,,,,,,------------...............///000000000000000000...///000000///...///000////////////////////////---...///000000000000000000///...---,,,+++++++++---..................---......////////////......000//////......//////000000//////000000111222333000000000000////////////............/////////000...//////000000/////////333333444444333333222111111000000000////////////222555777333---***+++......------,,,,,,,,,,,,,,,*********************************)))))))))))))))*********)))))))))))))))************************))))))))))))))))))))))))((()))))))))************))))))******++++++,,,,,,((()))))))))************+++******)))))))))))))))''')))***)))((('''(((***(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))------,,,,,,++++++******************************************************((())))))(((&&&&&&((())))))******++++++******))))))***++++++,,,,,,++++++*********))))))***++++++,,,,,,+++*********+++,,,,,,,,,+++*********************************))))))))))))((('''&&&(((,,,///++++++******))))))((((((***)))(((''''''((()))***))))))))))))))))))))))))))))))(((((((((((())))))((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((())))))******+++++++++,,,,,,+++++++++************++++++))))))))))))(((((((((((()))((((((''''''''''''((((((''''''&&&&&&&&&''''''''''''''''''''''''''''''((((((''''''''''''(((((('''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&'''''''''''''''(((((((((((((((((((((((((((%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&''''''((('''&&&&&&%%%%%%&&&&&&'''((((((((((((((((((((((((''''''&&&&&&''''''((()))''''''&&&'''((((((%%%###''''''''''''''''''''''''&&&'''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''((((((''''''''''''&&&&&&&&&&&&'''''''''''''''&&&&&&&&&'''''''''&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((((((''''''(((***(((((((((((((((''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''((()))&&&&&&'''((()))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''((())))))((((((((((((((((((((((((***************)))))))))+++++++++,,,,,,,,,,,,------......///000000000000...//////...,,,,,,...000........................,,,---...///000000111111555444222000///------,,,,,,------......------,,,---..................---/////////......////////////////////////000111222000000000000////////////........./////////000000,,,---.../////////......333333444444333333222111000000000////////////...111444555222,,,)))+++...******))))))))))))******************************))))))))))))))))))******))))))))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))((()))))))))************))))))******++++++,,,,,,((()))))))))************************)))))))))(((''')))***)))((('''(((***(((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))))))))))),,,,,,,,,++++++*********)))))))))))))))))))))))))))))))))))))))))))))))))))******)))''''''(((***)))***++++++++++++***))),,,,,,,,,,,,,,,+++******+++***)))))))))***++++++,,,,,,++++++*********+++******))))))(((((()))))),,,,,,++++++******))))))(((((((((&&&&&&(((,,,///*********)))))))))((((((***)))(((''''''((()))***))))))))))))))))))))))))))))))(((((((((((())))))((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''((()))))))))***+++,,,,,,,,,,,,++++++******************+++(((((((((((())))))))))))))))))((('''''''''''''''''''''&&&&&&&&&''''''(((''''''''''''''''''''''''(((((((((((((((((((((((('''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&&&&''''''((((((((((((((((((((((((((((((&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''((((((((()))&&&&&&%%%%%%%%%%%%&&&&&&((((((((((((((((((((((((&&&&&&%%%%%%&&&&&&'''((('''&&&'''((()))(((&&&$$$''''''''''''''''''''''''&&&&&&'''''''''''''''&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''(((((('''''''''&&&&&&&&&'''''''''''''''''''''&&&&&&''''''''''''''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((((((''''''(((***'''''''''(((((((((((((((&&&'''''''''''''''''''''&&&&&&&&&&&&''''''((((((%%%&&&'''((())))))(((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''(((((()))((((((((((((((((((((((((******)))))))))((((((((()))*********++++++++++++,,,---...///////////////---......---,,,,,,---///------------------------,,,------...///000000111777555444111000...------,,,,,,------------,,,,,,------............------//////............///////////////...//////000000////////////000000000000............////////////,,,---///000111000//////333333444444333333222111000000////////////......***,,,...---+++***,,,...++++++******+++,,,...///************************))))))))))))************))))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************)))))))))***************))))))))))))************)))************)))((((((''')))***)))((('''(((***))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))++++++******************))))))))))))))))))))))))))))))))))))))))))))))))***++++++***)))(((***+++))))))))))))))))))))))))++++++******))))))))))))((((((((((((((()))***+++************))))))))))))******)))))))))))))))************))))))(((((((((((())))))((('''))),,,...))))))))))))))))))))))))))))))(((((())))))******))))))))))))))))))))))))))))))(((((((((((())))))((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''((()))))))))***,,,---------,,,+++******))))))))))))******(((((((((((())))))))))))***)))(((''''''&&&'''''''''&&&&&&&&&&&&'''(((((('''''''''''''''''''''''''''(((((())))))((((((''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&''''''((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&'''''''''''''''(((((((((((((((&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''((((((''''''((())))))(((&&&''''''''''''''''''''''''%%%&&&''''''((('''''''''$$$%%%%%%%%%%%%%%%%%%$$$''''''''''''''''''''''''((((((((('''''''''&&&&&&&&&&&&&&&'''''''''((((((&&&&&&'''(((((('''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((((((''''''(((***'''''''''(((((((((((((((&&&&&&&&&'''''''''''''''&&&&&&&&&''''''''''''(((''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&''''''((())))))))))))))))))))))))))))))))))))))))))))))))((())))))))))))************,,,---..................,,,---......---,,,---...------------------------------------...///000000333222111///...---,,,,,,,,,------------------,,,------............------///......------....../////////............//////////////////000000000000------------.........///...000222444444444222111333333444444333333222111000000/////////.........***++++++,,,,,,------...------,,,---...000333444************************((()))))))))************((()))))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))***************)))))))))))))))(((((())))))))))))************)))******+++***)))((('''''')))***)))((('''(((***))))))))))))))))))))))))************************))))))))))))))))))))))))))))))))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))***++++++***))))))+++---***)))(((((((((((()))***((((((((((((((())))))***&&&'''(((((()))***++++++'''(((((()))))))))((((((******)))))))))*********&&&&&&''''''''''''((((((((()))))))))((((((***,,,''''''(((((()))*********((())))))***++++++******))))))))))))))))))))))))))))))(((((((((((())))))((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((('''((((((((()))))))))***(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''((()))))))))***,,,---...---,,,+++))))))(((((((((((())))))'''((((((((()))))))))******)))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''''''''''''''''''''''''''((()))******)))(((''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%&&&&&&'''((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''((('''''''''''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&(((''''''''''''((())))))***)))'''''')))***)))(((((((((((((((((((((((((((%%%&&&&&&'''((((((''''''%%%%%%&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''((((((((((((''''''''''''$$$%%%%%%&&&'''((())))))&&&&&&'''(((((('''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((((((''''''(((***''''''''''''((((((((()))&&&&&&&&&'''''''''((((((%%%&&&&&&''''''''''''''')))((('''&&&&&&&&&'''((((((((((((((((((((((((((((((((((((((((((((((((((('''&&&&&&&&&&&&'''(((((())))))))))))))))))))))))))))))))))))))))))******))))))))))))************------.........---,,,,,,+++---///000...---------,,,,,,,,,,,,,,,,,,,,,,,,///...---------...//////000///...---,,,,,,,,,,,,------............------......////////////......///......------......//////......------......///.../////////000000000111,,,,,,,,,,,,------------...000333555666555333222333333444444444333222222000/////////............111///......//////...---******)))***,,,///222333))))))))))))))))))))))))(((((())))))*********+++(((((())))))*********+++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))******************))))))((((((''''''))))))))))))************)))******++++++)))((('''((()))***)))((('''(((***))))))))))))))))))))))))************************))))))))))))))))))))))))''''''(((((())))))******)))))))))))))))))))))))))))))))))))))))))))))))))))***+++***)))***+++------,,,***((((((***,,,---'''''''''((()))***,,,,,,&&&''')))***+++,,,,,,,,,'''((()))************)))******)))))))))******+++###$$$%%%&&&'''((()))***'''(((******(((((()))***&&&&&&'''((()))***++++++((()))***,,,,,,,,,+++***))))))))))))))))))))))))))))))(((((((((((())))))((((((((((((((((((((((((''''''''''''((((((((()))((((((((((((((((((((((((''''''''''''((((((((()))'''((((((((())))))******(((((((((((((((((((((((())))))))))))))))))))))))'''''''''''''''''''''''''''''''''''''''((()))))))))***,,,......---,,,+++((((((''''''''''''(((((('''((((((((())))))************)))''''''&&&&&&&&&&&&&&&&&&&&&&&&'''((()))'''''''''''''''''''''''''''((()))******)))(((''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%&&&'''(((((((((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&)))))))))))))))***++++++,,,***'''''')))***+++***))))))))))))))))))))))))%%%%%%&&&'''((((((((('''&&&''''''''''''''''''&&&'''''''''''''''''''''&&&)))(((((((((''''''''''''###$$$%%%&&&''')))******%%%&&&'''(((((('''&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((((((''''''(((***&&&'''''''''(((((())))))&&&&&&&&&'''''''''((((((%%%&&&''''''((((((''''''***)))'''%%%$$$%%%'''((((((((((((((((((((((((((((((((((((((((((((((((((('''&&&&&&&&&&&&'''(((((())))))))))))))))))))))))((()))))))))*********+++))))))))))))************............---,,,+++++++++---000111///...------,,,,,,,,,,,,,,,,,,,,,,,,000///------,,,---...//////......---------......---......//////......---......////////////...............------.........///......---------........./////////000000111111+++++++++,,,,,,,,,------,,,...111333444333222111333444555666666444222111000000000000////////////,,,,,,,,,+++++++++******++++++++++++++++++++++++++++++++++++*********)))+++***)))))))))***,,,---++++++++++++*********)))***)))(((''''''((()))***'''''''''''''''((())))))+++++++++*********))))))))))))))))))))))))))))))))))))))))))************+++++++++*********)))))))))((('''&&&&&&'''((()))(((((())))))))))))(((((())))))))))))***************************)))(((((()))************))))))(((******))))))((((((''''''))))))************))))))(((((())))))))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))******))))))((((((''''''))))))))))))((((((((((((******))))))((((((''''''))))))))))))))))))))))))))))))))))))************))))))))))))))))))))))))))))))(((((('''''''''&&&((((((''''''''''''((((((------+++***))))))))))))((((((((((((((((((((((((+++***)))'''&&&&&&&&&&&&&&&&&&''''''(((((())))))((((((''''''&&&&&&%%%%%%((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&%%%))))))))))))))))))))))))''''''''''''((((((((((((+++,,,---......,,,+++)))((((((((((((((((((((((((''''''&&&%%%%%%'''((()))((((((((((((((((((((((((((('''&&&%%%%%%&&&'''(((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))(((&&&&&&''''''&&&%%%'''&&&%%%%%%%%%%%%&&&'''((((((((((((((((((((((((''''''''''''(((((((((((('''(((((('''&&&%%%&&&'''''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''((((((((())))))))))))(((((('''''''''&&&&&&%%%%%%%%%))))))(((((('''''''''&&&((((((((((((((((((((((((&&&&&&&&&%%%%%%$$$$$$$$$###&&&)))(((&&&%%%''')))'''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''((()))((('''&&&''')))''''''&&&&&&&&&&&&'''''''''&&&%%%&&&((((((((('''''''''&&&%%%&&&'''((()))&&&&&&&&&''''''''''''(((''''''''''''''''''''''''(((((())))))((('''&&&&&&(((''''''&&&&&&((()))***(((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))))))))))))))***+++,,,---,,,++++++++++++,,,---------,,,,,,*********++++++,,,,,,,,,///000---)))+++111///(((/////////...---,,,***)))...---,,,,,,++++++,,,,,,------...............---........................////////////...---,,,+++---...///111333555777888.........------,,,,,,,,,///......------......///333444555555555444222222111111000000000/////////,,,,,,,,,++++++++++++***++++++++++++++++++++++++++++++*********)))))))))******))))))******+++,,,++++++*********)))))))))***)))(((((('''((()))***((((((''''''(((((()))***+++++++++*********))))))))))))))))))))))))))))))))))))))))))************+++++++++*********)))))))))((((((''''''(((((()))(((((())))))))))))(((((())))))))))))***************************)))((((((((())))))*********))))))))))))))))))(((((((((((())))))************))))))(((((())))))))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))***)))))))))((((((((('''***)))))))))((((((((((((***)))))))))((((((((('''))))))))))))))))))))))))'''(((((((((((()))))))))))))))))))))))))))))))))))))))(((((((((''''''''')))((((((''''''(((((()))++++++***(((((('''''''''((((((((((((((((((((((((***)))((('''''''''''''''(((((((((((((((((())))))((((((((('''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''&&&&&&((((((((((((((((((((((((''''''''''''((((((((((((***+++---------,,,***)))((((((((((((((((((((((((&&&&&&&&&&&&&&&'''((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))'''&&&&&&''''''&&&%%%''''''&&&%%%%%%&&&''''''((((((((((((((((((((((((''''''''''''((((((((((((&&&((())))))'''&&&&&&'''''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''(((''''''(((((((((((('''''''''&&&&&&&&&&&&&&&&&&%%%)))(((((((((''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$&&&)))((('''&&&''')))'''&&&&&&%%%%%%&&&&&&'''((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''((((((((('''''''''''''''''''''''''''((()))((('''&&&''')))''''''&&&&&&&&&&&&'''''''''&&&%%%&&&(((((((((''''''&&&&&&%%%&&&'''((()))&&&&&&&&&''''''''''''(((''''''''''''''''''''''''((((((((((((((('''&&&&&&(((''''''&&&'''((()))***((((((((((((((((((((((((************************))))))))))))))))))))))))))))))++++++,,,++++++***++++++,,,---------,,,,,,++++++++++++++++++,,,,,,,,,,,,***)))+++...---***++++++,,,---------------...---,,,,,,++++++,,,,,,,,,---...///////////////........................///000000///...---,,,,,,...///000111222333333444......---------,,,,,,,,,+++,,,---......---,,,+++444444444444333333333333111111111111000000000000,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++******)))))))))((((((((())))))***+++++++++++++++******)))))))))((((((((())))))((((((((())))))***)))(((((((((((()))******+++++++++***************))))))))))))))))))))))))))))))))))))************+++************)))))))))((())))))******))))))((((((((())))))))))))(((((())))))))))))***************************)))(((((('''((()))***************(((((((((((())))))))))))((())))))******))))))((((((((())))))))))))(((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))((((((((((((******)))))))))((((((((())))))))))))(((((((((((())))))))))))))))))))))))''''''''''''(((((((((((())))))))))))))))))))))))))))))((((((((((((''''''***))))))(((((())))))***)))(((((('''&&&&&&&&&&&&(((((((((((((((((((((((()))((((((''''''(((((()))))))))))))))))))))(((((('''((((((((((((((())))))))))))))))))))))))))))))(((((((((((((((((((((((())))))((((((((((((''''''''''''''''''''''''''''''''''''''''''((((((((((((******+++,,,,,,***)))(((((((((((((((((((((((((((%%%&&&''''''((((((''''''((((((((((((((((((((((((&&&''''''''''''''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&'''(((&&&%%%''''''&&&%%%%%%&&&''''''((((((((((((((((((((((((''''''''''''((((((((((((&&&(((++++++)))'''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''(((&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((((((''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&(((((('''''''''((('''&&&&&&&&&&&&&&&''''''((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&'''''''''''''''''''''''''''((()))((('''&&&''')))''''''&&&&&&&&&&&&'''''''''&&&%%%&&&(((((((((''''''&&&&&&&&&&&&'''((((((&&&&&&&&&''''''''''''(((''''''''''''''''''''''''(((((((((((((((''''''&&&(((''''''''''''((())))))((((((((((((((((((((((((************************))))))))))))))))))))))))(((((()))******************+++,,,,,,---------,,,,,,,,,+++++++++++++++++++++))))))+++,,,+++,,,///++++++,,,---......//////...------,,,,,,,,,,,,,,,,,,---...///000111111111........................000000000000///...------////////////////////////...------------,,,,,,,,,+++,,,...000000...,,,+++555444333222222222333333222111111111000000000000------,,,,,,,,,+++++++++++++++++++++++++++++++++))))))))))))((((((((((((((()))***,,,,,,+++******))))))))))))(((((((((((())))))))))))))))))******)))))))))))))))******+++************************((((((((((((((((((((((((((()))))))))************************))))))))))))((()))***++++++***)))((((((((())))))))))))((((((((()))))))))***************************)))((((((&&&'''(((******+++++++++''''''(((((())))))******(((((())))))))))))(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))((((((((((((*********)))))))))(((((())))))))))))(((((((((((())))))))))))))))))))))))'''''''''((((((((())))))))))))))))))))))))))))))))))))((((((((((((((((((******))))))))))))******(((((('''&&&&&&&&&''''''((((((((((((((((((((((((((((((''''''((()))******++++++******))))))((((((''''''(((((())))))******))))))))))))))))))))))))(((((((((((((((((((((((()))))))))))))))(((((((((''''''''''''''''''''''''''''''''''''(((((((((((()))******+++***)))(((((((((((((((((((((((((((((($$$%%%'''((((((((('''&&&((((((((((((((((((((((((%%%&&&'''(((((('''&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((('''&&&&&&'''((('''%%%''''''&&&&&&&&&&&&''''''((((((((((((((((((((((((''''''''''''((((((((((((&&&(((+++,,,+++(((&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''(((&&&''''''((((((''''''&&&%%%%%%&&&&&&''''''((((((((((((((((((((('''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%&&&'''(((((((((((((((((('''&&&&&&&&&&&&''''''(((&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########'''''''''''''''''''''''''''((()))((('''&&&''')))''''''&&&&&&&&&&&&'''''''''&&&%%%&&&((((((((('''&&&&&&&&&&&&''''''((((((&&&&&&&&&''''''''''''((('''''''''''''''''''''''''''(((((((((((((((''''''''''''''''''((((((((()))((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((('''(((((()))))))))))))))******+++,,,------------,,,,,,,,,++++++*********...******......+++,,,222//////........./////////......---,,,,,,,,,,,,,,,,,,---...000111222222222........................000000000000000///.....................------------------------------------...000111111000...---555444333222222222222333111111111000000000000///---------,,,,,,,,,++++++++++++++++++++++++++++++))))))))))))((((((((((((((()))***,,,,,,+++******))))))))))))(((((((((((((((((()))***************)))))))))))))))******+++************************((((((((((((((((((((((((((()))))))))************))))))))))))))))))))))))((()))***++++++***)))((((((((())))))))))))((((((((()))))))))***************************)))((((((&&&'''(((******+++++++++''''''(((((())))))******(((((())))))))))))(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))************))))))))))))(((((((((((())))))))))))(((((((((((((((((((((((((((((()))))))))*********(((((((((((((((((((((((((((((())))))))))))))))))******))))))))))))******((((((((('''(((((())))))(((((((((((((((((((((((((((((('''(((((()))***+++++++++******))))))((((((''''''(((((())))))******((((((((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))''''''''''''''''''''''''''''''''''''((((((((((((************))))))(((((((((((((((((((((((((((((($$$%%%'''((((((((('''&&&((((((((((((((((((((((((%%%&&&'''(((((('''&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((&&&%%%&&&'''((('''&&&''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''((((((((((((&&&(((+++,,,+++(((&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''(((((((((((())))))(((((((((&&&&&&&&&''''''((((((((('''''''''(((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((())))))((((((&&&&&&&&&&&&&&&'''((()))&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########'''''''''''''''''''''''''''((()))((('''&&&''')))''''''&&&&&&&&&&&&'''''''''&&&%%%&&&((((((((('''&&&&&&&&&'''''''''''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''''''''((((((((((((((('''&&&''''''(((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((())))))))))))***+++,,,------------,,,,,,,,,++++++*********...+++***---...,,,,,,///000000//////000111222333///...------,,,,,,------,,,---...000111222222222////////////////////////000000000000000//////...---------------.........------------------------......////////////......333333333333222222222222000000000000////////////------------,,,,,,,,,,,,++++++++++++++++++++++++******)))))))))((((((((())))))***+++++++++++++++******)))))))))((((((((((((((()))***++++++++++++)))(((((((((((()))*********************+++++++++))))))))))))))))))))))))))))))))))))************(((((()))))))))))))))***((())))))******))))))((((((((())))))))))))(((((())))))))))))***************************)))(((((('''((()))***************(((((((((((())))))))))))'''(((((())))))(((((('''(((((())))))))))))(((((((((((((((((((((((((((((())))))))))))))))))))))))(((((((((((())))))))))))++++++*********)))))))))(((((((((((())))))))))))(((((((((((((((((((((((())))))))))))************(((((((((((((((((((((((((((((())))))))))))*********))))))(((((())))))***(((((((((((()))***++++++(((((((((((((((((((((((((((((((((((())))))***+++))))))))))))))))))(((((('''((((((((((((((())))))((((((((((((((((((((((((((((((((((((((((((((((((''''''(((((((((((())))))''''''''''''''''''''''''''''''''''''((((((((((((*********)))))))))))))))((((((((((((((((((((((((%%%&&&''''''((((((''''''((((((((((((((((((((((((&&&''''''''''''''''''&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%&&&(((((((((&&&&&&'''(((((((((((('''&&&((((((((((((((((((((((((''''''''''''((((((((((((&&&(((++++++)))'''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''((((((((())))))))))))(((((('''''''''''''''((((((((('''''''''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''(((******)))'''&&&&&&&&&&&&'''((())))))((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&'''''''''''''''''''''''''''((()))((('''&&&''')))''''''&&&&&&&&&&&&'''''''''&&&%%%&&&((((((((('''%%%&&&''''''((((((''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&'''((((((((((((((((((&&&''''''((()))(((((((((((((((((((((((((((((((((************************))))))))))))))))))))))))((((((((((((((()))******)))***+++,,,---.........,,,,,,++++++++++++++++++,,,,,,***))),,,111000,,,,,,,,,---...111444777999///......