*                           
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                                                                              ..,;codxkOOOO0OOOOOxxkkdxddkOOkddxolc::,...                                                                               
                           .                                           ..,cdk00OOkk0000kkkOOkxxOOkkkkxxxddkOOxxxxdoooxxdoooc;,.                                                           ,             
                                                                  .,cdkkO00000OkOO00K0kOOO0kxxkOOkOkkxkxddxOOOxxxxkooodkkdlododdl:,'.                                                                   
                                                             .;lxOOOO0000O000OOOOK0K0kOkO0Oxddx0kkkkkkkxxxxO00Oxkddkooooxkxdlddoodolllc;.                                                               
                                                         .;oO000OOO0000OO00KOOOOKKKKOOkO000kkkOKOOOOOkxxxxxO000xxdodkodloxkkdoodolddolccloc,..                                                          
                                                      ,lOKK0OOO00O0000O00KOOOOOKKKKOOOOOKOOkkO0KkOOOOkkxxxxk000Oxxdlxxol:cdkkxolddolddoc:clolc;'.                                                       
                    `                             .;d0KKK0000OOO0K0K0OKKK0O0O0KKKX0O0OO000OOOO00kkkxkkkxdddxk000kddooOdoo:oxOOkxodxoldddoc::lllc:;,.                                                    
      .                                        .;dKKKK0000O0OO0KX0XK0KKK0000OKXOK0kOOOOKOOO00000kxkxxkxxodkxx000OddooxOdoodlkxoc:;;:;;:cccccccoll:;;;'.                             '                   
                                             ,o0K00KKK0000KK00KXKNX0KKXK00K00X00XOkOOO0KkkOO00K0Oxkkxkkxooxkd0000dodooOxoxxc,'''''',',,;;;cccccooll:;;;,'.                                              
                                          .ckKKKKKXXK0KKKKK00XXXNXKKXKKKKK00XXOXK000OOK0OkO00OK0OkOkxkkxxldxxO000OxddkOOxc,'...'',,,,,;;,,;::cclooool;;:;''.                                            
,                                       'd00KKKXXNXKKKKKKKKKXXXNXKXXKXKKKKKKN0KX0OOOOOKOOk000OK0OkkxkkkkxodkxO0000kxxxOx,....',;,,,,,,;;;;::cc:clldxxdl:::;,,'.                                         
                                      ,d0KKKKXNNNX0KKKKXXK0XNXNNKKNKXXXKKKKXKOKKOO00OO00OO0KKKK0OkOOOOOO0xxkkxkO00kkOOO,...',,',;,,,,,:;,:cclllldooodkOOdc::,,,,.                                       
                              '     :kOKKKKKXNNNK0KKKKXXXKXNXXNXKXXKKKKXXKK0kkOOOOOOkOOOOO0KXX0OOkkkkkkk0xdkkdkkkkOkk0l...''''',,,,,;,:;,;:;clloodxxxolxOOxo:,,,,,.                                     
                                  ;O00KXK0KXNNNXKXXXXXNXKNNKKKKKKKKKKXKXXKKOOOOOOOOOOO00000KXX0OkxkOkkOk0xdkkxxkxxxkx0;.,.'''''''',,,;:;;;::clloodxkkOkooOKKkl;,',,'.                                   
                                ;O00KXKKKXXNNNK0KKKXKXXKXNXKXKXKXXXXXXKXXKKKXXKKXKK000KKKK0KXX0Okk0xddxkOOkkkkO0kxdddk,,,.'''''''',,,,,,,;:ccloddxxkOOOOOkk0KKx:,'',,'.                                 
                              .kK00KKKKXXXNNN00KKKXXXXXXNNNNNNNNNNNNNNXNXXKXXXXXXKXK0KXXKKOKXXOOOOOddoxkOOkkkkkOkxxddx:';....''''',,,,,,,;:cccodxxxkO0K0O0Oxx0K0l,,,,,,.  .                             
