.
⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠤⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠻⣍⠙⠭⢉⡛⠒⠲⠤⠶⠛⠉⡀⠀⠀⠀⢀⠈⠙⠳⢤⣤⡤⠤⠤⠤⠤⠤⠴⡄
⠀⠈⢳⡀⠀⠈⠙⢶⡄⢀⣤⣤⣌⠢⠘⠀⢂⣤⣤⡀⠀⣠⠴⠒⠒⠂⠀⢠⠞⠁
⠀⠀⠀⢳⡀⠀⠀⠀⠋⢹⣿⣿⣿⠀⠤⡄⣾⣿⣿⡿⠘⠃⠀⠀⠀⢀⡴⠋⠀⠀
⠀⠀⠀⠀⠉⠓⠦⢤⣼⣄⠉⠉⡉⠀⠬⠄⠈⣉⣉⣀⣬⣤⣤⠴⠖⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢷⡈⠉⠉⡝⠛⠉⠉⠉⠉⠉⣠⣼⠛⣿⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⡾⡙⢢⢤⣁⠀⢀⣀⡤⠒⣻⠉⡠⢴⡾⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⡷⣗⢺⡌⠉⠏⢹⠁⢀⠔⣹⣤⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠛⢳⠏⡡⢸⠀⠈⠘⠁⠐⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠋⠁⢸⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⠒⠚⠒⠒⠒⠒⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠤⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠻⣍⠙⠭⢉⡛⠒⠲⠤⠶⠛⠉⡀⠀⠀⠀⢀⠈⠙⠳⢤⣤⡤⠤⠤⠤⠤⠤⠴⡄
⠀⠈⢳⡀⠀⠈⠙⢶⡄⢀⣤⣤⣌⠢⠘⠀⢂⣤⣤⡀⠀⣠⠴⠒⠒⠂⠀⢠⠞⠁
⠀⠀⠀⢳⡀⠀⠀⠀⠋⢹⣿⣿⣿⠀⠤⡄⣾⣿⣿⡿⠘⠃⠀⠀⠀⢀⡴⠋⠀⠀
⠀⠀⠀⠀⠉⠓⠦⢤⣼⣄⠉⠉⡉⠀⠬⠄⠈⣉⣉⣀⣬⣤⣤⠴⠖⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢷⡈⠉⠉⡝⠛⠉⠉⠉⠉⠉⣠⣼⠛⣿⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⡾⡙⢢⢤⣁⠀⢀⣀⡤⠒⣻⠉⡠⢴⡾⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⡷⣗⢺⡌⠉⠏⢹⠁⢀⠔⣹⣤⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠛⢳⠏⡡⢸⠀⠈⠘⠁⠐⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠋⠁⢸⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⠒⠚⠒⠒⠒⠒⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