James Randall (space boy on twitch ) Emojis & Text

Copy & Paste James Randall (space boy on twitch ) Emojis & Symbols ⠐⠀⠆⡐⠀⠒⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠐⠀⠆⡐⠀⠒⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⡿⢿⢿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡽⣞⣳⢟⡯⢲⡍⢿⠿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣱⣿⣿⣿⣿⣿⣿⣿⣿⣯⣳⢯⣾⣧⢺⡭⣞⠰⢯⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⠄⠀⠀⠀⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣬⣙⡆⢳⣘⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⣷⣞⣻⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣔⢻⣿⣿⣿⣿⣿⣿⣷⣿⣽⣿⣿⣿⣿⣻⣿⣿⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⡱⣊⠧⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠶⢹⡿⣿⣿⣿⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣶⣷⣿⣿⣝⡫⢟⠧⡒⢤⡜⡡⢣⢹⣟⣿⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢏⡿⣿⢿⣿⡵⣉⠒⡍⢦⣽⢒⣷⡟⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣽⣾⣿⣿⡶⡹⣜⡽⣫⢎⡽⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡻⢿⣿⣿⣷⡳⣎⢷⣣⢞⣴⣻⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⢾⣿⣿⣻⣷⡽⣎⡿⣼⣽⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣻⣞⡯⣟⣿⡿⣽⣿⣿⣽⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣿⣿⣿⣿⣿⣿⣿⣷⣿⣽⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣶⣭⣾⣿⢿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⡏⡆⣿⢿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣆⣻⣿⣿⢰⣹⣴⣯⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢯⡻⡵⣣⣿⣿⣟⣶⣿⡿⢟⢋⠙⢿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⢿⡿⣟⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣇⡻⣴⣿⣿⣿⣿⣿⣧⡜⠠⠊⢌⠢⡙⠿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣾⣿⣿⡿⣿⣻⣽⣻⣾⣿⣽⣻⣽⣾⣿⣟⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣽⣿⡇⢠⢉⠢⡱⢉⡒⠤⡙⠛⠿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⡿⣿⡽⣾⣽⡷⣟⣷⣿⣳⣿⣿⣿⣿⢿⣾⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣄⠊⡴⢡⢃⡜⠤⣡⢉⠒⡌⡙⠿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡿⣯⣟⡷⣿⣽⡾⣟⣿⡿⣾⣿⣽⣿⣻⡿⣿⣻⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⡔⢣⠏⡜⢢⠱⢎⣐⢢⡉⢖⡩⠿⣎⣙⠛⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⢿⣽⣷⣻⣿⣽⣾⣿⢿⣟⣿⣿⣻⣿⢾⣿⣽⣿⣻⣷⣿⢿⣿⣾⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⢿⢫⠥⡓⢬⡙⡍⢦⡙⢬⡁⢏⠆⣍⠲⣉⠖⡰⢃⡒⢌⠒⡄⡘⠻⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣀⣀⣀⣼⣿⣿⣿⢿⣻⣯⣿⣿⣽⣿⣯⣿⣿⣿⣿⣿⣽⣿⣻⣿⢾⣷⣿⣳⡿⣿⣳⣿⢿⣻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣧⣆⠜⣢⢃⢏⢞⡹⢆⡱⢚⠤⡙⢦⠙⣌⠚⡤⢓⡌⢎⡱⢌⠦⣉⠒⡤⠱⣬⣦⣛⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣽⣾⣿⣳⡿⣿⣽⣻⣽⢯⣿⣟⣿⣽⣿⣻⣿⣿⣿⠻⢿⠟⣋⠜⡤⣋⠜⣢⠕⣪⠱⣉⠞⡱⢎⡳⣌⠳⣌⢳⡘⢦⡑⢊⠖⣡⠣⢌⠱⡈⢍⠻⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣾⡷⣿⣻⡷⣯⢷⢯⣟⡷⣯⣟⡾⣷⣟⣿⣿⡯⣹⣾⡰⢌⡚⢰⢡⢋⠖⣩⢒⠭⣌⢣⡙⢦⠱⡌⠳⠌⢦⢙⢢⠱⣉⠞⡤⢓⠬⡑⢌⠢⡑⣈⠻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⣿⣟⡿⣿⣯⣟⡯⢾⡹⣗⢯⣟⡷⣿⣿⣿⡇⣽⣿⣷⣮⠌⡥⢢⠍⣎⠱⣊⠖⣌⢣⠚⣅⠳⣼⢡⠋⡔⣊⢶⡉⢖⡩⣖⣩⢒⡉⠦⡑⠰⣀⠣⡘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣾⡿⣷⣻⣟⡾⣭⢳⣏⡞⣾⡽⣿⣿⣿⣓⣾⣿⣿⣿⡗⣌⢣⠚⣌⠓⣬⠙⡤⢣⡙⢤⠓⡌⠣⣍⢒⡩⢒⢭⡂⠷⣌⠳⢎⡜⡰⢉⡱⢠⠑⡌⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣟⣿⡿⣜⢧⡻⣼⡹⣖⡿⣽⣿⡿⢼⣿⣿⣿⣿⣏⢆⡣⠹⣌⠳⣰⢋⠖⡥⢚⡜⢣⠌⡑⢦⠳⣌⢣⢒⡭⣓⢎⣟⡲⡘⡔⢣⠰⡁⢎⣽⣾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⢷⡹⣎⠷⣱⢫⡼⣹⣿⣿⣏⣾⣿⣿⣿⣿⡜⣎⡶⣉⡖⡣⢆⡍⣚⢼⢡⢊⡅⢊⠜⢢⡙⢤⢊⠞⣴⢫⣿⣿⡷⡱⡘⡄⢣⠑⢢⣹⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⢯⡽⣯⢏⡳⢯⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⡜⣞⡳⡱⢎⡵⢊⡴⣉⢞⡤⢣⠜⡨⢌⠣⡜⢢⢍⣾⣼⣿⣿⣿⣷⣳⡱⢈⠆⣙⠢⣼⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢯⣳⢽⡳⢯⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⣛⢦⡓⣭⡚⠵⣋⡴⡑⢎⠲⣁⠎⡰⢈⠖⢨⠑⢺⣿⣿⣿⣿⣿⣿⣷⡱⢊⠰⣈⠕⣺⣿⡇⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣳⣏⠿⣝⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣧⡙⡴⣙⣌⠳⣬⠱⢎⡱⠆⡜⠰⡁⠎⠤⡙⢬⢻⣿⣿⣿⣿⣿⣿⣧⢉⠒⡌⢎⠽⣿⣧⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡕⡮⣔⠫⡔⡩⢞⠰⡍⢌⡱⢈⠜⡠⢙⠢⣝⣿⣿⣿⣿⣿⣿⣿⠀⠧⡘⣌⢚⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣟⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡵⣌⢱⢊⡔⡘⢢⡑⡊⠔⡡⢊⡱⢌⢻⣿⣿⣿⣿⣿⣿⡌⡱⠰⢌⠲⣹⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣾⣿⣿⡟⣏⠿⣿⣿⣿⣿⣿⣿⣿⣮⣌⠳⣌⡑⢢⠑⡌⡘⢄⠣⢜⡠⢋⣿⣿⣿⣿⣿⣿⡇⡔⠡⢎⡱⢌⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⡝⠴⣩⠟⣿⣿⣿⣿⣿⣿⣿⣦⣍⡱⢈⠆⡡⠃⡜⡠⠎⡡⢊⣿⣿⣿⣿⣿⣿⣇⡑⠢⣜⠡⣘⢿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣳⢯⣿⣿⣿⢿⡹⣎⡷⣽⣻⢾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣎⢧⣡⠻⣔⢫⡛⣿⣿⣿⣿⣿⣿⣷⣮⣾⣷⣾⣶⣥⣎⠰⢡⣿⣿⣿⣿⣿⣿⡇⣌⠱⣌⠣⡜⢺⣿⣿⣻⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣟⡷⣯⣿⣿⡿⣝⣞⡳⣯⡽⣾⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣳⢎⠧⣙⢦⣛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣓⠂⣿⣿⣿⣿⣿⣿⡖⡌⢲⣝⠢⣍⠳⣿⣿⣻⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣾⣽⣿⣿⡿⣽⣺⡼⣝⣷⣻⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣥⣚⣬⢛⠶⣹⣿⣿⣿⣿⣿⣿⣿⠏⡰⢁⠎⣼⣿⣿⣿⣿⣿⡷⣈⢇⣮⠱⡌⣽⣿⣿⣧⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣻⣷⣻⣿⡽⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⣛⣶⣿⣿⣿⣿⣿⣿⠏⢠⠑⣌⢒⣿⣿⣿⣿⣿⣿⣷⡡⢞⣾⡵⡘⢼⣿⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣽⣷⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⡘⢄⠺⣼⢣⣿⣿⣿⣿⣿⡿⠿⠿⠿⣿⣿⣿⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢢⠑⠬⣱⣛⣿⣿⣿⣿⣿⣷⣬⣅⠂⠄⠠⡀⠐⠨⠙⠻⠿⣿⢻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⠃⡜⢡⣹⣿⣿⣿⣿⣿⣿⣿⣿⣽⣮⣐⠡⠐⡉⠠⢁⠂⢡⠂⣹⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⠣⡘⢰⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⡀⢃⠄⡀⠢⣅⢸⣿⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢃⠆⣙⣾⣿⣿⣿⣿⣿⣿⣿⢿⡻⣝⢯⣛⡿⢿⣿⣿⢀⠢⢀⡁⢦⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠋⠉⠉⠋⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡝⣼⣿⣿⣿⣿⣿⣟⡻⣜⢧⡻⡜⣣⠽⣭⢻⣿⣿⡀⢂⠔⡐⣾⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⢛⡴⢊⡕⣊⠖⣡⠳⣥⣛⣼⣿⣿⣿⡐⢌⣰⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⢻⣛⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⢿⣿⣿⣿⣿⣧⣗⡬⢣⡜⢦⡛⣴⣻⣽⣿⣿⣿⣿⣿⣴⣾⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣧⣞⣳⣿⣶⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣽⣯⣷⣿⣽⣳⡭⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠘⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣯⣿⣿⣾⣽⣳⢿⣿⣿⣾⡵⣻⢼⡹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢨⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣿⣿⣿⣿⣿⣿⣽⣿⣷⢯⣻⢿⣿⣿⣿⣿⣱⢯⣝⣣⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣆⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣟⣯⣿⣿⣿⣿⣛⡾⢾⡽⣾⣿⣿⣿⣿⣿⣿⣿⣿⡳⣌⢿⣿⡀⠈⠭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣻⣽⣿⣿⣿⣯⣿⣿⢿⣿⣿⣿⡿⣞⣳⢯⣟⡿⣯⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⢿⣜⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣯⢷⣻⣿⣿⣿⣷⣿⣿⣻⣿⣿⣿⡿⣽⣫⢿⣞⡿⣽⣻⣞⡿⣿⣿⣿⣿⣿⣿⣿⡿⣭⢫⡞⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣳⣟⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢯⣟⣾⣿⣳⣟⣯⣟⡷⣻⢿⣿⣿⣿⣿⣿⡳⣝⢮⣳⣭⢿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⢯⡷⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⢯⣿⢯⣟⣾⣳⢿⣹⢯⣟⣿⢻⣏⢷⢯⣽⡎⡵⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣽⣯⣷⣿⡿⣿⣿⣿⣿⣻⣯⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣽⣿⣟⣿⣻⡾⣽⢯⣟⡾⢾⣼⣳⢯⡞⣯⢟⡿⣵⢣⠿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣽⣿⣿⢿⣿⣻⣽⡿⣽⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣷⢿⣯⣟⡾⣽⣻⢶⡯⣷⢻⡜⣯⠽⡭⢯⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⣿⣿⡿⣽⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣟⣷⣿⣯⣿⡾⣽⣻⠷⣯⣟⣾⢳⡯⡽⣎⣟⣱⢫⡝⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣯⣿⣾⢿⣻⣿⣽⣳⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣿⢯⣿⡾⣿⡷⣯⣟⣳⢾⣱⢯⣳⡝⡾⣜⡲⢣⠞⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣯⣿⣾⣿⣿⣽⡿⣟⣾⣷⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⣿⣯⣿⢿⡿⣷⣻⡽⡾⣭⣛⡶⣹⡝⣮⡕⣫⠞⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣽⣿⢿⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⡷⣿⢾⣟⡿⣽⣳⠿⣽⡳⣏⢷⡳⣜⠧⣞⡱⣚⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⣷⢿⣻⣯⣟⣿⣳⢯⣟⢧⡟⣭⢷⣛⣮⢷⡹⣼⢱⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⣽⣿⣯⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⣟⣯⣷⢿⡾⣽⣻⣞⡿⣼⣛⣮⠷⣮⣳⣛⢶⣋⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡿⣷⣿⣿⣿⣿⣿⣾⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣟⣯⡿⣯⢿⣷⣻⢾⣽⣳⡽⣮⠿⣵⡳⡽⣎⡳⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣽⣿⣿⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢾⡿⣽⣟⣯⡷⣟⡿⣞⡷⣽⣳⢻⣳⢟⣵⣫⢽⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣾⣿⣿⣾⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣻⣟⣾⢯⡿⣽⣻⣽⡳⢯⣞⣯⡽⣞⡧⣏⣾⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Related Text & Emojis

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣦⣤⣴⣤⣤⣄⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣻⣿⣦⣀⠀⢀⣀⣀⣏⣹⠀ ⢠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠭⠭⠽⠽⠿⠿⠭⠭⠭⠽⠿⠿⠛ ⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⢻⣿⣿⣿⡟⠏⠉⠉⣿⢿⣿⣿⣿⣇⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠁⠀⠀⠀⢠⣿⣿⣿⠋⠑⠒⠒⠚⠙⠸⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⡿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢶⣶⣶⠼⣦⣤⣼⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⣯⠿⠟⠛⠻⢶⣿⣯⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣖⣺⡿⠿⠷⠶⠒⢶⣶⠖⠀⠉⡻⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⢻⣭⣫⣿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣖⡿⠋⢙⣿⠿⢿⠿⣿⡦⠄⠀⠀⠀⣠⣾⠟⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣰⣿⣴⣿⡿⠿⠿⠿⢿⣦⣄⠀⠀⠀⣠⣾⣿⠃⠀⢀⣸⡿⣳⣶⣲⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⣽⡿⣛⣵⠾⠿⠿⠷⣦⣌⠻⣷⣄⢰⣿⠟⠁⠀⢠⣾⠿⢡⣯⠸⠧⢽⣄⠀⠀⠀⠀⠀ ⠀⢸⡇⡟⣴⡿⢟⣽⣾⣿⣶⣌⠻⣧⣹⣿⡿⠋⠀⠀⠀⣾⠿⡇⣽⣿⣄⠀⠀⠉⠳⣄⢀⡀⠀ ⠀⢸⠇⢳⣿⢳⣿⣿⣿⣿⣿⣿⡆⢹⡇⣿⡇⠀⡆⣠⣼⡏⢰⣿⣿⣿⣿⣦⠀⠀⠀⠈⠳⣅⠀ ⠀⣸⡀⢸⣿⢸⣿⣿⣿⣿⣿⣿⡇⣸⡇⣿⡇⠀⡟⣻⢳⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠘⣧ ⢰⡟⡿⡆⠹⣧⡙⢿⣿⣿⠿⡟⢡⣿⢷⣿⣧⠾⢠⣿⣾⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠘ ⠀⠻⡽⣦⠀⠈⠙⠳⢶⣦⡶⠞⢻⡟⡸⠟⠁⢠⠟⠉⠉⠙⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡴ ⠀⠀⢸⣿⡇⠀⠀⣀⣠⠀⢀⡀⠸⣹⠇⠀⣰⡟⡀⠀⠈⠛⠻⢿⣻⣿⡿⠀⠀⠀⠀⠀⠀⡠⠁ ⠀⠀⢸⣿⣇⣴⢿⣿⣿⣿⣮⣿⣷⡟⠀⣰⣿⢰⠀⣀⠀⠀⠀⢀⣉⣿⡇⠀⠀⠀⠀⠀⣸⠃⠀ ⠀⠀⢸⣿⡟⣯⠸⣿⣿⣿⣿⢈⣿⡇⣼⣿⠇⣸⡦⣙⣷⣦⣴⣯⠿⠛⢷⡀⠀⠀⠀⣰⡟⠀⠀ ⠀⠀⠘⣿⣿⡸⣷⣝⠻⠟⢋⣾⣟⣰⡏⣠⣤⡟⠀⠀⠈⠉⠁⠀⠀⠀⠀⢻⣶⠀⢀⣿⠁⠀⠀ ⠀⠀⠀⢸⡿⣿⣦⣽⣛⣛⣛⣭⣾⣷⡶⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠁⢸⢻⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣀⣀⣀⣀⣀⣠⣤⠶⠛⠁⢀⣾⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣻⣿⣿⣿⣿⣿⣿⣎⣿⡅⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡷⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⠻⢿⣿⣿⣟⣂⣀⣀⣀⣀⣀⣀⣤⠴⠋⠁⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣷⣷⡄⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⣤⣤⣤⣤⣄⣤⣤⡤⠴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⡴⡟⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⢀⣼⠁⣱⠴⠿⠗⠒⠒⠒⠷⢿⣍⢻⠒⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡿⠛⠁⠀⠀⠀⠀⣒⡶⠀⠀⠀⠹⣟⡺⢷⡄⠀⢀⣠⠤⠤⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢀⡟⡅⠀⠀⣠⣴⡶⠚⡍⠀⠀⠀⠀⠀⠀⠈⣲⣿⠟⠉⠀⠀⠀⠈⢳⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⢸⢠⠇⣠⣾⠟⠉⠀⣀⣀⣤⣤⣤⣄⡀⣀⡀⣀⢻⡀⠀⠀⠀⠀⠀⣼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠘⣾⣴⣿⣣⣴⣾⣿⡿⠛⢋⣁⣠⣴⣿⣿⣿⣧⡨⢷⠀⠀⠀⢀⡼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠘⢿⣿⠟⣿⣿⣿⠛⠛⠉⠩⣾⣿⣿⡿⣿⡏⢻⣾⡦⠴⠚⠋⠀⠀⠀⠀ ⠀⠀⣠⡤⠒⠲⣄⠀⠀⠀⠀⠀⠀⠀⢸⣽⠀⠀⠀⠀⠀⣾⣆⠉⠛⠙⠀⠀⠀⠀⠻⠿⠭⠽⠀⢧⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⠋⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠰⣯⡟⠳⣔⠲⣴⣖⣦⢤⡤⠂⣀⠤⠤⢾⡆⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡇⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⢸⡇⠀⠀⠀⠀⢠⣧⣤⣶⡄⠉⠺⠯⣾⠥⠖⠉⠀⠀⠀⢨⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡇⠹⡆⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⢸⣷⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀⠀⢀⡀⠀⠒⢤⣤⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣷⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠹⣹⡄⠀⠀⠀⠀⣿⠙⠀⠀⠀⠀⣿⠃⠀⣀⠀⢹⡆⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡄⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⢧⢳⠀⠀⠀⠀⢸⠓⠲⠖⠛⠀⠠⣄⠘⠛⢁⡼⠁⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢧⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⢧⡀⣀⠤⠚⠃⠀⠀⠀⠀⠀⠈⠙⢻⠏⠁⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡆⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠗⠋⠀⠀⢠⠶⠋⠁⠀⠀⠀⢀⡴⠁⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⡄⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠸⠀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⣀⣀⣞⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⡀⠀⠈⠳⣄⠀⠀⠀⠀⣴⠿⢁⡀⠉⠙⠒⠂⠀⠀⠀⠐⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠲⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠈⠳⣤⣀⠀⢏⠀⣿⠃⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⢇⠈⠉⠛⠦⢬⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠗⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠸⡄⠀⣠⠖⠒⠛⠙⠲⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠒⣂⣢⠴⠚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⢳⡞⢁⣀⡀⠀⠀⠀⣀⣀⣨⠭⠿⠿⠿⠿⠛⠛⠛⠛⠛⠒⠚⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣆⠀⡼⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Warning: This item may contain sensitive themes such as nudity.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⡼⠇⠀⠀⠀⠘⡆⠀⠀⠐⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⢼⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠞⠀⢹⡄⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⡿⣯⡷⡴⢦⣤⡠⣶⡶⠀⢷⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣼⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠈⢧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠛⢦⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠳⠀⢳⡀⢹⡇⠀⠀⠀⠀⠀⡾⡇⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠘⠀⠀⠹⣼⡇⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⡾⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⡟⠀⠀⠀⠀ ⠀⣴⠓⣾⣳⣀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠃⠀⠀⠀⠀⠀⠀⢸⡇⢀⠇⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠀ ⠹⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠀ ⠀⢀⡇⢹⣄⠀⠀⠀⠀⣀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣸⣧⠀⠀⠀⠀⠀ ⠀⣴⣿⠋⠘⣆⠀⢰⠶⠤⢍⣛⣶⠤⠿⣷⣦⡀⠒⠚⡟⠀⠀⠀⠀⠈⠛⠢⠤⡄⠀⠀⢀⡴⢯⠴⣳⠇⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠘⢦⡈⠻⣖⠤⣤⣉⣉⣹⣯⣭⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣫⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠉⢦⡀⠀⠀⠈⠉⠁⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣷⢚⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣷⠇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡿⢿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠃⠀⠀⠘⢿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠁⠀⠀⠀⠀⠈⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣗⣷⢶⣾⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⣶⠾⠻⠛⠦⠀⢙⠿⡿⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⠔⣿⡿⡿⡤⠀⠀⢀⡤⠋⢠⠃⠀⠀⠀⠀⠀ ⠀⣠⣾⣿⣿⣿⣛⠷⣄⠀⣴⠟⠁⣠⡾⡵⣶⡀⠀⠀⠀ ⠀⡿⣿⣿⣷⣶⣯⡻⣞⣿⠋⠀⢰⢿⣸⣧⡈⠉⠢⢀⠀ ⠀⡇⣿⣿⣿⣿⣿⡷⣿⣿⢀⣶⣿⣼⣿⣿⡷⠀⠀⠈⢦ ⢸⣿⠈⠻⣿⣛⣛⣵⣿⡿⢂⡾⠿⣿⣿⣿⡇⠀⠀⠀⢀ ⠀⢸⡆⢀⣠⣄⢀⣸⡏⢀⣾⠀⠐⠒⢿⣿⠀⠀⠀⢀⠈ ⠀⢸⣿⣿⣿⣿⡿⣿⣀⡾⣷⣶⣤⣠⡶⠿⡀⠀⢀⡞⠀ ⠀⠘⣿⣿⣯⠭⢽⣿⣿⡶⠏⠀⠈⠁⠀⠀⢸⣦⡼⠁⠀ ⠀⠀⢹⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣀⠉⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣟⣟⠒⠒⠒⠒⠂⠉⠀⢰⡏⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⡀⠠⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣾⡍⠉⠉⠉⠁⠉⠁⢀⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢻⣧⣀⣀⣀⣀⣀⠴⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡠⠔⠚⠉⠉⠀⠀⠀⠀⠈⠉⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠔⠋⠀⢀⣠⠤⠒⢢⠀⠀⣴⠒⠦⢤⣀⠀⠈⠳⣄⠀⠀⠀⠀ ⠀⠀⢀⡴⠁⠀⣠⠖⠋⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⠈⠓⢤⡀⠈⠳⡄⠀⠀ ⠀⢀⡞⠀⢀⡼⠁⠀⠀⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⠀⠀⠀⠳⡄⠀⠙⣆⠀ ⠀⡞⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠸⡄ ⢰⠃⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⣧ ⢸⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸ ⢸⠀⠀⣧⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⡀⠀⠓⣄⠀⠀⠀⠀⠀⢸⠀⠀⣸ ⠘⡆⠀⠸⡀⠀⠀⣠⠞⠁⠀⣠⢾⠀⠀⢷⣄⠀⠈⠳⣄⠀⠀⠀⡞⠀⠀⡇ ⠀⢳⡀⠀⠳⣄⠔⠁⠀⢀⠔⠁⢸⠀⠀⢺⠈⠳⣄⠀⠈⠳⣤⡼⠁⠀⡼⠀ ⠀⠀⢳⡀⠀⠀⠀⢀⡴⠋⠀⠀⢸⠀⠀⢸⠀⠀⠈⠳⣄⠀⠀⠀⢀⡼⠁⠀ ⠀⠀⠀⠙⢦⡀⠀⠘⠦⣄⡀⠀⢸⠀⠀⢼⠀⠀⣀⡤⠚⠀⠀⣠⠞⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠦⣀⠀⠀⠉⠑⠊⠀⠀⠘⠚⠉⠁⠀⣀⡤⠚⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠦⠤⢄⣀⣀⡠⠤⠤⠖⠊⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠰⣤⣀⣀⣀⡤⠤⠤⣤⣤⡤⣄⡀⠀⠀⠀⠀⢀⣤⡤⡼⠤⠤⡦⠤⠤⠤⠤⡤⠤⠤⠤⠤⠤⠤⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⣶⡾⠵⠖⢲⠟⢉⣏⣠⠼⣦⡉⠁⠀⠀⠀⠀⠈⠉⡀⠙⠶⣄⠀⠀⢈⣇⣮⣷⡄⣀⣹⡄⠀⣤⣰⣶⣶⣄⣤⠴⣢⣤⣄⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠞⢋⡴⠛⠉⠀⠀⠀⢀⡴⠛⣿⡿⢭⡈⠧⠀⠀⠀⣤⡀⠀⣿⠝⣾⣦⣝⣧⣀⣸⣿⠿⠛⠟⠛⠛⠃⠠⣝⡯⠉⠈⠉⠉⠀⠀⢤⡸⢩ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⡇⢠⠟⠀⢀⡠⠄⢠⣶⡟⠀⠀⣿⣿⣤⣹⠀⠀⠀⣠⠇⠃⠀⠸⣆⠈⠛⣎⣻⡿⡿⠛⢧⢀⣸⣦⣀⣠⣤⣤⡄⠀⣧⣤⣤⠾⢦⣤⡄⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⣿⣠⠞⠁⠀⢠⠏⢹⠀⠀⠀⣿⠾⢦⡈⠀⠀⠘⠿⣗⡠⡄⠀⠘⡖⣆⢸⣿⣿⡅⠀⢸⠀⠙⢊⡉⠉⠉⠀⠀⠀⠈⠀⠠⣤⠀⠀⡠⠖ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣧⡀⠀⠾⠁⠀⠀⢠⡏⠀⠸⠀⠀⠠⣿⣧⡈⠃⠀⠀⠀⠀⠀⠹⣧⣄⠀⠀⠘⣿⣿⣿⠇⠀⠘⣇⠀⢿⣄⣀⣤⠄⢤⡤⡴⣾⠿⡏⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠠⣧⢏⠁⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⣻⢷⡀⠀⠀⠀⠀⣀⣴⣿⣟⣳⢦⡀⢨⠟⠁⠀⠉⠙⢿⡄⠈⠇⠍⠉⢀⣈⣀⣀⣀⣠⠤⠴⠖⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣏⠛⢳⣀⡀⠀⠀⢠⣜⣄⠀⠀⠀⠀⠀⢰⠃⣸⣷⣶⣶⣿⣿⣉⣀⣀⡀⠈⠙⣿⡿⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⣠⠴⠶⠛⠉⠉ ⠀⠀⠀⠀⠀⢤⡄⠀⠀⠀⠀⣀⣨⣷⣤⣇⠙⡆⠀⠀⢹⡌⠁⠀⠀⠀⢀⣠⠾⠟⠋⠉⠉⠉⠛⠻⠿⣿⣿⣶⣶⣼⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣷⣾⠁⠹⣄⠀⠀⠙⣶⠄⣠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⣿⡿⠛⠉⠀⠀⠀⠙⣦⣤⣤⣹⣷⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢽⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⡿⠋⠀⠀⢀⣠⠖⠊⠉⠉⢰⣿⠟⠉⠈⠉⢛⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣆⠀⠀⢀⣴⣶⠒⣶⣤⢤⡄⢸⣀⣀⣼⣴⣤⣤ ⠀⠀⢠⣾⣿⣿⠋⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⣿⣏⢠⣀⣠⣤⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣝⣋⣋⣷⡀⠀⠛⠯⠽⠛⢾⣿⣿⠋⠀⠀⠁ ⠀⠀⣿⣿⡿⠁⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⢿⣿⣌⣿⠟⠋⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⡄⠀⠙⣦⠀⠀⠀⢴⡏⢿⡍⠆⠀⠀⢀ ⠀⢰⣿⣟⣁⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡟⢹⠀⠀⢸⠀⠀⢀⣴⠇⠌⣷⡄⠀⠉⠉ ⠀⣾⣿⢏⡉⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⢸⠀⡀⣾⠀⠀⣾⣧⣀⣰⣿⡹⣄⣀⣀ ⠀⢿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣠⣵⣿⣶⣾⠿⠿⠀⠀⠘⠷⠛⠛⠛ ⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢋⣉⣁⡤⠤⠤⠤⠤⠴⠶⠒⠚⠛⠛⠛ ⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⣇⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠏⠀⠀⠀⠀⠀⠀⢀⣀⣤⣠⣾⣤⡤⠤⠶ ⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠘⣆⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠿⠖⠒⠒⠛⠛⠋⠉⢉⣡⠞⠋⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢮⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠰⡯⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢀⣀⠀⠀ ⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠤⠴⠶⠖⠒⠒⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠉⠲⢤⡀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠆⠀⠀⠀⠀⢰⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⡿⣿⡳⣦⣤⣀⣀⡀⠀⢀⣀⣀⣠⣤⠾⣻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡤⠖⠚⢿⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⢀⣠⣴⡞⠋⢁⡾⠰⣿⣷⣄⠈⠉⠋⠉⠙⠙⠉⠉⠉⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠤⠖⠚⠉⠀⠀⠀⠀⢸⡆⠀⠀⣿⠹⣿⠛⠛⠟⠛⠉⠩⣥⡀⣰⠿⠁⣸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⢾⡆⢸⣷⣤⣀⣀⡀⠀⠈⠛⠃⠀⣼⢋⣾⣿⣿⣜⢶⡄⠀⠀⠀⠀⣠⣤⣶⡟⣇⣈⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Warning: This item may contain sensitive themes such as nudity.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⠶⠶⠶⠶⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣾⣿⣿⣤⣤⣤⣤⣤⣤⣤⣼⣀⣠⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⢀⠜⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠉⠿⠏⠉⠉⠉⠉⠉⠙⠛⠛⠃ ⢸⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠁⠀⠀⠀⠀⠀⣿⣿⣿⠟⠉⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⡿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⠛⠉⠉⠙⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡟⠀⠀⠀⠀⠀⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠃⠀⠀⠀⠀⠀⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣋⣀⣀⣀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⡤⠤⠤⢤⡤ ⣿⣿⣿⠿⠟⠉⠉⠀⣹⣿⣋⣻⣿⡇⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠈⠀⠀⠀⠀⠀ ⠈⠉⠀⠀⠀⠀⠀⣴⡿⠁⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠘⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣇⣀⣤⣤⣤⣴⣯⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄ ⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋ ⠀⠀⠀⢀⣴⣿⣿⣿⣿⢿⠟⠛⡟⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠙⠀ ⠀⣠⣴⣿⣿⡿⠛⠉⠉⠣⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣶⣿⣶⡾⣶⣦⣽⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣯⠿⢿⡻⢿⢿⣿⣽⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣞⣻⣿⡿⢷⡾⢛⣿⣿⠿⣨⢙⣿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣻⣿⣣⢟⡽⣺⠟⡦⡙⢢⣵⡿⢃⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⡿⣻⣽⣿⡿⣿⢿⣿⣯⠷⢏⠚⠀⣵⣿⡟⢁⣎⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⣵⣿⣿⣿⢿⡿⣿⣶⣵⡪⠝⠀⣠⣿⣿⠋⣠⢣⣾⣿⣷⣶⣶⡄⠀⠀⠀⠀⠀⠀ ⠀⢠⣾⣿⣿⣿⣿⡿⡿⠿⢿⣶⣝⢿⣷⣌⣾⣿⠟⡁⠆⣽⣿⠿⢱⣯⠿⣧⣽⣄⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣽⣿⢻⣽⣿⣿⣶⣌⠻⣧⣽⣿⡿⢋⡘⢠⢃⣿⠿⣟⣽⣿⣟⡶⣥⣻⣳⣦⢄⡀⠀ ⠀⢸⣿⣟⣿⢳⣿⣿⣿⣿⣿⣿⡧⢹⣧⣿⡷⢀⣿⣠⣿⡿⣼⣿⣿⣿⣿⣿⣳⢧⣋⠿⣳⣧⠀ ⠀⣹⣿⣻⣿⣸⣿⣿⣿⣿⣿⣿⣟⣸⡿⣿⡷⢩⡿⣿⣻⣷⣿⣿⣿⣿⣿⣿⢯⡷⣩⠝⡑⢚⣧ ⢸⣟⡿⣷⢿⣧⡙⢿⣿⣿⢿⡿⣣⣿⣿⣿⣧⡿⢧⣿⣿⣿⣿⣿⣿⣿⣿⡯⢏⡳⢅⡲⢌⠢⢼ ⠈⠻⣽⣯⣻⡽⣿⣿⣶⣾⣷⡿⣿⡟⣾⠿⣡⣺⣿⢛⡝⣻⠿⣿⣿⣿⣿⡝⢢⠳⢌⠲⣅⠣⣾ ⠀⠀⢹⣟⡷⣻⢗⣯⣾⠳⣯⣽⢿⣻⠟⣰⣳⣿⡇⡝⢚⠛⡻⣿⣿⣿⡿⣜⠡⡎⣄⠳⣌⣹⡃ ⠀⠀⢸⣯⣷⣽⢿⣿⣿⣿⣮⣿⣿⡟⣸⣳⣿⢹⣷⣭⣎⠱⡒⣬⣽⣿⣟⢢⠏⡐⢄⢻⣼⠇⠁ ⠀⠀⢸⣷⡿⣿⢸⣿⣿⣿⣿⢼⣿⡇⣿⣿⡟⣾⣷⣻⣿⣧⣽⣿⢿⣛⢿⣤⠣⡘⠄⣿⡿⠀⠀ ⠀⠀⠘⣿⣿⡹⣷⣝⡿⣟⣫⣾⡿⣼⣿⣿⣾⡟⢀⠂⠍⠩⠍⢆⠯⣜⠫⢿⣷⡭⣞⣿⠁⠀⠀ ⠀⠀⠀⢹⡿⣿⣮⣽⣛⣻⣻⣭⣾⣷⣷⢟⡫⢅⡢⢜⡠⢁⠜⡠⢉⠌⣹⣾⣿⣿⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⢎⡵⢫⡜⣣⢞⡱⣊⠥⣋⣜⣼⢣⢾⣻⠅⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣾⣧⣛⣦⣏⣲⣥⣾⠶⢛⢥⣣⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣷⢭⠎⡍⣍⠩⣉⠉⢤⠠⡘⡄⢪⣿⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡳⣜⢦⣛⡴⡛⢆⢣⠑⣬⣳⡿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⢿⣿⣿⣿⣿⣾⣵⣫⣞⣵⣮⣽⣮⣾⠛⣡⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣷⣯⢎⡥⣍⠭⣩⢋⡭⡙⢆⠲⢬⣳⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣾⠽⣜⢮⣛⡦⢏⠶⣙⢎⡹⣲⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣾⣯⣿⣽⣯⣾⡽⠶⠟⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣷⣶⣶⣆⣀⢙⣳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣦⣤⣬⣭⣿⣿⣿⣿⣬⣭⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⢀⠜⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣷⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀ ⢸⣿⣶⡶⠿⢿⣿⣿⣷⣶⣿⣿⡟⠛⠛⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⢿⡿⢿⣿⣿⣿⣿⠿⣿⢿⠿⠛⠇⠈⠛⠋⠉⠁⠈⠉⠉⠁⠈⠉⠉⠉⠀ ⢸⣿⡇⠁⠈⠉⣠⣾⡿⠋⠉⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡿⡿⠛⢿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⡇⢀⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡿⠆⠃⠀⠠⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡟⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠃⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣯⠑⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠟⠓⠉⠉⠉⠒⢤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠋⠀⣠⠖⠉⠉⠉⠓⢤⠙⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⢁⠇⠀⡾⠁⡴⣮⣽⣽⡢⡀⢣⠘⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⣠⣾⠀⠀⡇⢸⢸⣿⣿⣿⣷⢱⢸⠀⢱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠉⣀⣴⣿⣿⣿⡀⠀⢷⡈⢮⡻⠿⢿⡣⠃⢸⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⢁⣤⣾⣿⠋⠁⠘⢿⣇⠀⠘⣧⠀⠈⠉⠉⠀⠀⢸⣀⡼ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣊⣠⢞⡽⠛⠋⠉⠀⠀⠀⠀⣿⣦⣀⠸⣆⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⣀⠔⣉⣴⡟⠀⠀⠀⠀⠀⠀⢀⣤⡶⠿⢛⣉⣭⣦⢹⡄⠀⠀⠀⠀⢘⣿⠀ ⠀⠀⠀⢀⣴⣾⣷⡿⠟⠉⠀⠀⠀⠀⠀⢠⣾⣿⣥⣶⠾⠛⠉⠀⠈⣆⢻⡀⠀⠀⠀⣸⡟⠀ ⠀⣠⣾⣿⠿⢿⡏⠀⠀⠀⠀⠀⢀⣠⡴⠞⠋⠉⢹⢿⣄⣤⣴⣾⡟⣋⣮⡛⠶⠶⣖⡿⠃⠀ ⢼⣿⡏⣿⣶⣿⣿⠀⣀⡤⠔⠚⠉⠀⠀⠀⠀⠀⠈⡌⣿⣿⣿⡿⢿⣿⣾⠿⠛⠋⠁⠀⠀⠀ ⠘⣿⣇⢹⣿⣿⣿⠛⣿⣦⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⣝⡿⣶⡿⠿⣫⠎⠀⠀⠀⠀⠀⠀⠀ ⢠⣽⣿⡿⠛⠋⠹⠀⢸⣿⡆⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣟⠛⢿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⢿⣿⣤⣰⣦⣴⣧⣀⣿⣥⣴⣶⡶⠾⢿⣿⣿⣿⡿⠖⠮⣿⡀⠷⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢹⣿⣿⣿⣿⢿⣿⣿⣴⣿⣆⠈⠙⢦⡀⣿⣿⡿⢿⠀⣠⣿⣷⣦⣄⠉⣷⠀⠀⠀⠀⠀⠀ ⣰⠃⣾⣿⣿⣿⣦⣿⣿⣿⣿⣮⣓⣄⣀⣷⣏⣿⣷⣼⠛⠋⠙⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀ ⠙⣷⢼⣿⣿⣿⣿⣟⣛⠛⣛⣿⣿⣿⠋⠉⣿⣼⣿⣿⠿⠑⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣶⣿⢟⣿⣿⣿⣛⠿⠿⣿⣿⣿⣿⣾⣿⣟⣿⠟⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⡉⠉⣸⣿⣿⣿⣿⣿⣶⣶⣶⣦⣽⡿⠛⠙⢿⡿⠀⠀⣀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⢻⣿⣿⡿⣽⡿⢿⣿⣿⢿⣿⣿⣷⣼⣄⣀⣠⠶⠋⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⣿⣷⣿⣿⣿⣿⣮⣝⠻⣾⣭⣿⣿⣽⠟⢁⣆⡤⠶⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠓⢤⣨⣿⣿⡿⠿⣿⣿⣿⣦⣤⣾⣿⠆⣾⠋⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡞⢿⣾⣧⣾⣷⣦⣭⣛⠻⠭⠿⠥⢾⣧⣀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠒⠢⠬⢉⣛⣛⠛⠛⠛⠒⠒⠒⣛⣻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢙⣆⠀⠀⠀⠀⠀⠀⣠⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⠙⠾⢧⡀⠀⠀⡤⠚⠁⣠⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⣠⠞⡻⣤⡞⣷⣴⡿⠛⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⡟⠫⣵⡿⣿⣌⣿⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡞⢿⡙⢯⣢⡈⣿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠻⣧⡙⣦⣿⣿⡷⣿⡿⣤⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣟⠻⣌⣷⣼⣿⣿⢿⣉⣷⠿⠀⠀⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⣟⢧⣘⣦⣿⣿⡿⢯⣹⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢾⢿⡘⢦⣸⡿⣿⣿⠿⣍⣿⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠿⣵⣆⢀⣤⣽⣧⡈⣧⣽⣾⣯⣿⢿⣾⣷⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢖⡿⠞⠁⠀⠀⣸⣈⢾⣿⡻⣷⣿⣿⡿⣟⢳⣽⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⣩⠴⠋⠀⠀⢀⣴⡾⢟⣉⣧⡹⣿⣿⣿⣯⣧⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⢉⡠⠚⠁⠀⠀⣠⣶⠿⣫⣴⡟⢋⣽⣿⣽⣿⡿⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠧⡰⠋⠀⠀⢀⣴⡿⢛⣵⡾⣏⣹⣿⡿⢟⣵⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠛⣫⣇⣀⣠⠖⠉⢈⣷⣿⣁⣴⣿⢿⣟⣻⡿⠋⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢸⣁⣴⡿⠓⠶⠞⠁⢀⣽⣿⣮⣵⡿⠟⠁⠀⠀⠀⠀⢀⣽⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡜⣲⣆⡞⢀⠔⣯⣷⣖⡿⠋⠁⠹⣿⣷⣄⠀⠀⠀⠀⣤⣿⣿⣏⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣞⡿⢿⢛⣵⣾⣻⠟⠁⠀⢠⡀⢀⡬⠗⠚⣧⡀⣠⣾⣿⣟⠙⢿⣷⣌⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣝⣋⣴⣿⣛⣿⣿⡀⣶⡦⠀⠈⣵⣏⠀⠀⢀⣿⠿⢿⣿⡻⣝⢦⡀⠹⣝⢦⡙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⢿⣏⣙⣞⣿⡿⠀⠈⠋⠀⣀⡴⠚⢦⡯⣝⣓⡶⠟⠁⠀⠀⠻⣟⢮⡳⡙⢦⡈⠱⣝⣦⡈⣲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⢈⣿⣿⡉⠁⠹⠞⠉⠉⠳⣿⣇⣀⣀⣷⠴⠋⠀⠀⠀⠀⠀⠀⠈⠳⣝⢯⡢⣙⢦⣄⠙⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠁⠀⠀⣠⣴⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⣿⡏⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣝⢮⡳⣽⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⣴⠞⠉⠀⠀⢀⣤⣾⣿⢟⣽⣤⠀⠀⠀⠀⠀⠀⠀⠀⣷⡇⠀⠀⢿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣴⣿⡿⠋⠁⠀⠀⣠⣶⣿⣿⣫⠗⢋⣤⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⠁⠀⠀⢀⣴⣾⣿⠟⠁⡞⢁⣴⠻⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⢷⣤⣾⣿⠿⣫⠟⠀⡼⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡤⢤⣞⠽⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⡳⠋⠁⠀⣰⠧⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣦⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣦⣤⣤⡀⠀⠀⣶⠀ ⢸⣿⣿⣿⣿⣿⣿⡿⢿⣿⡿⠟⢻⣿⣿⡟⠛⠛⠛⠉⠙⠛⠋⠀⠈⠉⠀⠈⠉⠁ ⢸⣿⠿⠟⠋⠉⠀⢀⣾⡿⠉⠀⠈⠸⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠹⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣄⠀⣤⣤⣤⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣶⣿⡋⢉⣿⣿⠽⣿⣗⡉⢹⣻⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⣿⣶⠿⢿⠷⠟⠛⠁⠀⠈⠙⠻⢾⠿⣿⣤⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣁⣠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠿⢻⣧ ⠀⠀⠐⣶⢤⣀⡀⠀⠀⠀⢀⣿⠀⢾⡀⠀⠀⠀⢀⣀⡤⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣘⣿ ⠀⠀⠀⢹⣴⡀⠹⣷⣤⣾⣿⣿⣧⣾⣿⣷⣤⢼⡿⠛⢡⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡿⠟ ⠀⠀⠀⠀⠱⣽⣦⣈⣿⣻⣿⡿⢿⣿⣿⡟⣷⡋⢠⣶⣏⣀⡀⠀⣠⣤⣤⣤⣤⡀⣰⣿⣁⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣷⡀ ⠀⠀⠀⠀⢠⣿⣿⣛⣵⣿⣿⣄⠀⠈⠻⣿⣮⣟⣿⣿⡫⢿⣿⢾⣿⣿⣉⣛⣿⣿⠛⠿⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⢹⣿⠁ ⠀⣀⡤⠤⢾⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣸⣿⣿⣿⢿⣿⣿⣧⣀⠉⠉⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣸⣿⣿⡿⠃⠀ ⠙⠿⢶⣶⣶⣧⣿⣿⣿⣿⣿⣿⣦⣉⣻⣿⣿⣿⣿⣸⣄⣀⡩⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⣰⣿⣟⠛⠻⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠋⣿⣿⠋⠻⠿⠿⠟⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⡟⠻⣮⣿⣿⣿⣿⣿⣿⣟⣴⠛⢯⣯⡀⠀⠀⠀⠀⠀⠀⠀⠐⣶⠦⣄⡀⣀⣠⣶⣦⣼⣿⣿⡾⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠎⠁⣠⢞⣽⣿⣿⣟⣛⣻⣿⣿⣿⣦⡀⠱⣿⡄⠀⠀⠀⠀⠀⠀⠀⠙⣷⣄⣽⠉⠻⣧⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣰⠿⠚⠉⠀⠉⠙⡏⢸⣿⠛⠉⠀⠈⠳⠦⣍⣷⡀⠀⠀⠀⠀⠀⠀⠀⣾⡉⢿⣯⣷⣈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢻⣸⡟⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣠⡾⠛⢻⣦⣀⣿⡄⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢋⣼⣷⡾⠏⠉⠈⠛⠲⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣫⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣫⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣫⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣯⣾⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⣫⣾⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⣩⣾⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⣩⣾⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⣡⣾⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⣡⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⣻⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⣧⡀⠀⠀⠀⣀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠉⣱⣄⣀⣎⣁⣴⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠗⣪⣶⣮⣻⠟⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠻⣝⣷⣌⣿⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⣝⣦⣷⣿⢿⣻⠛⠳⠦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⡿⡍⣦⣿⣿⣿⣻⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⢀⣴⣾⢯⢳⣼⣻⣿⡿⣭⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠞⠋⠻⣧⣰⣾⣷⣼⣿⣿⣿⣏⣷⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢔⡩⠊⠁⠀⣠⡾⢲⣝⢿⣿⣿⣿⣹⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠒⣉⠔⠉⠀⣀⣴⢟⣽⣾⣫⣿⣯⣿⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡞⠁⢀⡠⢺⣋⡷⢛⣷⣿⣿⣿⠿⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⡖⣳⣶⢉⡤⠚⢻⣷⣿⣿⡿⠚⠁⠀⠀⠈⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢗⣮⡝⣠⣼⣷⣶⠟⠉⠹⣿⣄⡀⠀⠀⣠⣾⣿⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠿⣻⣯⣿⡿⢋⠀⠀⢆⡠⠚⠉⣷⣤⣾⣿⣏⠙⢿⣮⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⡟⢻⣾⣿⠓⠻⠇⠙⡡⢤⣿⣷⣤⡴⠛⠉⠻⣿⣾⣷⣄⠙⢷⢬⡣⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠁⠀⣻⣿⠉⠙⠖⠀⠒⣾⣇⡀⣱⠜⠋⠀⠀⠀⠀⠈⠺⣿⣮⣷⣤⣙⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⠀⢀⣴⣾⡟⠋⠀⠀⠀⠀⠀⢻⡇⠀⢹⣦⡀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⠿⠋⠀⢀⣠⣾⣿⡿⢛⣻⠀⠀⠀⠀⠀⠀⢸⡇⠀⠸⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡟⠁⠀⣀⣴⣿⠟⠹⢋⡴⠿⠇⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠛⣦⣾⣿⡫⠋⢠⢃⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣴⠾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣏⠀⢀⡞⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢷⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢦⣤⣴⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣿⣆ ⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠏⠉⠉⠉⠉⠉⠉⠉⠉ ⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⣿⣿⣿⢿⣿⠛⠿⡿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⠁⠀⠈⠇⠀⢿⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⣿⡇⠀⠀⠀⠈⠂⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀ ⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀ ⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀ ⠀⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⢿⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀ ⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⢿⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⡿⣽⣻⡽⢯⡿⣽⣫⡟⣽⣫⢟⣽⢫⡟⣽⢫⡟⣭⡻⣭⢻⡭⢯⡽⣭⢯⡽⣭⠻⣜⡣⢟⣜⡣⢟⡜⣣⢛⡜⣣⢛⡜⣣⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⡱ ⣿⣷⣻⣟⣾⣳⢿⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⡷⣯⣟⡷⣯⡽⣯⢷⣏⡷⣽⣣⢯⣟⢮⣯⢽⣚⡷⣹⢧⣻⡜⣧⣛⢧⡻⣜⢮⡳⣭⢻⡔⣏⡳⢎⡝⢮⠼⣱⢫⠼⣱⢫⡜⡱⢎⠶⡱⢎⠶⡱⢎⠶⡱⢎⠶⣙ ⣿⢿⣽⡾⣷⣟⣯⢿⡾⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⣞⣯⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣽⣻⢾⣽⣻⢾⣽⢾⣯⢷⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⢯⣟⡷⢯⣟⡷⣻⣵⡻⣾⣱⢷⣫⠷⣞⢯⡞⣧⢟⡼⣏⢷⣣⢟⡵⣫⢞⡽⣎⢷⡹⣞⢣⡞⣱⢭⡛⡼⣙⡞⣥⣋⢗⣣⠳⣜⡹⢎⡳⣙⢎⡳⣙⢎⡳⣙⢮⡹⣒ ⣿⣯⣷⢿⣳⣯⣟⣯⡿⣽⢯⣿⢾⣽⣻⢾⣽⣻⣞⡷⣯⢷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢯⣷⣟⡿⣞⡿⣞⣯⡿⣞⣷⣻⣞⣷⣻⣞⣷⣻⣾⣽⣿⣾⣿⣿⣾⣿⣷⣿⣷⣯⣟⣾⣭⢿⡹⣾⣹⢮⣏⢷⣫⢞⡵⣫⢷⡹⣎⢷⡹⣎⠷⡭⢮⡕⣏⠶⣹⢱⢣⠞⡴⣩⠞⡴⣋⠶⣙⢮⡱⣍⢮⡱⣍⢮⡱⡍⢶⣑⢣ ⣿⡾⣽⡿⣽⡾⣽⣳⡿⣯⣟⣾⣻⢾⣽⣻⣞⡷⣯⢿⡽⣯⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣟⣾⣽⣻⡽⣟⣯⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣛⡾⣼⢣⡟⣮⢳⡝⣮⢳⡝⣮⠳⣭⢛⡼⢣⢞⡬⡳⣍⢎⢧⡛⡴⢣⡛⡴⣍⢞⡱⢎⡵⣊⠶⡱⢎⡖⣱⡙⢦⡍⡖ ⣿⣻⣽⣟⡷⣟⣯⡷⣟⡷⣯⢷⣻⣟⣾⣳⢯⡿⣽⢯⣟⡷⣯⢷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⣟⣯⡷⣯⣷⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣵⣫⢞⡵⣏⢾⡱⢯⡞⡵⣛⢦⣛⡼⣍⠾⣰⠳⡜⣎⠶⡹⣜⢣⡝⡲⣍⢮⡱⢫⠴⣩⠞⣡⠳⡜⡥⣚⢥⡚⡜ ⣿⣽⣳⣯⣟⣯⡷⣟⣯⢿⡽⣯⢷⣻⢾⡽⣯⢿⣽⣻⢾⣽⣻⢯⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⢿⡽⣞⣯⢿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡽⢮⡝⣧⡛⣵⡩⢖⣣⠞⣬⠳⣥⢛⡼⣌⢳⡱⢎⢧⡚⡵⣊⠶⣉⢧⢛⡤⣛⠴⣋⠼⡱⡜⣆⢧⡙ ⣿⢾⣽⡾⣽⣳⣟⣯⣟⣯⢿⡽⣯⣟⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⡞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⢿⡽⣯⣟⣯⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⢟⠶⣙⢦⡛⡵⢪⡝⢦⡛⡴⣋⠶⣩⢖⡹⢎⠶⡹⠴⣩⠞⡱⢎⡣⠞⡴⢋⡼⣡⠣⡵⣈⠦⣙ ⣿⢯⣷⣟⣯⡷⣯⣷⣻⣞⣯⣟⣷⣻⣞⡿⣾⣽⣻⢾⡽⣻⡞⣷⡻⢷⣛⣾⣳⣟⣾⣳⣯⡿⣽⢯⡿⣽⣳⣟⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣟⣿⢻⡽⢺⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢯⡹⣆⠻⣜⢣⠞⣥⢛⡴⣩⢞⡱⢎⡵⢋⡞⣱⢋⠶⣉⠷⡩⢞⡱⣘⠣⢖⡡⢓⡴⣉⠖⣡ ⣿⣻⢷⣻⡾⣽⢷⣯⢷⣻⢾⡽⣞⡷⣯⣟⣷⣳⢯⣟⢾⣳⢟⣳⣟⣯⣟⣾⣳⡽⣞⡷⣯⢿⡽⣯⣟⣷⣻⣞⣿⣿⣿⡟⢥⠲⡝⣾⣟⣿⣿⣻⣿⣟⣿⣯⢿⣞⣷⣻⣽⣚⠷⣘⢧⡚⡕⢦⢫⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⢣⡭⢳⢬⢣⡛⡴⣋⠶⡱⢎⡵⢋⡜⣣⠞⡥⢫⡜⡱⢎⡱⢎⠴⢣⡙⢦⡙⢦⠱⣌⠚⡤ ⣿⣽⣻⢷⣻⢯⣟⡾⣯⣟⣯⢿⣽⣻⢷⣻⢮⣽⣳⢯⣻⣭⡟⣷⣞⣳⣞⡷⣯⢿⡽⣽⣏⣯⣟⣷⣻⣞⣷⣻⣿⣿⠫⠄⣉⣳⣽⣼⣿⣿⣿⢿⣟⣿⢯⣟⡿⣞⣷⡳⢞⡜⢢⠏⡖⡩⢞⡥⣛⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢣⢞⡱⢎⢧⡙⢶⡩⢞⡱⣋⠶⣩⠞⣡⠞⣱⠣⡜⡱⢊⠖⡩⢎⡱⡘⠦⡑⢎⡱⢌⡓⡔ ⣿⢾⣽⣻⣯⢿⣽⣻⢷⣻⣞⣯⢷⡯⣟⣞⡿⣼⢏⣯⢷⣳⣻⣳⣞⢷⣫⣟⡷⣯⣟⢷⣻⢮⡽⣞⣷⡻⣞⣿⣿⠁⠳⢾⣧⣽⣞⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⣿⡝⣮⢞⡳⣎⠳⡵⢊⡴⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢮⠳⣍⠶⣙⢦⡙⣎⠵⣊⠗⡱⢎⡱⣊⠥⡓⣬⢱⡉⢎⡱⢊⠴⣡⠣⣙⠢⡑⠦⡱⢌ ⣿⢯⣟⡷⣯⣟⣾⡽⣯⢷⣻⣞⣯⣽⣻⣼⣛⣾⣛⡾⣏⡷⣏⡷⣞⣯⢷⢯⡽⣶⢯⣛⣧⢿⡽⣳⢾⣽⣻⣿⠃⢉⡷⣿⣹⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⡿⣯⢟⡞⣞⡳⣜⣫⡑⠳⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢌⡳⢬⢳⡩⢖⡹⡸⡜⡡⢏⡕⢎⡱⣉⠖⡱⢢⠱⡘⠦⡑⣍⠲⢄⠳⣄⢣⡙⢆⡱⢊ ⣿⣯⢿⡽⣷⣻⣞⡿⣽⢯⣷⣻⢮⢷⣳⣳⠿⣜⣯⢷⣏⡿⣽⣹⢯⣞⣯⢯⣟⡾⣽⣛⣾⣫⡽⢯⣷⣫⣿⡟⢠⣯⣄⢿⣿⣿⣿⡧⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡱⢦⡝⢳⡒⠦⡄⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡱⣋⠶⣙⢎⡵⢱⠱⣙⠲⡘⢎⡱⢌⢎⡑⢣⠱⣡⢣⡑⠦⡙⣌⢃⢆⠣⡜⠢⣅⠣ ⣿⣞⣿⡽⣷⢯⡿⣽⣻⣟⡶⣯⢟⣯⣗⡯⣿⠽⣞⣯⢾⣝⡧⣟⡧⢿⣜⡯⢾⡽⣞⡽⣶⢏⣿⣛⡶⣯⣿⠇⠿⢱⣿⢸⣿⣿⣡⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣎⠧⡝⢲⠱⣌⡠⢘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠳⣍⢞⡱⢎⠴⣋⢜⣢⡙⡱⢣⠜⡌⠦⣙⢂⠳⡐⠦⣑⢣⠱⡌⠎⡜⢢⡑⢣⠆⢣ ⣿⡾⣽⣻⡽⣯⣟⣷⣻⠾⣝⣳⣟⣞⡾⣽⢞⡿⣽⣺⣝⣮⡽⣞⡽⣏⡾⣝⣯⠾⣽⣹⢞⣟⣮⢿⣱⢯⣿⠀⣐⡊⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣜⢣⠷⢤⡡⠉⠆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡵⣊⢮⡱⢍⡲⢩⡒⢤⢣⡑⢣⠚⢬⡑⢢⢍⠲⣉⠖⡡⢎⠱⡘⡜⣠⠣⣘⢂⢎⡡ ⣿⡽⣷⢯⣟⣷⣻⢾⣽⣻⡽⣳⢾⣝⡾⣭⢿⣹⢧⢷⢾⣱⡟⡾⣵⢏⣷⢻⡼⣻⡵⢯⣾⣹⢮⣯⣻⣿⣧⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣶⣭⡞⢣⢏⣬⡱⡌⢒⡠⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢲⠍⣦⠱⡎⡜⣡⠚⡔⢢⡙⢢⡙⢦⡘⢥⢊⠵⡨⠜⡐⢎⠱⡐⢆⡡⢒⡡⢊⠴⡐ ⣿⣳⣟⡾⣽⢯⣟⡾⣽⣫⢷⣻⣞⣽⣳⣛⣞⢯⣞⠾⣼⢏⣷⡳⡽⣞⡽⣞⢧⡿⣱⠾⣭⡟⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠾⢞⡩⣇⠣⠌⡑⢺⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⡑⢎⡴⢩⡒⢥⠣⣍⠲⣑⠪⡑⢎⡱⢨⠱⡌⢚⠤⢃⠲⡑⡌⢆⠓⡌⢃⠎⡱⠘⡄⢣ ⣿⡽⣞⡿⣽⣻⢾⣽⣳⢯⣟⡵⣞⣧⢷⡻⣼⢏⣾⢻⡽⣺⢧⢿⣹⢾⣹⡞⣯⠾⣝⡯⣗⢿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣖⣿⢯⢀⢒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡶⡷⣎⠷⣤⢓⡒⣩⢒⣿⣿⣿⣿⡟⡹⠋⢴⣆⡘⣿⣷⣏⢲⡘⢥⡙⢆⠳⣨⠱⠌⡥⣙⠢⣅⠣⢃⠍⡆⠣⠍⠦⡑⠌⡌⠱⡈⠆⡜⢠⠃⡜⢠ ⣿⡽⣯⣟⡷⣯⣟⡾⣵⣻⠾⣽⣻⡼⣳⢏⣷⢻⢮⣏⡷⣏⢿⡺⣽⣚⣧⢟⣧⢿⣹⢾⣹⢾⣹⢟⡿⢥⣼⣿⣿⣿⣿⣿⣿⣿⣿⢳⠚⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣭⡛⠿⡵⣉⠞⣩⠳⢦⡀⢎⣽⣿⣿⣿⣇⢠⣅⠮⠿⢿⠿⣿⣗⠦⣙⢢⡙⣌⠳⣄⠫⡜⡰⢡⠣⡔⢩⢊⠜⡰⢩⠘⡰⢁⠞⡄⢣⠑⡌⠔⡡⢊⠔⡡ ⣿⣽⣳⣯⣟⡷⣯⣟⣳⣽⢻⣳⣭⠷⣏⣟⡮⣟⡽⢮⣗⢯⡯⢷⡳⣏⣾⢫⣞⣳⢯⢾⣹⡞⣽⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡭⣇⡋⡔⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢮⡓⢦⡙⣷⡳⣬⣦⢥⡛⣤⡙⣦⣿⣿⣿⣿⣏⣿⢸⣿⣿⣿⣿⣾⣿⡜⣌⠣⣜⠰⢣⢌⡱⢢⢙⣂⠳⢌⡡⠎⢆⡑⢢⠡⡑⢊⠴⡈⢆⠱⣈⠒⡡⠎⡰⢁ ⣿⣞⣷⣻⢾⣽⣳⢯⣷⢫⣯⢷⣚⣯⡽⣞⡵⣯⢽⡻⣼⣛⠾⣯⢽⡳⣽⢻⡼⣽⡺⣏⡷⣽⢣⣟⡞⣿⣾⣥⣿⣿⣿⣯⣿⡳⢷⡈⡑⠌⢠⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣶⣍⢏⡞⣴⣙⣦⡹⢆⣿⣴⣽⣾⣿⣿⣿⣿⠐⡻⢷⢩⣿⣿⣿⣿⣿⡗⣨⠱⣌⠹⣂⠎⡔⢣⢌⠢⢃⠆⢢⠍⢢⠘⡄⢣⠘⣐⠢⡑⢌⠢⡁⢎⠰⡁⢆⠡ ⣿⢾⣳⣯⢿⡾⣽⣻⣼⣻⢞⣽⣹⢶⣻⢼⣻⢼⣳⡻⣵⣫⢟⡮⣗⣻⡼⣳⡽⣖⣻⡝⣾⡱⣟⢮⣽⡟⢻⣿⣿⣿⣟⣿⣯⢳⣦⣷⣶⣿⣿⢿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣼⣆⢳⣎⠿⣖⣾⣿⣾⣿⣿⣿⣿⣿⡀⣟⢈⣦⣹⣿⣿⢿⣿⠓⡤⢓⣌⢣⠱⡊⢜⡂⢎⡱⢊⡜⢄⠚⡄⢣⠘⡄⢃⠆⡱⢈⠆⡱⢈⠆⡱⢈⠄⡃ ⣿⢯⣟⡾⣯⣟⡷⣯⢶⣏⣟⡮⣗⣻⡼⣏⡾⡽⢶⡻⣵⢫⣾⡹⣞⡵⣫⢷⣹⢞⡵⣻⢖⣻⡝⣾⣿⠁⠰⠟⣿⣯⢸⣿⣯⡧⣴⣠⣴⣶⣦⣄⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿⣿⣿⣮⣷⣾⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣟⠃⢿⣿⠟⣽⣿⣿⠣⡙⡔⢣⠜⣢⠣⢍⠢⡙⢄⢢⠡⡘⢄⠣⡘⢄⠣⡘⢄⠊⡄⠣⡐⢄⠃⡔⢠⠃⡌⡐ ⣿⢯⡿⣽⣻⢾⡽⢯⡷⣞⢧⣟⣭⠷⣝⡾⣱⠿⣭⢗⣯⢳⡞⣵⡻⣼⣛⢮⡗⣯⡝⣧⡟⣧⢻⡞⣿⠀⠀⣦⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣹⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣛⣷⠿⣫⣾⢃⠧⡱⡘⢥⠚⣄⠳⣈⠱⡈⢆⠢⡑⢌⠢⡑⢌⠢⡑⠰⡈⢆⠡⢃⠌⡂⠜⡠⢂⠅⢢⠁ ⣿⢯⣿⣳⣟⣯⣟⣯⠷⣏⡿⡼⣞⢯⣻⠼⣏⣟⢮⣻⡜⣯⢞⣳⡽⣣⢯⣳⢻⡼⣽⢲⡟⣼⡳⣏⢿⣆⠀⢿⣿⣿⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠶⢟⣿⢅⠺⡰⢡⡙⠤⢋⠤⠓⡄⢣⠘⡄⢣⠘⡄⢣⠘⠤⡑⢨⠑⠌⡄⢃⠢⡘⠄⡃⠔⣁⠊⡄⢃ ⣿⣻⣞⡷⣿⢮⡽⣞⣿⡹⣞⡽⣞⢯⣳⢻⡝⣮⢟⡶⣻⡝⣞⣧⢻⡵⣫⣗⢯⣳⡭⢷⣫⢷⡹⣎⡯⢿⣆⠘⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢀⢻⡯⢌⢣⡑⢧⠘⡥⢋⠌⡓⢌⠢⡑⢌⠢⡑⢌⠢⢉⠆⢡⠂⡜⡐⢌⠂⡅⠢⡑⠌⢒⡀⠣⠌⡄ ⣿⣳⢯⡿⣽⣏⡿⣽⣲⢟⡽⣞⣭⢷⣫⢟⡼⣏⡾⣳⢧⣛⢷⡺⣝⡾⡵⣞⢯⡖⣯⡳⣝⡮⢷⡹⣞⣻⣿⡄⣿⣿⣿⡟⢛⣫⣿⣿⣿⣿⣿⣿⠟⣿⠛⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⣹⡟⣌⠲⣡⠊⡕⢢⠡⢚⠰⡈⠖⡡⢊⠔⠡⢂⠱⡈⢌⠂⡅⢒⡈⢄⠣⡐⢡⠂⢍⠂⡌⢡⠒⠠ ⣿⡽⣯⣟⡷⣯⢷⣳⡽⢾⣹⡞⡽⣎⡷⣫⡽⣞⡵⣛⣮⢟⣮⢽⣣⢟⣵⢫⡾⣹⢖⣯⢳⡝⣧⢻⡜⣷⣿⣿⣿⣿⣿⣴⣿⡿⡏⢻⣿⣟⣤⣽⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠠⢚⡯⣐⠣⢆⠹⣠⢃⠣⢌⠢⡑⠌⠴⢁⢊⠱⡈⢆⠘⡠⢃⡘⢄⡘⢄⠢⢑⢂⠩⢄⠊⡔⠡⠌⡡ ⣿⣽⣳⣯⣟⣷⣛⣶⢻⡝⣧⡻⣝⢾⣱⣏⢷⣹⢞⡽⣎⢿⡜⣧⣛⠾⣜⢯⣳⣛⠾⣜⢧⡻⣜⢧⡻⣜⣿⣿⣿⣿⣿⣿⡟⠳⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠌⡐⢫⢄⠫⡜⢠⢃⠌⡒⢌⠢⢑⠊⡄⠣⢌⠰⡐⡈⢆⠡⢂⠔⡂⠔⡈⢆⠡⢊⠰⡈⠒⢄⠣⡘⠠ ⣿⣞⣷⣻⣞⡾⣝⡾⢯⣽⢺⡵⣏⡟⣶⡹⣞⡽⣚⡷⣹⢮⡻⣵⢫⡟⡽⣎⠷⣭⣛⢮⡳⣝⢮⡳⣝⡞⡶⣿⣿⣿⣿⡿⠈⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠬⣙⠆⢳⠘⠤⣉⠆⡱⢈⢆⠡⢊⠰⡁⢆⠡⢂⠱⣀⠣⠌⢒⡈⢆⠡⢂⠱⡈⠤⢡⠉⡂⢆⠡⡁ ⣿⢾⣽⣳⢯⣟⡽⣞⡿⣜⣳⡽⣺⡝⣶⢫⢷⡹⣝⠾⣭⣳⢻⣜⡳⣽⢳⣭⣛⢶⣭⢳⡝⣮⢳⡝⣮⣝⡳⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡈⠴⣈⢏⠰⣉⠒⡡⢊⠔⡡⢈⠆⡡⢒⠈⡔⡈⢆⠡⡐⢂⡑⠢⡐⢂⠅⡊⠔⡠⢃⠢⡑⠨⠄⡃⠔ ⣿⣻⢾⣽⣳⢾⣹⣳⢽⡺⣵⢫⢷⡹⣞⡽⢮⣽⣚⢯⣳⢭⣳⢭⣳⢭⣳⢮⡝⡾⣜⢧⡻⣜⢧⡻⢶⣭⢳⢧⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⡐⢈⠲⢡⢎⡱⢄⡩⢐⠡⢊⠄⣃⠰⢁⠢⡑⠰⡈⢄⠃⡔⣁⠢⡑⢄⠃⡌⠰⣁⠒⡄⢃⠌⡑⢌⠰⢁ ⣿⣽⣻⢾⡽⣞⣧⢟⣞⣳⡭⣟⢮⢷⡹⣞⣳⢮⡝⣾⣱⢻⡜⣧⣛⢮⡳⣏⢾⣱⢏⡾⣱⢏⡾⣹⢳⣎⡟⡾⣴⢛⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠭⡀⢡⠌⡡⢂⡅⢺⡔⡨⢔⡡⢊⡅⢒⠠⡑⣈⠒⡈⢅⠒⣈⠒⡐⢄⠒⡨⠐⡌⠰⣁⢂⠒⡈⢆⡘⠰⢈⠢⢁ ⣿⢾⡽⣯⢷⣻⢮⣛⣮⢳⣝⣮⣛⢮⢷⡹⣎⢷⣹⠶⣭⣳⣛⠶⣭⡳⣝⡞⣧⣛⢮⣳⡝⣮⢳⣝⡳⢮⣝⡳⣯⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡁⠞⡌⠐⡤⠂⠤⢡⠘⣐⠣⣏⡐⠆⡔⣡⠈⡆⡑⠰⣀⠃⡜⢠⢊⡐⢌⠰⣈⠂⡅⢃⠌⡡⢐⢂⠱⢈⠆⢌⠡⢊⠄⠡ ⡿⣯⣟⡷⢯⢷⣫⠷⣭⢷⣚⢶⡹⢮⡳⣝⢮⣳⢭⣛⢶⣣⢏⡟⡶⣝⢮⣝⠶⣭⡳⢧⣻⣜⡳⢮⣝⡳⢮⣽⣟⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣍⡳⢍⢦⣹⡰⢬⠑⡠⠨⠰⢀⣋⠄⠳⣼⡄⣙⠰⢠⡘⠤⣁⠣⡐⢌⡐⢢⠐⡰⢈⠢⠄⡃⠔⣈⠢⠑⡂⢌⠢⡁⢎⠠⠃⡄⢊⠐ ⣿⢷⣯⣟⢯⢷⣫⣟⢮⣳⡝⣮⣛⢧⣛⢮⡳⣝⡮⣝⣮⢳⣏⣞⡳⣝⠾⣜⡻⢶⣹⢳⡳⢮⣝⡳⢮⣝⡳⣞⢿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣭⢻⣌⠳⣭⢖⣦⠳⣌⢌⠡⢁⠒⢡⠈⢎⠡⠜⣷⡈⠜⣠⠘⡰⢀⢣⠘⡄⠒⡄⢣⠐⡡⢂⠱⢈⠒⡠⢁⠣⢘⠠⢂⠅⢊⠐⠡⠐⠂⠌ ⣿⣻⢶⢯⣛⡾⡵⣞⢯⢶⡹⣖⢯⡞⣭⣳⢻⣜⡳⣝⢮⡳⣞⡼⣳⢭⣛⣮⡝⣧⢏⡷⣹⢳⢮⣝⡳⣎⠷⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯⣽⣳⢮⡳⣎⡳⡼⡞⡴⢫⡜⠌⢦⠉⠈⠄⡐⠂⡜⢨⢽⣿⡔⢂⠱⣀⠃⢆⠱⣈⠱⡈⢆⠱⣀⠣⡘⢄⠣⡐⢡⠊⡄⠣⢌⠘⡀⢊⠡⠌⠡⢈ ⣟⡷⢯⣟⡽⣺⣝⢾⡹⣎⢷⡹⢮⣝⠶⣭⡳⢮⣝⢮⡳⣝⢮⡳⣝⢮⣳⢮⣝⢮⡻⡼⣭⣛⠾⣜⡳⣭⣛⠶⣭⢿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣟⡳⢞⡥⢯⡽⣭⢳⢧⡹⢜⣣⡙⢾⡀⠎⠡⠀⢄⠡⡀⠣⢎⢿⣿⣧⣖⡠⢉⠆⡒⠤⡑⡈⢆⠱⣀⠣⡘⢄⠣⡘⢄⠣⡘⠰⡈⠆⡁⠢⠐⡈⢂⠁ ⣯⣟⣟⣮⡽⣳⢞⣯⢳⡝⣮⢽⡳⣎⡟⡶⣝⢯⡞⣧⣛⢮⢷⡹⣞⢧⣛⠾⣜⢧⡻⣵⢣⣏⠿⣜⡳⢧⣏⠿⣜⡧⣏⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⢾⡸⣹⡍⣞⣱⠞⣥⢻⢦⡙⣦⠧⡙⢦⡑⢎⠡⡀⠆⠰⢀⢣⠘⡼⣷⣏⡿⣿⣶⣾⣤⣵⣠⡑⣈⠒⠤⢑⠰⡈⢆⠱⡈⢆⠡⢃⠜⡠⠑⣂⠑⡠⠁⠌ ⣷⣻⡼⢶⣻⢵⣫⢞⣧⢻⡜⣧⢻⡼⣹⢳⡝⣮⡝⡶⣭⣛⢮⣳⡝⣮⣝⡻⣜⢧⡻⣜⡳⣞⡽⢮⣝⡳⣎⠿⣜⡳⣝⠾⣭⣛⠿⡿⢿⠿⣿⢿⣿⠋⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣞⡧⢷⡩⡜⠶⣥⢯⡙⣧⣾⠵⣣⠝⣌⠣⡜⢢⠡⡁⠂⠅⣂⠢⠘⢤⢫⡝⣻⣷⣻⢞⣽⣻⣟⣿⡿⣿⣶⣮⣴⣡⣈⠆⡑⠌⢢⠁⢎⡐⠡⡀⠎⢠⢁⠂ ⣷⣳⢻⣏⣞⢧⣛⡾⣜⢧⡻⣜⣧⢻⡵⣫⢾⡱⣏⢷⣣⢟⣮⢳⡝⡶⣭⢳⡝⣮⢳⣭⢳⡝⣞⡳⢮⡝⣾⡹⢧⡻⣜⡻⢶⡍⡷⣍⣛⠮⡵⢎⣽⠀⠀⠀⠀⢮⣿⣿⣿⣿⣿⣿⡿⡞⣥⢳⡉⢳⡜⣦⢿⡻⣌⠷⣢⠝⣠⠒⡌⢠⠃⡔⢁⠂⠴⢈⡑⢎⡳⢼⢯⡷⣯⣟⣮⢷⣻⣾⣟⡿⣽⣿⣻⣿⣿⣿⣷⣾⣤⣉⡤⠘⢠⠁⡌⠂⡄⢂ ⡷⢯⣛⣞⢮⡻⣜⡳⣝⢮⢷⡹⣎⢷⡹⢧⣏⢷⡹⣎⢷⣫⢞⣧⢻⡵⣫⢷⡹⣎⢷⡺⣝⠾⣱⢏⡳⣝⢶⣹⢳⡝⣧⣛⢧⠞⡵⢎⢧⡛⣜⢣⢾⡃⠀⠀⠀⠠⣼⣿⣿⣿⣿⣟⣷⡻⣬⢓⣌⠶⣹⣯⣗⣳⣭⠳⡆⣍⠲⠠⠄⠃⡜⠐⡌⡀⢂⠬⠑⡎⡵⢋⡞⣹⢳⣻⣾⣿⢿⣟⣾⣟⣷⣿⣿⣽⣷⡿⣯⣿⣿⣿⣿⣿⣦⣴⣀⠡⠐⠂ ⣟⢯⡽⣎⣯⢳⡭⣗⢯⡞⣧⢻⡜⣯⣝⡳⢮⣏⢷⡹⣎⢷⣫⢞⣧⢻⡵⣫⢷⡹⣎⠷⣭⢻⡥⣏⢷⡹⣎⢷⣫⢞⡵⣭⠺⡭⣝⢮⢣⡝⣬⠓⡾⡇⠀⠀⠀⠐⢼⣽⣿⣿⣿⣿⣷⣿⠶⣏⢬⣛⣷⣻⣞⡷⣊⠷⣉⠦⣁⠣⣘⠐⡈⠱⣀⠖⠡⠀⡝⡘⡔⠫⡔⢣⡞⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⣾⢿⣟⣷⡿⣯⣿⣿⢿⣿⣿⣿⣾⣤ ⣯⣛⢾⡱⣏⢷⡹⣎⢷⡹⣎⢷⣛⠶⣭⣛⠷⣎⢯⡳⡽⣎⢷⣫⢞⣧⢻⡵⣫⠷⣭⢻⡜⣧⢳⡝⣎⢷⡹⣎⢷⣋⠾⣜⢫⡵⣚⡬⢳⡜⢦⡛⡴⣧⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣯⡿⣜⡶⣹⣾⢯⣟⣳⡽⢎⡕⢢⠰⣁⠣⡜⢀⠡⡘⢠⠁⢆⠐⡤⢩⠓⣬⢓⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣻⣿⣿ ⡷⣭⡗⣯⠽⣎⢷⣫⢞⡵⣫⡞⣭⣛⠶⣭⢻⡼⣣⢟⡵⣫⢞⡵⣫⢞⣧⢻⡵⣻⡜⣧⢻⣜⡳⢞⡭⡞⣵⢫⡞⣭⢻⢬⡳⣜⡱⢺⡱⢎⢧⡙⡖⣿⠀⠐⠄⢀⠀⠀⠉⣿⣿⣿⣿⣿⣟⡷⣏⣷⣿⣿⢿⣻⡝⢮⡜⣡⠓⠬⣑⠜⣨⠂⡁⢃⡚⢤⡈⢠⢃⡝⢦⣛⡾⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣽⣿⣽⣿ ⣟⡵⣻⣜⡻⣜⢧⣛⢮⡳⢧⡻⣵⢫⡟⡼⢧⡻⣵⢫⡞⣵⢫⡞⣵⢫⡞⣧⣛⢶⡹⣎⢷⣪⠽⣹⢼⣙⢮⣳⢹⡜⣣⢳⣙⠦⣝⢣⡝⢎⢶⣭⡿⠛⠀⠀⠀⢹⠆⣄⣀⠿⣿⣿⣿⣿⣯⣿⡽⣾⣿⣯⡿⣧⣛⢧⡚⡥⢊⠶⣩⢎⡡⢚⠄⢃⠜⡢⣄⠣⡘⣬⢣⠿⣽⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣯⢞⡵⣎⡷⣹⢎⣯⢳⡽⣳⡝⣮⢳⡽⣹⢧⡻⣜⢧⡻⣜⢧⣻⡜⣧⣛⢶⡹⣎⢷⡹⢶⣩⢏⠷⡮⣝⡞⣬⡓⣞⣱⢫⡜⣹⢬⣳⡾⠟⠋⠁⠀⢀⠀⠀⠀⢸⡅⣦⢉⡉⢿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡿⣖⡻⢦⡛⣌⢏⡾⡵⢪⡕⢯⣌⢣⣌⡱⢎⡧⣙⣤⢏⡿⣵⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢷⣫⢞⡵⣫⢗⡯⣞⢧⡻⣵⢻⡜⣧⢻⡵⣫⢷⡹⣎⢷⡹⣎⢷⡹⢶⡹⣎⢷⡹⢎⡗⣯⣜⢫⢷⡹⡖⣽⠲⣝⡼⢲⣍⣾⠟⠋⡁⢀⠀⠀⠀⢰⣿⠀⠀⠀⠈⡇⠸⣧⣌⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⡿⣥⣋⢷⡙⣞⣮⡽⣽⢳⣚⠷⣜⡲⣬⡳⢯⣶⢻⣼⣻⣞⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⡼⣫⢞⡵⣫⢞⡽⣎⠷⣭⢳⡝⣮⢷⡹⢧⣏⢷⡹⣎⢷⡹⢮⡝⣧⢳⡝⡮⡝⣏⡞⢶⢎⡿⢬⡳⣝⠮⣝⣲⣽⠟⠋⠀⠠⠀⢀⡀⢀⡈⢷⣾⣿⠀⠀⢠⠀⢻⡄⢽⣷⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⡍⣎⢿⣼⣳⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⣱⣏⣞⡳⣝⢮⣳⢭⡟⣼⢫⡞⣵⢫⣝⡳⣎⢷⡹⣞⢧⣛⢧⢻⡜⣳⠞⡵⣋⢶⡹⣚⢮⡜⢧⣛⡼⣹⣶⠟⢡⣀⠈⢒⠠⣇⢢⣽⣦⣿⣿⣿⣿⠃⠀⠈⢣⠀⢳⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⡼⣣⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣻⢯⣟⡳⡽⣎⢷⣛⣾⣳⣿⣿⣿⣿⣿⣿⣿ ⣳⢯⡽⣹⢧⡻⣜⢯⡞⣵⢫⡞⣵⢫⡞⣽⢣⡟⡼⢧⡻⣜⡻⣜⢮⣓⢏⡖⢧⠻⣜⡣⢟⣬⢓⡮⢫⣵⡿⠋⠀⠈⢻⣤⣚⡤⢿⡞⣿⣻⣿⣿⣿⠏⠀⠀⠀⠈⡆⠸⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⡵⣿⣿⣿⣧⣻⣾⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⡿⣟⣿⣯⣿⣟⡿⣿⣻⣿⣽⣟⣷⣿⢾⣟⡾⣽⣳⢧⣻⣼⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⢯⡞⣵⢏⡾⣱⢯⡞⡽⣎⢷⡹⣎⢷⡹⣎⢷⡹⣝⢧⡟⣼⡱⢏⡶⢭⡺⣜⢫⣝⡲⢭⣓⢮⡹⣼⡟⠃⠀⠀⠀⣐⡠⠞⣿⡽⢎⡽⣶⢿⣾⢏⡆⠀⠀⠀⠀⠀⠑⠀⣧⠀⢺⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣝⡮⣝⡾⣿⣳⣿⣟⣿⣿⣽⣷⣿⣿⣿⣿⣷⣿⣿⣿⣯⣿⣾⣟⣷⣿⣻⣷⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⡼⣣⡟⣼⢣⡟⣼⢳⡝⣮⢳⡝⣮⢳⡝⣾⡱⣏⠾⣜⢧⡝⡞⣜⡣⢗⣎⠳⣎⣵⣫⣼⣶⠟⣉⣠⠀⠀⠀⢀⡿⣷⢍⣙⣧⣿⣾⣿⣫⣝⣾⣤⣄⣲⣤⣹⣦⠲⠤⣄⠀⠈⢿⣿⣿⣿⣿⣿⠃⢤⣿⣿⡿⢫⣙⢮⣳⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣷⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡷⢯ ⣞⡳⣝⢾⡱⣏⣞⢧⡻⣜⢧⡻⣜⢧⡟⣼⢣⡝⣮⣛⡼⢎⣞⡹⡲⣍⣷⡾⠟⢋⢉⣥⣶⣾⣿⣿⣿⣿⠿⡩⢞⣷⠟⠉⡐⢎⠛⡍⢯⡽⣻⣿⡻⢿⣿⣿⣿⣿⣷⣦⣜⣦⡀⠹⣿⣿⣿⣿⠏⢀⣿⡿⠉⢁⠣⣞⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣟⣿⣟⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠾⣝⢯ ⣯⣝⢾⣣⢟⡼⣎⡷⣹⢎⣯⢳⡝⣮⡝⣮⢳⡝⢶⡹⣜⣫⣖⣽⠿⢋⡡⢴⠶⣞⡾⣞⣷⣿⣾⣿⣿⣟⡶⣡⣿⠋⠀⠀⢁⠢⠕⡚⢡⢎⡱⠭⣽⠿⣟⢿⡻⣝⣮⣿⣿⣿⣷⡧⣿⣿⣿⡋⢥⣿⡏⣠⣄⣠⣔⣫⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣟⡿⣿⣾⣿⣿⡿⣟⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣽⣯⢿⡽⣞ ⡷⢮⣳⡝⣮⢳⡝⣾⡱⣏⡞⣧⣛⢶⣽⣮⡷⠿⢛⠛⡫⢍⠋⡅⣎⢱⡙⣎⠿⣜⣻⡽⣿⣾⣿⣿⣿⣿⣿⣿⠏⢀⢠⡐⣠⠉⠒⠬⡁⢎⡰⢿⣬⡻⣜⣯⢷⣻⣿⣿⣿⣿⣿⣷⣉⡟⢦⡑⣮⢯⣴⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣻⡾⣿⣟⣯⡿⣿⣿⣯⣟⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡷⣯⡿⣽⢯ ⣽⢳⢧⡻⣜⢧⡻⢶⣹⢮⣽⡶⠿⠛⠉⠀⠐⠤⠣⡘⠐⢊⠒⡌⢂⠧⣜⡎⣷⣹⡾⣽⣷⡿⣿⣿⣿⣿⠿⣡⠲⣌⢶⡹⢿⣆⣙⣲⠱⣮⢙⠶⣣⢿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠥⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⢷⣯⣟⣷⣿⣳⣯⢿⡽⣷⣿⣾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⡷⣟⣯⣿ ⣳⢯⡞⣵⣫⢞⣽⣳⠟⠋⠁⠀⠀⠀⠀⠐⠠⠂⢀⠈⠄⢡⠘⡰⣍⡞⣴⢯⡷⣯⣟⣿⡾⣟⡿⡹⣍⢆⡳⢣⡽⣘⣮⡟⣽⣿⣿⢣⠷⣌⣯⣛⣷⣻⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⣶⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣯⢷⡿⣜⢯⢾⣭⢿⡿⣿⡿⣿⣾⢿⣿⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣿⣻⣿⣾ ⣟⢮⣽⢺⣵⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⠢⡜⢢⡝⢲⣟⡾⣽⣯⣿⣿⣻⡽⣛⢥⢳⡱⢎⢎⣝⢣⡻⣵⣳⡿⣟⣿⣞⣯⢿⣝⡶⣛⡾⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣟⡾⣞⡯⣝⢿⣫⡗⣾⣯⣿⡽⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⣿⣷⣿ ⣻⢞⣼⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⠔⣠⠒⣭⠳⡜⣧⣿⣟⣷⣯⢷⣫⢇⡧⣙⢎⢣⠳⡞⡼⣌⢷⣻⢽⣯⢿⡽⣯⣟⡞⡿⣮⣽⢳⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠘⢦⡈⢿⣞⣿⣿⣿⣿⣷⡿⣿⣟⡾⣽⣟⡾⣽⢣⡟⣽⣺⢷⣻⢽⣳⣯⣿⢿⣻⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿ ⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢬⡸⣔⢫⢖⣻⣾⣿⠿⣝⡾⣡⠧⣍⠞⣰⠙⢎⡲⢥⣛⣼⣻⡼⢯⡟⣞⢯⣿⣱⢿⡜⣷⡝⣾⢻⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢳⣄⡆⣹⣜⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣳⢏⡷⣭⢗⣯⣛⣷⢻⣾⢯⣿⣻⣽⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢆⡞⠶⣱⣮⣾⣿⣿⢿⡽⣛⡮⢱⡡⣚⡜⡸⢣⢛⣤⡝⣫⣼⠶⡽⢾⡹⡞⡭⢞⠶⢭⢞⡹⣞⡽⣮⢿⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⣻⣽⢻⡼⣾⢿⣿⣿⢿⣻⣿⣿⣾⣳⢯⡻⣼⢛⡾⢧⣻⣼⣻⣾⢿⣽⣿⣻⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⡌⣞⣬⣿⣿⣿⣿⣿⣯⣿⡟⢧⠘⡅⣶⢩⠞⣱⢛⣼⢲⡝⣣⢟⡽⢞⡹⢻⡱⣛⢮⣙⣧⢫⡷⣭⢷⣯⣟⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣰⣿⣿⣻⣿⣯⣿⣿⣿⣿⣿⣟⣮⢷⡏⣯⢳⣭⢻⡼⣟⣧⣿⣹⣽⣻⣯⣿⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠄⠈⠀⠀⠀⡜⣰⣿⣿⣿⣻⣽⣯⢿⣿⣯⠳⡜⢠⢛⡘⢤⡃⣞⡥⢏⡞⡶⣙⢮⣟⡼⡳⣍⣳⣫⡝⣮⣝⣮⣻⡽⢯⣿⣾⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡷⢧⣿⣿⣿⣿⢯⣟⡾⣽⢻⡯⣟⣳⡛⢾⣳⣽⡽⣞⡿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⡘⡼⣼⣿⣻⣷⢿⣽⣿⣽⣿⣿⣦⠃⡄⠙⠦⠸⠀⡗⡌⢲⡛⣜⠶⣙⡞⣼⣱⢯⣝⣣⢿⣝⣯⣟⣾⣳⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣼⣿⣋⢿⡟⣞⣻⣞⡷⣹⢏⡷⣫⢷⣹⣛⣷⣻⣽⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢠⡉⣥⢻⣽⣷⢿⣷⣯⣿⣿⣿⣿⣿⣿⠂⠄⠡⠒⠐⠈⠳⢐⡚⡡⢜⡭⢻⡴⣛⢶⣭⡞⣧⣟⣯⢿⣭⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⢿⠙⣇⣿⢫⡝⣭⣓⣮⠷⣳⢾⣱⢟⣯⣟⣯⣷⣻⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣷⣟⡷⣯⣿⣿ ⠀⠀⣀⣄⣠⠌⢦⡱⣯⣿⣻⣾⡿⣯⣿⣿⣿⣿⣿⣿⡏⠙⠀⠀⠀⡰⣃⡤⢋⣜⣍⣫⣜⣣⣷⣻⣟⣶⡿⣟⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡉⠁⡫⢜⠣⢯⣜⣦⠳⣬⠷⣽⣚⣷⣞⣳⣾⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣹⣿⣽⣯⣿