---------------,,,---...///000111111111/////////////////////////////////000000//////...........................,,,,,,,,,------------...,,,---............---,,,222222333444333222111000////////////.........---...------------,,,,,,,,,++++++++++++++++++++++++++++++*********)))))))))******))))))******+++,,,++++++*********)))))))))'''(((***+++,,,,,,++++++((((((''''''(((((()))***))))))*********+++++++++))))))))))))))))))))))))))))))))))))************(((((((((((())))))******)))((((((''''''(((((()))(((((())))))))))))(((((())))))))))))***************************)))((((((((())))))*********))))))))))))))))))((((((((((((''''''((((((((((((''''''(((((())))))))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))'''((((((((()))))))))***+++++++++*********))))))'''((((((((()))))))))***((((((((((((((((((((((((((((((((())))))))))))***(((((((((((((((((((((((((((((()))))))))*********)))((((((''''''(((((()))(((((((((((()))***+++,,,(((((((((((((((((((((((()))))))))((())))))******(((((((((((((((((())))))((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&'''''''''(((((((((((((((((((((((((((((((((''''''''''''((((((((((((++++++******)))))))))***((((((((((((((((((((((((&&&&&&&&&&&&&&&'''((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%&&&((()))((('''&&&'''((())))))((('''&&&((((((((((((((((((((((((''''''''''''((((((((((((&&&((())))))'''&&&&&&'''''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''((('''(((((((((((((((((('''((((((((((((''''''''''''''''''''''''((((((((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((('''&&&(((***+++)))'''&&&&&&&&&&&&'''((()))***((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''((((((((('''''''''''''''''''''''''''((()))((('''&&&''')))''''''&&&&&&&&&&&&'''''''''&&&%%%&&&((((((((('''%%%&&&'''((((((((('''&&&&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&'''(((((((((((((((&&&&&&((()))))))))((('''((((((((((((((((((((((((************************))))))))))))))))))))))))))))))((((((((()))***+++))))))+++,,,---.........++++++++++++++++++,,,,,,***...+++&&&///<<<:::---******+++---000333777999//////...---------------,,,---...///////////////////////////////////////---....../////////......222222111000///...------,,,,,,,,,---------......***---111444444111---***111222444444444333111//////.........------------......---------,,,,,,,,,++++++++++++++++++++++++++++++++++++************+++***)))))))))***,,,---++++++++++++************'''(((***+++,,,,,,++++++'''''''''''''''((())))))))))))******++++++++++++))))))))))))))))))))))))))))))))))))************'''((((((((())))))******)))((('''&&&&&&'''((()))(((((())))))))))))(((((())))))))))))***************************)))(((((()))************))))))(((******))))))((((((''''''''''''((((((((((((''''''(((((())))))))))))((((((************************))))))))))))))))))))))))'''((((((((())))))******+++++++++************)))'''((((((((())))))******((((((((((((((((((((((((''''''''''''((((((((()))(((((((((((((((((((((((((((((())))))*********+++((((((''''''''''''((((((''''''''''''(((***+++,,,((((((((((((((((((((((((******))))))))))))******&&&&&&''''''(((((())))))((((((''''''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((%%%&&&&&&&&&''''''(((((())))))))))))))))))))))))''''''''''''((((((((())),,,++++++***)))*********((((((((((((((((((((((((''''''&&&%%%%%%'''((()))((((((((((((((((((((((((((('''&&&%%%%%%&&&'''(((''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((('''&&&%%%&&&((()))((('''&&&'''((())))))((('''&&&((((((((((((((((((((((((''''''''''''((((((((()))'''(((((('''&&&%%%&&&''''''''''''&&&&&&'''''''''&&&&&&&&&'''''''''((((((&&&''''''''''''''''''&&&))))))((((((''''''&&&&&&&&&'''''''''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((()))'''&&&(((++++++)))'''&&&&&&&&&'''''')))******&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''((()))((('''&&&''')))'''''''''&&&&&&''''''''''''&&&%%%&&&((((((((('''%%%%%%'''((((((((('''&&&&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&'''((())))))((((((%%%&&&((()))))))))((('''(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))***)))((((((((()))+++,,,((()))+++,,,---.........*********++++++,,,,,,---+++222...'''333GGGDDD222,,,,,,+++,,,---000333555//////...------------...------...............---000000000000000000000000------...............---666555444222000...,,,+++,,,,,,,,,------.........+++000777<<<<<<777000+++666555333333333333111000000/////////..................//////......---,,,,,,,,,,,,,,,,,,,,,,,,,,,************************))))))***++++++++++++***++++++******))))))(((((()))(((''''''(((***,,,...******))))))))))))******)))))))))))))))(((''''''******))))))((((((''''''))))))))))))(((((((((((())))))))))))))))))))))))---***&&&%%%&&&((()))***))))))))))))))))))))))))'''''''''(((((((((((((((***)))(((''''''((()))***))))))))))))))))))))))))+++)))((()))***,,,,,,+++))))))(((((((((((())))))''''''((((((((((((''''''******))))))((((((''''''******))))))))))))******(((((((((((())))))))))))+++***)))(((((()))***+++))))))*********))))))((())))))((((((((((((((()))*********)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************))))))))))))))))))))))))'''''''''''''''((())))))***(((&&&&&&((((((((('''))))))))))))))))))))))))((('''&&&%%%%%%&&&'''(((&&&&&&&&&'''((())))))***************)))(((&&&&&&'''((((((((()))))))))***(((((())))))))))))(((((()))((('''&&&&&&''')))***++++++***)))(((((())))))&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''(((((('''''''''&&&&&&&&&'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((()))((('''&&&&&&'''((()))+++*********))))))(((((())))))))))))))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&))))))(((((('''''''''&&&((((((''''''''''''(((((((((((('''''''''&&&&&&&&&''''''''''''''''''''''''''''''(((((('''&&&%%%%%%%%%&&&((('''&&&&&&'''))))))(((%%%$$$(((,,,***###''''''''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&&&&&&&'''''''''''''''''''''((())))))(((((((((((((((((((((((()))((('''((())))))'''%%%******))))))((((((''''''((((((((((((((((((((((((((((((''''''''''''(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))******************+++++++++,,,,,,,,,---------............/////////.........---------.........------,,,,,,,,,.........////////////000000000//////.........---........................333444444333111///...///------------------------...000333555555333000...666444333333333333222000000000/////////...............//////......---,,,,,,,,,,,,,,,,,,,,,,,,,,,************************))))))***++++++++++++***************))))))))))))***)))((('''(((***+++---******))))))))))))******)))))))))))))))(((''''''))))))))))))(((((((((((())))))))))))(((((((((((())))))))))))))))))))))))***(((&&&%%%''')))))))))))))))))))))))))))))))))'''''''''(((((((((((((((***)))(((((((((((()))***))))))))))))))))))))))))))))))(((((()))***+++***))))))(((((((((((())))))((((((((((((((((((((((((***)))))))))((((((((('''***))))))(((((())))))***(((((((((((())))))))))))***))))))))))))))))))***))))))*********))))))((())))))(((((((((((())))))***)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************))))))))))))))))))))))))'''''''''''''''((())))))---+++)))((((((((('''&&&))))))))))))))))))))))))((('''&&&&&&&&&&&&'''(((&&&&&&''''''((())))))************))))))(((&&&&&&(((((((((((((((((((((((((((((())))))))))))((((((((('''&&&&&&&&&((()))+++++++++***)))))))))))))))&&&''''''((((((''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''(((((('''''''''&&&&&&&&&'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((&&&''''''''''''''''''&&&''''''''''''''''''''''''&&&&&&''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''((()))***+++*********)))))))))((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''((('''''''''''''''''''''''')))(((((((((''''''''''''((((((''''''''''''(((((((((((('''''''''&&&&&&&&&''''''''''''''''''''''''''''''(((((('''&&&&&&%%%###%%%&&&&&&%%%$$$&&&'''$$$&&&%%%$$$'''+++***&&&''''''''''''''''''''''''''''''''''''((((((((((((((((((''''''''''''(((((('''''''''''''''((())))))(((((((((((((((((((((((())))))))))))(((''''''&&&***)))))))))((((((((('''((((((((((((((((((((((((((((((''''''''''''(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))*********************+++++++++,,,,,,------------..................------,,,,,,,,,,,,.........------,,,,,,,,,------.........////////////000000000000///...---........................222333444222000.........------------------------...///111333333111///...666444333333333333222000000000000/////////............//////......---,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++))))))***++++++++++++***)))))))))***************+++***)))(((((()))++++++******))))))))))))******))))))******))))))(((((((((((((((((())))))))))))(((((((((((())))))))))))))))))))))))))))))))))))(((&&&&&&''')))***)))((((((((((((((((((((((((((('''''''''(((((()))))))))***))))))(((((())))))***))))))))))))))))))))))))(((((((((((()))))))))***))))))(((((((((((())))))))))))''''''''''''))))))))))))))))))(((((((((((()))((((((''''''(((((()))(((((((((((())))))))))))((())))))******))))))(((((())))))******)))))))))))))))(((((((((((())))))))))))))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************))))))))))))))))))))))))'''''''''''''''((())))))///,,,***)))))))))'''&&&))))))))))))))))))))))))(((''''''&&&&&&''''''(((&&&&&&''''''((()))))))))))))))))))))(((''''''&&&))))))(((((((((((((((((((((((())))))))))))(((((('''&&&&&&&&&'''(((***++++++***))))))))))))))))))&&&''''''((((((''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''(((((((((''''''''''''&&&'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&&&&&&&'''(((((((((''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((''''''((()))***,,,...///******))))))))))))((((((''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((((((((((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''(((((((((((((((''''''''''''&&&'''''''''''''''''''''''''''''''''(((''''''&&&%%%###%%%&&&&&&%%%%%%&&&'''%%%)))***'''''')))***)))''''''''''''''''''''''''&&&''''''''''''((((((((())))))(((((((((((())))))'''''''''''''''((())))))(((((((((((((((((((((((((((+++---+++(((&&&&&&((())))))))))))((((((((((((((((((((((((((((((((((((((((((''''''''''''(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))*********************++++++++++++,,,,,,,,,,,,---------......---,,,,,,,,,,,,+++++++++.........---------------,,,---------............///000111222222000///---........................000111222111///---------------------------------......///000000///......555444222333333444222111000000000////////////............///......---,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++))))))***++++++++++++***)))))))))******+++++++++++++++***)))))))))***+++******))))))))))))******))))))*********))))))(((''''''(((((())))))******(((((((((((())))))))))))((((((((((((((((((((((((&&&&&&''')))+++,,,***)))'''''''''''''''''''''''''''''''''((())))))******))))))))))))))))))))))))((((((((((((((((((((((((((()))******)))))))))***))))))(((((((((((())))))***)))'''&&&&&&''')))***))))))))))))((((((((((((((((((''''''''''''(((((((((((((((((())))))))))))'''((()))******)))(((''''''((()))))))))))))))))))))(((((((((((())))))***)))))))))))))))*********(((((((((((((((((((((((())))))))))))))))))))))))(((((()))***************(((((((((((((((((((((((('''''''''''''''((())))))---+++)))((())))))(((&&&((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''(((((())))))(((((())))))(((''''''&&&'''''''''((((((((())))))(((((())))))))))))((((((%%%%%%%%%&&&''')))+++,,,******)))))))))))))))***''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((''''''''''''''''''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''%%%%%%%%%&&&'''((())))))''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((&&&'''(((***,,,...000111))))))))))))))))))((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((''''''''''''''''''''''''((((((((((((((('''''''''((((((''''''''''''((((((((((((((('''''''''''''''''''''''''''''''''''''''&&&'''''''''''''''&&&&&&&&&'''((((((''''''((()))+++111222---''''''))))))''''''''''''''''''''''''&&&&&&&&&'''''''''((((((((((((''''''''''''(((((('''''''''''''''((())))))(((((((((((((((((((((((((((,,,///---(((%%%&&&)))))))))))))))((((((((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((((((((())))))))))))))))))))))))((()))))))))************************+++++++++++++++,,,,,,,,,---------------,,,,,,,,,,,,,,,,,,,,,...............---------,,,,,,,,,---------.........000222333333222///---...........................000111000...,,,,,,,,,------------------------......------------......555333222222444444333111111000000000////////////.........///......---,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++))))))***++++++++++++***))))))******++++++,,,,,,+++++++++*********************))))))))))))******))))))************))))))''''''(((((())))))******'''((((((((()))))))))***((((((((((((((((((((((((''''''(((+++------+++)))&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((()))******+++))))))************))))))(((((((((((((((((((((((()))+++------+++******+++))))))(((((((((((())))))+++***(((''''''(((***+++(((((((((((())))))))))))((((((''''''''''''(((((((((((((((((())))))))))))'''((()))******)))((('''''''''((()))))))))))))))((((((((((((((()))******(((((())))))************(((((((((((((((((((((((())))))))))))))))))))))))(((((()))***************(((((((((((((((((((((((('''''''''''''''((()))))))))(((&&&&&&((())))))(((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((('''((((((((((((''''''&&&$$$%%%&&&'''((()))***+++(((((())))))))))))((((((%%%%%%&&&'''((()))***+++***)))))))))))))))******'''(((((((((((((((((('''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''&&&&&&&&&&&&'''(((((((((((((((((((((((((((((()))(((''''''''''''((()))''''''''''''''''''''''''%%%%%%%%%&&&'''((())))))''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((&&&'''(((+++---...000000(((((((((((((((((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&'''''''''''''''&&&&&&''')))(((''''''(((***+++111333---'''&&&((()))''''''''''''''''''''''''&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%&&&&&&''''''''''''''''''((())))))(((((((((((((((((((((((((((,,,///---(((%%%'''***(((((((((((())))))))))))((((((((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))************))))))*********+++++++++++++++++++++,,,,,,,,,---------------....................................,,,,,,,,,---------......---///111333333222000...........................---///000///---+++,,,,,,------------------------------,,,++++++,,,------444333222222444444333222111111000000000/////////......//////......---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,))))))***++++++++++++************+++++++++++++++******++++++++++++++++++******))))))))))))******))))))******++++++******(((((((((((())))))))))))''''''(((((())))))******))))))))))))))))))))))))(((((((((***,,,---+++)))''''''''''''''''''''''''''''''((())))))***++++++)))******++++++******)))))))))))))))))))))))))))))),,,//////,,,******,,,))))))(((((((((((())))))******((((((((((((******(((((((((((()))))))))))))))((((((''''''(((((()))(((((((((((())))))))))))'''(((((())))))(((((('''&&&&&&'''((())))))))))))(((''''''(((((()))***+++((((((((()))******++++++))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************))))))))))))))))))))))))'''''''''''''''((())))))'''&&&%%%&&&((()))))))))))))))))))))))))))))))))'''(((((())))))(((((('''''''''((((((((((((((((((''''''(((((((((''''''&&&$$$$$$%%%&&&((()))******(((((())))))))))))((((((%%%&&&&&&'''((()))******)))))))))))))))******+++'''(((((())))))(((((('''(((((((((((((((((((((((((((((((((((((((((((((((('''(((((((((((()))))))))'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((***)))(((''''''((()))***''''''''''''''''''''''''%%%&&&&&&&&&'''(((((((((''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((&&&'''(((***,,,---------''''''(((((((((((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((((((((((((''''''''''''(((((('''(((((((((((()))))))))''''''''''''''''''''''''%%%&&&''''''((('''''''''$$$&&&''''''&&&&&&'''((($$$+++---)))%%%&&&)))***''''''''''''''''''''''''%%%&&&&&&&&&&&&'''''''''&&&%%%%%%%%%%%%%%%%%%&&&'''''''''''''''((())))))(((((((((((((((((((((((('''***,,,+++((('''((()))(((((((((((())))))))))))((((((((((((((((((((((((((((((''''''''''''(((((())))))))))))))))))))))))(((((((((((((((((((((((())))))))))))************)))))))))************+++******+++++++++,,,,,,,,,------...............///.............../////////,,,---------............---///000222222111000///........................---...//////---,,,,,,------------------------------,,,,,,++++++,,,,,,---444333222222444444333222111111111000000000//////......//////......---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,))))))***++++++++++++***,,,++++++++++++++++++***)))******+++,,,,,,,,,,,,******))))))))))))******((()))***++++++++++++***))))))))))))(((((((((((('''''''''((()))*********))))))))))))))))))))))))(((((('''(((******)))'''''''''''''''''''''''''''&&&'''((()))***+++,,,,,,)))***++++++++++++***)))))))))))))))))))))))))))(((,,,000///+++((()))+++))))))(((((((((((())))))))))))))))))))))))))))))'''((((((((()))))))))******))))))(((((())))))***(((((((((((())))))))))))(((((((((''''''(((((((((%%%&&&'''((())))))))))))''''''''''''((()))***+++'''(((((()))******++++++))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************))))))))))))))))))))))))'''''''''''''''((()))))))))(((&&&'''(((***)))((())))))))))))))))))))))))'''((()))******)))((('''((((((((((((((((((((('''&&&&&&'''((((((''''''&&&&&&&&&&&&''''''''''''((((((((())))))))))))((((((&&&&&&'''((((((((((((((()))))))))))))))***++++++(((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((('''((((((((())))))))))))'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((***)))(((''''''((()))***''''''''''''''''''''''''&&&&&&''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((&&&'''((()))******))))))'''''''''((((((((())))))&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((''''''''''''''''''''''''''''''''''''((((((((()))((((((''''''''''''(((((('''((((((((())))))))))))''''''''''''''''''''''''%%%&&&&&&'''((((((''''''%%%&&&''''''&&&&&&'''(((###(((***&&&$$$&&&((('''''''''''''''''''''''''''%%%%%%&&&&&&&&&'''''''''&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''((())))))((((((((((((((((((((((((''''''((()))))))))(((((('''((((((((()))))))))***((((((((((((((((((((((((((((((''''''''''''(((((())))))))))))))))))))))))(((((((((((((((((((((((())))))))))))************))))))))))))************************++++++++++++,,,,,,,,,------.........---........./////////000------........./////////---...///000000000000///........................---...//////---,,,,,,---------------------------,,,,,,,,,,,,,,,,,,,,,,,,444333222222444444444222111111111111000000000000......//////......---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,))))))***++++++++++++***---,,,,,,++++++*********((()))***+++,,,---------******))))))))))))******((()))***+++++++++++++++******))))))((((((''''''&&&''''''((()))******+++))))))))))))))))))))))))((('''&&&&&&'''((('''%%%((((((((((((((((((((((((&&&'''((()))***+++,,,,,,)))***+++,,,,,,+++***)))))))))))))))))))))))))))'''+++///...***'''(((***))))))(((((((((((())))))))))))************))))))'''((((((((())))))************))))))))))))******(((((((((((()))))))))))))))((('''&&&&&&'''((()))%%%&&&'''((())))))))))))''''''''''''((()))++++++'''(((((()))***+++++++++))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************))))))))))))))))))))))))'''''''''''''''((()))))),,,+++)))((()))***)))((())))))))))))))))))))))))'''((()))******)))((('''((((((((((((((('''''''''&&&&&&''''''(((''''''&&&))))))((('''&&&&&&%%%%%%(((((())))))))))))((((((''''''((((((((((((((('''))))))((())))))***++++++(((((())))))))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))'''((((((((())))))******'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((+++)))(((''''''((()))+++'''''''''''''''''''''''''''''''''''''''&&&&&&&&&))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((&&&'''((())))))((('''&&&&&&'''''''''(((((())))))''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''((((((((((((((((((((((((((((((&&&'''''''''(((((())))))((((((''''''''''''(((((('''((((((((())))))******''''''''''''''''''''''''%%%%%%&&&'''(((((((((''''''((())))))(((((()))+++(((++++++'''%%%''''''$$$''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&''''''''''''''''''''''''((())))))((((((((((((((((((((((((&&&&&&&&&''')))***)))((('''((((((((())))))******((((((((((((((((((((((((((((((''''''''''''(((((())))))))))))))))))))))))(((((((((((((((((((((((())))))))))))************))))))))))))************)))************++++++++++++++++++,,,,,,------------.........//////000000.........////////////000............//////000000........................---...000///...------...------------------------+++,,,,,,------,,,,,,+++333333333333333333333333111111111111000000000000000///...---,,,---......111...------000111///---...+++))))))+++---...