⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡧⠊⠀⠂
⠀⠀⠀⠀⠀⠀⠀⡠⠂⠉⠀⠈⠀⠀⠈⠀⠐
⠀⠀⠀⠀⠀⠀⠠⠃⠀⠀⣠⠔⣄⠀⢈⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡟⠁
⠀⠀⠀⠀⠀⢠⣼⣆⠀⢀⠑⠀⢸⢱⢸⠀⠀⠀⠀⠀⣀⣤⣶⡞⠛⠻⠀
⠀⠀⠀⠀⠨⣤⠄⠼⡟⣿⣶⡶⢧⡇⠀⠀⢀⣤⣶⣿⣯⣭⠥⠀⠀⡀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢿⣿⣧⣸⠄⣴⣾⣿⣿⠿⠛⠋⣀⠄⠂⠁
⠀⠀⠀⠀⠀⣠⣾⣶⡆⣾⡦⣾⢿⡄⢩⠟⠋⢁⠠⠐⠈⠀
⠀⠀⠀⣠⣾⣿⣿⣿⣿⠿⣿⣿⣔⣵⣸⣴⠈⠀
⠀⠀⠰⣿⣿⣿⣿⡿⠋⠀⠈⠻⣿⣿⣿⡿⠃⠀⠀
⠀⢠⡾⠿⣿⠉⠉⠀⠀⠀⠀⠀⢠⣿⢛⣗
⢀⣿⣷⣿⡋⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣷⣳⡄
⠘⠟⠓⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁




⠳⣌⢢⣀⣀⣀⣣⣀⣠⠤⡆⠀⠐⢚⣏⡩⢴⠋⢈⠟⣫⠟⠁
⠀⠀⠉⠛⠛⠻⢮⣮⠙⠛⢻⣛⠭⢿⠒⢊⠏⢉⣯⠟⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢱⡎⢹⣀⠤⡖⠒⣸⣵⣾⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠉⢀⣠⣧⣾⣿⣿⣿⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡧⢺⣡⣾⣿⠿⡛⠛⣉⣩⣷⣄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣸⣡⣼⢯⡡⠔⠊⢩⠁⠀⠀⡎⢹⡀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⢃⠎⠱⡀⢀⡨⡦⠀⢒⠳⣄⡇⠀
⠀⠀⠀⠀⠀⠀⠀⣼⠿⢻⢇⣀⣤⣾⣇⡀⢹⠀⣸⡴⢾⡇⠀
⠀⠀⠀⠀⠀⠀⠀⣇⢀⠇⣰⠏⠁⠀⠈⠻⣶⣓⣿⠁⠀⡇⠀
⠀⠀⠀⠀⠀⠀⠀⡇⢸⡑⣿⠀⠀⠀⠀⣴⠏⢨⠙⢧⣠⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠹⡄⢧⣿⣆⣠⣴⢿⠛⠒⢼⠔⢹⡿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣘⠛⢫⡴⠁⢀⣀⣎⡤⠞⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠐⠒⠊⠁⠀⠀⠀⠀⠀