▄▄▄▄▄ ▄▄  ▄▄▄   ▄▄▄▄▄▄        ░░   ░░░░▒▒▒▒░░░  ░░░    ░░▒▒▒▓▓▓████████████▓▓▓ █████░▓█████░▓▓███████▐████▀▀▀ ▀▀▀   ▀▀     ░░░░   ░░░▒▒▒▒░░░░  ░░░░░  ░░░░  ░░░▒▒▒▒░░░ ▄ ▄▄▄    
  ▄▀          ▄▄ ▄▄ ▄▄  ▄▄▄▄▄▄▄▄▄                                  ▄ ▄  ▄▄▄   ▄▄▄  ▄▄▄▄                        ░░░ ▒▒▒ ░░░                                                      ▀▄  
  ▓       ░░  ▀▀ ▀▀ ▀▀  ░       ▓    ░░ ▄     ░     ▀  ▀           ▄ ▄    ▓  ░▒▓█  █ ▄    ▀ ▀ ▀▀      ▀▀▀ ▀▀▀                                       ░░           ▀ ▀  █▓ ░▓▓ ▒▒  ▓  
  ▒  █▀▀█               ░  ▄ ▄▄ ▒ ░░ ▓▓ ▀     ▓ ▒▒▒ ▓  ▄▄   ░ ▀                                      ░▀▀▀▀█  ▄ ▀█ ▀█ ▒▒ ▓▀▀ ▀    ▀▀▀▀▀▀▀▀    ███░   ▒▒  ▀ ▀▀     █ ▀             ▒  
  ░  █▄▄▓ ▒▒ ▐ ▐░▐ ▐    ▒  ▄ ▄▄ ░ ▒▒          █▄▄  ▄▓  ▄▄ ▄ ▀ █    ░ ░  ▄▄ ▄▄ ▄▄ ▄▄ ▄▄  ▄  ▓▀▀▀▀▀▓   ▀    ▀                      ░ ▓▓▓▓ ░ ▀         ░░  ▄        ▄ █  ▀▀▀ ▀▀▀    ░  
                        ▓  ▀ ▀▀                                    ▒ ▒                     ░ ▀ ▀ ░   ▄▄▄▓▓▓  ▄▒  ▄▄▄ ▄▄▄▄▄ ▄▄    ▓▄▄▄▄▄▄▓ ▀         ▀▀  ▀                 ▒▒ ▄▄     
  ░░ ▄▄▄  ▓▓ █▄▄▄▄▄ ▄▄ ▄▄  ▄▄▄▄ ▄▄▄ ▄▄▄ ▄▄▄  ▄▄▄▄ ▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄ ▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄ ▄▄▄▄ ▄▄▄▄ ▄ ▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄ ▄ ▄▄▄▄▄▄▄▄▄▄▄▄▄ ▄ ▄▄ ▄▄▄▄  ▄▄▄▄ ▄▄  ▄ ▄    ▀▀  ░  
     ▀▀▀               ■ ■  ■  ■ ■ ■        ▀▀▀▀▀ ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ ▀▀▀▀ ▀▀▀▀ ▀ ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀   ▀▀▀▀▀▀▀▀▀▀ ▀▀ ▀▀▀▀ ▀▀▀▀  ▀▀▀▀ ▀▀      █▄ ▄▄  ░  
     ▀▀    ░░░░ ░░░ ▒▒▒ ░░ ░░         ░░ ░░ ▄▄▄           ░░▓▓█▓▓▓█▓▓▓█▓▓▓▓▓█▓█▓░░▓██░▐░▐░▐▒▒░▐▒▐▓▒░░▒▓███░▌   ▄  ▌   ▌    ▌  ▌   ▄   ▐ ▌▐▓▓█▒▒▓█ █▓█ ▄ ▄  ▄▄▄▄▄ ▄▄▄▄▄▄   ▄▄ ▀▀  ░  
                                              ▄▄▀▀ ▄                                                                                                                      ▄▄ ▄▄  ░  
