⠀⠀⠸⣷⢦⣤⣀⣀⣀⣠⣤⡿⠿⠿⣿⣿⡛⠗⠀⠹⣿⣿⣷⣴⠋⠉⣻⡿⠉⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣿⠓⠀⠀⠀⠀⠀⠈⠙⠂⠀⠉⣿⡁⠀⠀⠀⢹⣿⣿⣿⣷⣄⠉⠀⠀⢸⣷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⠦⣤⡤⠀⠀⠀⠀⠀⠀⠀⢹⡙⠀⠀⠀⠈⣿⣿⣿⣿⣿⣦⡀⠀⠘⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⣠⡤⠀⠀⠀⠀⠀⠀⠀⢻⡦⠄⢠⣧⢿⣿⣿⣿⣿⣿⣷⡄⠰⠿⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⠁⢠⡟⠁⢀⣤⣶⠀⠀⠀⠘⣿⠂⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⠻⢦⣀⣀⣀⣼⠀⠀⠀⠀ ⠀⠀⢠⡞⠀⢠⡄⠀⠀⠸⠿⠁⠀⠀⠀⠀⠏⢉⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢠⣤⣿⡇⠀⠀⠀⠀ ⢠⣤⣯⡤⠾⣿⠀⢠⣠⣄⣶⣶⣤⣀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢠⣿⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣶⠀⠹⣿⣿⣿⠛⠛⢿⣷⣦⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠶⢶⣾⣯⣾⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣷⣼⣄⠀⠈⣿⢿⡶⢿⣿⣿⣿⡿⣿⣦⡀⠋⠉⠙⠻⢿⣿⣿⣷⣤⡆⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⠉⠉⠓⠛⣿⡏⠃⣟⠛⣛⠿⣷⠈⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⣽⠇⠀⠀⠰⣤⣄⣤⣾⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡃⠀⠀⠀⠀⠸⠃⢰⣿⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠀⠀⠀⠀⠀⢉⡿⠋⢀⣴⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⣄⣀⣀⣤⠆⠀⠸⢿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢶⣿⣿⣄⠀⠀⠀⠀⠛⠛⠒⠙⣿⡦⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡟⠉⠁⠀⠀⠀⠈⠷⣤⣤⡴⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣤⣿⣿⠀⠀⠀⠀⠀⢤⣤⣾⣧⣀⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠘⢦⣄⣀⣤⢴⣶⠾⣿⠟⠀⠀⠀⠀⠀⠀⣻⣄⣀⣠⣴⣿⣿⣿⣧⣀⣀⣰⡆⠀⠀⠀⠀⠈⠉⠹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠓⢾⣯⡶⠂⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢸⠁⣠⠖⠿⠋⠁⠈⢙⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