BM66(@ IIIHHHHHHHHHHHHHHHHHHHHHEEEBBB???=========<<<;;;;;;;;;;;;;;;<<<>>>@@@BBBDDDGGGMMMRRRSSSPPPIIICCCAAA@@@@@@AAABBBBBB@@@???<<<<<<<<<<<<:::999888777555555666777888999::::::888666777:::;;;===FFFOOO___fffnnnqqquuuzzz|||{{{}}}||||||}}}yyyqqqlllfffcccgggnnn}}}uuugggWWWLLLEEE???===??????CCCMMMZZZhhhttt{{{~~~~~~zzzwwwyyyyyyyyy{{{xxxppphhhddd___SSSFFF???:::666444555666666222444===@@@MMMeeeyyyzzzmmmhhhgggmmmuuu|||uuummmqqqyyyqqq```TTTMMMJJJIIIKKKNNNTTTaaammmzzzrrrbbbTTTKKKEEEBBBFFFEEEEEEHHHJJJNNNXXXcccpppvvv}}}|||xxxuuurrrtttvvvxxxyyy}}}wwwiii```UUUPPPMMMNNNRRR[[[kkkzzz}}}xxxooofff```^^^___aaatttyyyqqqjjjiiifffdddaaa___^^^^^^XXXWWWUUUTTTTTTVVVWWWYYYYYYXXXVVVUUUTTTRRROOOLLLQQQOOONNNMMMMMMLLLIIIGGGJJJIIIHHHFFFEEEEEEEEEDDDIIIHHHKKKQQQUUUZZZdddoootttzzz~~~www___OOOGGGCCCAAABBB?????????>>>>>>???CCCEEELLL]]]wwwJJJKKKKKKLLLLLLKKKJJJJJJHHHFFFBBB@@@@@@@@@>>>===;;;;;;:::::::::<<<===>>>CCCFFFLLLQQQTTTRRRLLLGGGDDDCCCBBBCCCDDDEEECCCBBB=========<<<;;;::::::999888888888888888888888888888777888;;;===@@@IIIRRR```hhhooorrruuuzzz|||zzz}}}}}}}}}}}}}}}vvvooojjjfffeeekkksss~~~ssseeeVVVKKKEEE???===???@@@EEEOOO]]]jjjuuu}}}~~~yyyssstttuuuvvvxxx}}}zzzqqqhhhccc\\\QQQEEE>>>:::666444555333444111444>>>BBBQQQiii|||zzzmmmgggdddiiipppwwwuuuooottt}}}rrraaaUUUMMMJJJIIIJJJMMMTTT```mmmzzzsssbbbTTTKKKEEEBBB@@@>>>@@@DDDHHHNNNYYYdddooouuu}}}}}}|||zzzxxxvvvtttwwwzzz}}}{{{nnneeeYYYTTTOOOOOORRR[[[kkkzzzzzzqqqhhhaaa^^^___```nnnzzzzzzyyyvvvtttqqqooonnnmmmgggfffdddccccccdddfffggggggfffcccbbbaaa___[[[YYYZZZXXXVVVUUUUUUSSSPPPNNNLLLKKKJJJIIIHHHHHHHHHHHHHHHHHHKKKPPPTTTYYYdddnnntttyyy}}}vvv]]]NNNGGGBBB@@@@@@????????????>>>@@@CCCFFFNNN^^^yyyMMMNNNPPPQQQQQQPPPNNNMMMMMMKKKGGGEEEDDDCCCAAA@@@===<<<;;;::::::;;;;;;<<>>CCCLLLWWWbbbjjjqqqsssvvvzzz{{{zzz~~~~~~~~~~~~zzzssslllhhhfffgggpppyyy|||pppcccSSSJJJDDD???>>>???BBBHHHSSS```mmmwww~~~}}}xxxpppqqqrrrsssvvv|||{{{qqqhhhbbbYYYMMMBBB===:::666444666444555222555>>>CCCRRRkkk~~~{{{nnngggbbbeeelllsss}}}vvvrrrxxxsssbbbVVVLLLIIIHHHJJJLLLSSS___lll{{{sssbbbTTTKKKEEEBBB>>>===???CCCGGGMMMXXXcccnnnttt|||}}}yyyxxxxxxwwwvvvuuussswww{{{vvvmmm```YYYSSSQQQRRR[[[kkkzzz}}}vvvlllddd______```kkkwww{{{zzzyyyxxxxxxxxxyyyzzzzzzxxxvvvtttrrrooollliiifffdddbbb```^^^\\\XXXUUUPPPPPPNNNMMMLLLKKKKKKKKKHHHHHHJJJOOOSSSXXXbbbllltttyyy~~~zzzttt\\\MMMFFFAAA??????????????????>>>@@@CCCFFFOOO```{{{OOOQQQSSSUUUVVVTTTRRRPPPRRROOOLLLJJJIIIGGGDDDBBB>>>>>><<<;;;;;;<<<======???AAAGGGMMMSSSUUUTTTRRRKKKJJJIIIIIIKKKLLLKKKKKKGGGFFFCCCAAA???>>>>>>>>><<<<<<;;;:::999888777666777666888<<>>>>>@@@CCCKKKWWWdddoooxxx}}}vvvppppppqqqssswww}}}|||qqqfff___UUUJJJ@@@<<<999666555666777999555777>>>AAAQQQkkk~~~}}}}}}ppphhhbbbdddjjjsss~~~vvvsssyyysssbbbUUULLLIIIGGGIIIKKKQQQ^^^jjj{{{tttbbbUUUKKKEEEBBBBBBAAAAAADDDGGGKKKVVVaaalllsss{{{xxxvvvrrrppppppppppppooooootttzzz|||~~~~~~uuuhhh```XXXTTTSSS[[[kkkyyy{{{rrrhhhaaa```aaammmwww}}}yyyvvvrrrooollliiifffccc^^^[[[VVVUUUSSSPPPNNNLLLKKKKKKGGGFFFIIIMMMQQQUUU___iiisssxxx~~~{{{www}}}ttt\\\NNNGGGAAA?????????????????????AAADDDGGGPPPaaa|||RRRTTTVVVXXXYYYXXXVVVTTTUUUSSSPPPNNNMMMKKKHHHEEE>>>===<<<;;;;;;<<<===>>>===???CCCIIIOOORRRSSSRRRLLLKKKIIIJJJLLLMMMMMMMMMLLLKKKIIIFFFDDDBBBAAA@@@<<<<<<;;;;;;:::999888888777555777;;;???EEEQQQ\\\gggnnntttvvvxxx|||}}}zzz~~~xxxpppiiieeeeeejjjvvvwwwhhh[[[MMMFFFAAA>>>>>>AAADDDLLLZZZgggqqqxxx~~~wwwqqqqqqppprrrwww|||{{{{{{{{{pppeee]]]RRRHHH???;;;999666555666666999666888>>>CCCTTTppp~~~|||ppphhhaaabbbiiisss~~~uuurrryyysssaaaTTTKKKHHHGGGHHHJJJPPP]]]iiizzztttcccUUUKKKEEEBBBBBBAAAAAADDDFFFJJJTTT___kkkqqqzzzyyyuuuqqqmmmllllllkkkjjjkkkpppwww}}}~~~wwwpppkkkeeehhhlllrrr||||||pppggg^^^XXXVVV[[[jjjxxxvvvkkkcccaaaaaakkkttt}}}zzzuuuqqqmmmhhhccc___YYYWWWTTTQQQMMMJJJHHHGGGEEEDDDGGGKKKNNNRRR\\\fffqqqvvv}}}|||xxxvvv|||ttt]]]OOOHHHCCC@@@@@@>>>????????????AAAEEEHHHPPPaaa|||VVVWWWZZZ[[[\\\[[[ZZZYYYWWWVVVTTTSSSRRRPPPLLLJJJ???>>>===;;;::::::;;;;;;<<<===???DDDIIIMMMNNNNNNKKKIIIHHHHHHJJJLLLLLLLLLOOONNNNNNLLLJJJHHHFFFEEE@@@???>>>===<<<;;;;;;:::777666777;;;@@@FFFRRR^^^hhhooouuuwwwzzz}}}~~~|||~~~~~~{{{uuunnngggeeegggmmmyyy~~~ssseeeXXXKKKDDD@@@>>>>>>AAAEEEOOO]]]jjjsssyyyzzzsssqqqpppqqquuuyyy|||}}}}}}wwwwww|||{{{pppddd]]]QQQGGG???<<<:::777555666222666555888@@@FFFZZZxxx~~~qqqggg```aaagggqqq}}}|||tttpppxxxrrraaaTTTKKKGGGFFFGGGIIIOOO[[[hhhyyyuuucccUUUKKKEEEAAA???===>>>AAADDDIIITTT___iiipppyyy{{{uuupppnnnmmmkkkjjjiiinnnttt{{{yyyrrrlllfff^^^YYYSSSUUUXXX]]]gggwwwvvvnnnccc\\\XXX\\\hhhuuuxxxlllbbb___```cccmmm{{{{{{uuupppjjjddd```WWWUUURRRNNNIIIFFFCCCBBBCCCBBBDDDHHHJJJNNNXXXbbbnnnttt}}}yyyvvvvvv|||ttt]]]PPPIIICCC@@@@@@>>>???@@@???@@@BBBFFFIIIPPPaaa}}}[[[\\\]]]^^^____________ZZZYYYWWWWWWVVVUUUQQQOOOGGGEEEBBB???===;;;;;;;;;<<<;;;<<>><<<;;;:::888999===AAAHHHTTT```hhhooovvvxxx{{{~~~|||~~~}}}xxxooojjjeeefffiiippp|||zzzpppbbbUUUHHHBBB???===???BBBFFFRRRaaannnvvv{{{xxxuuurrrsssvvvyyyzzzzzzzzz~~~zzzttttttxxx}}}|||rrrfff^^^QQQHHH???<<<;;;777555666000555555888AAAHHH^^^}}}uuulllddddddiiippp{{{zzzssspppxxxsssbbbUUUJJJGGGEEEFFFHHHNNNZZZfffxxxuuudddUUUKKKEEEAAAAAA??????BBBDDDHHHSSS]]]hhhoooxxxyyytttqqqpppnnnmmmkkkoootttzzzzzzsssjjjbbb]]]XXXPPPJJJHHHIIIKKKMMMUUUdddxxxzzzrrrhhh```[[[]]]gggsss}}}wwwjjj```]]]]]]^^^gggvvvyyysssmmmfff___ZZZQQQPPPMMMIIIEEECCCAAA@@@AAA@@@BBBEEEHHHKKKTTT^^^jjjrrr|||wwwvvvvvv}}}rrr\\\OOOHHHCCC??????>>>???@@@@@@@@@BBBFFFIIIRRRccc_________```aaabbbbbbccc\\\[[[ZZZZZZZZZXXXUUURRROOOMMMIIIEEEAAA>>><<<<<<<<<;;;:::<<<@@@CCCDDDDDDGGGEEECCCCCCEEEGGGIIIIIIJJJMMMQQQTTTUUUTTTRRRPPPLLLJJJHHHEEEBBB???===<<<<<<:::;;;>>>BBBIIIVVVbbbhhhooovvvyyy{{{|||}}}{{{wwwkkkfffdddfffjjjrrryyynnn```TTTGGGAAA???===???BBBHHHTTTdddqqqxxx}}}}}}zzzvvvvvvyyy{{{{{{zzzuuuzzz}}}xxxsssrrruuuzzz|||}}}}}}ssshhh```QQQHHH@@@===;;;777555666222777777999@@@GGG\\\|||{{{qqqiiihhhkkkrrr{{{~~~yyyrrrpppyyyuuucccWWWJJJGGGEEEFFFHHHNNNZZZfffwwwvvvdddUUUKKKEEEAAAHHHEEEDDDEEEFFFHHHQQQ[[[gggnnnwwwzzzuuurrrqqqpppooonnnqqqvvv{{{~~~qqqjjj```YYYUUUPPPIIICCCDDDDDDDDDEEEJJJYYYmmm{{{}}}uuukkkccc]]]]]]fffqqqzzz}}}}}}uuuhhh^^^ZZZ[[[]]]fffuuu{{{uuunnnggg```XXXTTTLLLKKKHHHFFFCCCAAA@@@???@@@???@@@DDDFFFIIIRRR\\\iiiqqq}}}wwwvvvwww}}}qqq[[[NNNGGGBBB>>>>>>>>>???@@@@@@@@@CCCFFFJJJSSSeeeaaacccfffgggfffddddddddd``````^^^]]][[[YYYXXXWWWQQQPPPMMMIIIEEEAAA>>><<<;;;:::999999999:::;;;<<<@@@@@@@@@@@@AAABBBCCCDDDKKKMMMOOOPPPPPPPPPQQQRRRNNNMMMKKKHHHDDD@@@===;;;<<<<<<<<<>>>DDDNNNZZZccclllssswwwwwwxxx|||}}}{{{}}}~~~}}}xxxtttjjjeee___aaalllzzz}}}qqqiii[[[PPPFFFAAA@@@>>>???BBBLLLWWWfffqqqwww|||{{{zzzxxxwwwwwwwwwuuutttsssssswww~~~yyysssrrruuuxxxwwwvvvyyy}}}yyyjjj[[[SSSIII>>>:::888555555666333777444777@@@JJJ```wwwsssnnnkkknnnttt}}}}}}xxxrrrpppwwwsss___QQQKKKGGGDDDEEEHHHMMMXXXbbbtttvvvdddVVVLLLEEEAAABBB>>>===@@@BBBFFFOOOXXXcccnnnyyy}}}}}}wwwrrrpppooommmlllnnnnnnsss}}}|||wwwsssgggaaaZZZUUUQQQMMMFFFBBBBBB@@@???@@@BBBLLL___ppp{{{qqqgggaaaccciiinnnzzzxxxtttllleee^^^\\\[[[\\\cccnnnzzzyyyqqqggg___[[[UUUNNNIIIFFFDDDBBB???===<<<<<<<<<<<<;;;<<<@@@AAADDDMMMWWWeeeppp{{{zzzyyyyyypppZZZLLLFFFBBB@@@@@@???>>>???BBBBBBAAADDDJJJWWWgggaaadddfffgggeeedddcccdddbbbaaa___]]][[[YYYXXXWWWTTTSSSPPPLLLIIIEEEBBBAAA>>>===<<<;;;:::;;;;;;<<<============>>>@@@AAABBBDDDGGGJJJLLLLLLNNNOOOQQQNNNMMMKKKHHHEEEAAA>>><<<<<<<<<===???EEEOOO[[[cccmmmssswwwxxxyyy|||}}}{{{}}}~~~~~~|||yyyiiiddd___bbblll{{{{{{ooofffYYYNNNDDD@@@>>>===???BBBOOOYYYhhhsssyyy}}}}}}|||zzzyyyxxxvvvsssqqqpppqqqttt|||yyytttsssvvvxxxxxxvvvxxx{{{zzzkkk\\\SSSHHH>>>:::888555444666444777555777AAAJJJaaa|||wwwqqqooosssyyy~~~yyyrrrooouuutttaaaSSSKKKGGGDDDFFFHHHMMMXXXbbbsssvvveeeWWWMMMEEEBBB@@@<<<;;;>>>@@@DDDLLLUUU```kkkwww||||||uuupppmmmkkkiiihhhiiijjjpppyyy~~~yyysssnnnccc^^^WWWSSSPPPLLLGGGCCCBBB???>>>???AAAIII[[[kkk~~~uuukkkeeeffflllqqq|||{{{wwwppphhhaaa]]][[[[[[bbblllwww}}}yyypppiii___XXXTTTPPPJJJEEECCCBBB@@@===<<<;;;;;;;;;<<<;;;<<>>???BBBBBBAAADDDJJJWWWhhhaaacccffffffeeeddddddeeeeeecccaaa^^^[[[YYYXXXXXXUUUTTTQQQOOOLLLIIIGGGFFFAAA@@@???===<<<<<<<<<<<<999999::::::;;;===>>>???===@@@DDDFFFHHHJJJLLLNNNLLLLLLJJJHHHEEEBBB@@@>>><<<===>>>AAAHHHRRR]]]eeennntttxxxxxxyyy|||}}}|||}}}}}}~~~|||yyyfffbbb^^^bbbnnn|||xxxkkkbbbUUULLLCCC???======???DDDRRR\\\kkkuuu{{{~~~}}}|||{{{yyyvvvqqqmmmnnnooorrryyy~~~zzzvvvuuuwwwxxxxxxvvvvvvzzz}}}{{{mmm___RRRGGG>>>:::888555444666444777555888AAAJJJaaa|||uuutttyyyzzzrrrnnnsss{{{uuubbbUUUKKKGGGDDDFFFIIINNNXXXbbbrrr~~~wwweeeWWWMMMFFFBBB???<<<;;;>>>@@@CCCKKKTTT\\\hhhtttzzz|||uuuoookkkhhhfffdddeeeffflllvvvxxxqqqlllbbb]]]VVVRRRPPPNNNJJJGGGCCC@@@>>>>>>???FFFVVVdddzzzzzzqqqkkklllrrrvvv}}}vvvnnneee___\\\[[[aaakkkttt|||zzzrrrmmmccc]]]UUUOOOLLLHHHDDD@@@@@@???===<<<;;;:::::::::;;;:::;;;>>>@@@CCCLLLVVVaaammmyyy||||||pppZZZMMMGGGBBBAAAAAA@@@>>>>>>AAABBBAAAEEEKKKXXXiii^^^aaadddeeeeeeeeefffggggggeeebbb___\\\ZZZYYYXXXRRRQQQPPPNNNLLLJJJIIIHHHDDDCCCBBB@@@>>>===<<<;;;888888888999:::;;;<<<===:::===@@@BBBCCCEEEGGGIIIJJJIIIHHHGGGEEECCCAAA@@@<<<>>>@@@EEELLLVVVaaahhhooouuuyyyyyyzzz}}}~~~|||||||||}}}~~~~~~yyytttooobbb___^^^cccooo}}}tttggg]]]RRRJJJBBB???>>>===BBBGGGUUU___mmmwww|||yyyyyyzzzzzzyyyuuuoookkkmmmnnnqqqxxx}}}{{{xxxwwwxxxxxxwwwvvvuuuyyy|||~~~{{{nnn```QQQGGG>>>:::999666444666555888666888BBBKKKbbb|||uuuuuu}}}|||tttnnnqqqxxxuuubbbUUULLLGGGEEEFFFIIINNNXXXcccqqq|||vvveeeVVVLLLEEEAAA@@@======@@@BBBEEELLLTTTZZZfffrrryyy~~~vvvpppkkkhhheeeccceeefffllluuu}}}|||tttnnnfff```YYYTTTSSSRRRPPPMMMFFFBBB???>>>???DDDQQQ^^^wwwwwwrrrsssxxx|||~~~tttkkkccc```^^^dddkkksssyyy~~~{{{uuummmfffaaaWWWRRRLLLHHHEEECCC@@@>>>>>>======<<<;;;;;;;;;;;;:::999;;;>>>???BBBKKKUUU```lllyyy|||pppZZZMMMGGGCCCAAABBB@@@===>>>AAAAAAAAAEEELLLYYYkkk[[[]]]```aaabbbdddfffhhheeedddbbb```]]]ZZZXXXVVVPPPOOOOOONNNMMMLLLLLLLLLFFFEEEDDDBBB@@@>>><<<;;;999999999999:::;;;<<<<<<;;;===???@@@@@@@@@BBBCCCEEEEEEEEEEEEDDDCCCBBBAAA===@@@CCCIIIPPPZZZeeelllpppvvvzzzzzzzzz}}}~~~|||{{{||||||}}}~~~~~~zzzssslllfff___]]]]]]dddqqq~~~}}}qqqcccYYYOOOHHHBBB@@@>>>???EEELLLWWWaaannnxxx}}}}}}ssstttvvvxxxxxxuuuoookkkjjjkkkooouuu|||}}}|||zzzyyyyyyxxxwwwvvvvvvzzz}}}~~~{{{nnn```PPPGGG>>><<<:::777555666555999777999CCCLLLccc|||tttuuu}}}wwwoooqqqwwwtttbbbUUULLLHHHEEEFFFIIINNNYYYcccppp|||uuudddVVVKKKDDD@@@@@@======???AAADDDKKKSSSZZZfffrrryyy~~~xxxrrrmmmjjjgggeeehhhjjjpppwww}}}zzzuuujjjccc[[[VVVTTTTTTRRRPPPIIIDDDAAA@@@@@@DDDOOOYYYsss}}}yyyzzz~~~{{{qqqiiieeedddiiiooouuuyyy|||{{{xxxsssnnnhhhbbb[[[VVVOOOLLLGGGDDDBBBAAA@@@???>>>>>>>>>>>>======<<<<<<:::999;;;>>>???BBBKKKUUU___lllyyyoooYYYLLLFFFBBBAAAAAA@@@======@@@AAAAAAFFFMMMYYYmmmWWWYYY[[[\\\]]]^^^```bbb_________^^^[[[XXXTTTRRRNNNNNNNNNNNNNNNOOOOOOOOOHHHHHHGGGEEECCCAAA???===;;;;;;::::::::::::;;;;;;;;;===??????>>>===>>>???AAAAAAAAABBBBBBAAAAAA@@@???BBBGGGMMMUUU___iiipppqqqwww{{{zzz{{{~~~~~~|||{{{{{{|||}}}~~~~~~|||wwwppphhhbbb[[[ZZZ\\\eeerrrzzznnn```VVVLLLFFFBBB@@@???@@@GGGOOOZZZdddqqqzzz~~~}}}ooopppsssuuuvvvtttppplllfffiiinnntttzzz~~~~~~~~~~~~}}}|||zzzyyyxxxyyy|||}}}~~~~~~yyylll___QQQHHH@@@===<<<888777777666999777:::CCCLLLccc~~~vvvuuu|||{{{rrrrrrwwwvvvcccVVVLLLHHHEEEGGGJJJOOOYYYcccppp|||uuudddVVVLLLEEEAAA===:::;;;===???AAAHHHOOOZZZfffrrrxxx}}}xxxrrrnnnkkkiiigggiiimmmtttzzz~~~}}}ooohhh^^^VVVTTTRRRPPPNNNKKKFFFBBBAAABBBDDDMMMVVVnnnwwwoookkkjjjnnnsssxxxzzz|||~~~}}}{{{{{{zzzzzzxxxvvvtttrrrqqqkkkiiieeeaaa]]]WWWQQQMMMIIIGGGDDDBBB@@@???@@@@@@???????????????>>>===<<<;;;:::;;;>>>@@@CCCLLLVVV```mmm{{{mmmWWWKKKEEEAAA@@@AAA@@@======???@@@AAAGGGNNNZZZnnnTTTVVVVVVVVVUUUUUUWWWYYYWWWXXXZZZ[[[XXXTTTOOOLLLIIIJJJKKKLLLMMMNNNNNNOOOKKKKKKJJJIIIGGGEEEBBBAAA===<<<;;;::::::999999999:::;;;======<<<;;;<<<===<<<===>>>???????????????@@@DDDJJJQQQZZZcccmmmtttrrrxxx{{{{{{{{{~~~~~~|||zzz{{{{{{|||}}}~~~~~~{{{vvvooofff___XXXXXX\\\eeesssxxxlll^^^TTTHHHDDD@@@???>>>???GGGQQQ]]]gggttt|||~~~}}}pppppprrrtttuuutttpppmmmgggkkkqqqwww{{{~~~~~~|||{{{|||~~~~~~}}}xxxjjj]]]QQQIIIAAA???>>>:::888999777:::888:::DDDMMMddd|||xxx{{{vvvuuuyyyxxxfffZZZMMMHHHFFFGGGJJJOOOYYYdddppp|||wwwfffXXXNNNGGGCCC<<<::::::===???AAAGGGNNNXXXdddpppwww}}}{{{uuupppmmmkkkiiiggghhhmmmvvv}}}vvvnnnbbbYYYTTTRRROOOMMMLLLFFFBBBAAABBBDDDKKKSSSfffwww{{{tttqqqooorrrwwwzzz|||}}}~~~~~~~~~~~~|||zzzvvvrrrpppnnnnnnmmmkkkiiigggeeeccc]]][[[XXXVVVSSSOOOJJJFFFDDDCCCBBB???======>>>@@@??????@@@@@@???===<<<;;;<<<;;;<<>>===<<<:::999888888888777999;;;;;;;;;:::;;;<<<999:::;;;===>>>>>>>>>>>>AAAEEELLLSSS\\\fffooovvvrrrxxx|||{{{{{{~~~~~~|||zzzzzz{{{|||}}}~~~~~~|||vvvmmmccc\\\WWWWWW[[[ffftttwwwkkk]]]TTTFFFBBB>>>===<<<>>>GGGQQQ```iiivvv~~~}}}rrrrrrssstttuuutttpppmmmkkkooovvv|||~~~~~~~~~}}}wwwiii[[[RRRIIIBBB@@@???;;;999:::777:::888;;;DDDMMMddd{{{{{{xxxwww{{{zzziii]]]MMMHHHFFFGGGJJJOOOYYYdddqqq|||yyyhhhZZZOOOHHHEEE>>><<<<<>>===;;;:::<<<;;;===@@@AAADDDMMMWWWcccppp~~~~~~kkkUUUHHHCCC@@@>>>???@@@===<<>>>>>>>>???AAACCCEEEHHHOOOXXXccclllqqqtttvvvwwwxxxzzz|||}}}~~~~~~||||||{{{{{{}}}{{{sssjjjaaa\\\UUUYYYaaammmzzzyyylll\\\PPPGGGAAA======>>>BBBLLLVVVfffmmmvvv}}}~~~wwwsssqqquuuwwwtttrrrrrrsssvvvzzz}}}~~~zzziii\\\VVVJJJBBBAAA@@@<<<999:::===999999===@@@IIIaaayyyzzzvvvxxx|||hhhWWWOOOIIIEEEEEEHHHNNNZZZeeevvv|||jjjZZZMMMEEEBBB;;;<<<======>>>AAAFFFJJJVVV^^^jjjttt{{{{{{xxxtttqqqnnnkkkhhhfffiiikkkqqqzzzssseee\\\WWWSSSQQQOOOIIIDDDCCCDDDDDDIIIPPP___jjjzzz|||vvvtttvvvyyy~~~~~~~~~|||{{{yyywwwvvvyyywwwtttppplllhhheeedddaaa___\\\[[[ZZZXXXUUUSSSPPPNNNLLLJJJIIIHHHEEECCCCCCBBB???===<<<<<<===>>>BBBBBBAAAAAA@@@?????????===;;;<<>>???>>>>>>@@@@@@AAAHHHQQQ___vvvRRROOOKKKIIIHHHHHHGGGEEEJJJLLLOOOQQQPPPNNNJJJGGGCCCBBBAAAAAABBBFFFIIIKKKNNNPPPRRRSSSSSSRRRPPPNNNJJJEEE@@@===<<<<<<;;;:::::::::::::::;;;<<<======:::<<<======<<<===@@@BBBGGGKKKQQQZZZdddmmmrrrtttvvvwwwyyy{{{}}}~~~}}}|||||||||}}}zzzrrriiiaaa\\\VVV[[[cccooo{{{~~~vvviiiYYYNNNEEE@@@===>>>AAAFFFQQQ[[[hhhoooxxx~~~~~~yyytttsssvvvxxxuuurrrsssvvvyyyzzzjjj^^^[[[QQQIIIHHHGGGBBB??????>>>::::::>>>BBBKKKccc||||||yyy|||~~~jjjYYYPPPJJJEEEEEEHHHNNNYYYdddttt~~~|||jjjZZZMMMFFFBBB===>>>>>>===>>>@@@DDDHHHSSS\\\gggqqqyyy~~~{{{vvvrrrooolllhhhfffjjjkkkrrrzzzssshhh```ZZZUUURRRKKKFFFFFFFFFGGGLLLRRR[[[fffvvv~~~zzzxxx{{{~~~~~~|||zzzyyyxxxvvvsssoookkkgggdddccc```^^^[[[ZZZYYYWWWUUUSSSPPPNNNKKKIIIHHHGGGEEEDDDBBB@@@>>><<<<<<<<<===>>>@@@@@@??????>>>============;;;<<>>???>>>???@@@@@@AAAIIIQQQ```wwwWWWSSSNNNJJJGGGFFFDDDBBBEEEHHHLLLOOOPPPNNNKKKHHHDDDBBB???>>>???BBBFFFHHHMMMPPPSSSVVVXXXXXXWWWVVVQQQLLLFFFAAA>>><<<999777999999999999:::;;;<<<===:::;;;<<<;;;;;;<<>>@@@DDDJJJVVVaaakkkqqqzzzzzzvvvuuuwwwxxxuuussstttyyy~~~{{{lllaaa[[[TTTMMMLLLJJJFFFAAA@@@???<<<<<<@@@DDDNNNfff~~~|||{{{mmm[[[PPPKKKFFFFFFHHHMMMXXXbbbrrr~~~|||jjjZZZNNNFFFBBB?????????======???BBBFFFOOOXXXcccnnnwww{{{vvvssspppllliiikkkmmmsss{{{|||pppeee^^^YYYRRRNNNMMMMMMMMMRRRXXX]]]hhhwww~~~~~~yyyxxxuuuqqqmmmiiifffdddaaa___]]]\\\[[[ZZZWWWUUUSSSPPPLLLJJJJJJIIIHHHFFFCCCBBB@@@>>>===>>>???@@@@@@@@@@@@???>>>>>>=========;;;<<>>???AAAAAABBBIIIRRRbbbzzz\\\XXXRRRMMMJJJHHHFFFDDDDDDGGGKKKOOOPPPPPPNNNLLLGGGDDD@@@======???CCCEEEMMMOOOSSSWWWZZZ[[[ZZZZZZUUURRRLLLFFFAAA===:::888777777888888999:::<<<<<<;;;;;;<<<<<<;;;===@@@CCCKKKPPPXXX```gggmmmrrruuuxxxyyyzzz|||~~~}}}}}}}}}}}}|||vvvoooggg```\\\\\\bbblllvvvwwwlll___RRRIIICCC???>>>BBBFFFMMMYYYcccnnnttt|||~~~~~~~~~{{{wwwvvvxxxwwwssssssuuuzzz|||oooeee[[[WWWSSSQQQOOOJJJEEEBBBAAA===>>>BBBEEEOOOggg{{{zzz~~~qqq^^^QQQLLLGGGFFFGGGLLLVVV```qqq~~~|||kkk[[[OOOFFFBBB>>>???>>>======???BBBFFFLLLTTT```llluuu}}}zzzwwwuuurrrooonnnooottt}}}tttjjjccc]]]XXXWWWWWWWWW\\\bbbiiirrr}}}|||yyyuuuqqqmmmjjjiiieeecccaaa``````___]]][[[XXXUUUQQQNNNMMMMMMKKKJJJFFFEEEBBBAAA@@@AAABBBCCCCCCBBBBBBAAAAAA@@@??????===;;;<<<@@@CCCJJJVVVbbbtttsssbbbOOOFFFDDDAAA??????@@@>>>???AAABBBCCCJJJSSSddd}}}aaa]]]VVVQQQNNNMMMKKKJJJIIIKKKNNNQQQSSSSSSSSSSSSMMMIIIDDD???===>>>AAACCCLLLNNNRRRVVVYYYZZZZZZYYYVVVTTTPPPJJJDDD???<<<;;;888777777888999:::;;;;;;<<<============@@@DDDGGGMMMSSS[[[bbbhhhlllqqqtttxxxyyyzzz|||~~~}}}}}}~~~~~~~~~zzztttmmmfffaaa^^^```gggqqq{{{~~~tttiii\\\PPPIIIBBB??????CCCHHHOOOZZZdddrrrwww~~~}}}~~~}}}}}}}}}~~~|||yyywwwxxxvvvrrrrrruuu{{{}}}rrriii``````___\\\XXXTTTMMMHHHCCC@@@@@@CCCFFFPPPhhh{{{xxxzzztttaaaRRRMMMHHHGGGGGGJJJSSS]]]ooo~~~~~~mmm]]]PPPGGGBBB<<<======<<<===???DDDGGGKKKSSS___jjjttt~~~}}}zzzxxxwwwvvvtttrrrppppppuuu|||zzzooohhhcccbbbbbbbbbffflllyyy}}}yyyuuuqqqooommmiiihhhfffeeeeeeeeecccaaa]]]YYYUUUSSSQQQPPPNNNLLLHHHFFFDDDBBBAAAAAABBBCCCCCCCCCBBBBBBAAA@@@@@@@@@>>><<<===BBBGGGNNN\\\hhhyyyooo___NNNFFFCCC@@@???@@@@@@???@@@BBBCCCDDDKKKTTTggghhhccc]]]WWWTTTSSSQQQPPPPPPQQQQQQSSSTTTVVVXXXYYYUUUQQQKKKEEEAAA@@@@@@AAAIIILLLPPPTTTWWWXXXXXXXXXVVVUUURRRLLLFFFAAA???>>>999999888888999999:::;;;<<<===>>>>>>???CCCHHHLLLPPPWWW___fffjjjmmmqqquuuwwwxxxzzz|||~~~~~~~~~~~~~~~|||wwwrrrlllfffbbb```ccckkkvvv}}}rrreeeXXXNNNHHHBBB???@@@EEEJJJQQQ]]]gggtttyyy}}}~~~}}}||||||}}}~~~{{{zzzyyyvvvrrrssswww{{{~~~~~~tttnnncccggghhhddd```[[[TTTMMMHHHDDDCCCFFFIIIRRRiii~~~xxxxxx~~~wwwcccSSSNNNIIIGGGGGGIIIQQQZZZlll|||ooo___QQQGGGBBB<<<<<<<<<<<<<<>>>>>???===???EEEKKKTTTcccppp}}}lll]]]NNNFFFBBB@@@???@@@@@@???@@@CCCCCCEEELLLUUUiiitttooogggaaa]]][[[ZZZYYYWWWVVVUUUTTTUUUXXX[[[]]]\\\YYYRRRLLLFFFBBBAAA@@@FFFIIINNNSSSVVVXXXYYYYYYWWWWWWTTTNNNGGGAAA??????;;;;;;:::999999999999:::;;;<<<===>>>@@@EEEKKKOOOTTT[[[dddjjjmmmooossswwwvvvwwwyyy{{{}}}~~~~~~~~~~~~}}}|||yyyuuupppjjjfffdddbbbfffnnnzzz{{{ooobbbUUULLLGGG@@@>>>@@@GGGNNNVVVbbbmmmuuuzzz}}}|||{{{|||~~~}}}|||xxxsssuuuzzz}}}}}}yyyzzz}}}~~~vvvqqqhhhoooqqqmmmhhhccc[[[SSSMMMIIIHHHJJJLLLTTTkkk~~~|||~~~~~~}}}{{{xxxyyy{{{yyy|||yyydddTTTNNNJJJHHHGGGHHHPPPXXXhhhyyyqqq```RRRGGGBBB=========<<<<<<>>>BBBEEEGGGOOOZZZeeeppp{{{wwwuuurrrppppppooonnnlllmmmllloootttzzz}}}}}}}}}~~~{{{zzzvvvtttssssssttttttrrrqqqnnnllliiifffccc^^^YYYUUUNNNLLLIIIFFFCCCBBBBBBBBBBBBAAAAAA@@@@@@???>>>>>>@@@???AAAGGGOOOYYYiiixxxiii\\\MMMFFFBBB??????AAA@@@???@@@CCCDDDFFFMMMVVVkkkyyyqqqjjjeeecccaaa```\\\YYYVVVTTTUUUXXX\\\___aaa]]]WWWPPPIIIDDDAAA@@@CCCGGGLLLRRRVVVYYYZZZZZZXXXXXXVVVPPPGGGAAA>>>>>><<<<<<;;;:::999999999999:::;;;<<<===@@@EEELLLPPPWWW^^^hhhmmmoooqqquuuyyyvvvwwwxxxzzz|||}}}~~~~~~~~~~~~}}}{{{xxxtttooojjjgggddddddgggppp|||yyymmm```SSSJJJFFF>>>===@@@HHHPPPZZZfffqqqvvv{{{~~~|||zzz{{{}}}~~~zzzuuuwww|||~~~}}}{{{rrrsssvvv{{{wwwrrrqqqyyy|||xxxrrrnnneee\\\QQQMMMKKKMMMOOOVVVmmm|||zzz|||zzzyyyvvvqqqqqqzzz~~~|||zzzyyyeeeTTTOOOJJJHHHGGGHHHOOOWWWeeevvvsssaaaRRRGGGBBB??????>>><<<;;;<<<@@@CCCFFFMMMXXXcccmmmxxxyyywwwtttrrrqqqooommmlllkkkjjjlllqqqvvv}}}|||{{{{{{||||||{{{yyywwwvvvtttqqqmmmhhhaaa\\\TTTRRRNNNJJJGGGFFFFFFFFFDDDCCCCCCBBBBBBAAAAAA@@@AAA@@@BBBIIIQQQ]]]nnn|||~~~hhh[[[MMMFFFBBB??????AAA@@@???AAACCCDDDFFFNNNWWWlll|||tttsssrrrmmmiiiccc___[[[YYYXXXWWWWWWVVVZZZYYYWWWTTTPPPKKKGGGDDDCCCEEEIIINNNRRRVVVXXXYYYZZZYYYVVVRRRNNNIIIDDDBBBAAABBBBBB???<<<999999:::;;;<<<>>>???BBBGGGNNNSSS\\\bbbkkkqqqtttuuuuuutttxxxyyyzzz{{{||||||||||||~~~}}}|||{{{{{{{{{yyyvvvqqqkkkgggeeeeeeeeepppvvv~~~~~~tttiii___TTTJJJDDDAAABBBDDDIIISSS```lllsss{{{~~~|||vvvsssxxxxxxuuuwwwzzzyyyooorrrllljjjpppxxx}}}~~~{{{zzzyyy{{{ooo```YYYRRRMMMNNNQQQZZZqqq|||~~~|||wwwrrrooolllppp~~~zzz{{{|||oooUUUNNNGGGFFFFFFHHHOOOVVVcccqqqvvveeeVVVIIICCCAAA???===;;;;;;===@@@BBBDDDLLLWWWcccnnnyyy~~~yyyuuusssrrrpppooopppoooqqqtttvvv|||~~~yyytttqqqfffaaaYYYSSSNNNKKKHHHGGG@@@AAAAAAAAAAAAAAA@@@???CCCEEEIIIPPPZZZhhhwwwzzziiiYYYIIIDDDDDDCCC@@@???CCC@@@AAADDDFFFIIIQQQZZZmmm~~~{{{xxxsssooohhhddd^^^ZZZXXXVVVTTTRRRUUUTTTSSSQQQNNNKKKGGGEEECCCDDDFFFJJJNNNRRRUUUVVV\\\]]]\\\XXXQQQKKKGGGFFFHHHHHHFFFBBB>>>:::999999;;;<<<===???BBBHHHOOOTTT^^^dddlllsssuuuvvvvvvvvvwwwxxxyyyzzz{{{{{{{{{{{{~~~~~~~~~|||{{{{{{zzzzzzuuurrrmmmgggdddccccccdddqqqwww{{{rrrggg\\\QQQHHHBBBAAABBBDDDKKKUUUaaammmttt{{{zzztttqqqvvv}}}zzzxxxzzz~~~yyyooommmhhhfffkkkrrrvvv{{{~~~||||||{{{mmmccc[[[UUUUUUVVV^^^sss~~~|||vvvpppjjjfffhhhtttxxx{{{mmmYYYQQQIIIGGGGGGHHHNNNTTTbbbpppwwwfffWWWJJJCCCAAA???===;;;;;;===@@@BBBBBBJJJUUU```kkkwww|||yyywwwuuusssrrrrrrppppppssstttyyy~~~rrrmmmeee]]]WWWQQQLLLHHHGGGFFFFFFEEEEEEEEEEEEEEEEEEHHHMMMUUU```nnn|||xxxfffWWWHHHDDDDDDCCC@@@???BBB@@@@@@DDDFFFIIIQQQ[[[qqq|||vvvpppllleee___ZZZVVVSSSPPPOOOOOOPPPOOONNNMMMKKKJJJFFFFFFFFFGGGJJJNNNRRRUUU]]]```ccc___WWWPPPMMMMMMQQQQQQNNNHHHBBB===::::::;;;<<<===???CCCIIIQQQVVVaaagggooouuuwwwxxxxxxxxxwwwxxxyyyzzz{{{{{{{{{zzz~~~~~~~~~~~~}}}|||{{{zzzzzzyyyvvvrrrmmmiiiffffffgggiiitttyyyxxxnnncccXXXNNNFFFAAAAAABBBFFFMMMXXXdddooovvv}}}~~~xxxqqqmmmrrryyy|||zzz~~~yyyooojjjeeecccgggkkknnnrrrwww}}}}}}|||pppggg___^^^___eeexxx~~~xxxoooggg``````jjjvvvwww~~~~~~mmm]]]SSSKKKHHHHHHHHHMMMRRR]]]lllxxxhhhXXXKKKDDDAAA@@@===<<<<<<===???AAA@@@GGGRRR]]]gggsss{{{yyywwwuuutttrrrpppoooqqqrrruuu~~~xxx|||~~~vvvmmmeee[[[SSSNNNKKKJJJGGGEEEDDDDDDEEEFFFIIIMMMTTT]]]iiiwwwtttbbbTTTGGGCCCDDDBBBAAA@@@AAA???@@@DDDFFFIIISSS]]]vvv~~~xxxsssllleee___ZZZVVVSSSNNNNNNOOOOOOPPPQQQRRRRRRMMMKKKIIIHHHJJJNNNSSSVVV[[[aaagggeee]]]VVVUUUVVV[[[ZZZVVVPPPHHHAAA===;;;;;;<<<===???DDDKKKTTTZZZeeejjjqqqwwwyyyyyyyyyzzzyyyyyyzzz{{{||||||{{{{{{~~~~~~~~~~~~~~~}}}}}}|||zzzyyyyyytttqqqmmmiiihhhiiilllnnnwww||||||uuujjj___UUULLLEEEAAA@@@CCCHHHQQQ\\\hhhrrrxxx|||vvvnnnjjjnnnuuu}}}{{{{{{{{{pppjjjeeeccceeeggghhhlllqqq{{{~~~|||{{{~~~{{{qqqiiigggggglll~~~|||rrrhhh___\\\eeepppxxx|||qqq^^^TTTJJJGGGGGGHHHLLLPPPWWWeeeyyyyyyiiiYYYKKKDDDBBB@@@>>><<<<<<===>>>??????FFFOOOYYYdddppp}}}}}}yyywwwuuusssrrrqqqnnnmmmoooppprrryyy|||rrrrrrxxx}}}tttiii___XXXSSSPPPLLLHHHFFFFFFGGGHHHLLLRRR[[[fffrrrppp]]]QQQFFFCCCDDDBBBAAAAAA@@@???AAADDDFFFIIITTT```zzz}}}xxxqqqjjjddd___[[[XXXPPPPPPOOOOOOQQQTTTWWWYYYVVVSSSOOOLLLLLLPPPTTTWWWYYY```ggggggaaa\\\\\\^^^aaaaaa^^^XXXOOOFFF@@@===;;;<<<>>>AAAFFFNNNXXX^^^iiinnntttxxxzzz{{{{{{{{{{{{||||||}}}}}}}}}}}}}}}}}}}}}~~~~~~~~~~~~}}}|||zzzxxxwwwnnnkkkgggeeeeeegggkkknnnzzz~~~yyyrrrggg\\\SSSKKKFFFBBBAAADDDLLLVVVbbbmmmvvv{{{zzzssskkkggglllttt{{{}}}~~~|||yyyzzz|||ssskkkfffcccbbbbbbbbbgggmmmzzz~~~{{{zzz~~~{{{rrrppppppuuu~~~vvvlllbbb]]]ccclll~~~xxxzzzvvv^^^SSSIIIFFFGGGHHHJJJNNNTTTaaauuu{{{kkkZZZLLLEEEBBBAAA???===<<<<<<===>>>???EEEMMMVVVaaammm{{{zzzuuusssqqqooommmnnnkkkjjjmmmoooqqqwww~~~~~~ppplllooozzzwwwmmmgggbbb^^^XXXSSSOOONNNNNNOOOPPPWWWaaannnzzz|||lllZZZOOOFFFDDDDDDBBBAAABBB@@@@@@BBBEEEFFFKKKWWWddd}}}~~~vvvpppjjjfffbbb___WWWUUURRRQQQRRRWWW\\\```___\\\WWWSSSRRRTTTXXX[[[ZZZ```fffgggccc```aaaccccccdddccc___VVVLLLDDD@@@======???BBBHHHQQQ\\\ccclllpppuuuyyy{{{{{{||||||}}}}}}~~~~~~~~~~~~~~~}}}}}}}}}~~~~~~~~~~~~~~~}}}{{{xxxvvvtttmmmjjjgggeeefffjjjooosss{{{}}}tttmmmbbbXXXPPPJJJFFFDDDBBBFFFOOO[[[gggrrrzzzxxxqqqjjjgggllluuuzzz|||}}}zzzwwwxxx~~~wwwnnnhhhccc```^^^^^^dddlll||||||yyy|||}}}zzzzzz}}}~~~|||}}}sssggg___bbbjjj{{{wwwxxxzzzaaaUUUIIIEEEFFFFFFHHHJJJRRR^^^qqqnnn]]]OOOGGGCCCBBB@@@>>>===<<<<<<<<<>>>CCCKKKSSS]]]jjjyyy~~~xxxtttqqqooommmkkkmmmjjjiiimmmppprrrvvv|||qqqiiiiiikkkxxx|||vvvnnnjjjccc\\\WWWTTTSSSSSSTTT\\\hhhtttxxxiiiXXXOOOHHHFFFEEECCCAAABBB@@@AAADDDGGGGGGLLLZZZhhhzzztttoookkkiiiccc___YYYVVVWWW\\\ccchhhkkkhhhbbb^^^\\\]]]```bbb```cccfffgggeeedddcccdddbbbeeegggddd\\\RRRIIICCC>>>???@@@DDDJJJTTT```gggmmmqqqvvvzzz{{{{{{|||}}}}}}}}}~~~~~~~~~}}}}}}|||}}}}}}}}}~~~}}}}}}}}}|||yyyuuurrrpppmmmkkkgggfffhhhnnntttxxx}}}zzzooohhh]]]SSSMMMHHHFFFDDDCCCHHHSSS___lllvvv~~~}}}vvvoooiiigggnnnwww{{{}}}}}}yyyvvvwww}}}{{{sssllleeeaaa^^^^^^fffppp~~~xxxzzz~~~|||}}}oooeeedddjjjyyyyyyzzzgggYYYLLLGGGFFFEEEEEEEEENNNYYYjjj}}}sssaaaSSSKKKCCCBBB@@@>>>===<<<;;;;;;<<>>>>>BBBIIIQQQ[[[jjjxxx}}}{{{vvvrrrrrrnnnmmmllllllmmmooorrrsssyyy~~~~~~jjj]]]UUUQQQRRRYYYbbbkkkvvv{{{zzz~~~{{{sssnnnkkkkkklllsss|||qqqfffZZZUUUOOOJJJGGGFFFDDDCCCEEEEEEHHHKKKNNNUUUfffvvv}}}wwwttttttvvvwwwtttrrroookkkhhhgggfffeeeaaa```___aaaaaa^^^XXXSSSKKKLLLMMMRRRZZZdddmmmssswwwxxxzzz|||}}}~~~}}}}}}}}}}}}}}}}}}||||||||||||~~~~~~~~~~~~~~~~~~~~~~~~||||||zzzxxxtttmmmddd^^^XXXYYYZZZ^^^fffpppzzz|||rrrjjj___VVVNNNIIIEEEBBBEEEJJJOOOVVVaaannnyyyxxxrrrqqqrrrrrruuuyyy}}}|||zzzwwwvvvwww{{{~~~~~~tttmmmkkkjjjjjjsssxxxmmmiiiiiizzz~~~zzzwwwvvvfffUUULLLHHHEEEEEEGGGIIINNNYYYiii{{{vvvdddVVVKKKEEEAAAAAA???<<<;;;<<>>AAAGGGMMMVVVdddqqq~~~zzzwwwqqqmmmmmmggggggggghhhkkknnnqqqssszzznnnaaaPPPLLLJJJNNNSSSXXX```hhhtttxxxuuunnngggfffjjjsss~~~zzzuuuqqqooooootttzzzpppfff\\\XXXQQQLLLJJJHHHFFFEEEEEEEEEHHHLLLPPPYYYjjj{{{zzzvvvvvvxxxzzzvvvtttqqqmmmjjjhhhgggfffbbbaaaaaaaaabbb___[[[WWWPPPQQQRRRWWW^^^hhhrrrwwwxxxyyyzzz|||}}}}}}}}}|||||||||||||||}}}}}}}}}}}}~~~~~~~~~~~~~~~~~~~~~~~~|||{{{zzzxxxsssjjj```YYYTTTUUUXXX^^^gggqqq{{{yyynnnfffZZZRRRKKKGGGDDDBBBEEEJJJOOOXXXeeerrr{{{yyyttttttuuuvvvxxx|||{{{zzzyyywwwwwwyyy|||~~~{{{{{{tttooonnnnnnpppyyyttthhhccccccrrr~~~||||||kkkYYYNNNIIIEEEEEEFFFHHHLLLVVVddduuu{{{hhhYYYMMMGGGBBBAAA@@@<<<;;;======<<<>>>CCCIIIQQQ___lll{{{|||vvvrrrlllhhhhhhccccccdddfffjjjnnnrrruuu~~~mmmaaaRRRLLLIIIJJJLLLNNNSSSZZZ```eeemmmvvv}}}~~~{{{kkkccc[[[XXXZZZbbbppp~~~}}}|||sssuuuvvvuuusssqqqrrrrrrzzz}}}nnneee]]]YYYSSSOOOLLLJJJHHHFFFEEEFFFIIIMMMRRR\\\ooo}}}yyyxxxzzz|||yyywwwsssoookkkiiigggfffcccbbbaaaaaa___]]]ZZZWWWUUUVVVXXX\\\dddllltttyyyyyyyyyzzzzzz{{{{{{{{{{{{{{{{{{||||||}}}}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~|||{{{zzzwwwqqqhhh^^^VVVQQQSSSXXX___iiisss|||vvvjjjbbbWWWOOOHHHEEECCCAAAEEEKKKPPPYYYgggttt|||zzzvvvwwwyyyyyyzzz~~~zzzyyywwwwwwxxx{{{}}}~~~zzzvvvsssppppppqqquuu~~~~~~pppeee``````lllqqq]]]PPPJJJFFFEEEFFFHHHLLLTTT```ppp~~~kkk[[[PPPIIICCCBBB@@@<<<;;;===;;;:::;;;@@@FFFNNN[[[hhhwww|||vvvqqqjjjffffffccccccdddgggkkkpppuuuwww~~~kkk```RRRMMMHHHHHHHHHHHHLLLRRRRRRVVV^^^gggpppvvvwwwvvvggg^^^UUUPPPPPPUUUaaammm}}}xxxuuutttiiikkknnnpppqqqsssvvvxxx~~~zzzlllccc___[[[VVVQQQOOOLLLJJJHHHGGGGGGKKKOOOUUU```ttt~~~|||}}}~~~{{{yyyuuuqqqmmmjjjhhhgggcccbbbaaa___\\\ZZZXXXWWWZZZ[[[___cccjjjpppvvvzzzzzzzzzzzzzzzzzzzzz{{{{{{zzz{{{{{{|||}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~}}}{{{yyyuuupppggg]]]VVVQQQTTTYYYaaakkkuuu~~~|||rrrfff^^^TTTLLLFFFDDDBBBBBBGGGMMMTTT]]]kkkvvv}}}{{{xxxzzz{{{zzz|||~~~yyywwwvvvwwwyyy|||~~~~~~{{{sssrrrrrrrrruuu{{{vvviii```]]]]]]fff|||vvv```SSSKKKFFFDDDFFFHHHLLLRRR\\\jjj{{{ooo^^^RRRKKKEEEBBB@@@===<<<>>>;;;999:::???CCCJJJXXXdddsss|||wwwpppkkkjjjggghhhiiikkkoootttyyy{{{~~~mmmaaaRRRMMMHHHGGGFFFDDDGGGLLLKKKMMMRRRZZZcccjjjmmmnnnddd[[[QQQKKKHHHJJJSSS^^^sssyyyqqqllliiiccceeeiiimmmqqqwww}}}xxxllleeeaaa^^^YYYUUURRROOOLLLJJJKKKKKKNNNSSSYYYeeeyyy|||xxxsssooollljjjiiiddddddccc```^^^\\\[[[[[[___aaaeeekkkpppuuuxxxzzz||||||{{{{{{{{{{{{{{{{{{zzzzzz{{{|||}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~{{{xxxtttnnnfff]]]WWWRRRUUU[[[dddnnnxxxyyynnnbbbZZZOOOIIIDDDCCCCCCDDDJJJQQQ[[[dddpppxxx}}}{{{yyy{{{}}}{{{{{{~~~xxxvvvuuuvvvzzz~~~~~~||||||~~~~~~zzzqqqssstttuuuyyy}}}ooobbbZZZXXXYYY^^^qqqyyycccUUULLLFFFDDDEEEHHHKKKPPPXXXddduuuuuudddTTTLLLFFFCCC@@@===<<<>>>===;;;;;;>>>AAAGGGSSS___pppyyytttrrrmmmnnnoooqqqtttyyy}}}rrrhhhWWWQQQLLLJJJHHHEEEGGGKKKJJJJJJLLLPPPWWW^^^ccceee```XXXNNNHHHDDDDDDLLLUUUfffzzz}}}}}}xxxnnnfffaaa^^^aaaeeejjjpppyyyyyypppjjjeeeaaa]]]YYYVVVSSSPPPNNNPPPPPPSSSXXX^^^jjjzzzvvvqqqnnnlllkkkggggggfffdddaaa```aaabbbbbbeeejjjoootttxxxzzz{{{~~~}}}}}}||||||||||||}}}yyyzzz{{{|||}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~|||xxxsssmmmfff^^^XXXSSSVVV]]]fffpppyyy}}}vvvlll```WWWLLLFFFBBBBBBDDDGGGMMMTTTbbbjjjttt{{{~~~|||zzz|||}}}{{{{{{}}}xxxuuutttvvv{{{{{{xxxwwwyyy}}}~~~zzzvvvqqqtttvvvxxx|||yyyjjj]]]VVVTTTUUUYYYiii|||eeeVVVLLLFFFDDDEEEGGGJJJNNNUUU```qqqzzziiiUUUMMMFFFCCCAAA===<<>>@@@EEEPPP[[[ooo{{{yyyrrrrrrssstttwww{{{xxxnnn___YYYSSSPPPMMMJJJJJJNNNMMMKKKJJJLLLRRRXXX]]]```^^^VVVNNNHHHDDDCCCJJJRRR___ttt~~~~~~|||zzzyyyzzz~~~zzznnneee___[[[]]]aaafffnnnyyy{{{sssnnngggddd```\\\YYYVVVSSSPPPTTTUUUWWW\\\bbbnnnxxxqqqmmmkkkkkkgggggggggfffeeecccbbbaaaeeeggglllqqqvvvyyy{{{|||}}}|||zzzxxxwwwvvv}}}}}}}}}~~~~~~}}}}}}}}}}}}}}}~~~{{{{{{xxxrrrjjjccc^^^\\\WWW]]]eeelllrrrxxx}}}ttthhh\\\UUUIIIGGGDDDAAABBBHHHQQQXXXffflllttt{{{}}}{{{{{{~~~}}}{{{tttssssssuuuyyy}}}~~~~~~zzzyyyxxxyyyzzzyyyvvvtttqqquuuxxx}}}pppeee\\\TTTQQQQQQXXXddd{{{~~~|||lllYYYNNNIIIFFFDDDEEEFFFJJJRRR[[[ggg{{{sss```SSSGGGBBB@@@>>><<<===<<<;;;<<>>???AAAIIIRRRfffttt~~~{{{yyywwwwwwyyy{{{|||}}}{{{zzz}}}vvvppphhhccc```]]]ZZZVVVQQQOOOMMMNNNPPPSSSUUUUUUVVVPPPJJJIIIGGGFFFIIIOOOYYYlllzzzyyywwwtttqqqoooooopppsss||||||nnneee___bbbhhhpppzzzzzzvvvssssssrrrooojjjddd^^^[[[ZZZYYYYYY\\\ccckkkxxx|||vvvqqqnnnllllllkkkjjjiiihhhhhhgggiiilllppptttxxxzzz|||}}}|||||||||||||||{{{{{{{{{zzzzzz{{{{{{|||}}}}}}~~~}}}}}}||||||{{{{{{{{{{{{xxxwwwtttmmmfff___[[[ZZZ___eeemmmtttyyy~~~xxxnnncccXXXQQQHHHGGGEEEEEEIIIRRR]]]eeeqqquuu{{{}}}zzzyyyyyyyyyyyyxxxwwwvvvvvvwwwyyyyyywwwuuurrrsssvvv{{{wwwwwwwwwxxxyyyxxxtttrrrooorrrvvv|||zzzggg[[[RRRLLLJJJLLLPPPWWWiii|||zzzvvvaaaTTTLLLGGGEEEDDDCCCEEEJJJQQQ]]]qqqlll^^^PPPHHHDDD???<<<<<<===;;;;;;===<<<===DDDMMM^^^mmm}}}|||yyyvvvvvvwwwxxxyyyxxxxxxwwwxxx}}}wwwrrrooolllgggccc[[[YYYVVVUUUUUUWWWWWWWWWWWWPPPJJJIIIGGGGGGKKKPPPZZZlllzzzyyyvvvsssooollljjjhhhhhhqqqxxxooogggjjjpppxxx}}}|||{{{zzzzzzwwwrrrkkkeeeaaa___^^^^^^bbbiiiqqq}}}{{{uuuqqqoooooonnnmmmlllllllllkkkmmmooorrrvvvyyy{{{|||}}}}}}}}}|||||||||{{{{{{{{{yyyyyyyyyzzz{{{{{{|||||||||||||||{{{{{{zzzyyyyyywwwuuurrrkkkddd___\\\\\\bbbiiiqqqxxx|||}}}tttkkkaaaWWWPPPHHHGGGFFFGGGLLLVVVbbbjjjtttxxx}}}~~~{{{xxxwwwwwwwwwvvvuuussstttuuuwwwxxxwwwuuusssrrrtttyyyxxxxxxxxxyyyzzzxxxuuusssqqqtttxxx~~~vvvcccUUUMMMHHHGGGJJJMMMQQQ___zzz{{{{{{}}}{{{gggWWWMMMGGGDDDDDDCCCCCCGGGMMMXXXkkk{{{nnn```QQQJJJFFFBBB???@@@<<<:::;;;<<<<<<<<>>===<<>>===>>><<<===>>><<<:::>>>EEEJJJWWWkkk~~~{{{xxxwwwwwwxxxyyyxxxwwwtttuuuzzz{{{pppddd[[[SSSMMMNNNRRR[[[mmm~~~}}}}}}yyytttuuuzzz{{{wwwvvvtttsssrrrsssuuuvvvtttuuuvvvxxxyyyyyyxxxxxxxxxxxxxxxyyyyyyzzzzzzzzzwwwxxxxxxyyyyyyzzz{{{{{{}}}}}}~~~~~~}}}{{{xxxwwwllljjjfffbbb^^^^^^aaadddmmmsss|||yyyoooeee[[[SSSKKKGGGBBBGGGNNNVVV___iiisssyyy{{{yyyuuussssssrrrqqqpppmmmrrryyy|||zzzwwwuuutttvvvyyy{{{vvvttttttwwwyyyzzzzzzoooaaaPPPFFFAAA===>>>AAA???BBBIIIVVVlll{{{sssxxxeeeVVVMMMIIICCCBBBCCCEEEFFFKKKVVVcccsssrrr___TTTLLLFFFBBBBBB???>>>>>>>>>;;;777;;;AAAFFFRRRfffzzz|||yyyvvvvvvvvvvvvuuurrrppprrrwww{{{wwwjjj___UUUNNNNNNRRR[[[nnnyyyzzz|||zzzxxxuuurrrqqqrrrtttuuuvvvvvvwwwwwwwwwxxxxxxxxxyyyzzzzzz{{{{{{zzzzzzyyyxxxxxxyyyzzzzzz{{{|||||||||||||||}}}~~~{{{wwwtttmmmeee^^^]]]^^^___ccchhhtttwww||||||ssshhh```XXXNNNIIIIIIGGGJJJOOOYYYeeepppyyy}}}}}}vvvpppmmmnnnqqqsssrrruuuyyy{{{{{{yyyyyyyyyyyy|||{{{wwwtttssstttuuuzzz{{{lll[[[JJJCCCBBB@@@===<<<===???EEEPPP```yyy~~~~~~www{{{}}}iii[[[PPPIIIDDDBBBAAACCCDDDGGGPPPZZZmmmzzziiiYYYNNNHHHCCC@@@<<<<<<;;;;;;<<<===>>>???EEEKKKZZZqqq{{{vvvsssrrrrrrqqqqqqqqqqqqpppqqqtttzzzoooaaaXXXRRRRRRVVV___ppp}}}{{{yyyvvvtttssstttuuuvvvwwwwwwwwwxxxxxxxxxxxxyyyxxxyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxyyyzzzzzz{{{{{{|||||||||}}}}}}zzzvvvsssmmmddd^^^]]]___aaafffkkkuuuxxx}}}~~~zzzpppfff___WWWNNNIIIIIIIIILLLSSS^^^iiittt|||}}}vvvppplllllloooqqqrrruuuyyyzzzzzzyyyxxxyyyyyy|||{{{wwwtttsssssssssyyyyyyiiiYYYIIIBBBAAA???===<<<>>>???DDDLLLZZZqqq}}}wwwxxxnnn___RRRJJJEEEBBBAAABBBCCCFFFNNNWWWeeeyyymmm]]]QQQIIIDDDAAA???>>>===<<<;;;<<<<<<===DDDIIIVVVkkk}}}xxxuuutttsssrrrqqqoooooonnnnnnpppuuu}}}pppcccYYYTTTUUUXXX___qqq}}}{{{yyywwwvvvuuuvvvwwwxxxxxxxxxxxxxxxyyyyyyyyyyyywwwxxxxxxyyyyyyxxxxxxwwwwwwwwwxxxxxxyyyyyyzzzzzz||||||||||||{{{yyytttqqqlllddd]]]]]]___cccjjjpppwwwzzz~~~|||vvvlllbbb[[[TTTMMMIIIIIIKKKPPPZZZeeepppyyyyyyrrrnnnmmmooopppsssvvvxxxyyyxxxxxxxxxxxxyyyzzz{{{|||{{{|||~~~}}}{{{wwwuuusssrrrrrryyy~~~tttdddVVVGGGBBBAAA>>><<<;;;>>>>>>AAAGGGQQQeee|||yyywwwtttdddVVVKKKGGGCCCAAABBBBBBDDDJJJRRR\\\ooouuucccUUUKKKEEEBBBAAA@@@>>><<<;;;::::::;;;BBBEEEOOObbbuuu}}}yyywwwuuutttrrrpppooommmlllmmmqqqwww|||pppddd[[[VVVWWW\\\aaasss|||yyyxxxwwwvvvvvvvvvwwwxxxxxxxxxyyyyyyyyyzzzzzzzzzxxxxxxyyyyyyyyyyyyxxxxxxwwwwwwwwwxxxxxxyyyyyyyyy||||||{{{{{{zzzwwwsssooojjjbbb\\\]]]aaafffmmmuuuzzz||||||xxxqqqggg^^^XXXRRRLLLIIIJJJNNNUUU```llluuu}}}}}}vvvrrrpppqqqrrruuuvvvxxxxxxwwwvvvwwwxxxxxxxxxxxxvvvuuuuuuxxx{{{}}}|||zzzxxxvvvtttsssrrrzzzyyyooo^^^QQQEEE@@@???===;;;;;;======???BBBJJJZZZvvv~~~}}}}}}yyy}}}{{{{{{iiiYYYMMMIIIDDDAAAAAAAAABBBGGGMMMUUUggg{{{}}}jjjZZZNNNFFFBBBAAA@@@>>><<<;;;::::::;;;>>>@@@HHHXXXjjj~~~}}}{{{yyyvvvuuurrrqqqooolllkkknnnrrrvvv}}}oooddd\\\XXXYYY^^^fffyyy|||}}}zzzvvvvvvuuuuuuuuuvvvwwwwwwxxxxxxyyyyyyyyyzzzzzzzzzyyyyyyzzzzzzzzzzzzyyyyyywwwwwwxxxxxxxxxxxxyyyyyy|||{{{{{{{{{zzzwwwrrroooiiiaaa]]]^^^ccciiiqqqxxx}}}~~~~~~xxxtttlllcccZZZUUUPPPKKKJJJLLLPPPYYYeeeqqqyyy~~~xxxsssrrrrrrsssvvvwwwwwwvvvuuutttvvvwwwxxxwwwtttqqqooopppsssvvvyyyyyyxxxvvvuuuttttttttt|||ssshhhXXXMMMBBB???>>>;;;:::;;;;;;;;;===@@@EEERRRkkk~~~|||{{{~~~zzzwwwzzzooo]]]OOOKKKEEEAAAAAAAAAAAADDDIIIRRR```ssssssaaaRRRHHHCCC@@@???===<<<;;;;;;;;;<<<;;;<<>>===:::999:::888999<<>>===<<<999888:::777999===??????EEEVVVfff}}}wwwyyy||||||wwwsssuuuwww|||{{{hhhZZZMMMFFFAAABBBCCCBBBBBBEEEJJJRRRaaarrrrrr___QQQKKKBBBAAA>>><<<::::::::::::;;;;;;>>>EEENNN^^^vvv|||xxxvvvooonnnkkkgggcccbbbdddfffiiippp|||vvvmmmhhhfffjjjooo{{{uuuuuuzzz{{{wwwxxxxxxwwwuuuuuuyyy|||~~~{{{xxxuuurrrrrrsssssstttuuuvvvwwwwwwvvvvvvwwwwwwwwwxxxxxxxxxxxxxxxxxxyyyyyyxxxxxxxxxzzzzzzzzzzzzzzzzzzzzzzzz{{{zzz{{{||||||zzzvvvsssnnniiihhhmmmssswww|||}}}wwwqqqlllddd[[[SSSPPPNNNLLLNNNRRR^^^gggrrr{{{{{{xxxvvvvvvwwwxxxyyyxxxvvvsssqqqqqqtttvvvuuutttqqqmmmhhhggghhhjjjkkkjjjhhhhhhjjjnnnrrruuu}}}xxxnnn___SSSJJJCCC===<<<;;;888888:::777999===???>>>AAAOOO^^^xxxvvvxxxzzz|||wwwsssssstttxxx~~~lll^^^NNNGGGAAABBBCCCBBBCCCDDDFFFLLLZZZlll|||xxxdddUUUNNNEEECCC@@@===:::888888777===<<<>>>CCCIIIWWWnnn}}}zzzwwwtttqqqpppmmmiiieeedddeeegggfffmmmxxx{{{rrrmmmlllooouuu|||tttqqqttt~~~~~~|||wwwsssoooppppppnnnllllllpppsss||||||yyyxxxxxxwwwsssppppppqqqrrrtttuuuwwwxxxyyyvvvvvvwwwwwwwwwxxxxxxxxxxxxyyyzzzzzz{{{{{{zzzzzz{{{zzzyyyxxxyyyzzz{{{||||||||||||{{{zzzwwwuuutttnnnllllllooovvv|||~~~zzztttmmmiii___XXXRRRPPPOOOOOOSSSYYYgggnnnwww|||zzzwwwtttssstttuuuvvv{{{yyywwwuuuttttttuuuvvvwwwvvvtttpppkkkgggeeeeeehhhgggeeeeeegggkkkpppsss}}}~~~qqqbbbVVVOOO???>>><<<:::999999999999666777:::=========EEEOOOkkk}}}zzz{{{|||sssoooooosss~~~ssscccRRRKKKDDDCCCBBB??????AAA???JJJUUU```pppsss```TTTJJJEEE>>><<<<<<===;;;999::::::<<<@@@EEEQQQfffyyy~~~{{{yyywwwvvvssspppmmmkkkjjjiiippprrrzzz}}}wwwuuuzzzuuupppqqqvvvzzz{{{zzzzzz{{{vvvrrrppppppffffffdddaaa^^^^^^bbbfffpppuuu{{{}}}zzzzzzwwwuuuuuuvvvuuusssqqqpppppprrrsssuuuvvvwwwxxxwwwwwwwwwwwwwwwwwwxxxxxxxxxyyyzzzzzz{{{{{{zzzzzz{{{zzzyyyyyyyyyzzz{{{{{{|||||||||{{{yyywwwuuusssooonnnnnnqqqwww}}}|||xxxrrrkkkfff^^^WWWQQQPPPPPPQQQWWW^^^jjjpppyyyzzzyyyvvvttttttuuuvvvwwwzzzyyywwwvvvuuuuuuvvvvvvvvvvvvtttqqqmmmiiifffeeeeeecccbbbbbbeeekkkqqqtttxxxzzz{{{vvvjjj[[[OOOIII>>>===;;;999888888888999888777999<<<===>>>DDDLLL^^^uuu}}}}}}uuuooommmpppyyywwwgggVVVMMMFFFDDDBBB@@@@@@BBB>>>GGGQQQ[[[kkkxxxeeeXXXKKKGGGAAA===<<<<<<;;;999888777999<<<@@@III]]]nnn~~~}}}|||yyyvvvsssqqqooonnnsssvvv|||~~~{{{tttssstttvvvwwwyyy{{{zzzxxxuuuuuuvvv}}}|||yyyyyyxxxuuuqqqmmmjjjiiidddbbb___ZZZWWWXXX\\\```eeejjjrrrxxx}}}|||zzzwwwuuussssssrrrqqqrrrssstttsssqqqpppqqqqqqssstttuuuvvvvvvxxxxxxwwwwwwwwwwwwwwwwwwyyyyyyzzz{{{{{{{{{{{{zzz{{{{{{zzzzzzyyyzzzzzz{{{||||||{{{zzzyyyvvvuuutttrrrqqqqqqtttyyy~~~{{{vvvooohhhccc[[[TTTOOOOOOQQQUUU]]]eeennnttt{{{~~~|||xxxwwwvvvuuuuuuvvvwwwxxxyyyyyyxxxwwwwwwvvvvvvvvvuuuuuutttrrroookkkgggeee```___^^^___ccckkkrrrwwwvvvwwwuuummmaaaTTTIIICCC===;;;:::888777777777888:::777777;;;===>>>AAAFFFQQQfff|||tttnnnmmmuuu~~~nnn[[[QQQHHHEEECCC@@@???AAA<<>>AAAKKK\\\vvv}}}sssnnnsss{{{ttt```UUUIIIEEECCC@@@>>>???<<<@@@GGGOOO\\\nnntttgggWWWSSSLLLDDD>>><<<===>>><<<<<<===>>>>>>CCCRRRaaa{{{~~~zzzwwwuuuttttttuuu{{{}}}yyyvvvvvvuuusssqqqqqqqqqrrrtttyyy|||wwwpppkkkkkkkkkmmmnnnmmmiiiddd```aaa___\\\YYYUUUSSSSSSSSSUUUXXX\\\aaaffflllqqqssszzz~~~tttpppjjjffffffggghhhhhhlllmmmnnnooooooooopppqqqqqqqqqrrrsssuuuvvvwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwyyyzzz{{{{{{||||||{{{{{{|||||||||{{{{{{zzzzzzzzz{{{zzzyyyxxxwwwvvvvvvvvvwwwxxxzzz{{{}}}}}}xxxrrrkkkccc^^^TTTOOOMMMPPPVVV]]]gggpppvvvzzz}}}{{{zzzzzzyyyxxxsssssstttuuuvvvvvvvvvvvvtttvvvxxxzzzzzzyyyvvvuuupppooonnnooonnnlllfffbbb]]]\\\]]]```fffoooxxx~~~{{{pppcccVVVJJJAAA<<<:::999777666555666666777;;;777666999<<<;;;;;;>>>GGGSSSiii{{{rrrtttzzz{{{fffYYYKKKEEEBBB???=========???DDDJJJTTTdddwww}}}qqq]]]WWWMMMDDD>>>;;;;;;<<<777888:::<<<;;;???KKKYYYuuu|||xxxuuusssqqqooopppvvv~~~{{{xxxvvvtttsssrrrtttxxx~~~{{{vvvooojjjiiiiiijjjlllmmmjjjddd```^^^]]]]]][[[YYYVVVRRROOOQQQRRRTTTWWW\\\aaadddfffmmmrrrxxx~~~~~~{{{pppkkkccc^^^]]]___```aaafffhhhjjjkkkkkkkkkmmmoooooopppqqqrrrtttvvvwwwxxxvvvvvvwwwwwwwwwxxxxxxxxxzzzzzz{{{||||||||||||{{{|||||||||||||||{{{zzzyyyyyyxxxwwwwwwwwwwwwxxxxxxxxxzzz}}}~~~~~~zzzuuuppphhhaaa\\\TTTPPPOOOTTT[[[bbbkkktttxxx|||{{{wwwvvvuuuuuutttqqqrrrtttuuuuuuuuutttsssqqqssswwwzzz{{{yyyvvvsssooommmkkklllmmmlllgggccc___```aaaeeelllttt|||wwwiii[[[NNNEEE===999999888777666555666777777999666777::::::888999===@@@IIIZZZqqqwwwuuuzzzmmm^^^MMMFFFCCC@@@===<<>><<<:::888888999<<<>>><<<>>>IIIUUUooo|||xxxtttrrrqqqnnnmmmrrrzzz~~~{{{wwwtttuuuxxx}}}~~~zzzzzz|||~~~}}}yyysssnnnhhhhhhiiikkkmmmjjjddd___[[[ZZZZZZ[[[ZZZWWWRRRNNNMMMLLLLLLOOOTTTXXX[[[\\\```dddjjjpppvvv~~~}}}|||~~~~~~|||{{{{{{zzzyyywwwpppiii___XXXUUUVVVXXXYYY\\\___cccdddeeefffjjjlllkkklllnnnppprrruuuvvvwwwuuuuuuvvvwwwxxxyyyyyyzzzzzzzzz{{{||||||||||||||||||}}}}}}}}}|||{{{yyyxxxwwwvvvvvvvvvwwwxxxyyyzzzyyy|||}}}zzzvvvqqqllleee^^^YYYVVVSSSTTTZZZaaagggoooxxxxxx|||~~~xxxsssqqqppppppooooooqqqsssttttttsssqqqpppnnnqqqvvvzzz{{{yyyuuurrrpppmmmjjjkkkmmmmmmiiieeecccdddggglllrrryyy|||qqqbbbSSSIIIBBB<<<999999888777666666666777888666666888:::888555888===<<>>===???>>>@@@DDDHHHPPPaaarrrnnn```PPPFFFCCCBBB===999:::<<>>GGGRRRcccxxx|||yyyvvvtttqqqooopppvvvzzz|||~~~zzzwwwxxxzzz||||||yyywwwwwwvvvtttwwwzzz~~~~~~{{{yyytttvvvzzz~~~}}}xxxtttllljjjiiilllnnnlllgggaaa\\\ZZZXXXXXXYYYXXXUUURRRNNNKKKIIIJJJMMMOOOPPPOOOTTTWWW\\\bbbiiittt~~~|||rrrpppooopppsssvvvwwwxxxzzzxxxvvvuuuvvvvvvuuutttqqqiii^^^UUUPPPPPPQQQRRRTTTXXX\\\___```cccgggkkkhhhiiikkknnnqqqsssuuuvvvttttttuuuwwwxxxyyyzzz{{{zzz{{{{{{||||||||||||||||||}}}}}}}}}}}}{{{yyyxxxuuuuuuuuuuuuwwwyyy{{{|||yyy|||~~~yyywwwsssooojjjccc\\\WWWYYYVVVXXX___eeekkkrrrzzzxxx|||}}}vvvpppnnnmmmmmmllloooppprrrttttttrrrpppnnnlllpppvvvzzz{{{xxxtttqqqqqqmmmjjjjjjmmmnnnkkkgggfffhhhkkkpppvvv|||yyynnn^^^PPPGGGBBB>>><<<999999777666666777888888444555999;;;777444777>>><<>>BBBDDDJJJZZZkkkwwwgggUUUJJJIIIIIICCC===888999<<<===999888@@@JJJXXXmmm}}}zzzyyyvvvqqqqqqtttwwwwwwxxx{{{~~~xxxxxxxxxxxxzzz|||}}}~~~zzz{{{}}}~~~zzzuuurrrpppooonnnlllooosssxxxzzzyyyxxxvvvpppsssxxx~~~{{{wwwpppmmmlllnnnpppooojjjddd___\\\XXXWWWYYYZZZZZZYYYRRRNNNIIIGGGHHHHHHFFFEEEMMMPPPTTTYYYaaammm{{{ooosssxxx{{{|||zzzvvvsssmmmiiieeedddfffiiikkkmmmlllkkkkkklllmmmnnnmmmlllmmmkkkbbbUUULLLKKKKKKIIINNNQQQUUUWWWXXXZZZ^^^aaaccccccdddhhhmmmqqqttttttsssvvvxxxyyyyyyyyyzzz{{{{{{{{{|||}}}}}}}}}}}}}}}{{{|||}}}~~~}}}|||yyyxxxssstttuuuvvvyyy{{{}}}~~~}}}~~~{{{xxxuuupppjjjccc^^^[[[YYYXXXZZZ^^^dddlllsssxxxyyy~~~|||xxxrrrmmmhhheeedddjjjnnnrrrtttssspppnnnmmmmmmnnnqqquuuxxxyyywwwuuurrrqqqpppnnnlllkkkkkkkkkjjjmmmpppuuu}}}wwwssseeeUUUJJJBBB<<<:::;;;888888777666555444333333555555555666666666666777>>>===@@@IIIZZZrrryyyuuuwww}}}ooo[[[MMMGGGDDDAAA=========>>>AAACCCGGGRRR^^^sssrrr^^^OOOHHHDDD???;;;???===;;;:::;;;===AAACCCQQQ___ttt~~~zzzwwwtttpppoooppprrrtttuuuwww~~~{{{xxxttttttuuuvvvuuussssssssstttvvvzzz}}}}}}}}}~~~zzzsssnnnkkkiiihhhgggddddddfffnnnvvvyyywwwsssqqqnnnnnnttt}}}~~~uuuooojjjkkkoooqqqnnnkkkccc\\\TTTSSSWWWZZZYYYVVVRRRPPPLLLFFFBBBAAADDDGGGIIIHHHJJJPPPWWWaaaqqq~~~fffiiinnnssstttssspppmmmfffccc^^^\\\]]]```bbbcccgggfffeeefffggghhhhhhhhhkkklllfffYYYOOOKKKIIIGGGGGGJJJNNNPPPPPPRRRVVVYYY______```dddhhhmmmppprrrtttvvvyyyzzzyyyyyyzzz|||{{{{{{|||}}}~~~~~~~~~~~~|||}}}~~~~~~}}}{{{yyyxxxttttttuuuwwwyyy{{{}}}~~~}}}~~~~~~{{{vvvsssmmmgggaaa\\\YYYXXXYYY[[[```gggooouuuxxxzzz}}}wwwqqqkkkgggeeedddkkkooosssuuussspppmmmlllmmmnnnqqqtttxxxyyyzzzyyywwwvvvssspppllljjjjjjjjjlllppptttxxx~~~|||tttnnn```PPPFFF???999777999777777666666555555444444444444555555555666666666;;;;;;>>>FFFRRRgggzzzvvvxxxttt___PPPIIIEEEBBB???===<<<===@@@AAAEEEOOOZZZmmmzzzxxxdddTTTLLLGGGAAA===>>>===;;;:::;;;===???AAAKKKWWWiii{{{|||yyyuuuqqqooooooqqqqqqqqqrrrwww~~~yyyvvvrrrqqqrrrsssrrrpppooooooooorrrvvvyyyzzzzzz}}}yyysssnnnjjjgggeeeddd``````bbbiiiqqqvvvvvvtttpppmmmkkkpppyyyxxxrrrllljjjnnnqqqpppnnneee]]]TTTQQQSSSUUUUUUTTTTTTRRROOOJJJEEECCCDDDFFFHHHGGGIIINNNTTT]]]lllyyyZZZ^^^ccchhhkkkkkkiiihhhaaa\\\WWWSSSTTTVVVXXXYYY```___^^^^^^___aaacccdddgggllljjj___SSSKKKFFFCCCAAACCCEEEGGGHHHJJJMMMPPPVVVWWWYYY\\\aaagggkkknnnuuuwwwzzz{{{zzzzzz{{{|||zzz{{{|||~~~~~~~~~~~~}}}{{{yyyxxxtttuuuuuuwwwyyy{{{}}}~~~}}}~~~~~~zzzsssoooiiiccc]]]YYYWWWVVV[[[___eeemmmssswwwzzz{{{~~~vvvoooiiieeeddddddkkkooosssuuutttqqqnnnmmmooopppqqqsssvvvzzz}}}~~~|||yyysssmmmjjjjjjkkkoootttyyy|||xxxnnneeeXXXJJJAAA<<<666444555555555555555555555555555333444444444555555555555666888===AAAHHHXXXttt}}}yyyzzz{{{fffVVVLLLGGGCCC@@@===<<<<<<>>>???AAAJJJSSScccpppmmm]]]SSSLLLEEE@@@>>>===<<<;;;;;;<<<===>>>DDDKKKYYYhhhyyy~~~zzzwwwssspppppppppoooooonnnrrrxxx}}}}}}wwwsssooollllllmmmmmmmmmiiiiiiiiilllqqqtttvvvvvv{{{xxxtttnnnhhhdddaaa___\\\[[[\\\aaajjjrrrvvvwwwppplllhhhjjjrrr{{{~~~wwwoookkkllloooqqqqqqkkkbbbXXXQQQPPPQQQRRRRRRUUUUUUSSSOOOJJJFFFEEEEEEIIIHHHIIINNNTTT\\\iiivvvQQQUUUZZZ___cccddddddddd^^^ZZZTTTPPPOOOQQQSSSSSSZZZYYYXXXWWWWWWZZZ]]]```bbbiiillldddWWWMMMFFFAAA??????@@@AAABBBDDDFFFHHHJJJLLLOOOSSSYYY```gggllltttwwwzzz||||||{{{||||||zzz{{{}}}}}}{{{yyyxxxuuuuuuvvvwwwyyy{{{}}}~~~}}}~~~|||xxxqqqmmmfff```[[[YYYXXXXXX^^^dddlllsssxxx{{{|||}}}}}}uuummmgggeeeeeefffjjjmmmrrruuutttrrrqqqqqqssssssssssssuuuyyy~~~xxxpppkkkkkklllqqqwww}}}}}}sssiii]]]QQQDDD>>>999444333444444444444555555666666666333333333444444444555555333666<<>>;;;;;;===>>>>>>EEELLLYYYeeexxxxxxhhh[[[RRRIIICCC>>>======<<<<<<<<<<<<<<>>===EEEZZZnnnzzzwwwdddUUUKKKDDDAAA>>>;;;;;;=========AAAGGGQQQ\\\mmm~~~ssseeeYYYNNNGGG@@@???>>>===<<<;;;;;;;;;======BBBKKKUUUddd{{{~~~|||zzzyyyyyyxxxvvvuuutttuuuxxxzzz~~~~~~}}}}}}{{{~~~~~~zzzuuusssrrrpppnnnkkkgggeeedddeeegggcccbbbbbbdddhhhllloooooouuuuuutttppphhh```\\\ZZZ[[[XXXUUUVVV]]]hhhsssyyywwwssslllffffffllluuu|||zzzqqqjjjhhhjjjlllppplllddd[[[TTTPPPPPPQQQQQQTTTVVVVVVSSSNNNKKKIIIKKKKKKNNNTTT[[[cccppp}}}zzztttrrrwwwAAACCCGGGKKKOOORRRSSSTTTTTTQQQNNNMMMMMMMMMMMMLLLMMMNNNOOOMMMJJJKKKNNNRRRXXX```ggggggccc\\\SSSKKKCCC@@@===;;;;;;;;;;;;;;;999<<<@@@DDDJJJSSS___hhhooosssxxx|||}}}}}}~~~~~~}}}~~~}}}zzzxxxwwwvvvwwwwwwxxxzzz{{{}}}~~~}}}~~~}}}xxxtttnnnjjjddd^^^\\\]]]```bbbhhhoooxxx}}}~~~yyysssmmmiiijjjlllnnnkkkmmmpppqqqrrrtttxxxzzzyyyxxxvvvsssqqquuu|||yyysssrrrtttuuu||||||tttggg\\\OOOEEE<<<:::888555333444333333444444555555555666333444444444555555555555222555:::<<<;;;@@@PPPaaa}}}~~~mmm]]]PPPGGGBBB???<<<;;;===>>>===???CCCJJJTTTccctttpppaaaTTTKKKCCCAAA???===<<<;;;;;;;;;<<<:::===DDDJJJTTTiii~~~}}}zzzwwwwwwwwwyyy|||zzztttvvvzzz}}}~~~~~~zzzwwwuuussssssqqquuuxxxvvvrrrnnnlllmmmllllllkkkhhheeedddeeefffbbbaaa```aaaeeeiiillllllqqqtttuuurrrjjjbbb]]]\\\]]]YYYUUUTTTYYYcccnnnvvvyyywwwqqqiiidddfffmmmttt}}}uuummmgggfffgggiiijjjhhhaaaXXXQQQNNNNNNNNNRRRWWWYYYXXXUUUSSSQQQPPPPPPSSSZZZ```hhhvvv}}}tttnnnlllrrr>>>???AAAEEEHHHJJJLLLMMMNNNMMMLLLLLLNNNNNNLLLKKKLLLOOOQQQOOOKKKJJJMMMPPPWWW]]]dddgggiiiggg^^^UUUKKKFFFAAA>>>======<<<:::888;;;>>>AAAEEENNNZZZccclllpppvvv{{{}}}~~~~~~}}}zzzxxxwwwwwwwwwxxxxxxzzz{{{}}}~~~}}}~~~~~~{{{uuuqqqlllhhhbbb]]]\\\^^^cccfffmmmsss|||zzzwwwrrrnnnlllmmmppprrrpppppppppppppppssswww{{{vvvwwwvvvsssqqqttt|||~~~wwwwwwyyyzzzwwwlll___TTTIIIAAA999888777555333444444444444444444444444444444444555555555666666666333555888:::999;;;FFFSSSjjjvvvdddUUUJJJEEE@@@<<<<<>>???@@@CCCEEEHHHJJJKKKKKKKKKLLLNNNPPPOOOMMMKKKOOOSSSUUUSSSOOOLLLNNNRRRWWW\\\bbbgggmmmooofff\\\RRRMMMFFFBBBAAAAAA???===:::<<<>>>???BBBJJJVVV```jjjnnnuuuzzz}}}~~~}}}zzzxxxwwwwwwxxxxxxyyyzzz{{{}}}~~~}}}~~~}}}yyytttpppjjjfff```\\\\\\___dddhhhooovvv~~~~~~xxxuuuqqqooonnnppprrrttttttsssqqqooonnnqqqvvvzzztttuuuuuusssqqquuu}}}zzzyyy|||~~~tttgggYYYNNNFFF>>>777777777444333444444444444444444444444444555555555666666666666777555555666888777777???IIIWWWooo|||jjjYYYMMMGGGAAA===<<<@@@AAA@@@@@@BBBCCCIIITTTcccsssooo^^^TTTHHHEEEAAA===;;;;;;<<<===999666888>>>===>>>MMMaaaqqq|||zzzyyyyyy{{{~~~vvvjjj```___dddeeefffiiikkknnnoooqqqqqqqqqpppooommmkkkhhheeedddeeejjjnnnnnniiieeeeeeggghhhkkknnnmmmjjjgggggghhhbbb```]]]^^^```dddfffggglllrrrvvvuuunnnfffbbbaaa```[[[UUUPPPRRRYYYdddlllwwwxxxwwwpppgggccceeeiiipppwww}}}{{{rrriiidddccc```hhhqqqpppggg[[[RRROOOLLLRRRYYY^^^```aaabbbbbbddddddgggmmmqqqwww|||uuulllgggffflll{{{:::;;;======>>>@@@BBBEEEFFFFFFFFFGGGJJJLLLOOOQQQUUUYYY\\\[[[VVVRRRRRRTTTYYYaaagggiiilllqqqpppkkk^^^YYYQQQJJJFFFCCCAAA@@@>>>???>>>>>>@@@HHHSSS\\\hhhpppvvvxxxzzz~~~}}}|||zzzxxxwwwyyyyyyxxxwwwvvvxxx{{{~~~~~~|||zzzvvvpppmmmdddcccaaa^^^^^^bbbhhhmmmxxxzzz~~~yyyuuuoooppprrrtttuuuvvvwwwwwwtttrrrqqqqqqtttvvvvvvvvvxxxvvvsssrrrsssvvvzzz}}}}}}zzzzzz|||{{{qqqcccTTTJJJAAA>>>:::888666333111///111111222333333444555555333333333444444555555555444555666777888;;;???BBBOOOaaazzzsssbbbTTTIIIFFFBBB??????<<<:::===BBBDDDDDDKKKXXXgggtttnnn^^^QQQLLLEEEAAA???>>>;;;999999::::::888777<<>>??????AAACCCDDDCCCCCCDDDEEEHHHKKKNNNPPPWWW\\\aaabbb^^^[[[[[[\\\aaaggglllmmmpppuuutttppphhhcccZZZRRRMMMIIIEEECCCAAAAAA@@@>>>@@@HHHSSS\\\iiiqqqwwwyyy|||~~~|||zzzyyyyyyyyyyyyxxxwwwvvvxxx{{{~~~~~~|||yyyuuuooollldddcccaaa``````eeelllqqqyyy{{{}}}wwwrrrnnnooorrrtttwwwxxxzzzzzzvvvtttrrrqqqsssuuuuuuuuuuuusssqqqpppqqqtttxxxzzz{{{||||||{{{xxxxxx{{{}}}|||vvvkkk]]]OOOEEE===;;;888666666555333111111111222333444444555555333333333444444444555555444555666666777999===@@@FFFSSSiii{{{jjjYYYMMMGGGCCC@@@???<<<:::;;;@@@AAAAAAGGGSSS```nnn}}}wwwhhhVVVOOOFFFAAA??????<<<:::;;;<<<;;;999777:::BBBHHHPPP]]]qqq}}}{{{{{{{{{{{{{{{{{{{{{|||~~~~~~}}}~~~|||rrrhhh___\\\[[[\\\^^^aaaccceeeeeedddcccfffffffffggghhhgggdddaaagggmmmssstttpppkkkhhhfffkkkppptttsssnnnjjjkkkmmmmmmhhhbbb___```ccceeefffkkkpppvvvyyyvvvpppiiiddddddbbb]]]VVVRRRSSSWWW\\\fffqqqxxxvvvnnnfff___ZZZ^^^fffooouuusssllleee```ZZZ___ffflllmmmiiiccc^^^\\\\\\^^^ccckkkrrrvvvwww|||~~~uuujjjaaa^^^]]]cccvvvAAAAAAAAAAAABBBCCCDDDEEEBBBBBBCCCEEEHHHLLLOOOQQQXXX___gggkkkjjjhhhggggggkkkpppsssuuuwwwzzzzzzxxxuuuoooggg^^^WWWQQQLLLIIIGGGFFFDDDAAABBBIIIUUU^^^kkkrrrxxx{{{}}}}}}|||{{{zzzzzzzzzyyyyyyyyyxxxwwwxxx{{{~~~}}}zzzwwwsssnnnjjjddddddbbbbbbdddjjjrrrxxx{{{}}}yyysssnnnlllnnnqqquuuyyy|||~~~|||xxxtttrrrrrrtttuuuuuurrrpppnnnmmmmmmppprrrtttqqqrrrssstttuuuxxx|||}}}wwwooocccVVVHHH@@@999777666555666777666555222222333333444444555555333333333444444444444555333444555555555777:::===@@@HHHWWWmmmzzzvvv|||uuuaaaRRRHHHCCC@@@???===::::::===>>>===BBBLLLXXXeeeuuuuuubbbWWWJJJCCCBBBCCC@@@===<<<<<<<<<999777777<<<@@@EEEPPP```rrr}}}||||||{{{yyyxxxxxxxxxyyy{{{}}}~~~xxxwwwvvvxxx{{{~~~{{{tttkkkccc^^^]]][[[]]]___bbbccccccbbbbbbccccccdddgggiiihhhfffdddgggmmmtttwwwtttooolllkkkppptttwwwuuupppmmmnnnppppppkkkeeeaaaaaabbbddddddfffllluuu{{{{{{tttlllfffeeeddd```[[[UUURRRRRRRRR[[[gggsssvvvqqqjjj___WWWXXX^^^fffnnnrrroooiiiccc^^^___bbbhhhnnnpppnnnkkkhhhhhhiiinnnuuu|||qqqfff]]]ZZZYYY```uuuIIIHHHGGGGGGHHHHHHHHHHHHFFFFFFGGGIIILLLOOOSSSTTTXXX___iiippprrrqqqooooooqqquuuzzz~~~~~~|||}}}xxxpppiiibbb\\\VVVSSSPPPOOOKKKGGGFFFMMMXXXaaallltttzzz{{{}}}~~~~~~~~~}}}|||zzzyyyxxxxxxxxxyyyyyyyyyxxxxxxyyy|||~~~|||yyyvvvqqqmmmiiidddddddddeeehhhnnnwww}}}~~~|||uuuoookkkkkkmmmqqqvvv|||~~~xxxtttssstttuuuuuurrrqqqnnnlllkkkkkkllllllkkklllmmmppptttyyy~~~{{{ssshhh\\\PPPDDD<<<999777666666777888888777333333333444444444444444444444444444444444444444333444555444444555777999===???HHH\\\uuuzzzrrrsssyyyiiiXXXJJJDDD@@@???>>>;;;;;;======<<>>===@@@EEEKKKUUUeeessszzzmmm[[[OOOJJJHHHDDDAAA:::;;;;;;;;;999888999999;;;@@@HHHRRR___sss~~~}}}|||~~~|||{{{{{{zzzzzzyyyyyyxxxxxxwwwwwwvvvvvvtttssssssuuuyyy}}}~~~|||yyyuuupppkkkfffdddcccdddeeeggghhhhhhhhhhhhbbbcccdddhhhjjjkkkjjjhhhjjjqqqzzz}}}zzzsssnnnkkkqqqvvvyyywwwrrrnnnooorrrqqqooojjjfffcccccceeefffbbbhhhrrr{{{~~~yyynnnfff___``````___\\\VVVOOOKKKOOOXXXbbbiiimmmmmmeee]]]VVVVVVYYYbbblllpppmmmhhhgggcccaaafffqqq|||yyyiii___XXXWWWXXX```tttbbb___]]]]]]___```___\\\WWWWWWVVVVVVWWWXXXZZZ[[[[[[___eeelllqqqsssssssssrrruuu}}}}}}zzzxxxtttooolllhhhfffbbb]]]ZZZ]]]dddkkkssszzz~~~~~~}}}|||{{{zzz{{{~~~~~~~~~}}}{{{yyywwwvvvvvvuuuxxxyyyzzzzzzyyyzzz|||~~~~~~~~~}}}~~~{{{xxxuuurrrooollliiieeehhhlllooosssxxx}}}xxxtttoookkkiiikkkmmmrrrxxx~~~zzzxxxwwwvvvuuuuuusssqqqmmmhhhdddaaa___aaabbbeeejjjrrrxxx|||}}}}}}uuuhhh[[[PPPGGG@@@<<<:::888777666777888777666666666555555444444333333555444444444444333333333000222444444444444555777;;;777;;;GGGVVVhhhzzznnnhhhiiiooo|||}}}kkkXXXNNNDDDAAA@@@>>>>>>@@@>>>>>>@@@DDDGGGMMM[[[iiiwwwxxxhhhZZZPPPIIIDDDAAA<<<<<<<<<;;;;;;::::::999555:::AAAGGGQQQbbbyyy}}}|||zzzyyyxxxxxxwwwvvvuuuuuutttuuuuuutttssssssuuuyyy|||~~~~~~{{{wwwtttrrroookkkhhheeefffggghhhhhhiiiiiiiiieeeeeegggiiilllllljjjhhhiiiqqqzzz~~~{{{tttmmmjjjnnnsssxxxxxxsssooooooqqqvvvtttoooiiidddaaabbbcccbbbfffnnnwww|||yyyppphhh^^^______```___ZZZTTTOOONNNTTTZZZ```hhhmmmiiiccc[[[YYYZZZ```iiipppqqqoookkkhhhfffjjjsss~~~tttbbbZZZUUUVVVXXX___rrrqqqmmmjjjkkknnnooommmjjjeeedddbbbaaa``````aaaaaa```aaaeeeiiinnnqqqsssttttttttt{{{{{{wwwrrrqqqnnnhhhdddeeekkkpppxxx}}}zzzyyyxxxyyy{{{||||||{{{{{{{{{zzzyyyxxxxxxxxxxxxxxxyyy{{{{{{zzzzzz|||~~~~~~~~~}}}}}}||||||yyyvvvsssqqqooollljjjiiimmmrrrwwwzzz}}}yyytttqqqnnnkkkjjjlllnnnsssxxx~~~{{{xxxvvvtttsssrrrqqqoookkkgggccc___]]]^^^```dddllluuu{{{}}}}}}wwwnnnaaaSSSIIIBBB===:::777555444444666777666666777666666555444333333333555555444444444333333333///111444444444555666777;;;888<<>>===???<<<===???AAABBBEEERRR^^^lll{{{xxxhhhYYYNNNHHHEEE@@@???>>>===<<<;;;:::999444:::???BBBGGGTTTgggvvv~~~|||zzzxxxwwwvvvvvvuuuuuuuuuvvvwwwxxxwwwvvvuuuwww{{{~~~~~~{{{vvvsssrrrqqqnnnlllhhhhhhiiiiiijjjjjjkkkkkkhhhhhhiiikkkmmmmmmjjjhhheeennnyyy~~~{{{uuunnnkkkkkkqqqxxxyyyuuuppppppqqqvvvuuuqqqkkkeeebbbbbbddd```bbbiiissszzzzzzsssmmmaaa``````aaaaaa___YYYTTTNNNQQQUUU[[[eeemmmlllfff___]]]]]]aaaiiirrrxxxzzztttsssrrrtttzzzzzznnn___XXXUUUXXXZZZ```rrrzzzvvvrrrssswwwyyywwwtttpppooommmjjjiiihhhhhhhhhddddddeeehhhmmmqqqssstttvvvtttxxx~~~xxxwwwtttoookkkkkkooottt|||~~~yyyxxxwwwwwwyyy{{{{{{zzzyyyyyyyyyxxxyyyyyyzzzzzzxxxzzz{{{{{{zzz{{{|||}}}~~~~~~~~~~~~}}}|||{{{{{{xxxtttrrrqqqooommmkkklllpppvvv|||~~~|||vvvqqqooommmlllkkkmmmooosssyyy~~~{{{xxxvvvsssqqqnnnmmmllljjjgggccc___]]]^^^```eeeoooyyyrrriii[[[NNNDDD>>>:::999333222111222444666666666777777666555444333333222555555555444444333333333///111333555555555777888555333777>>>@@@FFF\\\uuurrrhhhdddjjjrrrkkk]]]MMMEEE@@@===<<<===:::;;;===???>>>@@@KKKWWWdddtttuuucccUUUMMMKKKDDDBBB???======<<<:::999555999=========FFFUUUbbb}}}~~~{{{zzzxxxrrrqqqqqqqqqsssuuuwwwxxx{{{yyyyyyzzz~~~zzzuuurrrrrrrrrqqqoookkkkkkkkkllllllmmmmmmnnnkkkkkkkkkmmmnnnmmmjjjgggbbbkkkwww}}}|||vvvpppllliiipppxxxzzzvvvrrrpppqqqsssrrrpppkkkfffdddfffhhh^^^```fffoooxxx{{{vvvqqqeeecccbbbcccdddaaa\\\XXXMMMPPPSSSZZZeeennnmmmgggbbb```___ccckkkuuu}}}}}}}}}}}}~~~vvvjjj___ZZZXXX[[[^^^ddduuu~~~}}}|||{{{yyyvvvrrrmmmkkkkkkllllllhhheeeggglllrrruuuvvvwwwyyy|||~~~yyytttqqqrrrtttvvv~~~yyyxxxwwwwwwwwwyyy{{{}}}zzz{{{{{{{{{yyyxxxyyyzzzzzzzzzzzzzzz{{{|||~~~~~~}}}{{{yyywwwvvvwwwuuurrrooommmlllllllllsssvvv{{{{{{tttnnnllllllmmmnnnssssssvvvzzz~~~zzztttrrrssssssppplllmmmmmmmmmiiieee```^^^^^^___dddjjjqqq{{{~~~wwwnnn```QQQGGG@@@:::777888555555333333333333444555666666666555555444444444444444444444444444444444111222333444555777888888888888999999<<>>???@@@>>><<<<<<777888999999:::@@@LLLUUUhhh|||}}}{{{yyyxxxuuutttsssssstttvvvyyyzzzzzz{{{|||~~~|||xxxtttqqqppppppppppppnnnoooooommmkkkjjjkkkmmmkkkkkkkkknnnpppooojjjfffccciiisss|||yyyooogggjjjnnnwww}}}{{{sssnnnoooxxxuuuqqqlllhhheeedddddd___^^^```hhhrrrwwwuuuqqqjjjddd^^^___eeehhhddd^^^^^^ZZZWWW\\\fffoooqqqqqqiiigggeeegggmmmwwwvvvkkkdddYYYYYY[[[^^^```gggxxx~~~{{{vvvrrroooooopppppplllhhhhhhlllqqqtttuuuyyy{{{~~~|||wwwuuuuuuwwwyyyzzzyyyxxxwwwwwwyyyzzz{{{yyyzzz{{{zzzyyyxxxyyyzzz{{{{{{{{{{{{|||}}}~~~~~~~~~}}}{{{yyywwwvvvuuussspppmmmllllllmmmnnntttwww{{{|||uuuooonnnnnnooopppssstttvvvzzzyyyssspppqqqqqqnnnlllmmmmmmllliiiddd```^^^^^^aaagggnnnuuu}}}}}}uuuhhh[[[LLLCCC===777555666666555333222222222333333555555555444444333333333444444444444444444444444222222333444555666777777888888999888:::@@@JJJRRRccczzzzzzlllffffffnnnyyyppp\\\MMMFFFBBB>>>:::999;;;======<<>>999555333444444444333222111111222222333333333333333222222222444444444444444444444444333333333444444555555555777888888777777:::@@@FFFRRRddd~~~wwwkkkfffdddnnn|||hhhXXXMMMFFF???;;;<<<===>>><<<;;;<<>>GGGUUUjjjtttkkkbbbiiiwwwsssaaaTTTKKKEEEBBB=========;;;:::;;;>>>BBBEEENNN]]]kkkyyysssgggWWWNNNEEEBBB@@@;;;888999999::::::999777666888:::BBBLLLZZZiii{{{~~~~~~~~~|||yyyxxxuuuqqqmmmkkkjjjkkklllmmmmmmlllkkkkkklllnnnmmmllllllooorrrrrroookkkdddgggnnnvvv|||yyyoooggg```ccckkkuuuzzzxxxvvvxxxvvvwwwvvvrrrmmmhhhggghhhfffcccaaabbbhhhqqqyyy~~~vvvpppjjjhhhmmmuuu|||~~~{{{wwwvvvxxx{{{~~~~~~|||nnneee^^^YYYUUUTTTTTTWWW\\\aaalll~~~}}}}}}{{{zzzyyyxxxwwwvvvvvvvvvvvvwwwyyyyyyyyyyyyzzz||||||}}}}}}~~~~~~~~~}}}zzzzzzzzzyyywwwvvvttttttqqqooollljjjlllpppuuuxxxzzz|||~~~xxxuuuttttttuuuuuuwwwwwwxxx|||}}}zzztttpppnnnnnnnnnnnnmmmllliiieeebbb```bbbdddlllttt{{{}}}{{{uuuhhh]]]MMMCCC:::888666333222444---...///111222333444444111111111111111111111111333333333333333333333333333333333333333222222222222555888888666666888;;;@@@IIIZZZqqq}}}ooodddfffooo~~~jjjZZZOOOIIIFFF<<<<<<;;;;;;:::;;;>>>@@@AAAHHHTTTaaannn||||||ppp^^^TTTJJJEEEBBB===;;;;;;999:::;;;:::999888888999>>>CCCMMMZZZjjj|||}}}{{{zzzzzzxxxsssmmmjjjiiijjjmmmnnnnnnmmmlllkkklllnnnmmmllllllooossssssqqqmmmfffgggllluuu{{{yyyppphhhbbbcccjjjtttxxxwwwvvvwwwvvvxxxyyyvvvooojjjiiijjjiiifffcccbbbeeennnyyy|||wwwqqqmmmooouuu}}}uuuggg^^^XXXTTTRRRQQQQQQUUUZZZ```lll~~~zzzyyyyyyxxxwwwwwwvvvuuutttvvvxxxyyyxxxyyy{{{}}}{{{|||}}}~~~~~~~~~||||||xxxxxxxxxwwwvvvuuutttsssrrrpppnnnnnnooossswwwzzz|||~~~zzzwwwwwwwwwxxxxxxyyyxxxyyy|||}}}zzzvvvtttrrrrrrrrrpppnnnlllhhheeefffiiilllqqqxxx~~~}}}vvvmmm^^^RRRGGG???777666666333222333,,,---///111333444444444000000000111111111111111333333333333333333333333222222222222222222222222000444777888666555777:::999>>>KKK___tttvvviiifffhhhtttvvvcccSSSJJJFFF<<<<<<;;;;;;;;;<<<>>>??????EEEMMMWWWbbbqqq|||iii^^^RRRKKKGGGAAA>>>???;;;;;;;;;:::::::::999999:::<<>>===<<<;;;<<<<<<<<<<<<===AAAGGGMMMWWWdddttt~~~wwwjjj\\\SSSLLLEEEAAAAAA===<<<;;;:::::::::999888:::999<<>>BBBGGGOOO\\\kkkvvvzzztttdddYYYPPPGGGCCCBBB???===;;;:::999999888777===::::::???CCCIIIVVVddduuu}}}{{{rrrlllkkkmmmtttuuutttqqqnnnlllmmmnnnnnnmmmmmmppptttvvvuuusssjjjiiikkksss|||}}}tttkkkgggeeehhhrrryyyyyyyyyyyyuuuzzz|||tttmmmlllnnnqqqssstttqqqnnnqqq{{{~~~zzzooo```TTTMMMJJJHHHFFFIIIIIILLLQQQYYYfff}}}~~~~~~~~~|||{{{zzzzzzwwwvvvuuutttttttttttttttttttttuuuwwwxxxyyyzzz{{{}}}~~~~~~}}}{{{yyywwwvvvtttsssssssssttttttrrrpppqqqsssvvvzzz|||}}}}}}}}}~~~zzz{{{{{{zzz{{{}}}{{{xxxvvvttttttvvv|||xxxmmm___QQQHHH<<<;;;888555333222222222333333222111000000000111222111111000000000000000111111111222222333333333000000000111222222222333222333444444222222333444666666888<<>>:::<<<>>>AAAEEEOOO[[[dddttt}}}pppbbbXXXQQQKKKHHH?????????===;;;999:::;;;777999:::;;;<<>><<<999:::===999;;;===>>>BBBJJJUUU^^^mmmvvv|||mmm```UUULLLFFFBBBAAA???===:::999999999666777777777888<<>>DDDMMMTTTbbblll{{{{{{nnn```SSSJJJGGGEEEAAA>>>;;;:::::::::888888666555555777<<>>=========;;;:::888666666777:::===@@@GGGPPP\\\jjj{{{~~~xxxwwwyyy{{{}}}~~~~~~|||zzzzzzzzzvvvrrroooooorrruuuuuutttppplllkkkqqq{{{~~~yyyoookkkllltttzzz{{{yyyyyyuuu|||~~~ppp]]]SSSJJJGGGEEEBBBBBBCCCEEEHHHPPPZZZcccnnn~~~~~~~~~}}}~~~{{{yyywwwtttsssrrrrrrqqqqqqqqqqqqqqqqqqqqqqqqrrrrrrssstttwwwwwwxxxzzz{{{|||}}}~~~~~~}}}|||{{{zzzzzzyyyyyyuuutttssstttwwwyyyzzzzzzzzz{{{}}}~~~xxxtttrrrxxx|||yyyxxxvvvrrrqqqssswww{{{}}}|||{{{{{{}}}{{{pppdddYYYOOOFFF@@@:::888666333111000000000////////////000111222222111111000000000000000111......///000222333444444333222222222111000000000222333444444222222333444333222444666666555:::AAADDDVVVmmmvvvrrrwwwqqq\\\QQQEEEAAA>>><<<;;;===;;;<<<===<<<:::<<>>>>><<<:::888777777999;;;<<<<<<@@@EEEMMMWWWfffvvv}}}|||}}}~~~}}}~~~~~~zzzvvvqqqpppsssuuuuuutttqqqnnnmmmrrr{{{~~~uuuooommmuuu|||}}}{{{{{{vvv|||vvvgggYYYPPPHHHFFFEEEBBB@@@AAAEEEHHHQQQ\\\eeeppp~~~}}}~~~{{{xxxvvvuuurrrrrrqqqqqqqqqqqqqqqrrrpppppppppqqqrrrssstttuuuxxxxxxyyy{{{|||}}}~~~~~~}}}|||{{{{{{{{{{{{xxxvvvuuuvvvxxx{{{||||||}}}}}}~~~xxxrrrooonnnrrrvvv|||wwwuuurrrooommmooossswww|||}}}wwwwwwxxxxxxzzz|||~~~xxxqqqeeeZZZPPPGGGAAA===888666444222111000000111000000/////////000111111222222111000000000000000---...