⠀⠀⠀⠀⢀⣀⣀⣀⣄⣀⣠⣤⣄⣠⣄⠀⠀⠀⠀⠀
⠀⣀⡤⠔⡾⠟⠁⠀⢠⠏⠀⠀⠉⠪⢻⡟⠲⢤⡀⠀
⢸⠁⣀⣸⣥⣤⣄⣀⣸⣀⣀⣤⣤⣄⣈⣳⡀⠀⠙⡆
⠘⡆⠘⣧⣿⣿⣿⣿⠏⣏⣼⣿⣿⣿⡟⢹⡇⠀⢰⠇
⠀⠙⣦⣿⣿⣿⣿⠟⠀⠘⢿⣿⣿⡿⠃⢸⣇⡴⠋⠀
⠀⠀⠘⠋⣇⢠⢣⡶⣲⣶⣦⠈⢦⠀⠀⡾⠙⠀⠀⠀
⠀⠀⠀⠀⠘⢾⠀⠳⢿⠶⠃⠀⣸⣶⠞⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⡗⡶⢾⠷⢶⠒⣷⡟⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢻⡇⠈⠀⢀⣿⡿⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢿⣒⣖⣺⠏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⣿⣄⣀⠀⠀⠀⠰⣄⣀⡀⣀⣀⣀⣀⢀⣀⣠⠎⠀⢀⣀⣴⣿
⠀⠀⠀⠀⠀⠸⢛⠿⣿⣷⣦⣼⣷⣽⣽⣿⣿⣿⣿⣾⣧⣴⣾⣿⢟⡋⠏
⠀⠀⠀⠀⠀⠀⠩⡳⣬⡙⢻⣿⣿⣫⣿⣿⣿⣿⣯⣿⣿⡿⠋⣵⢞⠍⡀
⠀⠀⠀⠀⠈⠛⠢⢈⣮⣵⣧⣌⠿⠻⢿⣏⣿⣹⠿⠿⢁⣺⣷⣵⣁⠐⠉⠉⠁
⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣷⣽⣿⢾⣿⢻⣻⣮⣭⣿⣿⣿⣿⣿⣿⣷⠦⠤
⠀⠀⠉⠉⠉⠁⠀⠀⠀⣠⣤⣤⣤⠌⣯⡙⠛⣩⡎⢤⣶⣦⣤⣄⡀
⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠿⠉⠀⠀⠀⣶⣶⢶⡶⠀⠀⠈⠙⠿⣿⣿⣧
⠀⠀⠀⠀⠀⣠⣿⠿⠛⠀⠀⢀⣠⡞⠃⡃⠀⠀⠸⠀⠘⣦⣀⠀⠀⠛⠿⣿⡄
⠀⠀⠀⠀⡰⠛⠁⠀⠀⠀⢠⣾⡟⠁⠀⣷⣶⣴⠇⠀⠀⠀⠉⢿⣧⠀⠀⠀⠉⠛⢦
⠀⠀⠀⠈⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠉⠛⠛⠀⠀⠀⠀⠀⠀⠈⢻⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