     ░░░  ▒▒▒ ▒▒▒ ▒▒ ▒▒ ▒▒ ▒▒ ▒▒▒▒ ▄▄ ▄▄ ▄▄     ▀▀▄▄▀▄  ▄▄  ▄▄   ▄                                                            ▀▀ ▄▄ ▀█▀▀▀█  ░ ░░ ▀▀█▀▀▀▀▀▀█▀ ▐ ▓▌  ▀▀ ▀   ▄▄ ▀▀  ░  
  ▄▄ ▄▄▄  ▀▄▄ ▀▄▄ ▄▀ ▄▀ ▄▀ ▄▄ ▄▀█▀ ▀▀ ▀▀ ▀▀▄▄▀▄▄    ▓ ▓ ▀▀  ▀▀░░                 ░░              ░░    ░█▄   █▓▓   ░▓▓▐██▒█░  ▄▄ ▀▀       ▄▄▄▄ ▄▄ ▄▄▄ ▄ ▄ ▄▄▄▄▄ ░█▄█▄   ▀▀          
                                             ▀█▄▀▄   ░ ░          ▀▒                     ▄▄                                      ▒▒                                        ▀▀ ▀▀    
      ░░  ██▓▓█ ▀ ▀▀ ▀ ▄▀▀▀▐▀ ▀▀▓▐▄▌▄▄▀▄  ██    ▀▄▓    ▄▄     ▄▄                 ██     ▐░░▌     ██                          ▄▄ ▄ ▄▄              ▄▄▄ ▄▄ ▄▄▄▄ ▄▄ ▄▄ ▄ ▀ ▀           
  ░                  ▄▀▄▀             ▀▄▀▄        ▄▄  █▀░█    ▀▀  ▓▓          ░  ░░     ▐██▌     ░░              ■       ▄   ▀▀ ▀ ▀▀ ░▓▓▓▓░     ▄▀▀                   ▀ ▀    ▒▒█    
  ▒                ▄▀▄▀   ▄▓ ▄▌▐▄ ▄█ ░  ▀▓█  ▀ ▀  █▄   ▀▀ ▄░                     ▓▓     ▐░░▌     ▓▓           ▄▀       █▄ ▀   ▄▄  ▄ ▄▄▄▄▄▄ ▄ ▄  ▀    ▄▄▄▀ ▄▄▀ ▄▀▀ ▀▀▀ ▀▀▒ ▄▄▄       
  ▓ ░  ██ █▐▓▓ █▓ ▓▄▀                     ▄█ ▀ ▀  ▄▄     ▀▀  ▄     ░░ ▄█▄     00 ▀█▄    ▐▓▓▌    ▄██        ▄▓▀      ▄░▄ ▀     ▀▀  ▀ ▀▀▀▀▀▀ ▄ ▄ ░░  ▄▄▄▀▓▓░▓▓▓ ▒▒▒ ▒▒▒ ▓▓▓ ▄▄▓▓ ▓▓▄  
  █ ▒                    ▀▀▀▀▀▀ ▀▀▀▀ ▀▀ ▀  ▄█     ▀▀▄       █░▄▄       ▀██      ■ ▀▀▄▄  ▐▀▀▌  ▄▄▀▀ ■     ▄▄▀      ▄▄▓▒▀                           ▄▄▀▒▒   ░░░ ░░░ ░░░ ░░░ ▒▒▒▀ ▓▓▓  
  █ ▓  ▀▀  ▄▓▄ ▀▄ ▄  ░░░▒▒▒▓▓▓▓█▄▄█▄▄█▄▄▄▄  ▄█     ▀▀▄       ▀▀█▄▄░     ▐▄  ░ 00  ▀▄▀▀▄▄▐██▌▄▄▀▀▄▀     ▄▓▀      ▄▄█▀▀               ▄▄ ▄▄ ▄▄ ▄   ▄▄▀█                         ░░░░  
  █ █  ██   ▀█▄  ▀▄▀▄                        ▄▓     ▀▀   ▄▀▄   ▀▀▀ ▄    ▐▓  ▒ 110   ▀░▀█▐██▌█▀░▀       ▀▀     ▄▄█▀▀       ▄▄▄      ▄▄ ▄▄ ▄ ▄    ▄▄▀█     ░░      ■   ░░ ▄▄          
  ▓ ▓  ▄▄ ▀▄  ▀█   ░ ░ ░ ░  ░ ░ ░   ▄ ▓▓ ▄▄▄  ▄█       ▄▀▄▄ ▀▄    ▀▄▄▄  ▐▒  ▒ 1101  ▄   ▐▄▄▌   ▄░      ▀▀    █▓▓▀     ▄ ▄▄▀▀                   ▄▄▀█   ■  ▒▒      ▀   ▒▒ ▄▄   ██▓    
  ▒ ▒  ▀▀      ▓   ▓ ▓ ▓ ▓  ▀▄ ▄▄ ▄ ▄▄▄▄▄▄     ▄█     ▀▄ ▀▀▄█▀▀     ▀█▒░▐▒  ▓ 0001  ▀▄▄ ▐▀▀▌ ▄▄▀       ▀▀    ▓░░     ░█▄▄▀      ▄▄  ▀▀ ▀▀ ▀  ▄▄▀▀█       ▓▓    ▒     ░░ ▄▄   ███    
