⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡃⠀⠿⠇⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⣰⡄⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠸⡷⠃⢀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⢀⣀⡀⠀⢿⣳⡄⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⠁⠀⠸⣌⣻⠀⠀⠉⠁⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡤⢾⢁⡞⠉⠉⠓⢦⡁⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡴⠯⠴⠋⠈⠧⣄⣀⣀⣠⠇⠀⠀⠶⠆⠀⢲⡆⠀⠀⠨⠷⠲⡄⠀⠀⠀⠀⠀
⠀⠀⢀⣾⣅⢀⣠⠤⠶⠖⠒⠚⠛⠛⣟⠛⠛⠛⠒⡒⠒⠒⠷⠦⢤⣀⠀⠀⢻⡄⠀⠀⠀⠀ ⠀⠀⣼⢡⢟⣉⣀⠒⠶⠤⣄⡀⠀⠀⠈⢧⠀⠀⠀⡇⠀⠀⠀⡇⠀⠈⠑⣆⠀⢷⠀⠀⠀⠀
⠀⠀⣿⡏⠀⢈⣉⣉⣉⣛⣒⣿⣿⣶⣤⠼⠗⠶⠾⣅⣀⡤⠞⣁⣤⠴⠂⠘⡇⢸⠀⠀⠀⠀ ⠀⠀⠘⣿⣄⠈⠀⠀⠀⢀⣠⣭⠟⠁⠀⠀⠀⠀⠀⠀⠙⢶⣋⠉⠀⠀⠀⢀⡇⡼⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⣶⣶⣿⣭⣥⡏⢀⣈⣈⠉⠀⠀⠐⠂⠠⠈⣏⣉⣉⣻⣶⣞⡵⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢹⠃⠻⢿⣿⠟⠀⠘⢾⣿⣿⠀⡿⠛⠛⠓⠋⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⡄⠀⠉⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⣴⠀⠀⣹⡄⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠈⠈⠁⠉⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠠⠤⠤⠤⠤⠤⠤⠄⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⡀⠀⠀