BM6P6(@ MMMKKKIIIEEEAAA>>>;;;:::777777666666666666777777999;;;===>>>@@@@@@?????????AAA@@@<<<===AAACCCAAADDDJJJRRRYYY```kkkxxxttttttxxxwww||||||dddRRRFFFAAAAAA===<<<<<<;;;;;;;;;<<<<<<:::===>>>???AAAFFFHHHIIIJJJUUUpppxxx|||uuucccWWWQQQPPPRRRRRRQQQPPPNNNNNNOOOPPPQQQOOOOOOOOONNNNNNMMMMMMMMMQQQPPPMMMJJJHHHGGGGGGGGGKKKGGGFFFIIIKKKIIIIIIKKKMMMJJJHHHGGGHHHJJJKKKKKKJJJIIIGGGFFFHHHMMMRRRUUURRROOOJJJGGGFFFFFFEEEDDDHHHBBB???DDDJJJNNNRRRUUUVVVSSSNNNHHHEEEDDDDDDDDDFFFEEECCCBBBAAAAAABBBBBBAAA@@@@@@AAABBBBBBAAA???AAAAAAAAAAAAAAAAAAAAAAAA<<<>>>AAAGGGLLLOOONNNLLLQQQTTT```rrr}}}|||~~~yyyxxxtttttttttqqqggg]]]\\\aaagggkkkqqqwwwzzzzzzxxxvvvzzzzzzyyyyyyyyyyyyxxxxxxuuuttttttsssqqqppppppoooqqqpppnnnmmmmmmnnnoooppptttvvvxxxzzz{{{{{{{{{zzz~~~AAA@@@???===:::888666555777777666666666666777777999:::<<<>>>???@@@@@@???<<>>AAAAAA???AAAFFFMMMTTT[[[eeeqqqzzz|||~~~zzzpppppp{{{~~~}}}nnnZZZLLLCCC>>>>>>===<<<<<<;;;;;;<<<<<<<<<===???@@@@@@AAACCCEEEFFFOOO```|||mmm]]]UUUPPPNNNOOOPPPPPPOOOOOONNNOOOOOOOOOOOOOOOOOONNNNNNNNNMMMMMMNNNMMMKKKJJJHHHHHHHHHHHHLLLGGGDDDFFFHHHFFFGGGIIILLLJJJGGGGGGHHHJJJJJJJJJJJJIIIGGGGGGIIILLLPPPRRRPPPMMMIIIGGGFFFFFFFFFEEEIIIDDDCCCIIIPPPSSSUUUXXXSSSPPPKKKGGGDDDCCCCCCDDDDDDCCCBBB@@@@@@@@@AAAAAABBBAAA@@@AAABBBBBBAAA???AAAAAA@@@@@@@@@@@@@@@@@@AAACCCGGGJJJKKKKKKKKKJJJOOOQQQ[[[jjjwww}}}|||}}}}}}~~~vvvjjjddddddgggjjjoootttwwwwwwwwwvvvyyyxxxxxxwwwwwwvvvvvvvvvtttsssrrrqqqpppoooooonnnqqqooommmkkkjjjkkkllllllrrrsssuuuwwwzzz{{{}}}}}}}}}:::999999888777777666666777666666555555666666777999:::<<<===???@@@@@@@@@<<<@@@AAA@@@AAADDDDDDAAA@@@DDDIIINNNSSS\\\fffnnn{{{yyypppsssyyy|||~~~uuunnnooozzzwww]]]NNNFFFAAA>>>======<<<<<<;;;<<<<<<======???@@@BBBCCCCCCDDDGGGIIIWWWpppyyycccWWWSSSOOOLLLKKKNNNOOOOOOOOONNNNNNMMMLLLNNNNNNNNNMMMMMMMMMMMMMMMJJJJJJIIIIIIIIIIIIIIIJJJLLLFFFBBBCCCDDDDDDFFFIIILLLIIIGGGGGGHHHJJJJJJIIIIIIIIIHHHHHHIIIKKKMMMNNNLLLJJJGGGFFFFFFGGGFFFFFFIIIEEEGGGNNNTTTUUUUUUVVVMMMKKKGGGDDDBBBBBBCCCDDDCCCCCCBBBAAAAAABBBBBBBBBCCCBBBAAAAAABBBBBB@@@????????????????????????@@@AAAEEEIIIJJJHHHGGGHHHIIILLLNNNUUU___gggppp|||zzznnnjjjkkkmmmoooqqqtttuuuuuuuuuwwwwwwvvvvvvuuutttssssssrrrrrrqqqqqqpppooonnnnnnpppnnnllliiihhhhhhhhhiiiooooooqqqsssvvvzzz~~~|||~~~777777666666666666666666777666666555555666666777999:::;;;===???AAABBBBBB@@@DDDFFFFFFHHHLLLMMMKKKHHHIIIKKKMMMPPPUUU\\\bbbooovvv~~~}}}~~~}}}xxx{{{~~~}}}mmmhhhllltttyyy{{{|||{{{vvvpppsss~~~jjjSSSGGGEEECCC???===<<<<<<<<<<<<<<<======>>>@@@@@@BBBEEEFFFGGGLLLRRRaaa~~~nnn[[[TTTSSSPPPMMMKKKLLLMMMNNNNNNNNNLLLJJJIIIKKKKKKKKKKKKKKKKKKKKKKKKGGGGGGGGGHHHIIIJJJKKKKKKKKKEEEAAACCCEEEFFFIIIMMMLLLJJJIIIIIIJJJKKKKKKJJJIIIIIIIIIIIIIIIJJJJJJJJJIIIGGGFFFEEEGGGHHHGGGGGGHHHEEEHHHPPPTTTRRROOONNNHHHFFFDDDAAAAAAAAABBBCCCEEEEEEEEEDDDDDDEEEEEEEEEDDDBBB@@@@@@@@@AAA@@@>>>>>>>>>>>>>>>????????????===BBBHHHHHHEEEDDDGGGKKKJJJKKKOOOTTTYYYbbbsssuuuqqquuutttssssssssstttuuuvvvvvvvvvuuuuuutttsssrrrrrrrrrrrrrrrqqqpppooooooooonnnllljjjhhhggghhhiiijjjmmmmmmnnnooossswww|||~~~|||}}}~~~}}}zzz555555444444444444444444777777666666666666777777999:::;;;===@@@BBBDDDEEEEEEJJJMMMOOOSSSYYY[[[YYYVVVVVVTTTRRRRRRTTTWWWZZZccciiinnnpppnnnpppvvv|||zzzsssqqqssstttsssqqqpppssswwwyyy{{{~~~oooeeedddjjjssszzzyyy{{{{{{xxxuuuyyyttt```LLLDDDDDDBBB???===<<<<<<<<<<<<<<<===>>>???BBB@@@BBBEEEFFFGGGOOOZZZllltttfffXXXTTTUUUSSSPPPNNNKKKLLLLLLMMMLLLJJJHHHGGGHHHHHHHHHHHHHHHHHHIIIIIIEEEFFFGGGHHHJJJKKKKKKLLLJJJEEECCCFFFIIIJJJMMMQQQMMMKKKJJJJJJLLLLLLLLLKKKHHHHHHIIIIIIIIIHHHHHHHHHGGGFFFEEEFFFHHHIIIHHHHHHHHHGGGJJJQQQUUUPPPIIIFFFDDDCCCAAA@@@@@@AAABBBCCCEEEEEEEEEEEEEEEDDDDDDDDDAAA@@@======>>>???>>>============>>>>>>????????????DDDHHHHHHEEECCCFFFJJJHHHHHHJJJMMMPPPXXXkkk}}}uuuttt~~~|||yyyuuuttttttuuuvvvuuuuuuuuutttsssrrrrrrqqqsssssssssrrrqqqqqqpppppplllkkkiiihhhhhhjjjkkkmmmmmmmmmllllllooossswwwzzz|||}}}|||{{{~~~xxxhhh888888777777777777777777999888888777777888888999;;;;;;<<<>>>AAADDDFFFHHHIIIQQQYYY___eeekkkllljjjfffddd___[[[XXXXXXYYYZZZ]]]aaaeeegggiiikkkooosss{{{{{{}}}}}}{{{pppmmmjjjiiijjjkkkmmmmmmpppssswwwzzz{{{~~~}}}qqqddd```ccciiiqqqyyyxxxzzz{{{zzzyyy~~~eeeUUUFFFAAAAAA???<<<:::<<<<<<<<<<<<===>>>??????DDDAAAAAAEEEFFFHHHTTTccc{{{iii___VVVUUUUUUSSSQQQQQQKKKKKKKKKJJJIIIHHHGGGFFFGGGGGGGGGGGGGGGHHHHHHHHHFFFGGGHHHJJJKKKKKKKKKKKKJJJFFFFFFKKKOOONNNOOORRRLLLKKKJJJKKKLLLLLLKKKJJJHHHHHHHHHHHHGGGGGGGGGGGGGGGFFFEEEGGGIIIJJJIIIHHHJJJIIILLLTTTVVVPPPHHHDDDBBBBBBAAA@@@AAABBBCCCDDDCCCCCCDDDCCCCCCAAA@@@@@@>>><<<:::999;;;<<<<<<<<<=========>>>??????@@@@@@FFFHHHJJJIIIEEECCCDDDFFFGGGFFFGGGIIIKKKSSSdddtttvvvvvv}}}xxxtttrrrrrrtttuuussssssssssssrrrrrrrrrrrrsssssssssrrrrrrrrrqqqqqqkkkjjjiiihhhiiikkkmmmnnnlllkkkjjjjjjlllpppsssuuuzzz|||~~~~~~|||zzz|||~~~wwwfffYYY999999999::::::;;;;;;<<<::::::999999999999::::::<<<<<<===???BBBEEEHHHJJJPPP\\\kkkvvv{{{rrrnnnhhhccc```_________cccdddhhhmmmqqquuuwwwxxxxxxwwwwwwxxxxxxuuuqqqmmmfffgggggggggfffgggkkknnnppptttyyy{{{|||rrreee\\\\\\aaafffmmmtttzzz|||~~~~~~sssWWWLLLBBB??????===;;;:::<<<<<<<<<<<<===>>>???@@@EEE@@@BBBHHHLLLQQQcccwwwsss^^^XXXUUUTTTSSSPPPPPPRRRKKKJJJIIIHHHGGGFFFFFFFFFGGGGGGGGGHHHHHHHHHIIIIIIHHHIIIJJJKKKLLLKKKJJJJJJKKKIIIKKKQQQSSSPPPNNNNNNJJJIIIIIIIIIKKKKKKJJJHHHGGGGGGFFFFFFFFFFFFGGGHHHGGGGGGFFFHHHJJJKKKJJJIIIHHHHHHLLLTTTWWWQQQIIIEEEBBBBBBBBBAAABBBCCCCCCDDDDDDDDDDDDCCCBBB@@@>>>===:::777555555777:::;;;;;;======>>>??????@@@AAAAAAEEEEEEEEEEEEDDDCCCBBBBBBEEECCCEEEHHHJJJQQQ^^^kkkzzzyyyyyyvvvrrrooommmnnnppprrrpppppppppppppppqqqqqqqqqrrrrrrrrrqqqqqqqqqqqqqqqllljjjiiihhhhhhjjjkkkmmmiiiiiihhhiiikkknnnqqqssswwwyyy{{{||||||}}}~~~~~~|||{{{}}}~~~ooobbbVVVNNN333444555666777999::::::;;;::::::999999::::::;;;======>>>@@@CCCGGGJJJLLLVVVfffzzzxxxsssmmmhhhfffddddddccckkklllooovvv~~~vvvuuuttttttrrrnnniiieeeaaaeeegggfffddddddiiinnnoootttxxxzzz{{{~~~kkk___WWWZZZ```dddiiiooo}}}|||eeeOOOGGGAAA@@@@@@===<<<<<<<<<<<<<<<<<<===>>>@@@@@@CCC???CCCLLLTTT]]]ssseeeWWWTTTSSSTTTQQQMMMNNNRRRLLLJJJHHHFFFEEEEEEEEEFFFHHHHHHHHHIIIIIIJJJJJJJJJJJJJJJLLLLLLLLLKKKJJJIIILLLKKKNNNTTTUUUPPPKKKJJJHHHGGGGGGHHHIIIIIIHHHFFFGGGFFFEEEEEEEEEFFFGGGHHHHHHGGGGGGIIIKKKKKKJJJIIIEEEDDDIIIRRRVVVQQQJJJFFFCCCCCCBBBBBBCCCCCCDDDDDDFFFFFFFFFEEECCCAAA???===777555333333666888::::::===>>>>>>???@@@AAAAAAAAA???>>>===???AAABBBBBBAAACCCBBBCCCGGGKKKPPPZZZeee}}}}}}pppnnnllliiiiiikkkmmmooommmmmmnnnnnnooopppppppppqqqqqqqqqpppppppppppppppmmmkkkiiihhhggghhhiiijjjffffffgggiiikkknnnqqqsssuuuwwwyyyzzzzzz{{{}}}~~~|||~~~~~~}}}|||~~~mmm\\\TTTNNNIII666777888999999:::999999999:::<<<;;;::::::;;;===:::999===DDDFFFFFFLLLUUUgggzzz~~~qqqiiicccaaa```___aaafffiiirrr|||yyyrrrkkkgggfffddd```\\\[[[^^^bbbeeegggiiilllnnnrrrtttxxx|||~~~jjj___XXX\\\```ccclllwwwiiiUUUHHHEEEAAA>>>;;;;;;;;;<<<<<<<<<===>>>???@@@@@@AAABBBEEEHHHMMMZZZqqqmmm^^^UUUTTTSSSRRRPPPNNNMMMMMMJJJGGGDDDCCCDDDFFFGGGHHHJJJIIIHHHGGGGGGGGGHHHHHHJJJHHHHHHJJJJJJGGGGGGJJJNNNJJJIIILLLMMMKKKKKKLLLJJJJJJJJJIIIGGGFFFGGGHHHGGGHHHIIIIIIHHHGGGHHHJJJHHHHHHIIIKKKMMMLLLJJJHHHIIIHHHHHHKKKMMMLLLGGGCCCAAA@@@@@@@@@AAABBBDDDEEEHHHFFFDDDBBBBBB@@@>>><<<555444333333444888;;;======>>>???AAAAAAAAAAAA@@@BBBAAAAAA@@@@@@@@@AAAAAABBBBBBAAAAAADDDJJJSSSXXXrrr{{{wwwkkk^^^XXX\\\dddkkkmmmlllmmmnnnoooooopppppppppoooppppppppppppoooooonnnllliiieeeeeehhhjjjjjjiiiggggggggghhhjjjlllooopppssssssuuuvvvxxxzzz{{{{{{~~~}}}||||||~~~{{{lll]]]RRRLLLHHHFFF888888999:::;;;;;;;;;;;;999;;;<<<<<<::::::<<<===>>>===AAAFFFIIIMMMXXXdddxxxvvvccc]]]YYYYYYZZZZZZ^^^ccciiisssjjjddd]]]YYYYYYXXXTTTQQQTTTWWW\\\```cccfffjjjmmmnnnqqquuuxxx{{{~~~jjj___YYY]]]bbbfffppp{{{{{{___NNNEEECCC@@@===<<<<<<===>>>===>>>>>>???@@@AAABBBBBBDDDFFFJJJTTTfff~~~iii]]]TTTTTTSSSQQQPPPNNNMMMMMMKKKHHHEEEDDDFFFHHHIIIIIIJJJIIIHHHGGGHHHJJJLLLMMMKKKHHHGGGIIIIIIGGGGGGKKKPPPJJJGGGJJJLLLKKKIIIIIIHHHIIIHHHGGGEEEEEEFFFHHHFFFGGGHHHHHHGGGGGGHHHIIIHHHHHHHHHJJJLLLLLLJJJHHHIIIHHHGGGIIIKKKJJJGGGDDDBBBBBBAAAAAABBBCCCDDDEEEGGGEEECCCBBBAAA@@@>>><<<555444222111111333666888999:::<<>>@@@@@@CCCGGGLLLWWWjjj{{{xxxfffUUUQQQOOORRRTTTVVV[[[aaahhhtttuuuZZZUUUOOOLLLKKKLLLJJJHHHLLLPPPTTTYYY]]]aaafffiiikkknnnrrrvvvyyy|||}}}kkk```ZZZ___eeejjjuuunnnXXXKKKBBBAAA???=========???@@@>>>??????AAABBBCCCCCCDDDFFFFFFLLL]]]vvvvvvaaaZZZSSSSSSRRRQQQOOONNNMMMMMMKKKIIIFFFFFFHHHJJJKKKKKKJJJIIIHHHHHHIIILLLPPPRRRLLLHHHFFFHHHHHHFFFHHHLLLSSSJJJDDDHHHLLLKKKHHHFFFFFFFFFFFFDDDCCCCCCEEEGGGDDDFFFGGGGGGFFFFFFGGGHHHHHHHHHHHHJJJKKKKKKIIIGGGHHHGGGFFFFFFGGGGGGFFFDDDDDDDDDCCCCCCCCCCCCDDDEEEFFFDDDBBBAAA@@@@@@===<<<555333111000000222555777999:::<<<>>>???@@@AAAAAABBBBBBBBBAAAAAABBBBBBCCCDDDCCCAAA@@@???BBBHHHLLLTTTaaawwwtttfffUUUIIIHHHOOOWWW\\\___bbbeeeiiikkklllkkkkkkllllllmmmmmmlllkkkkkkjjjhhhfffddddddeeefffgggfffffffffeeeffffffggghhhiiigggiiikkkooossswwwzzz|||{{{|||}}}~~~~~~~~~}}}}}}|||||||||zzz}}}ttteeeWWWRRRKKKFFFCCCBBBAAA@@@:::;;;<<<===>>>>>>>>>>>>;;;<<<===<<<;;;;;;===??????AAADDDHHHRRReeeiiiZZZQQQNNNMMMOOOQQQTTTZZZaaajjjwww~~~dddSSSOOOKKKHHHIIIIIIIIIHHHIIILLLPPPTTTXXX\\\aaadddhhhlllqqquuuyyy|||oooccc]]]aaagggmmmyyyxxx```OOOGGGAAA@@@???=========>>>???>>>>>>???AAABBBCCCDDDDDDGGGFFFOOOfffjjjZZZVVVRRRQQQQQQPPPOOONNNMMMMMMJJJHHHFFFGGGIIIKKKKKKKKKKKKJJJHHHHHHIIILLLPPPRRRLLLGGGEEEGGGGGGFFFHHHMMMVVVKKKDDDGGGLLLLLLGGGDDDDDDEEEEEECCCBBBBBBDDDFFFCCCDDDFFFFFFEEEEEEFFFHHHHHHHHHGGGIIIJJJJJJHHHGGGGGGFFFDDDDDDDDDDDDEEEEEEEEEEEEEEEDDDDDDDDDDDDDDDDDDBBBAAA@@@@@@???>>><<<555333111000111444888:::<<<<<<======>>>>>>??????BBBBBBBBBAAABBBBBBCCCCCCCCCCCCAAA@@@???AAAEEEIIINNNYYYnnnzzzttthhhVVVGGGBBBEEEMMMSSSVVVYYY___dddggghhhhhhgggjjjjjjjjjjjjjjjiiihhhggggggfffeeedddeeefffffffffffffffffffffffffffffffffeeefffhhhkkkooosssvvvyyyvvvwwwyyy|||}}}~~~~~~~~~zzzzzz{{{{{{{{{{{{{{{{{{yyy{{{~~~~~~wwwkkk]]]RRRJJJGGGCCCAAAAAAAAA@@@???:::;;;<<<===>>>>>>>>>>>>=========<<<;;;<<<>>>@@@???CCCGGGMMM]]]xxxxxxeeeXXXRRROOOMMMNNNOOOQQQYYYaaarrrpppWWWRRRPPPMMMLLLLLLMMMMMMMMMKKKNNNPPPSSSUUUXXX]]]```dddiiioootttxxx{{{ttthhh```dddjjjqqq~~~dddQQQEEE@@@BBBAAA???>>>===<<<=========>>>???@@@AAACCCDDDDDDGGGGGGTTTooo{{{bbbXXXVVVPPPPPPOOOOOONNNNNNNNNMMMJJJHHHFFFGGGHHHJJJJJJJJJLLLJJJIIIGGGHHHJJJLLLNNNKKKGGGEEEFFFGGGFFFIIIMMMXXXMMMEEEHHHMMMMMMHHHEEEDDDEEEFFFEEECCCCCCDDDEEEBBBDDDEEEEEEEEEEEEGGGHHHIIIGGGGGGGGGIIIIIIHHHFFFFFFEEEDDDCCCBBBBBBDDDEEEEEEEEEEEEEEEEEEEEEDDDDDDCCCBBB@@@@@@@@@@@@>>>===888666333111111444777:::999::::::;;;<<<======>>>AAAAAAAAAAAAAAABBBCCCDDDAAABBBBBBAAA@@@BBBEEEHHHKKKRRRcccwwwtttsssjjj[[[LLLCCCAAAEEEIIIMMMQQQXXX^^^ccceeeffffffiiiiiiiiihhhgggfffeeeeeeffffffffffffeeeeeefffgggfffffffffffffffeeeeeedddfffffffffgggjjjmmmppprrrqqqrrruuuxxxyyyzzzzzzzzzwwwwwwwwwwwwxxxxxxxxxxxxwwwyyy|||}}}}}}|||}}}~~~}}}~~~}}}~~~~~~~~~wwwjjj```VVVLLLFFFFFFDDDAAA@@@@@@???===<<<;;;<<<===>>>????????????>>>>>>===<<<;;;<<>>===<<<<<<<<<======???@@@BBBCCCDDDEEEHHHLLL]]]yyyqqq___XXXVVVNNNNNNNNNNNNNNNNNNNNNNNNJJJIIIGGGHHHIIIJJJIIIHHHKKKKKKIIIHHHHHHHHHIIIIIIIIIFFFDDDGGGGGGFFFHHHLLLXXXNNNGGGHHHLLLLLLIIIHHHFFFHHHJJJJJJGGGEEEDDDEEEBBBDDDEEEFFFEEEFFFGGGIIIIIIGGGFFFFFFGGGHHHGGGEEEEEEEEEEEECCCAAAAAACCCEEECCCDDDEEEEEEEEEEEEDDDDDDCCCAAA@@@@@@AAAAAA@@@>>>===:::666222222444777:::888888888999;;;<<<>>>???@@@@@@@@@@@@AAABBBCCCCCC@@@AAABBBBBBBBBCCCEEEHHHFFFJJJWWWkkk|||{{{sssrrrnnnfffYYYLLLCCCAAABBBGGGKKKQQQXXX^^^bbbeeeeeehhhhhhhhhgggfffeeedddccceeefffggggggeeeeeefffgggeeeeeeffffffeeeeeedddccceeedddccccccdddfffhhhjjjkkkmmmpppsssuuuvvvvvvuuutttttttttttttttttttttttttttvvvxxxyyyyyyzzz{{{|||zzz{{{||||||}}}}}}}}}|||zzz{{{|||{{{{{{|||}}}yyyxxx||||||qqqddd[[[TTTLLLFFFEEECCCAAA???======<<<:::999===>>>???@@@@@@AAAAAA@@@??????>>><<<;;;<<<@@@BBBDDDHHHNNNYYYrrr{{{gggXXXQQQKKKHHHGGGGGGIIIPPP^^^kkkkkkZZZQQQMMMOOOQQQSSSRRRPPPOOONNNPPPQQQRRRSSSTTTWWW\\\___bbbgggpppwww}}}{{{nnngggllluuu{{{___PPPJJJEEEBBB>>>>>>>>>======>>>>>>>>>>>>>>>@@@AAACCCEEEFFFGGGJJJSSSiiizzzddd[[[VVVRRRMMMMMMMMMMMMNNNNNNNNNNNNMMMKKKJJJJJJJJJJJJIIIHHHJJJJJJJJJJJJIIIIIIHHHHHHGGGEEEEEEHHHHHHGGGHHHKKKUUUMMMGGGHHHJJJIIIIIIJJJIIIKKKNNNOOOLLLHHHEEEDDDBBBDDDFFFFFFFFFFFFHHHJJJIIIGGGFFFFFFGGGGGGFFFEEECCCEEEFFFDDDBBBAAACCCEEEAAABBBDDDEEEEEEEEEEEEDDDCCCBBBAAAAAABBBBBBAAA@@@???<<<999777888<<>>>>>>>>>>>???????????????@@@AAABBBBBB@@@AAABBBBBBAAAAAACCCEEEDDDEEENNN```rrr}}}{{{xxxtttvvvuuukkk\\\MMMDDDAAACCCFFFLLLTTT[[[```dddfffgggggggggfffeeedddcccbbbbbbeeegggfffdddcccdddfffbbbcccdddddddddcccbbbaaabbbaaa___^^^^^^```bbbdddfffiiilllppprrrrrrrrrqqqrrrqqqqqqqqqqqqqqqqqqqqqppprrrtttuuuuuuvvvxxxyyyxxxxxxyyyyyyzzzzzzyyyyyyxxxyyyyyywwwuuuuuuxxxzzzxxxzzzzzzwwwsssssswww{{{|||vvvkkk```VVVQQQLLLFFFCCCEEE@@@>>><<<;;;;;;;;;:::999??????@@@AAABBBBBBBBBBBB??????>>><<<;;;===@@@CCCCCCGGGMMMYYYtttoooXXXJJJEEEHHHEEEDDDFFFJJJSSSdddsssttt^^^TTTQQQKKKNNNRRRTTTSSSQQQOOONNNOOOPPPRRRSSSTTTXXX]]]```eeekkkttt|||{{{pppiiiooozzzkkkQQQGGGEEEBBB???;;;<<<<<<===>>>??????@@@???@@@AAACCCEEEFFFHHHHHHLLLXXXqqq~~~lll[[[UUURRRMMMMMMMMMMMMMMMMMMNNNNNNNNNOOOMMMLLLKKKLLLKKKJJJHHHHHHIIIJJJKKKKKKJJJIIIHHHFFFDDDEEEHHHIIIGGGGGGJJJRRRLLLGGGHHHHHHGGGHHHKKKJJJNNNQQQRRROOOJJJFFFDDDBBBDDDFFFFFFFFFGGGIIIJJJIIIGGGEEEEEEFFFGGGFFFEEECCCEEEFFFEEECCCAAACCCEEE@@@AAACCCDDDEEEEEEEEEDDDCCCBBBAAAAAACCCCCCBBBAAA>>><<<;;;;;;???FFFMMMRRROOOMMMIIIEEEBBB???>>>>>>>>>>>>>>>>>>???@@@AAABBB@@@BBBCCCBBB@@@@@@AAABBBDDDDDDKKK[[[kkkuuuzzz}}}~~~}}}~~~yyy~~~zzziiiVVVIIICCCAAADDDJJJQQQYYY___dddggggggggggggfffeeedddbbbaaaaaacccfffeeecccaaabbbddd```aaabbbccccccbbbaaa```___^^^\\\ZZZZZZ\\\___```dddfffjjjmmmppppppooooooppppppppppppoooooonnnnnnmmmoooqqqrrrrrrsssuuuwwwvvvwwwwwwxxxxxxxxxwwwwwwvvvwwwwwwuuuqqqppprrrtttrrruuuvvvtttqqqqqquuuzzz{{{{{{}}}zzzmmmeeeaaa]]]RRRIIIGGGCCC===<<>><<<::::::;;;======<<>>???@@@AAA@@@>>>>>>???@@@FFFMMMPPPVVVrrrvvv]]]LLLFFFDDDCCCBBBCCCEEEHHHRRReeewww~~~jjjXXXPPPNNNJJJJJJJJJJJJIIIIIIIIIIIINNNKKKMMMTTTYYYYYY]]]dddllltttqqqppprrrvvv}}}wwwXXXLLLGGG@@@===@@@<<<======>>>>>>>>>>>>===AAADDDFFFFFFDDDDDDHHHLLLOOOfffooo\\\UUURRRNNNKKKFFFEEEEEEFFFJJJLLLMMMMMMMMMMMMLLLKKKKKKKKKKKKKKKJJJIIIIIIHHHHHHIIIIIIJJJHHHHHHHHHIIIIIIIIIIIIJJJMMMJJJHHHHHHIIIJJJJJJIIIKKKLLLNNNNNNMMMJJJGGGEEEEEEEEEEEEDDDEEEEEEFFFGGGJJJIIIHHHFFFEEEDDDDDDDDDDDDEEEEEEFFFFFFFFFEEEEEEDDDDDDDDDDDDDDDDDDDDDDDDAAABBBBBBAAA@@@???@@@BBBCCCDDD>>>999EEE]]]mmmooollljjjcccYYYRRROOOIIIBBBDDDBBB???>>>>>>@@@@@@@@@BBBAAAAAA@@@AAABBBDDDEEEEEEDDDIIIVVVbbbjjjssszzz}}}}}}mmmUUUFFFFFFDDDFFFMMMUUU\\\aaaeeefffeeecccccccccbbb___]]]bbbbbbaaaaaa``````______aaaaaabbbbbbbbbaaaaaa```\\\\\\\\\[[[[[[[[[[[[ZZZ___bbbfffiiikkklllkkkjjjiiikkklllnnnnnnlllkkkjjjhhhggghhhlllrrruuuuuusssttttttsssrrrrrrrrrrrrrrrvvvvvvvvvtttppplllkkkkkkqqqqqqrrrrrrrrrqqqppppppxxxxxxyyyyyy{{{|||}}}~~~~~~wwwlllcccZZZSSSOOOKKKJJJGGGDDDAAA@@@??????:::::::::999999999888888BBBCCCDDDEEEFFFEEECCCAAAAAABBBCCCCCCAAA@@@AAABBBGGGNNNQQQXXXrrriiiTTTGGGBBBAAA??????@@@DDDHHHSSSgggzzzkkkWWWLLLHHHEEEEEEEEEFFFGGGGGGHHHHHHJJJHHHJJJRRRXXX[[[aaagggqqqyyywwwvvvyyy~~~gggPPPIIIGGGAAA???AAA<<<===>>>>>>???>>>>>>>>>@@@AAABBBDDDFFFHHHIIIJJJWWWlllhhhXXXTTTQQQNNNKKKGGGFFFFFFGGGJJJLLLMMMLLLLLLLLLKKKJJJJJJJJJJJJJJJIIIIIIHHHHHHHHHHHHIIIIIIHHHHHHIIIIIIIIIJJJJJJJJJLLLJJJHHHHHHJJJKKKKKKKKKJJJKKKLLLMMMLLLIIIFFFDDDEEEEEEEEEEEEEEEFFFGGGHHHHHHGGGFFFEEEDDDCCCCCCCCCAAAAAABBBCCCCCCDDDCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCBBBBBBBBBAAA???>>>@@@AAA@@@BBB@@@???NNNgggwwwzzzzzzzzzvvvjjj___VVVNNNGGGDDDBBB???>>>???@@@AAA@@@BBBAAAAAA@@@@@@AAABBBCCCCCCBBBGGGRRR]]]fffooowww~~~~~~}}}eeeUUUMMMLLLLLLOOOUUUZZZ```eeedddcccbbbbbbcccbbbaaa___aaaaaa``````````````````````````````____________\\\\\\[[[ZZZZZZYYYXXXXXX[[[]]]```dddfffhhhhhhhhhhhhiiikkklllkkkjjjhhhggghhhggghhhkkkooorrrrrrpppssssssssssssrrrrrrrrrqqqrrrssssssqqqnnnkkkjjjjjjmmmmmmmmmnnnnnnooooooppptttttttttuuuvvvwwwxxxyyywww{{{|||qqqkkkccc[[[TTTNNNHHHEEEHHHFFFDDDAAA???>>>======::::::999999999888888888FFFFFFGGGIIIJJJJJJGGGEEEDDDFFFGGGFFFDDDCCCCCCDDDGGGMMMQQQXXXoooqqqZZZKKKCCC???>>>======@@@DDDJJJWWWmmmpppZZZKKKDDDAAABBBBBBDDDFFFGGGIIIJJJKKKIIIKKKQQQWWW\\\bbbhhhrrr|||yyyxxx|||iiiWWWGGGDDDDDD@@@============>>>???????????????BBB@@@@@@BBBHHHMMMOOOOOOfffyyywww```UUURRRQQQNNNLLLJJJIIIHHHIIIKKKLLLLLLKKKKKKJJJJJJIIIIIIIIIIIIIIIHHHHHHGGGGGGGGGGGGHHHHHHIIIIIIIIIIIIJJJJJJJJJJJJKKKIIIHHHHHHJJJLLLLLLLLLHHHIIIJJJKKKJJJHHHEEEDDDDDDEEEEEEFFFGGGGGGHHHHHHFFFEEEDDDCCCBBBBBBBBBBBBAAAAAABBBBBBBBBCCCCCCCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCBBBAAA>>>>>>>>>@@@>>>AAACCCEEESSSjjjyyy|||yyyjjj]]]RRRKKKDDDBBB@@@???@@@AAAAAAAAABBBBBBAAA@@@@@@@@@AAAAAAAAA???CCCLLLVVV___jjjsss{{{}}}{{{hhhYYYYYYYYYWWWXXX\\\aaaeeebbb`````````bbbcccbbb```_______________````````````___^^^\\\\\\\\\]]]^^^[[[[[[ZZZYYYWWWVVVUUUUUUUUUVVVYYY\\\___aaacccdddeeefffggghhhhhhgggfffeeehhhggghhhjjjlllmmmmmmkkkoooooopppqqqpppooonnnmmmmmmnnnooonnnkkkiiihhhhhhiiihhhhhhhhhiiikkkmmmnnnmmmmmmnnnnnnoooppprrrrrrsssvvvyyy}}}yyymmmfff\\\XXXRRRMMMJJJFFFCCCAAABBBAAA@@@>>>===<<<<<<;;;:::999999999999888888888JJJIIIIIIKKKNNNMMMJJJGGGFFFHHHJJJIIIGGGEEEEEEFFFFFFKKKOOOVVVkkkeeePPPFFFBBB@@@>>>??????BBBGGGNNN\\\sss{{{cccOOOFFFCCCDDDDDDFFFHHHKKKNNNOOOPPPPPPQQQTTTXXX\\\```cccmmmxxx}}}|||nnn[[[NNNBBB@@@???<<<999999======>>>???@@@@@@@@@@@@EEECCCBBBCCCGGGOOOXXX^^^yyy|||lll[[[TTTSSSQQQNNNMMMKKKJJJJJJJJJLLLLLLKKKIIIIIIIIIHHHHHHHHHHHHHHHIIIGGGGGGFFFFFFFFFFFFGGGGGGHHHIIIIIIIIIIIIJJJJJJJJJHHHGGGEEEFFFHHHJJJKKKKKKFFFGGGHHHIIIHHHGGGEEEDDDDDDDDDEEEFFFGGGHHHHHHIIIEEEDDDCCCBBBBBBBBBBBBBBBFFFFFFEEEDDDDDDCCCCCCCCCAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBB@@@>>>===>>>???>>>BBBCCCFFFPPP```jjjmmmwww|||kkk\\\QQQJJJCCCBBB@@@@@@AAABBBBBBAAAAAAAAA@@@@@@????????????@@@>>>@@@GGGOOOXXXcccnnnzzz}}}zzziiilllmmmiiifffgggggggggbbb```______```aaaaaa___]]]]]]^^^^^^______`````````___\\\[[[ZZZ[[[\\\]]]ZZZZZZXXXWWWUUUSSSRRRQQQQQQQQQRRRTTTWWW[[[^^^``````aaabbbdddeeefffffffffggggggggghhhiiiiiihhhgggiiijjjkkklllllljjjhhhggghhhjjjkkkjjjhhhffffffggggggfffdddcccdddfffhhhiiihhhhhhhhhiiiiiikkkllllllppprrrssstttvvvzzz~~~~~~vvvooofff\\\VVVPPPMMMIIIGGGEEEDDDBBB@@@>>>>>>===<<<;;;;;;;;;;;;999999999999888888888888OOOMMMLLLNNNQQQQQQMMMHHHHHHJJJLLLLLLIIIGGGFFFFFFFFFJJJMMMSSSfffyyy___LLLDDDBBB@@@>>>@@@@@@CCCIIIQQQ```xxxlllVVVJJJGGGGGGHHHIIILLLPPPSSSUUUTTTVVVYYY[[[]]]```aaa```iiitttrrr]]]RRRIII@@@<<<;;;:::999:::===>>>???@@@AAAAAAAAAAAAEEEFFFEEEDDDFFFQQQdddrrrrrrfffZZZVVVUUUQQQOOONNNLLLKKKJJJKKKLLLLLLJJJHHHHHHHHHGGGGGGGGGGGGHHHHHHFFFFFFEEEEEEEEEEEEFFFFFFHHHHHHHHHHHHIIIIIIIIIIIIFFFDDDCCCCCCFFFHHHIIIHHHEEEFFFFFFGGGGGGFFFEEEDDDCCCDDDEEEGGGGGGHHHGGGGGGDDDCCCCCCBBBBBBBBBCCCCCCKKKIIIGGGEEECCCBBBAAAAAA????????????????????????@@@AAAAAA???===<<<===???>>>AAACCCDDDIIIRRRYYY\\\nnnzzzwwweeeVVVLLLGGGBBBAAA???@@@AAABBBBBBAAA@@@@@@@@@??????>>>======???===>>>CCCIIIPPP\\\gggsssyyy{{{}}}zzztttnnncccaaa^^^^^^______^^^]]]\\\\\\]]]]]]^^^^^^^^^___```^^^\\\ZZZYYYZZZ[[[\\\YYYXXXWWWUUUSSSQQQPPPOOONNNNNNNNNPPPRRRVVVYYY[[[YYYZZZ\\\___aaaccceeefffdddeeeeeeeeeeeedddcccccceeeggghhhiiiiiigggeeeddddddfffggggggeeeddddddeeefffdddbbb``````aaabbbcccddddddddddddeeefffggggggiiijjjjjjjjjjjjmmmppptttxxx{{{|||vvvmmmjjjfff```[[[TTTNNNJJJFFFDDDBBBAAA@@@@@@>>><<<<<<<<<<<<<<<;;;;;;::::::999999999888888888777777WWWTTTRRRSSSWWWVVVQQQLLLKKKMMMOOOOOOLLLJJJHHHHHHJJJLLLOOOUUUdddyyyqqqZZZIIIBBBAAA???===@@@@@@DDDJJJSSSccc|||sss[[[MMMIIIIIIJJJMMMQQQVVVZZZ]]]ZZZaaafffiiikkkllliiidddjjjsss{{{bbbQQQIIIDDD???;;;;;;<<<>>>???===>>>???@@@AAABBBBBBBBBCCCFFFHHHGGGKKK[[[tttkkkbbbZZZWWWUUUQQQNNNNNNKKKJJJJJJKKKLLLKKKIIIGGGGGGGGGGGGGGGGGGHHHHHHIIIEEEEEEEEEDDDDDDEEEEEEEEEGGGGGGGGGGGGHHHHHHHHHHHHEEECCCBBBBBBDDDFFFFFFFFFDDDEEEEEEFFFFFFFFFEEEEEECCCDDDEEEGGGGGGFFFEEEEEEBBBBBBBBBBBBBBBBBBCCCCCCIIIHHHEEEBBB@@@>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>??????@@@>>>===<<<>>>???===???AAABBBEEEJJJOOOSSShhhrrrwwwmmm]]]PPPGGGCCC@@@?????????AAABBBAAA@@@>>>>>>>>>???>>>>>>===<<<>>><<<===@@@CCCHHHSSS^^^jjjpppyyy~~~tttccc```^^^\\\]]]^^^]]]\\\\\\\\\\\\\\\]]]]]]]]]]]]^^^]]]\\\ZZZYYYYYYYYYZZZXXXWWWVVVTTTRRRPPPOOONNNMMMMMMMMMMMMOOOQQQSSSTTTRRRSSSVVVXXX\\\___aaabbb^^^___aaaaaa_________```dddeeeeeeffffffdddcccbbb```aaacccbbbaaa___```aaabbbaaa___]]]\\\\\\]]]]]]_______________```aaaaaadddeeeeeeeeedddeeehhhjjjjjjmmmppprrrvvvzzzxxxmmmccc^^^XXXWWWUUURRRNNNJJJGGGEEECCCAAA?????????>>>===;;;:::;;;;;;;;;;;;:::999999999888888888888777777777```\\\YYY[[[^^^]]]WWWPPPNNNPPPRRRRRRPPPMMMKKKJJJOOORRRVVVZZZeeerrr{{{~~~xxxkkkXXXJJJCCCAAA@@@???BBBBBBFFFNNNYYYkkkzzz```PPPKKKLLLNNNSSSYYY```fffjjjlllvvv~~~~~~vvvmmmmmmttt~~~hhhUUUJJJCCCBBB@@@>>>===>>>??????===>>>???AAABBBCCCCCCCCCCCCFFFKKKQQQ\\\ppp{{{ccc]]]WWWVVVSSSOOOMMMNNNIIIIIIIIIKKKLLLKKKHHHFFFGGGGGGGGGGGGGGGHHHIIIIIIEEEDDDDDDCCCCCCDDDDDDEEEEEEEEEFFFFFFFFFGGGGGGGGGFFFDDDBBBBBBCCCEEEEEEEEEDDDDDDEEEEEEFFFFFFFFFFFFCCCDDDEEEFFFFFFEEECCCBBB@@@@@@@@@@@@@@@AAABBBCCCEEEDDDAAA???>>>===>>>>>>===========================>>>>>>>>>======>>>@@@===>>>@@@BBBBBBDDDIIINNN\\\dddfff]]]QQQIIIDDD@@@>>>>>>===???@@@AAA@@@>>>;;;<<<===>>>>>>>>>===<<<;;;:::;;;>>>>>>AAAKKKUUU___eeeoooyyy~~~ttt```^^^\\\[[[\\\^^^^^^^^^\\\\\\\\\\\\\\\[[[[[[[[[[[[[[[ZZZYYYXXXWWWVVVVVVWWWVVVUUUTTTRRRQQQOOOOOOLLLLLLLLLLLLLLLLLLLLLMMMNNNOOOPPPRRRUUUWWWZZZ[[[VVVYYY[[[[[[ZZZYYY[[[\\\````````````____________[[[]]]^^^^^^\\\ZZZ[[[[[[[[[[[[[[[ZZZZZZYYYYYYYYYYYYYYYYYYXXXYYYYYYZZZ[[[]]]^^^``````______aaabbb^^^```aaacccdddhhhlllpppwwwzzzvvvtttooohhh```XXXQQQNNNKKKKKKKKKIIIGGGEEEDDDDDD@@@???>>>>>>??????===;;;999999:::::::::999777777888888888888777777777777gggccc___```cccbbb[[[TTTPPPRRRUUUUUURRROOOMMMLLLTTTXXX\\\```fffmmmpppqqqrrrhhhXXXLLLFFFCCCCCCBBBDDDEEEJJJSSS___rrrdddTTTNNNOOORRRXXX```hhhpppttttttnnnuuu}}}uuu\\\MMMFFFBBBDDDDDDAAA???>>>===;;;===>>>@@@AAABBBCCCCCCCCCEEEHHHOOOZZZlllooo^^^YYYTTTTTTQQQMMMLLLNNNHHHHHHIIIJJJKKKKKKHHHFFFHHHGGGGGGGGGHHHIIIIIIJJJDDDDDDCCCCCCCCCCCCDDDDDDDDDEEEEEEEEEEEEFFFFFFFFFGGGEEECCCCCCDDDEEEEEEDDDDDDDDDEEEEEEFFFFFFGGGGGGCCCDDDEEEFFFEEECCCAAA@@@>>>>>>>>>>>>???@@@AAAAAACCCBBB@@@>>>>>>???@@@AAA========================;;;===>>>=========???AAA??????@@@AAA@@@@@@DDDJJJNNNTTTVVVOOOGGGCCCAAA???=========>>>@@@@@@???>>>:::;;;<<<>>>>>>>>>======999999:::<<<;;;===EEEOOOWWW]]]gggrrr}}}ppp^^^\\\ZZZZZZ\\\___``````]]]\\\\\\\\\[[[[[[ZZZZZZYYYYYYYYYXXXWWWVVVTTTSSSVVVUUUUUUSSSRRRQQQPPPOOOLLLLLLKKKKKKJJJIIIHHHHHHLLLMMMMMMNNNPPPRRRTTTUUUQQQTTTWWWWWWVVVVVVXXXZZZ\\\[[[ZZZZZZYYYYYYZZZZZZYYYZZZ[[[ZZZXXXWWWWWWWWWVVVVVVWWWXXXXXXXXXWWWWWWUUUTTTTTTTTTTTTTTTUUUVVVSSSUUUWWWWWWWWWVVVWWWXXXWWWXXXYYYYYYZZZ\\\```cccdddhhhlllppprrruuuxxx{{{xxxqqqllliiiccc```\\\WWWQQQLLLHHHFFFBBBBBBCCCAAA@@@>>>??????:::999999:::;;;;;;:::888888888999999999777666555888888888888777777777777nnnmmmkkkhhhiiiiiibbbYYYYYYYYYYYYYYYXXXVVVTTTSSSUUUZZZfffqqqqqqiiigggkkkpppiii]]]RRRJJJGGGGGGHHHHHHKKKOOOXXXgggfffTTTVVVQQQQQQ[[[kkkzzzwwwvvvtttxxxbbbPPPGGGCCC??????>>>===============????????????AAADDDEEEDDDIIIKKKVVVmmmqqqjjjYYYVVVSSSQQQQQQPPPNNNLLLKKKJJJIIIHHHGGGHHHIIIIIIIIIJJJJJJKKKJJJHHHGGGFFFDDDDDDDDDEEEFFFFFFDDDCCCEEEEEEEEEEEEDDDDDDDDDDDDEEEDDDDDDDDDDDDDDDEEEEEEFFFFFFEEEDDDDDDDDDDDDDDDCCCCCCCCCBBBAAA@@@>>>===>>>===============>>>???AAAAAAAAAAAAAAAAAAAAAAAA??????@@@@@@@@@??????>>>>>>????????????@@@@@@@@@?????????@@@AAABBBCCCDDDDDDDDDDDDDDDDDDBBB===:::;;;;;;<<<<<<===>>>>>>>>>======<<<;;;::::::999999::::::;;;;;;===>>>???@@@JJJMMMXXXiiiwwwxxxppp```]]][[[\\\```bbbaaa```\\\[[[\\\]]]]]]\\\YYYVVVXXXXXXXXXWWWVVVUUUSSSSSSVVVUUUTTTRRROOOMMMJJJIIIIIIIIIHHHGGGFFFFFFFFFFFFGGGGGGGGGHHHHHHIIIIIIJJJKKKKKKLLLNNNPPPRRRTTTUUUVVVWWWXXXYYYXXXVVVTTTRRRSSSTTTUUUTTTRRRQQQQQQRRRPPPQQQQQQRRRRRRQQQQQQPPPOOOOOOOOOOOOOOOOOOOOOOOOSSSTTTUUUSSSQQQPPPQQQRRRPPPOOONNNNNNNNNPPPRRRTTT\\\[[[[[[[[[]]]```ccceeelllmmmooorrrvvvyyy{{{}}}}}}{{{~~~~~~}}}{{{yyyxxxwwwvvvvvvssspppjjjeee```\\\ZZZTTTRRRNNNJJJGGGFFFEEEEEE??????>>>===============<<<;;;:::999888888888888777777777777777777777777<<<:::999777666555666666rrrrrrooolllmmmnnniiiaaa]]]]]]]]]]]][[[ZZZXXXWWW^^^dddoooyyyyyyqqqnnnqqqrrrlllaaaWWWNNNJJJIIIIIIHHHLLLUUUaaasssjjjYYYQQQPPPSSS]]]nnn~~~vvvqqqttt~~~oooWWWIIIDDDBBB??????>>>===============???@@@AAAAAACCCFFFGGGGGGPPPUUUddd~~~}}}ggg___WWWUUURRRPPPPPPOOOMMMLLLJJJJJJIIIHHHHHHHHHHHHHHHHHHIIIJJJJJJJJJIIIHHHGGGCCCBBBBBBCCCDDDEEEFFFEEEEEEEEEEEEEEEDDDDDDDDDDDDEEEDDDDDDDDDDDDDDDEEEEEEFFFEEEEEEDDDDDDDDDDDDDDDCCCCCCCCCBBBAAA@@@>>>>>>???>>>>>>=========>>>>>>????????????????????????<<<===>>>???????????????>>>>>>?????????@@@@@@@@@@@@??????@@@@@@AAABBBCCCCCCBBBAAA@@@AAA@@@>>><<<<<<<<<<<<<<<===============<<<<<<;;;::::::999999:::::::::;;;<<<===>>>???EEEHHHRRRaaaoooyyysssjjj___]]][[[]]]```bbbaaa______]]]ZZZYYYZZZYYYXXXWWWXXXXXXXXXWWWVVVTTTSSSRRRTTTTTTSSSQQQOOOLLLJJJIIIIIIHHHGGGGGGFFFFFFFFFFFFDDDDDDEEEEEEFFFFFFFFFFFFGGGGGGHHHIIIKKKMMMOOOPPPOOOPPPQQQQQQPPPOOOMMMKKKMMMNNNOOONNNLLLKKKLLLMMMLLLMMMMMMNNNNNNMMMMMMLLLLLLLLLLLLLLLLLLLLLLLLLLLMMMMMMMMMNNNNNNMMMLLLLLLLLLLLLKKKJJJKKKMMMOOOPPPSSSRRRRRRRRRSSSVVVXXXZZZXXXYYY[[[]]]```ccceeefffkkklllnnnooonnnllljjjhhhhhhgggfffeeecccbbbaaa```___]]][[[WWWTTTPPPNNNLLLMMMKKKGGGDDDAAA@@@@@@@@@===<<<<<<;;;::::::;;;;;;:::999888777666666666666777777777777777777777777999888777666555666777777xxxxxxuuuqqqsssuuurrrlllddddddcccbbbaaa___]]]\\\iiippp{{{}}}yyyzzzyyytttkkkaaaXXXRRRNNNMMMLLLSSS___ppplll\\\QQQSSSXXXaaarrr|||pppjjjjjjrrruuu[[[KKKDDDBBBCCC??????>>>=========>>>>>>???@@@BBBCCCDDDFFFIIILLLUUUbbbzzznnn^^^VVVUUURRRPPPOOONNNNNNLLLKKKIIIIIIIIIHHHHHHHHHGGGGGGGGGHHHIIIIIIJJJJJJIIIIIICCCCCCCCCDDDEEEFFFGGGGGGDDDDDDDDDDDDEEEEEEEEEEEEEEEEEEDDDCCCCCCDDDDDDEEEEEEEEEDDDDDDDDDDDDDDDDDDCCCCCCBBBAAA@@@??????>>>@@@@@@???>>>=========>>>????????????????????????:::;;;===>>>??????@@@@@@>>>>>>>>>?????????@@@@@@@@@@@@@@@??????@@@@@@AAABBB@@@>>>===>>>??????>>>=========<<<<<<<<<<<<;;;<<<<<<;;;;;;::::::999999999999999999:::<<<===>>>>>>AAAIIIVVVcccnnn{{{tttiiicccaaaaaacccfffgggeeeaaaccc```[[[XXXXXXXXXXXXXXXXXXXXXWWWVVVUUUSSSQQQPPPRRRQQQQQQOOONNNKKKJJJIIIIIIHHHGGGFFFEEEEEEEEEEEEAAAAAAAAABBBBBBBBBBBBBBBBBBBBBCCCDDDEEEGGGIIIJJJHHHIIIIIIJJJIIIHHHFFFEEEHHHIIIJJJIIIHHHGGGHHHIIIGGGGGGHHHHHHHHHHHHGGGGGGHHHHHHHHHHHHHHHHHHHHHHHHHHHGGGGGGIIILLLLLLIIIEEEGGGFFFFFFEEEFFFHHHIIIJJJJJJJJJIIIIIIJJJKKKMMMNNNJJJKKKLLLNNNPPPRRRSSSTTTTTTVVVWWWXXXXXXWWWUUUTTTVVVUUUTTTSSSRRRQQQPPPOOOMMMMMMLLLJJJIIIHHHFFFFFFEEECCCAAA???===<<<<<<===<<<;;;;;;:::::::::::::::999888777777666666666666777777777777777777777777555555555555555666777888{{{{{{xxxuuuvvvyyyyyytttkkkjjjiiihhhgggeeeddddddpppxxxwwwnnnddd\\\WWWTTTVVV^^^mmmiii[[[WWWYYY[[[bbbuuuttthhhaaa^^^eeerrr|||bbbPPPFFFBBBBBBCCC??????>>>>>>===>>>>>>???@@@@@@CCCDDDCCCCCCIIIOOOZZZrrrsssddd[[[TTTRRRPPPNNNMMMMMMMMMLLLKKKHHHHHHHHHHHHHHHGGGGGGFFFGGGGGGHHHIIIJJJJJJJJJKKKEEEGGGJJJJJJJJJHHHGGGGGGCCCCCCDDDDDDEEEEEEFFFFFFEEEEEEDDDCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCCCCBBBAAA@@@@@@?????????BBBAAA@@@>>>>>>=========@@@@@@@@@@@@@@@@@@@@@@@@======>>>??????@@@??????>>>>>>>>>>>>????????????AAA@@@???>>>>>>>>>>>>>>>???>>>>>>@@@AAABBBAAA@@@>>>>>>===<<<<<<;;;::::::;;;;;;;;;:::::::::999999888888888888999:::;;;<<<;;;<<>>>>>>>>???@@@BBBCCCDDDEEEEEEFFFFFFFFFEEEDDDCCCEEEGGGHHHGGGEEEEEEFFFGGGBBBCCCCCCDDDDDDCCCCCCBBBDDDDDDDDDDDDDDDDDDDDDDDDGGGEEEEEEHHHMMMNNNIIICCCBBBBBBBBBBBBBBBDDDEEEFFFGGGGGGFFFEEEEEEFFFGGGGGGFFFFFFGGGHHHIIIJJJKKKLLLHHHIIIKKKLLLMMMLLLKKKKKKMMMLLLLLLKKKJJJIIIHHHHHHGGGGGGFFFFFFFFFFFFEEEEEEAAAAAA???>>>============<<<<<<;;;;;;;;;;;;<<<<<<::::::999888888888888888777777777777777777777777444444444444555555666666|||}}}{{{wwwxxx||||||zzzqqqqqqpppooonnnmmmllllllttt}}}yyyppphhhbbb___aaajjjzzz{{{fff\\\[[[[[[[[[bbbyyyvvvfff___\\\[[[fffuuu~~~jjjUUUJJJFFFAAA???@@@??????>>>>>>>>>>>>??????@@@@@@BBBDDDBBBAAAKKKVVVggg}}}fff]]]XXXSSSOOONNNLLLKKKLLLMMMLLLKKKHHHHHHGGGGGGGGGFFFFFFFFFGGGGGGGGGHHHIIIJJJKKKLLLIIIMMMRRRRRROOOJJJFFFEEEBBBCCCCCCDDDEEEFFFFFFGGGEEEEEEDDDCCCCCCCCCCCCCCCBBBCCCDDDDDDDDDDDDCCCCCCBBBBBB@@@???????????????AAA@@@???>>>============@@@@@@@@@@@@@@@@@@@@@@@@AAAAAAAAAAAA@@@@@@???>>>======>>>>>>>>>?????????@@@???>>>>>>===============>>>AAADDDGGGFFFCCCAAA>>>>>>===<<<;;;:::999999:::::::::::::::999999999888888888888888999:::;;;;;;;;;???GGGNNNYYYhhhvvv}}}{{{zzz|||}}}|||xxxtttfffdddaaa______]]][[[YYYYYYYYYXXXVVVTTTQQQOOONNNMMMMMMMMMMMMLLLKKKJJJIIIIIIHHHFFFEEEDDDCCCCCCCCC@@@@@@@@@???>>>>>>>>>===<<<<<<<<<======???@@@@@@BBBBBBCCCCCCBBBBBBAAAAAABBBCCCDDDCCCBBBBBBCCCDDD@@@@@@@@@AAAAAA@@@@@@@@@AAAAAAAAAAAAAAAAAAAAAAAAFFFCCCCCCGGGLLLLLLGGGBBB?????????@@@@@@AAABBBBBBEEEEEEDDDDDDCCCCCCCCCCCCAAAAAAAAABBBCCCCCCCCCDDDBBBCCCDDDFFFFFFFFFFFFEEEDDDCCCCCCCCCBBBBBBAAAAAAAAAAAAAAA@@@@@@@@@@@@@@@??????>>>>>>>>>>>>>>>>>>;;;;;;::::::::::::;;;;;;999999888888777888888888666666666666666666666666555555555555555444444333}}}~~~zzzzzz~~~}}}xxxwwwvvvvvvuuuuuuvvvvvvyyy}}}wwwsssqqqqqqyyyttteee___[[[\\\\\\ccczzz|||hhh]]][[[\\\]]]jjjxxxjjjYYYJJJFFFDDD???<<<===??????>>>>>>>>>???@@@@@@AAA@@@CCCFFFDDDEEESSSddd~~~ooo___XXXTTTPPPNNNLLLKKKKKKLLLMMMMMMLLLHHHGGGFFFEEEEEEEEEFFFGGGHHHGGGGGGHHHIIIJJJKKKLLLKKKPPPUUUUUUPPPJJJEEEDDDAAABBBCCCDDDEEEFFFGGGHHHEEEEEEDDDCCCBBBBBBBBBBBBAAABBBCCCDDDEEEDDDCCCBBBBBBAAA@@@>>>>>>>>>???@@@??????>>>===<<<<<<<<<===>>>>>>>>>>>>>>>>>>>>>>>>CCCCCCCCCBBBAAA@@@>>>>>>=========>>>>>>>>>?????????>>>======<<<<<<<<<<<<;;;===AAAFFFHHHGGGCCC@@@======<<<<<<;;;:::999999::::::::::::999999999999888888888888888999::::::;;;;;;>>>BBBGGGNNN^^^lll|||~~~mmmkkkgggeeeccc```\\\YYY[[[ZZZYYYWWWTTTQQQOOONNNLLLLLLLLLMMMLLLLLLKKKKKKHHHGGGFFFDDDCCCBBBBBBBBBAAAAAA@@@???>>>>>>======<<<<<<;;;;;;<<<===>>>>>>>>>>>>==================<<<===???>>>======>>>???===>>>>>>??????>>>>>>===????????????????????????AAA@@@@@@BBBEEEEEEBBB???======>>>>>>??????@@@@@@AAAAAAAAA@@@@@@@@@??????===>>>>>>>>>>>>?????????======>>>???????????????>>>>>>>>>>>>>>>=====================<<<<<<<<<<<<;;;<<<<<<<<<<<<<<<<<<;;;888777777777777888888999777666666555555666666666666666666666666666666666555555666666555444333333~~~~~~}}}}}}|||}}}~~~kkkcccccc\\\aaadddhhhxxxppp___YYYZZZ^^^```jjjuuuuuu[[[MMMBBBCCCBBB===;;;@@@??????>>>>>>??????@@@AAABBBAAADDDIIIIIILLL```vvvuuuddd\\\VVVQQQOOOMMMKKKJJJKKKMMMNNNNNNMMMJJJHHHEEECCCBBBDDDFFFHHHIIIHHHHHHGGGHHHIIIJJJKKKJJJNNNRRRPPPKKKFFFDDDEEEAAAAAABBBDDDEEEGGGHHHHHHEEEEEEDDDCCCBBBBBBBBBBBB@@@AAACCCDDDEEEDDDCCCBBBBBBAAA???>>>===>>>@@@@@@======<<<<<<<<<<<<<<<===>>>>>>>>>>>>>>>>>>>>>>>>AAAAAAAAAAAAAAA@@@???>>>============>>>>>>>>>???======<<<<<<;;;<<<<<<<<<999;;;>>>BBBDDDDDDAAA>>><<<<<<<<<;;;;;;:::::::::999999999999999999999999999999888888888999::::::::::::<<<>>>???EEESSSaaayyy}}}zzz~~~yyysssmmmhhheeeaaa___\\\[[[ZZZXXXUUURRROOONNNKKKLLLLLLMMMMMMMMMLLLLLLHHHGGGFFFDDDCCCBBBAAAAAAAAAAAA@@@???>>>===<<<;;;;;;;;;;;;:::;;;;;;<<<<<<::::::999999999:::::::::999:::;;;;;;::::::;;;===;;;<<<<<<<<<<<<<<<<<<;;;<<<<<<<<<<<<<<<<<<<<<<<<>>>>>>>>>>>>>>>>>>===<<<:::;;;<<<======>>>>>>>>>==================<<<<<<<<<<<<=========>>>>>>>>>:::::::::;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<=========<<<<<<<<<<<<<<<<<<<<<<<<999999::::::::::::999999666666666666666777888888666666555555555555666666666666666666666666666666444444555666777666555555uuudddaaaeee___iiimmmmmmuuummm___\\\___dddfffgggppp|||cccTTTGGG???BBBBBB===>>>EEE??????>>>>>>???@@@AAAAAACCCBBBFFFLLLMMMSSSjjjhhh]]][[[VVVQQQQQQLLLKKKJJJKKKMMMOOOOOONNNJJJHHHDDDAAAAAACCCFFFIIIJJJIIIHHHGGGHHHIIIJJJKKKIIILLLMMMJJJEEEBBBDDDGGG@@@AAABBBDDDEEEGGGHHHIIIFFFEEEDDDCCCBBBAAAAAAAAA@@@AAACCCEEEEEEDDDCCCBBBBBBAAA???======>>>@@@AAA<<<<<<;;;;;;;;;<<<<<<===????????????????????????>>>??????@@@@@@@@@??????============>>>>>>>>>>>><<<<<<;;;;;;;;;<<<<<<===999999:::===???@@@???===<<<<<<;;;;;;;;;;;;::::::999999999999999999999999999999999999999999::::::999999:::;;;;;;>>>LLLYYYttt}}}yyyyyy}}}tttmmmjjjgggeee]]]\\\[[[XXXUUURRROOONNNKKKKKKLLLMMMMMMMMMMMMMMMHHHGGGFFFDDDBBBAAAAAAAAAAAAAAA@@@>>>===<<<;;;;;;;;;;;;::::::::::::;;;;;;999999888888888999999:::888:::;;;;;;::::::;;;===::::::;;;;;;;;;;;;::::::::::::::::::::::::::::::<<<===>>>===;;;:::;;;<<<999999;;;<<<<<<<<<<<<<<<;;;;;;<<<<<<<<<<<<;;;;;;999999::::::;;;;;;;;;<<<;;;;;;;;;;;;;;;;;;;;;;;;999999999999::::::::::::999999999::::::;;;;;;<<<999:::::::::::::::999888888888777888888999::::::888888777777777777888999666666666666666666666666222333555777888888888777ooogggfffeeedddooowwwxxxzzzyyykkkhhhgggfffhhhllljjjnnnxxxeeeUUUFFFDDDAAA===<<<<<<=========?????????>>>???AAACCCBBBEEEKKKNNNPPP___|||ccc[[[WWWPPPMMMPPPNNNLLLJJJJJJLLLNNNNNNNNNKKKIIIFFFDDDCCCDDDFFFGGGJJJIIIIIIHHHIIIJJJKKKLLLKKKJJJIIIGGGEEECCCBBBAAABBBHHHLLLMMMIIIFFFFFFHHHDDDDDDDDDDDDCCCBBBAAA@@@AAABBBDDDEEEEEEDDDBBBAAABBB@@@??????@@@@@@>>>===???>>><<<:::::::::<<<===<<<<<<<<<===============????????????>>>>>>>>>>>>===>>>?????????>>><<<;;;::::::999888888777777666777888888999999:::;;;;;;<<<<<<;;;::::::999888888888888888888888888888888888888777777777777888888888:::;;;:::999>>>GGGOOOffftttvvvoookkkjjjjjjgggbbb\\\WWWSSSQQQPPPNNNMMMKKKJJJIIIHHHHHHHHHFFFGGGGGGFFFDDDBBB@@@>>>??????>>>>>>======<<<<<<<<<;;;::::::999999::::::;;;;;;<<<<<<;;;999888777555666777999::::::::::::888888888888888888888888999999:::;;;;;;;;;;;;:::999999999:::::::::;;;;;;999999888888888888999999999999999999999999999999;;;:::999:::<<<===<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;999888888888777777666666888888777777666666555555444555777888888888777666666666666666777777777777555555777777777666555444666666666666666666666666{{{kkkhhhiiiiiillluuu{{{{{{}}}yyypppnnnooonnnooosssnnnsss~~~qqqXXXLLLEEECCC@@@===<<<<<<===>>>>>>???@@@@@@??????@@@BBBDDDEEEIIIOOOYYYpppsss^^^XXXUUUOOOMMMPPPLLLJJJHHHHHHJJJLLLLLLLLLJJJHHHFFFDDDDDDEEEGGGHHHJJJJJJIIIIIIIIIJJJKKKLLLIIIIIIHHHGGGFFFEEEDDDDDDCCCHHHLLLLLLIIIFFFFFFHHHDDDDDDDDDCCCCCCBBBAAA@@@@@@AAACCCDDDDDDCCCAAA@@@AAA???>>>???@@@@@@???>>>???===;;;:::999:::;;;<<<=========>>>>>>?????????????????????>>>>>>>>>>>>======>>>???>>>===<<<;;;:::::::::999888888777777777777888888999::::::;;;;;;;;;;;;:::999999888888666666666666666666666666777666666555555666666777666888:::999888<<>>>>>======<<<<<<<<<;;;::::::999999:::::::::;;;;;;;;;:::999777666666666777888999999999999999999999999999999999999888888999::::::::::::999999999999999::::::::::::888888777777777777888888999999999999999999999999999888777888:::;;;:::999999999999999999999999999999999999999999999999999888888888777777777666666777777777777666666555555333444555666777666666555666666666666777777777777555555666666666666555555555555666666777777777777wwwnnnqqquuuuuuvvv{{{|||xxxyyy{{{{{{{{{}}}xxx|||{{{___NNNHHHDDDBBB@@@===<<<<<<===>>>>>>@@@BBBBBBAAA@@@@@@AAAHHHFFFHHHSSSgggyyygggXXXTTTSSSNNNMMMOOOIIIHHHFFFGGGHHHJJJIIIIIIHHHGGGFFFEEEEEEGGGIIIJJJJJJJJJIIIIIIJJJJJJKKKLLLGGGGGGGGGGGGGGGFFFFFFFFFDDDHHHKKKKKKIIIFFFGGGHHHDDDDDDCCCCCCBBBBBBAAAAAA@@@@@@BBBBBBBBBBBB@@@@@@@@@???>>>>>>@@@AAA@@@???>>>===;;;999888999::::::======>>>???@@@AAAAAABBB????????????>>>>>>>>>>>>======>>>>>>======<<<;;;;;;;;;::::::999888888777777777777888999999:::::::::::::::999999888888777666666666666666666666666555555444444444444555555444666888888777999>>>BBBNNNWWWcccnnn{{{~~~vvvsssoooiiibbb[[[UUURRRLLLLLLJJJIIIHHHGGGGGGGGGFFFFFFFFFEEEEEECCCBBBAAA??????>>>>>>======<<<<<<<<<;;;::::::999999::::::999999:::999999888777666666666777777888777777666666666666666666666666666666777777888888888888888888888888999999999::::::777666666666666666666777888888888888888888888888777666555666777888777666777777777777777777777777777777777777777777777777777777777777666666666666777777777666666666666555333333444555555555555444666666666666777777777777666555555444555555666666555555666777888999::::::||||||~~~fffPPPFFFFFFBBBAAA???=========>>>???>>>@@@CCCCCCBBBAAAAAABBBIIIGGGKKK\\\www}}}zzzkkk___TTTRRRQQQMMMLLLMMMIIIHHHFFFGGGHHHIIIHHHGGGGGGGGGFFFFFFFFFHHHJJJKKKJJJJJJJJJJJJJJJJJJKKKKKKGGGGGGGGGGGGGGGGGGGGGGGGEEEHHHJJJJJJIIIGGGGGGHHHDDDCCCCCCBBBAAAAAAAAAAAA???@@@AAAAAAAAAAAA@@@??????>>>===>>>@@@AAAAAA@@@>>><<<:::888888888999:::<<<===>>>???@@@AAABBBCCC????????????>>>>>>>>>===============<<<<<<;;;;;;;;;;;;::::::999888888888666666777777888999999999999999999888888777777777777777777777777777777777555555444444444444555555444666777777666777:::<<>>>>>======<<<<<<<<<;;;::::::999999::::::888888888888777777666666555555666555555444333333222222222222222222222222555555666777777777777666777777777888888888999999666555555444444555555666666666777777777777888888666444444555666777666555555555555555555555555555555555555555555555555555666666666666666666666666666666666666666666666666333333444444555555555555666666666666777777777777666555444444444555666777555666777888:::;;;<<<===~~~{{{|||lllUUUEEEAAACCC??????>>>======>>>>>>??????AAACCCCCCCCCBBBCCCEEEEEEIIITTTjjjuuuxxx~~~uuuccc\\\UUURRROOOLLLKKKLLLJJJIIIHHHIIIJJJKKKIIIHHHGGGGGGFFFGGGHHHIIIKKKLLLKKKKKKKKKKKKKKKKKKJJJJJJIIIIIIHHHHHHGGGFFFFFFFFFFFFHHHIIIIIIIIIHHHGGGHHHCCCCCCBBBAAAAAAAAABBBBBB???@@@@@@@@@@@@@@@@@@??????>>>===>>>@@@AAAAAA@@@===;;;:::888888999:::;;;<<<<<<===>>>@@@AAABBBBBB????????????>>>>>>>>>======<<<<<<;;;;;;;;;;;;;;;;;;;;;:::999999888888777555666666777777888888999777777777777777666666666666666666666666666666666666555555444444555555666555666777777777777888999???CCCJJJXXXnnn|||tttkkkbbb\\\XXXWWWSSSRRRPPPMMMKKKIIIHHHHHHDDDCCCCCCBBBBBBAAAAAAAAA??????>>>>>>======<<<<<<<<<;;;::::::999999::::::888888777777777777777777444444444444333222111000111111111111111111111111333444555555666666555555666666666777777777888888555555444444444444555555555555555666666777777777666555444555666777777555666666666666666666666666666666666666666666666666555555555555555555555666555555555555555666666666555555555555555666666666666666666666777777777777666666555444555666777888777777888:::<<<===>>>???~~~vvvwww}}}uuu]]]MMMDDDBBBCCC============>>>>>>???@@@@@@AAABBBCCCCCCDDDFFFIIIEEEQQQfff~~~}}}lllwww}}}iii]]]ZZZVVVRRROOOLLLLLLLLLLLLKKKKKKLLLMMMLLLKKKIIIGGGGGGHHHHHHIIIJJJKKKLLLKKKKKKLLLLLLLLLKKKJJJJJJIIIIIIHHHHHHGGGGGGFFFFFFGGGHHHHHHIIIIIIHHHHHHGGGCCCBBBAAA@@@@@@AAABBBCCC@@@@@@@@@@@@@@@@@@@@@@@@@@@???>>>>>>@@@AAA@@@???<<<;;;999888999:::<<<=========>>>???@@@@@@AAAAAA????????????>>>>>>>>>>>><<<<<<;;;::::::::::::;;;::::::999999888777777666555555555666777777888888666666666666666666666666444444444444444444444444555555555444444555555555666666666666666777777888<<>>>>>======<<<<<<<<<;;;::::::999999::::::888888777777777777888888333444444444333222111111333333333333333333333333333444444555555555555555555555555666666666777777555555444444444444555555333444444555555666666777666555444555777777777666666666666666666666666666666666666666666666666666444444444555555555555555444555555555555666666666555555444444555555666777666666666666777777777777666666666666777888999999999999:::<<<===???@@@@@@ssssss{{{bbbPPPJJJFFFCCCBBB<<<<<<<<<===>>>???@@@@@@@@@AAAAAAAAABBBEEEIIIMMMPPPccc}}}tttllllll```XXXXXXVVVQQQMMMMMMMMMNNNMMMMMMLLLMMMNNNMMMKKKIIIHHHHHHIIIIIIJJJJJJKKKKKKKKKLLLLLLMMMLLLKKKJJJIIIGGGGGGGGGHHHHHHHHHIIIIIIHHHHHHGGGHHHHHHIIIHHHGGGCCCBBB@@@??????@@@BBBCCCAAAAAA@@@@@@@@@@@@AAAAAAAAA???>>>???@@@@@@???>>>;;;:::999999:::<<<>>>@@@???@@@@@@@@@AAAAAABBBBBB????????????>>>>>>>>>>>><<<<<<:::999999999:::;;;999999888777777666666555444444555666666777777888555555555555555555555555333333333333333333333333444444333333333333444444666555333333444666777777888<<<@@@GGGXXXnnnxxxpppiiieee___]]]ZZZUUUQQQNNNKKKJJJHHHGGGEEECCCBBBBBBBBBBBB??????>>>>>>======<<<<<<<<<;;;::::::999999::::::999888777777777888999999555555555555555555444444444444444444444444444444333444444555666555555555444444555555555666666666555555444444444444555555222333333444555555666666555444333444666777666555555555555555555555555555555555555555555555555555333333444444444555555555444444444555555555666666444444333333333444555666666666666666777777777777666777888999999:::::::::;;;;;;<<<===>>>???@@@AAA}}}~~~rrrqqqzzznnnQQQDDDCCCBBB>>>;;;;;;;;;<<<===>>>???@@@@@@AAAAAAAAA@@@BBBEEEKKKOOO^^^uuu~~~pppssssssbbbZZZUUUWWWUUUPPPMMMMMMOOOPPPMMMMMMMMMNNNNNNNNNKKKIIIIIIIIIIIIJJJJJJJJJJJJJJJKKKLLLMMMMMMMMMKKKJJJIIIEEEEEEFFFGGGIIIJJJKKKKKKIIIHHHGGGGGGIIIIIIHHHGGGCCCBBB@@@??????@@@BBBCCCBBBAAAAAA@@@@@@AAAAAABBBBBB@@@??????@@@@@@>>>===:::999999999;;;===@@@BBBBBBBBBBBBBBBBBBBBBBBBBBB????????????>>>>>>>>>>>><<<;;;:::999999999:::;;;888888777777666555555555444444555555666777777777444555555555555555555555555555555555555555555555333222222222222222222333666444222111333555666777555999===BBBOOOcccttt{{{~~~vvvqqqgggeeeaaa\\\WWWSSSPPPNNNKKKIIIGGGEEECCCCCCCCCCCC?????????>>>======<<<<<<<<<;;;::::::999999::::::999999888777777888999:::666666777777777777777666333333333333333333333333333444555555666666555555444444444555555555666666666555555444444555555666222222333444444555666666444333222333555666555444444444444444444444444444444444444444444444444444333333333444444555555555444444444555555555666666444333222111222333444555666666666666777777777777666777999:::;;;;;;::::::<<<<<<===>>>???@@@@@@AAAwwwvvvvvv}}}eeeZZZLLLBBB@@@AAAAAA@@@<<<<<<<<<<<<===>>>@@@@@@???======AAADDDHHHRRR\\\vvvyyytttyyyeee[[[WWWUUUTTTQQQOOONNNMMMMMMMMMRRRQQQOOONNNMMMNNNOOOOOOLLLLLLKKKJJJJJJJJJJJJJJJJJJJJJKKKKKKJJJIIIHHHHHHHHHHHHIIIJJJKKKKKKJJJJJJHHHGGGFFFFFFGGGGGGEEECCCBBBBBBAAAAAAAAABBBBBBCCCBBBBBBAAA@@@????????????@@@?????????>>>>>>======:::;;;======>>>???AAADDDDDDCCCBBBAAAAAAAAAAAAAAA>>>============<<<<<<<<<999999:::999999888777666666666666666666666666666888888888777777777777777777777666444444333333333555555555444444333333333333333333333333333333333333333444444555666666777777555888@@@IIIRRR___jjj~~~~~~xxxpppfff___ZZZXXXWWWRRROOOJJJGGGFFFEEEDDDCCCAAAAAAAAA???<<<:::::::::::::::;;;;;;;;;<<<<<<<<<999999999888888888888777999888777666666555666666777777666555444444333333555555666666555555444333222222222222222222222222333333333333333333333333444444444444444444444444333444444555555444444333333333333444444444555555222222333333333444444444222222333333333444444444444555555666666555444444666555555444444444555555555666777888999:::;;;;;;::::::;;;;;;<<<=========>>>???@@@AAABBBAAA@@@@@@vvv|||yyy~~~qqqZZZRRRHHHBBBAAABBB@@@>>>=========>>>>>>???@@@AAA??????BBBEEEFFFKKKZZZiii|||xxxppp___WWWTTTTTTSSSQQQOOONNNMMMMMMMMMPPPOOONNNMMMMMMMMMNNNNNNLLLKKKKKKJJJJJJJJJJJJJJJJJJJJJKKKKKKJJJIIIIIIHHHHHHIIIIIIJJJKKKKKKJJJJJJHHHGGGGGGGGGHHHHHHFFFDDDCCCBBBBBBBBBBBBBBBCCCCCCBBBBBBAAA@@@?????????????????????>>>>>>>>>======;;;===>>>??????@@@BBBEEEEEEDDDCCCBBBAAAAAAAAAAAA>>>>>>=========<<<<<<<<<999999999999888777666666666666666666666666666666777777777777777777777777777777666555444444444444555444444444333333333333222222222222222222222222333333333444555666666666777555777===DDDKKKVVV```vvvyyynnnddd\\\YYYZZZUUUPPPLLLJJJHHHGGGFFFEEEEEEDDDBBB@@@>>>>>>???<<<<<<<<<<<<<<<;;;;;;;;;999999999999888888888888888777777666666666666777777777666555555444333333555555666666666555444444333333333333333333333333333333333333333333333333444444444444444444444444333333444444444444333333333333333333444444444444222333333333333444444444222222333333333444444444777777777777777777777777666555555555555555666666666777888999:::;;;;;;<<<;;;<<<<<<======>>>??????>>>???@@@AAAAAAAAA@@@@@@ttt|||~~~oooZZZLLLHHHCCCAAABBBBBB???===???>>>>>>>>>???@@@AAABBB>>>AAAFFFJJJLLLTTThhh{{{xxxdddXXXRRRQQQSSSRRRPPPOOOMMMMMMLLLLLLNNNMMMMMMLLLLLLLLLLLLMMMKKKKKKKKKJJJJJJJJJJJJIIIJJJJJJJJJKKKJJJJJJIIIHHHHHHIIIJJJJJJKKKJJJJJJJJJHHHHHHHHHIIIJJJIIIGGGEEEDDDDDDCCCCCCBBBCCCCCCDDDBBBBBBAAA??????>>>>>>>>>>>>>>>>>>>>>===============???@@@@@@@@@AAADDDFFFFFFEEEDDDBBBAAA@@@@@@@@@============<<<<<<<<<<<<999999999999888777666555666666666666666666666666666666666777777777777777777777666555444444444444444444333333333333333222111111111111111111111111222333333444444555555666777555555999===AAAJJJRRRiiiuuu~~~yyypppjjjccc^^^WWWRRROOONNNMMMLLLFFFEEECCCAAA????????????>>>>>>======<<<;;;;;;::::::::::::999999999888888777666666666666777777888777777666666555555444444666666666666666555555444555555555555555555555555222222222222222222222222333333333333333333333333222333333444444333333222222222222333333333444444333333333444444444555555222333333333333444444444555444333333333333555555666555555555666777888888888999999:::;;;<<<===============>>>??????@@@@@@>>>???@@@AAAAAAAAAAAA@@@uuuzzzrrr\\\MMMDDDBBB@@@???AAAAAA???===???>>>>>>>>>??????@@@AAA???AAAGGGOOOWWWeeezzziii[[[SSSPPPPPPQQQPPPOOONNNMMMLLLKKKKKKLLLKKKKKKKKKKKKKKKKKKKKKJJJJJJKKKJJJJJJJJJIIIIIIIIIJJJJJJJJJJJJJJJIIIIIIIIIIIIJJJJJJJJJJJJJJJIIIHHHHHHHHHJJJKKKKKKHHHFFFEEEEEEDDDCCCCCCCCCCCCDDDBBBBBB@@@???>>>>>>>>>>>>========================???@@@AAABBBAAABBBEEEGGGGGGFFFDDDBBBAAA@@@??????<<<<<<;;;;;;;;;:::::::::999999999999888777666555555555555555555555555555555555666666666666666777777666666555444444555555333333333333222222222222111111111111111111111111222222333333444444444444666333333666888:::@@@HHHXXXfffzzz{{{yyy}}}qqqkkkddd]]]YYYVVVTTTSSSJJJHHHDDDBBBAAAAAA@@@@@@=========<<<<<<<<<;;;;;;;;;:::::::::999999999999666666555666666777888888777777777666666666555555666777777777777666555555555555555555555555555555333333333333333333333333333333333333333333333333222222333333333333222222222222222333333333333444444444444444555555555555333333333444444444555555444333111000000222444555666666666666777999:::::::::;;;;;;<<<======>>>>>>======>>>>>>???@@@@@@@@@??????@@@@@@AAAAAAAAAAAAzzz|||qqq^^^OOOGGGCCCAAA???===>>>?????????>>>>>>=========>>>??????@@@@@@HHHWWWhhhyyysssaaaWWWRRRPPPQQQOOOOOONNNMMMMMMKKKKKKJJJIIIJJJJJJJJJJJJJJJJJJJJJIIIJJJJJJKKKJJJIIIHHHHHHIIIIIIJJJJJJJJJJJJJJJIIIIIIJJJJJJJJJJJJJJJIIIIIIHHHHHHIIIKKKLLLKKKIIIFFFEEEEEEDDDCCCCCCCCCCCCCCCCCCBBB@@@???>>>=========<<<<<<<<<<<<<<<<<<<<<===???AAABBBBBBAAABBBDDDFFFFFFEEEDDDBBB@@@??????>>>::::::999999999888888888888888888888777666555555444444444444444444444444444444555555555666666666666555555444444444444555222222222222222222222222222222222222222222222222222222222333333333333333444222222555666666;;;AAAIIIWWWkkk}}}wwwwww{{{}}}}}}xxx|||xxxpppiiiccc^^^ZZZTTTPPPLLLIIIHHHGGGDDDBBB<<<<<<==================;;;;;;;;;;;;:::::::::999666666555666666777888888777777777777777666666666777777888888777777666555444444444444444444444444333333333333333333333333444444444444444444444444222333333444444333333222222222333333333444444444444444555555555666666666444555555555666666666666888777555444555666888:::777777777888999:::;;;<<<<<<<<<<<<===>>>>>>??????<<<======>>>>>>???@@@@@@@@@???@@@@@@@@@@@@AAAAAAlll\\\OOOFFFBBBCCCAAA???===<<<===???AAA>>>===============>>>>>>CCCDDDOOOcccxxxhhh\\\WWWQQQOOOQQQMMMMMMMMMMMMLLLKKKJJJIIIHHHIIIJJJJJJKKKJJJJJJJJJIIIIIIJJJKKKKKKIIIHHHGGGHHHIIIJJJJJJKKKJJJJJJJJJJJJJJJJJJKKKJJJJJJIIIHHHGGGGGGHHHKKKLLLLLLIIIFFFEEEEEEDDDCCCBBBBBBBBBBBBCCCBBB@@@???======<<<<<<;;;;;;;;;<<<<<<<<<<<<<<>>>>>>>>999999999999888888888888888888888888777666555444444444444444444444444444333333444444555666666666444444333333333333333444000111111111111222222222222222222222222222222222222222222222222222222222333111222444555444777===???IIIZZZlllzzzwwwwww{{{~~~~~~wwwxxx{{{vvvmmmggg^^^ZZZUUURRRPPPLLLGGGCCC@@@@@@????????????>>>>>><<<<<<;;;;;;;;;:::::::::777666666666666777777888888888888888777777777777888888888888888777666666555555555555555555555555444444444444444444444444555555555555555555555555333444444555555444444333333333333444444444555555555555555666666666666777666666777777777888888888777777666666777888999:::999999999999:::;;;<<<<<<============>>>>>>??????=========>>>??????@@@@@@@@@@@@??????@@@@@@AAABBBfffWWWNNNGGGAAA@@@??????>>>=========???AAA??????>>>>>>===>>>>>>???FFFLLL]]]sssrrr```ZZZWWWOOOLLLOOOKKKLLLLLLMMMLLLKKKIIIHHHHHHHHHJJJKKKKKKKKKJJJJJJHHHIIIJJJKKKKKKIIIHHHFFFHHHIIIIIIJJJKKKKKKJJJJJJJJJJJJKKKKKKJJJIIIIIIHHHEEEFFFHHHKKKLLLKKKHHHEEEEEEDDDCCCBBBAAAAAAAAAAAACCCBBB@@@???===<<<<<<<<<::::::;;;;;;;;;<<<<<<<<<===>>>??????>>>???AAACCCBBBAAA@@@???>>>>>>>>>>>>::::::::::::999999999999888888888888777666555444333333333333333333333333222333333444555555666666222222222111111222222333000000000000111111222222111111111111111111111111222222222222222111111111333111222444444222444999999@@@KKKYYYhhhwww~~~~~~uuusssoooooottt}}}{{{nnnjjjdddaaa^^^XXXPPPIIIGGGFFFEEECCCBBB@@@??????<<<<<<<<<<<<;;;;;;;;;;;;888777777666666666666777888888888888888888888888888888999999888888777666666666666666666666666666666666666666666666666666777777777777777777777777444555555666666555555444444444555555555666666666555555666666666777777777888888888999999999::::::666666777777888999999:::<<<;;;;;;:::;;;;;;<<<<<<============>>>>>>>>>>>>>>>>>>??????@@@AAAAAAAAA@@@@@@?????????@@@AAABBBiiiRRRJJJHHHDDDAAA@@@;;;<<<>>>>>>>>>>>>???@@@@@@@@@???????????????@@@HHHSSSiiizzzhhhZZZYYYVVVNNNJJJMMMKKKKKKLLLLLLLLLJJJIIIHHHGGGHHHJJJKKKLLLKKKJJJJJJHHHIIIJJJKKKKKKIIIGGGFFFHHHHHHIIIJJJKKKKKKKKKJJJJJJKKKKKKKKKJJJIIIHHHHHHDDDEEEGGGJJJLLLKKKHHHEEEEEEDDDCCCBBBAAA@@@@@@@@@CCCBBB@@@???===<<<;;;;;;:::::::::;;;;;;<<<<<<<<<<<<>>>>>>>>>======???AAA@@@@@@???>>>======>>>>>><<<<<<<<<;;;;;;;;;::::::888888888888777666555444333333333333333333333333222222333444444555666666222111111000111111222222//////000000111111111222000000000000000000000000222222111111111111111111444222222444333000111555888;;;AAALLL[[[lll|||sssiiieeehhhpppuuu}}}wwwssspppiii^^^VVVMMMLLLJJJGGGDDDBBB@@@>>>======<<<<<<<<<;;;;;;;;;999888777666666555666666888888888888888888999999888999999999999888777777777777777777777777777777777777777777777777777777777777777777777777777777555555666666666666555555555555555666666666666777666666666666777777777777999999:::::::::;;;;;;;;;999:::;;;======>>>>>>======<<<<<<;;;;;;;;;<<<<<<============>>>>>>>>>>>>???@@@@@@AAAAAABBBCCCCCCAAA@@@?????????@@@AAABBBbbbYYYLLLDDDBBBAAA???===>>>>>>??????>>>===???BBB???<<<===@@@???===BBBKKKRRReee{{{mmmdddYYYRRRQQQRRRQQQOOOLLLLLLMMMLLLKKKIIIGGGFFFHHHIIIIIIIIIIIIIIIIIIHHHHHHIIIJJJKKKKKKJJJIIIIIIJJJJJJJJJJJJJJJIIIIIIIIIKKKJJJJJJIIIGGGFFFEEEEEEGGGGGGGGGFFFFFFDDDCCCCCCBBBBBBBBBBBBAAAAAA@@@???@@@???<<<:::888888999999;;;;;;;;;<<<<<<<<<======<<<;;;:::::::::;;;<<<===AAA???======>>>???<<<:::;;;<<<======<<<:::::::::888777777666555444444444444333111000000111333444444444444444444444444444444444444333333222222222111111222222222222111111000000000000000000000000444333222111111222222333666555444333222333444555888999<<>>????????????@@@@@@@@@@@@===>>>>>>???@@@AAAAAAAAAAAAAAAAAABBBBBBCCCCCCCCCmmmWWWOOOFFF@@@??????===;;;===<<<============???@@@>>>===???AAA@@@>>>EEENNN]]]pppuuufff^^^UUUPPPOOOPPPOOOMMMMMMMMMMMMMMMLLLJJJIIIGGGIIIIIIJJJJJJJJJJJJIIIIIIHHHIIIJJJKKKKKKJJJIIIIIIIIIIIIIIIIIIIIIJJJJJJJJJJJJJJJIIIHHHGGGFFFEEEEEEFFFFFFFFFFFFEEEDDDCCCBBBAAAAAABBBBBBAAAAAA@@@??????>>><<<:::999999:::;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<;;;:::999999:::;;;<<<@@@>>><<<<<<===>>><<<999666777888999::::::::::::777777777666555444444444555444222111111222444555444444444444444444444444222222222111111000000000000111111222222111111000000000000000000000000000111111111111222222222222444444333333333333333444555666888<<>>>>><<<;;;:::888888888:::;;;:::999999999999999999999999999777888999999::::::999999888888999999999999888888888888888888999999999999999999999999999999999999888999999:::999999888888::::::::::::::::::::::::::::::::::::::::::::::::<<<<<<;;;;;;:::;;;;;;<<<===========================<<<<<<;;;<<<===>>>???>>>>>>>>>>>>>>>?????????>>>??????@@@AAAAAABBBBBBAAAAAABBBBBBCCCDDDDDDEEEkkkYYYKKKFFF@@@===>>>???>>><<<======<<<===???AAA@@@???>>>???AAABBBAAACCCMMMYYYooowwwfff___ZZZSSSPPPPPPPPPNNNLLLNNNNNNNNNNNNMMMLLLJJJIIIJJJKKKKKKLLLLLLKKKKKKJJJIIIIIIJJJKKKKKKJJJIIIHHHGGGGGGHHHHHHIIIIIIJJJJJJIIIIIIHHHGGGFFFEEEEEEDDDEEEEEEEEEEEEEEEDDDCCCBBBAAAAAAAAAAAAAAA@@@@@@???>>>===<<<::::::;;;;;;<<<:::::::::;;;;;;;;;<<<<<<;;;::::::999999::::::;;;>>>===;;;;;;<<<<<<:::999;;;:::999999999999666555777777666666555444444444555555333333333333555555333333333333333333333333111111111111111000000000000111111222222111111000000000000000000000000000...///000111222222111111111222222333333333222222555555555777===GGGRRRZZZppp~~~}}}~~~zzzjjj```UUUSSSTTTYYY]]]```eeekkknnnpppuuu|||~~~yyyooommmiiifffaaaZZZSSSMMMLLLIIIEEEBBB@@@???===<<<<<<:::888888999::::::999::::::::::::::::::::::::888999::::::;;;;;;::::::999999::::::::::::999999999999999::::::::::::;;;::::::::::::::::::::::::999999:::;;;;;;::::::999;;;;;;;;;;;;;;;;;;;;;;;;:::::::::;;;;;;<<<======<<<<<<;;;;;;;;;;;;<<<<<<========================>>>============>>>??????>>>>>>>>>?????????@@@@@@???@@@@@@AAAAAABBBBBBCCCAAAAAABBBDDDEEEFFFGGGGGGnnn[[[PPPEEEBBB??????@@@@@@???>>>>>>??????>>>AAADDDCCC???@@@AAABBBAAABBBKKK\\\kkk}}}iii___[[[XXXUUUSSSSSSSSSRRRPPPPPPOOOOOOOOONNNMMMLLLLLLKKKLLLLLLMMMMMMLLLLLLKKKIIIJJJKKKKKKKKKJJJIIIHHHEEEFFFFFFGGGHHHIIIJJJJJJHHHHHHGGGFFFEEEEEEDDDDDDDDDDDDDDDDDDDDDCCCBBBAAA@@@@@@AAAAAAAAA@@@@@@???===<<<<<<;;;;;;<<<======::::::::::::;;;;;;;;;;;;;;;:::::::::999999999999<<<;;;::::::::::::999999:::999888888888777555333666666666555555444444444555444333333333333444555222222222222222222222222333333333222222222222222000000111111111111000000////////////////////////+++---///111222222111000///000222333333222111000666666555666999@@@HHHNNN]]]mmmwww~~~~~~~~~ttteee\\\TTTPPPMMMKKKNNNRRRSSSVVV]]]dddjjjnnnooonnnmmmoooqqqqqqoooiiibbb]]]TTTPPPKKKGGGDDDBBB@@@>>>???<<<999777888999999999999999999999999999999999999:::;;;;;;<<<<<<;;;;;;999999::::::::::::999999999999999999::::::::::::::::::::::::::::::::::::::::::;;;;;;<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::;;;<<<===>>>??????<<<<<<<<<;;;<<<<<<===>>>========================>>>>>>>>>?????????@@@@@@??????@@@@@@AAAAAABBBBBB@@@@@@@@@AAAAAABBBBBBBBBBBBCCCDDDEEEGGGHHHIIIJJJnnnYYYMMMGGGBBBAAA@@@@@@@@@@@@???>>>===AAAAAA???@@@DDDBBB>>>???@@@@@@???FFFXXXppplll___[[[WWWVVVUUUTTTUUUTTTSSSRRRPPPPPPOOOOOONNNNNNMMMMMMLLLMMMMMMMMMMMMMMMMMMLLLJJJJJJKKKKKKKKKJJJHHHGGGDDDEEEEEEFFFGGGHHHHHHIIIFFFFFFFFFEEEEEEDDDDDDCCCBBBBBBCCCCCCCCCBBBAAAAAA??????@@@AAAAAA@@@@@@@@@======<<<<<<======>>>>>>:::::::::;;;;;;;;;<<<<<<;;;;;;;;;;;;::::::999999::::::::::::999999999999333444555666555555555666555555555555444444444444333333222222222222333333222222222222222222222222222222222222222222222222000000000111111000000000////////////////////////+++,,,///111222111000///...///111222333222111111555555555555777<<>>???@@@@@@<<<<<<<<<<<<======>>>???>>>>>>>>>>>>>>>>>>>>>>>>?????????@@@@@@@@@@@@@@@>>>>>>??????@@@AAABBBBBB@@@@@@@@@AAAAAAAAAAAAAAADDDEEEFFFGGGIIIJJJLLLLLLrrr]]]MMMEEEDDD??????>>>>>>>>>=========;;;BBBDDD???===@@@@@@<<<===???@@@CCCRRRmmmooo___XXXVVVRRRRRRRRRRRRRRRRRRRRRQQQPPPPPPOOONNNNNNNNNNNNNNNLLLMMMMMMNNNNNNMMMMMMLLLJJJKKKKKKKKKKKKIIIHHHGGGDDDDDDEEEEEEFFFFFFGGGGGGEEEEEEDDDDDDDDDCCCCCCCCCAAAAAABBBBBBBBBAAAAAA@@@>>>???@@@@@@@@@@@@@@@@@@=========>>>>>>>>>>>>>>>;;;;;;;;;<<<<<<<<<======<<<<<<<<<<<<;;;:::999999999:::;;;:::999888999:::AAADDDEEEAAA999333333555444444444444444444444444222222222222222222222222111111111111111111111111/////////000000000000000///000000111111000000///000000000000000000000000---...///000111111000000///000111222222222222222222333333444555999===AAAEEETTT___kkk|||{{{wwwyyy}}}uuuiii]]]NNNDDD???@@@???>>>???AAACCCFFFGGGNNNTTT\\\dddhhhkkklllnnnnnnkkkeee___YYYSSSMMMIIIFFFCCC@@@>>>>>>===<<<;;;::::::::::::::::::::::::999:::;;;;;;<<<<<<;;;;;;888888999999999999888888888888888888999999999999::::::::::::::::::::::::999999:::;;;<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;===>>>???@@@@@@======<<<======>>>???@@@>>>>>>>>>>>>>>>>>>>>>>>>>>>???@@@@@@AAAAAA@@@@@@<<<======>>>???@@@AAAAAABBBBBBBBBBBBBBBBBBBBBBBBGGGGGGHHHIIIKKKLLLMMMMMMsss```RRRGGGCCCDDD======>>>=========>>>>>><<>>BBBGGGQQQgggqqqaaaXXXUUUTTTPPPPPPQQQPPPPPPPPPQQQQQQPPPOOONNNMMMMMMMMMNNNOOOLLLLLLMMMMMMMMMMMMLLLLLLJJJKKKKKKKKKKKKIIIHHHGGGEEEEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDCCCCCCCCCCCCBBB@@@@@@AAAAAAAAAAAA@@@@@@>>>>>>???@@@@@@@@@@@@@@@>>>>>>?????????>>>>>>===<<<<<<<<<=========>>>>>>======>>>>>>===;;;:::999888:::<<<;;;999888:::<<>><<<<<<<<<<<<<<<<<<<<<<<<999999:::;;;;;;;;;;;;;;;999999::::::::::::999999999999999999:::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;888888:::;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;<<<<<<===>>>??????============>>>???@@@AAA>>>>>>>>>>>>>>>>>>>>>>>>===>>>???@@@AAA@@@@@@???>>>>>>???@@@AAABBBCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDIIIJJJJJJKKKLLLMMMMMMNNNuuu]]]PPPIIIBBB@@@AAA===>>>>>>>>>>>>???@@@BBB???MMMRRRHHH@@@BBBDDDAAAAAAGGGOOO^^^zzzxxxdddZZZXXXWWWVVVQQQQQQQQQQQQPPPPPPQQQSSSPPPOOONNNMMMMMMMMMNNNOOOLLLLLLMMMMMMMMMMMMLLLLLLKKKKKKLLLKKKKKKIIIGGGFFFEEEEEEEEEEEEDDDDDDDDDDDDCCCCCCCCCCCCCCCCCCBBBBBB???@@@@@@AAAAAAAAA@@@@@@===>>>???@@@@@@@@@@@@@@@???????????????>>>==================>>>>>>>>>>>>===>>>>>>???>>><<<:::999888:::<<<;;;999888:::<<>>BBBEEEHHHMMMTTTYYY```aaacccfffhhhgggdddbbbOOOMMMKKKJJJIIIFFFCCC@@@>>>>>>>>>>>>>>>>>>>>>>>>888999::::::;;;;;;:::::::::;;;;;;<<<<<<;;;;;;::::::::::::;;;;;;;;;<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;777888999:::;;;;;;;;;;;;>>>>>>>>>>>>>>>>>>>>>>>>;;;;;;<<<<<<======>>>>>>============>>>???@@@AAA>>>>>>>>>>>>>>>>>>>>>>>>===>>>???@@@AAA@@@??????BBBBBBCCCDDDEEEFFFGGGHHHGGGGGGGGGFFFFFFFFFFFFFFFKKKKKKLLLLLLMMMMMMMMMNNNooo___OOOJJJFFF@@@<<<<<<======>>>@@@@@@AAAAAAAAA:::FFFQQQNNNEEE>>>>>>AAAFFFKKKWWWooo~~~lll___ZZZWWWSSSPPPQQQQQQQQQQQQQQQRRRRRRRRRQQQQQQPPPNNNLLLKKKJJJIIIKKKKKKJJJJJJJJJIIIIIIIIIJJJKKKKKKKKKIIIGGGDDDBBBGGGFFFFFFEEEDDDCCCCCCBBB@@@AAAAAABBBBBBAAAAAAAAA@@@???>>>>>>??????>>>===>>>>>>>>>>>>>>>??????@@@>>>===<<<;;;;;;<<<===>>><<<<<<<<<<<<============??????===<<<;;;::::::999:::::::::999999999888888<<<;;;999888666555555444333444444555555444444333000000111222333333333333222111111111000000//////000000000000000000000000////////////////////////000000000000000000000000////////////////////////000000111111111222222222111222222333333444555555999888===HHHVVVcccqqq|||}}}xxxyyy~~~qqqiiiYYYKKKEEEDDD@@@:::999:::;;;===>>>@@@BBBCCCLLLNNNSSS[[[bbbeeeeeeccc\\\UUUMMMKKKMMMMMMIIIDDDCCCCCCBBBAAA???===<<<;;;???>>>===>>>??????===;;;;;;:::999999999999999999;;;;;;::::::::::::;;;;;;=========<<<<<<;;;;;;;;;:::;;;<<<<<<======<<<<<<<<<<<<======>>>?????????;;;<<<<<<===>>>???@@@@@@>>>======<<<<<<<<<======>>>>>>??????@@@AAAAAAAAAAAA@@@@@@AAACCCDDDCCCBBBBBBBBBDDDEEEFFFGGGHHHHHHGGGHHHIIIIIIGGGGGGHHHIIIQQQOOOMMMMMMNNNMMMIIIFFFvvvbbbTTTHHHDDDCCC???;;;;;;===>>>???@@@@@@@@@@@@@@@DDDIIILLLHHHCCCBBBEEEHHHKKKVVViii|||pppaaaXXXVVVVVVTTTRRRQQQQQQQQQQQQQQQQQQQQQPPPQQQPPPOOONNNLLLKKKJJJIIIIIIIIIIIIHHHHHHHHHHHHHHHIIIJJJJJJIIIHHHFFFDDDCCCFFFFFFEEEDDDDDDCCCBBBBBBAAABBBBBBBBBBBBAAAAAA@@@AAA???>>>>>>???@@@>>>==================>>>??????>>>======<<<<<<======>>><<<<<<<<<<<<============>>>===<<<:::999999888888999999888888888777777777888777666555555444555555333444444555555444444333333333444444555555444444111111111000000000//////000000000000000000000000////////////////////////////////////////////////////////////////////////000000000111111111222222111111111222333333444444999777:::BBBLLLYYYjjjxxxzzzvvvyyyqqq___UUUOOOGGG??????>>>===<<<<<<>>>@@@AAAAAACCCGGGMMMSSSWWWZZZ[[[ZZZWWWTTTUUUWWWWWWSSSOOOKKKJJJHHHEEECCCBBBAAAAAA===<<<;;;;;;======<<<;;;;;;;;;:::::::::::::::;;;::::::999999999999::::::======<<<<<<<<<;;;;;;;;;;;;<<<<<<===============>>>>>>==================:::;;;;;;<<<<<<=========???>>>>>>======>>>>>>>>>@@@@@@AAAAAABBBBBBBBBBBBBBBAAA@@@BBBDDDEEEDDDCCCEEEDDDDDDDDDDDDEEEFFFGGGJJJKKKMMMMMMLLLLLLMMMNNNOOONNNMMMMMMNNNLLLHHHEEEqqq```RRRIIIAAA@@@AAA???===<<<>>>???@@@@@@@@@@@@@@@???EEEDDDDDDBBBAAACCCGGGLLLWWWhhhnnneeeYYYSSSRRRTTTSSSRRRRRRRRRQQQQQQPPPPPPOOOOOOOOOOOONNNMMMKKKJJJIIIIIIGGGGGGGGGGGGGGGGGGGGGGGGHHHGGGGGGFFFFFFEEEDDDDDDEEEEEEDDDDDDCCCBBBBBBBBBBBBBBBBBBBBBBBBAAA@@@???AAA???>>>>>>??????>>>===<<<<<<<<<<<<<<<======>>>======>>>>>>>>>>>>======<<<<<<<<<<<<===============<<<;;;999888888888888777777777777666666666666444333333333333333444444333444444555555444444333444444555555444444333333111111000000000000//////000000000000000000000000////////////////////////////////////////////////////////////////////////000000000000111111111111000000000111222222333333777555666;;;AAALLL^^^nnn{{{yyy}}}~~~qqqggg[[[QQQEEEBBB>>>999777888:::;;;999;;;>>>AAACCCGGGKKKNNNPPPSSSWWW[[[]]]]]][[[YYYWWWUUUSSSOOOLLLJJJHHHGGGCCCAAA??????@@@AAA@@@???<<<<<<;;;;;;;;;;;;<<<<<<;;;;;;::::::::::::;;;;;;<<<<<<<<<<<<;;;;;;;;;;;;<<<<<<===>>>>>>>>>>>>===???>>>>>>===<<<<<<;;;;;;<<<<<<<<<<<<<<<=========@@@??????>>>??????@@@@@@BBBBBBBBBCCCCCCCCCCCCCCCDDDCCCCCCDDDGGGHHHGGGEEEHHHFFFDDDBBBBBBDDDFFFHHHMMMNNNPPPPPPPPPPPPRRRSSSQQQPPPNNNNNNMMMKKKGGGDDD~~~kkk]]]TTTIIICCC??????AAAAAA@@@>>>???@@@@@@AAAAAA@@@@@@???>>>???BBBDDDDDDFFFMMMVVVkkkrrrjjjbbbXXXSSSRRRSSSRRRQQQSSSRRRRRRQQQPPPOOONNNNNNMMMMMMLLLLLLKKKJJJIIIIIIFFFFFFFFFGGGGGGGGGGGGHHHFFFFFFEEEDDDDDDDDDEEEEEECCCCCCCCCCCCBBBBBBAAAAAAAAAAAAAAAAAA@@@???>>>>>>???>>>======>>>>>>===;;;;;;;;;::::::;;;;;;<<<===<<<===>>>??????>>>===<<<<<<<<<<<<<<<============<<<<<<:::999999888888888777777777666666666555555333333222222222222333333333444444555555444444333333333333333222111000///000000000000000000//////000000000000000000000000/////////////////////////////////////////////////////////////////////////////////000000000111111/////////000111111222222333333555777999@@@PPP```wwwzzzpppWWWRRRJJJAAA;;;888888999888:::<<<===<<<<<>>>>>==================<<<<<<;;;;;;@@@?????????????????????@@@????????????@@@AAAAAABBBBBBBBBCCCCCCCCCDDDDDDFFFFFFFFFHHHJJJKKKJJJHHHJJJGGGCCCAAAAAADDDHHHKKKMMMNNNPPPQQQQQQQQQSSSUUUUUUSSSQQQNNNKKKGGGCCC@@@wwwaaaSSSLLLIIICCCBBB???>>>@@@BBB@@@>>>??????@@@AAAAAAAAAAAA@@@???AAAFFFIIIIIINNN___pppzzzhhhddd^^^WWWSSSRRRRRRQQQOOORRRRRRQQQPPPOOOOOONNNNNNKKKKKKKKKJJJJJJIIIIIIIIIGGGGGGGGGGGGGGGHHHHHHHHHEEEEEEDDDCCCCCCDDDDDDEEEBBBBBBBBBAAAAAAAAAAAAAAA???????????????>>>======>>><<<;;;;;;<<<<<<;;;::::::::::::::::::;;;;;;<<<<<<===>>>??????>>>===<<<<<<<<<<<<<<<===============<<<;;;:::999999999:::888777777777777666666666555555444333222222222222333444444555555444444333444444444333222111000/////////////////////000000////////////////////////////////////////////////........................////////////////////////....../////////000000000...//////000000111222222000222555888777999DDDQQQ```qqqyyyrrreeeWWWKKKCCC>>><<<999:::;;;:::999888888888999>>>CCCGGGHHHLLLQQQVVV\\\```eeehhhhhhddd___[[[YYYVVVQQQNNNKKKGGGDDDAAA@@@???>>>>>>======>>>>>>======<<<<<<<<<<<<==============================;;;;;;<<<============<<<<<<<<<<<<<<<======>>>>>>@@@@@@@@@@@@@@@?????????@@@@@@??????@@@AAAAAABBBBBBBBBCCCCCCDDDEEEEEEEEEGGGGGGHHHKKKMMMNNNLLLKKKKKKGGGCCC@@@@@@DDDIIILLLLLLNNNPPPPPPPPPQQQSSSTTTTTTRRROOOJJJEEEAAA>>>===~~~yyybbbRRRGGGDDDDDD@@@@@@???<<<>>>@@@@@@<<<>>>???@@@AAABBBBBBBBBBBBCCCDDDIIINNNQQQ[[[uuuooocccYYYVVVRRRPPPOOOPPPOOOOOOOOOOOONNNNNNMMMMMMLLLLLLJJJIIIIIIIIIIIIIIIIIIIIIHHHHHHHHHGGGGGGGGGFFFFFFDDDDDDDDDDDDDDDDDDDDDCCCAAAAAAAAA@@@@@@@@@@@@@@@===>>>>>>?????????>>>>>>===<<<;;;;;;<<<<<<;;;::::::::::::::::::;;;;;;<<<<<<<<<============<<<<<<<<<<<<<<<<<<============<<<<<<;;;:::::::::::::::777777777777666666666666666666444333222222222222333444444555555444444333555666555555444333222111......////////////000000////////////////////////////////////////////////........................////////////////////////............/////////////////////000111111222222000111555888777666<<>>>>>>>>>>>????????????<<<<<<===>>>>>>>>>======<<<<<<======>>>??????@@@>>>>>>>>>>>>>>>?????????AAAAAAAAAAAABBBCCCDDDDDDDDDEEEEEEGGGHHHIIIJJJKKKKKKLLLMMMPPPSSSSSSRRRPPPKKKGGGBBB>>>>>>AAAFFFJJJJJJKKKMMMMMMMMMMMMOOOPPPMMMLLLHHHDDD@@@???@@@BBB~~~yyybbbTTTLLLEEEBBBCCC>>>AAA@@@<<<<<>>???AAABBBCCCCCCDDDIIIJJJSSSbbblllwwwqqqeee]]]RRRPPPNNNMMMMMMMMMMMMLLLJJJJJJJJJJJJJJJJJJJJJJJJHHHHHHHHHHHHHHHIIIIIIIIIHHHHHHGGGFFFEEEDDDDDDCCCDDDEEEFFFFFFEEEDDDCCCBBB@@@@@@@@@@@@@@@@@@@@@@@@===>>>???@@@AAAAAAAAAAAA???===<<<<<<===>>><<<;;;:::::::::::::::;;;<<<<<<<<<<<<;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<============;;;::::::999999999999999666666666555555555444444444333333222222333333333333444444555555444444333555555555555444444333222........./////////000000////////////////////////////////////////////////........................////////////////////////------.........///////////////000111111222222333111000222555555333666;;;AAAPPPaaaooo{{{~~~}}}qqqfff___UUULLLAAA;;;;;;;;;888555999999999888888;;;>>>AAACCCHHHOOOVVVZZZ[[[ZZZYYY]]]\\\\\\[[[[[[XXXSSSPPPKKKJJJHHHFFFDDDCCCBBBBBB??????>>>>>>>>>>>>????????????@@@@@@@@@AAAAAAAAA>>>>>>???@@@@@@@@@@@@???>>>>>>>>>???????????????===>>>>>>??????@@@@@@@@@DDDDDDDDDDDDEEEFFFGGGGGGHHHIIIKKKMMMOOOQQQRRRSSSUUUVVVXXX[[[^^^^^^\\\ZZZKKKGGGAAA<<<:::<<<@@@BBBCCCEEEFFFFFFEEEEEEFFFHHHEEEEEECCCAAAAAAEEEMMMSSS}}}rrr___MMMGGGFFFCCC@@@@@@???BBBAAA===>>>CCCDDDAAA<<<===???AAACCCDDDDDDEEEPPPTTTddd}}}pppfff]]]VVVQQQPPPNNNMMMLLLKKKJJJIIIFFFGGGGGGGGGGGGGGGGGGGGGGGGGGGHHHHHHHHHHHHIIIIIIHHHGGGFFFEEEDDDCCCBBBAAADDDEEEGGGGGGFFFDDDBBBAAA??????????????????@@@@@@>>>???@@@AAABBBCCCCCCCCC@@@???>>>>>>??????>>>===;;;;;;::::::;;;;;;<<<===<<<;;;:::999999:::;;;<<<<<<<<<<<<<<<=========>>>999999888888888888888888555555444444444333333333111111111111222333444555333444444555555444444333222222333333333222111111---.........//////000000////////////////////////////////////////////////........................////////////////////////---------.........//////000000000111222222333333333000///222333222444888777BBBOOOZZZfffvvv~~~|||~~~}}}tttyyymmm___LLLBBB@@@@@@<<<888:::999888777777777777777===???BBBEEEHHHIIIIIIIIIOOOPPPRRRUUUVVVUUUQQQNNNOOONNNLLLIIIGGGFFFEEEDDDDDDCCCCCCBBBBBBCCCCCCDDD@@@@@@@@@AAAAAABBBBBBBBB@@@@@@AAABBBBBBBBBBBBAAAAAAAAA@@@@@@???>>>>>>>>>??????@@@AAABBBBBBCCCCCCFFFFFFFFFFFFGGGHHHIIIJJJLLLMMMOOORRRTTTVVVXXXYYY___```bbbfffiiiiiigggeeeKKKGGG@@@;;;888888:::<<<<<<>>>???>>>======>>>???AAABBBBBBBBBFFFNNNZZZbbbxxx\\\SSSGGG???===???AAAAAA============>>>>>>>>>>>>DDDAAA@@@BBBBBBBBBGGGNNN___ttttttfff^^^YYYVVVRRRQQQOOOLLLJJJHHHFFFFFFFFFFFFFFFFFFGGGGGGGGGGGGKKKIIIGGGGGGHHHIIIHHHGGGIIIHHHGGGFFFEEEEEEEEEEEEEEELLLOOOJJJDDDBBBBBBAAACCC@@@>>>===???@@@??????>>>>>>???@@@@@@@@@@@@@@@<<<<<<<<<>>>@@@@@@>>><<<<<<<<<;;;;;;;;;::::::::::::;;;<<<<<<======<<<<<<::::::;;;;;;;;;:::999999999888777555444444444444777777666555444444333333555555555555555555555555111111111222222333333333222222222222222222222222333222000///.........///////////////000000000000......---------,,,,,,,,,,,,,,,------------------......////////////............///000000000000000////////////000000000000111111222333333333333222444:::CCCLLLWWWdddrrr|||}}}|||{{{{{{hhhVVVJJJCCC@@@???===:::999;;;999555555888777999<<>>CCCEEEFFFDDDCCCCCCGGGJJJGGGHHHJJJLLLMMMOOOQQQSSSTTTUUUYYY^^^``````eeelllllltttyyy|||qqq\\\MMMCCC;;;999:::999888999;;;:::999999:::===???AAAAAADDDCCCIIIXXXcccttt~~~vvvaaaRRRLLLEEE@@@????????????>>>>>>>>>?????????@@@@@@@@@???@@@BBBBBBCCCKKKTTTsss}}}iii^^^YYYUUUQQQPPPOOOMMMLLLJJJIIIHHHHHHFFFFFFFFFFFFFFFFFFFFFFFFHHHFFFDDDDDDEEEFFFEEEDDDHHHHHHGGGFFFEEEEEEEEEFFFFFFKKKMMMHHHCCCBBBBBBAAABBB@@@>>>===>>>??????>>>===>>>??????@@@@@@?????????>>>>>>???@@@???===;;;<<<<<<<<<;;;;;;;;;:::::::::;;;<<<<<<======<<<<<<::::::;;;;;;::::::999999999999888777666666666666777666666555444444333333444444444444444444444444111111111222222333333333222222222222222222222222333222000///.........///.../////////000000000000............---------,,,***++++++,,,---...//////......////////////......//////000111111111111111.../////////000000000000000111222222333333222222444777<<>>?????????@@@AAAHHHJJJNNNQQQSSSTTTSSSSSSJJJKKKLLLMMMNNNNNNNNNNNNKKKKKKKKKIIIFFFFFFGGGIIIHHHHHHGGGFFFFFFEEEFFFFFFGGGFFFDDDCCCCCCDDDCCCCCCCCCFFFGGGHHHGGGHHHLLLOOOLLLNNNQQQRRRSSSVVV[[[___eeedddgggmmmpppqqquuu|||qqqZZZIIIAAA:::;;;<<<;;;;;;===999:::;;;;;;:::<<>><<>>???AAACCCCCCHHHUUUbbblll\\\WWWVVVRRROOONNNMMMLLLKKKJJJJJJJJJJJJFFFFFFFFFFFFFFFFFFFFFFFFJJJIIIGGGGGGHHHHHHHHHGGGHHHGGGGGGFFFFFFFFFGGGGGGGGGKKKKKKEEE@@@@@@AAAAAAAAA@@@>>>===>>>??????>>>======>>>???????????????BBBAAA??????@@@???<<<:::<<<<<<<<<;;;;;;;;;;;;::::::;;;<<<<<<======<<<<<<:::::::::::::::999888888777777777666666666777777666666555555444333333333222222222222222222222222111111111222222222222222222222222222222222222222222111000///.........///....../////////000000000/////////.........------)))***+++,,,---...///000......////////////......///000000111111111111111....../////////000000000000000111222222222222222444444555666;;;GGGUUU___nnnuuuzzzqqq~~~uuujjjcccUUUMMMFFFDDDCCC???<<<===;;;:::888777666666666777888888999999999999999999>>>@@@EEEIIIMMMOOOPPPPPPNNNPPPSSSWWWYYY[[[\\\\\\ZZZZZZYYYVVVSSSQQQQQQRRRSSSRRRQQQPPPOOONNNNNNMMMLLLKKKJJJHHHHHHHHHHHHIIIIIIKKKMMMNNNOOOPPPQQQSSSTTTXXX\\\^^^```eeennnvvv{{{zzz|||{{{bbbMMM@@@;;;888999;;;:::;;;>>>999===@@@@@@>>>@@@FFFLLLSSS___iiizzzvvvwwwwwwxxxzzzooo\\\OOOHHHAAA@@@@@@??????>>>===<<>>???AAACCCFFFOOOdddwwwsss```VVVUUUWWWUUUQQQNNNMMMLLLKKKJJJIIIIIIIIIFFFFFFFFFFFFFFFFFFFFFGGGLLLJJJIIIIIIJJJJJJIIIHHHGGGGGGFFFFFFFFFGGGHHHHHHGGGJJJIIIBBB???@@@BBBAAAAAA???>>>>>>??????>>>=========>>>????????????>>>BBBAAA??????@@@@@@>>><<<<<<<<<<<<<<<;;;;;;;;;;;;:::;;;<<<<<<===<<<<<<<<<:::::::::::::::999888777444333333333444444555666555555555444444333333333333333333333333333333333111111111111111222222222111111111111111111111111111111000///////////////........./////////000000000////////////.........******+++,,,------......---......//////......---...//////000000000000000........./////////000000///000000111222111111111333333333333666>>>JJJSSSaaakkkzzz|||tttooovvvzzzmmmeee]]]ZZZUUUMMMEEEBBBBBB@@@===:::999999;;;<<<999888777777888999888888777999<<>>BBBEEEFFFFFFLLLXXXcccrrrlllnnnqqqvvv|||nnnZZZNNNIIIJJJBBBBBB@@@???======>>>>>>?????????@@@@@@@@@AAAAAA>>>>>>@@@EEEKKK[[[vvvrrrfffYYYSSSUUUXXXVVVSSSOOONNNMMMKKKIIIHHHGGGGGGFFFFFFGGGGGGHHHIIIIIIJJJJJJIIIGGGGGGHHHHHHHHHGGGGGGGGGGGGGGGGGGGGGHHHHHHGGGIIIFFFAAA>>>AAACCCBBBAAA@@@??????@@@@@@???=========>>>???????????????@@@???>>>>>>@@@AAA@@@???======<<<<<<<<<;;;;;;;;;:::;;;<<<<<<===<<<<<<<<<::::::::::::999888777666222222222222333444555666444444444444444333333333333333333333333333333333111111111111111111111111111111111111111111111111000000000000000/////////............////////////000////////////.........,,,,,,,,,,,,,,,,,,++++++------............------,,,------...........................////////////...///000000111111000000///111333333555:::AAAHHHPPP]]]pppvvvssstttuuuxxx|||xxxpppbbbUUUOOOPPPMMMIIIDDDAAA???>>>>>>:::888555555777888888666777888:::<<<===>>>>>>===@@@EEEMMMXXXccclllsssvvvwwwxxxyyyxxxvvvuuuuuuvvvsssrrrpppmmmiiieeeaaa___aaaaaa___ZZZVVVTTTVVVXXX\\\^^^ccciiilllnnnmmmllljjjoootttzzzppp^^^OOODDD===>>>===>>>@@@>>>===AAAGGGGGGJJJLLLMMMQQQ]]]ooo}}}___ccckkkvvvyyyhhhXXXLLLDDDCCCFFFCCCCCCAAA???===<<>>>>>>>>???@@@@@@@@@@@@@@@@@@>>>======???@@@@@@@@@=========<<<<<<<<<;;;;;;:::;;;<<<<<<======<<<<<<::::::::::::999888666666444444444444444555666777444444333333333333333333444444444444444444444444111111111111111000000000111111111111111111111111//////000000000000//////------.........//////////////////.........---------------,,,++++++******------............------+++,,,,,,---------------------........./////////......///000000000000000+++...222333333555:::>>>FFFRRRdddsss}}}xxxxxx{{{~~~{{{ooojjjhhheee```YYYQQQIIIDDDAAA>>>:::666555777888777444555666888999;;;<<<======999===DDDNNNYYYcccjjjooouuuxxx||||||yyyvvvtttqqqqqqnnniiidddbbbdddhhhiiimmmuuu}}}vvvrrrmmmbbbUUUIIIBBB@@@@@@======AAACCCCCCCCCKKKTTT]]]^^^___aaahhhvvvWWW^^^iiiwwwjjj^^^RRRKKKFFF@@@>>>@@@???AAABBB@@@>>>===???BBBAAAAAAAAAAAABBBBBBBBBBBBCCCFFFPPP```rrrqqqbbbYYYWWWUUUTTTTTTTTTSSSSSSMMMMMMKKKJJJIIIHHHHHHHHHGGGHHHJJJLLLOOOQQQSSSTTTRRRPPPNNNNNNOOOOOOOOONNNJJJIIIHHHGGGGGGGGGGGGGGGCCCEEEDDDAAABBBFFFGGGDDDCCCBBBBBBCCCDDDCCCAAA?????????@@@AAAAAAAAAAAAAAAAAA???===<<<===>>>>>>>>>============<<<<<<<<<<<<:::;;;<<<<<<======<<<<<<::::::::::::888777666555444444444444444444555555333333333333333333333333222222222222222222222222222111111111000000000///111111111111111111111111...///000111111000//////---------.........//////............---------,,,,,,,,,,,,+++++++++++++++,,,------......------,,,+++,,,------......---------------.........//////---...//////000000//////,,,///222222111111555888@@@GGGSSSaaaooozzzwwwmmmaaaWWWQQQKKKEEE???===>>>>>>;;;777777777888999:::;;;<<<<<<:::;;;>>>CCCJJJQQQWWWZZZeeeiiinnnssswwwzzz~~~}}}~~~yyytttssswww{{{{{{pppddd\\\UUUPPPJJJEEECCCAAABBBDDDBBBEEEKKKPPPRRRWWWcccpppWWW^^^jjjxxxzzzfffWWWLLLEEEGGGGGGBBB>>>>>>;;;>>>AAABBB@@@???@@@BBBBBBBBBBBBCCCCCCCCCDDDDDDIIINNN[[[pppzzz|||uuubbbUUUUUUVVVWWWWWWUUUTTTSSSSSSKKKKKKJJJIIIIIIIIIJJJJJJHHHIIIKKKNNNQQQSSSVVVWWWPPPNNNLLLLLLMMMNNNMMMLLLKKKJJJIIIHHHGGGFFFFFFFFFBBBDDDDDDBBBDDDHHHHHHEEECCCCCCCCCDDDEEEDDDBBB@@@@@@@@@AAABBBBBBBBBBBBAAABBB@@@===<<<<<<===<<<;;;>>>=========<<<<<<<<<<<<:::;;;<<<<<<======<<<<<<;;;;;;::::::888777666555333222222111111222222333333333333333333333333333111111111111111111111111222111111111000000//////000000000000000000000000...///000111111000//////---------.........//////......---------,,,,,,,,,*********++++++,,,,,,,,,,,,------......------,,,,,,---......//////......---------.........//////---......///////////////000222333222///000333777999:::AAAOOO```nnnuuuvvv}}}yyymmmfffYYYRRRKKKGGGGGGFFFBBB>>>>>>>>>>>>===============>>>===<<<===???CCCGGGIIIPPPTTTYYY]]]```cccfffhhhmmmpppuuuzzzttteee___^^^XXXOOOJJJGGGCCCBBBEEEHHHIIIIIIJJJOOOSSS[[[ccchhhpppXXX]]]gggqqqzzzrrr___UUUJJJGGGBBB>>><<<;;;===>>>AAA???======>>>?????????DDD@@@???DDDEEECCCEEEKKKRRReee}}}||||||}}}xxxfff]]]ZZZTTTSSSSSSRRRQQQQQQPPPPPPNNNLLLKKKIIIIIIJJJLLLMMMMMMMMMLLLNNNRRRUUUVVVUUUOOOLLLIIILLLPPPQQQNNNJJJIIIIIIHHHGGGFFFDDDDDDCCCDDDCCCBBBBBBCCCDDDEEEFFFDDDCCCCCCCCCCCCBBBBBBBBBBBBBBBCCCCCCDDDCCCCCCBBBCCCAAA???===<<<<<<===>>>;;;;;;;;;;;;;;;;;;;;;;;;??????>>>>>>===;;;:::999;;;;;;::::::999888777777555444444444444333333333555555666666555333222000333333333222222222111111000000000000000000000000000000//////.........---,,,---...//////...---,,,......---------,,,,,,,,,........................------,,,++++++,,,,,,,,,/////////---,,,+++---///........................---------............///........................,,,---...///111333444555777999<<>><<<<<<===>>>@@@???>>>>>>@@@AAAAAAAAAGGGCCCCCCFFFIIIJJJPPPWWWiii{{{}}}www|||~~~mmmbbbZZZVVVSSSRRRRRRQQQPPPPPPOOOOOOMMMLLLKKKJJJKKKLLLNNNPPPNNNMMMLLLMMMOOOQQQQQQPPPMMMKKKJJJKKKNNNOOOLLLJJJFFFEEEEEEEEEEEEDDDDDDDDDDDDCCCBBBBBBCCCDDDEEEFFFCCCCCCCCCCCCBBBBBBBBBBBBBBBBBBCCCCCCCCCBBBAAAAAA@@@???===;;;;;;;;;<<<===;;;;;;;;;;;;;;;;;;;;;;;;===>>>>>>======<<<;;;:::;;;;;;::::::999888888777666666666666555555555555444555555555555333222111222222111111111000000000////////////////////////000/////////............------...//////...------.........---------,,,,,,........................---,,,,,,++++++,,,,,,---/////////---,,,+++---///........................------------....................................------...000111222333444333444666:::???GGGQQQWWWdddqqq||||||yyy{{{~~~sssmmmllljjjiiiiiihhhddd^^^YYYQQQOOOMMMOOORRRTTTSSSPPPLLLGGGEEEFFFFFFEEEFFFIIIJJJKKKMMMPPPTTTYYY^^^aaagggfffiiimmmpppssszzznnnggg___[[[ZZZZZZXXXUUUSSSPPPMMMLLLNNNPPPOOONNNNNNOOOTTT\\\bbbfffmmmtttzzzKKKNNNSSSZZZaaagggkkkmmmrrrwww~~~nnn```UUUKKKDDDCCCBBBAAA@@@???>>>=========>>>??????@@@BBBCCCCCCDDDFFFDDDDDDIIIOOOVVVaaakkk||||||}}}iii```[[[VVVPPPQQQQQQPPPPPPOOOOOONNNNNNLLLLLLLLLLLLMMMOOOPPPRRRNNNLLLKKKJJJKKKLLLKKKJJJJJJKKKKKKKKKKKKKKKJJJJJJBBBBBBBBBCCCCCCDDDDDDEEECCCCCCCCCBBBCCCCCCDDDEEECCCCCCBBBBBBBBBAAAAAAAAAAAAAAABBBBBBAAA@@@??????===<<<;;;:::::::::<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<=========<<<<<<;;;;;;::::::999999888888888888888888777777777666666444444555555444333222111111111000000000/////////////////////////////////////////////............------...//////...------.........------------,,,------------------------,,,,,,,,,++++++,,,,,,---...//////---,,,+++---...------------------------------------..........................................///000000111222222000111111222555:::AAAEEENNN]]]pppwwwzzzxxx{{{~~~yyyjjjhhhgggiiinnnpppooommmaaaYYYSSSPPPLLLFFFDDDEEEGGGFFFDDDDDDFFFHHHLLLNNNRRRQQQTTTZZZ^^^aaahhhooo|||sssggg^^^\\\YYYVVVTTTSSSSSSSSSPPPQQQTTTYYY___dddffffffaaadddmmmzzzFFFGGGKKKOOOUUUZZZ^^^```dddjjjrrryyy}}}{{{lll\\\QQQKKKEEEBBBCCC>>>>>>?????????>>>>>>===>>>???AAABBBBBBBBBCCCDDDEEEGGGLLLTTT___mmm~~~mmm[[[VVVUUURRRNNNOOOOOOOOOOOONNNNNNMMMMMMNNNNNNMMMMMMNNNOOOPPPQQQMMMKKKIIIIIIJJJJJJIIIHHHIIIKKKLLLLLLJJJIIIIIIJJJAAAAAABBBBBBCCCDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCBBBBBBBBBBBBAAAAAAAAA@@@@@@AAAAAA@@@@@@???>>>===;;;;;;:::::::::;;;<<<<<<;;;;;;;;;;;;;;;;;;:::::::::;;;<<<<<<=========<<<:::::::::999999888888888888888888777777777666666444444444444333333222222111111000000000////////////////////////////////////////////////.........---..................---............------------------------------------,,,,,,+++++++++,,,---------...///...,,,+++,,,---------------------------,,,,,,---------................................./////////000000000000000111111111111111444888<<<@@@LLL^^^nnn|||xxxzzzzzz{{{|||zzzqqqmmmfff\\\TTTQQQQQQQQQQQQPPPPPPPPPPPPOOOOOOLLLLLLPPPTTTXXX___fffoooppprrrssssssqqqjjjeeecccfffjjjkkkiiihhhhhhjjjeeehhhoooxxx}}}AAABBBCCCFFFIIIMMMQQQSSSWWW]]]eeemmmsssxxx|||~~~rrr```VVVLLLGGGCCC???===???<<<===>>>???@@@??????>>>???AAACCCCCCAAAAAACCCEEEIIIRRR^^^kkkzzzzzzgggXXXQQQPPPPPPOOONNNNNNNNNNNNNNNMMMMMMMMMPPPOOOOOONNNNNNMMMMMMMMMKKKIIIHHHHHHIIIJJJJJJIIIIIIKKKLLLKKKIIIHHHHHHIIICCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCBBBBBBBBBAAAAAAAAA@@@@@@@@@@@@??????@@@@@@???>>>>>>===<<<<<<<<<<<<<<<<<<======<<<<<<;;;;;;;;;:::::::::999:::;;;<<<============::::::999999999999999888777777666666666666555555444333333333222222222222222222111111111000000000.................................///////////////.........------.........//////.........---------------------------------,,,+++++++++,,,,,,---...,,,...///...,,,+++,,,---------------------------,,,,,,,,,------------...........................////////////////////////111222222222222333666999;;;AAANNN]]]jjjvvv|||xxxyyy}}}{{{{{{~~~yyymmmgggfffhhhkkkmmmllljjjfffccc[[[VVVSSSVVV\\\aaajjjrrrwwwuuutttvvvwwwxxxyyyzzzzzz======>>>@@@BBBDDDFFFGGGLLLQQQXXX```hhhnnntttxxx~~~lll[[[NNNHHHCCCBBB@@@===;;;===<<<===>>>???@@@@@@@@@@@@@@@BBBDDDCCCBBBBBBFFFJJJOOO___sssuuummmbbbWWWPPPNNNOOOPPPNNNNNNNNNNNNNNNNNNMMMMMMOOOOOONNNMMMLLLKKKJJJJJJIIIHHHFFFGGGIIIKKKKKKJJJIIIIIIIIIIIIHHHGGGFFFFFFBBBBBBBBBBBBBBBBBBCCCCCCBBBCCCCCCCCCCCCBBBAAAAAAAAAAAAAAA@@@@@@@@@??????>>>>>>???????????????>>>========================<<<<<<<<<;;;;;;::::::999999:::;;;<<<<<<<<<<<<<<<999999999999999999999999666666555555555444444444333333222222222222333333222222111111111000000000.................................//////////////////...------------...////////////.........------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,---......+++---......,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------........................////////////////////////...000111111111222444666777:::BBBNNN[[[gggvvv}}}xxxvvvyyy|||vvvuuuuuurrrwww~~~rrrllliiinnnvvv}}}===>>>>>>???@@@AAAAAAAAACCCGGGMMMTTT[[[bbbjjjoootttxxx~~~mmmZZZNNNGGGCCC@@@AAAAAA>>>===???>>>>>>??????@@@AAAAAAAAA@@@CCCEEEDDDCCCFFFMMMSSS]]]rrriiiccc[[[TTTPPPOOOOOOOOONNNNNNNNNNNNNNNNNNNNNNNNLLLLLLLLLLLLKKKJJJIIIIIIHHHGGGFFFFFFHHHIIIIIIHHHHHHFFFDDDEEEGGGFFFDDDAAA>>>??????@@@AAABBBCCCCCCBBBBBBCCCCCCCCCBBBAAA@@@@@@@@@@@@@@@????????????======>>>???@@@@@@@@@@@@>>>>>>>>>>>>======<<<;;;===<<<<<<;;;::::::999999::::::;;;<<<<<<<<<;;;;;;999999999999999999999999666666666555555555444444333333222111111222333444111111000000000/////////..................................../////////000///...------------...///////////////............,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,---...///+++---......,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------........................---.........//////000000---///111111000000111333444333888CCCMMMWWWeeeqqqyyy~~~{{{zzz|||{{{vvvyyy|||@@@@@@AAABBBBBBBBBAAAAAA???BBBFFFLLLRRRZZZbbbgggkkkooovvv{{{rrrdddWWWKKKDDDDDD@@@>>>??????<<<===@@@@@@?????????@@@AAABBBBBB@@@CCCEEEEEEEEEJJJSSSZZZooo~~~rrrddd]]]UUUPPPOOOPPPOOOMMMNNNNNNNNNNNNNNNNNNOOOOOOHHHIIIJJJJJJJJJJJJJJJIIIIIIGGGEEEEEEFFFGGGFFFEEEGGGCCC@@@BBBEEEFFFAAA===:::;;;===>>>@@@BBBCCCDDDBBBBBBCCCDDDCCCBBB@@@???@@@@@@@@@????????????>>><<<===>>>@@@AAAAAAAAAAAA>>>>>>>>>>>>===<<<;;;:::======<<<;;;::::::999999:::;;;;;;<<<<<<;;;;;;:::999999999999999999999999666666666666555555555555333222111111111222333444000/////////....................................---.........//////000000///...---,,,,,,---...///000/////////............,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,---...///+++,,,......---+++***+++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------........................------......///000000111...000111222000000000111333000333<<>>======@@@???@@@CCCHHHOOOVVVZZZ```fffnnntttyyy}}}vvvfffXXXPPPJJJDDD?????????>>>>>>>>>>>>>>>???>>>======???AAABBBBBBAAA@@@CCCHHHKKKJJJOOObbbwwwooofff[[[VVVQQQNNNOOOPPPOOONNNNNNLLLJJJJJJJJJKKKJJJIIIKKKJJJJJJJJJJJJIIIIIIIIIHHHGGGFFFEEEDDDDDDDDDDDDDDDCCCBBBBBBAAAAAAAAAAAA@@@@@@@@@AAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBAAA@@@???>>>===<<<===>>>===<<<===???@@@??????>>>===============;;;::::::::::::::::::999888777777777777777888888:::999777666666666777888666555444333333444666777222222222222222111000///////////////............---------,,,,,,------......///000111111000///...000///............//////,,,---///000000///---,,,++++++++++++++++++++++++******+++++++++,,,,,,,,,,,,+++***))))))***+++,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------......---,,,---...///000111111222222222111111000...222555777888>>>GGGOOOZZZhhhwww]]]YYYSSSKKKDDDAAA@@@@@@??????@@@BBBEEEIIIMMMOOOUUUZZZccckkkqqqvvv{{{~~~}}}fff^^^RRRJJJFFFDDDAAA>>>??????>>>>>>>>>>>>??????AAAAAA@@@@@@AAABBBBBBAAAEEEGGGKKKQQQVVVaaaxxxqqqccc\\\YYYUUUQQQOOOPPPPPPNNNMMMNNNLLLJJJJJJKKKLLLKKKJJJJJJJJJJJJJJJIIIIIIIIIHHHHHHGGGFFFEEEDDDDDDDDDDDDEEEDDDCCCBBBAAA@@@@@@@@@@@@@@@@@@AAAAAAAAAAAABBBAAAAAAAAAAAAAAAAAAAAAAAA@@@@@@AAAAAAAAA@@@??????<<<===>>>>>>======>>>@@@???>>>>>>===============;;;::::::::::::999999999888777777666666777777888999888777666555666777777555444222111111222444555111222222222222111000///////////////..................---,,,,,,,,,------,,,---............---,,,........................,,,---...//////...---,,,++++++++++++++++++++++++******+++++++++,,,,,,,,,---,,,++++++++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------.........------,,,---...///000000000000111111000000//////222555666666999@@@FFFOOO\\\kkkuuu|||tttmmmcccWWWNNNGGGDDDCCC???@@@AAABBBCCCCCCDDDDDDJJJOOOVVV]]]dddjjjqqquuu}}}lllaaaQQQLLLEEEBBBBBBBBBAAA?????????>>>>>>>>>??????@@@@@@@@@?????????@@@AAABBBIIIKKKRRR]]]kkk~~~~~~}}}nnnbbbZZZWWWVVVTTTRRRPPPPPPOOOMMMKKKMMMKKKJJJJJJLLLMMMMMMLLLIIIIIIIIIIIIHHHHHHHHHHHHHHHGGGFFFEEEEEEDDDDDDEEEEEEDDDCCCAAA@@@@@@????????????@@@@@@@@@AAAAAAAAA@@@@@@@@@@@@@@@@@@@@@@@@>>>??????@@@AAAAAA@@@@@@<<<>>>???>>>======>>>@@@>>>>>>>>>=========<<<<<<;;;;;;::::::999999999999777777666666666666777777777777666555555555555666444333111000///000111111111111222222111111000000////////////............///...---,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,+++------............------,,,---...//////...---,,,++++++++++++++++++++++++******+++++++++,,,,,,,,,,,,++++++******++++++,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,------------............---------,,,---......///...//////000000//////...///222444444333444777;;;AAALLLXXXbbblllxxx~~~yyyxxx}}}}}}vvviii\\\RRRJJJFFFBBBBBBAAA@@@@@@@@@@@@@@@FFFIIIMMMRRRWWW^^^dddiiivvvzzzxxxfffXXXPPPIIIFFFCCCAAAAAAAAA@@@>>>??????>>>>>>??????@@@@@@???????????????AAAEEEGGGIIIPPP^^^qqquuuuuu}}}kkk```\\\ZZZYYYRRRRRRRRRQQQPPPNNNLLLJJJKKKJJJHHHIIIKKKLLLLLLLLLIIIHHHHHHHHHGGGGGGGGGGGGGGGFFFEEEEEEDDDDDDDDDEEEEEEDDDCCCAAA@@@??????>>>????????????@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@??????@@@@@@@@@@@@??????===>>>??????>>>===>>>???===============<<<<<<<<<;;;;;;::::::999888888888777777666555555555666666666666555555444444444444444333222000////////////000000111111111111000000////////////............///......---,,,,,,,,,,,,------------------------+++,,,---......------,,,,,,------......------,,,++++++++++++++++++++++++******+++++++++,,,,,,,,,)))(((((((((((((((((())),,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,------,,,,,,,,,------------...,,,,,,,,,---------............///000000000//////...000333333111111222444888???GGGNNNWWWcccooovvv{{{yyy|||{{{nnnaaaTTTLLLIIIFFFBBB???===>>>???AAACCCDDDGGGJJJNNNVVV^^^dddtttxxx}}}uuufff[[[QQQJJJGGGCCCBBB@@@???>>>===;;;:::???????????????@@@AAAAAABBBBBBBBBBBBBBBDDDJJJNNNOOO]]]rrrwwwrrrwwwmmm^^^YYYXXXXXXWWWPPPQQQQQQQQQOOOMMMKKKJJJIIIHHHGGGGGGIIIKKKJJJJJJGGGGGGGGGGGGFFFFFFFFFFFFEEEEEEDDDDDDCCCCCCDDDDDDDDDDDDBBBAAA@@@?????????>>>>>>>>>?????????@@@@@@AAAAAAAAAAAAAAAAAAAAAAAA@@@@@@@@@@@@???>>>===<<<===???@@@@@@???>>>>>>>>><<<======>>>===<<<;;;;;;;;;;;;:::999999888777777777666666555444444555555555555555555555444444333444444333222111000000000///000000111111111000000////////////............