Telemedicine Emojis & Symbols

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠿⠟⠉⠈⠻⢿⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣄⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣠⣤⣤⣤⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠛⠛⠛⠋⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠙⠛⠛⠛⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⣼⣿⣿⣆⠀⠀⠀⠀⠀⠀⣰⣿⣿⣧⠀⠀⠀⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠘⠛⠛⠛⠛⠓⠢⠤⠤⠔⠚⠛⠛⠛⠛⠃⠀⠀⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⢀⡀⣴⣶⣷⣦⡀⢀⣴⣾⣶⡆⣄⡀⠀⠀⠀⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⣰⣾⣿⠇⢿⣿⣿⣿⣿⣿⣿⣿⢿⣃⢿⣿⣷⣆⠀⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢀⣿⣿⣿⣜⣣⣿⣿⣿⣿⣿⣿⣯⣿⣿⠓⠿⡟⣿⡄⠀⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠿⠭⠭⠿⠿⠅⠀⣿⡇
⠀⠀⠀⠀⠀⠀⢀⣀⣼⣿⣄⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣠⣿⣧⣀⡀
⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣭⣭⣬⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢿⡿⣛⡻⣿⢟⣛⢿⣿⣫⣶⣶⣶⣭⡛⠀⣠⣴⣶⣶⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣸⣟⠿⢇⣿⡸⠿⣫⡇⣿⣿⣿⣿⡿⢿⣾⣿⣿⣿⣿⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣵⡞⡟⣭⣭⣭⣭⣭⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣛⢛⣿⣿⣿⣿⣿⣷⣝⢿⣿⣿⣿⣰⣿⣿⣿⠟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣭⣭⣭⣬⣭⣭⣭⣟⢿⣿⣿⣷⣝⡻⣿⣿⣿⠟⠁⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠿⣿⣿⣿⣿⣮⠋⠀⠱⡄⠈⢧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣴⣽⣿⣿⣿⣴⣽⣿⡇⡇⣿⡇⣿⢻⣿⠀⠀⠀⢳⠀⢸⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠗⣿⣇⣿⣸⣸⠀⠀⢀⡞⠀⣸⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣮⣭⣾⣿⣿⣿⣇⣿⣿⣿⣿⡿⠿⠠⠖⠋⢀⡴⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣭⣭⣭⣭⣭⣭⣭⣭⡾⢟⣯⣵⣶⣿⠿⠠⠴⠒⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠿⠿⠿⠿⣫⣾⣿⡿⣛⣭⣶⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⣿⣿⣿⡇⣿⣿⢫⣾⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣛⣛⣃⣛⣛⣛⣃⣛⣃⣛⣛⣛⣛⣛⣛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⠤⠤⠤⠤⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⢠⡄⠀⠀⠀⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠋⢧⣀⣠⣤⢤⣤⣀⡼⠙⢆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣠⠖⠲⠤⠤⠴⠶⠦⣄⠀⠘⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⡇⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠤⠤⠤⠤⠀⠀⠳⡹⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⢏⠞⠀⠀⠤⠤⠤⠤⠤⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⠒⠒⠂⠀⠀⠀⠀⢳⡹⡖⠒⠋⠉⠉⠙⠒⢲⠏⡞⠀⠀⠀⠀⠐⠒⠒⡆⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⠀⠀⠀⠀⠀⠀⠀⠀⢳⡇⠀⣙⣛⣛⣋⡁⢸⡞⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠦⣍⣉⣉⣩⠴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠻⣄⠀⠈⠁⠀⣠⠟⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⣠⠴⠚⠉⢹⠀⠀⠀⠈⠳⣄⣠⠞⠁⠀⠀⠀⡏⠉⠓⠦⣄⡀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢀⡎⠀⠀⠀⢠⠞⠢⡀⠀⠀⠀⠈⠁⠀⠀⢠⠖⠛⠓⢄⠀⠀⠀⢱⡀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠁⠀⠀⠀⠸⣄⡤⠃⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⢸⠆⠀⠀⠈⡇⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠰⠼⠀⠀⠀⠀⢷⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢳⣄⣀⣀⣀⣀⣀⣀⣀⡞⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢻
