..  . . .   .   ..   .   .....                .     .......   ........                         ...........                 .................            ......  ...................   .. ...................................................  ....................................  ..............................................  ...      .......................................................................  .............................................................................................',,,'''.....''''....................................................................................... ............     ......       .......                                          ..                                                                                                       
.........................         ................   .........        .......                           .........              ......     ......  .             .....  ............................................................................. ..........................................................................................................................................................................................................'...............................................'''......',;,,'.........''''..........'................................................................................  ....................     ........              ....       . ...           ....  ..... ..                               ..                                                          
........          .....   .... ....... ......  ...............                                ...........    ...    .....................       ......  .................... .........................................    .............  ........................................................................................................................................    .....................................................................................''...........................'''',,,,;;;;;;,''''''''''''......................................................................................................................   .....                 .....         ...... .......     ....                                    .                                                          
...  .....    .   ............... .......................                              ........           ...',,,,,'... ..........               ...................   .....     ................................................. .........................  ...............  .................................................   ...................................................................................................'.............................''........''..............',,,,',,;::::;,,;;;,,,;;;;,'...'''...'''''''.''''.''',,''.................''''.................................................  ...................   ........   ...       ........       .....  ......     ....           .......        ...       .....                                                       
   ...      ....   .........................        ...   ...       ..  .... .    ..                    .......             ..;:ccll:,....                        ............................        ............................................... .......................................... ..........   .....................................  ................................... ....................................................................................................''''.............',,,,,,;;;;;,,,,,,,,,,;;;,,'........''''...'''''''''',,,'''''',''...''''''','''..'............''.....................................................................................      ......     ...  .......     .          .                                                                               
...                ........................       ....       ....                                                          ....',;c:,.........                 ..........................................................................................  .........................................................................................................................................................................................................'.............''''...''''''............'',,,,;;::::;;;;;;;;,,;;;;;,''''''''',;,,'''',;,,''',,;;,,''''''',,,''''',,,,,,,,,,'''''''''''...'''..............'''.................................      ....  ... .... ........   ............................  .... ........                                                                                    
..........     ..........................................................                                              ....   ............                         ........................................................................................................  ............  ... .........................................  ..................................................................................................'.................''....''........','''''....'''''.........'',;;;;;::::::;;;:;;;;;;;;;;;,'''''''''',,;,'..'''''''',,;,,,,,,,',,,,,,,,,,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,''''''''............................................  ....  ........ ..........  ........   ...        ...                                       ..                                                       ..   
.            ....    .............................................                             .......                 ...      .........               ...        ............  .................... ...........................................''';:;;;'.............    ............................  ......................   ..       .......................................................         ..    ...........................................................''''....''''''''''''......',,;;;:::::;;;;,,,,;;;;;;;;,,,,,,,,''''''',,;,,,,,,',,;;::;;;;;;;,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,''''',,,,,,''''................................................  ..   .........  .......... ........  .... .................   ..                                                                                         
           .......  ................................................                           ......              ..      ...   .......        .     .....   .........................................................  ....  ..................';cdOOxdlc,............. ...................................... ...................      .......................................................    ........... .........................................................'''..............''''..'''',,,,;:cccc:::::;;,,,;;::;,,''''''''',,''''',,''''',,,,;;;,,,,,,;;;;;;,,,,,,'''',,,,;;,,,,,,,,,,,,,,',,,,,,'''''..................................  .................   .................  ......  ....   ...  ..... ..                                         ..    ....           ...  ..     .         ..               
........  ............................................................. ..               ..........               ....     ........................................................................................ .              ..  ...........,:ldxdoc;'....... .............................. ........... .................      ...................        ...............................   ......................................''...............''............''''.....'''......'''.....''',,,;;:c:::::;;;,;;;:::::;;,,,,,,,;;;,,,,,,,,,,',,,;:cc:;;,,;;;;;;;:::::;;;;,,,,;;;;;;;;;;;;;;,,,,,;;;;;;;,,,'.................   ......   ..    ..............................  ... .................. ....                                      ...            ..                        ...                              
..   ... ..................................................   .         ...              ........            ......  .      ........ ......... .......  ............    ........... ...............................   ......      ....................','............................   ..........      .......................................................................................        ................................''''.......'''.'',,,''.....''''','''.....'''''....'''...'',,,,,;;:::::::::;;;;::::::;;;;,,;;;,,,,''''',,,,,,,;:::ccc::;;;;;;;;;;:;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;;;,,,;;;,,,'....................  ....   .     ...  .................   .....     ..  .  ...  ......         ..........                         ....                      ....                    ....        ...         
.    ... ....  ............... ......................  ...                                . .......     ............    ...........   ...............  ...........  ..  ...    ..     .....................                          ................................................   .............................   ..   ....................................................... .......             ......  ............'...''''..............'''',,,''''''''''''''''..''''''''''''''''',,;;,,,;;,;;:::::;;;;;::c:;;:;;,,,,,,,,,,''',,,,,;,;;;::c:;;;;;:;;,,,,,,;;;,,;;;;;;;;;::;;;;;,,,;;;,,;;;;;;;;;;;;;,,'....................      ..... .................. ....................      ..    .....      ...        .                           .                        ....                .      ..        .   ...   .
..........................................................................................    .........       ...................    ..  ................................     .................................   ......        .....................................................................................................................................      ........    ....... .............................'''''',,,'''''''.....''','''''..'''''''''.''''''''''''.''''''',,;;;;;;;;:::ccllcc:::ccccccccc:;;;;;:;;;,,,,,,;;;:;;:ccccccclc;:ldo:;;;;;;;;;;;;;::::::cccccllccccccc:;;;;;;:ccc:ccc:;'.......................    .   .......................................      ..    .....       ..... .....         ....           .....                            ..                              .     ...   
..............................................................................................                      ..........     ...     ................................   ................................    ...........   ................................................................................    ..................................................   ................       ...........  ................''''''''''..........'''..'''..''','''''''',,,'''''.......'',,;;;;;;;;;:clllllccc::::::::;;;,,'',,;;,,''''',,;;;;;::::::;;cdl:lkkl;,,;;;,,;;;:::::::::::clooollcccc:::;;;;:cccc::cc:;,,,'.......................................       .      ....             ..           ..       ...          ..       .              ..         ...  ...                                        ...            
 ....   .....................................................   ..............................    .  ...      .........................      ...........................................  .................... ..............   ................................................................................     ..............................   .........................   ......           ........  ...............''''...''''..........''.......''''''.......''''.......'',,,;;;;,;;:::cccllolc::::cc:::::;;,,,,,,,,,,,,,,,,,;:ccclloollcc;:lkkkKKxc:cc::;;;::cc::::::::cclloooolcc:::::::::::cc::;;;;;;;;;,'''............................................       ...    ...        .....     ...   .......   ..  .         ...                     .............. ...                           ........             
...  ......................................................................... .     .....................     ........    .........  .......................   ....          ...     .... ...........    .......      ...    ..   ... ................................................................... ... ..           ................................................        .....    ..............................'''''''','''..'''','''''''''.'',,''''''''''....''.....'',;;:::;;;::clloooooollllccccc:;;;,,,,,,'',,,,'''',,;;:::ldxxxxkOkkkKNWWNOddddlcccccclllccc:cccloooooooooolooolloolllccccc:;;;::::;;;;;,'''................     ...........                      ..           ...           ...                  .                    ... .....                                            .                  
............................................  .................................................................   ...   ............  ........................  ......   ...  ...... ...  .............  .....        ...... .     ........................................................................     .     .....   .....................................................    .................................''''.''.''''''''''',,,''...''''''''.....'''''''''..''''',,;;:::::::clloooooooolllllllcc:;,,;,,,,,,,,,,,,,,,;;;::::cloxxkk0XXNNWMMMW0kkkdoooooollcccccccloddddooooooooooooooooollcccc:::::cc:::ccc::;;;,'........................................           ......  ...............    ...                                      .......   ....                    .                      .            ...
..................................       .....................................................................         .                    ......................   .         .....  .    ....... ....               .........................................................       ......................   ..................................................................  ..        .................''''.''''''''''''''''''''',,;,,,''''''',,,''....'''''''''''''''.',,;;;;;;:cccloooooooooolllooolc:;;;;;;;;;;;;;;;,,,;::::::cllodxkkOKXXKXNWMMWNXKK0kdoooollllllllooddddooooooooooooooddooollccccc:ccc::cccc:::::cc:;'''....................................      ....    ..    .............   .....                              .....    ......  .....                      .... .....          ..            ...
............................................... ..................................................................                ................   ....      ......  ..   ...................    .....             ...   .   ............................................................... ....................   ................  ..........................................            ... ...........'''.''''''''''''','''.''',,'''''''''''''''''''.''''''''''''''',,'';:::::cclloooddddoooooolllllc::;;;,,,,;;;;;:;;:;;:ccc:cclllc::clodkOkxkO0KNWNKOkxdollllllllooddddddddddddoooooooooooooollllcccccllcccccc:::::c::c::;;,''.........................................................  .....                   .....               ........................                                                          
........................................... ........................................................................    ........................               ......      .............    ..           ..     ........   ....................... ...................................................... ................    .....................    .........  ..................         .............'''''''',,'''''''',,,,,,,,,,,,''''''''',,''.''...........'''''''',;;;;;:;;:ccllooodxxdooooooollc::;;;;;,,,;;::;;:::ccllllccllolccccccccccclxkxx0K0Odoloooooloooooddddddddxxxddooodoooooooooollllllllclllcccllcccccc::::::::;;,''.....................................................  ......... .                                  ..............   ...........          .       ..            .                     
................................   ............................................................................................................             . ........  ..................               ....   ............................................................................................................................................................    ....  ..   ..................''''''''....'''..''',,,'''''''''',,,,,,'''''..''...''''''''',;;;;;;:::clodddxxddddoooooooll::;;;;;;;;;::::;;::ccloolloollllllccllllclccoO0xoxkkddoooooolooodxxddddddddxxxxdddddddddooolllllooolllcccclcllllllllcc::::cllcc:;'''''................................................................                 ..   .....   ............................                 ..                                    .
...........................................    ..................................................  ....  ..................................   ....     ...       .   .... ................       .. ............       ...................................      .......... .................................        ..........   .     .......................................... .......................'...'''',,''.....'''''',,,'..''.''',,,,'..'''.''.'''''''''''',,,;,,;;:cllodddxxxxxddoooooooolc:;;;;,,;;;::;;;;;;:ccllllooolcclllllllllllllldOOxlloolllooollllodxxxddxxxdddxxxxxxxxxddxdolllccclllllllcccclccclllccccccccclodol::,'',,'............................................................                               ..............................                                   ..                   
..............................................  .................................................       ............................................ .....   .                ........           .  .....          ...................................................................................................................................................  .................................'''....'''....''',,,,,,'''''',,,,,,,''''''''..''..'''''..',,;;;,,;;;:coodddxxdddddxxxxxddoolc:::::::::c::;;;::cclllllloooolllclllllllcccllldkkollllllooooooooddxxddddxxddddddddddddddoolcccccccccccccccccccccccccccccccclloolccc:;,,,,,'..............................................................       .....            .........................   ......    ....      ...               ......                 
...........  ......................................................................................................................................... ..  ....  ...     ..............   .. ... .........         ............   ............... ....................................................... .......................  ........ ............... .........   ......................'''.....'''''''..........''',,,,''..'''',,,,,'''..'''....''...''''',;;:;;;;;;;:clooddddddddxxxxxxxdllcc::::;:::::::;:ccccloollloooollllllllllllllllllodxdollllllllooodddddddxddddddddddddddxxddoolllllllccccllcccccccccccccllllccloodolccllc::;,,'''....'..............''..''''''.............................................  .................................... ..............                                           ....
.......... ..................   ..................................................................................................................................... .....................  .............             .......     ...  ......................................................       .     .........    .     ...   ......  .............   ..............................'',,''''''.',,,''''........''',,,,,''..''''''''''.''''''......'..''',,,;:::;,,,,;:lodddooooddxxxxddddoccc::;;,;;;;;:;;;::cccloolodddooooolooooodooooooollloollllllllloodddddddxxxxxdddddddddddddddoollllllloooollllllllccccccclllllllodddollllc:::;;,,,'''....''''',,,,;;::;;;;;;;;:;,,,;;,,;;;,,,''''''''''.........................................................    .   ...         ..             ......                   ...  
.....................................................................................................................................................................   ........                       ..       ...........         ......................................................       ...........................................................................................'',''',,',,'''''...'''''',,;;;;;,'''',,;;,'...''''''''''''''''''',;;;;:::;;;:clooodoooodddddddddollc::::;;;;:cccc:::::cclllllllollcclllllllllllllllllllllllllllllooodddxxxxxxxxxxddddddddddddooolllllllllllllllllllllcccclllllllloddddolllcc::::::::::;,'''''',,,;;::ccc::::::cccllc::::::::ccllc:;;;,,'''......................................................   ...........      ............................    ....            
................................................    ...  ...........    ......  ........................................................................   ....   .......   ...  .                              .....            .......................................................................................................................................................''''''',',,,''''...''''''',,;,,,,,,,'''',,,,,'...'''..''''......''',;;;;::::::cloooddddooooooooddoollccc::::::ccccllccccclooollllllllccccccllllllllllllllllllllloooddxxxxxxxxxxxxxxxxddxxxxxxxdollllllllllcccccllllllllllcllllllcllodddddoolccc:::::cccccccc:;;;;;:::::cccccccccccllllccc:::::cllooolcc:::;;,'.................................................         ..........    ..      .       .....       .       .             
........ ......................................... ...........   ..............................................................................................................................   ........................     ................................................................................. ............. .........................        ........................''''....'''.'''..''''''''',,;,'''''''',,,''''''''''''''''..''''',,,;;;;;::clllooddddxxdoooollloolc::ccc:::::ccccc:ccc:::clooooodoolllccccclooooooooooolloolllloooddxxkkxxxddxxxxdddddddxxxxxdoolllllllllllooooooooooooollllllollloddxddooolllccccccclccccccccccccccccccllllccclloodoolccccccloddoollcccccc:;,'''..................................................      ....        ....             ........                       ....
...............................................       ....  ... ... .................  ..   ................................................ ..............      ......         ...      .....  .  ...    .....  ..           ......................................................    .    ..................  ....................................................................''''''''''''''''''.'''''''',,,,,''''''',,,,'...''''''''''''''''',;;;;;;;;:::clooloodddxxxxxdddddoollcc:cc::::::::::::::ccclooooooooollllllllodddooooolllllllllllllodxxxxxxxddddddddddddddxxxxdooooooollllloooooooolllllllllllllllloodddddoooolllllccllllcccccccccccllcccccllllllllodddolllllllodddolllccccc::;,'...................................................        ....           .........     .........                      ....
..............................................................   ............      .........................................................   ...........       ..                             ...  ...    .        .    .........................................................       ...........................................................................................'''''''''''...''''''''''''',,,,''''',,,'''''''......'''''''',,;;::;,',;::::clodddxxxddxdddxxdooolcccllcccccc:c::::ccccclooddooooollllooooolooooooollllllllllloooodxxxxkkkkkxxxxxxdxxxxxxxxxxddooddoooooooolooooooooooooolllllllllododdddoolllllllcccclllcccccllccccccccccc::cccllooolllllllllloddolcccccc:;,,'.................................................... ......   ...      ......  ..                  .......                ...
    .     ............................ ...................................       ..........................................................................     ...   .                         ...  ....            ... ...       .  ...................................................................................  .......... .............................................''''''''''''.....'''''''''',,'''''',,,,;,,''................',;;;::;;,,,;;;:clooddxxddoooooooollcccclllcccccccc::::::ccllodddoooollllllllllllllllllllllooooollooooddxxxxkkkxxkkkkxxxxxkkkxxxxdooooooollllllllllloooooooooollloooodddxddddoolollllllllllccccclllllllcccc:::::cccllooollccclllloddddolcccllc:;,'''..................................................   ......                                     ....                         
....  ...................................................  .........   ................  .    ...................  ..............................................................  ........................        ......... ....................... ............................................ ..................    ............ .........................................''''''''''''''''''''''''',,,,,,''''''',,,,;;;,,,'..............''',,;;,,;;;:::clooddddxxxxddoooooooolllllccccccclcc::::::clllooodddooooooooolllllllllllllllllclllloooddxxxxdxxxxkkkkkkkkkkkkkkxxxdooollllllllllcclllllollllllllllllooddddddollcllllcccccllllcccccccccllcccccccccccloooollllllllloddxdoolccllllc:;,'''....'''....'''''..''''''''''..'''..............   ........      ..     .                        ...                  ....    
...  ......... ..........................................   .......    .....   ............   ...................................   .......   ..........  ............  ..........   .................   ...     .... ......................................................... .............     ..................................................   .  .....................'''''''''........'''..'',,,,''''''',,,,,,,,,''...............',,;;,,,,;;:cclodddddddddddddddddddolllllccccccclllc::cccloooooooooddddooooooooolllllllllllllllllllodxxxxxxxxxxxxxxxxxxxxkkkkkkxdddooooloolllooollloollllllllllllllloddxdddolllllllllccccclcccc:cccccccccccc::cccclllllllccclllooddxddollccccccc::;,''''''''''...''''......''',,''.........................   .... ..        ...        .                                   ...     
.....................................................                   .....  ....   ................................................................................ .. ..  ..            .   ...                            ............  ........................   ... ... ...............................................................  .............................'',,,,,,,''''''''''''',,;,,,,',,,,,,;;,''''......'..........'',;;;,,,;;:looddddddoodddddddddoooollllllllcccclccc::::ccloddddddoollloollllllooooooooooooooooooooddxxxkkxxxxkkkkxxkkxxxxxkkkkxxdooooolllllllllllllooolllllcllllllloddxxxxdollllllllllllllllllllllllllcccccccc:cclooolllcclllllooddxdolcccccccc:;,,''.............'''''...'''',,,'''..........................  ................                                                     
             .................... .......................                ......  ..  ......  ..................  ..........................................................          ......   .....             .......   ..      ...........................................................................................................           ...........'''''.....''',,,,,'''.......'''',,,,'''',',,,;;,,,,,'''''''''.....'''',,,,;;;;;;:clodxdddddooooooooddxdlllcclllccccccccc::::::ccloodddoolllllllolllooooooooodoooooooooooddxxxkxxxddddddxxxxxxxxxxxxxxdooolllllllllllllllllllllllllllllllllodxdddoollllllllllllllllllllcllllccllllllllccloodollllllllooddddddollccccccc:;,,,''..'''...''''''''''''',,,,,,,'''............................  .   ...........        .                                           
    .......  ........................................................   .......     ........................................................................................ ......   ..   ................................................................................................  ...................................................   .............'''''''''''''''',,,'''''......'',,'''''''''',;;;,,,'''..............''',,,,,,;;::::looddddxxxddodddddddddolcclcccc:::ccc:c::;::cclllloollllccccclllolllooooollooooooooddddxxkkkkxxxxxxxxdxxxxxddddxxxxddoooooooolooooooooooooooooooooooooooddxxxxxdollloooooooooooooooolllllllcccclllccllooddolllllllllooddoollccccccc:;;,'''..........''''.....'..'''''''..................  .....................',;;;;;,'...  .......           ......       ...           ..
     .........................................................   ......  ..  .   ......................................................................................................  ........ ....   ............................................................  ..........................................................................................'''''...''''''',,'''''.....',,,,,''''''''',,,,,''''''''..........''''''',,,,,;;:codddddddddddddddddddddollllccc:::::cc:::::::ccccllollclloooooooooooooooooooooooooooooddxkkkxkkxxxxxxxxxxxxxxxxxxxxddoooooooooooooodddddoooooodddddoooodxO00kkxxxdooooooooooooooooooooooolllllllccccllodddoollllllloodddddollccc::::;;,,''.....''....'''''.'''',,,,,,,,,''................ ......................';oxkxkxo;'............        .......                        
       ...............................................   .        ....       ..................     ............................................................. ....... ..........................................................   ...........................................................................  .... ....................................'''','''.'''''',,,,,'''''...'',;;;,'''''',,''',,''...........'''...''',,,,'',;;;;;;clooodddddddddoooddooollllllccccccccccc::::ccllllllooollooddddddoooooooollooooooooooodxxxxkkxxxxxxxxxxxxxxxxxkkxxxddddddoooooooooooddddooooddooodddoooodxkOOOkxdddddoooooddddoooooooollllllllloolllloooddolllllllloodxxxxdolccccc::;;;,,,,''',,'''',,,,'''''''',,,,,''''...............     .......................':oxxdl:,.......   ..      .........  .........              
      ................................................  ...............  .... ....................................................................................       ........................................................................................................................................................    .. ...................'''''''....''''''.''''......'''',,,'..'''',,,,'''''.................'',,'''',,;;;:cclodddooddddddddddooollccccc::::::::cc::::::cclooooooddoooooooodoooooooooooooooooooooddxxxxxxxxxxxdddxxxxxkkkkxxxxdddodddddddddoddooooooooooooooooooooooddxkkxxxdooooooooooddooooodddoollllllooooollloddddoolllllllooddoooolcccccc::;,,''...''''''',,,,,,''''''''''','''.........................................    ..',,,'.........        .........................            
           ................................... ............    .     ...  .......................................................................  ....................        ...................................................................................................................  ...        .....................    ...................''''''.'''',,,,'''''''''''''',,''....''''',,,''..........''''..'''',,,,,'',;;;;:cloddxxxxxxxdddddddddoollcc::::;;;;::;:::;:::::cloollllloooooooooooooodddddooooooolllooodxxxxxxxxxxdddddddxxxxxkkkxxxdddddddddddddddddoooooooooooooooooooddxxxxxdooollllllllloooolllloooooollloooolllooodddolloooooooddxxddolccccccc::;,,''....''...',,,''''''',,;,,,,,,,''......................................      ........      ....  .  ......'...................             
     ..    ................................. ............................................................................................................................       ...........................................................................................   ..................................................................................'''''''''''''''''',,,'',,,'..'''',,,,,''................''',,,,,,,,,,;::ccoooodddddooodddddoooollcccc::;;;;:::::;;;;::cccloolcccccllllloooooooooddoooooolooooooddxxxxkkkkxxkkxxxxxxxdddxxxxxxxdddddddddddddddddddoooooooooooodooooddxkkxxxdoooooooooollloooollllllloooooolllllloddddoollloooooodxxxxdoolllllcc::;;,''......''''''''',,,'',,;,,,,,,''..........................................................................'................                 
  ..............................................................    .   ..............   ... ..............................................................................................................................................................................    .. ..  ........... ...................................................'''''''...''',,,''..''...''',,,,''''...'',,''.'....................''',,,,,,,;:::clooooooooollcccloooolcccc::::;;;;;::::::;;;::::cclllllcccllllllllllloooooooooooooooddddddxxkkkkkkkkkkkkkkxxxxddddxxxddooodddddddooooddddoooooooloolllooooddxkkkkxxdoodooooodooooooooooooooollloooooooooodxkxdooooooooddxxxxxdoollllllc:;,,,'''.....'',,,'''',,,,,,,,,,,,''...............................    ........................................'...............   ......    .....  
  ............... .................................    .  ...     ................       ................................................................................. .............................................................................................     ............................... ................................................''',,,''''''''''',,,,,,,''''''',,,,''''''''...........''',,,',,,',,,;;:clooooooooooollllllllolllcc::;;;;;::::::::;;;;::::ccccccclllllloolllllooooooooddoooooooooddxxxkkkkkkkkkkxxxxxxxxxxxxxddoooddddddddoodddooooooooooooooooooodxxkkkkxxdoooooollllooollllllooooooollllooooolooddxddooooooooddxxxxdoollllolcc:;,,''.''....',;,,''''''',,,;;;;,,,''........................................................................................  .  .          ..     
  ............................................ ................  ......................................................................................  .........  ..     ............................. ................................................................  ................................   ...............   ................''..........'''''''....'''''''',,'''''...'',,''''''''''...........',,;;,,,,,,;;;:clllllloooolllloooooolllllllc::;;;:::::::::;;;;;::::clllcclllllllllllllooooolllooooooooooooodxxxxxxxxkkkkxxxxxxxxxxxkkxxddddddodddddoooddooooooloooooooooooodxxxxxxxdooooooooolllooooooooooooooooooooolllooodddoolllllllodxxxxdolllllcccc:;;,,,''''...'',,,''',''',;;;;;;;;,,,,'''.......................................... ..... ......    ....  .....'...............                       