///...---,,,,,,,,,,,,,,,---------,,,,,,---------******+++,,,,,,,,,,,,,,,,,,------------------,,,++++++++++++++++++++++++******+++++++++,,,,,,,,,((((((((())))))(((((((((************************+++++++++,,,,,,---------******+++++++++,,,,,,,,,,,,,,,,,,---------------...///000000111111111000---///111222222111111222666888;;;@@@FFFQQQ___iii{{{}}}}}}~~~}}}qqqddd[[[UUUQQQKKKDDD@@@??????@@@??????AAACCCIIIRRR\\\dddppptttxxxzzz{{{|||lll[[[QQQKKKFFFEEEEEE???????????????>>>>>>>>>???????????????@@@AAABBBAAABBBCCCCCCEEEIIIRRRXXXgggwww}}}zzzyyy{{{pppaaaWWWSSSSSSRRRPPPNNNPPPQQQPPPNNNKKKJJJJJJIIIGGGFFFFFFHHHIIIIIIHHHGGGFFFFFFFFFEEEEEEEEEEEECCCCCCBBBBBBBBBBBBCCCCCCCCCBBBAAA@@@@@@??????@@@===>>>>>>>>>>>>?????????AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA@@@???===<<<;;;===???AAAAAA???>>>===>>><<<<<<===>>>===<<<;;;:::;;;;;;:::999888777777666777666555444444444444444555555666666555555444333444333333333222222111111//////000000111111000000////////////............---------,,,,,,------...,,,++++++******++++++,,,******))))))***+++,,,------,,,,,,,,,,,,,,,,,,---++++++++++++++++++++++++******+++++++++,,,,,,,,,***++++++,,,,,,++++++******************************++++++,,,,,,------...************++++++++++++++++++,,,------------,,,......///000111111111111---...///111222222222222555444555888<<>>>>>===>>>CCCLLLXXX```aaadddhhhkkkmmmrrryyyuuudddWWWLLLHHHGGGDDDCCCCCC???@@@@@@@@@@@@@@@AAABBB????????????@@@AAABBBCCCAAADDDIIINNNTTT^^^kkkuuukkkdddZZZSSSQQQPPPOOONNNMMMOOOPPPOOOLLLJJJJJJKKKJJJIIIGGGGGGHHHIIIHHHGGGFFFFFFEEEEEEEEEDDDDDDDDDBBBAAAAAA@@@@@@AAAAAABBBAAAAAA@@@@@@@@@@@@@@@AAA=========>>>>>>>>>??????@@@@@@@@@@@@@@@@@@@@@@@@???????????????>>>=========???BBBBBB@@@>>>======;;;<<<===>>>>>><<<:::999;;;;;;:::999888777666666777666555444333333333333555666666777666555444333222222222333222222222111...//////000000000000000////////////............,,,,,,,,,,,,------...///---,,,+++******+++,,,---***)))((('''(((***,,,...---,,,,,,,,,,,,,,,,,,---++++++++++++++++++++++++******+++++++++,,,,,,,,,++++++,,,------,,,++++++******************************+++,,,,,,---......******+++++++++,,,,,,,,,***+++,,,---------,,,,,,,,,---...///000000000000.........///000111111111222111222777888:::BBBLLLYYYeeerrr{{{~~~zzzvvvwww|||~~~zzzuuummmbbbVVVLLLDDD???AAA@@@===<<>>===>>>>>>???>>>======???@@@????????????@@@AAABBBCCCFFFLLLUUU___jjjzzziiiaaa]]]WWWRRRQQQQQQQQQQQQMMMOOOPPPNNNKKKIIIJJJLLLLLLJJJHHHHHHIIIIIIHHHGGGEEEEEEEEEEEEDDDDDDDDDDDD@@@@@@@@@??????@@@AAAAAA@@@@@@??????@@@@@@AAABBB============>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>======>>>???????????????===@@@BBBBBB@@@>>>======;;;<<<===>>>>>><<<:::999;;;;;;:::999888777666555777666555444333222222333555666777777777666444444000111111222222222222111......///000000000000000000/////////............+++++++++,,,---...///000//////------------//////+++)))'''&&&&&&)))---///---,,,,,,++++++,,,,,,---++++++++++++++++++++++++******+++++++++,,,,,,,,,)))***+++,,,,,,+++***)))++++++++++++++++++++++++******+++,,,,,,---......++++++,,,,,,,,,---------***+++,,,---...---,,,,,,+++,,,---...////////////000///------///000000000///...222777888555:::BBBKKKWWWeeeooozzzzzz{{{|||zzzzzz}}}}}}uuujjj\\\PPPHHHEEECCC@@@???@@@CCCFFFHHHGGGJJJNNNQQQTTTZZZccciiijjjpppwww~~~zzzlllbbbYYYPPPJJJEEEDDDBBB@@@??????@@@@@@>>>======???@@@AAA@@@???AAA@@@@@@AAA@@@???EEENNNSSSaaaqqq}}}zzzjjjeeeYYYXXXVVVRRROOONNNOOOQQQOOOOOONNNNNNMMMLLLLLLLLLIIIHHHFFFFFFGGGHHHGGGFFFGGGHHHKKKLLLLLLJJJGGGEEECCCBBBBBBAAAAAA@@@??????AAA???===<<<>>>??????>>>@@@@@@??????>>><<<;;;:::<<<<<<<<<======>>>>>>>>><<<===>>>===<<<;;;===>>>>>>>>>????????????>>>>>><<<<<<<<<<<<;;;;;;;;;;;;;;;;;;::::::999888777777555555444444444333333333666555555555555444444444444444333222222222333333222111000//////000111222...///000000000///---,,,---,,,,,,,,,,,,---............---,,,,,,,,,,,,---.........------,,,,,,,,,------------------------))))))***+++,,,,,,,,,,,,,,,,,,++++++***)))((((((,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,------,,,,,,,,,,,,,,,------,,,++++++***+++---//////...---,,,------------------------000///...------...///000///000111222222444777:::BBBJJJUUU___hhhttt~~~}}}ttthhh\\\UUUMMMIIIDDD@@@>>>>>>???@@@@@@CCCFFFHHHKKKPPPVVV[[[bbbgggooovvvzzz~~~vvvmmmaaaWWWQQQLLLGGGCCCDDDCCCAAA@@@?????????@@@AAA???>>>===>>>???@@@@@@@@@>>>>>>@@@AAADDDOOOZZZjjjyyymmm```\\\VVVVVVUUURRROOOMMMNNNOOONNNNNNNNNMMMLLLLLLKKKKKKJJJIIIGGGGGGGGGHHHGGGFFFEEEGGGJJJMMMMMMLLLIIIGGGDDDCCCBBBAAA@@@@@@@@@@@@AAA???======>>>?????????@@@@@@@@@???>>>===;;;:::;;;;;;;;;<<<<<<<<<======;;;===>>>===<<<;;;<<<============>>>>>>===============<<<<<<<<<;;;;;;;;;;;;::::::999888888777777555555555444444444333333555555555555444444444444555444333222222222222222111111000//////000111111...///000000///...---,,,---,,,,,,,,,,,,---............---,,,,,,,,,,,,---......---------,,,,,,,,,------------------------,,,,,,,,,---,,,,,,++++++,,,,,,++++++***))))))(((++++++++++++++++++++++++++++++++++++++++++++++++***+++,,,,,,------,,,,,,+++,,,,,,---,,,,,,++++++***+++---...///...---,,,------------------------000///...------...//////...///000000000222444777666<<>><<<;;;<<<===@@@AAACCCFFFKKKNNNUUUZZZbbbiiinnnssswwwzzz||||||}}}yyypppjjj[[[TTTLLLFFFDDDCCCAAA>>>AAAAAA@@@???>>>>>>>>>???BBB@@@>>>===>>>@@@BBBDDDCCCAAAAAACCCGGGPPPaaaqqqmmm^^^VVVUUUSSSTTTTTTRRROOOMMMLLLMMMMMMMMMMMMLLLKKKKKKJJJJJJKKKIIIGGGGGGGGGGGGFFFEEECCCEEEJJJMMMNNNMMMJJJHHHEEEDDDBBBAAA@@@@@@AAAAAAAAA???>>>>>>???AAA@@@???@@@@@@@@@???>>>===<<<;;;::::::::::::;;;;;;;;;;;;;;;<<<>>>===<<<;;;<<<===;;;<<<<<<======<<<<<<;;;=========<<<<<<<<<<<<;;;::::::999999888777777777555555555555555444444444555555444444444333333333555444333222111111111111111000000//////000000111...////////////...---------,,,,,,,,,,,,---............---,,,,,,,,,,,,,,,------------,,,,,,,,,,,,------------------------.........------+++******,,,,,,++++++***)))))))))***************************************************++++++,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,++++++***+++---.........---,,,,,,,,,,,,,,,------------///......---......//////---...//////...///111333222444999>>>FFFTTTdddnnnuuuzzzzzzvvvzzzzzzttthhhaaaXXXPPPJJJFFFAAA>>><<<===>>>???AAACCCEEEGGGIIIMMMTTT[[[aaafffkkkoooqqqrrruuuyyyxxxnnnggg```WWWQQQMMMHHHCCC@@@???>>>===<<>>>>>>>>>>>>>>???@@@?????????AAADDDFFFHHHGGGIIIMMMUUUccczzz}}}jjj___WWWSSSRRRPPPQQQRRRQQQNNNLLLKKKLLLLLLLLLLLLKKKJJJJJJIIIIIIKKKIIIFFFEEEEEEEEEDDDCCCBBBDDDHHHLLLMMMKKKIIIGGGFFFEEECCCAAA@@@AAABBBBBBAAA@@@??????AAABBBAAA@@@@@@@@@@@@@@@???>>>===<<<999999999::::::::::::::::::<<<>>>>>>===;;;;;;<<<<<<<<<<<<======<<<<<<<<<=========<<<<<<<<<;;;;;;999999888888777777777777555555555555555555555555444444444444333333333222555444333111000000000000000000000//////000000000.....................------,,,,,,,,,,,,---.........---,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***)))+++++++++*********))))))************************))))))))))))))))))))))))******+++,,,,,,,,,,,,+++******+++,,,,,,,,,,,,+++***+++,,,------------,,,,,,,,,,,,,,,,,,---------...------.........//////...///000///......///111444444555666:::CCCNNNVVV```fffnnnsssvvvzzz|||yyyyyy~~~wwwoooeee]]]WWWPPPHHHBBB======<<<<<<>>>@@@AAABBBAAAEEEJJJPPPUUUZZZ___cccfffhhhkkkooouuuzzzzzzrrrjjj___WWWTTTPPPKKKFFFBBB@@@===<<<;;;;;;::::::===>>>>>>>>>>>>>>>>>>>>>===???AAA@@@???@@@BBBDDDKKKNNNUUU^^^jjj||||||~~~kkk^^^YYYTTTQQQPPPNNNOOOPPPOOOMMMKKKKKKLLLLLLLLLKKKKKKJJJIIIIIIIIIIIIGGGEEEDDDDDDDDDBBBAAABBBDDDGGGIIIIIIHHHFFFDDDFFFEEEDDDBBBBBBBBBBBBCCCAAA@@@@@@AAACCCCCCCCCAAA@@@AAAAAAAAA@@@???>>>===:::::::::::::::::::::::::::<<>><<<<<<<<<<<<======>>>>>>======<<<<<<<<<<<<<<<;;;;;;;;;;;;888888777777777777666666444444555555555555555555444333333333222222222222444333222111000//////000/////////000000/////////...------------.........---,,,,,,,,,,,,---......------,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,(((((()))***************+++++++++***************++++++++++++++++++++++++)))))))))))))))))))))))))))***++++++,,,,,,++++++)))***++++++,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------,,,,,,---..................000111111//////000111222222111111333777<<<@@@JJJQQQYYYaaahhhpppxxx~~~}}}vvvkkkllluuuvvvyyy~~~|||ssslllfff^^^SSSKKKBBB???;;;::::::<<<=========???CCCFFFJJJNNNSSSWWWYYY\\\```cccgggmmmrrrwwwssslllddd]]]ZZZTTTNNNIIIHHHGGGDDDBBB=========<<<=========>>><<<===>>>???????????????>>>@@@BBBAAA@@@AAADDDHHHUUU\\\iiiwww~~~tttrrrvvvpppaaa[[[XXXSSSPPPNNNMMMNNNOOONNNLLLKKKLLLMMMLLLLLLLLLKKKJJJJJJIIIIIIHHHFFFDDDCCCDDDDDDCCCBBBCCCDDDEEEFFFFFFEEEEEEDDDEEEEEEEEEDDDDDDCCCBBBBBBAAAAAAAAABBBDDDEEEDDDBBBAAAAAAAAAAAAAAA@@@??????<<<<<<<<<<<<;;;;;;;;;;;;;;;===@@@AAA???>>>===============>>>>>>=========;;;;;;;;;::::::::::::999777777777666666666666666333333333444444444444444333333333222222222111111222111000000///000000000...//////000000//////...---------,,,------...///---,,,,,,,,,,,,---......------,,,+++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,&&&&&&'''((()))*********************************++++++++++++++++++++++++)))))))))))))))))))))))))))******+++++++++++++++((()))***+++,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,******++++++,,,,,,------+++,,,---..................000222222111000000111111111111222444666888999999@@@HHHQQQZZZeeepppxxx|||lllddd___[[[```hhhooouuu~~~~~~|||zzzssshhh___OOOJJJBBB>>>============;;;===>>>@@@AAADDDIIILLLMMMPPPTTTWWWZZZ^^^dddiiiqqquuuyyyzzzzzz}}}vvvtttmmmaaaYYYUUUPPPKKKIIIGGGDDDBBB@@@???@@@@@@======>>>>>>>>>>>>>>>>>><<<===>>>@@@@@@AAA@@@@@@???AAACCCDDDEEELLLVVV^^^oooyyyxxxssstttvvvlllbbbZZZYYYXXXUUUQQQQQQNNNNNNNNNMMMKKKKKKMMMOOOMMMMMMLLLLLLKKKJJJJJJIIIIIIGGGEEEEEEFFFFFFEEEDDDCCCCCCCCCCCCDDDFFFGGGHHHDDDEEEFFFFFFFFFDDDBBBAAAAAAAAAAAACCCEEEFFFEEECCCAAAAAAAAABBBAAAAAA@@@???>>>>>>>>>>>>======<<<<<<<<>>>>>;;;<<<<<<======<<<<<<;;;::::::999999999999888888666666666666666666666666222222222333333333444444222222222222111111111111000////////////000111111......///000000///......------,,,,,,,,,---...///---,,,,,,,,,,,,---......---,,,++++++***+++++++++******+++++++++,,,,,,,,,++++++++++++++++++++++++(((((()))))))))))))))(((************************************************************************))))))***+++++++++++++++((()))***++++++,,,,,,,,,+++++++++++++++,,,,,,---)))******+++,,,,,,------***+++,,,...//////......---///111222111000111111333222111222444666777777444888===CCCIIISSS___gggvvv{{{lll```\\\^^^cccgggjjjqqq{{{yyy|||sss]]]VVVLLLEEEBBBBBBAAA@@@;;;<<<<<<<<<<<<>>>BBBEEEEEEHHHLLLNNNQQQUUU[[[```dddiiimmmnnnooorrrxxx~~~qqqfff\\\[[[VVVMMMIIIJJJIIIFFFBBBBBBAAA???<<<;;;<<<===<<<======<<<:::888777777<<<===???@@@AAAAAAAAA@@@???AAADDDFFFLLLYYYjjjwwwxxxqqqnnnlllkkkrrr|||yyyggg^^^YYYUUUWWWYYYWWWUUUVVVOOOOOONNNLLLKKKKKKNNNPPPMMMMMMMMMLLLKKKKKKJJJJJJIIIHHHFFFFFFGGGHHHGGGGGGCCCBBBBBBBBBDDDGGGJJJLLLCCCEEEGGGHHHGGGEEEBBB@@@AAAAAABBBDDDFFFGGGEEECCCAAAAAABBBBBBBBBAAA@@@@@@@@@@@@??????>>>>>>>>>======???CCCDDDBBB@@@??????:::;;;;;;<<<<<<;;;;;;:::999999999888888888777777555555555666666666666666111111111222222333333333222222222111111111111000///......//////000111222---...///000000///...------,,,,,,+++,,,---//////---,,,,,,,,,,,,---......---,,,++++++******++++++*********++++++,,,,,,,,,++++++++++++++++++++++++***++++++******)))((('''******************++++++))))))))))))))))))))))))************************))))))***++++++++++++***(((((()))++++++,,,,,,,,,++++++******++++++,,,---))))))***+++,,,,,,------)))+++,,,...//////......+++...000111111000000111222///---,,,---///000000444666888999<<>>>>>AAAAAABBBDDDGGGJJJNNNOOOTTTXXX]]]___```dddlllsssuuuxxx~~~}}}vvvmmmddd[[[UUUIIIIIIGGGFFFDDDBBBAAA@@@???>>>===<<<<<<<<<<<<<<<>>>===;;;<<<===>>>???>>>>>>>>>???@@@AAAAAA???===EEEBBBFFFSSSdddtttqqqgggdddbbbcccjjjuuussseee]]]XXXWWWVVVUUUUUUUUUVVVWWWNNNMMMLLLLLLKKKLLLLLLLLLNNNNNNMMMMMMLLLKKKKKKKKKGGGGGGGGGFFFFFFGGGHHHHHHIIIGGGEEEDDDCCCDDDEEEFFFGGGFFFFFFFFFEEEEEEDDDDDDDDDEEEEEEEEEEEEEEEDDDCCCBBBCCCCCCCCCCCCCCCBBBBBB@@@??????>>>===<<<<<<;;;>>>???AAACCCCCCAAA???>>><<<<<<<<<===???@@@???>>>;;;;;;:::999888777666555333444444444555555666666777666555444444444444444111111111111111111222222000000000000000000000000000000//////.........---,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,+++***************************++++++++++++++++++++++++++++++************++++++++++++++++++++++++++++++))))))))))))))))))))))))************************((())))))))))))*********,,,++++++******++++++,,,++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,------...,,,+++,,,///111///---++++++,,,---...///000111///////////////000111111222333444555777:::@@@DDDXXXbbbooo{{{yyy{{{}}}|||xxx{{{jjjpppuuuvvvzzz|||}}}xxxjjj^^^SSSHHHAAA???<<<999888:::<<<<<<;;;>>>>>>>>>???AAADDDFFFGGGJJJNNNRRRTTTUUUXXX___eeejjjmmmsssyyy{{{vvvrrrllliiiccc^^^XXXRRRKKKFFFDDDCCCBBBAAA???>>>============<<<<<<<<<<<<======>>>===<<<<<<<<<<<<;;;:::<<<<<<>>>???@@@AAAAAAAAAHHHLLLWWWiii{{{~~~oooccc^^^___aaahhhtttuuuiii___XXXUUUTTTSSSRRRQQQRRRRRRSSSNNNNNNMMMLLLLLLLLLLLLLLLMMMLLLLLLKKKKKKJJJJJJIIIGGGGGGGGGGGGGGGGGGGGGHHHHHHGGGEEEDDDCCCDDDEEEFFFFFFFFFEEEEEEEEEDDDDDDDDDAAABBBCCCDDDDDDDDDDDDDDDCCCCCCCCCCCCCCCBBBAAAAAA?????????>>>===<<<<<<<<<===???AAABBBBBBAAA???===<<<<<<;;;===>>>???===<<<<<<<<<;;;:::999888777777444444555555555666666666555555444333333333333333111111111111111111111111////////////////////////000/////////.........---,,,,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++***++++++++++++++++++++++++++++++++++++++++++++++++,,,++++++++++++++++++,,,++++++++++++++++++++++++))))))))))))))))))))))))************************((((((((()))))))))******,,,++++++******++++++,,,+++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,------...,,,+++,,,...000...---+++,,,,,,---...///000000///////////////000000111111222222333444777<<>>>>>======<<<<<<;;;===<<<<<<<<<<<<======>>>============<<<<<<;;;;;;===>>>???@@@AAACCCFFFIIINNNWWWjjjqqqccc]]]]]]bbbeeekkkvvvmmmccc^^^XXXTTTRRRRRRPPPOOONNNNNNNNNNNNOOONNNNNNMMMLLLMMMMMMMMMKKKKKKKKKJJJIIIIIIHHHHHHGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGEEEDDDDDDDDDEEEFFFEEEEEEDDDDDDDDDDDDDDDCCC???@@@AAACCCDDDDDDEEEEEEDDDDDDDDDCCCBBBAAA@@@?????????>>>>>>======<<<<<<<<<>>>???AAAAAA???>>><<<===<<<;;;<<<======;;;999;;;;;;:::999888777666666555555666666666666777777444444333222222222333333111111111111111111111111/////////////////////////////////...............++++++++++++++++++++++++,,,,,,---------,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,++++++,,,,,,,,,************************))))))))))))))))))))))))************************((((((((())))))))))))***++++++************++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,+++***+++---...---,,,,,,,,,------........./////////......//////000111//////000000000222666999???CCCIIIPPPXXXdddqqqzzzqqqsssttttttxxx|||xxxrrriiilllttt|||vvvdddVVVQQQMMMFFF@@@<<<:::999999<<<;;;:::::::::;;;<<<===>>>@@@BBBCCCCCCEEEHHHKKKMMMPPPTTTZZZ```eeehhhiiinnnqqqsssvvvxxx{{{{{{uuunnngggbbb\\\[[[YYYVVVRRRNNNKKKIIIFFFEEECCCCCCCCCCCCAAA???========================>>>======<<<<<<<<<<<<===:::;;;=========>>>???@@@@@@CCCFFFFFFFFFJJJQQQVVV___kkkzzznnnddd^^^bbblllxxx|||kkk]]]YYYXXXUUURRRRRRQQQPPPOOOMMMMMMLLLLLLOOOOOONNNMMMMMMMMMMMMMMMKKKKKKJJJJJJIIIIIIHHHHHHGGGGGGHHHHHHGGGGGGFFFFFFGGGFFFEEEDDDDDDEEEFFFFFFDDDDDDDDDDDDCCCCCCCCCCCCAAABBBCCCCCCDDDDDDDDDDDDDDDDDDCCCCCCAAA@@@>>>>>>???>>>>>>>>>=========<<<<<<===>>>??????>>>===<<<===;;;:::;;;;;;;;;999777888777777666555444444444666666666777777777777777444444333333333333333444222222222111111111111111////////////////////////........................++++++++++++++++++++++++,,,,,,,,,------,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,++++++******++++++,,,))))))))))))))))))))))))))))))))))))))))))))))))************************)))))))))************+++++++++************++++++***************************************************++++++++++++,,,,,,,,,+++++++++++++++,,,++++++------------------------///............///000000...//////......///222444777:::>>>BBBIIISSS```iiirrrwww}}}vvvyyy{{{|||~~~yyyqqqaaadddkkktttyyy|||rrrfffbbb]]]SSSHHH@@@;;;::::::::::::999888999:::;;;<<<>>>???@@@@@@@@@AAACCCDDDDDDFFFJJJOOOSSSXXX[[[\\\```bbbeeehhhjjjmmmqqqtttuuuwww{{{~~~|||yyyxxxqqqmmmhhhccc]]]WWWQQQMMMHHHHHHGGGFFFDDDBBB@@@@@@???>>><<<<<<>>>>>>===<<<============>>>>>>>>>>>>??????>>><<<<<<;;;;;;;;;999;;;===<<<<<<===@@@CCCBBBHHHNNNPPPRRRYYYdddmmmzzzwwwjjjiiilllppp|||wwwkkk]]]UUUTTTTTTRRROOORRRRRRQQQPPPOOONNNMMMLLLOOONNNMMMMMMLLLLLLMMMMMMLLLKKKKKKJJJJJJIIIIIIHHHGGGHHHHHHHHHHHHGGGFFFEEEEEEEEEEEEEEEEEEEEEFFFFFFCCCCCCCCCCCCDDDDDDDDDDDDEEEEEEEEEEEEEEEDDDCCCBBBCCCCCCCCCBBBAAA???>>>===>>>>>>>>>>>>============<<<===>>>>>>>>>>>>===<<<<<<;;;::::::::::::777555777666666666555444444444777777777777777666666666555555444444444444555555222222222111111111000000........................---------...............+++++++++++++++++++++++++++,,,,,,------,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++******))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))*********************************+++++++++,,,,,,+++******))))))******+++*********************************************************+++++++++,,,,,,+++++++++++++++***++++++,,,,,,,,,---------------...............//////000.../////////---...000222...111555888;;;AAAJJJQQQ\\\dddnnntttwww|||~~~zzzwwwsssuuu|||||||||uuucccbbbeeelllrrrxxx|||vvvqqqlllcccWWWLLLCCC@@@???;;;:::999999999999:::;;;<<<<<<======>>>>>>>>>???@@@AAACCCFFFIIILLLOOOPPPRRRTTTWWWYYY[[[]]]aaadddfffiiimmmqqqtttuuuttttttuuuuuuvvvvvvsssrrryyyzzzwwwrrrqqqnnnkkkgggdddaaa```ZZZWWWSSSOOOLLLIIIDDDBBB@@@@@@@@@?????????>>>>>>>>><<<::::::;;;<<<<<<;;;;;;;;;<<<<<<<<<=========???>>>===<<<<<<;;;;;;;;;;;;======<<<<<<>>>CCCHHHKKKTTT]]]bbbeeennn|||~~~lllhhhjjjssssssbbb\\\UUUQQQPPPOOONNNLLLQQQQQQQQQQQQPPPOOOMMMMMMNNNMMMMMMLLLKKKLLLLLLLLLLLLKKKKKKJJJIIIIIIHHHHHHGGGHHHIIIIIIHHHGGGEEEDDDEEEEEEEEEEEEFFFFFFFFFFFFCCCDDDDDDDDDDDDEEEEEEEEEGGGGGGFFFFFFEEECCCBBBAAABBBBBBBBBAAA@@@???>>>===>>>>>>>>>>>>==================>>>>>>>>>>>>======<<<;;;::::::::::::888666999888888888777777777666777777666666666666555555555555444444444555666666333333222222111000000000........................---------------.........,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,---------,,,,,,************************++++++++++++++++++++++++))))))(((((((((((())))))************************))))))))))))))))))))))))*********************************+++++++++,,,,,,******))))))))))))******************************************************************+++++++++++++++,,,---,,,*********+++++++++,,,,,,---------.........------......///000//////000///......///111---000333444444777<<<@@@IIIQQQ]]]fffmmmuuu{{{zzzyyyvvvssslllqqq{{{~~~zzzlllfffcccfffmmmttt}}}}}}|||wwwmmm```TTTLLLIIIAAA@@@>>><<<;;;;;;;;;<<<;;;::::::;;;<<<<<<<<<;;;======>>>???AAABBBDDDEEEEEEGGGIIIJJJKKKMMMQQQSSSWWWZZZ^^^aaadddddddddccccccbbbccccccaaabbbkkkwww}}}zzzyyy|||~~~|||zzztttrrrooommmkkkgggbbb___YYYXXXVVVTTTQQQNNNMMMLLLIIIGGGDDDCCCBBBAAA@@@>>>??????>>>>>>===>>>>>>>>>???===;;;;;;<<<======<<<<<<<<<<<<<<<<<<=========<<<<<<<<<<<<<<<===>>>>>><<<>>>@@@@@@AAAGGGQQQYYYcccmmmxxx|||}}}~~~nnnhhh___iiiwwwpppaaaWWWUUURRROOOLLLKKKLLLMMMNNNNNNOOOOOOOOONNNLLLKKKMMMLLLKKKKKKJJJJJJKKKKKKJJJJJJIIIIIIHHHHHHGGGGGGGGGHHHIIIIIIIIIGGGEEECCCDDDDDDEEEFFFFFFFFFFFFFFFDDDDDDDDDEEEEEEEEEFFFFFFEEEEEEEEEEEEDDDCCCBBBBBB@@@@@@@@@@@@@@@???>>>>>>============>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>><<<:::::::::;;;;;;999777999999888888888888777777666666666555555555444444444333333333444444555666333333222222111000000///........................,,,,,,,,,------.........------------------------***+++,,,,,,---------,,,++++++++++++++++++++++++++++++++++++++++++++++++******))))))))))))******++++++++++++++++++++++++))))))))))))))))))))))))************************(((((()))))))))***************))))))))))))******************************************************************+++++++++++++++---...---***)))***,,,******+++,,,------.........------------...//////...///000///...---...000000222444444222333666999===BBBIIIQQQZZZeeeqqqxxxyyy{{{~~~}}}{{{yyy|||}}}{{{tttjjjcccdddjjjrrrzzzrrrcccXXXRRRIIIGGGDDDBBB???>>>>>>===:::::::::;;;<<<<<<;;;:::;;;;;;;;;;;;;;;<<<===>>>===???@@@AAABBBCCCFFFHHHHHHJJJMMMPPPRRRRRRQQQPPPSSSSSSTTTTTTRRRUUUaaannnuuupppjjjeeedddggglllooommmmmmpppxxx~~~|||zzzyyy{{{}}}}}}yyyyyyyyyxxxuuurrrllllllllljjjhhhfffcccaaa\\\[[[YYYWWWVVVSSSOOOKKKJJJIIIGGGEEECCCBBB@@@??????>>><<<<<<>>>??????>>><<<<<<;;;:::999999999:::>>><<<:::999;;;<<<<<<<<<>>>>>>>>>>>>>>>>>>>>>>>>999999:::;;;===???@@@BBB;;;>>>BBBDDDIIISSSaaakkk|||}}}kkk^^^[[[]]]ooooooaaaVVVTTTTTTSSSOOOKKKJJJLLLOOOKKKKKKLLLMMMMMMLLLKKKJJJLLLLLLKKKJJJJJJJJJJJJJJJIIIIIIHHHHHHGGGFFFFFFEEEGGGHHHIIIJJJIIIGGGEEECCCCCCDDDEEEFFFFFFFFFFFFFFFDDDDDDEEEEEEFFFFFFGGGGGGBBBBBBCCCCCCDDDCCCCCCCCC??????@@@@@@@@@??????>>>============>>>>>>>>>>>>??????>>>>>>>>>>>>??????;;;:::::::::;;;;;;:::888777777777777666666666666666666555555444444444333222222222222333333444555333333222222111000000///........................,,,,,,,,,------.................................***+++,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++************++++++++++++++++++++++++++++++))))))))))))))))))))))))************************''''''''''''((((((((((((******))))))))))))******)))))))))))))))))))))))))))))))))))))))))))))))))))************+++++++++,,,...///...+++)))+++---))))))***+++---...//////...------------...//////---...//////------...//////111222000......222555444444777;;;DDDPPP\\\dddjjjnnnvvv~~~~~~~~~}}}zzzvvvpppmmmnnnrrruuuvvv}}}~~~uuummmhhhccc\\\UUURRRQQQMMMDDD===@@@<<<::::::777444555:::444777:::;;;999999;;;===;;;<<<======>>>>>>>>>>>>BBBBBBCCCDDDEEEEEEFFFGGGEEEDDDDDDEEEHHHNNNSSSWWW\\\ZZZVVVSSSRRRTTTXXXZZZ\\\]]]___aaaccceeefffgggdddcccccccccccceeeggghhhfffeeedddbbb___\\\ZZZXXX]]]\\\[[[YYYVVVTTTQQQPPPNNNMMMKKKHHHFFFDDDCCCCCCBBBBBBBBBAAAAAAAAA@@@@@@>>>===<<<;;;:::;;;;;;<<<;;;;;;<<<=========<<<<<<:::;;;;;;:::999888:::;;;???===;;;:::;;;<<<<<<<<<<<<<<<===@@@CCCDDDDDDDDDBBBIIINNNQQQYYYiiiyyyvvvkkk___[[[]]]hhh{{{ttthhh```YYYSSSOOONNNLLLKKKJJJJJJKKKKKKLLLLLLLLLLLLLLLLLLLLLLLLJJJJJJJJJJJJJJJJJJJJJJJJKKKJJJHHHEEEDDDDDDDDDDDDGGGHHHIIIJJJIIIGGGEEECCCBBBBBBBBBCCCCCCCCCCCCDDDCCCDDDDDDDDDEEEEEEEEEFFFEEEEEEEEEEEEDDDBBBAAA@@@BBBAAA???>>>>>>>>>???@@@????????????????????????????????????????????????<<<;;;999888777777666666:::888777666777666555333999888666555444444555555333222111111000000111111//////000000000000//////---......,,,++++++---///,,,,,,,,,+++++++++******)))***+++,,,,,,,,,,,,,,,,,,,,,,,,++++++*********,,,+++++++++***))))))))),,,,,,,,,++++++*********(((((())))))))))))((((((************************))))))))))))************)))))))))'''%%%%%%&&&((((((+++---+++'''%%%'''+++''''''((())))))))))))))))))************+++++++++)))************+++++++++))))))*********+++++++++))))))))))))))))))))))))++++++******++++++,,,---++++++,,,,,,,,,,,,------..................------////////////////////////222333444888===BBBHHHKKKWWW]]]gggpppwww{{{}}}wwwrrrrrrsssuuuvvvwww}}}zzz}}}}}}zzzsssnnnhhhfffeee___SSSJJJBBB>>>;;;<<<:::777888;;;777:::<<<;;;999888999;;;:::;;;<<<<<<===<<<;;;:::<<<======>>>??????@@@@@@??????>>>???AAAEEEIIIKKKMMMKKKIIIFFFFFFGGGJJJKKKJJJKKKLLLMMMOOOQQQRRRSSSPPPOOOOOOOOOPPPQQQSSSSSSTTTTTTSSSQQQOOOMMMKKKJJJIIIIIIIIIHHHGGGEEEDDDCCCCCCBBB@@@>>>===;;;;;;;;;@@@?????????>>>>>>>>>>>>>>>===<<<;;;:::;;;;;;<<<::::::;;;;;;;;;;;;;;;::::::;;;<<<;;;::::::<<<>>>???>>>>>>>>>@@@AAABBBAAA@@@???@@@BBBFFFJJJNNNOOOQQQYYY```dddmmm}}}|||qqqkkkgggcccdddjjjuuusssbbbZZZTTTOOOJJJLLLKKKJJJHHHHHHHHHHHHIIIKKKKKKKKKKKKKKKKKKKKKKKKIIIIIIIIIIIIIIIIIIIIIIIIIIIHHHFFFEEEDDDCCCCCCCCCEEEFFFGGGGGGGGGEEECCCBBBBBBBBBBBBBBBCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDEEEEEECCCCCCDDDDDDDDDCCCCCCBBBAAA@@@???>>>===>>>>>>???????????????????????????>>>>>>>>>>>>>>>>>>>>>>>><<<;;;999888777777666666999777666666777777555444555444444333333444555666333222111111000000111111//////000000000000//////---------,,,++++++---///------,,,,,,,,,+++++++++******+++,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++++++++***************,,,,,,,,,++++++*********((())))))******))))))(((************************))))))))))))************''')))******))))))***+++(((***++++++)))((()))+++))))))***+++++++++++++++))))))*********+++++++++))))))*********+++++++++******************++++++++++++++++++++++++++++++******))))))******+++,,,+++++++++,,,,,,,,,------------...............---////////////////////////000000000000222555888:::CCCHHHPPPYYYaaaiiipppttt|||wwwrrroooooooooooopppuuuzzz~~~~~~}}}}}}}}}{{{xxxwww{{{xxxiii]]]JJJDDD???>>>===::::::<<<999::::::999666555555666999:::;;;<<<<<<;;;999888888888888999999::::::;;;:::::::::;;;<<<===>>>???CCCBBBAAA??????@@@AAABBB??????@@@AAABBBCCCDDDDDDBBBBBBBBBBBBBBBCCCDDDEEEGGGFFFFFFEEEDDDBBBAAA@@@======>>>>>>>>>>>>>>>===>>>>>><<<;;;:::999999999<<<<<<<<<<<<;;;;;;;;;;;;======<<<;;;;;;;;;;;;<<<;;;;;;;;;;;;;;;;;;;;;;;;888999::::::999999;;;===<<<===>>>@@@AAACCCDDDEEEFFFFFFHHHLLLRRR[[[bbbgggkkkssszzz~~~zzzrrrlllggggggiiimmmttt{{{zzzooo___TTTPPPNNNKKKIIIIIIHHHGGGEEEEEEEEEEEEFFFJJJJJJJJJJJJJJJJJJJJJJJJHHHHHHHHHHHHHHHHHHHHHHHHGGGFFFFFFEEEDDDCCCCCCBBBCCCDDDDDDEEEDDDBBBAAA@@@AAAAAAAAABBBBBBBBBCCCCCCDDDDDDDDDDDDDDDDDDCCCCCCAAABBBCCCCCCDDDDDDCCCCCC??????>>>===============>>>??????????????????>>><<<<<<<<<<<<<<<<<<<<<<<<<<<;;;999888777777666666777666555555666777666444222222222222333444555666222222111000000000000111...//////000000//////...,,,------,,,++++++---...---------,,,,,,,,,,,,+++***++++++,,,,,,,,,,,,,,,++++++++++++++++++,,,,,,***************++++++++++++++++++++++++*********)))******************)))************************))))))))))))************''')))++++++++++++,,,------+++))))))***+++******))))))***+++++++++++++++)))))))))*********++++++)))))))))*********++++++++++++******************++++++++++++++++++++++++))))))(((((())))))***+++++++++++++++,,,,,,,,,,,,+++,,,---...............////////////////////////222111000//////000111222777:::???EEELLLUUU^^^eeegggllluuu}}}~~~||||||}}}~~~wwwqqqnnnllllllkkknnnmmmlllkkkiiihhhggghhhpppoooqqqtttuuuvvv{{{~~~qqqZZZOOODDD@@@>>><<<;;;===<<<;;;:::999777555555555777888:::<<<<<<;;;999888888888888888888888888999888888999:::;;;;;;;;;;;;>>>>>>>>>===============>>>>>>>>>????????????@@@???????????????@@@AAAAAA???@@@@@@@@@??????>>>===<<<<<<===>>>>>>>>>>>>>>>======<<<<<<;;;;;;<<<<<<:::::::::::::::::::::999<<<<<<<<<<<<;;;;;;<<<<<<===<<<<<<<<<<<<<<<<<<<<<:::;;;<<<;;;::::::<<<>>>===>>>AAACCCFFFIIIMMMPPPRRRUUUZZZaaaiiisss}}}|||pppiiifffjjjjjjlllpppvvv|||yyyfff^^^TTTNNNLLLMMMLLLJJJHHHGGGEEEDDDCCCCCCDDDDDDHHHHHHHHHHHHHHHHHHHHHHHHGGGGGGGGGGGGGGGGGGGGGGGGEEEFFFFFFFFFEEEDDDCCCCCCCCCCCCCCCCCCBBBAAA@@@???@@@AAAAAAAAABBBBBBBBBBBBDDDDDDDDDCCCCCCCCCBBBBBBAAABBBBBBCCCCCCCCCBBBBBB>>>>>>======<<<<<<<<<<<<>>>>>>???@@@@@@???>>>>>>;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;999888777666666666666444444444666777666555222222222222333333444444222222111000000000000000...//////////////////...+++---------++++++,,,---,,,,,,,,,+++++++++++++++++++++,,,,,,---,,,,,,+++*********++++++,,,,,,,,,)))))))))***+++++++++,,,+++++++++*********************++++++++++++******************************((()))))))))*********************)))((())),,,///888222***''')))+++***(((''''''((()))))))))))))))))))))))))))************))))))))))))************+++++++++***************)))))))))))))))))))))))))))))))))))))))***++++++***++++++++++++,,,,,,,,,***+++,,,---.../////////........................111111111111111222333444555666888;;;???EEELLLQQQXXX^^^gggpppwww{{{zzzuuurrrqqqpppppppppmmmhhhccc___\\\[[[ZZZ\\\___gggooosssvvv}}}lll]]]MMMFFFDDDBBB@@@AAA@@@>>><<<::::::999999888444555888999::::::999888888888888888888888777777666777888:::;;;;;;;;;;;;888999999999999999999999;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<::::::;;;;;;;;;;;;;;;::::::;;;;;;<<<<<<;;;;;;:::::::::999999999999::::::::::::::::::::::::::::::;;;;;;<<<<<<<<<<<<<<<<<<;;;;;;::::::;;;;;;<<<===>>>?????????===>>>???AAAAAADDDIIIOOOTTT\\\eeekkkkkkooovvv}}}sssiiicccbbbbbbhhhooowwwtttfffWWWRRRLLLHHHHHHIIIHHHGGGGGGFFFEEECCCBBBCCCCCCDDDEEEEEEEEEEEEEEEEEEEEEEEEFFFFFFFFFFFFFFFFFFFFFFFFDDDFFFGGGHHHHHHFFFEEEDDDCCCCCCCCCCCCBBBAAA@@@@@@@@@@@@@@@@@@AAAAAAAAABBBCCCCCCCCCBBBBBBBBBBBBBBBCCCCCCCCCCCCBBBAAA@@@???============<<<<<<;;;;;;===>>>???@@@@@@???>>>===<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;999888777666666666555444333444555666555444444444444444333333222222222111000000//////000000......////////////......+++,,,------+++++++++---*********+++++++++++++++,,,,,,---------,,,,,,+++*********++++++,,,,,,,,,)))))))))***+++++++++,,,******************************++++++++++++******))))))))))))))))))))))))((()))))))))************+++***(((''''''+++222777BBB888,,,&&&'''))))))(((''''''((()))))))))))))))(((((()))))))))*********(((((()))))))))*********************************))))))))))))))))))))))))+++************+++,,,,,,*********+++++++++,,,,,,***+++,,,---............------------------------------......///000111111000111333444555888;;;>>>HHHNNNWWW```fffkkknnnppppppttt{{{|||wwwuuuuuutttsssuuurrrlllgggccc___[[[XXXUUUYYYbbbjjjnnnrrr{{{zzziiiXXXRRRRRRPPPNNNMMMCCCAAA===;;;;;;;;;:::999666666777888999999999999999999888888777777666666444555666888::::::;;;;;;888888888999999999999999::::::::::::999999999999::::::;;;<<<<<<;;;;;;:::999:::;;;;;;<<<<<<;;;;;;:::::::::::::::999999888::::::999999999::::::;;;::::::::::::;;;;;;;;;;;;:::;;;<<<<<<===<<<<<<<<<999888888888999;;;===>>>===>>>???@@@???@@@CCCEEEGGGNNNYYYcccllluuu|||uuullleeeccceeeggghhhmmmxxxppp```XXXPPPMMMJJJHHHHHHHHHGGGFFFGGGFFFDDDCCCBBBBBBCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDCCCEEEGGGIIIIIIHHHFFFDDDDDDCCCCCCBBBAAAAAA@@@@@@??????@@@@@@@@@AAAAAAAAAAAAAAAAAABBBBBBBBBCCCCCCCCCCCCCCCBBBAAA@@@>>>============>>>===<<<<<<;;;<<<===???@@@@@@???===<<<========================<<<;;;999888777777666666555444333333444555444222444444444444333222111000111111000////////////000---......//////......---***+++------,,,++++++,,,******++++++++++++,,,,,,---------------,,,,,,+++++++++++++++++++++,,,,,,***************+++++++++)))))))))***************)))******************)))))))))))))))))))))))))))))))))))))))************(((((('''''')))000888>>>AAA888---''''''))))))((())))))***+++++++++++++++((((((((()))))))))******((((((((()))))))))******))))))*********++++++++++++++++++++++++++++++++++++++++++***+++,,,,,,---************++++++++++++***+++,,,---------------------------------------........................---///111222333333555777777===DDDLLLRRRWWW\\\___^^^bbbjjjsss}}}~~~~~~yyyuuusssssswww|||zzzzzzyyyxxxzzzwwwtttrrroookkkeee```\\\]]]aaaeeegggkkkwwwqqqdddcccgggfffaaa]]]RRRNNNIIIFFFEEEDDDBBB@@@@@@???>>>===<<<<<<======;;;::::::999888888777777666666666777888999:::::::::999999999999:::;;;<<<999999::::::::::::::::::;;;<<<<<<======<<<;;;;;;;;;;;;<<<=========<<<<<<::::::;;;;;;;;;;;;::::::<<<<<<;;;;;;;;;;;;<<<<<<::::::::::::;;;;;;;;;<<<::::::<<<=========<<<<<<999999888999;;;===@@@BBBBBBDDDGGGIIIKKKMMMQQQTTT\\\gggvvv}}}vvvlllkkkkkkoootttyyy{{{{{{tttgggZZZQQQOOOLLLKKKJJJJJJIIIIIIGGGFFFEEEDDDCCCAAAAAAAAAAAABBBDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCAAACCCFFFIIIIIIHHHEEECCCCCCCCCBBBAAA@@@@@@@@@@@@????????????@@@@@@@@@@@@??????@@@AAABBBCCCCCCDDDAAAAAAAAAAAAAAA@@@???>>>======>>>>>>>>>===<<<;;;;;;===???@@@@@@???===;;;========================<<<;;;999888777777666666666444333333444444222111111222222333333222111000111111000///////////////---......//////......---)))+++------,,,+++++++++,,,,,,,,,------.........------......---,,,,,,+++,,,,,,+++++++++++++++++++++++++++***************((()))))))))*********+++((())))))******))))))((())))))))))))))))))))))))))))))))))))************%%%&&&'''((()))...333777444///***((()))******)))))))))***+++++++++++++++(((((((((((()))))))))***(((((((((((()))))))))***(((((()))***+++,,,,,,---++++++++++++++++++++++++***************++++++,,,************+++++++++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,//////000000//////.........000111111000111333555000333777<<<@@@EEEJJJNNNJJJPPPYYYcccnnnyyy}}}}}}}}}tttpppooopppqqqwww|||zzzzzzzzzyyyuuunnnhhheeeccccccbbbaaaeeessstttkkkooowwwvvvooojjjgggbbb\\\XXXVVVUUURRROOOKKKIIIFFFCCCAAAAAABBBBBB>>>>>>===<<<;;;:::999999999999888888888999::::::777777666555666777999:::777777777777888888888888999:::;;;<<<<<<;;;999999888888999:::::::::999999777777888999::::::::::::;;;::::::999999999999999999999::::::;;;;;;;;;;;;999:::<<<=========<<<<<<<<<<<<<<<<<>>????????????@@@@@@@@@>>>>>>???@@@BBBCCCDDDDDD??????@@@AAAAAAAAAAAA@@@===>>>?????????>>><<<;;;;;;<<>>BBB;;;BBBLLLWWWbbbkkktttyyy{{{yyy{{{}}}vvvsssuuuxxx}}}xxxvvvyyy}}}~~~zzzwwwwww{{{}}}}}}}}}}}}~~~~~~|||yyyvvvkkkmmmjjjcccaaahhhooosss~~~}}}wwwsssuuu}}}vvvuuusssrrrsssrrrpppmmmkkkddd^^^YYYQQQIIIFFFGGGCCCAAA>>>===>>>???>>>>>>::::::::::::999999888888888999999:::;;;<<<===>>>999888666777888999999888<<<<<<=========<<<;;;;;;;;;<<<<<<;;;:::999:::;;;<<<:::999999:::<<<<<<;;;;;;<<<;;;:::888888:::<<<888999;;;<<<===<<<;;;;;;<<<;;;===@@@???===???CCCBBBAAAAAACCCGGGLLLOOOQQQ\\\cccmmmsssvvv{{{vvvppplllfffhhhppp}}}rrrhhhZZZPPPLLLJJJGGGEEEEEEFFFFFFFFFFFFDDDBBBAAA??????@@@@@@@@@@@@??????GGGGGGFFFFFFEEEEEEDDDDDDCCCDDDDDDDDDCCCBBBAAA@@@QQQIIICCCDDDFFFDDDAAAAAACCCBBBAAA@@@@@@@@@AAABBB???????????????@@@@@@AAAAAAAAA@@@@@@???@@@@@@AAAAAAAAA???>>>>>>>>>???@@@AAA???>>>===>>>===<<<:::;;;<<<===>>>>>><<<:::999??????>>><<<;;;888777555;;;:::888666666666666777777666555444333222222222111111111111111111111111000000///...............///............---------------,,,,,,,,,,,,++++++,,,,,,,,,++++++*********,,,,,,,,,---------......+++++++++************)))***************************************)))((((((******+++++++++******)))+++***)))(((((()))***+++******************************))))))((((((''''''&&&&&&'''((((((((((((((())))))))))))))))))))))))************))))))))))))(((((((((((((((((((((((((((((())))))))))))(((((())))))*********))))))(((...---+++*********++++++++++++,,,,,,,,,++++++***++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,---...//////,,,,,,,,,---------......////////////000111222333666999???FFFOOOWWW^^^bbbdddfffhhhkkkooouuu{{{}}}{{{|||}}}}}}uuuwwwzzz~~~|||vvv}}}{{{wwwyyyuuummmgggiiinnnoooxxx{{{yyyxxxyyy}}}zzzqqqdddUUUKKKHHHBBB@@@>>>>>>???@@@@@@???:::::::::::::::::::::;;;999:::;;;<<<<<<;;;:::999:::888777777999;;;;;;:::<<<<<<<<<<<<<<<<<<;;;;;;<<<===>>>======<<<<<<<<<>>>>>>===>>>??????>>>===;;;<<<<<<;;;999999:::<<<::::::;;;;;;;;;;;;;;;;;;======???DDDEEEDDDGGGLLLHHHIIIJJJNNNTTTZZZ___aaannnvvvwwwmmmmmmnnnlllrrr|||xxxooo```XXXNNNHHHGGGHHHGGGEEEEEEEEEFFFEEEDDDCCCAAA@@@????????????@@@BBBCCCEEEFFFEEEEEEEEEDDDDDDCCCCCCDDDCCCBBBAAAAAACCCEEEFFFSSSJJJBBBBBBDDDCCCCCCDDDCCCBBBAAA@@@???@@@@@@AAA>>>>>>>>>>>>>>>???@@@@@@AAAAAA@@@@@@@@@@@@AAAAAAAAA@@@???>>>>>>>>>??????@@@>>>============;;;:::;;;;;;<<<===<<<;;;:::999888999:::;;;;;;<<<<<<;;;:::999888666666666666777777777666555444333333444111111111111111111111111000000///...........................------------------,,,,,,,,,,,,++++++,,,,,,,,,+++++++++******------........./////////+++++++++************)))***************************************)))(((((()))******+++++++++******+++***)))(((((())))))******************************)))))))))((((((((('''&&&'''((())))))))))))((())))))))))))))))))))))))(((((()))))))))*********))))))))))))))))))))))))))))))************))))))))))))*********))))))(((+++***)))((((((((())))))***++++++,,,,,,++++++***++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,---.........,,,,,,,,,------------...///////////////000222222555777999<<<@@@EEEHHHJJJNNNQQQUUUYYY^^^eeemmmsss~~~yyy{{{yyyrrrkkkddd___xxxqqqoooooonnnrrrrrrssswww}}}}}}tttyyy|||eeeTTTMMMEEECCCAAAAAABBBCCCBBBAAA============>>>???@@@AAA???@@@AAABBBAAA???<<<:::===;;;::::::<<<=========<<<<<<<<<<<<<<<<<<============>>>>>>======<<<;;;<<<===>>>??????>>>===<<<<<<===>>>===;;;:::;;;<<<<<<<<<<<<===>>>???@@@@@@DDDEEEIIIPPPRRRRRRUUUZZZWWWZZZ^^^cccjjjqqqwwwzzz~~~qqqlllkkkppptttwwwooo___VVVPPPKKKEEEBBBDDDEEEEEEDDDDDDDDDDDDCCCBBBAAA@@@???BBBAAA?????????AAADDDEEECCCCCCCCCCCCBBBBBBBBBBBBDDDBBB???>>>@@@DDDIIIMMMPPPGGG@@@???@@@@@@AAADDDAAAAAA@@@????????????@@@===============>>>??????AAAAAA@@@@@@@@@@@@AAAAAA@@@@@@???>>>>>>>>>>>>>>>>>>===;;;;;;<<<<<<;;;999;;;;;;;;;:::::::::999999555666888:::;;;<<<======999999888777666666666666888777666555444444444555111111111111111111111111000000///...........................------------------,,,,,,,,,,,,++++++,,,,,,,,,++++++++++++***,,,,,,---------.........+++++++++************)))***************************************)))(((((((((((()))***+++++++++++++++***)))(((((((((((()))))))))))))))))))))))))))))))))))))))(((((((((((((((((())))))******))))))))))))))))))))))))))))))&&&''''''(((***++++++,,,************************)))******++++++******)))((())))))******)))))))))******)))((((((((())))))******+++++++++++++++***++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,,,,------------......---......///000111888888888888888888999::::::<<<@@@DDDIIIPPPWWW\\\kkkrrrzzz{{{sssggg\\\VVVPPPKKKGGG}}}yyywwwtttrrrnnnjjjkkkpppuuuxxxyyy{{{uuu}}}uuu```WWWMMMLLLJJJIIIIIIIIIHHHFFFCCCCCCDDDDDDFFFGGGIIIJJJIIIIIIIIIIIIHHHGGGFFFEEEFFFDDDAAA@@@AAABBBBBBAAA@@@@@@AAAAAABBBBBBCCCCCCEEEDDDCCCBBBAAA@@@===<<<;;;===@@@AAAAAA?????????AAABBBCCCBBB@@@>>>>>>???AAAAAABBBDDDGGGKKKOOOQQQSSSVVV]]]eeehhhggggggkkklllooouuu{{{vvvooorrrssswww}}}xxxiii[[[PPPJJJJJJGGGDDDBBBCCCCCCBBBAAABBBBBBBBBAAA@@@??????>>>BBBAAA@@@????????????@@@@@@@@@@@@AAAAAAAAAAAAAAABBB@@@>>>>>>AAAFFFKKKOOOHHHBBB======>>>======???@@@@@@@@@???????????????<<<<<<<<<<<<<<<===>>>>>>??????>>>>>>??????@@@@@@??????>>>>>>============<<<;;;::::::<<<<<<;;;999;;;:::999999888888999999777888999999:::999999999888888777777666666666666666666555444444444444444111111111111111111111111000000///........................---------,,,,,,------,,,,,,,,,+++++++++++++++++++++++++++++++++))))))*********++++++++++++++++++*********))))))***************************************)))(((((('''''')))***+++++++++++++++***))))))((((((''''''(((((((((((((((((((((((())))))))))))(((((((((((())))))************))))))))))))))))))))))))))))))''''''(((((()))******+++))))))))))))))))))))))))))))))************))))))'''((())))))))))))))))))+++++++++************+++)))******++++++++++++***************************++++++++++++++++++++++++------,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------------------...///000000777777666666666666777777333555777999;;;>>>CCCGGGSSSYYYbbbiiimmmqqqwww{{{{{{wwwsssnnnlll^^^WWWNNNGGGCCC@@@>>>===}}}wwwqqqkkkggghhhhhhgggfffnnntttxxxxxxyyy}}}~~~zzzooofff^^^\\\YYYXXXWWWVVVSSSQQQMMMNNNPPPQQQSSSUUUVVVVVVWWWUUUSSSQQQQQQSSSVVVXXXWWWTTTOOOMMMLLLMMMLLLKKKLLLMMMNNNOOOPPPQQQPPPPPPSSSPPPLLLJJJIIIGGGDDDAAABBBEEEGGGHHHHHHHHHJJJMMMOOOPPPPPPNNNKKKIIIIIIJJJMMMNNNQQQUUU[[[aaafffiiihhhlllvvv}}}zzz|||yyyyyy}}}}}}vvvnnnkkkoootttqqq___SSSMMMIIIHHHFFFEEECCCBBBBBBBBBAAA@@@@@@@@@@@@???????????????>>>>>>???@@@???>>>===<<<>>>>>>??????@@@@@@@@@AAA>>>>>>???AAADDDGGGJJJKKKBBB>>>>>>@@@@@@===;;;<<<@@@@@@@@@@@@??????>>>>>><<<<<<<<<<<<<<<======>>>===============>>>??????>>>>>>>>>>>>======<<<<<<;;;:::999:::;;;<<<;;;:::;;;:::999888888888888999999999999999888777666666777777777777666666666555444444333333222222333333111111111111111111111111000000///..................------------,,,,,,,,,------,,,,,,,,,+++++++++++++++++++++++++++++++++)))))))))*********+++++++++++++++*********))))))***************************************)))((((((&&&'''((()))***+++++++++))))))))))))((((((''''''''''''''''''''''''''''''(((((((((((())))))))))))))))))************))))))(((((((((((((((((((((((()))(((((((((((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''''''''((()))))))))))))))************+++*********((()))******++++++++++++************************++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,+++++++++++++++,,,,,,,,,------,,,,,,,,,,,,---...///000222111111111222333444444111333444444444555888:::???EEEMMMRRRUUUXXX]]]aaakkkmmmpppsssuuuvvvzzz}}}}}}zzzqqqmmmgggbbb]]]XXXSSSPPPIIIEEE???:::888888888999~~~{{{uuupppkkkfffbbb^^^]]]ccciiikkkpppxxx|||}}}|||}}}vvvqqqpppnnnmmmllljjjfffddd___aaadddgggiiiiiiiiihhhgggeeeaaa___```dddiiimmmllliiidddaaa`````````______aaaeeehhhiiihhhgggfffaaa[[[UUURRRQQQPPPMMMKKKMMMOOOQQQQQQQQQUUU\\\aaaiiihhhfffccc___]]]]]]^^^bbbdddhhhmmmsssyyy~~~nnnfffeeeeeegggjjjfffgggeeebbbbbbjjjyyyqqq]]]MMMEEECCCDDDDDD@@@@@@?????????@@@@@@AAA>>>>>>>>>>>>???@@@AAAAAA>>>>>>???@@@@@@@@@??????<<<======>>>???@@@AAAAAA===???AAACCCEEEFFFFFFFFFAAA???AAAEEEDDD@@@===>>>@@@@@@AAAAAA@@@@@@???>>><<<<<<<<<<<<<<<===>>>>>><<<<<<<<<<<<===>>>???@@@===============<<<;;;;;;;;;999999:::<<<===<<<;;;:::::::::999999999888888666666777777888777777666555666666777777666666555333333222222222222222333111111111111111111111111000000///...............------------,,,,,,,,,,,,------,,,,,,,,,,,,++++++***++++++++++++,,,,,,,,,++++++,,,,,,,,,---------+++++++++************)))***************************************)))((((((''''''((()))************'''(((((())))))(((((('''(((((((((((((((((((((((((((((((((((())))))))))))))))))******))))))(((((((((((((((((((((((((((((()))))))))(((((('''''''''''''''''''''''''''''''''&&&''''''((((((''''''&&&&&&&&&'''((())))))))))))&&&'''((()))))))))(((((((((((()))***++++++++++++************************++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,------,,,------...///000222111111000111111111222...///000000000111333555444999>>>AAABBBDDDGGGKKKPPPPPPUUU\\\```dddiiipppwwwxxxyyyxxxvvvwww||||||tttooollliiieeebbbXXXTTTOOOJJJFFFBBB>>>;;;>>><<<888555333222333333xxxpppiiifff___ccceeefffjjjqqqsssqqqttt{{{}}}zzzxxx{{{zzzxxxvvvtttvvvyyy}}}}}}yyyvvvvvvwwwxxxxxxvvvyyy~~~}}}uuunnnfffccccccdddcccbbb```aaabbbaaacccjjjuuu~~~{{{vvvtttuuuwww|||~~~rrrggg\\\YYYYYYXXXXXXZZZZZZZZZ[[[aaalll|||vvvlll```PPPDDD??????@@@@@@>>>>>>>>>=========???@@@============???AAACCCDDDJJJHHHDDDAAA??????@@@AAA<<<<<<===>>>???@@@AAAAAA@@@@@@AAABBBCCCBBBBBBBBBAAA@@@BBBEEEDDD@@@???AAA@@@AAABBBBBBBBBAAA??????======<<<<<<======>>>???=========>>>>>>@@@AAAAAA<<<<<<=========<<<;;;::::::999999:::===>>>===<<<999:::;;;;;;;;;:::888888555555666777777777666666444555666777777666555555333333333222222333333444111111111111111111111111000000///...............---------,,,,,,,,,++++++------,,,,,,,,,,,,++++++******+++++++++,,,,,,,,,,,,,,,,,,,,,---------...+++++++++************)))***************************************)))(((((((((((()))))))))))))))(((%%%&&&'''))))))))))))((((((((((((((((((((((((((('''((((((((()))))))))***((())))))))))))((('''&&&(((((((((((((((((((((((('''''''''(((((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''%%%&&&'''((())))))))))))%%%&&&((()))))))))(((((('''((()))***++++++++++++*********************************************************+++,,,,,,,,,---***++++++++++++,,,,,,,,,------------...///000111222222111000000000111111,,,...////////////111222111444888999888888;;;===>>>===AAAHHHLLLNNNTTT[[[^^^bbbeeefffeeefffkkkpppvvv}}}~~~|||wwwrrrnnnmmmfffaaaZZZVVVTTTQQQLLLHHHCCC@@@===;;;:::888666444777777555444222111111222zzzssspppkkkllljjjggghhhkkkiiieeeiiiqqq}}}|||xxxzzz}}}~~~}}}vvvvvvvvvuuuwwwoooeee]]]VVVRRRSSSVVVVVVWWWYYY\\\ZZZ\\\iii|||pppbbb^^^TTTHHH@@@???@@@???>>>AAAAAA@@@>>><<<;;;===>>><<<<<<<<<===???BBBDDDFFFYYYTTTKKKCCC>>>===>>>@@@;;;<<<===>>>???@@@AAABBBCCCBBBBBBAAA@@@@@@@@@@@@BBB???@@@BBBAAA>>>???CCCAAAAAABBBCCCBBBAAA@@@???===============>>>??????????????????@@@AAABBBCCC;;;<<<=========<<<::::::;;;:::999;;;===>>>>>>===999:::<<<<<<<<<;;;999777666777777777666555444444444555666777777666555555444444333333333444444555111111111111111111111111000000///...............---------,,,,,,,,,++++++---------,,,,,,,,,++++++*********++++++,,,,,,,,,******+++++++++,,,,,,,,,+++++++++************)))***************************************)))((((((((()))))))))))))))((('''$$$%%%''')))******))))))))))))))))))))))))))))))'''((((((((())))))******(((((()))(((((('''&&&&&&((((((((((((((((((((((((%%%&&&&&&'''((()))******))))))))))))))))))))))))(((((())))))))))))((((((%%%&&&'''((())))))))))))'''((()))+++++++++***)))'''''')))******+++++++++))))))))))))))))))))))))************************))))))***+++,,,,,,------******+++++++++,,,,,,,,,......---......///000111------,,,,,,---......//////000111000///...///000000444666777555444666888999666888===???>>>BBBIIIGGGMMMSSSVVVWWWXXX]]]bbblllrrrxxxzzz||||||uuunnnpppxxxyyyvvvppphhhaaa\\\YYYXXXOOOKKKEEEBBBAAA>>>:::666999777666555777777777666222333444444333333333444~~~zzzzzzzzz|||xxxoookkkkkkhhhbbbbbbiiiqqqvvvxxx{{{xxxnnneee___XXXUUUUUUYYY]]]```ffflllkkktttzzz~~~ttt___UUUVVVPPPJJJBBB===<<<===<<<<<<@@@??????>>>===<<<<<<;;;AAA===???CCC@@@<<>>===>>>>>>???@@@BBBBBBBBBBBBBBBBBBBBBBBBBBBBBB@@@BBBCCCEEEEEEDDDBBBAAA@@@AAABBBBBBCCCCCCBBBBBB??????>>>>>>>>>>>>?????????@@@BBBCCCCCCBBB@@@???=========<<<;;;;;;::::::999:::;;;<<<<<<;;;:::999?????????===<<<:::888777333444555666666555444444555555555555555555555555555555444333333222111111000000000000000000000000////////////............---,,,,,,++++++,,,,,,---,,,++++++******++++++,,,***++++++,,,,,,------...---,,,,,,++++++,,,,,,---,,,,,,,,,+++++++++******+++++++++*********))))))))))))))))))))))))))))))***)))(((''''''((()))***((()))+++***(((''''''(((******))))))))))))******...+++'''$$$###$$$''')))((((((((((((((((((((((((((((((((((((((('''''''''))))))))))))))))))))))))&&&&&&&&&'''''')))******''''''''''''''''''''''''))))))(((((('''''''''&&&(((((('''''''''&&&&&&&&&&&&'''(((************)))))))))************))))))************************)))************+++++++++******+++++++++,,,,,,,,,/////////......------------------...///000000111............////////////////////////////////////222222222333444555666777:::<<<>>>AAADDDGGGIIIJJJWWWZZZ^^^bbbddddddbbbaaa___ccchhhooouuuyyy|||}}}xxxxxxzzz}}}xxxnnnfff^^^ZZZSSSMMMIIIFFFCCCAAA;;;;;;999888777777777777444444444333333222222222111111111111111111111111uuuvvvzzz{{{|||~~~yyysssqqqmmmgggfffjjjnnnpppoooooorrruuu|||wwwnnniiifffcccbbb___```eeeiiimmmsssyyyzzzoooaaaPPPHHHIIIHHHCCC>>>;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<>>???<<<;;;<<<999=========>>>???AAABBBCCCBBBBBBBBBBBBBBBBBBBBBBBBAAABBBDDDEEEEEEDDDCCCBBB@@@AAAAAABBBBBBBBBBBBBBB??????>>>>>>>>>>>>?????????@@@BBBCCCCCCBBBAAA@@@>>>>>>===<<<<<<;;;;;;:::;;;;;;<<<======<<<;;;;;;???>>>>>>===;;;:::888777444555777888888777666555555555555555555555555555555444444333222222111111000000000000000000000000////////////............---,,,,,,++++++,,,,,,---,,,++++++******++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,---,,,,,,+++++++++*********------,,,+++***)))((('''))))))))))))))))))))))))***)))(((''''''((()))***((()))+++***(((''''''((())))))(((((((((((())))))333000,,,)))'''''')))+++((((((((((((((((((((((((((((((((((((((((((((('''((((((((((((((((((((((((&&&&&&&&&''''''((()))***'''''''''''''''''''''''')))(((((((((''''''''''''(((((('''''''''&&&&&&&&&%%%&&&'''))))))))))))((())))))************))))))************************)))************+++++++++*********+++++++++,,,,,,)))))))))(((((('''''''''.........///000111111111............////////////////////////////////////111111111111222222333444555666777999;;;<<<>>>???CCCEEEIIILLLNNNNNNMMMLLLNNNPPPUUUZZZ^^^```bbbbbb___```cccfffjjjnnnqqqssstttuuuuuuwww|||wwwqqqiiiddd```[[[TTTNNNIIIEEE@@@<<<:::888666444666666555444333222222333333333222222111111111111111111111111111111111111kkkrrr{{{zzzuuuvvvxxx|||{{{yyyuuupppoooooonnnkkkgggddddddeeeiiirrr{{{}}}zzzvvvuuurrrnnnjjjiiijjjlllqqqvvvxxxtttqqqtttwwwwwwrrrooopppvvv{{{qqq___UUUMMMBBB>>>???===;;;999888:::;;;;;;;;;888888999:::;;;<<<<<<===???;;;;;;>>>???@@@LLL[[[^^^GGG===>>>;;;;;;>>>:::<<<<<<===???@@@BBBCCCDDDBBBBBBBBBBBBBBBBBBBBBBBBCCCDDDEEEEEEEEEEEECCCBBBAAAAAAAAAAAABBBBBBBBBBBB??????>>>>>>>>>>>>??????AAAAAACCCCCCCCCBBBAAA@@@>>>>>>>>>===<<<<<<;;;;;;;;;<<<<<<======<<<<<<;;;======<<<;;;999888777777555777999;;;;;;999777555444444444444444444444444444444333333222222111111000000000000000000000000////////////............---,,,,,,++++++,,,,,,---,,,++++++******++++++,,,......---,,,,,,+++******,,,,,,++++++++++++,,,,,,,,,++++++++++++*********,,,,,,++++++***)))))))))(((((((((((((((((((((((())))))(((((((((((())))))''')))******(((''''''(((((((((''''''''''''((((((222///+++(((&&&&&&''''''((((((((((((((((((((((((''''''((((((((((((((((((((((((((((((((((((((((((''''''&&&''''''((()))***''''''''''''''''''''''''((((((((((((''''''''''''(((((((((''''''''''''&&&&&&'''((()))*********)))))))))************)))))))))))))))))))))))))))))))))************+++++++++*********++++++++++++,,,************))))))))))))......//////000111111111---............/////////////////////////////////000000////////////000000111111111222222333333444666777999;;;===>>>>>>>>>===>>>AAACCCEEEFFFFFFFFFGGGGGGIIIKKKNNNQQQTTTUUUXXXXXXXXXZZZ```kkkxxx{{{uuuoooiiiccc___YYYSSSKKKFFFDDDBBB>>>;;;:::888555333333333222111333222111000////////////111111111000000000000000000000000000000000000000iiirrr}}}{{{vvvttttttvvvyyy|||~~~{{{zzz|||xxxuuupppjjjfffbbb```______eeeoooxxx|||xxxooogggnnnooossswwwvvvvvv{{{~~~uuujjjaaa```aaaaaa___^^^```eeeiiirrrzzz|||gggXXXJJJEEECCC???===>>>777777777888999::::::999888888999999:::;;;<<<<<>>>>>???>>>===EEEOOOTTTBBB<<<>>>:::<<>>???AAABBBCCCDDDAAAAAABBBBBBBBBBBBBBBBBBDDDEEEEEEFFFEEEEEEDDDCCCAAAAAAAAAAAAAAABBBBBBBBB@@@??????>>>>>>??????@@@BBBBBBCCCCCCCCCBBBAAAAAA???>>>>>>======<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::999888777777666666666666777:::;;;;;;999666444444444444444444444444444333333333333222222111111000000000000000000000000////////////............---,,,,,,++++++,,,,,,---,,,++++++******++++++,,,---------,,,,,,+++++++++,,,,,,++++++++++++,,,,,,++++++++++++************))))))*********+++++++++(((((((((((((((((((((((())))))(((((((((((())))))''')))******((('''((())))))((((((''''''(((((()))---+++)))&&&%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((('''''''''''''''((())))))''''''''''''''''''''''''((((((((((((((('''''''''((((((((('''''''''''''''(((((()))***+++++++++,,,))))))************))))))(((((((((((((((((((((((())))))*********+++++++++************++++++++++++------------------------............//////000000---------.........//////........................000///...............///000000000000111111111111444444444555666888999:::555666777999999999999999<<<<<<<<<<<<<<<===>>>???AAAAAAAAACCCIIISSS^^^fffhhhfffcccbbbbbbeeeiiikkklllkkkiiigggeeecccbbbaaa```]]]XXXSSSOOOKKKGGGFFFEEEAAA===:::999888666444777555333333444444444333222222111000000///000000000000000000000000000000000000000000000000000000llluuu}}}~~~xxxqqqooooooppptttzzz~~~zzzyyy}}}xxxqqqmmmkkkiiifffdddbbbeeeiiilllkkkfff___ZZZ]]]]]]aaafffiiikkkrrrzzzzzzlllddd___ZZZVVVQQQUUUZZZ\\\___dddmmmttt{{{yyyiii^^^QQQHHH@@@??????>>><<<;;;666777999999999888777777999999999::::::;;;;;;;;;>>>>>>???@@@>>><<<>>>CCCJJJ===;;;>>>:::===@@@<<<<<<===???@@@BBBCCCCCCCCCAAAAAAAAABBBBBBBBBCCCCCCEEEEEEEEEEEEEEEDDDCCCCCCAAA@@@@@@@@@@@@AAABBBCCC@@@@@@????????????@@@@@@CCCCCCCCCBBBBBBAAAAAA@@@>>>>>>>>>===<<<<<<;;;;;;999999999999999999999999777777555444444444444555555777999:::999777555333444444444444444444444444333222222222222222111111////////////////////////////////////............---,,,,,,++++++,,,,,,---,,,++++++******++++++,,,+++++++++,,,,,,---------,,,++++++******++++++,,,+++++++++*********))))))************************(((((((((((((((((((((((((((((())))))))))))(((((('''(((******((((((((()))***))))))(((((())))))*********))))))))))))******&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((())))))''''''''''''''''''''''''(((''''''''''''(((((()))'''''''''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((('''((((((((()))******+++))))))************))))))(((((((((((((((((((((((())))))*********+++++++++))))))*********+++++++++++++++++++++++++++++++++,,,,,,,,,---------------------------............------------------------000//////............//////000000111222222333333111000000000111222444555333333444555555555666666777777666666555555666666555666777999;;;@@@FFFKKKKKKJJJGGGFFFFFFHHHKKKMMMMMMMMMLLLJJJIIIHHHGGGFFFDDDCCCAAA>>>;;;:::999999777666666666555444111///333222000000111222111000111111000000///000000000000000000111111111111111////////////////////////pppvvv{{{yyyqqqkkkjjjmmmhhhppp|||~~~xxxrrrqqqssstttrrrnnnhhhiiijjjiiifffaaa\\\XXXYYYWWWWWWZZZ\\\^^^dddkkkrrrxxxsssbbbXXXTTTSSSSSSUUUQQQXXX___eeeiiioooyyymmm\\\OOOEEECCC@@@===;;;;;;999777666666888::::::888666666666888999999999::::::;;;;;;999;;;>>>@@@???======>>>BBB;;;<<>>@@@BBBCCCCCCBBBBBB@@@AAAAAABBBBBBCCCCCCCCCFFFEEEEEEDDDDDDCCCCCCCCCAAA@@@?????????@@@BBBCCC@@@@@@????????????@@@@@@CCCBBBBBBAAA@@@@@@@@@???=========<<<;;;;;;::::::999888888777777888888999777666555444333444555666666777777777777555444333333333333333333333333333222222222222222222111111////////////////////////////////////............---,,,,,,++++++,,,,,,---,,,++++++******++++++,,,******+++,,,,,,---......++++++************+++++++++************)))))))))------,,,+++***)))((('''(((((((((((((((((((((((((((((())))))))))))((((((&&&(((******)))((()))*********))))))))))))******&&&&&&''''''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((()))))))))''''''''''''''''''''''''((((((''''''''''''(((((('''''''''''''''''''''''''''''''''((((((((((((((('''(((((((((((()))))))))&&&%%%%%%%%%&&&'''((()))))))))************)))))))))))))))))))))))))))))))))************+++++++++)))))))))************+++*********+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,------------.........------------------------//////.........//////000......///000111222333333000/////////000111222222//////000000111222222333111111111222222333555555111222444555555666777999:::999888777777999:::<<<<<<;;;;;;::::::999999888888999999888555333333444000222333555444333111///222000///000111111///...//////............//////000000000000111111111111////////////////////////nnnrrrvvvtttmmmhhhhhhjjjhhhrrrzzzuuuxxx~~~{{{rrrtttvvvuuuqqqlllgggdddbbb\\\XXXVVVTTTSSSXXX^^^dddhhhmmmooonnnnnnoooqqqzzzuuuooolllnnnttt{{{}}}|||~~~|||rrrkkkggghhhkkkkkklllooorrr|||rrrggg]]]ZZZXXXVVVYYY^^^bbbjjjrrrwwwyyy}}}{{{cccSSSJJJAAA:::999:::;;;888555555666777666888::::::777555666777555555666777999:::;;;;;;999<<<>>>>>>>>>>>>>>>======999>>>@@@;;;>>>CCC===>>>???AAABBBCCCBBBAAA@@@@@@@@@AAAAAABBBCCCCCCDDDFFFEEEDDDCCCBBBBBBBBBBBBAAA@@@???>>>???@@@BBBCCCAAA@@@@@@??????@@@@@@AAABBBBBBAAA@@@??????>>>>>><<<<<<<<<;;;::::::999999999999888777777888999999888777666555555666888999888888777666555555444444333333333333333333333333111111111111111111222222////////////////////////////////////............---,,,,,,++++++,,,,,,---,,,++++++******++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++************++++++************))))))))))))***************+++++++++))))))))))))))))))))))))'''((()))******)))((('''&&&((()))***)))((()))***))))))(((((((((((())))))$$$%%%&&&''''''&&&&&&%%%((((((((((((((((((((((((&&&&&&''''''((())))))***''''''''''''''''''''''''((((((''''''''''''((((((''''''''''''''''''''''''''''''''''''((((((((()))'''((((((((())))))))))))'''&&&&&&&&&&&&((()))***))))))************))))))************************)))************+++++++++))))))))))))************++++++,,,,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------.........,,,,,,,,,,,,,,,,,,,,,,,,------------......///000.........///000000111111111111111111222222222222...............///000000////////////000111222222000111222222111111222444333333333333444444555555444444444444444444444333222444666666333111111222000111222222222111111222111000000111222222111//////...............//////....../////////000000000........................jjjooorrrqqqlllhhhggghhhnnnyyy}}}zzz~~~~~~yyyvvvnnnfff]]]WWWSSSPPPRRRWWW[[[^^^bbbbbb___^^^___aaahhhvvvzzzkkk```[[[ZZZYYY```iiimmmooosss|||zzz}}}~~~ssstttuuurrrpppnnnnnnttt~~~uuummmmmmllliii___YYYUUUXXX[[[\\\^^^aaadddooovvvxxx~~~{{{tttmmmhhhiiigggdddgggnnnuuu}}}sss^^^KKKCCCBBB>>>999222666888555222444999<<<555777999999666555666888111222333555888:::;;;<<<>>>??????===<<<===>>>===;;;999???AAA;;;???CCC===???@@@BBBCCCCCCBBB@@@???@@@@@@AAAAAABBBCCCDDDDDDEEEEEEDDDBBBBBBAAAAAAAAAAAA@@@???>>>>>>@@@BBBCCCAAA@@@@@@??????@@@@@@AAABBBAAA@@@???>>>>>>>>>>>><<<;;;;;;::::::999888888;;;:::999888888999:::;;;:::999777666777888:::;;;:::999777555444555555666333333333333333333333333111111111111111111222222////////////////////////000/////////............---,,,,,,++++++,,,,,,---,,,++++++++++++++++++,,,...------,,,,,,++++++***++++++************++++++************))))))))))))###$$$&&&))),,,...000111************************'''((()))******)))((('''&&&''')))***)))((()))***((((((''''''''''''(((((()))***+++++++++***((('''************************&&&&&&&&&'''((())))))***'''''''''''''''''''''''')))(((((('''''''''((((((''''''''''''''''''''''''&&&'''''''''(((((())))))'''((((((((())))))************)))))))))+++,,,...))))))************))))))************************)))************+++++++++))))))))))))************))))))*********+++++++++------------------------,,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,---...///000//////////////////////////////000111111000000///111000000////////////000111111000///............///000000000///000222444000000222333333333333333111111111111111222222222+++///333444222111111222//////...---,,,,,,///111.........///111222111///000000/////////000000111---------.........//////........................___ccchhhkkkjjjkkkmmmppptttxxxiii[[[XXX\\\```___cccbbbcccdddaaaZZZWWWYYYcccgggkkklllhhhaaaZZZVVV___^^^]]]___cccgggiiijjjnnnllljjjjjjnnnxxxyyymmmbbbZZZ[[[```^^^```aaadddnnnyyy~~~wwwnnnpppuuuxxx{{{uuukkkfffbbb^^^\\\^^^TTTXXXZZZWWWVVV\\\bbbdddggglllwww{{{uuurrruuu|||yyymmm[[[TTTJJJBBB>>>;;;888555666666666666666666666666666666666666666555555555777777888999::::::::::::<<<<<<=========<<<:::999<<<<<<===??????@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@AAACCCDDDDDDCCCBBBBBBCCCFFFEEEDDDCCCBBBBBBCCCDDD@@@AAAAAABBBBBBAAAAAA@@@AAAAAAAAA@@@@@@?????????AAA@@@@@@???>>>=========<<<<<<:::999888777777777;;;:::999999888888999999999999888888888999;;;<<<:::999888777666555444444333444444444333333222111000000111111111111000000111000000///...---------000000//////.........---------......------,,,+++++++++,,,,,,,,,,,,------,,,++++++******++++++,,,,,,,,,,,,+++++++++******+++***((('''''''''((())))))))))))******+++++++++---,,,+++***))))))))))))))))))))))))))))))))))))(((((((((((((((''''''''''''(((((((((((((((''''''***(((&&&&&&((()))((('''))))))))))))(((((((((((('''((()))******)))((('''''''''''''''''''''''''''((()))(((&&&$$$$$$&&&((((((((())))))))))))((((((''''''''''''(((((((((((((((((())))))))))))((((((***)))(((''''''((())))))******))))))(((((('''''')))))))))))))))))))))))))))))))))))))))))))))))))))))))))******+++++++++,,,,,,,,,++++++***************+++++++++,,,,,,,,,000000///...---,,,,,,+++...------,,,,,,------...............---,,,++++++---------............//////............---------000000//////......------///////////////.........///......//////000111222111111000000//////......000000111222222222222222111000000000111222333333000000000000000000000000......//////////////////000000////////////000000////////////////////////........................PPPWWW___fffjjjmmmrrruuuvvv||||||ttthhhhhhpppuuuvvvwwwtttqqqoooiii```]]]___iiioootttsssmmmfffaaa___bbb___\\\]]]```bbbbbb```aaa```^^^___bbbiiiqqqwwwyyypppeee\\\UUUQQQTTT[[[XXXYYYYYYZZZaaajjjnnnmmmnnnddd^^^bbbjjjnnnqqquuu{{{rrrhhhddd```[[[ZZZ[[[YYY___aaa___```gggmmmppprrryyy{{{rrr```UUUMMMHHH@@@;;;999777555333555555555555555555555555666666666666555555555555777777888999::::::::::::;;;<<<======<<<;;;:::999;;;;;;<<<>>>>>>?????????@@@@@@@@@@@@@@@@@@@@@@@@BBBCCCEEEDDDCCCBBBCCCDDDEEEDDDCCCBBBAAABBBBBBCCC@@@AAAAAABBBBBBAAAAAA@@@AAAAAA@@@@@@@@@??????????????????>>>===<<<<<<<<<;;;;;;:::999888888888888::::::999888888888888999999888888888888999:::;;;999888777666555444444333222222222333222222111111000000111111111111000000000000000///...---------000/////////.........------------...------,,,+++++++++,,,,,,,,,,,,------,,,++++++******++++++,,,,,,,,,+++++++++*********+++***)))((('''(((((()))((()))***+++,,,---...///---,,,+++***))))))))))))))))))))))))))))))))))))((((((((((((((((((((('''(((((()))))))))((((((((()))'''&&&&&&'''(((((('''''''''(((((()))))))))***'''((()))******)))((('''''''''''''''''''''''''''((())))))(((&&&&&&'''(((''''''((((((((((((''''''''''''''''''(((((((((((((((((())))))))))))(((((())))))(((''''''((()))***((())))))******+++++++++))))))))))))))))))))))))))))))))))))))))))))))))((()))))))))*********+++,,,,,,,,,++++++******************+++++++++,,,,,,............------------------,,,,,,,,,,,,------------------------,,,,,,------------............---.........//////000000/////////...............////////////............000000///////////////000///////////////000000000//////000000111111111000111111000000000111222222000000000000000000000000////////////............000//////////////////000................................................>>>FFFRRR]]]eeemmmtttzzz|||{{{uuurrrrrryyy{{{sssyyy}}}uuummmkkkmmmwww}}}wwwnnnkkklllnnniiidddeeehhhiiiddd^^^^^^\\\[[[[[[]]]aaaeeehhhddd]]]VVVRRROOOOOOWWW______```^^^\\\___eeegggfffbbb[[[YYYaaannnwww|||zzzqqqmmmiiidddbbbcccffflllooonnnooouuu{{{}}}rrrcccUUUHHH@@@>>>;;;777555555555333222444444444444444444444444555555555555555555555555666777888999::::::::::::;;;;;;<<<<<<<<<;;;:::::::::;;;<<<======>>>======????????????????????????BBBCCCDDDDDDBBBBBBBBBDDDCCCBBBAAAAAA@@@@@@AAAAAA@@@AAAAAABBBBBBAAAAAA@@@@@@@@@@@@???????????????=========<<<;;;;;;:::::::::::::::999999999999::::::999999888888888888888888888888777888888999:::777777666555444333333222000111111222222222111111000000111111111111000000000000//////...---------/////////...............---------------,,,++++++++++++,,,,,,,,,,,,------,,,++++++******++++++,,,,,,++++++++++++*********+++***)))(((((((((((()))((()))***,,,...///000111,,,+++******))))))))))))))))))))))))))))))))))))''''''(((((((((((((((((((((((((((((((((((((((((('''&&&%%%%%%'''(((((((((%%%&&&'''((()))******+++'''(((((())))))(((((('''''''''''''''''''''''''''((()))+++***((('''((((((&&&&&&&&&''''''&&&&&&&&&''''''''''''(((((((((((('''(((((())))))(((((('''((((((''''''((()))***+++)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))*********+++++++++++++++******************++++++++++++,,,,,,,,,,,,------.........---,,,,,,++++++,,,,,,---+++,,,,,,------------,,,------------............,,,---...///000111222222------..........................................222111000///............---......///000000111111//////000000000111111111222111111000000000000111........................////////////......------//////............//////........................------------------------333:::EEEOOOYYYdddooowww||||||xxxrrrllliiikkkwwwxxxvvv{{{|||wwwuuuwwwzzztttpppsssyyyyyyqqqiiihhheeebbb```aaaccceeefffaaa\\\XXXXXXYYY]]]gggqqqsssssspppkkkkkkooopppnnnhhhcccbbbnnn|||vvvooommmooouuu|||~~~~~~~~~~~~yyypppcccVVVKKKCCC===:::666555555555555555555444444444444444444444444444444444555555555555555666666777888999999::::::999::::::;;;;;;;;;:::::::::;;;<<<======>>>>>>>>>===????????????????????????@@@AAABBBAAA@@@???AAABBB@@@@@@@@@?????????@@@@@@@@@@@@AAAAAAAAAAAA@@@@@@?????????????????????>>><<<<<<;;;;;;::::::::::::888999999::::::;;;;;;;;;999999888777777777777777888888777777777888888888666666555444444333222222000111111222222222222222000000111111111111000000/////////......---------........................,,,------------,,,+++++++++++++++,,,,,,,,,------,,,++++++******++++++,,,++++++++++++*********************))))))))))))))))))******,,,---...//////++++++***)))))))))))))))))))))))))))))))))))))))''''''''''''((((((((((((''''''''''''''''''(((((('''%%%$$$%%%'''(((((((((&&&&&&''''''((())))))***((((((((((((((((((((((((''''''''''''''''''''''''&&&(((******)))''''''(((&&&&&&''''''''''''&&&&&&''''''''''''(((((((((((('''((((((((((((((((((''''''''''''((()))******+++******)))'''&&&$$$######))))))))))))))))))))))))))))))))))))))))))))))))************************+++++++++***************************++++++++++++,,,,,,,,,,,,,,,,,,------,,,,,,++++++++++++,,,,,,***+++,,,---------------,,,,,,---------.........---------...///000000000,,,,,,,,,------......///------...............///111000///......................../////////000000000000000000111111222222222111000///////////////------------------------000//////......------,,,///......------......///------------------------------------------------111555;;;BBBIIITTTaaajjjqqqyyy{{{uuuqqqjjjdddbbbeeesss{{{}}}vvvyyy}}}{{{~~~|||{{{xxxuuuqqqkkkggghhhkkklllmmmgggcccbbbeeehhhnnnwww|||zzz|||}}}{{{sssnnnmmmwww|||uuutttwww~~~rrrhhhbbb^^^VVVKKKAAA<<<::::::999333444555555444444444444222222222222222222222222333444444444555555666666666666777888999999999999::::::999999999:::::::::======>>>?????????>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>???>>><<<<<<>>>@@@>>>>>>????????????????????????@@@@@@@@@@@@??????>>>>>>>>>>>>>>>>>>>>>>>>;;;;;;;;;;;;;;;:::::::::888888:::;;;;;;;;;;;;;;;999888777777666666777777777777777777777777777777555555444444333333222222222222333333333333333222000000111111111111000000............---------------------...............,,,,,,------,,,,,,+++***+++++++++,,,,,,,,,------,,,++++++******++++++,,,+++++++++*********))))))***************))))))(((***************+++++++++******))))))((()))))))))((((((((((((((((((((((((&&&'''''''''(((((())))))&&&%%%%%%%%%%%%&&&'''((('''&&&%%%%%%'''(((((((((((((((((('''''''''''''''((((((''''''''''''((((((''''''''''''''''''''''''$$$&&&))))))((('''&&&''''''''''''(((((('''''''''''''''''''''((((((((((((''''''((((((((((((''''''&&&&&&'''((()))***************)))'''&&&$$$######))))))))))))))))))))))))))))))))))))))))))))))))++++++++++++++++++++++++************************))))))*********+++++++++...------,,,++++++******++++++************++++++******+++,,,------------,,,,,,,,,------------...------------------------++++++,,,,,,------......,,,---------......//////...............///000000000/////////.........---///......---...///000000111111000///............,,,,,,,,,,,,,,,,,,,,,,,,//////......---------,,,......------------......------------------------------------------------000333555888<<>>>>>????????????>>>>>>========================<<<===<<<;;;::::::<<<>>>======>>>????????????>>>>>>>>>>>>??????>>>>>>>>>============>>>>>>>>>>>><<<<<<<<<<<<<<<<<<<<<<<<888999:::<<<<<<<<<;;;:::888777777666666666666666666777777777777666666555555555444444444333333333444444444444444333222222000000111111111111000000---------------------------------------.........,,,,,,,,,,,,,,,+++******++++++,,,,,,,,,,,,------,,,++++++******++++++,,,+++************)))))))))******++++++******)))(((***)))))))))((((((((((((***))))))(((((()))))))))((((((((((((((((((((((((&&&&&&''''''((()))))))))&&&%%%%%%$$$%%%&&&((()))***(((&&&&&&((()))((('''((((((((('''''''''&&&&&&(((''''''&&&&&&''''''(((''''''''''''''''''''''''$$$&&&(((((('''&&&'''(((''''''((((((((((((''''''''''''''''''((((((((((((&&&''''''((((((''''''&&&&&&'''((()))******))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))+++++++++***************)))))))))***************)))))))))************+++...------,,,***))))))(((+++******))))))******+++***++++++,,,,,,,,,,,,+++,,,,,,,,,,,,---------------------,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,---......//////------------...///000111000000//////...------,,,,,,+++*********+++,,,---000//////............///,,,,,,,,,,,,,,,,,,,,,,,,------------------------------,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,///111333444999@@@FFFWWWcccqqqyyy{{{oookkkiiigggbbb^^^```eeejjjpppuuuuuuwww|||{{{vvvvvvzzz~~~|||{{{|||kkk[[[PPPFFF>>>:::888444222222222111000000111222111///...000333111111111111111111111111222222333444444555666666555666777888999999999999999888777777888999:::;;;===>>>>>>>>>>>>>>>==============================<<<<<<<<<:::999999<<<>>><<<===>>>???@@@??????>>><<<<<<============<<<<<<<<<<<<<<<=========>>>>>>===============>>>>>>>>>888:::;;;<<<===<<<:::999777777666555555555555666666666777777777666555444555555555555444444444444444444444333222111000///000000111111111111000000------------------------,,,,,,,,,------.........+++,,,,,,,,,,,,+++******++++++,,,,,,,,,,,,------,,,++++++******++++++,,,************))))))))))))******+++++++++***)))((((((((((((((((((((((((((())))))(((((((((((())))))((((((((((((((((((((((((&&&&&&''''''((())))))***((('''&&&&&&&&&(((***,,,,,,***((((((((()))((('''&&&&&&''''''''''''''''''((('''&&&&&&&&&&&&'''(((''''''''''''''''''''''''&&&'''((('''&&&'''(((***&&&&&&&&&''''''&&&&&&&&&''''''''''''((((((((((((&&&''''''((((((''''''&&&'''((()))******)))((((((((())))))******+++++++++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((('''((()))))))))*********+++))))))))))))************,,,,,,++++++******))))))******))))))))))))******++++++,,,,,,,,,++++++***++++++,,,,,,,,,---------,,,,,,------------------,,,,,,,,,,,,++++++++++++++++++,,,------...//////......---------......///........................,,,+++***)))***+++---.........---------...//////------------------------+++,,,,,,------......///------,,,,,,,,,,,,------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,'''+++///111222444888<<>>@@@@@@@@@???>>>;;;;;;<<<<<<<<<<<<;;;;;;;;;<<<<<<<<<======>>>>>>>>>>>>>>>???????????????999:::<<<======<<<:::999777777666555555555555555666666777777777666444333555555555555555555444444444444333333111000...---000000111111111111000000------------------------,,,,,,,,,------.........+++,,,,,,,,,,,,+++******++++++,,,,,,,,,---------,,,++++++++++++++++++,,,************))))))))))))******+++,,,+++***)))(((&&&''''''((()))******+++))))))(((((((((((()))***((((((((((((((((((((((((&&&&&&&&&'''((())))))***))))))((('''(((***,,,......,,,))))))))))))((('''$$$%%%%%%&&&'''((())))))((('''&&&%%%%%%&&&'''(((''''''''''''''''''''''''((((((((('''''''''***,,,$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''((((((((()))&&&''''''''''''''''''&&&(((((()))******)))((('''******))))))((((((''''''))))))))))))))))))))))))))))))))))))))))))))))))((((((''''''&&&&&&&&&%%%(((((())))))*********+++))))))))))))***************************+++++++++******))))))))))))******,,,,,,,,,,,,,,,+++***)))++++++,,,,,,,,,---------+++,,,,,,---...///000000---,,,,,,++++++*********++++++,,,,,,---...//////000///...---------------,,,,,,------...////////////...---,,,,,,...000111---------------...///000------------------------***++++++,,,---...//////---,,,,,,++++++,,,,,,---++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,...------......///000111;;;AAAJJJSSSZZZ```eeehhhiiiiiihhhffffffhhhmmmqqqoooqqquuuxxxzzz}}}|||{{{zzzxxx|||vvv{{{sssgggUUUPPPHHH@@@:::777666666111111111111111111111111222222222111111111000000000000000000000000000000000000111111111222222222444555666777888999::::::666777999:::;;;;;;:::999<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;:::::::::999888777777888999;;;<<<>>>===<<<<<<======<<<;;;;;;<<<<<<==================<<<<<<<<<<<<;;;;;;;;;::::::;;;;;;<<<======>>>;;;:::999999888888888999;;;;;;:::888777555444444666666666777666555555444444333222111111111222333555444333111000///////////////000000000000////////////...------------...,,,,,,,,,++++++*********,,,,,,,,,,,,,,,,,,,,,,,,'''(((***,,,---------,,,************************************************))))))))))))))))))))))))***)))(((&&&&&&&&&'''(((((((((((((((((((((((((((&&&&&&'''((())))))(((((($$$%%%&&&'''((((((((((((***'''%%%&&&((((((&&&$$$)))((('''&&&&&&&&&&&&&&&***(((&&&&&&''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''',,,)))&&&&&&(((***)))(((''''''''''''''''''''''''))))))))))))***************)))(((''''''((()))******)))(((''''''((()))***)))))))))))))))))))))))))))))))))))))))))))))))))))((('''&&&%%%%%%&&&'''))))))))))))************************************************************++++++++++++++++++++++++++++++,,,,,,---...//////---,,,,,,++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++++++++.........------,,,,,,,,,++++++++++++++++++++++++------............------,,,,,,,,,,,,,,,,,,,,,,,,......,,,,,,,,,,,,......------------------,,,,,,************************,,,,,,,,,,,,,,,,,,,,,,,,************************------------...///000111555999>>>DDDJJJPPPVVVZZZeeegggiiiiiijjjkkkmmmoooqqqsssvvvxxxzzz}}}~~~|||zzzzzz~~~||||||wwwvvvyyy{{{}}}wwwlll]]]QQQGGGDDD>>>999555333333333111111111111111111111111222222111111111000000000////////////////////////000000000000111111111111444444555666777888999:::666777888::::::::::::999;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::::::::::::::::::::999999:::;;;===>>>???===<<<<<<===>>><<<;;;::::::;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;:::::::::;;;<<<=========;;;;;;:::999999999999999;;;:::999888777555444444555666666666666555444444333222111111111222333444555444222111000///////////////000000000000////////////...------------------------,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,((()))+++,,,,,,,,,,,,+++************************************************))))))))))))))))))))))))***)))(((((('''''''''(((((((((((((((((((((((((((&&&&&&'''((((((((((((((('''''''''(((''''''&&&%%%)))'''%%%&&&((((((&&&$$$(((''''''&&&&&&&&&'''''')))(((&&&&&&''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&&&&&&&&&&'''''''''((((((''''''''''''''''''''''''+++(((&&&&&&(((***)))((('''''''''''''''''''''''''''(((((((((((()))))))))***)))(((''''''((()))******)))(((''''''((())))))))))))))))))))))))))))))))))))))))))))))))))))))***)))'''&&&&&&&&&'''((())))))))))))************************************************************++++++++++++++++++++++++******++++++,,,,,,---------,,,,,,++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,++++++++++++++++++******)))))))))++++++++++++++++++++++++------............------,,,,,,,,,,,,,,,,,,,,,,,,------,,,++++++,,,------,,,,,,------------------************************,,,,,,,,,,,,,,,,,,,,,,,,************************------------...///000000111111333444888===EEEJJJ[[[___dddhhhjjjjjjkkkkkkrrrtttvvvxxxzzz~~~zzzwwwsssqqqrrrwww|||}}}~~~vvvsssvvv|||~~~~~~xxxmmmddd[[[QQQDDD;;;888666444222111111111111000000000000000000000000111111111111000000000000//////////////////////////////000000000111111111333444444555666777888888555666777888999999999999999999999999999999999999888888999999::::::;;;;;;<<<;;;::::::;;;<<<>>>??????>>>======>>>>>>===<<<999999:::;;;;;;;;;;;;;;;<<<<<<<<<<<<;;;;;;;;;;;;999::::::;;;;;;<<<<<<===;;;;;;;;;:::::::::::::::;;;:::999888777555555444555555555555555444333333111111111111222333444444444333222111000/////////...//////000000//////...///......---------------......------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******++++++,,,++++++***************************************************))))))))))))))))))))))))))))))******))))))((((((((((((((((((((((((((((((&&&''''''((((((((((((((()))))))))((('''%%%$$$###((('''&&&&&&'''(((&&&%%%''''''&&&&&&&&&'''(((((()))'''&&&&&&'''''''''&&&'''''''''''''''''''''''''''((((((((((((((((((''''''''''''((((((((())))))''''''''''''''''''''''''***(((''''''((())))))(((''''''''''''''''''''''''''''''''''''(((((((((((())))))(((((((((((())))))))))))(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))***)))((((((((((((((()))))))))))))))************************************************************++++++++++++++++++++++++*********+++++++++++++++,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++------,,,,,,,,,,,,++++++++++++++++++++++++++++++,,,------......------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++******+++,,,,,,++++++,,,,,,------......************************,,,,,,,,,,,,,,,,,,,,,,,,************************,,,,,,,,,,,,---...///000000000000///000444999===KKKPPPVVV\\\___aaaccceeepppqqqtttvvvyyy}}}wwwsssnnnkkknnnsssyyy}}}~~~}}}wwwtttwww~~~}}}~~~}}}iii```UUUKKKDDD>>>888333111111111111111111222222000000000000000000000000111111000000000/////////////////////////////////000000000111111111222222333333333444555666666777555555666777888888888888888888888888888888888888777777888999:::;;;<<<===;;;;;;::::::;;;<<<>>>???@@@>>>======>>>>>>===<<<999999:::;;;;;;;;;;;;;;;<<<<<<<<<;;;;;;;;;::::::999999::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::999888777666555555444444555555444444333222000000111111222333444555333222111000////////////...//////////////////...///...------,,,,,,---------------------,,,,,,,,,++++++++++++++++++++++++++++++++++++******))))))************************************************((((((((((((((((((((((((((()))***++++++***)))(((((((((((((((((((((((((((''''''(((((((((((((((''')))))))))((('''%%%$$$###''''''&&&''''''''''''&&&&&&&&&&&&&&&&&&'''((())))))'''%%%%%%'''((('''&&&((((((((((((((((((((((((''''''((((((((((((''''''&&&'''''''''((((((((((((''''''''''''''''''''''''((((((''''''(((((((((((('''''''''''''''''''''''''''''''''((((((((())))))))))))(((((((((((())))))((((((((((((((()))))))))((((((((((((((((((((((((((((((((((((((((((((((((******))))))))))))))))))((()))))))))************************************************************************************+++++++++++++++*********,,,,,,++++++++++++,,,,,,++++++++++++++++++++++++,,,+++++++++++++++++++++------------------------++++++++++++++++++++++++,,,,,,------------,,,,,,+++++++++++++++++++++++++++******************+++******+++,,,------......************************++++++++++++++++++++++++************************+++++++++,,,,,,---...//////111111111000111333555;;;???DDDIIIMMMRRRWWWZZZfffiiilllppptttzzz~~~|||zzzrrrnnnhhhgggkkkrrrxxx{{{{{{~~~|||~~~|||rrreeeRRRKKKBBB;;;777666444333000000111111111111111111////////////////////////000000000/////////..............................111111111222222222333333222222222333333444444555555555555555666777888888777777777777777777777777777888888:::;;;<<<===>>>:::999999999999;;;<<<===???>>>======>>>>>>===<<<::::::;;;<<<<<<<<<<<<;;;<<<;;;;;;;;;;;;:::::::::999999999:::::::::::::::::::::;;;<<<<<<;;;;;;::::::999999888777666555555444444555555444444333222000000111222333333444444222222111000////////////......////////////............---,,,,,,,,,,,,,,,+++++++++++++++,,,,,,,,,++++++++++++++++++++++++,,,,,,+++***))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((((()))***++++++***)))((((((((((((((((((((((((((('''(((((((((((((((''''''&&&&&&''''''''''''&&&&&&&&&''''''''''''&&&''''''&&&&&&&&&&&&&&&'''((()))((('''%%%%%%'''(((''''''((((((((((((((((((((((((%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''''''''(((((('''''''''((((((((((((((((((((((((((((((((()))))))))*********(((((())))))))))))((((((''''''((()))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((())))))******************((()))))))))************))))))))))))))))))))))))))))))))))))))))))))))))************************,,,,,,,,,,,,++++++++++++,,,++++++******++++++,,,++++++++++++++++++++++++++++++++++++++++++++++++))))))))))))))))))******++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++******************************++++++,,,---......************************++++++++++++++++++++++++************************++++++++++++,,,---......---///000111000//////000000333666999<<>>888444222222222111000000000000////////////////////////////////////////////////....................................000111111111222222222222111111111222222333333333444444444444555666777888666666666666666666666666777777888999:::;;;<<<===888888777777888999;;;<<<>>>===<<<<<<======<<<;;;::::::;;;<<<<<<<<<<<<<<<;;;;;;;;;;;;::::::::::::999999999999999999999999888999;;;<<<<<<;;;::::::999999888888777666666555555555555555555444333333000111222333333333333333222111000///////////////---......//////......---...------,,,,,,,,,,,,,,,******++++++++++++,,,,,,++++++++++++++++++++++++,,,+++***)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))******))))))(((((((((((((((((((((((((((((((((((((((((('''&&&$$$%%%&&&'''((((((((((((%%%&&&((('''&&&&&&'''(((''''''&&&&&&&&&'''(((((((((&&&%%%%%%'''(((((('''''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''%%%'''))))))'''&&&''''''(((((((((((((((((((((((())))))))))))************(((((())))))))))))((((((&&&'''((()))*********)))))))))))))))))))))))))))))))))))))))))))))))))))((())))))************)))))))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))************************++++++,,,,,,,,,,,,,,,,,,++++++************++++++++++++++++++++++++++++++*********+++++++++++++++***************+++++++++++++++++++++++++++++++++***++++++,,,,,,++++++***++++++++++++++++++++++++)))***++++++++++++***)))******++++++,,,,,,------************************++++++++++++++++++++++++************************************+++,,,---...***,,,......------...///---...000222333666:::===CCCIIIRRR[[[bbbiiiooossswww}}}~~~xxxrrrpppooonnnhhhdddaaaccckkkssswwwyyywwwyyy~~~pppggg\\\UUUPPPJJJAAA;;;999777555222111000///...000000///.........//////......................../////////.........------........................////////////000000000000000000111111111111222222444333333333333555666777666666666666666666666666555666666777888999999:::888888777777888999;;;<<<===<<<;;;;;;<<<<<<;;;:::999999:::;;;;;;;;;;;;;;;;;;;;;;;;:::::::::999999999999999999999888888888777888:::;;;<<<;;;:::999999999888888777666666666555666666666666555444444111111222333333333222111111111000////////////000---......//////......---...---,,,,,,++++++,,,,,,+++++++++,,,,,,,,,------************************+++***)))(((((()))******))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((('''''''''(((((()))***((((((((((((((((((((((((((((((((((((((('''&&&&&&$$$%%%&&&'''(((((((((((($$$&&&((((((&&&&&&''')))(((''''''&&&&&&&&&'''''''''&&&%%%%%%'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''$$$'''))))))'''&&&&&&'''((((((((((((((((((((((((((((((((())))))))))))***'''((()))******)))((('''%%%&&&((()))*********)))))))))))))))))))))))))))))))))))))))))))))))))))'''''')))*********))))))))))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))************************))))))******++++++,,,,,,++++++************++++++************************)))*********++++++++++++++++++,,,,,,------------++++++++++++++++++++++++******++++++++++++************************************+++,,,,,,+++******++++++++++++++++++,,,,,,************************************************************************************+++,,,---...***+++,,,++++++,,,...000---///111111111000222333777>>>HHHSSS\\\ccciiimmmooouuuxxxuuuqqqrrrsssrrrhhhdddbbbeeennnvvvzzz{{{xxxyyy}}}}}}qqqjjjYYYRRRIIIBBB???===:::777333333333222222000///---111111/////////000111222........................//////.........---------........................------------.........///000000000000111111111111444333222222333444666777777777777777777777777777444444555555666666777777999888888777888:::;;;<<<===;;;::::::;;;<<<:::999888888999::::::::::::999;;;;;;;;;:::::::::999999999999888888888888888888666777999;;;;;;;;;999888999999888888777777666666666666777777666666555444111222333444333222111000111000000////////////000---..................---...---,,,,,,++++++,,,,,,,,,,,,,,,------.........************************+++***)))(((((()))***+++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((('''&&&&&&&&&((()))***(((((((((((((((((((((((((((((())))))((('''&&&&&&%%%&&&''''''((((((''''''$$$&&&((((((&&&%%%'''***)))((('''&&&&&&&&&&&&&&&'''&&&%%%%%%'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''''''''''''''((((((((()))''''''''''''''''''''''''$$$'''***)))'''%%%&&&'''))))))))))))))))))))))))''''''''''''((((((((()))'''((()))******)))((('''%%%&&&((()))*********)))))))))))))))))))))))))))))))))))))))))))))))))))&&&'''(((*********)))((())))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))'''(((((()))***++++++,,,++++++************++++++************************))))))******++++++++++++(((((()))))))))*********++++++++++++++++++++++++******++++++++++++*********************************+++,,,------,,,+++***,,,,,,++++++++++++++++++************************************************************************)))************+++++++++------------------------+++---.../////////111333333777<<>>DDDKKKPPP\\\bbbhhhiiilllqqqsssrrrtttpppmmmmmmpppuuuwwwxxxxxxuuuvvv{{{~~~~~~zzzttttttyyy~~~~~~|||{{{|||rrrfffYYYMMMDDD???<<<999666444444444333222......////////////............------------.....................---,,,,,,((()))***+++,,,---------+++,,,,,,------,,,,,,+++...