------------,,,,,,+++++++++***************************++++++,,,,,,++++++***,,,+++***))))))***+++,,,+++++++++++++++***)))(((*********)))))))))))))))++++++******))))))(((((((((((())))))))))))(((((())))))))))))))))))))))))%%%'''(((((('''&&&&&&'''''''''((()))))))))))))))((((((((((((((('''''''''************************))))))))))))))))))))))))+++***)))(((((()))***+++******))))))))))))******(((&&&%%%&&&(((******)))((())),,,------,,,)))(((******))))))))))))******+++)))''')))+++,,,***'''((()))*********((('''&&&))))))))))))))))))))))))''''''''''''(((((((((((()))))))))))))))******+++******))))))))))))******((((((''''''''''''((((((+++***)))(((((('''(((((())))))))))))))))))))))))''''''''''''''''''''''''))))))))))))))))))))))))))))))))))))(((((((((((()))))))))))))))(((''''''''''''''''''&&&&&&&&&&&&))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&''''''((()))))))))))))))))))))******************))))))((((((''''''(((((())))))))))))(((((((((((())))))))))))(((((()))(((''''''(((***,,,---******))))))((((((''''''))))))))))))))))))))))))+++***)))(((((()))***+++((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((((((((('''''''''&&&&&&&&&))))))(((((('''''''''&&&''''''''''''''''''''''''''''''''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))''''''((((((((((((''''''((((((((((((((((((((((((((('''&&&%%%%%%&&&'''(((''''''''''''((((((((((((''''''''''''((((((((((((&&&&&&''''''(((((())))))))))))(((((('''''''''&&&))))))((((((((((((&&&%%%((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((('''''''''((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''((())))))******))))))((((((''''''))))))))))))))))))))))))(((((((((((())))))))))))((('''''''''((()))+++,,,))))))))))))************...---,,,,,,,,,,,,---...******+++,,,---//////000////////////............---------------...//////444333000...------..............................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,333333333333333333333333111111111111000000000000000///...---,,,------...000...,,,---///000...,,,)))***,,,......,,,+++***------,,,,,,,,,+++++++++************************,,,,,,,,,------,,,,,,,,,,,,,,,+++******+++,,,,,,+++++++++++++++***))))))***)))))))))))))))))))))*********)))))))))))))))(((((())))))))))))(((((())))))))))))))))))))))))(((((())))))(((''''''''''''((())))))******))))))((((((((((((((((((((((((************************((((((((((((((((((((((((+++***)))(((((()))***+++******))))))))))))*********(((''''''((()))((('''((()))+++,,,,,,+++)))(((******))))))))))))******)))((('''(((******(((&&&((())))))***)))((('''&&&))))))))))))))))))))))))((((((((())))))))))))***)))))))))))))))******+++******))))))))))))******((((((''''''''''''((((((***))))))(((((((((((()))))))))))))))))))))))))))''''''''''''''''''''''''))))))))))))))))))))))))))))))))))))(((((((((((()))))))))))))))((('''''')))((((((''''''&&&&&&&&&))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&''''''((()))))))))))))))))))))******************))))))(((((((((((((((((())))))))))))(((((((((((())))))))))))(((((())))))((('''(((***,,,---***)))))))))((((((((('''))))))))))))))))))))))))******)))(((((()))******((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((((((((('''''''''&&&&&&&&&)))(((((((((''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((''''''&&&&&&''''''((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))''''''((((((((((((''''''((((((((((((((((((((((((((('''&&&&&&&&&&&&'''(((''''''''''''((((((((((((&&&&&&''''''(((((())))))'''''''''((((((((((((((()))((((((((('''''''''''''''''''''((())))))((('''((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((((((((('''((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''((())))))***)))))))))((((((((('''))))))))))))))))))))))))(((((((((((())))))))))))((((((''''''((()))***+++))))))))))))************...---,,,++++++,,,---...++++++,,,---...///000000000000000//////......---......------......///000444333111///---......///........................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,444444444333333222222222111111111111000000000000//////...------------......---,,,,,,......---,,,(((+++---...---...222555,,,,,,,,,,,,++++++++++++************************,,,------......------,,,---,,,++++++++++++,,,---***++++++++++++***))))))))))))))))))))))))******))))))))))))************(((((())))))))))))(((((())))))))))))))))))))))))***************)))((((((((()))******++++++******(((((((((((((((((((((((())))))))))))))))))))))))''''''''''''''''''''''''******))))))))))))************))))))))))))******,,,***((('''(((((('''&&&))))))))))))))))))))))))******))))))))))))******((('''''''''))))))'''&&&((((((((()))(((((('''&&&))))))))))))))))))))))))))))))))))))************)))))))))))))))******+++******))))))))))))******)))((((((''''''(((((()))))))))((((((((()))******))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))(((((((((((()))))))))))))))(((((('''******)))(((((('''&&&&&&))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&''''''((()))))))))))))))))))))***************))))))))))))((((((((((((((())))))))))))(((((((((((())))))))))))(((((())))))(((((((((***+++,,,))))))))))))(((((((((((())))))))))))))))))))))))***))))))(((((())))))***((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((((((((((((''''''''''''&&&((((((((((((''''''''''''(((((((((((((((((((((((())))))))))))))))))))))))(((''''''&&&&&&''''''((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))''''''((((((((((((''''''(((((((((((((((((((((((((((''''''&&&&&&''''''(((''''''''''''((((((((((((&&&&&&&&&'''((())))))***((((((((((((((('''''''''((((((((((((''''''''''''%%%&&&'''((())))))))))))((((((((((((((((((((((((''''''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''((())))))))))))))))))(((((((((((())))))))))))))))))))))))(((((((((((())))))))))))))))))(((((((((((()))***))))))))))))************---,,,,,,++++++,,,,,,---,,,,,,---...//////000000111111000000///...------...............///000000444333111///......//////........................------------------------------------------------555555444333333222111111111111111111000000000/////////......------------,,,,,,,,,,,,,,,---,,,,,,+++,,,,,,******111===GGG,,,+++++++++++++++++++++************************,,,,,,------------,,,,,,++++++++++++++++++++++++******+++++++++******))))))))))))))))))*********(((((())))))******++++++(((((())))))))))))(((((())))))))))))))))))))))))+++*********+++***)))'''))))))***+++++++++++++++((((((((((((((()))))))))((((((((((((((((((((((((((((((((((((((((((((((((***))))))))))))))))))*********))))))))))))******+++)))''''''((()))((('''***)))(((''''''((()))*********))))))))))))******(((((((((((())))))((('''''''''((((((((('''''''''))))))))))))))))))))))))(((((()))))))))*********)))))))))))))))******+++******))))))))))))******))))))(((((((((((())))))(((((((((((()))***++++++(((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((())))))))))))(((((((((((((((((())))))))))))((((((++++++***)))((('''&&&&&&((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&''''''((()))))))))((()))))))))************))))))))))))))))))))))))(((((())))))))))))(((((((((((())))))))))))(((((())))))(((((()))***++++++))))))))))))(((((((((((((((((((((((((((((((((((()))))))))(((((()))))))))((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((((((((((('''''''''''''''((((((((((((((('''''''''))))))))))))))))))))))))(((((()))))))))))))))***((((((''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''((((((((((((%%%&&&&&&'''((()))******))))))((((((''''''&&&&&&((((((((((((((('''''''''&&&''')))))))))((())))))((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''((())))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))))))))(((((((((((((((((()))))))))************,,,,,,++++++++++++,,,,,,++++++,,,------...//////222111000000///...------///............///000000444333111000/////////000................................................------------------------555555444333333222111111111111111111000000000///...............---------+++,,,,,,,,,++++++,,,,,,,,,---,,,******111===GGG++++++++++++++++++++++++************************++++++,,,,,,,,,,,,++++++))))))************)))))))))******+++++++++******(((((())))))************(((((())))))******++++++(((((())))))))))))((((((***************************)))((()))++++++)))'''))))))***+++++++++++++++(((((((((((())))))******(((((((((((((((((((((((()))))))))))))))))))))))))))))))))******)))))))))******))))))))))))******)))((('''''')))******)))***)))(((''''''((()))*********))))))))))))******((()))******))))))))))))(((((('''''''''(((((((((************************'''''''''((((((((()))))))))))))))))))))******+++******))))))))))))******))))))(((((((((((())))))))))))((())))))***+++,,,((((((((((((((((((((((((************************(((((((((((((((((((((((())))))))))))(((((((((((((((((())))))))))))((((((+++******)))((('''''''''(((((((((((((((((((((((())))))))))))))))))))))))&&&&&&''''''((()))))))))((()))))))))************))))))))))))************(((((())))))))))))(((((((((((())))))))))))(((((()))))))))))))))*********(((((((((((())))))))))))((((((((((((((((((((((((((((((((())))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''((((((((((((((())))))))))))))))))))))))'''''''''(((((()))))))))(((((((((''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''((((((((((((&&&&&&&&&'''((())))))***))))))((((((''''''&&&&&&'''''''''((((((((((((((((((***+++***(((''''''(((((((((((((((((((((((((((((((((((((((((((((((((((&&&'''''''''(((((())))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))(((((((((((((((((((((((('''''''''''''''((())))))(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((()))))))))))))))))))))))))))(((((((((((()))))))))***************++++++++++++++++++************++++++,,,,,,---000000//////...------,,,...............///000000222222111000000/////////................................................------------------------444444444333333222222222111111111111000000000000......//////......---,,,+++,,,------++++++,,,---))),,,......------000444*********+++++++++++++++***************************++++++,,,,,,++++++***(((((())))))))))))(((((())))))***++++++++++++***((((((((()))******++++++))))))))))))************(((((())))))))))))((((((************************)))'''&&&(((,,,---+++(((((()))******++++++******'''(((((())))))******+++))))))))))))))))))))))))************************))))))************))))))******))))))))))))******)))'''&&&''')))+++++++++******((((((((((((************))))))))))))******(((***++++++)))))))))***)))(((((((((((())))))***************************''''''''''''(((((((((((()))))))))))))))******+++******))))))))))))*********))))))(((((())))))*********)))))))))***++++++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((('''(((((()))))))))))))))))))))((((((((((((''''''))))))))))))))))))))))))))))))))))))))))))))))))&&&&&&''''''((()))))))))))))))))))))************)))))))))************+++(((((())))))))))))(((((((((((())))))))))))(((((())))))))))))******))))))(((((((((((())))))))))))))))))))))))))))))))))))'''(((((())))))(((((('''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''(((((((((((()))))))))'''''''''(((((((((((((((((((((((((((((((((((((((&&&''''''(((((())))))))))))((((((''''''(((((()))(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))''''''((((((((((((''''''(((((((((((((((((((((((('''(((((())))))(((((('''''''''''''''((((((((((((''''''''''''(((((((((((((((((((((((((((''''''''''''''''''((((((((((((((((((+++---+++(((&&&'''(((((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&''''''((()))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))(((((((((((((((((((((((('''''''''''''''((())))))(((((((((((())))))))))))))))))))))))))))))))))))(((((((((((())))))))))))'''((())))))))))))(((((())))))))))))************)))******++++++******))))))))))))******+++++++++.........------------,,,---------------...//////000000000000//////..............................------------------------,,,,,,,,,,,,,,,,,,,,,,,,333333333333333333333333111111111111000000000000---.../////////...---,,,+++---......,,,+++,,,...+++,,,---...---+++)))((()))*********++++++++++++************************+++,,,,,,,,,,,,,,,,,,+++((()))************)))((())))))***+++++++++++++++'''(((((()))******++++++*********)))))))))))))))(((((())))))))))))((((((************************)))'''&&&)))...000...+++'''((())))))******))))))'''(((((()))******++++++************************))))))))))))))))))))))))((()))***++++++***)))(((******))))))))))))******+++)))(((((()))******)))*********))))))***************))))))))))))******&&&)))+++***((('''(((******))))))((()))***+++,,,************************'''(((((((((((())))))))))))))))))))))))******+++******))))))))))))************))))))))))))******++++++******)))*********))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((''''''((()))))))))))))))&&&''''''''''''((((((((())))))))))))))))))))))))))))))))))))))))))))))))&&&&&&''''''((()))))))))))))))))))))************))))))*********+++++++++(((((())))))))))))(((((((((((())))))))))))(((((())))))*********)))))))))'''((((((((()))))))))***))))))))))))))))))))))))''''''((())))))(((''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''((((((((())))))))))))''''''''''''((((((((()))''''''''''''''''''''''''''''''((())))))***++++++))))))(((((((((((())))))(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))''''''((((((((((((''''''(((((((((((((((((((((((('''((()))******)))((('''''''''''''''(((((((((((((((((((((((('''''''''''''''''''''(((((((((((((((''''''''''''((((((((()))&&&***---,,,(((&&&(((+++((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&''''''((())))))***(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))(((((((((((((((((((((((('''''''''''''''((())))))'''((((((((()))))))))***))))))))))))))))))))))))(((((((((((())))))))))))&&&'''((()))******))))))))))))))))))************))))))***++++++***))))))***************++++++++++++++++++,,,,,,,,,,,,---,,,,,,,,,,,,,,,---......///////////////......---........................,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++333333333333333333333444111111111111000000000000---.../////////...,,,,,,+++---///...,,,+++---///000...+++***+++,,,,,,+++))))))******++++++++++++************************,,,------......------,,,)))***+++,,,,,,+++***)))((()))***+++++++++++++++'''(((((()))***+++++++++++++++******))))))(((((((((((())))))))))))((((((***************************'''&&&***000222000---''''''((()))))))))))))))'''(((((()))***+++++++++************************((((((((((((((((((((((((((()))***++++++***)))(((******))))))))))))******---+++)))((()))))))))'''*********++++++***************))))))))))))******%%%(((******'''&&&''')))+++***)))))))))***,,,---************************))))))))))))************)))))))))))))))******+++******))))))))))))************))))))))))))******,,,,,,+++***)))))))))***))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))((((((((((((''''''((()))))))))))))))%%%%%%&&&&&&'''((((((((())))))))))))))))))))))))))))))))))))))))))))))))&&&&&&''''''((()))))))))))))))))))))************))))))******++++++++++++(((((())))))))))))(((((((((((())))))))))))(((((())))))************)))((('''((((((((())))))******))))))))))))))))))))))))&&&'''((())))))((('''&&&(((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((('''((((((((())))))******&&&'''''''''(((((())))))''''''''''''''''''''''''((())))))***++++++,,,,,,))))))(((((((((((())))))(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))''''''((((((((((((''''''(((((((((((((((((((((((('''((()))******)))((('''''''''''''''((((((((())))))))))))(((''''''&&&&&&&&&'''''''''(((((())))))&&&'''''''''(((((())))))$$$(((,,,,,,((('''***---(((((((((((((((((((((((())))))))))))))))))))))))&&&&&&&&&'''((())))))***(((((((((((((((((((((((())))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))(((((((((((((((((((((((('''''''''''''''((())))))'''((((((((())))))******))))))))))))))))))))))))(((((((((((())))))))))))%%%&&&((()))*********)))))))))))))))************((()))***++++++***)))(((++++++++++++++++++,,,,,,)))******++++++,,,,,,---,,,++++++++++++,,,---------...............---,,,........................,,,,,,,,,,,,,,,,,,,,,,,,************************333333444444333333222111000000000000000//////.........---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,+++++++++******************++++++++++++++++++++++++***+++,,,---,,,***(((&&&******************************++++++++++++******)))))))))))))))))))))))))))))))))))))))******+++))))))))))))))))))))))))'''((()))++++++***))))))+++)))(((+++000111...***(((((())))))))))))(((((()))************++++++++++++++++++***)))(((((('''))))))))))))))))))))))))'''((())))))((()))+++---++++++***)))((((((((()))((('''%%%&&&((())))))(((************************+++*********))))))(((((())))))))))))))))))))))))''''''((()))))))))))))))+++***(((***,,,---***((())))))************))))))***(((((()))***+++***)))''')))+++------+++)))'''******)))))))))))))))***))))))))))))))))))))))))************))))))))))))***)))(((''''''((()))*********))))))((((((((('''(((((((((((())))))))))))(((((((((((())))))))))))))))))))))))))))))))))))+++*********))))))(((((())))))))))))))))))))))))(((((((((((((((''''''''')))((('''(((***++++++***))))))))))))))))))))))))))))))***++++++++++++***))))))))))))))))))))))))***************)))(((((((((((()))***************''''''(((((())))))******))))))))))))((((((((((((******))))))((((((''''''))))))(((((((((((())))))))))))))))))))))))))))))'''''''''''')))+++---...'''''''''''''''((())))))((((((((((((((()))******))))))))))))))))))))))))((((((((((((((()))******))))))))))))))))))))))))))))))))))))))))))))))))''')))***,,,,,,***)))'''(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))''''''''''''((((((((()))&&&&&&&&&(((***,,,+++***&&&&&&&&&'''''')))************))))))((((((''''''((((((((((((((()))******))))))(((((((((((()))))),,,+++***(((''''''''''''******))))))((((((''''''******))))))((((((''''''((((((''''''''''''(((((())))))))))))******************)))))))))))))))***))))))))))))))))))))))))))))))))))))************)))************+++++++++*********++++++,,,,,,,,,)))************+++++++++************************------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******++++++++++++******************************333333444444333333222111000000000000000//////............---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,+++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,,,,***((('''******************************++++++++++++******)))))))))))))))))))))))))))))))))))))))******+++))))))))))))))))))))))))(((((()))***************+++)))(((+++///000---)))************************))))))*********+++++++++++++++******)))(((((('''(((((((((((((((((((((((('''((())))))((()))+++---******))))))((())))))))))))((('''(((***+++***)))************************************)))))))))((())))))))))))))))))))))))''''''((()))))))))))))))+++))))))***,,,,,,***((())))))************))))))***(((((()))***+++***)))((()))+++,,,,,,+++)))(((******))))))))))))******))))))))))))))))))))))))************))))))))))))***)))(((''''''((()))***)))))))))(((((((((''''''((()))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))************)))))))))((())))))))))))))))))))))))(((((((((((((((((((((((()))(((((((((***+++***)))))))))))))))))))))))))))(((((()))************)))))))))))))))))))))))))))***************)))(((((())))))***+++++++++++++++'''((((((((()))))))))***))))))))))))((((((((((((***)))))))))((((((((('''''''''&&&&&&&&&&&&''''''))))))))))))))))))))))))(((((('''((()))***,,,---((((((((((((((()))***+++((((((((((((((()))******))))))))))))))))))))))))((((((((((((((()))******))))))))))))))))))))))))))))))))))))))))))))))))&&&'''((())))))((('''&&&(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))''''''((((((((((((((((((***)))'''''')))+++++++++'''&&&&&&'''''')))*********)))))))))((((((((('''((((((((((((((()))******))))))(((((((((((())))))+++***)))((((((''''''((())))))))))))((((((((((((***)))))))))(((((((((''')))((((((''''''(((((()))))))))))))))******************))))))))))))******))))))))))))))))))))))))))))))))))))************)))************+++++++++*********++++++,,,,,,,,,)))************+++++++++************************------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******++++++++++++******************************333333444444333333222111000000111111000000///............------------,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,------------------------***+++,,,,,,+++***((('''******************************++++++++++++******)))))))))))))))))))))))))))))))))))))))******+++)))))))))))))))))))))))))))))))))))))))******++++++)))(((***------+++(((---,,,+++******+++,,,---)))))))))*********++++++++++++******)))((((((((('''''''''''''''''''''''''''((())))))((((((***,,,))))))((((((((()))*********)))***+++------+++)))************************************))))))))))))))))))))))))))))))))))))''''''((()))))))))))))))***))))))***++++++***((())))))************))))))***(((((()))***+++***)))***************************)))))))))))))))******))))))))))))))))))))))))************))))))))))))))))))(((((((((((())))))((((((((((((''''''''''''))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))************))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((***)))((()))***+++***)))))))))))))))))))))))))))''''''((()))))))))))))))))))))))))))))))))))))))***************)))(((((()))***++++++,,,,,,++++++(((((((((((())))))))))))))))))))))))(((((((((((())))))))))))(((((((((((((((''''''&&&&&&''''''((()))))))))))))))))))))))))))))))))((()))***++++++******)))))))))***++++++((((((((((((((()))******))))))))))))))))))))))))((((((((((((((()))******))))))))))))))))))))))))))))))))))))))))))))))))&&&'''((())))))((('''&&&(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((---***''''''(((***++++++''''''''''''((()))******))))))))))))((((((((((((((((((((((((((()))******))))))(((((((((((())))))))))))(((((((((((())))))(((((((((((())))))))))))))))))))))))((((((((((((***))))))(((((())))))***))))))))))))***************)))))))))))))))******))))))))))))))))))))))))))))))))))))************)))************+++++++++*********+++++++++++++++)))************+++++++++++++++++++++++++++++++++------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******++++++++++++******************************333333444444333333222111000111111111111000//////............