⠀⠀⠀⠀⠀⠀⠀⠀⢧⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡼

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠖⠶⢦⡀⠀⠀⠀⢠⡞⠉⠉⠉⣉⣉⣉⣉⣉⠉⠉⠉⠙⢷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⢻⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⢀⣠⠟⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣬⣭⣭⣥⣤⣄⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⢀⡴⣚⣒⠆⠈⢷⠀⢸⡇⠀⠀⢸⠛⠀⠀⠀⠘⢻⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡀⢿⢸⣁⣸⠷⠶⠶⢤⡘⠁⠀⠀⢸⡄⠀⠀⠀⠀⣿⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠈⠳⠯⠵⠂⠀⢸⠀⢣⠀⠀⠀⠀⠳⣄⣀⣀⡼⠃⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⣦⠀⢸⠀⠈⠓⠶⣄⠀⠀⠀⢹⠁⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⣀⡇⠀⢸⠀⠀⣿⠀⣼⠀⢰⡄⠀⠘⣇⠀⠀⣸⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⡇⠀⢸⠀⠀⣿⠉⠁⠀⢸⡇⠀⠀⠈⠓⠚⠁⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⣿⠀⠀⠀⢸⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⣿⠀⠀⠀⠸⣏⠉⠉⠉⠉⠉⢹⠍⠉⠉⠀⠀⢀⡹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠞⠦⠴⠃⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁





⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⡋⡋⣙⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⡶⠛⠛⠛⠛⠛⠛⠙⠛⠛⠉⠛⠛⠛⠛⠋⠉⠉⠓⠉⠙⠛⠛⠉⠛⠋⠉⠛⠛⠓⠛⠛⠛⠛⠛⠒⠚⠛⠛⢢
⠀⠀⠀⠀⠀⠀⠀⡇⠀⡟⠓⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠚⠛⠓⣒⣊⣐⡛⠛⠛⠛⠛⠓⠛⠓⠚⠓⠛⠓⠒⠒⠒⠛⢳⠀⣼
⠀⠀⠀⠀⠀⠀⠀⡗⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿
⠀⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿
⠀⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿
⠀⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿
⠀⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠻
⠀⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡃⠀⠀⠀⠀⠀⠀⢹⠃
⠀⠀⠀⠀⠀⠀⠀⡇⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⡀⠀⠀⢀⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⣷⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⠓⠚⠉
⠀⠀⠀⠀⠀⠀⠀⡯⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢴⡖⠛⢯⠀⢀⣲⣖⠀⢀⡟⠐⣦⠄⢀
⠀⠀⠀⠀⠀⠀⠀⡧⠀⡇⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠙⣆⠘⣷⠛⣧⡾⠛⣿⢁⡞⠁⠀⠀⠣
⠀⠀⠀⠀⠀⠀⠀⡇⠀⠧⣤⣤⢤⢤⣀⢀⣀⣿⣤⣤⣤⣤⣬⣷⣽⣶⣷⣴⣴⣷⣯⣤⣤⣤⣤⣤⡇
⠀⠀⠀⠀⠀⠀⠀⢧⣄⣤⣄⣠⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠦⠤⠆⠶⠤⠦⠶⠶⠤⠶⠶⠶⠶⠶⠶⠶⠶⠾⢯⡉⠙⣧⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠈⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠲⠶⠶⠶⠶⠶⠶⠶⢶⣦⡖⠒⠲⠲⠲⠒⠒⠒⠶⠶⠶⠖⠲⠖⠚⠇⠀⠙⢦
⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣄⣀⣤⣄⣀⣠⣄⣤⣤⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄
⣴⠧⠶⠶⠦⠶⠶⠶⠦⠶⠶⠤⠤⠴⠤⠤⠤⠦⠶⠶⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠄⠙
⣻⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣦⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣠⣀⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⠟⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠋⠉⠉⠉⠳⢤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠉⠀⠀⠀⠀⠀⠀⠀⠱⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢠⠞⠉⠙⠒⠋⠉⠓⢦⠀⢹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡾⠀⠀⠀⠀⠀⠀⠀⠈⢧⣼
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠰⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠆⢀⣀⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡴⠴⠦⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠤⠴⢦⠘⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠇⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠸⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡶⣄⣀⣀⣠⢶⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣀⣤⠴⠚⢧⡀⠀⠀⢀⡼⠓⠦⣤⣀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⡴⠚⠋⠁⣿⠀⠀⠀⠙⢦⡴⠋⠀⠀⠀⣿⠈⠙⠓⢦⡀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡞⠀⠀⠀⣾⠉⢳⠀⠀⠀⠀⠀⠀⢀⡔⠋⠙⢲⡀⠀⠀⢳⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢰⡇⠀⠀⠀⠘⠓⠋⠀⠀⠀⠀⠀⠀⢸⣁⠀⠀⢸⡇⠀⠀⢸⡆⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠛⠁⠀⠀⠀⠃⠀⡇
⠀⠀⠀⠀⠀⠀⠀⢠⡶⠾⠶⠶⠶⠶⠶⠶⠶⠶⠶⣄⣀⣀⣀⣀⣀⣀⣠⠶⠶⠶⠶⠶⠶⠶⠶⠶⠷⢶⡄
⠀⠀⠀⠀⠀⠀⠀⠘⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣉⣉⣉⣉⣉⣉⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉

⠀⠀⠀⠀⠀⠀⢰⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢿⣧
⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣶⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣘⣋⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠈⠙⠛⠛⠋⠁⢹⡇
⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⣤⣤⡀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⢸⣿⣿⣿⡿⢰⣦⣄⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⣿⣿⡇⠀⢸⡇
⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡟⠈⣻⣿⠣⣾⣷⢹⣿⣇⠀⠀⠀⠀⠀⠀⢸⡇⠀⣉⣿⣿⣉⠀⢸⡇
⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣾⣿⣧⣼⣿⡿⠀⠀⠀⠀⠀⠀⢸⡇⠿⠿⠿⠿⠿⠿⢸⡇
⠀⠀⠀⠀⠀⠀⢸⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⡇⠀⠀⠀⠀⠀⠀⢸⡇
⠀⠀⢠⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣛⣛⣛⣛⣛⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉

⠀⠀⠀⣤⣤⣄⢛⣚⠛⠀⠀⠀⡀⣿⡽⠦⠶⢦⣤⢀⠀⠀⠀⣹⣝⣻⣿⣿⣻⣯⣽⡃⠀⠀⠀⠀⠀⢀⣺⣯⣹⣇⡀⠀⠀⢠⡽⠿⠯⣽⡅
⢸⣿⡿⣇⣹⣿⣶⣭⡀⠀⠀⢸⣿⢿⣜⢛⡽⣣⡿⣿⡇⠀⢈⢱⡒⡆⣶⣶⠶⠶⣶⡇⠀⠀⣶⠖⣒⠲⣶⣿⢗⡺⡇⠀⠀⢸⣮⣧⣯⣿⡘⣓⡛
⠈⢡⡦⠶⣶⡂⢲⠈⠀⠀⠀⢸⡟⣧⣶⠶⠶⣶⠞⢿⡇⠀⠐⢫⣿⣵⣧⣿⣚⣒⣿⡇⠀⠀⣿⣘⠿⣢⣿⣿⠻⠿⡇⠀⠀⢈⢸⡷⠶⣶⡏⠈
⠀⠠⣝⣋⣿⢟⢯⠀⠀⠀⠀⢨⣿⣿⣭⣿⣿⣯⣿⣿⡅⠀⠰⣮⢍⣊⢍⣊⢍⣊⢵⡇⠀⠀⠉⠉⠉⠉⢑⣛⣙⡛⠃⠀⠀⠘⣚⣛⣋⣛⡃
⠀⠈⠛⠛⠛⠓⠛⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠂⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠙⠓⠒⠃⠀⠀⠀⠈⠛⠛⠚⠛⠃
⠀⠀⠀⣤⣤⣤⣤⠤⢤⡀⠀⠀⡀⡀⡀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⢤⣢⡤⡀⠀⠀⠀⠀⠠⠤⣤⣤⣤⣤⣤⠤
⢠⣤⡄⣿⣥⣾⣟⣻⣿⠇⠀⢰⡶⣒⢦⡘⠟⠂⢠⡄⠀⠀⠀⢀⣀⡐⠶⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠑⣖⠋⠀⠀⠀⠀⠀⡼⣛⣊⢿⡟⣛⣛⢻
⢸⡟⢻⣶⣒⣒⣒⣲⠂⠀⠀⢸⣯⣭⡺⣿⠀⠀⣴⢦⠀⠀⠀⣉⣀⠀⠀⢀⣀⣁⣀⣀⠀⠀⠀⠀⠀⣤⣭⣤⠀⠀⠀⠀⠀⠁⠯⠽⢸⣿⠿⢯⡟
⠸⠶⠶⠿⠿⠿⠷⠾⠂⠀⠀⢸⣿⣷⣹⣦⠘⠁⠿⢯⠃⠀⠸⢿⠹⠀⠀⢸⡏⠎⣿⣿⠀⠀⢀⣤⣀⣔⢖⣤⣀⣠⡀⠀⠀⣿⡗⣾⣟⣛⣛⣻⡇
⠘⠛⠛⢛⣛⠛⠛⠛⠀⠀⠀⢨⣿⣟⣿⣿⠀⠀⢻⡇⠀⠀⠠⣟⣷⠀⠀⣹⣾⣛⣞⣟⠀⠀⢸⣿⣿⣇⣻⣿⣿⣗⡅⠀⠀⣿⣧⣿⣭⣯⣯⣾⣇
⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠉⠁⠈⠉
⠐⢶⡲⠶⠶⠶⠶⠶⠶⠀⠀⠠⣴⣶⣶⠀⠤⡄⠀⠀⠀⠀⠀⠀⠀⠶⢶⠶⠀⠀⠀⠀⠀⠀⡶⠶⣶⠀⠀⠀⣀⢀⡀⠀⠀⠀⠰⠒⠒⠀⣶⡖⢲
⢸⢿⣻⡏⡿⣯⣿⣿⢿⡆⠀⠀⠈⠉⠁⢠⣤⣤⣤⠀⠀⠀⢐⣿⣿⣷⣭⢞⣿⣿⡛⡇⠀⠀⠻⠟⠫⣶⡆⠈⠩⡭⠁⠀⠀⣴⣦⣶⣆⠀⠿⠶⠶
⢸⣿⣶⣤⢛⠏⣼⣾⣿⡃⠀⠀⣿⠿⣿⢸⣦⠎⢿⡇⠀⠀⠀⢲⣮⣵⣆⣽⠿⢭⣗⡇⠀⠀⠀⢀⣘⢿⣃⡀⠀⠀⠀⠀⠀⠀⢰⢠
⢸⣶⣯⢹⣚⢿⢣⣷⣾⠃⠀⠀⣟⣬⣽⣜⣛⣛⣚⣽⠀⠀⢈⣧⣬⣤⣼⢿⣿⣿⣿⡇⠀⠀⣤⣿⣿⣿⣿⡿⡄⠀⠀⠀⠀⣦⠺⠶⠾⠇⣶⣦⣠
⠘⠛⠛⠓⠚⠒⠛⠛⠛⠀⠀⠐⠒⠒⠚⠒⠒⠒⠓⠒⠂⠀⠀⠉⠉⠩⠽⠿⠭⠉⠉⠁⠀⠀⠟⠘⠛⠛⠙⠃⠛⠐⠀⠀⠀⠛⠛⠛⠛⠛⠛⠓⠚
⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⢀⣠⠤⢄⡀⠀⢀⣀⣀⡀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⣤⡀
⡄⠣⡀⠿⠽⠾⠃⣠⠃⡄⠀⠀⡀⢂⡀⢰⣶⠖⠲⣶⡆⠀⠀⠪⣟⠝⠀⠀⠈⢭⡭⠁⠀⠀⢰⡟⡛⣶⣾⡆⢀⡀⠀⠀⠀⠀⠀⣇⠉⠀⠉⣸
⠀⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠁⢐⢤⣸⣇⠿⠿⣸⡇⠀⠀⣆⠉⢀⢀⣀⢀⠀⢀⡆⠀⠀⢸⢇⣃⣿⣿⡇⣿⣿⠂⠀⠀⠀⢤⠬⣦⠶⣴⣥⣤
⠀⣿⢖⣿⢸⣾⣯⣽⣇⠀⠀⠘⣇⢀⠁⢻⢟⢷⡾⡻⡇⠀⠀⠀⠰⠆⠬⠨⠄⠦⠀⠀⠀⠀⢸⢿⣯⣓⣩⡂⠀⠀⠀⠀⠀⠘⣛⡟⣸⣿⣿⣧⢣
⢀⣷⣶⣶⣿⣿⣷⣾⣟⠀⠀⠀⠀⠉⠀⢨⣿⡿⢿⣿⡅⠀⠀⠀⠈⢃⢩⢨⢁⠋⠀⠀⠀⠀⢨⣯⡽⢯⣭⡅⠀⠀⠀⠀⠀⢸⣾⣾⣿⣷⣭⣭⣾
⣿⣿⡿⠿⠿⢿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⣶⣾⢹⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠉⠈⠐⠀⠀⠀⠀⠀⠀⣀⡀⣀⡀⠀⢠
⠀⠀⠀⠀⢻⡏⠉⣿⠇⠀⠀⠀⠀⠀⡆⡦⠀⠐⠂⣴⣾⣒⣲⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢅⢿⠛⢂⣤⠐
⠀⠀⠀⠀⠀⣴⣿⡦⠀⠀⠀⠀⠀⠀⡇⠧⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⢀⠸⡿⠀⠀⠀⠀⠮⠥⢴⢼⠀⣠⣠⡄
⠀⠀⠀⠀⠀⠤⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠇⠀⠀⠀⠀⠀⠐⠊⠀⠁⠉⠉⠉⠈

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢠⣤⡄⣀⡀
⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠶⣶⠶⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⡀⡀
⠀⠀⠀⠀⢸⡇⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⣉⡅⢸⡇⠀⠀⠀⠀⠶⠀⢸⣧⣤⣤⣤⣤⣴⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇
⠀⠀⠀⠀⠘⣷⣭⡄⠀⠀⠀⠀⠀⠀⢸⣷⣶⣿⣶⣾⡇⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣄⣀⣀⣀⠀⠀⠀⠀⠈⠉⠉⠉⠁
⠀⠀⠀⠀⢬⣿⣿⣿⡄⠀⠀⠀⠀⠀⠘⠓⠸⠿⠇⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⠿⠿⠦

⠀⠀⠀⠀⠀⣤⡤⣤⡄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢤⣤⣤⡄
⠀⠀⠀⠀⢀⠀⡲⠂⢀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣍⡉⠁⠀⠀⠀⠀⠀⠀⣶⣶⣶⢸⠀⠀⠀⠀⠀⡤⠶⠶⠶⠶⠶⠶⠆
⠀⠀⠲⠰⠂⠀⢻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠒⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⢉⢭⠙⠀⠀⠀⠀⢂⡟⠻⠿⢿⡿⢽⠂
⠀⠀⠈⡇⣇⠲⠖⠶⢂⡇⠀⠀⠀⠀⠀⠀⢠⡌⠋⢥⠄⠀⠀⠀⠀⠀⠀⠿⠿⣘⣶⣃⠀⠀⠀⠀⠀⠿⠶⠤⠼⠷⠾⠂
⠀⠀⠀⠧⠈⠉⠽⠉⠉⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠘⠓⠿⠿⠿

⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠶⡄⠀⠀⠀⠀⠀⠀⢀⡑⠈⠘⡀
⠀⠀⠀⢠⣤⣧⣤⣽⣤⡄⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⢀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⣿⣿⢫⣶⡟⣿⡧⠀⠀⠀⠀⠀⠀⣿⣿⠅⠍⠙⠄⠀⠀⠀⠀⠀⠀⠀⣛⠋⠘⣻⠐⠀⠀⠀⠀⠀⠀⣰⣋⣧
⠀⠀⠀⢻⣿⣷⣭⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⠂⣠⣠⡀⠀⠀⠀⠀⠀⠀⣾⣿⣷⣾⣿⣷⠀⠀⠀⠀⠀⠘⢿⣿⡿⠗
⠀⠀⠀⠀⠀⠸⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠚⠛⠓⠚⠛⠛⠀⠀⠀⠀⠀⠀⠜⠛⠃

