BM6P6(@ [[[aaafffiiilllnnniiibbbZZZRRRIIIGGGIIIKKKIIIFFFCCC@@@<<<777333000//////---......///000/////////------,,,,,,,,,,,,++++++***+++,,,---...---,,,,,,++++++,,,,,,---...//////000000//////.........---------------------------000///...---,,,------...------,,,,,,+++***)))))),,,,,,,,,,,,+++)))(((&&&''''''((((((((((((''''''((((((((((((((((((((((((***)))''''''((()))))))))((((((((((((((((((((((((''''''''''''''''''''''''))))))))))))************************)))(((&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''((((((&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%(((((('''''''''&&&&&&&&&''''''''''''''''''''''''))))))((('''&&&&&&%%%%%%(((((('''''''''&&&&&&&&&(((''''''&&&&&&((()))***)))((('''&&&%%%&&&&&&'''(((''''''&&&&&&((()))***###'''+++,,,)))((((((***))))))))))))))))))))))))******))))))(((((('''''')))((('''''''''(((***+++(((((('''(((((()))***+++(((((())))))))))))((((((*********)))))))))))))))++++++++++++++++++++++++++++++,,,---......//////---------------------------...///...---,,,---......///000111222333444444222222111111111111222222000222444666999>>>DDDIIIYYYeee|||}}}tttlllfffbbb^^^[[[VVVUUUTTTUUUWWWXXXXXXWWWXXXZZZ\\\\\\[[[^^^cccgggpppqqqtttuuutttqqqmmmkkkgggdddbbbbbbdddeeedddbbbbbb___[[[ZZZ[[[\\\[[[YYYXXXUUUQQQOOONNNNNNLLLKKKIIIGGGEEEEEEFFFGGGFFFEEEDDDDDDDDDEEEGGGJJJLLLNNNNNNOOOPPPRRRVVV[[[___bbbeeegggiiillloooqqqssssssqqqooommmllllllnnnqqqsssxxxtttnnnjjjhhhddd^^^ZZZYYYXXXVVVVVVYYY]]]bbbfffkkkggg```[[[WWWSSSPPPNNNJJJHHHEEECCCAAAAAABBBBBBDDDDDDCCCDDDEEEGGGIIIKKKLLLKKKIIIHHHGGGGGGHHHHHHHHHIIIJJJJJJJJJKKKOOOQQQSSSSSSTTTYYY```hhhnnnqqqwwwqqqiiiaaa\\\XXXUUUSSSQQQQQQQQQQQQPPPOOONNNNNNRRRUUUYYY^^^aaa___[[[WWWLLLIIIGGGFFFGGGIIIIIIIIILLLLLLJJJFFF???999555333------,,,,,,,,,,,,++++++******++++++++++++******))))))(((((((((((())))))))))))))))))))))))))))))%%%%%%&&&'''((()))******&&&'''((())))))***))))))))))))))))))))))))))))))(((((('''''''''&&&&&&&&&))))))(((((('''''''''&&&((('''&&&%%%%%%&&&((()))))))))))))))))))))))))))))))))(((((((((((())))))((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''((('''&&&&&&'''((('''&&&\\\aaafffiiimmmpppmmmfff\\\UUUMMMJJJKKKJJJEEE@@@<<<:::777333111/////////,,,---......//////......------,,,,,,,,,,,,++++++***+++,,,---------,,,,,,,,,,,,------...//////000000/////////.........---------------------------///...---,,,++++++,,,---------,,,++++++***))))))***++++++++++++)))((('''))))))************))))))(((((((((((((((((((((((((((((((((((((((((('''&&&((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''((((((((()))***))))))''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%$$$&&&&&&''''''''''''&&&&&&((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))(((((('''&&&&&&%%%%%%(((((('''''''''&&&&&&&&&(((''''''&&&'''((()))***)))((('''&&&%%%&&&&&&'''(((''''''&&&'''((()))***&&&(((******)))(((((()))(((((((((((((((((((((((())))))))))))(((((('''''')))(((((('''((()))***+++((((((((((((((())))))***(((((())))))))))))((((((***)))))))))))))))))))))++++++++++++++++++++++++(((((())))))******++++++------,,,,,,,,,,,,,,,,,,---...///...---,,,---...---......///111222222333222111111000000111111222111222444444666:::???CCCIIIRRRddd{{{yyyrrrkkkfffbbb]]][[[XXXVVVWWWXXXYYYXXXYYYZZZ[[[ZZZXXXZZZ]]]aaaiiijjjmmmoooooommmkkkiiieeebbbaaabbbeeeffffffeeebbb___\\\\\\\\\[[[YYYWWWYYYWWWSSSRRRQQQQQQPPPOOOOOOMMMJJJIIIIIIIIIGGGFFFDDDDDDDDDDDDFFFHHHJJJKKKKKKKKKKKKLLLNNNQQQTTTVVVYYY[[[]]]```ccceeefffgggeeedddaaa_________aaabbbccc```\\\YYYXXXUUUQQQNNNOOONNNMMMMMMOOOSSSXXX[[[^^^ZZZTTTOOOLLLJJJGGGEEECCCBBBAAA??????@@@AAABBBEEEEEEFFFGGGIIILLLNNNOOOQQQOOOMMMKKKIIIHHHHHHHHHHHHIIIJJJJJJKKKLLLPPPRRRUUUUUUWWW[[[bbbiiiooorrrsssmmmcccZZZTTTOOOLLLKKKLLLMMMNNNNNNOOOOOONNNNNNQQQRRRVVVZZZ]]]\\\YYYVVVQQQNNNJJJGGGGGGHHHIIIIIILLLKKKHHHCCC<<<666222111------,,,,,,,,,++++++++++++++++++,,,,,,+++++++++******))))))))))))******))))))))))))))))))))))))&&&&&&''''''((()))))))))&&&''''''(((((((((((('''(((((((((((((((((((((((((((((('''''''''&&&&&&&&&)))))))))((((((((((((((()))((('''&&&&&&&&&&&&&&&(((((((((((((((((((((((())))))(((((((((((())))))((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''&&&&&&'''''''''&&&YYY^^^cccfffkkkooonnniii___YYYQQQMMMJJJFFF???999555333111///............+++,,,------......------------,,,,,,,,,,,,++++++***+++,,,---------,,,,,,------......//////000000/////////...............---------------------------,,,,,,++++++++++++,,,,,,,,,,,,+++******))))))((())))))******))))))((())))))************))))))((((((((((((((((((((((((''''''((()))((('''&&&%%%((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&'''((())))))))))))(((((((((((((((((((((((((((&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%$$$'''''''''(((((('''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((((((((('''&&&&&&%%%%%%'''''''''''''''&&&&&&&&&(((''''''''''''((())))))(((((('''&&&&&&&&&&&&'''(((''''''''''''((())))))***((('''((())))))((('''(((((((((((((((((((((((()))))))))(((((((((((('''((((((((((((((()))******)))))))))((((((((((((((((((((())))))))))))(((((())))))))))))))))))******************************+++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,---......---,,,---///------......///000111111222111111000000111111222222333333333333555999<<<>>>CCCNNN```sssyyyrrrmmmhhhccc]]]YYYXXXYYYZZZZZZ[[[[[[ZZZXXXWWWWWWYYY[[[aaaccceeeggghhhgggfffeeeaaa```___aaadddhhhiiiiiihhhgggfffeeedddaaa]]]ZZZ\\\ZZZWWWVVVVVVVVVUUUTTTVVVTTTQQQOOONNNMMMJJJIIIIIIIIIHHHGGGGGGHHHIIIJJJIIIHHHGGGGGGGGGHHHJJJKKKMMMOOOQQQSSSUUUWWWXXXXXXYYYWWWTTTQQQPPPOOOPPPPPPNNNLLLJJJIIIIIIHHHEEEDDDEEEDDDCCCCCCEEEIIILLLOOOPPPLLLGGGDDDBBBAAA@@@???????????????@@@BBBDDDEEEFFFHHHJJJMMMPPPRRRTTTUUUVVVUUURRROOOMMMKKKJJJIIIIIIJJJLLLLLLLLLNNNRRRTTTUUUWWWYYY]]]ccciiiooorrrppphhh]]]SSSLLLIIIGGGFFFGGGHHHJJJLLLNNNOOOPPPPPPQQQQQQSSSUUUWWWWWWUUUSSSTTTOOOJJJGGGFFFGGGHHHHHHKKKHHHCCC===777222///---,,,,,,,,,,,,+++++++++++++++,,,,,,,,,,,,,,,,,,+++************************))))))))))))))))))))))))((((((((((((((((((((((((&&&'''''''''''''''&&&%%%(((((((((((((((((((((((((((((((((''''''''''''&&&((((((((((((((()))))))))))))))(((((('''&&&$$$$$$''''''''''''''''''''''''))))))(((((((((((())))))((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''SSSXXX\\\```fffkkkjjjfffaaaZZZQQQJJJEEE@@@:::555000000...------,,,------++++++,,,------------,,,------,,,,,,,,,+++++++++++++++,,,,,,,,,---------------------......//////........................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,+++++++++******))))))''''''(((((())))))))))))''''''((((((((((((''''''(((((((((((((((((((((((((((((()))((('''&&&&&&'''((((((((((((((((((((((((''''''''''''''''''''''''(((((()))))))))*********''''''((((((((((((((((((''''''''''''''''''''''''(((''''''&&&&&&''''''(((&&&&&&''''''&&&&&&%%%$$$''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%(((((('''''''''&&&&&&&&&''''''''''''''''''''''''''''''''''''((((((((()))''''''''''''&&&&&&''''''''''''''''''((((((((())),,,)))&&&&&&((()))'''%%%((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))***)))))))))))))))(((''''''(((((())))))))))))(((((()))))))))))))))*********)))))))))))))))))))))))),,,,,,,,,,,,,,,+++++++++******++++++++++++,,,,,,+++---......,,,,,,---///------...//////000111111111111000000000000111111222222333222111222555888;;;;;;AAANNN]]]ppp}}}yyyrrrlllccc\\\ZZZZZZ[[[\\\^^^^^^\\\[[[ZZZ[[[]]]___aaaaaabbbbbbbbbaaa______\\\\\\]]]___cccgggkkkmmmnnnoooppppppnnnjjjeeeaaa```^^^[[[ZZZZZZ[[[ZZZYYYZZZXXXUUUSSSRRRQQQOOONNNQQQPPPNNNLLLKKKKKKLLLLLLKKKJJJIIIHHHGGGGGGHHHHHHIIIJJJLLLNNNPPPQQQQQQRRRPPPOOOMMMKKKIIIIIIIIIIIIGGGGGGFFFEEEEEEDDDCCCBBBBBBBBBAAAAAABBBEEEGGGIIIIIIFFFBBBAAA@@@AAA@@@@@@BBBBBBBBBCCCEEEGGGHHHJJJIIIKKKNNNSSSVVVXXXZZZZZZZZZYYYWWWTTTQQQOOOMMMLLLKKKMMMNNNNNNNNNPPPTTTVVVVVVXXX[[[^^^ccciiiooosssppphhh[[[PPPJJJHHHGGGGGGEEEFFFIIILLLPPPRRRTTTUUUTTTSSSRRRRRRSSSRRRQQQOOOOOOKKKGGGEEEFFFHHHIIIJJJHHHDDD===777222...,,,***,,,,,,,,,++++++++++++******++++++,,,,,,++++++***)))))))))******)))))))))(((((((((((((((((((((((())))))((((((''''''''''''((((((((((((''''''&&&%%%((((((((((((((((((((((((((((((((('''''''''''''''&&&&&&&&&'''((((((((()))''''''((()))((('''%%%$$$''''''''''''''''''''''''))))))(((((((((((())))))((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&'''((('''&&&&&&''''''OOOTTTYYY\\\aaafffeeeaaa^^^VVVKKKBBB<<<999666333000000///---,,,,,,++++++***++++++,,,---,,,,,,,,,------,,,,,,,,,++++++++++++++++++,,,,,,,,,------+++,,,,,,,,,,,,,,,---------------...............,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,++++++***************)))'''''''''(((((()))******''''''((((((((((((''''''((((((((((((((((((((((((((())))))'''%%%&&&(((+++((((((((((((((((((((((((''''''''''''''''''''''''))))))*********+++++++++***)))(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$''''''((((((((((((''''''%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''&&&&&&&&&&&&'''''''''''''''''''''&&&''''''(((((((((((((((&&&&&&''''''''''''''''''&&&''''''(((((((((((((((,,,(((%%%%%%((()))'''%%%'''''''''''''''''''''''''''''''''''''''((((((((('''(((((()))))))))))))))))))))******)))((('''&&&(((((())))))))))))(((((((((((())))))************))))))))))))))))))))))))))))))))))))((((((((((((*********++++++,,,,,,,,,+++,,,------,,,,,,---///...//////000000111111111111000000000000000000111000111222222111222555777777666999AAAKKKXXXkkkzzz{{{tttjjjbbb^^^^^^^^^___bbbaaa```aaacccfffhhhjjjiiigggeeebbb___\\\ZZZXXXXXXXXXZZZ\\\```eeejjjnnnqqqssswwwxxxvvvqqqmmmjjjfffdddaaa______^^^]]]\\\[[[YYYWWWVVVWWWWWWUUUTTTUUUTTTRRRPPPOOOOOOOOOOOOMMMLLLLLLKKKKKKKKKKKKKKKKKKKKKMMMNNNOOOPPPPPPPPPMMMLLLKKKJJJJJJJJJKKKKKKJJJJJJIIIHHHFFFEEEEEEEEEDDDDDDDDDDDDEEEFFFGGGHHHIIIGGGDDDCCCCCCEEEEEEEEEGGGGGGHHHHHHIIIJJJKKKLLLLLLNNNRRRVVVZZZ\\\]]]^^^[[[[[[YYYWWWUUUSSSQQQPPPNNNOOOOOOOOOOOOQQQTTTWWWWWWZZZ\\\___cccjjjqqqwwwuuulll^^^RRRJJJFFFEEEEEEEEEGGGJJJNNNRRRUUUWWWXXXXXXUUURRRPPPOOOMMMKKKIIIGGGFFFEEEFFFIIILLLMMMMMMCCC>>>666111...,,,***(((,,,,,,+++++++++*********))))))************))))))''''''((())))))(((''''''(((((((((((((((((((((((()))))))))(((''''''&&&&&&)))))))))))))))((('''&&&''''''''''''''''''''''''((((((((((((((((((((((((%%%%%%%%%&&&&&&'''''''''$$$%%%'''((()))(((''''''''''''''''''''''''''''''))))))(((((((((((())))))((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''%%%'''((((((&&&%%%&&&(((OOOSSSWWWZZZ^^^aaa___YYYTTTMMMBBB999444333222222000000///...---,,,+++******+++,,,,,,------,,,,,,------,,,,,,,,,,,,++++++,,,,,,+++++++++,,,---...+++++++++++++++++++++,,,---------------.........,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------------,,,************************)))(((((((((((()))***+++))))))************))))))((((((((((((((((((((((((%%%'''((('''%%%%%%))),,,((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''((((((((((((+++***((('''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%$$$'''''''''(((((('''''''''%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&'''''''''''''''&&&''''''((()))(((((((((%%%&&&''''''((('''''''''&&&''''''((()))((((((((()))'''&&&'''(((((('''&&&''''''''''''''''''''''''&&&''''''''''''(((((((((''''''((()))))))))))))))(((((()))******)))''''''(((((())))))))))))((((((((((((((()))******++++++***************************************+++++++++******++++++,,,,,,------***+++------,,,,,,---////////////000000111111111111000000//////000000111///111222222111222444666666555777;;;@@@GGGTTT```vvv{{{rrrkkkgggeeedddccceeeddddddggglllqqquuuvvvtttqqqlllfff___ZZZVVVTTTTTTUUUWWWYYY\\\aaagggllltttyyy~~~|||zzzxxxooolllhhheeedddbbbaaa___]]][[[YYYYYYZZZ[[[[[[ZZZWWWVVVTTTRRRQQQQQQQQQRRRNNNNNNNNNOOOOOOOOOOOOOOONNNOOOOOOPPPQQQQQQQQQQQQMMMMMMMMMMMMNNNNNNOOOPPPMMMNNNNNNLLLIIIGGGGGGGGGIIIIIIIIIIIIJJJJJJJJJJJJLLLJJJGGGFFFGGGIIIIIIIIIJJJJJJKKKKKKLLLMMMMMMMMMPPPQQQTTTWWWZZZ\\\^^^^^^\\\\\\[[[ZZZWWWUUUSSSQQQNNNOOOOOOOOONNNOOOQQQTTTWWWYYY\\\^^^aaaiiisss{{{yyypppaaaSSSIIIDDDAAA@@@DDDFFFIIIMMMQQQUUUWWWXXXVVVSSSOOOLLLJJJHHHEEECCCBBBCCCFFFJJJNNNOOOMMMLLL<<<777000---,,,,,,***(((++++++++++++************(((((())))))))))))((((((&&&&&&((((((((((((&&&&&&))))))))))))))))))))))))))))))(((((('''''''''&&&))))))))))))))))))(((''''''''''''''''''''''''''''''(((((((((((()))))))))&&&&&&&&&&&&&&&'''''''''$$$$$$&&&'''((()))))))))''''''''''''''''''''''''))))))(((((((((((())))))((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''%%%''')))(((%%%$$$&&&)))MMMRRRVVVWWWYYY[[[VVVOOOFFFAAA999333000///000000............---,,,+++++++++,,,,,,---------------------,,,,,,,,,,,,++++++,,,,,,+++++++++,,,---...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------.........++++++++++++++++++++++++)))***+++,,,------,,,+++))))))))))))******************)))))))))***++++++))))))************))))))(((((((((((((((((((((((("""'''(((&&&%%%''')))((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&&&&''')))((('''&&&%%%&&&&&&'''''''''''''''''''''''''''%%%$$$$$$######$$$$$$%%%&&&&&&''''''&&&&&&%%%$$$&&&&&&''''''''''''&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&((()))))))))((('''%%%%%%'''(((((((((''''''&&&&&&((()))))))))((('''$$$&&&((()))((('''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&'''((()))***))))))(((&&&''')))*********((('''(((((())))))))))))(((((('''(((((()))******++++++++++++++++++++++++++++++,,,,,,------......//////+++++++++,,,------......)))+++,,,,,,,,,,,,...///......////////////000000000000////////////000000000111222111000000111222555444666999;;;>>>GGGQQQ]]]mmmzzztttpppmmmjjjhhhgggffffffkkkrrryyy}}}~~~}}}yyyqqqiii```ZZZUUUSSSQQQSSSUUUVVVWWW\\\ccchhhqqqwww}}}xxxtttoookkkiiifffdddaaa```^^^]]]]]]^^^^^^^^^]]]YYYXXXVVVUUUUUUUUUVVVWWWRRRRRRRRRSSSSSSSSSRRRRRRRRRSSSSSSTTTTTTTTTSSSSSSQQQRRRRRRRRRRRRSSSSSSTTTRRRSSSTTTQQQNNNLLLLLLNNNOOOOOOPPPPPPPPPOOONNNNNNQQQNNNKKKJJJKKKLLLMMMLLLKKKLLLMMMOOOPPPPPPQQQQQQSSSTTTUUUVVVXXXZZZ\\\]]]___^^^]]][[[XXXTTTQQQOOOMMMMMMMMMLLLJJJJJJMMMOOORRRTTTUUUVVVZZZcccpppyyyxxxoooaaaTTTKKKEEEBBBAAABBBDDDGGGKKKNNNQQQSSSTTTNNNKKKHHHEEEDDDBBB???===>>>AAAFFFLLLNNNKKKFFFAAA666111,,,***,,,---+++(((++++++++++++************))))))************))))))&&&'''((())))))((('''&&&))))))))))))))))))))))))((((((((((((((('''''''''''''''(((((()))((((((((('''''''''''''''''''''''''''((((((((())))))))))))((((((((((((((((((''''''&&&&&&&&&&&&&&&'''((()))(((((((((((((((((((((((())))))(((((((((((())))))((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''$$$'''***(((%%%$$$&&&)))JJJOOOSSSTTTUUUUUUNNNGGG;;;888444000...---......+++,,,,,,---------,,,,,,+++,,,------......---------------,,,,,,,,,++++++---,,,+++***+++,,,---...------------------------,,,,,,,,,------.........++++++++++++++++++++++++((()))***+++,,,,,,+++***)))))))))))))))*********,,,+++***))))))***+++,,,''''''((((((((((((''''''((((((((((((((((((((((((&&&***(((%%%$$$%%%((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%&&&'''((()))(((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&'''''''''''''''''''''&&&&&&&&&'''''''''((((((%%%&&&((()))))))))((('''$$$%%%'''(((((((((''''''%%%&&&((()))))))))((('''!!!%%%)))***(((&&&'''(((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&''')))*********)))(((%%%''')))***+++***)))((((((((())))))))))))(((((('''(((((()))***+++++++++++++++++++++++++++++++++))))))***++++++,,,------++++++,,,------...//////)))+++,,,,,,,,,,,,...///---------...............000000////////////000000000111222111///......///000///111444555777???HHHFFFUUUgggxxx{{{wwwsssnnnkkkhhhfffggglllttt|||}}}tttkkkbbbZZZUUUSSSPPPRRRSSSTTTUUUYYY```fffgggmmmtttyyyzzzzzz{{{}}}~~~zzzuuupppllliiifffcccdddbbb```___``````___^^^\\\[[[ZZZYYYYYYZZZ[[[\\\VVVVVVWWWWWWVVVVVVUUUTTTVVVVVVWWWWWWWWWWWWVVVVVVVVVWWWWWWWWWWWWWWWWWWWWWWWWYYYZZZXXXTTTRRRSSSUUUTTTUUUVVVVVVVVVUUUSSSRRRUUURRROOONNNNNNOOOPPPOOOMMMNNNPPPRRRTTTUUUUUUVVVVVVUUUUUUUUUWWWYYY[[[\\\aaa```___\\\XXXSSSOOOMMMKKKKKKKKKIIIGGGGGGIIIKKKKKKMMMNNNNNNRRR\\\jjjuuussskkk```UUUNNNKKKIIIHHH@@@BBBDDDHHHKKKNNNOOOPPPGGGEEEBBBAAA@@@>>>;;;999<<>>FFFPPP[[[jjjzzzvvvssstttxxx}}}~~~xxxooohhhbbb^^^\\\ZZZZZZWWWUUUUUUXXX\\\___```aaaaaabbbccceeehhhjjjlllooonnnmmmlllkkkkkkkkkkkkkkkjjjhhhfffeeedddeeeeeeeeeeeedddbbbaaa___^^^^^^]]]^^^___`````````______]]]^^^^^^_______________aaa___]]]]]]^^^______^^^___^^^]]]\\\[[[ZZZYYYXXXZZZZZZZZZZZZZZZYYYXXXWWWWWWWWWXXXXXXYYYYYYYYYZZZZZZYYYYYY\\\___bbbddddddfffdddbbb^^^\\\^^^bbbfffkkkiiieee]]]TTTKKKFFFCCCBBBDDDEEEEEEDDDCCCCCCDDDEEEEEEGGGIIIMMMUUU^^^eeegggddd^^^VVVMMMFFFCCCCCC>>>???@@@BBBCCCEEEFFFFFFBBBCCCBBB???;;;888999;;;:::::::::999666333///---+++***************(((&&&+++++++++,,,,,,+++++++++***))))))((((((((()))***''''''(((((()))))))))))),,,+++***)))((((((((((((&&&''''''(((((((((((((((((((((((((((''''''''''''''''''((()))))))))))))))'''(((((((((((((((''''''&&&&&&&&&&&&''''''''''''))))))((('''''''''''''''(((''''''&&&&&&''''''(((&&&'''((())))))((('''&&&(((((((((((((((((((((((()))((('''&&&&&&%%%%%%%%%((((((((((((((((((((((((''''''''''''''''''''''''<<<======<<<999666222000...............---,,,+++******+++,,,,,,---......******+++------.........,,,,,,,,,,,,---------------------------............------,,,,,,---------++++++++++++++++++++++++000...,,,+++,,,,,,+++*********++++++******))))))'''((((((((())))))))))))******************************))))))))))))************)))(((((((((((((((''''''''''''''''''''''''$$$$$$%%%'''(((***+++,,,'''''''''''''''&&&&&&&&&$$$$$$%%%%%%&&&&&&''''''++++++)))((('''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''''''''&&&%%%%%%'''))),,,...''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&$$$%%%&&&&&&%%%######$$$&&&'''(((''''''&&&&&&'''(((((('''&&&'''(((''''''''''''''''''''''''(((((((((''''''''''''''''''(((((())))))(((((('''((((((((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((&&&''''''(((((((((((((((***)))((((((((((((((()))******************))))))((())))))******))))))(((((()))***+++++++++++++++,,,++++++*********++++++///......---------------///............///000000//////000000000000111111111111222222333444444444666777;;;BBBIIITTTeeettt|||vvvppphhhbbb___^^^]]]\\\YYYWWWTTTTTTWWWZZZ\\\\\\\\\\\\\\\]]]^^^___```aaadddddddddddddddeeeeeefffgggfffdddbbbbbbbbbcccdddhhhgggfffeeedddcccbbbaaa^^^___aaacccddddddccccccbbbccceeefffgggggggggfffjjjgggdddbbbbbbcccbbbbbbaaaaaa```^^^]]][[[ZZZZZZ^^^^^^^^^___^^^^^^]]]]]]^^^^^^___```aaaaaabbbbbbcccbbbbbbdddhhhlllnnnoooqqqooolllfffcccbbbdddfffnnnlllggg^^^TTTKKKEEEBBBAAABBBDDDDDDCCCCCCDDDFFFFFFGGGGGGIIILLLRRRYYY___bbbaaa]]]VVVNNNGGGCCCBBB===>>>???@@@CCCEEEGGGIIIGGGFFFDDD@@@;;;999888999999888555222000///......'''((())))))(((''''''((())))))************)))))))))((((((''''''((())))))'''(((((((((((()))))))))************)))(((((('''$$$%%%&&&((()))*********''''''''''''''''''''''''''''''((())))))))))))((())))))))))))((('''&&&%%%&&&&&&&&&&&&'''''''''''')))((((((''''''''''''((((((((((((''''''(((((((((''''''((((((((((((''''''((((((((((((((((((((((((((('''''''''&&&&&&%%%%%%))))))))))))))))))))))))''''''''''''''''''''''''999888777555333111///...,,,,,,------------,,,,,,---------.........//////,,,,,,---...////////////,,,,,,,,,------------...---------......---------......---,,,,,,,,,------************************---+++++++++---......---))))))************))))))((((((((()))))))))************************************))))))))))))******,,,***)))'''''''''((((((''''''''''''''''''''''''$$$%%%&&&'''(((***++++++''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&'''&&&%%%$$$############'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%&&&(((***+++'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''"""!!!!!!###%%%'''&&&%%%$$$%%%&&&(((((('''%%%$$$&&&'''((((((&&&&&&'''((('''''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((((((((''''''''''''''''''((((((((((((''''''&&&&&&''''''(((((((((((((((((((((((((((&&&''''''(((((((((((((((***))))))(((((((((((((((++++++******))))))(((((('''(((((())))))))))))((('''((()))***+++,,,,,,,,,,,,++++++***************+++++++++,,,---...000000......------......///000////////////000000000111111111111111222222222222555555777;;;???EEERRR^^^sss|||sssnnnfffaaa___^^^]]]]]]YYYWWWTTTTTTUUUXXXYYYYYYYYYYYYYYYZZZZZZ[[[\\\\\\]]]]]]]]]]]]]]]^^^___```aaa___]]]\\\\\\]]]___aaadddcccbbbaaa```___^^^]]]ZZZ\\\___bbbeeegggggghhhfffhhhkkknnnpppqqqpppppprrrnnniiifffeeeeeeeeedddddddddcccbbb```___^^^]]]ccccccdddeeeeeeeeeddddddeeeeeefffgggiiijjjkkkkkkkkkjjjiiijjjmmmqqqsssssssssrrrnnniiidddaaabbbccchhhgggccc\\\TTTLLLHHHFFFAAABBBDDDDDDDDDEEEGGGIIIJJJJJJJJJIIIJJJMMMRRRVVV\\\\\\[[[VVVOOOIIIEEEDDDBBBBBBCCCDDDFFFHHHKKKLLLMMMKKKFFFAAA<<<888666666666555222///...---......$$$'''******'''&&&(((***((())))))))))))))))))((('''''''''''''''(((((((((((((((((((((((((((((((((&&&'''((()))((('''%%%$$$$$$%%%&&&((()))*********&&&&&&'''''''''''''''(((&&&'''(((((())))))((((((((((((((((((((('''&&&&&&(((((((((((()))))))))))))))(((''''''''''''((((((((((((''''''''''''(((((('''(((((((((((((((((('''((((((((((((((((((((((((&&&''''''(((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''666555333111000//////...+++,,,------.........---//////.........---------******++++++++++++******,,,,,,---------...............//////......,,,,,,///...---,,,,,,,,,,,,,,,************************+++******+++---...---,,,((())))))*********)))))))))))))))*********++++++******************************))))))))))))******+++***)))'''''''''((()))((((((((((((((((((((((((''''''''''''((((((((((((&&&'''''''''''''''''''''$$$$$$%%%%%%%%%%%%%%%&&&(((''''''&&&''''''(((((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%'''(((((((((''''''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''"""!!!!!!###%%%'''&&&%%%&&&&&&'''''''''&&&$$$###&&&'''((('''&&&%%%&&&(((''''''''''''''''''''''''&&&&&&&&&'''''''''''''''''''''((((((((((((''''''%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&&&&''''''((((((((((((((((((((((((&&&''''''((((((((((((((())))))(((((((((((())))))+++******))))))(((((((((''''''((()))))))))))))))'''((()))***+++,,,,,,,,,++++++***))))))*********+++++++++,,,---...///000---------------......///...////////////000000000//////000000111222222333666444555999;;;>>>FFFPPPWWWfff|||yyytttmmmhhheeecccaaa```\\\YYYWWWVVVWWWXXXXXXXXXVVVVVVWWWXXXYYYYYYYYYZZZZZZZZZYYYYYYYYYZZZZZZ[[[\\\[[[YYYXXXYYY[[[^^^``````___^^^\\\ZZZYYYXXXWWWWWWYYY\\\aaafffjjjmmmnnnmmmpppuuuzzz}}}}}}}}}|||yyyuuupppmmmkkkkkkkkkjjjiiihhhhhhgggfffeeedddcccggghhhiiiiiiiiiiiiiiihhhhhhhhhiiijjjlllmmmnnnnnnkkkhhhffffffhhhkkklllllllllkkkiiieee```^^^^^^___aaa```^^^YYYRRRLLLIIIHHHCCCDDDEEEEEEEEEGGGIIILLLNNNNNNMMMKKKIIIIIIKKKMMMTTTUUUUUUSSSNNNIIIFFFEEEFFFFFFHHHJJJLLLOOORRRSSSQQQMMMGGG@@@:::666444222//////...---,,,+++***)))%%%(((++++++)))(((***,,,))))))************))))))&&&&&&'''(((((((((((((((((((((((('''''''''''''''&&&&&&'''(((((('''%%%$$$&&&&&&'''(((((()))((((((%%%&&&&&&&&&''''''((((((&&&&&&'''(((((((((((((((&&&&&&'''(((((()))(((((((((((((((((())))))))))))((((((''''''''''''(((((('''&&&&&&%%%%%%&&&&&&'''(((((((((''''''((((((((((((((((((((((((((((((((('''''''''''''''&&&$$$$$$''''''''''''''''''''''''''''''''''''''''''''''''222111000...------------,,,,,,---.....................---,,,++++++*********+++++++++++++++******,,,---------............///000111222111111///...///......---,,,,,,,,,,,,************************,,,+++***+++,,,,,,***((((((((())))))******))))))************++++++++++++******************************))))))))))))******))))))(((((((((((())))))(((((((((((((((((((((((())))))(((((('''''''''&&&&&&&&&&&&'''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''''''((())))))'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&((()))+++***)))'''%%%&&&&&&%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&''''''&&&$$$%%%&&&&&&%%%###''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&%%%&&&'''''''''''''''''''''''''''&&&&&&&&&&&&&&&'''''''''&&&''''''((((((''''''&&&$$$$$$%%%%%%&&&'''''''''''''''&&&&&&&&&&&&''''''((((((((((((((((((((((((&&&''''''(((((((((((((((((((((((((((((()))******))))))))))))))))))((((((''''''((()))************((()))***+++++++++++++++)))))))))))))))***++++++...------,,,,,,,,,,,,,,,---,,,,,,,,,,,,---............////////////000000...//////000111222333333444222222666777888>>>EEEFFFPPPcccyyy|||vvvqqqmmmiiidddbbb\\\ZZZWWWVVVVVVWWWVVVUUUTTTUUUVVVWWWWWWWWWWWWVVVWWWWWWWWWWWWWWWXXXYYYYYY[[[YYYXXXWWWXXX\\\___bbb___^^^]]]ZZZXXXVVVTTTSSSUUUVVVYYY]]]ccciiiooorrrtttxxx}}}|||yyytttrrrqqqpppooonnnjjjjjjiiiiiiiiihhhhhhhhhhhhhhhhhhiiiiiihhhggggggddddddeeefffggghhhhhhiiibbb___\\\[[[]]]___``````ccccccbbb___\\\YYYYYYZZZ]]]]]][[[VVVPPPKKKHHHGGGEEEFFFFFFFFFFFFGGGJJJMMMPPPPPPOOOLLLIIIGGGGGGIIILLLMMMOOONNNKKKHHHGGGGGGGGGIIILLLPPPSSSUUUWWWXXXNNNIIIBBB;;;777444111///------...///...---+++***''')))++++++******++++++******++++++++++++******&&&&&&((()))))))))))))))(((((((((''''''''''''&&&(((((()))))))))((((((''''''((((((((((((((('''&&&%%%%%%%%%&&&''''''((((((&&&&&&'''(((((((((((('''%%%&&&'''((())))))))))))&&&&&&&&&&&&''''''''''''(((''''''''''''(((((()))&&&&&&%%%%%%%%%%%%&&&&&&((((((''''''''''''((((((((((((((((((((((((((((((((((((((('''%%%"""''''''''''''''''''''''''''''''''''''''''''''''''//////......------------,,,,,,------...---------,,,,,,,,,,,,,,,,,,,,,+++******+++,,,------------------------............///000333555666666666555//////...---,,,,,,,,,,,,++++++++++++++++++++++++(((((((((***++++++***((('''(((((()))))))))))))))))))))))))))************))))))))))))))))))))))))******))))))))))))******&&&'''((())))))******)))(((((((((((((((((((((((())))))((((((''''''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((('''''''''%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&''')))'''&&&&&&''''''&&&%%%&&&%%%$$$$$$%%%&&&(((***%%%&&&''''''%%%%%%&&&'''''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''&&&''''''((((((''''''&&&%%%%%%%%%&&&'''((((((((('''&&&&&&%%%%%%&&&&&&'''((((((((((((((((((((((((&&&''''''(((((((((((((((''''''''''''(((***+++,,,((((((((()))))))))))))))'''((()))***++++++++++++)))******+++++++++******(((((((((((()))+++,,,---...---,,,,,,++++++,,,,,,,,,,,,,,,+++,,,------............/////////000000000000000111111222222333222000000333444444777<<<@@@DDDOOO```ooo{{{uuuoookkkbbb```]]][[[[[[[[[YYYXXXXXXXXXXXXXXXXXXVVVUUUTTTTTTTTTTTTUUUVVVXXXZZZ[[[XXXWWWUUUUUUWWW[[[___bbbaaa___]]]ZZZWWWTTTRRRQQQRRRRRRSSSVVV\\\cccjjjnnnrrrvvv{{{|||zzzsssqqqnnnmmmlllkkkjjjhhhccccccdddddddddeeeeeeeeeddddddddddddcccbbbaaaaaa[[[[[[[[[\\\\\\]]]]]]]]]YYYVVVSSSRRRTTTWWWXXXYYY]]]^^^^^^\\\YYYWWWVVVWWWZZZZZZYYYUUUPPPKKKIIIHHHFFFFFFFFFEEEEEEFFFIIILLLOOOOOOOOOMMMJJJHHHHHHIIIIIIJJJLLLLLLKKKKKKLLLMMMMMMNNNQQQTTTUUUUUUSSSRRRFFF@@@999555333111000...---------...------,,,,,,***))))))***+++,,,***))))))******++++++******)))&&&'''(((***************(((((('''''''''&&&&&&&&&(((((((((''''''(((((()))''''''((((((((((((''''''$$$$$$%%%&&&&&&'''((((((%%%&&&''''''((((((''''''''''''((((((((((((((('''&&&&&&&&&&&&'''''''''''''''''''''''''''((())))))''''''&&&&&&&&&&&&'''''')))((('''&&&&&&'''((()))((((((((((((((((((((((((''''''(((((('''%%%###"""''''''''''''''''''''''''''''''''''''''''''''''''////////////............+++,,,,,,---------,,,,,,,,,------......//////000$$$%%%&&&(((***+++++++++---------.........//////...111444777:::;;;;;;;;;000///...---,,,+++++++++++++++++++++++++++++++++######%%%(((,,,---,,,+++''''''((()))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((******))))))))))))******$$$&&&(((***++++++******))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&&&&'''''''''(((((('''''''''''''''''''''''')))((('''&&&%%%$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''&&&%%%#########%%%'''(((%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%''')))+++***)))$$$###""""""$$$(((+++...%%%&&&''''''%%%%%%&&&'''''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''&&&''''''''''''''''''&&&&&&&&&&&&'''((())))))***'''&&&&&&%%%%%%&&&&&&'''((((((((((((((((((((((((&&&''''''(((((((((((((((&&&&&&&&&''')))***,,,---''''''(((((())))))******(((((()))++++++,,,,,,,,,******+++++++++******)))'''''''''((()))+++------*********+++,,,---//////,,,,,,++++++,,,,,,---.............../////////000111111111111111111111111333000000222333222333777;;;:::???JJJUUUddd{{{~~~yyynnnkkkiiigggffffffdddbbb]]]]]]]]]\\\ZZZWWWUUUSSSPPPQQQRRRTTTVVVYYY[[[\\\UUUTTTRRRRRRTTTYYY]]]aaaaaa```]]]ZZZWWWSSSQQQOOOOOONNNMMMOOOTTT[[[bbbgggkkknnnsssvvvvvvsssooolllgggeeedddccccccbbb```___[[[\\\\\\]]]^^^^^^______`````````___^^^]]]\\\[[[TTTTTTTTTTTTTTTTTTTTTTTTUUURRROOOOOOQQQUUUWWWXXX\\\]]]^^^\\\YYYWWWVVVVVVVVVWWWVVVTTTPPPMMMLLLLLLFFFFFFFFFEEEDDDEEEHHHKKKMMMNNNNNNMMMKKKIIIJJJJJJJJJKKKMMMNNNNNNOOORRRSSSSSSUUUVVVVVVTTTPPPLLLIII>>>999333//////000///...)))(((''''''''''''((()))+++)))'''))),,,,,,***'''))))))************))))))&&&''')))***+++++++++***(((((('''''''''&&&&&&&&&'''&&&%%%$$$$$$%%%'''(((&&&&&&'''((())))))(((((($$$$$$%%%%%%&&&'''((((((%%%&&&''''''((((((''''''))))))))))))((('''&&&%%%(((((((((((()))))))))***'''''''''''''''((()))***((((((''''''''''''(((((()))((('''&&&&&&'''((()))(((((((((((((((((((((((($$$&&&(((+++,,,---,,,+++))))))))))))))))))))))))''''''''''''''''''''''''//////...------------...---.........---,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++++++++------............------...000555;;;???===888222000000///---+++***((((((+++*********))))))(((((())))))))))))))))))))))))******))))))))))))******************************(((((())))))*********+++,,,++++++***)))(((''''''(((((((((((((((((((((((((((((('''''''''&&&&&&&&&((('''&&&%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''(((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&(((((((((''''''&&&&&&&&&''''''%%%$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$'''%%%$$$$$$%%%'''((((((&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&'''((())))))(((((('''&&&%%%$$$%%%%%%'''''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''&&&&&&###%%%(((***+++***((('''%%%&&&''''''((((((''''''''''''''''''&&&&&&&&&&&&''''''''''''((((((((((((''''''''''''''''''&&&&&&***)))((('''&&&%%%%%%%%%(((((((((((((((((((((((((((((())))))******++++++(((((((((((()))***+++,,,((()))***++++++***((((((+++,,,,,,------,,,,,,+++******))))))******+++,,,000///...---------------......---,,,---...///000000000000000////////////000000000111222222333333222666;;;???FFFRRRbbbnnn~~~zzzuuuttttttrrroookkkjjjgggdddaaa^^^ZZZVVVSSSMMMNNNQQQUUUWWWUUURRRNNNNNNMMMMMMNNNQQQUUUZZZ]]]___^^^\\\ZZZVVVRRRNNNLLLLLLKKKJJJKKKOOOTTTZZZ^^^gggfffggghhhiiihhheeebbb^^^]]]\\\ZZZYYYXXXWWWWWWVVVWWWWWWXXXYYY\\\aaaeeeeeeggggggdddbbbaaa\\\UUURRRQQQPPPPPPQQQSSSUUUVVVPPPOOOOOOPPPSSSXXX]]]```eeeffffffccc]]]XXXXXXYYYUUUTTTUUUXXXZZZXXXPPPJJJGGGFFFEEEDDDDDDEEEFFFGGGJJJJJJKKKKKKJJJJJJIIIIIIIIIHHHHHHKKKOOOSSSVVVWWWZZZXXXUUURRRMMMGGG???:::444333111000......------))))))))))))))))))))))))&&&''''''(((((((((((((((******))))))((((((''''''(((((((((((())))))))))))***)))((((((((((((&&&$$$''''''''''''(((((((((((('''''''''(((((((((((((((%%%%%%&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((%%%%%%%%%&&&'''(((((()))&&&'''((())))))((('''&&&###$$$%%%&&&''')))******%%%%%%&&&&&&'''((())))))((((((((((((((((((((((((&&&%%%%%%$$$%%%&&&'''((((((((()))))))))))))))(((((((((((('''&&&&&&%%%%%%'''''''''(((((((((((()))//////...---------------------......------,,,+++,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,------............------...000333777;;;999555000///...---,,,+++***)))(((************)))))))))((())))))))))))))))))))))))***))))))(((((())))))***************************(((((()))))))))*********++++++***)))((('''''''''(((((((((((((((((((((((((((((('''''''''&&&&&&&&&((('''&&&&&&&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%$$$$$$$$$$$$%%%%%%'''''''''&&&&&&&&&%%%%%%'''&&&%%%$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''%%%$$$$$$%%%''''''(((&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&'''''''''''''''''''''&&&%%%$$$%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&''''''''')))((((((((('''&&&%%%%%%%%%&&&''''''((((((''''''''''''''''''((((((((((((''''''''''''(((((((((((('''''''''''''''''''''''')))(((((('''&&&&&&&&&&&&((((((((((((((((((((((((******))))))(((''''''&&&(((((((((((()))***+++,,,******+++,,,,,,+++***)))++++++,,,,,,,,,,,,++++++******))))))******+++,,,---,,,,,,,,,,,,,,,---...---,,,,,,+++,,,---...///000////////////////////////000000111111222333333444777:::;;;>>>GGGRRR[[[ooo~~~|||rrrppplllgggccc]]]WWWSSSNNNNNNPPPSSSTTTRRRNNNKKKJJJIIIIIIJJJMMMRRRWWWZZZ^^^]]]\\\YYYVVVRRRNNNLLLLLLKKKKKKLLLOOOSSSXXX[[[^^^^^^___aaacccbbb___]]]XXXWWWVVVTTTSSSRRRRRRRRRRRRTTTVVVXXXZZZ___eeeiiillloooooollliiieee]]]TTTRRRQQQPPPPPPQQQSSSUUUVVVRRRQQQPPPQQQTTTZZZ___cccgggiiiiiieee___YYYWWWWWWWWWVVVXXX^^^dddbbbYYYQQQKKKIIIFFFCCCBBBCCCEEEFFFIIIIIIJJJJJJJJJJJJIIIHHHHHHHHHHHHLLLPPPTTTVVVWWWZZZVVVPPPJJJEEE???:::777//////---,,,+++*********))))))))))))))))))))))))''''''((())))))))))))(((***)))))))))((((((((('''(((((((((((()))))))))))))))((('''((())))))'''%%%&&&&&&&&&&&&'''''''''''''''(((((((((((((((((((((***))))))(((&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((()))******+++&&&'''(((((((((((('''&&&$$$%%%%%%&&&'''((())))))%%%%%%&&&&&&'''(((((()))''''''''''''''''''''''''''''''&&&&&&&&&'''((()))'''((((((((('''&&&%%%%%%&&&&&&''''''''''''''''''%%%%%%%%%&&&&&&&&&&&&'''///......---------------------......------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------............------...///000333555444111...,,,,,,++++++***))))))(((************)))))))))))))))))))))))))))))))))))))))((((((''''''(((((()))))))))))))))))))))))))))(((((())))))))))))*********)))((('''&&&&&&'''((((((((((((((((((((((((((('''''''''''''''&&&&&&&&&((('''&&&&&&&&&&&&'''(((''''''''''''''''''''''''((((((''''''&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%&&&&&&&&&&&&%%%((('''&&&%%%$$$$$$%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%&&&&&&'''''')))(((&&&%%%$$$$$$%%%&&&%%%&&&''''''((((((''''''%%%%%%%%%&&&''''''((((((&&&''''''''''''(((((((((''''''''''''''''''''''''((((((''''''&&&''''''((((((((((((((((((((((((((())))))((((((''''''&&&&&&(((((((((((()))***+++,,,+++,,,,,,---------,,,,,,******++++++++++++************))))))******+++,,,************+++,,,---...,,,++++++++++++,,,------//////////////////////////////000111111222222333555666888888888<<>><<<999777111000.........---***(((******)))))))))******+++))))))))))))))))))))))))'''((())))))******))))))(((((((((((())))))))))))(((((((((((())))))))))))+++)))((((((((((((%%%###'''''''''((((((((()))))))))))))))(((''''''&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((())))))))))))))))))''''''&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''''''''''''''((((((((((((((((((((((((''''''((((((((('''&&&&&&###$$$%%%'''(((((()))))))))(((((('''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''...---,,,,,,++++++,,,,,,+++,,,------......------******+++,,,,,,---..................------------------............------+++---...---+++)))***++++++++++++******)))))))))((()))))))))************))))))))))))))))))))))))***))))))(((((())))))***(((((((((((((((((((((((())))))((((((((('''''''''###%%%''')))))))))((((((((((((((((((((((((((((((&&&&&&&&&'''''''''((((((&&&&&&'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''###$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&###'''***)))%%%###$$$&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%$$$$$$""""""$$$%%%&&&&&&%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&''''''((((((&&&'''''''''&&&%%%$$$###%%%&&&''''''((((((''''''$$$%%%%%%&&&'''(((((((((%%%%%%&&&&&&&&&'''''''''%%%%%%&&&&&&'''(((((())))))((((((((((((((())))))(((((((((((((((((((((((())))))))))))))))))))))))******))))))))))))******((((((''''''((()))+++,,,)))******++++++******)))******))))))******+++,,,,,,,,,+++++++++++++++,,,+++,,,---.........------,,,,,,---......///000000......//////000111111111111000///000111222333333555777:::===CCCQQQcccppp~~~yyytttpppmmmiiiggg^^^\\\ZZZXXXYYY[[[^^^aaa^^^^^^^^^]]][[[XXXVVVTTTUUUUUUUUUUUUVVVWWWXXXYYYZZZ\\\aaafffjjjjjjgggddd\\\YYYTTTPPPMMMMMMMMMNNNNNNPPPRRRRRRRRRSSSUUUWWWVVV]]]dddhhhiiiggg^^^TTTMMMLLLJJJIIIIIIJJJLLLMMMNNNMMMMMMMMMNNNOOOQQQSSSXXX[[[\\\XXXPPPGGGBBB@@@CCCGGGNNNTTTXXXWWWSSSOOOGGGFFFDDDDDDEEEHHHKKKMMMTTTWWWZZZ\\\ZZZUUUOOOLLL???===999777666444222000...---,,,,,,---,,,+++)))))))))(((((()))***++++++))))))))))))))))))))))))''''''((())))))))))))((('''((((((((()))))))))***(((((((((((())))))))))))((('''&&&((())))))(((&&&&&&&&&&&&'''''''''((((((***))))))(((''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))))))))))))))))))))((((((((('''&&&&&&'''((((((&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((())))))***)))((('''&&&%%%%%%&&&'''((((((((('''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&'''...---,,,,,,++++++,,,,,,+++,,,,,,---.........---******+++,,,,,,---....../////////...---------,,,---..................---)))+++------***((()))***,,,,,,++++++***))))))((((((((())))))*********+++))))))))))))))))))))))))******))))))))))))******))))))))))))))))))))))))))))))(((((('''''''''&&&###%%%(((***+++***)))'''((((((((((((((((((((((((&&&&&&&&&'''''''''((((((%%%&&&'''(((((('''&&&%%%'''''''''''''''''''''''''''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&''''''(((((((((!!!"""###%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###'''+++)))%%%"""$$$&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%$$$###""" !!!###%%%&&&&&&&&&%%%'''&&&&&&%%%%%%&&&&&&'''"""###$$$&&&(((***+++,,,&&&%%%$$$$$$%%%&&&((()))%%%&&&''''''(((((('''''' """$$$&&&'''(((%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&'''((())))))))))))(((((((((((())))))''''''''''''''''''''''''$$$$$$%%%'''(((***++++++******)))))))))))))))***)))((((((((((((***,,,---******++++++++++++***************)))***++++++,,,))))))))))))***+++,,,---***+++,,,---...---,,,,,,,,,,,,------...///000000......//////000111111111000//////000333666777888555777999999<<>>???@@@CCCGGGLLLQQQSSSVVVXXX\\\]]][[[UUUOOOKKK;;;888444222111000///---///---+++***+++,,,+++******))))))******+++,,,---))))))))))))))))))))))))&&&''''''((((((((((((((('''((((((((())))))******(((((((((((())))))))))))%%%$$$%%%'''***+++***)))%%%%%%%%%&&&&&&&&&''''''***))))))((('''&&&&&&&&&%%%%%%&&&'''((()))***+++(((((((((((((((((((((((('''''''''''''''&&&&&&&&&)))((('''&&&&&&'''((()))&&&&&&&&&'''''''''(((((('''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&)))***+++++++++)))((('''((()))))))))))))))((((((%%%%%%&&&&&&'''((((((((('''''''''((((((((())))))........................---------............///...------,,,,,,------...,,,,,,,,,---------......------------------------///...---,,,+++*********,,,+++***))))))***+++,,,---+++))))))***+++***)))''''''''''''((((((((((((******))))))((((((''''''000...+++)))((((((((()))))))))************))))))&&&'''''''''(((((())))))''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$###"""!!!###$$$$$$%%%%%%$$$$$$############$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%$$$'''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%'''''''''&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&'''((((((###$$$$$$%%%%%%$$$$$$###&&&&&&&&&''''''''''''(((''''''&&&&&&&&&&&&''''''''''''''''''((((((((((((''''''''''''''''''''''''(((((('''''''''&&&&&&&&&%%%%%%%%%&&&'''((())))))''''''''''''((((((((((((***)))((('''&&&%%%$$$$$$(((((((((((((((((((((((())))))))))))******************++++++++++++******''''''((())))))))))))(((((())))))))))))*********,,,,,,+++******+++,,,,,,,,,,,,,,,---------............------...///111222////////////000000000000111111111222333333444444333333444666:::>>>BBBEEEUUU___ooo}}}yyywwwkkkgggdddeeejjjppptttuuuttttttuuutttqqqmmmiiifffccc```\\\XXXVVVVVVXXXYYYXXX^^^fffnnnqqqpppllliiigggaaaZZZVVVVVVTTTOOOKKKKKKKKKLLLMMMMMMNNNNNNNNNUUUWWW[[[aaadddbbb\\\VVVQQQJJJFFFIIIIIIFFFGGGKKKMMMPPPSSSTTTSSSQQQPPPQQQTTTVVVVVVRRRJJJEEEEEEHHHKKKMMMNNNMMMJJJGGGEEEDDDBBBAAABBBFFFLLLRRRVVVXXXYYYYYYYYYWWWRRRJJJBBB===333111///---,,,++++++,,,***)))))))))(((((('''''',,,+++***(((((((((((()))((('''&&&%%%&&&(((***+++)))))))))))))))(((''''''))))))***+++++++++++++++))))))))))))))))))))))))&&&'''(((******((('''&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%'''(((******)))'''&&&'''''''''&&&&&&%%%%%%%%%***)))'''''')))))))))(((''''''(((((('''&&&%%%%%%&&&&&&&&&''''''''''''(((&&&''')))*********)))((()))((('''&&&&&&'''((()))((('''&&&%%%%%%&&&'''((())))))((((((''''''&&&&&&((((((((((((((((((((((((&&&'''''''''(((((())))))........................,,,,,,,,,,,,---------......------,,,,,,------...,,,,,,,,,---------......------------------------...---,,,,,,++++++++++++++++++***))))))***+++++++++)))(((((()))***((('''(((((((((((((((((((((((())))))))))))((((((''''''+++***(((&&&%%%%%%&&&'''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''(((''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&%%%$$$$$$###&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''(((((('''''''''&&&&&&&&&%%%&&&&&&&&&'''(((((((((''''''''''''((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((((((((()))))))))*********)))))))))******))))))))))))******+++,,,+++++++++)))))))))************+++,,,++++++******++++++,,,+++++++++,,,,,,,,,,,,,,,...---------...///000111.../////////000000000000222222222111111111111111444444444555777:::===???GGGOOOZZZfffsss|||yyyqqqmmmjjjjjjooouuuzzz|||~~~~~~~~~|||xxxtttrrrkkkgggbbb\\\YYYXXXYYYZZZ]]]bbbjjjqqqtttrrrnnnkkkgggaaa[[[XXXWWWUUUPPPLLLLLLLLLLLLMMMMMMNNNOOOPPPVVVXXX]]]cccgggeee___ZZZVVVOOOKKKLLLKKKHHHHHHKKKKKKNNNRRRTTTUUUUUUVVVWWWYYY[[[[[[WWWPPPMMMNNNPPPTTTUUUTTTQQQLLLGGGDDDBBB@@@@@@CCCHHHOOOUUUXXXYYYWWWVVVTTTOOOHHH@@@888333000///...,,,+++++++++,,,******)))))))))((((((((('''((()))******))))))((()))((('''&&&&&&''')))***(((((())))))(((''''''&&&((())))))***************))))))))))))))))))))))))&&&'''((())))))((('''&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''&&&%%%'''''''''&&&&&&%%%%%%%%%'''%%%$$$$$$&&&'''&&&&&&''''''(((((('''&&&&&&%%%&&&&&&&&&''''''''''''(((&&&'''((()))***))))))(((((((((''''''''''''((((((((('''&&&&&&&&&&&&'''(((((((((((((((((('''''''''''''''''''''''''''''''''&&&'''''''''((((((((()))------------------------+++++++++,,,,,,,,,------...------,,,,,,------...,,,,,,,,,---------......------------------------,,,,,,++++++++++++,,,,,,++++++***))))))***++++++******)))***++++++)))&&&*********))))))((((((''')))))))))(((((((((((('''((((((&&&%%%$$$%%%&&&'''''''''&&&%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$'''&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%$$$$$$######&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((&&&&&&'''((())))))***+++(((((((((((((((((((((((((((((())))))))))))******(((((())))))))))))((((((******+++,,,,,,,,,,,,+++)))************+++++++++,,,+++************+++,,,+++++++++++++++*********---------------///000000....../////////000000000222222111000000///......444333333333444666777999>>>BBBHHHNNNWWWeeettt~~~}}}yyyvvvssssssxxx}}}xxxtttllleee```^^^^^^___eeejjjqqqwwwyyywwwsssooojjjeee```]]][[[XXXSSSOOONNNNNNMMMLLLMMMNNNPPPQQQZZZ]]]bbbhhhkkkjjjfffbbb^^^XXXSSSRRRPPPLLLKKKLLLKKKNNNRRRUUUWWWYYY\\\^^^```aaaaaa^^^YYYXXXZZZ]]]fffdddaaa[[[UUUNNNHHHDDDBBBCCCFFFKKKPPPSSSSSSRRRMMMKKKHHHCCC<<<555///+++---,,,,,,+++******++++++************))))))))))))$$$&&&)))+++,,,+++)))(((***)))((('''&&&'''((()))(((((((((((((((''''''&&&'''(((((()))))))))))))))((((((((((((((((((((((((&&&'''((())))))((('''&&&))))))))))))))))))))))))''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%$$$'''''''''&&&&&&&&&&&&&&&%%%$$$######%%%&&&&&&&&&'''''''''(((''''''&&&%%%&&&&&&&&&''''''''''''(((&&&'''((())))))))))))(((''''''((((((((((((''''''((('''&&&&&&&&&&&&'''((('''''''''((((((((((((((('''''''''''''''''''''''''''''''''''''''(((((((((------------------------+++,,,,,,,,,,,,---------...------,,,,,,------...,,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,,,,++++++******+++,,,------+++******************+++,,,,,,,,,...///...+++(((,,,++++++***)))(((((('''(((((((((((((((((((((((()))((((((''''''((()))))))))(((''''''''''''((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%$$$$$$######$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((((((((((((&&&''''''((()))***++++++(((((((((((((((((((((((((((((((((((()))))))))***(((((())))))))))))((((((((())))))***************************++++++++++++++++++************+++++++++++++++++++++*********,,,,,,,,,------...//////........./////////000000000000/////////.........333222222222333444555666:::<<<>>>AAAGGGPPP[[[bbbnnnzzz~~~~~~~~~xxxpppkkkiiiiiijjjppptttzzz~~~}}}yyyvvvrrrooojjjfffbbb^^^XXXTTTRRRPPPNNNLLLMMMOOOQQQSSS^^^aaafffkkknnnnnnllljjjfffbbb]]]ZZZWWWSSSOOOMMMNNNPPPTTTWWWYYY]]]```ccchhhiiiiiigggdddeeegggjjjrrroooiiibbb[[[SSSLLLGGGGGGHHHIIILLLMMMKKKFFFCCC>>><<<999666222///---,,,*********)))******************************))))))'''(((***+++,,,+++***)))+++***)))(((''''''(((((((((((()))))))))(((((('''&&&''''''((()))(((((((((''''''''''''''''''''''''&&&''''''((((((''''''&&&))))))))))))))))))))))))(((((((((((((((((((((((()))((('''&&&%%%%%%%%%%%%'''''''''''''''&&&&&&&&&'''&&&%%%%%%((())))))(((&&&'''''''''''''''&&&&&&&&&&&&&&&''''''''''''((('''''''''(((((((((((((((&&&'''((())))))((('''&&&'''''''''&&&&&&'''''''''&&&&&&''''''(((((())))))''''''''''''''''''''''''''''''''''''''''''''''''------------------------------------...............------,,,,,,------...,,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,,,,************+++,,,------*********++++++*********,,,,,,,,,...///...+++(((,,,++++++***)))((((((''''''''''''''''''((((((((())))))((()))))))))******((((((''''''''''''((((((((((((''''''''''''''''''%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%&&&&&&&&&'''''''''((((((((((((''''''''''''''''''''''''&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((((((((((((((((((((()))))))))))))))(((((((((((((((((((((((('''(((((((((((())))))))))))******++++++******)))(((((()))************)))))))))*********+++++++++************************,,,,,,,,,,,,++++++++++++++++++,,,,,,---.....................////////////------........./////////000000111222333444555666444666888:::===BBBGGGJJJTTT^^^lll{{{}}}yyywwwwwwxxxzzz}}}}}}}}}{{{wwwsssmmmggg```\\\YYYVVVRRRNNNNNNPPPTTTVVV___aaaeeehhhjjjlllmmmmmmnnnmmmjjjfffbbb]]]WWWQQQNNNQQQUUUYYY]]]bbbhhhlllsssssssssrrrqqqrrrtttvvvuuupppiiibbb[[[TTTLLLGGGFFFFFFFFFFFFDDD@@@:::666333222000...---,,,------((((((((()))))))))))))))))))))))))))))))))******---,,,++++++******************))))))((((((((((((((())))))******)))))))))&&&&&&'''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&(((((((((((((((((((((((((((((((((((((((((((((((())))))((('''&&&&&&'''''''''''''''''''''''''''''')))'''&&&''')))******)))&&&&&&'''''''''''''''&&&&&&&&&&&&''''''''''''((('''''''''''''''(((((()))&&&'''((())))))((('''&&&&&&''''''''''''''''''&&&&&&&&&''''''(((((())))))'''''''''''''''''''''''''''''''''''''''&&&&&&&&&,,,,,,,,,,,,,,,,,,,,,,,,---------.........//////...------,,,,,,------...,,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,,,,***************+++,,,---)))***++++++++++++***)))******)))***++++++)))&&&*********))))))(((((('''&&&''''''''''''(((((((((''''''''''''''''''''''''%%%&&&''''''''''''&&&%%%((((((((((((((('''''''''$$$$$$%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%'''&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&'''''''''&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''''''''((((((((())))))''''''''''''''''''''''''&&&&&&&&&'''''''''''''''&&&&&&''''''''''''''''''''''''''''''(((((((((((()))))))))(((((('''''''''((((((((((((((((((((((((''''''(((((((((((())))))******++++++++++++******))))))***++++++++++++***((())))))))))))*********))))))***++++++***))))))++++++++++++,,,,,,------)))***+++,,,------------------........./////////,,,,,,---......///000000...///000111333444555555333444666888:::<<<===>>>DDDJJJTTT^^^jjjwwwyyyrrrkkkgggccc___XXXSSSRRRTTTXXX[[[___```aaabbbcccfffkkknnnuuuxxxxxxuuuqqqkkkbbbXXXQQQSSSWWW\\\bbbiiiqqqvvv{{{{{{{{{|||||||||||||||uuuooogggaaa[[[TTTLLLGGG>>>===<<<<<<;;;888444111000///---+++******++++++'''(((((()))))))))(((((((((((((((((())))))))))))...---+++***))))))***+++))))))))))))))))))(((((('''(((((()))))))))))))))&&&''''''(((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((('''''''''''''''((((((((()))'''%%%%%%'''((('''&&&%%%&&&''''''((('''''''''&&&&&&&&&''''''''''''(((''''''&&&&&&''''''((()))''''''((((((((((((''''''&&&&&&'''(((((('''&&&&&&'''''''''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------............------,,,,,,------...,,,,,,,,,---------......+++++++++++++++++++++++++++***************++++++)))***++++++++++++***)))+++)))(((((()))***((('''((((((((((((((((((((((((&&&&&&&&&'''''''''((((((&&&&&&'''''''''&&&&&&%%%%%%&&&((())))))(((&&&%%%(((((((((''''''&&&&&&&&&###$$$$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''((((((''''''%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&'''''''''''''''((((((((((((''''''$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((%%%&&&&&&&&&'''(((((((((''''''''''''((((((((((((((((((((('''''''''&&&&&&(((((((((((((((((((((((('''''''''((((((((())))))))))))************))))))(((((()))************)))''''''((((((((()))))))))((()))***++++++***)))((((((((()))***+++,,,------))))))+++,,,------,,,,,,---------.........//////............////////////...///000111222222333333444444555666999:::;;;:::<<<@@@FFFKKKQQQZZZeeemmm}}}|||wwwsssnnniiiaaaZZZWWWYYY^^^aaaccccccbbb``````dddlllqqq|||yyymmmaaa[[[]]]___bbbfffmmmtttyyy||||||}}}~~~~~~}}}{{{yyypppiii```YYYTTTNNNFFF@@@888666333222222222000///------+++*********++++++(((((()))******)))((('''&&&'''''''''(((((((((((())))))))))))))))))))))))((())))))*********))))))%%%&&&&&&'''((((((''''''''''''((())))))))))))((('''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''((()))(((((('''&&&'''''''''((((((((())))))'''%%%%%%&&&&&&%%%$$$%%%&&&&&&'''((((((''''''&&&&&&&&&''''''''''''(((''''''&&&&&&&&&'''((()))((((((''''''''''''((((((&&&&&&'''(((((('''&&&&&&((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------...------,,,,,,------...,,,,,,,,,---------......++++++++++++++++++++++++++++++***************+++)))***+++,,,,,,+++***)))---+++))))))***+++***)))''''''''''''((((((((((((&&&&&&&&&'''''''''((((((''''''((((((''''''&&&%%%&&&(((+++------+++(((&&&'''''''''&&&&&&%%%%%%%%%######$$$%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%#########$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&"""###$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%#########$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&'''((((((%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((%%%%%%&&&&&&'''((())))))''''''''''''((((((((()))&&&&&&''''''''''''''''''((((((((((((((((((((((((''''''''''''((((((((()))(((((())))))))))))((((((%%%&&&&&&'''''''''''''''''''''''''''((((((((((((((()))***++++++***)))(((&&&&&&''')))***+++,,,---((()))+++,,,------,,,,,,---------.........//////000000000///......------...///000000111000000000111000///111333666777777:::===@@@BBBDDDIIIQQQVVV\\\fffttt~~~|||}}}~~~{{{uuuooofff___\\\]]]bbbeeehhhgggeeeaaaaaafffooovvvuuuggggggggggggggghhhlllrrrvvvyyyyyyzzz||||||zzzwwwttteee]]]TTTMMMHHHBBB999333777333///---------------************+++,,,---...((()))*********)))'''&&&%%%&&&&&&&&&''''''((((((###%%%(((*********(((''''''((()))***************###$$$%%%%%%&&&&&&&&&%%%'''(((((()))))))))))))))(((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&!!!###%%%((()))((('''&&&&&&'''''''''(((((())))))+++)))'''&&&&&&&&&%%%$$$%%%%%%&&&'''((((((((('''&&&&&&&&&'''''''''((((((''''''&&&%%%&&&'''((())))))((('''&&&&&&'''((()))%%%&&&'''(((((('''&&&%%%))))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%............---,,,+++***...------------...//////------------------------///............---------------.........---,,,,,,************************---+++)))'''&&&&&&'''(((''''''(((((((((((('''''''''''''''''''''((()))))))))((('''%%%%%%&&&''''''(((((('''''''''&&&&&&&&&&&&&&&&&&''''''''''''((((((((('''&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%(((((('''&&&%%%$$$$$$###%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''''''''''''''$$$%%%&&&&&&''''''&&&&&&'''&&&%%%$$$###$$$$$$%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%%%%%%%$$$######$$$%%%&&&&&&''''''&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$######&&&******'''$$$'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''''''''((((((''''''&&&&&&&&&%%%%%%%%%(((((((((((())))))))))))(((((((((((((((((((((((((((((())))))))))))(((((()))))))))))))))(((''''''''''''''''''(((((((((((())))))************))))))---***((((((+++,,,+++)))))))))*********))))))(((***)))((((((((()))+++,,,***))))))***,,,...---,,,******+++++++++,,,,,,,,,---....../////////////////////000111111111111000222222333333444555666666555444555777:::>>>AAADDDMMMQQQXXXbbblllyyyyyyxxx{{{}}}wwwmmmeeecccffflllppprrroookkkhhhhhhkkkpppsss{{{uuupppoooooonnnnnnmmmmmmmmmssspppnnnpppqqqoooiiicccVVVNNNCCC===<<<;;;888444///...---+++******+++++++++++++++*********))))))111---***(((******(((&&&((((((((((((((()))******+++******)))))))))((((((''''''&&&&&&&&&&&&''''''%%%'''))))))'''&&&%%%&&&&&&'''''''''(((((())))))))))))))))))))))))))))))---***'''%%%&&&&&&'''&&&&&&&&&&&&'''''''''((((((&&&&&&&&&%%%%%%$$$$$$$$$(((((((((((((((((((((((()))'''%%%&&&)))***(((&&&$$$$$$%%%&&&'''((()))***((('''&&&%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&"""&&&%%%&&&***+++***(((((((((((((((((((((((()))((('''%%%$$$###""""""%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''))))))((((((((('''''''''............---,,,+++***+++++++++++++++,,,------------------------------------------,,,,,,,,,,,,,,,,,,++++++******))))))************************+++)))'''&&&%%%&&&'''(((''''''(((((((((((('''''''''''''''''''''((())))))))))))(((''''''''''''((((((((('''''''''&&&&&&&&&&&&&&&&&&''''''''''''((((((''''''&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%'''''''''&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''''''''''''''$$$$$$%%%&&&&&&&&&&&&&&&%%%&&&''''''&&&%%%$$$###''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%%%%%%%%%%$$$######$$$%%%&&&&&&'''&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&###!!!"""%%%''''''&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%'''((((((((())))))))))))((((((''''''''''''(((((((((((())))))))))))(((((()))))))))))))))(((''''''''''''((((((((()))))))))))))))************))))))(((&&&%%%&&&(((((('''%%%))))))************))))))***)))((((((((()))++++++***))))))***,,,------,,,++++++,,,,,,,,,---------------.../////////////////////000000111111111111111111222222333333444444333333333555777;;;>>>@@@>>>AAAGGGNNNVVV___iiiooo|||zzzyyy|||zzzuuunnnhhhgggkkkqqqvvvwwwuuurrrooonnnnnnoooooozzz}}}|||xxxuuusssqqqnnnkkkhhheeeddddddaaa_________]]]VVVPPPDDD???888444222222000...///...,,,+++******++++++,,,,,,,,,+++++++++******///,,,)))((()))***((('''((((((((((((((()))******)))))))))))))))(((((('''(((((((((''''''((((((((((((***+++***(((&&&&&&&&&''''''''''''((((((((()))))))))))))))))))))))))))---***(((''''''((('''&&&&&&&&&&&&'''''''''(((((('''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((&&&%%%&&&(((((('''%%%'''''''''(((((((((((((((((('''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& %%%(((&&&&&&))))))(((''''''''''''''''''''''''***)))(((&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&''''''(((''''''&&&&&&&&&%%%%%%%%%............---,,,++++++++++++******++++++,,,---------------------------,,,,,,,,,,,,++++++++++++---,,,***(((((((((((()))************************((('''&&&%%%%%%&&&'''(((''''''((((((((((((''''''(((''''''''''''(((((())))))))))))))))))((((((''''''''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''((('''''''''&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%%%%%%%%%%%%%$$$&&&((())))))'''$$$###&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&((($$$ !!!$$$''')))'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$%%%%%%%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%''''''((((((((()))))))))(((''''''''''''''''''((('''(((((())))))(((((('''(((((()))))))))((('''''''''((())))))******))))))((())))))******))))))((()))(((((()))******)))'''))))))************)))))))))))))))((()))******++++++***)))***,,,------,,,,,,,,,,,,,,,---------...------...////////////...000000/////////000111222111111111111111111111111222222222333444777999:::777999<<<@@@DDDIIIPPPUUU^^^ccckkkttt~~~}}}{{{~~~xxxtttoookkkjjjmmmrrruuutttuuuuuuuuussspppllljjjllloootttxxxzzzzzzxxxwwwuuurrrnnnhhhbbb]]]XXXVVVQQQNNNLLLKKKJJJFFF@@@;;;666555222000///............---,,,++++++***++++++,,,,,,,,,,,,,,,++++++++++++***((('''((()))((('''((((((((((((((())))))***(((((()))******)))'''&&&))))))(((((((((((())))))+++,,,---,,,)))'''&&&&&&''''''''''''((((((((((((((((((((((((((((((((((((***(((''''''((((((&&&%%%&&&&&&&&&'''''''''''''''((((((''''''''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''%%%$$$%%%&&&'''&&&%%%******))))))((((((((('''''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$)))***'''&&&((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&%%%%%%%%%&&&''''''''''''''''''''''''(((((((((''''''(((((((((&&&&&&&&&&&&&&&%%%%%%%%%---.........------,,,+++,,,,,,,,,,,,,,,------...------------------------,,,,,,,,,,,,++++++++++++///---+++)))(((((()))***************************''''''&&&&&&&&&'''((((((''''''((((((((((((''''''((((((''''''''''''((()))(((((()))******((('''&&&''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$$$$%%%%%%$$$$$$%%%&&&((())))))(((&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%&&&&&&&&&&&&%%%#########$$$%%%&&&'''((($$$$$$$$$%%%%%%%%%&&&&&&(((%%%""" !!!$$$''')))'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%'''''''''((((((((())))))((('''&&&&&&&&&&&&'''((('''((((((((((((((((((''''''(((((((((((((((''''''(((((()))***+++******)))(((((())))))))))))((((((******+++,,,,,,,,,***)))((())))))************))))))))))))))))))******++++++***)))***,,,---,,,++++++++++++,,,,,,,,,------,,,---......//////......000//////...///000111222111111111111111111111000222222222222333444555666777999:::;;;<<>>===<<<999444000///111111000///...///000---,,,,,,+++++++++******++++++++++++++++++++++++((((((''''''(((((((((((())))))(((((((((((())))))((()))***++++++***(((''')))(((((((((((((((((()))***+++,,,+++)))''''''((('''''''''(((((((((((((((''''''''''''''''''''''''&&&%%%%%%&&&''''''%%%###''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&&&&&&&'''&&&&&&)))))))))(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&***+++'''&&&(((((('''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$#########$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''((((((((((((((((((((((((((((((---------...------,,,,,,,,,++++++++++++,,,------------------------------------------,,,,,,,,,,,,...---***((((((((()))***))))))))))))))))))))))))(((((((((((((((((())))))''''''((((((((((((''''''((((((''''''''''''((((((&&&'''((()))((('''&&&%%%&&&'''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$$$$%%%%%%$$$$$$''''''&&&&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%&&&&&&&&&&&&%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%#########$$$%%%&&&'''((($$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$%%%'''((('''&&&&&&%%%%%%&&&&&&'''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%''''''''''''((((((((((((((('''&&&%%%%%%&&&'''(((''''''((((((((((((''''''''''''(((((((((((('''''''''(((***+++++++++***)))(((((())))))))))))(((((('''((()))))))))((((((((((((((()))***************((()))))))))************,,,*********,,,---,,,+++)))*********++++++++++++,,,------...............///////////////000000111222222222222111111111111222222222222222333333444333555666666666777:::<<<===@@@EEEIIILLLPPPTTTWWWbbbgggnnnuuu|||{{{xxxsssmmmiiigggggghhhiiimmmqqqsssqqqkkkddd___WWWWWWWWWWWWXXXXXXYYYYYYQQQOOOLLLIIIDDDAAA>>><<<777666666555444333000...***,,,------+++******+++++++++++++++++++++******))))))))))))************&&&''''''(((''''''(((((())))))(((((((((((())))))((()))***+++++++++***)))(((''''''&&&&&&''''''((('''((()))(((''''''(((***((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&((((((&&&%%%'''''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''(((((('''''''''(((&&&&&&'''''''''(((((((((%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$((()))&&&&&&(((***)))&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&''''''(((((((((((((((((((((,,,------...------,,,,,,))))))(((((())))))***+++------------------------------------,,,,,,,,,,,,******((('''''''''((()))))))))))))))))))))))))))))))))))))))))))))((((((''''''(((((((((((('''''')))((((((''''''''''''((('''''''''''''''&&&&&&%%%&&&&&&&&&'''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%%%%%%%'''&&&%%%%%%%%%&&&((()))$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$######$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&$$$&&&''''''&&&%%%&&&''''''&&&&&&%%%%%%&&&&&&'''((('''''''''''''''&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&'''''''''(((((((((((('''%%%$$$$$$%%%'''(((&&&''''''((((((''''''&&&&&&&&&'''(((((((((''''''&&&''')))++++++***)))((('''(((((())))))((((((''')))******)))(((((()))+++'''((()))******+++******(((((()))************))),,,+++******,,,,,,,,,***))))))))))))************,,,,,,---............------...///000000000//////111111111111111111222222222222222222222222222222111222333444333444666888444777<<>>===;;;:::888666555444///000000000//////......+++++++++++++++******)))******++++++++++++******((((((((()))))))))))))))%%%'''))))))(((''''''(((***))))))((((((((((((((()))))))))))))))*********''''''&&&&&&&&&&&&''''''%%%&&&&&&&&&%%%&&&(((***((((((((((((((('''''''''''''''''''''''''''''''''((('''&&&''')))******)))'''''''''''''''&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&'''''''''''''''''''''''''''((()))(((''''''((()))%%%&&&&&&&&&''''''(((((($$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###'''(((%%%%%%(((+++***&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&,,,,,,------...------,,,((((((((((((((()))******------------------------,,,,,,,,,,,,++++++++++++(((((())))))))))))******))))))))))))))))))))))))))))))))))))((('''&&&&&&''''''((((((((((((''''''))))))(((''''''''''''''')))(((((('''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&$$$%%%%%%%%%&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&'''&&&&&&%%%$$$######$$$%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$&&&'''&&&$$$###%%%''''''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((((('''%%%$$$$$$%%%'''(((&&&''''''((((((''''''&&&%%%&&&''''''((((((''''''%%%&&&)))***+++***(((&&&''''''((((((((((((''''''***+++***(((&&&'''***---'''((()))******+++++++++'''((()))***+++******))),,,+++******,,,,,,+++***))))))*********++++++++++++,,,------......------+++---///111111000...---/////////000000111111111000111111111111111111000111333444444333444555777222555888:::;;;===???AAA>>>AAAFFFIIILLLNNNRRRTTTUUU[[[ccciiiooowwwwwwooogggbbb```___^^^^^^\\\ZZZUUUOOOJJJFFF@@@???===;;;:::888888888444444333222111000//////,,,---------,,,,,,,,,,,,///,,,)))***---...---+++)))***+++,,,,,,+++***)))(((((())))))************&&&(((+++***(((''''''(((******)))(((((((((((((((((('''&&&&&&&&&''')))***((((((''''''''''''((((((&&&''''''&&&%%%%%%'''))))))((((((((('''''''''''''''''''''''''''''''''''''''&&&$$$%%%''')))***)))(((((('''''''''&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%''')))(((&&&%%%''')))((((((((((((''''''''''''$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###'''((($$$###'''))))))''''''''''''''''''''''''))))))(((''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&'''''',,,,,,------...---------***************++++++,,,------------------------+++++++++************))))))***+++,,,------,,,,,,))))))))))))))))))))))))(((((((((((('''&&&%%%$$$''''''((((((((((((''''''***)))((('''''''''''''''+++***((('''''''''((()))&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&!!!###%%%'''((('''%%%$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''&&&&&&%%%$$$######$$$%%%%%%%%%%%%$$$&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$&&&&&&$$$!!!!!!$$$''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''(((((()))'''%%%######%%%''')))&&&''''''''''''''''''&&&%%%%%%&&&'''((((((((('''$$$&&&(((******)))'''&&&''''''((((((((((((''''''&&&'''%%%""" !!!&&&***''''''(((******+++++++++'''((()))++++++******)))---+++***+++,,,,,,+++*********+++++++++,,,,,,,,,+++,,,------......------***,,,000222222111...,,,,,,------...///000111111//////000000000000000///000111222222111111222444222333444444444555888;;;:::<<>><<<:::888666555444111111111111000000000///////////////////////////---,,,++++++******++++++)))+++,,,,,,***))))))*********))))))))))))******)))((((((((((((((())))))***(((((()))***++++++))))))))))))))))))))))))))),,,***((((((***+++++++++((((((''''''''''''((((((((('''&&&%%%%%%&&&'''((((((((((((((((((((((((((($$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%&&&'''((()))(((&&&&&&''')))+++---'''%%%###$$$''')))'''%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''''''''(((((('''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''(((''''''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((('''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$(((((('''''''''&&&&&&&&&---------...------,,,+++((()))))))))************+++,,,,,,,,,,,,+++******++++++++++++++++++++++++************))))))))))))((((((((((((((((((((((((+++,,,,,,***(((''''''((())))))))))))))))))((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''(((((('''''''''&&&&&&&&&'''''''''&&&$$$$$$%%%'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%$$$$$$######%%%&&&&&&%%%$$$$$$%%%'''$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&"""######$$$$$$######"""$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&''''''((((((''''''%%%&&&&&&''''''&&&&&&%%%&&&'''((('''%%%$$$%%%&&&&&&&&&&&&'''''''''((((((***)))(((''''''''''''((('''''''''''''''((())))))((('''&&&&&&&&&'''((())))))(((((('''''''''(((((())))))))))))************(((((()))))))))************************************+++,,,,,,------,,,,,,***,,,......------...///......------------......------...///////////////000000000111111111222222000000111111111222222222222222222333333333444444666666777888888999::::::888888999:::===@@@BBBDDDCCCGGGJJJJJJHHHIIINNNRRRTTTXXX```iiitttuuukkk\\\PPPIIIDDD@@@<<<;;;:::888666555444333333000000000/////////......---------------------------,,,++++++******++++++***+++,,,,,,***))))))***++++++************++++++)))))))))(((((())))))***---+++)))((('''&&&$$$"""))))))))))))))))))))))))%%%###!!!"""$$$%%%&&&%%%((((((''''''''''''((((((((('''&&&&&&&&&&&&'''(((((((((((((((((((((((((((%%%%%%&&&&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%&&&'''''''''&&&&&&&&&&&&((()))***'''%%%$$$%%%'''((('''%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''''''''(((((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((%%%%%%%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((((((''''''&&&&&&&&&''''''''''''''''''''''''(((((('''''''''&&&&&&&&&---------------,,,++++++))))))))))))***************+++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,((((((((((((((())))))))))))))))))))))))))))))))))))***+++***((('''((()))))))))(((((('''''''''&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&''''''&&&$$$$$$%%%'''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###"""!!! &&&&&&'''&&&%%%$$$&&&(((&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&''''''((((((''''''%%%&&&&&&''''''&&&&&&%%%'''''''''%%%$$$$$$%%%'''&&&&&&'''''''''((((((((((((((('''&&&&&&&&&''''''%%%&&&&&&'''((())))))***(((((('''''''''((()))***))))))((((((((())))))***))))))))))))************(((((())))))))))))*********************************++++++,,,,,,,,,,,,,,,,,,,,,---,,,++++++,,,.........------------......------...////////////...000000000000111111111111000000000111111111222222222222222222333333333333555555555666777777888888555555666777999;;;===>>><<<>>>@@@???======@@@CCCCCCFFFLLLRRRZZZccclllrrr~~~|||zzz|||}}}xxxtttqqqnnnjjjhhh]]]UUUJJJAAA<<<:::666444666555444222111111000000///............---------,,,,,,,,,,,,,,,,,,,,,,,,---,,,++++++******++++++***+++,,,+++***))))))***,,,,,,++++++++++++,,,,,,+++******)))))))))******((('''&&&'''((()))((('''))))))))))))))))))))))))***)))((()))+++---------((((((''''''''''''(((((((((''''''&&&&&&''''''((((((((((((((((((((((((((('''''''''''''''(((((((((%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&'''((((((&&&%%%%%%%%%'''((('''&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&'''''''''((((((((())))))%%%&&&&&&'''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((('''''''''(((((((((((((((((((((((('''''''''''''''&&&&&&&&&,,,------------,,,++++++)))))))))))))))*********((()))***+++,,,,,,,,,,,,++++++++++++++++++++++++,,,,,,+++***)))(((''''''))))))))))))))))))))))))''')))***)))(((((()))***((((((((('''&&&&&&%%%%%%''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&''''''&&&%%%$$$%%%&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$&&&''''''&&&%%%%%%&&&(((((('''%%%$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&''''''''''''&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&###$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%(((((('''%%%######&&&(((''''''''''''(((((((((((('''&&&&&&%%%%%%&&&&&&&&&''''''((()))***++++++,,,(((((((((((()))))))))***((((((((('''(((((())))))((()))))))))************(((((((((((()))))))))*********************************+++,,,,,,,,,,,,+++***+++***)))'''''')))+++...------,,,,,,------...,,,---......//////....../////////000000000111111000000000000111111111111111222222222222333333333333444444444555555555666666666777888999:::;;;;;;;;;===>>>===;;;;;;===???@@@BBBEEEGGGJJJOOOTTTXXXeeeppp{{{~~~yyyqqqmmmgggdddcccbbb```^^^^^^aaaiiiyyy|||tttooobbb___[[[XXXVVVTTTQQQOOOKKKEEE>>>999666555333222111111000////////////000............------------,,,,,,,,,,,,,,,,,,,,,,,,---,,,++++++******++++++***+++,,,+++)))((()))++++++++++++******+++++++++,,,+++******************(((''''''(((+++,,,,,,+++((((((((((((((((((((((((%%%$$$###%%%'''))))))(((((((((''''''''''''((((((((((((''''''''''''((((((((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%%%%%%%$$$%%%&&&'''''''''''''''&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''(((((((((((()))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''',,,,,,------,,,,,,+++*********))))))))))))))))))&&&'''(((***++++++++++++)))))))))))))))))))))))),,,++++++***)))(((''''''(((((((((((((((((((((((('''((())))))(((((()))***((('''''''''&&&&&&&&&%%%((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&'''''''''''''''''''''%%%'''((('''%%%$$$%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''''''''%%%&&&'''&&&$$$$$$&&&'''((('''%%%$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&###$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%(((((('''%%%######&&&((('''''''''((((((((())))))&&&&&&%%%%%%%%%%%%&&&&&&'''''')))***++++++++++++'''(((((()))))))))))))))'''&&&&&&&&&''''''((()))((()))))))))************'''(((((((((((())))))))))))))))))))))))))))))))))))***++++++,,,,,,++++++*********((('''''')))+++------,,,,,,,,,,,,------,,,------...................../////////000000000//////000000000111111111111111111222222222333333222333333333333333444444222333444444555555666666666777888888777888:::;;;;;;<<<===>>>???AAADDDGGGQQQ[[[eeeiiijjjiiieee___[[[WWWSSSOOOMMMLLLJJJIIIMMMOOOXXXgggyyyvvvlllaaaXXXSSSLLLJJJGGGEEEDDDCCCAAA???>>>;;;777555444333333222/////////......//////000//////.........------------------------------------,,,++++++******+++++++++,,,,,,***((((((***+++******))))))))))))******,,,,,,+++***))))))******...,,,***)))***)))'''%%%((((((((((((((((((((((((&&&&&&%%%''')))******(((((((((''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%%%%%%%&&&&&&'''(((((((((''''''&&&&&&''''''''''''(((((('''&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''&&&''''''''''''''''''''''''%%%%%%&&&&&&&&&''''''''')))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''''',,,,,,,,,,,,,,,+++******************))))))))))))&&&'''((()))************))))))))))))))))))))))))&&&&&&''''''(((((())))))(((((((((((((((((((((((('''((())))))''''''((()))''''''''''''''''''''''''((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&'''''''''''''''%%%'''((((((&&&$$$%%%%%%###$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&&&&&&&&&&%%%%%%&&&%%%$$$###%%%'''&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&''''''((((((''''''%%%&&&&&&''''''&&&&&&%%%'''''''''%%%$$$$$$%%%'''''''''((((((((()))))))))&&&&&&%%%%%%%%%&&&''''''%%%&&&((()))))))))((('''&&&'''((()))))))))((((((&&&&&&%%%&&&&&&'''((()))))))))))))))************''''''(((((((((((()))))))))))))))))))))))))))))))))******+++++++++++++++++++++,,,+++******+++---------,,,,,,,,,,,,------,,,,,,---............---............/////////////////////000000000111111111111111111222222222222222222222222222222333333111222333444444555444444444444444555666777888999444666888999:::;;;>>>@@@DDDLLLSSSUUUUUUUUUQQQMMMKKKIIIEEEBBB???>>>>>>>>>BBBEEEMMMYYYeeennnqqqqqqnnnjjjddd\\\SSSKKKDDD@@@@@@>>><<<;;;;;;;;;:::888555444444333222111111000//////............////////////.........------------------------------------,,,++++++******++++++,,,,,,+++***((((((***,,,***))))))))))))))))))***,,,+++***))))))))))))))))))'''&&&'''((()))(((&&&))))))))))))))))))))))))------,,,...///000...---((((((''''''''''''(((((('''(((((())))))(((((('''(((((((((((((((((((((((('''''''''&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%%%%%%%&&&&&&'''''''''''''''''''''(((%%%'''((((((''''''((()))'''&&&&&&%%%%%%&&&&&&''''''''''''''''''&&&&&&&&&'''''''''''''''(((((((((%%%%%%%%%&&&&&&&&&&&&'''%%%&&&&&&'''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&########################%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&'''''''''''''''+++,,,,,,,,,,,,+++******************)))))))))((('''((()))***************))))))))))))))))))))))))&&&&&&'''(((((()))******&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))'''&&&'''(((&&&&&&&&&'''(((((())))))((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&'''''''''((((((%%%&&&((((((&&&%%%$$$%%%$$$$$$%%%%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$'''''''''&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%$$$$$$###$$$%%%$$$###"""$$$&&&$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&&&&''''''((((((''''''&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&''''''((((((''''''%%%&&&&&&''''''&&&&&&%%%&&&'''((('''%%%$$$%%%&&&'''((((((((())))))))))))&&&&&&&&&&&&&&&'''((((((&&&''')))))))))(((&&&%%%%%%&&&'''((()))(((''''''&&&&&&&&&&&&'''((()))***))))))))))))************'''''''''((((((((())))))))))))))))))))))))))))))))))))***+++++++++++++++)))+++,,,---,,,,,,---...---,,,,,,++++++,,,,,,---+++,,,------......------------........./////////////////////000000000111111111111111222222222222222222222222222222222222111222444555666666555555666555555555666888888888333555777888888999;;;===;;;AAAFFFFFFFFFGGGFFFCCC@@@???===:::777777888999:::>>>DDDLLLRRRVVVXXXXXXUUUSSSNNNHHHBBB>>>;;;999888777555555666666666555111222222222111////////////......---------......------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,++++++******++++++,,,,,,+++)))((((((***,,,+++******))))))******+++,,,+++***)))(((((((((((($$$###$$$&&&)))+++,,,+++))))))))))))))))))))))))&&&&&&%%%&&&''''''%%%###((((((''''''''''''(((((('''((()))******)))((('''((((((((((((((((((((((((((((((((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%&&&''''''((('''&&&%%%%%%&&&''''''%%%''')))((('''&&&(((***'''&&&&&&%%%%%%&&&&&&'''(((((('''''''''&&&&&&&&&&&&'''''''''((((((((()))&&&&&&&&&&&&''''''''''''%%%%%%%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&'''''''''(((((((((((((((((((((((((((&&&&&&&&&'''''''''((((((+++,,,,,,,,,,,,+++******+++*********))))))(((((())))))***++++++++++++***************************,,,,,,++++++******))))))&&&&&&&&&&&&&&&&&&&&&&&&((()))))))))'''&&&'''(((%%%&&&&&&'''((()))******))))))))))))))))))))))))'''''''''&&&&&&'''''''''&&&&&&&&&'''''''''(((((($$$&&&((((((&&&%%%$$$%%%%%%%%%&&&&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$(((((('''&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%#########$$$$$$###""""""###%%%"""###%%%&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&###$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&'''''''''&&&$$$$$$%%%%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%'''((((((&&&%%%%%%%%%(((((((((((())))))))))))&&&&&&&&&&&&&&&'''((())))))***+++,,,+++)))'''&&&$$$%%%'''((((((((('''&&&''''''''''''((()))++++++))))))))))))************''''''''''''((((((((()))))))))))))))))))))))))))))))))***++++++++++++***&&&(((+++,,,,,,++++++,,,---,,,,,,++++++,,,,,,---+++,,,------......---------------.........//////////////////000000000000000111111111111222222222333333222222222222222222...///111222333333333333666555444444555555555555333555666555444444555666555;;;>>>======@@@AAA???::::::888666444444555777444999???DDDFFFGGGHHHIIIGGGEEEAAA===:::999999999333222000111222333333222000222333333111///............------,,,,,,------,,,,,,,,,+++++++++******++++++++++++++++++++++++---,,,++++++******++++++,,,,,,+++)))'''(((***,,,,,,++++++++++++++++++,,,+++***)))((('''''''''''',,,***))))))******)))((())))))))))))))))))))))))++++++***+++,,,+++(((&&&((((((''''''''''''(((((('''((()))******)))((('''((((((((((((((((((((((((******))))))((((((((('''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&'''((((((&&&$$$######$$$&&&'''%%%'''))))))'''&&&(((***'''&&&&&&%%%%%%&&&&&&'''(((((('''''''''&&&&&&&&&&&&'''''''''(((((())))))''''''''''''((((((((()))(((''''''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&'''''''''(((((())))))((((((((((((((((((((((((&&&&&&&&&'''''''''((((((+++++++++++++++***)))(((***************)))((((((---,,,,,,+++***)))((((((***)))(((&&&&&&&&&'''(((******))))))((((((''''''&&&'''((((((((('''%%%$$$''''''''''''''''''''''''((((((((('''&&&&&&&&&%%%((((((''''''''''''((((((&&&&&&%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&''')))(((&&&%%%$$$$$$%%%&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$###&&&&&&&&&&&&%%%%%%$$$###'''''''''&&&&&&%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&$$$######$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$#########$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%&&&'''&&&%%%%%%&&&%%%###""""""###%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&'''''''''(((((())))))%%%%%%'''''''''&&&%%%$$$)))***+++***(((''''''((()))'''&&&''')))***'''%%%''''''&&&&&&&&&&&&''''''(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------000//////............///////////////////////////000000000000000000000000111111222222222222111111111111222222222333333333333333333444444444555555555555555444444555555555777777777777777777777777666666666555555444444444444555888===@@@@@@>>>;;;;;;:::999777666444333222111111111111000000000000////////////............,,,,,,,,,,,,+++***)))(((------------------------++++++++++++++++++++++++,,,,,,+++***)))(((''''''************************+++*********))))))(((((()))((('''''''''(((***+++******)))(((''''''&&&&&&************))))))))))))(((((((((((((((((((((((((((((('''&&&&&&&&&&&&&&&&&&&&&'''((()))***++++++''''''(((((())))))******''''''(((((((((((('''''''''&&&%%%%%%%%%%%%&&&'''&&&((()))(((&&&%%%%%%&&&$$$###"""$$$&&&''''''&&&(((&&&$$$###$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&%%%&&&''''''((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((%%%&&&'''(((((('''&&&%%%''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''++++++,,,,,,+++******)))***************))))))(((,,,,,,++++++***)))))))))***)))((('''''''''((((((+++++++++***************(((((())))))(((((('''&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&((((((''''''''''''(((((('''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&'''%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###%%%&&&&&&&&&%%%%%%$$$###''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%&&&'''$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$######$$$$$$%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$######$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&'''''''''((((((((()))&&&&&&''''''''''''&&&&&&''')))))))))'''&&&'''((()))'''&&&''')))***(((%%%''''''&&&&&&&&&&&&'''''''''((((((((())))))))))))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,------------///.............../////////////////////////////////////////////////////////000000111111000000///111111111111222222222222222222333333333444444444555444444333333444444555555555555555555555555555555555444444444333333333333444777;;;>>>>>><<<999888888777555444222111111111111111000000000////////////.........---------------------,,,+++***)))------------------------++++++++++++++++++++++++++++++******))))))((((((************************************)))))))))(((((((((((((((((())))))***'''''''''''''''((((((((()))))))))(((((((((''''''(((((((((((((((((((((((()))(((((('''&&&&&&''''''((((((((((((((((((((()))''''''(((((())))))))))))&&&&&&''''''''''''&&&&&&'''&&&%%%%%%%%%%%%&&&'''%%%'''((((((&&&%%%&&&&&&%%%$$$###$$$&&&''''''&&&((($$$ """&&&)))'''$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%&&&'''((()))''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''&&&&&&'''(((((('''&&&&&&'''''''''&&&&&&''''''''''''''''''''''''''''''''',,,,,,,,,,,,,,,++++++*********++++++******)))(((******************************)))((((((((())))))************++++++++++++******)))(((((((((((()))''''''''''''''''''''''''&&&&&&&&&'''''''''''''''((((((''''''''''''(((((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&%%%%%%$$$######&&&%%%%%%%%%%%%&&&&&&'''%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""$$$%%%&&&%%%%%%'''(((&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''((((((((((((''''''&&&''''''((((((%%%'''((('''&&&&&&'''((((((''''''((())))))(((&&&''''''&&&&&&&&&&&&''''''''''''((((((((()))))))))''''''''''''''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))*********++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......------------...///000000////////////////////////////////////////////////...//////000000//////...000000000000111111111111111111111222222222333333333333222222222222333333222222222222222222222222333333333222222222222222111222555888;;;<<<:::777555555444333222000000///111111000000000000//////............------------------...------,,,+++***------------------------++++++++++++++++++++++++************************************************************))))))))))))'''(((((()))))))))))))))###$$$%%%&&&''')))******((((((((('''''''''&&&&&&(((((((((((((((((((((((())))))((((((''''''((((((((((((((('''''''''&&&&&&'''(((((((((((()))))))))%%%%%%&&&&&&&&&&&&%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$&&&((((((&&&&&&&&&''''''&&&%%%&&&'''((('''&&&((("""!!!(((,,,)))$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%'''((()))***&&&&&&&&&&&&&&&'''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''',,,,,,---------,,,,,,+++***++++++++++++***))))))))))))*********+++++++++*********))))))))))))***''''''(((((())))))*********)))((('''''''''))))))''''''''''''''''''''''''%%%&&&&&&&&&'''((((((((((((''''''&&&&&&''''''((((((((('''&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$###$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''')))((('''&&&&&&''')))***$$$%%%&&&&&&&&&%%%'''((('''''''''((())))))((('''''''''&&&&&&&&&&&&'''''''''''''''((((((((())))))(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))************++++++++++++++++++++++++++++++++++++,,,,,,---------.........,,,,,,,,,---...///000111////////////////////////////////////////////////...//////000000//////...////////////000000000000000000000000111111111111222222111111111111222222111111111111111111111111111111111111111111111111111222333777::::::888666333333222222111000//////111000000000/////////////////////............------.........------,,,+++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++)))))))))******+++++++++*********************************)))))))))))))))&&&''')))*********)))(((###$$$%%%&&&'''((()))***((((((((('''''''''&&&&&&(((((((((((((((((((((((())))))(((((((((((())))))''''''''''''''''''&&&&&&((((((((((((((((((((((((%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&###%%%''''''&&&&&&'''(((((('''&&&&&&'''((('''%%%'''###!!!###(((***(((%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((())))))%%%%%%&&&''''''(((((((((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''((()))***&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''''''''''''''&&&&&&''''''''''''''''''&&&''''''''''''''''''''''''+++,,,,,,------,,,,,,,,,+++++++++++++++***)))))))))))))))***++++++,,,,,,)))))))))************)))''''''(((((())))))******((('''&&&%%%&&&'''((()))''''''''''''''''''''''''%%%&&&&&&&&&'''(((((((((''''''&&&&&&&&&&&&''''''(((((('''&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&%%%$$$###"""$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$######$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''%%%$$$$$$&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%$$$$$$###$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&'''''''''''''''''''''&&&&&&&&&((('''&&&&&&&&&((()))***###%%%&&&&&&%%%%%%&&&(((%%%&&&((((((((((((((((((''''''&&&&&&&&&&&&''''''''''''''''''(((((((((((())))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))))))))*********+++++++++++++++++++++++++++++++++,,,,,,,,,---------......,,,,,,,,,,,,---///000000////////////////////////........................///000000111111000000///....../////////000000000/////////000000000111111111111111000000111111111111111111111111111111111000000000000000000000000111222333666888999888666222222222111111111000000000000000////////////...000000000/////////......------......------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++))))))******++++++,,,,,,************************))))))))))))))))))******&&&''')))*********)))(((&&&&&&&&&'''''''''(((((()))))))))(((((((((''''''(((((((((((((((((((((((())))))(((((((((((())))))%%%%%%&&&&&&'''(((((()))((((((((('''''''''''''''''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&###%%%&&&'''&&&&&&&&&'''((('''&&&&&&'''((('''%%%%%%&&&''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&%%%%%%'''(((((((((((('''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''((()))***&&&&&&&&&&&&&&&&&&%%%%%%'''''''''&&&&&&'''''''''&&&&&&'''(((((('''&&&&&&''''''''''''''''''''''''***++++++,,,,,,,,,,,,,,,+++++++++,,,++++++***)))))))))******+++++++++,,,'''((()))*********))))))************++++++++++++'''&&&&&&&&&&&&''''''(((''''''''''''''''''''''''&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&''''''(((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''&&&&&&&&&&&&%%%$$$###"""$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%)))***+++)))'''&&&'''(((&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%$$$$$$######$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))$$$&&&'''&&&%%%%%%&&&'''$$$&&&((()))(((((((((***''''''&&&&&&&&&&&&''''''&&&&&&'''''''''(((((((((************************)))))))))))))))))))))))))))))))))))))))))))))))))))))))))************++++++++++++++++++++++++++++++++++++,,,,,,,,,------,,,,,,,,,,,,---...//////////////////////////////........................///000000111111000000///////////////000000000000/////////000000000111111111111000000000000111111111111111111111111111111////////////000000000000111111222444777777666555222222111111111111111111000000////////////......000////////////.........,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++*********+++++++++,,,,,,************************))))))))))))************'''(((((()))))))))))))))(((((((((((((((''''''''')))))))))(((((((((''''''((((((((((((((((((((((((((((((''''''(((((())))))$$$%%%&&&'''((()))******(((((((((''''''''''''&&&'''(((((((((((((((((('''%%%&&&&&&''''''&&&&&&%%%###%%%''''''%%%%%%%%%&&&'''&&&%%%&&&'''((('''&&&$$$(((***)))%%%###%%%'''&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((('''&&&&&&%%%%%%&&&((())))))((('''&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&&&&&&&'''(((%%%&&&'''(((((('''&&&%%%'''''''''''''''''''''''')))******+++,,,,,,++++++++++++,,,,,,++++++***)))***************+++++++++&&&'''((()))))))))((((((+++++++++***************&&&&&&'''((((((((((((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&%%%###$$$%%%%%%&&&&&&&&&%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''((())))))'''&&&'''((($$$%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$$$$%%%%%%%%%%%%$$$######$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%$$$$$$&&&''''''(((((((((&&&'''((('''&&&%%%&&&'''$$$&&&))))))(((''')))***''''''&&&&&&&&&&&&''''''&&&&&&&&&'''''''''(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))*********************************************+++++++++,,,,,,---------,,,,,,---......////////////////////////...........................//////000000//////...//////000000000111111111//////000000000111111111222111111000000111111222111111111111111111111111.../////////000000000000000000000222444555444333000000000000111111111111000000/////////...............---------,,,,,,,,,++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++************************((()))))))))************((((((((((((((())))))***))))))))))))))))))))))))((((((((('''''''''&&&&&&((((((((((((((((((((((((''''''&&&&&&'''(((((()))'''''''''(((((()))))))))(((((('''''''''&&&&&&&&&&&&''''''((((((''''''&&&%%%%%%&&&''''''&&&%%%%%%$$$&&&''''''%%%$$$$$$%%%%%%$$$###$$$&&&''''''&&&$$$&&&(((((('''&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''((((((''''''&&&&&&''')))))))))(((&&&%%%&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''((('''&&&&&&&&&&&&'''(((%%%&&&((())))))(((&&&%%%''''''''''''''''''''''''((()))***++++++++++++++++++,,,,,,,,,,,,+++******************************%%%&&&''')))))))))((('''******))))))((((((''''''&&&'''(((*********)))(((''''''''''''''''''''''''(((((((((''''''&&&&&&%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%$$$$$$### """%%%&&&'''''''''$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&###$$$%%%%%%&&&&&&&&&&&&#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""$$$%%%%%%%%%%%%&&&((($$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$#########$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%((('''%%%$$$###$$$%%%%%%&&&%%%###""""""###%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%"""###%%%'''(((((('''&&&'''((()))(((&&&%%%%%%'''###&&&))))))'''''')))+++'''''''''&&&&&&'''''''''&&&&&&&&&'''''''''(((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************************************))))))*********+++++++++......---,,,,,,,,,------////////////////////////........................---..................---000000000000111111111111000000000000111111111111222222111111111111222222000000000000000000000000.../////////000000111111///......000222333222111/////////000000000000000000/////////............,,,,,,,,,+++++++++************+++,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++************************(((((())))))*********+++)))((('''''''''(((***+++((()))))))))*********+++''''''&&&&&&&&&%%%%%%%%%((((((((((((((((((((((((&&&&&&&&&&&&&&&'''((()))))))))))))))(((((((((((((((((('''''''''&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&''''''&&&%%%%%%%%%&&&''''''%%%######$$$$$$###"""$$$&&&''''''&&&$$$$$$$$$'''******)))&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&((())))))(((((('''((()))***)))(((&&&$$$&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((((('''&&&%%%%%%&&&'''(((%%%&&&((())))))(((&&&%%%''''''''''''''''''''''''************************,,,,,,,,,++++++*********,,,++++++***)))*********+++++++++***************'''((()))))))))))))))(((''''''(((((())))))******''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''(((######&&&%%%"""%%%%%%%%%&&&&&&&&&''''''######"""""""""###%%%&&&######$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&'''((())))))$$$$$$$$$$$$$$$$$$$$$$$$(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$'''''''''&&&%%%$$$""""""&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%000...,,,)))((('''&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%###"""###'''((('''%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$&&&'''''''''&&&%%%%%%$$$&&&&&&$$$######$$$&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((&&&%%%%%%%%%&&&''')))***%%%''')))+++,,,+++***))))))((('''&&&&&&'''((())))))))))))))))))))))))))))))))))))))))))))))))))),,,,,,,,,+++++++++******(((((((((((()))***+++,,,...,,,++++++,,,---,,,+++,,,,,,,,,---------.........------,,,,,,,,,---------------------------------.........//////000000......//////000000111111111111111000000000000000111222222222222111000000000000///////////////000////////////000000000000000000////////////000000......---......///000111......////////////......111000///---+++*********+++++++++*********))))))++++++++++++++++++++++++,,,,,,+++***)))))))))***+++++++++++++++++++++++++++******)))))))))))))))(((((((((((())))))))))))+++***)))(((((()))***+++''''''((((((((((((''''''+++******((('''&&&%%%$$$'''((((((((('''&&&%%%%%%'''&&&&&&%%%%%%&&&&&&'''((('''&&&$$$$$$$$$%%%&&&''''''''''''(((((((((((()))((('''&&&&&&'''((()))%%%%%%&&&&&&%%%%%%$$$###''''''''''''''''''''''''&&&&&&''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%$$$$$$$$$######"""""""""(((((('''''''''&&&&&&&&&''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%''''''''''''((((((((((((************************,,,,,,,,,++++++*********++++++***)))))))))))))))*********************)))))))))))))))((((((((((((((((((((((((((()))))))))''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&***%%%!!!"""%%%((('''$$$%%%%%%%%%&&&&&&&&&&&&'''$$$$$$###"""###$$$%%%%%%######$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&((('''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%###"""$$$&&&((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&'''((()))&&&(((***,,,,,,,,,+++***)))((('''&&&&&&'''((())))))))))))))))))))))))))))))))))))))))))))))))))),,,+++++++++************(((((((((((()))***+++,,,,,,+++))))))***++++++***+++++++++,,,,,,,,,------...------,,,,,,,,,------////////////////////////............/////////000///////////////000000000000000000000000000000000111222222222222111000000000000///////////////000....../////////000000000//////............////////////.........///000000//////000000000000/////////...---,,,,,,+++,,,,,,,,,,,,,,,+++++++++******++++++++++++++++++++++++,,,+++******))))))******++++++++++++++++++++++++******)))(((((((((((()))(((((((((((())))))))))))***))))))(((((())))))***''''''((((((((((((''''''&&&&&&&&&'''((())))))***''''''((((((((('''&&&&&&(((''''''&&&&&&''''''(((,,,+++***))))))******+++''''''''''''((((((((((((((((((''''''''''''((((((&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&'''(((((()))&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$''''''''''''&&&&&&%%%%%%''''''&&&&&&%%%%%%%%%%%%''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%''''''''''''((((((((((((************************+++++++++++++++************)))))))))((((((((((((((((((((()))))))))))))))+++***)))(((''''''(((((())))))((((((((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%)))&&&"""###%%%''''''%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%###$$$$$$%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%"""""""""###$$$%%%'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$&&&''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$((((((((('''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&''''''(((((()))***,,,,,,,,,++++++((((((''''''''''''(((((((((((((((((((((((((((((())))))))))))))))))))))))************))))))))))))(((((((((((()))***+++,,,---+++)))***+++,,,,,,+++*********+++++++++,,,,,,------,,,,,,,,,,,,------....................................////////////000000//////////////////000000000000000000000000111111222222111111000///000//////......///000000------........./////////...------------------...000000//////...////////////000000000000000000///,,,,,,,,,+++,,,,,,------,,,,,,,,,,,,,,,+++++++++++++++++++++++++++++++++++++++***)))))))))******))))))))))))))))))))))))***)))((((((''''''(((((((((((((((((())))))))))))'''(((((())))))(((((('''''''''((((((((((((''''''$$$%%%&&&'''(((***++++++''''''((()))))))))(((((((((((((((''''''((((((((((((((('''''''''((())))))''''''''''''((((((((((((''''''((((((((((((''''''''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%"""######%%%&&&'''((()))&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%((((((((((((''''''''''''&&&%%%%%%%%%%%%$$$$$$$$$''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&''''''''''''(((((((((************************+++++++++***************(((((((((((((((''''''&&&'''''''''(((((((((((((((---+++)))'''&&&&&&'''((()))))))))((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$""""""$$$%%%%%%###$$$$$$%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''&&&&&&%%%%%%%%%&&&'''(((((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''''''''&&&&&&&&&''''''((()))***+++*********(((((((((''''''((((((((('''''''''''''''''''''''')))))))))))))))))))))))))))))))))))))))((((((((())))))(((((()))***++++++...---+++,,,---///......++++++++++++,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,.........///////////////000000000//////......---/////////000000000000000111111111111111000000/////////.........///000000------------.........///......------------......111000000///..................////////////......,,,,,,++++++++++++,,,,,,++++++++++++++++++++++++******************************))))))))))))******))))))))))))))))))))))))))))))((('''''''''''''''(((((((((((())))))))))))&&&'''((())))))((('''&&&''''''((((((((((((''''''((((((((((((''''''''''''''''''((()))******))))))((((((''''''''''''((((((#########$$$$$$%%%&&&&&&''''''''''''((((((((((((%%%&&&((((((((((((&&&%%%'''''''''''''''&&&%%%%%%''''''''''''''''''''''''######$$$$$$%%%&&&''''''&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''((((((&&&%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((************************************************'''(((((((((((('''&&&&&&&&&&&&''''''((((((((((((---+++)))'''&&&&&&'''((())))))((((((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$######$$$%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$######""" %%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%&&&'''(((((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&'''''''''((((((((((((((('''(((((((((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))***+++---,,,++++++---.........,,,,,,,,,,,,------------+++++++++++++++,,,---...,,,,,,,,,,,,,,,,,,,,,,,,///////////////.........000000//////......------......//////000000000000000111111111111000//////...............///000000------------.........//////..................///000000///...---------...,,,------------------,,,---,,,+++***************))))))))))))***************************************))))))((())))))******(((((((((((((((((((((((())))))((('''''''''''''''(((((((((((())))))))))))&&&'''((())))))((('''&&&''''''((((((((((((''''''******)))((('''&&&%%%%%%''''''((()))******))))))'''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''((((((((((((''''''''''''((((((((((((%%%&&&'''(((((('''&&&%%%%%%&&&&&&&&&&&&%%%$$$$$$''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%$$$&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((($$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''''''''************************)))))))))***************'''((()))))))))(((&&&%%%&&&&&&''''''(((((())))))+++***)))(((''''''((((((((((((''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&%%%%%%$$$###&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%&&&&&&'''###$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((''''''&&&&&&&&&&&&&&&&&&'''''''''''''''((((((((((((''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))***)))))))))))))))*********)))((((((***,,,,,,+++,,,,,,---------.........