---,,,++++++---...000444333222111000/////////111111222333333444444555555555555555666666666666555555666666777777888888555666666777888888999999777777777777777777777777777777777777888888888888999999999999888777666666777777777777777888888888999999999999:::::::::;;;===;;;999999:::;;;:::999666666666666555444333222222222111111111000000000/////////......////////////............------------,,,,,,+++******++++++------------------------++++++************++++++*********)))))))))((((((((()))******+++***))))))))))))))))))))))))))))))***(((&&&''')))***(((&&&(((((((((((((((((((((((()))))))))(((((('''''''''''''''''''''((((((((()))&&&&&&''''''''''''&&&&&&'''(((((((((&&&&&&((()))***)))((('''&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%&&&''''''(((((('''''''''&&&%%%%%%%%%%%%&&&''''''((()))))))))'''%%%###&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&''''''(((((((((((()))))))))*********((('''''')))******)))(((((((((((((((((((((((())))))))))))))))))))))))((((((((((((''''''&&&%%%(((((((((((())))))))))))'''''''''''''''((())))))*********)))))))))((((((***)))))))))((((((((('''((((((((((((((((((((((((*********)))))))))))))))***)))(((***,,,---+++)))************************************************))))))(((((((((((()))))))))***++++++++++++***))))))))))))))))))*********************************************************,,,+++,,,---//////---+++*********)))******+++,,,+++******))))))******+++,,,+++)))((((((((()))*********))))))))))))))))))))))))***+++,,,,,,------,,,,,,,,,,,,---------------...///...,,,+++,,,---,,,---///111333666:::>>>HHHOOOUUUXXX]]]eeekkklllqqqpppooopppsssuuuvvvvvvyyywwwxxx|||{{{uuuooommmpppvvv{{{|||}}}~~~{{{wwwuuuzzz{{{tttpppnnnddd___UUUJJJAAA:::777555555333000000111222222222---------......---------......------------......---............------,,,((()))***+++,,,---------+++,,,,,,------,,,,,,+++------,,,+++,,,---...///222111111000000000000000111111222222333444444444666666666555555555555555666777777777777777777777555666666777777888888999999999999999999999999999666666666666777777777777999999999999888777666555666666666777777888888888888888888999999999999999<<<:::888888999999999888555555666555555444333222111111000000000/////////...------------------...///............------------,,,,,,+++++++++++++++------------------------,,,,,,++++++++++++,,,,,,)))))))))((((((((((((((('''''')))***++++++++++++((((((((((((((((((((((((((('''&&&'''(((((('''&&&*********))))))(((((((((((((((((('''''''''''''''''''''''''''((((((((((((&&&&&&''''''''''''&&&&&&'''(((((('''&&&&&&''')))))))))((('''&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&%%%&&&''''''(((((('''''''''&&&&&&%%%%%%&&&&&&'''&&&'''(((((('''&&&%%%$$$'''''''''&&&&&&'''''''''(((''''''&&&&&&&&&'''''')))))))))*********++++++,,,***'''&&&''')))))))))))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&(((((()))))))))*********''''''''''''((((((((()))******))))))))))))(((((())))))))))))(((((((((((())))))))))))))))))))))))++++++******))))))(((((())))))(((***+++,,,+++)))************************************************))))))(((((((((((()))))))))******++++++******)))************))))))))))))************************************************,,,,,,,,,...000000...,,,)))))))))***,,,---///000+++******))))))******++++++***))))))((()))))))))++++++***))))))(((''''''))))))***+++,,,------...,,,,,,,,,,,,,,,---------,,,---...---+++***+++,,,,,,...///......///222444888>>>CCCEEEJJJTTTZZZ\\\ccceeeiiimmmrrrtttvvvvvvwwwxxxzzz~~~yyyvvvqqqnnnooottt{{{}}}tttnnnlllnnnoookkkcccZZZTTTPPPJJJFFF@@@;;;666555555555111///......///111000000------............------...------,,,,,,------...---------......------,,,------......------,,,++++++,,,,,,------,,,,,,+++------,,,,,,,,,---...///000////////////000111111111111111222333333444444666666666555555444444444666666666666666555555555666666666666777777888888999999999999999999999999777777777777888888888888999999999999888777666555555555666666777888888888888888888888888888888888888666555555666666666444444555555555444444333222000000000000////////////...------,,,,,,------...///............------------,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++******+++++++++))))))))))))))))))))))))(((((())))))************((((((((((((((((((((((((''''''&&&&&&'''''''''&&&+++******))))))(((((('''''''''''''''''''''&&&&&&'''''''''(((((((((((((((&&&&&&''''''''''''&&&&&&''''''((('''&&&%%%'''))))))((('''&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&%%%&&&''''''((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&%%%$$$((('''&&&%%%%%%&&&'''((((((((('''&&&&&&&&&&&&''')))*********++++++++++++...+++'''%%%&&&((())))))((((((((((((((((((((((((''''''''''''''''''''''''$$$%%%%%%&&&''''''&&&&&&(((((((((((())))))))))))&&&''''''((((((((((((((())))))))))))))))))(((((())))))))))))(((((((((((()))))))))))))))))))))))),,,++++++***)))(((''''''(((((()))***++++++***)))************************************************))))))(((((((((((())))))))))))************))))))++++++******))))))((((((*********************************************************,,,...///---+++*********+++,,,...///000******))))))))))))************))))))))))))))))))******))))))(((((((((((())))))***++++++,,,------+++++++++,,,,,,,,,------***+++,,,,,,++++++,,,...---...//////......000111000444777777:::AAAGGGHHHNNNSSSZZZbbbhhhnnnrrrtttrrruuuyyy}}}~~~|||yyyvvvuuuxxx~~~~~~qqqeee^^^[[[ZZZVVVQQQJJJCCC>>><<<888777555333222222111111111000....../////////---.........//////.........------,,,,,,,,,,,,------,,,,,,---------------,,,------......------,,,++++++,,,,,,------,,,,,,+++,,,,,,,,,,,,------..................///000111222000000111222222333333444666666555555444444333333444444444444444444333333666666666666666777777777555555555555555555555555666666777777777888888888888888888888777666555555444555555666777777888888888888888888888888888888888666444444555555555444444444444444444444333222000000000000//////////////////............/////////............------------,,,,,,+++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,******))))))))))))******************************+++******)))))))))))))))((((((((((((((((((((((((&&&'''''''''&&&&&&'''''')))))))))(((((('''''''''&&&&&&''''''''''''''''''((((((((((((((('''''''''&&&&&&''''''''''''&&&&&&&&&'''((('''%%%%%%'''((((((''''''&&&&&&&&&&&&'''''''''''''''''''''''''''%%%&&&''''''((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%&&&'''((((((''''''&&&&&&&&&'''''')))*********++++++++++++...+++'''%%%&&&((())))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&''''''''''''&&&&&&&&&'''''''''((((((&&&&&&'''((()))((((((((((((((((((((((((((())))))(((((((((((()))))))))))))))))))))))))))))))))))),,,++++++***)))((('''''''''((()))***************))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))++++++******))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))*********,,,...///---,,,,,,+++++++++,,,,,,---...***))))))))))))))))))***)))))))))*********))))))''''''(((((()))))))))))))))************+++++++++******++++++,,,,,,------***+++---,,,,,,+++---...,,,---......------...///,,,000111///000555888888<<>><<<;;;999666333111000//////................................................///...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++*********************************...------,,,++++++******...//////000///...---,,,++++++******++++++,,,---...............---------...///000111111222222222444444444444444444333333222444555555444333333444666666666666666777888888:::999999888888888888888888888888888888999999999666666555444444444555555666555555555555666777777888777777666666666777777777888888666555555666777555555555555444333222111111111111111000000000000000000000000000000000000...------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,+++++++++************************************************))))))(((((((((((())))))(((((((((((((((((((((((()))(((((((((''''''''''''''''''''''''((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''%%%%%%&&&'''((((((((((((&&&&&&'''''''''((((((((()))((((((((('''''''''&&&(((((((((''''''(((((((((((((((((((((((('''&&&&&&(((((((((((())))))))))))'''((((((((())))))))))))((((((((((((((((((((((((***)))(((''''''((()))***)))(((((('''((()))***+++***)))))))))((((((((((((''''''''''''''''''''''''***)))(((''''''((()))***+++''''''++++++''''''+++...+++(((&&&''')))))))))*********)))))))))((((((((((((((((((((((((((((((*********))))))((((((((((((((())))))******++++++&&&'''((())))))((('''&&&((((((''''''''''''(((((((((((())))))))))))((((((***))))))(((((())))))***%%%&&&&&&%%%###!!!"""###((((((((((((((()))))))))***))))))(((((((((((((((%%%'''))))))((((((((())))))))))))))))))(((''''''%%%&&&'''((())))))((('''***++++++++++++***)))))))))************+++++++++,,,,,,,,,,,,,,,++++++*********+++,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,+++*********+++,,,---000333444555777===AAAHHHJJJMMMRRRWWW]]]aaacccdddjjjqqqvvvzzz{{{ssskkkhhhiiimmmpppsssqqqrrrvvvzzz~~~~~~yyyvvvsssmmmiiiooozzzyyyyyyzzzxxxxxxyyy|||}}}qqqkkkccc\\\WWWRRRKKKGGG>>>===;;;999777444222111333222111///......//////------------------------------------------------...------,,,,,,------...+++++++++++++++++++++++++++++++++++++++*********************************------,,,,,,++++++******+++,,,,,,,,,,,,+++******+++************+++,,,,,,///.........------,,,,,,------...000000000000000333333333333333333333333333444555555333333444555777666666666666777888888::::::999888888888888888999999999999999999888888777777666555555555555555666666666666666777777888666666555555555666777777666555444555666888888777444555555444444333222111111111111111000000000000000000000000000000000000------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++,,,************************************************))))))(((((((((((())))))((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&((((((''''''''''''((((((%%%&&&&&&&&&''''''''''''((((((((('''''''''''''''))))))))))))))))))))))))'''(((((((((((('''&&&&&&&&&'''''''''((((((((((((''''''((((((((()))))))))(((((((((((((((((((((((())))))(((''''''((())))))))))))(((((())))))***+++*********))))))))))))((('''''''''''''''''''''''')))((((((''''''(((((()))***''''''))))))(((***---...+++(((&&&'''(((((((((******))))))))))))(((((())))))))))))))))))))))))))))))(((((((((((('''''''''(((((()))+++,,,,,,---&&&'''((())))))((('''&&&((((((''''''''''''((((((''''''((((((((((((''''''(((((())))))))))))((((((&&&(((((('''%%%$$$%%%&&&((((((((((((((((((((((((***)))((((((''''''((((((&&&((()))***)))((()))***))))))*********)))((((((&&&&&&'''(((((((((((('''******+++++++++******)))))))))*********+++++++++++++++,,,,,,,,,++++++***((()))***+++,,,---------++++++++++++++++++++++++...---,,,++++++++++++,,,///000222222111333666888888999<<<@@@EEEJJJNNNQQQWWW]]]eeekkkqqqxxx{{{ssskkkhhhjjjnnnrrrrrrqqqrrrvvvyyy}}}{{{xxxpppjjjfffkkkvvv}}}~~~xxxtttuuuvvvtttuuuwww{{{sssiiiaaaUUUPPPJJJDDDAAA???;;;999666666666555444444333333111000////////////000000------------------------------------------------......---,,,,,,,,,------************************+++++++++***************************************,,,,,,,,,,,,++++++******((((((((((((((((((''''''***************++++++,,,///......------,,,,,,+++,,,,,,---...////////////222222222222333333333333333444555444333333444666777777666666777777888999::::::999888888888888999999999999999999999999999::::::999888777777777777777777666666777777888999777777777777777888888999888555222444777999777555444444444444444333222111111111111111000000000///000000000000000000000000---------,,,,,,,,,++++++++++++++++++++++++++++++---,,,+++******+++,,,---************************+++++++++***************))))))(((((((((((())))))((((((((((((((((((((((((((((((((((((((('''''''''''''''''''''((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%+++)))((('''&&&'''((((((%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''((((((((())))))((((((((('''''''''(((((('''&&&&&&%%%%%%&&&&&&&&&''''''''''''''''''((((((((())))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((()))))))))))))))(((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((((((''''''(((***,,,///222---***(((&&&'''''''''&&&***)))))))))(((((((((((())))))))))))))))))))))))(((((((((((((((((((((((('''(((((()))******++++++&&&'''(((((()))(((((('''((((((''''''''''''((((((&&&''''''''''''''''''&&&&&&'''))))))))))))'''&&&)))***+++***)))((()))***)))(((((((((((('''''''''))))))(((''''''''''''((((((***+++***)))''''''((((((((())))))))))))((('''&&&''''''''''''''''''''')))******+++++++++******))))))*********+++++++++******+++,,,,,,+++++++++((()))***+++,,,,,,------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,---,,,---.........///111222///000222555888<<>><<<999777555444222111000111111111000///000000////////////////////////++++++,,,------.........------------------------,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,---...///000++++++++++++++++++++++++((()))))))))*********+++******************************************+++++++++******)))***+++,,,---)))))))))))))))***+++++++++++++++,,,,,,------...+++,,,---...//////////////////000000111222222333333333333222222333666999888888777777888888999:::;;;;;;:::999999999999:::666666777999;;;<<<>>>>>>;;;:::999888777666666666999888888888888999:::::::::999888777666555555555888888888666333111222333111222222333333333222222111111111111000000000000////////////////////////,,,,,,,,,++++++++++++***************************+++++++++,,,,,,+++++++++************************,,,,,,++++++***))))))((())))))(((((((((((())))))((((((((((((((((((((((((''''''''''''((((((((()))''''''''''''((((((((((((((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%&&&&&&&&&&&&&&&%%%%%%&&&&&&'''''''''(((((((((%%%%%%%%%&&&&&&'''''''''&&&'''((())))))((('''&&&$$$%%%&&&&&&'''''''''&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&''''''((((((''''''&&&''''''((((((((('''%%%%%%&&&&&&&&&&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''&&&&&&$$$)))***(((***///111...'''%%%$$$%%%'''((('''&&&))))))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((()))))))))''''''''''''((((((((((((&&&&&&&&&''''''((()))***((((((''''''''''''((((((''''''(((((((((((('''''''''&&&&&&&&&&&&&&&&&&'''%%%&&&(((((('''((()))+++$$$%%%%%%&&&'''((())))))(((((('''&&&&&&&&&&&&'''&&&((()))(((&&&%%%%%%%%%%%%&&&&&&'''((((((''''''((('''&&&%%%%%%%%%&&&&&&((()))***+++++++++++++++)))************+++++++++((()))***+++++++++++++++******+++++++++******)))************************,,,,,,,,,,,,+++***)))(((***))))))***,,,,,,+++***------------...///000111***---111222111222444777666;;;@@@BBBGGGKKKJJJEEELLLJJJHHHFFFGGGIIILLLNNNQQQSSSVVVYYYYYY\\\gggssswwwxxxwwwrrrllliiimmmrrrooopppppplllggghhhooowwwrrruuuuuuqqqnnnpppooommmiiiggggggiiifffbbbaaacccjjjooopppjjjdddaaa___]]]WWWSSSOOOKKKJJJIIIHHHGGGEEEBBB???<<<:::999777555444333111000000111111222+++---///000//////000000------------............***+++---...000000111111,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,((()))***+++---000222333++++++++++++++++++++++++(((((())))))*********+++******************************************++++++,,,,,,+++++++++,,,...///)))))))))))))))******+++)))***+++,,,------...///,,,,,,---...////////////...//////000111222222222333333333222222333666999888888888777888888999:::<<<;;;::::::999999::::::555555777999;;;===???@@@>>>===<<<:::999888888888999999888888999999:::;;;======;;;999888777777777666888999666222111222555111222222333333333222222111111111111000000000000////////////////////////,,,,,,,,,+++++++++*********************************+++,,,------,,,+++***************************,,,,,,++++++***))))))((())))))(((((((((((())))))((((((((((((((((((((((((&&&'''''''''(((((())))))''''''''''''((((((((()))((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&###$$$%%%&&&&&&&&&$$$$$$'''''''''(((((((((((()))%%%%%%%%%&&&&&&''''''''''''((()))++++++)))((('''$$$%%%&&&&&&'''''''''&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''$$$$$$%%%&&&&&&%%%$$$$$$(((((()))))))))(((&&&%%%&&&'''''''''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''(((((('''&&&%%%%%%***+++((((((---,,,(((%%%$$$$$$%%%'''((((((''')))(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&'''((()))***++++++&&&&&&&&&'''''')))******((((((''''''''''''((((((''''''((((((((((((''''''''''''%%%$$$$$$%%%''''''###%%%''''''&&&'''(((***###$$$%%%&&&''')))******(((((('''&&&&&&&&&&&&'''###%%%''''''&&&%%%&&&'''&&&&&&'''((())))))((((((((((((&&&%%%$$$%%%%%%&&&))))))))))))))))))))))))))))))))))))************...,,,))))))***+++,,,+++)))))))))***+++++++++,,,,,,,,,,,,+++++++++******------,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,...000111111111000000111111222333555666777<<<<<<;;;;;;;;;;;;<<<<<>>===<<<:::999888888888555555555444444444333333222222111000000///000000......................../////////......---------,,,,,,...///000111111111---------,,,,,,+++++++++---,,,,,,+++++++++,,,,,,*********++++++,,,,,,,,,+++++++++*********))))))))))))))))))***************)))))))))+++,,,+++***++++++******++++++,,,------,,,***)))***+++***)))---,,,+++++++++,,,---...,,,,,,,,,++++++*********++++++,,,------......///////////////000000000000333222111222333666999;;;777777777777777888888888999999999888888888777777777888888999;;;===???@@@>>>======<<<;;;;;;::::::888888999::::::::::::999888999999888888777666555444444444444444444444444111111111111111111111111111000000///...---------........................//////...,,,***+++---///+++++++++++++++++++++++++++******,,,......---,,,---,,,,,,++++++,,,,,,------,,,++++++******++++++((((((((((((((((((((((((************************&&&&&&&&&''')))***,,,---''''''''''''''''''''''''$$$%%%&&&&&&''''''&&&&&&(((((('''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$%%%'''((((((((('''&&&&&&%%%%%%&&&'''((())))))))))))((('''&&&%%%%%%%%%%%%%%%&&&'''(((******((('''&&&'''''''''&&&&&&%%%%%%%%%''''''''''''''''''''''''"""'''---+++''''''''''''''''''&&&&&&&&&&&&&&&''''''''''''''''''%%%%%%%%%&&&&&&'''''''''''')))))))))&&&%%%$$$%%%'''''''''&&&&&&%%%%%%%%%))))))(((((('''''''''&&&&&&&&&&&&&&&(((***---...'''''''''&&&&&&'''''''''%%%%%%&&&'''(((((((((''''''''''''''''''''''''''''''((()))))))))(((&&&%%%)))((('''&&&&&&'''((()))((((((''''''&&&&&&%%%%%%(((((())))))))))))(((((('''''''''''''''&&&&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&""""""""""""###%%%'''(((((((((((((((((((((((((((%%%%%%&&&'''((((((''''''(((((('''''''''&&&&&&&&&(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))***************)))((()))+++,,,,,,+++***************+++++++++,,,,,,+++++++++******************))))))***++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,---.../////////...---////////////000222333444555555444444444444555555333444555777999;;;===???FFFEEEDDDCCCDDDFFFHHHJJJMMMKKKIIIHHHHHHIIIKKKMMMNNNMMMKKKIIIGGGFFFEEEEEEDDDCCCAAA???>>><<<<<<<<<@@@???===;;;999777666555777666555444333222222222111111111000000000//////000000///...............------------------------.........---------,,,,,,((()))******++++++++++++------,,,,,,,,,+++++++++,,,,,,+++++++++++++++,,,*********++++++,,,,,,,,,+++++++++*********))))))'''(((((((((((()))))))))***)))((()))+++,,,+++******************+++,,,,,,,,,***(((((()))***)))(((---,,,+++)))))))))***************++++++,,,,,,,,,++++++,,,,,,---............/////////000000000000111111111222333555777888666666777777777777888888999999999888888777777777777888888999;;;<<<>>>???======<<<<<<;;;::::::999777888999999::::::999999888888888888888777555555444444444444444444444444111111111111111111111111111000000///......------........................++++++***(((&&&''')))+++++++++++++++++++++++++++,,,***((((((***,,,------,,,,,,++++++++++++,,,,,,+++***))))))(((((())))))((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''((()))++++++''''''''''''''''''''''''%%%%%%&&&'''''''''''''''(((((('''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%'''''''''''''''&&&%%%%%%%%%&&&'''((())))))))))))((('''&&&%%%%%%%%%%%%&&&&&&'''((())))))((('''&&&''''''&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''&&&"""!!!'''+++)))&&&&&&&&&''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((###%%%'''(((''''''((()))''''''&&&&&&&&&%%%%%%%%%)))((((((((('''''''''&&&%%%%%%&&&'''(((***+++,,,&&&'''((())))))((('''&&&&&&&&&''''''(((''''''''''''''''''''''''''''''''''''((()))))))))(((&&&%%%(((((('''&&&&&&'''((((((((((((((('''''''''''''''(((((())))))))))))((((((((((((''''''&&&&&&&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%''')))***''''''''''''''''''''''''%%%&&&&&&'''((((((''''''(((((('''''''''&&&&&&&&&''''''''''''''''''''''''))))))))))))))))))))))))))))))))))))************)))((((((***,,,------,,,+++++++++***************,,,++++++++++++*********)))))))))))))))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,---------...------......---,,,++++++---------------......///000//////......//////000111000000000000111111222555555555555666777888999<<<;;;999888888999;;;<<<;;;:::999777666666666666444444333222222222333333444444333222111///......111000//////.........//////.........------------...------,,,,,,,,,,,,,,,------------------------------,,,,,,,,,,,,,,,+++,,,,,,---------------,,,,,,,,,,,,,,,+++++++++++++++++++++******++++++,,,*********++++++++++++++++++************)))))))))''''''''''''((((((((((((***)))((()))+++,,,+++***)))))))))*********+++++++++)))((((((***++++++***///...,,,***)))))))))******+++++++++++++++++++++++++++,,,,,,------............/////////000000000000000111222333333333333555555666666666777777777888888888888777777777777777777888888:::;;;======<<<<<<;;;;;;:::999999999777777888999999999999999888888888888777666555555444444444444444444444444111111111111111111111111000000000///......------........................,,,,,,,,,***))))))***,,,++++++++++++++++++++++++,,,***'''&&&(((+++---...++++++************++++++******)))(((((((((((()))))))))))))))))))))))))))((((((((((((((((((((((((((((((''''''(((((()))***''''''''''''''''''''''''&&&&&&'''((((((((((((''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&%%%%%%$$$%%%&&&'''(((((((((((((((''''''&&&%%%%%%%%%&&&&&&&&&'''((())))))((('''&&&'''&&&&&&&&&&&&%%%%%%%%%'''''''''''''''''''''''')))'''%%%%%%'''((('''&&&%%%&&&&&&&&&'''(((((((((&&&&&&&&&%%%%%%$$$$$$###''''''''''''(((((((((((("""$$$&&&''''''''')))***'''&&&&&&&&&&&&%%%%%%%%%((((((((('''''''''''''''$$$%%%&&&'''((((((((((((%%%'''***++++++***'''%%%'''''''''(((''''''&&&&&&''''''''''''''''''''''''((((((((()))(((((('''&&&''''''&&&&&&&&&&&&'''''''''((((((((((((((())))))'''(((((())))))(((((('''))))))((('''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''')))***+++''''''''''''''''''''''''%%%&&&''''''(((''''''''''''''''''''''''&&&&&&&&&''''''''''''''''''''''''))))))))))))))))))))))))((()))))))))************---+++))))))+++---...---,,,+++++++++***)))))))))++++++++++++************************+++,,,......++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,+++++++++***---,,,,,,+++++++++,,,,,,//////............//////333333222111000000000111000111222222333333333333555555333222222333555555333333222222222222222333111111111000000111222222222222111111000000000000//////............//////////////////............---,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++000111111111000000///...,,,+++++++++++++++++++++,,,++++++++++++,,,,,,---***************+++++++++************))))))))))))'''''''''((((((((())))))***)))((()))***++++++)))(((((())))))************+++***)))***+++------,,,000///---,,,,,,,,,------......---+++***((('''&&&***++++++,,,------.............../////////000000///111222444444333222111444444444555666666777777777777777777777777777777777777777888999:::;;;<<<:::::::::999999888888888666777777888999888888888888888888888777666555444333333333333333333333333111111111111111111111111000000//////.............................................---++++++,,,...+++++++++++++++++++++++++++)))((((((***,,,------******))))))))))))******,,,,,,+++***************)))))))))))))))))))))))))))))))))))))))))))))))))))(((((('''''''''((((((''''''''''''''''''''''''&&&''''''((()))(((((((((''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&$$$%%%%%%&&&%%%%%%$$$$$$%%%&&&''''''(((((((((''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))))))))(((&&&%%%&&&&&&%%%%%%%%%&&&'''((())))))))))))((('''&&&&&&%%%%%%&&&&&&''''''''''''''''''$$$&&&''''''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$%%%&&&'''((('''&&&%%%&&&'''((())))))((('''&&&'''((((((((('''&&&%%%%%%''''''''''''''''''''''''((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((())))))******'''(((((((((((((((((('''))))))((('''&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&'''''''''((()))******''''''''''''''''''''''''&&&&&&'''''''''''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((((()))))))))************333///+++((()))+++......,,,+++++++++***)))))))))+++++++++*********))))))))))))******+++,,,---...++++++++++++++++++++++++,,,++++++***)))(((''''''************++++++,,,,,,------,,,+++++++++,,,,,,//////............//////000000///.........//////---...///000000000///...000///............///000......---......///000000000000///...............---------..............................//////000000////////////.........---,,,,,,+++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++------------,,,+++******++++++++++++++++++++++++,,,,,,,,,,,,,,,---......************************))))))))))))))))))))))))(((((()))))))))*********)))((('''(((***+++***)))'''((()))************)))***((('''(((***+++++++++---,,,,,,+++,,,---///000...---,,,+++)))((('''&&&******++++++,,,------...............////////////000111333555555333111000222333333444555555666666666666666666666666666666777777777777777888999:::888888888888777777777777555666777777888888777777777888888777777666555444333333333333333333333333111111111111111111111111////////////....................................+++,,,---,,,***)))***,,,++++++++++++++++++++++++))))))***,,,...///---+++***))))))(((((())))))***,,,+++******))))))******)))))))))))))))))))))))))))))))))))))))))))))))))))(((((('''''''''''''''''''''''''''''''''''''''&&&''''''((()))(((((((((&&&'''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((('''&&&%%%$$$$$$%%%%%%&&&%%%%%%$$$%%%&&&&&&'''''''''''''''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%'''((((((&&&%%%&&&'''%%%%%%%%%&&&'''((())))))))))))((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%''''''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''$$$%%%&&&''''''&&&%%%$$$((('''%%%$$$$$$%%%'''((('''((((((((('''&&&%%%%%%''''''''''''''''''''''''(((((('''''''''(((((((((%%%&&&&&&&&&&&&&&&&&&%%%''''''(((((())))))******''''''(((((((((((('''''')))(((((('''&&&&&&%%%%%%''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''((((((((()))''''''''''''''''''''''''&&&'''''''''''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((())))))))))))************444000+++((()))+++,,,---+++++++++***************+++************)))))))))((((((((((((((()))***+++++++++++++++++++++++++++,,,++++++***)))(((''''''***************+++,,,---...---,,,,,,,,,,,,,,,---......------------.........---------------...///---....../////////.........------------------...------,,,------...///000000000///...------------+++++++++,,,,,,,,,---------,,,,,,,,,,,,,,,------......---------,,,,,,,,,---,,,,,,,,,,,,------...++++++++++++++++++++++++***++++++++++++,,,,,,,,,++++++++++++******)))(((*********+++++++++++++++++++++++++++,,,---......***************)))))))))(((((()))))))))))))))***))))))))))))************)))((('''(((***+++***)))((()))***+++++++++***)))(((&&&%%%%%%'''((((((''')))((((((((()))+++---...)))***************************++++++,,,,,,------------........./////////000111333444444333222111111111222333444555555666555555555555666666666666777777666666666777777888666666666666666666666666555555666777777777777777777777777777666555444444333333333333333333333333111111111111111111111111//////////////////..............................---...///...,,,+++,,,---++++++++++++++++++++++++((()))+++...000000---*********))))))))))))******))))))(((''''''''''''((())))))))))))))))))))))))((((((((((((((((((((((((((((((''''''&&&'''''''''''''''''''''''''''''''''&&&&&&'''(((((((((((('''&&&&&&&&&'''''''''''''''&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((&&&%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%&&&&&&'''''''''&&&&&&&&&&&&%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''"""$$$&&&'''&&&&&&'''(((%%%&&&&&&&&&'''(((((((((&&&&&&&&&%%%%%%$$$$$$###%%%%%%%%%$$$$$$$$$$$$$$$!!!###%%%&&&&&&&&&((()))%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&'''''''''%%%%%%&&&&&&'''&&&&&&&&&(((&&&$$$""""""$$$&&&((('''''''''(((''''''&&&&&&''''''''''''''''''''''''(((''''''''''''((())))))&&&&&&''''''''''''&&&&&&'''((((((((((((((())))))&&&''''''((((((''''''&&&(((''''''''''''&&&&&&&&&(((((((((((((((((((((((($$$%%%%%%&&&&&&'''''''''%%%%%%&&&'''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((''''''&&&%%%&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((())))))))))))************...,,,***)))***+++*********************+++++++++************))))))))))))))))))(((((((((((())))))*********************************+++++++++++++++---,,,+++*********++++++---,,,,,,,,,,,,------...------,,,,,,,,,,,,------......---------....../////////////////////////////////............//////...------......///000111000000///.........//////,,,,,,,,,,,,------------,,,++++++************+++---------,,,,,,,,,++++++,,,+++++++++,,,,,,---...++++++++++++++++++++++++++++++++++++,,,,,,------++++++,,,,,,,,,+++******)))*********++++++++++++))))))))))))***+++,,,---+++*********)))))))))((((((((((((((())))))******((((((((())))))))))))***)))((('''(((*********(((((()))+++,,,---,,,+++******(((&&&&&&'''((('''&&&)))(((((('''((()))+++,,,(((((())))))******++++++*********+++,,,,,,---------------.........//////...///111222222222111111000000111222333444555555444444444555555666666666777777666555555666666666555555555555555555555555444555666666777777666666777777777777666555444333222222222222222222222222111111111111111111111111.../////////////////////...........................000111000...---...///++++++++++++++++++++++++))))))***,,,......,,,***+++******))))))******+++))))))((('''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&'''((((((''''''''''''''''''''''''%%%%%%&&&'''''''''''''''&&&&&&&&&'''''''''((((((&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%'''''''''&&&$$$###%%%%%%&&&'''''''''''''''&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&'''((('''&&&&&&&&&&&&&&&&&&'''%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''###$$$%%%&&&((((((''''''&&&&&&''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$!!!###%%%&&&%%%%%%&&&(((%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''&&&&&&%%%&&&&&&'''(((((('''&&&%%%$$$$$$%%%&&&'''&&&&&&''''''((('''''''''''''''''''''''''''''''''(((''''''&&&'''((()))***&&&'''(((((((((((('''&&&((((((((('''''''''''''''&&&''''''((((((''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''$$$$$$%%%%%%&&&''''''(((%%%&&&'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((('''&&&&&&%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((())))))))))))************(((((()))+++,,,,,,)))'''))))))******+++++++++,,,************)))))))))))),,,+++***************+++************************)))******,,,---.../////////...,,,***)))))))))***,,,,,,++++++,,,------.........------------......------,,,++++++++++++,,,------,,,,,,,,,,,,,,,---------------------------,,,,,,+++,,,,,,---...///---,,,,,,,,,------...///+++++++++++++++++++++,,,,,,,,,+++***************.........---------,,,,,,++++++******+++,,,------************************+++++++++,,,,,,---------((())))))*********))))))))))))******++++++++++++''''''''''''((()))***++++++*********))))))(((((('''((((((((())))))******''''''''''''((((((((())))))((('''((()))******((((((***,,,---------+++***---,,,***)))***+++***))),,,+++***))))))******++++++*********))))))(((((()))******+++,,,,,,---------------.........//////---...///000000111111111///000111222333444555555444444444555555555666666777777666555555555555666444555555555555555555555444555555666666666666666777777777777666555444333222222222222222222222222111111111111111111111111.........///////////////........................***,,,---,,,+++*********++++++++++++++++++++++++***)))((()))+++,,,,,,,,,++++++************++++++++++++***)))))))))))))))((((((((((((((((((((((((************************&&&&&&&&&&&&&&&'''((((((''''''''''''''''''''''''$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&'''''''''((((((&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''%%%###"""%%%&&&&&&'''((((((((('''&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&'''((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''%%%$$$%%%''')))***(((&&&'''''''''''''''&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&'''((('''%%%#########%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%&&&''')))***&&&''''''''''''''''''&&&%%%%%%&&&'''((((((((('''''''''''''''''''''''''''((('''&&&&&&'''((()))***&&&'''((())))))((('''&&&((((((''''''&&&&&&&&&%%%&&&''''''''''''''''''&&&%%%%%%&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((&&&'''((())))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((('''&&&%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&******))))))((((((''''''(((((((((((())))))))))))))))))---333333---))))))000,,,'''###"""%%%***---)))************+++++++++---------,,,,,,+++++++++,,,+++++++++***)))))))))***++++++***))))))***,,,+++***)))))))))***+++,,,)))))))))***---000444666.........------,,,,,,,,,++++++,,,,,,,,,,,,---------------,,,,,,+++++++++---.........---,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,///...,,,++++++,,,---///---------,,,,,,+++++++++************************++++++++++++++++++++++++***+++---......---+++***++++++++++++++++++++++++)))***,,,---...------,,,******************************))))))((((((''''''))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''(((((((((((())))))************))))))((()))***+++***)))&&&%%%***++++++,,,+++***)))(((((((((''')))******)))'''(((((((((((())))))))))))((((((((((((''''''''''''(((((()))***++++++,,,,,,---------............///000000000000000111111111333222111111111222333444333333333444555666777888888888777777666666555555333333333444444444555555666666555555555555666666888777777666555444444333333333333222222222111111///000111111111000...---////////////....................................------,,,,,,,,,,,,++++++,,,,,,,,,++++++*********))))))))))))))))))))))))))))))))))))))))))))))))******)))(((((((((((((((+++***((('''&&&&&&&&&'''&&&&&&&&&'''''''''((((((((((((((('''&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$""" %%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''((()))******)))((('''%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%%%%%%%&&&'''''''''&&&%%%%%%%%%%%%&&&&&&'''''''''%%%""" ((((((((((((((((((((((((&&&&&&''''''(((((())))))'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%))))))((((((''''''''''''((('''&&&%%%%%%&&&'''((('''((()))))))))(((&&&%%% !!!###%%%&&&(((((()))&&&&&&%%%%%%%%%%%%&&&&&&((((((((((((((((((((((((******))))))((((((''''''((()))***+++***)))&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''(((%%%%%%&&&'''&&&%%%###"""%%%&&&''''''((((((''''''''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''&&&%%%$$$###''''''''''''''''''''''''((((((((((((''''''''''''&&&&&&&&&&&&''''''''''''***+++000666666000+++***+++)))'''&&&&&&(((***,,,))))))*********+++++++++++++++++++++******))))))++++++*********************++++++***))))))***,,,,,,,,,***))))))***+++,,,,,,,,,++++++,,,...111222......---------,,,,,,,,,+++++++++,,,,,,,,,------------------,,,,,,++++++------......---,,,,,,+++------------------------------,,,+++++++++,,,---,,,,,,,,,++++++*********++++++++++++++++++++++++++++++++++++++++++++++++((()))************)))(((++++++++++++++++++++++++)))***+++,,,,,,,,,+++******************************)))))))))((((((((('''(((((((((((((((((((((((())))))))))))))))))))))))******))))))((((((((('''))))))************))))))((()))*********)))((('''***++++++++++++***)))(((''''''&&&'''))))))((('''(((((((((((())))))))))))(((((((((((((((((((((((((((((())))))******++++++------------............//////000000000000111111222222111111111222333444444333333333333444444555666666666666555555555444333333444444444555555555666666555555555555666666777666666555444444333333333333222222222111111111///000000111000///...---////////////....................................------,,,,,,,,,+++++++++,,,+++++++++************************************))))))))))))))))))))))))***)))((((((((('''((((((,,,+++)))(((''''''((((((&&&&&&&&&'''''''''((((((''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((('''&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%%%%&&&''''''''''''&&&%%%%%%%%%%%%&&&$$$%%%&&&'''&&&%%%###"""''''''''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%(((((((((''''''&&&&&&&&&((('''&&&&&&&&&&&&'''((('''(((((()))((('''&&&%%%"""###$$$&&&'''((((((((((((((((((''''''(((((((((''''''''''''''''''''''''((((((((('''''''''&&&&&&%%%&&&'''))))))(((&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''%%%&&&&&&&&&%%%%%%$$$###%%%&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&&&&'''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''******///555555///******&&&'''(((***++++++***))))))))))))*********++++++))))))))))))(((((((((((())))))*********************++++++***))))))***,,,...---,,,+++******++++++///...---,,,,,,,,,---...------------,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,...---------------,,,,,,---------------,,,,,,+++........................+++++++++++++++,,,,,,,,,++++++***************))),,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*********+++******)))(((************************))))))))))))(((((((((((('''''''''''''''''''''''')))))))))))))))))))))))),,,,,,+++***)))(((''''''((())))))******))))))((())))))))))))******************++++++******)))(((((('''&&&''')))***)))((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))******,,,,,,,,,---------......////////////000000111111222111111111111222333333444444333222222222222222555555555555444444444444333444444444444555555555666666555555555555666666666666555555444444333333333222222222222111111111///000000000000///...---/////////............---------------------------,,,,,,,,,,,,++++++++++++++++++++++++************++++++++++++++++++++++++)))))))))))))))))))))))))))((((((((('''''''''''',,,+++***)))(((((())))))&&&&&&&&&'''''''''''''''&&&&&&&&&&&&''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''''''''&&&%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%%%%&&&''''''''''''&&&%%%%%%%%%%%%&&&###$$$%%%'''(((''''''&&&''''''''''''''''''''''''((((((((('''''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%((('''&&&&&&&&&&&&'''((('''(((((((((((('''&&&&&&$$$%%%&&&'''(((((((((((((((((((((((((((((((((((('''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&"""###$$$&&&''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%&&&'''((())))))(((''''''''''''''''''''''''&&&&&&&&&''''''((((((((((((((((((((()))))))))))))))(((***//////***((()))&&&'''***+++,,,+++)))((())))))))))))************(((((((((((((((((((((((((((((())))))******++++++)))***+++***))))))+++---000///---+++******++++++......---,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***++++++++++++,,,,,,,,,------------------------,,,,,,---------,,,,,,+++------------------------***+++,,,---------,,,,,,++++++++++++************,,,,,,,,,,,,,,,,,,,,,,,,************************---,,,,,,++++++,,,,,,---************************+++++++++******))))))(((************************))))))))))))(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))++++++***))))))(((''''''(((((())))))))))))(((((()))))))))))))))***+++,,,******************)))))))))((('''(((***++++++***(((((((((((())))))))))))))))))))))))*********************************)))+++,,,,,,,,,---------------......//////000000000111111111111111222222333333333222222222222333333555555555555555555555555444444444444555555555555666666555555555555666666666666666666555555444444222222222222111111111111///////////////.........//////.........---------------------------------,,,,,,,,,++++++++++++***,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++))))))))))))))))))))))))((((((((((((((('''&&&&&&*********))))))(((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''&&&%%%%%%%%%%%%&&&$$$$$$&&&'''((((((((((((''''''''''''''''''''''''(((((((((''''''&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&'''''''''((((((((('''''''''&&&&&&&&&''''''(((((((((((((((&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&"""###$$$%%%&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%$$$###$$$%%%&&&%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&''''''((())))))(((((('''''''''''''''''''''''''''''''''(((((())))))***(((((((((((())))))))))))***'''&&&))))))&&&'''************+++***)))(((((((((((()))))))))*********))))))))))))))))))))))))((((((((())))))******+++)))***+++***))))))+++---000///---+++******++++++,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*********+++++++++,,,,,,------------------------++++++,,,,,,---,,,,,,+++++++++++++++++++++++++++***+++,,,---------------+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,************************))))))(((((((((((())))))************************,,,,,,++++++************))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))(((((()))((((((((()))***+++,,,))))))))))))))))))******(((&&&%%%&&&(((*********(((((((((((())))))))))))((()))))))))*********++++++++++++++++++*********++++++++++++,,,,,,,,,---,,,------...//////000000000000111111222222222222222222222222333444555666666666666666666666666666444444444555555555666666666666555555555555666666777777666666666666666666222222222111111111000000000//////...........................------------------------------------,,,,,,+++++++++*********,,,,,,------------------************************))))))))))))))))))))))))(((((())))))(((((('''&&&(((((((((((((((((('''''''''''''''''''''''''''&&&$$$%%%%%%%%%&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''######$$$$$$%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''((((((''''''&&&&&&%%%%%%''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''&&&(((''''''&&&&&&&&&&&&&&&'''(((((())))))(((((('''&&&&&&'''(((((('''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&%%%$$$###$$$%%%&&&'''$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((())))))(((''''''&&&''''''''''''''''''''''''((((((((()))))))))))))))&&&&&&&&&&&&'''''''''''',,,)))'''))))))'''))),,,,,,,,,+++***))))))((((((((((((((()))))))))******))))))))))))************(((((())))))))))))))))))((()))******)))***,,,---...---,,,+++******++++++******+++++++++,,,,,,,,,++++++++++++,,,,,,,,,,,,************++++++++++++++++++,,,,,,,,,,,,------***++++++,,,,,,,,,,,,,,,******************************++++++,,,,,,------,,,,,,,,,,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,************************))))))))))))))))))))))))************************,,,,,,+++*********++++++))))))))))))))))))))))))(((((((((((())))))))))))************************((((((((((((((((((((((((&&&'''''''''((((((((()))'''(((((())))))(((((('''(((((((((((())))))))))))))))))((((((((()))******%%%###"""###%%%'''(((((((((((((((((())))))))))))'''(((((())))))************************+++++++++******+++++++++,,,,,,,,,+++,,,,,,---...///000000///000111111222222111111111111222222333555666777666666666777777777777777444444555555555666666666666666555555555555666666666666666666666666666666222111111111111000000000000///......------...............------------,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++************,,,,,,,,,,,,------------))))))))))))))))))))))))))))))))))))))))))))))))((()))*********)))'''&&&''''''(((((((((((('''&&&'''''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&"""###$$$%%%&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''((((((%%%%%%%%%&&&&&&&&&''''''&&&'''(((((((((((('''&&&''''''&&&%%%%%%%%%%%%&&&(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&'''(((((('''&&&&&&((('''&&&&&&%%%%%%&&&&&&''''''((((((((((((((('''((()))***++++++***)))(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''((((((((((((((('''&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((())))))((('''&&&%%%%%%''''''''''''''''''''''''((((((((((((((((((''''''&&&&&&&&&&&&''''''''''''+++)))))),,,,,,))))))+++)))***+++++++++***)))((((((((((((((()))))))))***(((((()))))))))*********)))))))))))))))(((((((((((()))******)))***,,,...,,,,,,***))))))***+++,,,******++++++++++++************+++++++++,,,,,,,,,************++++++++++++*********+++++++++,,,,,,******+++,,,,,,,,,,,,,,,++++++++++++++++++++++++)))((((((((()))***,,,---******++++++,,,,,,,,,,,,++++++++++++++++++++++++***************************+++,,,------,,,+++*********************************)))((()))***++++++))))))))))))))))))))))))'''((((((((()))))))))***))))))))))))))))))))))))(((((((((((((((((((((((()))))))))(((((((((((((((''''''((((((((((((''''''''''''((())))))(((&&&&&&)))(((((('''((()))***+++&&&$$$"""###%%%((())))))(((((((((((())))))))))))&&&&&&'''(((((()))******''''''(((((())))))******************++++++++++++***+++,,,---...//////000...///000111222111111000222222111222222333444444555555555666666666777777555555555555666666666666666666555555555555666666444444444444444444444444111111111111000000000000000///...---------...............---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++*********************++++++,,,,,,,,,************************)))))))))))))))))))))))))))***+++,,,+++***(((''''''((())))))))))))((('''(((((('''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%&&&'''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&'''((())))))((('''&&&''''''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''&&&&&&'''(((((('''&&&&&&((('''&&&%%%%%%%%%&&&&&&%%%&&&''''''((((((((((((((()))***++++++***)))(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%''''''''''''''''''''''''(((((((((''''''&&&&&&%%%(((((((((((()))))))))***'''''')))......)))''''''%%%(((+++---...,,,***)))(((((((((((())))))))))))'''((((((((())))))************))))))((((((''''''((()))******)))***,,,...+++***)))))))))***+++,,,+++,,,,,,++++++***((((((*********++++++,,,,,,,,,)))************+++++++++))))))*********+++++++++)))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,((('''%%%%%%&&&(((***,,,))))))******++++++++++++************************))))))))))))))))))))))))&&&''')))******)))'''&&&)))))))))))))))))))))))))))(((''''''''')))***+++))))))))))))))))))))))))'''((((((((())))))******((((((((((((((((((((((((((((((((((((((((((((((((,,,,,,+++***)))(((''''''''''''((((((((((((''''''&&&'''((())))))'''%%%###)))(((''''''''')))***+++)))'''%%%%%%(((+++,,,---(((((((((((())))))))))))%%%&&&&&&'''((())))))***$$$%%%%%%&&&'''((()))))))))************+++++++++******+++,,,...//////000...///000222222111111000333222111111000111111111444444444555555555666666555555555555666666666777666666555555555555666666222222222222222222222222111111111111000000000000000///...---,,,---............---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++************)))(((((())))))*********+++++++++++++++++++++++++++)))))))))))))))))))))))))))***,,,---,,,+++)))'''((()))***++++++***)))((((((((('''''''''&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&'''((())))))((('''&&&''''''&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%&&&'''(((((('''&&&%%%((('''&&&%%%$$$%%%&&&&&&$$$%%%&&&'''((((((((((((&&&'''(((******((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&"""###%%%&&&'''&&&%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&''''''''''''''''''''''''''''''''''''))))))))))))))))))))))))''''''''''''''''''''''''))))))+++---///...+++((())))))))))))))))))))))))))))))***))))))(((''''''((((((''''''''''''(((((())))))))))))************)))***,,,,,,***)))***++++++++++++*********))))))------,,,,,,+++***))))))+++++++++++++++++++++++++++++++++*********)))))),,,+++******,,,,,,+++***......,,,++++++,,,......************************************************))))))))))))))))))))))))(((((())))))*********+++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************)))))))))))))))))))))))))))(((''''''(((((((((((())))))))))))))))))(((((('''''''''&&&&&&'''((())))))((('''&&&&&&&&&&&&''''''''''''((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((()))''''''((((((&&&%%%&&&))))))))))))))))))))))))***)))(((((()))+++---...222///,,,---///000///---///000000111111111111000222222111111222222333444111444777777444111222333555666666555333222222333777666555444444444444444444333222222111111222222444111//////000111000000222111///.........///000......---------,,,,,,,,,------------------------+++++++++************)))++++++++++++++++++++++++,,,,,,,,,+++***))))))((((((((((((((()))))))))))))))+++......,,,***))))))))))))(((((('''''''''&&&(((((())))))))))))))))))''''''''''''''''''''''''''''''(((((('''&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''((()))******%%%%%%$$$######$$$%%%%%%'''''''''&&&&&&%%%%%%%%%$$$#########$$$%%%%%%&&&(((((('''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%&&&'''((())))))''''''''''''''''''''''''%%%&&&&&&'''&&&&&&%%%%%%%%%&&&&&&&&&'''(((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''((((((''''''''''''((((((&&&&&&&&&'''''''''''''''''''''''''''&&&%%%$$$###''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''((('''%%%$$$###$$$%%%%%%((((((((((((((((((((((((''''''''''''''''''''''''((((((***,,,...---***((((((((((((((((((((((((((()))*********))))))((('''((((((''''''''''''(((((((((((()))))))))*********''')))+++***)))((())))))+++++++++*********)))))),,,,,,,,,+++***)))))))))+++++++++++++++++++++++++++++++++*********)))))),,,+++******,,,,,,+++***++++++************++++++************************************************************************(((((()))))))))*********))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))*********)))))))))(((((()))))))))))))))((('''''''''((((((((()))))))))))))))((((((((('''''''''''''''((()))******)))((('''&&&&&&&&&''''''''''''((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))((('''(((***))))))))))))))))))))))))***)))(((((()))***,,,...000...,,,,,,...///...---//////000111111111000000222222111111222222333333333444666555444444444555111333444444444444555777666555555444333333444444555444333333222222333333555222000000111222222111111111///.........///000//////.........---------------------------------+++++++++************)))++++++++++++++++++++++++,,,++++++***))))))((((((((((((((()))))))))******)))+++---...,,,***)))))))))((((((((('''''''''''')))((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''((((((&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$######$$$%%%%%%&&&((('''''''''&&&&&&&&&&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''(((''''''''''''''''''((('''''''''''''''&&&&&&&&&&&&&&&'''((((((((((((''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%((((((((((((((((((((((((''''''''''''''''''''''''''''''(((***,,,,,,)))'''(((((((((((((((((((((((()))))))))***))))))((('''((((((''''''''''''(((((((((((())))))))))))******&&&((())))))(((''''''(((+++************)))))))))++++++******))))))((((((+++++++++++++++++++++++++++************)))))))))---,,,******++++++***(((******++++++++++++******************************************************++++++++++++++++++++++++(((((())))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''''''''''''''((((((((((((((((((((((((******))))))))))))(((((((((((()))))))))(((''''''''''''((((((((()))))))))((((((((((((''''''''''''((())))))******))))))(((&&&&&&&&&''''''''''''((('''(((((())))))(((((('''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''***,,,***((((((***,,,))))))))))))))))))))))))***)))(((((()))***,,,---...,,,++++++---...---,,,......///000000000000000111111222222222333333333555444555666888888777666111333444444444444555777555444444333333333333333666555444444333333444444555333111000222222222222111000//////......//////////////////............------------------------+++++++++************)))************************+++******))))))((((((''')))))))))*********++++++)))+++------+++)))))))))((((((((((((''''''''''''((((((((('''''''''&&&&&&''''''''''''''''''''''''&&&''''''''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&''''''''''''&&&&&&&&&&&&((((((((((((''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''(((((('''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''&&&&&&%%%%%%%%%&&&''')))***+++++++++(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&%%%%%%$$$((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&''')))******(((&&&((((((((((((((((((((((((''''''((((((((((((''''''((((((''''''''''''(((((((((((((((((()))))))))***&&&(((***)))((('''((((((************))))))))))))******))))))((((((((('''************************************))))))))))))---,,,******++++++)))(((***+++,,,------,,,+++***************************************************************************(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((***)))))))))(((((((((((('''((((((((((((((('''''''''''''''((((((((())))))((((((((((((((('''''''''(((((())))))))))))((((((&&&&&&&&&''''''''''''((('''(((((((((((((((((('''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((%%%***---)))&&&''')))***)))))))))))))))))))))))))))))))))((()))***+++,,,,,,+++******+++,,,,,,,,,------...///000000000000111111222222333333333333444444666:::>>>>>>:::666555666666555333222222333444333333222222222333333555555444333333333333333555333111000111222222111000000//////........................------------,,,,,,,,,,,,,,,,,,,,,,,,+++++++++*********))))))))))))))))))))))))))))))***)))))))))(((((('''''')))*********++++++++++++)))***,,,+++***(((((()))((((((((((((((('''''''''((((((((('''&&&&&&%%%%%%''''''''''''''''''''''''&&&&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''%%%&&&&&&&&&&&&&&&&&&%%%(((((('''&&&&&&%%%$$$$$$$$$%%%'''(((***+++++++++((((((((('''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''))))))(((&&&''''''''''''''''''''''''%%%%%%&&&&&&'''&&&&&&%%%((((((''''''''''''(((((('''(((((((((((()))))))))''')))******)))(((((())))))))))))))))))))))))))))))))))))(((((((((((((((************************)))))))))))))))))))))))),,,+++)))***++++++)))((()))***,,,,,,,,,,,,***)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((()))))))))(((((((((((('''''''''((((((((((((''''''''''''''''''(((((((((((('''''''''(((((((((((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''''''((((((((((((''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((($$$***,,,'''%%%''')))'''))))))))))))))))))))))))))))))))))))))))))*********************+++,,,---,,,,,,---//////000000000000111222333333333222222222444999???CCCBBB;;;444555666666555333222222333333333222222222333333444444333333222222222222222444222//////000111111000///////////////......------------,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++*********))))))))))))))))))))))))))))))))))))))))))(((((((((((()))*********++++++++++++(((***+++***)))'''((()))'''''''''(((((((((((((((((((((''''''&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''((((((((((((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''%%%%%%&&&''''''&&&%%%%%%(((((('''&&&%%%$$$$$$###%%%&&&''''''((((((((('''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%''''''((('''&&&%%%'''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&'''))))))(((&&&''''''''''''''''''''''''$$$%%%&&&&&&&&&&&&&&&&&&((((((''''''''''''((((((''''''(((((((((((())))))''')))+++***)))((())))))(((((()))))))))))))))***))))))))))))((((((((((((************************(((((()))))))))))))))***+++)))((()))***+++***)))(((((())))))))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((())))))((((((((((((''''''((((((((((((((((((((((((((((((((((((((((((((((((************************(((((((((((((((((((((((())))))((((((((((((''''''&&&&&&'''(((((((((''''''&&&&&&'''''''''((((((((('''''''''((((((((((((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''''''''(((&&&''''''((((((''''''&&&((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((%%%******&&&'''---...))))))))))))))))))))))))))))))))))))))))))))))))))))))***+++*********,,,...++++++---...////////////000111222333444333222222///333:::@@@CCC???999333111333444444444444555777333333333333333444444555333333222111111111111222333111///...///000000000...////////////...------,,,,,,,,,,,,+++++++++***,,,,,,,,,,,,,,,,,,,,,,,,+++++++++************)))************************)))))))))))))))))))))))))))))))))*********++++++((()))***)))''''''''')))'''''''''(((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''$$$%%%%%%&&&&&&&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$###''''''''''''''''''''''''%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$%%%&&&((()))''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&&&&'''%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%''''''&&&&&&%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&%%%$$$''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&'''((()))((('''''''''''''''''''''''''''%%%&&&'''(((((((((((('''((((((''''''''''''(((((('''''''''((((((((())))))&&&((())))))(((''''''((((((((((((((())))))******))))))))))))))))))))))))************************(((((((((((())))))******)))(((''')))+++,,,+++***(((((((((''''''((((((((())))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((())))))((((((((('''''''''(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((('''''''''%%%&&&''''''((((((''''''&&&&&&&&&'''''''''((((((''''''''''''((((((((()))((('''&&&&&&&&&&&&'''(((&&&&&&&&&''''''''''''(((&&&''''''((((((''''''&&&((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((%%%******'''...888888///))))))))))))))))))))))))((()))))))))))))))(((((((((***++++++******,,,///***+++,,,---...////////////111222444444333222111---222999<<<<<<999555333111333444444444444555777444444333333444555555666444444333222222222222333444222000///000111111000....../////////...---,,,------,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++************)))++++++++++++++++++++++++************************((((((((()))))))))******((())))))((('''&&&''')))''''''''''''((((((((()))&&&''''''(((((())))))***''''''''''''''''''''''''###$$$%%%&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&&&&''''''$$$$$$%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""###$$$&&&(((&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''%%%&&&((())))))(((&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&'''((((((''''''''''''''''''''''''''''''''''''''''''''''''((('''&&&''')))))))))(((''''''''''''''''''''''''''''''((()))******))))))((((((''''''''''''((((((''''''''''''((((((((()))%%%'''(((((('''&&&&&&''''''((((((((())))))******))))))))))))************))))))))))))))))))))))))'''((((((((())))))******(((''''''(((+++,,,,,,++++++***)))(((((()))***+++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((('''''''''&&&((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((************************)))(((((((((''''''''''''%%%%%%&&&'''((((((((('''&&&&&&&&&'''''''''((((((&&&'''''''''(((((()))))))))((('''&&&&&&'''((()))&&&&&&&&&'''''''''((((((&&&''''''''''''''''''&&&((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((&&&******)))333@@@@@@666))))))))))))))))))))))))((()))))))))))))))((('''(((***,,,+++******---000)))***,,,---...////////////111222444444333222111---111777888666333333444555666666555333222222333444444444444444555666777555555444333333333333444555333111000111222222222---.../////////...,,,,,,......---------,,,,,,,,,+++++++++++++++++++++++++++++++++************)))++++++++++++++++++++++++***************+++++++++(((((((((((())))))))))))((())))))(((&&&&&&''')))&&&'''''''''(((((())))))&&&&&&'''((()))***++++++''''''''''''''''''''''''###$$$%%%%%%&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&""""""###$$$%%%%%%&&&&&&%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&'''''''''((('''&&&%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%"""!!! !!!###%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''''''''######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''&&&''')))******)))'''&&&%%%%%%%%%%%%%%%%%%%%%&&&$$$%%%%%%&&&''''''&&&&&&$$$%%%%%%&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&(((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%&&&'''((()))'''''''''&&&&&&%%%%%%%%%))))))******)))(((''''''))))))))))))((((((((((((''''''''''''''''''''''''$$$%%%&&&((())))))******)))((((((''''''''''''(((((('''&&&%%%&&&''')))+++******)))((((((((((((((('''((((((((()))))))))***((((((((()))(((((('''&&&((((((((((((''''''''''''+++*********))))))((((((***((('''(((+++,,,+++)))(((((())))))((('''&&&&&&*********))))))))))))))))))((('''&&&&&&'''(((((())))))))))))))))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((((((((((((((+++******)))(((''''''&&&$$$&&&)))***)))))))))***'''&&&)))+++)))###"""%%%''''''&&&&&&&&&&&&''''''&&&'''((('''&&&&&&&&&(((((((((((((((((((((((((((''''''((((((((((((''''''(((''''''''''''((())))))''''''&&&&&&&&&&&&''''''''''''''''''(((((((((((('''''''''&&&$$$%%%''')))(((((((((((((((((((((((()))%%%***999BBB===444...))))))))))))************))))))************)))))))))+++,,,,,,+++***,,,---++++++,,,------......///000000000000111111111111222222222222222222222222111111222222222333333333777777888888999999::::::333444444555555444444333444444333222111000///...//////......---------,,,------------------------*********++++++,,,,,,,,,++++++++++++++++++++++++)))))))))))))))))))))))))))))))))))))))))))))))))))((('''&&&'''(((***,,,******)))((((((((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$&&&)))******&&&''''''&&&%%%$$$%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&######%%%&&&&&&%%%######(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%(((((('''&&&%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$###%%%%%%%%%&&&&&&'''''''''((('''&&&%%%$$$%%%%%%&&&(((''''''&&&&&&%%%%%%$$$(((((('''&&&%%%%%%$$$$$$&&&&&&&&&''''''(((((((((&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&'''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$''''''&&&&&&&&&%%%%%%%%%$$$%%%'''(((((('''%%%$$$(((((('''&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&'''((('''''''''&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''(((((((((''''''&&&&&&&&&'''((((((((((((((('''&&&((((((((('''''''''''''''''''''''''''''''''''''''%%%&&&'''(((((())))))((((((((('''''''''(((((()))***)))((('''((()))+++,,,+++***))))))((((((((()))((((((((((((((((((((((((&&&'''''''''(((((())))))*********)))))))))((((((*********)))))))))((((((***((('''(((***,,,***)))((((((((((((((('''&&&&&&((((((((())))))******+++((((((''''''(((***+++---))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))((((((((('''))))))))))))))))))))))))******))))))(((''''''&&&'''((())))))((()))+++------***)))***)))&&&&&&)))''''''&&&&&&&&&&&&'''''''''((()))((('''&&&''')))''''''''''''''''''''''''''''''((((((((((((''''''&&&%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&&&&''''''''''''''''''(((((((((((((((((()))(((&&&&&&''')))'''''''''''''''''''''''',,,))),,,777>>>:::111,,,((((((((()))))))))******))))))************)))))))))***,,,+++******+++---++++++,,,,,,---.........//////000000000111111111222222222222222222222222222222333333333444444444444444444444555555555555333333444444444444333333444333333222111000///.../////////.........------------------------------++++++++++++,,,,,,,,,,,,++++++++++++++++++++++++************************)))))))))))))))))))))))))))((('''''''''(((***+++***))))))((((((((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&***((('''&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&(((''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&%%%%%%$$$$$$$$$'''''''''(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%))))))))))))))))))((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&((('''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''''''''&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''((((((((((((((('''''''''''''''((()))))))))((((((&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&''''''((((((((('''''''''''''''''''''((()))******)))((((((((()))***+++******)))(((((((((((()))))))))((((((((((((((((((&&&&&&&&&&&&''')))+++,,,++++++++++++******************))))))))))))(((((()))((('''(((***+++***)))(((((((((((((((''''''&&&&&&&&&'''((()))***++++++******))))))***+++,,,,,,))))))))))))))))))))))))(((((((((((()))))))))))))))))))))(((((((((''''''))))))))))))))))))))))))***))))))((((((''''''''')))))))))((((((+++000333DDD<<<555222...((('''(((''''''&&&&&&&&&&&&''''''''')))***)))((('''((()))&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''&&&%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&&&&''''''&&&''''''''''''((((((((()))***+++***)))''''''(((''''''''''''''''''''''''***&&&(((///333000)))%%%'''''''''(((((((((((()))((())))))******))))))((((((***++++++******+++,,,++++++,,,,,,------......//////000000000000111111222222222222222222222222333333333333444444444555666666666555555555555555333333444444444444333333333333222111000//////...///////////////.........------------------------------,,,,,,,,,,,,,,,+++++++++++++++++++++++++++++++++++++++++++++++++++))))))))))))))))))))))))))))))(((''''''(((***+++))))))((((((''''''(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((((((''''''%%%$$$$$$&&&$$$$$$%%%((()))&&&###%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''&&&%%%%%%%%%&&&&&&######$$$$$$%%%&&&&&&''''''''''''&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&((((((''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%%%%$$$$$$((((((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%***************)))((('''######$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''(((((('''''''''''''''''''''((()))***************&&&&&&''''''''''''(((((('''''''''''''''''''''''''''(((((((((''''''&&&%%%&&&&&&&&&'''''')))******''''''&&&&&&&&&''''''((((((((('''''''''''''''((('''''''''((((((((())))))((('''&&&%%%&&&(((***,,,+++++++++*********))))))))))))))))))))))))(((((()))((((((((())))))))))))'''((((((((((((((('''''''''''''''(((((()))))))))...---,,,+++)))(((((('''))))))))))))))))))))))))(((((((((((())))))))))))))))))((((((((('''''''''(((((((((((((((((((((((())))))(((((((((''''''''')))((('''&&&(((---444999IIIAAA999666111+++&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&((()))((('''&&&''')))&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&(((''''''''''''((())))))''''''&&&&&&&&&&&&''''''&&&&&&&&&'''''''''(((((()))+++,,,,,,***((((((((('''''''''''''''''''''''''''%%%&&&)))+++)))&&&###&&&&&&&&&'''''''''(((((((((((())))))))))))((((((((()))******))))))***,,,***++++++,,,------......////////////000000000111111111111111222222222222222222222333333333444444666666666555555444444444333333333444444333333333333222222111000/////////////////////////////////,,,,,,,,,,,,,,,,,,,,,,,,...---------,,,,,,++++++************************++++++++++++++++++++++++))))))))))))))))))))))))))))))(((((((((((()))***)))(((((('''''''''(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ###%%%'''((((((((()))---((($$$$$$''')))'''###%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%$$$###""""""###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&#########$$$$$$%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%(((((((((((('''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######'''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%&&&&&&''''''((($$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''((((((''''''&&&%%%$$$######$$$%%%&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))))))))''''''((((((((()))))))))''''''''''''''''''''''''(((((((((((('''&&&%%%$$$&&&&&&&&&'''''')))******''''''&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%&&&&&&'''$$$%%%&&&'''((()))***+++***)))'''&&&%%%'''(((******))))))))))))((((((((((((((((((((((((((())))))((()))))))))((((((((((((''''''(((((((((((((((''')))(((((((((''''''&&&&&&,,,++++++***((('''&&&%%%(((((((((((((((((((((((('''((((((((()))))))))***((((((((((((''''''''''''''''''''''''''''''''''''(((((((((((('''''''''''''''&&&&&&&&&(((...666<<<222//////111000+++((((((&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&''''''%%%%%%&&&'''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&(((''''''''''''((())))))''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''(((***,,,,,,***((((((((('''''''''''''''''''''''''''))))))******+++***)))&&&&&&&&&&&&''''''''''''(((((())))))))))))((((((''')))******)))(((***+++******++++++,,,------......////////////000000000000000000111111222222222000111111111222222222222222222222111000000000///222333333333333333333222222111111000000/////////.........///////////////,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++++++++************************++++++++++++++++++++++++))))))))))))))))))))))))))))))((((((((((((((()))((((((''''''''''''(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& $$$''''''(((***,,,444---%%%###%%%((('''%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&%%%%%%$$$###"""!!!!!!"""###$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###$$$%%%%%%&&&'''((())))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%''''''(((((()))*********'''''''''''''''''''''''''''''''''''''''&&&%%%$$$'''''''''''''''((()))***)))))))))(((((((((((('''&&&%%%%%%%%%%%%&&&''''''$$$$$$%%%&&&((()))*********)))((('''&&&''''''((((((((((((((('''''''''&&&''''''(((((((((((())))))((()))***)))'''&&&'''(((&&&'''(((((((((((((((((())))))((('''&&&%%%$$$$$$%%%&&&'''(((((((((((((((((((((((((((((((((((((((''''''(((((())))))******((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&''')))---333777***+++///333000)))&&&'''&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%&&&&&&%%%$$$%%%&&&((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&&&&''''''%%%&&&&&&&&&&&&'''''''''&&&((())))))((('''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%)))***((((((***+++***&&&&&&&&&''''''''''''((('''(((((())))))(((((('''&&&((())))))(((((()))*********++++++,,,,,,------......////////////000000//////000000111222222222000000000000111111111111222222222222222111111111222222333333333333222222111111000000000/////////---------...............,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++***************************++++++++++++++++++++++++))))))))))))))))))))))))))))))))))))((((((((((((''''''&&&&&&''''''(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ###&&&'''%%%%%%'''***444...'''###$$$&&&''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%'''&&&&&&&&&&&&%%%%%%%%%$$$%%%&&&'''''''''&&&&&&'''&&&&&&%%%$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&''''''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&'''''''''(((&&&&&&&&&&&&&&&&&&%%%$$$&&&&&&''''''((())))))***''''''''''''''''''''''''&&&&&&'''''''''&&&%%%%%%(((((('''''''''(((((()))((()))))))))(((((('''&&&'''&&&&&&&&&''''''((()))&&&&&&&&&''''''''''''(((''''''''''''((((((((((((((((((((('''''''''&&&&&&'''''''''((((((((())))))''')))***)))'''%%%'''(((&&&&&&'''((((((((((((((((((''''''&&&&&&%%%%%%%%%$$$%%%&&&((()))))))))((((((((((((((((((((((((((('''''''''((()))*********(((((('''''''''&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&''')))))))))***,,,...---000666777000&&&$$$'''&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&'''&&&%%%%%%&&&'''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''$$$%%%&&&&&&%%%&&&''')))&&&&&&&&&&&&&&&&&&&&&&&&"""(((+++'''$$$''')))(((&&&''''''''''''(((((((((''''''((((((((((((''''''&&&''')))(((''''''(((************+++,,,,,,------........./////////000000/////////000111222222222000000111111111222222222333444444444444444444555222222333333333333222222000000000000////////////,,,,,,,,,,,,---------...++++++++++++++++++++++++)))******************+++************************************************)))))))))))))))))))))))))))))))))))))))((('''''''''&&&&&&&&&&&&'''((()))(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&"""%%%'''&&&###"""%%%))),,,***(((%%%%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&''''''&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%$$$$$$''''''&&&&&&&&&%%%%%%%%%$$$%%%&&&'''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%$$$%%%%%%&&&&&&'''''''''###$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((((((((''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&'''''''''(((((()))))))))*********)))(((''''''%%%%%%&&&&&&'''((())))))''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%)))(((((('''''''''((((((&&&'''''''''&&&%%%$$$$$$((((((((((((((()))******))))))((('''&&&&&&%%%%%%$$$%%%'''((())))))))))))((((((((((((''''''''''''&&&'''''''''(((((())))))''')))+++)))&&&%%%&&&(((&&&&&&'''((())))))((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''((())))))((('''&&&((((((((((((((((((((((((&&&''''''((()))******+++(((((('''''''''&&&&&&&&&((((((((((((((((((((((((&&&'''''''''''''''''''''((()))+++***((('''&&&'''&&&+++222444---%%%&&&,,,&&&%%%%%%$$$$$$%%%%%%&&&&&&'''((('''&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%(((''''''''''''((())))))'''''''''&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''###$$$$$$######$$$'''***&&&&&&&&&&&&&&&&&&&&&&&&%%%---000***''')))***)))'''''''''(((((((((((()))''''''((((((((((((''''''&&&'''((((((''''''(((***)))******+++,,,,,,------............/////////000...//////000111222222222111111222222222333333333000000000111111222222333222222222333333222222222000000000000////////////+++++++++,,,,,,---------++++++++++++++++++++++++(((((())))))*********+++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))***))))))(((''''''&&&&&&&&&&&&&&&'''((()))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&"""%%%'''%%%""""""&&&+++$$$&&&''''''&&&%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%''''''''''''%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$###'''''''''&&&&&&%%%%%%%%%###$$$&&&'''((('''&&&&&&$$$%%%%%%&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&(((((((((''''''&&&&&&&&&&&&&&&&&&'''''''''((((((%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&######%%%&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%$$$%%%'''(((((('''%%%$$$"""###$$$%%%'''((()))***######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######%%%&&&'''(((((((((&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&'''(((%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&'''(((((('''''''''&&&&&&&&&&&&&&&''''''''''''&&&&&&))))))))))))))))))))))))%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&&&&''''''''''''''''''''''''''''''(((((((((((((((((((((((()))((('''&&&%%%&&&&&&'''&&&&&&&&&''''''''''''((((((((((((((((((((((((((('''(((((())))))))))))(((''''''''''''((((((((((((((((((((((((((('''''''''))))))))))))))))))))))))(((((((((((())))))))))))(((((())))))))))))(((((((((((('''''''''&&&&&&&&&'''(((((((((((((((''''''&&&'''((())))))((('''&&&&&&'''''''''&&&&&&((()))+++;;;AAA444'''%%%(((((('''''''''&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&''''''((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%&&&((()))((('''&&&&&&&&&&&&%%%%%%$$$###''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''''''''&&&%%%%%%'''((()))''''''''''''''''''''''''''''''(((((('''&&&%%%%%%(((((((((((())))))))))))***))))))(((((((((((())),,,+++*********+++,,,------...//////////////////------......//////000000111000///...............000000000000000111111111222222222222222222222222000000000000///////////////...,,,+++***+++,,,,,,,,,,,,,,,++++++*********+++)))(((((()))******)))))))))))))))))))))))))))))))))))))))))))))))))))***)))(((&&&&&&&&&'''(((&&&&&&&&&''''''''''''(((''''''((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((('''&&&%%%$$$$$$###'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%+++***(((&&&%%%&&&'''(((&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%$$$###"""!!!&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&%%%$$$###"""$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&%%%&&&''''''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&''''''((('''''''''&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&((((((((((((((((((((((((%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''')))((('''&&&%%%&&&&&&'''&&&&&&&&&''''''''''''((((((((((((((((((((((((((((((((()))))))))(((((('''''''''''''''((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((&&&''''''''''''((((((((((((((((((((((((((((((((((((((('''''''''&&&&&&&&&''''''((((((((((((''''''''''''(((((((((''''''&&&&&&'''''''''&&&&&&((()))+++444555***###%%%'''$$$''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$###"""###%%%&&&%%%$$$%%%%%%&&&&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((''''''''''''''''''''''''''''''(((((('''&&&&&&%%%&&&&&&&&&&&&''''''''''''))))))(((((((((((())))))++++++*********+++,,,---,,,------............---.............../////////000///...------------...000000000000000111111111222222222222222222222222000000000/////////......---,,,+++*********++++++,,,,,,,,,+++++++++******+++***((((((*********)))))))))))))))))))))))))))))))))))))))))))))))))))))))))((('''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&''''''&&&&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%((('''&&&$$$$$$%%%&&&'''(((((('''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$"""!!!!!!$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%$$$$$$%%%%%%&&&'''&&&$$$$$$%%%'''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&''''''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&&&&&&&&&&'''&&&&&&&&&''''''''''''((((((((((((((((((((((((((())))))))))))(((((('''&&&''''''''''''((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((%%%%%%&&&&&&&&&'''''''''(((((('''&&&&&&'''(((((('''''''''''''''&&&&&&&&&''''''((((((((((((((('''(((((('''&&&%%%%%%&&&&&&&&&'''''''''&&&&&&((()))000222...%%%$$$***+++&&&'''&&&&&&&&&&&&%%%%%%%%%(((((('''&&&&&&%%%$$$$$$'''(((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%'''((('''&&&$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''(((((('''''''''''''''''''''''''''''''''''''''(((''''''&&&%%%&&&&&&&&&&&&''''''''''''(((((('''(((((()))***++++++************+++,,,,,,++++++,,,---------------..................------...------,,,,,,,,,,,,---/////////000000111111111222222222222222222222222/////////.........------,,,++++++************+++,,,,,,,,,++++++++++++***+++***((((((***+++***)))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((''''''&&&&&&&&&&&&''''''''''''(((%%%&&&&&&&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))(((((('''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%$$$#########$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%$$$$$$###"""!!!$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&$$$######&&&((())))))%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&''''''''''''((((((((((((((((((((((((((())))))))))))((('''&&&%%%''''''''''''((((((((((((&&&&&&'''''''''''''''(((((((((((((((((((((((((((%%%&&&&&&&&&&&&'''''''''((('''&&&&&&&&&&&&'''(((''''''''''''''''''''''''&&&'''(((((((((((((((((()))(((&&&%%%$$$$$$%%%&&&%%%'''''''''&&&&&&''')))111222...((('''******&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%''''''((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&'''((()))((('''$$$$$$%%%&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%$$$%%%'''((((((((('''&&&''''''''''''''''''''''''&&&'''''''''''''''&&&&&&(((((((((((())))))))))))''''''''''''((()))++++++***************++++++,,,***+++,,,------...------///......------,,,,,,,,,,,,,,,+++++++++++++++,,,......//////000111111111111111111111111111111111///.........------------,,,,,,++++++++++++++++++++++++++++++++++++++++++,,,***))))))***++++++***))))))))))))))))))))))))))))))))))))))))))))))))&&&'''((())))))((('''&&&&&&&&&&&&''''''''''''(((&&&&&&''''''&&&&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''%%%&&&&&&&&&&&&&&&&&&%%%''''''''''''''''''''''''((((((((('''&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''######""""""###$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&''''''(((%%%######%%%'''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''''''''&&&&&&&&&''''''''''''((((((((((((((((((((((((((())))))))))))(((&&&%%%%%%''''''''''''((((((((((((%%%&&&&&&&&&''''''((((((''''''''''''''''''''''''&&&&&&'''''''''(((((((((''''''&&&&&&&&&&&&''''''&&&'''''''''''''''''''''&&&&&&'''(((((((((((((((((('''&&&$$$$$$%%%%%%&&&%%%'''''''''&&&&&&''')))***///111,,,'''$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$#########%%%&&&%%%$$$$$$%%%&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%$$$%%%'''((((((((('''&&&''''''''''''''''''''''''&&&&&&'''''''''''''''&&&(((((((((((())))))))))))''''''''''''((()))++++++))))))******++++++++++++++++++,,,....../////////......------,,,,,,++++++++++++*********++++++,,,---......///000000111111111111111111111111111111///.........------------,,,,,,------------------++++++++++++++++++++++++,,,***))))))***++++++***))))))))))))))))))))))))((((((((((((((((((((((((&&&'''((())))))((('''&&&&&&&&&&&&''''''''''''(((((((((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&'''''''''%%%%%%&&&''''''&&&%%%%%%''''''''''''''''''''''''&&&'''''''''&&&%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''#########$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((***(((%%%###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))''''''''''''''''''''''''((((((((((((((((((((((((%%%&&&''''''((('''''''''&&&&&&&&&''''''''''''(((((((((((((((((((((((((((((((((((((((''''''&&&%%%''''''''''''((((((((((((%%%%%%%%%&&&''''''((((((''''''''''''''''''''''''&&&''''''''''''(((((((((&&&'''(((((((((((('''&&&&&&&&&&&&'''''''''''''''%%%&&&'''((())))))))))))''''''&&&&&&&&&&&&''''''&&&'''''''''&&&&&&((()))'''///666444+++$$$###%%%%%%%%%%%%&&&&&&&&&&&&'''$$$$$$%%%%%%&&&'''((((((&&&''''''''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%&&&'''&&&%%%%%%&&&&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''((((((''''''''''''''''''''''''''''''%%%&&&''''''((('''''''''&&&&&&&&&&&&''''''''''''(((((('''(((((()))***+++((()))******++++++*********+++,,,...////////////,,,,,,,,,,,,,,,,,,+++++++++************++++++,,,------...///000000111111111111111111111111111111/////////.........------,,,------............---***++++++++++++,,,,,,,,,,,,+++))))))+++,,,+++***))))))))))))))))))))))))((((((((((((((((((((((((&&&'''((((((((((((((((((&&&&&&&&&''''''''''''(((((())))))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''$$$%%%&&&''''''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''(((+++(((&&&$$$%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&((())))))''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%'''(((((((((''''''&&&&&&&&&''''''''''''((((((((((((((((((((((((((('''''''''(((''''''&&&&&&''''''''''''(((((((((((($$$$$$%%%&&&&&&'''((((((''''''''''''''''''''''''%%%%%%&&&&&&&&&'''''''''&&&''')))******)))'''&&&&&&&&&&&&'''''''''((((((%%%&&&'''((())))))))))))%%%&&&''''''((((((((((((&&&'''''''''&&&&&&((()))(((///666666...''''''***%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&''')))***)))(((''''''''''''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((''''''''''''''''''''''''%%%&&&&&&'''((((((''''''&&&&&&&&&&&&''''''''''''))))))(((((((((((())))))'''((()))***+++******))))))***+++,,,............++++++++++++,,,,,,,,,,,,+++************+++,,,---,,,,,,---...///000111222111111111111111111111111000000000/////////......+++,,,---.........