⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢯⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡇⢹⡄⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣆⡀⢰⠇⢸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣷⡾⠂⠘⠷⠚⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠛⠞⠀⠘⠗⢻⡀⠀⠀⠀ ⠀⢀⠀⢸⡇⠉⠀⡀⠀⠀⢸⣀⣠⡆⠀⠀⠀⠀⠀⠀⠀⠀⣴⢤⣸⠄⠀⠀⢀⠀⠀⢸⣇⠀⠀⠀ ⠀⢹⡍⠉⠁⠀⢠⣿⣦⠀⠘⠉⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠉⠀⠀⢠⣼⣇⠀⠀⠉⢉⡟⠀ ⠀⠀⣧⡀⠀⠀⣿⣿⣿⣷⡀⡀⡟⠀⣠⠀⠀⠀⠀⠀⢠⣄⣸⡇⠀⠀⣠⣿⣿⣿⡀⠀⠀⣼⠁⠀ ⠀⣠⠞⠃⠀⢸⣿⣿⣿⣿⣷⡀⠋⠉⣹⠀⡀⠀⠀⣄⠘⣇⠉⠁⣀⣴⣿⣿⣿⣿⡇⠀⠐⢷⣂⠀ ⠀⠻⡄⠀⠀⢼⣿⣿⣿⣿⣿⣇⠀⠀⡿⣠⢧⡀⢠⡿⣇⣿⠀⠀⣸⣿⣿⣿⣿⣿⡇⠀⠀⢠⠟⠀ ⠀⠀⣻⡄⠀⣿⣿⣿⣿⣯⣿⣿⡆⢠⡿⠃⠀⢻⡟⠀⠈⣾⠖⢰⣿⣿⣿⣿⣿⣿⡇⠀⢰⡏⠀⠀ ⢴⡚⠉⠀⠀⢿⣿⣿⣿⣿⣿⡿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⢿⣿⣯⡇⠀⠀⠉⢳⣦ ⠀⠉⠳⢤⣀⠸⣿⣿⡿⠏⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠋⢻⣿⣿⡇⣀⡤⠞⠉⠀ ⠀⢀⡴⠋⠀⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠈⠉⠳⢤⣄ ⠾⣍⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁ ⠀⠀⠉⣳⠦⠀⠀⠀⠀⣠⣶⣶⠀⠀⠀⠀⢀⣶⣶⡄⠀⠀⠀⢠⣶⣦⡀⠀⠀⠀⠀⡰⣏⠀⠀⠀ ⠀⣠⠞⠁⠀⠀⠀⠀⠀⢽⣿⣿⠇⠀⠀⠀⢸⣿⣿⡷⠀⠀⠀⢿⣿⣿⠅⠀⠀⠀⠀⠀⠈⢷⡀⠀ ⠀⠉⠛⠒⠤⣤⡀⠀⠀⠈⠻⠋⠀⠀⠀⠀⠀⠻⠋⠀⠀⠀⠀⠈⠻⠋⠀⠀⠀⢠⣤⠖⠚⠋⠉⠀ ⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠉⠳⣄⠀⠀⠀ ⠀⠀⠀⠉⠉⣹⠗⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠻⡍⠉⠉⠀⠀⠀ ⠀⣤⠖⢋⣹⣋⣀⣀⡀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢰⣄⣀⡙⣆⠀⠀⠀⠀ ⣾⠁⢰⣿⣿⣿⡥⣸⠃⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣧⠈⠉⠻⠂⠀⠀⠀ ⠻⣄⠘⢿⣿⠟⠁⣏⣀⣀⡄⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⢠⣀⣀⣸⣄⣄⣀⣀⡀⠀⠀ ⠀⠈⠓⢦⣀⡀⠀⠀⠀⢠⡇⠀⠀⡀⠀⠈⠙⠛⠛⠋⠁⠀⣀⠀⠀⢸⡅⠀⠀⠀⠀⢀⣀⠉⢳⡄ ⠀⠀⠀⠀⠀⠙⠲⢤⣀⠸⠷⠚⠋⣧⠀⠀⢀⠀⠀⣄⠀⠀⣿⠉⠓⠺⠋⠀⠀⠀⢴⣿⣿⣷⠀⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣦⡄⠀⣿⣤⣶⢻⡄⢰⡏⠓⣤⢻⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⢰⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⠀⠛⠁⠀⠀⢷⡟⠀⠀⠈⠉⠀⢰⠤⠦⠤⠦⠤⠤⠤⠶⠚⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠦⣄⠀⢀⣀⣤⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠀⠀⢠⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⡏⠓⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⠓⢦⣀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⠓⠦⣄⠀⣰⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⣤⠤⡤⠤⠤⠤⠤⠼⡃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