+++******++++++,,,---...------------------------///////////////.........//////..................---......//////000000111000000111111000000///...------------...///000000------.........///////////////............//////......------,,,---------++++++,,,,,,,,,,,,++++++---,,,+++***))))))))))))((((((((()))))))))))))))************************))))))((((((((()))******((((((((((((((((((((((((***)))((((((''''''(((((((((((((((((())))))))))))'''(((((())))))(((((('''''''''((((((((((((''''''((((((((((((((((((''''''''''''((()))))))))((((((&&&&&&%%%%%%%%%%%%&&&&&&&&&'''(((((()))(((((('''''''''''''''((((((((((((&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&%%%$$$$$$$$$&&&&&&''''''''''''&&&&&&###$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&'''''''''''''''(((''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&&&&&&&&&&'''''''''************************((()))))))))*********+++'''((()))******((('''%%%&&&''''''((())))))******))))))))))))((((((((((((&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''&&&&&&'''###$$$$$$$$$$$$%%%%%%%%%"""###$$$%%%%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&######$$$%%%%%%&&&''''''$$$%%%&&&((()))))))))(((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%'''&&&$$$###%%%&&&''''''''''''''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''$$$%%%&&&((((((((('''''''''''''''&&&&&&'''''''''&&&'''((())))))((('''&&&''''''''''''''''''''''''((((((((((((((((((((((((((((((((())))))***************))))))))))))******)))'''&&&''')))++++++***++++++,,,,,,,,,---------************+++,,,---...------------------------000/////////............------..................------......///000000111000000000000000//////...------------...///000000....../////////000000000...------------------...,,,,,,+++++++++,,,------+++,,,,,,------,,,,,,++++++******)))))))))******(((((())))))************************************((((((((((((((()))******))))))))))))))))))))))))******)))(((((((((((()))(((((((((((())))))))))))***))))))(((((())))))***''''''((((((((((((''''''&&&&&&''''''(((((())))))''''''((((((((('''&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&&&&%%%$$$###''''''''''''(((((((((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&######$$$$$$%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&###$$$$$$%%%&&&'''((((((&&&&&&&&&&&&%%%%%%%%%%%%&&&'''''''''((((((((((((%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%$$$$$$%%%&&&&&&%%%%%%&&&&&&&&&'''''''''************************(((((())))))*********+++''')))***+++***)))'''&&&'''''''''((()))******+++'''((()))))))))))))))(((%%%&&&&&&''''''((((((((())))))))))))))))))))))))''''''&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&&&&%%%$$$$$$%%%######$$$$$$$$$%%%%%%%%% !!!###$$$%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$""""""$$$%%%&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&######$$$%%%%%%&&&''''''"""###$$$%%%&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&'''&&&$$$###$$$'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''''''''&&&&&&&&&$$$######$$$&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((###$$$&&&((())))))(((((()))(((((('''''''''((((((&&&'''((())))))((('''&&&(((((((((((((((((((((((((((((((((((((((((((((((((((((())))))******++++++******)))))))))))))))******)))((()))+++,,,---,,,******+++++++++,,,,,,,,,************+++,,,---...++++++++++++++++++++++++000000//////.........---,,,------....../////////---------...///000000111000000000000000//////...,,,,,,,,,---...///000111////////////000000000000---,,,,,,++++++,,,,,,---************+++,,,,,,---,,,------......------,,,(((((((((((()))***+++,,,))))))******+++++++++,,,))))))))))))))))))))))))((((((((((((((()))******************************++++++***)))))))))))))))(((((((((((())))))))))))+++***)))(((((()))***+++''''''((((((((((((''''''(((((((((((((((((((((((('''((((((((('''&&&%%%%%%((((((''''''''''''((((((&&&''''''((('''&&&$$$###''''''''''''((((((((()))''''''%%%$$$$$$%%%''''''''''''((((((''''''&&&%%%''''''''''''''''''''''''&&&&&&&&&''''''(((((((((&&&''''''''''''''''''&&&%%%%%%&&&&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&"""###$$$%%%'''((()))))))))))))))((('''''''''&&&%%%&&&&&&&&&''''''(((((($$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&&&&&&&''''''))))))*********))))))(((((()))***++++++***(((''')))((('''&&&&&&''')))***)))))))))((('''''''''&&&((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&''''''$$$%%%'''((()))(((''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&''''''((('''%%%######%%%&&&&&&%%%''''''''''''''''''&&&&&&'''&&&%%%%%%$$$$$$$$$$$$%%%&&&&&&%%%$$$%%%'''(((&&&'''((((((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&"""$$$(((++++++)))&&&$$$&&&&&&&&&&&&%%%%%%$$$###%%%%%%%%%&&&&&&&&&'''''')))(((&&&%%%$$$%%%%%%&&&''''''''''''''''''''''''&&&%%%###""""""###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((('''%%%###!!!%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$)))((('''&&&%%%$$$$$$$$$&&&%%%%%%$$$%%%&&&'''(((&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%'''***,,,,,,***'''%%%%%%%%%%%%%%%&&&'''(((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((%%%&&&''''''((((((''''''''''''''''''((((((((((((''''''&&&&&&&&&&&&''''''((((((''''''''''''(((((())))))))))))((((((((((((,,,,,,,,,------.........+++)))((()))******)))(((---------,,,,,,++++++++++++++++++++++++++++++,,,---------.........//////........................000///...------------------......///////////////////////////////////////---------------,,,,,,,,,---....../////////////////////...---,,,,,,++++++,,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***)))))))))***+++,,,+++++++++******))))))((((((((((((((((((((((((+++*********))))))(((((())))))))))))))))))))))))+++******)))(((''''''&&&''''''''''''(((((((((((())))))))))))))))))))))))'''((()))******************(((%%%$$$###$$$&&&''''''''''''''''''''''''''''''(((***+++***)))'''&&&((((((((((((((((((((((((''''''((((((((((((''''''$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&%%%$$$%%%&&&'''(((%%%&&&'''(((((('''&&&%%%$$$%%%%%%&&&'''''''''&&&%%%%%%%%%&&&&&&'''''''''+++***'''%%%$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((((('''&&&%%%$$$%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&%%%$$$%%%%%%''''''))))))************))))))((((((''''''''''''(((((()))((('''&&&&&&'''(((***&&&&&&&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((('''''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%###"""###$$$%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$%%%###%%%&&&&&&%%%$$$&&&''''''&&&$$$"""""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&"""###$$$$$$%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$###$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$""""""$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$###""" %%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$((('''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&'''((('''&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%'''))))))'''%%%$$$'''&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&'''((((((%%%&&&''''''((((((''''''''''''''''''(((((((((((((((''''''''''''''''''(((((((((''''''''''''(((((())))))))))))(((((((((((((((((())))))************+++***))))))***+++***))),,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,++++++++++++,,,,,,---------.................................///......------------...------...///////////////...........................---------,,,,,,++++++------...//////////////////......---,,,,,,++++++......------,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***)))))))))***+++++++++******))))))))))))))))))))))))))))))))))))*********)))))))))(((((())))))))))))))))))))))))+++++++++***)))(((((((((&&&&&&'''''''''(((((((((((((((((((((((((((((((((''''''((()))))))))(((((((((((('''''''''&&&&&&&&&''''''''''''''''''''''''+++***)))(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((('''''''''%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''***)))'''&&&%%%$$$%%%%%%&&&&&&'''(((((('''&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&***)))'''&&&%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''((((((&&&%%%%%%%%%&&&&&&''''''((((((((((((''''''%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%%%%%%%&&&'''))))))************))))))***(((&&&%%%%%%''')))***)))((('''&&&&&&'''((()))%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''(((''''''&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&'''&&&%%%$$$$$$%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%&&&&&&$$$"""%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%"""$$$&&&&&&%%%$$$%%%&&&)))'''""" ###%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&$$$###"""!!!!!!###%%%&&&%%%%%%&&&&&&&&&%%%$$$$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&'''''''''''''''&&&&&&'''''''''%%%%%%%%%%%%%%%%%%&&&&&&%%%&&&''''''''''''&&&%%%(((((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((%%%&&&''''''((((((''''''''''''''''''(((((((((((()))((((((''''''(((((()))((((((''''''''''''(((((((((((((((((())))))))))))''''''''''''((((((((((((+++***)))***+++,,,+++)))+++++++++,,,,,,,,,,,,,,,---------,,,,,,+++++++++++++++,,,,,,,,,---------------------------------------------------...///------...////////////.................................------,,,+++******------...////////////............------,,,,,,+++//////...---,,,+++******,,,,,,,,,,,,,,,,,,,,,,,,,,,+++******))))))******))))))))))))((((((((((((******************************))))))))))))(((((()))))))))))))))))))))))),,,++++++******))))))(((&&&&&&&&&'''''''''((((((((((((((((((((((((((((((''''''((((((((('''&&&&&&'''((()))***)))((('''%%%''''''''''''''''''''''''...,,,)))'''%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&'''''''''(((''''''''''''''''''''''''+++***((('''&&&%%%%%%%%%&&&&&&'''(((((('''&&&&&&%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%(((''''''''''''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''(((((('''&&&&&&&&&''''''(((((())))))))))))((((((%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%%%%%%%((())))))************)))***))))))(((((()))++++++))))))(((''''''''''''(((&&&'''''''''((()))))))))''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''***)))'''&&&%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%$$$$$$%%%'''((((((''''''&&&&&&''''''(((&&&&&&'''(((***)))&&&$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%###%%%''''''&&&%%%&&&&&&,,,)))%%%"""!!!"""%%%'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$######%%%'''(((%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&''''''((((((''''''''''''''''''''''''&&&%%%$$$$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%(((((('''&&&%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&''''''((($$$$$$$$$$$$%%%%%%%%%%%%(((((((((''''''(((((((((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((())))))))))))))))))))))))))))))'''&&&&&&&&&&&&'''((((((%%%&&&''''''((('''''''''''''''''''''(((((((((((())))))(((((((((((())))))((((((''''''''''''(((((((((((((((((())))))))))))))))))))))))))))))))))))+++***)))***+++,,,+++*********++++++,,,,,,,,,---.........---,,,+++************+++++++++,,,,,,,,,------------------------,,,,,,,,,,,,---......///,,,---......//////..............................000//////...---,,,++++++,,,---......//////............---------,,,,,,,,,......------,,,+++******+++++++++++++++++++++++++++++++++***************((((((((((((((((((''''''))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((((((((*********)))))))))((((((''''''(((((((((((())))))((((((((((((((((((((((((((((((((((((((('''&&&%%%''''''(((((((((''''''&&&''''''''''''''''''''''''+++***)))'''&&&&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%''''''''''''((((((((((((''''''''''''''''''''''''''''''''''''(((((())))))&&&''''''''''''''''''&&&%%%%%%&&&&&&'''&&&&&&%%%'''''''''&&&&&&%%%%%%%%%%%%%%%&&&'''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''((('''''''''''''''''''''''''''((((((((((((''''''%%%%%%%%%&&&&&&&&&''''''(((''''''&&&%%%%%%%%%%%%(((((()))***************'''((()))+++++++++***)))))))))((('''''''''''''''&&&'''''''''((()))))))))''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''***)))'''&&&%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''(((''''''&&&&&&''''''(((&&&&&&'''(((***)))&&&$$$%%%&&&&&&&&&'''''''''(((%%%%%%%%%$$$$$$%%%%%%&&&$$$&&&''''''&&&&&&'''((())))))'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''''''''$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$''''''''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&%%%''''''&&&&&&&&&&&&''''''$$$%%%%%%%%%&&&&&&'''''')))((('''&&&&&&'''((()))%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%&&&'''((())))))))))))))))))))))))))))))'''&&&&&&&&&&&&'''((((((%%%&&&''''''((('''''''''''''''''''''(((((((((((())))))(((((((((((())))))((((((''''''''''''(((((('''((((((((()))))))))******************************)))((()))+++,,,+++************++++++,,,,,,,,,......---,,,++++++***************+++++++++,,,,,,------------------------,,,,,,,,,,,,,,,---...///,,,------.......................................000000000///...------,,,,,,------...............---------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++******))))))''''''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((())))))((((((((((((((((((((((((((((((((((((((('''''''''(((((()))))))))*********''''''''''''''''''''''''))))))))))))(((((('''&&&((('''%%%$$$$$$%%%'''(((''''''''''''''''''''''''&&&'''((())))))(((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%'''''''''((((((((())))))'''''''''''''''''''''''''''''''''((((((((((((((('''''''''&&&&&&'''''''''%%%&&&&&&'''&&&&&&%%%%%%'''''''''&&&&&&%%%%%%%%%$$$%%%&&&'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%$$$'''((()))******+++******$$$%%%((()))***)))(((''')))))))))(((''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((''''''&&&&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%&&&&&&$$$"""%%%&&&&&&''''''(((((((((%%%%%%$$$$$$$$$%%%&&&&&&%%%&&&&&&&&&%%%%%%''')))$$$%%%&&&''''''%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&########################$$$%%%%%%&&&&&&%%%%%%$$$"""###&&&'''(((&&&%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''''''''$$$$$$$$$$$$###"""!!! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''(((&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&'''''''''&&&%%%$$$&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&''''''(((((())))))&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&'''((((((%%%&&&&&&&&&'''((((((((('''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((%%%&&&''''''((((((''''''''''''''''''(((((((((((()))((((((''''''(((((()))((((((''''''''''''((((((''''''(((((())))))******))))))))))))(((((((((((()))((('''(((***++++++************+++++++++++++++,,,,,,,,,++++++***************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---...,,,,,,---............---------------------------/////////...............,,,,,,---............---------------------------***+++++++++,,,,,,,,,---++++++++++++++++++++++++***++++++++++++***))))))''''''''''''((((((((((((''''''''''''''''''''''''''''''(((((((((((())))))))))))))))))))))))))))))''''''''''''''''''''''''(((((()))))))))*********''''''''''''''''''''''''(((((()))))))))(((''''''(((&&&$$$######%%%''')))''''''''''''''''''''''''###%%%''')))***)))((('''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''''''''((((((((()))'''''''''''''''''''''''')))))))))((('''&&&%%%$$$((('''&&&&&&&&&&&&'''(((&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&(((''''''''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&''''''&&&&&&%%%'''((()))******+++++++++%%%&&&'''(((((())))))))))))))))))(((((('''&&&%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&(((&&&$$$###"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%'''(((((('''%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%###"""###$$$%%%$$$###$$$$$$%%%&&&&&&'''((((((%%%$$$$$$$$$%%%%%%&&&'''%%%%%%$$$"""!!!"""&&&((("""###$$$&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$"""###$$$&&&&&&%%%$$$######$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&"""###$$$$$$$$$###""""""%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((())))))(((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((((('''&&&$$$######$$$&&&'''&&&&&&%%%%%%%%%&&&''''''&&&&&&'''''''''&&&%%%$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&'''&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((%%%&&&''''''((((((''''''''''''''''''(((((((((((((((''''''''''''''''''(((((((((''''''''''''(((((('''''''''((()))*********)))))))))((((((((('''''''''&&&&&&''')))+++***)))++++++++++++************************************++++++++++++,,,,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,+++,,,,,,,,,+++,,,------......------------------------------,,,,,,,,,---------------+++,,,------......------------------------------,,,,,,,,,+++++++++++++++***************************++++++,,,+++***)))(((''''''((((((((()))))))))(((((((((((((((((((((((('''''''''((((((((())))))))))))))))))))))))))))))'''''''''(((((((((((((((''''''''''''((((((((((((''''''''''''''''''''''''&&&&&&'''((((((((('''''''''&&&%%%%%%&&&'''((()))''''''''''''''''''''''''&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((('''''''''&&&&&&'''''''''(((((((((''''''''''''''''''''''''(((((((((((('''%%%$$$###((('''&&&&&&&&&&&&'''(((&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&((('''&&&%%%&&&&&&((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&######%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''###$$$%%%''''''''''''&&&''''''(((******+++++++++))))))((('''(((***,,,...))))))))))))((('''&&&%%%)))))))))((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%'''((()))(((''''''$$$$$$$$$%%%%%%&&&&&&&&&)))'''%%%###""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&###%%%'''))))))'''%%%###(((''''''&&&&&&''''''((('''%%%###$$$%%%&&&&&&%%%######$$$%%%%%%&&&''''''$$$$$$$$$$$$%%%%%%&&&'''$$$###""" $$$(((###$$$$$$%%%&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&###$$$%%%%%%&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%###$$$&&&'''(((((('''&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%"""$$$%%%''''''&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''((()))'''&&&$$$######$$$&&&''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&'''((('''&&&$$$###%%%$$$$$$######$$$$$$%%% !!!"""######$$$$$$&&&''''''((((((''''''&&&(((((('''&&&%%%%%%%%%%%%'''''''''''''''&&&&&&&&&(((((((((((((((((((((((('''&&&&&&&&&&&&'''((((((%%%&&&''''''((((((''''''''''''''''''((((((((()))''''''&&&&&&&&&&&&''''''((((((''''''''''''((((((&&&''''''((()))******+++++++++******)))))))))((('''&&&%%%&&&)))******))),,,+++++++++******)))))))))))))))))))))*********++++++,,,,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,...------,,,+++++++++++++++,,,------......------------------------------)))******++++++,,,,,,---+++,,,------......------------------------------...------,,,+++***))))))******************************+++,,,+++***)))((('''((((((((())))))******))))))))))))))))))))))))&&&'''''''''(((((())))))))))))))))))))))))))))))(((((((((((())))))))))))%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''$$$$$$%%%&&&''''''''''''%%%&&&((()))))))))((((((''''''''''''''''''''''''***)))'''%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''&&&&&&&&&&&&'''''''''(((''''''''''''''''''''''''$$$%%%&&&'''''''''&&&%%%((('''&&&%%%%%%&&&'''(((&&&'''''''''&&&%%%%%%$$$%%%%%%%%%&&&&&&''''''''')))(((&&&%%%%%%&&&((()))''''''''''''''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&''''''''''''''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&!!!"""$$$%%%&&&%%%%%%$$$&&&''''''''''''''''''&&&%%%%%%%%%&&&&&&&&&''''''"""###%%%'''((((((((('''******))))))))))))******)))(((''''''''')))***+++))))))*********))))))(((''''''((((((((((((((((((''''''''''''''''''''''''&&&%%%%%%$$$%%%&&&'''(((''''''&&&&&&&&&%%%%%%%%% """$$$&&&'''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%&&&'''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&'''((()))&&&%%%###""""""###%%%&&&'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''%%%%%%&&&'''%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&((('''%%%#########%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%'''******)))'''''''''%%%%%%%%%&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%'''((())))))))))))''''''''''''((((((((((((''''''&&&&&&&&&&&&''''''''''''((((((((((((''''''((((((((((((''''''''''''(((((((((((((((((((((((((((((((((((()))***+++,,,++++++,,,,,,,,,,,,---------------,,,,,,+++++++++---,,,,,,+++*********+++...---,,,,,,++++++++++++------------------------,,,------......------,,,///......------,,,++++++------,,,+++,,,---...///------------............------,,,,,,,,,,,,++++++&&&''''''((()))*********************************(((((())))))))))))(((((())))))))))))))))))))))))''''''''''''''''''''''''%%%$$$######$$$''')))+++(((((((((((((((((((((((('''''''''''''''''''''''''''&&&%%%%%%&&&''')))***%%%%%%%%%&&&&&&&&&''''''''''''((((((((((((''''''%%%''')))***((('''''''''%%%%%%&&&&&&&&&&&&%%%%%%'''''''''&&&&&&%%%%%%%%%''''''''''''''''''''''''%%%&&&(((((('''&&&'''(((***))))))((('''&&&&&&&&&'''&&&$$$$$$$$$%%%'''))))))'''%%%#########$$$%%%&&&%%%$$$$$$&&&&&&%%%$$$&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((%%%%%%&&&'''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&,,,+++***(((''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((('''&&&%%%&&&''')))((('''&&&&&&&&&&&&&&&))))))((('''&&&%%%%%%$$$******))))))))))))******))))))(((''''''((()))******************)))((((((''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&'''((('''''''''&&&&&&&&&%%%%%% """###$$$$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&''''''(((&&&%%%$$$""""""$$$%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%$$$$$$%%%&&&%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%&&&''''''&&&%%%$$$%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$%%%%%%%%%######$$$&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''&&&&&&%%%%%%&&&&&&'''((()))))))))(((''''''''''''((((((((((((&&&&&&&&&%%%%%%&&&&&&&&&''''''((((((((((((''''''((((((((((((''''''''''''(((((((((((((((((((((((()))))))))******+++------*********+++++++++,,,,,,,,,,,,,,,,,,+++++++++***---,,,++++++******++++++...---,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------......------,,,,,,,,,---------------------,,,,,,+++,,,---...///---------.........//////---------,,,,,,+++++++++''''''((())))))***++++++************************(((((())))))))))))(((((('''''''''''''''''''''''''''''''''''''''''''''''')))(((&&&%%%%%%&&&((()))((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&''''''%%%&&&&&&&&&''''''''''''''''''((((((((((((''''''%%%'''))))))((('''''''''''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''''')))***)))'''&&&&&&'''+++******))))))(((''''''&&&&&&%%%$$$%%%&&&'''((('''&&&$$$######%%%&&&''''''&&&%%%%%%''''''&&&%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((%%%&&&&&&'''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((('''&&&%%%&&&((((((((('''&&&&&&&&&&&&&&&((((((((('''&&&&&&%%%%%%******))))))))))))*********)))(((((((((((())))))))))))))))))((('''%%%%%%''''''&&&&&&%%%%%%%%%$$$''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&'''''''''''''''''''''&&&&&&&&&"""###%%%&&&''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&((('''&&&&&&&&&&&&&&&&&&&&&%%%$$$######$$$%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%$$$$$$###!!! !!!$$$&&&%%%%%%%%%&&&&&&&&&&&&'''(((((((((''''''''''''&&&''''''((((((((((((((('''''''''''''''((((((((((((&&&%%%%%%%%%%%%%%%%%%&&&''''''((((((((((((''''''((((((((((((''''''''''''(((((((((((((((((((((((())))))((())))))***+++,,,)))))))))************++++++++++++***************,,,,,,++++++******++++++------,,,+++++++++,,,,,,++++++++++++++++++++++++,,,------......------,,,+++++++++,,,---.........,,,,,,,,,,,,,,,---......---............/////////...------,,,+++*********(((((())))))***+++++++++************************(((((())))))))))))((((((''''''''''''''''''''''''((((((((((((((((((((((((,,,***)))'''&&&&&&&&&'''(((((((((((((((((((((((('''''''''''''''''''''''''''''''''(((''''''&&&&&&&&&&&&'''''''''(((((((((''''''((((((((((((''''''&&&'''((((((&&&&&&'''(((''''''((((((((((((''''''%%%%%%&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))***+++***(((&&&&&&&&&)))))))))((((((''''''&&&%%%%%%%%%&&&&&&&&&''''''%%%$$$$$$$$$$$$&&&((()))((('''&&&&&&(((((('''&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((%%%&&&''''''((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((('''&&&&&&'''((((((((('''&&&&&&&&&&&&'''''''''''''''''''''''''''******))))))))))))******)))))))))((((((((((((((((((((('''&&&%%%$$$"""!!!(((((('''&&&&&&%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&'''((()))((((((((($$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&(((''''''&&&%%%%%%%%%%%%&&&%%%$$$$$$$$$$$$%%%&&&%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$###%%%&&&%%%$$$###$$$%%%''''''&&&&&&&&&%%%%%%%%%###$$$$$$%%%%%%$$$$$$######$$$$$$$$$$$$%%%%%%%%%''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%$$$%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&%%%######%%%'''&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((''''''((((((((((((((('''&&&''''''''''''(((((((((((('''&&&&&&%%%%%%&&&&&&'''''''''((((((((((((''''''((((((((((((''''''''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&'''(((((()))))))))*********++++++*********))))))))))))))),,,,,,++++++***++++++,,,---,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------......------,,,++++++,,,,,,,,,---------,,,,,,,,,,,,,,,---------------........./////////...------,,,+++***))))))))))))******++++++++++++************************(((((())))))))))))((((((''''''''''''''''''''''''))))))))))))))))))))))))+++***((('''&&&&&&&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''((()))*********((('''%%%'''''''''(((((((((((()))&&&''''''((((((''''''&&&&&&''''''&&&%%%%%%&&&(((%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''''')))***)))'''&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&'''''''''&&&&&&&&&%%%%%%%%%%%%&&&'''((('''&&&%%%&&&'''((('''%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&((('''&&&&&&'''((((((''''''&&&&&&&&&''''''&&&&&&&&&'''''''''((((((******))))))))))))******((())))))))))))((((((((()))(((((('''&&&%%%###"""((((((((((((''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''''''''''''''###$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&((('''&&&%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''&&&%%%$$$%%%'''''''''&&&&&&&&&%%%%%%%%%###$$$$$$%%%%%%$$$$$$############$$$$$$$$$%%%%%%''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&((()))'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((((((((((((((('''((((((((((((((('''&&&''''''''''''((((((((((((((((((''''''''''''((((((''''''((((((((((((''''''((((((((((((''''''''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&'''(((************+++++++++,,,)))))))))))))))))))))))),,,++++++***++++++,,,,,,,,,,,,,,,++++++,,,,,,---........................,,,------......------,,,------,,,,,,,,,++++++++++++++++++,,,,,,,,,,,,,,,------------............------,,,++++++***))))))***************+++++++++))))))))))))))))))))))))(((((())))))))))))(((((((((((((((((((((((((((((())))))))))))))))))))))))''''''&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((('''''''''''''''''''''''''''((())))))((('''%%%$$$'''''''''(((((((((((()))&&&&&&''''''''''''&&&&&&&&&'''&&&$$$###$$$&&&(((%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''###%%%''''''&&&&&&'''(((%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&'''''''''&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&%%%$$$%%%&&&&&&&&&$$$%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''&&&&&&''')))''''''&&&&&&&&&''''''(((%%%%%%&&&&&&'''(((((((((******))))))))))))******''''''((()))))))))))))))************)))((('''&&&((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&'''''''''&&&%%%$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''%%%%%%&&&'''&&&&&&&&&&&&%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###############$$$$$$$$$$$$''''''&&&&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''###%%%((()))(((&&&%%%%%%'''&&&&&&&&&&&&%%%%%%%%%&&&''''''''''''(((((((((''''''((((((((((((((('''''''''''''''(((((((((((())))))(((((((((((())))))''''''((((((((((((''''''((((((((((((''''''''''''(((((((((((((((((((((((())))))(((((((((((())))))*********+++++++++,,,,,,))))))))))))************++++++******++++++,,,,,,,,,,,,+++++++++,,,------........................,,,------......------,,,---------,,,+++***************+++,,,,,,,,,,,,,,,+++,,,,,,,,,,,,---------++++++++++++************************************))))))))))))))))))))))))(((((())))))))))))(((((())))))))))))))))))))))))(((((((((((((((((((((((($$$%%%%%%&&&&&&'''''''''((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&'''''''''(((((((((&&&&&&''''''''''''&&&&&&'''&&&%%%###!!!###&&&)))''''''((((((((((((''''''%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''!!!###%%%&&&&&&&&&'''(((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''((((((((('''&&&%%%%%%$$$&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((('''''''''(((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&''''''&&&&&&((()))'''&&&&&&&&&&&&'''((((((&&&&&&&&&'''''''''((((((******))))))))))))******%%%&&&((()))************)))))))))))))))(((''''''%%%&&&&&&''''''(((((()))''''''''''''''''''''''''&&&&&&'''''''''&&&%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&(((((('''''''''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$%%%%%%&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%$$$%%%&&&%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###############$$$$$$$$$$$$'''&&&%%%$$$$$$%%%&&&'''%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''''''''((())))))((('''&&&%%%''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%&&&((('''&&&%%%&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&'''((()))))))))(((''''''''''''((((((((((((((((((''''''''''''((((((''''''((((((((((((''''''((((((((((((''''''''''''((((((((((((((((((((((((******))))))((())))))***)))))))))************+++)))))))))******+++++++++++++++******++++++,,,---,,,+++++++++,,,,,,---...........................,,,------......------,,,,,,,,,++++++++++++++++++)))***+++,,,---,,,,,,+++******++++++++++++,,,,,,************++++++++++++))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))))))))((((((((((((((((((((((((((((((''''''''''''''''''''''''%%%&&&&&&'''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&&&&'''%%%&&&&&&&&&''''''''''''%%%&&&&&&''''''&&&&&&%%%'''&&&$$$!!! """&&&)))''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''###%%%&&&'''&&&&&&&&&((('''''''''''''''(((((((((&&&&&&%%%$$$%%%&&&'''(((&&&'''''''''''''''&&&&&&'''%%%$$$%%%&&&'''&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''(((((('''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%''''''&&&'''(((***&&&&&&&&&&&&&&&'''((((((&&&&&&&&&'''''''''''''''******))))))))))))******$$$%%%''')))++++++++++++&&&&&&&&&'''&&&&&&%%%%%%###$$$$$$%%%&&&'''((((((''''''''''''''''''''''''&&&&&&'''((('''&&&$$$############$$$$$$%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%)))((('''&&&%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%$$$$$$$$$"""############$$$$$$$$$&&&%%%$$$$$$$$$$$$%%%&&&%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%#########%%%'''(((&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%&&&'''((((((%%%$$$$$$######$$$$$$%%%'''''''''''''''''''''''''''((()))))))))(((&&&%%%''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''))))))((('''%%%&&&(((+++'''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%'''((())))))))))))''''''''''''((((((((()))''''''&&&&&&&&&&&&''''''''''''(((((((((((('''''')))(((((((((''''''''''''(((((((((((((((((((((((()))(((((('''''''''(((((((((((((((((())))))))))))))))))******+++++++++,,,+++*********+++,,,,,,---++++++++++++,,,,,,---...------------------------,,,------......------,,,*********++++++,,,------)))***+++,,,---,,,++++++))))))*********+++++++++)))))))))***++++++,,,,,,)))))))))((((((((((((((())))))))))))))))))))))))(((((())))))))))))(((((('''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((((((''''''(((((((((((((((((((((((('''''''''''''''''''''''')))(((''''''''')))***,,,%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%'''&&&$$$!!!!!!&&&)))%%%&&&&&&&&&&&&&&&&&&%%%'''''''''&&&&&&%%%%%%%%%''''''''''''''''''''''''&&&''')))((('''&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$&&&((()))$$$%%%&&&'''((((((((((((((('''&&&&&&'''((('''&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((('''((((((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%''''''''''''(((***&&&&&&&&&&&&&&&'''((()))''''''''''''''''''''''''(((''''''(((((()))***+++)))(((((('''''''''((((((''''''((((((''''''&&&%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&######$$$$$$%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''((((((((($$$$$$$$$%%%%%%&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%'''&&&$$$######$$$&&&'''&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&'''''''''&&&%%%'''''''''''''''''''''''',,,,,,+++)))((('''&&&%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%(((((((((((((((((((((((('''&&&&&&&&&&&&'''((((((%%%&&&(((******)))((('''%%%'''))))))'''&&&%%%&&&((((((''''''''''''((((((''''''(((((())))))******))))))(((((('''''''''&&&%%%(((++++++***((('''(((((((((((((((((()))******))))))))))))************---------+++))))))+++---,,,,,,,,,++++++*********(((((()))***++++++,,,,,,...------,,,,,,------...---------,,,,,,+++++++++))))))***+++,,,,,,---------,,,++++++------,,,++++++++++++++++++***)))((())))))************))))))))))))************))))))+++*********))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))&&&&&&&&&&&&&&&'''((()))(((((((((((((((((((((((())))))((('''&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((((((######$$$&&&((()))***+++((('''&&&%%%%%%%%%%%%%%%'''&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''$$$$$$%%%%%%&&&'''((((((%%%&&&&&&&&&'''((((((((()))((('''&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%&&&''')))******)))((((((((((((((()))******)))(((((((((((((((''''''((((((''''''&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&$$$$$$$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&%%%###""""""###%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&'''''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%))))))((('''&&&%%%%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((($$$&&&'''))))))((('''&&&%%%''')))((('''&&&'''(((((((((''''''''''''((((((''''''(((((()))))))))))))))(((((((((''''''''''''&&&(((***+++***(((((((((((((((((((((((()))******))))))))))))******************+++)))((('''(((***,,,,,,,,,++++++*********((())))))***++++++,,,,,,,,,,,,++++++++++++,,,,,,...---------------,,,,,,)))******+++,,,,,,---------,,,++++++------,,,+++***++++++++++++***)))((())))))************))))))&&&&&&''''''''''''&&&&&&*********)))))))))((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((''''''&&&&&&&&&''''''(((''''''''''''''''''''''''&&&%%%%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''&&&&&&((('''&&&%%%%%%%%%%%%&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''$$$%%%%%%&&&&&&'''''''''&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&############$$$$$$$$$$$$''''''''''''''''''''''''%%%&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%&&&&&&'''+++***)))((('''''''''''',,,+++***)))((((((((((((''''''((((((''''''&&&%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%((((((''''''&&&%%%%%%$$$&&&%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$""""""""""""$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&&&&&&&'''(((((($$$%%%&&&(((((('''&&&&&&&&&'''(((((('''''')))+++((((((''''''''''''(((((('''(((((((((((()))))))))((((((((((((''''''''''''&&&(((***+++)))(((((((((((((((((((((((()))******))))))))))))************((()))+++***)))(((((()))+++++++++++++++*********)))))))))***++++++,,,,,,++++++************++++++------------............*********++++++,,,,,,------+++***+++,,,---,,,+++******++++++******))))))((())))))******))))))((('''(((((())))))(((((('''******))))))))))))((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((('''&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&############$$$%%%&&&'''&&&&&&''''''''''''(((((('''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&((((((((('''&&&&&&&&&%%%''''''&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&''''''%%%&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&%%%((('''&&&%%%$$$$$$$$$$$$******)))(((((((((((((((,,,+++***((('''&&&&&&&&&'''''''''(((''''''&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&((((((''''''&&&%%%$$$###########################$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&&&&&&&'''(((((($$$%%%&&&'''''''''&&&&&&'''((((((''''''(((+++---((((((''''''''''''(((((((((((((((((((((((((((((((((((((((((((((''''''''''''(((******)))(((((()))((((((((((((((())))))***((()))))))))************(((***------+++***)))***+++++++++***************))))))*********+++++++++++++++************+++++++++,,,,,,,,,---.........*********++++++,,,,,,,,,,,,+++***+++,,,,,,,,,***))))))************))))))(((((())))))))))))((((((((())))))******))))))((())))))))))))))))))(((((())))))))))))))))))))))))'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''')))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$#########$$$$$$%%%&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''(((((('''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&''''''(((&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%((((((((('''&&&&&&&&&%%%&&&'''((())))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$((((((((((((((()))******+++***((('''&&&%%%%%%$$$'''''''''(((''''''&&&%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&(((((('''&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&'''((((((%%%%%%%%%&&&&&&&&&&&&&&&'''((((((''''''(((+++---((((((''''''''''''(((((((((((((((''''''''''''''''''''''''(((((((((((((((''')))******((('''((()))((((((((((((((())))))***((()))))))))************'''***,,,,,,+++************************************************+++++++++,,,,,,++++++++++++,,,,,,*********+++,,,,,,,,,---***+++++++++++++++,,,,,,,,,+++******,,,,,,+++***((())))))*********))))))(((((())))))))))))((((((%%%&&&&&&''''''&&&&&&%%%(((((((((((((((((())))))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''''''''''')))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''((((((&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&'''((()))&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%((((((((('''&&&&&&&&&%%%&&&'''((())))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&############$$$$$$$$$$$$''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''((()))***+++)))((('''&&&%%%%%%$$$$$$''''''((((((''''''&&&%%%%%%&&&&&&''''''&&&&&&%%%&&&''''''((((((''''''&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%&&&&&&''''''&&&%%%%%%%%%%%%%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%'''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&'''''''''&&&'''(((((('''''')))+++((((((''''''''''''(((((((((((((((''''''''''''&&&'''''''''(((((((((((((((((()))***)))((('''(((***((((((((((((((()))******))))))))))))************&&&'''))))))((('''((())))))))))))***************************************,,,,,,++++++++++++,,,,,,************++++++++++++++++++++++++++++++++++++,,,***)))***+++,,,+++***(((((())))))******))))))'''(((((())))))(((((('''((((((((())))))(((((((((''''''(((((((((((())))))''''''''''''''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''''''''''''''(((((('''&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&***)))((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%((((((((('''&&&&&&&&&%%%&&&&&&%%%%%%%%%&&&''''''&&&&&&&&&&&&'''((())))))&&&&&&'''''''''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''###$$$%%%&&&'''''''''''')))((((((((((((((()))***(((((('''&&&&&&&&&&&&&&&''''''((((((''''''&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&''''''''''''%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$"""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&''''''&&&%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((''''''&&&&&&''''''((()))%%%''')))((('''&&&'''(((((((((''''''''''''(((((((((((('''''''''&&&&&&&&&''''''''''''((((((((()))((()))***)))''''''(((***((((((((((((((()))******))))))))))))************&&&'''(((''''''''')))***((()))))))))*********+++************************++++++************++++++,,,,,,+++++++++++++++***+++++++++++++++++++++++++++***)))***+++,,,+++)))'''(((((()))))))))))))))''''''((((((((((((''''''++++++,,,,,,,,,,,,++++++'''''''''((((((((())))))''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&''''''(((''''''''''''''''''''''''((((((''''''&&&'''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&'''((()))***''''''''''''((((((((((((''''''''''''''''''''''''$$$%%%%%%&&&&&&'''''''''&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((()))))))))******''''''''''''''''''''''''###$$$$$$%%%&&&'''((((((%%%%%%''''''((('''&&&&&&+++***)))((((((''''''((()))(((((('''''''''((((((''''''((((((''''''&&&%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&'''''''''((((((%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%$$$$$$###$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$$$$######""""""######$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((((((''''''''''''((())))))%%%'''))))))'''&&&%%%&&&((((((''''''''''''(((((((((((('''''''''&&&&&&&&&&&&'''''''''(((((())))))((()))))))))'''''')))***((((((((((((((()))******))))))))))))************)))))))))(((((((((+++---(((((())))))*********+++++++++************************))))))))))))******---------,,,,,,++++++++++++++++++++++++++++++++++++***)))***+++++++++)))''''''((()))))))))))))))''''''((((((((((((''''''))))))************))))))&&&'''''''''(((((())))))))))))))))))))))))))))))''''''''''''''''''''''''''''''''''''''''''''''''))))))))))))))))))))))))&&&&&&&&&&&&&&&'''((()))((((((((((((((((((((((((&&&&&&&&&&&&'''((())))))(((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&'''''''''(((((((((''''''&&&&&&&&&######%%%&&&((()))***+++%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&'''''')))******''''''''''''((((((((()))''''''''''''''''''''''''$$$$$$%%%%%%&&&'''((((((%%%&&&&&&''''''((((((((()))((('''&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((''''''''''''''''''''''''"""###$$$%%%'''((())))))'''(((((()))((('''%%%$$$+++)))&&&&&&(((+++------&&&&&&&&&''''''(((******)))((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%'''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%(((%%%$$$%%%'''(((&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&$$$###"""###$$$$$$'''&&&%%%$$$$$$$$$%%%&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$#########$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''''''''''''''%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###&&&%%%###""""""###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###%%%'''))))))'''%%%###$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%&&&'''(((######$$$%%%%%%%%%%%%$$$''''''''''''''''''&&&&&&(((&&&$$$"""!!!"""$$$%%%''''''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$###$$$%%%&&&'''&&&''''''((((((''''''&&&&&&'''(((((())))))((((((&&&&&&&&&''''''''''''(((((((((''''''''''''(((((('''))))))'''$$$###&&&)))(((((('''''''''&&&&&&&&&(((***+++***)))((()))+++******)))((((((((((((((())))))))))))((((((((((((%%%'''))),,,------,,,+++******))))))))))))))))))*********++++++,,,,,,,,,,,,+++***))))))***+++,,,))))))(((((()))+++---...***+++---......---+++***(((((((((((((((((((((((((((((()))***************&&&''''''((()))******+++))))))))))))))))))))))))((((((((((((((((((''''''''''''''''''''''''''''''((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$$$$%%%%%%$$$&&&''''''%%%%%%&&&'''######$$$%%%&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&'''''''''&&&%%%$$$$$$%%%&&&'''''''''''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&%%%$$$%%%&&&'''((('''''''''&&&&&&%%%%%%%%%'''''''''&&&&&&%%%%%%%%%'''''''''&&&&&&%%%%%%%%%)))(((&&&%%%$$$%%%&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&''''''$$$!!!"""$$$&&&%%%$$$'''''''''&&&&&&%%%%%%%%%###$$$&&&'''''''''&&&&&&)))((((((''''''&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&((('''&&&''')))******))))))(((''''''''''''(((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%'''%%%######%%%&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%$$$#########$$$%%%&&&&&&%%%$$$$$$$$$%%%&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(((((((((''''''%%%$$$$$$%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$&&&%%%$$$""""""$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&((((((&&&%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%&&&'''((($$$$$$%%%&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&'''''''''%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%&&&'''(((&&&&&&''''''''''''&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((((((''''''''''''((((((((((((((('''%%%%%%''')))(((((('''''''''&&&&&&&&&&&&'''((('''&&&%%%&&&(((******)))((((((((((((((())))))))))))(((((((((((())))))+++++++++)))'''&&&***************************++++++++++++++++++,,,++++++***))))))***++++++***))))))))))))+++,,,---***+++---......---+++***))))))))))))))))))))))))((((((((()))))))))******'''''''''((()))*********((((((((((((((((((((((((''''''''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''((((((''''''''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''%%%&&&'''&&&%%%$$$%%%&&&$$$%%%%%%%%%&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&'''((((((((((((''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%((('''&&&%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''(((%%%######%%%'''&&&%%%'''''''''&&&&&&%%%%%%%%%$$$%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%''''''''')))******(((%%%******)))''''''&&&&&&&&&((('''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&,,,***'''&&&'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$#########$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######"""!!!%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%&&&&&&%%%%%%%%%&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%&&&''''''%%%%%%&&&''''''''''''&&&$$$$$$%%%%%%&&&&&&''''''%%%&&&'''(((((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((%%%&&&&&&''''''&&&&&&%%%&&&'''(((((())))))((((((&&&&&&&&&''''''''''''(((((((((''''''''''''(((((()))'''&&&&&&((())))))((((((((((((''''''''''''&&&%%%&&&''''''%%%%%%&&&'''***))))))((((((((((((((((((((((((((()))))))))))))))*********)))(((&&&%%%******+++++++++++++++++++++++++++++++++*********++++++***))))))***+++++++++******)))******++++++***+++,,,------,,,+++***************************((((((''''''(((((()))***''''''(((((())))))******''''''''''''''''''''''''&&&&&&''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''((((((''''''''''''((((((''''''''''''''''''''''''((((((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((((((%%%&&&'''&&&$$$######$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''((((((((((((((((((''''''''''''&&&&&&&&&&&&%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''((('''%%%%%%&&&''''''&&&'''''''''&&&&&&&&&&&&&&&$$$%%%&&&'''''''''&&&&&&######$$$%%%%%%&&&''''''((((((((('''&&&&&&%%%%%%)))(((((((((******(((&&&***)))(((''''''&&&&&&'''''''''&&&%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''---+++)))((('''((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%$$$$$$$$$#########$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&'''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%&&&%%%$$$$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%&&&'''$$$%%%%%%&&&&&&&&&&&&&&&######$$$$$$%%%&&&''''''&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''&&&'''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''(((((()))%%%%%%&&&&&&&&&&&&%%%%%%&&&'''(((((())))))((((((&&&&&&&&&''''''''''''((((((''''''&&&&&&''''''((()))&&&%%%&&&)))+++***'''((((((((('''''''''''''''((()))***)))(((((((((***))))))(((((((((((())))))(((((((((((())))))))))))'''((()))******))))))(((+++++++++++++++,,,,,,,,,,,,,,,++++++******))))))+++******************+++++++++************************+++,,,,,,,,,++++++************************(((''''''&&&'''((())))))'''((((((((()))))))))***''''''''''''''''''''''''%%%&&&&&&''''''(((((()))''''''''''''''''''''''''''''''''''''''''''''''''(((''''''&&&&&&''''''((('''''''''''''''''''''''')))((((((''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((%%%&&&&&&%%%###""""""###&&&&&&&&&%%%%%%%%%%%%%%%''''''((((((((((((''''''&&&%%%%%%%%%%%%&&&''''''$$$%%%&&&''''''&&&%%%$$$&&&&&&&&&'''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%&&&&&&''''''((((((''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''&&&&&&'''''''''''''''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((((((((((((''''''''''''***(((%%%$$$&&&'''''''''((((((''''''''''''((((((&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((()))&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$###"""######$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&'''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''((())))))))))))$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$######$$$&&&'''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&######$$$%%%%%%%%%%%%%%%######$$$$$$%%%&&&'''''''''&&&$$$###$$$%%%&&&(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''&&&&&&'''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((((()))(((%%%&&&&&&''''''&&&&&&%%%"""######$$$$$$$$$$$$$$$&&&&&&&&&''''''''''''(((''''''&&&&&&&&&&&&''''''(((&&&$$$&&&***+++)))'''(((((((((((((((((((((((()))***++++++***)))***+++))))))(((((((((((())))))'''((((((((()))))))))***))))))************************+++++++++,,,,,,,,,+++++++++******)))))))))*********++++++************+++++++++*********))))))******+++,,,,,,,,,,,,************************'''''''''''''''(((((()))(((((((((((())))))))))))''''''''''''''''''''''''%%%&&&&&&&&&''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''((('''''''''&&&&&&%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''%%%&&&&&&%%%###""""""###%%%%%%%%%%%%$$$$$$$$$$$$''''''((())))))(((''''''&&&%%%%%%%%%%%%&&&''''''$$$%%%&&&''''''&&&%%%$$$&&&&&&&&&'''''''''((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&&&&&&&''''''((()))******(((%%%"""!!!###%%%&&&'''(((((('''''''''(((((()))%%%%%%%%%%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&&&&'''(((((())))))&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%###$$$&&&%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$######$$$%%%%%%%%%$$$$$$######$$$%%%&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&%%%$$$""""""###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&"""###$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&''''''(((&&&$$$"""###$$$''')))''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((()))(((((((((&&&''''''''''''''''''&&&###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&''''''''''''(((''''''&&&&&&&&&&&&''''''&&&&&&&&&'''(((((('''&&&'''(((((((((((()))))))))((()))******(((((()))***((((((((((((((())))))***''''''(((((())))))******---,,,,,,+++***))))))((())))))******+++,,,,,,,,,***************))))))))))))***++++++++++++***))))))******+++++++++******))))))******++++++,,,,,,************************&&&'''((())))))))))))((((((((((((((())))))))))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&'''&&&$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((())))))((('''&&&&&&%%%%%%%%%%%%&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&'''(((((((((''''''''''''''''''''''''$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%&&&&&&&&&&&&'''%%%%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%''''''%%%$$$%%%&&&'''''''''''''''(((((((((''''''&&&%%%%%%%%%&&&&&&''''''&&&%%%$$$$$$######$$$%%%&&&'''(((***++++++'''%%%$$$$$$&&&(((((((((***)))(((''''''&&&''''''%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&''''''(((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((('''&&&%%%$$$$$$###"""%%%((()))'''&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%$$$###""""""###$$$&&&''''''&&&&&&###$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###!!!###$$$%%%%%%%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%'''''''''&&&%%%$$$###"""%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&((())))))(((&&&%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''((((((((('''''''''(((((())))))((((((''''''((())))))******))))))&&&&&&&&&''''''''''''((('''&&&&&&%%%%%%&&&&&&'''$$$&&&''''''&&&%%%$$$%%%'''((((((((())))))))))))''')))***)))((('''((()))((((((((((((((()))******'''''''''((()))*********++++++***)))))))))))))))(((((())))))***++++++,,,))))))))))))************)))***++++++++++++***)))((()))***+++,,,,,,++++++)))))))))******+++,,,---))))))))))))))))))))))))&&&''')))++++++***)))'''))))))))))))(((((((((((((((((((((((((((((((((((((((''''''&&&&&&%%%%%%$$$''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%&&&&&&&&&%%%&&&'''&&&%%%$$$%%%&&&%%%&&&&&&''''''(((((((((%%%&&&((())))))(((&&&%%%&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%&&&&&&'''(((((()))''''''''''''''''''''''''$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&'''''''''(((%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''%%%&&&'''(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%$$$&&&))))))'''%%%&&&'''&&&'''''''''((((((((()))((('''&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&'''(((((())))))''''''(((***,,,---+++***,,,+++)))(((&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$$$$%%%&&&&&&(((''''''&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''))))))((('''%%%$$$###"""!!!&&&'''&&&$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$#########$$$$$$%%%%%%&&&$$$%%%%%%&&&%%%$$$"""!!!"""###$$$&&&''''''&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%$$$######$$$%%%&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%(((((('''&&&%%%###"""!!!%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''&&&&&&%%%&&&((()))))))))((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&((())))))(((&&&%%%'''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''((((((((('''&&&(((((())))))))))))((((((&&&''''''(((((((((((((((&&&&&&&&&'''''''''(((((('''&&&&&&%%%%%%&&&&&&'''###&&&)))(((%%%"""###$$$'''((((((((())))))******(((***+++***)))((()))+++((((((((((((((()))******&&&''''''((()))******+++&&&&&&&&&'''(((***+++,,,'''(((((()))******++++++(((((())))))******++++++)))***+++,,,,,,+++***)))'''(((***+++,,,,,,,,,+++))))))))))))***+++,,,---((((((((((((((((((((((((%%%'''***------+++)))'''))))))))))))(((((((((((())))))))))))))))))))))))(((((('''&&&%%%$$$$$$###''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''''''''(((((())))))******''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$&&&''''''%%%%%%&&&(((&&&''''''((()))***++++++%%%&&&'''))))))'''&&&%%%&&&%%%%%%%%%%%%&&&''''''''''''%%%$$$$$$%%%''''''%%%%%%&&&&&&'''((())))))''''''''''''''''''''''''$$$%%%&&&'''''''''&&&%%%&&&'''''''''(((((())))))%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&'''''''''%%%&&&((()))))))))((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%$$$(((******(((&&&'''(((&&&'''''''''(((((())))))((('''&&&%%%$$$%%%%%%&&&%%%&&&&&&''''''(((((()))&&&&&&&&&'''''''''''''''&&&&&&'''''''''''''''&&&&&&'''''''''''''''&&&&&&$$$$$$&&&'''((()))))))))$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$###$$$$$$%%%&&&''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!$$$######""""""######$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%"""######$$$$$$%%%%%%&&&$$$%%%&&&'''''''''&&&%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$#########&&&&&&$$$$$$$$$$$$&&&&&&&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###!!!!!!"""$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((('''''''''&&&&&&&&&%%%&&&''''''((((((''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&''''''''''''(((''''''&&&&&&&&&%%%%%%%%%)))(((&&&%%%&&&''')))+++((((((((((((((('''''''''((((((''''''''''''(((((()))***+++++++++)))((('''(((((((((((())))))))))))******+++++++++******)))))))))))))))***************...))))))---)))))))))))))))((((((((((((++++++***))))))(((((()))(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((('''&&&%%%%%%&&&'''(((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&((('''&&&&&&'''(((***+++''''''''''''((((((((((((%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&'''''''''(((((((((%%%###$$$'''((('''%%%$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&%%%$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$((('''%%%$$$###$$$%%%%%%''''''&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''))))))******((('''%%%###%%%$$$$$$&&&((())))))(((%%%&&&'''(((((('''&&&%%%'''''''''&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&'''(((((()))'''%%%$$$$$$&&&)))***'''''''''&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&$$$$$$$$$$$$$$$%%%&&&'''))))))((('''&&&%%%%%%$$$'''&&&$$$$$$$$$$$$&&&''''''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''&&&&&&'''''''''''''''&&&&&&'''''''''''''''&&&&&&$$$%%%&&&'''''''''''''''$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%$$$###&&&&&&&&&'''&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########"""""""""%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''''''''&&&%%%#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$###############$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%###""""""###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&''''''''''''(((''''''&&&&&&&&&%%%%%%%%%((('''&&&&&&&&&'''((()))'''''''''''''''&&&&&&&&&((((((''''''''''''(((((()))))))))))))))(((''''''(((((((((((())))))))))))(((((()))*********))))))(((((()))))))))*********&&&***&&&'''***&&&((((((((((((((((((((((((***))))))((()))***,,,,,,((((((((()))))))))******))))))))))))))))))))))))))))))))))))))))))))))))(((((('''&&&&&&'''((((((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&'''''''''&&&''''''((((((''''''''''''((((((((((((''''''''''''''''''''''''&&&&&&&&&'''''''''(((((()))'''$$$$$$&&&'''%%%$$$&&&&&&'''''''''((((((((('''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&%%%%%%'''&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&''''''(((((('''&&&%%%'''&&&%%%&&&(((((((((&&&'''((()))******)))((('''''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&''''''(((&&&&&&&&&&&&'''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''(((''''''&&&%%%%%%$$$$$$&&&%%%%%%%%%%%%%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&''''''(((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''&&&'''''''''''''''&&&&&&&&&&&&'''''''''''''''&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&&&&&&&%%%%%%$$$''''''''''''&&&%%%$$$###&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&'''''''''(((((('''&&&&&&%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######!!!!!!"""###$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&$$$###$$$%%%&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&''''''((((((''''''))))))(((((('''''''''&&&&&&&&&&&&''''''''''''(((''''''&&&&&&&&&%%%%%%%%%'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''(((((()))(((((('''''''''''''''(((((((((((())))))))))))&&&'''(((((())))))))))))(((((())))))))))))******&&&***)))######***---)))((())))))******+++++++++,,,+++***))))))***,,,---)))))))))*********++++++)))))))))))))))))))))))))))))))))))))))))))))))))))((((((''''''(((((()))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&&&&''''''''''''&&&&&&%%%&&&''''''''''''(((((((((((('''&&&%%%%%%&&&'''(((&&&&&&&&&'''''''''''''''***(((&&&%%%%%%%%%$$$###'''''''''(((((()))))))))&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''&&&&&&'''&&&%%%%%%$$$%%%%%%%%%###$$$$$$%%%&&&'''((()))&&&%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''''''''''''''$$$$$$%%%&&&''''''&&&&&&)))(((''''''((((((&&&%%%'''((())))))))))))(((''''''&&&&&&&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&'''''''''###$$$&&&(((((('''&&&%%%'''''''''&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&(((((()))***)))((('''&&&&&&&&&&&&%%%%%%$$$$$$###%%%%%%&&&&&&&&&&&&%%%%%%'''&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&'''((())))))***((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&'''''''''''''''(((''''''&&&%%%%%%&&&''''''((('''''''''%%%&&&&&&&&&%%%%%%$$$###$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&&&&&&&&&&%%%%%%&&&'''''''''&&&&&&%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$#########$$$$$$%%%%%%&&&&&&&&&&&&''''''''''''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######"""######$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&''''''((('''''''''******)))(((((('''''''''&&&&&&&&&''''''''''''(((''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$&&&&&&&&&&&&&&&'''''''''((((((''''''''''''((((((***)))'''&&&&&&'''((()))(((((((((((())))))))))))&&&&&&'''((())))))))))))(((((((((((()))))))))***&&&******'''(((---...+++******++++++,,,---......222000,,,***(((((()))***)))*********++++++++++++))))))))))))))))))))))))(((((((((((((((((((((((())))))(((((((((((())))))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&&&&&&&'''((('''&&&$$$###&&&&&&&&&'''''''''((((((&&&%%%###""""""###%%%&&&'''''''''''''''''''''''')))(((&&&%%%%%%%%%%%%$$$&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&$$$$$$%%%%%%&&&'''(((((('''&&&&&&%%%%%%&&&&&&'''%%%%%%$$$$$$$$$$$$%%%%%%''''''''''''''''''''''''%%%%%%&&&&&&'''''''''''')))'''&&&'''((()))'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''###$$$&&&'''''''''&&&%%%'''''''''''''''&&&&&&&&&&&&&&&''''''''''''&&&&&&((()))***+++***(((&&&%%%&&&&&&&&&%%%%%%%%%%%%%%%$$$%%%&&&''''''&&&%%%$$$'''&&&&&&%%%%%%%%%&&&&&&%%%&&&''''''((()))******((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''''''''(((((('''&&&&&&%%%%%%&&&&&&'''((((((''''''&&&&&&&&&&&&%%%$$$######$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&''''''&&&&&&&&&$$$%%%&&&&&&'''''''''&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""""""""###############%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&#########$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%&&&''''''((('''''''''((((((((((((''''''&&&&&&&&&&&&&&&''''''''''''(((''''''&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&%%%%%%&&&&&&''''''((((((((((((((((((''''''''''''((((((******((((((((()))***+++(((((((((((())))))))))))'''((())))))*********)))'''(((((((((((()))))))))###&&&'''''''''******((()))))))))***+++,,,------111///---***)))((()))))))))*********++++++++++++))))))))))))))))))))))))(((((((((((((((((((((((((((((())))))))))))((((((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&&&&&&&'''((('''&&&$$$###&&&&&&&&&&&&''''''''''''&&&%%%###""""""###%%%&&&'''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&''''''&&&&&&%%%$$$###""""""$$$%%%%%%&&&&&&'''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''((((((&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''''''''''''''(((((((((''''''''''''''''''&&&%%%''')))******)))&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&''')))***)))'''%%%$$$&&&&&&&&&&&&''''''''''''%%%%%%'''(((((('''%%%%%%&&&&&&&&&%%%%%%&&&''''''&&&&&&&&&'''((())))))***((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''(((((((((((('''&&&%%%%%%%%%%%%&&&'''((((((((((((&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&''''''''''''&&&###$$$%%%&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$#########$$$$$$$$$%%%%%%$$$$$$%%%&&&&&&'''(((((($$$$$$$$$$$$$$$%%%&&&&&&"""#########$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''$$$%%%%%%%%%%%%%%%%%%&&&############$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%###"""###$$$%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&'''''''''''''''''''''&&&&&&&&&''''''''''''(((''''''&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&''''''((()))))))))((((((''''''''''''((((((***))))))))))))******+++(((((((((((()))))))))))))))))))))******))))))(((''''''(((((((((((())))))'''((())))))************&&&'''''''''((()))))))))++++++*********+++++++++)))))))))*********++++++))))))))))))))))))))))))))))))))))))))))))))))))'''(((((())))))(((((('''((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&'''''''''((('''&&&%%%%%%&&&'''((('''''''''''''''&&&&&&&&&$$$%%%&&&&&&%%%%%%''')))(((((('''&&&%%%$$$$$$###$$$$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%&&&''''''''''''&&&''''''&&&&&&&&&%%%%%%%%%))))))(((((((((((())))))'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''***)))((('''''''''''''''&&&&&&%%%''')))++++++***((((((''''''''''''((((((%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((()))'''''''''''''''(((((((((&&&&&&''''''''''''&&&&&&%%%&&&'''''''''&&&%%%$$$&&&&&&&&&''''''(((((((((&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''(((&&&&&&&&&'''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''(((((((((((('''&&&%%%$$$$$$%%%&&&'''((((((((((((&&&&&&'''''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&'''''''''''''''%%%%%%&&&&&&'''&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''(((((()))))))))%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$((('''%%%$$$$$$$$$&&&'''$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$#########$$$%%%&&&############$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$############$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$###"""###$$$%%%$$$"""%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%!!!"""###$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&''''''(((''''''&&&%%%$$$###""""""%%%&&&''''''((((((''''''%%%&&&&&&''''''(((((((((&&&&&&&&&''''''''''''(((''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%&&&(((***+++%%%%%%&&&''''''((())))))((((((''''''''''''(((((('''(((((()))******))))))(((((((((((())))))))))))))))))))))))((('''&&&&&&'''''''''((((((((()))))),,,++++++------,,,,,,,,,''''''(((((((((((((((((('''(((***++++++++++++***((((((((()))))))))******))))))))))))))))))))))))))))))))))))))))))))))))&&&'''(((((((((((('''&&&((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&'''''''''&&&''''''((((((%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''(((((('''''''''&&&&&&&&&%%%'''(((&&&$$$###%%%(((&&&'''''''''''''''''''''###$$$%%%'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''$$$%%%'''((((((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&((((((''''''''''''(((((((((''''''&&&&&&''''''(((''''''''''''''''''''''''''''''&&&&&&&&&'''((()))((('''&&&''')))******)))(((''''''&&&&&&''''''(((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))))))))((('''&&&'''''''''((((((((()))&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''$$$$$$%%%&&&&&&'''((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&'''((((((&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''(((((((((((('''&&&%%%$$$$$$%%%&&&'''((((((((((((&&&&&&''''''(((''''''&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&'''((((((((('''''''''''''''&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$***)))'''%%%$$$%%%&&&'''$$$##################$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$######"""%%%$$$#########$$$%%%&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$"""############$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$############$$$%%%&&&&&&'''(((%%%%%%%%%&&&&&&'''''''''$$$$$$&&&&&&&&&&&&$$$$$$$$$###"""###$$$$$$$$$"""%%%%%%%%%%%%%%%%%%%%%%%%'''(((((()))***+++,,,,,,%%%%%%%%%%%%%%%%%%%%%%%% !!!"""###$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$%%%&&&&&&'''((('''&&&%%%$$$###!!! %%%&&&''''''((((((''''''%%%%%%&&&'''((()))******&&&&&&&&&'''''''''((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%&&&))),,,---$$$$$$%%%%%%&&&'''((((((((((((''''''''''''((((((%%%&&&((()))))))))((('''(((((((((((()))))))))))))))))))))((('''&&&$$$$$$''''''''''''((((((((()))***))))))******(((((()))+++++++++***************((()))+++,,,+++***'''&&&(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))%%%&&&'''(((((('''&&&%%%((((((((((((((((((((((((&&&''''''''''''''''''&&&((('''&&&&&&'''(((***+++%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%(((((('''''''''&&&&&&&&&'''))))))'''$$$"""$$$&&&######$$$%%%&&&'''((()))"""$$$%%%'''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''(((((($$$%%%'''(((((((((''''''###$$$$$$%%%&&&'''((((((''''''&&&&&&&&&&&&''''''((((((''''''''''''((((((''''''''''''''''''''''''$$$$$$$$$$$$%%%''')))******)))(((((())))))((('''&&&%%%$$$$$$$$$$$$%%%&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&***,,,---+++(((&&&&&&'''''''''(((((())))))&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&'''((()))######$$$%%%&&&&&&''''''((('''&&&%%%%%%&&&'''(((&&&&&&&&&&&&&&&'''((()))'''&&&&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''((('''&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&%%%&&&'''((())))))))))))''''''''''''''''''''''''(((((('''&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%&&&'''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''(((((($$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$(((''''''&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########%%%%%%%%%$$$$$$#########&&&%%%%%%$$$#########$$$&&&&&&%%%$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$########################&&&&&&&&&''''''((((((((()))&&&######%%%&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#####################$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((()))(((''''''''')))***+++&&&&&&&&&&&&&&&&&&&&&&&&"""'''------((($$$$$$&&&&&&'''(((((('''%%%###"""''''''&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&))))))(((((((((((())))))***)))))))))(((((('''''',,,+++***))))))***+++,,,+++***)))(((((()))***+++++++++******************((())))))))))))*********)))))))))))))))******+++(((((())))))))))))(((((())))))))))))))))))))))))******))))))((((((''''''&&&''''''(((((((((((((((---+++(((%%%%%%&&&)))+++((((((((((((((('''''''''''''''((((((((('''%%%$$$'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''+++***(((&&&%%%%%%%%%%%%'''%%%$$$&&&)))***(((%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&%%%$$$$$$$$$'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''((((((((((((((((((((((((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&'''((()))###%%%'''))))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&(((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%$$$###"""((((((((('''&&&&&&&&&%%%&&&&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&(((***,,,***&&&$$$%%%&&&(((((((((((('''&&&%%%$$$''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&'''((('''%%%$$$%%%&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&((('''''''''&&&&&&&&&&&&$$$%%%&&&'''((((((((((((''''''''''''''''''''''''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&''''''((($$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%$$$$$$$$$######&&&%%%$$$$$$######$$$$$$&&&%%%$$$######$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&***'''$$$$$$&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''')))((((((''''''((()))***&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''''''''''''''''''''''''''&&&%%%$$$###''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''))))))(((((((((((())))))************))))))((((((***)))(((''''''((()))*********)))(((((()))******************************)))))))))************+++)))))))))))))))******+++((())))))******))))))((()))))))))))))))))))))))))))))))))(((((((((((((((&&&&&&'''(((((((((((((((+++***'''&&&%%%&&&((()))((((((((((((''''''''''''&&&'''((((((((('''%%%$$$(((((((((''''''''''''&&&%%%%%%%%%&&&&&&&&&'''''')))((('''&&&%%%&&&''''''(((&&&%%%&&&)))***)))''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''&&&&&&&&&''''''(((%%%&&&'''((((((((('''&&&''''''''''''''''''''''''(((((('''&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%$$$######'''''''''''''''&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&(((***)))'''&&&&&&((((((((((((((('''&&&%%%$$$''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&'''((('''%%%$$$%%%&&&'''''''''&&&&&&&&&%%%%%%(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((''''''%%%$$$$$$$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&&&&''''''$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$""""""###$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%$$$$$$$$$$$$###%%%%%%$$$$$$######$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%)))'''%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''))))))((('''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&(((%%%###$$$'''))))))((((((''''''&&&%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''))))))(((((((((((())))))))))))))))))(((((((((((())))))(((((((((((())))))***))))))(((((())))))***************************)))************+++++++++)))))))))))))))******+++)))******************)))))))))))))))))))))))))))(((((((((((((((((())))))&&&&&&'''(((((((((((('''(((((('''&&&&&&&&&''''''''''''''''''''''''''''''&&&'''((((((((('''&&&%%%***))))))))))))(((((((((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&'''((()))((('''%%%&&&'''))))))((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''((((((((('''&&&&&&&&&'''''''''''''''''''''&&&&&&&&&(((((((((((((((((((((((((((((('''&&&&&&&&&&&&''''''''''''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&'''&&&&&&%%%$$$###&&&&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&((((((''''''((()))(((((((((((('''&&&%%%%%%''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&'''''''''%%%$$$%%%&&&'''''''''''''''&&&&&&&&&+++***((('''&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((((('''%%%$$$###$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$%%%###########################$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''))))))((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((('''&&&%%%$$$%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''''''''''''''))))))(((((((((((())))))''''''''''''''''''''''''+++******************+++)))))))))(((((()))))))))))))))))))))************************++++++++++++)))))))))))))))******+++******++++++++++++******))))))))))))))))))))))))&&&''''''(((((()))))))))%%%&&&''''''((((((''''''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''''''''(((&&&&&&'''(((((('''&&&%%%))))))))))))((((((((((((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&''''''((((((((('''%%%%%%&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&&&&''''''''''''((()))((('''&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''(((''''''&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%$$$$$$%%%&&&&&&&&&'''((((((((((((((((((''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%&&&'''(((''''''''''''''''''(((((('''&&&&&&%%%''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%&&&''''''%%%%%%%%%''''''''''''''''''''''''''''''***...000///,,,'''###&&&&&&&&&&&&&&&&&&&&&&&&###%%%&&&(((((('''%%%$$$###$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''''''''''''''''''''''''''&&&%%%$$$###$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$###$$$$$$%%%%%%#################################$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""#########$$$$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''')))(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& %%%'''%%%$$$%%%'''((('''&&&%%%$$$%%%&&&'''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&'''''''''(((((())))))(((((((((((())))))((((((((((((((((((((((((*********++++++*********((((((((())))))((((((((((((((()))))))))*********))))))*********+++++++++)))))))))))))))******+++******++++++++++++******((((((((((((((((((((((((&&&&&&''''''(((((())))))%%%&&&&&&'''''''''''''''$$$%%%&&&''''''&&&%%%%%%%%%&&&&&&&&&''''''((((((%%%&&&'''(((((('''&&&&&&(((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&&&&''''''''''''((()))((('''&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&''''''(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&%%%%%%%%%&&&&&&&&&'''((((((((((((((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&%%%'''''''''(((''''''&&&%%%''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%&&&'''&&&%%%%%%&&&'''&&&&&&'''''''''''''''''''''///999@@@???777+++"""&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&''''''&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$###""""""%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$$$$$$$%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%%%%######$$$%%%%%%$$$###############$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############!!!###%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""######$$$$$$%%%&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&"""%%%###"""%%%)))'''&&&&&&%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&'''((((((((())))))(((((((((((())))))************++++++++++++(((((())))))))))))(((((('''(((((())))))((((((''''''(((((())))))*********((())))))))))))*********)))))))))))))))******+++)))******************)))((((((((((((((((((((((((''''''''''''''''''((((((%%%%%%&&&''''''''''''&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&''''''((((((%%%&&&'''((((((((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((((('''&&&%%%%%%$$$&&&''''''%%%$$$$$$%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%&&&''')))***%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&''''''''''''((((((((('''&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&&&&'''&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&'''''''''((('''&&&&&&''''''%%%###&&&'''''''''''''''&&&&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%$$$&&&'''&&&%%%%%%&&&(((%%%%%%%%%&&&&&&&&&&&&&&&,,,111888===<<<555,,,&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%'''((('''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%&&&###$$$%%%&&&&&&%%%$$$###"""######$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""""" ###&&&&&&$$$###$$$%%%########################""""""###$$$$$$%%%&&&&&&&&&%%%###""""""###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&"""$$$$$$%%%'''(((%%%%%%&&&&&&'''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&'''(((((()))))))))(((((((((((()))))))))))))))*********++++++'''((()))******)))((('''''''''((())))))(((''''''''''''(((((()))******+++''''''((((((((())))))))))))))))))))))))******+++((())))))******))))))(((((((((((((((((((((((((((''''''''''''''''''&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&'''''''''((($$$$$$%%%&&&&&&'''(((((($$$%%%'''((((((((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%&&&'''((((((((('''&&&$$$'''***+++(((&&&%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%&&&((()))***%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&''''''''''''(((''''''&&&&&&&&&''''''(((%%%&&&'''((((((((('''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((((((((((((((('''''''''&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&'''''''''''''''&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''(((&&&%%%$$$%%%(((((('''$$$&&&&&&'''''''''''''''&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%$$$%%%'''&&&%%%%%%&&&((($$$$$$$$$%%%%%%%%%&&&&&&,,,,,,***)))''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$%%%&&&'''&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%$$$$$$%%%%%%&&&'''########################%%%%%%&&&'''&&&%%%###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&(((((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%$$$#########$$$%%%%%%&&&$$$%%%&&&&&&&&&&&&%%%$$$""""""###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$!!!$$$''''''%%%$$$%%%'''##############################$$$%%%%%%&&&''''''&&&%%%###""""""###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&'''''''''$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%'''(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&)))'''%%%&&&'''(((((('''$$$%%%&&&'''''''''&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&'''((())))))))))))(((((((((((())))))%%%&&&&&&&&&''''''(((((()))***+++,,,,,,+++***)))&&&'''((())))))((('''&&&&&&''''''((()))******+++''''''''''''(((((((((((()))))))))))))))******+++(((((())))))))))))(((((((((((((((((((((((((((((((((((((((''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&'''((()))$$$$$$%%%%%%&&&'''(((((($$$%%%'''(((((((((''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''###$$$&&&((()))))))))(((%%%)))---...+++'''&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&'''((()))###%%%'''))))))((('''&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&'''((()))******))))))((((((((('''(((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&'''''''''&&&&&&'''''''''''''''&&&(((((((((''''''&&&&&&%%%&&&&&&&&&''''''((((((((($$$$$$%%%%%%&&&'''(((((($$$###"""%%%(((***(((&&&&&&&&&'''''''''''''''&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&%%%%%%'''(((#########$$$$$$%%%%%%%%%(((((((((((())))))))))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''"""###$$$$$$%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&'''''''''&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$############$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&((('''%%%###!!!########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%&&&&&&'''(((((()))$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%$$$###"""!!!%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((+++***)))(((&&&&&&%%%%%%''''''((((((((((((''''''((((((''''''''''''((((((''''''''''''(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))'''''''''''''''((()))))),,,++++++***************))))))))))))))))))))))))''''''''''''''''''&&&&&&%%%&&&''''''(((((('''''')))''''''***------(((###%%%%%%%%%%%%%%%%%%%%%%%%)))((('''%%%%%%%%%&&&'''''''''''''''&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&)))(((''')))++++++)))&&&''''''&&&&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''))))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&'''''''''&&&%%%$$$'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&))))))(((((('''''''''&&&&&&&&&''''''(((((())))))''''''''''''''''''''''''&&&'''((())))))'''%%%###%%%&&&((((((%%%###+++555AAA888---'''''')))((('''''''''''''''''''''''''''((('''&&&&&&'''((('''&&&&&&&&&''''''(((''''''&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''((((((((((((&&&%%%%%%$$$$$$%%%%%%&&&&&&((()))(((&&&%%%%%%&&&%%%$$$$$$###$$$%%%'''((($$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''((((((((())))))))))))***'''''''''((((((((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''$$$%%%%%%&&&&&&&&&&&&&&&$$$%%%%%%&&&''''''((((((((('''''''''&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&%%%$$$###""""""!!!%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$######"""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''''''''((((((''''''''''''((((((''''''((((((((((((''''''((((((''''''''''''((((((((((((((())))))))))))***))))))))))))))))))))))))))))))))))))))))))))))))'''''''''''''''((())))))))))))(((''''''''''''(((((((((((((((((((((((((((''''''''''''''''''''''''%%%&&&''''''(((((('''''''''%%%$$$&&&******&&&"""&&&&&&&&&&&&&&&&&&&&&&&&))))))((('''''''''''''''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$###%%%''''''$$$"""''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&)))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&'''''''''&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))((((((((('''''''''&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''((((((((('''%%%$$$######&&&((('''(((000;;;```RRR>>>///(((&&&'''&&&''''''''''''''''''''''''((('''&&&&&&'''((('''&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''(((((((((((('''&&&&&&%%%%%%&&&&&&'''%%%'''((('''%%%$$$$$$%%%&&&&&&&&&%%%&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%###$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%&&&''''''((((((''''''%%%%%%&&&&&&'''((())))))''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''(((''''''&&&%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''&&&&&&&&&&&&&&&&&&''')))***+++''''''((((((((((((''''''((((((''''''''''''(((((())))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))(((''''''''''''(((((()))(((((('''&&&&&&&&&&&&'''((((((((((((((((((((((((''''''''''''''''''''''''%%%&&&''''''(((((('''''''''%%%###$$$'''(((&&&###''''''''''''''''''''''''((())))))))))))(((''''''%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&$$$''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$%%%'''((()))'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%'''''''''''''''''''''''''''''''''''''''&&&&&&&&&$$$$$$&&&(((((()))222===uuucccJJJ444(((%%%&&&'''''''''''''''''''''''''''((('''&&&&&&'''((('''&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&'''''''''&&&''''''''''''((((((((((((''''''&&&&&&''''''((($$$%%%'''&&&%%%###$$$%%%''''''((((((''''''&&&&&&%%%%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((('''&&&%%%%%%%%%&&&&&&&&&''''''############$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&'''''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&''''''((('''''''''&&&'''''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%&&&((()))******#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&'''''''''###$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$#########$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%$$$######$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&'''(((((($$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&''')))***+++''''''((((((((((((''''''((((((''''''''''''(((((((((((()))))))))*********((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''((()))))))))(((''''''''''''(((((((((((((((((((((((((((&&&&&&&&&'''''''''''''''%%%&&&''''''(((''''''''')))'''%%%%%%&&&(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))((('''&&&$$$$$$%%%&&&''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''(((((('''&&&'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$######$$$&&&''')))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((''''''&&&&&&%%%%%%%%%''''''''''''''''''''''''(((''''''&&&&&&&&&''''''***(((((()))''''''---666eeeWWWCCC111(((&&&((()))''''''''''''''''''''''''(((&&&&&&&&&'''((('''&&&&&&&&&&&&&&&%%%$$$######&&&&&&&&&&&&''''''''''''&&&&&&&&&'''''''''((((((''''''&&&&&&&&&&&&''''''$$$%%%''''''%%%$$$%%%%%%&&&'''(((((((((&&&%%%$$$%%%&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''(((((()))((((((''''''%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&'''''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%&&&&&&&&&&&&%%%((((((((('''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&((()))******#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&&&&%%%%%%#########$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''&&&(((((('''''''''(((((()))''''''((((((((((((''''''((((((''''''''''''(((((('''''''''((((((((())))))((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''(((((()))(((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((%%%&&&''''''(((''''''''')))'''%%%%%%%%%'''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''((('''&&&%%%$$$$$$%%%&&&''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&'''&&&$$$######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''')))(((((((((''''''&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&''''''(((+++)))((((((&&&$$$(((...CCC===444---)))((()))***''''''''''''''''''''''''(((&&&&&&&&&'''((('''&&&%%%&&&&&&&&&%%%%%%$$$###&&&&&&&&&'''''''''((((((&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&((((((&&&&&&&&&'''%%%&&&'''''''''%%%$$$"""%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%###$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%"""###$$$$$$%%%%%%$$$$$$'''''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###&&&%%%%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&%%%$$$############$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((***)))((('''''''''''''''''''''((((((((((((''''''((((((''''''''''''((((((''''''''''''(((((((((((()))))))))))))))))))))))))))))))))))))))))))))))))))((((((''''''''''''(((''''''&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''%%%%%%&&&&&&'''(((((((((%%%&&&''''''(((((('''''''''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&$$$%%%%%%&&&&&&'''''''''&&&''''''&&&%%%%%%&&&(((&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((((((((('''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''''''''%%%&&&((('''%%%''',,,******++++++***)))((((((''''''''''''''''''''''''((('''&&&&&&'''((('''&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&'''''''''(((((((((%%%&&&&&&&&&&&&'''''''''%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&(((((('''&&&'''(((%%%%%%%%%&&&%%%%%%$$$$$$&&&&&&'''(((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%"""######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%$$$&&&&&&%%%$$$###""""""!!!%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''&&&%%%$$$""""""######$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$$$$%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''((((((''''''&&&%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%&&&''''''%%%%%%%%%%%%&&&'''(((((('''''''''&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''$$$%%%%%%&&&'''((())))))))))))((('''''''''''''''''''''((((((((((((''''''((((((''''''''''''(((((('''(((((((((((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((('''''''''''''''(((''''''&&&%%%&&&&&&&&&''''''''''''''''''''''''%%%%%%&&&&&&'''(((((()))%%%&&&''''''((((((''''''&&&&&&'''&&&%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&'''&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''((('''((()))'''%%%%%%'''***&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&'''''''''''''''(((''''''''''''''''''''''''$$$%%%'''((((((((('''&&&%%%###%%%))))))&&&&&&)))###$$$'''(((((((((((((((''''''''''''''''''''''''((('''&&&&&&'''((('''&&&$$$%%%&&&'''''''''''''''''''''''''''((((((((((((%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&###%%%''''''&&&&&&&&&'''&&&%%%%%%%%%%%%&&&&&&'''&&&&&&'''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$ !!!"""###%%%&&&'''((($$$$$$$$$%%%%%%&&&&&&&&&#########$$$$$$%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&(((((((((&&&$$$###""""""###$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&!!!"""###$$$%%%&&&&&&'''########################''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%(((((('''''''''&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''+++***)))(((&&&%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$&&&'''((((((%%%%%%%%%%%%&&&'''(((((((((((('''&&&%%%$$$$$$######$$$$$$%%%&&&(((((()))%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''###$$$%%%&&&''')))******(((((('''''''''(((((()))''''''((((((((((((''''''((((((''''''''''''(((((())))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))***)))((('''''''''''''''******)))(((((((((((()))''''''''''''''''''''''''%%%%%%&&&&&&'''((())))))%%%&&&''''''((((((''''''((()))***)))(((((())))))'''''''''''''''''''''''''''&&&&&&%%%&&&'''((()))''''''''''''&&&%%%$$$$$$$$$$$$%%%%%%&&&'''((((((###$$$%%%### ###&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&& !!!###%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''###%%%'''))))))((('''&&&&&&%%%'''+++***&&&$$$&&&###$$$%%%%%%%%%%%%''')))''''''''''''''''''''''''((('''&&&&&&'''((('''&&&$$$$$$&&&'''((()))))))))''''''''''''((((((((()))%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&'''''''''"""$$$&&&&&&%%%%%%&&&''''''&&&%%%%%%&&&''')))***&&&''''''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$#########$$$%%%%%%$$$$$$$$$$$$$$$$$$########################&&&&&&&&&%%%%%%$$$$$$$$$***(((&&&######$$$&&&(((########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$)))(((&&&%%%$$$%%%&&&&&&########################&&&%%%$$$#########$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$%%%&&&&&&((('''%%%#########%%%&&&%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%$$$###"""$$$%%%%%%&&&&&&%%%%%%$$$++++++)))&&&######%%%&&&%%%%%%%%%$$$$$$#########&&&%%%$$$###$$$%%%&&&'''%%%%%%&&&''''''(((((()))%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%&&&'''(((((('''''''''''''''''''''&&&&&&&&&***)))(((&&&&&&''''''((())))))(((((('''''''''&&&))))))))))))))))))))))))(((((())))))))))))((((((******)))((('''&&&%%%%%%((((((((((((((((((((((((''''''&&&&&&&&&&&&'''''')))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&%%%%%%&&&'''((((((''''''''''''&&&&&&&&&&&&''''''))))))******)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''((((((&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########&&&%%%%%%%%%&&&'''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$)))(((&&&%%%$$$%%%%%%&&&&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''&&&%%%%%%''''''&&&%%%###$$$%%%'''((((((''''''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&%%%%%%$$$$$$$$$'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''(((((()))&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%(((((((((((((((((((((((($$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&&&&%%%%%%%%%%%%'''&&&$$$""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""#########$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$##################$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&$$$$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&&&&'''((('''%%%######$$$%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%$$$###"""$$$%%%%%%&&&&&&%%%%%%$$$(((((('''%%%""""""$$$&&&(((((((((''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&''''''&&&&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%&&&&&&'''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&***)))((('''&&&''''''((()))(((((((((''''''''''''))))))))))))))))))))))))(((((())))))))))))((((((((((((((((((((('''''''''((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''(((''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&%%%&&&&&&'''((((((''''''''''''&&&&&&&&&&&&''''''((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''((('''&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%""" """''')))'''$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$((('''&&&%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%$$$$$$'''&&&%%%%%%''''''&&&%%%######%%%&&&'''''''''&&&(((((('''''''''&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&'''''''''((('''''''''&&&&&&&&&%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$######$$$$$$#########$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######""""""""""""######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&''''''''''''&&&%%%$$$###$$$%%%&&&''''''&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%$$$######$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%###!!!!!!###%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''((((((''''''&&&%%%&&&''''''((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&))))))(((''''''''''''(((((((((((((((''''''''''''))))))))))))))))))))))))(((((())))))))))))((((((&&&'''''''''(((((())))))((((((((((((((((((((((((''''''&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''''''''''''''%%%&&&''''''((('''''''''''''''&&&&&&&&&&&&''''''((('''&&&%%%&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$'''+++'''"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%&&&''''''&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$'''&&&%%%%%%''''''&&&%%%######$$$%%%&&&&&&&&&&&&'''''''''''''''&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&''''''''''''((((((''''''''''''&&&&&&'''&&&&&&&&&&&&%%%%%%%%%######$$$%%%&&&'''((((((''''''&&&%%%%%%$$$######(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%""""""###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&''''''((((((&&&&&&%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$###""""""$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''%%%%%%&&&''''''(((((()))%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&'''''''''''''''&&&''''''''''''''''''(((((()))(((((((((''''''''''''((((((((((((((('''''''''(((((((((((((((((((((((((((((())))))))))))((((((''''''''''''((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&'''(((((((((&&&&&&'''''''''''''''&&&'''&&&&&&%%%%%%&&&&&&''''''&&&$$$$$$$$$&&&((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&########################$$$!!!!!!