  ........ ...........................................................................................................................................................       .....   ............. ............................... ...........................................................................................................''''''''''....'''...........'',,,''''.''''''..''....''...........''',,,,,,'',,:ccllloooolllllllllllloolcclllolcc:::::ccccccc:::::::ccclllllllllllllolllllllooooooooooooooooddxxxxxxxxxxxxxxxxxxkkxxxxxxxxddooddddddxxdddddddddddddodddooooooodxxxxkkkxdooooooooooooooooooooooooooooooooooooodddddoolllooodddxxxxdollllcc::::;;,,'',,''',,;,,'''','',,,,,,,;,,,''''''.......................................... ............  ..............................              ..       
              ...............................................    ..........................................................................  .... .   ................ ..........         ...............................................................................     .....................''''..''''',,'.......................................................'''''''.....'',''...'''''....''.....''',,,;,,'',,;;:lloolooolllllllllooollloooooollllcccccclllllccccccllooolllllllolllllooooollllolooolllllooooooddxxxxxxkxxxkkkkkkkkkkkkkxxxxdddddddddddxxxxxxxxxxxxxxxxxxxdddddddxkkkkkxxdddoooooooooooooooooooooooooollllllooddddoollllooooddddddooollllcc::;;;,,,,''''',,;:;,,,,,,,''',''',,,''....''.......................................................  ................................                      
 ...........  ...............................................................................................................................................  ..................  ..  ............................................................................... .......................'''........''''',;;;;;;;;,'............'..................''....'','...'',,,'''''..'''''.....................',,,,,,,,,,,;:clllllloolllllllloooolllllloooolc:cccllccccc::::::::ccloolllcccclloooollllllloooooollllloooooddxxxxxxxxxxxxxxxxxkkkkkxxxxxxxdddddodddddddddddddddddddddddddoolodxxkkkxxdooooooooooooooooolooooooooooooooddddodxxxxdoollooooodddddoolllllc::::::;;,;;;,,'',,;;,,,,,,,,,,,,,;,,,,,,'''''''......................................................................................                     .   
 ............  ..........................................................................................................................................  ... .........  .....            ........................................................................................'''..........'''.',,,,,''..'',;;,,;:;;:::cccccc:;,,'''''''''........''.......'''..''''''...',,,'.........................'''''''',,;:ccllllllcccccccclllllllcclllolcccccccloolllcccccc::clooollccllllccllooollllllloooooooooooodddxxxxkxxxxxxxxxxxxxxxxxxxxxkxxxddddddddddddddddddddddxxdddddddddddddxkkkkkxxddoooooooooooooooolooloooooooooooooddxxxxxddoooolooddxxxddooolllcc:;;;;;;;;;;,'''',,,''',''',,,,;;;;;,,'''''''......................................... .................  ...................................                  
    ........................   ..........................................................................................................................  .......................................................................................................................''...........'''''''''........''''''''',,;::cloddddolc:;;;,'''''''',,''..''''''',,'''...'''',,,'...................',,,''''.'',,;:cllllllooollllllllllllllllooooolc:::::clllllcccccccllccclllcccccccllcccllllllllloolloooooooooddxkkkxxxxxxxxxxxxxxxxxkkxxxxxxxddddddoooooooooooooodddddddddddddddddxxkkxxxddoooooooodddoodddooooooooodooooddoooddxxxdooooooooooddxxxxddoollc::;;,,''''',,''',,,,,,,,,''',;;;,,,,'''''..''''....................................................................................... .......                   
       ...................    .....................................................................................................'''...........................................................................................................................'''........................'''..'''''.......''''''''''''''',,;;:cloddxdocc::;;,''',;;,,'','''''''''''...'',;,,,,'..'''''............'''''''',,;;:clooooooloooooooooollllllcllooolcc::cclllllllcccccccclllc::cccccccclllclllllllllooooooooooooodddxxkxxxxxxxxxdxxxdxxxxxxxxxxdddoooooooodddddddddddddddddddddxddddxxxkkxxxxddoooodddoooodddooddoooooddddddoddddddxxxxxddooooooddxxxxxxddoolllc:;,,,,''',,''',,;;;,,,,;,,,',,,,,,''''''''...''........................................................... ....''..........................      ...              
...........................................................................................................................'',,''..''''........''..................................................................................................................'''........'''......'''''''''''''...'''...'''''...'''''''',,,;;:ccclodxxkkxdoc::cc:;;;;;,,,,,''.'''''',,,,,''................'',,,,,''',;;:ccccccllooolllllllooollllcccccllllcc:::ccccccccc::::::::clllllllllllccllllllllllllllllllllllllloddxxxxxxxxxxxxxxxxxxxxxxkkkxxxxdddddddooodddddxxxddddxxxddddddddddddxkkkkkxxxdddddxxxxddddxxxddddddddddddddddddddxxxxddddooooooddxxxxxxxxdollccc:;,,,,,,,'''',,,,,''',,,,,,,,,,,,,'''''''''''.......................................................  .............................    ....    .....     ...      
.................................................................................................................''''''''''''''......................'..................................................................................................................''............''',,'..'''''''................'',,''',,,,,;;;;;,;:cooooodxxxxxxxxdololc:,,,'',,;,,,,,,'''''''............'''''''',,;::ccclllllollccllllllloolc::ccllllccccccccccccc:::ccccccclloolllllooolllllllllllloolllllllllllloooddxxxxxxxddxxxxxxxxxxxxxxxxxxdddooodddooooooddddxxdddddddddddxxxddddxxkkkkxxdddddddddddddddddddddddddoooooddddddxxxxxdddooddddddxxxxxdddddolcccc::;,,,,;,,'',,,,,,,''''',,,;;;,,,'''',,''''..'.............................................................''''.....................   ...          .........      
..............................................................................................................''''....'''''.....'''''''...........'''''''................................................................................................'..............................''....''''....'..............',,,,,,,,,,,''',,,,;;;;:cloodooodxxxxxkkxdlc:;;::;,'''''''''''''''''''''',,,,,,,,,;;;cclloooooodoooloooooolllcccccclllcc:ccccccccccccccclclllloooolccccccccccccccccllllllccccccllllloooddddddxxdddddxdddddddddxxxxxxdddoooooooddooooooollllloddxxxdddxxxxxxxxkkkxxxxddddddddddooddddxxddddddooodddddddxxxxddoooodddddxxxxdddoooooolcc:::;;,;;,,,,,,;;;,,,;,'',;;,,,,,,,'''..''',''.....................................................   ..  .................................           ...  .....       
.........  .......................................................................................................................''''''''''......'''''''''..........................................................................................................................................................',;::;;;,,;;,''''',,;;::cclccccccccccloxkxxdolc:;,,'''',,''',,,,'''',,,;;,,'',;;;:::cclllolllllllllooooooolccclooollcccccccccccllc:::cccccllllllcc:::ccccccllccccccccccccccllccccllooddxxxxdxxxxxxxxxdddxxdddxxxxdddooooooooooddlc:;,,,'''..;codxxxxxxxxxkkkkxxxxxxxxxxxxxxxdddddxxxxxxxddddddddddddddddddooooooodddxdddddooollllllc::;;,,;;;,,,,,;;,,,;,,,,,;;;,,'',''....''''''........................ .................'''..................................................                ..         
 ......................................................................................................................................................'.........................................................................................................'.............................''''...............'',,,,,,,,,,,,,,,,,;:cccllccccccllollcccclodxxxddl:;,,,,,'''''''''''',,,,,,,,;;:::ccccloooolllllcclllllllcccc::cclllcc:::ccccc:ccc::::::::::clllc:::::::cccclllllclllcccccccccclllllloodddxxxxxxxxxxdddxxxxxxddxxxxxddoooodddddddoc;''.........',;ldxxxxxxxxkkkkxxxxxxxxxkkxxxddddddxxxxxxxxxxxxddddddxxdooooooooooddddddooooollllcccc:;;;,,,,,,,,,,,,,;::::;;;;;;,,,,,,,,'''''''..................................................................................... .....     ...                          
.....................................................................................................''.....................................................................................................................................................................................................'''.'',;,,,'''',,,'',,;;;:::ccclooolc:::cloolcc:ccoddddoc;,,,''',,''''''',;;;,,;;;:cllccccclllllllllllclllllllcc:::cllcccc:::::cccc:::::::::::::cclcc::::cccccccccccccccccccccccccclcclloodddddxxxxdddddddddxxxxdxxdddxxxddooooooddddoc,..'''......'',:ldddddxxxxxxxxxxxxxxxxxxxddodddooooooooddxxxdddddxxxxxxdoooooodddddxxxdoolllllc::::;;;;;;;,,;;:ccccc::cclllccccc::::;;;;;;;,''.....................''''''..................................................................                                 .
..................................................................................................'''..............................................''......''''...................................................................................... ........................''.......................'.'',;;;;;;::;,'''',,,,,,,,,;:::;;::;:clllc::ccloolc::coodddl:;,''''''''''',,,,,,,;:cclllc::cllllcccllccccccllllllc:::ccccc:;;:::ccc:::::::;;::;;;;;:ccc:::::cccccccccccc::cccccccccccccccclodxdddxxxdddddddddddxxxxxdddxxxddddoooooooodo:,...'''...','';coddddddxxxxxxxxxdddddddddddooooddooooollooddddxddodxxxdooollllooodxxxxdollllccc::;;;;;,,;;;;,;:looollllcccllcccccc:;;;;,,,,,,'......''''''',,'''''.'''........''.............................................................       .........           .....  
.............................................................. ....................................................................................''''''.........................'''.....''...'............................   .....................................'''......................'........'''',,;;;;:ccc::,,,,,;;;;;;;::;;;,;:;;,;::cccloddxkxollodxxxdol:,'.'''''',,,;;,,,,,;;cloolccclllcclllllccccccllllcc:::ccc:;;;;;::ccc:::::;;;;;;;;;;::cccc:cccllccccccc:::::ccccccclcccclllloodddddddddddddxxxdddxxxxxxdddxddoooooodddol:;'............';coxxxdddxxxxxxxxxxdddddddddddddoooddooooooooooddddddddddddoooddddxxdddddoollllllc:::;;;:c:;;;;;;:loooooollccccc:::::;;,,'',,,,'''''''''''''''''...................... ..........................................................       .... .......  .       .... 
.....................................................................................................................................................'''''''''''..................'''........................................   ........................'''',,'',,,',,,,'''............................',,;;:::::::::cc:;,,,;:cllooollloolc:::::clodddxkkkddxxxkOOkkxo:,'''',,,,,,',;;;;,,;::ccccllllcccclllcllllllllc:;:cllc:;;;;::::::::;;;;;;;;:::::cccccccc::ccccccc:::::::::cccccccccccclooddddxxxxxddddxxxxddddddddxxdddddoooooooddoc;.....''........':odddddddxxkkkkxxxddodddddooooooooooooooddddddddddddddxxxxxxxxxxxkkkkxxdooooooolcc:::::;;:::::::cloddooooooolllllcc:;;;,,,,,,,,'''''''............................................................................................      ........    .....    ...    
...............................................................................................................................................'''.......''',,'...............'''',,''.....'''..............................................''......''...'''''''''''......'.........................''',;;;;;;;;::;;;:cc:;,,;:cc:clloooodddolcccc::cldxkkkkxdoooxO0Oxoc,'',,;;;,,,,;;::::;;;:::clllcc:;;:::cclooooolllccccc:;,,,,;;;;;,,,,,;;;;;:::::ccccc::::c::::ccccccc:::::cccclccccccccloooodddxxxxxdddddddddddddddddddddoolllllooddc'...............;coddddddxkkkkkkxdddddoooooooooooooooooddxkkkkkkkkkkkkkkxxkkkxxxxxxxxxxxxdddoooollccccclllllllllllooddoollclllllllllcc:::;;;:;;,,'''''...............................................................................   ...........        ......     ......   ....   
..   ......................................................................................................................................................'''........'''''..',,,,,''''..'',,,'......................................''.........................................''''''''......''...',;;,,,''',,,,,,',;::;;,,''',,,;::cccccloooloolc:codxxxkxolcldkOkxo:,',;;;,..',,,,,,,,,,;::clolc:::::cclllooooddxddxxddolc::;;;:::;;;;;;::::::ccclcc::::;;::::::ccclllccc::cccccccclllccllooooddddddddddddxxxddddddddddddooooooooooodoc,.......  ....,codddddddxxxxxxxdddddddddoooooooooooddxxxxxxkkkkkkkkkkxxkkxxxxddxxxxkkxxdddddoooollccccllllllllllloooooollccllllllc:::;;;;,,;;;,,,'''..............';:cc:,........  ....................................................... ..                                .....    
......................................................................'........................'''...................................'..''''...'.........''''''..''..'',,,,,'''''''''........................................................'..................................'''',,;,'.....''''',,;;,''''''''''',;cc:;,,,''',,,,,;;;;,,;clooolc::cloollolc::codxdl;'',,;;;;;;;,,,,'',,''',;:clc:;;;;;;::ccclloodoooodddddddoolcclcccc:::::::::::ccc:::::;;:::::ccllllllllccccccccllllllooooodddddddddddooddddddooodddoooooooooooooodool;'. ... .....;ldddxxxxxxkxxxddoooddddddddooooooooddxxkkxxxxkkkxxxxxxxxxdddddddxdxxkxxdddddddolllllccccccllllllllllloollccllllcc::;;;;;;;;;,,,,,,,,''''...''.......':dxo;'...................... ..........................................  ...  .........     ..  ..                 
.........................................................................................''''''''''...''''''.....................''''...''...............'...........''''',,''''''.................................................................................................'''''......',,,''''''''''...''',;::;,,,;,,,'',,,,,,,,,',:clllc::;;:::cclllllodolc;,,,;;::::::;;,,,'',,'',,,,,;;;;;;;;;;;;;:clllooooollodxkkkkxxolcccc::::::ccccc:::::::::::::;;::clcccclccc:::ccllllllcloddddoodddddddooodddddddoddddolllolooddddddxdol:'......''..,cooddddxxxxxxxdddddddddddddddddoooooddddddddddxdddxxxxxdddooddoodddxxxdooodddddolcclllccccccccllllllllccccccccc:;;,,;;;;;;;;,''''''''''''''''..........''.......................................................       .....       .........                             
..................................................................................''..''....',,,,''''''''''''..................''''''''''.''''''''.......''''''......'''''''....................'''..''''''............................................................................''''''''..''',,,;;,,''''',,;;;,,,,;;;:;;,,,,,,,''''';:c:::::::;::ccccccc::;;;;::ccc::::::::;,,,,,;;;;;,;;;;;;;;;;,,;;;:clloodddolcclodxkkxxxdlc:::;;;::::::::;;::ccc::::::::clllllllllccccclllooolllooddoooodddddoooooooddddddddo;..,,',cdddddxxdoc'.....'''..'cooddddxxxxxxddddddddddddddddoooooooodddoooooodooodddxxdddoooooooddddooooooddddolcccllllllccccccccllcc::::;;:;;;,,,,;;:;;;,,'....'.........''''................................     ..............................    ....  .      ........                             ..
...............................................................................................''''''''',,,'''''''''''''''..''''''.....'''''''''...'''....................................................'''..................................................................'''''.....''''......'''''''''',,;;,,,,,,''''',;;,''',,,,;;:codddxxxxxxddddol:;;;;;;;;::cc::;;;;;;;;;;;;;;;;;;;;;;;;:::;;,,,,,;:cllodxxxdoccclodxkxdxxdoc::;;::::::::ccccclllllllllllcccccccclllllllooodddodddddddddddddooooooooodddoodddl;......':oddddddl,.. ...''...;loodddxxxxxxdddddddddddddddddddoooddddoooodddddddxxxkkkxdddoooodddddoooooodddoolc::::::::::ccc:ccllcccc::::;;,,,,,,,;;;;:;;,''.........'''.......................................    .............  ..   ... .............       ..   ........   .                    ....
...................................................................'''...........................''.....'''''......''''''...'',,'............''............................................................'''..............................................................''',,,'''''''..'.......''''''',,;;:::;,,,,,,,',,:::::::::::clodxkkkkkkkkkOOkxddolloddolc:cccccc:::::::::c::::::::::cccc:;;;;;;;::clooodddolllcccloxxkxxdddoccc:c:::::ccllcc:ccclcccllcccccccccclllllooooooooooooodddddooooooddddddddddooooooc'.... .,ldxdxdc'.   ...'...,cdddxxxxxxxxddddddddddddodddddddddddooddddxxkkkkkkkxkkkkxdddddddddddooodoooooolcc:::;;;::;::::;:::::;;:::::::;;;;;;;;;:::;,'.........'''''''.......................................................  ....... ...............    .....         .....                       .
...............................................................................................................''''''''''..'',,,,'''.............................................................................................................................''''..'.....'''''''''''.....''''...'',,,,,,,,,,,'''''''',,,,;:cllllloddolcllooddxxkkkkkxdollldxkOkxdolcccc::;::;;;;;,,,,,,;:ccc::;;,,;;;,;;:cclllllc::cccccllodxxxddollllcc::::::::::::cccccccccclllllllllloooddddddddddddoooddxxdddddddddddddddddooooo:.......'cdxdo:'.   .......':oddxxkkkxxxddooodddddddddddddxxdddddddxkkkxxxxxxxxddddxddddddxxxdoolllooolcc::::::;;;;;::c:::::::;;:::::::::;;;;;,,''''''......'...'',,''.....................................................   .............. ...........     .           .....                         .
.................................................................................................................'''','''''.....................................................................................''...''...........................................''''....'''''''''''''....'.''''...'',,,'''',,,,,,,,,,',,,,,,;;::::;:ll:;,,,;:cldxkkkkkxdocc:ldkOOxdc:;;;;;;;::;;;;;;;;;;;;::;,,'''',,,,,,,;;;;;;;;:ccclooooooodxxxxdddddoccccc::::ccccccccllllcccllclllllooddddddddddddooooodddddddddddooddddddoooddddc'. .....,lol;...  ........,loddxxxxxddddooooodddddddddddxxxxddddddxxxdddddddooooodddooddxxxdoollllllcc::::::::;;::::::;:::::::::cc::;;;;;,,,,,,''''..................................  .........................................................................       ...    .........            ....
.........................................................................................................''''.........................................................'''''''...............................................................''''.....''...............................'''',,''''''''',;;;,'',,,,',,,;,,,,,;;;;;;;;;;;;;;;,,,,;:cldxxxxdxxdlcccoxkkxxdl:::::;;::;;;;;;::::c:;;,,,,,,',,,,,,,,;;;;;;;;:clllloollllllodxxxddddddddoollllllllllllllllllcccllllodddddddoooooodoooodddddddddddddodddddolloodddo;.  .....,;....   .......':oddxxddddddddddddddddddddddddddddddddddooddodddddoooooodoodxxxxxdololllcc::;::::::;;::c::;;;::::ccc::::::;;;;;;;,,,''..........................................................................................................                   ......               .....
........................................................................................''..........................................................................'',,,,,,,,'''....................'.''''.......................................................'''....................'''''''''...','''',,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,;:cloddddoolcclodxxddddolccc:::;;,,,;;;::::;,,,,,,,,,,;,,,,,,;;;:;;::cllllcc::;:::::::ccccclodxxxxxxdooooooollllllllooooooodddddddddddddddooooddddddddddxdddooddooolloodddo;.  .......       ..','..,ldddddooooodddddddddddddodddddxxdddddddooooooooddddooooodddxxxxddoollccc::::::::;::::cc:;;:::::ccllc::;;;,,,,,,,,,'''........................................................................................................                                            ....
...................................................................................................................................................'''''....''''''......''',''',,,''........'''''''''''''''',,'..........''''''''.................................................'''',,,,,,,,,;;,,''''''',,,,,,,,,;;;;;;;;;;,,',,;;;;,,,,,,,,,,;;;::cllllloodooddddoolllc:::;;;;;:::::;,,,,,,,',,,,,;;,,,,,,;;;;;;:::;;;;;;;;:::::;;;:::::ccloddxxddoooooooolloodddddddddxxxxxxddddddddddddddoooooooodddoooooollllooodoc'. .......       ...''...;lddooooooooddddoooooooooddddoddddddooooodddooooooooooooodddddooooollcccc:;:::::;;::::::::::;:codolc:;;,,,,,,,,''............................................................ ................................................    .         ..  ...   ..    ..          ......
...............................................................................................................................................'........''.....................'',,''.....'',,'''..................''''',,,,,,,,,''...............................'''''''......'',,,,,,,,,,,',,;,,;;;::;;;,,,,;;;;,,,,;;,,,,,,,,;;;;;;;,,,,,,;;:clloooddxdddddddddxxxxxdoollc:::::cc:;;;,,,,,,,,,,,,,;;;;;;;;;;;;;,,,,,,,,,,,;;;;;;;;;::::;:::ccllodxdoodxddddddddddddddddddddddoooodooooddddoooooooooooooooooollloooool;.  ........      ..,,'...:oddoooooooooooooooooooooooooooddddddoooooddooooooooooooddddooooollcc::::::::::cccccc::::::;;:lddoc:;,,,,,,,,,'...............................................................................................   ........                     .....     ..           .........
...................................................................................................................................................................................'.....''....................''''''''''.......'.........''''''...........'''''''..''''....'''',,,,,,,''''''''''',,,;::;;,,,;::;;;;;;;;;;;;;;;;;;;;;;;,,;;;:::ccllllloodxxxdxxxdddddxkkkxxxxdolc::;,,,,,''',,,,,,,',,;,,;;;::::;;,,,,,,,,,,,;;;,,,;::cccc:::::::ccloddxxxddddxxxxxxddddoodddddddoooooooooooooooooooollllllllllllllloooc.  .........      ..'''...codoooooooooooooooooooooooooooodddddooddooodddooooooooddxdddoooollc::;;;;;;;:::c:::;;::::::;::cll:;;,,,,,,,,,''...............................................................................................      ..........    ......   ........     ....... ..............
..................................................................................................................................................................................''''.................................'.......''''''''''''''''''''.....'',,;,',,,''',,'''''''''''''''''''....'''''',,;;;;;;:::;;;::::::::;;;;;;;;;;;;,,,;;;;;;::;;;;::clooodxxxxxdollodxkO000Oxoc:;,,,,,',,,,,,,''''',,,,;;:::;,,,;;;,,,,,,;;;;;;:cllccccccc:::ccccclooollllodxxkOOkkxdoooooooollllllooooodddoooooollloollllllllloooooc,..........      ...''...'cooooooooooooooooooooooooooooooddddoooooooodddoodddddxxxddooolllc:::;;;;;;::::cc::;;:cllc:;;;;;;,,,''''''''.................................................................................................                ..   ..         ..      ....    ..  ..............
.........................................................................................................................'''................................................................................''''''....'''''......'''''''''.''...........'',,,,'''''''''''.....''''''''.........'''',;;;;;;;;;;;;;;;;:::::;;;,,,,,,;;;;;;;;;;;;;;;;;;,,,;;:cllllloooddoooodxkOOkxdoc;;;;;;;;;;;,,,,,,;;;::ccc:;;;;;;;;,,,,,,;::::::::::::::::::::ccccccllllllloooodkkOkxooooooodooodddddoooooooooooooloooooooooooooooooodolc:;,.  .      ....'... .:ooooooooooooooooooooollloooooooooooooodddddddddddxxxxxdooollccc::::::;;;;:::ccc:::ccccc:;;;;;,,,,',,,,,,''...............................................................................................     .   ..   .        .....      ...     ..........................
..........................................................................................................................'''..........................................................................''....'',,'...''''..........''''............''''''',,,'''...''''''''''''''''',,,'''''...'''',,,;;;;;:::::;;;:::::::;;;;;;;::::ccccccc:::;:::::;;:::::ccccclooooollodxkOkxolllodddxxxdolc:::clodxkkkkxdddddool:::clddxxddoolcccccc::::::cc::::cccclllllllllloddooooodddddddoddddddxxdoolllllllloollllooodddooooooodddol:'.        ...'''....;looooodoooooooooooooollloodddoooooddooodddddddddxxxddooollccc:::::::::::::::ccc::ccc::::::;;,,,,,,,;;;,'................................................................................................                        ........    ...    ..........................
