⠀⠀ .... ⠀⢸⣿⣿⣷⣄⠀⠀⠀⠀⠀⢀⣀⣤⣤⣄⣀
⠀⠀⠀⠀⠀⠀⠸⣿⡇⠙⢿⣷⣄⠀⣠⣾⡿⠛⠋⠉⠛⠻⢿⣶⡀
⠀⠀⠀⠀⠀⢀⣾⡿⠃⠀⠀⠙⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇
⣶⣶⣶⣶⣾⡿⠁⠀⠀⠀⠘⠃⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿
⠀⠙⢿⣷⣄⠀⠀⠀⠀⠐⠂⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿
⠀⠀⠀⠙⢿⣦⡀⠘⠃⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏
⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠙⠟⠀⠀⠀⠀⠀⢀⣶⡿⠋
⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⢀⣴⡿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⡀⠀⢀⣴⡿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣶⣿⠏

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣷⣦
⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣀⡀⠀⢀⣴⣇
⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣴⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣄
⠀⠀⣾⣿⣿⣿⣿⣿⣶⣿⣯⣭⣬⣉⣽⣿⣿⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀
⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄
⢸⣿⣿⣿⣿⠟⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⣿⣿⣿⣿⡿⠛⠉⠉⠉⠉⠁
⠘⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠃

                       ⣠⢤⣀
   ⢰⠋⠉⠒⢄  ⣠⠤⠔⢒⠎    ⠈⠳⣤⢤⡀
 ⢀⡏      ⠔⠉            ⢄    ⠘⢦⠈⠑⢤⡀  ⢀⣤⣤⡀
 ⢸⢠⢆                    ⠈⡆    ⢈⠆    ⠙⢔⠋⢀⡼⠃
 ⠸⢨⠊                    ⠈⠃              ⠈⢯⠁
 ⡰⠁                                          ⠈⡆
⣰⠁⢀⣀                                          ⣷
⡇⣂⢸⣿⠂⠠⣀⡠  ⢰⣿⣷  ⣀                      ⡏
⢳⡀                ⠉⠁⠐⠄                  ⢀⡜⠁
 ⠙⢤⡀                                  ⣀⡴⠋
     ⠉⠉⠒⠒⠦⠤⠤⣤⣤⣤⣤⣤⠤⠤⠶⠒⠚⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠓⢄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⢹⠀⠀⠱⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⢸⠀⠀⠀⠘⠄
⣤⣤⡤⢤⣀⣀⠀⠀⠀⠀⢀⠃⠀⠈⠒⠢⢤⡀⡁⠀⠀⠀⠀⢀🍓⣤⠤⢄⣀
⡏⠉⠒⠒⠤⡀⠉⠙⠊⠁⠀⠀⠀⠀⠀⠀⠀⠈⢺⠀⠀⠀⣠⠞⢛⠛⠋⡈⡀⠌⢣
⠸⡀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⢀⡖⠛⠲⠀⠀⠱⠀⠀⡎⠄⡁⠄⡁⠄⡀⠄⡁⠸⡀
⠀⠱⡀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠨⠀⢘⠡⡀⠄⡀⠄⡀⠄⡀⠨⡎
⠀⠀⠈⠺⡇⠀⢀⡞⠉⠉⠂⠀⠀⠀⢀⠀⠀⠀⢀⣹⡉⡩⢢⡀⠄⡀⠄⡀⠄⣠⠏⡅
⠀⠀⠀⠀⢇⠀⠈⠃⠀⠀⠀⣀⠜⠓⢻⠀⠀⠀⡰⠗⠉⠀⢀⡍⢦⣄⣤⣴⠟⠋⠀⡸
⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠑⠤⠜⠀⠀⠊⠀⠀⢀⠞⠉⠀⠀⠈⢣⣀⣠⠤⠚⠁
⠀⠀⠀⠀⠀⡳⠧⡥⢦⣆⡀⠀⠀⠀⠀⠀⠀⠀⠠⠊
⠀⠀⠀⢀⠞⠀⡞⠀⡎
⠀⠀⢠⠃⢀⠎⠀⢸

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⢶⣦⡀
⠀⠀⠀⣴⡿⠟⠷⠆⣠⠋⠀⠀⠀⢸⣿
⠀⠀⠀⣿⡄⠀⠀⠀⠈⠀⠀⠀⠀⣾⡿
⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⢀⣾⣿
⠀⠀⠀⠀⠈⠻⣿⣷⣦⣀⣠⣾⡿
⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⡿⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⢠⠏⡆⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣀⡀
⠀⠀⠀⠀⠀⡟⢦⡀⠇⠀⠀⣀⠞⠀⠀⠘⡀⢀⡠⠚⣉⠤⠂⠀⠀⠀⠈⠙⢦⡀
⠀⠀⠀⠀⠀⡇⠀⠉⠒⠊⠁⠀⠀⠀⠀⠀⠘⢧⠔⣉⠤⠒⠒⠉⠉⠀⠀⠀⠀⠹⣆
⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⣤⠶⠶⢶⡄⠀⠀⠀⠀⢹⡆
⠀⣀⠤⠒⠒⢺⠒⠀⠀⠀⠀⠀⠀⠀⠀⠤⠊⠀⢸⠀⡿⠀⡀⠀⣀⡟⠀⠀⠀⠀⢸⡇
⠈⠀⠀⣠⠴⠚⢯⡀⠐⠒⠚⠉⠀⢶⠂⠀⣀⠜⠀⢿⡀⠉⠚⠉⠀⠀⠀⠀⣠⠟
⠀⠠⠊⠀⠀⠀⠀⠙⠂⣴⠒⠒⣲⢔⠉⠉⣹⣞⣉⣈⠿⢦⣀⣀⣀⣠⡴⠟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠉⠉⠉