&&&(((&&&###'''&&&&&&&&&&&&&&&&&&'''%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&''''''(((&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''(((((((((''''''&&&&&&%%%'''&&&%%%%%%''''''&&&%%%###$$$$$$%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%&&&&&&''''''(((((('''''''''&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%(((((((((((((((((((((((($$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$$$$%%%'''(((((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&''''''''''''((((((%%%%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%%%%$$$$$$%%%'''''''''((((((((((((((((((%%%%%%&&&&&&&&&'''''''''%%%%%%&&&''''''(((((()))%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&''''''(((((())))))))))))(((((((((((((((''''''&&&'''''''''((((((((((((((((((((((((((((((((((((((((((((())))))))))))((((((((((((((((((''''''''''''((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&''''''''''''&&&'''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%$$$###$$$%%%((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%$$$$$$$$$%%%((((((''''''''''''((((((%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&'''''''''&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''(((((((((''''''&&&&&&&&&'''&&&%%%%%%''''''&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%(((((((((((((((((((((((($$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&''''''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%&&&$$$$$$######$$$$$$%%%%%%#########$$$$$$%%%%%%&&&####################################$$$$$$$$$$$$"""###$$$%%%&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&%%%%%%%%%###########################$$$%%%&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''''''''''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$$$$%%%%%%######$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$&&&'''&&&%%%%%%&&&'''&&&&&&&&&'''''''''''''''%%%%%%&&&''''''''''''&&&'''&&&&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%&&&&&&&&&&&&'''''''''(((''''''&&&%%%'''''''''((())))))******((((((((()))(((''''''&&&'''''''''((((((((((((((())))))))))))))))))))))))(((((())))))))))))(((((())))))(((((('''''''''&&&((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&&&&&&&&&&&&&'''''''''(((''''''&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&'''&&&%%%$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((%%%(((***((($$$"""$$$''')))((('''&&&&&&'''((()))&&&&&&''''''''''''&&&&&&%%%%%%&&&'''''''''&&&&&&&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%''''''&&&%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&&&&'''))))))((('''&&&%%%$$$$$$######$$$$$$%%%&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&"""$$$%%%''''''&&&%%%$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&''''''&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&"""###$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&'''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&"""###$$$%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$&&&''''''%%%$$$%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%'''((((((((('''&&&'''&&&&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&''''''''''''''''''(((((('''&&&&&&%%%%%%%%%%%%&&&'''((((((((('''((()))))))))(((&&&&&&''''''''''''((((((((()))))))))))))))))))))))))))(((((())))))))))))(((((('''''''''(((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&&&&%%%%%%''''''(((((('''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((&&&'''((('''&&&%%%&&&''''''&&&%%%$$$$$$%%%&&&'''&&&&&&''''''''''''&&&&&&%%%&&&'''''''''&&&%%%$$$&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''###$$$$$$%%%%%%&&&&&&&&&'''&&&%%%%%%''''''&&&%%%(((((('''&&&&&&&&&'''(((&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''((((((''''''&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&"""###%%%'''''''''%%%$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&''''''&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&$$$#########$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''(((((((((%%%%%%%%%&&&&&&'''''''''########################%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$'''''''''(((((((((((()))%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&'''((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%!!!"""###%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&%%%###$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''"""###$$$%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$&&&''''''%%%$$$$$$$$$'''''''''(((((()))))))))%%%%%%'''((((((((('''&&&%%%%%%&&&''''''(((((()))%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''(((((((((((('''((((((((('''&&&%%%%%%######$$$%%%%%%&&&'''''''''((()))))))))(((&&&%%%&&&'''''''''(((((())))))))))))))))))))))))))))))(((((())))))))))))((((((%%%%%%&&&'''((()))***+++(((((((((((((((((((((((('''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%$$$$$$'''((((((((('''&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''((((((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((((((''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&#########$$$$$$%%%%%%%%%&&&%%%$$$%%%'''((('''&&&&&&%%%###""""""###%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&'''((('''&&&$$$###&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&'''((())))))'''&&&%%%%%%''''''&&&%%%))))))'''&&&&&&'''((()))&&&&&&&&&'''''''''((((((((((((((((((((((((((((((&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&'''''''''((((((%%%%%%%%%&&&&&&'''''''''&&&&&&'''''''''''''''''')))((((((''''''&&&&&&%%%(((((('''''''''&&&&&&&&&))))))))))))))))))))))))''''''&&&&&&&&&%%%%%%%%%(((((((((((((((((((((((($$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$###!!!!!!"""$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%)))'''%%%#########$$$%%%+++'''######%%%'''&&&%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$######""""""""""""###$$$%%%%%%&&&&&&%%%$$$###""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%&&&&&&%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$$$$%%%&&&%%%$$$&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ###$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$############$$$$$$$$$%%%%%%%%%%%%$$$###!!!&&&&&&&&&%%%%%%$$$$$$$$$ !!!###%%%&&&%%%$$$"""&&&$$$"""$$$&&&(((&&&$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''''''''''''''&&&&&&%%%$$$$$$%%%%%%%%%""""""!!!###%%%'''&&&&&&'''&&&$$$######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''''')))&&&$$$%%%''')))(((&&&&&&&&&'''((()))***++++++))))))))))))(((((((((((()))))))))))))))*********((((((((((((''''''''''''%%%'''(((((('''''')))***((((((((((((((((((((((((''''''(((((('''&&&%%%%%%(((''''''&&&&&&%%%%%%$$$+++)))'''%%%$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&))))))((('''&&&%%%%%%$$$'''''''''&&&&&&%%%%%%%%%'''''''''&&&&&&%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%(((((('''''''''&&&&&&&&&)))(((((((((((('''''''''&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%!!!"""###$$$%%%&&&&&&&&&"""$$$&&&&&&&&&&&&((()))%%%%%%%%%&&&&&&&&&'''''')))(((&&&%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''&&&&&&&&&%%%%%%%%%%%%&&&&&&'''''''''---+++(((((()))((($$$!!!$$$$$$$$$%%%%%%&&&&&&&&&((('''&&&%%%%%%&&&'''((()))(((&&&%%%$$$$$$%%%&&&%%%&&&'''(((((('''&&&%%%'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''))))))(((((('''''''''&&&%%%%%%%%%&&&&&&'''''''''((('''&&&%%%$$$%%%%%%&&&************************%%%%%%&&&&&&%%%%%%$$$$$$########################%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$###$$$&&&((()))***'''$$$###%%%&&&&&&%%%$$$$$$$$$#########""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""#########$$$%%%%%%%%%&&&%%%$$$###""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$######$$$%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""$$$%%%$$$"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&%%%%%%######$$$$$$$$$%%%%%%%%%(((%%%######%%%'''))))))&&&&&&&&&%%%%%%$$$$$$$$$######%%%&&&&&&%%%$$$$$$&&&$$$###$$$&&&'''&&&$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&(((&&&%%%%%%&&&&&&%%%$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''(((&&&$$$%%%''')))(((&&&((((((((((((((()))))))))&&&&&&''''''(((((()))))))))))))))(((((((((''''''&&&'''''''''(((((())))))&&&''')))(((''''''((()))'''''''''''''''''''''''''''''''''''''''&&&%%%%%%&&&&&&&&&&&&''''''''''''***)))'''%%%$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''&&&&&&%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%''''''&&&&&&&&&%%%%%%%%%''''''&&&&&&%%%%%%%%%%%%'''''''''&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%###""""""%%%&&&''''''&&&%%%'''(((%%%%%%%%%&&&&&&&&&'''''')))(((&&&%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''%%%$$$%%%((((((&&&$$$%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&&&&'''''')))((('''%%%$$$###""""""&&&&&&'''(((((('''&&&&&&''''''&&&&&&&&&%%%%%%%%%'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&'''''''''(((((()))((((((((('''''''''&&&%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''$$$%%%&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%'''((())))))'''%%%$$$%%%&&&&&&%%%$$$$$$$$$$$$###############$$$%%%&&&&&&%%%$$$###$$$$$$$$$$$$############$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%######%%%&&&%%%$$$%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%)))'''%%%%%%%%%%%%###"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&%%%%%%######$$$$$$$$$%%%%%%%%%###%%%&&&&&&$$$$$$'''***&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$###$$$&&&'''&&&%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&)))(((''''''(((((('''%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&%%%&&&((()))(((''')))))))))(((((((((''''''$$$$$$%%%&&&'''((())))))(((((((((''''''&&&&&&&&&%%%%%%&&&'''((()))******'''((()))((('''&&&'''(((''''''''''''''''''''''''&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&'''((((((((()))((('''%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&%%%###"""!!!&&&'''((('''%%%$$$%%%&&&%%%%%%%%%&&&&&&&&&''''''((((((&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''%%%%%%%%%&&&&&&&&&&&&'''%%%$$$$$$&&&((()))'''&&&'''''''''''''''(((((((((&&&''''''''''''''''''&&&(((((('''&&&$$$"""!!! &&&&&&'''(((((('''&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((((())))))((((((((('''''''''''''''%%%%%%%%%&&&&&&&&&&&&'''''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&'''((()))))))))''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%'''((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%***)))'''&&&&&&%%%&&&&&&((('''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&((())))))(((&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$$$$&&&''''''&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%)))'''&&&%%%&&&%%%$$$"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$###############$$$$$$$$$%%%%%%%%% """$$$$$$###"""###%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%&&&)))******)))%%%&&&'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&'''((((((((('''((((((((((((((((((((((((&&&&&&&&&''''''(((((((((''''''''''''''''''''''''&&&&&&&&&'''((())))))***((()))***)))'''&&&&&&'''''''''''''''''''''''''''&&&&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&'''((('''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$%%%&&&&&&$$$###$$$&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&))))))))))))))))))((('''''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%&&&'''''''''&&&$$$"""!!!&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&&&&'''(((((((((&&&'''''''''((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$%%%&&&''''''((((((((('''''''''''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((()))$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%)))(((((('''&&&&&&&&&%%%'''''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&((())))))(((&&&%%%$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%###"""###%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$%%%&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$###############$$$$$$$$$%%%%%%%%%%%%$$$$$$&&&''''''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$######$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''%%%$$$$$$%%%'''))))))((($$$%%%'''((()))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''###%%%&&&(((((((((((((((%%%&&&&&&'''((()))))))))***))))))(((((('''''''''&&&&&&'''((())))))******((((((((((((((('''''''''((()))***)))'''&&&&&&'''''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$######'''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$ """###$$$######%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&((()))******))))))((((((''''''&&&&&&&&&&&&&&&&&&%%%&&&'''(((((('''&&&%%%$$$%%%'''((((((((('''&&&'''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&************************%%%&&&&&&&&&'''(((((((((%%%%%%&&&&&&&&&'''''''''&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%&&&&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&''''''((((((&&&'''((('''%%%$$$%%%&&&$$$$$$$$$$$$%%%%%%%%%%%%###$$$%%%&&&&&&%%%$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""  """#########$$$$$$$$$$$$%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###%%%&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&%%%%%%######$$$$$$$$$%%%%%%%%%&&&%%%$$$%%%'''(((&&&###$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$###%%%&&&&&&$$$$$$&&&'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''''''''&&&%%%%%%&&&&&&%%%###$$$%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''"""$$$'''(((((('''((()))$$$%%%&&&'''((())))))***++++++***)))((('''&&&&&&&&&&&&'''((()))******+++))))))(((((('''''''''''''''((()))((('''&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&&&&&&&%%%&&&&&&&&&%%%$$$#########%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&&&&&&&'''%%%%%%%%%&&&&&&&&&&&&'''%%%%%%&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&'''''''''''''''(((''''''''''''&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%((((((((('''&&&$$$###"""!!!############%%%'''%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%"""%%%'''((((((((()))***'''''''''&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&$$$%%%&&&((())))))))))))((('''&&&&&&&&&&&&'''(((%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&'''''''''''''''%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%$$$%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&'''''''''%%%'''((((((%%%$$$%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%%%%%%%&&&'''''''''$$$$$$%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""!!! ###$$$$$$$$$$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###%%%&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&%%%%%%######$$$$$$$$$%%%%%%%%%###$$$%%%$$$###"""###$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%&&&''''''&&&%%%%%%###%%%&&&&&&$$$$$$%%%'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''((('''&&&%%%%%%&&&&&&%%%###$$$$$$$$$$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''!!!$$$((()))((('''((()))&&&&&&&&&''''''((((((((()))))))))((((((''''''&&&'''''''''''''''''''''''''''''''''(((((((((((((((&&&''')))(((''''''((()))&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&'''''''''''''''''''''&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&%%%$$$###"""$$$%%%%%%$$$$$$%%%'''%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%###&&&((()))'''''')))***((((((((('''''''''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&'''((()))((('''&&&&&&&&&&&&'''(((%%%%%%%%%&&&&&&&&&''''''########################'''''''''''''''&&&&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%%%%&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%$$$%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&""""""$$$&&&(((***+++,,,&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$###"""$$$''')))(((%%%$$$$$$&&&&&&&&&&&&''''''(((((((((&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%&&&'''(((((($$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%#########&&&'''''''''$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%"""'''***'''!!! $$$***$$$$$$$$$%%%%%%&&&&&&&&&###%%%'''))))))((('''&&&"""%%%'''&&&$$$###%%%(((&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''((($$$######%%%''')))((('''$$$$$$######$$$%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''''' $$$((()))((('''(((***(((''''''''''''&&&&&&&&&&&&&&&'''''''''''''''''')))(((((('''%%%$$$######%%%&&&&&&'''((()))******%%%'''(((((('''''')))***&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%&&&&&&&&&&&&&&&&&&''''''((()))))))))$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''''''''&&&&&&%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&''''''''''''&&&'''((('''%%%$$$%%%&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&'''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((''''''&&&&&&%%%'''''''''&&&&&&%%%%%%%%%)))+++---,,,)))'''''')))******))))))((((((((('''((('''&&&%%%%%%&&&'''(((''''''%%%$$$$$$%%%&&&'''((('''&&&%%%%%%&&&'''(((%%%%%%%%%&&&&&&'''''''''(((((((((((((((((((((((((((((((((''''''&&&&&&%%%''''''''''''((((((((()))%%%%%%%%%&&&&&&''''''''''''''''''&&&&&&%%%%%%%%%###$$$&&&'''((('''&&&&&&(((((((((((((((((((((((($$$$$$&&&'''(((((())))))''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''(((''''''&&&&&&%%%$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&%%%%%%%%%$$$$$$#########"""###%%%&&&'''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%'''&&&&&&%%%&&&'''((())))))((('''&&&%%%&&&&&&''' !!!"""######$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&"""""""""######$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###""""""$$$&&&'''&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&'''&&&%%%$$$###$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%$$$&&&''')))((('''&&&%%%%%%$$$###(((''''''&&&&&&%%%$$$$$$$$$######"""###$$$&&&''''''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&'''(((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''))))))))))))))))))))))))'''''''''''''''((()))))))))))))))))))))(((''''''%%%&&&&&&'''((())))))***(((((())))))((('''&&&&&&%%%%%%&&&&&&'''(((((((((&&&&&&&&&''''''''''''((('''''''''&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&"""###%%%&&&'''&&&%%%%%%''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&((((((''''''''''''((((((%%%%%%&&&&&&'''(((((()))&&&&&&%%%%%%%%%%%%$$$$$$!!!$$$''''''%%%$$$%%%&&&'''''''''''''''''''''''''''&&&$$$######$$$&&&'''%%%%%%%%%&&&&&&&&&''''''(((((('''&&&%%%%%%$$$$$$%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%***)))((('''''''''''''''((((((((((((((((((((((((***(((&&&'''***+++)))'''((((((((((((((((((((((((+++***(((&&&%%%%%%%%%%%%''''''&&&%%%&&&'''((()))(((&&&$$$%%%&&&(((((((((&&&&&&%%%&&&''''''&&&$$$((((((''''''''''''(((((((((((())))))))))))((((((''''''''''''''''''''''''((((((((('''&&&&&&&&&%%%'''%%%%%%&&&((()))((('''$$$%%%%%%&&&'''((())))))&&&&&&&&&''''''''''''(((###$$$%%%&&&&&&%%%$$$#########$$$%%%&&&&&&&&&%%%"""###$$$%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$%%%%%%%%%%%%%%%$$$$$$$$$#########$$$%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&%%%%%%%%%&&&%%%$$$$$$%%%&&&'''(((((('''&&&%%%$$$$$$%%%&&&$$$%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###""""""$$$%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$#########$$$&&&((()))$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&%%%&&&&&&(((''''''&&&&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&'''((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''(((((((((((((((((((((((('''''''''''''''((()))))))))))))))))))))(((''''''(((((())))))******++++++((())))))))))))((('''&&&''''''''''''''''''&&&&&&&&&&&&&&&''''''''''''(((''''''&&&&&&&&&%%%%%%%%%(((''''''&&&&&&''''''(((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&&&&&&&%%%%%%''''''''''''''''''''''''((((((''''''''''''((((((&&&&&&%%%%%%%%%%%%&&&&&&'''''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%''')))(((%%%""""""###'''''''''''''''''''''''''''&&&$$$######$$$&&&'''%%%%%%%%%&&&&&&&&&''''''(((''''''&&&%%%%%%$$$$$$%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&'''''''''((('''&&&&&&%%%%%%%%%&&&'''''''''''''''''''''''')))'''%%%&&&((()))(((&&&(((((((((((((((((((((((((((((('''&&&%%%&&&'''''''''&&&%%%%%%%%%&&&'''((('''%%%###$$$%%%'''''''''%%%%%%%%%%%%&&&&&&%%%$$$(((''''''&&&&&&''''''((((((((())))))))))))(((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''&&&%%%&&&((()))((('''&&&&&&&&&'''''''''''''''&&&&&&&&&&&&''''''''''''&&&'''(((((((((((('''&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%&&&'''((((((((((((%%%%%%%%%&&&&&&&&&&&&'''$$$$$$$$$%%%&&&'''''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$######''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$##################&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%''''''''''''((((((((((((&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$#########$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&#########$$$%%%&&&(((((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&'''((((((''''''&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''((())))))(((((()))))))))(((''''''))))))))))))))))))))))))(((((())))))(((((('''''')))(((((('''&&&&&&%%%%%%&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&%%%%%%%%%(((''''''&&&&&&''''''(((&&&&&&&&&&&&%%%%%%%%%%%%''''''''''''''''''''''''$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''((((((&&&&&&%%%%%%%%%%%%&&&&&&((((((((('''&&&%%%%%%$$$&&&&&&%%%%%%%%%%%%$$$$$$&&&(((((('''%%%#########&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''###$$$$$$%%%&&&'''((()))&&&%%%%%%$$$$$$$$$$$$$$$'''''''''''''''''''''''''''&&&%%%&&&''''''&&&%%%((((((((((((((((((((((((&&&&&&%%%%%%&&&'''((((((%%%%%%%%%%%%%%%&&&''''''&&&$$$######%%%&&&&&&%%%%%%%%%&&&''''''&&&&&&%%%(((''''''&&&&&&''''''((('''(((((())))))(((((('''''''''''''''''''''''''''&&&&&&&&&''''''''''''''''''&&&%%%&&&(((((((((&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''((())))))(((''''''((('''&&&%%%%%%%%%&&&'''&&&'''((()))))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######"""''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######""""""%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%############$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%###"""###$$$%%%%%%$$$#########$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''((())))))'''(((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&(((((('''''''''&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&(((''''''&&&&&&''''''((((((''''''&&&&&&%%%%%%$$$&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%&&&'''((((((%%%%%%$$$$$$$$$$$$$$$%%%'''''''''''''''''''''''''''&&&&&&&&&''''''&&&&&&((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$###$$$&&&'''&&&%%%&&&'''((((((((('''(((((()))((((((''''''(((((()))'''(((((((((((((((((('''''''''''''''''''''''''''%%%&&&&&&&&&'''((((((((((((&&&%%%&&&'''((('''&&&''''''''''''''''''''''''%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&***)))'''%%%$$$%%%'''(((''''''((()))))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$#########&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$############&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$%%%'''(((((('''"""######$$$$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%""""""###$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''((())))))''''''((((((((((((''''''''''''''''''&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$&&&%%%%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%&&&&&&'''((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''(((''''''''''''(((((((((((((((((((((((((((&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&%%%&&&%%%%%%&&&(((((('''&&&###%%%((((((&&&&&&'''(((***))))))))))))))))))***''''''((((((((((((''''''''''''''''''''''''''''''%%%&&&&&&&&&'''(((((((((((('''&&&&&&'''((('''%%%%%%%%%&&&&&&'''(((((()))%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&%%%%%%&&&&&&&&&***)))'''%%%$$$%%%'''(((&&&&&&'''((((((((('''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&%%%$$$#########$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&""""""$$$%%%&&&'''''''''#########$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$!!! $$$&&&%%%######$$$$$$$$$%%%%%%&&&&&&(((((('''&&&%%%%%%$$$$$$###$$$%%%&&&''''''''''''%%%%%%%%%&&&&&&&&&&&&'''###$$$%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''((())))))&&&&&&'''(((((((((''''''((((((((((((((((((((((((###$$$%%%%%%&&&%%%%%%%%%%%%%%%&&&&&&'''(((((()))&&&&&&&&&''''''''''''(((%%%%%%%%%&&&&&&&&&&&&'''(((''''''&&&&&&''''''((($$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$+++)))&&&%%%&&&&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((('''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&((()))((('''&&&'''(((((((((((((((((((((((((((&&&&&&&&&&&&&&&%%%$$$###$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&'''))))))(((&&& ###&&&&&&######$$$'''***))))))(((((())))))***&&&''''''((((((''''''&&&''''''''''''''''''''''''&&&&&&&&&'''''''''''''''((('''&&&&&&'''(((&&&%%%$$$$$$%%%&&&'''((()))***%%%%%%%%%%%%&&&&&&&&&&&&((('''&&&&&&&&&&&&'''(((((('''&&&%%%%%%%%%&&&'''%%%&&&&&&''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&%%%$$$###""""""###$$$%%%&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&!!!"""$$$&&&'''''''''&&&"""######$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!$$$""" %%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''''''''&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''$$$%%%'''''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''(((((((((((((((((((((((('''''''''''''''((())))))%%%&&&''''''((((((''''''&&&''''''(((((()))))))))%%%%%%&&&'''''''''''''''&&&&&&''''''''''''''''''&&&&&&&&&''''''''''''(((%%%%%%%%%&&&&&&&&&''''''(((''''''&&&&&&''''''(((######$$$$$$$$$%%%%%%%%%###$$$$$$%%%&&&'''(((((('''&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%$$$$$$######$$$$$$%%%'''&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$,,,)))&&&%%%&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''&&&&&&%%%%%%&&&&&&'''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%'''((('''%%%$$$&&&(((((((((((((((((((((((((((###$$$%%%&&&&&&&&&%%%%%%$$$%%%&&&'''(((''''''&&&%%%%%%%%%&&&(((((('''%%% ###''''''$$$###%%%(((((((((''''''''''''((((((&&&''''''((((((''''''&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&)))'''&&&&&&''''''&&&%%%%%%&&&&&&&&&''''''(((((($$$$$$%%%%%%%%%&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%'''''''''&&&&&&%%%%%%%%%#########$$$$$$%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%&&&''')))***&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%""""""######$$$$$$$$$%%%#########$$$$$$%%%%%%%%%###$$$%%%%%%$$$###"""!!!!!!"""###$$$%%%%%%$$$###""""""######$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&'''&&&%%%$$$###""""""###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&""" """&&&)))'''$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&''''''((('''''''''&&&%%%""" %%%%%%%%%&&&&&&'''''''''%%%&&&((())))))'''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''))))))))))))))))))))))))'''''''''''''''((())))))%%%%%%&&&'''((((((((('''$$$$$$%%%%%%&&&'''((((((&&&&&&'''((()))))))))(((((((((((('''&&&&&&%%%%%%&&&&&&&&&'''''''''((((((%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&#########$$$$$$%%%%%%%%%###$$$%%%&&&''')))******((('''%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%'''&&&&&&%%%%%%&&&&&&''')))((('''&&&$$$###"""!!!&&&&&&&&&%%%%%%%%%$$$$$$)))&&&$$$$$$''')))((('''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((('''&&&&&&%%%%%%&&&&&&'''###$$$$$$%%%&&&'''((((((%%%%%%%%%%%%&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&###%%%'''&&&$$$###%%%'''((((((((((((((((((((((((!!!"""$$$&&&''''''''''''%%%&&&'''((((((((('''&&&$$$###$$$&&&''''''%%%$$$"""&&&******'''&&&))),,,&&&&&&&&&%%%%%%&&&&&&&&&&&&''''''''''''''''''&&&''''''''''''''''''''''''(((((((((''''''&&&&&&%%%)))(((&&&&&&''''''&&&%%%(((''''''''''''&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$""""""""""""$$$$$$######$$$%%%&&&&&&&&&%%%&&&'''''''''''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$### !!!###%%%%%%%%%###""""""###$$$$$$%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%$$$###"""!!!%%%%%%%%%%%%%%%%%%%%%%%%(((((('''''''''&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$'''&&&%%%%%%$$$$$$%%%%%%######$$$$$$$$$$$$######%%%%%%%%%$$$$$$#########&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######""""""&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&$$$!!!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%$$$$$$%%%'''((()))$$$%%%%%%$$$###!!!""""""#########$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''((()))(((((('''''''''((((((%%%&&&((()))))))))((('''((((((''''''''''''(((((('''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%***'''$$$$$$%%%'''&&&$$$'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&""""""$$$%%%%%%%%%%%%%%%%%%%%%&&&'''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''((('''&&&%%%%%%%%%%%%%%%%%%&&&&&&'''(((((((((''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''((((((((((((((('''&&&&&&'''((('''&&&$$$$$$$$$%%%%%%%%%&&&&&&((((((((('''&&&&&&%%%%%%$$$$$$######$$$&&&''')))''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&'''(((((('''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%%%%&&&&&&'''(((&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$$$$&&&&&&'''(((&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%$$$$$$"""###%%%&&&'''&&&%%%$$$%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$)))'''&&&$$$######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''%%%$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$'''&&&%%%%%%$$$$$$%%%%%%!!!""""""######""""""!!!%%%%%%%%%$$$$$$$$$######&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%#########""""""!!!!!!!!!&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&(((((('''&&&%%%$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&((('''&&&%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%$$$######$$$$$$$$$%%%%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''((('''&&&&&&%%%%%%%%%&&&&&&&&&&&&'''(((((((((((((((((((((''''''''''''(((((('''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%(((&&&######%%%&&&%%%$$$&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&'''(((&&&&&&'''(((((((((((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%''''''''''''(((((((((((('''%%%$$$%%%&&&'''&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&''''''''''''''''''&&&%%%%%%%%%%%%'''((()))''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&'''((((((''''''&&&%%%%%%&&&''''''%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%'''(((((('''&&&&&&###$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$+++)))&&&######$$$&&&(((''''''''''''''''''''''''%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$'''&&&%%%%%%$$$$$$%%%%%%"""######$$$$$$######"""%%%%%%%%%$$$$$$$$$$$$###&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############""""""&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%((('''&&&%%%$$$$$$$$$$$$##################$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&''''''(((((((((%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&'''(((((((((''''''''''''(((((('''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$"""###$$$&&&%%%%%%%%%%%%$$$$$$$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%((('''%%%$$$#########$$$%%%&&&&&&&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&%%%%%%$$$$$$''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))***&&&''''''((((((((((((''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((&&&%%%$$$$$$&&&&&&%%%$$$&&&&&&&&&'''''''''((((((%%%%%%&&&&&&'''(((((()))(((''''''&&&''''''((((((''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&'''((((((''''''&&&%%%%%%&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%%%%%%%%%%%%%$$$%%%&&&''''''((('''&&&&&&""""""###$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$######$$$&&&((()))%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%###""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&$$$###"""!!!!!!"""###$$$%%%%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''''''''(((((((((%%%%%%&&&&&&''''''((((((%%%%%%%%%&&&&&&'''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''((((((''''''''''''((())))))'''&&&%%%$$$$$$%%%'''((((((''''''&&&&&&''''''((('''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&&&&''''''((('''%%%###"""###%%%&&&&&&&&&&&&&&&%%%$$$######'''&&&&&&%%%%%%$$$$$$###%%%%%%&&&&&&&&&'''''''''&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''(((((()))%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''((((((((((((&&&%%%$$$%%%&&&&&&&&&$$$&&&&&&&&&&&&''''''''''''&&&&&&&&&'''''''''((((((((((((''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&'''((((((''''''&&&&&&&&&&&&''''''+++***)))(((((((((((((((&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((''''''&&&&&&%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$###############%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%&&&&&&''''''''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&############$$$&&&((()))%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$###"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&%%%%%%)))(((&&&%%%$$$$$$%%%&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&'''''''''((($$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''((('''''''''''''''((())))))''''''%%%$$$$$$%%%&&&'''''''''&&&&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''((((((%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&''''''(((&&&%%%$$$######%%%'''(((&&&&&&&&&&&&%%%$$$######&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&+++***)))((('''&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((''''''''''''(((((((((((('''&&&%%%&&&'''((('''%%%$$$%%%%%%%%%%%%&&&&&&&&&(((((('''''''''&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''+++***))))))((((((((((((&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((((((((((((((((((((((((''''''&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!###%%%''''''%%%###!!!########################%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$############%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$######$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%)))((('''&&&&&&%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%((((((((('''&&&$$$###"""((('''&&&%%%$$$$$$###$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((%%%%%%%%%%%%%%%&&&'''((((((''''''&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''))))))(((''''''(((%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%$$$$$$$$$%%%&&&((()))%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$'''&&&&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%+++***)))'''&&&%%%$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%&&&''''''((((((''''''''''''((((((((((((((('''&&&&&&(((((('''&&&$$$$$$$$$%%%%%%%%%&&&&&&)))(((((('''&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&'''((((((&&&'''(((((((((((('''&&&(((''''''&&&&&&&&&&&&'''&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''((('''''''''&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&&&&$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%######$$$$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%"""#########$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&"""###%%%&&&&&&%%%$$$###$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&)))******)))'''%%%###"""#########$$$$$$######"""'''&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&'''''''''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((%%%$$$$$$%%%%%%'''((((((((((((((((((((('''&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''))))))'''%%%%%%'''$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%&&&'''%%%%%%%%%&&&&&&&&&&&&&&&%%%&&&&&&'''''''''&&&&&&###$$$$$$%%%%%%&&&&&&'''$$$$$$%%%%%%%%%&&&&&&&&&"""###%%%''''''%%%###"""''''''&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%))))))'''&&&%%%%%%%%%%%%'''(((((((((''''''&&&%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%&&&'''''''''''''''''''''(((((((((((('''&&&%%%%%%''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''&&&&&&%%%&&&'''((())))))((((((''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&'''((((((&&&'''((())))))((('''&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%'''&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&''''''''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%""""""######$$$$$$$$$$$$(((((((((''''''&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$#########$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&& ###&&&((('''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%% """$$$&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&''''''''''''((())))))((('''&&&###$$$&&&'''((((((''''''(((((('''''''''&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%))))))((('''&&&%%%%%%$$$'''''''''&&&&&&%%%%%%%%%&&&''''''''''''''''''&&&&&&&&&&&&'''''''''((((((&&&&&&&&&'''((()))***+++'''((()))))))))(((&&&%%%'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$'''))))))&&&$$$$$$%%%#########$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))''''''''''''&&&%%%$$$###%%%%%%&&&'''(((((((((((("""###$$$%%%&&&&&&'''((($$$$$$%%%%%%%%%&&&&&&&&&!!!###&&&((((((&&&###!!!'''''''''&&&&&&%%%%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&'''((())))))''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%%%%&&&&&&))))))******)))(((''''''%%%%%%%%%&&&&&&'''''''''######$$$%%%%%%&&&''''''''''''''''''((((((((()))&&&%%%$$$$$$&&&&&&%%%$$$&&&&&&&&&'''''''''((((((%%%%%%&&&&&&'''(((((((((%%%&&&((()))*********)))''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&'''((((((&&&'''((())))))((('''&&&'''''''''''''''((()))***&&&''''''''''''''''''&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&...+++'''$$$######%%%'''&&&%%%$$$######%%%'''(((######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######%%%%%%$$$###%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######"""""""""###%%%%%%###"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$'''''''''&&&&&&%%%%%%%%%%%%%%%$$$###$$$%%%&&&'''#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&''''''(((%%%$$$$$$$$$$$$%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$"""$$$&&&((()))'''%%%$$$#########$$$$$$%%%%%%%%%(((''''''&&&$$$######"""''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((('''(((((((((''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%$$$$$$$$$%%%&&&&&&)))(((&&&%%%%%%&&&((()))((((((''''''''')))+++,,,&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&%%%%%%$$$###''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''$$$%%%&&&'''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%$$$######%%%%%%$$$###'''&&&&&&%%%%%%&&&&&&'''######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((******))))))((((((''''''******)))((('''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&'''''''''((((((''''''((((((((((((''''''''''''''''''(((((((((((('''''''''&&&&&&%%%%%%%%%''''''''''''''''''''''''&&&%%%#########%%%'''))))))))))))(((''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''(((''''''&&&&&&%%%$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$&&&%%%%%%%%%$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&)))'''$$$"""!!!!!!###$$$$$$###"""!!!!!!###%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""###$$$&&&&&&$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######''''''&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&'''%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%''')))++++++***((('''#########$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((('''&&&%%%%%%$$$%%%%%%((('''&&&%%%%%%&&&'''(((''''''&&&&&&&&&&&&&&&'''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%&&&&&&%%%$$$###"""&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&%%%%%%%%%$$$###$$$%%%%%%%%%###'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''((((((((('''''''''&&&&&&)))((((((''''''&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$%%%&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&'''''''''(((&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$###"""""""""###$$$%%%''''''''''''(((((((((((($$$$$$$$$%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&'''&&&&&&%%%$$$######"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$###""""""""""""###$$$###"""""""""###$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$%%%&&&'''&&&%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############%%%''''''%%%$$$%%%&&&########################%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''''')))(((((('''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%(((((('''&&&&&&%%%$$$$$$&&&%%%%%%%%%%%%&&&''''''&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$###$$$&&&(((((('''&&&%%%$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''***)))'''&&&%%%%%%$$$$$$&&&%%%%%%%%%%%%%%%%%%&&&(((((((((''''''%%%$$$$$$&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&''''''((((((&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$###"""!!! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((('''%%%###"""&&&$$$###$$$%%%&&&%%%###'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&'''((((((((('''&&&%%%%%%&&&&&&&&&&&&''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$############%%%&&&&&&'''(((((())))))#########$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&%%%$$$######"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&'''######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###%%%&&&&&&%%%$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&%%%$$$$$$###$$$%%%%%%%%%%%%%%%%%%$$$&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%&&&&&&'''(((&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%&&&&&&&&&%%%$$$'''&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&'''&&&$$$######$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))((('''&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$(((((()))***)))(((&&&%%%&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$######""""""&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((('''%%%###"""&&&%%%$$$$$$%%%&&&%%%$$$'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&(((((((((((('''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&%%%$$$$$$&&&&&&&&&''''''((((((((($$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%&&&'''(((((($$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&'''((((((''''''&&&%%%%%%$$$%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###$$$%%%$$$"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%"""###%%%%%%#########$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$######"""%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((((((((((('''((((((((('''&&&&&&&&&%%%&&&&&&%%%%%%%%%%%%$$$$$$''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&'''&&&$$$######$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((()))$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&((()))))))))((('''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''''''''&&&%%%&&&%%%$$$$$$&&&&&&%%%$$$'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''$$$$$$%%%%%%&&&'''''''''&&&''''''((((((''''''&&&&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((('''&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&%%%$$$((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&###$$$$$$%%%&&&'''(((((($$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%""""""#########$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$"""!!!"""###$$$###"""###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%!!!###%%%$$$###"""######%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%#########$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%""""""############$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$############%%%%%%&&&&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&''''''''''''&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%&&&&&&&&&&&&&&&&&&((('''''''''''''''&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$$$$%%%%%%&&&((()))***&&&%%%%%%%%%%%%%%%%%%&&&######$$$&&&&&&'''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''))))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((('''%%%$$$%%%&&&'''&&&$$$'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''(((((((((%%%%%%&&&&&&'''''''''(((''''''((((((((((((''''''&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''%%%%%%%%%%%%$$$$$$$$$$$$((((((''''''&&&%%%%%%$$$%%%%%%&&&&&&&&&'''''''''$$$$$$%%%%%%&&&'''((((((&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""$$$$$$###"""######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&"""$$$%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%"""#########$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&$$$############$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&""""""######$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%$$$%%%%%%&&&'''(((((('''&&&%%%%%%&&&'''(((%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%'''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&***)))'''&&&&&&'''((()))'''%%%%%%%%%&&&'''&&&%%%'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''''''''''''''((((((''''''((((((((((((''''''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%%%%%%%&&&'''((((((((((((&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$###$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######%%%%%%$$$############$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&###%%%'''&&&%%%$$$%%%%%%#################################$$$$$$%%%%%%%%%""""""######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''(((((((((#########$$$$$$%%%%%%%%%###$$$%%%&&&'''&&&%%%%%%#########$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''###$$$$$$%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%$$$$$$&&&''''''&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&&&&%%%%%%$$$######""""""######$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&'''''''''#########$$$$$$%%%%%%%%%"""######$$$&&&''''''(((''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%&&&''''''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&%%%$$$$$$$$$%%%%%%)))(((&&&%%%%%%&&&((()))***)))'''&&&%%%%%%&&&'''&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%%%%&&&&&&'''$$$$$$$$$%%%%%%&&&&&&&&&'''((((((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&...,,,)))&&&%%%&&&((()))'''&&&%%%%%%''''''&&&%%%'''&&&&&&%%%%%%&&&&&&'''######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&((((((((((((((((((((((((''''''((((((((((((''''''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%$$$$$$&&&'''((()))))))))&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%((('''%%%$$$%%%''')))***$$$%%%%%%&&&&&&''''''(((######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$$$$############$$$$$$$$$$$$######&&&%%%###""""""###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%$$$######$$$%%%&&&%%%$$$$$$######$$$$$$%%%%%%""" ###&&&'''%%%%%%%%%&&&&&&&&&''''''########################&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###"""!!!!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###%%%$$$######$$$$$$###!!!######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''%%%$$$$$$%%%'''((('''&&&&&&%%%%%%&&&&&&'''%%%%%%$$$$$$%%%%%%&&&'''%%%$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$"""###$$$%%%&&&&&&'''&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%'''''''''&&&&&&%%%%%%%%%'''''''''&&&&&&%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&%%%$$$$$$$$$%%%&&&''''''&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%''')))***+++%%%%%%%%%%%%%%%%%%%%%%%%((('''%%%$$$$$$%%%&&&(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%((((((((((((((((((((((((((('''&&&&&&'''((('''&&&$$$$$$%%%%%%%%%$$$$$$###(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&''''''&&&%%%%%%)))(((&&&%%%$$$###############$$$$$$%%%&&&''''''''''''''''''&&&%%%$$$$$$%%%%%%%%%$$$###"""!!! &&&&&&''''''&&&&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&'''''''''&&&&&&%%%%%%%%%((((((((((((((((((((((((&&&%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$$$$############$$$$$$$$$$$$######)))'''&&&%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%'''$$$!!!!!!###&&&''''''%%%%%%%%%&&&&&&&&&&&&'''########################%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###"""""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$############$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$%%%&&&'''%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&'''(((((())))))((((((%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&'''(((&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%'''&&&%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%((('''%%%$$$$$$%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''((((((((((((((((((((((((((('''&&&&&&'''((('''&&&$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%******)))((('''%%%$$$###%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%'''''''''&&&&&&$$$######&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&'''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$$$$############$$$$$$$$$$$$######((('''&&&%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''%%%######%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$######""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&'''&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%############$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%''''''((()))))))))))))))%%%%%%%%%&&&&&&&&&''''''(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''((((((''''''''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%''''''&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&'''''')))((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$%%%''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''((((((((((((((((((((((((((('''&&&&&&'''((('''&&&$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$%%%&&&'''((()))***&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%++++++***)))(((&&&$$$###&&&''''''((((((''''''&&&%%%&&&&&&''''''&&&&&&%%%###$$$%%%&&&''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&&&&''''''&&&&&&%%%$$$###&&&&&&''''''&&&&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$############$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###$$$%%%%%%###"""$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%###$$$%%%%%%$$$$$$%%%&&&######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%%%%$$$$$$###'''&&&&&&%%%%%%&&&&&&'''%%%%%%$$$$$$%%%%%%&&&'''%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%(((''''''&&&%%%%%%$$$$$$&&&&&&&&&%%%%%%%%%%%%%%%)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''$$$$$$$$$%%%%%%%%%%%%&&&(((((((((((((((((((((((((((&&&&&&&&&'''((('''&&&$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&'''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((%%%&&&&&&''''''&&&&&&%%%%%%&&&'''((())))))))))))&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&(((((('''&&&$$$%%%&&&&&&''''''(((((((((&&&&&&&&&'''&&&&&&%%%%%%$$$$$$%%%%%%$$$######"""&&&&&&''''''&&&&&&%%%$$$######$$$%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((('''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$"""""""""""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%$$$$$$%%%&&&&&&$$$"""$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%%%%%%%%%%###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%$$$%%%'''&&&$$$$$$%%%'''######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&###$$$$$$%%%%%%$$$$$$###'''&&&&&&%%%%%%&&&&&&'''%%%%%%$$$$$$%%%%%%&&&'''%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%&&&%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&'''((('''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&''''''''''''&&&&&&%%%%%%'''&&&&&&%%%$$$######"""''''''&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&(((((((((((((((((((((((((((&&&&&&&&&'''((('''&&&$$$%%%&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&'''((((((%%%&&&&&&''''''&&&&&&%%%"""$$$%%%''')))***++++++%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''((((((&&&$$$###$$$$$$%%%&&&'''))))))***''''''''''''&&&%%%$$$###$$$$$$%%%%%%%%%$$$######&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((('''&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%###$$$%%%&&&&&&%%%$$$###'''&&&&&&'''((()))'''&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%''')))((($$$###%%%'''######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%)))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%&&&'''((()))''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&''''''''''''&&&&&&'''&&&&&&%%%%%%$$$######%%%%%%%%%&&&'''((()))***&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&###$$$$$$%%%%%%&&&&&&&&&&&&'''''''''((((((((((((((((((((((((((((((((((((((('''&&&&&&'''((('''&&&%%%%%%&&&'''(((((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&'''((((((((('''$$$%%%%%%%%%%%%%%%%%%$$$'''&&&&&&%%%%%%&&&&&&'''&&&'''(((((('''&&&%%%$$$$$$$$$%%%&&&'''((())))))''''''''''''&&&%%%$$$###&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&&&&%%%$$$&&&'''(((((())))))((((((%%%%%%%%%&&&&&&&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&''''''&&&%%%%%%"""###%%%&&&&&&%%%###"""'''&&&%%%&&&((())))))(((###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$&&&)))+++)))$$$"""$$$'''######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&'''''''''&&&%%%$$$$$$%%%&&&'''%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$%%%%%%&&&&&&&&&""""""###$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%'''''''''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''((()))((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''(((&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%&&&'''((((((''''''&&&&&&&&&'''''''''((((((&&&%%%%%%&&&&&&((())))))''''''''''''''''''''''''###$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$$$$%%%%%%&&&''''''(((''''''''''''((((((((((((((((((((((((((((((((((((((('''&&&&&&'''((('''&&&%%%%%%'''(((((()))))))))&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%'''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%$$$%%%%%%&&&'''''''''&&&&&&&&&'''''''''''''''&&&&&&&&&''''''&&&&&&%%%$$$&&&&&&'''(((((((((((('''%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&''''''&&&%%%%%%"""###%%%&&&&&&%%%###"""%%%$$$###$$$&&&(((((((((######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###'''***,,,)))$$$!!!###&&&######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''((('''%%%$$$$$$%%%'''((('''&&&&&&%%%%%%&&&&&&'''%%%%%%$$$$$$%%%%%%&&&'''%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&& !!!"""###$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%############$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&((())))))'''&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&'''((('''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&'''''''''###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''((((((&&&'''''''''&&&%%%%%%$$$%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&'''((())))))((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''(((((('''&&&&&&%%%%%%&&&&&&'''###$$$&&&((())))))(((((($$$%%%&&&((()))+++,,,---''''''&&&&&&&&&'''((((((''''''''''''''''''''''''###$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&%%%%%%&&&&&&'''((())))))%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((((('''&&&&&&'''((('''&&&%%%&&&'''((())))))))))))$$$%%%%%%&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&''''''''''''''''''&&&'''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%%%%&&&(((******(((((('''&&&$$$###""""""!!!"""$$$&&&''')))))))))$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$######$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%&&&&&&&&&&&&''''''%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%$$$""""""###%%%$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&&&&$$$$$$###""""""######$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&'''(((((($$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$(((&&&$$$###$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((''''''&&&&&&&&&"""$$$&&&'''&&&&&&'''((('''&&&$$$######$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%######$$$$$$$$$%%%%%%%%%(((((('''&&&%%%$$$$$$###%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$##################&&&&&&&&&&&&%%%$$$######&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$######$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%''''''((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$###$$$%%%&&&'''))))))((((((((('''''''''''''''''''''&&&%%%$$$###%%%%%%$$$$$$$$$%%%&&&&&&***(((&&&%%%%%%%%%'''(((&&&&&&'''((())))))((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&%%%$$$%%%&&&$$$%%%'''))))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&''''''&&&$$$######$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$#########$$$%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$##################$$$######$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&%%%$$$""""""$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%$$$$$$###%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$'''&&&$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&%%%%%%$$$%%%''''''%%%$$$$$$%%%'''&&&%%%######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&'''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%"""###$$$$$$%%%%%%&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%$$$$$$$$$###''''''''''''&&&%%%$$$###$$$$$$$$$$$$%%%&&&'''''')))(((&&&%%%%%%%%%'''(((%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%'''''''''((()))***$$$%%%'''((()))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&''''''&&&$$$######$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&##############################""""""""""""############$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%$$$###"""$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$""""""!!!!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$%%%&&&%%%###$$$%%%'''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$%%%'''((('''$$$#########((('''%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$###""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%###$$$%%%&&&((()))++++++&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%''''''''''''&&&%%%$$$$$$$$$$$$$$$$$$%%%&&&'''((()))(((&&&%%%%%%%%%&&&'''%%%&&&&&&&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&''''''$$$%%%'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''((('''&&&&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&############$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$###"""###%%%''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&'''((('''%%%$$$$$$$$$((('''&&&$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%&&&&&&'''###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''***(((&&&$$$###$$$%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&"""###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######%%%&&&&&&&&&%%%$$$''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&((()))***,,,---&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&'''''''''&&&&&&%%%$$$$$$$$$$$$%%%&&&'''((()))((('''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((((((((((((***((('''&&&&&&&&&$$$###%%%&&&''''''((((((''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&'''######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%###"""!!!"""$$$&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&((((((&&&%%%&&&'''&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&'''''')))(((&&&$$$###$$$&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$%%%%%%&&&&&&"""###$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''$$$$$$$$$############"""&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%&&&'''((()))''''''&&&%%%%%%%%%%%%%%%'''''''''''''''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((((((((((((---+++))))))******(((&&&%%%&&&&&&'''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%&&&&&&######$$$$$$$$$$$$%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$"""###%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!""""""$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$"""!!!"""$$$&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$&&&''''''&&&%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&############$$$%%%&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%$$$$$$######$$$$$$%%%#########$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%%%%%%%''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%&&&&&&$$$%%%&&&'''((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''((('''&&&$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&'''&&&&&&%%%%%%&&&&&&&&&&&&&&&''''''(((&&&&&&&&&&&&%%%%%%%%%$$$&&&''''''''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%"""!!!###''')))(((&&&&&&&&&&&&&&&''''''(((((($$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''(((%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&&&&'''&&&&&&$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%"""######$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$!!!###%%%&&&%%%$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$$$$&&&(((((('''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&$$$%%%&&&&&&$$$""""""#########$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######"""""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$######$$$%%%&&&''''''%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&'''''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''''''''%%%%%%&&&'''((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%###""""""$$$&&&(((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''***((('''%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%'''((((((((('''&&&)))))))))(((((((((''''''%%%%%%&&&&&&'''&&&&&&%%%(((''''''&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%% $$$'''&&&###&&&&&&&&&&&&&&&'''(((((($$$$$$%%%%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$%%%&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%!!!""""""###$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%&&&&&&&&&'''''''''#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$!!!###%%%&&&%%%$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$(((((('''&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&)))'''&&&&&&((())))))((($$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%&&&$$$""""""###$$$%%%&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$"""!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%&&&'''((()))%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''"""###%%%&&&'''((((((((($$$%%%%%%&&&&&&%%%%%%$$$((((((((((((((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''((())))))$$$$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%)))(((&&&%%%%%%&&&((()))%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$!!! """%%%(((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''%%%$$$"""!!!!!!"""$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%'''((((((((('''&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&)))((('''&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%$$$###"""###$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''$$$"""$$$(((***(((%%%'''&&&&&&&&&&&&'''(((((($$$$$$%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&!!!"""###%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$############''''''%%%%%%%%%%%%''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""""""""#########''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""###$$$$$$%%%%%%%%%%%%%%%$$$###"""!!! '''&&&%%%%%%$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$###'''&&&&&&%%%$$$###""""""&&&$$$###$$$''''''%%%"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$###""""""$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$#########&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''$$$$$$%%%&&&&&&''''''(((%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$%%%'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$###$$$%%%&&&''''''''''''&&&&&&%%%%%%%%%######$$$%%%&&&(((((()))%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''&&&%%%### !!!&&&***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&%%%%%%$$$((((((((('''&&&$$$###"""(((((('''''''''&&&&&&&&&%%%$$$#########%%%((()))%%%%%%%%%%%%%%%%%%$$$$$$,,,,,,,,,++++++)))(((((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&%%%$$$$$$###''''''&&&&&&&&&%%%%%%%%%$$$%%%&&&(((((((((((('''%%%&&&&&&''''''&&&&&&%%%''''''(((((((((((('''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%''''''&&&&&&&&&&&&'''''''''&&&$$$###"""###$$$$$$(((''''''&&&&&&%%%$$$$$$$$$$$$%%%&&&&&&''''''(((%%%%%%%%%&&&&&&&&&''''''((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%&&&''''''%%%%%%&&&'''%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$'''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""#########$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""###$$$$$$%%%%%%%%%%%%%%%%%%$$$###"""!!!'''&&&%%%%%%$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###&&&%%%%%%$$$$$$#########&&&%%%$$$%%%''''''%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$&&&'''(((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&'''((((((&&&%%%$$$%%%'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&''''''(((''''''!!!!!!"""$$$&&&(((***+++)))'''&&&$$$$$$%%%&&&'''&&&&&&''''''(((((())))))*********))))))((('''&&&'''&&&&&&%%%%%%&&&&&&'''((())))))))))))((('''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&%%%$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$'''&&&%%%%%%$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''&&&%%%%%%"""""""""###############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%&&&''''''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&&&&&&&&&&&&&&&&(((((('''&&&&&&%%%$$$$$$'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&'''((()))&&&&&&&&&&&&%%%%%%%%%%%%(((((('''&&&%%%$$$$$$###%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%&&&)))+++***(((%%%######%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%######%%%&&&'''''''''''''''&&&%%%$$$$$$%%%&&&''',,,***(((&&&%%%$$$%%%%%%&&&&&&'''((()))******+++'''''''''''''''&&&%%%$$$'''&&&&&&%%%%%%&&&&&&''''''''''''''''''&&&%%%%%%'''''''''''''''&&&&&&&&&&&&&&&&&&&&&%%%$$$###"""%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&'''(((((((((((('''&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&'''(((((('''&&&%%%$$$%%%%%%%%%%%%%%%%%%$$$###%%%&&&%%%$$$###$$$%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%###$$$%%%&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$"""###############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&%%%%%%$$$#########$$$$$$%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%******)))(((((('''((((((''''''&&&&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''(((((((((((('''''''''&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((()))%%%%%%%%%%%%%%%%%%%%%%%%(((((('''&&&%%%$$$$$$###%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%$$$&&&((((((&&&$$$""""""$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''&&&&&&%%%%%%$$$$$$$$$$$$$$$###""""""---+++)))'''&&&&&&&&&'''+++***(((&&&%%%$$$$$$$$$%%%&&&&&&&&&''''''((((((&&&&&&&&&&&&&&&%%%$$$$$$'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&%%%$$$$$$''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&'''((('''&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&((())))))(((&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%######$$$%%%&&&&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%%%%#########$$$$$$%%%%%%&&&$$$%%%&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%))))))((('''&&&&&&&&&'''%%%%%%%%%&&&&&&&&&''''''%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%$$$%%%&&&%%%$$$$$$%%%'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%&&&%%%%%%$$$###"""&&&&&&%%%&&&''')))+++,,,'''&&&&&&%%%%%%$$$$$$%%%((((((''''''&&&&&&&&&%%%&&&&&&'''''''''&&&%%%%%%'''&&&&&&%%%%%%&&&&&&'''((())))))))))))(((''''''&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&''''''(((%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((()))''''''&&&&&&&&&&&&''''''$$$%%%&&&'''((('''&&&%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''%%%&&&'''(((((('''&&&%%%&&&&&&''''''''''''&&&&&&&&&'''((('''&&&%%%&&&((($$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&%%%%%%'''&&&%%%%%%$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$###"""%%%%%%&&&&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%#########$$$$$$%%%%%%%%%"""$$$&&&&&&%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$%%%%%%&&&'''(((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&$$$###$$$(((***%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%+++******)))((('''&&&&&&&&&&&&''''''''''''&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&''''''''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))***%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((())))))(((''''''&&&&&&''''''((($$$%%%%%%&&&&&&&&&&&&%%%(((((('''&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&'''((((((%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&&&&((()))((('''&&&'''(((###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%'''((('''&&&$$$###$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$$$$$$$'''&&&%%%%%%$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$###%%%%%%&&&''''''((())))))%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%%%% """%%%%%%$$$###%%%'''%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$###############$$$$$$$$$$$$######&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%%%%$$$###"""######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$"""###%%%'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$'''''''''&&&%%%"""%%%%%%&&&&&&&&&&&&&&&%%%))))))((((((''''''&&&&&&%%%%%%&&&''''''&&&&&&%%%'''&&&&&&%%%%%%&&&&&&'''######$$$$$$######"""!!!$$$$$$$$$%%%%%%%%%&&&&&&'''&&&%%%%%%%%%&&&'''(((%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&''''''((('''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%$$$######$$$%%%&&&%%%&&&&&&''''''&&&&&&%%%&&&'''((('''&&&&&&'''(((######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''((((((&&&$$$###%%%%%%''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$######"""'''&&&%%%%%%$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&'''((())))))%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%###"""$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$###""""""######$$$$$$$$$$$$######'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&'''((()))(((''''''&&&&&&%%%%%%$$$%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''((((((((())))))###$$$$$$%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%$$$$$$"""!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%$$$###!!! #########$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''$$$%%%%%%###!!! !!!&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&'''''''''&&&'''&&&%%%$$$""" !!!###&&&(((((('''%%%###''''''(((((('''&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&&&&&&&%%%$$$$$$#########$$$$$$%%%%%%%%%((('''%%%$$$###$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$#########$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&""""""###$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$###"""###$$$&&&'''$$$%%%%%%&&&&&&''''''((((((''''''&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%$$$$$$$$$$$$$$$$$$%%%'''%%%###!!!!!!###%%%'''$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&''''''%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%$$$###%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$""""""$$$'''((()))$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######%%%%%%%%%&&&&&&'''''''''%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$%%%%%%((('''&&&$$$######$$$$$$&&&%%%$$$######$$$%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&(((''''''&&&$$$######""""""$$$'''))))))'''$$$"""###$$$%%%&&&&&&%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$%%%&&&'''(((((()))&&&%%%$$$#########$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%$$$######"""""""""'''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&'''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$######$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''(((''''''&&&%%%%%%$$$######&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&'''''''''&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''(((((((((((((((((('''&&&&&&&&&%%%%%%$$$$$$$$$''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%&&&''''''(((((((((&&&$$$###$$$%%%%%%&&&%%%""" ###&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''(((((()))))))))))))))))))))(((((((((&&&'''(((((((((((((((((())))))((('''&&&&&&%%%%%%&&&&&&&&&''''''''''''(((%%%&&&&&&''''''&&&&&&%%%'''''''''''''''''''''''''''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%((('''%%%%%%&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&&&&%%%%%%%%%"""###$$$&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%$$$###$$$%%%%%%&&&%%%%%%%%%%%%&&&'''''')))((('''&&&&&&'''((()))%%%&&&'''((()))((('''&&&&&&'''''''''&&&%%%%%%$$$&&&$$$###$$$((()))(((&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$###&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!  """""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$%%%%%%((('''%%%$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$######"""$$$%%%$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######"""""""""#####################$$$%%%&&&%%%%%%$$$########################$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$######$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%''''''&&&%%%%%%$$$######&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&''''''&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$''''''&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&'''((((((&&&$$$###$$$&&&%%%&&&&&&$$$!!!!!!$$$''''''&&&&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((((()))''''''''''''''''''''''''******))))))(((&&&%%%$$$)))(((((('''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&'''%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(((&&&%%%%%%&&&'''%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&%%%$$$$$$%%%&&&&&&""""""###$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$&&&$$$###$$$''')))(((&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""$$$$$$$$$"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%'''&&&%%%$$$$$$###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&"""""""""######$$$$$$$$$!!!"""###$$$$$$$$$######%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%$$$$$$#########!!!###%%%(((((('''%%%$$$########################$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&'''(((((((((%%%$$$$$$######$$$$$$%%%###############"""""""""###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$%%%'''&&&&&&%%%%%%$$$$$$###&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$''''''&&&&&&&&&&&&''''''((('''&&&&&&%%%%%%%%%%%%'''((((((&&&$$$###%%%&&&%%%&&&&&&%%%$$$%%%(((***'''''''''&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%)))))))))((('''&&&%%%$$$((((((''''''&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%(((&&&%%%%%%&&&'''&&&$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%)))))))))((('''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''%%%%%%$$$$$$$$$$$$%%%%%%(((''''''&&&&&&&&&&&&'''&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$%%%'''((('''&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&'''((((((&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$$$$#########$$$%%%&&&&&&%%%$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%############$$$$$$$$$$$$))))))(((&&&&&&%%%%%%%%%&&&%%%$$$######$$$%%%&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&''''''&&&%%%$$$########################$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((('''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''((((((''''''&&&$$$$$$$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%(((((('''&&&&&&&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&''')))((('''&&&%%%$$$$$$$$$'''''''''&&&$$$$$$%%%&&&'''''''''&&&&&&'''((()))''''''''''''''''''''''''$$$$$$%%%%%%&&&'''''''''''''''''''''''''''''''''$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&'''(((((((((((('''''''''&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%&&&'''&&&%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&******))))))((('''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&---,,,***'''&&&&&&&&&&&&%%%&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%######$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$######$$$%%%%%%###!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%&&&&&&%%%$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%$$$$$$$$$!!!!!!!!!"""###%%%''')))&&&%%%$$$######$$$%%%&&&###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ !!!"""#########'''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&''''''((((((''''''&&&$$$$$$$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$%%%'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&''''''(((((('''&&&&&&'''''''''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&)))((('''&&&%%%$$$$$$$$$&&&''''''&&&$$$$$$%%%'''((('''&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&&&&$$$$$$%%%%%%&&&&&&&&&&&&$$$%%%&&&'''((((((((((((&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''''''''%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''%%%%%%%%%''''''&&&%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%$$$$$$$$$%%%&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%######$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$###""""""$$$%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$$$$######$$$$$$$$$%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$######""""""######$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%!!!!!!"""###$$$%%%&&&&&&'''&&&$$$###"""###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$######"""%%%$$$$$$######$$$$$$%%%"""""""""###############%%%&&&&&&''''''&&&&&&%%%###$$$$$$%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$$$$%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&''''''(((%%%%%%%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&((('''&&&&&&%%%%%%%%%%%%&&&''''''&&&%%%$$$&&&'''((('''&&&&&&''''''%%%$$$&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&''''''((('''''''''''''''&&&%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$%%%'''''''''&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%&&&'''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%&&&&&&%%%%%%&&&%%%%%%%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%$$$$$$######$$$%%%''')))+++,,,%%%%%%&&&&&&''''''&&&&&&%%%&&&''''''%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''%%%###$$$%%%'''((('''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%%%%%%%$$$###"""###$$$%%%%%%$$$###"""%%%$$$$$$$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%***)))((('''%%%$$$""""""$$$$$$$$$%%%%%%$$$$$$$$$######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&''''''((((((!!!!!!"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%############$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%######$$$%%%%%%&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%$$$$$$$$$%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&%%%$$$$$$###$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&%%%###!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&&&&''''''$$$$$$$$$$$$%%%'''((()))%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$######$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&%%%%%%%%%&&&&&&%%%&&&'''&&&%%%$$$&&&((('''&&&%%%&&&((()))'''%%%$$$%%%%%%%%%&&&&&&&&&&&&((((((((('''&&&&&&%%%%%%'''''''''&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&''''''(((&&&&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$%%%'''((('''&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&'''''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''$$$%%%&&&&&&&&&&&&%%%$$$$$$%%%''')))+++,,,------$$$%%%&&&&&&''''''&&&&&&$$$&&&((('''%%%$$$%%%'''$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$""""""$$$&&&(((((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&'''''''''#########$$$$$$%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$###""""""$$$%%%%%%$$$###"""&&&%%%$$$######$$$%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$ !!!"""###$$$%%%&&&&&&"""###$$$%%%&&&&&&&&&&&&###$$$%%%&&&&&&%%%$$$#########$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$######!!!$$$&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&###$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&'''''''''$$$$$$$$$%%%%%%$$$$$$$$$######$$$%%%%%%&&&''''''&&&''''''((((((''''''&&&'''&&&&&&%%%$$$$$$$$$$$$'''''''''&&&&&&%%%%%%%%%&&&%%%$$$$$$######$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&!!!$$$''')))(((###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&%%%%%%&&&&&&((()))+++,,,%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''(((((())))))(((((('''$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&''''''%%%&&&'''&&&%%%%%%&&&(((&&&$$$$$$&&&***,,,***((($$$$$$$$$%%%%%%&&&&&&&&&))))))((('''&&&%%%%%%$$$'''''''''&&&&&&%%%%%%%%%######$$$%%%&&&&&&''''''"""###%%%&&&'''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$%%%'''((('''&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''%%%&&&&&&'''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((((((((''''''&&&%%%%%%%%%%%%&&&''''''''''''((())))))(((''''''%%%&&&'''(((((('''&&&%%%$$$%%%%%%&&&'''''''''&&&$$$'''((('''%%%$$$%%%'''&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&((())))))(((&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$%%%%%%$$$$$$###&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$$$$$$$###"""###$$$"""###$$$%%%&&&%%%%%%$$$&&&&&&'''''''''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&%%%$$$###$$$%%%&&&&&&%%%$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$########################%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%((((((((((((((((((''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%$$$"""!!!!!!"""$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&'''''''''((('''%%%$$$###$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!"""$$$&&&'''''''''&&&######$$$$$$$$$%%%%%%%%%%%%$$$###""""""###$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$######&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&###!!!!!!$$$&&&&&&$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&%%%&&&''''''((('''&&&&&&%%%%%%%%%&&&%%%&&&''''''&&&&&&''')))&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&''''''''''''&&&&&&((('''&&&&&&&&&'''((()))***&&&"""!!!$$$&&&'''&&&$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&(((((('''&&&%%%'''&&&%%%&&&((()))((('''$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$###"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''((('''&&&&&&&&&&&&'''(((((('''%%%$$$###$$$$$$%%%)))(((&&&$$$$$$$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''%%%###$$$&&&'''%%%######$$$&&&'''(((''''''&&&%%%%%%%%%&&&&&&'''''''''###$$$%%%%%%&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&''''''&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%$$$###"""###$$$"""###$$$%%%%%%%%%%%%$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%%%%###"""###$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$############""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############"""""""""$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""###%%%&&&&&&'''########################%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$%%%$$$###""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$%%%'''''''''''''''''''''''''''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$"""!!!######$$$$$$$$$%%%%%%%%%%%%$$$###""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$(((%%%###$$$&&&((((((&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%&&&''''''''''''&&&%%%''''''&&&&&&&&&%%%%%%%%%)))((('''&&&%%%&&&&&&'''&&&%%%$$$$$$############$$$%%%&&&&&&%%%%%%&&&(((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&''''''''''''&&&&&&'''&&&%%%$$$$$$%%%&&&'''((('''&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%&&&%%%$$$%%%'''((('''&&&$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''%%%$$$############$$$%%%''''''&&&%%%%%%%%%%%%%%%%%%$$$###!!!!!!"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$###$$$&&&'''&&&$$$((((((((()))((((((''''''%%%%%%&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''''''''&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$###$$$%%%&&&&&&%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%$$$###"""###%%%######$$$%%%%%%%%%$$$$$$""""""###$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$$$$###""""""###"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""""""""#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%######$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&%%%%%%%%%$$$###""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$###""""""!!!%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%(((((('''&&&%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(((((('''%%%### ######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$###""""""&&&&&&%%%%%%%%%%%%$$$$$$'''%%%$$$$$$&&&'''''''''$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&'''(((((('''&&&&&&'''''''''&&&&&&%%%%%%%%%(((''''''&&&%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$#########$$$&&&%%%$$$$$$%%%'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''%%%%%%%%%%%%&&&'''&&&((()))***((('''&&&&&&%%%%%%%%%%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%$$$###$$$&&&'''&&&%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$$$$############$$$$$$&&&''''''''''''&&&%%%%%%######"""!!!!!!"""$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$###$$$&&&''''''&&&'''&&&%%%$$$############&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''(((((('''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%%%%###"""###$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$'''''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$&&&&&&$$$###!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%%%%$$$###"""!!! $$$%%%&&&'''&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######"""!!!######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&'''''''''%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$###"""!!! %%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%###%%%&&&&&&%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&'''((((((&&&'''((((((''''''''''''&&&&&&%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&'''((($$$###"""###%%%&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''&&&%%%%%%$$$$$$$$$%%%&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%&&&'''''''''%%%$$$"""!!! !!!"""###'''''''''&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###%%%%%%%%%$$$###$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$###%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%%%%$$$""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""######$$$$$$'''''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$ ###&&&((((((((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$#########"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&)))(((((('''&&&%%%$$$$$$###$$$%%%&&&'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$###"""!!! %%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$###$$$$$$%%%&&&'''((((((&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''''''''&&&%%%%%%&&&''''''&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''&&&%%%%%%%%%&&&(((((((((&&&&&&)))---///,,,)))''''''&&&%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&'''((($$$###"""###%%%&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((((((((('''%%%&&&'''(((((((((&&&&&&&&&&&&&&&&&&''''''(((((($$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&'''(((&&&%%%$$$$$$$$$&&&'''((('''''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%$$$###$$$&&&&&&%%%$$$$$$######$$$$$$!!!!!!"""###$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&''''''&&&%%%%%%&&&&&&&&&%%%%%%$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#####################$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""######$$$$$$%%%$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$ !!!###$$$%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%***)))'''%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%% """""""""""""""######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$###""""""$$$$$$%%%%%%%%%%%%&&&&&&###%%%''''''&&&&&&&&&'''$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$%%%&&&&&&%%%$$$$$$###$$$$$$%%%&&&'''((((((%%%&&&&&&&&&&&&%%%$$$$$$"""###$$$%%%&&&%%%$$$###%%%&&&((('''&&&&&&''')))&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''&&&%%%$$$$$$%%%&&&'''$$$#########$$$&&&'''))),,,))),,,888EEEFFF999+++((('''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$###"""###%%%&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%%%%$$$$$$###$$$$$$%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&%%%%%%&&&''''''''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%'''((('''&&&%%%&&&'''%%%%%%%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&'''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&&&&%%%$$$#########$$$$$$!!!""""""#########""""""$$$$$$$$$$$$$$$$$$$$$$$$###%%%'''&&&%%%$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''$$$############"""""""""$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$(((''''''&&&%%%######"""%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%###$$$$$$%%%&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%"""######$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''""""""######$$$%%%&&&&&&%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%+++***'''%%%$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$#########$$$%%%######$$$$$$$$$%%%%%%%%% !!!"""###$$$$$$$$$###""""""###$$$%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&"""%%%((((((&&&%%%&&&'''&&&%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&''''''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%$$$###!!!"""$$$&&&&&&%%%$$$###$$$&&&''''''&&&%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''&&&$$$######$$$&&&'''$$$$$$$$$%%%&&&)))+++,,,000///999RRRhhheeeIII---(((((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%%%%$$$###$$$&&&&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&&&&%%%$$$#########$$$%%%%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''((()))(((%%%$$$%%%'''%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$############$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&'''&&&$$$#########$$$$$$$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&%%%$$$###$$$%%%#########$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''((())))))%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!###%%%'''***---///%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%###$$$%%%''')))+++,,,---$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&''''''((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''"""###$$$%%%'''(((******%%%%%%$$$###$$$%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%%%%%%%&&&(((***%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###""""""""""""$$$%%%&&&######$$$$$$$$$%%%%%%%%%###%%%&&&((())))))((((((!!!!!!"""###%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$######&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&& ###&&&&&&$$$###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&'''(((((('''&&&%%%)))(((((('''%%%$$$######%%%%%%&&&'''&&&%%%$$$######$$$&&&(((((((((&&&%%%###%%%&&&&&&%%%$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''&&&$$$######$$$&&&'''&&&&&&'''(((***---000111222444EEEggg}}}TTT---)))((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&(((((('''&&&%%%%%%$$$###$$$&&&'''&&&%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((('''&&&$$$#########$$$%%%%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%&&&&&&'''(((((('''&&&&&&%%%%%%$$$###$$$%%%'''(((''''''''''''&&&&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((()))***)))%%%###$$$&&&***++++++,,,+++)))((('''%%%%%%%%%&&&&&&''''''''''''((((((((('''&&&&&&%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%########################&&&%%%###""""""###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$%%%$$$$$$######""""""""" !!!######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$###""""""###%%%'''&&&%%%%%%%%%%%%$$$$$$######### """$$$%%%&&&'''+++---777)))"""''')))###!!!$$$&&&&&&%%%$$$$$$######"""""""""######$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%!!!!!!"""###$$$$$$%%%%%%%%%%%%$$$###$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$############$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))'''&&&$$$$$$%%%&&&'''((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$"""###%%%&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###&&&%%%$$$###""""""!!! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%$$$$$$#########&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%)))((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&%%%$$$######"""'''''''''&&&&&&%%%%%%%%%###$$$&&&(((+++...111333,,,///DDDjjjTTT)))))))))((((((''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%&&&%%%$$$$$$&&&&&&%%%$$$&&&&&&&&&&&&%%%%%%$$$###%%%%%%%%%&&&&&&&&&''''''%%%''')))***+++***)))((($$$%%%&&&&&&''''''&&&&&&&&&&&&&&&'''&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!!!!"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$######""""""######$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$######### !!!"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$ !!!!!!!!!!!!&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%"""!!!!!!"""$$$%%%%%%$$$%%%%%%%%%$$$$$$$$$######"""$$$%%%&&&&&&(((***---JJJ555%%%$$$(((&&&&&&***"""######$$$$$$%%%&&&&&&$$$$$$$$$#####################$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&'''%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%$$$$$$%%%&&&'''''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$###$$$%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%%%%$$$$$$###((((((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$######&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&)))))))))(((''''''&&&&&&''''''&&&&&&&&&%%%%%%%%%''''''&&&&&&'''((())))))***+++888PPPccc___CCC)))(((((((((''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%$$$$$$###&&&%%%$$$$$$&&&&&&%%%$$$%%%&&&&&&&&&%%%%%%$$$###%%%%%%%%%&&&&&&&&&''''''$$$%%%'''((()))((('''&&&$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&'''&&&&&&%%%%%%'''''''''((((((((())))))&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""!!!!!!"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###""""""!!!!!!""""""###&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$((('''%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%""""""###$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&%%%%%%""""""#########$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""!!! """$$$%%%$$$###%%%%%%%%%$$$$$$$$$$$$###$$$%%%''''''&&&''')))+++III444!!! %%%%%%%%%&&&"""######$$$$$$%%%&&&&&&%%%%%%%%%$$$######""""""######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''((($$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%$$$$$$$$$%%%&&&'''&&&&&&%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$''''''&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$###$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%'''&&&%%%$$$############)))(((+++222888888111)))''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$$$$&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''###$$$%%%&&&&&&&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########***)))'''%%%$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""""""""$$$%%%%%%###$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%'''(((222''' ###'''%%%"""!!!&&&&&&%%%$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$##################$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&'''((($$$%%%%%%&&&&&&%%%%%%$$$''''''''''''''''''''''''))))))(((&&&%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######"""%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%&&&'''(((***&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&############$$$$$$%%%&&&)))(((&&&$$$###%%%''')))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&'''''''''&&&&&&&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''###$$$%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&###$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########)))'''%%%######$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%########################%%%$$$###$$$&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$###"""$$$&&&%%%$$$&&&))))))&&&%%%&&&&&&&&&%%%$$$$$$######"""""""""###$$$%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$##################$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&&&&%%%%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$'''''''''''''''''''''''')))(((((('''%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$###&&&&&&''''''(((((())))))%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$&&&'''))))))'''&&&%%%$$$$$$$$$%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&'''''''''&&&&&&%%%$$$$$$&&&&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&$$$%%%%%%&&&'''''''''&&&''''''''''''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$###"""""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$%%%%%%""""""#########$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%########################'''%%%$$$%%%&&&'''&&&%%%###$$$$$$$$$$$$%%%%%%%%%###$$$$$$###"""!!!###$$$$$$&&&'''&&&"""!!!%%%***"""######$$$$$$%%%&&&&&&!!!"""###$$$%%%'''((((((######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&######$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''''''''''''''''''''%%%%%%&&&&&&'''''''''(((%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''((($$$$$$%%%'''((('''$$$!!!$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&''''''((()))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''""""""###$$$%%%%%%%%%%%%&&&%%%$$$$$$&&&&&&%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&$$$$$$%%%&&&''''''''''''%%%&&&&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%""""""######$$$%%%%%%%%%########################&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$&&&&&&%%%$$$######$$$$$$$$$%%%%%%%%%###$$$$$$###""""""$$$%%%###$$$$$$!!!!!!$$$&&&"""######$$$$$$%%%&&&&&&######$$$$$$%%%&&&''''''######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&'''###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&'''((()))***%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''(((%%%%%%%%%%%%%%%$$$######$$$$$$######$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&'''&&&%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%###$$$$$$%%%%%%$$$$$$###"""""""""###############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%!!!###$$$%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%&&&$$$$$$%%%&&&&&&%%%###"""%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%#########$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&''''''(((!!!"""###$$$%%%%%%%%%%%%&&&%%%$$$$$$&&&&&&%%%$$$###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&###$$$%%%&&&''''''''''''#########$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&$$$$$$&&&'''((()))))))))########################&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$######"""""""""$$$$$$$$$%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$###$$$%%%%%%$$$############$$$$$$%%%%%%%%%###$$$%%%$$$######%%%''' """###$$$&&&((('''$$$&&&&&&%%%%%%$$$######"""%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%!!!!!!"""