------******+++++++++,,,,,,,,,---+++******+++,,,++++++))))))))))))))))))))))))(((((((((((((((((((((((('''''''''''''''((())))))&&&&&&&&&''''''''''''(((((((((((()))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&$$$%%%'''(((((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%'''(((((((((&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&'''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((&&&&&&&&&&&&&&&'''((((((((('''%%%%%%&&&&&&%%%###''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&''''''''''''''''''&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&'''((()))***''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((((((((''''''&&&&&&&&&'''''''''((((((((((((((((((((((((((((((&&&&&&''''''((('''''''''''''''''''''((((((((()))$$$$$$%%%%%%&&&'''((((((''''''''''''''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%'''***,,,,,,***'''%%%&&&&&&&&&'''''''''((((((%%%&&&'''((())))))))))))$$$%%%''')))******))))))&&&'''''''''&&&&&&((()))%%%)))...000+++&&&%%%(((%%%%%%%%%&&&&&&'''''''''(((''''''&&&&&&%%%%%%$$$&&&&&&''''''&&&&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$###$$$&&&'''&&&%%%'''((((((((('''&&&%%%%%%''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''''''''&&&%%%%%%'''((()))''''''''''''''''''''''''%%%%%%&&&'''((((((((('''(((((((((((()))))))))******))))))(((((((((((()))'''((()))++++++******)))((((((***+++,,,---------*********++++++,,,,,,---++++++******+++,,,------,,,,,,---...///000111222000000000000000000000000000000000000////////////)))***,,,---...---,,,,,,*********++++++,,,,,,,,,---+++******+++,,,,,,+++))))))))))))))))))))))))((((((((((((((((((((((((((('''&&&&&&&&&((()))***&&&&&&&&&'''''''''((((((''''''((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%((()))***)))((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%$$$###""""""""""""######$$$$$$$$$&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&(((((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((('''''''''$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((('''&&&&&&&&&&&&'''((((((&&&%%%%%%&&&((((((&&&$$$''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%((('''%%%$$$###$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&%%%$$$###"""%%%%%%$$$$$$%%%'''((()))&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((()))((((((((((((((('''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''(((((((((&&&&&&&&&'''''''''((((((''''''''''''''''''''''''))))))(((((('''''''''&&&((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%$$$$$$%%%%%%&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''&&&&&&''''''(((((('''&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$###$$$&&&(((((('''&&&%%%$$$%%%&&&&&&''''''&&&&&&$$$$$$$$$%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&'''&&&&&&&&&(((%%%%%%%%%%%%%%%%%%%%%%%%'''((('''%%%$$$%%%(((***'''&&&%%%%%%%%%%%%&&&'''$$$$$$%%%'''(((***++++++''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%''')))******((('''((())))))))))))***++++++,,,,,,******))))))******+++,,,------,,,++++++,,,,,,,,,...+++)))))),,,---+++***......///000000000000000000000111111111000000///000///...------...///000------------,,,+++***)))*********++++++,,,,,,,,,+++++++++*********))))))***+++,,,,,,,,,***)))(((((((((''''''''''''(((((())))))))))))))))))))))))))))))(((((('''''''''&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%"""""""""###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&((()))+++,,,'''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$))))))))))))************'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''%%%%%%$$$###$$$%%%&&&'''(((((('''&&&%%%%%%$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''''''''((((((''''''&&&%%%&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&%%%%%%$$$'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$'''&&&$$$######%%%'''((('''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$%%%&&&((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((('''(((((('''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''')))((((((((('''''''''&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%%%%%%%%%%&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%'''((()))((('''&&&$$$%%%&&&&&&''''''&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&''''''&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%$$$&&&))),,,'''&&&%%%%%%%%%%%%&&&'''%%%&&&&&&&&&'''''''''((('''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%'''(((******((('''((()))'''(((((())))))***++++++***************+++,,,,,,---,,,,,,++++++,,,,,,,,,...,,,******,,,---,,,+++---...///000111111111111111111111111111111000000000///...------...///000------------,,,+++***)))******+++++++++,,,,,,,,,,,,,,,,,,+++++++++************++++++***))))))(((((((((''''''''''''(((((()))))))))))))))))))))))))))((((((((('''''''''&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''(((******'''&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%$$$$$$$$$%%%&&&'''(((''''''&&&%%%%%%$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''&&&''''''''''''''''''''''''$$$%%%&&&'''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%###!!!  !!!"""'''&&&%%%%%%$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$&&&(((***+++&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''((((((((('''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''(((((('''&&&%%%%%%&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''&&&''''''''''''&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&((())))))(((((('''$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''')))((('''&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%$$$$$$%%%(((***'''&&&&&&%%%%%%&&&&&&''''''''''''&&&%%%%%%$$$$$$'''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%&&&((())))))((('''((()))&&&&&&'''(((((())))))***++++++******++++++,,,---,,,,,,++++++++++++,,,,,,///---,,,,,,---......------...000222333444444333333333222222222111111000//////...------...//////------------,,,+++*********++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++******)))((((((((()))))))))((((((''''''(((((()))((((((((((((((((((((((((((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&&&&&&&'''((((((&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&'''''''''&&&&&&%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$&&&''''''((((((&&&%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%'''&&&&&&&&&&&&&&&%%%%%%)))'''%%%$$$###"""######&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$%%%(((+++,,,'''&&&&&&&&&&&&%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&'''''')))(((''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''''''''''''''&&&&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&''''''((((((''''''$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''((())))))'''%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''%%%###"""###%%%&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%%%%%%%''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%'''))))))((('''((()))&&&''''''(((((()))******+++++++++++++++,,,,,,---++++++++++++++++++,,,---///...------.../////////...///222555777777777777444444333222222111111111........................,,,---------,,,,,,+++***++++++++++++++++++++++++++++++++++++++++++++++++***)))(((''''''((()))***))))))(((((((((((())))))((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%!!!"""###%%%'''((())))))$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%$$$%%%&&&&&&'''&&&&&&%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&***)))((('''&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((('''%%%$$$%%%''')))***&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&'''''')))((('''&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''''''''((((((%%%%%%&&&&&&&&&&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&$$$%%%&&&&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&((()))(((&&&%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&###"""###$$$&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''(((((((((''''''''''''''''''''''''(((((('''''''''&&&&&&&&&%%%&&&((()))((('''((()))''''''((())))))******+++++++++******++++++,,,---************++++++,,,---......///......///000111000222555999;;;;;;;;;:::555444333222111111111111------............------,,,,,,---------,,,++++++++++++++++++++++++++++++))))))))))))***************)))(((''''''((()))***))))))(((((((((((())))))((((((((((((((((((((((((&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%% !!!###%%%&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%(((''''''&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&""""""""""""######$$$%%%%%%%%%&&&''''''''''''&&&$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&%%%%%%%%%&&&'''%%%%%%&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''''''''''''''&&&&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%&&&&&&'''((((((((($$$%%%%%%&&&&&&&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&###$$$%%%&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&((('''&&&%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%"""$$$&&&&&&%%%%%%'''(((%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''((()))******''''''''''''''''''''''''((((((((('''''''''&&&&&&$$$&&&((((((''''''((()))'''(((((())))))***++++++******))))))******+++,,,******)))******+++,,,------...//////...///000222222444888;;;======<<<;;;666444222111000000000111------............------,,,,,,,,,------,,,,,,+++,,,,,,,,,++++++++++++***((((((((()))))))))))))))))))))(((((())))))*********))))))(((((())))))***((((((((((((((((((((((((&&&&&&&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%&&&%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%############$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&& !!!"""###$$$$$$$$$%%%'''((((((((('''&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%###$$$&&&''''''''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((('''&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''%%%&&&&&&&&&&&&'''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%$$$$$$%%%%%%&&&'''((('''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%&&&&&&'''(((((()))###$$$%%%&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$$$$%%%%%%&&&&&&$$$%%%&&&&&&''''''&&&&&&"""###$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""$$$&&&&&&%%%$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%"""$$$&&&''''''''')))***%%%%%%&&&''''''&&&%%%%%%%%%%%%&&&''''''(((((()))''''''''''''''''''''''''((((((((((((''''''''''''###%%%'''(((''''''((()))&&&&&&'''(((((())))))***))))))(((((())))))***+++))))))))))))***+++,,,---,,,...//////......000333222444888;;;===<<<;;;:::555444222000...//////000,,,------......------,,,+++,,,,,,------,,,,,,+++,,,,,,,,,+++++++++******(((((())))))************((())))))***++++++************))))))))))))******))))))))))))))))))))))))%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%&&&&&&%%%%%%%%%&&&''''''&&&$$$"""!!!&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&'''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%###$$$$$$$$$$$$%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&'''''''''$$$%%%&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&#########$$$$$$$$$%%%%%%######$$$%%%&&&&&&&&&&&&$$$%%%'''(((((((((''''''$$$$$$$$$%%%%%%&&&&&&&&&###$$$%%%&&&&&&&&&&&&%%%"""###%%%'''((((((''''''$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&'''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((())))))((((((&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''(((((((((&&&&&&&&&'''''''''((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''#########$$$%%%&&&'''((('''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%&&&&&&'''((())))))###$$$%%%%%%&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%%%%%%%&&&''''''$$$%%%&&&&&&''''''&&&&&&!!!"""###$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!###%%%%%%$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&(((((('''&&&'''(((%%%%%%&&&''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''''''''''''''''')))(((((((((''''''''''''###%%%'''(((''''''((()))%%%%%%&&&&&&'''(((((()))((((((((((((((())))))***))))))))))))***+++,,,---+++---//////------000333111444888;;;<<<;;;:::888555444111///......//////,,,,,,---......---,,,,,,++++++,,,------,,,,,,,,,,,,,,,,,,++++++*********))))))******+++++++++,,,((()))***,,,,,,,,,+++*********))))))))))))******************************%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%&&&&&&&&&%%%%%%$$$%%%'''(((((('''%%%$$$''''''''''''''''''''''''$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$%%%%%%&&&'''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%###$$$%%%&&&'''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&'''((()))))))))$$$$$$&&&&&&&&&&&&$$$$$$###$$$$$$%%%&&&'''(((((($$$%%%%%%&&&'''''''''&&&((((((''''''''''''((((((""""""#########$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%'''''''''&&&&&&%%%%%%%%%((((((((((((((((((((((((''''''''''''''''''''''''((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''((((((((((((((((((((((((++++++++++++++++++++++++***))))))))))))+++,,,---......------------......222333444555555555444444222111111000///......---,,,------...---,,,***)))------------,,,,,,+++***,,,+++***))))))(((((()))((())))))***++++++,,,,,,******))))))(((((('''''')))))))))))))))(((''''''((('''&&&&&&'''((()))***)))(((&&&&&&''''''&&&%%%'''&&&&&&%%%&&&'''(((***%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%###"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%&&&'''((()))'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&'''((()))&&&...555444,,,%%%###%%%((('''%%%$$$###$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((((((''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&'''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''))))))))))))((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((***))))))))))))+++,,,---...------------------...000111222333333333222111111111000//////...------+++,,,---------,,,+++***,,,---------,,,,,,+++***))))))((((((((())))))*********************************))))))(((((((((((()))))))))))))))(((''''''))))))((('''((()))******)))'''&&&&&&''''''&&&%%%&&&&&&%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&&&&%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&&&&%%%$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&'''((((((111;;;BBB===///$$$###&&&'''&&&%%%$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((******)))((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))))))))))))))+++,,,,,,---------------------------...000111111111000///000000//////...---------***+++,,,,,,---,,,,,,+++,,,,,,---------,,,++++++)))(((((()))***+++,,,,,,,,,,,,++++++***)))((((((***))))))))))))((((((((()))))))))))))))(((''''''+++******))))))))))))***((('''&&&&&&'''(((&&&%%%$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''&&&%%%$$$$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%&&&###$$$$$$%%%&&&'''((()))%%%%%%%%%%%%%%%%%%%%%%%%(((((('''&&&%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%%%%%%%&&&'''''''''&&&&&&&&&&&&'''((((((666@@@GGG@@@///######(((&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((((((((''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$$$$$$$$$$%%%%%%%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((((()))******+++,,,------............------,,,---///000000//////...............------,,,,,,******++++++,,,,,,,,,,,,,,,,,,,,,------,,,,,,++++++++++++++++++,,,------,,,,,,++++++***))))))))))))))))))))))))))))))))))))))))))))))))(((''''''+++******))))))(((((((((((('''&&&&&&'''((('''%%%###$$$%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((('''%%%$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%&&&$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%&&&'''((()))&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&''''''(((...555:::666,,,$$$$$$(((&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((('''(((((()))******++++++---...////////////...---,,,---///000000000///...---------,,,,,,,,,,,,,,,************+++,,,,,,---+++,,,,,,------,,,,,,,,,---,,,+++***************************************))))))))))))************)))))))))))))))((('''''')))))))))((((((''''''&&&(((&&&%%%&&&'''((('''&&&$$$$$$&&&&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&'''((('''%%%$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&'''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%!!!"""###%%%''')))***+++%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''(((''''''&&&&&&&&&''''''%%%''')))***(((&&&$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&&&&'''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&'''""""""###$$$%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$$$$%%%%%%&&&'''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&'''((()))************,,,---...//////...---,,,,,,---///000000000///...,,,,,,,,,++++++++++++++++++************++++++,,,++++++,,,---------,,,,,,++++++***(((((('''''''''******************++++++)))))))))************+++)))))))))))))))((('''''''''((((((((((((''''''&&&'''&&&%%%&&&(((((((((&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''&&&%%%$$$$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&'''(((((())))))(((((('''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$############$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&''''''(((((('''&&&&&&&&&&&&'''%%%######$$$&&&&&&$$$!!!$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''!!!""""""###$$$$$$%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&'''((()))*********)))***+++---......---+++***,,,---.../////////...---++++++++++++++++++++++++,,,+++***))))))******+++***+++,,,,,,---------,,,+++******)))))))))******,,,,,,++++++***)))))))))))))))*********+++++++++)))))))))))))))(((''''''''''''((()))***)))(((((('''&&&%%%&&&((()))((('''(((''''''&&&%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&&&&%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$""""""$$$%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''(((((('''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$######$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''%%%%%%%%%&&&&&&''''''''''''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%$$$$$$$$$&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$$$$%%%&&&''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((%%%&&&(((*********))))))((()))+++,,,,,,+++)))(((+++,,,---.........------******************++++++---,,,***)))))))))*********+++,,,,,,------------,,,,,,,,,,,,---...//////...---,,,+++***(((''''''))))))******++++++++++++)))))))))))))))((((((''''''((()))+++++++++***)))'''&&&%%%&&&((()))((('''***)))'''&&&%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&%%%###"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$''''''''''''''''''''''''$$$$$$%%%&&&&&&%%%$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$ !!!###$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%&&&###$$$$$$%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&'''''')))((('''&&&&&&&&&&&&&&&$$$&&&''''''%%%$$$&&&((("""###%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''###$$$&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''&&&&&&''''''%%%%%%%%%%%%'''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''((('''%%%$$$###$$$%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''&&&'''&&&###$$$(((((($$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%######$$$%%%%%%%%%%%%&&&&&&&&&''''''###$$$%%%&&&''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&&&&''''''((($$$$$$%%%%%%%%%&&&&&&&&&((('''%%%$$$$$$%%%'''((($$$$$$%%%%%%%%%%%%&&&&&&$$$((()))%%%$$$&&&'''%%%'''''''''&&&&&&%%%%%%%%%((()))+++,,,+++)))&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''&&&&&&''''''''''''((((((((((((###$$$$$$%%%&&&'''(((((()))*********++++++++++++++++++,,,,,,,,,---------))))))***++++++++++++******+++,,,---------------,,,,,,+++******+++,,,,,,++++++,,,,,,,,,,,,------,,,,,,++++++***)))))))))+++++++++*********))))))+++******)))(((''''''&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%$$$###$$$%%%%%%%%%%%%%%%$$$$$$#########&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&***)))&&&$$$""""""###$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&'''(((***+++&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&&&&%%%$$$###"""%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&'''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''&&&&&&%%%$$$$$$######$$$$$$%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''%%%&&&&&&$$$&&&++++++(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%$$$###$$$&&&%%%%%%%%%&&&&&&&&&''''''''''''((((((''''''&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$"""!!!!!!"""$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&###'''(((%%%###&&&'''%%%'''''''''&&&&&&%%%%%%%%%%%%&&&(((((((((&&&###!!!&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((%%%&&&&&&''''''(((((()))*********++++++++++++,,,++++++++++++,,,,,,,,,,,,))))))***++++++++++++*********+++++++++***)))))),,,,,,+++******+++,,,,,,+++++++++,,,,,,,,,------******************+++++++++++++++*********))))))*********)))((('''''''''(((''''''&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$######&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&%%%$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&)))(((&&&$$$######$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&'''''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&''''''###$$$$$$%%%%%%$$$$$$###'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''(((((('''&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''$$$&&&&&&%%%(((...///,,,&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&'''&&&%%%$$$%%%&&&%%%%%%%%%&&&&&&&&&'''''''''''''''&&&%%%###"""!!!$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$###"""!!!!!!"""###$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%)))***&&&%%%'''(((''''''''''''&&&&&&&&&&&&&&&$$$%%%&&&'''&&&%%%###!!!''''''''''''''''''''''''%%%&&&&&&''''''(((((((((&&&''''''''''''(((((((((((((((((((((((((((((((((************++++++++++++)))*********++++++++++++))))))***++++++++++++***++++++++++++***)))(((''',,,++++++******++++++,,,++++++++++++,,,,,,,,,,,,((())))))***++++++,,,,,,+++++++++*********************))))))((((((''''''(((''''''&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$###$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!"""###%%%&&&'''((((((%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&''''''%%%%%%''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''$$$&&&&&&%%%(((---...+++&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''%%%%%%&&&'''%%%%%%%%%&&&&&&&&&'''''''''''''''&&&%%%$$$###"""$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&&&&''''''(((%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%$$$$$$%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&***,,,((('''***+++***'''''''''''''''&&&&&&&&&''''''((())))))'''&&&$$$&&&&&&&&&&&&''''''''''''&&&&&&'''((()))******+++&&&&&&&&&'''''''''((((((((((((((((((''''''&&&&&&(((((()))))))))*********))))))))))))************))))))***++++++++++++***+++,,,,,,,,,,,,++++++***++++++++++++++++++++++++***++++++++++++,,,,,,,,,))))))*********+++++++++***************************)))))))))((((((((('''((((((''''''''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!"""###%%%&&&'''((((((%%%%%%%%%&&&&&&&&&'''''''''''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''%%%%%%''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''&&&'''&&&$$$&&&******'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''(((((())))))))))))(((((($$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&&&&''''''(((%%%%%%&&&&&&&&&''''''''''''''''''&&&&&&'''''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%)))***'''&&&)))***)))''''''''''''''''''''''''(((((()))))))))(((''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&'''(((((())))))&&&&&&&&&&&&''''''''''''(((((('''&&&&&&%%%%%%%%%''''''''''''(((((((((((((((((()))))))))*********))))))***++++++++++++***((()))***+++,,,---------++++++++++++++++++++++++*********+++++++++,,,,,,+++++++++*********))))))************************))))))))))))(((((((((((((((((((((''''''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$%%%''''''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&'''''''''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&&&&%%%%%%$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((('''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&'''''''''&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&''''''###$$$$$$%%%%%%$$$$$$###%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''###$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''&&&'''&&&###$$$((('''$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&'''&&&%%%$$$%%%&&&%%%%%%%%%&&&&&&&&&''''''######$$$&&&&&&'''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&&&&''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&!!!%%%'''$$$###&&&(((&&&'''''''''''''''(((((((((&&&'''''''''''''''&&&&&&###$$$$$$%%%%%%&&&&&&&&&######$$$$$$%%%&&&&&&&&&%%%&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%$$$''''''''''''((((((((((((((()))))))))************))))))***++++++++++++***%%%&&&''')))***++++++,,,***++++++,,,,,,++++++***************++++++++++++,,,,,,++++++***))))))(((***************+++++++++))))))))))))(((((((((((()))((((((''''''(((((()))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%'''(((((('''&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&''''''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''$$$%%%%%%%%%%%%%%%%%%&&&###$$$$$$%%%&&&&&&''''''%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''###$$$&&&'''''''''&&&&&&&&&''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''&&&'''%%%###$$$((('''###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%$$$###$$$&&&%%%%%%%%%&&&&&&&&&'''''' !!!"""###$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&''''''''''''$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&!!!%%%'''$$$###&&&((('''&&&'''''''''((((((((()))&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&''''''(((%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&((((((((()))))))))******)))))))))*********++++++))))))***++++++++++++***&&&&&&''')))***************+++,,,,,,,,,,,,+++***************++++++++++++++++++******************))))))*********+++++++++(((((((((((())))))))))))))))))(((((((((((())))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%'''((()))((('''&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&$$$%%%&&&&&&$$$$$$%%%&&&)))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###%%%%%%&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&'''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$%%%&&&((()))&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&######$$$%%%%%%&&&''''''((('''%%%%%%%%%%%%'''(((%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''$$$%%%'''(((((((((''''''''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$##################$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''%%%'''%%%###%%%)))(((%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%######$$$%%%%%%%%%%%%&&&&&&&&&''''''&&&'''(((((())))))(((((($$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&&&&''''''(((&&&&&&&&&'''''''''((((((%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&###((()))'''&&&)))+++)))&&&'''''''''(((((())))))''''''''''''''''''''''''%%%%%%&&&&&&'''((()))))))))))))))))))))(((((((((%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((************++++++++++++************++++++++++++))))))***++++++++++++***)))******++++++++++++******+++,,,------,,,+++***)))************+++++++++)))))))))***++++++,,,,,,))))))******++++++++++++(((((((((((())))))))))))))))))(((((((((((())))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((('''&&&%%%%%%&&&'''((()))%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%'''))))))((('''&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&***)))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""$$$%%%'''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&'''((())))))%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&'''((((((((('''&&&%%%$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%''''''''''''''''''''''''&&&&&&'''((('''&&&$$$###((('''&&&%%%%%%&&&'''(((&&&%%%%%%&&&((()))(((&&&(((((('''''''''&&&&&&&&&$$$$$$%%%&&&''''''''''''&&&'''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%''')))+++***)))&&&$$$(((%%%###%%%(((***)))'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&'''((())))))***'''$$$$$$&&&'''%%%###&&&%%%%%%$$$$$$%%%%%%&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%$$$$$$%%%'''(((''''''''''''(((((()))))),,,+++***((('''%%%$$$###%%%%%%&&&&&&'''(((((((((%%%&&&&&&'''''''''''''''***'''$$$$$$'''((((((&&&*********)))))))))))))))*********)))))))))))))))))))))))))))))))))))))))******++++++++++++******************************''''''(((((())))))************))))))))))))******(((((())))))))))))((((((''''''(((((())))))******++++++***((('''%%%$$$$$$###%%%'''))))))((('''&&&%%%$$$###"""###$$$%%%&&&%%%%%%%%%%%%%%%&&&'''(((######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%&&&(((((('''&&&''''''&&&&&&&&&&&&%%%%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&(((((((((''''''&&&&&&&&&((('''&&&$$$######$$$$$$%%%%%%$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&)))(((''''''''''''((()))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&''''''((((((''''''&&&$$$######"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&(((''''''&&&%%%$$$###"""$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$%%%%%%&&&''''''(((((('''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''''''''&&&%%%$$$'''&&&%%%%%%%%%%%%&&&''''''&&&%%%'''((()))'''&&&((('''''''''&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''(((((('''&&&%%%(((&&&$$$$$$&&&'''&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&'''''''''(((***'''%%%%%%'''((('''%%%'''&&&&&&%%%%%%&&&&&&'''(((((('''''''''&&&&&&&&&''''''''''''''''''''''''((('''%%%$$$$$$%%%'''(((%%%%%%&&&&&&&&&'''''''''))))))((((((''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%''''''&&&%%%%%%'''((())))))'''$$$%%%'''((((((&&&)))))))))))))))))))))******)))))))))))))))))))))************************)))******++++++******)))************************(((((()))))))))))))))*********))))))))))))******'''(((((())))))(((((('''''''''(((((())))))))))))******)))((('''&&&%%%%%%###$$$&&&'''''''''&&&%%%%%%$$$$$$###$$$%%%&&&'''&&&&&&%%%%%%%%%&&&''''''$$$$$$$$$%%%%%%%%%%%%&&&$$$$$$%%%%%%%%%%%%$$$$$$###$$$&&&&&&$$$$$$$$$%%%&&&&&&&&&&&&&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&'''''''''&&&&&&&&&%%%%%%((('''&&&$$$######$$$$$$(((''''''&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&(((''''''&&&%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''((('''&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%""""""$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&((('''&&&'''((((((&&&%%%''''''''''''&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&(((&&&$$$###$$$$$$###"""&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&)))'''&&&&&&((()))(((((((((''''''&&&&&&''''''((('''''''''''''''&&&&&&&&&((((((((((((((((((((((((((('''&&&%%%%%%&&&'''((($$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&'''(((((())))))'''&&&&&&%%%$$$$$$######)))'''%%%$$$$$$&&&)))+++)))'''%%%%%%'''((('''&&&((((((((())))))*********))))))))))))))))))******++++++++++++++++++++++++)))******++++++******)))***************************************)))))))))******))))))))))))******'''(((((())))))((((((''''''(((((((((((()))))))))(((((((((''''''''''''&&&$$$$$$$$$%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&&&&&&&%%%###%%%&&&&&&%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%########################&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&%%%%%%%%%%%%%%%$$$''''''&&&%%%$$$$$$$$$$$$%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$###""""""$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''$$$$$$%%%%%%&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$###"""!!! %%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&((('''''''''((('''&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&%%%$$$$$$'''&&&&&&%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%&&&'''((('''&&&$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%'''(((((((((''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''((())))))&&&&&&&&&%%%%%%%%%$$$$$$''''''&&&%%%%%%'''((()))''''''&&&&&&''''''''''''&&&''''''((()))***++++++)))))))))))))))*********************************))))))************))))))************************,,,,,,++++++******))))))******))))))))))))******((())))))******))))))(((((((((((((((((((((((((((&&&&&&&&&'''''''''((((((&&&%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&''''''((((((((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''(((&&&&&&''''''''''''&&&&&&'''(((***)))(((''''''(((%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%$$$$$$$$$$$$"""######$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""""""""###$$$$$$%%%%%%$$$%%%'''(((((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''$$$$$$%%%&&&&&&'''((((((''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$"""###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$###"""&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&((('''''''''((('''&&&$$$%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&%%%$$$$$$''''''&&&&&&'''(((((()))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%&&&''')))***%%%%%%%%%%%%%%%%%%''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%&&&'''&&&&&&%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''%%%&&&&&&&&&'''''''''((($$$%%%'''((((((((('''&&&&&&''''''''''''&&&''''''&&&&&&'''((()))******+++(((((())))))************)))))))))))))))))))))))))))))))))******))))))))))))))))))))))))))))))))),,,,,,++++++******))))))******))))))))))))******)))******++++++******)))((((((((('''''''''''''''%%%%%%&&&&&&'''(((((((((((('''&&&&&&&&&&&&''''''&&&&&&'''''''''(((((((((((('''&&&%%%%%%%%%%%%%%%&&&&&&'''''''''(((((((((&&&''''''((((((''''''&&&)))***,,,+++)))(((((()))%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!"""######$$$%%%%%%%%%'''(((******((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$#########&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&&&&%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$!!!"""$$$&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%$$$###$$$$$$%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))************''''''''''''''''''''''''%%%$$$$$$$$$$$$%%%%%%&&&&&&''''''((((((''''''&&&((('''&&&'''((((((&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%$$$%%%&&&'''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&'''(((***+++###$$$%%%%%%%%%%%%''')))''''''''''''''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&&&&&&&###$$$%%%$$$######%%%'''%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&%%%%%%&&&''''''((())))))###%%%(((******)))&&&%%%%%%'''(((((('''&&&&&&''''''''''''(((((()))))))))((((((((()))******++++++((((((((((((((((((((((((((())))))******))))))((())))))))))))))))))))))))***************)))))))))******))))))))))))******)))******++++++******)))(((((((((''''''''''''&&&$$$%%%%%%&&&''''''((((((((('''''''''''''''&&&&&&%%%&&&''''''((((((''''''''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&'''''''''((((((&&&&&&''''''''''''&&&&&&((()))***)))'''&&&&&&'''%%%&&&&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$###$$$$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$"""###%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&!!!!!!"""###$$$%%%%%%&&&%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$############&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&'''((((((&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$%%%%%%&&&'''&&&$$$######$$$&&&'''###$$$&&&''''''&&&$$$###!!!"""$$$&&&&&&&&&%%%$$$&&&&&&'''''''''&&&%%%$$$######$$$%%%%%%&&&''''''''''''''''''''''''''''''%%%&&&''')))***+++++++++&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$#########$$$%%%%%%&&&''''''''''''&&&%%%'''&&&%%%'''((()))'''&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&'''&&&&&&&&&!!!"""%%%'''((('''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))###%%%&&&%%%######%%%'''(((((((((((((((((((((((($$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&'''''''''(((%%%&&&'''%%%###"""$$$'''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''((((((((((((''''''((('''''''''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''((()))((('''&&&$$$'''))))))'''%%%&&&'''''''''(((((((((((((((((('''(((((()))******++++++(((((((((((((((((((((((((((((())))))))))))(((((())))))))))))))))))))))))(((((()))))))))))))))*********))))))))))))******(((((())))))))))))(((((((((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&'''((('''&&&%%%$$$$$$%%%&&&'''((('''&&&&&&&&&&&&%%%%%%%%%&&&''''''%%%%%%&&&&&&&&&'''''''''&&&&&&&&&''''''&&&&&&&&&&&&((()))(((&&&$$$$$$%%%%%%%%%&&&'''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$%%%%%%&&&&&&$$$$$$%%%&&&&&&&&&%%%$$$!!!###%%%%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&!!!!!!"""###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$############$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''(((((($$$$$$%%%&&&'''((()))***######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%%%%&&&'''&&&$$$######$$$&&&'''###$$$&&&''''''&&&$$$### """$$$&&&'''&&&%%%$$$%%%&&&'''''''''&&&%%%$$$######$$$%%%%%%&&&''''''''''''''''''''''''''''''&&&&&&''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$#########$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$&&&%%%%%%&&&((()))(((&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%&&&'''''''''''' ###&&&'''&&&###"""%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&'''(((((($$$%%%&&&$$$!!! """$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&'''((())))))&&&((()))'''$$$###%%%''''''''''''&&&&&&'''''''''&&&&&&&&&'''''''''((((((((((((((((((((((((((((((''''''(((((((((((('''''''''''''''&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%$$$$$$###&&&&&&&&&&&&&&&'''(((((($$$'''***)))'''%%%&&&'''(((((((((((((((''''''''''''(((((()))***+++++++++))))))))))))))))))))))))(((((())))))))))))(((((())))))))))))))))))))))))''''''(((((())))))************))))))))))))******&&&&&&''''''''''''&&&&&&(((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&'''''''''$$$%%%'''''''''%%%###"""$$$$$$&&&'''''''''&&&%%%%%%%%%%%%%%%&&&&&&'''(((%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&&&&&&&%%%''')))))))))&&&%%%%%%%%%%%%%%%&&&'''((((((((('''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&###$$$%%%&&&&&&&&&%%%$$$"""$$$&&&((()))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&!!!"""###$$$%%%&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$############"""$$$$$$&&&''''''&&&$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$#########"""######$$$&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%''''''''''''%%%%%%%%%&&&'''(((((('''&&&%%%(((&&&$$$$$$&&&((()))(((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&''''''''''''(((((((((''''''''''''(((((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&'''((())))))((('''&&&%%%&&&&&&'''$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%&&&((()))***'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###"""###&&&***+++(((%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''(((''''''&&&$$$######"""%%%%%%%%%&&&&&&&&&'''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''((())))))&&&'''((())))))((('''&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&''''''''''''''''''&&&&&&&&&'''((())))))(((((((((((('''''''''&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((()))((('''''''''(((***++++++*********))))))((((((((()))+++---,,,***'''%%%))))))************))))))***)))(((''''''((()))*********)))(((((((((((((((&&&(((+++,,,,,,)))&&&$$$&&&'''''''''(((((())))))(((((('''&&&&&&&&&&&&''')))(((&&&%%%$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%$$$&&&)))+++,,,+++)))'''&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&'''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#################################'''&&&%%%%%%$$$$$$%%%%%%'''&&&$$$#########$$$$$$''''''''''''''''''''''''%%%&&&'''''''''%%%###"""&&&%%%%%%$$$$$$%%%%%%&&&######%%%&&&&&&%%%######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%$$$############""""""###$$$%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%%%%###!!! !!!###%%%'''$$$$$$%%%%%%%%%&&&&&&&&&'''&&&$$$######$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$###$$$%%%&&&'''$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%%%%&&&'''(((((('''&&&%%%)))'''%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%&&&''''''(((((((((&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%&&&'''((()))'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%(((&&&&&&(((******'''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&'''''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''''''''&&&((('''''''''&&&&&&&&&&&&&&&&&&&&&''''''''''''((('''''''''''''''''''''''')))))))))))))))))))))))))))(((((('''((()))***+++************)))))))))(((((()))***++++++***((('''))))))************)))))),,,,,,+++******+++,,,,,,***))))))((((((((((((((('''(((***+++***(((&&&%%%&&&&&&&&&&&&'''''''''(((''''''''''''&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$&&&'''((()))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''''''''&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%''''''%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$######$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&,,,)))&&&$$$###$$$$$$$$$"""######$$$%%%%%%&&&&&&###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%'''&&&$$$######$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''$$$%%%&&&&&&''''''&&&&&&'''''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&***(((&&&%%%&&&&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&'''(((&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%***)))''''''''''''%%%###%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&'''((((((((('''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&((((((''''''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%$$$''''''''''''&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''''''''''''''))))))))))))))))))))))))((((((((((((((()))******************))))))))))))))))))))))))************))))))************))))))***))))))(((((())))))***))))))((((((''''''((((((''''''((((((((('''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''((('''&&&%%%$$$%%%%%%&&&&&&'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%((('''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%###""""""$$$&&&'''&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''111,,,&&&###$$$&&&&&&%%%######$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%###$$$%%%''''''&&&%%%$$$############$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&'''$$$%%%&&&&&&''''''&&&&&&((((((''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((&&&%%%%%%&&&'''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&'''''''''(((''''''&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%$$$$$$#########&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&'''((())))))%%%%%%%%%%%%%%%%%%%%%%%%))))))(((''''''''''''((()))((('''&&&&&&'''((()))''''''''''''''''''''''''''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$'''''''''''''''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''''''''''''''************************((((((((((((((())))))************)))))))))))))))))))))(((((((((***+++,,,))))))************))))))(((((((((''''''((((((((()))(((((('''''''''(((((('''''''''&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''((((((&&&$$$######$$$&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%'''&&&%%%$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###############$$$$$$'''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&''''''///***%%%$$$&&&(((&&&$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%&&&&&&''''''&&&&&&''''''''''''&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&$$$######%%%'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&'''((())))))%%%%%%%%%%%%%%%%%%%%%%%%)))(((((('''''''''(((((()))((('''&&&&&&'''((()))''''''''''''''''''''''''''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$((((((((((((((('''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''''''''''''''))))))))))))))))))))))))'''(((((()))))))))))))))))))))))))))))))))*********)))((('''((()))+++,,,))))))************))))))++++++++++++++++++++++++((((((''''''''''''((((((((('''&&&%%%&&&&&&'''(((((((((''''''''''''''''''$$$&&&'''((((((&&&$$$######$$$&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%((('''%%%$$$###$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""""""""######$$$$$$$$$'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%$$$"""!!!&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&''''''(((&&&%%%&&&((((((&&&###%%%%%%%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%###""""""###$$$%%%%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&""""""###%%%((()))((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%'''(((((('''''')))***&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&'''(((((((((''''''''''''''''''''''''%%%%%%%%%%%%%%%&&&''''''((((((''''''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%((((((((()))((((((''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((''''''((()))))))))))))))))))))))))))***************))))))(((((()))***+++))))))************))))))))))))***++++++***))))))''''''&&&&&&''''''(((((('''''''''&&&''''''((()))((((((((((((((('''''''''%%%&&&&&&'''&&&%%%$$$###%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((()))%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%((('''&&&%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&%%%###!!!&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''"""$$$&&&(((((('''%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&'''%%%""" !!!$$$%%%&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%&&&''''''&&&&&&%%%$$$$$$%%%&&&&&&###"""###%%%'''((('''%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''(((''''''&&&%%%%%%&&&&&&$$$%%%&&&'''(((''''''&&&&&&&&&&&&'''''''''((((((''''''''''''''''''''''''$$$$$$%%%%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''%%%(((++++++)))((()))***''''''''''''''''''''''''(((''''''&&&&&&''''''((($$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''$$$$$$$$$%%%&&&'''((()))''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&''''''((((((''''''$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&'''((()))***))))))(((((()))))))))******************))))))))))))))))))))))))************))))))&&&'''((())))))((('''&&&'''&&&&&&&&&&&&'''((()))'''''''''(((((()))))))))(((((((((''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$''''''&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###$$$$$$%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%######%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&"""&&&)))(((%%%###$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&%%%$$$#########$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&'''((()))&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$&&&''''''%%%###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&''''''''')))((('''&&&&&&&&&&&&&&&$$$%%%'''(((((((((''''''(((((((((((())))))))))))(((((((((((((((((((((((($$$$$$%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((('''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''$$$'''++++++(((&&&&&&'''''''''''''''''''''''''''((((((''''''''''''(((((("""######$$$&&&''''''(((%%%%%%%%%&&&&&&&&&'''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&((()))+++,,,&&&'''((())))))((('''&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&''''''((((((''''''&&&$$$$$$%%%&&&''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&''')))*********)))((((((((())))))*********+++++++++******))))))(((((())))))************)))))))))***+++,,,,,,+++***)))&&&&&&&&&&&&&&&'''((()))''''''((()))******))))))'''''''''&&&&&&%%%%%%%%%'''&&&%%%$$$$$$$$$%%%%%%)))(((&&&%%%$$$%%%%%%&&&''''''''''''''''''''''''%%%%%%%%%&&&'''((())))))''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%!!!!!!"""###$$$$$$%%%%%%'''&&&%%%%%%$$$$$$%%%%%%###$$$&&&'''((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&(((***---///&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%''''''''''''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%)))+++((("""$$$)))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&'''&&&%%%$$$###$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&'''&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&'''''''''((((((%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''((((((((((((((('''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((((((((('''&&&&&&&&&%%%%%%######$$$'''(((&&&###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&((('''%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&'''(((((('''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&'''&&&$$$$$$&&&''''''&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''((()))******+++***(((&&&%%%&&&'''(((''''''''''''''''''''''''''''''&&&%%%&&&'''((()))''''''(((((((((((('''''''''###!!!$$$***,,,'''"""(((((('''&&&%%%%%%%%%%%%&&&&&&&&&'''((()))******'''%%%###"""$$$&&&''''''&&&''''''((()))***++++++&&&&&&&&&''''''''''''((('''&&&&&&%%%%%%&&&&&&'''%%%&&&((())))))'''&&&$$$###$$$&&&((()))))))))((('''(((******(((&&&&&&&&&***)))'''&&&%%%%%%&&&'''''''''''''''''''''''''''%%%&&&'''&&&%%%$$$&&&(((''''''&&&&&&&&&&&&''''''((((((((((((((((((''''''((((((''''''''''''(((((())))))((((((''''''&&&&&&'''(((((((((((((((''''''((((((((((((((((((((((((************************'''((()))))))))((('''&&&&&&&&&'''((())))))(((((())))))(((((('''''''''&&&''''''&&&&&&&&&&&&''''''$$$$$$$$$$$$%%%%%%&&&'''***)))((('''((((((******&&&'''((((((&&&$$$$$$%%%&&&&&&&&&''''''''''''(((((('''%%%$$$$$$%%%'''(((%%%&&&'''&&&%%%%%%&&&((((((((((((((('''&&&%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&#########$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%))))))((('''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%'''&&&%%%%%%$$$$$$$$$$$$$$$$$$############$$$$$$###$$$%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$)))((('''&&&%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$%%%&&&''''''''''''((((((((())))))$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&&&&$$$###$$$&&&'''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&'''&&&%%%$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''(((((('''&&&%%%%%%%%%&&&(((((('''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&''''''(((&&&$$$%%%&&&''''''&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&((('''%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%&&&'''((()))''''''(((((((((((('''''')))'''%%%'''+++,,,)))&&&&&&&&&%%%%%%%%%&&&&&&'''$$$$$$######$$$%%%'''(((&&&%%%$$$%%%'''''''''&&&%%%%%%%%%&&&&&&''''''(((&&&&&&&&&''''''''''''(((%%%$$$$$$######$$$$$$%%%$$$%%%'''((()))((('''&&&%%%&&&'''((((((((('''&&&%%%&&&((((((&&&$$$$$$%%%(((''''''&&&&&&&&&''''''''''''''''''''''''''''''%%%&&&'''&&&%%%$$$&&&(((''''''&&&&&&&&&&&&''''''&&&''''''(((((((((''''''((((((''''''''''''((((((************))))))(((((('''(((((((((((((((''''''((((((((((((((((((((((((************************)))*********)))'''&&&%%%&&&''''''((())))))(((((()))(((((((((''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''"""###$$$&&&'''''''''&&&%%%'''((((((&&&%%%%%%&&&&&&&&&&&&''''''''''''(((((('''%%%$$$$$$%%%'''(((&&&''''''&&&$$$$$$&&&'''%%%%%%%%%%%%$$$###"""!!!&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''$$$$$$$$$$$$%%%&&&'''(((&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""!!!!!!"""###$$$''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%########################&&&&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$$$$''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&'''&&&%%%%%%$$$$$$$$$%%%$$$$$$############$$$$$$###$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$''''''&&&%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''''''%%%$$$$$$%%%&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''******((('''&&&%%%%%%%%%'''''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&'''''''''(((&&&%%%%%%&&&''''''&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%'''&&&%%%$$$$$$%%%'''(((%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&'''((((((&&&'''((())))))((('''&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&'''((((((((('''%%%%%%%%%''')))+++%%%%%%%%%&&&(((((('''%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''(((%%%%%%$$$$$$$$$$$$%%%%%%$$$%%%'''(((((((((''''''''''''(((((('''&&&%%%%%%%%%&&&((('''&&&$$$%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''%%%&&&'''&&&%%%$$$&&&(((''''''&&&&&&&&&&&&''''''$$$%%%&&&'''''''''''''''((((((''''''''''''((((((*********))))))))))))((('''(((((())))))((((((((())))))))))))))))))))))))))))))))))))))))))))))))+++++++++***((('''%%%$$$''''''((()))))))))((((((((((((((((((''''''''''''''''''&&&&&&&&&&&&''''''(((((('''&&&&&&&&&''''''###&&&''''''%%%$$$$$$&&&(((((('''&&&&&&'''&&&&&&&&&''''''''''''((('''&&&%%%$$$$$$%%%&&&''''''((((((&&&$$$$$$%%%&&&$$$$$$$$$$$$###"""!!!!!!&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$(((''''''&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&'''))))))$$$$$$$$$$$$%%%&&&'''(((''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######""""""""""""######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$############$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%######$$$$$$%%%%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''***)))((('''''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&''''''(((((()))'''%%%%%%&&&''''''&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((('''''''''''''''((()))***''''''''''''''''''''''''&&&&&&&&&&&&''''''((((((&&&'''((())))))((('''&&&$$$%%%&&&### """%%%%%%%%%%%%%%%%%%&&&'''(((***((('''&&&&&&(((***,,,&&&%%%###$$$&&&'''&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''(((''''''&&&&&&&&&&&&''''''&&&''''''(((((('''&&&&&&'''''''''''''''&&&&&&&&&'''((())))))'''''''''((($$$%%%'''((()))(((''''''''''''''''''''''''''''''%%%&&&'''&&&%%%$$$&&&(((''''''&&&&&&&&&&&&''''''###$$$%%%&&&''''''''''''(((''''''&&&&&&''''''((('''''''''''''''''''''''''''(((((())))))))))))(((************************(((((((((((((((((((((((()))))))))((('''&&&%%%%%%'''(((((()))))))))((((((((((((((((((((('''''''''''''''&&&&&&&&&&&&''''''(((((('''&&&&&&%%%&&&&&&!!!###%%%'''((('''&&&&&&"""$$$&&&'''&&&%%%&&&'''&&&&&&&&&''''''''''''((('''&&&%%%%%%%%%%%%&&&'''(((((((((&&&$$$###$$$%%%&&&&&&&&&&&&&&&%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%&&&'''(((***+++%%%%%%%%%%%%%%%&&&''''''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$%%%%%%&&&&&&%%%%%%%%%$$$%%%%%%&&&'''((())))))$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$#########$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&"""###%%%''''''&&&%%%$$$''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&''''''%%%&&&%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''((()))***&&&'''''''''''''''''''''%%%%%%&&&''''''((())))))***(((&&&&&&''''''&&&%%%'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((())))))***''''''''''''(((((())))))''''''''''''''''''''''''&&&&&&&&&'''''''''''''''%%%''')))******)))'''%%%''')))***'''###"""%%%)))((('''&&&%%%%%%%%%%%%%%%&&&%%%$$$######%%%&&&((('''%%%"""!!!###%%%&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''((((((''''''&&&&&&''''''((())))))(((((('''&&&%%%$$$&&&&&&&&&&&&''''''(((((('''((()))(((''''''((()))$$$%%%'''((()))(((''''''''''''''''''''''''''''''%%%&&&'''&&&%%%$$$&&&(((''''''&&&&&&&&&&&&''''''###$$$%%%&&&''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&'''''''''''''''((()))******))))))++++++++++++++++++++++++((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&''''''((()))))))))))))))(((((('''''''''(((((((((((((((''''''&&&&&&&&&&&&''''''''''''&&&%%%$$$$$$$$$%%%((('''&&&&&&&&&&&&&&&'''!!!###%%%%%%%%%$$$%%%&&&&&&&&&&&&''''''''''''(((&&&&&&&&&%%%%%%&&&&&&&&&(((((((((&&&$$$###$$$%%%'''''''''''''''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$"""######$$$%%%&&&&&&'''$$$$$$%%%&&&'''(((***+++&&&&&&%%%%%%&&&&&&''''''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%$$$''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%%%%&&&&&&'''(((%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&''''''((())))))$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$#########$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%"""###%%%''''''&&&%%%$$$''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&"""$$$&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&'''(((******&&&&&&&&&'''''''''''''''%%%%%%&&&'''((())))))******)))'''&&&''''''&&&%%%'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%&&&'''((()))%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''%%%''')))******)))'''%%%%%%'''((('''$$$###%%%((((((((('''&&&%%%%%%%%%%%%'''&&&&&&&&&&&&&&&'''''''''%%%""""""$$$&&&''''''%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&%%%%%%%%%%%%&&&&&&))))))((('''&&&%%%%%%$$$&&&&&&&&&&&&&&&'''((()))%%%&&&&&&&&&$$$%%%&&&(((&&&&&&''''''''''''''''''''''''''''''''''''''''''%%%&&&'''&&&%%%$$$&&&(((''''''&&&&&&&&&&&&''''''$$$%%%&&&'''''''''''''''''''''&&&&&&&&&&&&'''''''''(((((((((((()))))))))''''''((()))************************************))))))))))))))))))))))))%%%%%%%%%%%%&&&'''((()))))))))*********)))(((((('''''''''(((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%)))(((&&&$$$$$$$$$%%%%%%"""$$$&&&&&&$$$$$$$$$%%%&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''((((((&&&$$$$$$%%%&&&%%%%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$!!!!!!"""###%%%&&&''''''%%%%%%%%%%%%&&&'''))))))'''&&&&&&&&&&&&&&&''''''''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&'''&&&%%%$$$''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&'''((()))%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$%%%%%%&&&&&&''''''$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&#########$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%"""&&&((('''&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''$$$%%%&&&&&&''''''&&&&&&&&&&&&((()))))))))((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%%%%&&&'''((((((&&&&&&&&&'''''''''((((((%%%%%%&&&'''((()))******+++)))''''''''''''&&&%%%'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((((('''&&&%%%&&&)))++++++)))&&&%%%###$$$%%%%%%%%%$$$$$$%%%'''&&&&&&%%%%%%%%%&&&&&&(((((()))******)))((('''&&&%%%&&&'''))))))'''%%%%%%%%%%%%&&&&&&''''''(((&&&&&&&&&''''''''''''(((&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&''''''''')))((('''&&&%%%&&&''''''%%%&&&&&&%%%$$$%%%''')))(((''''''&&&&&&&&&''''''''''''''''''''''''''''''%%%&&&'''&&&%%%$$$&&&(((''''''&&&&&&&&&&&&''''''&&&''''''((((((((('''''''''&&&&&&%%%%%%&&&&&&''''''''''''((((((((())))))''''''(((******++++++***************************************************(((((('''''''''((())))))***************)))((((((''''''''''''((((((((()))''''''&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&%%%%%%%%%%%%'''((((((&&&%%%%%%&&&&&&&&&&&&''''''''''''(((%%%&&&&&&&&&&&&&&&&&&%%%&&&''''''&&&$$$$$$&&&'''###$$$$$$%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&#########$$$%%%&&&''''''%%%%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%$$$##############################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%''''''&&&%%%$$$''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&'''((()))%%%$$$$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&&&&%%%%%%$$$###%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$''''''&&&%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&""""""###$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$!!!''')))(((&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''$$$%%%&&&&&&''''''&&&&&&&&&'''(((*********)))((('''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&'''''''''((((((%%%%%%&&&'''((()))***++++++)))''''''''''''&&&%%%'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&)))(((((((((((('''''''''((()))))))))((('''&&&&&&''''''''''''''''''''''''%%%%%%'''((((((((('''&&&$$$&&&)))++++++)))&&&$$$%%%&&&''')))******)))(((%%%%%%%%%%%%&&&'''(((((($$$%%%'''((((((&&&$$$###$$$&&&)))---...,,,((($$$'''''''''((()))***++++++&&&&&&&&&'''''''''((((((((((((''''''''''''((((((%%%%%%%%%%%%'''(((******+++***(((&&&%%%%%%%%%%%%'''(((((('''&&&''')))+++***)))'''&&&%%%%%%&&&'''''''''''''''''''''''''''&&&&&&'''&&&%%%$$$&&&((('''''''''&&&&&&'''''''''((((((((()))(((((('''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''''''''(((******+++++++++))))))))))))))))))))))))************************,,,+++***((((((((()))******************)))((((((&&&'''''''''(((((())))))'''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&'''((()))###%%%''')))***)))'''&&&''')))***)))'''&&&&&&'''&&&&&&&&&'''''''''((((((%%%&&&&&&''''''&&&&&&%%%%%%&&&'''&&&%%%%%%&&&((($$$%%%%%%&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&(((''''''&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%'''''''''%%%$$$''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&'''((())))))$$$$$$$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$###((((((((((((((('''''''''&&&&&&&&&%%%%%%$$$$$$$$$)))((('''&&&%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%$$$$$$$$$%%%&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&"""$$$''')))***)))'''&&&''''''''''''''''''''''''''')))++++++)))'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&))))))(((((('''''''''&&&))))))(((((('''''''''&&&&&&%%%$$$$$$$$$$$$%%%&&&''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&''''''''''''((((((((('''&&&%%%$$$$$$###%%%$$$######$$$%%%'''(((%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''#########$$$%%%&&&'''((('''''''''''''''&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''((('''&&&%%%%%%&&&'''(((&&&&&&&&&&&&'''''''''(((''''''(((((('''&&&%%%%%%))))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&***))))))((('''%%%$$$###%%%$$$###"""###$$$%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''''''''(((&&&%%%%%%%%%%%%&&&''''''&&&''''''((()))******+++%%%%%%&&&&&&'''(((((((((&&&''''''(((((((((((((((******))))))(((((('''''')))************))))))(((((((((''''''''''''((((((+++******)))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''''''''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''######%%%&&&'''((((((((($$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%%%%%%%%%%(((&&&$$$$$$%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&''''''''')))((('''$$$""" """###$$$$$$%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&''')))******((('''&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((('''''''''&&&&&&&&&&&&((('''''''''&&&&&&&&&&&&)))(((''''''''''''((()))''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''(((((((((((((((((((((''''''(((((('''&&&&&&'''((((((%%%%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''''''''''''''''''''&&&&&&'''''''''&&&&&&&&&&&&''''''((()))((((((((((((((('''''''''''''''''''''''''''''''''((((((((((((((((((((((((((('''&&&&&&&&&&&&'''(((&&&&&&'''''''''(((((((((''''''(((((('''&&&&&&%%%)))(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))(((((('''&&&$$$$$$%%%$$$$$$###$$$%%%&&&''''''''''''&&&&&&&&&%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''''''''(((&&&%%%%%%%%%%%%&&&''''''&&&''''''((())))))******((((((((('''&&&&&&%%%%%%&&&''''''((((((((((((((())))))))))))((((((((((((***************))))))((()))((((((''''''(((((())))))))))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$%%%&&&&&&'''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&'''&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&%%%%%%%%%%%%'''&&&%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%&&&&&&&&&&&&&&&&&&))))))((('''&&&$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&%%%%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&''')))((('''&&&&&&&&&''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%***)))(((((((((((()))***''''''''''''''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''(((''''''((((((((()))))))))))))))((('''''''''((((((&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''''''''((((((((('''''''''''''''''''''''''''''''''&&&&&&''''''(((''''''''''''''''''''''''''''''''''''''''''''''''))))))))))))))))))))))))((('''&&&&&&&&&&&&'''(((''''''((((((((()))))))))'''''''''(((''''''&&&%%%((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((('''&&&&&&%%%&&&%%%%%%%%%%%%&&&''''''((((((''''''''''''&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''''''''(((&&&%%%%%%%%%%%%&&&'''''''''''''''(((((())))))***((((((((('''&&&&&&%%%%%%&&&''''''((((((((((((((((((((((((((())))))))))))***************)))))))))***)))(((((((((((()))***((((((''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$############$$$%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$###$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''%%%%%%%%%&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%'''''''''(((((((((((()))''''''(((((((((((('''''''''&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''(((((((((((((((((((((((('''''''''&&&&&&'''''''''(((((((((((())))))))))))&&&'''''''''''''''&&&&&&((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&'''''''''''''''&&&&&&&&&&&&&&&''''''((((((''''''''''''&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''''''''(((&&&%%%%%%%%%%%%&&&'''''''''''''''((((((((())))))%%%%%%&&&&&&'''(((((((((&&&''''''((((((((((((((('''''''''((()))*********++++++******************---+++***((((((((()))***(((((((((''''''&&&&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&'''&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%%%%$$$$$$$$$$$$%%%%%%'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$###$$$$$$%%%%%%&&&''''''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&''''''&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''''''''&&&&&&%%%%%%%%%###$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$######%%%&&&'''((((((((((((((((((((((((%%%&&&'''&&&%%%$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''((((((''''''''''''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''''''''''''''((((((((((((&&&&&&&&&''''''''''''((()))(((((('''&&&&&&%%%%%%###$$$%%%&&&&&&''''''((('''''''''&&&&&&%%%%%%%%%'''''''''(((((((((((()))''''''((())))))((('''''''''&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&''''''''''''''''''&&&(((((((((((())))))))))))&&&&&&'''''''''''''''&&&'''''''''(((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&''''''((('''''''''&&&&&&'''''''''(((((((((%%%%%%%%%%%%%%%%%%%%%&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''''''''(((&&&%%%%%%%%%%%%&&&''''''''''''''''''((((((((((((%%%%%%&&&&&&'''(((((((((&&&''''''(((((((((((((((&&&&&&'''((()))***++++++******))))))***+++,,,,,,000...,,,)))(((((()))***)))))))))((((((((((((((('''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''###$$$%%%&&&''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&&&&%%%$$$'''))))))'''&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%&&&''''''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&'''((())))))((('''&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''&&&&&&%%%%%%%%%$$$$$$########################$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$%%%&&&'''((((((((((((((((((((((((%%%&&&&&&&&&%%%%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((((((((('''''''''(((((((((((((((&&&&&&''''''''''''&&&&&&'''''''''''''''''''''''''''(((((((((((()))))))))&&&&&&&&&''''''''''''(((,,,++++++***)))((('''&&&$$$%%%&&&'''((((((((((((&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''''''''((((((((('''((()))******)))(((''')))((('''&&&&&&&&&&&&&&&''''''(((((()))*********''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&'''(((((('''&&&&&&''''''((((((((()))))))))%%%&&&''''''(((''''''''''''''''''(((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&'''''''''''''''&&&%%%&&&''''''((((((''''''$$$$$$$$$%%%%%%%%%%%%&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''''''''(((&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''((((((((('''&&&&&&%%%%%%&&&''''''(((((((((((((((&&&''''''((()))******+++))))))((()))***,,,...///444222...***((('''((()))))))))))))))))))))(((((('''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&'''(((%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''"""###%%%&&&'''(((((((((&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%%%%(((++++++(((%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''(((***++++++***((('''%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$"""######$$$&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&'''((((((((((((((((((((((((&&&&&&'''&&&%%%%%%(((***''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''(((((((((&&&&&&&&&''''''(((((((((&&&'''((())))))((('''&&&'''''''''''''''''''''''''''''''''(((((((((((()))&&&&&&&&&''''''''''''(((+++*********))))))((((((&&&&&&'''''''''&&&$$$###%%%%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''''''''''''''((()))******)))((('''(((((('''&&&&&&&&&''''''&&&&&&'''(((((()))******''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&'''(((((('''&&&&&&&&&&&&'''''''''(((((((((%%%&&&&&&'''((((((''''''''''''''''''((((((((()))''''''''''''''''''''''''''''''''''''''''''''''''&&&'''''''''''''''&&&&&&$$$%%%&&&'''((('''&&&&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''''''''(((&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''((((((((('''&&&&&&%%%%%%&&&''''''(((((((((((((((''''''(((((())))))******'''''''''(((***---000222888555000+++((('''''''''(((((((((((((((((((((((('''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&'''''''''&&&$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&'''((('''&&&%%%&&&***---,,,(((%%%%%%'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%&&&&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&''')))++++++)))'''&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''###$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''&&&''''''''''''''''''''''''&&&''''''&&&%%%&&&(((***))))))))))))))))))))))))((((((((((((((((((((((((%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&'''''''''%%%&&&'''(((((('''&&&%%%''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''((((((''''''''''''((((((((((((&&&&&&&&&%%%$$$!!!%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&'''''''''((()))++++++)))((('''%%%%%%%%%$$$$$$%%%%%%&&&######$$$$$$%%%&&&''''''''''''''''''''''''''''''))))))))))))))))))))))))%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&'''''''''(((%%%%%%&&&'''((((((((('''&&&'''''''''(((((())))))((((((((((((((((((((((((((((((((((((((((((((((((''''''(((((('''&&&&&&%%%$$$$$$&&&'''''''''&&&%%%&&&&&&&&&'''''''''(((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''''''''((((((&&&%%%%%%%%%%%%&&&'''''''''''''''''''''''''''&&&%%%%%%&&&&&&'''(((((()))&&&''''''((((((((((((((((((((((((((())))))))))))&&&&&&'''(((***...222444:::666111+++(((&&&&&&'''&&&'''''''''''''''''''''(((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&(((((('''&&&%%%'''+++///---((($$$$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%))))))'''&&&$$$###!!!!!!$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$######$$$$$$%%%"""###$$$%%%&&&&&&'''(((&&&&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%(((((('''''''''&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%''')))******)))'''%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&'''''''''######$$$%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$(((&&&%%%&&&)))***)))'''(((''''''&&&&&&%%%$$$$$$''''''''''''''''''''''''''''''''''''''''''''''''(((((('''''''''&&&&&&&&&$$$$$$%%%%%%&&&'''((((((&&&'''%%%"""&&&......(((%%%&&&''''''&&&%%%%%%&&&&&&&&&%%%%%%&&&''')))***'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&''''''((()))++++++)))((('''''''''((((((((((((''''''(((''''''''''''&&&&&&&&&%%%%%%&&&&&&'''((())))))((((((((()))))))))))))))'''''''''&&&&&&%%%%%%%%%***)))(((((('''&&&%%%%%%&&&&&&&&&'''((((((((())))))))))))(((((('''''''''%%%&&&'''((((((((((((((((((((((((''''''&&&&&&&&&)))'''%%%######%%%''')))'''''''''(((((((((((())))))(((((((((''''''''''''''''''''''''''''''''''''((((((((((((((('''''''''(((((()))***************))))))))))))))))))))))))((('''%%%$$$$$$%%%'''(((((((((((((((((()))*********)))(((''''''&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''((())))))((((((''''''&&&&&&''''''&&&&&&&&&%%%%%%%%%++++++***)))((('''&&&&&&***)))(((''''''((()))***(((((('''(((+++...222555;;;777111+++((('''((()))###!!! ###&&&'''&&&''''''''''''''''''''''''%%%&&&&&&&&&'''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''***)))'''%%%%%%%%%'''(((%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&''''''&&&%%%$$$$$$$$$$$$%%%&&&'''((()))***)))((('''''''''''''''%%%&&&''''''%%%### %%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''(((''''''&&&$$$######"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''$$$$$$$$$###"""!!!!!! $$$$$$%%%&&&&&&''''''(((%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###%%%((('''&&&'''***...:::333***$$$###$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((''''''&&&&&&&&&''''''(((''''''''''''&&&&&&&&&&&&$$$###$$$((()))(((&&&%%%&&&&&&''''''((((((((('''''''''&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%&&&%%%%%%&&&&&&&&&'''''''''&&&&&&'''(((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$(((&&&%%%&&&)))***)))'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&((('''$$$&&&++++++'''&&&'''(((((('''&&&&&&&&&&&&&&&%%%%%%&&&''')))***'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&''')))******)))'''&&&''''''((((((((((((''''''&&&&&&&&&''''''(((((((((&&&&&&''''''(((((())))))'''''''''((((((((((((((((((((('''''''''&&&&&&&&&)))))))))((('''&&&&&&%%%((((((((((((((()))))))))))))))((((((((((((((((((%%%%%%&&&'''''''''''''''((((((((((((''''''''''''((((((((((((((((((((((((''''''''''''(((((((((((())))))((((((((('''''''''''''''''''''''''''''''''(((((((((((((((((((((''''''((())))))******))))))))))))))))))))))))))))))((('''%%%$$$$$$%%%'''((((((((('''((((((((()))***(((((('''''''''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((((((((((((((''''''''''''))))))((((((((('''''''''))))))))))))((((((((((((***)))(((''''''((()))***)))(((((((((***...111333777444///+++((((((((())))))'''$$$$$$'''((((((&&&''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''***)))'''&&&%%%&&&'''(((%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&'''((()))((((((''''''''''''((())))))******)))'''%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''&&&%%%%%%$$$######""""""&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###%%%&&&&&&%%%&&&(((+++:::444---)))((()))))))))&&&&&&&&&&&&&&&&&&&&&&&&***)))((('''&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''(((''''''''''''&&&&&&&&&&&&$$$###$$$''')))(((&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&%%%&&&&&&&&&&&&'''''''''###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&(((&&&&&&&&&((()))((('''&&&&&&''''''((())))))***'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''%%%((()))&&&%%%'''(((&&&'''((()))))))))(((((('''&&&&&&&&&&&&&&&'''((()))''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&'''((())))))((('''&&&''''''((((((((((((''''''$$$%%%&&&'''((()))******(((((((((((((((((((((((('''((((((((())))))))))))(((((((((''''''''''''&&&))))))((((((''''''&&&&&&))))))))))))))))))((((((''''''((((((((((((((((((&&&''''''((((((((((((((('''((((((((((((((())))))((()))***++++++***)))(((&&&&&&'''''''''((((((((()))))))))(((((((((''''''''''''''''''''''''''''''''''''((((((((((((((((((''''''((())))))))))))((())))))))))))))))))))))))((('''&&&%%%%%%&&&'''(((''''''''''''((((((((()))&&&&&&&&&''''''(((******%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''((('''''''''''''''(((((((((((((((((((((((('''''''''''''''(((((())))))******)))((((((''''''(((((()))***)))(((((())),,,///000000///,,,***)))((())))))---+++((('''(((((('''&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''((((((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&%%%&&&'''(((%%%&&&&&&''''''&&&&&&%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&''''''((((((&&&'''((((((((('''%%%$$$''''''''''''''''''''''''(((''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''&&&&&&&&&''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%$$$$$$$$$(((((('''&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%$$$$$$&&&(((000,,,)))'''''''''''''''''''''''''''''''''''''''))))))((('''&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''''''''&&&&&&%%%%%%'''&&&&&&&&&&&&&&&''''''(((''''''''''''&&&&&&&&&%%%$$$$$$%%%'''((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''"""######$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&'''''''''''''''&&&&&&''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&###''')))(((%%%%%%'''((('''''''''((()))***))))))&&&&&&&&&&&&''''''((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&'''(((((('''&&&&&&''''''((((((((((((''''''%%%&&&&&&'''((()))))))))((((((((((((((('''''''''))))))******++++++,,,,,,''''''''''''''''''''''''((((((((((((''''''''''''******))))))(((((('''''''''''''''(((((()))))))))((())))))*********))))))'''''''''(((((()))))))))((())))))******))))))(((&&&&&&'''''''''((((((((()))))))))(((((((((((('''''''''''''''''''''''''''''''''''''''((((((((((((&&&''''''(((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&'''((((((((((((((('''''''''''''''((())))))&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((())))))))))))((((((((((((((((((((((((***)))(((((()))***,,,---******))))))))))))))))))***)))'''&&&&&&%%%%%%$$$'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%'''&&&%%%$$$$$$%%%&&&'''''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''((()))$$$$$$%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&%%%$$$######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%%%%$$$&&&&&&%%%%%%&&&&&&''''''(((''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&'''''''''&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&'''''''''((((((&&&'''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&''''''''''''&&&&&&&&&%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''&&&''''''''''''''''''''''''''''''''''''''''''&&&"""%%%'''(((&&&%%%(((,,,***'''%%%&&&(((++++++***&&&&&&&&&'''''''''''''''''''''''''''''''''''''''(((''''''&&&&&&''''''(((&&&&&&''''''''''''&&&&&&''''''((((((((((((''''''((((((((((((((((((((((((((((((((('''''''''''''''((())))))***++++++,,,,,,''''''(((((((((((((((((((((((())))))))))))))))))+++*********))))))(((((()))))))))******+++++++++))))))*********))))))(((''''''(((((())))))*********)))'''&&&&&&''')))***'''''''''((((((((())))))***)))))))))((((((((((((((((((((((((((((((((((((&&&'''''''''(((((())))))&&&''''''(((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&'''(((((())))))(((((())))))((('''''''''''''''((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((%%%%%%&&&&&&''''''((((((%%%&&&&&&&&&&&&&&&&&&&&&))))))))))))((((((((((((''''''((((((((((((''''''))))))((((((((()))***+++&&&''''''(((((((((((((((%%%%%%&&&&&&%%%%%%%%%%%%''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%'''&&&%%%$$$$$$%%%&&&'''''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&'''((()))&&&&&&''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$%%%%%%%%%%%%###$$$%%%&&&''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''(((''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''&&&&&&'''''''''(((((((((&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&&&&'''((('''%%%%%%%%%'''(((''''''&&&%%%%%%$$$$$$''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''''''''''''''''''''''''''((((((&&&$$$%%%'''((('''***///111,,,'''%%%'''*********&&&&&&''''''(((''''''&&&''''''''''''''''''''''''((((((''''''''''''((((((''''''''''''''''''''''''''''''(((((((((((('''''')))))))))(((((((((''''''((((((((((((((((((((((((''''''((()))***++++++,,,))))))************++++++++++++,,,,,,---------...............------------.........///////////////***++++++++++++***))))))******+++++++++++++++++++++***'''%%%%%%'''***+++(((((()))))))))***************)))))))))(((((((((((((((((((((((((((((((((&&&&&&''''''((()))))))))''''''((())))))))))))((())))))))))))))))))))))))''''''''''''''''''''''''&&&''')))*********)))(((******(((''''''&&&&&&&&&((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&''''''''''''''''''(((((((((((((((******))))))((((((''''''&&&''''''((((((''''''&&&((((((''''''(((((())))))&&&''''''''''''''''''(((###%%%'''''''''&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''(((((($$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$$$$%%%&&&%%%$$$"""$$$&&&'''&&&&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%&&&'''((((((''''''''''''&&&&&&&&&%%%&&&''''''%%%%%%&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((''''''''''''((((((((((((%%%&&&&&&&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$%%%'''((('''%%%$$$%%%'''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&''''''(((((()))))),,,&&&###&&&((((((***///===555+++&&&'''))))))(((&&&&&&'''(((((('''&&&%%%''''''''''''''''''''''''((((((''''''''''''(((((()))(((((((((((((((((()))''''''((((((((((((''''''((((((((((((((())))))))))))))))))******++++++,,,))))))***+++,,,---......------------....../////////000000111222222333333444444444555555555555555555555555555555555444444000111111111111000///...////////////............---,,,+++******+++,,,---************++++++++++++*********)))))))))((((((((((((((((((((((((((((((&&&&&&''''''((())))))***'''((())))))******))))))))))))))))))))))))))))))''''''(((((((((((('''''''''(((***+++,,,+++***))))))(((((('''''''''((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&&&&&&&%%%'''''''''((((((((())))))(((((((((((())))))))))))&&&&&&'''(((((('''&&&&&&&&&&&&&&&''''''((((((((((((((('''&&&&&&&&&''''''###%%%(((((('''%%%&&&(((''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&'''(((''''''&&&%%%%%%%%%&&&&&&%%%$$$$$$#########$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&###!!!"""$$$&&&%%%### """%%%$$$###"""$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&'''$$$$$$$$$$$$%%%&&&'''((((((''''''''''''&&&&&&&&&$$$&&&((('''%%%$$$%%%'''&&&&&&&&&&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((''''''''''''((((((((())))))*********)))(((((('''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%''')))'''$$$###$$$'''&&&&&&''''''((()))))))))''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((%%%&&&&&&'''((()))******222)))###&&&)))(((***...FFF<<<000((('''((('''&&&&&&&&&((((((((('''&&&%%%''''''''''''''''''''''''((((((''''''''''''(((((())))))(((((((((((())))))''''''((((((((((((''''''&&&&&&'''((()))***++++++******+++,,,------......------...///000111222333///000000000111111222222333333444555666666777777999999::::::;;;;;;<<<<<<;;;;;;::::::999999888888777888888888777777666555333333222222111111000000---...///000000///...---******+++++++++,,,,,,,,,************))))))))))))))))))))))))))))))))))))&&&&&&&&&'''((())))))***(((((()))***************))))))))))))))))))))))))''''''((((((((((((''''''''')))+++,,,---,,,***)))''''''&&&''''''((()))***'''''''''''''''''''''''''''''''''&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''(((((('''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&'''((()))***++++++%%%&&&'''(((((('''&&&%%%%%%%%%&&&''''''(((((((((***)))'''&&&%%%%%%&&&'''"""%%%((('''%%%###$$$%%%''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$%%%'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((((('''%%%&&&&&&''''''&&&&&&%%%$$$%%%''''''''''''%%%$$$$$$$$$$$$%%%&&&'''((()))((('''&&&&&&%%%%%%%%%%%%***)))(((''''''''''''(((''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&'''((()))***%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&'''''''''''''''((((((((((((((((((''''''&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$!!! ###%%%$$$""""""%%%&&&%%%###"""$$$'''(((((((((((((((((((((((($$$$$$%%%&&&'''((()))***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$%%%&&&&&&'''((($$$$$$$$$$$$%%%&&&'''((((((((('''''''''&&&&&&&&&$$$'''((('''%%%$$$%%%'''&&&&&&&&&''''''(((((((((%%%%%%%%%&&&&&&'''''''''&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!