------------------------------------+++,,,,,,------,,,,,,++++++++++++,,,,,,,,,,,,,,,------------------------***++++++++++++***)))(((******************************++++++++++++******)))))))))))))))))))))))))))))))))))))))******+++))))))))))))))))))))))))***)))((((((((()))+++,,,+++)))((()))++++++)))'''---,,,***))))))***,,,---))))))))))))************************))))))(((((((((((((((((((((((((((((('''((()))(((((((((***+++((((((((((((((()))***+++))))))***,,,......+++)))*********************************)))))))))))))))((((((((((((((((((((((((''''''((())))))))))))))))))))))))*********))))))))))))************))))))***(((((((((***+++***)))+++***)))(((((()))***+++))))))))))))))))))***+++))))))))))))))))))))))))************)))))))))((())))))(((((((((((())))))((((((''''''''''''''''''*********)))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((*********)))))))))))))))((((((((((((((((((((((((((((((((((((((()))))))))***)))((()))***+++***)))))))))))))))))))))))))))'''((())))))******))))))((((((((((((((((((((((((***************)))(((((())))))***++++++++++++***(((((((((((())))))))))))))))))))))))(((((((((((())))))))))))((((((((((((******))))))))))))******))))))))))))))))))))))))******))))))))))))))))))******)))))))))******+++((((((((((((((())))))***((((((((((((((((((((((((((((((((((((((())))))***(((((((((((((((((((((((((((((((((((((((((((((((())))))************))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))(((((((((((((((***((('''''')))******)))((((((''''''((()))******))))))))))))((((((((((((((((((((((((((())))))***))))))(((((((((((())))))((((((((((((((()))******''''''(((((())))))******))))))))))))((((((((((((******))))))))))))******((()))))))))************))))))))))))))))))***+++))))))))))))))))))))))))((()))))))))************))))))*********+++++++++***************+++++++++))))))*********+++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++******++++++++++++******************************333333444444333333222111111111111111111000000/////////.........---------------------------------+++,,,,,,------,,,,,,+++)))*********+++++++++,,,++++++++++++++++++++++++***+++++++++*********)))******************************++++++++++++******)))))))))))))))))))))))))))))))))))))))******+++))))))))))))))))))))))))***)))((((((((()))+++,,,+++)))(((((()))))))))(((,,,***)))'''''')))***,,,(((((()))))))))******************)))))))))))))))))))))))))))))))))))))))'''((()))((('''''')))+++((('''''''''((()))******(((((()))+++---,,,***'''))))))))))))))))))))))))))))))))))))))))))******((((((((((((((((((((((((''''''((()))))))))))))))((()))*********)))))))))))))))************))))))***(((((((((***+++***)))+++***(((''''''(((***+++))))))(((((()))***++++++))))))))))))))))))))))))************)))))))))((((((((())))))))))))((((((''''''((((((((((((((((((+++*********)))))))))((((((((((((((())))))))))))(((((((((((((((((((((((())))))))))))))))))******(((((((((((((((((((((((((((((((((((())))))******+++)))((()))******)))((())))))))))))))))))))))))((()))******++++++******((((((((((((((((((((((((***************)))(((((('''(((((()))))))))))))))))))))))))))(((((((((((())))))))))))(((((((((((((((((((((((())))))))))))******))))))))))))******))))))))))))))))))))))))************)))))))))(((***))))))(((((()))))))))((((((((((((((())))))***((((((((((((((((((((((((((((((((((((((())))))***(((((((((((((((((((((((((((((((((((((((((((((((())))))************))))))(((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))((((((&&&&&&&&&(((***+++)))((()))(((((((((((())))))***(((((((((((())))))))))))((((((((((((((())))))***))))))(((((((((((())))))(((''''''(((((()))***+++''''''(((((())))))******(((((((((((())))))))))))******))))))))))))******((()))))))))************))))))(((((()))***++++++))))))))))))))))))))))))((()))))))))************))))))*********+++++++++************************))))))*********+++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++******++++++++++++******************************333333444444333333222111111111222222111111000////////////.........------------------------------+++,,,,,,------,,,,,,+++)))))))))******++++++,,,+++++++++++++++++++++++++++***************************************************++++++++++++******)))))))))))))))))))))))))))))))))))))))******+++)))))))))))))))))))))))))))))))))))))))******+++***)))))))))))))))*********)))(((''''''((()))***((((((((()))))))))************))))))))))))))))))************************'''((()))(((''''''(((***(((((('''''''''((())))))((('''((()))++++++)))'''))))))))))))))))))))))))))))))))))))************))))))))))))))))))))))))''''''((()))))))))))))))''')))******)))(((((()))))))))************))))))***(((((()))***+++***)))***)))(((((((((((()))***(((((((((((()))***+++,,,))))))))))))))))))))))))************))))))))))))(((((())))))))))))(((((((((((((((((())))))))))))+++++++++******))))))((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))************))))))))))))))))))))))))'''(((((())))))******++++++***))))))******)))((())))))))))))))))))))))))))))))***+++++++++++++++))))))))))))))))))))))))***************)))((((((&&&'''(((((())))))(((((())))))))))))(((((((((((())))))))))))(((((((((((((((((((((((()))))))))))))))((((((''''''(((((()))))))))))))))))))))))))))))))))*********))))))(((******)))((((((((())))))((((((((((((((()))******))))))))))))))))))))))))((((((((((((((()))******))))))))))))))))))))))))))))))))))))))))))))))))((((((''''''''''''(((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))((((((((())))))*********(((''''''(((***+++)))((()))))))))(((((())))))***(((((((((((())))))))))))((((((((((((((()))******))))))(((((((((((())))))((((((((((((((()))******(((((((((((())))))))))))(((((((((((())))))))))))***))))))(((((())))))***))))))))))))************(((((((((((()))***+++,,,))))))))))))))))))))))))))))))))))))************)))************+++++++++***************))))))))))))************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++******++++++++++++******************************333333444444333333222111111222222222222111000000////////////....................................+++,,,,,,------,,,,,,+++))))))***++++++,,,------,,,,,,,,,,,,,,,,,,,,,,,,+++***************++++++******************************++++++++++++******)))))))))))))))))))))))))))))))))))))))******+++))))))))))))))))))))))))(((((()))***************)))))))))))))))***+++---(((((((((((((((((((((((((((((((((((()))))))))***)))))))))))))))))))))***))))))))))))))))))))))))(((((()))(((&&&&&&((()))))))))((('''''''''(((((()))((('''(((*********)))))))))))))))))))))))))))((()))))))))************))))))))))))))))))))))))''''''((()))))))))))))))&&&)))+++***((('''(((***))))))************))))))***(((((()))***+++***)))))))))(((((((((((())))))(((((((((((()))***+++,,,))))))))))))))))))))))))************))))))))))))'''((()))******)))((('''))))))))))))******++++++,,,,,,+++******))))))((((((((((((((())))))))))))))))))))))))))))))))))))((()))))))))************))))))))))))))))))))))))'''(((((()))******+++++++++***))))))******)))'''))))))))))))))))))))))))((())))))***************))))))))))))))))))))))))***************)))((((((''''''((()))))))))))))))***)))))))))((((((((('''))))))))))))(((((((((((('''((((((((()))))))))***))))))(((((((((((())))))))))))))))))))))))))))))((()))******+++***)))))),,,+++***))))))))))))***((((((((((((((()))******))))))))))))))))))))))))((((((((((((((()))******))))))))))))))))))))))))))))))))))))))))))))))))((((((''''''''''''(((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))''''''((()))***++++++,,,000---)))'''((()))************)))))))))))))))***'''((((((((()))))))))***((((((((((((((()))******))))))(((((((((((()))))))))((((((((((((((()))***))))))))))))(((((((((((('''((((((((()))))))))***)))((((((''''''(((((()))))))))))))))************(((((((((((()))***+++,,,))))))))))))))))))))))))))))))))))))************)))************++++++++++++*********)))))))))((()))************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++******************************************************++++++++++++******************************333333444444444333222222111222222222222111000000000/////////....................................+++,,,,,,------,,,,,,+++******+++,,,,,,---......------------------------+++***************++++++******************************++++++++++++******)))))))))))))))))))))))))))))))))))))))******+++))))))))))))))))))))))))'''(((***+++++++++***)))))))))***))))))***---///(((((())))))))))))(((((((((((((((((()))))))))))))))))))))))))))*********))))))))))))))))))))))))(((((()))(((&&&&&&''')))***)))((('''''''''''''''***)))'''((()))++++++***))))))))))))))))))))))))(((((())))))*********+++))))))))))))))))))))))))'''(((((()))))))))))))))&&&)))+++***((('''(((***))))))************))))))***(((((()))***+++***)))(((((())))))))))))(((((((((((((((((()))***+++,,,))))))))))))))))))))))))************))))))))))))'''((()))******)))((('''))))))******+++++++++,,,,,,,,,++++++***))))))((((((((((((((())))))))))))))))))))))))))))))))))))(((((())))))*********+++))))))))))))))))))))))))'''(((((()))***+++++++++,,,***))))))******)))'''))))))))))))))))))))))))'''(((((()))))))))))))))))))))))))))))))))))))))***************)))(((((((((((()))*********************))))))((((((((('''))))))))))))(((((((((((('''((((((((())))))******++++++************++++++))))))))))))))))))))))))'''((()))+++++++++***)))---,,,,,,+++*********+++((((((((((((((()))******))))))))))))))))))))))))((((((((((((((()))******))))))))))))))))))))))))))))))))))))))))))))))))******))))))))))))******(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))''''''''''''((((((((()))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))&&&&&&''')))***+++,,,---999333+++&&&&&&(((***,,,******)))))))))))))))***'''((((((((())))))******((((((((((((((()))******))))))(((((((((((())))))))))))(((((((((((())))))******))))))(((((('''''''''((((((((())))))******((((((''''''''''''(((((())))))))))))************(((((((((((()))***+++,,,))))))))))))))))))))))))))))))))))))************)))************++++++++++++*********))))))(((((()))************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++******************************************************++++++++++++******************************444333333222222333333444222222222111111111111000///......---------......///...------------,,,+++,,,,,,,,,,,,,,,,,,,,,,,,------------------------++++++++++++++++++++++++))))))***+++,,,,,,------)))))))))))))))))))))))),,,,,,***)))))))))***+++)))************++++++++++++*********))))))((((((+++******)))(((''''''&&&(((((())))))))))))(((((())))))************))))))))))))))))))))))))))))))))))))************))))))))))))(((((((((((()))))),,,,,,++++++***)))(((((())))))))))))))))))))))))))))))))))))))))))))))))'''(((((()))))))))))))))((()))***++++++***)))(((*********)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((***+++,,,,,,+++***((())))))))))))************+++******)))(((''''''&&&(((((()))***++++++,,,,,,,,,,,,,,,++++++*********))))))))))))))))))))))))******************************))))))))))))******))))))))))))))))))))))))(((((()))***************************))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))************************))))))))))))))))))))))))''')))++++++)))'''''''''))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))''''''''''''((((((((()))))))))************))))))))))))))))))************))))))))))))))))))))))))******))))))((((((''''''***((('''((()))***((('''***)))((((((((()))+++,,,************************(((((((((((()))***+++,,,******))))))))))))************))))))))))))************))))))))))))******+++*********))))))((((((******)))((((((((((((((())))))************))))))))))))))))))))))))))))))&&&'''''''''(((((())))))(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((())))))))))))((((((((((((((((((((((((---)))''',,,444666111***:::555///)))&&&''')))+++------+++*********+++,,,))))))((('''''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((('''''''''&&&))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((((((((((((+++(((&&&&&&))),,,//////******))))))******+++,,,************************)))))))))))))))***++++++***++++++***))))))***,,,***+++,,,,,,******+++,,,---------,,,,,,+++++++++++++++++++++++++++++++++***++++++,,,,,,------...************************++++++,,,------.../////////,,,)))((()))*********444333333333333333333444222222222222111111111111000///...---------------------,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,------------------------++++++++++++++++++++++++)))******+++,,,,,,------************************,,,,,,***)))))))))***+++)))************+++++++++************)))))))))(((+++******)))((((((''''''(((((())))))))))))(((((())))))************))))))))))))))))))))))))))))))))))))************))))))))))))(((((((((((()))))),,,,,,++++++***))))))((())))))))))))))))))))))))))))))))))))))))))))))))'''(((((()))))))))))))))))))))************))))))************))))))))))))************************))))))))))))))))))))))))))))))))))))))))))))))))((()))+++,,,,,,+++)))((())))))))))))************+++******)))((((((''''''((())))))***++++++,,,,,,+++++++++******)))))))))))))))))))))))))))))))))))))))))))))))))))))))))******))))))))))))******))))))))))))))))))))))))(((((()))***************************))))))))))))***************)))))))))(((((((((((()))))))))***************************))))))))))))))))))))))))''')))++++++)))''''''((()))))))))))))))))))))((())))))))))))))))))))))))))))))))))))))))))))))))'''''''''((((((((())))))))))))************))))))))))))))))))************))))))))))))))))))))))))******))))))((((((((((((+++,,,---,,,)))'''((()))***))))))((()))***+++,,,************************(((((((((((()))***+++,,,******))))))))))))************))))))))))))************))))))))))))******************)))))))))(((******)))((((((((((((((())))))************))))))))))))))))))))))))))))))''''''((((((((()))))))))(((((((((((())))))))))))))))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((+++((('''+++111222...)))000---***'''''')))---///,,,+++***)))((())))))***))))))((('''''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((('''''''''))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((((((((((((+++)))''''''***,,,------******))))))******+++,,,***************************)))))))))))))))***++++++++++++***)))***+++,,,***+++,,,,,,******+++,,,---------,,,,,,+++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,************************+++++++++,,,------.........,,,)))((()))***+++***333333333333333333333333333222222222111111111111111000///...------,,,,,,......---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,*********++++++,,,,,,---************************,,,,,,+++************+++)))************+++++++++************))))))))))))*********))))))(((((('''((())))))******))))))((())))))************))))))))))))))))))))))))))))))))))))************))))))***))))))(((((())))))***,,,,,,++++++***)))))))))))))))))))))))))))))))))))))))))))))))))))))))))'''((())))))******))))))******))))))))))))******************************************************))))))))))))))))))))))))))))))))))))))))))))))))((((((************(((((())))))))))))*********************))))))((((((''')))))))))***++++++,,,,,,*********)))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((******))))))))))))******))))))))))))))))))))))))(((((()))***************************))))))))))))***************+++++++++((((((((()))))))))******************************))))))))))))))))))))))))((()))+++***)))((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))''''''((((((((()))))))))))))))************))))))))))))))))))************))))))))))))))))))))))))***))))))))))))(((((((((+++///222///)))%%%(((,,,***))))))))))))***++++++************************(((((((((((()))***+++,,,******))))))))))))************))))))))))))************))))))))))))******************))))))))))))******)))((((((((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))*********(((((((((((())))))))))))************************(((((((((((())))))))))))(((((((((((((((((((((((()))((((((***,,,,,,***((()))((('''&&&(((***---...***)))((('''''''''(((((())))))((('''''''''(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))***)))((()))+++,,,+++*********))))))******+++,,,************************+++******)))))))))******++++++************++++++***+++,,,,,,******+++,,,------,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,......---,,,,,,+++******++++++++++++++++++++++++******++++++,,,,,,------...,,,))))))***++++++***333444444444444444444333333333222222222111111111222111000...---,,,,,,,,,//////000///...---......------------------------------------------------,,,,,,,,,,,,,,,,,,,,,,,,*********++++++,,,,,,,,,************************,,,,,,++++++************))))))*********+++++++++*********)))))))))))))))*********)))))))))(((((()))))))))******))))))))))))******++++++******)))))))))))))))))))))))))))))))))************))))))***))))))))))))))))))***+++++++++*********))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((()))************)))+++***)))(((((()))***+++)))***************++++++************************))))))))))))))))))))))))))))))))))))))))))))))))'''((())))))))))))((('''((()))))))))*********************)))))))))(((((())))))*********+++++++++******************))))))))))))))))))))))))))))))))))))))))))))))))))))))******))))))))))))******))))))))))))))))))))))))(((((()))***************************)))))))))((())))))***************+++(((((()))))))))*********************************))))))))))))))))))))))))(((***+++***)))((()))***)))))))))))))))*********))))))))))))))))))))))))))))))))))))))))))))))))'''(((((((((((()))))))))))))))************))))))((()))))))))************))))))))))))))))))))))))))))))))))))))))))))))))+++...000...***((())),,,)))))))))*********++++++************************))))))(((((()))***+++++++++******))))))******+++******))))))))))))************))))))))))))***************)))))))))))))))******))))))((())))))*********))))))))))))******((((((((((((((((((((((((************************(((((((((((())))))))))))************************(((((((((((())))))))))))((((((((((((((((((((((((((()))******)))(((((())))))))))))((())))))))))))))))))((((((''''''''''''))))))((((((((((((((()))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************************((((((((((((((((((((((((*********************************+++,,,,,,***(((******))))))******+++,,,************************++++++******))))))******,,,+++******++++++++++++***+++,,,,,,******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++++++++++++++++++++++++++++++++*********++++++,,,,,,,,,---+++))))))+++,,,++++++333444444555555444444333333333333222222222222111333222000///...---,,,,,,---...///...,,,+++,,,...------------------------------------------------,,,,,,,,,,,,,,,,,,,,,,,,***+++++++++++++++,,,,,,************************,,,,,,,,,,,,++++++******))))))*********+++++++++))))))))))))))))))******************))))))))))))))))))************))))))******++++++++++++******))))))))))))))))))))))))))))))************))))))******))))))))))))******+++++++++***************))))))))))))))))))))))))))))))))))))))))))))))))((())))))***************+++***)))(((((()))***+++))))))******+++++++++,,,************************))))))))))))))))))))))))************************(((((())))))))))))((((((((()))))))))************************))))))))))))***************+++++++++++++++++++++++++++++++++******************************************************))))))))))))******))))))))))))))))))))))))(((((()))***************************)))))))))(((((((((((()))))))))******))))))))))))************************************************************)))*********)))(((***+++((()))))))))*********+++))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((()))))))))***))))))************))))))((()))))))))************))))))))))))))))))))))))))))))))))))************+++*********++++++++++++)))*********++++++++++++************************))))))))))))))))))***+++++++++************++++++******))))))))))))************))))))))))))******))))))))))))))))))************))))))))))))************)))(((((()))******((((((((((((((((((((((((++++++++++++************(((((((((((())))))))))))************************(((((((((((())))))))))))))))))))))))))))))))))))(((***,,,+++)))((((((*********++++++***))))))(((*********)))))))))(((((())))))((((((((())))))***(((((((((((((((((((((((()))))))))))))))))))))))))))*********************************************++++++++++++++++++++++++((((((((((((((((((((((((++++++++++++++++++++++++*********+++---,,,)))'''******))))))******+++,,,************************++++++***************+++---+++)))***,,,---,,,+++***+++,,,,,,******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,---------++++++++++++++++++++++++******++++++++++++,,,,,,,,,+++******,,,,,,,,,+++333444555666666555444333333333333333222222222222222111000///......------***,,,...,,,)))(((***,,,------------------------------------------------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,---,,,++++++***)))************+++++++++))))))))))))************************************)))******++++++******)))******++++++++++++******))))))))))))))))))))))))))))))************))))))+++******))))))******+++************************))))))))))))))))))))))))))))))))))))))))))))))))((()))******++++++************))))))))))))******))))))******+++,,,,,,,,,++++++++++++++++++++++++))))))))))))))))))))))))************************))))))))))))))))))))))))))))))))))))************************************************************+++++++++++++++,,,,,,,,,******************************************************))))))))))))******))))))))))))))))))))))))(((((()))***************************))))))))))))'''''''''((())))))******)))))))))*********++++++************************************************)))*********))))))+++,,,((())))))******+++++++++))))))))))))))))))))))))))))))))))))))))))))))))((((((((()))))))))******))))))************))))))))))))))))))************)))))))))))))))))))))))))))))))))************+++***((('''(((+++---+++***)))***++++++,,,,,,++++++***************************)))))))))))))))******++++++************++++++******))))))))))))************))))))))))))******))))))))))))******************)))))))))***+++++++++***)))(((((()))***+++))))))))))))))))))))))))+++++++++***************(((((((((((())))))))))))************************(((((((((((())))))))))))))))))))))))))))))))))))******+++***)))))))))+++((()))***+++,,,,,,,,,+++******+++++++++***)))((())))))((((((((()))******))))))))))))))))))))))))))))))))))))))))))))))))************++++++++++++************************************************))))))))))))))))))))))))*********************************+++,,,,,,***'''******))))))******+++,,,***************************************+++,,,,,,...