                             lKKKKX0O0KXXXNNXKXKKXKKXKXWNNNNNNNNXXNWWNXNXXXNXXXXXKKK0KNXKK0KXXOOOOOdddxkO0Okkxkkxkkxkdo.;.....''''',''..,,,;codddxkO0KK0O000OxOKKx;;,'','.                              
                           'OKK0KX0O0KXKXNNXKXXXXXKXXXNWNNNNNNNNXNNNNXNXXNXNNXXNKKKKKXXXKK0XXXO000Oxxxx000kOkxkkxkkdxxk;,,''..''''''........,lxxxkOOOOOO00000OdOKXk;;,'''''.                            
                          lKKKKKKK0KKKKKXNNKKXXXXXXXXNWWNNNNNNNNNNNNNNNNNNXXNXNNXXXKKXXXXKKKK00XXK0kxkkOkkkkkk0KO00Okkxk';,''''''''.''......';oxkOOOOOOkO0OO00OxkXXk;;,''.''.                           
                        .kK0KKKK00KKK0KXNNXXNXXXXXNXXNWNNNNNNNNXNNNNXXWWWNNNNNNNXXXKKXXKKK0O000XXKOxkxOOkOkkkk0KO000xxldx,:'.''''''.,'.......,clO000O00O00K00KKKdkXXd;;,'''...                          
                       ,0K00KKK0000KKKXNNNXXXXXXNWXNNNNNNXNNNNNXNNNNNNWWWNNNNXNXKKKK0KKXK0O00O0XXKOxkdxOxkkkkkkK0O00kxookx;;,''''''..'.......',cdKKK0000K0O00000OoOXK:;,'''''''.             ,          
                      cKK00KKXKKKKKXXNNNNXXXXXKXWNXNNNNNNNNNNXXXNNXNNNWWWXNNXXNXKKKKKXXNXXK0000XXKOOxox0kOOkkkOK0OK0kkddOkkc,;''''''..........';l0KK0OKKK000000O0oxKKd,;,,'.''.'.                       
                     lKK00KKXKXKKKKXNNNNXKKKXXXNWNNNNXNNNXNNNXXNNNNNNNWWNNNXXXNXXKKKKXKKKXK0000XXKOOxxk0OOOkxxOK0OK0OOxoxkxxd:,,',,,'...........lk000O00O0OOOOO00olKXk',,,''.'.''.                      
                    oKXKKKKK0KKKKKXNNNNXXXXXXXXWWNNNNXNNNNXNNXNNNNNNNNWWNNNNXXNXXKKXKKKXKXXKK00XXK0OkkO0kkkOkkkKKO00Okdoxxxdddo:,'''','''......'lxxkkOO0kOOkOOOOOcoKKk';,;,'''..''.                     
                   oKXK0000000KKKXXNNNNXNNNXXXNWWNXNXNNNNNNNNNNNNNNNNWWWNXXXKXXXXKXKKXXKKXXK000XXKOOOO0OkOkOOOOKKO000xdxxkxxdoodo:,'''','','...,:oodxxxkkOOkkkOOd;oKKo';,,,,'.'.....                    
                  o0KK000K00KKXXNNNNNNNXXXXXXNWWNNXXXNNWNXXNNXXNNWNXNWWWNXXK0KKXXKKKKKKKKXXK0OOXXKOOkOOOkOkkOkOKKO000xxxxxdxdoododdl;'',,',;;,',:ccloooodxkkxxxo:ck0x,;;;,,,''''...'.                   
                 c0KXK000KKKKKNNNNNNNWXXKKXXNNWWNNXXXNNNXKXNNXNXNNXXNWWWXKXK0XXKKKKKXXKKKXXK0O0XXKOOOOOkOOkxkkOKKO000kxkxkdkddoxxddoddc;''',,;;,',::clooooxxxoc:lkOd;::;;,,,,'.''...'.                  
                :00XXK00KKKKKXNKKXNNNNKKKKXXXNWWNNNNNNNNXXNNNXNNXNNNNWWWXXXKKXXXKKXXXXXXKXXK0O0XXK00OOOkkkkkxxO0KO000kxxkxxkxdddddoolodxdl;'''',;'';:cccccll::clxo:;:::;;;,;,'....'..'.                 