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⢄⡰⠤⠚⡠⡄⣖⡄⠈⠉⠐⠢⢄⠀⠀⠀⠀⠀ ⠀⠀⠉⠦⡸⣅⠼⠓⣉⠭⠭⠅⢒⡠⢄⡈⠢⡀⠀⠀ ⠀⠀⠀⠇⠉⠃⡔⠃⠀⠀⠀⠀⠀⠀⠉⠚⠴⣌⣂⠀ ⠀⠀⠀⠈⢆⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃ ⠀⠀⠀⠀⠈⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢁⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠇⢰⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡝⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢄⢤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⣾⢷⡂⣠⢇⢢⠀ ⢰⡵⢴⢿⡛⠻⠉⠀⢂⡇ ⠰⣣⠀⢠⢗⠀⡗⢆⣬⠃ ⠀⠑⠳⢸⠈⢣⠁⠀⠃⠀ ⠀⠀⠀⠀⠀⠈⠇⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡰⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢟⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡽⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟
⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣶⣦⡤⠤⠤⠤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠ ⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⡟⢶⡤⡄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⡻ ⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣷⡀⢿⡀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠊⠀⢠⠃ ⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣷⡌⢷⡀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠉⠀⠀⠀⢠⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣆⠳⣀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠁⠀⠀⢀⠀⠀⠀⡰⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣷⡽⣷⡄⠘⡄⠀⠀⠀⠀⢀⠠⠂⠁⠀⠀⠀⢀⠴⠊⠀⠀⣠⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣾⢿⡦⠘⡄⢀⠤⠊⠁⠀⠀⠀⢀⣤⠞⠁⠀⠀⡠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⡃⣰⡿⠁⠀⠀⠀⠀⣠⡶⠋⠀⠀⢀⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⡿⠋⠹⣷⠀⠀⢀⣤⡾⠋⠀⠀⢀⡤⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠏⠀⠀⠀⠹⣆⣴⡿⠋⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⢀⣴⡿⢋⡠⢤⠤⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⣰⣿⠛⠉⠉⢉⡽⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣆⠀⠀⣠⣾⡟⠁⠀⠀⣰⣯⠷⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠈⠻⣇⣴⡿⠋⠀⠀⡠⢾⣿⣿⣶⡃⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⢠⢪⡾⠁⠀⢀⠜⠁⠀⠹⣿⣿⣷⡶⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⡰⣻⠟⠀⠀⢠⠎⠀⠀⠀⠀⠘⢿⣿⣿⣧⠌⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡅⠀⢀⠜⣾⠋⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣤⣄⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡟⢀⢎⡼⠃⢠⡖⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣥⣧⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠎⣾⣁⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⡏⢣⣀⡴⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣏⡼⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣟⣻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠙⣿⣿⣏⣹⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡟⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠘⣿⣿⣏⣼⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⠀⠀⠀⠈⢿⣿⣧⡾⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣤⣀⡀⠀⣻⣿⣿⣟⣧⡀⠀⠀ ⠀⠀⠀⠀⢀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠟⠛⠛⣿⣿⠟⠃⠀⠀ ⠀⠀⠀⠀⠾⢿⡿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠳⡀⢀⠔⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⢢⣯⠟⠋⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣫⡾⣳⠧⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢞⣥⣾⣿⡿⠊⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⣳⢴⣿⣵⣿⣫⠟⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⡒⠕⢁⡠⣾⣕⣷⣻⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠞⡳⣤⢐⠹⣮⣿⡟⠟⠉⢂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣅⣶⠞⡉⢻⢤⠀⣠⡾⣕⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⡞⣵⡏⠻⠘⠢⣑⣥⠼⠛⢯⣑⢌⠓⢕⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠔⠁⣠⡾⠃⠈⠀⢹⡒⢺⡁⠀⠀⠀⠙⢗⢷⣾⠋⠀⠀⠀⠀⠀⠀⠀ ⣠⠞⠋⣀⣴⡿⢙⡕⠀⠀⠀⢸⡇⠸⡅⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢦⣾⠟⢠⡱⠁⠀⠀⠀⠀⠸⠇⠴⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠑⣤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⠠⠤⠼⣏⠑⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣞⣴⣿⣿⣷⣮⠻⡶⢵⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⢾⣿⣿⣿⣿⣿⡇⡇⠀⠉⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢎⡿⣿⣿⣿⠟⠐⠻⢦⣄⡀⠀⠈⠓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣷⣶⣷⣿⣿⣶⣤⡈⠙⠷⣦⣀⠀⠈⠑⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠷⢮⣝⣻⣿⣿⣷⣦⣄⡙⠻⢶⣤⡀⠈⠛⢷⡦⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣋⣿⣿⣿⣷⣦⣌⡙⣳⣦⣼⣧⠈⣷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⣿⣿⣿⣿⣿⣿⣿⣇⣠⣯⢹⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣶⣽⣿⡻⣿⡿⠻⣦⢽⠎⢆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣷⣿⣷⣶⡟⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⡉⣧⣼⣿⣁⣸⡗⢀⡞⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡏⠻⢿⣤⣤⡥⠔⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣗⣀⠀⠀⢉⡀⢶⠻⣄⠤⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣻⣿⡿⢿⣿⣶⣼⢀⡌⡴⠁⠀⠉⢷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠊⠉⣿⣿⣿⣿⠟⠉⠉⣩⠷⣿⠀⠻⢲⣀⠎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢀⣰⣯⣿⣿⣿⣀⣀⣘⣽⣀⣿⣦⣴⠞⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠻⠿⠿⠿⠿⠟⠛⠛⢻⣿⠛⠻⠿⠯⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⢀⣀⡀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⢸⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠗⠛⠛⠛⠛⠛⠛⠛⣿⡟⠒⠒⠒⠒⠒⢺⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⢻⡃⠀⠀⠀⠀⣀⣿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡆⠒⠒⠒⠚⠛⠛⠛⠛⠛⠻⡏⠫⣌⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢤⣀⡠⠖⠿⠿⠿⠿⠟⠛⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣴⣾⣿⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠻⡏⠁⠴⠟⠟⠻⣦⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡆⠙⢄⠀⠀⠀⢠⠿⢾⣿⠳⢤⡀⠀⠀ ⠀⠀⠀⠀⣶⣿⣿⡀⠀⠳⣆⠀⣠⢾⣻⣿⣿⣷⣿⣄⠀ ⠀⣠⡴⠊⢉⣼⣇⡿⡆⠀⠘⣿⣷⢟⣽⣶⣾⣿⣿⢿⡄ ⡾⠋⠀⠀⣿⣿⣿⣧⣽⡆⠀⣿⣿⢼⣿⣿⣿⣿⣿⢘⡇ ⡇⠀⠀⠀⢹⣿⣿⣿⠿⣷⡀⠻⣽⣮⣙⣛⣻⠿⠋⣻⡇ ⢷⡄⠀⠀⠈⣿⡯⠔⠒⠈⣿⡄⢹⣇⡀⢡⣄⡀⢸⡏⠀ ⠀⢿⡀⠀⢀⡿⢶⣄⣠⣴⣿⢷⣄⣿⢽⣿⣿⣿⣿⡇⠀ ⠀⠈⠣⣴⡏⠀⠀⠈⠁⠀⠘⢾⣿⣿⣮⠭⣽⣿⣿⠇⠀ ⠀⠀⠀⣿⠉⢀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡏⠀⠀ ⠀⠀⠀⠘⡇⠀⠉⠑⠒⠒⠒⠚⣻⣻⣿⣿⣿⣿⡗⠀⠀ ⠀⠀⠀⠀⠹⡤⢀⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡟⠁⠀⠀ ⠀⠀⠀⠀⠀⠱⡄⠈⠉⠉⠉⠉⠉⢩⣷⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠦⣀⣀⣀⣀⣀⣼⠟⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⡄⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣇⠀⠀⢻⡿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⠿⣿⣶⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠏⠈⠀⣿⢫⣩⣤⣙⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡟⠀⢀⣀⣿⣭⣿⡳⡟⠁⠀⠀⠀⢀⣤⣴⡷⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡏⠀⠀⠈⠁⣠⡿⠶⠿⠃⠀⠀⣠⠞⠋⠀⠀⠀⠉⠀⠉⠉⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠁⠀⠀⠀⢰⡏⠀⠀⠀⠀⢀⡾⡁⠀⠀⠀⠰⠶⢦⣀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠸⣇⠀⠀⠀⣠⠏⠀⠀⣄⡀⡼⠛⠓⢦⡈⠓⠀⠀⠀⠀⠘⢦⣀⡀⠀⠀⢀⣀⣀⣀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠉⠳⣄⣠⠏⠀⠀⠀⠛⢻⡇⠀⠀⠀⠳⣄⣤⣀⡀⠀⣀⣠⣬⡟⣠⡶⠛⠉⠉⠙⢷⡄⠀ ⠀⠸⣇⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠒⠦⠀⠀⠻⣄⡀⢀⣰⠋⠁⠘⣷⠋⠉⠀⣾⣷⠏⠀⠀⠀⣀⠀⠀⢷⠀ ⠀⠈⠷⡿⡄⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⡿⢤⠞⢳⡉⠉⠀⠀⠀⠀⠸⠦⠤⠾⣽⠁⡄⠀⡶⣶⡿⢀⡀⣿⡀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡴⢶⡀⢀⣀⣄⡀⣼⠀⠁⠈⡷⣿⣵⡄⠙⢹⠁ ⠀⠀⠀⠀⢹⣄⣤⡀⠀⣤⢠⣄⢀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣱⣟⢽⣋⣀⣤⣄⣳⡿⣿⣰⣶⡟⠀ ⠀⠀⠀⠀⠀⠉⠘⡇⠀⠉⠀⠻⠞⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣃⣼⣴⠟⠉⠁⠈⠉⠀⢷⣿⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⣠⠖⢢⣤⡾⢳⡄⣼⡿⢷⡮⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠙⠋⠠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣹⠂⠀⠀⠀⢶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢹⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⠂⠀⠀⠀⠀⣿⣧⡄⣰⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡄⠀⠀⢡⣧⣾⠟⠀⠀⠀⠀⠀⣴⡦⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡟⠀⣤⣼⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠤⠤⠖⠋⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡆⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠏⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⣀⡿⠲⢦⡀⠀⠀⠀⠀⠀⠈⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠀⠀⠀⠀⠀⠀⠀⢻⠋⠀⠀⠀⣠⡾⠁⠀⠀⢻⠀⠀⠀⠀⠀⠀⢀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⡀⠀⠀⠀⡤⢤⣀⣀⣀⣀⣠⡾⠋⠀⠀⠀⠀⢸⡄⠀⠀⠀⢀⠀⢘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠛⠒⠛⠾⠃⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠸⠾⠁⠈⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⠶⣾⣄⠀⠀⠀⠀⠀⢰⣷⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣿⣿⣿⣿⣿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⢤⣄⣀⣀⣀⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠂ ⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠳⣤⣀⢀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣽⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠙⢷⡜⠀⠆⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠁⢀⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣟⣿⣿⣿⡄⠸⣧⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠉⠀⠀⠀⡼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣷⡄⢸⣧⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠋⠉⠀⠀⠀⠀⢀⡼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣦⡈⣧⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣷⡀⢷⣳⡄⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠋⠁⠀⠀⠀⠀⣠⠴⠊⠁⠀⠀⡴⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣞⠻⣾⣄⠀⢳⡀⠀⠀⠀⠀⣀⡴⠚⠉⠀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣷⡾⢾⡧⠄⢳⡀⢀⡴⠚⠉⠀⠀⠀⠀⠀⢀⣤⠞⠋⠀⠀⠀⢀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣮⠃⢐⣦⡟⠉⠀⠀⠀⠀⠀⠀⣠⡴⠟⠁⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡶⠛⣿⡇⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⢀⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⡿⠏⠀⠀⠹⣿⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⠁⠀⠀⠀⠀⠹⣦⣴⡿⠋⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠋⠀⠀⠀⠀⠀⢀⣴⡿⠋⢀⣠⣤⠤⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⢀⣴⣿⠿⠖⠛⠓⠒⣻⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⠀⠀⠀⠀⠀⣰⣿⡿⠁⠀⠀⠀⣠⠾⡇⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢿⣟⣄⠀⠀⢠⣾⣷⠏⠒⠀⠀⢀⣼⣷⡒⠻⡀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠙⢿⣇⡴⣻⡟⠁⠀⠀⢀⠴⢿⣿⣿⣿⣧⡟⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⢠⢟⣴⠏⠀⠀⠀⣠⠋⠀⠈⠻⣿⣿⣿⣷⣤⡄⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⣴⢫⣾⠋⠀⠀⠀⡴⠃⠀⠀⠀⠀⠘⢿⣿⣿⣿⣶⠄⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⢀⡜⣡⡿⠁⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡟⠂⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡄⠀⠀⢠⡞⣸⠟⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣖⣦⡘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣯⠁⣠⢏⣼⠏⠀⢴⠖⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣯⡘⣦⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣰⢋⣾⠇⠀⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⠘⢦⡀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⣼⠷⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣧⣬⣷⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣇⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣽⣏⣨⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢟⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠙⣿⣿⣟⢉⣸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢋⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣹⠃⠀⠀⠹⣿⣿⣿⠟⢉⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣇⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠹⣿⣿⣶⡿⠋⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠘⢿⣿⣶⣿⠛⣳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣶⢤⣀⠀⠀⠈⢻⣿⣿⣿⣟⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⣭⣭⡽⠿⠟⢿⣿⣿⣿⠿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣶⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠛⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣠⣤⣤⣤⣤⣀⠲⢦⣄⡀⠀⠀ ⡶⢟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠰⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⡛⢷⣔ ⣾⡿⠟⠋⠉⠁⠀⡀⠀⠀⠀⠀⠈⠉⠉⠙⠛⢻⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⢛⣛⣛⣛⣛⣉⢉⣉⡀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣷⣝ ⠃⠀⠀⠀⠀⠀⠀⣛⣛⣛⣛⣛⣛⢛⡛⠛⠛⠛⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣌⠛⠛⢛⣛⣛⣛⣛⣛⣛⣛⣓⣀⠀⠀⠀⠀⠀⠈⢻ ⠀⠀⠀⢀⣤⡾⠛⢻⣿⣿⣿⡿⣿⡟⢻⣿⠳⠆⠘⣿⣦⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠐⠛⣿⡟⢻⣿⣿⣿⣿⢿⣟⠛⠻⣦⣀⠀⠀⠀⠀ ⠀⠀⢴⠿⣧⣄⣀⣘⣿⣿⣿⣿⣿⡿⣀⡙⢷⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⡖⠀⣾⣋⣀⣺⣿⣿⣿⣿⣿⣏⣀⣤⣴⠿⢷⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠉⠉⠉⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠆⠀⠀⢀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠁⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⣤⣴⣶⣾⠿⠛⠋⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢶⠞⠗⠛⠉⠓⢿⣦⡀ ⠀⠰⡀⢄⣀⣼⣰⣀⣠⡤⡆⠀⠀⠀⠀⣨⡟⠉⠀⠀⠀⠀⠀⠈⢧⡇ ⠀⠀⢹⣮⣻⡟⠻⣟⣥⣾⣤⣴⡖⣦⢼⡵⠃⠀⠀⠀⠀⠀⠀⣰⢺⠆ ⠰⢦⣿⣿⣿⣿⣳⣾⣿⣟⡓⠮⠉⠁⠀⠀⠀⠀⢀⣀⣠⡴⢶⡟⠋⠀ ⠀⠀⢸⢟⣿⣿⣿⣿⠿⣏⠀⠀⠀⠠⡤⣀⡠⡴⠯⠟⠉⠉⠉⠀⠀⠀ ⠀⠠⠵⠛⠙⢛⡿⠋⠑⠨⠆⠀⠀⢀⣝⠷⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⢀⣴⣫⡶⠋⠙⠒⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⢴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⢔⣵⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣖⣵⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⠙⢧⡀⠀⠀⠀⠀⠙⢿⣆⠀⠀⠀⠈⢧⡙⣿⣆⠀⠀⠀⠹⣞⣆⠀⠈⢧⠀⣹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⢸⠀⠈⢳⡄⠀⠀⠀⠀⢀⡛⠳⣄⠀⣀⡤⠿⣾⣿⣷⣖⣀⣠⣹⣿⣧⣀⣘⣆⠙⢳⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⠀⠀⠙⢦⠀⠀⠀⠀⠙⣦⡬⠿⡷⠶⠒⠂⠉⣩⠉⠁⠈⢻⡉⠋⠹⣿⠙⢦⢩⣿⠛⠛⠛⠻⠿⢿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣆⠀⠀⣇⠀⠀⠀⢀⠇⢸⡇⢀⣠⣤⡤⠖⠒⠂⠈⠳⣤⡤⠖⠛⠉⠁⠀⠀⣀⣤⣶⣾⡿⠿⢿⣷⢻⡇⠀⠀⢩⣇⠘⣮⢻⣿⠶⣶⣤⣀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢼⡄⠀⢻⠀⠀⠀⠼⢠⣾⣿⣉⡴⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣷⡀⢸⠏⣽⣿⡁⠀⠈⣹⡄⣸⣾⡟⢦⡀⠉⢻⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⢷⠀⢸⣀⣀⣀⣤⠾⠋⠛⣁⣤⣤⣾⣶⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣉⠿⣂⣹⡧⠏⠀⣿⣟⣧⠀⠀⠹⣿⡾⣿⡇⠀⠙⢦⣾⣟⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣧⠞⠋⠀⠀⢳⣤⣼⡿⢿⣿⣿⣿⣿⣷⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⣿⣇⣸⣆⠀⠀⢻⣧⠈⠙⣆⠀⠈⠿⡿⢿⣿⠿⣿⣿⣿⣿⣿⡿⠶⣦ ⠀⠀⠀⠀⠀⢻⣧⠀⠀⠰⠾⢿⣿⠀⢸⣿⠟⠻⢫⣹⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣭⡿⢻⡀⠀⠀⢻⣆⠀⠘⢧⡀⠀⢱⡀⠈⠳⣦⣤⣤⣤⣤⣄⣀⠀ ⠀⡀⡀⠀⠀⢸⣿⣧⡀⠀⠀⠈⢻⡙⠺⠿⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡁⠀⢳⠀⠀⠀⠹⣗⠢⣤⣥⣦⣤⡷⠀⠀⠹⡍⠣⢤⡀⠉⠛⢷ ⠀⠀⣷⠀⠀⠸⣿⣿⣧⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠉⠳⣄⠈⢧⠀⠀⠀⠘⣦⡘⣆⠀⠉⢻⣄⡀⠀⢳⠀⠀⠹⣄⠀⠀ ⢧⠘⣿⠀⠀⠀⣿⣇⠈⣷⡀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠙⢷⣼⣧⠀⠀⠀⠘⣿⢿⣦⠄⢀⣬⣙⣷⠈⣧⠀⠀⠹⡄⠀ ⠘⡆⣿⠀⠀⠀⣇⢸⣦⣈⢹⣄⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⡐⠀⠀⠀⠈⠙⢧⠀⠀⠀⠈⢧⠙⢶⣾⠿⣧⠀⠀⠙⢷⡀⠀⠀⠀ ⠀⢻⣿⠀⠀⠀⣷⡾⢹⠙⣟⠻⣆⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠈⠳⣿⣼⡆⠀⠀⠀⠈⢷⡀⠀⠀⠈⢳⡀⠙⠳⣌⡳⢤⣀⡀⠳⣄⠀⠀ ⠀⢸⡇⠀⠀⢀⣿⡇⢸⠀⢹⡄⠘⢧⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠇⡀⠀⠀⠙⢿⣯⠀⠀⠀⠀⢈⣻⣧⡀⠀⠀⠱⣄⣀⣠⣝⣲⣄⡉⠹⣏⠁⠀ ⠀⢸⡇⠀⠀⢸⣿⠁⣾⠀⠀⣇⠀⠈⢧⡀⠀⠀⠻⣿⡶⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠃⠻⣄⠙⣦⡀⠀⠀⠉⠳⣄⣤⡀⠈⠻⣿⣷⡄⠀⠀⠙⣆⠈⠙⠻⣟⠿⢷⣌⣳⣤ ⠀⢸⠀⠀⠀⢸⠇⢠⡇⠀⠀⣿⡀⠀⠈⢷⡀⠀⠀⢻⣿⡄⠀⠀⠉⠉⠛⠒⠒⠲⠶⢶⡿⠃⠀⠀⠹⣦⡈⠻⣶⣄⡀⠀⠈⠙⢿⣷⠶⠛⠛⢿⣦⡀⠀⠈⠳⡀⠀⠈⠳⡀⠀⠉⠉ ⠀⡜⠀⠀⠀⡿⠀⣼⠀⠀⠀⣿⡇⠀⠀⠈⣷⡀⠀⠀⢻⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠘⢿⠲⠾⠿⠿⣶⡶⠖⠋⠁⠀⠀⠀⠀⠻⡷⣄⠀⠀⠙⢦⡀⠀⠙⢦⠀⠀ ⢠⠀⠀⠀⠀⠁⣸⡏⠀⠀⠀⡿⣧⠀⠀⠀⢹⣷⠀⠀⠈⣇⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣎⢳⣄⣀⣀⣙⣦⣀⠈⢳⡄ ⡌⠀⠀⠀⠀⣰⣿⠁⠀⠀⢰⡇⣿⠀⠀⠀⠀⣿⣷⠀⠀⢹⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠔⠒⠉⠉⠁⠀⠀⠀⠀⠉⠉⠉⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡾⠿⠷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⡶⠶⠾⠿⠷⠶⠶⠶⠶⣤⣤⣄⣀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠿⣷⣦⣀⠀⢀⣠⣤⣶⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⡋⠉⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⣾⡟⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣴⣿⠁⠀⠀⠀⠀⠀ ⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⠀⠀ ⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⢶⣶⣄⠀ ⣾⡟⠀⠀⠀⠀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠈⢻⣷ ⣿⡇⠀⠀⢀⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢀⣼⡿ ⣿⡇⠀⢀⡼⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣴⡾⠟⠀ ⣿⡇⢰⡏⠀⠙⠿⢿⡿⠟⠋⠀⠀⠀⠾⣶⣤⣤⣤⣤⣤⣴⣶⠆⠀⠀⠀⠈⠻⠿⣿⠿⠟⠁⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠀⠀⠀ ⢿⣇⠈⠳⢤⣤⡤⠛⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣤⣤⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀ ⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣇⠀⠀⠀⠀ ⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⢻⣷⡀⠀⠀ ⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⣿⡇⠀⠀ ⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣥⣤⣶⡾⠟⠁⠀⠀ ⠀⠀⠀⠀⠈⠛⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⡟⠛⠶⠶⠶⣤⣤⣤⣤⣤⣤⣤⣴⠶⠶⠾⠛⢿⡏⢙⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⢲⣄⡀⠀⠀⠀⠀⠀⣀⣴⠄⠀⠀⠀⠘⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⣤⣀⠀⠀⠘⣿⡄⠀⠀⠀⣼⡟⠁⠀⠀⣀⡄⠀⢹⣿⢿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠋⠙⠛⠶⠶⠟⠁⠀⠀⠀⠙⠷⠶⠞⠛⠉⠀⠀⠀⣿⣿⣯⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣾⠟⢷⣴⠶⣦⡀⠀⠀⠀⠀⠀⣠⡶⣦⣶⠛⣷⡀⠀⢸⣿⣯⣿⣷⣴⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣵⣿⠛⠿⠀⠈⠉⠀⢻⡇⠀⠀⠀⠀⢠⣿⠀⠈⠁⠀⠿⠛⣷⣾⣿⠀⠉⠙⠻⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣿⡄⠀⡀⠀⢐⡆⢸⡗⠀⠀⠀⠀⢸⣿⠀⡖⠀⢤⠀⢀⣿⣽⠏⠀⠀⠀⢀⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⡘⠒⠚⢀⣿⠃⠀⠀⠀⠀⠀⢿⣄⠙⠐⠊⣠⣾⣿⣥⣴⣶⠶⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣻⠿⠿⠟⠿⠿⠶⠶⣶⣶⣶⠶⢿⠿⠶⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠈⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠙⠻⣄⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⢀⠀⢀⣀⣤⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣉⣩⣤⠴⠶⠶⠒⠛⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠤⠶⠒⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡍⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣫⣭⣷⠶⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠶⠖⠚⠛⠛⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠴⠛⠛⠉⡁⠀⠀⠙⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡷⠷⢿⣦⣤⣈⡙⢿⣿⢆⣴⣤⡄⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⡀⣸⡄⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣟⣩⣤⣴⣤⣌⣿⣿⣿⣦⣹⣿⢁⣿⣿⣄⣀⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⠋⠻⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠿⠛⢦⣽⣿⣿⢻⣿⣿⣿⣿⠋⠁⠘⣿⣿⣿⣿⣿⣿⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠁⠀⠀⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠿⣿⣯⣼⣿⡿⠟⠃⠀⠀⠀⣿⣿⣿⣿⣿⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣧⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⠟⠃⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⢁⣀⣀⣀⣀⣀⣠⣀⣀⢀⢀⢀ ⠀⠀⢿⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠙⠛⠛⠙⢻⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠘⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⢿⣿⣆⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡼⠁⢀⣀⡀⠀⠀⠀⣦⣄⠀⣠⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣬⢻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣰⣿⡿⠿⠦⢤⣴⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠒⣿⣿⣿⡿⠟⠹⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡖⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣾⣿⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣆⣀⣀⣤⣴⣶⣶⣾⣿⣷⣦⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣿⣿⡛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⡟⠛⠛⠻⠛⠛⠛⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠓⢁⣬⣿⠇⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⢰⡿⣻⠇⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢐⣯⠞⠁⠀⠀⠀⠀⠀⠀⣄⠱⣄⠀⠀⠀⠀⠸⡧⠟⠆⠀⠀⠀⠀⠘⠿⢿⠿⠿⣿⡿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡈⠂⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⡄⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣦⣦⣼⡏⠳⣜⢿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢠⣷⣦⣤⣀⣀⣀⣴⣿⣿⣿⣿⣿⡿⠻⠆⠸⣎⣧⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⡄⠀⣿⢹⡇⢸⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿
⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀ ⢸⣻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣷⣿ ⠀⠀⠹⣿⣷⣄⠀⠀⠀⠀⣿⣷⠖⠐⢦⣿⠇⠀⠀⠀⢀⣴⣿⡟⠁⠀ ⠀⠀⠀⠈⠻⣿⣷⣄⢀⣴⡿⠛⠁⠀⠙⠻⣷⣄⢀⣴⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⣿⡟⢏⠀⠀⠀⠀⠀⠀⢀⠿⣿⣿⠛⠀⠀⠀⠀⠀ ⠀⠀⣤⣀⣠⣶⠟⠫⡉⢦⠀⡀⠀⠀⠀⡠⢠⠞⡩⠛⢷⣠⣀⣠⡀⠀ ⠀⠀⢹⠿⠏⠁⠀⠀⠈⢄⠲⣌⠢⡠⢊⡴⢋⠌⠀⠀⠀⠉⠿⢿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢌⢟⠰⢋⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⣡⠊⣐⠃⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠜⡡⠂⠈⠠⡙⢤⡢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠈⠀⡠⠊⠀⠀⠀⠀⠈⠢⡁⢌⢂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡔⠁⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠑⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠊⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠪⡊⢂⠀⠀⠀ ⠀⠀⢰⠡⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢵⠀⠀
