.........................................⣠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⣄.............................................................
........................................ ....⢂⠏⡴⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣜⠳⡍⢢⠁....................................................
.............................................⠈⠘⡔⣫⢞⣤⣶⣾⣶⣿⣿⣷⣶⣶⣿⣿⣶⣿⣶⣍⡣⢈⠆⠁.............................................
.................................................⠘⣽⠿⠿⠿⣿⣯⣿⡿⣯⢿⣿⣿⣿⡯⢜⡱⢫⣿⠷⠯⣄..............................................
.................................................⢸⣽⠀⠀⡀⠀⠉⢷⣿⣿⣿⣿⣿⡿⣽⢪⣝⠋⡀⠀⠀⠸⠄..............................................
...............................................⢠⣾⠇⠀⠀⠀⠀⠀⣀⠻⣿⣿⣿⣿⣿⣽⣧⢇⠀⠀⠀⠀⠈⣆................................................
...............................................⣿⢿⣿⣦⣤⣤⣤⣶⣿⣷⣻⣟⣿⣿⣿⣿⣾⣏⡳⢶⣤⣴⣴⡣⠆........................................
............................................⢀⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⡟⣿⢻⠟⢷⠛⠝⠫⣟⠿⣭⡓⠆.........................................
..............................................⣿⣾⣟⡾⣽⢻⣿⣿⣿⣿⣿⠳⠉⠆⢉⠈⠄⠂⠈⠀⢈⣿⣲⠹.............................................
..............................................⣿⣷⣏⣞⡽⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⣈⡷⣭⢳⡄.............................................
..............................................⣿⣿⣾⡽⣾⣿⣿⠿⡿⢛⠏⢯⡙⠲⡀⠀⠀⠀⢀⠰⡈⡑⠎⡹..............................................
...........................................⣠⣾⣿⣿⣿⣿⣿⣏⣏⠳⡑⢊⠜⠠⠈⠁⠐⠀⠀⠀⠀⠂⠐⠀⠂⠡⠁..........................................
........................................⢠⣿⣿⣿⣿⣿⣿⣿⣿⣮⡱⣀⠂⡈⠀⠠⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈..................................................
........................................⣾⣿⣿⣿⣿⣿⣿⣿⣿⣳⢿⡱⢃⠤⠁⡀⠀⠀⠀⠀⢀⠈⢀⠈....................................................
........................................⣿⣿⣿⣿⣿⣟⡻⣝⠞⣭⠲⡉⢋⠤⢁⠀⠈⠀⠄⠁⠀⠀⡀⠠⠀..................................................