.*. ⠀⠀ ⠀⠀⡠⠖⠁⠀⠀⠀⠀⠀⠁⠢⡈⠲⣄⠀⠀
⠀⠀⠀⠀⠀⡜⠁⠀⢀⠁⠀⠀⠈⢁⠀⠔⠀⠄⠈⢦⠀
⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⡄
⠀⠀⠀⠀⠀⣦⡇⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⢸⣴⠁
⠀⠀⠀⠀⠀⢹⡧⠄⠀⠀⢉⠐⠒⠀⡉⠁⠀⠢⢼⡇⠀
⠀⠀⠀⠀⠀⢸⢸⣟⠛⣿⣦⠑⠀⠊⣴⠿⣿⣿⡏⡇⠀
⠀⠀⠀⠀⠀⠘⢮⢻⣿⣿⣿⡇⠀⢸⣿⣾⣿⣟⡴⠁⠀
⡤⠄⠀⡖⢢⠀⠈⢳⡈⠙⠛⢁⠀⡈⠛⠋⣁⡞⠁⠀⠀
⠱⡸⡀⡕⡎⠀⠀⠀⠳⣄⠀⠉⠀⠉⠀⣠⠟⠀⠀⠀⠀
⠀⢣⢣⡇⡇⠀⠀⠀⠀⠈⢧⡀⠒⢈⡼⠁⠀⠀⠀⠀⠀
⢴⢺⣃⡒⠣⡀⠀⠀⠀⠀⠸⣿⠲⣿⠇⠀⠀⠀⠀⠀⠀
⠈⠣⡹⠉⢀⠃⠀⢀⣀⡠⠜⡙⣀⢛⠣⢄⣀⡀⠀⠀⠀
⠀⠀⠑⡏⣹⠀⢸⠇⢀⠀⠉⠀⣀⠀⠁⠀⡄⠸⡆⠀⠀
⠀⠀⠀⢁⠀⢇⡸⢀⣨⡀⠀⠀⢀⠀⠀⢀⣅⠀⡇
⣿⡇⠀⣿⣿⠀⢠⣿⣿⡆⠀⢻⣷⠀⣿⡏⢸⣿⠿⠇⠀⠀⠀⢰⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⠿⣿⣿⠀⣼⣏⣸⣷⠀⠘⣿⣴⡿⠀⢸⣿⠿⠇⠀⠀⢀⣿⣇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠇⠀⣿⣿⠰⠿⠋⠉⠿⠆⠀⠹⠿⠃⠀⠸⠿⠿⠗⠀⠀⠸⠿⠉⠙⠿⠄⠀⠀⠀⠀⠀⠀⠀
⣿⣷⡀⢸⣿⠀⣿⡇⢀⣶⡿⠿⠆⢸⣿⠿⠇⠀⠀⢸⣿⠿⣷⣦⠀⠀⣾⣿⣆⠀⠸⣿⣄⣾⠇
⣿⡟⢿⣾⣿⠀⣿⡇⢸⣿⡀⠀⠀ ⢸⣿⠿⠇⠀⠀⢸⣿⠀⢸⣿⠀⣸⣿⣸⣿⡀⠀⢻⣿⠏⠀
⠿⠇⠈⠻⠿⠀⠿⠇⠈⠻⠿⠿⠇⠸⠿⠶⠆⠀⠀⠸⠿⠿⠿⠋⠀⠿⠏⠉⠿⠇⠀⠸⠿
╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸ ⎠╱ ╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸ ⎠╱ ╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸ ⎠╱ ╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸⎠╱⧸⎠╱╲⎝⧹╲⎝⧹⧸