⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡄⠤⢤⠠⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⡄⠖⠘⠈⠚⠞⢅⠄ ⠀⠔⠎⢁⠱⠑⠥⣁⠀⡄⠀⠀⠄⠉⠁⠀⠀⠀⠀⠈⠃⠇ ⢐⠅⣐⠃⠀⠀⠀⠀⠒⣄⡰⠉⠇⠀⠀⠀⠀⠀⠀⠡⢉⠀ ⠠⡡⠂⠀⠀⠀⠀⠀⠀⠉⠫⡅⠀⠀⠀⠀⠀⠀⠂⡂⠀⠀ ⠀⠱⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡒⠁⠀⠀ ⠀⠀⠍⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠁⠀⠀⠀ ⠀⠀⠈⠠⠈⠙⡔⠠⠀⠀⠀⠀⠀⠀⠀⠠⠌⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠂⡀⠉⠎⡂⠄⠀⠀⠀⡠⠍⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠢⠌⡙⣧⡢⡰⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡿⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠀⠀

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

⣸⣿⡇⢀⢻⣻⣹⣿⣿⣿⣭⣷⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⠛⠛⠻⠟⣿⣼ ⣿⣿⣧⢀⠛⠓⠋⠛⠓⠒⠒⠒⠿⣿⣿⣿⣿⣿⡟⢀⢀⡀⢀⢢⣄⢀⣠⣿ ⢻⣿⣍⡀⢀⢠⣶⣶⡀⢀⠤⢀⣴⣿⣿⣿⣿⣿⣿⣷⡀⢀⢠⣿⣿⣶⢿⣿ ⢀⠟⠻⣷⢲⣮⣿⣿⡓⣶⣤⣼⣿⣿⣿⣿⣿⣿⣿⡞⣿⣿⣿⣿⣿⣿⡎⣿ ⣀⡀⢀⠹⣧⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿

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

⠀⠀⢀⣤⣶⣾⢿⡿⣷⣶⣤⡀⠀⠀⠀⠀⢀⣠⣶⢾⡿⡟⠙⣶⣦⣄ ⠀⣴⣿⡟⣾⢽⣻⣽⢯⡿⣽⣿⢧⡀⠀⣰⡿⣯⣟⣯⠟⠁⠠⡹⢿⣾⣷⡀ ⣼⡿⣾⢽⣹⣞⣷⢿⣯⣟⣷⣻⣿⢷⣼⢿⡽⣷⣧⣤⣀⠀⢀⢤⣦⣴⣿⢷ ⣿⡽⣷⣫⣷⢿⣽⣻⢾⣽⢾⣳⡿⣿⢯⡿⡽⠷⣯⢿⣽⡆⢸⣿⢯⣟⣿⣿ ⣿⣟⣷⣻⣽⣻⢾⣽⣻⠹⣿⣽⣻⡽⣯⢿⣇⣀⣾⣟⡾⣿⣸⣟⣯⢿⣟⣾ ⠸⣾⡽⣯⡷⣟⣯⣷⡏⠀⢿⣞⡷⣟⣯⡿⣽⣻⢷⣯⣟⣷⣻⣞⣯⣿⢿⡍ ⠀⠹⣟⡷⣟⣯⡷⣯⠁⢰⠸⣿⣽⣻⢷⣻⢯⣟⡿⣾⣽⢾⣳⣯⣿⢯⡟ ⠀⠀⠙⢿⠽⠗⠛⠁⠀⠀⠂⠌⠓⠻⢯⣟⣯⡿⣽⠋⠈⢻⣻⣾⣟⠏ ⠀⠀⠀⠈⠳⣶⣤⡀⠀⠀⡠⣶⣶⣾⢿⣯⣷⣟⣿⣳⣴⢿⣟⡷⠁ ⠀⠀⠀⠀⠀⠈⠻⣿⡄⢸⣽⢿⡽⣾⣻⣮⣀⣽⣾⣳⣿⡿⠋ ⠀⠀⠀⠀⠀⠀⠀⠈⢣⢨⣿⢯⣟⣷⢯⡷⣿⡽⣾⡿⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠻⢯⣟⡾⣿⡽⣷⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡳⠛⠁