⣿⡿⣿⢿⡿⣿⢿⡿⣿⢿⡿⣿⢿⡿⣿⢿⡿⣿⢿⡿⣟⣿⣿⠟⠋
⣿⢿⣽⣟⣿⣽⣟⣿⣽⣟⣿⣽⣟⣿⣽⣟⣿⣽⣟⣿⣻⠟⠁
⣿⣟⡿⣾⣻⣾⢯⣿⣞⣯⣷⡿⣾⣟⣾⢯⣿⣞⡿⠚⠁
⣿⣯⢿⡿⣽⣯⡿⣷⣻⣯⣷⢿⣟⣾⣟⣿⠗⠋
⣿⣽⢿⣻⣯⣷⢿⣻⣽⡷⣿⢯⣿⣳⠟⠁
⣿⣯⣿⣯⣷⣯⣿⣽⣷⣿⢻⣿⠋⠀
⣿⣯⢿⣾⣻⣽⡷⣟⣷⣻⠏⠁
⣿⣽⣻⣽⣯⣷⢿⡻⠋⠀
⣿⣷⣻⢷⣻⠞⢋⣠⣴⣷⣾⣷⣄⣂⡀⢀⣤⣒⣶⣦⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣶⣶⣶⣶⣶⣿⣿⣿⣿⣟⠛⠚⠋⡁
⣿⣞⡿⠟⣡⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⢺⢿⣟⢛⣿⡿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣛⣟⣻⣻⡿⠏
⡿⠋⠀⠀⠁⣴⣿⣿⣿⡟⠋⠉⠀⠀⠉⠈⢯⣷⠌⣼⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀
⣦⠀⠀⠀⢠⣻⣿⣾⣿⣷⡄⠀⠀⠀⠀⠀⠀⢻⠞⡑⢦⢲⡖⠶⣶⣶⡶⣶⣶⣶⣾⣿⣿⣿⡟⠉
⣿⣻⣄⡀⣰⢿⡾⣕⣶⣿⢗⣄⠀⠀⠀⠀⣐⣿⢳⣼⡯⣗⡞⢂⡏⠆⠁⠉⠋⠛⠙⠋⠋⠛
⣟⡷⣭⡳⡏⢆⣻⣿⣿⢿⣾⣿⣷⣤⣶⣾⣿⣿⡣⣣⣿⣽⣿⢟⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⣽⢳⡽⣝⠺⣷⣭⣿⣿⣿⣿⣿⡽⣿⣿⣿⣿⣾⣿⣿⣟⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⢧⣟⡾⣽⢿⡵⣛⢿⣏⣟⣷⠛⢿⣻⠽⠯⠽⠝⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣻⢾⣽⣻⢷⣫⡽⣞⣳⢢⡀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣻⢿⣼⣻⢟⣧⢿⣛⡿⢧⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣽⣻⢮⣏⢿⣚⣯⢯⡽⣯⢿⣽⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣻⡞⣷⣘⢮⡽⣞⣯⢿⣽⣻⣞⣷⣻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣯⢷⣻⢧⣟⡾⣽⣛⣾⣻⣞⣷⣻⢾⣽⣻⣞⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⣯⢿⡽⣾⢽⣳⣟⣾⣳⣟⡾⣽⣻⣞⣷⣻⢾⣽⣻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡽⣯⢿⡽⣯⢷⣻⣞⡷⣯⣟⣷⣻⣞⡷⣯⣟⡾⣽⢯⣟⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