⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⢆⡤⣄⡀⠀⠀⠑⢿⡳⡤⠀⠀⠀⢸⣷⣄⠀⠀⠀⠀⣶⡄⠀⠀ ⠀⠀⠀⠀⠀⠘⢯⣿⣞⠿⣵⣤⣄⣈⣻⣿⣮⣬⣥⡜⣷⠻⡳⣷⠤⢾⣷⣧⠀⠀⠀⣰⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢟⠟⡟⡻⣯⠽⣝⣺⠭⣿⣾⢟⣉⣛⣯⣵⢏⡛⠫⣿⣦⣖⢭⣯⢯⠃⠀⠀⠀ ⠀⠀⠀⠙⠢⢷⣻⡷⣾⡼⡿⣿⣟⢯⢟⣷⣮⣮⣿⣿⡿⣿⣿⠿⣏⣿⣭⣾⠿⣴⣿⡇⢯⣤⣤⠶⠂ ⠀⠀⠀⠀⢀⡠⣠⣘⣋⣭⣯⣟⡞⣅⡖⡯⣏⠯⣷⣶⣷⡼⣷⣶⣿⣏⣿⣿⣭⡿⡿⡬⣛⣽⠏⠀⠀ ⣤⣒⣮⣟⡫⣯⣯⣻⣭⣽⡯⡧⣏⡾⠗⣯⢿⣻⣯⣩⣿⡯⣭⣿⣽⣾⣿⣿⣾⢿⡯⣟⡭⡀⠀⠀⠀ ⠀⠈⠉⠁⠁⢉⣩⣿⡿⣛⢭⢿⣏⣷⣯⣿⣯⣷⡿⣻⣿⣿⣿⣿⣿⣷⣟⣝⣟⣿⣿⢷⣬⣷⣦⢤⠀ ⠀⠀⠀⠀⡠⣼⣿⠯⣍⠿⢹⣷⢽⣯⢷⢿⣿⣾⡿⣿⣥⡟⣿⡷⣬⣟⣿⣯⣽⣷⡿⡎⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠀⠀⢀⣼⣿⣿⣷⠷⠻⡻⠝⠀⠘⢽⣿⣯⡇⠈⠙⠿⠏⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡍⠁⠀⠀⠀⠀⢀⣀⡀⠉⠫⠇⠀⠀⠀⠒⠒⠂⠀⢨⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠙⣆⠀⠀⠀⠈⠁⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⣀⡔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠦⠤⢄⣀⣀⣀⣀⣀⣀⡠⠤⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