  ▓ ░   ▀▄     ▓   ▒ ░ ░ █                       ▄░▄    ▀▄█▀▀▄▄   ▄▄▀▀  ▐▓  ▓ 1101   ▀▀▄████▄▀▀        ▓▓    ░▓▓    ▄ ▀▀▒▀    ▄▄▓░▀        ▄▄▀▀▀▄     ▀  ▓▓    ▀▀▀                  
  ▓ █      ▀▀  ▄   ▓   ▀▄ ▀ ▀▀ ▀▀ ▀     ░░▄      ▀▀█▄▄    ▀ ▀░▓▄▄▀▀▀    ▐█  ░▄ 011     ▀▐▄▄▌▀          ▄█     ░░  ▄▄▀▀      ▄▄█▀▀        ▄▄▀▀▀▄▀░  ▄▄ ▀  ░▓  ░▓░░ ▓░ ▒▒ ▄▄ ▄▄ ▄▄ ▄  
  ▀▄ ▀▀▀ ▀▀ ▀  █   █  ▀▄▄▀            ░▄ ▀▄▓▄      ▀▀▀▄▄      ▀▀█▄▄     ▄▄   ▀▀▄ 1  ░████████▐█░░    ▄▀ ▀    ▄  ▄▄▀▀      ▄▄█▀▀       ░ ▀▄▀▀▄▀▄░   ▀▀  ▄▀▄     ▄▄▀   ▒▒ ▀▀ ▀▀       
    ▀▀▀▀ ▀▀    ▄   ▄      █▓▓▐█        ▀▄▄ ▀▄▀▄      ▒▀▄░▄  ▄▄█ ▀▀█▄▄ ▄ ▀▀ ▄   ▀▓▄      ▐▄▄▌       ▄▀▀     ▀▀█▄▄ ▀ ░▒▓░▐░▓█▀▀  ▄█ ▀▀  ▓▀▄ ▀▄▓█░    ▄▄ █▄▀    ▄▄▀        ░░  ▄▄▄▄    
     ▄▄▄▄ ▄▄▄ ▄▄   ▀      ▄▄▄ ▄▄  ▀▀ ▀▀  ▀▄▄ ▀▄▀▄      ▀▀▓▄▄▀▀    ▀▀▄▄▀▀▄   ▀▄  ▄▄  ▀▄  ▐▀▀▌  ▄▀  ▓▓    ░▓▄▄▄▀▀█▄▄           ▄█▀   ▄█▄ ▀▄░▄ ▀      ▀▀▀     ▄▄▀   ▄▄ ▄▄ ▄    ▓  ▓  ░ 
 █▄▄ █▓▓▓ ▓▓▓▐▓▓▓▐▄▄ ▄    ▀▀▀▀▀▀  ▀▀ ▀▀ ░░ ▀▄▄ ▀▄▀▄      ▀▀▀      ▄▄▀▀▄▄▀▀▄   ▀▄▄▄   █░ ▐██▌ ░▓           ▀▀█▄▄▀▀▒▓  ▄▄▄▄▄▄▒▒▀ ▄▀ ▄▄▀░▀▄ ▀▓▒ ░░░         ▄▄▀  ▄▀▄▀          ▀▀▀▀  ░ 
 ▀▀▀             ▀▀░▒▓▀▄                     ▀ ▄ ▀▀▄▀▄          ■  ▀▄▄▀▀▄▄▀▀    ▒▒   █░ ▐▄▄▌  ▀   ▓▓  ░▓▄▄▄▄▀▀▒░▄ ░░        ▄▄  ▄▄▄▀▒▄▀▄▓░  ▄▄▄ ▄ ██ ▄ ▄▓▀  ▄▀█▀ ▄▀  ▄▄ ▄█  ░░░░    
       ▀▀  ▀         ░▓▀▀▄    ▀  ▀▀   ▄▄ ▄     ▀▄    ▀▀▄   ░░     ▀▄ ▀▄▄▀▀▄░▄     ▄▄▀█   ▒▒   ▄▀▄▄       ▀▀▒▒ ▀░░░  ░▒▓▄▄█▀▄▀▀   ▀▀▀ ▀▀                   ▄█▄▀ ▄█▀   ▄▄   ░       ░ 
    ▄▄ ▄▄ ▄ ▄▄ ▄▄ ▄▄ ▄▄ ▄▄ ▄▄      ▄█ ▀▀   ▄▄▄▄▄  ▄▄   ▀▀▄   ▒▒▄    ▀▄ ▀  ▀▀█▄▄  ░▄▀▀   ▄▄▄▄   ▀▀▄░  ▄▄█▀▀ ░░░                ▄▀                        ▄▀▄▀ ▄█▀     ▀▀   ▓ ▓▓█░  ░ 
  ░░██ ██ █ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▄▄ ▄    ░░ ▄ █░█░░█  ▀▄▄   ▀█   ▀▓▀▄    ▀     ▀▀▓░░  ▄▄▄▄▌███▒▐▄▄▄▄  ▄▄█▀▀       ▄▀▀▀▀ ▓▓ ▀▀▀▀▀    ░▒▓██▓▓▒▒░ ▀ ▀ ▄░ ▄ ▄▄▀▄▀ ▄█▀     ▄▓░    ▒ ▒▓▓░    
    ██ ██ ▒ ░░ ░░ ░░ ░░ ░░ ░░ ░░   ▀░ ▄▄      ▒▒░░   ▀▀▄▄  ▀█░  ▀▄▀▄    ▀ ▄▓▄ ▀▀▄▄▄ ▀▒▒▌▀▀▀▀▐▀▀░ ▄▄▄ ▀ ▄▀▄    ▀  ▄▄▄▄ ▄▄ ▄   ▄▄░▄  ▓██      ▀ ▀ ▀▀       ▄█▀     ▄█▀    ▄ ▀▄ ▄▄ ▄   