###$$$$$$%%%%%%###$$$%%%&&&'''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############$$$%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''(((((($$$%%%%%%%%%%%%$$$######$$$#########$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&'''&&&&&&%%%&&&''')))***%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&'''''''''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&!!!$$$'''''''''%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%'''''''''''''''''''''''''''&&&&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''""""""""""""###$$$%%%&&&''''''&&&$$$""""""$$$&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%% !!!###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((###$$$%%%&&&''''''((('''&&&%%%$$$$$$&&&&&&%%%$$$###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%$$$$$$$$$%%%$$$%%%&&&&&&''''''&&&&&&###$$$%%%&&&''''''''''''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%&&&%%%$$$######$$$%%%&&&((('''%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$######""""""######$$$!!!###&&&&&&%%%$$$$$$%%%((('''%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&''''''%%%###!!!!!!"""&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$""""""""""""$$$$$$&&&%%%$$$$$$$$$%%%&&&'''((('''%%%###"""!!! ###$$$&&&%%%%%%$$$&&&'''%%%%%%%%%$$$$$$#########&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&&&&$$$"""%%%***$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$%%%%%%%%%%%%$$$((('''%%%#########%%%&&&&&&%%%%%%$$$$$$############$$$$$$%%%%%%$$$$$$###########################&&&&&&&&&&&&&&&&&&&&&&&&###"""""""""###$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&###$$$%%%&&&'''(((''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%$$$&&&((()))&&&###&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$$$$######$$$%%%%%%&&&''''''((('''%%%$$$$$$%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%'''&&&&&&%%%&&&'''((()))'''&&&&&&&&&&&&'''((((((******)))''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%(((%%%""""""%%%'''&&&%%%$$$%%%'''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%,,,***(((&&&$$$%%%%%%&&&%%%%%%%%%&&&'''((())))))%%%&&&&&&''''''&&&&&&%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%$$$$$$$$$######%%%%%%%%%&&&&&&&&&&&&'''%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$###""""""###$$$$$$'''&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&%%%%%%$$$$$$$$$'''&&&&&&&&&&&&&&&&&&'''!!!###%%%%%%$$$###$$$%%%'''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&%%%$$$###$$$%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&'''''')))((('''%%%$$$$$$$$$$$$%%%%%%$$$###""""""######%%%&&&'''&&&$$$###$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$######"""!!!!!!"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%'''&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%((((((''''''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$%%%&&&&&&''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%&&&'''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%######%%%&&&&&&$$$%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&'''%%%$$$"""!!!!!!"""$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&'''&&&&&&%%%&&&'''((()))%%%%%%%%%%%%%%%&&&'''''')))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(((%%%######%%%'''&&&%%%###%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$######%%%%%%&&&&&&''''''((((((%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%######""""""""""""######&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%(((''''''&&&$$$######"""%%%$$$$$$######$$$$$$%%%"""###$$$###""""""$$$&&&%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%###$$$&&&%%%%%%$$$&&&'''%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######"""""""""!!!!!!!!!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%)))((('''%%%$$$$$$$$$$$$"""""""""######$$$%%%&&&$$$&&&&&&&&&$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$(((&&&$$$$$$%%%&&&$$$"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$#########$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$$$$%%%%%%######$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((&&&&&&'''((('''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&(((%%%""" """$$$%%%&&&$$$$$$$$$$$$%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''&&&%%%$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&'''((((((%%%$$$$$$$$$$$$%%%&&&&&&'''&&&%%%$$$#########$$$%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$$$$%%%&&&&&&%%%###$$$&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&((()))(((&&&%%%&&&&&&&&&&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%$$$##################$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%''''''&&&%%%%%%$$$######$$$##################$$$#########"""!!!"""$$$&&&$$$%%%&&&'''&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%%%%&&&###%%%&&&&&&%%%%%%&&&'''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""!!!!!!!!! %%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$######$$$$$$$$$$$$%%%%%%%%%&&&"""""""""###$$$%%%&&&''' """$$$%%%%%%&&&(((***#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&((((((&&&&&&''''''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""$$$&&&'''$$$%%%%%%&&&&&&%%%$$$$$$###$$$$$$%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&'''(((######$$$$$$%%%&&&'''''')))))))))((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$###""""""$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%'''((('''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%###"""###$$$%%%&&&#########$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%(((((('''&&&&&&'''(((((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&''''''''''''%%%%%%%%%$$$%%%%%%&&&'''&&&&&&%%%$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&"""$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&((()))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''#########"""!!!"""$$$'''###$$$%%%&&&'''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%%%%&&&'''&&&$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''"""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%% """$$$%%%%%%&&&(((***#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$,,,000)))###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""$$$&&&'''$$$$$$%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&((()))***######$$$%%%&&&&&&'''''')))))))))((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%((((((''''''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&$$$###""""""###%%%'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&%%%%%%%%%#########$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''(((''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&''''''((('''&&&&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&!!!###%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$#########$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''###$$$%%%$$$######%%%'''$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$$$$$$$%%%&&&%%%###"""###$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%$$$"""!!! &&&%%%%%%$$$$$$$$$$$$%%%$$$&&&&&&&&&$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$***666:::000%%%###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%""""""############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%&&&((()))***$$$$$$%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%######$$$&&&'''((()))***%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###&&&(((((('''%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((()))'''''''''(((''''''&&&%%%'''&&&&&&&&&&&&'''((((((''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&((((((&&&%%%&&&''' """$$$%%%$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%)))'''%%%######$$$%%%'''%%%%%%%%%%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''###$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&%%%$$$###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$###%%%&&&&&&%%%%%%%%%'''%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$############!!!###$$$$$$""""""###%%%"""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############%%%%%%%%%%%%%%%%%%%%%%%%$$$"""  """$$$''''''''''''&&&$$$###!!!%%%%%%%%%$$$$$$%%%%%%&&&%%%&&&'''&&&$$$###$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$)))444888///''''''(((%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''&&&&&&&&&&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$%%%%%%&&&'''((())))))%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&%%%$$$%%%'''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$&&&'''&&&$$$###%%%'''%%%%%%%%%$$$$$$%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''%%%%%%&&&&&&''''''(((((((((((())))))))))))((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''((()))''''''((((((((('''%%%%%%&&&&&&%%%%%%&&&&&&'''(((''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$'''))))))'''%%%&&&''' """$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%(((''''''''''''((())))))$$$$$$$$$%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&'''''''''######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$###$$$%%%&&&&&&%%%$$$###"""###%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%((('''&&&&&&%%%$$$######(((''''''&&&&&&''''''(((###%%%'''((('''&&&&&&&&&%%%%%%$$$###$$$%%%'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######"""""" """""""""###$$$&&&""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(((%%%""""""%%%(((%%%&&&'''((((((((('''&&&$$$$$$$$$$$$%%%&&&''''''###$$$&&&%%%%%%%%%&&&'''&&&%%%%%%$$$$$$#########&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$(((+++$$$"""'''''' $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%%%%%%%$$$&&&%%%#########%%%'''((('''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&%%%$$$#########&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((('''&&&&&&'''(((%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&%%%### !!!%%%)))&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%&&&'''((())))))%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&'''((())))))''''''((((((((('''%%%$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$'''***)))'''%%%&&&''' """$$$$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%% """$$$&&&''''''&&&&&&######$$$%%%%%%&&&''''''%%%&&&&&&''''''&&&&&&%%%'''&&&&&&%%%%%%&&&&&&''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&!!!!!!"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&''''''%%%###$$$&&&'''%%%###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$#########$$$((('''&&&%%%$$$$$$$$$$$$%%%%%%$$$######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$######""""""######$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&%%%$$$%%%%%%&&&'''&&&&&&%%%$$$###""""""&&&%%%$$$$$$&&&&&&%%%$$$''''''''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&######%%%%%%%%%%%%######%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%%%%$$$%%%''')))$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$#########$$$%%%&&&######$$$%%%&&&&&&'''((($$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$%%%%%%&&&'''((('''%%%#########&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%&&&''')))***$$$$$$%%%%%%%%%%%%&&&&&&######%%%%%%%%%%%%######%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&######$$$%%%%%%&&&''''''&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$#########""""""$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%'''&&&$$$######$$$%%%&&&&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((('''''''''((('''&&&%%%%%%%%%&&&'''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''((((((((('''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&$$$""" """$$$&&&''''''''''''''''''&&&&&&''''''((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''&&&%%%$$$$$$&&&''')))(((''''''&&&&&&%%%$$$$$$%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&"""""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%%%%%%%%%%&&&''''''%%%###$$$&&&'''%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$######$$$$$$###############$$$%%%%%%%%%%%%$$$######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$###$$$$$$%%%&&&%%%%%%$$$$$$#########&&&%%%$$$$$$&&&&&&%%%$$$&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$%%%&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&$$$######""""""$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&%%%%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%%%%%%%$$$### """$$$%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%&&&'''((($$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%&&&&&&%%%$$$###&&&&&&''''''''''''&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&""""""###$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%))))))((((((((((((((()))&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&&&&&&&%%%$$$###"""""""""###$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%((('''%%%$$$$$$%%%'''(((&&&&&&&&&&&&&&&&&&''''''&&&''''''''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###%%%'''))))))'''%%%###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&""""""######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$ !!!"""$$$%%%&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$######""""""######$$$&&&&&&%%%%%%%%%%%%$$$$$$############$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&,,,)))&&&%%%''''''%%%"""%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%%%%%%%&&&%%%$$$$$$$$$#########"""$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###&&&''''''&&&###"""!!!###$$$$$$$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&&&&&&&'''''''''""""""######$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%&&&'''(((((('''&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&&&&&&&%%%######&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''''''''''''''&&&&&&&&&&&&$$$$$$%%%&&&&&&''''''(((%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''$$$$$$%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&(((((('''&&&$$$$$$$$$%%%&&&&&&'''(((((($$$%%%'''(((((('''%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$%%% !!!!!!"""$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%$$$###$$$&&&'''&&&%%%$$$$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&'''(((((($$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&"""!!!&&&)))(((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&''''''&&&$$$###"""$$$%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&'''''''''((((((######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&###%%%'''))))))(((&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%$$$!!!&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&((((((((('''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''(((((('''''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%###$$$%%%&&&&&&%%%$$$#########$$$$$$%%%&&&''''''%%%%%%&&&&&&%%%%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$###$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&#########$$$$$$%%%%%%&&&%%%$$$###$$$&&&'''&&&%%%###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&'''((((((%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&"""&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$%%%%%%&&&''''''((($$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&$$$%%%''''''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$###$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&'''''''''((((((%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&%%%'''***,,,---+++)))'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&&&&%%%###!!!&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''%%%%%%%%%%%%$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((''''''&&&&&&%%%%%%%%%$$$(((((('''&&&%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%"""###$$$%%%%%%$$$###"""######$$$$$$%%%&&&''''''%%%%%%&&&&&&%%%%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$%%%&&&'''(((''''''&&&&&&&&&%%%%%%%%%((('''%%%$$$$$$%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%((('''&&&%%%$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''''''''&&&&&&#########$$$$$$%%%%%%%%%$$$######$$$&&&''''''&&&###$$$$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%#########$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&###!!! $$$&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%&&&'''((())))))$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$%%%&&&'''"""$$$&&&''''''''')))***&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%$$$###""""""###$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&###%%%(((***+++***(((&&&$$$%%%%%%&&&&&&%%%%%%$$$"""###%%%''')))))))))(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$'''(((((())))))(((((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''((((((&&&&&&'''''''''&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&%%%%%%%%%%%%))))))((('''%%%$$$###"""%%%&&&&&&''''''&&&&&&%%%$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$###$$$%%%((()))(((((('''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$######$$$&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&''''''&&&%%%%%%###%%%'''&&&$$$###%%%'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&((('''&&&%%%$$$$$$$$$$$$###$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&'''&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$&&&''''''&&&$$$$$$%%%&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&''''''''''''&&&%%%%%%%%%&&&&&&'''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&"""$$$&&&'''&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''((('''&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%$$$######$$$%%%&&&###"""!!! !!!"""###$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&!!!"""$$$&&&'''&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%&&&&&&''''''((())))))***))))))''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&(((((('''&&&%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&''''''&&&''''''''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&%%%###%%%'''(((((('''%%%###&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$######$$$&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%###%%%'''&&&$$$###%%%'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$#########$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%###$$$%%%&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$##################$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$&&&''''''&&&$$$%%%&&&&&&''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%'''&&&&&&&&&&&&&&&&&&&&&$$$$$$############$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&"""###$$$###""""""$$$&&&&&&&&&&&&&&&&&&&&&&&&&&& !!!###%%%&&&&&&&&&%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###%%%'''(((((('''%%%###&&&'''((('''%%%#########&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''((()))(((''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%############%%%%%%((('''%%%$$$$$$%%%'''((($$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&&&&'''''''''(((((($$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%%%%&&&$$$%%%&&&(((((()))(((((($$$$$$&&&&&&&&&&&&$$$$$$'''&&&%%%$$$############&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$%%%%%%&&&&&&%%%&&&'''''''''&&&$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''&&&&&&''''''((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''###$$$&&&(((((('''&&&%%%$$$%%%%%%&&&&&&''''''(((&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&&&&'''''''''&&&%%%%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""""""""######$$$$$$%%%$$$$$$$$$############"""######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$***)))'''&&&%%%%%%&&&'''&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&$$$%%%%%%###""""""$$$'''%%%%%%%%%$$$$$$#########!!!$$$%%%%%%%%%$$$&&&&&&&&&&&&%%%%%%$$$###'''&&&&&&%%%%%%$$$$$$###''''''&&&%%%######$$$&&&''''''&&&%%%%%%$$$######"""$$$%%%&&&&&&%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&%%%$$$$$$######$$$$$$%%%"""$$$&&&%%%$$$###$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%'''))))))%%%"""$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%&&&%%%$$$$$$&&&'''&&&$$$############$$$%%%&&&'''&&&%%%$$$###$$$%%%&&&''''''''''''&&&%%%$$$""""""$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%(((***,,,$$$%%%%%%&&&%%%$$$"""!!!######$$$$$$$$$%%%%%%%%%&&&%%%$$$######%%%'''((('''$$$""""""%%%''''''%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&%%%%%%$$$#########$$$%%%&&&((()))$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&((('''&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&'''((())))))'''&&&&&&%%%%%%%%%&&&&&&***)))'''%%%$$$$$$$$$%%%%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&'''&&&'''((('''$$$###"""###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%&&&((())))))(((&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$###$$$''')))'''%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&''''''&&&&&&%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$##################$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$'''&&&%%%%%%%%%&&&'''(((&&&&&&&&&&&&%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$""""""$$$&&&%%%%%%%%%$$$$$$$$$######!!!"""$$$%%%%%%$$$"""!!!%%%&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$""""""$$$%%%''''''&&&%%%%%%$$$######!!!"""###$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%###$$$&&&&&&$$$###$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%&&&((((((%%%###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&(((&&&%%%$$$%%%$$$###!!!############$$$%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((()))))))))%%%%%%%%%%%%%%%$$$######$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%$$$######%%%&&&((('''$$$"""###%%%''''''%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&''''''''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%%%%%%%%%%%%%(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&'''''''''((('''&&&&&&%%%%%%&&&&&&&&&''''''&&&%%%$$$%%%&&&&&&%%%%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&& """%%%&&&&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$%%%'''((('''%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$##################$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%&&&'''((('''&&&&&&&&&&&&&&&%%%%%%"""###$$$$$$%%%%%%$$$$$$$$$%%%%%%$$$######$$$&&&%%%%%%%%%$$$$$$$$$$$$###$$$%%%%%%&&&%%%$$$"""!!!%%%%%%&&&&&&&&&%%%$$$$$$######$$$%%%%%%&&&''''''%%%&&&&&&%%%######%%%&&&'''&&&&&&%%%%%%$$$$$$###%%%$$$$$$#########$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&###$$$&&&&&&$$$$$$$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%$$$%%%&&&'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&$$$######$$$$$$###"""$$$$$$$$$###$$$$$$%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%###$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###%%%'''((()))(((&&&%%%&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$&&&%%%$$$###$$$%%%&&&'''&&&$$$######%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$%%%&&&%%%$$$###"""$$$%%%%%%&&&&&&%%%%%%$$$''''''((((((''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$$$$$$$%%%%%%&&&***)))((('''&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%&&&''''''$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%!!!$$$%%%&&&'''(((***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&)))'''%%%$$$$$$%%%''')))%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%&&&'''&&&$$$%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&%%%&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######"""%%%%%%$$$$$$$$$###############$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%%%%%%%%%%###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&'''((('''&&&%%%&&&(((&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%###""""""###%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&'''&&&&&&%%%%%%&&&&&&'''###%%%&&&&&&%%%$$$$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%$$$$$$%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&!!! """$$$&&&&&&%%%%%%%%%$$$$$$###$$$$$$$$$###$$$%%%&&&'''&&&%%%$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&%%%$$$###'''&&&$$$######$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$%%%&&&'''%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%!!!###%%%&&&&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$''''''((((((''''''&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&############$$$%%%%%%&&&(((((('''&&&&&&%%%&&&&&&''''''&&&%%%%%%$$$######&&&%%%%%%%%%%%%&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$$$$###%%%&&&&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''''''''%%%%%%%%%%%%''''''%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&&&&&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$#########%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$######"""&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&&&&&&&&&&###$$$%%%%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%'''&&&%%%$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$######"""###%%%&&&'''###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&'''&&&&&&%%%%%%&&&&&&'''###%%%'''&&&%%%$$$%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&!!! """$$$&&&&&&%%%%%%%%%$$$$$$###$$$$$$$$$###$$$%%%&&&'''&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$$$$%%%&&&&&&&&&$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&###$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%!!!$$$&&&''''''%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$'''''''''''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&############$$$%%%%%%&&&%%%$$$$$$$$$%%%&&&''''''''''''&&&%%%%%%$$$######&&&%%%%%%%%%%%%&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&%%%%%%$$$#########$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%$$$$$$$$$$$$%%%'''((('''%%%#########&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&%%%$$$###"""!!!$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&''''''''''''&&&"""$$$&&&&&&$$$###$$$$$$###$$$$$$$$$$$$%%%%%%%%%'''&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%''''''&&&%%%%%%$$$###### """$$$$$$###"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$&&&''''''###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%''''''%%%%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&"""###%%%%%%$$$$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%&&&$$$######$$$$$$###"""$$$$$$$$$###$$$$$$%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$###$$$######""""""######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%***)))'''%%%%%%&&&((()))%%%%%%%%%%%%%%%&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&"""$$$&&&&&&%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&'''&&&%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$$$$$$$%%%%%%&&&#########$$$%%%&&&'''(((&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''(((''''''&&&&&&%%%###"""!!!$$$$$$%%%&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''&&&&&&%%%$$$$$$$$$%%%%%%###$$$&&&&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&###$$$&&&((((((&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''%%%$$$%%%&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&'''$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&'''(((((('''&&&%%%$$$%%%&&&&&&''''''&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%$$$############$$$$$$$$$%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%"""$$$&&&&&&%%%######$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!###%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&"""$$$&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$&&&''''''&&&%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&& """&&&&&&%%%$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%$$$$$$$$$$$$(((&&&%%%$$$%%%$$$###!!!############$$$%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''$$$%%%%%%&&&''''''&&&&&&###$$$$$$%%%&&&'''(((((($$$$$$%%%%%%&&&&&&&&&%%%!!!$$$''''''%%%$$$%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&'''''''''&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&%%%%%%$$$######$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&'''''''''(((%%%%%%%%%%%%&&&'''(((((($$$%%%%%%&&&%%%$$$###"""%%%%%%&&&''''''''''''&&&$$$$$$%%%%%%&&&''''''(((%%%%%%$$$$$$$$$%%%&&&&&&!!!###%%%&&&%%%%%%&&&(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&''''''%%%$$$&&&(((%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((($$$$$$$$$%%%%%%&&&&&&&&&%%%&&&'''(((((('''&&&%%%$$$%%%%%%&&&'''''''''&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$"""###%%%&&&''''''&&&%%%""""""#########$$$$$$$$$######$$$%%%%%%%%%%%%$$$"""$$$&&&&&&%%%$$$###$$$#########$$$$$$%%%%%%%%%!!!!!!!!!###$$$&&&((()))###$$$%%%%%%&&&&&&&&&&&&###$$$$$$%%%%%%&&&&&&'''###&&&((()))(((''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%###"""$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&"""$$$&&&&&&%%%%%%%%%&&&%%%$$$$$$######$$$$$$%%%$$$&&&''''''&&&%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&"""&&&'''%%%$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########&&&%%%$$$$$$&&&'''&&&$$$############$$$%%%&&&'''&&&%%%$$$###$$$%%%&&&'''""""""$$$%%%&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% !!!###%%%%%%%%%###"""###$$$&&&'''((('''&&&&&&"""###$$$%%%'''((())))))###$$$%%%&&&&&&&&&%%%%%%!!!$$$''''''%%%$$$%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&'''''''''&&&%%%%%%%%%&&&'''((()))***$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%$$$############$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&(((''''''&&&%%%%%%%%%%%%(((''''''&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&'''((())))))$$$$$$$$$%%%&&&'''((()))"""###$$$%%%&&&%%%$$$$$$%%%&&&''''''((((((''''''$$$$$$%%%%%%&&&'''(((((($$$$$$$$$$$$%%%&&&&&&'''###$$$&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%'''&&&$$$######$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###%%%''''''%%%%%%''')))%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''((())))))''''''''''''''''''''''''(((((('''''''''&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&"""###%%%&&&&&&&&&%%%%%%%%%%%%&&&'''&&&%%%###"""$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$$$$%%%''')))***'''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%$$$"""%%%%%%$$$$$$%%%%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###%%%''''''&&&$$$$$$%%%&&&&&&&&&%%%$$$###"""!!!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%)))(((&&&%%%$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''$$$$$$$$$$$$%%%&&&'''((('''&&&%%%$$$%%%''')))***%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$''''''&&&%%%%%%%%%&&&&&&((('''&&&&&&$$$$$$###"""&&&''''''((((((''''''&&&###((()))&&&$$$%%%%%%###&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%$$$#########$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$'''&&&%%%$$$$$$%%%&&&'''$$$%%%&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$!!!!!!###%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%((('''%%%$$$$$$%%%'''((('''%%%###$$$&&&'''&&&#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%&&&''''''%%%%%%&&&''')))))))))((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%''''''&&&&&&&&&''''''((((((((('''&&&&&&&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$%%%)))+++)))$$$"""%%%(((((((((((((((((((((((((((###$$$$$$%%%%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''(((((((((((('''&&&%%%###"""%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((%%%###$$$&&&'''%%%"""$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%))))))((((((''''''''''''&&&''')))(((&&&$$$$$$%%%%%%''')))&&&######)))///&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&((()))))))))((((((%%%%%%&&&&&&&&&%%%$$$###$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$%%%&&&((()))&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!###%%%&&&&&&$$$"""!!!%%%%%%$$$$$$%%%%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###%%%''''''%%%$$$$$$%%%%%%%%%%%%%%%%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$$$$$$$%%%&&&'''((('''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%''''''$$$$$$''''''$$$'''&&&&&&%%%%%%&&&&&&''''''&&&%%%$$$#########$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''%%%###"""!!!###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%'''&&&%%%$$$$$$%%%&&&'''&&&$$$"""###%%%&&&%%%######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$%%%&&&%%%$$$$$$%%%&&&(((''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''((((((((((((((())))))***))))))(((''''''''''''((((((((('''''''''&&&&&&&&&$$$&&&((('''%%%$$$&&&)))''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))&&&%%%%%%''''''&&&$$$%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%(((((((((''''''&&&&&&&&&$$$%%%&&&%%%###"""###$$$%%%'''***...000000---+++%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%''''''''''''%%%%%%$$$$$$%%%%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&&&&%%%$$$$$$%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%&&&'''''''''&&&$$$#########$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&''''''''''''''''''$$$$$$###$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&$$$$$$)))///000,,,(((''''''&&&&&&''''''(((((('''&&&%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&((('''&&&&&&'''((('''&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%'''''''''&&&&&&&&&&&&%%%(((''''''&&&&&&''''''(((%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%###$$$%%%%%%######$$$%%%%%%&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''(((((()))))))))******)))((((((((((((((((((''''''''''''&&&&&&&&&###$$$%%%%%%&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))'''&&&&&&'''(((&&&%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&&&&%%%%%%$$$%%%%%%$$$""""""$$$%%%((((((,,,555<<<;;;111'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&"""###$$$%%%&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$%%%%%%$$$$$$%%%%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&%%%$$$###$$$%%%###$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%%%%$$$$$$$$$$$$%%%$$$$$$$$$%%%%%%&&&'''%%%%%%$$$$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&''''''(((((($$$$$$$$$######$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&''''''((((((''''''&&&%%%%%%$$$&&&000:::===:::''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&$$$%%%&&&''''''&&&%%%$$$###$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&&&&&&&%%%$$$'''&&&&&&&&&''''''&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###%%%&&&%%%$$$###$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&$$$%%%%%%&&&''''''''''''***)))((((((''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$######$$$&&&'''%%%%%%&&&&&&&&&&&&&&&&&&'''(((((((((''''''&&&&&&$$$%%%&&&&&&''''''&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&'''&&&&&&%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%'''))),,,+++---444;;;:::000&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&"""###$$$%%%&&&'''''''''''''''''''''''''''''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%'''''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$"""!!!!!!!!!"""%%%%%%$$$$$$%%%%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%$$$######$$$%%%###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$$$$%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&&&&&&&'''&&&%%%%%%$$$###############$$$$$$%%%%%%&&&&&&'''&&&''''''((((((''''''&&&&&&&&&%%%(((111<<>>777///...111111+++$$$%%%&&&'''(((&&&$$$$$$&&&!!!"""###$$$%%%&&&''''''&&&$$$######%%%&&&&&&%%%$$$%%%%%%%%%&&&'''''''''&&&&&&&&&&&&'''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%&&&''')))))))))((((((''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&''''''%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%&&&'''((()))######$$$$$$$$$$$$######&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&''''''''''''&&&&&&%%%###"""!!!###$$$$$$###""""""###%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''((()))+++(((&&&$$$$$$$$$"""!!!######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&'''((()))((('''&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%&&&&&&'''###$$$%%%&&&&&&&&&&&&%%%&&&&&&&&&&&&''''''''''''%%%$$$$$$######$$$$$$%%%$$$%%%&&&(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%&&&'''$$$%%%&&&&&&'''''''''&&&$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%'''&&&&&&%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%''''''''''''&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&''''''''''''$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&)))))))))(((((((((((((((''''''''''''''''''''''''******((('''&&&%%%%%%%%%'''&&&%%%%%%%%%&&&'''(((%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''$$$&&&'''&&&%%%%%%&&&((('''''''''''''''''''''''''''%%%%%%%%%'''((('''&&&'''###!!!%%%((('''%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%''''''((((((((()))))))))''''''''''''''''''''''''&&&&&&&&&'''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&###%%%'''''''''''')))***,,,***)))***++++++***))))))+++,,,***((((((+++///---******///000,,,))))))+++***))))))***+++---...000...111888<<<888222000222---'''&&&((()))'''$$$&&&%%%''')))'''$$$%%%((($$$$$$&&&'''((((((((((((&&&$$$######%%%&&&&&&%%%&&&&&&&&&&&&&&&'''''''''$$$$$$%%%&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%&&&(((*********)))(((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%%%%%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$&&&'''((($$$%%%%%%&&&%%%$$$###"""###%%%%%%$$$""""""$$$&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((()))'''$$$###$$$%%%$$$#########$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&%%%$$$$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$###%%%&&&(((((('''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&'''''''''%%%%%%&&&&&&%%%%%%&&&'''%%%&&&&&&&&&'''(((((((((%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%&&&'''''''''&&&%%%$$$$$$$$$###$$$$$$%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''$$$%%%%%%&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&''''''''''''$$$%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&'''(((((('''&&&%%%%%%&&&&&&&&&'''''''''))))))((((((''''''''''''''''''''''''''''''''''''(((((('''&&&%%%%%%%%%&&&&&&%%%$$$###$$$%%%'''(((&&&&&&'''''''''(((((((((''''''''''''''''''''''''$$$%%%'''&&&%%%%%%&&&((('''''''''''''''''''''''''''%%%$$$%%%'''((('''%%%$$$!!!&&&%%%######%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$$$$%%%%%%%%%%%%$$$$$$(((((((((((())))))))))))''''''''''''''''''''''''&&&&&&''''''(((((())))))$$$%%%%%%&&&&&&'''''''''###%%%(((((('''''')))++++++)))'''(((+++,,,***)))(((+++,,,***''''''+++000...((('''...333111,,,)))///...---------///111222111,,,+++000333///***((('''%%%$$$$$$%%%&&&&&&%%%&&&%%%&&&)))((($$$$$$)))((((((((((((&&&%%%###"""&&&$$$######%%%&&&&&&%%%((((((''''''''''''''''''######$$$%%%'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&'''''''''&&&$$$&&&(((***++++++))))))''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&#########$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######''''''&&&&&&&&&%%%%%%%%%&&&''''''((((((''''''&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$&&&'''((("""###$$$%%%&&&%%%$$$$$$$$$&&&'''&&&######%%%((($$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&''''''%%%######%%%&&&'''&&&######$$$$$$$$$%%%%%%%%%&&&%%%$$$###""""""""""""%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$'''&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$"""###%%%''''''&&&%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&&&&'''((((((&&&&&&'''&&&%%%%%%&&&(((######$$$$$$%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&$$$"""!!!"""$$$&&&((($$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$%%%&&&&&&&&&&&&%%%%%%'''''''''&&&%%%$$$$$$$$$######$$$$$$%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$%%%&&&''''''$$$%%%&&&&&&''''''&&&&&&(((((('''''''''&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&'''''''''((((((&&&''''''((((((''''''&&&$$$%%%'''))))))((('''&&&&&&&&&&&&''''''((((((((((((((('''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&'''&&&%%%#########%%%'''((('''''''''(((((((((((()))(((((((((((((((((((((((($$$%%%&&&&&&%%%%%%'''((('''''''''''''''''''''''''''$$$###$$$''')))'''%%%((( &&&+++)))((()))$$$%%%''''''''''''%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((())))))))))))((((((&&&&&&&&&&&&'''''''''((('''''''''''''''''''''''')))))))))(((''''''&&&&&&$$$$$$%%%%%%&&&'''(((((((((***,,,,,,)))'''(((***'''%%%$$$%%%(((***(((&&&%%%((()))'''$$$$$$)))...333,,,)))000666444---(((+++***)))((()))+++---///---&&&###&&&)))(((&&&%%%###%%%''''''&&&%%%%%%&&&&&&$$$%%%)))(((###$$$)))%%%&&&''')))******)))(((&&&$$$###$$$%%%&&&&&&&&&)))))))))((('''''''''&&&''''''&&&%%%&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&(((***+++)))((('''&&&&&&'''((()))%%%%%%&&&&&&'''((((((((($$$$$$$$$%%%%%%%%%&&&&&&(((((((((''''''&&&&&&&&&(((((((((((((((((((((((($$$$$$%%%%%%&&&'''(((((($$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''%%%###!!! !!!###%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&'''(((*********(((&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&&&&%%%$$$$$$%%%&&&&&&######$$$%%%%%%%%%%%%$$$'''&&&&&&%%%%%%$$$$$$$$$!!!!!!"""###$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&###$$$$$$%%%&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&###%%%&&&(((((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%###$$$%%%%%%&&&&&&%%%%%%###$$$$$$%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$#########$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((&&&%%%%%%&&&'''&&&%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))))))))(((''''''&&&&&&'''&&&&&&%%%%%%&&&&&&'''((('''&&&%%%%%%&&&'''((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))(((((((((''''''''''''))))))((((((''''''&&&&&&''''''&&&%%%%%%%%%&&&&&&$$$%%%&&&'''''''''&&&%%%(((((('''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''#########$$$%%%&&&''''''''''''''''''''''''''''''%%%%%%&&&'''((((((''''''(((((((((((((((((((((((()))((('''&&&%%%&&&&&&'''((('''%%%$$$$$$%%%'''(((***)))((('''&&&&&&'''(((((((((((('''&&&&&&%%%%%%&&&'''''''''(((((())))))'''''''''(((((((((((()))))))))************))))))((('''&&&&&&&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&&&&%%%###!!! !!!&&&((())))))((('''&&&%%%%%%%%%&&&((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&''''''&&&%%%&&&'''((()))((('''&&&%%%%%%&&&'''(((''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&''''''((($$$&&&'''&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$""""""###$$$%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&"""###$$$%%%%%%$$$$$$###%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&%%%$$$######$$$%%%&&&######$$$%%%%%%%%%%%%$$$&&&&&&%%%%%%$$$$$$$$$$$$"""""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%"""###%%%'''(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''''''''&&&''''''''''''&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$######$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((&&&$$$%%%&&&'''&&&%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''((((((''''''&&&&&&''''''(((((('''&&&&&&&&&&&&'''((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''((()))******(((((((((((((((''''''''')))(((''''''&&&&&&&&&&&&$$$%%%&&&'''''''''&&&&&&(((((('''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''%%%&&&'''(((((((((((((((''''''''''''''''''''''''%%%&&&&&&'''(((((('''''''''''''''''''''''''''''')))((('''&&&%%%&&&&&&'''''''''''''''''''''''''''***)))((('''&&&&&&'''(((&&&&&&''''''''''''''''''&&&&&&&&&&&&'''''''''(((%%%%%%&&&&&&&&&'''''''''&&&''''''((((((''''''&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((('''&&&%%%$$$###$$$&&&''''''&&&%%%$$$&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''(((((()))((('''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&)))(((((('''&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''''''''%%%'''''''''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$############$$$$$$######$$$%%%%%%%%%%%%$$$%%%%%%$$$$$$$$$$$$$$$$$$""""""######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%!!!"""$$$'''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&''''''((((((''''''***))))))(((''''''&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$$$$$$$$$$''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$$$$&&&''''''&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&''''''(((((((((((((((''''''(((((((((((('''&&&&&&&&&&&&'''((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''))))))***+++'''''''''(((((((((((((((******)))(((''''''&&&&&&%%%%%%&&&''''''''''''&&&'''''''''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&'''))))))***)))((('''''''''''''''''''''''''''%%%&&&''''''((('''''''''''''''''''''''''''''''''(((((('''&&&&&&&&&&&&'''&&&''''''((((((''''''&&&)))(((''''''&&&'''''''''%%%%%%&&&&&&'''(((((()))%%%%%%%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''(((((((((((('''&&&)))(((((('''&&&%%%$$$###%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''&&&'''''''''(((((())))))((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&'''((((((&&&&&&'''(((########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''''''''''''''$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&'''&&&&&&&&&&&&'''((()))%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$####################################$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&%%%$$$$$$###%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''(((((())))))(((((('''###$$$%%%&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%$$$$$$###%%%%%%&&&'''''''''''''''))))))((((((''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''%%%$$$$$$&&&''''''&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''((((((''''''''''''(((((('''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''')))))))))(((((((((((('''&&&&&&''''''(((((()))))))))))))))((('''&&&%%%$$$%%%&&&&&&'''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''%%%&&&((()))((('''&&&$$$''''''''''''''''''''''''&&&&&&'''''''''''''''&&&))))))))))))))))))))))))''''''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$$$$$$$%%%%%%%%%&&&''''''((((((''''''&&&%%%&&&((())))))(((&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''&&&&&&%%%$$$$$$%%%&&&'''%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''&&&'''''''''(((((())))))&&&&&&&&&''''''''''''''''''''''''(((((('''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&'''((((((&&&&&&'''(((########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%'''(((((('''&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&'''&&&%%%$$$$$$$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$####################################$$$%%%%%%%%%%%%$$$#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%$$$$$$###$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$&&&'''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&''''''''''''''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''***)))))))))((((((((((((&&&&&&''''''(((((())))))''''''(((''''''%%%$$$###&&&&&&&&&&&&''''''((((((&&&'''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&'''((((((((('''&&&%%%((((((((((((((((((((((((&&&'''''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''''''''(((&&&$$$######$$$&&&(((&&&&&&''''''''''''''''''(((((('''''''''&&&&&&&&&((((((''''''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%&&&((())))))(((&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((($$$###""""""###%%%'''(((%%%&&&''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''((((((%%%%%%&&&'''((((((''''''''''''((())))))(((''''''%%%%%%&&&&&&'''(((((()))%%%&&&&&&&&&&&&'''''''''%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%'''''''''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''$$$%%%&&&'''''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&((((((((('''&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$############$$$%%%%%%$$$############$$$%%%%%%%%%%%%$$$######$$$%%%&&&&&&''''''$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&%%%$$$$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$(((''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%######$$$$$$%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$&&&(((((('''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((''''''&&&%%%%%%$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&'''(((((('''&&&&&&'''''''''''''''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&'''((((((******+++,,,'''''''''(((((((((((((((%%%&&&'''''''''&&&$$$$$$''''''&&&&&&''''''((()))&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''((((((((((((((((((((()))(((((((((((((((((((((((('''''''''(((''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''((('''''''''((('''%%%$$$$$$%%%'''(((%%%%%%&&&''''''''''''&&&)))(((((('''&&&&&&%%%%%%((((((((((((((('''''''''&&&&&&&&&&&&''''''''''''$$$%%%%%%%%%%%%%%%%%%$$$%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&'''((())))))&&&%%%############$$$%%%&&&'''((()))))))))(((((('''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&'''((((((((('''&&&%%%&&&&&&'''(((((('''&&&&&&&&&&&&''''''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&'''&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&'''((()))))))))((('''&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$#########$$$%%%&&&&&&%%%$$$#########$$$%%%%%%%%%%%%$$$###$$$$$$&&&'''((())))))%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$######''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$###$$$&&&(((((('''%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''((('''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&'''(((((('''&&&&&&&&&'''''''''((((((((()))''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((()))***++++++,,,((((((((((((((('''''''''$$$%%%'''(((((((((&&&%%%(((''''''&&&''''''))))))&&&&&&&&&'''''''''((((((''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''((('''&&&%%%&&&''')))+++((((((((((((((((((((((((''''''(((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''(((((((((''''''&&&'''((())))))((('''&&&$$$%%%&&&'''''''''&&&&&&''''''''''''''''''&&&&&&(((((((((''''''&&&&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%&&&'''(((&&&&&&%%%$$$$$$$$$$$$$$$&&&''')))*********)))((((((((((((((((((((((((((('''''''''&&&&&&%%%%%%$$$((()))))))))(((&&&$$$###%%%%%%&&&''''''&&&%%%%%%((((((((('''&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&& """$$$&&&&&&&&&$$$###%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$%%%&&&&&&&&&&&&%%%$$$######$$$%%%%%%%%%%%%$$$$$$$$$%%%&&&((()))******%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$$$$$$$$$$&&&'''###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&''''''(((((('''''''''&&&&&&%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$###$$$&&&(((((((((%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&''''''((()))))))))((((((''''''''''''((((((%%%&&&'''(((((('''&&&%%%&&&'''''''''(((((())))))(((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((((((((((((************))))))))))))))))))(((((('''''''''&&&$$$%%%((()))***)))((('''(((''''''&&&&&&((()))***&&&&&&&&&'''''''''(((((('''''''''&&&&&&''''''''''''''''''&&&&&&'''''''''%%%$$$"""!!!"""%%%(((***))))))))))))))))))))))))'''((((((((('''&&&%%%%%%(((((((((((((((((((((((($$$%%%'''(((((((((''''''%%%(((+++......+++(((%%%###$$$&&&'''((('''&&&&&&%%%%%%&&&&&&'''((((((((('''''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''(((((())))))(((((('''((('''&&&&&&&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%############$$$%%%%%%%%%%%%&&&&&&'''''''''))))))((('''''''''''''''''''''(((((()))*********(((''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%&&&&&&&&&'''((((((((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''&&&&&&&&&&&&'''((((((&&&''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%&&&'''&&&%%%###""""""$$$%%%'''&&&&&&&&&&&&%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&%%%%%%$$$&&&$$$  $$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###%%%''''''&&&%%%$$$%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$#########&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&&&&&&&''''''######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%))))))***))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&'''%%%###$$$&&&'''%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&$$$$$$###"""###$$$%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&''''''((((((((((((((('''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&&&&'''(((((((((%%%$$$###%%%'''((((((''')))((('''&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''(((((((((((((((''''''''',,,...///,,,&&&$$$'''+++(((%%%"""###&&&((((((&&&''''''((((((((((((''''''''''''''''''((((((((()))((('''&&&''')))))))))(((###$$$&&&)))************+++*********))))))))))))+++***)))((('''&&&%%%%%%''''''(((((((((((((((((()))))))))(((''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''((((((((('''&&&&&&%%%%%%((('''&&&%%%%%%&&&'''((((((((('''''''''&&&&&&&&&&&&&&&&&&'''''''''(((((())))))))))))))))))))))))''''''''''''''''''''''''******)))(((((((((((((((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''(((++++++******)))))))))(((&&&&&&&&&''''''''''''((()))'''%%%$$$$$$$$$&&&'''(((((('''''''''&&&&&&%%%''''''''''''''''''''''''&&&&&&''''''((()))))))))%%%%%%%%%%%%%%%%%%%%%%%%((((((((('''&&&&&&%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$###!!!&&&(((&&&&&&(((***'''&&&&&&%%%%%%$$$$$$###)))(((((('''''''''''''''(((((((((((((((((((((((((((''''''''''''&&&&&&&&&%%%&&&&&&&&&''''''''''''((((((((((((((((((((((((&&&&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&'''((((((&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%&&&'''&&&%%%$$$###"""###%%%&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$&&&&&&%%%### """%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########!!! ###%%%'''(((((())))))(((((('''&&&%%%%%%%%%$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&%%%&&&&&&'''###$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''(((((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&'''%%%###$$$&&&'''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$%%%%%%%%%%%%$$$###$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''((((((((((((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''''''''''''''%%%$$$$$$%%%'''(((((('''(((((('''&&&&&&&&&&&&&&&&&&&&&'''''''''''''''(((((((((((((((((((((((('''***,,,---***%%%$$$&&&***)))&&&$$$$$$&&&((((((&&&''''''(((((((((((('''''''''''''''((((((((())))))'''&&&&&&&&&((()))((('''"""###%%%&&&''''''''''''(((((('''''''''''''''''''''''''''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((('''&&&&&&&&&&&&'''((((((((('''''''''&&&&&&&&&&&&&&&&&&'''''''''(((((())))))))))))))))))))))))'''''''''''''''''''''''')))(((((('''''''''''''''%%%%%%&&&&&&&&&'''''''''&&&&&&&&&''''''''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&''''''''''''((()))(((&&&%%%$$$%%%&&&'''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((((((((''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$###### ###&&&''''''&&&&&&'''%%%%%%%%%%%%%%%%%%%%%&&&)))(((''''''&&&&&&'''''')))(((((('''&&&&&&%%%%%%(((''''''''''''&&&&&&&&&&&&&&&'''''''''((((((((((((((((((((((((((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((('''&&&&&&&&&&&&'''((((((%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%&&&''''''&&&%%%#########$$$$$$&&&&&&&&&&&&&&&&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%'''((((((&&&$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$!!!###'''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%&&&&&&%%%&&&&&&&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%&&&'''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''((((((((((((''''''&&&&&&%%%%%%&&&&&&''''''''''''''''''&&&&&&&&&&&&%%%$$$%%%'''(((((('''(((((('''&&&&&&&&&&&&'''((((((((((((((('''''''''''''''((((((((((((((((((&&&((()))'''$$$###&&&)))***(((&&&&&&'''((((((''''''(((((())))))(((((('''''''''((((((((()))))))))'''&&&%%%&&&((((((((('''###$$$%%%&&&&&&&&&&&&%%%&&&&&&&&&''''''''''''''''''''''''(((((()))))))))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''(((((()))******''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&&&&'''(((((())))))((('''&&&&&&&&&&&&'''((('''''''''''''''&&&&&&&&&&&&&&&'''''''''((((((((())))))))))))))))))))))))(((((((((((((((((((((((((((((('''&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''&&&&&&&&&''''''''''''((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((()))((('''&&&&&&&&&'''((()))((('''&&&&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&%%%%%%$$$$$$''''''''''''''''''''''''%%%%%%&&&&&&'''(((((((((''''''&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&''''''%%%$$$###$$$$$$%%%&&&&&&''''''(((((('''&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%(((''''''''''''&&&&&&&&&'''''''''(((((((((((()))((((((((((((((((((((((((((((((((('''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&'''((((((%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''%%%%%%&&&'''((('''&&&$$$#########$$$$$$%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%###%%%''''''%%%###""""""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$!!! """&&&)))$$$%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((('''''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%$$$%%%&&&''''''(((((('''''''''&&&&&&%%%%%%&&&&&&'''((((((((('''&&&&&&&&&%%%&&&%%%%%%&&&'''(((((('''(((''''''&&&&&&&&&'''''')))(((((((((''''''&&&&&&''''''''''''((((((((((((%%%&&&((('''%%%%%%&&&(((***)))(((((((((((((((((((((((())))))))))))(((((('''(((((((((((()))))))))'''%%%%%%&&&'''((('''&&&''''''((((((((('''''''''((((((((((((((()))))))))******))))))(((''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%''''''(((((())))))))))))''''''''''''''''''''''''''''''''''''''''''''''''&&&'''''''''((((((((()))'''''''''&&&&&&'''''''''''''''''''''''''''''''''''''''''''''(((((((((((()))))))))))))))))))))))))))))))))))))))))))))))))))(((''''''&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&''''''''''''(((((((((((((((((((((''''''&&&&&&&&&''''''''''''(((***)))(((''''''''''''((()))((('''&&&&&&'''((()))%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''((((((''''''''''''''''''''''''((((((((('''&&&&&&%%%%%%''''''&&&&&&&&&%%%%%%%%%''''''(((((((((''''''&&&&&&$$$###%%%((()))'''$$$%%%%%%%%%%%%&&&&&&''''''(((((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''(((''''''''''''&&&&&&&&&'''''''''(((((((((((()))&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&'''&&&&&&&&&&&&'''((((((%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''%%%%%%&&&'''((('''&&&%%%$$$$$$############$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&'''&&&$$$$$$$$$$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%$$$%%%%%%$$$###"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&%%%$$$&&&'''&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###############$$$%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&'''''''''%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''''''''&&&&&&%%%%%%&&&&&&'''((((((((('''&&&&&&&&&%%%'''&&&%%%&&&(((((((((&&&''''''&&&&&&&&&''''''((((((''''''&&&&&&%%%%%%%%%&&&'''''''''(((((())))))%%%&&&(((((('''''''''(((((())))))))))))(((((()))(((((())))))))))))(((((((((((((((((()))))))))***'''&&&%%%&&&((()))((('''))))))(((((((((''''''((((((((())))))))))))))))))*********)))((((((''''''))))))(((((('''''''''&&&******))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))((((((((('''''''''&&&''''''''''''''''''&&&&&&''''''''''''''''''''''''''''''((((((((())))))(((((((((((((((((((((((())))))))))))))))))))))))***)))((((((''''''((((((&&&&&&&&&'''''''''((((((&&&&&&&&&''''''''''''(((''''''((((((((((((((((((&&&&&&&&&''''''''''''((())))))(((((('''''''''''')))(((''''''''''''))))))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''&&&&&&%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%###"""$$$(((***)))&&&'''''''''&&&&&&%%%%%%%%%((('''&&&&&&%%%%%%&&&&&&$$$$$$%%%%%%&&&''''''((((((''''''''''''&&&&&&&&&&&&&&&'''''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&'''&&&&&&&&&&&&'''((((((&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''%%%%%%&&&'''''''''&&&&&&%%%%%%$$$$$$"""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&'''&&&%%%###$$$&&&(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""$$$''''''&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%############$$$%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&''''''((((((&&&''''''(((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%'''((('''&&&%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&''''''(((((('''''''''''''''&&&&&&&&&&&&&&&%%%%%%&&&''''''''''''&&&'''&&&&&&%%%%%%&&&&&&''''''''''''''''''&&&&&&&&&((('''&&&'''((()))(((&&&'''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''((()))))))))''''''(((((()))(((((('''&&&(((******)))((()))***((())))))******))))))(((((((((((()))))))))******((('''&&&''')))))))))(((((((((''''''&&&''''''((()))(((((((((''''''''''''''''''((())))))***++++++++++++******)))(((((((((++++++***))))))(((''''''((((((((((((((((((((((((((((((((((((((((((((((((******)))(((((('''&&&&&&&&&&&&'''(((((('''&&&&&&&&&&&&&&&'''''''''''''''''''''((((((((()))))))))((((((((((((((((((((((((((((((((((((((((((((((((******)))(((((((((((((((&&&&&&'''''''''(((((((((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&'''''''''&&&&&&&&&''''''''''''(((((((((((('''''''''&&&&&&''''''((((((((()))))))))%%%%%%%%%%%%%%%%%%%%%%%%***))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((((((((''''''&&&&&&&&&%%%%%%%%%######$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%''')))))))))((((((''''''&&&%%%%%%$$$((('''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&'''''''''(((''''''''''''&&&&&&&&&%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&'''(((((('''(((((())))))(((((('''''''''''''''''''''''''''%%%&&&''''''%%%%%%&&&'''&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&'''&&&''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%&&&'''&&&%%%%%%&&&(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!$$$&&&&&&%%%############$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%''''''%%%%%%%%%&&&&&&&&&&&&'''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%&&&&&&'''(((((((((&&&&&&'''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%'''((((((&&&%%%&&&(((%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%&&&''''''&&&%%%%%%###$$$%%%'''((((((((('''&&&&&&&&&&&&''''''''''''$$$%%%&&&&&&''''''&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''''''''''')))'''&&&'''((()))(((&&&&&&&&&&&&&&&&&&'''((((((&&&&&&&&&&&&''''''''''''&&&&&&''''''((())))))***''''''(((((()))((('''%%%###&&&)))***)))((()))+++))))))************))))))(((((()))))))))*********)))((('''(((*********)))))))))(((''''''((()))***++++++***)))(((''''''&&&&&&'''((()))***+++,,,,,,,,,++++++***))))))((((((******))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((()))))))))(((((((((((((((&&&&&&'''(((((('''&&&&&&&&&&&&&&&'''''''''(((((('''((((((((())))))))))))((((((((((((((((((((((((''''''''''''''''''''''''))))))(((''''''''''''(((''''''''''''((((((((((((&&&&&&&&&''''''''''''(((&&&&&&&&&''''''(((((((((&&&&&&&&&''''''''''''((('''''''''''''''&&&%%%%%%&&&''')))*********((((((&&&&&&&&&&&&&&&&&&&&&&&&)))((((((''''''&&&%%%%%%''''''''''''''''''''''''%%%%%%&&&&&&'''(((((((((''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&%%%&&&'''&&&&&&&&&((()))'''''''''''''''&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&)))((((((''''''&&&&&&%%%(((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%&&&&&&''''''(((((((((((((((((((((((((((((((((&&&&&&&&&'''''''''(((((('''&&&&&&&&&&&&'''(((((((((((())))))))))))((((((''''''''''''''''''''''''%%%&&&''''''%%%%%%&&&'''%%%%%%&&&&&&'''&&&&&&&&&%%%&&&&&&'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&'''((())))))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&'''''''''&&&"""$$$&&&'''%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&%%%$$$%%%&&&'''(((((())))))(((((('''#########$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%&&&&&&'''((())))))%%%&&&&&&'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%''')))(((&&&%%%&&&)))%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%&&&''''''&&&%%%%%%!!!"""$$$&&&((((((((((((%%%&&&&&&&&&'''((((((((($$$%%%&&&&&&''''''&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&''''''((((((((()))(((''''''((()))(((&&&&&&&&&&&&&&&&&&'''((()))&&&'''''''''(((((())))))&&&&&&&&&'''((())))))***'''''''''((()))(((&&&$$$!!!$$$((()))(((((()))+++))))))************))))))))))))))))))***************)))((()))***+++***))),,,+++*********+++---...///...---,,,+++)))((((((************)))))))))))),,,++++++***)))(((((('''((((((((()))******++++++))))))))))))))))))))))))))))))))))))))))))))))))''''''(((((())))))******%%%&&&'''(((((('''&&&%%%&&&&&&&&&'''''''''(((((((((((((((((())))))))))))((((((((((((((((((((((((''''''''''''''''''''''''(((((('''&&&&&&&&&&&&'''''''''''''''((((((((()))&&&&&&&&&'''''''''((((((((()))))))))******++++++&&&&&&&&&'''''''''((((((&&&&&&''''''&&&&&&%%%$$$$$$&&&)))+++,,,***((('''''''''''''''''''''''''''$$$$$$%%%&&&&&&''''''((()))))))))))))))))))))))))))(((((('''&&&&&&%%%%%%''''''&&&&&&&&&%%%%%%%%%''''''((()))******))))))&&&(((***((($$$###&&&(((%%%%%%&&&&&&'''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))((('''&&&&&&'''((()))***)))(((''''''&&&&&&''''''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%&&&'''((()))))))))((('''&&&%%%%%%$$$$$$$$$%%%&&&&&&''''''(((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&'''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%******)))((('''%%%###"""$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%***)))((('''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&&&&&&&&&&%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%$$$%%%&&&'''((('''''''''&&&&&&%%%%%%%%%((('''&&&&&&$$$$$$###"""$$$%%%&&&&&&&&&%%%$$$###&&&&&&&&&'''((()))***+++(((''''''''''''&&&&&&&&&''''''&&&%%%&&&'''((()))((((((((('''&&&&&&%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&''')))((('''''')))***$$$$$$%%%&&&''''''((((((&&&&&&'''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&,,,***(((%%%$$$%%%&&&&&&&&&'''(((************)))))))))*********++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,+++------------------------........................222///,,,+++,,,---------+++++++++,,,,,,,,,,,,------------------------------,,,,,,++++++***))))))******)))((('''&&&&&&%%%(((((())))))))))))))))))(((((())))))))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((())))))******((((((''''''''''''((((((%%%&&&((()))))))))((('''''''''''''''''''''''''''%%%%%%&&&'''((((((((('''%%%&&&''''''(((''''''''''''''''''&&&$$$$$$%%%&&&((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&'''''''''&&&&&&%%%%%%%%%))))))(((((('''''''''&&&((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((******))))))((((((((('''%%%&&&&&&''''''&&&&&&%%%))))))((((((''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''((((((&&&&&&&&&&&&'''((()))***'''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%&&&'''((((((******))))))((((((''''''%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$######$$$%%%'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###%%%&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!###$$$%%%%%%&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$'''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%&&&&&&&&&%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''%%%%%%$$$###$$$%%%&&&'''''''''&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%$$$$$$$$$"""###$$$%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%&&&''''''(((''''''''''''&&&&&&&&&'''&&&&&&%%%&&&'''((()))'''''''''''''''&&&&&&&&&''''''((()))))))))))))))%%%&&&''''''&&&%%%'''(((&&&'''''''''((()))))))))&&&'''''''''((((((((((((((((((((((((((((((((((((+++***(((&&&&&&&&&'''((('''(((***+++,,,,,,++++++++++++++++++,,,,,,,,,---------------------------//////000000000000//////000000000000000000000000111111111111111111111111555222///...///000000000........./////////000000------------------------......---,,,,,,++++++*********)))))))))((((((((())))))))))))))))))))))))))))))))))))))))))))))))'''''''''''''''((((((((())))))))))))((((((((((((((((((''''''''''''((((((&&&'''((()))))))))((((((''''''''''''''''''''''''&&&&&&''''''((('''''''''&&&'''(((((())))))(((((((((((()))'''&&&%%%&&&(((''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&'''''''''&&&&&&%%%%%%%%%)))((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%'''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''&&&&&&&&&&&&'''((()))***'''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&''''''((()))))))))))))))(((((((((''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$###""""""###$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$""""""###$$$%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ###%%%&&&''''''$$$%%%&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$#########((('''&&&%%%$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''(((((($$$$$$#########$$$%%%&&&'''&&&&&&&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%!!!"""$$$%%%&&&'''''''''%%%$$$$$$$$$$$$$$$%%%%%%(((''''''''''''&&&&&&&&&'''&&&&&&&&&&&&'''((((((&&&&&&&&&'''''''''''''''$$$$$$%%%&&&''''''''''''&&&'''((('''&&&%%%&&&'''))))))))))))))))))))))))(((((((((((())))))))))))************************,,,+++***)))))))))++++++++++++,,,...................../////////000000000222222222222222222222222333444444555555444444333666666666666666666666666444444444444444444444444999666333222333444333333222222222333333333444444000000000000000000000000111000000///......------++++++++++++++++++++++++))))))))))))))))))))))))******))))))))))))))))))'''((((((((())))))***************)))((('''''''''((((((''''''''''''(((((('''((())))))******))))))''''''''''''''''''''''''''''''((((((((('''&&&&&&'''(((((()))))))))))))))((()))***((('''&&&((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&((((((((((((&&&%%%))))))((('''&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%(((((('''&&&&&&&&&''''''&&&&&&&&&'''''''''''''''(((((('''&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########%%%&&&%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&'''&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&''''''''''''$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''%%%%%%%%%&&&''''''''''''''''''&&&%%%%%%%%%&&&&&&(((''''''''''''&&&&&&&&&&&&&&&&&&&&&''''''((((((%%%%%%&&&&&&'''(((((()))$$$$$$%%%%%%%%%%%%%%%$$$((()))***)))''''''''')))))))))))))))))))))((((((*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,---...////////////000111222222222222333333444444444555555555666666666666666666666666777777888888888888777777::::::::::::::::::::::::777777777777777777777777;;;999666555666666555444444444555555555666666666555555555555666666666666555444444333333222222111/////////......---------++++++++++++******************)))))))))))))))(((''''''(((((()))************)))))))))((((((((('''((((((''''''''''''((((((((())))))***************''''''''''''''''''''''''((((((((((((((('''&&&%%%''''''((())))))))))))(((((())))))((('''&&&((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&'''''''''''''''&&&&&&&&&((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&''''''((((((''''''''''''''''''''''''%%%&&&''''''((('''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''(((((('''&&&%%%)))((('''&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&''''''((((((''''''&&&%%%&&&&&&''''''&&&&&&%%%(((''''''&&&&&&&&&''''''&&&&&&&&&'''''''''''''''(((((('''&&&%%%$$$$$$###%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&"""$$$&&&(((((('''%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$%%%'''''''''&&&$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''&&&%%%$$$%%%&&&&&&$$$$$$%%%&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%!!!!!!!!!!!!"""###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&''''''((())))))((((((''''''''''''''''''&&&%%%%%%%%%&&&&&&(((''''''''''''&&&&&&&&&&&&&&&&&&'''''''''''''''$$$%%%%%%&&&'''((())))))))))))******)))(((''''''((()))***)))((('''((()))*********)))))))))))))))............////////////////////////////////////000000000111111222333333444444444444555666777777888888999999999:::::::::999999999999999999999999999999::::::::::::999999;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::::::::::::::;;;999777666777666555333444444444555555555666666777777777888888999999999999888888777777666555555444444333222000///...............---------,,,,,,*********)))))))))((((((''''''((((((((()))))))))'''((((((((()))))))))***((((((''''''''''''(((((()))))))))))))))******+++((((((((((((((((((((((((((()))))))))((('''&&&&&&%%%&&&''''''((((((''''''''''''((('''&&&&&&''')))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&'''''''''''''''''''''''''''''''''(((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((((((((())))))%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&''''''(((((((((''''''''''''''''''''''''%%%&&&''''''((('''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&'''((()))'''&&&&&&%%%%%%&&&&&&'''''''''((((((((((((''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%&&&&&&''')))))))))))))))((((((((((((((('''&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&###%%%'''))))))'''%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%&&&'''((((((&&&###$$$$$$%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&%%%%%% !!!"""$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$#########$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%&&&&&&'''''''''(((+++***)))((('''&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%(((''''''''''''&&&&&&&&&%%%&&&''''''((((((''''''%%%%%%&&&&&&'''((()))))))))))))))))))))(((((('''&&&((())))))(((((()))+++,,,,,,,,,---------------222222333333333444444444444444444444444444444444444555555666666777777777888888888888888:::;;;;;;;;;;;;<<<<<<<<<<<<======;;;;;;;;;;;;;;;;;;;;;;;;::::::;;;;;;;;;;;;::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;999888777777666444333333333333444444444555555666666666777777888888999;;;::::::999888888777777777666555444333222222111222222222111111000000///------,,,,,,+++*********)))))))))((((((((((((((('''''''''((()))*********((((((''''''''''''(((((()))(((((((((((()))***+++(((((((((((((((((((((((((((((()))))))))(((''''''%%%&&&&&&'''''''''''''''&&&'''((('''&&&&&&((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&'''''''''''''''((((((((('''''''''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&'''((((((((((((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%&&&'''(((((('''&&&&&&%%%%%%&&&&&&'''''''''((((((((((((''''''%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$%%%&&&'''******))))))(((((('''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$%%%'''((('''&&&######$$$%%%%%%&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$""""""""""""###%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%###$$$%%%%%%&&&&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%%%%%%%###$$$%%%&&&'''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''''')))((('''&&&%%%%%%&&&&&&%%%$$$$$$$$$%%%&&&''''''(((''''''''''''&&&&&&&&&%%%&&&'''((((((((('''&&&%%%&&&&&&&&&''''''((((((%%%&&&'''((())))))))))))(((***,,,,,,,,,,,,...///111111222222333333444444777777777777888888888888999999999999999999999999999999::::::::::::::::::;;;;;;::::::;;;<<<>>>???;;;;;;<<<<<<<<<=========<<<<<<<<<<<<<<<<<<<<<<<<;;;<<<<<<======<<<<<<;;;<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;<<<:::888888888777444222222222222333333333444444555666666777888888999999::::::999999888777777777666666666666666666666666666666666555444333333333111000000///......------+++++++++***))))))(((((((((((((((((())))))))))))((((((''''''''''''(((((((((((('''''''''((()))***(((((((((((((((((((((((('''(((((())))))))))))(((&&&&&&'''((((((((((((((('''((()))((('''''')))+++''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&'''''''''((((((((()))''''''''''''((((((((()))&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''''''''''''''''''''''''''&&&&&&&&&'''((())))))***))))))))))))))))))))))))''''''%%%$$$$$$%%%''''''(((((('''&&&%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''''''''((((((((((((''''''%%%&&&&&&''''''&&&&&&%%%""""""######$$$%%%&&&'''))))))((('''&&&%%%%%%$$$''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&(((&&&###!!!!!!###%%%'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$&&&'''&&&%%%######$$$%%%%%%&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%$$$%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%% !!!"""###$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''!!!"""###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&(((((('''''''''&&&&&&&&&"""###$$$%%%&&&%%%$$$$$$%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&%%%$$$###$$$%%%&&&'''&&&&&&&&&'''((()))***+++(((((('''''''''&&&&&&&&&%%%%%%'''((((((((('''&&&&&&&&&&&&'''''''''''''''&&&''')))+++---//////000,,,...000111111111333555555666666777888999::::::999999:::::::::;;;;;;;;;========================;;;<<<<<<===<<<<<<;;;;;;======<<<<<<<<<>>>???AAA;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<======>>>>>>>>>>>>======<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;<<<;;;999999999777555222222222222333333333333444777777888999999:::;;;;;;999999888777777666666555444555555777888999:::;;;999888888777666555555555444333333222111000000///...------,,,+++***))))))******))))))((((((''''''((((((''''''''''''((((((((('''&&&&&&&&&''')))***))))))))))))))))))))))))''''''((())))))***))))))'''(((((()))))))))))))))((()))***)))((()))***,,,((((((((((((((((((((((((&&&''''''''''''''''''&&&&&&'''''''''(((((())))))&&&'''''''''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((%%%&&&&&&''''''&&&&&&%%%$$$#########""""""!!!!!!&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''(((((('''''')))((('''&&&%%%&&&&&&'''((((((((('''&&&&&&&&&%%%'''''''''''''''''''''''''''''''''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%$$$%%%&&&'''%%%%%%&&&'''((((((((('''%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''(((((('''&&&&&&&&&&&&''''''''''''''''''$$$$$$%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&'''((()))%%%%%%&&&'''((((((''''''###$$$$$$%%%%%%&&&&&&'''%%%$$$$$$$$$%%%%%%&&&'''$$$$$$$$$%%%%%%&&&&&&&&&)))((('''%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%(((((('''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&(((((('''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((('''&&&&&&%%%%%%&&&&&&''''''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''((((((''''''&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$(((((()))******+++,,,,,,++++++,,,...///000111111333333444555666777777888999999::::::;;;<<<==================>>>>>>>>>>>><<<===>>>===<<<;;;<<<>>>========================;;;;;;<<<<<<===>>>>>>???AAA???======>>>??????>>>>>>>>>======<<<<<<<<<;;;<<<===<<<;;;999888999;;;;;;::::::999999999::::::999:::;;;<<<=========<<<;;;;;;<<<<<<;;;888555444888888888888777666555444999:::<<<===>>>>>>======;;;999777666666666555444888888888777888888999999888888888888888888888888999888777666444333111111000...------......---+++++++++******))))))((((((******)))(((''''''&&&&&&(((((((((((())))))))))))(((((())))))((('''&&&&&&)))((('''&&&&&&'''((()))+++***(((&&&%%%%%%%%%%%%((((((((((((((((((((((((%%%%%%&&&&&&'''((())))))'''(((((((((((((((''''''&&&%%%%%%&&&((('''%%%###(((((())))))))))))((((((''''''(((((((((((('''''')))((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%$$$###$$$%%%&&&'''''''''&&&%%%&&&'''((())))))))))))((('''%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((()))((('''&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''''''''''''''))))))((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&'''%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))))))))((((((''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''%%%&&&&&&'''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%(((''''''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''''''''&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((''''''&&&&&&&&&&&&''''''(((''''''&&&%%%%%%&&&&&&''''''''''''''''''''''''(((((('''''''''''''''(((''''''((((((((((((''''''++++++,,,,,,---...//////000111222333444555666666777777777888888999999:::::::::;;;;;;<<<<<<============>>>>>>>>>>>>??????<<<===>>>>>>======>>>@@@<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;<<<<<<=========???===;;;;;;<<<<<<;;;:::============<<<<<<<<<;;;;;;<<<===<<<:::::::::<<<;;;::::::::::::;;;;;;;;;;;;;;;<<<===>>>?????????AAAAAAAAAAAA???===;;;:::::::::;;;;;;;;;;;;::::::===>>>AAACCCDDDDDDCCCBBB???===:::888888888777666777666666555555666666777777777888888888888888888<<<<<<;;;:::999777777666333222000111222222000///...------,,,+++******)))******))))))))))))))))))+++*********))))))(((((((((((())))))(((''''''&&&)))((('''&&&&&&'''((())))))((('''&&&%%%&&&''''''((((((((((((((((((((((((%%%%%%&&&&&&'''(((((()))''''''(((((((((((('''''''''&&&'''((())))))'''%%%''''''((((((((((((''''''''''''((((((((((((''''''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&'''((((((((('''''''''((()))***%%%%%%&&&'''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&''''''''')))(((''''''&&&&&&''''''''''''''''''''''''((((((((((((((((((((((((((((((******)))((('''&&&%%%%%%'''''''''''''''''''''''''''&&&&&&%%%&&&&&&'''''''''&&&%%%$$$$$$$$$%%%&&&''''''''''''''''''''''''((('''&&&%%%&&&&&&'''(((++++++***)))((('''&&&&&&(((((((((''''''&&&&&&%%%$$$%%%&&&'''''''''&&&%%%%%%&&&''''''((('''''''''''''''&&&%%%%%%$$$######&&&&&&%%%$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$######%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%'''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$######%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%"""######$$$&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$"""###$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((''''''&&&&&&&&&&&&'''''')))(((''''''''''''''''''((((((((((((((('''''''''((('''''''''''''''((()))((()))***++++++,,,,,,+++//////000111222333444444777777888999::::::;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<=========>>>>>>>>>??????<<<>>>??????>>>>>>???AAA<<<<<<<<<;;;;;;:::::::::<<<<<<<<<<<<<<<<<<<<<======<<<::::::;;;;;;:::999<<<<<<<<<<<<;;;;;;;;;;;;:::;;;======<<<<<<<<<===<<<<<<===>>>>>>>>>>>>>>>>>>>>>???@@@AAACCCCCCDDDHHHHHHFFFEEECCCBBBBBBBBB??????@@@@@@@@@AAAAAAAAABBBDDDHHHKKKLLLLLLKKKJJJFFFBBB>>><<<;;;;;;:::999777666666555555666666666777777777777888888999999::::::999888888777666666666555444444555666444333111111000///...---,,,+++*********+++++++++,,,,,,---,,,+++***)))(((((('''(((((()))))))))(((''''''((((((''''''''''''((((((&&&&&&&&&&&&&&&'''((()))((((((((((((((((((((((((%%%%%%&&&&&&'''(((((((((''''''((((((((((((((('''''''''((()))+++,,,***(((&&&&&&''''''''''''&&&&&&''''''((((((((((((''''''(((((('''&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((())))))(((((((((((()))******$$$%%%&&&'''((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&((((((''''''''''''''''''&&&&&&''''''(((((())))))))))))))))))))))))))))))))))))((((((''''''&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&''''''''')))(((&&&$$$$$$$$$&&&'''((((((((((((((((((((((((((('''&&&$$$%%%&&&(((******))))))(((((('''''''''''''''&&&%%%$$$$$$#########$$$&&&(((((('''%%%$$$&&&&&&'''''''''''''''&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$ !!!$$$&&&'''&&&%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%######$$$%%%%%%&&&''''''''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((&&&&&&%%%%%%%%%%%%&&&&&&((((((''''''&&&''''''((((((((((((((('''''''''''''''''''''''''''((())))))+++,,,---...000000000111333444555666777888888999:::;;;;;;;;;<<<=========>>>>>>======<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;:::;;;;;;<<<<<<======>>>>>>>>>???@@@???===<<<===>>><<<<<<<<<;;;;;;;;;::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;:::999:::<<<======<<<;;;;;;;;;;;;;;;;;;;;;;;;:::<<<>>>??????>>>???@@@???AAACCCDDDEEEFFFEEEEEECCCCCCDDDEEEFFFHHHIIIJJJNNNLLLJJJHHHFFFFFFGGGGGGGGGGGGFFFFFFEEEEEEEEEEEEGGGJJJNNNRRRTTTTTTSSSRRRLLLHHHDDD@@@??????>>>===::::::999888888888999999777777777888888888999999777777777666666555555555777666555555777777666555444333222111000///...------,,,,,,,,,,,,,,,,,,,,,+++++++++***)))((((((((((((((()))))))))(((((('''(((((((((''''''(((((((((&&&&&&&&&&&&''''''((((((((((((((((((((((((((((((&&&&&&&&&'''''''''((((((&&&'''(((((((((((((((((('''''''''))),,,,,,+++)))&&&''''''((((((''''''&&&''''''((((((((((((''''''(((''''''&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&''''''(((((((((((((((((()))))))))&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&''''''((((((((((((((((((&&&''''''(((((()))))))))))))))))))))))))))))))))&&&&&&''''''(((((())))))((((((((((((((((((((((((&&&&&&&&&''''''(((((((((+++***'''&&&%%%&&&'''(((((((((((((((((((((((((((((('''%%%$$$%%%&&&)))***&&&&&&&&&''''''(((((((((''''''&&&%%%$$$$$$#########$$$&&&(((((('''&&&%%%&&&'''''''''''''''&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$!!!###&&&'''&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((%%%%%%$$$$$$$$$$$$%%%%%%'''&&&&&&&&&&&&&&&''''''(((((((((''''''''''''''''''''''''((()))***+++,,,...///111222444555555555777888888999::::::;;;;;;::::::;;;;;;;;;;;;;;;;;;======<<<<<<;;;;;;:::::::::999999999999999999999999999::::::;;;<<<======???@@@@@@>>>;;;:::::::::::::::::::::::::::::::::999999999999:::::::::::::::999999:::>>>@@@AAAAAA===========================???BBBBBBBBBBBBCCCDDDFFFIIILLLOOOPPPQQQPPPOOOLLLLLLLLLMMMNNNOOOQQQRRRUUUSSSPPPNNNLLLMMMNNNNNNQQQPPPNNNLLLJJJIIIIIIHHHLLLNNNRRRVVVXXXYYYXXXXXXRRRNNNJJJGGGEEEEEECCCBBB>>>===<<<<<<;;;;;;;;;<<<:::::::::::::::::::::::::::999999999888888777777666555444555666777666555555444444333111000000///000000///...---,,,+++***))))))))))))))))))))))))(((((()))))))))))))))((('''((((((((((((((((((''''''''''''''''''&&&&&&&&&((((((((((((((((((((((((&&&&&&&&&'''''''''''''''&&&&&&'''(((((((((((((((%%%%%%&&&(((***+++***(((((((((((())))))(((((((((''''''((((((((((((''''''''''''&&&&&&&&&''''''((((((((((((((((((((((((((($$$$$$%%%%%%&&&&&&&&&&&&&&&&&&'''''''''(((((((((&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&''''''((()))))))))(((((((((((((((((((((((())))))((((((((((((((((((((((((%%%%%%&&&'''((()))******''''''''''''''''''''''''%%%&&&'''(((((((((((((((***)))((('''''''''((()))((((((((((((((((((((((((&&&&&&%%%%%%&&&''')))***$$$$$$%%%&&&'''((())))))(((((((((''''''&&&&&&%%%%%%&&&'''((((((((('''&&&'''''''''(((''''''&&&%%%######$$$%%%%%%&&&''''''%%%$$$$$$$$$%%%%%%&&&'''&&&%%%%%%%%%%%%%%%%%%$$$!!!"""$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%$$$######$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&&&&'''((((((((((((((()))))))))************+++,,,...///000333333555666888888999999::::::::::::::::::::::::999999999999999999888888;;;:::::::::999999888888888888888888888888888888888999999:::;;;<<<======???@@@@@@>>>;;;999999999999999::::::;;;<<<<<<<<<;;;;;;<<<<<<===>>>>>>>>>=========???CCCEEEGGGGGGDDDDDDDDDDDDDDDEEEEEEEEEFFFGGGHHHGGGGGGGGGJJJLLLPPPSSSWWW[[[^^^^^^\\\[[[YYYXXXXXXWWWXXXZZZ[[[\\\^^^]]]ZZZXXXVVVVVVWWWXXXYYYWWWTTTQQQOOONNNMMMMMMQQQRRRUUUXXXZZZ[[[\\\\\\WWWUUUQQQOOONNNLLLJJJHHHCCCBBBAAA@@@@@@@@@@@@@@@@@@@@@??????>>>=========;;;::::::999888777777777666555444555666777666555666666555444444333333333444333222111///---,,,+++)))))))))*********++++++(((((()))*********))))))''''''((((((((((((''''''''''''(((((('''&&&%%%%%%((((((((((((((((((((((((''''''''''''''''''''''''%%%&&&'''((())))))))))))%%%%%%&&&''')))***(((&&&(((((())))))))))))((((((''''''(((((((((((('''''''''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((###$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&'''((('''''''''$$$%%%&&&'''((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&'''((()))***))))))((()))))))))(((((((((((((((''''''''''''''''''''''''&&&&&&''''''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''((()))))))))((('''''''''(((((((((((((((''''''''''''''''''''''''%%%%%%&&&&&&'''(((((()))&&&&&&''''''(((((())))))'''''''''''''''''''''''''''''''''((((((((())))))''''''(((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$%%%&&&'''((($$$%%%%%%%%%%%%%%%%%%&&&$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%&&&''''''(((%%%%%%%%%$$$$$$$$$##################$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&#########$$$$$$$$$%%%%%%&&&%%%%%%%%%$$$#########%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((('''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&'''(((((()))((()))******+++,,,------......///000111333555666666777888999:::;;;;;;;;;<<<<<<;;;::::::999999888999999999888888888777777888888888888888777777777777777888888999999::::::999:::;;;<<<===>>>>>>???>>>??????>>><<<;;;<<<======>>>???@@@AAACCCDDDDDDDDDEEEFFFGGGHHHJJJKKKKKKIIIHHHHHHIIILLLNNNOOOOOONNNNNNNNNOOOOOOOOOPPPPPPOOOOOOOOOMMMLLLNNNQQQTTTYYY]]]bbbgggiiiiiihhhffffffeeedddccccccdddfffgggeeedddbbb```^^^^^^^^^^^^^^^\\\YYYWWWUUUTTTTTTTTTVVVVVVWWWYYY[[[]]]^^^___\\\[[[YYYXXXWWWUUUQQQOOOKKKKKKJJJHHHHHHGGGGGGHHHHHHHHHGGGEEEDDDCCCBBBAAA>>>===<<<;;;:::999888777888666666777888999999888777777777777777777777777666666555444222111000000,,,,,,,,,,,,,,,,,,++++++(((((()))***************&&&'''((())))))((('''&&&%%%&&&'''((((((((('''&&&((((((((((((((((((((((((''''''''''''''''''''''''%%%&&&'''((())))))))))))&&&&&&&&&((())))))'''%%%'''(((((((((((((((((('''''''''((((((((((((''''''&&&&&&&&&&&&&&&'''((((((''''''''''''''''''''''''$$$$$$&&&'''''''''&&&%%%%%%&&&'''((()))(((((('''%%%%%%&&&'''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''&&&'''(((*********)))(((******))))))((((((''''''''''''''''''''''''''''''((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''))))))))))))(((%%%%%%&&&'''((((((((('''''''''''''''''''''''''''$$$%%%&&&'''(((((((((((())))))))))))(((((((((((($$$$$$%%%%%%%%%%%%%%%%%%)))(((((((((((()))******'''((((((((('''&&&%%%%%%'''&&&&&&%%%%%%$$$$$$###""""""###$$$%%%'''((()))$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&'''(((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$$$$$$$$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%&&&'''((((((#########""""""""""""!!!############$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%""""""#########$$$$$$$$$&&&&&&%%%%%%$$$###""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%######$$$%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((((((((''''''''''''((((((((((((((((((((()))************+++,,,...///000000222222222444555777999:::999999:::;;;<<<<<<<<<<<<===<<<;;;:::999888777777:::::::::999888888777777777777777777777777777777777777888999::::::;;;;;;;;;;;;<<<===>>>???@@@AAA<<<>>>??????>>>>>>???@@@CCCDDDEEEGGGIIIJJJLLLLLLOOOPPPQQQRRRTTTVVVWWWXXXVVVTTTSSSTTTUUUWWWWWWVVVUUUVVVVVVVVVWWWWWWXXXXXXVVVVVVTTTRRRQQQRRRVVVZZZ___ccchhhnnnqqqpppooommmooonnnllljjjjjjkkklllmmmgggfffeeecccbbbaaa``````aaa___\\\ZZZXXXXXXYYYZZZYYYYYYYYYYYY[[[]]]```aaa___^^^^^^^^^]]][[[VVVSSSSSSRRRQQQPPPOOOOOOOOOOOONNNMMMLLLJJJHHHGGGEEEEEEEEEEEEDDDBBBAAA???>>>===:::999888999;;;<<<;;;:::888888999999999:::::::::777777666666555555555444000000///...---,,,,,,+++(((((()))***************&&&'''((())))))((('''&&&###$$$&&&((()))))))))((((((((((((((((((((((((((('''''''''''''''''''''&&&%%%&&&'''((())))))))))))(((''''''((())))))'''%%%&&&''''''''''''''''''&&&''''''((((((((((((''''''&&&&&&&&&&&&&&&'''((()))%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''((((((((('''&&&&&&''')))*********)))((()))))))))((('''%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((())))))******++++++(((((((((((())))))))))))''''''(((((())))))******%%%%%%&&&&&&'''((())))))(((((('''''''''&&&&&&&&&''''''(((((('''&&&%%%%%%###$$$&&&((()))***++++++''''''''''''''''''''''''******)))'''&&&%%%$$$###%%%%%%&&&&&&&&&&&&%%%%%%&&&''')))******(((&&&%%%((()))***(((''''''(((***(((((('''''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$###&&&&&&&&&%%%%%%$$$$$$$$$''''''&&&&&&&&&&&&'''''''''&&&&&&%%%$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%$$$######''''''''''''''''''''''''$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&(((''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&((()))((('''%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%'''''''''&&&&&&%%%%%%%%%''''''''''''''''''''''''(((&&&$$$%%%(((***(((&&&(((((('''&&&%%%%%%%%%%%%(((((())))))))))))))))))''''''((()))***++++++,,,---...///000222333444444666777777777888888888888888888999;;;<<<===;;;:::;;;;;;;;;999888888:::<<<;;;:::999999999999:::::::::::::::888666555777888777999<<<===>>>@@@BBBEEEBBBDDDGGGIIIJJJJJJIIIHHHFFFEEEDDDCCCEEEHHHKKKMMMNNNNNNOOOQQQRRRUUUVVVWWW^^^```cccfffhhhiiihhhhhhhhhfffddddddfffhhhjjjjjjeeeddddddeeeggggggeeedddfffccc___\\\\\\___cccfffhhhiiilllnnnppprrrssssssrrrrrrrrrpppmmmmmmnnnpppmmmmmmmmmkkkgggeeeeeefffdddcccaaa___^^^]]]]]]^^^___^^^\\\]]]```cccdddddddddddddddccc```]]][[[YYYZZZXXXWWWWWWYYYZZZYYYYYYYYYVVVRRROOONNNNNNMMMLLLLLLJJJHHHEEECCCBBBAAAAAACCCDDDDDDDDDDDDCCCCCCBBBBBB@@@===:::888777777888777777666555555555666666444333222111000///...---,,,,,,++++++++++++++++++)))))))))***************))))))))))))((((((((((((((((((''''''''''''((((((((((((((((((((()))***+++''''''''''''((((((((()))'''''''''''''''((())))))))))))(((((('''''''''&&&((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&''''''))))))(((((('''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%(((((((((((('''&&&%%%$$$(((((((((((((((((((((((()))((('''&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&((()))))))))))))))******(((((((((((())))))))))))((((((((((((''''''''''''%%%%%%&&&''''''(((((()))(((((('''''''''&&&&&&&&&(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&***))))))((('''&&&%%%%%%&&&&&&''''''''''''&&&&&&&&&'''((())))))((('''&&&,,,,,,,,,)))'''%%%&&&''''''''''''&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$###&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&###$$$%%%&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''%%%%%%$$$%%%%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&%%%%%%%%%'''''''''''''''''''''''''''%%%$$$%%%((()))(((&&&)))((('''&&&&&&%%%%%%&&&))))))(((((((((((((((((())))))***+++,,,---...///333333444555666777888888888888888888999999999999:::::::::<<<===<<<;;;:::777888888777555666888::::::::::::;;;;;;<<<<<<<<<<<<<<<<<<;;;::::::<<<>>>===???BBBDDDDDDFFFHHHJJJKKKMMMPPPRRRSSSSSSQQQPPPPPPOOONNNMMMOOORRRUUUWWWZZZ[[[]]]___bbbeeehhhjjjmmmnnnqqqsssttttttssssssrrrpppnnnooorrrtttvvvvvvqqqpppnnnmmmmmmmmmkkkjjjjjjhhheeebbbbbbeeehhhjjjlllmmmnnnpppqqqrrrrrrrrrrrrssssssqqqooooooqqqsssqqqrrrsssrrrooommmlllllljjjiiigggeeedddddddddeeefffdddbbbccceeeggggggggggggggggggeeedddbbb```___]]]\\\\\\^^^aaacccdddddd```]]]XXXVVVUUUTTTSSSRRRSSSQQQNNNKKKIIIHHHGGGGGGKKKLLLLLLLLLKKKJJJIIIIIIFFFDDDBBB???===;;;;;;:::999888777777666777777777555555444333222111000000......------,,,,,,,,,+++)))))))))))))))*********++++++******)))(((((('''((((((''''''''''''((((((''''''&&&&&&&&&'''((((((&&&&&&&&&''''''''''''((('''''''''''''''((()))))))))(((((((((''''''''''''((((((((((((((((((((((((%%%%%%&&&&&&&&&'''''''''((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&%%%$$$###(((((((((((((((((((((((('''&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''''''''&&&))))))))))))(((((((((((((((((((((((())))))))))))))))))(((''''''&&&%%%%%%&&&&&&&&&''''''(((((()))(((((((((''''''''''''&&&((((((((('''''''''&&&&&&(((((('''&&&&&&&&&'''((((((((('''''''''&&&&&&&&&)))))))))((((((''''''''''''''''''((((((''''''''''''''''''''''''''''''''',,,,,,,,,***'''&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!###%%%'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%######%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%'''&&&&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''&&&%%%$$$%%%'''((('''&&&))))))'''&&&&&&&&&&&&&&&((((((((((((((((((((((((,,,,,,---///000222333333888888888999999999::::::888999999999999:::::::::888888888999888777777666555666666666555666888;;;999;;;>>>@@@BBBBBBBBBBBBAAAAAABBBAAAAAABBBEEEGGGFFFIIILLLNNNOOOPPPRRRTTTWWWYYY[[[]]]^^^^^^]]]\\\]]]\\\ZZZZZZ[[[^^^bbbdddeeeeeegggjjjnnnrrrvvvxxx|||}}}~~~~~~}}}{{{yyyyyyzzz~~~~~~{{{wwwtttrrrqqqooommmmmmllljjjiiiiiijjjlllmmmnnnooooooppppppqqqqqqqqqrrrsssssssssrrrrrrtttvvvuuuxxxzzz{{{xxxvvvttttttrrrrrrqqqpppppppppppppppnnnllljjjjjjkkklllmmmlllkkkjjjiiigggeeeddddddddd```___```ccchhhlllnnnnnngggdddaaa^^^]]]\\\[[[YYYZZZYYYVVVSSSQQQPPPPPPPPPTTTTTTTTTSSSRRRQQQPPPOOOKKKJJJIIIGGGDDDBBB???>>>;;;:::999999888888888999888777777666555444333333111111000///......------************)))))))))))),,,++++++***)))((((((''')))((((((''''''(((((()))(((((('''&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''(((''''''''''''(((((()))((((((((((((''''''''''''((((((((((((((((((((((((%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&%%%$$$###((((((((((((((((((((((((%%%%%%$$$$$$$$$%%%&&&&&&''''''''''''''''''''''''***))))))(((((('''''''''(((((((((((())))))))))))))))))((((((((('''''''''&&&&&&''''''((((((((()))((((((((('''''''''''''''&&&&&&&&&&&&%%%&&&&&&&&&)))(((''''''(((***---///((((((((('''&&&&&&%%%%%%((((((((()))))))))))))))''''''((((((((((((''''''''''''&&&&&&&&&'''((((((((()))***)))(((((()))+++&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%"""$$$&&&'''&&&$$$!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%&&&''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&%%%$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%&&&'''&&&&&&(((((('''&&&&&&%%%&&&&&&&&&''''''((()))***++++++///000111333444666777888999999999888888888888888888888888999999999::::::777888888888666555444555555666777777777999<<<>>>===@@@EEEIIILLLMMMLLLLLLJJJJJJKKKJJJJJJJJJMMMOOOOOORRRVVVYYY[[[\\\^^^```cccdddfffhhhiiiiiihhhggggggfffeeeeeegggjjjmmmooonnnooooooqqquuuxxx|||~~~}}}||||||~~~xxxssspppnnnkkkjjjkkkkkkkkkllllllkkkkkkkkkkkkkkkkkkllllllmmmnnnnnnppprrrssssssssstttvvvwwwwwwzzz}}}{{{zzz||||||{{{{{{{{{|||||||||wwwuuurrrrrrrrrssssssrrrpppnnnkkkhhhfffeeeeeeeee``````aaadddiiimmmooooookkkhhheeecccbbbaaa___]]]]]][[[XXXVVVUUUVVVWWWXXXXXXXXXXXXWWWUUUTTTRRRQQQPPPPPPOOONNNKKKHHHDDDBBB======<<<;;;:::::::::;;;::::::999888777666666555555555444333222000000///,,,,,,++++++*********))))))))))))))))))((((((((())))))(((((((((((())))))++++++***)))((((((((()))&&&&&&&&&'''''''''((((((((((((''''''''''''((()))((((((((((((((('''''''''((((((((((((((((((((((((&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&'''''''''&&&&&&%%%$$$((((((((((((((((((((((((%%%$$$$$$$$$%%%&&&'''''''''''''''&&&&&&'''''''''******))))))((((((''''''(((((((((((())))))))))))(((((()))))))))*********'''''''''((((((((((((((((((((((((((((((((((((((((((((('''&&&''''''((())))))(((''''''(((***,,,...