⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢰⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠉⣷⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⣿⠀⠀⠈⣿⣦⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⣞⡇⠀⠀⠀⣼⡿⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⢿⣽⡀⠀⠉⠛⠁⠀⣰⣾⠿⠿⣦⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣞⡿⣞⡅⠀⠀⠀⠀⠘⠏⠓⠒⠒⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⢾⣽⢫⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢤⣶⡻⣞⣿⣺⢯⣽⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣿⣽⣻⢾⣽⣷⣾⣽⣻⣞⣷⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣶⣄⡀⠀⠀⠀⣀⣲⣴⢶⣞⡿⣽⣞⡷⣯⢿⡽⣞⣿⠟⠋⠁⠉⠈⠳⣟⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⢶⣾⣿⡽⣯⣟⡾⣽⡷⣯⣟⡽⡾⣽⡯⠁⠀⠀⠀⠀⠀⠀⢮⣭⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢞⣿⣿⢯⡿⣿⣯⣟⣷⣯⢿⣳⣟⡷⣽⣼⣻⣽⠀⠀⠀⠀⠀⠀⠀⢀⣼⡯⡗⠋⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣯⣽⣾⣿⣾⣗⡿⣯⡷⣯⣟⡷⣞⣼⣿⣀⠀⠀⠀⠀⢀⣠⡿⣏⡗⠈⠐⠈⠅⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠛⠏⠉⠉⠽⢟⢿⣿⣿⣿⣿⣷⣻⢾⡽⣞⡷⠄⡹⣶⢿⣻⢿⣻⡽⢯⣼⢦⠶⠁⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣯⠇⠀⠀⠀⠀⠀⠁⣽⣿⣿⣿⣷⣯⣿⣽⣛⡦⠀⠀⢩⣿⣹⢯⣷⢻⣟⠺⢣⡖⣘⠤⠓⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡃⠁⠀⠀⠀⢀⣤⣾⣟⢿⣻⣿⣿⣟⡾⣽⡳⠄⠎⢳⣯⢯⣟⡾⢯⣞⣯⣓⠉⢀⠀⠀⡄⢢⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣷⣶⣳⣶⣺⣿⣿⣳⢯⣟⣿⣿⣳⢯⠛⠅⠃⠀⠀⣴⣿⡿⣬⢶⠾⠙⣊⣥⠾⡒⠊⢁⢠⠣⣌⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡽⣾⡽⣯⣟⣿⡿⣯⣿⣿⣾⢿⣿⠳⢏⣈⢠⠀⠀⣰⢿⡿⣽⣉⡶⠌⠋⠉⣀⡀⠁⠀⠀⠀⣘⡐⣂⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣽⣳⣟⣳⣟⣾⣽⣿⣿⣿⣿⣿⣦⣜⡻⡽⠆⠧⣴⡟⣯⢟⡳⣭⠲⠄⠐⠀⠀⠀⠈⠁⠉⠑⢊⡕⢃⠄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣾⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⢧⠀⠹⠾⡵⡞⡽⢢⣃⠐⠀⠀⠄⡐⠀⠀⠀⡘⢦⠘⣌⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠒⡈⠀⡀⠄⡑⠢⣉⠴⣈⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣏⡴⣶⣵⣢⢤⢠⡀⡄⢠⠐⡰⢌⡱⠀⡁⡀⠆⡥⠆⡥⣛⡽⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠉⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣻⢷⣯⡽⣞⣷⣻⡼⣡⢋⡔⠣⠜⡐⢐⠠⡓⣤⣙⣲⣽⣻⢷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣽⣞⣷⣻⡴⣣⢜⡱⣊⡕⣊⠠⡙⡰⣭⢷⣯⣿⢿
█▀▀█ █░░█ █░█ █▀▀█ 　 ▒█▀▀█ █░░ █░░█ █▀▀█ ▀▀█▀▀
█░░░ █▄▄█ █▀▄ █▄▄█ 　 ▒█▀▀▄ █░░ █▄▄█ █▄▄█ ░░█░░
█▄▄█ ▄▄▄█ ▀░▀ ▀░░▀ 　 ▒█▄▄█ ▀▀▀ ▄▄▄█ ▀░░▀ ░?