                    ░░                ▀▀ ▀    ▓▓▒░    ▀▀ ▄▄ ▄▄▄   ▀▄█▐▓░ ▀▄▄▀  ▀▀███            █▓▒░▀  ▀▄▄█  ██▄█▀          ▀▀█▀   ▒██           ▄▄▄▄▄▄▄▄▀   ▄▄ ▀▀    ▄█▀           
   ░░▒▒▓▓██▀▀▀ ▀▀     ▄▀▄           ▄ ▄▄▄▐█░▒▓██▒░   ▄  ▀▀▀░░▀▀▀  ▄     █  █  ▄▄▄▀▀      ▄▄▄     ▀▀▄▄▄  ▒  █      ▄       ▄        ░███▌██▓▓▒░█ ▄           ▀▀▀▀    ▄█▀ ▄▀░ ░▌ ▓█░  
          ▄ ▄▄▄▄▄▄     ▀▄▀▄▄ ▄▄ ▄ ■ ▀ ▀▀▀ ▀▀▀▀██▓░  ▀▀▄▄   ▒▒   ▄▄▀▀    █▄▄▄ ░░█▀    ▄▄░▐▄██▌▄▄    ▀▀▓░ ▄▄▄█  ▀  ▀▀▄▄   ▄▄▀▀        ██         ▀▀ ▄▄ ▄ ▄▄ ▄░                        
          ▀ ▀▀▀▀▀▀▄▄      ▀▀ ▀▀           ▄▄▄▄███░▄▄▄▄█▀▄▄▄▓▓▄▄▄█▀▄▄▄ ▄▄ ▄ ▄▄▄▄▄    ▐▓▓▒█▓▓▓▌▓▓█    ▄▄▄▄▄ ▄ ▄▄ ▄▄▄▄▀▀▄▄▄▀▀▄▄▄▄▄ ▄ ▄▄██▄▄▄▄▄ ▄▄ ▄               ▄ ▀▄ ▀▄ ▀▄ ▀▄ ▀▄ ▀▄  
                   ▀▀▄           ▄ ▄▓ ▄▄░ █░▒▓███████████████████▐▓░█░█░ ▒ █████    █░░▓█░░░█░░▌▌   ▐████ ▀ ░▀░▀▒▐▀████████▌█▐░ ▀▀▐▀██▀▀▀▀█ ▀▀█▐█ ▄▄       ▄░ ▓▄ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓ ▓▓  
  ▄▄▄ █▀▀ ▀▄▀▄ ▄     ▀▀▀▀ ▀▀ ▄▄ ▄▄  ▀ ▀▀▀     ██▓░    ▄▄▀▀ ▓▓ ▀▀▄▄           ▄▄▄    ▐▓▓▌▓▓▓▓▌▓▓▓    ▄▄▄           ▄▄▀▀▀▀▄▄          ██            ▀▀ ▀▄ ▀▄ ▄░ ░░ ░░ ░░ ░░ ░░ ░░ ░░  
 ░▓▓▄ ███ ▓▓▓▌█▀▓ ▄                 ▄ ▄▄▄▄ ▄▄▄██▒░  ▄▄▀▀   ▒▒   ▀▀▄▄    ░▀▀  ▐▀█▓░   ░░ ▒▒▒▒ ░░   ░▓▄▀▌  ▀▀░    ▄▄▀▀    ▀▀▄▄        ██▄▄▄▄▄▄▄▄▄   ░░ ░░ ░░                          
 ░▀▀      ░░  ▓▓ █▀▄▀    ░░ ▄▄▄▄ ▄ ▀▓ ▀▀▀▀▀▀▀▀██▒░   ▀  ▄▄▄░░█▄▄  ▀      ▓ ▀▒  ▄▄▄▄     ░░░░     ▄▄▒▄▀ ▄▀ ▒  ▀ ▀ ▀        ▀  ▄     ░██▀▀▀▀▀▀▀▀▀ █              ▄▄ ▄▄ ▄▄▄▄ ▄▄        
              ░░  █▄▀▄█▒                      ██░░     ■                  ▀▄▀ ▄▄▀▀▒▀            ▀▀▀▀▄░ ▀█▀ ░░▄▄ ▄▄ ▄▄ ▄     ▀  ▄   ▒▓▓                       ▄▄▀▀ ▀▀ ▀▀▀▀           
          ▄ ▄▄     ░▓▀▀▄■▄   ▄▄ ▄▄  ▄ ▄▄▄ ▄▄▄▄██░░  ▄                       ▄▄▓░░  ░▓▄▄ ▄▄▄█ ▄█▓░  ▀░▓▄▄     ▀▀ ▀▀ ▀▀ ▀▀▄     ▀▄▀▄ ▓▒▒      ▄ ▄ ▄▄         ▄▄▀     ▄▄ ▀▄▄░░▀ ▓▄▄ ▀▄ 
   █▀▀      ▀▀ ▀     ░▒▓▀█▄░       ▀▓ ▄▄▄▐░▒▒▓▓██  ▀   ▄▀ ░▐ ░░ ▓▐▄░░   ▄  ▄█▀▀     ▀▀▀ ▀▀▀▀ ▀▀▀     ▀▀█▄▄ ▄    ░░▀     ▀▀▄     ▀▄▐█░░▒▒▒░█ ▄ ▄ █▌ ▀ ▀▀▀ ▀▀▀   ▄▄▄ ▀▀▒ ▄    ▀ █▒▒▒█ 