(((((('''''''''&&&&&&&&&(((((((((((())))))))))))''''''((((((((((((''''''&&&&&&&&&&&&&&&'''((()))'''((()))((('''''')))+++&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&$$$%%%'''((('''%%%""" %%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&'''''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''%%%###$$$%%%'''&&&%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&'''(((&&&'''(((***,,,...000111333333444666777999::::::999999999888888888888888777777777777888888888999999;;;;;;999666555666777666777888999:::<<<@@@BBBEEEIIIOOOTTTXXXYYYYYYXXXVVVVVVVVVUUUTTTTTTVVVXXXYYY\\\aaadddfffgggiiijjjnnnooopppqqqrrrrrrqqqqqqooooooppprrrtttvvvxxxyyy|||{{{zzzyyyzzz|||~~~~~~}}}|||{{{{{{{{{zzzzzz}}}~~~zzztttooollliiigggeeefffggghhhiiiiiihhhgggfffdddddddddeeefffhhhjjjkkkmmmnnnqqqrrrrrrrrrtttvvvxxx|||}}}{{{zzz{{{||||||{{{wwwuuurrrnnnkkkiiihhhhhheeeddddddeeeiiikkklllllliiigggeeeccccccbbbaaa___[[[ZZZXXXVVVWWWYYY\\\^^^]]]]]]\\\ZZZXXXVVVTTTSSSRRRSSSSSSRRRPPPLLLHHHFFFBBBAAA@@@???>>>>>>>>>>>>>>>===<<<;;;:::888777777999888777666555444333222//////...------,,,++++++&&&''''''(((((())))))***))))))(((((((((((()))))),,,+++***)))))))))))))))(((((((((((())))))))))))((((((''''''''''''(((((('''''''''(((((((((((((((((((((((((((((((((((((((&&&&&&&&&'''''''''((((((''''''''''''''''''(((((((((((((((((((((((((((((('''((((((((((((''''''&&&((((((((((((((((((((((((&&&&&&%%%&&&&&&'''((((((((('''&&&&&&&&&&&&'''(((************))))))))))))(((((((((((())))))))))))(((((()))******+++,,,,,,(((((((((((((((((((((((('''(((((((((((()))))))))+++***)))))))))***+++,,,***)))'''&&&%%%&&&&&&'''''''''''''''''''''''''''(((((((((((((((((((((((('''''''''(((((('''''''''%%%%%%%%%&&&''''''(((((()))))))))'''%%%$$$%%%'''&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&((((((((((((&&&&&&###%%%''')))))))))((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&(((((((((''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''(((%%%"""###&&&((('''&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''%%%&&&((('''&&&&&&''')))''''''''''''(((***+++,,,)))***,,,...111333555666666666777888999::::::;;;:::::::::::::::999999999666666777777777888888888666888999666333111333666888999;;;<<<>>>AAAEEEHHHOOORRRXXX^^^ccceeeeeeeeebbbccccccaaa``````bbbdddfffiiimmmoooooooooppppppuuuuuuvvvwwwwwwwwwwwwwwwuuuwwwzzz~~~}}}zzzxxxxxxyyyyyywwwwwwvvvvvvvvvuuuuuuuuuvvvvvvvvvxxx{{{}}}}}}|||wwwtttooollljjjhhheeeccccccdddeeeffffffeeedddccc_________```aaacccfffggghhhjjjmmmnnnnnnnnnpppqqqvvvzzz~~~|||xxxuuusssqqqpppmmmkkkjjjjjjlllmmmllllllgggfffddddddeeeeeecccaaa]]][[[YYYXXXYYY\\\```bbbccccccaaa```]]]ZZZXXXWWWUUUUUUUUUUUUSSSPPPMMMKKKHHHGGGFFFEEEDDDCCCCCCCCCCCCBBBAAA???===;;;:::999;;;;;;:::999888888777777333333222111000///...---''''''(((((())))))*********))))))(((((())))))***))))))((('''''''''(((((((((((()))))))))*********)))((((((''''''''''''((('''''''''(((((((((((((((((((((((((((((((((((((((&&&&&&'''''''''((((((((('''''''''((((((((((((((((((((((((((((((((((((((((((((()))))))))(((((('''((((((((((((((((((((((((''''''&&&&&&&&&'''((((((((('''&&&%%%%%%&&&'''(((************++++++++++++(((((((((((())))))))))))))))))))))))************)))((((((((((((((((((((('''((((((((())))))))))))***)))((((((((()))+++,,,((((((''''''&&&%%%%%%$$$%%%%%%&&&&&&'''(((((((((((((((''''''''''''''''''&&&&&&''''''''''''&&&&&&###$$$%%%'''(((((('''''''''((((((&&&$$$###$$$&&&'''''''''&&&&&&&&&&&&%%%###$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%'''(((((('''%%%$$$$$$$$$%%%'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&'''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''((($$$ !!!%%%''''''%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%((())))))''''''(((***((())))))+++,,,...000111000000111333555666888888888888888999999999::::::999999999999::::::::::::777777888888888999999999555777999666222111444888>>>???BBBCCCEEEIIIMMMPPPWWWZZZ___eeeiiilllmmmnnnlllmmmmmmllllllllloooqqqtttvvvyyyyyywwwtttrrrrrrtttuuuuuuuuuuuuvvvvvvvvvvvvzzz{{{vvvrrrqqqqqqqqqmmmmmmmmmmmmmmmnnnnnnoooppppppoooqqqssssssrrrqqqooommmkkkiiiiiihhheeecccddddddeeeffffffeeedddddd```___^^^^^^___aaacccdddcccfffhhhjjjjjjjjjjjjlllooosssyyy}}}~~~~~~~~~}}}|||~~~}}}{{{zzzuuurrrpppoooppppppooommmhhhgggfffgggiiiiiihhhfffcccaaa^^^\\\]]]```ccceeehhhhhhfffdddaaa^^^[[[YYYWWWWWWWWWWWWUUUSSSQQQPPPOOONNNMMMKKKJJJJJJIIIIIIIIIHHHFFFDDDAAA>>><<<;;;<<<<<<<<<;;;;;;;;;::::::777777666444333222111000++++++++++++******))))))******))))))))))))******((((((((('''(((((())))))(((((((((((())))))))))))))))))((('''''''''''''''''''''''''''((((((((()))((((((((((((((((((((((((''''''''''''((((((((((((&&&&&&&&&''''''(((((((((''''''''''''''''''''''''''''''((((((((((((((('''((((((((((((((((((((((((''''''&&&&&&%%%%%%&&&&&&)))(((&&&%%%%%%&&&((()))*********+++,,,,,,,,,---(((((((((((())))))))))))******))))))((((((''''''))))))))))))(((((((((((('''((((((((())))))******'''&&&%%%$$$%%%&&&)))***%%%&&&'''((()))))))))((($$$%%%%%%&&&'''((())))))((((((''''''&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%"""###&&&((((((((('''&&&"""$$$%%%%%%$$$%%%''')))(((((('''''''''&&&&&&&&&###$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&###$$$&&&''''''&&&$$$###%%%%%%$$$######"""""""""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&'''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%''''''''''''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$############"""$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''"""###'''&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&(((******(((''')))+++******+++---///222444555555555666666777888888999999999999999999999999999777777777888888999999999888888999999999:::::::::<<<>>>@@@===999888<<<@@@DDDFFFHHHKKKMMMPPPUUUXXX[[[^^^ccchhhmmmpppqqqrrrqqqrrrsssssssssuuuxxx{{{~~~{{{vvvsssrrrppppppqqqqqqqqqqqqqqqqqquuuzzz|||vvvqqqoooooooooeeeeeeeeefffggghhhiiijjjkkkjjjjjjkkklllllljjjhhhiiihhhgggggghhhgggeeecccffffffggggggggggggffffffcccbbb```___^^^```aaabbb```cccfffggggggfffggghhhhhhlllqqquuuwwwxxxyyyzzz{{{|||}}}}}}}}}{{{zzzyyyxxxwwwwwwyyy|||xxxvvvsssrrrrrrrrrpppoooiiiiiiiiijjjlllmmmllljjjjjjgggdddaaa```bbbeeegggjjjiiigggeeebbb^^^\\\ZZZYYYYYYXXXXXXWWWUUUTTTSSSTTTSSSRRRPPPOOONNNNNNNNNNNNLLLJJJGGGDDDAAA???===============<<<<<<<<<<<<:::999888777555333222222000///...---+++***)))(((******))))))))))))************))))))***+++,,,,,,''''''''''''((((((((()))***)))((('''''''''''''''&&&'''''''''(((((())))))((((((((((((((((((((((((''''''''''''((((((((()))%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&'''''''''''''''&&&(((((((((((((((((((((((('''&&&&&&%%%$$$$$$$$$$$$)))(((&&&%%%%%%&&&((()))((()))***+++,,,+++***)))'''''''''''''''((()))***))))))))))))))))))))))))***)))(((''''''((()))***))))))))))))))))))))))))+++***)))((((((''''''((())))))(((((('''''''''&&&((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&((((((((((((''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&)))))))))((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&%%%$$$$$$%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&&&&'''''''''&&&%%%%%%%%%&&&&&&&&&&&&%%%$$$###&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((()))))))))$$$%%%&&&&&&&&&%%%$$$###'''&&&&&&%%%%%%$$$$$$######!!! """&&&((('''%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$#########$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$$$$%%%&&&&&&'''###$$$%%%%%%&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&'''''''''''''''&&&&&&%%%%%%%%%&&&'''((('''&&&''')))+++,,,,,,...000222444666777999999:::::::::;;;;;;;;;::::::::::::999999999999777888999999888777888999666777888888777888999;;;;;;===???@@@AAACCCFFFIIINNNPPPRRRRRRSSSUUUWWWZZZaaaeeejjjmmmooosssxxx|||yyy|||~~~~~~}}}}}}yyyrrrmmmjjjllljjjgggeeeeeefffiiikkkrrrvvv~~~{{{tttnnnjjjgggeeecccdddcccbbbbbbccceeeggghhhgggfffdddcccccccccdddddd___```bbbdddeeegggggghhhhhhiiikkklllllljjjhhhgggjjjhhhdddaaa```aaacccdddaaabbbcccddddddcccbbbaaadddfffjjjnnnrrrtttttttttyyyxxxxxxwwwwwwvvvvvvuuuuuuuuutttttttttvvvwwwxxxyyy{{{zzzzzzyyyvvvrrrppppppqqqlllmmmppprrrtttuuuvvvvvvtttpppkkkgggfffhhhlllooorrrnnniiidddaaa___\\\ZZZYYYYYYXXXWWWWWWWWWWWWWWW[[[ZZZXXXWWWVVVSSSPPPMMMOOOMMMKKKJJJIIIGGGDDDAAA@@@>>><<<:::::::::888777888888999999888666444333////////////...---,,,+++******)))((((((((((((((((((((((((((('''&&&%%%$$$''''''(((((())))))******)))(((((('''&&&&&&%%%%%%''''''((()))***)))&&&$$$%%%&&&''''''((((((''''''((((((''''''''''''((((((&&&%%%%%%$$$%%%&&&'''(((''''''((()))))))))))))))''''''''''''''''''''''''%%%&&&&&&&&&'''((((((((())))))******+++++++++,,,''''''&&&&&&&&&&&&'''''',,,,,,,,,---,,,++++++***(((((((((((())))))***+++***************************)))(((((((((((()))***))))))))))))))))))))))))((((((((('''(((((())))))))))))((((((((('''''''''))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&((((((((((((''''''''''''%%%%%%%%%%%%&&&&&&&&&'''((((((''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%%%%''''''((((((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%)))'''%%%&&&(((((('''$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$######$$$%%%%%%&&&%%%&&&''''''((((((''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&))))))((((((((('''''''''$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''(((((('''&&&&&&&&&&&&'''((((((((((((((((((''''''''''''''')))******)))***,,,...000000111333555666888888999999999999::::::::::::888888888888888888999999777888999888777666777999777999:::::::::;;;>>>AAADDDFFFHHHHHHIIIJJJMMMOOOUUUWWWYYY[[[\\\^^^aaadddiiimmmqqqtttvvvxxx|||~~~xxxqqqjjjgggdddcccaaa___```bbbeeegggmmmqqqxxx|||yyyuuuoookkkiiigggeeeddddddbbbaaa______```aaabbbcccbbbaaa````````````aaa```aaabbbddddddeeeeeeeeeggghhhjjjlllmmmllllllkkkjjjhhheeecccaaaaaabbbccc^^^___aaabbbbbbbbbaaa```bbbeeeiiinnnrrrtttvvvvvvxxxxxxwwwvvvtttsssrrrrrrqqqqqqpppoooooopppqqqqqqsssuuuzzz}}}~~~|||zzzwwwxxxxxxvvvtttrrrrrrrrrtttuuuvvvwwwyyy{{{|||}}}}}}zzzuuuqqqppprrruuuxxxuuurrrmmmiiieeeaaa]]]YYYXXXWWWWWWWWWXXXYYY[[[\\\bbbaaa```___^^^[[[WWWTTTSSSRRRPPPPPPOOOMMMJJJGGGDDDBBB???>>>===<<<:::888999999::::::999888777666444444333222111///---,,,,,,+++***)))(((((((((((())))))))))))(((((('''&&&''''''''''''((((((((((((%%%%%%&&&''''''(((((()))((((((((()))******'''$$$%%%&&&''''''((((((''''''((((((''''''''''''((((((&&&&&&%%%%%%%%%&&&'''((('''(((((()))))))))(((((())))))((('''&&&%%%%%%$$$&&&&&&''''''''''''''''''&&&&&&&&&'''''''''((((((''''''&&&&&&&&&&&&''''''//////......---,,,,,,,,,*********)))******++++++***************************))))))(((((())))))***))))))))))))))))))))))))&&&&&&&&&''''''(((******))))))((((((((((((''''''************************((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&(((((((((''''''''''''&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%$$$$$$#########%%%&&&'''&&&&&&%%%$$$$$$%%%&&&'''$$$%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$######''''''((((((''''''&&&%%%######$$$%%%%%%&&&''''''&&&%%%$$$$$$%%%%%%$$$"""$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%&&&''''''((((((''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&'''''''''(((((('''''''''&&&'''(((((())))))))))))))))))************,,,............000222555555666777888999999:::888888888999999999999:::888888888888888888999999666777888888666666777888888:::<<<>>>???CCCGGGJJJPPPQQQSSSSSSSSSTTTWWWYYY]]]___bbbdddfffiiilllnnnqqqtttxxxzzz{{{|||~~~|||tttllleeeaaa^^^]]]\\\[[[\\\___bbbdddgggiiiooouuuyyyyyyvvvsssqqqmmmiiiffffffeeeeeedddbbbaaa^^^\\\ZZZZZZ[[[[[[^^^]]]]]]\\\\\\\\\\\\]]]``````aaabbbbbbbbbaaaaaaccceeegggiiikkkkkkkkkkkkiiihhhfffdddbbb`````````[[[\\\^^^```aaaaaa`````````cccggglllqqqtttvvvwwwuuutttsssrrrpppnnnmmmmmmllllllkkkiiiiiiiiiiiiiiikkknnnsssxxxyyyxxxvvvtttsssuuuxxxxxxwwwuuuuuuuuu{{{{{{zzzzzz{{{}}}}}}zzzyyy{{{~~~zzzxxxuuurrrnnnggg```[[[WWWWWWVVVWWWXXX[[[^^^___aaaaaaaaaaaaaaa^^^YYYVVVVVVUUUUUUUUUUUUSSSOOOLLLJJJGGGDDDBBBAAA???<<<:::999::::::;;;;;;:::999999;;;:::999777444111///......---,,,***)))(((''''''))))))************)))((((((''''''''''''''''''&&&%%%&&&&&&''''''((()))))))))))))))***+++***(((&&&&&&&&&'''(((((((((((('''((((((''''''''''''((((((&&&&&&&&&%%%&&&&&&'''((((((((()))))))))(((((('''((((((((('''''''''&&&&&&((((((''''''''''''''''''$$$%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&''''''000000//////.........///,,,++++++*********++++++************************))))))))))))))))))))))))((((((((((((((((((((((((''''''&&&&&&'''((())))))))))))((((((((((((((((((************************(((((((((((((((((((((((('''(((((((((((((((((('''(((((('''''''''&&&&&&&&&'''''''''((((((((((((((($$$%%%%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$#########%%%((())))))(((%%%$$$###$$$&&&'''$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&!!!!!!!!!"""###$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&&&&&&&''''''###$$$%%%%%%&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''&&&&&&&&&&&&'''(((((()))))))))***++++++,,,,,,...000222333333333555666888999999999999:::::::::777777888888888999999999::::::999888888888999999666777888888777777999:::;;;===AAADDDHHHMMMSSSWWWYYY[[[\\\]]]]]]^^^aaacccdddgggjjjlllmmmoooqqqsssuuuvvvyyyzzz{{{zzzzzzyyyxxxyyyyyyzzz{{{}}}|||uuummmfff```]]]^^^]]]\\\[[[\\\^^^aaabbbbbbcccgggkkknnnooommmkkkjjjgggdddbbbbbbbbbbbbaaa```^^^[[[XXXWWWWWWWWWXXXZZZZZZYYYYYYYYYYYYYYYYYY[[[\\\]]]^^^^^^^^^^^^^^^___```aaacccddddddeeedddddddddcccbbb```^^^\\\[[[YYYZZZ\\\___```aaaaaa``````bbbfffiiimmmpppqqqrrrmmmmmmllllllkkkjjjiiiiiijjjiiihhhgggfffeeeddddddeeeiiinnnsssuuutttqqqoooqqqtttyyy{{{{{{yyyxxxxxx|||zzzxxxwwwwwwzzz}}}~~~|||{{{|||~~~|||xxxppphhhbbb]]][[[ZZZXXXYYYZZZ\\\^^^\\\]]]^^^``````___[[[WWWVVVVVVVVVWWWXXXVVVRRROOOOOOLLLIIIGGGEEEBBB???<<<::::::::::::::::::::::::======<<<:::777555222111111000...,,,***)))((((((((()))***************))))))))))))((('''''''''&&&))))))(((((('''&&&&&&&&&******)))***++++++)))'''&&&&&&'''(((((((((((((((((((((''''''''''''(((((('''&&&&&&&&&&&&'''''''''((((((((()))(((((('''&&&$$$$$$%%%'''(((***++++++))))))((((((''''''&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''333333333333222222222222------,,,+++*********+++************************))))))************))))))(((((((((((((((((((((((())))))((('''''''''''''''(((((())))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((())))))************))))))''''''''''''&&&&&&&&&&&&(((((((((((((((((((((((($$$%%%%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&%%%%%%%%%&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$$$$%%%''')))+++,,,***'''%%%######$$$%%%$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&))))))((((((''''''&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''(((((()))***+++,,,......///111333666777777777888999::::::999999999999999999777777888888888999999999:::999888666666666777888888:::<<<===<<<===???AAAAAAEEEJJJOOOTTTZZZ___ccccccdddeeeffffffgggjjjlllkkkmmmpppqqqrrrrrrsssuuuvvvvvvvvvvvvvvvuuutttrrrnnnnnnmmmnnnppprrrtttuuuwwwuuurrrmmmhhhddd```___aaa```^^^]]]]]]^^^___```aaaaaabbbdddggghhhgggffffffdddaaa_________^^^\\\\\\ZZZXXXVVVUUUUUUVVVWWWWWWWWWXXXXXXXXXXXXXXXXXXUUUVVVWWWYYYZZZ[[[\\\\\\]]]]]]]]]]]]]]]]]]]]]\\\\\\\\\\\\\\\[[[YYYXXXWWWXXXZZZ\\\^^^```aaaaaaaaaaaabbbccceeeggghhhiiiiiicccddddddddddddeeeeeeeeehhhhhhhhhgggfffeeedddccccccfffkkkpppqqqpppnnnlllooosssxxx{{{|||{{{zzzzzzxxxvvvsssqqqrrrtttxxxzzzxxxxxxxxxxxxzzz~~~yyyrrrlllgggeeebbb___\\\[[[[[[\\\[[[\\\]]]```bbbbbb___]]]XXXXXXXXXYYYYYYXXXUUURRRRRRPPPNNNLLLJJJGGGCCC@@@===<<<<<<;;;::::::::::::<<<<<<;;;:::999777666555444333111...,,,+++******(((((()))*********))))))+++*********)))(((((((((***))))))(((''''''&&&&&&+++***))))))******)))'''&&&'''(((((())))))((((((((((((''''''''''''(((((('''''''''''''''''''''&&&''''''((((((((((((''''''$$$$$$%%%''')))***+++,,,)))))))))((((((''''''&&&((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''<<<<<<<<<<<<;;;999777555000///...---,,,+++++++++++++++++++++++++++++++++)))******++++++******)))))))))))))))))))))))))))+++***)))(((((('''''''''(((((())))))))))))******''''''''''''''''''''''''(((((((((((((((((((((((())))))************))))))'''''''''&&&&&&&&&&&&%%%((((((((((((((('''''''''&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&'''((()))%%%%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&((()))***+++***(((&&&$$$$$$$$$$$$$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%)))((('''&&&&&&&&&&&&'''''''''&&&%%%%%%$$$######%%%&&&'''%%%###!!!"""###&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$###"""""""""######%%%&&&''''''((((((''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&'''''''''((((((''''''&&&&&&''''''((())))))***+++---///111222333444666999:::999888888999999999999999999999999999888888888999999999999:::999777666555555777999:::???AAACCCEEEFFFGGGJJJLLLOOOTTTZZZ___cccfffjjjlllkkklllmmmlllkkkkkkmmmnnnmmmppprrrtttssssssttttttuuusssqqqpppppppppnnnlllgggeeeccccccfffhhhjjjjjjkkkjjjiiigggeeedddddddddbbbaaa___^^^^^^^^^______cccaaa___```bbbddddddddddddbbb___^^^^^^]]][[[ZZZXXXWWWUUUSSSSSSTTTUUUVVVUUUVVVWWWWWWXXXWWWWWWWWWQQQRRRTTTVVVXXXYYYZZZZZZ\\\[[[ZZZYYYXXXWWWVVVVVVSSSTTTUUUUUUVVVUUUUUUUUUXXXYYY[[[]]]___``````_____________________``````[[[[[[\\\]]]^^^______```ddddddeeeeeeeeeddddddcccbbbdddhhhkkklllllljjjiiillloootttwwwxxxwwwvvvvvvsssrrrooonnnnnnqqqtttvvvttttttuuuvvvxxx{{{}}}}}}yyyvvvsssqqqnnnjjjgggdddaaa```^^^]]]^^^```bbbbbbaaa___^^^\\\[[[[[[\\\[[[YYYWWWUUUSSSRRRQQQPPPNNNJJJGGGDDDCCCAAA???===<<<;;;;;;:::;;;;;;;;;:::999888888666555333111///...------))))))*********))))))(((++++++***************)))&&&''''''(((((()))******+++)))(((((()))***((('''''''''((())))))))))))(((((((((''''''''''''(((((('''(((((((((((('''&&&&&&%%%&&&'''(((((((((((('''(((((((((((((((((((((((())))))((((((((((((((((((((((((((('''''''''''''''''''''&&&&&&&&&&&&''''''IIIIIIJJJHHHEEE@@@;;;888333333111000///.........++++++++++++++++++++++++)))***++++++++++++***)))))))))))))))))))))))))))+++******)))))))))******(((((()))))))))*********''''''''''''''''''''''''((((((((((((((((((((((((((((((((())))))((((((((('''''''''&&&&&&&&&%%%%%%((((((((('''''''''&&&&&&((((((''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''((()))%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&)))((('''&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%###  &&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$###############%%%&&&''''''((((((''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&#########$$$$$$%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''(((((()))))))))((()))******+++,,,---...000222555666777666888;;;;;;:::888888888999999999999999999::::::999999999999::::::::::::999888888888;;;>>>BBBDDDGGGIIIMMMOOOQQQTTTWWWYYYaaafffllloooqqqpppppppppppppppooollliiigggggghhhhhhkkkoooqqqqqqpppqqqrrrrrrnnnjjjhhhhhhhhhgggeeebbb___\\\\\\^^^aaabbbaaa````````````aaacccdddeeebbbaaaaaaaaaaaaaaabbbcccdddbbb^^^]]]___aaabbbcccaaa___]]]]]]^^^]]]\\\[[[WWWUUUSSSQQQPPPQQQRRRSSSSSSTTTUUUVVVWWWWWWVVVUUURRRSSSTTTVVVWWWXXXXXXXXXWWWVVVUUUSSSRRRQQQQQQQQQLLLMMMNNNPPPQQQSSSTTTUUUWWWXXXZZZ\\\]]]]]]]]]]]][[[ZZZZZZYYYYYYYYYYYYYYYVVVVVVWWWWWWXXXXXXYYYYYY\\\]]]___```aaaaaaaaaaaa```aaaccceeeeeeeeeeeedddgggjjjnnnoooooonnnnnnnnnmmmlllkkkjjjkkkmmmppprrrtttttttttuuuvvvwwwwwwxxxwwwvvvwwwxxx{{{}}}}}}|||{{{{{{zzzxxxuuuqqqnnnmmmgggeeedddcccdddeeedddbbbbbb___\\\[[[[[[[[[[[[ZZZWWWVVVVVVWWWWWWUUURRROOONNNLLLIIIEEEBBB@@@???>>>;;;<<<<<<<<<;;;:::999888888777555333222111000000+++,,,,,,,,,+++***))))))))))))))))))************'''''''''((())))))*********)))''''''((()))((('''''''''((()))))))))))))))((((((''''''''''''(((((('''((())))))((('''&&&%%%$$$%%%&&&'''((())))))))))))))))))(((((((((((((((((((((((((((((()))))))))((((((((('''''''''&&&&&&''''''&&&&&&&&&&&&''''''TTTTTTTTTRRRMMMFFF???:::666555444222111000000000++++++++++++++++++++++++)))***+++,,,,,,+++***)))))))))))))))))))))))))))))))))))))))***+++,,,---(((((())))))*********+++((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&%%%%%%%%%((((((''''''&&&&&&&&&%%%)))))))))((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&'''((())))))%%%%%%%%%&&&&&&'''''''''&&&&&&'''''''''&&&%%%%%%$$$%%%&&&'''((((((((((((&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&%%%$$$###$$$%%%%%%###$$$$$$%%%%%%&&&&&&'''"""$$$&&&%%%###"""$$$'''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&)))(((''''''&&&&&&&&&&&&###$$$%%%%%%&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((($$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&++++++******++++++,,,---...///000333555777999:::777999;;;<<<:::888777777999999999:::::::::::::::999999:::::::::;;;;;;;;;;;;;;;<<<>>>BBBGGGLLLOOOMMMPPPSSSVVVYYY\\\___bbbnnnsssxxxzzzyyyvvvsssrrrppppppnnniiiddd```___```aaaeeeiiillllllmmmnnnooonnniiidddaaaaaabbbaaa```___[[[XXXWWWYYY\\\\\\\\\YYYYYYYYY[[[]]]___bbbdddccccccccccccdddfffggghhheeebbb^^^\\\]]]```bbbbbb^^^]]]\\\]]]^^^^^^]]]\\\VVVTTTRRRPPPNNNNNNOOOPPPRRRSSSTTTVVVVVVVVVUUUTTTUUUUUUVVVWWWWWWWWWWWWWWWQQQPPPOOONNNMMMLLLLLLMMMIIIJJJKKKMMMOOORRRUUUVVVVVVWWWYYYZZZ[[[[[[[[[[[[WWWWWWVVVUUUUUUUUUVVVVVVTTTTTTTTTTTTTTTTTTTTTTTTVVVXXXZZZ\\\^^^^^^^^^^^^______`````````aaa``````bbbeeehhhiiiiiihhhhhhhhhiiihhhgggggghhhjjjmmmnnntttttttttssssssrrrrrrrrrpppoooooorrrvvv{{{}}}~~~}}}zzzxxxuuurrrooommmllllllkkkjjjccc```\\\ZZZZZZZZZZZZYYYYYYYYYYYYZZZ[[[ZZZWWWTTTUUUSSSOOOKKKGGGDDDBBBBBB============<<<:::999888999888666555444333222222.........---,,,+++***)))''''''(((((())))))***************)))((((((''''''***((('''&&&'''((('''&&&'''(((((()))))))))))))))((((((''''''''''''(((((('''((()))))))))(((&&&%%%###$$$%%%'''((())))))***&&&&&&'''((()))***++++++''''''(((((())))))************)))))))))((((((((('''''''''&&&&&&'''''''''ZZZ___```ZZZTTTNNNHHHAAA===<<<999666444333333333000///...---------------,,,++++++******)))((((((+++******))))))))))))***))))))))))))))))))))))))((((((((((((((((((((((((***)))((('''''''''''''''(((((('''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&'''''''''&&&%%%%%%$$$(((((()))))))))'''&&&%%%((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((******((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&"""$$$''')))***(((%%%###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%''''''''''''%%%%%%&&&&&&'''((('''&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%$$$$$$&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&''''''((('''&&&&&&&&&&&&((((((&&&))),,,---......000222444555666777888999999999<<<;;;:::999999:::;;;<<<888777666666666777888999888;;;======;;;;;;>>>AAABBBDDDFFFHHHJJJMMMQQQSSSXXXYYY[[[___ccchhhlllooowwwyyy}}}~~~|||wwwqqqmmmiiigggddd___YYYVVVVVVWWW[[[\\\___bbbeeeggghhhiiifffccc___[[[YYYZZZ]]]___XXXWWWVVVUUUUUUWWWXXXYYYVVVVVVVVVWWWYYY[[[]]]___^^^```bbbeeehhhjjjkkkllliiiaaa[[[[[[^^^^^^aaadddaaabbbbbbaaa^^^[[[XXXVVVRRRQQQNNNMMMMMMNNNPPPRRRPPPRRRTTTUUUUUUVVVYYY[[[ZZZ[[[[[[[[[YYYUUURRRPPPOOOLLLIIIIIIKKKKKKIIIGGGIIIIIIJJJMMMQQQTTTUUUUUUWWWVVVVVVUUUVVVWWWYYYZZZWWWUUUSSSRRRQQQQQQQQQQQQSSSRRRRRRQQQPPPOOONNNNNNPPPSSSWWW[[[]]]]]]\\\ZZZ\\\]]]^^^^^^^^^\\\[[[ZZZaaabbbbbbbbbbbbbbbbbbbbbgggggggggggghhhjjjkkklllrrrrrrssssssrrrqqqpppooohhhhhhjjjlllooosssvvvxxxyyy}}}~~~}}}~~~}}}yyyrrrlllgggddd```\\\YYYXXXXXXXXXXXXYYY[[[[[[ZZZZZZZZZ[[[XXXXXXVVVUUUSSSQQQPPPOOOFFFEEEBBB???===<<<;;;;;;<<<:::999888888666333111//////000//////---,,,++++++************)))&&&######%%%'''(((******))))))(((((())))))((('''&&&&&&******))))))(((((((((''')))((('''&&&&&&'''((()))'''((()))******)))(((''' """&&&)))+++,,,+++***+++*********))))))(((((())))))((((((''''''''''''))))))++++++,,,+++***)))((((((((((((((((((((((((___cccddd^^^XXXRRRLLLEEE@@@>>>;;;999777777888999666555444222111000000000,,,,,,,,,+++******))))))++++++******))))))******))))))))))))))))))))))))))))))))))))))))))))))))))))))((('''''''''(((((((((((('''&&&&&&&&&&&&'''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&&&&%%%$$$''''''((((((((('''%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&!!!"""$$$&&&'''%%%$$$"""&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%$$$######&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&'''((()))***)))+++...///000000222444777888999999::::::::::::;;;;;;::::::::::::;;;;;;888777666555555666777777666999;;;:::999:::>>>BBBFFFJJJPPPUUUXXX[[[^^^``````aaaccceeeiiimmmqqqsssvvvxxxyyyyyyvvvqqqlllhhhdddcccaaa\\\XXXUUUVVVWWWWWWXXXZZZ\\\]]]______```\\\ZZZWWWUUUUUUVVVXXXZZZVVVUUUUUUUUUUUUUUUVVVVVVQQQQQQQQQQQQSSSUUUWWWXXX]]]___aaadddgggjjjkkkllliii```ZZZYYY[[[\\\___ccceeeeeedddbbb___[[[WWWUUUQQQOOOMMMKKKJJJJJJLLLMMMOOOQQQSSSTTTUUUVVVYYY[[[]]]^^^___^^^\\\WWWSSSPPPOOOMMMKKKLLLNNNPPPOOONNNKKKKKKLLLOOOSSSVVVWWWVVVVVVVVVTTTTTTSSSTTTUUUVVVVVVVVVTTTSSSRRRQQQQQQQQQSSSRRRQQQPPPOOONNNMMMLLLPPPRRRVVVYYY[[[[[[ZZZYYY[[[[[[\\\\\\\\\\\\[[[[[[___^^^^^^______aaabbbcccbbbccccccdddffffffggghhhlllmmmnnnnnnnnnlllkkkjjjddddddeeegggjjjmmmppprrrssswww{{{}}}}}}}}}~~~~~~xxxrrrjjjgggbbb]]]ZZZZZZ[[[[[[ZZZ[[[[[[[[[[[[[[[\\\]]]\\\[[[[[[ZZZYYYXXXXXXXXXQQQNNNKKKGGGCCCAAA??????>>><<<:::999888777444222333222222111000///......***))))))***,,,,,,***(((&&&'''((()))))))))((('''(((((((((((((((((('''&&&((('''''''''&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&''''''((()))******)))((('''$$$%%%''')))******)))(((*********)))))))))(((((()))))))))((((((((('''''''''&&&&&&&&&''')))***+++((((((((((((((((((((((((bbbggggggaaaZZZUUUOOOIIICCCBBB???======>>>???@@@>>>===;;;999777555333333......---,,,,,,+++******,,,++++++***))))))******((((((((((((((((((((((((************************(((((('''''''''((()))))))))(((''''''&&&&&&''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''&&&%%%%%%&&&'''''''''''''''&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''$$$$$$############""""""&&&%%%%%%$$$$$$%%%%%%&&&"""###$$$%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$$$$######&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((''''''&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((()))***+++,,,,,,///111333333444555777::::::;;;<<<<<<;;;;;;;;;:::::::::;;;;;;:::::::::777666555444333444444555666888::::::;;;>>>DDDIIIPPPVVV^^^dddgggiiijjjkkkiiijjjjjjlllnnnppprrrsssssssssrrrppplllhhhdddaaa]]]]]]\\\ZZZWWWUUUUUUWWWUUUUUUVVVWWWWWWWWWVVVVVVRRRQQQPPPPPPQQQRRRTTTUUUSSSSSSTTTTTTTTTSSSSSSRRRNNNNNNMMMMMMNNNOOOQQQRRR[[[\\\___bbbfffhhhjjjkkkggg___XXXVVVWWWXXX\\\aaaggggggfffccc___ZZZVVVSSSRRRPPPNNNKKKJJJJJJKKKKKKNNNPPPSSSTTTUUUWWWYYY[[[```bbbccccccaaa\\\WWWTTTPPPOOOOOOQQQTTTWWWWWWWWWQQQPPPQQQTTTXXXZZZZZZYYYWWWUUUTTTRRRRRRRRRRRRSSSWWWWWWWWWVVVUUUTTTSSSRRRTTTSSSRRRQQQOOONNNLLLLLLPPPRRRUUUXXXYYYYYYYYYXXXYYYYYYYYYYYYZZZ[[[\\\]]]\\\[[[ZZZZZZ\\\^^^bbbddd```aaabbbdddeeeeeeeeedddgggggghhhiiiiiihhhgggfffaaabbbcccdddfffhhhkkkllllllooosssuuuvvvwwwyyyzzz~~~{{{wwwnnnkkkfffbbb___^^^^^^___\\\\\\[[[[[[[[[\\\]]]]]]^^^^^^___```aaacccdddeee```]]]XXXSSSMMMIIIFFFEEEBBB@@@<<<:::999888777555666666444333111111111000,,,++++++,,,------+++))))))))))))))))))((('''&&&&&&'''((((((((((((((((((''''''''''''&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''(((((())))))(((((('''((((((((((((((('''''''''******))))))))))))(((((()))))))))(((((((((((((((%%%$$$###"""$$$'''***,,,))))))))))))))))))))))))bbbfffgggaaa[[[WWWQQQLLLGGGEEECCCAAAAAACCCFFFHHHFFFEEECCCAAA>>>;;;888777111000000///---,,,,,,+++,,,++++++***))))))))))))((((((((((((((((((((((((************************((('''''''''((()))******)))(((((('''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&''''''''''''((((((((('''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&$$$#####################&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&%%%$$$$$$%%%&&&((()))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''''''''&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((()))***,,,---...///000222555666666777888:::;;;<<<<<<<<<<<<;;;;;;:::888999:::;;;;;;:::999888666555333222222222333444777999<<<>>>AAAGGGPPPVVV___ccciiinnnoooppppppppppppooonnnnnnmmmllllllllljjjiiigggdddaaa^^^\\\[[[XXXYYYZZZYYYWWWVVVVVVWWWWWWWWWWWWVVVUUUSSSRRRQQQMMMMMMNNNOOOPPPQQQRRRRRRRRRSSSTTTTTTTTTSSSQQQPPPNNNNNNMMMLLLLLLMMMOOOOOOVVVXXX[[[^^^bbbeeefffgggccc\\\UUUTTTTTTUUUZZZ```ffffffeeeccc___ZZZVVVSSSUUUSSSQQQPPPOOOOOOPPPPPPPPPRRRUUUVVVWWWXXX[[[]]]bbbdddggghhhgggccc___\\\UUUUUUUUUWWWYYY[[[]]]]]]WWWWWWXXX[[[^^^```___^^^WWWVVVUUUTTTSSSTTTUUUUUUYYYZZZ[[[[[[[[[YYYXXXWWWYYYXXXVVVTTTRRRPPPOOONNNRRRTTTUUUWWWYYYYYYYYYYYYXXXXXXWWWXXXYYY[[[^^^___]]][[[YYYXXXYYY\\\```cccbbbccceeeggghhhgggfffdddcccdddeeeffffffeeeddddddbbbbbbcccdddfffggghhhiiihhhjjjmmmooopppqqqrrrssstttvvvyyy{{{|||zzzwwwuuuqqqpppmmmiiifffccc```___^^^]]][[[[[[[[[\\\\\\\\\[[[\\\^^^aaaeeejjjmmmooommmjjjddd^^^WWWRRROOOMMMHHHDDD???<<<;;;;;;:::999999888666444222222111111111///...---,,,+++)))'''*********)))))))))((((((&&&&&&'''((())))))(((((()))))))))))))))((((((((())))))(((((((((((())))))((((((((((((((((((((((((***)))((('''&&&&&&''''''))))))))))))))))))((((((''''''''''''''''''''''''&&&&&&%%%$$$%%%''')))+++))))))))))))))))))))))))```eeefffaaa\\\YYYUUUQQQJJJHHHFFFDDDEEEHHHLLLNNNPPPOOOMMMKKKHHHDDDAAA???777666555333111///...------,,,+++***))))))))))))))))))))))))))))))))))))************************((((((((((((((()))***+++))))))(((''''''''''''(((''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&'''((((((''''''&&&'''''''''(((((())))))***''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$%%%&&&((()))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&'''''''''(((((((((***+++,,,...///111222222333555888999999999:::<<<:::;;;;;;;;;;;;;;;:::999777888999::::::999888777444333333222222333555666888;;;@@@CCCHHHPPPZZZaaajjjmmmqqqsssttttttuuuvvvsssrrrpppmmmjjjgggdddccc___^^^\\\ZZZYYYXXXWWWWWWWWWYYY[[[[[[YYYXXXXXXYYYYYYXXXWWWUUUSSSQQQOOOMMMKKKLLLMMMNNNOOOOOOPPPPPPSSSTTTTTTTTTSSSRRRPPPOOONNNMMMLLLKKKKKKLLLMMMNNNRRRSSSVVVZZZ]]]___aaabbb___YYYTTTTTTTTTUUU[[[bbbeeeeeeeeeccc```\\\XXXVVVUUUTTTTTTSSSSSSTTTUUUVVVTTTVVVXXXYYYYYYZZZ\\\^^^aaacccgggjjjjjjhhhfffddd\\\\\\\\\\\\\\\]]]^^^___^^^^^^___aaaddddddcccaaaYYYXXXWWWWWWXXXYYYZZZ[[[]]]^^^___`````````___^^^aaa___^^^[[[XXXVVVTTTSSSVVVWWWWWWXXXYYYZZZZZZ[[[YYYYYYYYYYYY[[[^^^```bbbaaa^^^[[[YYYYYY\\\___bbbeeefffgggiiihhhgggeeeddd___```aaabbbccccccbbbaaabbbbbbcccdddeeeffffffggghhhhhhiiijjjkkkllllllllljjjllloooqqqrrrrrrrrrrrrsssssssssrrrnnnhhhccc```aaa___\\\\\\]]]]]]\\\ZZZWWWXXXZZZ___dddjjjpppsssssspppkkkeee___ZZZWWWVVVNNNJJJEEEBBB@@@???>>>===<<<;;;999777555333333222333111...------,,,***((())))))))))))******++++++&&&&&&'''((())))))((((((((((((((()))))))))))))))))))))))))))))))))))))))((((((''''''''''''(((((()))((('''&&&&&&''')))***(((((((((((((((((())))))&&&&&&&&&&&&&&&&&&&&&&&&((()))))))))))))))((((((((((((((((((((((((((((((]]]bbbdddaaa^^^]]][[[WWWNNNLLLIIIHHHIIILLLPPPSSSWWWWWWVVVUUURRRNNNKKKIII@@@???===:::777444222111///...---,,,+++*********))))))))))))))))))))))))************************))))))((((((((()))*********)))((((((''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((('''&&&&&&&&&&&&''')))***+++&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######%%%&&&&&&&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$#########$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&######""""""""""""######&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&''''''((()))***++++++---...000222333444555555555777999:::::::::;;;<<<999999::::::;;;::::::999888888888999999888888888444444444555666999;;;<<<;;;???EEEIIIOOOVVV```gggppprrruuuwwwwwwxxxyyyzzzrrrqqqnnnkkkgggccc```^^^WWWVVVUUUUUUTTTTTTUUUUUUWWWZZZ\\\]]]\\\ZZZYYYYYYVVVVVVTTTRRRPPPMMMKKKJJJIIIIIIJJJLLLMMMNNNOOOOOOTTTTTTTTTSSSRRRPPPOOONNNLLLKKKJJJIIIJJJKKKLLLMMMOOOQQQSSSVVVYYY[[[\\\]]]\\\YYYWWWXXXXXXZZZ```hhhiiiiiiiiigggddd```]]]ZZZTTTTTTTTTUUUUUUVVVWWWXXXWWWYYYZZZ[[[[[[[[[]]]^^^^^^```dddgggiiiiiihhhgggaaaaaaaaa___]]]\\\]]]^^^aaaaaabbbeeeffffffdddbbb[[[ZZZZZZZZZZZZ\\\^^^______```bbbcccdddeeeeeeeeeiiihhheeebbb___\\\ZZZYYYZZZZZZYYYYYYZZZ[[[\\\\\\[[[\\\\\\^^^___aaacccdddeeebbb___\\\\\\___bbbdddgggggghhhgggfffdddbbbaaaZZZ[[[]]]___``````_________```aaabbbcccdddddddddhhhgggfffgggiiijjjiiihhheeefffiiijjjkkklllooorrrrrrsssuuuvvvsssnnniiifffhhheeebbbbbbcccbbb^^^ZZZUUUVVVXXX[[[```fffkkknnnqqqnnnkkkfffccc```^^^^^^VVVSSSNNNKKKIIIGGGEEECCC@@@@@@???===;;;888666555333111///.../////////---******))))))***+++,,,,,,&&&'''((((((((((((((((((&&&&&&&&&'''''''''''''''&&&''''''((((((''''''&&&(((''''''&&&&&&''''''(((''''''&&&&&&'''(((***+++''''''(((((((((((())))))&&&&&&&&&&&&&&&''''''''')))***++++++***)))'''&&&((((((((((((((((((((((((WWW]]]```^^^]]]^^^]]]ZZZRRROOOMMMKKKLLLOOOTTTWWWYYYZZZZZZYYYWWWTTTQQQOOOJJJIIIFFFBBB>>>;;;888666333222111///......------++++++++++++++++++++++++))))))))))))))))))))))))******))))))((()))))))))***))))))(((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((((((((($$$$$$$$$$$$%%%''')))***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$###"""!!!!!!"""###$$$&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&'''((()))+++---...///111222444555777777777777555777999:::::::::;;;<<<888999::::::;;;;;;;;;;;;888888777777777777888888555666777999<<<@@@CCCEEEDDDHHHNNNRRRVVV\\\dddjjjrrruuuyyyzzzxxxvvvtttsssjjjjjjhhhfffccc```]]][[[UUUUUUTTTTTTTTTTTTTTTTTTXXX[[[^^^___]]]ZZZXXXWWWSSSSSSRRRPPPNNNKKKIIIHHHGGGHHHIIIKKKMMMPPPRRRTTTTTTSSSRRRPPPNNNMMMMMMMMMKKKJJJJJJIIIJJJKKKMMMNNNOOOPPPRRRTTTVVVXXXYYYYYY\\\ZZZ[[[^^^```bbbhhhppprrrrrrqqqoookkkfffbbb```WWWWWWWWWWWWWWWWWWXXXXXXYYYZZZ\\\[[[ZZZZZZ[[[]]]\\\]]]___aaacccdddeeeeeebbbcccccc```]]][[[\\\^^^aaaaaaccceeeffffffccc```\\\\\\[[[ZZZZZZ[[[\\\]]]```aaabbbcccfffhhhjjjkkkooonnnkkkhhhdddaaa^^^]]]\\\[[[ZZZYYYYYYZZZ\\\]]]^^^___aaacccdddeeefffffffffdddbbbaaaaaadddgggiiikkkjjjhhhfffdddbbbaaa```ZZZ[[[]]]^^^`````````___]]]^^^```bbbccccccccccccfffdddcccdddgggiiihhhgggcccdddeeeeeefffiiinnnssspppqqqsssuuuuuusssrrrppppppnnnkkkkkkllliiiccc]]]YYYXXXXXXYYY\\\```dddgggiiihhhfffdddcccccccccddd^^^[[[XXXUUUSSSPPPMMMJJJGGGGGGGGGFFFDDD@@@<<<:::666444222111222222111111---,,,+++*********++++++(((((((((((((((((('''&&&&&&&&&&&&&&&'''''''''(((&&&'''((())))))((('''&&&((('''&&&&&&&&&&&&'''((('''''''''''''''((())))))'''''''''((((((((())))))'''''''''((((((((())))))((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&QQQWWW[[[ZZZZZZ\\\\\\ZZZUUURRROOOMMMNNNRRRVVVYYYWWWXXXYYYXXXWWWTTTRRRPPPQQQOOOLLLHHHCCC???<<<:::666555444222111000000000++++++++++++++++++++++++((((((((((((((((((((((((++++++***)))(((((())))))******)))(((((((((((((((''''''''''''''''''''''''))))))))))))))))))))))))&&&&&&'''((())))))((((((""""""""""""###%%%''')))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$######$$$%%%&&&&&&&&&'''((('''&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''(((((((((((($$$%%%%%%&&&&&&%%%%%%$$$&&&'''(((***,,,...000111333444666777888999888888555777999:::999999:::<<<888999:::;;;<<<<<<<<<<<<999888777666666777888999777888999<<<@@@EEEIIIKKKLLLQQQVVVZZZ\\\aaaggglllssswww{{{{{{wwwqqqkkkhhhbbbbbbbbbaaa___]]]ZZZYYYVVVVVVUUUUUUUUUTTTTTTTTTYYY\\\______]]]YYYWWWVVVRRRRRRQQQOOOMMMKKKIIIHHHGGGHHHIIILLLOOOSSSWWWYYYTTTRRRPPPNNNLLLKKKKKKLLLLLLLLLKKKKKKLLLMMMOOOPPPOOOPPPRRRTTTVVVWWWXXXXXX\\\\\\___ccceeegggnnnvvvzzzzzzxxxuuupppkkkfffccc[[[[[[ZZZZZZYYYYYYYYYXXXZZZ[[[\\\[[[ZZZYYYZZZ[[[[[[[[[\\\]]]___```aaabbbbbbccccccaaa]]][[[\\\^^^```aaabbbdddeeedddaaa^^^]]]\\\[[[YYYYYYYYYZZZZZZ``````aaacccfffiiilllnnnrrrqqqnnnkkkgggccc```___\\\[[[ZZZXXXXXXZZZ[[[]]]```aaadddfffggghhhhhhgggfffeeeddddddeeehhhkkkmmmooommmkkkgggeeecccaaaaaa\\\]]]___aaabbbcccbbbbbb^^^___aaaccceeeeeeeeeeeecccaaa```bbbfffiiihhhgggbbbccccccbbbbbbfffmmmsssooooooppprrrtttvvvxxxzzzwwwtttrrrrrrsssoooggg```]]]\\\ZZZYYYZZZ\\\___aaadddcccbbbbbbcccdddfffgggcccaaa^^^\\\YYYVVVRRROOOKKKMMMNNNMMMJJJFFFAAA>>>===:::666444333222111000///...,,,***)))))))))***((()))))))))((('''&&&&&&'''((((((((())))))******((()))***++++++***)))(((((('''&&&%%%%%%&&&'''(((((((((((((((((('''''''''&&&'''''''''(((((())))))((()))))))))******++++++&&&%%%###"""###%%%''')))&&&&&&&&&&&&&&&&&&&&&&&&UUUVVVVVVWWWXXXYYYZZZZZZTTTSSSRRRRRRSSSTTTVVVWWWXXXXXXXXXWWWUUURRRPPPNNNOOOMMMLLLLLLNNNMMMIIIFFF@@@===999666444222000...------,,,,,,+++++++++***+++***)))(((((()))***+++)))******)))(((''''''(((************))))))))))))))))))(((((('''''''''&&&)))(((((('''''''''''''''******))))))((((((''''''&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''(((''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$'''''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$$$$%%%&&&&&&%%%###%%%&&&&&&%%%$$$$$$%%%''''''''''''''''''''''''&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''((((((((((((''''''&&&&&&&&&######$$$$$$%%%&&&''''''!!!"""$$$%%%&&&%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&'''((((((((('''&&&%%%%%%%%%&&&'''''''''&&&%%%$$$$$$%%%'''((()))(((''''''((())),,,///222333444444::::::::::::::::::::::::999999999888888888777777::::::;;;<<<;;;:::888777555666777777777888;;;======>>>AAAFFFLLLQQQVVVXXXVVVZZZ]]]]]]\\\]]]bbbgggooorrrtttsssnnnhhhbbb___\\\\\\]]]]]]\\\ZZZYYYXXXWWWWWWWWWWWWWWWXXXXXXYYY\\\___bbbdddccc___ZZZWWWTTTPPPLLLJJJJJJJJJIIIHHHIIIJJJJJJKKKMMMNNNPPPQQQOOOPPPRRRQQQPPPPPPQQQRRRQQQPPPQQQSSSUUUVVVUUUSSSRRRRRRSSSTTTUUUXXXZZZ[[[\\\___bbbeeegggkkkrrrxxxzzz{{{{{{zzzvvvpppiiieee^^^\\\[[[YYYXXXXXXXXXXXX\\\ZZZYYYYYYZZZ[[[ZZZYYYWWWWWWVVVWWWXXXZZZ\\\^^^^^^]]]\\\\\\[[[[[[\\\\\\cccdddeeedddcccbbbcccddd___]]][[[XXXWWWVVVWWWXXXZZZ]]]aaaeeehhhjjjkkkkkkoooooommmjjjgggccc```^^^]]]\\\[[[ZZZYYYYYYZZZ[[[^^^___bbbeeehhhjjjkkklllgggggggggggghhhjjjmmmnnnooonnnkkkhhhfffdddcccbbbddddddcccbbbaaaaaa``````cccccceeehhhjjjkkkiiigggbbbbbbbbbccceeeggghhhiiieeecccaaabbbeeeiiijjjkkklllnnnqqquuuyyy|||~~~}}}yyywwwuuupppjjjeee```___]]]\\\\\\]]]___```bbbaaa``````aaacccfffhhhddddddeeedddaaa\\\XXXUUUXXXWWWVVVUUUSSSNNNGGGCCCDDDBBB@@@===999666333222555333222111111000...,,,++++++******)))))))))(((+++++++++++++++***))))))))))))(((((((((((())))))))))))))))))((((((((((((''''''((((((((((((''''''&&&%%%%%%%%%&&&(((***+++''''''''''''((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((())))))))))))UUUVVVVVVWWWXXXYYYZZZZZZXXXWWWVVVVVVUUUUUUUUUUUUUUUUUUUUUSSSQQQOOOMMMKKKKKKJJJJJJLLLNNNOOOMMMJJJFFFCCC@@@===:::888444111///......---------------+++***)))((((((((()))***)))*********((('''((()))************)))))))))))))))))))))(((((((((''''''******)))(((((((((((()))(((((((((((('''''''''&&&&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''(((''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$$$$%%%&&&&&&%%%###%%%&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%&&&'''''''''%%%%%%&&&''''''&&&&&&&&&######$$$%%%%%%%%%%%%$$$''''''''''''''''''&&&&&&&&&&&&'''(((((('''&&&%%%&&&'''((((((((((((((('''+++,,,///111444555666666::::::::::::::::::::::::999999999888888888777777666777777888888888777777777888888888888:::>>>@@@DDDFFFJJJOOOUUUZZZ^^^```aaabbbccc```\\\[[[___ccciiikkknnnmmmiiiccc___]]]]]]]]]^^^]]]]]][[[ZZZYYYZZZYYYWWWVVVVVVWWWWWWXXX[[[^^^bbbeeeddd___ZZZVVVSSSPPPLLLIIIHHHGGGFFFEEEGGGHHHHHHJJJLLLNNNPPPQQQPPPQQQQQQQQQPPPPPPRRRTTTXXXXXXYYY\\\^^^^^^\\\ZZZUUUUUUTTTTTTUUUWWWZZZ[[[\\\___bbbdddfffiiiooosssvvvwwwyyyxxxuuuqqqlllhhhaaa___\\\ZZZXXXXXXXXXYYYZZZYYYYYYZZZ[[[[[[YYYXXXTTTSSSSSSSSSTTTVVVWWWYYYUUUVVVWWWXXXYYY[[[\\\\\\aaabbbbbbaaa___^^^___```[[[YYYWWWTTTSSSRRRSSSSSSWWWZZZ]]]aaaccceeeeeeeeeeeedddcccaaa___^^^\\\\\\[[[ZZZYYYXXXWWWWWWXXXYYY[[[]]]___bbbeeehhhiiijjjgggffffffeeefffgggiiiiiilllkkkjjjiiihhhggggggffffffeeeeeeeeeeeedddddddddeeeeeefffiiillllllkkkiiieeeffffffggghhhiiijjjkkkfffdddccccccfffhhhiiijjjiiikkknnnqqquuuyyy{{{}}}}}}{{{yyyxxxtttnnnjjjfffeeedddbbbbbbbbbbbbbbb```_________```ccceeefffffffffgggfffeeebbb```^^^]]]\\\\\\[[[YYYTTTNNNIIIGGGFFFDDDAAA>>>;;;999777555333111000000000...---,,,+++++++++******************++++++******)))((())))))(((((((((((())))))((((((((((((''''''''''''(((((())))))))))))((((((&&&&&&&&&&&&&&&'''((()))(((((((((((())))))))))))&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((())))))))))))UUUVVVVVVWWWXXXYYYZZZZZZ]]]]]]]]]\\\ZZZXXXUUUTTTRRRRRRPPPOOOLLLJJJIIIHHHGGGGGGHHHJJJNNNOOOOOONNNLLLJJJGGGFFFDDD@@@<<<888444333111///......//////+++***)))(((''''''((())))))*********((('''((()))************))))))))))))***)))))))))))))))((((((******)))(((((((((((()))''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''(((''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''%%%$$$$$$%%%&&&&&&%%%###%%%&&&&&&%%%$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&######$$$%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&''''''((((((''''''&&&%%%%%%&&&&&&&&&######$$$%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''&&&''''''(((((((((''''''))))))((((((((()))******///111333555777888888999;;;;;;;;;;;;;;;;;;;;;;;;999888888888888777777777555555555555666777888999:::;;;;;;<<<===@@@EEEHHHNNNQQQUUUZZZ___ccceeefffiiihhheee___YYYVVVYYY\\\ccceeegggfffccc```^^^^^^]]]]]]]]]]]]]]]\\\[[[ZZZ[[[YYYWWWUUUTTTUUUWWWXXX]]]aaaeeehhhfffaaa[[[VVVQQQNNNJJJHHHFFFEEEDDDBBBFFFFFFGGGIIIKKKNNNPPPQQQRRRRRRRRRQQQQQQRRRUUUXXX___```bbbeeegggfffccc```[[[YYYVVVUUUUUUWWWZZZ\\\]]]___aaacccdddfffhhhjjjlllnnnppprrrqqqoookkkiiieeebbb^^^ZZZWWWWWWXXXYYYYYYYYYYYY[[[\\\[[[XXXUUUNNNMMMLLLLLLLLLMMMOOOPPPLLLNNNQQQUUUXXXZZZ[[[\\\^^^______]]]ZZZXXXXXXYYYUUUTTTRRRPPPOOONNNNNNOOOSSSUUUXXXZZZ\\\\\\[[[[[[XXXWWWVVVUUUUUUVVVWWWXXXXXXWWWVVVVVVUUUVVVVVVVVVVVVXXX[[[^^^aaadddffffffeeedddcccbbbbbbbbbbbbbbbccceeefffhhhiiijjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiigggggghhhjjjlllmmmkkkjjjiiijjjkkklllmmmlllkkkkkkgggeeecccccceeegggggggggffffffhhhkkknnnrrrvvvxxxzzzzzzyyyyyyxxxvvvrrrooonnnnnnmmmlllkkkiiihhhggg`````````aaabbbccceeefffggggggggggggggggggffffffcccbbbbbbbbb```[[[UUUPPPLLLKKKIIIGGGEEECCCAAA@@@999666333111000000///---------,,,,,,,,,+++++++++***************)))(((((())))))(((((((((((())))))''''''''''''&&&&&&&&&&&&)))))))))******)))))))))&&&&&&'''''''''''''''&&&(((((()))))))))*********&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((()))))))))UUUVVVVVVWWWXXXYYYZZZZZZ```aaabbbbbb```]]]ZZZXXXRRRQQQNNNLLLIIIHHHGGGFFFDDDEEEFFFIIILLLNNNOOOOOONNNMMMLLLLLLLLLIIIEEEBBB;;;999666333111000//////---,,,***(((''''''(((((((((***+++***(((((()))***************)))))))))(((************))))))))))))))))))(((''''''''''''(((''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''(((''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&'''''''''(((((('''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&%%%%%%'''''''''''''''''''''''''''%%%$$$$$$%%%&&&%%%%%%###%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%&&&&&&&&&'''''''''((($$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&%%%$$$###"""###$$$%%%%%%&&&&&&'''((('''''''''&&&&&&&&&&&&''''''((((((&&&&&&''''''''''''''''''))))))))))))***,,,///000444555666777999:::;;;;;;::::::::::::::::::::::::888888888888777777777777888666555555666888;;;======???AAACCCFFFJJJPPPTTTXXX[[[^^^bbbeeefffgggfffgggddd```YYYSSSRRRTTTVVV```aaacccbbbaaa``````aaa[[[[[[[[[[[[ZZZZZZYYYYYYZZZXXXUUUSSSSSSTTTWWWYYY```ccchhhjjjhhhaaaZZZUUUNNNKKKHHHGGGFFFFFFDDDCCCFFFGGGHHHJJJMMMOOORRRSSSTTTUUUTTTSSSSSSUUUYYY]]]bbbdddfffjjjlllkkkgggccc```^^^ZZZVVVVVVWWWZZZ\\\]]]^^^```````````````aaa___aaaeeehhhiiiiiigggfffeeeaaa\\\WWWTTTTTTUUUVVVXXXXXXXXXYYYYYYWWWSSSOOOFFFEEEDDDCCCCCCCCCDDDEEEFFFHHHMMMRRRUUUXXXXXXYYYYYYYYYYYYWWWTTTQQQQQQRRRPPPOOONNNLLLKKKJJJJJJJJJNNNOOOQQQSSSSSSRRRQQQPPPNNNLLLJJJIIIJJJMMMPPPRRRTTTTTTSSSSSSSSSSSSSSSSSSQQQSSSVVVYYY\\\___```aaabbbaaa___^^^\\\[[[ZZZZZZYYY\\\```dddhhhjjjjjjjjjmmmmmmmmmmmmllllllllllllhhhhhhhhhiiikkkllljjjiiikkklllmmmnnnnnnllljjjiiigggeeecccccccccdddcccbbbbbbbbbbbbdddgggkkkoooqqqrrrrrrsssuuuuuutttrrrppprrrrrrsssssssssqqqnnnmmmfffgggggghhhhhhiiiiiiiiiiiiiiihhhgggggghhhiiijjjgggfffeeeeeeccc___YYYUUUPPPPPPNNNMMMKKKJJJHHHHHHBBB>>>999666444333111///.........---,,,,,,,,,+++)))************)))(((((())))))(((((((((((())))))((((((((('''''''''&&&&&&(((((())))))))))))((((((&&&'''((((((((('''%%%$$$(((((((((((())))))))))))'''''''''''''''''''''''''''''''''((((((((())))))UUUVVVVVVWWWXXXYYYZZZZZZaaaccceeeffffffdddaaa___UUUSSSOOOLLLIIIHHHHHHHHHFFFFFFHHHHHHIIIJJJLLLMMMMMMMMMNNNOOOQQQPPPMMMKKKDDDBBB>>>:::555222000//////...,,,***))))))))))))(((***+++***)))((()))+++************)))))))))((())))))))))))************+++***))))))(((((())))))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''(((''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&'''''''''(((((('''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&%%%%%%'''''''''''''''''''''''''''%%%$$$$$$%%%&&&%%%%%%###%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&'''''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&'''''''''''''''&&&%%%$$$###"""###$$$%%%&&&&&&'''(((((((((''''''&&&&&&&&&&&&&&&'''((()))&&&&&&&&&&&&&&&''''''((()))******,,,...111444666888888888999999:::;;;;;;::::::::::::::::::::::::777777777777777777777777999888666666777;;;>>>AAACCCEEEIIIMMMQQQVVV\\\```bbbdddfffggggggeeedddbbb___]]]XXXTTTQQQRRRTTTWWW\\\^^^______^^^^^^___```XXXXXXWWWWWWWWWWWWWWWWWWVVVUUURRRQQQQQQTTTWWWYYY^^^aaaeeefffddd^^^WWWRRRLLLJJJHHHHHHIIIJJJIIIHHHIIIIIIJJJLLLOOORRRTTTVVVWWWWWWWWWVVVUUUXXX\\\___bbbdddgggkkkmmmllliiieeeccc```\\\XXXVVVWWWZZZ[[[[[[[[[[[[[[[ZZZYYYWWWVVVSSSVVVZZZ]]]```aaaaaa```___[[[VVVQQQNNNNNNPPPQQQRRRQQQQQQQQQPPPMMMHHHDDD???>>>===<<<;;;<<<======AAACCCGGGKKKOOOPPPQQQQQQPPPQQQQQQOOOLLLJJJIIIJJJKKKJJJIIIHHHGGGFFFFFFFFFFFFGGGIIIJJJJJJIIIHHHGGGGGGEEEBBBAAAAAADDDHHHJJJMMMNNNNNNNNNNNNNNNNNNNNNNNNOOORRRTTTWWWYYY[[[\\\\\\\\\ZZZYYYWWWUUUSSSRRRSSSVVV[[[aaaeeeiiijjjkkkoooooonnnnnnnnnmmmmmmmmmiiihhhggghhhjjjjjjiiihhhjjjkkklllmmmllljjjhhhffffffdddbbbbbbbbbaaa```^^^___^^^^^^___aaadddgggiiijjjlllnnnpppppppppoooooooooqqqsssuuuuuuuuusssrrrooopppqqqrrrrrrrrrqqqqqqqqqpppnnnllllllmmmnnnooojjjhhhfffdddbbb___[[[WWWTTTTTTSSSQQQPPPOOONNNMMMLLLHHHCCC???<<<999666333111111000///...---,,,+++***************)))(((((())))))(((((((((((()))))))))))))))(((((((((''''''&&&''''''''''''''''''&&&''''''((()))(((&&&%%%$$$&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''''''''((((((((((((UUUVVVVVVWWWXXXYYYZZZZZZ```bbbdddggghhhgggeeedddYYYVVVRRRNNNKKKJJJKKKKKKIIIJJJKKKJJJIIIIIIKKKMMMLLLLLLMMMPPPSSSTTTSSSQQQLLLKKKGGGBBB===999555333333222///---,,,+++++++++(((***+++***))))))***,,,************))))))))))))(((((()))))))))))))))***,,,,,,+++************+++((((((((()))))))))))))))&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''(((''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''%%%$$$$$$%%%&&&&&&%%%###%%%&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$######"""!!!!!!$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''((($$$$$$%%%&&&&&&&&&&&&&&&((('''&&&%%%%%%&&&((()))&&&&&&&&&&&&'''((())))))+++,,,---000333666888:::999999888888888999::::::999999999999999999999999666666777777777777777888888888777999<<<@@@EEEGGGLLLPPPVVVZZZ^^^bbbeeehhhhhhhhhhhhgggeeebbb___^^^YYYWWWTTTSSSSSSUUUXXXZZZXXXYYY[[[[[[ZZZYYYZZZ[[[UUUUUUTTTSSSSSSTTTTTTUUUTTTRRRQQQOOOPPPRRRTTTVVVWWWYYY\\\^^^]]]YYYSSSPPPMMMLLLKKKLLLNNNOOOOOOMMMLLLLLLMMMOOOQQQTTTVVVWWWXXXXXXXXXWWWWWWXXX[[[^^^___aaacccgggkkkkkkhhhfffbbb```\\\XXXVVVVVVWWWXXXWWWUUUSSSQQQQQQOOOMMMKKKJJJLLLPPPSSSVVVWWWXXXXXXSSSPPPLLLIIIGGGGGGHHHIIIGGGFFFFFFFFFEEECCC???<<<;;;:::999888888999::::::<<<>>>AAADDDGGGIIIIIIJJJJJJKKKKKKJJJGGGFFFGGGGGGHHHHHHHHHGGGFFFFFFEEEEEEAAACCCDDDFFFFFFFFFDDDCCCEEECCC@@@>>>>>>AAACCCEEEHHHHHHIIIJJJJJJJJJJJJIIIKKKMMMOOOQQQSSSUUUVVVVVVUUUUUUUUUTTTRRRPPPNNNMMMPPPSSSWWW]]]bbbeeehhhiiikkkllllllmmmmmmnnnnnnnnnlllkkkjjjjjjkkkkkkjjjiiikkkkkkllllllkkkiiihhhgggfffdddbbbbbbbbbaaa___]]]]]]\\\\\\\\\]]]___```bbbcccfffjjjllllllkkklllllljjjkkknnnqqqsssssssssrrrtttvvvyyy{{{}}}}}}}}}||||||{{{zzzxxxxxxxxxxxxyyypppmmmhhheeebbb```]]][[[XXXWWWVVVUUUTTTSSSRRRQQQSSSPPPLLLHHHEEEBBB===:::777666444333111///------+++++++++++++++***))))))))))))(((((((((((())))))***)))))))))((((((((((((%%%&&&&&&''''''&&&&&&%%%'''((((((((('''&&&%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&'''''''''(((((((((UUUVVVVVVWWWXXXYYYZZZZZZ^^^```bbbeeefffffffffeee\\\YYYTTTOOOMMMLLLMMMNNNLLLMMMNNNMMMKKKKKKMMMPPPNNNNNNNNNPPPSSSUUUUUUTTTQQQQQQOOOKKKGGGAAA===:::666555333000...---------((()))++++++***)))+++,,,************))))))))))))''''''((((((((()))))))))+++******)))((()))))))))'''''''''((((((((())))))&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''(((''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$$$$%%%&&&&&&%%%###%%%&&&&&&%%%$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%###$$$%%%&&&'''((((((((($$$%%%%%%&&&&&&&&&&&&&&&)))(((&&&%%%%%%&&&'''((()))((((((((()))***+++,,,///000222444666888999999999888777666666777777888777777777777777777777777666666666666777777888888888999;;;???EEEKKKQQQTTTXXX\\\bbbgggiiiiiijjjkkkfffeeecccaaa^^^[[[YYYXXXUUUTTTRRRRRRTTTVVVXXXYYYUUUWWWYYYYYYXXXVVVVVVVVVTTTSSSRRRRRRRRRRRRSSSTTTTTTRRRQQQOOONNNNNNOOOOOOOOORRRUUUXXXYYYXXXVVVTTTQQQPPPPPPQQQSSSTTTRRRQQQNNNNNNOOOPPPRRRTTTVVVWWWVVVWWWXXXWWWVVVWWWXXXZZZXXXYYY[[[___ccceeedddbbb^^^\\\YYYVVVTTTSSSSSSSSSQQQNNNIIIGGGFFFEEECCCAAAAAABBBEEEHHHJJJKKKKKKKKKFFFDDDBBB@@@???@@@AAABBB@@@???>>>>>>??????===<<<;;;:::999999999:::;;;<<<<<<===???AAADDDFFFHHHIIIKKKLLLMMMMMMKKKKKKLLLMMMMMMMMMMMMLLLLLLKKKJJJJJJDDDFFFHHHJJJKKKKKKJJJIIIHHHGGGEEEDDDDDDFFFHHHJJJHHHIIIJJJKKKLLLKKKKKKJJJKKKLLLMMMOOOPPPQQQQQQRRROOOPPPPPPPPPNNNMMMKKKJJJLLLNNNQQQUUUZZZ^^^aaacccdddeeegggiiilllnnnpppqqqrrrpppnnnnnnooooooooommmmmmmmmllllllkkkkkkjjjjjjgggeeedddccccccbbb```^^^\\\\\\\\\\\\\\\[[[[[[[[[]]]```dddfffeeedddeeefffdddfffhhhkkkmmmnnnnnnnnnrrruuu{{{yyytttmmmhhheeecccbbbaaa\\\[[[ZZZYYYWWWVVVUUUTTTTTTSSSQQQPPPNNNJJJEEEBBB===<<<:::777555222000///,,,,,,,,,,,,,,,+++******))))))(((((((((((())))))))))))((((((((('''''''''&&&&&&''''''''''''&&&&&&(((''''''&&&&&&&&&''''''&&&&&&&&&&&&'''''''''(((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((UUUVVVVVVWWWXXXYYYZZZZZZ]]]^^^```bbbdddddddddddd^^^[[[UUUPPPMMMMMMNNNPPPNNNPPPPPPOOOMMMMMMPPPSSSQQQPPPOOOPPPRRRUUUUUUUUUTTTTTTSSSQQQMMMHHHCCC@@@999777555222000/////////((()))++++++******+++,,,************))))))))))))&&&'''''''''(((((())))))''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((&&&''''''''''''''''''&&&''''''''''''''''''''''''(((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$$$$%%%&&&&&&%%%###%%%'''&&&%%%$$$%%%%%%########################$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''(((((()))$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%% ###%%%&&&'''&&&&&&&&&'''(((((())))))((((((***)))'''%%%$$$%%%&&&'''+++******)))***,,,...///222333666777999999888888999888666555555555666777666666666666666666666666555666666666777777888888:::<<<@@@FFFNNNUUU\\\___```eeekkknnnooommmllllllaaa___]]]ZZZWWWUUUTTTSSSTTTRRRQQQQQQSSSUUUUUUUUUVVVXXXZZZZZZXXXVVVUUUTTTTTTSSSRRRQQQQQQRRRSSSTTTTTTSSSRRRPPPMMMLLLKKKJJJLLLNNNSSSWWWZZZ[[[[[[[[[VVVUUUTTTUUUVVVVVVTTTRRROOOOOOOOOPPPRRRTTTUUUVVVTTTVVVWWWWWWUUUUUUVVVWWWQQQRRRTTTWWW\\\^^^^^^^^^ZZZYYYVVVTTTRRRQQQPPPPPPMMMHHHCCC@@@??????===;;;999:::<<>>===<<<;;;;;;;;;<<<======<<<<<<===???AAAAAA@@@<<<;;;:::::::::<<<===>>>===>>>???BBBEEEHHHKKKLLLOOOQQQRRRSSSRRRRRRTTTVVVSSSSSSTTTSSSSSSRRRQQQPPPJJJLLLOOOQQQSSSSSSRRRRRRNNNMMMLLLKKKLLLNNNPPPQQQLLLMMMNNNPPPPPPPPPOOONNNKKKKKKLLLNNNOOOOOOOOOOOOLLLLLLMMMMMMMMMKKKJJJIIIHHHIIIKKKNNNSSSWWWZZZ]]]^^^```cccgggkkkooorrrtttvvvtttrrrrrrssssssrrrqqqoooooonnnmmmlllmmmmmmmmmhhhfffeeeeeeeeedddaaa___\\\\\\\\\\\\[[[ZZZYYYXXXWWW[[[___```___^^^___```bbbcccdddfffhhhiiijjjjjjooossszzzzzzrrrkkkhhhgggffffff^^^^^^\\\[[[YYYXXXWWWVVVSSSSSSSSSSSSSSSPPPKKKGGGBBB@@@>>>;;;888555222111,,,------------,,,++++++))))))(((((((((((())))))(((((('''''''''&&&&&&&&&''''''((((((((((((''''''((('''&&&%%%%%%&&&((((((''''''''''''((((((((()))((((((((((((((((((((((((&&&&&&&&&'''''''''((((((YYYYYYZZZ[[[\\\\\\]]]]]]```___^^^___aaaccccccbbb[[[WWWRRROOOOOORRRTTTUUUQQQTTTUUUUUUSSSPPPOOOOOOQQQOOOMMMMMMOOORRRSSSSSSVVVUUURRROOOLLLJJJHHHGGG???===999666333111000000000///---------,,,***((())))))(((((((((***+++,,,)))***,,,,,,,,,+++)))'''******))))))((((((''''''))))))(((((('''''''''&&&&&&&&&''''''''''''&&&&&&((((((((((((''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%###$$$$$$%%%%%%$$$$$$###&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%&&&%%%$$$$$$&&&(((''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&'''(((###$$$%%%%%%######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%&&&'''(((((())))))((((((&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&((()))))))))(((&&&'''(((+++---///111222444555666777888999999999888777666555555666777888666555444444555777777666444444555666777999:::;;;>>>BBBIIIPPPWWW^^^eeeiiimmmlllmmmpppsssppphhh```ZZZUUURRRRRRUUUVVVSSSOOOOOOOOOPPPQQQQQQRRRSSSSSSWWWYYY\\\^^^]]]ZZZVVVTTTUUUUUUUUUUUUTTTSSSRRRQQQSSSSSSRRRPPPOOOMMMKKKJJJJJJMMMQQQUUUXXXYYYYYYXXXXXXWWWXXXYYYYYYWWWSSSOOORRRQQQQQQPPPQQQRRRTTTUUUTTTSSSRRRRRRRRRQQQNNNKKKFFFGGGKKKOOOSSSVVVXXXYYYXXXTTTOOOMMMKKKIIIFFFBBBDDDBBB>>>;;;999888888888555666888999:::::::::999::::::999999:::;;;===>>>;;;===???AAACCCEEEFFFFFFCCCCCCBBBBBBBBBBBBCCCCCCDDDDDDEEEEEEFFFIIINNNRRRZZZ\\\^^^`````````___^^^ZZZ\\\]]]______^^^\\\[[[YYYZZZ[[[\\\]]]]]]]]]]]]ZZZWWWSSSSSSVVVYYYZZZZZZYYYZZZ[[[[[[[[[ZZZYYYXXXWWWWWWUUURRROOONNNOOOPPPTTTUUUUUUTTTSSSQQQOOONNNKKKKKKKKKKKKLLLNNNPPPRRRUUUWWW[[[```ffflllqqqtttvvvwwwxxxzzz||||||zzzxxx{{{wwwqqqnnnlllllllllllljjjiiifffdddbbbaaaaaaaaadddcccbbb```^^^\\\ZZZYYY______^^^]]]\\\ZZZYYYXXX[[[\\\___bbbeeeggghhhiiieeekkkttt||||||vvvtttrrrooollllllhhhbbb^^^\\\[[[ZZZYYYZZZYYYWWWWWWWWWVVVSSSQQQLLLHHHDDD@@@===:::666444000---+++***+++,,,,,,+++,,,+++***(((''''''''''''---+++)))((())))))((('''******))))))(((((('''''')))((('''(((******)))'''************))))))))))))))))))(((((('''''''''&&&((((((((((((((((((((((((]]]]]]]]]^^^___``````aaaaaa___^^^___```bbbaaaaaa[[[WWWQQQNNNNNNQQQTTTUUUWWWYYY[[[ZZZWWWTTTRRRRRRRRRPPPNNNMMMOOOQQQQQQQQQSSSQQQOOOMMMKKKIIIIIIHHHFFFEEECCC???<<<999666444000...++++++++++++***)))))))))((((((((()))+++,,,((()))***++++++)))((('''))))))))))))(((((((((((()))(((((((((''''''''''''&&&''''''((((((''''''&&&''''''((()))***+++,,,,,,'''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%%%%%%%%%%%%%$$$&&&&&&''''''''''''&&&&&&&&&%%%###$$$&&&''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&%%%$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((()))))))))))))))+++,,,...000222444555666777777888999::::::::::::888777777666666666777777555444444444555555555555777777888999;;;>>>AAABBBGGGKKKQQQWWW]]]ccchhhkkkkkkjjjiiikkkmmmjjjbbb\\\VVVRRRNNNMMMOOOPPPNNNKKKMMMMMMNNNOOOQQQRRRTTTUUUXXXZZZ]]]______]]]ZZZXXXXXXWWWUUUSSSRRRRRRSSSTTTXXXXXXWWWVVVTTTRRRPPPOOOQQQSSSVVVYYYZZZZZZYYYYYYYYYYYYYYYZZZZZZXXXTTTQQQRRRRRRQQQPPPQQQRRRSSSTTTQQQPPPOOONNNNNNLLLIIIFFF@@@AAADDDGGGJJJMMMNNNOOOOOOKKKHHHEEEDDDCCC@@@===>>><<<:::888777777888999444555777999:::::::::::::::;;;;;;<<<===>>>???@@@???@@@BBBEEEGGGIIIJJJJJJIIIIIIHHHHHHIIIJJJJJJKKKMMMNNNNNNOOOPPPSSSWWW[[[bbbcccfffhhhiiijjjiiihhhfffgggiiijjjkkkjjjiiihhhggghhhiiiiiijjjjjjjjjjjjhhhdddaaaaaadddggghhhhhhhhhhhhhhhgggfffdddbbbaaabbbbbbaaa^^^[[[ZZZZZZ\\\]]]^^^^^^]]][[[YYYWWWVVVSSSRRRQQQOOOOOOOOOOOOPPPOOOQQQUUU[[[aaagggkkknnntttuuuxxx|||zzztttooollllllkkkkkkkkkjjjgggeeedddcccccccccgggggggggeeecccaaa^^^\\\]]]]]]]]]\\\[[[YYYXXXVVVXXXYYY[[[]]]___aaabbbbbbccchhhooovvv{{{}}}xxxtttoookkkfffaaa___]]][[[ZZZZZZYYYXXXXXXXXXWWWUUUSSSOOOLLLHHHDDDBBB???<<<999777555222000000000///...///...---,,,++++++++++++,,,+++)))((()))))))))(((***)))))))))(((((((((''')))((('''(((******)))'''(((((((((((('''''''''''')))(((((((((''''''''''''''''''''''''''''''''''''cccccccccddddddeeefffgggcccbbb``````aaaaaa```___[[[VVVPPPLLLMMMPPPTTTVVV]]]___``````]]]ZZZXXXWWWUUUSSSQQQQQQQQQQQQPPPOOONNNMMMKKKIIIHHHHHHHHHHHHKKKKKKLLLJJJGGGBBB===999333000---+++,,,,,,,,,,,,***)))((('''((()))***+++(((((()))******((('''&&&(((((((((((())))))))))))((((((((((((''''''''''''&&&''''''((((((''''''&&&$$$$$$%%%&&&'''(((((()))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((((((((('''''''''((((((((((((''''''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$######%%%&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%&&&'''''''''&&&%%%%%%&&&''''''%%%%%%&&&'''$$$$$$%%%%%%&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&******)))))))))*********000111222444666777999999::::::;;;;;;;;;;;;::::::888888888888888777666666666666666666666666666666;;;;;;<<>>>>>===:::888555555444333444555777888666777999;;;<<<>>>>>>>>>===>>>@@@BBBDDDEEEEEEEEEEEEFFFIIIKKKNNNPPPQQQRRRSSSSSSSSSSSSTTTVVVWWWXXX[[[[[[\\\]]]^^^aaaeeehhhmmmnnnpppssstttuuuuuuuuurrrsssuuuvvvwwwwwwwwwvvvvvvwwwwwwxxxxxxxxxwwwwwwvvvtttrrrqqqtttvvvwwwwwwyyyyyywwwuuurrrooolllkkkoooooonnnllljjjiiijjjkkkkkkkkkkkkjjjhhhfffcccbbb```^^^[[[XXXUUUSSSRRRQQQRRRUUUYYY^^^cccgggkkkllloooqqqtttzzz}}}uuuooolllkkkkkkkkkkkkjjjiiigggfffeeeeeeeeekkkkkklllllljjjfffcccaaa\\\]]]^^^___^^^\\\ZZZXXXZZZZZZ[[[[[[\\\]]]]]]]]]```ccciiinnnrrrvvvzzz|||~~~uuuqqqlllhhhdddaaa]]][[[ZZZYYYXXXXXXYYYYYYXXXWWWUUURRRNNNKKKIIIFFFCCCAAA<<<999555333111000---+++---,,,+++***************+++***(((((()))******)))))))))))))))(((((((((((()))(((((((((******((('''''''''''''''((((((((((((((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&kkkjjjjjjiiijjjkkklllmmmhhhfffccccccccccccbbbaaa]]]WWWQQQMMMMMMPPPTTTVVV^^^aaaccccccaaa___^^^^^^[[[ZZZXXXXXXXXXVVVSSSPPPMMMLLLIIIGGGEEEEEEEEEEEEIIILLLOOOPPPNNNIIICCC???<<<888333000///......---+++***)))((((((((()))***))))))*********)))((('''''''''(((((())))))******((((((((((((((('''''''''''''''((((((((((((''''''&&&&&&&&&&&&%%%%%%%%%%%%''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$"""###$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&###$$$&&&(((((('''&&&%%%%%%&&&'''&&&%%%$$$%%%'''###$$$$$$%%%&&&'''((((((&&&'''(((((()))(((((((((&&&&&&&&&&&&''''''''''''******)))))))))+++---...111222333444666777999999;;;;;;<<<<<<;;;:::999999888888999999999777666555666777888888888888999:::@@@AAACCCFFFLLLRRRXXX\\\___```bbbeeehhhjjjkkkkkkgggdddaaa``````___]]][[[YYYTTTOOOKKKKKKLLLLLLKKKJJJJJJJJJKKKNNNSSSXXX[[[\\\]]]^^^______]]]\\\[[[XXXWWWUUUUUUWWWYYY]]]___```aaaccccccaaa^^^[[[YYY[[[\\\\\\]]]\\\[[[YYYXXXZZZYYYXXXXXXXXXVVVRRROOOPPPOOOMMMLLLKKKKKKLLLLLLJJJHHHFFFDDDCCCBBB???<<<888999:::;;;;;;;;;;;;;;;===<<<<<<<<<;;;;;;:::999666666666666777999:::;;;:::;;;===???BBBDDDEEEFFFCCCFFFIIILLLNNNOOONNNMMMOOOPPPRRRUUUWWWYYY[[[[[[^^^^^^___```aaaccceeefffhhhiiijjjjjjkkkmmmqqqtttuuuvvvwwwyyyzzzzzzzzzzzzvvvwwwyyy{{{||||||}}}|||}}}~~~~~~~~~~~~~~~}}}|||{{{zzz{{{}}}~~~|||yyyvvvtttsssxxxyyyyyyxxxvvvuuuuuuwwwxxxxxxwwwvvvtttrrrooonnnmmmjjjgggbbb___\\\ZZZZZZ]]]___bbbfffjjjlllnnnnnnkkkllloootttzzz~~~zzzsssmmmkkkkkkkkkllljjjiiiiiihhhhhhhhhhhhhhhlllmmmoooooonnnjjjfffccc```aaacccddddddbbb```^^^``````___^^^^^^]]]]]]]]]^^^```dddgggiiimmmqqqttt{{{}}}|||yyytttooojjjddd^^^ZZZZZZXXXWWWXXXZZZ[[[ZZZYYYYYYVVVSSSPPPOOOMMMKKKIIIAAA>>>:::777444111---***,,,+++***)))))))))))))))+++)))((((((***+++***)))))))))))))))(((((((((((())))))((()))******(((&&&))))))))))))************((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&ppppppnnnnnnnnnoooqqqrrrmmmkkkhhhgggggggggeeeddd___ZZZSSSOOOOOORRRTTTVVV\\\^^^bbbdddcccccccccdddaaaaaaaaaaaa```^^^YYYUUUPPPMMMIIIEEECCCAAAAAAAAAFFFIIINNNRRRSSSOOOKKKGGGEEE@@@999444111///---,,,,,,+++***)))(((((()))******++++++*********))))))''''''(((((())))))******'''''''''((((((((((((((('''(((((((((((((((((('''++++++*********)))))))))''''''((())))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&(((((('''&&&&&&'''((((((&&&$$$######$$$%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&###$$$&&&(((((('''&&&%%%###%%%&&&%%%$$$###$$$%%%$$$$$$%%%&&&&&&'''((((((&&&'''(((((()))(((((((((&&&&&&&&&''''''(((((((((((((((((()))+++...000222333444444666777888999999:::;;;;;;::::::999888777777888999999999777666555333555777888999;;;???BBBHHHIIILLLQQQWWW^^^dddgggiiigggfffgggjjjlllkkkjjjdddbbb___^^^^^^___```aaa\\\XXXRRRNNNLLLLLLMMMMMMJJJIIIJJJKKKOOOTTTYYY\\\[[[[[[[[[[[[ZZZYYYXXXWWWUUUVVVXXX[[[]]]```bbbcccfffhhhjjjkkkjjjfffbbb```____________^^^]]][[[ZZZZZZXXXWWWVVVVVVTTTQQQNNNKKKJJJHHHFFFEEEEEEFFFFFFDDDBBB???>>>===<<<:::999777888888999999888888888:::;;;============<<<<<<======>>>>>>???@@@@@@AAA>>>???AAADDDGGGJJJMMMNNNPPPRRRVVVZZZ[[[[[[ZZZYYY[[[\\\^^^```bbbdddeeeeeeiiiiiijjjkkkmmmoooqqqrrrqqqrrrssssssssstttwwwyyyxxxxxxxxxxxxxxxxxxwwwwwwvvvwwwxxxyyy{{{{{{||||||}}}~~~~~~~~~}}}|||||||||}}}~~~}}}{{{yyyxxxwww|||~~~~~~}}}|||}}}~~~~~~~~~~~~}}}{{{yyyvvvuuutttrrrooollljjjhhhgggggggggiiimmmppprrrrrrqqqqqqmmmmmmnnnqqqtttvvvwwwvvvyyyuuunnnjjjiiijjjlllllliiiiiiiiijjjjjjjjjjjjjjjlllmmmooopppnnnkkkfffdddcccdddfffggggggfffeeedddfffeeecccaaa___^^^^^^]]]]]]___aaabbbdddfffjjjmmmuuuwww|||~~~zzzuuuooohhh```[[[ZZZXXXWWWXXXZZZ\\\\\\[[[\\\YYYVVVUUUTTTSSSQQQPPPKKKHHHDDD@@@<<<888444000111000///...---,,,,,,,,,+++)))((((((***+++***)))(((((((((((())))))))))))***)))((()))***)))(((&&&((()))))))))*********+++'''''''''(((((((((((((((''''''''''''''''''''''''tttsssqqqppppppqqqssstttqqqooolllkkkkkkkkkiiihhhccc^^^XXXTTTSSSTTTUUUUUUYYY\\\```ccccccdddeeefffddddddfffhhhhhhddd___[[[SSSOOOJJJEEEAAA@@@??????DDDHHHNNNRRRUUUTTTRRRPPPKKKFFF@@@:::555111...+++...---,,,***)))))))))***+++++++++***************(((((((((((())))))))))))'''''''''((((((((((((((('''(((((())))))(((((('''&&&'''((()))***++++++,,,'''((()))******)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%''''''((((((((((((''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&''''''%%%%%%%%%%%%''''''%%%$$$###""""""###$$$%%%'''%%%$$$###%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%&&&'''''''''&&&%%%###$$$%%%%%%######$$$%%%%%%%%%&&&&&&''''''(((((($$$%%%&&&&&&''''''&&&&&&&&&&&&&&&'''(((((())))))'''((())),,,...111444555666777777888999::::::;;;999999999999999888777777666666777777777777666666111444777999;;;@@@HHHNNNVVVWWWZZZ^^^cccgggkkkmmmmmmiiifffeeehhhjjjjjjiiibbbaaa^^^]]]]]]___bbbddd]]]ZZZUUUQQQNNNLLLLLLLLLKKKKKKLLLMMMPPPUUUXXX[[[ZZZYYYYYYXXXWWWWWWVVVVVVWWWYYY\\\___bbbeeefffgggmmmooorrrtttsssooojjjgggccccccbbbaaa___^^^\\\[[[WWWVVVTTTSSSRRRPPPNNNKKKDDDCCCAAA@@@?????????@@@===;;;999888999999888777888999::::::::::::999999<<>>888555444333111///...---,,,,,,+++***(((((()))******)))(((((((((((())))))))))))***)))((()))***)))'''%%%&&&&&&''''''(((((())))))'''''''''(((((((((((((((((((((((((((((((((((((((vvvtttrrrqqqqqqrrrtttvvvsssqqqnnnmmmmmmmmmllljjjfffbbb]]]YYYWWWVVVUUUTTTXXX[[[___bbbccccccdddeeebbbdddgggjjjkkkhhhbbb]]]TTTPPPKKKFFFBBB@@@@@@@@@DDDGGGKKKPPPSSSTTTUUUTTTQQQMMMGGGBBB===888444000000///---+++*********+++++++++***)))))))))))))))))))))))))))((((((((((((''''''''''''((((((((()))(((((())))))))))))((((((###$$$$$$%%%&&&'''((()))'''((()))******)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&$$$######$$$&&&'''###"""!!! !!!"""###(((&&&%%%$$$%%%&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&%%%$$$$$$%%%&&&&&&&&&&&&'''''''''''''''$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&'''((()))))))))***+++...000222444555666888888888999999::::::;;;888999999999999999888777444444444444555666777888444777:::===AAAJJJUUU^^^fffgggiiilllmmmnnnooooookkkeee___]]]```ddddddcccaaa```^^^\\\[[[\\\___bbb^^^]]]YYYUUUQQQNNNMMMMMMMMMMMMNNNPPPRRRUUUWWWYYYXXXWWWWWWWWWWWWXXXYYYZZZ______```aaaccceeehhhiiipppssswwwyyyxxxtttoookkkeeedddbbb___\\\YYYWWWVVVPPPNNNLLLJJJIIIHHHEEECCC===<<<:::999999999:::::::::888777777999;;;;;;;;;===>>>???@@@@@@@@@@@@@@@DDDGGGKKKLLLKKKJJJKKKLLLHHHHHHJJJKKKLLLMMMMMMNNNQQQRRRTTTWWW\\\```dddgggnnnppprrrtttvvvvvvuuutttrrrrrrssstttuuuuuuuuuuuuwwwwwwxxxxxxzzz{{{}}}}}}zzz{{{{{{zzzxxxvvvwwwxxxuuuuuutttsssrrrrrrrrrrrrssssssrrrsssssstttuuuuuuuuuvvvxxxyyy{{{{{{||||||zzz{{{{{{yyyuuusssssstttsssrrrqqqpppoooppppppqqquuuwwwzzz{{{zzzzzz{{{|||yyyyyyzzzzzzyyyxxxvvvuuusssrrrrrrqqqrrrssstttuuuxxx{{{|||zzzxxxwwwxxxxxxwwwvvvpppmmmjjjiiijjjjjjjjjiiijjjlllnnnpppqqqrrrrrrrrrppppppppppppooommmkkkiiicccccccccdddeeeggghhhiiiiiigggddd```]]][[[[[[[[[\\\^^^____________```aaaeeeiiioootttxxx||||||zzzyyyyyyyyyyyyzzzxxxrrrkkkfff```]]][[[[[[]]]````````````^^^\\\[[[\\\\\\[[[ZZZSSSQQQNNNJJJGGGCCC>>>:::888666444111///---,,,+++,,,+++)))((()))))))))((('''((((((((()))))))))***+++***))))))))))))'''%%%&&&&&&&&&'''((()))))))))''''''''''''((((((((()))''''''''''''''''''''''''vvvuuurrrqqqqqqrrrtttvvvsssqqqooonnnnnnnnnmmmkkkhhheee```\\\YYYXXXUUUTTTYYY\\\```bbbbbbbbbbbbccc```bbbfffjjjkkkhhhbbb]]]TTTPPPKKKFFFBBBAAAAAABBBCCCEEEHHHLLLOOORRRSSSTTTVVVRRRNNNIIIEEE@@@;;;777222000...,,,++++++++++++******)))(((((((((((((((******))))))((((((''''''&&&'''''''''(((((())))))(((((())))))))))))(((((())))))(((((((((''''''''''''((()))++++++)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''###$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%###""""""###%%%&&&((('''%%%$$$$$$%%%'''((()))'''%%%%%%&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&'''(((%%%&&&''''''%%%%%%&&&''''''''''''''''''&&&&&&&&&&&&'''(((((())))))((((((&&&&&&&&&'''((())))))***---///111444555666666666777777777888888999999999888999999::::::999999999444333333333444666777999999<<<@@@CCCHHHSSSaaalllrrrssstttuuutttrrrpppnnnfff___WWWUUUXXX\\\^^^]]]```___]]][[[YYYYYY\\\^^^aaa```^^^YYYTTTQQQOOOOOONNNOOOPPPRRRTTTUUUVVVWWWWWWVVVVVVWWWYYY[[[^^^___fffeeecccaaabbbeeehhhjjjpppssswwwzzzyyyuuuoookkkdddbbb___[[[WWWSSSPPPOOOHHHFFFCCCBBBAAA???===;;;888777666555555555666777;;;999888:::<<>>???BBBHHHNNNUUU^^^ggglllzzz{{{{{{zzzvvvoooiiieeeZZZVVVRRRRRRUUUYYYZZZZZZ^^^\\\YYYUUUSSSTTTXXX[[[^^^]]]\\\YYYVVVSSSPPPOOOOOOOOOOOOQQQSSSTTTTTTSSSRRRTTTXXX\\\___aaabbbbbbdddbbbaaaaaadddggghhhhhhmmmnnnoooppppppmmmiiieee]]]XXXSSSOOOMMMKKKGGGDDD???>>><<<;;;:::999777666777666555666999<<<>>>>>>AAAAAABBBCCCDDDEEEFFFGGGJJJLLLNNNQQQSSSTTTUUUUUUXXXZZZ]]]```bbbccccccbbbddddddddddddeeeggghhhiiikkkllloooqqqssstttttttttvvvwwwyyy{{{||||||{{{{{{xxxxxxyyyzzz{{{|||}}}~~~zzzzzz{{{}}}~~~~~~~~~~~~~~~}}}|||zzzxxxvvvuuutttvvvuuusssqqqppppppqqqqqqnnnnnnnnnnnnnnnoooppppppsssrrrrrrqqqqqqrrrrrrsssvvvvvvuuutttrrrooollljjjjjjiiigggfffeeeeeefffggglllmmmoooppprrrsssssssssrrrrrrqqqooonnnmmmlllkkklllkkkkkkmmmoooppppppooorrrtttxxx~~~xxxxxxyyyzzzzzzyyywwwwwwtttrrrooommmllllllmmmmmmmmmmmmnnnoooqqqtttvvvwwwtttttttttttttttsssrrrrrriiihhhfffeeefffgggiiijjjlllkkkjjjfffbbb^^^]]]]]]]]]^^^___```````````````dddddddddeeefffiiikkklllrrrrrrqqqpppnnnllliiihhhiiikkkooosssttttttrrrqqqlllgggaaa```bbbdddbbb___bbb```^^^```dddggggggeee]]][[[YYYWWWUUUQQQLLLHHHIIIGGGCCC>>>999666333111000///...,,,+++************)))))))))((((((((('''******))))))((((((''''''*********)))((((((''''''******))))))((((((''''''%%%%%%%%%&&&&&&&&&&&&'''zzzwwwtttrrrqqqqqqooonnnjjjiiiggghhhiiikkkkkkjjjiiiiiihhhfffeeedddbbbbbbbbbaaa``````bbbbbbaaa```______```aaabbbaaaaaa```XXXWWWSSSOOOKKKGGGDDDCCCEEEFFFHHHIIIJJJLLLPPPSSSTTTTTTVVVWWWWWWSSSMMMIIIAAA===777333111000///...+++***)))***++++++)))'''***)))))))))(((((((((((()))))))))))))))(((''''''((())))))))))))))))))(((&&&((()))((('''&&&'''(((&&&'''''''''((((((((((((***))))))(((''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''######&&&%%%###&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((((((((((()))***)))''''''''')))((((((((()))***,,,...000444444555666777888888999;;;;;;:::::::::999999999999999999999888777666555333444555555777<<>>999999888888999:::999888888888888:::>>>AAADDDEEEJJJLLLMMMOOOPPPPPPPPPOOOSSSTTTWWWZZZ]]]^^^______bbbccceeehhhiiijjjjjjjjjiiiiiiiiijjjkkkmmmnnnoooppprrrtttvvvxxxyyyyyyxxxwwwxxxzzz{{{||||||||||||xxxxxxyyyzzzzzz{{{||||||zzz{{{|||}}}}}}~~~}}}}}}}}}}}}|||{{{yyyxxxwwwwwwvvvuuusssrrrqqqqqqqqqrrrmmmmmmmmmmmmmmmnnnoooooosssssssssssssssssssssssstttttttttrrrpppnnnkkkiiiiiihhhfffeeeeeeeeeffffffmmmnnnoooqqqrrrsssssssssrrrqqqpppooommmkkkjjjjjjkkkjjjiiikkkmmmnnnnnnmmmnnnooossswww{{{}}}{{{yyyqqqrrrssstttttttttsssrrrppppppooonnnnnnnnnooopppmmmmmmnnnooopppqqqssstttssssssttttttttttttsssssskkkjjjhhhgggggghhhiiikkkkkklllkkkiiiddd```___^^^^^^^^^^^^______```aaaaaaaaaaaaaaaaaabbbdddfffgggjjjjjjjjjiiihhhfffdddccceeegggkkkoooqqqrrrrrrqqqqqqlllhhhgggiiijjjfffcccccc```^^^^^^___``````^^^___\\\YYYWWWUUUTTTQQQOOOMMMKKKHHHCCC>>>:::666444000///...,,,***)))))))))******************))))))***)))))))))((((((((('''&&&''''''((())))))*********)))))))))((((((((('''((((((((()))))))))******{{{yyyvvvuuusssqqqnnnkkkeeedddccccccfffhhhiiihhhiiijjjkkkllllllkkkjjjiiifffdddccccccddddddbbbaaa^^^^^^^^^^^^^^^___```aaaZZZYYYWWWUUUQQQNNNKKKJJJIIIIIIJJJJJJIIIJJJMMMPPPPPPPPPQQQTTTVVVVVVSSSQQQKKKEEE>>>888444222111000---,,,++++++,,,,,,+++)))******)))))))))((((((((())))))******))))))((((((''''''((((((((((((''''''&&&'''((('''&&&%%%&&&(((((()))))))))))))))******)))))))))(((''''''&&&&&&'''((()))******)))((('''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&''''''(((&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%""" ###%%%$$$###&&&%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((((((((***+++,,,+++)))((()))***))))))***+++---///111222777777777777777777888888:::::::::999999999999999:::999999888777555555444333444666999===DDDLLLRRRWWWYYY[[[\\\^^^bbbgggkkkmmmnnnooommmhhh___WWWQQQQQQNNNLLLLLLNNNQQQSSSTTTTTTUUUVVVUUUTTTTTTVVVXXXYYYXXXVVVSSSQQQNNNLLLJJJGGGIIIKKKMMMOOOPPPQQQRRRZZZ\\\___bbbdddeeeeeedddfffccc```^^^___``````___```^^^[[[XXXVVVTTTPPPMMMJJJGGGCCC@@@???===;;;999888888999:::;;;<<<=========>>>@@@CCCGGGLLLOOORRRXXXZZZ]]]``````^^^\\\ZZZ___```cccfffiiijjjkkkkkkkkklllmmmnnnoooppppppqqqmmmmmmmmmoooppprrrssstttuuuvvvxxxzzz{{{|||{{{{{{xxxxxxyyyzzz{{{|||}}}}}}yyyyyyyyyyyyzzzzzz{{{{{{||||||}}}}}}}}}}}}|||||||||||||||{{{{{{zzzzzzyyyvvvuuutttsssrrrrrrssssssooooooooonnnoooppppppqqqssstttuuuvvvvvvuuutttssssssssssssrrrpppmmmkkkiiiiiihhhgggfffeeefffggghhhnnnooopppqqqrrrsssssssssqqqpppooommmkkkjjjhhhhhhhhhgggggghhhjjjkkkjjjiiihhhiiijjjnnnpppqqqooommmiiijjjlllnnnooopppoooooollllllnnnooopppqqqqqqqqqnnnnnnmmmnnnnnnooopppqqqrrrssstttuuuuuuuuutttsssnnnllljjjiiihhhiiijjjkkkkkkmmmnnnmmmiiieeebbbaaa___^^^]]]]]]^^^___aaaccc___^^^^^^______aaabbbccccccccccccccccccbbb``````aaacccgggkkknnnpppqqqrrrssspppooooooqqqppplllhhheeebbb^^^\\\\\\\\\\\\[[[```]]]YYYWWWWWWXXXXXXXXXSSSRRROOOKKKEEE@@@;;;888333222000...,,,+++***)))++++++++++++++++++,,,,,,))))))))))))((((((((((((&&&&&&''''''((()))))))))))))))))))))((((((((((((&&&&&&&&&''''''''''''(((~~~|||yyyvvvqqqlllhhhcccaaa___```ccceeegggggggggiiilllooopppqqqpppoookkkiiiggggggggggggeeedddaaa```^^^\\\\\\\\\^^^^^^[[[[[[ZZZYYYWWWUUUSSSRRRMMMNNNMMMKKKIIIIIIKKKLLLMMMLLLMMMOOOSSSUUUUUUTTTPPPLLLEEE???;;;777444111///---,,,,,,,,,---,,,************)))))))))(((((())))))*********))))))(((''''''((((((((((((''''''&&&'''((((((&&&&&&'''((())))))))))))))))))))))))))))))(((((('''''''''''''''(((***++++++***(((''''''''''''(((((((((((((((''''''&&&&&&&&&&&&''''''$$$######""""""######$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%###!!!!!!$$$%%%%%%$$$&&&%%%$$$###"""###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((((((((***+++,,,+++)))))))))******+++,,,...111333555666888888888888888888888888999999999999999888888888999888777666555555444444333666:::>>>EEENNNWWW]]]aaaaaaaaa___^^^___aaadddcccccccccaaa\\\VVVPPPLLLMMMKKKJJJJJJKKKNNNPPPQQQRRRTTTVVVVVVTTTSSSSSSTTTSSSRRRPPPNNNLLLJJJIIIHHHHHHJJJMMMPPPQQQSSSUUUVVV\\\^^^aaadddffffffffffffbbb___\\\[[[\\\^^^^^^^^^ZZZVVVQQQMMMJJJGGGEEECCCAAA???===;;;::::::999999<<<===???@@@AAACCCEEEFFFGGGJJJNNNRRRVVV[[[___bbbgggjjjmmmooonnnkkkfffccchhhiiikkknnnooopppppppppnnnnnnnnnnnnooopppqqqqqqllllllmmmnnnppprrrtttuuuvvvwwwyyy{{{{{{{{{{{{zzzxxxxxxxxxxxxyyyzzz{{{|||zzzzzzzzzzzz{{{{{{{{{{{{|||}}}}}}}}}}}}||||||{{{}}}||||||{{{zzzyyyxxxxxxvvvuuuuuuuuuttttttuuuuuussssssssssssssstttuuuuuutttuuuwwwxxxxxxwwwuuuttttttttttttsssqqqooommmlllkkkjjjiiihhhhhhiiijjjkkkqqqqqqrrrsssttttttssssssqqqpppooommmjjjhhhgggffffffeeedddeeefffgggfffeeedddcccccceeefffgggeeecccccceeegggjjjlllmmmmmmmmmhhhjjjlllnnnppppppooonnnlllllllllmmmnnnooopppqqquuuvvvwwwwwwwwwuuutttrrrooommmkkkiiihhhhhhiiijjjkkknnnqqqqqqnnnjjjfffdddaaa___]]][[[\\\^^^aaaccc``````aaaaaaaaabbbbbbcccbbbbbbbbbbbbbbbbbbaaaaaabbbdddfffiiimmmoooqqqrrrpppppppppsssuuutttqqqmmmiiifffccc___^^^]]]]]]]]]^^^\\\ZZZZZZ[[[]]]]]]\\\XXXWWWUUUQQQLLLFFF@@@===888777555222000...---,,,++++++++++++,,,,,,,,,,,,))))))))))))(((((((((((())))))(((((('''&&&&&&&&&))))))))))))((((((((((((%%%%%%%%%&&&&&&&&&''''''}}}xxxrrrjjjeeeaaa___]]]]]]___bbbcccdddfffhhhlllooorrrsssssssssnnnlllkkkkkkllllllkkkiiihhheeebbb^^^[[[ZZZ[[[[[[[[[[[[[[[[[[[[[ZZZZZZYYYSSSSSSQQQNNNKKKJJJJJJLLLPPPOOONNNOOORRRTTTTTTTTTPPPNNNKKKGGGCCC>>>777333222000---,,,,,,,,,+++***************))))))))))))))))))************)))))))))))))))******)))))))))'''((())))))((('''((()))((((((((((((((((((((((((((((((((((((''''''''''''&&&''')))******)))'''&&&'''''''''((((((((())))))&&&&&&%%%%%%%%%%%%&&&&&&$$$######""""""######$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$%%%&&&&&&%%%%%%$$$###"""###$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((((((((()))***++++++))))))***+++---...000222444666888888777777888888999999::::::888888888888888888888888777666666555555666777777777;;;@@@FFFNNNWWW```fffiiihhheeeaaa]]][[[\\\]]][[[ZZZYYYVVVSSSQQQOOONNNKKKKKKJJJJJJJJJKKKNNNOOORRRTTTUUUUUURRROOONNNMMMLLLKKKJJJIIIHHHHHHHHHHHHJJJMMMQQQSSSTTTUUUXXXZZZ\\\^^^aaaccceeeeeeeeeddd___\\\YYYWWWXXXXXXXXXXXXQQQMMMGGGBBB@@@>>>===<<<::::::999999999999;;;===???BBBFFFIIIKKKNNNRRRUUUVVV[[[bbbgggjjjmmmppprrrwwwxxxzzzzzzxxxsssnnnkkkkkklllmmmooopppoooooonnnnnnnnnmmmmmmnnnoooooopppllllllmmmnnnoooqqqssstttwwwxxxzzz{{{||||||{{{{{{xxxwwwvvvuuuuuuwwwxxxyyy{{{{{{{{{{{{{{{{{{|||||||||}}}}}}}}}}}}||||||{{{~~~}}}|||zzzxxxwwwuuuuuuuuuvvvvvvvvvwwwwwwvvvvvvvvvuuuuuuuuuuuuvvvwwwwwwvvvwwwyyyzzzzzzyyywwwvvvvvvvvvwwwvvvuuusssqqqpppnnnmmmmmmlllmmmnnnpppqqqttttttuuuuuuuuuuuuuuutttrrrqqqpppmmmkkkhhhfffeeeeeedddccccccdddeeecccbbbbbb```____________^^^\\\]]]___bbbeeehhhiiijjjjjjggghhhkkkmmmmmmlllkkkjjjjjjjjjkkklllnnnppprrrssswwwxxxyyyyyyxxxuuurrrqqqnnnmmmjjjhhhggghhhiiijjjmmmppptttuuusssoookkkjjjdddaaa^^^\\\\\\^^^aaaccceeeeeeffffffggggggggggggdddccccccbbbbbbbbbbbbbbbeeefffhhhkkkmmmooopppqqqlllnnnpppsssuuuvvvuuutttpppnnnjjjeeeaaa^^^]]]]]]\\\\\\\\\^^^```aaa___^^^]]]\\\ZZZVVVQQQKKKEEEBBB===;;;888555222000...---++++++++++++++++++++++++(((((((((((()))))))))))))))))))))(((''''''&&&&&&(((((((((((())))))))))))))))))))))))************|||uuunnniiieeebbb^^^]]]___aaabbbbbbfffhhhkkknnnqqqsssttttttnnnmmmlllmmmooopppooonnnnnnlllgggbbb]]][[[YYYYYYZZZZZZZZZ[[[\\\]]]___```[[[ZZZXXXTTTPPPNNNNNNOOOQQQOOOMMMMMMNNNOOONNNMMMMMMMMMLLLKKKIIIDDD===888777444000......---,,,+++++++++*********)))))))))))))))******++++++************++++++++++++******((()))***)))((('''(((***((((((''''''''''''&&&&&&((((((((((((((((((''''''&&&'''((())))))((('''&&&$$$$$$%%%%%%&&&'''''''''%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((((((((((((***++++++******,,,---000111333555777999::::::777777777888999999999:::777777777777777888888888666666666777888;;;===>>>???CCCJJJQQQXXX```ggglllmmmlllhhhccc]]]ZZZZZZ[[[WWWWWWVVVTTTSSSRRRRRRQQQKKKLLLLLLJJJIIIIIIKKKMMMOOOQQQRRRQQQNNNKKKIIIHHHFFFFFFEEEFFFGGGIIIKKKMMMMMMQQQUUUWWWWWWXXX[[[^^^___```bbbccccccbbbaaa```^^^ZZZVVVRRRPPPOOOMMMLLLHHHDDD???;;;::::::999888777888:::;;;<<<>>>BBBEEEEEEJJJPPPTTTWWW\\\bbbgggiiipppyyy{{{vvvrrroooiiijjjlllmmmmmmmmmllllllnnnooooooppppppqqqqqqqqqooooooooopppqqqrrrssstttxxxyyy{{{}}}~~~~~~~~~~~~zzzxxxuuusssrrrtttvvvwwwzzzzzzzzz{{{{{{{{{||||||||||||}}}}}}}}}}}}||||||~~~}}}|||zzzxxxvvvtttsssuuuvvvwwwxxxyyyyyyxxxxxxvvvvvvuuuuuuvvvvvvwwwxxxyyyzzz{{{{{{{{{{{{zzzyyyyyyzzzzzzzzzyyyxxxvvvuuuqqqpppppppppqqqssstttuuuwwwwwwxxxxxxxxxwwwvvvvvvuuutttrrrooollliiigggfffeeedddbbbbbbccccccbbb```aaa___]]][[[[[[[[[ZZZYYYXXXZZZ]]]aaaccceeeffffffggghhhjjjkkkkkkjjjhhhggggggggghhhjjjllloooqqqrrrvvvwwwxxxyyywwwtttqqqooommmllljjjhhhhhhhhhjjjkkkooorrrvvvxxxvvvsssqqqoooiiifffccc```___```bbbdddggghhhiiijjjkkklllkkkkkkeeedddcccaaa```_________dddfffhhhkkknnnooooooooolllmmmnnnpppsssuuuwwwxxxvvvuuurrrllleee```^^^]]]]]]]]]___bbbddddddaaa___aaa```^^^ZZZUUUPPPLLLIII@@@>>>;;;888444111///...,,,,,,,,,+++++++++******(((((((((((())))))))))))''''''(((((()))*********(((((((((((())))))))))))(((((((((((())))))))))))yyyuuunnnkkkfffddddddeeeffffffggghhhjjjmmmooorrrtttuuulllkkkkkkmmmppprrrrrrrrrrrrpppkkkfffaaa]]][[[ZZZYYYXXXXXXYYY[[[^^^bbbdddcccbbb```[[[WWWTTTTTTTTTQQQOOOMMMLLLLLLLLLJJJHHHKKKJJJJJJKKKKKKHHHCCC@@@<<<999444111000///---,,,+++++++++*********))))))((()))***++++++++++++*********++++++++++++******'''((())))))''''''((()))(((((((((''''''&&&&&&&&&'''((((((((((((((((((((((((((((((((((((((((((((($$$$$$%%%%%%&&&''''''(((&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""$$$%%%''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&%%%%%%%%%&&&$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((((((((((((***+++,,,,,,---///111333444666888::::::;;;:::888888888888888777777777666666666777777777888888777777888:::===AAAEEEGGGHHHNNNUUU\\\bbbhhhlllooommmlllhhhbbb\\\XXXWWWXXXWWWXXXZZZZZZZZZXXXUUUTTTKKKLLLLLLKKKHHHGGGHHHKKKIIIKKKLLLLLLIIIGGGEEEEEECCCCCCDDDFFFIIIMMMQQQSSSSSSWWW\\\]]]\\\\\\___cccddddddeeedddbbb___\\\ZZZXXXTTTOOOKKKIIIGGGEEECCCDDD@@@===:::;;;;;;;;;;;;:::===@@@CCCEEEIIINNNSSSUUUZZZ```dddeeeiiioootttzzz{{{uuuqqqnnnlllfffgggiiikkkmmmmmmmmmmmmnnnoooqqqsssssstttssssssrrrqqqqqqqqqqqqrrrssstttwwwyyy{{{}}}}}}zzzvvvsssqqqrrrtttvvvwwwwwwxxxxxxyyyzzz{{{{{{zzz{{{|||}}}}}}~~~}}}}}}~~~}}}|||zzzyyywwwvvvvvvuuuvvvxxxyyyzzzzzzzzzyyyxxxwwwwwwwwwwwwxxxyyyyyy||||||||||||||||||||||||{{{{{{|||||||||zzzyyyxxxrrrrrrrrrrrrsssuuuwwwxxxzzzzzzzzzzzzzzzyyyxxxxxxwwwvvvtttqqqnnnkkkhhhgggfffeeeccccccccccccbbb```aaa^^^[[[YYYYYYYYYYYYXXXXXXZZZ]]]```cccdddeeeeeeggggggiiijjjjjjjjjiiihhhfffffffffgggiiikkklllmmmppprrrtttvvvuuusssqqqooonnnlllkkkiiiiiijjjlllmmmqqqtttxxxyyyxxxvvvuuutttooollliiifffddddddeeeffffffgggiiikkkllllllllllllhhhfffdddaaa___]]]]]]]]]^^^aaaeeejjjmmmnnnnnnmmmkkkkkkjjjjjjkkknnnsssvvvwwwxxxxxxtttnnniiigggfffcccbbbbbbccceeeeeedddccceeedddaaa]]]YYYUUURRRPPPFFFDDDAAA===999666333222///......---,,,+++******'''((((((((()))))))))***(((((())))))***+++++++++'''((((((((()))))))))***&&&&&&&&&&&&''''''''''''xxxtttoookkkkkkkkklllllliiijjjjjjlllnnnqqqtttuuuiiiiiijjjlllpppssstttssstttqqqnnniiiddd```]]][[[XXXWWWVVVWWWZZZ^^^cccfffhhhgggeee```[[[XXXXXXYYYVVVTTTRRRQQQQQQPPPMMMKKKJJJIIIHHHIIIJJJJJJHHHFFF@@@===888444222000///---+++++++++************)))((()))***+++++++++++++++******++++++++++++******&&&'''((('''&&&&&&'''((())))))(((((('''''''''&&&'''''''''((((((((((((((())))))(((((((((((())))))&&&&&&''''''((()))******'''''''''&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%%%%$$$$$$$$$%%%###$$$&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((((()))(((***,,,......///111333555666888:::;;;;;;;;;;;;::::::999888777555555444555666666666777777888888888888:::<<>>===>>>???@@@@@@@@@CCCHHHKKKNNNRRRYYY^^^fffkkkoooqqqpppqqqvvvzzz|||tttnnnjjjhhhgggdddeeehhhkkkmmmoooppppppnnnooorrrtttuuuuuutttsssrrrrrrqqqqqqqqqqqqrrrrrruuuwwwyyy|||~~~|||xxxsssqqqrrrtttvvvtttuuuuuuwwwxxxyyyzzzzzzzzzzzz|||}}}~~~~~~~~~~~~}}}||||||{{{zzzzzzyyyyyyuuuvvvxxxzzz{{{{{{zzzzzz{{{zzzzzzzzzzzz{{{||||||}}}}}}||||||||||||}}}}}}||||||}}}}}}}}}|||zzzyyysssrrrrrrssstttvvvxxxyyy||||||||||||{{{zzzyyyyyyyyyxxxuuurrrooollliiihhhgggeeedddcccdddcccbbb```aaa^^^ZZZXXXXXXXXXXXXWWWZZZ\\\___bbbeeefffggggggfffggghhhiiijjjkkkkkkkkkeeeeeeeeeffffffggghhhiiikkkmmmpppssstttssspppooonnnmmmlllkkkkkklllnnnooorrruuuyyyzzzyyyxxxwwwwwwsssqqqnnnkkkhhhgggggggggccceeegggiiikkkkkkkkkkkkkkkiiieeebbb___]]]\\\\\\YYY\\\bbbgggkkkmmmmmmllljjjhhhfffddddddgggmmmqqquuuxxx{{{zzzwwwssssssssshhhfffdddccceeefffgggggghhhfffccc___[[[XXXVVVUUULLLJJJGGGCCC???;;;999777111111000...---,,,+++***'''((((((((())))))******,,,,,,++++++***)))))))))'''((((((((())))))******))))))))))))************zzzvvvtttttttttsssqqqooonnnpppsssttttttpppooonnnooorrrttttttssstttsssppplllgggbbb^^^\\\\\\[[[ZZZXXXYYY\\\bbbggggggjjjjjjgggdddccc___ZZZ]]]YYYTTTQQQOOONNNLLLKKKHHHGGGFFFGGGIIILLLMMMMMMGGGBBB<<<777444222000...000...+++******)))(((&&&,,,,,,,,,,,,+++)))(((''')))))))))))))))(((((('''******++++++++++++******))))))))))))))))))))))))%%%''')))(((&&&%%%&&&))),,,)))&&&&&&((()))'''%%%))))))((('''&&&%%%%%%$$$''''''&&&&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######%%%&&&(((###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''''')))(((&&&$$$""" %%%'''(((''''''''')))+++---......///111333555777999999999888888888888777:::999888666666666777777555555555555555555555555:::::::::===CCCKKKSSSWWW^^^```dddhhhlllkkkhhheeebbb```\\\XXXUUUTTTTTTUUU[[[aaafffgggfffddd^^^XXXSSSOOOKKKJJJGGGCCCCCCEEEFFFFFFEEEEEEEEEEEEFFFFFFJJJIIIIIIKKKPPPTTTWWWXXX___```cccfffiiikkkllllllkkkgggbbb^^^[[[VVVOOOJJJEEEEEEDDDAAA>>>===>>>@@@BBBBBBBBBCCCEEEHHHKKKLLLNNNPPPTTTZZZbbbiiipppsss}}}|||wwwvvvzzz~~~|||tttmmmjjjhhhgggffffffgggjjjmmmoooooonnnnnnppprrrsssuuuuuutttrrrqqqxxxwwwvvvuuutttssssssrrrwwwwwwyyyzzz|||}}}~~~|||zzzwwwsssqqqooonnnnnnuuuuuuvvvwwwwwwxxxxxxyyyxxxyyy{{{}}}~~~~~~}}}|||{{{{{{|||||||||zzzyyyxxxwwwwwwxxxyyy{{{}}}~~~}}}~~~}}}}}}|||||||||}}}~~~|||zzzyyywwwvvvuuutttuuuxxx{{{}}}}}}}}}}}}}}}}}}}}}}}}}}}{{{yyywwwsssoookkkiiigggdddddddddccccccbbbbbbaaa___^^^\\\ZZZYYYWWWWWWWWW\\\\\\^^^```bbbeeehhhiiilllkkkkkkjjjjjjkkkkkkllljjjiiigggfffeeeeeeffffffjjjjjjjjjjjjkkklllmmmnnnkkklllnnnppprrrrrrrrrqqqqqqqqqssstttvvvvvvwwwwwwxxxuuuqqqnnnmmmllljjjhhhiiifffbbbaaacccgggiiijjjiiihhhfffdddbbb```___^^^```aaaaaabbbcccdddeeeeeeeeeeeedddddddddeeefffgggpppssswwwyyyzzz{{{|||}}}vvvtttoooiiidddcccfffhhhdddddddddbbb```\\\YYYVVVVVVUUUTTTPPPJJJDDD>>>:::444333000...,,,,,,---...+++***)))((()))***---...''''''''''''((()))***+++(((((((((((((((((((((((())))))))))))))))))))))))|||yyytttqqqqqqrrrssstttpppnnnmmmmmmoooqqqrrrrrruuutttrrrooolllhhheeedddbbbaaa^^^\\\[[[^^^cccggglllppprrrooollljjjeee______[[[VVVRRROOONNNLLLJJJGGGFFFDDDEEEHHHKKKLLLLLLIIIFFFBBB>>>;;;888444111111///,,,+++++++++)))(((++++++******))))))(((((()))))))))))))))((((((''''''(((((())))))(((((('''((((((((((((((((((((((((%%%''')))(((&&&%%%&&&(((***'''%%%%%%'''(((&&&$$$((((((((('''&&&&&&%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%#########%%%'''((($$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''''''''&&&%%%%%%$$$######&&&'''((((((((()))+++------...///111333555666777999999999888888888888777888888777777777777888888666666666777777777777777999:::===AAAHHHPPPWWW[[[cccdddeeehhhiiigggdddaaaZZZXXXUUURRRQQQQQQRRRSSSYYY___bbbbbbcccdddaaa\\\VVVPPPLLLJJJFFFAAAAAADDD@@@AAACCCEEEHHHKKKMMMNNNPPPOOONNNPPPTTTXXXZZZ[[[\\\^^^aaadddgggiiijjjjjjkkkfff___ZZZUUUPPPIIIEEE>>>???@@@@@@AAABBBEEEHHHJJJJJJKKKNNNQQQTTTWWWYYY^^^___ccchhhooovvv|||yyyxxx{{{~~~zzzsssnnnkkkjjjiiihhhhhhiiikkknnnooopppppppppppprrrtttvvvwwwvvvvvvuuuwwwwwwvvvvvvuuutttsssssstttuuuwwwyyy{{{}}}~~~~~~|||yyyvvvtttrrrqqqqqqrrrsssssstttvvvwwwwwwxxxyyy{{{}}}~~~~~~}}}}}}~~~|||{{{yyyyyyyyy{{{~~~}}}zzzvvvrrrnnnkkkiiifffeeeeeeddddddccccccccc```___]]]\\\ZZZYYYXXXXXXZZZ[[[\\\^^^aaadddfffhhhiiiiiiiiiiiiiiiiiiiiiiiijjjiiihhhffffffffffffggggggggggggggghhhiiijjjkkkiiijjjlllnnnooopppqqqqqqrrrssstttuuuuuuuuuuuuuuuuuurrrooommmmmmmmmkkkjjjhhheeecccccceeehhhjjjjjjiiihhhgggeeecccaaa___^^^]]]]]]^^^___```aaabbbbbbcccbbbaaaaaabbbdddfffhhhlllooorrruuuvvvxxxzzz}}}vvvtttpppjjjeeebbbccceeedddddddddcccaaa^^^[[[YYYVVVVVVUUUSSSNNNIIIDDDAAA777666333000...------...,,,+++***((((((((()))*********))))))((()))))))))(((((((((((((((((((((((())))))))))))))))))))))))zzzxxxwwwvvvvvvsssppplllkkklllnnnppppppttttttsssrrrpppooonnnnnniiihhheeeaaa___```dddhhhoootttxxxwwwuuurrrllleeeccc^^^YYYTTTQQQNNNLLLJJJHHHFFFEEEFFFIIILLLMMMMMMLLLKKKIIIGGGEEE@@@;;;666333111...,,,,,,,,,+++***,,,+++***))))))***+++,,,))))))******))))))((('''&&&''''''((((((''''''&&&((((((((((((((((((((((((&&&'''((('''&&&&&&'''((('''&&&%%%%%%&&&'''&&&$$$''''''''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&%%%%%%%%%###$$$$$$$$$$$$###""""""$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$########################$$$$$$######$$$&&&''')))$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&'''''''''((((((&&&((()))))))))***,,,...---///222444666888888888999999999888888888888777666777777888888888888777777777777888888999999999:::===BBBIIIPPPXXX^^^aaafffeeeccccccbbb___\\\YYYQQQOOOMMMLLLLLLNNNPPPRRRWWW[[[]]]]]]^^^bbbbbb___XXXQQQKKKHHHDDD???@@@CCC@@@BBBFFFKKKPPPTTTWWWYYYWWWUUUTTTUUUXXX[[[\\\\\\YYY[[[]]]```cccddddddddd___ZZZSSSMMMIIIEEEAAA>>>;;;===AAACCCFFFJJJNNNQQQTTTUUUXXX\\\```eeehhhkkkqqqrrrtttxxx|||~~~wwwuuuwwwzzz|||xxxsssooonnnmmmmmmlllllllllmmmnnnpppqqqrrrrrrqqqsssuuuwwwxxxyyyxxxxxxvvvvvvvvvuuuuuutttttttttrrrsssuuuwwwzzz}}}~~~~~~{{{xxxvvvttttttttttttuuuvvvwwwyyyzzz{{{|||zzz|||{{{vvvqqqmmmkkkhhhhhhggggggfffeeeeeedddbbbaaa```^^^\\\[[[YYYYYYZZZZZZ\\\^^^aaadddfffhhhggghhhiiijjjjjjiiihhhgggjjjiiihhhgggffffffffffffddddddddddddeeefffgggggggggggghhhiiikkkmmmooopppssssssttttttttttttssssssrrrpppnnnmmmnnnnnnmmmlllgggeeedddfffhhhjjjjjjjjjhhhhhhhhhgggeeebbb___^^^[[[\\\]]]^^^___````````````___]]]]]]___bbbfffiiiiiikkkmmmnnnpppssswwwzzzuuutttqqqlllfffbbbaaaaaaccccccccccccbbb```^^^\\\XXXXXXXXXVVVSSSOOOLLLIII===;;;888444111//////......---,,,+++***)))((('''---,,,+++***))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))~~~|||xxxsssmmmjjjiiikkkmmmnnnppppppqqqqqqrrrsssssstttooonnnjjjfffcccccceeehhhlllsssyyyzzzzzzxxxrrrkkkfffbbb\\\WWWSSSPPPMMMKKKKKKIIIHHHIIILLLNNNOOOOOONNNNNNOOOOOONNNHHHAAA<<<555333///---------,,,+++...---+++******,,,...///)))************)))(((((((((((())))))))))))((((((((((((((((((((((((((((((&&&''''''''''''&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&'''''''''(((((('''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&%%%%%%%%%###$$$$$$$$$$$$###""""""$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%&&&'''((($$$%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''%%%&&&&&&'''(((((())))))&&&''')))))))))+++---000...111444777999::::::999999999999888888888777777666777888999999888666555555666777888999;;;;;;<<>>@@@AAAGGGLLLSSS\\\cccggghhhiii___]]]ZZZXXXWWWUUUSSSQQQMMMLLLJJJIIIJJJLLLOOOQQQQQQVVVXXXWWWWWWXXXVVVRRRNNNIIIDDDDDDCCCCCCFFFKKKMMMQQQWWW]]]cccfffhhhiiicccaaa___^^^^^^]]][[[ZZZVVVWWWWWWWWWVVVTTTRRRQQQIIIGGGDDDAAA@@@AAADDDGGGFFFIIINNNSSSXXX\\\aaaeeelllnnnqqqvvvzzz~~~~~~||||||||||||xxxvvvrrrnnnjjjiiikkklllnnnsss{{{|||xxxxxxvvvtttssstttuuutttssssssrrrrrrrrrrrrssstttuuuuuuuuuuuuuuuuuuuuuttttttssssssssstttuuuuuuvvvvvvuuuvvvxxxzzz}}}~~~|||zzzzzzzzzzzzxxxyyyzzz{{{|||}}}~~~~~~|||wwwuuurrrqqqqqqpppnnnmmmmmmllljjjiiiiiigggeeeccc```___]]]]]]^^^```bbbdddfffggghhhiiikkkllllllkkkiiihhhffffffffffffeeedddccccccccccccbbbbbbbbbcccddddddbbbbbbbbbccceeegggjjjkkkiiijjjlllnnnooopppqqqqqqpppnnnnnnnnnppppppooommmjjjjjjkkklllnnnooonnnlllgggffffffeeeccc```^^^\\\]]]^^^```bbbcccccccccbbbaaa___]]]]]]___ccchhhkkkkkkjjjiiigggfffgggkkknnnqqqrrrssspppkkkfffcccbbb___`````````````````````aaaaaa___]]]ZZZVVVSSSQQQLLLJJJFFFBBB===999666444............---,,,+++***+++++++++++++++,,,------))))))))))))))))))))))))((((((((((((((((((((((((vvvooojjjiiiggggggiiiiiiiiijjjlllooorrrsssrrrqqqooollliiiiiikkkmmmooouuuyyyzzz|||}}}zzzvvvkkkgggbbb]]][[[YYYWWWUUUQQQOOOLLLLLLMMMNNNNNNMMMOOOPPPRRRTTTUUURRRNNNJJJ>>>:::444000///...------+++***)))(((((()))***+++******++++++******)))(((&&&''''''((((((''''''&&&''''''''''''''''''''''''((('''&&&&&&'''((('''&&&###&&&((())))))((()))***&&&&&&&&&'''''''''(((((())))))(((((((((((())))))%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&%%%%%%%%%&&&''''''''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''')))++++++---000333444555777999:::::::::999999999999888888888888777999999999888888777666555666888:::>>>BBBEEEHHHIIIPPPUUU[[[bbbfffhhhgggggg]]][[[YYYYYYYYYXXXWWWUUUMMMLLLKKKJJJKKKMMMPPPRRRQQQTTTVVVSSSQQQQQQNNNIIIJJJEEECCCFFFGGGIIIMMMSSSOOOSSS[[[bbbhhhkkkmmmmmmgggeeebbb```___\\\YYYWWWSSSSSSSSSRRRPPPMMMKKKIIIDDDDDDCCCAAAAAACCCHHHKKKNNNRRRYYY___dddiiinnnrrryyy{{{}}}~~~{{{xxxwwwvvvvvvrrrqqqnnnllljjjjjjjjjkkkjjjmmmsssyyy||||||zzzxxxxxxwwwvvvvvvwwwwwwuuutttttttttttttttttttttttttttvvvvvvuuuttttttssssssrrrsssttttttuuuwwwxxxxxxyyyzzzzzz{{{}}}~~~}}}}}}}}}~~~~~~~~~~~~~~~}}}}}}}}}}}}~~~zzzzzzyyyxxxvvvuuuttttttqqqqqqqqqooommmjjjgggfff_________```aaabbbddddddfffggghhhiiiiiihhhgggffffffffffffffffffeeeccccccdddccccccbbbccccccdddddd```aaaaaabbbccceeefffgggdddeeegggiiikkkmmmnnnnnnnnnmmmnnnppprrrsssrrrqqqpppooonnnoooqqqqqqooonnnhhhhhhfffdddbbb```___^^^]]]___aaadddeeedddcccccccccaaa______```cccfffiiijjjjjjhhheeeccccccfffhhhlllnnnpppooolllhhhffffffbbbbbbbbbbbbccccccddddddfffeeeccc```\\\YYYVVVTTTSSSQQQMMMIIIDDD???;;;999.........---,,,++++++***************+++,,,---...)))))))))))))))))))))))))))))))))))))))))))))))){{{uuuqqqnnnllljjjjjjiiiiiikkkmmmpppqqqqqqqqqpppnnnmmmnnnpppssstttxxxyyyxxxxxxzzzyyyuuulllhhhccc```___]]]\\\[[[WWWUUURRRQQQQQQQQQPPPPPPPPPPPPQQQSSSUUUUUUSSSQQQDDD???999444111000///...,,,,,,++++++******))))))***++++++++++++***))))))'''(((((())))))(((((('''''''''''''''''''''''''''(((&&&%%%&&&((()))'''%%%!!!$$$((()))(((((((((***&&&&&&&&&'''''''''''''''((((((''''''''''''((((((%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&%%%%%%%%%'''''''''''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''((()))((((((((('''''''''&&&%%%%%%%%%&&&&&&'''''''''((())),,,---...000444666777777888888888999999999999999999888888888888777777777666777777888999999;;;===@@@EEEJJJOOORRRTTTXXX[[[```dddfffeeecccaaa[[[ZZZYYYZZZZZZZZZXXXVVVKKKJJJIIIIIIJJJMMMQQQSSSQQQSSSQQQMMMKKKKKKJJJFFFIIIFFFFFFJJJMMMOOOSSSYYYVVV[[[aaahhhlllnnnmmmmmmfffccc```]]][[[WWWSSSPPPNNNNNNNNNMMMLLLJJJGGGFFFCCCEEEGGGHHHJJJNNNTTTYYY```dddiiiooossswww{{{~~~}}}{{{yyywwwuuutttttttttqqqpppnnnmmmmmmlllkkkjjjlllnnnqqqtttwwwyyyyyyyyyzzzyyyxxxxxxyyyxxxuuusssssstttuuuvvvvvvuuutttsssuuuuuuttttttssssssttttttuuuvvvwwwxxxzzz{{{}}}}}}}}}}}}~~~~~~}}}||||||}}}}}}}}}}}}|||{{{yyyxxxwwwwwwvvvxxxzzz|||}}}}}}||||||wwwwwwwwwwwwxxxzzz|||}}}|||{{{zzzzzzzzzzzz{{{{{{||||||}}}}}}~~~|||{{{zzzzzzzzz{{{}}}~~~~~~~~~}}}|||zzzzzzzzzxxxvvvrrrooommmddddddccccccddddddeeeeeegggggghhhhhhhhhhhhggggggggghhhhhhhhhhhhfffeeeddddddccccccbbbbbbccccccccc``````aaabbbccccccccccccaaabbbccceeeggghhhiiiiiijjjjjjlllpppuuuwwwwwwvvvuuusssrrrrrrrrrrrrqqqpppllljjjgggdddbbbaaaaaaaaa```bbbeeeggghhhhhhgggfffdddcccaaa``````bbbccceeeffffffeeecccaaaaaaccceeefffhhhkkkkkkjjjiiiiiiiiihhhhhhhhhhhhhhhiiiiiijjjhhhgggeeebbb___\\\ZZZYYYXXXVVVSSSNNNIIIDDD@@@>>>555333111///---,,,,,,,,,++++++*********++++++,,,))))))))))))))))))))))))))))))))))))))))))))))))zzzvvvssslllkkkjjjjjjkkkmmmoooqqqqqqqqqqqqppppppqqqtttwwwwwwyyyxxxtttsssvvvuuurrrlllhhhdddbbbaaa```___^^^^^^[[[XXXVVVVVVVVVUUUSSSQQQQQQQQQSSSVVVWWWWWWVVVHHHCCC<<<777444222111000//////000///...---,,,+++***++++++++++++***))))))******++++++++++++******'''''''''''''''''''''''')))&&&%%%&&&((()))'''%%%###'''((('''&&&''')))''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&&&&'''(((########################&&&&&&&&&&&&%%%$$$######%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''(((((())))))(((((('''''''''&&&$$$$$$%%%&&&'''((()))))))))+++...///000333666999999999888777777888888999999999999888888888888777555444444555777999<<<===???AAAEEEKKKQQQVVVZZZ\\\\\\^^^aaaddddddbbb___]]]YYYXXXXXXYYYZZZYYYWWWTTTHHHGGGGGGGGGJJJMMMQQQTTTRRRRRRNNNHHHEEEHHHHHHFFFJJJHHHIIINNNRRRSSSWWW\\\aaadddiiinnnpppooollljjjbbb___\\\XXXUUUQQQMMMIIIJJJJJJKKKKKKJJJHHHGGGFFFHHHLLLPPPUUUYYY___gggmmmrrruuuyyy}}}xxxvvvuuusssssssssssstttqqqpppooooooooommmkkkiiiooopppqqqsssuuuwwwyyyzzz{{{zzzyyyyyyzzzxxxuuusssssstttvvvwwwwwwuuusssrrrtttttttttttttttuuuvvvwwwwwwxxxyyy{{{}}}~~~~~~~~~~~~~~~~~~}}}{{{yyyyyyyyyyyyzzzuuutttsssqqqnnnlllkkkjjjmmmoooqqqssstttsssrrrqqqnnnnnnnnnnnnoooqqqsssuuussssssrrrqqqqqqqqqrrrrrrsssssssssssstttuuuvvvwwwqqqqqqpppooopppqqqrrrsssuuuvvvxxxxxxxxxzzz|||zzz{{{}}}~~~|||xxxuuusssjjjjjjiiihhhhhhhhhhhhiiijjjjjjiiiiiiiiiiiijjjjjjiiiiiijjjjjjjjjhhhfffeeedddcccbbbbbbbbbbbbcccccc___```bbbcccccccccbbbaaa```aaabbbcccdddeeeeeeeeeggghhhkkkqqqvvvzzz{{{{{{yyyvvvtttsssssssssrrrqqqooollliiieeeccccccdddddddddfffiiilllmmmlllkkkjjjdddcccbbbaaa``````aaaaaabbbccccccaaa``````aaacccaaadddgggiiiiiiiiijjjkkkmmmmmmlllllllllmmmnnnnnniiihhhfffdddbbb```^^^]]]ZZZYYYVVVQQQLLLGGGCCC@@@<<<:::666222000///...///,,,,,,+++***)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))){{{rrrpppmmmlllmmmnnnooonnnpppppppppqqqrrrtttuuuvvvwwwxxx{{{|||zzzvvvrrrooommmjjjfffccc`````````aaabbb^^^[[[XXXWWWVVVUUUTTTSSSPPPLLLKKKMMMPPPRRRSSSNNNJJJDDD???:::666111...000///---,,,,,,,,,***(((,,,,,,,,,+++++++++******((()))***++++++***)))(((************))))))))))))''''''''''''''''''''''''&&&&&&&&&'''''''''(((((('''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%$$$$$$$$$$$$'''''''''&&&&&&%%%%%%%%%"""###$$$$$$%%%%%%%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&$$$$$$$$$$$$&&&&&&'''''''''&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&'''(((((('''&&&&&&$$$%%%''')))***))))))(((+++---///222444666666666:::999999999888888777777777777888888777666555555666777777666777999>>>AAADDDIIIPPPWWW]]]```aaaaaaaaa^^^[[[YYYYYYYYYYYYXXXWWWXXXXXXWWWTTTPPPLLLJJJHHHHHHHHHIIIKKKMMMOOOOOOMMMKKKGGGEEEDDDFFFHHHJJJKKKMMMPPPQQQSSSWWW^^^ccciiikkknnnooonnnkkkgggddd```[[[UUUNNNJJJGGGDDDBBB@@@CCCEEEEEEDDDFFFJJJNNNOOOUUU]]]dddjjjppptttwww}}}{{{yyyxxxsssrrrqqqpppqqqrrrssstttttttttsssrrrqqqqqqqqqqqqqqqsssvvvxxxzzzzzzzzzyyy|||zzzyyywwwvvvvvvwwwwwwwwwxxxxxxvvvtttssstttvvvvvvxxxzzzzzzyyyxxxxxxxxx||||||{{{zzz{{{|||}}}~~~}}}}}}{{{zzzyyyxxxxxxxxx|||yyyvvvtttsssrrrpppnnnmmmlllkkkjjjhhhhhhggggggfffgggggghhhhhhggggggffffffggghhhiiiiiiiiihhhgggffffffffffffffffffffffffggggggggghhhhhhhhhhhhiiijjjiiiiiiiiiiiiiiijjjkkkkkklllnnnnnnnnnnnnoooqqqssstttuuuxxx{{{}}}~~~}}}ssspppmmmlllnnnnnnmmmjjjjjjkkkkkkjjjhhhgggggghhhlllkkkjjjiiihhhgggfffffffffeeedddccccccdddeeefffeeedddccccccddddddcccaaacccdddddddddbbb```^^^]]]___bbbggglllqqqtttwwwxxx{{{yyywwwvvvwwwwwwssspppnnnllliiifffccccccfffiiijjjnnnooommmlllnnnlllhhhgggddd```^^^___aaabbbbbbaaa___^^^___aaaccccccbbbdddcccaaa```aaacccfffhhhmmmnnnppptttxxxxxxsssoookkkiiieeecccbbbaaa^^^\\\[[[\\\[[[ZZZWWWRRRNNNKKKBBB>>>999555333111///.........------,,,++++++***,,,+++)))((((((((()))***)))))))))))))))*********~~~zzzvvvsssrrrrrrrrrqqqpppppppppqqqrrrtttuuuvvvvvvxxx{{{||||||yyyvvvsssmmmjjjfffccc``````aaabbbdddbbb^^^\\\ZZZXXXUUUSSSPPPMMMKKKJJJKKKNNNOOOOOOLLLIIIDDD@@@<<<888333000000...,,,,,,---------+++,,,,,,,,,++++++++++++***))))))************)))))))))))))))(((((((((((('''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''((('''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&''''''(((((('''&&&%%%%%%&&&'''((()))*********---///111333555666666666999999888888777777777777777777777777666666555555888888888888999<<>>???@@@EEEKKKOOOSSSWWW^^^cccnnnrrryyy{{{xxxuuusssssssssrrrrrrqqqqqqqqqrrrtttttttttsssrrrrrrrrrrrrrrrsssuuuvvvxxxzzz|||||||||{{{yyyxxxwwwuuuuuuuuuuuuvvv{{{}}}~~~|||||||||~~~{{{xxxwwwwwwtttsssrrrqqqppppppppppppmmmllllllkkkkkklllllllllkkkiiifffddddddcccaaa```___^^^]]]\\\[[[ZZZZZZZZZYYYYYYYYYZZZZZZYYYYYYYYYYYYZZZZZZ[[[ZZZZZZYYYYYYZZZZZZZZZZZZZZZZZZZZZZZZXXXXXXYYYYYYYYYZZZZZZZZZ[[[[[[[[[[[[[[[\\\]]]^^^^^^___aaaaaa``````bbbccceeeeeefffgggiiijjjkkkkkkooooooooooooooonnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkmmmmmmnnnoooppprrrtttuuuzzzzzz{{{|||}}}}}}}}}}}}~~~|||zzzzzz{{{{{{zzzyyywwwwwwwwwtttqqqnnnnnnnnnnnnnnnnnnmmmlllkkkjjjiiiffffffeeeeeeffffffggghhhgggeeedddcccddddddbbbaaa]]]^^^^^^___^^^]]]\\\[[[[[[]]]```dddgggiiikkkkkkpppppppppsssvvvxxxwwwvvvssstttsssrrrpppppprrrtttxxx|||}}}zzzwwwtttnnnhhhhhhfffcccaaa___^^^[[[YYYYYYYYYZZZ\\\___aaaaaa```cccbbb```^^^^^^___```aaaaaaccchhhnnntttwwwvvvuuullliiieeebbbaaaaaa___^^^[[[]]]```bbbaaa___[[[XXXOOOKKKDDD???;;;888444222///...---,,,++++++++++++,,,+++******))))))******++++++******))))))(((((({{{wwwrrrqqqqqqpppppppppqqqqqqrrrsssvvvyyy{{{{{{{{{{{{ssspppkkkeeebbbaaaaaabbbccccccbbbbbbaaa^^^ZZZVVVRRRRRRQQQQQQRRRPPPMMMJJJEEEEEEDDDDDDCCC@@@<<<888444111---,,,,,,...//////------,,,,,,,,,+++++++++,,,+++))))))))))))+++,,,))))))((((((((('''''''''))))))))))))))))))))))))'''''''''''''''(((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&''''''''''''((((((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%&&&&&&%%%%%%&&&&&&''''''(((((((((((((((''''''&&&%%%%%%)))(((((()))***---///000333444555777777666666555666666666666666666555555555555555444444444555555888999<<>>AAAEEEEEEKKKSSSZZZ___dddkkkppp{{{~~~~~~yyyuuurrrqqqqqqrrrrrrqqqppppppqqqrrrtttuuussssssrrrrrrrrrsssssstttvvvwwwxxxzzz{{{{{{{{{{{{yyyxxxwwwvvvuuuuuuvvvwwwzzz|||~~~|||{{{{{{~~~yyyuuusssrrrmmmmmmllljjjiiihhhhhhhhhddddddccccccdddeeeffffffgggeeebbbaaaaaa```___]]]\\\\\\[[[ZZZYYYXXXXXXYYYWWWWWWWWWXXXXXXWWWWWWWWWYYYYYYYYYYYYYYYXXXXXXXXXVVVVVVVVVVVVVVVVVVVVVVVVUUUUUUUUUVVVVVVVVVVVVWWWUUUUUUUUUUUUVVVWWWXXXXXXYYY[[[\\\\\\[[[[[[\\\]]]_________`````````aaaaaaeeeeeeeeeddddddddddddddd`````````_____________________aaaccceeegggiiiiiinnnoooqqqsssuuuvvvwwwwwwyyyyyyyyyzzz{{{}}}}}}~~~|||||||||yyyvvvtttsssssstttttttttsssrrrpppnnnmmmgggggggggggghhhhhhiiiiiigggeeeccccccccccccaaa___\\\]]]^^^^^^^^^]]]\\\[[[]]]^^^aaadddfffggghhhhhhjjjkkkllloooqqqsssttttttppprrrsssrrrqqqrrrsssuuu~~~{{{sssllliiigggfffeeedddaaa]]]ZZZZZZ[[[\\\___ccceeedddccccccbbb```^^^]]]]]]]]]^^^\\\___ccciiinnnqqqssssssnnnkkkfffcccbbbaaa___]]][[[^^^cccfffhhhfffcccaaaWWWRRRKKKEEE@@@<<<888666111000...---,,,+++++++++,,,,,,++++++************,,,++++++***)))(((''''''zzzvvvuuusssqqqooonnnmmmmmmmmmnnnqqqsssvvvwwwxxxyyyvvvtttoooiiieeebbbaaaaaa``````bbbdddeeeccc```]]]XXXWWWVVVVVVUUURRRMMMIIIDDDCCCDDDEEEEEEDDD@@@===:::666111...------,,,,,,---------,,,,,,,,,++++++,,,+++***))))))***+++,,,*********)))))))))(((((())))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&'''''''''((((((((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''$$$$$$%%%%%%&&&&&&&&&'''((((((''''''&&&&&&&&&&&&***))))))***,,,///222333555666777777777777555555555555555555555555666666555555444444444444555666666999>>>CCCIIIQQQZZZ___dddgggjjjkkkiiiddd___[[[TTTQQQNNNMMMMMMNNNNNNMMMJJJLLLOOOQQQRRRPPPMMMKKKKKKKKKKKKKKKKKKLLLMMMNNNQQQQQQRRRSSSUUUVVVWWWWWWWWWWWWWWWXXXZZZ]]]^^^___```]]]XXXRRRKKKFFFBBB@@@??????>>>======@@@FFFKKKOOOVVV___ffflllqqqwww{{{~~~yyyuuurrrppppppqqqppppppoooooopppqqqssstttrrrrrrrrrrrrsssttttttuuuvvvvvvwwwxxxyyyzzzzzz{{{zzzyyyxxxwwwvvvwwwxxxyyyyyy{{{~~~~~~}}}{{{zzzzzz{{{||||||yyytttpppmmmlllggggggfffeeedddbbbaaaaaa^^^^^^^^^^^^___```aaabbbdddbbb___^^^___^^^]]]\\\[[[ZZZYYYXXXXXXXXXXXXXXXUUUVVVVVVWWWWWWVVVVVVUUUUUUTTTTTTSSSSSSRRRRRRRRRSSSSSSSSSSSSSSSSSSSSSSSSRRRRRRRRRRRRSSSSSSSSSSSSRRRRRRRRRRRRSSSTTTUUUVVVWWWYYYZZZYYYXXXXXXYYYZZZ[[[[[[[[[[[[[[[[[[[[[[[[]]]]]]]]]\\\\\\\\\[[[[[[WWWWWWWWWWWWVVVVVVUUUUUUSSSTTTVVVXXXZZZ\\\]]]^^^```aaadddfffiiikkklllllloooppprrrtttvvvyyy|||~~~~~~}}}{{{yyyyyyzzz{{{{{{{{{zzzxxxvvvsssqqqkkkkkkllllllllllllkkkkkkhhhfffdddccccccbbb```^^^]]]^^^___``````___^^^]]]^^^___aaaccceeeeeeeeeeeeeeegggiiijjjkkklllmmmmmmlllnnnpppppppppqqqtttvvvyyyqqqffffffeeeeeeeeeddd```]]]\\\\\\]]]```dddfffffffffcccbbb```^^^]]]\\\\\\\\\[[[^^^aaadddgggjjjlllmmmooommmiiifffdddbbb___\\\\\\___dddiiikkkkkkiiihhh]]]XXXQQQJJJEEEAAA===;;;666444222///---,,,,,,,,,,,,,,,,,,,,,,,,++++++***,,,++++++***)))(((''''''~~~|||yyyuuuqqqmmmkkkjjjiiijjjkkkmmmppprrrtttuuuwwwuuurrrnnnjjjfffdddcccaaabbbdddgggjjjkkkhhhfff^^^]]][[[ZZZWWWRRRLLLGGGDDDCCCDDDEEEFFFFFFDDDBBB???;;;666222000...,,,***------------,,,,,,,,,,,,++++++************++++++************))))))))))))(((((((((((((((((((((((()))))))))(((((((((((('''((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&'''''''''(((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&''''''((()))***+++---///111444555555666777777777777555555555555555555666666666666666555444444444555666777777<<>><<<<<<:::===@@@AAACCCGGGNNNTTT]]]dddmmmssswww{{{~~~zzzvvvsssqqqppppppnnnnnnmmmmmmnnnppprrrsssrrrrrrrrrrrrssstttvvvvvvwwwwwwwwwxxxyyyyyyzzzzzzzzzyyyxxxwwwwwwxxxyyyyyyyyyzzz||||||yyywwwwwwwwwtttuuuuuurrrnnnjjjhhhgggcccccccccbbbaaa___^^^]]]\\\\\\[[[[[[\\\]]]^^^^^^___]]][[[ZZZ[[[[[[ZZZYYYXXXWWWWWWVVVUUUUUUVVVVVVSSSSSSTTTTTTTTTTTTSSSSSSSSSRRRQQQPPPOOOOOOOOOPPPOOOOOOOOOOOOOOOOOOOOOOOOMMMMMMMMMMMMNNNNNNNNNNNNOOOOOOPPPPPPQQQRRRTTTTTTVVVWWWXXXXXXVVVVVVWWWXXXXXXXXXXXXXXXWWWWWWWWWWWWWWWWWWVVVVVVUUUTTTTTTTTTQQQPPPPPPOOOOOONNNNNNMMMLLLMMMNNNPPPRRRRRRSSSSSSSSSTTTWWWYYY[[[]]]^^^___bbbeeehhhjjjmmmppptttwwwxxxzzz{{{{{{zzz{{{|||~~~~~~~~~|||yyyxxxssssssssssssrrrqqqpppooojjjhhhfffeeedddcccaaa___```aaabbbbbbaaa```___^^^\\\]]]___aaabbbbbbbbbbbbcccdddfffgggffffffggghhhiiikkklllmmmnnnqqquuuwww}}}{{{tttccccccbbbcccdddcccaaa^^^\\\\\\[[[^^^aaadddeeefffccccccaaa___^^^]]]\\\\\\^^^```bbbccccccdddgggiiinnnlllkkkjjjhhheeeaaa^^^^^^aaaeeeiiikkklllllllllaaa]]]VVVPPPKKKGGGDDDBBB<<<:::666222///.........,,,------------,,,+++***++++++******))))))((((((zzztttoookkkiiigggggghhhiiikkkmmmooopppsssssssssrrrooollliiigggggghhhjjjnnnqqqrrrqqqpppgggeeebbb___ZZZUUUNNNIIIEEEDDDDDDEEEGGGHHHGGGFFFCCC@@@;;;888555222///,,,...