...............................................................................................................................................'''.............................................................'''..................................''',,,,,,,,,''''''''''',,;;,''',,,,''''''....'''',,,,,,;:ccccccccccc:::;;;;;:::::::::::;;,,;;;:;;;;;;;;;;;;::ccccllcclodxOOxoloddxxxkkkOOOkxddxkkkO00OOOOOO000OkxdodkkkkOOOOkxxxddolcccclcccccccccllllooolclccloolloooddddddollllllodxkkdoollllloodddddoooooooooooooooool;..        ..........'coddoooooooooooddddooooooodddooooodddddddooddddxxxdooollcc:::::::::::::cclllcc:;,,;;;;:;;;,,,,,;,,,,;,'................................................................................................    .... ...............................  ............................
......................................................................................................................................................................................................................................''.................'''',,;;,,,'',,,,,,,;;,'.......'''''''''''''''''',,,,;:cccccccccccccccccllc:;;;;;;;;;;:;;:::;;;;;;::cccccccccccclodddxxxdooodddddodxO000OOOkkkkxddddddxxxkO00OkkkkxxxxxkkkkO00Oxdolollccccllllcclloolllccllllooooooodxxxxdoooooodddooolllooooodxxkxdooooooolooodddol:..       ............,:looooooooooooooddddddddddddddoooodddddddoddxxxxddoolllllc:::::::ccccccccllc:;;;;;;;;;;;,,,,,,,;,,''....................................................................................... .............................................................. ...   .......  ..
...............................'..........................................................................................................................................................................................................................'..'''......'''''''''''........................'''''',,,,;;;::cccc::::ccc:::;;:::;;;;;;;::;;;;;;;;:cccc::::::::cllccloodxkOOOkxxddoodxkxxddoooooodddddddoodkO00OxolooddddddkOKK0kdollclllllllllcllllllllllllloooooooddxkxdooolllloooooooooooooodxxxdoooooooooooooooc'.        ............',:coddddxddddddddddddddddddddddddddddddodddxxdddollccllcc:::ccccccccccccc::;;;:;;;;;;;,;;;;;;,,,'''...........................................'.....................................................................................   .......................  ...........
.............................''...............................................................................................................................................................................................................................................,,''...........................''',,,,,,;;:::::;;;:::;;;;;;;,,,,,,,;::;;;;;;;:::;;;;;;,;;:::::;;:::ccloooooddxxdoollccccc::cclodxxxxolccllllllclllooooodk0KK0kxoolllllllllllllollclllloooooooooodddxxxdooooooddooooooooooooodddddooooooooolooddo;.        .......  ......',:loddddddddddddddxxddddddoddddddddodxxddoooollcccc:::::::cccccc::cccc:;,;;;;;;;;;;;;;;;;,,'.'..........................................................................................................................   .... .........   ...............  ...........
..........................................................................................................................................................''.'''''........................'''''..............................................................................'',,,,,''.....'''...............'''''',,,,;;;:::::::;;;;;;;;;;;;;;;;;::::cccccccc::;;;;;;;;;;;,,;;:::;;;;;:ccllllol:;;::::::;;;;:clllllcc:cclcccccccloddxk00Okxdooooooooollllllooollllooolllooddooooooooodddddddooooooooooooodddddddooolllooooodoc'.        ....... .........',:lodddddddddddxxdddddddddddddddddxddoooolllcc::::;;;;:::::::::::c:;,,;;;;;;;;;;;;;,,'................................................................................................................  ........................... .    ................ .......... 
................................''.............................................................................................................................''''...........'''''.......'''..................................................................'''..............'''''............''''..........'',,,,,;;;;::cc:::;;;:::::c:::;;;:::ccccccccc:::::;;;;;;;:::::::::::::::ccllc:::::;;;;;::cc:::cccccc:::::::::ccclodxxxxkkOOkkxxddooooooooooooodddddddoollllooooooooooooodddddddoooddddddddddddddddooolcloooooool:.         ..''.. ..........'',:loddxdddddddddddddxdddddxxxddddddoolllllcc:::::::::cccccccc:::::::::;;,,,;;;;;;,,'....................''''...................................................................................          .............................................   ..........
...............................................................................................  .................................     ........................',,,'....................'''''...................''..................................................'''''''''''''',,,''''''''''.''''''''...'''',,;::;;;::::::ccccc::::;;:::::;;;::clcc::::::::;;;;;;;;;;::::::::::::ccllllc:;;:::cc:::::::::;;;;;;::;;;;::ccccodkkkkxxxxxkkkOkkkxxddddxxxxxxddddddddddddddddoodddodddooodooddddddddddddddoooddddddddooooooooddo:. .       .','..  .........''''':odddxxxddddddddddoooddxxxdddddoooolllllcccccccc:ccccccc::::::::::;;;;;;;;;,''''.............................................''''..........'''...........................      ............ ....   .............................................................
...................'''''''.......................................................................................................................................''.............................................''...............................................'''''''''''''''''',,''',,,''....''''''''''',,,,,;;;;;;;::::cc:cllcccc:::ccccccc:cccc::::cc::::::::;;;;:::::::::::::cccccc:;;;;;:::::cccc:::;;;;;;:;;;:::ccccccloddxxxxkkxxdddxOOOkdooddddooooddooddddddddddoooooooooool:::clodxxxxxxxdl;'',;;;:coddddddooooooc,.       ..',;'.   ..........''...';coddddddddddooooooodddooddoooooolcccclcccc:::::::::::::::::::;;;;;;;;,,'...................''...........................'''..........''''.................................. ................   ..............................................................
..................''''..............'.................................................................................................................................................................................................................'''.....''''''''''''....'..'',,,,,,,,,,'''',;;;,,,,,;;;;;;;,,;;;;;;;;;::ccllllllcccccllllcc::cccclllccccccccccccccccccccccllllccc:ccccccc:::::ccccccccc:::;;;;;;;;;;::::;::ccloooddxxxddxkOOOkddooooooooddoooddddoooddoooddoooddo:'...',;;:lodxdl,. ......'cdddddddolc:,...     ........    ..................';coodooddooooooooooolllllllllllcccccccccccc:::::::cc::::::;;;;;;;,'''..........................''..................''''........''.......................................  ......................,'........','..............................................
..................''''................................................................................................................................................................................................................................'''''''''''',,,'''''''''','''..''''',,,',,,,,,,'',,,;;;:::::;;;;;;,,,;;::clooooollccloolcc::::cclllccccccccccllllcccccccccllllc::cccccccccclllccccccccc::;;;;;::::::::::::::ccllcloddddxxxkOOOxdooloooooolllloooooooooooddddoooool:,....'''',;;;.     .....cdxxxdoc;,...   .    .......    .........  ...........,;clodddooooooollccccccccccccccc::::ccccc:::::::cc::cc:;;;;;;;,'.................................................''...........''.................................       .............'''..'''',cc;.....;c;............    .....................  ........
...............................................................................................................................................................................................................................................''''''''''''''''''....'''...''',,'''''''''',,,,,,,,,,,,,,,,,;;:::::;;;;;;;;,,,;;;::cclllllllllccccccccllllcc:ccccc:ccloollcclllllllcccccclllclllllllllllllllccc::::cccccc::cccccccllllloooddooddxkOOOkdooooooooolloooooooodddoodddoooooolll:'. .'','....      ..  .,;;;,.....       ...  ....   ..'.....      ........  ...,ldddddooooollcccc::cccccccc::::;;;:::;::::::cc::::;;;;;;,''...............................................''''......''''''',,''.....''..............................................'',,;;:lol:,..:ol,.......................................   .....
.................................................................................................''..................................................................................................'.......................................'',,''',,,,,,,''''''''''''''''',,''''''',,,''''''''''''''',,,,;;:::::;;;;,,;;;;;;;;;;;;;;::clllllllccccllccc:;;cllllcllllloooooooolllllccllloooddoolllclllllccccccccccccc:ccccclcccccccllloodddoddxxkkxdooooooooolllooodddoolc::::::loooollc:,....''''.......                   ..     .......   .':::;,.       .........   .,coooolllccccccc:::::ccc:::c:::::::::::::ccccc:;;;;;;,,,,,''...........................................................''....................................................',,;;;;;;;:cllloooodlcokxl,'',,,,'.......................................
..............................................................................................'.','.........................................................................................................................................'',,'''''',,,,,'''''''''''''''',,,''''''''''..............'''',,;:::cc::;;;;;;;,;;;;;;;;::::::cclllllllccc::;;;;:cclllllollcllolloolloddddxxxxxxxxdoolllcccccccccccccccccccllllllcccccclllllooolloddddooooooooooolllooddddoc,'..''...':lol:'...................                            ...   .';;;,'..................  ..:lollccc:::ccccc::c::::c:::ccc::::::::::::::::;;,,;;;;,,,,''..............................''...........................'''......................'.............................''.''',;codxxkkOOKKK0KXKOdl;,''.................   .....  ..............
.............................................................................................',,,,'.......................................................................................................................................'',,,,,,,,;;;,,''''''''',,',,,,,,,,'''',,'..''.......'''......'''',;:ccccc::::::;;;;;::::::::::cclloolc:::::::::::::clllllooollloooooddddddddddoooddxxkkxdoolcccllllllllooooooollllllllllloooooooooooooooooooooooooooooodddo:........   .','.. .......   ......          .        ........  ..   ..,:::;,.  .......   ....    .,cooooollcc:::c:::ccc::::c:::c:::::::::::;;;;;;,,,,,,,,''''........'''.................................................''''......................'.......................     .........,:ccldkOO0KXWWNKkxoc,...............................   .........
.........................................................................................',;,,,;:::;;;:c:;'......................................................................................................................''...''',,;;;,,,;;:::;;,,,,,,,,,,,'''',,,,,,'',,,,'.........''.........'''''',,,;;::c:::ccc:::::c::c::::::ccllc:;;::::::::::::cclloooooooooooooooooooooolooooddxxxxxdollooooooddxxxxxxxxxddddddoolllooooooooooollloooooooooooooodddooc;'....             ......   .....                  .....'''.  ..    .,::;,..   ....             .,cloolllcccc:::::::cc::cc::::::::::ccccc:;;;;;;;,'''''''.............'...............................................''..........................................................    ....',;:lxkxxk0KX0kxdoc;,................   .   .......    ........
......................................................................................',,;:c::ldxkkxl::;,.........................................................................................................................'..'',,,,,,,,,,,;;,,,,,''''''''''.....'''..''',,'''''''''''''......''''''''''',,,,;;;;;;;;::;;;::;;;;::::;;;;;;;;;;;;::::::::cclllloooooooooloooloooolllllooollllllllccclllllllllloooddxxxxxxxxddddooooooooooooooooooooooooooooddddool:'..                ..',..  ..         ....        .  ..''.      ..;c:,..  ........           .;cllcc:::::ccc:;;;;:::::::::::::;:::ccc::;;,,,,,'''...''......''''''..................................''..................................................................   ....    .....';collc:;:oxxo:,,,,,,,'....................  ..................
........................................................................................';::;:lxkkxdc;'........................................................................................................................'''''',,,,,,,,,,,,,,,,',,''''................'',,,,,,,,,,,,'''''''....'''''','',,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::;:::::cccccc::ccccccclooddooooooooooollllllooolllllllllllllllllllooolooooodddxxxxkxxddoooooddooooddddddddoooooooddddo:,..                   ..,,.            ..               .....  ....';,..  ........           .':cllc::::::::::::;;:::::;;:::::::;;::::;;;,,,,,''.''..............''''................................'''...........'.............'''''.............................................    ..';cc:,'',,'':oc'................................................
......................................................................................,;;;,'';cool:;,''.......................  ...............................................................................................'''''',,;;;::::;;,,,,,,,,,,,'''''''''''.''',,;;,,,,,,;;;,''''''''.......''''''',;;;;;;,,,,,;;;;:::::;;;;;;;;;;:::cccc:::ccccccccccc::ccclooodooooooooollloooodddddoooooolllllllloooooooodddoooododxxxddoddddxxxxdodddddxxxdddooodddddl:..  ...                 ..,'.          ........           ............  ..........           .;looolcc:::::::::::::::::::::::cc:::cc:;,,,,,,,''.................''''.................................................................................................................. ...''..........',;'................................................
....................................................................................'''........,::;,'..''...........................................................................................................'....'''''',,,'',,,;::c::;;,,''',,,''',,''''''''...'',;;;;;;;;;;:;;,,,,,,''''.....'',''',;;::;;;:;;;;;;:::::cc::;;,,,;;::::ccccccccllllcccccccccccllllllllllllllllooollodddddddddooooooolllooooooodddddoddddddddddoddxkkkkxddddl:;;::ccloddddol:'.   ...                    ......      ...........   ...       .      ...   .....            .;looollcc::cc:::::::;;;:::;;;;;;;;;:::;;,,,,,''''......................................................................................................................................... ................',.....  ....................................  ...
................................................................................................,'..............................................  .........................................................................'',,,,,,,,,;;:c:;;,,,,,,,''''''''.............',,;;;;::;;;,,,;,,'''''.....'',,,,,;;::::;;;;;;;;::::::::;;;;;;::ccccccccccllllllcccclccllclllcccllllccccccccllllooddooddddoooloooollloooooooooooooddddoooodddddddxxxxxxddoc:;'...,:lool:,..    .                        ......................   ......          ...                   .;loollc:::::::::::::::;;;;;;;;,,,,,;;;;,,,,,,,'''......................................................................................................................       .........  ..    ..............''.................................... ..  ......
..................'''''......................................................................  ...........................................................................................................................',,;;;;;;;,,;:::;;;,,,,,,''',,,,''''''''.'''''',,;:::::;,,,,,,,,,''''..''''''',,,;::::::;;;;;;;;;:::::;;;;;;:ccccccccccllooolllllllcccccllllcccllllllccccccllllloodooooodooooolllllloooollollooooooooooooooodddooddooddoooooc,. ..,;c:,..                                  ...........   ......      ..                               .:lollcc:::::;;;::::::::;;;;;;,,,;;;;;,,,,'''...''.............................................'.''......................................................................    ...........  ..............................  ............... ............        ..
................................................................................................................................................   ......................................................................',,,;;::::::;,,,,;;,,,,,,,'',,;,'''''',,,,,,,,;;;:ccc:;;;;;;;,,,,,,'''''''''.',;;::::::;;;;;;;;;:::::;,;;;;;::cclllllllllloollllllllllllccllllllllllllllllcccccclllloolloolloooolllllloooooolooooooooooooooooooooooolllooooool;.  ..','.                                         ...'...       ...                                   .'cooollccc::::::::::;:::::;;;;;;;;;;;;;,'''''......................''..........................................................  .........................................  ..    ......    .........................  .................   ............ ..       
.....................................................................................................................................................................................................................'''',,,;;::::;;;;,,,,,,,,,,,;;,'''''..'''''',,,,;::cccc:;;;;;;;;;;;,,,''''',,,,,,;;:c::;;;;;;;;;::::c::;;;;;;::cclllllllloooooooooooooooollllllllllllclllllcccclllccccclcccclllllllllllllooooollllooooooooooooooooooooooollooooddl;.  .......                                           ........    ..                                   ':lolllllcccccccc:::;::::;;;;;;::::;;;:;,,'''..................................................'.................................................................................  ...........................  .....   ...............    ...........            
..................................................................................................... ..........................................  ................................................................''',,,,;;:::::;,,,,;;::;;,,,,,,,,''''...'''''',,,;;;:::;;,,,,,,,;;;;;,'''',,,'',;::::::::::::::::::ccccc::;:::ccccllooooooooooollooooooooooolllllollllllllllllllllllllllclllcccllccclllllllloooooolloolooooooooooooooollllllolllllool,......                                                    .....  ..                                 .':llllccccc::::;:::;;;;;;;;;;:::;;;;;,,,,,,''...................''''................................................................................................  ..  ........     ...............   .......        ...   .   ....  ................ ..........
.....'.........................................................................................................................................................................................................'',,,,,,,;::cc::;;;;;;;:ccccc::;;,,''''..'',,',,;;:::::::;;,,,,;;;:::;;;,''',,,,,,;:cccccccc::::::::ccllc::::::cclllooooddddddooooolllooooooooooooooooooooloollllllllllllllllllcclllllolllllllllllooollllllllooooooooooooooooloollolllool;......                                                     ...                                     .:llcccccc:::;;;;:::;;;;;;;;;;;;,'',,,''.''............''''.....'''''...........................................................................................................................  ......    .......   ..............................  ... ..........
..............'........................................................................................................................................................................................'''.....',;;;;;;::cccc:;:::::::ccllcc:;;;;;,''',,,,;;;;::;;;:::;;;;;;;::::::;,,,,,,,,;;;;:::ccc::ccc:::ccccccccc::::::ccllooddooooooooooodooooooooooooooddddooooooooloooollolllllllllllllloooooolooolc;.',;lolllllooolllooooooooooddddooooddddddol:;,''....                                 ..                ...                                    .:ccc::::::;;;;;;;;;;;;;;;;;,,,,''''''''''''.............................................''''...'''''.............................................................         ......           ..       ..       .. ...    .................  ........................ 
.............................................................................................................................................................................................''''''....''',,,,;;;::::ccclllllllllllc:cclllc:;;;,,'''''',,;;;;;;::;;,,,,,,,;;:cc:;,,,,,,,,;;;::cllccccc:ccccccclllcc::;;;;:cclooooooodddoooooooooooooooooooolllooooooddoooooooooooooolllooooolooddoooooooool:'.  .':cllooooooooodooodddoooodddooooooooooollllcccc:;..                                 ..              ...                                   ..;ccc::;;;;;;;;;;;;;,,,,,,,''''...'''',,;;,,''...........................''....''..............'''''.........................................................  .......................      ......   ..   ...  .....    .............................  ... ...     .
.................................................................................................................................................................   ..........................''''',,''',;;::cclccccccc:ccllc::cccc::ccccccccc:;,,,,,,,;;::::::::;;,,,,;;;;:cc:;;,,,,;;;;:cloolllllllooooddddollc:::::ccclloddddddooooooooooooooooolooooooooooooooooooooooooooooooolcclooooooddddoooooollc,.     .;lloooooooodddddddddooooooooooooooodddolllooolc,.                                   .                .                                ...,:ccc::;;;:::::;;;;,,,,'''.........'''............................................................'''.................................................... ...    ............... .......      ....       .    . . ...   ...........  ................  ..............
...............................................................................................................................................................................................''',,,,,,;;;;;:clllc::;;;;::c:::ccc:;;;:ccccccllcccccccccclcc::;;;;;,;;;::;;;;;;;;;;;,;;:::cccccccllllooodddddolllccccloooooddddddddoooooooodddddddoooodddddddddddddddddooooooooooooooooooooooooooooolc;,...       ':llloollloooddddddddddddoooddddddddddddooodo:'.                                     ..                                            ..,;;:ccccc:::::::;;;,,,,,''''''.......''''..........................................................................................................................  ...........  ... ....       .................................................................. .... 
........................................................................................................................ .....................................................................'''''',,,,,,;;:cclc:::;;;::::::::c:;,,,,,;::;;;::cccclllllooolc::;;;;;::::;;,,;:cc:cccccccccc::::ccccccllooollcclllllloooddddddddddddddddoddddxxxxxxxdc;:lodddddddddddddddoooooooooddddddoddddollcc:;,... ...        ..,:llolllooddddddddoooooodddddddddxxxdoooooc;.                                                                                ..;clooooollllccccccc:;,,,,,,'''''''....................................................................'''..'...................................................................................................   ................... ...............   ...........         
...........................................................................................................................................................................................'..'''',,,,,,;;:cllc:;;;;;;;;;;;;;;:::;,,,,,;,,,;;;;;::::ccllllolc::ccllllcc:;::;:c:;;:lolllccccc::::ccclloooollc:::ccllloodddddddddddddddddddxxxxxxkOOx:...''';:llooddddddddxddddddddoooooolc:::,....      ...            ..;:loooodddddoooooooodddoooooooooollcc:;..                                                                               .':loddxxxxxxddoollloooolc;;,,,,,''''''''''...''...............................'''''...............''''''''''.............................................................................................................................................    ........  ...     
...........................''.............................................................................................................................................................'..'',;;;;;;;;;::c::;;,,,,,,,,;::::;,,,,'''.',,,,;:::::::::cclllllc::cllc:;;:;;;;;;::::clllolcccccc:::ccllllllcc::::ccloodddddddddddddddddddddxxxxxxxkkd:.  ......''',;:cccccccc::cc::;,,''....                                 ...'',;;::::cccccccc::::;;,,''.......                                                                                .,:cllllooddddddddddoodxxxolc:;;;,,''.............................................................'''',,;;;;,,''..................................................................................  .................... ...            ..     .   ......   ..........           
........................................................................................''..''....'......................................................................................,;;,,;:::::::::cc:;;;;;,,,,,,;;:::;,''''.....',;;::::::::::;;;:::::::ccc::;,,',;;;;;;:cccllcccc:::::ccccllllcc::::cclloooddddddoodddddddddddddxxxxxxxxo:'.   ...  ..........''.........                                                       .................      ..                                                                             ..,:ccccccccllooddddddddxxxxxdolc::;;,,,,,,,,,,,''....................................'.''''''''''',,,,,,,,,;;;,,'.................................................................         ....        ....... ...    ...            ......       ............................    
......................................................................................'''........'''''''.................................................................................,;::;;;::::::::;;,,,;,,,'',,,;;;,''......','',;::::c::;;;;,,,;;;:::::::;;;;;,,;;::;::c:::cc::::;::::cccclcc::::::cllloooooddddddddddddddddddddxxxdddl:.      ...    ...............                                                                 ....                                                                                         ..,::cccccccllclllodddddddddxxxxdol:::::;::ccc::cccc:;;,,,;;,''....................'''',,,,,;;;,,;;;;;,,,'',,,,,;;;,'..'........................................................     ..  ...     .....                  ....... ..............      ..........     ..........     ....
....................................................'''''.'''.........................''..''..''''''''''................................................................................',;:;;,;;::::;;,,,,,;;,,,,,;;;;;,,,''''',;;:::::::::::::;;;;::::;;;;;;;;;;;;,;;;;;;;:::::;;::ccccccllccc::::::ccclloooooddddddddddddddddddddxddddolc,.       ....   ...                                                                             .                                                                                          ....,:ccc:::::::ccccllodddooooooddolcccccc:::cccllllooooollcc::,''',''.......''',,,,,,,,,;;:;;,,;;;;;;,,,,,''''',,,,,,,,''......'''''''''''''''''''...................  ....   ...............................   ..       ...   ....................................................     
......................................................'''''''''''''''...............''''''''''''...''''''''''''''.....................................................................'''',,;;;:::;;;;;,,,,;;,,;;::;;,,,,,''',;;;;;:::;;;;:;;;;;,;;;::;;,,,,,;;;;:;;;;::ccc::::::::::clodooolc:::;:ccclloooooooddddddddddddddddddddddoolc;'..        ...  ....   ....                                                                                        ...   ..........                                                    .  ...';::::::::;::::::::ccccccllllooollccccccc::::::::cclloodddddoc:;;:::::;,''',,;::cccccc:::::::;;;;,,,,'''','''''''''''.'''''''',;;:;;;;,,,,,,,,'',,,,''''.........................................   .      ........  ..   ...    ....................    ......... ....................  
......................................'''''.........'''''''''''',,;;,,,''',,''''''',,,,,,,''''''...''''''..''''''...................................................................'',,,,;;;::;;;,;;;,,,,,;,,;;,,,,,'''''''',;;;;;;;;;;;;::;;;;::::;;,,;;;;;;;;;::::::ccc:::;;;;::cllooooolcc:::cccllloooooddddddddddddddxdddddddol:;''...          ..   .........               ...                                                          .         .........   ........                                               ...''',;;::cccc:::::;;;;::;;;;:::::cclllllllllllloollc:::::::ccclodddddol:::::cccc;,,;;:ccloooollllccc::;;;;,,''''''',,,,,,''''.......'',,;::::;;;;;,,,,,,''''''',''..........'.......  ......................... ...............................................................................   