   █▄▄ ▄█ ▄█▐▓▌▐▄ ▓▀   █▓░▀▄▄ ▀█▐▄▄▄  ▀▀▀       ▄▀   ▄ ▀▀           ▄▀▄▀▄█▄▄▀ ▄▀   ░            ░░ ▄█  ▀▀▄▄▀▀▄▄     ▀▀▄   ▀▓                                ▄▄▄▀▄▒▒ ▓▓▓ ▓▓▓▓▓ ▐▓▓▓▓ 
                        ▄▄█▄▀▄               ▄▀▀   ▄ ▄▀     ▄▀   ▄ ▀▀▄█▄▄▀▀░░▄  ▄▄ ▓  ░  ░░   ░ ▒▒ ▀   ▄░▀▀▄▄█▀▀      ▀█▄   ▄▀▀  ▀▀ ▀▀▄         ░░▀▀ ▀▀▀  ▄▄▄▀░▒ ▓▓▓ ▒▒ ░░░░░  ░░░░ 
   ▄▀▀▀▀  ▓▐▓▄ ▐▌▐▄▓ ▄   ▀▀▄█▀▀   ▄ ██ ▄▄▄▄▄▀▀    ▀▄▀     ■   ▄█▀▄▀▄▄▄▀▀█▄▄▀█▓  ▀▀ ▀  ▒ ▐▓▓▌  ▒ ▄▄      ▀▄░▓▀▀▄▄▄▄      ▀▀▄   ▀▀▄     ▀▀     ░░░▄▄ ▄▄   ▄▄▄▀░▒ ▓▓ ░░                
   ▓              ░░ ░░   ▀▀ ▄▀▀    ▀▀         ▄▄▀                ▀▄▀█▀▄▀▒▒▓░░ ■   ▄▄ ▒ ▐██▌  ▓▄    ░   ▄ ▀▀▄░▓▀▀ ▄▄   ▄▄  ▄█▄  ▀▀▄     ▀▀▄           ▄░▀▄░▒ ▓▓░        ▀▀▓▓▀ ▀▓▓▀  
   ░                       ░▓▀ ▄▄▄▀▄  ▄▄ ▄▄▄ ▄▄▀       ▄▄█████░▐░▓▄▄▀▒░░▒ ░░░  ▄   ▄▄ ░ ▐██▌  ▀▄▀▄  ▒  ▀▓▀▄ ▀▒▀ ▄▄▀▀  ▀▀█▄▄ ▀░▀▄  ▀▓ ▄▀▄  ▀▀ ▀▀ ▀▀   ▄■░▒ ▓▓▒      ▓▓ ▒▒            
     ▄▄▄  ▄ ▄▄▄ ▄ ▀▀ ▄ ▄▄    ░▓▓▀▄▄▄▀▄               ▄▄▀▀      ▄▄███▄ ▀░░░     ▄   ▀▀   ▐██▌  ▄  ▓  ▓    ▀▄▀▄  ▒▒▀ ▄▄   ▀▀█▄▄ ▀■▄▄ ▄▀▄▀▄            ░ ▄▀▓▓       ░ ▄▄ ▄▄ ░░▄▄  ▄    
   ▀ █▄    ▐▌▀▀ ▀ ▄▄ ▄ ▓▓▀▄     ░░░▄▄▄▀▄▄ ▄▄▄ ▄ ▄▄ ▄▄█▀      ▄▄█▀▀ ▓▒▒    ░░   ▄   ▓█ ░ █▄▄   ▄  ▒  ▓   ▄  ▀▓▀    ▀▀█▄▄   ▀▀█▄▄ ▀   ▀ ▀  ░▒▓ ▀▀   ▄▀▄▀▒▒      ░█ ▒ ▀▀ ▀▀            
          ▀  ▀▀ ▀ ▄▄    ▀▄■▀▄      ░▀ ▓▀ ▄▌▀▄ ▄▐▄░▄ ▀    ▄▄▄▄▀▀█   ▒▄▄    ▓▓   ░ ▄▓▄ ░  ▐██▌  ▀  ░  ▀▄▄        ▄▄   ▀▀█▄▄   ▀▀█▄▄      ▓▓░░░░    ▄▀░▓█        ▒▓ ▓ ▄ ▄ ▄ ▄ ▄▄ ▄ ▄   
                  ░░      ▀▄ ▀▄      ░░ ▓▓▌▒▒ ▒▐▒░▒    ▄  ▀▀▓░▄    ░▀▀  ▄█▀    ▄▓▄▀  █   ██   █  ▄▄   ▀▓ ▄ ■  ▀▀█▄▄   ▀▀█▄▄   ▀░░▀      ▄       ██▒▓▄         ▒▄ ▀▄                 
   ▀█▒▒   █ ▄▐▄▄▐█▓▒    ▀▄  ▀▄■▀▄       ░░ ░░ ░ ░ ░   ▀▀▄▄  ▀▓▓    ▐██  ▓▓    ▀█▀    ▀  ▐▄▄▌  ▀   ▀▄▄  ▄▄▀▄     ▀█▄▄▄   ▀▀█▄▄                 ▓▀▄▓▄        ░  ▒▓  ▀▓ ▓▓ ██ ██ ▒▒ ░  
   ▀▀▀▀                  ▀▄▄  ▀▄░▓▄               ░▓▄ ■▄▀░▓░ ░░   ▄▓▓█  ██       ▄   ▄  ▐██▌  ▄  ▄       ▀▄▀▄     ▀▀▀█▄   ▀▀▀▀  ░░       ▄▄▄▀▀▄▀▀▀         ▓  ▒▒  ░                 