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣷⣦⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣵⣶⣦⣥⣶⣶⣮⡙⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣱⣿⣿⣿⣿⣿⣿⣿⣿⣜⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⣀⣀⣀⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠿⠿⠿⠟⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠻⠿⠿⠿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡻⠿⠿⢟⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⢀⣠⣤⡙⢿⣿⣿⣿⢋⣤⣄⡀⠀⠀⠀⠀⠀⠀⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⣀⣤⣶⣿⢸⣿⣿⣿⣦⡙⢟⣵⣿⣿⡿⠇⣿⣶⣤⣀⠀⠀⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⢰⣿⣿⣿⢫⣶⡝⣿⣿⣿⣿⣿⣿⡿⢡⣾⣷⣎⢿⣿⣿⡆⠀⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣾⣿⣿⣿⣧⣭⣴⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⠿⢸⣿⣿⣷⠀⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠛⠛⠛⠛⠛⠛⠛⠛⠟⠛⠛⠛⠿⠻⠛⠛⠛⠶⠛⠛⠛⠛⠀⣿⣿
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣛⣋⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣙⣛⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣭⣭⣭⣭⣭⣭⣭⣭⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⣀⣠⣴⣶⣤⡀⠀⠀⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⢸⣿⠿⣿⣿⣿⣷⠀⠀⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠠⠄⣠⡄⠠⠀⠀⠀⠀⠀⠀⣼⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠁⠀⠀⠀⠻⠏⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠺⠶⠀⠀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠐⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠙⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⣻⣯⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⢰⣿⣿⣿⣿⣿⡟⠃⠙⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⠀⠀⣴⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠘⠿⠿⠿⠻⣛⣛⣷⣚⡛⠿⠿⠿⠿⠻⣷⣼⣿⣇⣠⣾⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⣴⣶⣿⣿⣿⣭⣭⣭⣽⣿⣿⣿⣶⣦⣄⣼⣿⣿⡟⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣉⣉⣉⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣻⡿⠛⠛⠛⠻⣧⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⢈⡷⠒⠒⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣦⣄⣀⡀⠀⠀⠀⣀⣀⣤⠾⠋⠁⠀⠀⠀⠀⠀⠀⠘⢦⣤⣤⡞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠉⠩⠄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠌⠊⠀⠘⠀⠀⠀⠀⢸⠐⢒⠒⠀⠒⡒
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰
⠀⠀⠀⠀⠀⠀⡠⠤⡆⢠⣄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⠀⠂
⠀⠀⠀⠀⠀⢀⣅⠘⡁⠘⣫⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐
⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠈⣐⠀⠀⠀⣠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⠉⠀⠀⢸⠀⠀⢀⠠⡜⠉⢠⠀⠀⠀⢱⢠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢸⠆⠀⢸⠀⡧⠘⠄⠐⠀⠀⣻⠰⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢀⠀⠀⠀⠀⠀⢸⡄⠀⠀⢄⣇⠀⠀⠀⠀⢀⢿⣀⠇⠀⠀⠀⠂
⠀⠀⠀⠀⠀⢀⣐⣟⣂⠀⠀⠀⠀⠀⠙⠀⠠⠀⠀⠀⠀⢸⠆⠀⠀⢜⡇⢸⠀⡀⠠⠈⠈⠑⠆
⠀⠀⠀⠀⣴⣼⢰⣶⡮⣦⣤⠀⠀⢠⣉⠄⠠⠀⠀⣰⠀⢸⠀⠀⠀⢸⡇⢸⠀⢩⠀⠀⡠⠁⠀⡄
⠀⠀⠀⠀⣿⣿⠘⠛⠂⣿⡗⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢀⣽⠀⢸⠀⣠⠃⠀⠀⡇
⠀⠀⠀⠀⠈⠁⠀⠀⠀⠈⠂⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠨⠤⠀⠀⠀⠀⠥⠀⠨⠱⠂⠀⠁⠈⠀⠄


⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠲⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⢀⣀⣀⠀⠀⣶⣿⣦⣀⣀⣀⣀⣀⣀⣶⣿⣦⠀⠀⠙⢦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢿⣿⣿⠆⠀⠻⠿⠛⠀⠀⠀⠀⠀⠀⠻⠿⠏⠀⠀⠀⠀⠉⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⡞⠁⠀⣀⣀⡀⠀⠉⠉⠙⠦⣄⣀⣀⣀⣀⣀⣀⣀⣴⣶⣦⠀⠀⣼⣿⣿⡆⠀⠈⠑⢦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⠏⠀⠐⣿⣿⣿⠖⠲⠦⣄⠀⠀⠉⠉⠉⠉⠉⠉⠉⠻⠿⠟⠀⣠⠞⠛⠛⠁⠀⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠈⢱⡆⠀⠀⠀⠀⠀⠀⠀⣠⠤⠤⠞⠁⣰⣾⣷⡄⠀⠀⠀⠀⡏