...................................'''''',''.....'',,,,,,,',,,,'',,,,,,,,,;;,,,,,,,,,,,'''''''''''''..''...''''''...............................................................''',,;;;;;;;;,,,,,',,,,,,;;;;;,,,,,,,'',,,,,,;:::::::::::::;;;:::::;;;,,;;;;;:::::ccccc::::::::ccclloolc::::::::cclloooddddddddddddddddddddddddoc;,..  ..           ...   ...                  ..............                                                  ..   .     .........     .  ..                                               .,:cccccc:::::::;;;;;;;;;:::::;;::::::::::ccccloooddxdoc::::::::cclollc::;;,,;:cc:;;;:cllllllllllc::;;::::;;,,,,,''''''''''..'''......'',,,,,,,,,;;;;;,,,,,,,''''''''.........................................      ............................................................................... 
..........................................'''''''''''',,,,,;;;;;;;,,;,,,,,,,;;;::::;;,,,,,,''''''''''''''',,,,'''''.......''.............'''...................................'',,,,;;;;;;,,,,,;,,,,,,;;;;;,,,,,,,'',,;;;;:::::ccc::::::::;;;:::::::;;;,;;:ccccccccccc:::cccccclloollc::::ccclllooooooddddddddddddddddddolc:;,'....               ...    ..        ........................                                                  .......      .............                     .      ..             ........',:ccc::::::::::::::::::;;;;;::::::::::::::::::clodddddoc::::::::;:::ccccc:;;,,;;:::ccclcccc::::::;;;,,,,,,,,,;;;,,''''''''..'''.......'',,,,',,,;;;,,,,'''''''''''.'''..........................................   .........  .......   ............................................................
....'''''''''.''''....................''''''','''''...'''',,''',,,,,,,,,,,,'',;;;;:::;,,,,,,,,'''''''''''''''''''''......'''........''''''''''.............................'',,;,,;;;;;::;;,,;;;;;,;;;,,,,,,,,;,,,',;;::::::cc:::::::::;;;;;;;:::;;;;;;;;;::ccccccc::::::::::ccccllcc:::ccloddddddddddddddddddooodoolc::;,...........             ...       ...................''',;:::;:::;'..                                               .............   .....''....                                        ...',,;:::::::cccc::;;::::::;;:::;;;;;;;::::::;;;;::::::::cllllllc::;;;;,,,,,,,;;;;::::clooolc::;;;;;;;;,,,,,,,,,,'',,,;;;,',,,,,,,;;;;;,,'''''.'',,'''',,,,,,''''''''''''''....'....................................................   ..  .................................. .......................... .....
.....'''.......'''''..................'''',,,,,,''''''',,,,,,,,,,''''''''',''',,,;;::;;,,,;;;;;,,,,,,,,,,'''''''.......'.....''''''''''''''..''.......................'''',,;;;;;;,;;;;;;,,;;;;;,,,,,,,,,;;;,,,,,,,,;;::::::::::::::;;;;::;:::;;;;;;;::::::::::::cccccccc:::cccccc:ccccclooooodddoooodddddddoolc:;,,'............              .....   ...............',;:cclllloodddoolllc:;,'......'.........                 ....    .         ..........    ........                                      ..';::cccc:::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;:clool:;,,''',,,;;;;;;;;;;,,,,;;;;;;,'',,,,,,,,;;:;;,'',,,,;,,''',;;,,''''''''''''''''.......'''........ ......................................         ...............       ....  ...   .......................... ....
................'''...............''''''''',,,''''...''','''''''''',,'''''''',''',;::;;,,;;;;;;;;;;;:::::;;;;;;;,,'''''''.....''''.....................................',,,,,;;;,,,;;,,,,;;;;;;;;;;;,,,,;;;;,''',,,;:::::c::::::;;;;;,,;;::::;;;;;;;;::::cccccccccllcclccccclllccccllllloooooooooooooooollc;,'..........                       ...............',;:cllooooooodddoooool:;,,,,,,,,''''''...............      ...  .....               ..........      ....    ..                               ...',::c::::::::c:::;;;;;;;;;;;;,,,,;;;;;;;;;;::;;;;;;;;,;,,,,;;,,,,,;;,;;;;;;,,;;;;;,,,,,;;;:::;''',;,,,,,,;;;;;;;;,,,,,,,,,,,,,''''''''''',,,''',,,,,,,,;;;;;;,''',''',,,,''...........'.................................  ................ ....................   ...................   ..........     ..........
'............'''''........''...'''''''.....''''''''''''''''''''''''''''.'''.''''''',,'''',,,''''',,,,;;,;;;;;;;;;,,,,,,'''.....................''''..'...............''',,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;,,,,;;::c:::;:::;;::;;;;;;;;;;;;;;;;;;::::c::ccccccccllllllcccccllccclllllloooooooolc:;,,,'.....    ...                         ............',:clooooooooodooooooollc:;'....'',''........................        ........              ......                  ...                    ..         .........',;::c:::;;;;;;;;;;;;;;;;,,,,,;;;;;;::::;;;;;;;;;;,;;,,,,,,,,,,;;;;,,;;;,,,,''',,,,'',,,,;;;,,,,,,,,,,;;;;;;;;,,'''''''''....''....'''''''''',,,,,,,,''''''''''',,,,'.........................................................................  ........             ........    .....   ...........  ....
.............................................'',,''''''''''''''''''''''..''''''''''''..'''''...''''''''''''',,,,,,,,,,,,,'''..'...............''''''''''.........'''',;;;;,,,;;;;;;;;;;;,,,;;;;;;;;:;;,'''',,,,;:::::::::::::::::;;;;;;;;;:;:::;;::cccccccccccccllllllllllcclllllllllccccc:,,'.....        ......             .........     ...    ..;clooddddddoooooooooll:;;,,,,''.''........................  ...         ....                                                                            .......... .,::::::;;;;;;;;;;;;;;;,,;;;;;;;;,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,;;;;;,,,,,,;,,,,,'',,,,,,,,,,,,,,,,,,,;;:;;;;,'.....'...''''.'''''''...'''''''''''''..........''''.............................................................   ......  .  .........    .        ..............         .............
.........................''''''''''''.........''..........''''.................'''''''''''''''''''''''''''',,,;;;,,,,,;;;,''''''................'''''''.......'',,,,,,;::;,,;;;;,,;;;;,,,;;;;:::::;;;;;;,,,,,;;:::::::cc::::::::::::::;;;::::::::ccccccllllcclllllllccclc:;;;;;;,,'''......               .........   .......  ...  ..     ......':lodddoddddddddooooodo:'.....'',,,'''''...        ... ..   ...                                    .                                                  ..........       .'::::::;;:::::::;;;;;;;;;;;::;;;;;;;;;;;;;,,;;::;;;;;,,;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;;;,,,,'',,,,,,,,;;;;,;:::;,'''''''''''''''''''....''.........''''''.........''..................    ....   .................  .....................          ...    ....            ............... ......  ......
............................''........................'''''''''''.....''''''.....''''............''.......'''''....''''',,''''''....'''''''..'''''''','''''',,;;:;;;;;:::::;;;;;:::;;;;;;;:ccll:;;,,;;;;;;;;;:::::cccccc::::::;;::cc::::::cccccccc:::cccc::;;;;;,,'..............                         ......  .....   .........',,,;:::::::clddxddddoodddddddooddddo;..    .......''.......    ....'',;;:::,..                                                      .                              .....           ..;::::::::;;;;;;;;;;;;;;::;;;:;;;;,,,,;;;;;;;;;;;;;;;;;,;;;;;;;;;:;;;::;;;,,,,,,,,,;;:::;;;,,,,;;,,,,,,,,,,,;;::;,''',,,,'''''''''''',,,'''',,,'''','''''''''..'''''''...........................................................  ..    ...           ...............   .......    ....................
......................'',,'',''.............'''''''''''''''''''''''''''''',,,,'''','''''''''.''''''''''''......''''....''',,''.........',,,,,,'''''',,,,'''',,;;;;;;:::ccccc::cclllc:::::::c::;;,,,;;;;;;;::::::::::::;;:::::::::::::;,,,''''''''..............                 ... ..  ..................''...'',,;::;;::llllooooodddodddddxxdddddddddddddddddooodddddool:,..    .....'...........':llllloooooc:,.                            .........   ..   .....                                             ...'',;::;;;;;;;;;,,,;;;,,;;;,,,,,;;,,,,,;;;;;;;;;;;;,,,,,;;,,,,;,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;,,;;;;,,,,,,,,;;;;;;;;;,''',,,,''',,,,,''''''''''',,,,''''.............''''''..............................    ..... .. .....                ...............  ............................        ............
....................'''''...''.............................'''....''''...''''..''''........''''''''..''''..''..''''..'''''''''''..''...'''''''......'''''',,,,,;;;;;;:::::::ccccccc:::::::::;;;;;;;:::::::;;::cc::::::::::::::::;;;;;,,,''........''',,,,,,,,,,,,,,,;;;,,,,,,,,;;;;;:::::cclllooooooooooodddddddddddddxddddxdddxdddddddddddddddooooooooooddddoooooooooooooool:,.  ................ ..,:lllooooooll;.           ...........',''';:cc::;;,'.....  ......                    ...                    .,:::;;;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;,,,,,,,;;;;;;;,,,;;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;,,;;;,,,,,;;;;,,;;,,,;;;;;;;,,'',,,,'''''''''..'''''''',,,,,''...................'........................          ...................       ..........                .... .........   .. ....  ..... ............
...............'''''''''.......'''............''''......''''''....''''''..'''...''''.........''''............''''..........'''''''''..'''.......'...'',,,;;;;;;;;;::::;;;;;;;::::::ccccccccc::;;;;::::::cccccclllcccccccccc:c:::::;;;;:::;;;::;::::::cclllccccccccclllllloooooooooodddoooooooddddddddooodddddddoooooodddoooolloooooollooooooooooooooooooollllllooolllooooooooolc:,'..    ...............';clllooool:'.....     .......';clllllllooooooooc,...                                                    .';::::;;;;;;;;;;;;;;,,,,,,;,,,,,;;;;;;;;,,,,,,;;,,,,,,,;,,,,,,,,,,,,,,;,,,,,;;;;;;;;;;;;;;,,,;;;,,,,,,;;;;;;;;;;;:::;;,'',,,,,'',,,,,'''''',,,,,,,,,''.............................................    ......... ...... ..            ...............  ........ ..............................................
........''''''',,,,'''''''....'''''.........................................................''''''........'''''''''''''...'''''''''.....''''''',,''''',,,,,,,,;;;;;::::;;;::;:::c::cccc::::c::;;;::::::cllllcccccc:::;;;;::cc:::c::;;:::::::::::::::::ccclcccccccccllllloooooddoooooooooooooooooooooooooooddddoooooooddddooooooooooolooolllooooooooodooooooooollllllllllllooooooooolc:;,'...  ..............'',;::clcccllc;'........';ldddoooooodddddooooc,'..           ..                                        .',;:cc::::;;;;;;::;;;,,,;;;;;,,,,,;;;;;;;;;:::;;;;,,,,''',,,,,,,;;;;;;;;;;::;;;;;;;,,;;;,,,,,,,,,,,,,,,;;;;;;;;;;;,,,;;;,,,''',,,,'''''''',,,,,,,'.............................    .............     ..  ..                ...  ............................................. ..............................
........'''.''..''',,'''''''......''....................''.........................''''...................................................''''''''....''',,,;;;;;;;;:;;;;;::ccccc:::;;::::::::::::::::::cccccc::::::;;;:::::::;;;;;;;;;:::::c::::cccccccccccc::::cclllllloolloooooooollllllllloddollllllloooooooooooooooooollooooooooooooooooooooooooddddddooooooooollolllooooooooooooooolc:;'.......  ............',;;;::;,,,'.....',;:::cloodddddddooool;,..                   ...........                          ..',,::cccc:::::::::;;;;;;;;::;;;,,;;;;;;;;;;;;,,,,;,,,,;;;,,,;;;;;;;;;;;;;;;;;;;;,,,,,,;,,,,,,,,,;;;;;;;;;;;;,,''',,;,,,,,,,,,,,,,'''',,,,;;,,''.............................................             ......  .....               ...................      .......      ...     ................''...
.....'''''...''''''''''''''''''''''''............................................''',,,'''''..''''..........''..'''.........................''.......',,,,,,,;;;;;;;;;::::::::::::::::::::::;;;;;::::::::::::::::::;;;;:;;;;;;;;::::::::::::::::ccccc:cccccccc:cccclloollcccccccccclcccccccllllollllllllclllllooooolllooooooloooooooooooddoooooooooooooooooooollllooooooooooooooollllllooooooooolc:;,'...        ..........................,coooooooooddoc;'...             .';;:::ccccllc;.                              ...'','',,;;;;:::c:;;;;;;,,,;:::::::;;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;,,,,,,,,'''',,,,',,,,,,,,,,''''',,,,'............................''......................  .... ...               ................................    .........   .....   ........'...........'''
'.....................',,''''''......'''''.........'''''''''''..........................''''''',,,''.........'.......................''',,,''''''''',,,,,,,,,,,,;;;;:::;;;;;;::;;;:::::::::::;;;;;;;;;;:::;;;;;;;;;;:::;;;,;;::::::ccc:cccc::::cccccc:ccllcccccllllllllllccllcccccccccccllllllllllllllllllolllloooooloooooooddddoooodddooooooooooooodoooodddooooooooooodoooooooooooooooooooooodddddddolc:;,'..    ..................  .'::;;cloooooddddoooollcc:,'......',,;:cccccclllllc,.                                         .................,:cc:::;;;;:::;;;;;;;;;,,;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;,,'',,,,,,,,,,,,,,,;;;;,,,;;,,,,,,,,,,,,'''',,;;;,''...........................''''............................    ................     . .......................  ..........  ...............'''''''''''''''''
......................''''',,,,'''.....'''.........'................''...........'''........'......''''................................'',,,,,,,,,,,,,,,''''''',,;;;;;;;;;;;;;;;;;;;;;::;;;;;;,,,,;;;;;;;:::;;;;;;;;;;;;;;;;::cc:ccccccccc::::::cccc::cccccccllllooollllllllllcclllccccccccccclllllllllllooooooooooooooooooooooooooooooolloooooooooddooodddooooddddddddddddddoodddooodddooodddddooodddoooooolc:;,,,'...'',,,'''........,cllclllloooooooooooooooooolc::clllllllllllllllllc;.    ...                                            ..';::ccccc:::;;;::;;;;;;;;;;::::::::;;;;,,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;,,,,,;;,,,,;;;;;;;;;;;;;;,,,''..........................',,,''.........  ................  ..  ...   ..             .................   ..    ................''''''''''''''........'',,'
...........................',,,,'''...''..........................................................................................''',,,,,,,,,,,;;,,,,,'''''''',,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,;;;;;;;;;:::::::::::::::cc:::cc::cc:::::cccccllllllllllllllllccccllllccc:ccccccllllllcclllloooooooooooooolooooooooooooooooooooooooddddddooodddooddddddddddoooooooodddddddoodddddoooooooooooooooooooolllloooollllc:;,,;::clollllooooooooooloolooooooooooooooloollooooooollolc;'......  ..                                      .':cccc::::::;;;:::::::::::::::;;;;;:::::;;;;;;;;;;;;;;;;;;,,;;;;;,,,,,,;;;;;;;;;;;;;,;;;,,,,,,,,'',,,,,'',,,,,,''''''............'''''............'................................            ..     ......    ..   ......................................''...',,''''''''''''',,
..................'''''''......''''''''''''.....................................................................................',,,,,,,,''',,,,,,,,,,,,,,,,'',,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,;;;;;;;;;;::;;:::::::;;:::::ccc:ccc::::cclllloooooooooooooolllllllllllcccllcccllolllllloooooooddddddddddoooooddddoooooddddoooooddddddddddddddddddddddddooooooooooooooooooooooddddoooooooooooooooooooollloooooooooooooooooooooolooooooooooooooooolloooooooolllloooooooooolloooolc:::;'...                                      .;cccc:::;;:::::::::::::::::::::;;:::::::;;;;;;;;;;;::::;;;;;;,;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;,,,''''''''..........................'''''..............................   ..........           .           ..  ..  .................. ..  .............''''..''''...'''.'.....'''''''
''''''''''......''''''''............'''...............................................................................'''''''',,,,,,,;;;,,,,,,,,,;;,,;;,,,;,,,,,,''''',,'''''''''''',,,,,'',,,''',,,,,,,,,,,,,,;;;;,,,;,;;;;;;;;;;:;;;;;::::cc:::ccccccclloolloooooooooolllllllllllllllllllloooooooooloooooooooddodddooooooooooooooooooooooddooodddxdddddddddddddddoooooodddoddddoooodddoooooooooooooooolllooooooooooolooooooooooooollllllllllllllooooooooooollllllooooooooooooooooooolloolllloodoollc;,...                         ..       .,:ccc::;;;::::;;;;;;;;::::::::;;;::::::::;;;;;;;::;:::;;;;;;;;;;;;;,;;;;;;;;;;;;;:::::;;;,,,'''''''.......''''............''......'''''.......................................       ....   .    .......... ....   ................................'''''''''''''''''''........''''
;;:::::::;;,,,,,,,,,''...............................................................................................'','''''''',,,,,;;;;,,,,,'',,,,,,,,,,,,,''''''''...'',,,'''''',,,''''''''''''',,,,,,,,,,;;;;;;,,,;;;;;;;;;;;;;;;;;;;::::::::ccllloooooolooooooodoollllllllllcccclllllooooooooooooooodooooodddddddoooooooooooooollooddxxxxxxxxxxxxxdddddddddoooooooooooooodddoodddddooooooddooooddooooooddddddoooooooollloolllolllllccccllllllllllooooooooooooooooooooooooollllllllloolllllllllllloolc:,..                               ..;cc::;;::::;;;;;;;;;,,;;;;:::;;;;;;;;;;;;;;;:::::;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;:;;,,,'''''''........................''........''''''....................  ...........       ..                      .. ......................     ........''''''.......''''...''............''
',,;,,;;;::::::;;;;,,''''.........................................................''''''''''''''''''''''''.............'',,,'''',,,,,,'',,,,,,'',,,,,,'''''''''''''''''',,,,''''',,,,,,''''''''''''''',,,;;;;;;;:;;;;;;;;;;;;;;;;;;::;;;;::::::::ccllodddooooodddoooooooooollcccc:;;:cclllllllloooooolllooooooodddooooooolllllloooolodxxkkOOOO000OOOOOOOOOOkxxddddoooooooooooooooooooooooooooodddoooooooooodddoooooooooooollloooooooooollllllllloooooooooooooooooooooooollooollllllllllllooloooooloooooollllc:;,..                            ..,clccc::::::ccc::::::::;;;;;;;;::::::::::::;;:::;;;;;::::;;;;;;;;;;;;;;;;;;:;;,,,,,,,,,''',,'''......................'''.......................    ............... ..    ..        .         ...    .....  .....     ..........................''''..''''''''''.............'',,
''',,,,,,;;;,,,,;;;;,,'''........................................''',,'',,,,,,,,,,;;:::::::::;;;;;;;;,,;,,,'........'.''',,,,''''',''''',,,,,,,''',,,,,''',,,,'''','',,;;;;,,;;;;;,,,,,,,,,,,',,'',,,,,,,,,,,,,,,,;;::;;;;;;;;::::;;;;;::::::::ccloodddddooddddddddddxxxkkxxdoool:::cllllllllloooooooooooooooooddddooddooooooddddddddkOOOO000O00OOO000000KK0Okxdoooodooooooooooooooooooooooooooooooooooooooooooooooooooollooooooooooooooooooolllooooolloooooolooooooollooooooooooooollllooollllcclllllllllllllllcc;,'..                         ..;cllc:ccccccccccc:::::c::::::::::;:::::::::::::::::::::::;;;;;;;;;;;;;;,,,,''''''''''''',,'.''''''...'''''''....'''''.......................  ......................       .....     .....   ...    .............              .......''''''',,''......''''',,,,,'''''''''''''
''',,,,,,,,,'',,,,;;;,,,,''''''............................'''',;;::::::;;:::::::::::cccccc:::::::::::::;;;,,'',,,,,,,'''',,,''',,,,,,,,,,,,,'''',,,,,,''',,''',,,;;:::::::::::::;;;;;;,,,'''''''',,,,,,,,,,,''',,,;;;;;::::ccccllcc:::::::::clooddxkkkxxddxxxxxxxxxxxkkxxxxdddddddddddooooooooooooddddooodddddddddxxxxxxxxxxkkOOkkxxkkkkkkkxxkkkkxxkkO00000Okxdooodddddddddddddddddddddooooooooooooooooooooooooooooooooodddxdddxxxxxdddooooolllllllllllolllllloollllllllllllllllllllllllllllccccclllllllllllllccccccc:;,...                      ..';:ccccccc:::::ccccccc::::::::::::::::;;:::::::::::;;;:::::::::;;;,,,,,,,,,,,,,,,'''',,,''''''''''''''''''''''''..........................................................     ..........   .......................................',,,,''''''.......'''.......'.....'''''''
'''''''''''''''''',,,''',,''''''''''....................'',,;;;:::::::::::::::cc::::cccccccc:cccc:::::cc:::;;,,,;;;,,,,,,;,,,,,,,,,,,,,;,,,,,,,'',,,,,,,',,,,;;:ccccccccccccccccccccc:c:;,,',,;;,,,,,,,;;;;;,,,,,,,,,;:clooodddxxxdolllllllloddxxxxxxxxxddddddddddddddddooooooooddoodddddddddoooddoooddooddddddddxxkOOOkkOOOO000OOkxxxxxxxdddxxxxxxddxkOO000OOkkxxxxxxxxxxxxxxxxxxxkOOOOOkxddddddddooooooooooooooooooooodddxxxkkOOOOO00kxddooooooooooollllllclllllllllllllllllllllllllllllcllcccllllllllllllcllccccccccccc:;,'....                   ..,:cllccccccccccccccccc::::::ccc::::;:::::;;:::;:::::;;;;;;;;;,,,,,,,,,,,,;;;;,,,,,,;,,,,,,,,,,''..''''................................................................................   ......................................''''''............''''''.........'...'''''
,,,,,''''''''''','''...'.'',,,,,;;;;;;;,,''''''''..'',,,,,;;;;::::::::::::::::::::::::cc:::::ccccccc::::::::;;,,;;,,,,,,,,,,,,,,,;;;,,,,,,,,',,,;;;,,,,,,,;;;::clllllcccccccccccllcccllc:;;;;;::c:::::::::::;;;;;;;:cclooddddxxxxxddooooooodddddddddddooooooooooooooooooolllllllooolloooddddddodddddxxxxddooddxxkOOOOOOOOOOOkkkkxxxxxxxxxdddddxdxxxxxxkkOOOOOOOkkkxxkkkOOOOOOOOOkkO000KKKKOkkOOkxxxddddddddoooooooddddxxxxkkxxkkkOOO0000OOOkdoloxkkkkkkxoooooooollllloolllllllllllloolllllllllllllllccccccllccccllcccllcccclllcc::;'...                 ..';:clolllccccccccccc:::::cccc:::::::::;;;;;,,;;;;,,,,;;;;;;;;,,,,,,,,,,,,,,',,,,,'''''',,,,'''''''...............................................................................    .........................................''''''''''.......'''.............'''''''
,,,,,''''',,,,,,,''....'''',;;;:c::;;;;;,,''',,,,,,,;;:;;;;;;::::::cc::::::;;;;;;;;;;:::::::::ccccccc::cccc::;;,;;;,,;,,,,,,,,;;;;;;;,,,,,;;,,,,,,,,,,,,,;::::cllcccc:::::::::ccllllllllc::::::clllllccccccc::;;;:::clloooollllooooooooooooddddoooooollllllllllllloollllccccllllllloollooooooodddddddxxdddddddxkOOOOkkkkkxxdddddddddddxxdddddddddddxxxxxkkxxxxxxxxxxxkkOOOOOOOOkkkOOO00OOOOO00KK00OxdddddddddddddxxxkkO00OkkkxxkkOO00K00000OkdoddxkkkkOkxxxdddddoollllolcccclllllccllllllllllllllcclllccllllcccccccclllcccccccllllccc:;,'....               ..';:cclllllccclllccccccccccc::;;;;;;;;;;;;;;,,,,;;;;;;;;;;;,,;;;;;;;;,,,,,,,',,'''''''',''''''''''.............................................................................    .......................................'''''''''....'''''''''...''.......'''''..