          ▄▄ ▄▄▄▄▄  ▄▄▄    ▀▄▄  ▀▓▓▓░  ░░ ░░    ░██▄▀▀▄ ▀ ░░    ▄█░░▀   ▄▄   ▄▄▓▓███▐█▌▄▐██▌▄▐██░▐███▄▄    ▀▄▓  ░   ▀▀█▄▄     ░▀▀▓▓▄▀▄▄▄▄▄▀▄█ ▀▀          █░  ▓░  ▓  ▀  ░░ ░░ ░     
   █▓ █▓               ▀▄    ▀▄▄  ▀▒▒░ ██ ██  ▄▄ ▀▄▄█▄▀▓░     ▄▄ ▀▀     ██  █░░▀▀▀▀▀▀▀ ▀▐██▌▀ ▀▀▀▀▀▀▀▀▒▒ ▄▄  ▀░ ▒     ▀░░▀         ▀▀ ▀▀▀▀          ▄ ▄▄ ▄█  ▄▄▀ ▄▓  ▄▄ ▄▄ ▄▄ ▄  ░  
          ▀▀▀▀  ▀▀ ░░    ▀▄    ▀▄▄          ▄▄▀▄▄▄ ▀▓▒░     ▄▓▀▀   ▀▄   ██  ▄▄▄         ▐▄▄▌   010   ▄▄▄  ▀▄▄   ▓   ░░     ▄  ▀                   ▄▄ ▄▄▄  ▄▄ ▀ ▄▄▀   ▀▀          ▒  
                            ■    ▀▓▓▒░  ▄▄▀▄ ▀▀ ▓▓░       ▄▄▀  ░    █   ██  ▄▄▄         ▐██▌   010   ▄▄▄    ░   ▓   ▒▒    ▀▄▀▄  ▀▄   ░       ░    ▀▀ ▀▀▀  ▀▀  ▄▀  ░░ ▄▄ ▓█ ▀█ ▀█ ▓  
  ▄▄ ▄▀▄▄  ▄▄▌▐▄  ▄░█  ▀▄            ▄▄▄ ▀▓▀▀▓ ░░       ▄▄▀    ▓    █   ██ ░█████░    █░▒▓██▓░ 00 ░█░████   ▓   ▒   ▓▓  ■▄  ▀▄▀▄  ▀  ▓         ▄▄▄▄ ▄▄▄▄▄█▀▀         ▀▀          █  
 ▒▒▄ ▓▓▓▓ ▓▓▓▌▐▓▓ ▓▓▓ ▓███ ▀▄▄ ▄▄ ▀▓▓ ▓▀▀▓ ▒░░░       ▄▓▀      ▀    ▄   ▄▄               ▀▀    01           █   ░   ▓▓     ░  ▀▀▄▄   ▓    ░                          ▀█ ▄▄ ▄▄ ▄ ▀   
 ██▀ ░░░░ ░░░ ░░░ ░░░ ▒▒▒░ ▓▓▓ ▓▄▓ ▄▄▓ ░░░░       ░░      ██▐▓▌▐█  ██  ▀▀  █▓██▐▌     ░▒▓███▓░ 1  ░▐░▐███   ▀▄  ▀▄▄ ▀▄▄    ▓    ▀▀▀▄ ▄    ▒  ░  ██ ██ ░░   █▄▄▄ ▄                   
                       ░░  ░░░ ▒▒▒▒ ░░░    ░░░    ▄▄ ██     ▄▄     ▀▀  ██   ▄▄▄                      ▄▄▄      ▀▄  ▀▄▄ ▀▄▄  ▀▓▄  ▄ ▀  ▄    ▓  ▒                       ▒ ░░  ▀▀░░░░   
     ░░░  █▐▓▓ █▓ ▓▀▄           ░░░        ▒▒░    ▀▀      ▄▄▄▀     ▄█  ██   ▀▌░   ░█▓▓░ ▐▐ ▌  █▌█░    ░░    ▄   ▀▄  ▀▄▄ ▀▄▄   ▄▄ ▀▄   ▀▄  █  ▓  █▄ ▒▒ ░░   ▄  ▓                     
                   ▀▄▀▄                   ▄▓▓     ▀▀  ▀▀ █▄▀  ▄█▀▄█▀   ██    ▄           ▄▄           ▄     █▀        ▀▓  ▀▄▄  ▀▄▄ ▀▄     █  █        ▄    █  ░   █▀▒ ▀█ ▀█ ▓█ ▒ ░  
    ▀ ▀▀ ▀           ▀▄▀▄               ▄▀▄▀      ▀▀  ▀▀    ▄█▀▄█▀    ▄▀▄         ░░▐▀   ▀▀   ▓▓▐█          ▄█     ▄▄  ▒   █░    ▀▄▄ ▀▄   ▓  ▒  ■     ▄  ▀ ▀  ░                     