(((------'''$$$%%%(((&&&&&&&&&%%%%%%$$$$$$$$$'''''''''&&&&&&%%%%%%%%%''''''&&&&&&&&&''''''(((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&''''''((((((((('''&&&%%%%%%%%%%%%%%%'''&&&$$$###$$$&&&((()))&&&&&&&&&''''''''''''((())))))))))))************'''&&&&&&&&&))),,,000222888222+++((())))))'''$$$''''''''''''''''''&&&&&&))))))))))))))))))))))))((((((((((((((('''''''''&&&&&&''''''''''''((((((+++++++++++++++***************+++++++++******)))******+++,,,...000222333111222444555666666555444444555666666777888999999:::999999999:::;;;===>>>AAAAAAAAACCCDDDCCCAAA???AAA@@@???>>>==================????????????=========<<<;;;::::::;;;<<<===999888888777666555444444333333222111000///...------,,,++++++***+++++++++*********)))(((((('''''')))))))))******+++++++++***((($$$""""""%%%(((+++******))))))))))))******(((((((((((((((((((((((())))))************))))))******))))))((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''((((((''''''''''''((((((&&&&&&'''((('''&&&$$$###$$$&&&''''''&&&%%%%%%&&&''''''''''''''''''''''''((((((''''''''''''((((((***'''%%%&&&(((***((('''((((((((('''&&&&&&&&&%%%(((((((((((('''&&&%%%$$$(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&(((((((((''''''&&&&&&&&&&&&'''''''''&&&%%%%%%$$$))))))((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&&&&''''''''''''''''''&&&'''((()))(((&&&%%%%%%'''&&&&&&&&&%%%%%%$$$$$$$$$(((((('''&&&&&&&&&&&&'''$$$$$$$$$$$$%%%&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%$$$$$$%%%%%%&&&'''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%###!!!!!!"""$$$'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%''''''%%%%%%%%%%%%''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$+++***)))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%)))&&&$$$$$$%%%&&&&&&&&&(((((('''&&&&&&&&&&&&'''$$$&&&'''&&&$$$$$$$$$&&&''''''&&&&&&&&&&&&'''''')))(((&&&%%%$$$$$$%%%&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%$$$&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''',,,111000***&&&''')))''''''&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&'''((()))***&&&&&&&&&''''''''''''((()))))))))))))))))))))))))))(((''''''&&&&&&&&&'''&&&&&&%%%%%%%%%&&&'''(((&&&&&&&&&''''''''''''((((((((()))))))))*********(((''''''(((***...222444333---(((&&&((()))(((%%%''''''''''''''''''''''''))))))))))))))))))))))))''''''''''''(((((((((((('''(((((((((((((((((((((************++++++++++++***+++,,,---............//////000111333555666777888888:::<<<<<<===<<<<<<;;;<<<<<<===>>>>>>??????>>>>>>======>>>???AAABBBEEEDDDDDDDDDFFFFFFEEECCCDDDCCCAAA@@@???>>>======@@@AAABBBCCCDDDCCCCCCBBB@@@@@@???>>>>>>???@@@@@@??????>>>>>>===<<<;;;;;;999888888777555444444333222111000///......------,,,,,,++++++***)))))))))((((((((((((((((((((((((+++)))'''%%%%%%''')))+++***))))))(((((())))))***(((((((((((((((((((((((('''(((((())))))((((((''')))))))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''(((''''''''''''''''''(((&&&'''''''''&&&&&&%%%$$$$$$&&&''''''&&&%%%&&&&&&''''''''''''''''''''''''((((((''''''''''''((((((***(((&&&&&&((()))((('''''''''''''''''''''&&&&&&'''''''''(((''''''&&&%%%(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%$$$(((((((((''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&'''(((((('''&&&%%%%%%'''%%%%%%%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&'''((()))&&&&&&%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%%%%$$$$$$%%%%%%&&&'''%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%$$$######%%%''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''((('''''''''&&&&&&''''''''''''''''''&&&&&&&&&%%%%%%''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%(((&&&$$$$$$%%%'''&&&&&&(((''''''&&&%%%&&&&&&&&&$$$%%%&&&&&&%%%$$$%%%&&&''''''&&&&&&&&&&&&'''''''''&&&%%%%%%%%%&&&''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%)))---111///***&&&&&&(((&&&&&&'''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%'''(((***+++&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&))))))(((''''''''''''(((&&&&&&&&&&&&&&&'''''''''&&&&&&&&&''''''''''''((((((((())))))))))))******)))(((((())),,,///333555,,,((($$$$$$'''))))))'''''''''''''''''''''''''''))))))))))))))))))))))))&&&&&&&&&''''''(((((())))))))))))((((((((((((((((((((()))***+++,,,---------...///111333444444444555555666777888:::<<<======>>>@@@AAACCCCCCCCCCCCBBBBBBCCCCCCDDDDDDEEEEEECCCCCCCCCCCCDDDEEEFFFGGGJJJHHHGGGGGGIIIIIIIIIHHHGGGFFFEEECCCAAA@@@???>>>BBBCCCEEEFFFGGGGGGGGGGGGDDDDDDCCCCCCCCCCCCDDDDDDEEEEEEDDDDDDCCCCCCBBBBBB@@@@@@???>>>===<<<<<<;;;:::999888666444222111111/////////...------,,,,,,+++******))))))(((''''''+++***)))(((((()))***+++))))))(((((((((((())))))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''''''''&&&&&&&&&&&&''''''((('''&&&&&&&&&&&&&&&&&&%%%&&&((((((&&&%%%&&&'''''''''''''''''''''''''''((((((''''''''''''(((((()))(((''''''))))))((('''''''''''''''''''''((((((%%%&&&''''''((('''''''''(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%&&&&&&&&&&&&%%%%%%&&&'''((('''&&&%%%&&&'''$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&((()))***''''''&&&&&&%%%$$$$$$$$$''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%&&&&&&''''''&&&&&&%%%###$$$%%%%%%$$$%%%''')))'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''''''''''''''(((((('''''''''&&&&&&&&&######$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$$$$&&&''''''&&&'''&&&&&&%%%%%%%%%%%%%%%###$$$&&&&&&%%%%%%&&&(((''''''&&&&&&&&&&&&''''''%%%%%%$$$%%%%%%'''((()))'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&))),,,+++'''$$$$$$&&&%%%%%%&&&&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&'''((()))***&&&&&&&&&''''''''''''(((%%%%%%%%%$$$$$$$$$$$$###(((((('''''''''''''''(((%%%&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''((((((((((((((()))))))))***((((((((())),,,///222333)))'''$$$$$$'''))))))(((''''''''''''(((((((((((((((((((((((((((((((((((('''''''''''''''''''''((())))))))))))))))))))))))((()))***,,,---///000111333333555777888999999999999999:::;;;<<<>>>@@@AAA@@@AAABBBCCCEEEFFFGGGGGGEEEEEEEEEFFFFFFFFFFFFFFFGGGGGGGGGGGGHHHHHHIIIIIIJJJIIIJJJKKKLLLLLLJJJHHHGGGGGGGGGFFFEEEDDDCCCBBBCCCCCCEEEFFFHHHIIIJJJJJJHHHGGGGGGGGGGGGGGGGGGHHHFFFFFFFFFFFFEEEEEEEEEEEEFFFEEEEEEDDDCCCCCCBBBBBBAAA@@@???===:::888666555444444444333222222111111//////...---+++***)))(((*********))))))))))))))))))(((((((((((((((((()))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&''''''''''''''''''&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&%%%%%%%%%%%%&&&&&&((('''&&&%%%%%%&&&'''(((%%%'''(((((('''&&&&&&'''''''''''''''''''''''''''((((((''''''''''''(((((((((((((((((())))))((((((&&&&&&''''''(((((())))))$$$%%%&&&'''(((((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%########################&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&''''''%%%%%%&&&'''"""######$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&'''((()))&&&&&&&&&&&&&&&%%%%%%$$$''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&%%%%%%&&&((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###""""""###$$$%%%''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&''''''''''''''''''&&&''''''''''''&&&&&&&&&&&&###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$%%%&&&''''''&&&&&&&&&%%%$$$$$$$$$$$$%%%"""$$$&&&&&&%%%&&&''')))'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%((('''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&"""%%%((((((&&&$$$%%%'''$$$$$$%%%%%%&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&&&&''''''&&&&&&&&&''''''''''''((((((((((((''''''''''''''''''&&&&&&%%%&&&&&&''''''&&&''''''(((((('''&&&&&&&&&&&&&&&''''''''''''((('''(((((((((((()))))))))''''''((((((***,,,...///)))((('''&&&'''((()))((('''''''''((((((((())))))(((((((((((((((((((((((()))))))))(((((('''''''''))))))))))))************+++,,,---///111333555555999:::;;;<<<============<<<<<<===>>>???@@@BBBCCCCCCCCCDDDEEEFFFGGGHHHIIIHHHHHHHHHGGGGGGGGGGGGGGGHHHHHHIIIIIIIIIIIIIIIIIIGGGHHHJJJMMMOOOMMMHHHEEEFFFGGGHHHHHHIIIHHHHHHGGGDDDEEEEEEGGGIIIJJJLLLLLLIIIIIIIIIIIIIIIIIIIIIIIIGGGGGGGGGGGGGGGGGGHHHHHHIIIIIIHHHHHHGGGGGGFFFFFFGGGFFFEEEDDDAAA>>><<<:::::::::999999888777777777333333111000...,,,+++***************))))))((('''))))))(((((((((((())))))))))))))))))))))))))))))(((((())))))))))))((((((&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&%%%%%%%%%%%%&&&&&&((('''&&&%%%%%%&&&((()))%%%'''(((((('''&&&&&&'''''''''''''''''''''''''''((((((''''''''''''(((((('''((()))***))))))((((((&&&''''''(((((()))))))))$$$$$$&&&'''(((((())))))(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%########################&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$&&&'''&&&%%%%%%&&&'''#########$$$$$$%%%%%%&&&'''&&&&&&%%%%%%%%%&&&&&&$$$%%%&&&''''''''''''&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%&&&&&&''''''&&&&&&%%%$$$&&&'''&&&$$$######$$$'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&'''(((((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$%%%'''((('''&&&&&&&&&%%%$$$$$$$$$$$$%%%###$$$&&&&&&&&&&&&((()))&&&&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&%%%%%%$$$$$$((('''&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###%%%''''''''''''((()))$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''')))((('''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&'''''''''((((((&&&%%%%%%%%%%%%&&&''''''((((((((('''''''''''''''&&&&&&&&&''''''''''''(((''''''(((((((((((())))))'''''''''((((((***++++++)))))))))((((((((())))))'''''''''(((((())))))***))))))))))))))))))))))))*********)))))))))((((((******+++,,,---......///000111222444777888:::;;;>>>???@@@@@@AAAAAAAAAAAA@@@@@@@@@AAABBBCCCDDDEEEGGGGGGGGGGGGGGGHHHJJJJJJKKKJJJJJJIIIIIIHHHHHHHHHGGGHHHHHHIIIIIIHHHHHHGGGEEEFFFIIILLLMMMKKKGGGCCCEEEGGGHHHJJJKKKKKKKKKJJJFFFGGGGGGHHHJJJKKKMMMNNNJJJJJJKKKKKKKKKKKKJJJJJJJJJJJJJJJKKKKKKLLLLLLLLLLLLLLLLLLKKKKKKKKKJJJJJJKKKKKKKKKJJJHHHFFFCCCBBB@@@@@@??????>>>=========777666555444222000///...---,,,,,,,,,+++***************))))))))))))******))))))))))))))))))))))))))))))************))))))'''''''''''''''(((((((((''''''''''''''''''''''''''''''((((((((((((''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''((()))&&&'''))))))'''&&&'''(((''''''''''''''''''''''''((((((''''''''''''((((((''')))++++++***(((((()))(((((((((((((((((())))))$$$%%%&&&'''(((((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%&&&&&&%%%%%%&&&'''%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&%%%%%%%%%%%%%%%###$$$&&&'''((((((''''''''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%&&&&&&''''''&&&&&&%%%%%%&&&'''&&&$$$""""""###'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((%%%&&&'''(((((('''&&&%%%&&&&&&%%%%%%%%%$$$$$$$$$((((((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&(((((('''&&&'''&&&&&&%%%%%%%%%%%%%%%$$$%%%''''''&&&&&&''')))&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''&&&%%%$$$###%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%$$$$$$)))'''&&&$$$$$$%%%&&&'''''''''''''''''''''''''''&&&''''''''''''''''''(((&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''(((''''''&&&&&&&&&''''''&&&&&&&&&''''''''''''(((######$$$%%%&&&''''''(((&&&&&&&&&&&&&&&'''((((((***)))(((&&&&&&&&&'''(((&&&&&&&&&''''''''''''((('''''''''((((((((())))))(((((((((((((((((((((((('''((((((((((((((()))***&&&''''''((())))))******))))))))))))))))))))))))((())))))***+++,,,,,,,,,,,,,,,...///111333444444666666888:::<<<===?????????@@@AAACCCDDDEEEEEEEEEDDDDDDDDDEEEFFFGGGHHHIIIIIIHHHGGGFFFGGGGGGHHHIIIKKKJJJJJJIIIHHHHHHGGGGGGFFFGGGHHHHHHHHHGGGFFFFFFGGGFFFFFFHHHIIIIIIGGGEEEGGGHHHJJJLLLLLLLLLKKKJJJFFFFFFFFFFFFHHHIIIKKKLLLKKKKKKLLLMMMMMMLLLKKKKKKLLLLLLMMMNNNNNNOOOPPPPPPPPPPPPPPPPPPOOOOOOOOOOOONNNOOOPPPPPPOOOMMMKKKIIIEEEEEEDDDDDDCCCBBBBBBBBB>>>===<<<:::999777666666333222111000////////////++++++************++++++)))))))))))))))))))))))))))******************)))'''''''''(((((()))))))))''''''''''''''''''''''''''''''((((((((((((''''''(((''''''''''''''''''(((&&&&&&'''(((((((((((((((&&&'''))))))'''''''''(((''''''''''''''''''''''''((((((''''''''''''((((((&&&))),,,,,,***(((((())))))))))))(((((((((((((((%%%%%%&&&'''((((((((('''(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&'''''''''$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''(((((('''''''''&&&&&&''''''''''''&&&&&&###%%%&&&&&&%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&$$$&&&'''(((((((((&&&%%%''''''&&&&&&&&&%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%&&&&&&''''''&&&&&&%%%$$$&&&''''''&&&%%%$$$%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&''''''&&&%%%$$$$$$$$$%%%%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((%%%&&&((())))))(((&&&%%%'''&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$&&&((()))'''&&&(((''''''&&&%%%&&&&&&&&&%%%'''((('''&&&&&&'''(((&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&'''''''''&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''''')))'''&&&$$$$$$%%%&&&''''''''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%(((((((((''''''&&&&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&'''((()))&&&&&&&&&'''''''''((((((%%%&&&'''(((***+++,,,,,,'''''''''''''''((()))***+++***'''&&&%%%&&&((()))&&&&&&&&&'''''''''((((((''''''''''''((((((((()))******))))))((((((''''''$$$%%%'''(((((()))***,,,&&&''''''((()))******+++))))))))))))))))))))))))&&&'''(((***,,,...000000...///000222444666888999999:::;;;===???@@@BBBBBB>>>???BBBDDDFFFHHHIIIIIIHHHHHHHHHHHHIIIKKKLLLLLLHHHGGGFFFDDDDDDEEEFFFFFFIIIIIIHHHGGGFFFEEEEEEDDDFFFFFFGGGHHHHHHGGGFFFEEEJJJGGGEEEDDDEEEGGGHHHHHHIIIJJJKKKMMMLLLKKKJJJHHHDDDCCCCCCCCCDDDFFFHHHIIILLLLLLNNNNNNNNNNNNLLLLLLLLLMMMMMMNNNOOOPPPQQQQQQTTTTTTSSSSSSSSSSSSSSSSSSPPPQQQSSSTTTSSSRRRPPPOOOHHHHHHGGGGGGFFFEEEEEEEEEDDDDDDCCCAAA@@@???>>>===888666555333222222333333,,,,,,++++++++++++,,,,,,))))))))))))))))))))))))))))))************))))))'''((((((((())))))******((((((((((((((((((((((((''''''((((((((((((''''''((((((''''''''''''((((((%%%&&&((()))))))))((('''&&&((())))))(((''''''(((''''''''''''''''''''''''((((((''''''''''''((((((&&&))),,,---***(((((()))******))))))((((((''''''%%%&&&''''''((('''''''''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&&&&''''''((((((((($$$%%%%%%&&&'''''''''&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&&&&''''''((((((''''''&&&###$$$&&&%%%%%%%%%&&&'''(((((((((''''''&&&&&&&&&#########$$$%%%&&&'''(((&&&'''))))))((('''%%%###''''''&&&&&&&&&%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%&&&&&&''''''&&&&&&%%%###%%%(((((((((''''''((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''%%%%%%%%%%%%&&&&&&'''((())))))$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((%%%&&&((())))))(((&&&%%%(((((('''''''''&&&&&&&&&###$$$$$$%%%'''(((((()))%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$&&&((()))'''&&&(((((('''&&&&&&&&&&&&'''&&&'''((((((&&&%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&###$$$&&&'''(((''''''&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&""""""$$$%%%'''((()))***(((((('''''''''&&&&&&&&&$$$$$$%%%&&&&&&''''''(((&&&&&&&&&'''((('''%%%"""&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''((((((((((((***)))((('''&&&%%%$$$$$$((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((()))%%%&&&''''''((()))******(((((())))))))))))(((((((((((())))))((('''&&&&&&))))))((((((((())))))***))))))(((((()))***,,,---))))))***,,,---///000111444555555777888999:::;;;<<<<<<===>>>???AAABBBCCCFFFDDDCCCDDDGGGIIIIIIHHHJJJJJJJJJJJJIIIIIIIIIIIIDDDEEEFFFGGGGGGGGGGGGGGGKKKIIIGGGFFFEEEFFFGGGHHHJJJJJJIIIGGGEEEDDDBBBAAADDDAAAFFFHHHDDDIIINNNHHHNNNMMMLLLKKKHHHDDDAAA???@@@????????????@@@AAAAAAFFFJJJOOOQQQQQQOOONNNMMMOOOOOONNNMMMNNNOOOPPPQQQQQQSSSUUUVVVVVVUUUWWWXXXWWWVVVUUUSSSRRRPPPOOOOOOLLLKKKJJJJJJIIIIIIJJJJJJGGGHHHHHHHHHHHHGGGFFFFFF@@@>>>===;;;:::777333000555222///---------,,,+++++++++***)))((((((''''''(((((('''''''''((())))))))))))))))))((((((((((((((((((''''''''''''((((((******))))))((((((''''''(((((('''''''''&&&&&&&&&(((((((((((((((((((((((()))((('''&&&''')))+++,,,))))))(((((('''''''''&&&'''''''''''''''''''''''''''((((((((()))))))))***((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((('''&&&%%%$$$$$$&&&((()))'''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%(((''''''''''''&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&%%%&&&)))((($$$$$$'''&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&''''''(((&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&&&&$$$$$$%%%&&&''''''''''''''''''''''''(((((('''''''''&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%$$$$$$###"""%%%%%%%%%%%%&&&&&&''''''%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%(((%%%$$$%%%'''(((&&&$$$&&&&&&%%%%%%&&&&&&''''''&&&&&&&&&'''&&&&&&%%%$$$''''''(((((())))))******%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''((((((((((((((('''''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((('''''''''(((((()))******(((((())))))))))))(((((())))))******))))))((('''((((((((('''(((((())))))+++***))))))))))))***+++***+++---///111222333333777777888999:::<<<<<<=========>>>@@@AAACCCEEEFFFHHHGGGFFFGGGIIIJJJIIIHHHJJJJJJJJJIIIIIIHHHHHHHHHCCCDDDEEEEEEFFFFFFEEEEEEHHHGGGEEEDDDCCCDDDEEEFFFGGGGGGEEECCCBBBAAA@@@@@@AAA>>>DDDFFFDDDKKKPPPJJJKKKJJJIIIFFFCCC???<<<::::::::::::::::::;;;<<<===@@@DDDIIILLLKKKJJJHHHHHHIIIJJJLLLNNNPPPPPPQQQQQQTTTVVVXXXYYYXXXWWWXXXXXXTTTTTTSSSRRRQQQPPPOOONNNJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJIIIHHHGGGFFFDDDBBBAAA@@@@@@>>>:::888;;;888555333222222000///+++++++++******))))))(((((((((((((((((()))*********)))))))))((((((((((((((((((''''''''''''((((((***)))))))))((((((((('''(((((('''''''''&&&&&&&&&((((((((((((((((((((((((***)))(((&&&&&&'''((())))))(((((((((''''''''''''''''''''''''''''''''''''((((((((((((((()))))))))((((((((((((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%$$$#########$$$%%%&&&'''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&(((''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&%%%&&&))))))%%%$$$'''&&&&&&%%%$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''((((((((()))))))))***$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&&&&$$$$$$%%%&&&'''''''''&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%((('''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$%%%'''(((&&&$$$"""$$$&&&'''((('''&&&%%%'''''''''((((((((((((((('''''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&''''''''''''''''''&&&&&&&&&(((((('''&&&&&&%%%$$$$$$%%%'''((('''$$$###%%%(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''((((((((((((&&&&&&&&&''''''(((((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&&&&'''''''''***)))(((''''''((()))***(((((())))))))))))((((((******++++++******))))))'''''''''''''''((()))***,,,,,,+++************+++...///111444666666666666;;;;;;<<<===>>>???????????????AAACCCEEEGGGIIIJJJKKKKKKJJJKKKLLLKKKIIIGGGIIIHHHHHHGGGFFFEEEEEEDDD@@@AAAAAABBBBBBBBBBBBBBBCCCBBB@@@?????????@@@AAAAAA@@@>>><<<;;;;;;;;;;;;;;;999???BBBAAAKKKPPPHHHEEEDDDBBB???;;;777444222333333333333444555666777:::>>>BBBEEEDDDCCCBBBAAAAAADDDIIIMMMPPPQQQPPPPPPSSSVVVYYYZZZXXXWWWVVVVVVRRRRRRRRRRRRQQQPPPOOONNNIIIJJJJJJKKKKKKKKKJJJJJJNNNMMMMMMLLLKKKJJJHHHGGGHHHFFFFFFFFFGGGFFFDDDBBBCCC@@@===;;;:::999777555...------,,,,,,++++++***)))))))))((()))******+++******)))))))))((((((((()))((((((''''''(((((()))))))))))))))(((((((((((((((((((((''''''''''''&&&((((((((((((((((((((((((+++)))(((&&&%%%&&&&&&'''((((((((((((''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((''''''((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''(((''''''''''''&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&$$$%%%((((((%%%$$$&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%'''((()))))))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$&&&'''&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&&&&'''(((((((((((((((((('''&&&$$$%%%&&&''''''&&&$$$###***)))'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%''''''&&&%%%"""%%%((()))(((%%%###'''''''''''''''((()))***''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$###$$$%%%'''(((''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%((()))'''"""!!!%%%***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''((((((((((((''''''''''''((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&'''''''''((((((***)))'''&&&&&&'''((()))(((((())))))))))))(((((()))***************))))))''''''''''''((()))***+++,,,,,,,,,,,,------......222333666888:::;;;;;;:::>>>>>>??????@@@@@@AAAAAAAAABBBDDDFFFHHHJJJLLLMMMNNNMMMMMMNNNNNNLLLHHHEEEDDDCCCCCCBBBAAA@@@??????;;;<<<<<<======<<<<<<<<<:::999999888888888999999888777555444333333444555555444999;;;;;;FFFKKKAAA;;;:::999666333111///---............///111222333777;;;???AAAAAA????????????AAADDDHHHKKKLLLLLLLLLPPPSSSVVVWWWVVVTTTSSSSSSQQQRRRRRRRRRRRRQQQPPPOOOJJJKKKLLLMMMNNNMMMMMMLLLQQQQQQPPPOOONNNLLLKKKJJJIIIHHHGGGIIIJJJKKKJJJIIIJJJGGGDDDCCCBBB@@@>>><<<444444222111///...---,,,******)))))))))******+++*********)))))))))(((((())))))(((((((((((())))))))))))))))))((((((((((((((((((((('''''''''''''''(((((((((((((((((((((((()))((('''&&&&&&&&&&&&&&&(((((((((((((((''''''''''''''''''''''''''''''''')))(((((((((((('''''''''''''''''''''((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%"""###'''(((%%%###%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))***+++,,,+++***'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&'''&&&%%%$$$%%%'''%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((()))))))))(((((('''&&&'''(((((((((&&&$$$###)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&& """$$$'''((('''&&&%%%&&&&&&%%%%%%%%%%%%''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$######%%%''')))&&&'''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%((()))'''"""!!!%%%***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''(((((((((((())))))((((((((('''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((()))))))))))))))((('''&&&&&&&&&'''((((((((())))))))))))(((((((((((()))******)))))))))((((((((()))***+++---...,,,,,,...000111333444444555777999;;;===>>>>>>>>>@@@@@@AAAAAAAAAAAAAAAAAABBBDDDFFFHHHJJJKKKKKKLLLMMMLLLLLLLLLKKKIIIEEEAAA<<<<<<;;;::::::999888888666666666777777666666555222222111111111222222222111000///......///000111111111444444555AAAEEE777444333222000///...------------------...///000111777:::>>>??????>>>>>>>>>??????@@@AAABBBDDDEEEFFFKKKMMMQQQRRRRRRQQQQQQRRRRRRSSSTTTTTTTTTRRRQQQOOOJJJKKKLLLMMMNNNOOOOOOOOORRRRRRRRRQQQQQQOOONNNNNNIIIHHHHHHIIIKKKMMMMMMLLLNNNLLLIIIHHHGGGFFFCCCAAA===<<<:::777444111///...,,,,,,+++***************************))))))))))))))))))(((((((((((())))))(((((((((((())))))))))))((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&&&&&&&&&&'''(((((('''''''''(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''&&&'''''''''(((((())))))''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''(((((('''&&&%%%$$$$$$###'''''''''&&&&&&&&&%%%%%%&&&&&&'''''''''((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&+++...***'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''''''''$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((*********(((&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%&&&''''''%%%%%%&&&'''%%%%%%%%%&&&&&&'''''''''((((((((((((''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((''''''(((((())))))((('''&&&%%%&&&&&&&&&&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&%%%&&&&&&######$$$%%%%%%&&&''''''((('''&&&%%%%%%%%%%%%%%%$$$$$$%%%&&&'''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$&&&((()))&&&&&&&&&'''''''''''''''$$$$$$%%%%%%&&&'''((((((%%%'''((('''$$$###%%%(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''(((((((((((()))))))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((()))))))))*********'''''''''((((((((((((((((((((())))))))))))(((((('''((())))))***))))))))))))******+++---///000111...///111444666888999:::999999;;;<<<>>>???AAABBBCCCBBBBBBBBBBBBBBBBBBBBBDDDEEEGGGHHHIIIIIIHHHGGGHHHFFFEEEDDDDDDAAA>>>;;;444444444444333333333333222222222222222222111000.........///////////////...//////000000111111111333222555333444AAADDD444222222111000//////000000///////////////000000111555888;;;===<<<<<<<<<<<<===<<<;;;::::::;;;===>>>DDDFFFIIIKKKLLLNNNPPPRRRSSSTTTUUUUUUTTTRRRPPPOOOHHHHHHIIIIIIJJJLLLNNNOOOPPPQQQRRRRRRSSSSSSRRRRRRMMMKKKJJJKKKMMMOOOPPPOOOOOONNNLLLLLLLLLJJJGGGEEEDDDCCC@@@===:::777555444111000///---,,,+++++++++++++++*********)))))))))***))))))(((((())))))***(((((((((((())))))))))))'''(((((((((((()))))))))((((((((((((((((((((((((%%%&&&&&&'''(((((())))))'''''''''(((((((((((((((((((((((((((((((((((((((&&&&&&'''''''''(((((((((&&&&&&''''''((()))))))))''''''''''''''''''''''''(((((((((((((((((((((((($$$%%%%%%%%%&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''++++++***)))((('''&&&&&&''''''''''''&&&&&&&&&%%%&&&&&&&&&'''''''''(((((((((''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''***(((+++333666222,,,)))&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''$$$%%%%%%&&&&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&''''''(((''''''&&&&&&&&&&&&''''''%%%'''((('''&&&%%%&&&'''%%%&&&&&&''''''((((((((()))))))))((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''''''''''''''((((((((('''''''''''''''$$$$$$%%%%%%&&&((()))***&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''%%%%%%&&&'''&&&&&&%%%%%%%%%&&&'''((((((((())))))(((((('''&&&$$$$$$%%%'''((()))***+++&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((&&&&&&&&&'''''''''((((((%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((((()))))))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((())))))))))))&&&''')))+++++++++***)))(((((())))))))))))((((((((()))******++++++******,,,,,,---...000222444555222444666999;;;<<<<<<<<<;;;;;;;;;;;;===@@@BBBDDDEEEEEEDDDDDDDDDCCCCCCCCCEEEFFFGGGHHHGGGEEECCCBBB@@@>>>;;;:::999888666333////////////000000000000000000111111000000///...//////000000111111111111111222444666777777666555777888:::777999HHHJJJ888777666555444333333333444222222111000000000111111111333666777777777777888777777777777666666555555:::<<<>>>AAACCCGGGKKKOOOSSSSSSUUUUUUTTTQQQNNNLLLCCCCCCBBBBBBCCCFFFIIIKKKNNNOOOQQQSSSTTTUUUVVVVVVSSSQQQPPPPPPRRRSSSTTTSSSPPPOOONNNOOOOOONNNKKKIIIHHHGGGEEECCC@@@>>><<<;;;777666444111///...---,,,+++++++++*********))))))******))))))))))))******'''((((((((()))))))))***'''((((((((())))))))))))(((((((((((((((((((((((('''((((((((()))(((((((((''''''''''''((((((((()))(((((((((((((((((((((((($$$%%%%%%&&&'''((())))))&&&&&&''''''((())))))***''''''''''''''''''''''''''''''''''''''''''''''''$$$$$$$$$$$$%%%&&&((()))%%%%%%&&&''''''&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''((((((((((((((((((((((((''''''''''''&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''(((''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''***)))...777;;;666---(((%%%&&&'''(((((('''&&&%%%''''''''''''''''''''''''$$$$$$$$$#########""""""$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))''''''&&&&&&&&&&&&''''''&&&'''((('''&&&%%%&&&(((&&&&&&'''(((((()))******)))(((((((((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&''''''(((((('''''''''&&&%%%$$$$$$%%%'''(((%%%%%%$$$%%%%%%&&&'''(((''''''''''''''''''''''''$$$&&&((('''%%%$$$&&&'''''''''((((((((('''&&&%%%###%%%(((***+++***((('''%%%%%%&&&'''((())))))***''''''''''''''''''''''''%%%%%%'''((((((((('''&&&&&&&&&&&&'''''''''(((((((((''''''&&&&&&%%%%%%$$$&&&&&&&&&'''((('''%%%"""&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''((((((((()))&&&&&&'''((()))***++++++&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((()))&&&(((+++...///...,,,+++(((((())))))))))))(((((()))***+++,,,,,,,,,,,,,,,------...000222444666777666888:::<<<===>>>=========<<<::::::<<>>:::777444333222111000...,,,,,,------...//////000000000111111000///......111111222333444444333333444666:::<<<======;;;:::;;;<<<>>><<<>>>NNNQQQ>>>===<<<999888666666666666444444333222111111111111---///222333333222333444111333555666555444111///111222555777;;;@@@FFFJJJRRRSSSTTTTTTSSSPPPLLLJJJ???>>><<<;;;===AAAEEEGGGLLLNNNPPPSSSUUUWWWXXXYYYYYYWWWUUUUUUVVVWWWXXXWWWQQQPPPPPPPPPQQQPPPNNNKKKHHHHHHGGGEEEDDDBBBAAAAAA;;;:::888555222000///...+++++++++************)))******))))))))))))******'''((((((((())))))******'''((((((((())))))******((((((((((((((((((((((((************)))((('''&&&&&&'''''''''(((((())))))))))))))))))))))))))))))###$$$%%%&&&''')))******&&&&&&&&&'''((())))))***((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&))),,,---%%%%%%&&&''''''&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''""""""###$$$%%%''''''((((((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&'''''''''''''''---777<<<666,,,&&&%%%&&&'''(((((('''&&&%%%'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&'''((()))***''''''&&&&&&&&&&&&''''''&&&'''((('''&&&&&&'''((('''''''''((()))******+++(((((('''''''''&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&'''(((((()))((((((&&&$$$"""!!!!!!$$$&&&(((&&&&&&%%%$$$$$$$$$%%%%%%''''''''''''''''''''''''$$$&&&((('''%%%$$$%%%(((&&&(((***++++++(((%%%### $$$(((******)))'''&&&&&&''''''''''''''''''''''''''''''''''''''''''$$$%%%'''))))))((('''%%%''''''''''''''''''&&&&&&&&&&&&&&&'''''''''(((((("""'''***)))%%%$$$'''+++))))))(((((('''''''''&&&''''''''''''((((((((((((***)))((('''''''''''''''''''''''''''((((((((((((&&&'''((())))))((('''&&&(((((((((((())))))))))))))))))))))))))))))))))))''''''((()))))))))))))))*********)))))))))))))))+++***(((''''''((())))))((()))***+++,,,---------111222444555777888888888<<<===@@@BBBCCCCCCBBBAAA>>>>>>>>>???@@@AAABBBCCCHHHHHHHHHHHHGGGEEECCCAAAEEEDDDBBB>>>;;;777555444000000000000000000000000,,,,,,,,,---...///000111222222222333333555666666555555555666777:::===>>>BBBBBBAAA@@@BBBDDDFFFHHHFFFDDDHHHHHHFFFOOOXXXRRRIIIHHHFFFDDDCCCAAAAAA@@@EEECCCAAA===:::666444222222111000000000111333444111222333333222111///...222111111222444777:::<<>><<<:::777444222111------------------------............///000111222555555555666777999;;;;;;<<<===>>>@@@BBBDDDFFFHHHHHHGGGFFFEEEFFFHHHJJJKKKOOOKKKNNNMMMHHHPPPWWWQQQNNNNNNLLLKKKIIIHHHHHHHHHIIIGGGEEECCC???<<<:::999666666444333333333444444777888888888888777666555333333333333444555777888;;;<<<===>>>???@@@@@@@@@;;;888555444555666777777======@@@GGGOOOVVVZZZ[[[]]]^^^___^^^\\\[[[\\\]]]XXXWWWWWWVVVUUUTTTTTTSSSOOOPPPPPPPPPNNNLLLIIIHHHGGGDDDAAA??????>>><<<:::666666555333111///---,,,+++***************++++++((()))*********)))(((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''((((((((())))))&&&&&&%%%$$$%%%%%%'''''''''''''''((((((((((((((('''''''''((((((((())))))''''''''''''''''''''''''((((((''''''''''''((((((''''''(((((((((((('''''''''&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''%%%###$$$&&&'''%%%###%%%%%%&&&&&&''''''''''''(((((('''''''''&&&&&&&&&%%%&&&''''''((((((''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''"""$$$&&&((()))(((&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%(((((('''&&&%%%%%%%%%%%%$$$%%%%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''&&&((()))***+++***)))(((&&&&&&%%%%%%%%%$$$$$$$$$'''&&&%%%&&&'''((('''&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%))))))(((((((((((())))))'''&&&&&&&&&&&&''''''(((''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''((()))(((((((((((('''''''''&&&&&&&&&'''((()))))))))'''''''''''''''''''''''''''''''''''''''''''''''')))((((((((('''''''''&&&%%%&&&&&&'''(((((())))))'''&&&***000222---((('''&&&&&&''''''((('''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''''''''''''''''''''(((((((((((((((((('''''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((())))))************))))))(((((((((((())))))))))))))))))))))))))))))))))))''''''((()))))))))))))))************************,,,+++***))))))***,,,,,,***+++---///111222333444444666888:::===>>>???@@@EEEFFFGGGGGGGGGFFFDDDCCCDDDDDDCCCBBBBBBBBBBBBBBBCCCBBBBBBAAA???===;;;:::777666555444222111000000------------------------000000000000111222333333777777888:::<<<>>>@@@AAADDDFFFHHHJJJLLLNNNOOOOOOLLLKKKJJJIIIIIIJJJKKKLLLRRRNNNQQQOOOJJJQQQXXXRRRQQQQQQPPPPPPOOOOOONNNNNNNNNMMMLLLJJJHHHEEECCCBBB>>>===;;;999777666666666======>>>?????????>>>>>>999999999888777666555555444555666777888888888888888555222111111222222222666666888>>>HHHRRRYYY]]]___```aaa```___]]]]]]^^^ZZZZZZYYYYYYXXXXXXXXXWWWRRRRRRSSSSSSRRRPPPNNNMMMIIIGGGDDDCCCCCCCCCBBB@@@:::;;;;;;:::888555111000,,,++++++***++++++,,,,,,(((((()))******))))))(((((((((((((((((((((((((((((((((((((((((((((((((((''''''((((((((()))))))))$$$$$$$$$$$$%%%&&&'''((()))((('''&&&'''((()))***'''''''''(((((()))))))))((((((((((((((((((((((((((((((''''''''''''((((((''''''((((((((((((''''''''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&$$$""""""$$$%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&%%%&&&''''''((((((''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''######$$$%%%%%%$$$$$$###''''''''''''''''''''''''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&((('''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&'''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''&&&%%%%%%%%%%%%%%%$$$$$$(((((('''''''''&&&&&&&&&%%%$$$###$$$&&&((('''&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%(((((())))))))))))((((((&&&&&&%%%&&&&&&'''((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''((()))(((((((((((('''''''''&&&&&&&&&'''(((((())))))''''''''''''''''''''''''''''''''''''''''''''''''((((((((('''''''''''''''%%%%%%%%%&&&&&&''''''(((&&&$$$%%%+++,,,)))&&&&&&'''''''''(((''''''&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&'''''''''((('''&&&&&&&&&&&&'''((((((&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&%%%&&&'''((('''&&&''''''''''''''''''''''''''''''''''''(((((((((((('''(((((((((((((((''''''''''''''''''((((((((((((''''''((((((((((((''''''(((((((((((())))))))))))((((((((((((((((((((((((''''''((())))))))))))))))))***************+++++++++******)))***+++------,,,---000222555777888999666777:::<<<>>>@@@AAABBBFFFFFFGGGHHHGGGGGGFFFEEECCCBBBAAA@@@???>>>>>>>>><<<;;;;;;999888666555444222222222222111111111111000000000000000000000000222222111111222333333444777777999;;;===@@@BBBDDDHHHJJJLLLNNNOOOOOONNNNNNJJJJJJHHHGGGGGGGGGHHHHHHJJJGGGKKKKKKIIIRRRZZZTTTOOOOOOPPPPPPPPPPPPPPPPPPRRRRRRRRRQQQOOONNNLLLJJJFFFEEECCC@@@>>>;;;:::999>>>>>>@@@AAACCCDDDEEEEEEBBBBBBBBBBBB@@@===:::888777777888888888777666666555333111000111333333333333333444888AAAKKKTTTYYY[[[]]]___```_________```\\\\\\\\\\\\\\\\\\\\\\\\VVVVVVVVVUUUTTTRRRPPPOOOJJJIIIGGGGGGGGGHHHGGGFFF@@@@@@AAAAAA???;;;777555000///...,,,++++++******(((((())))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((('''(((((((((((()))))))))''''''''''''(((((())))))((((((((('''((())))))***))))))))))))))))))))))))))))))))))))))))))))))))((((((''''''''''''((((((''''''((((((((((((''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''%%%#########%%%'''(((''''''&&&&&&&&&'''''''''''''''''''''''''''''''''%%%&&&''''''((('''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''''''''''''((((((((((((%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&'''''''''''''''((()))***((('''&&&%%%%%%%%%%%%%%%%%%&&&&&&''''''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&$$$###"""""""""###%%%%%%&&&'''((())))))***$$$###"""$$$&&&''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%''''''''''''%%%$$$)))((('''&&&%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((((()))))))))&&&######''')))'''%%%&&&'''((((((((('''&&&%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&''''''(((((('''&&&&&&&&&&&&'''((((((&&&&&&&&&'''''''''(((((('''''''''''''''''''''&&&&&&%%%$$$$$$&&&&&&%%%$$$&&&&&&&&&'''''''''''''''''''''''''''((((((((((((&&&'''(((((()))(((''''''''''''''''''((((((((((((((((((''''''''''''(((((((((((((((((())))))))))))((((((((((((((((((((((((''''''((()))))))))))))))))))))******+++++++++,,,******))))))***,,,...//////111333666999;;;<<<===;;;<<<>>>@@@BBBCCCDDDDDDGGGGGGFFFEEECCCBBB@@@???===<<<;;;:::999888888888555555444444333333222222444444444555555555555666333333333333333333333333444333333333333444444555666777888999<<<>>>AAABBBIIIJJJKKKLLLLLLKKKIIIHHHGGGFFFFFFEEEDDDDDDDDDDDDAAA>>>CCCDDDCCCMMMVVVQQQKKKLLLMMMOOOPPPQQQQQQQQQTTTTTTUUUUUUTTTSSSQQQOOOMMMLLLKKKHHHEEEBBB@@@>>>======???AAACCCFFFHHHIIIJJJKKKLLLLLLJJJGGGDDDBBB@@@@@@???>>>===;;;999888888555333333333444333222222111111444999@@@IIINNNTTTWWW[[[^^^___```aaaccc]]]]]]^^^^^^______``````[[[[[[YYYWWWTTTRRROOONNNLLLJJJIIIIIIJJJKKKKKKJJJEEEFFFGGGGGGEEEBBB>>><<<888666444111...+++***)))******)))))))))*********))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((()))))))))***************))))))((((((&&&''')))***+++***)))(((---,,,++++++***)))((((((((((((((((((((((((((((((((((((''''''''''''((((((''''''((((((((((((''''''(((''''''&&&&&&''''''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%$$$&&&(((***(((''''''&&&&&&&&&'''(((&&&'''''''''''''''''''''%%%&&&''''''((('''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((%%%%%%&&&&&&&&&'''''''''%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''((('''&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$'''''''''((((((''''''&&&'''&&&&&&%%%%%%&&&&&&'''''''''''''''(((((()))***''''''&&&%%%%%%%%%&&&&&&%%%%%%&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((,,,+++)))'''&&&&&&''''''$$$$$$%%%&&&'''((())))))$$$###"""$$$&&&''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$((('''&&&%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''''''''(((((())))))))))))******+++'''&&&***,,,***)))+++'''((((((((('''&&&%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''((((((((('''&&&&&&&&&&&&'''((((((%%%%%%&&&&&&'''((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&'''''''''''''''''''''((((((((((((&&&&&&((()))))))))((('''''''''''''''((((((((((((******))))))))))))******(((((((((((())))))))))))))))))))))))))))))))))))''''''((()))))))))))))))))))))******+++,,,,,,,,,+++******+++,,,...000111333444777:::<<<>>>???@@@AAABBBCCCDDDEEEEEEEEEEEEGGGEEECCC???<<<999666555666666555444444444444444222222222333444555666777;;;;;;;;;;;;;;;;;;<<<<<<666666666666666666666666666666555555555666666777777777888999:::<<<>>>???GGGGGGGGGGGGGGGFFFEEEDDDCCCCCCCCCCCCBBBBBBAAAAAA===;;;???@@@>>>GGGPPPKKKIIIJJJMMMPPPRRRSSSSSSSSSUUUVVVWWWXXXWWWUUUSSSQQQSSSRRRQQQOOOLLLIIIFFFEEE@@@@@@AAABBBDDDFFFHHHIIINNNOOOPPPQQQQQQPPPNNNLLLIIIHHHHHHFFFDDDBBB@@@???AAA>>>;;;999888666444222111111222222333777<<>>@@@BBBBBBBBBBBBAAAAAAAAAAAA;;;;;;;;;;;;;;;;;;;;;;;;::::::999999999999999:::::::::::::::;;;;;;<<<===@@@@@@@@@@@@@@@AAAAAABBB>>>????????????>>>>>>======:::>>>???<<>>@@@AAABBBCCCCCCCCCBBBAAA@@@>>><<<;;;555444333222111111111222000000000111222333555555666777888:::>>>BBBEEEGGGGGGGGGFFFFFFEEEDDDDDDDDD@@@@@@@@@@@@@@@@@@@@@@@@===<<<<<<;;;;;;;;;<<<<<<>>>===<<<<<<<<<<<<<<<===::::::999999;;;===???@@@::::::;;;;;;;;;;;;::::::<<<:::>>>@@@>>>HHHPPPKKKEEEGGGKKKOOORRRTTTTTTTTTWWWXXXZZZZZZYYYWWWTTTRRRWWWWWWWWWVVVUUURRRPPPOOOQQQPPPMMMKKKIIIHHHHHHHHHGGGHHHKKKNNNQQQSSSUUUVVVTTTTTTUUUUUUUUUUUUTTTTTTPPPNNNLLLKKKKKKIIIGGGEEE666999;;;:::888666666888222777===CCCFFFIIIKKKLLLSSSTTTUUUVVVXXXZZZ[[[\\\```___]]]ZZZYYYWWWVVVVVVSSSQQQPPPPPPRRRSSSRRRRRRNNNNNNNNNNNNNNNNNNNNNNNNLLLKKKGGGCCC@@@===:::999222000...,,,+++***++++++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************&&&'''(((*********))))))***)))((((((((()))+++,,,$$$$$$%%%&&&'''((()))***************************((((((''''''''''''((((((''''''((((((((((((''''''((((((''''''''''''((((((''''''''''''''''''''''''%%%%%%&&&''''''&&&%%%%%%!!!$$$'''(((&&&%%%''')))+++***'''&&&%%%&&&'''(((&&&&&&&&&'''''''''((((((%%%&&&''''''((((((''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''(((((('''''''''&&&&&&%%%%%%%%%''''''''''''''''''''''''###$$$%%%&&&'''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$&&&'''(((((()))''''''&&&&&&&&&&&&''''''+++***)))(((((((((((((((&&&&&&%%%%%%%%%&&&&&&'''"""######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((())))))(((((((((((((((''''''$$$$$$%%%&&&'''((())))))((('''&&&&&&'''((('''%%%''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&$$$######$$$&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%'''''''''&&&&&&'''''''''&&&&&&&&&'''''''''((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''######''')))'''%%%'''%%%%%%&&&'''(((((((((''''''''''''&&&&&&'''''''''******)))((('''&&&%%%%%%'''&&&&&&&&&&&&'''(((((()))))))))(((''''''&&&&&&---***'''&&&'''((()))((((((((('''''''''&&&&&&&&&''''''''''''''''''&&&&&&'''''''''(((((((((((((((''''''(((((())))))******(((((((((((((((((((((((((((''''''&&&&&&((()))***((((((((((((((('''''''''))))))))))))((((((((((((''')))++++++)))(((''''''++++++,,,------...//////111333555555555666777999;;;<<<===???BBBDDDFFFGGGEEECCC@@@<<<999666444333222111000///............000000//////111555999;;;<<<===???AAADDDGGGJJJKKKNNNKKKFFFCCCCCCDDDDDDDDDCCCBBB@@@??????AAADDDFFFEEEDDDAAA??????@@@BBBDDDAAACCCEEEEEEBBB@@@??????@@@@@@@@@????????????>>>>>>===<<<<<<===???AAABBB@@@@@@@@@AAADDDHHHKKKMMMHHHIIIJJJKKKLLLNNNOOOOOOOOOQQQSSSVVVWWWWWWVVVUUUXXXXXXXXXXXXWWWTTTRRRQQQPPPQQQRRRQQQPPPMMMJJJHHHOOONNNNNNOOOQQQTTTWWWYYYZZZYYYYYYXXXXXXYYYYYYZZZTTTUUUUUUUUUSSSPPPMMMLLLBBB@@@===;;;999888777777777777999;;;===???BBBCCCHHHJJJMMMOOOQQQRRRUUUXXX\\\]]]^^^^^^\\\YYYVVVUUUUUUTTTSSSSSSSSSTTTUUUVVVNNNNNNOOOPPPRRRRRRQQQOOONNNMMMKKKIIIFFFCCCAAA@@@===:::777333000---,,,,,,************)))((('''&&&)))))))))***************((((((''''''''''''(((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))''''''''''''((((((((((((''''''''''''''''''''''''******))))))))))))******))))))(((((('''''''''&&&'''&&&&&&&&&&&&'''((((((%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((('''''''''&&&&&&&&&$$$%%%&&&'''((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''(((((('''&&&&&&''')))***+++******)))(((''''''&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((&&&''''''((()))(((((((((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((())))))((((((''''''&&&&&&***))))))((('''&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&%%%%%%%%%&&&&&&'''''''''''''''&&&%%%&&&'''((()))((((((((((((((((((((((((******))))))((((((''''''((((((((((((((('''''''''''''''''''''((((((((((((&&&&&&&&&&&&'''''''''''',,,)))''''''(((((((((((((((((('''''''''&&&&&&&&&''''''''''''''''''''''''((((((((((((((('''''''''&&&'''''''''(((((((((((((((((((((((((((((((((((((((((('''&&&'''((()))***''''''(((((((((((((((((()))))))))))))))))))))((((((***++++++)))((())))))+++,,,---...///000111111444666888999999:::<<<>>>@@@@@@AAABBBCCCDDDEEEFFFAAA???===999666444222111111111000///.........///...///000222555999===???AAABBBCCCEEEHHHJJJLLLNNNMMMJJJGGGEEEEEEEEEEEEDDDCCCBBB@@@??????AAACCCEEEEEECCCAAA??????@@@BBBCCCEEEFFFFFFDDDBBBAAABBBCCCBBBAAAAAAAAA@@@@@@??????===<<<;;;;;;;;;===???AAAAAA@@@@@@@@@BBBDDDGGGHHHDDDEEEEEEFFFGGGHHHIIIIIILLLNNNPPPRRRSSSSSSRRRRRRRRRTTTWWWXXXXXXUUURRROOOPPPQQQSSSSSSSSSRRRPPPOOORRRRRRRRRRRRSSSUUUWWWXXXYYYYYYXXXXXXXXXXXXYYYYYYUUUVVVWWWWWWVVVUUUSSSQQQJJJHHHFFFCCCAAA???======777777777777999;;;>>>??????AAADDDGGGHHHKKKNNNPPPSSSVVVZZZ\\\]]][[[XXXVVVVVVUUUUUUTTTUUUVVVWWWXXXSSSRRRQQQRRRSSSSSSQQQPPPOOONNNLLLJJJHHHFFFDDDDDDAAA???<<<888444000...---++++++++++++************((((((((())))))))))))))))))((((((''''''(((((()))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))''''''''''''((((((((((((''''''''''''''''''''''''))))))(((((((((((()))))))))((((((((('''''''''''''''&&&&&&&&&&&&'''((((((%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((('''''''''&&&&&&&&&%%%%%%&&&'''((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''((((((''''''(((((())))))*********)))((('''''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((&&&&&&'''(((((((((((('''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((())))))))))))(((((((((((()))))))))((('''&&&&&&&&&''''''&&&%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&''''''((('''&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%&&&'''((()))''''''''''''''''''''''''))))))))))))((((((''''''&&&&&&''''''''''''''''''''''''''''''(((((((((((($$$$$$%%%%%%&&&''''''(((***((('''((())))))(((&&&'''''''''''''''&&&&&&&&&''''''''''''''''''''''''))))))((((((''''''&&&&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((((((((('''''''''((()))***'''''''''(((((())))))))))))))))))))))))))))))))))))***+++***))))))+++,,,------...000222333444555777999;;;<<<===>>>@@@BBBEEEDDDDDDCCCCCCBBBBBBBBB;;;:::777555222111//////000000///////////////000...///222666;;;???BBBDDDEEEEEEFFFGGGIIIJJJLLLMMMIIIGGGEEEEEEFFFFFFDDDCCCBBBAAA???>>>???@@@BBBCCCCCCBBB@@@>>>>>>???@@@BBBGGGGGGFFFCCCAAAAAADDDFFFBBBBBBAAA@@@@@@???>>>>>>::::::999999999;;;<<<===@@@@@@???>>>???@@@AAABBBAAAAAABBBBBBBBBCCCCCCCCCGGGHHHJJJKKKLLLLLLLLLKKKJJJMMMQQQUUUVVVSSSOOOMMMMMMNNNQQQRRRTTTTTTTTTSSSTTTUUUVVVVVVWWWWWWWWWWWWYYYXXXXXXWWWWWWXXXXXXYYYUUUVVVWWWXXXYYYXXXWWWWWWQQQPPPOOOMMMJJJHHHFFFDDD===;;;999888999;;;===???<<<>>>@@@AAABBBCCCEEEGGGIIIMMMSSSYYY\\\\\\ZZZXXXXXXXXXXXXWWWXXXYYYYYYZZZYYYWWWUUUTTTTTTTTTRRRQQQOOONNNMMMLLLKKKJJJIIIHHHFFFEEECCC@@@;;;666222000...---,,,+++++++++,,,---))))))))))))))))))))))))))))))(((((((((((())))))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))''''''''''''((((((((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((((((((('''''''''''''''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&'''''''''''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''''''''((())))))*********)))******))))))((((((''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((%%%%%%&&&'''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%'''((((((((('''&&&)))))))))))))))*********))))))(((((('''&&&&&&&&&''''''&&&%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&)))))))))(((((((((((('''%%%%%%%%%&&&&&&''''''(((''''''''''''((((((((((((%%%%%%&&&&&&&&&'''''''''(((''''''((())))))'''&&&''''''''''''''''''''''''&&&&&&&&&'''''''''''''''******)))((('''&&&&&&%%%''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((()))))))))&&&&&&'''((()))******+++)))))))))))))))*********)))******))))))***,,,//////000111333555777888999888:::<<<======???AAACCCEEEDDDCCCAAA???===<<<;;;555444333111///.........///////////////000111111000333777;;;@@@CCCEEEFFFEEEDDDDDDEEEFFFGGGHHHHHHCCCCCCCCCDDDEEEDDDBBB@@@@@@???>>>======>>>@@@AAA???>>>===<<<;;;<<<===>>>CCCCCCCCCAAA??????AAACCC??????>>>===<<<;;;::::::777777777666777888999:::===<<<<<<;;;;;;<<<===>>>????????????????????????@@@AAABBBDDDDDDEEEDDDDDDBBBEEEIIILLLNNNMMMKKKJJJGGGIIIKKKMMMOOOPPPPPPPPPSSSTTTVVVXXXYYYYYYXXXWWWXXXXXXWWWWWWWWWWWWXXXXXXUUUVVVWWWXXXYYYYYYXXXXXXSSSSSSTTTSSSRRRPPPNNNMMMHHHFFFCCC@@@@@@AAADDDEEEGGGHHHHHHFFFDDDBBBCCCDDDFFFIIIOOOTTTYYY[[[[[[[[[ZZZZZZZZZZZZ[[[[[[\\\\\\]]][[[XXXVVVUUUTTTRRRQQQNNNNNNNNNMMMLLLLLLKKKKKKIIIIIIHHHGGGCCC>>>:::777222111...,,,******+++,,,,,,,,,,,,+++++++++++++++***))))))(((((())))))***((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((()))))))))))))))))))))))))))((((((''''''(((((()))(((((((((((((((''''''''''''&&&&&&&&&&&&'''((((((&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''(((((((((''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''((()))+++++++++***)))***)))))))))(((((((((''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''((()))******''''''''''''''''''''''''&&&&&&&&&''''''''''''((($$$%%%&&&&&&''''''&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''))))))((('''%%%''''''(((((())))))******(((((((((''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&'''''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((%%%%%%&&&&&&'''((())))))''''''''''''((((((((((((((((((((((((''''''&&&&&&''''''&&&((())))))(((&&&&&&'''''''''''''''''''''&&&&&&&&&'''''''''((((((******)))((('''&&&&&&%%%((((((((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))&&&''''''((()))***++++++((()))))))))*********+++((()))*********+++///111333333555666888:::;;;<<<;;;<<<>>>>>>>>>>>>@@@BBB@@@???===;;;888666444333111111000///.........////////////000000222333444666888<<>>===<<<;;;;;;<<<======;;;:::999888888888888999:::<<<>>>>>><<<;;;:::;;;999999999888777666666555555555555555555555666666777888888888999:::;;;<<<;;;;;;;;;:::::::::::::::;;;;;;<<<======>>>>>>>>><<<===???AAACCCDDDEEEFFFCCCDDDEEEGGGHHHIIIJJJJJJMMMPPPSSSVVVXXXXXXWWWWWWVVVVVVUUUUUUUUUUUUVVVVVVXXXXXXXXXYYYYYYYYYYYYYYYTTTUUUVVVXXXXXXXXXWWWVVVRRRPPPLLLJJJIIIJJJLLLNNNQQQQQQQQQOOOLLLJJJIIIJJJJJJKKKMMMPPPTTTXXXZZZ\\\[[[[[[\\\\\\]]]]]]]]]]]]^^^\\\YYYXXXWWWVVVSSSQQQOOOOOOOOONNNMMMMMMLLLLLLHHHJJJKKKKKKIIIFFFBBB@@@999666222///,,,*********,,,,,,,,,++++++***************))))))))))))******))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((())))))))))))))))))))))))***))))))(((((())))))***'''''''''((((((((((((((('''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&'''''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''(((((((((''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&''')))++++++++++++***))))))))))))(((((((((((('''''''''&&&&&&&&&%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''((()))******''''''''''''''''''''''''&&&&&&&&&''''''''''''((($$$%%%&&&&&&''''''&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''))))))((('''%%%%%%&&&&&&''''''(((((((((''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&'''((((((''''''&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''(((((((((&&&&&&'''((()))******+++''''''''''''((((((((((((***))))))(((''''''&&&&&&(((&&&&&&&&&((()))((('''&&&&&&&&&'''''''''''''''%%%%%%&&&&&&'''((((((((())))))((((((''''''&&&&&&)))))))))))))))((((((((((((((((((((((((((((((((('''((()))*********))))))((((((((())))))*********((())))))******+++++++++)))+++,,,---...///222444777777888:::;;;===>>>??????@@@AAA@@@???>>>???@@@:::999777555333111000///000000000///000000111222111111222333444666888999<<<===???AAACCCCCCCCCBBBCCCCCCBBBBBBBBBBBBCCCCCCCCCBBBBBBDDDEEEDDDBBB@@@;;;::::::999999999999999777666666555555555555555333666999999888666555555555555444444444444333333333333333444444444444444444444555666888999::::::666666666555555555555555777777777777888888999999777777888999:::<<>>:::666222///---,,,,,,++++++******)))))))))++++++************++++++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''((((((((((((((((((((((((((((((((((((******))))))))))))******'''''''''((((((((((((((('''&&&&&&&&&&&&'''((((((((((((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&'''''''''''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&'''((()))***+++++++++))))))))))))((((((((((((''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((%%%%%%&&&'''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&'''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%'''((((((((('''&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((('''&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&'''))))))(((''''''&&&''''''''''''''''''&&&'''&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((((((((((((((())))))******+++''''''''''''((((((((((((''''''''''''''''''''''''(((&&&%%%%%%'''((()))(((&&&&&&&&&'''''''''((((((%%%%%%&&&&&&'''(((((()))((((((((((((((('''''''''))))))((((((((('''''''''(((((((((((((((((((((((('''((()))***+++***)))))))))))))))))))))))))))***((())))))******+++,,,,,,+++---000222333444666888::::::;;;<<<>>>??????@@@AAABBBAAA???<<<:::::::::555444333222111000///...111111111111222444555666555555666888999<<<===?????????@@@AAABBBBBBBBBBBBAAAAAA@@@@@@@@@@@@AAAAAABBB@@@@@@@@@AAAAAA???===888888888777777666666666555555444444444333333333222444555555444333444555333333333444444444444444222333333333333333222222333333444666777777777888333333444444444444444444555444444444444555666666333444555666777888999999::::::;;;===>>>@@@BBBCCCEEEFFFHHHJJJLLLLLLLLLLLLLLLLLLKKKKKKKKKKKKLLLLLLQQQQQQRRRSSSTTTVVVWWWXXXUUUUUUVVVWWWYYY[[[]]]^^^YYYXXXWWWVVVVVVWWWXXXYYYWWWXXXYYYXXXWWWVVVWWWXXXTTTTTTTTTTTTUUUWWWYYYZZZZZZZZZ\\\]]]]]]]]]\\\[[[\\\\\\]]]______]]]YYYUUUWWWVVVUUUSSSPPPNNNMMMLLLHHHIIIKKKMMMMMMLLLKKKJJJGGGEEEBBB???;;;777555333.........---,,,++++++++++++++++++******+++++++++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''((((((((((((''''''''''''''''''''''''))))))(((((((((((())))))''''''''''''((((((((()))'''&&&&&&&&&&&&'''(((((()))((((((((('''''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%%%%&&&'''((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''((()))++++++(((((((((((())))))))))))''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((&&&&&&'''(((((((((((('''&&&&&&&&&''''''''''''(((&&&&&&&&&'''((()))))))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))((('''&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&((()))))))))(((''''''(((((())))))(((((('''''''''&&&&&&&&&%%%%%%%%%%%%&&&'''((((((((('''&&&''''''''''''''''''''''''&&&&&&&&&'''''''''(((((((((((((((((())))))))))))''''''''''''(((((((((((($$$%%%%%%&&&&&&''''''((()))&&&$$$$$$&&&((())))))&&&&&&&&&'''''''''((((((%%%%%%&&&&&&'''((())))))'''''''''((((((((((((((((((((('''''''''&&&&&&&&&(((((((((((((((((((((((('''((()))++++++******)))*********)))))))))))))))((())))))***++++++,,,,,,,,,///333666777888999;;;<<<======>>>???@@@@@@@@@@@@@@@???<<<888555555555222222222111111000000000222222222333444666888888888999:::;;;===@@@BBBCCC@@@@@@@@@@@@AAAAAABBBBBB>>>>>>>>>===>>>>>>?????????===;;;;;;<<<<<<:::999777777666666555555555444555555555444444444333333444555444222111222555777333333444555555666666777222222333333333222222111333444555555666666666555444444555555555666666666444333333333333333444555111333555777888777555444444444666888:::===???AAACCCDDDEEEFFFGGGGGGGGGGGGHHHHHHHHHGGGGGGHHHHHHHHHIIIJJJKKKMMMOOORRRTTTUUUSSSSSSSSSSSSTTTWWWYYYZZZ[[[[[[[[[[[[[[[\\\]]]]]]\\\]]]]]][[[YYYWWWWWWXXXUUUVVVVVVWWWXXXXXXXXXXXXYYYZZZ[[[\\\]]]\\\[[[[[[\\\]]]___bbbbbb```[[[XXXZZZYYYWWWUUURRROOOMMMLLLIIIJJJKKKLLLLLLLLLKKKJJJKKKJJJHHHFFFBBB???<<<:::333222222111000/////////,,,++++++******++++++,,,))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''((((((((()))''''''''''''''''''''''''((((((''''''''''''((((((&&&'''''''''(((((())))))'''&&&&&&&&&&&&'''(((((())))))(((((('''''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((($$$%%%&&&'''((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%%%%&&&&&&%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%''')))+++,,,(((((((((((())))))))))))(((((('''''''''&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((&&&'''(((((())))))((((((&&&&&&&&&'''''''''((((((&&&&&&&&&'''((())))))***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((())))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))((('''&&&%%%%%%%%%&&&&&&&&&''''''$$$&&&((()))***)))((('''(((((())))))))))))(((((('''''''''&&&&&&%%%%%%%%%%%%%%%'''((((((((('''&&&((((((((((((((((((((((((&&&&&&&&&'''''''''((((((((((((((((((((('''''''''''''''''''''((((((((()))'''&&&%%%%%%%%%%%%&&&''''''&&&%%%%%%&&&'''((()))''''''&&&'''((()))+++,,,(((''''''&&&&&&((()))***''''''(((((())))))******...,,,+++)))((('''(((((((((((((((((())))))))))))***+++---......,,,)))'''))))))((((((((('''''''''(((((())))))***,,,---...333666:::<<<<<<<<<<<<===AAAAAAAAABBBDDDDDDBBB@@@???===999666444333333333333333111///---///222666::::::999999::::::;;;<<<===>>>@@@BBBCCCDDDDDDDDDCCCAAA>>><<<:::;;;<<<>>>======<<<;;;;;;:::999999888888777777666666666666555555555444444333333333333333444444444555555555555333222333555777555333444444333333333333333444333333222222222222333333777444222111333444444333555333222333555666666555444444444555666555222000222222111111222333555666555555666777999;;;<<<===>>>??????@@@AAABBBCCCCCCFFFFFFFFFFFFFFFFFFFFFFFFIIIIIIIIIIIIJJJJJJJJJJJJJJJLLLNNNQQQSSSTTTSSSSSSVVVWWWYYY[[[]]]___``````]]]]]]^^^]]]]]]\\\[[[ZZZZZZWWWSSSRRRTTTWWWYYYZZZZZZZZZZZZYYYZZZZZZ[[[\\\^^^___aaabbbbbb```___^^^[[[[[[ZZZXXXTTTPPPLLLJJJIIIJJJJJJKKKLLLMMMNNNNNNPPPPPPOOONNNKKKHHHEEECCC???===;;;888555333111111///---***)))***++++++***,,,+++***)))))))))))))))***))))))((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))(((((())))))))))))((((((''''''''''''((((((((()))+++******)))(((''''''&&&''''''''''''''''''''''''''''''''''''''''''&&&&&&((((((((('''&&&&&&%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((((((&&&%%%%%%'''(((((('''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''(((((('''''''''&&&&&&&&&%%%$$$###$$$'''(((&&&###((('''&&&&&&'''(((((((((''''''''''''((((((((((((&&&(((++++++(((%%%###"""''''''''''''''''''''''''))))))(((((('''''''''&&&'''))))))((('''&&&'''(((***)))'''&&&%%%%%%&&&&&&%%%%%%%%%&&&&&&'''''''''((((((((((((((((((((((((,,,(((%%%$$$&&&'''&&&$$$''''''''''''((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))(((((('''''''''&&&&&&&&&&&&''''''''''''(((&&&&&&'''((())))))(((((((((((((((((((((((((((((((((((('''''''''&&&&&&&&&((((((((((((((((((((((((((((((((((((((((((''''''---***'''(((******(((%%%'''&&&&&&%%%%%%&&&&&&'''000,,,&&&$$$&&&(((((((((&&&''''''(((((((((((((((+++)))'''&&&%%%&&&'''(((((((((((((((((((((((((((''''''&&&%%%%%%&&&'''''')))((('''&&&&&&&&&'''(((''''''&&&&&&'''((()))***(((''''''&&&'''((()))***'''((((((((()))))))))***+++***)))((((((((())))))(((((((((((()))))))))***+++,,,...///...---***))))))))))))))))))))))))((()))))))))***,,,...///000444777:::<<<======???@@@CCCBBBBBBBBBCCCBBB???===:::888555333111111111222222333333333222222444666:::;;;<<<===>>>???@@@@@@AAAAAABBBBBBCCCCCCDDDDDDAAA???===:::999999:::;;;::::::999999888777777666666666666666555555555444555555555555444444333333222333333333444444444444333222000111444555444222444444333333333333444444444444333333333333444444777555444444555666555444444333111222444555555444444666777666444222333555444333333333444555666777333333333444555666777888:::;;;;;;<<<===>>>??????CCCDDDDDDEEEFFFGGGHHHIIILLLLLLKKKJJJIIIHHHGGGGGGGGGIIILLLOOOQQQQQQQQQQQQTTTUUUWWWZZZ\\\^^^______\\\\\\]]]\\\\\\[[[ZZZZZZ[[[XXXUUUTTTVVVXXXXXXYYYXXXXXXXXXYYYYYY[[[\\\\\\\\\]]]^^^``````___^^^]]]]]]]]]\\\YYYUUUOOOJJJGGGFFFGGGHHHIIIKKKMMMNNNOOOPPPQQQRRRRRRQQQNNNKKKIIIGGGEEECCC@@@>>><<<::::::555222///---,,,+++***(((++++++******)))*********++++++***)))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))(((((())))))))))))(((((('''''''''((((((((())))))*********)))((('''''''''((('''''''''''''''&&&&&&''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''&&&&&&&&&((()))((('''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''(((((('''''''''&&&&&&&&&&&&$$$###%%%''''''&&&###&&&&&&&&&&&&((((((((((((&&&&&&&&&&&&'''''''''''''''((()))***)))(((&&&$$$'''''''''''''''''''''''')))((((((((('''''''''''''''))))))((('''&&&'''(((***)))'''&&&%%%%%%&&&&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''',,,)))&&&%%%&&&'''&&&$$$''''''''''''((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))(((((('''&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))(((((((((''''''''''''&&&&&&&&&''''''''''''(((&&&&&&'''(((((((((((((((''''''''''''''''''''''''(((((('''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&'''''''''(((((((((((('''&&&&&&&&&&&&$$$"""'''&&&&&&%%%%%%&&&&&&'''...***&&&%%%&&&(((((('''&&&''''''(((((((((((((((***)))'''&&&&&&&&&((((((((((((((((((((((((((((((''''''&&&%%%%%%&&&''''''***)))((('''&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''(((''''''''''''((())))))(((((((((((())))))))))))((('''''''''(((((()))***((((((((()))))))))******+++,,,...//////---+++******************+++++++++******+++---///111333444777999<<<===>>>???BBBDDDEEEDDDBBBAAA@@@???<<<999555444222111111111222333222444777888777777888999<<<>>>@@@CCCEEEEEEEEEEEEFFFEEECCCBBBAAABBBBBBCCC>>>===:::777666666666777666666666555555444444333444444444444333333333333555555444444444444333333222222222222333333333333111000000000222333222111555444444444444444555555444333333333333333444444777666555666888888666555555333222222444555555444444888:::777222000444888222222222222333444555666444444333333333444444555666777888888::::::;;;<<<>>>???AAABBBDDDFFFGGGHHHLLLLLLKKKKKKJJJJJJIIIIIIIIIKKKMMMNNNOOOOOOMMMLLLOOOQQQSSSUUUWWWYYYZZZZZZ[[[[[[[[[[[[[[[[[[ZZZZZZ[[[YYYWWWWWWXXXYYYYYYXXXVVVVVVWWWXXXZZZ[[[\\\]]]YYYZZZ\\\]]]^^^]]]]]]\\\______^^^[[[VVVOOOHHHDDDBBBCCCCCCEEEGGGJJJMMMNNNMMMOOORRRUUUUUUSSSQQQOOONNNMMMKKKIIIGGGEEEDDDCCC===:::666333111...+++)))+++***************+++,,,,,,++++++***************(((((((((((((((((((((((())))))))))))))))))))))))(((((())))))))))))((((((''''''((((((((()))))))))******))))))((((((''''''((((((((('''''''''&&&&&&''''''''''''''''''''''''###$$$$$$%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''''''''(((******((('''&&&&&&&&&''''''''''''((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%$$$%%%&&&'''%%%$$$$$$%%%&&&'''((((((((((((%%%%%%%%%&&&&&&&&&&&&'''***(((&&&(((+++,,,+++)))''''''''''''''''''''''''(((((((((((('''''''''''''''))))))((('''&&&'''(((***)))'''&&&%%%%%%&&&'''&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''',,,***((('''''''''&&&%%%&&&''''''''''''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((''''''''''''&&&&&&&&&''''''''''''(((&&&''''''''''''((((((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''''''''''''''%%%%%%&&&&&&''''''(((((()))***,,,,,,***(((''''''''''''&&&&&&&&&&&&'''''')))'''&&&&&&'''(((((('''&&&''''''(((((((((((((((***)))'''&&&&&&'''((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''((((((((('''''''''''''''(((((((((''''''&&&&&&&&&''''''''''''((((((((()))(((((((((((())))))))))))'''''''''''''''(((((()))(((((()))))))))*********++++++---...---,,,+++***))))))******+++,,,,,,---,,,---...000333555888999:::<<<>>>???@@@BBBEEEHHHGGGEEEBBB@@@>>>;;;888555333333222333333555666777555777999::::::;;;===???BBBDDDGGGJJJKKKJJJHHHGGGGGGEEEBBB???>>>>>>>>>???;;;999777555333333333444444444444333333222222222222222222222222222222222333333333333333333333333111222222222222333333333111111111222333333444333666666666666666666777888555555444444555666777777999888999:::<<<;;;999777999777666666777888888777777:::<<<:::555333444666444444444444444555555555666666555555555666666777555555666777777888999999999:::;;;===???@@@AAABBBDDDEEEFFFHHHJJJLLLNNNOOOOOOPPPQQQRRRQQQOOOMMMLLLKKKLLLMMMOOOPPPQQQQQQQQQWWWWWWXXXYYYYYYXXXXXXXXXWWWVVVVVVXXXZZZ[[[ZZZXXXVVVWWWXXXYYYZZZ[[[[[[\\\YYYZZZ[[[\\\]]]]]]]]]\\\^^^___^^^\\\WWWPPPIIIEEE@@@??????@@@BBBEEEIIIKKKJJJMMMQQQTTTUUUTTTRRRPPPQQQPPPOOONNNLLLKKKIIIHHHEEECCC???;;;999666222000+++++++++******++++++,,,++++++***))))))))))))***(((((((((((((((((((((((((((((((((((((((((((((((())))))(((((((((((())))))'''(((((((((((()))))))))***)))))))))((((((((('''(((((((((((('''''''''&&&&&&&&&&&&'''''''''''''''%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''''''(((***,,,+++)))&&&&&&&&&&&&''''''''''''((('''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%&&&&&&&&&&&&$$$%%%'''(((''''''&&&'''%%%%%%&&&&&&&&&'''''''''+++'''$$$&&&,,,000///,,,''''''''''''''''''''''''(((((((((((((((''''''''''''))))))((('''&&&'''((()))((('''&&&%%%&&&&&&'''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''+++***)))(((''''''&&&%%%&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''$$$$$$%%%&&&'''(((((()))%%%%%%$$$$$$%%%%%%&&&&&&''''''''''''''''''''''''((((((((((((((('''''''''&&&&&&&&&''''''''''''((('''''''''&&&'''''''''(((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&***---111000---***+++,,,''''''&&&&&&&&&&&&''''''%%%%%%&&&'''((((((''''''&&&''''''((((((((((((((()))(((''''''''''''((((((((((((((((((((((((((((((''''''''''''''''''''''''%%%&&&'''(((((()))*********)))))))))(((''''''&&&&&&''''''((((((((((((((())))))))))))(((((((((((((((((((((((((((''''''&&&))))))))))))************)))***++++++++++++******(((((()))+++,,,---...///000000222444666999<<<===>>>???AAABBBCCCEEEHHHKKKGGGEEEAAA>>>;;;888555222111222333444666888999:::;;;;;;;;;;;;;;;>>>BBBEEEHHHJJJLLLNNNMMMKKKGGGEEECCCAAA>>>;;;999999999:::777666555333222222222222333333333333333222222222111222222222222222222222222222222222333333333333222333333333333444444444333444444555555666777777999999999999999:::;;;<<<;;;;;;;;;<<<===???@@@AAACCCBBBBBBCCCDDDDDDAAA???@@@>>><<<<<<>>>???>>>===;;;<<<===>>>>>><<<999777;;;;;;;;;::::::999999888666666666555666666777777555555555555555666666666666666777777888999999999:::;;;>>>AAADDDGGGJJJKKKNNNOOORRRSSSTTTSSSRRRQQQJJJKKKLLLMMMMMMNNNMMMMMMPPPQQQRRRRRRSSSSSSSSSSSSRRRRRRSSSVVVYYYZZZZZZXXXWWWXXXYYYZZZ[[[[[[[[[ZZZ[[[[[[\\\]]]]]]]]]]]]]]]\\\\\\\\\[[[XXXSSSNNNKKKAAA@@@>>><<<===@@@CCCEEEHHHKKKOOORRRTTTSSSRRRQQQRRRRRRRRRQQQPPPOOOMMMLLLKKKIIIFFFDDDBBB@@@<<<:::///...---,,,++++++++++++******)))(((((((((((()))))))))))))))))))))))))))(((((((((((((((((((((((())))))(((((((((((())))))(((((((((((()))))))))***))))))))))))((((((((((((((((((((((((((((((((((((&&&&&&&&&'''''''''(((((()))((((((((('''''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''''''(((***,,,+++)))&&&&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&'''''''''''''''''''''&&&&&&&&&%%%%%%&&&'''((()))+++,,,***'''%%%%%%&&&&&&'''''''''((((((((((((,,,'''$$$&&&,,,000///---'''''''''''''''''''''''''''''''''((((((((((((((('''))))))((('''&&&'''((()))((('''&&&%%%&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''')))))))))((('''&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((()))***+++++++++&&&&&&&&&&&&&&&'''(((((('''''''''''''''''''''''''''''''''(((((((((((((((&&&&&&&&&''''''''''''(((((('''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&'''''''''''''''''''''''''''''''''''''''''''''(((((('''&&&%%%$$$$$$###&&&))),,,+++(((&&&''')))(((''''''&&&&&&''''''((($$$%%%'''(((((((((''''''&&&''''''((((((((((((((((((((('''''''''(((((((((((((((((((((((((((((((((&&&'''(((((((((((('''&&&$$$%%%&&&(((******++++++))))))******)))(((''''''&&&''''''((()))((((((((())))))))))))(((((((((((()))))))))))))))((('''&&&)))))))))*********++++++((())))))***************((()))***,,,...000111222333444555777:::===???@@@AAACCCEEEFFFFFFGGGJJJLLLFFFCCC???;;;999777444222000111333555888:::;;;<<>>======@@@EEEIIIJJJKKKLLLMMMKKKGGGCCC@@@===<<<:::888666555555555444444333222222222222222333333333333333333333333222222222222333333333333333333333444444444444555555555555555666666666666555777888999888888:::<<<============>>>???@@@@@@DDDEEEFFFGGGJJJLLLNNNOOOQQQPPPNNNNNNOOONNNLLLJJJGGGEEEDDDCCCEEEEEEEEEDDD@@@@@@BBBEEEIIIJJJHHHEEEEEEEEEEEEDDDBBB@@@>>>===;;;;;;:::999888888999999666666666555555444444333555555555444444444444444444555777999;;;===>>>???DDDFFFJJJOOORRRTTTTTTUUUKKKLLLMMMOOOPPPPPPQQQQQQKKKKKKMMMNNNOOOOOOOOOOOONNNNNNOOORRRUUUWWWWWWVVVUUUWWWXXXZZZ[[[[[[[[[ZZZ]]]]]]]]]]]]]]]]]]]]]]]]YYYZZZZZZZZZXXXUUUSSSQQQHHHEEE@@@<<<:::;;;===???FFFHHHLLLOOOQQQSSSSSSSSSTTTUUUUUUVVVUUUTTTRRRQQQOOOMMMKKKJJJJJJHHHEEEBBB666555333111///---,,,,,,***))))))((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))***)))(((''''''((()))***((((((((()))))))))******))))))))))))((((((((((((&&&''''''(((((()))******%%%%%%&&&&&&'''(((((((((******))))))(((''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''''''''(((******((('''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&&&&'''''''''''''''$$$%%%&&&%%%%%%&&&)))+++444555444///(((%%%%%%&&&'''''''''((((((((())))))***'''%%%&&&***------+++'''''''''''''''''''''''''''''''''((((((((((((((('''))))))((('''&&&'''(((((('''&&&%%%%%%&&&'''(((((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%'''(((((('''&&&&&&'''%%%&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((('''&&&%%%$$$######'''&&&&&&&&&'''((()))***'''''''''''''''''''''''''''''''''(((((((((((((((&&&&&&&&&''''''''''''(((((('''&&&%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))(((((('''&&&%%%$$$$$$&&&'''((('''&&&%%%&&&'''((((((''''''''''''(((((($$$&&&((((((((('''((()))&&&''''''((((((((((((((('''''''''(((((((((((((((((((((((((((((((((((((((&&&'''((())))))((('''&&&%%%&&&((()))*********)))'''((()))))))))((('''&&&&&&&&&((()))))))))((('''***)))))))))(((((((((''''''((()))*********)))((())))))*********+++++++++))))))******++++++++++++***+++---///111333555666777777888:::<<>>@@@BBBCCCEEEHHHKKKLLLLLLJJJJJJJJJCCC???;;;999777666444333777888;;;===@@@BBBCCCDDD???@@@CCCCCCCCCCCCDDDEEECCCCCCCCCBBB@@@===:::888444555555555444333222222111222222333444444555555222222222222222333333333444444444555555666666666888888999999:::::::::;;;888999999999::::::::::::666999<<<<<<:::;;;===@@@CCCCCCCCCDDDDDDFFFGGGGGGKKKLLLNNNQQQUUUYYY\\\^^^```]]]YYYWWWVVVUUUTTTSSSOOONNNLLLKKKLLLMMMLLLKKKIIIMMMQQQTTTWWW___kkkuuuuuuuuusssqqqnnnkkkgggeee\\\ZZZWWWTTTPPPMMMLLLKKKDDDCCCBBB@@@>>><<<;;;:::666666666777777777888888444444555666777888888999555777:::>>>@@@AAAAAAAAADDDFFFJJJNNNRRRVVVXXXYYYRRRSSSTTTVVVWWWXXXXXXXXXNNNLLLKKKKKKLLLMMMMMMLLLJJJMMMQQQUUUYYY[[[\\\\\\```___]]]\\\[[[[[[ZZZZZZ[[[ZZZXXXWWWWWWVVVWWWWWWYYYTTTJJJAAA:::777777888999;;;>>>BBBHHHMMMRRRTTTTTTUUUWWWXXXXXXWWWVVVTTTSSSQQQPPPPPPOOOMMMIIIGGGEEECCC???;;;777333000///,,,++++++***)))*********))))))))))))))))))))))))))))))))))))))))))))))))+++)))(((''''''((()))+++))))))))))))************(((((((((((())))))))))))$$$%%%&&&((()))+++,,,---%%%%%%&&&&&&'''((())))))%%%%%%&&&&&&'''(((((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''(((((((((&&&%%%%%%'''(((((('''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((!!!###%%%%%%%%%''',,,000JJJIIIDDD999...'''(((***%%%%%%%%%&&&&&&&&&''''''&&&'''((((((&&&%%%&&&'''''''''''''''''''''''''''&&&'''''''''(((((())))))''')))))))))'''&&&'''(((((('''&&&%%%&&&&&&(((((())))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&"""&&&'''&&&%%%&&&(((%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''(((((((((((((((((((((((()))((((((''''''&&&&&&%%%$$$$$$$$$%%%&&&'''((()))((((((((((((((((((((((((&&&'''''''''(((((())))))&&&&&&&&&'''''''''(((((()))(((&&&$$$$$$$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''((()))***+++---)))$$$$$$'''******)))((((((''''''''''''(((((((((***+++)))'''&&&(((+++&&&''''''(((((((((((((((&&&&&&'''((())))))((((((((((((((((((((((((((((((---+++***(((''''''''''''(((((((((((())))))))))))''''''((((((((((((''''''))))))(((((('''''''''&&&))))))))))))))))))))))))&&&&&&&&&''''''''''''((((((((((((((()))***+++,,,))),,,...---,,,+++---000---///222333444666888:::???>>>>>>>>>@@@BBBDDDFFFHHHIIIKKKLLLKKKHHHDDDAAA;;;:::888666444555888;;;;;;===???@@@AAADDDGGGIIIFFFEEEDDDCCCAAA@@@??????<<<;;;;;;:::999888777777666555333555777888555333222111111222444555444333111222333555777888666555666888999888666666777888777777;;;AAABBB>>><<<===<<<<<<:::777999<<<;;;777:::<<>>===???@@@===BBBFFFGGGJJJOOOOOOLLLLLLNNNOOOPPPRRRTTTUUUSSSTTTRRROOONNNNNNOOONNNMMMNNNLLLIIIFFFEEEEEEFFFGGGEEEIIINNNQQQVVVbbbsss~~~zzzyyytttpppmmmfff^^^[[[\\\RRRVVVUUULLLCCC???<<<999===888555777888555555777777666555444444555666777333666999999888999<<<@@@@@@AAACCCFFFIIILLLNNNPPPMMMQQQWWW^^^bbbdddeeeddd___[[[WWWTTTRRROOOJJJFFFJJJJJJKKKMMMPPPTTTXXXZZZ\\\\\\[[[ZZZXXXXXXYYYZZZWWWWWWXXXXXXXXXWWWUUUTTTWWWSSSMMMGGGBBB===888555888999<<>>???@@@AAACCCEEEGGGHHHHHHHHHHHHFFFCCC@@@===;;;888999999999888:::===@@@AAABBBCCCCCCDDDEEEGGGHHHDDDCCCAAA@@@>>><<<::::::777777777777666555555444555333222444666777555333333333222333444444444444555555666777999999999888999:::::::::999999::::::;;;;;;@@@EEEEEE@@@===>>>;;;>>>===;;;<<>>;;;:::;;;;;;:::;;;???<<<;;;;;;:::999888888888555666666777777888:::<<<::::::<<<>>>@@@CCCEEEFFFGGGJJJPPPWWW\\\```bbbccccccaaa___^^^^^^\\\WWWTTTQQQPPPNNNLLLLLLNNNPPPRRRVVVWWWWWWWWWVVVUUUUUUUUUUUUVVVWWWXXXYYYYYYYYYXXXYYYVVVPPPKKKGGGBBB===999777777888;;;@@@FFFLLLOOORRRTTTUUUWWWXXXXXXWWWWWWSSSQQQPPPOOOOOONNNKKKIIIJJJGGGEEEDDDEEEAAA;;;555333000---+++***+++***)))******))))))))))))))))))*********************************)))(((''''''''')))))))))(((((((((''''''((((((((((((((((((((((((***)))((('''&&&''''''(((''''''''''''''''''&&&&&&(((((('''''''''&&&&&&&&&((((((((((((((((((((('''''''''&&&%%%%%%%%%&&&&&&''''''''''''''''''''''''(((''''''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%'''+++...===///&&&)))+++'''%%%)))(((''''''''''''&&&&&&&&&(((((('''&&&&&&&&&&&&&&&(((((((((''''''&&&&&&&&&''''''''''''''''''''''''''''''((())))))))))))((((((((('''''''''&&&&&&&&&###$$$&&&(((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&%%%%%%%%%&&&&&&&&&''''''(((((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''(((((('''''''''&&&&&&&&&&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&(((((('''''''''&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((())))))))))))(((((()))((('''&&&&&&'''((())))))))))))(((''''''&&&&&&((())))))))))))*********)))(((((((((((()))******&&&&&&%%%$$$$$$%%%%%%&&&&&&&&&'''''''''((((((((('''(((((())))))(((((('''))))))((((((((((((''''''))))))))))))))))))))))))(((((()))))))))*********))))))((((((((()))******+++,,,------,,,---///111444777:::;;;<<<===???@@@@@@AAACCCEEEFFFHHHIIIIIIGGGFFFBBB???;;;999888777888:::===???@@@BBBDDDFFFIIIHHHGGGFFFFFFFFFFFFFFF@@@???===;;;999666555444555555555666555555555444555444333444666666555444444444444555555555555555888999;;;===???@@@@@@@@@<<<:::999:::;;;<<<<<<;;;>>>???DDDIIIIIIDDDBBBDDDDDDIIIKKKIIIIIIMMMOOONNNNNNLLLKKKLLLPPPTTTVVVWWW[[[eeeqqqzzzyyylll\\\UUUWWW^^^bbbddd\\\]]]^^^bbbgggnnntttwww|||wwwmmmbbbYYYRRROOOMMMMMMIIIGGGMMM[[[jjjtttyyy~~~{{{rrrhhheeefffiiinnnmmmcccWWWMMMDDD======<<<<<<>>>===;;;@@@GGGEEEEEEEEECCC@@@<<<888666;;;888666555666777888777666666777888999;;;<<<===???AAAFFFLLLRRRXXX\\\^^^ccccccdddgggiiiiiigggeeeccc```\\\XXXTTTRRRQQQPPPNNNOOOPPPRRRRRRRRRRRRRRRTTTUUUVVVXXXYYYZZZZZZZZZYYYVVVSSSPPPLLLGGGBBB>>>:::888777777;;;AAAHHHLLLPPPQQQTTTVVVWWWWWWVVVVVVTTTSSSRRRRRRRRRPPPLLLIIIMMMKKKHHHHHHHHHEEE???;;;888555111...---,,,***)))((()))))))))))))))))))))******************************))))))((((((''''''((((((((((((''''''''''''(((((((((((((((((((((((('''''''''''''''&&&&&&&&&(((((((((''''''&&&&&&&&&((((((((('''''''''&&&&&&''''''(((((((((((((((((((((((('''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''(((''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''&&&&&&''')))000'''$$$((()))%%%&&&***(((''''''''''''&&&&&&&&&(((((('''&&&&&&&&&&&&'''(((((((((((((((''''''''''''''''''''''''''''''''''''(((***,,,,,,+++***)))'''''''''''''''&&&&&&&&&$$$%%%&&&'''''''''&&&%%%'''''''''''''''''''''''''''(((((((((((((((((('''%%%%%%%%%&&&&&&&&&''''''(((((('''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&%%%%%%$$$$$$'''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&''')))((('''&&&'''((('''''''''''''''&&&&&&&&&''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))(((((()))((('''&&&&&&'''((()))(((((((((((((((((((((((())))))))))))************'''''''''''''''(((((()))''''''''''''(((((())))))&&&&&&&&&&&&'''''''''((((((((())))))))))))(((((())))))((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))******)))))))))(((((())))))******+++---///111444777999888:::===??????@@@AAACCCCCCDDDFFFHHHHHHHHHGGGFFFCCC@@@<<<999888888:::;;;>>>AAAFFFIIIJJJJJJKKKLLLMMMKKKHHHFFFEEEDDDCCCAAA;;;:::999777666444333222555666777888888888888777777666666555555666555555555666777777777777888999;;;???DDDGGGHHHHHHGGGGGG@@@>>><<<<<>>EEE@@@:::888888999888666777777777777888999:::;;;:::;;;===BBBGGGMMMRRRUUUXXX[[[```ffflllooopppppprrrpppnnnjjjeee___ZZZXXXMMMLLLKKKLLLNNNPPPQQQQQQTTTTTTUUUVVVWWWXXXXXXXXXVVVUUUSSSQQQOOOKKKEEEAAA@@@>>>:::888999===CCCFFFLLLNNNQQQTTTVVVVVVUUUTTTTTTTTTTTTUUUUUURRRNNNJJJOOOMMMKKKKKKJJJHHHDDD@@@===:::555222000...+++)))(((((())))))))))))*********************************)))))))))((((((((('''((((((''''''''''''''''''(((((((((((((((((((((((('''(((((())))))(((''''''))))))((((((''''''&&&&&&((((((((((((''''''''''''''''''''''''(((((((((((()))((('''&&&&&&%%%%%%&&&%%%%%%%%%&&&&&&&&&&&&&&&(((''''''''''''&&&&&&&&&%%%&&&'''(((((('''&&&%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&((()))((('''%%%%%%&&&'''$$$%%%(((((($$$&&&***(((''''''''''''&&&&&&&&&(((''''''&&&&&&&&&''''''((((((''''''''''''''''''''''''''''''''''''''''''&&&(((+++------,,,***(((''''''''''''''''''''''''$$$%%%&&&'''''''''&&&&&&((((((((((((((((((((((((''''''((((((((((((''''''%%%%%%%%%&&&&&&&&&''''''(((''''''&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''((('''&&&%%%%%%&&&'''((('''''''''''''''''''''''''''''''''&&&&&&%%%%%%$$$&&&(((******)))(((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((())))))))))))(((((())))))))))))(((((()))(((''''''''''''((()))''''''''''''(((((())))))((((((((()))))))))******'''''''''''''''((())))))(((((())))))******++++++&&&&&&&&&&&&'''''''''((((((((())))))))))))(((((((((((())))))))))))))))))((((((((((((((((((((((((''''''((((((((()))))))))***))))))))))))******+++,,,,,,,,,...111555888::::::===@@@BBBBBBBBBCCCDDDGGGGGGHHHGGGFFFDDDBBBAAA:::888666666888;;;@@@CCCGGGKKKOOOQQQQQQOOONNNMMMLLLIIIEEECCCBBBAAA>>><<<777777666666666555555555555666888999:::999999888666666555555444444555666777999;;;;;;::::::<<<>>>@@@EEEKKKMMMLLLHHHEEEDDDBBB@@@@@@@@@CCCEEEGGGHHHLLLLLLPPPUUUXXX\\\fffppp}}}yyyuuulllfffcccoooxxxnnnmmmhhhccc]]]VVVSSSWWW___hhhpppuuupppggg]]]SSSKKKHHHGGGHHHHHHFFFFFFNNNWWWfffhhhkkkkkkggg```XXXSSSQQQKKKCCC???>>>???===<<<:::999888777777888999:::999888999:::>>>CCCGGGJJJKKKOOOVVV^^^ffflllppprrrrrrtttwwwwwwtttnnngggbbbVVVRRRMMMJJJKKKLLLMMMLLLOOOPPPQQQSSSUUUWWWXXXYYYUUUTTTSSSSSSRRROOOJJJGGGFFFCCC>>>:::999:::===>>>HHHJJJNNNQQQSSSSSSRRRQQQSSSSSSTTTVVVWWWUUUQQQNNNOOONNNMMMLLLKKKIIIGGGEEEBBB???:::777444000---***)))))))))***************))))))))))))))))))))))))))))))))))))((((((((((((''''''((((((((((((((((((((((((((((((((((((((((((&&&'''((((((((((((''''''))))))((((((((('''''''''))))))((((((((('''''''''&&&'''''''''(((((()))))))))((('''&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((''''''''''''&&&&&&&&&&&&'''((())))))((('''&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&(((((('''&&&&&&'''%%%%%%''')))'''%%%&&&)))(((''''''''''''&&&&&&&&&''''''&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%'''***,,,,,,+++((('''&&&'''''''''''''''''''''%%%%%%&&&&&&&&&'''&&&&&&((((((((((((((((((((((((%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&''''''(((''''''''''''''''''''''''&&&&&&&&&'''((((((((()))''''''''''''''''''''''''&&&'''''''''''''''''''''((('''&&&%%%%%%&&&'''((('''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%"""%%%''''''&&&%%%$$$%%%&&&'''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((())))))******(((((())))))))))))((((((((((((''''''''''''((((((&&&&&&''''''((()))))))))'''''''''((((((((())))))))))))(((((())))))***+++&&&'''((()))))))))))))))&&&&&&'''''''''(((((((((((())))))******))))))((((((((())))))))))))******))))))))))))))))))))))))'''''''''((((((((())))))************+++,,,------888666444444666999::::::<<>>>>>>>>;;;888555555666666666666777777333444666888888888666555333444444444444666999;;;???BBBDDDCCC@@@???AAADDDDDDIIIMMMMMMIIIDDDBBBAAA@@@BBBDDDFFFIIIMMMSSSWWWcccdddiiinnnrrrxxxyyyuuuvvvuuunnnhhhaaaZZZUUUVVVaaannn~~~~~~tttjjjaaaWWWTTTQQQQQQOOOOOOVVV^^^kkknnnrrrtttrrrlllddd```YYYTTTMMMHHHFFFGGGHHHIIIBBB@@@===:::888777888888999888777777888;;;???AAAAAAEEELLLSSSZZZ```fffkkklllqqqwww}}}~~~zzzuuurrreee___WWWRRRPPPOOOMMMKKKKKKLLLNNNPPPSSSWWWZZZ[[[VVVUUUTTTUUUUUUSSSQQQNNNJJJHHHDDD@@@<<<:::999999CCCFFFJJJNNNPPPPPPOOONNNOOOOOOPPPSSSUUUUUUSSSQQQOOOOOOOOONNNMMMKKKJJJIIIHHHEEE@@@<<<999555111...,,,,,,+++++++++*********))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&&&&&&&(((((((((((((((((((((((()))))))))(((((((((''''''&&&&&&''''''((()))))))))((('''''''''''''''((((((%%%%%%%%%&&&''''''(((((((((''''''''''''&&&&&&&&&'''(((((((((((((((((('''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((&&&&&&&&&'''&&&'''((()))(((&&&'''((((((''''''''''''&&&&&&&&&'''&&&&&&&&&&&&'''((((((%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&(((******)))((('''&&&&&&&&&'''''''''''''''%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&###&&&((()))(((&&&%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((())))))***(((((())))))))))))((((((((((((((((((((((((((((((&&&'''''''''(((((())))))(((((((((((())))))))))))***************+++,,,,,,&&&'''((())))))(((''''''''''''((((((((()))))))))))))))************))))))(((((()))))))))*********))))))))))))))))))))))))(((((()))))))))*********)))******+++,,,...///000BBB???;;;:::<<<>>>???>>>>>>BBBEEEHHHHHHGGGGGGGGGEEEDDDAAA???<<<:::999888888999<<<@@@DDDIIILLLNNNOOOQQQSSSQQQNNNIIIFFFDDDAAA===999999;;;<<<999666666666666666666666666666222444666777888666444333111444666888:::>>>DDDHHHKKKNNNOOOLLLFFFCCCDDDGGGFFFIIIKKKIIIFFFEEEHHHLLLKKKQQQXXX\\\___fffqqqzzz~~~~~~|||tttjjjaaa]]]bbbssssssmmmgggeeeeeeeeeiiipppqqqtttwwwwwwtttmmmeee___ZZZXXXTTTOOOMMMOOOTTTXXXSSSPPPJJJEEE@@@===<<<<<<:::888777666666888:::<<<;;;>>>CCCGGGKKKPPPWWW\\\aaafffnnnvvv{{{}}}}}}|||qqqlllfffcccbbb```[[[WWWOOOOOOPPPQQQRRRUUUWWWXXXUUUTTTSSSSSSTTTTTTSSSRRRMMMMMMKKKIIIEEEAAA===;;;???BBBGGGKKKNNNNNNMMMKKKIIIIIIJJJNNNQQQTTTTTTSSSPPPQQQQQQPPPNNNMMMMMMMMMMMMJJJFFFCCC???;;;666333///...------,,,+++******))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))******++++++(((((((((((((((((((((((('''&&&%%%%%%%%%&&&((()))'''''''''((())))))******))))))))))))((((((((('''&&&&&&''''''((())))))***'''&&&&&&''''''((()))***%%%&&&&&&'''(((((())))))(((''''''''''''&&&&&&&&&(((''''''&&&&&&''''''(((''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''%%%%%%&&&'''&&&'''''''''((()))((('''(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''((((((&&&&&&&&&&&&'''''''''(((''''''''''''''''''''''''&&&'''(((((())))))((((((&&&&&&&&&'''''''''((((((&&&%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&'''((((((''''''''''''''''''''''''''''''&&&%%%%%%$$$######''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''$$$%%%%%%&&&&&&'''''''''%%%(((+++,,,***(((''''''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&&&&'''(((((())))))(((((())))))))))))((((((''''''(((((((((((('''''''''''''''((((((((((((((()))************++++++++++++************+++,,,,,,'''((()))******)))((('''(((((((((((())))))))))))))))))************))))))(((((())))))*********+++)))))))))))))))))))))))))))************+++++++++)))******+++---///111222@@@===999999<<>>;;;999888888888???AAAEEEIIIMMMPPPQQQRRRMMMNNNPPPNNNJJJEEEBBB@@@>>>999666666:::;;;999555888888777666666555444444333555777888888777555333222666:::>>>AAAGGGOOOTTTTTTWWWWWWRRRKKKFFFFFFHHHDDDFFFHHHFFFFFFKKKTTT\\\```iiisssyyy}}}|||{{{xxx|||}}}wwwmmmhhhooo~~~~~~xxxnnnddd^^^YYYYYYWWWSSSQQQUUU]]]cccddd```YYYQQQJJJFFFCCCBBB:::888777666666777999:::888:::===>>>@@@DDDJJJOOOTTTXXX```iiipppvvvyyy{{{uuusssqqqrrrtttssslllfffWWWVVVTTTSSSRRRRRRRRRSSSSSSQQQOOOPPPQQQRRRRRRRRRQQQRRRRRRRRRNNNIIIDDD@@@<<<@@@EEEJJJLLLMMMKKKJJJEEEEEEFFFIIINNNRRRTTTTTTQQQRRRRRRQQQPPPOOOOOOPPPQQQNNNKKKGGGDDD???:::777000000///...,,,+++******))))))))))))))))))))))))(((((((((((())))))))))))))))))******+++++++++,,,((((((((((((((((((((((((***)))'''&&&''')))+++,,,&&&&&&'''((()))***++++++))))))))))))((((((((((((&&&&&&&&&'''((())))))***&&&&&&&&&&&&((()))***+++&&&&&&''''''((()))******(((((('''''''''&&&&&&&&&''''''%%%$$$$$$%%%'''''''''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''((((((&&&$$$###$$$&&&&&&&&&%%%%%%'''******'''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''((()))&&&'''''''''(((((())))))''''''''''''''''''''''''((((((((((((((()))))))))&&&&&&&&&'''''''''((((((&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&'''((()))''''''''''''''''''''''''((('''&&&$$$""" ''''''''''''''''''''''''&&&&&&&&&'''''''''((((((%%%&&&'''(((((('''&&&%%%''''''''''''''''''''''''###$$$$$$%%%&&&'''(((((("""%%%((()))(((&&&$$$$$$&&&&&&&&&'''''''''((((((''''''''''''''''''''''''((((((((((((((((((((((((%%%%%%%%%&&&'''(((((()))(((((())))))))))))((((((''''''((((((((((((''''''((((((((((((((((((((((((++++++,,,,,,,,,---------***************++++++,,,))))))))))))))))))))))))''''''''''''((((((((((((++++++***)))(((((())))))+++***)))(((((()))***+++((((((((((((((()))******((())))))***************+++++++++,,,---000222444777:::<<<===;;;<<<>>>AAACCCEEEHHHIIIHHHEEEAAA>>><<<:::888777888;;;???BBBJJJMMMQQQTTTVVVUUUSSSRRRMMMLLLIIIFFFBBB===999777777777666666666666777777666666666444111111333555333555666888999999888777===???CCCGGGMMMTTT\\\aaa```ZZZQQQKKKHHHHHHIIIIIIHHHFFFIIIQQQXXX^^^jjjvvvrrroooooonnnsss|||zzzrrrzzzyyyyyy}}}zzzlllaaa]]]SSSLLLLLLMMMQQQ[[[ggglllkkkjjjfff```UUUJJJBBB>>><<<:::888888999::::::999999:::;;;===???AAABBBHHHKKKQQQXXX```gggmmmpppmmmooosssvvvxxxyyyyyyxxxnnnggg___[[[[[[YYYTTTNNNUUUOOOLLLPPPQQQNNNNNNQQQSSSQQQPPPPPPPPPOOOLLLJJJDDDBBBBBBFFFMMMPPPNNNKKKFFFEEECCCCCCEEEIIIMMMPPPSSSSSSSSSSSSSSSSSSSSSSSSOOOLLLIIIGGGGGGEEEAAA===:::555///+++***+++,,,,,,+++***'''&&&&&&(((***,,,(((((())))))))))))((((((''''''''''''''''''''''''******)))((('''&&&%%%%%%''''''((((((((((((''''''&&&'''((((((&&&$$$!!!