;;,,,,,,,,,,,,,;,,,,,,,,,,;:::::::;;;;,,;;;;;;;;;;;;;;;;::;:::cccc::;;;;;::::::::;;;;;;:::;:::::::::cccccccccc:;;;;;;;;;;;;,,,,;;;;;;;;;;;;;;,,,,,,,;;;;;::cccccccccc:::::;;;:cccllllllccccc::::clllcccccccccc:::ccccllllllllcccccclllccclllllllllllccccc:ccccccccclllcc::ccccllllllllllloooooooooooooooodddddxxxxxkkxxxddddxxxdddddddddddddddddddxxxxxxxxxxdddddxxxxxkkkkOOO00OOkkkkOOkkOOOOO00000OxddxxxxxxxxxxxxxxkOO000KK0OOkkkOOOOkkxkkkkxxxxkkkkOOOOkxxxxxkkxxddollccccccclcllllolllllllccclllllcclllcccccccccllcccc:::ccccc::cccccccc::,'....            ...,;:ccllllllc::ccccc::::::::::::;;;;;;;,,,;;;;;;;;;;,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,''''''''''...............................................................................      .....  ............................''''''''...''''....'''''.........',,''...
,,,''',,,,,;;;::ccc::::::cccc:::cc::::;;,,;;;;;;;,,;;::cc::ccccc::;;,,;;;;;;;;;;;,,,;;;;;;,,,,,;;;;::::ccc::::::;;;;;;;;;;;,,,,,,;;;;::::::;,,,;;::;;::::::::::::::;;::;;;;;;;;;;::c::::ccccc::::cc:::cccccccc::ccccccllllcccccccccccccccccccccccllcc::::::::::::cccccccccclllllloooooooooooooooooooooooodddddddddxxxdddddddxxdddddddddddxxxddddddddddddddddddddddxxxxxxkkkkOOOkkxxxkkkkxkkkkOOOOOkkkOO0KXXX0OkkkxdddxxkkkOKKK0OkkkkkkkkxxxxxxxxxxkOO0KXNNX0kxxkO000Oxddoolllcllllcllllllcccllcccllllccccccccccccccccc:::::cccccc::ccccccccccccccc::;,,'....          ..',;;:::::::::::::::::::::::::::;;;;;;;,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,''.....'''''''............................................................ ..........................  .............................'''',,'''...''''.......'.................
,'''',,;;;::c:::cc::::::c:::::::::;;;;;;,,,,,,,,,;;::cccc::::::;;;;,,,;,,,,,,,,;;;;;;;;;;;,,,,,,,,;;::::::::cc::cccc::;;;;;;;,,,;;;;;::::::::::ccccc:;;;;;;,;;;;;;;;;;;,,,,,,,,;;;;;;;;;;;::::::::::ccccccc::ccccccccccccccccccc:::::ccccccccclllllcc:cc:::::cc::ccccccccllllloooolllloooooollllloooooddxxxxxxxxxxxxxxxxxxxxxddddddddddxxddddddddddddddddxxkkkOkxxxddddxkkkkkkkxxxxxkkkxxxkkkkOkkkkO00KKXXXXXXK00OOkkxxxxkkOOO00000KK0kxxxxxxxxxxxxkkO0XNWNKkxdxkkkOkkO00Okdolllllllllllllllllcclooddddddoolc::cccc:::::::::::::::::::::::::::ccccc::::::::;,'''....        ...'''',,,;:::::::::::;;;;;;;;;,;;,,,,,,,,,,,;;;,,,;;,,,,,,,,,,,'''''''''................'............................................................................ .......................................'','''''...........'''.........'''''''
,,''',;::::::::ccc:::;;::;;;:;;;,,,,,,,,,,,,,,,,;;::::;;;;,,,,,,,,,;;;;;;;;;;,,;;;;,;;;;;;,,,,,,;;:::::ccllcclllloooolc::;;;;;,,;::::::::::::::;;;;;;;;;;;;;;;,,,,;;;,,,,;;;,,,,,,,;;;;;;;;;;:ccccccccccccc::ccccccccc:::::::;;;;;:::::::::cccccccc::::ccc:cccccccllllllcccccllcllllllloddooolllooooodxxxxxxxxxxxdxxxkkkkOOOOOkxddddoddddddddddddxxddxxxxxkkkkkkkOOOOOkkkkxxxxxxxxxxkxxxxxxkkOOkkxxxkkkOOOOO00KKKK000OkxddxxxxxkO0KKK0OkkO00KKKOkxxxxxxk00OkxddxxxxxkOOO0OOxdodddddoooddddddddddddxxkO0KXKOkdollllccc::;;;;;;;;::::;;::::::;;:::;;;;;;;;::::;;:::::;,'''.....        .....''',,;;;;;;;;;;;,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,''''''''',,''''''''...''''''''''...''''.................'''........'....................................... .........................................',,,,,''''........'.........',,,,;;
'''',;:::::;;::::;;;:::;;;;;;;;,,,,,,'''',,,,,,;;;:::;,,,,,,,,,,,,,,;;;;;;;;;;;;;,,,,,;;;;;;;;;;;::::;;:c::cloooddxxxdlc::;;;;,,,;;;;;;;;::::;;,,,,,,,,,,,,,,,,,;;::::::::c::;:::;;;;;;;;;;;:clllcc:::::cccc:::::ccccc::::::;;;;;::cc:;;;;::ccccc::::cccccccclllllllllllcclllllcccllcllloooooooooooddddoodxxxxxxdddooooodxxxkkkkxxxkxxddddddddddddxddxxxxxxdddxxxkkOOOOOkkkkkxxxxxxkkxxxkkkkkkkkxxxxxkkkkkkkkOOkkkOOOOkxddddddoddxkkkkxxxkO0KXK0kxxdddddxxxxddddddddxkkkkxxdddxxxkxxddxkxddxxxxxdddxxkkO0000OOOOOkkxolc:::::::::::::::::::::::;;;;;;;,,,;;;;;;;::::::cccc::;;;,'............ .............'',,,,,,,,,;;;;;;,,''',,,,''''''',,,,,,''''''''''''''''''''''''''''''''''''''''''''.....'...............................................  ..........................................'',,,,''''''''''''''''''',,;;,,,''
,,,;;:::::;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,;,,,,;;;;;;;;;;;,;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;;;;;;;::ccccclooddddoolllc::;,,,,,,,;;;;;;;::::::;;;;;,,,,,,;:ccllodddddddddolc:;;;::;;;:cllc::cc:::cccccc::::cccc:::ccc::::ccccccc:::::cccclllllllccccccllllollccccllllllccc:ccc::cccccccccllllloollllooolooooollllllllllooddxkkkkkkxdddddddxxxxxxxxxxkxxddddddxxxkkkxkkOOkxxxxkkkkkxxxkkkkkxxxxxxxxxxxxxxxxxxxxxxxxddddddddoooodddddddxxkxxxxdddddddddddddddxxxkkkkOkkxkkkkkkkkkxddxxxxxxxxxxxxxdddddxxxxkO0000kxdoc::::::::::::::::::::::;;;;;;;,,;;;;;:;;:::;;;;;;;;;;;;;:::::::;;;,,'''''''....................',;,,,'''''''''''''.''.'''''''''''''''''''''...'''''...........'''''''''....................................  ....................................................................',,,''',''.'',,,,,,,''''
;::::;;;;;,,,;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;::;;;;;;;,,,,,,,;;;,,,,,;;::::;;;;;;;;;;;;;;;;;;:::cccccclllllodxxxkxdolcc:::;;;;;;::ccllllloolcc::;::::cclllooddddoodxxxxdolcc::::ccccc::;::::::::ccccc::ccccccccccc:cccc:cccccccccclllllllllllllcccccccccc:ccccc::::cc:::::;::::;::ccccccc::c:::ccccccllllcccccccclllllloddxxxxdoooddxxxxxxxxxddxxkkkxxxkkkkkkxxxxdxxxxxxxxxxxxxxkkkxxxxxxxxkkxxxdddxxxxxxxxxxxxddddddddooooooooodddxxdddddddddddddddxxxxkkOOOOOOkkOOOOOO000OkxddddddxxxkxxxdddddddddxkOOOkkxdoccc::::::::;;,;;;;;;;;;,,;;:::;;;;;;:::::::;;;;;;;;;;,,,,,,,;;,,,,,,,;;,;;;,,,''.'''''''''''..'',,,,'''''''',,,'''''''''''''''''.........''..................................................  ............  .....................................................................''''''',,,;;;;,,'''''''
;;;;;,,,,,,,,,;;;;;;;;;;,,,,,,,,,;;;;,,,;;;;;;;;,,,,,,,,,,,,,;;;;,;;;:::;;;;;;;,,,;;,,,,,,,,,,,,,,;;;:cccccccclllccllodxxxxxxddolc::::::cllllccclooooolllllllllllllllllllllodxkkxxdlcccccccc::::;;::::::ccccc:::ccllccccclcccccc:cccclllccclllooolllllcc:::;;;;;;::::;;;;;;;::;;;;;;;;;::::cc::::::::c::ccccccllllccccc::ccccccccccloddddddddddddxxxddoloddxxxxxxkkOOOOOOkxxxxxxkOkkkkkkkkkkkkkkkkkOOOkkxxddddddddddxxxxxddddddooodddddooddxxxxxddddodddddddddddddddxxkkkkkkkkkOOOOOOOkxdoooodkOkxddddddddddxxxxkkxxxdollllc::::::;;,;;;;;;;;;,,;;:::::::::::::::::;;;;;;,,,,,,,,,,,,,,,'''',,,,,,''''''''''''''''''''''''''''''''''''''''''....................................................................................................................................... ......................'',,;;;;;;;,,,,,''''''
,,,,,,,,;;;;;;;;;;:::;;;;;;;;;;;;;;;;;,,,,,,,,,,,''''''''.''',,,;;:clllc:::;;;,,,,,,,,,,,,,,,,,;;;;::ccccc:::::cllcccloddddddddolcccccccclllccclloooolllllllccclllllccccllloddddoooollcc:::cc::::::ccc::cccccclllcllllcccccc::ccccccclllllccccllccccc::::;;;;:;;;;;;;,,,,,,,,,;;;;;;;;;;:::::;;;;:::::::::::::cccccc:ccc::c::::ccccclooooooolllllooooooooooooooodddxkO000kxddddxkOOO000OOOOOOO00OOOOOOOOOkkxkxxxxdddxxxxdddddooddddddddooooodddddddddxxxxddoooddoooooodddddxxxxxkkkkkkkxddxxkO0K00Okxddddodxxxxxxxxxxxdoodxdddlc:::::cccc:;,,;;;;;;::::;;::::::::;;;;;;;,,,,,,,,;;,,,,,,,,'',,,,,''''',,,,,,'''''''''''''..''''''''..'''.''''.....................................................................................................................................  ......................',,,,,,,,''''.........
;,,,,,,;;;,,,,,,;;;;;;;;;;;;;;;;;,,;;,,,,,,,,,,,,,,,,,,,,,,,,'',,,;;:::;;,,,,,,,,,,,,,,,,,,,,;;::::::;;:::::;::ccllccclllllccccccc::ccccccllllllllllllccccccccccccccccc:cccccccccccccc::cccclcccc::;;;;;;;::cccccccccc:;:::::::::::::::::::;;;;,,,;;;;;;;;;;;;;;,,,,,,,,,,,;;,;;;;;;;;;;::::;;;;;::::;;;::::::c::::cccccccc::::::::ccllcccccccclllclllllllllllooddddxkkOkxdoooodxxddxxdoodxxkxxdooddddxxxxxxxkkkxxddddddddddddddoooodddddddddooodddxxxxxxxdooddddddddoooooodddddxxxxxkkkkxkkOOO00000Oxddoooddxxxxxddddoodxxxxxdollodddxxdolc:;;;:::cc::;;;;::::;;;;;;;;;;;;;;,,,;;;,,,,,,''',,,''''''',,,'''''''''''''''''''''''''''''''....................................   ......  ..................................................................................................................',;;;,,''''............
,,,,,,,,,,,''',,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''',,,''''''',,,,,,,,,,'''''',;::cccc:::::cc:::::cccccccccc::::ccc:::::ccccccllllllllllllccccc::::::::cc::::cc:::cccccc::::::ccccc:::;;;,,;;;;;;;;;:::::;;;;;;;;;;;,;;;;;,,,,,,,'''',,'',,,,,,,,,,'',,,,'',,,,,,,,,;;;;;;;;::::;;;;;;;;;:::::::::::;::ccllcccccc:::::ccccccccllllllccllccccccccccllooddddddoollooooollllllccllllllllloooolooodoodddooooooooooodooooooooooooddoooolloodddddxxxxddddddddoooooooooooodddxxxxkkkkkOOkO0KXXKOxxxxxxxxdddddddoooddddddddddddxxxxxxxdoc:;:::cc:;;;;;;;;;,,,;;;;;;;;;;;;;,,,,,''',,''',,'''''',,,,''''''''.''''''''''.''''''''..'.......................................  ............................................................'...........''..............................................',;,,''....'............
;,,,,'',,,,,'',,,,,,,,,,,,,,'''',,,,''''''''''''''''''''''..'''''''',''''''''''',,'''.''',;:cccc:cc:::::::c:::cccccllccccccccccc:::::ccccccllcccccccccc:cccc::::ccc::::;:::;;:::::::::::::::cc:::ccc:;,,;;;;::cccccc::cccccllllccc::::;;;,,,',,,,,;,,,,,,,,,,,,'''''''''',,,,,,,,,;,,,,,;;::;;;;;,,;;;;;;;::;:::;;;::ccc::::cc::::cccc::::ccllccccccccccccclllllllodddddxxdoodddooolllllcccllllllllllllooddoooooooooodddooooolllllllllllllllllllllloodddxxkxxddooooollloddoollloooooodddxxxxkkkkO000OOO000000OOOkxxxxddddddddddddooodddoodddolc:::::::;;;;;;;;;;;;;;,,,,,,,,',,,,,,,,,'''''''''''''''''''''''''''''''''''''''''''''................................... .......   ...   ................................................''',,,'',,,,,,,,,;;,,,,'''.....................................'',,''......''''........''
,,'''.'',''''',,,,,,,,,,,,,,,,,''''''''''''''''''''..''''''',,,'''''''''''''''''''''',,;;;:::::;;;;;;;;::::;;;;;;;;;:::::ccc::::::::::::::::::::c::;;:;;::::;;;;;;;;;;;;;;;;;::::cc:cccccc:cc:::cc:::;;;;;;::ccllloooooooddddoooodxddollcc::::::::::;,,,;;;,;;;,,,,''..'''''''''',,,,,',,,;,,',,,,,;;;::;;;;;;;::::;;:::::::cccc:cccc::::ccccllcccccccccccllllooooodxxxkkkkkkkOOkkxddddoollllllllodddoodddddddddddxddxxxxxxxdollllllccclcccclllloddddddddxxdddddooodddddxkkkkxdooooooodddddddxxxkkkkkkkO00OO0000Oxdddoolooddoooooolllloooooooollc:ccllllcc:::;;;,,,,,,,,,,''''''''''',,,''''''''''''''',,,,,''''''''''''''''....................................................................................... .............''..',,,,,'',,,;,,,,,,,,,,,,,,,,''''''''.............................'''......''',,,,,,,'''''''
''''''''',''',,,'''',,'''.'''''''''''','''''''''''...'''''''','''''''''',,,,,,,,,,,;;;::;;,;::;;;;;;;;;;;;;;,,,,,,,;;;;;;;:::::::::;;;;;;;;:::::::;;;;;:::::::;;;;;:::;;;::::cccclllloooollcllllcc::::::ccclloodddxdddoooooooolloddddddoooooooolccc::;,,,;;;;;;;;;,,,''.''''''''''''''''',,'''',,,;;::::::::;;::::::;::::cccccllllllccccccccccccc:cccccc:::ccclllclodddddddxxkkkkxxxxxxddolllllclloddoooooloooooooooooddddxkxdddooooooooooooooooddddxxdddddoooddoooddddddxxkkkxddxkxddddoooddddxxxxxxkkOOOkkOOOOkdddddoooooooolloollllooolloolllcccloddddolcc:::;;,,,,,,,'',,,,,,,'''''''''''''''''''.''''',,'''''''....'................................................................  ..........   ........................''',,,,,,,,'',,,,,,,,,,,,,,,,,;;;,,,,,,,,'''''''.................''''......'',;;;;,,''''''''''''
'''''''''''''''''''''''''''''''''',''',,'''',,,'''..''''''''''''''''',,,,,,,,,,,,,;:::::;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;::::::;;;;;;;;::::::::::;;:::::::::::::;:::::::ccccclloodddddxxxxddddddooccccllloodddddxxdoollllllllllllllllloooooodoolllccc:;,,,,,,;;;;;;,,'''''''''''''...'',,,,;;;;;;;;;:::::::::::::::::::cllllllooooooollllollllcccccc::::;;;:::cccclllcccclllllooolllloollcccccccccccccccllllcccccccclllloooooloooooooooooooooolllodddolllllloddoooooddddddxxkkOO0XX0kxddoodddddddodddxkkOOOOOOOOOOOkkkkkOOOkkkxxxdooooooloooollllllooooooooolc::;,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''...............................................  .   ............. ...................     .....................'''',,,,,,,,,'''''''',,,,''',,,,,;;;;;;;;,,,,'',,,'''............''''.....',,,;;;;;,''''''',,,''''
...............''''''''''''''''''''..'''''''''''.''','''''',,,,,,''''''''''',,,,,,;;;;;;;;;;;;;;;;;;;;;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::;;::;;;:::::::::ccccclllccllllllllllodddddxxkkkxxxkkkkxdddoooooooooooooollllllllllllccccccllllllllllcccccccccc:;,,,,,'',,,,'',,,,,,,,,'''',,;,,;;::::::::::cccclloollcccclllcloooooooooooloooooooooollcccc::::::::cccccccc::::ccc::cccccc:::::::::::::::::ccllollcclllllllloooolllllllllllllcllooooollloddoooooooddddddooddxddddddxxkk0KK0OkxddddooooooddxxkkOOOOOOOOOkkkxxxxkkkkOO0OOkxdooolllllllllllllllllloooolc::;,,,,,,,,'',,,,,,,,,,,,,,,,,'''''''',''''''...............................................        ......  .      .................      ..    ....   .......',,;;;,,'''''''''''''''''.''''..''''',,,,,,,,,,''''''.............''...''',;,,,,,''''.....''''''''
'''.....................'''',,'''..''''''''',,''''''''''''''',,'''''',,'',,,,,,,,,;;;;;;;:::;;;;;;;;;;;;::::;;;;;;:;;;:;;;;;;;;;;::::::::::::::::;::ccc::::cllllloolllllllllllllllooooodddddddddddddxddoooolllllllllllllllllllllllllcccccllllccccc::cc:::cc::;;,''''',''',,,,,,;;,,,,,,;;;::cc:::;;;;;:ccllooddddolllloooodddooooooollllloollloolccllcllllllclllllollcccccccc:::::cc::::::::::::::::::::cccccllllllllloddddddddollccccccccccclloooooooooooddddddddooooddxddddxxxxkxxxkOOOkxxdooooooodxxkkkkkxxddddoooooooooddxkOOOkxolooooolllllllloooooooooolllcc:;;,,,,,,'''''''''',,,,'''''''''''',,,,'''''.............................................        .......         ........    ......      .......  ........'',,,;;;,''''''''''''''''''......'..''''''',,,,,,'''''''.....'''''..'''.'',,,,''''''...'''.''''.....
........................'''',,'''''''',''''',,''''''''''''''''''''',,,,,,,,,,;;;;;;;;;;;;;;;::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::;;::::::::;;;:ccc:cclllllllloolllllllcccccclllllllcccccllllllooddolllllllllllllllllcccllcccc:ccccccclllccccc::::::::ccc:;;,''',,,,;;:;;;::::::::;;;;;;:ccc::;,;;::clolllloooooollloooooollloooooolllollcloooloolccccclllccccllcccclcccclccc:::ccccc::::::::::::::::::cccc::::ccclloooddxxxdolccccccllccccllllcccllllllllloooooooodddxxxxxxxxxxxddxxxxddddoooooooooooooolllloooooolllllodxxkkOOkxdddddoollooooooooooooooddoollc:;;,,,,,,''',,,,,''',,''''''''''''''''''....................................   .......       ................   ......        ...      ................'',,,,,,,,,'...'''''''''''''''..''''''',,''',,,,,,,,,,,,,,,,,'''''',''''''.',,,''''''''''''.......''''
............................'''''''''''''''''..'''''''''''',,,,,,,,,,,,',,,;;:;;,,,;,,,;;;;:::;;;;;;;;;;;;;;;;;,,,,,,,;;;,,,;;;::::::::::::::::;;:ccccccloooolccclccccllcccccccclccccccccccccccccllooolcclooolllllllllcc:::::;;;;;::clllllllcccccc::::::::::;,,'',;::::::::::;;;;::::::::;;::c:::::::;::cllcccccccccccccccccccllllolllllllllllllooddolccclodddollccccccccllllooolcccccccc:::cc::::::ccc::::::::cccc:::ccccllooolcccllllooollccclllllcclllcccloodooooooddddxdxxxxxxkxxddooooodxdoooollllloollllllllllllccclllllllloodddxkkkdolllloollllllllloodoollc:;;,,,,,,,,,,,,,,,,,,,,,,,'''''',,,'''''............................................... .... .........................       ..... ..................'',,;,,,,,,,'''''','',,''''''''''''''''''''''',,,,,,,,,,,;;;;;;;,''''''.......','''''''''''''''..'''''''
.................................'''''''''''''''',,,,,'''',,,,,,,,'',,,,,,,,,,,;;;;;,,;;;;;;;;;;;;;;,,,,,,'',,,,,,,,,;;;;;;;;;;:::::::;:::::::;;:ccccccclooolllcccc:::::::ccccccc::::ccccccccc:::cccc::::cclllllllcc::;;;;;;;;;;:::clllllcc:::ccccc::::;,,,,,,,''',,;::;;;;;;,,;;;::::::::::::::::c::::::;;;::cccccccccccllllccccllllcc:cccccllllooddooooodddddooolllllllooooooollllllollllccllcclcc:cc::::::::cllllc:cccclllolllcccccccccclllllloooolllccclooddddddooloddddxkkOOkkkkxdoooooxkOkxdlccllllllllllccccccccccccccccccccccloddddollllllllcccccclooooolllc::;;;;;;;;;;;;,,,,,,,,,;;,,,,,,,,,''......................................................      ...... ....    ......... ...  ........   ........''',,,,,;,,,;,,',,,,,,,,,''''',,,,,'''''''''',''',,,,'',,,,,,,,,,,'''''',,''''''..'''',,''''',,,'',,,,,,'''
...................................''''''''''',,''',,''..''',,,,,,',,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,'''',,,,,,,;;;;::::::::::::::;;;;;;;,;:cllcclllooolllllllcc:c::ccccc::::ccllllllcccc:::cccc:::::cc:cccccc:;;;;;;;;::c:::ccllllcc::::::::::::::;;,;,,'',''',,,'''''',,,,,,,;;;:::::;;;:::::::::;;;,,;:::::::ccccclcccccllllllcccccccccllccclloodddddddoooollcc::ccllllllllllllllollllloooolllccccc::::::::c::::ccccccc:::::;;;::::::cccc:ccllloooolllllooooooooddddxxkkOOOkkkkkkxxxkOOOkdolooolcccllccccccccccccccccccccccccccccccccccclllllllllooooooooooolllc::::;;;;;;;;,;;;;;;;;,,,,,,,,,,''''''''..................................................................  ................................',,,,,;,,,,,,,,,,',,,,'''''''''''',,,'''',,,,,;,,,,,,''....''''''''..........'''''''''''''''''''''',,,,,,''''
..................................'''.......''''''',,,'''...'''''',,,;;,,'',,;;,,,,,,,,,,,,,,,,,,,,,''',,,'''',,,,,,,,;;;;;;;;;::::::::;;;;;,;;::cccccllcllllcllllllllllcccccccccllllllllccclcc:cclllccc::::::::::::;:::;;;;;:::::::::::::;;;;;;;;;::::;;;;;;,,'''''''''''''''''''''',,,,,,,,,,,,,,,,;;;;,,,,;;;;,,,,;;,;;;;;;;::cccllccccc::::::::::::ccllooooollcc::::::::::ccccc::::cc:ccccllllllllcc:::::::;;:::::::::::::::::::;;;;;;;;;:::::::::clllccccclloooddddddddddddddxxkkkOOkkkkkkkkkkxooolllllllooloodddddoolcccccccccccc:::::ccc::ccllcclllccccllllllllolc:::::::;;;;;:::;;;;;,,;;;,,,,;;;;;;;,,,,,,,,'''''................................................   ......................................',,,,,,,'',,'''''''.'''..''''''''''''''',,,,,,,,,,,,''.......'...'...........'''''.......'....'''',,''......'