------------,,,,,,,,,***++++++,,,,,,++++++******))))))))))))(((((((((''''''''''''''''''''''''))))))))))))((((((((('''((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%&&&''')))))))))***,,,///222444555555444555666777777666555555555555666666666777777777777666555444444666888999;;;@@@GGGMMMSSSWWW\\\___\\\^^^```cccdddcccbbbbbbZZZWWWSSSPPPPPPPPPOOONNNPPPSSSVVVXXXXXXWWWTTTRRROOOOOOOOOPPPQQQSSSTTTUUUTTTUUUWWWYYYZZZZZZYYYYYYZZZWWWUUUUUUVVVVVVTTTRRROOOLLLGGGAAA>>><<<===>>>@@@EEEKKKOOOQQQVVV]]]ccckkkqqqyyy~~~~~~{{{wwwtttqqqooonnnllllllllllllmmmoooqqqrrrqqqqqqrrrrrrtttuuuvvvwwwxxxxxxxxxyyyyyyzzz{{{|||yyyxxxwwwvvvvvvwwwxxxyyyvvvwwwwwwvvvsssqqqqqqrrrnnnoooooommmiiifffdddccc``````aaa``````^^^\\\\\\[[[ZZZZZZZZZZZZZZZ[[[[[[\\\ZZZXXXXXXXXXYYYXXXWWWVVVUUUUUUTTTTTTTTTTTTTTTQQQRRRRRRSSSSSSRRRRRRQQQSSSRRRPPPOOONNNNNNNNNOOOJJJJJJJJJJJJJJJJJJJJJJJJIIIIIIIIIIIIJJJJJJJJJJJJLLLLLLMMMMMMNNNPPPQQQRRRSSSUUUVVVUUUTTTSSSTTTUUUUUUUUUTTTTTTTTTTTTSSSSSSQQQPPPPPPOOONNNNNNMMMMMMJJJJJJJJJIIIHHHGGGGGGGGGFFFGGGIIIJJJKKKJJJJJJIIIJJJKKKMMMOOOQQQRRRSSSSSSUUUXXX\\\]]]___aaafffiiijjjllloooqqqrrrtttwwwyyy|||~~~~~~|||||||||{{{zzzxxxvvvuuunnnllljjjhhhgggfffcccaaabbbcccccccccbbbaaa___^^^\\\]]]___```aaabbbaaaaaa```ccceeeeeedddcccdddfffffffffggghhhjjjnnnssswwwyyy~~~}}}xxxrrreeedddccccccdddcccaaa```^^^\\\[[[[[[___bbbeeefffdddcccbbbaaa```___^^^^^^aaabbbdddcccbbbbbbeeehhhiiiiiikkklllmmmjjjfffbbb```aaadddgggjjjlllmmmmmmeee```ZZZUUUQQQNNNKKKIIICCC@@@;;;666222000//////,,,---.........---++++++*********)))))))))))))))~~~wwwpppkkkiiiggggggfffggghhhjjjmmmnnnpppqqqssstttssspppmmmkkknnnnnnooosssvvvxxxwwwvvvnnnlllhhhccc___XXXQQQLLLFFFEEEDDDDDDFFFHHHHHHHHHEEEBBB???<<<999666222///......---------,,,,,,,,,***+++,,,------,,,+++***)))(((((((((''''''''''''''''''''''''''''''''''''******))))))((((((((('''))))))))))))))))))))))))''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((()))'''''''''&&&&&&%%%%%%%%%$$$$$$%%%&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$$$$$$$$$$&&&'''%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''((((((((((((''''''&&&&&&%%%&&&%%%%%%%%%&&&(((***+++(((***---111333555555666444444666777777666666555555666666666777777888888777666555444555666888:::>>>CCCKKKQQQUUUWWWZZZ[[[XXXZZZ]]]```dddfffggghhh]]]ZZZUUURRRQQQQQQPPPOOOUUUUUUWWWXXXXXXWWWVVVVVVOOOOOOOOOPPPRRRTTTUUUVVVQQQSSSVVVYYYZZZ[[[ZZZZZZWWWTTTQQQQQQRRRQQQNNNKKKIIIFFFBBB>>><<<===@@@AAAJJJPPPXXX]]]```eeelllrrrsssyyy}}}{{{xxxtttqqqnnnmmmkkkkkkjjjkkklllnnnpppqqqqqqqqqrrrrrrtttuuuwwwxxxzzzzzzzzzzzzzzz{{{|||}}}wwwwwwvvvuuuuuuvvvwwwxxxssssssrrrooolllkkkkkkllljjjkkkllljjjgggdddbbbbbb______``````___^^^\\\[[[ZZZZZZYYYYYYYYYYYYYYYZZZ[[[YYYWWWWWWXXXYYYXXXWWWVVVVVVUUUTTTTTTTTTUUUUUURRRRRRRRRSSSSSSRRRRRRRRROOONNNLLLKKKJJJJJJKKKKKKFFFFFFFFFFFFFFFFFFFFFFFFHHHHHHHHHHHHIIIIIIIIIIIIJJJJJJJJJKKKLLLMMMOOOPPPQQQSSSSSSSSSQQQQQQRRRSSSRRRRRRRRRQQQQQQQQQQQQQQQLLLLLLKKKKKKJJJIIIIIIHHHFFFFFFEEEEEEDDDCCCCCCBBBDDDEEEFFFFFFFFFFFFDDDDDDEEEFFFHHHJJJKKKLLLLLLLLLLLLOOORRRSSSSSSUUUYYY]]]\\\___cccfffiiilllppprrryyy{{{}}}zzzyyyqqqooolllkkkjjjhhhfffccccccdddddddddbbb```^^^]]]]]]^^^```bbbcccccccccbbb___bbbeeeeeecccbbbdddfffbbbbbbcccccceeejjjpppuuuwww{{{~~~|||{{{yyytttnnniiigggeeeeeeeeeeeecccbbbaaa^^^\\\\\\___cccfffgggddddddcccbbbaaa```______cccdddeeedddbbbbbbfffiiieeegggjjjnnnpppnnnjjjfffaaabbbcccfffhhhkkkmmmnnngggccc]]]XXXUUURRRPPPNNNFFFCCC>>>888444111000000,,,---.........---,,,+++)))))))))))))))*********{{{rrrkkkiiigggeeefffhhhjjjkkkkkkoooqqqrrrtttuuuuuuttttttvvvvvvvvvvvvwwwyyy{{{|||vvvrrrlllfff___XXXQQQMMMJJJIIIGGGHHHIIIJJJJJJIIIKKKHHHDDDAAA===888222...000...,,,+++,,,,,,+++***+++++++++************)))))))))))))))))))))))))))************))))))))))))&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''(((((())))))(((&&&%%%$$$###"""&&&&&&''''''''''''&&&&&&'''&&&&&&&&&&&&'''(((((((((''''''''''''&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&***'''$$$$$$%%%&&&%%%###&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%&&&((()))$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%%%%&&&&&&&&&&&&'''((()))***++++++...///000222333444555555333444444555666666555555000222444666777888777777333777999999777999???DDDKKKLLLNNNQQQTTTXXXZZZ\\\[[[[[[___eeekkknnnmmmkkkfff```WWWRRRPPPPPPPPPOOOSSSSSSTTTTTTTTTSSSRRRQQQRRRRRRRRRRRRSSSTTTUUUVVVWWWYYY[[[\\\\\\ZZZWWWUUUWWWSSSNNNLLLJJJHHHDDDAAAAAAAAA???>>>@@@EEEMMMRRR\\\ccclllrrruuuwwwzzz|||~~~~~~}}}}}}~~~|||xxxtttpppmmmkkkkkkkkkllllllmmmmmmllllllnnnooorrruuuwwwwwwvvvvvvuuuvvvvvvwwwxxxxxxyyyyyyxxxwwwvvvuuutttsssrrrrrrpppllliiiiiijjjjjjhhhfffggggggfffdddbbbaaa```___]]]]]]]]]\\\\\\\\\\\\\\\YYYXXXWWWVVVVVVWWWXXXYYYXXXXXXWWWVVVUUUUUUTTTTTTTTTTTTTTTSSSSSSSSSRRRRRRQQQPPPOOOOOOPPPQQQPPPNNNMMMLLLKKKIIIGGGFFFFFFFFFGGGGGGGGGGGGFFFEEECCCCCCBBBCCCDDDEEEFFFGGGHHHHHHIIIIIIIIIJJJJJJJJJJJJKKKNNNNNNNNNMMMMMMMMMLLLLLLPPPPPPPPPOOONNNMMMLLLKKKHHHGGGEEEDDDDDDDDDEEEFFFBBBBBB@@@@@@@@@@@@BBBBBBEEEDDDDDDBBBAAA@@@@@@???AAACCCEEEEEEDDDDDDFFFHHHJJJJJJJJJJJJKKKMMMOOOPPPTTTUUUXXXZZZ\\\```eeehhhnnnqqqtttxxx{{{~~~~~~}}}{{{wwwsssooommmmmmllljjjhhhfffdddcccaaa___]]]]]]^^^___```aaaaaaaaaaaa```aaabbbccccccccccccccc___^^^^^^^^^aaaeeeiiikkkppptttyyy}}}}}}{{{vvvsssmmmiiieeedddeeeffffffddd___^^^^^^___aaacccfffgggbbbccceeefffffffffeeedddeeeeeeddddddcccccccccccciiikkkoootttxxxwwwqqqlllkkkfffaaa```cccggghhhggglllggg```ZZZWWWTTTRRRPPPRRRLLLEEE>>>888555111///000///---,,,*********+++))))))******++++++++++++wwwyyy||||||uuullljjjgggfffgggiiijjjjjjlllmmmqqqtttxxxzzz||||||||||||}}}}}}}}}}}}}}}}}}yyyuuupppjjjddd]]]UUUQQQNNNLLLIIIIIIJJJKKKKKKJJJJJJIIIGGGEEEBBB>>>888444222000---,,,------,,,+++++++++++++++************************************************))))))))))))&&&''''''((((((''''''&&&&&&&&&&&&'''''''''(((((())))))((('''&&&%%%$$$$$$'''''''''(((((('''''''''(((''''''''''''((())))))(((''''''''''''&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%$$$%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&''')))***'''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&&&&'''''''''&&&&&&'''(((***+++------222222444555666666777777444444555555555555555555444444666777888888888888888;;;======<<>>===>>>@@@CCCHHHPPPYYY```mmmsss{{{~~~}}}||||||}}}{{{vvvrrrooommmkkkkkkllllllllllllkkkkkklllnnnqqqsssuuuuuuttttttttttttuuuuuuuuuuuuvvvvvvttttttsssrrrqqqpppoooooommmjjjgggfffggghhhfffdddeeeeeecccbbbaaa___^^^^^^[[[[[[ZZZZZZZZZZZZYYYYYYXXXXXXWWWVVVVVVWWWXXXXXXWWWWWWVVVUUUTTTSSSSSSRRRRRRRRRRRRRRRQQQQQQQQQQQQPPPOOONNNNNNOOOOOONNNMMMKKKJJJIIIGGGFFFEEEDDDDDDCCCCCCBBBAAAAAA@@@??????AAAAAABBBCCCDDDEEEFFFFFFHHHHHHHHHHHHIIIIIIIIIJJJMMMMMMLLLLLLLLLKKKKKKKKKMMMMMMMMMLLLKKKIIIHHHGGGEEEDDDCCCBBBAAABBBBBBCCC@@@???>>>======>>>???@@@AAAAAAAAA@@@@@@@@@@@@@@@???@@@BBBBBBAAABBBCCCEEECCCCCCCCCCCCDDDFFFHHHIIIKKKMMMOOOQQQRRRUUUZZZ]]]dddgggkkkooorrruuuyyy|||~~~zzzwwwuuuttttttpppmmmjjjgggeeebbb^^^[[[^^^^^^^^^______```aaaaaa______```bbbbbbccccccccc___^^^]]]]]]^^^aaaeeegggkkknnnsssxxxyyyyyywwwuuuoookkkgggeeeffffffdddcccaaaaaaaaaaaabbbcccdddeeeccccccdddeeeffffffgggggggggfffdddccccccdddeeefffmmmnnnqqqvvvzzzzzzwwwtttllljjjhhhgggiiikkklllmmmkkkgggaaa]]]ZZZWWWUUUSSSRRRMMMFFFAAA===:::777555222111///---,,,+++,,,,,,)))*********++++++++++++ooopppsssuuuxxx}}}vvvrrrmmmjjjjjjjjjjjjjjjjjjlllppptttyyy~~~}}}{{{xxxuuuqqqmmmhhhbbbZZZUUUSSSPPPLLLJJJKKKKKKKKKKKKJJJIIIIIIIIIHHHEEE???;;;555222///.........---,,,,,,+++++++++************************************************))))))))))))&&&''''''((((((''''''&&&&&&&&&'''''''''((((((((()))((((((((('''''''''''''''(((((())))))(((((('''((((((((((((((()))******(((''''''''''''&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&###$$$&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''')))***+++)))((('''&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&(((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%(((((('''''''''(((((()))'''''''''(((***---000111444555666666777777777666555555555555555555555555777777888888999:::;;;<<<>>>@@@BBBCCCDDDHHHPPPVVVXXXXXXWWWWWWXXXYYYZZZ[[[eeefffiiinnnsssvvvvvvuuummmhhhaaa\\\ZZZXXXVVVUUUQQQPPPMMMKKKKKKLLLNNNPPPTTTTTTTTTTTTVVVWWWYYYZZZ____________]]]ZZZWWWVVVOOOKKKEEEAAA???>>>>>>===;;;???EEEMMMWWWbbbmmmuuu~~~~~~||||||{{{{{{{{{}}}~~~zzzuuuqqqooolllllllllmmmllllllkkkkkkkkkmmmoooqqqrrrrrrrrrrrrssssssrrrrrrrrrqqqqqqqqqpppoooooonnnmmmlllkkkkkkhhhfffdddcccddddddcccaaabbbbbbaaa```___]]]]]]\\\[[[ZZZZZZZZZYYYYYYYYYXXXXXXXXXWWWWWWWWWWWWXXXXXXWWWVVVUUUTTTSSSRRRQQQQQQPPPPPPPPPOOOOOOOOOOOONNNNNNMMMKKKLLLLLLMMMKKKJJJHHHGGGFFFDDDCCCBBBBBBBBB@@@???>>>===<<<<<<======??????@@@AAABBBCCCCCCDDDFFFFFFFFFFFFGGGGGGGGGHHHJJJJJJJJJJJJIIIIIIIIIIIIIIIHHHHHHGGGEEEDDDBBBAAAAAA@@@??????>>>>>>??????<<<;;;;;;::::::;;;;;;<<<<<<<<<======>>>>>>??????;;;===>>>>>>===>>>???@@@=========>>>???@@@AAABBBBBBDDDFFFGGGHHHJJJMMMPPPVVVYYY]]]aaadddhhhlllooouuuwww|||~~~~~~~~~|||yyyuuuqqqmmmhhhccc___```___^^^]]]]]]^^^___```]]]^^^___aaabbbccccccccc^^^]]]\\\[[[\\\]]]___aaadddfffjjjooorrrsssttttttpppmmmjjjhhhfffeeecccbbbcccccccccdddddddddddddddeeeddddddeeefffhhhjjjkkkkkkhhheeebbbbbbdddgggiiipppppprrrvvvzzz|||{{{zzzrrrrrrrrrqqqnnnmmmnnnnnniiifffbbb___]]][[[YYYWWWSSSOOOJJJFFFCCCAAA>>>===555444111///------------************++++++++++++lllmmmoooppprrruuuyyy|||yyyssspppmmmkkkjjjlllmmmooossswww|||~~~yyyvvvsssqqqooommmjjjeee___[[[WWWTTTOOOLLLKKKKKKKKKJJJIIIIIIKKKLLLLLLIIIDDD???999555222//////...---,,,,,,,,,+++++++++*********************************************)))))))))(((''''''((((((((((((''''''''''''''''''((((((((((((((((((((((((((()))))))))(((((())))))))))))((((((((((((''''''(((((()))***(((''''''''''''&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%&&&'''&&&$$$$$$&&&(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''((()))***+++)))*********)))(((&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''((()))(((((((((***,,,000333555555555666666666555555444777666666555555555555555777777999:::===???AAABBBBBBDDDFFFHHHLLLSSS[[[aaacccaaa___\\\ZZZZZZZZZZZZcccdddgggkkkoooqqqrrrqqqmmmjjjddd___ZZZVVVSSSQQQOOOMMMKKKIIIJJJMMMQQQTTTVVVUUUUUUVVVWWWZZZ\\\^^^dddeeefffeeebbb]]]XXXTTTKKKGGGBBB>>><<<===???@@@@@@FFFOOO[[[gggttt~~~~~~~~~~~~{{{zzzyyyyyyyyy{{{|||}}}|||wwwssspppoooooooooooonnnmmmmmmlllllllllnnnoooppppppppppppqqqqqqqqqpppooonnnnnnmmmlllkkkkkkjjjiiihhhhhhhhheeedddbbbaaaaaaaaaaaa```aaa``````___^^^]]]]]]\\\\\\\\\\\\[[[[[[ZZZZZZYYYYYYYYYXXXXXXXXXXXXYYYYYYWWWVVVUUUTTTSSSRRRQQQPPPNNNNNNNNNNNNMMMMMMMMMMMMKKKJJJHHHHHHIIIIIIHHHFFFDDDCCCBBBAAA????????????AAA???===;;;;;;<<<===>>>>>>>>>??????@@@AAAAAABBBCCCCCCDDDDDDDDDEEEEEEEEEGGGGGGGGGFFFFFFFFFEEEEEEEEEEEEDDDCCCAAA???===<<<>>>======<<<<<<<<<<<<<<<999999999888888999999999::::::::::::;;;;;;;;;;;;999:::;;;;;;::::::<<<===<<<<<<<<<======>>>?????????AAACCCCCCDDDEEEGGGIIIJJJMMMQQQUUUXXX\\\```cccgggkkkpppxxx~~~~~~yyytttooohhhdddcccaaa___]]]\\\]]]^^^___]]]^^^___aaacccddddddeee___^^^\\\[[[ZZZ[[[\\\\\\^^^___bbbeeehhhjjjlllmmmlllllljjjiiihhhgggeeedddddddddeeeffffffggggggggghhhgggffffffgggjjjmmmooooookkkfffbbb```bbbfffhhhnnnpppsssvvvxxxyyywwwvvvvvvxxxzzzwwwqqqlllkkkkkkgggeeebbbaaa```___\\\ZZZVVVSSSOOOLLLJJJHHHEEECCC999777444111///...------++++++++++++++++++++++++kkklllmmmnnnnnnooorrruuuyyy~~~~~~xxxsssnnnkkklllmmmnnnqqquuuzzz~~~}}}xxxtttpppooonnnmmmllljjjeeebbb[[[WWWRRROOOMMMKKKJJJHHHGGGHHHKKKMMMNNNLLLGGGDDD>>>:::555222000///...,,,,,,,,,,,,++++++++++++***************************************)))))))))((('''((((((((((((((((((''''''''''''((((((((())))))((((((((()))))))))))))))(((((())))))))))))((((((''''''&&&&&&''''''((()))(((''''''''''''&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&''''''&&&%%%######%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((()))))))))(((***---//////,,,(((%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&'''((()))******,,,///222555777666666777777666666555555777666666555555555666666666888;;;>>>BBBFFFIIIJJJFFFHHHJJJNNNTTT[[[ccchhhiiigggccc___\\\[[[ZZZZZZ```bbbeeegggiiijjjkkklllnnnlllhhhbbb[[[UUUPPPNNNMMMLLLKKKKKKNNNRRRVVVYYYWWWVVVVVVVVVXXX[[[^^^```fffiiikkkkkkggg___VVVPPPFFFDDD@@@<<<<<<>>>CCCFFFKKKRRR^^^jjjvvv~~~}}}|||}}}~~~zzzyyyxxxxxxxxxyyyzzz{{{}}}}}}~~~|||xxxtttrrrrrrrrrrrrrrrqqqpppooonnnmmmmmmnnnnnnooooooooooooppppppooonnnmmmlllkkkkkkhhhhhhhhhggggggffffffeeebbbbbbbbbaaa______```````````````______^^^^^^^^^\\\\\\[[[[[[ZZZYYYXXXXXXYYYYYYYYYYYYYYYYYYYYYYYYWWWWWWUUUTTTSSSQQQPPPPPPLLLLLLLLLLLLKKKKKKKKKKKKHHHGGGEEEEEEFFFEEEDDDBBBAAA@@@???===<<<<<<<<<<<>>===>>>>>>>>>???@@@@@@@@@@@@AAAAAAAAABBBBBBBBBBBBDDDCCCCCCCCCCCCBBBBBBBBBBBBAAAAAA@@@???===;;;:::;;;;;;;;;;;;;;;:::::::::777777888888888888777777888888888888777777777777777999:::999888888999;;;::::::;;;<<<<<<=========>>>???AAABBBAAAAAACCCDDDBBBEEEIIILLLOOORRRVVVYYY[[[___eeekkkpppuuuxxxyyy~~~~~~|||xxxrrrlllhhhfffdddaaa___]]]]]]^^^___]]]^^^```bbbcccdddeeeeee___^^^]]][[[ZZZZZZZZZ[[[ZZZZZZ[[[\\\^^^```bbbccceeeggghhhjjjjjjjjjiiiiiidddeeefffggghhhjjjkkkkkklllkkkiiihhhiiikkknnnpppqqqmmmgggbbb``````bbbdddkkkoootttwwwwwwtttqqqnnnqqqtttwwwvvvqqqmmmkkklllgggfffdddbbbbbbaaa^^^\\\[[[YYYVVVSSSQQQOOOKKKHHH>>><<<888555111///------,,,+++++++++++++++++++++iiijjjkkkkkkjjjkkkmmmnnntttwww|||}}}vvvrrrooonnnoooqqqtttzzz~~~yyywwwrrrqqqooonnnnnnmmmjjjhhh___\\\WWWSSSPPPMMMIIIGGGGGGHHHJJJNNNQQQQQQNNNKKKFFFAAA;;;666333111///---,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++************))))))))))))'''(((((())))))(((((('''''''''((((((((()))))))))(((((((((((())))))))))))'''(((((())))))(((((('''&&&&&&&&&&&&&&&'''(((((((((''''''''''''&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%&&&''''''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((('''''''''%%%(((---000111...***(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((***+++---000222444666777888888888999999888777777777666555555555666888999888;;;@@@EEEKKKOOOQQQRRRMMMNNNQQQUUUZZZ```eeeiiigggeeeaaa^^^\\\[[[\\\]]]bbbdddffffffffffffggghhhmmmmmmkkkeee^^^VVVQQQOOOMMMMMMNNNPPPSSSVVVYYY[[[WWWVVVVVVVVVYYY\\\```cccgggiiikkkkkkeee[[[QQQJJJBBBAAA@@@??????DDDJJJOOOXXX___kkkvvv~~~}}}||||||}}}~~~zzzyyyxxxwwwwwwxxxyyyzzz{{{{{{{{{{{{||||||}}}}}}|||yyyvvvtttuuuuuuuuutttsssqqqpppooommmmmmmmmmmmmmmmmmmmmnnnmmmmmmllllllkkkjjjiiiiiifffeeeeeeeeedddddddddccc```aaaaaa```^^^]]]___`````````__________________ZZZZZZYYYXXXWWWVVVUUUUUUWWWWWWXXXYYYYYYXXXWWWWWWVVVVVVTTTSSSQQQPPPNNNNNNIIIIIIIIIIIIHHHHHHHHHHHHFFFDDDBBBBBBBBBBBB@@@???>>>===<<<;;;::::::::::::::::::888888888888999:::<<<<<<======>>>>>>>>>>>>>>>>>>>>>?????????@@@@@@@@@@@@@@@@@@??????????????????>>>>>>===<<<::::::999::::::::::::999888888666666777777777777666666777777666666555555555444666777888888666666777888777777888999999999999999:::;;;>>>>>>======>>>???===@@@CCCFFFHHHKKKNNNQQQRRRVVV[[[```cccfffjjjlllqqqrrruuuxxx{{{}}}yyytttqqqiiihhheeebbb```______^^^]]]^^^___aaabbbccccccccc^^^]]]\\\[[[[[[[[[[[[[[[YYYYYYXXXXXXYYYZZZ[[[[[[]]]aaafffiiikkklllmmmnnngggffffffgggiiilllnnnpppooonnnkkkiiiiiijjjlllmmmnnnkkkgggccc```_________hhhmmmsssuuutttoookkkiiieeeiiinnnqqqrrrrrrrrrrrrllliiifffddddddcccaaa______^^^\\\[[[ZZZWWWRRROOOFFFCCC???999555111///---,,,,,,,,,,,,++++++++++++iiijjjkkkkkkiiiiiijjjlllooorrruuuwwwyyy|||xxxvvvuuutttvvvzzz~~~~~~{{{yyyuuurrrooolllkkkkkkiiigggccc```]]]YYYUUUPPPKKKGGGFFFGGGKKKPPPUUUXXXXXXWWWNNNIIIBBB;;;777444111///------,,,,,,,,,+++++++++++++++++++++++++++++++++************))))))))))))(((((())))))))))))(((((('''((((((((())))))))))))(((((((((((((((((((((((('''''''''((((((''''''''''''''''''''''''(((((()))(((''''''''''''&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%(((...444333,,,%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&%%%$$$$$$&&&))),,,......---,,,''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''((()))+++---000333555666666666777777888888888888888777666555444444555777999;;;===AAAHHHNNNSSSWWWXXXXXXVVVWWWXXX[[[___bbbdddeee^^^]]][[[YYYZZZ\\\___aaadddfffhhhgggeeedddeeeggghhhjjjjjjfff___XXXTTTRRRNNNPPPSSSVVVXXXYYYYYYYYYWWWVVVUUUVVVXXX]]]aaadddfffgggfffccc\\\SSSJJJEEEBBBCCCEEEFFFHHHNNNVVV\\\aaahhhsss}}}~~~}}}}}}|||}}}}}}zzzyyyxxxwwwwwwxxxyyyyyyyyyyyyyyyyyyyyyzzzzzz{{{zzz|||}}}~~~}}}{{{yyywwwvvvvvvvvvuuusssqqqpppooolllkkkkkkkkkjjjkkkkkkkkkiiiiiiiiihhhhhhgggggggggbbbbbbbbbbbbbbbaaaaaaaaa^^^___```^^^\\\[[[]]]___^^^_____________________ZZZYYYYYYXXXVVVUUUUUUTTTTTTTTTUUUVVVVVVUUUTTTTTTTTTSSSRRRPPPNNNMMMLLLKKKFFFEEEEEEEEEDDDDDDDDDDDDDDDBBB@@@@@@@@@???>>><<<<<<<<<;;;:::999999999999777777777777777777777777::::::;;;;;;;;;;;;<<<<<<<<<<<<<<<=========>>>>>>>>>>>>>>>=========<<<<<<;;;;;;<<<<<<;;;::::::999777888888999888777666555333444555666666555444333444444444444555555555555444555666666444444444666444555666777777777666555555888:::;;;:::::::::;;;:::<<>>???>>><<<;;;;;;;;;:::999888888888999777777888888999888888777999999999999999999::::::;;;;;;;;;<<<<<<<<<============<<<<<<<<<;;;;;;;;;999999::::::::::::999999555666777777777666555444222333444555555444333222111222222444555666666777333444555444222222333444333444555666777666555444444666999:::999999999:::777:::<<<>>>???@@@CCCEEEAAAEEEJJJMMMNNNPPPTTTWWWVVVWWWZZZ]]]```cccdddeeejjjkkkmmmpppssstttqqqooommmmmmkkkiiifffccc```___[[[\\\]]]]]]^^^^^^^^^^^^XXXYYYYYYYYYZZZZZZ[[[[[[XXXXXXXXXXXXXXXXXXXXXXXXVVV\\\dddiiikkklllnnnpppooommmjjjhhhhhhkkknnnqqqpppnnnkkkhhhfffdddccccccaaabbbccccccbbb```]]][[[]]]aaaeeeeeedddbbbcccddd___```dddllltttzzzzzzyyywwwsssmmmiiiggggggfffeeeccccccdddfffgggfffbbb___TTTPPPJJJCCC<<<777333111---------,,,,,,+++++++++iiigggffffffiiikkkmmmmmmlllmmmnnnppprrrsssuuuuuu||||||zzz{{{{{{zzzzzzzzz{{{}}}~~~|||wwwtttppplllhhhfffeeeeeeggggggfffccc^^^WWWPPPKKKEEEFFFKKKQQQYYY___aaabbb___YYYPPPGGG@@@999444111///...,,,,,,---...---,,,,,,,,,,,,+++++++++******+++*********))))))((((((+++)))'''&&&((()))))))))(((((('''(((((()))******,,,++++++***)))(((''''''''''''(((((('''&&&%%%%%%$$$$$$%%%'''(((***++++++))))))(((((((((((())))))%%%%%%%%%&&&&&&'''''''''+++,,,777LLL]]]ZZZBBB+++''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%$$$$$$&&&)))---///555111,,,'''%%%%%%'''((($$$%%%&&&'''''''''&&&%%%$$$%%%&&&'''''''''&&&%%%''''''&&&'''((()))+++---///111333444444444666888666777888888888777555444777777666555555888<<<@@@EEEJJJQQQVVVZZZ\\\^^^___cccddddddccc```\\\XXXUUUOOOQQQSSSUUUXXX]]]ccchhhlllllllllkkkhhhccc___\\\]]]___aaabbbaaa^^^ZZZXXXXXXYYY[[[\\\[[[ZZZXXXWWWOOOQQQTTTWWWZZZ]]]^^^___\\\ZZZTTTNNNJJJIIILLLOOOLLLMMMOOOTTTZZZbbbiiimmmrrruuu{{{}}}{{{{{{{{{{{{zzzyyyyyyxxxwwwxxxyyyzzzyyywwwwwwuuussssssuuuxxxyyyzzz||||||{{{zzzyyyyyyxxxxxxwwwvvvtttrrrooollljjjiiikkkkkkjjjiiihhhgggffffffffffffeeeddddddccccccbbb`````````___^^^^^^]]]]]]]]]\\\[[[ZZZYYYYYYYYYYYY[[[]]]^^^``````___]]]\\\ZZZXXXVVVVVVVVVUUUSSSQQQOOOOOOOOOOOOOOOOOONNNNNNPPPNNNLLLJJJHHHHHHHHHHHHEEEEEECCCBBB@@@???>>>=========<<<;;;999888888777999999999888777666666555555555444444444444555555888888777777777777888888;;;;;;;;;<<<<<<<<<============<<<;;;;;;:::999999666666666666555555555555>>>;;;777444333333333222222222222222222222222222222222222222222222222222222222222222222222222222111222333333444444333333444555555666777888888999::::::;;;;;;<<<=========AAABBBCCCEEEFFFHHHIIIJJJOOOPPPQQQSSSUUUWWWXXXYYYaaaccceeeggggggiiikkknnnggghhhiiiiiihhheeecccaaa\\\[[[[[[ZZZYYYYYYYYYYYY]]]YYYUUUTTTVVVXXXYYYXXXXXXYYYZZZ[[[[[[[[[ZZZYYYYYYZZZ[[[]]]___bbbeeeffflllkkkjjjhhhhhhiiijjjjjjllljjjhhheeecccbbbbbbbbbaaa```^^^\\\ZZZYYYZZZZZZ^^^___aaabbbcccbbb```___```___```dddkkkrrrxxx{{{~~~yyysssmmmjjjhhheeedddeeeeeegggkkknnnmmmhhhccc```ZZZRRRIIIBBB<<<777444111///,,,++++++++++++***kkkhhhfffeeeggghhhiiiiiijjjkkklllmmmnnnooopppppptttxxx}}}}}}zzzwwwyyyyyyyyy{{{~~~~~~|||xxxuuuqqqmmmiiigggfffeeehhhiiiiiigggccc[[[TTTOOOGGGHHHKKKQQQYYY___cccdddddd___VVVNNNFFF???888444000...,,,,,,---------,,,,,,,,,,,,++++++++++++***+++*********))))))))))))---+++))))))***,,,,,,+++***))))))))))))******+++++++++******))))))(((((((((((())))))(((((('''&&&''''''''''''(((((())))))((((((''''''''''''((((((%%%%%%&&&&&&&&&&&&&&&&&&+++---444@@@HHHDDD555'''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&)))+++---000///---+++(((&&&%%%$$$%%%&&&''''''''''''&&&%%%$$$%%%&&&'''''''''&&&&&&'''''''''''')))+++---...111333444555444555666888666777777888777666555444666666666555666999>>>AAAFFFJJJPPPUUUXXX[[[^^^```cccdddcccaaa^^^ZZZVVVSSSQQQRRRTTTVVVYYY]]]ccchhhiiijjjjjjiiifffbbb]]]ZZZZZZ\\\___aaaaaa___]]][[[[[[[[[\\\\\\[[[YYYXXXWWWTTTUUUVVVWWWWWWVVVVVVUUUTTTRRROOOKKKIIIJJJNNNRRRTTTVVVYYY^^^dddkkkqqquuuvvvyyy|||~~~|||{{{||||||{{{zzz{{{yyywwwwwwxxxxxxwwwvvvvvvtttrrrrrruuuwwwxxxxxx{{{zzzzzzyyyxxxwwwvvvvvvtttsssqqqooollljjjhhhgggiiiiiihhhgggfffeeeddddddeeeddddddccccccbbbaaaaaa``````______^^^]]]]]]]]]\\\[[[ZZZYYYXXXXXXXXXXXXZZZ[[[]]]^^^^^^]]][[[ZZZYYYWWWUUUTTTTTTSSSQQQOOONNNNNNNNNNNNMMMMMMMMMMMMLLLKKKJJJHHHGGGFFFEEEEEEBBBBBBAAA???>>><<<;;;;;;<<<;;;:::999888777666666888777777666555555444444555444444444444444444555666666555555555555666666999999999999::::::::::::;;;::::::999888888777777666666666555555555444444666333000///000000///...222222222222222222222222111111111111111111111111222222222222222222222222111222222333333333333333444444555666666777888888888888999::::::;;;;;;<<<>>>???@@@AAABBBCCCDDDEEEEEEEEEGGGHHHJJJLLLMMMNNNTTTVVVYYY[[[\\\^^^aaacccbbbccceeegggggggggfffeee]]]\\\ZZZYYYWWWWWWWWWXXXZZZWWWTTTSSSUUUXXXXXXXXXZZZ[[[]]]^^^^^^]]]\\\\\\XXXXXXYYYZZZ\\\^^^___```eeefffhhhjjjkkkkkkjjjjjjiiigggeeecccaaa`````````^^^]]]\\\ZZZYYYYYYYYYYYY\\\]]]___aaaaaaaaa```___```___```ccciiiqqqxxx{{{|||wwwsssppplllgggdddffffffggglllpppqqqnnnkkkddd___VVVMMMGGGAAA<<<:::444111...,,,,,,,,,+++***nnnkkkgggffffffggggggfffjjjjjjjjjkkkllllllmmmmmmsssvvvzzz}}}xxxwwwvvvwwwyyy|||~~~}}}}}}yyywwwsssoookkkhhhffffffiiikkkmmmmmmiiiaaaZZZTTTKKKKKKLLLRRRYYY```eeeggghhhccc\\\TTTLLLDDD<<<666222000---,,,------,,,+++,,,,,,,,,,,,++++++++++++***************)))))))))***(((&&&&&&'''))))))(((,,,+++***************+++*********)))))))))))))))))))))))))))))))))(((''')))))))))(((''''''&&&&&&'''&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&%%%%%%(((***---///000...)))&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''((()))))))))+++---...---)))%%%"""&&&&&&''''''''''''&&&&&&%%%%%%&&&''''''''''''&&&&&&'''((()))+++---///111444555666666555555666888777777777777777666555555555666666666777:::???CCCFFFIIINNNRRRUUUYYY]]]```dddcccaaa^^^[[[WWWSSSQQQSSSUUUVVVXXXZZZ^^^cccfffdddeeeffffffccc___ZZZWWWVVVYYY\\\```bbbbbbaaa``````___]]]\\\ZZZXXXWWWVVVWWWWWWWWWVVVSSSPPPNNNLLLLLLLLLLLLKKKLLLPPPVVVZZZ^^^```eeejjjpppuuuzzz|||||||||~~~}}}|||}}}}}}|||{{{}}}zzzwwwvvvvvvwwwvvvvvvwwwtttrrrrrrtttvvvwwwwwwxxxxxxwwwvvvuuutttssssssooonnnllljjjhhhfffddddddffffffeeedddcccbbbbbbaaaccccccbbbbbbaaa``````____________^^^]]]]]]\\\\\\[[[ZZZYYYXXXWWWWWWWWWWWWXXXYYYZZZ[[[[[[ZZZYYYXXXWWWUUUSSSRRRQQQPPPNNNLLLLLLLLLLLLKKKKKKKKKJJJJJJHHHGGGGGGFFFEEECCCBBBAAA>>>>>>===<<<:::999888888999999888777666555555444555555555444444333333222444333333333333333333444555444444333333444444555666666666666777777777777777777777666555555444444555555555444444444333333222000///000111111000///111111111111111111111111////////////////////////111111111111111111111111000111222222333333222222333444444555555666666777666666777888888999999:::;;;;;;<<<<<<===>>>>>>???>>>???@@@AAACCCEEEFFFFFFFFFIIILLLNNNOOORRRUUUWWWWWWYYY\\\```ccceeeffffff^^^]]]ZZZWWWUUUUUUUUUVVVVVVTTTRRRRRRTTTVVVWWWWWWZZZ[[[\\\^^^^^^^^^]]]\\\WWWVVVVVVVVVVVVWWWXXXXXX[[[___dddiiilllllljjjhhheeedddbbb```___^^^]]]]]]ZZZYYYXXXXXXWWWWWWXXXXXXZZZ[[[]]]^^^_________^^^```______aaafffnnnvvvzzz~~~}}}|||{{{xxxssskkkfffgggfffhhhmmmssswwwwwwuuulllfff\\\SSSLLLGGGCCCAAA777444111///...---,,,+++qqqnnnjjjhhhhhhiiihhhgggjjjkkkkkklllmmmmmmnnnnnnsssvvvzzz}}}~~~wwwvvvuuuvvvyyy{{{|||{{{xxxwwwuuurrroookkkiiigggiiillloooppplllfff^^^YYYPPPOOOOOORRRYYY```fffhhhhhhddd^^^XXXPPPGGG>>>888555222///---------,,,,,,------,,,,,,,,,+++++++++************************)))'''%%%%%%&&&''''''''',,,+++******)))))))))))))))))))))))))))*********(((((()))))))))((((((''')))))))))(((''''''&&&&&&''''''&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%((()))'''''''''''''''''''''''''''''''''&&&&&&'''''''''&&&&&&'''(((((('''&&&&&&$$$''',,,///000---***'''(((((((((((('''''''''&&&%%%&&&&&&''''''''''''''''''''')))+++...000222333666777888777666555666777777777777777777666666555444555777777999<<>>;;;;;;:::999888888777777777666666555444444333333444444444333333222222222333222222111111222222333444333333222222333333444444444444555555555666666555555555444444333333333444444333333333222222222111000000000222222000...//////000000000000111111////////////////////////000000000000000000000000///000111111222222111111333333333333444444555555555555666666777888888888:::::::::::::::;;;;;;;;;;;;;;;<<<===>>>@@@@@@AAAAAACCCEEEFFFGGGIIIKKKMMMKKKMMMQQQUUUYYY\\\^^^___^^^\\\YYYUUUSSSSSSTTTTTTRRRQQQPPPPPPQQQSSSUUUVVVVVVWWWYYY[[[[[[[[[[[[[[[VVVUUUTTTSSSRRRRRRRRRRRRSSSWWW\\\bbbeeegggfffeeebbbaaa```^^^\\\ZZZYYYXXXUUUUUUUUUUUUUUUVVVVVVWWWWWWXXXYYY[[[]]]^^^^^^^^^___^^^^^^___ccciiiqqqwwwyyyzzz}}}~~~yyyqqqkkkhhhggggggllltttzzz||||||ssslllbbbYYYRRRLLLHHHFFF;;;888444111///...,,,***sssppplllkkkkkkkkkkkkjjjjjjkkkkkklllmmmnnnoooooooooqqquuuwwwzzz}}}{{{xxxvvvuuuvvvxxxxxxxxxwwwvvvvvvtttrrrooommmkkkjjjlllnnnnnnlllfff```]]]VVVTTTRRRTTTYYY___dddfffgggddd___ZZZSSSJJJBBB<<<999555111.........---,,,---------,,,,,,,,,++++++***************+++++++++---***((((((***++++++***+++***)))((((((((((((((()))))))))))))))*********&&&''''''(((((('''''''''''''''''''''(((((((((((((((''''''''''''''''''((('''''''''&&&&&&%%%%%%%%%&&&%%%###$$$&&&((()))***'''''''''''''''''''''''''''''''''&&&&&&'''''''''&&&'''((()))((('''%%%$$$$$$&&&)))---///000000///))))))((((((''''''''''''&&&&&&&&&&&&''''''((((((((()))+++...000333444555666888888888666555666777888777777666666666666666444666888999;;;>>>BBBFFFFFFHHHKKKMMMOOOTTTYYY]]]___]]]ZZZWWWUUUTTTTTTUUUZZZ[[[[[[[[[ZZZZZZ\\\^^^[[[[[[\\\\\\[[[XXXUUUSSSRRRUUUYYY^^^bbbdddffffffcccbbb___\\\YYYWWWVVVUUUXXXWWWVVVSSSPPPNNNKKKJJJNNNQQQTTTXXX\\\bbbhhhlllppprrrvvv{{{~~~}}}|||{{{xxxuuuuuuwwwyyy{{{{{{yyywwwtttssstttvvvvvvvvvssssssrrrpppooonnnllllllhhhgggfffeeedddccccccbbbdddccccccbbbbbbaaaaaaaaa```______^^^^^^]]]\\\\\\]]]]]]]]]\\\[[[[[[ZZZZZZZZZYYYXXXWWWWWWVVVWWWWWWVVVVVVVVVVVVUUUTTTTTTSSSSSSQQQNNNMMMMMMLLLIIIGGGFFFFFFFFFEEEDDDCCCCCCCCCAAAAAABBBBBBAAA???===<<<999999888888777777666666444444444333333222222111444333333333333333222222111111000000000000111111444333333222222333333444444444444444555555555555444444444444333333333333222222222222111111111111...---------...---+++))).........//////000000000000000000000000000000000////////////////////////...///000000111111000000222222222222222333333333444555555666777777888888999999999999::::::::::::777777888888999:::;;;;;;???@@@BBBBBBAAAAAACCCDDDDDDFFFHHHLLLOOORRRTTTUUUZZZXXXVVVSSSQQQQQQRRRRRRNNNNNNNNNNNNOOOPPPRRRSSSSSSUUUVVVXXXZZZZZZZZZYYYUUUTTTSSSQQQPPPOOOOOOOOONNNOOORRRVVVYYY\\\^^^______^^^]]][[[YYYWWWUUUTTTQQQQQQRRRSSSTTTTTTTTTUUUTTTUUUWWWYYY[[[\\\^^^^^^^^^^^^^^^^^^```eeelllrrrrrruuuzzz~~~}}}wwwrrrjjjhhhgggkkkrrrxxxzzz{{{vvvpppfff]]]VVVPPPLLLIII@@@===888444222///,,,***yyyvvvrrrpppooopppooonnnllllllmmmmmmnnnnnnnnnooonnnpppsssvvvwwwyyy|||}}}xxxuuutttttttttsssssstttvvvwwwvvvtttrrrqqqllllllllljjjhhheeebbb```[[[XXXVVVVVVYYY]]]```bbbeeeccc___ZZZUUUNNNGGGBBB===999444000//////......------------,,,,,,,,,,,,*********+++++++++++++++,,,***(((((()))++++++******)))((((((((((((((((((*********)))))))))))))))%%%&&&&&&'''''''''''''''%%%&&&&&&'''((()))******((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&%%%%%%+++(((&&&'''))))))(((&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&''''''((('''&&&%%%$$$%%%&&&'''***---000222333+++***)))(((((('''((((((''''''&&&&&&''''''((())))))+++---000333555666666666777888777666555666777888888777666666666666666555777999:::<<>>???>>>>>>===<<<;;;;;;777777777666666666666666333333222222222111111111222222222222222222222222000000////////////000000333222222111111222222333333333333444444444555555333333333333333333333333111111111000000000//////000///------......---+++,,,------......//////000000000000000000000000000........................---...//////000000//////111111111111111111111111333444444555555666777777888888888888888888999999888888888999999:::::::::;;;<<<===<<<;;;:::;;;<<<@@@AAACCCEEEGGGJJJLLLMMMQQQQQQPPPOOOOOONNNNNNNNNKKKLLLMMMMMMLLLLLLNNNPPPQQQSSSUUUWWWYYYYYYYYYYYYTTTSSSRRRPPPOOONNNNNNNNNKKKKKKKKKLLLNNNQQQSSSUUUXXXXXXXXXWWWUUUTTTRRRQQQOOOOOOQQQRRRRRRSSSSSSRRRRRRSSSUUUWWWZZZ\\\^^^______aaabbbaaa```bbbhhhnnnoooqqquuuzzz}}}~~~{{{xxxnnnkkkiiijjjooosssttttttsssnnnggg```ZZZUUUQQQNNNGGGCCC===999555222///,,,~~~zzzyyyxxxwwwuuusssrrrrrrqqqpppooonnnnnnqqqsssvvvwwwwwwxxxyyy{{{{{{zzz~~~{{{uuurrrpppooonnnppprrruuuxxxyyyxxxwwwuuuooommmjjjfffdddccccccccc___\\\YYYXXXYYY[[[\\\\\\```^^^ZZZWWWSSSNNNIIIEEE@@@<<<666222111000000///...------------,,,,,,,,,*********++++++,,,,,,,,,+++)))''''''((())))))))))))))))))((())))))******++++++******))))))((((((&&&&&&'''(((((((((((((((&&&&&&''''''((()))))))))'''&&&&&&&&&&&&&&&&&&'''%%%%%%&&&&&&&&&&&&&&&&&&(((((('''''''''&&&$$$###''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%%%%&&&&&&'''(((***---///000,,,+++***((((((((((((((((((''''''&&&''''''))))))+++---///222444666666777555666777777555555666777999888777666555666666777666888:::<<<===???CCCEEEGGGIIIKKKLLLMMMOOORRRUUUUUUSSSQQQPPPSSSXXX]]]aaaffffffeeeaaa]]]YYYXXXXXXWWWVVVTTTSSSSSSSSSTTTUUUVVVXXXZZZ]]]```bbbcccddd]]]]]]]]]\\\ZZZXXXVVVTTTUUUSSSPPPMMMLLLNNNPPPRRR[[[___dddjjjoootttyyy|||~~~|||zzz{{{zzzyyyyyy{{{}}}}}}|||xxxuuurrrqqqqqqrrrrrrrrrqqqpppooommmllljjjiiihhhdddddddddcccccccccccccccaaaaaaaaaaaaaaa`````````______^^^]]]]]]\\\\\\[[[\\\[[[[[[ZZZZZZYYYXXXXXXVVVUUUTTTSSSSSSRRRSSSSSSPPPOOONNNMMMMMMLLLLLLLLLIIIGGGFFFEEEFFFFFFDDDCCCBBBAAA@@@???>>>======<<<<<<;;;::::::999999999999444444444555555555555555222222222222111111111111000000000000000000000000//////............//////111111000000000000111111222222222222333333333333222222222222222222222222000000000/////////......111///------///000111000+++,,,,,,---......//////........................------------------------------...////////////...000000000000000000000000111222222333333444555555444444444555555666666666888888888888888999999999555777888777666555666888:::;;;<<<>>>@@@BBBDDDEEEGGGHHHIIIJJJKKKKKKJJJJJJIIIKKKLLLLLLJJJIIIKKKMMMNNNOOOQQQTTTVVVWWWWWWWWWQQQQQQOOONNNNNNMMMMMMMMMJJJIIIHHHGGGGGGHHHIIIJJJNNNOOOPPPRRRRRRRRRQQQQQQNNNOOOPPPQQQRRRRRRQQQQQQQQQRRRTTTVVVYYY\\\^^^```bbbeeefffeeebbbbbbgggkkkqqqqqqrrruuuyyy|||}}}}}}sssoookkkkkkmmmooonnnlllmmmjjjeeebbb___\\\XXXUUUNNNIIICCC>>>:::666333000~~~|||zzzyyywwwuuusssqqqooonnnqqqrrrtttuuutttssstttuuuyyyvvvyyy}}}vvvqqqnnnmmmkkkmmmpppuuuyyy{{{{{{zzzyyyrrrnnniiidddaaabbbdddeeebbb___[[[YYYYYYZZZYYYXXX[[[YYYUUURRROOOLLLGGGDDDBBB>>>888333111111111000......---------,,,,,,,,,*********++++++,,,,,,,,,///---+++***,,,---------***)))))))))***+++,,,,,,,,,++++++***)))(((((('''''''''((())))))***))))))'''''''''(((((((((((((((&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&'''''''''"""%%%&&&&&&###"""###%%%''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((***++++++---,,,***(((((((((((()))(((''''''&&&&&&((()))***---...111333555666777777333555666666555555666888999888666555555555666777777999;;;<<<===???CCCEEEGGGIIIKKKLLLMMMNNNPPPRRRRRRPPPNNNOOOSSSZZZaaaeeekkkkkkiiiddd___ZZZXXXXXXWWWUUUSSSQQQQQQRRRTTTVVVYYYZZZ[[[^^^___aaabbbbbbZZZ[[[\\\\\\[[[YYYVVVTTTNNNLLLJJJIIIKKKPPPVVVZZZaaaeeekkkqqqwww|||~~~{{{yyy}}}|||{{{{{{}}}}}}|||zzzvvvtttpppoooooopppppppppqqqpppooommmkkkiiihhhgggbbbbbbbbbccccccccccccccc```````````````_______________^^^^^^]]]\\\\\\[[[[[[[[[[[[ZZZYYYYYYXXXXXXTTTSSSRRRQQQQQQPPPPPPPPPMMMMMMLLLJJJJJJIIIIIIIIIEEECCCBBBBBBCCCCCCBBBAAAAAA@@@???>>>===<<<;;;;;;:::999888666666666777888333333333333333444444444222222222222111111111111.........///////////////.........------.........//////............//////111111111111222222222222000000000000111111111111000////////////.........+++)))'''(((***---//////++++++,,,------...//////------------------------------------------------,,,---......//////......000000000000000/////////000000000111222222333333000111111222333333444444222222222222222333333333222444555555444444666777555555666777999<<<>>>???@@@AAADDDGGGHHHHHHGGGFFFHHHKKKLLLKKKIIIGGGIIIKKKIIIKKKMMMPPPRRRSSSSSSSSSOOOOOONNNMMMMMMMMMMMMMMMIIIHHHGGGFFFDDDCCCCCCBBBGGGHHHKKKNNNPPPQQQQQQQQQNNNOOOPPPQQQRRRQQQPPPPPPQQQQQQSSSVVVYYY\\\___aaadddhhhjjjhhheeecccfffjjjtttrrrqqqrrrvvv{{{~~~wwwsssnnnllllllllliiifffhhhfffdddcccbbb```]]]ZZZRRRNNNHHHBBB>>>:::555333}}}zzzyyyxxxwwwuuutttwwwvvvuuussssssrrrrrrrrrttttttuuuxxxuuuooommmlllkkkppprrruuuxxxzzzzzzxxxwwwuuusssoooiiidddcccdddfffbbbaaa```]]][[[XXXWWWVVVTTTSSSQQQNNNLLLKKKJJJJJJHHHEEE@@@;;;666333111000000...,,,,,,,,,,,,***)))------,,,,,,,,,---............---,,,+++++++++++++++++++++************)))))))))))))))))))))))))))(((((())))))******++++++))))))((('''''''''''''''%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$'''''''''''''''''''''''')))((('''&&&%%%%%%&&&''''''&&&%%%%%%%%%%%%&&&'''$$$$$$%%%%%%%%%&&&&&&&&&'''&&&%%%&&&'''(((((('''******+++,,,+++)))&&&%%%((('''&&&'''(((+++---///000111222333444444444444444555666777777888777777666555333222333666999;;;;;;<<<===???AAADDDFFFHHHKKKLLLMMMOOOOOONNNMMMMMMMMMNNNPPPQQQUUU[[[bbbhhhllllllkkkjjjgggccc___]]]YYYWWWSSSSSSTTTVVVWWWXXXYYYZZZ\\\^^^^^^^^^\\\[[[\\\ZZZWWWWWWWWWTTTPPPLLLGGGIIIKKKNNNRRRXXX^^^cccmmmqqqvvv|||{{{yyyyyyyyyzzzzzzxxxuuurrrppppppooooooooooooooopppqqqpppoooooommmllljjjhhhgggddddddccccccbbbaaa``````aaaaaaaaaaaa````````````______^^^^^^]]]]]]]]]]]]XXXYYYYYYWWWUUUTTTUUUWWWTTTSSSQQQPPPNNNMMMMMMMMMLLLKKKJJJGGGFFFDDDCCCCCCBBBBBBAAAAAA@@@???>>>>>><<<<<<;;;::::::999888888555444444444444333333333222222222111111111000000000000000000000000000000,,,---......//////......000---,,,---///000...,,,'''***---............///---.........//////000000////////////////////////......---------,,,,,,,,,+++,,,,,,------,,,,,,+++++++++---............---.........------,,,++++++------------------------------------------------111333000)))***111444333111111000000000000111111111111111111111111111111111111222222222333333333333333222222333333444555444444333333444555777888:::<<<>>>???@@@AAACCCEEEFFFFFFFFFGGGGGGGGGHHHHHHHHHJJJLLLLLLLLLMMMNNNPPPNNNMMMMMMKKKJJJIIIHHHGGGFFFEEEDDDCCCBBBAAAAAAAAAAAABBBDDDGGGJJJNNNQQQSSSOOOPPPQQQPPPOOOPPPRRRSSSPPPSSSVVVXXXYYY[[[]]]___hhhjjjmmmmmmmmmllllllmmmuuummmjjjqqqwwwyyy{{{~~~~~~yyysssmmmhhhdddbbbeeedddccccccdddcccaaa___YYYUUUPPPJJJDDD===666222}}}{{{wwwvvvuuusssrrrrrrrrrrrrsssssssssuuuzzzyyyrrrpppoooooossstttwwwzzz|||{{{{{{zzzxxxvvvqqqkkkfffcccccceeefffeeecccaaa^^^ZZZXXXVVVRRRRRRQQQOOOMMMLLLKKKJJJJJJHHHEEE@@@;;;777333111000///------------,,,***------,,,,,,------......///...---,,,+++++++++++++++++++++************)))))))))))))))))))))))))))(((((())))))))))))))))))))))))((('''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''(((((('''&&&%%%&&&'''''''''&&&%%%%%%%%%%%%&&&'''$$$$$$%%%%%%%%%&&&&&&&&&'''''''''((()))***))))))***+++,,,,,,+++)))'''&&&''''''''''''))),,,///000111222333444555555555555555666666777777777777666777666555555666999<<<===>>>???AAACCCFFFJJJLLLNNNNNNNNNOOOOOONNNNNNMMMMMMLLLMMMPPPRRRUUU[[[aaaeeekkkkkklllkkkiiifffcccaaaYYYWWWTTTSSSUUUWWWXXXYYYZZZ[[[]]]^^^^^^]]]\\\[[[YYYWWWUUUTTTTTTQQQMMMJJJJJJLLLNNNRRRWWW^^^fffllluuuxxx|||{{{xxxxxxxxxxxxvvvtttrrrpppnnnnnnmmmmmmmmmmmmnnnoooooooooooonnnmmmllljjjhhhgggddddddccccccbbbaaaaaa```bbbbbbaaaaaaaaa`````````______^^^]]]\\\\\\[[[[[[[[[YYYWWWUUUSSSRRRQQQQQQRRRQQQPPPNNNMMMLLLKKKKKKIIIHHHFFFDDDCCCAAAAAA@@@?????????>>>===<<<<<<<<<;;;;;;::::::999888888777555555444444333333222222222222111111111000000000000000000000000000000000,,,------...............///---,,,---//////...,,,---///111222111111222333------......////////////...........................------------,,,,,,,,,+++,,,,,,------,,,,,,+++,,,,,,,,,,,,,,,---------,,,,,,,,,---------------------------------------------------------------+++---+++&&&&&&,,,...---......------------......000000000000000000000000000000000000111111111222111111000000111111222333111111111111222444666777666888:::<<<<<<>>>@@@BBBEEEFFFFFFGGGHHHHHHIIIIIIHHHJJJKKKLLLKKKKKKLLLNNNLLLLLLKKKJJJIIIHHHHHHGGGHHHGGGEEECCCAAA???>>>>>>>>>???@@@CCCFFFIIILLLNNNOOOPPPQQQQQQOOOOOOPPPRRRSSSUUUWWWYYYZZZ[[[]]]___fffhhhkkkmmmmmmlllmmmnnnuuummmiiinnntttwwwzzz~~~|||xxxrrrkkkeeeaaabbbbbbccceeefffdddaaa^^^[[[XXXRRRMMMGGGAAA;;;666zzzyyyxxxvvvuuuttttttttttttsssrrrsssuuuzzz~~~~~~wwwtttssssssvvvxxxzzz|||}}}~~~}}}}}}|||zzzvvvoooiiidddbbbcccffffffeeeccc```\\\XXXUUUNNNNNNNNNMMMLLLJJJIIIHHHMMMMMMKKKHHHBBB<<<666222111///...---......---,,,------,,,,,,---......//////...---,,,+++++++++++++++++++++************)))))))))))))))))))))))))))))))))(((((((((((((((((()))((((((''''''''''''(((&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&'''(((((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&%%%&&&&&&'''((()))))))))***+++,,,,,,+++***)))''''''''''''(((+++...000222222333444555666666666666666777777777777666666555999999888888:::===???AAABBBDDDFFFJJJNNNQQQTTTVVVSSSRRRPPPOOONNNMMMMMMNNNKKKMMMQQQTTTVVVZZZ___bbbggghhhiiijjjjjjgggeeecccZZZWWWUUUUUUVVVYYYZZZZZZZZZ[[[\\\]]]]]]\\\ZZZYYYWWWUUUSSSRRRQQQOOOLLLJJJNNNQQQUUU[[[aaajjjrrrxxx~~~yyyvvvwwwvvvtttqqqooommmllllllkkkkkkkkkkkkkkklllmmmmmmoooooonnnmmmkkkiiihhhgggddddddccccccbbbaaaaaaaaabbbbbbbbbbbbaaaaaaaaaaaa______^^^]]][[[ZZZYYYYYYYYYVVVRRRRRRRRRRRRPPPMMMPPPOOOMMMKKKJJJIIIIIIIIIEEEDDDBBB@@@???=========;;;;;;;;;::::::999999888999999999888777777666666555555444333222222111111111111111111000000000000........................,,,,,,---..................---,,,---...///...,,,---///000000//////000222---------............///------------------------------------,,,,,,,,,,,,++++++,,,,,,,,,,,,++++++------+++******+++,,,,,,******+++,,,,,,---......,,,,,,,,,,,,------------------------------------,,,...---******...///...000//////......//////000////////////////////////....../////////000000000...............///000000.........///000111333444111333555777888999<<<>>>CCCDDDEEEFFFGGGIIIIIIJJJHHHJJJKKKKKKJJJIIIJJJKKKIIIIIIIIIIIIHHHHHHGGGGGGJJJIIIGGGDDDAAA>>><<<;;;:::;;;<<<>>>@@@CCCEEEFFFLLLNNNPPPPPPOOOOOOOOOPPPVVVWWWXXXYYYYYYZZZ\\\^^^bbbeeeiiikkklllmmmnnnpppuuummmhhhjjjooosssxxx|||yyyqqqhhhcccaaabbbcccfffgggeeeaaa]]][[[XXXSSSOOOJJJDDD???;;;}}}{{{yyyxxxwwwwwwvvvuuutttssstttwwwzzz||||||yyywwwwwwyyyzzz{{{|||~~~~~~{{{tttllleeebbbaaaaaabbbccccccaaa]]]YYYWWWQQQQQQQQQPPPOOOMMMKKKJJJMMMNNNOOONNNIII@@@888333222000...---.........---------,,,------...///000///...---,,,,,,++++++,,,+++++++++*********))))))))))))))))))))))))))))))))))))((((((''''''&&&&&&)))(((''''''''''''((((((&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''"""###$$$%%%%%%%%%'''(((***++++++,,,++++++***)))''''''(((***---000222444444444555666666666666666777777888777777666555444999999999;;;===@@@BBBDDDFFFHHHKKKOOOSSSWWWZZZ[[[WWWUUURRROOOMMMMMMNNNOOOLLLOOOSSSVVVXXX[[[^^^```bbbdddfffhhhgggeeecccaaaZZZXXXVVVVVVXXXZZZZZZZZZYYYYYYZZZZZZZZZYYYXXXWWWUUUTTTSSSRRRQQQPPPOOONNNTTTYYY```hhhpppwww}}}|||wwwttttttrrrooollljjjiiiiiijjjkkkjjjjjjjjjkkklllmmmmmmoooooonnnmmmkkkiiigggfffcccccccccbbbbbbbbbaaaaaacccbbbbbbbbbaaaaaaaaaaaa``````^^^]]][[[ZZZYYYXXXUUUQQQMMMNNNSSSUUURRROOOMMMLLLKKKIIIHHHGGGGGGFFFAAA@@@???===;;;:::::::::888888888777777777666666777777666666666555555555444444333222111000000///111111000000000/////////------------------------,,,,,,---.........------------------------------,,,---......,,,,,,...///---------------------------------------------------------,,,,,,,,,++++++++++++,,,,,,,,,,,,++++++///---+++)))))))))+++,,,***+++++++++,,,,,,,,,---,,,,,,,,,,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,...///000//////111111000000000////////////000000------------------------............////////////---------------...//////............/////////000---///222333444666888:::??????AAABBBDDDFFFGGGHHHHHHIIIKKKKKKIIIHHHHHHHHHFFFFFFFFFFFFFFFGGGGGGGGGIIIHHHFFFDDDAAA>>><<<;;;999999999:::;;;===>>>???FFFHHHLLLNNNNNNOOOQQQRRRVVVWWWXXXWWWVVVWWWZZZ\\\___bbbfffiiikkklllooopppuuuoooiiihhhkkkpppuuuxxx~~~xxxpppjjjcccbbbbbbddddddcccaaa^^^ZZZWWWSSSOOOKKKGGGBBB>>>}}}{{{zzzyyywwwvvvtttssstttuuuxxxyyy{{{~~~{{{zzz{{{{{{{{{|||}}}~~~~~~xxxooogggbbb```]]]___aaaccccccbbb___^^^YYYYYYXXXVVVTTTRRRPPPOOOLLLOOORRRRRRNNNEEE<<<555444111...------...------------------...///000111//////...---,,,,,,,,,,,,+++++++++*********))))))))))))))))))))))))))))))))))))((((((''''''&&&&&&((((((''''''''''''((((((&&&''''''((((((''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''!!!###%%%%%%$$$$$$&&&((()))*********++++++******'''(((***,,,...111333444555555666666777777666666777777888777777666555444888999:::<<<>>>AAADDDFFFHHHJJJNNNRRRVVVYYY\\\]]]YYYVVVRRROOOMMMMMMOOOPPPMMMPPPUUUXXXYYY[[[]]]___aaaccceeeggggggdddaaa___[[[YYYWWWWWWYYYZZZZZZYYYVVVVVVWWWWWWWWWVVVVVVVVVRRRSSSSSSSSSSSSTTTUUUVVV\\\cccnnnwww~~~}}}xxxtttrrrqqqooollliiigggggghhhhhhkkkkkkkkkkkklllmmmnnnooonnnnnnnnnlllkkkiiigggfffcccccccccbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaa`````````___]]][[[ZZZYYYXXXUUUPPPMMMNNNRRRSSSQQQMMMKKKJJJIIIGGGFFFEEEDDDDDD>>>>>><<<:::999888888888666666666666555555555555444444444444444333333333333222222111000000//////000000000/////////......,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,---...---------,,,---------,,,,,,---------...//////...---...000------------,,,,,,,,,,,,++++++++++++++++++++++++------,,,,,,,,,+++++++++***++++++,,,,,,++++++***///---+++)))))))))+++,,,,,,,,,+++++++++*********+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,+++++++++------,,,,,,---,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,............/////////000---------------...//////000000000///...------,,,,,,...111222222333555777888999;;;<<<>>>@@@BBBCCCDDDGGGIIIJJJHHHGGGGGGGGGDDDDDDDDDDDDDDDEEEEEEEEEEEEEEEEEECCCBBB@@@>>><<<::::::999999999999:::;;;>>>AAAFFFIIILLLOOOSSSUUUVVVWWWWWWWWWVVVVVVXXXYYY\\\___dddgggiiijjjmmmnnntttpppkkkhhhiiinnnsssuuuzzz~~~~~~wwwrrrhhhfffbbb````````````___ZZZWWWTTTQQQOOOKKKGGGDDD~~~|||xxxwwwuuutttssstttvvvwwwyyy{{{}}}|||{{{{{{|||}}}{{{rrriiiccc```\\\^^^aaadddfffggggggggg^^^\\\YYYUUURRROOONNNMMMLLLPPPUUUWWWTTTLLLBBB<<<777444000.........------,,,,,,------...///111111000///...---,,,,,,,,,,,,+++++++++************)))))))))))))))))))))))))))))))))(((((((((((((((((((((''''''''''''(((((()))''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&''''''((('''''''''%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&''''''''''''%%%'''))))))&&&%%%(((***((((((((())))))******+++)))***,,,...000222444444555555666666666666666555666777777777777666666555777888:::===@@@CCCFFFHHHJJJLLLPPPSSSWWWYYYZZZZZZWWWUUURRROOONNNOOOPPPQQQOOOQQQUUUWWWXXXZZZ\\\^^^```cccfffhhhhhhfffccc```\\\ZZZXXXXXXXXXYYYXXXVVVTTTTTTUUUUUUUUUVVVVVVVVVSSSTTTWWWXXXYYY\\\___bbbiiipppzzz~~~~~~}}}}}}}}}~~~~~~||||||{{{yyyvvvsssqqqooonnnllljjjgggfffgggggghhhkkkkkkkkklllmmmnnnooopppnnnnnnmmmllljjjhhhgggfffbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaa````````````^^^^^^]]]\\\[[[YYYYYYXXXWWWSSSOOONNNNNNNNNKKKHHHHHHGGGEEEDDDBBBAAAAAAAAA<<<;;;:::888777666666666444444444444444444444444222222222222222222222222111000000000000/////////////////////............,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,---------------+++---...---,,,+++,,,---'''***,,,---,,,++++++,,,---,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++******++++++++++++******------+++******+++,,,,,,,,,,,,++++++***))))))(((******++++++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,+++)))))),,,,,,***+++---------,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,------........./////////...------------...//////000000000///...---,,,+++---///000111000111333444333444555777999:::<<<<<<>>>AAAEEEFFFFFFEEEEEEFFFBBBBBBBBBBBBCCCCCCCCCCCCBBBCCCCCCCCCBBBAAA???>>><<<;;;:::999888777777777888;;;@@@DDDIIINNNSSSWWWWWWXXXZZZZZZYYYYYYYYYZZZZZZ]]]aaadddfffgggiiijjjnnnooonnnkkklllqqqttttttxxxzzz}}}~~~{{{yyypppkkkeeeaaa____________\\\ZZZXXXVVVTTTRRRNNNLLL}}}|||zzzwwwvvvuuuvvvvvvvvvwwwyyy|||~~~|||{{{|||~~~|||tttkkkddd```]]]^^^aaadddgggiiijjjkkkbbb___ZZZTTTOOOLLLJJJJJJNNNSSSYYY]]][[[TTTLLLEEE<<<999444111000//////...,,,,,,------...000111222000///...------,,,,,,---+++++++++************)))))))))))))))))))))))))))(((((())))))))))))))))))'''''''''''''''((())))))''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&'''((((((((('''&&&%%%%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&''''''''''''&&&))),,,***&&&%%%'''***''''''''''''((()))***++++++,,,---///111333444444555555555666666555555444555666666777777777777666777999;;;>>>BBBFFFHHHJJJLLLNNNQQQTTTWWWXXXXXXWWWSSSRRRQQQOOOOOOPPPQQQRRROOOQQQSSSTTTUUUWWWZZZ\\\\\\___dddhhhiiigggdddbbb]]][[[YYYXXXXXXWWWUUUTTTTTTTTTTTTUUUVVVWWWXXXYYYXXX\\\___bbbeeeiiioootttxxx}}}~~~}}}}}}~~~}}}||||||{{{zzzzzzzzzzzzxxxwwwuuussspppooommmmmmkkkjjjiiihhhggghhhhhhiiikkkkkkkkkkkkmmmnnnooopppnnnnnnmmmllljjjhhhfffeeebbbbbbbbbbbbbbbbbbbbbbbb````````````_________^^^[[[[[[ZZZYYYXXXXXXWWWWWWTTTSSSPPPMMMKKKIIIGGGFFFDDDCCCAAA@@@>>>=========999888777666555444444444222222222222222222222222000000000000000000000000......////////////000000/////////.........------------------------------++++++,,,------------,,,+++---...---+++***,,,..."""%%%)))++++++***)))(((,,,,,,,,,,,,+++++++++***************************,,,,,,,,,++++++++++++*********++++++++++++******,,,,,,,,,,,,,,,---------***************))))))))))))******+++,,,,,,------++++++++++++++++++++++++///+++***......+++,,,000///..................///,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------,,,,,,------...///,,,---............---,,,---///000000///...000111000000222333555666777888777:::???BBBCCCCCCCCCDDDAAAAAAAAAAAAAAAAAAAAAAAABBBBBBCCCCCCBBBAAA>>>======<<<;;;999777666555555666999<<<@@@DDDKKKRRRWWWZZZ\\\```aaa```___^^^^^^ZZZ\\\```bbbcccccceeefffeeekkknnnnnnpppvvvyyywwwvvvvvvwwwwwwxxxxxxyyyzzzvvvqqqkkkfffbbb```___]]]\\\ZZZYYYXXXWWWUUURRRPPP|||zzzxxxwwwwwwuuuuuuvvvxxx{{{}}}|||}}}~~~}}}uuullleeeaaa\\\]]]___aaadddgggiiijjjkkkggg```XXXSSSOOONNNNNNQQQVVV]]]aaaaaaZZZRRRMMM@@@<<<777333111111000///,,,,,,------///000111222000000...---------------+++++++++************)))))))))))))))))))))))))))(((((())))))******++++++'''''''''''''''((()))***''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((((('''%%%$$$%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&'''''''''((((((&&&)))+++)))%%%"""%%%(((&&&&&&&&&&&&''')))***+++,,,---...000222333333444444555555555555555444444555555666777777888777777888:::<<<@@@DDDGGGJJJKKKNNNPPPRRRUUUWWWWWWVVVVVVQQQPPPPPPOOOPPPQQQRRRSSSNNNPPPQQQRRRSSSUUUXXXZZZWWW[[[```eeegggfffdddbbb]]][[[YYYXXXWWWVVVTTTRRRTTTTTTUUUVVVWWWYYYZZZ[[[```ccchhhlllpppuuu|||}}}||||||}}}~~~~~~~~~|||{{{zzzyyyxxxxxxxxxxxxvvvuuurrrooommmlllkkkkkkiiiiiihhhhhhhhhiiiiiiiiijjjjjjjjjkkklllmmmooopppnnnnnnmmmllljjjhhhfffeeebbbbbbbbbbbbbbbbbbcccccc```_________^^^^^^^^^^^^XXXXXXXXXWWWWWWVVVVVVVVVOOOOOONNNLLLHHHGGGGGGHHHAAA@@@>>>===;;;:::::::::777666555444333333222222000000000111111111111111/////////000000000000000------......///000000000//////.........---------------------------------++++++,,,---------,,,,,,***,,,...---+++***,,,...###''',,,//////...,,,+++,,,,,,,,,++++++*********)))))))))))))))))))))))),,,,,,,,,+++++++++************++++++++++++******+++,,,---...............(((((())))))******++++++))))))***+++,,,,,,------++++++++++++++++++++++++///***))),,,---***+++000,,,++++++******++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,,,,,,,++++++,,,,,,---...((()))+++---.........------/////////------.../////////000111333444555555111555:::>>>@@@AAABBBCCCAAAAAAAAA@@@@@@@@@??????BBBCCCDDDDDDBBB@@@===<<<>>>===;;;888666444333333777888:::===AAAHHHPPPVVV\\\```dddffffffdddbbbbbbZZZ\\\___aaaaaaaaabbbccc___hhhnnnpppttt{{{}}}{{{vvvuuurrrqqqqqqsssvvvxxxyyyuuupppkkkgggbbb^^^[[[ZZZYYYWWWWWWVVVUUURRRPPP~~~}}}{{{yyyvvvvvvvvvuuuwwwzzz~~~}}}}}}yyytttoooiiieeeaaaaaaaaabbbdddfffhhhjjjkkkjjjeee]]]TTTNNNMMMMMMOOOSSSZZZaaaeeeccc]]]XXXIIIBBB:::555555444111---111000...------......///000000000000///...---,,,************************((((((''''''&&&&&&&&&%%%(((((())))))(((((('''&&&***)))(((''''''((()))***'''((((((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%%%%'''((('''&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%%%%'''((((((((('''&&&''''''&&&&&&'''))),,,...//////111222444555777777777666666666666777777888666888::::::888888888999999:::<<<>>>BBBHHHPPPUUUSSSTTTVVVXXXXXXXXXWWWVVVRRRPPPOOOOOOOOOOOONNNLLLMMMOOOQQQTTTVVVVVVUUUUUUYYY[[[^^^aaabbbbbbaaa```ZZZZZZYYYXXXVVVUUUTTTTTTRRRTTTUUUUUUUUUYYYaaagggffflllttt{{{}}}zzzyyyxxxxxxxxxyyyyyyzzz{{{}}}}}}zzzxxxvvvvvvvvvvvvuuutttsssooojjjhhhhhhhhhgggeeeeeeeeefffggghhhiiijjjjjjkkkkkkllllllmmmnnnnnnnnnllllllkkkjjjhhhgggffffffcccbbbaaa```````````````aaabbbbbbbbbaaa^^^\\\ZZZWWWVVVUUUUUUUUUTTTQQQNNNPPPNNNJJJFFFDDDBBBBBBBBB???>>><<<:::999999999:::555555444333333222111111111000000///////////////////////////////////////........................---...///000000...,,,+++......---,,,,,,++++++***........................,,,,,,,,,+++))))))+++---,,,++++++******++++++,,,(((((()))***+++,,,,,,,,,---,,,+++***))))))))))))++++++++++++++++++++++++************************)))***,,,------,,,***))),,,++++++******++++++,,,***+++---//////---+++***************)))))))))(((************************+++***)))((((((***,,,---"""%%%))),,,,,,------...........................***)))(((((()))+++---...*********++++++,,,,,,,,,((()))******)))***,,,...////////////000000000000111222333555888:::<<<===>>>????????????>>>=========>>>>>>>>>>>>????????????>>>;;;999777666555555111333666999===CCCJJJOOOZZZaaajjjoooooojjjeeebbb[[[ZZZYYY\\\```cccbbbaaaaaadddiiirrryyy}}}{{{xxxzzzsssooopppooolllnnnuuutttvvvwwwrrrjjjccc```___```\\\WWWUUUVVVWWWWWWUUU|||yyyxxxwwwvvvvvvxxx{{{~~~|||zzzvvvrrrlllhhhdddcccbbbbbbcccfffhhhjjjiiihhheee___XXXRRRPPPPPPKKKOOOVVV]]]cccdddaaa^^^NNNGGG===888666444111---000000///...............////////////...---,,,,,,************************((((((((((((''''''''''''))))))))))))(((((((((((())))))(((((((((((())))))''''''((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%%%%'''((('''&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&'''((((((((('''&&&''''''&&&&&&(((***,,,...000000111222444555666666666666666666666777777888777888::::::888777888999999;;;===@@@EEEKKKSSSXXX[[[]]]^^^___^^^\\\ZZZXXXUUUSSSQQQQQQQQQQQQOOONNNLLLNNNPPPRRRTTTTTTSSSSSSTTTVVVZZZ]]]___```___^^^YYYYYYXXXWWWVVVUUUTTTTTTRRRTTTTTTTTTUUUZZZbbbiiisssxxx~~~|||zzzxxxwwwwwwwwwwwwxxxxxxyyy{{{}}}~~~~~~}}}{{{vvvtttrrrqqqqqqqqqpppoooqqqnnniiiggghhhhhhfffeeeeeeeeefffggghhhiiijjjjjjkkkllllllmmmmmmnnnoooooonnnmmmlllkkkiiigggffffffdddcccbbbaaa````````````aaaaaabbbbbbaaa___\\\[[[XXXWWWVVVUUUUUUSSSPPPMMMLLLJJJGGGDDDAAA@@@@@@@@@<<<;;;:::888777777777777444444444333222111111111111000//////......//////////////////////////////........................,,,---.........---,,,+++++++++++++++++++++,,,,,,------------------------,,,---,,,+++))))))+++---,,,++++++******++++++,,,))))))******++++++,,,,,,***)))))))))))))))******++++++++++++++++++++++++***************************+++,,,,,,,,,,,,+++***,,,++++++******++++++,,,,,,***(((&&&&&&(((***,,,++++++++++++************************************+++***)))((()))***,,,---'''))),,,---,,,+++***++++++++++++++++++++++++++++++***)))((()))***,,,---*********++++++,,,,,,,,,++++++,,,+++)))(((***+++------------.........///---...000111333555777777;;;<<<<<<======<<<<<<<<<============>>>>>>>>>>>>===<<<:::999888777888888444555777888;;;???EEEIIIUUU[[[dddlllnnnlllgggddd^^^\\\[[[\\\___```___]]]ZZZ\\\cccmmmwww}}}uuuppppppooommmoootttuuuvvvwwwtttnnnhhhdddaaaaaa]]]YYYWWWXXXYYYYYYXXX~~~}}}|||zzzxxxxxxzzz|||}}}|||{{{{{{zzzzzzzzzwwwssspppkkkiiieeebbbbbbdddgggiiifffgggeeeaaa\\\VVVSSSRRRJJJLLLQQQWWW]]]aaaaaa```UUUNNNCCC;;;777444111...///////////////......---...............---,,,+++************************((((((((()))))))))))))))+++***)))((('''(((((()))(((((())))))))))))((((((''''''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%%%%'''((('''&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%&&&''''''(((((('''''''''''''''((()))+++---///222222222333444444555555555555555666666777777777777999:::999888777888999999<<<@@@DDDIIIPPPWWW]]]dddeeeggggggeeebbb___\\\XXXVVVTTTSSSSSSSSSRRRPPPNNNOOOPPPRRRSSSSSSSSSRRRPPPRRRVVVYYY\\\\\\\\\[[[XXXXXXWWWVVVVVVUUUTTTTTTTTTTTTTTTTTTUUU\\\gggoooyyy~~~}}}{{{yyywwwvvvuuuuuuuuuuuuuuuvvvwwwyyyzzz{{{|||}}}~~~~~~|||zzzxxxtttrrrooonnnmmmmmmkkkjjjnnnkkkhhhfffffffffeeedddeeeffffffggghhhiiijjjjjjllllllmmmmmmnnnooooooooooooooommmkkkjjjhhhgggfffddddddcccbbbaaaaaaaaaaaa```aaabbbbbbaaa___]]]\\\YYYXXXVVVTTTSSSQQQNNNKKKHHHFFFCCC@@@>>>===<<<<<<999888777666444444444444333333222222111111000000000000///............///////////////////////////------------------------,,,,,,,,,+++++++++************+++,,,,,,---......++++++++++++++++++++++++,,,------,,,***)))+++,,,,,,++++++******++++++,,,*********+++++++++++++++))))))))))))***+++,,,---++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++************++++++---+++)))'''''')))+++---,,,,,,,,,++++++++++++***************************+++***)))))))))***,,,---)))+++------,,,*********************************++++++)))))))))***+++,,,*********+++++++++++++++---------+++)))''''''(((++++++++++++,,,,,,,,,,,,,,,,,,---///000222333333777777888999::::::::::::;;;;;;;;;<<<<<<<<<<<<===;;;:::999999999999::::::777777888777777999===@@@LLLRRR[[[eeelllmmmjjjfffaaa___^^^_________]]][[[WWWYYY^^^gggrrr|||xxxpppooopppoooppprrrvvvuuuuuuuuusssnnnhhhdddaaa^^^[[[YYYZZZ[[[[[[ZZZ~~~|||zzz{{{|||}}}{{{wwwtttuuuvvvyyy||||||{{{yyytttpppjjjeeebbbccceeegggeeeeeeeeeccc___YYYUUURRRLLLLLLMMMPPPUUUYYY[[[\\\[[[SSSIII@@@:::555222///...///000000000///---,,,------......---,,,,,,+++************************)))))))))******++++++++++++***(((&&&&&&'''((()))'''((()))******)))((('''''''''((((((((((((''''''''''''''''''''''''''''''((('''%%%%%%'''((('''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((())))))))))))&&&&&&&&&''''''''''''''''''(((((()))***---...000333333333444444444444444444555555666777777777777888999:::999888888:::;;;;;;???CCCIIINNNUUU[[[```ggghhhiiijjjhhhfffcccaaa[[[YYYVVVTTTTTTTTTSSSRRRQQQQQQQQQRRRRRRSSSSSSTTTQQQSSSVVVYYY[[[ZZZYYYXXXWWWWWWVVVVVVUUUUUUUUUTTTUUUUUUTTTTTTVVV___kkkttt{{{~~~~~~|||{{{zzzxxxvvvuuuttttttsssssssssssstttuuuuuuvvvyyyzzz{{{{{{zzzxxxvvvuuutttrrrooommmmmmllljjjhhhjjjiiigggeeeeeeeeeeeedddffffffggghhhiiijjjjjjkkkllllllmmmnnnnnnooooooppppppooonnnllljjjhhhgggfffeeedddcccaaa````````````___```aaabbbaaa___]]]\\\ZZZWWWTTTRRRPPPNNNJJJHHHCCCBBB@@@>>><<<:::::::::777666555444333222222222111111111000000000//////000///......------..............................------------------------,,,+++***)))))))))******,,,---------.........///,,,,,,,,,,,,,,,,,,,,,,,,------...---+++******,,,,,,++++++******++++++,,,+++++++++++++++++++++***+++++++++++++++,,,---...************************++++++++++++++++++++++++,,,++++++******++++++,,,++++++************++++++(((***,,,......,,,***(((,,,,,,+++++++++***************************************)))))))))***+++,,,(((***,,,---,,,+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***))))))******+++***************+++++++++,,,------,,,)))(((((((((*********+++++++++,,,,,,---......///000111222222333444555777888888999999999999999999:::::::::::::::::::::999999999999:::777777777666555666888:::DDDHHHRRR]]]gggkkkjjjhhhccccccbbbbbbaaa```^^^\\\]]]]]]___ccckkkttt|||yyyqqqnnnoooppppppooosssrrrqqqrrrsssqqqjjjeee```___\\\[[[[[[[[[\\\\\\}}}}}}}}}~~~yyytttpppppprrrwww|||{{{wwwqqqjjjeeeccccccdddeeeeeeeeedddaaa\\\WWWSSSNNNKKKIIIJJJNNNSSSVVVXXX\\\VVVMMMDDD===777333111...///000000000///---,,,---------...------,,,+++************************)))*********++++++,,,,,,***)))'''%%%%%%&&&'''((('''((()))******)))((('''''''''((((((((((((((('''''''''''''''''''''''''''((('''%%%%%%'''((('''&&&&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((&&&&&&&&&&&&''''''(((((('''((()))***,,,...000111444444444444444444444444444555666777888888888888999:::::::::999:::<<<>>>@@@CCCHHHMMMRRRWWW]]]```bbbccceeefffffffffeeeddd^^^[[[WWWUUUUUUTTTSSSRRRQQQPPPPPPPPPPPPQQQSSSSSSWWWXXX[[[\\\\\\ZZZXXXWWWVVVVVVVVVVVVVVVVVVVVVVVVSSSSSSRRRRRRUUU^^^kkkuuu~~~~~~}}}}}}yyyyyyxxxxxxwwwvvvuuutttrrrrrrqqqqqqqqqqqqrrrrrrvvvvvvwwwxxxwwwuuusssrrrrrrpppmmmlllkkkjjjhhhgggfffffffffeeedddddddddeeeffffffggghhhiiijjjkkkkkkllllllmmmmmmnnnooooooooopppooonnnllljjjhhhggggggeeedddbbbaaa```____________``````aaa```^^^\\\ZZZXXXUUUQQQNNNLLLJJJFFFDDD@@@???>>><<<:::999888888666666555444333222111111///////////////.........///......---------------,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,+++***)))))))))******...---------,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,---...///...+++******+++,,,++++++******++++++,,,,,,,,,,,,+++++++++++++++,,,,,,+++***************************************++++++++++++++++++++++++,,,++++++******++++++,,,+++******))))))******+++%%%&&&)))******)))&&&%%%+++*********))))))))))))***************************************+++++++++)))***,,,,,,+++++++++---------------------------++++++******************************************(((***,,,,,,***)))*********++++++++++++,,,,,,,,,---......///000000111111111222333555666777777777666666777777777888888888:::::::::999999888777777555666666555444444666888<<>>BBBFFFJJJOOORRRUUUWWWWWWVVVWWWWWWYYYXXXWWWXXX[[[```eeehhhgggddd^^^[[[ZZZYYYYYYXXXTTTSSSQQQPPPRRRUUUYYY\\\WWWYYY[[[\\\\\\[[[XXXWWWWWWWWWXXXXXXYYYZZZZZZZZZXXXZZZZZZ[[[___gggrrr{{{~~~~~~~~~yyyxxxwwwvvvuuuuuuuuuuuussstttvvvxxxyyyzzzzzzyyytttsssrrrpppoooooonnnnnnkkklllnnnpppqqqpppooonnnkkkiiigggfffggggggfffdddaaadddfffgggeeedddfffhhhgggggghhhiiijjjkkkkkkllliiiiiijjjkkkkkkllllllmmmjjjjjjjjjiiiiiiiiihhhhhhjjjiiihhhfffdddccccccccc^^^______]]][[[XXXTTTRRRMMMJJJEEEBBB@@@???===;;;777777777777666555444333222222333222111000...---,,,,,,,,,,,,,,,,,,,,,,,,...---,,,,,,++++++,,,,,,////////////////////////,,,,,,,,,,,,,,,,,,,,,,,,---...///000000...,,,+++,,,------......//////000************************---///000000---+++******,,,++++++++++++++++++,,,******+++,,,,,,---......++++++++++++,,,---......)))))))))))))))))))))))),,,,,,,,,,,,,,,,,,,,,,,,)))***,,,------,,,***)))******))))))))))))******''')))+++------+++)))''',,,,,,,,,+++++++++******************************))))))***++++++++++++***%%%'''((((((((((((+++---************************'''((()))++++++,,,,,,,,,+++*********))))))((((((&&&))),,,---,,,*********************++++++++++++))))))***,,,---...///000++++++,,,---............111111222222222333333333111222444666888888888777777888999888666555555666666<<>>===;;;;;;<<>><<<;;;;;;777666444333222111111111000000000000000000000000------------------------............---,,,,,,+++,,,,,,,,,------.........------,,,++++++,,,---------///111222111...***((()))***,,,------+++(((&&&------------------------///......---+++******))),,,++++++******++++++,,,************************)))+++++++++***)))***+++---------,,,,,,,,,++++++...---+++)))(((((()))***---,,,++++++******++++++---------,,,,,,,,,++++++))))))))))))))))))))))))---------,,,+++***)))((()))))))))***+++++++++,,,++++++++++++++++++++++++******))))))******+++,,,******+++,,,,,,,,,,,,+++'''((()))***************************************)))************+++++++++++++++******++++++,,,---,,,,,,++++++***)))(((((('''((()))***+++***))))))///............000222333222333333444555666777777888888888888777777777777777888888:::???GGGQQQXXXbbbggglllkkkfffaaa___```cccaaabbbgggjjjkkknnnsssyyyxxxvvvxxxyyyxxxuuussssssssstttuuu}}}}}}~~~~~~{{{vvvnnniiiyyyqqqnnnkkkggggggiiiqqqwww||||||{{{yyytttmmmgggdddbbbeeelllrrrttttttnnnfff[[[RRRMMMKKKIIIHHHIIIJJJJJJIIIFFFBBB===:::777444000//////000/////////...------------...///------,,,,,,,,,,,,++++++,,,,,,++++++++++++,,,,,,)))))))))))))))*********+++)))&&&%%%''')))***++++++++++++++++++******)))&&&''''''''''''''''''&&&))))))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))(((&&&$$$###$$$%%%%%%&&&''')))******)))'''&&&'''&&&&&&&&&&&&''''''(((,,,---...000222333444555444444444333333444777::::::>>>BBBDDDCCCAAA??????<<<>>>@@@DDDIIINNNSSSUUUUUUTTTSSSQQQPPPPPPQQQQQQSSSSSSTTTVVVYYY]]]```cccdddbbb``````aaa```]]]ZZZVVVTTTRRRSSSVVVYYYYYYXXXYYYZZZ\\\]]]]]][[[YYYXXX[[[\\\]]]^^^^^^]]]\\\\\\VVVYYY]]]aaagggnnnxxx~~~~~~}}}{{{yyyxxxvvvvvvuuuuuuttttttssstttuuuwwwxxx{{{|||~~~}}}}}}wwwwwwuuutttrrrpppooonnnnnnnnnnnnmmmmmmmmmmmmmmmjjjjjjkkkjjjiiihhhfffeeecccccccccddddddfffggggggiiiiiikkkllllllmmmmmmmmmlllkkkkkkjjjjjjjjjkkkkkkmmmllljjjjjjkkklllkkkjjjllliiigggeeedddbbb```]]]ZZZZZZYYYXXXUUURRRNNNLLLEEEDDDAAA===;;;999888888666555444222111000000000////////////////////////------------------------,,,------------,,,,,,+++,,,,,,,,,---------......---,,,++++++++++++,,,---,,,---///000///---+++)))***+++,,,,,,,,,+++)))(((++++++++++++++++++++++++---------,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,************************)))+++,,,+++***)))***+++,,,,,,,,,,,,++++++++++++------,,,******))))))))),,,+++******))))))******++++++******))))))))))))************************,,,,,,,,,,,,+++******)))***************+++++++++++++++++++++++++++++++++******))))))******+++,,,******+++,,,,,,,,,,,,+++))))))******+++*********************************)))************+++++++++++++++******++++++,,,---,,,,,,++++++***))))))(((---...///000000000/////////............///000000222222333444555666777777777777777777777777777777666777888999===CCCKKKQQQYYY___fffhhheeeaaa``````cccaaaaaafffiiiiiilllqqqzzz~~~{{{||||||zzzyyyxxxwwwxxxyyyzzz~~~{{{uuuqqqvvvpppkkkfffdddfffnnnuuu{{{}}}}}}|||vvvoooiiieeebbbdddjjjppptttuuussslllbbbXXXQQQLLLIIIGGGHHHIIIIIIIIIGGGDDDAAA???999666222000/////////...///...------------...///------,,,,,,,,,,,,++++++******))))))))))))******************))))))))))))%%%###""""""%%%(((******)))(((((('''''''''''''''''''''''''''''''''''''''(((((((((((((((''''''''''''''''''''''''''''''''')))((('''%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''(((((()))***,,,---///111333444444555333444444444444666999<<>>CCCGGGMMMUUU^^^ddddddbbbbbbbbbdddaaaaaaeeeggggggjjjnnnxxx~~~~~~|||wwwooohhheeefffkkkrrryyy|||}}}|||vvvpppiiifffbbbcccgggmmmqqqssssssnnnfff]]]UUUOOOKKKHHHFFFGGGGGGHHHGGGFFFDDDCCC<<<888444111000000///............------.........------,,,,,,,,,+++++++++))))))(((((((((((())))))++++++******))))))((((((%%%###""""""%%%((())))))((('''%%%$$$$$$$$$%%%&&&((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))((('''&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&'''(((((((((((()))***+++,,,---...000222333444555555333444555555555888<<>>;;;777444333222111222222111//////.........------------------------------------------------)))***++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++++++++*********+++,,,,,,---,,,,,,+++*********+++,,,------------------------,,,,,,,,,------------...,,,,,,,,,++++++,,,,,,,,,++++++++++++++++++++++++***+++,,,,,,******+++,,,+++++++++*********)))))),,,,,,---...---,,,+++***,,,++++++***************+++*********************************************)))***+++,,,,,,,,,,,,,,,,,,+++++++++***)))))))))))))))))))))))))))))))))******))))))******+++,,,******+++,,,,,,,,,,,,+++,,,,,,,,,,,,,,,+++***)))************************))))))*********+++++++++***************++++++,,,+++++++++*********))))))(((((())))))************)))***,,,---......------000111222333444555666777666666666666666777777777666777888888888:::===@@@DDDLLLWWW```dddeeefffffffffccccccfffgggfffhhhlllsss}}}yyy}}}}}}tttkkkgggggghhhpppwwwzzz{{{{{{vvvpppjjjgggcccbbbcccggglllnnnllljjjfff___XXXRRRNNNLLLFFFFFFFFFFFFFFFFFFFFFFFF@@@<<<777444222111///...---..................---------,,,,,,,,,+++++++++---,,,,,,++++++,,,,,,---++++++******))))))((((((+++)))((((((***+++,,,+++***)))((('''&&&'''((())))))(((''''''''''''((()))%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''&&&&&&&&&''''''&&&%%%$$$$$$%%%&&&'''''''''((()))***+++---...//////111222444555555555333444666777888;;;@@@CCCIIIJJJKKKIIIFFFDDDCCCCCCEEEJJJSSSZZZ___aaa```^^^ZZZWWWRRROOOMMMMMMNNNOOOQQQRRRSSSVVVYYY\\\___```______``````___^^^]]]]]]YYYXXXXXXXXXXXXYYY[[[\\\^^^```bbbeeefffffffffeee___bbbeeehhhjjjjjjiiihhheeedddeeegggkkkpppsssuuuvvvvvvuuuttttttsssttttttuuuttttttuuuwwwzzz}}}~~~}}}}}}|||zzzyyywwwvvvwwwvvvtttrrrooommmkkkjjjgggiiikkkmmmnnnnnnllllllkkkkkkkkkkkkjjjhhhgggeeegggfffeeeeeeeeeeeeeeeffffffggghhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeefffggghhhiiiiiiiiijjjlllmmmkkkjjjhhheeecccaaa```^^^\\\YYYXXXVVVTTTPPPKKKGGGCCCAAA===;;;888555333222111111111111000///............------------------------------------------------)))***++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++******))))))***+++---...---,,,***)))***+++,,,---------------------------.........---------,,,,,,---,,,,,,,,,,,,,,,,,,---++++++++++++++++++++++++***,,,,,,,,,+++***+++,,,+++++++++*********))))))+++,,,---...---,,,+++***------,,,++++++++++++,,,*********************+++************************))))))***+++,,,,,,,,,,,,,,,+++++++++***)))))))))))))))))))))))))))))))))******))))))******+++,,,******+++,,,,,,,,,,,,+++,,,,,,,,,,,,,,,+++***)))************************))))))*********+++++++++******))))))******+++,,,+++++++++***************************++++++,,,,,,&&&'''***,,,...///......//////111222333555666666555666666666777777888888777888999888777888:::<<<>>>EEEPPPZZZbbbgggjjjkkkiiifffeeeggggggeeegggjjjllluuujjjooowww~~~yyyoooiiihhhiiiooouuuwwwyyyzzzwwwqqqllljjjfffbbbaaaccceeegggeeeeeedddaaaZZZUUUQQQOOOIIIHHHGGGGGGGGGGGGHHHHHHDDD@@@;;;777444222000///------...//////...------------,,,,,,,,,,,,++++++,,,++++++******++++++,,,************)))))))))))),,,***((((((*********))))))(((''''''&&&&&&''''''***)))(((''''''((()))***'''''''''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$%%%&&&''''''''''''(((***,,,...///000000222333444555555555444555777999;;;???DDDGGGJJJKKKKKKIIIGGGEEEFFFGGGKKKPPPXXX___cccbbb```^^^XXXVVVRRROOOMMMMMMNNNOOOPPPQQQSSSVVVYYY\\\^^^```___```aaa```^^^\\\\\\]]]XXXYYYYYYXXXWWWXXXZZZ]]]\\\^^^aaadddffffffffffffdddfffkkkoooqqqqqqpppoookkkjjjiiikkknnnqqqrrrsssuuutttttttttuuuvvvwwwwwwwwwwwwxxxyyyzzz|||~~~~~~|||{{{zzzyyywwwvvvuuuuuuttttttrrrpppnnnkkkjjjiiiggghhhjjjlllmmmmmmmmmmmmkkkkkkllllllkkkiiigggfffhhhgggffffffeeeeeeeeeeeeffffffggggggggggggffffffddddddddddddeeefffggggggiiiiiiiiikkklllllljjjhhheeeccc```^^^]]]\\\YYYWWWUUUSSSPPPKKKGGGCCC@@@>>>:::888666444222111111111111000//////.........///------------------------------------------------***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++,,,,,,------,,,,,,++++++*********+++,,,,,,---,,,,,,+++******+++---...++++++++++++++++++++++++///.........------,,,,,,------,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---,,,+++***+++---,,,++++++++++++*********++++++,,,,,,,,,,,,++++++......---,,,,,,,,,,,,,,,((((((((())))))))))))***++++++++++++++++++++++++)))***+++,,,,,,,,,,,,,,,+++++++++*********************************************))))))******+++,,,******+++,,,,,,,,,,,,+++++++++++++++++++++***)))************************)))************+++++++++***))))))))))))***++++++************************++++++*********+++,,,---'''((()))+++---...//////...///000111333444666666666666777777888888999999999999999888777777999;;;<<>>999666444111///------...//////...------------,,,,,,,,,,,,++++++***))))))(((((())))))***)))))))))))))))*********((('''%%%&&&'''((('''&&&&&&&&&&&&&&&&&&%%%$$$$$$***)))(((''''''((()))***'''''''''((((((((())))))''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&'''(((***,,,...///000111222444555555555555555666999;;;===BBBGGGKKKKKKKKKKKKJJJHHHHHHIIIKKKQQQVVV\\\bbbeeeccc```]]]UUUSSSQQQOOOMMMMMMMMMMMMNNNPPPRRRUUUYYY[[[]]]^^^___aaabbb```]]][[[[[[\\\XXXYYYZZZXXXWWWWWWZZZ\\\\\\^^^aaadddggghhhhhhgggjjjnnnssswwwzzzzzzyyyxxxpppnnnlllnnnpppsssrrrqqqrrrrrrssstttuuuwwwyyyzzzzzzzzz|||}}}~~~}}}}}}}}}{{{zzzyyywwwvvvuuuuuutttrrrqqqpppnnnllljjjiiihhhgggggghhhjjjkkkmmmnnnnnnkkklllllllllkkkiiigggfffhhhgggfffeeeddddddddddddeeeeeeffffffffffffeeeeeeddddddddddddeeefffggghhhiiihhhiiijjjkkkjjjhhheeecccaaa^^^\\\[[[YYYWWWUUUPPPNNNKKKGGGBBB???<<<:::666555333111000000000111111000//////////////////------------------------------------------------,,,------------,,,,,,+++,,,,,,,,,+++++++++******,,,---............---,,,+++++++++,,,,,,,,,,,,,,,++++++++++++,,,,,,------++++++++++++++++++++++++------------............------,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,------++++++,,,---,,,,,,,,,,,,++++++++++++++++++*********+++++++++...---,,,,,,++++++,,,,,,))))))))))))******++++++++++++++++++++++++++++++******+++,,,,,,,,,++++++***************+++++++++++++++++++++++++++++++++******))))))******+++,,,******+++,,,,,,,,,,,,+++))))))******+++*********************************)))************+++++++++)))))))))))))))***++++++***************************)))((((((((()))+++++++++++++++++++++,,,---...---...///111222444555666777777777888999:::::::::999999888777555666999<<<:::<<>><<<999777666555444222000000//////...---------------------------------////////////////////////---,,,+++,,,---...---+++------------------..............................------------------------///...---,,,++++++,,,,,,------------------------------------------------,,,,,,------.../////////............---------------------------...//////------------------------///...---...///000///...,,,,,,,,,,,,------......------------------..............................,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,+++---------,,,,,,+++++++++///......---,,,+++******------------,,,,,,,,,,,,******+++,,,,,,,,,++++++++++++++++++++++++************++++++++++++******(((***++++++***)))***+++))))))))))))************))))))))))))))))))))))))+++++++++***************,,,,,,,,,,,,,,,+++***))),,,,,,------...///111222111333555888999:::::::::=========<<<<<<<<<<<<<<<;;;::::::999:::>>>DDDIIIQQQVVV]]]aaabbb```]]]\\\^^^```ccceeehhhlllqqquuuzzz}}}PPPTTT[[[bbbkkkrrryyy}}}{{{}}}~~~{{{yyyxxxtttpppjjjfffcccaaa^^^]]]^^^```dddhhhkkklllllllllccc```[[[YYYZZZ\\\]]]^^^]]]ZZZTTTMMMEEE???:::777222222111111222444666888999777444000...---...///......------,,,,,,,,,,,,++++++++++++******))))))((((((((((((((((((((((((((((((((((((((('''''''''******)))((((((((())))))(((((('''&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&''''''(((***+++,,,...///000111111333444444444333444777999===DDDNNNUUUZZZ[[[VVVQQQKKKJJJIIIIIILLLPPPUUUXXX```cccggghhhgggdddcccccc\\\ZZZWWWTTTSSSSSSSSSSSSOOOSSSZZZbbbhhhmmmoooppphhheee```\\\ZZZZZZ\\\]]]\\\\\\[[[[[[\\\\\\]]]]]]___aaaeeeiiimmmqqqtttuuuyyy}}}~~~wwwvvvtttrrrqqqqqqrrrsssuuuvvvxxx{{{~~~~~~zzzxxxvvvvvvuuuuuutttsssqqqpppnnnmmmjjjiiihhhfffeeeeeeeeeeeeeeeeeefffhhhiiikkklllllljjjkkklllkkkiiigggggghhhgggfffdddcccaaaaaaaaaaaaaaaaaa````````````aaaaaaaaadddhhhiiiiiihhhhhhhhhiiihhhfffeeedddbbb^^^[[[YYYUUUPPPLLLHHHDDD???<<<:::888555444333333111000/////////......---------,,,,,,------------------////////////////////////...,,,+++,,,---...---,,,..................---------------...............------------------------///...---,,,++++++******---------------------------------------------------------.........//////------------------------......---,,,,,,---------------------------------,,,,,,+++,,,,,,---,,,,,,,,,------...............,,,,,,------------..............................------------------------,,,---------------,,,,,,.........---,,,,,,++++++------------.....................------,,,,,,,,,******++++++,,,++++++***,,,+++++++++++++++************++++++++++++******(((***++++++)))((())))))((()))))))))************)))))))))))))))*********************************,,,,,,,,,,,,+++***)))))),,,,,,,,,---...///000111000222555888:::;;;;;;;;;<<<<<<=========<<<<<<<<<===<<<;;;:::999;;;@@@CCCGGGNNNWWW^^^aaa```___]]]___aaadddfffhhhkkkooorrruuuxxx}}}VVVXXX]]]dddlllsssxxxzzzyyy{{{}}}~~~|||yyywwwqqqnnnjjjgggeeeccc```^^^___```cccfffiiijjjkkkkkkeeeaaa]]]ZZZ[[[^^^```aaaccc```[[[SSSKKKDDD>>>;;;444333333333555777:::<<<<<<999555111...---...///............------,,,,,,***++++++++++++***))))))(((((((((((((((((((((((('''''''''((((((((((((((()))))))))((((((((((((((((((((('''&&&&&&&&&&&&''')))((('''&&&%%%%%%&&&&&&''''''''''''''''''((((((&&&&&&&&&&&&&&&'''((()))+++,,,...///111111222222333444555555555777:::<<>>>>>;;;<<<======>>>===<<<<<<<<<<<<<<<;;;:::;;;>>>@@@AAAHHHQQQYYY^^^```aaabbbccceeehhhjjjkkklllnnnpppooosssxxx|||]]]^^^```fffmmmrrruuuvvvyyyzzz||||||}}}{{{wwwuuupppnnnkkkiiihhhfffccc```___```bbbeeegggiiijjjkkkiiieee```]]]___bbbdddffffffdddaaaZZZRRRJJJBBB>>>666666555555888;;;???AAA???<<<888333000/////////------......------,,,+++******+++,,,,,,+++***)))))))))))))))))))))))))))'''''''''((((((((((((((('''''''''((((((((((((((((((((('''&&&&&&&&&&&&''',,,+++)))((('''''''''((('''''''''((((((((((((((('''''''''''''''((()))***+++---///111222333222222333444555666777:::===@@@GGGSSS\\\\\\\\\\\\WWWNNNJJJIIIHHHHHHJJJMMMPPPRRRUUU[[[ccciiilllllllllllljjjhhheee___ZZZWWWWWWXXXYYY^^^eeekkknnnmmmjjjhhh^^^\\\YYYVVVVVVVVVXXXYYYUUUWWWZZZ^^^```bbbcccccc______```bbbeeeiiilllnnnpppqqqtttwwwxxxwwwvvvvvvsssrrrqqqqqqrrrtttvvvwwwzzz|||}}}yyywwwuuuuuuuuurrrrrrqqqqqqooonnnlllkkkhhhhhhhhhgggffffffeeeeeeeeeffffffggghhhiiijjjkkkkkklllmmmmmmkkkjjjjjjkkkhhhgggfffeeecccaaa```___aaaaaa````````````aaaaaaaaacccfffggggggfffggghhhjjjhhhfffcccaaa]]]XXXUUUPPPLLLFFFBBB???<<<999777555333000//////...---,,,------------------------***+++---...///......---,,,,,,,,,,,,,,,,,,,,,,,,...---,,,---...///...,,,------------------......,,,,,,------.../////////------------------------,,,,,,------,,,+++***)))------------------------------------------------........................************+++++++++++++++***)))))))))))))))***++++++++++++++++++++++++---...///...---,,,---...,,,---.../////////...---++++++,,,,,,------......------------------------------------------------,,,------............---------------------------111000000///...---,,,,,,.........---------------,,,,,,---------,,,++++++---------,,,++++++************++++++++++++******''')))******)))((()))***))))))))))))************((())))))******+++++++++***************+++++++++***++++++,,,,,,+++++++++++++++,,,,,,---...000111///000222444666888:::;;;<<<===>>>???@@@???>>>===:::;;;;;;:::999999;;;===>>>CCCJJJQQQWWW]]]cccgggkkkmmmppppppooonnnnnnnnnkkkooosssvvvxxx}}}ffffffgggkkkqqquuuvvvuuuzzzzzz{{{{{{{{{}}}zzzvvvtttqqqpppnnnmmmmmmjjjgggddd___```bbbdddgggjjjlllnnnlllgggbbb___```cccfffggghhhgggeee```XXXOOOFFF@@@888888777888:::>>>CCCFFFCCC@@@<<<888444222111000,,,------...---,,,+++***)))***,,,------,,,***)))))))))))))))))))))))))))''''''''''''((((((((()))%%%%%%&&&'''''''''''''''(((((('''&&&&&&&&&&&&'''---+++)))'''&&&&&&&&&'''&&&&&&&&&''''''((((((((((((''''''((((((***++++++,,,---000222333444333222222444666888999===AAADDDNNNZZZ```\\\YYYZZZUUULLLKKKJJJHHHGGGHHHJJJLLLMMMSSSXXX___eeehhhjjjlllmmmlllllliiiddd^^^[[[[[[]]]```dddkkkqqqrrrppplllhhh\\\[[[YYYWWWUUUTTTTTTTTTTTTWWW[[[```dddggghhhhhhaaa```^^^^^^```dddgggjjjmmmnnnoooppprrrsssuuuuuusssrrrrrrssstttwwwzzz|||}}}~~~{{{xxxvvvsssrrrqqqnnnnnnnnnnnnmmmlllkkkjjjhhhhhhhhhhhhgggffffffeeeeeeffffffggghhhiiijjjjjjiiikkklllllljjjiiiiiijjjhhhhhhgggfffdddbbb```___bbbaaaaaa``````aaaaaabbbaaacccdddeeedddeeeggghhhhhhfffccc```]]]YYYTTTPPPIIIFFF@@@===:::888666555111///------...///...---------------------------)))+++---...//////...---,,,,,,,,,,,,,,,,,,,,,,,,///---,,,---...///...---++++++,,,,,,------......,,,,,,------...//////000------------------------***+++,,,,,,,,,,,,+++***------------------------------------------------........................*********++++++,,,,,,,,,)))))))))(((((()))******************************---...000...,,,+++,,,...)))***,,,......---,,,+++***++++++,,,------......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---...............+++++++++,,,------....../////////......---------......//////////////////...............---,,,+++...------,,,++++++************++++++++++++******&&&''')))***)))))))))***))))))))))))************((())))))******+++,,,,,,))))))*********+++++++++)))******+++,,,,,,,,,,,,+++++++++,,,---...///000............000333666888>>>???AAABBBCCCBBBAAA@@@<<<======<<<:::999:::;;;===???CCCHHHPPPYYYdddkkksssuuuwwwwwwtttpppnnnnnniiimmmppprrrssswww~~~nnnmmmmmmpppuuuxxxxxxwwwzzzzzz{{{zzzzzz|||zzzuuussssssrrrqqqppppppnnnjjjhhh^^^___aaadddhhhkkkooopppkkkgggaaa^^^___bbbeeefffhhhhhhgggddd\\\RRRHHHBBB:::999888999<<<@@@EEEHHHEEECCC???;;;777444222222+++,,,---------,,,+++***)))***,,,------,,,+++)))))))))))))))))))))))))))&&&'''''''''(((((())))))###$$$%%%&&&''''''''''''(((((('''&&&&&&&&&&&&'''***)))&&&$$$""""""###$$$%%%%%%%%%&&&&&&'''''''''(((((((((((()))***,,,,,,,,,---000333444444333333222444666999;;;>>>CCCGGGRRR]]]bbb\\\WWWXXXTTTKKKKKKJJJHHHGGGGGGHHHIIIJJJSSSWWW\\\```dddgggkkknnnmmmmmmkkkfff```]]]^^^aaadddiiipppuuuvvvsssnnnjjj]]]\\\ZZZXXXUUUSSSRRRQQQTTTWWW]]]cccgggjjjkkklllcccaaa^^^\\\]]]aaaeeehhhmmmmmmmmmmmmooorrruuuwwwssssssssstttwwwzzz}}}}}}{{{xxxuuurrrooonnnllllllllllllkkkkkkjjjiiihhhiiiiiiiiihhhgggffffffeeeffffffggghhhiiiiiijjjhhhjjjkkkkkkiiihhhhhhiiiiiiiiihhhgggeeecccaaa```bbbbbbaaaaaaaaaaaabbbbbbaaabbbcccccccccdddfffhhhgggdddaaa^^^[[[VVVQQQMMMEEEAAA<<<999777666555333...,,,+++,,,...000000000------------------------)))***---/////////...---,,,,,,,,,,,,,,,,,,,,,,,,///...------...///...---******++++++,,,---......,,,,,,------...///000000------------------------)))***+++,,,---,,,+++***------------------------------------------------.....................---+++++++++,,,,,,---------))))))(((((()))******+++))))))))))))))))))))))))***,,,...---***(((***,,,''')))+++,,,,,,+++***)))******+++,,,,,,---......++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---.../////////...)))******+++,,,---......++++++,,,---...///000111//////000000111111222222.../////////...------,,,......---,,,,,,+++************++++++++++++******%%%'''))))))))))))***+++))))))))))))************((())))))***++++++,,,,,,))))))******++++++++++++((()))***+++,,,---------+++++++++,,,---...///000444333111111333666:::<<<@@@AAACCCEEEEEEDDDCCCBBB???@@@@@@???<<<::::::;;;<<<===>>>BBBJJJVVVdddmmmyyy{{{|||{{{wwwrrrooommmiiilllpppppppppttt|||qqqpppppppppqqqtttvvvxxxxxxyyyyyyzzz{{{||||||}}}~~~~~~}}}wwwtttrrrrrrrrrsssssspppllliiifffdddbbbcccfffjjjmmmnnnpppjjjbbb]]]\\\]]]___aaagggggggggeee^^^UUULLLGGG@@@>>>;;;999;;;???CCCGGGFFFEEECCC@@@<<<777222000,,,,,,+++******+++++++++---///222333222///+++((()))))))))))))))))))))))),,,+++)))'''&&&%%%&&&&&&(((((((((((('''''''''''')))((('''&&&%%%$$$$$$$$$''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&((()))++++++111111111111222333444444222444666777;;;AAAKKKRRR^^^^^^^^^\\\YYYVVVRRRPPPJJJHHHFFFEEEEEEGGGIIIJJJSSSUUUYYY\\\```dddiiilllllllllkkkgggcccbbbdddgggmmmooorrrtttsssqqqnnnlllfffccc^^^YYYUUUTTTUUUUUUTTTVVV[[[bbbjjjppprrrssshhhddd___[[[[[[```eeeiiilllmmmoooqqqtttvvvxxxyyyxxxxxxyyyzzz|||}}}|||zzzxxxuuutttsssqqqnnnlllkkkjjjiiihhhhhhiiijjjjjjiiihhhgggfffeeedddddddddgggggggggggghhhhhhhhhhhhffffffgggiiiiiijjjjjjjjjiiihhhgggeeecccbbbbbbbbb_________```````````````bbbbbbaaacccfffhhhhhhggggggddd___[[[VVVQQQKKKGGGAAA???<<<888444111...---222111000///////////////------............------000///...---------------.........------,,,,,,,,,111000///...------,,,+++,,,,,,,,,---------......------............---------......///...,,,***)))000/////////.............../////////...---,,,,,,...///////////////......//////............//////,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,------,,,,,,++++++,,,,,,---------------,,,+++***))),,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,---.........---------,,,,,,---+++***,,,///000...,,,,,,,,,---....../////////.........//////000000000------------------------............////////////////////////////////////++++++,,,,,,,,,,,,------,,,,,,,,,,,,+++***)))))),,,,,,+++***))))))******++++++***************+++++++++***(((&&&'''***,,,******))))))))))))******,,,,,,,,,++++++*********((())))))***,,,------...111111000000222444777999@@@BBBCCCDDDCCCBBBCCCDDDCCC@@@<<<;;;===>>><<<:::>>>>>>@@@CCCHHHRRR\\\ccctttxxx~~~}}}xxxssspppnnnppprrrrrrrrrsssxxx}}}rrrrrrqqqqqqrrrtttwwwxxxyyyyyyzzz{{{|||}}}}}}~~~~~~~~~~~~xxxtttrrrrrrssstttuuusssooollliiifffdddeeehhhllloooqqqqqqkkkccc]]][[[[[[\\\]]]aaabbbcccbbb]]]VVVOOOKKKBBB???<<<999:::<<<@@@BBBCCCCCCCCCAAA===999444111...---,,,+++++++++++++++,,,---///000000---***(((((((((((((((((((((((((((******))))))((()))))))))%%%&&&&&&&&&''''''(((((()))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&'''((()))+++,,,---111111111111111222333444333555777999>>>FFFOOOVVV______^^^\\\YYYUUUQQQOOOLLLJJJHHHFFFFFFHHHJJJLLLSSSUUUYYY\\\___bbbgggjjjiiijjjiiigggddddddfffiiimmmoooqqqssssssrrrqqqpppjjjfffaaa[[[WWWUUUUUUVVVVVVXXX\\\ccckkkrrruuuvvvoookkkfffaaa```cccgggkkkpppqqqsssvvvxxxzzz|||||||||||||||}}}}}}{{{yyyxxxvvvsssrrrqqqooommmkkkiiihhhgggfffgggggghhhiiiggggggffffffeeeeeeffffffiiiiiihhhhhhggggggfffffffffggghhhiiiiiijjjjjjjjjiiihhhgggeeecccbbbbbbbbb_________```````````````bbbbbbaaaccceeegggfffeeedddaaa\\\WWWRRRMMMGGGCCC===;;;999666333111000///---,,,,,,++++++++++++,,,,,,,,,------------,,,,,,......---,,,,,,,,,,,,,,,,,,,,,,,,+++++++++******---,,,,,,++++++*********,,,,,,---------.........---..................------------.........------000000/////////.........//////000000000///......//////////////////////////////............//////,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++,,,,,,------,,,,,,++++++,,,,,,---------------,,,+++******,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,---,,,,,,,,,+++++++++******,,,+++***,,,...///---+++...------------------------,,,,,,,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,---.........////////////........................---------,,,,,,+++++++++***++++++,,,,,,,,,++++++,,,++++++***))))))******+++******))))))******************)))'''(((***,,,******))))))))))))******,,,,,,,,,,,,++++++******)))******+++,,,---...///000000///000111333666888<<<>>>AAABBBCCCDDDFFFHHHFFFCCC???>>>??????===;;;======???AAAEEEMMMWWW]]]nnnvvv}}}zzzyyyqqqqqqpppoooooorrrvvvzzztttssssssssssssuuuwwwxxxyyyyyyzzz{{{|||}}}~~~~~~xxxsssqqqrrrsssvvvwwwvvvssspppmmmjjjggghhhkkkppptttuuurrrllleee^^^[[[YYYXXXXXXZZZ[[[\\\]]]ZZZVVVRRROOODDDBBB===:::888999;;;<<<>>>???AAAAAA???;;;777444000///...---,,,,,,,,,,,,+++,,,------,,,+++)))(((((((((((((((((((((((((((''''''((())))))***))))))###$$$%%%&&&'''(((((()))(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((((((((((((''''''((()))***,,,...///000000000000111222333444555666999===CCCLLLVVV\\\aaaaaa___]]]YYYUUUQQQOOOMMMLLLIIIGGGHHHJJJMMMPPPTTTVVVZZZ\\\^^^aaadddgggfffgggggggggeeefffgggiiilllmmmoooppprrrsssttttttppplllfff___ZZZXXXWWWWWWYYYZZZ^^^eeennnuuuyyyzzzwwwsssmmmhhhfffgggjjjmmmuuuwwwyyy||||||yyyvvvuuutttrrrpppnnnnnnllljjjhhheeeeeeeeeeeefffggghhhhhhfffffffffffffffggghhhhhhjjjjjjiiihhhgggfffeeeeeefffggghhhiiiiiijjjiiiiiihhhhhhfffdddcccbbbbbbbbb_________`````````aaaaaacccbbbbbbccceeeeeedddccc___\\\WWWQQQLLLGGGBBB>>>777777555444222222111111------,,,,,,,,,------...+++,,,,,,,,,,,,,,,,,,+++---,,,,,,,,,,,,+++++++++,,,,,,,,,,,,++++++++++++........................,,,------------.................................------------...///000111000000000/////////......//////000111111111000000000000////////////000000000//////......//////000------------------------,,,++++++++++++,,,------------,,,,,,,,,,,,------------...------,,,+++***,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,---,,,,,,,,,,,,+++++++++++++++******+++------,,,***......---,,,,,,+++******,,,,,,,,,+++******))))))++++++++++++++++++++++++---------.........//////........................///......---+++******)))))))))***+++,,,,,,,,,,,,,,,+++******)))*********))))))))))))))))))******((()))******)))((()))+++******))))))))))))*********+++,,,---,,,+++***)))))))))***+++,,,,,,------///.........000222444555777999===@@@CCCFFFIIILLLIIIGGGDDDCCCBBBAAA???=========>>>???BBBHHHOOOTTTbbbmmm{{{yyytttooolllnnnqqquuuwww{{{~~~sssssssssssstttuuuvvvwwwxxxyyyzzz{{{|||}}}~~~~~~~~~xxxssspppqqqrrruuuwwwwwwtttrrrqqqnnnkkkkkknnnssswwwyyytttooohhhaaa\\\YYYVVVTTTTTTUUUVVVWWWVVVTTTRRRPPPGGGEEE@@@;;;888666666666999;;;>>>??????<<<888666222111000...---,,,,,,,,,,,,+++++++++*********)))))))))))))))))))))))))))$$$%%%&&&(((((('''&&&&&&%%%%%%&&&&&&'''((())))))(((((('''&&&&&&&&&&&&&&&(((((((((((((((((((((((())))))))))))))))))))))))''''''((()))+++---...////////////000111222333444555777:::@@@HHHRRR[[[```bbbbbb```]]]ZZZVVVSSSQQQMMMKKKJJJIIIKKKNNNRRRUUUVVVYYY\\\^^^___```ccceeeeeeffffffffffffeeeffffffggghhhiiillloooqqqtttuuutttpppjjjccc^^^[[[ZZZZZZ]]]^^^bbbiiiqqqyyy}}}|||yyytttooommmmmmoooqqqyyy{{{~~~~~~{{{wwwtttrrrqqqpppnnnlllkkkkkkjjjhhhfffddddddeeeeeefffggghhhhhhggggggffffffgggggghhhiiiiiiiiiiiihhhgggfffffffffgggggghhhiiiiiiiiiiiiiiihhhgggeeedddcccbbbbbbbbb______``````aaaaaabbbbbbeeedddddddddeeedddbbb```[[[WWWQQQLLLGGGBBB===:::444444333222111111111111------------...//////000,,,,,,------------,,,,,,,,,,,,---------,,,,,,,,,..................------....../////////000000000------------.....................------.........///...------...///111222000000000////////////.........///000111111111111111000/////////000111222000000////////////000000------------------------,,,,,,,,,,,,,,,---......------,,,,,,,,,,,,------------......---,,,++++++---------------------------,,,,,,++++++,,,,,,---///............---------*********+++++++++******,,,,,,,,,+++++++++******,,,,,,,,,,,,++++++++++++************************,,,,,,---------.......................................---,,,,,,+++******)))***+++,,,,,,,,,,,,,,,++++++***************+++(((((())))))******))))))''')))++++++***))))))*********))))))))))))*********+++,,,------,,,***)))((((((((()))***+++++++++---------...///000222333444777:::>>>AAAEEEIIILLLKKKJJJIIIHHHFFFDDDBBB@@@@@@@@@@@@???@@@CCCIIILLLVVV```ooo}}}yyyqqqmmmnnnqqqssstttuuuzzzppppppqqqqqqrrrssstttuuuwwwwwwxxxzzz{{{|||}}}~~~~~~~~~zzztttqqqpppppprrrtttuuutttssstttqqqnnnmmmppptttwwwxxxvvvqqqkkkddd___ZZZVVVSSSQQQQQQRRRQQQQQQPPPOOOOOOJJJHHHCCC>>>999555333222666888:::<<<<<<:::888666333222111///...------------,,,,,,+++++++++++++++************************&&&'''((((((((('''%%%$$$))))))(((((((((((((((((((((((('''&&&&&&&&&''''''(((((((((((((((((((((((())))))))))))))))))))))))&&&&&&'''(((***,,,...////////////000111333444555666888===EEENNNWWW^^^aaa___^^^]]]ZZZXXXUUURRRQQQLLLLLLLLLMMMOOOSSSWWWYYYYYY[[[^^^```aaaaaacccdddffffffffffffeeedddbbb``````aaacccfffiiinnnqqqsssvvvrrrlllfffaaa^^^^^^^^^aaabbbfffmmmvvv}}}~~~zzzwwwuuuvvvwwwyyy{{{|||{{{wwwtttqqqooonnnmmmkkkiiiiiiiiihhhgggeeeeeeeeefffggghhhhhhiiiiiiiiiiiihhhgggggggggggghhhgggggggggggghhhhhhhhhhhhggghhhhhhiiiiiiiiiiiihhhgggfffeeedddcccbbbbbbbbb``````aaabbbbbbcccddddddfffeeeeeeeeeeeeccc___]]]WWWSSSMMMGGGCCC>>>:::777444333222000////////////+++++++++++++++,,,---...------............------,,,---............------........................+++++++++,,,------......---------........./////////...------------...///000///...------...///000111000000000////////////---...//////000000000000000000000000000111222222000000////////////000000........................------,,,,,,------...///...------,,,,,,------...------.........---,,,,,,---------------------------,,,,,,++++++,,,,,,---/////////.........------)))***++++++******))))))*********+++++++++,,,,,,))))))******+++,,,------************************,,,,,,,,,,,,------------........................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***)))+++***************++++++'''((()))***+++*********&&&(((***+++***)))***+++******))))))))))))************+++,,,,,,,,,+++***))))))******+++,,,,,,,,,,,,,,,,,,---...///000111333555888;;;>>>AAAFFFIIIKKKLLLMMMMMMKKKHHHFFFEEEDDDDDDDDDBBBAAABBBEEEGGGOOOUUUaaarrr}}}tttooooooqqqqqqqqqpppuuu|||kkkkkkmmmnnnoooqqqrrrrrrttttttvvvwwwyyyzzz{{{|||||||||{{{|||}}}~~~yyytttrrrooooooppprrrsssrrruuurrrooooooqqqssstttuuuuuuqqqlllgggbbb\\\VVVRRROOONNNMMMLLLLLLLLLMMMMMMMMMJJJFFFAAA;;;777333111333555666777888777555444222111000///......------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++******+++******)))((((((*********)))))))))(((((((((((('''''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&''')))+++---///000000000000111222444555666777:::AAAKKKUUU\\\``````ZZZZZZYYYWWWVVVTTTTTTSSSOOOPPPQQQSSSVVVXXXZZZ\\\ZZZ\\\```bbbbbbbbbcccdddeeeeeedddddddddaaa]]]ZZZYYY[[[]]]aaaeeeiiimmmooossspppkkkfffcccbbbbbbccceeegggkkksss{{{~~~|||}}}~~~||||||}}}|||yyyuuuqqqnnnmmmmmmkkkjjjhhhhhhhhhhhhgggeeefffggghhhiiiiiiiiiiiiiiijjjjjjiiihhhhhhhhhhhhhhhfffggggggggghhhhhhhhhiiihhhhhhiiiiiiiiiiiihhhhhhfffeeedddcccbbbbbbbbbbbbaaabbbbbbcccdddeeefffffffffeeedddcccbbb___[[[XXXRRRNNNHHHCCC???;;;888555333222111000///.........------,,,,,,------......---......//////......---,,,---.../////////...---,,,,,,,,,,,,---------------------....../////////------.........////////////...---,,,,,,---.../////////......---.........111111000000000/////////......//////000000/////////000111222222333222222111000000//////000000111////////////////////////...------------...//////......------------......------............---------------------------------,,,,,,++++++,,,,,,---------------,,,,,,,,,+++)))+++,,,,,,***))))))***))))))***++++++,,,------%%%&&&'''((()))+++,,,,,,************************+++++++++,,,,,,,,,------------------------------+++++++++,,,,,,---------,,,,,,,,,,,,+++***))))))*********)))******+++,,,'''(((***+++,,,,,,+++***'''(((******))))))***,,,******))))))))))))******++++++++++++++++++,,,,,,,,,,,,---------.........,,,,,,------.../////////333444666888:::===BBBEEEIIILLLOOOPPPNNNLLLJJJJJJIIIIIIHHHFFFCCCBBBCCCEEEKKKNNNWWWfffwww{{{vvvsssrrrrrrqqqppptttyyy}}}eeefffhhhjjjlllnnnooooooqqqqqqssstttvvvxxxyyyzzzxxxxxxxxxxxxzzz|||~~~~~~xxxuuupppmmmnnnppprrrrrrtttrrrppppppqqqqqqqqqppprrroookkkgggbbb]]]VVVRRRLLLKKKIIIHHHHHHJJJLLLMMMNNNLLLIIIDDD>>>999555333333333333333222222222222111000///...............++++++,,,------,,,,,,+++************************+++************++++++,,,(((((((((((())))))))))))((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''(((***,,,...000222000000111222333555777888:::>>>FFFQQQ[[[aaaaaa___ZZZYYYYYYYYYYYYYYYYYYZZZVVVWWWYYY[[[\\\\\\\\\[[[XXX[[[___aaabbbbbbbbbccccccbbbbbbcccccc```[[[WWWUUUVVVZZZ^^^cccgggjjjkkkooommmiiifffdddeeefffhhhgggjjjpppxxx~~~~~~~~~~~~}}}|||||||||~~~}}}{{{wwwsssooommmmmmlllkkkiiihhhhhhiiiiiigggfffgggggghhhiiiiiiiiihhhgggiiiiiihhhhhhhhhiiijjjjjjhhhhhhhhhhhhgggggggggggghhhhhhiiiiiiiiiiiihhhhhheeeeeedddcccbbbbbbbbbbbbccccccdddeeefffggghhhhhhcccbbbaaa```___[[[VVVRRRMMMIIICCC>>>;;;999666444222111000/////////////////////......---.........,,,------......------,,,***+++---//////...---,,,,,,,,,,,,,,,---------...000000000000000111111111............////////////000///---,,,,,,---///000+++,,,---...............111111111000000000//////000000111111111000//////...///222444555444222111111111000000000000111111////////////////////////...............//////000......------------......------............------........................---,,,,,,++++++,,,,,,---------------,,,,,,,,,,,,***,,,------***))))))++++++++++++,,,,,,,,,,,,,,,''''''((()))******++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,++++++*********))))))***++++++,,,((()))+++---...---,,,+++((())))))(((((()))+++...******))))))))))))******,,,+++***)))***+++---...,,,,,,,,,,,,,,,---------,,,,,,---...////////////000222444555777;;;@@@CCCFFFKKKPPPRRRQQQOOONNNNNNKKKLLLKKKHHHEEECCCBBBCCCDDDIIIQQQ[[[hhhvvv|||yyywwwwwwtttuuuwwwyyy|||aaaccceeehhhjjjlllmmmmmmooopppqqqsssuuuvvvxxxxxxwwwwwwwwwxxxzzz|||~~~|||wwwppplllllloooqqqssssssrrrppppppppppppnnnlllooommmjjjfffbbb\\\VVVQQQJJJIIIGGGFFFGGGIIILLLNNNOOOMMMJJJFFF@@@;;;666444333222111000/////////000000///...............///)))***,,,------,,,+++***))))))))))))))))))))))))((((((''''''(((***,,,...%%%&&&&&&'''((()))******(((((('''''''''(((((()))))))))))))))))))))))))))''''''''''''''''''''''''(((((()))+++---000222333111111222333444666777888===AAAJJJVVV___dddbbb___]]]\\\]]]]]]^^^___```aaa\\\]]]```aaaaaa___\\\[[[WWWZZZ^^^aaaaaaaaabbbbbbaaa``````bbbccc```[[[VVVRRRUUUXXX]]]bbbfffhhhiiillljjjgggeeeeeefffiiijjjiiilllrrr{{{}}}|||zzzzzzzzz~~~|||{{{{{{}}}|||zzzvvvrrrooommmmmmmmmkkkiiihhhhhhiiiiiihhhggggggggghhhiiiiiihhhgggfffggggggggghhhiiikkklllmmmjjjjjjiiihhhgggfffeeeeeehhhhhhiiiiiiiiihhhhhhgggeeeeeedddcccbbbbbbbbbbbbddddddeeefffggghhhiiijjjaaa```___^^^\\\XXXRRRNNNIIIEEE@@@;;;999777555333000000/////////000000111,,,++++++***))))))))))))+++,,,,,,------,,,,,,+++)))***,,,.........,,,+++........./////////000000...............---------............/////////000000///---,,,,,,---///000((()))+++...///000//////111111111111000000000000222222222222222111000///---///222555666555222111111111000000000000111111000000000000000000000000...............///000000......------------......------...............---........................---,,,,,,++++++,,,,,,---000000/////////.........***,,,...---***)))***+++......---,,,,,,++++++++++++++++++++++++,,,,,,,,,++++++++++++++++++++++++******+++++++++,,,,,,,,,------------------------///...------,,,+++******)))***++++++,,,,,,,,,,,,******))))))***+++,,,,,,(((***,,,...///...---,,,((())))))((('''(((,,,///******))))))))))))******---+++)))((()))+++---///)))))))))))))))*********,,,,,,---...////////////...000222333666:::???CCCDDDJJJPPPSSSSSSQQQQQQQQQMMMMMMLLLJJJFFFCCCBBBBBB===DDDMMMSSSZZZiii~~~~~~~~~xxxwwwwwwvvvxxx~~~UUUWWW\\\```ccceeefffffffffiiillloooqqqsssvvvyyyxxxxxxwwwwwwxxxxxxyyyzzz|||}}}~~~}}}wwwqqqnnnooorrrtttvvvvvvuuutttrrrqqqooonnnkkkjjjhhhfffccc^^^XXXSSSKKKHHHDDDBBBDDDGGGJJJLLLMMMOOONNNJJJBBB;;;777555111111///......///000000111000///...............******************++++++++++++++++++*********)))(((((())))))))))))(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((()))((((((''''''''''''((()))***+++---...///000000000000222555444222777===???IIISSS\\\dddgggccc\\\VVVXXXZZZ^^^bbbgggkkkmmmfffgggiiiiiifffaaa\\\XXXZZZ\\\^^^^^^^^^___aaabbbffffffeeeddd```\\\YYYVVVWWWUUUUUUYYY```fffhhhiiiiiifffdddfffkkknnnoooooolllrrr{{{}}}{{{yyyxxxwwwzzzzzzzzz{{{~~~wwwtttpppllliiiiiiiiijjjeeeeeeeeeeeefffffffffgggjjjjjjiiiiiihhhhhhggggggfffgggiiilllmmmnnnnnnmmmllllllkkkjjjiiiiiiiiiiiieeefffiiijjjjjjiiifffeeeeeeeeeeeedddccccccbbbbbbeeeeeefffgggiiihhhfffcccdddbbb^^^ZZZVVVQQQKKKGGG>>><<<999666444333333444...///000000000///---,,,+++++++++++++++++++++++++++,,,............,,,+++***+++,,,,,,------,,,,,,++++++++++++,,,---...///,,,,,,,,,---------................../////////////////////...------,,,,,,.........//////111222222777666444222111111111222222222222111111111000000000000000000000000000000////////////000000000000111111222222222222111111000000000000////////////......------------......111000000000///////////////////////////////////////......---------......//////.........---------...------,,,,,,------......,,,******+++,,,+++*********++++++++++++******,,,,,,+++++++++++++++,,,******+++,,,------......---,,,++++++------,,,+++,,,,,,,,,+++++++++******++++++++++++++++++++++++*********)))((((((''''''+++++++++,,,,,,---------+++***)))))))))***,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***+++,,,---...,,,,,,---,,,+++(((%%%###...------......///000111222222222333555888;;;===AAAFFFLLLQQQSSSTTTUUUVVVTTTSSSQQQMMMJJJGGGDDDCCCEEEEEEIIINNNSSS\\\nnn~~~~~~}}}zzzxxxxxx|||NNNPPPTTTXXX[[[]]]^^^^^^```cccgggjjjmmmpppsssvvvxxxxxxwwwwwwvvvvvvwwwwwwxxxyyyzzz|||~~~yyysssppppppsssuuuvvvvvvvvvuuusssrrrpppooojjjhhhgggfffddd___ZZZVVVNNNJJJEEEBBBCCCGGGJJJKKKOOOQQQRRRNNNFFF>>>888666111000///.........///000000///......---------...///...---+++)))'''&&&%%%++++++*********)))))))))(((((())))))))))))(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((()))(((((('''''''''(((((()))***+++---...///000000222111333666555444888???EEEPPP[[[bbbfffgggccc]]]ZZZ[[[^^^aaaeeehhhkkklllfffggggggfffccc___ZZZWWWWWWYYY[[[]]]^^^```bbbeeeiiiiiihhhfffccc___\\\YYYXXXWWWWWWZZZ___dddeeeeeegggfffgggjjjooossssssrrrtttzzz~~~}}}|||{{{yyyxxxvvvvvvxxxxxxyyyzzz}}}|||uuussspppllljjjiiihhhiiieeeeeefffffffffgggggggggjjjiiiiiiiiihhhhhhhhhggghhhiiikkkmmmnnnooooooooommmlllkkkjjjiiiiiiiiiiiifffgggiiijjjjjjiiigggffffffffffffeeeeeeeeeddddddeeeeeeeeeggghhhgggeeebbbaaa^^^ZZZVVVRRRMMMGGGCCC;;;999666444222111111222...////////////...------------------------------------............------++++++,,,------------,,,,,,,,,,,,,,,---...///000------........./////////............////////////....................................///000111111333222111111111111111111111111111000000000//////000000000000000000000000////////////000000000111111111222222222222111111111000000000///////////////......------....../////////.........---------////////////////////////......---------....../////////.........---------...------,,,,,,------......,,,******+++,,,+++******++++++,,,,,,++++++***,,,++++++*********++++++***++++++,,,,,,------------,,,+++,,,...///...------------,,,,,,,,,++++++++++++++++++++++++++++++******)))(((&&&%%%$$$$$$++++++++++++,,,,,,,,,,,,++++++*********+++,,,---++++++++++++++++++++++++,,,,,,+++++++++,,,---...***+++,,,---,,,+++)))(((,,,,,,,,,,,,---...///000111111111222444777:::<<<@@@DDDKKKPPPSSSUUUWWWYYYWWWVVVSSSPPPMMMJJJHHHGGGCCCCCCEEEIIILLLTTTcccrrr|||yyyxxx{{{FFFHHHKKKOOORRRTTTUUUUUUYYY\\\```dddhhhlllqqqtttwwwvvvvvvuuuuuutttttttttuuuvvvwwwxxxzzz|||~~~~~~{{{tttqqqqqqsssuuuvvvvvvvvvvvvtttsssqqqppphhhgggfffeeedddbbb___\\\SSSNNNGGGCCCCCCFFFIIIKKKQQQTTTUUURRRKKKBBB:::666111000///---------...///......---,,,,,,,,,------)))))))))))))))*********************)))))))))((())))))(((((((((((())))))(((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''((())))))******,,,...///000000000333222444666666666;;;CCCMMMYYYdddhhhiiigggccc^^^]]]___aaadddfffhhhiiijjjddddddcccaaa^^^ZZZVVVTTTSSSUUUXXXZZZ\\\___dddggghhhhhhgggeeebbb^^^[[[YYYYYYYYYYYY\\\___aaabbbaaafffgggkkkqqqvvvyyyyyyxxx{{{|||||||||{{{zzzyyywwwwwwvvvvvvxxxzzz~~~~~~zzzwwwrrrqqqooommmjjjiiihhhgggffffffggggggggghhhhhhhhhiiiiiiiiiiiiiiihhhhhhhhhjjjkkklllnnnooopppppppppmmmlllkkkjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiigggggghhhhhhggggggffffffeeedddeeefffgggfffccc```[[[XXXTTTPPPLLLGGGAAA===888666444222000//////000///......---------------------------------------......------------......++++++,,,---------------------------...///000111....../////////000000000............////////////,,,------...//////000000//////.........//////000......///000000000000000000000000///////////////000000000000000000000000/////////000000000111111111111222222222222111111111111000000000////////////......------......////////////.........------////////////////////////------------...///000000/////////.........------...------,,,,,,------......,,,******+++,,,+++***++++++,,,,,,,,,,,,+++++++++***************++++++++++++++++++,,,,,,,,,,,,...---,,,---///000000///------------,,,,,,,,,,,,************************,,,+++***((('''%%%$$$###+++++++++***************+++************+++,,,---************************,,,++++++++++++,,,------(((***+++------------,,,++++++++++++,,,---...///000000000111333666888:::===BBBHHHNNNSSSWWWZZZ]]]\\\[[[XXXUUUQQQNNNLLLKKKDDDBBBCCCEEEFFFKKKXXXeee|||{{{yyyzzz~~~AAACCCEEEHHHKKKMMMNNNNNNRRRUUUZZZ___dddiiinnnqqqrrrrrrssssssssssssrrrrrruuuuuuuuuvvvvvvxxxyyyzzzzzz|||~~~|||}}}{{{tttppppppqqqrrrtttuuuuuuvvvuuutttrrrpppgggfffeeeeeeffffffdddbbbXXXSSSKKKEEEDDDFFFHHHJJJRRRTTTWWWVVVPPPFFF<<<666111000///---------......