⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠴⠶⠶⠶⠶⠦⢤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠿⠛⠛⠿⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀
⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀
⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀
⠀⢀⡟⠀⠀⠀⠀⠀⠀⣶⣶⡀⢸⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⡇⢀⣶⣶⠀⠀⠀⠀⠀⠀⢻⡀⠀
⠀⣼⠁⠀⠀⠀⠀⠀⣸⣿⣿⣷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣾⣿⣿⣇⠀⠀⠀⠀⠀⠈⣧⠀
⢀⡏⠀⠀⠀⠀⠀⢀⣿⣿⠹⣿⣷⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣾⣿⠏⣿⣿⡀⠀⠀⠀⠀⠀⢹⡀
⢸⡇⠀⠀⠀⠀⠀⣼⣿⡏⠀⠹⣿⣷⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⠟⢁⣾⣿⠏⠀⢹⣿⣧⠀⠀⠀⠀⠀⢸⡇
⢸⡇⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠹⣿⣷⡀⠀⠉⠉⠛⠛⠉⠉⠀⢀⣾⣿⠏⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⢸⡇
⠈⣇⠀⠀⠀⠀⣾⣿⠇⠀⠀⠀⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠸⣿⣷⠀⠀⠀⠀⣸⠁
⠀⢻⡀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠹⣿⣷⡀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⢿⣿⡆⠀⠀⢀⡟⠀
⠀⠈⣧⠀⠀⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⠹⣿⣷⡀⠀⠀⢀⣾⣿⠏⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⠀⠀⣼⠁⠀
⠀⠀⠘⢧⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠹⣿⣷⡀⢀⣾⣿⠏⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⡼⠃⠀⠀
⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠓⠲⠶⠶⠶⠶⠖⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