⠀⢀⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⣀⠀⠀ ⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⣼⣷⡀ ⡸⠀⠀⠀⢀⣀⣤⣄⡀⠀⠀⠀⠰⡀⠀⠈⡹⠁ ⡇⠀⠀⠐⠁⠙⠿⠃⡁⠀⠀⢀⣀⠈⠀⢹⠃⠀ ⢣⠀⠀⠈⠢⠀⠠⠔⢱⡚⠙⡍⡟⠀⡰⠃⠀⠀ ⠈⠳⣄⡀⠀⠀⠀⠀⠀⠉⠀⣁⠤⠚⠁⠀⠀⠀ ⠀⠀⡠⠃⠀⠀⠀⠀⠐⠊⠉⡎⠀⠀⠀⡀⠀⠀ ⠀⠈⠀⠀⠂⠘⠉⠉⡆⠀⠀⢗⠚⢉⢹⠙⡆⠀ ⣰⠓⠤⠠⢤⣀⠀⢀⡇⠀⠀⠸⠤⠬⣁⡠⠃⠀

⠀⠀⠀⣠⡶⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣄⠀⠀⠀⠀⠀ ⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⡷⠤⣤⡀⠀ ⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠉⠀⠀⢰⣿⣿⣦ ⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠻⠿⣿ ⢸⠁⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⡦⣄⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⢀⡴⠃ ⢸⠀⠀⠀⠀⠀⡞⠉⠸⣿⣿⣿⠇⠈⡇⠀⠀⠀⠀⠀⠀⠀⠉⠒⠒⠋⣿⠀⠀ ⢸⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⢀⣀⣤⠴⡆⠀⠀⠀⣰⠇⠀⠀ ⢸⡄⠀⠀⠀⠀⠈⠦⣀⣀⣀⡤⠖⠁⢰⡋⢹⠉⢣⠈⣷⠃⠀⠀⣴⠏⠀⠀⠀ ⠀⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠾⠦⠼⠚⠁⠀⣠⡾⠃⠀⠀⠀⠀ ⠀⠀⠙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠶⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣨⡟⠀⠀⠀⠀⠀⠀⠀⠀⠴⠖⠚⠉⢩⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡾⠛⠀⢀⡀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⢸⡇⠀⣠⣤⣤⣤⣤⡀⠀⠀ ⠀⠀⡟⠀⠀⠀⠘⠧⠴⠟⠁⠀⠈⢻⡄⠀⠀⠀⢸⡗⠒⠃⣆⠀⢿⠈⢻⡄⠀ ⠀⣠⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣇⠀⠀⠙⠓⠛⠀⢸⡇⠀ ⣠⡏⠈⠛⠦⠤⠤⠶⣤⣀⣀⣀⣀⣰⠇⠀⠀⠀⠀⢹⡶⠶⠷⣄⣀⣤⡟⠀⠀

⠀⠀⠀⠀⢀⣴⣾⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠚⠋⠉⣉⣿⣶⣄⠀ ⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⣿⣿⣿⣿⡆ ⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠙⠻⠿⢿⡇ ⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⢀⡾⠁ ⢸⡇⠀⠀⠀⠀⠀⠀⣠⠾⠛⣿⣿⣿⣿⣿⡇⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣤⣤⡤⠶⣾⠋⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠘⠛⠛⠛⠋⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⣀⣀⣀⣠⡤⢶⡚⢻⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀ ⢸⣇⠀⠀⠀⠀⠀⠀⠈⠳⣄⣀⣀⣀⣠⡴⠞⠁⠀⡟⠉⢻⠉⠹⡆⠈⣧⡟⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀ ⠀⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠻⢦⣼⣇⣀⣧⠴⠋⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⢶⡞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠋⠉⠁⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⠿⠃⠀⢀⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⢀⣀⣀⣀⣀⣠⣀⠀⠀⠀⠀ ⠀⠀⠀⡿⠁⠀⠀⠀⢸⣧⣀⣤⡿⠋⠉⠉⠛⢷⡄⠀⠀⠀⠀⠀⢻⣶⣤⠾⢉⡉⠉⢻⡏⠙⣷⡀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⢸⡆⠀⠀⠘⣧⣄⣸⡇⠀⠸⣧⠀⠀ ⠀⢠⡟⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠉⠁⠀⠀⣸⡏⠀⠀ ⣠⡿⠀⠀⠙⠓⠶⠶⠶⠶⢶⣦⣀⣀⣀⣀⣀⣴⡟⠀⠀⠀⠀⠀⠀⣻⡟⠓⠛⠻⣦⣤⣤⢾⣋⡀⠀⠀