          ██▓▓█ ▄ ▄▄ ▄ ▀▄▄▄▐▄ ▄▄▓ █ ▄ ▄▀▄▀      ▄▀▓   ▀▀ ▄▄█▀▄█▀    ▄▀▄▀     █      ▄▄  ▐▀ ▌  ▄▄      █     ▓▓     ▀▀  ░   █▓      ▀      ▀▄ ▀▄ ▄  ■ ▐█  █ █▌ █   ░░ ▒▒ ▓▓ ▀█▀▓ ▀   
                       ▄ ▄░░▄  ▄ ▄ ▄  ░░ ░░  ▄▀▀▄▀    ▀▀  ▀▄█▀    ▄▀▄▀       ▄▄     █▓   ▀▀   ▒▒            ▄▄              ▀▀▀▀ ▀ ▒▒        ▄▄▄▄▄ ▄▄ ▄ ▄ ▄ ▄ ▄ ▄▄     ▄        ░   
 ░▄▀▀ ▄▀▀ ▄▀▀ ▀█ ▄▄▄▄▄ ▄▄▄ ▄▄ ▄ ▄      ▀    ▀▄▀▀   ■ ░░   ░██     ▀▀      ░  █▄     ▄▄  ▐▀ ▌  ▄▄     ■ ▓    ▄▄     ▓   ▀▄▄         ▄▄     ▄▄▐▌ ▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄ ▐▌▄▄           ▒ ░ 
 ░███ ▒▒▒ ▒▒▒   ▐ ▄▄▄▄▄▄▄▄▄▄▄▄▄▄ ▐ ▒▒           ▄▀ ▄▄▀  ▄▄▓█▀   ▀▀        ▒         █▓   ▀▀   ▒▒     ▄      ▀▓▓▄   ▀▄▄   ▀▀ ▀▀ ▀ ▀ ▀▀   ▄ ▄▄▐▌██▄████▄▄▓▓██▓████░▐▌▄▄  ▀  ██    ▓ ░ 
                ▐  ▓▌  ▀███▀ ▓██░▐ ▄▄ ▄  ▄▄▄ ▄▄▀ ▄▄▀     ▄▄ ▄▄  ▒▒▒  ▄▄▄  ▒  ▄▄         ▀▀▀▀  ░░     ▄▄  ▄▄▄  ▀██▄▄  ▀▄▄▄▄▄▄ ▄▄▄ ▄ ██     ▀▀▐▌▓▓███ ▀█████▀ ██ █▒▐▌    ▄  ▄▄▄ ▄▄▀   
   ▀▀ ▀▀▀▀▀ ▀ ▀▀▐ █▒▌ █▄ ▀ ▄███░░▐             ▄▄▀      ▀▀                                                                              ▄ ▀█▐▌▓▒███ █▄▀█▀▄█ ██░█▒▐▌░░  ▄            
  ▀▀▀ ▀▀▐▄▌▀▀ ▀▀▐ █░▌    ▄█████▒░▐ ▀▀ ▀▀ ▀▀▀ ▀▀▀       ▄▀▀▀ █▀▀█░█▄ ▄█░█▀▀█░█  █▀▀█▀▀████░█▀▀█     ▀█▄ ▄█░████▀▀█▀▀▄▀▀█░█      ▄▀▀▀▀      ▄▄▐▌▓░███ ██▀▄▀██ ██▒█▒▐▌▄▄     ██ ██ ▒▒  
  ▄▄▄ ▄▄ ▄ ▄▄ ▄▄▐ ██▌  █▀ ▀████▓░▐ ▄▄ ▄▄ ▄▄▄ ▄▄▀  ▀    █▄▄▄ █▄▄█ █ ▀▀█ █▀▀▀ █▄▄▀  █  ▀▄▄▄ █▀▀▄      █ ▀▀█ ▀▄▄▄  █  █▀▀█ ▀▄▄▄ ▄█▀   ▄▀  ░▀ ▀▀▐▌▓ ███ ▀▄███▄▀ ██▒█▒▐▌▀▀     ▄▄▄▄ ▄ ▄  
    ▄   ▄▄  ▄ ▄▄▐ ██▌ ▀ ▄█▄ ▀███░▐ ▄▄            ▄█ █▄          ▄▄▄       ░   ░▄▄▄▄     ▄▄▄▄      ▄▄▄▄       ▄▄ ▄▄▄▄  ▄▄▄ ▄ ▄▄▄  ▀     ▓▄ ▀█▐▌▓░███▄███████▄██▓█▒▐▌▀█ ██ ▀          
              ▄▄▐ ███▄▄█████▄█▀▀░▐ ▄▄ ▀▀ ▀▀▀ ▀  ▀▀            ▄██▀        ░  ▄▄▄▄▄     █▄░░▄█      ▄▄▄█▄             ▐▄▄▓   ▄▄▓█     ▄▓▓  ▄▄▐▌█▄██████▓▓▓█▀█▀▀██░▐▌▄▄ ▄▄ ▄▀▀▀▀ ▀ ▀  
      ▀▀ ▀▀ ▀ ▀▀▐▄ ▀▀▀▀▀▀▀▀▀▀▀▀  █ ▀▀ ▀▄    ▄▄▄▄▄▄▄▄▄▄▄   ▄▄▄▀▀▀           ▄▄▄███     ▀▀▀▀▀▀▀▀      ░██▄▄▄                         ▄▓▓▀ ▀ ▀▀▐▌ ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ ▐▌▀▀ ▀▀   ▄▄   ▀   