+++)))***,,,...,,,******+++,,,,,,******+++,,,++++++,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,******+++,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,+++***+++------,,,+++333444555666666555444333444444333333333222222222111111000///......//////***---///...***(((***---........................------------------------------------------------++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,---------,,,+++***)))************+++++++++((()))))))))************************************)))******++++++******)))***++++++,,,,,,++++++***))))))))))))))))))))))))))))))************))))))+++******))))))******+++************************))))))))))))))))))))))))))))))))))))))))))))))))))))))***++++++++++++***))))))************))))))))))))***++++++,,,------++++++++++++++++++++++++))))))))))))))))))))))))*********************************))))))*********))))))))))))************************************************************)))*********++++++++++++******************************************************))))))))))))******))))))))))))))))))))))))(((((()))***************************))))))))))))'''(((((()))******++++++))))))*********+++++++++************************************************)))******)))((()))+++---((())))))******+++,,,,,,))))))))))))))))))))))))))))))))))))))))))))))))(((((()))))))))*********))))))************))))))))))))))))))************))))))))))))))))))))))))))))))*********+++++++++))))))******))))))***+++)))***+++,,,,,,,,,++++++******************************))))))))))))******,,,++++++******++++++,,,******))))))))))))************))))))))))))******((()))))))))******************))))))******+++,,,+++***)))(((((()))***+++))))))))))))))))))))))))++++++*********)))))))))(((((((((((())))))))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))***))))))))))))*********'''((()))***+++,,,,,,---******+++++++++***)))((())))))(((((()))******+++))))))))))))))))))))))))))))))))))))))))))))))))*********+++++++++,,,,,,************************************************))))))))))))))))))))))))***************************))))))***,,,,,,+++)))******))))))******+++,,,************************)))))))))***+++,,,---...///,,,))))))---///---******+++,,,,,,******+++,,,+++++++++,,,,,,---------------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,++++++***+++---...---+++333444666777777666444333444444444333333333222222111000///////////////000---000333111---+++---111........................------------------------------------------------++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,---...---,,,+++***)))************+++++++++(((((())))))*********+++******************++++++******++++++++++++*********++++++,,,,,,++++++***))))))))))))))))))))))))))))))************))))))++++++************++++++******************++++++))))))))))))))))))))))))))))))))))))))))))))))))))))))***++++++++++++***((()))***++++++***)))((())))))***+++,,,,,,------++++++++++++++++++++++++))))))))))))))))))))))))************************++++++************++++++))))))))))))******************************++++++++++++******************(((((())))))*********+++************************))))))))))))))))))))))))******))))))))))))******))))))))))))))))))))))))(((((()))***************************))))))))))))((())))))***++++++,,,,,,)))************+++++++++************************************************)))******)))((())),,,...((())))))***++++++,,,,,,))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************))))))************))))))))))))))))))************))))))))))))))))))))))))))))))******++++++++++++(((,,,///---(((&&&(((,,,)))***+++,,,---,,,++++++******************************)))))))))))))))***,,,++++++******++++++,,,******))))))))))))************))))))))))))******(((((())))))*********+++******))))))***+++,,,,,,+++***)))'''''')))***+++))))))))))))))))))))))))************))))))(((((((((((((((((())))))))))))(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))***(((&&&''')))******)))))))))))))))*********+++)))***+++++++++***((('''))))))((())))))***++++++))))))))))))))))))))))))))))))))))))))))))))))))*********++++++,,,,,,,,,************************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))***)))((()))+++,,,+++************)))***++++++,,,************************((())))))***+++---...///000,,,((()))---///---******+++,,,,,,******+++,,,+++++++++,,,,,,---------------------------------...------,,,,,,++++++***,,,,,,,,,,,,,,,,,,,,,,,,------------------------+++******,,,......---+++666666555555555555666666555555444333333222111111///.........------------......---------,,,,,,,,,,,,,,,,,,---------......,,,------......------,,,---...///...------...///,,,,,,,,,,,,,,,,,,,,,,,,************************)))))))))***+++++++++,,,''''''''''''((()))***+++)))************+++++++++++++++******************------------------------++++++******************,,,+++******)))*********************************,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++*********++++++************++++++*********))))))))))))(((,,,,,,,,,++++++*********+++*********+++,,,,,,---++++++,,,,,,,,,---------++++++++++++++++++++++++------,,,,,,+++***))))))(((((())))))*********+++++++++******++++++,,,---******+++++++++******)))+++*********))))))((((((+++*********************************************,,,+++)))((((((((()))***...***FFF222)))333 000,,,+++***))))))***+++,,,+++++++++***************,,,,,,++++++***)))))))))***************+++++++++******++++++++++++******+++++++++*********))))))******++++++++++++******************************++++++************++++++))))))))))))))))))))))))******++++++++++++******************************)))************+++++++++))))))))))))))))))))))))))))))))))))))))))))))))************************,,,,,,,,,++++++************++++++,,,,,,++++++***,,,,,,+++***))))))******))))))))))))))))))))))))))))))))))))))))))))))))*********************************)))))))))))))))+++*********))))))((((((************************,,,,,,++++++++++++++++++************************++++++***'''&&&&&&(((***((()))***++++++***)))(((''''''(((((())))))************))))))))))))************)))((('''(((+++---''''''(((((())))))***************)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))***************)))(((((()))))))))))))))))))))))))))************+++++++++************************)))))))))))))))))))))))))))))))))))))))(((((('''(((((((((((()))))))))))))))))))))***++++++,,,,,,(((((()))***+++,,,,,,---*********)))******+++,,,******)))))))))***,,,---++++++******+++---///000222111...,,,+++,,,------,,,,,,,,,,,,,,,,,,,,,,,,............------------///...,,,++++++,,,---...,,,,,,,,,,,,,,,,,,,,,,,,---------------------------------,,,,,,+++++++++------,,,,,,---000222444666666555555555555666666555555444333333222111111////////////.........---.........---------,,,,,,,,,,,,---------.........,,,------......------,,,---...///...------...///,,,,,,,,,,,,,,,,,,,,,,,,************************++++++++++++,,,,,,,,,,,,))))))))))))***+++,,,---************++++++++++++++++++******************,,,,,,,,,,,,,,,,,,------++++++******************,,,++++++***************************************,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++******++++++************++++++++++++*********))))))))),,,,,,,,,+++++++++******++++++******+++,,,,,,---******+++++++++,,,,,,,,,++++++++++++++++++++++++------,,,,,,+++******)))))))))))))))*********++++++************+++,,,,,,******++++++++++++******+++*********))))))))))))((())))))***+++,,,------************************+++***))))))***+++,,,---)))222NNN222%%%444###,,,,,,+++***))))))***+++,,,---,,,,,,,,,++++++******++++++++++++************++++++************************++++++++++++******+++++++++*********))))))******++++++++++++******************************++++++************++++++******************************++++++++++++******************************)))************+++++++++************************************************************************+++++++++******)))))))))***++++++,,,,,,++++++***,,,,,,+++***************************************************************************************************))))))))))))+++*********))))))))))))************************+++************+++---...*********************************(((&&&&&&(((***))))))***++++++***)))(((((((((((()))))))))))))))******))))))))))))******++++++,,,+++***))))))***((((((((()))))))))))))))************************))))))))))))))))))))))))***************************************)))(((((()))))))))))))))))))))))))))************+++++++++************************************************))))))******))))))((('''(((((((((((()))))))))***,,,,,,+++******))))))((()))))))))******++++++,,,***************++++++,,,++++++***))))))***+++,,,,,,++++++***+++,,,---...000///---+++***+++,,,------------------------------------....../////////222111///---,,,,,,---...,,,,,,,,,,,,,,,,,,,,,,,,------------------------------,,,,,,++++++++++++------,,,,,,---///111222666666555555555555666666555444444333333222222111000000000000////////////.........------------,,,,,,------------.........------............---------...///...------...///,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++------------,,,,,,,,,,,,++++++,,,,,,------......************+++++++++,,,******++++++++++++++++++,,,,,,,,,,,,,,,+++++++++******++++++++++++++++++,,,,,,+++***************++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++************++++++,,,,,,,,,+++++++++******,,,,,,,,,,,,+++++++++++++++++++++++++++,,,,,,---************++++++++++++++++++++++++++++++++++++---,,,,,,++++++*********)))))))))*********************))))))******+++,,,******+++++++++++++++******************)))))))))***+++++++++,,,,,,------++++++++++++++++++++++++************+++---...///BBBOOOaaa:::&&&444(((***++++++************++++++......------,,,+++******************++++++++++++,,,+++++++++***)))))))))******++++++++++++******+++++++++*********************++++++++++++******++++++++++++++++++++++++++++++************++++++******************************++++++++++++******************************)))************+++++++++************************************************++++++++++++++++++++++++*********)))))))))))))))***++++++,,,,,,++++++***,,,++++++************+++***************************************************************************************************************)))))))))***************************)))(((((()))+++...///*********************************((('''''')))+++))))))******+++******)))*********)))))))))))))))******))))))))))))******)))***+++,,,,,,+++)))((())))))))))))))))))((((((************************))))))))))))))))))))))))*********************************+++******)))((()))))))))))))))))))))))))))************+++++++++************************************************)))************)))((((((((((((((()))))))))******+++++++++***))))))((((((***************************************+++,,,,,,,,,,,,+++*********++++++,,,,,,++++++++++++,,,------,,,+++******+++,,,---........................,,,,,,---...///000111111444222000...---,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,+++++++++++++++***------,,,+++,,,---...///666666555555555555666666444444444333333222222222111111111000000000000///............------------------------............------............---------...///...---------///------------------------++++++++++++++++++++++++......------,,,,,,++++++,,,,,,------............*********+++++++++,,,,,,******+++++++++++++++,,,,,,,,,++++++++++++************+++++++++++++++,,,,,,,,,+++************+++++++++++++++++++++++++++++++++,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,------,,,,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,---******+++++++++,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,++++++***************************************)))))))))***++++++******++++++,,,,,,++++++************************//////...---+++***))))))++++++++++++++++++++++++*********+++,,,------...QQQUUUYYY666$$$...(((---++++++++++++++++++++++++......---,,,+++******)))))))))***++++++,,,------,,,,,,,,,+++***)))((((((******++++++++++++*********************************++++++,,,,,,++++++***++++++++++++++++++++++++++++++************++++++***************************++++++,,,,,,++++++***************************))))))*********+++++++++************************************************++++++++++++++++++++++++******************))))))***++++++,,,,,,++++++***,,,++++++******+++++++++************************************************************************)))***************++++++************************************************+++***)))((((((***---...************************)))******)))(((''')))+++))))))*********+++******+++++++++******)))))))))+++******))))))******+++((((((((()))***++++++***+++******))))))(((((((((*********+++++++++++++++))))))))))))))))))))))))*********************************++++++******)))))))))))))))))))))))))))))))))*********+++++++++******************************************************++++++******)))((((((((()))))))))*********(((((())))))***++++++,,,++++++++++++************+++************+++,,,,,,------,,,,,,++++++++++++,,,,,,,,,+++++++++++++++,,,++++++++++++,,,---...////////////////////////------......///000111111111111///...------------,,,,,,,,,,,,,,,,,,,,,,,,------------------------++++++++++++++++++++++++------,,,++++++,,,,,,---666666555555555555666666444444333333333333222222222111111111000000000000//////.........------------------.........//////---......//////......------...///...---------///------------------------++++++++++++++++++++++++------,,,,,,++++++******+++,,,---......------,,,***++++++++++++,,,,,,,,,******++++++,,,,,,,,,,,,,,,,,,,,,++++++***************++++++,,,,,,,,,,,,---,,,,,,+++***++++++++++++++++++++++++++++++++++++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,---------,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,+++,,,,,,---,,,,,,,,,------------...++++++++++++++++++++++++,,,,,,+++++++++++++++***+++++++++************************)))***++++++,,,******+++,,,,,,,,,,,,,,,***************+++++++++//////...---+++***))))))++++++++++++++++++++++++++++++++++++++++++******777222444***%%%((('''...+++++++++,,,,,,+++++++++,,,,,,,,,+++***)))))))))))))))***+++,,,------...,,,,,,,,,+++***)))((((((******++++++++++++******************************++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++************++++++************************++++++,,,,,,,,,,,,++++++************************))))))*********+++++++++************************************************++++++++++++++++++++++++++++++++++++++++++++++++***++++++,,,,,,++++++***,,,+++++++++++++++,,,,,,************************************************************************))))))******+++++++++,,,***************+++++++++************************---,,,***(((((()))***+++************************)))*********)))(((***+++***************++++++,,,,,,,,,++++++******))))))++++++************++++++111---)))((()))+++++++++++++++******))))))((((((***+++++++++,,,,,,,,,---******************************************************++++++++++++******************************))))))*********+++++++++************************************************+++++++++++++++******)))))))))))))))************))))))******++++++,,,,,,,,,,,,,,,,,,+++++++++++++++++++++***+++,,,,,,---------------,,,,,,++++++,,,---------,,,,,,,,,+++,,,---------......///000///////////////////////////////////////.........------------------......,,,,,,,,,,,,,,,,,,,,,,,,------------------------++++++++++++++++++++++++---,,,,,,+++++++++++++++666666555555555555666666333333333333333333333333111111111111000000000000/////////.........------------........./////////......////////////......---...///...------...///------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++,,,---......---,,,+++++++++++++++,,,,,,,,,,,,******++++++,,,---------------,,,,,,++++++************++++++,,,---------------,,,+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,,,,------...,,,,,,,,,,,,------------,,,,,,++++++++++++,,,,,,---------,,,,,,,,,++++++,,,,,,,,,,,,------------...------,,,,,,,,,,,,,,,------------............+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*********++++++******++++++,,,---)))***+++,,,------------*********+++++++++++++++***+++++++++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,+++***))))))%%%!!!%%%---000+++)))---++++++,,,,,,,,,,,,+++++++++++++++*********))))))*********+++,,,------...,,,+++++++++***)))))))))******++++++++++++*********************+++++++++++++++,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++************++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++************************)))************+++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++,,,,,,,,,***++++++,,,,,,++++++***,,,++++++++++++,,,,,,---++++++++++++++++++++++++++++++++++++++++++++++++************************))))))******+++,,,,,,,,,*********+++++++++++++++************************---,,,+++***)))(((((((((************************((()))++++++))))))***+++***************+++,,,---,,,,,,,,,+++++++++++++++++++++************++++++;;;555...******++++++*********************))))))+++++++++,,,,,,------...************************++++++++++++++++++++++++)))***++++++,,,+++++++++************************)))************+++++++++************************+++++++++++++++++++++++++++,,,,,,,,,,,,+++******)))))))))*********++++++---------,,,++++++******------------------------+++++++++++++++,,,------------.........---,,,,,,,,,---............------......//////000000000000//////////////////////////////......------------++++++,,,,,,---.........,,,,,,,,,,,,,,,,,,,,,,,,------------------------+++,,,,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,+++666666555555555555666666333333333333333333333333111111000000000/////////////////////........................////////////......////////////......---...///...------...///........................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------+++,,,...//////...,,,++++++++++++,,,,,,,,,------******++++++,,,------.........------,,,+++++++++******++++++,,,------...------,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,******+++,,,,,,---......,,,,,,,,,---------......---,,,,,,++++++,,,,,,---,,,,,,,,,,,,++++++++++++,,,,,,,,,---------............---,,,,,,,,,,,,,,,,,,,,,,,,---------......++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,++++++*********,,,,,,,,,+++,,,,,,---...)))***+++,,,------------*********++++++,,,,,,,,,((())))))***+++,,,------,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,------,,,,,,+++''',,,---111111---...+++++++++,,,------,,,++++++*********+++++++++,,,,,,+++++++++,,,,,,---------++++++************************++++++++++++******))))))*********++++++++++++,,,,,,------,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,++++++************+++++++++++++++++++++++++++++++++,,,,,,------,,,,,,+++************************)))************+++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,)))*********++++++++++++***++++++,,,,,,++++++***+++++++++++++++,,,---...++++++++++++++++++++++++++++++++++++++++++++++++************************))))))***++++++,,,------*********++++++,,,,,,,,,******************************++++++***)))((('''************************((()))++++++******+++,,,******))))))***,,,---...+++++++++,,,,,,,,,,,,,,,,,,++++++******++++++,,,999333---***+++,,,+++(((******************++++++++++++,,,,,,---.........************************++++++++++++++++++++++++)))***++++++,,,,,,,,,+++************************)))************+++++++++************************++++++++++++++++++++++++,,,,,,,,,---,,,++++++***))))))*********+++++++++///......------,,,,,,+++------......//////000000,,,++++++++++++,,,------,,,---...//////...------,,,---...000000000////////////000000000000000000........................,,,,,,,,,,,,---------------------...............,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,---------.........,,,,,,---------------,,,666666555555555555666666333333333333333333333333000000000000////////////000/////////......................../////////000......////////////......---...///...------...///........................,,,,,,,,,,,,,,,,,,,,,,,,,,,------....../////////,,,---///000000...---+++++++++,,,,,,,,,---------******+++,,,,,,---......//////...------,,,++++++******+++,,,,,,---.........---,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******+++,,,,,,---......,,,,,,,,,------.........---,,,,,,++++++,,,,,,---,,,,,,,,,+++++++++******,,,,,,,,,------.........///...---,,,,,,,,,,,,,,,++++++,,,,,,,,,---------++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,++++++*********------,,,,,,------...///)))***+++,,,------...---*********++++++,,,,,,,,,+++*********************,,,,,,,,,,,,,,,,,,,,,,,,)))***,,,...//////......$$$111---%%%"""'''222+++++++++------------++++++***++++++,,,,,,------...++++++,,,,,,,,,,,,------***************+++++++++******++++++++++++******))))))******+++++++++++++++,,,,,,------,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,++++++************+++++++++++++++++++++++++++++++++,,,,,,------,,,,,,+++************************)))************+++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,(((((())))))*********++++++++++++,,,,,,+++++++++++++++++++++,,,,,,---...