               '0OKXKK0000K0KNX0KNNXNXKKKKKXXNWNNNNNNNNNXXNNNXNNNNNNNWWNXXXKKXXXXXKKKXXKKKKX0O0XXKOOOOOOkkkkxkk0KO000xdxxxxxddxddooododooxxdol:;,'.'',,,,;::cllc:::;,:::;;,,;,'.'.''..'.                
               kOKXKK00KKK00KX0OKNNXWXKKKKKXNWWWNNNNNNNNXXNNNNNNNNXXNWWNXXNXKXXXKKKKKKXKKXXX0OOXXKOO0kOkkkkxxkk0KO000xdxdkxxdddoooloolooodddddoodoclcccc:ccccllc:::;,;::;;;,;,''.'''..''                
              l0OXXK000K000O00OOXNNNNNNNKXXNNWWWNNNNNNNNXNNNXNNNNNXXNWWNXXXKKXKXKXKKXKXKKKKKOk0XXKOOOOOkkkkkxkk0KO000kxddxxddoloooodddooldddddcclc:ll:lccll:cccc:::;;;::;;;,,,,'..'.'..'.               
             .0O0XK0OO0000O0000ONNXNNWWNKKXNNWWNNNNNNNNNXNNNXXNNXXXXWWWNXXXKXXXXXXKKXXXXXXXX00KXXKOOOOOOOOOOkOO0KO000kkxdxxxxxoooodoooolodxdddoldo:ll:cc;cc;ccc:;;;,;;:::;;,,,,'''..'..''.              
             dOOKXK0000O0OO000K0NNXNWWWXKXXNNWWNNNXNNNNNXNNNNNWNWNWWWWWWWWWWWWWWWNNNNNNNNNNNXXXXXXXXXXXXKKKKKKKKK0000000OOOOOkkkkxxxxdddddxxddddddooololcllcclc:,,;;:;;::;;,,,,..'..'...''              
            '0OOXK00K00O00000KKKNNXNWWWXKXNWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWNWNNNNNNNNNNNXXXXXXXXXXXXXKKKKKKKKK000000OOOOOOOkkkkkkkxxxxxxdddddddoooooollllllc:;::,;;::;;;,,,'...'.'''''.             
            xO0KKKO00000000000KXNNNNNWWWWWWWWWWWWWWWWWWWWNXKK0OOkkxddooolllllcclccc::ccc:;::;,;;;,;;,,,,,,,,,,,,,'''',,,,,,;;;::::::ccccllllooodddddooooolllllllcccc:::::;;;,,,'..'''''.''.             
       *   'OkOKK0000K0KKXXXNNNNNNNNNWWWWNX0Okxdolllccc:::cloddxxkkOOO00KKKKXXXXXXXXXXXXXXXKKKKKKKKKKKKKKKK00000OOOOkkkxxdddooolccc::;;,'''........'',,,;;:::cccccccc:::::;;;,,,'..'.''.'''.            
 *      +  cOk0XKKKKXXXXNNNNNNNKOkxoccccccloxkO0KXXNNNNNNNWNWWWWNWWWNNNNNNNNNNNNNNXXXXXXXXXXXXXKKKKKKKKKKKKKK0000000OOOOOOOkkkkkkkxxxxxxxddddddoolcc::;;,,'''....''',;,;;;;;;,,,'''''''..''.            
           kOO0XXXXXXXXKOdlc:;;;coxk0KXNNNNNNNNNNNNWNWWWWNWWWWWWWNWWNNNNNNNXXXXXXXXKKXXXXKKKK00000KK0KK00K0000O00OOOOOOOOkxxxxdxxxxdddddddddddddoooooooolllllcc::;;,'''.......''''',,''''''.  ,         
          .00KXXXKkdc;,;coxO0KXNNNNNNNNNNNNNNNNNNNNNNNNNNXXXXXXXNNNNNXXKKKXKKKXKXK000XXXKKKK0000OOKK0KK0000O0OOOOOOkOkkOkkddooloolll:clllllllclclclllclllllllcccccc:::::;;,''........'''''''.           