((((((((((((((((((((((((%%%''')))******)))'''%%%))))))))))))))))))))))))%%%&&&&&&''''''&&&&&&%%%((((((((((((((('''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''(((((((((((('''''''''&&&&&&&&&'''&&&&&&&&&((()))((('''+++***(((&&&%%%%%%%%%&&&((((((((((((((((((((((((''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###''''''((((((((((((''''''))))))))))))((((((((((((((('''&&&&&&'''((('''%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''((((((''''''((())))))(((&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&((())))))******&&&&&&&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''))))))((((((''''''''''''''''''''''''((((((((((((***'''$$$$$$'''***+++***'''&&&&&&%%%%%%&&&&&&'''(((((())))))((('''&&&&&&&&&&&&&&&(((******(((&&&))))))(((((((((((())))))(((''''''(((((()))***+++(((((((((((()))***+++,,,))))))))))))))))))))))))((((((((())))))))))))***++++++***)))))))))))))))******)))(((((()))******((((((((((((((()))******++++++************++++++++++++,,,...000333666888<<<>>>@@@@@@>>>>>>???AAA@@@AAAAAAAAA@@@>>>;;;:::999999;;;>>>BBBGGGKKKNNNOOOQQQSSSTTTTTTSSSQQQPPPHHHGGGEEEAAA>>>;;;888777777777666666555666666666888888777666555444555666666666888:::;;;======>>>@@@BBBFFFJJJNNNSSSXXX[[[ZZZUUUOOOKKKJJJLLLMMMNNNQQQPPPUUUaaammmwwwyyyvvviiikkkqqqttt{{{zzzsssqqqyyy~~~qqqcccTTTNNNMMMPPPVVV^^^ffffffggghhhggg___TTTKKK===;;;999777888999999:::777777777777888999:::;;;@@@BBBFFFLLLSSSYYY^^^aaahhhkkknnnssswww{{{}}}~~~|||wwwrrrpppnnniii___XXXTTTMMMIIIKKKMMMMMMOOOTTTRRRQQQRRRSSSSSSQQQNNNKKKHHHFFFEEEHHHMMMPPPOOOMMMIIIGGGCCC@@@@@@CCCFFFIIIQQQRRRSSSSSSTTTTTTTTTTTTSSSPPPMMMLLLLLLJJJFFFBBB===999444000......---,,,+++***(((''''''((()))***(((((())))))))))))(((((((((((((((((((((((((((((()))))))))(((''''''&&&&&&''''''((((((((((((''''''))))))))))))(((&&&%%%###((((((((((((((((((((((((&&&'''((())))))((('''&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%((((((((((((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((('''''''''&&&&&&&&&'''&&&&&&&&&'''((((((((()))((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''(((''''''&&&&&&''''''(((''''''((((((((((((''''''''''''((((((((((((''''''''''''''''''''''''''''''((('''&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''&&&&&&'''(((((('''%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''((())))))))))))''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&''''''''''''((('''''''''''''''''''''''''''''''''&&&&&&'''''''''((((((((((((''''''&&&&&&''''''''''''(((((((((((((((%%%"""###&&&((()))((((((''''''&&&&&&''''''((((((((())))))(((''''''&&&)))((()))***,,,,,,***)))))))))(((((((((((())))))+++******)))))))))******((((((((())))))***+++,,,))))))))))))))))))))))))))))))))))))************+++***))))))))))))))))))))))))(((((((((((()))))))))(((((((((((()))******///---+++***)))***+++,,,,,,---///111444888;;;<<<@@@BBBCCCBBB@@@??????@@@===<<<:::999888888888888:::<<>>;;;999888888888777777666555555555555555666555555666777888888777;;;;;;<<<===???BBBDDDFFFFFFGGGJJJMMMQQQTTTVVVXXXYYYWWWUUUUUUYYY]]]aaabbbdddeeekkkzzz|||uuu}}}xxxrrrxxxyyytttvvv~~~{{{dddYYYVVVWWWXXXYYY]]]\\\^^^dddgggcccVVVLLL???===::::::;;;<<<;;;;;;999888777777666666777777;;;<<<>>>AAAEEEJJJNNNQQQ\\\___ccciiiqqqxxx~~~{{{ooofff\\\TTTMMMKKKKKKLLLOOORRRQQQQQQRRRTTTVVVUUURRROOOOOOLLLIIIJJJNNNQQQPPPOOONNNKKKFFFBBB??????AAACCCLLLNNNPPPRRRTTTUUUVVVVVVUUUSSSQQQPPPOOOMMMJJJHHHBBB???:::777444222///,,,++++++***)))(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&)))))))))(((((((((''''''((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''((((((((((((((((((''''''''''''''''''''''''&&&''''''''''''((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&%%%&&&''''''(((&&&'''''''''''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''((((((''''''''''''(((((()))))))))******)))))))))''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&(((&&&%%%&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''((()))(((((()))******)))'''&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''&&&''''''(((((()))))))))''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((((((((((((***(((&&&''')))+++++++++)))(((((((((((((((((()))(((((()))))))))(((''''''***))))))***,,,,,,+++)))***))))))(((((())))))***------,,,+++***))))))***)))))))))))))))***,,,,,,(((((((((((((((((((((((((((((()))))))))***************)))))))))))))))***)))(((((((((((((((((()))))))))(((((())))))***+++000...+++)))((()))+++,,,///000222555777:::<<<>>>AAABBBBBBAAA???===<<<;;;:::888666555555888;;;===BBBEEEKKKPPPTTTVVVVVVUUUTTTRRRNNNIIIEEECCCAAA@@@===;;;999777666777888999777666666555444555555555666555666999===@@@???>>>CCCBBBBBBDDDGGGKKKOOORRRUUUTTTSSSUUUYYY^^^bbbdddiiiiiikkkpppwww}}}|||ooommmlllhhhddd```]]]]]]ccchhheeeYYYNNNIIIFFFBBBAAABBBAAA???===>>>===<<<;;;::::::::::::<<<<<<<<<===???AAADDDFFFMMMOOOSSSZZZcccnnnwww||||||uuummmggg^^^WWWSSSPPPNNNNNNPPPOOOOOOQQQSSSUUUUUUTTTSSSPPPMMMMMMOOOQQQQQQQQQQQQOOOLLLIIIFFFCCCAAAAAADDDFFFIIIMMMQQQTTTVVVWWWTTTSSSRRRQQQPPPNNNLLLKKKFFFDDD@@@===:::666111------,,,,,,+++***)))((('''***))))))))))))))))))***))))))))))))))))))))))))''''''(((((())))))))))))&&&&&&''''''''''''&&&&&&'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''''''''(((((((((((('''''''''''''''''''''''''''''''''''''''(((((((((''''''''''''''''''''''''%%%%%%%%%%%%$$$%%%&&&((($$$%%%'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''((((((((((((''''''&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&''''''''''''&&&%%%&&&(((((((((&&&''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''((()))((('''(((******((('''''''''''''''''''''''''''(((((()))(((((('''&&&&&&%%%%%%&&&'''((())))))***%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&''''''''''''''''''&&&''''''''''''&&&&&&&&&&&&''''''''''''(((((((((((())))))((((((***+++,,,,,,)))((((((''''''(((((()))(((((()))))))))((((((''')))((('''(((*********(((***))))))))))))))))))***,,,,,,+++***************))))))))))))***+++,,,,,,(((((((((((((((((((((((('''''''''((((((((())))))***)))))))))))))))******(((((())))))))))))(((((()))))))))))))))***++++++...,,,***((((((***,,,---333444666888:::;;;======@@@@@@??????>>><<<999777777666444555888===BBBEEELLLNNNSSSWWWYYYXXXVVVTTTRRRNNNIIICCC???<<<;;;;;;999888666555555777888:::666666555555555555666666:::;;;<<>>>>>>>>>>>>>>>>>===<<<<<<<<<===>>>>>>BBBCCCFFFLLLVVV```jjjpppzzz|||yyyrrrjjjccc]]]VVVQQQMMMKKKIIIIIILLLPPPSSSTTTTTTRRROOONNNOOOPPPQQQRRROOOPPPQQQPPPNNNIIIDDDAAA===???BBBFFFKKKPPPSSSUUURRRSSSSSSRRRPPPOOONNNMMMIIIGGGEEEBBB???:::444000000///...---+++***((('''******))))))))))))******((((((((((((((((((((((((''''''(((((()))*********&&&''''''''''''''''''&&&&&&&&&%%%&&&&&&'''))))))((((((((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((&&&''''''((((((''''''&&&&&&'''''''''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&'''''''''''''''''''''###%%%''''''%%%%%%&&&((($$$%%%&&&((()))((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&&&&&&&'''''''''((((((((('''&&&%%%&&&((()))((('''''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''(((%%%$$$$$$%%%&&&&&&%%%###''''''''''''''''''''''''))))))))))))((('''&&&%%%$$$$$$%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&'''(((((('''&&&&&&''''''''''''''''''''''''''''''''''''(((((((((((($$$$$$%%%%%%%%%&&&'''((((((''''''''''''''''''((((((((()))))))))))))))((()))'''&&&''')))***)))(((******))))))))))))******)))))))))))))))***+++,,,))))))))))))***+++,,,---))))))))))))))))))))))))''''''''''''(((((((((((()))))))))))))))******+++))))))************))))))***))))))))))))***++++++++++++******+++---///111666777999;;;===>>>>>>???@@@??????@@@@@@???;;;888666666777999>>>CCCIIILLLRRRTTTVVVXXXYYYWWWUUUTTTMMMJJJEEE???<<<:::999:::888777666555666666888888666555555666666777888999;;;>>>AAACCCFFFKKKPPPTTT```bbbffflllttt~~~~~~tttppprrr{{{yyyyyy}}}vvvooofffaaa]]]WWWNNNGGGEEEDDDCCCBBBAAA@@@@@@@@@@@@@@@???>>>===<<<;;;;;;>>>???@@@DDDKKKSSS\\\aaarrrxxxyyytttppphhh```OOOLLLHHHGGGIIILLLNNNOOOPPPOOONNNNNNNNNOOOQQQRRRLLLNNNQQQRRRQQQLLLFFFCCC<<<======@@@DDDIIINNNPPPQQQRRRSSSRRRQQQOOOOOOPPPLLLJJJHHHFFFDDD@@@:::666444333111...,,,+++***)))+++***)))(((((()))***+++((((((((((((((((((((((((((((((((())))))*********''''''((((((((((((''''''&&&''''''((())))))******(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))''''''((((((((((((''''''&&&&&&''''''((()))))))))&&&&&&&&&&&&&&&&&&&&&&&&)))))))))(((((((((((('''&&&&&&&&&'''''''''''''''###'''+++,,,)))'''((()))%%%%%%&&&'''((((((((('''((((((((((((((((((((((((''''''''''''''''''''''''))))))(((((((((((())))))&&&''''''((((((''''''&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&'''(((((())))))&&&%%%%%%&&&((()))((('''''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''((()))((('''(((******((('''''''''''''''''''''''''''(((((())))))((('''&&&&&&$$$$$$%%%%%%&&&'''''''''))))))))))))))))))))))))&&&&&&&&&''''''''''''(((''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%'''''''''(((((((((((((((''''''''''''((((((((((((###%%%&&&'''&&&&&&''')))(((''''''&&&&&&''''''((((((((()))*********))))))***)))'''(((***++++++***+++******))))))******+++((((((((())))))+++,,,,,,******)))******+++,,,---))))))))))))))))))))))))'''(((((((((((())))))))))))))))))))))))***++++++)))***+++,,,,,,+++***)))******))))))******+++,,,)))***+++---///111444555888999<<>>;;;<<>>;;;888777888888666666666666666666555555555555555666888999;;;<<<<<>>======>>>BBBGGGLLLPPP^^^gggqqqwwwxxxyyy|||~~~xxxpppXXXUUURRRPPPOOONNNLLLKKKJJJKKKMMMMMMNNNNNNPPPQQQNNNOOOQQQRRRPPPMMMIIIGGGAAA???===<<<>>>BBBGGGJJJLLLOOOPPPPPPNNNLLLMMMOOONNNMMMKKKJJJHHHEEEAAA===999666333///---,,,++++++,,,+++)))(((((()))+++,,,))))))))))))))))))))))))))))))))))))))))))******(((((())))))))))))((((((%%%&&&'''((())))))((((((((((((((((((((((((((((((&&&'''((())))))((('''&&&((((((((((((((((((((((((''''''((((((((((((''''''&&&&&&''''''((())))))***''''''''''''''''''''''''))))))))))))((((((((('''&&&&&&&&&'''''''''((((((%%%+++111222///,,,+++,,,''''''&&&&&&&&&''''''((())))))))))))))))))))))))''''''''''''''''''''''''))))))(((((((((((())))))&&&''''''((((((''''''&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&''''''((((((&&&%%%$$$&&&((())))))(((''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&''''''''''''(((+++******+++,,,,,,+++)))'''''''''''''''''''''''''''(((((((((((((((''''''&&&&&&&&&&&&''''''''''''((((((((((((((((((((((((&&&&&&&&&''''''''''''(((''''''''''''''''''''''''%%%&&&((())))))(((&&&%%%((((((((()))))))))******''''''''''''((((((((((((&&&(((***+++))))))***,,,)))((((((''''''(((((()))(((((()))******************(((&&&&&&(((******)))+++******))))))******+++++++++*********++++++,,,************+++,,,------))))))))))))))))))))))))))))))))))))************))))))((())))))***++++++***+++,,,------,,,+++************)))******+++,,,(((***,,,///222555777888888:::===AAADDDFFFGGGGGGGGGFFFGGGJJJLLLLLLHHHDDDAAADDDGGGLLLQQQTTTVVVWWWXXXVVVRRRMMMIIIFFFDDDCCC===;;;888666555555555666666666666666666555444333444555555777999;;;===>>>BBBKKKVVV___gggtttyyykkk```^^^\\\YYYVVVSSSPPPNNNNNNQQQRRRSSSSSSRRROOOKKKIII>>><<<::::::;;;>>>BBBDDDIIITTTbbbjjjnnnqqqvvv{{{~~~xxxbbbaaa^^^\\\YYYTTTNNNJJJFFFHHHKKKMMMMMMNNNOOOPPPSSSSSSRRRQQQPPPNNNMMMLLLFFFCCC>>>;;;:::===BBBEEEGGGJJJLLLLLLJJJHHHJJJKKKPPPOOOMMMLLLKKKIIIEEEBBB;;;888444000---,,,------,,,+++)))(((((()))+++,,,******************************))))))))))))))))))))))))************))))))"""###%%%''''''&&&%%%$$$((((((((((((((((((((((((&&&''')))******)))'''&&&''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&&&&'''((())))))***))))))))))))))))))))))))******))))))((((((((('''&&&&&&&&&'''''''''(((((('''---555777444///......((((((&&&%%%%%%&&&'''((())))))))))))))))))))))))''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%######$$$%%%%%%&&&''''''&&&%%%$$$&&&((())))))(((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&%%%%%%&&&''''''&&&$$$((((((((((((((((((((((((''''''((((((((((((((('''((((((((((((((('''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((''''''''''''''''''''''''%%%&&&((())))))(((&&&%%%(((((())))))******++++++''''''''''''((((((((()))###&&&))))))''''''(((*********))))))))))))******(((((()))***************'''%%%######%%%'''''''''++++++************++++++......---,,,++++++++++++************+++,,,---...++++++******)))(((((((((+++***)))'''''''''((())),,,+++***))))))***+++,,,%%%000888666///,,,++++++((()))++++++,,,---000222---///222444555666999;;;;;;===AAACCCEEEHHHKKKNNNJJJMMMOOOPPPOOONNNMMMMMMQQQQQQRRRSSSTTTVVVVVVWWWYYYTTTMMMHHHFFFDDDAAA>>>:::888666555555666555444444555666666777777777777:::777666888>>>CCCEEEEEEJJJYYYmmmyyyuuupppqqqnnnhhheeeeeeccc___aaabbb^^^YYYXXXZZZUUUMMMBBB===999999<<<>>><<<:::>>>DDDMMMTTTZZZaaaiiinnntttxxx}}}~~~||||||lllkkkkkkmmmnnnjjjaaaYYYNNNJJJFFFEEEGGGLLLPPPRRRPPPOOOQQQUUUUUUQQQPPPRRRMMMHHHAAA<<<::::::::::::@@@CCCEEEEEEDDDEEEHHHKKKKKKPPPPPPKKKIIIKKKIIICCCCCC@@@;;;666333000,,,))),,,+++))))))******(((''')))))))))))))))))))))))),,,)))'''''')))***(((%%%(((((((((((((((((((((((()))((('''''''''(((***+++(((((())))))))))))(((((())))))))))))))))))))))))((('''&&&%%%&&&''')))***((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&((((((((((((((((((((((((%%%&&&(((******)))&&&%%%)))((((((''''''(((***+++)))111LLLUUUSSSHHH---'''((((((''''''''''''(((((())))))(((((('''''''''&&&'''&&&&&&''')))***)))'''&&&&&&'''''''''&&&$$$###''''''''''''''''''''''''''''''''''''''''''''''''(((''''''&&&&&&&&&''''''))))))(((((('''''''''&&&((((((((((((((((((((((((&&&&&&''''''(((((())))))((((((((('''&&&&&&&&&%%%&&&&&&%%%$$$%%%&&&'''(((&&&&&&&&&'''''''''((((((((('''&&&%%%%%%&&&'''((())))))(((((('''''''''&&&%%%&&&((())))))(((&&&%%%***)))((('''&&&&&&'''(((((((((((((((((('''''''''(((((('''''''''&&&&&&&&&&&&&&&&&&''''''''''''(((&&&%%%$$$###$$$&&&)))******************)))((((((''''''''''''(((((((((((((((((((((((())))))))))))******))))))(((((('''''')))))))))***++++++,,,,,,))))))))))))))))))))))))******+++++++++,,,,,,,,,++++++++++++++++++,,,,,,)))))))))))))))*********+++***)))((('''(((((()))++++++***))))))***++++++(((666BBB>>>444------...,,,------,,,******+++---///111444666777888;;;===???BBBEEEGGGIIILLLOOOQQQPPPRRRTTTUUUUUUTTTTTTTTTUUUUUUTTTTTTTTTTTTSSSSSSOOOKKKFFFBBB@@@>>>;;;888666555555555555444333222999999999888888888:::;;;<<<<<<<<<===@@@GGGOOOUUUgggvvv~~~{{{{{{~~~~~~|||yyyvvvmmmccc______ZZZRRRHHHCCC???===???AAA@@@>>><<<@@@DDDHHHLLLRRRYYY^^^jjjnnntttxxxyyyyyyyyyyyyyyyyyy{{{}}}tttlll]]]WWWPPPJJJIIIJJJLLLMMMOOOMMMOOOSSSSSSPPPOOOQQQOOOKKKEEE@@@>>><<<:::888;;;===??????>>>???BBBEEEFFFJJJJJJGGGFFFIIIHHHCCCDDD@@@<<<999666333000---...,,,***)))*********((())))))))))))))))))))))))+++)))'''(((***+++)))'''(((((((((((((((((((((((()))(((((('''((()))***+++(((((())))))))))))(((((())))))))))))))))))))))))(((((()))))))))(((((('''(((((((((((((((((((((((((((((())))))))))))(((((((((((((((((((((((((((((())))))))))))))))))((((((((((((''''''((()))***+++,,,555SSS^^^___UUU777---((((((''''''''''''(((((()))((((((((('''''''''''''''&&&&&&''')))***)))'''''''''((((((((('''&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''(((''''''&&&&&&&&&'''''')))(((((((((''''''''''''(((((((((((((((((((((((('''''''''((((((((((((((('''''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%&&&'''(((&&&&&&&&&'''''''''((((((((('''&&&&&&&&&&&&'''((()))(((((((((''''''''''''%%%&&&'''))))))'''&&&%%%***)))((('''&&&''''''(((((((((((((((((((((((('''(((((('''''''''&&&&&&&&&'''''''''((((((((())))))&&&&&&$$$$$$%%%&&&((())))))))))))))))))((('''&&&''''''((((((((()))))))))''''''((((((((())))))))))))))))))))))))(((((((((,,,,,,++++++***)))))))))******************************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,---------'''(((((()))******++++++******)))((((((((())))))++++++***))))))***++++++)))999FFFAAA555---,,,...,,,------,,,***)))***,,,222444777999:::;;;>>>@@@EEEGGGKKKMMMOOOQQQSSSVVVVVVWWWXXXYYYZZZZZZZZZZZZYYYXXXVVVTTTQQQOOOMMMLLLDDDBBB???===;;;999666444444444555666555555444333888999999888888999<<>>???CCCIIIMMMYYY]]]ccciiillloooqqqsssyyy||||||rrrkkk```WWWQQQMMMJJJIIINNNLLLMMMPPPQQQOOOOOORRRPPPNNNJJJGGGDDD@@@<<<888777999:::::::::;;;===???@@@CCCDDDCCCEEEHHHIIIGGGEEECCC???===;;;888555333000...***)))***++++++***))))))))))))))))))))))))***)))((()))+++++++++)))((((((((((((((((((((((((((((((((((((((()))******(((((())))))))))))(((((())))))))))))))))))))))))$$$%%%((()))***)))'''&&&(((((((((((((((((((((((((((((())))))))))))((((((((((((((((((((((((((((((,,,+++)))'''''''''((()))''''''''''''((()))+++++++++999YYYbbb```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lllssseeeXXXOOOIIIGGGEEEBBBAAAAAACCCDDDEEECCCBBB@@@???@@@BBBDDDHHHLLLRRRWWW\\\```eeehhhlllrrr}}}|||sssjjjaaaXXXPPPLLLNNNKKKKKKMMMNNNMMMNNNRRROOONNNMMMLLLJJJFFFAAA===999::::::::::::;;;<<<======???@@@AAADDDHHHJJJKKKIIIGGGDDDBBB@@@===:::777333///+++))))))***++++++)))))))))))))))))))))))))))))))))***+++,,,,,,+++((((((((((((((((((((((((((((((((((((((())))))***(((((())))))))))))(((((((((((((((((((((((((((((( """$$$&&&'''(((((((((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&((((((((((((((((((((((((***))))))(((''''''''''''&&&''''''((()))***++++++,,,AAAcccbbbQQQAAA(((&&&((((((''''''''''''(((((((((((((((((((((''''''''')))'''&&&'''((()))((('''(((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((((((((((((((((('''''''''(((((((((((((((((((((((())))))((((((''''''&&&&&&%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&''''''(((''''''''''''(((((((((((('''''''''&&&&&&'''''''''((((((((((((((('''''''''&&&&&&'''(((((('''&&&&&&((((((((('''''''''((((((''''''''''''((((((((((((((((((((((((''''''''''''''''''((((((((()))))))))((('''&&&&&&&&&&&&''''''''''''(((((((((''''''&&&))))))))))))************&&&'''''''''((((((((((((((((((((())))))******+++)))))))))***++++++,,,,,,******************************+++++++++,,,,,,,,,,,,,,,,,,---......//////************))))))(((((())))))***************************++++++*********(((---...,,,***,,,,,,)))%%%'''***,,,...111444777777999<<<>>>@@@BBBEEEGGGMMMPPPTTTVVVWWWXXXYYYZZZ[[[YYYYYYZZZ\\\\\\ZZZXXXTTTRRRNNNJJJEEEAAA===;;;777888999888777666555555777777777555444666;;;???BBBFFFKKKKKKHHHEEEEEEFFFGGGKKKTTTaaauuuooo]]]RRRNNNOOOOOOLLLIIIHHHJJJMMMJJJIIIGGGFFFEEECCCBBBAAA>>>@@@DDDHHHLLLQQQVVVZZZ^^^fffttt}}}uuukkk```YYYQQQLLLJJJKKKJJJIIIKKKOOOLLLLLLMMMOOOOOOLLLHHHDDD>>>===<<<;;;<<<<<<<<<<<<:::::::::===@@@DDDHHHKKKLLLJJJHHHFFFDDDAAA===999666222...+++***++++++***************************))))))*********++++++,,,))))))))))))))))))))))))'''(((((()))))))))))))))(((((())))))))))))((((((((((((((((((((((((((((((&&&%%%%%%%%%%%%&&&((()))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&((((((((((((((((((((((((((()))***++++++)))'''&&&&&&''''''((()))*********...HHHjjj]]]@@@000###,,,((((((''''''''''''(((((('''''''''(((((((((((((((***(((&&&&&&'''(((((('''''''''''''''''''''((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&'''(((((('''''''''((((((((((((((((((((((((((((((((((((((())))))((((((''''''&&&&&&%%%&&&&&&&&&'''(((((((((&&&&&&'''''''''((((((''''''''''''((((((((())))))&&&''''''''''''''''''&&&'''''''''(((((((((((((((&&&''''''''''''''''''&&&''''''((((((((((((((((((&&&'''''''''(((((())))))))))))((((((((('''''''''&&&&&&'''''''''(((((((((((('''''''''&&&&&&'''''''''(((((())))))((((((((())))))))))))************'''''''''(((((((((((()))(((((())))))******++++++)))))))))***++++++,,,,,,******************************+++++++++,,,,,,,,,***++++++,,,---.........++++++******)))(((((('''((()))***+++++++++******)))***++++++++++++***)))******(((&&&)))//////+++)))+++...///000333666999:::===@@@BBBDDDFFFIIIKKKOOOSSSWWWYYYZZZZZZZZZ[[[^^^\\\[[[\\\]]]\\\WWWSSSKKKJJJGGGCCC???;;;888666444555666555444333444555777888888666555888===CCCHHHMMMQQQPPPKKKGGGGGGHHHXXX```nnnzzzfff[[[WWWZZZ\\\YYYSSSOOOQQQTTTQQQOOOMMMLLLKKKHHHEEEBBB===>>>???@@@AAADDDIIIMMMPPPXXXfffvvv~~~tttnnn[[[UUUOOOLLLIIIFFFGGGKKKKKKKKKLLLNNNPPPOOOMMMKKKCCCAAA>>>=========;;;:::888555555888;;;===AAAFFFLLLKKKIIIHHHGGGDDD@@@===;;;777222///...,,,+++***************************(((***+++***))))))***+++))))))))))))))))))))))))''''''((()))))))))))))))(((((())))))))))))(((((())))))))))))))))))))))))---,,,)))'''%%%&&&'''((((((((((((((((((((((((((((((((())))))))))))(((((((((((((((((((((((((((((((((***,,,......,,,***((('''(((((())))))))))))((((((@@@\\\KKK000(((###000((((((''''''''''''(((((('''''''''(((((((((((((((+++)))&&&&&&'''(((((('''''''''&&&&&&&&&'''((()))((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((()))'''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''&&&&&&&&&'''''''''''''''&&&&&&'''(((((((((((('''''''''((((((((()))))))))&&&&&&'''(((((('''&&&&&&'''''''''(((((((((((((((''''''''''''''''''''''''&&&'''(((((()))(((((((((&&&&&&''''''((())))))))))))))))))(((((((((''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''((()))))))))((((((((((((((()))))))))******(((((((((((())))))))))))))))))******************,,,,,,++++++***)))))))))++++++++++++++++++++++++******+++++++++,,,,,,,,,******+++,,,---......///*********)))))))))))))))((()))***++++++++++++***)))***++++++++++++***))))))++++++)))+++000000...---...111222333555888;;;>>>AAADDDFFFHHHKKKNNNPPPRRRUUUYYY\\\\\\\\\\\\\\\___]]][[[\\\]]]ZZZRRRLLLCCCBBB@@@===;;;888666555444555666444222222555777777;;;>>>???===>>>BBBFFFJJJOOOSSSRRROOONNNSSSXXXppp~~~}}}yyy|||yyyqqqkkkooorrrnnnddd]]]]]]___```\\\WWWUUUSSSQQQNNNLLLCCCBBB@@@===;;;<<<@@@CCCCCCKKKWWWfffssspppggg]]]VVVNNNHHHGGGJJJKKKKKKJJJLLLNNNPPPPPPOOOJJJGGGCCCAAA@@@???<<<:::999444333666888888<<>>>>><<<;;;999888666666666777777555333333777;;;999???FFFHHHFFFEEEGGGIIINNNRRRWWWXXXWWW\\\fffooo~~~}}}}}}zzzsssnnntttyyy~~~yyyooolllnnnoooiiibbb]]][[[ZZZXXXVVVIIIGGGCCC===999999;;;>>>???EEEPPP]]]jjjwwwwwwkkk```VVVMMMJJJLLLMMMKKKJJJJJJMMMOOOPPPPPPPPPLLLGGGEEEDDDBBB???<<<<<<666444777888777;;;BBBEEEEEEFFFHHHJJJIIIGGGEEEDDDAAA===999666222...+++************************(((***+++***'''%%%''')))))))))))))))))))))))))))&&&''')))*********)))((((((((())))))))))))(((((()))))))))))))))))))))))) """%%%'''''''''&&&((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&(((((((((((((((((((((((($$$$$$$$$$$$%%%'''(((***))))))*********((('''%%%%%%'''000&&&'''222'''###((((((''''''''''''((((((&&&'''''''''(((((()))))),,,)))&&&%%%&&&'''((('''***)))(((((((((***+++,,,))))))))))))))))))))))))''''''''''''''''''''''''%%%%%%%%%&&&'''((()))***&&&'''''''''(((((())))))((((((((((((((((((((((((&&&'''''''''(((((())))))(((((((((''''''&&&&&&%%%%%%&&&((()))))))))((('''(((((((((((())))))))))))%%%&&&'''(((((('''&&&%%%&&&'''''''''(((((())))))''''''&&&&&&&&&&&&''''''%%%&&&((()))))))))((((((&&&&&&&&&'''((())))))***))))))))))))(((((((((((((((((((((((())))))))))))%%%%%%'''((())))))))))))$$$%%%&&&&&&'''''''''&&&''''''''''''(((((((((((()))*********++++++++++++,,,+++++++++***))))))))))))))))))***++++++,,,,,,++++++++++++++++++++++++******+++++++++,,,,,,,,,,,,,,,---...///000111222+++)))(((((()))******)))(((((()))***+++,,,,,,,,,,,,------+++***)))***,,,,,,---......------///111111444888;;;;;;<<<<<<===CCCGGGMMMQQQTTTUUUVVVWWWYYYYYYYYY[[[^^^___^^^]]]]]]\\\ZZZWWWTTTMMMEEE@@@===:::777777999999888555888666777999999888<<>><<<;;;;;;>>>???GGGSSS]]]dddqqq~~~{{{qqqfff[[[QQQKKKLLLIIIFFFFFFIIILLLOOOPPPPPPNNNLLLIIIFFFBBB???>>>>>>===;;;999999:::;;;<<>>??????AAABBBEEEIIIOOOSSSUUUVVVWWWXXXZZZYYYYYY[[[]]]^^^]]][[[XXXVVVTTTQQQMMMGGGAAA<<<:::777555555666777666444444333444777888888<<>>>>>@@@???CCCKKKQQQWWWbbbmmmwww}}}~~~tttjjjaaa[[[TTTOOOHHHDDDEEEGGGJJJLLLLLLLLLLLLLLLJJJHHHFFFDDD>>><<<:::888777666666666???AAADDDFFFHHHHHHHHHGGGDDDDDDCCCAAA>>>:::666444...---------,,,,,,,,,+++))))))))))))*********+++))))))))))))))))))))))))(((%%%&&&))))))%%%&&&***)))(((((((((((((((((()))((((((((((((((('''''''''))))))))))))))))))))))))(((((('''''''''&&&&&&&&&'''''''''((((((((((((((())))))))))))))))))))))))(((((('''&&&&&&'''((()))))))))((('''''''''((()))''''''''''''''''''''''''''''''''''''((((((((()))''''''''''''''''''''''''&&&&&&''''''((())))))***((((((((((((((((((((((((---+++)))'''&&&&&&'''((('''''''''''''''''''''''''''&&&%%%%%%''''''&&&%%%(((((((((((((((((((((((()))(((((('''''''''(((((()))(((((((((''''''''''''''''''(((((((((((('''''''''''''''((((((***+++,,,(((''''''&&&&&&''''''(((***)))((('''&&&'''((((((((((((((('''''''''&&&&&&((((((&&&&&&&&&'''((())))))((((((((((((((())))))))))))))))))))))))))))))(((((((((((((((((((((((((((''''''''''''((())))))'''(((((())))))(((''''''(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))************))))))))))))************+++++++++*********))))))************++++++++++++************++++++,,,------...//////111444999<<<+++***((((((***+++***)))******************++++++,,,------,,,******+++---+++,,,,,,,,,,,,...111444777:::>>>BBBCCCEEEGGGHHHIIIMMMRRRUUUVVVWWWXXXYYY[[[ZZZZZZ[[[\\\\\\ZZZYYYTTTQQQMMMIIIEEEAAA<<<999888666555555666777666555444444666999::::::@@@HHHSSSYYY]]]XXXPPPLLLOOOTTTcccsss}}}uuunnniiifffccc\\\ZZZYYYYYYYYYYYYWWWVVVTTTUUUWWWYYYZZZZZZYYYYYYZZZXXXWWWXXXYYYZZZYYYXXXccceeejjjqqquuussskkkeee^^^[[[XXXWWWXXXYYYYYYXXX[[[YYYWWWWWWYYYZZZ[[[[[[]]]___aaacccjjjqqqrrrnnnjjjlllpppsssvvvzzz~~~zzzpppkkkfffaaaVVVSSSOOOJJJGGGEEEDDDDDDCCCAAAAAADDDGGGJJJRRRYYYfffppp}}}{{{uuuqqqccc\\\QQQIIIEEEEEEGGGHHHIIIKKKMMMOOOOOOMMMJJJHHHEEEDDDCCCAAA>>>;;;999888<<<===>>>@@@CCCEEEGGGHHHHHHHHHFFFDDDAAA>>><<<:::111///...,,,,,,,,,,,,---)))))))))***************)))))))))))))))))))))))))))((())))))'''###%%%***))))))************))))))'''((((((((((((((())))))))))))))))))))))))))))))(((((((((''''''''''''&&&((((((((((((((('''''''''))))))))))))))))))))))))''''''&&&&&&'''((())))))((((((((((((((()))******))))))(((((('''&&&&&&%%%''''''''''''((((((((((((''''''''''''''''''''''''&&&&&&''''''((()))))))))((((((((((((((((((((((((+++***((('''''''''((()))'''''''''''''''''''''''''''&&&%%%&&&'''''''''%%%(((((((((((((((((((((((())))))((((((((())))))***((((((((((((''''''''''''''''''((((((((((((''''''&&&&&&&&&&&&'''(((((())))))((((((''''''(((((()))***)))((('''''''''(((((())))))((((((((((((''''''&&&'''((()))))))))))))))))))))(((((('''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''(((((()))***'''((()))******)))((('''(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))************)))))))))*********+++++++++++++++***************************+++++++++,,,))))))******+++---...///...///222333555999===AAA,,,***))))))***++++++***+++++++++***************,,,------,,,******,,,---.../////////000222777::::::===AAAEEEGGGIIILLLNNNNNNQQQUUUWWWXXXXXXZZZ[[[]]]\\\[[[ZZZ[[[ZZZWWWUUUPPPLLLGGGBBB???===:::888888777777777888999999999:::999;;;=========DDDNNNUUUXXXYYYUUUOOOPPPZZZcccxxx~~~yyyssspppxxxssslllddd___]]][[[[[[XXXXXXYYYZZZ[[[[[[[[[ZZZYYY\\\aaaeeeggggggeeedddddddddeeehhhkkklllkkkjjjooopppssswwwyyywwwqqqmmmggggggggghhhiiihhhgggggggggdddaaa```______]]]\\\XXXZZZZZZZZZ^^^bbb```ZZZZZZ\\\^^^```bbbfffllloooqqqwww}}}zzzqqqkkk```\\\UUUOOOKKKJJJKKKMMMKKKIIIFFFEEEEEEGGGJJJNNNZZZdddqqq{{{uuummmaaaVVVOOOJJJGGGEEEHHHJJJMMMOOOOOOMMMJJJHHHKKKKKKKKKJJJGGGDDD@@@>>>;;;::::::;;;===AAAFFFHHHJJJJJJHHHFFFDDDBBBAAA@@@777555111...,,,+++,,,,,,************************))))))))))))))))))))))))+++******)))((('''(((+++)))***+++,,,,,,+++***)))''''''(((((()))))))))***((((((((((((((((((((((((((((((((('''''''''''''''))))))((((((''''''&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&'''(((((())))))))))))((()))))))))))))))((((((((('''''''''&&&'''''''''(((((((((((((((''''''''''''''''''''''''''''''''''''(((((())))))(((((((((((((((((((((((((((((('''''''''(((((()))''''''''''''''''''''''''(((&&&%%%&&&'''((('''&&&((((((((((((((((((((((((((((((((('''(((((())))))((((((((((((((('''''''''''''''((((((((((((''''''***)))((('''&&&%%%%%%%%%++++++************++++++)))))))))((((((((((((((()))))))))))))))((((((((($$$$$$%%%&&&'''((((((((())))))(((''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''((())))))***))))))))))))))))))******((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))************))))))*********+++++++++*********************************+++++++++,,,,,,,,,,,,,,,,,,---///000111---000444888;;;???DDDHHH,,,***))))))***++++++***+++++++++***************,,,,,,---,,,++++++,,,......///111222333666;;;>>>===@@@DDDGGGIIILLLOOORRRSSSUUUXXXYYYYYYYYYZZZ[[[^^^\\\ZZZYYYXXXVVVSSSQQQJJJFFF@@@<<<:::999777666666777777888888999;;;<<<===<<<===>>>===???IIIUUU^^^___^^^[[[\\\dddrrr~~~~~~{{{sssmmmnnnooolllgggffffffdddaaa^^^\\\\\\^^^```cccdddfffggghhhiiiiiijjjooosssxxx~~~~~~}}}{{{}}}~~~|||yyyuuurrrpppmmmjjjhhhddddddbbb___```aaa\\\UUUXXXYYYYYYXXXYYY[[[___bbb___dddiiijjjiiinnnxxxuuuiiiddd\\\TTTPPPQQQSSSVVVZZZYYYUUUQQQNNNLLLJJJHHHOOOVVV___fffnnnyyy{{{rrrhhh^^^TTTLLLFFFGGGHHHJJJKKKLLLKKKJJJJJJGGGHHHIIIJJJIIIFFFCCCBBB===;;;999888:::>>>CCCFFFJJJIIIHHHGGGEEEDDDCCCCCC>>><<<777222///,,,,,,++++++++++++***************))))))))))))))))))))))))******)))((()))+++***))))))***+++,,,,,,+++***)))'''((((((((())))))******(((((((((((((((((((((((((((((((((((((((((((((((())))))((((((''''''&&&&&&((((((((((((((((((((((((%%%&&&&&&'''''''''''''''))))))))))))(((((('''''''''''''''((((((((())))))((((((((((((((('''''''''((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((((((((((((((('''''''''''''''(((((()))''''''''''''''''''''''''((('''&&&&&&(((((('''&&&(((((((((((((((((((((((('''&&&&&&&&&''''''((()))'''''''''(((((((((((((((''''''((((((((((((''''''+++***)))(((''''''''''''++++++************++++++)))))))))))))))(((((((((((((((((()))))))))))))))%%%$$$######$$$&&&((()))((((((''''''''''''(((((((((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((()))******+++***(((''''''))),,,...))))))))))))))))))))))))((((((((((((((((((((((((((()))))))))************************++++++++++++***************************++++++++++++,,,,,,,,,------------...///000000...222777===BBBGGGLLLOOO,,,+++))))))+++,,,+++*********************+++++++++,,,---,,,++++++---///,,,///222444666999===@@@AAACCCGGGIIILLLNNNRRRUUUVVVXXXZZZZZZZZZYYYZZZ[[[]]]ZZZXXXUUUTTTQQQMMMJJJBBB???:::666555666555555444555777777777888;;;=========>>>@@@AAAGGGWWWfffrrrpppnnnooouuu|||xxxssslllgggfffaaa^^^aaadddcccccceeeeeefffgggggghhhkkkooorrr~~~|||zzzvvvpppooonnnhhhaaa^^^^^^]]]ZZZXXXWWWYYY\\\YYYZZZ[[[[[[ZZZ\\\aaafffggglllssszzz~~~rrrmmmgggaaa^^^___aaaccclllmmmjjjddd```[[[SSSKKKJJJKKKNNNSSS[[[iiizzz}}}vvvnnnbbbWWWPPPJJJJJJHHHHHHHHHIIIKKKLLLEEEFFFHHHJJJJJJIIIHHHGGGBBB???;;;999999<<<@@@CCCHHHHHHHHHHHHGGGFFFEEEEEEDDDAAA===888444000...---+++++++++++++++*********))))))))))))))))))))))))(((+++,,,***((())))))'''******++++++++++++******((())))))))))))))))))***))))))))))))))))))))))))'''(((((((((((()))))))))((((((((((((((('''''''''))))))))))))))))))))))))&&&&&&''''''''''''&&&%%%''''''((((((((((((''''''&&&&&&'''(((((()))******((((((((((((((('''''''''((((((((((((((((((((((((''''''((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''((('''&&&'''(((((('''&&&((((((((((((((((((((((((&&&&&&%%%&&&&&&'''((()))'''''''''(((((((((((((((''''''(((((((((((('''''''''''''''((()))***,,,---)))((((((''''''(((((()))))))))*********)))((('''''''''(((((((((((())))))((('''&&&%%%%%%''')))+++''''''&&&&&&''''''((()))(((((((((((((((((((((((())))))))))))))))))))))))))))))(((((())))))***+++,,,***((('''(((***---///))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))*********************++++++++++++,,,***************+++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,---...000111222222777>>>DDDIIINNNRRRUUU---+++******+++,,,++++++)))))))))***+++++++++,,,+++,,,------,,,,,,...///,,,///444888;;;===@@@BBBEEEGGGJJJLLLNNNQQQUUUWWWYYYZZZ[[[[[[ZZZYYYZZZ[[[YYYWWWSSSPPPNNNJJJEEEBBB>>>;;;777555666666666666333666888999888:::===@@@BBBCCCFFFJJJPPP\\\rrr}}}qqqpppmmmjjjfffdddbbbbbbbbb___aaagggkkkmmmrrrwww|||yyyssssssqqqmmmiiigggggghhhdddbbb^^^\\\ZZZZZZZZZZZZXXX\\\bbbfffiiilllqqqtttzzzyyyxxxwwwvvvvvvvvvvvvxxx|||~~~{{{xxxssshhh\\\RRRNNNJJJIIIOOO[[[gggpppyyy|||tttjjjcccXXXTTTMMMHHHEEEEEEHHHJJJGGGHHHJJJLLLMMMMMMMMMMMMHHHEEE@@@;;;:::;;;>>>@@@FFFGGGIIIJJJJJJHHHGGGFFFEEEDDDAAA===999555333111,,,,,,,,,++++++*********))))))))))))))))))))))))(((333999222)))&&&((()))******))))))))))))***************)))))))))))))))))))))))))))))))))))))))'''((((((((())))))))))))'''''''''((((((((((((((())))))))))))))))))))))))&&&''''''''''''&&&$$$###"""###%%%'''((())))))(((((((((((((((((())))))))))))(((((((((''''''''''''((((((((((((((((((((((((((((((((((((((((((((('''((((((((((((((((((((((((''''''''''''''''''&&&&&&'''''''''''''''''''''''')))'''&&&'''((()))(((&&&((((((((((((((((((((((((&&&&&&&&&&&&'''((()))***''''''''''''((((((((()))''''''((((((((((((''''''&&&&&&&&&((()))+++---...(((''''''&&&&&&''''''((())))))***+++***)))((('''&&&&&&'''''''''(((((((((((((((((((((((((((((()))%%%%%%%%%&&&'''((()))***))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))***+++))))))***++++++,,,,,,---))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))*********************+++++++++,,,,,,))))))*********++++++++++++++++++,,,,,,,,,------,,,,,,...000333555888999;;;@@@GGGLLLQQQTTTWWWYYY---+++******+++,,,,,,+++(((((()))***+++,,,,,,---+++,,,------,,,,,,...000...222888===@@@BBBDDDFFFHHHJJJLLLNNNPPPSSSVVVYYYZZZ[[[\\\[[[YYYYYYZZZ[[[VVVTTTPPPMMMIIIEEEAAA===>>>;;;888777888999:::999555888;;;;;;;;;===@@@DDDIIIKKKPPPWWW```ppp{{{uuuoookkkhhhdddfffhhhgggfffgggkkkooonnnnnnrrryyytttoooiiieeecccaaa^^^[[[UUUXXXZZZZZZYYYZZZ\\\___llluuu|||zzzvvv}}}}}}|||ooo```YYYOOOIIIKKKRRRYYY^^^fffppp}}}zzzuuuggg```UUUJJJCCCAAACCCEEEGGGHHHIIIJJJKKKLLLMMMMMMLLLHHHCCC===;;;;;;<<<>>>EEEGGGJJJKKKLLLJJJHHHFFFEEEDDDBBB@@@===:::777555,,,,,,,,,++++++*********))))))))))))))))))))))))***<<>>???AAADDDGGGHHHIIILLLPPPTTTXXX[[[\\\]]]\\\ZZZZZZ[[[ZZZXXXVVVSSSQQQLLLGGGBBB>>><<<;;;:::888555444555555555555<<<999999<<>>:::777222///,,,,,,---,,,)))&&&)))***+++,,,,,,+++***)))&&&<<>>...)))***+++))))))))))))))))))))))))))))))))))))))))))))))))&&&'''***++++++***'''&&&%%%&&&'''((()))***+++,,,((((((((((((((((((((((((,,,***((('''&&&'''((()))******)))(((((((((((((((******))))))((((((''''''(((((())))))((('''&&&&&&******))))))((((((''''''******)))((('''&&&%%%%%%))))))))))))))))))))))))))))))(((((('''''''''&&&(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))((((((''''''&&&&&&))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((('''''''''&&&))))))))))))******************+++++++++******)))))))))(((((('''''''''&&&(((((('''''''''&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&(((((())))))))))))(((((())))))))))))))))))))))))'''''''''''''''((())))))))))))(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))++++++************+++++++++)))'''&&&((()))))))))******+++++++++,,,,,,,,,+++,,,,,,------,,,,,,,,,+++,,,---............---...111444@@@OOOLLLCCCGGGNNNOOORRRUUUXXXYYYZZZZZZ++++++***************+++))))))******++++++,,,,,,...////////////000444666999;;;>>>@@@BBBDDDHHHJJJNNNPPPRRRTTTWWWZZZ\\\]]]^^^\\\[[[[[[[[[YYYVVVSSSKKKIIIEEEAAA===;;;999888777666666666777888888888::::::;;;===>>>BBBMMMYYYqqq~~~vvvoooooosssrrrssssssqqqooopppssswww}}}}}}xxxuuuqqqmmmjjjgggccc```^^^______^^^___fffrrr|||ssscccUUULLLHHHFFFNNNPPPYYYfffqqqyyy}}}tttiii^^^SSSJJJEEECCCDDDEEEFFFHHHHHHIIIIIIMMMKKKHHHEEEDDDCCCCCCCCCFFFGGGGGGHHHGGGFFFEEEDDDEEEFFFFFFFFFDDDAAA>>><<<555222///------,,,)))''''''''')))***++++++******&&&444;;;222))))))+++)))))))))))))))))))))))))))))))))))))))))))))))))))'''((()))******)))((('''&&&&&&'''((()))***++++++((((((((((((((((((((((((+++***((('''''''''((()))******)))((((((((((((((((((((((((((('''''''''&&&(((((())))))(((''''''&&&***)))))))))(((((((((''')))))))))(((''''''&&&&&&(((((((((((((((((((((((()))(((((((((''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''''''''''')))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((''''''''''''))))))((((((''''''&&&&&&''''''((()))*********))))))(((((((((''''''''''''(((((('''''''''&&&&&&&&&%%%%%%&&&'''''''''''''''(((((())))))))))))(((((())))))))))))))))))))))))(((''''''''''''((())))))))))))(((((((((((())))))************************))))))))))))))))))))))))++++++************++++++,,,***))))))***++++++*********+++++++++,,,,,,,,,,,,,,,---------,,,++++++,,,,,,---......///000000222666999FFFUUUSSSLLLPPPSSSTTTUUUWWWYYYZZZZZZ[[[+++***************++++++((())))))***,,,------...---...000000111444777:::===???BBBDDDFFFHHHLLLOOOTTTUUUVVVWWWYYYZZZ\\\\\\\\\[[[ZZZYYYXXXUUUPPPMMMCCCAAA>>><<<999888888777555666777888999:::;;;;;;;;;===???@@@AAAJJJ___sss~~~wwwqqqkkkgggjjjooozzz~~~|||uuuppphhhfffccc___\\\^^^cccgggnnnmmmlllmmmoootttyyy|||~~~}}}~~~tttfffZZZRRRMMMIIIGGGJJJTTT___iiittt~~~}}}sssggg[[[SSSHHHGGGEEEDDDDDDFFFIIIKKKJJJJJJIIIHHHGGGGGGFFFFFFGGGGGGHHHGGGGGGEEECCCBBBDDDEEEFFFGGGFFFEEEDDDCCC;;;888333000...---***)))'''''')))***++++++++++++)))......(((''',,,---)))))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))))))))(((((((((((((((((())))))))))))((((((((((((((((((((((((+++***(((''''''((())))))***))))))(((((((((((((((''''''''''''&&&&&&&&&&&&(((((()))))))))(((''''''))))))))))))((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((%%%%%%&&&''''''((())))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((''''''''''''******)))((('''&&&%%%%%%$$$%%%&&&'''((()))))))))((((((((((((''''''''''''(((((((((''''''''''''&&&&&&''''''((((((((((((((((((((())))))))))))(((((())))))))))))))))))))))))((((((''''''(((((()))******))))))(((((())))))***++++++++++++++++++++++++))))))))))))))))))))))))++++++************++++++,,,++++++,,,---...,,,+++******+++++++++,,,,,,,,,---------------,,,+++***---,,,,,,---...000222444555<<>>@@@BBBEEEGGGIIILLLPPPSSSUUUVVVWWWXXXYYYZZZZZZ[[[XXXWWWVVVTTTRRRNNNHHHDDD@@@???===:::999888888888555777999::::::;;;<<<===<<>>999444111...---,,,***++++++,,,,,,,,,,,,,,,+++,,,+++'''(((......+++))))))))))))))))))))))))((((((((((((((((((((((((***)))(((''''''((()))***))))))))))))((((((((((((((((((((((((((((((((((((***)))(((((((((((())))))))))))(((((((((((())))))''''''''''''''''''''''''(((((()))))))))(((((('''))))))))))))((((((((((((''''''''''''(((((())))))''''''''''''''''''''''''((((((((((((((('''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''(((((()))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''++++++******))))))((((((%%%&&&&&&'''((((((((((((((((((((((((((('''''''''((((((((('''''''''''''''''''''((()))))))))))))))(((((())))))))))))(((((())))))))))))))))))))))))((((((((('''((())))))******))))))))))))))))))***************************))))))))))))))))))))))))++++++************++++++++++++,,,---//////---+++******+++++++++,,,,,,,,,............---,,,+++***,,,,,,,,,---///222666888888@@@CCCJJJXXXYYYTTTXXXZZZYYYYYYYYY[[[]]]___```******))))))***++++++,,,------,,,,,,,,,,,,,,,,,,+++---111444666:::>>>AAACCCDDDFFFHHHJJJNNNSSSVVVWWWWWWXXXYYYZZZ[[[[[[\\\WWWUUUSSSQQQNNNIIICCC??????>>><<<:::888888888999888:::<<<<<<;;;;;;===???;;;>>>CCCJJJVVVnnnzzzvvvtttsssqqqoookkkhhhggglllsss}}}}}}vvvpppmmmjjjfffaaa^^^]]]]]]\\\[[[______bbbgggpppzzzzzzsssxxx|||zzzqqqkkkaaaWWWMMMIIIIIIJJJNNNSSSYYY^^^fffmmmrrrrrrpppnnnwww{{{mmmdddWWWKKKDDDDDDGGGJJJEEEFFFHHHJJJKKKKKKJJJJJJHHHIIIIIIHHHGGGEEECCCBBB@@@@@@AAABBBDDDFFFHHHIIIDDDBBB???:::555222000///...---,,,+++***)))))))))))),,,---******+++,,,+++))))))))))))))))))))))))((((((((((((((((((((((((***)))(((''''''((()))***))))))))))))(((((((((((()))))))))))))))))))))))))))((((((((((((((())))))))))))(((((((((((())))))(((((((((((((((((((((((((((((()))))))))))))))((((((((((((((())))))))))))&&&&&&''''''((()))))))))'''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((*********)))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''((((((((((((((((((((())))))******++++++))))))))))))(((((('''&&&'''''''''((((((((((((((((((((((((((((((((((((((('''((())))))******))))))(((((())))))))))))((((((************************((((((((((((((()))************))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))++++++************++++++*********,,,......,,,*********+++++++++,,,,,,,,,---.........------,,,+++,,,,,,---...222666:::<<<>>>GGGHHHLLLWWWXXXTTTWWWYYYYYYYYYZZZ\\\___bbbddd))))))))))))***+++,,,,,,.........------,,,,,,,,,,,,///333777:::===AAADDDEEEFFFHHHJJJLLLPPPVVVZZZZZZZZZZZZ[[[[[[\\\\\\\\\WWWTTTPPPMMMIIIEEE@@@===<<<;;;999888777888888999===???@@@???======AAAEEE???AAAJJJXXXkkk||||||~~~xxxuuupppmmmmmmmmmllllllttttttwww{{{uuummmgggddd```[[[WWWWWWXXXZZZ^^^dddkkkrrrvvvwwwzzz~~~wwwiiieeekkkttt|||rrrggg[[[TTTOOOHHHEEEEEEJJJOOOVVV^^^cccfffggggggxxxyyyjjjZZZNNNFFFDDDCCCCCCEEEGGGIIIJJJJJJJJJJJJIIIIIIJJJIIIIIIGGGEEEDDD?????????@@@AAADDDGGGHHHEEEEEECCC???:::666444444///...,,,***((('''&&&&&&'''***,,,,,,)))((()))***))))))))))))))))))))))))))))))))))))))))))))))))***)))(((''''''((()))***))))))))))))(((((((((((())))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((())))))***((((((((()))))))))))))))(((((()))*********))))))(((((((((((())))))))))))&&&'''''''''(((((())))))'''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((++++++***))))))(((''''''))))))))))))))))))))))))))))))))))))))))))))))))'''''''''(((((((((((((((%%%%%%&&&'''((()))******+++++++++***)))((('''&&&'''''''''((((((((((((((('''(((((((((((()))))))))'''(((((()))))))))))))))(((((())))))))))))((((((************************))))))(((((())))))***++++++******))))))******+++(((((((((((((((((((((((())))))))))))))))))))))))++++++************++++++***))))))+++------,,,+++******+++++++++,,,,,,,,,------............---------...000333777<<<@@@BBBEEEOOOOOOOOOXXXZZZVVVYYYYYYYYY[[[]]]___bbbdddeee))))))))))))***+++,,,---------------............///222777;;;>>>AAAEEEHHHGGGIIIJJJLLLNNNSSSYYY]]]\\\\\\[[[[[[ZZZYYYXXXXXXTTTPPPKKKFFFCCC???<<<999888888888888999:::<<<===@@@BBBCCCBBB@@@BBBHHHNNNNNNQQQ^^^sss{{{uuurrrssswwwzzzqqqppppppqqqtttxxx{{{|||}}}xxxssslllfffaaa```___^^^___aaadddeeehhhkkkooouuu~~~}}}jjj\\\___dddlllttt}}}uuukkkfff___TTTKKKGGGFFFGGGJJJOOOVVV]]]cccgggvvv{{{|||nnn```TTTJJJEEEBBBCCCEEEFFFHHHIIIIIIIIIIIIIIIJJJKKKJJJIIIGGGGGG??????>>>>>>???BBBEEEGGGDDDEEEFFFDDD???:::888777000///---+++***))))))***)))))))))******)))+++,,,))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))(((((((((((())))))))))))))))))))))))))))))))))))''''''((()))))))))))))))((((((((((((((()))******'''''''''((((((((())))))(((((()))***************'''((((((((()))))))))***'''''''''(((((((((((((((((((((((((((((((((((((((''''''''''''((((((((()))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''((((((((()))&&&&&&''''''(((((())))))************))))))((('''''''''''''''((((((((()))'''((((((((())))))))))))&&&'''(((((())))))(((((((((((())))))))))))((((((************************))))))(((((())))))***++++++******))))))******+++(((((((((((((((((((((((())))))))))))))))))))))))++++++************+++++++++***)))***,,,---------******+++++++++,,,,,,,,,+++,,,---...////////////000222555:::???CCCFFFHHHIIIUUUUUURRRZZZ]]]ZZZ\\\\\\]]]___aaacccdddeeeeee))))))))))))***+++,,,---+++,,,,,,---...///000000111555:::>>>AAADDDGGGJJJIIIJJJLLLNNNPPPUUU[[[___\\\\\\ZZZXXXVVVUUUSSSRRROOOKKKEEE@@@<<<999777555777777888999;;;>>>@@@BBBBBBDDDEEEDDDCCCFFFNNNUUU```cccrrr|||yyytttooommmnnnqqqssstttuuuyyy~~~yyyqqqooojjjeeeaaa___]]]]]][[[]]]```eeemmmxxxooodddbbb___```eeennnxxx~~~xxxuuuooobbbUUUOOOFFFEEEDDDFFFMMMXXXcccjjjppptttwwwxxxyyy~~~rrrcccVVVNNNBBBBBBCCCDDDFFFGGGHHHIIIIIIJJJKKKKKKKKKJJJIIIHHHAAA???>>>>>>???AAADDDGGGCCCFFFHHHFFFAAA<<<::::::333222000///......//////---)))&&&(((+++...///000))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))))))))(((((((((((((((((()))))))))***))))))))))))))))))))))))''''''((())))))***))))))((((((((((((((()))******&&&&&&&&&'''''''''(((((((((((()))***************'''((((((((())))))******(((((((((((((((((((((((())))))))))))))))))))))))&&&'''''''''(((((())))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((($$$$$$%%%%%%&&&'''''''''))))))))))))))))))))))))))))))))))))))))))))))))&&&'''''''''(((((())))))************))))))))))))(((((()))))))))))))))(((&&&'''''''''(((((())))))'''((((((((())))))******&&&''''''((((((((((((((((((((())))))))))))((((((************************)))))))))))))))******+++++++++************++++++))))))))))))))))))))))))))))))))))))))))))))))))++++++************++++++,,,+++)))))),,,...///...******+++++++++,,,,,,,,,++++++---...//////000000333555999???DDDHHHKKKMMMJJJVVVVVVSSSZZZ^^^\\\^^^___```bbbdddeeeeeeeeeddd******+++++++++,,,,,,,,,+++,,,---...---...000222;;;===@@@BBBCCCEEEHHHKKKKKKNNNRRRSSSSSSUUUXXX[[[YYYZZZZZZZZZXXXTTTPPPMMMKKKFFF???<<<::::::888666888777777999===@@@CCCCCCHHHIIIJJJIIIKKKVVVhhhvvv~~~vvvoookkkkkkmmmttt}}}}}}uuummmeeeaaabbbaaa``````ccchhhmmmppptttjjjfffbbbaaabbbgggooovvvvvvhhh]]]YYYLLLCCCFFFJJJLLLWWWdddooonnnnnnnnnrrrzzzssscccWWWPPPMMMHHHCCCBBBCCCFFFHHHJJJJJJKKKJJJHHHGGGHHHIIIEEEBBB>>>;;;;;;===AAACCCDDDDDDEEEEEEDDDBBB???===888555000.........///...+++,,,,,,***&&&&&&(((+++,,,+++***((((((***+++,,,,,,+++)))''''''(((***+++******))))))))))))******************************************************))))))))))))))))))))))))''''''''''''((((((((()))******))))))((((((''''''...---+++)))'''&&&%%%%%%''''''''''''(((((((((((((((((((((((((((((((((((()))((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''(((((())))))***)))(((''''''&&&''''''(((((((((((((((((((((((())))))(((((('''''''''&&&(((((((((((((((((((((((())))))))))))))))))))))))******)))(((((((((((((((******))))))((((((''''''((()))***+++++++++++++++)))'''%%%&&&)))***(((&&&((()))***+++++++++++++++''''''''''''((((((((())))))))))))))))))))))))))))))***+++,,,,,,+++***)))(((((())))))******++++++))))))))))))************************************))))))))))))))))))))))))...---+++*********++++++***+++,,,,,,------,,,,,,***+++,,,---...---,,,+++,,,,,,,,,,,,---...///000555888===AAAEEEJJJOOOSSSTTTVVVYYY[[[[[[\\\^^^___^^^```cccfffggghhhgggggg***++++++++++++,,,,,,,,,,,,---......///000333666<<>>@@@DDDEEEFFFGGGFFFEEECCCAAA===:::555111000///...---+++,,,,,,***'''''')))++++++***(((''''''(((***+++,,,+++)))((((((((()))*********))))))))))))******************************************************))))))))))))))))))))))))'''''''''((((((((((((((())))))))))))((((((((((((***)))'''&&&$$$#########''''''''''''((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&''''''((('''''''''''''''''''''''''''''''''((((((((((((((((((((('''''''''(((((()))''''''''''''''''''''''''))))))((((((((('''''''''((((((((((((((((((((((((((((((((((((((((((((((((******)))(((((((((((((((***)))))))))((((((((('''))))))******+++*********)))'''&&&''')))***(((&&&'''(((((()))******))))))'''''''''((((((((()))))))))))))))))))))))))))))))))***++++++++++++***))))))))))))))))))*********))))))))))))************************************************************---,,,+++*********++++++***+++,,,,,,------,,,,,,+++,,,,,,---------,,,,,,------,,,,,,---000222444888<<>><<<999999999999888777::::::;;;>>>BBBHHHNNNRRRSSSWWW```nnn}}}zzzwwwuuuvvvxxx{{{zzz{{{zzzwwwvvvxxxzzz||||||uuunnngggccc```______```bbbeeelllwww|||pppmmmhhhfffjjjsss}}}yyyiiiZZZRRRLLLHHHJJJRRRXXXZZZ___gggrrr{{{|||mmmdddVVVJJJCCC@@@@@@@@@EEEGGGIIIKKKKKKJJJIIIHHHHHHEEEAAA===;;;:::;;;<<>>888888888888888888888777<<<<<<>>>BBBIIITTT```hhhnnnrrr}}}zzzzzzwwwssspppsssyyy}}}xxxxxxyyywwwuuuqqqnnnnnnpppssspppssswww{{{~~~{{{vvvuuuvvvxxxzzz~~~uuunnnjjjdddcccaaaaaadddlllxxx}}}tttrrrppppppzzz~~~}}}uuuiiiaaaYYYOOOJJJKKKPPPQQQVVV```pppuuufffYYYOOOHHHCCC???DDDEEEGGGIIIKKKJJJHHHFFFIIIGGGCCC???<<<999888777;;;===@@@CCCEEEEEEEEEDDDEEEBBB>>>:::777444000------,,,+++*********,,,---)))(((''''''''''''((())))))************)))((((((******))))))))))))******(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))((((((((((((''''''''''''''''''(((((())))))******(((((((((''''''(((((()))''''''''''''(((((((((((((((((((((((((((((((((((('''''''''''''''((())))))''''''''''''''''''''''''))))))((((((''''''&&&&&&'''''''''''''''((())))))&&&&&&&&&&&&&&&&&&&&&&&&))))))((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''((()))))))))))))))(((((())))))))))))(((((((((((()))))))))))))))((('''&&&)))((((((((())))))((((((&&&&&&'''((((((''''''''''''(((((((((((()))))))))))))))))))))))))))))))))*********++++++*********++++++******))))))((((((((()))))))))************************************************************,,,+++++++++++++++++++++***+++,,,,,,------,,,,,,...---,,,++++++,,,---......------///222777<<>>:::777555777:::===AAADDDEEEEEEEEEDDDBBB???===;;;888444111///---,,,++++++,,,------***))))))))))))))))))***)))************)))((((((******))))))))))))******(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((('''''''''''''''(((((())))))******)))))))))))))))******+++''''''''''''(((((((((((())))))))))))))))))))))))***)))((('''''''''''''''(((((((((((((((((((((((())))))((((((''''''&&&&&&))))))((('''''''''''''''''''''''''''''''''''''''(((((())))))))))))))))))))))))))))))))))))))))))'''''''''''''''''''''''''''((())))))))))))(((((((((((((((((()))))))))))))))))))))))))))((('''&&&((()))))))))(((((())))))(((((()))))))))(((((('''(((((((((((()))))))))***))))))))))))))))))))))))+++******************+++++++++******))))))((((((((()))))))))************************************************************++++++++++++++++++++++++***+++,,,,,,------,,,,,,...---,,,+++,,,---...///......///222777===CCCFFFLLLOOOUUUXXXYYYZZZZZZ[[[^^^```bbbccccccdddeeeffffffgggiiijjjjjjjjjhhhggg,,,,,,,,,,,,------------...000444777999===AAAEEEGGGIIILLLNNNPPPRRRUUUWWWXXXXXXWWWWWWVVVTTTPPPLLLKKKIIIEEEAAA===:::999888777888999999999999<<<>>>;;;BBBOOO___sss|||ssspppuuuttttttwww}}}{{{zzz{{{vvvtttuuuyyy{{{yyyzzz}}}~~~}}}zzzwwwttttttwwwzzzyyy{{{~~~}}}zzzwwwyyyyyywwwuuuuuuxxx}}}vvvnnnhhhdddcccddddddeeehhhiiinnnyyy}}}~~~~~~tttsssrrrrrrrrrpppjjjccc^^^WWWTTTPPPQQQ\\\ppp|||uuukkk\\\RRRGGGDDDAAACCCHHHLLLMMMMMMIIIIIIGGGDDD@@@<<<777555666999===AAADDDFFFGGGGGGCCCBBB@@@@@@???===999666222///---,,,---------,,,******++++++++++++******************))))))))))))******))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''((((((((()))(((((((((((())))))))))))((((((''''''((())))))***''''''''''''(((((((((((())))))))))))))))))))))))+++***)))(((''''''''''''((((((((((((((((((((((((((((((((((((((('''''''''******(((''''''&&&&&&&&&(((((((((((((((((((((((((((((())))))))))))******))))))))))))))))))))))))''''''''''''''''''''''''&&&''')))******)))(((((((((((((((((())))))))))))))))))*********)))((((((((()))******(((((()))***))))))*********)))((((((((((((((()))))))))******))))))))))))))))))))))))++++++***))))))***++++++************))))))))))))))))))))))))************************************++++++++++++++++++++++++******+++,,,,,,,,,++++++***+++,,,,,,------,,,,,,++++++,,,,,,---///000111///111444999???EEEKKKNNNRRRUUUYYY[[[[[[[[[\\\]]]___aaaddddddddddddfffgggeeefffggghhhhhhfffdddccc,,,,,,,,,------------...000333888<<>><<<:::999888777888:::::::::===AAAEEEGGGSSSfff{{{}}}sssqqqttt|||~~~}}}||||||}}}yyypppkkkjjjeeeaaa``````bbbjjjrrr}}}sssmmmlllkkkkkknnnrrrtttsssmmmjjjddd\\\ZZZccctttrrrhhhVVVOOOGGGCCCEEEIIIJJJJJJHHHHHHHHHGGGCCC>>>999666444666:::???BBBEEEEEEFFFDDDDDDCCCDDDCCCAAA===999444111...------...,,,+++******++++++++++++******,,,+++)))((((((((()))*********))))))))))))******************************************************))))))))))))))))))))))))%%%&&&&&&'''((()))******))))))))))))(((((((((((((((''''''''''''(((((()))''''''''''''((((((((((((''''''''''''''''''''''''))))))((((((((((((((()))(((((((((((((((((((((((('''''''''((((((((((((((()))(((((('''''''''(((((())))))))))))))))))))))))(((((()))))))))*********))))))))))))))))))))))))((((((((((((((((((((((((&&&''')))*********)))((('''((((((((()))))))))***))))))******+++*********(((***+++***(((''')))+++)))************)))((('''(((((()))))))))*********))))))))))))))))))))))))++++++***))))))***++++++)))))))))))))))*********))))))))))))************************************++++++++++++++++++++++++)))***+++,,,,,,,,,,,,+++***+++,,,,,,------,,,,,,)))***+++---///000111111222555;;;AAAHHHNNNSSSUUUWWWYYY[[[\\\\\\\\\]]]^^^aaaccceeefffffffffggghhhfffggggggfffdddaaa^^^\\\,,,,,,,,,---------......222666<<<@@@CCCEEEGGGHHHIIIKKKNNNPPPQQQSSSVVVYYYYYYWWWUUUTTTTTTPPPJJJEEE??????>>>===;;;:::999888666888:::;;;<<<@@@FFFKKK\\\kkk~~~zzzyyyzzzvvvrrruuu}}}{{{uuuuuuvvvvvvxxx|||tttuuuwwwxxxzzz~~~}}}{{{wwwnnnfffaaa]]][[[___dddgggppp}}}kkkhhhdddccciiiuuu~~~zzzlll```^^^hhhqqqzzzyyyggg\\\NNNEEECCCDDDDDDCCCGGGHHHIIIHHHEEE@@@;;;888111333777<<>>CCCGGGJJJLLLLLLMMMOOOSSSVVVXXXXXXVVVUUURRRSSSUUUTTTQQQKKKEEEAAA???;;;777555555888:::<<<<<<::::::>>>???BBBOOO]]]uuuzzzuuuqqqqqqqqqssszzz}}}}}}tttsssrrrrrrtttxxx{{{~~~~~~vvvmmmfffbbb___]]]``````fffsss~~~nnnfffaaaccchhhpppssseee]]]\\\eeelllvvvyyyqqqaaaOOOGGGGGGHHHFFFGGGFFFEEEDDDDDDCCC@@@>>>888777777888;;;@@@EEEHHHGGGGGGGGGFFFEEEDDDCCCBBB>>>:::444///++++++,,,---...---,,,+++************+++++++++************)))++++++++++++++++++++++++++++++***)))((('''&&&&&&)))************+++++++++******))))))((((((''''''))))))))))))))))))))))))(((((())))))))))))((((((&&&&&&&&&'''''''''(((((())))))))))))))))))))))))(((((('''(((((()))***+++((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((((('''&&&&&&'''((()))***((((((((((((((((((((((((%%%&&&&&&'''((())))))***))))))(((((((((((())))))''''''((((((((((((''''''++++++***)))((('''&&&&&&&&&&&&''''''(((((())))))))))))))))))))))))))))))+++++++++*********))))))))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))************************************************************************************,,,,,,,,,+++++++++******++++++,,,,,,,,,---------***+++,,,---------------...............111555999>>>CCCKKKQQQUUUXXXZZZ[[[ZZZ[[[[[[\\\^^^______```cccdddeeefffeeecccaaa```eeedddaaa]]]XXXTTTOOOMMM,,,---.........111444777;;;>>>BBBFFFJJJMMMNNNOOOOOOQQQUUUXXXYYYXXXWWWUUURRRSSSRRRPPPMMMGGGBBB???>>>;;;888666666777888999CCCAAAAAAFFFKKKTTTfffwwwxxxsssqqquuuyyy~~~{{{xxxwwwxxxyyyyyy{{{}}}yyyqqqiiiddd```\\\^^^eeemmmrrr{{{tttnnnjjjjjjkkkqqquuuiiibbb\\\^^^eeeooo}}}ppp^^^SSSMMMHHHBBBCCCCCCDDDEEEGGGFFFCCC@@@:::999888888;;;???DDDGGGGGGGGGGGGGGGFFFEEEDDDCCCAAA===888333///---------------,,,+++******++++++++++++++++++************+++++++++++++++++++++++++++++++++***))))))(((((()))************+++++++++******))))))(((((((((((())))))))))))))))))))))))(((((())))))))))))((((((&&&&&&&&&'''''''''(((((()))))))))))))))))))))))))))(((((((((((())))))***((((((((((((((((((((((((((((((((())))))))))))***(((((((((((((((((((((((((((''''''&&&'''((()))***))))))))))))))))))))))))&&&&&&'''(((((()))******))))))(((((((((((())))))''''''((((((((((((''''''******))))))((((((''''''************+++++++++,,,))))))))))))))))))))))))*********)))))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))******++++++************************+++++++++***************************************,,,,,,+++++++++*********++++++++++++,,,,,,,,,---+++,,,------.............../////////111555:::>>>FFFJJJPPPTTTVVVXXXYYYZZZZZZ[[[\\\]]]^^^___```aaaddddddddddddcccccccccbbb```^^^[[[VVVRRRMMMJJJHHH.../////////000333888<<<@@@BBBFFFJJJNNNQQQRRRSSSRRRTTTWWWYYYZZZYYYWWWVVVSSSQQQOOOLLLGGGBBB???<<<;;;:::999888888999:::;;;CCCDDDHHHPPP\\\mmmzzzsssqqqssswwwzzzzzzzzzyyyxxxyyy{{{}}}|||tttllleee___^^^```cccjjjrrr}}}zzzyyyxxxwwwtttwwwssshhhYYYVVVVVV^^^nnnsssfff\\\PPPFFFCCCCCCCCCEEEFFFEEEBBB@@@>>><<<:::999:::>>>CCCFFFHHHHHHHHHHHHHHHGGGFFFEEEDDDBBB>>>999555111///...------,,,+++++++++,,,,,,,,,+++++++++************************************++++++++++++++++++++++++)))************+++++++++***))))))))))))((((((((())))))))))))))))))))))))(((((())))))))))))((((((&&&&&&'''''''''((((((((())))))))))))))))))))))))***))))))(((((((((((()))(((((((((((((((((((((((())))))))))))************(((((((((((((((((((((((((((((('''''''''((())))))************************'''(((((())))))*********))))))(((((((((((())))))'''(((((())))))(((((('''))))))))))))((((((((((((++++++++++++,,,,,,,,,,,,)))))))))))))))))))))))))))))))))((((((((((((((())))))))))))))))))))))))************************))))))))))))))))))))))))(((((())))))***+++,,,,,,************************++++++++++++******))))))+++++++++++++++++++++++++++++++++*********************+++++++++,,,,,,,,,---------...............//////000222555:::AAAFFFQQQSSSVVVWWWWWWXXXYYY[[[[[[[[[\\\^^^___aaabbbbbbddddddcccccccccbbbcccccc[[[XXXTTTOOOJJJGGGDDDCCC///000000000222666;;;???DDDFFFJJJMMMQQQSSSTTTUUUUUUWWWYYYZZZZZZYYYWWWVVVRRRPPPLLLGGGBBB???<<<;;;777888999:::;;;<<<>>>???BBBJJJWWWgggxxx~~~wwwqqqqqqyyy~~~~~~tttkkkeeebbbdddgggnnnxxx}}}yyymmmaaa[[[VVVXXXbbbppp~~~|||qqqbbbVVVJJJGGGDDDBBBAAAAAA@@@???AAA???<<<:::;;;>>>BBBDDDHHHHHHIIIIIIHHHGGGFFFFFFFFFEEEBBB>>>999555000...------,,,,,,,,,,,,------,,,,,,+++++++++*********))))))))))))))))))))))))************++++++,,,,,,))))))*********+++++++++))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))))))))((((((''''''''''''((((((((((((((((((((((((((((((((((((******)))(((((('''(((((((((((((((((((((((((((((((((((()))))))))*********(((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))((()))))))))*********+++))))))(((((((((((())))))(((((())))))))))))(((((('''((((((((()))))))))***))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***++++++,,,---************************,,,,,,++++++***)))))))))++++++++++++++++++++++++*********************************+++++++++,,,,,,---------------.../////////111333555:::@@@HHHMMMXXXYYYZZZYYYYYYYYY[[[]]]\\\]]]^^^___aaabbbccccccdddeeeeeedddcccaaa^^^]]]VVVSSSOOOJJJFFFDDDCCCBBB...///111222444888===AAAFFFHHHKKKOOORRRTTTUUUUUUWWWXXXXXXYYYXXXVVVTTTSSSPPPMMMIIICCC???<<<;;;:::666888:::::::::===AAADDDJJJ[[[sss|||sssrrrrrruuu|||yyysssssssssvvv{{{vvvnnniiieeedddkkksssyyy~~~}}}~~~xxxoooccc```[[[WWWYYYbbboooyyyvvviiiTTTNNNEEE???===???AAABBBCCCAAA???======>>>@@@BBBGGGGGGHHHHHHHHHGGGFFFFFFFFFEEEDDDAAA===777333000......------,,,---------,,,,,,,,,++++++++++++***))))))))))))))))))))))))(((((()))******+++++++++))))))*********+++++++++))))))))))))************(((((((((((((((((((((((((((((())))))))))))(((((('''''''''((((((((())))))((((((((((((((((((((((((******)))(((((('''(((((((((((((((((((((((((((((('''''''''((((((((())))))(((((((((((((((((((((((())))))))))))))))))(((((((((((((((((((((((((((((())))))))))))************))))))(((((((((((())))))(((((())))))))))))((((((''''''(((((())))))******(((((((((((((((((((((((())))))))))))))))))))))))************************))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))((())))))***+++,,,,,,,,,************************+++++++++*********))))))++++++++++++++++++++++++******************++++++******+++++++++,,,,,,,,,---,,,,,,,,,---...///000111444777;;;@@@GGGNNNSSSZZZ[[[[[[[[[ZZZ[[[]]]_________```aaabbbccccccddddddeeefffeeebbb]]]WWWSSSOOOMMMIIIFFFDDDCCCCCCCCC---000222555777;;;@@@CCCHHHJJJLLLPPPRRRTTTTTTUUUVVVWWWWWWVVVTTTRRRPPPOOOKKKIIIEEE@@@===;;;::::::888:::;;;;;;<<>>CCCHHHNNNTTTXXX[[[\\\]]]]]]\\\]]]___aaabbbbbbbbbbbbccccccccccccaaabbbbbbaaa\\\VVVOOOKKKGGGFFFEEEDDDCCCDDDEEEEEE---111555999<<>><<<:::222111000...---,,,,,,,,,------,,,,,,,,,+++++++++++++++++++++++++++++++++******++++++++++++++++++)))************+++++++++))))))*********+++++++++(((((((((((((((((((((((((((((())))))))))))(((((('''((((((((()))))))))))))))))))))))))))))))))))))))(((((((((((())))))***(((((((((((((((((((((((('''(((((((((((()))))))))(((((((((((((((((((((((()))******+++***)))((('''(((((((((((((((((((((((((((((((((((((((((((((((())))))(((((((((((())))))))))))************))))))(((((((((((())))))))))))+++++++++*********))))))))))))))))))))))))))))))))))))))))))*********+++))))))))))))))))))))))))(((((((((((((((((((((((()))))))))))))))))))))))),,,,,,++++++++++++******************************)))))))))***++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------,,,,,,---------............------...000333666888;;;@@@FFFLLLQQQUUUYYY\\\]]]^^^``````______aaabbbddddddddddddcccccccccccc^^^]]][[[WWWRRRMMMIIIGGGCCCCCCDDDFFFHHHIIIJJJKKK...222777<<>>AAAAAABBBBBBBBBBBBBBBAAAEEEEEEEEEEEECCCAAA???>>>444333111///---,,,++++++---------,,,,,,,,,++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,)))************+++++++++))))))******++++++++++++(((((((((((((((((((((((((((((())))))))))))(((((((((((((((((())))))))))))))))))))))))))))))))))))(((((('''(((((()))***+++(((((((((((((((((((((((())))))))))))************(((((((((((((((((((((((()))***+++++++++)))((('''))))))))))))))))))))))))((((((((((((''''''''''''))))))(((((((((((())))))))))))************))))))))))))))))))((((((((((((+++*********))))))(((((())))))))))))))))))))))))'''((((((((())))))******))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))------,,,++++++******)))************************(((((()))***+++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------.........---------.........///////////////000222666999;;;@@@EEELLLRRRWWWZZZ\\\^^^___aaabbbcccaaaaaaaaabbbffffffeeeddddddcccbbbbbb[[[XXXTTTOOOKKKHHHGGGFFFCCCDDDGGGJJJMMMOOOPPPQQQ444777;;;???BBBEEEIIILLLPPPPPPQQQTTTWWWXXXWWWVVVVVVTTTPPPKKKGGGDDDBBBBBB@@@888555888999888999>>>EEEDDDGGGRRReee~~~yyyqqqrrrzzzyyy|||{{{yyypppooolllooo|||rrrZZZRRRMMMRRRXXXZZZYYYXXXSSSNNNPPP[[[gggpppzzz}}}kkk]]]RRRGGG>>>BBBCCCDDDCCCAAA@@@AAABBB@@@BBBDDDEEEDDDBBB@@@>>>BBBCCCDDDEEEEEECCCAAA@@@;;;888333000/////////...,,,,,,---......---------************************+++***)))(((((()))***+++))))))*********++++++++++++++++++++++++***))))))+++***)))(((((('''(((((((((((((((((((((((((((((((((((((((((())))))))))))((()))))))))))))))((((((***)))(((''''''((()))***)))(((&&&%%%%%%&&&'''(((***)))((('''''''''''''''(((((((((((())))))))))))((((((''''''''''''((((((''''''(((((())))))*********((('''((()))***)))((())))))))))))((((((((((((&&&&&&''''''(((((())))))))))))))))))))))))))))))&&&'''(((*********)))((()))******))))))((('''&&&))))))))))))))))))))))))******))))))))))))************))))))))))))******))))))***++++++++++++***,,,,,,,,,++++++*********)))************+++++++++*********)))******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,/////////...------,,,,,,+++,,,---,,,++++++---//////000111222444888>>>BBBPPPQQQSSSVVVYYY\\\^^^```dddaaa^^^^^^```bbbddddddffffffeeecccaaa___]]]\\\VVVQQQJJJFFFFFFFFFEEEDDDDDDFFFIIIMMMQQQTTTVVVWWW777:::>>>AAADDDGGGKKKNNNQQQQQQSSSUUUXXXYYYXXXWWWTTTQQQMMMIIIEEEBBB@@@??????;;;:::======;;;===BBBEEEMMMXXXcccwww}}}|||}}}~~~|||mmmhhhfffmmmwww}}}bbbXXXQQQSSSXXXZZZYYYZZZTTTOOONNNTTT[[[bbbnnnyyyxxxkkk___SSSHHHDDDDDDCCCCCCCCCCCCCCCBBBAAABBBDDDEEEDDDBBB@@@>>>@@@AAACCCDDDDDDCCCBBBAAA===:::555222000000///...,,,,,,------------,,,,,,++++++++++++++++++++++++,,,+++***))))))***+++,,,))))))*********+++++++++***+++++++++******)))(((***))))))(((((((((((()))((((((((((((((((((((((((''''''((((((((()))))))))(((((())))))))))))((((((***)))(((''''''((()))***)))((((((''''''((((((((())))))((('''''''''(((((((((((((((((())))))))))))((((((''''''''''''(((((((((((((((((((((((()))))))))(((''''''))))))((('''(((((((((((())))))))))))'''''''''((((((((((((((())))))))))))))))))))))))((()))******************((()))******++++++++++++))))))))))))))))))))))))******))))))))))))*********))))))))))))))))))******++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++************++++++++++++***************++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,...............---------+++,,,------,,,---///111///000222444777>>>FFFKKKRRRTTTWWWZZZ]]]___```aaaaaa^^^\\\[[[]]]___``````cccbbb```^^^[[[YYYVVVUUUPPPKKKFFFDDDEEEFFFFFFEEEHHHKKKNNNOOOQQQVVV___fff999<<>>===<<<:::999;;;===;;;:::>>>DDDHHH\\\mmmvvv}}}|||{{{yyyvvvtttsssrrrqqqqqqrrrrrrssstttuuuuuuwwwyyy|||}}}}}}|||yyyyyy|||zzz|||tttkkkcccbbbfffkkkttt|||pppfff^^^^^^```___]]]^^^XXXTTTRRRRRRRRRVVVaaakkk|||qqqdddXXXJJJFFFBBBBBBCCCEEEDDDCCCBBBCCCEEEEEEDDDBBB@@@???>>>???AAABBBCCCDDDDDDDDD@@@===888555333111///---,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,++++++++++++,,,,,,***************+++++++++)))************)))(((((()))(((((((((((())))))***((((((((((((((((((((((((''''''''''''(((((((((((((((((())))))))))))(((((())))))(((((((((((())))))((())))))******)))))))))(((((('''''''''((())))))(((((((((((())))))))))))((((((''''''''''''(((((((((((((((((((((''''''''')))'''&&&'''((()))((('''''''''(((((())))))******))))))(((((((((((((((''')))))))))))))))))))))))),,,+++******************((())))))************)))))))))))))))))))))))))))******))))))))))))******)))))))))))))))))))))))))))***++++++,,,,,,++++++)))))))))***************************+++++++++,,,***************+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------...............,,,---......---...111333000222555999>>>FFFOOOTTTVVVXXX[[[___aaacccccccccdddbbb______```aaaaaaaaa```^^^\\\YYYUUURRROOONNNJJJGGGDDDCCCEEEHHHIIIJJJMMMQQQUUUUUUWWW```qqq~~~;;;???CCCGGGJJJLLLOOOQQQRRRSSSTTTWWWYYYYYYVVVTTTMMMKKKGGGCCC???===;;;:::888:::<<<<<<;;;===FFFNNNXXXrrr}}}yyyuuupppllljjjdddcccbbbaaa___^^^\\\\\\\\\\\\]]]^^^______``````bbbdddgggiiiiiikkknnnppp{{{}}}qqqhhhdddcccfffhhhrrrzzz}}}wwwssstttsssmmmfffbbb___``````]]]XXXVVVZZZ___mmmwwwvvvlllUUUMMMCCC???AAADDDEEEDDDDDDDDDEEEEEEDDDCCCAAA@@@===>>>???@@@BBBDDDEEEFFFCCC@@@<<<888666333000------,,,,,,+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,************************))))))*********))))))((((((((('''(((((()))******((((((((((((((((((((((((&&&'''''''''(((((((((((('''(((((())))))))))))((())))))(((((((((((())))))'''((()))***+++***)))(((((('''''''''((()))******(((((((((((())))))))))))((((((''''''''''''(((((()))(((((((((''''''&&&&&&((('''&&&'''((()))(((&&&&&&''''''((()))******+++***)))))))))((((((''''''))))))))))))))))))))))))---,,,***)))((())))))*********))))))'''&&&$$$###))))))))))))))))))))))))******))))))))))))******))))))))))))))))))))))))''''''((())))))))))))(((&&&'''''''''(((((())))))*********+++++++++,,,,,,+++************+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------...//////000/////////...---...111333111555;;;BBBGGGNNNTTTXXXYYY[[[___bbbdddddddddcccfffeeecccbbbccccccbbbaaa]]]\\\XXXTTTPPPLLLJJJHHHGGGFFFEEEEEEHHHKKKMMMOOOQQQVVV[[[```hhhvvv===@@@EEEIIILLLMMMPPPRRRRRRRRRTTTVVVWWWUUURRROOOJJJHHHEEEAAA>>><<<;;;;;;<<>>???@@@CCCEEEFFFDDDBBB???<<<:::777333000...---,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***++++++++++++++++++***************************))))))************))))))(((((('''(((((()))******))))))))))))))))))))))))'''''''''(((((((((((()))''''''((()))))))))))))))(((((())))))))))))((((((%%%'''((()))***)))((((((((((((((((((((()))***+++(((((((((((())))))))))))((((((''''''''''''(((((())))))(((((('''''''''&&&)))'''&&&'''((()))((('''&&&''''''((()))******+++******))))))(((((((((''')))))))))))))))))))))))),,,+++)))(((''''''((()))******))))))(((&&&%%%$$$))))))))))))))))))))))))******))))))))))))******))))))***++++++***))))))''''''((())))))))))))(((((((((((())))))************++++++++++++,,,,,,,,,+++++++++***+++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,---...///000000000111000...---...111333555;;;DDDLLLPPPSSSUUUVVV[[[]]]```cccddddddcccbbbdddcccaaaaaaaaa```]]][[[XXXVVVSSSNNNJJJGGGDDDCCCEEEFFFFFFHHHJJJMMMPPPSSSUUUZZZcccooo???CCCHHHLLLNNNPPPQQQSSSSSSSSSTTTUUUUUURRRMMMIIIFFFEEEBBB@@@>>>===<<<<<<:::???CCCFFFOOO```pppyyy{{{vvvssshhhfffcccaaa```^^^\\\YYYXXXVVVTTTRRROOOLLLJJJIIIGGGGGGGGGFFFFFFEEEEEEEEEDDDDDDDDDEEEEEEFFFFFFFFFEEEGGGJJJKKKLLLMMMOOOQQQVVV[[[^^^___ccchhhjjjhhheeeeeefffgggjjjnnnrrrttt{{{xxxmmmccc]]]aaagggnnnyyy~~~zzzmmmaaaWWWXXX^^^kkk}}}wwwkkkYYYKKKEEECCCDDDEEECCCDDDDDDEEEEEEEEEEEEEEE??????======>>>AAACCCEEEDDDBBBAAA???>>>;;;666333000///---,,,+++,,,,,,---++++++++++++++++++++++++******++++++++++++******+++++++++***************))))))***++++++++++++***)))(((((((((((())))))***))))))))))))))))))))))))(((((((((((())))))))))))&&&'''((())))))******)))(((((())))))))))))((((((&&&&&&'''((())))))))))))))))))((((((((()))******(((((((((((())))))))))))((((((''''''''''''(((((())))))))))))((((((((((((***((('''((()))***)))(((''''''(((((())))))*********))))))))))))))))))((())))))))))))))))))))))))***)))((((((((((((((((((((()))***++++++,,,,,,,,,))))))))))))))))))))))))******))))))))))))******)))***+++,,,,,,+++***))))))***++++++,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,+++++++++++++++,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------...///000000111111000///...000444888<<>><<<===???AAACCCCCCBBBAAABBBAAA>>>:::777222000...---,,,,,,---...------------------------***+++,,,------,,,+++***+++++++++*********))))))******+++,,,,,,,,,,,,,,,***))))))(((((((((((()))))))))))))))))))))))))))))))))))))))*********+++&&&'''((()))************'''((()))******)))((('''(((((((((((()))***+++,,,******))))))((()))))))))(((((((((((())))))))))))((((((''''''''''''(((((()))))))))***************+++)))((()))***+++***)))(((((((((((()))))))))))))))))))))))))))*********))))))))))))))))))))))))(((((()))*********))))))((((((***,,,---.........))))))))))))))))))))))))******))))))))))))*********+++---......---+++******++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++,,,,,,,,,------,,,++++++++++++,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,---------....../////////000000000222666;;;@@@FFFKKKRRRXXXZZZ[[[[[[\\\___```aaabbbbbbbbbbbbbbbdddcccbbbbbbaaa^^^ZZZVVVMMMKKKHHHDDDBBB@@@@@@@@@DDDGGGLLLPPPTTTXXX^^^cccvvvDDDHHHMMMRRRSSSTTTVVVWWWVVVVVVVVVVVVTTTOOOHHHCCC???>>>===<<<;;;<<<======AAALLLYYYiii~~~yyyrrrllldddbbb^^^YYYTTTPPPMMMKKKJJJIIIGGGGGGGGGGGGEEECCCDDDDDDCCCCCCBBBCCCCCCDDDBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCCCAAACCCEEEEEEEEEFFFHHHIIIFFFIIIJJJHHHHHHJJJIIIEEEIIIIIIJJJLLLNNNPPPRRRSSSOOOSSSYYY]]]aaadddgggjjjkkkpppwww||||||vvvnnnkkkqqq}}}vvviiiccc^^^]]]fffpppxxx|||jjjYYYMMMFFFDDDBBBBBBCCCEEEFFFGGGIIIIIIDDDBBB>>><<<<<<===@@@BBBAAAAAABBBCCCCCCAAA===999333111///---,,,---...///........................,,,,,,---......---,,,,,,++++++++++++******))))))***+++,,,---------------+++***)))(((((('''(((((()))))))))))))))))))))))))))*********++++++++++++&&&'''((()))************'''((()))******)))((('''***)))(((((()))+++---...++++++***)))(((((())))))(((((((((((())))))))))))((((((''''''''''''(((((())))))******++++++,,,,,,+++***)))***+++,,,+++)))))))))))))))(((((((((((((((((())))))******++++++))))))))))))))))))))))))''')))***,,,,,,,,,+++***))))))***++++++++++++***))))))))))))))))))))))))******))))))))))))******+++,,,...//////...,,,+++))))))***++++++++++++***++++++******))))))((((((++++++,,,,,,,,,---------,,,,,,++++++,,,,,,---...,,,,,,,,,,,,,,,,,,,,,,,,---------...............---///000222555:::AAAFFFMMMPPPUUUYYY[[[]]]```bbbaaabbbbbbbbbbbbbbbcccccc___^^^]]]]]]\\\YYYTTTPPPMMMKKKHHHEEECCCBBBBBBCCCFFFKKKQQQVVV[[[aaahhhmmmHHHJJJNNNSSSUUUWWWVVVVVVXXXVVVSSSQQQNNNJJJEEEAAA===888666999<<<===@@@DDDHHHZZZrrr~~~uuupppiiiccc^^^[[[YYYWWWQQQPPPNNNKKKHHHFFFDDDCCCAAABBBCCCBBB@@@???@@@AAAAAABBBBBBAAA@@@@@@AAACCCEEEDDDBBBBBBCCCEEEEEEEEEBBBDDDEEEDDDCCCCCCDDDEEEHHHGGGEEECCCCCCCCCDDDDDDEEEFFFGGGHHHHHHHHHHHHHHHEEEEEEFFFGGGGGGGGGGGGGGGIIIJJJLLLNNNPPPQQQSSSTTTZZZ\\\```cccfffjjjnnnqqqzzz}}}|||wwwsssxxxvvvqqqmmmfff^^^]]]gggwwwzzzkkkZZZKKKCCC===@@@CCCDDDDDDEEEGGGHHHFFFDDDAAA???======>>>???CCCCCCBBBAAA@@@@@@??????888444000------------------------,,,,,,,,,++++++------------------------************************)))***,,,.........,,,+++((()))***++++++***)))((())))))(((((((((((())))))************))))))))))))************))))))))))))+++***)))(((((()))***++++++***((((((***...333666+++***)))(((((()))***+++))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))+++***)))(((((()))***++++++*********))))))(((((()))))))))))))))))))))))))))************+++++++++++++++***)))(((((())))))******))))))))))))******---,,,+++***))))))))))))))))))))))))))))))))))))+++++++++*********)))))),,,+++***(((((((((((()))***,,,......,,,***((((((++++++,,,,,,,,,,,,---------,,,,,,++++++,,,,,,------+++)))'''&&&''')))+++,,,,,,---///000///,,,***...000222555:::AAAIIIOOOUUUVVVXXXYYYYYY[[[]]]```aaaaaaaaaaaaaaaaaabbbbbb___]]]ZZZYYYXXXUUUPPPLLLEEECCCAAAAAACCCGGGIIIJJJNNNQQQVVV[[[bbbooo}}}JJJLLLPPPTTTVVVWWWWWWVVVWWWUUURRROOOLLLHHHCCC@@@===;;;<<<@@@AAABBBEEEKKK^^^ttt~~~|||}}}~~~~~~{{{|||{{{vvvuuusssnnniiiaaa^^^YYYUUURRRPPPNNNLLLHHHHHHGGGEEEDDDBBBAAAAAAAAABBBCCCBBB@@@???@@@AAAAAABBBCCCBBBAAABBBCCCEEEGGGEEEDDDDDDFFFGGGHHHHHHHHHIIIJJJJJJHHHHHHIIIJJJKKKKKKJJJIIIHHHHHHHHHHHHGGGGGGHHHHHHHHHGGGGGGFFFEEEFFFFFFFFFFFFFFFFFFEEEFFFGGGHHHIIIJJJKKKLLLMMMLLLOOORRRTTTVVVZZZ^^^aaadddgggmmmttt|||}}}vvvxxx|||zzztttpppmmmggg___[[[^^^gggpppyyyjjjZZZOOOAAAAAABBBCCCDDDEEEEEEEEEGGGEEECCCAAA??????>>>>>>BBBBBBBBBBBBBBBAAA@@@???999666111///......---------------,,,,,,,,,++++++*********************************))))))))))))))))))***,,,---...---,,,+++)))******************)))))))))(((((((((((())))))*********)))))))))((((((&&&&&&'''(((((())))))***+++***)))(((((()))***+++((((((((()))+++---///111+++***)))(((((()))***+++))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))+++***)))(((((()))***+++************)))))))))((()))))))))))))))))))))))))))************+++++++++++++++***)))))))))))))))******))))))))))))******---,,,+++***))))))))))))))))))))))))))))))))))))+++++++++*********)))))),,,+++***)))))))))*********,,,......,,,***)))(((++++++,,,,,,,,,,,,---------,,,,,,++++++,,,,,,---...---+++***)))***+++,,,,,,---...///000///...,,,000222666:::???EEEMMMRRRVVVWWWYYYYYYYYYZZZ]]]____________``````aaaaaaaaabbb___[[[WWWTTTPPPJJJEEE@@@??????@@@DDDGGGJJJKKKJJJPPPYYYdddqqqMMMPPPSSSVVVXXXXXXWWWVVVTTTRRROOOLLLIIIFFFAAA>>>999:::===AAABBBDDDLLLVVVxxxyyyyyywwwyyy{{{}}}wwwuuutttuuu{{{pppiiiaaa]]]\\\ZZZUUUPPPMMMKKKIIIHHHHHHGGGEEEDDDAAAAAAAAA@@@@@@@@@@@@@@@AAABBBCCCCCCBBBBBBCCCDDDDDDEEEFFFFFFFFFGGGIIIKKKKKKKKKKKKKKKLLLMMMOOOOOOMMMNNNOOONNNMMMLLLMMMNNNPPPPPPPPPPPPOOONNNMMMMMMLLLLLLLLLLLLKKKJJJIIIHHHJJJJJJJJJJJJIIIHHHGGGFFFFFFFFFEEEEEEEEEFFFFFFGGGDDDEEEGGGIIIJJJLLLOOORRRQQQSSSXXX^^^eeemmmssswwwxxx|||~~~rrrsssuuu|||yyynnnkkkjjjgggaaa[[[YYY\\\```sss~~~}}}lll```KKKGGGCCCBBBDDDEEEDDDBBBFFFFFFEEEDDDBBB@@@>>>===@@@AAACCCDDDDDDCCCAAA@@@<<<999555222000///...,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******))))))((((((((('''******,,,---------,,,+++++++++************++++++))))))(((((((((((())))))))))))))))))((((((((((((######$$$&&&''')))***+++******))))))))))))******&&&&&&((()))***+++++++++******))))))))))))******))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))******))))))))))))******************)))))))))))))))))))))))))))))))))))))))************++++++++++++***))))))))))))))))))******))))))))))))******,,,,,,+++***))))))))))))))))))))))))))))))))))))+++++++++***************++++++*********+++,,,---***,,,......,,,***))))))++++++,,,,,,,,,,,,---------,,,,,,++++++,,,,,,---.........---------------,,,---...///////////////222666;;;AAAFFFLLLRRRVVVWWWYYYZZZZZZYYYZZZ[[[]]]\\\]]]^^^___````````````aaa]]]XXXTTTOOOJJJEEEAAA???@@@BBBDDDGGGJJJMMMNNNLLLVVVeeevvvQQQSSSVVVXXXXXXWWWUUUTTTQQQNNNKKKHHHFFFCCC???<<<999;;;===@@@AAAIII[[[lllzzzxxx{{{}}}}}}zzzuuutttvvvwww{{{uuunnn]]]XXXQQQNNNMMMKKKHHHDDDDDDDDDDDDEEEFFFFFFDDDBBB???@@@@@@@@@@@@AAAAAAAAABBBDDDEEEFFFFFFFFFHHHIIIHHHJJJLLLLLLMMMOOORRRTTTSSSTTTUUUVVVVVVVVVXXXYYYUUUWWWWWWWWWUUUTTTUUUVVVVVVWWWWWWXXXWWWUUUTTTSSSTTTTTTTTTTTTTTTSSSRRRQQQSSSSSSRRRRRRPPPOOOMMMLLLKKKJJJIIIHHHGGGFFFGGGGGGFFFGGGHHHHHHHHHHHHKKKMMMMMMMMMOOOQQQVVV[[[```cccbbbffflllqqquuuzzzvvvssspppqqqxxxwwwfffbbbccccccaaa]]]\\\]]]^^^jjjvvv|||ppp[[[RRRGGGBBBBBBDDDDDDCCCEEEEEEFFFEEECCCAAA>>><<<>>>@@@CCCEEEEEEDDDBBB@@@???<<<888555444222///---...------------,,,,,,,,,........................++++++******))))))((((((***+++,,,,,,,,,,,,++++++---,,,+++******+++,,,---))))))(((((((((((()))))))))))))))(((((((((''''''###$$$%%%&&&''')))*********))))))))))))))))))***''''''(((((())))))))))))***))))))))))))))))))***))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))***))))))))))))))))))************)))))))))))))))))))))))))))))))))))))))))))))*********+++++++++******)))))))))))))))*********))))))))))))******,,,++++++***))))))******))))))))))))))))))))))))******************************++++++,,,---......***,,,------+++*********+++++++++,,,,,,,,,---------,,,,,,++++++,,,,,,------.../////////...------+++,,,---......///000222555:::AAAHHHMMMRRRVVVYYYYYYZZZ\\\[[[ZZZYYYZZZ[[[[[[\\\^^^___``````______ZZZWWWSSSOOOKKKGGGDDDCCCDDDEEEHHHJJJLLLNNNPPPRRRWWWdddyyyTTTUUUWWWXXXXXXVVVSSSQQQMMMJJJGGGDDDCCCAAA>>><<>>===@@@AAAEEELLLWWWlll}}}wwwssswww}}}~~~uuuhhh]]]WWWRRRMMMJJJEEECCCAAA@@@AAAAAA@@@???AAA@@@AAABBBDDDDDDBBB@@@DDDDDDEEEFFFGGGHHHHHHIIIIIIKKKNNNPPPQQQRRRUUUWWWUUUXXX[[[]]]```cccgggjjjlllooorrrrrrooonnnooorrrsssttttttsssqqqpppqqqrrroooooooooooonnnmmmllllllffffffggghhhiiijjjjjjjjjggggggfffeeecccaaa___^^^]]]\\\YYYWWWVVVVVVWWWXXXSSSSSSRRRNNNKKKHHHHHHIIIHHHGGGFFFFFFGGGHHHIIIJJJJJJLLLOOOQQQSSSVVVYYY\\\^^^dddlllssswww}}}~~~uuuqqqtttyyy~~~|||ooobbb```^^^[[[ZZZZZZ[[[[[[WWWdddsssyyylllYYYIIIAAA@@@AAABBBAAABBBCCCDDDCCCAAA???===;;;===@@@BBBDDDDDDCCCCCCBBB@@@>>>===;;;888333000............---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++************++++++************++++++))))))(((((((((((())))))************))))))))))))++++++******)))))))))((())))))************))))))+++***(((''''''(((***+++))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************))))))))))))))))))************)))))))))))))))))))))))))))************+++++++++)))))))))))))))******+++******))))))))))))******++++++***************+++))))))))))))))))))))))))***************+++++++++)))***+++,,,---......---***,,,,,,,,,******+++,,,++++++,,,,,,,,,,,,---------,,,,,,++++++,,,,,,---+++,,,---...///...------,,,...//////...111666;;;AAAFFFLLLRRRUUUWWWYYYZZZYYY[[[]]]]]][[[ZZZYYYYYY]]]^^^______]]][[[XXXWWWSSSQQQNNNIIIDDDCCCDDDEEEHHHJJJKKKLLLNNNTTT]]]eee|||VVVWWWWWWVVVTTTPPPLLLJJJEEECCC@@@???@@@@@@@@@???BBBFFFQQQaaasssyyyvvvyyy|||rrrkkkddd]]]TTTMMMJJJGGGCCC@@@>>>>>>>>>???@@@AAAAAAAAABBBAAAAAACCCEEEFFFEEEDDDHHHIIIJJJLLLNNNQQQRRRSSSUUUWWWZZZ\\\^^^```cccfffcccfffiiimmmppptttxxx|||~~~~~~~~~uuuuuuvvvvvvvvvvvvvvvuuusssssssssqqqpppnnnlllkkkiiigggeeeccccccdddfffgggaaa```^^^ZZZUUUQQQPPPPPPKKKKKKJJJJJJIIIIIIHHHHHHHHHIIIJJJIIIIIIJJJLLLOOONNNSSSYYY^^^aaaeeemmmssszzz{{{xxxxxxyyy{{{sssppplllgggdddaaa^^^]]]XXX```hhhnnnxxx{{{jjjXXXKKKEEEDDDDDDAAABBBCCCDDDDDDCCCBBBAAA:::<<<===@@@AAACCCDDDDDDBBBAAA@@@???>>>:::555222............------------........................*********+++,,,,,,------,,,++++++***************)))******************)))))))))(((((((((((())))))++++++++++++************++++++*********)))))))))((()))***++++++***)))(((((((((((()))))))))))))))((()))***++++++***)))((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((()))***++++++***)))(((((()))))))))************)))))))))))))))))))))))))))************+++++++++)))))))))))))))***++++++******))))))))))))******+++***************++++++))))))))))))))))))))))))))))))*********+++++++++)))***+++,,,------,,,,,,***+++,,,+++******+++---++++++,,,,,,,,,,,,---------,,,,,,++++++,,,,,,---,,,------......///......///111333222111444;;;AAAIIIMMMRRRVVVWWWXXXZZZ[[[YYY[[[]]]^^^\\\ZZZZZZZZZ^^^^^^^^^]]]ZZZVVVRRRPPPNNNMMMKKKGGGDDDDDDHHHKKKOOOPPPRRRTTTZZZfffvvvVVVVVVWWWUUUSSSNNNJJJHHHCCCAAA???>>>???AAA@@@@@@IIIQQQccczzz}}}zzzyyy}}}~~~|||oooddd[[[VVVOOOKKKGGGEEEEEEDDDAAA>>>>>>>>>???@@@BBBDDDEEEEEEEEEDDDDDDFFFIIIKKKKKKJJJLLLMMMOOOSSSVVVYYY[[[]]]```bbbfffhhhjjjmmmppprrrpppsssvvvzzz}}}~~~}}}}}}}}}|||zzzyyywwwvvvrrrpppnnnmmmmmmoooqqqsssoooooolllgggbbb]]]\\\\\\TTTTTTSSSQQQOOOLLLJJJIIIHHHIIIHHHFFFDDDDDDEEEGGGEEEJJJOOOQQQRRRVVV]]]ddddddkkkuuu|||{{{yyy~~~{{{vvvqqqlllgggccc]]]aaabbbbbbiiivvvxxxfffVVVLLLHHHHHHBBBBBBCCCDDDDDDEEEDDDDDD:::;;;<<<>>>@@@BBBDDDEEECCCBBBAAAAAA@@@<<<777333//////.........---------++++++++++++++++++++++++(((((()))***+++,,,,,,---,,,,,,+++***))))))******((()))***++++++***)))((())))))(((((((((((()))))),,,,,,,,,+++++++++******************))))))))))))((()))***++++++***)))((($$$&&&(((***+++)))'''&&&((()))***++++++***)))((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((()))***++++++***)))((((((((())))))*********+++)))))))))))))))))))))))))))************+++++++++))))))((())))))***++++++******))))))))))))******+++***************++++++))))))))))))))))))))))))))))))******++++++++++++)))***+++,,,---,,,+++******+++,,,+++******+++---++++++,,,,,,,,,------------,,,,,,++++++,,,,,,------.........//////000000111444666555444777>>>EEENNNRRRVVVXXXYYYYYYZZZ[[[XXX[[[]]]^^^]]][[[ZZZZZZ]]]^^^]]][[[XXXSSSNNNKKKGGGHHHGGGFFFEEEHHHNNNSSSWWWYYY[[[___hhhyyyWWWWWWUUURRRNNNJJJFFFDDDDDDCCC@@@>>>>>>AAAEEEIIISSShhh~~~{{{{{{|||}}}yyyjjj]]]VVVQQQKKKGGGCCCBBBAAA@@@@@@@@@@@@AAACCCBBBAAABBBDDDFFFFFFFFFIIIHHHHHHKKKOOORRRTTTTTTUUUWWWZZZ^^^cccgggjjjlllnnnqqquuuwwwwwwxxx{{{}}}~~~|||{{{|||zzzyyyzzz}}}|||xxxtttrrrooollliiibbb___\\\[[[[[[YYYTTTQQQOOOMMMKKKJJJJJJKKKJJJIIIFFFFFFEEEEEEHHHKKKOOORRRUUUZZZbbbiiipppyyy~~~xxxpppmmmgggeeegggfffccclllxxxxxxlll```RRRFFFEEECCCCCCFFFFFFCCCBBBEEEDDD>>>999:::@@@DDDCCC???EEEBBBAAACCCCCC???:::888444222///---......---+++------------,,,+++***)))(((,,,///---)))(((+++///++++++++++++******)))))))))++++++((())),,,---***(((((()))************)))))))))((('''''''''''''''))))))))))))))))))))))))))))))))))))************)))***+++++++++)))((('''************************000///---+++***)))((((((+++*********))))))((((((******++++++++++++******,,,***)))((()))***)))(((******)))((('''&&&%%%%%%))))))))))))))))))))))))*********)))))))))))))))******++++++++++++******))))))))))))************&&&'''(((***++++++++++++++++++***)))(((((())))))************************))))))))))))************++++++,,,,,,,,,,,,------...------,,,,,,,,,------........................---///000///...,,,------...///000333777>>>GGGMMMQQQRRRTTTVVVWWWXXXXXXYYYZZZZZZ[[[\\\\\\[[[[[[[[[___\\\YYYTTTOOOKKKHHHFFFHHHGGGFFFFFFIIIMMMRRRTTTXXX___kkkzzzVVVUUUSSSPPPMMMHHHEEECCC<<<<<<======???EEELLLQQQjjj|||zzz|||yyynnneeeZZZQQQMMMJJJFFFCCC@@@@@@???>>>>>>>>>??????DDDCCCCCCDDDFFFHHHIIIIIILLLNNNPPPTTTWWWZZZ]]]^^^aaacccfffkkkppptttxxxzzz~~~~~~}}}~~~~~~|||yyyuuussskkkhhhfffeeedddbbb___\\\YYYWWWTTTRRRQQQPPPMMMKKKKKKIIIGGGFFFEEEGGGHHHJJJMMMQQQVVV[[[```hhhpppvvv}}}~~~uuummmgggcccgggmmmyyy~~~|||qqqbbbUUUJJJEEEAAACCCDDDCCCDDDFFFEEEAAA<<<<<<@@@BBBBBBAAAHHHGGGFFFFFFEEEBBB>>>;;;666333000.........------))))))+++,,,---.........***,,,...---***))),,,...++++++++++++*********))))))...///,,,***+++***((()))))))))))))))))))))(((+++***)))((((((((((((((())))))))))))))))))))))))))))))))))))************)))*********))))))((('''************************+++******))))))*********************)))))))))(((******++++++++++++******,,,***)))))))))***)))(((++++++***))))))((((((((())))))))))))))))))))))))***)))))))))))))))))))))******++++++++++++******))))))))))))************'''((()))******++++++***++++++***)))))))))))))))************************))))))))))))************++++++,,,,,,,,,,,,------...------,,,,,,------..............................000111000...---......///111444888<<>>>>>??????@@@AAAGGGGGGGGGIIIKKKNNNPPPRRRVVVZZZ^^^aaabbbeeeiiilllppprrrvvv{{{}}}vvvtttrrrrrrqqqpppmmmkkkhhheeebbb```]]]YYYUUUQQQPPPNNNLLLIIIGGGFFFFFFFFFHHHIIIKKKMMMPPPVVV\\\aaaiiioooxxxvvvkkkhhhgggeeeqqqyyyvvvhhhWWWLLLBBBAAACCCDDDFFFIIIFFFDDDBBB@@@???@@@AAAAAADDDEEEFFFFFFEEECCCAAA???:::666222///...//////...((()))+++,,,---............---,,,+++++++++---...++++++++++++***************111555000+++))))))(((+++*********)))(((((('''++++++***)))))))))******))))))))))))))))))))))))))))))))))))***************))))))((((((((((((((())))))))))))))))))))))))))))))((((((((())))))***************))))))))))))******++++++++++++******,,,***))))))***+++)))(((++++++++++++++++++++++++))))))))))))))))))))))))))))))))))))))))))************++++++++++++******)))))))))*********++++++))))))***************)))+++***))))))))))))))))))************************)))))))))*********++++++++++++,,,,,,,,,,,,------...---------------..............................///000111000///...///000111444:::???DDDKKKQQQVVVYYYZZZ[[[\\\]]]]]]]]]]]][[[[[[[[[[[[ZZZYYYXXXXXXVVVSSSNNNIIIFFFDDDCCCCCCDDDHHHMMMNNNOOOSSSZZZaaavvvOOONNNLLLIIIEEEBBB@@@>>>???@@@BBBEEEMMM[[[kkkwwwzzzrrrrrrvvv{{{xxxiii]]]SSSMMMFFFDDDAAA@@@AAAAAA@@@>>>@@@@@@@@@AAABBBDDDEEEFFFLLLMMMNNNPPPRRRVVVZZZ]]]eeeiiimmmmmmmmmooovvv|||}}}|||||||||{{{{{{yyyxxxuuusssqqqooolllgggaaa\\\WWWVVVSSSQQQOOOMMMLLLKKKIIIIIIHHHHHHIIIMMMQQQTTTVVV\\\dddkkkrrr{{{}}}rrrrrroooggglllrrr|||wwwgggWWWHHHBBBCCCEEEFFFHHHEEEFFFEEEBBB>>><<<>>>AAA<<>>:::555111000000000///------------,,,+++***)))///,,,***)))***,,,,,,+++++++++++++++++++++++++++,,,333777111***))),,,---...