///000111333444444222222222111111111111111222333444444222222333444000///000333444222555:::999FFFYYYmmm{{{vvvyyy~~~gggYYYKKKDDDAAA===;;;<<<;;;===>>><<<:::;;;???CCCIIIRRR___mmmxxxwwwmmmYYYRRRIIIBBB@@@@@@>>>===;;;999666666777999999999888:::>>>CCCKKKWWWeeeooo{{{vvvtttuuuxxxxxxwwwrrrooonnnsss|||zzzrrrooouuu}}}~~~}}}yyy~~~~~~lll^^^UUUMMMFFFEEEEEEBBB@@@AAADDDHHHPPP[[[eeeqqq~~~||||||}}}~~~}}}{{{xxxvvvtttsssrrrqqqpppppppppppppppqqqqqqqqqqqqqqqrrrsssuuuvvvwwwyyyyyyzzz{{{}}}~~~~~~}}}||||||}}}}}}|||zzzxxxxxxzzz}}}~~~~~~~~~~~~}}}xxxsssnnnlllkkkmmmqqqxxx~~~wwwuuupppllliiijjjnnnrrrvvv|||}}}xxxtttuuuvvvwwwwwwvvvuuutttnnnfffZZZNNNFFF@@@;;;999555444333111111111111222111000000////////////000111000000000000000111222000000000000111111111111111111111111111222222222222333444444222222333444111//////222333111222666888@@@LLL\\\sssyyyyyytttdddSSSIIIDDD>>>::::::999;;;===<<<::::::===AAABBBIIIUUUaaalllyyyzzzhhh^^^RRRIIIFFFDDDAAA>>>>>>;;;777777888888777666777999<<>>:::999999999777555666888999:::;;;@@@HHHNNNUUUbbbttt}}}~~~~~~}}}zzzzzz~~~yyy}}}qqq^^^OOOJJJCCC???AAADDDBBBAAACCCEEEGGGOOOYYYdddqqq}}}zzzxxxwwwuuutttsssqqqpppooooooooonnnoooqqqqqqppppppqqqssssssssstttvvvwwwxxxzzzzzz}}}||||||||||||}}}~~~~~~}}}}}}|||zzzzzzzzz{{{}}}yyysssooommmnnnoooqqqpppmmmjjjhhhgggooorrrxxx~~~tttpppkkkgggffffffgggfffoooppprrrttttttrrrpppnnnnnnqqquuuwwwuuuooohhhcccUUUOOOFFF>>>999777666555000111111222222333444444111111000///////////////000000000000000000000000111111000000000000111111//////000111111111111111000111333555555444333222111111222222222333333333444777>>>HHHTTTggg{{{{{{~~~iiiUUUIIICCC???<<<:::999888999;;;<<<;;;:::AAA@@@CCCMMMXXXdddtttyyylll___WWWPPPIIIEEE???>>>===;;;888777888999:::999888888999<<<@@@BBBMMMTTT```kkkvvvwwwdddUUUMMMEEECCC@@@???AAABBBCCCBBBDDDGGGNNNXXXbbbnnn}}}yyywwwuuutttqqqpppooonnnmmmmmmmmmmmmmmmnnnpppppppppppprrrsssuuuuuuvvvwwwxxxyyyzzzzzz}}}}}}}}}}}}~~~~~~}}}}}}{{{{{{{{{|||~~~zzzsssmmmiiigggfffhhhkkkkkkjjjiiihhhiiippptttzzz}}}uuuqqqlllhhhgggggggggfffjjjlllnnnoooooommmkkkjjjnnnpppttttttppphhh___YYYLLLGGG???999666555444333111111111111111111000000111000000///////////////000000000000000000000000111111000000000000111111//////000111111111111000000111333444555444333222111111111222222222333333333444777>>>GGGYYYttt~~~}}}qqq]]]PPPHHHBBB???===;;;::::::;;;<<<;;;:::<<<:::===FFFOOOZZZhhhtttwwwkkkaaaWWWNNNGGGBBBAAA???<<<999888888999:::999777777888;;;===???@@@GGGPPPZZZcccppprrraaaSSSLLLEEECCC@@@???@@@AAABBBBBBEEEGGGNNNWWW```kkk}}}|||xxxuuurrrpppooonnnmmmllllllkkkkkkkkklllkkkmmmooopppoooppprrrssswwwwwwyyyzzz{{{|||||||||~~~~~~~~~~~~}}}}}}{{{{{{|||}}}wwwnnnhhhcccaaa```cccfffhhhiiijjjlllmmmssswww}}}}}}vvvsssnnnjjjiiihhhgggeeeeeefffhhhiiijjjhhhgggfffmmmppprrrpppjjj___TTTMMMAAA===777333222222222111111111111000///.........000000//////......//////000000000000000000000000111000000//////000000111...///000000111111000000000111222333444333222222111111111222222222222333444222222555;;;IIIaaavvv~~~iiiZZZNNNFFFBBB???===;;;;;;<<<<<<;;;999999777999???FFFNNNZZZeeeuuu}}}{{{ooocccUUUMMMIIIGGGCCC???<<<;;;:::::::::999777666777888:::;;;:::???EEEKKKSSS^^^jjjsss|||kkk\\\QQQKKKEEEBBB???>>>???@@@AAA@@@EEEGGGMMMUUU]]]hhhzzz{{{zzzwwwtttpppnnnlllkkklllllllllkkkkkkllllllmmmjjjlllnnnoooooopppqqqssswwwyyy{{{}}}~~~~~~{{{|||}}}~~~xxxooogggccc``````bbbfffhhhjjjmmmqqqssswww{{{~~~|||xxxtttpppmmmjjjhhhfffdddcccdddfffggghhhhhhgggfffmmmnnnooollldddXXXLLLDDD;;;888333000000000000///000000000/////////......000//////.........//////////////////////////////000000////////////000000...//////000000000000000000000111222333222222222111111111111222222222222555333222444888BBBUUUfff}}}||||||wwwdddUUUIIIBBB???===;;;:::;;;<<<;;;::::::888999===AAAFFFOOOYYYhhhqqq~~~ppp```VVVOOOLLLGGGCCC@@@???>>>===;;;:::888777666666777888999;;;>>>BBBGGGPPPZZZaaapppzzzuuufffYYYOOOJJJEEEBBB???>>>>>>@@@@@@???DDDEEEKKKSSS\\\hhhzzz|||yyywwwuuussspppmmmkkkjjjiiiiiiiiiiiiiiijjjkkklllllljjjlllnnnnnnnnnoooppprrrvvvxxx|||~~~|||}}}~~~|||rrrjjjeeebbbccceeehhhjjjllloootttwww|||}}}}}}~~~~~~~~~}}}xxxvvvrrrnnnlllhhheeebbbbbbccceeegggiiijjjjjjjjjlllllllllhhh```TTTHHHAAA:::777333111111111000.../////////000000000111111//////............//////////////////////////////000000////////////000000......///000000000000000000000111111111222111111000000111111111222222222333222444777:::???LLLXXXttt{{{xxxxxxqqq]]]MMMDDD???===:::999:::<<<<<<;;;<<<::::::===>>>AAAGGGOOO\\\fffuuu}}}nnncccUUUPPPIIIEEEBBBAAA???>>><<<;;;999888777666666666777777888999===CCCIIINNN\\\fffuuupppbbbWWWOOOKKKEEEBBB???>>>>>>?????????BBBDDDIIIRRR\\\iii|||}}}|||zzzwwwuuurrrpppooommmkkkiiiiiihhheeeeeeeeefffgggiiijjjkkkkkklllnnnnnnmmmmmmoooppprrruuu{{{|||}}}yyyqqqjjjgggggghhhjjjkkkmmmqqqvvvzzz}}}||||||}}}~~~~~~xxxvvvrrrooolllhhhccc______```cccfffiiikkkmmmmmmjjjiiigggbbbYYYNNNDDD===999666444333333222000............///000111111111......------......//////000000000000000000000000000//////......//////000---...//////000000//////000000000000000111111111000000000111111111111222000000222666888;;;DDDMMMfff{{{}}}xxxxxx~~~jjjWWWMMMBBB???<<<:::;;;<<<<<<<<<;;;999999;;;;;;;;;@@@GGGPPPZZZhhhuuu~~~|||sss___XXXPPPIIIFFFDDDAAA>>>>>>===;;;:::888777777777777777666777:::===AAACCCMMMVVVcccppp|||yyyjjj___WWWPPPKKKFFFCCC@@@>>>???@@@@@@???AAABBBHHHQQQ[[[hhh|||}}}zzzxxxvvvuuutttrrrqqqlllkkkjjjiiihhhgggggggggcccddddddeeegggiiijjjkkklllmmmnnnnnnllllllmmmnnnmmmrrrzzz}}}~~~zzzsssooolllmmmnnnooorrrvvv}}}~~~}}}}}}xxxvvvsssppplllgggaaa]]]YYY[[[^^^bbbfffiiilllmmmhhhfffaaaZZZQQQFFF===888555333222222333222111///..................//////...------------...///000000000000000000000000000//////............//////---...//////000000/////////////////////000111111000000000000111111111111000//////222444666>>>FFFTTTjjj|||zzzzzzyyyeeeZZZHHHEEE@@@===<<<<<<;;;;;;:::888888:::999999<<>>===<<<;;;:::999888999888888999;;;===>>>>>>CCCIIIRRR\\\eeeqqq~~~~~~oooccc\\\VVVPPPLLLGGGDDDAAA???@@@@@@@@@@@@AAABBBGGGOOOXXXeeeyyy}}}zzzyyyvvvtttqqqpppppppppnnnmmmiiihhhgggfffffffffffffffeeeeeefffgggiiikkkmmmnnnmmmnnnnnnnnnlllkkklllmmmjjjpppyyy}}}~~~{{{vvvpppqqqrrrtttwww|||~~~~~~xxxvvvsssppplllfff```\\\TTTVVVYYY]]]bbbfffjjjlllfffccc]]]UUUKKKAAA888333111000000111222222111//////......------,,,,,,+++---------------...///000000000000000000000000000//////............//////---......//////////////////////////////000111111000000000000111111111111333000...000111333;;;DDDFFF[[[vvv{{{wwwyyypppeeeNNNJJJDDD@@@===<<<;;;:::;;;888999::::::999<<>><<<;;;::::::666666666777999:::999999>>>BBBHHHOOOVVVaaammmvvvuuuhhh^^^YYYUUUQQQMMMHHHEEEBBB@@@@@@AAAAAA@@@BBBBBBFFFNNNVVVbbbvvv~~~}}}yyyzzzzzzxxxuuusssssstttrrrqqqooommmkkkiiigggfffiiihhhfffddddddeeefffgggbbbccceeegggjjjlllnnnooopppooommmjjjeee```\\\ZZZ[[[]]]fffvvv~~~~~~}}}||||||~~~}}}|||{{{|||}}}}}}~~~~~~zzzsssnnnlllggg___YYYUUUUUUWWW[[[```cccdddccc```^^^XXXOOOCCC:::777666000000////////////000000---------------...///000---...///...---------///000000///...............//////.........//////000....................................////////////333333222111000000111111//////000222444777999:::DDDQQQdddxxxzzzvvvvvv}}}mmmZZZQQQFFF>>><<<<<<===<<<999888999;;;===>>>===<<>><<<<<<<<<999666888777666555666777:::;;;;;;<<>>===>>>???CCCAAABBBJJJUUUdddwwwzzzzzz{{{{{{zzzyyyxxxxxxyyyyyyyyyxxxwwwvvvtttsssqqqrrrrrrpppnnnlllmmmnnnmmmlllkkkjjjhhhgggffffffeeedddcccbbbaaabbbdddeeeeeefffggghhhjjjkkkmmmmmmooommmkkkfffaaa\\\WWWUUUQQQTTT\\\lll}}}{{{{{{{{{}}}}}}{{{sssnnnkkkgggaaa[[[YYYYYYZZZ]]]```aaaaaa___ZZZXXXRRRHHH>>>777444444111000///////////////000...............///000111...///000///...---...000000000///...............//////............//////....................................////////////222222111000000000000000111111111222333555777777<<>><<<<<<;;;;;;:::::::::<<<<<<;;;999:::>>>CCCIIIOOOYYYeeemmmwww{{{|||qqqeeeYYYPPPIIIDDD???<<<<<<<<<:::888:::999777666666666777888999999;;;>>>DDDJJJPPPSSS\\\dddnnnuuuzzz~~~|||{{{{{{{{{{{{zzzzzz{{{}}}~~~|||zzzkkk___RRROOOOOOMMMKKKKKKFFFDDDAAA???===>>>???@@@CCC@@@BBBJJJTTTbbbuuunnnmmmlllllllllllllllmmmnnnnnnnnnmmmlllkkkjjjiiihhhiiiiiiiiigggfffggghhhgggfffffffffeeeeeedddddddddcccbbbaaaaaabbbcccdddhhhhhhiiijjjkkkllllllmmmnnnkkkgggaaa[[[TTTPPPMMMGGGIIIQQQbbbxxx~~~{{{yyyxxxxxxyyyyyy{{{}}}uuuoookkkgggbbb^^^]]]]]]^^^```aaa```^^^[[[RRROOOHHH@@@777222111222111111000///////////////000////////////000111111...000111000///...///000000///......---.........//////...............///....................................////////////111000000////////////000222222222222222333444555777:::BBBVVVrrrvvvpppooottt~~~zzzmmmZZZJJJBBB???>>>======<<<::::::::::::888777777999===@@@EEENNNYYYaaalllrrr{{{~~~qqqbbbYYYPPPJJJCCC???>>>???>>><<<::::::999888777555555444888888888:::<<<@@@DDDFFFMMMTTT\\\ccchhhooozzz}}}{{{zzzyyyxxxxxxxxxxxxxxxxxxyyyzzz{{{{{{||||||mmm___TTTJJJIIIJJJIIIIIIJJJBBBAAA???======>>>???@@@BBB@@@BBBIIIRRR```ssseeedddcccbbbbbbccceeefffggggggggggggfffeeedddccccccdddfffeeeddddddeeegggdddddddddcccccccccbbbbbbddddddccccccdddeeeffffffiiijjjjjjkkklllmmmnnnnnnmmmiiiccc\\\TTTMMMIIIFFFCCCEEELLL[[[qqq}}}xxxuuusssrrrqqqqqqtttyyywwwpppkkkgggccc```aaabbbcccddddddbbb]]]YYYLLLHHHAAA999444111111222222111000//////......///000///////////////000000---///000///...---...000///......------.........//////...---------..........................................////////////000//////.........//////111111111111111222333444999999>>>KKKbbbzzz{{{rrrmmmmmmsss{{{xxxdddRRRHHHDDDBBBBBB===<<<:::999:::999888777888:::;;;===???FFFPPPXXXeeelllvvvpppfff[[[SSSJJJDDDBBBBBBBBB@@@:::::::::999888666555444888888888888999;;;===???CCCHHHNNNTTTYYYaaallltttyyy~~~}}}|||zzzyyyxxxwwwvvvvvvvvvvvvvvvvvvvvvwwwwwwxxxyyyyyy{{{}}}tttdddWWWNNNGGGFFFHHHGGGGGGIIIBBBAAA???>>>===>>>??????AAA@@@BBBHHHPPP]]]ppp^^^]]]\\\\\\]]]^^^```aaabbbbbbbbbbbbbbbaaa```___```aaaccccccbbbcccdddfffeeeeeedddcccbbbaaaaaa```cccdddddddddeeefffggghhhiiijjjkkkmmmnnnpppqqqrrrmmmhhhaaaXXXPPPIIIEEECCCBBBDDDJJJWWWjjj{{{uuupppmmmkkkkkkkkkmmmssszzz{{{rrrlllgggcccaaadddeeeggghhhhhhccc\\\WWWGGGCCC<<<777333222222333111111000//////////////////......------.........,,,---......,,,,,,---.........------------......//////...---------------....................................///////////////...............///////////////000111222333444777888===EEESSShhh{{{ssskkkkkknnnxxxppp^^^QQQJJJEEEBBB===;;;999999:::::::::999999;;;;;;;;;<<>>>>>>>>>>>@@@???BBBGGGNNNYYYmmmWWWWWWXXXXXXYYYZZZ[[[\\\]]]]]]^^^^^^]]]\\\\\\[[[\\\^^^___```______aaabbbeeeeeedddcccbbbaaaaaa```bbbcccdddeeefffggghhhhhhjjjkkkmmmnnnppprrrssstttmmmhhh```WWWOOOIIIEEEDDDBBBEEEKKKVVVgggzzzzzzsssmmmiiigggggggggiiinnnvvv~~~}}}uuunnniiifffdddeeegggiiijjjhhhbbbYYYRRRCCC???999555333333222222000000////////////000000///......------------...+++,,,------,,,+++,,,------------,,,------.../////////...---,,,,,,,,,,,,....................................///////////////............//////000.........///000111222333111333999???GGGWWWsss{{{nnngggfffmmmxxxnnn___RRRHHHAAA???<<<:::999:::;;;;;;:::888:::;;;:::999<<>>BBBHHHOOOTTT\\\bbbjjjooossswww}}}~~~{{{xxxvvvuuuvvvvvvqqqqqqppppppppppppqqqqqqqqqrrrtttvvvxxxyyyzzzzzz{{{~~~~~~jjjZZZNNNHHHCCCCCCBBB???>>>@@@BBBAAA@@@???>>>>>>>>>>>>??????BBBFFFKKKVVVjjj|||TTTUUUVVVWWWXXXYYYYYYZZZZZZ[[[[[[[[[[[[ZZZYYYYYYZZZ\\\]]]]]]\\\\\\^^^___bbbbbbbbbbbbbbbbbbbbbbbbcccdddfffhhhiiijjjkkkkkknnnnnnooopppqqqrrrssssssnnniii```WWWPPPKKKHHHGGGDDDHHHOOOZZZiiiyyy}}}xxxrrrlllhhhfffbbbbbbcccgggoooxxx~~~|||wwwqqqmmmjjjiiiggghhhjjjjjjggg^^^RRRJJJ>>>:::555222222222000...///......//////000111222000000///...............,,,---...---,,,,,,---...---,,,,,,,,,------...///000///...---,,,,,,,,,,,,....................................//////////////////......//////000111000//////......//////000111111444999>>>KKKcccyyyxxxnnnllliiiqqq~~~~~~ooo___PPPFFFBBB???<<<::::::;;;:::999777999::::::888999>>>AAADDDLLLWWWaaalllxxxyyykkk___VVVOOOIIIEEEAAA@@@>>>;;;:::999999999666666555555555555555555777888999;;;>>>BBBGGGJJJNNNTTT[[[aaaeeeiiiooosssvvvyyy~~~}}}zzzxxxuuurrrqqqqqqrrrsssnnnnnnmmmmmmmmmmmmnnnnnnnnnooorrruuuwwwyyyzzzzzz~~~tttbbbSSSKKKFFFCCCCCCAAA>>>===???>>>>>>>>>>>>>>>>>>>>>>>>>>>???BBBFFFIIITTThhh{{{SSSUUUWWWYYYZZZZZZZZZZZZZZZZZZ[[[[[[[[[ZZZZZZYYY[[[\\\]]]]]]\\\\\\]]]______``````aaabbbcccddddddfffhhhiiikkkmmmnnnoooooopppqqqqqqqqqqqqqqqrrrrrroooiiiaaaXXXQQQLLLJJJJJJGGGLLLUUU```mmm{{{}}}www{{{{{{vvvqqqmmmiiiggg^^^]]]]]]bbbiiirrrxxx{{{}}}}}}|||xxxssspppnnnmmmhhhiiijjjjjjeeeZZZMMMDDD:::777222000000000---+++............///111222333111111000///////////////---...///...------...///,,,,,,,,,,,,------...///000///...---,,,+++++++++..................................../////////000///////////////000111111222111000......---------666333333777;;;DDDWWWjjjzzzxxxhhhnnnxxx{{{jjjYYYNNNFFFBBB>>>;;;::::::999888777999<<<;;;999999<<>>??????>>>???BBBEEEIIISSSgggzzzRRRRRRTTTUUUVVVVVVVVVVVVZZZYYYYYYXXXXXXYYYYYYZZZZZZ[[[]]]]]]\\\\\\]]]^^^ddddddddddddeeeeeeeeeeeeggghhhjjjlllnnnoooppppppqqqsssuuuvvvvvvuuuvvvwwwrrrpppkkkccc[[[UUURRRQQQPPPUUU]]]hhhttt~~~|||{{{yyy{{{|||~~~wwwqqqnnnkkkiiiggg^^^___aaadddhhhllloooqqquuuuuuttttttsssssssssrrrqqqooojjjddd[[[OOODDD<<<333222111000////////////......------------......///////////////000111111///...---,,,,,,---//////...---,,,,,,,,,,,,---.........---,,,,,,...///000---------,,,,,,+++++++++,,,---...//////...---,,,...............///000111000000000000000111222222111333555555777@@@LLLVVVrrr{{{xxxyyywwweeeYYYMMMEEE<<<999<<<>>><<<999;;;;;;:::999999:::::::::>>>@@@DDDJJJSSS___lllttt}}}}}}sssgggYYYOOONNNIIICCC@@@??????===;;;;;;;;;;;;:::999777666555666555444444555666777888BBBDDDFFFHHHJJJOOOTTTXXX]]]aaagggmmmqqqvvv{{{~~~}}}|||zzzwwwuuusssrrrqqqpppnnnllljjjhhhhhhhhhhhhhhhgggggghhhiiiiiihhhfffkkkmmmoooqqqsssxxx}}}xxxmmm^^^QQQLLLFFFDDDBBB???===<<<;;;;;;<<<;;;;;;;;;<<<>>>AAABBB???>>>@@@DDDHHHTTThhhzzzRRRSSSTTTVVVWWWWWWXXXXXXZZZZZZYYYYYYYYYYYYZZZZZZ[[[]]]______^^^^^^___```aaabbbbbbccceeeffffffgggfffhhhjjjmmmoooqqqsssssstttvvvxxxxxxxxxyyyzzz|||vvvuuupppiiiaaa\\\YYYYYY[[[___gggpppyyy|||yyyxxxzzz{{{}}}{{{wwwqqqllljjjhhhfffeee``````bbbcccfffhhhkkklllooooooppppppqqqqqqqqqppppppmmmggg___VVVKKK@@@888333333222000000/////////......------------......///////////////000000111000///...---------...///...---,,,,,,,,,,,,---...---------------...//////------------,,,,,,++++++------............------///............//////000...............//////000...000111111333:::EEEMMMcccvvvssshhhYYYPPPFFF@@@???>>>999555===<<<;;;::::::999999:::;;;===???CCCJJJTTT^^^eeerrrzzztttfff]]]TTTNNNFFFAAA???>>>;;;999::::::999999888666555444666555444444444666777888<<<===???AAABBBFFFKKKNNNRRRVVV[[[```eeejjjooosssxxxzzz|||}}}~~~}}}zzzvvvuuusssqqqnnnmmmlllkkkiiihhhgggeeeeeeeeeeeefffffffffggghhhiiiiiiiiihhhlllnnnqqqsssvvv{{{uuunnneeeYYYNNNIIIEEEDDDAAA???===<<<;;;;;;============>>>>>>???@@@>>>>>>@@@CCCHHHRRRfffxxxRRRSSSUUUWWWXXXYYYZZZZZZ[[[ZZZZZZZZZZZZZZZZZZ[[[]]]___aaabbbaaaaaabbbcccaaabbbccceeegggiiijjjkkkhhhjjjmmmpppsssvvvxxxxxxxxxyyyzzz{{{{{{}}}~~~|||yyyssslllgggeeeeeekkknnnttt{{{}}}zzzxxxwww{{{|||~~~~~~}}}zzz}}}vvvrrrmmmiiigggfffeeedddddddddddddddeeefffggghhhlllmmmppprrrtttuuuttttttooojjjbbbYYYOOODDD;;;444222222111000////////////......------------......//////......//////000111111000///...............------,,,,,,,,,,,,------,,,,,,---..................---------------,,,,,,.........------.........000//////............///......------......///000,,,...000000111555===CCCPPPeeezzzhhh^^^PPPGGGBBB>>>999555>>>===<<<::::::999999999:::;;;<<<===AAAGGGOOOTTTaaajjjwwwwwwnnn]]]VVVMMMFFFCCCAAA???<<<;;;;;;:::999888777777666555555444444444555666777777888999:::;;;===AAADDDGGGIIIMMMQQQVVV[[[aaaeeejjjmmmoooqqqsssvvvzzz}}}|||{{{zzzxxxtttrrrmmmllljjjhhhfffddddddcccaaa````````````aaaaaabbbcccdddeeeggghhhjjjjjjkkknnnppptttwww{{{|||rrrgggaaaZZZPPPHHHFFFCCCBBB@@@>>>===<<<<<<;;;>>>??????????????????>>>??????@@@DDDGGGRRReeevvvRRRSSSUUUWWWYYY[[[[[[\\\[[[[[[[[[ZZZZZZ[[[[[[[[[^^^```cccdddcccdddeeeffffffggghhhiiikkkmmmnnnooonnnooorrruuuxxxzzz||||||{{{|||}}}}}}}}}~~~xxxtttrrrrrrvvvyyy~~~~~~~~~~~~~~~|||{{{zzzyyy}}}~~~}}}zzzxxxrrrvvv{{{~~~|||uuuqqqlllhhhffffffeeedddffffffeeeeeeeeeffffffgggjjjmmmqqquuuwwwwwwvvvuuummmggg]]]SSSIII@@@888333000000///..................------,,,,,,------...///............///000000111111000///......------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---...///...---,,,------------------------///...---,,,,,,---...///111000///...............000////////////000111111...000111222222444888<<>>???AAADDDGGGJJJOOOVVVZZZ^^^aaadddgggjjjmmmrrruuuzzz{{{|||~~~~~~{{{yyyxxxwwwxxxvvvtttsssrrrooollljjjeeedddbbbaaa___^^^]]]]]]\\\\\\\\\\\\\\\\\\]]]]]]___```ccceeegggiiilllnnnpppssswww|||qqqfff[[[UUUPPPHHHCCCBBBAAA@@@???>>>===<<<<<<<<<===>>>???AAAAAAAAA@@@???@@@@@@BBBEEEIIIRRReeevvvTTTUUUWWWYYY[[[\\\]]]]]]]]]]]]\\\\\\\\\\\\]]]]]]___bbbdddfffffffffhhhiiikkkkkklllmmmnnnoooooopppssstttvvvxxxzzz|||}}}}}}~~~|||||||||}}}zzzvvvxxx{{{}}}~~~~~~~~~{{{vvvsssmmmpppvvv{{{}}}}}}{{{yyytttpppjjjgggeeeeeedddcccdddddddddcccddddddeeeeeefffiiinnnrrrtttrrrooommmggg```WWWMMMDDD===666222......---,,,,,,,,,,,,---------,,,,,,,,,,,,------...............//////000000000000///...------,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++---.........---,,,------------------------///...---,,,,,,---...///111000///...............///////////////000000111///000111222222333555777<<>>999888888888888888999:::999:::;;;;;;;;;===AAADDDEEEMMMXXXdddooozzzxxxpppddd[[[TTTOOOJJJFFFCCCBBB@@@===;;;:::::::::666666666666666666666555666888999888777888999;;;:::<<<>>>???BBBFFFKKKOOOTTTWWWZZZ]]]```dddhhhlllqqqrrrtttvvvxxxzzz{{{{{{{{{{{{{{{|||}}}~~~|||{{{yyywwwuuusssqqqpppooonnnlllkkkjjjhhheeeccc```___^^^\\\[[[ZZZZZZZZZZZZZZZZZZZZZZZZZZZYYYYYYZZZ]]]aaaccceeeiiinnnrrrtttwww|||{{{iii^^^SSSMMMHHHCCC??????>>>>>>>>>>>>======<<<<<<:::;;;>>>@@@BBBBBBBBBBBBBBBBBBDDDHHHKKKTTTgggxxxXXXYYYZZZ\\\^^^___``````bbbaaaaaa``````aaaaaabbbbbbdddgggiiiiiijjjlllnnnnnnnnnoooooopppqqqrrrrrrwwwxxxzzz{{{}}}~~~~~~yyyuuusssvvv{{{zzztttoooiiikkkppptttwwwxxxwwwvvvnnnkkkfffcccbbbcccbbbbbbbbbbbbaaaaaaaaabbbcccccchhhlllppptttsssoooiiieee\\\VVVNNNEEE???999444111------,,,,,,,,,,,,,,,---------,,,,,,,,,,,,------......------......///000.../////////...---,,,+++++++++,,,,,,,,,,,,++++++++++++,,,---------------++++++,,,,,,,,,,,,------.........------.........000//////............///------,,,,,,------...///......//////000111222333999>>>JJJ```zzz~~~vvvqqqsssxxx~~~uuucccTTTJJJCCC???999999888888888888999999666777888888999:::===??????DDDLLLTTT]]]hhhuuu}}}uuuiii```WWWOOOIIIGGGEEEBBB>>><<<::::::999777777888888888777666666555666777777666555666777666777999:::;;;===AAADDDJJJLLLPPPRRRUUUXXX\\\___dddeeehhhjjjmmmooopppqqqrrrrrrssstttuuuwwwxxxyyywwwxxxzzz{{{}}}}}}}}}}}}~~~~~~~~~}}}}}}}}}||||||}}}||||||{{{zzzxxxxxxwwwsssrrrqqqooollljjjiiihhhfffeeecccccccccbbb___]]]\\\[[[ZZZYYYXXXWWWWWWWWWYYYYYYYYYZZZYYYYYYXXXWWWXXX\\\```cccfffkkkrrrwwwzzz~~~yyyooo```UUUKKKGGGCCC???======;;;<<<============<<<<<<999:::<<<>>>@@@BBBCCCCCCAAABBBEEEIIIMMMVVVhhhyyy]]]^^^___aaabbbcccccccccggggggffffffffffffggggggeeehhhkkkmmmmmmoooqqqrrrqqqrrrssstttvvvwwwyyyyyy|||}}}}}}wwwtttuuuxxx~~~zzzrrrmmmeeegggjjjnnnppprrrsssssshhheeebbbaaabbbcccdddeeeeeeeeedddcccbbbbbbbbbccckkknnnssstttqqqjjjbbb]]]NNNIIICCC===888444111.........------------......---,,,,,,++++++,,,,,,---...------------...//////,,,,,,---......---,,,+++***+++,,,,,,,,,,,,+++***,,,,,,++++++,,,,,,---...*********+++++++++,,,,,,------............------///............//////000---,,,,,,,,,,,,---.........------...///111222333555888@@@OOOddd{{{wwwmmmlllpppooo|||uuueeeVVVJJJDDD>>>===<<<:::999888888888555666777888777888:::<<<<<>>@@@BBBCCC???AAADDDIIIMMMWWWiiiyyyaaabbbcccdddeeefffffffffkkkkkkjjjjjjjjjjjjkkkkkkhhhjjjnnnpppqqqrrrtttvvvuuuvvvwwwzzz||||||wwwtttxxx|||zzzqqqkkkccceeegggiiilllnnnppppppeeeccc``````cccfffhhhiiikkkjjjiiigggfffeeeddddddiiilllooopppkkkbbbYYYRRRDDD@@@;;;777444111...+++//////.........//////000---,,,,,,++++++,,,,,,---...------------...//////***+++,,,---------,,,+++***+++,,,------,,,+++***---,,,+++***+++,,,---...))))))*********+++++++++,,,---...//////...---,,,...............///000111///............///000000///...---...111333555555111555;;;DDDTTTlllzzznnnkkknnngggttt}}}|||sssbbbSSSJJJBBBAAA???<<<:::888777777666777999999888888999:::;;;<<<>>>???DDDMMMZZZcccppp{{{vvvmmmfffTTTRRRMMMHHHDDDBBBAAA@@@999::::::;;;:::999888777555666888888666555666777444666888888777666777888888:::<<<===>>>AAADDDGGGJJJKKKNNNQQQTTTWWWYYYZZZYYYZZZZZZ[[[]]]^^^```aaaccceeegggiiikkklllllllllllllllllllllkkkkkkkkkkkkiiijjjlllmmmllljjjgggeeeaaaaaa___^^^\\\[[[YYYYYYYYYXXXWWWXXXYYYYYYXXXVVVTTTSSSRRRRRRQQQQQQQQQRRRRRRSSSVVVXXXYYYZZZZZZZZZYYY^^^dddhhhkkkqqqzzzsssbbbWWWLLLDDD===<<<===;;;:::<<<999:::;;;===>>>======<<<===<<<<<<;;;<<<>>>@@@AAA>>>???CCCHHHMMMVVViiiyyyfffhhhjjjllllllkkkjjjiiihhhiiikkkmmmnnnnnnnnnnnnmmmnnnqqqtttwwwyyy{{{{{{}}}}}}}}}~~~~~~}}}|||{{{}}}yyyrrrnnnddddddgggjjjlllllliiigggfffeeeccccccdddgggjjjlllnnnmmmkkkiiihhhffffffeeelllmmmnnnmmmhhh\\\OOOFFF;;;999666333000///......------------------------,,,,,,---...//////......------------------------------------------------******+++,,,---------------------,,,,,,+++++++++,,,+++******))))))*********+++,,,---...---,,,+++,,,---------......//////......////////////......///////////////.........444111555AAAJJJXXXtttzzzpppjjjjjjjjjqqq~~~tttuuuuuu{{{ppp```VVVNNNDDD=========::::::===888888999999999888888777777777999===BBBGGGMMMPPP___jjjzzzyyypppggg```UUUMMMIIIGGGDDDBBB>>>===;;;;;;;;;;;;999777777777777777777777666666444444444555555555555555999999:::;;;<<<<<<======EEEFFFGGGIIIKKKLLLMMMMMMMMMNNNOOOPPPRRRTTTUUUUUUVVVXXX[[[^^^aaaaaaaaaaaaccccccbbbaaaaaa```__________________^^^\\\[[[ZZZWWWVVVUUUTTTRRRRRRRRRQQQTTTRRRPPPQQQTTTUUUUUUSSSNNNOOOPPPPPPOOOPPPRRRTTTTTTVVVYYY[[[\\\]]]___```cccdddgggjjjpppxxxzzzhhhYYYQQQFFFCCC???===<<<<<<<<<;;;;;;;;;<<<<<<===>>>>>>>>>============>>>>>>>>>>>>CCCBBBCCCGGGLLLVVVgggwwwlllmmmnnnooooooooonnnnnnmmmnnnpppqqqrrrsssrrrrrrttttttvvvwwwyyy{{{}}}}}}|||yyyyyy|||~~~~~~|||zzzxxxtttppplllhhhiiikkkmmmnnnllljjjggghhhhhhhhhhhhjjjmmmppprrrrrrqqqooonnnmmmmmmmmmmmmoooooonnnkkkdddXXXJJJAAA888666444111///.........------------------------,,,,,,---...............------------------------------------------------,,,,,,,,,---,,,,,,++++++---------,,,,,,+++++++++,,,,,,+++************+++++++++,,,,,,------,,,,,,////////////..................////////////..................////////////444111444===DDDPPPhhhyyysssllljjjnnnyyyxxxuuusssxxx|||mmmcccVVVKKKBBB@@@???:::777777999999:::::::::999999999888888999;;;>>>BBBFFFIIIVVV```ooo}}}tttlll```WWWQQQLLLHHHEEEFFFDDDAAA???>>>===;;;:::;;;;;;:::999888888777777555555555555555555666666666666777888888999::::::===>>>@@@BBBCCCDDDEEEEEEEEEEEEFFFHHHIIIKKKLLLLLLNNNPPPSSSVVVXXXYYYYYYYYYYYYYYYYYYXXXWWWVVVVVVVVVVVVVVVVVVUUUTTTSSSRRRRRRPPPOOONNNMMMLLLLLLLLLLLLMMMKKKJJJKKKNNNPPPPPPOOOLLLMMMNNNNNNMMMNNNPPPRRRVVVYYY\\\___aaaccceeegggiiikkkmmmqqqvvv~~~qqq___QQQJJJCCC@@@<<<;;;;;;;;;::::::;;;;;;;;;<<<======>>>>>><<<=========>>>>>>>>>>>>BBBAAABBBFFFKKKUUUfffvvvssssssttttttttttttuuuuuussstttvvvwwwxxxyyyyyyyyy||||||||||||}}}}}}zzzvvvsssvvv{{{~~~zzzwwwtttrrrqqqooollljjjnnnoooqqqqqqpppnnnkkkiiijjjkkklllnnnqqqsssuuuvvvtttsssrrrqqqrrrssstttuuuuuusssooohhh^^^QQQCCC:::555333111///...---......------------------------,,,------............---------------------------------------------------------------,,,+++***)))------,,,,,,,,,,,,++++++------,,,+++++++++++++++,,,,,,++++++,,,,,,------111000000//////...------......////////////......---------.../////////000333111222777;;;DDDWWWlllvvvqqqpppuuu|||}}}uuurrruuu~~~uuudddWWWJJJEEECCC???:::777::::::::::::::::::::::::999999999999:::<<<>>>@@@JJJSSS```lllxxx}}}qqqfff^^^WWWPPPKKKKKKHHHCCC@@@???>>>===<<<>>>>>>===;;;:::999888777777777666666666666666666555555555666666777777888777888999;;;<<<===============>>>???@@@AAABBBCCCEEEGGGJJJLLLNNNOOOPPPOOOOOONNNNNNMMMMMMLLLLLLLLLKKKKKKKKKKKKKKKJJJIIIHHHHHHHHHGGGGGGGGGGGGHHHHHHGGGFFFEEEGGGIIIKKKLLLKKKJJJKKKMMMMMMMMMNNNPPPRRRWWW[[[```eeehhhkkkoooqqqsssuuuxxx{{{vvvdddTTTHHHBBB>>><<<999888999:::999999::::::;;;<<<<<<======>>><<<<<<=========>>>>>>>>>@@@???AAAEEEJJJSSSdddsss{{{zzzzzzyyyyyyzzz{{{{{{zzzzzz{{{|||}}}~~~~~~yyyvvvuuuttttttwww~~~zzzuuuqqqmmmkkkjjjkkkjjjjjjppprrrtttuuussspppnnnmmmlllnnnpppsssuuuvvvvvvvvvssssssrrrssstttvvvxxxyyy{{{wwwoooeeeYYYKKK>>>666222111000............///------------------------,,,------......---------------------------------------------------------,,,,,,,,,,,,,,,+++******,,,,,,,,,,,,,,,,,,,,,,,,...---,,,,,,++++++,,,,,,---,,,+++***+++,,,---.....................---------......//////......---,,,,,,------...///000000111000000333444:::IIIXXXuuuyyyyyy{{{wwwsssrrrzzztttfffVVVMMMJJJGGGAAA===;;;;;;::::::999:::::::::999999888888888999:::;;;@@@GGGRRR\\\hhhuuuvvvmmmeee^^^XXXSSSNNNIIIEEEDDDCCCBBBBBB???>>>===<<<;;;:::999888999999888888777777666666555666666666777777888888666777888999:::;;;;;;;;;999::::::;;;<<<======>>>@@@AAADDDFFFHHHIIIIIIIIIHHHHHHHHHGGGGGGFFFFFFFFFEEEEEEFFFFFFFFFEEEDDDDDDDDDDDDCCCDDDDDDEEEFFFGGGFFFFFFFFFFFFGGGIIIJJJJJJJJJKKKMMMNNNNNNPPPSSSUUUXXX\\\cccjjjoootttxxx{{{~~~{{{hhhXXXKKKCCC>>>;;;999777777999::::::999999::::::;;;<<<<<<======<<<<<<<<<=========>>>>>>???>>>@@@DDDIIIQQQbbbqqqzzzuuuqqqsssvvvxxx|||yyyrrrnnniiigggggghhhiiiiiimmmppptttuuutttrrrqqqqqqrrrsssuuuwwwxxxwwwwwwvvvsssssstttuuuwwwyyyzzz{{{~~~xxxmmmaaaTTTGGG;;;444222111///......//////000------------------------,,,---------------,,,,,,------------------------------------------------)))***++++++,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,...---,,,,,,++++++,,,,,,---,,,+++***+++,,,---...******++++++,,,---......------............------+++,,,,,,---...//////000///...///000111555???JJJaaauuu{{{vvvtttwww~~~xxxeeeWWWPPPLLLFFFAAA===<<<;;;999888888999999888888888888999999::::::<<>>===<<<;;;:::;;;;;;:::999888888777777666666666666666777777777777777888999::::::999999888888999999:::::::::;;;<<<===???@@@BBBCCCDDDDDDDDDCCCCCCCCCCCCCCCBBBBBB@@@AAAAAABBBBBBBBBBBBAAA@@@@@@@@@AAABBBCCCEEEEEEFFFGGGFFFFFFFFFFFFGGGHHHIIIJJJLLLNNNOOOQQQTTTVVVXXX^^^fffooovvv|||mmm\\\PPPGGGBBB???:::888777888:::;;;:::999999999::::::;;;;;;<<<<<<<<<<<<<<<<<<============>>>===???DDDHHHPPP```ooo|||vvvrrrooosssxxx|||~~~zzzppplllhhheeefffggghhhiiiiiimmmrrrtttrrrqqqqqqsssvvvwwwyyyzzzzzzzzzyyyxxxuuuvvvyyy{{{||||||||||||{{{sssgggYYYLLLAAA888222111000///.........///000------------------------,,,------------,,,,,,+++------------------------------------------------((()))***+++,,,,,,,,,,,,++++++,,,,,,,,,,,,------------,,,+++++++++++++++,,,,,,++++++,,,,,,------'''((()))***,,,---......------............------,,,,,,,,,---.........///,,,.../////////333999???PPPddd}}}{{{xxxxxx{{{yyyggg[[[TTTKKKCCC@@@???===:::999888888888777888888999:::::::::;;;:::===BBBGGGNNNYYYfffooo}}}|||tttnnnfff]]]VVVPPPKKKGGGEEEEEEDDDBBBAAA???>>>=========<<<;;;:::888888777555555555555555555555555666777777888888888777777777777777777777777777777999999:::;;;===>>>???@@@???????????????>>>>>>>>><<<<<<===>>>????????????=========>>>???@@@AAABBBDDDEEEEEEEEEDDDDDDEEEGGGHHHJJJLLLNNNPPPRRRVVVXXX[[[bbbllluuu~~~{{{ooo___QQQIIIDDD@@@>>>999888777888:::;;;:::999888888999::::::;;;;;;<<<;;;;;;<<<<<<<<<===============???DDDHHHPPP___mmm~~~zzzwwwsssqqqooosssxxxzzz{{{~~~yyyoookkkgggeeeeeefffggggggeeekkkpppqqqooommmnnnpppvvvvvvwwwxxxyyyzzzzzzzzzvvvxxx|||~~~~~~{{{yyysssjjj]]]OOODDD;;;444000000///...,,,,,,,,,---...---------------------------------------,,,+++***------------------------------------------------)))******+++++++++******+++++++++,,,,,,---------,,,,,,+++************+++++++++,,,,,,------,,,,,,))))))***+++,,,,,,------,,,------......------,,,------------------------,,,...000///...111444777@@@QQQhhh|||}}}|||zzz{{{}}}ooocccXXXNNNEEECCC@@@===:::999999999888888999999:::::::::999999;;;===@@@DDDLLLWWW```llluuu|||uuullleee^^^WWWSSSPPPOOOLLLJJJGGGDDDBBBAAA???>>>===<<<:::999888777777777777666666666666666777777777888777777666666777777666666666666666666888999999:::;;;===>>>???<<<<<<<<<<<<<<<<<<<<<===999:::;;;<<<======>>>===<<<<<<<<<===>>>???@@@AAA@@@BBBDDDEEEDDDEEEHHHKKKKKKMMMPPPRRRTTTWWW[[[^^^aaahhhrrr}}}kkk```RRRHHHBBB@@@===:::888777777888::::::999777888888888999::::::;;;;;;;;;;;;;;;<<<<<<<<<============@@@DDDHHHPPP___mmm~~~yyyuuusssqqqppppppssswwwwwwwwwzzzvvvnnnjjjfffdddeeefffffffffdddjjjooopppmmmjjjkkknnnrrrssstttuuuwwwxxxyyyzzzuuuxxx|||}}}yyyvvvlllcccVVVHHH>>>666111...///...,,,+++***++++++,,,------------------------------------,,,,,,+++***------------------------------------------------+++++++++++++++***)))(((+++++++++,,,,,,---------,,,+++******))))))*********+++,,,---...---,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,------......------,,,------------------,,,,,,,,,///000///...///111222555DDDXXXlll~~~zzzxxx~~~sssfff[[[IIIGGGCCC???<<<:::::::::888888999999999999888888888:::;;;;;;>>>DDDNNNVVV^^^hhhuuu}}}wwwqqqjjjfffXXXWWWTTTPPPKKKGGGDDDCCC@@@???>>>===;;;999888888::::::::::::999999999999888888999999888888777777888888888777777777777777::::::;;;;;;<<<>>>@@@@@@<<<<<<<<<<<<============999:::;;;===>>>>>>>>>>>>>>>>>>>>>>>>???@@@AAABBB???BBBEEEFFFFFFHHHLLLPPPPPPRRRUUUWWWYYY]]]aaadddeeelllxxxuuuaaaWWWKKKBBB>>><<<999666888777777888999999888666777888888999::::::;;;;;;;;;;;;;;;<<<<<<<<<============@@@EEEIIIPPP___mmm~~~{{{wwwtttrrrrrrrrruuuttttttuuuvvvxxxzzz{{{~~~zzzvvvmmmllliiifffcccbbbaaaaaaaaacccgggiiiiiijjjkkklllrrrooooooqqqrrrqqqppppppqqqwww{{{|||}}}}}}ttthhhaaaVVVHHH;;;555111...,,,.........------,,,,,,,,,.........------,,,,,,,,,++++++,,,,,,,,,---------+++,,,---------,,,+++***++++++************++++++//////...------,,,++++++***,,,------+++******+++,,,***((()))+++,,,+++((()))***,,,---...---,,,,,,,,,---------.../////////+++++++++,,,---...///000222///,,,,,,...000000...---------............///666888CCCXXXppp|||xxxyyyzzzkkk[[[TTTIIIBBB???>>>===;;;<<<:::888888999:::::::::999999:::::::::>>>BBBFFFSSSZZZdddppp{{{{{{wwwoookkkeee___ZZZUUUPPPMMMIIIFFFBBB@@@@@@@@@???>>>===============<<<;;;::::::999999888888888888888888888888888888888888888999999::::::;;;<<<======<<<:::888999;;;<<<:::888===>>>>>>>>>??????@@@@@@<<<===>>>???@@@BBBCCCCCCCCCEEEGGGIIIKKKPPPUUUYYY[[[]]]___bbbdddhhhmmmppp{{{qqqcccSSSKKKCCC>>>======:::777777777777777666666666666999999888888999:::;;;;;;;;;;;;;;;<<<<<<<<<<<<======<<<>>>DDDJJJSSSbbbooo~~~zzzvvvsssqqqrrrrrrtttsssrrrqqqqqqrrrssstttvvvyyy}}}~~~zzztttqqqlllkkkhhheeecccbbbaaaaaa```cccfffhhhiiijjjkkkmmmooonnnnnnppprrrqqqpppooopppuuuxxxyyyzzzxxxnnncccUUULLL@@@777333222111000......---------,,,,,,,,,------,,,,,,,,,+++++++++++++++++++++,,,,,,,,,,,,++++++******+++,,,---...,,,,,,++++++++++++,,,,,,---,,,,,,+++******))))))''')))+++,,,,,,,,,---...,,,***((()))+++,,,+++)))***+++,,,,,,---------,,,.........---,,,+++++++++,,,++++++,,,,,,...//////111///,,,,,,...000///...---------............///444444;;;KKK___rrr|||kkkaaaTTTJJJCCC@@@<<<:::;;;999777777888888777666999999:::999:::<<<@@@DDDGGGMMMVVV```kkkvvv{{{uuuooojjjddd]]]YYYRRROOOJJJFFFDDDDDDCCCBBB????????????===<<<;;;:::::::::999888888888888999;;;;;;;;;;;;;;;;;;;;;;;;999999999:::;;;;;;<<<<<<>>><<<:::;;;===>>><<<:::;;;;;;<<<<<<<<<=========>>>>>>???@@@AAABBBBBBCCCFFFHHHKKKMMMQQQUUU[[[___fffhhhkkknnnrrrvvv{{{wwwfffYYYGGGAAA;;;888999:::888555777777777777777777777666777777777777777888999999;;;;;;;;;;;;<<<<<<<<<<<<>>><<<>>>CCCIIISSSbbbppp{{{vvvsssrrrssstttvvvuuussspppnnnmmmllllllmmmooorrrssssssqqqnnnllljjjiiigggeeecccbbbaaaaaa```bbbeeeggghhhiiikkkllllllmmmnnnppprrrsssqqqooonnnqqqsssssssssoooeeeZZZIIIBBB888222111111111000------------,,,,,,,,,,,,,,,,,,++++++++++++***************++++++++++++,,,+++***((('''(((+++...000---,,,,,,,,,,,,,,,,,,---,,,,,,++++++******))))))''')))+++,,,,,,,,,---...+++***)))***++++++***))),,,,,,++++++,,,,,,------------,,,,,,++++++******,,,++++++,,,,,,---...///000...------...//////...---------............///333111444===KKK^^^uuu~~~ssscccUUUKKKDDD???<<<<<<:::999888999888666555999::::::999888:::===@@@@@@EEELLLTTT]]]hhhrrrxxxxxxpppkkkccc^^^VVVQQQMMMKKKJJJIIIFFFEEEEEECCCBBB@@@>>>=========<<<;;;;;;;;;;;;;;;:::::::::::::::::::::::::::::::::;;;;;;<<<<<<===<<<;;;::::::<<<<<<;;;:::<<<<<<<<<=========>>>>>>AAABBBBBBCCCDDDEEEFFFFFFKKKMMMQQQUUUZZZ```gggllltttwww{{{uuueeeVVVLLLBBB>>>:::888::::::888666777777777777777777777777888777777777777888888999;;;;;;;;;;;;<<<<<<<<<<<>>MMMeeezzzrrrbbbVVVMMMEEE@@@>>><<<;;;;;;;;;;;;999777999:::999888777888;;;===>>>AAAEEEKKKRRR[[[eeekkkxxx}}}uuuooofff___ZZZWWWTTTSSSOOONNNMMMKKKIIIFFFDDDCCCBBBBBBAAA@@@???>>>>>>>>>;;;;;;;;;;;;::::::::::::;;;<<<<<<<<<=========>>><<<<<<<<<<<<============@@@@@@AAAAAABBBBBBCCCCCCEEEEEEGGGIIIKKKMMMOOOPPPQQQTTTYYY___fffnnnvvv|||yyyhhhWWWJJJCCCBBB???<<<::::::999777444777777777777777888888888:::::::::999999::::::;;;::::::;;;;;;;;;<<<<<<<<<@@@======AAAGGGQQQaaaooo|||~~~~~~}}}|||{{{~~~{{{zzz{{{}}}}}}{{{xxxtttooojjjgggeeeaaabbbcccdddffffffggggggeeeeeeeeeeeedddcccbbbbbb^^^```cccdddfffhhhkkkmmmooosssvvvuuuwwwzzzvvvooojjjfffdddccc___XXXNNNGGG===888222///......,,,))),,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------))))))*********++++++++++++++++++++++++***)))(((++++++************++++++---,,,,,,,,,,,,,,,++++++***,,,------+++******+++******+++************+++...---,,,+++***+++,,,---******+++,,,---...//////,,,,,,+++++++++,,,---------............------...---------............///111111222555888AAAUUUggg~~~sssdddXXXLLLEEE@@@>>>===<<<<<<<<<:::999999999:::888777777999;;;999;;;===@@@EEELLLUUU[[[dddlllwwwxxxpppjjjfffbbb```YYYYYYWWWUUURRROOOMMMKKKIIIHHHFFFEEECCCBBBAAAAAAAAA@@@@@@@@@??????>>>>>>============>>>>>>>>>>>>AAABBBCCCCCCCCCCCCDDDDDDBBBBBBCCCDDDEEEFFFGGGHHHHHHJJJMMMPPPTTTXXX[[[\\\[[[___eeekkksss|||ooo]]]NNNDDD???===;;;999888777666555333666777777777888888888999;;;;;;:::::::::::::::;;;:::::::::;;;;;;;;;;;;<<>>CCCIIINNNWWW^^^iiittt~~~}}}xxxtttqqqggggggeeeccc```]]][[[YYYTTTSSSPPPMMMKKKIIIHHHGGGEEEDDDDDDCCCCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBDDDEEEGGGGGGFFFFFFGGGIIIEEEFFFHHHIIIKKKMMMOOOOOORRRTTTWWW\\\bbbfffjjjlllmmmpppuuuzzzrrraaaSSSHHHAAA<<<999888777777777777888999666777777888888999999999:::999999888888888888999::::::::::::;;;;;;;;;;;;>>><<<>>>CCCHHHQQQ___lllzzz~~~~~~zzzxxxtttnnniiiccc___]]][[[\\\]]]___aaabbbcccdddgggiiimmmqqqwww}}}||||||xxxwwwuuurrrnnniiieeeccc```aaaccceeefffgggggggggddddddffffffgggfffeeeeeeeeefffhhhjjjkkknnnrrruuuvvv~~~|||{{{}}}vvvjjjaaaWWWOOOLLLGGG>>>888777...,,,***,,,///111///---******+++++++++,,,,,,,,,++++++,,,,,,,,,---------++++++++++++,,,,,,,,,,,,------,,,,,,++++++******,,,++++++******++++++,,,))))))))))))))))))******''')))+++,,,,,,,,,---...)))+++,,,+++)))(((***,,,,,,---------,,,,,,+++***++++++++++++,,,,,,,,,,,,,,,,,,+++++++++++++++,,,***---//////---,,,,,,------------............///,,,+++---000000222;;;EEETTTggg}}}yyyxxx||||||kkk___SSSNNNGGGBBB???===<<<:::888999:::999888888999:::<<<======<<<<<<>>>BBBFFFLLLRRRZZZdddnnnxxxzzzyyyxxxvvvssspppnnnmmmdddccc```\\\XXXUUUTTTSSSNNNMMMMMMLLLKKKKKKJJJJJJLLLLLLLLLLLLLLLLLLLLLLLLJJJLLLNNNNNNMMMMMMOOOQQQQQQRRRTTTWWWZZZ\\\^^^___dddfffiiinnntttyyy|||~~~sssaaaRRRIIICCC>>>999999888777555444555888:::666777777888888999::::::;;;:::999888888888888888999999:::::::::;;;;;;;;;<<<<<<>>>DDDJJJQQQ^^^jjjxxx}}}xxxvvvooolllhhhaaaZZZTTTOOOMMMJJJKKKMMMPPPSSSVVVXXXYYYaaadddiiinnnuuu|||zzzyyywwwwwwuuusssoookkkhhheeedddeeegggiiikkkkkkkkkjjjddddddfffgggggggggffffffhhhiiikkkmmmnnnqqquuuxxxxxx|||{{{|||tttggg]]]RRRHHHDDD???777222333---+++***,,,//////---************++++++,,,,,,,,,*********++++++,,,,,,,,,++++++,,,,,,,,,---------...---+++)))***+++...///---,,,,,,++++++,,,,,,---++++++++++++++++++,,,,,,***,,,------+++******+++(((+++,,,,,,)))(((***,,,,,,,,,---...---,,,***)))&&&'''(((***+++,,,......,,,,,,++++++***+++++++++***---000000---+++,,,------------.........//////...,,,,,,...///000777???BBBWWWpppvvvrrrsssuuuwww{{{ppp^^^XXXOOOHHHCCC@@@>>>===777999::::::999888:::;;;;;;;;;;;;:::888999<<<>>>@@@DDDKKKTTT]]]gggqqqwww~~~}}}sssqqqmmmiiieeeaaa___^^^\\\[[[[[[ZZZYYYXXXXXXWWWWWWWWWWWWWWWWWWWWWVVVVVVUUUXXXZZZZZZYYYXXX[[[]]]^^^```bbbeeehhhlllnnnoootttvvvyyy~~~vvvgggTTTGGGBBB???;;;777888666333///,,,---///222666777777888999999::::::===<<<;;;;;;::::::::::::999999:::::::::;;;;;;;;;;;;;;;???EEEKKKQQQ]]]hhhvvv~~~|||wwwrrrkkkggg```]]]WWWPPPKKKFFFDDDCCC@@@AAABBBDDDFFFKKKQQQUUUWWW^^^gggnnnuuu|||yyywwwvvvtttsssqqqooonnnnnnooopppqqqnnnkkkkkkmmmnnnnnnlllooonnnlllkkkjjjiiiiiihhhiiimmmppprrrrrrtttxxx|||~~~}}}wwwllldddVVVJJJ>>>999666111......---,,,,,,++++++,,,,,,---+++++++++,,,,,,---------++++++***))))))***++++++---,,,+++******,,,...///,,,,,,,,,++++++*********((())))))))))))*********---.........---+++)))(((---,,,+++******+++,,,---+++,,,---......---+++)))******+++++++++,,,,,,,,,,,,,,,,,,---------......///...---,,,+++,,,,,,---,,,---......,,,,,,---...---,,,,,,++++++,,,,,,---...////////////000333666???GGGWWWlllyyyppplllmmmpppvvvxxx{{{{{{ooogggZZZPPPJJJFFFBBB???>>><<<999999999:::999999888888888888999:::<<<<<<;;;===BBBHHHOOOWWW]]]aaaooovvv|||xxxvvvtttqqqooollliiiggghhhiiijjjjjjhhhffffffhhhiiigggdddiiiiiijjjkkkllllllllllllnnnppprrruuuyyy|||~~~{{{sssdddYYYJJJ???;;;999777555999888666555555666777777555555555555777999;;;<<<>>>>>>===;;;:::999888888777888999:::;;;<<<<<<<<<;;;===AAACCCHHHRRRaaammmxxx~~~xxxqqqkkkddd]]]YYYPPPNNNJJJEEEAAA???======<<<>>>@@@BBBDDDIIIOOOSSSXXX^^^fffmmmsss}}}~~~xxxuuusssrrrpppooonnnooorrruuuwwwxxx}}}xxxrrrooopppqqqppppppooonnnmmmkkkkkkjjjjjjjjjkkkoootttwwwyyy{{{~~~|||xxxpppddd[[[NNNCCC999444222///,,,,,,,,,++++++******++++++,,,++++++,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++---,,,+++******,,,---///,,,,,,,,,++++++*********)))))))))*********++++++((()))***+++,,,,,,,,,,,,,,,++++++******++++++,,,)))***+++++++++)))'''&&&))))))*********+++++++++++++++++++++,,,,,,,,,---...---,,,+++***++++++,,,,,,---...---,,,,,,,,,......------,,,,,,------...,,,---.........///222444888@@@NNN```ttttttkkkgggfffiiirrrzzzvvvuuuzzzwwwiii]]]UUUOOOJJJGGGEEEBBB>>><<<<<<<<<<<<;;;888888777777777888999999999:::===AAAFFFLLLRRRUUUaaagggqqqzzz~~~{{{yyyyyyzzz{{{~~~|||zzzzzz||||||{{{yyyyyyzzz{{{|||}}}}}}}}}}}}yyymmmdddVVVMMMBBB<<<:::;;;:::888888777666555555666777777666555555555777888:::;;;???>>>>>><<<;;;:::999999888888999:::;;;;;;;;;::::::===@@@BBBGGGQQQ```lllxxx~~~wwwnnnddd[[[SSSLLLHHHAAA@@@>>><<<:::::::::;;;;;;===@@@CCCGGGKKKQQQUUUYYY^^^eeekkkqqqyyyxxxrrrnnnmmmlllllljjjkkkooowww~~~zzzssspppqqqrrrrrrpppooonnnllllllkkkkkkkkkiiinnnuuu{{{|||wwwpppeeeXXXOOOEEE<<<333111000---,,,---+++******))))))******+++,,,,,,,,,,,,,,,++++++++++++,,,------------,,,+++,,,++++++******,,,---...+++++++++++++++*********************+++++++++,,,(((((())))))***+++,,,---***++++++++++++++++++***(((((())))))(((&&&%%%###(((((()))))))))*********************++++++++++++,,,++++++************++++++---...---,,,+++,,,.........------------......+++,,,---------...000222000777BBBOOO___rrryyymmmddd___```fffrrr~~~tttppppppyyy|||nnnddd[[[TTTOOOJJJFFF@@@<<<;;;::::::::::::999888888777777888888999999999:::===AAAFFFIIIPPPUUU^^^fffnnnuuu|||}}}ttthhh\\\SSSGGGBBB;;;888888999999777666666555555555666777777666666555555666888999;;;===<<<<<<;;;:::999888888888999999:::::::::999999999;;;>>>AAAEEEOOO^^^jjjwww~~~wwwpppdddXXXOOOGGGAAA>>>;;;;;;;;;;;;;;;<<<===>>>@@@CCCGGGKKKNNNRRRWWW[[[]]]```eeeiiinnnuuu}}}{{{ssslllhhhhhhiiikkkjjjkkkrrr||||||tttooooooqqqsssrrrqqqooonnnlllkkkkkkjjjffflllttt{{{~~~wwwoooeeeXXXKKKCCC===666111000000------///++++++************++++++---,,,,,,,,,++++++*********+++---......---+++***++++++******++++++,,,---+++++++++*********************+++++++++,,,,,,,,,///...,,,***(((((()))))))))***+++,,,,,,+++***)))))))))))))))(((&&&%%%$$$))))))))))))*********+++*********++++++++++++,,,+++++++++*********+++++++++,,,------++++++,,,---------,,,,,,,,,,,,------+++,,,---...------///111---333:::AAALLL^^^uuu~~~sssiiidddbbbccchhhtttwwwpppmmmqqqzzzttthhh]]]VVVPPPKKKDDD>>><<<;;;;;;;;;;;;;;;:::999999999999:::;;;:::888888:::===@@@CCCFFFJJJPPPVVV]]]eeelllqqqxxx{{{~~~{{{qqqggg\\\QQQIII@@@===999777666666444222555555555666666777777888777666555555666777888999888888888777777666666555888999999999999999888777777:::===???CCCNNN]]]hhhuuu|||}}}wwwllleeeYYYNNNFFF@@@<<<:::999:::;;;<<<>>>@@@BBBCCCHHHKKKPPPSSSVVVYYY]]]___aaabbbdddgggjjjooouuuxxxzzzxxxssslllfffdddfffhhhnnnnnnpppvvvuuuooonnnqqqssstttrrrpppnnnlllkkkjjjiiiggglllsss{{{||||||wwwoooeeeYYYLLLAAA;;;666111---......,,,,,,///,,,,,,++++++++++++,,,,,,,,,,,,,,,++++++*********(((***+++------+++***(((************++++++,,,,,,******************************+++++++++,,,,,,,,,222111...+++)))((((((((())))))+++,,,,,,+++))))))+++++++++******)))((('''*********+++++++++,,,,,,++++++++++++,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,+++,,,---,,,++++++,,,---,,,++++++++++++++++++,,,+++---...///......///000///333777999???MMMcccsssyyyrrrmmmfffcccaaaggguuu|||uuunnnnnnrrr{{{yyykkkaaa[[[VVVNNNGGGDDDBBBAAA@@@;;;::::::999999::::::;;;;;;:::888888999<<<>>>@@@AAACCCGGGJJJOOOUUU[[[```jjjmmmqqqxxx~~~}}}}}}~~~~~~zzz{{{~~~sssggg\\\RRRHHHAAA;;;:::888777666555222111444555666777777888888999777777666555555666777888666666666666666666555555888888888999888888777777777:::<<<>>>BBBLLL[[[fffssszzzvvvooo___YYYOOOFFF@@@===;;;999888:::<<>>@@@AAACCCGGGLLLPPPZZZ]]]bbbiiioootttxxxzzz}}}||||||xxxyyyzzz|||~~~~~~zzz{{{~~~{{{kkk\\\QQQGGG???:::555666777777777666555555444555777888999:::::::::888777666555555555666777777777777777777888888888666777777888888888777777777:::<<<>>>BBBLLLZZZeeeqqqwwwxxxlllcccWWWQQQIIIBBB???===<<<;;;<<<>>>BBBFFFKKKOOORRRTTTXXX\\\```bbbcccbbbccccccdddbbb```______```aaaaaaaaabbbbbb___]]]^^^eeejjjtttxxx|||~~~}}}sssnnnmmmnnnmmmlllllllllmmmmmmnnnooorrrsssvvvzzz|||yyysssnnnfff```VVVJJJ@@@888555444...,,,+++---+++((((((+++,,,,,,++++++++++++,,,,,,************++++++++++++++++++++++++++++++++++++))))))***+++++++++++++++((()))))))))*********+++)))))))))*********++++++******+++,,,,,,,,,,,,,,,******))))))))))))************************++++++************++++++++++++************++++++++++++((()))***,,,,,,,,,+++******,,,,,,,,,+++***+++,,,,,,++++++******++++++,,,***,,,......---,,,,,,---,,,///222333555;;;DDDLLLaaaqqq{{{rrrooojjjdddcccnnnzzztttnnnmmmttt|||xxxnnnddd[[[TTTMMMIIICCCBBB@@@>>><<<:::999999888888999999999999999999999:::;;;<<<<<>>BBBLLLZZZeeennnttt|||yyypppcccZZZUUUPPPIIICCC@@@??????>>>AAADDDIIIOOOUUUZZZ^^^```___bbbfffhhhhhhfffffffffdddaaa]]][[[[[[[[[[[[ZZZYYY[[[\\\[[[YYY]]]dddkkkuuuzzz}}}rrrkkkhhhhhhhhhiiijjjkkkmmmoooqqqrrrttttttuuuwwwxxxtttmmmggg^^^XXXNNNBBB888333222333000......000...******---++++++************++++++))))))******+++++++++,,,---,,,,,,++++++,,,,,,---))))))***++++++++++++***(((((())))))*********+++((())))))))))))*********((()))+++,,,,,,+++***)))+++***)))(((((()))***+++(((''''''(((((()))***+++))))))))))))************))))))))))))************'''((()))+++++++++***)))***+++,,,,,,******+++,,,---,,,,,,++++++,,,,,,---(((***------,,,+++++++++(((+++000222444777===AAAQQQcccyyy|||{{{uuukkkdddhhhvvvyyyqqqmmmpppwww|||xxxmmmcccZZZUUUKKKJJJGGGCCC@@@===;;;;;;999:::;;;<<<;;;:::888777888999;;;;;;;;;===@@@BBBCCCEEEJJJOOOUUUZZZ]]]___fffiiinnntttzzz~~~{{{zzzwwwwwwvvvtttrrrrrrtttuuuvvvxxxzzz}}}~~~~~~mmmbbbSSSFFF???;;;888666444555777666555444444555555666888;;;<<<=========999888666555444444555555444444555555666777777777444444666777888888888888888:::===>>>BBBLLLZZZeeemmmssszzz}}}vvvpppggg[[[SSSMMMLLLIIIFFFCCCDDDGGGJJJLLLQQQWWW[[[^^^aaaeeehhhggggggiiiiiihhhfffdddcccccc```\\\YYYXXXXXXXXXXXXWWWVVVVVVXXX\\\aaafffiiissswww{{{}}}}}}tttkkkeeecccffffffgggkkknnnqqqqqqqqquuuvvvvvvuuurrrjjj```YYYRRRIII===666333111...***......---,,,,,,+++******,,,,,,+++******+++,,,,,,------,,,+++************+++++++++*********)))))),,,+++***)))***+++,,,---,,,++++++++++++++++++,,,((((((***++++++***)))((()))***++++++,,,,,,,,,,,,******))))))((((((''''''+++*********))))))(((((())))))(((((((((((())))))))))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))***+++++++++,,,,,,,,,,,,///...---------...///000/////////000222444666888@@@OOOaaattt~~~rrrhhhgggnnnuuu}}}wwwtttsssrrrwwwzzz{{{ooodddYYYSSSLLLGGGEEEDDDAAA>>>999999::::::::::::999888888888777777777888999999>>>???BBBDDDGGGJJJLLLMMMSSSWWW^^^dddiiioootttwwwxxx~~~~~~|||zzzxxxwwwvvvrrrsssuuuuuuttttttuuuwwwzzz|||{{{{{{yyy}}}zzzooo___VVVIIIAAA===:::777444000000111111111111222222444777:::>>>AAABBBCCCCCC<<<:::888555444444555555777666555444444555666777333444444555666777888888;;;888999===AAAIIIVVVcccjjjpppxxx}}}uuummmfff___UUUNNNLLLLLLKKKJJJJJJLLLPPPTTTXXX\\\aaadddfffgggjjjmmmiiiiiiiiihhhgggdddaaa```___\\\YYYWWWVVVWWWWWWXXXZZZZZZ\\\^^^bbbfffjjjlllvvvxxx{{{||||||~~~|||sssjjjdddaaaaaaaaadddhhhnnnqqqsssrrruuutttssspppkkkcccYYYRRRIIIAAA888333111111...,,,...------,,,++++++******,,,++++++******++++++,,,++++++++++++,,,---......+++++++++*********))))))***))))))))))))***++++++******))))))))))))******++++++,,,,,,,,,+++******))))))******+++************)))))))))((((((((('''*********)))))))))((((((++++++************++++++))))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))((())))))))))))*********++++++*********,,,---.../////////000111333555666888EEEVVVfffyyyzzzqqqmmmooorrr|||~~~{{{yyyxxxwwwwwwzzz~~~yyykkkddd[[[SSSNNNJJJDDD@@@???>>>=========<<<<<<;;;999888888777666666666666:::;;;<<>>888222.../////////---------,,,,,,++++++******,,,+++************+++,,,++++++++++++,,,---...///+++++++++***************'''((())))))******)))))))))((((((''''''(((((()))---,,,++++++************)))))))))***))))))(((((())))))))))))((((((((((((******))))))))))))((((((,,,,,,++++++++++++,,,,,,))))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))++++++,,,,,,,,,---------))))))))))))***,,,---...////////////000111222333222<<>><<<<<<<<<;;;:::;;;:::999888666666666666777777999:::<<<===>>>???CCCEEEGGGJJJLLLPPPUUUXXXZZZ___eeeiiikkknnnssswww|||}}}zzzwwwuuuttttttssssssrrrqqqppppppppprrruuuvvvvvvwwwzzz|||~~~{{{sssppprrrmmmsss{{{zzznnn___UUUEEE???777333333333333111555555555666666666777777333555777:::<<<>>>>>>>>>999888666555444444444555666666777777777777666666777777777777777777777777;;;999999<<<@@@FFFRRR^^^iiiooovvv|||}}}ssslllbbbZZZVVVTTTSSSRRRRRRTTTXXX[[[___dddjjjnnnqqqrrrssssssqqqpppooonnnmmmkkkhhhddd```]]]ZZZXXXVVVVVVWWWWWWWWWYYY\\\^^^eeeiiinnntttxxxzzzzzzzzzyyyyyyxxxwwwuuuuuuuuuvvv{{{}}}}}}vvvnnngggccc```aaaeeekkkppptttuuutttrrrmmmggg___VVVLLLBBB<<<666222...,,,---......---,,,,,,,,,,,,++++++******++++++************++++++...---,,,+++************************************'''((()))***+++***)))((((((((((((''''''(((((((((,,,+++)))'''''''''((((((************)))(((((('''))))))))))))(((((((((((())))))))))))))))))((((((******))))))))))))******((()))))))))************)))))))))))))))))))))))))))))))))))))))))))))))),,,,,,,,,,,,------------))))))***+++,,,.../////////........./////////000111777>>>EEEQQQeee}}}|||wwwwww|||}}}yyywwwxxx|||zzzssskkkbbb\\\PPPJJJDDD@@@??????===<<<<<<<<<:::999888888777888888888999999:::;;;;;;<<<>>>?????????@@@CCCGGGJJJLLLPPPUUUYYY\\\```dddhhhkkkoootttxxx{{{~~~~~~|||{{{zzzxxxvvvsssrrrqqqqqqqqqqqqqqqqqqqqqqqqqqqsssuuuxxx{{{|||~~~{{{ssslllkkknnnlllrrr{{{}}}uuulll```RRRIII>>>:::555222333444444333333333333444444444444555222333555888999:::;;;;;;777777555444444444444555555666777888888888777666:::999999999999999999999:::888999<<>>BBBDDDHHHKKKNNNRRRVVVXXX[[[^^^cccgggjjjmmmqqqtttvvvyyy}}}}}}yyyvvvtttssssssrrrqqqpppooonnnnnnmmmnnnooopppqqqrrrssstttuuuxxx|||{{{tttmmmggggggjjjqqqwwwxxxnnneee[[[PPPEEE===;;;888555333333444444444111111222222222333333333222333444555666777888888555555444444444444444444444555666888888888777666888888888888888888777777:::888999<<>><<<;;;:::::::::999999999999999999999999999::::::888777777999<<<<<<<<<>>>@@@CCCFFFHHHJJJMMMPPPSSSVVVYYY\\\```ccceeehhhlllooorrruuuyyy|||}}}~~~{{{zzzxxxuuurrrpppnnnmmmkkkjjjjjjjjjjjjkkklllmmmkkklllnnnppprrrtttvvvwwwyyy||||||tttnnnhhhdddeeejjjwww|||}}}vvvnnnbbbXXXOOOGGG???999666666444333222222222222222222222333333333444444333333333444444555555666333333444444444444444444333444555666666777777666555555555555555555555555999888999===@@@EEEOOOZZZffflllsssxxx|||uuurrrnnnllljjjgggeeebbbZZZZZZZZZZZZ[[[]]]aaadddgggjjjnnnqqqrrrssstttvvvtttsssqqqqqqrrrqqqmmmjjjdddbbb^^^[[[YYYYYYZZZ\\\\\\aaafffhhhhhhjjjoootttssswww|||yyywwwwwwxxxyyywwwuuurrrvvv|||}}}{{{zzzxxxwwwvvvuuusssnnnhhhdddYYYSSSIII???888444000...,,,---------,,,++++++,,,******************++++++((()))***++++++***)))((('''''''''(((((()))***+++))))))*********+++++++++)))(((((((((((()))******+++******))))))******+++'''((()))***++++++++++++(((((())))))***)))))))))'''((((((((()))))))))***'''''''''((((((((())))))******))))))))))))******))))))))))))************************************))))))))))))))))))))))))******+++++++++,,,,,,,,,)))***+++,,,------,,,+++,,,---...///000000/////////---...222444888DDDQQQhhhuuuyyytttrrrrrruuu{{{}}}qqqhhhccc^^^VVVOOOKKKIIIGGGDDDAAA???>>>===::::::::::::;;;;;;;;;;;;:::<<<<<<<<<;;;:::;;;<<<;;;:::::::::===???@@@AAABBBDDDGGGIIIKKKMMMQQQSSSVVVYYY]]]___aaadddgggjjjlllnnnppptttwww{{{}}}||||||{{{{{{yyyxxxvvvuuuqqqooommmjjjiiigggggggggfffffffffgggiiikkkmmmnnnmmmnnnpppsssvvvyyy|||}}}|||uuuooollliiihhhjjjpppzzz}}}tttkkkbbbVVVLLLEEE@@@;;;777222333333222111111222333222222222222333333333444333333333333333333444444222222333444444444444444333333333333444555666777333444444555555666666666999888:::>>>AAAFFFPPP[[[fffkkkrrrwww{{{yyynnnjjjfffdddbbbbbb```___]]]^^^___```aaacccfffhhhiiilllpppsssttttttuuuvvvpppnnnlllmmmooonnnkkkgggbbb___\\\YYYXXXZZZ\\\^^^^^^ccciiikkkjjjlllrrrwwwtttyyy|||yyyxxxyyyzzzxxxuuupppuuuzzz~~~~~~~~~yyyxxxvvvtttqqqkkkddd___SSSLLLBBB999333000...---)))+++,,,---,,,+++,,,,,,******************++++++((()))***++++++***)))(((,,,+++***)))(((((((((((())))))******++++++++++++(((((('''&&&&&&((()))*********))))))))))))******###%%%''')))******))))))&&&&&&'''((()))))))))((('''((((((((())))))******&&&'''''''''(((((())))))''''''&&&&&&&&&&&&''''''))))))))))))************************************))))))))))))))))))))))))(((((()))))))))*********,,,---.../////////...---,,,---...000111000000//////---...333555666===GGGVVVeee{{{|||wwwuuuoooqqqvvv{{{vvvoooeee]]]VVVTTTQQQLLLHHHEEECCCBBB==================>>>>>>666888::::::999888888999===<<<::::::<<<===>>>>>><<<>>>@@@AAABBBDDDGGGJJJJJJLLLOOOPPPRRRSSSVVVXXXZZZ\\\^^^bbbfffjjjlllnnnqqqrrrtttvvvxxxxxxxxxxxxxxxyyyzzz{{{{{{zzzyyyxxxtttuuuuuuuuutttssssssrrrnnnnnnmmmmmmkkkjjjhhhgggkkkiiifffdddbbbbbbcccdddeeeffffffhhhjjjmmmpppqqqqqqrrruuuxxx{{{~~~xxxrrrnnnmmmmmmmmmqqqwww{{{vvvlll___VVVJJJ@@@;;;888444222000222333333222222333555000000111111111222222222444444333222222333333444111111222333444444444444333333222222333444666777555666666777888999999:::888888:::>>>BBBGGGQQQ\\\eeekkkrrrwww{{{tttdddaaa^^^^^^___bbbcccdddbbbcccdddeeeggghhhiiijjjmmmnnnqqqssstttsssqqqpppllliiiffffffggghhhfffddd```___^^^]]]]]]```dddhhhlllmmmoooppppppooonnnnnntttwww}}}~~~zzzwwwxxxyyy{{{{{{xxxzzz|||}}}xxxrrrkkkbbbYYYRRRKKKDDD:::444222///+++&&&++++++++++++++++++++++++---,,,,,,++++++,,,,,,---,,,,,,,,,+++++++++++++++,,,,,,,,,+++++++++******(((((((((((((((((((((((())))))))))))))))))))))))((()))))))))))))))((((((((((((''''''''''''((((((******))))))))))))******)))((('''%%%%%%%%%&&&''')))))))))))))))))))))))),,,++++++***)))(((''''''+++***)))'''''''''((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))******))))))((())))))))),,,,,,,,,,,,---...//////000///...///000333555777IIISSScccwww{{{yyyqqqqqqtttyyyzzzuuujjjeee]]]VVVRRRNNNKKKIIIFFFDDDBBBAAABBBBBBAAA???<<<<<<<<<<<<;;;;;;;;;:::999888777888999999888666888999;;;<<<>>>?????????DDDCCCCCCCCCEEEFFFHHHIIILLLMMMPPPSSSWWW[[[]]]___```bbbdddfffgggfffeeeeeehhhhhhhhhiiiiiiiiijjjjjjhhhggggggfffffffffggggggcccccccccbbb```aaaccceeebbbaaaaaabbbcccddddddccceeegggjjjlllmmmooorrrttttttwwwzzz}}}{{{xxxuuutttsssssstttvvvyyy{{{}}}}}}uuuhhh```RRRKKKAAA;;;:::888444000111222222333333222222111111000111333555555333111222222222222222222222222444333222333555666555444111222333333444444333333555555666666777777888888888777888===AAAGGGRRR]]]lllooossswww{{{rrrsssuuuxxxzzz|||~~~~~~|||yyyxxxzzz|||~~~yyyoooeeeccc``````bbbdddfffffffffggghhhjjjkkkkkkllllllkkkmmmooopppqqqooonnnmmmhhhddd```^^^___aaaaaaaaa^^^^^^______```dddiiimmmooopppqqqqqqqqqpppooonnnqqqtttyyy~~~}}}yyywwwwwwxxxyyyyyyxxxzzz|||~~~{{{xxxrrrkkkdddZZZQQQKKKAAA;;;333///...---)))&&&************************,,,,,,++++++++++++,,,,,,******))))))((('''&&&&&&++++++++++++************************************))))))))))))))))))))))))(((((())))))))))))((((((((((((''''''''''''((((((******))))))))))))******+++***)))((((((((()))***))))))))))))))))))))))))''''''((()))******+++++++++***)))(((''''''((()))))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((,,,,,,++++++++++++,,,,,,------------...///000000222111000//////000111222999AAAOOOaaasss~~~}}}zzztttssstttxxx~~~}}}xxxqqqiiiccc]]]XXXUUUNNNLLLIIIGGGGGGFFFDDDBBB@@@???>>>===<<<;;;;;;;;;;;;:::999:::;;;<<<:::999777888999:::;;;<<<<<<<<>>>>>???AAABBBCCCDDDEEEGGGJJJLLLNNNPPPQQQSSSUUUWWWYYYZZZZZZYYYXXX[[[[[[[[[[[[\\\\\\]]]]]]\\\[[[[[[[[[[[[[[[\\\\\\]]]^^^^^^^^^]]]]]]___aaa_________```bbbccccccbbbgggiiimmmoooqqqtttwwwzzz|||}}}{{{yyyvvv{{{{{{zzzyyyzzz{{{}}}~~~~~~}}}||||||zzzmmm___UUUJJJCCC<<<777777666444111222222333333333333222222000/////////111111///---222222222222222222222222333222111222444444444222111222333333444444333333555555666666777777888888:::999;;;???CCCIIITTT```lllppptttxxx}}}^^^___```bbbeeeggghhhiiilllmmmppptttvvvxxxyyyyyyuuutttrrrooollliiifffeeefffiiilllnnnsssvvvrrrlllgggeeecccccceeehhhiiiiiiiiijjjkkkmmmmmmlllkkkkkkiiijjjkkklllkkkjjjiiihhhccc___YYYVVVWWWZZZ]]]___]]]___```bbbeeeiiinnnrrrssssssssssssrrrpppnnnmmmmmmppptttxxx{{{||||||||||||yyyvvvtttuuuwwwxxxxxxxxxxxx{{{~~~|||yyytttpppiiiaaa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sss}}}xxxxxx{{{wwwuuuuuuwww{{{zzztttqqqppprrrzzzzzzrrrjjjeee]]]ZZZVVVRRRPPPNNNKKKIIIHHHFFFCCC@@@>>>======>>>:::999888999::::::999888888999999:::;;;;;;::::::;;;;;;:::::::::;;;===>>>??????@@@AAACCCDDDEEEEEEGGGIIIKKKMMMOOONNNNNNMMMOOOOOOOOOPPPPPPPPPPPPPPPQQQQQQQQQQQQRRRSSSSSSTTTXXXYYYZZZZZZZZZ[[[]]]_________```aaacccdddeeeeeekkknnnrrruuuxxx|||}}}zzzzzz{{{|||||||||{{{zzzyyyyyy|||{{{pppaaaRRRGGG@@@;;;555333444444333222222333333444444333333222555333111111111222111///222222222222222222222222222111000111222333333111111222333333444444333333555555666666777777888888;;;:::;;;@@@CCCIIITTT```kkkpppvvv{{{PPPPPPQQQRRRTTTUUUWWWWWWXXXZZZ]]]```ccceeeggggggeeeeeedddccc```]]]ZZZYYYYYY\\\___bbbhhhooopppmmmjjjhhhfffgggiiikkklllllliiijjjkkklllkkkjjjhhhgggggggggggggggfffeeedddcccaaa\\\VVVRRRSSSWWW]]]``````bbbeeegggiiimmmrrruuuuuuuuutttsssqqqooolllkkkiiilllooosssuuuuuuuuuttttttrrrppppppsssuuuwwwwwwwwwwwwxxx{{{}}}|||wwwsssmmmhhh```XXXOOOFFF===777333000,,,+++,,,---,,,+++))))))))))))))))))))))))++++++************++++++,,,,,,+++***))))))(((((())))))))))))((((((((((((************************))))))))))))))))))))))))'''(((((())))))))))))(((((((((''''''''''''(((((())))))(((((((((((())))))''''''((((((((()))******))))))))))))))))))))))))((((((((())))))))))))))))))))))))(((((((((((()))))))))))))))))))))))))))((((((((((((((((((((((((++++++++++++++++++++++++******************+++,,,---,,,,,,------...///000,,,,,,,,,---...///111222///111666>>>LLL```vvvyyytttxxx}}}xxxwwwuuuvvvyyy|||}}}~~~}}}uuummmiiifffhhhpppyyy}}}xxxnnnkkkfffbbb^^^[[[WWWTTTRRROOOJJJFFFBBBAAAAAAAAA===;;;::::::;;;<<<;;;:::;;;;;;<<<<<<<<<<<<;;;;;;<<<;;;:::999999:::;;;;;;======>>>???AAABBBCCCCCCDDDEEEHHHJJJLLLLLLKKKJJJLLLLLLLLLLLLLLLLLLLLLLLLOOOOOOOOOPPPQQQRRRSSSTTTVVVWWWYYY[[[[[[]]]___aaabbbdddfffggghhhiiikkkmmmqqqtttyyy}}}~~~yyywwwwwwwww|||{{{{{{{{{~~~}}}}}}}}}yyyyyyyyyxxxxxxzzz~~~zzznnnbbbUUUHHH???999666222000111222222111333333444444444444333333666444111111222333333333111111111111222222222222222111000111333333333222111222333333444444333333555555666666777777888888999888:::>>>AAAGGGRRR]]]iiiooovvv|||IIIIIIHHHHHHHHHIIIJJJKKKKKKLLLOOORRRUUUWWWYYYZZZYYYZZZ[[[\\\ZZZWWWTTTRRRSSSWWWZZZ]]]dddlllpppooommmkkkiiiiiikkkmmmmmmlllhhhiiiiiiiiihhhgggfffeeeeeedddcccbbbaaaaaa``````]]]YYYUUUQQQRRRWWW]]]bbbfffhhhjjjlllmmmooorrrtttuuuttttttrrrpppllljjjhhhfffiiillloooppppppooonnnllljjjjjjlllpppuuuwwwxxxyyywwwxxxzzz|||yyyrrrllleee___WWWOOOFFF???777333111///---++++++,,,+++***************************+++******))))))******+++***+++++++++++++++++++++)))))))))(((((((((''''''))))))))))))))))))))))))((((((((((((((((((((((((''''''((()))))))))))))))((((((''''''''''''(((((())))))(((((((((((())))))''''''(((((())))))******((((((((((((((((((((((((((((((((((((((()))))))))((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((***************************)))))))))******+++,,,++++++++++++,,,---......