⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⣄⠀⠀⣠⣠⢄⡠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣷⣶⣥⣀⠹⡝⠀⠐⢫⠃⣀⣤⣶⣾⣿⣿⣿⣷⠀⠀⠀⠀
⣧⡀⠀⠘⣿⣿⣿⣿⣿⣿⣿⢋⠔⠁⠄⠀⠈⠢⣙⣿⣿⣿⣿⣿⡿⢏⠀⠀⠀⣰
⠻⣿⣀⡀⠛⠶⠿⠿⠛⣛⠞⠃⠀⠀⠀⠀⠀⠀⠀⠳⣘⠛⠿⠿⠾⠇⢀⠀⣀⠛
⠀⠈⣇⠘⢦⡀⠀⠔⠉⠴⣖⣒⣒⣒⢲⣒⣒⣒⣒⣶⠦⠉⠢⡀⢀⡤⠛⢰⠁⠀
⠀⠀⠈⠒⢄⣈⠇⠀⠀⠀⠀⠈⠻⢿⣿⣾⡿⠛⠁⠀⠀⠀⠀⠘⢁⣠⠖⠁⠀⠀
⠀⠀⠀⠀⠀⠀⣀⠄⠀⠀⢀⣀⣀⣤⣼⣧⣖⣄⣀⣀⠄⠀⠰⣀⠈⠐⠒⠤⠀⠀
⠀⠀⠀⣀⠤⠛⠋⠀⣘⠤⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠤⣃⠀⠉⠛⢤⣀⠀⠀⠀
⠄⠂⠀⡠⢒⠥⢒⣩⣴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⣍⡒⠤⠔⢄⠋⢒⠦

⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⣀⡿⠞⠓⠀⠀⠀⠀⠀⠙⠦⠀⠀⠀⠀⠀⠀⠀⢸⡇
⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇
⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃
⠀⠀⢿⡀⠀⠠⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⣰⣶⣶⣶⠒⢲⡖⠀⠀⠀⣠⠟⠀
⣠⣤⣀⣳⡄⠀⡟⠀⠀⣿⣿⣿⡃⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⣷⠀⢠⡾⠯⢤⡄
⠹⣦⡈⠉⠁⠸⡇⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠙⣿⣿⠏⠀⠀⣿⠀⠀⢀⣴⠋⠀
⠀⠈⢙⡷⢠⡀⣝⡄⠀⠀⠉⠁⠀⠉⠉⠀⠀⠀⠀⠀⠀⢠⢶⡰⠀⠀⢻⡅⠀⠀
⠀⢀⡿⠀⠀⠈⠁⠀⠀⠀⠀⠠⠤⠴⠖⠒⠒⠚⠁⠀⠀⠀⠉⠀⡀⠀⢀⣹⣆⠀
⠀⠘⠓⠒⠛⠙⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡴⠖⠋⠉⠉⠉⠉⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠻⣌⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