          :KXKxl;,:ox0KXXXXXXXXXNNNNNXXXXXXXNNNNXXKXXKXXXKXXKXXXNNNNNXKKKKXKKKXKKKKKKXXXKKKK0O000O0KO0K0O00OOOOOOOOkkkkkkkdddolooooocclcloollclcccclc;cc::;:c:;;;:::::::;;;,,,,,,'''.....'''.           
          dk:':oOKKKXXXXXXXXXXKKXNNXKKKKKKXXXXKXXKKXXKXXKKXKXXKXNNNNXKKKKKKKKKK00K000XXXXKKK0OOOkk0KO0K0OOOOOOOkkOkkxxxkkxdoddlllool:cllooococlcccccc:cc::;:c:,,,;:c;,,;''',,,,,,,,,,,''....'           
          ';xKKKKKKKKXXXXXKXXKKKKXNXKKKKKKKKXKKXXKKKXKKKKKKKKKKKXNNNXKKKKKKKK0000K000XXXK0KKOkkkxk0000KOkOkkxxkkxxxddddkkxoddolllllc:ccccllllcccccccc;::::;:c;,,,;:c:;,;'''''',,'''',,,,,,'..           
          d0KKKK000O0O0KKK0KKKKKKXXXK0KK00KKK0KXXKKKK0KKK0KKKKKKXNNNXKK00KK000KK0000OXXXK000OkkkxxO0O00Okxdxdxxxooodoooxkxdxollllooc:ccclllclccllc:c:;:c:;::c;;,,;::;,,,'''''.,,;''''',,',,,'           
          OOOx00xx000O0K000KKKKKKXXX000K00KKXKKKXKKKK0KKK0KKKK0KXXXXXKKK000O0000000OOKKKKOOKOkOOkkkOk00kxxxddddddddoodoxkxodollllll::lccc:::cccc:;::;;cc;;;:c;,,,::;,,;,'''''.,''''''''''''''           
          xxxx00xx000OK0KK0KKKK0KXXX000K00KKK00KX00KK00000KKK000KXXXXK00K00O0O00O00OOKKKKOOOkkkOOkO0k00kdkxxddxxddxdoddxkdollccclll:clcllc:cc::c::c,;;::;;;:c,'',;;;;,,''''..',','''''''''.''           
          dxxx0Kkk0000K0KK00KKKKKXXX0KO0000KK000X000K00KK0K0K0000XXXX000000OOO00O00kkKKK0kkkkOkkOkOOkO0Oxkddoooolddooooxxdoolccccclccl:llccc:c:c::;.',;;;,,::,'',,,,'',''..''',,'''''''''''''           
          lxxxkKOOO000000K00KKKK0KXX0OOO0O00K0O0X0O000OKK0KK00000XXXXK0O0OO0OOO00OOkkKKK0xxxkkkxkkOOxO0kdxddooddlooooooxxdllccclcl:;:c:c::::::;:;;,',,::;;;::;,,;,,,'','...'',,,''','','''...           
          :dxxxKOkO00OO00K00KKKK0KKK0OOO0O0K0K00KK000OkOkx0000O00XXXX00OkOOOOkOOkkkkx0KK0kdxxxxxkxkOxOOkxxdxdxxdodoodooxxollcccllc:;cc:cclc:::::;:,,,;;;;,;c;,,,,',,,,,'..''';,'''''''''''''.           
          ,oxxx00kO0OOk0OO000OO000KK0kOkOOOO00O00KOOO0x0OxOOOOOOOKKKK0OOkOkOOOkkkxkkx000OddddxxxdxkkxkOxddodoodolloolooxxl;ccccl:c::l::c:c:::::c:;,,,;;;;:;:,,',;,,'','...''',;,',''''',''''.           