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⠀⢀⣴⣶⡄⠀⠀⠀⠀⢰⣿⣿⡆⠀⠀⠀⢀⣴⣶⣇⠀⠀⠀⠀⠘⢿⠟⠁⣴⣶⣶⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠉⠀⠘⢿⡿⠿⣄⠀⠀⠀⠈⠛⠛⠁⠀⠀⠀⠘⠿⡿⠏⠀⠀⠀⠀⢠⠞⠀⠀⠻⠿⠟⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠛⠛⠓⠢⣀⣀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⣾⣿⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⠤⠤⠤⠤⠤⠤⠤⠤⢤⡀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⣼⣿⣷⡄⢀⣤⣤⡀⠈⣿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⠀⠉⠛⠉⠀⠀⠀⠀⠙⠛⠛⠀⢸⣿⣿⠇⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢋⣤⣦⡄⠀⠀⢠⣶⣶⣄⢀⣀⣠⠞⠁⠀⢀⡴⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⠟⠀⠀⠘⠿⡿⠏⠉⠉⠁⠀⠀⣠⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠤⢤⣄⣀⠀⠀⠀⢠⠞⠛⠉⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⢀⣼⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈


⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⠟⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡐⢀⢤⣄⡧⣩⣴⣥⣍⣄⢁⠒⠀⢂⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⡠⣤⢨⣐⡲⢦⢹⣿⡿⠧⠼⠶⠎⠾⠾⠿⠫⠶⠶⢂⣄⣤⣀⡀⠄
⠀⠀⠀⠀⠀⢀⣐⢶⡸⣜⠎⠓⣑⢴⠦⠀⠀⠀⢠⣤⣤⡄⠀⠠⢀⡈⠉⠉⠢⣦⣴⠆⣚⢁⣂⡀
⠀⠀⠀⠀⡈⢀⠡⠙⠃⠛⠛⠉⢀⠄⠀⠀⠀⠀⠚⠛⠛⠃⠀⠰⠊⡁⠾⠋⣗⠒⠒⣒⠮⠍⠁
⠀⠀⠀⢐⠨⠲⠥⠖⠴⠶⠶⠦⢁⣠⢖⢄⣤⣤⣤⣤⣤⣤⣤⣔⣦⣉⣀⡐⣙⣛⢉⣥⡓⢈⡃⢒⣒⡂
⠀⠀⠀⠀⢁⣴⠳⡎⣿⡡⡋⠛⠛⠪⠓⢉⠨⣻⣾⢛⠛⡹⡛⣟⣒⠒⣲⠭⢤⣔⢮⢲⡆⣷⡽⣎⡛⠟
⠀⠀⠀⠀⠈⠉⠑⠛⠣⢪⡪⣉⠋⠧⣒⡵⣪⠵⠟⣸⠻⡝⣦⣤⡦⣿⡦⢹⡏⣿⡜⣦⢹⣬⣁⠈⣛⡛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⢇⡟⣾⡞⣵⠊⣵⡇⣿⡿⢃⣧⢙⡏⡗⢿⣁⣿⣇⣿⡇⣹⣧⣉⡭⢳⡌⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⢻⡇⢻⣆⢹⣧⠘⠿⠸⠿⠿⣤⠃⣮⡙⠛⠉⠉⠁⠉⠉⠉⠃⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠈⠺⢉⣘⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢀⠁


⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⡿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣶⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⢿⣿⣷⣿⣿⣉⡿⣷⣟⢹⣛⠿⣾⣿⣻⢿⣶⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣬⢿⣯⣟⢻⡹⣿⢷⣻⡿⣽⣿⣻⣾⢛⣯⣯⣙⣿⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣹⡟⣻⠟⣭⢯⣷⡿⣿⣿⣩⣷⣿⣿⣿⣿⣿⣵⢿⣜⣿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣼⣿⣛⣿⣟⣟⣿⣶⣿⢽⣿⢿⣾⣏⣥⣽⣿⣿⣭⣯⣹⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣥⣭⣿⠿⣿⣿⡞⢿⢿⣿⣻⡿⢿⣽⣿⣿⣟⣿⣿⣇
⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⣿⣯⣿⣾⣿⣶⣿⣟⣿⣿⣶⡿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢠⣶⡆⠉⢡⣀⣴⡄⠀⢀⠔⢲⣶⠦⢤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⡟⣿⣿⡦⡤⠄⠠⣼⢀⡎⠀⣠⠟⠒⠲⢬⡙⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⢸⣿⣿⣿⣇⢿⣿⣿⣿⣿⣿⣿⣾⠁⠀⠁⡀⠀⠀⠀⢹⡿⣏⠳⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⢀⣝⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⡏⠀⠀⠀⣸⠇⣹⠀⠘⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⢤⠈⣽⣿⣿⣿⡾⠚⢻⣿⣿⣟⣿⣿⡿⠀⠐⢾⡁⠀⠀⠀⠉⢳⡟⠀⣀⣼⠹⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀⠀⠀⢰⣿⣿⣿⣿⠀⠀⢸⣿⣏⣿⣿⣿⣟⣠⣤⠬⣧⡀⠀⠀⠀⢈⣇⠀⠈⠙⣷⡿⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣇⣦⠀⠀⢸⣿⣿⣿⣿⠀⠀⢸⡟⣾⣿⣿⢻⡏⠀⠀⠀⠀⢀⣤⡴⠶⠾⠿⢄⡀⠀⠸⣇⢹⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⠀⠈⠙⠲⠾⠿⣿⣿⣿⠀⠀⢸⣱⣿⣿⠁⢨⡇⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠙⠂⠀⣿⢰⡿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠖⣀⡚⠚⢷⡤⣼⡇⠀⠀⢰⣿⣿⣿⠀⢸⡇⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠈⠁⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣝⡟⠁⠀⠀⠀⠙⠃⣤⡈⠳⡀⠀⢸⣿⣿⣿⠀⢸⡷⠶⠶⠒⠚⠾⠅⠀⠀⠀⠀⢀⣦⡤⠟⠀⢠⡾⠛⣇