++++++++++++++++++++++++++++++++++++++++++++++++************************))))))***+++,,,,,,------*********++++++,,,,,,,,,************************'''(((***,,,,,,+++)))(((************************''')))+++++++++***+++,,,******))))))***,,,---///+++++++++,,,,,,---------,,,++++++******++++++,,,///+++((())),,,...+++((()))))))))***+++++++++,,,++++++,,,,,,---...//////************************++++++++++++++++++++++++)))***+++,,,,,,,,,,,,,,,************************)))************+++++++++************************++++++++++++++++++++++++,,,,,,------,,,,,,+++***)))************+++++++++,,,,,,---......//////000---......///000111111222,,,,,,++++++,,,,,,---...+++,,,.../////////......,,,---///111111111111000//////000000000000//////........................)))***++++++,,,---......//////000000///...------,,,,,,,,,,,,,,,,,,,,,,,,---------------------------------....../////////+++,,,---............---666666666555444444333333444444333333222111000000333333333222000///---,,,...............///000000////////////000000000111000000000000000000000000............/////////000............////////////+++++++++,,,,,,+++++++++,,,,,,,,,---------......///...---...///000000///+++---...---+++---111555...,,,+++,,,......+++)))+++++++++++++++++++++++++++,,,------++++++,,,---//////...---,,,,,,,,,,,,.........------,,,,,,,,,,,,---......//////......******+++++++++,,,,,,,,,......---------,,,,,,,,,...------,,,,,,,,,------...---,,,++++++---...000......------------......+++++++++,,,...///...---,,,,,,,,,,,,------...///,,,.........,,,+++,,,---,,,,,,,,,++++++************++++++,,,,,,++++++******+++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******+++,,,,,,---......,,,,,,,,,++++++*********++++++++++++++++++++++++---------------------------------,,,,,,++++++++++++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,)))***+++,,,,,,+++)))(((++++++,,,,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,------++++++,,,------------,,,,,,,,,++++++******************************+++,,,,,,,,,,,,+++---,,,++++++******++++++...---,,,,,,++++++++++++++++++++++++++++++++++++---,,,+++******+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,------,,,,,,*********++++++,,,,,,---++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,......///000///...,,,+++************************************************++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,++++++*********---...,,,)))+++......***)))************+++++++++,,,,,,++++++++++++,,,,,,************************++++++++++++++++++++++++,,,+++*********+++,,,---************************++++++++++++++++++++++++,,,+++***))))))***+++,,,,,,,,,+++******+++,,,,,,---------,,,,,,+++++++++******+++++++++,,,,,,,,,+++,,,------,,,,,,---///////////////////////////......------------......////////////////////////000000000000111111111111////////////////////////........................---------............///////////////////////////---------------------------------............/////////////////////......//////.........---------777777666666555444444444444444333333222111111000222222222222111000///...///.........//////000000///////////////000000000000000000000000000000000........./////////000000000000/////////.........++++++,,,,,,,,,,,,++++++,,,,,,---------.........---,,,,,,---///000...---***,,,,,,,,,***+++///222///---,,,---//////---***+++++++++++++++++++++++++++,,,------++++++,,,------------,,,,,,---.........------------------,,,,,,---......//////......+++++++++,,,,,,,,,------.........---------,,,,,,...------,,,,,,---------///...---,,,,,,...000111......------------.........------///111111000///------,,,,,,,,,---......,,,---......,,,,,,---...,,,,,,,,,,,,+++++++++***++++++,,,,,,,,,,,,++++++++++++,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,------...,,,,,,,,,+++++++++******++++++++++++++++++++++++---------------------------------,,,,,,,,,++++++******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++++++++++++++******++++++,,,,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,------++++++,,,---------,,,,,,,,,+++++++++++++++++++++++++++++++++******+++,,,,,,,,,,,,,,,---,,,++++++***+++++++++...---,,,,,,++++++,,,,,,++++++++++++++++++++++++---,,,+++******+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,------------,,,+++++++++++++++,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++******++++++++++++++++++++++++************************++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,+++++++++******+++...---))))))++++++)))************++++++++++++........................++++++++++++++++++++++++++++++++++++++++++++++++,,,+++*********+++,,,---************************++++++++++++++++++++++++,,,+++***))))))***+++,,,...---,,,++++++,,,---...---------,,,,,,,,,++++++++++++++++++,,,,,,,,,,,,***+++,,,------...///000...------,,,,,,------...000000////////////000000/////////////////////////////////000000000111111........................................................./////////000000........................---------------------------------............///........................//////.........---------888888777777666555555555444444333333222222111111000111111222222222111111///////////////000000000////////////////////////000000000000000000000000....../////////000000000222111111000...------,,,,,,,,,------------,,,,,,------------.........///,,,,,,,,,...//////...,,,---...///...---...000222000///......//////...,,,,,,,,,,,,,,,,,,,,,,,,,,,+++---...---,,,+++,,,---,,,,,,,,,,,,---...///000---------------.........------...////////////...,,,,,,---------..................------------,,,---------,,,,,,------...000///.........///111111......------------.........------///111222111///......------------------+++,,,......------...000---,,,,,,,,,,,,,,,+++++++++,,,,,,------,,,,,,+++++++++,,,---------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,,,,*********++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,------------------------------------+++---...---,,,+++,,,---,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++***+++,,,,,,------,,,,,,------,,,+++++++++++++++...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,---------------,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++************+++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,000111,,,(((***++++++******+++++++++,,,,,,,,,++++++,,,------,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++,,,------++++++++++++++++++++++++************************++++++************++++++......------------......------------,,,,,,,,,,,,+++++++++,,,,,,,,,------+++++++++,,,---.........///...---,,,,,,---...///222222111111111111222222////////////////////////....../////////000000000................................................//////000000000111111111........................---------------------------------............///......................../////////.........------999999888888777666666666444444333333333222222222111222222222222222111111//////000000111111111111000000////////////......000000000000000000000000...////////////000000000111111000000///......------------......------------............/////////,,,,,,---///000000...,,,---................../////////...//////...---,,,------------------------,,,---...---,,,+++,,,...---------------...//////,,,,,,------......//////------...///////////////............////////////............------------------,,,,,,,,,---......//////.........///000111......------------......,,,+++,,,---///000///---000///...---------------***,,,......---...///111------------,,,,,,,,,,,,,,,,,,------------,,,,,,+++,,,,,,---...------------------------------------------------------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------------------,,,+++++++++,,,......,,,,,,,,,------------...------------------------,,,---...---,,,+++,,,...,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,---------------------,,,++++++++++++,,,...------,,,,,,,,,------------------------------------,,,,,,,,,,,,------------------------------++++++++++++++++++++++++------------------------------------------------+++,,,,,,---...------------------,,,,,,++++++***,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------...---,,,+++***+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,///444666000++++++...///++++++++++++,,,,,,,,,---+++---...000000...---+++........................,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,------++++++++++++++++++++++++************************++++++++++++++++++++++++...------------------...------------------,,,,,,,,,,,,,,,,,,---------------,,,,,,,,,---------,,,333111///------///111333222222111111111111222222////////////////////////............////////////................................................/////////000000000111111------------------------........................---------............///------------............////////////............999999999888777777666666444444444333333333333333444444444333333222111000///000111111222222111111000000000000000000000///111111111111111111111111////////////000000000111//////000000000000000000......////////////.............../////////000000.........000111222000...******+++,,,---,,,+++***---............---,,,,,,------------------------,,,---......,,,,,,---...000///...------------------------....../////////---...//////000000//////....../////////000000000//////.........---------,,,,,,,,,,,,,,,---...///.............../////////......------------......,,,,,,,,,---///000///...000///......------------+++,,,............000111---------------------------------......---------,,,,,,---.........------------------------------------------------------...---------------------,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,------------------------........................------------------------...---,,,,,,,,,---///000,,,,,,---------.................................,,,---......,,,,,,---...---------,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---............---...---,,,,,,++++++,,,,,,---------,,,,,,---......------------------------------------------------------------------------++++++++++++++++++++++++------------------------------------------------,,,,,,---.........------...------,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------------------,,,+++***+++,,,---...,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,///555777111+++,,,...///+++,,,,,,,,,------------222333555666666555333222........................,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,------------++++++++++++++++++++++++************************+++++++++,,,,,,+++++++++,,,,,,------------,,,,,,------------------------,,,,,,---------............------///222444333222444222000......000222444222111111000000111111222000000000000000000000000............////////////////////////////////////////////////////////////....../////////000000000................................................---------............///---------.........//////000000/////////.........999999888888777666666666444444444444333333333333555555555444333222111000///000111333333222222111000000000111111222222222111111111111111111111111/////////000000000111111/////////000000111111111/////////000000/////////////////////000000000000000///...///111222111000......///111333333000...,,,...//////---,,,,,,---........................,,,...///...---,,,---...111000///...------------.............../////////......///000000000000///....../////////000000000/////////.........------,,,,,,,,,,,,---......///------........./////////......------------......///......000222333222000//////......---.........,,,---//////......///111---------............///---......//////......---,,,,,,---...............---------------------------------------------------------------.........,,,,,,,,,,,,------------........................------------------------------------............000///////////////......------------------------------------...///000111,,,---------............////////////////////////,,,...///...---,,,---...............------------------------------------,,,---......//////.........------,,,,,,,,,,,,,,,------------------...///........................---......//////......---------------------------------------------------........................------------------------,,,,,,---...............------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------+++************++++++,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------...222333...***,,,------,,,,,,,,,---------......222222333444444333222222........................,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,---------------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++,,,,,,------------,,,,,,------------............---------.........//////...------111888<<<<<<;;;111000///......///000111111000000000000000000111000000000000000000000000....../////////000000000000000000000000000000000////////////////////////........./////////000000////////////////////////........................---------............///------......///000000000000000000/////////......999888888777666666555555444444444444444444444444333444444444444444333333///000222333444333222111000000111222333444444555111111111111111111111111//////000000000111111111111111111000000000000000///000000111111000000/////////000000000111111111111///------///111111111000000111555888888444111---///111000...,,,---...........................---...///...---,,,---///000///...............///////////////..................///000000000000000........./////////000000////////////............,,,,,,,,,,,,---...//////......//////000000000000......------------......///......000222333222000///............//////000---...000///...---...000------......////////////......////////////......,,,------...............................................................,,,,,,------......//////,,,,,,,,,---------......................................................------------.........///000/////////....................................------...///000000000000------------............////////////////////////---...///...---,,,---///000////////////.........------------------------------...///////////////......---,,,,,,,,,,,,------------------...//////........................---...///000000///...---................................................................................................,,,------...............,,,,,,,,,---------------------------------------------------------------........................******+++,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,------------------------........................------------------------,,,,,,,,,---------.........000000,,,+++......,,,------------............................................................------------------------+++,,,---.........---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,------,,,++++++,,,---...//////...---,,,------------.........///---.........///////////////---,,,111777;;;;;;999111000000//////000000111111111000000000000111111000000000000000000000000/////////000000000111111111111111111111111111111//////////////////////////////000000000111111111000000000000000000000000........................---------............///......//////000111111222000000000000/////////...888888777777666555555555444444444444444444444444111222333444555555555555///111222444444333222111000000111222444555666777111111111111111111111111000000000000111111111111333333222111000///......000000111111111111000000000000000000111111111111222///,,,+++---///111111++++++---111444555111---...000222222///---...000////////////////////////---...///...------...///......---......///000111000000//////......------...//////000000000000000............////////////000/////////............+++++++++,,,---...///000//////000111111111111111.........------.........---------...000111000///...............///000111...///000///...---...///---.........//////000000......////////////......,,,---......//////......................................................,,,,,,,,,---...///000000,,,,,,,,,------.........////////////////////////////////////////////////---------.........////////////.........---------........................,,,---///111111111111000---------.........//////000000000000000000000000---...///...------...///000000000000////////////........................---......///////////////......---,,,,,,,,,,,,------------------...///000////////////////////////---...///000000///...---........................////////////////////////////////////////////////........................,,,---......//////......,,,,,,,,,------.........------------------------------------------------........................+++,,,...///000///..............................,,,,,,,,,,,,,,,,,,,,,,,,------------------------........................------------------------,,,,,,,,,------.........000111000---...222111------------........./////////...------------...///........................------------------------+++,,,---.........---,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------++++++------------++++++---...///000000///...------------.........//////............/////////000111---+++...333555333000222222222222222222222222222111111111111111111222000000000000000000000000000000000000111111111111222222222222222222222222000000000000000000000000000111111111111222222222000000000000000000000000////////////////////////---------.........//////...//////000111222222333000000000000////////////888888888888777777777777555555444444444333333333333333333222222222222111000000111111222222222222111111222333333333333222111222222333333222222111222222222222222222222222444444333222111000//////000000000000000000000000111000111666;;;<<<777222//////............//////000000000000000000000000000000000000000000000000000...,,,+++---...///...////////////////////////222111000//////000111222////////////////////////222111111111000000//////000000000000000000000000000///...------,,,,,,---........................,,,------...///000111111222222111000//////000000............/////////000////////////////////////////////////////////////---//////---,,,---...///---...///000000///...------......///////////////,,,------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,............////////////......////////////............------------.........//////...,,,,,,---///---------.........//////---------.........//////......////////////......---......///////////////000000000000000000000000//////............//////111111000///////////////////////////////////////------............------,,,---///000000000///...//////.........---------////////////////////////000000//////.........---000000///.....................////////////........................................../////////000222000...---,,,---...///////////////////////////,,,,,,,,,---------................../////////000........................////////////////////////---------.........//////...//////...,,,***+++,,,,,,------......------,,,........................---------.........//////,,,,,,,,,,,,,,,---...///........................333111///...---------...//////.........---------------------------------..................------------------------------,,,---.........---,,,+++---------.........//////------------------------,,,++++++---///000///...------------------------........................///000111111111///...---000000000000000111111222222111000000000000000000222111000//////000111222222111111111000000//////000111111111111222222222;;;999666333000///......111111000000000000111111000111222222111222333555333333222111000000111111000000000000000000000000000000000000000000000000000000111111111111000000111111111111000000000000:::999999999999888888888666666666555555555444444222222222222111111111111000111111111222222222222111111222333333333333222222222333333333333222222222222222222222222222222222222111111111111111000000000000000000000000000111000000333888999555111000000////////////000000000000000000000000000000000000000000000000000000000///------/////////...////////////////////////222111000//////000111222////////////////////////222111111111000000000000000000000000000000000000000///................../////////////////////////////////000000111111111222222111000000000000000........./////////000000////////////////////////////////////////////////...000111///......///000......///000000///......---...//////000000//////------............------........................000000000//////...............////////////......///..................//////000000///...---///111------........./////////------........./////////......////////////......---...//////000000//////000000000000000000000000//////............//////111111000///////////////////////////////////////---......//////......------...///000000000///.../////////.........------////////////////////////000000/////////.........000000///............///......////////////......////////////////////////........./////////000000222000///---------///000////////////////////////------------...................../////////000000........................////////////////////////------.........////////////000000///---,,,,,,------------......---------........................------........./////////------,,,,,,------...///........................111000///...............//////.........---------------------------------........................---------------------------------......------,,,------------............------------------------------,,,---//////...,,,000000///...------------........................///000111111000///...---000000000000000111111222111111000000000000111111222111111000000111111222222222111111000000000000111111111111222222222222444333222111000111111222111111000000000000111111000111222111111222444777333333222111111111111111////////////////////////111111111111111111111111111111222222222222111111111111111111000000000000;;;;;;;;;:::::::::999999777777777666666666555555333333333333222222222222111111111111222222222222111222222333333333333333222333333444444333333222333333333333333333333333///000000000111111222222000000000000000000000000222000///111444555333000111111000000000000111111000000000000000000000000000000000000000000000000000//////000111111000...