⡀⡀⣸⡏⣻⣦⣤⣤⣤⣤⣀⡀⡀⣀⣤⣤⣤⣤⣴⡟⣹⡇⡀⡀
⡀⡀⣸⡇⡀⣹⡆⡀⡀⡈⡙⣷⡾⡋⡁⡀⡀⣰⣏⡀⣸⡇⡀⡀
⡀⡀⣾⡛⡛⡋⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡙⡛⡛⣷⡀⡀
⡀⡀⣿⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⣿⡀⡀
⡀⡀⡙⣧⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⣼⡋⡀⡀
⡀⡀⡀⡘⣷⡄⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⣀⡼⡃⡀⡀⡀
⡀⡀⣀⣀⣈⡻⣦⡀⡀⡀⡀⡀⡀⡀⡀⡀⣀⣴⡟⡁⣿⣦⡀⡀
⡀⣾⡋⡉⡉⡻⣮⡻⣦⡀⡀⡀⡀⡀⣀⣴⡟⡁⡀⣠⣿⣬⣷⡀
⡀⣻⣄⡀⡀⡀⡈⣻⣌⣻⣦⣀⣀⣴⡟⡁⡀⡀⡀⡉⣱⡟⡛⡀
⡀⡀⡉⡛⡶⡶⡶⡞⡛⣯⣈⡉⡉⡁⡀⡀⡀⡀⣀⣴⡟⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡙⡷⣦⣤⣤⣤⣤⡶⡟⡁