...........................................'''..............''',,,'',,,,,,',,,,,,,,,',,,,'''''''''''',,,,,'',,,,''''',,;;;;;;,,,,;;;;;::::;;;;;;;::::llllllllcclllcccccccccccllllcccccccccccllc:::::::::::;;::::::::;;;;;;;;;;;;,,;;;;;,,,,,,,;;;;;;;;;,,,,,,,,,''''''..'''''''''',,,,;;,,;;,,,;;;;;;;;;,,,,,;;;;;;;;;,,,,,,,,;;;;;;:::::::;;;;;;;;;,,,,,;;::::::::;:::;;::;;:::::::::::;;;;:::cc:::cccc:::;;;;;;;:::::::ccc::::::;;;;;;;;;;;;;;;;;;;:::::cllllllooddddooooooooooooodddxxxxxxxxxxxddollllloodoooddxxxxkkkxolclccc:::cccccccccccc::cccccc::c::::ccccccccllccccc:::::;:::;;::::cccc::::;;;;;;,,,,,;;,,,,,,,,,'''''..........................................   .......  .............................'''''',,,,,,,,,,,,'''''..'''''''',,,,''''''''''',''......................'',,'''''''''',,,''...'''''''..'''''
......................................''''''................''',,,,''',,''''''',,,,,'''''''''''''''',,,,''''',,''',,,;;;;;,,''''',,,;:::::::;;;;;:ccccllllllllllllcccccccccccccc::::::::::::ccc:::::::::::;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,'''',,;;;;;,,,,'''''',,,,'''''''''',,,,,,,;::;;;:::;:ccccc:::::;;,;;;;;;;;;;;,,,,;;;;;;;;;;;;;;,;,,,;,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;::;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;:;;;;;;;;:::::::::::cccccllllllllllllloolllllllllloooddddddoddxxdddddddoooodxxxdxxxdolcllllccccllllooooolllcc:::::::::::::::c:cccccc:::::::::::c:::::::::::::::;;,,,,,,,,,,;;;;;,,,,,,'''''...''..........................................................         .........',,;;;;;;;,,'''''''''''..'''''''',,,,,'''''...............................',,,''........'''......''''...'''...
.......................................''''...................''''''..''......'''''''''''''''''''''''',,''''',,,''',,''''''......'',,;;::::::;;:::c::::clllllllollcc::c::;;:ccccc:::::;,,;;::::cccc::::::;;;;,,;;;;;;;;;;;;;;,,;;;,,;;;;;;;;;;::ccc:cc:::;;;;;;;::::::;;;;;,,,;;;,;;;;;;;;;;,;;;;;;;::::::;;;;;;;;,,;;;,,,;;:;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,;;;;;;,,''''''',,,,,,,,,,,'',;:::::::::::;;::cccllc:cllloocc::cccccccccclllooooodddooollllllllllooolllloolllodoolllllooddddddooolccccc::::;::::::;;::::::::::;;::ccc:::;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;,,,,,,,,,'''''..........................................................    ...............'',,;;;;;,,'''''','''''',,''''''''''''''''.................................'''''''............'',,,,'''',,'''.
..........................................'''....................................''',,'''''''''''''',,,,''''''''''.''''.............',,;;:;;;;::::;;;;:::cclllllllcc::c::;;;:::::ccc:::::::ccccccccccc:;;;;;;;;;::c:::::::cccc::ccccllllolllooodddddddddddddddddxxxdddddddooodddoolllllcc:::ccc:::::::;;;;;,,;;;;;,,;;;;;;;;;;;,,,,,,,,,',,,,,,,,,,,,,,,,,,,,;;,,,;;,,,,,'''''',,,,,,,,''''',,''',,,,,,,,,,,;;,,,,,;;:::;,,,,,,,,,,,''''''',,;;;;;::ccc:::::ccccccccccccloooc::ccccccccccc::::cclcccccccccccccccccccccccclllcloolllllllooddooooooooooollc::;;;;;;;;:::::::::ccc:;:::::::;,,,,;;;;;::::;;;;,,,,,,,,,,,,,,,,,,,;;,,,,,'''''................................................         ..................'',,;:;;;,,,,;;;,'',,,,,,'''''''''.........................................',,,'...........'''''''''..'''...
..........................................'''....''''..'''.............'''''......''''...''''''''',,,,,''''''''''.....'''...............',,',,,,,,,,,;;;;;;:::::::;;;;;;;;;,;;,,;;:::;;:ccccc::c::;;;;;;,,,,;;::cccllllcccclllllllllllllllooodddoooddddddddxxxxxkkxxdddxxxxxxxxkkxxxxkkxxxxxxxkxxddxxxdxxxxdolcccccc:;;;;;;;;;;;;,;;;;,,,,,;;;;;;;;,,,;;;;;;,,;;;;;;;,,,,,'',,,,,''''''''''',,,,',,,;,,,,,,;:;,,''',,,,,,,,,,,;;;;:;;;;;;;;:cccc::cccccccccccc::::c:c:::cllc::::cllllcccllllllcc::;:::::::::cc::cccc::::ccccccccclloddddddddolcclllloooolllcccc:::::c::;::::::c::::::;;;,,,,;;;;;;;;;;;;;;;,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,'''............''''...........................   ...  ....................'''',;;;,,,,,,,''''''''''..''''''''''.......................................................''.............
....................  ..............................''',''...............''..................'','''''.''.''..............................''''',,;;;;;;;;;;;;;:::::;;;;;;;;;;;;;;;;:::;;::::::::::;;;;::::;;::ccccccccccc:ccccccloooooooooooooooooodddxxddddddxxxxxxxdddddddddxxxxxxxxkxxxxxxxxxdxxxxkkkkkkkkkkxxkkOkxdooolllccccccc:::::::;;;;;;;;;;;;;;;;;;,,;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;,,;;;;;;;;;;;;;;;;;,;;;;;;::clllc:::::::::::::::::::;::::ccccc::ccc::::ccllcccclllloool:;::::::;;;;;;;;;;;;;;;;::::::cclloooooddddddooooooddxddooooolllcc::::;;::::::::::::::;;;;;;;,,,;;;,,',;::;;,,,,,,,,,,',,,,,,,,,,,,;;;,,;;;;,''..''',;;;;;;,,,'...'.....................   .........................''...',,,''''''''...........''''.'''................''......................................................
.......   .........   ............... ....... ..............................''''''''''''....''','''''''''''''''.......................'...'...'',,,;;;:;;:::;;::::::::::::::cc::::ccccc:::::;;;;;;;;:::::ccc:::::::::::;;;::::clloodddooolllllllooddxxxxxxxxkkkxxxxxxxxxxxxkkkkxkkxxxxxxdddxkkxxxdddxkkxxxxxkkkkkOOOkkkOkkxkkkxxxkxxoollllc:::::;:::;;;;;;;;;;;::;;;,,,,;;;,,;;;;;:::::;;:;;:::;:::;;;;:;;;;::::::::;;;;;;;;;;;;;;;;;;:cllc;;:::::::::;;;;;;::cclllcc:::::ccc::::cccccclllloool:;::::::::::;;;;;;;;;;::ccc::::ccclllcccllllloooooddddxxxxxdddooollcccc::::ccccccc::cc::;;;;;;;;;;;;;;,,,;:c:;;;;;;;;,,;;,,,,,,,,,;;;;;;,,;;;;;,,,,,,,,,,,,,,,,,,,,,'''.'.........................................',,,,,,''''''''''''''''''''''..''.............................................................''''''..'',,'''..
.......   ........   ...............   ...   ....  ..........................'''''''''',''''..''''''',,'''''...........................'...........'',,,,,,,,,,,,,,,,,,;;;;;;:;;,;;:::::::;;;;;;;;;;:::;::::;;;;:::::::::::::cccllloooddooooollloodddxxxxxxkkkkxxkkxxxxxxkkkkkOOkkkkxkkxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOOO0000OkkO00OOkkxxdooollcc:;;;;;;;;;;;;,,;;;;;;;;:::;::::::::::;;;;;;;;;;;,,,;;;;;;;;::::;;;;;;;;;;:;;:::;;;;;:::::ccccccc::::cllllc:::::::ccc::::::cccccccclodolccccclllllllllc:::::ccllllccccllccc:::ccclccccccccllllooodddddddolllccllllllllllccccc::;::ccc::::cc::;;;;;:ll:;;:::::;;:::;;;;,,;;;,,,,,;;;;,,,,,,,,,,,,,,,',,,'',,,''''''''''..................................'',,;;;,''...''''''''','''''''..''''......'''....................................................'''''..',,'.''''
...         .....     .............         ........................................................'''.................................................'''''''......'','',,,,,'''''',,,,,,;;;;;;;;;;:;;;::::::::::::::cc:::ccccc:::ccclloooooooddddddddddddxkkxxkkOkkkxkkkkkkkkkxxxkkkxxxxkkkkkkkkkkkkkkOOOkkOkkkkkkkkkkOOOOOOOOOO0OOO00K000000OOOOOOkkxddddolccc::::::;;;;;;;::;;;::::::;;;;;;;::::::;;,,,,,'''',,,;;;;:::::::::;;;;;;,;;;;;;;;;;::::::::::::::::::::;;::::;::::::::::::cloollllllllclllcccccccccccclllooooollllllllcccccccc::cccccllodddddolcc:;;::ccc:::ccccclllccccccc::;;;:::;;;;:clolc:::::;;;;;;;;;;;;;;,,,,,',,,,,,,,,,,,;,,,,,,,'''''''',,'',,'''''','''''.........................'''',,;;;,''.'''''..'''',,'.....'',,,,,,,,,,,,,,,,,,''...'.................................''''''..............'',,
.            ........   .  ..   .     ...............................................................................................................................'''''''''''''''',,,,,;;;,,,,,,,,,,;;:c::::cccccccccc:::::::::::::cclloooooodddddddxdddddddddddxxxxxxxxxxxxxxxxxxkkkxxxxxxkkkkkkOkkkkOOkkkOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOOOOO0000OOO000OOkkxxxxxxdolllcc::::;;;;:;;;;,,,,,,,;;;;;;;;,,'''''''''',,,;;;;::;;;;;;;,,,,,,;;;;;,,;;;;;;;;:::::::::;;;;;;;;,,;;::;;;;;::;:ccccc::::cccccccc:ccccccccccclllllccclloooollc:;;;;;;;::::ccllllcccc::;;;;:cccccllllllloolc::;;;::c:::::::::clllc:::::;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,''''''''',,,,'''''''''''''''''...''''...........'''''',,;;;;;,,''''''''''''''',,''',,,,;:::;;;;,,,,,,,,;;;,,,,,,,,,,'..............................'''''.......''....''''
           .............. ...  ....................................................................................................................''...........................''''',,,,,,,'''''',,;::ccllllcclllllllllcllllllllllooooddxxxxxxxxdxxddxxxxxxxxxxddddxxxddxxddxxxxxxxxkkkkkkkkkkkkkkOOOkkkkkOOOO000000000000000OOOOOO000OOOOOOOOOO000000OOO000OOOOOOOO00OOOOkxdddoolccccc::::;,,,,,,,,,,,,,;,,,,,,,,,,',,,,,,,,,,,',,,''''',,;;,,,,,,,,,,;;::::::;;;;;,,,,,,,,,;;;;;;;;;;;;;:::::;;::c::::cllc::;;:cllccccccc::::::ccllcc::;;;;;:;;;;;;:::::ccclccccccccccclllccloooddoocccclllollccclllc:;;::ccccc::::::;;,,,,;;;,,,,,,,,;,,,,''',,,,,,''.'',,,'',',,,,,,,,,,,,''''''''''''''''''''','''',,,,,;;;;,,'''''',,;;;;;::::;;;;;;;;::::;;;;,,,',;;,,,,,,,,,',,,,,,,,,'''........................''....................
...        ...  .......  .........................................................................................................................'''............................'''.....''''''',,;:cclllcclcccccllllllooooooooolooooddxxxxxxxxxxdxxxxxxxkkkkkkkkkxxkkkxkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOO00000OkO0000000KKKKKKKK0000000000000K0000000000000OOOOOOOOkkkkkkkxxxxxxxddddoolcc:ccc:;;,;;::;;;;,,,,,,,;;;,,,,,'',,,''','''',,,,,''''',,;;;;;;;;:::;;;;,,,;,,,;;::::;;;;;;;;;:;;;;::::;;;:ccc::;;;:cccc:::::::::::ccclcccccc:cllc:::;;:::;;:ccccclllllcccclllcclooooddddoollooolc:::clcc:::cclllllooooolc:;;;;,,,,,,,,,,,,;,,,'''''''''''''',,,,,,;;;;;:::::::;,''',,,,,,,,'''',,,,,,,,,,,,;;;,,,,,'',;;;;;;::::::ccc::cc::;::::;;;,,,,'.',,,,,,,'''''''',,;,,''''''''...............''''''''''..........''''..'
.....      ..........'...........'''.......................................................................................................................'''..........................''',,,'',,,,,,,;;;;,,,;;;;;;:::::::::::;::::cclllllllloolodxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOOOOOOOOOOOOO000000000O0KXXXXKKXXXXXXK0000000000000000000OOOO0000000000OOOOOkkkkkkkkkkkkkkkkkkkkxdddoooolccccccc:;;;;;;;,,,,,,'',,,,,,'''''''''',,''''''',,,,,,;;;;;;;:::;;;;;;::::::;;;;;;;;;;;;;;;;;;;;;::ccc::cllllllc:;;;::ccllccccccllllcclloollcc::;;;;:clllcccllllllooollclloooooollllllllcc::cccc:ccccclllloooooolllc:;;;;;;;::::;;;;;;;;;,,,,,,,,,,,;;;;;::c::::::::ccc:::;,,,,,,,',;::::c::;;,,,;;;;;,''''',;;;;;;::::::;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,''''''''''''''''''..''''........'''''''..........................
.  .   ......'''''.''''...................................................................................................................................''''..''...''',,,'''',,,,,,,,,;;;;;;;;;;,,,,,;;,,,,,,,,,,,;;;;;;;,;;;;;;;,,;;;::::;;;::::ccclooooodxxkkkkOOOOOOO00K00OOO000OOOOOOOOOOOOOOOOOOO0000000000000000KXNNNXXXXNNWNXK000000000000000K00OO0OO000000000OOO0OOOOOOOkkkkkkkxxxkkkkxxddddddddddddolcc::;;;;;;,,,,,,,,,,''''''''''''''''''',,'''''',,'''',;;;;;;;;:::::::;:::;;;:::;;;;;;;;::::::cccc:::ccc::;;;::cccccccc:cccccccccccllllc:;;;;:cccc:::ccccccclllllllllllllccllcc:::::cccc:::c::::ccccclllcccc::::ccccclllllcllllllcc:::;;;;;;:cc:::ccc::;;;;;;;::::::;;,,,;;;;:ccclllc:;;;;:::;,,,'',,,,,,,;;;;;;;;;,,,,,;;;,,,,,,,,,''',,'''''''''''''''''....'''''''''''.....''''''''...................''......
........''...............................................................''............''''................'...................'''............'''''''',,'',,;;;;:;;,;;;;;:::::cc:::ccccccclllllclcccccccccclcccclcccccccc::::::;;;;;;;;;;:;;;;;:;;;,,;:cc:::cllooddxkkkkOOO00KK0OO000KKKKK000KKKKK000000KXXXXXXXXXXXXNNNNNNNNXKKKKXXNNNXXXXXXXXXXXXNNXXXKKKKK00000000000OOOOOOOOOOOOOOkkkkkOOOOOkkxxxxxxdddddddoooollclllcc:::;,;;;,,,,'''''',,,,,,,,,,,,',,'''',''''''',,,,,;;;;:::;;;;;;;:::;;;;;;,;;::;;;;;;;;;;;;::::::::::c:::ccc::;::::::::ccccllc::::ccc:::::ccccccccllllccccccclllooolcc::::::;;::::::;;::::::::::ccccccccccllllllloooolllllllc:::::::::;;:::::;;;;;:::;;;;;;;,;;:;:;;;:::::::;;;;;;,,,,;,,,;,,,,;;;;;;;;;,,,;;;;,,,''''''''''''''''''''''''''''''............'''....'''..........................''..''
'''''...................................................................................''......''.......''..'.........''''''''',;;,,,,,,,,;;;;:::;::ccccccc::cccccccccccc:ccllllllllloooooooooooddoooooooddooddddddddoooooooooooooooolllollcccllc::;;::cc:::::c::ccllloddxkOO0KKKKXNNNNNNNXKKXXNNNNNXKKKXXXXXXXNNWNNNWWWWWNNXXNNNNNWWWWWWWWWWWWWWWWWWWWNNXKKKKKKKKKKKK00OOOOOOO000OOOOOOOOOOOOOOkkkkkkkxxxxxxxddddddddddooooolc::::;;,,'''',,,'',,'''...'''''',,''''''',,,,,;,,,,,,,,,;;;;::;;;;;,,,,;;;,,,,,,;;;;;;;;;;;;;;;;;;;::::;;;;;::::::ccccccccccclllcccccccc::::cccllloollllllccccc::;;;;::::::::::::ccc:::cc:::cc:::c::ccclccllllccccccllllc::::::;;;::c::::;;;;;;;;::;;;;;;;;;;;;;;;;;:::;;;;;;;;,,;;;;;;,,,,,;;;,,,,,,',,,,,'''''''',,,,,,,,'''''''.............................................................''
..........''''......................'''...........................''............''''.........'''''''.......'''''''''''''''',,,,,;:::::::::::ccccccccccclllllcccccccclllllllloooooolllloooooddddddddddooooddddddxxxxxxxxddddxxxxxdddxxxxxxxxxdxxxxxxddddoooollllllllllllllooodxxk0KXXXK00KKKK000KKXNNNNNNNWWWWNNNNWWWWWWWWWWWNNNNNWWWWNNWMMMMMWWWWWWWWWWWWNXXKKXXXKXNNNXKKK00000000000KKK00000OOOOOOOOOkkkkkkkkxxxxxxxxxdddddxddolllcc:::;,,,,''''''''.......''''''...'''''''''''''''',,,;;;;;;;;;;;,,,,;;;,,,,,,;,,,;;;;;;;:;;;;;;;;;;;;;;;;;;;;;;::;;:ccccccc::ccccccccccccclllllllccc:::;;;::::::::::::ccclloollcccccccccccccc::::ccc::ccccccccccccccc:::;;,;;;;::::;::::;;;;;;;;,,;;;;;;;,,;;;,,,,,,,,,;;;;,,,,;,,,;,,,,;,,'''',,,,,''''',,,,,,;;;,,,,,''..............................................'''........'''''''''''
.........''.........'''.................................................''''.....'''......''.''''.....''''',,,,,,,,,,,;;;::::::::cccclccccccccccccccccccllllllllllllooooooooooooooddoodddddoodddddddddddddxxdxxxxxxxxxkxddddxxxdddxxxxkkkkkkkkkkkkkOOkkkkkxxxxxkkxxxxxxxxddoddddxkOOkkO00KKK0000KKXXNWWWWWWWNNNNWWWWWWWWWWWWWWWWWWMMWWWWMMMWWMMMMMMMMWWWNNNNXNNNNNNNNWWWWNXXXXXXXKKKKK0000000000OOOOOOOOkkkkkkkkkkxxxxxxxxxxxxddddooooooolc;;,,,,,,,,,,'''........'''''''........''''',,,,,,,,;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,;;:ccccc::::::clllcccccccccccc:;;;::;;,;;;::;;;;;::::cloddolllllllllcccc:::::::::::::::::::ccccccc:::::::;;;;;;;;;;;;,,,;;,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,;;,,,,,,,,''''''''''''.................................................................'',,''''''
.........''..'.....''''''''''''''.....................'''''............'''''...........'''''''.......',,,,,,;;;;;:::::::ccc:::::cccccccccccllllllcccccccllllooooooooooooooooooooodddddddddddooddddoddddxxxxkkxxxxxxxxxkxxxxxkkkkkkkkOOOkkkkkkkkxxkkkkkkkkkkkOO00000OOOOOOkkkOOOO000OOO00K00KKKKXXNNNNWMMWWWMMWWWWWWWWWWWWWMMMMMMMMMMMMMMMMWWWWWMMMMMWWNNNNNNWWMMMMWWWWWMMMWWNNNNNNNNXXXKKKKKKKK000000000OOkkkxxxxxxxkkkkkkxxxxxxxxxxxxdddxdoollc::;;,,,,,,''....''''''.................''''',,,,,;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;::;,,,,,''''''''',;;;;;;;;;;;::cccc:::cccccc:;;;;;;;;,,,,,,,,;;;;;;;;;:lllllllllllcccclllllcc:cclllllloolllllloddoooooollc:::;;;;,,,,,,''''',,,,,,,,,,,,,,,,,;;,,,,'',,,,,,,,;;;,,;;;;:;;;,,,,;;,,,'''''.'.......................................................................'''......
...'''''''''.......'''''''''''''''..........'..........................................'',,,,;;;;;;;;;;;;;;:::::ccc:::::ccccccccccclcccccccccllllccccccllllllllllllllloooooooooodddddddooodddddddddddddxxxxkkkxkkkkkxxxxxxkkkkkkkkkkkkkkkOOOkkOOOkkkkOOOOOO0KXXKK0KKKKKKK000KXNNWWWNNXXXXXXXNNWWWWWWWWMMMMMMMMMWWWMMMMMWMMMMMMMMMMMMMMMMMMMWWWMMMMMMMMMWWWWWMMMMMWMMMMWWWWWWWWWWWWWWWWWWWWWNNXXXXKKKKKKK0OOOOkkxxxxkkkkkxxxxxxxxxxxxxxxxdddddddoooolc:;;;;;,,'''''''''..................''..''''',;;;;;;;;;;,,;;;;,,,;;;;;;;;,,,,;,,',,,'..'.........''',,;;;;;:::::c::;;;;;:ccccc:::::;;;,,,,,,,;;;:;;;;;;;;:::::::ccc::::ccloooolllllooddoooooolloodddddddodollcccc:;;;;,,,,,,,,,,,,,,,,,,,,,''',,,,,,,''',,,,,,,;;,;;;;;;;;,,,,,,,,,'''''......................................................................'''..'''......
''''''''''''''............''......................................................''',,,;;;;:::::ccc::::::::::::cc:::ccccllcccccllllllcccc:::::ccccclllcccccccccclllloooooooollooooddoooooddddddddddddddddxxxxxxxxxxkkkkkkkkkkkkxxkxxkkkOOOOO000KKK0000000KXXXKKKKKXXKKKXNNXKKXNNNWMMWWNNNWWWMMMMMMMMMMMMMMMMMMMMMMMMWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWWWMMWWWWWWMWWWMMMMWNNNNWWNNNNXXXXXK0OOOOkkkOOOOkkkxxxxxxxdddxxxddddddddddxxxddoollc:;,,'''''''.........'''''''.....'''''',,;;;;;,,,,,;;,,,,,,,;;;,,,,,,,,,,,'''.........''',,;,,,,;;;;;;::::::;;;;;::::::::;,,,,,,,,;;;;;;;;;,,;;;;;;;;;,,,,;;::::::::ccccccclloolllloolcllcllodddooooollllcc:::;;,''',,,,,,'''''''''''''',,,,,,'''',,,,,,,,,;;;;;,,,,,,,,,,'''''''''...........................................................''''''.................