++++++,,,,,,---...///000//////000222:::JJJ^^^lllxxxvvv{{{zzzxxxvvvwwwyyy|||}}}~~~|||tttkkkfffbbbaaahhhqqq|||~~~yyytttppplllhhheee^^^ZZZTTTNNNIIIFFFEEEEEEEEECCCAAA@@@@@@AAA@@@???======>>>>>>>>>===<<<<<<===<<<;;;:::999999:::::::::;;;<<<>>>@@@BBBCCCDDDCCCEEEHHHJJJLLLLLLKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKNNNNNNOOOPPPRRRSSSUUUVVVUUUWWW[[[]]]^^^```ccceeehhhjjjmmmooooooqqqtttvvvyyy}}}~~~xxxqqqnnnmmmnnnooovvvxxx{{{~~~|||{{{zzzyyyyyyxxxyyyyyyxxxxxxzzz~~~|||mmm^^^SSSJJJBBB===777555222111111111111111222333333444444333333222000...------///111222222000000000111111222222222333222111222333444444222111222333333444444333333555555666666777777888888999888999===@@@FFFQQQ\\\gggmmmuuu|||KKKJJJHHHFFFEEEEEEEEEFFFGGGHHHIIILLLNNNQQQSSSTTTSSSUUUXXXZZZZZZXXXUUUSSSVVVZZZ]]]^^^dddlllppppppooommmkkkkkklllmmmlllkkkhhhgggffffffeeedddddddddbbbaaa___]]]\\\\\\]]]^^^XXXWWWUUUSSSTTTYYY___eeekkkmmmooopppppppppqqqsssttttttsssqqqnnnkkkhhhfffccceeeiiikkkmmmmmmkkkjjjgggggggggkkkppptttwwwxxxzzzxxxwwwxxxyyyuuullldddZZZTTTMMMEEE???999333000...---,,,+++)))))))))(((******************************))))))))))))******((((((((()))******++++++))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((&&&'''((())))))******)))((((((''''''''''''(((((()))((((((''''''(((((()))))))))***+++++++++******((((((((((((((((((((((((%%%%%%&&&''')))***++++++'''(((((())))))))))))((((((((((((((((((((((((((())))))))))))))))))))))))''''''''''''''''''''''''************+++,,,------************+++,,,---...//////......---,,,,,,,,,000000///...000:::JJJVVVqqq}}}|||~~~}}}{{{yyyzzz||||||uuummmgggbbb^^^bbbiiittt|||~~~{{{nnnjjjddd]]]WWWRRROOONNNKKKHHHEEECCCCCCCCCBBBAAA???@@@@@@@@@@@@@@@???>>>AAA???===<<<:::::::::;;;888999;;;===???BBBCCCDDDCCCEEEHHHJJJLLLMMMLLLLLLLLLLLLKKKKKKKKKKKKJJJJJJLLLMMMNNNPPPRRRTTTVVVWWWWWW[[[___bbbeeegggjjjmmmooossswwwxxxyyyzzz~~~ssspppjjjeeecccdddgggjjjrrrvvv||||||zzzyyywwwvvvvvvwwwwwwyyyzzzzzzzzzzzz|||yyynnn]]]NNNFFFAAA>>>;;;777666444222111111111111111222222333333222222111///...---///222444444444//////000000111222222222333222111222444444444333111222333333444444333333555555666666777777888888:::999:::>>>AAAFFFQQQ\\\dddjjjssszzzXXXVVVSSSPPPMMMLLLLLLLLLLLLMMMNNNPPPRRRTTTVVVWWWXXX[[[___cccdddccc```^^^___ccceeeeeehhhooosssrrrpppnnnlllllllllllljjjhhhdddcccaaa_________```aaa^^^\\\ZZZXXXWWWXXXZZZ[[[VVVXXXYYYZZZ[[[___eeejjjmmmooorrrsssrrrqqqrrrrrrtttsssrrrqqqnnnkkkhhhfff```bbbeeehhhjjjiiihhhgggiiihhhiiilllqqquuuwwwwwwwwwsssqqqrrrrrrmmmbbbYYYNNNIIIBBB;;;777333000...+++,,,,,,+++)))((()))))))))))))))))))))))))))))))))))))))(((((()))))))))(((((((((((())))))))))))*********)))))))))(((((())))))))))))))))))))))))((((((((((((((((((((((((&&&'''((()))************((((((''''''''''''((((((((((((''''''''''''(((((())))))*********)))((('''((((((((((((((((((((((((&&&&&&''''''((())))))***&&&'''((()))******)))((((((((((((((((((((((((((())))))))))))))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&))))))))))))***+++,,,---++++++++++++,,,---....../////////......---,,,+++---///000...---222>>>GGGWWWhhh|||}}}~~~~~~~~~zzzsssmmmfff``````dddmmmuuuzzzsssllleeeaaa^^^UUUQQQMMMJJJIIIIIIGGGFFFDDDEEEFFFFFFFFFFFFFFFEEEGGGEEECCCAAA????????????===>>>@@@AAACCCEEEGGGHHHHHHIIILLLOOOQQQQQQQQQQQQPPPPPPPPPOOOOOOOOONNNNNNOOOPPPQQQSSSUUUXXX[[[\\\___ccchhhlllooorrruuuxxxzzz}}}xxxttthhhddd```\\\]]]aaafffjjjsssxxx~~~zzzrrrqqqpppppprrrtttvvvxxx{{{||||||||||||~~~yyyrrrggg\\\MMMBBB<<<:::999777666666555333222111111222000111111222222111111000111111111333555666555444/////////000111222222222222111000111222333333111111222333333444444333333555555666666777777888888999888999===@@@EEEPPP[[[bbbhhhpppxxxgggddd```\\\YYYXXXWWWWWWTTTTTTUUUVVVXXXZZZ\\\]]]```ccciiimmmoooooollljjjgggkkknnnlllnnnsssvvvvvvpppooommmllllllkkkiiiggg```^^^[[[YYYYYYZZZ\\\]]]ZZZYYYVVVTTTTTTUUUXXXYYYWWW[[[^^^```bbbeeekkkooommmpppsssttttttrrrrrrssstttssssssqqqnnnkkkhhhggg^^^```cccfffhhhhhhgggffflllkkkkkknnnrrruuuwwwwwwqqqnnnkkkkkkkkkeeeYYYOOOFFFAAA:::555222///---,,,+++,,,---,,,+++***+++,,,(((((((((((((((((((((((())))))(((((((((((())))))++++++******))))))((((((************))))))))))))************************((((((((((((((((((((((((&&&'''((()))************((((((''''''''''''((((((((((((''''''''''''((((((''''''(((((((((&&&%%%$$$((((((((((((((((((((((((******)))((('''&&&&&&%%%&&&'''(((*********)))((((((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((((((((((((&&&&&&&&&&&&'''((()))***,,,,,,,,,,,,---...//////,,,,,,---...////////////%%%))),,,+++))),,,555===CCCUUUlll}}}vvvwwwxxxzzz}}}yyytttlllcccaaadddgggoooyyy~~~}}}vvvpppmmmbbb___ZZZVVVUUUTTTRRRQQQJJJKKKLLLLLLMMMMMMMMMLLLMMMKKKIIIGGGEEEDDDDDDDDDEEEFFFGGGHHHJJJKKKLLLMMMNNNPPPSSSVVVXXXXXXXXXWWWWWWWWWVVVVVVUUUUUUUUUTTTTTTUUUVVVYYY[[[^^^aaabbbgggkkkpppuuuyyy|||yyyqqqkkkgggccc```\\\ZZZ\\\aaahhhmmmvvv|||xxxsssjjjjjjjjjlllooossswwwyyy|||}}}~~~~~~~~~zzzooogggYYYPPPDDD;;;777666555444555555555444222111222333000000111111111111000000/////////111222222000......//////000111222222222111//////000111222111000222222333444444444333333555555666666777888888888777555666:::===BBBMMMXXXaaafffooovvv}}}tttqqqmmmkkkiiigggeeecccaaa```^^^]]]___bbbeeehhhkkkooossssssuuuxxxwwwssssssnnniiiiiimmmqqqrrrqqqnnnllliiieeecccbbbbbbbbb]]]]]]\\\[[[YYYXXXWWWWWWVVVXXXYYYYYYXXXYYYZZZ\\\```aaadddgggkkknnnpppqqqvvvtttqqqoooooopppooonnnqqqpppppppppooolllgggddddddccccccccceeehhhkkkmmmrrrqqqqqqrrrtttuuutttsssppplllfffaaa\\\UUUKKKEEE:::888444111///......///+++++++++************))))))******))))))((('''&&&))))))))))))))))))))))))+++*********))))))((((((''''''###$$$)))***))))))************)))))))))))))))))))))******+++))))))(((((()))***++++++))))))))))))))))))))))))+++)))&&&$$$$$$&&&)))+++''''''(((((((((((((((((((((((((((((((((((((((((()))'''&&&(((+++---,,,***((((((((((((((((((((((((%%%''')))******)))'''%%%&&&''''''((()))******+++(((((())))))))))))(((((('''((())))))(((((()))***,,,...///---******---111......------,,,,,,,,,,,,+++***))))))+++---000111<<>>EEEOOOVVVaaahhhqqqxxx}}}{{{zzzyyyxxxwwwuuuqqqooollljjjhhhffffffhhhjjjkkklllpppssssssuuuwwwvvvrrrmmmhhhbbb___```bbbaaa```aaa```^^^\\\ZZZZZZZZZ[[[XXXXXXWWWWWWVVVUUUTTTTTTSSSWWW\\\```bbbdddfffgggjjjmmmrrrxxx|||~~~{{{yyyvvvtttpppkkkhhhiiijjjkkklllmmmmmmllllllhhhiiijjjlllnnnqqqtttuuuuuuuuuuuuvvvuuuqqqkkkgggaaa[[[SSSLLLGGG@@@999333333111///---+++++++++++++++++++++************)))&&&'''((()))************))))))))))))))))))))))))((((((((((((((()))))))))'''+++,,,+++***,,,***&&&((())))))******))))))((((((''''''''''''((())))))))))))((((((((()))******((((((((((((((((((((((((&&&'''((())))))((('''&&&))))))(((((('''''''''&&&(((((((((((((((((((((((()))((('''((()))***)))(((************************(((((((((((((((((((((((('''''''''''''''''''''((('''(((((())))))((((((''''''((())))))(((((()))***''''''''')))+++,,,+++***+++,,,---......,,,***)))...---,,,,,,,,,---///000///111666>>>KKK[[[lllwwwyyymmmeee```bbbfffooouuu}}}|||xxxqqqnnnjjjgggggghhhhhhgggkkkpppzzzzzzvvvuuuvvvxxxxxxqqqooommmjjjgggdddaaa```]]]\\\\\\]]]aaagggmmmpppuuuyyy}}}~~~|||xxxtttrrrppppppppprrruuuxxxzzz}}}|||uuunnngggbbb```___dddgggmmmssswwwyyyzzzzzz~~~xxxppphhhdddccceeeiiinnnuuu|||xxxrrriii```WWWNNNDDD===888555111000222333222000111111111111000000000000111000000000000000000//////000111222333333222111111111000000000000111111111111111111111111111111444333333222222222222333333333444555555666666777666777999;;;===DDDNNNUUU```gggqqqxxx}}}vvvuuuuuuuuuuuusssoookkkhhhfffdddbbbaaaaaabbbcccdddhhhkkkkkklllnnnmmmiiiddd```ZZZWWWWWWXXXXXXXXX\\\[[[ZZZXXXWWWVVVVVVVVVTTTTTTUUUVVVVVVWWWWWWXXXXXX]]]ccchhhjjjlllmmmnnnlllpppvvv|||~~~{{{wwwqqqkkkfffdddeeegggiiijjjllloooqqqqqqrrrssstttuuuvvvwwwxxxsssssssssssspppiiiaaa[[[TTTNNNFFF???;;;777222...///...---,,,+++*********+++++++++*********))))))''''''((()))))))))))))))))))))))))))))))))))))))((((((((())))))*********%%%)))+++***)))***'''"""(((((())))))))))))(((((('''&&&&&&&&&&&&'''(((((())))))((((((((())))))***((((((((((((((((((((((((''''''((())))))((('''''')))))))))(((''''''&&&&&&(((((((((((((((((((((((()))(((((((((((((((((('''))))))))))))))))))))))))((((((''''''''''''(((((('''''''''''''''&&&&&&&&&'''((((((((((((((((((''''''((())))))(((((()))***&&&%%%%%%(((,,,...+++(((+++,,,...000///---+++)))------,,,++++++,,,,,,---......///222;;;IIIYYYdddsss}}}uuukkkdddaaacccdddkkkttt~~~xxxssslllgggdddbbbaaa```aaafffppp{{{}}}yyyvvvssspppoookkkjjjiiiiiinnnttt{{{~~~|||zzzxxxsssnnnjjjgggffffffjjjmmmrrrxxx|||~~~~~~~~~}}}~~~~~~yyyssslllhhhfffiiimmmssszzz|||xxxppphhh\\\RRRJJJCCC<<<777333111///000111222000...000000000000000000000000111111000000/////////...---...111333444333222111111111000000000000111111111111111111111222222222333333222222222222222333222333333444555555666666555777999:::<<>>EEEQQQ^^^kkkxxxzzzqqqmmmhhhgggggghhhkkksss|||zzzvvvrrrooohhhgggfffhhhnnnwww~~~vvvpppmmmlllkkkkkkmmmqqquuuxxxtttuuuxxxzzz{{{}}}~~~~~~|||zzzxxxwwwuuuuuuuuutttttttttuuuvvvxxxzzz{{{{{{vvvqqqnnnnnnooonnnmmmlllpppwww}}}~~~|||xxx{{{~~~~~~}}}yyyqqqfff[[[UUUCCC>>>888444444444222000000000000///......///000---------....../////////.........///////////////111111111111111111111222111111000000000000111111///000000111222222333333111111111111111222333333111111111222333333444444444555777777999@@@IIIPPPYYYaaammmvvv|||VVVTTTPPPOOONNNMMMKKKIIIEEEDDDBBBAAA???>>>=========BBBFFFHHHJJJNNNNNNKKKMMMLLLIIIEEEBBBBBBDDDGGGIIIKKKOOOSSSXXX\\\^^^```bbbccceeegggiiikkkmmmnnnrrrtttvvvxxxxxxzzz|||~~~zzzzzz{{{|||}}}}}}}}}}}}zzzyyyvvvuuussspppllliiiggghhhiiihhhggglllvvv~~~yyytttqqqeee___VVVMMMEEE>>>999666444000---,,,......+++((('''((()))***+++++++++++++++++++++************)))&&&'''((()))************))))))))))))))))))))))))'''''''''&&&&&&%%%%%%$$$%%%+++......///000---(((''''''((((((((((((''''''(((''''''''''''((())))))***)))((('''''''''''''''''''''''''''''''''''''''$$$&&&)))++++++)))&&&$$$%%%%%%&&&'''((()))******(((((((((((((((((((((((("""$$$''''''%%%%%%'''***))))))))))))))))))))))))&&&''')))******)))'''&&&&&&''''''((()))***++++++&&&''''''''''''''''''&&&'''((())))))(((((()))***)))***+++)))''''''***---*********)))))))))))))))))))))***+++++++++++++++)))***,,,,,,,,,---///111111444<<>>=========>>>>>>???AAAEEEJJJOOORRRQQQPPPMMMHHHDDDEEEJJJPPPSSSVVVZZZ]]]aaaeeeiiimmmsssqqqooonnnmmmnnnpppqqqxxxyyyzzz{{{}}}}}}~~~~~~}}}}}}|||zzzxxxvvvsssrrruuuttttttttttttrrrnnnkkkmmmoooppppppoooqqquuuyyy~~~~~~}}}yyyrrrjjjdddYYYQQQFFF???;;;888333...++++++++++++++++++++++++************************))))))))))))))))))))))))******))))))***++++++,,,...***&&&'''+++,,,)))&&&((((((((()))((('''&&&&&&))))))))))))))))))))))))))))))))))))))))))))))))((((((''''''''''''(((((())))))***))))))(((''''''&&&&&&&&&'''''''''(((((((((((('''''''''&&&&&&&&&&&&&&&''''''''''''&&&&&&'''&&&%%%%%%&&&'''((()))''''''&&&&&&&&&(((***+++))))))((('''''''''''''''&&&&&&%%%&&&&&&'''((()))))))))((('''&&&&&&%%%%%%)))(((((('''&&&&&&%%%%%%((('''%%%$$$$$$%%%'''((())))))))))))************,,,,,,,,,+++++++++++++++''''''''''''((()))++++++,,,,,,,,,+++++++++******---000333888AAAPPPaaammm{{{|||yyyuuupppmmmllllllmmmqqqrrrvvv~~~xxxsssnnnooottt{{{}}}wwwttttttzzzzzz{{{|||~~~zzzxxxuuupppjjjccc^^^ZZZUUURRROOONNNPPPVVV]]]bbbmmmrrr|||}}}zzzxxxwwwwwwvvvuuusssrrrppppppoooiiihhheeebbb```aaaeeehhhkkkpppyyy}}}zzzuuuoooeee\\\TTTMMMHHHDDD:::666111///000000///---///...---,,,,,,---...///111111000000//////......////////////////////////000000000000000000000000111111222222222333333333000111111111111222222222222333333444444333333222000111222333444555555555222333333444777===DDDIIIVVV```llltttwww}}}MMMMMMLLLIIIEEEBBBBBBBBBDDDDDDDDDCCCBBBBBBAAAAAA?????????AAAFFFLLLQQQUUUXXXWWWTTTOOOKKKLLLQQQVVV___bbbgggjjjmmmpppsssuuuyyyxxxvvvtttsssssstttuuuxxxyyyzzz{{{|||||||||||||||{{{zzzxxxvvvtttrrrqqqrrrrrrrrrtttuuutttrrroooqqqrrrsssqqqpppppptttwwwzzzzzzzzzyyytttkkk```YYYOOOHHH???999777555222...++++++++++++++++++++++++************************))))))))))))))))))))))))******)))))))))******+++,,,)))&&&''')))***(((&&&)))))))))(((((((((''''''))))))))))))))))))))))))((((((((((((((((((((((((((((((''''''''''''((((((((()))))))))(((((('''&&&$$$$$$%%%%%%&&&&&&&&&&&&(((((('''''''''&&&&&&&&&&&&&&&''''''''''''&&&&&&''''''&&&%%%&&&'''((((((((('''&&&&&&&&&&&&&&&'''))))))((('''''''''''''''((((((''''''&&&''''''''')))(((((('''&&&&&&%%%%%%'''''''''''''''''''''''')))((('''&&&&&&'''((()))))))))))))))************''''''((()))************''''''''''''((()))***+++,,,,,,+++++++++************,,,///222999DDDRRR\\\mmmwww}}}xxxuuusssrrrrrrmmmmmmooouuu}}}~~~zzzvvvvvvzzzvvvooolllmmmnnnooopppssswww{{{~~~~~~yyyuuuooonnnjjjfff```[[[WWWUUUSSSQQQOOOOOOSSSXXX___cccooottt~~~~~~|||yyyxxxuuutttsssqqqnnnjjjgggfffbbbaaa___]]]\\\___cccgggooottt{{{{{{wwwhhhbbbXXXOOOHHHCCC>>><<<777444000...///000///---///...------------...///000000000000//////......////////////////////////000000000000000000000000000000000000111111111111000000111111111222222222222333333444444333333222222222333333444333333333555555666777:::???FFFLLLXXX```kkktttzzzPPPPPPNNNKKKGGGEEEFFFGGGHHHIIIJJJKKKKKKJJJIIIHHHFFFEEEEEEFFFKKKQQQWWW[[[``````^^^YYYUUUVVV[[[___kkkooouuuyyy{{{|||}}}~~~~~~|||zzzyyyxxxyyyyyyzzzzzz{{{{{{{{{{{{zzzzzzzzzyyywwwuuusssrrrqqqqqqppppppqqqsssvvvvvvuuussssssttttttrrroooooopppqqqssssssrrrpppjjj___RRRJJJAAA<<<555222222111///---))))))))))))))))))))))))************************))))))))))))))))))))))))***))))))((((((((()))))))))(((''''''''''''''''''+++***)))((('''((())))))))))))))))))))))))))))))''''''''''''''''''''''''((((((''''''''''''(((((('''(((((((((((('''&&&&&&%%%&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&''''''''''''&&&&&&(((((('''&&&&&&&&&''''''''''''''''''&&&%%%$$$###)))(((''''''&&&'''''''''******(((''''''&&&&&&&&&((((((((('''&&&&&&%%%%%%%%%%%%&&&&&&'''((())))))))))))))))))))))))))))))))))))))))))************$$$%%%''')))*********)))(((''''''(((((()))***+++++++++++++++*********)))(((***,,,...000666???FFFXXXcccrrr}}}{{{yyyxxxnnnkkkiiikkkpppwww}}}~~~~~~zzzoooiiibbbbbbbbbcccfffjjjmmmooosssuuuxxx||||||xxxtttpppllliiicccaaa^^^ZZZWWWUUUTTTSSSTTTTTTTTTVVVYYY___dddgggqqqvvv~~~zzzxxxvvvtttssspppmmmhhhccc___\\\ZZZZZZ[[[ZZZ[[[^^^cccgggqqqvvv}}}zzzrrrlll[[[UUULLLDDD>>>;;;999777444111///.../////////...///...------------...///000000000////////////...////////////////////////////////////////////////............////////////000000000111111111222222222222333333333333222222333333333333333222111111555666666777:::@@@GGGLLLXXX___hhhrrrzzzXXXWWWUUURRRNNNMMMOOOQQQOOOQQQSSSUUUVVVUUUTTTSSSSSSQQQPPPPPPRRRWWW]]]aaaeeefffdddaaa]]]]]]aaaeeeooottt{{{~~~|||{{{zzzzzz{{{||||||{{{{{{zzzyyyxxxxxxwwwuuusssqqqqqqqqqqqqrrrqqqrrrtttvvvwwwvvvuuussssssrrrpppnnnlllkkkkkkkkkjjjfffbbb[[[PPPFFF>>>666333...,,,---------,,,))))))))))))))))))))))))************************))))))))))))))))))))))))))))))(((''''''''''''(((((())))))(((&&&&&&((())),,,+++)))((('''(((***+++))))))))))))))))))))))))''''''''''''''''''''''''((((((''''''''''''((((((&&&'''''''''''''''&&&&&&((()))))))))))))))))))))''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&((((((''''''&&&&&&&&&&&&&&&&&&'''((('''&&&%%%$$$(((''''''&&&&&&'''''''''***)))((('''''''''''''''(((((('''''''''&&&&&&&&&%%%%%%&&&&&&'''(((((((((((()))************)))(((((()))))))))************&&&((()))+++++++++***)))((((((((((((((()))******+++************))))))))))))+++------,,,///444888CCCMMM]]]kkkvvv~~~}}}tttpppjjjgggiiimmmqqqsssvvvxxx|||wwwooodddbbb_________aaabbbbbbdddfffiiimmmqqquuuyyy{{{~~~|||xxxrrrmmmiiifffbbb```ZZZXXXVVVUUUUUUWWWYYYZZZ[[[\\\^^^aaaeeeiiilllooosssxxx~~~yyyvvvtttsssrrroookkkfffaaa]]]ZZZYYYVVVXXXZZZ[[[^^^aaafffjjjrrrvvv|||~~~~~~}}}{{{vvvmmmccc\\\NNNIIIAAA:::777555555444000///........./////////.........------.........////////////////////////////////////////////////////////////////////////------........./////////000000000000111111111111222222333333333333222222222222333333333222222111444444555666888>>>EEEJJJWWW\\\eeeooozzz___^^^\\\YYYVVVVVVWWWYYYXXXZZZ\\\^^^```___^^^]]]^^^\\\ZZZXXXYYY\\\___bbbggghhhgggeeeaaaaaadddhhhnnnttt|||~~~}}}|||{{{|||||||||{{{zzzyyywwwvvvuuuuuutttsssssssssssssssvvvuuutttuuuvvvvvvuuussssssrrrqqqooommmjjjgggeeebbb^^^XXXQQQJJJCCC<<<777111///,,,***************(((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((((((((('''''''''''''''(((((()))***)))(((((()))+++,,,+++)))((('''(((***+++((((((((((((((((((((((((''''''''''''''''''''''''((((((''''''''''''((((((&&&&&&'''''''''''''''&&&)))))))))))))))))))))(((&&&'''''''''''''''''''''&&&&&&''''''''''''&&&&&&(((((((((''''''&&&%%%%%%%%%&&&''')))))))))((('''''''''&&&&&&&&&&&&'''''''''''''''''''''((())))))'''''''''''''''&&&&&&&&&'''''''''''''''''''''''''''(((((())))))(((((('''((()))))))))************)))***++++++***)))(((''')))(((((((((((())))))************)))))))))(((((((((+++------++++++...111555===HHHTTTaaannn|||}}}wwwpppjjjhhhiiijjjkkkjjjlllpppuuuyyy~~~yyyoookkkeeeaaa```^^^\\\ZZZ\\\\\\^^^```dddgggjjjlllppprrruuuxxx|||}}}{{{xxxwwwtttrrrqqqqqqrrrsssuuuvvvwwwxxxyyy{{{||||||tttpppjjjeeebbb___\\\YYYVVVVVVUUUVVVZZZ^^^cccfffhhhiiikkknnnqqqsssuuuvvvxxx{{{yyytttrrrpppooommmiiiccc]]]YYYXXXYYYZZZVVVXXX[[[^^^aaadddhhhllltttwww}}}zzzxxxuuupppiii___TTTMMMAAA<<<666111000/////////---...............///000---..................---.............../////////////////////////////////////////////////////////........./////////000000//////000000000111111111111222222333333222222111///000111222333333333333333444444555888>>>EEEJJJWWW\\\eeepppzzzbbbbbbaaa___\\\\\\]]]^^^```aaaccceeeffffffffffffdddccc```^^^]]]^^^```aaafffhhhiiigggcccccceeehhhmmmrrrzzz~~~}}}|||zzzzzzyyyyyyxxxvvvuuutttssstttuuuvvvwwwwwwwwwwww{{{yyywwwvvvvvvuuusssqqqrrrqqqooollljjjeee___[[[UUUPPPIIIBBB===888444222...---,,,***))))))******(((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((('''''''''''''''((())))))***))))))))))))******++++++***)))((('''((())))))((((((((((((((((((((((((''''''''''''''''''''''''((((((''''''''''''((((((&&&&&&'''((((((((((((''''''''''''&&&&&&&&&&&&%%%&&&&&&&&&'''''''''''''''&&&&&&''''''''''''&&&&&&'''''''''(((''''''&&&%%%%%%&&&'''((())))))))))))&&&&&&&&&%%%&&&&&&'''(((%%%%%%%%%&&&&&&'''))))))''''''''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''''''''''''''))))))))))))************+++***)))((('''&&&&&&&&&))))))(((((((((((())))))))))))))))))((((((((((((%%%(((++++++)))(((***---...222999AAAKKKYYYhhhrrrzzzxxxsssooonnnlllkkkhhhhhhiiijjjmmmqqqtttvvv~~~}}}wwwoooiiifffccc___[[[\\\\\\[[[[[[\\\^^^```aaaeeegggjjjnnnrrruuuwwwxxxzzz|||~~~zzzvvvqqqooollljjjfffcccbbbbbbcccddddddeeehhhkkknnnqqqtttuuuppplllhhhdddaaa___[[[YYYZZZZZZ[[[^^^bbbhhhmmmpppssstttuuuvvvwwwxxxxxxyyyyyy{{{}}}xxxqqqnnnmmmllllllgggddd^^^YYYWWWXXX[[[]]]YYY\\\___bbbdddfffiiilllvvvyyy}}}}}}{{{rrrnnnhhhaaaYYYPPPHHHBBB;;;888333111000000000000,,,...//////......///111------...//////...---------............/////////////////////////////////////////////////////////////////////000000000111/////////000000000111111111111222222222222111111...///000222333333444444444555555666999???FFFKKKVVV]]]gggrrr{{{eeeffffffeeebbbaaaaaabbbeeeffffffggghhhiiijjjjjjgggfffeeedddccccccccccccfffiiijjjiiieeedddfffiiikkkpppvvv|||~~~|||{{{zzzvvvvvvuuuuuutttsssrrrqqqqqqssswwwzzz||||||{{{{{{~~~{{{xxxwwwvvvuuusssqqqooollliiieeeaaaZZZQQQKKKEEEAAA<<<777444111...,,,+++++++++***))))))***+++))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&''''''((()))++++++***(((&&&'''***+++***((()))))))))(((((((((''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''((((((&&&'''(((((()))))))))(((&&&&&&&&&&&&%%%%%%$$$$$$&&&&&&&&&'''''''''((((((&&&&&&''''''''''''&&&&&&%%%&&&'''((((((((('''&&&''''''&&&&&&&&&'''((((((&&&%%%%%%%%%&&&&&&'''(((&&&&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''%%%%%%&&&&&&'''(((((((((((((((&&&&&&&&&&&&(((((())))))))))))************,,,+++)))'''''''''((()))))))))(((((((((((())))))))))))((((((((('''''''''%%%(((******'''''')))++++++...111555;;;DDDPPPXXXfffnnnyyy}}}zzzvvvtttnnnlllhhheeeddddddggghhhpppvvv}}}yyytttrrrpppkkkgggfffeeebbb```^^^^^^^^^^^^aaabbbdddgggiiijjjkkkkkkjjjkkknnnoooqqqsssvvvyyy|||}}}|||yyywwwvvvwwwxxxyyy}}}}}}}}}}}}}}}}}}yyyxxxvvvsssoookkkgggdddaaa^^^[[[WWWUUUUUUWWWXXXYYY[[[___dddiiinnnrrrtttvvvtttqqqooollliiieeeccceeefffgggiiimmmrrrvvvyyyzzzzzzyyyxxxwwwvvvvvvuuutttuuuvvvxxxyyy{{{||||||yyytttlllfffddddddeeeeeegggeeebbb```______```aaa```cccfffhhhiiijjjlllmmmuuuwwwxxxyyyxxxtttqqqnnneee___WWWOOOHHHBBB===999888555333222222222111000---///111111///...///111------...//////...---------------.........//////////////////////////////000000000000000000000000////////////000000000000////////////000000000111111111222222222222111111///000111222222222222222333444444555888>>>EEEJJJQQQZZZgggqqqxxxhhhiiijjjjjjgggfffeeefffhhhhhhggghhhhhhjjjkkkllliiiiiiiiiiiihhhhhhgggggggggjjjkkkjjjgggfffhhhjjjjjjnnnssswwwzzz{{{|||}}}}}}}}}|||{{{zzzxxxwwwvvvrrrrrrrrrrrrqqqpppooonnnpppsssxxx|||~~~}}}~~~|||yyywwwvvvuuusssrrrjjjgggbbb]]]XXXOOOEEE===999777444222000...***'''((()))******))))))+++---************************))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&&&&''')))***,,,---***&&&###%%%))),,,***&&&((((((((()))((('''&&&&&&(((((((((((((((((((((((())))))))))))))))))))))))((((((''''''''''''((((((''''''((()))******))))))(((((('''''''''&&&&&&&&&&&&&&&&&&'''''''''((((((&&&''''''''''''''''''&&&$$$%%%'''((((((((('''''')))(((&&&%%%$$$$$$%%%&&&%%%%%%%%%%%%&&&&&&'''(((''''''&&&%%%$$$$$$$$$$$$&&&'''''''''''''''''''''###$$$%%%&&&((()))*********((('''%%%%%%'''(((***))))))))))))************...,,,***((()))***---///***)))(((((((((((()))))))))((((((((('''''''''''''''***,,,+++(((''')))+++***,,,///000222777???EEEUUU___mmmyyy~~~vvvqqqjjjccc___]]]^^^___eeekkkuuu~~~}}}}}}|||wwwsssrrroookkkgggdddbbbaaaaaa___aaabbbdddddddddcccccc]]]___aaabbbcccfffiiikkkpppuuu|||~~~|||yyyxxxxxxqqqooommmkkkkkkkkklllmmmmmmmmmmmmlllmmmpppuuuyyy~~~~~~~~~|||xxxtttqqqnnnnnnllljjjfffccc___]]][[[XXXTTTPPPNNNOOOPPPQQQVVVXXX]]]cccjjjpppuuuwww}}}{{{zzzwwwrrroooppppppqqqsssvvvzzz}}}|||{{{yyyvvvtttrrrqqqqqqmmmmmmnnnpppqqqssstttuuuooojjjbbb]]]\\\]]]^^^___jjjjjjjjjjjjiiigggffffffgggjjjmmmooooooooopppqqqrrrssssssrrrooojjjeeeaaaYYYRRRIIIAAA<<<888555444111000......//////---+++---000222222///...///111,,,---...//////...---,,,---------.........//////////////////////////////111111111111111111111111.........////////////000////////////000000000000111111222222222222111111111222222222222111000000111111222333666;;;BBBGGGLLLVVVdddmmmssszzziiihhhgggfffeeefffggggggnnnjjjggggggjjjmmmnnnnnnpppqqqsssrrrqqqppppppqqqnnnmmmmmmllllllkkkjjjjjjlllnnnpppqqqrrrtttwwwzzz}}}|||zzzxxxvvvtttssssssnnnnnnnnnnnnnnnnnnooooooqqqsssxxx~~~~~~|||zzzxxxvvvsssooojjjgggeee]]]TTTMMMIIIDDD<<<777444222///,,,***))))))))),,,+++***((((((((()))*********))))))((((((''''''******))))))(((((('''''')))((('''&&&&&&'''((()))((((((((((((((((((((((((---,,,***(((&&&&&&&&&&&&&&&'''(((''''''''')))+++***)))((('''''''''))))))((()))******)))((('''&&&(((&&&"""!!!$$$&&&'''&&&%%%%%%'''(((((('''&&&&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%'''(((((('''&&&%%%&&&'''(((((('''&&&%%%''''''((()))*********)))''''''''''''''''''&&&&&&))))))((('''&&&&&&%%%%%%))))))***))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((())))))))))))***+++,,,---******++++++++++++******%%%&&&((()))))))))((('''))))))************)))(((************************+++++++++,,,...111555777@@@IIIWWWdddooowww}}}xxxooofff```\\\ZZZXXXXXX___hhhqqqzzz~~~yyyuuupppmmmkkkjjjkkklllnnnpppooojjjccc^^^___^^^]]]]]]]]]___aaabbbgggiiilllnnnnnnllljjjhhhjjjgggbbb```___```___^^^ccccccbbbaaaaaacccgggkkkpppqqqrrrqqqmmmjjjiiiiiifffeeedddbbb```___]]]\\\^^^ZZZVVVSSSSSSSSSSSSRRRVVVZZZ```gggoooxxx|||}}}zzzwwwvvvwwwxxxyyyyyyyyyuuuooonnnnnnlllgggbbbaaaaaabbbcccdddeeeffffff^^^\\\ZZZVVVUUUXXX]]]aaakkkmmmppprrrssssssqqqpppsssrrrqqqqqqrrrqqqooonnnpppkkkgggdddbbb]]]UUUNNNFFFCCC???:::666444333333////////////000000000000------......///000111111---......---++++++,,,...//////......---------,,,---------............///,,,,,,,,,,,,,,,,,,++++++/////////...------,,,,,,000000000000111111111111000000000000000000000000......000111333555666666444555666777999>>>DDDIIIQQQXXXaaajjjrrrzzziiigggfffddddddddddddeeekkkhhhfffgggkkknnnpppqqqtttvvvxxxwwwvvvttttttuuurrrqqqooonnnmmmllllllllllllnnnooopppppprrruuuwwwxxxxxxxxxwwwuuussspppoooqqqqqqqqqqqqppppppoooooonnnpppuuuzzz}}}xxxuuurrroookkkgggbbb^^^TTTNNNFFF@@@<<<888222---222111...+++)))))))))***,,,+++)))((((((((()))******)))))))))((((((((('''(((((((((((()))))))))))))))((('''&&&&&&'''((()))((((((((((((((((((((((((,,,+++)))((('''&&&'''''''''(((((((((&&&&&&(((***))))))((((((((())))))***))))))((('''&&&&&&''''''+++)))&&&$$$###%%%''')))(((&&&%%%&&&''')))(((((()))))))))((('''''''''&&&'''''''''''''''''''''''''''&&&&&&'''))))))(((&&&&&&&&&'''(((((('''&&&&&&&&&&&&&&&''''''&&&&&&&&&'''''''''''''''''''''''')))(((((('''&&&&&&%%%%%%(((((())))))(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((()))))))))))))))***+++,,,,,,)))******++++++******)))&&&''''''((((((((((((((('''((())))))*********)))''''''''''''''''''''''''++++++******+++---000111333:::DDDPPP[[[fffpppvvv}}}vvvllleee```\\\ZZZWWW[[[```gggooozzzzzzvvvsssqqqpppssstttvvvxxxyyyuuuoookkkaaa```^^^\\\\\\]]]___```ccceeeggghhhhhhfffdddcccccc```]]][[[[[[ZZZYYYXXX[[[[[[[[[ZZZYYY[[[___bbbfffggghhhgggdddaaa``````cccbbbbbbbbbbbbbbbbbbbbbddd```[[[XXXXXXYYYYYYYYY```ccciiipppwww~~~|||zzzwwwwwwwwwxxxxxxwwwtttoooiiigggfffddd^^^ZZZXXXXXXXXXYYY[[[\\\^^^___\\\ZZZXXXUUUTTTWWW[[[___nnnppptttwwwxxxxxxwwwvvvwwwuuutttttttttrrrooollljjjeee^^^YYYUUUNNNFFF???<<<:::666333111000///000....../////////000000000/////////............---,,,---------++++++---///111111111111000000000///---------............///------------............------..................//////000000000111111111000000000000000000000000//////000111333444555555111222333444666:::@@@DDDOOOUUU___hhhpppyyyhhhgggeeecccaaaaaaaaaaaagggeeedddfffkkkpppssstttzzz|||}}}}}}{{{zzzzzzzzzwwwvvvssspppnnnnnnnnnooolllmmmnnnnnnnnnoooqqqssstttvvvwwwxxxvvvsssooolllsssssssssrrrqqqpppnnnnnnkkkmmmpppuuuyyy{{{yyyxxxnnnkkkgggccc^^^YYYTTTPPPGGGAAA;;;777555222...***///...,,,***)))))))))***+++***))))))((()))))))))))))))))))))(((((((((((('''''''''((()))*********((((((''''''''''''(((((())))))))))))))))))))))))***)))((((((''''''((((((((())))))(((&&&&&&''')))'''((()))******************(((&&&$$$$$$%%%'''(((******((('''''''''((()))((('''&&&&&&((())))))(((+++******)))((('''&&&&&&''''''''''''''''''''''''(((''''''(((******)))(((&&&&&&'''(((((('''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%''''''''''''''''''''''''((((((((('''&&&&&&%%%%%%'''''''''(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((()))))))))************************)))******++++++******)))'''''''''''''''((())))))'''''''''(((((()))))))))))))))))))))))))))))))))+++***)))(((((()))***+++***---333999CCCNNNZZZbbbmmmuuu~~~|||rrrjjjeee```]]]ZZZZZZ[[[^^^cccmmmxxx}}}yyywwwvvvxxxyyy||||||xxxmmmkkkgggdddcccdddfffgggffffffffffffeeedddcccccc```___]]]\\\\\\[[[XXXVVVWWWWWWWWWVVVUUUWWW[[[^^^eeegggiiihhhfffcccbbbaaacccdddeeeggghhhjjjkkkllllllhhhccc```___```aaaaaafffjjjpppvvv{{{{{{yyywwwwwwwwwvvvtttrrrlllhhhbbb^^^\\\YYYTTTPPPNNNNNNNNNPPPRRRVVVYYY[[[^^^]]][[[YYYXXXZZZ^^^aaapppsssvvvzzz}}}}}}}}}|||zzzxxxvvvuuurrrnnniiieee^^^YYYQQQJJJEEE@@@999333222000///---,,,,,,---............////////////000111000///...---++++++***+++,,,---,,,+++,,,...000///............------------------............///.........//////000000111,,,,,,------...//////000//////000000000000111111000000000000000000000000000000111111222333333444222333555777999<<>>BBBLLLRRRZZZbbbkkkuuulllkkkiiifffeeedddddddddcccdddeeeeeefffiiinnnrrrtttxxx}}}}}}{{{yyyxxxwwwwwwyyyzzzzzzyyywwwvvvwwwxxx|||{{{uuuuuuuuutttrrrnnnjjjggg^^^ZZZTTTOOOJJJFFFBBB???999666333000//////---,,,---,,,,,,***)))***+++,,,))))))*********))))))((('''((()))***+++******)))'''((((((((()))))))))***))))))))))))((((((((((((&&&'''((())))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((('''&&&%%%'''(((((((((&&&&&&(((***((('''''''''''''''((((((%%%&&&(((******)))((('''&&&&&&%%%%%%&&&''''''(((&&&%%%$$$$$$&&&''''''&&&$$$%%%%%%&&&&&&'''''''''((((((((((((((((((((((((&&&&&&&&&(((+++,,,+++***((('''&&&&&&&&&&&&'''((()))(((&&&%%%$$$%%%&&&'''%%%%%%&&&&&&'''(((((()))''''''''''''''''''''''''%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%''')))***+++***)))((((((((())))))))))))((((((&&&''''''(((((((((((((((+++)))(((''''''(((***+++************************(((((()))***++++++++++++''')))*********+++---///---222;;;CCCKKKVVVbbbjjjrrryyy}}}{{{xxxtttpppmmmkkkhhhdddaaa^^^____________bbbgggkkkoooppprrruuuyyy~~~~~~{{{yyywwwwwwyyy}}}|||zzzqqqrrrtttuuuwww{{{{{{{{{{{{zzzzzzyyyyyyyyyvvvtttrrrooommmhhhccc___^^^___aaacccgggmmmtttyyyxxxwwwuuusssooolllhhhgggeeeccc```___`````````___[[[ZZZYYYWWWVVVWWWZZZ\\\]]]___aaadddiiimmmppprrruuuvvvvvvssspppmmmlllmmmrrrsssttttttssspppllljjj___ZZZSSSLLLFFF@@@:::777222111000---+++******+++******+++,,,,,,---------+++,,,,,,,,,,,,---------........................+++,,,,,,+++******,,,---******+++++++++,,,,,,,,,---------............///------------------------..................------........./////////000000000000000000000000000000//////000000111111222222666555444333444999@@@FFFLLLQQQYYY```hhhrrr~~~mmmllljjjhhhgggffffffgggfffggghhhgggfffhhhnnnrrrtttxxx~~~~~~}}}{{{zzzyyy|||}}}}}}{{{zzzyyyzzz{{{zzz~~~zzzttttttsssqqqmmmhhhccc```XXXTTTMMMGGGBBB>>>:::777333000---,,,,,,---,,,+++++++++***)))'''''')))***)))************))))))((('''((()))+++++++++***)))'''((((((((())))))******''''''(((((())))))******&&&'''((())))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((('''%%%$$$&&&'''(((''''''''')))+++)))(((&&&%%%%%%&&&'''(((%%%&&&&&&''''''(((((((((%%%$$$$$$###$$$%%%&&&'''&&&$$$######%%%&&&&&&%%%''''''''''''''''''&&&&&&''''''''''''''''''''''''&&&%%%&&&(((***,,,+++***((('''&&&%%%%%%&&&'''(((///---***(((&&&&&&&&&'''%%%%%%&&&&&&'''((())))))&&&'''''''''''''''''''''%%%&&&&&&'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((($$$&&&(((***++++++***)))(((((())))))))))))((((((%%%&&&((()))))))))(((''')))(((''''''(((***---///''''''''''''''''''''''''))))))***************)))*********)))((((((+++---))),,,000444:::CCCNNNWWWaaajjjuuu~~~~~~|||zzz}}}yyyssspppooonnnkkkhhhdddccc___[[[WWWVVVYYY[[[```aaabbbeeeiiinnnrrrttt|||}}}}}}}}}|||zzzxxxwwwpppppprrruuuzzz~~~}}}{{{rrrsssuuuvvvyyy~~~}}}}}}||||||{{{zzzzzzzzzvvvuuusssqqqmmmhhhaaa\\\XXXXXXXXXYYY\\\aaaiiinnnqqqooommmjjjfffccc___^^^^^^\\\YYYZZZ\\\^^^``````______^^^]]]]]]```dddgggggghhhjjjmmmooorrrssstttxxxxxxxxxvvvrrrnnnmmmlllnnnnnnnnnmmmkkkfffbbb```QQQLLLEEE???:::666333000---......---,,,,,,---...((()))+++---.../////////++++++,,,,,,,,,---------000000/////////.........+++,,,,,,+++***)))+++,,,---------....../////////---------.........//////...............---------,,,,,,------.../////////............/////////000000000000000000000000000/////////000111111222222444333000///000555===CCCKKKPPPWWW^^^fffppp|||pppnnnlllkkklllmmmllllllnnnllljjjiiiiiillloooqqqrrrvvv|||~~~}}}}}}~~~~~~}}}}}}|||zzzwwwtttwwwxxxzzz}}}~~~|||xxxtttmmmmmmllljjjeee___XXXUUUQQQLLLCCC:::444111111222,,,,,,+++***)))((('''''')))***+++,,,,,,+++***)))+++******)))(((''''''&&&'''''''''''''''((())))))(((((((((((())))))))))))((((((((((((((((((((((((''''''((((((''''''&&&%%%)))))))))+++,,,+++)))&&&))))))(((((((((((())))))(((''''''''''''((())))))(((((((((((((((((((((((((((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&''')))((('''&&&&&&&&&&&&&&&"""$$$&&&((())))))((((((((((((''''''''''''((((((%%%&&&'''((())))))))))))++++++)))(((((('''''''''((((((((((((((((((((('''(((((('''''''''&&&&&&&&&((((((((('''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&'''((()))***++++++***&&&$$$&&&+++,,,)))%%%'''(((***+++***)))'''&&&''''''''''''''''''''''''((('''&&&%%%$$$$$$%%%&&&(((((((((((((((((((((((('''((()))((('''&&&'''(((...***,,,222333111888DDDJJJQQQ\\\iiittt|||}}}{{{xxxuuusssrrrpppnnnkkkhhhccc]]]XXXUUUSSSRRRYYYYYYZZZ\\\^^^aaacccdddkkkkkkjjjlllnnnoooooonnnkkklllmmmmmmnnnqqqvvvyyy{{{zzz{{{|||}}}}}}{{{yyy|||}}}~~~~~~~~~zzzwwwrrrrrrrrrsssuuuyyyyyywwwvvvwwwzzzzzzwwwuuuvvvrrrmmmjjjgggbbb\\\WWWRRRQQQNNNNNNPPPUUU[[[___gggeeeaaa]]]ZZZYYYXXXYYYXXXYYYZZZ[[[]]]```bbbccccccdddeeegggiiikkkmmmoooppprrrtttsssqqqqqqsssuuuvvvtttrrrpppooommmiiifffhhhgggccc^^^WWWQQQKKKHHH>>><<<888444000............---,,,,,,++++++++++++,,,,,,,,,------,,,,,,+++---------...------,,,,,,+++,,,,,,------,,,,,,+++*********+++,,,---...///...------,,,,,,------...------------------------,,,,,,,,,---------......111...++++++---...,,,***---------------,,,,,,,,,//////000000000000////////////000111222222333333111222333333444777;;;>>>IIIOOOWWW^^^fffppp{{{wwwuuusssrrrsssttttttssssssqqqooommmlllnnnppprrrtttwww}}}}}}|||||||||{{{xxxuuusssssstttvvvvvvtttpppmmmiiihhhfffbbb\\\UUUOOOKKKCCCAAA<<<777222///...---++++++******)))((((((((())))))************))))))******))))))(((''''''&&&'''''''''''''''((())))))&&&''''''''''''((((((((())))))))))))))))))))))))''''''((((((''''''&&&%%%&&&&&&&&&'''((((((&&&$$$&&&&&&%%%%%%%%%%%%&&&&&&)))(((''''''&&&&&&''''''))))))))))))))))))))))))'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''(((((('''&&&&&&&&&&&&&&&)))))))))))))))(((''''''''''''&&&&&&&&&&&&''''''%%%&&&'''((())))))))))))))))))((('''&&&%%%%%%&&&)))((((((''''''&&&&&&&&&(((((('''''''''&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((((((((())))))))))))'''$$$"""$$$'''(((%%%!!!###%%%''')))******))))))''''''''''''''''''''''''(((''''''&&&&&&&&&&&&&&&(((((((((((((((((((((((('''((()))((('''&&&''')))'''&&&***000111...111777>>>BBBKKKUUU```iiippptttzzz}}}~~~{{{yyyxxxwwwvvvtttrrrppplllfff```ZZZVVVSSSVVVXXX[[[^^^```aaa``````cccaaa```aaaccceeeeeedddaaabbbbbbbbbbbbdddhhhjjjooooooppprrruuuvvvuuussstttuuuvvvyyy{{{|||}}}~~~}}}{{{zzzzzzyyyvvvsssooooooooooooqqquuu{{{}}}{{{zzztttsssqqqrrrttttttrrrppprrroookkkgggccc]]]VVVQQQMMMKKKIIIHHHJJJNNNSSSVVV]]]\\\ZZZXXXVVVVVVVVVVVVZZZ[[[\\\^^^```bbbeeefffllllllmmmnnnoooqqqrrrssssssuuuwwwvvvttttttuuuwwwvvvssspppmmmjjjgggccc```ZZZYYYVVVQQQKKKEEE@@@===888666333000///............---,,,+++++++++++++++++++++,,,,,,---,,,,,,,,,,,,---------------,,,,,,,,,------......------,,,,,,,,,+++++++++,,,------------,,,,,,,,,,,,------------------------------,,,,,,,,,---------......///---++++++...000000///000000000000000000000000000000111111111111000000//////000111111222333333111222333333444777;;;>>>IIINNNVVV^^^fffooo{{{}}}|||zzzzzz||||||{{{zzzxxxvvvssspppooooooqqqrrrsssvvv|||{{{zzzyyyxxxyyywwwuuusssnnnmmmkkkjjjjjjhhheeebbbaaa___[[[UUUNNNGGGBBB???333333333222///---***((())))))))))))))))))))))))))))))(((((((((((())))))***))))))(((((('''''''''(((''''''''''''(((((()))%%%%%%&&&&&&&&&'''''''''))))))))))))))))))))))))''''''((((((''''''&&&%%%&&&%%%$$$%%%&&&'''&&&$$$((((((''''''''''''(((((()))((('''&&&%%%%%%%%%%%%))))))))))))))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''(((((('''&&&&&&&&&&&&'''+++***)))(((''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&'''(((((((((((((((''''''&&&%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''***)))))))))((((((((('''***(((&&&'''))))))'''######$$$&&&((())))))((((((''''''''''''''''''''''''''''''((((((((('''&&&&&&((((((((((((((((((((((((&&&((()))((('''&&&((()))((()))+++---------...111111333777>>>HHHRRR[[[```iiinnnuuuzzz||||||||||||~~~~~~}}}{{{zzzyyyyyyxxxuuutttrrrnnnhhhbbb\\\XXXXXX\\\aaafffhhhgggdddbbb___]]]ZZZYYYZZZ[[[[[[[[[ZZZZZZZZZYYYWWWWWWZZZ\\\______```cccgggiiiiiiiiiiiiiiijjjlllooosssvvvxxxyyywwwuuutttsssqqqnnnllliiijjjiiiiiijjjnnntttxxx}}}|||zzzxxxuuusssqqqpppmmmlllkkkkkkllllllkkkiiijjjhhheeebbb^^^WWWPPPKKKGGGEEEDDDCCCDDDGGGKKKNNNTTTTTTUUUUUUVVVWWWXXXXXX^^^___```bbbdddgggiiikkkqqqrrrrrrssstttuuuvvvvvvwwwxxxyyyxxxuuutttuuuvvvrrrooojjjeeeaaa\\\WWWTTTJJJIIIFFFBBB>>>999555333111000...---,,,------...---,,,,,,++++++++++++,,,******+++,,,------,,,,,,,,,,,,------------,,,,,,------............------...---,,,,,,+++++++++,,,,,,++++++++++++++++++,,,,,,,,,,,,,,,------------,,,,,,,,,---------......000...,,,,,,...000111222111111111222222222222222000111111222222111111000///000000111111222222222111222333333444777;;;>>>HHHMMMUUU]]]eeeooozzz~~~}}}{{{yyyuuurrrpppooopppppprrrtttxxx}}}}}}|||vvvtttrrrrrrrrrqqqooommmiiifffbbb___]]][[[YYYWWWUUURRRMMMGGGAAA<<<888666***+++,,,---,,,***((('''(((((((((((())))))******)))((('''&&&&&&'''((()))))))))((((((((('''''''''((((((''''''''''''((()))%%%&&&&&&&&&&&&'''''''''(((((((((((((((((((((((('''''''''(((''''''&&&%%%)))'''%%%&&&''')))(((((())))))(((((((((((())))))'''&&&&&&%%%%%%%%%&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''(((''''''&&&&&&&&&''''''&&&&&&%%%$$$%%%&&&'''((('''&&&&&&%%%%%%&&&&&&'''%%%&&&''''''((((((((('''&&&&&&%%%$$$$$$$$$$$$$$$"""###$$$%%%&&&((())))))''''''''''''''''''''''''%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''))))))))))))((((((((((((,,,***))))))******'''%%%&&&&&&'''''''''&&&%%%$$$''''''''''''''''''''''''&&&'''((())))))((('''&&&((((((((((((((((((((((((&&&'''((((((''''''((())),,,,,,,,,,,,,,,,,,,,,...,,,,,,...333999AAAHHHMMMUUU[[[dddlllqqquuuwwwyyyzzz{{{{{{zzzyyywwwwwwxxxsssrrrpppnnnjjjfffbbb``````cccjjjooossssssrrrqqqiiieee```\\\[[[[[[[[[ZZZ[[[[[[[[[YYYVVVUUUVVVWWWUUUUUUUUUXXX\\\^^^^^^^^^``````___```bbbfffjjjlllooonnnmmmkkkiiigggdddcccbbbbbbbbbaaaaaadddiiimmmpppooommmkkkhhhfffdddccceeedddcccccccccddddddcccbbbaaa```^^^ZZZTTTNNNJJJFFFEEEDDDDDDFFFIIILLLNNNSSSTTTWWWZZZ\\\^^^___```cccccceeegggiiilllnnnoooqqqrrrssstttuuuvvvvvvvvv{{{{{{yyyvvvssspppnnnnnniiieee___YYYTTTNNNIIIEEE???>>><<<999666333000///---,,,,,,+++++++++,,,---,,,,,,+++++++++++++++,,,)))***+++,,,,,,,,,,,,,,,++++++,,,---------,,,,,,,,,,,,------------,,,,,,---,,,,,,++++++,,,,,,,,,++++++************++++++,,,,,,,,,,,,,,,---------,,,,,,,,,---------......333111...,,,,,,---...//////////////////000000000000000111111111111000000///000000000111111111222111222333333444777;;;>>>FFFLLLTTT\\\dddnnnzzz~~~|||zzzwwwtttrrrqqqqqqqqqrrrssswwwzzz|||~~~~~~~~~{{{{{{||||||{{{yyywwwvvvqqqooommmlllkkkjjjiiigggccc___YYYUUURRRPPPNNNLLLGGGDDD@@@<<<777444222111+++******)))))))))(((((('''''''''((())))))******)))((('''&&&&&&'''((()))((((((((((((''''''''''''((((((''''''''''''((((((&&&&&&'''''''''((((((((('''''''''''''''''''''''''''''''''(((''''''&&&%%%)))'''&&&&&&(((******)))&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&''''''(((&&&%%%$$$$$$$$$&&&''')))((((((''''''''''''((((((%%%&&&&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''(((&&&'''''''''''''''''''''%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''((()))*********(((((('''''''''&&&$$$###&&&&&&&&&&&&&&&%%%%%%$$$''''''''''''''''''''''''&&&'''((())))))((('''&&&((((((((((((((((((((((((%%%'''((((((''''''(((***))))))000888888000(((&&&++++++---///333666:::<<>>EEEJJJSSS[[[cccmmmyyy}}}}}}|||{{{zzzwwwuuusssrrrrrrrrrrrrsssuuuwwwxxxyyyyyyxxxuuuuuuuuutttsssrrrqqqqqqnnnkkkhhhfffeeedddbbb```[[[VVVPPPKKKHHHEEECCCAAA:::999777444111000......,,,+++)))((((((((()))***'''''''''(((((()))))))))((((((''''''''''''(((((('''''''''''''''''''''''')))((((((''''''''''''(((&&&''''''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&%%%&&&%%%$$$%%%'''((((((''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&&&&&&&'''(((((()))(((''''''''''''''''''(((((((((''''''(((((((((%%%&&&&&&'''''''''&&&&&&'''&&&&&&%%%%%%&&&&&&&&&((((((((('''&&&%%%%%%$$$&&&&&&&&&'''''''''''''''&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))***++++++))))))))))))((('''&&&&&&###$$$$$$%%%&&&'''((()))''''''''''''''''''''''''&&&&&&'''(((((((((''''''((((((((((((((((((((((((%%%'''(((((('''''')))***(((***;;;RRRSSS<<<)))%%%)))***+++,,,...//////000555888>>>DDDKKKSSS[[[```jjjnnnrrrtttrrrrrrtttvvvwwwtttooojjjfffdddccccccfffhhhlllqqqxxx{{{uuuppplllhhheeeccceeefffgggfffdddccccccddd___]]][[[[[[[[[[[[[[[YYYYYYWWWTTTQQQPPPPPPQQQSSSXXXYYYYYYWWWTTTRRRQQQQQQPPPQQQPPPOOONNNOOOQQQTTTZZZYYYXXXWWWUUUTTTSSSRRRRRRSSSTTTSSSSSSUUUXXXZZZ]]]___aaaaaa```^^^^^^___[[[[[[\\\]]]___aaacccdddaaabbbcccfffhhhjjjlllmmmlllllllllmmmoooppprrrssstttuuuwwwyyyyyyyyyyyyxxxxxxtttnnniiiccc^^^XXXTTTLLLHHHBBB===999666333000333222000///---------,,,---------,,,,,,++++++++++++************++++++,,,******++++++++++++******)))***+++,,,,,,------,,,******++++++++++++***************+++,,,---//////+++******************+++******++++++,,,,,,------,,,,,,,,,---------......***,,,------,,,,,,...000------......//////000000---......//////......---000000000000000000000000111222333333444777;;;>>>CCCIIIQQQZZZbbbmmmxxxvvvwwwyyy|||~~~}}}yyyvvvuuutttsssqqqppppppppppppoooooopppqqqqqqqqqppppppllllllkkkjjjiiiiiiiiiiiihhheeeaaa^^^\\\ZZZXXXVVVQQQMMMGGGBBB>>>;;;888666222111000///---,,,+++***)))((((((((((((((())))))''''''((((((((((((((((((((((((((())))))(((((((((''''''''''''''''''''''''))))))((('''''''''''''''%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''''''''((((((''''''&&&%%%#########%%%(((((('''%%%)))((((((''''''(((((()))***)))((('''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&'''((((((&&&&&&''''''((((((''''''(((''''''&&&&&&''''''(((&&&&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&&&&'''''''''(((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((())))))******)))***+++++++++*********$$$$$$%%%%%%&&&((()))***''''''''''''''''''''''''&&&&&&&&&&&&&&&''''''(((((((((((((((((((((((((((%%%&&&(((((('''''')))+++---)))>>>aaacccCCC++++++(((((((((((()))***+++,,,+++...222666:::@@@FFFJJJTTTZZZaaadddeeegggkkknnnrrrpppmmmjjjfffcccaaa```bbbdddhhhnnnuuu}}}}}}xxxtttqqqnnnjjjhhhgggiiikkkkkkjjjjjjkkklllkkkhhheeeddddddcccbbbaaa___]]]ZZZWWWUUUTTTSSSTTTVVVWWWYYYWWWTTTRRRRRRSSSQQQRRRQQQPPPNNNNNNPPPRRRVVVVVVVVVUUUTTTTTTSSSSSSQQQRRRTTTTTTTTTVVV[[[^^^ccceeegggfffeeeeeehhhjjjjjjkkkkkkllllllmmmmmmmmmkkkkkkjjjkkklllmmmooopppooonnnnnnoooooopppqqqrrrrrrssstttttttttrrrpppoooiiieee___YYYUUUPPPIIIEEE???<<<777444222000///---000///---,,,++++++++++++++++++,,,,,,,,,,,,,,,,,,***************+++,,,,,,++++++,,,++++++***)))((())))))***,,,,,,------,,,***++++++,,,,,,++++++***++++++++++++,,,,,,---...+++++++++******+++++++++)))******+++,,,,,,------,,,,,,,,,---------......))),,,//////...---...000,,,------...//////000000......////////////......000000000000000000000///111222333333444777;;;>>>BBBHHHPPPYYYbbblllxxxoooqqqssswwwyyywwwssspppnnnmmmmmmlllkkkkkkllllllkkkkkkkkkkkkjjjiiihhhhhheeedddcccaaaaaaaaabbbcccbbb___ZZZVVVTTTRRRPPPNNNJJJFFF@@@<<<888555111///---------,,,+++)))((('''$$$%%%'''((())))))(((((((((((((((((((((((((((((('''((()))******)))((('''&&&'''''''''''''''''''''***)))((('''''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&((((((((((((((((((((((((''''''((((((''''''&&&%%%######%%%'''))))))'''%%%%%%%%%%%%$$$$$$%%%%%%%%%---,,,***(((&&&%%%$$$###(((((((((((((((((((((((((((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&'''((())) ###%%%'''((())))))'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&"""###%%%''')))+++,,,---&&&&&&&&&'''''''''(((((((((((((((''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))))))))((((((((((((%%%'''((()))(((''''''((((((((('''&&&&&&&&&&&&'''''''''''''''''''''''''''&&&%%%$$$$$$%%%&&&'''(((((((((((((((((((((((((((%%%&&&(((((('''((()))+++///$$$666\\\___<<<(((///((('''&&&%%%&&&)))+++---'''))),,,///111444888:::???GGGOOOUUUWWWZZZ```eeehhhiiiiiihhhfffccc```^^^___bbbgggnnntttzzz}}}yyywwwuuurrrnnnkkkhhhkkkmmmoooooooooqqqrrrrrrooollljjjjjjjjjiiihhhgggeeebbb___]]][[[ZZZZZZYYY[[[]]]\\\XXXWWWWWWYYYWWWWWWVVVUUUSSSSSSTTTVVVVVVVVVVVVVVVVVVVVVUUUUUUTTTVVVXXXXXXXXX[[[```eeehhhjjjkkkjjjiiijjjmmmqqqttttttuuutttsssrrrqqqpppsssrrrpppooooooppprrrsssppppppooooooooopppqqqqqqmmmmmmnnnmmmkkkhhheeeccc\\\WWWQQQLLLIIIDDD>>>999888555111///.........---///...---+++***++++++,,,))))))***,,,------------******))))))***+++,,,,,,,,,,,,,,,+++***)))((('''((()))***+++,,,---------+++,,,,,,------,,,,,,+++------,,,,,,++++++,,,,,,,,,,,,++++++++++++,,,,,,))))))***+++,,,,,,------,,,,,,,,,---------......,,,000333222///,,,,,,---++++++,,,,,,---....../////////000000000000//////000000000000////////////111222333333444777;;;>>>BBBHHHPPPXXXaaalllxxxeeeeeeggghhhiiijjjjjjjjjeeeeeeddddddcccdddddddddgggfffeeecccaaa___^^^]]]\\\[[[ZZZXXXVVVTTTSSSRRRRRRQQQOOOMMMJJJGGGEEEDDD:::999666222000...------)))((((((((()))***++++++))))))***+++++++++++++++'''''''''''''''''''''''''''''''''''''''&&&&&&%%%((((((((((((''''''''''''((('''%%%$$$$$$%%%'''(((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''$$$$$$$$$%%%%%%%%%&&&&&&))))))(((''''''''''''(((&&&&&&%%%$$$$$$$$$$$$$$$((('''%%%$$$$$$%%%'''(((&&&&&&''''''''''''&&&&&&$$$%%%'''''''''%%%###"""(((((('''&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%&&&(((((((((''''''''''''''''''&&&&&&(((((('''''''''&&&&&&&&&---+++'''$$$###$$$&&&'''%%%%%%&&&'''((()))******+++'''$$$$$$''')))'''%%%&&&&&&''''''(((((())))))'''''''''&&&&&&%%%%%%%%%######$$$%%%'''((())))))'''&&&&&&&&&&&&'''(((((()))))))))))))))))))))))),,,***111@@@CCC888---,,,)))'''%%%&&&)))***(((&&&(((((()))***,,,///111222999:::<<<@@@EEEKKKPPPTTTVVVYYY\\\]]]]]]]]]^^^___aaafffkkkmmmnnnqqqxxx}}}{{{wwwsssqqqqqqnnnjjjgggeeegggjjjkkklllnnnppprrrtttuuuuuutttrrrrrrssstttsssrrroookkkiiigggfffffffffffffffdddbbb___]]][[[aaa```^^^\\\[[[ZZZYYYYYY______^^^^^^]]]^^^^^^^^^^^^\\\[[[\\\```dddggghhhkkklllnnnooopppqqqtttwww|||~~~|||yyywwwuuusssqqqqqqpppooommmkkkkkkjjjhhhhhhiiiiiigggfffeeeccc```\\\XXXTTTQQQPPPFFFEEECCC>>>999555444444000///...---,,,---......))))))***++++++++++++***+++,,,,,,------,,,,,,++++++***))))))++++++***)))******))))))***+++,,,,,,+++++++++***)))(((((('''++++++++++++++++++,,,,,,------,,,+++************---,,,***))))))***,,,---,,,++++++******++++++,,,+++++++++,,,---...///000++++++,,,,,,---...//////---,,,,,,,,,,,,---..............................000000000000////////////222333444444555888<<>><<<;;;777555222000---,,,,,,,,,)))))))))((())))))******((())))))***************''''''''''''''''''''''''***************)))((((((((((((((((((''''''''''''((('''&&&%%%%%%&&&'''((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&''''''''')))(((''''''&&&&&&''''''+++***)))((((((((())))))''''''&&&%%%%%%&&&''''''&&&&&&''''''''''''&&&&&&&&&&&&'''''''''&&&$$$###'''&&&&&&&&&&&&((()))***((('''''''''&&&&&&&&&&&&'''''''''''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%''''''''''''''''''&&&&&&((('''''''''&&&&&&&&&&&&+++)))'''%%%%%%&&&((()))'''''''''((((((((((((((("""$$$&&&'''((((((((()))''''''''''''((((((((((((''''''&&&&&&&&&%%%%%%%%%(((((('''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&'''(((((((((((((((((((((((((((((()))%%%(((333555,,,%%%&&&)))'''&&&&&&))))))(((&&&************+++,,,---......///000333777<<>>DDDHHHOOOVVV^^^iiivvvGGGHHHIIIKKKLLLLLLLLLLLLLLLMMMNNNPPPRRRUUUWWWYYY[[[ZZZWWWTTTPPPMMMKKKIIIIIIHHHGGGEEEDDDBBBAAAAAA<<<;;;999777555333222111000///---+++******************)))((((((((())))))'''(((((()))))))))))))))''''''''''''''''''''''''(((((('''''''''&&&&&&&&&((((((((((((''''''''''''((('''&&&%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''(((((((((''''''&&&&&&&&&&&&&&&)))(((&&&$$$$$$%%%&&&'''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&%%%%%%&&&%%%%%%%%%&&&))),,,...''''''''''''&&&&&&&&&&&&'''((())))))((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&((((((''''''((()))******))))))((((((''''''''''''$$$)))***(((&&&&&&((((((((((((''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%***)))((('''%%%$$$###"""&&&&&&&&&&&&''''''((((((((((((((((((((((((((((((---'''&&&+++,,,&&&$$$'''((('''&&&'''(((((('''&&&++++++***)))))))))))))))*********,,,///222555777888;;;@@@CCCFFFHHHKKKNNNUUUYYY]]]___```ccchhhmmmooommmkkkkkkkkkjjjhhhffffffggghhhhhhggggggiiijjjoooqqqrrrssssssuuuxxxzzz{{{zzzyyyxxxwwwwwwwwwwwwtttttttttttttttsssrrrrrrooonnnmmmkkkjjjiiiiiiiiiiiihhhhhhhhhgggggggggfffgggffffffhhhjjjlllllllllnnnppprrrssstttuuuxxx{{{}}}}}}zzzuuuqqqmmmjjjhhhgggfffeeeaaa^^^ZZZWWWTTTQQQMMMKKKDDDCCCAAA>>><<<999888777,,,---...---,,,,,,...///---,,,++++++******++++++((()))******++++++*********************************)))((()))******)))(((***************+++++++++(((((())))))***++++++,,,,,,,,,,,,+++*********)))))))))((((((((()))******,,,,,,*********+++,,,---,,,++++++******++++++,,,,,,,,,+++++++++,,,,,,---------------------------///............///000000000000000000000000000000////////////000000000000111111222333333666:::===CCCGGGNNNVVV^^^iiivvv~~~;;;<<<===>>>??????????????????AAACCCEEEHHHKKKLLLNNNMMMJJJHHHEEEBBB@@@???===<<<<<<:::999888777777444444222111///...,,,,,,+++***((('''''''''((()))+++***)))(((((((((((((((&&&''''''((()))((((((((('''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%((((((((((((''''''''''''''''''&&&%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''&&&%%%%%%%%%%%%&&&&&&$$$""" !!!###$$$&&&''''''((((((''''''&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%$$$%%%%%%&&&'''&&&%%%%%%&&&))),,,...&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&(((((('''%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((('''&&&%%%%%%%%%'''%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((((((((((((((((((((((('''''''''$$$'''******'''$$$$$$$$$(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%&&&&&&'''''''''''''''((((((((((((((((((((((((...)))'''******'''(((,,,''''''&&&'''''''''''''''***))))))(((''''''''''''************+++---///000---000444777999<<>>???>>>===<<<:::999888777444444333333222111000000//////...---,,,+++***)))''''''&&&%%%%%%&&&'''(((******)))((('''''''''(((&&&&&&'''(((((((((((((((''''''''''''''''''''''''***)))((('''''''''((((((((((((((((((''''''''''''&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&((('''%%%$$$###$$$&&&&&&&&&&&&'''(((((('''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&)))(((&&&%%%&&&''')))***%%%%%%&&&&&&&&&&&&&&&&&&"""###%%%'''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&$$$$$$&&&)))%%%%%%%%%%%%&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&%%%$$$&&&&&&''''''((())))))***+++)))&&&&&&''''''&&&$$$((((((''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%&&&'''((()))%%%&&&''''''(((((('''''''''''''''''''''''''''''''''&&&&&&((('''&&&'''***&&&'''''''''&&&&&&&&&''''''''''''&&&&&&'''(((((((((''''''''''''((((((((()))+++...///111333666888===>>>AAABBBDDDGGGJJJLLLWWWYYY[[[^^^aaadddfffhhhhhhiiiiiihhhfffffffffggghhhjjjmmmoooqqqtttxxx{{{{{{zzzzzzyyywwwvvvuuutttooooooppprrrtttuuuwwwxxxvvvvvvtttsssrrrrrrrrrrrroooooooooooonnnmmmlllkkkffffffgggjjjmmmoooooonnnmmmnnnpppppppppqqqsssvvvwwwxxxzzzyyyvvvqqqkkkgggddd___XXXRRRNNNKKKIIIGGGEEECCC???===;;;999666444111111000//////...------+++++++++)))'''&&&'''(((,,,,,,,,,,,,,,,+++++++++(((((()))************)))***))))))(((((())))))***,,,+++******+++,,,+++*********+++++++++******)))++++++++++++************,,,,,,++++++***)))(((((()))))))))))))))***+++,,,*********++++++,,,,,,---,,,++++++******++++++,,,,,,,,,+++*********++++++------------------,,,,,,------,,,,,,------...///.........................../////////000000000111///000111111222555999<<<@@@FFFNNNUUU^^^hhhttt|||,,,,,,---...............000000000000000111222222444333333333222222222222.........------,,,,,,,,,*********))))))((((((''''''&&&%%%%%%%%%&&&'''((())))))((('''''''''((((((&&&''''''((((((((((((((('''''''''''''''''''''''')))((('''%%%%%%&&&''''''((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&(((''''''&&&&&&&&&&&&&&&((((((''''''&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%&&&(((((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&'''((())))))***&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&!!!###%%%$$$""""""%%%)))$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$###%%%%%%&&&'''((()))******+++'''$$$%%%)))+++***((('''''''''&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''((((((((('''&&&''''''''''''''''''''''''###%%%'''(((''''''((()))%%%'''((('''&&&%%%&&&'''&&&&&&&&&&&&&&&'''((()))(((((((((((((((''''''''')))***,,,,,,,,,---///111333333444666888;;;===>>>FFFIIIMMMQQQTTTWWW\\\___bbbcccdddcccbbbaaabbbdddccceeehhhjjjlllooosssvvvxxxxxxwwwwwwuuutttrrrqqqmmmnnnooopppsssuuuwwwyyywwwvvvuuutttsssssssssssspppqqqqqqqqqpppooommmllleeeddddddgggjjjllllllllliiijjjkkkjjjiiijjjkkkmmmmmmmmmmmmkkkfffaaa[[[XXXSSSNNNHHHCCC@@@===:::888888666444333333333111///------,,,,,,,,,+++++++++***+++,,,+++******,,,---)))************)))(((((('''((())))))******))))))+++***)))(((((()))***++++++***)))***+++,,,+++)))******+++,,,,,,***)))((('''((()))***+++---......+++++++++***)))))))))(((******)))))))))***++++++)))******+++,,,,,,,,,---,,,++++++******++++++,,,,,,,,,+++++++++,,,,,,---------------------------,,,,,,,,,,,,,,,---....................................//////000000111111000000111222222555999<<>>AAACCCFFFJJJMMMRRRSSSUUUUUUTTTUUUVVVXXXXXXZZZ]]]^^^```bbbfffhhhllllllmmmmmmmmmlllkkkjjjhhhhhhiiijjjmmmpppssstttsssrrrqqqppppppoooppppppmmmnnnnnnnnnmmmkkkiiigggbbb```______aaabbbcccccc`````````___]]]]]]^^^```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gggrrrzzz))))))*********************)))))))))))))))******,,,,,,+++++++++*********))))))((((((((((((((((((((((((((())))))))))))))))))((('''''''''((()))***'''''''''''''''((()))***'''(((((()))))))))))))))''''''''''''''''''''''''***)))'''%%%%%%&&&'''((()))(((((((((''''''''''''))))))************))))))(((((((((((((((((((((((($$$%%%%%%&&&'''((())))))''''''''''''''''''''''''&&&&&&&&&'''''''''(((((())))))(((''''''''''''(((&&&'''((())))))'''%%%$$$&&&%%%###""""""###%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%''')))++++++***)))(((###$$$&&&''''''&&&$$$###$$$$$$$$$%%%%%%&&&&&&&&&***((($$$""" !!!###$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&))),,,...+++'''%%%(((,,,######$$$%%%%%%&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%'''(((******((((((((((((((('''''''''(((,,,000///+++'''&&&'''%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''))))))((('''&&&''''''''''''''''''''''''%%%((()))%%%""""""%%%&&&$$$&&&((('''%%%$$$%%%((((((((('''&&&&&&&&&''''''%%%%%%&&&'''''''''''''''&&&'''''''''&&&'''))),,,***))))))***---000000000,,,000444666666888<<<@@@CCCEEEGGGGGGGGGHHHJJJLLLNNNPPPRRRSSSTTTVVVZZZ\\\^^^___aaabbbcccbbbbbbaaaaaaaaaaaaccceeeiiilllmmmnnnmmmlllkkkkkkkkkkkkkkkhhhhhhiiiiiihhhfffdddbbb___\\\YYYWWWXXXYYYYYYYYYVVVWWWWWWUUURRRQQQRRRTTTLLLKKKIIIFFFBBB>>>;;;:::444333111000000000...,,,---,,,++++++,,,---,,,***,,,,,,,,,,,,++++++++++++&&&'''((('''&&&&&&''')))***++++++,,,,,,***)))((('''(((((())))))))))))))),,,+++***((((((***+++,,,(((&&&%%%&&&'''((('''&&&)))***,,,---,,,***((('''++++++++++++++++++++++++)))))))))))))))************)))((('''''''''''''''((()))***+++,,,---------,,,++++++++++++++++++,,,+++++++++,,,---...///000++++++,,,,,,---...//////...............///000000000000000000000000000000---......///000111111222111222222333333666:::===>>>DDDMMMUUU]]]gggrrryyy)))'''&&&'''((()))((('''''''''''''''''''''''''''''''''(((((())))))******'''%%%$$$%%%(((***(((&&&(((''''''''''''((())))))''''''''''''(((((((((((((((((((((((())))))))))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&(((''''''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&'''''''''((((((###((()))((($$$"""'''''''''&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&,,,)))''''''***,,,,,,***%%%%%%&&&''''''&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$###%%%(((++++++***(((&&&%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&$$$$$$$$$$$$&&&&&&''''''&&&%%%$$$$$$######%%%%%%%%%&&&&&&'''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&'''((())))))***)))(((''''''((()))***))))))))))))((('''&&&%%%%%%''')))(((&&&%%%$$$$$$******))))))((((((((('''&&&&&&&&&''''''(((((((((******)))((('''&&&&&&%%%'''''''''''''''''''''''''''&&&%%%$$$$$$%%%&&&'''''''''''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''')))******++++++,,,---///222444555666777999888777777888:::@@@AAABBBDDDFFFHHHJJJKKKNNNOOOPPPRRRSSSTTTTTTTTTVVVWWWWWWYYY[[[^^^aaaccccccbbbbbbbbbaaaaaa``````___^^^]]][[[ZZZXXXWWWVVVSSSQQQNNNKKKHHHGGGFFFFFFFFFEEEDDDBBBAAA???