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