⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⢀⣀⣠⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠛⠉⠉⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠉⠉⠀⠀⠀⠉⠉⠙⠶⣄⠀⢰⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣄⣤⠤⠤⣤⣄⠀⠀⠀⠘⡆⠈⠀⠞⠀⡀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⣦⣤⣤⣤⠤⣶⠚⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣤⡀⠀⠋⠁ ⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡬⢷⣄⠀⠀⠈⢳⣤⣶⣶⣿⡘⣇⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⡄⠀ ⣀⣀⡀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣣⣴⣾⡿⠒⠒⣚⣋⠁⡔⡿⣍⠻⣦⣠⡟⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀ ⠈⣀⡤⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠁⠀⢰⠋⠉⡿⠀⠙⠂⢨⣧⣸⡎⣀⣀⣉⠳⢤⣄⣀⣀⡀⠀⠀⠀⣸⠁ ⠀⢁⡤⠆⠀⠘⢧⠀⠀⠀⠀⠀⠀⠠⠏⠀⠀⣧⡇⠀⢸⡆⢰⡇⠀⠀⠀⢠⡿⣎⠈⢧⣀⠈⠙⢷⡀⣿⠉⠁⠀⠀⢠⡏⠀ ⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠟⠀⠀⠀⣠⠟⠞⠉⠁⠀⠉⠛⠒⢚⣀⣻⣀⡀⠀⢤⠞⠀⠀ ⠀⠀⠀⠀⢀⡤⠶⠲⠿⢷⣀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⡤⠤⠤⠤⠾⠷⠶⠖⠒⠒⠒⠚⠛⠉⠉⠁⠀⠀⠙⢷⡀⠀⠀⠀ ⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀ ⣀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀ ⠉⠛⠲⣦⠤⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠰⠤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⢒⠶⣦⡤⠤⣤⣤⣤⣤⠤⠴⢖⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⣀⡀⠀⠀⠀⢀⣀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⡏⣿⠀⡏⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠉⠙⠋⠉⠁⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⢹⢰⡇⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢿⣸⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠈⠉⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⢀⣠⣞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠙⠶⠤⢤⡶⠒⠛⠉⢀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⠀⠈⠛⠶⢤⣄⣀⣀⣀⣀⣀⣀⣀⣤⠴⠞⣏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣤⡤⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠹⡄⢀⣀⣀⣠⡤⠴⠖⠋⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