>>>======<<<:::888666555444444000000...---,,,+++++++++++++++******)))((((((((((((((((((((((((((((((((())))))))))))))))))))))))************************(((((())))))))))))(((((((((((((((((())))))))))))+++******)))(((''''''&&&)))))))))))))))))))))))))))************+++++++++***((('''&&&&&&'''(((***))))))))))))))))))))))))))))))***+++++++++++++++))))))))))))))))))))))))---,,,,,,++++++,,,,,,---------,,,,,,,,,,,,++++++))))))***+++---...//////111000///---,,,,,,,,,,,,---------------...//////000111222222333555888;;;===DDDNNNXXX```hhhqqqxxx)))'''&&&'''((()))(((&&&((((((((((((((((((((((((&&&&&&&&&&&&''''''''''''(((&&&%%%&&&((()))(((&&&''''''&&&&&&''''''((()))''''''''''''(((((((((((('''((((((((())))))))))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&(((''''''''''''&&&&&&&&&***))))))(((((())))))***$$$$$$$$$%%%%%%%%%&&&&&&"""###%%%''''''&&&%%%$$$''''''&&&&&&&&&%%%%%%%%%'''&&&&&&&&&%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$###"""###&&&'''%%%###%%%%%%&&&''''''&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''''''''&&&&&&%%%$$$$$$###%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&&&&'''((((((((()))((('''&&&&&&'''(((((())))))))))))((('''&&&%%%$$$&&&''''''&&&$$$$$$%%%(((((((((''''''&&&&&&&&&######$$$$$$$$$$$$$$$%%%)))((((((''''''&&&&&&%%%''''''''''''''''''''''''&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''((()))***(((((((((((()))***+++,,,...///111000//////000222333444555777999:::;;;<<<======???@@@AAABBBBBBBBBIIIIIIIIIKKKMMMOOORRRSSSTTTSSSSSSSSSRRRRRRRRRQQQOOOOOONNNLLLKKKIIIHHHHHHFFFEEECCCAAA???===<<<<<<<<<;;;:::999777666555444444333111000...---------,,,+++***)))(((((((((((()))))))))))))))*********))))))))))))))))))))))))))))))))))))))))))))))))************************(((((())))))))))))(((((('''''''''((((((((()))))),,,,,,+++******)))(((((())))))))))))))))))))))))))))))*********+++++++++***)))'''&&&&&&''')))***************************((()))******++++++******))))))******************---,,,,,,++++++,,,,,,---------,,,,,,,,,,,,++++++******++++++,,,---......000//////......------,,,......------......///000000111222222333444888:::===DDDNNNXXX```hhhqqqxxx((('''&&&'''(((((('''&&&(((((((((((((((((((((((('''''''''&&&&&&&&&&&&&&&((('''&&&&&&'''((('''%%%&&&&&&&&&&&&&&&''''''(((&&&''''''''''''(((((((((''''''((((((((()))))))))''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&(((''''''''''''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$%%%%%%%%%&&&&&&***)))'''&&&%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$&&&''''''&&&$$$%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$)))(((&&&$$$###$$$$$$%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&'''((())))))))))))((('''&&&%%%"""$$$&&&&&&%%%$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''(((((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''((())))))******)))(((((((((((((((***,,,------,,,+++---...------...///000111111222000111222333444555555555999999:::;;;<<<>>>???@@@AAAAAAAAAAAA@@@@@@@@@@@@>>>======;;;:::999888888888777777666555333222111111111000///...---,,,++++++***)))(((''''''''''''((((((''''''''''''(((((('''(((((()))******++++++************************))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))))))))(((((('''''''''((((((((())))))+++******))))))((((((((()))))))))))))))))))))))))))))))))*********++++++))))))''''''''''''))))))***************************+++,,,,,,------,,,,,,)))*********++++++,,,,,,---,,,,,,++++++,,,,,,---------,,,,,,,,,,,,+++++++++++++++,,,,,,---------......///000000///...---//////......//////000111///111222222222444777:::>>>DDDNNNWWW___gggqqqwww((('''&&&&&&(((((('''&&&(((((((((((((((((((((((()))))))))(((((('''''''''(((((('''''''''&&&&&&%%%&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&'''''''''(((((('''''''''((((((((())))))''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&(((''''''''''''&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&'''''''''((((((+++***(((&&&%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))((('''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$((('''&&&%%%$$$$$$%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''&&&&&&&&&''''''''''''''''''(((((((((((()))(((((('''&&&&&&!!!###%%%%%%$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%))))))((((((''''''&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((()))***))))))(((''''''''''''(((***++++++))))))***,,,++++++,,,,,,,,,,,,------++++++---....../////////000000000111111222333333555555555555555444444444444333333222111000000///000000111111000///---,,,------,,,++++++***))))))((((((''''''''''''(((((()))((((((((())))))***+++(((((())))))************))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))((((((((((((((()))))))))******((('''''''''&&&&&&&&&%%%))))))))))))))))))))))))))))))))))))************))))))(((''''''((())))))))))))))))))))))))))))))((()))******++++++***************+++,,,,,,---------,,,,,,++++++,,,,,,---------,,,,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,---///111111000///...///////////////000111111///000111222222444777:::>>>DDDMMMUUU]]]fffpppvvv(((&&&%%%&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))((((((''''''&&&&&&((((((((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&''''''''''''''''''''''''((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&(((''''''''''''&&&&&&&&&((((((''''''''''''((((((&&&&&&&&&'''''''''((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&###!!! """%%%(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%&&&'''(((''''''&&&###$$$%%%%%%&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$'''''''''''''''&&&&&&&&&''''''(((((())))))))))))(((((((((((((((((('''&&&"""###$$$$$$######%%%'''&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%$$$###############$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((******((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''(((%%%%%%$$$$$$$$$%%%&&&&&&$$$&&&''''''&&&&&&'''((((((((((((''''''''''''''''''((()))***************++++++,,,,,,,,,,,,,,,,,,........................//////......---------,,,,,,---...///...---,,,+++,,,+++++++++******)))))))))(((((((((((()))***+++)))))))))))))))***+++,,,************))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''(((((())))))))))))(((((())))))*********+++++++++''''''''''''&&&&&&&&&&&&(((((((((((((((((((((((((((((()))))))))*********))))))(((((((((((())))))((((((((((((((((((((((((###$$$%%%%%%&&&&&&%%%%%%******+++++++++,,,,,,,,,---,,,,,,++++++,,,,,,---------,,,,,,,,,+++++++++------,,,,,,,,,,,,+++++++++,,,///000111000///...///////////////000111111///000111111222444777999===CCCKKKSSS[[[dddnnnuuu}}}'''&&&%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&'''((((((&&&%%%&&&'''&&&&&&&&&&&&&&&''''''(((%%%&&&&&&&&&&&&'''''''''&&&&&&'''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&(((''''''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%&&&'''''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$!!!!!!$$$((('''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$###$$$&&&(((((((((''''''######$$$%%%&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&''''''''''''''''''&&&'''((()))*********)))'''(((((((((((((((''''''$$$%%%%%%$$$######%%%'''''''''''''''((((((((((((&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&(((***,,,,,,***(((&&&''''''''''''''''''''''''%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''((()))&&&'''((((((''''''(((***'''''''''''''''''''''''''''((())))))*********)))'''((())))))***))))))))))))))))))))))))*********+++++++++++++++************++++++++++++***)))))))))))))))))))))))))))(((((((((((((((((()))******((((((((((((((()))******++++++******)))(((((('''''''''''''''''''''''''''))))))))))))))))))))))))(((((((((((((((((((((((((((((())))))))))))(((((()))))))))*********++++++))))))))))))))))))))))))((((((((((((((((((((((((((((((((()))))))))******))))))))))))))))))))))))((((((((((((((((((((((((''''''((())))))))))))(((++++++++++++++++++++++++---,,,,,,++++++,,,,,,---------,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---/////////......//////......//////000111...000111111111333666999<<>>DDDJJJQQQZZZeeemmmzzz''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''''''''%%%&&&&&&&&&&&&''''''''')))((('''%%%%%%&&&'''''''''&&&$$$%%%'''(((''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$&&&&&&&&&&&&%%%$$$###"""###$$$%%%&&&&&&%%%$$$###"""###%%%''')))(((%%%"""&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%######$$$%%%&&&&&&&&&&&&$$$%%%%%%$$$""""""###%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&&&&%%%%%%&&&(((%%%&&&&&&'''''''''&&&&&&''''''''''''''''''''''''&&&%%%$$$$$$&&&'''&&&&&&%%%%%%%%%%%%&&&'''(((((('''%%%$$$######$$$'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%#########$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&&&&((()))%%%%%%&&&&&&''''''&&&&&&$$$$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&"""&&&((('''&&&%%%$$$))))))((('''&&&%%%%%%$$$''''''''''''''''''''''''###%%%''''''&&&&&&'''(((''''''''''''''''''''''''((((((((((((((((((((((((((((((''''''&&&'''''''''&&&'''((()))*********)))&&&''''''''''''((((((((('''''''''((((((((((((((()))))))))))))))((((((((('''&&&&&&&&&&&&'''(((((((((''''''''''''((())))))(((''''''&&&&&&''''''(((%%%&&&&&&&&&((()))***+++)))((((((((())))))'''&&&&&&'''((()))***)))(((((())))))(((((((((((()))))))))))))))))))))******+++***************+++++++++"""'''---000111...,,,+++***+++,,,---------,,,+++***++++++,,,---------------.........////////////---------,,,++++++...000000111111111111222555777999===CCCIIIOOOYYYdddlllyyy'''''''''&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((''''''&&&&&&&&&%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&***((('''%%%%%%%%%'''(((&&&%%%%%%&&&'''((('''%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&((('''%%%$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&&&&%%%$$$%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%&&&''''''&&&%%%$$$#########%%%''''''%%%"""###$$$$$$%%%%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&"""###$$$%%%&&&&&&&&&&&&$$$%%%&&&$$$"""!!!###%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&&&&%%%%%%&&&(((&&&&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''%%%$$$######%%%&&&&&&%%%&&&&&&%%%%%%%%%&&&&&&'''$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''((()))'''%%%$$$&&&((($$$%%%&&&&&&''''''&&&&&&$$$%%%&&&'''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&& ###%%%&&&%%%%%%%%%&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%(((***+++)))'''&&&%%%''''''''''''''''''''''''((((((((((((((((((((((((''''''&&&&&&&&&'''((((((%%%&&&((()))*********)))&&&&&&&&&'''''''''((((((''''''''''''((((((((()))))))))(((((((((''''''''''''&&&&&&&&&&&&'''((((((((((((((((((((()))******(((''''''&&&&&&''''''((('''''''''''''''((()))******)))))))))******(((&&&&&&''')))++++++***)))((())))))(((((((((((()))))))))))))))))))))***++++++))))))*********+++++++++$$$'''+++,,,,,,++++++++++++++++++,,,,,,---------,,,,,,,,,++++++,,,------,,,,,,---...///000000111,,,,,,+++(((&&&'''+++...000111111111111222555777888<<>>BBBHHHQQQ\\\dddqqq{{{%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%&&&((()))***$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&''''''''''''(((***%%%&&&'''''''''%%%$$$"""$$$%%%%%%&&&&&&'''''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''%%%%%%$$$$$$%%%%%%&&&'''############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%$$$###$$$%%%&&&'''$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&((('''&&&%%%$$$#########%%%%%%$$$$$$%%%'''((()))+++***((()))******)))(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''''''''&&&%%%$$$&&&&&&&&&'''''''''((((((%%%%%%&&&''''''(((((((((((('''&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''$$$%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$&&&((())))))(((*********(((&&&%%%&&&'''$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&''')))'''&&&&&&'''(((((('''&&&&&&&&&'''''''''((((((((((((((((((((((((((((((''''''(((((())))))******'''&&&%%%%%%%%%&&&((()))))))))))))))))))))))))))((((((((()))******++++++))))))***++++++++++++***,,,,,,,,,,,,------------,,,,,,------...---------------------------...///......///000000111111222555888===AAAGGGPPP[[[cccpppyyy$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######&&&(((%%%%%%&&&&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''&&&%%%######$$$%%%&&&$$$$$$######$$$%%%%%%&&&&&&&&&%%%%%%&&&&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''!!!!!!!!!$$$'''*********%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&###$$$%%%%%%%%%%%%$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&'''''''''&&&$$$%%%&&&'''((((((((((((((('''&&&&&&%%%%%%&&&&&&''''''''''''''''''''''''###$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%''')))+++******'''((()))(((&&&%%%&&&'''%%%%%%&&&''''''''''''&&&%%%%%%&&&&&&&&&'''''''''(((''''''''''''''''''(((''''''''''''''''''''''''***)))))))))))))))******)))'''%%%&&&'''(((''''''''''''''''''(((((((((((((((((((((((((((((((((((('''''''''((()))*********)))((('''&&&&&&((()))+++))))))))))))))))))))))))((((((((()))******++++++))))))***+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,---............111000000////////////000//////000000111222222333444777<<<@@@FFFNNNYYYaaannnwww###$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%)))((('''&&&%%%$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$"""!!!$$$'''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$#########$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&((('''%%%#########%%%&&&$$$#########$$$%%%%%%&&&$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%$$$$$$###''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$%%%&&&&&&######$$$%%%%%%%%%$$$$$$((('''&&&'''((()))((('''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''###$$$%%%&&&&&&%%%$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%&&&###$$$%%%&&&&&&&&&%%%%%%$$$%%%&&&'''((((((((((((''''''&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''###$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&'''***+++++++++%%%&&&((((((&&&%%%%%%%%%%%%&&&''''''((((((''''''&&&&&&&&&''''''(((((((((((((((''''''''''''((((((((((((((((((((((((((((((''''''&&&&&&&&&''''''(((((('''%%%%%%'''((('''&&&(((((((((((())))))))))))((((((((((((((((((((((((&&&''''''((()))******++++++***((('''((()))+++,,,))))))))))))))))))))))))((((((((()))******++++++((()))***+++++++++++++++***)))))))))))))))))))))***+++,,,---......///...+++++++++,,,,,,...//////000000000111222222333333444777<<<@@@EEENNNYYYaaallluuu$$$$$$%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%$$$$$$###''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((((('''$$$&&&''''''%%%$$$$$$%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$(((&&&%%%%%%&&&'''&&&%%%&&&&&&&&&%%%%%%$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&'''''''''((((((***)))'''&&&%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''"""$$$%%%%%%######$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&((('''%%%$$$###$$$%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''((((((%%%!!!!!!###&&&(((&&&(((###%%%*** &&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''######$$$$$$%%%&&&''''''***(((&&&$$$$$$&&&((()))&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''%%%$$$%%%'''((('''&&&&&&'''((()))***&&&&&&''''''''''''&&&&&&&&&&&&&&&''''''''''''((((((((('''(((((('''%%%"""###$$$&&&((())))))((((((---------+++(((&&&&&&&&&(((%%%###$$$'''((('''%%%%%%'''&&&%%%'''***((($$$''''''((((((((((((''''''---+++)))'''&&&&&&((((((+++++++++++++++***)))((((((((())))))))))))((((((((((((((((((((((((((((((+++++++++***************...---+++***)))***++++++******+++++++++,,,,,,,,,,,,+++***+++---...---,,,,,,,,,------.../////////---......///111222333444666888<<>>BBBKKK---"""+++)))#########%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%&&&&&&&&&'''''''''%%%&&&&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&'''&&&%%%%%%&&&(((%%%%%%%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&'''''''''###!!! ###&&&''''''&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''&&&$$$###$$$%%%&&&%%%$$$$$$%%%&&&((()))---222222+++$$$$$$&&&(((''''''((((((((((((''''''***)))(((''''''''''''(((&&&&&&'''''''''&&&&&&%%%(((((())))))))))))(((((())))))))))))))))))))))))'''(((((()))***++++++,,,+++,,,---......---,,,+++******+++++++++,,,,,,,,,,,,+++***+++---...---,,,,,,,,,------.../////////222000---+++,,,...111333444666999<<>>MMMZZZaaa^^^666!!!'''((($$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&&&&&&&&&&)))'''%%%###""""""###$$$'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&%%%%%%'''(((&&&&&&'''''''''&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&$$$""""""$$$&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%)))***)))(((%%%######$$$((('''&&&%%%&&&'''***,,,666:::888...&&&%%%'''(((''''''((((((((((((''''''((((((((('''''''''''''''&&&''''''(((((('''''''''(((((())))))))))))((((((************************''''''((()))******++++++***+++---......---,,,+++******+++++++++,,,,,,,,,,,,+++***+++---...---,,,,,,,,,------.../////////111///---,,,---000444666555777:::===@@@GGGPPPWWWeeeppp$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%$$$######%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$###$$$&&&%%%###""""""############$$$$$$$$$%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$#########$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%&&&%%%###"""###%%%&&&&&&&&&#########$$$$$$$$$$$$$$$$$$###"""!!!!!!"""###$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''"""$$$%%%%%%$$$$$$%%%'''$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&...:::IIIUUU\\\[[[555!!!%%%&&&$$$&&&$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%)))'''$$$"""!!!!!!###$$$'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###%%%&&&&&&&&&&&&'''(((&&&''''''''''''&&&&&&%%%((())))))))))))))))))(((%%%%%%%%%%%%&&&&&&&&&&&&***(((&&&&&&'''(((((('''&&&%%%%%%%%%%%%%%%&&&&&&'''((()))(((&&&%%%&&&'''(((((((((&&&&&&(((,,,///<<<>>>999000)))(((******''''''((((((((((((''''''''''''''''''''''''''''''&&&'''(((((()))((((((((((((((())))))))))))((((((************************'''(((((())))))*********(((((()))************)))******+++++++++,,,,,,,,,,,,+++***+++---...---,,,,,,,,,------...///////////////------///222555777555777:::<<<@@@FFFPPPWWWdddooo$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%%%%$$$###$$$%%%%%%###""""""###$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&###$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$###"""###$$$&&&'''&&&%%%###""""""###%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""######$$$%%%%%%&&&&&&###"""!!!"""$$$&&&&&&%%%"""#########$$$$$$$$$$$$%%%$$$"""!!!!!!"""$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&&&&&&&''''''''')))((('''&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&'''&&&$$$$$$$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((&&&$$$'''---444999:::AAA+++###'''$$$###&&&$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$%%%&&&'''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###%%%&&&&&&&&&&&&''')))%%%&&&&&&'''&&&%%%$$$###'''(((((())))))(((((('''$$$$$$%%%%%%%%%&&&&&&&&&((('''''''''))))))'''&&&%%%$$$$$$$$$$$$%%%'''(((%%%&&&((('''&&&&&&'''((('''((('''&&&%%%''',,,000:::999333+++''')))+++)))''''''((((((((((((''''''&&&'''''''''''''''''''''&&&&&&'''((((((((((((((((((((())))))))))))((((((((((((((((((((((((((((((((((((((()))))))))))))))((((((''''''(((((()))*********+++++++++,,,,,,,,,,,,+++***+++---...---,,,,,,,,,------...////////////.........///000222333444666999;;;>>>EEENNNUUUcccooo$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&'''((((((###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!"""###$$$$$$$$$$$$$$$"""$$$%%%%%%###""""""###%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$######$$$%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$###""""""$$$&&&''''''%%%###!!!!!!###%%%'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$%%%%%%&&&&&&"""!!! !!!###%%%%%%$$$""""""######$$$$$$$$$$$$&&&%%%###""""""###%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&'''''''''((((((***)))'''&&&%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&'''%%%###!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&"""###%%%&&&'''&&&%%%%%%######$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$###$$$(((+++***)))''' $$$***$$$"""&&&$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''$$$########################$$$&&&((())))))))))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&&&&&&&&&&''')))$$$%%%%%%&&&%%%$$$###"""$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&######$$$&&&''''''&&&$$$$$$$$$######$$$&&&''')))&&&'''((('''%%%$$$%%%&&&&&&''''''%%%$$$&&&+++000444222+++$$$###''')))&&&''''''((((((((((((''''''&&&&&&''''''(((''''''&&&%%%&&&&&&'''((((((((('''(((((())))))))))))((((((''''''''''''''''''''''''))))))))))))((((((((((((***)))((((((((()))+++,,,******+++++++++,,,,,,,,,,,,+++***+++---...---,,,,,,,,,------...//////000//////........./////////333555888:::===CCCMMMTTTcccnnn~~~%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&&&&&&&&&&'''((('''''''''&&&&&&%%%%%%%%%'''&&&$$$######$$$&&&'''&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''''''''''''''%%%$$$###""""""###$$$%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######"""""""""""""""######%%%&&&%%%###!!!###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$###&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%$$$%%%&&&((()))'''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&%%%$$$"""!!!%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$###"""!!! $$$$$$%%%%%%%%%%%%&&&&&&!!!"""$$$%%%%%%$$$"""!!!%%%%%%%%%&&&&&&&&&''''''###$$$%%%''')))***+++,,,(((((((((''''''&&&&&&%%%""""""######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######""""""%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!!!!!!!!!!!!!!!!!!!&&&&&&&&&%%%%%%$$$$$$$$$''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&"""###$$$$$$%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&'''''''''&&&%%%%%%%%%%%%&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%&&&'''(((***(((''''''(((((('''%%%***'''%%%%%%(((***)))((($$$&&&)))++++++)))&&&$$$(((((((((((((((((((((((("""$$$&&&''')))))))))(((''')))+++,,,***)))))))))))))))))))))************************))))))))))))+++***)))(((((()))***+++......---,,,+++***)))(((******+++++++++,,,,,,,,,000///.........///111222000444999<<>>DDDLLLSSScccnnn}}}%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%"""$$$%%%%%%%%%%%%&&&(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$###&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$$$$%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&"""###$$$%%%%%%$$$###"""$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%&&&''''''((((((%%%%%%%%%&&&&&&&&&&&&'''############$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$#################################$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%$$$&&&&&&'''(((((((((((((((%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&''''''''''''&&&&&&'''&&&&&&%%%%%%%%%%%%&&&)))(((&&&'''(((((('''&&&'''''''''((())))))'''%%%&&&'''(((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''(((((((((((((((&&&(((******((('''(((((())))))))))))************''''''((()))***+++,,,,,,++++++************++++++******++++++,,,,,,------,,,,,,,,,---------......,,,------...............000333666999<<>>EEEJJJWWW```ooo%%%$$$$$$######$$$$$$%%%&&&%%%%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&& !!!"""$$$$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$'''&&&%%%$$$############"""###$$$$$$######$$$%%%###$$$$$$%%%%%%%%%%%%%%%)))(((%%%$$$###$$$%%%&&&&&&&&&%%%$$$###"""!!!!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%$$$###%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%$$$%%%&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$#########$$$$$$%%%%%%&&&%%%%%%&&&'''''''''''''''((('''&&&&&&%%%%%%%%%&&&%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%###$$$&&&((('''$$$!!!############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$######$$$&&&&&&%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$###"""$$$&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###""""""$$$%%%%%%$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''')))***((('''''''''''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%&&&'''(((&&&&&&%%%%%%&&&&&&'''(((%%%%%%%%%%%%&&&'''))))))'''''''''''''''''''''''')))))))))((())),,,111555222,,,((())))))'''''')))((((((''''''((()))***+++'''((()))*********))))))((())))))******))))))(((*********++++++,,,,,,---***+++---...//////...---////////////000000000111222333444666999???FFFKKKVVV___nnn$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!""""""$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%$$$%%%%%%###%%%&&&&&&%%%%%%'''(((######$$$%%%%%%%%%%%%$$$***(((&&&$$$###$$$&&&'''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%$$$######%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%%%%%%%&&&'''''''''&&&&&&'''&&&%%%$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%% !!!###%%%&&&&&&&&&%%%#########$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&#########$$$''''''&&&%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""######$$$$$$###%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%$$$$$$%%%'''(((%%%&&&'''''''''''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$***)))((('''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''(((&&&&&&&&&''''''(((((((((''''''''''''''''''''''''%%%%%%%%%'''***111999???555///***)))(((&&&%%%((('''''''''((())))))******...,,,)))'''''')))+++---)))))))))******)))))))))))))))***+++,,,,,,------+++,,,---............---....../////////000000000222333555777:::@@@GGGLLLUUU^^^mmm~~~$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''&&&######$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$%%%''''''&&&&&&''')))"""###$$$$$$%%%%%%$$$$$$((('''&&&$$$$$$%%%&&&'''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$###%%%$$$$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%$$$$$$######$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$$$$%%%%%%$$$%%%%%%&&&'''&&&&&&&&&%%%$$$#########$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%""""""""""""###%%%((()))###$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&#########%%%'''((('''&&&###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$############%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%"""######$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$+++)))&&&$$$######$$$%%%"""###$$$&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$***)))((('''''''''''''''%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&'''''''''(((((('''))))))))))))((((((''''''''''''''''''''''''''''''$$$%%%%%%&&&***111:::@@@555///***)))(((&&&%%%(((''''''((()))))))))))))))&&&''''''((()))***++++++))))))************))))))))))))***+++,,,,,,------,,,,,,,,,---------------------........./////////111222333555888>>>EEEJJJTTT]]]lll}}}###$$$$$$%%%%%%$$$$$$###%%%'''(((&&&###"""%%%'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&"""""""""!!!""""""#########$$$%%%%%%$$$$$$%%%&&&"""######$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%&&&!!!!!!"""###$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$#########$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&$$$$$$#########$$$%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%(((&&&###!!!!!!###%%%'''$$$$$$$$$$$$%%%%%%%%%%%%###$$$%%%&&&''''''&&&&&&$$$######%%%'''((('''&&&###$$$%%%%%%&&&&&&%%%%%%###%%%&&&%%%$$$###$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&%%%$$$"""######%%%$$$$$$######$$$$$$%%%########################$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$###$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$***)))'''%%%##################$$$$$$%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$&&&&&&'''(((((((((((('''************)))((('''&&&'''''''''''''''''''''''''''((((((((()))---222666222,,,((())))))'''''')))(((((())))))))))))((((((%%%,,,///---)))&&&)))******++++++******)))*********++++++,,,,,,---,,,,,,,,,,,,,,,,,,------------------............///000111222555:::AAAFFFSSS\\\kkk|||###$$$%%%%%%%%%%%%$$$###%%%''')))'''###"""%%%((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$######""""""""""""$$$%%%&&&&&&$$$###$$$%%%""""""###$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$$$$######$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%&&&&&&&&&&&&$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%'''&&&$$$######$$$&&&'''%%%%%%$$$$$$$$$%%%&&&'''###$$$%%%&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%&&&'''"""###%%%&&&&&&%%%###""""""######$$$%%%%%%&&&&&&########################$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%'''&&&$$$###"""###$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&###$$$%%%''''''''''''&&&%%%$$$$$$%%%'''((('''%%%###$$$%%%%%%&&&&&&%%%%%%"""$$$&&&%%%###"""###%%%###########################%%%''''''$$$######$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&###$$$%%%&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$((('''&&&%%%$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%$$$''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&%%%&&&'''((()))((((((''''''((()))))))))((('''&&&''''''''''''''''''''''''&&&((())))))((()))+++---,,,(((&&&)))***((((((***))))))******)))((('''&&&%%%+++...---***((()))******++++++******)))++++++++++++++++++++++++---,,,,,,,,,,,,,,,,,,,,,............////////////111111222333555:::@@@DDDRRR\\\kkk{{{###$$$%%%&&&&&&%%%$$$###%%%((()))'''###"""%%%)))$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&***)))(((&&&%%%$$$######'''((()))(((&&&%%%%%%'''""""""###$$$$$$$$$$$$###"""###%%%&&&&&&%%%###"""''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&'''''''''$$$#########$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%'''&&&$$$######$$$&&&'''%%%%%%$$$###$$$%%%'''((("""###$$$%%%&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&"""######$$$&&&''''''((($$$$$$$$$%%%&&&'''))))))"""###%%%&&&&&&%%%###"""""""""###$$$%%%%%%&&&&&&########################$$$$$$$$$$$$$$$$$$$$$$$$"""""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%&&&'''((('''&&&$$$############$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%"""######$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&"""$$$%%%'''((((((''''''&&&%%%%%%&&&'''(((&&&%%%$$$$$$%%%&&&&&&&&&%%%%%%"""$$$&&&$$$"""!!!"""%%%###########################&&&)))(((%%%######$$$%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&''''''"""###%%%&&&'''&&&%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$&&&&&&&&&&&&&&&---+++(((%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''((()))((('''%%%$$$''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&&&&'''(((''''''((((((((((((''''''%%%&&&((()))))))))((('''$$$%%%&&&(((((((((((('''''''''''''''''''''''''''###%%%''')))(((((()))***(((%%%%%%)))+++***)))+++******+++***)))(((&&&%%%***)))((('''(((***,,,---******++++++++++++******,,,,,,++++++++++++++++++------,,,++++++,,,,,,,,,////////////000000000000555555666666888<<>>...###$$$###'''%%%%%%$$$###""""""""""""#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%$$$$$$#########%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$'''&&&&&&%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$###"""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$########################$$$%%%&&&&&&''''''&&&&&&&&&''''''((('''%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$$$$%%%%%%&&&'''"""############$$$$$$$$$########################%%%%%%$$$$$$$$$$$$$$$$$$######$$$%%%$$$###"""!!!$$$%%%%%%$$$######$$$&&&$$$$$$%%%&&&&&&&&&%%%%%%%%%"""!!!$$$$$$"""$$$)))%%%$$$$$$$$$$$$$$$$$$###!!!"""$$$%%%%%%$$$"""!!!&&&%%%$$$######$$$%%%&&&######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%(((&&&$$$""""""$$$&&&(((%%%%%%%%%$$$$$$###############$$$$$$%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%###"""$$$'''***&&&&&&''''''''''''&&&&&&%%%&&&''''''((((((''''''%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&'''((()))%%%'''******)))'''''''''))))))(((((('''''''''&&&&&&&&&&&&'''''''''(((((('''''''''''''''((()))***''''''&&&&&&&&&''''''(((************)))((('''&&&"""###&&&)))***+++***)))((((((((((((((((((((((((------,,,+++*********+++...---,,,+++***+++,,,---............////////////222000111555777999>>>EEEOOOZZZiiiyyy$$$$$$#########$$$%%%%%%#########$$$%%%%%%%%%&&&######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$%%%(((***===111&&&%%%%%%######%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$#########$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$"""######$$$$$$%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%'''((())))))$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&$$$%%%%%%&&&%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%$$$######""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$%%%%%%&&&'''"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%$$$###"""!!!$$$!!! """###""" !!!"""###$$$%%%%%%&&&&&&'''###!!!$$$&&&%%%%%%'''&&&'''((('''&&&&&&'''((("""###$$$&&&&&&$$$###"""%%%$$$$$$$$$$$$$$$$$$%%%######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$######$$$&&&'''&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&'''(((((()))%%%%%%%%%%%%%%%%%%%%%%%%########################%%%&&&&&&%%%$$$$$$&&&(((&&&&&&''''''''''''&&&&&&%%%&&&&&&'''''''''''''''%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&$$$''')))***((('''&&&&&&)))((((((((('''''''''&&&&&&&&&&&&'''''''''(((((((((''''''''''''(((((()))((((((((((((((((((((('''''''''((((((((('''&&&&&&%%%&&&(((******)))((('''************************''''''(((***,,,...///000---,,,+++++++++,,,------............////////////222000111555777888>>>EEEOOOYYYiiiyyy$$$$$$######""""""######""""""###$$$%%%&&&''''''######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$%%%''')))555333,,,%%%$$$'''%%%!!!%%%$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%%%%%%%%%%$$$$$$########################$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$#########"""$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$"""""""""###$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$""""""###$$$%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$"""###$$$&&&((()))***+++$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%&&&'''((('''&&&%%%$$$%%%$$$$$$######$$$$$$%%%$$$######""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############"""$$$$$$%%%%%%%%%%%%&&&&&&"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&$$$$$$$$$%%%$$$######"""%%% ###%%%""" !!!###$$$%%%&&&&&&((($$$"""%%%'''''')))---666444...((($$$###$$$&&&###$$$%%%&&&&&&%%%$$$###$$$$$$$$$%%%%%%$$$$$$$$$######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''%%%$$$%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%&&&'''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$$$$&&&(((((('''&&&&&&&&&((((((((('''''''''''''''&&&&&&&&&'''''''''''''''((((((((((((''''''''''''))))))*********((('''&&&&&&&&&((()))************)))******+++***)))'''&&&************************++++++++++++++++++++++++++++++++++++,,,---..................////////////111000111555777888>>>EEENNNYYYhhhxxx&&&%%%$$$######"""#########$$$$$$%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$&&&(((***444444'''!!!%%%&&& $$$$$$$$$$$$%%%&&&''''''%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$'''&&&&&&&&&%%%%%%$$$############$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$######"""$$$%%%%%%&&&&&&%%%%%%$$$ !!!"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$%%%&&&&&&''''''&&&&&&%%%&&&'''(((''''''&&&%%%%%%$$$############$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%%%%%%%%%%%%%%%%%%%""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######'''### !!!%%%&&&$$$"""!!!!!!###$$$%%%%%%%%%%%%%%%$$$$$$%%%&&&(((111;;;]]]OOO<<<,,,$$$"""""""""$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%&&&&&&%%%$$$#########$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###%%%''''''&&&###""""""%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&'''''''''&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&((())))))(((&&&$$$$$$&&&''''''&&&%%%%%%&&&'''''''''''''''''''''''''''''''''''''''''''''''')))))))))(((((('''&&&&&&((()))***+++***(((%%%$$$"""###%%%''')))***++++++******++++++***)))((('''************************---------,,,+++***)))((()))******+++,,,---//////............////////////111///111444666888===DDDNNNXXXgggvvv'''&&&%%%$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$%%%'''"""666===...!!!###'''%%%$$$$$$$$$$$$%%%&&&''''''%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&%%%$$$############$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$ !!!"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$######"""!!!!!! $$$$$$$$$$$$$$$$$$$$$$$$########################$$$%%%&&&&&&''''''&&&&&&###$$$%%%%%%%%%$$$###"""%%%$$$$$$$$$$$$$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&&&&%%%$$$$$$""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&$$$%%%%%%%%%%%%%%%$$$$$$!!!###&&&&&&###(((888JJJ|||dddDDD...''''''&&&###%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&%%%$$$#########$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&''''''&&&$$$###&&&&&&&&&&&&&&&&&&&&&&&&#########$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!$$$&&&'''%%%"""!!!!!!%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&'''&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%'''))))))(((&&&%%%$$$&&&''''''%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&(((((())))))((('''&&&%%%'''((()))***)))'''$$$### """$$$&&&'''((((((((())))))***************))))))))))))))))))))))))&&&''')))+++---.........((()))***,,,---...//////............////////////111///000444666888===DDDMMMWWWfffuuu&&&&&&%%%%%%$$$%%%%%%%%%(((((('''&&&%%%$$$############$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&###%%%&&&%%%$$$###$$$&&&!!!666@@@333$$$###(((***%%%$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$!!!"""###$$$$$$###"""!!!$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&'''((((((((($$$%%%%%%&&&&&&%%%%%%$$$""""""###$$$%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&'''((((((((((((&&&$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$######""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&$$$%%%&&&'''&&&%%%$$$###"""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$%%%###$$$%%%$$$""""""$$$&&&&&&&&&&&&&&&%%%$$$###### ###&&&&&&"""&&&777IIIoooWWW:::'''$$$&&&&&&$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!###&&&&&&%%%###""""""%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%"""$$$%%%'''((((((((((((%%%'''((('''&&&%%%&&&(((&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&'''((()))))))))((('''&&&''''''(((((((((&&&%%%$$$$$$%%%&&&((()))***++++++''''''(((((()))***++++++((((((((((((((((((((((((((()))+++,,,------,,,+++((()))+++,,,---.....................////////////000///000444666777===DDDLLLVVVeeettt$$$$$$$$$$$$$$$$$$%%%&&&'''''''''&&&%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&###$$$&&&%%%$$$###$$$%%%###111:::222&&&###%%%(((%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$ """$$$%%%$$$###"""%%%%%%$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%&&&&&&''''''((($$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&'''""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&))))))))))))(((&&&$$$"""$$$%%%'''))))))'''%%%$$$$$$######""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%$$$%%%&&&''''''%%%###""""""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$$$$$$$%%%%%%$$$###""""""###$$$$$$###$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%&&&$$$%%%---888DDD888***"""!!!###$$$$$$$$$$$$$$$######$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""$$$''''''&&&%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&%%%###$$$$$$$$$$$$%%%%%%%%%%%%&&&''')))***,,,---...'''(((((('''&&&&&&''')))%%%%%%%%%&&&&&&'''''''''(((((('''''''''&&&&&&&&&%%%&&&((()))***)))'''&&&((((((((((((''''''''''''))))))***+++,,,,,,,,,,,,''''''''''''((()))******)))))))))))))))))))))))),,,---......,,,***(((&&&)))***+++---......------............////////////000...000333666777===CCCKKKUUUdddsss###"""""""""###$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&###$$$&&&&&&$$$######$$$$$$+++111...'''""""""###%%%%%%$$$###""""""""""""#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&########################$$$%%%%%%&&&&&&%%%%%%$$$ !!!$$$&&&''''''&&&%%%&&&%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''&&&&&&%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&&&&'''((("""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$%%%&&&&&&''''''&&&&&&#########"""!!!###%%%(((******(((%%%###&&&%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$$$$$$$%%%'''''''''%%%###""""""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$'''&&&%%%$$$###$$$%%%&&&((($$$ !!!&&&(((%%%"""!!!"""###$$$$$$$$$$$$$$$((($$$$$$&&&'''$$$$$$'''&&&&&&&&&&&&%%%%%%&&&'''$$$######""""""######$$$&&&%%%$$$######$$$%%%&&&######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&((((((''''''((()))$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%######$$$$$$$$$%%%%%%%%%)))***+++,,,...111333444'''((()))(((&&&&&&((()))%%%%%%%%%&&&&&&'''''''''(((((('''''''''&&&&&&&&&$$$&&&((()))***)))(((''')))((((((((((((((()))***&&&&&&''''''''''''&&&&&&(((''''''''''''(((((()))************************&&&(((***---......---,,,)))***,,,---...------,,,............/////////000000...000333555777<<>>\\\UUUEEE555((('''&&&&&&%%%%%%%%%&&&''''''''''''''''''''''''$$$$$$$$$%%%((()))(((&&&'''))),,,,,,***((('''&&&'''(((((()))))))))(((((((((((((((''''''((((((((((((((((((((((((((((((((((((''''''(((***,,,,,,+++,,,******,,,......+++'''++++++++++++++++++,,,,,,000//////...------,,,,,,///000111111333777<<<@@@JJJRRR^^^kkkxxx$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%(((&&&!!! $$$''''''$$$$$$$$$$$$$$$%%%%%%%%%(((333999333'''"""$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%$$$$$$&&&(((&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&)))&&&$$$"""#########"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%!!!  """$$$&&&'''''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%###""""""###%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&'''''''''%%%######$$$%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$&&&'''))))))$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######%%%%%%%%%%%%%%%$$$$$$$$$"""######$$$%%%%%%&&&&&&#########$$$$$$%%%%%%%%%$$$%%%%%%%%%%%%$$$%%%%%%'''&&&%%%$$$############%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%'''&&&$$$######$$$%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&''''''(((***,,,---))))))***...222222---)))$$$%%%%%%&&&%%%&&&&&&''')))&&&###$$$&&&&&&$$$!!!%%%/// 000HHH:::,,,***'''&&&&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''***)))''''''&&&%%%### """&&&(((((()))***+++))))))*********)))(((''''''((((((((((((((((((''')))))))))))))))))))))))))))((('''(((+++,,,+++***)))((())),,,///000,,,)))---,,,,,,++++++***))))))---------............///...///000111333777<<<@@@JJJRRR^^^kkkxxx$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""%%%%%%""" ###%%%$$$%%%$$$$$$$$$$$$%%%&&&&&&***333777111((($$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% """$$$$$$###$$$%%%'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&***(((%%%$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%!!!!!!!!!""""""###$$$$$$''''''''''''&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$###"""###$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%%%%&&&&&&'''''''''%%%###""""""$$$%%%%%%$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$############%%%%%%&&&&&&&&&&&&%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""######$$$$$$######"""%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$%%%&&&''''''""""""######$$$%%%%%%%%%###%%%&&&%%%$$$###$$$&&&&&&%%%$$$###"""!!!!!!!!!%%%%%%$$$$$$%%%%%%&&&'''$$$############$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&%%%###""""""###%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&%%%%%%'''***---+++++++++---//////...,,,)))******(((%%%###"""###)))'''&&&&&&&&&%%%$$$""""""...&&&444)))%%%(((&&&&&&%%%%%%%%%%%%&&&&&&'''''''''''''''''''''''''''&&&%%%&&&''''''%%%######$$$&&&'''&&&&&&'''(((%%%%%%&&&(((((((((((((((''''''((((((((((((''''''))))))))))))***************)))((()))+++,,,+++***'''((())),,,...///---+++******+++,,,,,,,,,++++++++++++,,,---...///000111...///000111333666<<<@@@KKKSSS```mmmzzz$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""%%%$$$ """$$$$$$%%%%%%$$$$$$$$$%%%&&&'''+++111333---''''''))))))$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%'''((('''%%%######$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&)))'''$$$$$$%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%###$$$%%%&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$%%%%%%%%%%%%%%%%%%&&&"""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""$$$$$$%%%%%%&&&''''''((((((&&&$$$%%%&&&'''&&&%%%######$$$$$$$$$%%%%%%%%%#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$######""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%$$$############$$$$$$%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&!!!""""""###$$$$$$%%%%%%###%%%&&&%%%###"""$$$&&&%%%%%%$$$###############%%%%%%$$$$$$%%%%%%&&&'''###############$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%#########$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$"""$$$%%%%%%$$$$$$'''***,,,,,,+++***)))))),,,...---......+++&&&######$$$$$$%%%&&&&&&$$$$$$%%%&&&!!!...###%%%***%%%)))'''&&&%%%%%%$$$%%%%%%&&&&&&''''''''''''''''''''''''""""""###%%%(((***)))(((*********(((%%%$$$$$$%%%###$$$$$$%%%'''((())))))&&&'''((())))))((('''&&&((((((((()))))))))******,,,***)))***++++++***((((((***,,,---,,,++++++,,,((()))+++,,,------------++++++,,,---...///000111...///000111222666;;;???HHHQQQ___mmmzzz$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%% """&&&&&&&&&%%%$$$###$$$%%%&&&''''''++++++&&&"""###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%######################## ###%%%&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%""""""###$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&$$$""""""$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%'''((())))))(((&&&$$$###$$$%%%'''((((((''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$%%%%%%&&&&&&&&&!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""$$$$$$%%%%%%&&&'''(((((((((&&&$$$$$$%%%%%%$$$############$$$$$$%%%%%%%%%"""""""""######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''((()))###$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$!!!!!!"""###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$!!!""""""###$$$$$$%%%%%%"""%%%&&&%%%###"""$$$&&&&&&&&&%%%%%%&&&&&&'''(((%%%%%%$$$$$$%%%%%%&&&'''######""""""###$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%% """$$$&&&&&&%%%"""!!!$$$%%%%%%&&&&&&%%%%%%$$$###&&&&&&$$$###$$$&&&+++,,,***'''$$$%%%***...,,,...///,,,(((&&&'''((("""%%%%%%######&&&)))"""...'''''''''%%%---$$$%%%%%%%%%$$$$$$%%%&&&&&&''''''''''''''''''''''''((('''&&&&&&'''&&&$$$""""""###$$$$$$$$$%%%''')))'''&&&&&&&&&&&&'''((()))&&&'''((())))))((('''&&&&&&'''''''''(((((())))))---+++******++++++)))((())),,,...---***(((***,,,***+++,,,---...---,,,,,,,,,,,,------...//////000...///000000222666;;;???DDDMMM\\\jjjwww$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$#########$$$###$$$%%%%%%$$$###!!! ###$$$%%%&&&&&&%%%$$$###%%%%%%%%%%%%%%%$$$###"""%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%$$$$$$###%%%$$$#########!!!$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$)))((((((''''''&&&%%%%%%%%%$$$$$$######$$$$$$%%%"""""""""###$$$$$$%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%)))(((&&&%%%%%%&&&((()))&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&%%%$$$$$$%%%%%%%%%%%%$$$######""""""######""""""###$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''(((%%%""""""%%%&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$######$$$$$$%%%"""###%%%%%%%%%###!!! ######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&$$$###"""###$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###"""""""""%%%%%%%%%$$$$$$#########%%%$$$$$$######$$$$$$%%%&&&%%%$$$%%%'''((('''&&&$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((()))***)))((('''(((***$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''((((((((((((***)))(((''''''&&&'''''')))))))))))))))))))))))))))((('''''''''(((***+++((((((''''''''''''(((((())))))))))))))))))))))))***)))((()))***+++***)))&&&%%%&&&(((+++---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------...///000000---...000111333666;;;???KKKQQQ\\\hhhuuu$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###&&&%%%$$$$$$######$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%$$$$$$###'''&&&%%%%%%&&&&&&$$$"""$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&'''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$%%%#########$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$######""""""######$$$'''$$$######&&&))))))((($$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$&&&&&&&&&%%%###"""######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$#########$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%$$$$$$######$$$$$$%%%%%%$$$$$$$$$&&&'''&&&%%%###""""""""""""###$$$$$$%%%%%%%%%%%%%%%&&&''''''%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((('''&&&&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''((((((((((((((('''''''''''''''((()))((((((((((((((((((((((((((('''&&&&&&&&&'''))))))((((((''''''''''''(((((())))))))))))))))))))))))***)))((()))***+++***)))((('''''')))+++------,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,---......//////---...000111333666;;;???HHHOOO[[[gggttt$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$######$$$$$$ !!!"""######%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%$$$######%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%$$$$$$######!!!!!!!!!###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%'''''''''&&&%%%$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$######%%%%%%%%%$$$$$$%%%%%%&&&(((''''''&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&%%%$$$###$$$&&&(((((((((%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$############$$$%%%$$$$$$######$$$$$$%%%$$$%%%&&&'''&&&%%%$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&&&&''''''%%%%%%%%%$$$$$$$$$$$$###%%%$$$$$$######$$$$$$%%%$$$#########%%%&&&%%%$$$$$$############$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&'''%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&'''''''''((((((&&&''''''''''''(((((((((&&&&&&&&&&&&'''((()))***''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((((((((((((''''''''''''(((((()))))))))))))))))))))))))))(((((((((***++++++)))***))))))***,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,------......---...000111222666;;;>>>DDDMMMYYYgggttt$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$###$$$$$$%%%  !!!"""&&&%%%$$$######$$$%%%&&&$$$$$$%%%%%%%%%$$$$$$###%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%$$$$$$###!!! !!!###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''((((((%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&((((((((('''&&&$$$"""!!!%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$######%%%%%%$$$$$$$$$%%%&&&&&&(((((('''&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$########################''''''&&&&&&&&&&&&''''''%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######"""######$$$%%%$$$$$$######$$$$$$%%%$$$%%%%%%&&&&&&%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%###""""""!!!%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&###$$$$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$########################$$$$$$$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%###"""""""""$$$%%%$$$###'''&&&&&&&&&&&&'''((((((&&&%%%%%%$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###%%%&&&%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((((((''''''''''''(((((((((((((((((((((((((((((()))((('''(((***++++++***,,,+++***+++---------,,,++++++,,,,,,,,,,,,------+++++++++,,,,,,------------...000000222555:::===BBBKKKYYYggguuu$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%$$$$$$###$$$$$$%%%%%%'''&&&%%%#########$$$%%%&&&%%%$$$######$$$%%%&&&###$$$$$$%%%%%%%%%$$$$$$%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%$$$$$$###%%%###!!!!!!###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&'''((((((%%%$$$$$$######$$$$$$%%%###$$$$$$$$$%%%%%%&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''''''''''''''%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&%%%%%%$$$$$$%%%$$$$$$$$$%%%%%%&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$############$$$$$$###$$$%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######"""######$$$$$$%%%$$$$$$######$$$$$$%%%######$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%%%%%%%#########$$$$$$$$$%%%%%%$$$$$$############$$$$$$########################%%%$$$$$$$$$#########"""$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%###"""!!!"""$$$%%%$$$###''''''&&&&&&''''''((()))&&&%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&'''&&&%%%$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((())))))))))))((((((''''''''''''(((((((((((((((((((((((((((((((((''''''(((***,,,+++***---,,,+++,,,---...---++++++++++++,,,,,,---------++++++,,,,,,,,,,,,,,,------...///000111555999<<>>FFFQQQ^^^kkk{{{########################$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&''''''&&&$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%######$$$%%%%%%%%%%%%$$$##################$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''((('''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$######$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''' """$$$%%%$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$############""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""#########$$$$$$$$$%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%%%%%%%#########$$$$$$$$$%%%%%%&&&%%%$$$######$$$%%%&&&"""############"""!!! %%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############""""""""""""!!!!!!"""###$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$###"""!!!###"""""""""""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%((($$$###$$$&&&&&&$$$"""$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&(((''''''&&&&&&&&&''''''$$$&&&''''''&&&&&&'''((((((((('''''''''''''''''''''''''''((((((((())))))******))))))(((((('''''''''((()))***,,,,,,,,,---------,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,+++---------------------------.........