////////////////////////222111000000000000111222////////////////////////111111111111111000000000000000000000000000000000///////////////000000111000000000000000000000000111111111111111111222222222222111000000000000111////////////000000000000////////////////////////////////////////////////...///000111///...///000...//////000000//////.........///000000000000000...//////000000//////...000000000000000000000000222222111000///...------...//////000000//////...//////............/////////000111000//////000222............////////////............////////////...//////000000//////.........///000000000000000000000000000000000000000000//////......//////000111111000/////////000000////////////////////////......////////////......---...///111111000000///////////////............////////////////////////000000////////////......111000//////......//////...//////000000//////...000000000000000000000000....../////////000000000111000///...---...///000////////////////////////............////////////....../////////000000000........................////////////////////////............////////////000111111000...---...///------............------////////////////////////............////////////...------------......///......................../////////000000//////.../////////............---...........................................................................---------------......,,,,,,,,,---------......------------------------///...---...//////---+++000///.........///000111///////////////////////////000000000000//////...000000000000000111111222111111000000000111111222333222222111111222222333222222222111111111111000111111111111222222222333000000000000000111222333222111111000000111111222111111222111111333666999333333222111111111222222000000000000000000000000111111111111111111111111222222333333333333222222222222111111111000000000;;;;;;;;;:::::::::999999777777777666666666555555555555555555444444444444222222222222222222222222111222333333444444333333333333444444444444333333333333333333333333333333000000000111111111222222111111111111111111111111444222000000222333222000333222222111111222222333000000000000000000000000000000000000000000000000111000000222333333111...////////////////////////111111111111111111111111000000000000000000000000111111111111111111111111111111111111111111111111////////////000111222333111111111111111111111111222222222222111111111111222222111000000111111111//////000000000111111111000000000000000000000000////////////////////////---...000222111------000/////////000000/////////...///000000111111000000///000000111111000000///111111111111111111111111222222111000000///......//////000000000000///////////////000000////////////000000000//////000222....../////////000000000....../////////000000000//////000000000000//////...///000000111111000000000000000000000000000000000000////////////000000111111000000///000000111000000000000000000000000...//////000000//////......///000111111111000000000000000/////////......////////////////////////000000//////////////////111000000///...///////////////000000000000//////000000000000000000000000...////////////000000000000000///......//////000////////////////////////////////////000000000000...////////////000000000........................////////////////////////....../////////000000000///000111000...---...///......////////////......////////////////////////....../////////000000000///...............//////........................---...///111111111000////////////...................................................////////////..............................---,,,,,,---///000,,,,,,,,,,,,------------........................000///...///111111000......---------...111333444///////////////////////////000000000000/////////000000000000000111111222000000000000111222222333333333333333333333333333222222222222222222222222111111111222222222333333222222222222111222222222222222111111111111222222222222222111111333777:::444333333222222222333333222222222222222222222222222222222222222222222222222222333333333333222222222222222111111111000000;;;::::::::::::999999999666666666555555555444444444444444444333333333333333222222222222222222222222222333444444444444333444444444555555444444444333333333333333333333333222222222222111111111111222222222222222222222222555444222111222333333222333333222222222222333333111111111111111111111111111111111111111111111111111111111333444444111///000000000000000000000000111111222222222222111111111111111111111111111111111111111111111222222222222222222222222222222222/////////000000222333444222222222222222222222222111111111111111111111000222111111111111111222222000000000111111111111222111111111111111111111111000000000000000000000000000///222666555000...222000000000//////000000000///000000111222111111111000111111111111111111000000000000000000000000000000111111111111111111111//////000000000000////////////000111111000//////.../////////......000222/////////000000000111111/////////000000000111111//////000000000000/////////000000111222111111111111111111111111111111111000000////////////000000111111000000000000111111111111111111111111111111///000000000000000000/////////111222222222111000111111000000000/////////000000000000000000000000//////000000000000000000111111000/////////////////////000000000000//////////////////////////////////////////000000000111000000/////////000000000000000000000000000000000/////////000000000111111////////////000000000111////////////////////////000000000000000000000000/////////000000000111111...///000///---------///...//////000000//////...000000000000000000000000/////////000000000111111000//////....../////////////////////////////////---...///111111111000000////////////////////////////////////////////////........./////////000000////////////////////////......---,,,---...///111,,,,,,,,,---------..............................///...///111333555444333//////......///000111222000000000000000000000000000////////////000000000000000000000000111111222000000000000111222444444333333333444444333333333222222222222333333333333111222222222222333333333333444444444444444444444333333222222222222333333222333333222222444777:::444333333333333333444444222222222222222222222222222222222222222222222222111111222222222222111111222222222222111111111111;;;;;;:::::::::999999999666666666555555555444444222222222222111111111111333333333333222222222222222222333444444444444444444555555666666555555444333333333333333333333333444444333333222222222111222222222222222222222222555444444333333333444444333333222222222222333333111111111111111111111111111111111111111111111111222111111222333333222000000000000000000000000000111111222333333222111111111111111111111111111111111111111222222222222222222222222222222222222222////////////000111222333222222222222222222222222111111111111111111111111222111111111111222333333000111111111222222222222111111111111111111111111000000000000000000000000333222555<<<;;;333111555111000000//////000000111000000111222222222222222000111111222222111111000000000000000000000000000000000111111222222222222///000000111111000000//////000111222222111000///---...//////......000222000000000000111111111111000000000000111111111111///000000111111000000///000000111222222222222222111111111111111111111111111000000//////000000111111111000000000111222222111111111111111111111111000000111111111111000000///000111222333222222111111111111111000000000000000000000000000000000000//////000000000000111111222111000000//////000000///000000111111000000////////////////////////////////////000000000111111//////000000000000111111000000000000000000000000////////////000000000000/////////000000000111111////////////////////////000000000000000000000000000000000000111111111111---...//////------.../////////000000000000//////000000000000000000000000000000000000111111111111111000000////////////000////////////////////////...///000000111111111111...////////////000000000000000000000000000000000.........//////000000111000000000000000000000000------------...///000000---------.........//////..............................///111444666666555333333222111111000//////000000000000000000000000000////////////000000111000000000000000111111222//////000000222333555555222333333444444333333222222333333333333444444444222222222222333333333333333333555666777888888888444333333222222333333444333444555555444444666888444444333333333444555555000000000000000000000000333333333333333333333333111111222222222222111111333222222222222111111111<<<<<<<<<;;;;;;;;;;;;:::777777777666666666555555333333333333222222222222444444333333333222222222222333444444555444444444555555666666666666555555444444444444444444444444333333444444444444555555333333333333333333333333333333444444333333444444333333222222222222333333111111111111111111111111111111111111111111111111333111000000111222222111000000000000000000000000111222222333333222222111222222222222222222222222111111111222222333333333333333333333333333333333///////////////000111222111111111111111111111111111111222222333333444444222111111111222222333444111111111222222222333333222222222222222222222222000000000000000000000000333111555===<<<333000555111111000//////000111111000111222222333333222222000000111111111111000000000000000000000000000000222222222222222222111111000000111111111111000000///000222333333222000///...///000000///000222444000000000111111111222222000000000111111111222222000000111111111111000000000111222222333333222222111111111111111111111111111111000000000000111111111111000000111111222333222222222222222222222222000111111222222111111000000111222333333333222111222222111111111000000000000000000000000000000000//////000000000111111111222111000000//////000000000000111111111111000000000000000000000000000000//////000000000111111111//////000111111111111111000000000000000000000000........./////////000000//////000000000111111111////////////////////////000000000000000000000000000000000111111111222222...///000000......///000///000000111111000000///111111111111111111111111000000000111111111222222222111000000//////000000////////////////////////000000000000000000111111.../////////000000000000000000000000000000000000---......///000000111111000000000000000000000000,,,---...//////000000000........./////////000000.................................000333444333222222333444555555444333222111111111111111111111111000///......///000111222000000000000000111111222//////000111222444555666111222333444444333222111333333333333444444444555222222222333333333444444555666777888888888777666444444333333333333444444333555777777666555555555444444444444444555666666222222222222222222222222444444444444444444444444222222333333333333222222333333222222222111111111>>>=========<<<<<<<<<<<<888888888888777777777777777777666666666555555555444444444333333222222222222333444444555555444444555555666666666666555555444444444444444444444444222222333444555666777888333333333333333333333333111222444444444333333444333222222111111222222333111111111111111111111111111111111111111111111111444222//////000222222222000000000000000000000000111222333444444333222111222222222222222222222222111111111222222333333333333333333333333333333333///////////////000000111111111111111111111111111222222333333444555666666222111111111222333333444111111222222222333333333222222222222222222222222000000000000000000000000111...333<<<:::000---333222111000//////000111222111111222333333333333222000000111111111111000000111111111111111111111111555444444333222111000000000000111111111111000000///000222333333222000//////000111111000111333555000111111111111222222222000111111111111222222222000000111111111111000000111111222333333333333222111111111111111111111111111111000000000000111111111111000000111222333333222222222222222222222222111111222222222222111111000111222333444333222222222222222111111111111000000000000000000000000000//////000000111111111222222111111000000000000000000000111111111111000000111111111111111111111111000000000000111111111111...///000111111111111111000000000000000000000000............////////////000000000000111111111111000000000000000000000000000000000000000000000000000111111111111222222222///000111111000///000222000000111111111111000000111111111111111111111111000111111111111222222222222222111000000///000000000000000000000000000000222111000//////000111222.../////////000000111111000000000000000000000000---......///000111111222000000000000000000000000+++,,,...000111000000///////////////000000000000////////////////////////.........///111222000///---000444888::::::999888111111111111111111111111000///.........000111222000000000000000111111222//////000111222444666777111111333333333333111111333333333444444555555555222222333333333444444444999::::::999777555333111555444444333333444444555333666888999777555444444444444444444444555666777555555555555555555555555444444444444444444444444333444444555555444444333333333333222222222111111===============<<<<<<<<<<<<;;;::::::999999:::::::::999999999888888777777666666666666777777777777555555555555555555444444777777777777777777777777999999888777666555444444888888888888777666444444444444444444444444444444555555666666666666555555666444333333444555333222222222333333333444444444333333333222222111111111333333333222222222111111222222222333333222222222222333444444222111111111333333333333333333333333333333333222222111111111333333333333333333333333222222222111111111000000111000000000111222222333555444444333333444444555444444444444444444444444222222222222222222222222666555444333222111111111222222222222222222222222444333222222111111222222222222222222222222222222222222222222222222222222444444444333333222222222222222222222222222222222666555333111111222333444///444999:::888444222222333333333333333333333333000111111111111222222222222222222222222222222222111///...///111222111000111111111111111111111111///111222444444333222111111111222333333333333222333222222111111111111111222222222222222222222222111111111111111111111111222222111111111111222222111111111222333333333444444333000//////000333444000000000000000000000000111111222222222222111111444333222111111222333444666666555555444333222222000111111111111222222222111111111111111111111111000000000000111111111111000000000000000000000000222222222111111111111111111111000000000000111111////////////000000000000111111111111111111111111111222222222222333333333333222222222111111000000222222222222111111000000111111222222222222111111000111333444444333111000222222111111000/////////000111222222222222111000333333222111000000111111222222222222222222222222000000000000000000000000111111111111111111111111...///111222222222111000000000////////////000000333222222222111111000000222222222222222222222222//////000000111111111222333333444555666777999:::111111222222222333333333000222333333111000000111111111111111111111111111111111222222222333333333222222222333333555666777;;;:::888777666666666666222333444666777999:::;;;999888777666555444333222555555555555666666666777888888777777777777888888666666777888888888888888333555666555444444555666555555444444444333333333222333333444555666777777...000333555666666444333>>>>>>>>>======<<<<<<<<<<<<;;;::::::999999::::::999999999888888888777777666666666777777777888888555555555555555555555555777777777777777777777777888888888777666666555555888888888888777666555444555555555555555555555555555555666666666666555555666555333444555555444222222333333333333444444444444333333333222222222222444333333333333222222222222222333333333333222222222444555444222111111222333333333333333333333333444444444333333333222222444444444444444444444444333333333222222222111111333333222222333444444555444444444333333444444444444444444444444444444444444444444444444444444444666555444333333222333333333333333333333333333333555555444333333333333333333333333333333333333333333333333333333333333333444444444444333333333333333333333333333333333333666555333222111222333444///333777888666333222222222222222222222222222222111111111222222222333333333333333333333333333333222111111222444444333222222222222222222222222222000111333444555444333222111111222333333333333222444333333222222222222222222222222222222222222222222222222222222222222222222222111111111111222222222222222222222333333333333222111000000111222333222222222222222222222222222222333333333333222222444333222111111222333444444444333222222111000000111111111222222222333333111111111111111111111111111111222222222333333333111111111111111111111111222222222222111111111111222111111000000111111222///000000000111111111111111111111111111111111111111222222222333333333333333333333222222111111111333333222222222111111111111222222333333222222111111222333444444333222111111111111111111111111111222222222222222222222222333333222111111111111111333333333333222222222222111111111111111111111111222222222222222222222222///000111111222222111111111000000//////000000111222222222222222111111111111111000000000000111111000000000111111222222222333333333333333444555666333333333333333222222222111222444333111000000111222222222222222222222222222222222222333333333333555555555555666777888888999999999888888777666666444555666777888:::;;;;;;999888888777666555444444555555666666666777777777888888777777777777888888666777777888888888888888555666777777666555666777555555555555555555555555555555555555555555555666111222444555666666555444@@@@@@???>>>===<<<<<<;;;<<<;;;;;;:::::::::::::::888888888888888777777777666777777777777888888888666666666666666666666666777777777777777777777777777777777777777777777777888888888888888777666555777777777777777777777777444555555666666555555444777555444444555555444333333333333444444444555555444444444333333333333333555444444444333333333333333333444444444444333333333444666555333222333333444444444444444444444444666666555555555555444444555555555555555555555555555555444444444444333333666555555555555666666777444444333333333333444444444444444444444444444444555555555666666666666666555555444444444444555555444444444444444444444444777666555555444444555555444444444444444444444444444444444444444444444444444444444444444444555555444444444444444444444444666555444333333333444555000222444555444222222222111111111111111111111111222222222333333333444444444444444444444444444444333333444666888888555333333333333333333333333333111222333555555444333333111111222333333333333333555444444333333333333333222222222222222222222222333333333333333333333333222222111111111111222222333333333222222222222222222222111111111111222222333333333333333333333333444444555555555555444444444444333333333333444444333333333222222111111000222222222333333333444444222222222222222222222222333333333444444444555555222222222222222222222222222222222222222222222222333333222222222222333333111111111222222222333333222222222222222222222222222222222333333333444444444444444333333333333222333333333333333222222222333333333444444333333333444444444444444444444444000000111222222333444444444333222222222222333444444444333222222222222333555444444444333333222222333333333333333333333333222222222222222222222222222111111111111222333333222111111000000111111222222222222222333333333333222111111000000111111222111111222222222222222333444444333333333333333444555555444444333222222222222333444444222111111222222222222222222222222222222333333333333444444444555555666666777777888888666777999::::::999777666777777888888999:::::::::999999888888777777777777666666666777777777888888888888888888888888888888777777888999999999999888777888999999777666777999666666666666666777777777777666666666555555555444555555555666666666555555BBBAAA@@@???>>>===<<<<<<<<<<<<;;;:::::::::::::::888888888888888888888888777777777888888888999999666666666777777777777777888888888888888888888888777777777888888999999999888999999999888888777666777777777777777777777777555555555666666555555555777666555555666666555333444444444444555555555555444444444444444444444444666666555555555444444444444555555666666555555444333555777666555444444555555555555555555555555555777777777777777777777777555555555555555555555555666666666666666666666666777777666666666777777888555444444333333444444555555555555555555555555555666666666666777777777777666666555555555666666777555555555555555555555555777777666555555555555555555555555555555555555555555555555555555555555555444444444555555666666666555555555555555555555555777666555444444444555555222333444444333333444444222222222222222222222222333333444444444555555555555555555555555555555555444444666888:::999666444444444444444444444444444222333444555555555555444222222333444444444444333555555444333333333333333333333333333333333333333444444444444444444444444333222222222222222222333444444444333333222222222111222333333333333222111444444444444444444444444444555555555555555555444555444444444444444444555555555555444444444333333333333444444444555555555222222222222222222222222444444444444555555555666444444444444444444444444222222333333333333333444555444444333333444444555333333333444444444444555333333333333333333333333333333333444444444555555555555555555555555555555444444444444444444444444444444555555555555444444666555555444444555555666222222333333333444444444555555444333333444555555555555444333333444444444666666555555444333333333444444444444444444444444333333333333333333333333444333222222222333555666333333222222222222333333222222333333444444555555444444333333333333444444333333333333333333333333555555555555555555666777777777666555444333222111333444555555333222222333333333333333333333333333333333444444444555555555444444555555666666666666444777999<<<<<<;;;888777999999999999999999999999999999999999999999999999777777777888888888888999888999999999999999999888777888999999::::::999999888999:::999777777888999999999888888888777777777666666666666666666666666999888777666666666777777CCCBBBBBB@@@???