---,,,+++***)))((((((+++******)))))))))******))))))))))))))))))))))))((()))))))))***************)))((('''''''''))))))((((((((((((((((((((((((,,,,,,***)))((('''''''''*********)))))))))))))))******++++++++++++******+++***)))***++++++***(((*********++++++,,,,,,,,,)))))))))))))))))))))))))))))))))))))))***************++++++++++++******))))))*********+++++++++++++++++++++******)))(((******)))))))))))))))***************************))))))*********++++++++++++++++++,,,,,,,,,------...------------......///........................///000000000......000111444888???FFFLLLQQQVVVZZZ[[[\\\\\\]]]]]]]]]]]]\\\[[[[[[ZZZYYYXXXVVVUUUTTTPPPMMMHHHDDDAAAAAABBBCCCIIIMMMPPPPPPQQQYYYhhhtttJJJIIIGGGEEEBBB@@@>>>>>>AAAAAADDDMMM]]]rrr~~~tttmmmooottt|||zzzmmm```VVVNNNIIIFFFCCCBBBAAAAAAAAAAAA@@@???@@@AAABBBDDDGGGIIILLLMMMQQQSSSVVVXXXZZZ___eeejjjtttvvvxxxxxxyyy~~~~~~|||vvvooojjjbbbaaa___\\\YYYUUUSSSQQQMMMKKKIIIHHHHHHJJJLLLMMMLLLQQQWWW]]]bbbjjjssszzz|||zzz{{{zzzvvvnnniiiiiinnn{{{uuucccPPPGGGDDDCCCCCCDDDEEEFFFFFFBBB===:::<<>>FFFJJJFFFBBBCCCDDDBBBAAA===888444333222111000000//////---,,,***((('''...,,,))))))***+++******+++++++++++++++++++++,,,---444777111+++,,,111444000///---,,,************)))))))))(((((())))))***))))))))))))))))))))))))((()))))))))***************)))(((''''''((()))***((((((((((((((((((((((((---,,,+++***)))((((((((())))))))))))))))))************++++++++++++************)))+++,,,,,,***)))(((((())))))***+++++++++))))))))))))))))))))))))(((((())))))******************++++++++++++******************++++++++++++++++++,,,++++++***)))(((***)))))))))))))))******************************************+++++++++++++++++++++,,,,,,,,,---------------------...///000........................---...//////...///111333888===DDDKKKQQQUUUYYY\\\^^^^^^^^^___^^^^^^]]]\\\YYYYYYXXXVVVTTTRRRPPPOOOIIIGGGCCCAAA@@@AAADDDFFFJJJMMMNNNPPPVVVfff}}}FFFEEECCCAAA@@@???>>>>>>>>>@@@GGGYYYtttuuulllggggggpppyyy~~~ggg```VVVMMMHHHEEECCCCCCAAAAAABBBBBBBBBBBBAAAAAAAAABBBEEEHHHLLLPPPTTTVVVZZZ]]]aaacccfffkkkssszzz~~~xxxrrrpppnnnjjjeee___ZZZXXXSSSPPPMMMLLLLLLKKKJJJIIIJJJMMMQQQTTTWWW]]]eeekkkyyyuuusssuuu}}}|||xxxtttjjjeeedddppp~~~nnn[[[PPPIIIDDDAAABBBEEEFFFFFFBBB===;;;;;;===FFFPPPUUUMMMEEEEEEFFFDDDCCC@@@<<<888666444111///,,,,,,------,,,,,,++++++,,,,,,,,,,,,+++*********++++++++++++,,,,,,,,,,,,...444666222///111444666111///---+++*********+++))))))((((((((()))******))))))))))))))))))))))))))))))))))))************)))))))))))))))******+++))))))))))))))))))))))))))))))))))))***+++,,,,,,))))))))))))******************++++++++++++*********)))***+++------+++)))((((((((()))))))))******))))))))))))))))))))))))((((((((()))******++++++******++++++++++++***************++++++++++++,,,+++,,,,,,,,,+++***)))))))))))))))))))))******+++*********************************++++++++++++,,,++++++,,,,,,,,,,,,------------------...///000000........................,,,---...//////111555888>>>CCCJJJPPPTTTXXX[[[]]]aaaaaaaaaaaa```___^^^]]]WWWVVVTTTRRROOOLLLJJJHHHDDDCCCBBBAAABBBEEEHHHJJJKKKNNNRRRYYYfff{{{CCCBBB@@@????????????@@@@@@DDDQQQmmmvvvpppkkkiiijjjppp|||rrrfffSSSNNNHHHCCCAAAAAAAAAAAA???@@@BBBCCCCCCEEEFFFHHHFFFHHHKKKPPPUUU[[[___bbbiiimmmqqqsssvvv|||}}}zzzuuuoooiiifff```]]]YYYWWWUUUSSSNNNKKKKKKMMMNNNOOOOOOTTT\\\bbbkkkuuu}}}~~~wwwqqqrrr{{{{{{xxxzzzuuummmfffjjjxxxyyyjjj^^^SSSJJJFFFGGGGGGGGGFFFCCC@@@===<<<<<>>>>>???@@@AAAGGGKKK\\\}}}tttkkkiiijjjnnnuuu~~~}}}rrrkkk```VVVKKKGGGCCC@@@???@@@@@@@@@>>>@@@BBBDDDFFFIIILLLOOOLLLNNNRRRWWW]]]dddiiikkkvvvzzz~~~}}}xxxuuummmiiieeeccc```[[[UUUPPPKKKMMMMMMLLLLLLPPPWWW]]]```gggmmmoooqqqvvvyyyzzzuuunnnpppyyy{{{yyyxxxmmmiiippp}}}uuujjj^^^RRRNNNNNNIIIHHHFFFDDDBBB@@@>>>===999IIIPPPGGG@@@CCCGGGFFFEEECCC@@@>>>;;;777222...***+++,,,,,,------------+++000555444///++++++---+++++++++,,,,,,------------444999999999999444------+++)))((('''((()))***+++*********+++,,,,,,---))))))))))))))))))))))))))))))))))))************)))***+++---------,,,+++***************************)))((('''''''''''''''(((((())))))*********+++******++++++++++++******))))))***,,,......,,,)))))))))))))))))))))))))))))))))))))))))))))))))))'''(((((()))***+++++++++******++++++++++++************+++++++++,,,,,,,,,***++++++,,,,,,,,,++++++))))))((())))))***++++++******************************+++++++++,,,,,,,,,++++++,,,,,,,,,------------------......000111111........................---///000222444888===AAAKKKNNNSSSWWWYYY[[[^^^``````______^^^]]][[[YYYXXXRRRQQQOOOLLLHHHEEEBBB@@@>>>@@@BBBEEEIIIMMMPPPRRRaaahhhuuu???<<<<<>>===>>>AAAAAABBBHHHOOO[[[lll~~~wwwsssnnnjjjjjjppptttwwwnnnbbbWWWOOOJJJFFFDDD@@@@@@???@@@BBBCCCDDDDDDGGGIIIMMMPPPSSSWWW\\\___cccfffkkkqqqxxx{{{xxxrrriiibbbaaa^^^ZZZWWWUUUVVVVVVWWWYYY\\\^^^^^^\\\]]]bbbgggjjjsss}}}ssspppssswwwuuunnnqqq{{{yyyvvv{{{|||iii[[[VVVQQQKKKGGGGGGFFFCCCAAABBB@@@@@@@@@@@@AAABBBCCCCCCFFFCCC@@@>>>===;;;888555333000...---...//////.........//////......---,,,---,,,,,,++++++,,,,,,---)))***,,,------,,,***))),,,***))))))******((('''))))))))))))))))))))))))((()))))))))***+++++++++************************+++++++++*********))))))++++++++++++************)))******)))'''&&&''')))))))))))))))))))))))))))******************************++++++******)))(((************************)))))))))))))))))))))))))))************+++++++++************+++++++++,,,***+++,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,************************))))))))))))************,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,++++++,,,,,,---------.........,,,---///000000///...---///000111444888???HHHNNNRRRTTTXXX\\\___```aaaaaa___]]]\\\[[[[[[XXXUUURRRLLLIIIEEECCCCCCCCCBBB@@@CCCEEEIIILLLMMMRRRcccuuu===>>>AAADDDDDDHHHTTTaaaxxxtttjjjffffffgggiiimmmvvvyyymmm[[[VVVOOOHHHEEECCCAAA@@@@@@@@@AAABBBDDDFFFHHHIIINNNQQQVVV[[[___dddiiimmmrrrvvv|||~~~}}}~~~wwwppppppnnnjjjeeeaaa]]][[[ZZZ[[[]]]]]][[[YYYYYY\\\```aaahhhrrr{{{{{{xxxyyyxxxpppooouuu{{{zzz{{{mmmdddYYYOOOGGGFFFGGGDDDBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAFFFDDDBBBAAA???===:::777555222///.../////////.........//////......---,,,,,,,,,+++++++++,,,------((()))************)))(((,,,***(((''')))******))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),,,+++***)))))))))***+++((()))))))))*********+++((()))***)))((('''((()))))))))))))))))))))))))))***)))((((((((()))******++++++++++++++++++***)))************************)))))))))))))))))))))))))))************+++++++++)))))))))*********++++++,,,,,,---------------,,,************************************************)))))))))*********++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------,,,,,,------------.........///000111111111000///...///111444888>>>EEEMMMSSSUUUWWWZZZ]]]```aaaaaaaaa]]][[[ZZZYYYXXXTTTPPPLLLFFFCCCAAAAAABBBDDDDDDDDDEEEKKKRRRSSSSSS\\\uuu===???DDDHHHJJJSSShhh{{{mmmeee___```ccchhhqqqyyyzzzmmm```WWWMMMJJJGGGDDDBBBBBBBBBBBBDDDEEEGGGIIIKKKNNNQQQSSSXXX\\\bbbhhhlllqqqvvvyyy~~~{{{yyyzzzxxxzzz}}}|||}}}}}}zzzuuuoooiiieeeccceeeeeeccc___[[[YYY[[[]]]]]]aaahhhnnntttzzz~~~yyywwwuuu|||~~~zzzzzzooo```TTTHHHFFFHHHGGGEEEEEECCCCCCCCCCCCBBBAAAAAA@@@FFFEEEDDDCCCBBB???===;;;666444000/////////...---.........///......---,,,...---,,,,,,+++++++++,,,++++++************+++++++++)))'''&&&(((***+++,,,)))))))))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((---+++)))(((((()))+++,,,((((((((()))))))))))))))'''(((***)))(((((((((***))))))))))))))))))))))))***)))'''&&&&&&(((***+++++++++,,,,,,,,,++++++***************************))))))))))))))))))))))))))))))*********+++++++++((())))))))))))*********,,,,,,,,,---,,,,,,++++++))))))))))))))))))))))))************************))))))*********+++++++++++++++,,,,,,,,,,,,------------............------------------............000000111111111111000//////333777===CCCJJJQQQVVVVVVXXX[[[^^^`````````___\\\ZZZYYYWWWUUUQQQKKKGGGBBBAAA??????AAADDDFFFHHHKKKSSS[[[]]]```ooo<<<@@@GGGNNNTTTccc}}}xxxlllddd```^^^bbbgggppp|||~~~pppdddYYYPPPKKKGGGGGGEEECCCBBBBBBBBBCCCFFFIIILLLOOOQQQTTTYYY]]]```fffmmmtttzzz}}}zzzzzz|||zzzzzz}}}}}}wwwtttsssssspppkkkddd___\\\\\\\\\\\\^^^```dddhhhmmmrrrvvvzzz|||~~~{{{zzz{{{xxxwww{{{xxxeeeWWWJJJFFFGGGGGGFFFGGGDDDDDDEEEEEEDDDCCCBBBAAADDDEEEFFFEEECCCAAA???>>>888555111//////...---,,,.........///......---,,,000///...,,,+++***))))))---,,,+++******+++,,,---+++)))&&&&&&(((+++,,,,,,)))))))))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((,,,+++)))(((((()))+++---******))))))(((''''''&&&%%%''')))***)))((()))***)))))))))))))))))))))))))))((('''&&&&&&(((***,,,***++++++,,,,,,,,,++++++************************))))))))))))))))))))))))))))))*********+++++++++((())))))))))))***************+++++++++******))),,,,,,,,,,,,,,,,,,,,,,,,************************************+++++++++++++++++++++,,,,,,------------......//////......------------.........////////////000000111111111111111555;;;AAAGGGMMMSSSWWWWWWYYY[[[]]]^^^^^^]]]\\\[[[YYYWWWUUURRRMMMHHHDDDAAAAAA@@@@@@BBBEEEJJJMMMTTT[[[ccciiisss===DDDPPP]]]hhhxxxsssggg___aaa```ccciiiqqq{{{tttfff\\\TTTLLLHHHGGGCCCCCCCCCAAA@@@AAACCCFFFHHHLLLQQQUUUWWW[[[aaafffkkkqqqzzz{{{ssskkkddd___]]]\\\\\\\\\[[[\\\^^^bbbeeegggnnnooosssxxxzzzsssvvv~~~~~~kkk^^^PPPJJJGGGEEEEEEFFFEEEFFFFFFGGGFFFEEEDDDCCCCCCEEEGGGGGGDDDBBB@@@@@@:::777444111000///---,,,......//////......---,,,000///...,,,+++***))))))++++++************++++++***)))'''''')))+++++++++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))+++***)))))))))***+++,,,++++++***)))((('''&&&&&&$$$&&&)))******)))******)))))))))))))))))))))))))))(((((('''((()))+++,,,)))***++++++++++++++++++************************)))))))))))))))))))))))))))************+++++++++)))))))))*********++++++))))))***************)))++++++++++++++++++++++++++++++++++++++++++++++++*********++++++++++++,,,***++++++,,,,,,------...------............------------........./////////...//////000111222333333444999@@@GGGLLLQQQUUUXXXXXXYYY[[[\\\]]]\\\ZZZYYYZZZXXXTTTQQQNNNJJJEEEBBBAAAAAABBBCCCEEEIIIOOOTTT\\\eeeoooyyyEEEPPPbbbuuu}}}uuukkkeeeaaa___eeehhhoooxxx}}}lll___SSSMMMIIIEEEDDDGGGAAABBBCCCBBBBBBEEEJJJNNNRRRWWW]]]aaaccchhhooouuu}}}|||rrrjjjdddaaa______]]][[[ZZZ\\\^^^___```bbbdddggglllrrryyyttttttxxx{{{}}}wwwjjj\\\SSSLLLFFFFFFHHHFFFGGGHHHIIIIIIGGGFFFEEEAAADDDGGGGGGEEEBBBAAAAAA>>>;;;777444222111///---......//////......---,,,------,,,+++++++++,,,,,,***************************)))((()))***+++***)))))))))))))))))))))))))))((()))))))))***+++++++++************************))))))*********+++++++++*********))))))(((((((((###&&&)))************+++))))))))))))))))))))))))(((((())))))***++++++,,,((()))******++++++******************************)))))))))))))))))))))))))))************+++++++++************+++++++++,,,((()))***+++++++++++++++((((((((((((((((((((((((++++++++++++++++++++++++*********+++++++++,,,,,,******+++,,,,,,---......---------......---------............//////////////////000111333555666777999>>>FFFLLLPPPTTTVVVXXXYYYZZZ\\\]]]\\\[[[YYYXXXYYYUUUPPPLLLIIIFFFCCC@@@???AAACCCEEEHHHNNNWWW]]]eeerrrNNN[[[rrr{{{pppccc^^^```dddgggmmmqqqzzzuuuggg```SSSHHHEEEDDDAAACCCGGGBBBCCCEEEEEEGGGKKKRRRXXX]]]ccciiimmmpppuuu|||xxxpppiiieeecccbbb```]]]\\\]]]___``````\\\]]]```dddjjjqqqwww{{{vvvrrrqqqsss{{{{{{vvvhhh\\\RRRIIIHHHLLLFFFGGGIIIJJJJJJIIIGGGFFF@@@CCCGGGHHHEEEBBBAAABBBAAA>>>999666444333111///......//////......---,,,++++++++++++,,,---...///++++++,,,,,,,,,,,,++++++***))))))***++++++)))'''))))))))))))))))))))))))(((((()))***+++,,,,,,---************************((()))***+++++++++++++++))))))))))))************"""%%%)))++++++******+++))))))))))))))))))))))))'''(((***+++,,,,,,,,,,,,'''((()))***************************************)))))))))))))))))))))))))))************+++++++++***++++++++++++,,,,,,,,,((()))***+++,,,---------++++++++++++++++++++++++++++++++++++++++++++++++******+++++++++,,,,,,,,,******+++,,,,,,---......,,,------------------,,,............/////////000///000000222444777999:::===BBBIIIPPPSSSVVVWWWYYY[[[\\\]]]]]]]]][[[YYYXXXWWWSSSMMMHHHEEECCCAAA???>>>AAADDDGGGKKKRRR\\\ccclll~~~gggvvvtttiii``````aaadddllluuuyyy}}}|||jjj]]]VVVJJJGGGCCCBBBBBBCCCDDDEEEEEEEEEIIIOOOQQQQQQWWW```iiioooyyy{{{ssslllhhhhhheeeaaa``````aaaaaa```]]]\\\\\\]]]aaafffllloooyyy}}}}}}ttthhhlllxxxzzz}}}{{{jjj[[[SSSNNNJJJIIIHHHGGGIIIKKKMMMMMMLLLLLLFFF@@@BBBHHHJJJFFF@@@AAA???;;;888666444111......---,,,,,,......---,,,------,,,++++++++++++,,,++++++++++++++++++++++++************************************************************************+++++++++*********))))))+++*********))))))(((((())))))))))))))))))))))))))))))))))))((((((((((((******)))(((((((((((((((+++*********))))))(((((())))))))))))))))))))))))+++++++++++++++***)))((())))))))))))************)))************+++++++++************************,,,+++***))))))+++---...666444111---***)))))))))*********++++++,,,,,,,,,,,,+++***))))))***+++,,,...,,,***+++---...,,,***---,,,,,,,,,,,,---......---,,,,,,,,,,,,---............///111333888>>>CCCJJJLLLOOOQQQSSSUUUYYY[[[]]][[[ZZZZZZ[[[[[[YYYXXXQQQMMMHHHCCC??????@@@AAAEEEGGGKKKOOOOOOTTT```nnn~~~}}}tttlllddd___aaaeeekkkuuuvvvfffZZZQQQLLLEEECCCAAA@@@BBBDDDFFFGGGIIIIIINNNUUUXXXZZZbbbkkksss|||~~~yyysssooonnnllliiigggffffffdddccc]]]\\\[[[\\\___ccchhhkkkrrrvvv|||{{{xxxsssjjjmmmuuusssxxxvvviii^^^TTTLLLKKKIIIGGGHHHKKKMMMOOOOOOOOOIIICCCDDDHHHJJJFFFAAABBB@@@===;;;999666222000000...------------,,,+++---,,,,,,+++++++++++++++++++++++++++++++++++++++************************************************************************+++++++++*********))))))************)))))))))((())))))))))))))))))))))))***)))))))))((((((((((((++++++***)))))))))))))))************)))))))))((())))))))))))))))))))))))***++++++++++++***)))((())))))))))))************)))************+++++++++************************++++++*********+++,,,---666444111...,,,+++++++++******+++++++++,,,,,,,,,,,,+++***))))))***+++,,,...,,,***+++---...,,,***------,,,,,,------...///------,,,,,,------.../////////000222555:::BBBGGGLLLOOORRRUUUVVVWWWYYYZZZ]]]\\\ZZZZZZYYYXXXVVVTTTMMMJJJFFFBBB@@@@@@BBBDDDFFFFFFIIINNNTTT]]]nnn|||sssjjjdddgggcccccchhhpppyyynnn^^^TTTNNNIIIFFFBBBAAAAAAAAACCCFFFIIIKKKPPPRRRWWW^^^cccgggpppyyy|||yyyxxxvvvsssqqqpppmmmiiiggg```___]]]]]]^^^aaadddfffgggkkkqqqwww|||vvvrrrqqqkkkoootttnnntttxxx}}}zzznnn^^^QQQOOOKKKHHHGGGJJJNNNQQQSSSTTTNNNHHHGGGIIIIIIGGGCCCCCCAAA???>>><<<999555111222000...---------,,,+++---,,,,,,+++++++++++++++++++++++++++++++++++++++************************************************************************+++++++++***************************))))))))))))))))))))))))))))))))))))******)))))))))(((((((((++++++******))))))******************))))))))))))))))))))))))))))))))))))******++++++******))))))))))))))))))************)))************+++++++++*********************************+++++++++,,,,,,222111///---,,,++++++,,,***++++++++++++,,,,,,,,,++++++************++++++---,,,++++++------,,,+++---------,,,------...///---------,,,------...///000000111333777>>>GGGMMMQQQSSSWWWYYYYYYYYYZZZ[[[]]]\\\ZZZYYYWWWTTTPPPMMMHHHFFFCCCAAA@@@BBBDDDFFFHHHGGGLLLWWWdddsssuuujjjeeebbbggghhhmmmuuuyyykkkYYYMMMJJJIIIFFFCCCAAABBBDDDEEEGGGJJJNNNQQQXXX\\\bbbhhhnnnuuu|||zzzxxxsssnnnjjjdddcccaaa___^^^___aaabbb^^^bbbggglllqqqwww|||~~~xxxooollliiiqqqwwwqqquuuuuuxxx~~~mmm]]]VVVPPPJJJGGGHHHMMMQQQTTTXXXSSSNNNKKKKKKJJJIIIGGGDDDCCCAAA@@@>>>;;;666333222000------.........---...------,,,,,,,,,,,,,,,++++++++++++++++++++++++*********************************************************************************************************)))))))))))))))))))))))))))))))))))))))*********)))))))))((((((******)))))))))))))))************)))))))))))))))))))))))))))))))))))))))))))))************))))))((()))))))))************))))))*********+++++++++************************))))))***++++++++++++***,,,,,,+++***))))))******++++++++++++++++++++++++++++++++++++++++++++++++,,,++++++,,,,,,------,,,---------------...//////---------------...//////000111222555:::BBBKKKRRRYYYZZZ[[[[[[ZZZZZZ[[[]]]\\\[[[XXXVVVTTTPPPKKKGGGEEECCCAAA@@@AAACCCFFFHHHJJJMMMYYYlll~~~zzzpppjjjfffddddddgggnnnwwwvvviii___UUUHHHCCCCCCEEEBBB???AAADDDGGGIIIKKKNNNSSSWWW\\\ccclllsss{{{}}}xxxrrrmmmgggeeebbb___]]]\\\\\\]]]YYY[[[```ccchhhmmmrrrvvv}}}~~~{{{kkkdddaaammmxxxvvvtttsssvvvqqqaaaZZZPPPIIIHHHKKKOOORRRXXXVVVSSSPPPNNNNNNMMMMMMHHHFFFCCCAAA???<<<888444111///------...000000000//////...---------------++++++++++++++++++++++++************************************************))))))))))))))))))))))))************************))))))))))))))))))******))))))))))))))))))))))))************))))))))))))(((((('''''''''(((((()))))))))))))))))))))******))))))))))))))))))))))))((())))))*********))))))((()))))))))************))))))*********+++++++++************************((()))***+++++++++************)))))))))*********+++++++++++++++++++++++++++++++++,,,,,,+++++++++++++++,,,,,,,,,,,,------...------------...//////...------------...//////000222444777===FFFOOOVVVbbbaaa___\\\ZZZZZZ]]]___[[[YYYVVVSSSPPPKKKFFFBBBCCCBBBAAAAAACCCFFFIIIKKKJJJTTTiiittthhhcccbbbcccdddgggjjjvvvxxxfffZZZNNNHHHBBBAAACCCEEECCCAAABBBFFFLLLOOORRRVVV\\\aaadddnnnyyy{{{uuuqqqhhhfffccc___\\\ZZZYYYXXXVVVXXX[[[]]]```ccchhhlllttt{{{yyyggg]]]ZZZgggvvvwwwsssppprrr~~~pppgggZZZPPPKKKKKKLLLNNNUUUVVVVVVUUUSSSRRRSSSUUUNNNKKKGGGCCCAAA>>>:::777333000...---...000111111///......---------------++++++++++++++++++++++++************************************************))))))))))))))))))))))))***************+++++++++))))))))))))************))))))))))))))))))))))))++++++*********)))))))))''''''&&&&&&&&&'''(((((())))))))))))************))))))))))))))))))))))))(((((())))))******))))))))))))))))))************)))************+++++++++************************)))))))))*********+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++***++++++,,,,,,,,,,,,++++++)))+++,,,,,,,,,,,,---///......------......///000......------......///000222444888<<>>:::555111000///...---///............---------++++++++++++************++++++++++++++++++++++++************************************************)))))))))))))))))))))))))))************+++++++++))))))******+++++++++,,,+++++++++************)))++++++*********+++,,,---++++++++++++++++++++++++))))))))))))((((((((((((************************+++++++++*********))))))++++++++++++++++++++++++******************************+++,,,,,,,,,,,,+++******+++++++++,,,,,,,,,***++++++++++++,,,,,,,,,......---------,,,,,,,,,...------,,,,,,------...------........./////////...///000000000222555888>>>DDDLLLQQQTTTWWW[[[```bbbhhhmmmlllddd[[[UUURRRMMMLLLIIIEEEAAAAAADDDFFFMMMMMMOOOTTT\\\gggqqqwww{{{rrrhhhaaaaaadddiiioooyyy|||lll\\\SSSIIIDDDDDDEEEDDDBBB@@@EEEJJJMMMPPPWWWbbbjjj{{{~~~}}}~~~{{{xxxuuusssqqqpppnnnlllhhhddd^^^ZZZWWWVVVTTTSSSSSSSSSUUUXXX\\\bbbhhhkkkuuuyyy}}}wwwmmm```TTTTTTSSSUUUZZZ\\\^^^cccjjjjjjgggbbb[[[SSSMMMGGGEEEAAA===888444222111///...///............---------,,,+++++++++************++++++++++++++++++++++++************************************************)))))))))))))))))))))))))))************+++++++++'''((()))***+++,,,------+++++++++************)))+++************+++,,,,,,++++++++++++++++++++++++))))))((((((((('''''''''+++++++++++++++++++++++++++++++++***************,,,,,,,,,,,,,,,,,,,,,,,,******************************+++,,,,,,,,,,,,+++***++++++++++++,,,,,,,,,++++++++++++,,,,,,,,,,,,...------------,,,,,,,,,...---------------............/////////000000000///000111111222555:::>>>DDDIIIPPPUUUVVVXXX\\\______ccciiijjjddd[[[SSSNNNHHHGGGEEEBBBAAABBBFFFIIIQQQSSSUUUYYY```lllzzzrrriiieeedddhhhnnnpppzzztttcccVVVKKKGGGBBB@@@BBBDDDDDDDDDGGGLLLRRRUUUZZZdddrrr|||~~~~~~~~~~~~}}}zzzyyyxxxxxxvvvtttrrrmmmeee___ZZZWWWUUUSSSQQQQQQRRRSSSWWW\\\aaacccjjjoooxxx{{{iiiXXXTTTRRRSSSXXX[[[]]]bbbhhhjjjgggccc]]]VVVPPPJJJGGGCCC???:::666444222000...///............---------,,,,,,+++++++++*********++++++++++++++++++++++++************************************************))))))))))))))))))))))))))))))*********+++++++++((())))))***++++++,,,,,,+++++++++*********))))))***************++++++,,,************************))))))))))))((((((((((((++++++++++++++++++++++++************************,,,,,,,,,,,,,,,,,,,,,,,,******************************+++,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++,,,,,,,,,------------------------------...------------......///....../////////000000000000000111222444999???DDDJJJOOOTTTWWWYYYZZZ\\\^^^^^^aaaeeegggeee\\\QQQIIICCCCCCBBBAAAAAACCCHHHLLLSSSWWW\\\bbbiiiwww~~~uuulllhhhhhhiiinnntttrrrhhh\\\QQQJJJDDDCCCBBBAAABBBCCCEEEEEEJJJOOOWWW^^^hhhvvv~~~yyy{{{~~~~~~|||zzzuuummmfffaaa]]]YYYWWWRRRQQQPPPQQQSSSWWW[[[]]]```fffoooxxx~~~ppp^^^TTTQQQRRRWWWZZZ[[[___ccceeedddaaa]]]XXXQQQLLLIIICCC@@@;;;888666333111//////............---------,,,,,,,,,++++++++++++***++++++++++++++++++++++++************************************************))))))))))))))))))))))))))))))*********+++++++++************************+++++++++*********))))))))))))******++++++++++++))))))))))))))))))))))))+++++++++*********))))))++++++++++++++++++++++++************************++++++++++++++++++++++++******************************+++,,,,,,,,,,,,+++++++++++++++++++++++++++++++++,,,,,,,,,------------------------------------------------...///000------.........////////////000111333777<<>><<<;;;999666333///............---------------,,,,,,,,,+++++++++++++++++++++++++++++++++++++++++++++++++++++++++************************)))))))))))))))))))))))))))************+++++++++***************++++++++++++++++++************)))'''((()))***+++******)))************************+++++++++************)))************************))))))*********+++++++++++++++++++++++++++++++++******************************+++,,,,,,,,,,,,+++,,,,,,,,,+++++++++******,,,,,,,,,------------...,,,,,,,,,---------......------------...///000111....../////////000000000000333777<<>>BBBFFFHHHHHHKKKQQQWWW```jjj||||||tttrrrpppoooqqquuuzzz}}}yyyzzz|||}}}~~~~~~~~~}}}|||~~~~~~}}}yyytttnnniiidddaaa\\\VVVRRRPPPOOOOOOSSSVVVZZZ```fffoooxxx~~~~~~|||zzz|||eee[[[SSSQQQSSSUUUZZZ___ffffffeeebbb\\\TTTMMMHHHEEECCC@@@>>>===;;;888666//////.........------------------,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++++++++************************)))))))))))))))))))))))))))************+++++++++(((((()))***+++,,,,,,---+++++++++************)))'''((()))++++++******))),,,,,,,,,,,,,,,,,,,,,,,,************))))))))))))))))))))))))))))))))))))))))))******++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,******************************+++,,,,,,,,,,,,+++,,,,,,,,,++++++*********,,,,,,,,,---------......,,,,,,,,,------.........---------......000111111000000000000111111111111111444:::@@@EEEKKKRRRVVVRRRSSSUUUXXX[[[\\\ZZZYYYSSSNNNMMMVVVaaacccWWWKKKFFFFFFFFFFFFFFFIIINNNRRRiiitttxxxiiidddfffgggjjjnnntttsssdddZZZVVVQQQNNNHHHDDDBBBAAAAAA@@@EEEFFFHHHKKKNNNSSSYYY]]]kkk{{{zzzuuusssqqqppppppqqqrrrtttvvvwwwzzzzzz{{{{{{{{{|||||||||||||||}}}}}}}}}~~~~~~~~~~~~~~~}}}~~~~~~}}}}}}~~~}}}}}}~~~|||||||||}}}{{{wwwuuuuuummmhhhaaa]]]\\\XXXRRRLLLSSSRRRUUU\\\aaaeeemmmvvvrrrvvvzzz}}}}}}pppgggZZZQQQPPPSSSYYY\\\ccchhhjjjfffaaaZZZPPPGGGIIIGGGCCC@@@<<<999777555...............---------...------,,,,,,------...---------,,,,,,,,,++++++++++++++++++++++++++++++******+++++++++,,,,,,,,,***+++,,,,,,,,,,,,+++***+++*********))))))((((((((())))))))))))*********************************)))************+++++++++++++++++++++******))))))+++*********))))))((((((*********)))))))))))))))******++++++++++++******...,,,***((((((***,,,...,,,,,,,,,++++++*********,,,,,,+++***+++,,,---............------,,,,,,,,,...------,,,,,,------......---,,,++++++,,,---...///000111222222222222222111000000000111222333333444888???EEEJJJMMMQQQSSSRRRTTTVVVWWWXXXVVVTTTSSSNNNLLLOOOPPPUUUdddcccNNNLLLKKKKKKKKKIIILLLXXXeeewwwtttkkkddddddhhhfffmmmxxxpppeee\\\UUURRRNNNKKKGGGDDDCCCCCCCCCCCCFFFHHHJJJOOOUUU^^^gggmmmwww~~~{{{uuupppnnnnnnnnnnnnoooppprrrtttuuuxxxxxxyyyzzzzzzzzzzzzyyyyyyyyyzzzzzzzzz{{{{{{{{{~~~}}}}}}}}}~~~~~~}}}}}}~~~{{{{{{}}}~~~~~~}}}~~~|||yyyyyy{{{}}}~~~zzzyyyyyytttoooiiifffddd___XXXRRRVVVTTTTTTXXXZZZ]]]dddlllzzz|||yyyvvvwww~~~wwwooocccYYYTTTTTTXXX[[[aaafffiiifffbbb]]]TTTKKKKKKHHHDDDAAA>>>;;;999888111000///......------......------,,,,,,------...+++++++++************)))++++++++++++++++++++++++******+++++++++,,,,,,,,,***+++,,,,,,,,,,,,+++*********************)))))))))))))))*********++++++************************)))************+++++++++++++++++++++*********)))+++*********))))))))))))************************++++++,,,,,,,,,,,,++++++---,,,***))))))***,,,---,,,,,,,,,+++++++++******,,,,,,+++++++++,,,---.........---------,,,,,,,,,...------,,,,,,------...---------,,,,,,---------+++,,,...000222333444444111111000111222333444555888<<>>;;;:::777444000.........///......------------............---------,,,,,,,,,++++++++++++++++++++++++******+++++++++,,,,,,,,,***+++,,,,,,,,,,,,+++************++++++,,,,,,---******+++++++++,,,,,,,,,************************))))))*********+++++++++++++++++++++++++++++++++******************************++++++,,,---......,,,,,,,,,++++++,,,,,,,,,***+++,,,,,,,,,,,,+++***+++++++++++++++++++++++++++++++++,,,,,,,,,------------------------------...------,,,,,,------...+++,,,---......---,,,+++...//////000000/////////111111111222444777:::<<>>;;;<<<999555111///.../////////......------......///.........---------,,,,,,++++++++++++++++++++++++******+++++++++,,,,,,,,,***+++,,,,,,,,,,,,+++************++++++,,,,,,---******+++++++++,,,,,,,,,************************))))))*********++++++++++++++++++++++++++++++,,,***************+++++++++******+++,,,---.........++++++************++++++)))***,,,------,,,***)))++++++++++++++++++++++++++++++,,,,,,,,,---------------------------------...------,,,,,,------...+++,,,---......---,,,+++///000000111111000//////222111222333666:::===@@@EEEHHHKKKMMMOOOQQQTTTVVVXXXYYYZZZYYYUUUOOOIIIEEEDDDAAACCCHHHYYYyyytttqqqllleeebbbmmmyyypppgggdddbbbaaabbbjjj|||mmm```ZZZVVVYYY[[[XXXTTTSSSQQQSSSTTTRRRQQQRRRWWW\\\___eeerrr}}}|||yyywwwxxxuuuooolllmmmnnnnnnnnnmmmmmmkkkjjjiiijjjkkkmmmnnnooonnnmmmlllkkkkkkkkklllllllllmmmmmmmmmnnnoooqqqrrrsssssssssooopppqqqrrrrrrrrrrrrrrrqqqssstttsssrrrqqqrrrssstttuuuwwwzzz{{{||||||||||||wwwpppjjjjjjooovvv{{{~~~~~~}}}}}}}}}~~~~~~}}}zzzwwwtttrrrjjj```\\\]]]ZZZ\\\___eeelllttt{{{xxxtttwwwvvvkkkaaaZZZZZZ___ccccccdddfffeeeaaaWWWPPPHHHDDDDDDCCC???;;;;;;999666222000///////////////............//////,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++******+++++++++,,,,,,,,,***+++,,,,,,,,,,,,+++************+++++++++++++++************+++++++++,,,************************)))************+++++++++++++++++++++,,,,,,,,,,,,*********++++++++++++++++++++++++,,,,,,---------,,,+++))))))))))))+++,,,***+++,,,------,,,+++******++++++++++++,,,,,,,,,***+++,,,---------,,,,,,,,,,,,,,,------------......------,,,,,,------...,,,------......------,,,------///000111222222222222222222444777<<>>CCCGGGIIIKKKMMMOOOPPPSSSVVVYYYZZZYYYVVVRRRNNNIIIEEECCC>>>AAAGGGJJJTTTtttwwwlllnnn{{{yyynnngggeee[[[\\\cccooo}}}ttt^^^UUURRRQQQTTTXXXXXXVVVXXX\\\[[[___bbbccccccfffnnnuuu}}}~~~}}}{{{yyytttnnnmmmppphhhhhhgggfffccc```]]][[[]]]]]]]]]]]]^^^^^^^^^_______________````````````dddeeefffhhhhhhhhhgggffffffggghhhiiijjjkkkkkkkkkhhhkkkmmmmmmjjjiiijjjlllkkklllmmmoooqqqssstttuuutttpppjjjffffffkkkrrrwwwyyyyyyxxxxxxxxxyyyzzzzzz|||}}}uuuiiifff]]]]]]]]]___ccchhhlllooouuuvvvzzz~~~ooobbb[[[___bbbaaabbbeeeeeeaaa```WWWMMMHHHGGGFFFAAA<<<888777666444222000...---//////............////////////.........---------++++++++++++++++++++++++******+++++++++,,,,,,,,,***+++,,,,,,,,,,,,+++***+++*********))))))((((((((())))))))))))*********************************)))************++++++++++++++++++,,,,,,---------*********++++++,,,,,,,,,,,,+++++++++++++++++++++...---+++******+++---...++++++++++++++++++++++++*********++++++,,,,,,,,,***+++,,,---...---,,,,,,,,,,,,,,,------............------,,,,,,------.........,,,++++++,,,........./////////...---,,,,,,222222222555999???EEEHHHJJJLLLNNNPPPRRRTTTXXX[[[ZZZXXXUUUPPPLLLGGGDDDCCC>>>CCCKKKMMMVVVuuutttfffmmmrrriii```]]]^^^aaa```kkkyyyeeeUUUKKKLLLNNNQQQTTTXXX[[[^^^```gggfffkkkrrruuuuuu{{{{{{|||yyyvvvtttrrrooolllgggdddaaa^^^\\\ZZZXXXVVVWWWWWWVVVVVVVVVVVVWWWWWWXXXXXXWWWWWWXXXZZZ[[[]]]\\\]]]]]]^^^^^^___``````^^^^^^______```aaaaaaaaadddddddddeeefffggghhhiiigggffffffgggiiillloooqqqmmmllliiifffeeegggkkkoootttvvvwwwwwwvvvvvvvvvwwwvvvyyy~~~}}}{{{zzz|||~~~wwwrrrddd```ZZZXXX[[[```fffiiikkkrrrvvvyyyuuuvvvyyyvvv|||uuulll```___^^^aaaeeejjjkkkkkkcccccc[[[NNNGGGGGGDDD???>>>===:::777333111//////.........///////////////......---,,,,,,,,,,,,------------,,,,,,+++++++++333222///---++++++,,,,,,***++++++,,,,,,++++++***(((((((((((())))))))))))))))))))))))))))))))))))***++++++,,,,,,++++++*********************************+++++++++,,,,,,,,,---------,,,,,,+++++++++************************------,,,+++*********+++((())))))******+++,,,,,,******))))))))))))************+++++++++,,,,,,,,,(((+++,,,,,,)))(((***,,,,,,,,,,,,---------......------------------,,,,,,...///111000///---......111333666999===CCCJJJOOONNNNNNOOOQQQTTTWWWYYYZZZ\\\ZZZUUUOOOJJJFFFCCCAAA@@@KKKQQQSSSbbb~~~rrrlll~~~~~~qqqfff```[[[[[[]]]^^^eeexxxlll\\\QQQIIIJJJMMMQQQUUUZZZ^^^bbbeeemmmnnnttt~~~}}}||||||yyywwwtttrrroookkkhhhccc```\\\YYYWWWUUURRRPPPOOOOOONNNNNNNNNNNNOOOOOOMMMMMMMMMMMMMMMOOOPPPQQQVVVVVVWWWWWWXXXXXXYYYYYYYYYYYYZZZZZZ[[[\\\\\\]]]\\\\\\\\\]]]^^^___```aaaeeeddddddeeefffhhhjjjkkkjjjjjjhhheeedddeeehhhkkkppprrrttttttsssssstttuuusssvvv{{{}}}~~~}}}}}}~~~|||zzzyyy{{{~~~~~~zzzpppjjjbbb\\\[[[\\\^^^___hhhmmmrrruuu}}}yyyppptttxxxrrrxxxwwwiiiccc^^^___eeekkkmmmlllgggeee^^^QQQJJJHHHEEE@@@???===;;;777444222000///////////////////////////......---,,,,,,,,,,,,---,,,,,,,,,,,,+++++++++***111000...,,,++++++,,,---***++++++,,,,,,++++++***(((((()))))))))*********************************)))******++++++******)))******************************+++++++++,,,,,,,,,,,,,,,,,,++++++*********++++++++++++++++++++++++,,,,,,+++************************++++++++++++,,,,,,,,,++++++++++++,,,,,,***++++++++++++,,,,,,,,,)))+++,,,,,,***)))***,,,,,,,,,---------.........------------...............///000000///......///222555999===AAAGGGMMMQQQQQQQQQQQQRRRTTTVVVWWWXXXVVVSSSOOOJJJFFFCCCBBBAAABBBJJJPPPWWWjjjzzzsssvvvxxxqqq~~~rrraaaYYYWWWXXX[[[___```oooqqq]]]TTTNNNIIIIIIMMMSSSYYY^^^dddjjjnnnwww{{{|||{{{}}}~~~}}}|||yyywwwuuussspppkkkfffbbb]]]ZZZUUURRRPPPNNNKKKHHHGGGGGGFFFFFFFFFFFFGGGGGGHHHGGGGGGGGGHHHIIIJJJKKKMMMMMMNNNNNNOOOOOOPPPPPPRRRRRRRRRSSSTTTTTTUUUUUUWWWWWWWWWXXXYYYZZZ[[[\\\``````aaaaaabbbbbbcccccceeefffeeecccbbbaaaccceeejjjlllnnnooooooooopppqqqnnnrrrwwwzzz{{{{{{{{{|||zzzyyyyyyzzz}}}{{{tttjjjbbb]]][[[ZZZYYYcccgggjjjooowww|||sssmmmuuuvvvmmmsss{{{vvvjjj^^^]]]eeennnooommmllljjjbbbWWWOOOKKKGGGCCC@@@???<<<999666333222111////////////////////////......---,,,,,,,,,,,,---,,,,,,,,,,,,++++++++++++......,,,+++***+++,,,---***++++++,,,,,,++++++***))))))*********+++++++++************************)))))))))******)))))))))******************************+++++++++,,,,,,,,,++++++***************))),,,,,,,,,,,,,,,,,,,,,,,,,,,+++******)))*********------,,,,,,,,,+++++++++,,,,,,++++++++++++,,,,,,++++++++++++,,,,,,,,,,,,***+++,,,,,,******+++,,,,,,------------.........------......//////000000...///000000///...///111333777===BBBGGGKKKPPPSSSTTTTTTTTTTTTTTTUUUUUUUUUPPPMMMIIIDDDBBBAAABBBCCCGGGJJJQQQ^^^uuurrrxxxvvvgggiiirrreeeWWWSSSUUUXXX]]]bbbjjj~~~zzzbbbUUUQQQNNNJJJJJJOOOWWW^^^eeellltttzzz}}}}}}}}}|||{{{wwwvvvtttrrrnnniiibbb]]]XXXTTTPPPMMMKKKHHHEEECCCCCCCCCBBBBBBBBBBBBCCCCCCEEEEEEEEEEEEFFFFFFGGGGGGFFFFFFFFFGGGHHHHHHIIIIIIKKKKKKKKKLLLMMMMMMNNNNNNQQQQQQQQQQQQRRRTTTUUUVVVYYYYYY[[[\\\]]]]]]]]]]]]```aaaaaaaaa___^^^___```dddgggiiijjjjjjkkklllnnnjjjnnnssswwwxxxyyyzzzzzzyyyyyyyyyzzz|||~~~{{{qqqhhhccc___]]][[[___aaadddiiipppxxx||||||wwwqqqqqq}}}vvvlllrrrzzzrrraaa^^^fffppprrrpppqqqnnnhhh```WWWPPPJJJFFFBBBAAA>>>;;;888555333333000000000///////////////......---,,,,,,,,,,,,------------,,,,,,,,,,,,,,,,,,++++++******+++,,,,,,***++++++,,,,,,++++++*********+++++++++,,,,,,,,,************************))))))************))))))******************************+++++++++,,,,,,,,,++++++++++++************,,,,,,,,,,,,,,,,,,,,,,,,+++******))))))*********///......---,,,,,,+++++++++******))))))******++++++++++++,,,,,,,,,------+++,,,,,,,,,++++++,,,,,,------------............---......///000111111222...///000000//////111333555999@@@FFFKKKNNNRRRTTTTTTTTTUUUUUUUUUUUUTTTTTTNNNKKKFFFBBBAAABBBDDDFFFKKKLLLTTTeee{{{}}}uuulllbbbmmmwwwddd[[[TTTSSSWWW[[[bbbhhh|||hhhXXXQQQOOOLLLJJJKKKRRR\\\eeellluuu}}}}}}||||||{{{wwwuuussspppllleee^^^YYYSSSPPPLLLIIIGGGDDDBBB???@@@??????????????????@@@>>>?????????@@@@@@@@@@@@AAAAAABBBBBBCCCDDDDDDEEEEEEEEEFFFFFFGGGHHHHHHHHHGGGGGGHHHHHHIIIJJJLLLMMMPPPQQQSSSVVVWWWYYYYYYYYYYYY[[[\\\\\\ZZZZZZZZZ[[[___aaadddffffffgggiiikkkgggkkkqqqtttvvvwwwxxxyyywwwxxxyyyzzz|||~~~yyypppkkkfffcccaaa```___```eeekkkqqquuuwwwuuuuuu{{{yyypppvvv~~~|||kkkdddiiipppsssrrrsssqqqnnnjjjaaaWWWOOOJJJDDDCCC@@@===:::777666555111111000000////////////......---,,,,,,,,,,,,------------...............************++++++,,,,,,***++++++,,,,,,++++++***++++++++++++,,,,,,,,,,,,***************************++++++++++++++++++*********************************+++++++++,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++++++++***************++++++000//////...---,,,++++++++++++************++++++++++++,,,,,,,,,------------,,,,,,,,,------,,,,,,---------.........//////......//////000111222222...///000000000000333555777;;;BBBHHHLLLPPPSSSUUUSSSTTTTTTUUUUUUUUUTTTSSSLLLIIIEEEAAA@@@AAADDDFFFJJJLLLWWWiii{{{zzzkkkmmm~~~sssjjjZZZVVVTTTWWWZZZ```kkkvvvxxxiiiWWWOOOMMMJJJIIIIIIKKKTTT```iiiqqq{{{{{{{{{zzzzzzzzzzzz{{{{{{uuusssoookkkfff```YYYTTTNNNKKKGGGEEECCCAAA>>><<<;;;;;;::::::::::::;;;;;;;;;<<<<<<=========<<<<<<===>>>>>>??????@@@AAAAAA@@@@@@AAABBBBBBCCCCCCDDDCCCCCCDDDDDDEEEGGGHHHIIIJJJJJJLLLNNNPPPRRRSSSTTTRRRSSSUUUUUUTTTTTTUUUWWWYYY[[[___aaabbbcccfffgggeeeiiinnnrrrssstttuuuvvvuuuwwwxxxyyyzzz|||yyysssnnniiigggeeeaaa```dddiiikkkooossstttzzzxxx|||}}}rrrnnnoooqqqssssssrrrsssssslll___TTTOOOFFFEEEBBB???<<<999777777222111111000000//////.........---,,,,,,,,,,,,---------------............++++++++++++++++++++++++***++++++,,,,,,++++++*********+++++++++,,,,,,,,,++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++******************************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,---------************************+++++++++***++++++,,,---//////...---,,,,,,++++++------,,,,,,,,,,,,------,,,,,,,,,,,,------------...---,,,,,,......---,,,------........./////////......//////000000111111///000000000000111444777:::???EEEJJJMMMPPPSSSUUUSSSSSSTTTUUUUUUSSSRRRQQQGGGEEEBBB@@@@@@BBBDDDFFFIIIKKKXXXmmm{{{tttooo~~~ttteee___VVVVVVYYY\\\```hhhzzz}}}dddXXXLLLHHHHHHFFFGGGJJJKKKTTTaaakkkttt~~~xxxyyyyyyxxxxxxwwwxxxyyyrrrnnniiiddd^^^XXXRRRMMMGGGDDDAAA???>>>===:::888888888777777777777888888:::;;;<<<<<<<<<<<<;;;:::999999:::;;;;;;<<<<<<===<<<<<<======>>>??????@@@AAAAAABBBBBBCCCEEEFFFGGGFFFEEEEEEFFFHHHJJJLLLMMMJJJKKKLLLMMMMMMNNNPPPSSSSSSVVVYYY\\\]]]___bbbdddbbbfffkkkoooppppppqqqrrrqqqtttvvvwwwwwwyyy|||{{{vvvrrroookkkdddaaaeeehhhhhhlllqqqttt|||tttnnnnnnrrrqqqrrrvvv{{{uuueeeXXXSSSHHHFFFCCC@@@===;;;999888222222111111000//////.........---,,,,,,,,,,,,---+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,++++++***++++++,,,,,,++++++***************++++++++++++++++++++++++++++++++++++******++++++++++++************************************+++++++++,,,,,,,,,******++++++,,,,,,,,,,,,++++++++++++++++++++++++,,,,,,++++++,,,------......---------,,,,,,++++++...------,,,,,,------...,,,,,,,,,------------...///---,,,,,,//////...,,,............///////////////////////////////////////000000000000222666888???BBBGGGKKKNNNQQQTTTVVVTTTUUUUUUUUUSSSQQQNNNMMMDDDCCCBBBBBBDDDFFFIIIJJJKKKLLLZZZsssqqqttt{{{ggg\\\ZZZXXXZZZ^^^aaaeeepppjjj[[[PPPGGGEEEEEEDDDGGGLLLJJJTTTaaalllttt~~~|||||||||zzzwwwuuuuuuuuunnnjjjddd^^^XXXRRRLLLIIIBBB@@@===;;;:::999777666888777777666666777777888777777888999999888777666666666777888888999999::::::::::::;;;<<<<<<======<<<<<<<<<===>>>???@@@AAADDDCCCBBBAAABBBDDDFFFHHHEEEFFFGGGGGGHHHJJJMMMPPPOOORRRVVVYYYZZZ\\\___aaaaaadddiiilllmmmmmmnnnooooooqqqtttuuuuuuvvvzzz}}}~~~~~~}}}yyywwwooogggcccfffhhhgggjjjooosss}}}~~~~~~yyyllllllqqqpppqqqxxxzzziii[[[VVVIIIGGGDDDAAA>>>;;;:::999222222222111000//////.........---,,,,,,,,,,,,---)))))))))******+++++++++,,,------------,,,+++***+++++++++,,,,,,+++++++++))))))*********+++++++++++++++++++++++++++++++++))))))************))))))******************************+++++++++,,,,,,,,,))))))******++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------...///------,,,,,,,,,,,,++++++,,,++++++******++++++,,,,,,,,,,,,---------......000---,,,---///000...,,,............/////////000////////////............///000000000000222666999BBBEEEIIILLLOOOQQQTTTWWWVVVVVVVVVUUURRROOOKKKIIICCCCCCDDDFFFIIILLLOOOPPPPPPOOO]]]zzz|||yyyxxxhhh^^^ZZZXXX]]]```eeelllvvvlllcccNNNHHHDDDDDDDDDCCCDDDHHHNNNVVVaaakkkttt{{{zzzyyywwwvvvvvvtttqqqooolllfff]]]WWWRRRLLLFFFAAA===<<<;;;:::999999999999666666666666666666666666777777666666555555555444777777777777777777777777999888888888777777666666999999:::::::::;;;;;;;;;<<<<<<======>>>@@@AAABBBDDDDDDEEEFFFGGGHHHHHHIIIIIIKKKOOORRRTTTVVVZZZ]]]\\\___cccfffffffffggghhhjjjlllnnnppprrruuuxxx{{{}}}}}}}}}}}}}}}}}}}}}}}}uuurrrmmmiiihhhjjjnnnqqqvvv}}}~~~xxx|||tttnnnnnnmmmoootttzzz{{{sssdddXXXNNNIIIDDD@@@??????<<<:::666333///------...............//////......---,,,+++++++++,,,,,,---------++++++++++++++++++++++++++++++++++++++++++++++++---------,,,,,,+++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,...---+++***)))******+++000---++++++------+++(((,,,,,,,,,---------......)))***+++...000///,,,)))---------....../////////,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++////////////////////////------------.........///...000111222333555999<<>>???@@@AAAAAABBBCCCDDDEEEFFFFFFFFFIIILLLNNNPPPRRRUUUXXXWWW[[[___aaabbbcccdddeeegggiiilllmmmooorrrvvvxxxxxxyyyyyyzzz{{{|||}}}~~~~~~zzztttoookkkkkklllnnnrrrxxx~~~zzzsssvvvzzzwwwmmmhhhhhhkkkrrrzzz|||uuufffZZZRRRNNNHHHDDDBBB@@@===;;;888555111///////////////...............---,,,,,,+++,,,,,,,,,,,,,,,,,,---++++++++++++++++++++++++++++++++++++++++++++++++------,,,,,,,,,+++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++***++++++,,,,,,...,,,***+++------,,,***+++++++++,,,,,,,,,------******+++---//////,,,***+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------------------,,,,,,,,,,,,,,,,,,,,,////////////////////////,,,------------.........000111222333444777<<>>@@@AAAAAAEEEKKKRRRWWWaaaooo|||zzzxxxuuusssqqqnnnjjjggg```YYYPPPHHHDDDAAA<<<999999888777666555555555555444444444444444444444444666555555555555444444444444444444444444444444444666666555555555555444444666666666777777777888888888888999999:::<<<===>>>======>>>???@@@AAABBBBBBCCCEEEHHHIIIJJJLLLOOOQQQQQQTTTXXX[[[\\\]]]___```ccceeegggiiikkknnnqqqtttssstttuuuwwwyyy{{{|||}}}||||||}}}xxxqqqmmmjjjiiinnnssszzz|||sssmmmqqqvvv}}}~~~ooodddbbbgggoooyyy~~~wwwjjj^^^WWWTTTNNNJJJFFFBBB???<<<999666333111000111111000------......------,,,+++---,,,,,,,,,,,,,,,,,,+++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,))))))***+++,,,,,,---,,,,,,+++***+++,,,------+++*********+++++++++,,,,,,,,,++++++,,,......---,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.....................///---------------.........////////////////////////------------............222333333444555:::???DDDJJJMMMQQQTTTUUUVVVXXXYYYVVVVVVTTTPPPKKKHHHFFFGGGFFFKKKSSS___ooo{{{{{{uuugggiiiuuuzzziii___\\\___gggnnnzzzuuubbbSSSJJJHHHEEEAAA@@@AAABBBCCCIIIPPPZZZ```kkkzzz~~~zzzxxxtttqqqnnnjjjeeebbb\\\TTTKKKDDD@@@>>><<<999777666555444333333333333333333333333333333333333444444444444444444444444333333333333333333333333444444444333333333333333444444444444555555555555666666666666777999:::;;;::::::;;;<<<===>>>??????@@@BBBDDDEEEFFFGGGIIIKKKKKKNNNRRRTTTVVVWWWYYY[[[^^^```ccceeegggiiimmmppppppppprrrtttvvvwwwyyyzzzyyyzzz{{{~~~xxxqqqllliiimmmppptttxxx|||zzzzzzsssllljjjooovvv~~~wwwjjjcccgggoooyyyyyymmmbbb\\\ZZZUUUOOOJJJDDD???<<<:::777444222111111000000---------------,,,,,,+++---------,,,,,,+++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++)))***+++,,,---,,,++++++*********+++,,,---------++++++++++++,,,,,,,,,,,,---,,,+++,,,---......---------------------------,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,------............////////////---------------.........////////////////////////........./////////000000222333333444666;;;BBBGGGLLLOOORRRUUUUUUVVVWWWXXXUUUUUURRRNNNIIIFFFFFFGGGFFFOOO\\\lll|||~~~ttteeelll}}}zzzmmmaaa]]]^^^cccnnnyyyuuuaaaRRRHHHCCCCCCEEEBBBAAACCCDDDFFFMMMVVVcccmmmzzzzzzwwwsssnnnjjjddd___[[[UUUNNNEEE???======;;;999666555444333222222222222333333333333333333333333333333333333444444444444111111111111111111111111222222222222222333333333222222222333333333444444333333333444555666888888888888999:::;;;<<<======???@@@BBBCCCCCCDDDFFFGGGGGGJJJMMMOOOPPPRRRTTTVVVZZZ\\\^^^```bbbeeehhhkkknnnnnnoooqqqrrrssstttuuuvvvxxxzzz|||~~~~~~wwwrrrooommmnnnpppqqqtttxxx~~~xxxyyy{{{oooiiihhhpppxxxwwwiiikkkqqqyyy~~~zzzoooeee```___[[[UUUMMMFFF@@@===:::777444222222111000...------......------,,,+++---------,,,,,,+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,---,,,+++***)))((()))***++++++,,,---...,,,,,,,,,,,,---------------,,,+++,,,...///...---------------------------,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,---------,,,,,,---------.........++++++,,,,,,---------...///////////////////////////000000000111111111111111222222444777===DDDJJJLLLPPPSSSUUUVVVUUUUUUVVVTTTSSSPPPKKKGGGFFFGGGIIIKKKXXXiiiyyyzzzmmm```mmmjjj```[[[]]]bbbjjj{{{xxxbbbSSSJJJCCCAAABBBCCCAAABBBFFFHHHLLLVVV```ppp~~~~~~yyyuuupppjjjddd^^^WWWSSSKKKEEE>>>;;;::::::999777666555444333222222222222333333333333333333333333222222333333333333333444111111111111111111111111111111222222222222333333111111111222222222333333222222222222333555666777666777777888999:::;;;;;;===???@@@AAAAAABBBDDDEEEDDDFFFIIIJJJKKKLLLNNNQQQTTTVVVYYY[[[\\\___cccfffiiijjjkkklllnnnooopppqqqsssvvvyyyzzz{{{|||~~~~~~{{{yyyqqqpppnnnmmmooottt{{{{{{|||~~~zzzxxxooolllsss|||pppppprrrwww{{{yyyqqqiiidddcccaaaZZZQQQHHHBBB???:::888555333333222000.........//////......---,,,---,,,,,,,,,,,,,,,,,,+++++++++++++++++++++++++++++++++++++++++++++++++++*********+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,---,,,,,,+++***))))))''')))++++++***+++,,,...,,,,,,---------.........---,,,,,,---//////...---++++++++++++************,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,,,,------...+++++++++,,,------......+++++++++,,,------......////////////////////////000000000000111111111111000111333555999???GGGLLLNNNQQQUUUWWWVVVUUUTTTTTTRRRPPPMMMIIIFFFFFFHHHKKKTTTcccvvvvvvkkkaaasssooo```ZZZYYY```gggtttuuueeeSSSIIIFFFCCCBBBDDDCCCCCCFFFKKKPPPVVVcccooo~~~{{{uuuqqqkkkeee^^^WWWPPPKKKDDD???:::999::::::999777777666555444333333333333444444444444444444444444111222222222333333333333111111111111111111111111111111222222222333333333111111111111222222222222111111111111333444555666444444555666777888999999:::<<<>>>??????@@@BBBDDDBBBCCCEEEEEEEEEGGGIIIKKKNNNPPPSSSUUUWWWYYY]]]```bbbccceeegggiiilllmmmnnnpppsssvvvxxxxxxxxx{{{}}}}}}}}}~~~yyyvvvrrroooooottt|||wwwzzzuuurrrppprrrvvvwwwrrrnnnggghhhfff___UUUKKKEEEBBB<<<999777555444333111/////////000000//////...---+++,,,,,,,,,,,,,,,,,,---++++++++++++++++++++++++++++++++++++++++++++++++)))*********++++++++++++++++++++++++++++++++++++************************,,,,,,++++++***+++++++++(((***++++++***)))+++---++++++,,,,,,,,,---------,,,,,,---///000000...,,,+++++++++*********)))))),,,,,,,,,,,,,,,,,,,,,,,,******+++,,,,,,---......***++++++,,,------......,,,,,,,,,---......//////////////////////////////....../////////000000000///111555888===CCCIIINNNPPPSSSWWWYYYXXXVVVUUUUUUPPPNNNKKKGGGEEEFFFJJJMMM[[[lll}}}~~~vvvoookkkvvv```]]]XXXZZZcccmmm}}}{{{eeeVVVGGGAAAAAA@@@@@@AAAEEEFFFKKKRRRXXX```ooo||||||xxxsssooohhhaaaZZZRRRKKKFFFAAA===:::999;;;<<<:::888777777666555444444444444444444444444444444444444111111111222222333333333111111111111111111111111111111222222333333333333111111111111222222222222000000111111222444555666222333333444555666777888999;;;===>>>>>>???AAACCC@@@AAABBBBBBBBBCCCEEEGGGJJJLLLOOOQQQSSSUUUYYY\\\]]]^^^```cccgggjjjlllmmmmmmppptttvvvuuuvvvxxx{{{||||||}}}~~~}}}xxxtttsssxxxvvvqqqnnnooosssuuutttqqqiiikkkiiicccXXXNNNGGGEEE===;;;888777666555222000000000000000000//////...+++++++++,,,,,,---------++++++++++++++++++++++++++++++++++++++++++++++++))))))******++++++++++++++++++++++++++++++++++++************************+++******)))***+++---...(((***,,,+++))))))***---******+++++++++,,,,,,,,,+++,,,---000111111...+++---------,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,******+++,,,,,,---......++++++,,,,,,---...//////---------...///000000111////////////////////////------------.........//////222777;;;@@@EEEKKKPPPRRRUUUYYY[[[ZZZWWWVVVUUUOOOMMMJJJFFFDDDFFFKKKNNN^^^nnn~~~~~~yyyvvvsssuuuvvveeeZZZYYY\\\```gggvvvtttgggSSSKKKEEECCCBBB@@@AAAEEEHHHNNNVVV\\\cccooo|||wwwssskkkaaaWWWPPPHHHAAA;;;===<<<999888777777999999:::999999888777666555555444444444444444444444444444444444333333333222222000000000000000000000000444333222111111222333444///000222333333222000///222222222111111111000000444444555555666777888888888999999::::::;;;<<<<<<===>>>???@@@AAABBBBBBCCCEEEGGGIIILLLPPPSSSVVVWWWTTTWWW[[[^^^```cccfffiiihhhjjjlllmmmnnnpppsssvvvwwwxxxzzz{{{}}}~~~~~~~~~|||xxxwwwyyy|||}}}uuullliiiiiillluuu}}}{{{tttjjjaaaZZZSSSKKKFFF@@@>>>;;;:::888666333000////////////...---,,,+++.........------,,,,,,,,,,,,++++++******++++++,,,,,,,,,,,,++++++*********++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++++++++++++++++++++++++++++++++***************+++,,,------,,,***(((((()))***+++......//////......---,,,---------,,,,,,+++++++++)))***+++,,,,,,+++***)))+++,,,.........,,,***)))''')))+++---///...------.........------,,,,,,,,,---------.........//////000222222111000//////000///444:::AAAFFFKKKOOORRRWWWYYY[[[\\\ZZZWWWTTTQQQPPPKKKFFFDDDCCCDDDKKKSSSiiiuuu}}}zzzttttttxxx{{{xxxggg[[[TTTZZZ]]]dddqqqwwwbbbUUULLLFFFBBBBBBAAAAAACCCGGGLLLRRR\\\eeeppp{{{vvvoooggg\\\RRRKKKEEE>>>999:::999777666666777888999<<<;;;;;;999888777666666444444444444444444444444444444444333333333333222111111111111111111111111333222111111111111222333000111222333333222111000222222222111111111000000222222222333333444444555777888888999999:::;;;;;;<<<<<<===>>>???@@@@@@AAACCCDDDGGGIIIMMMOOORRRSSSQQQTTTWWWZZZ\\\___bbbeeeeeefffiiijjjkkknnnqqqssstttuuuwwwyyyzzz{{{||||||~~~~~~zzzyyyyyyzzz~~~~~~~~~wwwooojjjggghhhpppyyyvvvlllddd___XXXNNNGGGAAA???<<<:::888666333000000000000000///...------......---------,,,,,,,,,,,,,,,++++++++++++,,,,,,---------,,,,,,,,,,,,,,,************************,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,+++++++++++++++++++++++++++++++++.........---......//////...---+++***)))***+++,,,---............---,,,,,,---------,,,,,,+++++++++++++++,,,,,,,,,,,,+++++++++,,,---......,,,+++)))***+++---/////////...---.........------,,,,,,,,,---------.........//////000111222111//////000111222666===CCCHHHMMMQQQTTTXXXZZZ[[[\\\[[[WWWTTTRRROOOKKKHHHGGGFFFGGGMMMUUUdddpppxxxtttooosssxxxfffYYYTTTTTTZZZ\\\fff{{{yyybbbPPPFFFFFFBBB@@@BBBCCCCCCGGGLLLRRRZZZgggtttxxxsssjjjbbbUUUKKKEEE@@@;;;777888777777777777999;;;<<<>>>>>>===;;;:::888777777555555555555555555555555555555444444444333333333222222222222222222222222222222111000000111222222111111111111111111111111222222222111111111111111222222222222222222222222666666777777888999999999999::::::;;;<<<===>>>>>>AAABBBCCCEEEHHHJJJLLLMMMLLLOOORRRTTTVVVYYY\\\______aaadddeeegggjjjmmmppppppqqqsssuuuwwwxxxyyyyyy{{{{{{|||~~~}}}zzzyyy}}}|||wwwooogggcccjjjsssyyyoooiiieee]]]RRRJJJCCC@@@===;;;999666333000111111111111000///.........------------,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,---------------......************************++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++...---,,,,,,,,,,,,,,,---///...,,,++++++,,,---------------------,,,++++++------,,,,,,,,,,,,++++++------,,,,,,,,,,,,------,,,,,,---......---+++***---...///000000///...---.........---------------------.........////////////000111000//////111222555:::@@@FFFJJJOOOSSSVVVZZZ[[[\\\\\\[[[XXXTTTRRRKKKGGGEEEEEEEEEGGGMMMTTTaaallltttqqqoooyyyxxxggg]]]WWWWWWZZZ]]]```mmm{{{fffVVVJJJDDDCCC@@@AAADDDFFFGGGLLLRRRYYYfffwww}}}uuuoooeee\\\OOOEEE@@@===:::777999999999:::;;;===???@@@??????===<<<:::999777777777777666666666666555555555555555555444444444444111111111111111111111111111111111111111111111111222222111000000111222222111111111111111111111111444444333333333333333333444555555666666777888888888888999:::;;;<<<======??????AAABBBDDDFFFGGGGGGHHHJJJMMMOOOQQQSSSVVVYYYZZZ\\\^^^aaaccceeeiiilllkkkllloooqqqsssuuuvvvvvvwwwxxxzzz|||~~~}}}|||~~~yyykkkbbbfffnnn|||yyytttnnnhhh___UUUNNNFFFCCC???<<<:::777444111111111111111000///......------------------------,,,,,,,,,++++++,,,,,,,,,++++++,,,,,,------......************************************************,,,+++++++++++++++++++++++++++++++++++++++++++++---,,,,,,+++++++++++++++...---,,,,,,+++,,,------,,,,,,------,,,,,,+++***,,,,,,,,,,,,,,,,,,,,,,,,...---,,,++++++,,,---...,,,------......---,,,,,,...////////////...---,,,...............---------............///////////////000000000///000222555999===CCCHHHLLLPPPTTTVVV[[[[[[\\\\\\ZZZWWWTTTSSSJJJFFFCCCDDDEEEHHHPPPYYYaaajjjqqqrrryyy~~~fff[[[YYYYYYZZZ]]]cccjjj{{{hhhWWWMMMGGGCCCAAA???AAADDDGGGIIIPPPXXXaaasssyyyqqqjjj___VVVJJJAAA===<<<:::999999::::::;;;===>>>@@@@@@>>>>>>===<<<:::999888777888888888777777666666666666666666555555555444444111111111111111111111111111111111222222111111111222222111000000111222222111111111111111111111111333333333333333333222222333444444555555666666777777777888999:::;;;<<<<<<===>>>???@@@AAABBBCCCDDDDDDGGGIIIKKKLLLNNNQQQSSSUUUWWWYYY\\\^^^```dddgggfffhhhjjjmmmoooqqqsssssstttuuuxxxzzz|||~~~}}}~~~rrreeedddiiisssuuuvvvrrriii___XXXTTTKKKGGGBBB>>>;;;888555222000000000000///...---------------------------------,,,,,,,,,,,,,,,,,,---******++++++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,************************++++++++++++++++++++++++++++++++++++++++++++++++//////...............///,,,,,,+++++++++,,,,,,,,,,,,,,,------,,,,,,+++***,,,,,,,,,,,,,,,,,,,,,,,,---,,,+++******+++,,,---,,,---------------------//////......------,,,+++................................./////////000000///000000000000222555888<<<@@@EEEJJJNNNQQQTTTWWW[[[\\\\\\[[[YYYWWWTTTRRRMMMHHHFFFGGGIIINNNXXXaaaccchhhoooxxxooo[[[UUUWWWXXXYYY]]]hhhssslllWWWKKKEEEAAA>>>???>>>@@@DDDGGGKKKUUU___mmm}}}vvvllleeeXXXPPPFFF???======<<<;;;999::::::;;;<<<=========>>>======<<<;;;:::999999:::999999888888777777666777666666666666555555555222222222222222222222222111222333333333333222111111111111111111111111111111111111111111222222222111111111111111111111111333333444444555666666666666666777888999::::::;;;;;;;;;<<<===???@@@AAAAAAAAACCCFFFGGGHHHJJJLLLNNNOOORRRTTTVVVXXXZZZ^^^aaa```bbbeeehhhkkkmmmooooooppprrrvvvxxxyyyzzz}}}~~~~~~~~~}}}nnnhhhiiinnnrrrvvvuuunnneee^^^ZZZOOOKKKFFFAAA===:::777444000000000000///...------,,,,,,,,,------------...------,,,,,,,,,,,,------******+++++++++++++++,,,------------------------++++++++++++++++++++++++*********+++++++++++++++++++++++++++++++++++++++,,,,,,++++++,,,------...++++++++++++,,,,,,,,,,,,---------------,,,++++++++++++,,,,,,,,,,,,------,,,,,,++++++++++++,,,,,,---------------.........///......------,,,,,,,,,.............../////////....../////////000000000000000111111111444888;;;???CCCHHHLLLOOORRRUUUWWW[[[[[[[[[ZZZXXXUUUSSSQQQJJJGGGHHHKKKOOOSSS[[[dddfffjjjrrrooo```UUUVVVXXXWWW[[[dddrrrppp[[[KKKDDDAAA>>><<<@@@???BBBGGGKKKRRR___lllzzzssshhhaaaRRRKKKBBB===<<<======<<<<<<<<<<<<======<<<<<<;;;>>>>>>=========<<<<<<<<<;;;::::::999888888777777777777777666666666555555444444444444444444444444222333444444444444333222000111222333333222111000000000111111111222222222000000111111222222333333333333444444555666666666333444444555666777888888888888999;;;<<<===>>>???>>>@@@BBBDDDDDDEEEHHHJJJKKKLLLOOOPPPQQQSSSWWWYYY[[[\\\___bbbfffhhhjjjkkklllooossstttuuuvvvxxx{{{|||{{{{{{{{{|||~~~~~~~~~}}}sssqqqooopppssswwwwwwqqqfff]]]SSSOOOIIICCC???<<<999666111111111111000///......,,,,,,,,,---------......------,,,,,,,,,,,,------,,,,,,,,,,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)))*********++++++++++++++++++++++++++++++++++++'''''''''((()))***+++,,,++++++,,,------------------............---,,,,,,+++++++++,,,,,,---------,,,,,,------------,,,,,,---------------...////////////..................---........./////////000.../////////000000000000111111222222333666:::>>>CCCGGGLLLOOORRRTTTWWWYYY[[[[[[ZZZXXXVVVTTTRRRPPPIIIJJJOOOVVVZZZ\\\aaagggkkkqqq{{{qqq]]]VVVTTTYYYZZZXXX```mmmqqqcccQQQEEEAAABBB@@@>>>BBBBBBEEEKKKQQQYYYiiiwww~~~yyyqqqfff___MMMGGG@@@<<<<<<======<<<@@@@@@@@@@@@???>>>===<<<>>>>>>>>>>>>>>>>>>>>>>>>;;;;;;::::::999888777777777777777777666666666666666666666666666666666666333333555555555555333333///000222333333222000///000000111111222222222222222222333444555555666666333333444555555666666777111222222333444555666777555666777999:::<<<======<<<>>>@@@AAAAAACCCEEEGGGGGGIIIKKKLLLMMMOOORRRUUUWWWXXX[[[___bbbeeeggggggiiimmmqqqrrrrrrrrruuuxxxyyyyyyyyyyyyzzz|||~~~~~~}}}{{{rrrooopppxxx|||mmm___VVVQQQJJJEEE@@@===:::888222222333222222111000///,,,,,,,,,------............------,,,,,,------............------,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,))))))******++++++++++++++++++++++++++++++++++++((())))))***+++---...///,,,,,,---.../////////.........//////......---,,,+++++++++,,,,,,---------,,,---...//////...---,,,---------------...///000000000////////////000000---.........//////000000////////////000000000000111222222333444777<<<@@@FFFIIINNNRRRTTTVVVYYY[[[[[[ZZZYYYXXXUUUSSSQQQPPPNNNRRR\\\fffkkkjjjkkkoooqqqyyyooo\\\QQQRRRPPPTTTZZZYYYccc{{{vvv\\\TTTJJJCCCAAABBBBBBCCCCCCEEEKKKQQQUUU]]]rrr~~~{{{wwwoooaaaWWWGGGDDD???===<<<=========@@@??????>>>>>>??????@@@=========>>>===<<<;;;;;;======<<<;;;:::999999888<<<:::888666666777888999<<<;;;999777666555555555555555555555555555555555333333333222222111111111111111111222222333333333333333333111000111444777<<<;;;999777555333222111333333333444444555555555666777888999:::;;;<<<===<<<===>>>???@@@AAABBBBBBBBBDDDFFFGGGGGGHHHJJJLLLPPPSSSVVVYYY\\\___bbbeeefffiiilllnnnnnnoooqqqsssuuuttttttuuuvvvxxx{{{||||||}}}~~~sssnnnoooyyyuuunnnaaaZZZPPPFFF@@@===;;;:::333222111000////////////------......------,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,+++***************************************+++,,,,,,---++++++,,,,,,,,,,,,------+++++++++,,,,,,,,,---------------------------------------............///.........------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,////////////////////////...///000000//////000111222222333444666999???CCCKKKOOORRRRRRTTTXXXYYYVVV\\\UUURRRUUUUUUQQQPPPSSS\\\eeeooottttttqqqoooooouuusss^^^OOOMMMOOONNNSSS[[[^^^mmm{{{fffRRRLLLCCC???>>>@@@AAAAAADDDGGGMMMVVV^^^kkk{{{xxxtttjjj]]]RRRAAA>>><<<<<<>>>@@@BBBBBB@@@@@@????????????@@@@@@==============================<<<;;;;;;:::999999:::999888777777777888888;;;:::999888777666666666444444444444444444444444333333333333222222222111111222222222333333333333222333333222111333666999@@@@@@>>>===;;;999888777333333333333444444444555333333444555666777888888:::;;;;;;<<<>>>??????@@@AAACCCDDDEEEEEEFFFHHHJJJLLLOOORRRUUUWWWZZZ^^^```bbbeeehhhjjjlllmmmoooqqqrrrrrrssstttuuuwwwyyyzzzzzz|||}}}~~~~~~|||}}}wwwnnnllluuu|||wwwhhhaaaUUUJJJBBB===<<<;;;444333222111000/////////---............---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++***************************+++************++++++,,,++++++,,,,,,,,,,,,------,,,,,,,,,,,,------------------------------------------------.....................------,,,,,,,,,------------------------////////////////////////...///000000//////000222111222444555777;;;@@@DDDLLLPPPSSSSSSUUUYYYZZZWWWXXXTTTRRRTTTSSSQQQSSSWWWkkkvvvwwwooommmpppzzzppp]]]NNNFFFJJJOOOPPPTTT___hhh}}}gggVVVGGGDDD???===>>>@@@BBBCCCIIILLLSSS^^^iii{{{~~~yyyuuuooodddVVVKKK>>><<<:::;;;>>>AAACCCDDD@@@@@@????????????@@@@@@<<<<<<;;;::::::;;;<<<=========<<<<<<;;;;;;::::::999999999999999999888888:::999888888777777777888444444444444444444444444444333333333333333222222222222333333333333333444111222333333333555999<<>>CCCGGGLLLPPPSSSSSSVVVZZZ[[[XXXTTTQQQPPPPPPPPPRRRZZZccc|||xxxllllllrrrxxx```PPPIIIIIIJJJRRRTTTXXXeeesssoooZZZNNNCCCBBB@@@???@@@CCCFFFGGGPPPTTT[[[fffttt|||wwwrrrkkk___QQQGGGAAA>>><<<<<<>>>???@@@@@@@@@@@@????????????@@@@@@<<<;;;999777777777999:::<<<<<<<<<;;;;;;;;;;;;;;;999:::<<<======;;;:::999777777777666666777777888555555555555555555555555444444444444333333333333333333333333444444444444111222333333444777;;;>>>======<<<;;;:::999888888222333333333333333333333555555666666777777888888666777777888999:::::::::<<<============>>>AAADDDCCCEEEHHHJJJKKKMMMPPPRRRVVVYYY]]]```bbbeeehhhjjjiiikkknnnqqqssstttttttttuuuwwwyyyzzzzzz{{{}}}~~~|||~~~}}}yyyrrrkkkhhhkkknnnkkknnnqqqtttyyywwwjjjccckkkzzz~~~vvvhhhWWWIIIAAA>>>>>>777666444333111000//////...////////////...------------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,+++++++++++++++++++++++++++------------,,,,,,+++***+++++++++,,,,,,,,,---------------.........//////........................,,,,,,---------........................---------////////////////////////////////////////////////...000111111000///111222000222666:::===BBBGGGJJJKKKPPPRRRRRRTTTXXXYYYVVVPPPOOOMMMKKKMMMWWWhhhvvvsssjjjmmmuuujjjTTTHHHHHHLLLJJJTTTXXX]]]mmmxxxbbbQQQIIIBBBBBBBBBBBBCCCEEEHHHKKKRRRYYYcccooo{{{uuuooofff[[[NNNEEEAAA???======>>>???>>>>>>@@@??????>>>>>>??????@@@???===:::888666666777888:::::::::;;;;;;;;;;;;;;;:::<<<>>>??????>>><<<;;;666555555555555666777777777777777777777777777777444444444444444444444444444444444444444444444444222333333444444777;;;>>>777777777666666555555555333333333333333333333333222222222333333333333333666777777888888999999999:::;;;;;;;;;;;;<<<>>>AAA@@@BBBEEEFFFGGGHHHKKKMMMPPPSSSWWW[[[]]]```ccceeeeeegggjjjmmmpppqqqrrrrrrsssuuuxxxyyyyyyyyyzzz|||~~~xxxqqqqqqpppmmmgggbbbccchhhlllgggkkkmmmnnnpppzzztttiiibbbiiivvvrrraaaQQQEEE@@@>>>999888666444222000000/////////000000//////...---------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,,,,++++++++++++++++++++++++......//////...---,,,++++++++++++,,,,,,,,,---------------.........//////........................,,,,,,,,,------------...........................///////////////////////////////////////////////////000111111000000111222000444999===AAAEEEIIILLLKKKOOOQQQQQQRRRVVVVVVSSSNNNMMMJJJHHHNNN```xxxzzzooolllpppvvvppp[[[JJJDDDFFFJJJKKKVVV\\\eeexxxhhhUUUIIICCCAAABBBBBBBBBCCCFFFKKKOOOSSS^^^mmm}}}~~~|||wwwqqqiii___UUUJJJCCC===;;;;;;<<>>>>>>>>======>>>>>>>>>???>>><<<:::999888888999888888999999::::::;;;;;;;;;<<<>>>@@@@@@???>>><<<666666555555555666777777888888888888888888888888444444444555555555555666666555555555555444444444444444444444444555999<<<555555555555555555555555555555444444444444333333444444444444444444333333666666777777888888888888888:::;;;;;;;;;;;;<<<>>>>>>@@@BBBCCCDDDEEEGGGIIIJJJMMMQQQUUUWWWYYY\\\___```bbbdddgggjjjmmmnnnoooooorrruuuwwwwwwvvvwwwxxx}}}~~~~~~|||sssmmmjjjkkkjjjgggdddcccgggkkkdddggghhhhhhkkkwwwuuulllfffjjjsss{{{}}}mmm[[[LLLCCC@@@;;;:::777555333111000///000000000000000//////...------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---.../////////...---,,,++++++,,,,,,,,,,,,------,,,------------.................................,,,,,,,,,,,,------------...............////////////////////////////////////////////////////////////000222111000000111333111555;;;AAADDDHHHKKKNNNLLLPPPQQQPPPQQQTTTSSSPPPLLLLLLIIIIIISSSjjj~~~rrrnnnpppvvvzzz}}}qqq^^^NNNFFFFFFHHHKKKNNN[[[cccppplllXXXKKKCCC???@@@AAACCCCCCEEEIIIPPPUUUYYYhhh{{{|||vvvrrrjjjaaaWWWMMMEEE@@@:::999999<<>>>>>>>>======999888888777777777777888777777777777777777777777444444555555666666666666666666666666555555444444666666555444333333666999555555555666666777777777666666666555555444444444888777777777666666555555555555666666666666777777777999<<<===<<<;;;;;;<<<===>>>@@@AAAAAAAAACCCEEEEEEHHHLLLOOOPPPSSSUUUWWW[[[\\\^^^```dddgggjjjkkkkkknnnqqqsssssssssssstttyyy|||~~~wwwqqqlllqqquuuvvvrrrooommmmmmiiiiiigggfffjjjxxx|||tttmmmmmmpppwwwyyyeeeSSSHHHCCC<<<;;;999666333111000///000111111111111000//////........................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++---.........,,,+++++++++,,,,,,,,,,,,------,,,,,,,,,,,,------------........................++++++,,,,,,,,,------------........./////////000........................///////////////////////////111222222111000222333333777>>>CCCGGGJJJLLLNNNNNNRRRSSSQQQQQQSSSRRRNNNIIIKKKKKKMMMZZZrrrvvvoooooovvv~~~|||yyyssseeeSSSHHHGGGKKKNNNNNNRRR```jjjzzzuuu^^^OOOFFFAAA???AAABBBDDDEEEGGGMMMUUU\\\aaarrr{{{rrrmmmeee[[[QQQHHHAAA===:::::::::<<>>>>><<<;;;;;;;;;===????????????AAABBBAAADDDHHHKKKLLLNNNQQQSSSXXXXXXYYY[[[___cccfffiiihhhkkkoooqqqqqqppppppqqqvvvzzz}}}}}}wwwttt{{{|||uuurrrssspppkkkhhhkkkyyy{{{sssooonnnuuulllXXXKKKEEE===<<<999666444222000000111111111111111000//////........................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,((()))+++---------+++***++++++,,,,,,,,,---------+++++++++,,,,,,,,,------////////////////////////++++++,,,,,,,,,------------.........//////000000........................///////////////////////////111222222111111222333444888???EEEHHHJJJMMMNNNQQQTTTTTTRRRQQQSSSQQQNNNGGGJJJLLLPPP```vvv}}}xxxpppmmmpppyyy}}}mmmooovvvqqqqqqaaaPPPIIIHHHIIIKKKNNN\\\bbbqqqyyy___OOOGGGBBBAAACCCDDDBBBBBBFFFMMMVVV]]]aaaooo}}}yyyssshhh[[[SSSLLLDDD???>>>777888:::<<<>>>@@@@@@AAA???===<<<;;;<<<<<<;;;999999999999777666666888:::888888777777666666777777<<<===>>>>>>???>>>>>>===@@@===:::999<<<===<<<:::;;;;;;;;;;;;<<<;;;999777::::::999888888888888999888888888888888777666666555555555555555555555555777777777777777777777777999999888777666555555444555555555555444333222222333444555666777777777777;;;::::::999999888888888999:::<<<;;;::::::;;;===BBBCCCDDDFFFGGGHHHJJJJJJNNNQQQUUUYYY\\\```dddgggffffffhhhjjjllloooqqqsssrrrvvvzzz~~~~~~|||~~~}}}zzzuuuqqqooovvv~~~tttrrr{{{vvvdddRRRFFFBBB===999777555000000222111///......//////...---.........------,,,,,,,,,---------,,,,,,,,,++++++...------,,,,,,------............//////000000000,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++++++++,,,++++++++++++,,,------***+++------...---,,,+++---------.........//////000000/////////..................///000111111222////////////............////////////000000000000000000000000000000000000000111222222111222444555999<<>>>>>>>>>>><<<:::;;;===???>>>===@@@>>><<<;;;;;;;;;;;;;;;999999888888777888888999999999999999999888777777555555555555555555555555666666666666666666666666888888777777666555555555444555555666666666555555555666666666666666555555888888888777777777777777888:::;;;;;;::::::;;;<<<@@@AAABBBCCCDDDFFFGGGGGGFFFIIIMMMQQQTTTWWW[[[^^^bbbcccdddgggiiilllooopppqqqtttxxx{{{||||||}}}~~~}}}vvvqqqvvvyyyuuu{{{|||kkkYYYKKKCCC>>>:::999777222111333111///......//////...---.........------,,,,,,,,,---------,,,,,,,,,++++++,,,,,,,,,++++++,,,,,,,,,+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,,,,,,,,,,+++,,,,,,,,,,,,,,,------...,,,,,,---------,,,+++++++++++++++,,,,,,,,,------------,,,,,,++++++++++++------...//////000000111---.........//////000000////////////000000000000000000000000000000000000000111222222111222444777;;;>>>CCCGGGJJJMMMQQQSSSWWWWWWWWWVVVSSSPPPLLLJJJGGGJJJLLLQQQ___nnnvvvuuurrrlllkkkttt~~~{{{lllcccaaaeeettt{{{rrr```VVVMMMKKKNNNRRRWWW\\\eeessslll\\\LLLCCC@@@>>>???AAABBBEEEIIIOOOVVVbbbqqqzzz~~~wwwrrrggg[[[NNNFFF@@@;;;888999999:::<<<>>>???@@@AAAAAA>>>===<<<<<<======;;;999666888:::;;;:::::::::;;;;;;;;;;;;:::;;;;;;<<<<<<======<<<<<<<<<===>>>???<<<<<<<<<===@@@BBBBBBAAAEEECCC???<<<;;;;;;===>>>:::999999888888999999:::999::::::::::::999888888666666666666666666666666666666666666666666666666666666666666666666666666444444555666777888888777777777777777666555444333555555555555555555666666777999::::::999999:::;;;======>>>???AAABBBCCCCCCCCCFFFIIILLLOOORRRVVVXXX]]]^^^```bbbeeehhhjjjllloooqqqtttwwwxxxyyy{{{}}}~~~|||tttvvv{{{}}}uuubbbQQQEEE???;;;;;;999555222333111000...///000000///---.........---------------------------,,,,,,,,,,,,,,,++++++******++++++,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,---.........---,,,,,,+++++++++++++++++++++,,,,,,,,,------,,,++++++++++++*********,,,------....../////////,,,,,,---...///000111111////////////000000000000000000000000000000000000000111222222222333666999===AAAFFFJJJNNNQQQTTTVVVWWWWWWWWWVVVSSSOOOLLLIIIIIIJJJLLLRRR___lllpppnnnmmmkkkooo|||jjj``````hhhsssnnn[[[TTTNNNOOORRRVVV\\\cccpppuuu^^^RRRFFFBBBAAA???@@@CCCDDDIIIPPPXXXaaappp|||tttnnncccWWWJJJCCC>>>:::999;;;;;;<<<===???@@@@@@AAAAAA>>>=========>>>===;;;999444777;;;===<<<;;;;;;;;;<<<<<<<<<<<<======>>>???>>>===;;;;;;;;;===???AAA>>>>>>???AAACCCDDDEEEEEEIIIHHHEEEAAA>>>===>>>???;;;;;;::::::::::::;;;;;;999::::::::::::999888888888888888888888888888888777777777777777777777777666666666666666666666777444555666666777777777666666666666666666555444444333333444444555555666666666888999999888777999::::::;;;<<<===>>>???@@@@@@AAACCCGGGIIIKKKMMMPPPSSSXXXYYYZZZ]]]```cccfffggglllnnnqqqrrrtttvvvyyy{{{zzz|||}}}uuuvvvjjjWWWHHHAAA<<<<<<;;;666333333111000//////000000///---...............---------...------------,,,,,,,,,,,,,,,++++++++++++,,,,,,.........------,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,---------------,,,,,,------...//////...,,,+++******+++,,,---------.........//////...---------------------,,,,,,,,,------.........---------...///000000111////////////000000000000////////////////////////000111222222333555888;;;???CCCHHHMMMPPPSSSVVVXXXUUUUUUUUUTTTRRROOOLLLJJJFFFHHHNNNXXXdddmmmnnnkkkjjjllluuu\\\[[[hhhzzzhhhZZZVVVSSSTTTVVVYYYbbbjjjzzzxxxeeeSSSJJJCCCAAAAAA@@@AAADDDEEELLLVVV```lll}}}{{{rrrkkk^^^RRRFFF@@@===::::::<<<<<<<<<>>>???@@@@@@@@@@@@>>>======>>>???>>>;;;888444777;;;======;;;::::::;;;;;;;;;<<<===>>>???@@@>>>===<<<;;;<<<>>>@@@BBBAAABBBDDDEEEFFFGGGIIIJJJMMMMMMMMMJJJEEEAAA??????<<<<<<;;;:::::::::::::::999999::::::999999888777999999999999999999999999888888888888888888888888666666666777777777777777666666666666666555444333444444555666666777666666444444444555555666666666555666777777666666777999999::::::;;;<<<===>>>>>>===???BBBCCCDDDFFFIIIKKKRRRSSSUUUWWWZZZ^^^aaabbbgggjjjlllnnnppprrruuuxxxwwwyyy}}}~~~{{{}}}~~~}}}~~~uuutttrrr___MMMDDD===<<<;;;777333333222000//////000000///....................................---------,,,,,,------,,,,,,,,,,,,------+++******))))))(((((((((,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,------------,,,,,,,,,,,,---......///...,,,+++***+++,,,,,,---------.........//////............////////////,,,,,,,,,,,,------------///////////////.........////////////000000000000////////////////////////111111222333444666;;;>>>@@@DDDJJJOOOQQQSSSUUUWWWVVVUUUSSSPPPMMMKKKIIIHHHDDDIIISSSaaalllpppooommmkkkrrrZZZbbbyyygggZZZWWWVVVXXXZZZ___jjjuuu~~~hhhWWWJJJDDD????????????AAAEEEHHHOOO[[[iiiyyyyyyooogggVVVKKKAAA<<<;;;888888;;;<<<======>>>?????????>>>>>>===>>>???@@@>>>;;;888444777;;;===<<<:::999999999999999:::;;;===>>>???>>>=========>>>@@@BBBCCCDDDEEEGGGHHHIIIKKKOOORRRTTTVVVVVVRRRKKKFFFCCCCCC???>>>===<<<;;;:::::::::::::::;;;;;;::::::999888::::::::::::::::::::::::999999999999999999999999888888888888888888888888666666666666555444333333333444555666777777777777555555555555555666666666444555666666555555666777888999999:::;;;;;;<<<<<<===???AAABBBCCCDDDFFFHHHLLLLLLNNNQQQTTTXXX[[[]]]aaacccgggjjjkkkmmmppprrruuuwwwzzz}}}~~~yyyvvvxxxzzzyyy{{{~~~}}}ssssss}}}{{{iiiUUUJJJ???<<<;;;888444444222000//////000111///................../////////............---------,,,...------,,,,,,------...+++++++++++++++*********,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,---,,,++++++++++++,,,---------,,,,,,++++++,,,,,,---+++++++++,,,,,,,,,------,,,,,,---------------...------------------------000000//////............////////////000000000000000000000000000000000000111111222333444888===AAABBBFFFLLLPPPRRRTTTUUUVVVYYYVVVRRRMMMIIIGGGFFFFFFKKKQQQ^^^kkkqqqpppppprrrqqq}}}cccooodddVVVUUUWWW[[[^^^fffuuummmZZZKKKEEE@@@===>>>@@@AAADDDIIIQQQWWWcccuuu~~~vvvkkkcccQQQGGG>>>;;;;;;888888:::<<<<<<===>>>>>>>>>======>>>>>>>>>???@@@???;;;888666888;;;;;;:::888888888666666666777999;;;<<<===>>>>>>???@@@AAABBBCCCCCCDDDFFFHHHIIIKKKPPPWWW\\\^^^```^^^YYYPPPKKKJJJKKKGGGFFFDDDBBB@@@???>>>>>>===============<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::999888888888666666777777777666666555555555666666666666666555555555555555555444444444333444555555444444555666777777777888999999::::::===???AAAAAAAAAAAACCCEEEEEEFFFHHHKKKNNNRRRUUUWWWYYY\\\aaaeeeggghhhiiikkkpppqqqsssvvvzzz}}}wwwqqqnnnppprrrsssvvvzzz||||||rrrqqq|||vvv]]]PPPCCC>>><<<999777666222111000000111111000...---........./////////000............---------------,,,,,,,,,,,,,,,,,,---------------............,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,,,,,,,,,,++++++************+++,,,,,,******+++,,,------------+++++++++,,,,,,,,,------+++++++++,,,,,,---------.........---------------.........///////////////////////////000000000000000000000000000000000000111111222333555999???CCCEEEIIIOOOSSSTTTTTTTTTUUUWWWTTTNNNJJJHHHIIIKKKMMMZZZ```jjjsssqqqmmmpppwww{{{iiivvvrrrZZZRRRSSSVVV\\\aaakkk}}}sssbbbQQQDDDCCC???===@@@BBBDDDIIINNNYYY___lll|||tttiii```PPPFFF???===<<<::::::;;;<<<<<<============<<<<<<>>>>>>>>>@@@AAA???;;;888666888::::::999777777888444444444666777999;;;<<<===>>>@@@AAACCCCCCCCCCCCCCCEEEGGGIIILLLSSS\\\cccffffffccc\\\SSSNNNOOORRROOOMMMKKKIIIGGGEEEDDDDDD???????????????>>>======<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;:::999888888555666777888888999999888777777777777666555444333555555555444444333333333222333555444333333444666555555666666777777888888888999;;;;;;;;;;;;===>>>AAABBBDDDFFFJJJNNNQQQSSSTTTXXX]]]aaacccdddeeefffjjjkkkmmmppptttxxx{{{}}}zzz|||~~~{{{rrrlllhhhjjjlllnnnrrrwwwzzz{{{qqqooozzz{{{cccTTTEEE???>>>;;;888888222111000000111111000...---.........//////000000//////.........---------,,,++++++++++++++++++,,,*********++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++++++++******))))))******+++,,,((()))+++---.........------------.........//////,,,,,,,,,------.................................,,,------...///000111111////////////000000000000000000000000000000000000111222222333555:::@@@EEEGGGKKKQQQTTTUUUUUUUUUUUURRROOOJJJHHHHHHMMMSSSVVVhhhlllsssvvvpppiiiooozzzpppsssbbbVVVQQQTTT[[[bbbhhhssszzzaaaMMMDDDDDDCCC@@@@@@CCCEEEGGGOOOWWW^^^mmm|||yyyssshhh]]]OOOEEE<<<::::::999:::===;;;;;;;;;<<<===???@@@AAA??????AAABBBCCCAAA<<<999888777777888999888666444555555555666888999;;;<<<@@@???>>>@@@BBBEEEGGGGGGFFFIIIMMMNNNPPPVVV___ggglllhhhaaa[[[XXXWWWXXXYYYXXXVVVSSSOOOLLLKKKJJJJJJIIIIIIHHHDDDAAA???@@@AAAAAA@@@>>><<<;;;;;;<<<<<<:::<<<===<<<999999;;;>>>999999999::::::;;;;;;;;;:::::::::999999999888888888888888888777777777777555555444444444333333333555444444333333444444555222333444555666888999999999999:::;;;;;;<<<<<<<<>>>>>???@@@AAACCCDDDBBB===:::888888888999::::::888666666555555666777888999:::<<<===>>>AAACCCEEEFFFFFFHHHKKKNNNPPPRRRXXXaaaiiijjjhhhddd```]]]\\\\\\\\\]]]\\\ZZZXXXUUUSSSRRRRRRMMMKKKIIIGGGEEEDDDDDDCCCBBBAAA@@@>>>=========>>><<<>>>???>>>;;;;;;<<>>:::888888888:::<<<<<<;;;:::999888888777888999:::;;;;;;===@@@DDDGGGHHHIIIIIIKKKNNNQQQSSSUUU[[[dddjjjiiihhhfffdddcccbbbbbbbbbddddddddddddcccaaa___^^^VVVRRRNNNMMMMMMMMMJJJHHHFFFEEECCCBBBAAA@@@@@@@@@???@@@@@@???===<<<===>>>;;;;;;;;;;;;<<<<<<<<<<<<::::::::::::999999999999777777666666666555555555555555555444444444444333444444444444444444444444444444444555555555666666444555666777888999::::::::::::;;;===???@@@AAABBBBBBEEEIIILLLNNNQQQTTTVVV]]]^^^aaadddhhhkkknnnpppuuuwwwxxx{{{~~~}}}sssiiiZZZWWWUUUWWWXXX[[[cccllluuuzzzzzztttsssrrrXXXIIIBBB>>>;;;:::777555222000000000///.................................------------......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------...------,,,,,,------...------------------------...---++++++,,,---,,,+++,,,,,,,,,+++++++++++++++------------------------...............---------///...------,,,---------............////////////////////////000000000000...///000000//////000222222444666:::???DDDHHHJJJPPPQQQSSSTTTUUUUUUUUUTTTOOOIIIFFFKKKWWWjjjuuuooouuu}}}fffVVVQQQRRRSSSWWWaaaqqq~~~aaaOOOGGGBBBAAABBBCCCCCCEEEIIIMMMTTTaaannnzzzwwwrrrhhh^^^OOOEEE===;;;;;;999999;;;<<<===???@@@AAAAAA@@@???@@@@@@AAABBBBBB@@@<<<999888888888:::===>>>>>>======<<<;;;:::;;;<<<===??????BBBFFFIIILLLMMMOOOPPPOOOQQQSSSUUUYYY^^^eeekkkjjjhhhgggeeeeeeggghhhjjjiiikkkmmmnnnnnnmmmkkkjjjccc^^^YYYXXXYYYXXXSSSOOOKKKJJJHHHGGGEEEDDDCCCBBBAAAAAAAAA@@@>>>===<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::999999999777777777777666666666666555555555555444444444444333444444444444444444333444444444444444444444444333444555666777888999:::888888999;;;<<<===??????>>>AAADDDGGGIIIKKKNNNPPPWWWXXX[[[___cccgggiiikkkqqqrrruuuyyy||||||rrrjjj[[[WWWUUUVVVXXX[[[dddmmmwww|||{{{xxxuuuuuu~~~bbbNNNFFFBBB???<<<999666333111111111111000..............................------------......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------............------,,,,,,------...------------------------...,,,++++++,,,---,,,+++++++++******))))))((((((,,,,,,------------------..............................------------..................////////////////////////000000000000000111222222222222333555111444888===AAAEEEIIILLLQQQQQQRRRSSSTTTUUUUUUUUUOOOJJJHHHPPPaaawww{{{qqqppp{{{ooo\\\PPPOOOSSSSSSWWWdddxxxpppUUUFFFBBB@@@@@@@@@CCCDDDGGGLLLPPPXXXiiiwww~~~yyyvvvrrrhhh^^^MMMDDD===;;;;;;:::999;;;<<<>>>AAADDDEEEEEEDDDCCCAAA@@@?????????===:::777888777777999<<>>@@@BBBEEEIIINNNQQQSSSTTTVVVXXXSSSTTTVVVXXX\\\aaafffjjjkkkiiigggeeefffiiimmmooommmooorrruuuvvvuuusssrrrpppkkkfffeeeeeeddd^^^YYYSSSRRRPPPNNNKKKIIIGGGEEECCCBBBBBBAAA@@@>>>;;;:::;;;;;;;;;;;;::::::::::::;;;;;;;;;:::::::::999999999999999888888888777777666666555555555444444444333333444555555444333333444444444444333333333333444444555666777888999999777777888:::;;;<<<======>>>@@@BBBDDDEEEGGGJJJLLLOOOQQQTTTYYY^^^bbbfffgggkkkmmmqqquuuzzz}}}|||~~~tttoooaaa]]]ZZZ[[[]]]aaajjjsss|||~~~~~~~~~kkkTTTGGGCCC@@@===999777444222222222111000///////////////////////////......------......///,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------............------,,,,,,------...---------------------------,,,***+++,,,------,,,......------,,,,,,++++++,,,,,,,,,---------......---...........................---------......///............////////////.../////////000000000111///111222333222222444555222555:::>>>BBBEEEJJJNNNQQQQQQRRRSSSTTTUUUUUUUUUMMMKKKMMMYYYooo}}}vvvsssxxxrrrbbbUUUMMMNNNSSSXXX\\\kkkwwwcccMMMCCCAAA@@@@@@AAABBBCCCHHHNNNUUU```sss}}}~~~{{{vvvssspppggg]]]KKKCCC<<<<<<<<<;;;;;;<<<<<>><<<;;;:::888777777666666888;;;===>>>>>>;;;:::999:::<<>>;;;<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::::::::999999999888888888666666666555555555444444222333444555555444333222333333333333333333333333444444555555666666777777666777777888:::;;;;;;<<<===>>>@@@AAAAAACCCFFFIIIGGGIIIMMMRRRWWW\\\```bbbdddgggkkkpppuuuxxxzzz{{{zzz}}}xxxuuuiiidddaaabbbdddhhhqqqzzz~~~|||tttZZZIIICCC???<<<999777444222222222111000//////////////////////////////............//////,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------...------,,,,,,------...---------------------------+++***+++,,,------,,,---,,,,,,,,,,,,,,,,,,++++++,,,,,,------.........---------........................---......///000............////////////......//////000000111111---///111111111111333444555999>>>@@@BBBFFFLLLQQQQQQRRRTTTUUUUUUTTTSSSSSSKKKKKKPPPaaazzzxxxvvvvvv{{{uuubbbWWWRRROOORRRWWW```eeeuuufffWWWHHHCCCBBBAAAAAABBBBBBEEELLLUUU^^^lll~~~zzzzzzwwwrrrooolllcccZZZIIIAAA;;;<<<===<<<<<<>>>>>>BBBIIIOOOSSSUUUTTTSSSIIIEEE???:::888888888777666555444666999;;;<<<===<<<;;;;;;<<<@@@EEEIIIMMMUUU___mmmuuuuuupppkkkiiiaaa``````aaadddhhhjjjkkkkkklllmmmnnnoooooonnnnnnppprrruuuxxxzzzzzzzzzyyyyyyyyyyyyxxxwwwuuusssrrrjjjiiifffbbb]]]XXXTTTQQQPPPNNNLLLKKKKKKHHHCCC???>>>>>>>>>>>>=========<<<<<<;;;;;;;;;;;;:::::::::999999999888888888888777666666666666555555555555222333555666666555333222222222222222222333333333444444444444444444444444555555666777888999999::::::<<<=========???BBBDDDBBBDDDGGGLLLPPPUUUXXXZZZ]]]```eeejjjnnnqqqssstttvvvzzz~~~{{{yyyooojjjggggggiiimmmwww}}}}}}|||eeeOOOEEEAAA>>>999666333222222222111000//////////////////////////////............//////------------------------------------------,,,,,,...------,,,,,,------...---------------------------+++******,,,...------************++++++++++++++++++,,,,,,---......///---------.........//////...............///000000............////////////.........///000111111111---///111111111111333555:::>>>BBBCCCDDDHHHOOOUUUTTTUUUVVVWWWUUUSSSOOOMMMIIIIIIOOOaaa|||tttuuuyyy~~~jjjWWWPPPRRRTTTXXX]]]gggmmm~~~tttZZZOOOEEECCCCCCCCCCCCDDDEEEIIIQQQ\\\fffwww}}}wwwwwwtttooollliiiaaaXXXGGG@@@;;;<<<=========???BBBGGGOOOVVV[[[]]]]]]\\\MMMGGG@@@:::777777888888666444333444777:::;;;;;;>>>>>>>>>@@@DDDJJJPPPTTT\\\jjj}}}}}}uuupppeeeddddddeeehhhjjjlllllljjjmmmqqqttttttqqqnnnkkkrrrsssuuuxxxyyyzzz{{{{{{wwwyyy{{{|||zzzyyyyyyzzzrrrqqqnnniiiddd^^^XXXUUUUUUSSSQQQQQQPPPMMMHHHCCCAAA@@@@@@@@@??????>>>>>><<<<<<;;;;;;;;;:::::::::888888888888777777777777777666666666555555555555222333555666666555333222111111222222222333333333333333333222222222111111444444555555666777888888888999:::::::::;;;>>>AAA@@@BBBDDDHHHLLLOOORRRSSSYYY[[[```eeejjjmmmnnnnnntttwww|||~~~~~~~~~~~~|||{{{qqqllliiiiiikkkoooyyyzzz|||oooUUUIIIDDD@@@999666333222222222111000000000000000000000000000//////............//////.................................------,,,,,,,,,...------,,,,,,------...---------------------------+++******,,,......------------....../////////++++++,,,,,,---...//////---------.........//////...............///000000............/////////000---......///000111111222///111333333333444555777>>>BBBEEEEEEEEEIIIQQQXXXWWWXXXYYYXXXUUUQQQLLLIIIIIIIIIMMM]]]yyywwwtttvvv{{{rrr___PPPPPPRRRTTT[[[fffmmmyyyfffRRRIIIAAA@@@@@@AAACCCFFFJJJMMMUUUaaarrrzzzwwwsssnnnkkkgggaaaYYYRRRFFF>>>999;;;======???BBBDDDKKKVVV```fffhhhhhhgggUUUHHH<<<999::::::::::::777666444333555888<<<>>>===;;;>>>CCCFFFJJJUUUcccmmmvvvkkkiiiiiijjjjjjllllllmmmmmmkkknnnsssuuutttqqqooonnnqqqrrrtttuuuvvvvvvwwwwwwyyyyyyzzz{{{{{{{{{zzzzzzsssrrrqqqnnnkkkgggdddaaa[[[YYYXXXYYYYYYWWWRRRMMMJJJHHHEEEDDDCCCBBB???===<<<;;;;;;:::999999::::::<<<<<<<<<;;;:::999888777999888777888999888777555444444444444333222111000333333333333333333333333333333333333333333333333333333333444444444555555666777777999:::;;;<<<<<<>>>@@@BBBEEEHHHKKKMMMNNNRRRUUUYYY^^^bbbfffkkknnnnnnqqquuuxxxzzzzzz{{{|||~~~xxxtttssspppllllllqqq{{{{{{|||gggNNNAAA@@@===;;;999888777555222///222222222111111///...---////////////////////////......------------......,,,,,,,,,,,,,,,,,,,,,,,,///...,,,++++++,,,...///---------------------------,,,,,,,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------.........------,,,,,,------...---------............///........................---......///000111111222000111333333222333555777CCCCCCCCCEEEIIIOOOUUUYYYVVVXXXZZZ\\\YYYSSSKKKDDDCCCGGGQQQaaapppyyyzzzxxxlllvvvgggYYYOOOQQQTTTXXXaaannn}}}ppp^^^NNNFFF@@@AAABBBCCCFFFIIIMMMQQQZZZiii|||}}}xxxsssoooiiieeeaaa[[[TTTNNNEEE>>>999;;;======???BBBGGGPPP]]]kkkssstttooojjjVVVIII===:::;;;::::::;;;888666555444555888;;;>>>>>>===AAAGGGKKKRRRaaappptttmmmmmmnnnoooooonnnnnnoooooonnnqqquuuwwwuuurrrpppnnnpppppprrrssstttuuuuuuuuussstttuuuvvvwwwwwwwwwwwwwwwvvvuuussspppllliiigggbbbaaa``````aaa___ZZZUUUQQQOOOMMMKKKJJJHHHEEECCC@@@???>>><<<;;;:::::::::;;;;;;;;;;;;:::999888888999888777888999888777555555666666555444333222222333333333333333333333333333333333333333333333333333333333444444444444555555555666777888999::::::<<<===???BBBEEEHHHJJJKKKLLLPPPTTTXXX\\\```dddhhhiiimmmqqqtttuuuvvvwwwyyy~~~|||yyyuuuooommmqqqzzzmmmSSSDDDBBB===;;;999777666555111///111111111111111000///...////////////////////////......------------......,,,,,,,,,,,,,,,,,,,,,,,,///...,,,++++++,,,...///---------------------------,,,,,,,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......------,,,,,,,,,,,,---------------............///..............................//////000111111222000111333333333444666888CCCCCCDDDFFFJJJPPPUUUYYYYYYYYYYYYWWWSSSMMMFFFAAAEEEKKKVVVdddooouuuuuusssnnnyyy\\\SSSOOOSSSXXX___nnn}}}dddSSSHHHCCC???AAADDDFFFIIIMMMPPPWWWdddwwwzzzuuuoooiiibbb\\\XXXTTTNNNJJJCCC===999:::<<<===@@@DDDJJJTTTfffxxxtttjjjVVVJJJ???<<<;;;::::::;;;999777666555666888;;;===<<<>>>CCCIIIPPP\\\oootttlllkkktttvvvwwwvvvrrrpppqqqsssrrruuuxxxxxxvvvrrrpppooommmnnnoooqqqrrrrrrssssssooopppqqqssstttuuuvvvvvvxxxxxxwwwuuussspppnnnllliiihhhggghhhiiigggbbb]]]YYYWWWUUUSSSQQQNNNKKKHHHEEEDDDBBB@@@>>><<<:::999:::::::::::::::999999999999888777888999888777555666666666666666555444333333333333333333333333333333333333333333333333333333333333333444444444444333444444555666777888888999:::<<<>>>AAACCCEEEFFFFFFIIIMMMQQQTTTXXX\\\___cccfffkkknnnoooqqqrrrttt}}}{{{tttppprrrzzzvvv[[[IIIDDD>>>;;;999777666444111///000000111111111000000///////////////////////////......------------......------------------------...---,,,++++++,,,---...------------------------,,,,,,,,,,,,,,,---......------------------------,,,,,,,,,---------......---,,,,,,++++++,,,,,,------------............///...........................//////000000111111111000111333333333555888:::DDDDDDEEEHHHLLLQQQUUUXXX[[[YYYWWWSSSNNNJJJEEECCCGGGPPP]]]hhhoooqqqpppooosssUUUQQQPPPTTT[[[hhh}}}sssZZZKKKDDD@@@???BBBEEEFFFJJJOOOSSS^^^ppp~~~xxxrrrmmmfff]]]VVVRRRNNNJJJGGGAAA;;;999:::<<<===@@@EEELLLYYYnnnqqqcccTTTJJJ???<<<;;;999999;;;:::999777666777999;;;<<<888<<>>???AAABBBAAADDDHHHKKKNNNQQQUUUXXX^^^aaaeeehhhjjjlllnnnpppxxx{{{xxxrrrssszzzdddNNNDDD???<<<999777666444111//////000000111111111111000////////////////////////......------------.................................---,,,,,,,,,,,,---...------------------------,,,,,,++++++,,,,,,---...........................,,,,,,,,,---------......,,,,,,++++++++++++,,,,,,---------............///........................//////000000000111111111000222333333444666:::===DDDEEEGGGJJJMMMRRRVVVXXXXXXXXXVVVRRRNNNKKKIIIIIIIIITTTbbblllpppqqqrrrsss{{{RRRQQQQQQTTT]]]ooohhhTTTHHHBBB??????BBBEEEGGGLLLRRRYYYiii~~~vvvpppllleee[[[SSSOOOLLLHHHEEE>>>:::888:::;;;<<>>;;;999777888:::;;;:::999888888999:::<<<999===CCCJJJUUUgggzzzyyyooohhhhhhqqq{{{}}}wwwssstttvvvvvvxxxyyyxxxtttpppmmmlllmmmnnnoooqqqrrrrrrrrrrrrrrrsssssssssssssssrrrqqqrrrrrrqqqqqqppppppoooooollljjjjjjlllnnnmmmhhhcccaaa```^^^^^^\\\ZZZVVVRRRRRRPPPNNNJJJEEE@@@;;;999999999888888888999::::::999888777777999888777555444555555555555444444333444444444444444444444444333333333333333333333333222222222333333333444444333333444444555555666666777888999:::;;;===>>>>>>???AAAEEEGGGJJJLLLPPPRRRYYY\\\```ccceeehhhkkkmmmtttvvvzzz}}}{{{ttttttyyy~~~nnnUUUFFFAAA>>>:::888666555222111///000000111111111111000////////////////////////......------------..............................---------,,,,,,---------------------------------,,,++++++++++++,,,------........................,,,,,,,,,---------......---,,,,,,++++++,,,,,,------------............///////////////////////////000000000000111111111111111222333333555888===@@@EEEFFFHHHLLLOOOSSSVVVWWWUUUVVVUUURRRNNNLLLLLLMMMOOOZZZfffooorrruuuzzz~~~PPPQQQRRRWWWdddzzzqqq]]]NNNGGGAAA???@@@CCCFFFIIIPPPXXXdddyyy~~~vvvpppkkkcccYYYQQQLLLIIIFFFCCC<<<999888:::;;;<<>><<<:::888:::>>>===<<<;;;:::::::::::::::@@@BBBDDDIIIWWWfffllljjj___ZZZWWWXXX\\\ggg|||~~~zzzzzzxxxwwwwwwxxxyyyvvvrrrooollllllmmmnnnooopppqqqrrrrrrrrrooooooooopppoooooonnnnnnmmmmmmlllmmmnnnoooqqqrrrnnnmmmmmmooorrrqqqmmmhhhdddeeefffgggiiihhheeebbb___^^^[[[WWWQQQJJJDDDAAA<<<:::888777666777888999999888777888999888777555444555555666666666555555555555555555555555555555333333333333333333333333111222222222222333333333111111222222222222333333555666666666777777888888999;;;>>>@@@AAACCCFFFHHHKKKNNNQQQTTTWWW[[[___bbbiiilllooorrrtttxxx|||{{{uuuuuuwww{{{~~~mmmVVVFFFBBB===:::888777555444111111111111111000///...////////////////////////......------------......,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------,,,------------------------+++++++++***++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......///......------......///---------............///////////////////////////111111111111111111111111111222333444666;;;AAAEEEEEEHHHKKKOOOSSSUUUVVVVVVSSSRRRPPPMMMNNNVVVbbbmmmrrrrrrrrrrrruuu}}}SSSWWW___kkklllVVVIIICCCAAAAAA@@@AAAFFFKKKRRR^^^iii~~~xxxqqqddd]]]SSSLLLGGGCCC???;;;999777888::::::<<>>;;;999888666555222222222111111///......