///111555888>>>EEEPPP]]]jjjzzz########################%%%%%%%%%%%%%%%%%%%%%%%%""""""#########$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%""" """%%%'''%%%"""$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%######$$$%%%%%%%%%%%%$$$""""""######$$$$$$$$$$$$"""###$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""######$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$''''''&&&%%%%%%$$$######$$$$$$%%%&&&&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''!!!###%%%%%%$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##################$$$$$$$$$$$$%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%###""""""###%%%%%%""""""""""""""""""!!!!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""!!!!!!"""###$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&###$$$$$$%%%%%%$$$$$$#########"""""""""""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&###!!!"""%%%'''%%%!!!$$$############$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&''''''&&&&&&&&&'''(((((($$$&&&''''''''''''(((************)))((('''&&&&&&(((((()))))))))***************))))))(((((('''''''''((()))++++++,,,,,,,,,,,,)))'''(((,,,...,,,***,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,---...////////////000000000222666999===DDDPPP\\\iiiyyy$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$%%%%%%$$$$$$######$$$$$$%%%$$$(((&&&"""########################%%%$$$$$$######$$$$$$%%%######$$$%%%%%%%%%%%%$$$!!!"""###$$$%%%%%%%%%%%%!!!$$$%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&***(((%%%###""""""$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$######$$$%%%%%%&&&''''''###$$$%%%&&&'''&&&%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%$$$######$$$$$$%%%%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%'''((('''%%%######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$$$$$$$%%%%%%%%%########################$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$############$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%"""#########$$$%%%%%%%%%#########$$$$$$%%%%%%%%%!!!"""###$$$%%%&&&&&&&&&$$$$$$###"""""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""###""""""&&&+++***&&&$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&&&&''''''((((((((()))$$$&&&'''((('''''')))***))))))***))))))(((&&&&&&))))))))))))************))))))))))))((((((((((((++++++++++++***)))(((((()))&&&$$$&&&+++...---***,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,---...///000000000111000000222666999===DDDOOO[[[hhhwww%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%  ###%%%$$$"""$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%######$$$%%%%%%%%%%%%$$$!!!"""###%%%&&&&&&%%%%%%"""$$$$$$###%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$###"""""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$###""""""###$$$&&&'''(((((("""###%%%''''''&&&%%%$$$%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&((()))(((&&&$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%########################$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%"""###$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&######$$$$$$$$$$$$######%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""###$$$%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%""""""###$$$%%%%%%&&&%%%%%%%%%$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%$$$$$$$$$!!!$$$$$$"""%%%******&&&$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&$$$%%%'''((()))))))))((($$$%%%''''''&&&&&&''')))$$$%%%&&&'''((((((''''''((((((((())))))))))))***(((((((((((())))))))))))************)))((('''&&&'''''''''((()))***+++,,,+++++++++,,,,,,---------,,,,,,,,,------.........///000000000///111555888<<>>GGGQQQ]]]kkk{{{ !!!"""###$$$%%%%%%%%%$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!""""""###$$$&&&'''""""""######$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%!!!###$$$%%%&&&%%%%%%$$$""""""""""""""""""""""""#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&!!!"""###$$$%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% !!!$$$&&&'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%% """######""""""###$$$######$$$%%%%%%&&&''''''######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&''''''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%!!! %%%(((&&&###'''&&&&&&%%%%%%$$$$$$######$$$%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%&&&##################$$$$$$""""""###$$$%%%&&&&&&'''%%%$$$$$$$$$######""""""!!!""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###"""""""""$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$&&&''''''&&&&&&''''''&&&%%%&&&'''((()))777000(((######%%%&&&&&&$$$#########$$$%%%%%%&&&%%%$$$$$$%%%&&&&&&%%%$$$###"""""""""$$$%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$"""###$$$%%%&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$&&&''')))$$$$$$%%%%%%&&&'''((((((&&&&&&&&&&&&&&&'''((()))''''''''''''((((((((()))%%%%%%&&&&&&&&&&&&&&&%%%&&&&&&&&&'''''''''(((((())))))(((((((((((())))))((())))))(((''''''***,,,......---,,,++++++++++++******+++,,,,,,---......+++,,,------......------+++---.........000444666999>>>GGGQQQ\\\kkkzzz######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%""""""#########$$$$$$$$$"""######$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$######$$$%%%'''(((%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%&&&!!!###&&&$$$!!!########################%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%''')))+++***(((&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&$$$"""###%%%&&&%%%"""%%%%%%$$$$$$%%%%%%&&&'''((('''%%%$$$$$$$$$"""  """###$$$$$$$$$###%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########'''&&&&&&%%%$$$###""""""((('''%%%$$$###$$$%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&%%%$$$############$$$$$$%%%%%%%%%########################$$$'''&&&!!!"""%%%$$$###########################$$$%%%$$$######$$$%%%################################################$$$$$$$$$$$$$$$$$$$$$$$$'''&&&$$$#########$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$###""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%$$$###$$$%%%'''(((&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$'''%%%###%%%%%%###$$$$$$$$$#########""""""'''''''''&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''%%%"""!!!!!!$$$'''&&&&&&%%%%%%$$$######"""'''&&&$$$###$$$&&&((()))'''&&&$$$######$$$&&&'''((($$$"""$$$(((***'''$$$"""$$$&&&&&&%%%%%%%%%&&&&&&'''(((((())))))((((((''''''&&&&&&&&&&&&''''''(((((())))))))))))((((((+++******)))(((''''''&&&)))))))))))))))*********(((***+++------,,,+++***++++++++++++,,,---.........------------...//////000000000///...000444888;;;===EEEQQQ[[[fffuuu######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%###$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%'''$$$!!!"""%%%'''&&&%%%########################%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%'''(((***)))'''%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$"""###%%%&&&%%%###%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$$$$%%%%%%$$$"""""""""###$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&%%%%%%$$$$$$#########%%%%%%$$$###############%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''%%%###'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%$$$$$$$$$%%%################################################$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$#########$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$############$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$######### !!!!!!"""###$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%"""%%%%%%""""""$$$### %%%%%%$$$$$$############''''''&&&&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$""" ###&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%%%%%%%%%%&&&''''''&&&$$$######$$$&&&'''(((%%%"""$$$((()))'''$$$###$$$&&&&&&%%%%%%%%%&&&$$$%%%&&&&&&''''''&&&&&&''''''&&&&&&&&&&&&''''''''''''((((((((((((''''''''''''''''''(((((((((((())))))))))))************(((***+++------,,,+++***++++++++++++,,,---.........------------...//////000000000///...000444777:::===EEEQQQ[[[fffttt######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$###"""%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&'''((((((&&&$$$$$$%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&$$$###$$$%%%&&&%%%###%%%%%%$$$$$$%%%%%%&&&'''$$$###"""$$$%%%'''&&&%%%&&&&&&%%%%%%%%%%%%&&&'''%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###&&&&&&%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$###"""%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%% $$$$$$ """!!!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########"""################################################%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$#########$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""""""""###%%%&&&((()))$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$###############""""""###&&&((()))((('''&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&%%%### """'''&&&!!!&&&%%%%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###!!! ###%%%!!!!!!"""###$$$$$$%%%%%%'''&&&&&&&&&&&&%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&'''%%%###$$$''')))'''%%%###%%%&&&'''&&&%%%&&&'''$$$%%%&&&&&&''''''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&###$$$%%%&&&'''((()))***(((((())))))************)))***+++,,,---,,,++++++++++++++++++,,,---.........------------.../////////000000//////000444777:::===EEEPPPZZZeeesss######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%!!!###%%%%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&'''&&&$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$%%%%%%%%%%%%$$$%%%%%%$$$$$$%%%%%%&&&'''$$$######$$$&&&'''&&&%%%((('''%%%$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%&&&'''((()))((('''&&&%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$###"""%%%%%%%%%$$$$$$#################################&&&+++***((((((%%%!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""""""""!!! ################################################%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%'''((()))$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$############'''((())))))))))))((('''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%(((&&&"""!!!'''//////+++'''&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$###!!!!!!$$$&&&!!!""""""######$$$$$$%%%%%%%%%&&&''''''&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%$$$%%%'''((('''%%%###%%%''''''&&&%%%&&&'''&&&'''(((((()))(((((((((''''''&&&&&&&&&&&&''''''&&&''''''((((((''''''&&&$$$$$$%%%&&&((()))******(((((())))))******++++++)))***+++,,,,,,,,,++++++++++++++++++,,,---.........------------...//////...///000//////000333666:::===DDDPPPZZZdddrrr######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%############$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""!!!"""$$$%%%&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%!!!###&&&'''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&&&&%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$$$$&&&'''&&&$$$&&&&&&$$$######$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&%%%&&&'''((()))((('''&&&$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$######%%%%%%%%%$$$$$$#################################&&&(((%%% ###((()))$$$$$$$$$$$$$$$$$$$$$$$$%%%###""""""###$$$""" ################################################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$%%%%%%%%%%%%%%%%%%%%%&&&%%%###!!! !!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%'''&&&###$$$---777:::777(((&&&%%%$$$###$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$######%%%'''###########################$$$%%%&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&''''''&&&###%%%''''''&&&&&&&&&'''&&&'''(((((()))(((((((((''''''&&&&&&&&&&&&''''''((((((((())))))(((((((((''''''((((((((()))))))))'''(((((()))******++++++******++++++,,,,,,,,,,,,++++++++++++,,,---.........------------...//////...////////////000333555:::<<>>DDDNNNZZZcccnnnzzz########################$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%$$$$$$###"""""""""$$$#########$$$$$$###!!!$$$$$$%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%%%%$$$#########$$$%%%&&& %%%%%%###"""###&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%$$$###"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%&&&%%%######%%%&&&&&&&&&&&&&&&&&&'''((((((&&&%%%$$$######%%%&&&(((&&&%%%$$$$$$%%%&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$###"""'''&&&&&&%%%$$$$$$$$$%%%'''''''''&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&'''%%%###$$$&&&'''&&&$$$(((((((((((('''&&&%%%%%%%%%%%%%%%$$$$$$$$$##############################%%%###""""""$$$%%%$$$"""""""""###############$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$###############$$$$$$##################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$########################%%%%%%%%%%%%$$$$$$$$$###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ """###"""!!!!!!########################$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%###""""""###%%%&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&(((((()))***)))'''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&&&&%%%$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$%%%$$$############$$$&&&'''$$$$$$$$$###$$$$$$%%%&&&&&&$$$###$$$&&&((('''&&&'''&&&%%%$$$$$$%%%''''''((((((''''''&&&&&&%%%%%%''''''&&&&&&&&&&&&''''''((((((((('''&&&&&&%%%%%%(((((((((((((((((((((((())))))))))))(((((((((((())))))(((((((((((())))))))))))***+++******)))(((&&&(((***,,,......---,,,---,,,+++******,,,---///000///...---...000111333111555999>>>DDDNNNZZZbbbmmmyyy########################$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$######""""""%%%$$$###$$$%%%%%%###!!!%%%%%%%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$#########$$$$$$ $$$%%%###"""$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&%%%$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&'''&&&$$$$$$&&&'''&&&&&&&&&&&&&&&&&&'''(((&&&%%%$$$###$$$%%%&&&'''%%%$$$######%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%'''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%###############$$$$$$$$$$$$$$$%%%%%%%%%$$$##################$$$%%%&&&'''&&&&&&&&&%%%$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&#########$$$$$$$$$%%%%%%&&&%%%$$$%%%&&&'''&&&$$$)))((('''%%%###"""!!!!!!%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$%%%$$$###%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%########################&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$ !!!###$$$%%%%%%$$$####################################""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$""""""""""""$$$$$$###$$$$$$%%%%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&((())))))***)))(((&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!###%%%%%%$$$###$$$%%%!!!"""$$$%%%&&&&&&%%%$$$%%%$$$$$$######$$$%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&%%%###"""###&&&'''((('''(((''''''&&&&&&&&&&&&&&&***))))))((('''&&&%%%%%%&&&''''''''''''''''''&&&''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))++++++************++++++***************)))((('''%%%'''))),,,---.........---,,,+++***+++,,,---...///...------...000111222111444999===DDDMMMZZZbbblllwww########################$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&%%%%%%%%%$$$$$$#########%%%$$$###$$$%%%$$$###!!!&&&%%%%%%%%%$$$$$$#########$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$############&&&''''''%%%###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%%%%$$$$$$%%%'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&'''((('''%%%%%%'''(((&&&&&&&&&%%%%%%&&&''''''%%%%%%$$$$$$$$$%%%&&&'''%%%$$$###$$$%%%&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&%%%$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!""""""""""""""""""$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$%%%&&&'''(((#########"""""""""!!!!!!&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&%%%&&&%%%###"""""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%$$$((('''&&&&&&'''&&&%%%$$$%%%%%%%%%%%%%%%$$$$$$$$$ !!!"""$$$%%%&&&&&&'''######$$$$$$$$$$$$$$$%%%########################&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%&&&&&&%%%%%%##############################""""""""""""#########$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$############$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''((((((((('''%%%%%%%%%%%%$$$$$$$$$$$$$$$###!!!"""$$$$$$#########$$$!!!"""###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$%%%&&&&&&%%%%%%$$$$$$%%%&&&'''''''''''''''&&&&&&&&&&&&&&&))))))(((((('''''''''&&&%%%&&&'''(((((('''&&&%%%&&&&&&&&&'''''''''(((((((((((((((((((((((((((((((((((((((((())))))))))))++++++************++++++++++++******))))))(((((('''(((***+++------------,,,,,,+++++++++,,,---...------------...000111222111444888===CCCMMMYYYbbbkkkvvv###########################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&%%%%%%%%%$$$$$$$$$$$$$$$###""""""###$$$$$$###!!!%%%%%%%%%$$$$$$############$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$######"""%%%&&&'''&&&%%%$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''(((((()))$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$$$$######%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&'''''''''(((((('''&&&&&&''')))'''&&&&&&%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%&&&&&&'''%%%$$$%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&''''''&&&$$$###&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&%%%$$$$$$###$$$$$$%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$%%%&&&&&&######""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%'''(((***$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$%%%&&&(((&&&$$$$$$&&&&&&$$$"""&&&&&&&&&%%%%%%%%%$$$$$$ !!!###$$$%%%%%%%%%######$$$$$$%%%%%%%%%%%%########################&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!""""""""""""""""""##############################""""""""""""###############$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###########################&&&&&&&&&%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$#########!!!"""$$$$$$#########$$$$$$###""""""###%%%'''((($$$$$$%%%$$$$$$$$$$$$###%%%%%%$$$$$$%%%%%%&&&''''''(((((((((''''''''''''(((((('''&&&&&&&&&&&&'''&&&'''''''''(((((())))))%%%&&&'''(((((('''&&&%%%%%%%%%&&&&&&'''((((((((('''''''''''''''''''''''''''((((((((()))))))))***+++******))))))******++++++******)))))))))))))))***+++++++++,,,,,,++++++++++++++++++,,,,,,------,,,,,,------///000111222000444888===CCCMMMYYYaaakkkvvv##############################$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$"""""""""###%%%&&&%%%$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%%%%$$$######!!!!!!"""###$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$&&&'''((()))***$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''&&&'''((('''%%%%%%'''((('''&&&&&&%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&'''&&&%%%%%%''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%$$$###"""!!!######$$$%%%%%%%%%$$$$$$$$$$$$######""""""######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''%%%'''((('''&&&%%%&&&'''&&&&&&%%%%%%%%%%%%%%%&&&###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""$$$%%%%%%$$$$$$&&&''',,,)))'''(((***+++)))&&&''''''&&&&&&%%%%%%$$$$$$######$$$$$$###""" ######$$$$$$%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%""""""""""""""""""""""""######$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##################$$$$$$#################################""""""##################$$$$$$%%%%%%&&&######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###########################%%%%%%%%%%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########!!!###%%%%%%$$$###$$$%%%&&&$$$"""!!!"""$$$'''(((###$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%&&&&&&''')))+++...///...,,,++++++///---***(((&&&&&&''''''%%%%%%&&&'''((())))))***&&&''''''''''''''''''&&&&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''(((((())))))*********))))))))))))))))))*********))))))))))))******,,,,,,,,,+++++++++******++++++,,,,,,,,,---------++++++,,,...///000111111000333888<<>>BBBEEEEEEFFF===333+++(((((('''%%%(((((((((''''''&&&%%%$$$'''&&&$$$######$$$&&&'''***(((&&&&&&((()))(((&&&'''((((((((((((''''''''''''''''''''''''''''''''''''''''''((((((((())))))((((((((((((((((((((((((++++++++++++++++++++++++++++++,,,,,,,,,,,,------------,,,------...///000111444888<<>>888000,,,***)))'''%%%'''((((((((('''%%%$$$"""%%%%%%%%%%%%%%%%%%%%%%%%+++)))'''&&&''''''&&&%%%((((((((('''(((((())))))'''''''''''''''''''''''''''''''''((((((((())))))************************,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,------------,,,------...///000111444777;;;AAAJJJUUU^^^hhhrrr""""""###$$$$$$$$$$$$###'''%%%$$$%%%'''((('''%%%###$$$%%%&&&%%%$$$###"""""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$######$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""%%%'''&&&%%%$$$######$$$%%%%%%%%%%%%$$$%%%$$$$$$###############"""""""""#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%&&&((())))))+++***)))(((''''''&&&'''$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$!!!"""%%%''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######""""""""""""######$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&"""###$$$%%%%%%%%%%%%%%%################################################%%%%%%%%%%%%%%%%%%%%%%%%######""""""""""""######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%###!!! $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#################################"""""""""""""""$$$$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%############$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######&&&&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%%%%%%%&&&'''((('''&&&%%%$$$#########$$$$$$######$$$$$$%%%&&&'''&&&%%%%%%(((,,,000333888555222111111///***&&&&&&'''(((((((((&&&%%%###&&&&&&'''(((((('''&&&&&&)))((('''&&&&&&&&&&&&&&&((('''%%%%%%&&&'''((((((''''''''''''((((((((((((((((((((()))))))))******+++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------------,,,------...///000000333777:::???HHHSSS\\\fffqqq""""""###$$$$$$$$$$$$###'''&&&%%%%%%%%%$$$###!!!###$$$%%%&&&%%%$$$###"""""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""%%%''''''&&&%%%######$$$%%%%%%%%%%%%$$$""""""######$$$$$$$$$$$$"""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%%%%&&&'''((()))))))))***)))(((''''''&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&#########$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&""""""###$$$%%%%%%%%%%%%################################################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################""""""""""""""""""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%&&&((()))''''''&&&%%%$$$###""""""#########$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%$$$$$$###############$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%%%%%%%&&&'''((('''&&&%%%$$$#########$$$$$$######$$$$$$%%%&&&''''''&&&%%%%%%&&&'''(((//////222666999888222---%%%&&&'''((((((((('''&&&%%%&&&((())))))(((&&&%%%&&&&&&&&&&&&&&&&&&((())))))'''$$$$$$&&&((((((''''''''''''((((((((())))))))))))*********+++++++++(((((((((((((((((((((((()))*********+++++++++,,,+++++++++,,,,,,,,,------------,,,------...///000000333666:::>>>GGGRRRZZZdddooo~~~""""""###$$$$$$$$$$$$######$$$$$$%%%%%%$$$$$$###$$$%%%%%%%%%%%%$$$###############$$$$$$%%%%%%&&&%%%$$$$$$######$$$$$$%%%$$$&&&'''&&&$$$$$$%%%&&&%%%%%%$$$$$$$$$%%%&&&'''$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$&&&&&&%%%###"""######$$$%%%%%%%%%%%%$$$ !!!"""###$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$%%%&&&'''((())))))))))))(((((('''&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$(((%%%###"""###$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&%%%%%%%%%&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&"""###$$$%%%%%%%%%%%%%%%#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%$$$$$$$$$$$$%%%%%%##############################$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################""""""""""""############"""""""""###############$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$$$$$$$((('''&&&%%%$$$###"""!!!$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&'''%%%%%%%%%$$$$$$$$$#########$$$%%%%%%%%%%%%$$$$$$###############$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&&&&$$$$$$%%%''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&''''''''''''&&&%%%###"""&&&(((,,,333:::<<<999666(((((((((((((((((((((((($$$$$$%%%&&&&&&%%%$$$$$$$$$%%%&&&&&&%%%&&&(((***,,,)))&&&&&&)))***(((&&&'''''''''(((((())))))***)))))))))*********++++++)))))))))))))))))))))))))))))))))******++++++,,,++++++,,,,,,,,,,,,------------,,,------...///000000333666999===EEEPPPXXXcccmmm}}}""""""###$$$$$$$$$$$$###"""###%%%&&&&&&%%%%%%%%%&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$%%%%%%###%%%&&&&&&$$$###%%%'''%%%$$$#########$$$&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$#########$$$%%%%%%%%%%%%$$$!!!"""###$$$$$$###""""""%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$%%%'''((((((((((((''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&$$$###$$$&&&'''&&&$$$$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&&&&%%%%%%%%%&&&###$$$&&&''''''&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%##############################$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################"""""""""######$$$$$$$$$!!!"""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""#########$$$$$$$$$###""""""""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$######&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######!!!"""###%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&$$$###$$$%%%&&&&&&%%%$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&''''''&&&%%%$$$###%%%$$$%%%***111666888777...---***(((''''''(((((($$$%%%%%%%%%%%%%%%%%%$$$%%%&&&'''&&&$$$$$$&&&))),,,)))&&&'''))))))&&&"""&&&''''''((())))))******'''(((((((((((()))))))))++++++++++++++++++++++++))))))***++++++,,,------++++++,,,,,,,,,,,,------------,,,------...///000000333666888<<>>AAALLLVVVdddsss%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%"""!!!!!!"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%'''***+++))))))(((((('''%%%$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###%%%%%%$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%########################$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''(((((((((((('''%%%%%%%%%&&&&&&&&&&&&'''$$$$$$$$$###############%%%%%%$$$$$$$$$#########"""###$$$%%%&&&%%%%%%$$$%%%$$$$$$$$$%%%%%%$$$$$$"""###$$$$$$$$$$$$""""""!!!$$$&&&%%%###!!!"""$$$&&&&&&&&&&&&&&&&&&&&&&&&############$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''')))***+++&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$############%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$#########"""&&&%%%$$$#########$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$########################%%%%%%%%%$$$$$$$$$######%%%%%%%%%$$$$$$$$$######%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%$$$$$$$$$####################################$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%%%%$$$######%%%&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$%%%########################$$$$$$$$$$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$$$$!!!"""###$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""***222222***$$$"""$$$######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))))))))))))))&&&%%%%%%%%%%%%%%%%%%&&&&&&'''((((((((('''%%%$$$&&&&&&''''''''''''''''''&&&(((++++++)))'''((()))''''''(((******++++++*********))))))))))))******************************))))))))))))************+++++++++,,,---...///000///111222444555999>>>AAALLLUUUcccrrr%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%$$$"""!!!!!!"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%'''(((***((((((((('''&&&%%%$$$###!!!"""###$$$%%%&&&&&&'''&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%$$$###""""""%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$###$$$$$$%%%%%%%%%%%%$$$&&&###!!!###''')))&&&"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$#########$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&############$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$############%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############%%%$$$###"""""""""######%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%$$$$$$$$$$$$###$$$$$$###############"""$$$$$$%%%%%%%%%$$$######'''&&&&&&%%%$$$###""""""########################%%%%%%%%%%%%$$$$$$$$$$$$########################$$$$$$$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%###""""""$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%"""######$$$$$$###############$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###&&&******&&&######$$$###$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$#########%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''&&&%%%%%%(((((('''''''''&&&&&&&&&$$$&&&)))***))))))***+++''''''((()))************---+++)))(((((()))+++---,,,,,,+++***)))(((((('''))))))))))))*********+++******+++,,,---///000111///111222333555999===AAAKKKTTTaaaooo}}}%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$$$$$$$&&&((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%&&&'''((('''''''''&&&&&&$$$######""""""###$$$%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%$$$#########$$$$$$%%%%%%%%%###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$###!!!$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%%%%%%%%%%%%%%%%'''%%%%%%&&&((((((%%%###%%%%%%%%%$$$%%%%%%&&&'''(((&&&$$$###$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''%%%$$$""""""!!!!!!%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$#########$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%%%%$$$$$$###'''&&&&&&%%%$$$###""""""########################################################################$$$$$$%%%%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$"""!!!"""###%%%$$$$$$(((((('''%%%###"""!!! $$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%!!!"""$$$%%%%%%%%%######$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%((('''%%%%%%&&&(((***,,,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%###!!!%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&''''''&&&'''((()))))))))******''''''((()))******))))))+++***))))))))))))***+++------,,,,,,+++*********+++++++++,,,,,,,,,------+++++++++,,,---...000000///000222333555888===AAAJJJSSS___mmm|||%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$#########&&&((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&''''''&&&&&&%%%$$$#########$$$$$$%%%%%%%%%###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%$$$###"""$$$$$$$$$%%%%%%%%%&&&&&&(((''''''&&&%%%$$$$$$#########$$$%%%'''((()))***&&&%%%%%%%%%%%%%%%%%%%%%''')))++++++(((%%%%%%%%%$$$############$$$%%%&&&)))&&&###"""###$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$,,,+++***((('''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#############################################$$$########################$$$$$$%%%%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$"""!!!"""###%%%$$$$$$((('''&&&%%%###"""!!! $$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%"""###%%%&&&&&&&&&%%%$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$""""""###$$$&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$###""""""###%%%''')))$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&))))))(((((('''%%%$$$###%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&''')))******)))(((((((((((((((((('''(((((())))))))))))((('''((()))******)))((('''******+++++++++,,,,,,,,,+++,,,,,,,,,,,,---------------,,,,,,,,,---......///000111333444888===@@@IIIRRR^^^lll{{{%%%$$$$$$######$$$$$$%%%########################$$$$$$###!!!!!!"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%%%%$$$$$$###"""%%%%%%%%%$$$$$$$$$######&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%###$$$%%%%%%######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!"""###$$$%%%&&&&&&''' """$$$%%%&&&''''''$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$###"""""""""""""""$$$%%%'''((()))***'''&&&&&&%%%%%%%%%%%%&&&'''+++///...***&&&'''((())))))******++++++,,,,,,---,,,***((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&'''((())))))$$$%%%%%%&&&&&&'''''''''&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&######$$$%%%%%%%%%$$$$$$#########$$$$$$%%%%%%%%%########################%%%%%%%%%%%%&&&&&&&&&&&&########################$$$$$$$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%###""""""$$$%%%%%%$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$######"""######$$$$$$$$$%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%######""""""###$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&''''''''''''%%%&&&'''(((((('''&&&%%%%%%%%%%%%$$$%%%%%%&&&'''%%%%%%%%%%%%&&&(((***+++---+++)))((((((((('''%%%'''(((((())))))(((((((((&&&''')))++++++)))'''&&&&&&&&&'''((()))***+++,,,************++++++++++++...------,,,,,,---------...000111222444888<<<@@@HHHQQQ^^^lllzzz%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###!!!!!!###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""$$$$$$$$$$$$$$$######"""$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$###%%%%%%$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%% """###$$$%%%%%%###$$$$$$$$$$$$%%%%%%%%%###$$$$$$$$$%%%%%%&&&&&&$$$$$$$$$%%%&&&&&&''''''((('''&&&%%%$$$%%%%%%&&&(((***---......---,,,+++---...///111111111111000000111222///***&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&############$$$%%%&&&'''$$$$$$%%%%%%&&&''''''((($$$%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&"""###$$$%%%&&&%%%%%%$$$#########$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%%########################%%%%%%%%%&&&&&&&&&''''''#################################$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%%%%$$$######%%%&&&&&&%%%""""""###$$$%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%############$$$%%%&&&'''%%%$$$$$$###$$$%%%''''''$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&&&&%%%$$$%%%&&&%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$%%%%%%&&&&&&&&&%%%&&&'''(((((('''&&&%%%%%%%%%$$$$$$$$$%%%&&&''''''&&&%%%%%%%%%''')))***...+++((('''(((((('''%%%'''((((((((((((((('''''')))))))))******)))))))))&&&&&&'''((()))***++++++*********+++++++++,,,,,,,,,,,,,,,,,,,,,---...///...///111222444777<<<@@@HHHQQQ___mmm{{{%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%#########"""!!!"""%%%((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!######$$$$$$$$$######"""""""""###$$$%%%&&&&&&'''$$$%%%%%%%%%%%%$$$######&&&%%%%%%$$$$$$############$$$%%%%%%######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%&&&&&&&&&&&&%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%''')))***+++,,,&&&&&&%%%%%%%%%$$$$$$$$$((('''&&&%%%$$$%%%%%%&&&(((((()))---222333000,,,(((***,,,...//////...---,,,000222...'''""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&%%%&&&&&&&&&$$$$$$%%%%%%&&&'''(((((($$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&!!!"""###$$$%%%%%%$$$###""""""###$$$%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%""""""######$$$$$$$$$$$$"""###$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#################################$$$$$$%%%%%%%%%########################""""""#########$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&$$$###$$$%%%'''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%&&&&&&######$$$$$$$$$%%%%%%%%%###"""!!!!!!"""$$$&&&'''$$$$$$######$$$&&&''')))$$$$$$$$$$$$$$$$$$$$$$$$ $$$((((((%%%######%%%%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&*********)))((('''%%%$$$%%%&&&((())))))(((&&&%%%%%%%%%$$$###$$$%%%'''(((***(((&&&%%%%%%&&&'''(((...***'''&&&((()))(((&&&'''((((((((((((((('''''',,,+++***((((((***+++,,,)))))))))***++++++,,,,,,,,,,,,---------.........******+++,,,---///000111...///111222444777<<<@@@GGGQQQ___nnn{{{$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$%%%&&&&&&'''&&&%%%$$$###"""""""""$$$$$$$$$#########""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$###############$$$%%%%%%%%%$$$$$$#########%%%%%%%%%$$$$$$$$$######&&&### """''')))'''$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$%%%%%%%%%$$$$$$%%%&&&'''((()))***(((((((((''''''&&&&&&&&&)))))))))((('''%%%$$$###""""""#########$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&''''''((('''&&&$$$###&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%%%%'''((())))))'''&&&((()))(((((((((((((((''''''&&&$$$$$$%%%%%%%%%&&&&&&&&&)))'''%%%#########$$$%%%)))&&&###!!!!!!"""$$$&&&"""############$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%$$$###"""###$$$$$$%%%%%%$$$$$$###!!!!!!""""""######$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$#########""""""%%%%%%%%%$$$$$$#################################$$$$$$$$$$$$######""""""#########$$$$$$%%%%%%%%%###%%%%%%$$$"""!!!"""###&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$##################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$######$$$&&&'''(((&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$#########$$$%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$#########"""###%%%''''''&&&%%%$$$%%%%%%%%%&&&&&&''''''''''''&&&%%%%%%''''''&&&%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&'''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((((((((((((''''''''''''&&&&&&&&&(((((((((((())))))))))))))))))))))))************&&&&&&$$$"""!!!$$$)))---000///---------------,,,//////.........//////000111111111000111444999===GGGQQQ___lllxxx$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$ !!!"""###%%%(((***+++$$$$$$$$$#########""""""###$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$############$$$$$$%%%%%%%%%$$$$$$$$$###############$$$$$$%%%%%%%%%%%%###!!!$$$(((***'''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$$$$&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&%%%%%%&&&''''''''''''&&&&&&%%%#########$$$$$$$$$$$$%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%%%%$$$###"""""""""######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$$$$%%%%%%&&&'''$$$"""!!!###&&&''''''%%%'''''''''''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%&&&%%%$$$$$$$$$%%%&&&''''''&&&%%%$$$$$$$$$%%%%%%############$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%$$$$$$#########$$$$$$%%%%%%$$$$$$###""""""""""""##################$$$$$$$$$%%%%%%%%%$$$$$$$$$#########""""""%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""######$$$$$$$$$%%%%%%%%%###$$$%%%$$$"""!!!"""###"""###$$$$$$&&&&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''$$$$$$######$$$%%%'''(((%%%%%%%%%$$$$$$########################%%%&&&'''%%%%%%%%%%%%%%%%%%$$$$$$&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&(((&&&%%%%%%&&&&&&%%%###&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''(((''''''''''''&&&&&&&&&''''''((((((((()))))))))))))))))))))************(((((('''&&&&&&)))---111:::666111---,,,,,,------///......---------......////////////111444:::>>>EEEOOO\\\iiiuuu$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$######"""!!!!!!!!!"""######$$$$$$$$$$$$$$$###############!!!"""###$$$$$$###"""!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%%%%$$$$$$$$$$$$###!!!"""###$$$%%%&&&&&&'''$$$######&&&******'''###$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""###$$$$$$''''''&&&&&&%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&''''''''''''$$$$$$$$$$$$%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%$$$$$$!!!""""""###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&'''### &&&)))'''###&&&&&&&&&'''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''%%%&&&&&&'''&&&&&&%%%$$$############$$$$$$$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%%%%$$$$$$##################"""""""""###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$###############%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###############$$$$$$$$$$$$%%%%%%%%%###$$$%%%$$$"""""""""$$$"""###$$$$$$&&&&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$##################$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&''''''$$$$$$###$$$$$$%%%&&&'''$$$$$$###############"""############$$$%%%&&&'''$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%'''%%%$$$######$$$'''(((%%%%%%%%%%%%$$$$$$$$$$$$'''%%%$$$$$$%%%%%%$$$"""&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&'''''''''$$$%%%%%%%%%&&&&&&&&&&&&(((''''''''''''&&&&&&&&&&&&&&&'''''''''((((((((())))))))))))************)))***+++++++++---000333===888222,,,******---000000000///...------......---...//////111555:::>>>DDDLLLYYYdddppp~~~$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%$$$$$$###""" ########################!!!"""$$$%%%%%%$$$"""!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&$$$$$$%%%(((******&&&###$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&''''''''''''%%%%%%&&&&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%%%%"""!!!###'''***(((%%%&&&''''''''''''&&&%%%%%%%%%$$$$$$$$$$$$############$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$######"""""""""$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%$$$###"""###$$$&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""###$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%&&&$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%&&&'''%%%%%%%%%$$$$$$#########$$$###"""###%%%&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&(((''''''''''''&&&&&&&&&&&&&&&&&&&&&'''''''''(((((()))))))))***************,,,------------///111666444000+++)))***...111222111000//////......///...///000111222555:::===CCCKKKVVVaaalll|||$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&########################"""###$$$%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&((()))(((%%%###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((()))((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%$$$#########&&&&&&''''''&&&&&&'''(((((((((((((((((('''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%$$$###&&&$$$"""!!!!!!"""%%%&&&###$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$######""""""$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$###"""###$$$&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%######$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%$$$###"""!!!#########$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&&&&%%%$$$###%%%%%%%%%$$$$$$#########!!!!!!!!!###%%%'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''(((((('''&&&%%%$$$$$$###%%%&&&&&&&&&&&&'''''''''(((''''''''''''&&&&&&&&&&&&&&&&&&&&&'''''''''(((((()))))))))***************+++---,,,+++***+++,,,111222111///,,,+++,,,...000///......------------111222333333333555888;;;CCCJJJUUU___kkk{{{$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&$$$$$$%%%$$$###!!!###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%''''''''''''%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%&&&'''###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$#########$$$&&&''''''&&&$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''$$$$$$%%%%%%&&&&&&''''''###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$###"""$$$$$$$$$$$$%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$%%%%%%(((((('''&&&%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&%%%$$$#########%%%'''((('''%%%$$$%%%'''(((((())))))(((((('''&&&$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$######%%%###!!!"""%%%'''$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%&&&###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$#########%%%%%%%%%$$$$$$$$$$$$##################$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###"""###$$$$$$###"""$$$%%%"""###$$$$$$&&&&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""$$$$$$############$$$$$$######$$$$$$$$$$$$######%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&$$$###!!! #########$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&###%%%&&&''''''&&&###"""%%%%%%%%%%%%$$$$$$$$$$$$"""!!!!!!###&&&((((((((($$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&'''((((((((('''&&&%%%$$$$$$###&&&&&&&&&&&&''''''''''''(((''''''''''''&&&&&&&&&&&&&&&'''''''''((((((((())))))))))))************(((***+++***)))((()))+++111444666444///+++***+++,,,+++++++++++++++,,,,,,222222333333333444666999BBBIIITTT___kkkzzz$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$### """"""#########$$$$$$$$$$$$###"""!!!!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&''''''&&&$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&''''''######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%###$$$%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&&&&"""######$$$$$$$$$$$$$$$#########$$$$$$$$$$$$%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$#########$$$%%%((((((''''''&&&&&&%%%%%%''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&'''(((''''''''''''((((((''''''&&&%%%$$$$$$%%%&&&'''(((((()))'''&&&%%%$$$$$$$$$%%%&&&$$$###"""!!!"""###%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###$$$&&&'''###$$$$$$%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$######""""""#########$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######!!!###$$$$$$######$$$%%%"""###$$$$$$&&&&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$######$$$$$$%%%"""###$$$%%%%%%$$$###"""######$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$###"""$$$$$$$$$$$$############$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$###$$$&&&((('''&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%&&&&&&&&&&&&(((''''''''''''&&&&&&&&&''''''((((((((()))))))))))))))))))))************'''((()))))))))***,,,...---111444333...******++++++++++++++++++,,,---......///111111111333555888???GGGSSS^^^jjjyyy$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$#########"""###%%%&&&'''&&&$$$###""""""######$$$$$$$$$$$$$$$###  ###$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%&&&&&&%%%###"""$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''(((#########$$$$$$%%%%%%%%%""""""###$$$%%%&&&&&&'''###$$$$$$$$$""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""###$$$%%%&&&***)))((('''&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&& !!!"""###%%%%%%%%%%%%""""""#########$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))(((&&&%%%$$$%%%%%%&&&((((((((()))))))))))))))''''''''''''''''''''''''(((((('''''''''&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&#########$$$%%%&&&((()))((($$$"""%%%+++...+++(((&&&&&&''''''&&&&&&%%%$$$###$$$%%%&&&((()))******&&&%%%#########%%%''')))"""###$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""$$$&&&'''$$$$$$$$$%%%%%%$$$$$$$$$#########$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$#########""""""######$$$$$$$$$$$$#########$$$$$$%%%%%%%%%########################$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$#########!!!###$$$$$$######$$$&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&"""###$$$%%%%%%$$$""""""""""""######$$$$$$$$$$$$!!!"""$$$%%%&&&&&&%%%%%%%%%$$$$$$$$$######""""""#########$$$$$$%%%%%%%%%((('''%%%######$$$%%%&&&%%%%%%%%%&&&&&&'''''''''((('''%%%&&&''''''%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%$$$%%%&&&'''(((######$$$%%%'''(((((()))######$$$$$$$$$%%%%%%%%%(((((('''''''''&&&&&&&&&(((((((((((())))))))))))))))))))))))************&&&'''((()))***,,,000333'''+++//////+++)))+++///---------...///000111222***,,,...///000222555888===FFFRRR^^^iiixxx#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$###"""!!!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$%%%%%%&&&&&&&&&!!!!!! !!!"""###"""###$$$%%%%%%%%%%%%%%%""""""""""""""""""""""""$$$"""###%%%%%%$$$$$$%%%###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!"""#########$$$######$$$%%%%%%###"""!!!%%%%%%%%%$$$$$$#########%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$###""""""########################$$$$$$$$$$$$$$$$$$$$$$$$###########################""""""!!!"""###%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&'''&&&&&&%%%%%%''''''''''''''''''''''''%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%&&&&&&''''''((($$$$$$%%%&&&&&&''''''(((%%%$$$######$$$&&&'''((()))(((&&&%%%%%%&&&'''(((''''''''''''&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###%%%&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########%%%%%%%%%$$$$$$#########%%%%%%%%%$$$$$$############$$$$$$%%%%%%$$$$$$###!!!""""""$$$%%%&&&''''''%%%%%%%%%$$$$$$#########$$$######"""###$$$&&&'''$$$$$$$$$#########""""""""""""""""""""""""""""""%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$#########"""""" !!!###%%%%%%###!!! """###$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""############$$$%%%&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%%%%%%%%%%$$$$$$''''''&&&%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%$$$$$$ !!!###$$$%%%%%%%%%$$$""""""###$$$$$$$$$$$$###'''&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''((()))))))))&&&$$$$$$&&&&&&$$$!!!%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&%%%&&&'''((())))))((('''''''''(((***+++))))))***))))))((('''&&&******+++,,,,,,+++)))(((000---******,,,,,,)))&&&)))***+++,,,...///000111111222333333333444777:::???EEEOOOZZZhhhyyy######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$###""""""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$############$$$$$$$$$$$$$$$$$$###$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%########################%%%$$$$$$%%%&&&%%%&&&'''$$$%%%&&&%%%#########%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$######%%%%%%%%%$$$$$$$$$######%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$######"""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$)))(((&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$%%%'''''')))(((&&&%%%%%%&&&'''(((''''''''''''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%$$$$$$$$$$$$%%%######$$$%%%&&&&&&%%%""""""""""""""""""""""""%%%%%%%%%$$$$$$$$$######%%%%%%%%%$$$$$$$$$######%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######&&&%%%$$$#########$$$%%%$$$$$$$$$#########""""""########################$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%$$$$$$######"""###$$$%%%%%%$$$###""""""###$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''&&&&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&''''''&&&%%%%%%!!!"""###$$$%%%%%%$$$$$$""""""###$$$$$$$$$$$$$$$''''''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''((('''%%%$$$%%%&&&'''%%%###%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%&&&'''((())))))(((((('''((()))***+++((())))))))))))(((((('''))))))***+++,,,,,,,,,+++...,,,++++++---...,,,******+++++++++,,,---------000111222222222444777999>>>DDDMMMYYYfffwww###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$##################$$$%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""###$$$$$$$$$$$$%%%&&&%%%###"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%***)))'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''(((((('''&&&&&&%%%$$$$$$(((((('''&&&&&&%%%$$$$$$%%%%%%$$$$$$$$$%%%&&&&&&((('''&&&%%%%%%&&&'''(((''''''(((''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&%%%%%%$$$$$$&&&%%%$$$%%%&&&'''&&&%%%""""""""""""""""""""""""%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%%%%$$$$$$###'''&&&&&&%%%$$$###""""""%%%%%%%%%$$$$$$$$$$$$###'''&&&%%%$$$############$$$$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$################################################&&&&&&&&&%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%$$$###"""######$$$$$$$$$$$$######"""######$$$&&&''''''(((&&&&&&%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$$$$$$$###"""######$$$$$$$$$$$$$$$)))((('''%%%$$$###""""""$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$&&&'''((('''%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((((((((((((((((()))******'''(((((())))))))))))((((((((())))))***,,,---...+++******+++,,,------,,,++++++++++++++++++++++++000111222222222333666999<<>>HHHRRR___ooo%%%%%%%%%$$$$$$############$$$%%%%%%&&&&&&&&&&&&###########################$$$%%%&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%""""""######$$$$$$$$$%%%!!!!!! !!!!!!"""###&&&&&&&&&%%%$$$###"""!!!$$$$$$$$$$$$$$$$$$$$$$$$!!!&&&$$$%%%(((###!!!"""$$$$$$$$$$$$&&&((($$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$%%%&&&'''&&&%%%$$$############$$$$$$%%%%%%%%%###$$$%%%&&&&&&%%%$$$###########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################!!!$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''(((''''''&&&&&&%%%%%%$$$(((''''''&&&&&&%%%%%%$$$%%%&&&(((+++------------$$$%%%&&&'''(((((((((((())))))))))))((('''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%###""""""!!!&&&%%%$$$$$$$$$%%%###"""%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$%%%&&&&&&%%%$$$"""!!!""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$################################################$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%'''(((((('''%%%$$$%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$###"""!!!######$$$$$$$$$$$$############$$$%%%&&&&&&'''(((##################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###""""""###$$$%%%$$$$$$######$$$&&&''')))###$$$%%%%%%&&&&&&%%%%%%!!!!!!!!!!!!"""###$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''((())))))###&&&&&&&&&''')))######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%&&&''''''%%%%%%'''((((((((('''&&&&&&''')))*********)))((())))))***))))))(((''''''&&&(((***+++,,,,,,,,,+++&&&))),,,,,,******---000------,,,,,,+++***))))))---.../////////111444666777===FFFPPP]]]mmm~~~$$$$$$$$$$$$$$$$$$$$$$$$'''%%%###!!! !!!"""""" !!!$$$''''''%%%$$$$$$$$$######"""""""""$$$$$$$$$%%%&&&'''))))))'''&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$###""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%########################&&&&&&%%%$$$############$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$##############################%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$######$$$$$$%%%%%%$$$$$$###########################%%%$$$#########$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&(((((((((&&&$$$""" !!!############%%%''''''&&&%%%%%%$$$$$$$$$$$$%%%%%%'''((())))))))))))%%%%%%%%%&&&&&&((()))***((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%###!!!!!!###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$######$$$%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$%%%$$$######%%%%%%$$$#########$$$$$$$$$######"""###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$######"""""""""$$$$$$$$$$$$$$$$$$$$$$$$!!!###%%%&&&&&&%%%###############$$$%%%&&&'''(((&&&$$$######%%%&&&&&&&&&'''&&&&&&%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&$$$$$$(((&&&$$$######%%%(((***%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&'''(((((()))))))))'''''''''''''''''''''''''''((()))))))))(((&&&%%%***+++***)))&&&&&&'''(((((()))))))))************))))))*********+++++++++++++++++++++,,,---......///000000000000111444666<<<@@@GGGPPP\\\lll}}}$$$$$$$$$$$$$$$$$$$$$$$$)))(((&&&$$$######$$$%%%)))'''$$$###%%%%%%###!!!