>>>=========<<<;;;;;;::::::;;;;;;888888888888999999999999888888888888999999999999777777777888888888999999999999999999999999999999777777888888999999::::::999999999999999888888777666666666666666666666666555666666777777666666555888666555555666777555444444444555555555666666666555555555555555555555555777777777666666666666555666666777777777777666666444666888888666555666777666666666666666666666666888888888888888888888888555555555555555555555555777777777777777777777888777777666666666666777777666555555555555555555666666666666666666666666666555666666666777777888888777777777666777777888888666666666666666666666666777777666555555555555555666666666666666666666666666666666666666666666666555555555666666777777777666666666666666666666666777777666666666555666666555555444555666777777777555555555555555555555555555555555555666666666666666666666666666666666666444555666999::::::777444555555555555555555555555444444555555666666666666333333444555555555555555555555444333333333333444444444444444444444444444444444444444444444444444444444333333333333444444666666555555444444333333222333444555555444333222444444444444444444444444444444555555555555444444555555555666666555555555666666666555555555555555555555555555666666666666444444444444444444444444444444444555555555666666666666666666666666666666444444444444555555666666666666555555555555666666555555555666666666777777555555555555555555555555555555555555666666666666666666666666777777777777555555555555555666666666666666777777777777666666777777666555555666777777666555555555444444444333666666555555555555666666666555555555555555666666666666666555555555444444444444444444444444444444444444444444444444444444555444333333333444666777444444333333333333444444333333444444555555666666444444444555555444444444555555555555555444444444444444444555666777999999999888777666555333222222444555666666444333333444444444444444444444444444444555555555555666666666444555666777777777666666444777:::======<<<999777999999888888888777777777999999999999::::::::::::888888888999999999999:::999999::::::::::::999999888888999:::::::::::::::888999:::999777666777888<<<<<<;;;:::888777666666555555666666777888888999;;;:::888777666666777888CCCCCCBBBAAA@@@??????>>>===<<<<<<;;;;;;;;;;;;;;;999999999:::::::::::::::888888999999999:::::::::777888888999999:::::::::999999999999999999999999888888999999::::::::::::999999:::::::::999999888666666666666666666666666666777777888888777777666999777666666777777666555555555555666666666666777666666666666666777777777888888888888777777777777777777888888888888777777555777999999888777888999777777777777777777777777888888888999999999999:::666666666666666666666666777777888888888888999999888777777666666666666666777777666666666666777777888888888888888888888888666666777777888888999999999999888888888888888999888888888888888888888888888777666666555555666666888888888888888888888888888888888888888888888888777777777777777777888888888888888888888888888888888888888777777777666666777666666777999:::999888777777777777777777777777666666666777777777777888888888888888888888888888555555666888:::999777555777777777777777777777777555666666666666777777777555555666777777777777777777666555555444555555555666666666666666666666666555555555555555555555555666666555555555555666666777777777666666666666666444555666777777666555444444444444444444444444444555555555666666555555555555666777777777777666555555555555555555555555555666666666777777777777888555555555555555555555555555555555555666666666777777777777777777777777777555555666666777888888888888777777777777777777888777777777888888888888999777777777777777777777777777777777777888888888999777888888888888888999999666666666777777777777777777888888999999888888777888888888888888888888888888777777666555555444444666666777888888777666666777666666666666777888888666666666666666666666666555555555555555555555555555555555555555555555555666555555555555666777777666555555444444555555666555555555555555666666666333444666777777666444333777666666666666555555555222222333444555777999:::999999888777666555444333555666777777555444444555555555555555555555555555555555666666666777777777777888999::::::999888777666888;;;===>>><<<:::888999999888888777777777777999999999:::::::::::::::999999999::::::::::::;;;999:::;;;<<<<<<;;;:::999999999:::;;;;;;;;;;;;:::999:::;;;:::888777777888===<<<;;;:::999777666666555555666777888999::::::;;;:::999777777777888999CCCBBBBBBBBBAAAAAA@@@@@@======<<<;;;;;;;;;;;;;;;:::::::::;;;;;;<<<<<<<<<999999999::::::::::::;;;888888999999:::;;;;;;;;;::::::::::::::::::::::::999999999:::::::::::::::999999:::::::::::::::999888888888888888888888888888888999999999999888888999888666777888888777555555555666666666777777777666666666777777888888888999999999999888888888888888888999999999999888888666888999:::999888999:::888888888888888888888888888888888999999:::::::::888888888888888888888888777777888888888999999999999888888777666666777777999999888888888888999999::::::::::::::::::::::::777888888999::::::;;;;;;<<<;;;:::999888888888999999999999999999999999999999999888777777777777777999999999999999999999999999999999999999999999999888888888888888888777777999999999999999999999999888888999888888888777666777666666888;;;<<<:::888888888888888888888888888777777777888888888888999999999999999999999999999777777777888999:::999777888888888888888888888888777666666666777777888888777777888999999999999888999999888777777777777888888888888888888888888888888888888888888888888888888777777777777777777888888888888888888888999999777777777888888777777777666666666666666666666666666666777777777777666666666666777888888777666666666666666666666666666777777777777888888888888999777777777777777777777777777777777777888888888888888888888888888888888888777777888888999::::::;;;999999888888888888999999888888999999999:::::::::999999999999999999999999999999999::::::::::::;;;888888999999::::::::::::777777777888888888999999999999::::::::::::999999777888999::::::999888777777777777777777777666666555777999::::::999777555777777777777777888999999555666666777777888888999777777777777777777777777666666666666666666666666555666777777888888777777777666666555555666666777777777666666666666666666555777;;;======;;;777555888888777777777666666666555555555555666777999999999999888777777666555555555777888888666555555666666666666666666666666666666666666777777777888888777888:::;;;;;;:::888777888999;;;======<<<:::999999999999999999888888888:::::::::999999999999999::::::::::::;;;;;;;;;;;;999:::;;;<<<<<<;;;:::999999::::::;;;;;;;;;;;;;;;;;;<<<===;;;999888888999:::::::::999999999999888777777777888888999999999999999888888888888888888BBBBBBBBBBBBBBBBBBBBBBBB======<<<;;;;;;;;;;;;<<<;;;;;;;;;<<<<<<=========999999:::::::::;;;;;;;;;888888999::::::;;;<<<<<<::::::::::::::::::::::::::::::::::::::::::::::::999999:::;;;;;;:::::::::999999999999999999999999999999::::::::::::999999999888777777888888777555666666666666777777777777666666777777888888888999:::::::::999999999888888888999999::::::999999888666888::::::999999:::;;;888888888888888888888888888888888999999:::::::::::::::::::::::::::::::::777777777888888999999999:::999999888777777777888:::999999999999999999:::;;;;;;;;;;;;;;;;;;;;;;;;999999::::::;;;<<<=========<<<;;;:::999888888888999999999999999999999999;;;:::999999888888999999999999999999999999999999999999999999999999999999:::999999999888777777777999999999999999999999999888999999999999888777777777666666888;;;<<<:::777888888888888888888888888777888888888888999999999999999999999999999999999999888777888:::;;;:::999888888888888888888888888777777777666777888888999888888999::::::::::::999<<<;;;::::::999999::::::999999999999999999999999::::::::::::::::::::::::999999888888888888999999888888888999:::::::::;;;888888888888888888888888777777777777777777777777888888999999999999888888666777888999999888777666999999999999999:::::::::777888888888888999999999888888888888888888888888888888999999999:::::::::999999999999999999999999888888999:::;;;;;;<<<<<<:::999999888888999999:::999999999:::::::::;;;;;;:::::::::::::::::::::::::::::::::;;;;;;;;;<<<<<<999999999::::::;;;;;;;;;777777888888888999999999999::::::;;;;;;::::::999777888:::;;;;;;:::888777666666666777888888999999555777:::<<<<<<:::777555888888777777888999::::::555555666777888999::::::888888888888888888888888777777777777777777777777555666777999999888777777777777666666666666777777888888777777666666555555888<<<@@@CCCCCC@@@<<<888999888888888777777666666::::::999999999999::::::999999888888777666666666666777888888666555555666777777777777777777777777777777777777888888888888666777888999999888666555999:::<<<======<<<:::999:::::::::::::::::::::::::::::::::999999888888888:::::::::;;;;;;;;;<<<<<<999:::<<<======<<<:::999999:::;;;;;;<<<<<<;;;;;;===>>>>>>===;;;999:::;;;777777888999999:::;;;;;;999999999888888888888888888888888888888888888888AAAAAAAAAAAAAAAAAA@@@@@@>>>>>>===<<<;;;;;;::::::::::::::::::;;;<<<======;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<;;;;;;;;;;;;???>>>>>>======<<<<<<;;;=========<<<<<<<<<<<<<<<;;;;;;:::::::::;;;;;;<<<<<<<<<;;;;;;;;;::::::::::::;;;;;;;;;;;;;;;;;;;;;888888888888888888888888777777888999:::::::::999999999999999999999999999::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;::::::;;;;;;;;;;;;::::::<<<;;;:::::::::;;;===>>><<<<<<<<<<<<<<<<<<<<<<<<>>>===;;;::::::;;;===>>>===<<<<<<;;;:::999999888<<<;;;;;;;;;;;;:::::::::;;;;;;;;;;;;;;;;;;;;;;;;999999;;;<<<<<<;;;999999999::::::;;;<<<======>>>::::::::::::::::::::::::999::::::;;;;;;::::::999888888777777777888:::;;;888888888888888888888888::::::::::::;;;;;;<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;<<<===???@@@@@@???===<<<999999999999999999999999666777:::<<<<<<<<<;;;:::999999999999:::;;;<<<===::::::::::::::::::::::::;;;;;;<<<;;;999999;;;===>>>;;;888888;;;<<<<<<:::;;;;;;;;;::::::999999999888888888888888888888888::::::999999999999888888;;;;;;<<<<<<<<<;;;999888::::::::::::::::::::::::===<<<;;;:::999888888888;;;:::888777888:::<<<===::::::::::::;;;;;;<<<<<<;;;;;;::::::999999999888::::::::::::::::::::::::::::::::::::::::::::::::;;;;;;::::::::::::;;;;;;777888:::;;;<<<;;;;;;:::::::::;;;;;;;;;;;;::::::::::::::::::::::::::::::888888999999999:::::::::::::::::::::::::::::::::<<<<<<<<<<<<<<<<<<;;;;;;<<<<<<;;;;;;;;;;;;<<<<<<;;;;;;;;;:::999:::===@@@============<<<<<<;;;;;;;;;===>>>===;;;:::999:::===<<<<<<<<<<<<<<<<<<===<<<======<<<:::999:::;;;;;;<<<<<<======<<<<<<;;;===>>>>>><<<:::999:::<<<:::::::::999999888888888::::::;;;;;;::::::999999;;;;;;:::::::::999999999<<<;;;:::888888999999:::777888888888999999::::::===<<<;;;999999999::::::888999<<<======<<<999888888999999999:::::::::::::::999777666777888:::;;;;;;;;;999777:::???>>>999CCC===777666:::<<<;;;888888888888999999:::::::::;;;:::999888777777777777777777777777777777777777777888999:::999888777666999888888888888999::::::;;;;;;:::999999999999999<<<<<<<<<<<<<<<;;;:::999===<<<;;;;;;::::::;;;;;;:::::::::::::::::::::::::::::::::;;;;;;<<<<<<<<<<<<===>>>>>>>>>===<<<;;;999999999::::::;;;;;;;;;:::::::::;;;;;;<<<<<<<<<======<<<;;;;;;:::999999;;;;;;:::999:::;;;<<<===;;;::::::999:::;;;<<<===FFFEEEEEEEEEDDDDDDCCCCCCBBBAAAAAA@@@??????>>>>>>???????????????@@@@@@AAA;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<@@@@@@@@@@@@????????????<<<<<<<<<======>>>>>>>>>======<<<<<<<<<======>>><<<<<<<<<<<<;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<======>>>>>>======;;;;;;;;;;;;;;;;;;;;;;;;999999999999999999999999999999999999999999999999888888999999999999888888888888888888888999::::::999999999999999999999999:::999888777777888999:::<<<<<<;;;::::::999888888999888888888888777777777::::::::::::::::::::::::;;;<<<<<<<<<<<<<<<<<<;;;======>>>??????@@@AAAAAA<<<<<<<<<<<<<<<<<<<<<<<<<<<======>>>>>>======<<<======;;;;;;:::;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;<<<======>>>>>>>>>===<<<<<<<<<<<<<<<<<<<<<<<<<<<===???@@@@@@???===<<<========================888999<<<===>>>>>>===<<<<<<;;;;;;<<<<<<>>>??????>>>>>>>>>>>>>>>>>>>>>>>>===>>>??????======>>>???@@@===;;;;;;===>>>>>>===<<<=====================================================================??????@@@AAA@@@@@@>>>>>>????????????????????????@@@???>>>===<<<<<<<<<<<<>>>===<<<<<<===>>>???@@@============>>>>>>>>>???@@@@@@@@@??????>>>>>>>>>????????????????????????::::::::::::::::::::::::;;;::::::999999::::::;;;::::::;;;;;;<<<;;;;;;;;;999999::::::::::::999999;;;;;;;;;;;;;;;;;;;;;<<<;;;;;;;;;;;;<<<<<<<<<<<<=====================<<<<<<<<<<<<<<<<<<<<<<<<<<<======<<<<<<<<<<<<======?????????>>>===>>>AAACCC????????????>>>>>>>>>===???@@@@@@???===<<<<<<===>>>>>>============>>>>>>===>>>??????===<<<===>>>??????@@@@@@@@@@@@??????999:::;;;:::999999:::<<<;;;;;;:::::::::999999999;;;;;;;;;;;;:::999888888:::::::::999999999888888===<<<;;;:::::::::;;;;;;999999999::::::;;;;;;;;;???>>><<<;;;::::::::::::777888:::;;;;;;:::888777:::::::::::::::;;;;;;<<<;;;:::999888888:::;;;===444555555666<<>>>>>>>>======<<<;;;::::::::::::;;;;;;<<<===<<<<<<<<<<<<<<<<<<======>>>>>>>>>===<<<<<<;;;;;;<<<======>>>>>>=========<<<<<<<<<=========>>>>>>;;;;;;;;;;;;<<<<<<======999999999999::::::::::::;;;;;;:::::::::;;;<<<===999999888888888999;;;;;;CCCBBBBBBAAA@@@???>>>>>>@@@@@@??????>>>>>>======??????>>>=========>>>>>>=======================================>>>>>>>>>=========>>>>>>>>>>>>>>>=========>>>?????????@@@@@@??????>>>>>>>>>??????>>>>>>>>>=========<<<<<>>>>>======<<<<<<888888888888888888888888::::::::::::::::::999999777777777777777777777777>>>>>>>>>>>>>>>>>>>>>>>>????????????????????????>>>>>>????????????>>>>>>>>>>>>???@@@@@@@@@??????>>>>>>>>>>>>>>>>>>>>>>>>AAA@@@???>>>>>>???@@@AAACCCCCCBBBBBBAAAAAA@@@@@@????????????>>>>>>>>>===>>>>>>>>>>>>>>>>>>>>>>>>===<<<<<<;;;;;;<<<<<<===::::::;;;;;;<<<<<<======::::::::::::::::::::::::999::::::;;;;;;::::::999<<<;;;:::999999888999999::::::::::::::::::::::::999:::<<<======<<<;;;:::::::::::::::::::::::::::::::::<<<<<<<<<<<<::::::999999999999999999999999888999:::<<<<<<<<<;;;;;;888888888888999:::;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<888:::<<<===;;;:::::::::===;;;999888:::;;;;;;;;;999::::::;;;;;;<<<<<<===888888888888888888888888666777777888888999999:::::::::;;;<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::999888888999999::::::;;;;;;;;;;;;;;;;;;999999999999::::::::::::;;;;;;:::::::::::::::999::::::::::::::::::::::::===========================<<<<<<<<<<<<<<<<<<===@@@???>>>>>>>>>>>>>>>>>>========================<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<============>>>>>>>>>>>>>>>>>>>>>>>>;;;;;;<<<<<<======>>>>>>>>>>>>============>>>>>>>>>??????>>><<<===???BBB??????>>>>>>>>>>>>======BBBBBBAAA>>><<<;;;<<<>>>======<<<<<<<<<<<<======<<<===>>>>>>======>>>???<<<<<<============<<<<<<===>>>@@@@@@??????AAACCCAAAAAA@@@@@@@@@@@@@@@???BBBBBBBBBBBBAAA@@@???>>>@@@@@@@@@@@@????????????@@@???>>>=========>>>>>>============>>>>>>>>>>>>BBBAAA@@@>>>===<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;======<<<;;;<<<===>>>???>>>===<<<<<<<<<===>>>???999;;;;;;===CCCIIIIIIDDD===???AAAAAA???===>>>???????????????>>>>>>>>>>>>>>>>>>===<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<===>>><<<<<<<<<;;;<<<======>>>>>>===<<<<<<;;;;;;<<<<<>><<<<<<<<<===>>>???AAABBBAAAAAAAAA@@@@@@@@@@@@@@@CCCCCCBBB@@@>>>===<<<;;;>>>>>>>>>>>>>>>???@@@AAA???????????????@@@@@@@@@=========>>>>>>>>>>>>???:::;;;<<<===>>>???@@@AAA===<<<<<<<<<<<<===>>>>>>======<<<<<<======>>>???KKKKKKJJJIIIHHHFFFFFFEEEEEEEEEEEEDDDDDDCCCCCCCCCEEEDDDCCCBBBAAAAAAAAAAAACCCCCCCCCCCCCCCCCCCCCCCCBBBBBBBBBCCCCCCCCCCCCCCC@@@AAAAAABBBCCCCCCDDDDDDDDDDDDDDDDDDDDDCCCCCCCCCCCCCCCBBBBBBAAABBBBBBBBBBBBBBBBBBAAAAAAAAA@@@@@@BBBBBBAAAAAA@@@???>>>>>>@@@@@@@@@@@@@@@@@@@@@@@@CCCCCCCCCCCCCCCBBBAAA@@@@@@@@@@@@@@@@@@@@@@@@@@@;;;;;;;;;;;;;;;;;;;;;;;;========================;;;<<<<<<======<<<<<<;;;<<<===>>>?????????======<<<<<<<<<<<<<<<<<<<<<<<<@@@???>>>>>>>>>>>>???@@@>>>>>>>>>>>>======<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<>>>>>>>>?????????>>>>>>>>>>>>>>>>>>>>>>>><<<======>>>>>>======<<<>>>>>>==================<<<<<<<<<<<<<<<<<<<<<<<<<<<>>>@@@BBBBBB@@@>>>===>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>???@@@@@@???>>>>>><<<<<<<<<<<<<<<<<<<<<<<<<<<===>>>???@@@@@@??????===============>>>???@@@@@@@@@@@@@@@@@@@@@@@@@@@<<>>>>>BBBAAA?????????@@@AAAAAA@@@@@@@@@@@@@@@@@@@@@@@@;;;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;===>>>???@@@@@@>>>>>>???@@@@@@AAAAAAAAA@@@@@@@@@@@@@@@@@@@@@@@@AAAAAA@@@?????????@@@@@@@@@AAACCCDDDDDDCCCAAA@@@????????????@@@@@@@@@@@@AAAAAAAAAAAAAAA@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@==============================<<<<<<<<<<<<======CCCBBB@@@???>>>>>>???@@@?????????>>>>>>?????????>>>>>>===============<<<<<<<<<<<<=========>>>>>>>>>>>>????????????@@@@@@<<<<<<===>>>???@@@@@@AAA@@@@@@????????????@@@@@@???@@@@@@???>>>>>>???AAAAAAAAAAAAAAAAAA@@@@@@@@@FFFFFFDDDAAA>>>>>>???AAA@@@@@@????????????@@@@@@>>>???AAAAAA@@@@@@AAACCC>>>??????@@@@@@??????>>>;;;===>>>>>>======>>>???==================<<<<<<@@@@@@@@@@@@???===<<<;;;?????????>>>>>>>>>======;;;;;;::::::::::::999:::;;;;;;;;;;;;;;;;;;;;;;;;???>>>===<<<:::999888888:::999888777777888999::::::999888777777999:::;;;:::999999999999:::;;;<<<;;;<<<<<<===AAAFFFDDD???DDDCCCBBB@@@===;;;;;;;;;=========<<<<<<;;;;;;;;;::::::999888888888888888888888888888888888888888999888888777888:::<<<===999999999999999:::;;;;;;<<<;;;::::::999999::::::;;;;;;;;;<<<<<<;;;;;;:::<<<<<<<<<<<<===>>>???@@@?????????>>>>>>>>>>>>>>>??????>>>===;;;:::999888;;;::::::::::::<<<>>>???:::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;777888999:::;;;<<<<<<===::::::::::::;;;;;;;;;<<<;;;;;;;;;;;;;;;;;;;;;;;;kkkkkkjjjiiigggfffeeeeee``````____________^^^^^^___^^^]]][[[ZZZZZZZZZZZZVVVVVVVVVVVVVVVVVVVVVVVVUUUUUUUUUVVVVVVVVVWWWWWWWWWXXXXXXYYYZZZ[[[\\\\\\YYYYYYXXXWWWVVVUUUUUUTTTTTTTTTSSSRRRRRRRRRRRRRRRQQQQQQQQQPPPPPPPPPOOOOOOPPPOOOOOONNNMMMLLLLLLKKKIIIIIIIIIIIIIIIIIIIIIIIILLLLLLLLLLLLKKKJJJIIIIIIHHHHHHHHHHHHHHHHHHHHHHHHMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMJJJJJJKKKKKKKKKKKKJJJJJJIIIJJJKKKLLLLLLKKKJJJIIIHHHHHHHHHHHHHHHHHHHHHHHHJJJJJJJJJIIIIIIJJJJJJJJJFFFFFFFFFFFFEEEEEEEEEEEEEEEEEEDDDDDDDDDCCCCCCCCCGGGGGGGGGGGGGGGGGGGGGGGGHHHGGGFFFEEEEEEFFFGGGHHHHHHHHHHHHHHHHHHIIIIIIIIIGGGGGGGGGGGGGGGGGGGGGGGGDDDDDDEEEEEEEEEEEEDDDDDDBBBBBBCCCDDDEEEFFFFFFFFFBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCFFFGGGGGGEEECCCAAABBBBBBBBBBBBBBBBBBBBBBBBAAAAAAAAABBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA??????@@@@@@@@@@@@@@@@@@CCCBBBBBBBBBBBBCCCCCCDDDCCCCCCCCCCCCCCCCCCCCCCCC@@@CCCEEEFFFEEECCCBBBBBBCCCCCCBBBAAAAAABBBCCCDDDCCCCCCBBBAAA@@@@@@??????????????????????????????===>>>???@@@AAABBBCCCDDD@@@@@@AAAAAABBBBBBCCCCCCAAAAAAAAAAAAAAAAAAAAAAAABBBAAAAAAAAAAAABBBBBBCCCAAACCCEEEFFFFFFDDDBBBAAAAAAAAA@@@@@@@@@@@@@@@@@@CCCCCCCCCCCCCCCCCCCCCCCCBBBBBBBBBBBBBBBBBBBBBBBB@@@@@@@@@@@@@@@@@@@@@@@@??????>>>>>>>>>>>>??????DDDCCCAAA@@@@@@@@@AAAAAA@@@???>>>>>>>>>>>>???@@@BBBBBBAAAAAAAAA@@@@@@@@@>>>>>>?????????@@@@@@@@@@@@@@@@@@AAAAAAAAABBBBBB>>>>>>??????@@@AAABBBBBBAAAAAA@@@@@@@@@@@@AAAAAABBBCCCDDDCCCBBBAAACCCDDDCCCCCCDDDDDDDDDDDDDDDDDDIIIHHHGGGDDDAAAAAACCCEEEDDDCCCCCCBBBBBBCCCCCCDDD@@@BBBCCCCCCBBBBBBCCCEEECCCDDDDDDEEEEEEDDDDDDCCCBBBCCCEEEDDDBBBAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBCCCCCCCCCCCCBBBAAA@@@???CCCCCCCCCCCCBBBBBBBBBAAAAAABBBAAAAAAAAAAAA@@@@@@CCCCCCCCCBBBBBBBBBBBBBBBEEEDDDDDDCCCBBBAAA@@@???AAA@@@???>>>>>>???@@@AAA??????>>>>>>>>>???@@@AAA@@@??????@@@@@@@@@AAAAAA>>>@@@@@@BBBGGGNNNMMMIIIYYYRRRJJJEEEDDDDDDAAA>>>CCCCCCCCCBBBBBBAAAAAAAAA@@@???>>>>>>===>>>>>>>>>========================???>>>>>>>>>???@@@BBBCCC???????????????@@@@@@AAABBBBBBAAA@@@@@@@@@@@@AAA@@@AAABBBBBBBBBBBBAAAAAAFFFEEEEEEDDDDDDEEEEEEEEEGGGGGGFFFFFFFFFEEEEEEEEEDDDCCCCCCCCCCCCBBBBBBBBBBBBBBBAAAAAABBBDDDFFFGGGBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB????????????????????????BBBBBBBBBCCCCCCCCCCCCCCCAAAAAAAAAAAAAAAAAA@@@@@@}}}}}}||||||||||||}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}yyyyyyyyyyyyyyyyyyyyyyyyvvvvvvwwwwwwwwwwwwvvvvvvrrrssstttvvvwwwxxxyyyyyyssssssssssssssssssssssssqqqrrrtttttttttsssqqqpppnnnnnnnnnnnnnnnnnnnnnnnnlllllllllllllllllllllllljjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjiiiiiiiiiiiiiiijjjjjjhhhhhhhhhhhhhhhhhhhhhhhhfffhhhjjjkkkiiihhhhhhhhhfffffffffeeecccdddfffhhhffffffeeedddbbbaaa```___````````````````````````\\\\\\]]]^^^___```aaabbb______^^^^^^^^^___``````^^^^^^^^^^^^^^^^^^^^^^^^[[[[[[[[[[[[\\\]]]]]]^^^\\\]]]_________^^^\\\[[[[[[[[[[[[ZZZZZZZZZZZZYYYXXXXXXXXXXXXYYYYYYYYYYYYWWWWWWWWWWWWWWWWWWWWWWWWZZZZZZZZZZZZZZZZZZZZZZZZYYYYYYXXXXXXXXXXXXYYYYYY[[[[[[ZZZYYYYYYYYYZZZZZZWWWVVVTTTTTTTTTTTTVVVWWWWWWVVVVVVUUUUUUTTTTTTTTTRRRRRRRRRRRRSSSSSSSSSTTTRRRRRRSSSSSSTTTTTTUUUUUUOOOOOOPPPPPPQQQQQQRRRRRRQQQQQQPPPPPPPPPPPPQQQQQQPPPQQQRRRQQQPPPOOOPPPQQQMMMMMMNNNNNNNNNNNNOOOOOOPPPPPPPPPNNNLLLLLLMMMOOOMMMMMMLLLLLLLLLLLLMMMMMMJJJKKKLLLLLLKKKKKKLLLMMMHHHIIIIIIJJJJJJIIIIIIHHHLLLNNNOOOOOOMMMKKKJJJJJJLLLLLLMMMMMMMMMMMMNNNNNNKKKKKKKKKKKKKKKJJJIIIIIIKKKKKKKKKKKKJJJJJJJJJJJJHHHHHHIIIIIIHHHHHHGGGFFFIIIIIIIIIHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHGGGFFFEEEDDDCCCBBBAAAAAABBBCCCDDDCCCCCCCCCDDDDDDDDDDDDDDDCCCCCCDDDDDDDDDEEEEEEEEE???AAACCCFFFOOOYYY\\\ZZZ```VVVKKKFFFFFFFFFDDD@@@DDDDDDDDDDDDCCCCCCCCCCCCAAA@@@@@@??????@@@@@@@@@????????????????????????????????????@@@@@@AAABBB???????????????@@@@@@AAABBBAAAAAA@@@@@@@@@@@@@@@AAABBBCCCCCCCCCCCCCCCCCCEEEEEEDDDCCCCCCCCCCCCCCCGGGGGGGGGFFFEEEEEEDDDDDDAAABBBBBBBBBCCCCCCDDDDDDBBBBBBBBBBBBCCCDDDEEEEEEDDDDDDDDDDDDDDDCCCCCCCCCBBBBBBBBBBBBAAAAAAAAAAAADDDDDDCCCCCCBBBAAA@@@@@@@@@@@@AAABBBBBBBBBBBBBBBBBBBBBCCCCCCCCCBBBAAAAAA~~~~~~}}}}}}||||||||||||}}}}}}|||}}}~~~}}}{{{{{{{{{}}}vvvwwwwwwxxxxxxwwwwwwvvvooorrrttttttsssqqqqqqqqqqqqqqqqqqqqqrrrrrrrrrsssnnnoooooopppppppppppppppoooooonnnnnnnnnmmmmmmmmmiiiiiijjjjjjjjjiiihhhggghhhhhhgggggggggfffffffffdddeeefffggggggfffeeedddbbbbbbaaaaaaaaaaaabbbbbb___```bbbcccccccccaaa`````````aaaaaabbbbbbaaaaaa^^^______aaajjjtttxxxvvvooojjjccc___^^^^^^]]]\\\\\\\\\\\\\\\\\\\\\]]]]]]ZZZYYYYYYXXXYYYYYYZZZZZZXXXXXXXXXXXXXXXXXXXXXXXXUUUVVVVVVWWWWWWWWWVVVVVVUUUUUUUUUUUUUUUVVVVVVWWWVVVVVVUUUTTTTTTTTTTTTTTTUUUUUUVVVWWWWWWWWWWWWWWWUUUUUUTTTTTTTTTUUUVVVVVVXXXXXXWWWWWWVVVUUUUUUTTTRRRSSSSSSSSSTTTTTTUUUUUURRRSSSSSSTTTTTTSSSSSSSSSTTTTTTSSSSSSSSSRRRRRRRRRQQQQQQQQQPPPPPPPPPOOOOOOTTTTTTTTTSSSRRRQQQQQQPPPLLLMMMNNNOOOPPPOOOOOONNNOOOPPPPPPQQQPPPOOONNNMMM