⠀⠀⣀⠤⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣦⠤⡀⢠⠋⠑⠀⠀⠀⠀⠀⠀⠀⠀⡄⠉⠁⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠎⠀⠀⠀⠈⠄⠀⠀⠀⠀⢲⣿⣴⣿⣴⠄⢀⣀⠀⠀⣀⠀⢀⡀⠀⠀⠀⢰⠋⢀⠀⠀⢸⠈⡄⢰⠛⠀⠀⠀⢀⡤⣤⣄⠑⠒⠁⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠓⠊⠀⠀⠀⡀⣴⡾⡿⠈⠛⠃⢺⡞⠿⠀⣘⡿⢶⣿⣷⢄⢀⡀⠜⣄⠈⠉⠀⠁⠀⠈⠪⣆⠀⠀⠀⡏⠀⡀⢈⡇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡄⠀⠀⠀⠀⠀⠀⠎⠀⠉⠀⠀⡠⠒⢰⠛⡗⠈⠿⠚⠛⣸⠙⢀⡀⡆⠈⠢⣈⣱⣦⣴⠶⠶⢖⣶⠾⠷⠦⣄⣡⣠⣶⣿⠀⠀⠀⠀⡰⣀⡤⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢱⡆⡄⠀⠀⠀⡜⠈⠀⠁⢢⠐⠁⠀⢠⡞⠁⠀⠀⠀⠀⠘⡄⠀⢠⣥⡖⠋⢡⣾⣿⣶⡄⣼⣿⡏⣶⣤⣤⠀⢸⡟⣿⣿⣷⣶⣶⡟⠋⠀⠀⠛⠈⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠳⣄⢄⠀⠊⠀⠀⠀⠀⠀⠉⢶⡂⢡⣦⢠⣴⠀⣰⣶⣤⣠⡿⠋⢁⣀⣀⡎⣋⣛⣿⡿⠿⣿⣃⢿⣿⢿⣿⣮⠇⣿⠟⣹⣿⣿⣶⣖⠀⠀⠀⠀⢀⠝⠈⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣦⠈⠙⠶⢼⣿⣼⣷⣿⣶⣄⣀⡙⢺⣯⣶⣿⣿⠻⢿⣿⠋⣧⡾⠋⠀⢀⣙⣿⣿⣯⣁⡰⣿⠿⡟⢛⣷⡮⠍⠁⠘⠚⣛⣯⣿⠟⠈⠻⢟⠉⠉⠀⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⢾⣥⠀⠀⠀⠀⢹⢿⠙⢿⡏⠉⠉⠁⠀⠀⠘⢙⠴⠋⢀⣠⣿⣿⠋⠩⠊⠉⠀⢠⡿⡟⢻⣿⣶⣾⣿⠿⢟⡋⡀⡀⡘⣶⣶⣤⡠⣄⣣⡟⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠀⠀⠀⠀⠀⠀⠀⠻⣿⣦⣄⣀⡠⠴⠊⠁⠀⡰⠋⠛⣿⣶⡄⢃⠀⢒⠀⠀⠀⠑⠦⠄⠉⢛⠻⠛⢫⡞⣼⣿⠹⣮⣽⣿⣷⣄⣀⣀⡷⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠋⠿⠁⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢺⣷⣿⡟⠀⠀⠙⣏⠁⠀⠉⠉⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠠⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣦⣽⠋⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠿⠃⢀⠖⠉⠁⡄⡴⠹⣷⡀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣶⣤⣀⠀⠣⡰⠘⣷⣤⠊⠀⠀⠀⠀⢀⣾⣧⣶⣶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡶⢿⣯⡛⠿⠒⠊⠁⠉⠘⣎⠳⣄⣀⣿⣆⡸⣿⣿⣿⣏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠇⠀⠀⠀⠀⠀⠀⢸⡀⠈⢿⣿⣿⡷⠉⠹⠿⠉⡀⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⢙⣽⣿⣦⠀⢀⡀⢿⣿⠧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢿⡆⢠⣿⣯⣮⠁⢠⣮⠟⢾⡧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⡷⢆⠀⠀⠀⠀⣼⢷⢃⠩⠇⠌⣷⠊⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣤⣤⡀⠀⣷⣿⣷⠾⠀⠀⠀⢀⡟⢻⡁⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⢋⣻⣿⡀⠀⠙⣄⠈⣾⠇⠀⣠⠞⠀⢸⡇⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⠛⢻⣽⣆⣴⣿⣿⠗⠒⠭⢁⠀⢀⣿⡇⠀⢠⣿⣿⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⠙⠿⠏⠀⠀⠀⠀⣡⣾⣿⡇⠀⠘⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⣿⠮⠋⠁⠀⠀⠀⡀⠀⠀⠹⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡯⠐⠒⡂⠄⣀⣀⡾⠜⢧⣤⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠘⠤⣤⡄⣠⡀⠘⠟⠇⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠉⠐⢄⠀⣠⢀⡟⠛⠁⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠠⣶⡞⢿⣴⣿⣿⡋⠀⠀⠀⠀⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠀⠸⠿⠄⠈⠀⠀⢀⣤⠞⠁⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣤⣀⣀⣀⡤⠴⠞⠉⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.

 `7MMF'   `7MF' .g8""8q. `7MN.   `7MF'    `7MMF'`7MM"""Yb.      db     
  `MA     ,V .dP'    `YM. MMN.    M        MM    MM    `Yb.   ;MM:    
   VM:   ,V  dM'      `MM M YMb   M        MM    MM     `Mb  ,V^MM.   
    MM.  M'  MM        MM M  `MN. M        MM    MM      MM ,M  `MM   
    `MM A'   MM.      ,MP M   `MM.M        MM    MM     ,MP AbmmmqMA  
     :MM;    `Mb.    ,dP' M     YMM        MM    MM    ,dP'A'     VML 
      VF       `"bmmd"' .JML.    YM      .JMML..JMMmmmdP'.AMA.   .AMMA