&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&'''((()))'''&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$##############################%%%%%%$$$$$$###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$""""""############""""""########################$$$$$$#########$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&%%%$$$"""$$$%%%$$$######$$$%%%'''&&&%%%%%%$$$$$$%%%%%%$$$%%%&&&'''((((((((((((%%%%%%%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%(((&&&$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###""""""###$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$%%%%%%$$$######%%%%%%$$$#########$$$$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%#########%%%&&&&&&%%%$$$$$$$$$$$$$$$%%%&&&'''&&&$$$###$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$&&&&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$))))))******)))(((&&&%%%'''&&&%%%$$$$$$&&&''')))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$''''''''''''''''''''''''&&&&&&'''((()))))))))((()))***++++++***+++,,,...)))))))))))))))******+++******++++++,,,,,,,,,,,,++++++++++++,,,---......///000000000000111444666:::???FFFOOOZZZjjj{{{$$$$$$$$$$$$$$$$$$$$$$$$)))(((&&&%%%$$$%%%&&&&&&---***'''&&&%%%$$$"""!!!&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%'''((()))&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%$$$#########$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$##############################%%%$$$$$$###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######%%%%%%&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%&&&'''&&&$$$###$$$%%%'''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((((((((&&&&&&&&&%%%&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%+++)))&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######"""!!!!!!"""######%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$######%%%%%%$$$#########$$$$$$$$$$$$$$$######$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$""""""###%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&%%%$$$###$$$&&&'''&&&%%%$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$###$$$%%%&&&%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&$$$######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$########################&&&&&&''''''&&&$$$###"""%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%$$$######"""!!!!!!''''''''''''''''''''''''&&&&&&&&&'''((()))++++++&&&'''))))))((((((***,,,***)))((((((((()))+++,,,+++,,,,,,,,,,,,---------++++++++++++,,,---......//////000000///111333666888===DDDMMMYYYhhhyyy$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$#########$$$$$$((('''&&&%%%%%%%%%%%%%%%########################$$$$$$$$$$$$%%%&&&'''(((&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%####################################$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$##############################$$$$$$######$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$ """###$$$%%%$$$###"""%%%%%%$$$$$$$$$$$$$$$###"""###$$$$$$%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&''''''%%%&&&''''''%%%$$$%%%''''''&&&&&&%%%%%%%%%&&&&&&&&&'''(((((()))))))))(((((((((''''''&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&)))(((&&&&&&''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$#########""""""#########$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$######%%%%%%$$$#########$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&(((&&&"""!!!###%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$###%%%&&&'''&&&$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###$$$%%%%%%%%%##################$$$$$$$$$&&&$$$######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%$$$###"""$$$%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$''''''''''''''''''''''''(((''''''&&&''')))+++,,,'''((()))((('''%%%&&&'''***)))((('''((()))+++,,,+++,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,---.........///000//////000333555777<<>>IIITTT```ppp~~~######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%&&&''''''%%%###$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%!!!""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%&&&&&&%%%###%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$###""""""###$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$######"""$$$%%%&&&%%%$$$###$$$%%%%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&''''''''')))'''&&&&&&'''((((((''''''''''''(((((('''''''''&&&&&&&&&&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$"""###############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%############$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%$$$###$$$%%%&&&%%%$$$&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%$$$###%%%(((++++++'''###'''&&&%%%$$$$$$%%%&&&'''&&&%%%$$$######$$$%%%&&&&&&%%%$$$#########$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%$$$$$$###$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$############$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%###$$$%%%'''###$$$$$$%%%%%%%%%%%%$$$'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%%%%&&&&&&&&&(((((('''((()))***(((&&&&&&&&&'''(((((((((((('''''''''((()))***+++,,,,,,,,,+++***))))))((())))))++++++************++++++)))***+++,,,,,,,,,++++++......---...///111333444444666===GGGRRR^^^nnn{{{######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$%%%%%%%%%###!!!######$$$%%%%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&'''''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$######"""######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% !!!"""$$$%%%%%%&&&&&&$$$%%%&&&%%%$$$###$$$%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%$$$$$$$$$######''''''''''''(((((((((((()))(((&&&&&&'''((())))))''''''((((((((((((''''''&&&&&&%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$$$$&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#####################$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###$$$&&&&&&&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%###"""$$$)))......'''!!!$$$######""""""######$$$%%%$$$$$$######$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%###$$$$$$%%%&&&&&&%%%%%%#########$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%%%%$$$$$$&&&'''((('''%%%$$$%%%&&&$$$$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&'''''')))(((((()))******)))'''&&&&&&'''((((((((((((((('''(((((()))******++++++))))))((((((((())))))***++++++************++++++,,,,,,---------.........---------...///111333444555666<<>>EEENNN]]]lll|||###$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&###%%%'''))))))(((&&&%%%''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&''''''&&&$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$######$$$%%%%%%######$$$$$$$$$%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%###$$$%%%&&&&&&%%%$$$#########$$$%%%%%%%%%$$$$$$###$$$%%%''''''&&&&&&%%%$$$$$$#########"""""""""######$$$%%%%%%%%%%%%$$$$$$$$$######$$$$$$%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$###!!!###%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%""" !!!###%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''((('''''''''&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%%%%$$$'''%%%###!!!!!!###%%%'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%&&&&&&%%%$$$######""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$&&&&&&%%%##################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%%%%$$$###$$$&&&########################%%%$$$###""""""###$$$%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''$$$%%%%%%%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''''''''''''''&&&&&&'''((())))))((('''&&&%%%&&&'''((())))))))))))((((((((()))))))))******''''''((()))************((()))******++++++******&&&(((+++,,,,,,---...///---.........//////000000111333777>>>DDDMMM\\\kkkzzz######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%&&&'''(((###%%%'''******(((&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&'''((('''%%%$$$############"""###$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%"""###%%%&&&&&&%%%###"""$$$$$$######$$$$$$%%%&&&###$$$%%%&&&'''&&&%%%%%%%%%$$$$$$$$$##################$$$%%%%%%%%%%%%$$$######$$$%%%%%%%%%%%%$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$%%%$$$######""" $$$&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$%%%&&&$$$$$$%%%%%%$$$$$$%%%'''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&&&&'''$$$$$$$$$%%%&&&'''((()))(((''''''&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%&&&&&&&&&&&&&&&"""###$$$%%%&&&%%%%%%$$$%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%""""""#########$$$$$$$$$&&&%%%%%%$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$&&&&&&%%%###""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%%%%$$$###%%%&&&############################################################$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''(((%%%&&&&&&&&&%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''######$$$$$$%%%&&&&&&&&&'''(((((())))))(((((('''&&&&&&&&&''''''&&&&&&&&&%%%&&&'''((())))))))))))(((((()))))))))*********'''((()))***++++++++++++)))))))))))))))***++++++)))))))))+++---...---+++,,,------...///000111111222333888>>>DDDMMM\\\jjjyyy#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$###"""###$$$&&&'''###%%%(((******)))&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&(((((('''&&&%%%"""""""""!!! !!!###&&&######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%"""###%%%&&&&&&%%%###"""$$$$$$###"""###$$$&&&'''###$$$%%%&&&'''&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$#########$$$%%%%%%%%%%%%$$$"""###$$$%%%&&&%%%$$$$$$%%%$$$$$$######$$$$$$%%%###$$$$$$$$$$$$###""""""###&&&&&&$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$ !!!"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$&&&'''!!!$$$'''&&&"""%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''######$$$%%%&&&((()))***(((((('''&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&&&&''''''&&&&&&"""###$$$%%%&&&%%%%%%$$$###$$$%%%%%%%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% !!!!!!"""""""""###((('''&&&&&&%%%%%%&&&&&&########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$&&&&&&%%%###""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%%%%$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$$$$$$$###"""!!!!!!""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''(((######$$$%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''' !!!"""###%%%&&&'''((((((((())))))))))))((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((())))))))))))))))))))))))************(((((()))++++++,,,,,,,,,***)))((((((((()))+++,,,+++***)))+++......+++(((,,,,,,---...///000111222333444888>>>DDDMMM\\\jjjxxx"""###$$$%%%&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$###(((&&&$$$"""!!!###$$$&&&######%%%&&&&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###&&&)))(((%%%""""""$$$$$$%%%'''&&&###$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%'''(((((('''%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$######$$$%%%&&&'''''''''&&&%%%'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&''''''&&&%%%###"""######$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$"""###%%%&&&%%%"""$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$######$$$%%%%%%"""###$$$%%%%%%$$$###"""###$$$$$$%%%%%%$$$$$$###"""$$$&&&&&&%%%######$$$&&&'''''''''&&&%%%%%%$$$!!!!!!"""###$$$&&&'''((()))(((((('''&&&&&&%%%%%%(((((('''&&&&&&%%%$$$$$$'''&&&$$$###"""###$$$$$$+++***)))(((&&&$$$######$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$######### !!!"""$$$&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''%%%$$$$$$%%%&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###"""""""""########################"""$$$&&&&&&$$$"""""""""###$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%############$$$%%%&&&&&&%%%%%%%%%$$$$$$#########%%%###""""""$$$$$$###!!!######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$######""""""#########$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$'''&&&$$$#########$$$$$$))))))((('''&&&%%%$$$###"""$$$&&&&&&%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''')))***+++++++++)))((('''---......,,,((((((+++///...//////......///111444666555777>>>EEELLLWWWbbbwww"""###$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$$$$######%%%&&&'''((()))(((((('''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%''''''%%%$$$$$$$$$"""$$$&&&((('''%%%""" $$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&((((((&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%$$$$$$###$$$%%%&&&'''''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$#########$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$"""###%%%&&&%%%###$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$######$$$%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$###"""$$$&&&&&&%%%######$$$%%%%%%&&&&&&%%%$$$$$$#########$$$$$$%%%&&&((((((''''''''''''''''''''''''&&&&&&%%%%%%$$$######"""'''&&&%%%$$$######$$$%%%'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%$$$$$$#########"""%%%%%%%%%$$$$$$#########'''%%%$$$$$$%%%&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$%%%%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$%%%########################"""$$$%%%%%%###""""""######$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$######""""""""""""##################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$#########"""######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%$$$#########$$$$$$###############""""""""""""$$$&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&&&&&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((*********++++++*********************))))))))))))******++++++******)))((()))+++,,,,,,+++++++++,,,,,,---......---...000222333222555;;;AAAJJJYYYfffuuu######$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$$$$###$$$%%%&&&&&&$$$###"""###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######%%%&&&&&&%%%$$$###$$$&&&'''((((((''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''&&&%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&$$$""" !!!###&&&'''&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$######$$$$$$%%%&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$######%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%&&&###$$$$$$%%%%%%$$$$$$###"""$$$&&&&&&$$$###$$$$$$$$$$$$%%%%%%$$$$$$######&&&%%%%%%%%%&&&&&&'''(((%%%%%%&&&&&&'''((())))))&&&&&&%%%%%%$$$#########&&&&&&%%%$$$$$$$$$%%%%%%###$$$$$$%%%%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###''''''&&&%%%$$$###""""""'''&&&%%%%%%######"""!!!&&&%%%$$$$$$&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$$$$########################$$$$$$%%%$$$"""!!!###$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$### """######""""""$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###############$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%$$$#########$$$$$$######$$$$$$%%%%%%&&&&&&###$$$&&&&&&%%%$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&)))(((&&&%%%%%%&&&((()))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((******++++++++++++******))))))))))))************,,,,,,+++************+++((((((***,,,......,,,******,,,...///......///000444444777:::===FFFWWWgggsss$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$######"""""""""###############$$$$$$$$$$$$$$$$$$$$$$$$$$$"""!!!###&&&(((&&&$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%$$$"""""""""###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%"""#########$$$%%%&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&###$$$$$$%%%%%%$$$$$$######$$$%%%%%%$$$###$$$%%%$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&'''(((((((((((((((''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%$$$$$$%%%&&&'''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%###"""!!!!!!########################%%%%%%$$$###!!!!!!###%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$############$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%%%%###"""$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&###%%%&&&&&&%%%$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''')))(((&&&$$$$$$&&&((()))''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((('''((())))))))))))((('''''''''''''''((((((((((((---,,,+++*********,,,,,,,,,***)))+++//////,,,)))***,,,///000///...//////777999===??????DDDTTTdddqqq%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%'''&&&$$$""""""###$$$%%%%%%%%%%%%%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$!!! """&&&((('''%%%&&&%%%%%%$$$###"""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#################################$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%!!!"""###$$$%%%&&&&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###""""""###$$$%%%###$$$$$$%%%%%%$$$$$$######$$$%%%%%%######$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%&&&%%%%%%$$$$$$$$$$$$$$$''''''''''''''''''''''''((((((''''''''''''&&&&&&$$$%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$&&&'''((()))%%%%%%%%%&&&&&&'''''''''$$$###$$$%%%''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%$$$###"""!!!########################%%%%%%$$$###!!!!!!###%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$############$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&$$$###$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############""""""""""""$$$%%%'''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''')))(((&&&%%%%%%&&&((()))''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''(((((((((((('''((()))******)))((('''&&&'''''''''((((((((())),,,,,,*********+++,,,---000---******---...---++++++---000111000000000000666:::@@@DDDCCCFFFTTTbbbppp&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$%%%%%%%%%%%%(((&&&###!!!!!!"""%%%&&&###############$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!"""$$$&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$######""""""###%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#################################$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&'''&&&%%%$$$!!!"""###$$$%%%&&&&&&%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$###$$$$$$%%%%%%$$$$$$###$$$######""""""######$$$###$$$$$$%%%%%%$$$$$$###$$$%%%%%%$$$######$$$&&&%%%%%%&&&'''''''''&&&&&&%%%%%%$$$#########$$$$$$''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%###$$$$$$$$$%%%%%%%%%&&&!!!"""######%%%&&&&&&'''######$$$%%%'''(((&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&&&&&&&########################$$$$$$%%%$$$"""!!!###$$$###$$$$$$%%%%%%$$$$$$######$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%'''%%%$$$$$$%%%&&&$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&######$$$%%%%%%%%%$$$$$$&&&&&&%%%%%%$$$$$$$$$###$$$&&&'''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((''''''''''''(((((((((((((((***+++,,,,,,+++***((((((((())))))******+++++++++************+++,,,,,,///,,,***)))+++---......,,,...000111000000111222111555<<>>HHHSSSfffrrr###$$$%%%$$$######$$$%%%(((''''''&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########'''&&&&&&%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$######&&&&&&&&&%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&'''&&&%%%$$$$$$$$$$$$$$$$$$%%%'''(((((('''&&&$$$&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%&&&&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%&&&&&&&&&&&&%%%%%%######$$$%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%&&&''''''((())))))******&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&!!! %%%&&&%%%((('''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$%%%%%%&&&&&&&&&$$$######""""""######$$$$$$$$$$$$%%%%%%%%%%%%&&&'''''''''''''''&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$%%%&&&%%%%%%#########$$$%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$############$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$###!!!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&''''''&&&%%%$$$###$$$$$$%%%%%%$$$$$$### $$$&&&%%%$$$######&&&'''((())))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((((('''''''''&&&&&&%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&######%%%'''((())))))***(((((((((((((((((((((((((((((())))))))))))(((((('''((((((((()))))))))***)))))))))))))))******++++++++++++,,,,,,------------...//////......///111//////222777:::>>>HHHRRRcccppp###$$$&&&%%%$$$###$$$%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&'''"""############"""""""""&&&&&&&&&%%%%%%%%%$$$$$$'''&&&&&&%%%%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&'''&&&&&&%%%$$$$$$$$$%%%$$$%%%&&&((((((&&&$$$###%%%%%%$$$$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%###$$$$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$""""""###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%&&&&&&&&&''''''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&'''"""$$$))))))'''''''''&&&%%%%%%%%%%%%&&&$$$%%%%%%%%%%%%$$$$$$###%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########################$$$$$$%%%%%%&&&&&&'''$$$######""""""######$$$############$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&######$$$$$$$$$$$$###"""$$$$$$######$$$$$$%%%&&&&&&%%%$$$#########%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$############$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$############$$$$$$$$$$$$%%%&&&&&&%%%###""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&%%%$$$######$$$$$$%%%%%%$$$$$$###!!!$$$(((******(((((((((%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&'''(((((())))))(((((((((((((((((((((((((((((())))))))))))(((((((((((((((((())))))))))))((()))))))))************+++++++++,,,,,,------------...//////......///111111000222666999===GGGQQQaaannn###%%%''''''%%%$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""######$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&'''%%%'''((((((&&&%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$######$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%&&&'''&&&%%%$$$###$$$$$$#########$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$######"""###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$$$$######$$$$$$$$$$$$######"""!!!$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&,,,((($$$###%%%&&&&&&$$$&&&&&&%%%$$$$$$$$$$$$%%%###$$$$$$%%%%%%$$$$$$###'''&&&&&&%%%$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&""""""#########$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%""""""###$$$$$$$$$##################$$$$$$$$$$$$%%%%%%$$$"""!!!!!!$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$''')))+++***)))((()))%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))(((((('''&&&$$$$$$(((((((((((((((((((((((((((((())))))))))))(((((((((((((((((())))))))))))(((((()))************)))+++,,,,,,,,,,,,,,,,,,------...//////......///111222000111444777;;;FFFQQQ___lll~~~$$$&&&(((((('''%%%%%%&&&"""######$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$%%%&&&&&&'''***++++++((('''''')))$$$$$$%%%%%%&&&'''''''''&&&%%%#########%%%&&&((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%&&&'''(((''''''''''''&&&&&&&&&%%%$$$$$$######$$$%%%%%%&&&########################"""###$$$%%%%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$$$$######$$$$$$$$$%%%%%%$$$######$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%&&&&&&$$$###############%%%%%%$$$############$$$$$$$$$%%%%%%%%%%%%%%%$$$&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&#########$$$$$$$$$%%%%%%###$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&%%%%%%$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%$$$###"""#########$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%"""###$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&"""###%%%$$$""""""$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%###%%%'''&&&%%%$$$%%%&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&******)))((('''%%%###"""(((((((((((((((((((((((((((((())))))))))))(((((())))))))))))(((((((((((('''((()))***+++******)))---,,,,,,,,,,,,,,,,,,+++---...//////......///111222///...000222888DDDOOO]]]jjj}}}$$$'''))))))(((&&&&&&'''###$$$%%%&&&''''''((()))########################$$$$$$$$$%%%%%%&&&&&&&&&########################&&&&&&%%%$$$$$$#####################$$$$$$%%%&&&###%%%'''&&&###!!!"""$$$###$$$$$$%%%&&&'''((((((((('''%%%%%%%%%''')))***$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$%%%&&&'''((()))***)))((('''''''''''''''$$$$$$$$$$$$%%%%%%&&&'''########################"""###$$$%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$######%%%&&&((()))***+++$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%&&&&&&$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$### !!!###%%%&&&((((((((($$$$$$%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&%%%$$$$$$$$$ """$$$%%%$$$%%%&&&(((%%%$$$######""""""######%%%%%%&&&''''''&&&&&&&&&$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$##################$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&&&&&&&%%%%%%$$$###$$$$$$######$$$$$$%%%&&&$$$%%%%%%&&&%%%$$$###!!!""""""#########$$$$$$$$$#########$$$$$$%%%%%%%%%############$$$%%%&&&&&&#########$$$$$$%%%%%%%%%"""###%%%&&&'''&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''"""%%%&&&$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$%%%&&&((()))%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&$$$$$$$$$&&&((('''&&&%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''$$$%%%&&&&&&'''''''''&&&''''''''''''''''''''''''(((((((((((('''&&&%%%$$$(((((((((((((((((((((((((((((())))))))))))(((((())))))))))))(((((((((((('''((()))++++++******)))---------,,,,,,+++++++++---...//////......///111111...,,,---///555BBBNNN\\\jjj|||$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!%%%)))((($$$"""$$$&&&$$$$$$############$$$$$$(((((('''&&&&&&&&&&&&'''%%%%%%%%%$$$$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&(((&&&%%%###""""""######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########&&&%%%%%%$$$#########$$$)))***+++,,,+++)))&&&$$$***(((%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$#########&&&&&&%%%%%%$$$###""""""!!!""""""$$$%%%&&&'''''')))(((&&&%%%$$$%%%&&&&&&%%%$$$$$$$$$%%%&&&&&&'''&&&&&&%%%$$$$$$$$$$$$%%%$$$$$$#########$$$%%%%%%&&&&&&&&&''''''''''''(((''')))***'''$$$"""$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%***(((&&&$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''&&&%%%$$$#########$$$%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%)))(((&&&%%%$$$%%%%%%&&&!!!###%%%((((((((('''&&&%%%%%%$$$$$$$$$$$$############$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&$$$######$$$&&&'''&&&%%%%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%&&&'''))))))'''%%%"""""""""######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$######$$$%%%&&&&&&&&&%%%$$$###&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%###""""""%%%'''&&&&&&&&&%%%%%%$$$$$$$$$"""###$$$%%%&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%$$$##################$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&(((((((((((('''$$$%%%%%%&&&'''''''''&&&$$$%%%'''(((((('''%%%$$$&&&&&&%%%$$$$$$$$$%%%%%%''''''''''''''''''''''''%%%&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&(((''''''&&&&&&&&&''''''"""'''++++++&&&###$$$'''(((((((((((())))))))))))***************+++++++++***((('''))),,,...---+++)))+++............000111......000444666999BBBKKK]]]iii{{{$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!%%%(((((($$$"""$$$&&&%%%%%%$$$$$$$$$$$$%%%%%%'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&'''&&&%%%###############$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######&&&%%%$$$$$$######$$$$$$%%%'''))),,,...///000000...***&&&$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""!!!!!!!!! $$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$###############$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&'''''''''''''''''''''%%%######$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###!!!!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%######$$$$$$$$$%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%&&&%%%$$$#########$$$$$$###$$$%%%'''''''''&&&&&&''''''&&&&&&&&&&&&%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$$$$$$$%%%&&&&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$&&&((((((&&&$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$((('''&&&%%%$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$######$$$&&&&&&&&&&&&%%%%%%$$$$$$$$$"""###$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%######$$$%%%&&&''''''((($$$%%%'''((())))))))))))$$$%%%&&&&&&''''''&&&&&&%%%&&&'''((((((&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$(((((('''''''''&&&&&&&&&(((''''''&&&&&&'''''''''%%%(((++++++)))((()))***(((((((((((())))))))))))((())))))***+++,,,------***((('''(((***+++***(((***,,,///000//////111222......000444666999AAAKKK[[[hhhzzz$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""%%%''''''$$$"""$$$&&&&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$###############%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$############$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%$$$$$$######$$$$$$###$$$'''***...333777999333...)))%%%$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%$$$###""""""######$$$$$$$$$###""""""$$$############$$$%%%%%%%%%%%%%%%%%%&&&'''((()))))))))((('''&&&&&&&&&'''&&&&&&&&&&&&''''''''''''(((%%%###"""###%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######"""!!!"""###%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&%%%$$$$$$$$$%%%&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$############$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$&&&&&&%%%$$$''''''(((((('''&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$$$$######((('''&&&%%%%%%&&&((()))$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%%%%%%%%%%$$$$$$###%%%&&&&&&$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$######$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&######$$$%%%&&&'''((((((%%%%%%'''(((******+++***%%%%%%&&&&&&''''''&&&&&&&&&&&&'''((('''&&&$$$######$$$%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%$$$###""""""'''''''''''''''&&&&&&&&&(((''''''&&&''''''(((((((((((())))))******++++++(((((((((((())))))))))))'''((()))***+++,,,---...,,,+++)))***++++++)))(((,,,...000111000000111222......000333555888AAAJJJYYYfffxxx$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###%%%&&&%%%$$$###$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$###############%%%%%%%%%$$$$$$$$$#########$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%'''***000555888666111***&&&$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%%%%$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%'''&&&&&&%%%$$$###""""""$$$$$$&&&&&&&&&%%%$$$###$$$######"""######$$$$$$%%%%%%%%%&&&'''(((************((('''&&&&&&&&&&&&%%%%%%&&&&&&&&&''''''''''''$$$ ###&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$&&&((())),,,+++(((&&&$$$$$$%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&''''''&&&&&&%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$###############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%%%%%%%$$$###%%%%%%$$$$$$###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$&&&&&&%%%$$$$$$$$$&&&&&&&&&$$$###!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$######"""%%%$$$###$$$&&&***...111$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$"""$$$''''''&&&$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%&&&'''(((******+++%%%%%%&&&&&&'''&&&&&&%%%''''''''''''&&&%%%$$$###!!!###%%%'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$'''''''''''''''''''''''''''''''''''''''(((((())))))(((&&&&&&((())))))((((((((((((((())))))))))))''''''((()))******++++++...------------------,,,,,,...000000000///000222......000333555888@@@JJJXXXdddwww$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%$$$######$$$%%%$$$$$$############$$$$$$&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$###############$$$$$$$$$%%%%%%$$$%%%%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$###$$$$$$%%%%%%'''&&&%%%%%%(((---333666666111***&&&$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######"""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&''''''&&&%%%$$$$$$$$$######"""######$$$$$$$$$%%%&&&'''(((***+++)))((('''&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&### $$$''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$&&&((()))000...+++(((%%%$$$%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&###$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$###############$$$$$$$$$%%%%%%%%%"""""""""###############%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%$$$$$$###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$&&&'''&&&&&&"""###$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$######"""$$$$$$###$$$&&&***...111$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$###%%%''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%###$$$%%%&&&&&&&&&&&&%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&'''))))))%%%&&&&&&'''&&&&&&%%%%%%'''''''''&&&&&&%%%%%%$$$"""###&&&((()))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&''''''((((((&&&''''''''''''''''''''''''''''''''''''((()))***+++)))'''&&&'''((('''&&&(((((((((((())))))))))))((((((((((((((('''''''''+++,,,---------...///000+++---//////......///000///...///333555777???IIIWWWdddvvv$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$$$$######""""""######$$$''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$##################$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%%%%'''&&&%%%%%%)))...444777333...)))%%%$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%######$$$%%%%%%%%%$$$$$$%%%%%%$$$############$$$$$$$$$$$$%%%&&&((()))***''''''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$######%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$###"""!!! $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&'''///---+++(((&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&!!!"""######$$$######"""$$$$$$$$$$$$%%%%%%%%%%%%''''''&&&&&&&&&&&&%%%%%%######$$$$$$$$$%%%%%%%%%"""""""""###############%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$&&&''''''&&&######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$$$$######'''&&&%%%$$$%%%''')))***$$$$$$$$$$$$%%%&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%''''''%%%%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%%%%"""###%%%&&&'''&&&&&&%%%'''&&&&&&%%%%%%&&&&&&'''"""###$$$&&&''')))***+++$$$$$$$$$$$$%%%&&&'''(((&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((()))******&&&&&&&&&'''''''''''''''''''''''''''((()))******))))))))))))(((((((((((((((((((((((())))))))))))))))))(((((('''&&&&&&&&&''')))++++++++++++---///+++---...///...---...//////...///333444777???HHHUUUbbbuuu$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$""""""###$$$$$$$$$%%%$$$$$$######$$$$$$%%%''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$##################$$$$$$$$$$$$###$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&%%%$$$$$$'''+++000333...***&&&$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###%%%'''))))))((('''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&((((((&&&&&&%%%%%%%%%%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&###%%%''''''&&&%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######"""!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%(((((('''&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&'''""""""###$$$######!!!!!!"""###$$$%%%&&&&&&%%%$$$''''''&&&&&&&&&&&&%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###""""""###$$$%%%$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$""""""$$$&&&&&&%%%%%%$$$###""""""###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$######$$$&&&'''(((&&&&&&%%%%%%%%%%%%$$$$$$%%%&&&'''&&&$$$$$$&&&'''$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$!!!###%%%&&&''''''&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&"""###$$$&&&((()))***+++'''&&&%%%%%%%%%%%%&&&'''&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%&&&''''''(((&&&&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''(((((((((&&&&&&&&&'''''''''((((((''''''''''''((()))***+++"""&&&)))***((('''(((***(((((((((((())))))))))))))))))))))))))))))(((((((((***,,,+++***)))+++---,,,...000000///...///000///...///333444666>>>GGGSSS```sss$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$"""!!!"""$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$######"""############$$$$$$$$$"""###%%%%%%&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$#########$$$%%%%%%&&&&&&$$$###"""###&&&***,,,***(((%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!%%%'''(((&&&###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&#########$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$(((''''''&&&'''(((***+++'''&&&&&&%%%$$$$$$$$$%%%$$$$$$$$$$$$%%%&&&''''''&&&&&&%%%%%%%%%&&&''''''$$$$$$%%%%%%%%%&&&&&&&&&"""&&&)))***'''$$$$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''&&&%%%$$$###""""""###$$$%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&%%%$$$###""" !!!$$$&&&'''&&&%%%$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$"""!!!!!!"""$$$%%%$$$#########$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%###!!!!!!###$$$%%%$$$&&&$$$!!!!!!###%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$""""""###$$$%%%%%%&&&&&&$$$$$$######$$$&&&'''(((&&&&&&&&&%%%%%%%%%$$$$$$&&&'''&&&%%%$$$$$$&&&((($$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&%%%$$$$$$!!!"""%%%'''''''''&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&'''''''''(((((()))((('''&&&%%%&&&''''''&&&'''''''''&&&%%%%%%$$$$$$$$$$$$%%%&&&'''((()))(((((('''&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''''''''((((((''''''''''''((()))++++++ '''(((&&&%%%'''+++(((((((((((())))))))))))))))))******+++++++++,,,+++---///---+++)))+++------///111111000//////000///...///222444666>>>GGGQQQ^^^rrr&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%###""""""###%%%&&&&&&&&&%%%$$$$$$######"""%%%%%%$$$$$$###$$$$$$%%%!!!!!!!!!"""######$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&'''######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$#########$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%)))'''$$$$$$&&&&&&$$$!!!######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&'''((()))((('''%%%$$$###$$$$$$%%%######$$$%%%&&&(((((()))$$$$$$%%%%%%%%%$$$###"""""""""###$$$&&&'''(((((('''(((*********(((&&&%%%&&&%%%%%%'''(((&&&&&&'''((('''%%%$$$$$$%%%'''(((%%%$$$$$$###"""""""""###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''%%%###"""######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$!!!"""%%%&&&%%%%%%%%%$$$######$$$%%%%%%$$$$$$############$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$((('''&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""!!!!!!$$$$$$#########$$$&&&'''%%%&&&&&&&&&&&&%%%$$$###%%%%%%&&&&&&%%%%%%$$$######$$$&&&'''''''''&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&)))'''$$$###$$$%%%%%%$$$!!!###%%%&&&%%%$$$%%%'''###$$$%%%%%%&&&&&&%%%%%%***(((%%%$$$%%%&&&%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&''''''''',,,///,,,%%%"""&&&***''''''''''''''''''''''''))))))))))))((((((((((((+++'''%%%&&&+++,,,***'''''')))+++,,,***(((((())))))(((&&&&&&'''***---///......---+++******,,,---,,,,,,,,,,,,,,,---...//////------000222555<<>>HHHTTTfffxxx&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$!!!###$$$%%%%%%$$$###"""""""""""""""#########$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&((()))'''%%%###%%%&&&%%%%%%&&&&&&&&&'''''''''%%%$$$$$$$$$$$$%%%%%%&&&$$$%%%&&&&&&&&&%%%$$$###%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&'''((()))+++---...///444<<<>>>888555777222)))######$$$$$$$$$$$$#####################$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$ !!!"""$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&%%%$$$#########$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%&&&&&&'''###%%%'''&&&$$$######%%%###$$$%%%%%%%%%%%%$$$###%%%$$$$$$######$$$$$$%%%############$$$%%%&&&'''%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$&&&''')))+++,,,%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&''''''&&&&&&''''''((('''&&&%%%$$$!!!"""%%%''''''&&&$$$###%%%%%%&&&&&&%%%%%%$$$###$$$%%%&&&'''''''''&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$###%%%&&&$$$###%%%+++111777888777000'''"""###'''###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&''''''%%%###$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%%%%&&&'''&&&&&&'''''''''''''''''''''''''''''''''((()))*********'''((())))))(((((()))***)))******)))((((((***,,,))))))((('''(((***---...666111+++))),,,......,,,///...---,,,,,,,,,,,,,,,---,,,...222333333777===FFFRRRdddwww&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$############$$$$$$%%%&&&&&&"""###&&&((((((((('''&&&&&&&&&%%%%%%$$$#########$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&''''''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&############$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''')))***)))%%%###%%%&&&%%%%%%%%%&&&&&&&&&''''''###"""""""""###$$$%%%%%%%%%&&&&&&'''&&&%%%###"""%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%$$$###$$$%%%&&&((()))************+++---///222444666666===<<<333///111,,,###""""""############""""""###"""""""""###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$&&&&&&''''''""""""###$$$%%%%%%&&&&&&$$$%%%&&&''''''%%%###"""######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""###%%%&&&'''(((!!!$$$&&&&&&$$$"""###%%%###$$$%%%&&&&&&%%%$$$###&&&%%%%%%$$$$$$%%%%%%&&&############$$$%%%&&&'''&&&%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&!!!"""###&&&))),,,...000%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%'''((()))******(((((()))))))))(((&&&%%%!!!$$$''''''%%%###!!!%%%%%%&&&&&&&&&%%%$$$$$$###$$$&&&''''''''''''&&&$$$$$$&&&&&&&&&&&&$$$$$$"""$$$%%%###"""%%%---444>>>@@@???555(((!!!###((($$$$$$%%%&&&&&&&&&%%%%%%""""""###%%%''''''%%%###$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&&&&''''''(((''''''&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&''''''((()))******+++'''((())))))(((((()))******+++***)))'''''')))+++)))(((&&&&&&'''***---///:::444,,,***---//////...///...---,,,,,,,,,,,,,,,---,,,...222333333777<<>>>>><<<......---+++)))((('''&&&''''''''''''&&&%%%$$$###$$$$$$$$$######"""""""""&&&&&&$$$$$$$$$$$$&&&&&&!!!"""$$$&&&'''&&&$$$###$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%$$$#########$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""###%%%&&&'''((('''''''''(((((((((((()))$$$%%%&&&''''''&&&%%%$$$%%%&&&&&&''''''&&&&&&%%%###$$$%%%$$$"""!!!"""###+++)))''''''******(((&&&(((&&&$$$%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###!!!"""$$$&&&((()))333111...+++'''$$$###"""&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$######%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''((((((((('''$$$###%%%(((***)))'''&&&'''''''''''''''&&&&&&((('''&&&'''((((((&&&$$$'''&&&&&&&&&&&&%%%%%%%%%***)))'''&&&&&&'''((()))(((((((((((((((((((((((())))))***+++++++++++++++*********+++,,,,,,,,,---666333000...---,,,+++***..................------000...---000000111666===DDDPPPbbbuuu$$$%%%&&&&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""""""""############$$$%%%%%%%%%%%%$$$&&&%%%###""""""###%%%&&&"""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&%%%$$$###$$$%%%$$$%%%&&&&&&&&&%%%$$$###$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###%%%&&&%%%$$$&&&%%%$$$$$$$$$%%%&&&&&&%%%&&&&&&&&&%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$%%%&&&$$$$$$%%%%%%$$$$$$###"""%%%%%%$$$$$$%%%%%%&&&'''&&&&&&'''''''''%%%###""")))(((&&&%%%&&&%%%$$$###'''***111:::@@@???999333,,,++++++)))(((''''''&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$#########&&&%%%%%%$$$$$$%%%%%%&&&"""###$$$%%%&&&%%%%%%$$$!!!!!!"""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%$$$$$$&&&(((&&&%%%&&&)))***)))''''''&&&$$$$$$&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%***(((&&&&&&&&&(((((()))))))))((('''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&---,,,+++******(((&&&$$$&&&&&&''''''''''''&&&&&&###""""""$$$&&&&&&%%%###'''''''''((((((((())))))***((('''&&&&&&'''((()))))))))))))))))))))))))))((()))******++++++******)))))))))***************222///---,,,------,,,+++........................///------///000111666<<>>@@@;;;333---))))))((((((''''''((((((%%%%%%&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%%%%########################$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&'''((('''&&&%%%&&&'''%%%$$$$$$%%%((())))))((('''&&&$$$$$$&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%$$$###$$$$$$#########$$$%%%'''))))))&&&&&&%%%%%%%%%%%%$$$$$$&&&''''''''''''&&&%%%%%%''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%% ###&&&'''''''''(((&&&&&&''''''''''''&&&&&&!!! !!!###%%%&&&&&&$$$%%%%%%&&&'''((()))***+++)))((('''&&&&&&'''((()))************************'''((())))))******)))))))))))))))(((((((((((((((---,,,***+++,,,......---........................///------///000000555;;;BBBLLL\\\mmm~~~######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&(((((((((((('''&&&######$$$%%%%%%%%%%%%$$$%%%$$$$$$######$$$$$$%%%######$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&%%%$$$###$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###%%%&&&%%%$$$######$$$$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%""""""#########$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&########################$$$$$$$$$$$$$$$%%%%%%%%%((('''%%%$$$$$$%%%&&&'''%%%%%%$$$$$$%%%%%%&&&'''(((''''''''''''''''''((($$$'''---333777777444111)))///666:::999555000...((('''''''''''')))***+++))))))((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''((((((((('''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%&&&&&&%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&$$$###$$$%%%&&&''''''''''''%%%$$$$$$%%%&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""""""""$$$$$$###$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$''''''''''''&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%"""$$$%%%(((+++%%%%%%&&&'''''''''&&&&&&%%%$$$$$$&&&((()))(((&&&$$$$$$%%%%%%&&&''''''((((((''''''''''''((())))))))))))))))))))))))))))))''''''((()))))))))))))))******))))))(((((('''''',,,+++***+++---......------------...............000......111111111555;;;BBBKKKYYYiii{{{############$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%% """%%%&&&%%%!!!######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&%%%$$$###$$$$$$######$$$$$$%%%&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###%%%&&&%%%$$$%%%%%%%%%$$$$$$#########$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&########################%%%%%%%%%&&&&&&&&&&&&&&&''''''%%%%%%%%%&&&'''(((%%%%%%$$$$$$%%%%%%&&&'''(((&&&$$$###$$$(((,,,///000333:::@@@BBB???888333(((...555999888555111...((('''''''''(((***,,,---///---+++)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%&&&""""""""""""############%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%########################&&&&&&&&&%%%%%%%%%%%%$$$&&&&&&&&&''''''''''''(((&&&%%%$$$######$$$%%%&&&$$$%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&$$$$$$%%%&&&$$$%%%%%%%%%$$$$$$$$$%%%&&&%%%######%%%&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###&&&(((((('''&&&&&&'''%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######''''''''''''''''''''''''######$$$$$$%%%&&&''''''!!!&&&(((&&&$$$%%%&&&$$$$$$%%%&&&''''''&&&&&&(((''''''((())))))'''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''((())))))((((((((((((((((((((((((''''''((()))))))))))))))+++++++++******)))))))))...---,,,---......---,,,---------.........//////111//////222222222555;;;AAAIIIWWWgggyyy$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%"""$$$&&&&&&#########$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&%%%$$$###$$$%%%""""""###$$$%%%'''((()))$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###%%%&&&%%%$$$%%%%%%%%%%%%$$$###"""!!!$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%&&&&&&#################################$$$$$$$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%########################%%%%%%&&&'''''''''''''''&&&&&&%%%%%%%%%&&&''''''%%%%%%$$$$$$%%%%%%&&&'''&&&%%%###$$$''',,,222666BBBCCCDDDDDDBBB;;;333,,,$$$+++444;;;===888000***((('''&&&&&&(((***---///111000---***'''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&%%%%%%%%%%%%#########$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&''''''&&&&&&'''(((%%%&&&&&&%%%$$$######$$$&&&%%%######%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""'''(((&&&%%%&&&((($$$$$$$$$$$$%%%'''(((((($$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%$$$$$$###"""&&&&&&'''''''''((((((((($$$$$$$$$%%%&&&'''''''''$$$&&&((()))'''%%%%%%$$$###$$$%%%&&&&&&'''&&&&&&((('''&&&'''((('''%%%$$$))))))((((((((('''''''''&&&&&&''''''((()))))))))'''''''''''''''''''''''''''((())))))******)))))),,,,,,,,,+++++++++++++++///...---...///...,,,***,,,,,,------.../////////000...///222222111444999???GGGUUUeeewww%%%$$$###""""""######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$'''(((((((((&&&"""######$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$"""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&%%%$$$###$$$%%%$$$$$$######$$$&&&'''((($$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###%%%&&&%%%$$$######$$$%%%$$$$$$###"""###$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''''''''&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%&&&))),,,111777<<>>HHHVVVggg|||%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!$$$%%%$$$############$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%&&&&&&&&&###$$$$$$%%%%%%$$$$$$###!!!"""$$$%%%&&&&&&%%%%%%"""###$$$%%%%%%$$$###"""######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%############$$$$$$$$$%%%###"""!!!"""$$$%%%%%%$$$############$$$$$$$$$%%%"""$$$%%%%%%$$$$$$%%%&&&&&&%%%###$$$%%%&&&&&&%%%$$$$$$%%%&&&&&&%%%%%%%%%$$$%%%&&&&&&&&&%%%$$$$$$&&&&&&&&&''''''&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$)))((('''&&&%%%$$$###"""$$$%%%%%%%%%%%%$$$####################################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$#####################$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%$$$$$$&&&(((''''''%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%&&&&&&%%%$$$#########$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''$$$###$$$&&&)))***'''$$$%%%((('''$$$'''///333333)))(((&&&$$$############'''&&&$$$######$$$%%%&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&######$$$%%%%%%&&&''''''%%%%%%%%%%%%(((+++...///333111---)))''''''((()))%%%%%%%%%%%%%%%&&&&&&&&&###$$$$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''')))******)))(((''''''''''''''''''''''''&&&&&&''')))+++,,,***(((//////...,,,***(((&&&%%%%%%'''((((((''''''(((***)))(((((()))+++---,,,+++******+++++++++,,,,,,,,,+++---000000...,,,,,,---,,,---000000000000111333666<<>>HHHUUUggg}}}%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%$$$%%%&&&$$$""""""$$$&&&$$$""" """$$$&&&&&&&&&&&&&&&%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%###""""""$$$'''######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$++++++***)))'''%%%###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$################################################%%%%%%&&&&&&&&&&&&''''''%%%%%%$$$$$$$$$$$$$$$$$$$$$######""""""######$$$&&&&&&&&&%%%%%%$$$$$$$$$######$$$%%%%%%%%%$$$$$$&&&&&&&&&$$$###"""###%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&(((***)))&&&$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$&&&'''(((((((((((())))))((('''&&&&&&(((&&&%%%&&&))))))'''$$$$$$$$$$$$$$$%%%&&&'''((()))((('''&&&%%%$$$$$$$$$'''''''''&&&&&&%%%%%%%%%''''''''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%!!!!!!!!!"""$$$)))000555MMM>>>+++ !!!$$$$$$"""######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%&&&"""###&&&$$$"""$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$############$$$$$$&&&%%%###""""""###%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%$$$$$$###$$$%%%&&&'''((('''&&&%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&))))))((('''&&&%%%%%%$$$ """$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&(((''''''&&&$$$######"""&&&'''''''''&&&%%%%%%$$$"""$$$&&&'''&&&&&&'''((($$$$$$%%%%%%&&&'''(((((('''%%%######$$$&&&&&&&&&%%%%%%%%%&&&&&&'''''''''(((((('''''''''&&&&&&&&&))))))))))))((((((((('''((((((((((((((((((((((((*********)))((('''''''''++++++***************+++++++++,,,---)))$$$%%%***........................,,,...///000000111444666111555===HHHSSSbbbxxx%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%&&&&&&(((******(((&&&###"""###$$$%%%%%%%%%&&&&&&%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$""""""$$$&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$$$$############$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$######$$$%%%%%%%%%%%%$$$%%%%%%&&&%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%$$$"""!!!###%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&%%%%%%$$$***(((''')))++++++)))'''$$$$$$$$$$$$%%%&&&'''(((''''''&&&%%%$$$######$$$&&&&&&&&&&&&%%%%%%%%%$$$&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%######%%%))),,,???555)))"""###$$$$$$"""######$$$%%%%%%&&&''''''##############################$$$$$$$$$%%%%%%%%%%%%!!! $$$&&&$$$!!!$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%((('''%%%$$$$$$%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&(((''''''&&&%%%%%%$$$$$$###$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%$$$$$$###!!!###%%%&&&%%%%%%&&&'''$$$%%%%%%&&&&&&'''''''''$$$###"""###%%%((())))))%%%%%%%%%&&&&&&&&&''''''(((((('''''''''&&&&&&&&&''''''(((((()))******+++))))))))))))))))))))))))(((((())))))))))))))))))++++++***************+++---++++++---+++'''(((+++........................,,,.........---...000222111555===GGGRRRaaawww%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$%%%(((+++,,,...,,,)))&&&$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$ !!!###$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$###$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$ ###%%%""""""(((%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''&&&&&&%%%$$$&&&%%%%%%&&&''''''&&&$$$$$$$$$$$$$$$%%%&&&''''''&&&&&&%%%$$$############%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%(((((('''%%%""""""###%%%---***&&&%%%%%%%%%###"""###$$$$$$%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%###!!! """%%%&&&$$$!!!$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%&&&''''''$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$###'''&&&&&&%%%$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%$$$$$$######!!!###%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$"""###%%%'''((((((%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&'''(((***+++---...************************''''''(((((()))***+++++++++***************++++++...***)))---...+++***,,,...........................//////...---,,,...///111444<<>>FFFTTTjjj~~~"""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''###%%%...222...