'............................................................................''..',;;;::::::ccccccc:::::cccccccc::::::::cccccc:cccc::::::ccccc::cccccccccccclllllcccccclllllllllloooddooddddddddddxxxxxxxxxxxkkkxxxkkkkkkkkkkkkkkkkkkkkkOOOOOOOOKXXK0000KKXNWWWNNNNNNNXXXNNXNNWWWWWWMMMMMWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWWWWMMMMMMMMMWWWWWWWMMMMWWNNNNNXK00KKKK00OOkkkkkkkkxxxxxxxxxddddddddddodddddoolc:;;,''','..............''.......'',,',,,;;;;;,,,,,,''''''''''.....'''............'',,,,;;,,,,,,,,,;,,;;;;;;;;::::;;,,,,,,,,,;;;;;,,;,,;,,,,;;;;,,,,,'',,,;;;;;;:::::::::::ccc:::cc::::::cllllllccloooolcc:;;;;;,,,,,,,,,,',,,,,,',,,,,,,,,'',,,,,,,,,,;;;;;;;;,,,,''''..'..'''''''..........................................................''''..................
.....................................''''''''.................'..............',,,;:::;;;::::cccccc::;;::cccccc:::;;;;;;:::::cc::ccc:::::cccccccc:::c::::ccccccccccllcccllllloooooddddddddddddoodddxxxkkkkkkkxxkkkxxxxxxxkkkkkkkOOOOOOOOOOOOOOOOOO00OO000KKXXNNWWWWMMMMMWWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWNNNNNNNXXXXXXXKK0OOOOOOOOkkkkkkkkkkxxxxxxddddddddooooollllccc::;,,,'''..................'''..'''''''',,,'.......'......................''',,;;;;;;,,,,,,,,,,,,''','',,,,,,,;;;;;;;;;;;;;;;;:::;;;;;::;;;,,,,,,,;;;;;;;;;;;;:::;;;:::::::::ccc:;;;;;:;;::cllllc:;,,,;;;,;;;;;;;;,,,,,,,,,,,,,,,,,,,;;,,,,,,,;;;;,,,,,,,,''''.........''..................................................................................
..............''''''''''''...''............................................'',,,,;;:::::::c:::::cc:::::::::::::::::::::::::::::ccllcccc:::c:::cccc:cccccccccccccccllloooooooollllloooodddddddoooddddddddddddddxxxxxxxxxkkkOOkkkOOOOOOOOOOOOOOOO00000KXXXXNWWWWWWWWMWWWMMMMMMMMMMMMMMMMMMMMWWMMMMWMMMMMMMMMMMMMMMWWWWWWWWWWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWMMMMMMMMMMMMMMMMMMMMMMMWWWWWMMWNNNNNNNNNNNNNNXKK00000OOkkkkkkkkkkkkkkxxxxxxdddddoooooooooooollc:;;,'...................................................................'',,;;;:::;;;::;;,,,,;,,,,,,;;;;;;;;,,;;;;;;:;::::;;;:::ccc::::::::;;;;,,;;;;;;;;;:;;;;:::;;;;;:cc::;::::::;:::::::;,,,,,,;;;;;;:ccccccc:::;;;,,,,,',,,,,,,,,,,,,;;;;,,,,,,,,''''''.......................................................................'..................
'''.''........''''''''''''..'''...........................'...............''''''',;::cc:::::::::::::::;;;;;;;;:::::::::::::cccccccccc::::::::ccllccccllcllllllcccccllllllllllccclllooooddddddoodddddddddddddddxxxxxxxxxxxxkkkxkkkkkOOO00KKKKKKKKXXXXNNWNWWMMMMMMMMMMWMMMMMMMMMMMMMMMWWMMWNWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWWWWMMWWWWWNXKK00OOOOOkkkkkkkkkkkkxxxxdddddddddooodddddddddoolc:;;,''...................................'''......................'''''',,;:::::::::;;;;,;;,,;;;,,;;;;;;;;;;::::;::::c:::::::::::::;:::::::;;,,,,,;;;;;;;;;;;;;;,,,;;;;:::cc::::::::::::;;;,,,;;:::cclllolllllcc::::;;;,,,;;;;::;;;;::::;;:::::;;;;,,,;;,''.......''...''''............................................................''''.....''
.................................................''.....................'''''',,,,;;;:::::::::::::::;;;;;;:::::;;;;;;:::::ccc:::::::::::cccclllllcccc:::cclllcccc:::ccccccllllllloooooooooooodddddddxxxxxxxxxxdddddxxxxxdxxxkkOOOkOOO0KXNNWWNNNWWWWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMWWWWWWWWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWNNNNNNNNXK0000000OOkkkkkxxxxxdxxxxxxxxdddddddodddddxxdddddddddol:;,,,,,'..''.......................'''''..''.....'''''.......'',,,,,;;;;;:::::::::::;;;::::;;,,;;;;;;;;::::;;;;;;;;;;;:::;;;:::::;;;;;,,,,,,,',,,,,,,,,,,,,,,,,,,,;;::::::::;;::;;;;:::;;;;;:::cccllllllllllccc::;;;;;;:::::;:::c::;;;:::::;;;,;;;;;;,,,,,,,;;;,''',,,,,,,,'................'''''''''''''''...'''............................
..'''''..................................................................''''''''',,;;;::::::::;;;;::::::::;;;;;;;;;;::cc::cccccccccccccccccccccccccc:::::cccccc:::ccccclllooollooooollooooodddddddxxxxxxdddxxxxxxxxxxxxxxxkkO0000000KXNNWMWWNWWMMMMMMMWWWWWWNNNNWWWMWWWWWNNNNNNNNNNNNNWWNNWWWMMMMMMMMMMMMMMMMMMWWWWMMWWWWWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWNNNWWWWNXXKKKKKK0OOOOkkkxxxxxxxxxkxxxxxdddddddddddxddddddoddddollc::;;,,,,,''','''''.''''.'..''''''.'''''....................'''''',,;;;:;;::::::;;;;;;;;;;,,,;;;;;::::;;;,,,,,,,,',;;;,,;;;;,'''''''''''''''''.....'''''''''''',,,;;;;::::;;;;::::::::::;;;;;:::cccccllcccc::::::::::::;;;;;;,,,,,,,,,,,,,,,,,,,,,'''',,,,,,'''''''''',,,''............'',,,,'''''.........''''''''.......................
''.''''''''''.........'..................................................'',,,,'''''',,;;;;;;;;;;;;;;;;;;;;;;;:::::::::::::::ccccccccccc:::::ccccccllcc:::::;:::ccccllllllllllllllllooooodddddddddddddddddddddxxxxxxkkkOOkkkOOOOOO00KXNWWMMWNXXWWWNNWWWWNXKXNNXXXNNWWWNXNNNNNNNXXNNNNNNNXXXXNNWWWWNNWWWWWWMMMMMMWWWWMMWWWWWWWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWWWMMMWWNNNXXXXKK00000OOOkkkkkkkxxxxxxxxdddddddxxxxxxddooddodddoollcc::;;;;;,,,,,,,,,,;;;;,,;;,,''',,''''',''''''''''.....'''''''''',,,,,;;::::;;;;;;;;;;;;,,,,,,;,,''''''''''''''''''',,'''''',,'''''''''.........'''''....''''',,,,;:::::::cccc:::::::;;;;;;;;;;;;;;::::;;;;;:::;;;;;,,,,,,,,,,,'''''''...'''''''''''''''''''''..........'.'''.........''''''',''.................................''...
...''''''...'''...............................................''''........''''''',,,,,;;;;;,;;;;;;;;;::::;;;::::::::cc::::::::::cc::::::::::::::cccc::::::cccccccccccccccccclloooooodddooodddddddddddddddddddxxxxxxxkkkOO0000000000KXXNNWWNXXXXNXK00KXXXK000KKKKKKKXXNNNNXXNWWWNXXNNNNXXXXXNNNNNNNXXXXNNWMMMWWWWWWWWMMWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWWMWWWWWWNNNXKK000OOkkkxxxxxxkxxxxxxxxxxxxxxxxxxxxxxddddddooooolllcc:;;::::::;;;;;;;;:;;,,,,,;;;;:::::;;;;,,,,,'...''''..........'''',,,,,,;;;;;;,,,,',,,''....'''....'''''''''''''''''',,,''..'''''..''''............''''''''',,,;;::::;;;;;:::::::;;,,,;;,,;;;;:;;;;,,,,,,,,,,,,',,''''''''''''''..''..............''''.........'''''''...............'''''''..''....''''''''''''''.......''''''
.....................................................''''''''''''''''..............'',,,,,,;;,,,;;;;;;::::;:;;;;::::::::::;;;;;;;;;;;;::::::::::::::::::cccclllllcccccccclllloooddddddoooodddddddxxxxddddxxxxxxdddddxkkkkO0KXXKKK0KKXXXXXXXXXXXXXXXKK00000OOOO0KKK00000KXK00KXXXXXKKXNNNNXXXNWWWNNNNNNNNNNWWWWWNNNNNWWWWNNNNNWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWWMMMMWWNNXKK0OOOkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxdddddddooooooolc:::::;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;,,,,,'''''..............''''''''''''',,,'..''''....''''''''''''...............''''...''''''''''........'''''''''''''''',,,',,,,,,,;;;;::c::::::::::::::;;;,,,''''',,,,,,'''''''''''''''...............'''.......''''''''''',,''..............................'''''''...................
................................................................................''''''''''''''',,,,,,,,;;;;;;;;;;;;;;:::;;;;;;;;;;;;:::::::ccc:::ccccccccccllllllllooooooollllooddooooodddooooodddddddddddddddoooooddxxxxkkkO0OOOkkkOOOOOO0KK000O0KKK00OOOOkkkkOKKXKK00000OO000000000KKXNNXXXXNNNWNNXXNNNNNNNWNNNXXXXNNWWWNNNWWWWWWWWWWMMMMMMMMMMMWMMMMMMMMMMMWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWMMMWNXXXKK00OOkkxxxxxxxxxxxxxxxxxxxxxxxkkkxxxxxxxdddooooooollc:;;;;;;;;;;;,,,,;;,,,,,,,,,,,,,,,,'''',,,,''''............''''''''''..''''.'''''''..'',,'''''''''.................'''.....''''''......'',,,''.....'''''.'''...'''.''''''',,,,,;;;::::;;;;;;;,,',,,',,,,,,''..''.................'',,,''''''''''..'''''''''.''''.........................................................
.......'''''.....''.....''..........................'....................''''',''',,,''''.'''''''''',,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;:::::cccccccccccc::::cccllllllllollllllllloooooooooooollllooooooooooodooddoooooooooddddxxxxxkxxxxkkkkkkkkkkxxxxkkOkkkxxkkkkkkOO00K000OOOO00OOOOOOOO00KKKKKKKXXXKKXXNNNWWNNXXXXXXXXXNNWNNNNWWWWWWWWWWWWWWWWWWWWWWWWMMMMMMMWWWMMMMMWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWNNNNNXK0OOkkxxxxxxdddxxxxxxxxxddddddddddddxxddddddddooooollcc:;;;;;;;,,,,,,,,,,,,,,,''''''''.''''''''''.......'''''''''''''''''',,,,,,,,,;,,,',,,,,''''''''''''''''''..''...'''...'''''',,,,''''''''''''''........''...............'''..'',,,;;;;;,,,''''''.''.....................'''''',,,,'''''.'',,,'',,,,,,''...''''...............................'''.....''''.....''''....
'.......''..................................'''.''',,,,,''''''......'''''''''''''''......'''''',,''',,,,,,,,,,,,,,,,,,;;;;;;;;;;:::::::::cccccccccc::::ccccllcccccccccclllllllllllllllllooollloooooooooodddooooddddoodddddxxxddddxxxxxxdxxxxxxxxxxkkkkkkkkkkkkkkkkkkkOOOOOOOOO000000000OOOOO00000KK000KKKXNWNXXXXXXNNNNNXXXKKKXXNNWWMWWNWWNNNNXNNNNWWMMMMMMMWWNWWMMWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWWWWNXK00OOkkOkkkxxxxxxxddddddddoddddddddddddooodddddddddoolc::::;,,,,,,,'',,,,,''',,,''''....'''..........''..'''.......'',,;;;;;;;,,,;,,,,,'''',''....''..''''''............'',,,,,,,,,,,,''''.....'''''.''..........''........''....''..',,,;,,,'''........''.....'''''..''..''',,,,,,,''''''''''''''''''''''''''''..................................''..............'......
'..........................................',,,,,,,,,,,'''''''''''',,,,,,,;;,,,'''''''',,,',,,,,,''''''''''',,,,,;;,,,,;;;;;;;,,;;:::::cc:::ccccccccccccccccccccccccccccccccccllllllllllllloooooooooddoooooooodddxxxxxxxxxxxxxdddddddddddxxxxxxxxxkkxxxxxxkkkkxxxxxkkkkOOkkkkkkkOOOkkOOOOOOOOOOO0KKKKK00000KKKKKKXXXNNWWNNXKKKKKKXNNWNNWWWNWWWWNNNNNWMMMWMMMWWNNNWWNNWWMWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWNNNWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWNXKKKKKKK0OOOkkkkkkkkxxxddddddddddddddddddoooooooooooooollllcc:;;;;;;,,,,,,',,,,,,,,,,,,,,,,,,''''''',,,,,'''..''''''',,;;;,,,,,,'''''...................................''''''',,,,;;;,,,,,,,'''''''''''''''''..''''........''',,,,,''....',,,''''.........'''..''''''',,''''''''''''''''''''''''''''''''''..''............... ............................................
..................................'','',,,,,,,,,,,,'',,,,'',,,,,,,,,,,,;;;;;;;,,,,,,,,,,,,,'',,'''''''''''''''',,,,,;;;;,,;;;;,,,;;;:::ccc:::cclllcccccccccc::::cccccccccccccccllllllloooooooolllooodddoooodddddddddddddddxxxxdxxxxxkkxxxxxxxxxxxdxxxxxxxkkkkkkkkkkkkkkkOOkkkkkkkkkkkOOOOOOOOOOOO000KKXXKKKKKXXXNXXXXXNNNXXKKKKKXXNNXXXNWWNNNWWWWWNNNNWWWWWWWWNNNWWNNWWWWWMWWWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMWNNWWWWWWMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMWWNXXXNNNNXX0OOkkkkxxkkkxxxxxxxxxxddddddddddddoooooooooollllollllcccc::;;;;,,,;;;;;;;,,,;;,,,;;,,,,,',,,,,,,,,,,,,,;;;;,,,,,,,''''''........................................'''..'''''''',,,'',,,,,,''',,,''',''''',,,'''''''''',,,'''''......''..'''.........'''''''',,,,,'''''....'...'''..''...''''''''''..................................................................
.............................'','',,;,,,,;,,,,,,;;,,',,,,,,,,,,,,,,,,;;;;;;::::;;;;;,,,'''''''''',,,,,'',,,,,,,,;,,,,,;;;;;;,,,;;;;;:::::::::ccccccc:::::;;;;:::;::cccccclllllllllllooddddooooloooooooddddddddooooooooodddddddddxxxxxxxxxxxxddddddddxxxxxxxxxxkkkkkkxxxkkkkkkkkkOOOkOOOOOOkkkkkkkkkkkkOOOOOO000KXXXXXXKKK00KKKKKKKK000KKXXXXXXXXNNNNXXNNWNNNWWWWWWWWWWNNNNNNWWWWWWWMMWWWWWMMMMMMMMMMMMMMWWWWNNNNNWWWWNWWMMMMMMMMMMMWWWMMMMMMMMMMMMWWNXXNWWWWWWNXK0Okkkkkkxxxxxxxxxxxxdddddddxxdddddooolllloolllllllllllcccc:;;;:::;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,;;,,;;;,,,,,,'''..........................................................'''.........''',,,,,,,,,,'''''''',,''.........'.....................''''',,,,,,,,,'''''....''','''...................................................................................
........'..................'',,,,,,,,,,,;;;,,,,,,''''''''''''''',,,;;;:::::ccc:::::::;;;;;;;;;;,'''''',,,;;;::::;;,,,,,,,,,,;;;;;::::::cc::ccc:::::::::::;;::c:::::ccclloooooooooooooooooooooooooooooooooooooooddooooooooooodoodddddddddddddddddooddddoooddddddddddddddxxxkkkOkkkkkkkkkkkkkkkkkkkkkkkkkkkkOOO0000OOOOOOkOOOO00000OO0000OO00KKKKKKXNWWWWNNNWWWWWNNWWWNWWWNXNNWWWWMMMMWWWWMMMWWWWWMMMMMMMMWWWWMMWWWWWWWNNNWMWWWWWWWWNNNNWWNNNNNNWWMMWNNNNWWWWWWWNNXX0Okkkkkkkkkxxkkxxxxxdddddddooooooooooooooooolllllllllllcccc::::::;;;;;;;;;;;;,,,,,,,,,,,,,,,;,,,,,,,,;,,,,''''................................................................................................................................'',,,,,,''..''''''.........'''.................................................................  ............  .
........................''''',,,,,,,,,,,,,,;,,,,''''''...''',,,;;;;;:::::::::::::::::::::cccccc::;;,,;;;;::::::;;;;;;;;;;;;;:::::::::cccccccc::::::::c::::::::::::ccclllllllllllooolllooooooooooddooooollllloodddoooddooooooodddddddddddddddddoooddooooooooddddddodddddxxxxxkkkkxxxkkxxxxxxxxxxxxxxxxxkkkkkkkOOOOOkkkkkkkOOOOOOOOOOOO0OOOOO00000000KXWWNXKXXNNNXXXNNXKXNNNXNNNNWWMMMWWWWWWMMMMWWMMMMMMMWWMMWWWWWMWWWWWWNNNNNNNWWWWWWNXXXXXNXXKXNWWWNWWWNNXXNNWNNK00OOOOOOOOOOkkkkkxxxxxxxxxxdddooddddooooooooooooooooooolooooollllc:;;;;;;;;;;;,,,,;,,,,,,,,,;;;,,,,,,,,,,,,,,''''...............................................................................................................................''',,,'''..''''''.....''......................  ...............................................................
'.....''''........'',,',,,,'''''''''''''''',''''''''''',,;;::::::::;;;;;;::;;:::::::::::cllllllllc:::::::;;;;::::::::::ccccccllcllloodddddddooooooolllllccccccccllllllllllllllllllooooooodoooooodoooooooooooooooooooooodddoodddddoooooooooooooooooooooooooooodddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkxkkkkkkOOOOOOOkkkOOOOOO000O000OO00KK000000000000K0000KKKKXNNWWWWWMMWWWWWWWWWWMWWNWWNWWWNXKXNWWNNNNNNXXXXXXXXNNNWWNKKKXXNXK0KKXXXNWWNXXKKKKKK00OOOOkkkkkkkkxxxxxdxxxxddddddooddooooooooooolooollllloolllllllcllccc::;;;;;;;;;,;;,,'',,;;;,,;,,,,''''',,,'''''''...''..''''''....... .............................................................................................................'''..'....................................  .........................    ............................ ......
,''''',''''......''',,,,,,,'''''''''''''''''''''''',,,;;::cc:::::::;;;;;;;;,,;;;::;;;;::cclllcclllccccccc::::::::clllllllooooooddxxxkkOOOOOOOOOOOOOOkxxddooooooooolllllllllllllllloooooooooollloooollloooooooooooooooooddoooooooolllllllooolllllloooooooooooooodddddddddddxddddddxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkxxkkkkkkkkkkkkkkkkkkkOOOOOOOOOOOOOOOkkkkkOOkkOOOO000000000KKXXXXXXNWWNWWNNXKKKKXXXXNWWWNNNXKXNWWWNXKKKKKXXNNNXKKKKXKKK0000OOOO0000KXXXXNNKKKKK0000OOOOkkxxxxxxddxxxxxxxxdddddddooooodddoooooooolllllllllllcccc:::cc:::::;;;;;;;;;;,,,,,,;;,,,,,,,,''',,''''''''..'''''',,,''...................................................................................'''''.........''''''''''''.........................................................................        ....................................
,,,,,''''''''''''''''''''''''''''''..'''...'''''',,;;::::::::::;;;;;;;;:::;;;;;;;:;;;::::cccccccllccccclllcc::::ccllllooodooooodddddxxkkkkkkOOOOO0000OOkkxxxdddddoolllllooooooooollllllllooooollllllllllllloooooooooollllllooollllllollooollcccccclllllllllllooooddoooooddddddddddddddddddddddxxxxxxxxxxkkkkkkkkkkkkkkkkkkkxxxxkxxkkkkkkkkkkxxkkOOOOOOOOkkkOOOkOOOOOOOOO0OOOOO000000KKXNWWWXKKKKKKKXXNNWNNNNNNNWWWNXXNNXXXXNNWNNXXKKKKKXXXXK000000000000KXXK00000000OOOOOkkkkkkxxxxkkkxxxxxxdddddddddoooodddoooooolllllllllllllccc::::ccccc::;;;::::;,,,,,,,,,,,',,,''''''''','''''''''''',''......................................................................................'''''.....''',,,,;;;,,,,,'''................................................................. ...   .  ................ .....................
;;,,,,,'''''''',,,,,,'''''..'...''''''''''''',;;,;;;;;;;;:::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::::cc::::::::cc::cllllllllooodddddddddxxkkkkOOOOO00OO000OkkkkxxdoooooooooolloooollllllllllllccccllllllllolllllllllllllllllllcccclllllllcclloooolllllllloooooooooooooooodddddddddxdddddddxxxxxxxxxxkkkkkkkkkkkkkkkkxxxxxxxxkkkkkkOOkkkkkkkkkOOOOOOOOkkkkkkOOkkkkkkkkOOO0000O000000000KKKKKKKKKKKKKKXXXXXKXXNNNNNNNWWNKKKKXXXXKKKKKK0KXXNNXK00000000000OOOOOOOkkkkkkkkkxxxxxxxxxxxxxddddddddddddddoooooooddddddoooooolllllllllccccccccccccccc::::;;;,;;;;,,,,,,;;,'''',,'''''''',,'',,,,,,'''............................................................................'''''''',,,,,,,'''''''',,,,,''..''...............................................................       ............ ..... ...................  .... 
,,,,,,,''''''''''''''.'''.''''.''''''',,,,,,,,,,,;;;;;;,,;::;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;:::::;;;;;;;;;;;;;;:cccccccclccccclllloodoooooddxxkkkkkkOOOOO00K0000OOkkxxxdddddoooooooollllllclllllllllllllllllllllllllllloooollllccccccllooooooooooooollllollllllloooooddddddddxxxddxxxxxxxxxkkxxxxxddxxkkkxxxxxkkkkkkkxxxxxxxxkkkOOO00OkkkkkkxxkkOOkkkkkkkkkkkkkkkkOOOOOOO00000OOOO00OOOOOOO00000000OOOO000OOO00KKXNWWNNXXXXXKKXXXKKKKK0KXNNXKKXXX00000OOOOOkOOOOkkkkkkxkkxxkkkkkkkxxxddddddddddoooddddooooooooooooooooolllllllllcccccccccclcccllllc:;;;;;;;,,;;;;;;;,,,,,,,,',,,,,,;;;;;;;;;;;;;,,,,'''''''''...............................................................''''',,,,,''''''','''...................''................................   ....    ... .........   ...       ..     .    .........   .....    ....
,,,,,,,''''''''''''''..............'''''',,;;;;;;;::;;::;;:::;;;;;;;;;;;;;;;;;;;;;::::::::::::;;;;;;;::cc:::;;;;::ccclllloollllllooddddddddddxxxxxxxkkkkkO0000000OOOOOOOkkxdddddddooooolllllllllllllllllccccclllllllllllllllloooooooooooooooollllllllllllllllllloooddddddddddddddxxxxdddxxxxxxxxdddddxxxxxxddxxxxxxxxxxxxxxxxxxxkkkkkkxxxxxkkkxkkkkkkkkkkkkkkkkkxkkkkkkkkkOOOOkkkkkkkkkkkkOOOO000000OOOOOOOOOOOOOO0000O0KXXNXXNXXXXXXKKKKXNXKKXXXKOOOOkkkkkkkkkkxxxxkkkxxxxxxxxxkkxxxxddddddddddoooooodooooolllllllooolllcllllllllcccccccccccllllllc:::;;;,,;;::;;;;;;;;;;;,,;;;::;:;;;;;;;::::;;;;;,,,',,,,,'''''...........................................'''''''....'''''','''',,,'''..''......................................................    ...... ......            ....              ..   ..........            ...