          .odxxO0xxOOOkkOO0O00O000KKKkOOOkOOO0k00KOOOkdkOxxOOkkO0KKKK0kkkO0kkkkOxxOxxO000xxxxxxxxxkOxkOdodooloodlodocloxdl;::clo:c::c:cc:c::::::;;'',::;,;::',',,,''',..'.''',,','''''''''''.           
           oxxdk0kxkkkkkOkOOOOkO0O0KKOkOOOkOk0OOOKOkkkxxOxdkkkkOkOKKKKkkkkkkkxkkxxkxxO00Oxdxkxxdxxkkdkkdoollldxdcoolclodd:,c:ccc,:,:c:cccc:;;c:;;,'',;;,,,:;''',''''''..'''.,,'.'''''',,''''            
           :ddodOOxkOkkdkkkkkOOO0Ok0KOxkkOxkxkOxxO0kkkxdkxdkkOOkkkKKKKkkkOkkkxkkxxkxxO00Odxkxxxdxxxkdkkdooooooooloolllodo;,::c:;';,;;;::lc::::;;;'',;;;,,;:;'',,'',','....'',,,.''',,''''''.            
           .oddlxOxdkkkxdkkkkkOkkkkOK0kxxkkxkk0kOO0OOOOkOOkOOOOO00OOOOkO0kxxxxxxxxxxxdxxkOkxxdooloxxlooddccdxooxdllllcccoddolcc:::,;::::c::::c::;;,;;;;,;;:,'',,','''......,,'.'..'''''''''.            
            cooookkoxxxxoxxxkxkkOOkO000OOkOOkOOO0K0kxkxxxkkxxkxkk0kxxxxk0xoodooddooododddkxddoodllxdlooll::dxooxoclclcc:odddlc:c:,'',;;::::;cll;;;;;;;;;;;;,,;;,,,'''.'...',,'.''.''.',''''             
            'loolxOdoxkkxxkxOxkkxOOOO00OxxxkxxkkO00OxxkkxxxxxkxdxOOxxxxxOxlloooooooooollokxddoodllddclllc::dxlodlcl:::::oooocc;;:;,,,,:c:;;;clc;;;;;;;;;,,,',:;;;,','''''',,'''''''''','''.             
             clllokkxOOOdkkdkkdkkkO00000xxdxxxxkkO0OxxkdxxxxxxddxOOxddddOkllloodxoooollllxxoooooolddclllcc:ddcodllcccc:coooocc;::c:,,;cc::::lc:;,;,;;;,;,,,,;;;,'','''''',,'''''''''''''''              
             .lodoxkdkkxdoxkkOddxxkO0OO0kxxxxxxxkO00xddodxxxdxdodxOxooodkklcllollolollolldxoolololodclllcc:dd:odccccc::coool::;::c:,;:cl:;;;;:;;;,,,;,,,,,,;;;,,',,'''''','..''..'''..'''.          `   
              loollxxoxooldxdxxlddxkOOOOOddodddkxxOOkdddddxdddxoddOxoooodklccccccoccccllldxllllllcooclllc::do:oocll::::coooc:::::c;',;::;;;,;:;;,,,,,,,,'',;;;'''''''''',''.'''..'''.'''.               
              .ollllkddxdoodddkooddxOkkkOkddodooddxOOddddodxddxoooxkollloko:cc:cclc:cclccoxollllccldlccc:;cdo:olcccc::;clllcc;c:::;,;:::;;,;:;,,,,,,,,,,',,;;,'','''''',,'''''..'''..'''                
               'ollcoxoddoldddxkllodxdxkkOdolooloddkkxooddddodlooddkoododxdcccllcllccllclodoooddooooloollclolcol:lllllcllll:;;:;;:,,;;;;;,,,:,,,',,,,,,',,,,,','''''''','.''''.''''.'''.                
                ;lllcdxlxdoooddddlodxxdkkxkoolooodxxkkxxxxxxxxxxxkkkxxxxxddooooodddolldooodddlcllll::::ccccoolllc::cc;;,;::llccccc:::::::;;;:;;;;;,,,,,,,,,,'','','''',,,,,'..',,,.'''.                 