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣏⡛⠀⡰⠀⠐⢤⠀⠀⠀⠁⠀⠙⣦⡼⠿⢿⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⡸⠻⠛⠓⠀⠀⠀⢿⡀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⡇⠾⢄⠔⠁⠀⣡⡀⠀⠀⠀⠰⣿⡀⠀⠈⣿⠀⢸⡇⠀⠀⠀⠀⠀⡀⢀⣠⠇⠀⠀⠀⢀⠀⠀⠈⠀⠀⣽⡇
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠠⡖⠁⠀⠐⠀⠀⠀⠀⢹⣧⠀⠀⢻⠀⢸⡇⠀⠀⠀⠀⢀⡿⠚⠁⠀⠀⠉⠋⠉⠉⠓⣆⠀⠚⢻⡄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠰⣀⠤⠐⡇⠀⠀⠀⠀⠿⠀⠀⠸⠀⢸⣿⡶⠶⠶⠶⣿⡀⠀⠀⠀⠀⠀⢠⡀⠀⠀⣿⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡛⡇⠀⠀⠀⠀⢀⠀⠀⣸⠀⠀⣀⠀⠀⠇⠀⠀⠀⢸⡟⠀⠀⠀⠀⠈⠙⠶⠦⠤⠤⠤⠞⠀⢠⣤⠟⢰⡆⣸⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠸⠟⣟⣹⡆⠸⣀⡅⠀⢰⠀⠀⠀⢸⡇⠀⠀⠀⢸⣦⠀⠀⠀⢀⣄⠀⠀⠀⢨⣿⡀⠘⣷⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⡿⣿⣿⡇⠀⠉⠀⠀⢸⠀⢀⠀⢸⡇⠀⠀⠀⣸⠏⠙⠛⠛⠛⠉⠛⠚⠚⠋⠙⢿⣞⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠐⠧⣄⣹⠃⠀⢠⠀⠀⣼⣴⣾⣧⣸⡇⠀⠀⣼⠏⠀⠀⣰⣄⡀⡴⠖⠛⠳⣄⠀⢈⡿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡻⣄⣀⡜⠳⢤⡝⠀⢀⡄⠀⢀⠟⢿⣿⣿⣿⣇⣠⣿⣏⢀⣠⠴⠋⠈⢻⡅⠀⠀⠀⢹⣶⡾⠁
⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣏⠻⢦⣾⠁⣠⡿⢀⢀⣾⣆⣼⣿⣿⣧⡟⠁⠀⠉⠉⠁⠀⢀⣰⣾⠃⠀⠀⢐⣾⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⣙⣣⣏⣴⣿⣿⣿⣿⣿⣮⣻⡿⡇⠀⢀⢀⣹⣷⡾⠿⠋⠁⠀⣰⣀⡾⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣶⣾⣟⢿⡿⣿⣿⣿⣿⠃⣟⠒⠛⠋⣉⠀⠀⢀⣆⣠⡶⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠳⠽⢿⣿⠟⠃⠀⠘⢦⣤⣴⣿⣤⠶⠟⠋⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣶⣦⣤⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⣛⣛⠿⠿⠛⠋⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉



⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠠⣄⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠆⠀⠀⢀⣴⣿⡇⠀⠀⠀⠀⠀⠀⢿⣿⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠉⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣸⣇
⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⣠⣾⡿⠀⣴⣶⣶⣶⣶⣾⣿⣿⣶⡄
⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣾⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠉⠁⠀⠀⢀⣀⣀⠀⠀⠀⠉⠙⠲⢤⣀⠀⠀⠀⠀⢾⠀⠀⣱
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⢀⡴⠋⠻⢤⠈⠉⠳⣄⠀⠀⠀⠀⠈⠑⢦⡀⠀⠈⠓⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⡞⠲⠤⠞⠋⢀⡴⠏⠮⣇⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⡴⠋⠙⢢⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⣠⣞⣓⣒⣒⣒⣒⣚⣓⣒⣒⣛⣢⣀⠀⠀⠀⠀⠀⠀⠙⣌⢧⡀⢀⡼⠃
⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠘⣆⠉⠉
⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠘⡆
⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⠀⠀⣺⠉⡇⠀⡴⠊⠒⣄⡤⠤⠤⣄⡔⠊⠒⡄⠀⡏⢙⡆⠀⠀⠀⠀⠀⠀⠹
⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠻⢤⡇⠀⢧⣀⣠⠟⡇⠀⠀⡏⢧⣀⣠⠇⠀⣧⠴⠃⠀⠀⠀⠀⠀⠀⢰⡆
⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠲⠲⠐⠔⣴⡃⠀⠀⢳⣔⠠⠴⠖⠖⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃
⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣬⣷⣤⣤⣥⡸
⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⢰⠖⠒⢶⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲⡖⠒⢲
⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⡞⢠⠦⣾⠀⠀⠀⢀⣆⢦⣦⢦⠀⠀⠀⢸⠦⢶⠘⡆
⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⢀⡸⢁⠇⠀⢸⡀⠀⠀⠸⠜⠜⠞⠏⠀⠀⠀⣸⠀⠀⢇⠹⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⢮⠀⢸⠂⠀⠀⠉⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠁⠀⠀⢸⡀⢨⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡇⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡇⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡇⠀⠀⠀⠀⠀⠀⡼⣉⢣⠀⠀⠀⢸⢹⠀⠀⠀⠀⡇⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠓⠓⢤⠙⠲⠤⣄⣸⢡⠛⡎⣇⠀⠀⣸⢸⠀⠀⢀⠴⠓⠛⠦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠈⡇⠀⠀⢠⠇⠿⠖⠃⠸⡆⠀⣿⢸⠀⠀⡏⠀⠀⠀⠀⢹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣀⠀⠀⠀⠀⠀⢀⣏⡞⠉⠉⠙⢦⣹⡀⣿⣸⠀⠀⠀⠀⠀⢀⣠⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠈

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⡋⡋⣙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠾⠿⠻⠿⠷⣶⣄⡀⠀⠀⠀⠀⠀⠀⢸⡿⠻⣿⠟⣿⡿⢿⣿⠻⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠉⠰⠆⠀⠀⠀⠴⠆⠙⣿⣆⠀⠀⠀⠀⠀⠸⠷⠾⠿⠶⠿⠷⠾⠿⠶⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⢻⣶⣤⣤⣤⣤⣤⣤⣤⣾⠟⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⣤⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣼⣿⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⣤⡀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⢹⣿⠀⣾⡟⢿⡆⢠⣶⠀⣴⡟⢻⣦⠀⣿⡋⢹⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⣉⣉⣉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⣾⣿⠀⠙⠿⠟⠁⠀⠿⠀⠘⠻⠟⠃⠀⣿⣦⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢀⣴⣶⠄⠠⡦⠀⢶⠀⢰⣶⣦⡀⣿⠁⠀⣠⣴⠿⠟⠿⢶⣄⣠⣴⠾⠟⠿⢶⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠃⠀⢠⣤⣤⣤⣤⣤⡀⠀⠙⣿⠏⠀⢰⡿⠁⠀⠀⠀⢀⡙⠛⠁⢀⠀⠀⠀⢹⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⣸⡏⠉⠉⠉⣿⣇⣠⡾⠋⠀⠀⢸⣧⠀⠀⠀⣼⡟⢻⣧⠀⣿⠂⠀⠀⢰⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠷⣶⣶⡶⠿⢿⡏⠀⠀⠀⠀⠀⠻⣷⣄⠀⣿⡿⢿⣿⠀⣿⠁⢀⣴⡿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡶⠶⠶⠶⢿⣇⠀⠀⠀⠀⠀⣼⡷⠶⠶⠶⢶⣦⡀⠈⠻⣶⣌⠀⠀⠁⠀⢈⣴⡿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠁⠀⠀⠀⠀⠀⠻⠿⠿⠿⠿⠿⢋⣤⣤⣄⠀⠀⠈⢻⣆⠀⢈⣿⣶⡀⢀⣴⡿⠛⠷⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⢠⣶⣶⣶⣶⣶⣶⣶⣾⣧⣼⡿⠛⠛⠛⢿⣿⠛⠛⠁⠈⢻⣿⠋⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠷⠶⣶⣶⡀⢸⣿⣤⣤⣤⣤⣤⣤⣤⣿⠏⣠⣶⠶⠶⠾⠟⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣿⠉⢿⣦⣉⣉⣉⣉⣉⣉⣉⣉⣁⣴⠿⣧⣄⠀⠀⠀⠀⠀⠀⢀⣼⣿⣄⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠉⣿⡏⠉⠙⣿⠉⠙⠻⣿⣍⡀⠈⠙⠻⠛⠛⠛⠛⠛⠿⣯⣼⡿⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡶⣶⣄⣠⣤⣴⡿⠇⢀⣴⢿⣦⠀⠀⠀⠙⠻⣶⣄⣀⣀⣀⣀⣀⣀⣀⣈⣉⣀⣀⣀⣴⡿⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣶⡾⠏⠉⠁⠀⠀⠀⠘⢿⣶⡿⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢿⣶⡿⠃