,,,,,,,,,,,'''''''''..'''''''''''',,,,,,,;;;;;::::::cccccclllcc:::::;;;;;;;;;;:::::ccc:::;::;::::::::cccccccc:::ccccclllllllllooooooddddxxddddxkkxxkkxxxkOOOO000OOOOOO0000OkxxxddddddddddoolllllcccccllllllllllollllllllloooddxxxdddddooooddooodddoooooooooooooooooodddddddddddxxxxxkxxxxxxxxxxddddxxddxxxxxxxxxxxxxxxxxdddxxxxxxxxkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxkkkkxxkkkkOOkkOOOOOkkkkOO0000000OOOOOOOOOOOkkkkkkkkkOOOO0KXNXXNWNXXXXKKK00KXK0Okkkkkxkkkkxkkxxxxkkkxxxddddxxxxdddddxdddddxddoooooooooooollllllllllllllllllllllllllllccccllllcccccc:;;;;;:::::;;;;;;;;;;;,;;;,;;;;;;;;;,,,;;;;,,'''''''''','''''''''',,,,,,,,,'''....................'...'''''''''....''...'...'''''........................................................     ......      ...  ......                  .    ..    .....  ...  .   ....   .
,,'''',,''''''..'''.....''''...''''''',;;;;;,;:ccccllllllodoooolllllccc::;;;;::::;;:::;;;:::::ccccccccccccc::cccllcccccllllllolllloooooooooooodxxxxkkkxxxxkkOOOOkkkO0000000OkkkxxkkxxxxddoollllllcccclllllloooooooddddddddxxkkkkkkkkkxxxxxxxkkkkkkxdddddddoooooooddddddxxddddxxxxxxxkkxxxxxxxxxdddxxxdddxxxxxxxxxxxxxxxxxxxxxxxkkxkkkkkxxxxxxxxxddddxxxxxxxxxxxxddxxkkkkkkkkkkkkkkkOOOkkkkkkkOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkOOOO0000K000KK000OO0KXXKOOkkkkkOOOkkOOOkkkxxxxxxxxxxxxddddddxxdddddddooollooooooollclllooollooolllccclllllllcccccccccc::::c:::;:::;;;;,,,,,,,,,,,,,,,,,;;,,,;;,,,,,,,,,'''.........'''''',,,,,,,,,,,,,;,,,,,''''''''''''.....'''''''''''...''''''',,,,,,,;;;,,'...........................................................            ..                 ....  ...       ....  ..     ...............
;;;,;;;;,,,,,,,''',,,,''''''''''''''',,,,;;;::clllccccllooddollooddoolllcc:::::::::::::::cc:::::::::::::ccccc::ccclllllllooooolllllollloooollloddddddddddddxxxxxxxkOO0000000000OOOOxddddooollllllllllllllloooooooodddddddxxkkOO00000OOOOOOOOOOOOOkOOOOOOkkkkxxxdddddddddddddxxxxxkkkxxxxxkkkkkxxxxkkxxxxxxxxxxkkxxxxxxdddddddddxxxxxxxdddddxxxxxxxxxxxxxxkkkkxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxkkkkkkkkkkkkkkkkkkkOOOOOkkkkkkkkkkkkkkkkkOOOOOOOO0K0Okkkkkkkkkkkkkkkkkxxxdxxxdddddddddddddddddddoolllllooolllllllooooooolllllllcccccllccccccc:::cc::::ccc::cc:::;;;,,,,,,,,,,,;;;;;;;;;;;;,,,,,,,''.....'''....''''''',''''',,,,,,,,''''''','''''''''.'''''',,,''''''',,,,,,;:cccc:;;;::::,'''''..........................................................       ..     .    .               .. ..      .        ..         .....
,,,,;;;,,,,,,,,,,,,,,,;;;,;;;;;,,,,,,,;;:::ccccclllcccllloooooooodxxxxxxdddolc::::;;;:::cccc::c::::::::cccccc:::ccccccclllllllllloooooddddoooodddddddddddxxxxxdxxxxxkkkkOOOOOOOOOkkkxxdooolllllcclllllllloooodddddxxxxkkOO00OO000000OO00000O000000000KKKK00KKK0OkxxddddddxxxxxkkkO00OOOOOOOOOOOOOOOOOkkOOOOkkkkkkxxxxxxxxxddxxxddddddxxxxxxxkkkkkkkxkkkxxxxxxxxxxxxxdxxxxxxxxxxxkkxxxxxxxxxxxxxxxkkkkkOOkkkkkkkkkkkkkkkxkkkkkkkkkkkkkkxxxkkkxxxxxkkkkxxxxxxxxxxxxxxxxxdddddxxdddddddxxxddooddddddoooooolllllloollooooooooolllllcccccccccccc:::::cc:cc:::::cccccc:;,,,,,,,,,',,,,,,,,,,,,,,,,'''''''....''''..'''''''''''''',,''''...''''''''',,,,,,,,,,,,,,,,,'''''',,,,,;:::cc:::;;;:c::;,'','''''..........'''.......................................  ...................  ....   ....   .   .........      ...            ..
,,,,,,,'''''',,,,;;:::::::::::::;;;;;;::ccccccccccclllccccccllooddddddddddxddolllc:::::::cccccccccccccccccccc::::::::::ccccccccccllllloooooooooooooooodddxxxxxxxxkkkkkkkkOOOOkkxxxkxxxddoollllcccllllloooddddxxxxxkkOOO00KK00OOOOOO0000000O00KKKKKKKKXXNXXXXXNNNNX0kxxxxxkkkkkkkkO000000OO000KKKKKK0000KKXKKKK0000OOOkkkkkxxkkkkkxxxxxxxxxxxxxxxxkkxxxxxdddddxxxxdxxxxxxxxkkkxxxkkxxxxddxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddoooodddddooooooooooooooooooooooooooooollllccclcccccc:::::cccccc::::::::::;,,,,,,,,,,,;,''''',,,,',,'',,,,,,,'''''''''''......'''',,,,'''''',,,;;;,,,,,',,'',,,;;;,,,,''',;;;;;;;:::;;;,,,,,;;;;,'''''''''''''''''''''''.............................  ...       ......   ...............    ........                 .......          .
;;;,,,,,,,,,;::::c::::cccc::ccccccc::::ccccccccccccc:::::::::cclooooooooooddoddddolllccccccc::::cccccclcccccc::::cccc:::ccc:::::::ccccccllllllllloooooooooddddxxxxxkkkxxxxxxxxkxxkxxddoooooooolcclllllooddddxxkkkkkkkkkkkOOOOOO0OOOO00K00OOOO0000000KKKXXNNNNNNXXXXKkxxkxkkO0000KKKKKKKK000KKKXXKKKKKKKXXXXXKKKKKKKK00OOkxxxxxxxxxxdddxxxxxxxxxxxkkkkkkxkxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkxxxxkkkkxxkkkkxxxxkkkkxxxxxkkkkkxxxxxxxkkxxkxxxdxxdddxxddddddxddoooooddoooooooooooooooodooooooooooooooolllllllllloolllllllllllccccccccc:::c::::::::c::cc::;;;;;;;;;,,,,,,,,,,,,''''''',''''',,,,,''''''''',,,''''''.''''',,,,,'',;;:::ccc:::;;:::;,,,,,,,'''',,;;::;;,;,,,,,,,,,'',,''''''...''''''''............''................. ...  .. ...   .  .....    ........  ...     .          ...      ..      ...          .....
;;;;,;;;;;;;:::::::::::::::ccc:::ccccccccccccccccccccccc:::ccccllllloodooooooooollllollcccc::::::cc:ccccccccc::::cccc::::::ccc::::::::::cclllllllooddddddddxxkkkkkkOOOOkkkkxkkOOOxxxxdddddoolllllloooooodddxxkOOOkkkkxxxxkxxkkOOOOOOOOO0OOOOOO00000000KKXNNNNNX0OO00OOOOOOOO00KKKKKXKKKKKKKKKKKKKKXKK00KKKKKKKKKKKK00000OOkkkkkkxxxxxxxxxxxxdddddddxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxkkxxxkkkxxxxxxxxxxxxxxxxxxxxxxxkkkxxdddddddddodddddddooooooddddooddoooooooddddoooooooddooooooollllllllllllllllcccllllccccclccc::::::::;::;;;;;;,,,;:;,,,,,,,,''''''''''''''''''..''''''''''',,,;;,,'''',,;;;;;;;:;;;,,;;,;;;;;;,,,;:cc::;,,,,,,,,,,,,,,,,,,,,',,,'',,,,,''''''''''......'.....'''''',,',,,'....',,,,''.....      .         .................                           .  ...   ....................
ccc::ccc::cc::::::;;;;;;;;;;;;;;:::::::cccccllllllllcccccllllcclllllllllllllllllcccllllccclcc::::ccccccccccccc:::::::::::::cc::::::::;;::cllooddooooodddddddxkkkkkkOOOOOkkkkxkOOOkkkkkkxxdoollooooddxxxkkkxxxkkOkkkxxxxxkkkkkkkkkkkkkkkkkkkkkO00KKKKKKKKXXNNNWNKOkkkkkkkOOO00000000000000000O0000KK000000000000000KKKKKK0000000OOOOOOOOO0OOkxdddddddddddoodddddddddddddddddxxxxxxxddddxxxxxddddxxxxxxkxxxxxxkkkkkkkxxxxxxxxxkkkkkxxxxxxddxxxxxxxxxxkkkkkkkkOkkxxddoooodddddddddddddddddddooooooooodddxxxxxddddoooolcccclllllllllloooodxxdollc:::::::;;;,;::;;;;;,,,,,,,,,,,,''''',,,,,'''''....''',,;;;:::::cc:::::::::;;;;;,,',,''''.'','''',;:cll:;,,,,,,,,,,,,,,''''''',,,,,''''...''''''''.......'',,,;;;;,,,,''''..''',,,;,,''.'..........  ..  ..........       ....            ...   .......................       ......
ccccccccccccc:::;;;;;;;;;;;;;;::::::::::cccllolllllllllloooolllllcccccclllllooooolllllllllllllllllllooooooollllcc::::::::::::::::::::::ccclllooddoooooddddddxxxxxxxxkkOOkkkkkkOO0000000OOkxddoodddxxxkkkkkOOOkkkkkxxddxxxkOOOOOOkkkkkkkkkkxxxkkOOO00000000KXXNX0OkkxxxxkkkkkkkkOOOO00OOOkkkkkOOO00OOO000000OOO00OO00000000KKKKKKKKKKKKKKKK00OkkxxxxxxdddoooooooooooddddddddddxdddddddddxxxxxddddxxxxxxxxxddxxxxxddddddddddxxxxxkxxxdxxxddxxkkkkOOO00000000000OOkxdooodxxxxxkkkxxdddddoooooooododdxxkkOOOOOOOOkkkOkkdlc:cloodddxxxkOOOOOOOxdolcc::::;;:::::::collcc::;;;;;;;;,,,'''',,''''''''',,;;;:::cccclllooooolc:;;;;:::;;,,;;;,''''''',,,;:clllccc::;,''..'''''''''''''''''..........'.......'',,,;;;;;;;,,,'''.....''',,,,'''''''.................. ..    .......... ..........................................           
:::::;;;::;::;;;;;;;;;;;;;;;,,;;;;;:::::::ccc::::cccccccccccccllcccccclccccclllllllllllooolllllooooodddddddddooooollllcc:::cccc::::::::::ccccllllloddddxxxxxxdddddxxkOOOOOOOO0000000OOOkxdoooooddxxxxkkkkkkOOkkkkOOOkkkkkxkkOOOOOkkkkkkkkOOOOkkOOOOOOOOOOOO0KXXKKK00OOO000OOkkkkkOOOOOOkkkkkkOOOOOkkkOO000OOkOO00000OOOOOO000000KKKXXXXXXXKKK00OkkkkxxxxdddooooooooooodddddddddddddddoooddddddddddddxxxddddddxxxxxddddddddxddddddddddxxxkkO0000OOkkkkkkkkkkOOOOkkxxxxxkkOOO000OOOOOkkxxxxdxxkkkxkkkkkkkkkkkkkkxkkOkxdooodddxxkOOOOOOkkkxxxxxdollllclooodddodxxkxxxdolcc::;:;;,''''''''''..''',,;::::;:cooddolcccc::::;;;;:::::;;;::::;;;,,;;;;;;::cclodddol:;,,,,'''''''....''..........'........'',,,,,;;,,,,,''''......''.........'''...............  ...    ......... ...............................'''''...............  ..
::::;;;;:::::::;;;:::::;;,,,,,;;;;;;::::;;:::::::::cc:::c::::cccccccccccllllcccclllllloooolllcccllllooddddddooooddxxxddoollccc:::::::::::ccccccccllooooddddddxxddddxkkkOOOOOkkkOOOOOkxxddoooooddxxxxxxkkkkkkkkkkkOOOOOOOOkkO000OOkkkkkkkOO00OOOOOOO00000KK0KXNXXXXNXXNNWWXKOOOOkkkkkkkkkxkkkkOOOOOOOOOOOOOOOOO0000000OOOOOOO0OOO00KK000000KKKKKK000OOkkkxxdddddoollllloooooodddddddoooddddddddddxxxxxxxxxddddddddddddddddxxxxxdddxxxxxkkkkkkkkxxxxddddxxxxxxxxkkOOOOkkxkkkxxxxxxxxkkkkkkxxxxxxxxxddddoooooooooooddxxxdddddooddxxdddoooollooooolllooddxddddooooodddxddddoolc:;,''',,''..'',,,,,;:c::;:clooolc;,;;;;;,,,,,,;;::;;;;;;::::::::::;;;;:::clloollccc:;;,,''''................'''''..'''',,,,,,,,,,,,'''........'''.........',,'.''''........  .. ..................''.................................................
ccccc:::::::::::::::::::;;;::::::::;;:::;::::::::::::::::::::::ccccccc:ccllccccllcccccclllllcccclllllllllllloooooodddddddodoollllccccccccllllcccllloooooooodxxxddxxkkxxkOOkkkkkkkkkxxdddxxkkkkkkkxxxxxxkkkOOkkkOOOOkkOOOkkkOOOOOOkkOkkkkkkkkkkOOOO0KKKKKXKKKKXXKKKKXXXNWWNXXXK00000OkxxddxxxkkkkkOOkkxxxxxxkkkOOOOOOOOOOOOOOOOOOOO0K00OOOOOOO000000OOOOkxxdoooollllllloooooodoooooooooodoooooddddddddddddooooddddxxkkxxkkxkxxxxxxkkkkkkkxxdoollllllllloooodooooddddddooooddxxdddddooooollllcccccllccccllccloooolllooooollccccccclllllllccccccc::cloooollcccccllllllooddddool:;,,,;,,,'.'',,,,,;::;;:clllc:;;;,;;::::;;;;;::::::::;::::::;;;,,,,,,;;;;;,,;;;clllc;;,,'''''.........''''',,,,,,,,,,,,,,,,,,,,''''...''.................',,,'',,''''',,'.............'........'''..................................................
;:::;;;;;;;;;;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::;;;;;;;;;::::::::::;;;;;;:::;::::::::cccc:cccccccccllllllooodddoooodddddddooollccccccllcccccclloooooooodxxddxxxxxxxxxxxxxxxxxxxxddddddxxxddddddddxxxkkkxxkkkkkkkkkkkxxxkkkkkkkkkxxkkkkkOO000000000OOkkkkkOkkkkkkkkOOOOO0000KXXXKkxxxxkkkkxxxxkxxxxxxxxxxxkkkkkkkxxxkkkkkOOOkkkOOOOOOOOOOOOOOOOOOOOOOkxxdooollllllooolllllllllllllllllllllooddoooddddddddxxxkkkkxxdddoooollooooooddddddooolllllllllllooolllooooollllloodddooddolllllc:::::::cclllllllllllllllllllcccccccccccclllllllcccc:::::clllccccccccclllcllooooodddlcc:::;;;;;;::;;;;:::::ccllcc:::clcccc:::;;,,;;;;;;;;;::cc:::;;;,,,,,,,,,,,,,,,;cllc:;,'''''....'''',,,,,;;;;;;;;;;;;;;,,,,,,,,'.....................',,,,,,,,,,''''.''.............................................................................
;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;,,,,,,;;;;;;;::::cc::::::;;;;;;;,,;;;;;:;;;;;;;;;;;;;::::::::::::;;;:::cccccccccllloollllllloooodooollccccccccccccccccccllllooooddddddddddxxxxddddddxxxxxxxddddddddddddddxxxxkkkxxxxxkkkkkkkxxxxxxxxxxddxxkkOO000OOkkkkkkkkxxxxxkxxddddoodddxxxxxkkkOOOkkkO0000000000OkkkkkkkxxxxxkkkkkOOOOOOO00000OOOOOOkkOOOOOOOOOOO0OOkkkxddollccllloolllllllolllllllllccccllloooollooooooooooooooooollllllllooodddooooodddddoooooddddddddoooooooooooooooodoooooooooollc:;;::::cclooooooollllllllcccccllllllllllloooollcccccccc::ccccccccc::::::::ccccllllooodddooollloooollc:::::cccccccccccc::;,,,'''''',,,,,,;;;;:::cccc:::;;,,,,',,,,,,:cllc:;,'''''',,,,,;;;::;::cc::::::::;;;,,,,;::;;;,'.........'''...',,,;;;,,''.''.......................................................   .........................
:::;;;;;;;;;;;:::;;;;;;;;,,,,,,,,,,,,,,,,,,;;;;::::::::;;;;;;,,,,;;;;;;;;;;;;;;:::::::::cc::::;;;;:::::::::::ccccccccclccccllooollllllccccc::cccccccccccccccllooooddxxkxxxxxddddddddddddddddddddxdddddxxdxxxxxxxxxxxxxxxxxxxxdddddddddxxxxddxxxddxxxxxkxxxxxxxxkxxxddddddddddddddddxxxxkkO0KKKXXNNNK0OkkkkxkkkkkkkkO0KKKKKKKKXNNNNXKK00O000KKKK00KKKKKKKKK0OOkdoooooooollllllllllllllllccccclllllllllllllcllllllllllllolllllllloooddooolllloooolooodddddddooooooolllooooooollllllllllc::;;;;;;;;:cclllllollllllllllccccllllllllcccccccccc::ccccc::::cc::::ccc:::::::::cccccllooddlcllloodolcc:c::;;;;;,;;;;;,,,,,,,,',,,,,'',,,,,,,,;;;;;;:::ccc:;;,,,,,,,,,;;:::::;;,,,;::ccc::::::;;;;;;;:;;;,,,,,,,,,;;:cc:;;,,'''''',,;;;,,,,''''''............................................................  ...........................
::;;;;;;;;;;,,,,,,,,,,;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,;;:::::::c::::::::;;:::c:::::::ccccccccccccccccccccccc::cccccccccccclllcccccccccccccccc::cclodddddxxkkkxxxxxxxddddddddoodddoooooooddxxxxxxxxxxxxxxxxxddddddddddooddxxxkxxxxxxxxxxxxkOOOkkkkkkxddoooooooooooooolllodooddxxkOO00KXXXXXKKOkkkOOkkkkkkOOOOO000KXNNWWWWNNXXXXNWWWNNNNNXXXXNNNNNXXK0Okxdddoollclllllllllllooollllllllllllllcclllllccccccclccccccclcccccccccccclllllllloooooooooolllllcccllllccc:::::::::;;;;;;;;;;;;::ccccccllllllllloollcccccccccc:;;;;;::::;;;;;;:::::::::::cc::::::::::cccccllllcc:::::ccc::;;;;;;;;;;,,,,,,,,,,,,;;;,,,,,,,,,;;;;;;;::;;;;;;;:;;;,,,;;;;;;;;;;;;;;:::;;;,;;;;;;;;;;;,,'',,,,'''....'''''',;;;;;;,,,,,;;;;;;,,''''................. .....''.......................   .....  ............................    .....
;;;;;;;;;;;;;;,,,;;;;;;;;,,,,,,;;;;;;;;;::;;;;;;;,,,,,,',,;;;,;;;;;;;:::::cccc::::::::::c::::::::::c::::cccccccccccccccc::::::::::::ccccccccccccccc::cccc:ccclloooollooododdddddddddddxxxxxdddoooddddxxxdddddddxxxxxxxxxxxxxxxxxxddxxddxxxxxxxxddooooodxkkkOOOOkkxddddddddddddoooooooooddddxxxxxkO00KKXXK0OOOkxxkkkkkOOOOOOOOO00KXXXXXKKKKKKKKKKKKKKKKKXXXXXKKKKK000OOkxdooooooooloooooooooooooolllllllllllccccllllllllcccccllllccccccllcclllccccllllllloolllccc::cccc:::::;;;;;;;;;,,,'''''''''',,;;::cclllllllllc::::::;;;;;;;;;;;;::::::::::::::::::;;;:;;;;::;;;:::::::ccccllllllcccc::;;,,;;;;;;;,,,;;;;;,,,,,,,,,,,,,,,,;;::::cccccccccccc:::;;;,,,,,,,,,,,,;;::::;,,'',,,,;,,,'''',,'''....''''''''''''''''''''''''''...........................'''''................ ..............  .........................     .....
::::::cc:::::::::::cccc:::::;;;;;;,,,;;;;;;;;;;;;;;;;;;;;:::::::::::::::;;;::::::::::::cccccc:::;;;;;;:::ccccccc:cccccccc::::::::::::::cccclllcccccccccccccccllllllcccllollllllooooooodddxxxxxxxxkkxxxxxxxdddddxxxxxxxxxxkkkkkkkxxxxxxdddoodddollcclllllloddxxxxxxddddxxxxxxxxxddddoooddddxxxddddddxxxxkkOOOkkkkkkOOOOOOOO000OOO0000O000OO0000OOOO00000KXXXKKKKKKK00000OkxdoooooooooodddxxkkkkOkkxxxxdddddooolllllllllllllllllllllllllllllllllccccccccclllccllcc:::::::::::::;;;,,,,,,,,'''''',,,,,,;;;;;;::::ccc:;;;;;;;;;;,,,,,,,;;::ccllllllccclcc::::::::::::;;::::::ccllodxxxxxdddollcc:::::;;;;;;;;;;;:::::;;;;;;;;;;:::::cloooooollllllllllllc::;;,,,,,,;;;::cccc:;;,,;;;;;,,,,,''''''........''''''''..''',''...................................................... ....................................................
looooooolllllllllllllllllllllllllllllooooooooooollllllllllllllllllloooollllodxddddollllllllllllllloooloddddddddddddoooooooooooolcclloodddddddxxddxxxxxxxxddddxxxxxddddxxxxkxxxxxkkkkkxkkkkkkkkkOOOOOkkkOOkkkkxkkOOOOOOOOOO0OOkkkkxxkxxxxxxxxdxxxxxxxxxxdxxxxxxxkkkkxxkO0KKKKKK000OOkkOOOOOOOkkkkkkkkkxxkkOOOOkkOOO00000OOOO00OOO000000KKKKKKKKKKKXXXNNXXXXKKKKKKXXK000000OkkxxxkkkkkkkOO0KKXXXKKKK00OOOOOkkOkxxxxxxxxxxxxxxxxxxxxxxxddxxxxxkxxxdxddddddddddddxxdollllllllllllccccccccccc:::cccllllcccccllllooooooollcccc:::c:::c:::cccloddddddoooooooooodddddddddodddxxdooddxxxxxxxxxkkkxxxddoooolllooddoooooooooooooodddooodddddxxkkkxddddxxxdddddooooollccllloddddddoolccccccccccclcc:ccccccc::::;;::::::::;;;;;;;;;;::::::;;;,,;;;;;;;;:::;;,,,;;;;,,;:::;,,,,,,,;::::;,,,;;,,;;;;,,;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;,,,,,