⠀⠀⠀⠀⠀⠀⢀⣾⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢧⡀
⠀⠀⠀⠀⠀⢀⣾⠃⢘⣷⣀⣀⣤⣤⣤⣄⣀⢸⡏⠈⢷⡀
⠀⠀⠀⠀⠀⣼⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⣷
⠀⠀⠀⠀⢰⣿⣿⣿⣿⠁⠸⠗⢹⣿⡟⠰⠷⠈⢻⣿⣿⣿⡇
⠀⠀⢐⣒⣺⣿⣿⣿⣿⣀⠀⣀⣼⠛⢷⣄⠀⢀⣼⣿⣿⣿⣿⣉⡁
⠀⠀⠀⠤⢺⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⠢

⠀⠀⠀⣠⣴⠶⠷⠶⣦⡀⠀⠀⠀⣀⣴⠶⠿⣶⣦⣀
⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠙⣦⢀⡼⠋⠀⣀⠀⠀⠙⠻⣦
⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠈⠟⠀⢀⣿⣿⣇⠀⠀⢀⠙⠆
⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⢸⣿⣿⡿⢠⣾⣿⣷
⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⠸⣿⣿⠃⣿⣿⣿⡟
⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟ ⡀⡀⡀⠀⠿⠿⠟
⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠙⣋⣤⣶⣾⣷⣦⠀⣠⣿⣿⣿⡆
⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⡿⠁
⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡈⣿⣿⣿⣿⣿⣿⣿⣿⠈⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣎⠛⣛⢿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠏⠀⠉⠻⠿

⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢾
⠀⠀⠀⠀⠀⡐⢕⠊⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⢳
⠀⠀⠀⠀⢰⢕⡇⠀⢀⡞⠙⢆⠀⠀⢀⣀⣀⣠⠶⠛⠉⠀⠀⠀⠙⢦
⠀⠀⠀⠀⢸⢕⡇⠀⣸⠀⠀⠀⠉⠒⠚⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳
⠀⠀⠀⠀⢸⢕⠗⠉⠏⠀⢀⡀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠔⠁⠀⢀⠃
⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠈⠁⠤⣆⠪⠸⠀⠒⠂⠜⠒⠀⠀⣠⠞⢷
⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠚⠲⠶⡤⡤⠔⡈⢧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿
⠀⠀⠀⠀⠀⠙⠛⠉⠑⠒⠢⠤⣾⡷⠓⢾⡷⠈⢾⣷⠒⠒⢾⣷⠊

                         ⢀⣤⠶⠶⣦
             ⢀⣠⠤⠶⠒⠛⠋⠁⠺⢷⡜⣧
       ⢀⣤⠞⠋                    ⠘⢧⡀
⢀⣠⡴⠶⠛⠁                          ⠈⠻⣆
⢸⡇⣶⠇                    ⢀⡀          ⢿⡆
⠘⣧⠙                    ⡀⠻⠟          ⢸⡇
 ⠹⡆        ⢀⣶⡀⢠⣰⠶⠟              ⣼⡇
   ⣿          ⠉                      ⣴⡟
   ⠸⣆                            ⢠⣾⣏
     ⠹⣦⡀                            ⠙⣧
       ⠈⠛⠶⠶⣶⠶⠖                ⢠⡀⢹⡆
               ⠿  ⠇                ⠈⠇  ⠿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠉⠉⠙⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⣀⠀⠀⢻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠈⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠙⢷⣄
⠀⠀⠀⠀⠀⠀⢀⣦⠀⠀⠀⠀⠀⠈⠑⠀⣀⣭⣷⣦⣤⣀
⠀⠀⠀⠀⠀⠀⣘⠁⠡⠀⠀⠀⠀⠀⠠⠚⠁⠀⠀⠀⠀⠹⣧
⠀⠀⠀⠀⠀⠀⠛⠀⠀⠐⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇
⠀⠀⠀⠀⡐⠁⢴⡄⠀⠀⠀⠀⠐⠈⠉⡽⠂⠀⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⡇⠀⠀⣤⠀⠶⡦⠀⠀⠴⠚⠀⠀⠀⠀⠀⠀⠀⣸⠇
⠀⠀⠀⠀⡼⠂⠀⠒⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⢀⠀⣠⠏
⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⢀⣎⠴⠋
⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋
⠀⠀⠀⠀⠘⠋⢠⡤⠂⠐⠀⠤⠤⠴⠚⠁⠀

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