------,,,++++++,,,,,,,,,((((((((())))))******************)))))))))((((((***)))(((''''''((()))***(((((())))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''((()))*********+++---...000111111111333222444666777777>>>GGGSSS___jjjllliiifffbbb___^^^```aaacccdddddddddddd```___]]]ZZZWWWUUURRRQQQQQQSSSUUUVVVYYY]]]cccggghhhhhhfffdddaaa^^^[[[YYYYYYZZZ[[[]]]___aaaaaaaaafffjjjqqqxxx~~~}}}|||}}}}}}~~~~~~~~~}}}{{{{{{wwwxxxzzz}}}zzzvvvsssoooooonnnllljjjhhhgggfffgggggggggggghhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiikkkkkklllnnnooopppppppppnnnmmmlllkkkjjjiiiiiiiiikkkjjjiiihhhhhhiiijjjkkkhhhiiiiiijjjiiihhhggggggeeeddddddeeeeeeccc```]]]VVVSSSNNNJJJFFFAAA<<<999555444222111000////////////...---++++++,,,------,,,,,,,,,,,,,,,,,,,,,,,,...---,,,++++++,,,---...+++,,,,,,---...---------...---------...//////000....../////////000000000............////////////---........./////////000//////...............///---...///000111000///...000000000000000000000000000000000000000000000000//////000000000111111111111111222222222222111111111111111000000000////////////............//////111111111000000000000///////////////////////////------------...///111111////////////...............------,,,,,,------......,,,******+++,,,+++*********++++++++++++************)))))))))***++++++,,,,,,,,,,,,++++++++++++///...---...//////...------------,,,,,,,,,++++++)))))))))))))))))))))))),,,,,,++++++***)))((((((++++++******))))))(((((())))))))))))******++++++************************+++++++++++++++,,,,,,,,,((()))+++,,,------------++++++++++++,,,---...////////////111222555777888;;;???EEEKKKQQQWWW]]]aaabbb```^^^ZZZVVVRRRNNNMMMFFFDDDDDDEEEEEEHHHRRR]]]nnn}}}zzzyyy|||>>>???AAADDDFFFHHHIIIIIIKKKOOOTTTYYY^^^ccchhhlllkkkmmmnnnpppqqqrrrrrrrrrsssrrrqqqqqqqqqqqqqqqqqqqqqsssuuuwww|||}}}}}}yyyrrrnnnlllmmmmmmoooqqqssstttuuutttrrrqqqhhhgggeeeeeeggghhhgggfff]]]WWWOOOIIIGGGHHHIIIJJJPPPSSSVVVWWWRRRIII>>>777222111///...------......,,,,,,+++++++++,,,,,,---111000...+++(((%%%###"""************))))))))))))))))))(((((((((((())))))(((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''((((((***+++,,,+++,,,---///000111222222333222333666777:::BBBLLLVVVaaajjjjjjfffccc```]]]\\\\\\]]]]]]]]]\\\\\\[[[ZZZYYYWWWUUUSSSQQQPPPPPPQQQRRRSSSTTTWWW[[[bbbfffkkkkkkiiifffccc```]]]\\\[[[\\\]]]___```aaacccdddhhhnnnwww||||||{{{|||}}}~~~~~~}}}{{{|||~~~|||wwwsssqqqmmmmmmllljjjiiigggfffeeegggggggggggghhhhhhhhhhhhhhhhhhiiiiiijjjjjjkkkkkkkkkkkklllmmmnnnoooooopppooonnnlllkkkjjjiiiiiiiiikkkjjjiiihhhhhhiiijjjkkkiiijjjjjjkkkjjjhhhgggeeedddcccbbbbbbbbb```\\\YYYPPPMMMHHHDDDAAA===999666444333222111000000000//////...---++++++,,,------,,,,,,,,,,,,,,,,,,,,,,,,---,,,+++******+++,,,---,,,,,,---.........------------------------...///------........./////////............////////////000000/////////.........000//////........./////////000111111111000...---111111111111111111111111111111111111111111111111000000000000111111111111111111222222222222111111111111111111000000000000/////////....../////////222111111111000000000000////////////////////////---------...///000111222000000/////////............------,,,,,,------......,,,******+++,,,+++***))))))************))))))******))))))***+++,,,,,,---------,,,,,,,,,,,,,,,111///...---...---,,,***---,,,,,,,,,++++++++++++))))))))))))))))))))))))*********+++++++++++++++*********))))))(((((((((((((((((()))))))))))))))++++++++++++++++++++++++******+++++++++,,,,,,,,,******++++++++++++++++++,,,,,,,,,,,,---...///000......///000222444555666:::===BBBHHHNNNVVV]]]bbbfffeeeccc```[[[UUUPPPMMMHHHEEEDDDEEEEEEGGGNNNWWWaaarrr{{{yyyzzz|||>>>>>>???AAACCCEEEFFFGGGGGGKKKPPPTTTXXX]]]bbbeeeggghhhkkknnnpppqqqqqqqqqmmmlllkkkiiihhhgggggggggeeehhhjjjmmmqqqzzz~~~}}}wwwpppkkkhhhhhhhhhjjjlllooorrrssssssrrrqqqiiifffddddddfffggghhhggg```[[[SSSNNNKKKJJJJJJJJJMMMPPPTTTWWWUUUMMMCCC;;;333222000///............,,,,,,+++++++++,,,------//////---+++)))(((&&&%%%++++++++++++*********)))(((((())))))))))))(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''((()))***,,,---+++,,,...000111222222222333222333666999>>>HHHSSS[[[ccchhhfffbbb```]]]YYYWWWWWWUUUTTTSSSSSSSSSSSSTTTTTTSSSSSSSSSRRRRRRRRRSSSSSSSSSTTTWWW]]]dddiiilllkkkiiifffccc```^^^]]]___```aaaaaaaaabbbeeehhhlllsss|||}}}~~~~~~|||xxxuuussssssyyy{{{}}}{{{vvvsssrrrqqqlllkkkjjjhhhgggfffffffffffffffggggggggghhhhhhhhhhhhhhhhhhiiijjjkkkllllllllllllllllllmmmnnnppppppoooooommmllljjjiiiiiiiiijjjiiihhhgggggghhhiiijjjiiijjjkkkkkkiiigggdddbbb```___^^^^^^]]][[[VVVSSSJJJGGGCCC???===:::777444222222222222111111000000///......---------------........................,,,,,,++++++++++++,,,,,,,,,,,,---..................---------------......------........./////////............////////////111111000//////...------000000////////////000111111111111111111000//////111111111111222222222222111111111111111111111111000000000111111111222222111111222222222222111111222222111111111000000000000//////......//////000000000/////////.........////////////////////////............///000111111000000000/////////.........------,,,,,,------......,,,******+++,,,+++************++++++*********************+++,,,------------------............111///------------+++***------------,,,,,,,,,,,,************************''''''((()))***++++++,,,*********)))))))))))))))'''((())))))******))))))++++++++++++++++++++++++)))******+++,,,+++++++++++++++++++++************,,,,,,,,,,,,---...///000......000111222444555555:::<<<@@@EEEKKKSSS\\\bbbgggggghhhfffbbb[[[UUUPPPJJJFFFDDDEEEEEEEEEJJJQQQYYYgggxxx~~~zzzzzz|||AAAAAABBBCCCEEEGGGHHHIIIIIILLLQQQUUUXXX\\\```ccceeegggjjjlllnnnnnnnnnnnniiihhhfffcccaaa```___^^^]]]```cccfffjjjqqq{{{|||uuunnniiifffeeeeeedddgggkkkooorrrrrrrrrqqqhhheeebbbaaabbbdddeeeeeebbb]]]WWWRRROOONNNLLLKKKLLLNNNRRRVVVWWWQQQHHH@@@555444222000////////////,,,,,,,,,,,,,,,---......))))))***+++,,,------...,,,,,,,,,,,,++++++++++++&&&'''***++++++***'''&&&(((((())))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&'''((()))+++---...,,,---...000111222333333444333444888===CCCOOOZZZbbbffffffaaa^^^\\\XXXSSSSSSQQQOOOLLLKKKKKKLLLMMMPPPQQQSSSTTTUUUVVVVVVVVVTTTTTTUUUVVVZZZaaajjjppprrrqqqnnnkkkhhheeecccbbbffffffeeecccaaabbbfffjjjqqqxxx~~~zzzyyyxxxtttpppoooooopppyyy{{{~~~{{{tttpppooopppqqqkkkjjjhhhfffeeeeeefffgggeeeeeefffffffffgggggggggggghhhhhhiiikkkllllllmmmnnnnnnmmmmmmnnnoooqqqrrrpppooonnnllljjjiiiiiiiiiiiihhhhhhgggggghhhhhhiiiiiijjjkkkjjjhhheeeaaa___[[[ZZZYYYXXXWWWTTTPPPLLLDDDAAA===:::888777555333111111111111111000000///...////////////...------////////////////////////,,,------......------,,,,,,------...............//////...............///....../////////000000000............////////////000000000///////////////000000000000000111222333000000000000000000111222000000000000111111111222111111111111111111111111000000111111111222222222111111222222222222111111222222222111111111000000000000////////////000000000000000/////////......////////////////////////000///////////////000000000000000000/////////......------,,,,,,------......,,,******+++,,,+++***+++,,,,,,------,,,,,,+++++++++++++++,,,---...///---.........///000000000///...---...///000///---////////////............++++++++++++++++++++++++((())))))******+++++++++))))))******************((()))***+++,,,++++++***************************((()))***+++,,,++++++***,,,,,,++++++++++++,,,,,,++++++++++++,,,---...///...///000222333444555555;;;<<>>AAAFFFNNNXXX^^^bbbgggmmmpppoooiiiaaa\\\TTTOOOLLLKKKHHHFFFGGGKKKJJJTTT```kkkyyy}}}||||||LLLJJJJJJMMMMMMMMMQQQXXX[[[]]]___aaabbbdddhhhkkkmmmooorrrrrrqqqppppppqqqnnniiiccc```______^^^\\\___```cccgggnnnvvv}}}}}}~~~{{{tttqqqnnnhhhbbbaaaaaabbbcccgggkkkmmmmmmllldddaaa]]]ZZZYYY\\\___bbbcccbbb```[[[UUUQQQOOOOOOOOOQQQTTTWWWWWWRRRKKKFFF>>>:::444111//////////////////...---,,,,,,++++++,,,,,,------,,,,,,+++***(((((())))))******++++++))))))))))))((('''&&&%%%))))))))))))))))))))))))(((((('''''''''&&&&&&&&&***)))(((''''''((()))******)))(((((()))+++---///...///000000000222555777333555888===EEEPPP\\\eeekkkgggaaa[[[VVVTTTTTTTTTTTTRRRMMMIIIGGGGGGHHHHHHOOOPPPRRRUUUXXX[[[]]]^^^^^^___```bbbgggoooxxx}}}{{{yyyqqqmmmfffaaa___bbbfffiiiwww{{{wwwsssooommmkkkhhhgggjjjooosss~~~zzzvvvqqqmmmllllllkkkjjjhhhggggggfffffffffgggggggggggggggffffffeeeeeeeeegggggggggggghhhiiijjjkkknnnoooppprrrssssssrrrrrroooooonnnlllkkkjjjiiihhhhhhgggfffeeeeeefffggghhhhhhgggeeeeeedddbbb^^^[[[VVVTTTQQQNNNKKKGGGBBB>>>:::999777555333222111111////////////////////////........................------------------------111111000///...------,,,+++---////////////000222........./////////000000////////////////////////000000000000000000000000000000000000000000000000000000000000000000000000333222222111000000///////////////000000111111111222111000///////////////222222222222111111111111/////////....../////////222222111000000000000111111000000000000/////////000000111111222222222333111111000000000000000111111111111000//////............//////////////////000000///...............000000/////////.................................,,,,,,,,,---------......//////000000000000//////222222111111000000//////000111222222111///---+++***,,,......,,,+++***+++---------,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,)))*********++++++++++++))))))************)))))))))***+++,,,,,,+++***)))))))))))))))))))))******************+++,,,---......//////111222333444444666888<<<@@@EEEKKKRRRWWWccceeeiiinnnooolllccc]]]\\\WWWPPPMMMLLLMMMLLLKKKKKKQQQYYY___ggguuuyyyZZZWWWWWWXXXXXXXXX\\\bbbfffhhhkkkmmmnnnpppsssuuutttwwwzzz{{{zzzyyyyyyzzzvvvqqqjjjfffdddcccaaa```eeefffhhhlllqqqxxx}}}zzzzzz}}}~~~wwwtttqqqjjjeeedddccccccdddgggkkkmmmlllkkkccc```\\\YYYXXXZZZ]]]___ccccccbbb^^^XXXTTTQQQPPPOOOPPPSSSVVVWWWTTTNNNIII???:::555111//////......//////...------,,,++++++,,,,,,------,,,,,,+++***)))))))))))))))*********))))))))))))((('''&&&%%%))))))))))))))))))))))))))))))((((((((('''''''''))))))(((''''''((())))))***)))(((((()))+++---//////000000000000111444777555666999@@@JJJVVV```gggiiieee___YYYUUUTTTUUUVVVXXXUUUPPPKKKIIIHHHJJJKKKRRRSSSVVVYYY]]]```ccceeeggghhhiiikkkooouuu|||xxxssslllfffccceeeiiimmmvvv|||xxxsssooolllkkkjjjiiiiiimmmssswww~~~xxxuuupppmmmkkkkkkjjjjjjhhhhhhggggggggggggggghhhggggggfffffffffeeeeeeeeeggggggggghhhiiijjjllllllooopppqqqssssssssssssrrroooooonnnlllkkkjjjiiihhhjjjiiigggfffeeeeeeeeeeeegggfffeeeddddddbbb^^^[[[UUUSSSOOOKKKHHHDDD???<<<888777666444333222111111////////////////////////................................................000000//////......------,,,...//////......000111/////////000000000111111000000000000000000000000000000000000000000000000////////////////////////////////////////////////000000//////////////////111111111111111111111111444444333333222333333333333333222222222111111111333222222111111222222333222111000000//////000000000/////////............000000000000111111111222111111000000000000000111......//////////////////.........///////////////000000///............///////////////.........---........................,,,------------.........//////000000000000//////111111111000000/////////000000111111000///---,,,///111222222000/////////---------,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,)))))))))*********++++++))))))************))))))******++++++++++++******************))))))))))))************+++,,,---.........///111222333444555666888;;;???CCCIIIOOOTTT```ccchhhnnnqqqoooiiiddd___ZZZTTTPPPOOOOOONNNLLLKKKPPPVVVZZZ```lll|||~~~xxxkkkhhhfffgggeeedddhhhmmmrrruuuxxx{{{||||||~~~~~~}}}vvvoookkkiiigggfffkkklllnnnqqqvvv{{{zzzyyyzzz}}}{{{xxxtttnnnjjjiiieeeeeeeeegggiiikkkjjjjjjdddaaa]]]YYYXXXYYY[[[]]]aaaccccccaaa\\\WWWSSSRRROOOPPPSSSVVVWWWUUUQQQMMM@@@;;;555111///......---//////......---,,,,,,,,,,,,,,,------,,,,,,+++***************))))))))))))))))))))))))((('''&&&&&&)))))))))))))))))))))))))))))))))))))))((((((((((((((('''&&&&&&'''(((((())))))((()))***,,,...///000111111111000222444777777777<<>>BBBGGGJJJNNNSSSYYY```eeeiiikkkllliiigggddd___ZZZUUURRRQQQNNNNNNNNNMMMNNNSSS[[[aaaqqq|||yyyuuurrruuu{{{{{{~~~|||xxxwwwppppppppprrrvvv{{{{{{wwwwwwyyy{{{}}}xxxuuuvvvpppmmmhhheeedddeeeeeedddeeebbb___\\\ZZZZZZZZZ[[[```ccceeeddd```ZZZVVVTTTPPPOOONNNNNNPPPPPPPPPOOOHHHCCC<<<666222000...---........................,,,,,,------,,,,,,+++***************)))))))))))))))))))))******))))))((())))))))))))))))))))))))&&&&&&&&&&&&''''''''''''&&&'''(((((((((((('''&&&'''((()))+++---...///000111222333333333444777:::<<>>;;;999777666222111111000000000111111////////////////////////000000000000000000000000......................../////////000000111111111000111222222111000111333333333333333333222222222333333333333333333333333222222222222222222222222222222222222222222222222222222222222222222222222333333333333333222222222555666666666777777777777999999888888999999::::::666666666666555555555555555444444333333444444555111111000///////////////111111111000000000000///222222222222111111111111222222222222333444555555444333333222111111000000333333222222111111000000333222222111111111111111///000000000000000111111111111111111111111111111000000000111111111222222000111111222222111111000000000000000111111111111000000000111111222222222000111111000......///111000////////////.........++++++++++++++++++++++++)))*********++++++++++++******++++++++++++******++++++************++++++++++++++++++++++++++++++************+++,,,---...,,,---...000222444666666777888:::;;;===@@@EEEIIIMMMQQQWWW]]]bbbfffkkknnnjjjjjjiiiddd^^^XXXUUUTTTPPPOOONNNMMMMMMQQQWWW\\\ffftttzzzvvvrrrooorrrxxxyyy{{{}}}}}}}}}}}}~~~~~~|||tttrrrppppppsssxxx~~~zzzvvvvvvwwwyyy~~~|||yyyzzzvvvrrrlllhhhffffffffffffgggeeebbb___^^^]]]^^^___dddfffgggeeeaaa[[[WWWUUUQQQOOOLLLKKKLLLLLLLLLKKKKKKEEE>>>888444111///...............////////////,,,,,,------,,,,,,+++***)))))))))))))))*********((())))))*********))))))))))))))))))))))))))))))&&&'''''''''(((((((((((('''((())))))))))))(((''''''(((***+++---//////000000111222333333666999<<>>???@@@@@@======<<<<<<;;;<<<<<<<<<;;;;;;;;;:::::::::999999777777666666666666777777555555444333333333333444444333333333222222222222555444444444333333333333333333333444444666777777555555444444444444444444555555444333333222111111333333222111111111111222000111111111222222222222222222222222222222222222111111111222222222222333222222333333333333222222000111111111222222222333111111333333444333222111000000000///------...000000000000/////////......,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,***++++++,,,,,,++++++*********++++++++++++******)))******++++++,,,,,,---************+++,,,---...,,,---...000222444666777555666888999;;;>>>CCCGGGIIIMMMTTTYYY]]]ccciiinnnmmmnnnmmmiiibbb\\\YYYXXXRRRPPPNNNKKKKKKNNNRRRUUU[[[gggvvv{{{vvvrrrnnnkkkooouuuwwwxxxxxxxxxxxxxxxzzz|||}}}~~~xxxuuurrrpppqqqvvv||||||wwwwwwxxxzzz~~~~~~|||~~~zzzuuuooojjjhhhhhhhhhhhhjjjiiifffdddcccccccccdddggghhhiiifffaaa\\\YYYWWWRRROOOKKKIIIIIIJJJIIIIIILLLGGG???999555222000............///////////////,,,,,,---------,,,++++++(((((())))))******++++++((())))))*********))))))))))))))))))))))))))))))'''((((((((())))))******'''((()))******)))(((''''''(((***,,,...///000000///000222333444666:::===AAALLL\\\iiipppqqqooonnncccbbb```^^^\\\[[[[[[[[[ZZZYYYWWWVVVUUUSSSSSSSSSWWWZZZ^^^eeekkkqqqvvvyyyyyy|||~~~}}}yyytttpppooommmnnnqqquuuzzz~~~yyyxxxzzz}}}~~~~~~}}}wwwrrrooommmllljjjjjjkkkjjjiiiggggggggggggggghhhiiikkkkkklllllllllmmmmmmnnnnnnnnnnnnnnnnnnnnnooopppqqqrrrrrrssstttttttttsssrrrqqqmmmmmmlllkkkiiihhhgggfffeeeeeefffeeedddbbb```^^^____________]]]YYYRRRMMMEEEBBB===:::888666333222444333222111000000000000222222222222222222222222111111111111111111111111000000000000000000000000222222222222222222222222111222444444444444666777999999888888777777666666777777777777777777777777444444444444444444444444555555555555555555555555555555555555555555555555555666888:::<<>>>>>>>>=========>>>======<<<<<<======>>>;;;::::::999999999999999888777777777777666666666666666666555555444444444444444444555555777888888777777888888999999::::::666666555444444333222222444333222222111111222222111111222222222333333333333333333333333333333333111111222222222333333333222333333444444333333222111111222222222333333333111222444555555444222111444555444333111111333555000000000000////////////,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------***++++++,,,,,,++++++***)))***+++,,,,,,+++***)))))))))***+++,,,------...************+++,,,---...,,,---...000222444666777333444666777999===BBBEEEDDDIIIOOOTTTYYY```gggmmmnnnppppppllleee___\\\[[[SSSQQQMMMJJJIIIKKKNNNPPPTTT___mmmzzz}}}yyyrrrllljjjkkknnnqqqvvvvvvwwwxxxyyyzzzzzz{{{xxxzzz}}}~~~wwwsssvvvwwwvvvyyy{{{xxxyyy{{{}}}~~~}}}{{{zzzwwwrrrlllgggeeegggiiilllllllllllllllllllllmmmpppnnnllliiifffaaa[[[WWWWWWOOOIIIGGGGGGFFFHHHLLLKKKJJJFFF???888333000000//////.........---------++++++++++++++++++++++++))))))))))))))))))))))))******))))))(((((('''''')))))))))))))))(((''''''((()))))))))))))))(((((((((((())))))))))))(((''')))***+++---///111222333111000222555555555888>>>FFFUUUgggqqquuuwwwsssoooddd```\\\[[[\\\]]]]]][[[ZZZXXXTTTRRRRRRUUUXXXZZZ[[[___cccfffiiinnnuuuzzzzzzwwwtttpppmmmjjjlllmmmoooppprrrtttxxx{{{~~~~~~~~~~~~}}}|||{{{zzzzzzuuuqqqooolllkkkiiihhhgggfffggggggeeeeeeeeeeeegggiiikkkmmmlllmmmnnnpppppppppoooooopppooooooooopppqqqrrrrrrpppqqqsssttttttsssqqqppppppmmmjjjiiiiiiiiihhhgggkkkjjjhhhfffdddbbbbbbaaa\\\\\\[[[YYYVVVQQQJJJEEE>>><<<999666444333333444444444222111000000000000000000111111111111000///333222222222222222333333111000000333666666222///000111111111000111444777666777999999888888:::<<<;;;;;;;;;;;;<<<======>>>@@@@@@???===<<<;;;::::::888777777888:::<<<;;;::::::::::::999999888777666888999:::;;;<<<<<<<<<<<<===<<<<<<>>>AAAEEEFFFGGGHHHKKKPPPSSSTTTTTTTTTTTTSSSRRRPPPMMMKKKIIIHHHGGGFFFFFFEEEFFFHHHHHHGGGEEEIIIGGGEEEEEEEEEEEECCCBBBDDDCCCBBB@@@>>><<<;;;:::<<<<<<<<<;;;:::999888777<<<;;;999888777888:::;;;777888999:::;;;<<<<<<<<<;;;;;;::::::::::::::::::<<<;;;;;;999888777666555555777888777444333555888888888777777666777777777999888777777666666666777555555555666666777777777888888777777666666555555333444444555666555555555777777888777666555333222333222000111222222111///222111111000000000000000//////.........---------........................))))))***+++,,,------,,,***+++,,,,,,,,,,,,+++************))))))))))))))),,,,,,++++++,,,,,,---...//////000111333444555666777888999999999<<<@@@CCCEEEIIIMMMQQQTTTZZZbbbhhhoooppprrrqqqmmmggg```[[[UUUQQQLLLIIIHHHHHHGGGGGGPPPTTT^^^kkkyyy{{{wwwqqqllljjjkkknnnqqquuuuuuvvvwwwxxxyyyzzzzzzxxxzzz|||~~~}}}~~~xxxtttvvvwwwvvvyyy~~~{{{{{{|||~~~}}}|||{{{yyytttnnniiiggghhhjjjoooppprrrssstttuuuuuuuuutttrrrooollliiiccc]]]YYYVVVNNNHHHFFFFFFEEEGGGKKKLLLKKKHHHBBB;;;555222111//////.........---------++++++++++++++++++++++++************************((((((((())))))))))))))))))))))))))))))(((''''''(((((())))))))))))(((((((((((())))))))))))((((((((((((***+++---///000111222111333666666666;;;AAAMMM\\\llltttvvvvvvqqqlllhhhddd```^^^^^^^^^\\\ZZZZZZXXXUUUSSSTTTVVVYYY\\\]]]___cccfffjjjpppwww|||~~~wwwrrrnnnkkkhhhfffkkklllmmmllllllmmmppprrrtttuuuwwwyyy|||~~~~~~~~~~~~}}}|||xxxtttqqqooommmkkkiiihhhffffffffffffeeeeeefffggghhhjjjkkkllllllmmmnnnoooooonnnmmmmmmnnnmmmmmmmmmnnnooopppqqqqqqrrrsssttttttrrrqqqpppmmmkkkhhhgggggghhhgggffflllkkkiiigggdddcccaaaaaa]]][[[XXXUUUQQQKKKDDD@@@<<<:::777444222222222222444444333222111111111111222222222333333222222222111111111000000111111222222111111333666666333000222333555555444555888:::999:::<<<===<<<<<<>>>???@@@@@@@@@AAABBBCCCDDDDDDEEEDDDCCCBBB@@@>>>===<<<:::999888999:::;;;:::999;;;;;;;;;;;;;;;:::999999:::;;;<<<===>>>?????????AAAAAABBBDDDHHHLLLOOOPPPUUUXXX]]]```aaaaaaaaabbbbbb```]]]ZZZWWWTTTSSSSSSPPPOOOOOOPPPQQQQQQPPPOOORRRPPPOOONNNOOONNNMMMKKKLLLLLLJJJIIIGGGEEEDDDCCCCCCCCCCCCBBBAAA@@@???>>>;;;:::888666666666888888:::;;;<<<>>>???@@@@@@@@@>>>>>>>>>>>>???@@@AAAAAA======<<<;;;:::999888888777888999777444444555888999888888888888888999999::::::999888888888999999;;;;;;;;;;;;;;;<<<<<<<<<::::::999999888777777777999:::;;;;;;<<<<<<;;;;;;<<<<<<<<<<<<:::999777666555444333333444444333111222222111000000000000111/////////............------------,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,++++++***+++,,,,,,,,,,,,+++***++++++++++++++++++******,,,,,,++++++,,,,,,---...//////000111333444555555666777888888999;;;>>>AAACCCGGGKKKNNNRRRWWW___eeellloooqqqrrrooohhhaaa]]]WWWSSSNNNJJJIIIIIIHHHHHHKKKOOOXXXeeetttxxxtttoookkkiiikkkoooqqqttttttvvvwwwxxxyyyyyyyyyxxxzzz{{{~~~{{{yyy{{{wwwuuuvvvvvvvvvxxx}}}~~~}}}~~~~~~||||||zzzvvvpppjjjhhhjjjkkkppprrrvvv{{{}}}~~~yyywwwsssppplllgggaaa]]]UUUMMMGGGEEEEEEDDDFFFJJJJJJJJJHHHCCC===777333222/////////.........------,,,,,,,,,,,,++++++++++++************************''''''((())))))***++++++)))))))))))))))(((''''''(((((())))))))))))((((((((((((((()))))))))))))))((()))***,,,---///000111333222444777888888???GGGWWWeeessszzz{{{yyyuuuooollliiieeebbbaaa^^^\\\YYYZZZYYYVVVUUUUUUWWW[[[]]]___aaacccgggkkkrrryyy{{{rrrkkkgggeeedddcccggghhhgggfffeeefffiiillllllooossswww{{{}}}~~~}}}~~~|||xxxtttqqqpppooommmllljjjgggfffeeeeeeeeeeeefffgggiiijjjkkkkkkkkkkkkllllllmmmllllllkkkjjjkkkkkkkkkkkklllmmmnnnooorrrrrrttttttttttttrrrrrrooollliiihhhhhhiiiiiihhhlllllljjjhhheeeccc```___\\\XXXSSSNNNHHHCCC===999:::999777444333222333333444333333222222222333333444444444444444444444444333333222222111222222333222222333444666666444222444666999::::::;;;===???>>>@@@BBBCCCCCCCCCDDDFFFHHHHHHHHHIIIJJJLLLMMMNNNNNNNNNMMMLLLIIIGGGDDDCCC@@@>>>===<<<===>>>===<<<>>>????????????>>>>>>===>>>??????AAABBBCCCCCCDDDEEEFFFHHHKKKPPPUUUYYY[[[cccfffkkkoooqqqrrrtttuuuwwwtttpppkkkgggcccbbbaaa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aaahhhlllppprrrqqqkkkeee```ZZZVVVQQQMMMKKKJJJIIIIIIIIILLLRRR\\\jjjyyytttqqqllliiiiiikkkoooqqqssstttuuuwwwxxxxxxxxxxxxxxxyyyzzz}}}|||xxxvvvuuuuuuuuuuuuuuuvvvyyy||||||~~~||||||zzzvvvpppkkkhhhiiikkkmmmqqqwww}}}{{{yyyuuuqqqmmmhhhccc___UUUMMMFFFDDDDDDCCCEEEIIIHHHIIIHHHEEE???888444222////////////............,,,,,,,,,,,,,,,+++++++++************************(((((()))))))))*********)))))))))))))))((('''''''''(((((())))))))))))(((((((((((((((((())))))***,,,,,,---///000111222333333222444777888;;;DDDNNNaaammmzzz|||xxxqqqoookkkgggbbb^^^[[[YYYYYYXXXVVVUUUVVVXXX[[[]]]aaabbbdddhhhmmmtttzzz~~~|||uuullldddaaaaaabbbcccbbbbbbbbbbbbbbbeeeiiilllnnnqqqvvv{{{~~~~~~}}}~~~~~~|||xxxtttpppooonnnnnnmmmllljjjgggfffeeeeeeeeeeeefffhhhjjjkkklllkkkkkkkkkkkkkkkjjjjjjiiiiiihhhjjjjjjjjjjjjkkkmmmnnnoooqqqrrrtttuuuvvvwwwwwwwwwuuurrrnnnllllllllllllkkkmmmlllkkkiiifffbbb___]]]XXXTTTMMMGGGBBB>>>999777:::999777666555555555555333333333222333333444444555555555555555666666666777777666555555555555666333444444555666666555555555888;;;===>>>???BBBCCCCCCEEEHHHJJJJJJJJJKKKMMMNNNOOOOOOQQQSSSUUUWWWXXXZZZZZZZZZYYYVVVSSSOOOMMMHHHFFFCCCBBBCCCDDDCCCBBBCCCCCCDDDDDDDDDDDDCCCCCCBBBCCCCCCDDDEEEFFFGGGHHHGGGIIIMMMPPPUUUZZZ___ccckkkooouuu{{{|||vvvqqqnnnlllhhhgggeeeeeeeeeeeedddccceeecccaaaaaaaaaaaa___]]]^^^]]]\\\[[[ZZZYYYXXXXXXUUUTTTTTTRRRQQQOOOMMMLLLIIIHHHGGGEEEDDDDDDDDDDDDDDDDDDFFFGGGIIILLLMMMOOOLLLLLLLLLLLLLLLMMMNNNOOOLLLLLLLLLLLLKKKIIIHHHGGG???>>><<<999777777888999:::::::::;;;<<<===>>>???@@@@@@???@@@AAABBBCCCCCCDDDDDDCCCCCCBBBBBBBBBAAAAAAAAA@@@@@@?????????>>>@@@@@@AAABBBBBBBBBBBBBBBBBBBBB@@@???<<<:::999888999888777777888888777555555444333333222222333333111111111111000000000000222111111000000//////...............---,,,+++******+++,,,,,,,,,,,,+++***++++++++++++,,,,,,,,,,,,,,,,,,++++++,,,,,,---.........///111222333444555444555666777777888;;;======@@@DDDGGGJJJOOOVVV\\\dddhhhnnnrrrsssoooiiieee^^^ZZZTTTPPPMMMKKKJJJHHHKKKKKKNNNTTT^^^lllzzzooommmiiiggghhhkkkoooqqqrrrsssuuuwwwxxxxxxxxxwwwyyyxxxyyy|||}}}yyyvvvtttpppsssuuuuuuuuuwwwzzz||||||}}}{{{zzzxxxtttooojjjggggggiiijjjnnnuuu|||xxxvvvrrrnnnkkkgggccc```VVVNNNGGGDDDCCCBBBCCCGGGHHHJJJKKKIIIDDD===888555000000/////////.........---------,,,,,,,,,++++++************************+++*********)))))))))((()))))))))))))))(((''''''''''''((()))))))))))))))((((((''''''((()))***+++------...///111222333333111111444777999===JJJWWWkkkuuuzzzxxxsssllleee___[[[ZZZXXXWWWVVVVVVWWWYYY\\\^^^cccccceeeiiinnnsssxxxzzztttnnnfff```___```cccdddaaaaaaaaaaaabbbeeejjjnnntttwww{{{~~~|||}}}~~~~~~yyywwwtttpppnnnmmmmmmnnnlllkkkiiigggeeeeeeeeeeeeeeegggiiijjjkkkkkkkkkjjjjjjjjjiiihhhhhhhhhggggggjjjjjjjjjkkklllmmmooopppoooqqqsssvvvxxxzzz|||}}}zzzvvvqqqmmmllllllllllllllllllllljjjfffaaa\\\ZZZSSSNNNGGGBBB>>><<<:::888888777777666666666666666444444444333444444555555666555555555555666777888999999888777777777777777555555666777777777777777666888;;;>>>???BBBEEEGGGHHHKKKOOOQQQRRRRRRSSSTTTUUUUUUWWWYYY\\\___aaacccdddeeeffffffddd```\\\YYYQQQNNNKKKIIIJJJJJJIIIIIIIIIIIIJJJJJJJJJIIIHHHHHHFFFFFFEEEEEEFFFGGGIIIIIIJJJMMMPPPSSSWWW[[[aaafffnnnsss{{{~~~yyyvvvsssqqqnnnllllllkkkjjjiiiiiigggeeeeeeeeeeeecccbbbbbbaaaaaa```___^^^^^^^^^]]]\\\[[[YYYWWWTTTRRRPPPMMMLLLKKKJJJIIIIIIIIIIIIHHHIIIJJJLLLOOORRRTTTVVVUUUTTTSSSSSSRRRRRRRRRRRRTTTTTTUUUTTTSSSQQQNNNMMMEEEBBB???<<<::::::::::::;;;;;;;;;;;;<<<===>>>???AAAAAABBBBBBDDDEEEGGGHHHFFFFFFFFFEEEEEEDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDHHHHHHIIIJJJJJJJJJJJJJJJFFFEEECCC@@@>>>;;;:::999999888777777888888777666666666555444444444444444333333222222222111111111222222222111111000000000---------......---------***+++,,,,,,,,,,,,+++***************++++++,,,,,,,,,,,,++++++,,,,,,---.........///000222333444555333555666777666777:::<<<:::>>>BBBDDDFFFKKKRRRXXX```dddkkkqqqtttrrrooollleee```YYYSSSOOOLLLJJJHHHJJJJJJKKKNNNUUUaaapppzzzkkkiiigggfffgggkkkooorrrrrrtttvvvxxxyyyyyyxxxwwwyyyxxxxxx{{{~~~zzzwwwuuutttpppvvvyyywwwuuuwwwzzz{{{{{{}}}~~~|||xxxvvvsssnnniiiffffffgggiiimmmsssyyy}}}~~~}}}rrrpppmmmjjjhhhfffccc```XXXPPPHHHEEECCCAAABBBEEEIIIMMMPPPOOOJJJCCC<<<999000000000/////////............------,,,,,,++++++++++++++++++++++++++++++,,,++++++***))))))(((((()))))))))))))))(((''''''&&&'''((())))))******)))((((((''''''''')))***+++,,,,,,---...///000111111000111444888;;;BBBRRRaaasss|||uuujjjaaa]]]\\\XXXWWWWWWWWWYYY\\\^^^```dddeeefffjjjnnnrrrsssssskkkgggaaa^^^^^^```bbbcccbbbbbbbbbaaabbbeeekkkooovvvyyy|||}}}|||~~~~~~|||zzzyyyuuutttqqqooommmmmmllllllkkkjjjhhhfffeeeeeeeeeffffffggghhhiiijjjjjjjjjjjjiiiiiihhhggggggggghhhhhhjjjjjjjjjkkklllnnnooopppnnnooorrrtttxxx{{{}}}~~~xxxtttnnnkkkjjjjjjjjjjjjllllllllljjjfff```ZZZVVVLLLHHHBBB>>><<<;;;:::999666666666666666666666666888777777666666666777777777666666555666777999:::999999888777666666666666666777888888777777888:::666888;;;===???CCCHHHLLLOOORRRVVVYYYZZZZZZ[[[\\\\\\]]]___bbbfffiiilllnnnppprrrtttuuutttpppllliii___[[[VVVSSSRRRQQQPPPOOOOOOOOOOOOOOONNNMMMLLLLLLHHHGGGFFFEEEFFFFFFHHHHHHJJJNNNQQQSSSTTTWWW]]]bbbjjjpppyyy{{{xxxtttqqqooonnnlllkkkiiigggfffeeefffeeecccbbbaaa`````````______^^^^^^___^^^]]]\\\ZZZXXXVVVUUUSSSSSSRRRRRRRRRRRRQQQQQQMMMMMMOOOQQQTTTXXX[[[]]]^^^]]]\\\ZZZYYYYYYYYYYYY[[[\\\\\\\\\YYYVVVSSSQQQKKKGGGBBB>>>=========<<<;;;:::::::::;;;<<<======@@@@@@AAABBBDDDFFFHHHIIIHHHHHHGGGGGGGGGGGGGGGGGGFFFFFFGGGHHHIIIJJJJJJKKKLLLLLLMMMNNNNNNNNNNNNMMMMMMKKKHHHDDDAAA???===<<<:::888777777888999777666777777666555555555555666444444444333333333222222000000000000000000000000------......///.........***+++,,,,,,,,,,,,+++***))))))******++++++,,,,,,,,,,,,++++++,,,,,,---...---...///000111333444444333555777777777777999;;;:::===@@@CCCDDDIIIPPPUUU]]]aaaiiippptttuuutttsssmmmhhh```XXXSSSOOOKKKIIIFFFGGGIIIKKKPPPZZZhhhrrrgggfffeeeeeegggkkkooorrrssstttwwwzzz{{{zzzyyyxxxyyyxxxwwwzzz~~~zzzwwwuuutttsssuuu|||{{{wwwxxxyyyxxxzzz|||~~~}}}~~~wwwvvvsssnnniiifffeeefffhhhkkkppptttwwwxxxwwwwwwmmmjjjhhhffffffeeecccbbb[[[RRRJJJFFFCCC@@@AAADDDHHHLLLPPPQQQLLLDDD===:::000000000000/////////...///......---,,,,,,++++++++++++++++++++++++++++++************************)))))))))))))))(((''''''&&&'''((()))************(((((('''&&&''')))+++,,,------...///000000111222000222666:::>>>GGGYYYkkkxxxpppeee```___YYYYYYYYYZZZ\\\___aaaccceeeeeegggkkknnnooommmkkkdddbbb^^^]]]^^^_________^^^_________aaafffmmmqqqtttvvvzzz~~~~~~{{{yyyvvvuuuqqqqqqpppooonnnmmmlllkkkiiihhhgggfffeeeffffffggggggggggggggghhhiiijjjjjjhhhhhhgggfffggggggiiiiiiiiiiiijjjkkklllnnnooopppnnnoooppprrruuuwwwyyy{{{tttpppkkkhhhhhhjjjkkkkkkjjjkkkkkkjjjeee^^^WWWSSSHHHDDD???<<<;;;:::999888777888999999::::::::::::===<<<;;;:::::::::::::::999888777777888999;;;===;;;:::999888777777777777777888:::999777777999;;;888999:::<<>>::::::999999999::::::;;;<<<<<<===???AAADDDFFFGGGEEEEEEEEEEEEFFFFFFFFFFFFGGGHHHIIIKKKLLLNNNOOOPPPNNNOOOPPPPPPQQQQQQPPPPPPQQQOOOKKKGGGDDDAAA??????;;;999888888999:::888777888888777666666666666777555555555444444444333333//////000000111222222222///////////////...---,,,***+++,,,,,,,,,,,,+++*********++++++,,,------...,,,,,,++++++,,,,,,---...---...///000111222333444333555777888777888999::::::===@@@BBBDDDHHHNNNTTT[[[___fffnnntttwwwxxxyyyvvvpppggg^^^XXXRRRMMMKKKGGGIIIKKKKKKMMMTTT___gggfffeeeddddddfffkkkooorrrsssuuuxxxzzz{{{{{{yyyxxxyyywwwwwwzzz~~~}}}zzzwwwuuussssssssszzz~~~xxxyyyyyywwwyyy{{{}}}|||~~~wwwvvvtttooojjjffffffffffffhhhllloooqqqrrrqqqpppiiigggeeedddeeeeeedddccc]]]TTTKKKGGGCCC@@@@@@CCCEEEIIINNNOOOJJJCCC;;;777000000000000//////////////////...---,,,,,,++++++++++++++++++++++++++++++)))))))))***++++++,,,,,,)))))))))))))))(((((('''&&&'''((()))************(((((('''&&&''')))+++---//////000111222333333444111333888<<<@@@KKK^^^qqqxxxvvvhhhbbbaaa[[[[[[\\\]]]___aaadddeeeffffffgggkkknnnnnniiieeeaaa___]]]]]]]]]]]]\\\ZZZWWWYYYZZZ]]]aaahhhpppvvvqqqtttxxx}}}}}}zzzwwwtttrrroooooooooooonnnmmmlllkkkhhhgggfffeeeeeefffggghhhhhhgggfffffffffhhhiiijjjhhhgggffffffggghhhiiijjjhhhhhhiiijjjkkkmmmooopppnnnooooooppprrrtttvvvwwwqqqnnniiiggghhhkkkmmmnnnjjjkkkkkkiiiddd]]]VVVQQQFFFBBB>>>;;;:::999888666;;;<<<===>>>????????????AAA@@@???======<<<<<<<<<;;;:::999888999;;;===???>>>===<<<;;;::::::::::::777999:::999777777:::===999::::::<<>><<<:::;;;>>>@@@???EEEIIIIIIJJJNNNOOOMMMMMMJJJFFFCCCCCCBBBAAAAAA;;;===>>><<<;;;<<<@@@CCCFFFEEECCC@@@===:::888777;;;:::999888777777777777888999:::;;;===BBBIIIMMMUUU\\\dddhhhiiijjjmmmqqqwwwxxxyyy{{{}}}zzzssslllfffbbb\\\[[[YYYWWWVVVRRRNNNKKKEEEDDDBBB@@@>>><<<<<<;;;;;;;;;::::::::::::;;;;;;HHHLLLQQQXXX___hhhqqqwww{{{yyyssslllfffbbb___[[[XXX[[[WWWRRRPPPOOOOOOLLLJJJIIIGGGEEECCCBBBCCCDDDEEEIIIHHHHHHHHHIIIIIIJJJKKKMMMMMMLLLMMMNNNPPPRRRSSSUUUUUUVVVXXX\\\bbbgggjjjlllnnnooopppqqqrrruuuwww||||||zzzuuunnneee^^^YYYPPPLLLGGGCCCAAA@@@>>>===:::999999777666555444333888888999999::::::;;;;;;======>>>@@@AAACCCDDDDDDGGGIIILLLMMMOOORRRUUUXXXZZZZZZ[[[[[[ZZZYYYWWWVVVUUURRRLLLGGGAAA===;;;:::888999::::::;;;;;;;;;;;;777666555444444333444444444444444444444444444444222333333444444555555555444333111000...------,,,...---,,,,,,++++++,,,,,,******+++++++++,,,,,,,,,,,,,,,,,,---------............//////000000111111222333555666888999999999<<<;;;>>>CCCFFFGGGLLLRRRZZZ___fffkkkooottt{{{~~~}}}wwwlllccc^^^WWWQQQJJJIIIGGGGGGKKKPPPVVVZZZcccaaa___aaaeeekkkooopppuuuvvvxxxyyyyyyxxxxxxwwwwww{{{|||{{{|||~~~vvvqqqtttyyyxxxvvvvvvxxxxxxxxxxxxxxxwwwwwwwwwzzzzzzyyyzzz{{{~~~|||{{{{{{yyytttnnnhhhdddccccccbbbeeeiiilllmmmkkkiiigggbbbbbbaaa___^^^^^^```ccc```ZZZQQQHHHBBB???@@@@@@EEEHHHLLLOOOOOOKKKCCC>>>777444111/////////...------------,,,,,,,,,,,,,,,---,,,***))))))***,,,---((()))******+++***))))))'''((())))))''''''((()))******)))))))))((((((((())))))))))))***+++,,,---000000000000111333444555444888===BBBJJJYYYlllyyytttllliiifffeeeccccccccceeegggiiimmmnnnoooppppppmmmhhheeebbbcccdddcccaaa_________^^^]]]]]]```hhhpppvvvzzzyyyzzz{{{{{{yyywwwuuurrrqqqpppooonnnmmmlllkkkjjjiiiiiiiiiffffffeeeeeeddddddcccccceeeffffffeeeddddddfffhhhiiiiiijjjjjjiiiiiihhhgggiiiiiijjjkkklllmmmnnnnnnooooooooopppqqqqqqrrrrrrooonnnlllkkkjjjjjjkkklllnnnllliiiccc[[[SSSLLLGGGBBBAAA@@@>>>===???BBBFFFHHHPPPWWWZZZ]]]bbbcccbbb___ZZZTTTOOOLLLIIIFFFDDD@@@AAAAAA@@@>>>???CCCFFFEEEDDDBBB@@@===;;;:::999:::999888777666666666666555666777999;;;@@@GGGKKKUUU\\\dddjjjlllooossswww{{{}}}{{{ssslllhhh___\\\XXXUUURRRNNNIIIFFFAAA@@@>>><<<:::999888888666666555555555555666666999<<<@@@DDDIIIPPPWWW\\\fffjjjpppvvvyyyxxxuuussslllhhhbbb^^^[[[YYYUUURRRRRRNNNKKKIIIJJJJJJHHHFFFDDDCCCAAA???>>>>>>???@@@@@@???????????????@@@AAADDDCCCCCCDDDEEEGGGIIIJJJNNNOOOQQQTTTYYY___eeeiiilllnnnqqqrrrtttvvvzzz|||~~~~~~|||wwwnnncccXXXRRRLLLIIIDDDAAA@@@???>>>===999888666444333222111111444444444555555555666666777888999:::<<<===>>>>>>CCCEEEHHHJJJLLLOOOSSSVVVXXXXXXYYYYYYXXXWWWUUUTTTPPPLLLGGGAAA<<<999888777666777888999:::;;;;;;;;;777666555444444333333444333333333333333333333333222222333333444555555555555444222111///............---,,,,,,++++++,,,,,,***++++++++++++,,,,,,,,,,,,,,,,,,---------...............///000000111111222333555666888999999999<<<;;;>>>CCCFFFGGGLLLRRRWWW]]]dddjjjnnnttt{{{~~~tttkkkeee]]]VVVNNNLLLIIIHHHIIIMMMQQQTTTaaa___]]]^^^ccciiimmmoootttuuuvvvwwwwwwwwwvvvvvvxxxzzz{{{{{{~~~{{{tttqqqtttxxxwwwuuutttuuuuuuvvvvvvwwwvvvvvvvvvzzzzzzyyyzzz{{{}}}}}}zzz}}}}}}zzztttnnnhhheeeccccccccceeehhhjjjjjjiiigggeeeaaaaaa```^^^\\\]]]___aaaaaa[[[RRRIIICCCAAAAAABBBDDDFFFKKKOOOPPPMMMGGGBBB777555111//////000000///...------,,,++++++******---,,,+++******+++,,,---'''''')))***++++++++++++)))***++++++))))))***+++++++++************)))))))))))))))******+++------111111111222333444555666555999>>>FFFQQQaaarrr~~~wwwoookkkffffffffffffggghhhjjjkkkrrrtttvvvwwwvvvssspppmmmkkkkkkiiifffbbb``````bbbaaa```aaaeeellltttyyy{{{||||||{{{}}}~~~~~~xxxwwwtttqqqnnnllllllkkkmmmlllkkkjjjiiihhhhhhhhhffffffeeedddcccbbbaaaaaadddeeeeeedddcccdddfffhhhjjjjjjkkkkkkjjjjjjiiihhhiiiiiijjjkkklllmmmnnnnnnpppppppppqqqrrrrrrssssssoooooonnnmmmmmmmmmnnnooojjjhhhccc]]]UUUOOOIIIFFFDDDCCCCCCBBBCCCGGGMMMQQQWWWbbbmmmsssyyy~~~xxxrrrhhh___WWWQQQKKKHHH@@@@@@???===<<<===@@@CCCCCCBBBAAA???===<<<;;;:::888777666555444444444444222333444555888<<>>;;;:::888666555444333333222222111111111111222222111333555777999===BBBEEELLLPPPVVV[[[___`````````ZZZWWWTTTRRRRRRPPPNNNMMMJJJHHHFFFEEEFFFFFFEEEDDDAAA@@@>>><<<;;;;;;;;;;;;999999888888777888888888::::::::::::;;;>>>@@@AAAEEEFFFIIIMMMSSSZZZ```cccgggjjjmmmpppssswww{{{~~~~~~{{{uuujjj]]]PPPIIIFFFCCC@@@???>>>>>>>>>===888777444111///...//////000000000111111111111111333333444555777888999999<<>>999555333333333444555666888999:::::::::777666555444333333333333333333333333333333333333222222222333444555555555666555333222111000//////...------,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,---------......---......//////000111111222333555666888999999999;;;:::===BBBEEEFFFKKKRRRUUUZZZbbbhhhmmmttt{{{|||ssslllbbbZZZRRROOOKKKHHHGGGIIIKKKMMM___\\\ZZZ[[[```fffkkknnnssstttuuuvvvwwwwwwvvvvvvvvvyyyzzz{{{zzzrrrmmmoooqqqqqqpppqqqssstttuuuvvvwwwwwwvvvvvvzzzzzzzzzzzz{{{|||}}}~~~}}}zzz{{{~~~|||tttnnniiifffdddbbbdddeeeggghhhhhhfffeeeddd``````___]]]\\\\\\^^^```ccc]]]UUULLLFFFCCCCCCDDDEEEGGGJJJNNNPPPNNNIIIEEE888555111//////000000///,,,,,,,,,++++++*********,,,++++++******++++++,,,(((((())))))************+++,,,------++++++,,,---************************)))))))))***+++,,,---...111111111111222444555666555999@@@JJJXXXhhhxxx~~~vvvoookkkeeeeeefffgggiiikkklllnnnvvvyyy|||~~~}}}|||zzzyyywwwuuupppjjjddd``````aaa___```ccciiipppvvvzzz{{{~~~|||yyyyyyzzz|||||||||zzz|||~~~vvvtttpppmmmjjjiiihhhhhhlllllljjjiiiggggggffffffdddddddddccccccbbbbbbbbbcccdddddddddcccdddgggiiikkkllllllllllllkkkjjjjjjiiiiiijjjjjjkkklllmmmmmmooooooppppppqqqrrrrrrsssnnnoooooooooooooooooooookkkgggaaaYYYRRRMMMIIIGGGEEEEEEGGGHHHLLLSSS\\\bbbkkkvvv|||ooocccYYYPPPJJJAAA@@@===;;;::::::===?????????>>>===<<<;;;::::::666555444333333222222222111111222222333666;;;>>>FFFLLLUUU]]]eeekkkrrrvvvyyy|||zzzoooddd^^^XXXSSSKKKEEE@@@===:::888666555333222111000000///111111000000000000111111111333444444444666888;;;<<<>>>BBBGGGJJJMMMNNNOOOIIIHHHHHHIIIJJJKKKKKKKKKJJJIIIHHHGGGGGGGGGFFFEEECCCBBB@@@>>>===<<<<<<<<<::::::999888777777777777666666666666777999;;;<<<===???AAAEEEKKKQQQVVVYYY\\\___cccggglllpppvvvzzzzzzxxxssskkk```TTTIIICCCAAA???======>>>>>>>>>===888666222///---,,,---...////////////////////////111222222333555666666777777999===@@@CCCGGGLLLOOOQQQQQQPPPOOOMMMJJJGGGFFF@@@===777333000///000111111222444666777999999999666666555444333333333333222222222222222222222222111111222333444555555666555444333222000000000///......---,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------,,,,,,,,,---------......------......///000000111222333555666888999999999:::999<<>>???<<<<<<<<<;;;::::::999999555444333222111111111111111222222111000111444777===BBBIIIRRRZZZaaagggjjjnnnrrruuuxxxyyyyyyzzz{{{~~~{{{pppdddYYYRRRKKKGGG@@@;;;888666555444333222111000///.........000000000//////000000000...000111111000111333444444555777:::<<<>>>@@@@@@===???AAACCCFFFIIILLLNNNOOOOOOOOONNNLLLJJJIIIIIIGGGGGGEEECCCAAA???>>>>>>===<<<;;;999888777777666666555555444555666888999999:::;;;>>>BBBFFFIIIKKKOOORRRWWW\\\aaaffflllppppppllleee\\\SSSKKKEEEBBB???===<<<<<<===>>>===<<<888555222...,,,,,,---...------,,,,,,,,,,,,,,,,,,///000000111222333444444444666999<<>><<<:::777333000......000111000111333555666777888888666555444333333222222333111111111111111111111111000000111222333444555666444333222111000////////////...------,,,,,,------++++++,,,,,,,,,---------,,,,,,,,,---------......---------...//////000000222333555666888999999999:::999<<>>===:::999777777666666666444333333444555555666666777888:::<<<>>>???CCCGGGLLLQQQVVV[[[aaaeeeddd___WWWOOOHHHCCCAAA@@@===<<<:::;;;<<<<<<:::999555444111///------...///+++************))))))))),,,------...//////000000111333666888999<<<@@@CCCEEEDDDCCCAAA>>>:::777555555444222000///000000111111222333555666777777777666555444333222222222222000000000000000000000000///000111222333444555666333333222000000////////////......---------------,,,,,,,,,,,,------------,,,,,,,,,---------......,,,------......///000000222333555666888999999999::::::===CCCFFFHHHNNNTTTXXX]]]cccgggjjjooouuuzzz~~~sssjjj___\\\WWWQQQMMMJJJIIIIIIXXXUUURRRRRRXXX___eeeiiioooqqqrrrtttuuuvvvuuuuuuuuu~~~~~~||||||{{{qqqiiibbbaaaaaabbbgggmmmmmmooorrruuuwwwwwwvvvuuuuuuvvvwwwyyy{{{||||||}}}|||~~~|||{{{zzz{{{yyyrrrnnnllliiieeebbbaaaaaa``````aaabbbcccddddddcccaaa___```bbbdddfffdddaaa\\\VVVPPPJJJGGGCCCCCCFFFIIILLLMMMLLLJJJAAA<<<666222000000000///,,,,,,,,,,,,,,,---------+++++++++,,,,,,++++++++++++***)))(((((()))******'''((()))(((''''''((())))))))))))*********++++++))))))******,,,...///000111111111111333444555666999>>>KKK]]]ppp|||~~~rrrlllddd^^^^^^dddmmmsssyyyxxxxxxzzz{{{xxxooohhh```___```bbbgggooovvv{{{xxxzzz|||zzzyyy|||zzzpppiiifffdddgggmmmtttyyyzzzwwwtttlllhhhdddcccgggmmmsssvvvzzz|||tttqqqnnnkkkiiijjjkkklllmmmllljjjhhhgggeeeeeedddccccccddddddeeeeeeffffffcccdddeeeeeefffhhhkkknnnooooooppppppoooooonnnmmmooooooooooooppppppppppppnnnooooooppppppqqqrrrrrrqqqsssuuuvvvuuussspppnnnfffccc___[[[XXXVVVVVVVVV\\\aaaiiiqqqzzzqqqbbbYYYKKKEEE>>>::::::;;;;;;:::======<<<<<<;;;::::::999444333222111000000000000...///000/////////111333555666888===BBBFFFHHHIIIKKKMMMOOOPPPPPPPPPQQQSSSWWW]]]gggpppvvvxxxwwwvvvooojjjbbbZZZRRRKKKDDD@@@777555111000000111111000000//////............///---------,,,,,,---------///111222222111111111333---...///000111111000000222555888;;;@@@HHHQQQXXXZZZ\\\^^^^^^[[[YYYZZZ[[[VVVUUUTTTRRROOOMMMKKKIIIFFFEEECCC@@@>>><<<;;;;;;999888666444333333333333222333333444555555666666999<<>>===<<<:::999999999999666444111111000///............,,,+++++++++************++++++,,,,,,------......000111333444444666999;;;;;;<<<;;;:::999666444222111111111111111111111111222333444555666666666666666555444333222222222222//////////////////////////////000222333444555666444333222111111111111111//////...---------------,,,,,,,,,------------...,,,,,,,,,---------......,,,,,,---......//////000222333555666888999999999;;;;;;>>>DDDGGGIIIOOOVVVWWW\\\bbbgggkkkpppvvv{{{yyypppfffbbb]]]VVVQQQMMMJJJIIIWWWSSSPPPQQQVVV^^^eeehhhnnnoooqqqsssttttttttttttwww}}}xxxxxxxxxhhhbbb]]]^^^^^^___dddjjjkkkmmmqqqtttvvvvvvtttttttttuuuwwwyyy{{{|||}}}}}}}}}}}}zzzxxxwww{{{zzzrrrooommmjjjfffaaa```_________aaabbbccceeeeeedddbbbaaaaaaccceeeffffffddd```YYYRRRKKKGGG@@@AAACCCHHHLLLNNNNNNLLLEEE@@@999444222111111111///......------,,,,,,+++***++++++,,,,,,++++++***))))))(((((((((***+++,,,)))+++,,,+++***)))***+++*********++++++,,,,,,,,,))))))***+++,,,...000000222222222333444555666777;;;AAANNNbbbuuu}}}pppjjjaaa[[[\\\cccmmmtttwwwvvvwwwyyy{{{vvvlllddd```______aaahhhqqqyyyyyyzzzyyyvvvtttwww~~~wwwoookkkkkknnnsssyyy|||{{{wwwssseeebbb___```eeennnvvvzzz||||||tttrrrnnnkkkjjjkkkmmmooonnnmmmkkkiiigggfffeeedddeeeeeeeeeeeeeeeeeeeeeeeecccdddeeefffgggiiilllooopppppppppppppppooonnnnnnrrrrrrrrrrrrrrrsssssssssoooppppppqqqrrrrrrsssssssssuuuwwwxxxxxxuuuqqqoooeeedddaaa___^^^^^^^^^___eeejjjsss{{{rrrbbbXXXQQQKKKCCC???>>>??????>>>??????>>>===<<<;;;;;;:::444333222111000000000000,,,---/////////000333555111111222555999;;;======;;;===>>>???>>>???AAABBBEEEKKKTTT]]]bbbcccaaa___[[[VVVOOOIIICCC???:::777444222000///000111000/////////......---......//////..................///...000111111000//////000---...///111111111000000000222666999>>>GGGRRRZZZ^^^aaadddeeecccaaabbbddd^^^]]]\\\ZZZWWWTTTRRRPPPNNNMMMKKKHHHEEEDDDBBBBBB<<<;;;888666444444444444000000111111222222333333222555999>>>BBBGGGMMMPPPQQQNNNKKKFFFAAA>>>;;;:::;;;999888777777666333111/////////......---------///.........------,,,,,,,,,,,,------......//////...000111111111111444666555555666666666555333222///000111222222222222111333444444555666666666555555555444333222222222222////////////////////////...///000111333444555666555444444333222222222222//////...------------...,,,,,,,,,---------......,,,,,,,,,---------......,,,,,,------...//////000222333555666888999999999<<<;;;???EEEHHHJJJPPPWWWVVV[[[bbbggglllqqqxxx}}}}}}zzzrrrkkkgggaaaZZZSSSNNNJJJIIIWWWQQQNNNPPPSSSXXXaaaiiisssooooootttwwwuuutttvvvxxx|||wwwtttqqqggg```[[[YYYZZZ\\\bbbiiinnnpppssstttuuuuuuwwwxxxxxxxxxxxxyyyyyyzzzzzz{{{yyy{{{~~~{{{yyywwwxxx|||vvvtttrrrnnnjjjdddbbb___]]]\\\\\\^^^___bbbdddfffgggeeeddddddeeehhhhhhgggddd]]]SSSJJJDDDEEEDDDDDDGGGJJJMMMNNNNNNEEE===555111111111///---//////...---+++)))'''&&&************************************)))))))))))))))))))))))))))*********))))))))))))************((())))))******---111444111000111555555333666;;;>>>GGGWWWiiixxx~~~zzzqqqjjjccc___aaafffjjjkkkrrrsssuuuxxxxxxsssjjjccc^^^]]]^^^bbbiiiqqqwwwyyywwwtttoookkklllpppvvvzzzvvvpppooorrrvvvzzz}}}rrriiibbb\\\^^^gggrrryyy|||}}}uuupppkkkkkknnnooollliiilllkkkjjjhhhgggeeedddcccdddeeeeeeffffffeeeeeedddddddddeeefffggghhhiiijjjkkkkkkkkklllmmmnnnpppppprrrrrrsssssssssssssssssssssssstttuuuvvvvvvvvvvvv|||{{{zzzzzzyyytttlllfffggggggfffeeefffggghhhiiisssvvv{{{ttthhhaaaVVVOOOFFFCCCEEEGGGGGGFFFEEEDDDBBB@@@===:::888777777555333111000000111222......///////////////...000000111333555777888999777777666666777888999:::<<>>:::888777555444111111000000//////.....................///000000000000000000////////////,,,,,,---...///000111111......//////000111111222...///000555<<>>999999999666444444333222111000000111111222444555777999;;;???DDDHHHIIIFFFBBB???===<<<:::888777666444333222111111111.........------,,,,,,,,,------------------------///---+++))))))+++---...,,,---...000111111222222111222333333333111000///222111000000000111222333888888777777666555333222222222111111000/////////111000///...............***+++,,,...000333444555555555444333222000000///111111000///////////////------------------------------------------------333111///---,,,---...///222222333555666888999:::;;;>>>BBBFFFIIILLLPPPSSSYYY\\\aaafffkkkqqqwww{{{}}}}}}xxxooojjjccc]]]WWWQQQKKKHHHYYYUUUSSSVVVYYY[[[```gggnnnqqqtttvvvvvvvvvwwwxxxuuu}}}xxxtttoookkkccc]]]XXXXXXYYYZZZ```gggkkknnnqqqrrrrrrssstttvvvvvvvvvwwwxxxyyyyyyzzzzzzzzz|||~~~}}}zzzwwwyyy}}}yyyvvvsssoookkkeeeccc___]]][[[\\\]]]___cccfffhhhiiihhhfffffffffiiijjjiiifff___VVVLLLFFFDDDCCCCCCEEEHHHKKKLLLLLLGGG@@@777333222222///---------------,,,+++))))))************************++++++******))))))((((((++++++******))))))(((((())))))))))))************)))***+++++++++---111444222111222555555444777<<>>>>>>>>>>>>>>;;;777444444333333222111111000000///////////////............///000000111111000000000/////////......///////////////000.........//////000000000333222222444888>>>DDDGGGQQQUUU\\\aaaeeeiiilllooonnnnnnooonnnllljjjhhhgggfffeeebbb___[[[WWWTTTRRRMMMEEE>>><<<;;;777555555444333222000000000111222333444555888;;;@@@EEEIIIIIIFFFBBB>>>===;;;999888666555444222111111111000.........------,,,,,,,,,------------------------...---+++******+++---...------///000111111111111000111222222222111000///222222111000111222333444444444444333222111000///000000000//////.........000000///...............,,,,,,...///111333444444666555555444333222111000111111000///////////////------------------------------------------------///...---,,,,,,...///111111222333555666888999:::;;;>>>BBBFFFIIIMMMQQQTTTYYY\\\aaafffjjjpppuuuyyy|||}}}yyyppplllfff```YYYSSSMMMIIITTTOOOLLLMMMPPPSSSZZZaaammmzzz{{{uuuvvvyyyxxxtttyyy|||zzzvvvrrrkkkddd^^^YYYUUUVVVWWWYYY^^^eeejjjmmmppprrrrrrssstttuuuttttttuuuvvvwwwxxxyyyzzz{{{|||}}}}}}}}}~~~~~~zzzxxxyyy||||||}}}yyyuuuqqqmmmfffddd```]]][[[[[[]]]^^^cccfffjjjlllkkkiiihhhhhhkkklllllliiibbbXXXOOOIIICCCBBBAAACCCFFFIIIKKKKKKJJJCCC;;;666444222///---,,,------------,,,,,,+++************************,,,,,,+++***))))))((((((,,,,,,+++***)))(((''''''))))))))))))************+++,,,---,,,,,,---000333333222333555555444777<<>><<<;;;999888555444333222111000000000.........---------------------------------------------,,,,,,,,,,,,------......///000111111111000000000111111222111111000222222111111222333444444333333222111000///......///.....................//////......------......//////000111222333333444666666555444333222222111000000000000////////////------------------------------------------------++++++++++++---///111222111222333555777888999:::;;;>>>CCCFFFIIIMMMQQQTTTYYY\\\```dddiiinnnssswww{{{~~~~~~zzzrrroooiiiccc]]]VVVNNNIII\\\TTTNNNNNNQQQXXXdddnnnppptttuuuxxxvvvwwwyyyzzzxxxwwwtttkkkaaaZZZUUUSSSUUUVVVXXX]]]cccjjjmmmqqqsssttttttuuuvvvrrrrrrssstttvvvwwwxxxxxxzzz{{{||||||{{{|||~~~~~~zzzwwwwww{{{zzz{{{vvvrrrnnniiifffaaa]]][[[[[[]]]^^^bbbfffkkkmmmmmmkkkiiihhhkkklllmmmjjjdddZZZPPPJJJCCCAAA@@@BBBEEEIIIKKKKKKLLLGGG???999555333000...------......------,,,+++************************---,,,++++++***)))((((((+++*********))))))((((((((()))))))))************---...///...---...000222333111222444555444777===DDDRRRgggyyy}}}wwwpppjjjeeeaaa___eeefffggghhhfffccc^^^[[[XXX[[[```gggnnnssstttssskkkhhhdddaaa```bbbfffhhhppptttwwwwwwuuuuuuxxx{{{zzzoooccccccdddjjjrrr{{{zzzvvvtttlllkkkiiijjjlllnnnmmmkkkhhhhhhgggfffeeeddddddccceeeeeeeeeeeedddcccbbbaaadddddddddeeefffggggggggghhhhhhhhhhhhiiijjjkkklllnnnnnnppprrrtttvvvwwwxxxzzz{{{}}}}}}xxxsssnnniiiggggggkkksss|||zzzssspppmmmlllmmmoooqqqrrrpppjjjaaaZZZVVVTTTSSSQQQOOONNNKKKHHHDDD@@@>>><<<999888666555444333333444111111111111111111000///////////////000000000000/////////...............222333444555555444444333222111//////000111111000000000000000000000000000/////////...///000000111222222111111111000000000111111111000000000//////222222222222222222222222000000000222555999<<>>;;;:::888777444333222111000//////000...............---------------------------------,,,,,,,,,---------------//////000111111111111111000000000111111111111111222222222333333444555555555555333222111111000000..................////////////......---......///111111222222222333333333555555444333222222111111///000000000000000//////------------------------------------------------*********+++---...000111111111333555777888:::;;;<<>>HHHWWWmmm}}}zzzrrrkkkddd```^^^```aaabbbaaa```]]][[[ZZZZZZ^^^dddlllrrrtttrrrooogggeeebbb______```cccdddjjjllloooppprrruuu{{{xxxnnnaaaccchhhooowww~~~{{{wwwsssppplllkkkjjjjjjkkkkkkjjjiiiggggggffffffeeeeeeeeedddeeeeeeeeeeeeddddddcccbbbdddeeeeeeffffffggggggggghhhhhhhhhhhhhhhiiijjjkkkmmmnnnooorrrtttvvvxxxyyy{{{|||~~~{{{uuupppmmmlllkkkqqqzzz|||vvvkkkgggcccbbbeeejjjnnnppprrrmmmddd]]]WWWSSSQQQPPPLLLKKKHHHEEEBBB???===<<<999888777666555444444444222222333333222111111000------...///000111111222111111111000000//////...---...///000000111111111222000//////000111000...000000000000111111111111///////////////000111111222222222222111111111111000000000111111111111222222222222222222333333333000111333555888;;;===??????AAACCCFFFJJJQQQYYY^^^ffflllsssvvvvvvwwwyyy{{{~~~yyykkk___QQQIIICCC===:::;;;777555444222000000000000555555888>>>GGGOOOTTTVVVNNNJJJCCC>>>;;;999888666222111000///////////////........................------------------------,,,,,,,,,------.........000000111222333333333333111111111111111222222222222333333444555666666666666555333222111000000111.........//////000000000//////.........//////000222222222222222222222222333333222222111000000000...///000000000000//////------------------------------------------------,,,,,,,,,,,,------......000111333555777999:::;;;<<>>888444111000//////......,,,+++***)))************************+++++++++++++++*********''''''((()))***+++,,,,,,))))))))))))************,,,...//////......000111111///000333555666;;;BBBOOO^^^ssszzzrrriiibbb^^^\\\[[[\\\]]]]]][[[ZZZ[[[\\\^^^cccjjjrrrwwwuuupppkkkdddbbb```^^^^^^___aaabbbaaadddhhhlllrrryyytttjjjaaafffmmmuuu}}}~~~{{{wwwrrrnnnllljjjjjjkkkkkkjjjiiihhhhhhggggggffffffffffffffffffdddeeeeeeffffffeeeeeedddfffffffffggggggggghhhhhhhhhhhhhhhhhhhhhiiijjjjjjmmmnnnooorrrtttvvvxxxyyy|||}}}|||wwwsssqqqqqqrrrxxxwwwqqqccc___ZZZYYY\\\bbbhhhkkkppplllddd[[[TTTOOOLLLKKKGGGFFFEEECCCAAA???>>>===::::::999888777666555555444444444444333222111111------...///111222222333333333333222111000///...---......///000111222333000///......//////...,,,000000000111111111111222000000//////000000111222333333333222222222111111000000111111222222222333000000111111222333333333666777888999:::;;;<<<<<<>>>??????@@@BBBGGGMMMRRR\\\dddmmmqqqqqqrrruuuyyyyyylll]]]SSSJJJAAA<<<;;;666555333222111111111222666666:::CCCNNNWWWZZZ[[[SSSMMMFFF???;;;999777666111000///............................../////////---------------------------,,,,,,,,,---...///000000111222444555666666666444444333222222222222222222333444666777777777777444333111///.........///------...///000000111111000000//////000000111111222222222222222222222222222111111111000000000000---...000111111000//////------------------------------------------------............------------000111222444777999;;;<<<<<>>???BBBFFFIIIKKKMMMJJJEEE???999444111111,,,,,,,,,,,,,,,+++************************************++++++++++++,,,,,,(((((())))))******++++++))))))))))))***************,,,...///......///111111///000444777999???FFFVVVeeeyyyzzzpppfff^^^ZZZYYYWWWYYYZZZYYYXXXYYY[[[^^^dddiiiqqqxxxzzzvvvnnnhhh```___^^^]]]]]]^^^```aaa___aaaeeekkkrrrzzzyyyooogggccciiisss|||~~~}}}zzzvvvrrrmmmiiigggfffhhhjjjjjjjjjiiiiiiiiiggggggggggggggggggggggggddddddeeefffggggggggggggggggggggghhhhhhhhhhhhhhhiiiiiihhhhhhiiiiiijjjjjjmmmnnnppprrrtttvvvxxxyyyzzz{{{~~~|||{{{|||{{{qqqjjj^^^ZZZUUUTTTXXX___eeehhhmmmiiibbbYYYPPPKKKHHHGGGDDDDDDCCCCCCBBBAAAAAA@@@<<<<<<<<<;;;:::999888777555555555444444333222111000000111111222222222222222222222222111///---,,,111111111222222333444444///......///000000///...000000111111111222222222000000//////000000111222444333333333333222222222222222222222222111111111111111222444555666777888999:::;;;<<<<<<<<<<<<;;;============>>>BBBGGGKKKQQQZZZdddiiijjjjjjnnnrrrxxx}}}lll___SSSFFF>>>;;;555444333222111222222333444666<<>>>>>===<<<:::999555555555555444333222111333333333333222222111111111111111111000...,,,***222111111000000111111222/////////000333444333111000000111111222222222222000000000000000111111222444444444333333333222222555555444333222111000///444555666888999;;;<<<===888999;;;===>>>>>>======;;;;;;<<<<<<>>>AAAFFFIIIIIIRRR]]]bbbccccccggglllooowwwvvvhhhYYYJJJ???;;;555444333222222222333444333555<<>>888333222111000...,,,+++++++++,,,*********++++++,,,,,,,,,*********************************))))))))))))))))))&&&%%%&&&)))++++++)))+++,,,---///000111111111111111222555666:::FFFRRRggguuu}}}yyynnnddd\\\WWWSSSQQQTTTUUUTTTTTTUUUXXX^^^bbbhhhnnnuuuyyywwwpppiiieee\\\[[[ZZZZZZ[[[]]]___aaaaaadddhhhnnntttyyy}}}~~~~~~|||tttjjjeeeeeejjjttt~~~~~~zzzvvvssspppiiibbb```cccdddgggjjjkkkjjjiiiiiiiiihhhhhhhhhhhhgggggggggggggggffffffffffffggghhhhhhiiihhhgggffffffggghhhiiillllllkkkjjjjjjkkkkkkkkkmmmmmmnnnooorrrtttvvvwwwvvvyyy}}}~~~}}}xxxpppgggaaa\\\[[[ZZZZZZ[[[^^^aaacccbbb___YYYRRRLLLGGGEEEDDDDDDDDDDDDDDDEEEFFFGGGHHHGGGEEECCC@@@===<<<<<<;;;888777666555333222111000333333222222222222222222222222222333333444444444222222222222222333333333222222111111111111111222222222222222222222222222666666555444333333333444666666666666666666666666666666666666555555444333222444777888888888999;;;<<<>>>AAABBBAAA?????????<<<<<<===>>>???AAACCCDDDLLLPPPUUU[[[___aaaaaa```fffppp~~~nnn\\\NNNEEEAAA<<<666222444666666555777555;;;BBBJJJUUU^^^```\\\XXXRRRIIIAAA;;;888666555------............------////////////...---,,,+++------------------------......---......///000111444333444777:::===??????===<<<:::999999888777666555555666777777777777777333222111000///...------------------///000111222111111111111111111111111222222111111111111111111333333222222111222222222000111222333222000...---,,,++++++******++++++,,,---------.........//////...------......///000111222444666888999:::===???@@@CCCHHHLLLPPPTTTYYY\\\]]]___bbbfffjjjlllmmmmmmrrrrrruuuyyy~~~xxxqqqjjjbbbYYYSSScccYYYOOOMMMOOOSSSYYY```jjjllloooqqqrrrsssuuuwwwyyyxxxwwwuuuqqqiiiaaa[[[SSSMMMGGGGGGHHHJJJQQQXXXccciiiooopppqqqtttuuusssttttttttttttssssssssssssttttttsssssstttuuuwwwxxxzzz}}}|||xxx{{{yyyzzz|||yyyqqqooolllhhhfffeeeffffffhhhhhhjjjlllnnnmmmiiifffddddddddddddccc^^^TTTMMMFFFCCC>>>===>>>AAADDDEEEIIIJJJIIIEEE???888222000000...---+++************++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***))))))))))))))))))))),,,***)))***---......---+++,,,---///000111111111222222444666888<<>>???@@@BBBCCCEEEFFFHHHKKKPPPUUUYYYZZZZZZZZZ```iiiwwwqqq___PPPGGGBBB===777333555777666555777555;;;AAAHHHRRR[[[\\\XXXVVVQQQHHHAAA<<<888555333...//////000000//////...111000...,,,,,,,,,------------------------------,,,,,,+++,,,,,,---...///444444555777:::===@@@@@@@@@???>>>===<<<:::888777777777888999999999888777222222111000///...---,,,---------...///000111222111111111111111111111111222222111111111111111111333333222222222222222333111222222333222000...---,,,,,,++++++++++++,,,,,,,,,------------............------......///000111111333666888999:::===???AAADDDHHHMMMPPPUUUYYY]]]```aaadddhhhkkkmmmooopppqqqrrrtttxxx}}}}}}vvvnnneee\\\VVVRRRKKKFFFIIIMMMRRRZZZaaajjjlllppprrrrrrsssuuuvvvxxxvvvuuurrrnnnggg___YYYSSSLLLGGGGGGHHHJJJQQQXXXaaahhhnnnoooqqquuuvvvttttttttttttsssrrrrrrqqqqqqtttssssssssstttuuuwwwxxxyyy|||~~~zzzzzzxxxzzz|||xxxpppnnnllljjjiiiiiiiiiiiijjjkkkmmmooopppmmmhhhdddbbbaaaaaabbbbbb^^^VVVOOOIIIEEE???<<<<<<>>>@@@AAAGGGIIIJJJGGGAAA999333000...---,,,+++***))))))))),,,,,,++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,))))))))))))))))))*********)))((()))+++,,,,,,+++,,,---...///000111111111444333555777:::???LLLYYYqqq{{{|||ttthhh^^^WWWTTTSSSRRRRRRSSSUUUVVVZZZ___fffkkkqqqsssuuutttnnnfff```]]]ZZZZZZ[[[\\\^^^___aaabbbfffhhhjjjmmmpppssstttuuuuuuqqqmmmkkkgggccceeejjjvvv~~~|||yyytttnnnhhhccc]]]WWWWWW[[[```cccgggiiiiiihhhhhhhhhggggggggggggffffffffffffeeeeeeeeeeeefffffffffggghhhhhhgggggggggggghhhhhhkkkjjjjjjjjjjjjjjjkkkkkkjjjkkklllmmmooorrrtttuuuwwwxxx{{{}}}}}}yyyxxxvvvrrrqqqrrrtttttttttsssrrrmmmgggbbb\\\ZZZXXXVVVVVVWWWZZZ\\\[[[YYYUUUQQQNNNKKKIIIHHHHHHHHHIIIJJJKKKMMMOOOPPPRRRPPPLLLGGGBBB>>>;;;:::999999888777666666555555555444333333222222333333444444333333444444555555666666666666555555555555666555444333333333333333111222222333444555666666555444444333333333333444555666777777888888888888777888888888888888777666777:::===>>>???@@@BBBDDDBBBEEEHHHJJJIIIGGGFFFFFF@@@AAABBBDDDEEEGGGHHHIIIGGGIIILLLOOORRRSSSTTTTTTXXX___lllyyyuuucccTTTIIICCC===888555777777555555777777===DDDIIIQQQWWWWWWTTTRRRMMMFFF@@@<<<888444222000000111111111111000000222000---******+++---///------------------------,,,,,,+++,,,,,,---...///444444555777:::===@@@BBBDDDDDDDDDCCC@@@===:::888999:::;;;<<<<<<;;;999777111111000///...------,,,---------...///000111222222222222222222222222222111111222222222222222222333333222222222222333333222333333333222000...,,,---,,,,,,++++++,,,,,,---,,,,,,,,,,,,------------...------......///000111000333555777888:::===???AAADDDIIIMMMQQQUUUZZZ]]]bbbbbbdddfffiiimmmoooqqqqqqrrruuuxxx|||}}}uuukkkaaa[[[SSSMMMIIIJJJNNNRRRZZZbbbgggjjjoooqqqrrrssstttuuutttsssqqqooollleee^^^YYYRRRLLLGGGFFFGGGJJJPPPXXX```ggglllnnnppptttvvvtttssssssssssssssssssssssssvvvuuutttttttttuuuvvvwwwyyy|||~~~{{{zzzyyy{{{{{{vvvoooooonnnmmmlllllllllllllllmmmoooqqqqqqnnnhhhdddbbbaaa```aaaaaa]]]VVVQQQJJJEEE???;;;;;;===???@@@EEEHHHKKKJJJDDD<<<555111......---,,,+++***)))))),,,,,,,,,++++++*********)))))))))))))))))))))))))))))))))))))))************)))((())))))***++++++------...000000111111111444333444888;;;BBBQQQ___vvv~~~zzzsssggg^^^XXXUUUTTTTTTTTTUUUWWWYYY]]]bbbjjjooosssuuuuuurrrmmmgggcccaaa[[[\\\]]]^^^```aaacccdddiiijjjllloooqqqrrrssstttsssmmmhhheeebbbbbbhhhooo|||~~~yyyvvvqqqjjjccc]]]WWWQQQSSSXXX]]]aaafffiiiiiihhhhhhhhhggggggggggggfffffffffeeedddeeeeeefffffffffffffffhhhhhhgggggggggggghhhhhhjjjiiiiiiiiiiiijjjjjjkkkjjjkkklllmmmooorrrtttuuuwwwxxxyyy{{{}}}yyyuuutttsssooonnnoooppppppqqqrrrqqqnnnhhhddd^^^[[[XXXUUUTTTUUUXXXZZZ[[[ZZZYYYVVVTTTRRRPPPOOOKKKKKKLLLMMMNNNOOOQQQRRRSSSQQQMMMIIIDDD@@@===;;;888888888888888777777777777666555444444333333444555555444444555666777888::::::999999888888888777777666555444333333333333111222333444666777888999999888777666555444444444777888999:::;;;;;;::::::999::::::;;;;;;;;;::::::;;;===AAABBBCCCDDDFFFHHHJJJMMMPPPQQQOOOMMMKKKKKKEEEFFFGGGIIIJJJKKKLLLMMMIIIJJJKKKLLLNNNOOOPPPPPPQQQXXXbbbnnn{{{xxxfffVVVJJJDDD===888666777777555666:::===DDDJJJMMMRRRVVVUUUPPPLLLHHHCCC>>>;;;888444222000000111111111111000000000///---,,,,,,,,,---.................................---......///000111333444555777999<<>>===888888888888999999999999999888777666666555555555666666555555666888:::<<>>===<<<<<<;;;;;;999888666555444333333222222333444555777999::::::;;;:::888777666555444444777999:::<<<<<<;;;::::::999:::;;;<<<<<<<<<<<<<<>>999777777777777;;;@@@EEELLLRRRSSSTTTUUUSSSNNNGGGDDD@@@===:::888666444///000000111111000000///---...///000///...---,,,..............................---......///000111222333555666777;;;@@@EEEKKKNNNQQQPPPJJJDDD???<<<;;;<<<<<<<<<;;;999666444000000000///......------............000111222333222222222222222222222222111111222222333333333333333222222222333444444555444444333222111000///......------------------...+++++++++,,,,,,,,,------...------......///000111000333666888999;;;>>>AAACCCFFFKKKOOOSSSWWW\\\___aaaaaabbbdddfffjjjmmmoooqqqsssvvvxxxzzz~~~vvvlllfffOOOIIIDDDCCCCCCGGGPPPZZZ```eeelllrrrtttuuuuuuuuupppooommmkkkhhhddd^^^YYYRRRKKKFFFFFFGGGIIIPPPWWW___ffflllmmmooossstttrrrpppqqqrrrtttvvvxxxyyyzzzxxxxxxvvvuuuttttttuuuuuuvvvyyy|||~~~}}}{{{{{{{{{~~~yyyttttttttttttsssqqqooommmllllllmmmooopppooollliiigggeeebbbbbbbbb```ZZZVVVMMMHHH@@@;;;:::<<<>>>@@@>>>BBBEEEEEE@@@999333////////////...---,,,+++***,,,,,,++++++++++++++++++++++++++++++++++++++++++((((((((()))******++++++***+++,,,+++******+++---...///000000111111111000333222444999???KKK]]]nnn}}}|||vvvlllddd___[[[YYYXXXYYY[[[]]]___ccciiipppuuu|||{{{yyyssslllgggcccbbbdddcccbbbbbbccceeegggiiimmmnnnpppsssuuuwwwxxxxxxpppggg___[[[[[[```lllxxx}}}xxxtttooohhh```ZZZSSSNNNOOOTTTYYY^^^eeeiiikkkjjjjjjjjjhhhhhhhhhhhhggggggggggggdddeeeggghhhhhhhhhgggfffgggggghhhhhhhhhhhhgggggggggggggggggghhhiiijjjjjjkkklllmmmnnnpppsssuuuvvvwwwxxxyyy{{{~~~~~~vvvqqqiiiddd```aaaaaa^^^^^^``````ccciiinnnqqqoooiiiddd]]]ZZZVVVSSSSSSVVVYYY\\\eeeeeeffffffdddbbb___]]]YYYXXXVVVSSSQQQOOONNNNNNJJJJJJIIIGGGEEEBBB@@@???999999999:::;;;<<<<<<===<<<;;;:::999888777777777777777666777999<<>>;;;:::999777555444444333444444555777888:::;;;;;;:::999888777666666666666:::;;;===>>>>>>===;;;:::999:::;;;<<<===>>>>>>>>>CCCFFFKKKOOOSSSVVVZZZ]]]```bbbdddbbb]]]WWWRRRPPPQQQRRRSSSTTTTTTSSSRRRQQQLLLJJJGGGDDDCCCCCCEEEFFFKKKPPPXXXbbbmmmzzzzzzlll\\\OOOGGG@@@;;;888999999;;;CCCKKKQQQXXX]]]\\\ZZZYYYUUUPPPJJJFFFAAA===;;;999888666000000111111111111000000,,,...111222222000...,,,........................,,,,,,+++,,,,,,---...///000222444555555999@@@EEENNNSSSXXXWWWQQQIIICCCAAA======<<<:::999777555444111000000000////////////.........///000111222333333333333333333333333333111111222222333444444444333222222333333444555666333333333222111111000000///......------......///,,,,,,,,,,,,------------...------......///000111111333777999;;;===@@@BBBDDDGGGLLLPPPTTTXXX]]]```cccccceeegggiiilllnnnooonnnqqquuuvvvwww{{{{{{rrrlllKKKGGGEEEEEEEEEFFFNNNWWW___eeemmmtttwwwxxxxxxxxxsssqqqnnnkkkgggaaa[[[WWWRRRKKKFFFEEEFFFIIIOOOWWW```ggglllmmmnnnqqqrrrppppppppprrrsssuuuvvvwwwxxxtttssssssrrrssstttuuuvvvvvvyyy|||~~~~~~|||yyyzzz}}}~~~~~~}}}wwwwwwxxxwwwuuuqqqnnnlllkkkkkkkkkmmmooopppooommmhhheeeccccccdddccc___[[[RRRKKKCCC<<<:::;;;===>>>???BBBEEEEEE@@@:::555222............---+++***(((++++++++++++++++++,,,,,,++++++++++++++++++++++++'''(((((()))******++++++''')))***(((&&&&&&(((***//////000111111111111000333333555;;;CCCPPPeeevvv}}}wwwooogggbbb]]]ZZZWWWYYYZZZ]]]aaaeeemmmuuuzzz}}}yyyrrrmmmjjjiiijjjhhheeeccccccfffiiillloooppprrrtttuuuvvvwwwwwwnnnfff^^^[[[]]]dddsss}}}xxxtttmmmggg```ZZZSSSMMMMMMRRRYYY^^^eeejjjllllllkkkkkkjjjiiiiiiiiihhhhhhhhhhhheeefffhhhiiijjjiiihhhgggfffggghhhiiiiiihhhgggfffgggffffffggghhhiiijjjjjjjjjkkklllmmmooorrrtttuuuvvvxxxzzz|||{{{tttlllfffbbb[[[UUURRRTTTTTTSSSSSSUUUXXX]]]fffoootttsssnnniiiaaa^^^[[[YYYYYY]]]bbbeeepppqqqrrrrrrppplllhhhfffbbb```\\\XXXSSSOOOMMMKKKHHHHHHHHHGGGEEECCCAAA@@@;;;;;;<<<===>>>???@@@AAA???>>>===;;;:::999999999888777777888;;;???CCCFFFIIIHHHGGGFFFDDDCCCBBBAAA???>>><<<:::888777666666666666777888999:::;;;<<<999999::::::;;;===>>>???AAABBBDDDEEEDDDBBB@@@>>>>>>???@@@BBBCCCDDDDDDDDDEEEJJJQQQXXX___eeekkkoooqqqssstttqqqjjjbbb\\\XXXVVVWWWXXXXXXWWWUUUSSSRRRNNNKKKFFFAAA???@@@AAACCCHHHMMMTTT]]]gggrrr}}}|||ooo```SSSKKKCCC>>>;;;;;;===BBBMMMXXX```gggllljjjfffbbb^^^YYYQQQLLLEEE@@@<<<:::999888111111222222222222111111///000111222222111000///........................,,,,,,+++,,,,,,---...///...111333333333777???EEERRRXXX^^^^^^WWWNNNHHHFFF@@@>>><<<999777666555555111111111111000000000000.........///000111333333333333333333333333333333111111222222333444444555222222222333333555666666333222222111111222222222//////............//////,,,------------............------......///000111222555888:::<<<>>>AAADDDEEEHHHMMMQQQUUUYYY^^^aaabbbccceeehhhjjjlllmmmnnnkkknnnrrrsssssswwwwwwsssHHHFFFFFFGGGEEEDDDIIIPPP___eeennnvvvyyyzzz{{{{{{vvvsssoookkkfff```YYYTTTQQQKKKFFFEEEFFFIIIOOOWWW```ggglllmmmnnnqqqqqqooopppqqqqqqrrrssstttuuuuuuooooooooopppqqqtttvvvwwwxxx{{{~~~~~~}}}xxxyyy}}}~~~|||}}}yyyyyyzzzyyyvvvrrrmmmkkkjjjiiiiiikkknnnpppppppppgggeeecccdddffffffccc```VVVOOOEEE===::::::;;;<<>>@@@AAABBBCCCDDD@@@???>>>===;;;;;;::::::888888888999===AAAFFFIIIKKKKKKIIIHHHFFFEEEDDDCCCBBB@@@>>><<<:::999888777777777888999::::::;;;<<<:::;;;<<<>>>AAADDDFFFHHHIIIJJJLLLLLLKKKIIIFFFDDDDDDEEEGGGHHHJJJJJJKKKKKKGGGMMMUUU___hhhpppxxx}}}~~~vvvmmmeeeaaaYYYZZZZZZZZZYYYWWWTTTRRRPPPMMMGGGBBB??????AAACCCFFFJJJQQQYYYcccmmmxxx~~~}}}qqqcccVVVNNNFFFAAA>>>>>>@@@FFFSSS```mmmtttyyyvvvppplllgggbbbXXXRRRJJJBBB>>>;;;999888222333333444444333333222222111111111111111222222////////////////////////...............///111111---000222222222666>>>EEETTT[[[bbbbbb[[[RRRLLLJJJBBB@@@===999666666666666222222222111111111111111......//////000222333444333333333333333333333333111111222333333444555555222222222333444555666777222222111111222222333444//////............//////---------.........//////...------......///000111333555888;;;===???CCCEEEEEEIIIMMMQQQUUUZZZ^^^aaa___aaadddgggiiijjjkkkkkkhhhllloooppppppttt|||{{{wwwNNNKKKGGGDDDDDDGGGKKKNNN[[[dddnnntttxxx}}}~~~|||zzzvvvqqqkkkfff```ZZZVVVOOOJJJEEEDDDDDDGGGPPPYYYeeefffiiilllnnnppppppqqqqqqqqqqqqppppppppppppppppppnnnmmmlllmmmpppssstttwwwxxx{{{}}}}}}zzzyyywwwwwwyyy~~~~~~|||yyyvvvssspppkkkhhhlllkkkjjjkkknnnoooooonnnjjjgggcccccceeeggggggeee[[[PPPEEE>>>;;;999;;;@@@???FFFJJJHHHDDD@@@:::333222333222///,,,***,,,...,,,,,,+++***)))))))))*********))))))))))))******************)))))))))(((''''''(((((()))***,,,,,,......//////000000111111666888:::>>>JJJ```sss}}}}}}wwwoooiiifffccc___\\\ZZZ\\\___aaafffppp}}}}}}{{{zzzyyywwwsssooojjjfffggglllrrrwwwyyywwwtttrrrrrruuuyyy|||nnnhhhaaaaaaiiiuuuzzzvvvoooggg___YYYSSSMMMLLLOOOWWW```gggkkkmmmooonnnkkkjjjjjjkkkjjjjjjiiihhhgggiiijjjllllllllliiifffeeegggggggggggghhhhhhhhhhhhhhhhhhgggggghhhiiiiiijjjnnnnnnmmmllllllmmmoooooouuuvvvxxx{{{vvvkkkbbb\\\UUUMMMGGGDDDDDDDDDCCCCCCDDDGGGJJJSSS[[[gggttt}}}|||xxxuuurrrnnnlllnnnttt|||||||||tttssslllbbbZZZWWWRRRMMMLLLMMMLLLJJJGGGDDDCCCCCC>>>===>>>@@@DDDFFFFFFFFFDDDDDDCCCBBB@@@>>><<<;;;:::999999:::???EEEKKKOOOSSSRRRPPPNNNLLLJJJIIIHHHEEECCC@@@===:::999999::::::;;;======<<<;;;===>>>@@@@@@AAADDDGGGLLLPPPSSSYYYWWWUUURRRPPPMMMLLLLLLMMMMMMMMMOOOQQQQQQPPPNNNTTTWWW^^^gggrrr}}}~~~sssjjjcccaaa______^^^^^^\\\ZZZWWWPPPIIIGGGDDD@@@???AAAEEEJJJPPPVVV\\\eeeooovvv~~~tttiiiZZZOOOJJJBBB>>>@@@CCCIIIZZZkkkwww~~~}}}wwwnnncccZZZOOOGGGCCC@@@;;;666777666444333222333333444111111111111000000000000000000///...............------------------------...---...111222444<<>>999555333333555444333333222222333333///...------...///000111/////////000111222333444666666555444333333222222......///000111222222333333222111111111222333444///////////////000000000,,,,,,,,,,,,,,,,,,,,,,,,,,,---/////////000222444333666:::>>>@@@BBBDDDFFFJJJKKKLLLNNNSSSWWW\\\______```bbbeeegggiiijjjkkkkkkjjjjjjkkkoootttyyy}}}yyyPPPMMMHHHEEEEEEHHHLLLOOOZZZcccnnntttyyy|||xxxrrrlllfff```YYYUUUMMMHHHDDDDDDDDDGGGPPPYYYdddfffiiilllnnnpppppppppppppppppppppppppppppppppmmmlllkkkjjjkkknnnqqqssswwwyyy{{{}}}~~~xxxvvvttttttvvvzzz~~~}}}yyyvvvsssoookkkhhhiiiiiiiiikkknnnooonnnmmmgggccc```aaadddggghhhggg]]]RRRGGG@@@===:::===AAAAAAGGGKKKIIIFFFBBB<<<555222222222///+++***,,,...---,,,++++++++++++++++++******))))))))))))******++++++++++++************++++++***+++,,,---///000......//////000111111111555999;;;@@@OOOdddwww~~~yyyuuupppllliiieee```]]][[[\\\___dddkkkuuu~~~|||{{{{{{{{{{{{{{{xxxtttrrrrrruuuyyy|||zzzxxxtttssstttvvvwwwvvvkkkgggccceeemmmxxx~~~yyyrrrjjjaaaZZZSSSNNNMMMPPPWWW___gggjjjmmmpppooolllkkkkkkkkkjjjjjjiiihhhggghhhiiikkklllllljjjhhhfffgggggghhhhhhhhhiiiiiiiiiiiihhhhhhhhhiiijjjkkkkkkmmmmmmmmmmmmnnnppprrrssswwwxxxyyy|||uuummmbbbYYYSSSNNNGGGBBB@@@AAAAAA@@@@@@BBBEEEHHHQQQYYYfffuuu~~~{{{zzz|||~~~}}}wwwlllccc___ZZZTTTPPPPPPPPPNNNKKKHHHFFFEEEAAAAAAAAADDDGGGJJJJJJJJJGGGGGGEEEDDDAAA???===;;;;;;::::::<<>>???>>><<<<<<>>>???@@@AAADDDJJJQQQYYYaaaeeefffdddaaa^^^ZZZWWWUUUTTTVVVVVVWWWZZZ\\\\\\[[[YYYXXXZZZ```iiittt~~~|||tttmmmjjjhhhfffeeedddbbb___ZZZRRRKKKHHHEEEAAA@@@BBBEEEIIIPPPUUU[[[ccclllsss|||wwwlll^^^SSSJJJBBB>>>AAADDDJJJZZZlll~~~xxxiii___RRRIIIEEEAAA<<<888777666555333333333333444222111111111000000000000000000///............///------------------------///...///111111222999BBBOOOZZZdddhhhfffaaaXXXPPPGGGEEEBBB>>>;;;888666555555444333333222222333333222111000///...//////000222222333333444555777777666666555555444333333222111111111222222333333444222222111111111222333444000000000000000000000000........................,,,---...//////000222444444777<<>>BBBBBBHHHLLLKKKHHHEEE>>>777111111000...+++***+++---,,,,,,,,,+++,,,,,,------******))))))))))))******,,,,,,,,,++++++++++++******)))(((((()))+++---///......//////000111222222444888===EEEUUUlll~~~|||xxxsssrrrqqqooommmhhhbbb]]]\\\]]]aaahhhrrrzzz~~~zzzxxxzzz|||~~~}}}yyyvvvwwwyyyxxxsssnnnfffeeeeeeiiirrr}}}~~~wwwnnnccc\\\TTTOOOOOOSSSVVV___fffjjjmmmpppqqqnnnkkkkkkkkkjjjiiiiiihhhhhhggghhhjjjllllllkkkjjjiiihhhhhhiiiiiiiiijjjjjjjjjjjjjjjjjjjjjkkklllmmmnnnnnnnnnnnnoooqqqsssvvvwwwwwwxxxzzz}}}}}}uuujjjbbbWWWNNNIIIEEEAAA>>>===>>>???@@@@@@BBBEEEHHHNNNVVVeeewwwzzzqqqkkkccc\\\VVVVVVVVVUUURRROOOKKKIIIFFFFFFFFFIIILLLNNNOOONNNMMMLLLJJJGGGDDDAAA>>>=========>>>AAAEEEKKKQQQTTT^^^^^^]]][[[WWWSSSOOOLLLHHHGGGDDDAAA??????>>>>>>AAAAAA@@@???===>>>@@@BBBDDDFFFKKKSSS^^^iiitttzzzyyywwwsssooojjjfffcccbbbcccdddfffhhhjjjjjjgggddd^^^```dddkkkuuuxxxvvvrrrpppnnnllljjjhhhaaaXXXOOOKKKGGGCCCCCCEEEEEEJJJPPPUUUYYY```iiiooovvv}}}yyypppcccXXXKKKCCC???BBBEEEKKK[[[lllqqqfffWWWLLLFFFCCC>>>;;;888777666444333333444444222222222111111111000000111000//////......//////------..................000......000000000777@@@KKKWWWdddjjjjjjfff^^^UUUKKKGGGAAA>>>===<<<:::777555444444333333333333333555444222000///...//////000000000111222444555666666666666555444444333333222222222222222222222222222111111111111222333333222222111111000000//////........................+++,,,.........000222444666999>>>AAACCCEEEHHHIIIGGGJJJOOOUUUZZZ\\\^^^^^^aaabbbccceeefffggghhhhhhjjjiiijjjkkknnnsssxxx{{{UUUQQQLLLHHHGGGIIIMMMOOOWWWbbbnnnvvv~~~wwwnnnfff^^^VVVQQQGGGCCCAAACCCEEEIIISSS\\\dddeeehhhkkknnnoooppppppnnnooopppqqqrrrrrrqqqqqqiiihhhfffeeegggkkkooorrrvvvxxx{{{|||~~~yyywwwtttrrrsssvvvzzz|||~~~yyyssspppllliiifffdddeeehhhkkkoooooommmkkkccc___[[[[[[___ccceeeddd^^^TTTJJJEEEAAA===>>>AAACCCHHHKKKKKKJJJGGG@@@888222111///---+++++++++,,,+++++++++++++++,,,---...+++******))))))******+++,,,,,,+++++++++*********)))((('''&&&'''***---.........///000111222222333222888???JJJ]]]sss|||uuuqqqmmmoooqqqrrrpppjjjccc^^^\\\^^^ccclllvvv}}}~~~}}}yyyvvvssssssvvv{{{~~~}}}zzz{{{}}}yyyooofff```aaafffmmmvvv{{{qqqeee]]]VVVPPPQQQUUUWWW```gggjjjnnnqqqrrrpppllllllkkkjjjiiiiiiiiiiiifffhhhjjjlllmmmmmmlllllliiijjjjjjjjjjjjkkkkkkkkkkkkkkkkkklllmmmnnnpppqqqqqqqqqqqqrrrsssvvvxxxyyywwwxxx{{{~~~|||rrrjjj___YYYOOOGGGCCCAAA???>>>===???AAABBBBBBEEEHHHJJJLLLUUUdddwwwwwwlllbbb^^^]]]]]]\\\ZZZWWWRRROOOLLLKKKLLLNNNQQQSSSSSSRRRPPPOOOLLLHHHEEEBBB@@@>>>???@@@AAAEEEIIINNNSSSVVV[[[\\\\\\ZZZWWWSSSNNNKKKHHHGGGEEECCCAAA@@@@@@@@@AAAAAA@@@??????AAAEEEHHHLLLNNNTTT]]]iiiwwwzzzvvvrrrqqqpppqqqtttvvvwwwuuupppllleeefffiiiooowww~~~{{{xxxvvvuuurrrqqqkkkaaaVVVPPPKKKFFFEEEHHHGGGKKKQQQVVVZZZ___ggglllsss{{{zzzrrreeeZZZKKKDDD@@@CCCFFFLLL[[[lllyyylll[[[NNNHHHDDD@@@<<<:::999777555444444555555333333222222222111111111111000000///.../////////.............../////////...---...000000111888AAAIIIUUUcccjjjllliiibbbZZZQQQJJJBBB?????????;;;777555555444333333333333333444333111///.........///......///000111333444555666666666555555444444444111000000000/////////...111111111111111222222333333333222111000//////...,,,,,,,,,,,,,,,,,,,,,,,,+++,,,......///000333555777:::???BBBDDDFFFHHHJJJIIILLLPPPUUUZZZ^^^```aaacccdddeeefffggghhhhhhhhhiiiiiiiiikkknnnrrrwwwyyy}}}WWWSSSNNNIIIHHHIIILLLOOOXXXbbboooxxxxxxooofff\\\TTTNNNFFFBBBAAACCCFFFKKKTTT]]]ccceeehhhkkkmmmoooooopppnnnoooqqqssstttssssssrrrkkkiiifffeeegggjjjooorrruuuwwwzzz|||}}}zzzxxxtttrrrrrrtttwwwzzzxxxrrrnnnjjjgggeeedddeeegggkkkoooooommmkkkddd```[[[ZZZ\\\___``````^^^UUUKKKFFFBBB>>>===@@@CCCGGGJJJJJJKKKIIIAAA888333111///---,,,,,,++++++******)))******+++,,,---++++++************+++++++++*********)))))))))))),,,+++++++++,,,...000111......///000111222333333222999CCCPPPdddzzzwwwppplllhhhlllqqqsssqqqkkkddd```^^^```fffooowww{{{yyyuuuooommmlllmmmrrrwww{{{}}}~~~~~~}}}wwwkkkaaaZZZ^^^fffoooxxx}}}ssshhh___XXXRRRSSSXXX[[[ccciiilllnnnrrrsssqqqmmmlllkkkjjjiiiiiiiiiiiiggghhhjjjlllmmmnnnnnnnnnkkkkkkkkkkkklllllllllmmmkkkkkklllmmmoooppprrrsssttttttttttttuuuwwwyyyzzz{{{}}}~~~zzzrrrggg```UUUPPPIIIBBB???>>>>>>???===???BBBCCCDDDFFFIIIKKKMMMTTTcccvvvwwwkkkgggeeecccbbbaaa^^^YYYUUURRRQQQPPPRRRTTTUUUUUUTTTOOOMMMJJJFFFCCC@@@???>>>???@@@CCCFFFJJJNNNRRRTTTTTTUUUVVVUUUSSSOOOKKKHHHFFFEEEDDDCCCBBBAAA@@@@@@???@@@@@@@@@AAAEEEJJJNNNRRRVVV]]]hhhvvv~~~xxxrrrlllmmmooossszzz}}}{{{zzzyyywwwrrrggg\\\TTTNNNHHHGGGIIIIIINNNTTTXXX[[[```ggglllssszzz}}}xxxpppdddYYYLLLEEEAAADDDFFFKKKYYYjjj~~~qqq___QQQJJJEEEAAA===;;;:::888666555555555555333333333333222222222222111111000///////////////.........//////000000000---,,,---000111444<<>>:::666666555444444333333444444111000///...---...//////000111111222444555777888555555555555555444444444111111000000///.........000000111111222222222222333222222111000///......,,,,,,,,,,,,,,,,,,,,,,,,+++,,,...//////111444666777:::???BBBDDDFFFIIIJJJMMMNNNPPPTTTXXX]]]bbbdddeeeeeeggghhhhhhiiiiiiiiihhhhhhiiikkknnnrrruuuwwwyyyZZZVVVQQQKKKIIIJJJMMMOOOZZZeeeqqqzzzxxxoooeee[[[RRRLLLFFFBBBBBBEEEHHHLLLUUU^^^ccceeehhhkkkmmmnnnoooooonnnppprrruuuvvvvvvuuutttllljjjgggeeefffjjjnnnqqqsssuuuxxx{{{|||~~~zzzxxxtttqqqppprrrtttwww}}}zzzsssnnnjjjhhhfffddddddfffiiilllmmmllljjjfffaaa[[[YYYZZZ]]]]]]]]]^^^UUUMMMHHHDDD???===???CCCGGGJJJKKKLLLKKKCCC999555222///------------,,,******))))))******++++++++++++************++++++*********)))))))))((((((*********+++,,,---...///......///000222333444444555===HHHWWWlll|||ssslllhhhfffjjjoooqqqooojjjeeebbbaaaeeelllrrrvvvvvvqqqnnngggffffffiiinnnssswwwxxx~~~~~~zzzrrrfff]]]WWW]]]gggpppxxxuuukkkccc\\\WWWWWW[[[aaahhhmmmnnnppprrrssspppnnnmmmkkkjjjiiiiiijjjjjjhhhiiijjjlllmmmnnnoooooolllllllllmmmmmmmmmnnnnnnkkkkkklllnnnooorrrsssuuuvvvvvvuuuuuuvvvxxxzzz{{{zzztttnnnfff]]]VVVKKKHHHCCC???<<<<<<>>>???===@@@BBBDDDEEEFFFIIIKKKNNNUUUbbbuuuxxxooolllhhhgggfffddd```\\\XXXVVVUUUVVVWWWWWWVVVUUUMMMKKKHHHEEEBBB@@@@@@@@@AAACCCEEEIIILLLOOORRRSSSQQQQQQQQQQQQOOOLLLIIIGGGEEEDDDDDDCCCBBBBBBAAA@@@???@@@BBBDDDFFFJJJOOOSSSUUUZZZcccppp{{{tttuuuvvvyyy}}}zzzyyywwwvvvooofff[[[UUUOOOIIIGGGIIIKKKOOOVVVZZZ]]]aaaggglllrrrxxx|||yyytttlllaaaWWWMMMFFFBBBDDDFFFIIIWWWgggzzzvvvdddUUUMMMHHHCCC???===;;;999777666666666666444444444333333333222222222111000000//////000000......//////000000111111------...222444666???HHHIIIRRRZZZ]]]]]]^^^[[[VVVRRRMMMFFFBBB???===999666666555555444444444444444000///...------...//////.........000111333555666444444444444444444444444222222222111111000000000///000111111222222111111111111000000//////..............................,,,---///000111222555888888;;;@@@CCCEEEGGGIIIKKKPPPPPPQQQTTTXXX]]]bbbddddddeeefffggghhhiiiiiiiiihhhhhhiiikkknnnqqqtttvvvwww|||^^^ZZZTTTOOOLLLMMMOOOQQQ\\\gggsss{{{xxxnnndddZZZQQQKKKFFFCCCCCCFFFIIIMMMVVV___ccceeegggjjjmmmnnnoooooonnnpppsssvvvxxxxxxwwwvvvmmmkkkgggdddeeehhhlllpppqqqssswwwzzz|||~~~}}}zzzvvvrrrqqqrrrtttvvvzzz}}}uuupppmmmjjjiiidddcccdddfffhhhiiiiiiggggggaaa[[[XXXZZZ\\\]]]]]]```WWWOOOKKKFFFAAA>>>@@@EEEHHHJJJLLLOOONNNEEE;;;666333///...//////...,,,,,,,,,+++*********++++++,,,++++++******++++++,,,+++++++++*********))))))&&&''')))+++,,,,,,,,,+++---...///000222333444555:::BBBNNN^^^sssyyyqqqjjjgggeeejjjnnnooolllhhheeedddffflllrrrvvvuuuqqqlllhhhbbbbbbdddhhhmmmqqqsssssswww|||{{{tttjjjaaaZZZWWW___iiirrryyy~~~xxxooohhhbbb\\\\\\___ffflllqqqpppqqqrrrrrrpppnnnmmmkkkiiiiiiiiijjjkkkiiijjjkkklllmmmnnnooopppmmmmmmmmmnnnnnnnnnoooooojjjkkklllnnnppprrrtttuuuuuuuuuuuuvvvwwwzzz|||}}}zzzqqqiiibbb[[[SSSNNNEEEDDDAAA>>>======???AAA@@@BBBEEEGGGGGGHHHJJJLLLNNNUUUbbbttt{{{{{{yyyvvvqqqkkkiiiiiihhheeeaaa]]]\\\ZZZYYYZZZYYYWWWVVVOOONNNKKKHHHGGGFFFGGGGGGIIIKKKMMMQQQSSSUUUVVVWWWUUUUUUSSSQQQOOOLLLIIIHHHDDDDDDDDDDDDDDDCCCBBBBBBAAACCCFFFIIIKKKNNNRRRUUUWWW\\\fffrrr||||||~~~zzzuuuqqqnnnllljjjeee]]]UUUPPPLLLHHHFFFHHHJJJOOOVVV[[[^^^bbbhhhlllqqqvvvxxxuuupppjjj```WWWNNNGGGCCCDDDEEEHHHTTTccctttzzzhhhZZZRRRLLLFFFAAA>>><<<:::888777666666666444444444444333333333333222111000000//////000000......///000000111222222111000111555666888@@@IIIIIIOOOSSSQQQQQQRRRQQQNNNLLLJJJFFFCCC???<<<:::999666666555444444444444444333222000......---......******+++,,,...000222333333333333333333333333333111111111111111000000000...///000111222111111000/////////.......................................---...000111222444777999:::===AAAEEEGGGIIIKKKMMMOOOPPPSSSVVVYYY]]]___aaabbbcccdddfffggghhhhhhhhhggghhhiiikkknnnqqqsssuuuwww{{{bbb]]]WWWQQQOOOOOOQQQSSS^^^iiittt}}}wwwmmmcccYYYPPPJJJGGGDDDDDDGGGJJJNNNVVV___cccdddgggjjjmmmnnnoooooooooqqqtttwwwyyyyyyxxxwwwnnnkkkfffccccccfffkkknnnooorrrvvvzzz|||~~~}}}yyyuuutttuuuwwwxxxxxx~~~wwwrrrooommmkkkcccbbbaaaccceeeffffffeeefff```ZZZXXXYYY\\\^^^^^^aaaYYYQQQMMMHHHBBB@@@AAAGGGIIILLLMMMPPPPPPGGG===777444000///000000///,,,...------,,,++++++++++++,,,++++++******++++++,,,,,,,,,,,,+++++++++******(((***---///000///...------...///111222333555555>>>FFFRRRcccxxxxxxpppjjjffffffiiimmmmmmjjjfffeeeeeejjjpppwwwyyytttnnnhhhfff```aaaccchhhmmmpppqqqqqqrrrwwwyyyoooeee]]]XXXYYY```kkksssyyy~~~zzzrrrlllfff```___bbbjjjpppsssrrrqqqrrrrrroooooommmkkkiiiiiiiiijjjkkkjjjjjjkkklllmmmnnnooopppnnnnnnnnnnnnoooooooooooojjjkkklllmmmppprrruuuvvvsssssstttuuuxxx{{{~~~|||uuujjjaaaZZZTTTMMMHHHDDDDDDCCCAAA???@@@BBBCCCDDDFFFIIIKKKKKKLLLMMMOOONNNUUUbbbtttxxxuuuuuusss|||zzztttmmmjjjkkkjjjgggdddaaa___]]]\\\\\\[[[XXXVVVTTTSSSPPPOOONNNNNNOOOPPPRRRSSSVVVYYY[[[]]]]]]]]][[[ZZZWWWTTTPPPMMMKKKJJJEEEEEEEEEEEEEEEDDDCCCCCCEEEGGGJJJMMMNNNPPPSSSVVVXXX]]]fffqqq}}}{{{ssslllgggccc```]]]\\\TTTNNNLLLJJJFFFEEEGGGJJJOOOVVVZZZ^^^bbbgggllloootttvvvrrrmmmhhh```WWWOOOGGGCCCDDDDDDFFFRRRaaannn{{{|||kkk]]]UUUOOOHHHCCC>>>===;;;999777666666777555555444444444333333333222111111000000000000000...//////000111222222222444333444777777999@@@IIIIIIMMMNNNJJJHHHIIIJJJHHHFFFGGGFFFCCC???<<<;;;;;;666666555444444444444555666555222000...---------,,,,,,---...000222444555222222222222222222222222.........///////////////...///000222222111111000---------...............,,,,,,,,,,,,,,,,,,,,,,,,---///111222333555888:::;;;???CCCGGGIIIKKKMMMOOONNNPPPTTTXXX[[[]]]]]]^^^```aaabbbdddeeefffggggggggggggiiikkknnnpppssstttxxx{{{~~~aaa\\\WWWTTTPPPMMMQQQWWWfffmmmwww~~~uuujjj```VVVNNNIIIAAAAAABBBEEEKKKSSSZZZ___ggghhhiiikkklllmmmnnnnnnppprrrvvvzzz{{{{{{zzzxxxpppmmmgggdddccceeeiiikkkqqqtttxxx{{{}}}~~~yyyuuutttuuuwwwwwwyyy~~~xxxsssooojjjfffaaa```___aaaccceeeeeeeeeeeecccaaa^^^^^^^^^```aaabbb```[[[SSSKKKEEECCCCCCEEEGGGLLLPPPQQQMMMEEE@@@777444000...---------,,,------,,,,,,+++***))))))******+++++++++,,,,,,,,,******************************+++,,,------------000//////000333555666666>>>FFFWWWmmm~~~sssjjjdddbbbbbbcccgggkkkhhhddddddhhhnnnrrryyy|||zzzsssjjjeee```bbbdddfffhhhiiiiiiiiinnnttt|||vvviii]]]WWWXXXYYYfffsssyyy}}}yyyrrrlllhhhfffeeeooopppqqqrrrssssssssssssooonnnmmmkkkjjjiiihhhhhhiiijjjkkklllmmmmmmmmmmmmnnnooopppppppppnnnmmmlllmmmnnnnnnoooppprrrtttuuuwwwwwwxxxyyy{{{|||}}}~~~{{{pppfff\\\WWWRRRLLLHHHHHHEEEEEEEEECCCCCCEEEIIILLLMMMPPPRRRTTTSSSSSSTTTVVVYYY]]]ggguuuxxxrrrnnnlllttttttyyyxxxppplllmmmnnnmmmkkkgggfffeeedddbbbaaaaaa```ZZZ[[[[[[\\\\\\[[[ZZZYYYZZZ\\\___bbbdddfffffffffaaa```^^^[[[WWWSSSOOOLLLKKKIIIFFFDDDBBBBBBCCCCCCFFFHHHKKKOOORRRTTTUUUVVV]]]bbbiiirrryyy~~~}}}{{{{{{|||yyyqqqggg___[[[XXXUUURRRKKKJJJHHHEEECCCDDDGGGJJJNNNSSSYYY]]]___bbbfffjjjppprrrsssqqqjjjaaaWWWPPPHHHDDDAAAAAABBBDDDLLLUUUhhhsss~~~zzzooocccXXXPPPIIIEEEAAA>>>:::888777777666555777777777777666444333222222222111000000111222333///000111333444555666666555444444555888;;;>>>@@@FFFFFFGGGHHHHHHGGGFFFEEEGGGEEEBBBAAA@@@>>><<<999777777777777666666666666444333111///......////////////............//////...//////000000000000000111000...,,,,,,...000111222222111222333444666777---------,,,,,,,,,++++++///......---------............000222555888:::;;;AAABBBDDDGGGJJJMMMPPPQQQRRRSSSUUUWWWYYY[[[\\\]]]___aaabbbccccccdddfffhhhhhhiiikkkllllllnnnqqqsssuuuxxx}}}ddd___ZZZWWWSSSQQQUUU\\\fffmmmvvv|||sssiii___UUUMMMHHHBBBBBBCCCFFFLLLSSS[[[___fffgggiiikkklllnnnnnnnnnqqqtttxxx{{{}}}|||{{{zzzpppmmmhhhdddccceeeiiikkkqqqtttxxxzzz|||}}}zzzuuuuuuvvvwwwwwwwww{{{zzztttpppkkkgggbbb```___```ccceeeeeeeeefffdddbbbaaaaaabbbeeefffgggeee___VVVMMMGGGDDDCCCFFFIIINNNRRRSSSPPPIIIDDD999555111......------,,,------,,,,,,+++******)))*********+++++++++,,,,,,******************************+++,,,------------000//////000333555666777???HHHZZZqqq}}}rrriiiccc``````aaaeeehhhfffaaacccgggmmmrrryyy|||yyyqqqhhhcccaaabbbdddfffggggggggggggkkkqqqzzz|||sssfffZZZUUUWWW\\\iiivvv|||zzzuuupppmmmlllkkkrrrrrrssssssssssssrrrrrrooonnnlllkkkiiihhhhhhhhhhhhhhhiiiiiijjjkkkkkkkkklllmmmmmmnnnmmmlllkkkjjjnnnnnnnnnooopppqqqsssttttttuuuvvvxxx{{{|||}}}~~~{{{tttggg]]]TTTPPPMMMIIIGGGIIIJJJKKKLLLLLLMMMOOOSSSVVVYYY\\\___aaaaaaaaaaaaaaadddgggnnnyyy|||vvvrrrpppqqqpppttt}}}{{{sssnnnooopppooonnnppppppppppppooonnnlllkkkiiiiiiiiigggeeebbb___]]]]]]___bbbeeehhhjjjlllmmmhhhgggeeeaaa\\\WWWRRROOOJJJHHHFFFDDDBBBBBBCCCDDDFFFIIILLLPPPTTTWWWXXXXXX\\\```ffflllqqqtttuuuvvvvvvvvvtttqqqnnnlllmmmnnnuuu|||}}}qqqiii^^^VVVQQQOOOLLLJJJIIIHHHFFFCCCAAABBBEEEHHHNNNSSS[[[```cccfffkkkooossstttuuurrrkkkaaaWWWQQQHHHCCC@@@AAABBBEEEMMMVVVcccnnnwww{{{}}}yyyooodddZZZRRRJJJFFFAAA>>>:::777777777666555666666666777666666555555333222111000000111222333222333444555555555555555666666666777999<<>><<<:::999888888888777777777777444333222111000///////////////............//////...//////000000000000000111000////////////000111222111///---,,,,,,,,,,,,---------,,,,,,,,,++++++......------------.........///000222555888;;;===BBBCCCEEEHHHKKKNNNPPPQQQRRRSSSTTTVVVWWWYYY[[[[[[^^^```bbbccccccccceeegggfffhhhiiijjjkkkllloooqqquuuxxx}}}eee```[[[XXXVVVUUUYYY```fffmmmvvv~~~yyypppfff]]]TTTLLLGGGBBBBBBCCCFFFLLLTTT[[[```fffgggiiikkkmmmnnnoooooorrruuuyyy|||~~~~~~|||{{{qqqnnniiieeedddfffiiikkkpppssswwwyyyzzz|||~~~zzzuuutttuuuvvvvvvtttxxx~~~|||vvvqqqmmmiiicccaaa``````bbbeeeffffffgggfffdddcccdddfffiiikkkllliiicccYYYOOOHHHDDDCCCEEEHHHLLLQQQSSSQQQLLLHHH<<<888333000......---,,,---,,,,,,++++++******************++++++++++++,,,***************************+++,,,------......---//////000111333555777999AAALLL___vvv{{{pppgggaaa^^^^^^^^^aaacccaaa^^^aaafffmmmssszzz}}}yyypppgggaaaaaabbbcccdddeeeeeeeeeeeehhhnnnxxxwwwmmmaaaVVVTTTVVVaaannnzzz|||xxxuuusssrrrrrruuuuuuuuuttttttrrrqqqqqqppppppnnnlllkkkjjjjjjjjjiiihhhhhhhhhhhhjjjkkklllllllllmmmmmmllllllkkkjjjnnnnnnnnnnnnoooppprrrrrrsssuuuwwwzzz|||~~~{{{qqqjjj\\\TTTMMMKKKJJJIIILLLPPPQQQSSSVVVYYY[[[^^^bbbeeekkkoootttwwwwwwvvvttttttuuuvvvyyy|||xxxuuupppoooqqqyyyvvvrrrrrrttttttttt{{{|||~~~}}}{{{yyyyyyxxxwwwtttpppkkkfffccc\\\]]]___bbbeeeiiikkkmmmnnnmmmkkkgggaaa[[[UUURRRKKKJJJGGGFFFEEEEEEFFFGGGHHHKKKOOOTTTXXXZZZ\\\\\\]]]___bbbeeeggggggffffffeeedddbbb^^^ZZZYYY[[[]]]bbbiiittt~~~{{{tttiii```UUULLLHHHFFFDDDBBBFFFEEECCC@@@???@@@DDDGGGNNNTTT]]]cccggglllqqquuuwwwxxxwwwtttlllaaaWWWPPPGGGBBB???@@@BBBFFFOOOXXXaaajjjqqqtttuuuyyy{{{zzz|||wwwnnneee]]]TTTLLLGGGAAA>>>:::777777666555555444555666666777777777666333222111000000111222333666777777888777777666666999888888999;;;>>>AAACCCDDDEEEFFFGGGGGGFFFEEEDDDEEECCC???>>>>>>>>>===<<<:::999999999888888888888444444444333222111//////......------------.........///000000111111000000111111111111111111111111555444222///...,,,,,,,,,------------,,,,,,,,,,,,------,,,,,,,,,------...//////000222555:::>>>@@@EEEFFFGGGJJJLLLOOOPPPQQQQQQRRRSSSUUUVVVXXXYYYYYY]]]___aaaaaaaaabbbdddfffeeefffhhhhhhiiijjjmmmoootttwww|||ccc]]]YYYWWWUUUTTTZZZaaahhhooowww{{{vvvmmmccc[[[RRRJJJEEECCCCCCDDDGGGMMMTTT\\\```eeefffhhhkkkmmmnnnooopppsssuuuyyy}}}~~~~~~|||{{{rrroookkkgggfffgggiiikkkppprrruuuwwwxxxzzz|||~~~yyytttrrrsssttttttsssvvv|||~~~xxxtttooolllfffccc``````bbbeeeggghhhiiihhhfffddddddfffhhhjjjkkkhhhbbbZZZPPPHHHDDDBBBBBBDDDHHHLLLPPPPPPMMMJJJ@@@;;;555111///...---,,,,,,,,,,,,++++++*********************++++++++++++***************************+++,,,---............///000000111222555999;;;CCCPPPeee|||zzzooogggaaa^^^]]]\\\]]]^^^\\\[[[```gggooovvv}}}yyyooofffaaacccccccccdddddddddddddddgggmmmwww}}}rrrggg\\\TTTTTTXXXfffrrr~~~|||yyywwwvvvuuuuuuuuuuuuuuuuuutttsssrrrqqqsssrrrpppnnnmmmlllllllllkkkjjjiiihhhiiikkkmmmnnnmmmmmmmmmnnnmmmmmmmmmmmmnnnnnnnnnnnnooopppqqqrrrwwwyyy{{{~~~~~~|||{{{zzzzzzxxxrrrhhhaaaUUUOOOJJJKKKMMMPPPWWW]]]\\\___dddhhhlllppptttwww}}}zzzuuussssssxxxyyyuuuvvvyyy{{{|||}}}yyytttnnniiifff[[[[[[\\\]]]___cccfffgggjjjjjjhhheeeaaa[[[VVVSSSMMMLLLJJJIIIIIIIIIKKKLLLLLLOOOTTTYYY\\\______```____________]]][[[YYYXXXXXXWWWSSSOOOLLLLLLNNNQQQSSSZZZdddpppzzz~~~}}}}}}}}}}}}~~~}}}}}}{{{tttmmmcccZZZOOOGGGDDDDDDCCCBBBCCCCCCAAA???>>>???CCCFFFOOOVVV___ggglllqqqvvvzzz}}}|||zzzuuulllaaaVVVOOOEEEAAA>>>@@@BBBGGGQQQ[[[cccjjjppppppqqqtttvvvtttvvvrrrllleee]]]UUUMMMHHHBBB???;;;888777666555444555666666777777777666666333222111111111222333444999999:::;;;;;;;;;::::::;;;::::::;;;===@@@CCCEEEIIIJJJKKKKKKKKKJJJIIIHHHEEEBBB???===>>>>>>>>>===::::::999999999888888888444555555555444222000///......------------......//////000111111111111000000000111222222111000000333222222222222222222222...------------,,,,,,,,,---,,,,,,,,,,,,------...000000111333777<<>>EEEUUUlllyyyqqqjjjeeebbb]]][[[ZZZ[[[YYYZZZ```iiittt{{{zzzppphhhddddddddddddddddddddddddeeeiiinnnwwwxxxkkkaaaWWWSSSVVV]]]kkkwww~~~~~~}}}|||zzzwwwvvvuuuttttttsssttttttttttttttttttsssqqqpppooommmlllkkkkkkjjjjjjiiihhhggghhhjjjlllnnnmmmllllllllllllmmmmmmmmmnnnnnnnnnnnnoooppprrrrrrzzz{{{~~~~~~{{{yyyvvvtttqqqpppmmmggg___XXXQQQMMMKKKOOOSSSYYYccclllpppsssxxx}}}~~~{{{yyyxxxzzz}}}yyyxxxzzz}}}}}}zzztttnnngggbbb___[[[ZZZZZZZZZ[[[\\\^^^`````````aaaaaa^^^ZZZVVVTTTOOONNNLLLKKKLLLMMMOOOPPPRRRUUUYYY^^^aaabbbbbbbbbaaa___]]]ZZZVVVSSSPPPOOOMMMLLLIIIFFFCCCCCCFFFIIILLLQQQ[[[eeeooovvv{{{}}}zzzzzzzzzyyyyyyyyyzzzzzzwwwzzz{{{yyyxxxuuunnnfff]]]UUUKKKEEEDDDDDDDDDCCCAAAAAA@@@>>>===???CCCFFFQQQXXXccckkkqqqvvv{{{~~~xxxmmmaaaVVVOOODDD@@@>>>@@@CCCIIIUUU___hhhmmmooonnnoooqqqrrrpppooolllgggbbb\\\UUUNNNIIIDDD@@@<<<999888777666555888888888888777666555444333222222222333444666777:::;;;<<<>>>??????@@@@@@<<<<<<<<<===@@@CCCFFFHHHNNNNNNOOOOOONNNMMMKKKJJJFFFCCCAAA??????@@@???>>>:::::::::999999999888888666666777777666444222000.........------.........///000000111111111111111///000000111111000000///------...//////000000000.........---------,,,,,,,,,,,,,,,,,,------...///111222333666;;;@@@EEEGGGIIIJJJKKKLLLNNNOOOPPPPPPRRRSSSTTTVVVWWWYYYZZZZZZ\\\^^^___``````aaaccceeefffgggiiiiiiiiijjjlllnnnqqqtttyyy```ZZZUUURRRQQQRRRXXXaaagggnnnwwwuuuppphhh```XXXPPPIIIEEEAAAAAABBBEEEKKKSSSZZZ___cccdddgggjjjmmmoooqqqrrrrrruuuyyy|||~~~~~~|||{{{tttqqqnnnjjjhhhiiijjjkkknnnppprrrssstttuuuyyy{{{~~~}}}uuupppnnnmmmnnnnnnrrrtttxxx}}}zzzwwwuuummmiiidddbbbdddhhhkkkmmmpppmmmiiifffcccccccccdddeeeccc^^^WWWMMMEEE@@@>>>???@@@CCCHHHNNNRRRTTTTTTHHHBBB:::444111///...---++++++++++++++++++++++++)))))))))************+++************************+++,,,---......//////......000222222222666<<>>???AAADDDHHHLLLSSS\\\eeemmmrrruuuuuuuuuuuuuuuuuuuuuuuuuuuqqqtttuuusssrrrpppiiibbbXXXQQQIIIDDDCCCCCCCCCAAA??????>>><<<<<<>>>BBBFFFRRRZZZfffpppwww}}}|||pppcccWWWPPPFFFBBB@@@BBBGGGNNNZZZeeellloooooommmlllooonnnkkkjjjhhhddd```[[[VVVPPPKKKFFFBBB>>>;;;999999777666999999999888777666444444333333333333555777999;;;<<<===???AAABBBCCCCCCDDD?????????AAADDDHHHLLLNNNRRRRRRRRRRRRPPPNNNKKKJJJHHHFFFDDDCCCCCCBBB@@@>>>;;;;;;;;;;;;::::::::::::888888888777666555333333//////............/////////000111111222222111111000000000000000000000000/////////000//////...---............---------,,,------------......///000222333666;;;@@@DDDHHHJJJKKKKKKLLLLLLMMMNNNOOOOOOQQQRRRTTTUUUXXXZZZ[[[\\\\\\^^^`````````aaaccceeeggghhhjjjjjjiiijjjmmmoooqqqsssxxx}}}\\\VVVQQQNNNLLLMMMTTT\\\aaaiiisss{{{~~~}}}sssnnnggg___WWWPPPIIIEEE@@@@@@AAADDDJJJRRRYYY^^^bbbdddgggjjjmmmppprrrrrrtttvvvzzz~~~}}}|||tttrrroookkkjjjjjjkkkkkknnnoooqqqqqqrrrtttwwwzzz|||}}}vvvpppmmmmmmmmmmmmqqqsssvvv|||}}}{{{yyypppkkkfffccceeeiiimmmooosssqqqmmmiiifffeeeeeefffgggfffaaaXXXNNNEEE???===<<<===@@@EEELLLRRRUUUVVVKKKEEE<<<555111///...---++++++++++++++++++++++++))))))))))))************************************+++,,,---...////////////...000333222222666===CCCPPPccc|||{{{xxxvvvrrrnnnaaa]]]ZZZYYYYYY\\\fffppp~~~yyyooojjjjjjhhhgggggggggggghhhjjjjjjooorrrwww{{{~~~~~~tttiii\\\SSSOOOQQQ\\\ggguuuzzzwwwtttpppppppppqqqqqqrrrsssssssssssstttssssssrrrqqqpppnnnmmmllljjjiiihhhhhhgggeeeeeeffffffggghhhhhhiiijjjiiihhhhhhhhhjjjkkklllmmmmmmnnnppprrrtttvvvwww{{{~~~{{{xxxmmmiiiccc___]]][[[VVVRRROOOOOOTTT\\\cccjjjvvv~~~~~~~~~}}}yyyzzz{{{||||||}}}zzzuuurrrmmmiiiddd^^^ZZZXXXWWWWWWXXXYYYZZZZZZ[[[[[[ZZZZZZ\\\___cccfffgggfffcccaaaYYYXXXXXXXXXYYY[[[^^^______bbbeeehhhhhhfffcccaaaYYYWWWSSSNNNJJJHHHFFFFFF???@@@@@@???>>>>>>AAACCCEEEHHHMMMTTT\\\dddjjjnnnppppppqqqqqqqqqqqqqqqqqqooorrrrrrppppppoooiiibbbWWWRRRJJJFFFDDDCCC@@@===<<<<<<;;;:::999<<<@@@DDDRRR[[[hhhuuu~~~tttfffZZZSSSJJJEEEDDDGGGLLLTTTaaammmqqqsssqqqmmmmmmooonnnjjjiiifffbbb___[[[WWWRRROOOHHHDDD???<<<;;;:::999777888888888888888777666555222222333555777:::===???@@@AAABBBCCCDDDEEEEEEEEEBBBBBBCCCFFFJJJNNNSSSUUUXXXXXXXXXVVVTTTQQQNNNLLLJJJIIIHHHHHHGGGEEEAAA>>>>>>>>>>>>=========<<<<<<:::999888777666555555555000000////////////000000000000111222222222222111222111000000000000111222333333333333222111///...............------------............///000111111222444999???DDDHHHKKKMMMKKKKKKLLLLLLMMMMMMNNNNNNOOOPPPRRRTTTWWWYYY[[[\\\]]]^^^```aaaaaabbbdddfffggghhhjjjjjjiiijjjlllnnnppprrrvvv|||XXXRRRLLLIIIGGGHHHOOOWWW\\\dddoooxxx|||}}}|||{{{sssnnnfff^^^WWWPPPJJJFFF@@@@@@AAADDDJJJQQQYYY]]]bbbdddgggjjjmmmppprrrsssuuuxxx{{{~~~uuusssooollljjjjjjkkklllnnnoooppppppqqqssswwwyyy{{{~~~vvvqqqnnnmmmmmmmmmoooqqquuuzzz}}}{{{rrrmmmgggdddfffjjjnnnqqquuusssoookkkiiihhhiiiiiikkkiiiddd[[[OOOEEE???<<<999999<<>>DDDUUUhhh{{{{{{zzzvvvrrrccc___[[[ZZZYYY]]]hhhssswwwnnnkkkkkkiiihhhhhhhhhhhhjjjlllmmmqqqsssvvvyyy{{{|||||||||ooodddWWWOOOLLLPPP\\\iiixxx}}}xxxtttqqqkkklllmmmoooqqqssstttuuuuuuuuutttsssrrrpppooonnnqqqpppooommmkkkkkkjjjjjjfffggghhhiiijjjjjjjjjiiikkkkkkjjjjjjjjjkkkmmmnnnmmmmmmnnnpppsssuuuxxxyyy~~~}}}oooiiiccc___]]]\\\YYYVVVRRRTTTYYYbbbjjjqqq}}}~~~}}}|||xxxzzz|||}}}|||{{{||||||}}}}}}|||yyyuuupppkkkhhhaaa^^^ZZZWWWVVVXXX[[[]]]bbbccceeeggghhhhhhgggfffbbbeeeiiimmmnnnmmmkkkiiiaaa`````````aaadddggghhhccceeehhhjjjiiifffccc```UUURRRNNNJJJFFFDDDDDDDDD>>>???@@@@@@@@@AAACCCEEEBBBDDDHHHOOOVVV^^^eeeiiilllmmmnnnnnnooonnnnnnnnnpppssssssqqqqqqpppkkkeeeZZZTTTMMMHHHFFFCCC???;;;::::::999888888:::???CCCQQQ[[[jjjxxxwwwiii]]]UUUMMMIIIGGGJJJOOOXXXeeeqqqvvvwwwtttpppoooqqqpppllliiifffbbb^^^\\\XXXUUURRRIIIEEEAAA===<<<;;;999888666666777888888888888888222222444666999<<>>@@@@@@@@@@@@?????????>>>;;;:::888666555555666666111111000000000000111111000000111222222222222111444333111000000111333444111111222333222111000/////////.........---------.........//////111222222222555;;;AAAGGGKKKMMMNNNLLLLLLLLLLLLLLLMMMMMMMMMMMMNNNPPPSSSVVVYYY[[[\\\]]]___aaaaaabbbbbbdddfffggghhhiiiiiihhhiiikkkmmmppprrrvvv{{{TTTNNNIIIHHHGGGFFFJJJPPPYYY^^^gggooouuuxxxxxxwwwppplllcccYYYOOOGGGBBB@@@;;;<<<>>>AAAFFFMMMUUU[[[bbbdddhhhkkkmmmpppsssvvvyyy{{{}}}wwwtttpppllljjjhhhfffeeejjjllloooqqqrrrtttwwwyyy}}}zzzsssppppppooooooqqqqqqvvv}}}|||{{{zzzvvvrrrmmmiiijjjnnntttxxxvvvtttqqqnnnlllkkkkkklllooojjjaaaXXXPPPHHHAAA<<<:::;;;===@@@FFFLLLRRRVVVSSSMMMCCC999111......///+++++++++*********))))))******))))))))))))************+++++++++,,,,,,,,,,,,,,,------.../////////222000000333555777>>>FFFWWWqqq}}}yyytttooofff___[[[]]]```dddnnnzzz|||uuunnnjjjhhhjjjjjjjjjhhhfffhhhmmmqqqyyyyyyyyyzzz{{{zzzxxxvvvlll\\\OOOLLLLLLNNN[[[lll}}}}}}|||{{{zzzyyyuuuppplllhhhiiijjjlllnnnqqqsssuuurrrrrrqqqqqqpppooonnnnnnpppooonnnllljjjhhhgggfffgggggghhhhhhiiiiiijjjjjjiiihhhggggggiiikkknnnpppnnnoooppppppqqqtttxxx||||||tttjjjccc___\\\YYYVVV\\\]]]aaaffflllrrrwwwzzz~~~~~~}}}}}}~~~~~~}}}yyyxxxyyyzzz{{{zzzxxxuuuvvvsssooolllkkkiiidddaaa\\\]]][[[YYYXXX\\\cccjjjsssyyy}}}{{{zzzzzzxxxuuuyyyyyyyyyzzz{{{zzzvvvtttqqqpppnnnnnnooonnnmmmkkkmmmmmmmmmllliiiddd\\\WWWRRROOOKKKGGGDDDBBBBBBBBBAAABBBCCCDDDDDDCCCBBBBBBEEEGGGKKKPPPVVV[[[___aaaeeegggkkklllmmmnnnpppqqqnnnqqqsssrrrttttttpppjjj```WWWOOOKKKGGG@@@;;;:::888777888:::::::::@@@IIIPPP___qqq}}}qqqdddYYYRRRMMMIIIKKKTTTbbbooowww{{{{{{yyyuuupppllljjjjjjgggeeebbb```^^^[[[WWWTTTOOOJJJDDD???<<<:::999777555666888777666555555666666555555999@@@EEEFFFFFFJJJJJJJJJJJJIIIGGGFFFEEEEEEFFFIIINNNTTTZZZ___bbbggghhhhhheee___ZZZWWWUUUVVVUUURRROOOKKKHHHEEEDDDCCCBBBBBBBBBCCCBBB???<<<:::;;;<<<===<<<:::888666333222111000////////////333444555555555444333222222222222333333444444444222222111111000/////////......------------............///......///222444666:::???DDDGGGJJJMMMPPPLLLKKKIIIHHHGGGGGGHHHHHHJJJNNNRRRUUUVVVXXXZZZ[[[[[[]]]___`````````bbbddddddfffiiikkkkkklllmmmooonnnqqqtttxxx|||PPPJJJDDDCCCBBBAAADDDJJJQQQVVV___hhhoooqqqqqqpppjjjfff^^^TTTKKKDDD???===:::;;;===@@@DDDLLLTTTZZZbbbdddhhhkkkmmmpppsssvvvyyy{{{~~~~~~wwwuuuqqqmmmjjjhhhfffdddiiikkknnnpppqqqsssvvvxxx{{{zzztttqqqqqqppppppqqqqqquuu|||~~~|||{{{vvvsssnnnjjjjjjnnntttwwwxxxvvvsssooommmmmmmmmnnnooojjjaaaYYYQQQHHHAAA<<<999999:::===BBBIIIOOOSSSSSSMMMCCC999222......///,,,,,,,,,,,,+++++++++************))))))***************+++++++++,,,,,,,,,,,,,,,---......//////000333111111555666999@@@III^^^vvv~~~zzztttppphhhbbb___```cccgggqqq{{{}}}wwwqqqllliiigggfffggggggffffffiiipppuuu{{{zzzyyyzzzzzzxxxuuussseeeVVVJJJIIIIIILLLYYYiii||||||{{{{{{zzzyyytttooojjjiiiiiijjjkkknnnppprrrsssrrrrrrqqqqqqpppoooooonnnpppooonnnlllkkkiiihhhggggggggghhhhhhiiijjjjjjjjjiiihhhgggggghhhjjjlllnnnnnnooopppqqqrrrtttyyy|||tttkkkfffbbb]]]ZZZZZZ\\\```eeejjjnnnqqqrrrttttttsssrrrqqqrrruuuxxxyyy}}}|||{{{{{{||||||yyyuuurrrppplllhhhffffffeeebbb``````aaaaaa``````eeemmmttt{{{yyywwwvvvvvvuuurrrppppppnnnllliiiddd^^^WWWRRRNNNMMMKKKIIIGGGGGGFFFFFFDDDDDDEEEEEEEEEDDDCCCBBBDDDFFFIIINNNSSSXXX[[[]]]```ccceeeggghhhiiilllnnnooosssvvvwwwxxxxxxssslll```WWWNNNJJJFFF@@@;;;999777666666888888888???GGGNNN^^^ssswwwiii^^^UUUQQQNNNPPPYYYfffssszzz||||||zzzvvvpppllljjjjjjdddbbb```^^^]]][[[WWWUUUOOOKKKFFFAAA???===:::999666777888888666555666666666555666;;;AAAEEEGGGGGGIIIIIIHHHGGGFFFFFFEEEEEEGGGIIILLLQQQVVV]]]bbbeeejjjkkkkkkiiieeeaaa^^^]]]YYYYYYWWWTTTPPPLLLIIIGGGDDDCCCCCCCCCDDDDDDAAA???======>>>===<<<:::999777444444333222111111111222333444555555555444333333222222222222222333333333222222222111000000//////......------------......---...//////...///222444666:::???DDDGGGIIILLLOOOMMMLLLJJJHHHGGGFFFFFFGGGJJJMMMQQQTTTUUUWWWYYY[[[\\\^^^`````````aaacccddddddfffiiikkkkkklllmmmooooooqqqtttxxx|||LLLFFFAAA???>>><<>>BBBIIIRRRWWWaaadddhhhkkknnnqqqtttvvvyyy{{{~~~}}}|||wwwuuurrrnnnjjjfffdddcccgggiiimmmoooqqqrrruuuwwwxxx|||zzzuuusssrrrrrrrrrqqqqqquuu{{{~~~}}}xxxtttoookkkkkknnnsssvvvzzzwwwssspppnnnmmmnnnooommmiiiaaaYYYQQQIIIAAA<<<999999999;;;@@@GGGNNNRRRSSSMMMCCC:::222///......---------,,,,,,,,,++++++++++++************++++++******+++++++++,,,,,,,,,,,,------......///000000333222333666888;;;DDDNNNfff}}}|||vvvqqqkkkgggdddfffiiimmmuuu|||}}}{{{vvvqqqmmmkkkiiiiiiffffffeeeeeehhhmmmtttzzz|||{{{zzzxxxwwwtttoookkk]]]PPPGGGFFFHHHMMMZZZhhhyyyzzzzzzzzzzzzyyytttnnniiijjjjjjjjjkkklllnnnpppppprrrrrrqqqqqqpppoooooooooppppppooommmkkkjjjiiihhhggghhhhhhiiijjjjjjkkkkkkiiiiiihhhggghhhiiijjjkkknnnooopppqqqrrruuuyyy}}}xxxpppjjjddd```\\\]]]aaadddhhhjjjkkkkkkllllllkkkiiiggghhhjjjmmmooorrrxxx~~~|||xxxrrrnnniiifffccccccdddeeefffeeegggiiilllmmmooottt||||||xxxuuuqqqnnniiiddd___ZZZUUUQQQJJJKKKLLLMMMNNNMMMMMMLLLJJJJJJJJJJJJIIIGGGFFFEEEFFFHHHJJJNNNQQQUUUXXXYYY\\\^^^```bbbccceeehhhkkkooouuuzzz}}}~~~}}}vvvnnn```VVVMMMIIIEEE>>>999888555444555777666777===EEEMMM___wwwqqqdddZZZWWWUUUXXXaaalllwww}}}~~~}}}{{{wwwqqqmmmkkkjjjcccaaa___^^^^^^\\\YYYWWWNNNLLLHHHEEECCC@@@===:::777888999888777666666777888888;;;???EEEIIIKKKKKKJJJIIIHHHGGGFFFFFFGGGHHHJJJLLLOOOTTTYYY___eeehhhkkkmmmmmmkkkhhhdddbbbbbb\\\\\\\\\ZZZVVVQQQLLLIIIEEEDDDDDDEEEFFFFFFDDDBBBAAA@@@???>>><<<;;;999999555555444444333444444444333444444555555555444444333333333222222222222222333333222111111000000///......------------......---...//////...000333555888;;;@@@DDDFFFHHHKKKMMMMMMLLLJJJGGGFFFEEEEEEEEEHHHKKKOOORRRTTTVVVXXXZZZ^^^___aaaaaaaaaaaabbbddddddfffiiikkkkkklllmmmooooooqqqtttxxx|||KKKEEE@@@???===<<<>>>BBBFFFKKKSSSZZZ^^^^^^\\\ZZZWWWTTTMMMFFF@@@;;;888666777888999<<<@@@GGGOOOUUU___bbbgggkkknnnqqqtttvvvyyy{{{~~~~~~{{{xxxvvvuuusssnnniiieeecccbbbeeehhhllloooppprrrtttvvvvvvzzz{{{wwwuuuuuuttttttrrrrrruuuzzz~~~}}}yyyvvvpppmmmlllnnnrrruuuyyywwwsssooolllllllllmmmjjjfff```YYYRRRJJJAAA<<<<<<;;;:::<<>><<<::::::999666666555555555555666666444444444555555555555555555555444444333333222222333333333222111111000000......------------......---.../////////000333666:::===AAADDDFFFHHHJJJLLLJJJIIIGGGFFFEEEEEEEEEEEEFFFIIIMMMOOOQQQTTTWWWYYY]]]^^^``````___```aaacccdddfffiiikkkkkklllmmmooooooqqquuuxxx|||JJJEEEAAA@@@???===???CCCFFFIIINNNRRRTTTSSSPPPMMMOOOLLLGGGAAA<<<888666555555666888:::>>>EEEMMMSSS\\\```fffkkknnnqqqtttvvvxxxzzz|||}}}|||zzzwwwuuuttttttrrrnnnhhhcccaaaaaadddgggllloooqqqrrrtttvvvwww{{{~~~zzzxxxwwwvvvvvvtttsssvvvzzz}}}~~~|||{{{wwwrrrnnnmmmnnnrrrtttwwwuuuqqqmmmjjjhhhgggfffcccaaa]]]XXXRRRKKKCCC===<<<;;;;;;===AAAGGGMMMQQQRRRMMMDDD;;;444000......++++++++++++************,,,++++++++++++++++++,,,******+++++++++,,,,,,,,,------......///000000111111111333555777===JJJXXXsss~~~yyypppooooooqqqvvv}}}}}}yyytttqqqrrrtttuuuuuummmkkkiiiiiilllqqqvvvzzzzzzxxxuuurrrnnnggg```ZZZMMMHHHEEEGGGMMMVVVbbblllxxx{{{xxxxxxyyyzzzyyyvvvpppllllllkkkkkkkkkkkklllmmmmmmqqqqqqqqqpppppppppppppppppppppooommmlllkkkjjjjjjhhhhhhiiijjjkkklllmmmmmmmmmmmmllllllkkkkkkkkklllnnnooopppqqqsssvvv{{{~~~}}}tttooofffccc___\\\]]]aaafffiiirrrsssrrroookkkiiihhhhhhmmmooottt{{{|||xxxrrrlllgggccceeegggkkkqqqxxxzzzuuukkkggg```[[[XXXWWWWWWVVVTTTWWW[[[^^^___^^^[[[YYYXXXWWWVVVVVVUUUTTTTTTSSSUUUUUUTTTSSSSSSRRRRRRQQQSSSTTTUUUUUUVVVYYY^^^bbbgggpppzzzyyyooo```VVVLLLGGGBBB<<<888777666555666888888888>>>FFFSSSgggvvvfffddddddgggmmmvvv|||~~~yyysssnnnkkkjjjhhhfffcccaaa```]]]YYYVVVNNNMMMJJJIIIFFFBBB===:::777888999888777777:::<<<>>>BBBGGGKKKOOOQQQRRRRRRTTTRRRPPPNNNMMMNNNPPPQQQNNNOOOQQQUUUZZZ___cccfffhhhhhhgggddd___\\\ZZZZZZYYYZZZ\\\\\\YYYSSSMMMJJJFFFEEEDDDDDDFFFGGGFFFEEEEEEDDDBBB???===;;;::::::777777666555555555666666444444444444555555666666777777777666666555555444444444333333222111111111......------------......---.../////////111444777;;;>>>BBBEEEFFFFFFHHHIIIEEEDDDCCCCCCCCCDDDFFFFFFDDDGGGJJJMMMOOORRRUUUXXXZZZ\\\^^^^^^^^^^^^```aaadddfffiiikkkkkklllmmmoooppprrruuuxxx|||KKKFFFCCCCCCBBB@@@BBBFFFEEEGGGIIIKKKKKKIIIFFFDDDHHHEEEAAA<<<999666555555555666777999===DDDLLLQQQYYY^^^dddiiimmmpppsssuuuwwwxxxxxxxxxwwwuuusssqqqpppqqqqqqmmmfffaaa___```cccggglllppprrrsssuuuvvvyyy|||}}}{{{zzzxxxwwwvvvuuuwwwzzz|||}}}|||yyytttooonnnoooqqqssstttsssppplllhhhddd```^^^[[[ZZZYYYVVVSSSLLLEEE???999999:::<<<@@@EEEJJJMMMRRRMMMEEE<<<555000......+++++++++*********))))))++++++************++++++******+++++++++,,,,,,,,,---......//////000111111000111333666777>>>NNN]]]xxx|||rrrssstttwww~~~{{{vvvuuuwwwzzzzzzzzzooommmjjjjjjmmmqqqtttuuuwwwuuussspppkkkddd[[[VVVHHHFFFFFFJJJRRR]]]iiiqqq|||}}}xxxuuuuuuvvvwwwwwwvvvrrrooollllllllllllllllllmmmnnnppppppppppppppppppppppppoooooonnnmmmlllkkkjjjjjjhhhhhhiiijjjlllmmmnnnnnnmmmmmmmmmmmmmmmmmmmmmmmmnnnooopppqqqssswww{{{yyylllggg___YYYXXX\\\aaaeeeppprrrssssssooollljjjiiijjjlllqqqyyy}}}zzzvvvssssssrrrqqqpppppppppppppppqqquuu{{{}}}xxxtttoookkkgggcccgggkkkqqqwwwzzztttlllggg```ZZZXXXWWWWWWWWW___aaaeeehhhhhhfffcccaaa]]]]]]\\\\\\\\\]]]]]]^^^___]]][[[XXXUUURRROOONNNMMMMMMMMMLLLMMMPPPVVVZZZaaakkkvvv~~~zzzpppaaaWWWLLLGGGBBB<<<888888777666777999999999???GGGUUUkkkqqqooommmooottt{{{|||uuupppmmmllliiigggdddbbb```]]]YYYVVVQQQOOOLLLJJJGGGCCC>>>:::888999:::::::::;;;>>>AAACCCGGGMMMRRRTTTTTTTTTUUUWWWUUUTTTRRRQQQQQQQQQQQQPPPPPPRRRUUUXXX\\\```bbbffffffeeeaaa]]]YYYXXXXXXVVVXXXZZZZZZXXXTTTOOOKKKHHHGGGEEEEEEFFFGGGGGGFFFFFFEEEDDDBBB@@@>>><<<;;;:::999888777666666666666444444444444555666777888888888888777777777777777555555444333333222222111......------------......---...//////000111555777;;;>>>AAACCCCCCCCCEEEFFFAAA@@@@@@@@@AAACCCEEEFFFBBBEEEHHHJJJLLLPPPTTTWWWXXXZZZ\\\]]]]]]^^^```aaadddfffiiikkkkkklllmmmoooppprrruuuxxx{{{NNNJJJGGGHHHHHHFFFHHHLLLFFFGGGGGGGGGFFFEEEDDDCCCBBB???<<<888666444444444555666777999===CCCKKKPPPWWW[[[bbbhhhlllooorrrsssvvvvvvuuusssrrrpppooonnnlllooooookkkddd___^^^___cccggglllpppssstttuuuvvvzzz|||~~~~~~|||zzzxxxxxxwwwxxx{{{|||~~~}}}zzzuuuqqqnnnoooppprrrrrrrrrppplllgggaaa[[[XXXTTTTTTTTTTTTRRRNNNGGGBBB999:::<<>>@@@DDDGGGLLLQQQXXX\\\\\\[[[[[[[[[[[[ZZZYYYXXXVVVUUUSSSSSSRRRRRRSSSUUUWWW[[[]]]___ccccccbbb___[[[XXXXXXXXXVVVWWWYYYZZZXXXUUURRRPPPLLLJJJGGGGGGGGGHHHHHHGGGGGGGGGGGGFFFDDDBBB???>>>===<<<;;;999888777777666555444444444555666888999777777777777777777888888555555555444333333222222......------------......---...///000000222555888999<<<>>>@@@@@@???@@@AAA??????>>>>>>???@@@BBBCCCAAACCCFFFHHHKKKNNNSSSVVVWWWYYY[[[]]]]]]___aaacccdddfffiiikkkkkklllmmmoooqqqsssuuuxxx{{{SSSOOOLLLNNNNNNLLLOOOSSSHHHHHHGGGGGGGGGFFFFFFFFF>>><<<999666444333333444555666777999<<>>======>>>???