////////////////////////.........------.........,,,,,,,,,,,,,,,,,,,,,,,,,,,------......------,,,------------------------++++++******++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......//////............//////---------.........//////000000000000000000000000222222111111111111111111111222333444666;;;BBBFFFEEEHHHLLLPPPTTTUUUVVVVVVRRRQQQNNNMMMRRR```ttt|||vvvsssuuu~~~TTT\\\jjj}}}ppp]]]PPPFFFAAA@@@AAAAAAEEELLLRRRYYYjjj{{{xxxooofff^^^SSSJJJDDDAAA===:::777:::<<<;;;:::===DDDJJJ^^^fffnnnmmmcccWWWPPPNNNHHHFFFCCC>>>:::999;;;===??????>>>======<<<======>>>@@@CCCIIIOOOSSSUUUUUURRRPPPSSS[[[eeewww{{{yyyyyyyyyxxxzzzyyyxxxxxxxxxvvvsssppppppppppppqqqqqqqqqnnnllloooooonnnmmmlllkkkkkkjjjhhhiiijjjkkklllmmmmmmmmmmmmllllllmmmmmmllliiifffcccaaabbbeeejjjkkkiiigggfffdddbbb___[[[UUUOOOJJJBBB>>>999666666888999:::888888777666666666666666999888888888777777666666555555666666555555444333333333333333333333333333555555444444444444333333111111111111111111111111111111222333333444555555777888999:::<<<>>>@@@BBBDDDEEEFFFGGGIIILLLPPPTTTYYY[[[^^^cccgggllloooqqqssswww|||vvvpppmmmkkkrrryyy{{{||||||fffSSSCCC======888888999444222111000000000000000111000000000000000///......------------------------000000///...------,,,,,,---///...---...///+++%%%,,,,,,------...------,,,......------------......///...---+++******++++++........................---------............///////////////////////////////////////000111222333222222111111111111111111222333555888;;;>>>AAACCCIIIMMMRRRUUUVVVTTTSSSSSSQQQPPPMMMRRRfff{{{uuuwwwYYYcccwwwhhhWWWLLLDDDAAABBBAAABBBGGGNNNTTT___sssxxxoooeee]]]RRRIIIDDD@@@<<<999777999;;;:::999<<>>:::999;;;===AAA@@@???>>>============>>>@@@DDDJJJPPPTTTTTTSSSOOOQQQUUU\\\jjj~~~yyyxxxxxxxxxyyy|||{{{zzzzzzyyyxxxuuusssqqqpppooopppqqqqqqooommmpppooonnnmmmlllkkkjjjjjjhhhiiijjjkkkllllllllllllkkkjjjkkklllmmmllliiigggcccbbbbbbeeeiiikkkiiiffffffdddbbb```]]]XXXRRRNNNGGGBBB<<<777666666777777888888777666666666666666888888888888777777777666555555666666555555444333333333333333333333333333222222111111111000000000111111111111111111111111111111222222333444444555666666777888:::<<<===>>>AAABBBCCCDDDEEEHHHLLLOOOSSSTTTXXX\\\aaaeeehhhjjjooorrrxxx|||vvvooolllkkkqqqvvvyyy~~~pppYYYGGG???>>>888777888222222111111000000000000000000000000000000///......---------------------------------..................444777222...---,,,+++---------...------,,,,,,------,,,,,,,,,,,,------000///---,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,---------............///////////////////////////////////////000111222333222222111111111111111111000222555999>>>CCCFFFHHHJJJNNNSSSVVVVVVTTTSSSRRRPPPPPPQQQ[[[ssszzzvvvzzz\\\hhhsss]]]NNNGGGBBBAAACCC@@@DDDJJJRRRZZZiiixxxoooddd\\\PPPGGGBBB???;;;888777999:::999999<<>>AAA@@@???============>>>>>>AAAGGGNNNTTTVVVTTTRRRNNNTTTYYY```ttt|||uuuvvvxxxyyy{{{~~~}}}|||{{{|||zzzxxxvvvqqqpppnnnooopppqqqqqqpppppppppnnnmmmkkkjjjiiihhhiiijjjjjjkkkkkkjjjjjjjjjhhhhhhhhhjjjlllllljjjhhhdddbbbaaadddhhhjjjhhhffffffeeecccbbb```]]]XXXTTTMMMGGG@@@999666555555555888777777666666666666666888888888888777777777777555666666666666555444444333333333333333333333333111111111000000000//////111111111111111111111111111111222222333333444444555555555555777888999:::<<<===>>>???@@@BBBFFFIIIJJJLLLOOOSSSWWW[[[^^^```gggkkkpppuuuyyy|||vvvoookkkkkkooorrruuu{{{|||cccOOODDDAAA:::888999333222222111000000000000000000000000000000///......------------------------***+++,,,---...000111111///999>>>777...+++...000---.........---,,,,,,+++,,,,,,,,,++++++,,,,,,,,,000///...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------............///////////////////////////////////////000111222333111111222222222222222222222444777<<>>@@@???===;;;;;;;;;======@@@DDDLLLTTTYYYZZZWWWTTTPPPXXX]]]fffxxxtttwwwyyy{{{~~~~~~||||||||||||zzzxxxrrrpppnnnoooppprrrssssssqqqpppooommmkkkjjjiiihhhjjjkkkkkkkkkjjjiiiiiihhhffffffgggiiilllmmmlllkkkgggdddbbbdddgggjjjiiigggfffeeeccccccbbb___\\\YYYRRRKKKCCC;;;777666555555777777666666666666777777888888888777777777777777666666666666666555444444444444444444444444444444333333333333222222222222111111111111111111111111111111222222333333333333444444444444555555666777888999;;;<<<<<<>>>AAADDDDDDFFFHHHLLLOOOSSSVVVWWW^^^bbbhhhmmmqqquuuyyy|||yyyqqqlllkkklllnnnqqqwwwnnnXXXJJJEEE===<<<===666333333222111000000000000000000000000000///..............................***+++,,,---...000111111...777<<<666...,,,///222............---,,,++++++------,,,,,,,,,,,,------//////......------------........................---------............///////////////////////////000000//////000111222222111111222222222222222333666888;;;>>>BBBEEEGGGIIINNNQQQTTTVVVTTTRRRQQQPPPOOOQQQ\\\rrrvvvxxxlll}}}lll]]]LLLDDDAAA@@@AAACCCCCCJJJTTT___ooowwwnnnbbbZZZOOOFFF@@@===999666666777777777888:::===???EEEGGGIIIHHHEEECCCCCCEEEEEEDDDBBB???<<<:::;;;======;;;:::888888:::<<<===DDDHHHPPPYYY______[[[XXXSSSZZZ```mmmvvvuuu{{{|||}}}~~~|||{{{|||{{{zzzyyytttrrrpppppprrrtttuuuuuuqqqpppooonnnlllkkkjjjiiikkkkkkkkkkkkkkkjjjiiihhhffffffgggiiilllnnnnnnnnnkkkhhhdddeeehhhkkkkkkiiigggeeedddccccccaaa^^^[[[TTTNNNDDD===999888777777777777666666666666777777777777777777777777888888666666777777666666555444444444444444444444444444555444444444444333333333111111111111111111111111111111222222222222222333444444444444444555555666666777999::::::;;;===???AAABBBDDDGGGJJJMMMOOOQQQVVVZZZ___dddiiinnnsssvvvzzz}}}}}}uuuooollljjjjjjnnnuuu}}}|||~~~~~~~~~xxx___NNNFFF>>>>>>???888444333222111000000000000000000000000000///..............................---------.........//////,,,111222///---///000...---.........---,,,,,,+++......------------........................------........................---------............///////////////////////////000000000000000000111222111111222222333333333333666888;;;@@@CCCFFFHHHIIIPPPRRRUUUUUUSSSPPPOOONNNJJJPPP```zzzzzzuuu{{{uuu|||bbbUUUHHHCCCBBBAAABBBCCCGGGNNNYYYfff{{{wwwmmmbbbZZZNNNFFF@@@===999666666666666666777999;;;<<>>;;;::::::<<<:::888777666777999<<<>>>FFFKKKSSS]]]cccddd```\\\VVV[[[eeexxxuuuwww~~~~~~}}}{{{{{{{{{{{{{{{yyyvvvtttssstttuuuvvvvvvuuuqqqppppppooonnnmmmllllllllllllllllllkkkkkkjjjiiihhhhhhhhhkkknnnqqqqqqqqqppplllhhhgggjjjmmmmmmmmmjjjhhhfffeeedddbbb___]]]WWWPPPGGG>>>:::999999999666666666666666777777888777777777777888888888888666777777777777666555555444444444444444444444444333333333222222222111111111111111111111111111111111111222222222222222222333333333333333444555666444666888999888999;;;<<<>>>???AAACCCFFFHHHJJJKKKNNNRRRWWW\\\```eeejjjnnnrrrvvv|||{{{uuuooojjjgggkkkqqqyyyxxxyyy~~~eeePPPFFF=========666555444333222111000000000000000000000000///.............................................---------+++,,,+++))),,,111000+++,,,------......------,,,///......------......///------.........------,,,,,,,,,,,,,,,,,,,,,,,,,,,---------............///////////////////////////111000000000000000111111111111222222333444444444333666;;;AAAFFFJJJMMMNNNQQQSSSTTTSSSQQQNNNLLLLLLGGGOOObbb|||zzzwwwwww}}}mmmXXXMMMCCCBBBDDDCCCDDDEEEJJJRRR\\\lllwwwmmmbbbZZZOOOFFFAAA===999666666555555555777999999:::>>>???@@@@@@????????????@@@AAA@@@===:::999999:::888777555555777;;;>>>AAAFFFKKKTTT^^^dddfffccc```]]]```nnnsssyyy~~~~~~|||{{{|||||||||{{{xxxwwwvvvwwwxxxxxxvvvuuuqqqpppppppppooooooooonnnllllllmmmmmmmmmlllkkkkkkkkkkkkkkkmmmpppssstttssstttpppkkkjjjllloooppppppnnnllliiigggfffdddaaa^^^[[[TTTIII@@@;;;999999999666666666666666777888888666777777777888888888888777777777777777666555555555555555555555555555555222222222222111111111000111111111111111111111111222222111111111111111111111111111111222333555555333555777777777777888999;;;<<<===???AAADDDEEEFFFGGGJJJOOOSSSXXX]]]bbbfffiiimmmttt{{{{{{ssskkkfffhhhlllsss~~~{{{vvv{{{oooWWWJJJ???===<<<555555555333222111000000000000000000000000///......................................................,,,,,,***)))+++000///***++++++,,,---...............------,,,,,,------...+++,,,---......---,,,+++,,,,,,,,,,,,,,,,,,,,,,,,---------............///////////////////////////111111000000000000111111111111222222333444444555444888===CCCIIIMMMOOOQQQQQQSSSSSSRRROOOKKKJJJJJJIIIPPPbbbyyytttuuu|||xxxcccQQQGGG@@@AAAEEEEEEEEEFFFMMMTTT^^^ooowwwmmmcccZZZOOOFFFAAA===:::777666555444555777888999888;;;<<<=========<<<<<<<<>>@@@AAABBBCCCFFFJJJNNNRRRWWW]]]aaabbbgggnnnvvv{{{wwwmmmeeefffhhhnnnyyywwwxxxxxx^^^NNNBBB???>>>555666555444222111000000000000000000000000//////...////////////////////////---------.........//////...///...***+++......*********,,,---.../////////---,,,,,,++++++,,,,,,---***+++,,,---------,,,+++........................---------.........//////////////////////////////111111000000000000000111111111222333333444555555999<<>>888:::<<<;;;333333333333444444555666555555666777777777777777777777777777777666555555444444555555555555444444555666666444222000000111111111222222222333333333222222222222111111000000000000000000000000000000222222333333444555666666555666777888:::<<<======@@@AAACCCFFFIIIMMMPPPRRRVVV\\\eeemmmsssxxx{{{~~~}}}rrrgggbbbccckkkxxx{{{iiiRRREEE???:::777555444333222111111000111111111111111000000000000------......//////000000111000...,,,,,,,,,...//////,,,)))))),,,...---,,,------------------------...------,,,,,,,,,------------++++++++++++------000000//////............////////////////////////////////////000000000000000000000000111111111111000111333333333555777999<<>>;;;999999999888666555555666888999:::999777777777888:::;;;999;;;<<<<<<:::888777888555777999:::;;;===@@@BBBEEEHHHNNNUUU\\\aaaccceeeooozzz~~~||||||}}}}}}}}}|||zzzxxxwww{{{{{{||||||{{{{{{zzzyyywwwvvvttttttuuutttrrrpppnnnnnnnnnnnnnnnnnnmmmmmmnnnqqqtttuuuvvvwwwyyy{{{}}}{{{yyyxxxxxxyyy{{{}}}|||wwwrrrppppppnnnjjjeeehhhaaaRRRBBB::::::999666777666555444333333333333555555666777777777777777666666777777777666555555444555555666666555555444555555666444222111111222111222222222222333333333222222222222111111111000111111111111111111111111222222333333444555555666444555666777999:::;;;<<<===>>>???BBBEEEHHHKKKMMMPPPUUU]]]dddjjjoootttwww}}}ttthhhcccccciiivvv}}}qqqXXXHHH???;;;:::777666555333222222222222111111111111000000000000.........///////////////111000...,,,,,,---...//////,,,******,,,...---,,,------------------------...------,,,,,,---------------,,,++++++,,,------/////////.........------////////////////////////////////////000000000000000000000000111111111111000111333333333444777999>>>BBBHHHJJJJJJKKKOOOSSSVVVUUUQQQLLLFFFEEEHHHKKKWWW```iiimmmqqquuuuuurrrvvvyyyuuu___OOODDD@@@???AAADDDFFFJJJPPP]]]jjj||||||vvvggg___SSSHHH@@@<<<999888777777666555555666777888888777666666666777999:::999:::<<<;;;999777777888777999;;;<<<<<<>>>AAACCCEEEIIINNNSSSXXX]]]bbbeeesss~~~zzzyyyzzz{{{{{{{{{yyyxxxwwwyyyzzz{{{{{{||||||{{{{{{yyyxxxwwwwwwwwwvvvtttrrrpppppppppoooooonnnnnnmmmpppsssvvvxxxzzz{{{}}}{{{wwwvvvvvvuuuqqqmmmllleeeWWWFFF===:::777333888777666555444444444555555555666777777777777777666777777777777666555555444555555666666555555444333444555444222222222333222222222222333333333333222222222222111111111111111111111111111111111111222333333444444555555555444444555666777888999:::999:::;;;===???AAADDDEEEHHHLLLRRRXXX^^^dddiiimmmrrrvvv|||wwwkkkeeedddhhhrrr|||}}}bbbMMM@@@======888777666555444333333333111111111111000000000000///////////////.........000///...---------...///...,,,++++++,,,------,,,---------------------------------,,,,,,------...------,,,,,,,,,,,,------.........---------------////////////////////////////////////000000000000000000000000111111111111000222333333333444777999AAAEEEIIIKKKLLLMMMPPPTTTRRRRRROOOJJJDDDEEEKKKRRR```gggmmmooopppuuuxxxyyy}}}~~~jjjWWWJJJBBB??????BBBDDDGGGNNNUUUbbbrrr}}}yyykkkcccWWWKKKBBB===:::888444333333333333444555555777777666666666777888999888:::;;;:::888777777888999:::===>>>???AAADDDGGGHHHKKKOOOQQQSSSYYYaaaggguuu~~~{{{yyywwwxxxyyyzzzzzzzzzyyyxxxwwwxxxyyy{{{||||||||||||{{{zzzyyyyyyyyyxxxvvvtttrrrqqqqqqoooooonnnnnnnnnrrrtttxxx{{{|||~~~}}}zzzzzzzzzyyyvvvtttooohhhYYYGGG>>>;;;999555777666555555555777888:::555555666777777777777777888888888888888777777666555555666666666666555555222444555444333333444555222222222333333333444444222222222222222222222222222222222222222222222222333333333444444444555555333333444555666666777777777777888999:::<<<===>>>BBBEEEIIINNNSSSYYY___ccciiimmmtttzzzzzznnngggdddeeemmmvvv}}}nnnSSSCCC>>>???999888777555444333333222111111111111000000000///000000//////......------000///......---...//////------,,,,,,------------------------------------------,,,,,,,,,---......---------,,,,,,---------------------------------////////////////////////////////////000000000000///000000000111111111111111222222222333444888;;;DDDGGGKKKMMMNNNOOORRRTTTPPPPPPNNNIIIEEEHHHSSS\\\fffmmmttttttvvv|||ttt```QQQHHHBBB@@@@@@CCCFFFIIIQQQZZZhhh{{{~~~{{{pppggg[[[NNNEEE>>>:::777333333333333333444555555777777777777777888888999888999999888777666777999999;;;>>>AAACCCFFFJJJMMMOOORRRTTTSSSRRRWWWbbbkkkyyy}}}zzzyyyxxxwwwxxxyyyzzz{{{zzzyyyxxxuuuvvvxxxyyy{{{||||||||||||{{{zzzzzz{{{zzzxxxwwwtttsssrrrpppoooooooooooosssvvvzzz|||~~~~~~}}}|||{{{zzzzzzxxxwwwqqqiiiYYYHHH???>>>>>>;;;:::999777666666777999:::555555666777777777777777999::::::::::::999888888555666666666666666666555222444555555333333444666222222333333333444444444222222222222222222222333222222222222222222222222333333333444444444444444333333333444444555555555666666666777777999:::;;;>>>@@@CCCGGGJJJPPPVVVZZZ```eeelllsssxxx|||}}}qqqjjjeeedddiiipppwwwyyy]]]HHH@@@???999888666555333222222111111111111111000000000///000000//////......------//////........./////////,,,---......------------------------------------,,,,,,,,,,,,,,,---...///------------------------------------------------////////////////////////////////////000000000000///000000000111111111111111222222333333666:::>>>GGGIIILLLNNNOOOQQQRRRTTTPPPPPPMMMIIIGGGMMMXXXbbbiiipppwwwyyy~~~}}}iiiWWWKKKFFFCCCAAABBBFFFHHHLLLVVVaaarrr~~~|||tttkkk^^^QQQGGG???:::777555555555666777777777888666777777777888888888888777888888777666666777999999<<<@@@DDDHHHLLLRRRUUUZZZ]]]]]]XXXTTTYYYfffrrr|||}}}}}}{{{yyywwwwwwwwwwwwxxxyyyzzzzzzyyyxxxxxxtttuuuvvvxxxyyyzzz{{{{{{{{{{{{zzz{{{||||||{{{yyyvvvuuutttrrrrrrrrrssstttwwwyyy}}}~~~~~~}}}|||{{{zzzzzzyyyrrrkkk\\\MMMEEEDDDDDDAAABBB???<<<888555555666666555555666777777777777777:::::::::::::::999888888555666666777777666666555333444555555444333444666333333333333444444444444222222222222333333333333333333333333333333333333444444444444444444444444333333444444444444444444666555555666666777888999;;;===@@@BBBDDDHHHMMMPPPVVV[[[aaahhhmmmrrrvvvyyytttlllfffcccfffkkksss}}}hhhPPPCCC???999888777555333222111111111111111111000000000000///////////////.............../////////000000000,,,---//////---,,,---...------------------------,,,,,,,,,,,,---......///------............---------------------.........////////////////////////////////////000000000000000000000000111111111111111222333333555999>>>BBBIIIJJJLLLNNNPPPRRRRRRSSSRRRPPPLLLKKKNNNWWWbbbjjjppptttxxx{{{qqq___OOOEEECCCAAAAAADDDHHHKKKQQQ]]]iii~~~}}}wwwnnnaaaTTTIII@@@:::666555555666777888888888888555555666666777777777666777777777666555555777999888;;;AAAFFFLLLRRRYYY]]]fffiiihhh```YYY]]]lllzzz}}}vvvppptttwwwwwwuuutttuuuwwwvvvwwwxxxxxxxxxwwwvvvuuussssssuuuvvvxxxxxxyyyyyyzzzyyyyyy{{{}}}~~~}}}{{{zzzyyywwwvvvvvvwwwxxxyyy{{{}}}}}}|||||||||sssnnncccUUUNNNKKKHHHCCCEEEBBB>>>999666555555555555555666777777777777777888888999999888888777666666666777777777777666666444555666555444333444555333333333444444444444555222222222333333333444444444444444444444444444444444444444444444444444444444444444444444444444444555555444555666777888888888:::<<<===???AAADDDFFFKKKOOOTTTZZZ___dddjjjnnnvvvxxx|||uuummmgggbbbccchhhnnnyyytttYYYGGG???;;;:::888666444333222222111111111111000000000000.........///////////////......///000000000000000+++...000000...,,,---...------------------------,,,,,,,,,,,,---...//////,,,---...//////...---,,,------........./////////////////////////////////////////////000000000000000000000000111111111111111222333444666;;;AAAFFFKKKKKKLLLNNNQQQRRRRRRRRRQQQNNNLLLQQQ\\\kkkwww}}}~~~||||||}}}jjjYYYIIIAAAAAA@@@@@@DDDIIINNNUUUbbbooo~~~}}}xxxpppcccUUUJJJAAA:::666333444555666777777777777333444555555666666555555777777777666555555777999777;;;AAAHHHNNNVVV]]]bbboooqqqooofff^^^aaaqqqyyyooojjjiiinnnssstttrrrrrrtttxxxuuuvvvwwwwwwwwwvvvtttsssrrrssstttvvvwwwwwwxxxxxxyyyyyyyyy{{{}}}~~~}}}|||{{{zzzyyyyyyzzz|||}}}~~~~~~~~~~~~sssqqqhhh]]]UUUPPPJJJCCCDDDAAA===999666666777888555666666777777777777777777777777777777666555555666666777777777777666666555666777666444333444555333333333444444444555555222222222333333444444444444444444444444444444444444444444444444444444444555555444444444444333333444444444444555666777888555777999:::;;;<<<>>>@@@CCCFFFKKKPPPUUU[[[aaaeeelllooosssxxx|||}}}vvvnnngggbbbbbbgggiiittt|||}}}|||```JJJ???===<<<:::888666444444333111111111111000000000000---.........//////000000......///000000000000000+++...111000...,,,---...------------------------+++++++++,,,---...///000,,,---...//////...---,,,........./////////000000////////////////////////////////////000000000000000000000000111111111111000222333444777===DDDIIIKKKKKKLLLNNNQQQRRRRRRQQQMMMKKKLLLWWWjjj~~~~~~sss```SSSIIIBBB@@@DDDAAABBBHHHNNNWWWiiizzz}}}|||wwwpppcccWWWMMMDDD===:::666666666666666777888888:::999777555555666888999<<<:::777555444555777888888<<>>;;;999777555555555777777777777888888888888888888888888888888888888888888777666666666666666888888777444333333555777222333444666666777777666444444444444444444444444444444444444444444444444444444555555555555444444555555555666555555444444333333333444444555555555666666777999:::;;;<<<===BBBBBBCCCFFFJJJOOOTTTWWW```ccchhhmmmrrrwww}}}~~~sssjjjfffffffffiiiqqq{{{~~~iiiRRRFFF>>>:::888999888444333555222222222111111111111000000000000000000000000000000000000000000000000000000000//////.........---------------------------////////////////////////.........///////////////...............///000000////////////////////////////////////000000000000///000111222222111000///111333666777999===EEEKKKLLLNNNQQQUUUWWWVVVRRROOONNNLLLSSSfff~~~jjjXXXMMMFFFAAA@@@DDDCCCGGGNNNTTT^^^qqq}}}wwwooocccWWWMMMDDD>>>:::555555555555555666666777999888777777666777888999;;;:::888666555666666777777;;;???BBBFFFNNNZZZbbbooommmhhhaaa^^^fffvvv~~~nnnbbb\\\YYYVVVTTT\\\```fffjjjlllnnnqqqsssuuuuuuttttttssssssttttttsssssstttttttttttttttsssvvvwwwxxxzzz{{{}}}~~~}}}~~~~~~~~~~~~nnnjjj___QQQHHHFFFCCC>>>AAA???===:::999888777777888888888888777777777777888888888888888888888888888888777666666666666666666777777555444444666888333333444555555555555555444444444444444444444444444444444444444444444444333444444444444444444333444444555555666555555555444444444444444444555555666666777888999:::;;;;;;======>>>AAADDDHHHLLLOOOWWWZZZ___ccchhhmmmssswww|||vvvnnniiigggfffhhhnnnvvv~~~|||qqqYYYIIIAAA<<<::::::888444333555222222222111111111111000000000000000000000000000000000000000000000000000000/////////............------------------------////////////////////////............------------...............///000000////////////////////////////////////000000000000000000111222222111000///222333555888;;;@@@FFFJJJLLLNNNRRRUUUVVVUUURRRPPPNNNQQQ]]]sssxxx```PPPHHHDDDBBBBBBCCCGGGNNNTTT[[[hhh}}}}}}vvvooocccXXXMMMEEE>>>:::444444444444444555666666777888888999999888888888999999888777777666666666777999<<<>>>AAAGGGPPPWWWaaa^^^ZZZWWWXXX```kkksssvvvkkk[[[OOOKKKLLLNNNOOOWWW[[[aaagggjjjmmmppprrrvvvuuuuuuuuuttttttssssssrrrrrrrrrrrrrrrrrrrrrrrrttttttvvvxxxzzz{{{}}}~~~{{{}}}~~~{{{mmmgggZZZLLLDDDBBBAAA>>>BBB@@@>>><<<;;;:::::::::999999888888777777666666888888888888888888888888888888777666666666777777555666777777666666777888444444444444555555555444444444444444444444444444444444444444444444444444333333333444444333333333333444555666666666666666555555555555555444444444666777777777888888888888:::::::::<<>>DDDGGGIIIMMMOOOSSSUUUVVVTTTRRRPPPPPPZZZlllqqqYYYLLLFFFDDDDDDFFFCCCIIIQQQXXX```rrr~~~{{{uuunnncccXXXNNNEEE>>>999555555444444555555666777666777999;;;;;;:::999888888888999999999777666555777888:::;;;===AAAGGGKKKOOOLLLJJJJJJNNNUUU[[[^^^aaaXXXLLLCCCBBBFFFKKKNNNSSSWWW^^^eeekkkooossstttyyyyyyxxxxxxwwwvvvuuuuuuqqqqqqqqqppppppppppppppprrrssstttuuuwwwxxxyyyzzzzzz|||~~~xxxsssiiiYYYKKKDDDBBBAAA???AAA@@@>>><<<;;;;;;<<<<<<;;;::::::999888777666666888888888888888888888888888888777777666777777888666777999999777666666777555444444444555555666666555555555555555555555555555555555555555555555555333444444555555444444333333333444666777777777777777666666666555555444444777777777777777666666666:::::::::;;;<<<>>>@@@AAABBBDDDGGGJJJMMMPPPUUUXXXbbbfffkkkppptttwww{{{~~~{{{rrrlllhhhffffffkkkuuukkkPPPFFF???:::::::::777444555222222222111111111000000///////////////////////////////////////////////////////////////.................................////////////////////////...---------------------//////............///000////////////////////////////////////000000000000000000111111111222111111555444555:::BBBGGGIIIIIINNNQQQTTTVVVUUUSSSQQQQQQRRRccc}}}}}}}}}jjjTTTHHHDDDCCCDDDFFFDDDKKKSSSYYYfff}}}|||yyytttnnncccXXXNNNFFF>>>999666666555555666666777888666888:::<<<<<<;;;999888888888:::;;;:::999777666888888999:::;;;===@@@CCCBBB@@@???AAAFFFKKKMMMNNNMMMHHHCCC@@@AAAEEEJJJMMMNNNRRRYYYbbbjjjqqqtttvvvzzzzzzzzzyyyxxxvvvuuutttppppppooonnnmmmmmmnnnnnnqqqqqqrrrsssttttttuuuuuuyyy{{{}}}}}}vvvwwwjjjXXXKKKDDDAAA@@@??????>>><<<;;;;;;;;;<<<===<<<<<<;;;:::999888888777777777777777777777777777888888777777777777888888888999;;;:::777666555666444444333333333444555666555555555555555555555555555555555555555555555555555555666666666666555555333444555666777777777777777777777666666555555555777777777666666666666555999999999:::;;;<<<<<<======???AAACCCDDDGGGJJJMMMQQQUUUZZZ```eeejjjooorrrtttwwwzzz|||}}}wwwnnniiifffeeehhhppp~~~tttVVVGGG???999:::;;;888666666222222222111111111000000////////////////////////////////////////////////.........///////////////........................////////////////////////------....../////////000//////............//////////////////////////////////////////000000000000111111111111111222222333555555777===EEEJJJKKKJJJOOORRRVVVVVVTTTRRRQQQQQQTTTkkk{{{vvvzzzsssaaaNNNDDDBBBAAABBBDDDEEEMMMUUU___ppp|||yyysssmmmcccYYYOOOFFF>>>999666666666666666777888888777888:::<<<<<<<<<;;;:::999:::;;;<<<<<<;;;999999999999::::::<<<===>>>???=========@@@CCCEEEFFFEEE??????>>>???AAAEEEHHHJJJIIILLLTTT^^^iiiqqquuuvvvyyyyyyyyyyyywwwuuurrrqqqooonnnmmmkkkkkkkkkllllllnnnoooooopppqqqrrrssssssuuuxxxzzz|||~~~|||vvvvvvfffSSSHHHBBB>>><<<======<<<;;;::::::;;;<<<=========<<<<<<;;;;;;::::::777777777777777777777777888888777777777888999999999:::;;;999777666777888777666444333222333444444555555555555555555555555555555555555555555555555666666777777777777666666444555666666777777777777777777777777777666666666777777777777666666666666777777777888888999999999:::<<<===>>>???@@@CCCEEEDDDGGGLLLQQQUUUZZZ___ccccccgggjjjllllllnnnssswww{{{}}}zzzpppkkkfffeeeffflllxxxaaaKKKBBB;;;;;;<<<:::777666222222222111111111111000000000000000000000000000000000000000000000000000.........///////////////........................////////////////////////........./////////000000000//////............///////////////////////////////////////000000000000111111111111111222333444444666:::@@@FFFKKKLLLLLLPPPTTTWWWVVVSSSQQQQQQRRRWWWqqqvvvrrrzzzjjjZZZIIIBBBBBBBBBCCCEEEEEEOOO[[[iii~~~~~~{{{sssmmmcccYYYPPPFFF>>>999666555555555555666777777888999:::;;;<<<<<<<<<;;;;;;;;;<<<<<<<<<<<<<<<;;;::::::;;;<<<>>>??????>>><<<>>>???AAAAAAAAAAAAAAA<<<===???AAABBBDDDFFFGGGGGGJJJRRR^^^jjjsssxxxyyyzzzzzzzzzzzzxxxuuurrrpppooommmkkkjjjiiiiiijjjkkkiiijjjlllnnnppprrrssstttqqqsssvvvxxxzzz|||~~~|||xxxsssppp___MMMEEEAAA===;;;<<<<<<;;;;;;:::;;;<<<>>>>>>>>>>>>>>>===============777777777777777777777777888888777777888888999:::888999999888777888:::<<>>>>>;;;777555222222222111111111111000000000000000000000000000000000000000000000000000............/////////000........................////////////////////////000000///......---,,,,,,000000///...............////////////////////////////////////000000000000111111000000111333444555333777===CCCGGGJJJMMMOOOQQQUUUXXXWWWSSSPPPPPPRRR___xxx}}}xxxuuu|||fffWWWHHHCCCDDDEEEFFFHHHFFFQQQ```qqq~~~rrrlllcccYYYPPPGGG>>>999555444444444444555666666888999:::;;;<<<<<<<<<<<<======<<<===============;;;;;;<<<>>>@@@AAA@@@???;;;>>>@@@AAA???======>>>???AAABBBCCCCCCDDDFFFGGGHHHLLLSSS```mmmwww|||||||||}}}}}}|||zzzwwwtttrrrnnnmmmkkkiiihhhhhhiiijjjeeefffiiilllooosssuuuvvvnnnpppsssuuuvvvyyy|||}}}~~~xxxvvvsssooolll[[[JJJDDDBBB>>><<<>>><<<<<<;;;;;;<<<===???@@@>>>>>>>>>>>>????????????777777777777777777777777888888777777888999::::::666777777777777999===AAAMMMJJJEEE@@@<<<999777777666666666666666666666666666666666666666666666666444444555555555555444444666777777777777666666555666666777777888888999999666777777777888888888999777888999999::::::999999666888888888777888:::;;;:::<<<>>>???@@@BBBEEEHHHHHHKKKNNNMMMKKKLLLQQQVVVUUUZZZaaaiiirrr||||||sssmmmcccccccccdddkkkzzzzzzYYYMMMCCC@@@@@@<<<777444222222222111111111111000000000000000000000000000000000000000000000000000---.........//////000000////////////////////////////////////////////////222111000...,,,***)))(((111000///...............////////////////////////////////////000000000000111111000000111333444666111888@@@EEEHHHJJJMMMPPPRRRVVVYYYWWWRRROOOPPPSSSggg}}}www}}}xxxxxx]]]RRRFFFAAA@@@@@@DDDHHHOOOTTTbbb||||||tttmmmbbbWWWMMMDDD>>>:::666666555555666777888999333666:::<<<======???@@@AAAAAA???======@@@AAA@@@???>>>>>>???AAAAAA@@@>>>>>>@@@AAAAAA@@@@@@@@@AAADDDCCCCCCDDDFFFGGGFFFEEEJJJMMMUUUaaannnyyy}}}zzzxxxwwwwwwvvvuuutttpppooommmkkkjjjhhhhhhhhhjjjkkkmmmoooqqqqqqqqqqqqqqqpppooooooqqqsssvvvxxx|||}}}{{{wwwxxxxxxsssooonnn```VVVJJJBBB@@@???===;;;???===;;;999999<<>>;;;999888666555555777888777666888888888888777777777777666777777999:::;;;<<<<<>>:::888777666555555666777777777999<<<>>>>>>>>>@@@AAAFFFHHHHHHFFFHHHJJJJJJHHHAAA@@@@@@AAACCCDDDCCCBBB???AAACCCDDDEEEEEEFFFFFFGGGFFFEEEFFFHHHJJJJJJJJJKKKOOOXXXeeerrr}}}}}}{{{yyyxxxvvvtttrrrooonnnmmmlllkkkjjjjjjjjjlllmmmooopppqqqrrrqqqqqqpppoooooopppqqqssstttuuuwwwxxxzzz}}}~~~}}}~~~}}}zzzwwwvvvwwwwwwsssppp^^^UUUIIIBBB@@@???===;;;???===;;;::::::<<>>>>>===???AAAAAA@@@@@@AAABBBCCCEEEIIIMMMTTT]]]fffllltttzzz{{{tttkkkeeeaaabbbfffooo}}}mmmXXXEEEAAA???:::777999555444333222111111111111000000000000000000000000000000000000000000000000000000000000000000000000///............---------............////////////////////////000000000000000/////////............000000000000000000000000000000000000000000000000000222333222111111222333777<<>>?????????AAABBBGGGKKKMMMNNNQQQTTTRRRMMMDDDBBBAAABBBCCCEEEDDDCCC@@@BBBFFFIIILLLMMMNNNNNNOOOMMMLLLLLLNNNPPPPPPPPPOOOSSS[[[hhhvvv~~~|||zzzvvvrrrooonnnnnnnnnmmmmmmmmmmmmmmmnnnooopppqqqrrrqqqppppppnnnnnnooopppqqqrrrrrrrrrqqqrrrtttwwwzzz}}}}}}~~~~~~|||yyyxxxxxxtttwwwuuuqqqtttzzzwwwoooZZZSSSIIIBBB??????===<<>><<<;;;;;;===???@@@BBBCCCEEEEEEEEEBBB@@@>>>===;;;999888888888777666777777888888888888888888666777777888999:::;;;;;;<<<<<<<<<;;;:::999888777555666666666666666777777777777777666666555555555666666666666666666666666555666666777777888888999777777777888888888999999888888999::::::::::::999;;;;;;<<<<<<<<<;;;::::::999999:::::::::;;;;;;;;;;;;;;;<<<<<<======>>>>>><<<===>>>===<<<;;;===???>>>@@@CCCFFFJJJPPPVVV[[[bbbiiiuuuyyymmmgggbbbaaaccciiivvv|||zzzqqq{{{bbbJJJBBB@@@<<<888777555444333222222111111111000000000000000000000000000000000000000000000000000000000000000000000000///............---------............////////////////////////000000000000////////////............000000000000000000000000111111111111111111111111111222333333222222444666;;;???EEEIIILLLMMMOOOPPPTTTVVVWWWSSSMMMNNN^^^ooo~~~~~~ttt]]]MMMGGGCCCCCCDDDEEEJJJPPPUUU^^^rrr}}}rrrjjj___TTTLLLEEE@@@===999888777555555555666777:::<<<======>>>???BBBDDDHHHOOOTTTVVV[[[```\\\SSSGGGEEEBBBAAAAAABBBBBBAAABBBDDDIIIOOOTTTWWWWWWVVVZZZWWWUUUUUUVVVXXXXXXXXXZZZZZZ^^^hhhvvv}}}zzzwwwrrrooommmnnnooooooppppppppppppppppppqqqrrrqqqpppooonnnlllnnnoooqqqrrrqqqpppoooooopppqqqsssuuuwwwyyyzzzwwwxxxzzzyyyvvvtttrrrrrrlllsssrrrkkknnnwwwuuuhhhWWWQQQHHHBBB???>>>>>>===>>>>>>=========>>>???@@@BBBDDDFFFGGGGGGFFFCCCBBB@@@===;;;999999888777555666666666666666777777777666777777888999:::::::::888999999999999888777777555555666666777777777888999888888777666555444444666666666666666666666666555555666666777777777888777777888888888999999999888888999::::::::::::999:::;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<=========;;;<<<<<<======>>>???????????????===;;;;;;===???>>>@@@CCCEEEGGGIIIMMMPPPUUU\\\gggsss~~~{{{nnnhhhbbb``````eeepppzzz~~~zzzlllxxxkkkOOOBBBAAA>>>999666555555444333222222222222000000000000000000000000000000000000000000000000///////////////////////////............---------............////////////////////////000000000000///////////////.........////////////////////////111111111111111111111111111222333222222333555777===AAAGGGKKKLLLMMMNNNOOOPPPTTTVVVQQQKKKRRRhhh|||lllWWWKKKFFFCCCDDDEEEFFFLLLRRRXXXcccwww}}}rrrjjj___SSSKKKDDD@@@===777666555555555777888999888999:::;;;===@@@EEEHHHPPPZZZ```cccjjjqqqkkk^^^NNNJJJEEEBBBAAAAAAAAA@@@EEEHHHNNNWWW___ccccccbbbcccaaa```aaacccfffgggffffffbbb```fffsss|||zzzxxxtttqqqmmmnnnppprrrssssssssssssqqqqqqrrrrrrqqqpppnnnmmmlllnnnpppqqqrrrpppnnnmmmppppppppppppqqqrrrssstttrrrtttuuutttqqqnnnmmmmmmgggnnnmmmfffhhhppplll```VVVQQQIIICCC???>>>>>>===>>>>>>>>>>>>?????????@@@BBBDDDFFFIIIIIIHHHGGGFFFAAA???<<<:::999888666555444444444555555555666666777777777888888999999:::999999999999888777666666555666666666777777888888999999888777666555555444777777777777777777777777666666666666777777777777888888888888999999999999888888999::::::::::::999::::::::::::;;;;;;<<<<<<============>>>>>>>>>>>><<<<<<======>>>??????@@@AAAAAA@@@>>><<<<<<>>>@@@@@@BBBDDDFFFGGGHHHKKKMMMPPPUUU\\\eeeqqq|||oooiiibbb```___bbbkkkuuu~~~~~~lllsss~~~sssTTTDDDAAA@@@;;;777666555444333222222222222000000000000000000000000000000000000000000000000///////////////////////////............---------............////////////////////////000000000000.........///////////////////////////////////////111111111111111111111111000111222111111333666888>>>BBBGGGKKKLLLMMMMMMNNNNNNRRRRRRMMMLLLXXXoooyyybbbRRRIIIEEEDDDEEEFFFHHHOOOWWWaaammm~~~ssskkk___SSSJJJCCC???<<<666555555555666777999:::555777999<<>>===>>>>>>>>>???@@@@@@@@@@@@???AAACCCFFFIIIKKKJJJIIIHHHBBB???<<<:::999888666555333333444444555555666666777777777888888888999999:::::::::999999777666666666777777777777777777888888888888777777666666666777777777777777777777777777777777777777777777777888888888999999999999:::888888999::::::::::::999999999999::::::<<<===>>>======>>>>>>>>>?????????======>>>>>>??????@@@@@@@@@@@@AAA???======>>>???AAACCCEEEFFFHHHJJJMMMPPPRRRTTTWWW^^^hhhvvvsssllleeeaaa___```hhhqqq{{{||||||}}}ooonnnrrr{{{[[[HHHBBBAAA===999666555444333222222222222000000000000000000000000000000000000000000000000000000000000000000000000///............---------............////////////////////////000000000000.........///////////////000000000000000000000000111111111111111111111111000111111111111333777:::???CCCHHHLLLMMMMMMNNNOOOQQQRRRPPPMMMRRRcccwwwlllXXXLLLFFFCCCCCCEEEGGGKKKTTT^^^mmm|||~~~tttlll___RRRIIIBBB>>>;;;777777666555555666777888555777:::>>>DDDMMMVVV\\\```kkksssuuuoooTTTOOOIIIEEEDDDEEEGGGGGGJJJPPP\\\mmm~~~}}}zzzqqqjjjdddiiivvv{{{yyywwwvvvoooqqqsssvvvwwwwwwwwwvvvttttttuuuuuuuuusssrrrqqqppppppqqqqqqqqqpppnnnnnnooonnnlllkkkkkklllnnnoooppppppnnnllliiihhhjjjkkkjjjhhhggghhhhhhfffaaa\\\VVVSSSMMMFFF@@@>>>===>>>===>>>@@@AAABBBAAA@@@???@@@BBBFFFIIIKKKLLLKKKJJJAAA>>><<<:::999888666555444444555666666777888888777777777777888888888888888888999999999888777777888888888777777777777777888777777777777777777777777777777777777777777777888888888888888888888888888888888999999999::::::888888999::::::::::::999::::::::::::<<<===???@@@===>>>>>>>>>>>>?????????======>>>??????@@@@@@AAA???AAABBBBBB@@@???@@@@@@BBBDDDFFFHHHKKKNNNSSSWWWYYYZZZ\\\```hhhtttxxxqqqhhhccc___^^^dddlllttt}}}|||~~~{{{uuummmjjjyyydddMMMCCCAAA>>>:::666555444333333222333333000000000000000000000000000000000000000000000000000000000000000000000000///............---------............////////////////////////000000000000............/////////000000000000000000000000000000000000000000000000000111222222222222555999<<>>===>>>===???AAABBBBBBAAA@@@???@@@BBBFFFIIILLLLLLLLLKKK@@@>>>;;;999999888777555555666666777888999999:::777777777777888888888888666666777888999999888888999999888888777777666666777777777777777888888888777777777777777777777777999999999888888888888888888888999999999:::::::::888888999::::::::::::999<<<;;;;;;<<<===???AAABBB===>>>>>>>>>>>>?????????>>>>>>>>>???@@@@@@AAAAAAAAACCCEEEEEEDDDCCCBBBCCCDDDFFFHHHKKKNNNSSSYYY]]]```aaacccgggmmmvvv}}}uuukkkeee___\\\aaahhhppp~~~~~~}}}xxxyyy|||ooohhhwwwkkkQQQEEEAAA>>>:::666666555444333333333333000000000000000000000000000000000000000000000000000000000000000000000000//////.........---------............/////////000////////////000000000000---.........//////000000000000000000000000000000////////////////////////222333333333333666;;;>>>BBBFFFKKKOOOQQQQQQRRRSSSVVVTTTRRRYYYpppmmmXXXKKKGGGBBBBBBEEEIIIMMMSSS```mmm{{{qqqhhh\\\OOOFFF@@@<<<:::777777666666666666666777;;;AAAEEEHHHPPP^^^lllrrrwwwYYYOOOGGGEEEFFFGGGIIIMMMRRR]]]kkkyyyvvvooonnnbbbgggkkkqqq|||~~~~~~{{{xxxwwwwwwvvvvvvwwwwwwxxxyyyuuuttttttuuuwwwwwwwwwvvvsssrrrrrrpppooonnnmmmlllkkkiiiggggggiiilllmmmnnnllllllkkkkkkkkklllmmmmmmhhhjjjnnnqqqqqqlllddd^^^\\\XXXRRRIIIAAA<<<<<<===@@@BBBDDDEEECCCAAA@@@@@@EEEFFFHHHIIIJJJJJJIIIIIIDDDAAA===;;;<<<<<<:::888666666666666777777777777777777666666555555444444666666777888999::::::;;;777777888888888888777777888888777777666666666555888888888888999999999999777777777777777777777777::::::::::::::::::::::::::::::::::::::::::::::::<<<<<<============<<<<<<<<<<<<===>>>>>>>>>>>>>>>===>>>@@@@@@@@@@@@CCCEEECCCEEEHHHIIIGGGDDDCCCCCCEEEFFFIIINNNUUU\\\bbbeeehhhjjjmmmppptttzzzwwwkkkddd```]]]```dddnnnyyywwwyyyrrrppp{{{wwwYYYHHHDDD@@@;;;888777666555444333333333333333222111000000111111111000000000000000111222000000000000000000000000........................,,,,,,---.../////////...//////////////////////////////000000000000//////111111111111000000000000111111111000000000000000111111111222555888<<<>>>DDDGGGJJJMMMOOOQQQSSSUUUQQQYYY^^^fff|||gggTTTHHHEEECCCCCCFFFKKKOOOWWWfffttt{{{qqqhhh\\\OOOFFF@@@<<<999777777666666666666777777;;;???BBBGGGTTTfffuuu|||tttXXXPPPIIIHHHJJJKKKNNNRRR[[[ggguuuuuufff___^^^\\\aaahhhppp}}}}}}}}}zzzxxxvvvuuuuuuuuuuuuvvvwwwwwwxxxwwwvvvvvvxxxxxxwwwvvvtttsssrrrqqqooonnnmmmmmmkkkjjjiiijjjlllnnnnnnnnnooooooooonnnnnnnnnoooooolllmmmppprrrrrrnnngggbbbbbb^^^VVVMMMDDD???>>>??????AAADDDDDDBBBAAA@@@@@@CCCDDDFFFGGGHHHHHHGGGGGGDDDAAA===<<<======;;;999999999999999999999999999;;;;;;;;;:::::::::999999888888888888999999999999777777888888888888777777888888777777777666666666777777777777888888888888999999999999999999999999::::::::::::::::::::::::::::::::::::::::::::::::<<<<<<<<<======<<<<<<<<<<<<<<<===>>>>>>>>>>>>>>><<<>>>?????????@@@CCCEEEFFFJJJNNNNNNLLLHHHFFFEEEEEEGGGIIINNNUUU\\\bbbfffjjjmmmrrrvvvzzzxxxmmmfffaaa^^^___bbbhhhsssuuusss{{{xxxbbbMMMEEEAAA>>>888777666555444333333333333222222111000000111111111111000000000000111111000000000000000000000000////////////////////////......////////////////////////////////////////////////000000000000//////111111111111111111111111111000000000000000000000222111222333666999===???FFFIIILLLOOOPPPRRRUUUWWWSSSYYYbbbtttqqq^^^NNNEEEDDDDDDDDDGGGLLLRRR\\\nnn~~~|||qqqiii\\\OOOFFF@@@;;;999777777666666666666777777;;;===@@@HHHZZZqqq~~~mmmYYYRRRNNNOOOQQQSSSVVV[[[gggssssssdddVVVPPPPPPVVV\\\dddooo}}}{{{yyyxxxttttttsssrrrssstttuuuvvvyyywwwvvvuuuvvvvvvuuusssqqqpppooommmlllkkkkkkkkkjjjjjjjjjlllnnnppppppooottttttssssssrrrrrrqqqqqqppppppqqqsssssspppkkkggggggcccZZZOOOFFF???>>>>>>>>>@@@BBBCCCAAA@@@@@@AAAAAABBBDDDEEEFFFEEEEEEDDDEEEBBB???>>>>>>>>>>>>===>>>======<<<;;;;;;;;;;;;;;;;;;::::::::::::999999::::::999999888888888888777888888999999888888777888888888777777777777777888888888999999999999:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::;;;;;;<<<<<<<<<<<<;;;;;;<<<<<<===>>>>>>>>>>>>>>>>>>???@@@@@@@@@BBBEEEGGGKKKPPPVVVWWWSSSMMMIIIHHHFFFGGGIIIMMMTTT[[[aaaeeeiiioooxxx~~~zzzpppjjjddd___]]]___aaakkk{{{uuukkkzzzoooTTTFFFAAA@@@999888666555444333333333333222111111000111111111333222111000000000000000000000000000000000000000000000000000000000000000111111000/////////000000//////////////////////////////000000000000//////111111111111111111111111000000000000000000111111222222222444777:::>>>@@@IIILLLOOOQQQSSSTTTVVVXXXWWW[[[jjjyyyfffVVVJJJCCCCCCDDDDDDGGGMMMTTTaaauuu}}}rrriii\\\OOOFFF???;;;999777666666666666777777888:::<<<@@@LLLaaawww~~~oooaaaYYYUUUTTTWWWZZZ\\\```eeeppp~~~rrreeeXXXNNNKKKMMMSSSXXX```mmm~~~{{{xxxxxxtttsssrrrqqqqqqssstttvvvxxxvvvrrrqqqppppppnnnmmmkkkjjjhhhgggffffffffffffjjjiiihhhjjjnnnqqqrrrsssxxxwwwwwwwwwvvvuuutttssstttsssrrrssssssqqqnnnkkkiiieee\\\PPPEEE>>><<<<<<===???AAAAAA@@@@@@@@@AAAAAABBBCCCEEEEEEEEEDDDCCCEEECCCAAA@@@@@@AAAAAAAAABBBAAA???>>>===<<<<<<<<<;;;;;;:::::::::999999999999999999999999999999999888888999999999999888888888888888888888888888888::::::::::::;;;;;;;;;;;;::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::;;;;;;;;;;;;::::::<<<<<<===>>>>>>>>>>>>>>>@@@AAABBBBBBBBBEEEHHHKKKPPPWWW^^^___YYYQQQLLLJJJHHHHHHIIIKKKPPPVVV[[[___dddmmm{{{|||tttnnnhhh```[[[[[[[[[eeetttyyyiiivvv{{{\\\GGG@@@@@@999888777555444333333333222222111111111111111222444333222111000000//////000000000000000000000000////////////////////////222222000////////////000//////////////////////////////000000000000////////////000000000000111111000000000000000111111111222222333555888<<<@@@CCCKKKMMMPPPRRRSSSTTTVVVXXXYYY```uuuooo]]]QQQGGGCCCCCCDDDDDDGGGMMMVVVdddzzz~~~rrrjjj\\\PPPFFF???;;;888666666666666666777888888999<<>>@@@AAA@@@@@@AAACCCCCCDDDEEEFFFFFFFFFEEEDDDEEEEEEDDDCCCBBBCCCDDDEEEEEEDDDAAA???>>>>>>>>>>>>?????????>>>======<<<<<<777888888999::::::;;;;;;999999::::::::::::999999888888888999999999999999999999999::::::::::::;;;999999999999999999999999;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::;;;;;;;;;;;;::::::<<<<<<===>>>>>>>>>>>>>>>???@@@AAAAAABBBEEEIIIMMMTTT\\\dddeee]]]SSSMMMKKKJJJIIIHHHHHHKKKPPPUUUXXX^^^kkk}}}~~~vvvqqqjjjaaa[[[ZZZYYYaaaoooooovvv|||~~~cccIII??????:::999888666444333333333222111111111111111222222444444222111000000000000000000000000000000000000........................111000000///............//////////////////////////////000000000000//////........./////////000000//////000000111111111111333333444666:::>>>BBBEEEKKKMMMPPPRRRRRRSSSUUUWWWYYYggg}}}fffVVVMMMFFFCCCDDDDDDDDDHHHOOOYYYggg|||~~~sssjjj]]]PPPFFF???:::888666555555666666777888999:::===DDDNNN^^^jjjkkkeee\\\ZZZ[[[^^^^^^[[[[[[]]]```aaaeeelllpppqqqvvv|||yyyeeeWWWNNNIIIIIILLLRRRWWW```ppp~~~yyyxxxtttrrrpppooooooqqqtttvvvsssooojjjeeecccaaa___]]][[[ZZZYYYXXXYYY[[[]]]___aaaaaabbbfffnnnuuu{{{~~~|||}}}~~~~~~}}}|||zzzyyyyyywwwtttsssrrrpppmmmkkklllhhh___SSSHHHAAA>>>>>>===>>>@@@AAA@@@AAACCCEEEEEEFFFGGGHHHHHHHHHGGGFFFEEEFFFFFFEEEDDDEEEGGGJJJHHHFFFCCCAAA@@@@@@AAABBBAAA@@@???>>>===<<<;;;:::777777888999:::;;;<<<<<<999::::::;;;;;;::::::999999999999999999:::::::::777777777777888888888888999999999999999999999999;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<;;;;;;<<<<<<===>>>>>>>>>>>>>>>===>>>??????@@@DDDIIIMMMXXXaaaiiihhh___TTTNNNLLLKKKIIIGGGFFFHHHLLLQQQTTT^^^mmmxxxssslllbbb[[[ZZZYYY___kkk{{{yyywwwssszzzwwwxxx|||lllNNNAAA@@@;;;:::888666555333333333111111111000111111222333444333222111111111111111000000000000000000000000........................//////000000000///......//////////////////////////////000000000000//////---......//////000000000/////////000111111222222333333555777;;;@@@DDDGGGLLLNNNPPPRRRRRRRRRTTTUUUYYYooouuu___QQQJJJDDDBBBCCCFFFFFFKKKSSS\\\iii~~~sssjjj]]]PPPFFF???:::777555555555555666777888999:::>>>CCCIIITTT]]]\\\WWWQQQNNNOOOSSSVVVXXXaaakkknnnpppwww~~~zzzeeeXXXPPPLLLMMMPPPVVV]]]jjj~~~yyyxxxrrrqqqnnnmmmmmmooorrrtttmmmhhhbbb\\\YYYVVVTTTRRROOOOOONNNNNNPPPSSSVVVYYYZZZ\\\aaajjjsss{{{~~~~~~{{{yyywwwuuussspppmmmjjjjjjfff]]]RRRGGGAAA??????===???@@@AAAAAABBBEEEGGGGGGHHHIIIIIIIIIHHHGGGGGGEEEGGGHHHGGGFFFGGGJJJMMMJJJIIIFFFDDDCCCCCCEEEFFFCCCBBB@@@>>><<<:::999888999999999::::::;;;;;;;;;::::::;;;;;;;;;;;;::::::999999999:::::::::;;;;;;888888888888999999999:::::::::::::::::::::::::::<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<======<<<<<<<<<<<<<<<===>>>>>>>>>>>>>>>??????@@@@@@AAAEEEKKKOOO]]]eeemmmkkk```UUUOOONNNIIIHHHEEEEEEGGGLLLQQQTTTdddtttyyytttmmmccc\\\[[[YYY^^^iiiwwwvvvlll~~~{{{yyyzzz~~~uuuVVVFFFDDD;;;:::999777555444333333111111000000111222222333333333222111111222222222000000000000000000000000........................---///111222333111///...//////////////////////////////000000000000///////////////000111222222222...//////000111111222222333444555888<<>>AAAEEELLLSSSTTTPPPMMMJJJKKKPPPTTT[[[iiiwww|||~~~{{{ggg[[[UUUSSSTTTWWWZZZdddtttzzzxxxqqqooommmkkkkkknnnqqqsssfffaaaZZZTTTPPPMMMKKKIIIFFFEEEEEEFFFHHHLLLPPPRRRTTTYYYbbbnnnyyy}}}{{{yyywwwuuuqqqmmmiiifffbbbYYYOOOEEE???======>>>???AAAAAAAAACCCFFFHHHGGGHHHIIIJJJIIIIIIGGGGGGFFFGGGIIIHHHGGGHHHKKKOOOLLLJJJHHHFFFEEEFFFHHHIIIHHHGGGFFFCCCAAA>>>===<<<;;;;;;::::::::::::999999:::;;;;;;<<<<<<;;;;;;:::999999999::::::;;;;;;;;;;;;;;;;;;<<<<<<<<<======;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<============<<<<<<<<<======>>>>>>>>>>>>>>>BBBBBBCCCCCCEEEIIIOOOSSS```hhhpppmmmaaaUUUPPPPPPHHHFFFEEEEEEHHHMMMSSSWWWjjjzzzyyytttmmmddd]]]\\\ZZZ^^^ggguuutttiii~~~{{{|||||||||\\\JJJGGG<<<;;;999777555444333222111111000000111222333333222222222111222222333333000000000000000000000000000000000000000000000000,,,///222555555333111/////////////////////////////////000000000000//////000111111222333333444444...//////000111222222222444444666888===BBBGGGJJJNNNPPPRRRSSSSSSSSSTTTVVVccc~~~iiiSSSJJJGGGBBBAAADDDEEEIIIPPPYYYeeesss~~~uuukkk\\\MMMBBB<<<999777555555666666777999:::;;;;;;:::===DDDGGGGGGJJJNNNKKKLLLPPPVVVYYY```sssxxxbbb\\\[[[WWWYYY```dddrrr}}}~~~sssnnnhhhggghhhhhheeeaaaZZZUUUNNNJJJGGGEEEAAA>>>@@@@@@AAA@@@AAAEEEJJJOOOVVVaaahhhsss~~~|||zzzvvvrrrnnnllljjjdddZZZOOOFFFAAA>>>>>>===???@@@AAABBBDDDHHHKKKJJJLLLMMMMMMKKKJJJJJJKKKJJJJJJJJJJJJKKKLLLMMMNNNLLLMMMLLLJJJHHHFFFGGGHHHMMMLLLJJJHHHDDDAAA>>><<<;;;;;;<<<<<<<<<;;;:::::::::;;;;;;;;;;;;:::999999777888999:::;;;:::999888;;;;;;;;;:::::::::999999999:::;;;;;;<<<<<<;;;;;;<<<<<<<<<<<<=========>>>========================<<<<<<======>>>>>>??????======>>>>>>??????@@@@@@???CCCGGGGGGEEEHHHPPPXXXlllmmmnnnkkkcccZZZSSSOOOKKKKKKJJJJJJLLLPPPWWW[[[lll{{{tttnnnhhhccc```^^^]]]aaannn}}}mmm|||gggMMMBBB@@@>>>;;;888777555333111333333333222222111111111555666666555222000000000111111111111000000000000111111000000//////......333...222<<<<<<222...333//////............//////111111000000//////......111111222222222222111111222222222222222222333333666888;;;===???CCCHHHKKKRRRPPPQQQTTTSSSPPPOOOQQQiii{{{yyycccOOOHHHFFFBBBBBBEEEGGGJJJQQQ\\\iiixxx}}}uuujjj[[[LLLCCC===999666666666666666777999:::;;;;;;:::===BBBFFFGGGKKKQQQMMMOOOUUU[[[___gggzzz{{{iiieeedddaaaccciiippp|||{{{qqqjjjccc^^^]]][[[WWWTTTPPPLLLFFFCCCAAA@@@>>><<<===>>>@@@AAACCCHHHOOOTTT\\\jjjsss~~~~~~|||zzzvvvrrrnnnllliiicccYYYOOOFFFAAA>>>======>>>@@@AAAAAACCCGGGJJJKKKMMMNNNNNNLLLKKKLLLMMMLLLLLLLLLLLLLLLMMMNNNOOOLLLMMMMMMKKKJJJIIIJJJLLLRRRQQQNNNKKKGGGCCC@@@>>>>>>>>>======<<<;;;;;;;;;:::;;;;;;;;;;;;;;;::::::888888999:::;;;::::::999;;;;;;;;;::::::::::::999::::::;;;<<<<<<<<<<<<;;;<<<<<<<<<=========>>>>>>=================================>>>>>>>>>>>>>>>>>>>>>>>>?????????@@@@@@@@@CCCFFFGGGGGGMMMXXXaaarrrsssrrrmmmdddZZZSSSOOOIIIJJJKKKKKKMMMRRRXXX]]]lll}}}}}}uuuoooiiiccc```^^^\\\___kkkxxxqqq}}}mmmRRREEEAAA>>>;;;888777666333222333333333222222222111111444555666555222111000111111111111111000000000000111000000000/////////...000...333======333...000000//////......//////000111000000000/////////...000111111222222111111000111222222222222333333333555888;;;===@@@DDDIIIMMMQQQPPPRRRTTTRRROOOQQQVVVjjjzzzppp\\\JJJEEEDDDBBBCCCGGGJJJMMMTTTaaappp~~~}}}uuuiiiXXXKKKDDD>>>999555666666666777888999:::;;;<<<:::<<>>===<<<>>>???@@@@@@BBBFFFIIILLLNNNOOOOOONNNMMMNNNOOOOOONNNNNNNNNNNNNNNOOOPPPLLLMMMNNNMMMMMMMMMOOOQQQWWWVVVSSSPPPKKKGGGCCCAAACCCAAA???===<<<;;;;;;<<<::::::;;;<<<<<<;;;;;;:::888999::::::;;;;;;::::::<<<<<<;;;;;;;;;::::::::::::;;;;;;<<<<<<<<<<<<<<<<<<<<<=========>>>>>>>>>========================?????????>>>>>>>>>>>>>>>????????????@@@@@@@@@@@@CCCFFFHHHJJJMMMXXXfffrrr|||{{{xxxpppeee[[[SSSOOOIIIJJJKKKMMMOOOTTTYYY]]]lllyyywwwpppjjjdddaaa^^^ZZZ\\\eeeqqq}}}yyyvvvZZZIIIBBB???;;;999777666444222333333333222222222222111222333555444222111111222111111111111000000000000000000000000////////////...---333<<<<<<333---...111000000//////000000111000000000000////////////000111111222222111111000111111222222222333333333555777;;;>>>BBBFFFKKKOOOOOOPPPSSSSSSOOOMMMTTT^^^qqq|||}}}|||{{{iiiWWWHHHDDDDDDBBBCCCIIIMMMQQQYYYfffuuu|||sssgggWWWKKKDDD???999444666666666777888999;;;;;;===<<<>>>BBBFFFKKKUUU___dddiiiooosssxxxzzz{{{}}}}}}xxxiiicccZZZRRRMMMJJJHHHFFFBBB@@@===;;;;;;;;;<<<<<<999<<<@@@CCCFFFNNNYYYaaajjj}}}zzz}}}}}}zzzvvvrrrnnnlllgggbbbYYYOOOGGGAAA>>>===<<<===>>>>>>???AAADDDGGGLLLNNNPPPPPPOOOOOOPPPQQQPPPPPPPPPOOOOOOPPPPPPQQQMMMNNNPPPPPPPPPQQQSSSVVVYYYXXXVVVSSSOOOLLLIIIGGGGGGEEEBBB???===<<<<<<===::::::;;;;;;;;;;;;::::::999999::::::;;;;;;<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;<<<============<<<<<<============>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>@@@@@@@@@??????>>>>>>>>>@@@@@@@@@AAAAAAAAAAAAAAAGGGIIILLLPPPXXXfffwww~~~sssfff[[[TTTPPPKKKLLLMMMOOOQQQTTTYYY]]]iiisss~~~yyyrrrmmmhhheee]]]YYYYYYaaalllxxx~~~bbbLLLDDDAAA<<<999777666444333222222222222222222222222000222444444222222222333111111111111000000000///000000000000///////////////...222888888222...///111111000000000000111111000000000000////////////000000111111111111000000111111111222222333333444444777<<<@@@DDDHHHMMMQQQPPPRRRTTTSSSMMMLLLXXXfffzzzxxxvvvyyy}}}dddTTTGGGEEEDDDBBBDDDJJJPPPVVV```nnn{{{{{{qqqfffWWWKKKDDD>>>999444666666777777888:::;;;<<>>AAAEEEIIIOOO[[[gggvvv|||zzzjjjeee^^^VVVOOOJJJFFFDDDBBBAAA???<<<::::::;;;<<<;;;???DDDFFFHHHPPP]]]fffrrr|||yyyxxx{{{}}}{{{wwwsssooommmeeeaaaXXXOOOGGGAAA>>><<<;;;<<<=========???BBBEEEJJJLLLNNNOOONNNNNNOOOQQQPPPPPPPPPOOOPPPPPPQQQRRROOOPPPRRRRRRRRRTTTVVVXXXWWWVVVVVVUUUSSSQQQOOONNNLLLIIIFFFBBB@@@?????????;;;;;;<<<<<<;;;;;;:::999:::::::::;;;;;;<<<===============<<<<<<<<<;;;;;;;;;<<<======>>>>>>==================>>>>>>>>>???????????????????????????AAAAAA@@@@@@??????>>>>>>AAAAAABBBBBBCCCDDDDDDEEEIIILLLQQQXXXcccrrruuuggg[[[TTTRRRNNNOOOPPPPPPQQQUUUZZZ]]]dddlllvvv}}}}}}{{{yyyyyy~~~|||wwwqqqmmmiii]]]YYYXXX^^^hhhttt|||~~~|||jjjPPPFFFBBB===999777666555333222222222222222222222222000111333333222111222333111111111111000000000///////////////000000000000111000000222222000000111111111000000000000111111////////////000000000000000000000111111000000000000000111222333333444444444888===BBBFFFJJJOOORRRRRRSSSUUURRRMMMPPP```qqqzzzxxx~~~^^^PPPFFFEEEEEECCCFFFMMMSSS\\\kkkxxx|||xxxmmmeeeXXXLLLCCC<<<888666777777777888999:::;;;<<>>???DDDIIIKKKMMMUUUcccnnn~~~rrrqqqtttwww|||~~~{{{wwwsssooommmddd```XXXOOOGGGAAA>>><<<:::;;;<<<<<<<<<>>>AAACCCFFFIIIKKKLLLLLLLLLMMMOOONNNNNNNNNNNNOOOPPPQQQRRRRRRSSSTTTTTTTTTUUUWWWYYYUUUVVVVVVVVVVVVVVVUUUTTTPPPNNNLLLIIIFFFEEEDDDDDD??????>>>>>>===<<<:::::::::::::::;;;<<<===>>>???>>>============<<<<<<<<<<<<======>>>>>>>>>>>>>>>=========>>>>>>>>>??????????????????????????????AAAAAAAAA@@@@@@@@@@@@@@@BBBBBBCCCEEEFFFGGGHHHIIIKKKPPPXXXcccppp~~~uuufff[[[UUUTTTQQQQQQPPPPPPQQQUUU\\\```eeemmmvvvzzz~~~|||vvvkkkhhheeegggmmmvvv~~~}}}wwwrrrmmm___[[[YYY]]]eeeppp|||~~~|||rrrtttVVVGGGCCC===999777666555444111222222222222333333333000111333333222111111222111111111111000000000000////////////000000000000222000///......///000222111000000//////000000111////////////000000000000///000000111111000000///000000111222333444444555666999???DDDGGGKKKPPPRRRUUUUUUUUUTTTRRRYYYmmmzzzWWWKKKBBBDDDEEEDDDIIIQQQUUUbbbuuu}}}xxxtttiiidddZZZMMMAAA:::888888777777777888999:::;;;<<<===>>>DDDJJJNNNUUUcccqqqzzzqqqqqqooojjj```UUUKKKFFFBBBBBBBBB???======???BBBCCCIIIOOOQQQSSS\\\kkkxxxuuugggiiimmmqqqwww~~~~~~{{{wwwsssooommmccc___XXXOOOGGGAAA===<<<999:::;;;;;;;;;<<>><<<;;;;;;::::::;;;<<<===???@@@>>>>>>>>>=========<<<<<<======>>>????????????>>>======>>>>>>>>>?????????@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@AAAAAAAAAAAAAAABBBCCCEEEGGGIIIKKKLLLMMMQQQXXXdddrrrttteee[[[VVVUUUPPPPPPOOONNNQQQWWW```fffoooxxxyyyrrrbbb^^^[[[\\\bbbjjjpppsssvvv}}}uuupppbbb^^^[[[]]]aaajjjyyy~~~}}}{{{jjjvvv~~~^^^HHHDDD>>>999777666666555111111222222222333333333000222333333111000111111111111111111000000000000.../////////000000000111000000///------///000000000//////......//////000.../////////000000000111//////000000000000/////////000111222333444444555777;;;@@@EEEIIILLLPPPRRRVVVUUUUUUVVVYYYfff}}}}}}{{{QQQFFF@@@CCCEEEEEEKKKSSSVVVfff|||{{{uuupppfffddd[[[NNN@@@888777:::777777777888999:::<<<<<<;;;===DDDJJJNNNUUUdddrrr{{{xxxqqqtttuuurrrjjj___UUUOOOCCCDDDDDDCCC@@@AAADDDHHHEEELLLRRRUUUXXXbbbrrr~~~kkk___ccchhhmmmttt|||~~~{{{xxxssspppmmmccc___XXXOOOGGGAAA===<<<999:::;;;;;;:::<<>>===;;;;;;:::;;;<<<>>>@@@AAA>>>>>>>>>>>>==================>>>???????????????>>>>>>>>>>>>????????????@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@AAAAAABBBBBBBBBCCCDDDEEEHHHJJJMMMNNNOOOWWW```ooosssdddZZZWWWVVVOOONNNMMMMMMQQQYYYccckkkzzz|||vvv```[[[WWWXXX^^^dddiiikkkrrr}}}wwwpppeee```]]]]]]___fffsss|||}}}|||fffooodddIIIEEE>>>:::777666666555111111111222222333333333111222333333111000000111111111111111000000000000.../////////000000111111...///000......000///...//////............//////.../////////000000111111//////000000000000/////////000000222333444555555888<<>>???FFFCCC@@@>>>>>>===<<<;;;???????????????>>>>>>>>>======>>>???@@@AAAAAABBBAAAAAAAAAAAAAAAAAAAAAAAADDDCCC@@@@@@AAABBBBBBBBBCCCEEEGGGIIIMMMSSSZZZ```eeeuuutttfff^^^ZZZYYYRRRSSSRRRRRRVVV___kkkuuuuuueeeaaa```dddeeecccccceeeppp}}}xxxmmmeee]]]ZZZ[[[aaannnzzz}}}zzzpppiiitttnnnXXXDDD>>>???999444555222444444444333333333222222111222222222222111000000000000000000000000000000////////////////////////111///...------...///111111111111000000000000000000000000000111111111111000111111111111222222222///000000/////////222444;;;???CCCGGGJJJMMMQQQTTTUUUVVVVVVYYYkkk~~~JJJDDDAAACCCFFFHHHNNNSSS___rrr{{{qqqgggWWWXXXVVVNNNCCC;;;888999888999::::::;;;<<<===>>>>>>DDDFFFJJJTTTWWW^^^nnn~~~||||||~~~|||wwwrrrmmmjjjgggjjjqqqzzz~~~xxxjjj^^^RRRLLLGGGFFFEEEEEEHHHNNNVVVWWWYYY^^^hhhvvvzzzcccVVVUUUXXXbbbfffnnnxxx}}}zzzxxxssslllggg```^^^YYYPPPFFF???<<<<<<<<<;;;;;;;;;;;;<<<======>>>???@@@BBBDDDEEEGGGGGGJJJKKKMMMNNNOOOQQQUUUXXXYYY[[[\\\[[[XXXUUUTTTTTTZZZ[[[[[[\\\]]]___bbbcccbbbaaa```___^^^]]]\\\\\\\\\TTTPPPQQQPPPKKKEEECCCAAA@@@>>>======???AAACCCEEECCC@@@>>>??????>>>===AAAAAA@@@@@@@@@@@@@@@@@@??????@@@@@@AAAAAABBBBBB@@@@@@@@@@@@AAAAAAAAAAAAEEEDDDCCCDDDEEEFFFGGGGGGFFFGGGJJJMMMRRRZZZbbbhhhtttuuuiiiaaa]]]\\\VVVWWWWWWWWW[[[eeerrr|||qqqllljjjmmmpppoooqqqtttzzzzzzqqqhhh___ZZZZZZ___kkkvvv}}}xxx|||tttiiimmmyyyvvvZZZFFF???AAA:::666666333444444444333333333222222222222222222222111000000000000000000000000000000////////////////////////000///...------...///000111000000000000000000000000000000000111111111111000111111111111222222222111222222111000111333555;;;>>>CCCHHHKKKNNNRRRTTTSSSUUUWWWaaaxxx~~~HHHCCCAAADDDGGGJJJPPPWWWbbbyyyyyynnncccTTTNNNLLLNNNIII===888;;;999999:::;;;<<<===>>>>>>>>>FFFJJJPPPZZZ[[[aaappp~~~{{{yyywwwvvvwwwzzz~~~}}}|||{{{xxxtttooojjjeeeccc```eeennnyyy{{{ooodddYYYRRRJJJGGGEEEEEEJJJPPPYYY[[[___eeeqqqppp[[[QQQRRRVVV___eeeooo|||~~~{{{wwwrrrkkkeee___]]]YYYPPPEEE===::::::<<<<<<;;;;;;<<<<<<===>>>===>>>???AAABBBDDDEEEFFFIIIKKKLLLMMMNNNQQQUUUXXXYYY[[[\\\[[[XXXVVVUUUUUUZZZ]]]______^^^^^^aaadddccccccccccccccccccccccccfff]]]WWWXXXYYYTTTLLLHHHCCCBBBAAAAAAAAACCCEEEGGGGGGDDDBBBAAAAAABBBAAAAAA@@@???>>>======>>>???@@@AAAAAAAAAAAAAAABBBBBBBBBAAAAAAAAABBBBBBCCCCCCCCCAAABBBCCCDDDFFFHHHIIIJJJKKKMMMQQQWWW^^^gggqqqxxxvvvkkkccc```___ZZZ[[[[[[\\\bbbmmm|||~~~zzzxxx||||||uuukkkaaa[[[XXX[[[fffqqq}}}vvvxxx}}}lllfffkkkttt{{{~~~ttt^^^IIIAAABBB<<<888888333444444444444333333333333222222222222222111111000000000000000000000000000////////////////////////000///...------...///000000000000000000000111111000000000000111111111111000111111111111222222222333333333222111222444666:::>>>DDDIIILLLPPPSSSUUUSSSUUU[[[kkkFFFBBBAAADDDFFFIIIQQQYYYiii~~~xxxmmmbbbSSSGGGDDDLLLLLL>>>777:::888999:::;;;===>>>???@@@???KKKQQQYYYbbbbbbgggvvv{{{yyyvvvuuutttsssrrrsssvvvyyy{{{}}}~~~{{{wwwuuuqqqlllfffaaa]]][[[[[[```iiisssxxxtttiii___^^^VVVMMMHHHFFFFFFKKKRRRYYY]]]bbbiiivvv{{{dddVVVPPPSSSXXX^^^fffuuu{{{wwwqqqjjjddd^^^___\\\SSSGGG>>>;;;;;;<<<<<<<<<<<<<<<======>>>======>>>@@@AAABBBDDDDDDGGGHHHJJJKKKLLLNNNRRRUUUWWWYYYZZZZZZXXXWWWVVVWWWZZZ___cccbbb___]]]```cccaaabbbbbbcccdddeeefffgggmmmccc\\\]]]___ZZZRRRMMMJJJIIIHHHGGGGGGHHHIIIJJJJJJGGGEEEDDDEEEEEEEEEDDDBBBAAA???>>>>>>???AAABBBBBBBBBBBBBBBBBBAAAAAAAAACCCCCCDDDEEEEEEFFFGGGGGGAAACCCEEEFFFHHHJJJMMMOOORRRVVV\\\dddmmmyyywwwllleee```___]]]^^^___bbbiiiuuuwwwmmmccc\\\XXXZZZcccmmm}}}uuuuuurrrccccccnnnyyy}}}mmmxxxdddMMMCCCCCC<<<888888333555444444444444333333333222222333333222222111000////////////////////////////////////////////////000///............///000000000000000000111111111///000000000111111111111000000111111111222222222333333333222111222444666;;;???EEEJJJNNNQQQTTTVVVSSSUUU___vvvEEEBBBAAADDDFFFIIIQQQZZZsss~~~xxxmmmbbbTTTEEE@@@HHHIII>>>555777777888:::<<<>>>@@@BBBCCCBBBOOOYYYaaakkkkkkooo}}}uuuqqqnnnmmmmmmmmmoooqqqtttwwwxxx|||yyytttqqqllleee___ZZZWWWUUUVVV[[[ccckkkoookkkbbbZZZ^^^VVVMMMIIIGGGFFFKKKRRRYYY___dddkkkyyyooo\\\SSSQQQUUU[[[aaalll}}}{{{wwwqqqjjjddd```aaa```WWWJJJ@@@<<<======<<<<<<<<<<<<===>>>>>><<<===>>>???@@@AAABBBCCCDDDEEEFFFGGGHHHJJJMMMPPPRRRTTTWWWXXXWWWWWWWWWXXXZZZ___dddddd```^^^___bbb___```bbbccceeegggiiijjjnnnfff```aaaccc^^^WWWSSSSSSSSSQQQPPPPPPPPPPPPQQQMMMKKKHHHGGGGGGGGGFFFEEEGGGFFFEEEDDDDDDDDDEEEEEEBBBBBBBBBBBBBBBBBBAAAAAACCCCCCDDDEEEFFFHHHHHHIIIFFFHHHJJJLLLMMMQQQVVVZZZ[[[```iiisss}}}xxxmmmeeeaaa___^^^aaadddiiirrrxxxoooeee^^^ZZZYYYaaajjjzzz~~~uuuttt|||xxxdddbbbooo|||qqqxxxlllRRRDDDBBB<<<888888333555555555444444444333333222333333333333222111111////////////////////////000000000000000000000000//////............////////////000000111111111111///000000000111111111111000000111111111222222222111222222222111222555777;;;@@@FFFLLLOOORRRTTTVVVRRRVVVeeeBBBAAABBBEEEGGGKKKTTT^^^{{{~~~xxxmmmbbbSSSGGG???BBBCCC<<<666555777888;;;>>>AAADDDFFFHHHGGGVVVaaakkkuuuuuu{{{zzzqqqllliiifffgggiiilllpppsssvvvxxx}}}yyyvvvrrrnnnggg```YYYTTTQQQPPPPPPTTT\\\cccfffddd^^^YYYYYYRRRLLLJJJHHHGGGJJJPPPXXXaaahhhooo~~~eeeXXXTTTRRRWWW^^^iiivvv{{{vvvqqqjjjeeeaaadddddd[[[MMMAAA>>>>>>======<<<<<<======>>>???======>>>???@@@AAABBBBBBBBBCCCDDDDDDDDDEEEHHHKKKLLLOOORRRTTTUUUVVVWWWXXXZZZ^^^bbbdddaaa______```___```bbbeeegggjjjkkklllmmmgggdddffffffaaa]]]\\\^^^]]]]]]\\\\\\\\\\\\\\\UUURRROOOLLLKKKJJJHHHGGGHHHHHHHHHGGGFFFEEEDDDCCCCCCCCCCCCCCCCCCCCCDDDDDDBBBCCCDDDEEEGGGHHHIIIJJJGGGIIILLLOOOQQQXXXaaaggglllrrr{{{uuukkkddd___\\\^^^bbbhhhpppzzzyyyrrriiibbb\\\ZZZ^^^eeerrrwwwtttxxxkkkfffqqq~~~{{{~~~vvvYYYGGGBBB;;;888888444555555555555444444444333333333333333333222222111000000000000000000000000000000000000000000000000/////////////////////////////////000111111222222000000000000111111111111000111111111111222222222000111222222222333666999===BBBHHHMMMPPPRRRTTTVVVQQQXXXnnn??????BBBGGGJJJOOOZZZfff~~~wwwkkk```QQQIII???;;;;;;;;;999666999:::===AAAFFFIIILLLNNNPPP```mmmxxxyyynnniiifffeeefffjjjnnnrrrvvvxxxzzz}}}~~~}}}{{{xxxvvvoookkkddd[[[TTTOOOMMMLLLLLLPPPUUUZZZ]]][[[WWWTTTRRRMMMJJJJJJIIIGGGIIIMMMUUU```iiiqqqppp]]]WWWWWWWWW\\\dddqqqzzzvvvqqqkkkfffaaaeeefff]]]NNNBBB>>>>>>===============>>>>>>???===>>>??????@@@AAABBBBBBBBBCCCCCCBBBBBBBBBEEEGGGFFFIIINNNQQQSSSUUUWWWYYYYYY\\\```bbbcccbbb___^^^^^^___aaadddgggjjjlllmmmllljjjiiikkkiiieeecccfffffffffgggggghhhiiijjjjjjccc```[[[WWWUUUSSSPPPNNNLLLLLLLLLLLLJJJHHHEEECCCDDDEEEEEEFFFFFFGGGGGGGGGDDDEEEFFFHHHJJJLLLMMMNNNKKKNNNRRRUUUZZZdddqqq{{{}}}yyyrrrjjjbbb\\\XXXVVVYYY___hhhqqq}}}}}}uuummmfff___YYYZZZ___hhhxxxzzzuuutttzzzwwwooouuu~~~yyyaaaKKKDDD<<<999:::666555555555555444444444444333333444444333333222111000000000000000000000000000000000000000000000000......////////////.........//////000111111222222000000000000111111111111000111111111111222222222///111222333333555999<<>>BBBHHHMMMSSS```lll~~~vvviii^^^OOOJJJ@@@666666;;;<<<777:::<<<@@@DDDIIIMMMQQQSSSZZZjjjxxxxxxnnniiieeehhhjjjmmmqqqvvvyyy{{{|||||||||}}}~~~}}}{{{yyyxxxnnniiiaaaXXXQQQLLLJJJIIIKKKNNNQQQTTTUUUSSSPPPMMMLLLIIIHHHJJJJJJGGGHHHKKKQQQ]]]hhhqqqwwwdddVVVVVVZZZ\\\ccclllvvvzzzvvvrrrlllggg```eeefff^^^NNNBBB===>>>===============>>>??????>>>>>>???@@@AAABBBBBBCCCBBBCCCCCCBBBAAAAAADDDFFFBBBFFFKKKOOORRRTTTWWWYYYYYYZZZ]]]aaadddccc```\\\\\\]]]___bbbeeehhhjjjkkkllllllnnnooolllggghhhmmmkkkkkkmmmoooqqqssstttuuuppplllgggbbb___\\\YYYWWWUUUVVVWWWVVVTTTPPPLLLJJJFFFFFFGGGHHHIIIIIIJJJJJJHHHIIIKKKLLLNNNPPPRRRRRRUUUYYY]]]bbbhhhuuuzzznnnkkkfff___YYYTTTPPPOOOSSSZZZdddooo{{{yyyqqqiii```XXXWWW[[[aaarrr|||uuuqqqtttwwwxxx~~~wwwttt{{{fffNNNEEE<<<:::<<<888666666555555555444444444333333444444333333222111000000000000000000000000000000000000000000000000......////////////.........//////000111222222222000000000000111111111111000111111111111222222222000111333444555777;;;>>>@@@EEEKKKPPPRRRRRRSSSTTTWWWbbb|||===???DDDIIIMMMVVVfffvvvxxxjjj]]]QQQGGG>>>;;;:::999:::<<<<<<>>>AAAFFFNNNVVV]]]aaajjjuuu|||nnniiiiiifffjjjooosssuuuwwwyyy{{{~~~{{{{{{{{{zzzvvvsssooohhh___YYYUUUQQQMMMIIILLLIIIJJJNNNNNNLLLKKKMMMHHHGGGEEEEEEFFFHHHKKKMMMOOOXXXeeetttlllaaaWWWVVVZZZ```hhhpppzzzvvvqqqjjjddddddfffeee]]]PPPDDD>>><<<===>>>>>>===<<<<<<>>>@@@>>>???AAABBBCCCBBBBBBAAACCCBBBBBBBBBBBBBBBBBBAAABBBDDDHHHKKKOOORRRTTTUUUWWWXXX[[[]]]^^^^^^]]]\\\______```aaaccceeefffgggkkkllllllllllllnnnqqqtttooorrrvvvyyyzzz{{{}}}~~~zzzvvvrrrmmmjjjgggccc```aaa]]]YYYXXXYYYWWWRRRMMMMMMLLLLLLMMMOOOQQQPPPOOORRRQQQQQQSSSVVVXXXYYYXXX]]]fffoootttwwwqqqggg___[[[VVVSSSRRRPPPLLLIIIMMMTTT]]]eeeooo~~~~~~wwwnnneee^^^ZZZYYYcccnnntttlllnnnzzz}}}rrr~~~}}}zzzyyyyyysssUUUEEE>>>:::999:::555555444333333333333444333222222111111222222333111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000111111222222333444444333222222111111222222333555444333333555888;;;>>>CCCFFFIIILLLQQQUUUWWWUUU[[[nnn???AAAEEEKKKOOOWWWhhhxxxzzzlll^^^QQQGGG>>><<<<<<:::;;;===???AAADDDKKKTTT^^^gggmmmuuupppiiihhhgggkkkppptttvvvwwwyyy{{{}}}{{{zzzzzzyyyvvvsssoooiiiaaa[[[XXXUUUQQQNNNKKKHHHGGGJJJJJJGGGFFFHHHEEEDDDCCCBBBCCCFFFIIIKKKPPPXXXcccppp}}}uuufff^^^XXXZZZ```hhhqqqyyyyyyuuuqqqjjjfffeeefffddd[[[OOODDD>>><<<===>>>>>>>>><<<===>>>@@@AAABBBCCCEEEEEEEEEEEEDDDDDDDDDCCCCCCCCCCCCBBBBBBCCCDDDGGGJJJNNNQQQSSSTTTVVVXXXZZZ]]]^^^___^^^]]]______```aaacccdddfffgggjjjlllnnnoooppprrruuuwwwuuuwww{{{}}}~~~|||yyywwwtttqqqooommmiiidddbbbbbb```[[[VVVUUUTTTSSSUUUXXXZZZZZZYYY[[[ZZZYYY[[[___bbbcccdddkkkrrrzzzuuueee[[[TTTQQQNNNLLLLLLKKKIIIGGGFFFMMMUUU]]]eeessszzzpppggg```\\\[[[aaalll}}}tttmmmnnnxxxwww{{{{{{[[[HHH@@@<<<999:::666666555444444444444555333222222111111222222333111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000222222222222222222222222333222222111111222222333555444333333555888<<<>>>DDDGGGKKKNNNRRRUUUVVVUUUaaattt~~~AAABBBGGGLLLQQQ[[[mmm}}}|||nnnaaaQQQHHH@@@>>>===<<<<<<>>>CCCEEEIIIQQQ]]]jjjwww~~~tttkkkhhhiiimmmqqquuuwwwxxxzzz|||}}}|||zzzzzzyyyxxxuuussspppkkkddd```___]]]YYYVVVNNNIIIGGGIIIHHHEEECCCDDDCCCBBBAAABBBCCCFFFHHHJJJPPPWWWaaalllvvvzzzsssjjjccc]]]\\\aaaiiiqqqzzz~~~xxxuuuqqqkkkgggeeeeeeaaaXXXMMMCCC>>>===<<<===>>>>>>======???AAABBBCCCEEEFFFGGGGGGFFFFFFEEEEEEEEEDDDDDDCCCCCCCCCCCCDDDFFFIIILLLNNNPPPQQQUUUWWWZZZ]]]___```````````````aaabbbccceeeffffffiiilllpppssstttwwwzzz||||||~~~}}}yyytttqqqpppmmmiiieeeaaa``````bbbfffiiijjjjjjjjjiiiiiikkkoootttwwwxxxzzzgggXXXPPPJJJHHHFFFFFFGGGHHHGGGFFFBBBGGGNNNTTT[[[fffuuu|||rrriiiccc___]]]___iiiyyyuuuooommmttt{{{~~~{{{aaaKKKCCC>>>;;;999777777666555555555555666333222222111111222222333111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000444333333222111111000000333222222111111222222333444444333444666999===???EEEIIIMMMQQQSSSSSSTTTVVViii{{{|||BBBCCCGGGMMMTTT___sssrrreeeSSSJJJAAA??????======@@@DDDFFFLLLWWWeeevvvxxxnnnjjjlllppptttxxxyyyzzz|||}}}}}}|||{{{zzzyyywwwuuutttrrrnnnjjjhhhhhhfffccc___VVVOOOJJJKKKJJJGGGEEEEEECCCCCCBBBCCCEEEGGGJJJKKKOOOUUU___jjjsssuuuooogggdddaaacccjjjqqqvvv~~~}}}wwwtttqqqllliiidddccc^^^UUUKKKCCC???>>><<<===>>>>>>===>>>???AAAAAACCCDDDFFFGGGGGGGGGFFFFFFFFFEEEEEEDDDCCCCCCCCCDDDEEEFFFHHHJJJMMMNNNPPPUUUWWW[[[^^^aaabbbbbbbbb```aaabbbdddeeefffgggggghhhlllqqqvvvyyy{{{~~~~~~{{{yyyvvvsssqqqpppqqqtttxxx|||}}}~~~}}}||||||nnn^^^QQQKKKFFFEEEDDDEEEFFFGGGGGGGGGDDDHHHMMMQQQVVV^^^iiirrr}}}ssskkkeee```]]]\\\eeetttwwwppplllnnnsss}}}fffMMMCCC@@@<<<888777666666555555555555555333222222111111222222333111111111111111111111111000000000000000000000000////////////////////////////////////////////////333222222222111111000000333222222111111222222333444333333444777:::>>>AAAGGGJJJPPPTTTTTTRRRTTTYYYppp~~~AAACCCHHHOOOWWWeee{{{uuuiiiWWWMMMCCC@@@???>>>???AAACCCGGGPPP]]]mmm|||qqqmmmppptttxxx{{{|||}}}~~~~~~|||zzzwwwvvvuuutttqqqnnnnnnpppoookkkhhh\\\SSSMMMMMMMMMJJJHHHHHHDDDDDDDDDEEEFFFHHHJJJKKKPPPTTT]]]hhhpppppplllhhhgggfffjjjrrrwww{{{|||wwwuuurrrmmmiiibbb___ZZZRRRJJJDDD@@@???<<<===>>>>>>>>>>>>@@@BBBCCCDDDFFFHHHIIIIIIIIIIIIFFFFFFFFFEEEDDDCCCCCCCCCEEEFFFFFFHHHJJJLLLOOOPPPVVVXXX[[[___bbbcccccccccbbbccceeegggiiijjjjjjjjjjjjnnntttxxx|||wwwdddVVVLLLHHHEEEEEEEEEEEEEEEFFFGGGHHHHHHJJJMMMPPPSSSXXX```fffsss{{{vvvnnnggg```\\\ZZZaaannn~~~|||ssslllkkknnnzzzzzzkkkPPPCCC@@@<<<888666555444444333333444444333222222111111222222333111111111111111111111111111111111111111111111111////////////////////////////////////////////////000000000111111222222222333222222111111222222333444333333444777<<<@@@CCCGGGJJJQQQVVVTTTQQQVVV___uuu~~~AAACCCIIIRRR]]]mmmyyylll\\\PPPEEE@@@???>>>@@@CCCCCCJJJUUUeeevvvuuurrrtttxxx|||{{{xxxvvvvvvtttrrrqqqrrruuutttpppmmm^^^UUUMMMMMMNNNLLLJJJJJJFFFFFFGGGGGGHHHIIIJJJKKKSSSUUU\\\gggmmmmmmkkkkkkkkklllqqqyyy}}}{{{xxxvvvsssmmmiii^^^[[[VVVPPPJJJEEEAAA???<<<===>>>>>>>>>???AAACCCFFFHHHJJJLLLMMMMMMMMMMMMHHHHHHGGGFFFEEEEEEDDDCCCGGGGGGGGGIIIKKKNNNQQQRRRWWWYYY]]]```cccdddddddddccceeehhhkkkmmmooooooooopppsssxxx|||nnn[[[NNNGGGEEEDDDEEEFFFFFFEEEFFFHHHJJJKKKLLLNNNOOOQQQTTTXXX\\\dddkkkuuu}}}{{{tttlllccc\\\YYY^^^hhhwwwxxxmmmkkkooowwwzzzzzzsssUUUEEE@@@===:::555555444333333333333333333222222111111222222333111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000//////000000111222222333333222222111111222222333444333333555888===AAADDDGGGIIIPPPVVVTTTQQQZZZhhh}}}~~~}}}AAADDDKKKVVVcccvvv{{{oooaaaTTTFFF@@@>>>===@@@EEEEEENNN]]]nnn~~~yyywwwxxx{{{}}}yyywwwxxxrrrqqqqqqsssvvvvvvrrrnnn```VVVMMMMMMPPPPPPNNNNNNMMMMMMMMMMMMNNNNNNOOOOOOTTTTTT\\\hhhpppqqqssswwwvvvvvvzzz~~~{{{yyywwwtttmmmhhhZZZWWWSSSOOOKKKFFFBBB@@@<<<===>>>???>>>???AAADDDHHHIIIKKKMMMOOOOOOOOOOOOKKKKKKJJJIIIHHHGGGFFFFFFHHHHHHIIIJJJMMMPPPSSSUUUXXXZZZ^^^aaacccdddddddddeeegggkkknnnrrrsssttttttwwwzzz}}}|||eeeSSSIIIFFFFFFDDDFFFHHHHHHHHHIIILLLOOONNNOOOOOOPPPQQQRRRTTTVVVYYY^^^eeelllpppsssvvvxxxvvvyyy}}}|||sssggg___YYY[[[cccqqq~~~pppnnnsssvvvsss}}}]]]HHHAAA>>><<<666666555444444444444444333222222111111222222333111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000000000000111111111111333222222111111222222333333333444555999>>>BBBEEEFFFHHHOOOVVVTTTQQQ^^^ooozzz~~~}}}{{{BBBEEEMMMYYYggg|||}}}qqqdddVVVGGG???======AAAEEEGGGQQQbbbuuuyyy{{{zzzzzz}}}zzzxxxxxxqqqppppppsssvvvuuuqqqmmmcccXXXOOOOOOSSSTTTSSSSSSTTTTTTTTTTTTTTTTTTTTTTTTSSSTTT\\\jjjuuuyyy~~~}}}{{{zzzyyytttmmmgggWWWUUURRROOOLLLHHHCCC@@@<<<===????????????BBBDDDFFFHHHJJJLLLMMMNNNNNNNNNNNNMMMLLLKKKJJJIIIHHHHHHIIIIIIJJJKKKNNNRRRUUUWWWYYY[[[^^^aaacccdddddddddeeehhhlllqqqtttvvvwwwwww}}}~~~sss]]]NNNHHHHHHIIIEEEHHHKKKLLLLLLMMMQQQUUUQQQQQQRRRRRRRRRSSSTTTUUUSSSWWW]]]cccggglllpppsssppptttzzzxxxkkkbbbYYYZZZ```nnnsssqqqwwwvvvlllcccJJJBBB???===777777666555555555555555333222222222222222222333111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000222222111111000/////////333222222222222222222333333333444666999>>>CCCFFFEEEGGGNNNVVVSSSQQQ```tttxxx}}}zzz~~~CCCIIIRRR]]]mmmxxxcccYYYJJJ???;;;<<>>BBBEEEIIIVVVnnn}}}jjjkkkuuu}}}||||||{{{zzzyyyxxxxxxyyyxxxvvvsssooommmlllllllllmmmnnnnnnrrrtttmmmdddYYYOOOIIILLLSSSXXX[[[^^^```cccdddccccccdddaaa\\\YYY]]]aaagggttt~~~|||{{{xxxoooeee[[[UUURRRSSSRRRMMMGGGFFFBBBBBBAAAAAAAAAAAAAAAAAAIIILLLOOOPPPOOOOOORRRTTTSSSSSSRRROOOLLLJJJJJJKKKOOOLLLMMMRRRVVVWWWZZZ^^^```cccdddeeejjjppppppmmmlllkkknnnttt}}}uuu^^^QQQLLLHHHGGGGGGFFFKKKNNNOOOSSS\\\bbbdddfff^^^WWWTTTSSSQQQRRRUUUWWW[[[bbbiiinnntttyyy}}}|||~~~{{{oooeee^^^\\\]]]fffwwwvvvmmmqqqwwwtttrrrnnnRRRFFF@@@:::888888777666555555666666444444444444333333333333222222222222222222222333000000000000000000000000222222222111111111000000111000000000000111333333000000////////////000000222222222222222222222222111333666999;;;???DDDHHHJJJLLLOOOQQQQQQ[[[sss|||FFFJJJSSS```qqqwwwkkk```RRRFFF@@@@@@CCCFFFHHHXXXrrrzzzfffdddkkk~~~zzzyyyxxxvvvtttrrrqqqpppnnnmmmkkkjjjhhhgggggggggjjjkkkkkklllppprrrkkkbbbWWWNNNHHHKKKSSSYYY^^^bbbggglllnnnllllllmmmjjjeee]]]^^^```eeerrr~~~}}}zzzqqqggg^^^XXXTTTUUUUUUOOOJJJIIICCCBBBBBBAAAAAA@@@AAAAAAIIIMMMRRRRRROOOOOORRRVVVVVVVVVUUUSSSOOOMMMMMMNNNSSSPPPPPPTTTXXX[[[```fffdddgggiiikkkqqqwwwyyyvvvooonnnpppuuu}}}|||jjjWWWMMMKKKIIIIIIJJJGGGKKKOOORRRYYYdddkkkmmmmmmcccYYYUUUSSSRRRVVVZZZ^^^eeeoooyyy|||oooeee]]]ZZZ[[[cccssszzzooopppttttttlllssswwwXXXGGG@@@<<<777777666666555666666666333333333333222222222222000111111222333333444444000000000000000000000000222111000/////////000111111111000000000111111222111000000/////////000000222222222222222222222222111444777;;;>>>BBBFFFJJJLLLOOOQQQQQQSSSbbbIIIMMMVVVddduuuwwwnnndddUUUIIIBBBBBBDDDEEEIIIYYYrrrxxxccc___dddwwwyyyxxxwwwuuusssqqqpppooojjjiiihhhggghhhhhhhhhhhhjjjkkkkkklllppprrrlllcccVVVNNNHHHKKKRRRYYY```fffooouuuyyyxxxxxxxxxuuuqqqdddbbb```dddooo||||||tttjjj```YYYUUUVVVVVVQQQMMMLLLDDDDDDBBBAAAAAAAAAAAAAAADDDJJJPPPQQQPPPPPPUUUZZZYYYYYYXXXVVVSSSQQQRRRSSSWWWSSSSSSVVVYYY\\\ccckkkjjjmmmoooqqqwww}}}|||uuutttssswww}}}ooo```QQQJJJIIIIIIIIIKKKIIILLLPPPVVVaaannnuuuuuupppfff[[[WWWWWWYYY^^^eeemmmuuu}}}oooddd^^^YYYXXX```nnn~~~}}}pppnnnrrr}}}yyyjjjjjjvvv~~~___HHH???===777666666555555555666666333333333222222222111111111111111222222333333333000000000000000000000000111000...------...///111111111111000111111111111333333222222111111222222111222222222222222333333444777:::===@@@CCCGGGJJJMMMPPPQQQPPPUUUkkkKKKPPP[[[kkk{{{xxxoooeeeWWWJJJDDDBBBDDDEEEMMM[[[ssswwwccc]]]```iiivvvzzzzzzyyyxxxwwwvvvuuuuuuooommmllllllnnnpppooonnnlllnnnnnnooosssvvvooogggWWWOOOIIIKKKRRRZZZccckkkxxx|||kkkeee```ccckkkvvv~~~~~~vvvmmmaaaZZZVVVWWWWWWRRROOONNNGGGFFFDDDBBBAAABBBBBBCCCCCCIIINNNPPPPPPRRRVVV[[[ZZZ[[[[[[YYYWWWVVVWWWXXXYYYVVVVVVXXXYYY\\\ccclllooorrrtttvvv{{{|||zzzyyyyyy}}}fffYYYNNNIIIIIIGGGHHHJJJKKKNNNSSS\\\jjjxxx}}}{{{nnnddd[[[ZZZ\\\bbbjjjrrr}}}}}}pppddd___XXXVVV^^^jjjwwwrrrlllpppxxxiiicccmmmvvvfffJJJ???===777666666555555555555555333333333222222222111111333333333222222222111111000000000000000000000000222111///......///111222111111111222222222222222444444333222222222222222111111111222222333333333777999===???AAADDDGGGIIIMMMPPPQQQPPPZZZuuuLLLUUUbbbssszzzpppfffXXXLLLEEECCCDDDEEEOOOYYYnnnwwweee^^^___]]]jjj{{{~~~}}}}}}}}}||||||{{{{{{wwwtttrrrsssvvvwwwvvvtttpppqqqrrrssswwwzzztttkkkXXXQQQKKKNNNUUU^^^jjjsssooofff```bbbiiipppxxxxxxpppccc\\\WWWXXXXXXTTTQQQPPPJJJHHHFFFDDDCCCCCCDDDEEEHHHJJJNNNQQQRRRTTTWWWYYY[[[[[[\\\[[[ZZZZZZ\\\]]]\\\YYYYYYZZZYYYZZZaaajjjppptttvvvwww|||~~~~~~yyy^^^UUULLLJJJIIIGGGHHHJJJMMMPPPVVVaaarrr}}}lllddd___aaagggoooyyysssggg```WWWTTTZZZdddoootttlllooossshhh]]]gggrrrnnnOOOAAA???888777666555444444444444333333333333222222222222444444333333222111111000000000000000000000000000333222222111111222444444000111222333444444444444333222111000000000000000111111111222222333333444666999===@@@CCCEEEGGGJJJLLLOOOPPPRRR```MMMXXXiiizzz|||pppgggYYYMMMGGGEEEFFFGGGPPPXXXjjjwwwfff^^^]]]WWWcccttt~~~~~~~~~|||xxxuuuvvvyyyzzzxxxuuurrrttttttvvvzzz}}}wwwnnnYYYRRRNNNRRRZZZeeesssoooeee^^^aaagggmmmuuu|||zzz}}}zzzssseee^^^ZZZZZZZZZWWWTTTTTTLLLJJJHHHEEEDDDDDDFFFGGGJJJJJJLLLQQQWWW[[[[[[[[[ZZZ[[[\\\\\\\\\]]]___bbb^^^]]]]]]]]]ZZZYYY___gggnnnqqqtttvvv|||lllXXXQQQKKKJJJJJJIIIIIILLLNNNRRRYYYfffxxx}}}qqqkkkiiioooxxxwwwkkk```UUUPPPVVV^^^gggyyywwwnnnlllnnniii[[[fffsssuuuTTTDDDAAA999888666555444333222222444444444444333333333333333222222222222222222222000000000000000000000000111111111111222222222333000111333444666666666666444333222111000000000000000111111222333333444444333777<<<@@@DDDGGGJJJLLLLLLOOOPPPUUUhhh~~~NNN[[[mmm~~~}}}qqqhhhZZZOOOIIIGGGHHHHHHUUU\\\nnnwwwfff^^^\\\UUU```ppp|||}}}}}}~~~~~~}}}yyyuuuvvvyyyzzzwwwtttsssuuuuuuwww|||~~~xxxoooYYYSSSPPPUUU^^^kkk{{{mmmccc]]]```ggglllttt|||wwwyyy~~~zzzttthhh```[[[\\\\\\YYYVVVVVVNNNLLLIIIFFFEEEEEEGGGHHHIIIHHHJJJQQQ[[[aaabbb```YYYZZZ\\\]]]]]]___bbbddd```_________[[[XXX^^^fffkkkooorrruuu|||xxxdddUUUNNNJJJKKKKKKJJJKKKNNNOOOSSS[[[iii||||||yyytttuuu|||zzzooo___TTTNNNSSSZZZbbbtttyyypppjjjkkkkkk]]]hhhvvvzzzYYYGGGCCC:::999777555333222111111555555444444444444333333111111111222222333444444000000000000000000000000,,,---...///000000/////////111333555777888888888666555444333222222222222000000111222333333444444000444:::@@@DDDHHHLLLOOOLLLOOOQQQWWWmmm{{{NNN]]]qqq{{{qqqhhhZZZMMMGGGFFFGGGHHHQQQ^^^ttt}}}lll^^^UUUNNN]]]lllttt{{{~~~|||~~~{{{{{{zzzyyywwwuuusssrrrvvvsssrrrvvv||||||uuulll___SSSQQQ\\\fffmmm}}}jjjfffaaaaaafffmmmqqqrrryyy|||~~~{{{uuufffddd]]]WWWWWW[[[[[[WWWQQQLLLFFFCCCEEEGGGGGGGGGIIIHHHIIINNNVVV\\\``````^^^```bbbbbbbbbcccdddfffhhhgggdddaaa^^^___bbbeeegggjjjooovvv|||jjjYYYSSSQQQOOOLLLKKKKKKLLLLLLPPPSSS___ttt}}}yyyqqqbbbXXXRRRSSSVVV^^^rrrooojjjlllwwwrrr\\\ccczzzdddGGGAAA===:::777666666666666555555444222111111222444555111111111111000000000000000000000000000000000000111111111000000000000000111000000111333666999;;;AAA>>>999444111000111222222222222111222222333333444777;;;@@@DDDHHHJJJLLLLLLOOOSSS```{{{SSScccxxxzzzqqqgggYYYMMMGGGFFFGGGHHHTTTaaaxxxooo```VVVQQQ]]]iiiqqqzzz~~~|||}}}zzzzzzzzzyyyxxxvvvuuutttxxxuuussswww|||{{{tttlll___YYYYYYcccnnnzzzxxxgggbbb^^^___eeelllppprrrwwwyyy|||~~~|||uuuiiifff```YYYXXX\\\\\\YYYUUUPPPJJJFFFFFFGGGGGGFFFHHHGGGIIINNNUUU[[[]]]^^^```bbbddddddddddddeeegggggghhhhhhgggeeeddddddeeehhhjjjoootttzzz}}}fffXXXOOONNNLLLJJJJJJJJJKKKLLLSSSVVVbbbvvv|||ttteee[[[SSSTTTWWW^^^qqqsssmmmmmmuuuwwwaaaeeewwwhhhKKKDDD===;;;888666666666555444555444222111111222444555111111111111000000000000000000000000000000000000111000000000000000000000222222111000111333555666===<<<;;;999666444222000333222222222222333444444444777<<>>;;;888666666666555444444444222222222222444444222222111111111000000000000000000000000000000000000000000000000000111111444333111000000000111222777999<<<===<<<888444111444333222222222333555555444777===CCCHHHJJJJJJJJJKKKLLLSSSddd}}}~~~bbbttt{{{qqqgggYYYMMMGGGFFFGGGIIIRRR```zzz}}}kkk```ZZZZZZ^^^gggttt}}}~~~{{{~~~~~~|||yyyyyyzzzzzzzzzzzzyyyyyyxxx{{{zzzyyyzzzzzzwwwqqqlllaaaiiinnnrrr~~~sssccc___]]]```fffmmmpppqqqxxx{{{}}}|||tttlllkkkeee^^^[[[^^^^^^\\\[[[XXXRRRMMMJJJHHHGGGGGGFFFGGGJJJOOOTTTXXX[[[\\\fffhhhjjjjjjiiihhhhhhiiikkkmmmoooooonnnlllllllllmmmnnnoooqqqvvv{{{lll]]]VVVPPPPPPOOOOOOOOOPPPQQQQQQTTTYYYfffzzzzzzmmmcccZZZXXXXXX\\\lll}}}|||ooommmooozzzvvvmmmrrrxxxVVVHHH>>><<<999777777666555444444333333222222333333444222222222111111111000000000000000000000000000000000000000000000111111111333333111000000000000111222555999===>>><<<999777666555333222333444555666444888???EEEIIIKKKJJJJJJJJJLLLTTTggg~~~~~~{{{||||||gggzzzqqqhhhZZZMMMGGGEEEGGGHHHOOO^^^wwwvvviii```ZZZYYYaaannnwwwzzzzzz}}}{{{{{{~~~~~~|||zzzzzzzzz{{{{{{{{{{{{zzzzzz|||{{{{{{zzzwwwsssooolllfffpppvvvxxxppp```^^^]]]aaagggmmmpppppp{{{}}}{{{rrrllllllggg___\\\^^^___^^^[[[YYYTTTOOOKKKIIIIIIIIIFFFHHHLLLPPPTTTXXX\\\^^^gggiiillllllkkkjjjjjjjjjmmmnnnnnnlllkkklllnnnppppppppppppqqquuu{{{zzzeeeZZZVVVRRRRRRQQQQQQQQQRRRRRRRRRSSSXXXfffzzz|||rrrggg]]]ZZZXXXZZZhhhxxx~~~lllkkkmmmuuurrrqqqZZZHHH???===999777777666555444333333333333333333333333222222222222111111111111000000000000000000000000//////000000111111111111222111111111111222222222///111555888;;;===>>>>>>999777555333333444555666666:::@@@FFFJJJLLLKKKJJJJJJNNNXXXkkk~~~}}}xxxxxxvvvkkk}}}sssiii[[[NNNGGGEEEEEEFFFMMM[[[sssuuuhhh^^^XXX\\\fffnnntttwwwyyywwwxxx}}}~~~}}}{{{{{{|||||||||{{{{{{zzzzzz||||||zzzuuuqqqnnnmmmmmmtttyyy|||~~~lll^^^]]]^^^ccckkkqqqtttttt}}}yyyppplllllliiiaaa]]]___bbbbbb]]][[[XXXRRRMMMJJJIIIJJJEEEHHHKKKOOOSSSXXX^^^bbbfffiiilllmmmlllkkkjjjjjjnnnmmmkkkiiihhhjjjooorrrrrrrrrrrrsssvvv{{{sss```WWWUUUPPPQQQQQQRRRSSSSSSTTTTTTVVV[[[jjj~~~~~~vvvjjj```[[[WWWWWWdddsssmmmllllllqqq|||xxxrrr___III@@@===:::888777777555444333333333333333333333333333222222222222111111111000000000000000000000000/////////000111111222222000000000111222222333333000000111333666:::>>>@@@<<<:::777444333333555666888<<>>:::888777777555444222333333444444333333222333333222222222111111111000000000000000000000000...//////000111111222222//////000000111111000000222111000000222666999<<>>;;;888777777555444222333333444444333333222333333333222222222111111000000000000000000000000...//////000111222222222//////////////////...---444333111000111222555666AAA>>>:::555333222333444<<<>>>BBBFFFIIILLLNNNNNNOOOZZZnnn}}}zzzyyywwwuuusssrrruuummm```RRRHHHCCCBBBCCCFFFKKK[[[tttooo\\\PPPMMMTTTcccqqqnnnqqquuuxxxzzz|||~~~~~~|||{{{||||||yyysssooooooqqqpppqqqqqqtttxxx~~~zzzrrrggggggnnnxxxsssnnnlllhhheeedddeeehhhjjjpppkkkcccZZZRRRLLLIIIHHHFFFGGGIIIKKKPPPWWW```fffhhhjjjllllllkkkiiiiiijjjmmmjjjhhhiiillloooooonnnqqqppprrrwww}}}zzziiiZZZRRRPPPTTTVVVXXX\\\^^^aaabbbccciiisss~~~zzzqqqggg___XXXTTTXXX___uuu~~~}}}ssskkkmmmrrr}}}qqq{{{vvvPPPGGG@@@:::::::::777666666555555444333333333333444333333333333333333333333444222111000111222111000000000000000111111111111111111000000000000111111222111111111222222333444888:::;;;:::888777777777;;;???BBBFFFJJJNNNNNNLLLRRRggguuuwww~~~xxxqqquuutttlll___RRRHHHDDDBBBCCCDDDGGGTTTjjj}}}mmmZZZNNNJJJPPP^^^kkkrrrtttvvvxxxyyyzzz|||~~~~~~zzzvvvsssrrrqqqrrrrrrsssvvvzzz|||uuunnnpppzzz~~~wwwssspppnnnjjjhhhgggiiikkkmmmppplllfff]]]UUUOOOKKKIIIFFFHHHJJJLLLPPPWWW```eeegggiiikkkllljjjiiiiiiiiiooommmkkkmmmpppqqqqqqpppqqqppprrrwww}}}tttdddXXXRRRQQQSSSUUUYYY^^^cccgggkkkmmmrrr|||{{{rrrhhh___XXXSSSWWW]]]mmmxxxuuukkkkkkpppzzzuuuzzz{{{TTTIIIAAA;;;;;;;;;999777888555555444333333333333444333333333333333333333333222000///...///000///...000000000000111111111111111111000000000000111111111111111222222333333333333444666666555444555666;;;???CCCGGGKKKPPPRRRRRR[[[qqq~~~wwwvvvyyyssslll___SSSIIIDDDCCCCCCCCCEEENNN^^^ooo|||wwwhhhVVVJJJFFFJJJVVVbbbppprrrtttvvvwwwyyy}}}~~~|||yyyvvvsssssstttvvvxxx|||~~~yyyuuu{{{}}}vvvrrrrrrpppmmmkkkkkkmmmppprrrqqqoooiiibbbZZZSSSMMMJJJHHHIIIKKKMMMQQQXXX___dddgggiiikkkkkkjjjhhhhhhiiipppoooppprrrttttttrrrqqqpppppprrrvvv{{{lll___VVVTTTUUUUUUWWW[[[```gggmmmsssvvvzzz~~~uuujjj```WWWRRRTTTZZZdddpppvvvkkkiiillluuuzzzvvvZZZJJJBBB<<<<<<<<<:::999:::555555444333333333333444333333333333333333333333222000//////000000000///000000000111111111222222111111000000000000111111111111222333333333222222///111333444444444666888<<>>@@@EEEJJJMMMQQQYYYbbbtttxxxyyyuuunnnbbbVVVLLLFFFDDDCCCDDDCCCFFFOOOXXX```jjjttt|||~~~yyypppbbbWWWKKKDDDAAABBBJJJSSS```dddhhhmmmrrrwww}}}|||xxxuuuwwwyyy}}}}}}{{{zzz|||wwwsssrrrqqqppppppqqqtttwwwyyytttssspppkkkcccZZZQQQLLLLLLMMMOOOQQQTTTYYY^^^ccceeegggiiiiiihhhffffffgggiiilllppprrrsssrrrpppooommmnnnpppsssvvvzzz~~~vvvccc[[[YYY[[[^^^^^^^^^___bbbhhhpppxxx}}}~~~{{{oooeeeZZZQQQQQQVVV\\\kkkwwwiiifffgggmmm|||mmmjjjsss~~~eeeMMMDDD<<<;;;:::888777999555555444333333333333444333333333333333333333333444222111111222333333222111111111111222222222222222222111111111111222222222222222333333222222111555666777777666777999;;;AAABBBGGGLLLMMMPPP\\\jjjxxx}}}xxxqqqfffYYYNNNGGGDDDCCCAAA@@@BBBIIINNNTTT^^^gggpppsssxxx~~~yyymmmeee\\\SSSKKKGGGDDDCCCHHHNNN]]]aaaggglllppptttxxx{{{~~~zzzwwwtttvvvyyy}}}~~~}}}~~~yyyuuuqqqqqqqqqrrrtttwwwzzz|||xxxwwwtttoooggg^^^UUUPPPMMMOOOQQQSSSUUUYYY^^^bbbdddfffhhhhhhgggeeeeeeffffffjjjnnnqqqqqqqqqpppqqqmmmoooqqqtttvvvzzzooo```\\\\\\___bbbaaaaaaaaacccjjjsss|||~~~rrrggg\\\SSSRRRVVVZZZjjjyyykkkggggggjjjuuupppdddmmmwwwlllPPPFFF===;;;999777666777555555444333333333333444333333333333333333333333222000//////111222222111111111111222222222222333222222111111111111222222444333222111111111222222555666666666555666999;;;CCCCCCHHHNNNOOORRRbbbtttxxx|||ttthhh[[[PPPHHHDDDBBB@@@>>>@@@EEEHHHKKKSSS\\\ccchhhpppyyy}}}ssshhhbbb[[[UUUPPPMMMJJJFFFGGGKKKYYY^^^eeelllqqqtttxxxzzz{{{zzz|||~~~~~~{{{xxxvvvuuusssuuuyyy}}}~~~}}}||||||~~~{{{xxxqqqqqqrrrtttvvvzzz}}}}}}|||yyyssskkkbbbZZZUUUOOOPPPRRRTTTVVVYYY^^^aaaccceeeggggggfffeeedddeeefffjjjnnnqqqqqqrrrsssuuuooorrrtttvvvxxx|||kkk``````cccfffiiijjjiiiggggggmmmuuutttiii^^^TTTSSSVVVXXXhhh}}}}}}nnniiigggfffmmmwwwyyydddkkkyyysssTTTIII@@@<<<:::777666777555555444333333333333444333333333333333333333333222000//////111333222222111111111222222222333333333222222111111222222333666444222000///111222444333444555555555777;;;>>>CCCCCCIIIQQQSSSWWWjjj{{{~~~vvvjjj]]]QQQIIIDDDBBBAAA@@@AAAEEEFFFGGGNNNVVVZZZaaalllyyyzzzqqqhhhbbb^^^XXXTTTSSSNNNIIIGGGIIITTTZZZccclllssswww{{{}}}{{{~~~|||zzzyyyxxxyyy{{{|||zzzyyyssswww{{{zzzwwwsssrrrsssrrrtttxxx|||~~~}}}xxxwwwwwwxxxzzz~~~}}}zzzrrrrrrsssuuuxxx||||||vvvnnneee]]]YYYOOOQQQSSSUUUVVVYYY^^^aaaccceeeggggggfffddddddeeegggkkkppprrrrrrsssvvvyyyrrrtttwwwxxxzzz}}}jjjbbbeeejjjnnnpppuuurrrmmmlllooovvv~~~vvvkkk___UUUTTTWWWUUUeeezzzqqqkkkgggdddhhhppp}}}fffkkkyyyWWWLLLBBB>>>;;;777666777555555444333333333333444333333333333333333333333444222111222333555555444111111222222222333333333333222222111111222222333777555111///...000333444333444555666777:::???BBBBBBCCCJJJSSSVVV[[[ppp~~~{{{ooo```SSSIIIBBB??????@@@AAAAAABBBEEEIIILLLXXXaaaooo~~~yyyrrrmmmkkkgggdddaaa___XXXNNNIIIJJJRRRYYYbbbkkkrrrxxx}}}zzzyyyzzz|||}}}}}}zzzwwwtttsssrrrqqqooonnnmmmmmmmmmqqqqqqsssuuuxxx{{{~~~~~~|||||||||}}}}}}}}}}}}}}}~~~tttuuuvvvxxxzzz}}}|||wwwooofff^^^ZZZVVVTTTRRRSSSVVVYYY\\\]]]___ccchhhiiigggeeefffhhhiiimmmqqqtttvvvwwwyyy{{{{{{~~~|||yyyzzzzzzfffeeemmmrrrwww|||zzzvvvrrrqqqqqqttt}}}pppllldddXXXSSSVVVWWWaaattt{{{lllcccaaaeeehhhvvv~~~{{{```III??????999888:::777555555555666666666666666222333555666666555333222111111111111111111111111222222111111111111222222222222222222222222222222444333333222222333333444111222333444666:::???CCCFFFFFFNNNYYYZZZ]]]ttt~~~}}}qqqcccVVVKKKDDDAAA???@@@AAAAAABBBEEEIIILLLVVVaaarrr|||xxxvvvqqqlllhhhddd\\\RRRLLLLLLQQQXXXcccllltttzzz}}}|||~~~~~~{{{yyyuuutttsssrrrpppoooooooooqqqqqqqqqsssuuuyyy|||~~~{{{{{{{{{{{{|||}}}~~~~~~~~~~~~~~~wwwwwwxxxyyy{{{~~~zzzrrrjjjccc^^^[[[XXXVVVVVVYYY\\\^^^___aaaccceeeggggggggghhhiiikkkooossswwwyyy{{{}}}|||~~~zzz|||zzzhhhiiiqqqvvvzzzzzzuuusssqqquuu~~~rrrmmmeeeYYYTTTVVVWWWaaarrr}}}mmmdddbbbfffjjjuuucccKKK@@@???:::888:::777666666666666555555555555222333444666666444333222111111111111111111111111222222111111111111222222222222222222222222222222444333333222222333333444222222333444666999???CCCFFFFFFOOOYYYYYY^^^xxxuuuhhhZZZOOOGGGBBB@@@@@@AAAAAABBBDDDHHHLLLRRR___qqq~~~|||zzzuuuoooiii```UUUMMMLLLNNNVVVaaammmuuu{{{||||||zzzyyyxxxvvvuuuuuuuuuuuuttttttvvvzzz~~~yyyyyyxxxxxxzzz|||~~~~~~~~~~~~~~~~~~zzz{{{{{{|||}}}~~~wwwpppiiieee```^^^[[[[[[]]]___aaaaaacccbbbbbbcccgggjjjkkklllnnnrrrwww|||~~~~~~zzzlllpppxxx}}}yyyuuurrruuuwwwpppmmmlllooosss{{{zzz}}}uuuooohhh\\\UUUVVVWWW___ooooooeeecccggglllssshhhOOOAAA@@@:::888:::777777666666666555444444444222333444555555444333222111111111111111111111111222222111111111111222222222222222222222222222222444333333222222333333444333444444555666999>>>BBBEEEGGGPPPYYYYYYaaayyylll^^^RRRHHHCCC@@@AAAAAAAAABBBDDDHHHKKKTTT```pppzzz}}}}}}uuunnnhhh```TTTLLLKKKJJJRRR^^^kkkttt{{{~~~~~~}}}}}}{{{zzzyyy{{{~~~~~~~~~~~~~~~|||xxxwwwvvvvvvxxx|||~~~}}}}}}}}}}}}}}}~~~~~~~~~~~~~~~{{{uuuoookkkdddaaa^^^]]]^^^```aaaaaaeeeaaa___aaaffflllnnnnnnqqquuu{{{zzzpppvvv{{{vvvsssvvvvvvkkkccc```bbbeeeiiiiiioooyyyyyyrrrjjj___XXXVVVWWW]]]kkk~~~rrrfffcccgggkkkrrroooTTTDDD@@@:::888:::666777777666555444444333333222333444444444444333222111111111111111111111111222222111111111111222222222222222222222222222222444333333222222333333444444555555555666999>>>AAAEEEIIIRRRYYYZZZeee}}}|||pppbbbUUUJJJCCC@@@AAABBBBBBBBBDDDHHHKKKVVVaaannnuuuwwwzzzxxxppphhhccc\\\RRRKKKHHHGGGMMMYYYeeeqqqyyy|||~~~~~~}}}~~~~~~{{{zzz}}}~~~}}}~~~{{{xxxvvvvvvuuuvvvxxx|||}}}}}}}}}|||}}}}}}~~~~~~}}}xxxssspppgggddd```^^^^^^___``````eeeaaa^^^```ffflllpppqqqsssxxx~~~|||uuu|||~~~yyyvvvwww{{{yyy|||~~~vvvjjj___YYYXXXXXX]]]^^^eeepppyyy}}}uuummmccc[[[WWWVVVZZZeeexxxvvviiiccceeeiiiqqqwwwYYYFFFAAA:::999:::666777666666555444333333222222333333333333333333222111111111111111111111111222222111111111111222222222222222222222222222222444333333222222333333444444555555555666999>>>BBBFFFKKKSSSXXX[[[jjjvvvttttttfffXXXKKKDDDAAABBBBBBBBBBBBDDDGGGJJJOOOYYYeeeooouuu{{{vvvmmmeeeaaa[[[RRRKKKIIIGGGKKKSSS```lllwww|||~~~~~~~~~}}}~~~{{{yyyyyyyyyzzz|||~~~~~~zzzwwwvvvuuuvvvwwwyyy}}}~~~~~~~~~~~~}}}}}}}}}}}}}}}~~~~~~{{{wwwtttlllhhhcccaaa`````````___dddbbb```aaaeeekkkppprrrtttyyyzzzzzzxxx~~~xxxnnnoootttzzz~~~|||rrreee\\\WWWSSSVVVVVV\\\gggpppvvv}}}xxxpppggg]]]WWWTTTVVV```rrr|||mmmdddcccfffooo}}}~~~^^^HHHAAA:::999:::666666555555555444333333333333333222222222222333333111111111111111111111111222222111111111111222222222222222222222222222222444333333222222333333444444555555666777:::???CCCIIIMMMSSSXXX]]]nnnuuunnnnnn}}}yyykkk[[[NNNFFFAAABBBBBBBBBBBBCCCGGGJJJJJJUUUeeevvvzzzpppgggccc^^^VVVOOOLLLIIIKKKPPP[[[iiivvv~~~~~~~~~}}}||||||{{{}}}}}}zzzyyyzzzzzzzzz|||~~~{{{yyyuuuvvvwwwyyy{{{}}}~~~~~~}}}}}}~~~~~~~~~}}}}}}}}}}}}~~~}}}}}}}}}~~~~~~}}}zzzxxxqqqmmmhhheeeccccccbbbaaacccccccccccceeeiiiooossstttyyyzzz{{{{{{kkkdddeeejjjsss~~~{{{mmmbbbYYYRRRPPPOOOTTT]]]eeekkkrrryyyzzzrrriii___WWWRRRSSS[[[mmmrrrfffcccdddmmm|||bbbJJJBBB;;;999:::555444444444444444444444444333222222222222222222333111111111111111111111111222222111111111111222222222222222222222222222222444333333222222333333444333444555666777;;;@@@DDDLLLNNNRRRWWW___rrr}}}ooojjjmmm|||nnn^^^PPPHHHAAABBBBBBBBBBBBCCCGGGJJJOOO\\\pppuuukkkgggcccZZZSSSPPPKKKKKKOOOYYYhhhvvv~~~|||zzzzzz}}}}}}{{{{{{||||||{{{}}}~~~|||{{{uuuvvvxxxzzz|||~~~}}}}}}~~~~~~~~~}}}}}}}}}}}}||||||||||||}}}~~~|||zzzuuuqqqlllhhhgggfffeeedddaaaccceeeddddddhhhnnnttttttyyyzzzxxx|||}}}nnnbbb\\\^^^aaakkkyyy}}}ooobbbWWWNNNLLLKKKNNNVVV]]]cccjjjrrrwww{{{ssskkk```XXXRRRRRRXXXjjjuuuhhhcccdddkkkyyy|||dddKKKBBB;;;999:::555333333444444444444444444333222222111111222222333111111111111111111111111222222111111111111222222222222222222222222222222444333333222222333333444222333555666777<<>>JJJUUUYYYSSSEEE999666555777;;;<<<>>>IIIVVVXXX\\\iiisssvvvssswwwwww}}}qqq```QQQGGGBBB@@@AAABBBBBBFFFLLLQQQiiirrrbbbOOOKKKFFFDDDIIISSS___ggglllpppuuu{{{~~~||||||}}}~~~}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~}}}}}}{{{yyyvvvsssqqqoooqqqlllgggccccccdddeeefffeeeiiinnnuuu{{{~~~}}}|||zzzxxxoooiiidddccc```[[[XXXXXXUUUZZZ___aaa```]]]ZZZXXXTTTUUUWWW\\\```aaa```^^^[[[```hhhrrr{{{vvvjjjbbbUUUSSSSSSZZZjjj~~~ooohhhiiillluuuxxxsss```IIIAAA<<<999888777777777666666666555555333333444444444444333333111333222///333<<<;;;555111111222222222333333333333333333333333333333333000888CCCOOOZZZ]]]TTTIII999444444:::===AAAMMM\\\[[[cccxxxuuurrr}}}rrruuuuuueeeWWWJJJEEEAAABBBBBBBBBFFFLLLNNNbbbrrrbbbMMMJJJFFFCCCEEENNNYYYaaaiiilllrrrvvv{{{~~~}}}}}}~~~|||}}}~~~~~~~~~~~~}}}}}}||||||}}}}}}}}}|||zzzxxxuuurrrppprrrlllfffcccccceeeffffffdddfffkkkqqqxxx|||yyytttsssqqqjjjeeeddd___aaaeeeffffffffffffggg```aaadddiiimmmmmmjjjggg^^^aaagggmmmvvv|||oooeeeXXXTTTQQQVVVeee{{{ssslllnnnlllrrr~~~wwwoooxxxfffOOODDD???;;;999777777777777666666666555333333444444444444333333000333222///666AAABBB:::111111222222222333333333222222222222222222222222000444999???KKKXXX\\\YYYJJJ???999===@@@CCCMMM[[[___kkkvvvssstttzzzyyyiii[[[LLLGGGCCCCCCCCCCCCGGGLLLNNN___wwwppp```LLLJJJFFFBBBCCCJJJUUU^^^fffjjjooossswww|||~~~}}}}}}~~~{{{|||}}}~~~~~~~~~~~~|||{{{}}}zzzzzz{{{~~~~~~}}}{{{yyyvvvsssqqqrrrlllfffbbbcccfffffffffccceeeiiiooovvvzzz|||}}}}}}~~~wwwqqqoooiiijjjkkkkkklllnnnqqqtttoooooorrrvvvzzzyyyuuuqqqccceeehhhmmmuuurrrhhhZZZTTTPPPSSSbbbyyywwwppprrrkkkppp{{{vvvkkktttkkkRRRGGGBBB===:::777777777777666666666666333444444555555444444333///333222000888DDDFFF>>>111111222222222333333333222111111111111111111111333666444222;;;LLL[[[```]]]MMMBBBCCCCCCCCCKKKWWW```pppwwwvvvyyy