⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⢀⠔⠒⠙⢒⣲⣤⡀⢰⠀⢀⡼⠔⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⡠⣔⣾⣛⣽⣭⣭⣟⣾⣠⣿⣷⣭⣷⣖⢮⡉⠁⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣽⣏⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡏⣿⣿⣿⣿⣿⣿⣦⢄⠀⠈⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠀⣀⡀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠰⢄⡀⢸⣼⣿⣿⣧⣿⣿⣿⣿⣿⣿⡟⣿⠋⠉⠈⠉⠉⠉⠉⠛⣿⡿⣿⣿⣿⣿⣿⣟⠂⠈⠁⠀⡀⡀⠀⠀⠀⠀⢀⣀⡀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⣿⣿⣿⣿⣿⡿⢿⣿⡟⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⢹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠄⣠⡤⠖⠋⠉⠉⠉⠉⠓
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠈⣿⡇⠀⠻⣇⠀⠀⠀⠀⠀⠀⢀⡿⠀⣼⡿⣿⣿⣿⣿⣦⡀⠀⠄⢠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠠⠤⠴⢿⢻⣿⣿⣿⣿⠟⠉⢳⠶⠛⠛⠛⠷⡋⠁⠀⠀⠀⠀⠒⢞⣧⣤⣿⣇⣻⣿⣿⠃⠈⠉⠩⠁⡾ How can you⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣸⣿⣿⣿⣿⠀⡜⠁⠀⠀⠀⠀⠀⠀⠣⠀⠀⠀⢀⠔⠉⠀⠀⠀⠉⠯⣻⣟⠀⠀⢘⣷⠼⡇⠀believe in ghosts⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⠿⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⢹⡃⠀⢀⠀⡛⣈⡇⠀when you have never⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠑⣬⣿⠹⡀⠀⠀⠀⠀⠀⠀⠀⢀⣦⢤⣼⡀⠀⠀⠀⠀⠀⠀⠀⢀⣽⠂⡀⣃⢆⠂⣧⠀ seen one? ⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⡌⠉⡇⠀⠑⠄⣀⠀⠀⠀⣠⠴⠛⢡⡾⠸⢿⡀⠀⠀⠀⠀⠀⢀⣼⠋⣧⢀⠂⡰⡿⢥⠄⠀That’s crazy!⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠘⡀⢹⠀⠀⠀⠘⢍⣹⡹⠗⠀⠀⠀⠉⢀⠀⠙⢶⣤⣤⢤⡖⠁⡟⠇⡟⠱⣄⠈⠀⡹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡈⠚⡄⢸⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠊⠁⢀⡧⢹⠇⠀⠈⢷⡗⣌⠛⣦⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡰⢷⡀⠁⠀⠀⠀⠀⡠⠊⠁⠀⠉⠈⠉⠒⡀⠀⠀⠀⠀⣼⣀⡾⠀⠀⠀⠀⠳⡅⡙⢈⠙⠲⢤⣄⣀⣀⠠⠔
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠻⣦⡀⠀⠀⠀⠣⠤⠤⠤⠤⠤⠤⠤⠇⠀⠀⢀⣼⣛⣹⠁⠀⠀⠀⠀⠀⠘⢦⡁⡑⢊⠂⡶⡵⠌⠂⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠻⣇⠀⢴⡆⠈⠻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢩⠶⣵⣬⣦⠀⠀⠀⠀⠀⠀⠈⠳⠀⠐⡀⢈⢂⡐⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠿⠙⠓⠨⣷⣌⠁⠀⠀⠙⠟⢿⣶⣦⣄⡀⠀⣀⠤⠒⠉⠀⠀⠀⢀⣸⣾⣿⠲⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠁⠈⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⣠⡆⠀⠀⠀⠙⢦⡀⠀⠀⠈⠢⡙⢿⣿⣿⣉⣀⣤⠤⢤⣾⠓⠊⢉⣾⣿⡏⠳⣤⡑⠢⣀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡠⠋⠒⠚⠛⠁⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠈⠢⣽⡇⠀⣸⠇⢀⡞⡼⢀⣷⡾⡇⢹⠻⡄⠑⠙⢦⣀⠉⠐⠂⠀⠤⠷⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡴⠁⡄⠀⠀⠀⡀⠄⠒⠉⠉⠉⠉⠚⢷⡀⠀⠀⠀⣿⢁⣰⢛⢀⡾⣹⣧⢿⢣⠇⣿⠘⡇⠘⡄⠀⠀⠉⠻⠗⣄⠀⠀⢀⡇⠀⠀⠀⠀
⠀⠀⠀⠀⡼⠁⡘⡇⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⢀⣾⣯⡜⠁⣿⣿⣧⡿⠋⣤⡿⢰⠃⠀⠑⠀⠈⠢⣄⠀⠀⠀⢀⡀⠔⠋⠀⠀⠀⠀⠀
⠀⠀⠀⣼⠁⢰⠀⣡⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⣯⣽⠋⣡⣾⠛⣹⡟⢀⣴⣿⠁⠀⠀⠀⢀⣀⠤⠔⠚⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣸⠃⢰⠈⢘⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⣸⡾⢻⡟⣸⡇⡁⢾⣿⣃⠤⠖⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢠⠇⠀⢸⡀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡹⣟⢴⣯⣓⠿⠖⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡜⠀⠀⠀⢣⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠵⠛⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⠃⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