   ░░  ▄▀▄ ▀▄ ▄  ▀ ▀ ▀ ▀ ▀ ▀ ▀ ▀▀      ▀    ▀▀▀▀▀▀▀▀▀▀▀ ▀ ▀▀▀▀▀  ▄▄▄▄▄▄  ▄▄▄▄▄▄ ▄  ▄▄▄ ▄▄▄▄▄▄▄▄▄▄▄▄ ▄▄▄▄  ▄▄▄▄▄ ▄                 ▀█▀ ▄█░     ▀▀  ▀▀▀▀ ▀ ▀▀▀ ▀ ▀▀▀        █▓▓█ ▀▀   
        ▀▄█▄ ▀▄▀▄  ▀ ▀  ▀ ▀ ▀ ░░   ░  ██       ▀     ▌▐     ▐  ▌▐▀█▀▀█▀▌▐▓▓   ▌   ▐ ▐▒▒█▓▓▓███▓▓▌█▓ ▄▄▌▐ ▄▄░▓ ▐ ▐ ▓▄▓ ▌▐ ▓▄▄▓ ▌░▄▐   ▓▓▀▓  ░░   ▀ ▐▀ ▐▀▌▐▌ ▀▌ ░░   ██▓█░   ▀▀  ▀▀   
          ▀▀▀  ▀                                                                                                                     ▓▓             ▄▄                              
   ▀█ ▀█ ▓▓ ▄▄ ▄    ▄▄  ▄▄ ▄▄▄  ▄ ▄ ▄ ▄▄▄ ██████████ █▐▌███▓▓▄▄▓▓▒░ ▓▄▄▓▌█░░ ▐▓░▄░▒▓███▐██              ▄▄▄  ▄▄▄▄▄▄▄▄▄▄▄▄ ▄▄▄░░      ░░     ▄▄░   ▄█▀      ▒▒          ▄ ▄ ▄ ▄ ▄ ░  
                    ▀▀  ▀▀ ▀▀░░      ▓▒▒█ ▓▒▒░░░░▒▒▓ █▓▓█▓▒▒▒▓▄▄▄▄▄▄ ▄▄▄▄ ▄▄▄▄▄▄▄▄▄▄ ▄▄ ▄▄▄▄▄▄▄▄ ▄▄▄▄ ▄▄▄  ▄▄▄▄▄▄▄▄▄▄▄▄▄  ▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█▀      ▄▀      ██  ▄▄▀ ▀ ▀ ▀ ▀ ░  
   █▓ ▄▄▄▄  ▄ ▄▄▄▄▄▄▄▀  ▄  █ █  ▄▄▄                                                 ▄▄▄                                                             ▄▄▄▄ ▄▄▄▄▄▄▄▄▄▄▄▄▀              
                        ▄  █ █      ░░    ░ ▄ ▄  ██▐▓▓ ▐▓▐▐  ▓▐▓▒▓░▀▀ ▀▀  ▀      ░ ▓ ▄ ▓          ▀▀ ▀         █▀ ▀▀ ▀ ░░     ▄▄▄   ▄ ▄▀    ▓▄ ▄               ▄▄▄     ▒▒ ▓▄ ▄ ▄    
                                 ██ ██    ▓   ▄▄▄▄ ▄▄▄ ▄▄▄▄ ▄▄▄ ▄▄▄▄▄ ▄▄▄ ▄▄ ▄▄▄▄▀ ░ ▀ ░      ▀▀▀▀▀▀▀▀▀▄         ▓▀█ ▓▀▓  ▀▀  ▄▄█   ▄ ▄▀▀▀▀▀▀▄ ▄  ▀▀▀▀ ▀▀▀ ■   ▓▓▓     ▀▀           
      ▓▓  ▀   █ █▓▄▄    ▀▀▀▀▀▀▄          ▄▀                                                             ▀▀▀▀ ▀▀  ▀▀▀ ▀▀▀  ▀▀          ▄▄▄  ▄▄▄   ░▒▒▒▒▒▒▒░░ ░░         ██ ▒▒ ░░░    
      ▄▄  ▄   ░       ▄▄▄ ░░░  ▀▀▀▀▀▀▀▀▀▀   ░░▒▒███▒░  ▄  ░▒▒▓█▓█▀▀▒▒█▐██▓ ▌▐ ▒▓█▄▓█▐▄█▄▐█▒▒█▓ █▄▓▄▓▄▓█▄▄                  ▀  ▀        ▄ ▄ ▄                                        
                                                                                                         ░░░░   ░░░░                             ▀▀▀    ▀▀▀  ▀▀▀▀  ▀▀▀▀▀▀▀ ▀▀▀▀