@@@@@@BBBEEEGGGJJJNNNSSSVVVWWWYYY\\\]]]^^^```ccceeedddfffiiikkkkkklllmmmoooqqqsssuuuxxx{{{WWWUUUTTTTTTUUUVVVVVVUUUWWWSSSNNNJJJHHHGGGFFFEEEBBB>>>:::777666555444333333555777888:::???GGGNNNVVV[[[bbbhhhlllnnnppprrrrrrqqqooollliiihhhjjjlllpppooonnnlllhhhccc```^^^eeehhhmmmpppsssuuuwwwyyyzzz{{{}}}~~~}}}zzzxxxyyyyyyyyyzzz|||}}}xxxrrrmmmmmmpppsssssstttrrrnnnfff^^^YYYVVVOOORRRRRRRRRSSSSSSLLLCCC>>>======BBBJJJPPPRRRRRRRRRNNNFFF===444/////////...---,,,+++******************)))))))))***,,,---...------,,,,,,++++++***,,,,,,---///000222333333444555777:::<<>>BBBEEEHHHOOOWWWZZZ```fffffffffgggfffcccfffeeecccaaa^^^[[[YYYXXXUUUUUUUUUUUUWWWZZZ]]]___cccbbbaaa___^^^]]]\\\[[[\\\\\\\\\]]]\\\XXXSSSOOONNNMMMMMMMMMNNNNNNLLLKKKNNNNNNNNNLLLJJJGGGDDDBBBDDDBBB@@@===;;;:::::::::555444333444555777777666999999999888777777666666888777777666555333222111------------------------.........///000222333444888999::::::;;;;;;;;;:::<<<<<<===???@@@BBBCCCCCCAAACCCEEEGGGIIILLLPPPSSSUUUXXX[[[]]]^^^```bbbdddfffhhhjjjkkkkkkmmmpppsssuuuwwwyyy{{{}}}UUUTTTTTTWWW[[[___```aaaZZZVVVQQQLLLJJJHHHGGGEEEAAA===999666555555444333333555777888999???GGGNNNUUUZZZaaagggkkkmmmnnnooonnnmmmkkkhhhfffhhhkkknnnssssssqqqmmmhhhccc```___eeehhhmmmppprrrtttwwwyyyyyy{{{}}}~~~|||zzzzzzzzz{{{{{{}}}xxxqqqllllllooorrruuuvvvuuuppphhh___XXXUUUPPPRRRSSSRRRTTTSSSMMMDDD???>>>>>>BBBIIIPPPRRRRRRRRROOOHHH>>>666111///000...---,,,+++******************)))))))))***,,,,,,------,,,,,,,,,,,,++++++,,,---...///000111222333555666999;;;>>>GGG[[[nnn|||yyyvvvxxx~~~yyysssuuuzzzzzzyyyyyyxxxyyy}}}~~~}}}{{{xxxnnnaaaWWWOOOQQQXXXcccqqq~~~wwwqqqiiijjjlllnnnppprrrssstttssssssssssssrrrrrrqqqqqqqqqqqqqqqqqqppppppppppppqqqpppooonnnlllkkkjjjiiimmmmmmnnnooopppqqqrrrrrrnnnnnnnnnnnnoooooopppqqqpppqqqsssvvvxxxzzz{{{|||}}}wwwooohhhbbb______```ccchhhnnnqqqrrrrrrrrrqqqqqqsssuuuvvvtttssskkkhhhccc```^^^]]]\\\[[[\\\]]]^^^```aaaaaabbbaaa___^^^]]]]]]```eeejjjnnnsssuuuzzz}}}~~~|||{{{yyywwwtttqqqnnnmmmmmmmmmkkkmmmqqqvvv}}}~~~yyytttsssvvvyyyzzzzzzzzz{{{}}}~~~|||{{{zzz|||yyyooofffbbbZZZTTTOOONNNLLLKKKNNNSSSYYYdddpppzzz}}}tttjjj^^^PPPIIIBBB<<<999999444666888888888<<>>BBBIIIOOORRRSSSSSSPPPJJJAAA888333111111...---,,,++++++******+++*********)))******+++,,,++++++,,,,,,,,,,,,------......//////000111222222666777:::===@@@JJJ___sss}}}|||||||||zzzwwwuuuuuuwww|||}}}uuuqqqtttxxxyyyxxxxxxyyy{{{yyyooobbbXXXNNNRRR[[[hhhvvvwwwrrrjjjkkklllnnnppprrrssstttttttttttttttssssssssssssrrrrrrqqqqqqppppppppppppqqqqqqpppooommmlllkkkkkkoooooopppqqqrrrsssttttttppppppoooooooooppppppqqqrrrsssuuuwwwxxxzzzzzz{{{zzz|||}}}sssiiicccaaaaaabbbffflllrrrvvvwwwyyyyyyyyyzzz{{{yyyvvvsssnnnjjjeeeaaa``````______bbbccceeegggiiijjjjjjjjjeeedddccccccfffjjjooorrruuuwwwyyy{{{|||||||||{{{yyywwwtttqqqnnnkkkjjjiiifffhhhmmmssszzz}}}xxxwwwzzz~~~~~~~~~xxxsssiiibbbZZZWWWSSSPPPSSSXXX[[[fffsss~~~vvvjjj^^^PPPHHHBBB<<<888888555777777777888===EEELLL]]]kkk~~~~~~~~~~~~}}}yyywwwmmmfff\\\RRRJJJDDD@@@>>>;;;:::<<>>GGGMMMUUUZZZ```eeeggghhhiiijjjgggeeebbb```aaagggooouuu}}}|||xxxppphhhbbbaaaaaadddhhhllloooqqqsssuuuwwwxxxzzz}}}}}}|||}}}~~~zzzpppiiigggiiilllqqqtttuuurrrjjjaaaYYYUUURRRTTTVVVVVVXXXXXXRRRIIICCC@@@>>>AAAHHHOOORRRSSSTTTRRRLLLDDD;;;555222222...---,,,+++++++++++++++******************++++++******+++,,,,,,---....../////////000000111111111555666999===AAAMMMcccwww{{{yyyvvvuuuuuutttrrrpppsssuuuyyyvvvpppmmmqqquuuuuuuuuuuuuuuxxxxxxlll```WWWOOOUUU___mmmzzzxxxssskkklllmmmnnnpppqqqsssssstttsssssssssssssssssssssrrrrrrrrrqqqqqqppppppoooqqqqqqpppooonnnnnnmmmmmmnnnooopppqqqrrrsssssstttrrrqqqqqqppppppppppppqqqssstttuuuwwwxxxxxxxxxxxxyyyzzz|||~~~ssskkkcccaaa```cccjjjrrrxxx|||}}}}}}{{{wwwuuupppjjjfffeeeffffffgggkkklllnnnoooppppppooonnnjjjiiiiiiiiikkknnnrrruuuxxxxxxyyyyyyzzz{{{||||||yyyxxxuuurrrnnnjjjhhhfffccceeejjjqqqxxxzzztttrrrvvvzzz}}}~~~|||}}}~~~|||sssiiibbb\\\XXXYYY^^^```lllyyyzzzlll___RRRJJJDDD===999999777888888888999>>>HHHOOO```mmmuuummmaaaUUULLLFFFBBB???<<<:::===CCCHHHNNNWWW___dddkkkpppqqqqqqrrrqqqmmmllllllkkkjjjiiihhhhhhgggbbbaaa___]]]]]]^^^___``````aaacccddddddddddddddd___]]][[[ZZZ[[[[[[YYYXXXVVVUUUTTTUUUXXXYYYYYYXXXVVVUUUSSSPPPLLLIIIFFFEEE@@@@@@>>>===<<<;;;:::::::::888555444555777888888666666777888999:::;;;<<<::::::999888777555444333333222111000///---,,,,,,.........//////111222222000111222444555666777777999::::::;;;<<<============>>>@@@BBBDDDGGGKKKNNNSSSVVVZZZ]]]___aaacccfffiiilllppprrrtttvvvyyy{{{xxxzzz|||}}}~~~WWWVVVVVVXXX]]]cccfffgggmmmiiiccc^^^XXXQQQKKKFFF===:::777444444555444333222444666777999>>>FFFMMMVVVZZZ```eeeggghhhiiiiiifffeeebbb```aaagggpppwww}}}}}}yyyqqqhhhbbbaaabbbdddgggllloooppprrrtttuuuwwwzzz}}}}}}}}}~~~{{{ppphhheeefffiiijjjmmmpppoooiiibbb[[[XXXTTTWWWXXXYYY[[[\\\UUUMMMFFFBBB???AAAGGGNNNRRRTTTUUUSSSNNNFFF>>>777333222------,,,,,,+++,,,,,,,,,*********+++******************++++++,,,---......//////000000111111222222444555888===BBBOOOggg|||wwwtttqqqoooooonnnmmmlllppprrrwwwzzzppplllkkkooorrrpppooopppnnnrrr{{{wwwjjj^^^WWWRRRYYYeeerrr}}}xxxsssmmmmmmnnnooopppqqqrrrsssrrrrrrrrrrrrrrrsssssssssssssssrrrrrrqqqppppppoooqqqqqqqqqppppppooooooooooooooopppqqqrrrsssttttttsssrrrrrrqqqqqqqqqqqqrrrttttttuuuvvvwwwwwwwwwwwwvvvvvvwwwxxx{{{|||sssdddaaa___```gggpppxxx|||}}}{{{wwwppplllkkkkkklllllloooqqqsssuuuvvvuuusssrrrooonnnmmmmmmnnnpppsssuuuvvvuuuuuuuuuuuuwwwyyyzzzzzzyyywwwtttoookkkgggeeebbbeeejjjqqqyyyyyyqqqmmmooosssuuuvvv}}}||||||{{{{{{{{{{{{{{{xxxzzz|||zzzqqqiiibbbbbbfffiiisss~~~nnnbbbUUULLLFFF???;;;;;;888999999999;;;AAAJJJRRRbbbooo{{{rrreeeXXXNNNHHHDDDAAA???===@@@EEEKKKOOOXXXaaahhhoootttttttttuuutttqqqoooooonnnnnnmmmllllllllliiihhheeebbbaaa```aaaaaabbbcccdddeeeeeedddbbbaaa^^^\\\ZZZZZZ[[[[[[[[[ZZZYYYWWWVVVUUUWWWXXXWWWWWWWWWVVVSSSOOOKKKGGGDDDCCC>>>>>>>>>===<<<;;;;;;:::999777555555777999::::::999999:::;;;<<<======>>>;;;;;;:::999888666555444222111111000//////..................///000111111000000111222333333333333222333444666888999;;;;;;===???AAABBBDDDGGGLLLOOORRRUUUYYY]]]___aaadddfffkkknnnrrrtttuuuvvvxxxyyyyyy{{{}}}~~~~~~YYYXXXXXX\\\bbbiiinnnpppssspppjjjddd]]]TTTLLLGGG???;;;888555555555444333222444666666888>>>FFFLLLWWW[[[aaafffhhhiiijjjkkkgggfffccc```aaagggooouuuzzz{{{yyyrrrhhhaaaaaacccdddgggkkknnnpppqqqssstttvvvyyy}}}~~~}}}}}}~~~|||qqqhhhddddddeeeeeehhhkkkkkkgggbbb]]][[[VVVYYY[[[\\\___```ZZZRRRHHHCCC???@@@FFFMMMRRRTTTTTTSSSOOOHHH???888444222------,,,,,,,,,,,,------***++++++++++++***))))))******+++,,,,,,---......//////000000111222333333333444888===DDDRRRkkk}}}tttqqqmmmjjjiiiiiiiiihhhmmmqqqxxx|||vvvnnnkkkjjjnnnooollljjjkkkiiinnnxxxvvviii___XXXTTT]]]jjjwww}}}wwwrrrnnnnnnoooooopppqqqrrrrrrrrrrrrrrrrrrrrrsssssssssttttttsssrrrqqqppppppoooqqqqqqqqqqqqqqqqqqqqqpppppppppqqqrrrssstttuuuuuussssssrrrrrrrrrsssssstttuuuuuuvvvwwwxxxxxxxxxxxxtttssssssrrruuu{{{vvvfffaaa]]]]]]cccllltttyyy|||~~~|||vvvrrrppppppooonnnppprrruuuyyyzzzzzzyyyxxxrrrqqqooonnnnnnooopppqqqttttttssssssuuuvvvyyyzzz{{{zzzyyyvvvrrrmmmhhheeeccceeejjjqqqyyyzzzpppiiihhhjjjllllllqqqppppppqqqqqqssstttttttttwww|||xxxooommmooorrr{{{pppdddVVVNNNGGG@@@<<<<<<777888::::::<<>>??????<<<<<<<<<<<<============<<<<<<;;;:::999777666555111111000000//////......///.........//////000111///000000111111111111111111222444666888;;;<<<===>>>???AAACCCEEEHHHLLLOOOQQQTTTYYY\\\___bbbeeeggglllooosssuuuvvvvvvwwwxxx{{{|||~~~~~~\\\[[[\\\```gggnnntttwwwxxxuuuooohhh```WWWMMMGGGAAA===999666555555444333222444555666888===FFFLLLWWW\\\ccchhhjjjkkkmmmmmmiiigggdddaaaaaaeeekkkpppuuuxxxxxxrrrhhhaaa```cccdddgggkkknnnoooppprrrtttvvvyyy}}}~~~|||~~~|||rrriiidddbbbcccdddfffiiiiiifffbbb___]]]YYY\\\^^^___bbbccc]]]UUUJJJDDD???@@@EEEMMMRRRTTTTTTSSSOOOIII@@@888333111------,,,,,,,,,------...***++++++,,,+++***)))(((+++++++++,,,,,,---------......///000222333444444333555999???FFFUUUooo{{{rrrooojjjgggffffffffffffmmmrrr{{{}}}uuuooollllllooonnnjjjggghhhgggmmmvvv~~~rrrfff\\\WWWVVV```nnn|||~~~yyytttpppoooooooooppppppqqqqqqrrrrrrsssssssssttttttttttttuuutttsssrrrqqqppppppoooqqqqqqqqqrrrrrrrrrrrrrrroooooopppqqqrrrsssssstttsssrrrrrrrrrssstttuuuuuuvvvwwwxxxyyyzzzzzzzzzzzzvvvuuusssrrrtttzzzvvvfffaaa\\\[[[```hhhpppttt{{{}}}}}}yyywwwuuusssrrrsssvvvyyy|||}}}|||{{{yyysssrrrpppnnnlllllllllmmmppppppqqqqqqsssuuuwwwxxx{{{|||{{{yyyuuupppjjjgggcccfffkkkqqqyyyxxxkkkaaa]]]]]]]]]]]]^^^^^^```bbbeeeiiilllnnnoootttyyy~~~|||xxxyyyxxxqqqdddVVVNNNGGG@@@<<<<<<444666999:::===BBBJJJQQQ[[[gggxxx~~~vvviii]]]TTTMMMHHHEEEFFFEEEHHHOOOUUU[[[eeennnwww~~~|||||||||{{{zzzyyyyyyyyywwwtttpppllliiiffffffeeeeeefffhhhiiihhhfffcccbbb___^^^]]]^^^```aaaaaa___]]]ZZZXXXXXXYYY[[[\\\\\\ZZZXXXSSSNNNIIIEEEBBBAAA;;;<<<=========<<<;;;:::555666888===BBBEEEEEEEEEBBBBBBAAA@@@??????>>>>>><<<<<<<<<;;;:::888666555222222111000...---,,,,,,///............///000000---...///000111111111111555555777888:::<<<>>>>>>===???AAABBBDDDGGGKKKOOOQQQTTTXXX\\\___bbbfffhhhlllooosssvvvwwwxxxzzz{{{|||~~~```___^^^bbbhhhooouuuwww{{{xxxrrrkkkbbbXXXNNNGGGBBB???:::777666555444333111333555666888===FFFLLLXXX]]]ccciiilllmmmnnnoooiiigggdddaaa```ccciiimmmrrrvvvwwwrrrhhhaaa```cccdddgggkkkmmmoooppprrrsssuuuyyy}}}|||~~~|||sssjjjdddaaaaaaeeegggiiihhheeeaaa___^^^ZZZ]]]___```dddeee___WWWJJJEEE@@@???EEEMMMRRRUUUSSSSSSPPPIIIAAA999333111------,,,,,,,,,------...***+++,,,,,,+++***)))(((++++++,,,,,,,,,,,,---------...///000222444555555555666:::@@@HHHXXXrrryyyrrrnnnhhheeeddddddeeeeeemmmsss}}}~~~uuupppnnnnnnpppoooiiiffffffiiinnnwwwyyymmmbbbYYYUUUVVVaaaqqq~~~{{{vvvqqqmmmoooooopppppppppqqqqqqqqqssstttttttttuuuuuuvvvvvvuuuuuutttsssqqqppppppoooqqqqqqrrrrrrrrrrrrssssssllllllmmmnnnoooppppppqqqrrrrrrrrrssstttuuuvvvwwwxxxyyyzzz{{{|||}}}}}}}}}zzzyyywwwuuuvvv|||~~~wwwfffaaa\\\ZZZ^^^eeemmmqqq{{{}}}}}}zzzwwwuuuyyy{{{}}}~~~|||yyywwwsssrrrooommmkkkjjjjjjjjjhhhiiijjjkkkmmmoooqqqrrr|||}}}}}}{{{wwwrrrllliiicccfffkkkqqqyyy~~~ttteeeYYYSSSRRRQQQPPPOOOPPPRRRVVV[[[aaafffhhhkkkpppvvv{{{|||pppdddVVVMMMFFF???;;;;;;111444888:::<<>>@@@BBBCCCFFFKKKNNNPPPTTTXXX\\\___bbbfffhhhkkknnnssswwwyyy{{{|||~~~}}}~~~bbbdddggglllrrrwww{{{}}}}}}vvvmmmcccYYYPPPKKK@@@===888444333333222222555333444777999<<>>===<<<;;;:::::::::888999===EEENNNSSSUUUTTTTTTRRRNNNKKKIIIFFFCCC@@@AAA>>>;;;999999888777666333222111000////////////////////////////////////////////////000000000000333444555666888:::;;;<<<===>>>@@@BBBCCCFFFJJJMMMRRRVVV[[[___bbbeeehhhjjjnnnpppsssvvvyyy|||}}}~~~}}}|||~~~eeehhhmmmrrrxxx}}}}}}vvvmmmcccYYYPPPKKKCCC???:::666555555444333555333444777999===FFFQQQZZZccckkkooorrruuutttqqqqqqoooiiiccc```aaaeeeiiipppqqqooojjjddd``````bbbeeehhhjjjlllmmmoooqqqtttvvvxxx|||}}}}}}~~~~~~~~~~~~wwwnnnhhheeeeeegggggggggfffdddbbbaaa``````___```bbbeeeddd___[[[MMMFFFAAABBBEEEHHHNNNTTTUUUUUURRRLLLCCC;;;555222------,,,,,,,,,,,,++++++++++++++++++++++++++++++---------,,,------...///000000000000111222333444777777;;;@@@HHHXXXsss{{{qqqmmmiiigggeeeccchhhooovvv~~~~~~wwwtttvvvxxxwwwsssooolllkkkrrrwww|||rrriii]]]SSSPPPRRR\\\lll}}}wwwqqqnnnlllkkkkkkmmmooopppppppppqqqrrrssssssssstttuuuwwwxxxxxxwwwvvvuuutttsssrrrrrrrrrrrrsssssstttuuuvvvwwwwwwuuutttrrrqqqppppppqqqqqqpppqqqssstttvvvxxxyyyzzz||||||}}}xxxssskkkccc[[[XXXYYY]]]fffooowww{{{xxxtttoookkkhhhfffdddbbb^^^^^^]]]]]]___bbbeeegggmmmooorrrssspppkkkeeeaaa^^^aaaffflllrrr{{{zzznnnfffZZZPPPIIIEEECCCBBB???AAAEEEIIINNNVVV^^^ccckkkpppvvv{{{zzzxxxxxx|||yyyssseee\\\PPPFFFBBB???<<<999:::999999:::===@@@DDDGGGPPPTTT]]]hhhpppyyy|||rrrggg^^^VVVPPPLLLMMMMMMOOOUUU___lllxxx}}}zzzwwwtttqqqooonnnnnnnnnnnnnnnnnnnnnnnnlllkkkiiigggeeecccbbbaaadddbbbaaabbbeeeggghhhhhhjjjddd[[[SSSMMMHHHEEECCC@@@???===;;;999999999::::::<<>>GGGRRR\\\eeepppuuuxxx{{{yyyuuutttqqqllleeeaaaaaaeeehhhooopppnnniiiccc```aaacccgggiiikkkllllllmmmoooqqqtttwww|||}}}~~~~~~~~~~~~xxxpppiiieeedddeeeeeeeeeddddddccccccccccccaaaaaaccceeeccc]]]XXXKKKDDD???@@@DDDHHHNNNTTTVVVUUUSSSMMMDDD;;;444111------,,,,,,,,,,,,++++++*********++++++,,,,,,---,,,,,,,,,,,,,,,---......//////000000222333555555777888;;;@@@GGGXXXsssrrrmmmhhhfffeeeeeekkksss}}}zzzzzz|||}}}{{{xxxtttrrrrrrxxx}}}yyymmmaaaVVVMMMLLLPPP^^^ooo|||uuuoookkkjjjiiikkkmmmooopppooopppqqqrrrrrrsssssstttuuuvvvwwwwwwwwwvvvuuutttsssrrrrrrrrrtttuuuvvvwwwxxxyyyzzzzzzwwwvvvtttrrrqqqppppppqqqqqqrrrsssuuuwwwyyy{{{|||}}}}}}||||||~~~}}}wwwsssjjjbbbZZZWWWXXX[[[dddmmmuuuyyyzzzvvvpppkkkhhhdddaaa^^^\\\[[[ZZZYYYZZZ[[[\\\]]]bbbccceeefffdddaaa\\\ZZZXXX\\\bbbjjjrrr||||||sssmmmeee^^^SSSJJJDDD@@@>>>===<<<>>>AAAEEEKKKSSS\\\aaajjjooovvvzzz~~~~~~qqqnnnlllnnnqqqqqqkkkfffZZZTTTKKKDDDAAA???<<<999999999888999;;;???BBBDDDFFFIIIQQQZZZbbbkkkzzzvvvkkkccc[[[TTTPPPOOOPPPSSSYYYdddqqq}}}~~~|||{{{xxxwwwvvvuuutttttttttuuuqqqooommmjjjgggeeedddcccfffeeeeeefffjjjmmmoooooooooiii```XXXQQQLLLHHHFFFAAA???<<<999777777999999;;;???FFFPPPYYY```bbbbbbbbb^^^YYYUUUPPPKKKFFFCCCCCCAAA===;;;;;;:::888666444333222111000000000000////////////////////////////////////000000000000444444555777999:::<<<<<<>>>???AAABBBDDDGGGKKKNNNTTTXXX^^^cccfffjjjmmmpppssstttvvvyyy|||~~~}}}zzzzzz{{{}}}jjjoooxxxxxxooofff]]]SSSMMMHHHDDD>>>:::888777666555444333444888;;;???IIISSS]]]gggsssyyy}}}|||xxxvvvsssnnngggcccbbbeeehhhmmmnnnmmmhhhccc```aaadddhhhiiikkklllkkklllmmmooorrrvvv{{{}}}~~~~~~~~~~~~~~~yyyqqqjjjeeeccceeeeeeeeeeeefffgggggghhhfffddddddeeefffbbb\\\VVVKKKDDD???AAADDDHHHNNNTTTVVVVVVTTTNNNDDD;;;444000------,,,,,,,,,+++++++++))))))***+++,,,,,,------++++++++++++,,,,,,---.../////////111222444666777777888;;;@@@HHHXXXsssyyyrrrmmmjjjhhhhhhooowww}}}}}}zzzxxxwww{{{xxxiii]]]QQQJJJLLLRRR```ppp}}}tttnnnjjjiiiiiijjjlllooooooooooooppprrrrrrrrrssstttuuuuuuvvvvvvvvvuuutttsssssssssssssssuuuvvvvvvxxxyyyzzz{{{|||zzzxxxvvvtttrrrqqqqqqqqqqqqrrrtttvvvxxx{{{|||}}}}}}~~~|||}}}~~~}}}wwwsssjjjaaaZZZWWWWWWZZZbbbkkkrrrwww{{{tttooojjjeee```]]]]]]\\\[[[YYYXXXXXXXXXWWWWWWXXXYYYYYYXXXWWWUUUSSSSSSXXXaaajjjttt~~~{{{rrriiiccc]]]WWWNNNGGGAAA>>><<<:::;;;===AAAEEELLLTTT^^^dddkkkpppwww{{{~~~xxxrrriiieeebbbccceeeeeeaaa^^^SSSOOOIIIDDDAAA???;;;999888888888888:::===???AAA@@@BBBHHHPPPWWW```ooo}}}yyyoooggg___YYYUUUSSSTTTXXX```jjjwww|||zzzyyyyyyvvvtttpppmmmiiigggeeeeeegggfffgggiiinnnrrrttttttrrrmmmddd\\\UUUOOOKKKGGGBBB@@@<<<888777777999:::;;;@@@IIITTT]]]ccceeefffeeebbb]]]YYYUUUQQQLLLHHHFFFCCC@@@>>>===;;;999777444444222111111111111111////////////////////////////////////000000000000333444555777999:::;;;<<<>>>???AAACCCEEEGGGLLLOOOVVVZZZ```eeeiiimmmpppsssuuuvvvxxx{{{}}}~~~~~~|||{{{|||~~~kkkqqq{{{zzzqqqiii```VVVOOOIIIDDD???:::888777555444444333555888;;;@@@JJJUUU^^^iiiuuu{{{~~~yyyvvvtttoooiiidddccceeegggkkklllkkkgggccc```bbbdddhhhiiikkkkkkjjjjjjlllmmmpppsssyyy~~~~~~}}}}}}~~~~~~}}}}}}zzzqqqjjjfffdddggghhhiiijjjkkklllmmmmmmiiihhhhhhhhhhhhddd\\\VVVLLLEEE@@@AAAEEEIIIOOOUUUUUUVVVTTTNNNEEE<<<444111------,,,,,,,,,+++++++++))))))***+++,,,,,,------+++******+++,,,---.../////////000111222444666777777888<<>>:::888777777777888999:::<<<===>>>???DDDJJJPPPXXXggguuuuuullleee___[[[WWWYYY]]]eeeppp{{{~~~{{{yyyzzzxxxuuuqqqllliiifffeeegggfffgggjjjooosssvvvwwwsssnnnfff^^^WWWQQQLLLHHHCCCAAA===:::888999:::<<<===DDDOOOYYYaaaeeeggghhhdddaaa]]][[[XXXUUURRROOOIIIFFFDDDBBB@@@>>>:::888555444333222111111111111000000000000000000000000////////////000000000000333333555666888:::;;;;;;===???AAACCCEEEIIINNNQQQXXX\\\bbbgggkkkooorrruuuwwwxxxyyy{{{|||}}}~~~~~~}}}{{{zzz|||}}}mmmsss~~~|||sssllldddYYYRRRIIIEEE???:::888666555333444333555999<<>>CCCJJJUUU```gggpppuuu|||{{{rrrjjjddd]]]ZZZXXXWWWWWWWWWVVVUUURRRPPPLLLGGGBBB===:::888777777777777777888999:::===>>>AAAFFFJJJQQQ^^^kkk|||~~~uuunnnhhhddd^^^```eeemmmwww|||~~~}}}zzzvvvqqqlllhhhffffffeeefffiiiooosssvvvwwwsssnnnggg___YYYSSSMMMJJJDDDBBB???===<<<<<<>>>???CCCJJJUUU___dddggghhhhhh___]]][[[ZZZYYYXXXUUUSSSLLLJJJGGGEEECCC@@@===:::555555444333222222222222000000000000000000000000////////////000000000000222222333555777888::::::<<<>>>AAADDDGGGKKKPPPTTTZZZ^^^dddiiilllpppsssvvvwwwxxxyyyzzz{{{{{{{{{{{{yyyzzzzzzxxxwwwwwwyyy{{{qqqwwwuuuoooggg\\\TTTKKKFFF@@@;;;888777555333444333555999===BBBMMMXXXcccmmmwww}}}zzztttrrrnnniiieeeccceeeggggggiiiiiifffbbb```cccfffggghhhjjjjjjiiiiiikkkmmmllloootttxxx~~~{{{zzz|||zzz{{{{{{{{{|||xxxpppjjjgggfffjjjmmmqqqtttvvvvvvtttsssqqqpppoooppppppjjjbbb[[[NNNFFFAAAAAADDDFFFKKKQQQRRRSSSSSSOOOGGG>>>777333------,,,,,,,,,,,,+++++++++++++++++++++++++++++++++++++++,,,---///000111111111111222333444555666777888===CCCMMM___{{{~~~yyyuuuxxx~~~}}}ttteeeXXXOOOLLLRRR[[[jjjzzz{{{tttooollljjjiiilllnnnooonnnnnnoooqqqpppqqqsssttttttsssrrrqqqssssssssssssssstttuuuvvvtttuuuvvvxxxzzz{{{}}}}}}}}}{{{yyywwwuuuuuuuuuuuuttttttuuuvvvwwwxxxyyyyyyxxx}}}}}}xxxyyyzzz}}}~~~}}}zzzxxxnnnggg___]]]\\\]]]cccjjjqqqvvv}}}vvvooohhhccc_________]]]ZZZVVVQQQOOOIIIGGGCCCAAAAAACCCFFFIIIQQQXXXcccoooyyy}}}tttkkkbbb[[[TTTPPPLLLIIIEEEAAA???===;;;999999;;;>>>CCCKKKVVVaaaiiiqqqvvv}}}{{{vvvpppjjjfff```^^^\\\ZZZYYYWWWVVVUUUQQQOOOKKKFFFAAA<<<::::::666666666666666777777777::::::>>>BBBEEEIIIUUUaaammmyyyyyyrrroookkkmmmssszzz}}}wwwqqqkkkgggfffeeefffiiinnnsssvvvwwwsssnnngggaaa[[[UUUOOOLLLDDDCCCAAA@@@@@@@@@AAABBBEEEMMMXXXaaadddddddddddd\\\ZZZXXXXXXXXXWWWUUUTTTOOOMMMKKKIIIFFFCCC???;;;666555444333333222222333000000000000000000000000////////////000000000000000111222444555777888999:::<<<@@@DDDGGGMMMRRRVVV\\\```eeeiiimmmpppsssuuuvvvwwwxxxyyyyyyyyyyyyyyyvvvwwwwwwvvvvvvwwwyyy{{{uuu{{{vvvppphhh^^^UUULLLHHHAAA<<<999777555444444333555:::===CCCMMMXXXeeeoooyyy}}}{{{sssqqqnnniiieeedddeeegggggghhhhhheeebbbaaacccffffffgggiiiiiiiiiiiikkkmmmlllnnnrrrwww|||{{{yyy{{{yyyzzz{{{{{{|||wwwooojjjggggggkkknnnrrrvvvxxxwwwuuusssrrrrrrrrrsssrrrmmmddd]]]MMMFFF@@@@@@BBBDDDIIIOOOQQQSSSSSSPPPHHH???888444---------,,,,,,,,,++++++,,,,,,++++++++++++++++++,,,,,,,,,---...///111111222222222222333333444555777888===DDDNNN```}}}}}}}}}|||~~~|||}}}qqqbbbVVVMMMKKKQQQZZZiiixxx{{{uuuoookkkjjjiiikkknnnnnnnnnnnnoooqqqpppqqqsssttttttsssrrrqqqssssssssssssssstttuuuvvvuuuvvvwwwyyy{{{|||~~~~~~}}}{{{yyywwwvvvvvvvvvvvvuuuuuuuuuvvvwwwwwwxxxxxxwww}}}~~~zzzssssssvvvyyy|||}}}{{{yyyppphhhaaa^^^]]]^^^dddkkkrrrvvv~~~wwwpppiiidddbbbbbbbbb```]]]XXXTTTQQQHHHEEEAAA>>>>>>@@@DDDGGGQQQYYYdddoooyyyzzz||||||vvvmmmddd\\\UUUOOOKKKHHHEEEBBB???===;;;999777:::<<>>CCCMMMWWWfffqqq||||||uuutttrrrnnniiieeeccceeegggnnnlllhhhddd```___aaacccfffiiikkkkkkjjjiiiiiijjjiiimmmqqqtttxxx{{{zzzzzz{{{{{{zzz{{{||||||}}}wwwnnniiiggghhhlllooorrrtttuuusssqqqooosssrrrsssuuuvvvrrriiiaaaSSSLLLBBB<<<;;;???EEEHHHOOOSSSSSSNNNHHHBBB999111000///...------,,,---------,,,,,,++++++,,,,,,---...------......///000111000000111222333555666777777999===DDDQQQhhh|||~~~}}}}}}wwwhhhZZZSSSMMMJJJPPP[[[lllzzzxxxsssooommmkkkkkkkkkkkkkkkkkklllmmmnnnpppqqqqqqrrrrrrqqqqqqqqqrrrssssssttttttuuuuuuuuuuuuvvvvvvwwwxxxzzz{{{||||||{{{yyywwwvvvuuuvvvvvvvvvvvvvvvvvvwwwxxxyyyzzz{{{|||~~~|||xxxqqqqqqsssvvvxxxxxxvvvtttpppkkkddd___^^^ccciiinnnvvvxxx~~~{{{rrrkkkfffdddbbbdddeeeccc^^^XXXSSSPPPIIIDDD@@@@@@@@@???CCCHHHRRRYYYcccnnnwww}}}}}}xxxtttrrrrrrssstttuuuvvvxxxyyymmmjjjddd]]]VVVPPPLLLKKKFFFDDDAAA>>>;;;;;;;;;;;;<<<===???EEEOOOZZZccchhhssswww||||||wwwttttttuuuvvvvvvpppmmmhhhdddaaa]]]ZZZWWWPPPLLLFFFBBB>>><<<999777:::888666444333555888:::666777999;;;>>>CCCJJJOOOXXX```ooo~~~zzzrrrkkkjjjjjjjjjlllppptttvvvvvvvvvqqqjjjbbb[[[VVVSSSRRRKKKHHHEEECCCDDDFFFJJJMMMQQQUUUZZZ[[[ZZZZZZ[[[\\\XXXWWWUUUUUUVVVVVVUUUTTTWWWUUUPPPKKKEEE@@@<<<:::;;;777444333444555333111111000000000000000111111222000///------///000222222111111000222444666888;;;>>>BBBFFFJJJOOOTTTXXX___bbbfffiiikkklllnnnpppooorrrvvvxxxxxxwwwwwwxxxwwwvvvuuuttttttvvvxxxyyyttt}}}|||rrrkkkaaaXXXNNNIIIBBB===:::888777666444333555:::>>>CCCNNNYYYgggqqq{{{zzzttttttrrrooojjjeeedddfffiiimmmlllhhhddd```___aaacccfffhhhkkkkkkjjjiiiiiijjjkkknnnrrrtttwww~~~~~~zzzyyyyyyyyyyyyyyyzzz{{{{{{|||~~~}}}vvvnnniiihhhiiilllnnnppprrrrrrpppnnnmmmppppppqqquuuwwwsssjjjcccSSSLLLBBB<<<;;;???EEEHHHKKKPPPQQQMMMHHHBBB888000000///...------,,,---------,,,,,,++++++,,,,,,---,,,,,,,,,------...///000000000111222333555666777888:::???FFFTTTjjj|||}}}zzzzzz|||~~~sssdddVVVPPPKKKHHHOOOZZZmmmzzz~~~vvvrrrooommmlllkkkkkkkkkkkklllmmmnnnnnnqqqqqqrrrrrrrrrqqqppppppooopppppppppqqqqqqrrrrrrttttttuuuvvvwwwyyy{{{||||||{{{yyyxxxvvvvvvvvvwwwwwwwwwwwwwwwwwwxxxyyyyyy{{{|||}}}{{{vvvmmmmmmnnnppprrrsssrrrqqqnnnkkkfffbbbccchhhooosssxxxzzz~~~|||wwwqqqjjjdddaaa```bbbdddeeeddd```YYYTTTPPPIIICCC?????????>>>BBBGGGOOOVVVaaakkksssxxx}}}~~~}}}}}}|||zzzuuurrrmmmlllkkkjjjjjjkkkllllllfffccc]]]WWWQQQMMMIIIHHHDDDCCC@@@===;;;::::::;;;===>>>AAAHHHRRR]]]fffkkktttxxx}}}}}}yyyxxxyyy{{{}}}}}}yyyuuuoooiiiddd___ZZZVVVOOOKKKEEEAAA>>><<<999777666666555444333333444444333444555777999>>>EEEIIIPPPWWWdddpppzzzwwwrrrnnnlllkkklllooorrrttttttssspppjjjccc]]]XXXUUUTTTOOOMMMJJJIIIJJJLLLPPPRRRXXX[[[^^^^^^\\\[[[[[[\\\[[[YYYXXXXXXZZZ[[[\\\[[[[[[XXXSSSLLLFFFAAA===;;;:::777444333444555444222111111000000000000111111111000///......///000111111000000000222555777999;;;>>>BBBFFFJJJOOOUUUXXX\\\```eeeiiikkkmmmoooqqqnnnqqquuuwwwwwwvvvwwwwwwxxxwwwvvvuuuuuuwwwxxxzzzuuuvvvooodddZZZOOOJJJCCC>>>:::888777666555444555999===CCCPPP[[[jjjsss|||{{{uuusssrrrnnniiifffeeehhhkkkmmmkkkhhhccc```___aaacccfffhhhkkkkkkjjjjjjjjjjjjllloooqqqsssvvv}}}|||xxxvvvwwwwwwwwwxxxyyyzzzzzz{{{}}}|||vvvooojjjiiiiiikkkkkklllmmmmmmllljjjjjjkkklllooossstttqqqiiicccRRRKKKBBB<<<<<<@@@EEEHHHJJJOOORRRPPPKKKDDD;;;111000///...------,,,---------,,,,,,++++++,,,,,,---,,,,,,+++,,,,,,---...///111111111222333555777888999<<>>>>>>>>===AAAFFFLLLSSS]]]gggmmmqqqtttuuuvvvwwwyyyzzzzzzzzzyyyyyyvvvuuuuuuuuuuuutttqqqnnngggeeeccc```_________```^^^\\\XXXSSSNNNJJJGGGFFFBBB@@@>>>;;;:::999:::;;;>>>@@@EEELLLVVVaaajjjpppuuuyyy~~~~~~yyyqqqjjjbbbZZZUUUMMMIIIDDD@@@===;;;999777555555555555444333111000333333444555666:::???CCCGGGLLLVVV```gggqqq{{{vvvssspppoooqqqssstttuuusssqqqmmmhhhddd```]]]\\\XXXWWWVVVUUUWWWZZZ]]]___ccceeefffeeeccc```___``````]]][[[\\\___bbbeeeeeeccc___XXXPPPHHHAAA===;;;:::888555555555555444333222111111000000000111111111000///......///000111//////000111333555888999;;;>>>BBBFFFKKKPPPUUUYYY[[[___dddiiikkknnnppprrrnnnpppsssuuuuuuuuuvvvwwwxxxxxxwwwvvvvvvwwwyyyzzzttt}}}zzzqqqfff\\\QQQKKKDDD>>>;;;999777555666444555999>>>EEERRR^^^nnnvvv~~~|||wwwrrrppplllgggdddeeehhhkkkmmmkkkhhhccc```___aaadddfffhhhkkklllkkkjjjjjjkkklllmmmppprrrvvv}}}zzzvvvttttttttttttvvvwwwxxxxxxyyy|||~~~xxxqqqllliiihhhiiiiiiiiiiiihhhgggffffffggghhhjjjmmmnnnkkkddd___QQQKKKBBB<<<<<<@@@EEEHHHKKKQQQVVVTTTPPPJJJ@@@666000///...------,,,---------,,,,,,++++++,,,,,,---,,,,,,,,,,,,---...///000111111111222444555777888999<<>>======<<>><<<:::999999:::;;;>>>AAAHHHPPPZZZdddmmmssswww{{{xxxoooeee[[[UUUKKKGGGBBB>>><<<;;;999888999888777666555444333222555666666666777999===AAACCCEEEKKKSSSXXX```ooo}}}}}}yyyvvvvvvxxxxxxxxxxxxwwwuuurrrooollljjjiiiffffffffffffhhhkkknnnoooqqqrrrrrrqqqooommmkkkjjjgggdddbbbbbbeeejjjmmmooolllggg^^^SSSIIIBBB===;;;999888777666666555555444222222111111000000111111000000////////////000000000000000111333555777888;;;>>>BBBGGGKKKPPPVVVZZZ]]]aaafffjjjlllmmmooopppmmmooorrrsssssssssuuuvvvyyyxxxxxxwwwwwwxxxyyyyyyoooxxx}}}ttthhh\\\RRRMMMFFF???;;;999777555666555666:::???FFFSSS```mmmvvv~~~|||wwwpppnnnjjjeeebbbcccgggkkklllkkkhhhccc```___bbbdddfffhhhkkklllkkkkkkkkklllkkklllnnnqqqwwwyyytttrrrrrrrrrrrruuuvvvvvvwwwwwwzzz~~~}}}uuunnniiigggffffffffffffeeeddddddccccccdddeeefffeeebbb\\\YYYPPPJJJBBB======AAAEEEHHHLLLSSSWWWVVVRRRLLLCCC999000///...------,,,---------,,,,,,++++++,,,,,,---------------...///000111111111222333444666777888999<<>>===<<<;;;???DDDLLLQQQYYY___bbbbbbcccccccccdddeeeeeeeeedddcccbbb```^^^]]]^^^```bbbaaaaaa]]][[[YYYXXXWWWXXXYYYZZZZZZXXXUUUQQQLLLGGGCCCAAA===<<<:::999888999:::;;;===CCCKKKTTT\\\fffpppvvvzzz~~~|||rrrggg\\\UUUIIIFFFAAA>>><<<;;;:::999<<<:::666444333333444555666666777666666888;;;>>>@@@@@@CCCHHHLLLRRR^^^jjjwww~~~~~~}}}|||~~~}}}|||{{{zzzxxxwwwvvvssstttuuuvvvxxxzzz|||~~~~~~~~~}}}}}}|||zzzyyyssspppmmmlllooorrruuuvvvqqqkkk```TTTIIIAAA<<<:::888888888888777666555555333333222111111111111111000000////////////000000111111222222333444555555;;;>>>BBBGGGLLLQQQWWW[[[```dddiiilllmmmmmmmmmmmmmmmoooqqqrrrrrrrrrtttvvvyyyyyyxxxxxxxxxxxxxxxxxxiiiqqq~~~wwwjjj^^^TTTNNNGGG@@@<<<999777555666555777<<>>AAAEEEHHHKKKQQQUUUSSSOOOJJJAAA888000///...------,,,---------,,,,,,++++++,,,,,,---...............000111111222222222333444666888888999<<>>===<<<;;;???DDDKKKOOOUUUXXXYYYYYYYYYZZZXXXXXXYYYYYYYYYXXXVVVUUUSSSRRRPPPQQQSSSUUUVVVVVVSSSSSSSSSSSSTTTUUUVVVVVVUUUTTTQQQMMMHHHCCC???===<<<;;;999888888:::;;;===???FFFOOOXXX```hhhqqqxxx|||~~~ttthhh]]]UUUHHHEEE@@@>>>===<<<;;;:::;;;888555222111222444666444555555555444555777:::;;;:::<<>>BBBGGGLLLRRRWWW[[[cccgggllloooooommmmmmlllmmmoooqqqqqqqqqrrrtttvvvxxxxxxxxxxxxxxxwwwwwwwwwdddkkkwwwzzzlll```UUUOOOHHHAAA<<<999666555444444777>>>CCCJJJVVVaaakkkuuu~~~xxxqqqnnniiiccc```aaafffjjjkkkjjjgggccc``````bbbeeefffhhhkkkllllllllllllmmmooonnnooorrryyyxxxsssqqqppppppppprrrsssttttttuuuwww{{{~~~{{{qqqiiieee```bbbdddffffffeeecccaaa[[[ZZZYYYXXXVVVUUUUUUVVVOOOIIIBBB>>>>>>BBBEEEHHHKKKPPPRRRPPPLLLGGG???777000///...------,,,---------,,,,,,++++++,,,,,,---------------...///000000222222222333555666888999:::===FFFTTThhh}}}~~~vvvooojjjfffgggjjjooowwwzzzvvvvvvxxxzzzvvvvvvrrrnnnooosssrrroooppppppssszzzxxxqqqbbbUUUJJJHHHIIINNN[[[jjj||||||xxxrrrmmmllllllllllllhhhhhhhhhiiikkkmmmnnnooooooppppppqqqrrrrrrrrrrrrqqqppppppooommmllllllkkkmmmmmmmmmmmmnnnooopppqqqpppooonnnnnnnnnpppqqqrrrrrrtttwwwzzz|||}}}}}}|||yyyzzz|||}}}~~~|||uuuqqqooommmllliiijjjlllrrr{{{vvvooofff\\\UUUIIIDDD???>>>===<<>>BBBIIITTT]]]ccckkktttzzz~~~vvviii\\\TTTHHHDDD@@@>>>>>>>>>===<<<999777666444444444555666222333444444333444666888888666777:::<<<===DDDLLLUUU^^^lll{{{}}}zzzwwwuuusssqqqeee___TTTIIIAAA<<<;;;;;;666888;;;:::888666777888555444333222111111111111//////000000000000//////---...000222555666777888:::>>>CCCGGGLLLRRRXXX\\\ccchhhmmmpppqqqpppoooooonnnoooqqqqqqqqqrrruuuwwwwwwwwwxxxxxxwwwvvvvvvuuubbbhhhsss}}}nnnbbbVVVPPPHHHAAA<<<999666555444444888???DDDKKKVVVaaammmxxx|||ssspppjjjdddaaabbbfffjjjkkkjjjgggccc``````ccceeefffhhhkkklllllllllmmmnnnrrrqqqpppsssyyyxxxsssqqqpppppppppqqqrrrsssssstttvvv{{{~~~{{{rrrjjjfff___aaadddggggggfffcccaaaXXXXXXVVVTTTSSSTTTVVVYYYNNNIIIBBB>>>>>>BBBFFFHHHLLLPPPRRROOOKKKGGG???888000000...------------------,,,,,,++++++,,,,,,---,,,,,,,,,,,,---...//////222222333333555666888999;;;???GGGWWWkkkwwwpppjjjeeeaaabbbfffllluuu~~~vvvssstttwwwyyyxxxvvvqqqlllnnnssstttqqqrrrssswww}}}wwwoooaaaTTTIIIGGGIIIOOO\\\lll~~~|||xxxrrrmmmllllllllllllgggggghhhiiijjjlllnnnooonnnooopppqqqrrrsssssssssrrrqqqqqqooonnnmmmlllkkkmmmmmmmmmmmmmmmnnnoooooommmmmmlllllllllnnnooopppqqqsssvvvzzz|||}}}~~~}}}zzz{{{|||}}}~~~yyyvvvsssqqqkkklllnnnsss|||~~~tttiii^^^VVVJJJDDD@@@???===<<>>>>>>>>>>>===888999999999999999888777333444555555444555777888777555666:::;;;;;;@@@GGGHHHPPP]]]lll|||}}}xxxtttpppllliii]]]WWWMMMDDD===;;;;;;<<<666999;;;;;;888666777888555444333222111111111111//////000000000000//////***,,,...222555888:::;;;:::>>>CCCHHHLLLRRRXXX\\\cccgggmmmqqqrrrrrrqqqqqqnnnpppqqqqqqqqqsssuuuwwwwwwwwwwwwwwwwwwvvvuuuttt```dddmmm{{{pppcccWWWPPPFFF@@@===<<<:::888555444666<<>>;;;===@@@BBBCCCFFFEEECCCAAA@@@???>>>>>>===<<<<<<;;;:::::::::;;;999999999999;;;===AAACCCCCCJJJNNNMMMMMMOOONNNKKKLLLJJJHHHGGGFFFDDD@@@>>><<<;;;999777777;;;AAAEEEJJJQQQ[[[dddiiiooouuuyyy}}}|||mmm]]]RRRIIIFFFAAA???>>>??????>>>888777666555333333222222555555555555666666666666777888888777777999<<>>;;;;;;===>>>999:::<<<===<<<:::888666444444333333222111000000000000////////////000000///111222222333555888;;;<<<@@@EEEJJJOOOTTTYYY]]]dddhhhmmmqqqrrrrrrrrrsssrrrrrrrrrrrrsssuuuwwwxxxwwwxxxxxxyyyxxxwwwvvvuuu___ccclllzzzrrreeeYYYQQQGGG@@@===;;;999777555444777===CCCLLLZZZgggrrr|||~~~xxxtttmmmfffcccdddfffiiinnnjjjfffcccbbbcccddddddhhhiiijjjlllmmmnnnnnnnnnpppqqqsssuuuyyyzzztttsssrrrpppppprrrqqqsssttttttuuuxxx|||uuujjjdddbbbaaabbbccceeeeeedddbbb[[[XXXUUUTTTUUUUUUUUUTTTRRRJJJBBB???>>>>>>CCCJJJNNNOOOPPPQQQNNNGGG===666111000///------------...------,,,+++++++++,,,,,,,,,,,,,,,---...///000111444444444555666777888999>>>DDDMMM\\\qqq|||sssllleeebbb___aaaccchhhuuuxxxoooooouuuzzz~~~~~~}}}{{{wwwttttttvvvxxxzzz}}}wwwlll]]]QQQGGGGGGIIIPPP```rrr|||vvvoookkklllmmmnnnmmmjjjiiigggfffgggiiilllmmmnnnooopppqqqrrrrrrrrrrrrsssqqqnnnlllmmmnnnnnnmmmkkkkkklllllllllkkkkkkkkkkkkkkklllmmmnnnnnnnnnnnnpppqqqtttvvvyyy{{{||||||zzz|||~~~|||wwwttttttuuuzzzttteeeXXXMMMGGG@@@<<<===@@@AAAAAACCCBBBAAA???>>>===<<<<<<999999888777777777777777666777777777888;;;???AAAEEELLLQQQRRRQQQRRRPPPMMMLLLJJJGGGFFFDDDBBB???<<<;;;:::999777888<<>>>>>===:::999888666555555555444777777666666555555555444555666777777666888:::===AAAGGGPPP[[[hhhyyy~~~{{{yyytttllleee^^^WWWPPPLLLDDDBBB???;;;999888888888999:::;;;<<<<<<999777555444444333333222111111000111111000000000000111111000111222333333555888:::<<<@@@EEEJJJOOOTTTZZZ]]]dddhhhmmmqqqsssssstttttttttssssssrrrssssssuuuuuuvvvwwwxxxyyyzzzyyyyyyxxx]]]aaakkkyyyuuuhhh[[[SSSIIIAAA===;;;888666666555777===DDDLLLYYYfffsss}}}yyytttmmmgggddddddgggiiimmmjjjeeeccccccdddeeeeeeiiijjjkkklllmmmmmmmmmmmmoooppprrrtttxxx~~~xxxsssrrrqqqooooooqqqrrrssstttuuuuuuwww{{{~~~uuukkkdddaaaaaabbbeeefffeeebbb```[[[XXXUUUTTTUUUVVVVVVVVVQQQJJJBBB???>>>???EEELLLPPPQQQRRRRRROOOGGG>>>777111000...---,,,,,,------,,,,,,+++++++++,,,------,,,,,,,,,---...///111111222333333555666888:::;;;>>>EEEOOO^^^ttt~~~uuummmgggccc___aaaccchhhuuuvvvnnnnnnttt{{{~~~yyytttsssuuuvvv}}}wwwkkk[[[PPPGGGGGGKKKRRRcccuuu|||vvvoookkkkkkllllllkkkiiihhhgggfffgggiiikkkmmmmmmmmmoooppprrrrrrssssssrrrpppmmmkkkkkklllkkkjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjkkklllmmmnnnnnnnnnnnnoooppprrruuuwwwyyyzzz{{{{{{}}}}}}{{{yyyyyy|||{{{kkk]]]OOOIIIBBB??????@@@???>>>@@@???===<<<::::::999999666666555444444444555555333444444444555888===@@@HHHPPPVVVXXXWWWWWWSSSNNNKKKIIIFFFDDDCCC@@@===;;;999999888888999>>>EEEJJJQQQXXXccckkkpppuuuzzz}}}yyymmm___VVVMMMJJJEEEAAA???>>>===;;;<<<;;;:::999888777777777888888777666555444333333333555666777666777888:::???CCCJJJRRR^^^mmm}}}}}}~~~~~~~~~}}}~~~|||uuussssssqqqnnnkkkfff^^^WWWPPPIIICCC???<<<<<<;;;999888666555444888999:::;;;:::888666555444444333333222222111111222222222111111222222222222333333333333444777:::<<<@@@EEEKKKPPPUUUZZZ^^^dddhhhmmmqqqssstttuuuvvvxxxwwwvvvuuutttttttttuuuuuuvvvwwwyyyzzz{{{{{{{{{[[[```iiixxxxxxlll^^^VVVKKKCCC>>>;;;888555666666999>>>DDDLLLYYYeeesss~~~zzzuuunnnhhheeeeeehhhjjjmmmiiieeecccccceeefffgggiiijjjkkklllllllllllllllnnnoooqqqtttxxx~~~~~~wwwqqqqqqpppmmmmmmppprrrsssuuuuuuuuuwwwzzz|||vvvlllfffbbbbbbdddfffhhhfffbbb___[[[XXXUUUSSSTTTVVVVVVVVVQQQJJJBBB@@@???@@@FFFMMMRRRSSSTTTTTTPPPHHH>>>777111000...---,,,,,,---...++++++++++++,,,,,,---...,,,---------...000111222222222333555777999;;;<<<>>>EEEQQQaaawwwxxxooohhhddd___aaaccciiivvvwwwnnnnnntttzzz~~~}}}xxxsssqqqsssuuu|||wwwlll\\\PPPHHHHHHLLLTTTeeewww|||vvvoookkkkkklllkkkiiihhhhhhgggggggggiiikkklllkkklllnnnpppqqqrrrssssssrrrpppmmmkkkkkkkkkiiihhhiiiiiiiiiiiiiiijjjjjjjjjkkkkkkmmmnnnooopppqqqqqqpppqqqsssvvvxxxzzz{{{|||}}}}}}|||~~~pppaaaTTTNNNGGGCCCAAAAAA???<<<<<<;;;:::888777666666666555555444444444444555555111333444333444777===BBBKKKTTT\\\^^^^^^\\\VVVQQQLLLIIIFFFCCCAAA???<<<:::888888888888:::@@@GGGMMMTTT\\\fffnnnssswww{{{~~~~~~tttjjj^^^VVVLLLHHHDDDAAA@@@???===;;;<<<;;;:::999888888888888888777777666555444444444222444777777777666777888===@@@EEELLLUUUcccsss}}}~~~{{{yyywwwvvvvvvvvvtttuuuwwwxxxxxxzzz|||~~~uuukkkhhhfffdddaaa]]]YYYSSSMMMGGGBBB===:::::::::999888777777666666888888999999999777555444444444333333333222222222222222111111111111222222333444444444333444777999===@@@FFFKKKPPPVVV[[[___dddhhhnnnrrrtttvvvwwwyyyzzzyyyyyyxxxxxxwwwwwwwwwuuuvvvwwwxxxyyyzzzzzzzzz[[[___hhhvvvzzznnn```XXXLLLDDD???<<<888555777777:::???EEELLLXXXdddrrr|||{{{vvvoooiiiffffffiiikkkmmmjjjeeecccdddeeeggggggiiiiiijjjkkklllllllllkkkmmmoooqqqtttxxx~~~|||uuupppooonnnkkkkkknnnqqqrrrtttuuuuuuvvvxxxzzz~~~wwwooojjjeeeeeegggiiijjjhhhccc```[[[XXXTTTRRRSSSUUUVVVVVVRRRJJJCCCAAA@@@AAAGGGNNNSSSTTTUUUTTTQQQIII???888222111000............///++++++++++++,,,,,,---...---------...///000111222111222333555777:::<<<======FFFRRRccczzz{{{rrrjjjeee```bbbeeekkkyyy{{{qqqpppuuu{{{~~~{{{uuuqqqppprrrtttyyyvvvmmm^^^RRRJJJJJJMMMUUUfffxxx{{{uuuoookkkkkkkkkjjjhhhgggggggggggggggiiijjjkkkjjjkkkmmmoooppprrrrrrrrrrrrpppnnnmmmmmmllljjjhhhiiihhhhhhhhhhhhiiijjjkkklllmmmnnnppprrrsssttttttssstttvvvyyy{{{}}}~~~}}}~~~vvvhhhZZZSSSKKKFFFCCCAAA>>><<<999888777666555444444444333333333222222333444444111333555444444888???EEEOOOXXXaaadddcccaaaZZZTTTNNNKKKFFFCCCAAA>>><<<999888888888999<<>>===;;;;;;:::999888888888888555555555666666666666666333555777888777777777888:::>>>BBBHHHPPP\\\jjjttt~~~}}}uuuqqqnnnmmmlllllllllmmmnnnoooqqqsssvvvyyyzzz|||~~~oooccc___\\\YYYWWWPPPMMMHHHEEEBBB???<<<999;;;:::777666666777999:::888888888888888777555444444444444333333333333333111111111000000111111111333444444444333444777999===AAAFFFLLLQQQWWW\\\```fffiiinnnrrrtttvvvxxxzzzxxxxxxyyyyyyyyyxxxxxxxxxvvvvvvvvvvvvvvvwwwwwwxxx\\\___gggtttzzzoooaaaYYYMMMEEE@@@<<<999666888777;;;AAAFFFLLLWWWcccnnnyyy|||wwwpppjjjggggggjjjlllnnnkkkfffddddddeeeffffffhhhiiijjjkkkllllllllllllmmmoooqqqtttxxxzzztttnnnmmmllljjjjjjlllnnnppprrrssstttuuuwwwyyy}}}wwwrrroooiiiiiijjjkkkllljjjfffccc^^^ZZZUUUSSSSSSUUUVVVVVVSSSLLLDDDAAA@@@AAAGGGNNNRRRSSSTTTTTTQQQIII@@@999333222000///......//////,,,,,,+++++++++,,,---------------...///000222222222333444555777:::<<<===>>>GGGUUUggg}}}}}}tttlllgggaaacccgggnnn}}}yyyxxx|||{{{uuuqqqpppsssvvvxxx~~~|||uuummm___SSSKKKKKKOOOVVVhhhyyyyyytttnnnkkkkkkkkkiiiggggggggggggggghhhiiijjjjjjkkkkkkmmmnnnppppppqqqqqqrrrpppnnnnnnnnnmmmkkkiiiiiiiiihhhhhhhhhjjjkkkllllllnnnooorrrsssuuuvvvvvvvvvwwwyyy|||~~~}}}nnn___XXXNNNGGGCCCAAA===;;;777777666555444444444444111111000000000111222222222555777666555999AAAIIITTT^^^gggjjjiiifff___YYYQQQMMMHHHDDDAAA???===;;;888888999:::===CCCKKKQQQYYYaaakkkssswwwyyy{{{~~~}}}sssjjjaaaYYYSSSHHHFFFCCCBBBBBBAAA???>>>::::::999888888888888888555555555555666666777777555666777777666666777999888<<<@@@EEEKKKUUUaaaiiisssyyyxxxnnnfffaaa``````aaabbbeeehhhkkkllltttwww{{{~~~wwwhhh\\\WWWTTTPPPMMMEEECCC@@@>>>>>>===;;;::::::999666555555666999:::999999999888888777666555444444444444333333333333111111000000000000111111333444444444444555888:::===AAAGGGLLLRRRXXX]]]aaahhhkkkpppsssuuuwwwyyy{{{wwwwwwxxxxxxxxxwwwwwwvvvvvvvvvuuuuuuuuuvvvvvvwww]]]```gggssszzzoooaaaYYYNNNEEEAAA===:::777888888;;;AAAFFFLLLWWWbbbjjjuuu}}}xxxqqqkkkhhhhhhkkkmmmppplllgggddddddeeefffffffffgggiiijjjllllllmmmmmmnnnooorrruuuyyyyyyrrrmmmlllkkkiiiiiikkkkkkmmmppprrrssstttvvvxxx}}}~~~{{{xxxuuutttnnnnnnmmmmmmmmmllliiigggbbb]]]XXXUUUUUUVVVWWWWWWUUUMMMEEEBBB@@@AAAFFFMMMQQQRRRSSSTTTQQQJJJ@@@999222111///...------......------,,,+++++++++,,,,,,------......///111222333333333444666888:::<<<===@@@JJJXXXkkkvvvmmmgggaaadddiiiqqqxxxsssrrruuuxxxzzz|||yyyrrrlll]]]RRRJJJLLLPPPYYYkkk}}}wwwrrrmmmkkkkkkkkkjjjhhhffffffgggggghhhiiiiiijjjkkklllmmmnnnoooooooooooopppooonnnnnnnnnnnnllljjjjjjiiihhhhhhhhhjjjlllmmmlllmmmoooqqqtttuuuvvvwwwxxxyyy{{{~~~ooobbbYYYNNNEEEAAA>>>;;;999777666555444444444444444111111111111111222333333222555777666555999CCCKKK[[[dddmmmooonnnkkkeee___TTTPPPJJJFFFCCC@@@>>><<<999999::::::>>>DDDLLLQQQ\\\dddnnnuuuyyyzzz|||~~~}}}~~~qqqggg___WWWRRRKKKIIIFFFEEEDDDBBB@@@>>>::::::999999888888999999666666666666666555555555555555666555333444666888777:::???BBBFFFMMMVVV]]]eeekkkssszzz~~~zzzpppggg___[[[[[[\\\^^^aaaeeejjjnnnqqqzzz}}}|||zzzyyyvvvvvvvvvuuuuuuuuuttttttttttttuuuuuuuuutttrrrqqqllllllmmmnnnpppsssuuuvvvzzz|||zzzooo```UUUOOOLLLGGGCCC@@@>>><<<;;;<<<<<<;;;:::999999888888888888888999999999999888888777666666444444444444444444444444222222111111111111222222222333444444444666999<<<===AAAGGGMMMRRRXXX^^^bbbjjjmmmqqqsssuuuwwwyyy{{{zzz{{{{{{{{{zzzxxxvvvuuuuuuuuutttuuuvvvwwwyyyzzz^^^```fffrrryyyoooaaaYYYNNNFFFAAA>>>;;;888999999<<>><<<999777777666666555444444444444444444333333444555666666222555888666555999CCCLLL```iiiqqqsssqqqoooiiicccUUUQQQLLLGGGDDDAAA???===:::::::::;;;>>>DDDLLLRRR^^^fffpppwwwzzz|||}}}~~~~~~qqqfff^^^WWWSSSOOOMMMJJJGGGFFFCCC@@@>>>;;;;;;:::999999999::::::888888777666555444444333444555444222111222555888666:::>>>@@@CCCGGGNNNSSSYYY___gggnnnqqquuuzzz~~~wwwnnnfff___[[[[[[]]]```dddiiioootttwww~~~yyysssooonnnlllllllllkkkkkkjjjjjjjjjbbbcccddddddcccbbb```___]]]]]]]]]___aaadddgggiiihhhkkkpppvvv}}}tttiiiZZZPPPJJJGGGBBB>>>@@@>>><<<<<<======<<<;;;999:::<<<===<<<;;;999888::::::999999888777777777444444444444444444444444444333333222222333333444111222444444555777:::======AAAGGGMMMSSSYYY___ccclllnnnrrrtttuuuvvvyyy{{{}}}zzzxxxvvvtttttttttuuuwwwyyy|||}}}[[[ZZZ___kkkyyyvvvllleee[[[PPPIIIBBB;;;888999;;;;;;===CCCLLLVVV\\\```jjjnnnuuu}}}~~~zzztttnnnkkkkkkmmmoooqqqnnniiieeecccccceeegggfffhhhjjjlllnnnpppqqqrrrtttuuuuuuwww{{{vvvpppllllllkkkgggfffhhhiiikkkmmmnnnnnnoooqqqrrr{{{~~~}}}}}}|||zzzyyyyyyvvvrrrqqqqqqqqqqqqqqqoooiiiaaaZZZWWWWWWWWWWWWVVVNNNEEE@@@>>>>>>CCCJJJMMMRRRVVVUUUSSSOOODDD:::666333///---------,,,+++++++++,,,,,,---...//////111000...---...000444666111333666888999;;;===???GGGMMM\\\rrryyyoooiiiaaaccchhhsss|||{{{{{{||||||zzzsssjjj[[[SSSKKKKKKQQQ^^^rrr|||wwwpppmmmjjjiiikkkllllllllliiiiiihhhhhhiiiiiijjjkkknnnnnnlllkkkkkklllmmmnnnnnnlllkkkiiihhhhhhiiiiiihhhhhhiiiiiiiiijjjjjjjjjjjjjjjkkkmmmoooqqqsssuuuzzz|||~~~vvvjjjXXXRRRIIIBBB>>>;;;999888666666666666555555555555777555333333444444444333444222222444777<<>>===<<<;;;;;;>>>???BBBKKKUUU[[[hhhtttyyyzzz|||}}}{{{qqqfff^^^YYYUUURRROOOKKKGGGEEECCC@@@>>><<<;;;:::999888888888888:::999777666666666777777888888777666666666666666666777:::===AAADDDHHHJJJRRRWWW\\\bbbfffiiilllooosssvvvzzz~~~}}}ssslllfffbbb___```bbbeeelllsssyyy||||||~~~~~~|||vvvooojjjgggfffdddcccaaa___]]]\\\[[[[[[[[[ZZZYYYWWWUUUSSSRRRQQQOOOOOOOOOPPPQQQRRRRRRSSSTTTXXX]]]ccciiipppxxx}}}~~~~~~}}}{{{xxxtttqqqooo\\\WWWOOOGGGAAA>>>======;;;;;;;;;<<<<<<<<<=========<<<:::999999999::::::::::::888777666666666666777666333111111111222333333222222222222222222333222333333333333555999;;;@@@DDDJJJPPPUUU[[[aaaeeennnnnnppprrrtttvvvwwwxxx{{{{{{||||||{{{zzzyyyyyyttttttuuuvvvwwwxxxxxxyyy[[[YYY\\\gggsssvvvmmmdddZZZOOOIIIBBB;;;888:::;;;;;;>>>EEENNNXXX^^^aaahhhkkkqqqyyy~~~zzzuuupppmmmmmmoooppprrrooojjjfffcccdddeeefffggghhhjjjmmmooopppqqqrrrttttttuuuwww{{{xxxrrrmmmlllkkkhhhhhhjjjhhhjjjlllmmmnnnoooqqqssszzz~~~}}}{{{yyywwwtttqqqpppqqqrrrrrrqqqnnnhhh```ZZZWWWWWWWWWWWWUUULLLCCC???<<<<<>><<<<<<:::;;;===>>>BBBKKKUUU\\\hhhuuuzzz}}}~~~vvvllleee___[[[UUUQQQLLLHHHEEECCCAAA???<<<;;;:::999888888888888:::999888777777777888888888777666666555555666666777888999;;;>>>AAACCCEEEKKKNNNSSSXXX[[[___cccfffkkknnnssswww{{{wwwqqqlllhhhffffffgggiiinnntttyyy{{{{{{{{{zzzzzzyyyyyyxxxxxxxxxttttttrrrmmmgggccc`````````^^^\\\YYYWWWUUUTTTSSSPPPOOONNNLLLJJJIIIGGGGGGBBBBBBCCCDDDDDDEEEFFFFFFDDDGGGKKKPPPUUU[[[bbbfffjjjjjjiiigggeeebbb___]]]QQQMMMHHHBBB>>>;;;;;;;;;::::::;;;;;;<<<=========<<<;;;::::::999:::;;;;;;::::::888777666666666666777555333111111111222333222222111111111111222222333333444444444666:::===AAAEEEKKKQQQVVV\\\bbbfffnnnoooqqqsssuuuxxxyyyzzz|||||||||||||||{{{zzzzzzuuuuuuvvvwwwxxxxxxyyyyyy[[[XXXYYYaaakkkvvv~~~uuummmaaaXXXNNNHHHBBB<<<999;;;;;;<<<@@@GGGQQQ[[[aaadddeeehhhmmmtttzzz~~~~~~}}}{{{xxxsssnnnlllmmmooopppsssppplllgggeeeeeefffggghhhiiikkkmmmooopppqqqrrrssstttvvvxxx||||||uuuooommmkkkiiiiiilllgggiiikkkmmmnnnooorrruuuyyy}}}{{{xxxuuusssqqqoooooopppqqqrrrqqqmmmhhh___YYYWWWVVVWWWWWWTTTLLLBBB===::::::???EEEJJJPPPTTTUUUTTTQQQGGG>>>666333///---------,,,,,,+++,,,,,,------.........+++,,,...///000111111111444555777888999:::===???GGGPPPbbbzzzxxxmmmfffcccggglllvvv~~~~~~|||tttjjjXXXQQQKKKMMMUUUcccwwwxxxsssllljjjgggfffgggggggggfffiiihhhhhhhhhhhhiiijjjjjjmmmmmmllllllllllllmmmmmmmmmllljjjiiihhhhhhiiijjjhhhhhhhhhhhhhhhhhhggggggkkkkkklllmmmoooqqqsssuuuvvvyyy|||~~~~~~~~~ooo```VVVJJJEEE???;;;999888888777888888777666666555444444666444222222333444333222444333444777:::???JJJUUUeeemmmtttvvvwwwwwwrrrkkkccc]]]TTTKKKEEEAAA===;;;;;;::::::===>>>AAAKKKUUU]]]iiiuuu{{{tttmmmgggccc[[[VVVOOOIIIEEECCCAAA@@@<<<;;;:::999888888888888999999888888888999999:::777777666555555555555555777777888999;;;===???@@@DDDFFFJJJMMMPPPUUUZZZ^^^eeehhhmmmrrrvvv{{{zzzwwwsssqqqnnnnnnnnnqqquuuwwwxxxwwwuuutttrrrqqqpppoooppppppnnnnnnmmmjjjeee```^^^^^^YYYWWWUUUQQQNNNLLLJJJIIIEEEDDDCCCBBB@@@???======<<<<<<<<<======>>>>>>???;;;===@@@CCCFFFKKKPPPTTTUUUUUUUUUSSSQQQOOOLLLJJJEEECCCAAA>>><<<::::::::::::::::::;;;<<<======>>><<<<<<;;;;;;;;;<<<<<<===;;;:::999777666666555555666555333222111111222222111111000000000000111111222333444444444777;;;>>>BBBFFFMMMSSSXXX^^^cccfffmmmnnnqqqtttwwwzzz{{{||||||}}}}}}}}}}}}||||||{{{wwwwwwxxxxxxyyyyyyzzzzzzZZZVVVVVV[[[cccmmm{{{{{{rrrjjj___VVVLLLGGGBBB<<<:::<<<;;;===BBBJJJTTT]]]ccceeedddeeeiiinnntttxxxyyyxxxvvvsssooollljjjkkkmmmnnntttqqqmmmiiigggfffggghhhhhhiiikkkmmmooopppqqqqqqrrrsssvvvyyy~~~yyyrrrnnnllliiiiiilllgggiiikkklllmmmpppsssvvvzzz{{{yyyvvvrrroooooommmllllllooopppqqqpppkkkfff^^^XXXVVVWWWXXXXXXVVVMMMCCC>>>:::999>>>DDDIIINNNTTTUUUUUURRRIII@@@777444000...---------,,,,,,,,,,,,---------............///111222333444444555777888888999;;;>>>@@@GGGRRRfff~~~zzzooogggbbbgggmmmxxx}}}~~~~~~|||sssiiiXXXQQQMMMNNNVVVcccvvv}}}vvvpppllliiigggffffffgggfffeeehhhhhhhhhhhhhhhiiijjjjjjllllllllllllllllllmmmmmmlllkkkiiihhhhhhhhhiiijjjiiiiiiiiiiiihhhhhhhhhhhhkkkllllllnnnooorrrsssttttttwww{{{~~~}}}|||{{{lll___SSSLLLCCC@@@;;;888888888999888999888888777666555444444666444222222333444333222444333444888:::???IIITTTdddkkkqqqtttuuuuuuqqqkkkddd^^^TTTLLLEEE@@@===:::;;;999:::===>>>BBBKKKUUU^^^iiittt{{{~~~vvvnnnjjjbbb\\\SSSKKKFFFDDDBBB@@@;;;;;;:::999888888888888888888888999999::::::;;;777666666555555555555555777777777888:::<<<===>>>BBBCCCEEEHHHKKKPPPVVV[[[dddgggmmmrrrvvv{{{}}}uuusssrrrrrrtttuuutttsssqqqooommmkkkjjjkkklllmmmnnnnnnmmmjjjddd```]]]\\\SSSRRROOOKKKHHHEEECCCCCC@@@???>>>===<<<;;;::::::::::::;;;;;;<<<<<<<<<<<<;;;<<<>>>@@@AAADDDHHHKKKKKKKKKKKKJJJHHHFFFDDDBBB@@@???>>>===<<<;;;;;;:::999999:::;;;===>>>??????============>>>>>>>>>???;;;:::999777666555555555444444333222111111222222000000////////////000000111222333333444777;;;>>>DDDHHHOOOUUUZZZ___dddgggkkkmmmppptttxxx{{{|||}}}}}}}}}~~~~~~~~~}}}}}}|||yyyyyyyyyzzzzzzzzzzzzzzzZZZWWWVVVZZZ___hhhvvvzzzpppggg]]]TTTKKKFFFAAA<<<:::<<<;;;===CCCLLLVVV^^^ccceeeddddddeeeiiinnnrrrssstttrrrpppmmmjjjjjjkkkmmmnnnsssqqqnnnjjjhhhhhhhhhiiihhhiiijjjlllnnnoooppppppppprrrvvvzzz}}}uuupppmmmiiihhhjjjhhhiiijjjkkkmmmoootttwww{{{}}}yyyvvvrrrnnnkkkjjjiiihhhjjjlllnnnnnnmmmhhhccc\\\WWWVVVWWWYYYZZZXXXOOOEEE???;;;999>>>DDDHHHNNNSSSUUUVVVSSSJJJAAA777444000.........---,,,,,,,,,,,,---------------000///......000333666888666777888888999;;;???BBBHHHTTTiii~~~sssmmmccciiiqqqzzz{{{}}}}}}{{{zzzxxxooofffXXXRRRMMMNNNUUU```qqq{{{sssnnnkkkiiigggggghhhhhhfffeeehhhhhhgggggghhhhhhiiijjjjjjkkkkkklllllllllmmmmmmkkkjjjiiihhhhhhhhhiiijjjjjjjjjjjjjjjjjjjjjjjjjjjllllllmmmnnnppprrrssstttrrrvvvzzz~~~}}}|||wwwhhh\\\SSSKKKFFF@@@===999888888999::::::999888888777666666555555777555333333444555444333333222444777:::>>>GGGRRR```ffflllnnnpppqqqnnniiibbb\\\SSSKKKEEEAAA===;;;;;;::::::===???CCCLLLVVV^^^hhhsss{{{}}}|||{{{zzz~~~xxxsssiiibbbYYYPPPJJJFFFCCCAAA;;;;;;:::999888888888888888888999999::::::::::::777777666555555555555555666666777888:::<<<>>>???@@@BBBCCCFFFIIIOOOUUUZZZdddhhhnnntttxxx}}}zzzxxxuuutttttttttsssrrrpppnnnlllkkkkkklllmmmooooooooonnniiibbb[[[WWWUUUOOOMMMKKKHHHEEEBBBAAA@@@>>>======<<<;;;:::::::::777777777888888888888888888999;;;;;;<<<>>>BBBEEEGGGGGGGGGFFFEEECCCAAA???>>>>>>======<<<;;;:::999999:::;;;<<<>>>???@@@AAA@@@@@@@@@AAAAAAAAAAAA@@@<<<;;;999777666555444444333333222222111111222222000//////////////////000000111222333444777;;;???FFFKKKQQQXXX]]]aaafffhhhiiilllppptttxxxzzz||||||}}}}}}~~~~~~~~~~~~~~~}}}{{{{{{{{{zzzzzzzzzzzzzzz^^^[[[ZZZ\\\___eeerrr{{{pppggg]]]SSSJJJEEEAAA;;;:::<<<:::===CCCMMMVVV^^^bbbcccdddcccbbbdddhhhkkkmmmnnnnnnmmmkkkiiiiiikkkmmmnnnooommmkkkiiiggggggggghhhggghhhjjjkkkmmmnnnnnnnnnooorrrvvv{{{}}}uuurrrnnnjjjiiijjjiiijjjkkkkkklllooossswww|||}}}yyyuuuqqqllliiifffeeeeeegggiiikkkjjjjjjeee```ZZZVVVVVVXXX[[[\\\[[[QQQGGG@@@<<<:::===CCCHHHNNNTTTVVVVVVSSSKKKAAA777444000.........------------------------------///...,,,+++---111555888666777888888999<<>>===<<<:::;;;>>>@@@DDDNNNXXX```iiisss{{{|||xxxvvvuuuvvv{{{~~~oooiii___UUUNNNHHHDDDAAA<<<;;;:::999888888888888777888999999:::999999888888888777666666666666666666777777999:::<<<>>>???>>>???BBBEEEHHHNNNUUUZZZccchhhnnntttyyy}}}}}}zzzxxxxxxxxxwwwvvvtttsssrrrpppppppppqqqqqqrrrrrrpppjjjaaaYYYSSSPPPJJJIIIGGGDDDBBBAAA@@@@@@<<<;;;;;;;;;::::::999999888888888888888888888888666888999:::;;;>>>AAADDDDDDEEEEEEDDDBBB@@@>>>======<<<<<<;;;:::999888888::::::<<<>>>@@@AAACCCCCCDDDDDDEEEEEEDDDCCCBBBBBB<<<;;;999888666555444444222222222222222222111111000000////////////000000000111222333555888===@@@HHHMMMTTTZZZ___cccgggiiiiiilllppptttxxxzzz{{{{{{|||}}}}}}~~~~~~~~~~~~}}}||||||{{{{{{zzzzzzyyyyyyfffcccaaaaaa```dddooozzz~~~sssjjj\\\SSSJJJEEE@@@;;;999;;;999<<>>CCCGGGOOO\\\rrr}}}yyy~~~yyyyyyuuupppnnnllleee]]]RRRLLLHHHJJJOOOXXXgggtttyyyqqqlllgggffffffgggiiiiiihhhgggggggggggggggggghhhiiiiiihhhiiikkklllmmmmmmlllllljjjiiihhhgggggghhhiiijjjhhhhhhiiijjjkkkllllllmmmmmmnnnnnnoooppprrrssstttrrruuuzzz~~~{{{llldddYYYQQQLLLHHHCCC@@@???<<<999888999999999888777777777777777888888888999777666555666777666555777666777:::;;;===EEENNNSSSYYY^^^```bbbeeeddd```[[[VVVNNNHHHDDDBBB@@@>>>===;;;===@@@BBBFFFOOOZZZdddllluuu}}}{{{vvvrrrpppmmmpppuuu{{{tttnnnddd[[[RRRKKKEEEAAA<<<;;;:::999888888888888777888999999999888777666999999888777777777777777888888888888999:::;;;<<<<<<>>>BBBFFFJJJPPPWWW[[[ccchhhooouuuzzz~~~~~~~~~{{{{{{yyyxxxvvvtttsssrrrppppppmmmggg]]]TTTMMMJJJCCCCCCBBB@@@@@@?????????::::::::::::999999999999999999999999999999999999777999;;;<<<>>>AAAFFFIIIGGGGGGFFFEEEDDDAAA???======<<<;;;:::999999999:::;;;;;;===???AAACCCEEEFFFHHHHHHHHHHHHGGGEEEDDDCCC===;;;:::888666555444444111111222222222222111111111000000//////000000111111222444555777;;;@@@CCCIIINNNVVV\\\aaaeeehhhjjjjjjmmmqqqvvvyyy{{{{{{{{{{{{|||}}}}}}~~~~~~}}}}}}||||||{{{zzzzzzyyyxxxxxxllliiifffeeebbbccclllwwwuuummm]]]SSSJJJEEE@@@:::888:::999<<>>DDDHHHRRR___uuu}}}}}}yyywwwsssmmmjjjhhhbbbZZZNNNIIIFFFHHHMMMVVVeeerrryyyqqqkkkeeeeeeeeefffiiiiiihhhgggggggggggggggggghhhiiiiiihhhiiijjjlllmmmmmmlllllliiiiiihhhgggggghhhiiijjjffffffgggiiijjjkkklllmmmnnnnnnnnnoooppprrrssstttrrrvvvzzz~~~uuulllccc\\\TTTMMMJJJFFFBBB>>>>>><<<999888888999888777666666666777888888999999:::888666666777888777666999888999<<<<<<>>>EEENNNPPPUUUZZZ[[[^^^aaaaaa]]]XXXTTTMMMGGGDDDBBBAAA@@@>>><<<===AAACCCGGGPPP[[[fffnnnwwwzzztttpppmmmfffiiimmmrrrzzzvvvpppggg^^^UUUMMMEEEAAA<<<;;;:::999888888888888777888999999888777666555:::999999888888888888888:::999999888888888888888<<>>>>>======>>>>>>???::::::::::::::::::::::::666666666666666666666666555777:::<<>>===<<<;;;;;;<<<======;;;<<<>>>@@@BBBDDDFFFGGGJJJJJJKKKJJJIIIGGGEEECCC===<<<:::888666444444333000111111222222222111111111111000000000000111111333444666777999===BBBFFFJJJOOOWWW]]]bbbfffiiikkklllooosssxxx{{{||||||{{{{{{{{{|||}}}}}}}}}}}}}}}||||||{{{zzzyyyxxxxxxwwwqqqsssrrrooojjjjjjnnnsss}}}kkkeeeZZZLLLBBB???>>><<<::::::===CCCLLLUUU[[[^^^______\\\YYYVVVWWWZZZ^^^aaabbb```\\\YYYXXXYYY[[[]]]\\\[[[ZZZZZZ\\\___bbbddddddfffggggggffffffhhhiiioooqqquuuyyy|||yyytttpppmmmmmmnnnoookkklllmmmllllllnnnqqqsssyyy{{{uuunnnhhhccc```___```bbbcccdddccccccbbbaaa]]]XXXVVVWWWYYY[[[[[[ZZZQQQGGGAAA===<<<@@@FFFIIIOOOTTTVVVWWWUUUMMMEEE777444000......///......------------------------...//////000111333444555444666777999;;;>>>CCCGGGRRR___uuu{{{{{{||||||}}}|||wwwsssoooggg[[[RRRHHHHHHGGGIIIOOO\\\lllxxx|||uuupppmmmiiihhhhhhgggfffeeeeeeeeeffffffgggggghhhhhhhhhiiijjjjjjkkklllllllllkkkkkkhhhgggfffeeeeeeeeeeeeeeeeeefffggghhhiiijjjkkkkkkmmmmmmnnnpppqqqrrrsssttttttxxx}}}~~~}}}}}}rrrhhhbbbZZZVVVQQQLLLHHHDDDAAA>>>@@@???===<<<:::999999999777777888999::::::999999888888888888888777777777777888999:::;;;>>>BBBFFFNNNPPPSSSVVVYYY\\\]]]]]]XXXSSSMMMIIIFFFEEEDDDCCCDDDAAAAAACCCFFFIIIQQQYYYfffqqq}}}}}}ssskkkkkkfffdddiiiqqqxxx~~~xxxqqqfff[[[QQQIIICCC??????===<<<:::999888777777888777555555777999999999<<<;;;999777777888:::;;;777777777777666888;;;>>>>>>???CCCIIIQQQYYY^^^aaagggllltttzzz|||xxxsssnnnjjj```]]]XXXRRRLLLGGGDDDBBBBBBAAAAAA@@@@@@@@@@@@AAA>>>>>>===<<<:::888666555:::888777777888:::999999<<<;;;:::<<>>===;;;::::::999:::;;;===@@@CCCFFFGGGFFFHHHKKKLLLLLLJJJGGGEEE@@@===:::666444333333444555444333222111111111111111111111111111111222222000222444777:::>>>DDDHHHQQQTTTYYY^^^bbbfffkkkooopppqqqsssvvvyyy{{{}}}|||||||||||||||}}}}}}}}}{{{{{{zzzyyyxxxxxxxxxxxxrrrssssssooojjjhhhkkknnn{{{nnncccYYYLLLCCC???>>><<<:::;;;>>>DDDLLLUUU[[[]]]^^^^^^[[[WWWSSSSSSUUUXXXZZZ]]][[[XXXVVVTTTUUUVVVVVVXXXWWWVVVVVVXXX\\\___bbbccceeeggggggggggggiiijjjnnnqqqtttxxx~~~~~~}}}yyywwwtttpppnnnnnnooooookkklllmmmmmmmmmnnnqqqtttyyy~~~yyysssmmmgggccc``````aaabbbddddddddddddcccaaa]]]YYYVVVWWWYYY[[[\\\ZZZQQQGGGAAA===;;;@@@FFFIIIOOOTTTVVVWWWUUUMMMDDD777444000......///......------------------------...//////000111333444555666777999:::<<<@@@EEEIIITTTaaaxxxzzzyyyzzzyyy{{{}}}|||xxxsssiii\\\RRRHHHHHHHHHKKKRRR```qqq||||||uuuooollliiihhhhhhgggffffffeeeeeehhhiiiiiiiiijjjjjjjjjjjjjjjjjjkkkkkkkkkjjjjjjiiihhhgggfffeeeeeeeeeeeeeeeffffffggghhhiiijjjkkkkkkmmmmmmnnnoooqqqrrrssssssssswww}}}~~~zzzzzz|||~~~xxxooofffaaa\\\XXXRRRMMMIIIFFFBBB??????>>>===;;;:::999999888888999999:::::::::::::::::::::999999999999999999999:::<<<<<<===@@@DDDGGGJJJLLLOOORRRUUUVVVWWWXXXUUUQQQLLLIIIHHHGGGFFFEEEEEEBBBAAACCCEEEHHHPPPYYYhhhssswwwoookkkeeebbbeeekkkqqqyyy~~~}}}|||xxxssspppiii```VVVOOOHHHCCC???<<<;;;:::999888777777777:::888666777999:::;;;;;;<<<:::999777777888999:::888888888888888999===@@@AAABBBFFFKKKSSSZZZ```cccjjjpppxxx~~~yyysssnnnhhhdddZZZXXXSSSOOOJJJGGGEEEDDDCCCCCCBBBAAAAAAAAABBBBBBCCCCCCBBBAAA???>>><<<<<<===<<<::::::;;;;;;:::888<<<;;;;;;???EEEMMMTTTWWW[[[YYYVVVRRRNNNJJJFFFDDDCCCCCCAAA@@@>>><<<;;;:::999999:::<<<>>>AAACCCDDDFFFHHHJJJLLLLLLJJJHHHFFF@@@>>>:::777555444555555555444333222111111111111111111111111111222222333222333666888;;;@@@GGGKKKSSSVVV[[[```dddhhhmmmppppppqqqsssuuuxxxzzz|||}}}||||||||||||}}}}}}}}}}}}zzzzzzyyyyyyyyyzzzzzz{{{rrrtttssspppjjjggggggiiippp}}}rrrbbbYYYMMMDDD@@@>>><<<:::;;;===CCCLLLTTTZZZ\\\]]]^^^ZZZUUUQQQOOOPPPSSSUUUXXXWWWVVVTTTSSSRRRQQQPPPQQQPPPOOOPPPSSSWWW\\\___aaadddfffhhhhhhiiikkklllnnnpppssswww}}}~~~zzzxxxvvvuuusssrrrpppoooooooookkklllmmmmmmmmmooorrrtttzzz|||wwwrrrlllfffcccaaa```aaacccdddeeeeeeeeedddbbb^^^YYYWWWWWWYYY[[[\\\ZZZQQQGGG@@@<<<;;;???EEEIIIOOOTTTVVVVVVTTTLLLCCC777444000......///......------------------------...//////000111333444555777888:::<<<>>>BBBGGGKKKVVVeee|||~~~zzz|||xxxvvvvvvuuuvvvyyywww}}}xxxmmm^^^SSSIIIIIIIIIMMMVVVfffwww{{{tttooollliiihhhhhhggggggffffffeeeiiiiiiiiiiiijjjjjjjjjjjjjjjjjjjjjjjjiiihhhggggggggggggffffffeeeffffffffffffgggggghhhiiijjjkkkkkklllmmmnnnooopppqqqrrrsssrrrwww}}}yyyttttttxxxzzzzzztttnnngggbbb]]]YYYTTTOOOKKKGGGDDDAAAAAA@@@???===<<<;;;::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<===>>>?????????AAAEEEHHHHHHIIILLLOOOQQQRRRRRRRRRRRRPPPMMMLLLLLLLLLKKKJJJFFFCCCAAABBBDDDHHHPPPYYYiiittt}}}uuullleeeaaacccfffjjjpppwww|||uuurrrppplllhhhfffaaaYYYRRRLLLHHHCCCAAA;;;;;;;;;::::::::::::999;;;999888888:::<<<===<<<;;;:::999888777888999999888999999999999;;;???BBBEEEFFFIIIMMMTTT[[[aaadddlllsss~~~yyyrrrllleee___ZZZRRRQQQNNNKKKIIIHHHHHHHHHHHHHHHGGGFFFFFFFFFFFFFFFFFFEEEDDDCCCAAA@@@??????===;;;::::::;;;:::777555;;;;;;===AAAHHHQQQYYY^^^bbb```]]]YYYTTTNNNIIIGGGGGGFFFEEEBBB@@@>>><<<;;;999999999:::;;;===>>>???AAACCCEEEGGGHHHGGGFFFEEE@@@>>>;;;888666555666666555444333222111111111111111111111111111222333333444555777999===CCCJJJPPPVVVZZZ___cccgggjjjnnnqqqqqqrrrssstttvvvxxxyyyyyy||||||||||||}}}}}}~~~~~~yyyyyyyyyzzzzzz{{{}}}}}}rrrssssssqqqlllhhhffffffiiittttttddd\\\QQQGGGAAA>>>;;;:::999<<>>DDDJJJPPPTTTVVVVVVSSSKKKBBB777444000......///......------------------------...//////000111333444555777888:::<<>>>>>>>>======<<<<<<<<<===============>>>>>>??????@@@@@@???AAABBBAAAAAABBBEEEGGGIIIJJJLLLOOOPPPQQQQQQQQQQQQPPPPPPQQQSSSSSSRRRPPPIIIEEEBBBBBBDDDHHHQQQZZZjjjvvvzzzppphhhbbbccceeeggglllqqqzzzyyypppkkkgggccc```^^^ZZZTTTOOOKKKHHHDDDBBB>>>>>>>>>>>>>>>>>>======<<<:::999999;;;=========<<<;;;:::999888888888999888999999::::::===AAADDDFFFHHHKKKNNNSSSYYY```dddllluuu}}}|||wwwqqqjjjccc]]]VVVRRRNNNMMMLLLKKKLLLLLLNNNNNNQQQPPPOOONNNNNNMMMMMMNNNJJJIIIHHHFFFEEECCCBBBBBB>>>===<<<======<<<999777;;;<<<>>>BBBHHHPPPYYY___eeeeeeddd```ZZZSSSOOOLLLKKKIIIGGGEEEBBB???===<<<999999888888888999999:::999:::<<<>>>????????????>>><<<:::777666555555666444444333222111111111111111111111111222333333444555777888;;;???FFFNNNSSSYYY\\\aaafffiiillloooqqqqqqrrrssssssuuuuuuvvvwww{{{{{{{{{|||}}}}}}~~~~~~{{{{{{{{{{{{{{{|||}}}}}}qqqrrrrrrpppmmmiiifffeeeggglllsssxxx||||||wwwqqqddd]]]TTTJJJCCC>>>;;;999888:::???GGGQQQYYY^^^``````]]]WWWRRROOOOOOQQQRRRSSSTTTUUUVVVUUUSSSPPPNNNKKKJJJHHHIIILLLQQQWWWZZZ___bbbgggjjjkkklllnnnooommmooorrrvvv|||yyyvvvrrrrrrrrrrrrrrrpppooonnnkkkmmmnnnnnnoooqqqtttwww{{{}}}zzzuuunnniiidddbbb``````aaaccceeeffffffffffffaaa]]]XXXVVVWWWYYY[[[[[[XXXNNNEEE???;;;:::>>>DDDKKKPPPTTTUUUUUURRRJJJAAA777444000......///......------------------------...//////000111333444555666888:::<<<>>>CCCHHHLLLYYYjjjwwwooolllooouuuvvvsssrrrooonnnppplllooottt|||wwwgggZZZKKKIIIHHHMMM[[[mmmzzzsssnnnkkkhhhhhhhhhhhhhhhggggggggghhhhhhggggggggggggggggggiiiiiiiiihhhgggfffeeedddfffffffffffffffggghhhiiihhhhhhiiiiiijjjjjjkkkkkkkkkkkklllmmmooopppqqqrrrpppvvv}}}xxxooojjjjjjnnnqqq{{{}}}~~~|||{{{zzzyyyyyyyyyzzzzzz{{{}}}~~~|||zzzvvvpppllleeeaaa[[[VVVRRROOOKKKIIIGGGFFFEEECCCAAAAAA@@@@@@AAA@@@????????????@@@@@@AAAAAABBBBBBCCCDDDEEEEEECCCDDDEEEEEECCCCCCEEEGGGJJJKKKMMMPPPQQQRRRQQQQQQQQQQQQSSSVVVXXXYYYWWWUUUNNNHHHDDDDDDEEEIIISSS]]]kkkwwwuuummmfffeeeeeefffjjjooovvvxxxnnngggbbb^^^[[[XXXUUUPPPMMMJJJHHHEEECCCBBBBBBCCCCCCBBBAAA@@@??????===::::::;;;======<<<===<<<;;;::::::999999999777888::::::<<>><<<===???AAAEEELLLUUU[[[dddfffgggddd^^^XXXTTTRRRLLLKKKIIIFFFCCC@@@>>>===999999888777666666666777444555666777888::::::;;;;;;:::888666555444444555444444333222111111111111111111111111222333444555666777:::===BBBIIIQQQWWW[[[___dddhhhjjjllloooppprrrrrrrrrsssttttttuuuuuuyyyzzzzzz{{{||||||}}}}}}~~~}}}|||{{{{{{{{{{{{{{{qqqqqqpppnnnkkkhhheeecccdddeeegggjjjlllnnnllliii___[[[SSSJJJCCC===:::999777888===EEEPPP[[[cccgggfffbbb[[[UUUQQQPPPQQQRRRQQQSSSUUUVVVVVVTTTQQQOOOOOOMMMKKKJJJLLLQQQVVVZZZ___cccgggkkklllmmmnnnooonnnpppssswww|||xxxuuurrrrrrrrrrrrqqqpppnnnnnnlllmmmnnnooooooqqquuuxxx{{{~~~{{{uuunnnhhhdddaaa```___```bbbdddeeefffffffff```\\\WWWUUUUUUXXXYYYZZZUUULLLCCC>>>;;;:::???FFFKKKPPPUUUUUUUUURRRIII???777444000......///......------------------------...//////000111333444555666888:::<<>>============<<<>>>>>>======<<<;;;:::999888999;;;<<<>>>BBBFFFJJJIIILLLOOOQQQTTTZZZcccjjjpppvvv|||~~~|||zzzxxxuuuqqqnnneeeccc^^^[[[XXXTTTPPPMMMRRRSSSVVVZZZ___dddiiikkkjjjiiihhhfffeeeeeeeeeeee_________]]]YYYSSSNNNKKKFFFDDDAAA@@@@@@@@@???>>>===???AAABBBCCCIIIQQQWWWaaaeeehhhfff```ZZZVVVUUUKKKJJJHHHFFFCCC@@@>>>===::::::888777666666555555444444444555666888999:::888888777666555444444444555444333222111111111111111111111111222444555666666999===BBBGGGNNNUUUZZZ^^^aaafffjjjlllmmmoooppprrrrrrrrrsssttttttuuuuuuwwwxxxxxxyyyzzz{{{||||||~~~~~~|||{{{{{{zzzzzzzzzrrrqqqnnnkkkhhhddd```^^^^^^\\\\\\___aaabbbaaa```WWWTTTOOOHHHAAA===;;;;;;888999<<>>AAAEEEKKKOOO^^^pppyyypppiiifffiiinnnvvv~~~xxxwwwvvvppplllkkkggghhhllltttqqqeeeRRRMMMJJJOOO]]]ppp|||uuuooolllhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjiiiiiiiiihhhgggggghhhhhhhhhggggggfffeeeeeeeeefffgggiiijjjkkkiiiiiijjjjjjjjjjjjkkkkkkjjjjjjkkklllnnnooopppppprrrvvv{{{zzzppphhhbbbbbbccceeeiiijjjkkkiiieeeaaa^^^]]]WWWVVVUUUTTTTTTTTTUUUVVVWWW\\\cccjjjpppvvv~~~~~~zzztttpppjjjeeebbb^^^[[[XXXSSSRRRQQQOOONNNMMMLLLLLLNNNLLLKKKIIIIIIIIIKKKLLLMMMMMMNNNPPPQQQSSSTTTTTTQQQSSSSSSRRRPPPNNNNNNOOOOOOPPPSSSUUUWWWXXXXXXXXX\\\^^^bbbfffiiihhhddd```XXXQQQKKKIIIJJJNNNYYYdddqqq}}}yyytttqqqnnnooorrruuu}}}~~~qqqggg```[[[YYYVVVUUUTTTUUUVVVWWWVVVUUUXXXXXXWWWVVVSSSPPPLLLJJJHHHEEEBBB@@@@@@???>>>===@@@@@@??????===<<<;;;::::::;;;===???AAAEEEJJJNNNMMMQQQTTTVVVYYY___iiiqqquuuyyyxxxzzz~~~~~~zzzxxxuuurrrnnnjjjeeeaaa[[[YYYWWWVVVUUUTTTRRRPPPUUUWWW\\\ccckkkssszzz~~~}}}}}}{{{zzzyyyxxxxxxxxxrrrssssssqqqkkkccc[[[VVVNNNJJJEEEBBBAAA@@@???>>>@@@BBBDDDDDDDDDHHHQQQXXX___dddhhhggg```YYYUUUTTTJJJIIIGGGEEEBBB@@@>>>===;;;:::999888777666666666555444444333444666888999888888777777666666555555555444333222111111111111111111111222333444555666888<<>>777444000......//////...------------------------...//////000111333444555999;;;===???BBBGGGLLLPPPaaassswwwoooiiieeehhhmmmqqq|||~~~yyyyyyxxxrrrlllkkkeeefffiiirrrttthhhUUUPPPLLLPPP___rrr|||uuupppmmmhhhhhhhhhhhhhhhiiiiiiiiiiiihhhhhhhhhggggggfffffffffggghhhhhhhhhhhhhhhgggeeeeeeeeefffhhhiiikkkkkkjjjjjjjjjjjjjjjjjjkkkkkkiiijjjkkklllmmmooopppppprrrvvv{{{~~~|||vvvnnneee```___```aaa___``````]]]YYYTTTQQQPPPKKKJJJIIIIIIHHHIIIJJJKKKLLLSSS\\\dddllluuu~~~zzzvvvpppkkkgggddd```^^^[[[[[[YYYWWWVVVUUUUUUUUURRRQQQOOOMMMMMMNNNOOOPPPQQQRRRSSSUUUVVVXXXYYYYYYXXXYYYZZZXXXVVVTTTSSSSSSSSSUUUXXXZZZ]]]^^^^^^^^^eeegggkkkppprrrppplllggg[[[TTTMMMKKKKKKPPP[[[fffttt}}}xxxttttttwwwwwwvvvkkkccc^^^\\\ZZZZZZZZZ\\\```bbbbbbbbbccccccbbb```]]]YYYUUURRRLLLIIIEEECCCBBBAAA@@@>>>AAAAAA@@@@@@???===<<<;;;<<<===@@@AAADDDHHHMMMQQQQQQUUUYYY[[[]]]dddnnnvvvyyy|||~~~~~~~~~xxxyyy||||||zzztttrrrnnnjjjeee```YYYUUUUUUTTTSSSSSSTTTUUUTTTRRRVVVYYY```iiisss~~~vvvlllfff[[[VVVOOOJJJGGGFFFEEEDDDAAADDDFFFFFFFFFJJJSSSZZZ___dddhhhggg___WWWRRRQQQHHHHHHFFFDDDAAA???>>>===<<<;;;:::888777777777777555444222222222444666888888888888888777777777666555444333222111111111111111111111222333444666777999>>>EEEKKKQQQWWW\\\```cccggglllpppqqqqqqrrrsssqqqrrrsssssstttuuuvvvvvvtttuuuvvvwwwxxxyyyzzzzzzzzzzzzyyyzzzzzz{{{|||}}}xxxssskkkddd___[[[XXXVVVUUUSSSQQQQQQQQQPPPNNNLLLMMMJJJFFFBBB???===<<<<<<<<<<<>>>>>>>>>>>>>>>>>>>>>>>DDDHHHOOOXXXdddqqq~~~zzztttpppnnnmmmlllmmmmmmllljjjgggdddbbbcccbbb```___^^^^^^___```bbbbbbcccdddfffhhhiiijjjkkklllkkkhhhdddccceeehhhhhhhhhjjjkkkmmmooopppqqqttt{{{yyyooo^^^XXXRRRPPPPPPUUUcccpppwwwsssrrrqqqsssvvvyyy}}}~~~xxxqqqkkkhhh___ZZZTTTNNNLLLJJJIIIGGGGGGIIIJJJIIIFFFDDDDDDFFFGGGIIIJJJLLLNNNQQQVVVZZZ^^^bbbhhhooovvv~~~|||uuupppiiiccc[[[UUUQQQOOONNNMMMLLLNNNQQQTTTVVVXXXXXXXXXZZZ^^^eeemmmxxxxxxnnn```WWWTTTQQQNNNKKKJJJKKKKKKJJJJJJNNNTTTYYY]]]]]]\\\ZZZVVVPPPJJJGGGDDDCCCAAA@@@???>>>>>>>>>>>>===<<<;;;:::999999999666666777777777777777777999888777555555555555666666666444333222111111111000111333444555777:::===???DDDKKKSSSYYY^^^dddgggjjjllloooqqqssstttsssssssssssstttuuuvvvvvvvvvvvvssssssrrrrrrssstttvvvwwwzzzzzzzzzzzzzzzzzzzzzzzz{{{uuunnngggaaa\\\XXXUUURRRPPPMMMLLLLLLLLLJJJIIIDDDCCC@@@===;;;::::::::::::999<<>>@@@CCCDDDFFFMMMVVVfff{{{xxxtttrrrrrrrrrtttzzz|||wwwwwwuuunnnhhhfff```bbbgggpppzzzzzz{{{|||~~~xxxkkkZZZSSSOOOUUUbbbrrrzzztttqqqkkkjjjhhhggggggggghhhhhhgggggggggffffffeeeeeedddggggggggggggggghhhiiiiiiiiihhhhhhgggggggggggghhhhhhiiiiiijjjjjjjjjiiiiiikkkjjjjjjkkklllnnnpppqqqvvvyyy|||zzztttmmmggg^^^VVVQQQNNNLLLKKKGGGFFFCCCAAA??????>>>???;;;;;;;;;;;;;;;;;;;;;;;;>>>CCCKKKVVVcccrrr}}}yyyvvvtttvvvvvvwwwwwwuuussspppnnnnnnmmmllljjjjjjiiijjjjjjiiiiiihhhiiijjjmmmppprrrvvvvvvuuusssppppppqqqssstttttttttttttttuuuvvvvvvyyyyyyooo___YYYSSSQQQRRRZZZjjjxxx~~~}}}yyypppjjjbbb[[[VVVSSSPPPOOOQQQQQQQQQOOOMMMKKKLLLMMMOOOOOOPPPQQQSSSXXX^^^ccciiimmmttt|||zzzrrrlll```[[[TTTNNNJJJIIIHHHGGGJJJLLLOOOSSSVVVXXXYYYYYYYYY]]]dddlllwww}}}lllaaa[[[YYYUUURRRPPPPPPPPPNNNNNNPPPTTTXXXXXXWWWVVVTTTPPPKKKGGGDDD@@@@@@????????????@@@@@@===<<<;;;:::::::::::::::999:::::::::::::::999999<<<<<<:::999777666555444666555444333222111111111000222444555777:::>>>AAABBBGGGOOOVVV]]]bbbgggjjjlllmmmooorrrsssttttttttttttuuuvvvwwwwwwvvvuuutttsssrrrrrrrrrssstttuuuvvvwwwxxxxxxyyyyyyzzzzzz{{{{{{ssslllfffaaa\\\YYYVVVTTTQQQOOONNNNNNLLLKKKDDDCCCAAA???>>>===<<<<<<;;;:::;;;AAAIIIXXXnnnyyypppiiicccbbbbbbeeejjjnnnpppqqqgggeee```[[[XXXZZZ```dddeeehhhkkkllllllllllllmmmkkkmmmqqquuuzzz}}}yyywwwsssrrrpppnnnnnnnnnnnnooooooppprrrssstttvvvyyy{{{yyyqqqjjjeeebbb```___aaaeeeggggggeeebbb```YYYVVVSSSPPPPPPOOOMMMLLLJJJBBB<<<::::::;;;AAAHHHNNNRRRVVVVVVUUUQQQHHH???666333000////////////...------------......////////////000111333666999;;;@@@@@@BBBFFFGGGIIIQQQZZZiii}}}|||xxxvvvtttsssssszzz|||vvvvvvtttmmmhhhfffbbbdddjjjrrr{{{~~~wwwxxxxxxzzzyyynnn\\\TTTOOOUUUaaarrrzzztttoookkkjjjiiihhhggghhhiiiiiihhhhhhgggfffeeeeeeffffffhhhhhhgggggghhhhhhiiijjjiiiiiihhhggggggfffgggggghhhhhhiiiiiijjjjjjiiiiiijjjjjjjjjkkkmmmoooqqqssswwwzzz}}}{{{sssmmmgggaaaYYYSSSNNNKKKHHHFFFEEECCCAAA>>>===>>>???@@@======<<<<<<<<<<<<<<<;;;<<>>>>>>>>===>>>>>>??????===============>>>>>>???@@@@@@@@@@@@@@@>>>===<<<<<<<<<<<<;;;999777555444666555444333222222222222222333555666777;;;???CCCFFFKKKSSS[[[```eeeiiillllllnnnoooqqqssstttttttttuuuuuuwwwwwwwwwuuutttrrrsssssssssssstttuuuvvvvvvuuuvvvwwwxxxyyyzzz{{{{{{zzzsssmmmgggbbb^^^\\\YYYUUURRRQQQPPPNNNMMMEEEEEECCCAAA???>>>=========;;;<<>>===>>>???@@@>>>>>>>>>======<<<<<<<<<===AAAIIITTTbbbrrr~~~|||yyyxxxxxxwwwvvvvvvxxx{{{yyytttpppnnnmmmoootttyyyyyyxxxuuulllbbb[[[VVVRRRRRRWWWcccvvv|||uuupppkkkhhhgggddd```\\\ZZZYYYYYYYYY[[[[[[\\\]]]```fffmmmsss{{{|||qqqiii\\\WWWPPPKKKHHHHHHGGGGGGGGGIIILLLPPPSSSUUUVVVVVVYYY\\\```dddjjjqqqyyy~~~qqqiiidddaaa^^^^^^]]]ZZZXXXVVVTTTSSSRRRQQQPPPNNNKKKHHHFFFDDDBBB??????>>>=========>>>>>>AAAAAABBBCCCDDDFFFGGGHHHGGGGGGGGGFFFEEEBBB@@@>>>;;;;;;;;;;;;999888666666555555444333222222222222444555666777888<<<@@@DDDKKKPPPXXX___dddhhhkkkmmmmmmnnnoooqqqrrrssstttttttttuuuuuuvvvuuutttrrrqqqsssssstttuuuvvvvvvvvvvvvuuuuuuvvvwwwyyyzzz{{{{{{|||wwwqqqkkkhhhccc___ZZZVVVSSSRRRPPPOOOHHHGGGEEECCC@@@>>><<<;;;===<<<<<<>>>BBBJJJZZZiii||||||sssllliiidddcccdddhhhkkklllllljjjeee___[[[\\\```cccfffhhhlllmmmmmmmmmnnnooonnnppptttxxx~~~zzzwwwvvvrrrqqqooonnnnnnnnnoooppprrrssstttuuutttuuuxxxzzz{{{ssslllgggeeedddcccfffhhhjjjjjjgggcccaaaZZZWWWRRRPPPOOONNNNNNMMMHHHBBB<<<;;;;;;<<>>======>>>>>>>>>>>>======<<<;;;;;;;;;>>>BBBJJJUUUcccttt~~~~~~}}}~~~xxxqqqkkkhhhggghhhlllppppppooonnnggg^^^XXXTTTRRRUUU\\\hhh||||||vvvqqqjjjeeecccbbbaaa```dddeeegggiiilllrrryyy~~~wwwooo```[[[TTTNNNLLLKKKJJJJJJJJJLLLNNNQQQSSSTTTTTTTTTXXXZZZ\\\___bbbffflllpppxxx}}}|||tttooojjjgggfffddd```]]][[[XXXTTTQQQMMMKKKIIIFFFDDDBBBBBBAAAAAA@@@@@@@@@@@@@@@AAAAAAAAABBBCCCEEEHHHKKKMMMOOOPPPPPPPPPOOOLLLHHHDDDBBB======<<<;;;999888888777555444333333222222222333555666777888:::???DDDIIIQQQWWW^^^eeeiiikkkmmmnnnoooppppppqqqrrrttttttuuuuuuuuuttttttsssssssssssstttuuuvvvwwwxxxxxxxxxxxxuuuvvvvvvxxxyyyzzz{{{{{{zzzvvvkkkgggaaa[[[XXXVVVTTTRRRNNNMMMJJJGGGDDD@@@===;;;;;;:::;;;>>>@@@FFFSSS```tttxxxrrrmmmfffbbbbbbdddfffgggiiigggddd```]]]^^^aaadddeeehhhkkkmmmnnnooopppqqqpppsssvvv{{{}}}xxxuuutttqqqqqqooonnnnnnnnnooopppoooqqqsssttttttvvvyyy{{{|||tttmmmhhhfffeeeeeegggjjjkkkjjjgggdddaaa[[[WWWRRROOONNNOOOOOOOOOIIICCC>>><<<<<<<<>>EEEEEEHHHLLLOOORRR[[[dddrrr~~~zzzvvvsssqqqqqqxxx{{{{{{{{{wwwttttttrrrvvv}}}~~~zzzxxx|||~~~xxxnnn^^^UUUNNNRRR]]]mmm}}}vvvqqqpppooommmjjjiiihhhhhhhhhiiijjjkkkllllllkkkjjjiiigggffffffffffffggghhhhhhhhhgggggggggggghhhhhhiiiiiiiiijjjllllllmmmmmmlllkkkkkkkkkmmmooorrrtttvvvwwwzzz~~~xxxjjjaaa[[[\\\\\\[[[dddqqq|||xxxlllbbb[[[VVVSSSOOOMMMKKKHHHEEECCCBBBBBBAAA@@@??????>>>>>>???>>>>>>===<<<<<<;;;;;;>>>BBBJJJVVVeeewww{{{ssskkkfffcccaaa```dddffffffggggggbbb[[[VVVTTTSSSXXXaaannn{{{tttqqqpppooommmoooqqqtttwww{{{wwwhhhccc\\\VVVSSSRRRQQQQQQPPPQQQRRRTTTUUUUUUTTTTTTQQQRRRTTTVVVXXX[[[___bbbfffllltttyyy|||}}}xxxsssooonnnkkkfffccc```\\\VVVQQQMMMKKKHHHEEEDDDCCCCCCCCCBBBBBBBBBCCCDDDEEEGGGHHHDDDEEEHHHKKKOOOSSSWWWXXX^^^^^^]]][[[WWWRRRMMMJJJBBBAAA>>><<<:::888888888444444333222222222333333444666888:::>>>DDDKKKPPPYYY^^^eeekkknnnooopppqqqrrrssssssssstttvvvwwwwwwwwwvvvtttsssssssssuuuvvvuuuvvvxxxyyyzzzzzzyyyyyyvvvwwwwwwxxxyyyzzz{{{{{{sssnnngggaaa]]][[[XXXVVVSSSRRRPPPLLLHHHCCC@@@>>>888888:::===???DDDPPP]]]nnnzzzvvvppphhhbbb```bbbdddeeeeeedddbbb```^^^___bbbeeeeeehhhkkknnnooooooqqqrrrrrrtttxxx}}}|||wwwttttttqqqpppooonnnnnnoooooopppmmmoooqqqsssuuuwww{{{}}}|||tttmmmiiifffffffffhhhjjjlllkkkhhhdddaaa]]]YYYSSSPPPOOOQQQRRRSSSJJJDDD>>>===<<<<<>>HHHGGGJJJNNNPPPRRRZZZcccuuu{{{wwwuuusssqqqyyy~~~{{{yyyyyyzzz~~~|||yyy{{{}}}wwwnnn^^^TTTMMMQQQ\\\lllxxxsssqqqpppmmmkkkiiihhhgggggghhhiiikkkllllllkkkjjjhhhggggggggggggggghhhhhhiiiggggggfffgggggghhhiiijjjiiijjjkkklllmmmmmmmmmmmmmmmmmmmmmmmmoooqqqssstttvvvyyy~~~}}}rrrdddZZZUUUVVVUUURRRYYYfffkkk|||yyynnnccc[[[TTTQQQOOOMMMKKKIIIFFFDDDDDDDDDDDDDDDCCCAAA@@@???AAAAAA@@@???>>>>>>======>>>BBBJJJVVVfffyyy}}}vvvnnnfffaaa^^^]]][[[^^^______```bbb___YYYVVVTTTUUU[[[dddrrr~~~}}}{{{yyyxxxzzz~~~}}}pppkkkccc]]]ZZZYYYXXXWWWTTTUUUVVVWWWWWWVVVUUUTTTIIIJJJLLLMMMOOORRRVVVYYYVVV]]]eeekkkpppxxx|||wwwssssssoookkkgggddd___XXXRRROOOMMMJJJGGGFFFEEEFFFFFFCCCCCCDDDFFFHHHJJJLLLMMMNNNOOORRRVVV[[[```dddfffiiiiiihhheee```[[[UUURRRGGGEEEAAA===:::888888888444444333222222222333333444666888<<>>======>>>DDDKKKLLLQQQUUUUUUTTTPPPGGG>>>777444111/////////...---111000000/////////000000000//////111777===BBBEEEFFFKKKOOOQQQSSSXXXaaahhhwwwzzzwwwtttxxx{{{}}}~~~}}}~~~|||tttlll___WWWPPPSSS]]]kkk|||xxxtttssspppmmmkkkjjjiiigggeeeggghhhiiijjjjjjiiihhhgggeeeffffffggghhhiiiiiijjjeeeeeefffggghhhiiijjjjjjhhhiiijjjlllnnnooopppqqqpppqqqqqqppppppqqquuuxxxyyy|||xxxkkk\\\UUUPPPPPPPPPOOOPPPSSS]]]jjjzzz{{{pppddd[[[YYYVVVRRROOONNNNNNMMMLLLIIIGGGEEECCCBBBCCCDDDEEECCCBBBBBBAAA@@@???>>>>>>@@@BBBIIIVVVhhh}}}wwwuuuqqqlllgggbbb^^^\\\```aaabbbcccbbb```]]][[[TTTTTTWWW___kkkzzz}}}zzzvvvyyy|||ssslllgggccc___[[[VVVUUUUUUUUUTTTRRROOOLLLKKKKKKKKKKKKKKKKKKKKKKKKPPPPPPTTT[[[```hhhttt{{{wwwsssqqqnnnkkkfff___XXXSSSPPPOOONNNLLLLLLLLLMMMMMMKKKLLLMMMOOOPPPRRRSSSTTTZZZZZZ[[[]]]bbbiiirrrxxx{{{~~~zzzuuummmaaaVVVRRRHHH@@@>>>===999444333444444333333222222333333555777;;;@@@FFFNNNVVV\\\cccggglllppprrrssstttuuuuuuvvvwwwxxxyyyxxxxxxwwwxxxwwwwwwvvvvvvvvvvvvvvvuuuvvvvvvxxxyyyzzz{{{{{{vvvwwwyyyzzz{{{zzzzzzyyyssshhhbbb^^^[[[XXXVVVTTTPPPNNNKKKHHHCCC@@@===:::999:::<<>>======???EEELLLMMMRRRUUUUUUTTTPPPGGG>>>666444111/////////...---000000//////...//////000000//////222777>>>DDDGGGIIIMMMRRRTTTUUUZZZccckkk||||||zzz{{{~~~~~~}}}uuummm```WWWPPPRRR[[[hhhyyyzzzvvvrrrppplllkkkjjjiiigggeeefffggghhhiiiiiiiiihhhgggffffffgggggghhhhhhiiiiiieeeeeefffggghhhiiijjjjjjjjjjjjlllmmmoooqqqrrrrrrpppqqqqqqqqqqqqsssvvvyyy|||tttgggYYYSSSMMMMMMMMMKKKMMMPPPVVVaaammmwwwuuuiii___[[[XXXUUUSSSSSSSSSRRRRRRLLLKKKIIIGGGEEEDDDCCCCCCDDDCCCBBBAAA@@@@@@??????AAADDDKKKXXXjjj|||wwwvvvsssooojjjgggdddbbbffffffggggggeeeaaa^^^\\\YYYZZZ]]]dddooo}}}{{{vvvqqqppptttxxx}}}}}}uuuooojjjeeeaaa[[[YYYVVVSSSRRROOOLLLIIIIIIIIIHHHHHHHHHGGGGGGGGGFFFFFFIIIOOOUUU[[[hhhsssyyyvvvrrrmmmhhhaaaZZZUUUSSSSSSRRRQQQQQQQQQRRRSSSUUUVVVWWWYYY[[[\\\]]]^^^aaabbbdddhhhmmmvvvyyykkk^^^UUUKKKBBB???>>>:::666555666555444444444444555555666999>>>CCCIIIQQQZZZ___fffiiinnnrrrsssttttttuuuuuuvvvxxxyyyzzzzzzyyyyyyyyyyyywwwvvvuuuuuuttttttvvvvvvwwwxxxyyyzzz{{{{{{wwwxxxyyyzzz{{{{{{zzzzzzzzzmmmeee```\\\YYYWWWUUUQQQNNNKKKGGGCCC@@@===:::999999:::>>>IIITTTbbbrrrzzzsssllleee___ZZZVVVUUUWWWZZZ\\\]]]___aaadddeeeiiimmmoooqqqrrrsssuuuvvvzzzyyytttpppnnnooonnnmmmlllkkklllmmmmmmnnnoooqqqrrrsssuuuxxx{{{|||tttmmmiiihhheeeiiilllkkkjjjiiieee```ZZZUUUPPPMMMOOOQQQQQQPPPKKKDDD>>>===>>>@@@FFFMMMNNNSSSVVVUUUTTTPPPGGG===666333000/////////...---//////............//////000000111333888???FFFJJJLLLQQQUUUWWWYYY^^^gggnnn~~~vvvnnnbbbYYYRRRRRRXXXddduuu{{{wwwqqqooollljjjjjjiiigggeeeffffffggghhhiiiiiihhhhhhgggggggggggghhhhhhhhhhhheeefffgggggghhhiiijjjjjjkkklllmmmoooppprrrssstttooopppqqqqqqrrrtttxxx|||sssfffYYYRRRLLLKKKKKKIIIJJJMMMNNNVVV^^^eeeppprrrhhhccc```]]]\\\]]]^^^^^^^^^XXXWWWTTTQQQMMMIIIFFFDDDFFFEEEDDDCCCBBBAAAAAAAAACCCFFFNNN[[[nnn|||zzzyyyxxxvvvtttqqqooommmlllnnnnnnmmmkkkhhhddd```^^^___```ccciiirrr||||||uuummmiiijjjlllpppvvv}}}{{{tttmmmhhh```\\\VVVPPPMMMJJJHHHFFFFFFFFFEEEDDDCCCBBBBBBAAABBBAAACCCIIINNNTTT```lllzzzyyytttnnnggg```\\\YYYXXXXXXXXXXXXZZZ[[[\\\___```bbbcccfffgggiiijjjkkkmmmpppuuu|||wwwiiiZZZOOODDDAAA???;;;777777777666555555555666777888999<<>>>>>???AAAHHHOOOPPPTTTVVVUUUSSSPPPGGG===666333000////////////.....................///000000111222444999@@@HHHNNNPPPTTTYYY[[[\\\bbbkkkrrr}}}wwwpppeee\\\TTTRRRWWWbbbsss{{{wwwpppnnnkkkjjjjjjiiihhhfffeeeffffffggghhhhhhhhhhhhhhhhhhhhhhhhggggggggggggfffgggggghhhiiiiiijjjjjjkkklllmmmoooppprrrssstttoooqqqrrrrrrsssvvv{{{~~~uuuhhh\\\UUUNNNMMMKKKHHHIIIKKKJJJOOOUUUYYYbbbsssuuuooommmjjjjjjlllnnnnnnnnnkkkhhhccc\\\UUUPPPLLLKKKJJJIIIGGGEEECCCBBBBBBBBBCCCGGGPPP^^^rrr~~~|||}}}||||||{{{zzzyyyxxxwwwvvvuuutttqqqmmmiiieeebbbaaacccfffkkkqqqxxx}}}yyypppiiieeefffhhhmmmuuu~~~~~~tttmmmccc]]]TTTMMMHHHFFFEEEDDDEEEDDDCCCBBB@@@???>>>>>>AAA@@@BBBFFFKKKQQQ]]]iiiwww{{{uuuoooiiifff____________```bbbdddeeeeeefffhhhkkknnnqqqssstttwwwxxx{{{tttaaaTTTHHHBBB???;;;888888777666555555555777888:::;;;???FFFMMMTTT[[[ccchhhkkknnnrrrtttttttttuuuvvvtttuuuxxxzzz|||}}}}}}}}}}}}}}}}}}||||||{{{zzzzzzxxxxxxxxxyyyzzz{{{{{{{{{yyyzzz{{{|||}}}}}}~~~~~~uuujjjccc]]]YYYVVVTTTPPPMMMJJJGGGBBB???===;;;999::::::===FFFPPP```ooo{{{tttlllcccZZZTTTQQQRRRSSSWWW[[[___cccdddfffhhhlllnnnppprrrtttvvvwww{{{|||uuuqqqnnnmmmmmmlllkkkjjjjjjkkklllmmmmmmnnnooopppqqquuuzzz}}}{{{sssmmmjjjdddiiikkkjjjjjjjjjfffaaaYYYUUUPPPOOOPPPQQQPPPOOOIIICCC>>>>>>@@@CCCJJJRRRRRRUUUWWWUUUSSSOOOFFF===555333000//////000///..................///000000111222333666:::BBBKKKRRRTTTXXX]]]___```fffnnnvvv~~~uuu{{{yyyrrrggg___VVVSSSVVVaaasssyyyuuupppnnnkkkjjjkkkjjjiiihhheeeeeefffffffffgggggghhhhhhhhhhhhhhhgggggggggggggggggghhhhhhiiiiiijjjjjjkkkkkkmmmnnnppprrrsssssspppqqqssstttuuuxxx}}}zzzmmmaaaYYYRRROOOLLLHHHHHHJJJGGGKKKPPPTTTZZZgggzzz|||zzzzzz|||~~~{{{rrrhhh^^^XXXTTTRRROOOMMMJJJGGGEEEDDDCCCCCCCCCGGGQQQaaauuu|||yyytttoookkkiiicccdddfffiiimmmqqqtttuuu{{{~~~wwwmmmeeecccaaaeeelllsss{{{zzzqqqddd]]]SSSJJJFFFEEEEEEEEEEEEDDDCCCAAA???>>>===<<<===<<<===AAAEEELLLYYYdddsss}}}wwwrrrnnnffffffffffffggghhhjjjkkklllmmmppprrrvvvyyy{{{|||~~~hhhZZZKKKCCC???:::888888666555444444555777999;;;===BBBJJJQQQXXX___fffjjjlllooorrrssssssssstttvvvsssuuuxxxzzz|||}}}~~~~~~zzzzzz|||}}}}}}}}}}}}}}}yyyyyyyyyzzz{{{{{{{{{|||{{{{{{{{{|||}}}vvvkkkccc\\\XXXTTTRRRNNNLLLJJJFFFBBB???===;;;;;;======>>>EEENNN]]]lll}}}}}}vvvnnneee\\\VVVRRRRRRSSSVVV\\\aaadddeeefffhhhkkkmmmnnnpppsssuuuuuuyyy|||uuuqqqnnnmmmlllkkkjjjiiijjjkkklllmmmmmmnnnoooppprrrvvv{{{|||ssslllhhhccchhhkkkjjjjjjjjjfffaaa[[[WWWRRRPPPQQQRRRPPPNNNIIIBBB>>>???AAADDDLLLTTTSSSWWWXXXUUUSSSOOOFFF===555222000//////000000/////////...//////000111222111333555777;;;CCCNNNVVVYYY]]]bbbdddeeejjjsss{{{}}}yyyyyypppwww~~~zzztttggg___WWWTTTVVV```sssyyytttpppnnnllllllllllllkkkjjjgggfffeeeeeeeeeeeeffffffgggggggggggghhhhhhhhhhhhhhhhhhhhhiiiiiiiiijjjjjjkkklllmmmnnnppprrrssstttrrrssstttuuuvvvyyy~~~uuuiiiaaaXXXTTTOOOJJJHHHJJJHHHHHHLLLQQQUUU]]]kkkxxxxxxlllbbb\\\YYYTTTRRRNNNIIIFFFDDDDDDDDDCCCHHHSSSdddyyy}}}wwwqqqmmmjjjaaaaaabbbccceeegggiiiiiiooorrrvvvyyy{{{~~~|||pppeee___[[[\\\bbbggglllyyyxxxggg___TTTKKKGGGFFFFFFGGGDDDCCCBBBAAA???>>>===<<<===;;;<<<@@@EEELLLYYYeeeoooyyyuuuooonnnmmmlllmmmmmmoooppprrrsssuuuvvvxxxzzz||||||zzz|||rrrbbbPPPFFF@@@;;;888888777555444444555888;;;===AAAGGGOOOVVV]]]ccciiilllmmmooorrrsssssstttuuuwwwuuuwwwyyy|||}}}~~~vvvxxxzzz|||}}}~~~}}}}}}zzzzzzzzz{{{{{{{{{|||||||||||||||}}}~~~uuulllccc\\\VVVQQQOOOLLLJJJIIIFFFBBB???<<<<<<===@@@??????DDDLLLYYYgggxxxxxxpppggg^^^XXXUUUSSSSSSWWW]]]bbbeeeffffffhhhjjjllllllnnnqqqtttrrruuu{{{|||uuuqqqnnnmmmkkkjjjiiiiiiiiijjjlllmmmmmmnnnoooppprrrwww}}}yyypppiiifffccchhhkkkjjjjjjjjjgggaaa]]]YYYTTTRRRRRRRRRPPPMMMHHHBBB>>>???AAAEEEMMMUUUUUUXXXXXXUUURRRNNNFFF===444222000//////000000////////////000000111333333111333666888<<>>===<<>>BBBFFFNNN[[[hhhttt}}}wwwvvvtttsssrrrrrrrrrsssqqqqqqqqqqqqppppppppppppkkkmmmqqqwww{{{jjjVVVJJJBBB<<<999999888777555555666999===???FFFKKKTTT\\\bbbggglllooonnnpppsssttttttvvvxxxzzzyyyzzz|||~~~yyyzzz}}}~~~{{{{{{{{{{{{||||||||||||}}}}}}}}}~~~uuulllccc[[[UUUOOOMMMKKKIIIHHHEEEBBB???<<<<<>>???BBBFFFNNNVVVUUUXXXXXXUUURRRNNNFFF===444222//////000000000///000000000000111222333444111444777888<<>>======<<<===;;;;;;@@@DDDLLLZZZggg}}}|||{{{yyyvvvuuutttttttttlllkkkiiigggeeecccaaa```[[[^^^dddlllvvvoooZZZMMMDDD>>>:::;;;999888666666888;;;???AAAIIIOOOWWW___eeejjjnnnpppoooqqqtttuuuvvvwwwzzz|||{{{}}}~~~{{{{{{{{{|||||||||||||||~~~}}}}}}~~~~~~uuukkkbbbZZZVVVSSSOOOKKKGGGFFFDDDBBBAAA;;;;;;;;;;;;===@@@FFFJJJSSS```ppp~~~xxxqqqjjjaaa[[[VVVVVVYYY]]]dddhhhkkkkkkhhhhhhiiijjjlllmmmnnnnnnpppssswww||||||uuuqqqnnnkkkhhhhhhgggggggggiiijjjkkkkkklllnnnoooqqqvvv{{{zzzppphhheeeeeehhhiiilllmmmllljjjgggeee]]]XXXTTTRRRRRRRRRPPPMMMEEE@@@;;;:::???HHHQQQVVVXXXWWWVVVVVVSSSKKK@@@888555333111000.........///000000000000000111111111333555777888;;;FFFVVVbbbgggkkkpppsssvvvzzz}}}yyywwwrrrnnnmmmooooooooossszzz~~~vvvhhh]]]TTTSSSUUU]]]ppp{{{tttoooooopppppppppnnnlllkkkhhhggggggfffeeeddddddddddddeeeggghhhiiiiiihhhhhhiiijjjkkklllllllllkkkkkknnnnnnooopppqqqssstttuuussssssssstttvvvxxx{{{|||{{{oooeee^^^YYYVVVNNNNNNNNNMMMOOOTTT[[[```ppp|||llldddZZZQQQMMMKKKGGGEEEFFFIIIOOO[[[pppyyytttoooiiieee___```___]]]ZZZXXXXXXYYYbbbiiiwwwyyynnnccc[[[TTTPPPMMMHHHHHHGGGEEEEEEDDDDDDDDDGGGGGGHHHIIIKKKNNNOOOQQQXXX\\\aaaffflllssszzz~~~vvvkkk\\\VVVQQQQQQUUU\\\iiiuuu}}}zzzyyy}}}qqqbbbYYYUUURRRMMMHHHGGGEEECCC@@@>>>=========@@@???@@@CCCFFFNNN]]]lll|||xxxxxxvvvpppkkkgggccc]]]YYYVVVUUUSSSRRRRRRUUUZZZaaalllzzzsss```PPPGGGAAA<<<999999999999888999<<>>>>>???>>>@@@DDDHHHPPP```nnn{{{xxxsssmmmggg___[[[UUUQQQNNNMMMKKKJJJIIILLLQQQZZZfffuuutttaaaRRRHHHBBB===999::::::999999:::???FFFKKKSSSXXX```gggllloooqqqsssuuuvvvvvvxxxyyyzzz{{{{{{~~~~~~}}}|||{{{{{{|||}}}~~~~~~~~~~~~~~~zzzsssjjjbbb[[[XXXSSSQQQNNNLLLIIIFFFBBB???>>>>>>>>>======???CCCGGGMMMXXXggguuu|||vvvpppkkkddd___VVVWWWYYY]]]cccgggjjjjjjhhhiiijjjkkkmmmoooqqqrrrrrruuuzzz{{{uuurrrooolllhhhhhhgggffffffggghhhiiilllmmmnnnppprrrwww}}}|||uuummmgggeeefffiiijjjkkkkkkiiieeeaaa^^^\\\XXXSSSRRRRRRQQQNNNKKKGGGBBB======CCCLLLUUU[[[^^^\\\YYYVVVPPPHHH???888444333111///........./////////000000111111111111222444666777<<>><<<<<<<<<;;;:::999999999999999999:::;;;===>>>@@@AAAAAACCCFFFHHHJJJNNNRRRVVVdddmmm{{{wwwlll___XXXSSSTTTXXX___iiisss~~~|||xxxyyyyyymmmeee___XXXRRRLLLJJJGGGEEEBBBAAAAAAAAA>>>>>>@@@EEEIIIRRRaaappp~~~xxxqqqhhhbbbXXXTTTNNNIIIGGGEEEDDDCCCAAADDDJJJSSS___ooo~~~uuudddTTTIIIBBB===999;;;;;;::::::===CCCLLLRRRYYY^^^eeekkknnnqqqssstttxxxxxxyyyyyyzzz{{{{{{{{{~~~}}}|||{{{{{{{{{||||||}}}|||}}}~~~~~~yyyssskkkccc]]]ZZZUUUSSSQQQNNNLLLHHHCCC???@@@@@@@@@>>>===>>>BBBDDDHHHSSSaaannn|||zzzsssnnnjjjeeeaaaWWWWWWYYY]]]bbbgggiiiiiihhhiiijjjkkknnnqqqsssuuuwww{{{{{{uuurrrooommmiiihhhgggfffffffffggghhhkkkmmmnnnpppssswww}}}~~~{{{tttkkkeeecccdddggghhhjjjjjjiiieeeaaa___[[[XXXSSSRRRRRRQQQMMMJJJGGGCCC>>>>>>DDDNNNXXX^^^aaa___\\\VVVOOOFFF>>>888333222000///......////////////000000111111222222222444666888>>>KKK\\\jjjsssxxx}}}|||yyyqqqppprrrpppoooooojjjkkkmmmrrrxxxyyylllaaa\\\ZZZ^^^ooo~~~uuupppnnnmmmkkkiiiiiiiiijjjjjjjjjjjjjjjiiiiiihhhhhhhhhggghhhhhhiiijjjjjjkkkkkkjjjiiigggffffffhhhjjjkkkllllllmmmnnnoooqqqrrrsssuuuuuutttuuuvvvwwwyyyzzz|||}}}uuurrrmmmgggcccbbbdddggglllyyypppcccVVVOOOLLLJJJKKKMMMOOOXXXiii~~~xxxmmmeee```^^^[[[XXXWWWWWWVVVTTTPPPNNNNNNOOOSSS[[[hhhxxx|||xxxtttmmmeee___UUUPPPIIICCC@@@>>><<<:::888888777666666666666666777777888999:::;;;===>>>:::<<<===???@@@CCCGGGJJJVVV```nnn|||wwwlll___YYYTTTWWW\\\cccmmmuuu}}}|||}}}~~~|||rrrhhh___XXXOOONNNKKKHHHEEEDDDCCCCCC@@@@@@BBBGGGKKKSSSbbbpppyyyoooeee^^^VVVQQQLLLGGGEEECCCBBBAAA???BBBGGGPPP[[[kkkzzzuuueeeVVVJJJCCC===:::;;;;;;;;;<<<@@@HHHRRRXXXaaaeeejjjnnnqqqrrrtttuuuxxxyyyyyy{{{|||}}}~~~~~~~~~~~~~~~}}}}}}}}}}}}~~~~~~~~~~~~zzztttmmmfffaaa^^^XXXVVVSSSPPPMMMIIIDDD@@@AAABBBAAA???>>>>>>@@@CCCEEEOOO\\\ggguuuvvvoookkkgggccc```WWWXXXYYY]]]bbbfffgggggghhhhhhiiikkknnnrrruuuwww}}}{{{vvvssspppnnnjjjiiihhhgggffffffggghhhkkklllnnnppprrrwww~~~|||sssiiicccaaabbbdddfffhhhjjjjjjhhheeeccc\\\XXXTTTSSSSSSQQQMMMIIIFFFBBB>>>>>>EEEPPPZZZ___bbbaaa^^^XXXOOOEEE===888222111000.........//////...//////000111111222222222444666999@@@NNNaaaooowww|||zzzwwwyyy~~~yyyqqqqqqssssssrrrrrroooppprrruuu{{{tttggg```]]]___nnn|||tttnnnmmmllljjjhhhhhhhhhiiiiiihhhhhhhhhhhhhhhhhhgggggghhhhhhhhhiiiiiijjjkkkkkkiiihhhgggffffffhhhjjjkkkkkkkkklllmmmnnnpppqqqrrrttttttttttttvvvxxxzzz{{{||||||uuupppooooooooozzzuuuhhhZZZSSSOOOMMMNNNQQQSSS]]]pppyyynnnfffbbb___\\\ZZZWWWWWWVVVSSSOOOMMMMMMNNNRRRYYYfffuuu{{{xxxtttpppjjjfffccc^^^WWWRRRKKKGGGBBB???===<<<;;;:::777777666555555555666666777777777777888999:::;;;666888::::::<<<>>>BBBEEEKKKTTTbbbnnn{{{xxxmmm```YYYVVVZZZaaaiiiqqqyyytttggg___UUUSSSOOOLLLHHHFFFEEEDDDCCCCCCFFFJJJNNNUUUcccqqq|||qqqfff^^^VVVQQQLLLGGGEEECCCBBBAAA@@@BBBGGGNNNXXXfffttt~~~}}}|||||||||}}}{{{rrrdddVVVKKKCCC>>><<<:::;;;<<>>@@@BBBDDDMMMWWWbbbooo~~~|||rrrjjjfffccc```]]]XXXXXXYYY]]]aaaeeeffffffgggggghhhjjjmmmrrrvvvyyy}}}wwwtttqqqnnnlllkkkiiihhhggggggggghhhiiikkkmmmooorrrwww}}}}}}tttjjjcccaaabbbbbbeeehhhkkklllkkkiiiggg\\\YYYVVVTTTTTTRRRMMMIIIDDD@@@<<<===DDDPPPZZZ```bbbbbb```ZZZPPPEEE===888111000///.........//////......///000111222222333333555777:::BBBQQQeeettt|||}}}wwwsssuuuyyy{{{ssssssvvvuuuttttttttttttuuuxxx}}}zzzlllddd___```nnn{{{sssmmmkkkkkkjjjiiihhhhhhhhhhhhgggggggggggggggggggggggghhhhhhggghhhhhhiiikkkkkkiiihhhggggggggghhhjjjjjjjjjjjjkkklllmmmooopppqqqssssssssstttvvvxxx{{{|||}}}}}}xxxvvvttt}}}zzzmmm___XXXTTTQQQQQQTTTXXXdddwwwyyyooohhhdddaaa^^^[[[WWWWWWVVVSSSOOOMMMMMMMMMOOOWWWdddsss}}}yyyvvvrrrnnnjjjccc___ZZZVVVTTTQQQLLLHHHBBB???;;;999999999999888666666555555555555666666444444444444444555666777444555777777888:::>>>@@@@@@IIIUUU```lll}}}xxxoooccc\\\YYY^^^fffmmmuuu{{{rrrhhh]]]ZZZVVVQQQMMMJJJHHHGGGGGGGGGJJJOOOSSSZZZiiivvvvvviii___UUUQQQKKKGGGDDDCCCAAA@@@@@@BBBFFFKKKUUUbbboooxxx{{{zzzxxxwwwvvvvvvvvvwwwtttmmmbbbUUUJJJCCC???===;;;===@@@DDDJJJRRR\\\bbbjjjmmmppprrrssstttuuuwwwvvvwwwyyy{{{~~~|||uuunnniiifff^^^[[[VVVQQQNNNJJJFFFCCCAAABBBBBBAAA??????@@@BBBDDDKKKUUU^^^kkkyyyyyynnnfffbbb___\\\ZZZXXXXXXYYY]]]aaadddeeeeeefffffffffiiimmmrrrwwwzzz~~~xxxtttqqqooonnnmmmkkkiiihhhggghhhhhhhhhiiikkknnnqqqvvv|||}}}tttkkkeeedddfffdddfffiiimmmnnnmmmkkkjjj]]]ZZZWWWVVVUUUSSSNNNIIIAAA>>>:::<<>>EEEIIIQQQ```wwwyyypppmmmeee```eeelllqqqtttxxx}}}yyykkkhhhbbb\\\VVVRRRNNNMMMJJJLLLQQQYYY```iiixxxnnncccXXXSSSNNNIIIGGGEEEDDDCCCAAACCCGGGMMMVVVcccqqqyyy{{{zzzxxxvvvsssqqqooonnnhhhddd\\\RRRIIICCC@@@@@@???BBBHHHNNNUUU\\\ccchhhkkknnnppprrrssstttuuuwwwxxxyyyzzz|||}}}~~~yyytttnnnkkkiiicccZZZSSSNNNKKKHHHFFFCCCBBBAAA???>>>===<<<<<>><<<::::::333333333333333333333333444444444444444444444444555333111222444555333111555555555777888777555222666888<<>>=========AAAEEEMMMVVV```iiippptttuuuooofff\\\TTTPPPNNNNNNOOOQQQVVV[[[___aaaccccccbbbcccdddeeegggkkkqqquuuxxx~~~yyyuuuqqqooommmmmmkkkjjjiiihhhhhhhhhhhhiiikkklllooouuu{{{}}}vvvoookkkjjjkkkjjjjjjkkklllmmmjjjeeebbb]]][[[YYYXXXXXXSSSLLLFFFAAA>>><<<>>>CCCMMMWWW^^^ccccccaaaZZZOOODDD;;;777111111000///////////////000000000000000111111222666666888===FFFVVVnnn|||~~~}}}yyywwwuuusssuuu|||uuullldddbbbjjjtttxxxpppllliiiiiiiiiiiihhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiggggggffffffffffffggggggjjjjjjjjjjjjjjjjjjjjjjjjiiijjjkkkkkkmmmmmmnnnooooooqqqssstttuuuwwwzzz|||}}}nnneee```]]]^^^bbbooovvvoookkkfffcccdddeeefffddd```[[[XXXWWWZZZ___gggoootttuuutttrrrooonnnllljjjgggdddbbb```^^^YYYTTTOOOKKKHHHFFFDDD???>>>===;;;:::888777666444444444444444444444444444444444444444444444444444333111222444555333111777777777999::::::777555777888;;;???CCCNNNcccuuuzzzsssnnnlllnnnpppqqqrrrvvvzzz~~~{{{ooobbb]]]YYYUUURRRSSSQQQUUU]]]fffnnnzzzuuukkk```[[[SSSMMMJJJHHHGGGFFFDDDDDDHHHQQQ^^^lllvvv||||||xxxtttqqqmmmhhhddd^^^YYYRRRKKKFFFCCCCCCCCCGGGPPPZZZ```fffmmmqqqpppoooooopppqqqsssuuuvvvxxxwwwwwwxxxyyyzzz{{{||||||~~~~~~|||vvvsssmmmhhhbbb\\\WWWQQQLLLIIIFFFDDDAAA>>>======>>>???AAADDDJJJRRRZZZaaafffhhhlllggg___WWWPPPLLLKKKJJJLLLOOOTTTZZZ___bbbdddeeecccddddddeeefffjjjooosssvvv|||zzzwwwsssqqqmmmlllkkkjjjiiihhhhhhhhhiiijjjlllnnnqqqwww~~~yyyrrrnnnmmmnnnnnnmmmmmmmmmllliiiddd```]]][[[YYYYYYXXXTTTMMMGGGBBBAAA???@@@FFFNNNWWW\\\bbbbbb___XXXMMMBBB999555000000000000000//////...000000000000000111222222666666888>>>FFFWWWppp}}}~~~xxxwwwuuutttuuu{{{~~~tttkkkccc```fffnnn~~~vvvqqqnnniiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhffffffeeeeeeeeeeeeffffffiiiiiijjjjjjkkkllllllllljjjjjjkkklllmmmnnnnnnooopppqqqsssttttttvvvyyy{{{~~~rrrhhhbbb___bbbgggvvv|||tttoookkkiiijjjkkkkkkhhhccc]]]ZZZXXX\\\```fffllloooooonnnllliiihhhgggdddaaa]]]ZZZYYYUUUQQQLLLHHHEEECCC@@@>>>::::::999888777666555555555555555555555555555555444444444444444444444444444222111222333444333222777666777888:::999777555777888999<<<>>>FFFVVVfff~~~xxxtttuuuuuussstttwwwxxx|||tttggg```[[[VVVUUUVVVWWWZZZbbblllwwwzzzqqqeee```XXXRRRNNNKKKIIIHHHGGGHHHLLLVVVcccppp{{{~~~yyyuuuqqqlllgggcccZZZVVVOOOIIIDDDCCCDDDEEELLLVVVbbbiiioootttuuussspppppppppqqqrrrssstttuuuvvvvvvwwwxxxyyyzzzzzz{{{|||}}}~~~~~~~~~zzzvvvoookkkfffaaa[[[UUUOOOKKKGGGEEEAAA>>><<<===???@@@@@@CCCHHHNNNTTTYYY\\\^^^bbb___YYYSSSNNNJJJHHHGGGIIILLLRRRXXX^^^bbbeeefffeeeeeefffeeefffiiinnnqqqtttzzz{{{xxxuuurrrmmmlllkkkjjjiiiiiiiiiiiijjjkkkmmmooorrrxxxzzztttpppooopppoooooonnnnnnmmmjjjfffccc[[[ZZZYYYYYYYYYVVVPPPJJJDDDCCCBBBCCCHHHOOOVVVZZZ``````\\\UUUJJJ???777333...///000111111000///...000000000000111222333333555666999???GGGWWWrrr}}}~~~~~~yyyxxxvvvuuuvvv{{{}}}rrrhhh```]]]cccmmm}}}~~~vvvqqqoooiiiiiiiiiiiihhhhhhhhhgggggggggggggggggggggggggggffffffeeeeeeeeeeeeffffffggghhhhhhiiikkkllllllmmmjjjjjjkkklllmmmnnnoooooopppqqqsssssstttuuuwwwzzz{{{~~~tttjjjcccbbbfffmmm|||yyyssspppnnnnnnooonnnjjjddd^^^[[[ZZZ\\\___dddiiikkklllkkkiiifffeeeccc```\\\YYYVVVTTTOOOLLLHHHEEECCCAAA>>><<<::::::999999888888777777555555555555444444444444333333333333333333333333333222222222333333222222333333333444555666444222777666888:::;;;@@@MMMZZZqqq|||{{{yyyvvvuuuwwwwwwzzzxxxjjjaaa[[[VVVVVVXXX\\\___hhhssswwwiiiddd]]]VVVRRROOOLLLJJJOOOPPPUUU]]]iiiuuu}}}~~~zzzuuupppkkkeeeaaaWWWSSSMMMGGGDDDDDDEEEGGGNNNZZZgggoootttxxxvvvrrrrrrqqqqqqqqqqqqrrrssssssuuuuuuvvvwwwwwwxxxyyyyyyyyyzzz|||}}}~~~~~~~~~~~~~~~~~~{{{wwwqqqmmmhhhccc]]]WWWPPPKKKGGGDDDAAA===<<<===???@@@@@@BBBGGGLLLQQQTTTVVVWWW\\\ZZZVVVRRRMMMIIIFFFEEEFFFJJJPPPWWW]]]bbbeeefffdddddddddddddddgggkkknnnssszzz|||xxxuuurrrnnnmmmlllkkkjjjjjjjjjkkkjjjkkkmmmppptttzzz{{{tttqqqpppqqqqqqpppooonnnmmmiiiccc___XXXWWWWWWYYYZZZXXXSSSNNNDDDDDDDDDFFFJJJPPPUUUXXX]]]]]]YYYRRRGGG===666222...///000111111000///...000000000000111222333444555666:::???GGGXXXttt|||~~~{{{zzzyyyxxxxxx|||zzzmmmbbbYYYXXX```kkkzzz}}}uuuooollliiiiiiiiiiiihhhhhhhhhgggfffffffffffffffffffffffffffffffffeeeeeefffffffffeeefffggghhhiiijjjkkkllljjjkkkkkklllmmmnnnoooppppppqqqssssssssstttvvvxxxyyy|||tttkkkfffeeelllttt}}}wwwsssqqqrrrrrrppplllfffaaa^^^]]]^^^```cccfffgggfffeeeccc^^^]]][[[XXXTTTPPPMMMKKKIIIGGGDDDBBBAAA@@@>>><<<::::::::::::999999999888444444444333333333222222333333333333333333333333222222222222222222222222111000000111333444333222444444666999:::<<>>???BBBGGGLLLQQQTTTUUUVVVXXXXXXVVVSSSOOOJJJGGGEEEEEEHHHOOOVVV\\\aaadddfffbbbbbbbbbaaabbbdddhhhllltttzzz}}}zzzvvvsssooonnnmmmmmmlllllllllmmmkkkmmmooorrrvvv}}}{{{uuurrrqqqrrrsssrrrqqqooollleee]]]XXXWWWVVVVVVXXXZZZXXXSSSNNNCCCCCCEEEGGGLLLPPPTTTWWWZZZYYYVVVOOOEEE<<<555222...//////000000000000000000000000111222333444555444666;;;@@@GGGYYYvvv}}}}}}}}}}}}|||{{{~~~~~~tttfff[[[SSSRRR\\\gggwww}}}tttmmmjjjiiiiiiiiiiiihhhhhhhhhhhhggggggggggggggggggggggggggggggffffffffffffggggggeeeeeefffggghhhiiijjjkkkkkkkkklllmmmnnnoooooopppppprrrsssrrrrrrrrruuuwwwyyy{{{~~~|||uuuxxx~~~~~~uuunnnkkkllluuuxxxtttqqqrrrrrrqqqmmmhhhdddaaaaaabbbcccccccccaaa^^^\\\ZZZWWWVVVTTTRRRNNNKKKHHHFFFDDDBBB@@@?????????<<<;;;:::::::::999888888888777444444444333333222222111333333333333333333333333111222333222111000111333333222111222444555555444333222444888999:::AAAJJJSSSeee||||||zzz{{{zzz|||~~~rrrhhh___YYYYYY\\\[[[bbbqqqzzzlllhhhbbb^^^[[[XXXVVVTTTRRRUUU[[[eeeqqq|||zzzuuuqqqkkkfffbbbWWWSSSMMMGGGEEEGGGJJJMMMVVVaaammmsssxxxzzzyyyuuutttssssssrrrrrrsssssssssssstttttttttuuuuuuuuuuuuvvvvvvwwwyyyzzz|||}}}~~~~~~~~~~~~~~~}}}xxxqqqmmmgggaaa[[[TTTNNNJJJCCCBBB@@@===<<<<<<<<<<<<>>>BBBGGGMMMSSSVVVWWWXXXXXXXXXWWWUUUQQQLLLHHHEEEDDDHHHNNNUUU\\\```ccceeebbbccccccbbbcccfffjjjmmmuuu{{{|||xxxuuupppoooooonnnnnnnnnnnnnnnnnnppprrruuuzzz}}}vvvssssssttttttttttttsssooohhh^^^XXXXXXVVVVVVWWWYYYVVVPPPKKKAAABBBEEEHHHLLLQQQTTTVVVWWWVVVSSSLLLCCC;;;555333///////////////000111111000000000111222333555555444666;;;@@@GGGYYYxxx~~~||||||~~~xxxooocccYYYRRRPPPYYYdddvvvwwwpppllliiiiiiiiiiiihhhhhhhhhhhhgggggggggggggggggggggggghhhhhhgggggggggggghhhhhhffffffggghhhiiijjjjjjjjjkkkkkklllmmmnnnoooppppppppprrrrrrrrrqqqrrrtttuuuxxxzzz}}}~~~uuuqqqhhhlllsss|||}}}wwwtttrrruuuyyyssspppnnnnnnmmmjjjeeebbbaaaaaaaaa``````^^^[[[YYYVVVUUUSSSRRRQQQNNNLLLIIIFFFDDDAAA@@@??????@@@???===<<<;;;;;;::::::999888777777666555555444333333222222222222222222222222222222000222333222000000111333444333222333555777777666222111444777888888<<>><<<;;;;;;:::>>>AAAHHHNNNTTTXXXZZZZZZYYYYYYYYYWWWSSSNNNIIIFFFDDDHHHNNNUUU[[[```cccdddeeeffffffffffffiiinnnqqqvvv}}}~~~yyyvvvqqqppppppoooooooooooopppppprrruuuxxx}}}~~~xxxttttttuuutttuuuwwwxxxuuunnneee^^^ZZZXXXWWWWWWXXXTTTNNNHHH???AAADDDHHHMMMQQQTTTUUUUUUTTTQQQKKKBBB;;;666333000///.........000111222000000000111222444555666444777<<>>>>>>>>===<<<;;;:::999888777777666555444444333333222222222222222222222222///222333333000///111333444222111222444666666666222111333777777666888>>>>>>LLL^^^mmm}}}|||tttkkkcccbbbeeemmmuuu|||vvvmmmjjjgggdddcccbbb```___```ccchhhqqqzzz}}}yyyuuupppkkkggg[[[VVVOOOJJJHHHJJJNNNQQQZZZbbbjjjnnnrrrvvvwwwuuuuuuttttttttttttuuuvvvvvvrrrrrrssssssssssssssssssuuuuuuvvvwwwyyy|||~~~~~~~~~~~~~~~zzztttgggbbb[[[TTTPPPMMMJJJHHHAAA???===::::::;;;<<<===@@@FFFNNNUUUXXXZZZ[[[[[[XXXVVVUUUUUUTTTQQQKKKFFFIIIKKKOOOVVV^^^cccffffffhhhhhhgggggggggkkkppptttyyy~~~{{{wwwssssssrrrqqqqqqrrrssssssrrrsssuuuwww||||||xxxuuusssqqquuuwww{{{~~~~~~wwwlllccc___\\\YYYWWWUUUQQQJJJEEE>>>AAADDDIIINNNRRRUUUVVVWWWTTTOOOHHH@@@888333000......///000111222222333333333333222222222111111555999:::@@@MMMYYYsss{{{xxxxxxzzz{{{zzzzzzsssiii^^^TTTPPPWWWbbbuuuzzzsssooonnnmmmkkkiiiggggggggggggggggggggggggggggggggggggiiiiiihhhggggggggggggggghhhggggggggggggiiikkklllllllllmmmmmmnnnnnnoooooopppqqqrrrrrrqqqqqqsssuuuvvvyyy|||~~~tttgggbbbeeehhhmmmuuu{{{||||||vvvooojjjgggeeebbb___\\\ZZZYYYYYY[[[YYYWWWXXXYYYXXXTTTPPPMMMJJJFFFEEEFFFFFFDDDBBBAAAAAAAAAAAA@@@???>>>===??????===<<<;;;:::::::::666555555444444444555555222222222111222222333333222222222222222222222222555555444444444333333333333333333333555999<<<>>>???CCCOOO```ooo~~~{{{rrroooqqquuuxxx}}}zzzwwwmmmiiifffeeeffffffdddbbbfffkkkrrrxxx~~~|||tttmmmddd[[[SSSNNNKKKJJJNNNTTT^^^dddkkkqqqtttuuuvvvwwwuuutttsssrrrrrrssstttuuuxxxwwwwwwwwwvvvvvvuuuuuuuuuuuuuuuuuuvvvyyy{{{|||}}}~~~~~~tttmmmbbb^^^WWWQQQMMMJJJGGGEEEBBB@@@===;;;;;;<<<>>>???AAAHHHQQQXXX[[[\\\\\\\\\XXXVVVUUUVVVWWWUUUPPPKKKIIIKKKOOOVVV^^^cccffffffhhhhhhhhhggghhhkkkpppssszzz{{{wwwuuutttsssrrrrrrssstttuuusssuuuvvvyyy}}}|||xxxvvvsssrrrxxxzzz{{{pppggg```]]]ZZZXXXVVVQQQJJJFFF???BBBFFFKKKOOOSSSVVVWWWXXXUUUOOOHHH@@@999333000//////000000111111222222333333333333333333333444444999:::@@@MMMYYYsss~~~zzzwwwyyy|||~~~~~~}}}wwwnnndddZZZUUUZZZcccttt|||tttpppnnnmmmkkkiiiggggggggggggggggggggggggggggggggggggiiiiiihhhgggggggggggggggiiihhhhhhhhhiiijjjlllmmmllllllmmmmmmnnnnnnoooooopppqqqrrrrrrqqqrrrsssuuuwwwzzz}}}yyytttnnnfffccchhhjjjooouuu{{{~~~yyypppiiieee___^^^[[[XXXVVVUUUTTTTTTZZZXXXWWWWWWXXXWWWSSSPPPNNNKKKHHHGGGHHHGGGEEECCCAAAAAAAAA@@@@@@???>>>>>>>>>===<<<;;;:::999999999999999888777777777777888333333222222222222333333222222222222222222222222222333333333444444555555666555444444555777999:::<<>>@@@AAACCCKKKUUU^^^aaaaaa___]]]XXXWWWWWWYYY[[[ZZZUUUPPPKKKLLLOOOVVV]]]cccfffgggiiiiiiiiiiiiiiilllpppsss{{{{{{wwwvvvuuuttttttttttttuuuvvvuuuwwwyyy{{{{{{wwwtttsssqqqxxx|||uuummmcccaaa___[[[WWWQQQJJJEEE@@@BBBGGGMMMRRRUUUWWWXXXYYYVVVPPPHHH@@@999444111000111111111111111111111333333444444555555666666444999:::@@@MMMZZZsss|||{{{||||||yyyxxxzzz~~~|||vvvmmmbbb[[[^^^eeettt~~~vvvqqqnnnmmmkkkiiigggggggggggghhhhhhhhhhhhhhhhhhhhhhhhiiiiiihhhgggggggggggggggjjjiiiiiiiiijjjkkklllmmmkkkllllllmmmnnnnnnoooooopppqqqrrrrrrqqqrrrtttvvvyyy{{{~~~{{{pppooommmiiiiiimmmmmmqqqwww{{{|||}}}~~~yyyppphhhaaa]]]WWWVVVTTTRRRQQQQQQQQQQQQWWWVVVVVVVVVWWWVVVSSSQQQPPPNNNKKKJJJJJJIIIGGGEEEDDDDDDCCCBBBAAA@@@AAAAAA???>>>===;;;::::::::::::888777666555555555555555444333333222222333333333222222222222222222222222111111222333444555666666888888666555555555666777;;;===CCCNNNYYYfffvvv|||vvvrrrnnnllljjjiiijjjmmmrrrzzz{{{yyyqqqmmmjjjiiikkknnnqqqrrrzzz~~~~~~ooofff]]]WWWSSSQQQUUUZZZaaaffflllpppssssssttttttvvvuuutttsssssssssssssssuuuuuuuuuuuuuuutttttttttvvvvvvwwwxxxyyy{{{|||}}}yyyoooggg```\\\VVVQQQNNNKKKHHHFFFDDDCCCAAA??????@@@CCCDDDGGGOOO\\\eeehhhfffccc```YYYYYYZZZ]]]```^^^YYYUUUNNNNNNQQQVVV]]]cccggghhhjjjkkkkkkkkkkkkmmmqqquuu|||{{{xxxwwwvvvuuuuuuuuuuuuvvvwwwwwwxxx{{{}}}yyytttqqqooonnnsssxxxyyyrrrjjjhhheee```ZZZQQQIIIDDD???CCCHHHOOOTTTWWWXXXXXXZZZVVVPPPHHH@@@999444222222111111111111111111111111222333444555666777777444999:::AAANNNZZZrrrzzzwwwxxxzzz|||}}}~~~|||yyyyyy{{{~~~|||uuujjjaaaaaaggguuuwwwrrrnnnmmmkkkiiiggggggggggggiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhgggggggggggggggiiiiiiiiiiiijjjjjjkkkkkkkkkkkkllllllmmmnnnoooooopppqqqrrrrrrrrrsssuuuwwwzzz}}}|||uuuuuutttqqqrrruuutttwww{{{}}}}}}||||||}}}|||zzzqqqiiiaaa[[[WWWSSSSSSQQQPPPPPPQQQRRRSSSTTTTTTUUUVVVVVVUUUSSSRRRQQQPPPOOONNNLLLKKKIIIGGGIIIHHHGGGEEEDDDCCCCCCDDDAAA@@@???>>>===<<<<<<<<<888777666555555555555555555444444333333333333444222222222222222222222222111111222333444444555555888777666555555555555555<<<<<>>CCCIIIPPPVVVXXXYYYYYYZZZVVVOOOGGG???888444222222222222222111111111111000111222333444555666777555:::;;;BBBNNNYYYqqqyyyuuutttvvvxxxyyy}}}}}}{{{zzz{{{}}}{{{pppeeedddhhhwwwxxxsssnnnmmmkkkiiiggggggggggggjjjjjjjjjjjjjjjjjjjjjjjjiiihhhhhhggggggggggggggghhhhhhhhhiiiiiiiiiiiiiiijjjjjjkkklllmmmnnnoooooopppqqqrrrsssrrrsssuuuxxx{{{~~~~~~~~~~~~|||}}}~~~~~~}}}}}}||||||tttkkkddd]]]WWWSSSPPPOOOOOONNNOOOPPPRRRSSSRRRSSSUUUUUUUUUTTTTTTTTTSSSSSSSSSSSSQQQOOOMMMMMMNNNMMMKKKIIIGGGEEEDDDDDDBBBAAA@@@???>>>===============;;;::::::999999999666555555444333333444444222222222222222222222222333333333333333333333333555555555555555555666666::::::???GGGPPPZZZjjjwww}}}|||}}}vvvoooiiieee^^^\\\XXXTTTQQQOOOOOOOOOMMMOOORRRUUUYYYaaajjjqqqrrrvvv{{{}}}~~~zzzwwwssspppppptttyyy}}}sssmmmhhhfffdddbbbdddhhhkkknnnrrruuuuuutttuuuuuuuuuuuutttttttttssssssrrrssssssssssssttttttttttttssstttuuuwwwxxxyyyzzzzzz}}}~~~~~~|||sssmmmfffccc^^^ZZZVVVRRRNNNKKKKKKIIIFFFDDDCCCDDDFFFGGGMMMVVVbbblllooolllgggddd^^^___bbbggglllkkkgggbbbXXXWWWVVVYYY^^^dddhhhjjjlllmmmoooqqqrrruuuxxx{{{~~~|||zzzyyyxxxwwwwwwxxxyyyzzzzzz}}}vvvpppmmmlllllllllrrryyy}}}}}}yyyuuusssqqqqqqoooggg\\\PPPGGGBBB???DDDLLLSSSYYY[[[[[[ZZZZZZUUUNNNEEE>>>777333222111111222222222222222222000111222333444555666666666<<<===CCCNNNXXXooo~~~wwwrrrqqqtttvvvxxx}}}}}}}}}|||{{{}}}tttiiigggkkkyyyzzzuuunnnmmmkkkiiiggggggggggggiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhgggggggggggggggggghhhhhhiiiiiiiiihhhhhhiiiiiijjjlllmmmnnnoooppppppqqqrrrsssssstttvvvxxx{{{~~~{{{vvvoooggg```YYYSSSOOOJJJJJJJJJJJJKKKLLLNNNOOOPPPRRRUUUVVVUUUUUUUUUVVVVVVXXXZZZYYYWWWUUUTTTUUUSSSRRRQQQOOOLLLIIIFFFDDDCCCBBBAAA???>>>>>>======???>>>===;;;::::::::::::777666555555444444444444222222222222222222222222444333333333222222222111333444444555666666666777666777<<>>CCCNNNWWWmmm|||tttpppppptttxxxzzz{{{|||}}}||||||~~~wwwmmmkkknnn{{{}}}xxxnnnmmmkkkiiiggggggggggggiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhggggggggggggggghhhiiijjjjjjjjjiiihhhhhhhhhiiijjjkkkmmmnnnoooppppppqqqssssssssstttwwwyyy{{{~~~|||uuuqqqjjjccc\\\UUUNNNJJJFFFFFFFFFFFFGGGIIIKKKLLLOOORRRUUUWWWVVVUUUVVVXXXZZZ]]]``````^^^]]]]]]]]]\\\\\\\\\YYYUUUPPPLLLIIIGGGFFFDDDCCCBBBBBBAAAAAA???>>>===;;;:::999999999888777666555444444444444222222222222222222222222222222222222222333333333444444555555666666555555555666;;;CCCKKKSSS```lllwww|||yyywwwyyyzzzwwwooommmjjjfff```YYYTTTQQQNNNNNNMMMLLLKKKJJJJJJIIIGGGIIIKKKLLLOOOVVV```iiiooouuu}}}{{{xxxxxxzzzxxxsssppprrrrrrtttvvvvvvuuutttttttttqqqrrrsssuuuuuuuuuuuutttssssssttttttuuuuuuuuuuuuuuuvvvxxxzzz{{{||||||{{{}}}}}}~~~~~~}}}~~~~~~xxxtttqqqlllgggbbb^^^YYYUUUPPPNNNJJJGGGEEEEEEFFFGGGKKKTTT```iiikkkiiidddbbb___bbbhhhqqqyyy|||yyyuuuaaa^^^[[[\\\___dddhhhjjjlllooorrruuuwww{{{~~~}}}}}}~~~wwwssstttvvvwwwvvvyyy|||{{{vvvqqqnnnnnnhhhjjjjjjeeeZZZPPPHHHDDDCCCHHHQQQZZZ```aaaaaa___XXXTTTLLLCCC;;;555222111000000111222333333444444444444555555666777777777999>>>???DDDNNNVVVlllyyyrrrooopppuuuzzz}}}yyy{{{|||||||||~~~yyyooommmqqq}}}{{{nnnmmmkkkiiigggggggggggghhhhhhhhhhhhhhhhhhhhhhhhiiiiiihhhgggggggggggggggiiijjjkkklllkkkkkkiiihhhhhhiiijjjkkkmmmnnnoooppppppqqqssssssssstttwwwyyy{{{~~~|||rrrmmmfff___XXXQQQJJJFFFEEEEEEEEEEEEFFFHHHIIIJJJOOORRRVVVWWWVVVVVVWWWYYY]]]aaaeeeeeecccbbbbbbccceeefffeeeccc___XXXRRROOOLLLKKKJJJHHHGGGGGGFFFFFFCCCBBBAAA???>>>>>>======888888777555555444444444222222222222222222222222000000111222333444444555555555555666555555444333666777===EEEKKKRRR^^^iiittt~~~~~~{{{}}}}}}}}}}}}~~~~~~~~~{{{wwwuuuwww}}}zzzuuurrriiigggddd___ZZZTTTPPPNNNNNNNNNNNNNNNMMMLLLJJJJJJFFFIIILLLMMMOOOWWWbbbkkkrrryyy{{{}}}}}}~~~~~~wwwssssssrrrtttvvvvvvtttsssrrrssspppqqqsssuuuvvvvvvuuuuuutttttttttuuuuuuuuuvvvvvvrrrtttvvvxxxyyyzzzzzzyyyzzzzzz{{{|||||||||||||||}}}~~~{{{uuuppplllfff^^^XXXQQQNNNJJJFFFDDDDDDEEEGGGNNNTTT]]]dddfffeeedddccc```eeejjjrrr}}}nnnfff___^^^```bbbffflllnnnqqqsssuuuvvvzzz~~~~~~~~~~~~~~~~~~~~~xxxyyy|||yyyyyyxxxwwwsssnnnhhheeeggghhhfff___TTTKKKFFFEEEFFFQQQ]]]dddggghhhddd___ZZZTTTKKKBBB;;;666222000000111222333444555555444555555555555666888999::::::??????BBBIIIQQQfff{{{{{{{{{{{{|||}}}{{{}}}zzzqqqmmmnnn|||pppnnnkkkiiiiiiiiihhhfffllllllkkkjjjjjjiiiiiihhhiiiiiiiiijjjjjjiiiiiiiiieeegggiiikkklllkkkjjjiiiiiijjjlllnnnooopppqqqqqqrrrssstttssssssuuuxxxzzz~~~{{{uuunnnddd[[[SSSMMMHHHEEECCCDDDCCCBBBAAACCCGGGJJJKKKRRRYYYZZZWWWWWW[[[```aaacccgggiiigggeeejjjrrrvvvuuuuuutttnnneee]]]ZZZTTTSSSQQQNNNKKKJJJJJJLLLKKKJJJHHHFFFDDDBBBAAA@@@;;;999666555666666666555111000000000000000111111444444333000......000222222222222333444555666777888:::===BBBHHHQQQ[[[aaaooovvv|||zzzxxxxxxxxx|||||||||{{{zzzzzzzzzyyyyyyxxxvvvvvvwww{{{~~~{{{vvvppplllhhheee```^^^]]][[[WWWSSSWWWTTTQQQPPPPPPOOONNNLLLKKKJJJJJJLLLNNNTTTaaannnuuu|||{{{yyy|||~~~}}}{{{yyywwwvvvxxxxxxxxxwwwvvvuuutttsssssssssssssssssssssrrrrrrssssssssssssssssssssssssvvvvvvwwwxxxyyyyyyyyyyyy|||{{{zzzzzz{{{}}}zzztttooohhh```ZZZQQQNNNJJJFFFDDDDDDEEEFFFMMMSSS[[[bbbddddddccccccaaaffflllttttttkkkcccaaaaaaccchhhnnnnnnqqqtttuuuvvvzzz~~~~~~}}}~~~zzzyyyxxxvvvrrrnnnjjjgggggggggddd\\\RRRJJJFFFFFFKKKVVVccciiillllllgggaaa\\\UUUKKKBBB;;;777444222111111222333444555555666555555555666777888::::::<<<@@@@@@CCCKKKRRRggg~~~~~~~~~~~~~~~~~~~~~~~~}}}zzzqqqnnnppp|||pppnnnkkkiiiiiijjjiiihhhkkkkkkkkkjjjjjjjjjjjjjjjiiijjjjjjkkkkkkjjjjjjiiihhhiiikkkmmmmmmmmmlllkkkjjjkkklllnnnooopppqqqqqqssstttuuuuuuuuuvvvyyy|||~~~vvvpppfff\\\TTTNNNJJJGGGCCCCCCBBBAAA@@@BBBEEEHHHNNNUUU]]]```]]]\\\___bbbcccdddiiimmmlllkkkrrrzzz|||sssjjjeeeYYYWWWTTTQQQNNNMMMOOOPPPPPPPPPOOOMMMJJJGGGDDDCCC@@@===999777777666555444222222222111111222222333444444333111//////111333333333333333444555666666777999<<<@@@FFFOOOXXX___lllsss|||~~~}}}|||zzzxxxwwwvvvvvvvvvttttttttttttttttttssssssuuutttssssssuuuyyy}}}}}}xxxtttooollliiigggeeedddeeeddd```]]]]]]ZZZXXXVVVUUUSSSQQQOOONNNLLLKKKMMMOOOTTTaaammmxxx}}}{{{}}}~~~|||zzzxxxxxxxxxyyyyyyyyyxxxwwwwwwvvvuuuuuuuuuuuutttttttttttttttttttttttttttuuuuuuvvvwwwxxxyyyyyyzzzyyyyyy}}}|||{{{{{{{{{}}}zzzssskkkbbb[[[RRRPPPLLLHHHFFFFFFGGGHHHMMMRRRYYY^^^aaaaaaaaaaaaaaagggnnnwww|||rrrhhhdddcccdddiiiooonnnqqqsssuuuvvvzzz}}}zzzyyyvvvtttpppmmmkkkiiifffeeeaaaYYYOOOHHHFFFGGGOOO\\\iiiooorrrqqqllleee^^^VVVKKKAAA:::777555444222222222222333555777888666666777777888:::;;;<<<===BBBAAAEEEMMMSSSfff~~~~~~|||{{{~~~zzzrrrpppsss|||pppmmmjjjiiiiiijjjjjjjjjjjjjjjjjjjjjkkkkkkkkkkkkkkkkkkllllllllllllkkkkkkkkklllmmmooooooooonnnnnnkkklllmmmnnnooopppqqqrrrtttuuuvvvvvvvvvwwwzzz}}}~~~xxxrrrggg]]]UUUOOOKKKHHHBBBBBBAAA??????@@@DDDGGGPPPYYYcccgggfffddddddeeeeeeggglllqqqsssuuu~~~xxxpppeeebbb]]]XXXVVVVVVXXXYYYZZZZZZYYYWWWTTTOOOKKKHHHEEEBBB>>>:::999777555333444444333333333333444444333444333222000111333555333333333333444444555666777888;;;???DDDLLLVVV\\\hhhnnnvvv~~~|||zzzvvvuuuttttttssssssssstttqqqqqqqqqqqqqqqqqqrrrrrrpppooonnnnnnppptttyyy||||||yyyuuurrrooonnnmmmmmmnnnppprrrrrrpppnnnkkkhhheeeccc```]]]YYYVVVRRRPPPOOOQQQSSSXXXcccnnn}}}~~~{{{zzzyyyzzz{{{|||||||||||||||xxxxxxxxxwwwwwwwwwvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvwwwxxxyyyzzzzzzzzzzzz}}}||||||{{{|||}}}~~~vvvlllbbb\\\UUURRRNNNJJJHHHHHHIIIKKKLLLQQQVVVZZZ\\\]]]^^^______fffnnnwwwxxxllleeecccccchhhmmmlllooorrrsssuuuzzz}}}yyywwwuuurrrooolllkkkjjjiiieeeccc^^^VVVMMMGGGGGGHHHPPP]]]kkksssvvvuuupppjjj]]]UUUIII>>>888555555555333333222222333555888:::888888888999:::;;;<<<===>>>BBBBBBEEEMMMRRRddd~~~}}}}}}zzzxxx{{{{{{tttrrruuu{{{nnnlllhhhggghhhiiijjjjjjiiiiiijjjjjjkkklllmmmmmmmmmmmmmmmnnnnnnmmmmmmmmmmmmmmmnnnoooppppppoooooommmmmmmmmnnnoooppprrrrrrssstttuuuuuuvvvwww{{{}}}~~~zzzssshhh^^^VVVOOOJJJGGGBBBBBBAAA???>>>@@@CCCFFFQQQZZZgggnnnnnnkkkiiihhhhhhjjjooouuuyyy~~~~~~uuupppiiidddbbbbbbccccccdddeeeeeeccc___YYYSSSOOOIIIFFFAAA===;;;999666444555555444333333333444444333333444333222222444666333333333333333444555666777888;;;>>>DDDLLLUUU[[[ccchhhpppvvvzzz}}}~~~|||zzzxxxvvvssssssrrrqqqqqqpppppppppmmmmmmnnnnnnooooooppppppllljjjiiihhhjjjmmmqqqtttyyyxxxwwwuuusssssstttvvvwwwyyy|||}}}{{{wwwsssoooiiiccc___XXXUUUTTTVVVYYY^^^hhhrrr~~~}}}~~~~~~~~~~~~zzzzzzyyyyyyxxxxxxwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvwwwxxxyyyzzzzzzzzzzzz}}}||||||||||||}}}~~~xxxnnnddd]]]VVVSSSOOOKKKIIIIIIKKKLLLNNNQQQUUUWWWXXXZZZ[[[]]]]]]dddmmmvvv|||ooogggbbbaaadddiiijjjllloooqqqssswww~~~{{{{{{zzzwwwtttrrrpppmmmjjjhhhgggggggggcccaaa\\\TTTKKKGGGGGGIIINNN[[[iiiqqquuuvvvrrrlll\\\SSSFFF;;;555333333444444333222222444666999;;;:::::::::;;;<<<===>>>??????BBBAAAEEEMMMRRRaaa{{{~~~}}}~~~{{{xxxvvvvvv|||}}}uuusssvvv{{{nnnkkkgggeeefffhhhiiiiiiiiiiiijjjkkklllmmmmmmnnnnnnnnnoooooooooooonnnnnnmmmnnnnnnooooooooooooooonnnnnnnnnnnnoooqqqrrrsssrrrsssttttttuuuwwwzzz}}}~~~|||zzz~~~wwwpppfff\\\UUUOOOJJJGGGDDDDDDCCCAAA@@@AAAEEEHHHQQQ[[[iiisssvvvsssooollllllmmmrrrxxx}}}wwwpppmmmlllkkkjjjlllmmmnnnmmmhhhbbb[[[WWWMMMIIIDDDAAA>>><<<999777666555444333333333333333222333444333222222333555444444333333333444555555888999<<>>@@@AAABBBBBBDDDCCCGGGPPPRRR^^^uuu{{{wwwsssrrrnnnwwwwwwrrrrrrvvvrrrnnniiifffggghhhiiijjjjjjkkkkkkkkkllllllmmmmmmnnnnnnoooooooooooonnnnnnppppppooooooooooooooopppqqqpppoooooooooqqqssstttrrrsssuuuuuuvvvxxx|||}}}{{{vvvsssrrrvvv~~~|||xxxrrrmmmccc^^^XXXSSSQQQPPPOOONNNLLLLLLJJJHHHGGGHHHKKKNNNWWWaaaqqq}}}wwwwwwyyy}}}{{{vvvtttuuuvvvuuurrrnnnjjjggg\\\XXXQQQLLLHHHDDD@@@===888888777666555555555555222333444333111000000111555444444333333444444444666888;;;???EEENNNWWW^^^^^^bbbgggjjjkkklllmmmooonnnnnnmmmmmmmmmmmmmmmnnnmmmmmmllljjjhhheeebbb```````````````____________ZZZYYYWWWWWWYYY\\\```cccgggnnnvvv|||zzzvvvvvvxxxyyy}}}~~~|||{{{|||}}}~~~}}}|||{{{zzzzzzzzzyyyyyyxxxwwwwwwvvvwwwxxxyyyzzz{{{{{{{{{{{{yyyzzzzzzzzzzzzzzzyyyyyyzzz{{{|||}}}{{{|||}}}}}}}}}~~~vvvooofffccc___[[[YYYYYYZZZ[[[VVVVVVUUUSSSRRRRRRUUUWWW[[[ccckkkqqqyyyvvvlllddd]]][[[]]]```cccfffhhhjjjooowww}}}{{{xxxvvvuuuvvvtttppplllffffffeeeeeedddcccbbbaaa^^^^^^[[[UUUNNNIIIHHHJJJQQQZZZcccgggiiijjjhhhdddYYYQQQGGG===888555444333111222444666888999::::::=========>>>???@@@BBBBBBDDDFFFDDDHHHQQQSSS___uuuzzzuuurrrpppnnnwwwwwwqqqqqqrrruuuqqqkkkhhhhhhiiikkkkkkkkkkkkkkklllllllllmmmmmmnnnnnnoooooooooooonnnnnnqqqqqqppppppoooppppppqqqrrrqqqpppooooooqqqsssuuussstttvvvvvvwwwzzz}}}}}}xxxssspppmmmooottt|||yyyrrrnnniiiccc___ZZZWWWRRRPPPPPPQQQRRRSSSOOONNNMMMKKKIIIJJJMMMPPPZZZeeeuuu|||{{{|||}}}uuuvvvvvvvvvtttqqqmmmkkkccc^^^WWWQQQKKKFFFAAA>>>:::999888777666666666666222333444333111/////////555444444333333333444444555777:::>>>EEENNNWWW^^^___bbbgggiiijjjkkklllmmmhhhhhhggggggggghhhhhhiiihhhhhhhhhgggdddbbb___]]]YYYYYYXXXXXXWWWWWWVVVVVVUUUTTTSSSTTTWWW\\\```ccchhhpppyyy~~~{{{zzzyyyxxxyyyzzz}}}}}}}}}|||||||||{{{zzzyyyyyyxxxxxxxxxxxxyyyzzz{{{{{{{{{{{{yyyyyyyyyzzzzzzyyyxxxxxxyyyzzz{{{}}}~~~~~~zzz{{{}}}}}}}}}~~~