                 :lolcddldxdooddxdodxxxxxxdddoxdddddxxdddxxxxxddxxxxxxdddcccclcccllcccddoooddc:c::::,,;:::cll:cl;;,,,',.,;:cccc:::;;:::;;;,;::;;;;;,,,,'',,''''''',''',,,,,'.',',.'''.                  
                  clolldddddddddldxkkxdxdxlcclodollllodoxdxdddddddodxxddol::ccccccccccoolloooc;c;;;;,',;;:cll:cc;:,;,,;';,:ccc::::;;:;:;:;,;;;;;;,,',,;',''...''',,'''','',',,',''''.                   
                   cllllldollooolllddddodddlcccooolllldlodddooddddolddddlo::cc::c::ccclolcoooc;:::c,'';;;;:lc;c:;;;;;,,,;,:cc:::;,;:;:;,;,;;;;;;,,'',;,,,''''.'.',,,''.'''',,'''''''         .          
                    ;:cccldlllooolooolccododlclldolcolldloooollololloddoolc:cl::::;:::clc:lllc;:;;c,'',:;;:cc;c:;,;,',,;,;:::::;;:;;;:,,,;;;;;,,,'',,'','......',''',''''',,''''.''.                    
                     ,:::cldlcloollllloccooooccccollcoclooololcloolccoolocl;::;;:::::;:llccllc,;;;;''',:;;:c:;c;:;;'.,,,,;:::;;;;,;;:;,,,,;,,,,''',,'',,'''...','..'''.'.',''...''                      
                      '::::colccllllcllcccoooo::cllc:cc:ollcllccccc:clolcll;:::;;;;;::;llc:llc,;;;;,'.,;,';c;;:;;','',,',::::;:,,,;,,'',',,,,,''..''.''.......'''.','','''''...''                       
                       .;::::ol::lcc::cc:::oool:ccllcccccocccclc::::c:llclc:,,;;,,;;;;;cc::ccc,,,;;''.;,,,::;;:,,','','',;;;;,,',;,,'''',,,,'''.'''.'........'''....'''''''..''.                        
                        .,;;::lcccccclccc::cllll:::cl::::cl:c::c:c:c::cllccc,,,,,;;,,;,::;;:c:,,;,;''',,,;::,;;'',,.'''',;;;,,,',,''.''','''''.....'........'''.'''.'''''....'.                         
                          ';;;;:lcccccccc::::cclc:::cc::::cc;:;::::::::cl:cc:;;;;;;;;;;;:;;:::;,,,,,,,,,,,;;,;;,,,'',,,,;;;,'''',''''''''''''.'...'........'..'''.''.''....'.                           
                           .,;;,;ccc:ccc::c:::c:c:::cc:;;;:::;;;;:;,;;;;;:;;:;;,,'';;,,,,,;:::;'.'''',''''';'''''''''''.',''....''.''''....'......'.......''..''....''......           *                
                             ';;;;:c:;;;;;;:c:;;,;,,;c:,,,,;,,,,;;;,',;,,,,,,;,,,'.,:,,',,,:::;...'.''',''','''''''''''''..'.'..''.'.............''....'......''..........                              
     .  .                     .,,,,,:;;;,;;;;:;',,',,;:;,'',,,,,',,;',,,,,,,,,;,,,'';,'''',;;;;...''''.'.'.,''..','.........'...................'.''.....................                               
                                .'',,,;;;;,,,,;:,''',;;:;'',,';,,,,,,',,',,',',,'''',,'''',,;;;.'.'....................'...............................................                                 
                                  .''',,;,,,;,,,;,''',,,:;,'''',,'',,,.','',,',,','..,''.''',,,........'...'....'.'..................................................                                   
                                    .'.'',,'',,,',,'''',,,;,'''''''''',.',''...'''''.''.'.'',,,..'.................................................................                                     
                                      ..''',,','''',,''''',,'...'''..'''.''..'''''....,'..''''''.................................................................                                       
                                        ...'','''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''......................................................                                         
                 +                        ..''''',,,,,,,,,,,,,,''''''''''''''''''''''''''''''................................................................                                           
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