Я всё не могу закончить один маленький рисунок, ну и подумал - почему бы не выложить его в таком виде?
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣶⢤⣤⣤⣤⣤⣤⣤⣶⠶⠶⠶⠾⠶⠾⠶⣶⣦⣤⣀⡀⠘⣯⢳⣆⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣙⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣿⡀⢹⣧⣠⣴⠶⠶⠶⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡾⠟⠛⠉⠁⠉⠙⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⢠⡟⠉⠀⢀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⣀⣀⡴⠚⠛⠓⣦⣀⡀⠀⠲⣄⠘⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡀⠀⠀⠀⢠⠆⠀⠀⠀⠀⣠⡿⠀⠀⠀⣠⣾⡏⠀⠀⢠⡾⠋⠉⠳⢲⡶⠏⣍⠉⠙⣧⠀⠙⣷⣽⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡁⠀⣸⠃⠀⠀⢠⠏⠀⠀⣀⣴⠿⣿⠃⢀⣴⡾⠋⢸⡇⠀⣰⡟⠁⢀⡴⣟⢿⣽⣯⡟⢷⢦⠹⡆⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⡏⠀⢠⠃⠀⠀⠀⡀⠀⠀⠀⠀⢀⣿⡄⢀⣿⠀⠀⢀⡟⢀⣴⡿⠋⠁⣼⣣⠞⠛⠁⠀⠀⠘⣇⡾⢻⠁⠀⣟⢸⢸⠈⠳⣛⡮⡼⣼⢣⣧⠀⠀⢿⡈⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡟⢀⣼⠋⢠⠀⠀⠀⢰⠀⠀⠀⢠⣿⣿⢀⡞⣿⠀⠀⢸⢧⡞⠁⠀⠀⠊⠁⠀⢀⠀⠀⠀⠀⠀⠘⠅⠸⣆⠀⢹⠈⠻⡉⠉⠉⡰⢫⡞⠸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀
⠀⢀⣾⣴⢿⡏⠀⣾⠀⠀⢀⣿⡆⠀⢀⣿⠃⠸⡟⠀⢿⡀⢀⢿⡎⠀⠀⠀⠀⣠⡴⠋⠉⠉⠉⠓⠒⠦⣄⣀⠀⠹⣆⠀⡐⢤⣬⣕⡿⠒⣁⣤⠞⠀⢰⡄⠸⣇⠀⠀⠀⠀⠀⠀
⠀⠘⠉⠀⢸⡇⠀⢽⡄⢀⣾⠏⣷⡀⢸⡇⠀⠀⠈⠀⠘⡇⡞⠀⠃⠀⠀⣠⣾⠷⠶⠛⠛⠛⠛⠙⠛⠛⠓⠮⢽⣦⣽⢿⡿⣿⣥⣀⣀⣩⠞⠁⠀⠀⠀⢿⣄⢿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⡇⢀⣿⣧⣾⠃⢀⡼⢷⣸⣙⣲⣄⠀⠀⠀⢹⠁⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⡜⢹⡟⠀⠈⢻⠛⢩⠇⠀⠀⠀⠀⠀⢸⡟⠾⣧⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣇⣾⡷⢟⣧⠀⡞⣰⠞⠻⢏⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣖⣿⣿⣿⢿⣿⡿⣿⣿⣿⡇⠀⠀⣸⢢⣟⠀⣀⣤⢤⡄⠀⠘⣿⠀⠉⠙⠀⠀⠀⠀
⠀⠀⠀⠀⢠⡿⢹⡇⠀⣿⣴⡿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⣰⡿⢻⣓⢣⣇⡈⢻⡈⠹⣿⣿⡀⢀⡧⠀⠹⣶⢋⣤⣄⠹⣧⠀⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣷⢀⣿⣿⡇⢀⣀⣤⣶⣶⣶⡂⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⡟⠀⠹⡎⠸⣿⡟⢹⡇⠀⢸⠏⢻⡟⠐⡄⠀⢻⡟⠀⠘⢷⠹⣇⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⣧⣇⠨⣿⣽⣿⠋⠡⣿⣹⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠂⠀⠀⢙⣶⠀⠀⢰⠁⢀⣊⡠⣾⠃⠀⢱⠲⣼⣧⠤⡀⠀⡇⣿⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⠐⠚⣿⣯⠀⠀⢻⠨⢿⣿⠙⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣀⣴⠿⠋⠀⢹⡇⠀⢸⠀⠙⣯⠀⢹⠰⢣⡟⢹⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⣿⢇⠀⠈⢓⣎⠉⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⠴⠒⡛⡽⠁⢀⠄⠂⠈⢿⡄⢸⢧⡀⠹⣇⠀⢀⡿⢧⡈⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠑⢄⠀⠈⠒⢊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢐⢩⡊⠔⠈⠀⠀⠀⠀⠈⢻⡟⠀⠙⡶⣿⣠⠟⠀⠀⠙⠺⣇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠙⠛⢛⠛⢁⠄⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⢳⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠠⠊⠠⠀⠁⠀⣰⠋⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣤⡀⠀⠀⠀⠀⠀⠀⣰⢿⣆⠀⣸⢄⡀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠻⣵⣜⢝⡽⠟⠈⠀⠀⠀⠀⠀⠀⣠⡶⣿⠏⠀⠀⠀⠀⠀⠀⢠⡟⠀⢹⣿⣿⠀⠈⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⣀⡠⠴⠛⠉⣴⠏⠀⠀⠀⠀⠀⢀⣰⣿⠀⠀⡾⠀⢿⣆⠀⠀⢹⣧⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⠠⢤⣤⠦⠶⠒⠚⠉⠁⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⣠⣾⡿⠀⡇⢸⠃⠀⠀⠛⢶⣤⢖⣡⡷⠦⣄⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣼⣿⣦⣀⠀⠀⠀⠈⠷⡄⠀⠀⠀⣀⣤⠞⠉⠀⠀⠀⠀⠀⢀⣴⢫⣿⣿⢠⡟⣼⡄⠀⠀⠀⠀⢻⣿⠛⠚⢔⢌⠻⣦⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠿⠛⠉⠉⠉⠉⠛⠻⢶⣄⠀⠀⠙⠒⠒⠋⢉⡀⠀⠀⠀⠀⠀⣀⡶⠛⠀⣾⠇⣿⠞⠀⠈⠇⠀⠀⠀⠀⣿⢹⡀⠀⠀⠁⠱⡘⣧⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣤⡀⠈⠛⠛⠋⠀⠀⠀⢀⣤⠞⠋⠀⠀⣼⣏⣐⡋⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠣⡵⡀⠀⠀⢳⢹⡆⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣦⣤⣀⣀⣀⣤⠾⠋⠁⠀⠀⠀⣸⠏⠉⠉⠛⠻⢶⣤⡀⠀⠀⠀⠀⠈⢷⡀⠐⣜⣄⠀⠀⣿⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢿⡛⠛⠉⠀⠀⠀⠀⠀⠀⣸⠏⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠈⠻⣆⠈⡎⡆⠀⡿⠓⠂
⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⡇⠻⣦⡀⠀⡆⠀⠀⠀⣼⣏⡆⠀⠀⠀⠀⠀⠀⠀⠈⢻⡆⠀⠀⠀⠀⠀⠈⢧⢸⢴⣸⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⠀⠈⠳⣄⠸⡀⠀⣼⠃⢹⡸⡀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠸⣼⣿⠋⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡃⠀⠀⠉⠳⢇⡼⠁⠀⣀⣧⣣⣀⣀⣀⣤⣤⣤⣤⣠⡇⠀⠀⠀⠀⠀⠀⢸⠋⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⡏⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡇⠀⠀⠀⠀⠀⠀⢠⣞⠫⠭⢍⣉⣉⣁⣀⣀⡀⠈⠙⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⢸⡇⠀⠀⠀⠀⠀⠀⢠⡿⢷⣤⣄⡀⠀⠀⠀⠀⠉⠑⠢⢄⡀⠈⠙⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣼⠇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢰⡇⠀⠀⠀⠀⠀⠀⠀⠙⢧⣄⡀⠉⠉⠓⠒⠲⣤⡀⠀⠀⠈⠑⠢⣄⠈⢷⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⡿⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠹⣏⡙⠓⠶⣤⣀⡀⠀⠉⠳⢤⡀⠀⠀⠈⠷⢸⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⠇⠀⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣄⡀⠈⠛⢦⣄⠀⠀⠉⠳⢤⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⡿⠀⠀⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⣸⠇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⣷⣄⠀⠈⠳⣤⡀⠀⠀⠳⠀⠀⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣼⠇⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⣸⠏⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⢹⢹⢷⡄⠀⠈⠛⣦⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣿⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡏⠸⡇⣼⠏⠀⠀⠀⠻⢧⣄⠀⠀⠀⠀⠀⢢⠀⠀⠀⠀⠀⠀⢻⡀⢿⢠⣿⣆⠀⠀⠈⠃⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀
⠀⠀⣸⡏⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠈⠙⠶⣤⠀⠀⠈⢧⠀⣠⠎⠀⠀⢸⡇⠸⣼⡇⠈⠃⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀
⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠷⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⡄⠘⡾⠁⠀⠀⢀⣼⠇⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀
⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣷⢀⣠⣶⠟⠁⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⣽⡏⠀⠀⠀⠀⠀⠀
⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡛⠉⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀
⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠅⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢄⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀
⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠰⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠈⠳⢆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡿⠁⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣀⣠⣴⠟⢋⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢩⣿⠟⠋⠉⢀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣶⢤⣤⣤⣤⣤⣤⣤⣶⠶⠶⠶⠾⠶⠾⠶⣶⣦⣤⣀⡀⠘⣯⢳⣆⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣙⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣿⡀⢹⣧⣠⣴⠶⠶⠶⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡾⠟⠛⠉⠁⠉⠙⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⢠⡟⠉⠀⢀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⣀⣀⡴⠚⠛⠓⣦⣀⡀⠀⠲⣄⠘⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡀⠀⠀⠀⢠⠆⠀⠀⠀⠀⣠⡿⠀⠀⠀⣠⣾⡏⠀⠀⢠⡾⠋⠉⠳⢲⡶⠏⣍⠉⠙⣧⠀⠙⣷⣽⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡁⠀⣸⠃⠀⠀⢠⠏⠀⠀⣀⣴⠿⣿⠃⢀⣴⡾⠋⢸⡇⠀⣰⡟⠁⢀⡴⣟⢿⣽⣯⡟⢷⢦⠹⡆⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⡏⠀⢠⠃⠀⠀⠀⡀⠀⠀⠀⠀⢀⣿⡄⢀⣿⠀⠀⢀⡟⢀⣴⡿⠋⠁⣼⣣⠞⠛⠁⠀⠀⠘⣇⡾⢻⠁⠀⣟⢸⢸⠈⠳⣛⡮⡼⣼⢣⣧⠀⠀⢿⡈⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡟⢀⣼⠋⢠⠀⠀⠀⢰⠀⠀⠀⢠⣿⣿⢀⡞⣿⠀⠀⢸⢧⡞⠁⠀⠀⠊⠁⠀⢀⠀⠀⠀⠀⠀⠘⠅⠸⣆⠀⢹⠈⠻⡉⠉⠉⡰⢫⡞⠸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀
⠀⢀⣾⣴⢿⡏⠀⣾⠀⠀⢀⣿⡆⠀⢀⣿⠃⠸⡟⠀⢿⡀⢀⢿⡎⠀⠀⠀⠀⣠⡴⠋⠉⠉⠉⠓⠒⠦⣄⣀⠀⠹⣆⠀⡐⢤⣬⣕⡿⠒⣁⣤⠞⠀⢰⡄⠸⣇⠀⠀⠀⠀⠀⠀
⠀⠘⠉⠀⢸⡇⠀⢽⡄⢀⣾⠏⣷⡀⢸⡇⠀⠀⠈⠀⠘⡇⡞⠀⠃⠀⠀⣠⣾⠷⠶⠛⠛⠛⠛⠙⠛⠛⠓⠮⢽⣦⣽⢿⡿⣿⣥⣀⣀⣩⠞⠁⠀⠀⠀⢿⣄⢿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⡇⢀⣿⣧⣾⠃⢀⡼⢷⣸⣙⣲⣄⠀⠀⠀⢹⠁⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⡜⢹⡟⠀⠈⢻⠛⢩⠇⠀⠀⠀⠀⠀⢸⡟⠾⣧⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣇⣾⡷⢟⣧⠀⡞⣰⠞⠻⢏⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣖⣿⣿⣿⢿⣿⡿⣿⣿⣿⡇⠀⠀⣸⢢⣟⠀⣀⣤⢤⡄⠀⠘⣿⠀⠉⠙⠀⠀⠀⠀
⠀⠀⠀⠀⢠⡿⢹⡇⠀⣿⣴⡿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⣰⡿⢻⣓⢣⣇⡈⢻⡈⠹⣿⣿⡀⢀⡧⠀⠹⣶⢋⣤⣄⠹⣧⠀⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣷⢀⣿⣿⡇⢀⣀⣤⣶⣶⣶⡂⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⡟⠀⠹⡎⠸⣿⡟⢹⡇⠀⢸⠏⢻⡟⠐⡄⠀⢻⡟⠀⠘⢷⠹⣇⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⣧⣇⠨⣿⣽⣿⠋⠡⣿⣹⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠂⠀⠀⢙⣶⠀⠀⢰⠁⢀⣊⡠⣾⠃⠀⢱⠲⣼⣧⠤⡀⠀⡇⣿⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⠐⠚⣿⣯⠀⠀⢻⠨⢿⣿⠙⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣀⣴⠿⠋⠀⢹⡇⠀⢸⠀⠙⣯⠀⢹⠰⢣⡟⢹⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⣿⢇⠀⠈⢓⣎⠉⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⠴⠒⡛⡽⠁⢀⠄⠂⠈⢿⡄⢸⢧⡀⠹⣇⠀⢀⡿⢧⡈⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠑⢄⠀⠈⠒⢊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢐⢩⡊⠔⠈⠀⠀⠀⠀⠈⢻⡟⠀⠙⡶⣿⣠⠟⠀⠀⠙⠺⣇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠙⠛⢛⠛⢁⠄⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⢳⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠠⠊⠠⠀⠁⠀⣰⠋⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣤⡀⠀⠀⠀⠀⠀⠀⣰⢿⣆⠀⣸⢄⡀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠻⣵⣜⢝⡽⠟⠈⠀⠀⠀⠀⠀⠀⣠⡶⣿⠏⠀⠀⠀⠀⠀⠀⢠⡟⠀⢹⣿⣿⠀⠈⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⣀⡠⠴⠛⠉⣴⠏⠀⠀⠀⠀⠀⢀⣰⣿⠀⠀⡾⠀⢿⣆⠀⠀⢹⣧⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⠠⢤⣤⠦⠶⠒⠚⠉⠁⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⣠⣾⡿⠀⡇⢸⠃⠀⠀⠛⢶⣤⢖⣡⡷⠦⣄⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣼⣿⣦⣀⠀⠀⠀⠈⠷⡄⠀⠀⠀⣀⣤⠞⠉⠀⠀⠀⠀⠀⢀⣴⢫⣿⣿⢠⡟⣼⡄⠀⠀⠀⠀⢻⣿⠛⠚⢔⢌⠻⣦⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠿⠛⠉⠉⠉⠉⠛⠻⢶⣄⠀⠀⠙⠒⠒⠋⢉⡀⠀⠀⠀⠀⠀⣀⡶⠛⠀⣾⠇⣿⠞⠀⠈⠇⠀⠀⠀⠀⣿⢹⡀⠀⠀⠁⠱⡘⣧⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣤⡀⠈⠛⠛⠋⠀⠀⠀⢀⣤⠞⠋⠀⠀⣼⣏⣐⡋⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠣⡵⡀⠀⠀⢳⢹⡆⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣦⣤⣀⣀⣀⣤⠾⠋⠁⠀⠀⠀⣸⠏⠉⠉⠛⠻⢶⣤⡀⠀⠀⠀⠀⠈⢷⡀⠐⣜⣄⠀⠀⣿⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢿⡛⠛⠉⠀⠀⠀⠀⠀⠀⣸⠏⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠈⠻⣆⠈⡎⡆⠀⡿⠓⠂
⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⡇⠻⣦⡀⠀⡆⠀⠀⠀⣼⣏⡆⠀⠀⠀⠀⠀⠀⠀⠈⢻⡆⠀⠀⠀⠀⠀⠈⢧⢸⢴⣸⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⠀⠈⠳⣄⠸⡀⠀⣼⠃⢹⡸⡀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠸⣼⣿⠋⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡃⠀⠀⠉⠳⢇⡼⠁⠀⣀⣧⣣⣀⣀⣀⣤⣤⣤⣤⣠⡇⠀⠀⠀⠀⠀⠀⢸⠋⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⡏⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡇⠀⠀⠀⠀⠀⠀⢠⣞⠫⠭⢍⣉⣉⣁⣀⣀⡀⠈⠙⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⢸⡇⠀⠀⠀⠀⠀⠀⢠⡿⢷⣤⣄⡀⠀⠀⠀⠀⠉⠑⠢⢄⡀⠈⠙⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣼⠇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢰⡇⠀⠀⠀⠀⠀⠀⠀⠙⢧⣄⡀⠉⠉⠓⠒⠲⣤⡀⠀⠀⠈⠑⠢⣄⠈⢷⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⡿⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠹⣏⡙⠓⠶⣤⣀⡀⠀⠉⠳⢤⡀⠀⠀⠈⠷⢸⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⠇⠀⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣄⡀⠈⠛⢦⣄⠀⠀⠉⠳⢤⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⡿⠀⠀⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⣸⠇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⣷⣄⠀⠈⠳⣤⡀⠀⠀⠳⠀⠀⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣼⠇⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⣸⠏⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⢹⢹⢷⡄⠀⠈⠛⣦⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣿⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡏⠸⡇⣼⠏⠀⠀⠀⠻⢧⣄⠀⠀⠀⠀⠀⢢⠀⠀⠀⠀⠀⠀⢻⡀⢿⢠⣿⣆⠀⠀⠈⠃⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀
⠀⠀⣸⡏⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠈⠙⠶⣤⠀⠀⠈⢧⠀⣠⠎⠀⠀⢸⡇⠸⣼⡇⠈⠃⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀
⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠷⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⡄⠘⡾⠁⠀⠀⢀⣼⠇⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀
⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣷⢀⣠⣶⠟⠁⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⣽⡏⠀⠀⠀⠀⠀⠀
⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡛⠉⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀
⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠅⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢄⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀
⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠰⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠈⠳⢆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡿⠁⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣀⣠⣴⠟⢋⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢩⣿⠟⠋⠉⢀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