((('''###$$$&&&''''''&&&$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''###$$$$$$%%%%%%$$$$$$###$$$%%%&&&&&&''''''&&&&&&&&&%%%$$$$$$######$$$$$$"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""###$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$%%%%%%&&&&&&###$$$%%%%%%''''''((()))######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%///---***'''%%%$$$$$$%%%######$$$$$$$$$%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&%%%$$$######$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$"""###%%%&&&&&&%%%$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&''''''''''''&&&&&&***)))&&&###!!!!!!!!!"""&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%(((&&&%%%&&&))))))'''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&!!!###%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''&&&&&&%%%$$$#########$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$(((((((((&&&######$$$&&&***)))'''&&&%%%$$$$$$###'''$$$""""""%%%''''''%%%&&&%%%$$$$$$&&&&&&%%%$$$&&&'''''''''''''''&&&&&&"""###$$$%%%'''((()))***&&&$$$######&&&((((((((($$$%%%&&&&&&''''''&&&&&&(((''''''''''''((())))))'''''''''&&&&&&%%%%%%%%%%%%&&&''')))***))))))(((&&&''''''((())))))((((((***+++,,,------,,,+++***+++++++++***((()))+++---(((((()))***************++++++,,,,,,,,,++++++***......//////......---,,,...............///000000333444999???FFFRRRgggyyy############$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''$$$&&&...222---((('''$$$%%%'''(((((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$""""""#########""""""!!!%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%&&&"""######$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%((('''''''''&&&%%%$$$#########$$$$$$$$$%%%%%%%%%$$$$$$##################%%%%%%$$$######$$$%%%%%%'''&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$"""!!! """######"""%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&'''&&&$$$###"""###$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%&&&(((((('''$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%%%%%%%############$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&%%%$$$$$$&&&&&&&&&%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$(((((((((&&&$$$###%%%&&&%%%%%%%%%%%%%%%&&&''''''&&&$$$""""""%%%''''''&&&&&&%%%$$$$$$&&&&&&%%%$$$&&&'''''''''''''''&&&&&&&&&&&&''''''((((((((((((%%%$$$"""###%%%'''''''''$$$%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$%%%&&&&&&'''''''''&&&&&&%%%%%%%%%(((((((((((('''&&&%%%%%%'''''''''''''''((((((((((((((((((''''''(((((((((******+++)))((((((***,,,(((((()))***************+++,,,,,,,,,,,,,,,++++++***+++,,,------------------------------...//////000111555;;;BBBNNNdddvvv############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$''',,,...+++'''&&&%%%&&&((((((((((((&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&%%%%%%"""###$$$$$$%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$###"""!!! %%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&%%%%%%######$$$$$$$$$%%%%%%%%%!!!"""$$$&&&&&&&&&$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%)))(((((('''&&&%%%$$$###$$$%%%%%%%%%%%%%%%%%%&&&%%%###"""###$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$$$$#########%%%'''(((&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%''''''%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%########################&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$***(((&&&$$$###$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%$$$$$$###(((''''''&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''((((((&&&$$$###%%%&&&###$$$$$$%%%&&&''''''(((%%%$$$######%%%&&&&&&%%%&&&%%%$$$$$$&&&&&&%%%$$$&&&&&&'''''''''''''''&&&((((((''''''&&&&&&%%%%%%%%%###"""###%%%&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&''''''&&&&&&''''''((()))'''''''''&&&&&&&&&&&&&&&)))((('''&&&%%%%%%%%%%%%(((''''''&&&&&&&&&'''''',,,***(((''''''(((***,,,)))******)))(((''')))+++(((((()))***************++++++,,,,,,,,,,,,,,,+++((((((***+++,,,---------,,,,,,,,,,,,,,,---......222222666;;;BBBOOOeeexxx#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""$$$'''******'''$$$$$$&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######%%%&&&&&&&&&%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%$$$$$$$$$$$$$$$$$$'''''''''&&&&&&%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%%%%######$$$$$$$$$%%%%%%%%%!!!"""###%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%$$$$$$&&&''''''&&&%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$#########$$$&&&'''(((&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$$$$$$$#########)))((('''%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&''''''&&&$$$###$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$###&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((('''%%%$$$%%%&&&%%%%%%&&&&&&%%%%%%%%%$$$&&&%%%$$$$$$$$$$$$$$$###&&&%%%$$$$$$&&&&&&%%%$$$%%%&&&''''''((('''''''''%%%%%%%%%$$$$$$######"""%%%$$$###$$$&&&'''&&&%%%$$$%%%&&&&&&''''''&&&&&&((((((((((((((())))))***'''''''''''''''&&&&&&&&&&&&%%%$$$$$$%%%&&&((()))((((((&&&%%%%%%&&&&&&'''++++++))))))))))))++++++((()))))))))''''''(((***(((((()))***************)))***++++++,,,+++++++++))))))***+++,,,------,,,------,,,,,,------...///333333666;;;BBBOOOeeexxx###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""'''++++++(((&&&%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!!!!""""""""""""%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%$$$###"""$$$$$$%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%$$$$$$$$$$$$$$$$$$(((''''''&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&%%%$$$######$$$%%%%%%######$$$$$$$$$%%%%%%%%%""""""######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&###"""!!!!!!###$$$$$$###&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&&&&&&&%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%$$$$$$$$$"""######$$$%%%&&&&&&'''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%'''((('''%%%$$$%%%&&&$$$%%%%%%&&&&&&%%%$$$$$$&&&&&&&&&%%%###"""!!!!!!&&&%%%$$$$$$&&&&&&%%%$$$%%%&&&&&&'''((((((''''''######$$$$$$$$$$$$$$$$$$'''&&&%%%&&&(((((('''&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$%%%%%%&&&'''''''''''''''''''''''''''&&&%%%$$$$$$%%%&&&((()))(((''''''&&&&&&&&&''''''%%%&&&'''(((((('''&&&%%%''')))***)))((('''((()))(((((()))***************(((((()))***************,,,---------------,,,,,,...............//////000//////222777===JJJ___rrr$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%,,,111...)))(((((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''''''''&&&$$$$$$%%%&&&%%%$$$###"""!!!"""###$$$%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%)))'''%%%#########%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%!!!""""""###$$$%%%&&&'''$$$%%%%%%%%%%%%%%%%%%&&&%%%$$$"""###$$$&&&%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%&&&&&&'''%%%'''((('''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&& """%%%'''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%%%%%%%%%%!!!!!!"""###%%%&&&''''''$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&((('''&&&%%%%%%&&&!!!"""$$$%%%&&&&&&&&&%%%###%%%&&&%%%###"""""""""&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%&&&'''(((((((((((($$$%%%%%%&&&'''(((((()))''''''&&&'''))))))'''&&&$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&''''''((('''''''''''''''((((((((()))((('''&&&%%%%%%%%%%%%&&&''''''((())))))((((((&&&(((***++++++***(((&&&''')))+++***)))(((((()))(((((()))***************'''((()))***++++++++++++.../////////......---,,,///............///000000000111444999>>>III]]]nnn$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$...333...''''''((((((&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''((((((((())))))))))))$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%###$$$%%%&&&&&&$$$###!!!######$$$$$$%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%''''''''''''''''''&&&&&&%%%%%%&&&''''''&&&%%%%%%###$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$(((&&&%%%%%%'''((((((''''''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$######$$$%%%%%%&&&''''''&&&((()))(((&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%&&&'''(((((()))######$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$######$$$&&&'''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&#########$$$%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&'''(((&&&%%%%%%&&&!!!###$$$&&&&&&&&&$$$$$$!!!$$$%%%$$$$$$%%%&&&&&&%%%$$$$$$&&&&&&%%%$$$$$$%%%&&&'''((((((((((((%%%&&&&&&'''(((((())))))'''&&&&&&''')))(((&&&$$$$$$%%%&&&&&&''''''&&&&&&((((((((((((((()))******&&&'''''''''((((((((()))(((((((((((('''&&&%%%%%%$$$&&&(((+++,,,+++***)))+++,,,,,,,,,,,,,,,,,,+++(((***+++,,,***))))))***(((((()))***************))))))+++,,,,,,------------....../////////.........------------...//////222333777<<>>FFFVVVfff&&&&&&&&&%%%$$$###"""!!!%%%%%%%%%%%%%%%%%%%%%%%%''')))***(((%%%###%%%'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########""""""###$$$%%%%%%&&&&&&########################"""###$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&'''(((((((((&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$######&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$###$$$&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%''')))(((&&&$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""######$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%%%%&&&'''&&&$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$%%%''')))***''''''&&&%%%$$$""""""!!!%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&&&&%%%%%%%%%'''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######"""""""""$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((((((((''''''''''''((((((%%%%%%%%%&&&&&&&&&''''''))))))))))))((('''&&&%%%'''''''''''''''''''''''')))((('''&&&&&&'''((())),,,((($$$###&&&((('''&&&%%%)))---...,,,***+++---((((((''''''''''''((((((,,,,,,++++++***))))))((())))))))))))***+++------,,,,,,++++++***+++++++++------------------------,,,,,,------...///000000,,,---111666;;;EEEXXXiii%%%%%%%%%%%%$$$######"""%%%%%%%%%%%%%%%%%%%%%%%%''')))***(((%%%$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######'''&&&%%%$$$"""!!! $$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$######&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&'''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$######%%%%%%%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$#########"""$$$&&&'''%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%%%%%%%%%%&&&'''&&&$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%'''(((#########$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%'''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%)))(((((('''&&&%%%$$$$$$"""######$$$%%%&&&'''''''''''''''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&''''''(((((((((''''''((((((((((((((((((((((((((('''&&&%%%%%%%%%&&&'''%%%%%%%%%'''))))))((('''&&&(((+++,,,+++***))))))((((((''''''((())))))***)))***************++++++((('''''''''((()))******,,,,,,++++++***++++++,,,------------------------,,,,,,------...//////000//////222666:::CCCUUUeee~~~$$$$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%'''(((((('''%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$###!!!""""""""""""#########%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$######&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$$$$######%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&'''''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$######$$$$$$%%%&&&%%%%%%$$$###"""!!! """%%%&&&%%%$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%$$$$$$$$$$$$&&&&&&%%%$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%""""""###$$$%%%%%%&&&&&&#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&%%%$$$###"""!!!""""""###$$$%%%&&&'''%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$&&&''''''((((((((((((((((((((((((((((((((('''&&&%%%%%%%%%%%%&&&'''"""'''++++++***)))(((''''''((()))++++++)))'''))))))(((((()))***++++++))))))******************)))((((((((((((((()))))),,,++++++***++++++,,,,,,------------------------,,,,,,------.../////////111222444777999@@@QQQaaa|||"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$ !!!"""###%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$######"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$######&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$#########%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(((((('''''''''&&&%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''((((((''''''&&&&&&$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$###"""""""""!!!###&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$###$$$%%%&&&%%%#########$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$"""###$$$%%%'''((()))***'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&''''''&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&''')))+++,,,$$$)))+++***((()))***)))'''&&&)))---...,,,***,,,+++******))))))******************)))))))))))),,,+++***************+++++++++******++++++,,,,,,........................---------.........//////111222444666888???NNN^^^yyy""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&$$$###"""!!!!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$###""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$######&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$$$$######%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%)))(((((('''&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''(((((((((''''''&&&%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$######$$$$$$%%%$$$%%%%%%%%%%%%%%%%%%%%%$$$&&&((((((&&&$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$###$$$%%%&&&%%%###"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&'''''''''((((((''''''''''''((((((%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((+++...111333%%%(((***)))&&&&&&(((+++)))''''''***///222111//////...,,,+++)))((((((((('''(((((()))******++++++,,,+++***************++++++*********++++++,,,---........................---------...............///000333666888>>>NNN]]]vvv"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$%%%&&&'''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""######$$$$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$######&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&)))(((''''''&&&'''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$###"""$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&''')))(((&&&$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%$$$$$$$$$###%%%%%%$$$###"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''''''''''''''&&&%%%$$$""""""###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%$$$###"""!!!###$$$%%%&&&'''(((((()))(((((('''&&&%%%$$$######(((((((((''''''(((((((((%%%%%%%%%&&&&&&&&&''''''(((((((((''''''&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''))),,,000333555+++***)))'''%%%%%%(((***(((((((((+++...111222222///...,,,***)))(((''''''###$$$&&&(((***,,,...///)))((((((((((((((())))))************+++,,,------................................................---...222555777>>>MMM\\\sss######$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''%%%###$$$&&&'''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%% !!!###$$$&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&""""""###$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$######&&&%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&(((''''''&&&&&&'''((()))''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""!!!%%%%%%%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$###%%%''''''&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%%%%%%%###$$$%%%$$$###""""""$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$#########$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%$$$###""""""######$$$%%%&&&''''''(((&&&&&&&&&%%%%%%$$$$$$$$$(((''''''&&&&&&''''''(((%%%%%%%%%&&&&&&&&&''''''''''''(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''***---000222---***'''&&&&&&((())))))&&&((()))******+++---///,,,+++***))))))((())))))%%%&&&'''((()))+++,,,,,,((('''''''''((()))******************+++,,,---...................................................---///222555777<<>>IIIWWWlll$$$$$$%%%%%%%%%$$$"""!!!$$$$$$&&&&&&&&&&&&$$$$$$'''''''''((((((((((((((('''''''''&&&&&&%%%%%%%%%'''&&&&&&%%%%%%$$$######(((((('''''''''&&&&&&&&&''''''''''''''''''''''''((((((((((((((((((((((((+++((($$$%%%((((((%%%!!!''''''''''''''''''''''''''''''''''''''''''''''''(((((('''''''''&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%&&&((()))((('''%%%$$$###$$$%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%$$$$$$#########&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&%%%%%%$$$((('''&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&&&&&&&&&&'''''''''''''''((((((((((((%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''''',,,+++(((&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$""""""""""""""""""""""""'''&&&%%%%%%$$$$$$$$$$$$$$$%%%&&&'''''''''&&&%%%(((((('''&&&%%%%%%$$$$$$"""###$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$###"""!!! $$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&***(((%%%###"""###$$$&&&%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''((()))))))))&&&###$$$(((***((($$$$$$%%%&&&&&&''''''&&&&&&'''&&&%%%$$$%%%&&&'''((()))((('''&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((()))***+++++++++***(((''',,,)))&&&&&&(((***)))((())))))************))))))'''''''''''''''((())))))(((((()))************)))++++++---......---,,,+++++++++,,,,,,---.........//////////////////......///111444666555555>>>IIIXXXooo))))))*********)))''''''%%%&&&''''''''''''&&&%%%''''''''''''((((((((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''""" %%%'''&&&###&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&'''((()))'''&&&%%%$$$$$$$$$%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''&&&&&&%%%$$$&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$######$$$$$$%%%'''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))''''''''''''((((((((((((%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((('''%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%&&&%%%$$$$$$$$$%%%''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$########################'''&&&%%%%%%$$$$$$$$$%%%$$$%%%&&&'''''''''&&&&&&(((''''''&&&%%%%%%$$$$$$######$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''''''''&&&&&&$$$######$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&)))'''%%%$$$######$$$%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''(((((()))(((&&&&&&'''((()))'''$$$###$$$%%%&&&&&&&&&%%%%%%&&&&&&%%%%%%&&&&&&''''''(((''''''&&&&&&&&&'''''''''&&&&&&&&&&&&'''(((((())))))******))))))((('''+++)))&&&&&&(((***)))((())))))************))))))(((''''''''''''((()))))))))***++++++,,,,,,,,,,,,))))))+++,,,------,,,,,,++++++,,,---...//////000------------------------///000333555444555===HHHVVVlll&&&''''''''''''&&&&&&%%%&&&''''''((((((''''''&&&'''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&'''''''''&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''###&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&)))((('''''''''''''''(((&&&&&&%%%$$$$$$$$$%%%%%%'''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$############$$$$$$'''&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&'''((()))***''''''''''''((((((((((((&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%$$$$$$###"""$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$$$$%%%%%%$$$%%%&&&&&&''''''&&&&&&'''''''''&&&&&&%%%%%%$$$###$$$$$$%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&'''(((((((((&&&(((***+++)))'''&&&%%%!!!###%%%&&&'''&&&$$$###%%%%%%&&&'''''''''''''''''''''&&&&&&&&&'''(((((('''&&&&&&&&&&&&'''(((((())))))((('''''''''''''''***(((''''''(((***)))((())))))************))))))((((((''''''(((((()))***))))))***+++,,,---------'''((()))***+++,,,,,,,,,+++,,,,,,...///000111111------------------------...///111444333444<<>>AAA777///)))&&&''''''$$$"""$$$$$$%%%%%%&&&&&&%%%%%%$$$'''&&&&&&%%%$$$$$$$$$%%%&&&&&&&&&''''''''''''((()))(((''''''&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&''''''(((((((((&&&&&&&&&'''((()))))))))&&&&&&&&&&&&&&&'''(((((('''''''''''''''((())))))'''''''''((()))*********))))))))))))************%%%&&&((()))***+++******---,,,,,,+++++++++,,,,,,---------,,,,,,,,,,,,,,,------......///000000111000///000111222555777999???JJJ]]]vvv((((((((((((''''''''''''((((((((((((((((((((((((***)))(((''''''((()))***((((((((((((''''''''''''%%%%%%%%%%%%&&&'''(((((())))))(((((('''&&&&&&%%%''''''((((((((((((''''''''''''''''''((((((((((((******)))))))))))))))(((''''''''''''''''''''''''((((((''''''&&&&&&&&&%%%((('''&&&&&&&&&&&&'''(((''''''&&&&&&&&&'''((((((''''''&&&%%%$$$$$$######''''''''''''''''''''''''%%%%%%%%%%%%&&&'''((()))$$$%%%&&&''''''&&&%%%$$$&&&&&&%%%$$$$$$$$$%%%%%%''''''&&&&&&&&&&&&''''''&&&''''''((((((''''''&&&''''''&&&%%%%%%'''((()))(((((('''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%&&&'''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%'''))))))((('''&&&'''$$$$$$############$$$$$$&&&%%%%%%%%%&&&'''((((((***---///---(((%%%$$$%%%'''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&&&&''''''''''''((()))))))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''###...888777...''''''+++((('''&&&&&&&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$$$$$$$############%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%***,,,)))&&&&&&%%%"""%%%$$$$$$$$$%%%&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%$$$%%%&&&&&&''''''(((((((((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&'''((()))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''$$$###)))555===???666,,,$$$$$$&&&$$$###$$$$$$%%%%%%&&&&&&%%%%%%$$$'''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''((((((((('''''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((()))******++++++(((((('''&&&&&&&&&&&&&&&'''''''''''''''((())))))''''''(((((())))))******************++++++++++++((()))***+++---///111222......------------......------------------------------......///000000000/////////000222444666888===GGG[[[sss)))))))))(((((((((''''''(((((((((((((((((((((((()))((((((''''''(((((()))((((((((((((((('''''''''&&&&&&%%%%%%&&&'''(((((()))((((((((('''''''''&&&(((***+++,,,,,,+++***((((((((((((((())))))))))))))))))))))))))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&'''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&'''((()))%%%&&&&&&''''''(((((((((((((((((((((((((((((((((&&&&&&&&&&&&&&&'''(((((($$$%%%'''(((((('''%%%$$$%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&(((''''''&&&'''((())))))&&&&&&&&&%%%$$$###"""!!!&&&&&&&&&&&&&&&&&&&&&&&&(((((('''(((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&'''%%%&&&&&&''''''&&&&&&%%%%%%'''))))))(((''''''(((%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%%%%&&&'''((()))***,,,---+++'''$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''))))))))))))((('''%%%%%%((((((((((((((((((((((((&&&%%%%%%&&&'''((())))))&&&999KKKJJJ:::)))%%%((('''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&222:::666,,,&&&%%%$$$'''&&&&&&%%%&&&''')))***$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''((((((((((((((())))))(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&+++'''%%%'''***///999BBB;;;///%%%###&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''((((((&&&&&&''''''(((((((((((())))))((('''&&&%%%%%%%%%'''''''''''''''((())))))'''((((((((()))))))))***)))))))))*********+++++++++*********,,,///222333...------------......///---------...........................//////000000/////////000111333555777<<>>///&&&%%%'''&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''######$$$%%%%%%%%%%%%$$$###$$$$$$%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&'''((()))))))))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$###$$$'''((('''***...666---&&&&&&((('''&&&'''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&'''))))))&&&&&&&&&''''''''''''((($$$%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''''''''&&&&&&&&&''''''((('''''''''''''''((())))))(((((((((((())))))))))))'''((((((((())))))))))))***)))'''&&&&&&'''(((***************+++,,,---...,,,,,,,,,---......//////....../////////////////////.........000111333444;;;DDDUUUkkk++++++*********)))))))))))))))))))))))))))))))))((((((((())))))(((((((((''''''''''''((((((((()))******))))))))))))******((((((((((((((()))))))))''''''((())))))((('''''''''''''''((((((((())))))&&&&&&&&&''''''((((((((()))))))))))))))))))))))))))))))))))))))(((((((((&&&&&&'''(((((('''&&&&&&(((''''''&&&&&&&&&''''''''''''((('''&&&$$$!!!&&&&&&&&&&&&&&&&&&&&&&&&)))((('''''''''''''''(((''''''''''''''''''''''''((('''&&&&&&%%%%%%%%%&&&((((((''''''''''''((((((%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&''''''(((((((((''''''((()))++++++***)))(((&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&((('''%%%$$$%%%'''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''(((((('''&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&%%%$$$$$$%%%''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%''''''((())))))(((''''''&&&&&&'''''''''((((((((('''(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((()))***+++555PPPiiifffJJJ///'''***&&&&&&'''(((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###+++000,,,&&&$$$$$$###''''''''''''&&&%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$$$$%%%%%%&&&'''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''"""###$$$%%%%%%%%%$$$$$$&&&&&&'''(((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%###$$$'''&&&$$$---(((%%%''''''%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%'''((()))***&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((('''''''''&&&&&&&&&&&&''''''''''''''''''''''''$$$$$$%%%%%%'''(((******'''''''''''''''((())))))))))))))))))(((((((((((((((((()))))))))*********---,,,++++++++++++,,,---************+++,,,---...+++++++++,,,---........./////////////////////...///.........///111222444999AAARRRhhh+++++++++************)))))))))))))))))))))))))))))))))************))))))&&&'''''''''(((((())))))++++++***************+++******))))))((((((''''''))))))************))))))''''''''''''((((((((((((&&&'''''''''(((((()))))))))))))))))))))))))))))),,,,,,+++***)))(((''''''%%%&&&'''(((((('''&&&%%%)))((('''&&&&&&&&&&&&&&&%%%&&&((())))))(((&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&''''''((()))***'''&&&&&&%%%%%%&&&&&&'''***)))'''%%%$$$""""""!!!((((((''''''''''''((((((&&&''''''''''''''''''&&&%%%&&&&&&'''((('''''''''###$$$'''((())))))'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((***)))'''&&&'''***&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))((('''&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&'''&&&$$$$$$&&&(((&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%$$$###$$$%%%&&&'''&&&'''((()))******)))(((''''''''''''(((((((((((()))''''''((((((((((((((('''(((((((((((((((((((((((((((''''''''''''((())))))???WWWkkkdddFFF+++###'''%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&'''''''''&&&&&&&&&&&&''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''%%%"""%%%******&&&"""#########""" $$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$%%%%%%&&&'''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&'''((('''&&&&&&$$$$$$%%%&&&''''''&&&&&&'''''''''''''''''''''''')))((('''&&&%%%$$$######$$$$$$$$$$$$%%%&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%(((&&&"""###)))'''!!!&&&$$$$$$'''&&&######%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%'''(((***+++&&&&&&&&&'''''''''(((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))''''''''''''''''''''''''))))))(((((('''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%######$$$%%%''')))+++,,,'''''''''''''''((())))))))))))))))))(((((((((((()))************++++++++++++*********++++++,,,,,,+++******+++,,,---...///******+++,,,,,,---......///////////////.........///.........///000222333777@@@PPPfff,,,++++++******++++++,,,((()))+++,,,,,,+++)))((())))))(((((()))***++++++))))))))))))))))))))))))&&&'''(((*********)))((((((((((((((())))))))))))((()))***++++++***)))((('''(((+++---//////......******))))))((((((''''''******))))))((('''''''''))))))))))))((((((((((((''''''''''''''''''''''''+++(((%%%%%%((())))))'''+++***((('''%%%%%%%%%%%%(((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''(((((((((((('''''''''''''''(((((((((((()))))))))(((((('''''''''&&&((('''%%%$$$######$$$%%%'''((()))(((''''''''')))'''&&&&&&%%%%%%&&&&&&'''(((''''''''''''&&&&&&&&&$$$$$$$$$$$$%%%&&&''''''######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&%%%%%%$$$$$$$$$''''''&&&%%%%%%$$$######((((((((((((((((((((((((&&&&&&&&&'''''''''''''''&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%'''&&&%%%$$$%%%''')))***888SSSbbbPPP444(((+++///(((''''''''''''&&&&&&&&&((($$$###&&&'''$$$###$$$'''&&&%%%%%%%%%%%%&&&'''%%%$$$$$$&&&'''((('''%%%#########$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$&&&''''''&&&%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&(((&&&###$$$&&&((('''%%%%%%%%%%%%&&&&&&''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''''''''(((((('''''''''&&&&&&%%%&&&'''((())))))((('''&&&(((((('''&&&&&&&&&&&&'''&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$###%%%)))+++***((('''&&&%%%%%%&&&'''&&&%%%%%%&&&)))***+++***)))((('''((()))***+++,,,------)))(((&&&%%%&&&''')))+++)))(((((()))+++,,,+++))),,,+++++++++******))))))++++++************++++++,,,,,,---------,,,++++++------,,,,,,,,,------...000000//////.........---+++,,,...///...///000222777@@@OOOeee~~~+++******))))))******+++)))***+++,,,,,,+++***))))))))))))))))))***++++++************************(((((()))*********))))))(((((()))))))))*********(((((()))***************&&&(((***,,,------,,,+++******))))))(((((((((((()))))))))))))))))))))******)))))))))((((((((((((''''''''''''''''''''''''***(((%%%%%%''')))((('''&&&&&&&&&'''((()))))))))(((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((()))))))))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&&&&''''''''''''((((((((())))))((((((((('''''''''((('''&&&&&&&&&'''((()))&&&((()))((('''&&&'''((('''&&&&&&&&&&&&&&&&&&'''(((''''''''''''&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%######$$$%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&'''''''''&&&%%%%%%$$$$$$$$$%%%''''''&&&&&&%%%$$$$$$###''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''(((((((((((((((((('''&&&''''''((((((''''''&&&)))(((&&&%%%%%%&&&'''(((***===HHH<<<,,,&&&&&&&&&(((''''''''''''&&&&&&&&&((($$$###&&&'''$$$###$$$'''&&&%%%%%%%%%%%%&&&'''%%%%%%$$$&&&'''((('''%%%$$$$$$$$$$$$%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$&&&''''''&&&%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&(((&&&$$$$$$&&&''''''%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''((((((######$$$%%%%%%&&&'''''')))(((((('''&&&&&&''''''&&&'''((())))))((('''&&&'''&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&((((((&&&%%%)))(((''''''((()))((('''((()))******)))(((&&&%%%''''''((()))***+++,,,,,,)))(((&&&&&&&&&''')))***)))((('''((()))(((&&&$$$++++++*********)))))))))***))))))))))))))))))***++++++,,,,,,---,,,,,,,,,000///---,,,,,,,,,,,,---///.........---------------///111111111111333555777???NNNddd}}}***))))))))))))))))))***)))***+++,,,,,,+++***)))))))))))))))))))))***+++************************++++++******)))*********))))))*********+++++++++)))(((((())))))***++++++&&&''')))*********)))(((***))))))))))))(((((((((((())))))***++++++,,,,,,******)))))))))((((((((((((((((((((((((((((((((()))'''&&&&&&'''(((((('''$$$%%%''')))******))))))((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&'''((()))***++++++((((((((((((((((((((((((%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''((())))))((((((((((((''''''&&&&&&&&&&&&'''(((******&&&'''((('''&&&&&&&&&(((''''''&&&&&&&&&&&&''''''(((''''''''''''&&&&&&&&&((('''&&&%%%$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%'''&&&&&&&&&&&&&&&%%%%%%''''''%%%$$$$$$$$$%%%&&&''''''&&&&&&%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((((((((())))))))))))(((((('''(((((((((((((((((('''***)))'''&&&%%%%%%&&&&&& ***...***'''(((&&&!!!(((''''''''''''&&&&&&&&&((($$$###&&&'''$$$###$$$'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%&&&'''(((&&&%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$&&&''''''&&&%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&(((&&&$$$%%%&&&'''&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''((((((((())))))""""""###%%%&&&'''((()))***)))((('''''''''((()))''''''((((((((((((''''''&&&&&&%%%%%%%%%&&&&&&'''))))))((('''&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&&&&&&&'''&&&%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&''')))(((&&&$$$######)))(((''''''((()))((('''))))))(((((('''&&&&&&%%%&&&&&&'''((()))******+++(((''''''&&&&&&((()))***+++*********,,,,,,***(((******))))))))))))(((((())))))(((((((((((())))))******+++,,,---------,,,222000...,,,++++++,,,------------------,,,,,,,,,...000222222222222444555777???MMMbbb{{{******))))))))))))*********++++++,,,,,,++++++******)))))))))))))))******************************...---+++***)))***++++++******+++++++++,,,,,,,,,+++***)))(((((()))***+++(((((()))******)))((('''))))))))))))))))))))))))*********++++++,,,,,,,,,*********)))))))))(((((((((((((((((((((((((((((((((''''''''''''(((''''''((()))******)))&&&$$$"""((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((%%%%%%&&&'''(((((())))))''''''''''''&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&''''''''''''))))))((((((((((((((((((%%%%%%&&&&&&&&&''''''(((%%%'''((('''&&&%%%&&&'''((((((''''''''''''(((((((((''''''''''''&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&''''''''''''&&&%%%%%%$$$((('''%%%$$$$$$%%%&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((())))))((((((((())))))(((((((((''''''(((((((((((('''''')))((('''&&&&&&&&&&&&'''"""%%%%%%$$$''',,,***%%%(((''''''''''''&&&&&&&&&((($$$###&&&'''$$$###$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&$$$&&&&&&%%%$$$$$$$$$%%%%%%''''''''''''''''''''''''(((((('''&&&%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$&&&''''''&&&%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&'''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&'''''''''((((((((((((%%%&&&&&&'''((())))))***+++***(((''''''((()))***'''(((((((((((((((((('''&&&&&&&&&&&&&&&'''((()))******))))))((((((((((((''''''''''''''''''''''''#########$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&''''''%%%%%%&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$'''***)))&&&######$$$'''%%%%%%%%%&&&'''&&&%%%&&&&&&%%%%%%&&&'''((()))%%%%%%&&&''''''((())))))(((''''''''''''((())))))''''''(((***---///...---)))))))))((((((((((((((())))))(((((((((((())))))((()))***+++,,,---------111000---++++++,,,---///---------------------------...000111000111222444777>>>KKK___xxx+++++++++******++++++++++++++++++,,,,,,+++++++++******)))))))))))))))***************************...---,,,*********+++,,,++++++++++++,,,,,,,,,,,,---,,,***(((''''''((((((******************))))))))))))))))))************,,,,,,,,,,,,++++++******************))))))))))))))))))))))))))))))))))))'''((((((((((((((((((((()))******)))'''$$$!!!))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((((((((('''''''''&&&&&&&&&''''''((((((((((((''''''&&&&&&&&&'''''''''(((((((((((())))))))))))))))))(((((((((''''''&&&&&&&&&&&&'''((('''&&&&&&'''((()))((((((''''''(((((()))(((''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&'''(((%%%%%%&&&''''''''''''&&&&&&''''''''''''%%%$$$$$$'''&&&%%%%%%%%%&&&'''(((''''''&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''&&&&&&''''''((())))))***&&&''''''((((((''''''&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&''''''(((((('''((('''&&&'''******((((((''''''''''''&&&&&&&&&((($$$###&&&'''$$$###$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''&&&$$$&&&&&&%%%$$$$$$$$$%%%%%%''''''''''''''''''''''''((((((''''''&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$&&&''''''&&&%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''((((((((((((((((((((('''***)))(((''''''((()))***(((((((((''''''(((((((((''''''''''''(((***++++++)))(((((('''(((((()))***''''''''''''''''''''''''%%%%%%%%%%%%&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''&&&'''''''''((((((((()))%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%"""%%%((((((&&&$$$&&&((('''%%%%%%%%%&&&'''&&&%%%&&&&&&%%%%%%&&&'''((()))%%%%%%%%%&&&''''''(((((('''''''''''''''((())))))###"""###%%%(((***)))(((((((((((((((((()))))))))+++******))))))******+++((()))***+++,,,,,,------......,,,,,,,,,...000111..................//////---...000111000111222444777===III]]]uuu,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++******)))))))))))))))++++++++++++++++++++++++,,,,,,++++++***+++++++++******+++++++++,,,,,,,,,,,,,,,+++)))((((((((((((++++++++++++++++++++++++)))))))))************+++------,,,,,,+++******)))++++++*********)))))))))))))))))))))))))))))))))''')))++++++)))((())))))'''((((((((((((&&&%%%$$$))))))))))))))))))))))))(((((((((((((((((((((((()))))))))))))))))))))))),,,+++++++++*********)))+++******))))))((((((((())))))************))))))'''''''''(((((((((((()))(((((())))))))))))******++++++++++++***)))(((''''''((()))((('''&&&''')))))))))(((((((((((())))))(((''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&'''((()))%%%&&&''''''((((((''''''%%%&&&'''''''''&&&%%%$$$&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&'''((())))))***+++&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''(((((()))'''((((((&&&$$$%%%&&&'''(((''''''''''''&&&&&&&&&((($$$###&&&'''$$$###$$$%%%&&&&&&''''''&&&&&&%%%'''&&&%%%&&&''''''%%%$$$%%%%%%%%%$$$$$$%%%&&&&&&''''''''''''''''''''''''''''''''''''&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$&&&''''''&&&%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&'''&&&%%%$$$&&&((('''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&&&&'''((((((''''''&&&%%%%%%$$$''''''(((((((((((())))))((((((''''''''''''((((((''''''((((((***+++------((('''&&&%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&))))))((((((((((((((((((&&&%%%%%%%%%%%%&&&'''''''''''''''((())))))******%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%'''((())))))%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&''''''''')))+++)))(((''''''((()))((('''))))))(((((('''&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''((((((((((((((('''&&&&&&'''((((((&&&%%%(((((())))))))))))******++++++************++++++))))))***+++,,,,,,,,,+++,,,,,,------...000111111.........///////////////...000222222222222444555777<<>>HHHXXXqqq&&&'''''''''(((((())))))((((((((())),,,------,,,''''''(((((())))))************+++,,,------......000...,,,***))))))***+++******))))))))))))************+++++++++,,,,,,,,,)))***+++,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,******+++,,,,,,---------.........,,,***)))***+++---,,,,,,+++*********+++++++++,,,,,,,,,---------,,,,,,,,,+++++++++*********,,,,,,+++)))((()))***((())))))***++++++,,,,,,++++++++++++++++++++++++((()))***+++,,,,,,---,,,+++,,,,,,------,,,,,,+++++++++,,,---,,,+++***))),,,++++++******++++++,,,+++++++++***++++++,,,,,,---,,,,,,++++++,,,,,,---************************++++++******))))))(((((('''&&&%%%$$$%%%''')))*********))))))))))))******'''(((((()))***+++++++++))))))))))))))))))))))))%%%&&&&&&'''((())))))***(((((())))))*********+++******++++++++++++******))))))***+++,,,,,,------***+++,,,------,,,+++******))))))(((((((((((((((%%%&&&&&&'''((()))*********))))))))))))(((((((((((('''&&&%%%%%%%%%%%%%%%''''''((((((((((((''''''(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))''''''((((((((((((''''''''''''&&&&&&&&&&&&''''''''''''((()))******))))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((())))))((('''&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&(((((((((&&&$$$"""$$$%%%'''((((((((('''&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&((((((((((((((((((((((((%%%%%%&&&'''((((((((('''''''''((((((((((((''''''(((''''''''''''((()))))),,,&&&&&&...333...)))(((&&&''''''''''''''''''&&&$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&'''''''''"""$$$%%%'''((((((''''''"""%%%((((((&&&%%%&&&(((%%%''')))'''$$$&&&,,,222555111+++'''&&&'''((()))%%%%%%%%%&&&&&&&&&''''''$$$######$$$&&&''''''&&&)))(((&&&%%%&&&))),,,///000111///***%%%"""$$$''''''&&&&&&&&&&&&'''((((((&&&&&&&&&'''''''''((((((((((((''''''''''''((((((''''''''''''((((((((()))&&&%%%%%%&&&(((***+++***************************---------,,,,,,,,,++++++''')))+++,,,++++++,,,...111000///...............)))+++---000222222111000111666===FFFUUUnnn))))))))))))))))))))))))++++++******++++++,,,---************************,,,,,,------...---------,,,,,,,,,+++++++++******)))+++,,,,,,+++***,,,---,,,,,,,,,++++++,,,,,,---***+++,,,,,,------,,,,,,---------,,,,,,+++++++++---------....../////////,,,,,,,,,,,,,,,,,,,,,,,,++++++******))))))((((((---+++)))(((((()))+++,,,+++******************+++************************+++++++++************)))(((((())))))***+++------//////...------------...---,,,,,,++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,------------------------...------...///...+++)))))))))************))))))(((((())))))*********+++...,,,******))))))'''%%%''''''&&&&&&&&&&&&''''''))))))(((((((((((())))))******)))(((((((((((((((((((((((((((((((((((((((******++++++++++++******)))***,,,+++)))(((((()))++++++******************************))))))((((((+++,,,------,,,+++)))(((************))))))))))))))))))))))))))))))))))))******))))))((((((((((((,,,,,,,,,+++***)))((((((************************))))))************))))))))))))))))))))))))))))))))))))******)))((('''&&&(((((((((((((((((((((((())))))((((((''''''&&&&&&'''''''''''''''((())))))''''''''''''''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((''''''(((((('''&&&%%%%%%%%%&&&'''(((((('''&&&%%%&&&&&&''''''((()))))))))%%%&&&&&&'''((()))*********(((&&&&&&'''(((((((((******))))))((((((''''''((())))))************))))))((('''&&&&&&'''((()))(((%%%###$$$&&&'''%%%"""######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&''''''&&&%%%%%%&&&)))))))))((('''&&&%%%$$$%%%%%%$$$$$$$$$%%%&&&'''''''''''''''''''''''''''""""""###$$$&&&))),,,---+++)))'''''''''&&&$$$""")))((('''&&&&&&'''((()))''''''''''''''''''''''''%%%&&&&&&'''''''''''''''++++++***)))((('''&&&&&&***)))(((''''''((()))***++++++******++++++,,,---000---***))))))***+++***)))))))))((())))))***+++000///---++++++---///000///...------...///111222333444;;;GGGXXXnnn))))))))))))))))))))))))++++++******++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---............---------------,,,,,,,,,+++***+++---,,,++++++,,,.........---,,,,,,,,,------,,,------..................---------,,,,,,,,,,,,---------.........//////........................++++++++++++++++++******+++++++++,,,,,,,,,------,,,++++++******++++++,,,++++++++++++++++++++++++,,,+++++++++***************))))))******+++,,,---......------------......------,,,,,,,,,,,,------------------------------------------------------...---,,,---......---+++++++++++++++++++++++++++))))))))))))*********+++---+++************)))'''(((((((((''''''((((((((())))))(((((((((((())))))++++++***)))))))))))))))))))))))))))))))))))))))''''''(((((((((((('''''')))***++++++)))(((((()))************************+++++++++******)))))))))******,,,------,,,+++***************))))))))))))))))))))))))))))))))))))((((((((((((((('''&&&&&&+++++++++******)))''''''))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))))))))((((((((((((((('''''''''((((((''''''(((((()))***(((((((((((((((((((((((($$$%%%%%%%%%%%%&&&&&&&&&%%%&&&&&&''''''(((((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''(((((((((((())))))(((((('''&&&&&&&&&'''(((((('''&&&&&&''''''''''''''''''''''''&&&&&&''''''(((((()))))))))(((&&&&&&((()))***)))***)))))))))(((((((((''')))))))))***))))))(((((()))((('''&&&&&&'''((()))(((&&&$$$$$$&&&'''%%%###$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$&&&''''''&&&%%%%%%&&&$$$$$$$$$%%%%%%$$$######''''''''''''((((((((((((''''''''''''''''''''''''%%%%%%%%%%%%'''***---///***(((&&&&&&'''''''''&&&)))((('''&&&&&&'''((()))''''''''''''''''''''''''%%%&&&'''((((((((('''&&&))))))))))))((((((((((((***)))(((((((((((()))***+++++++++++++++,,,------///,,,******+++,,,,,,+++++++++******++++++,,,---.........------.........,,,,,,,,,,,,---...//////222333999EEEVVVlll************************+++************+++,,,,,,------------------------,,,------...//////..................------------+++---......---,,,...///000000///......---............///000000000000///............------------------............//////////////////////////////,,,,,,,,,,,,------------+++,,,...///000///......------,,,,,,,,,,,,------++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++,,,++++++******++++++,,,,,,,,,,,,,,,---...///000......------------..............................------------------------...---+++,,,---///...---------,,,++++++,,,------)))))))))***************+++)))))))))+++++++++)))))))))(((((((((((()))))))))((((((''''''(((((()))++++++******))))))******************************))))))************))))))(((***++++++)))(((((()))************************,,,,,,++++++++++++******((()))+++,,,---------,,,++++++*********)))))))))))))))))))))))))))))))))'''(((***+++***)))'''&&&************)))(((''''''))))))))))))))))))))))))+++***)))(((((()))***+++))))))))))))))))))))))))***)))((((((((()))***+++************************'''((((((((((((((())))))))))))((((((((()))******))))))))))))))))))))))))%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&'''''''''((((((((())))))))))))))))))((('''&&&&&&'''(((((('''&&&&&&'''''''''''''''&&&&&&&&&'''''''''((((((((((((((()))((('''''')))++++++***))))))))))))(((((((((((())))))))))))(((((('''&&&((((((''''''''''''(((((((((&&&%%%%%%&&&&&&%%%$$$''''''''''''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$&&&''''''&&&%%%%%%&&&%%%%%%&&&'''''''''''''''%%%&&&((()))))))))((('''''''''''''''''''''''''''((('''''''''))),,,000222+++(((&&&%%%''')))))))))((((((''''''''''''((((((''''''''''''''''''''''''$$$%%%'''))))))((('''&&&''''''(((((())))))*********))))))(((((())))))***+++++++++++++++,,,,,,------,,,+++,,,---...---,,,------,,,,,,,,,---......,,,---...//////...---,,,++++++,,,---............111222888CCCSSShhh***************************************++++++,,,,,,,,,------------------,,,,,,---...////////////.........------------,,,,,,...//////......///000222222111000////////////...//////000000000000000////////////////////////.../////////////////////000000000000000000000000,,,,,,,,,------.............../////////......---......------------......,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,+++------,,,++++++++++++++++++++++++,,,---...000111//////............//////................................................///---++++++---///000///...---+++******+++---...***************************)))((((((******)))((()))(((((((((((((((((()))(((((((((''''''(((((((((******)))))))))))))))******************************++++++,,,,,,++++++***(((***++++++)))((()))******************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,)))***,,,---------,,,,,,+++++++++*********)))))))))))))))))))))))))))))))))+++---//////---+++)))***************)))(((((()))))))))))))))))))))))),,,***(((''''''(((***,,,))))))))))))))))))))))))***)))((('''''')))+++---************************''''''(((((()))))))))*********))))))))))))******((((((((((((((((((((((((&&&&&&&&&&&&''''''''''''((((((((((((''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''(((((((((((((((((()))))))))(((((('''&&&''''''''''''''''''&&&&&&&&&&&&&&&''''''''''''((((((((((((((('''''''''+++***((()))*********((())))))))))))(((((((((((())))))))))))((('''%%%%%%(((((((((''''''(((((((((((('''&&&&&&&&&&&&&&&%%%))))))))))))((('''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$&&&''''''&&&%%%%%%&&&''''''((((((((((((''''''!!!###%%%&&&'''&&&$$$###''''''''''''''''''''''''((((((((())),,,///333555---***'''%%%&&&((()))***(((((((((''''''(((((((((''''''''''''''''''''''''###%%%'''))))))(((&&&%%%(((((((((((())))))))))))))))))))))))))))))))))))******))))))******+++,,,+++++++++---///000///------------------......///,,,------......------,,,,,,---///111111111000000222222777AAAPPPfff))))))))))))))))))))))))******))))))******+++,,,******++++++,,,,,,,,,,,,+++,,,---...////////////------------,,,,,,,,,,,,---///000000///...000111333222111111000000000111......///000000000000000000000000000000000000000000000000000000000000000////////////////////////+++,,,,,,------.........222000...,,,++++++,,,---///..................///------------------------............------------///...---,,,++++++++++++******++++++---...000111000//////......//////000------------------------........................///---++++++---///000000...---+++******+++---...+++++++++***************+++)))((('''(((((('''%%%(((''''''&&&&&&''''''(((((((((''''''''''''(((((((((((('''''''''(((((()))************************''''''((((((((((((''''''''')))++++++)))))))))***))))))*********+++++++++,,,,,,,,,,,,,,,,,,,,,---,,,------...---,,,+++***++++++++++++************))))))))))))))))))))))))***+++...//////...,,,***++++++,,,,,,,,,+++******++++++++++++++++++++++++,,,***(((''''''(((***,,,***************************)))((('''((())),,,---))))))))))))))))))))))))'''((((((((())))))************))))))))))))******''''''''''''''''''''''''&&&&&&'''''''''(((((((((((((((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''((((((((())))))&&&''''''((((((''''''''''''''''''&&&&&&'''''''''%%%%%%&&&&&&'''((())))))((((((((((((((('''''''''---+++*********)))(((&&&(((((((((((())))))))))))))))))))))))((('''%%%%%%'''(((((((((((((((((('''(((((((((''''''&&&&&&'''*********)))((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&''''''&&&%%%%%%&&&&&&&&&&&&%%%$$$###"""""" """$$$%%%&&&%%%###"""'''''''''''''''''''''''''''''')))+++...222444666///,,,(((&&&&&&'''(((((('''(((((((((((((((((('''(((((((((((((((((((((((($$$%%%'''((()))((('''&&&))))))))))))(((((((((((())))))************))))))((((((((((((((()))******+++***+++---///000///...,,,,,,,,,,,,,,,---......///...,,,++++++,,,...///---...///111222111111000444333777@@@NNNddd***************************))))))))))))***++++++((())))))******++++++,,,******,,,---......//////---------,,,,,,,,,,,,+++---///000000///...000111222222111111111111222222...///000000111111000000111111111111222222222222333333222222222222111111000000000000000000000000---------------.........222000---***)))***,,,---//////............//////........................////////////.........---///...------,,,,,,,,,,,,*********+++,,,...///000//////............//////------------------------........................///...,,,---...000///...---,,,++++++++++++,,,---+++++++++++++++*********+++)))((((((((((((&&&%%%''''''&&&&&&&&&&&&''''''(((''''''&&&&&&''''''(((''''''&&&&&&&&&'''((((((************************((())))))******))))))(((''')))***+++)))))))))***)))))))))***++++++,,,,,,++++++,,,,,,,,,,,,---------.........---,,,***))),,,++++++++++++*********))))))))))))))))))))))))((()))+++,,,---,,,***)))+++,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,+++***)))(((((()))***+++************************+++***)))((()))***+++,,,))))))))))))))))))))))))((())))))))))))))))))*********)))((((((((())))))'''''''''''''''''''''''''''''''''(((((((((((()))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((()))))))))%%%&&&&&&'''''''''''''''((('''&&&&&&&&&&&&'''(((&&&&&&''''''((())))))***'''''''''(((((((((((((((,,,***))))))***)))'''%%%(((((((((((())))))))))))))))))))))))(((((('''&&&''''''((((((((((((''''''((()))))))))'''&&&'''((())))))))))))((('''&&&%%%$$$%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&''''''&&&%%%%%%&&&((((((''''''&&&$$$###"""###$$$%%%''''''&&&&&&%%%''''''''''''''''''''''''&&&(((***---000111222333///,,,(((&&&&&&&&&&&&%%%''''''((((((((((((''''''((((((((((((((((((((((((%%%&&&&&&'''''''''''''''******))))))(((((('''''')))******++++++******)))((((((((('''((())))))***+++******+++---///......,,,++++++++++++,,,------///...+++))))))+++...///,,,,,,---...////////////555333666???LLLaaa}}},,,,,,,,,,,,,,,,,,,,,,,,)))))))))))))))***++++++(((((())))))***++++++,,,((()))***,,,---.....................---------------...000///......///111000000000000111222333444000000111222222222222222111222222222333333333333555555444444444333333333111111111111111111111111//////////////////.........---,,,,,,,,,---......///......------......///////////////////////////000000000/////////......///...---------------...++++++++++++,,,---...//////......------......///................................................///......///000000...,,,------------------------,,,,,,,,,++++++*********+++***((()))***+++***(((((((((''''''''''''(((((((((''''''&&&&&&''''''((('''''''''''''''((())))))))))))))))))))))))))))))++++++,,,,,,,,,,,,++++++'''(((***+++***)))***+++((())))))***++++++,,,,,,***+++++++++,,,,,,,,,,,,,,,------......---,,,+++,,,,,,+++++++++*********))))))))))))))))))))))))))))))***+++++++++++++++***++++++,,,,,,,,,++++++++++++++++++++++++++++++))))))))))))))))))))))))************************++++++***************************************************)))))))))))))))***)))((((((''''''((((((''''''''''''''''''''''''''''''((((((((()))))))))''''''(((((())))))******''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((())))))))))))&&&&&&'''(((((((((((((((((('''&&&&&&&&&&&&'''(((******)))))))))(((((((((&&&&&&''''''(((((())))))((('''''')))******(((&&&'''((((((((()))))))))***)))))))))***))))))((((((&&&'''((())))))((('''&&&((()))+++)))'''&&&''')))((((((((((((''''''&&&%%%$$$$$$%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&''''''&&&%%%%%%&&&((()))))))))((('''&&&&&&&&&&&&'''''''''(((((((((''''''''''''''''''''''''(((***---///000///---++++++)))'''&&&''''''&&&%%%&&&'''((())))))((('''&&&(((((((((((((((((((((((('''&&&&&&%%%&&&'''((()))(((((((((((()))))))))))))))***++++++++++++***))))))))))))))))))***++++++---+++))))))+++---------,,,,,,++++++,,,,,,---...------,,,++++++,,,------------------...///000111444222555<<>>NNNhhh//////............//////......------------......//////000000000111111111/////////000000111111111222222222222222222222222111000000////////////000/////////000111111222222222222333444555555555555222333444555666777888888666666777777888888777777777777666666777777888888666777777666444444555777666666555555555555666666555555555666666777777777555555555555555555555555666666666666666666666666333333333222222222111111111111000///////////////...//////000000000000000000000////////////.........//////000000111111111111222222333333444444555444444444333333333222222222222222222222222222222//////000000//////...---///......------......///,,,+++******))))))************))))))))))))******************************))))))))))))))))))))))))))))))))))))))))))))))))((((((''''''''''''(((((())))))******+++******)))((()))***+++,,,+++************)))(((((()))******((((((((((((((())))))***(((((((((((())))))))))))&&&&&&'''(((((((((''''''''''''(((((((((((())))))))))))((((((''''''&&&&&&***)))))))))((((((((('''((((((((((((((((((((((((&&&''''''((((((''''''&&&((((((((((((((((((((((((((((((((((((((((((((((((***)))(((((()))(((&&&$$$&&&&&&''''''((()))))))))'''&&&&&&&&&'''(((((()))((((((((('''''''''&&&&&&))))))(((''''''(((((((((''''''((((((((()))))))))++++++******)))(((''''''((((((((((((((()))******(((((((((((('''''''''''''''&&&&&&&&&&&&'''((((((&&&&&&'''''''''(((((((((***)))(((''''''((()))***((((((''''''''''''&&&&&&'''(((((())))))*********)))((((((''''''(((((((((''''''''''''''''''''''''&&&&&&%%%''')))+++******&&&''''''&&&$$$######$$$%%%+++111///)))%%%&&&)))%%%&&&''''''(((''''''''''''''''''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%&&&((()))***)))((('''))))))((('''&&&&&&&&&'''((((((((((((((((((((((((((((((((()))))))))******''''''''''''(((((((((((((((((((((((())))))))))))++++++******))))))((((((///---)))$$$"""%%%***...