⢈⣹⠋⢀⣰⣭⣿⣿⣷⣬⣿⠁⠀⠀⢹
⣼⣿⣠⣾⣿⣿⣿⣿⣿⣿⣶⣆⢠⣸⠐⠈⠙
⡿⠷⣶⣿⣿⣿⣿⣿⣿⣿⡿⣫⣿⡄⠀⠀⣼
⣿⣭⢹⢿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣇⣴⣿
⠀⠒⠉⠂⠂⠔⢌⣛⠿⣿⣿⣿⣿⣿
⠀⠀⠀ ⠀⠀⠀⠀⠈ ⠂⠀⠹⣿⣿⣿
⠀⠀⠀⠀⠁ ⠀⠀⠀ ⠀⠀⠀⢹⣿⣿
⠀⠀⠀⠀⠀⠀ ⠀⠀ ⠀⠀⠈⢼⣿
⣤⡀⠀ ⠀⣀⣀⣀⠀⠀ ⠀⠀⢸⣿
⡟⠁⠀ ⢰⣿⣿⣿⣿⡆ ⠀⠰⣼
⠀⠀⠀ ⠈⠻⣿⣿⡿⠀⠀ ⠀⠀⠀⡈⢻
⡄⠀⣀⣄⠀ ⠀⠈⠀⠀ ⠀⠀⠀⢀
⡉⠉⠛⠃⠀⠀⠀ ⠀⠀⠀⠀⣾
⠿⠿⢿⡶⡆⠁⠀ ⠀ ⠠⠀⢸
⡀⠐⢛⠃⠁⠀ ⠀ ⢀⡇⠀⠉⠻
⠿⠿⠛⠃⠀ ⠀ ⠀⠠⢻⠀⠀⠀⠀⠈⠛
⠀⠀ ⠀ ⠀⢀⣴⣪⢶⡞⠀⠀⢠⠀⠀⠀⠀⠈
⣶⣶⢶⣶⡿⣞⣵⢟⣀⡀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⣿⣿⠿⢁⣵⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣟⣩⣴⣾⣿⠟⡽⢻⡇⠀⠀⠀⢀⠀⠀

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

⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⠛⠋⠉⠛⠋⠛⠛⠙⠿⣿⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⣀⣀⣀⣤⣤⣤⣤⣶⡆⣿⢿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢿⣻⣟⣿⢷⡼⠿⢟⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠉⡉⠀⠀⠀⣠⣴⣶⣻⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢢⣤⣴⣿⠀⢲⣾⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡦⠤⠼⢿⣿⣿⣿⡇⢠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣶⣶⣿⡿⠋⠁⠈⢀⣾⣧⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⣰⣿⣿⣿⣷⢀⡀⠀
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⢏⣿⣿⣷
⣠⣴⣾⣿⣿⣿⡟⠁⠀⠀⠠⣤⣤⣤⢀⣤⣴⠂⠘⣿⠋⣾⣿⣿⣿