++++++++++++++++++++++++++++++++++++++++++++++++,,,---.../////////...---,,,,,,---...///000111222///000333888>>>LLLeee{{{111000000000000000000111000000////////////000000111111111111222222222222111111111111222222222222222222222333333333333333000000//////000000111111/////////000111111222222111222333444555555555555444444555555666666777777222333444555555555555444666666666666666777888888777888888666444444666888666666555555555555666666333444555555666777888888666666777777777777777777666666666666666666666666555555444444444333333333000000///............//////000000111111111111111/////////.........------------...//////000111111111111111222333444444444444444444444333333333333111111111111111111111111111111222222111111000///111000000//////000000111///...------,,,,,,------,,,++++++******++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++******))))))))))))******))))))***+++,,,,,,,,,+++*********+++++++++,,,,,,++++++***))))))***++++++)))((((((((())))))***+++(((((()))))))))*********&&&&&&'''((((((((((((((('''''''''((((((((())))))(((((((((((((((((((((((((((((((((((())))))))))))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&((((((((((((((((((((((((((((((((((((((((((((((((***)))(((((()))(((&&&$$$&&&&&&''''''((())))))***&&&&&&''''''((('''''''''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&'''((())))))&&&&&&'''''''''(((((((((&&&&&&'''''''''''''''&&&((((((((((((((()))******((((((((((((''''''''''''%%%&&&''''''((('''''''''''''''((((((((()))))))))))))))(((((((((((())))))(((((('''''''''&&&&&&&&&&&&&&&'''(((((()))******(((((('''''''''(((((()))''''''''''''''''''''''''%%%$$$$$$%%%'''((('''&&&&&&'''((('''%%%$$$%%%&&&%%%)))---,,,(((%%%&&&(((%%%&&&&&&'''((((((''''''(((((('''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''(((((())))))(((((()))((('''''''''''''''(((((((((((((((((((((((((((%%%%%%&&&&&&&&&'''''''''''''''''''''(((((((((((((((((((((((()))))))))))))))))))))((('''&&&&&&&&&++++++)))&&&$$$%%%***...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,.../////////...---,,,------...///000000111///000444999>>>JJJaaauuu222222111111111111222222111111000000000000111111111111222222222333333333222333333333333333333444333333333333333333333333000000//////000111222222/////////000111111222222111222333444555555555555666666666666666555555555555555666777777888777777666666555666666777888888888999999777555444777:::666666555555555555666666333333444666777888999:::888888888888888888999999555555555555555555555555777666666666555555555555000000///...............000000111222222222222222//////......---------,,,,,,------...///000000111000000111222222333444444555555444444444333333333555555555555555555555555222333333333333222111111222222111111111111222222333222222111111111111111///......------......///................................................------------------------...------,,,,,,------...((()))***+++,,,---------++++++******++++++,,,------,,,+++******+++,,,---)))))))))))))))***++++++))))))))))))************(((((()))***++++++******''''''''''''((((((((()))((((((((()))))))))))))))&&&&&&'''((()))***++++++))))))))))))))))))))))))(((((())))))))))))(((((((((((((((((((((((((((((())))))))))))))))))))))))&&&&&&&&&''')))***)))(((&&&&&&&&&'''((())))))***%%%&&&'''(((((('''&&&%%%(((((('''''''''&&&&&&&&&$$$$$$$$$%%%''')))***+++&&&&&&&&&&&&'''''''''((($$$%%%'''((()))*********((((((((((((((()))******)))(((((((((''''''''''''$$$%%%'''((((((((('''&&&(((((((((((())))))))))))(((((())))))))))))((((((******))))))((((((((('''%%%&&&&&&'''((())))))***(((((('''''''''(((((()))((((((((((((((((((((((((***)))(((((()))***)))'''&&&((())))))((((((***+++$$$'''***)))'''%%%%%%'''%%%%%%&&&'''((((((((('''(((((('''''''''&&&&&&&&&'''''''''&&&&&&''''''''')))(((''''''''''''((()))((((((''''''''''''(((((())))))))))))))))))))))))(((((((((((())))))))))))''''''''''''((((((((()))(((((((((((())))))))))))(((((('''&&&%%%%%%$$$$$$$$$***---,,,*********------------------------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,.../////////......------......///000000000000111666:::>>>HHH]]]qqq555555444444444333333333333222222111111222222333444444444444444444444444555444444444444555666666777777777777777777777777333333333333333333333333222333333444444333333222444444555555555555444444555555555555555555555555666666666666666666666666444777999777222000222555444444444555555666777888555777666333555888777333555666666666666555555444666666555555555777888999888777666444444555555666777666666666666555555555222222111000000000000000000000000111222222333333111000000///...---------............///000222222222222222222333444555555555555444444444333333333666444333333444444333111111222222333333222222111333222222111111222222333111111111111111111111111111111111111000000//////000000000000//////......111222222000---++++++,,,........................---------,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++*********++++++))))))))))))++++++///,,,+++,,,...///---+++***+++,,,+++)))((()))***(((((())))))*********+++************************))))))))))))))))))))))))++++++******)))((((((((((((((((((((((((((((((((())))))))))))))))))))))))******)))((('''&&&&&&%%%&&&''''''''''''''''''&&&$$$$$$%%%%%%%%%&&&&&&&&&((((((''''''''''''((((((''''''''''''&&&%%%$$$###&&&&&&&&&'''''''''((((((''''''''''''((((((((())))))***,,,+++)))(((((()))******))))))(((''''''''''''&&&&&&&&&&&&'''((((((*********)))((((((''''''%%%%%%&&&'''((()))******(((((((((((((((((((((((((((((())))))((('''&&&&&&))))))))))))))))))))))))******))))))((((((((('''&&&''''''((()))((((((((((((((((((((()))))))))))))))'''%%%$$$%%%&&&&&&%%%%%%&&&''''''((((((''''''***((('''((()))***)))'''((((((((((((((('''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''((((((((((((((())))))))))))))))))))))))(((((())))))))))))((((((''''''((())))))((('''&&&(((((((((((((((''''''&&&***++++++++++++***))))))+++++++++***((('''%%%$$$''''''((()))***++++++,,,)))***+++,,,,,,+++)))(((+++++++++++++++++++++++++++,,,...000000///...---,,,---...///000000000000333222555;;;>>>FFFZZZppp555555555555444444333333444444333333333333444444444444444444444444444444555444444444444555666666666666666666666666666666333333333333333333333333333333444444444444333333444555555666666555555444555555555555555555555555555444444333333444444555888;;;===;;;777555777:::555555555555666777888888777888777555666999888444666666777777777666666555888777666666666777888999888777666555555555666666666666666555555555444444222111111000000000000000000000000111111222222222111000000///......------///.........///000111111222222111222222333444555555555555444444444333333888777555555666777555444222222333333333333222222333333222222222222333333222222222222222222222222222222222111111000000000333333333222222111111111111222222111...------...000000000000000000000000------------,,,,,,,,,,,,........................---------------------------------------,,,,,,,,,...------,,,,,,------...///---+++,,,...///...,,,+++,,,---,,,*********+++************++++++++++++++++++++++++++++++++++++************************************************((((((((((((((((((((((((((((((((((((((((((((((((*********)))((((((''''''''''''((((((((((((''''''&&&&&&&&&&&&'''''''''((((((((((((''''''((((((((('''''''''(((''''''&&&%%%&&&&&&'''''''''((((((((('''''''''((((((((()))))))))***++++++)))(((((())))))))))))))))))))))))***((((((''''''(((((()))***(((((((((((((((((())))))******************++++++(((((((((((((((((((((((((((((())))))(((''''''&&&)))))))))))))))))))))))))))))))))(((((('''''''''''''''((())))))))))))(((''''''((((((((()))))))))+++)))''''''((()))((('''%%%&&&''''''((((((''''''***((('''((()))***)))'''''''''((((((((((((((((((((((((''''''''''''((((((%%%&&&&&&'''((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&((()))))))))))))))((('''&&&'''((())))))(((((('''(((((((((((((((''''''&&&''''''((()))******))))))************)))'''&&&%%%(((((())))))******++++++)))***++++++,,,+++******+++++++++++++++++++++++++++,,,.../////////---,,,,,,---...///000000000000222000333999<<>>QQQfff555666666666666666666666444444333333333333444444666666666666666666666666555444444444444555666666555555555555555555555555444444444444444444444444444555555666666555555444555666666666666666666555777777777777777777777777666555222111111222555666555666666666444444444555555555555555666777888999;;;===<<<999;;;>>>===999777777777777888999;;;<<<<<<;;;;;;;;;::::::999999888888888888888777777777444333333333333222222222000111222333333222111111222111111000000/////////////////////............000///...............///000000000000111222333333444444555555555555555555888666666666888888777666333444444555555444444333555444444333333444444555444444444444444444444444333333333333333333333444222222222222222222222333111222444444333333555666222222222222222222222222111111111000000000//////////////////////////////000000000000000000000000------......//////000000////////////////////////////////////////////////000111222111/////////000111111000000//////......................................................///.........---------,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,)))))))))***++++++,,,,,,***++++++,,,,,,++++++***))))))))))))************))))))***++++++***))))))((((((***+++,,,---------((((((((()))))))))******)))))))))************+++((()))++++++***))))))***,,,,,,,,,,,,++++++******((((((''''''(((((()))***))))))((((((''''''''''''$$$$$$%%%&&&&&&'''(((((())))))))))))))))))))))))(((((()))))))))))))))(((''''''''''''''''''''''''&&&&&&''''''''''''''''''%%%%%%&&&''''''''''''&&&&&&&&&&&&&&&'''''''''(((*********+++------***(((&&&'''(((((())))))((((((***((('''((()))***)))'''&&&''''''((()))***++++++)))((((((''''''(((((()))''''''((())))))))))))))))))))))))))))))))))))))))))))))))))))))((('''''''''''''''((()))***++++++(((((((((((((((''''''&&&++++++,,,,,,,,,++++++***'''(((((()))))))))))))))*********))))))))))))))))))******++++++,,,---...*********++++++,,,,,,,,,++++++,,,,,,,,,---,,,,,,---...//////////////////000///222777999>>>PPPddd444555555555555666666666444444333333333333444444555555555555555555555555555444444444444555666666555555555555555555555555444444444444444444444444555555666666666666555555555666666777777666666555666666666666666666666666666555444333333444555666555555555555555555555555444444444555555666777888999;;;:::999;;;>>>>>>:::777666666666777999;;;===:::;;;;;;;;;;;;;;;:::999888999999999999888777777444444333333333222222222111222333444555444333222222222111000//////......//////////////////...............---......//////////////////000111222333333333333444444444444444666444444444666777666555333333444444444444333333444444333333333333444444444444444444444444444444222222333333333333444444333333444444444444555555111333444444444444555777222222222222222222222222222222222222111111111111000000000000000000000000111111111111111111111111...///////////////000000111111222222222222111111///000111000///...///111111222333222000///000111111111000000000000000000000000000000000000000000////////////////////////111000000///......------................................................***+++++++++,,,,,,------,,,,,,,,,------,,,,,,,,,)))************+++++++++)))***+++,,,,,,+++***)))((()))***+++,,,---------))))))))))))************)))*********++++++++++++(((***,,,,,,+++***+++,,,------,,,,,,+++******)))(((''''''''''''((())))))+++******)))((((((''''''%%%&&&&&&''')))******+++))))))))))))))))))))))))(((((()))*********))))))'''''''''''''''''''''''''''''''''''''''(((((((((%%%%%%&&&''''''''''''&&&&&&&&&'''''''''(((((((((&&&%%%%%%&&&(((((('''%%%''''''((())))))))))))(((***((('''((()))***)))'''((((((((())))))*********(((''''''&&&&&&''''''((((((((()))************)))(((((((((((((((((((((((((((((())))))))))))(((((((((((((((((()))***++++++(((((((((((((((''''''&&&)))))))))))))))((('''''''''((()))))))))))))))((()))))))))))))))*********+++++++++++++++,,,---...*********++++++,,,,,,---,,,,,,,,,,,,------------......///////////////...000///333888999===NNNbbb333333444444555555555555555555444444444444555555444444444444444444444444555444444444444555666666555555555555555555555555555555555555555555555555666666666777777666666666666666777777777777666666555555555555555555555555555555444444444444555555333222222222333333333222333333333333444555666777666888888777:::>>>>>>;;;666555555555777999<<<===888999:::;;;;;;;;;::::::999999:::::::::999888777444444444444333333333333222333555666777666555444333222111000///...------.../////////////////////------------......///000///////////////000222222222222222333333333444444111000///000222333222111222222333333333333222222333333222222222222333333333333333333333333333333111222222222333333333333222333333333444444444444111333444444444444555666222222222222222222222222333333333333222222222222111111111111111111111111222222222222222222222222111111111111000000000000000111222333333222111000///000222111///...000222111222333222000///000111000000000000000111111111111111111111111111111111000000000000000000000000000000000000000000//////000000000000000000000000......................................./////////---------......---------++++++,,,,,,,,,---------)))***,,,------,,,***))))))***+++,,,,,,,,,,,,,,,)))))))))*********++++++*********+++++++++,,,,,,)))+++------,,,,,,,,,...+++++++++++++++*********))))))(((((())))))***+++***************)))))))))((()))))))))******++++++))))))))))))))))))))))))(((((()))***************))))))))))))))))))))))))'''''''''(((((()))))))))&&&'''(((((())))))((((((''''''((((((((()))))))))%%%###"""###$$$&&&%%%%%%''''''((()))))))))))))))***((('''((()))***)))''')))))))))))))))))))))***(((''''''&&&&&&''''''((('''(((((()))))))))))))))((((((((((((((((((((((((&&&'''((())))))******)))***))))))(((((()))***+++(((((((((((((((''''''&&&&&&''''''(((((((((''''''((()))))))))))))))((('''(((((())))))******++++++---,,,+++++++++,,,------)))******+++,,,,,,---------------------......///......////////////......000///222777888;;;LLL___333333333444444444555555666666555555555555666666444444444444444444444444555444444444444555666666555555555555555555555555555555555555555555555555666666777777777777666666666666777777777777666666555555555555555555555555444444444444444444444444444333222333444444444333333333333333333555666666444666666666999>>>>>>;;;555555444444666999<<<===777888:::;;;<<<;;;;;;:::999999:::;;;:::999888777555555444444444444333333333444666777888777666555333222111000///...---,,,.........///////////////,,,,,,,,,---...///000111.........//////000111222111111111222222333333333222111000111333444444222111222222333333222222111333222222111111222222333333333333333333333333333111111111222222333333333000000000111111222222222222333444444333333444666333333333333333333333333444444333333333333222222333333333333333333333333333333333333333333333333444333333222222111111111...///000111111000///...///111333222///...000222111222333222000///000111//////000000111111111222111111111111111111111111000000000000000000000000/////////000111111222222000000000000000000000000........................111111111111000000000000------............---------------.........//////)))***,,,------,,,***)))******+++,,,,,,,,,++++++)))************+++++++++******+++++++++,,,,,,,,,***,,,......---------///)))))))))******+++,,,,,,*********)))***++++++,,,)))))))))***++++++,,,,,,************))))))))))))))))))))))))))))))))))))(((((()))***************************************'''((((((((())))))******((())))))***************(((((((((((())))))))))))+++)))'''''')))+++++++++'''(((((()))))))))))))))***((('''((()))***)))(((*********)))))))))))))))((((((''''''''''''((((((&&&''''''((((((((((((((())))))))))))))))))))))))%%%&&&''')))************+++***)))(((((()))******(((((((((((((((''''''&&&%%%&&&''')))************)))))))))))))))((('''''''''(((((()))***++++++,,,...---,,,+++++++++,,,---))))))***+++,,,,,,------...------------...//////...///////////////......///...222777777:::JJJ^^^555555555444444333333333333444444444444444333333666666555555555444444444555444444333333444444555222333444444555555444444444444444444444444444444666666666666666666666666777777777777777777777777666666444444444444666666444555666777777777555555444444444444444444444444333333333444444444555555555666666666555444333333444555555666777888888999999999999999999999999999999999999999999888777666777666555555555555666666666666777777777777666666888777555222000---,,,+++,,,---.../////////...---...///000111111111000//////...,,,+++++++++,,,---......//////////////////222222111111111111111222222222111111000000//////000000000000000000000000000000111222333333444444444444333222222333333333444444444555555555666666888888888888999999999999666666666666666666666666777777666666666666666777444555666777777777777777666666555444333333222222000000000000000111111111000000000000000000000000///000111111000111444666000000111111111111000000///000111222222333222222444333222222111111222222111111111111111111111111222000...---,,,---...///111111111111111111111111000000000000000000000000111111000000//////......////////////////////////---------,,,,,,++++++++++++,,,---......,,,+++)))++++++++++++++++++++++++***++++++,,,,,,++++++***---------,,,,,,,,,++++++...---,,,+++***+++,,,---,,,,,,,,,++++++*********+++++++++++++++++++++++++++*********))))))(((((('''))),,,+++)))''')))***+++++++++*********)))))))))))))))))))))((('''''')))))))))))))))*********+++++++++*********))))))+++*********))))))((((((++++++******************'''(((***)))(((''')))***))))))))))))***************************)))(((((()))))))))***)))((((((''''''((()))***++++++************))))))((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%))))))))))))))))))))))))''')))***++++++***)))'''%%%&&&'''(((((('''&&&%%%+++***)))(((((()))***++++++*********))))))(((((())))))))))))***+++,,,------***((((((***+++)))&&&***+++,,,---...---,,,+++000///...---,,,------...//////.........---------......000333555<<>>III777777666666666666666666555666777888999999999999777777777888888999999999999999888888888888999999888888999::::::::::::999999999999999999999999999999999999999999999999999888888888888888888888888888999::::::::::::999888888888888888777666555444555555555555555555555555666666777777777888888888666777888888999999999888999999999999999999999999999999999999999999999999555666777888888888888777888888888888999:::;;;<<<:::;;;;;;<<<<<<;;;;;;:::;;;;;;:::::::::999999999666555333222111111222222...000222444777999::::::777666555333111000///////////////...............---...000222333333222111222222333333333444444444222222222222222222222222555555555555555555555555111222444666777666555555555666666666777777777777999999:::::::::;;;;;;;;;888888888888888888888888444444444444555666777888555555666666777666666666333333333333333333444444333333333333222222222222111111111111111111111111222222111...------000333555555555666666555555555444444555666777777777777666666555444444444444444222222222222222222222222333333444444555555555555333333333333333333333333111111111111111111111111000000111111111222222222000000000000000000000000/////////000000000111111000000///...............------------------------,,,,,,------------,,,,,,,,,,,,,,,------.........---,,,,,,,,,,,,,,,------+++++++++,,,,,,,,,------------------------------,,,,,,,,,,,,++++++++++++...,,,+++---//////---+++,,,,,,,,,,,,---------...,,,,,,---........................---,,,,,,++++++,,,,,,+++++++++*********((()))))))))************((((((((()))***+++++++++...//////...,,,***+++,,,))))))))))))************(((((()))******************)))))))))(((((((((((())))))******************'''((((((((()))))))))***************************))))))))))))))))))))))))))))))(((((((((((())))))((())))))******))))))(((((()))***++++++***)))(((((()))))))))************)))((((((((()))***++++++*********+++------,,,+++***++++++,,,,,,,,,,,,,,,***+++,,,---...------,,,---------........./////////...000222222444===HHH999999888888777777666666555555666888888999999999777777888888999999999999:::999999888888999999:::777888999999::::::999999999999999999999999999999999999999999999999999999888888888888888888888888555666777888888777666555888999999999999777555444666666666666666666666666777777777777888888888888666777888999999999999999999999888888888888888888999999999999999999999999555555666777777777777777888888888888999:::;;;<<<;;;;;;<<<<<<<<<<<<;;;;;;888999999::::::;;;;;;;;;888777555444333333444444111222555777999:::::::::444333111///......//////000000000111111111111111---///111333444333222111333333333444444555555555222222222222222222222222666666666666666666555555111222444666777777666555666666666666777777777777555666666666666777777777777777777777777777777777333333333444444666777777333333444555555666555555333444444444444444444444222222222222222222222333222222222222222222222222333333111000///222777:::555555666666666666555555444555666777777888888888555555444333333333333444111111111111111111111111000111222222333333333222333333333333333333333333222222222222222222222222000000111111222222222222000000000000000000000000000000111111222222222222111111000///////////////------------------------,,,------......------,,,)))))))))******+++++++++000///...,,,,,,---...///,,,,,,,,,------.........------------------------,,,,,,,,,++++++*********...,,,+++,,,//////---***---------.........//////,,,,,,---.../////////...//////...---,,,,,,++++++---------,,,,,,,,,++++++(((((())))))*********+++&&&''''''((()))******+++---......---+++******+++))))))))))))************(((((()))******************++++++++++++***))))))'''((()))***++++++******'''((((((((())))))******(((((((((((((((((((((((())))))))))))))))))))))))******))))))))))))******)))***+++,,,,,,+++***)))((()))***++++++***)))((((((((())))))*********+++))))))))))))***+++,,,---,,,)))(((***...111222000***+++,,,---...---,,,,,,)))***,,,---...------,,,---------.........//////......000222222444===HHH555555555555666666666666777777666666666666777777666777888999999888777666<<<<<<;;;:::999888777666999888888777777777777777666666666666777777777777999999999888777666666555888888888888888888888888222444777888888888:::;;;999999999888777666666555777666555444444555666777888888888888888888888888999999:::;;;;;;;;;;;;:::::::::::::::::::::::::::888888888888888888888888777666666555555555666666888888999999999::::::::::::::::::;;;;;;;;;<<<<<<;;;;;;;;;;;;;;;;;;::::::;;;;;;:::999777555444333333555888::::::888555333444333333222222333333444111111000000111222333333333333333444444555555555555555444444444444333333444333222222222333444555444222111222444444000---111333444666777777666666666777777777888888888888999999888888777777666666777777666555555555555555999555222111444666666555666666666555555444444444555555444444333222111111000000111111222222222333000000000000000000000000111333444666666555444333333444444555555444444333555555666666666666555555777666555444333444444555333444444555555444444333000111222222333444555555444444444333333222222222444444444444444444444444222222222111111111111000000000111111111222222222/////////000111111222222000000000000000000000000////////////////////////000000//////.........---//////000///...+++)))(((---,,,***))))))***,,,---,,,++++++***+++,,,...///++++++,,,,,,---...//////////////////////////////,,,,,,,,,,,,,,,,,,,,,,,,///...------,,,,,,,,,,,,........................111000...---,,,,,,---...//////...---,,,,,,++++++...---+++)))((('''((((((((('''&&&%%%&&&(((***++++++***)))'''''''''((())))))************+++++++++,,,+++***))))))***+++,,,---,,,*********,,,...///))))))))))))***************)))'''''''''(((***+++((((((((((((((((((((((((***)))(((''''''((()))***))))))))))))))))))))))))(((((())))))******++++++))))))***+++,,,,,,,,,,,,)))************+++++++++************+++,,,------)))((()))+++---...---,,,((()))+++,,,------,,,,,,/////////......---------+++,,,---...///////////////...///222333555<<>>GGG888777666555555555555555666666555444444333222222555555444444555555666777222333555666777666666555555555444444444555666666555444444333333444444555777666555444444444444444444444444444444444444444666666555444444444444555555555555555555555555555222222444444555444333222222222222222222222222222//////000000111333444555111111111111111111111111111111111000000000000000000000111111222222222333222222333333333444444444222444666999:::::::::999777777777777888888888888::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;==============================<<<<<<<<<;;;;;;;;;:::;;;<<<<<<::::::;;;<<<;;;;;;::::::999999::::::::::::999888777777777888;;;:::999888777777777777555777999;;;:::777333000666555555444444333222222555555555555666777999999999888888777777777777777777777777777888999:::;;;::::::;;;<<<<<<;;;::::::;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<;;;::::::999888888555555444444444333333333333333444444555666777777:::999777666555555555555444444444333333333222222111111111111111111111111222222222333333222111111000111111111111222222222222222111111111111222222111111222222333444555555444333222111000000000000000000111111111000000///111111222222222333333333222222222222222222222222222222222222222222222222333333222222111000//////222222222333333444444444///000111333333222111000......//////000000111111111111111000///.........000000000000000000000000............///111222222111111111111111000///...000000000000000000000000111///...///111222///---000/////////............//////.........---------///......------,,,,,,+++++++++,,,,,,,,,---------++++++++++++,,,---......))))))***+++,,,,,,---------***&&&$$$&&&***,,,...---+++))))))*********)))************************,,,+++))))))***++++++***++++++,,,,,,,,,++++++***///---)))%%%"""$$$(((+++...---++++++,,,---,,,,,,---------,,,,,,++++++++++++,,,,,,+++***)))+++,,,......---,,,---...///000---,,,+++...000...&&& !!!+++111///...333777888000000000000////////////.........//////000111222...///111111222555:::===666666555555444444444444666555555444333333222222222222222222222333444444333444444555555555555555444444444444444555555666555444444333333444444555666666555444444444444444444444444444444444444444555555444333333333333444444444444444444444444444222333444444444333222111222222222222222222222222000000000000111222333333111111111111111111111111111111111111000000000000000000111111111222222222222222222222333333333444333444666888999999888777999999888888888888888888::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;==============================<<<<<<<<<;;;;;;;;;:::;;;<<<<<<::::::;;;<<<;;;;;;:::::::::::::::;;;999999999888999999::::::999888888888888888999:::888888888888777666555444555555555555444444444444555555555555666777888999999999888777777777777777777777777777888999:::;;;999:::;;;<<<<<<;;;:::999::::::::::::::::::::::::;;;;;;;;;:::999999888888777777777666555555444444111111222222333444444555888777666444333333444444444444444333333333333222222222222222222222222222333444444444444444333333111111111222222222333333222222111111111111222222222222333333444555555666666666555444333333333333222222222333333222222111111111111222222222333333222222222222222222222222333333333333333333333333222222222222222222222222333333333333333333333444222222222333222222111111/////////000000000000000//////000000000000000000000000000000000000000000///////////////000111222222111111111000000000000222222111111111111111111222000///000111222///---000000/////////.........---------,,,,,,,,,++++++------------------------++++++,,,,,,,,,---------,,,++++++++++++,,,,,,---)))******+++,,,,,,------...+++(((''')))+++---...,,,+++***+++,,,,,,***)))************************,,,***))))))+++++++++***+++++++++,,,,,,++++++***,,,,,,+++)))&&&%%%'''((()))((('''''')))*********---,,,,,,,,,++++++++++++***+++,,,+++******+++------,,,,,,+++,,,---...///222///,,,---000111...+++%%%---111///...222444333000/////////////////////............//////000111...000111111222555:::===555444444444444333333333555555444444333222222222222222111111222222333444555555444333333333333444333333333444444444555555555555444444444444555555555555555555444444444444444444444444444444444444555555444333333333333333444444444444444444444444333333444333333222111000222222222222222222222222111111000000000111111111000000000000000000000000111111111111111111111111000000000111111111111111111111222222222333333333333444666777777777666555999999999999999999999999::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;========================<<<<<<<<<<<<<<<;;;;;;;;;999;;;<<<<<<;;;::::::;;;;;;;;;;;;:::;;;;;;<<<<<<:::999999::::::;;;<<<===888888888888999:::;;;<<<;;;:::888666555666777888555555555666666666666777555555555555666777888888:::999888888777777888888888888777888888999:::;;;999::::::;;;;;;::::::999999999999999999999999999:::::::::999999888888777888777777666555555444444111222222333333444444444888777666555444444555555555555444444444333333333333333333333333333333333555555666666666666666555222222222333333333444444333333222222222222333333333444444555555666666777777777666555444444444444222222333333333333333222111222222222222333333333333333333333333333333333444444444444444444444444111222222333444444555555444444444333333333333333555444333333222222222222000000000000000000//////......//////000111222222000000000000000000000000111000000000000000111111333222111000///000111111444333333333222222111111222111000111222222000...000000000/////////......---------,,,,,,,,,,,,++++++,,,,,,---......//////,,,,,,,,,,,,------------,,,++++++*********++++++******++++++,,,,,,------...,,,******+++------------,,,,,,,,,------+++)))++++++++++++++++++++++++,,,***)))***+++,,,+++******++++++,,,,,,+++++++++)))+++------***(((&&&&&&((((((((()))***+++------+++++++++++++++*********)))***++++++******,,,...,,,++++++++++++,,,------000+++'''&&&)))---//////+++///000......111111...////////////////////////.........---....../////////000111111222555999<<<333333444444444333333333555444444444333333222222444333333333333444555555777666444222222222333333222222333444444555555555555555444444444444555555555555555555555555555444444444444444444444444444666666555444444444444444444444444444444444444444444444444333333222111111222222222222222222222222333222111000000000000000000000000000000000000000000111111111111111222222111111111111111111111111111111111222222222333333444555555666666555444444666777777888888999::::::999999999999999999999999:::::::::::::::;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<999;;;======;;;::::::;;;;;;;;;;;;;;;<<<======>>><<<<<<<<<;;;<<<<<<======999999999999999:::;;;;;;<<<:::888777666777999:::555666666777888999999999777777777777777888999:::::::::999888888888888999888888888888999999:::;;;999999::::::::::::999999888888888888888888888888999999999888888777777777666555555444333333222222444444444555555555666666999888888888777777777888555555555555444444444444555555555555555555555555555555666777777777666666333333444444444555555555444444333333333333444444555555666666666777777777666666555444444333444444111222333333444333333333333333333444444444555555444444444444444444444444555555555555555555555555333333444444555555666666444444444444444333333333888666444333222222333333222111111000000/////////...//////000111111222222111111111111111111111111222222111000000000111111333222000//////000222333555555555444333333222222333333222222222111000///000000000////////////...////////////............,,,---------.........///,,,,,,,,,------------...,,,,,,+++***))))))))))))+++++++++,,,,,,,,,---------,,,++++++---...---,,,000...,,,+++,,,------,,,+++++++++++++++++++++++++++******+++,,,---,,,*********+++,,,,,,,,,++++++(((+++------+++)))'''&&&******+++******+++,,,...************************)))***++++++***+++---///,,,,,,,,,,,,,,,---------...)))$$$###%%%))),,,...///...------///000///,,,.........///////////////......------------......///000000111222444888<<<333333444555555555444333555555444444444444444333444444333333444444555666888777555333222222222333111222333444555555555555666555555444444555555666555555666777777777666555555555555555555555555555888888777666666666666666444444444444444444444444555444444333333222222222333333333333333333333333444333222111111000000111000000000000000000000000000000111111222222222333222222222222111111111111111111222222222333333333555555555555555444444333222333444666777999:::;;;999999999999999999999999999999999:::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<:::<<<>>>>>>===<<<;;;<<<<<<<<<<<<<<<===>>>???@@@@@@???>>>===<<<<<<<<<<<<<<<<<<;;;:::999999:::::::::::::::::::::999999999777777888999:::;;;;;;<<<::::::::::::::::::;;;<<<;;;::::::999999999999999999999999999999999:::;;;999999999888888999999999777777777777777777777777777777777777777666666666555444444444444333333333444444444555555555555555777777777888888888888888666666666555555555444444555555555555555555555555444444555666666666666666555555555555666666666666555555444444444444555555666666777777777777777888666666555555444444555555333444555555666666666555555555555666666666777777444444444444444444444444555555555555555555555555555555555555555555555555444444444444444444444444888777555333222222333333222222111111000000//////111111111111111111111111222222222222222222222222333222222111111111111222333222000//////111333444555555555555444444333333444444444444333111111000111000000000////////////000000/////////........./////////......---------,,,,,,---------.........,,,,,,+++***)))))))))))),,,,,,,,,,,,,,,------------,,,+++,,,------,,,***222///+++)))***,,,...///++++++++++++++++++++++++*********+++---...,,,***)))***+++,,,,,,,,,,,,,,,+++,,,---,,,***))))))***((()))***(((&&&%%%&&&(((************************)))***++++++***+++---///,,,------...............111///,,,++++++---.........,,,+++---...///......------....../////////000...------------......//////000000111111444888;;;444555666777777777666555666555555555555555555555333222222222222333444444888777666555444333333333111222444666777777666666666666555555555555666666555666888999999999888777777777777777777777777777999999888777777777777777555555555555555555555555555555444444444444555555555555555555555555555555555444333222222222222222111111111111111111111111000000111111222333333333333333333333333222222222222222333333333444444444555555555555555444444444111222333555777999:::;;;999999999999999999999999888888999999::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<;;;===@@@@@@???=========<<<<<<<<<===>>>@@@AAABBBBBBAAA???>>><<<;;;;;;;;;>>>===<<<;;;::::::::::::888:::<<<======;;;:::888999999::::::;;;<<<=========<<<<<<;;;<<<<<<======<<<;;;::::::999999::::::::::::999999999999::::::999888888777777888888999777777777777777777777777666666666666666666666666555555555666666666666777333333333333333333333333222333444555666666555555777666666666666555555555555555555555555555555555222333444555666666666555666666666777777777777888666666555555555555666666777777777777777777777777888888777777666777777888666666777888999999999999555666666666666777777777555555555555555555555555555555555555555555555555666666555555555555555555333444444444555555555555666555444444333333333333111111111111111111000000111111111111111111111000222222222222222222222222333222222222222222333333222222111000111222333444444444444444444444555555444666666555333111111222111111000000000/////////.........---------,,,,,,000000//////...------,,,,,,---------............,,,++++++*********++++++,,,,,,,,,,,,------------...,,,++++++------,,,***222///+++)))***,,,...///,,,,,,,,,,,,,,,,,,,,,,,,***)))***,,,......---+++)))***++++++,,,,,,,,,,,,,,,------+++))))))***,,,+++,,,---+++'''%%%'''************+++++++++++++++)))***++++++******,,,...,,,---.../////////......000000000///...---,,,,,,...++++++------,,,---000---------......//////000------------...///000111///000000000111333777:::555666888::::::999888777666777777777777777777777444444333333444444555666777777777777666555555444111333555777888888777777666666555555555555666666666777999;;;;;;:::999888888888888888888888888888999888888777666777777777666666666666666666666666555555444444555666888888666666666666666666666666555555444333333333444444222222222222222222222222000000111222222333444444555555555444444333333333333333444444444555555555555555555555555555666666444444555666777888999999888888888888888888888888777888888999::::::;;;;;;::::::::::::::::::::::::;;;;;;;;;<<<<<<<<<======<<<>>>AAABBBAAA???>>>>>><<<<<<<<<===???AAABBBCCC@@@@@@???===<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;<<<999:::<<<======<<<;;;:::;;;;;;;;;<<<<<<===============<<<<<<<<<<<<<<<===<<<<<<;;;:::::::::::::::;;;::::::999999:::::::::999888777777777777888999777777777777777777777777555555555555555555555555333444444555666777888888333333333333333333333333000111333444555555555444777777777666666666555555555555555555555555555555222333444555666666666666777777777888888888888999777666666555555666666777777777777777777777777777777777666666666777777888444555666777888888888888444444555555555666666666555555555555555555555555444444444444444444444444333444444555555666666666222333333444555666777777333333444444444333333222111111111111111111222222000000000111111222222333333333333333333333333333222222222222222333444555111111111222222333333333222333333444444555555666555777888777333111111222111111111000000000//////............------------////////////............------------............,,,++++++++++++,,,,,,---------------------------000...,,,,,,---...---,,,///---++++++,,,---,,,+++,,,,,,,,,,,,,,,,,,,,,,,,))))))***---//////---+++))))))***+++,,,,,,,,,,,,+++---------+++***+++,,,,,,///000...***(((+++...++++++++++++,,,,,,,,,---***+++,,,+++******+++---+++,,,---.........------,,,---------,,,***))))))...,,,,,,...,,,(((***111,,,,,,---......///000000,,,,,,---...///111222333///000000000000333666999666777999;;;<<<;;;:::999777777777777888888888888777666666666666777888888666777888888888777555444222333666888999999888888666666555555555555666666777888:::<<<<<<<<<:::999999999999999999999999999888888777666666666666666777777777777777777777777555555555555666888999;;;777777777777777777777777555555444444444555555666333333333333333333333333000000111222333333444444666666666555555444444444444444444555555555666666555555555555555666777777777777777777777777777777888888888888888888888888777777888999::::::;;;;;;::::::::::::::::::::::::;;;;;;;;;<<<<<<<<<=========???CCCDDDBBB@@@??????<<<<<<===>>>???AAACCCDDD>>>>>>===============>>>;;;;;;;;;;;;;;;<<<===>>>;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<===============<<<<<<;;;;;;;;;<<<<<<<<<<<<;;;::::::::::::;;;;;;;;;:::999999:::::::::999888777666666777888999888888888888888888888888444555555555555555555555000111222333555666777888555555555555555555555555111222444666777777666666777777777777666666666666555555555555555555555555333444555666777777777777777888888888888999999999777777666666666666777777777777777666666666666666555555444444444444555666111222333444555555555555333333333444444444555555666666666666666666666666444444444444444444444444111222333444555777888888111222333444555777888888111222333444444444333222000000000111222222222333......///111222333444555333333333333333333333333111111111222333444555666000111222333333333333222111222222333444555666666555777999777444111222333111111111111000000000000111000000000////////////------......///000000000---------.........//////++++++++++++,,,---......------------------------222000...---...///......++++++,,,...///...***''',,,,,,,,,,,,,,,,,,,,,,,,))))))***---//////---+++((()))***+++,,,---------***,,,...///---+++++++++(((+++---+++((('''***...+++++++++,,,,,,---------+++,,,,,,+++***)))+++,,,***+++,,,---...---,,,,,,+++,,,---,,,+++******+++...---...///***$$$(((000,,,,,,------...///000000,,,,,,---...000222444555///000000000000222666999888:::===???@@@???===<<<;;;<<<=========<<<;;;:::666666777888888999999:::666666777777777888888888666666777888999::::::;;;<<<;;;999888888999:::;;;888888999:::;;;;;;;;;:::999888888777777888888999:::::::::999999999888888555555555555555555555555:::999777555444444555666999999999999999999999999666777777777777666555555222///---000555666444000444444444333333333333333555555666666666777777777555555555555555555555555444444333333333333444444444444555666777999:::;;;======<<<;;;::::::999999999999888777888999:::;;;>>>===<<<;;;;;;;;;;;;;;;<<<<<<<<<<<<============<<<===???CCCFFFEEE@@@;;;???===<<<>>>BBBDDDCCCAAA>>>======<<<======>>>>>>======<<<<<<<<<<<<======:::::::::;;;;;;;;;;;;;;;<<<<<<===>>>>>>???>>>>>>::::::999999999;;;<<<======<<<<<<<<<<<<;;;;;;;;;555666777999;;;<<<>>>???888888888888888888888888888888888888888777666666222333333333444444555555444444333333333333444444222222333333333333444444222333555666777777666666999888777777666666777777555555555555555555555555666666666555666666777888999888777888:::;;;:::999999888666444444444444555222333555777666555444333666666555666666777888888333333333333333333333333222222333333444444555555666555333222111111222333111111222222222222333333111222222333444555666666555555555555555555555555000111222222222111000///222222222222222111000///222222222333333333444444111222333333222222333444333333333333333333222222222222222333333333333333222222333333333333333333333333444444555555666666222222222111111111000000111111111000000000//////000000000000111111111111222111111111000000//////,,,,,,---...////////////...............------------,,,,,,,,,,,,---......111///,,,---...///,,,***+++---///...,,,+++---///........................---,,,+++*********+++,,,---------+++)))((()))***,,,,,,,,,,,,,,,,,,,,,,,,,,,***)))+++---...+++)))++++++,,,,,,,,,,,,+++++++++++++++,,,,,,,,,------++++++***))))))))))))***///...,,,++++++,,,...///,,,---000222222111///---***+++---...000111222222222111111222333555777999888:::<<<>>>???>>><<<;;;===============;;;:::999;;;::::::::::::999999999999999999999::::::::::::777777777888999999::::::::::::999888888999:::;;;:::;;;;;;<<<<<<<<<<<<;;;;;;;;;::::::::::::;;;;;;999999999999888888888888888888888888888888888888===<<<:::888777777888999::::::::::::::::::::::::999999999999999888777777555333222444888:::777444666666666666666666666666777777888888888999999999999999999999999999999999777777777666666777777777777777777888999:::;;;<<<:::999999888777777666666;;;:::999999999:::;;;<<<:::999999888777777888888;;;;;;;;;<<<<<<<<<======;;;;;;===@@@CCCCCC@@@<<<<<<===>>>AAACCCCCCAAA?????????>>>>>>===>>>>>>>>>???>>>>>>======>>>>>>???<<<<<<<<<<<<<<<<<<<<<<<<888999::::::;;;;;;;;;:::<<<<<<;;;;;;<<<===>>>???;;;;;;;;;:::::::::999999;;;;;;;;;;;;;;;;;;<<<<<<:::::::::::::::999999999888888888888888777777666444444555555555666666666444444333333333333444444111111111111222222222222555666888999:::999999888888777666666555555666666666666666666666666666666888777777777777888999999:::999888999;;;<<<;;;::::::999777666555555666666555666777777666555444444777666555333333333444444555555555555555555555555444555555555555555555666777666444333222222333333000000111111111222222222222333333333333333333333444444444444444444444444222333444444444333111111111111111000000/////////000000111111111222222222666777777666444333444555555555555555555555555555444444444444444444444444333333333444444555555555333333444444444444444444333333333333222222222222111111111000000000000///---------------,,,,,,,,,......------,,,,,,,,,,,,++++++,,,,,,,,,++++++***,,,,,,,,,,,,,,,------------------------......///...---,,,---000111000///)))+++,,,+++))))))***,,,......------------......,,,+++************+++,,,---......---+++***+++,,,,,,,,,,,,++++++++++++++++++)))((()))+++,,,***'''++++++,,,,,,,,,,,,++++++***++++++++++++,,,,,,,,,......---,,,,,,,,,,,,---,,,+++***))))))***+++,,,...............//////000,,,---......//////......////////////111333555666999:::<<<===>>>===;;;:::>>>>>>>>>======;;;:::999======<<<;;;999888777777999999999:::::::::;;;;;;888888888888888888888888888888888888999:::;;;;;;;;;<<<<<<<<<<<<;;;;;;:::<<<;;;;;;;;;;;;;;;;;;<<<999999999888888888777777::::::::::::::::::::::::>>>===;;;:::999999:::;;;:::::::::::::::::::::::::::::::::::::::999888888888666555777:::;;;999777777888888888888888888888888888999999999:::::::::::::::::::::::::::::::::999999888888888888999999:::999999999999:::;;;<<<<<<<<<<<<;;;::::::999999::::::999999999:::;;;<<<<<<;;;::::::999:::::::::;;;;;;;;;;;;<<<<<<<<<<<<>>>>>>>>>AAACCCDDDDDDBBB:::===AAACCCBBB@@@???>>>@@@??????>>>============??????>>>>>>>>>>>>??????<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;<<<<<<======<<<<<<<<<<<<<<<<<<===>>>???@@@=========<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;::::::;;;;;;;;;::::::999999999888888999999888888777666555555555555666666666666444444333333333333444444333333444444444555555555666777888::::::::::::999;;;:::999999888888999999666666666666666666666666888777777777777888999999:::999888999:::;;;;;;999999999777666666666666666777888999888666555555666999888555444333444555666666666666666666666666666555555555555555444444444555444333222111111111222000000000111111111111222444333333333222222222111333333333333333333333333333333333444333222222111111000///.........///000//////000000000111111111888999999888555333444555555555555555555555666666555555444444333333222222222222333333444555666666444444444333333333333333333333333222222222111111000000/////////.........000000//////......------////////////............///000000///...---,,,,,,.........//////000000000,,,,,,++++++,,,,,,---...---,,,,,,---///000000///,,,.........---,,,---.........,,,,,,,,,,,,......///......---......//////+++---------++++++,,,---,,,,,,,,,++++++*********,,,++++++,,,------,,,***+++,,,,,,------,,,,,,+++*********+++++++++,,,,,,//////...------------...///...---,,,,,,---...///000...,,,******---000222////////////...---,,,+++000000000111222444666777999:::;;;<<<<<<;;;:::999============<<<<<<<<<;;;<<<;;;:::999888777777666777777777888888888888999999999999888888777777777777888888999:::;;;;;;<<<;;;;;;;;;;;;::::::999888::::::::::::::::::::::::::::::999999999888888888999999999999999999999999<<<;;;:::999999999::::::999999999999999999999999:::::::::::::::999888888777666666777999:::999777777777777888888888888888888888888888999999999999::::::::::::::::::::::::999888888888888888888999::::::999999999999::::::>>>>>>>>>=========<<<<<<888888888888999999::::::======<<<<<<;;;<<<<<<===;;;<<<<<<<<<<<<=========>>>>>>>>>???AAACCCEEEEEE===AAADDDCCC@@@>>>???AAA@@@@@@???>>>============>>>>>>============>>>>>><<<<<<;;;;;;;;;;;;;;;;;;======>>>??????>>>>>>>>>::::::;;;<<<<<<>>>>>>???=========<<<<<<<<<;;;;;;777888888999:::;;;;;;<<<;;;;;;::::::999888888888888999999999999888777777555555555555555555555555555555444444444444555555444444444555555555555666444555777888999999888888;;;;;;:::999999999999999666666666666666666666666777666666666666777888888888777666777999:::999888777777666666555555555555888:::;;;:::777777999<<<:::888666444444555777888555555555555555555555555555555444444333333222222333222222111000000//////000000111111111222222222333333333333333333333333333333333333333333333333222222222222111111000000111000...------...000111000000111111111222222222555666777666333222333444333333333333333444444444444444333222111111000000///000111222333444555666555555444444333333333222222222111111111000000000///............---------222111111000000/////////000000000000000000000000000000111111000///......------...///000000111111***))))))))))))***++++++...---,,,,,,,,,++++++***...////////////...//////...---,,,++++++,,,---.....................//////)))***,,,,,,******+++,,,---------,,,++++++******,,,,,,,,,---------,,,+++,,,------------------,,,++++++++++++,,,,,,,,,---...------,,,,,,,,,,,,,,,000///............///000000...,,,***+++---000222///////////////...---,,,000000111222333555666666888999::::::;;;::::::999:::::::::;;;<<<<<<======999999999999999999999999666666777777777777888888999888888777777666666555777777888999:::;;;;;;;;;;;;;;;;;;;;;;;;:::999888999::::::;;;;;;::::::999;;;:::::::::999999999999999999999999999999999999;;;;;;::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<;;;;;;:::999777777777888999999888777888888888999999:::::::::999999999:::::::::;;;;;;::::::::::::::::::::::::999999888888888888999999<<<<<<;;;::::::::::::;;;;;;;;;;;;;;;;;;:::::::::888999999:::::::::::::::::::::999999999::::::;;;<<<<<<=========>>>>>>>>>;;;;;;;;;;;;<<>>>>>??????@@@============<<<<<<;;;;;;;;;;;;<<<<<<<<<<<<;;;;;;:::;;;<<<===>>>??????@@@;;;:::::::::999999999999888999999:::;;;<<<<<<<<<<<<<<<;;;;;;;;;:::::::::999999999999999888777777777777666666666666666666666666555555555555666666222222222333333333444444444555777888999999888888999888777777666666777777777777777777777777777777888777777777777888999999999777777888999:::999888777777888777777777666666;;;===@@@???======@@@DDD???>>>;;;999777777777888666666666666666666666666666555555555444444333333333333333222111111000000111111111111222222222222111222222333444444555555333333333333333333333333333222222111111111111111222111///......///111222222222333333333444444444222333555444333222333555222222222222333333444444555444444333222111000000000111222333444555666666666555555444444333333333333222222222111111111111000000000000////////////............------,,,,,,------------------......***+++,,,,,,---------,,,***++++++,,,---......///***************++++++,,,---...------++++++***+++,,,++++++++++++,,,++++++---,,,+++******+++,,,---))))))******++++++++++++)))+++------,,,++++++,,,...---------,,,,,,,,,+++)))***++++++************------............------,,,,,,,,,,,,------------------,,,++++++++++++,,,,,,++++++++++++++++++,,,......---------...///000......///000000000//////......000111222444444555666777888999999:::::::::999999999999:::;;;<<<===888888999:::;;;;;;<<<<<<777777777888888888999999777777666666555555444444555666777888888888888888:::;;;;;;;;;;;;::::::999:::;;;<<<======<<<;;;::::::::::::999999999888888::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<===============<<<;;;;;;777777888888999888888777888888999999:::;;;;;;;;;::::::;;;;;;;;;<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;::::::999999999999::::::======<<<;;;;;;<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;999:::;;;<<<<<<<<<<<<;;;;;;::::::::::::;;;;;;<<<<<<<<<<<<============>>>===>>>>>>======???CCCFFFHHHFFFBBB>>><<<===AAADDDCCCBBBBBBBBBBBBBBBCCCCCCBBBBBBAAAAAAAAAAAABBBBBB@@@@@@??????>>>=========<<<============<<<;;;;;;:::;;;===>>>@@@@@@AAAAAA============<<<<<<<<<<<<===<<<<<<<<<<<<<<<;;;;;;========================999999999:::999999888777999999999999888888888888666666555555555555666666666666666666777777777777666777888::::::::::::999;;;::::::999999999999999999999999999999999999999:::999999999999:::;;;;;;:::999888999;;;;;;;;;:::888999999::::::999888888<<<@@@DDDCCC@@@@@@CCCGGGJJJIIIFFFCCC@@@===;;;:::888888888888888888888888666666666666666666555555555555555555444333222111000000000111111111222222000000111222333444555555222222222222222222222222333333222111111111111222111000/////////000111222222333333333333444444444111333444444333333444555222222333333444444555555555555444444333333222222333333444444555666777777444444444444333333333333444444444333333333222222222222222111111111000000........................---------............///***+++,,,------.........------......//////000000,,,,,,++++++,,,,,,---...***,,,------------...000---+++***+++,,,---,,,+++++++++++++++++++++++++++)))***+++,,,---------,,,+++---//////...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---//////---,,,---...+++,,,,,,------,,,,,,+++++++++,,,,,,,,,---------------,,,++++++++++++,,,+++,,,,,,,,,,,,,,,,,,++++++,,,---.........------,,,---...///000000000000111111333555666777777777444555666777999:::;;;;;;;;;:::999888888888999999555666666777888888999999666666666666777777777777444444444444444444444333222333444555555444444333666777777888888888777777999:::;;;<<<<<<;;;:::999888888888777777777777666888888888888888888888888999999999:::::::::999999;;;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;;;;;;;:::999999444555666666666555555555555555555666777888888888888888888888999999999:::::::::::::::::::::::::::999999888888888888999999:::999999999999999:::;;;:::::::::;;;;;;;;;;;;;;;777888999:::;;;:::999999;;;:::::::::;;;;;;<<<===:::::::::;;;;;;;;;<<<<<<===>>>>>>===<<<===AAADDDHHHDDD@@@===<<<===>>>???>>>>>>>>>>>>???@@@AAAAAAAAA@@@@@@??????@@@@@@AAA>>>>>>>>>===<<<;;;;;;;;;======>>>>>>===<<<<<<;;;777888:::<<<===>>>>>>>>>>>>>>>=========<<<<<<<<<::::::::::::::::::;;;;;;::::::;;;;;;<<<<<<======999999::::::999999888777888888888777777777666666444444333333333333444444666777777777888888888888555666888999:::999999888::::::999888888888888999888888888888888888888888888888777777888888999:::888777666777888999999777666777888888888888777666999???CCCBBB===:::===@@@FFFFFFEEECCCAAA>>>;;;:::555555555555555555555555333333444444444444444555333444444444333222111000.........////////////000//////000000111111222222000000000000000000000000111000///...---......///.........//////000000000000000000000111111111111000222222222000///000222000111111222333333444444222222222222111111111111222222222333333444444444111111111111111222222222222222222111111111111000/////////.........------,,,------......//////000---------....../////////------...............---------..................+++************+++,,,,,,''')))++++++******,,,......,,,+++,,,...///---+++)))***+++,,,,,,+++***))))))***+++---------------***,,,......,,,***)))))))))))))))***++++++,,,,,,,,,...000000---,,,---///((())))))******))))))((())))))*********+++++++++++++++***))))))))))))***,,,------------------,,,)))******+++++++++++++++***+++,,,---............000111333555666777777777333444555777888:::;;;<<<===<<<:::888666555555666222222222333333333333444333333333444444444444555333333333333333333333333000111222333222111000///111111222333444444444333666777999::::::999777666666666666666555555555555555555555555555555555555555666666777777777666666777777777777777777777777666777777777777666555555111222333333222111111222000000111111222333333444444444444444555555555555777777777777777777777777666666555555555555666666555555444444555666666777555555555555555555666666333444555777777666666555666555555555666777888888888888999999999:::::::::555777888777555555888;;;FFFBBB>>><<<===>>><<<999888888888999:::;;;<<<=========<<<<<<<<<<<<======;;;;;;:::999999888777777999999999999888888777666222333555888999:::::::::777777777666666666555555111222444555777999:::;;;555666777888999999:::;;;999::::::::::::999888888555555444444333333333222333222222111111222222333000000000111111111222222222333555666777777666666333333222111111111111111555555555555555555555555444444444444444555666666444333222333555555555444222333444555555444333333555:::???===777222333777444555777888888777555333111111111111111111111111/////////000000111111222000000111111000///---,,,,,,,,,,,,---------......////////////....................................,,,+++***)))((()))******,,,,,,---...//////......------------.........//////000000///,,,++++++,,,---......///000000111111------------............///////////////000000000......//////000000111111............------------*********)))))))))((((((''''''((()))***++++++,,,((((((((())))))*********++++++++++++***)))(((((('''''''''&&&&&&&&&&&&&&&'''''''''''''''((())))))&&&(((***(((%%%###%%%'''+++)))'''(((***+++***'''''')))+++------+++)))'''"""###%%%&&&'''''''''&&&''')))++++++(((&&&$$$$$$&&&&&&'''((()))***++++++%%%'''***)))'''%%%&&&(((&&&&&&''''''''''''&&&&&&(((((((((((())))))))))))(((''''''&&&&&&&&&&&&&&&((())))))******))))))((()))(((''''''((((((************+++,,,,,,,,,++++++((()))+++---.../////////