⠀⠀⠀⠀⠀⠀⣀⠀⢀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣆ ⠀⠀⠀⠀⠀⠀⠀⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⣿⣿⠏⢻⠟⠉⡿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⣿⣿⣿⡿⠛⠛⢄⡈⢢⣀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⢤⡼⣿⣶⣶⣾⣿⣿⣷⣶⡀⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢴⣿⠭⠒⠚⠋⠉⠀⠀⠀⠀⠀⠀⠈⠉⠛⠒⠪⢽⣗⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⡯⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠮⣕⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⢾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢼⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⣧⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡜⣻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡼⣄⠀⠀⠀⠀⠀ ⠀⢀⡾⡽⠃⠀⠀⠀⠀⠀⠀⢀⣀⣤⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⢳⡹⡆⠀⠀⠀⠀ ⠀⣸⣱⠃⠀⠀⠀⠀⣴⣶⣾⣿⣿⠶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⣿⣿⣿⣷⣦⡀⠀⠀⠀⠈⢷⣱⡀⠀⠀⠀ ⢠⣧⡟⠀⠀⠀⠀⠀⠘⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢉⣿⣯⣵⣷⡀⠀⠀⠘⡿⡇⠀⠀⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⢻⣍⣿⣄⡀⠀⣳⣿⡀⠀⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣄⡀⠀⠀⠀⠀⠀⢀⣤⣤⣠⣤⣀⠀⠀⠀⠀⠀⠀⣀⣤⠀⢸⣮⠳⡀⠀⠀⠀⢙⣿⣿⣯⠙⠳⣄ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣟⠛⠿⠿⠿⠛⣿⠟⠁⠀⠹⣯⡛⠛⠿⠿⠟⢛⣿⠟⠀⣨⣿⠀⠙⣆⠀⠀⢸⣻⣿⣿⣶⣤⡙ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢶⣶⡾⠟⠁⠀⠀⠀⠀⠈⠙⠷⣶⣶⠾⠋⠁⢠⣾⣿⡙⣧⠀⠈⢳⣠⣾⣿⡿⢛⣿⣿⡿ ⠈⣏⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢉⣿⣿⣿⡟⣧⡀⠀⣿⣿⢑⣿⣿⣿⣷⠁ ⠀⠸⡎⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⢸⣿⣿⣿⣿⣮⡇⠀⢿⣿⠘⣿⣿⣿⡿⢀ ⠀⠀⠻⡞⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⠙⣧⠀⠀⠀⢻⣿⣿⠿⠛⠻⣆⠘⢧⠀⠈⠉⠭⠒⠈ ⠀⠀⠀⢹⣏⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠀⠘⣧⠀⠀⠸⣿⠃⠀⠀⠀⣙⣆⠀⠀⠀⣠⣤⠄⠀ ⠀⠀⠀⠀⠙⢦⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢀⣴⠟⠶⣤⣶⠿⣿⢻⣆⢿⣼⣿⣿⠆⠀ ⠀⠀⠀⠀⠀⠈⠱⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠚⣯⠀⠀⠀⠀⠀⠈⣿⣿⣮⡓⠍⢁⣠⣾ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣭⣢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⣀⠀⠂⠀⠀⠀⢹⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠾⣕⡲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⢴⣺⡇⠀⠉⠉⠉⠛⠋⠉⢻⣿⣿⣿⣿⣿⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠬⣿⣖⣒⠤⠤⠤⠤⠤⠤⠤⠤⣐⣒⣾⠯⠗⠛⢻⠥⠀⠀⠀⠐⠀⠀⠀⣼⣿⣿⣿⡿⢛⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠈⣦⣤⠀⠈⠛⠛⠛⠛⠛⢻⣯⣿⡷⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⡻⣆⣀⣀⣤⣀⣀⣸⣿⣟⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣶⣿⣿⣴⣤⣴⣤⣶⣴⣦⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⣤⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠒⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠋⠉⠁⠁⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠛⠛⠙⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⠏⠻⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠟⠂⠀⠀⢺⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠟⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡿⠗⠀⠠⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠈⠑⢶⣶⡄ ⢀⣶⣦⣸⠀⢼⣟⡇⠀⠀⢀⣀⠀⠘⡿⠃ ⠀⢿⣿⣿⣄⠒⠀⠠⢶⡂⢫⣿⢇⢀⠃⠀ ⠀⠈⠻⣿⣿⣿⣶⣤⣀⣀⣀⣂⡠⠊⠀⠀ ⠀⠀⠀⠃⠀⠀⠉⠙⠛⠿⣿⣿⣧⠀⠀⠀ ⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀ ⠀⠀⠀⣷⣄⡀⠀⠀⠀⢀⣴⡟⠿⠃⠀⠀ ⠀⠀⠀⢻⣿⣿⠉⠉⢹⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀
░░░░░░███████ ]▄▄▄▄▄▄▄▄ ▂▄▅█████████▅▄▃▂ [███████████████████]. ◥⊙▲⊙▲⊙▲⊙▲⊙▲⊙▲⊙◤..
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⣀⣄⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⣾⣏⣉⣿⠟⢿⣯⣉⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⣿⡟⠙⠛⠉⠁⠀⠀⠈⠉⠛⣿⣶⣄ ⠀⠀⣤⣀⡀⠀⠀⠀⣸⠃⣇⠀⠀⠀⢀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣁⣿ ⠀⠀⠹⣦⠉⢷⣶⣾⣿⣷⣾⣷⣶⡾⠟⣡⠃⠀⠀⠀⠀⠀⠀⢀⣴⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠟ ⠀⠀⠀⢹⣷⣦⣿⣿⡟⠛⢿⣿⡻⣤⣾⣷⣶⣄⣴⣶⠶⣶⣦⣾⣷⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢿⡇ ⠀⣀⣀⣿⣿⣿⣿⣿⣿⣦⣀⣙⣿⣿⣿⣷⣿⣋⠙⠻⠖⠛⠋⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠐⣿⣶⡿⠁ ⠛⠷⠶⣾⣿⣿⣿⣿⣿⣯⣹⣿⣿⣿⣿⣯⠭⠝⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⣴⣿⡛⣻⣿⠏⠉⠀⠀ ⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⠇⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⡀⢰⣿⣍⣽⡿⠈⠙⠛⠉⠁⠀⠀⠀⠀ ⠀⠀⢀⠞⢋⣴⣿⣿⣿⣿⣿⣿⣿⣌⠻⣧⠀⠀⠀⠀⠀⠀⠹⣍⢲⠖⢾⣛⣿⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢼⠴⠟⠋⠉⠙⢟⢹⡟⠋⠉⠙⠢⢬⣧⠀⠀⠀⠀⠀⢀⣟⡹⣯⣇⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⣉⣷⠦⠿⣌⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢟⣵⣿⠟⠁⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣫⣾⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣫⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣫⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⣫⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣾⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢹⠀ ⠀⠀⠈⢷⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⣼⠀ ⠀⠀⠀⠈⢳⠈⠑⠦⣄⠀⠀⠀⠀⠀⢀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⢀⠇⠀ ⠀⠀⠀⠀⠀⢳⡀⠀⠀⠙⡆⠀⡴⠋⠉⢹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⡼⠀⠀ ⡗⠦⣄⡀⠀⠀⠳⣄⣀⡴⠓⠚⠁⣠⡤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⢠⠀⠀⡼⠁⠀⠀ ⡇⠀⠀⠉⠙⢲⠀⠀⣨⠇⠀⠀⣸⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠁⠀⡠⠁⢀⡞⠁⠀⠀⠀ ⢹⠀⠀⠀⠀⠈⠙⠉⠀⣠⠞⠻⣇⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⠀⠀⢀⠜⠀⣠⠋⠀⠀⠀⠀⠀ ⠈⣇⠀⠀⠀⠀⠀⠀⠀⣧⡀⠀⠈⠳⣄⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⡰⠋⢀⠜⠁⠀⠀⠀⠀⠀⠀ ⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠉⡇⠀⠀⠈⠳⣄⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⡠⠊⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠈⠢⡀⠈⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⡠⠊⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠓⠢⠤⢀⣀⣀⡙⣆⠀⠀⠀⠀⠈⠢⡀⠈⠢⡀⠀⠀⠀⠀⠀⢀⠴⢋⠠⠊⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠈⠢⡀⠙⢦⡀⢀⡠⠞⢁⠔⠁⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠙⢯⡠⠚⢁⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠊⣹⢦⡀⠙⢶⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⢁⡠⠊⢁⡠⠛⢦⡀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⡠⠔⠁⣠⠔⠋⠀⠀⠀⠙⢦⡀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⢷⣼⣦⡀⠀⠀⠀⠀⣠⠖⠋⡠⠔⠉⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢏⠳⣄⣠⣴⡯⣧⠔⠉⣀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣨⡇⡤⠁⡶⢰⣇⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠚⣽⠀⠇⠒⠃⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠋⠀⠀⢛⡿⠛⠉⠹⣌⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠈⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⡴⠋⠀⠀⣠⠞⠁⠀⠀⠀⠀⠈⢳⡉⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠈⠳⣄⠀⠀⠀⠀ ⣸⢁⠤⡄⢸⠃⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠈⠳⡀⠀⠀ ⢹⡘⣦⡇⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠈⢢⡀ ⠀⢙⣛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠋⠀
⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣿⣿⣿⣿⡭⡀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴ ⠀⠀⠀⠻⣿⣿⣿⣧⡹⡀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠊⠀⡌ ⠀⠀⠀⠀⠈⢻⣿⣿⣷⡕⣄⠐⡀⠀⠀⠀⠀⡀⠄⠒⠉⡀⠀⢀⠊⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣯⣧⡠⡀⡠⠐⠈⠀⢀⠔⠈⢀⠔⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠴⡏⠀⠀⡠⠊⠁⢀⠔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⠁⠀⢳⡴⠋⠀⡀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⣴⠟⠒⡺⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠺⣄⣠⡾⠁⢀⣴⣟⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠁⠀⣼⠏⠀⡐⠁⠹⣿⣶⡐⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠁⢀⣮⠋⢀⠌⠀⠀⠀⠘⢿⣯⣈⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣡⡳⢁⠎⠁⠀⠀⠀⠀⠀⠀⠻⣿⣾⠄⢀⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡱⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣞⣅⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠈⢿⣖⣣⡀⠀⠀ ⠀⠀⠀⢠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠈⢿⣷⣣⠀⠀ ⠀⠀⢐⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠓⠚⠻⠿⠃⠀ ⠀⠀⠉⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣄⡲⣦⣤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠿⣿⣘⣿⣷⣧⡈⠉⢢⠀⠀⠀⠀⠀⠀ ⢸⣷⣤⢣⡟⢻⠟⡟⣿⣷⣽⡀⠀⠀⠀⠀⠀ ⠘⣿⣿⠎⣧⡜⢠⢃⣭⣝⢟⠃⠤⢄⠀⠀⠀ ⣀⣡⡠⢢⢿⣧⡾⠻⣿⠟⢋⢆⠀⠀⢇⠀⠀ ⡏⢹⠁⡘⢢⢀⠃⢰⠁⠀⢸⠸⠉⠁⢘⠇⠀ ⢣⢈⠀⡇⠀⣾⢀⡄⠀⠀⡌⣷⣶⣞⡟⠀⠀ ⠸⢸⣴⣥⠀⢫⢿⣿⡀⡔⢸⣿⣿⣿⠃⠀⠀ ⠀⠏⣿⣿⡆⠈⡌⣩⣷⡦⢄⢻⣿⣿⣆⠀⠀ ⠀⠸⡘⠿⠿⠖⣼⡿⡟⠀⠈⢆⢫⠉⠉⢢⠀ ⠀⠀⢣⠀⣤⡄⠁⠀⡇⠀⠀⠸⡼⠀⠈⢹⠁ ⠀⠀⠈⢆⢻⡇⡆⠀⢃⠀⠀⢰⣇⠀⣀⡎⠀ ⠀⠀⠀⠈⠚⠛⡜⢿⣿⣦⣀⢊⣿⣾⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⢍⣉⣁⠼⠿⠟⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣍⠓⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣤⠬⠷⠶⠤⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠿⠋⠁⠀⣀⣀⣀⣀⣀⠉⠳⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣿⠃⠀⣀⡴⠋⠁⠀⠀⠀⠈⠳⣆⠘⢦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⢰⠇⠀⣰⠟⠀⣠⢖⣫⣭⣝⠲⣄⠈⢧⠈⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⢀⡏⠀⠀⣿⠀⢸⢡⣿⣿⣿⣿⣷⡸⡀⢸⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⣠⣶⣿⡇⠀⠀⢿⡀⢸⠸⣿⣿⣿⣿⣿⢣⠇⢸⠀⠀⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⣀⣴⣿⣿⣿⣿⣷⠀⠀⠸⣷⠈⠳⣍⡛⠿⣛⣡⠎⠀⢸⠀⠀⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⣀⣤⣾⣿⣿⠋⠁⠈⢿⣿⡇⠀⠀⢻⣇⠀⠀⠉⠉⠁⠀⠀⠀⢸⠀⣠⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠞⢁⣤⠾⣻⡿⠿⠿⠃⠀⠀⠀⠀⠘⣿⡀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⣷⡶⠛⠑⠚⠁⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⡷⢦⠘⣷⡀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⢋⣤⢾⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⠿⠟⢋⣉⣤⣶⡿⢧⠹⣧⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⠀⠀⣀⣴⣿⣧⣾⣫⠖⠋⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣏⣤⣶⣾⠿⠛⠉⠀⠀⠘⣆⢹⣇⠀⠀⠀⠀⠀⣸⣿⠀⠀ ⠀⠀⢀⣠⣞⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⠿⠛⠋⣿⣿⣇⠀⢀⣀⣤⣴⡿⠟⣆⠻⢷⣤⣄⣠⡴⣻⠏⠀⠀ ⢀⣔⣿⣿⣿⣏⣡⣩⣿⡄⠀⠀⠀⠀⢀⣠⡴⠖⠛⠉⠀⠀⠀⠀⢻⡘⣿⣾⣿⣿⣿⣿⣶⢖⣋⣷⣦⣬⣭⠽⠞⠋⠀⠀⠀ ⠸⣿⣿⡆⢹⣿⣾⡿⣿⣇⢀⣤⠶⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢹⣝⠿⣿⡿⠟⣛⣯⣽⡷⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⣿⣇⠀⣿⣿⡿⣿⡿⠙⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣾⣧⡙⠿⣷⣿⡿⠿⣫⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⣿⣿⣿⠿⠟⠛⡇⠀⢻⣿⣧⠀⠀⠀⠀⠀⣀⣴⣾⢿⣿⣿⣿⣿⣿⠿⠷⢶⡒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⠛⠁⣀⡀⠀⣹⡄⠈⣿⡿⠀⠀⣀⣀⣘⡿⣿⣷⣿⣿⣿⣿⣛⣛⠷⣦⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⣟⣟⡻⣷⣦⣿⣿⣾⣿⣷⣤⣿⢷⡶⠿⣿⣿⡛⠛⠺⢯⣿⢹⣿⣿⡋⠉⠳⣽⣇⠀⠓⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⢹⣷⣽⣿⡿⠿⣻⣭⣷⣶⣿⡿⣄⠀⠈⠻⣧⡀⢸⣿⣿⡏⣯⡇⠀⣠⣯⣿⣷⣦⣤⡀⢈⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⠋⣴⣟⣽⣷⣿⣆⣹⣿⣿⣿⣿⣷⣙⢧⣄⠀⠈⣷⣸⢺⣏⣧⣀⣶⠿⠛⠻⠿⠿⠿⠯⠵⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣇⣄⠙⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡷⢶⣶⠾⠿⣿⡖⣿⡹⣿⣧⡤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣏⠛⣿⣿⣿⣿⣿⣗⣦⣤⣀⣤⣴⣶⣶⣿⣧⡀⠀⣿⣿⣼⣿⣿⡙⠃⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣷⣿⡿⣛⣽⠟⣿⣿⣛⠛⠻⢿⣿⣿⣿⣿⣿⣾⣿⣿⣛⣽⠟⠃⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡟⠛⠉⠉⣾⣿⣾⣿⣿⣿⣿⣷⣶⣶⣷⣮⣉⣽⡿⠿⠏⢻⣿⣿⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠙⢦⡶⣽⣿⣿⣿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡆⠀⠉⠁⢀⣤⠶⠋⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣯⡿⠿⣛⣻⣿⣟⣛⠿⣯⣝⣛⠿⢿⣿⣿⣾⣧⢤⣤⡾⠋⠁⠀⢀⡴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣹⣿⣿⣿⣿⣿⣿⣿⣧⣴⣍⠛⡿⣶⣮⣭⣭⣵⡿⠋⢀⡞⣠⠖⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⢤⣄⢙⣿⡿⢿⣿⣟⣿⣿⣿⣿⣦⣬⣭⣽⣿⢿⠀⣾⡞⠁⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⣾⣅⣿⣏⣭⣤⣉⠙⠿⢿⣟⣿⠿⢿⠿⣠⣾⡏⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣇⠻⠿⠿⣿⣿⣿⣿⣿⣿⣦⣄⣉⠙⠛⠛⣉⣽⡟⣤⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠓⠲⢤⢤⣉⣛⣛⡛⢛⣛⣛⣛⣛⣛⣛⣛⣥⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣦⡀⠀⠀⠀⣠⣶⣶⠶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠧⣄⠙⢷⣟⠀⠀⢈⣷⣿⣁⡴⠋⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣧⣄⠀⠘⠳⣄⠙⢧⣤⠟⢁⡿⠋⠀⢀⣠⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡟⠁⠙⠿⣧⡄⠀⢈⣷⠟⢁⡴⠋⠀⠀⣴⡿⠋⠀⠟⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⢹⣿⡴⠟⢁⡴⠋⠀⠀⢀⣾⡟⠀⠀⢀⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡴⠋⢀⡴⠉⠀⠀⠀⠀⣾⡏⡇⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢀⡴⠋⠀⠀⠀⠀⢀⠔⢳⣑⣽⡋⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠙⢦⡀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠿⢦⡴⠋⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠀⠀⠀⠀⠀⠙⢦⣠⠟⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀⢀⣴⠻⣦⡀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠁⠀⢀⣴⣿⠏⠀⢀⡴⠂⠀⢀⡴⠋⢠⣤⠎⣿⣦⡀⠀⠘⢦⡀⠀⢻⣷⣄⠀⠀⠈⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⣈⣷⣴⡿⠟⠁⢀⡴⠋⠀⢀⣴⣟⠀⣷⠶⣿⢶⡏⢈⣿⣦⡀⠀⠙⢦⡀⠙⠿⣿⣦⠞⡃⠉⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⣠⡞⠉⠃⠀⠀⢀⡴⠋⠀⢀⣤⣟⣁⡹⣷⡄⠘⠛⠂⢠⡿⢛⣻⣿⣤⡀⠀⠘⢦⡀⠀⠀⠀⠈⢲⡄⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⠋⣠⣾⣿⣿⡆⠀⢀⡴⠋⠀⠀⣠⡞⠉⠉⠉⠉⢻⣿⡄⠀⢀⡿⡵⠋⠉⠉⠉⠛⣦⡀⠀⠙⢦⡀⠀⢀⣼⣿⣷⣄⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⣶⠞⢻⣦⣾⣿⢯⣿⡾⣿⡴⠋⠀⠀⣤⣼⡿⡇⠀⠀⠀⠀⢸⠫⠃⠀⠸⡇⡇⠀⠀⠀⠀⢰⢿⣷⡄⠀⠀⠙⠦⣼⠁⠉⣹⣿⣷⣄⡈⠛⣿⣷⣦⡄⠀⠀ ⠀⢻⣽⠟⠁⣶⠟⡿⡏⣯⣏⣾⡿⠋⠀⠀⠀⢰⣿⣿⠃⠹⢦⣀⠀⢠⣯⠶⠚⠛⠓⠿⡿⣆⢀⣀⡤⠏⠀⣸⣿⡇⢀⣀⠀⠈⠳⣄⠹⡾⣿⣿⠷⣶⠊⠙⣦⡇⠀⠀ ⠀⢸⡇⠀⠚⠁⠀⢹⡽⣸⡾⢋⡤⠞⠋⠉⢳⡜⢿⣿⣷⣤⣤⠼⢟⢟⠁⠀⠀⠀⠀⠀⢙⢯⡻⢷⣤⣤⣴⣿⠿⠃⡼⠉⠙⠓⠤⣈⠳⣿⣹⡽⠀⠀⠑⠀⠘⣆⠀⠀ ⣠⡟⠀⠀⠀⠀⠀⣀⣿⣯⣴⠋⠀⢀⣀⠀⠀⢻⢀⡤⠭⢿⣧⡜⢁⡞⠀⠀⠀⠀⠀⠀⠘⢧⡈⣷⢼⣿⢉⣤⣤⣸⠃⠀⣤⣤⠀⠈⢻⣌⡻⣇⠀⠀⠀⠀⠀⠙⢦⡀ ⢿⣶⡶⠶⢦⡄⠀⠉⠙⣨⠿⡀⠀⠘⠛⠀⠀⠘⢾⡒⠃⣸⠋⣇⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡼⠀⣿⡈⠙⣺⡞⠀⠀⠛⠋⠀⢀⡏⢧⠙⠋⠃⢀⡴⠒⠚⠿⠿⠃ ⠀⠀⠀⠀⠀⣻⠀⠘⡷⠃⠀⢻⡀⠀⠀⠀⠀⠀⠀⢳⡀⣿⡄⢻⣷⣠⠀⠀⠀⠀⠀⠀⠀⣤⣿⡇⢀⣿⡇⢰⠋⠀⠀⠀⠀⠀⠀⣾⠀⠈⢻⡁⢀⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠛⢧⣜⣁⡀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠈⢷⣿⣷⣸⣿⣷⣤⣀⣀⠠⢄⣤⣶⣾⣿⡃⣼⣿⣣⠇⠀⠀⠀⠀⠀⠀⢰⠃⠀⢀⣀⣙⠾⠟⢧⣀⠀⠀⠀⠀ ⠀⢤⣴⣊⣁⡴⠾⠛⠛⠛⢷⣄⠘⣆⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡏⠛⠛⠛⢀⣶⣆⠛⠛⠛⠉⣹⠁⣯⠏⠀⠀⠀⠀⠀⠀⢠⡇⣠⡾⠛⠛⠛⠻⠦⢤⣈⣉⡿⠗⠀ ⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠻⣆⠹⡄⠀⠀⠀⠀⠀⠀⠀⢿⠟⢳⡦⣶⣀⢸⡿⠿⠀⣶⡖⣾⠃⢀⠏⠀⠀⠀⠀⠀⠀⠀⡾⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⢳⡀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠳⣼⡉⠀⢀⢀⠀⢉⡷⠁⢀⡟⠀⠀⠀⠀⠀⠀⠀⣸⢹⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡈⢧⠀⠀⠀⠀⠀⠀⠀⠘⢇⠀⠹⣟⠺⠾⠿⠛⡟⠁⢀⡞⠀⠀⠀⠀⠀⠀⠀⢠⡇⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠘⡆⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⢘⣆⠀⢀⡾⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⡟⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⢹⡄⠀⠀⠀⣀⡀⠀⠀⣼⣻⣵⡿⠀⠸⣿⣿⣟⢇⠀⠀⣠⣄⠀⠀⠀⣸⢁⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡄⢳⠀⠀⠀⠛⠃⢠⣼⣽⣿⡿⠁⠀⠀⠙⢿⣿⣮⡳⣄⠉⠁⠀⠀⢰⠇⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡾⠷⢤⣤⣤⣶⣿⣿⡿⠋⠀⠀⠀⠀⠀⠈⠻⣿⣿⣾⡗⣤⣤⡤⠾⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣾⠳⣴⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣏⡛⡶⠔⣶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣴⣶⣶⣶⣶⣶⣶⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⣀⣀⡈⠉⠙⢇⡀⢀⣈⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢔⣺⣩⣽⣿⣦⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⣪⠞⠓⠿⣿⢸⣤⣽⣇⠻⣛⠉⠉⠈⠳⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⡔⣹⠷⠶⢤⢇⡧⠴⠾⢿⣷⣌⠳⢄⠀⠀⠈⠣⡀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⡾⣼⣟⣡⡄⣠⢎⠞⠀⢠⠀⢠⣌⣻⣷⣌⠳⡄⠀⠀⠘⣆⠀⠀ ⠀⠀⢀⡴⠋⠀⡇⣿⣛⡻⢟⣡⠿⠶⠶⠾⢷⣾⠟⠉⠙⢿⣧⡘⣆⠀⣠⣿⣦⠀ ⠀⢀⣏⠀⠀⣴⠟⠒⠐⢒⣿⡏⠀⠀⠀⠀⠈⣿⡇⠀⠀⠈⢿⣷⡈⢿⣿⣿⣿⡄ ⠀⡞⠻⣷⣼⣏⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⢘⣿⣷⠸⣿⣿⣿⡇ ⢸⠃⠀⢨⣿⠛⠿⣶⣶⣿⣿⣤⣤⣤⣤⣤⣤⣼⣿⣶⣶⠾⢟⣿⡟⡇⣿⣿⣿⡇ ⢸⠀⠀⢸⣿⠀⠀⠀⠀⣿⡏⠉⠉⠉⠉⠉⠉⢹⣿⡇⠀⢠⣿⣿⡇⡇⣿⣿⣿⡇ ⠘⣆⠀⢸⣿⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⠁⢠⣿⣿⣿⣷⡇⣿⣿⣿⠃ ⠀⢿⠿⣶⣿⣄⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⢸⣿⢰⣿⣿⣿⣿⣿⢰⣿⣿⡟⠀ ⠀⠈⢧⠈⠹⣿⠿⠷⣶⣿⣿⣦⣤⣤⣴⣶⣶⣾⣿⡿⠿⣟⣿⣿⡇⣾⣿⡿⠁⠀ ⠀⠀⠈⢷⣄⠹⣆⠀⠀⠘⣿⡏⠉⠉⠉⣩⣽⣿⠇⣾⣿⣿⣿⣿⣼⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠹⡟⠿⣦⣀⣀⢹⣷⢠⣴⣾⣿⣿⣿⣼⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠢⡙⣯⢿⣿⣿⡟⣛⣛⣻⣿⡟⣭⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⢿⣷⣿⣿⣿⣿⣿⠿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣿⣿⢺⣟⡋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⣿⣇⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣶⣶⣾⣿⡿⠿⠟⠛⠉⠉⠉⠙⠋⠉⠉⠩⠉⠙⠒⠒⠢⣤⣤⣀⣀⠀⠘⢿⣿⢻⣯⣿⠛⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣤⣤⣤⣀⣠⣶⣤⡀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠉⣿⣿⣧⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣤⣿⣿⣿⣿⣿⣿⡇⠀⣿⣻⡟⠉⡇⠀ ⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠉⢹⣿⠀⢰⣿⠛⣿⠟⠁⠀ ⠀⠀⢠⣴⣿⣿⣿⣿⣿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠻⠿⣿⡇⠁⢻⣿⣦⣼⣿⠀⠀⠀⠀⠀ ⠀⣾⣿⣿⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⢸⣿⣧⣿⠀⠀⠀⠀⠀⠀ ⣰⡿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠸⣿⡏⠀⠀⠀⠀⠀⠀ ⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢀⣸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⠳⡤⢤⣤⣀⣀⡀⢀⣿⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⣾⣿⣶⣾⣮⣽⣿⡿⢃⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢻⡇⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣛⣿⣏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡆⣹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣽⣿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡤⢿⣇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠸⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⣿⣏⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢿⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠨⣿⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠚⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠸⣿⡿⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠻⣿⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡏⠉⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣶⣦⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⣶⢶⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣴⣶⡦⡄ ⣿⢿⣫⣾⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣷⣗⢾⡇ ⠛⠛⢿⣷⣷⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢤⡀⠀⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠛⠃ ⠀⠀⠀⠙⢿⣿⠭⣧⡄⠀⠀⠀⠀⠀⠀⠀⢻⢷⢹⡾⠓⠀⠚⢶⡿⣻⠇⠀⠀⠀⠀⠀⠀⠀⣠⡾⠽⣿⠟⠃⠀⠀⠀ ⠀⠀⠀⠀⠈⠹⣿⣿⣟⣧⡄⠀⠀⠀⠀⢠⣮⣿⣿⡷⠀⠀⠀⣿⣷⣷⡳⡀⠀⠀⠀⠀⣠⣾⣿⣿⡿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣗⣚⣿⡦⡄⣀⣴⣿⠿⠗⠀⠀⠀⠀⠀⠀⠀⠺⢿⣿⣦⣀⣠⣾⣿⣒⣺⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡿⢿⣯⣽⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⡿⢿⣧⡈⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⢁⣼⠮⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣤⢀⣀⢴⣾⡿⠛⠑⢄⠑⢵⣄⠈⢦⡀⠀⠀⠀⠀⠀⢀⡴⠃⣰⡿⠋⣰⠛⠛⢿⣗⢦⣄⡀⣠⣄⠀⠀⠀ ⠀⠀⠸⢿⣾⢍⣾⡟⡿⠀⠀⠀⠈⠳⡀⠱⣕⣄⠑⣄⠀⠀⠀⡠⠋⣠⡪⠋⢀⠞⠁⠀⠀⠀⠻⢻⣖⣫⣿⡿⠃⠀⠀ ⠀⠀⠀⢰⡟⠛⠟⠂⠀⠀⠀⠀⠀⠀⠙⢦⡈⠫⡢⡈⠳⣤⠞⢀⢾⠋⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠿⠋⢺⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠘⢊⠞⢁⣴⠟⠁⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡵⠁⣠⡚⠁⡠⢏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢠⡾⠋⣠⠞⠥⡀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⢁⢔⠋⢀⠞⠉⠢⡀⠫⡢⡈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠔⠗⢁⡴⠋⠀⠀⠀⠙⢆⠈⠳⣄⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⡠⠊⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠑⢄⠉⢧⡀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠜⠁⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠙⢄⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠑⣄⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣌⠢⠈⢧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠋⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣌⠢⠱⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⠁⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠘⢆⠀⠀⠀⠀ ⠀⠀⠀⢸⠵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢾⡆⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⠀⢀⣤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣏⠑⢌⢢⢔⠗⢁⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡈⢳⢔⠕⠁⣠⡏⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢜⠕⠁⠀⠀⠫⠯⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠚⣳⠁⠀⠀⡠⡄⠀⠀⠈⣖⠑⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⢺⣤⠞⢁⠔⢠⡎⣴⣮⢢⡈⠢⡘⠷⡤⠓⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⢊⣴⣇⠀⠔⢁⡔⠓⢻⡌⢡⡟⠛⠂⣄⠀⠀⠨⣦⡑⢤⣀⠀⠀ ⠀⡾⠫⠺⡿⡿⢋⠀⢰⣟⠣⣀⡬⠓⠚⢧⣀⠜⢹⡆⡀⡑⢌⣿⡖⠝⢿⠀ ⢰⣁⡀⠠⠿⡎⠠⠄⢁⠉⣿⣪⠃⠀⠀⠐⣽⢿⢭⡼⠠⡄⢱⡽⠄⢀⣈⡦ ⠀⠀⠨⣄⠎⠐⡀⠀⠀⢡⣧⢻⣄⠀⣀⣰⡏⣼⡔⠀⠀⠀⠆⠘⢤⢇⠀⠀ ⠀⠚⠒⠉⠉⠳⡱⠀⠀⠀⠹⢯⢩⠱⠮⣩⡜⡸⠀⠀⠀⣼⠞⠉⠉⠒⠚⠁ ⠀⠀⠀⠀⠀⠀⢳⢃⠀⠀⠀⢡⠹⡢⠖⡞⠰⠁⠀⠀⠰⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣏⡄⠀⣄⢀⣷⡇⠸⣶⣅⠠⠄⢀⢳⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣞⣤⣴⡿⠋⠀⠀⠘⢿⣷⣤⣨⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠀⠀⠀⠀⠀⠀⠈⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⣤⣼⣿⡏⠓⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⢞⣩⣤⣤⣤⣍⡻⣦⣄⡹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⢫⣿⣿⣿⣿⣿⣿⣷⠈⡇⠙⠻⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢺⠸⣿⣿⣿⣿⣿⣿⣿⠃⣷⠀⠀⠀⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢧⡻⣿⣿⣿⣿⣿⠟⠐⠿⣷⣦⣀⠀⠀⠀⠉⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠲⣬⣉⣯⣴⣿⣶⣄⡀⠉⠛⢿⣦⣄⡀⠀⠀⠈⠓⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣿⣯⣛⠿⣿⣿⣿⣿⣶⣤⣀⠉⠻⢷⣦⣄⠀⠀⠈⠳⢶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠻⢿⣶⣨⣝⣿⣿⣿⣿⣷⣦⣄⡈⠙⠿⣶⣄⡀⠀⠈⢻⣯⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡿⣏⣴⣿⡿⣿⣿⣷⣦⣄⡉⠻⣷⣦⣸⣿⡆⠘⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠈⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢀⣿⢙⢾⣷⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⡿⣿⣍⠻⣿⣿⣿⣾⣿⣿⣿⡈⠛⢮⡻⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣽⣾⣿⣿⣿⢇⡎⣹⣿⡋⠉⣻⡖⠚⠃⢹⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣯⣽⣿⣿⢳⣿⣷⣿⣽⣿⣶⣿⠁⠀⠀⢰⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣼⡉⣇⣀⣽⣿⠉⢨⣽⡆⢀⣼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡇⣿⣭⣟⡉⠓⠚⠋⣠⡼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣿⣿⣿⣿⣿⣿⣇⠈⠛⠛⠿⢿⡟⢋⡁⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣶⣾⣯⣭⣽⣯⣀⡀⠀⠀⢀⡄⠸⡷⠻⣤⠤⢤⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣼⡿⢿⣯⣷⣢⠼⣃⢠⡇⣴⠃⠀⠀⠙⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⢛⣿⢻⣿⣿⣇⣾⠿⠛⠛⠻⠦⣹⡽⢡⣤⢤⡀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⢸⠻⣼⣿⡿⣽⠁⠀⠀⢠⢾⠍⢹⣷⠠⣈⡓⣿⡜⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⣠⣾⣷⢿⣿⣇⣿⣀⣀⣀⣈⣿⣀⣾⣿⣷⣦⠟⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠟⠾⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⣿⡿⠿⠿⠿⠿⣏⣏⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠷⠀⠀⠀⠀⠀⢠⡿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⣴⣶⣶⣶⣶⣤⣤⣤⣄⣠⣄⣀⣀⣀⠀⠀⠀⠀⣸⣷⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⢿⠀⠉⠉⠉⠉⠉⠁⢰⢻⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⢀⣿⡿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⣴⣶⣶⡶⠶⠶⠶⠶⠶⠿⠿⠾⠻⣿⠹⣏⠉⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢉⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣤⣶⣾⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠲⠤⣭⡭⠵⠚⠛⠛⠛⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣠⣿⠀⠀⠀⠀⠀⣀⠉⠉⠉⠙⠒⠶⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣤⠤⢤⣄⣀⣿⠳⠦⠾⠛⠁⣠⠴⣄⠀⣿⡉⣽⠄⠀⠀⠀⠀⠀⠀⠈⠙⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠙⠛⠦⣬⡉⠁⠀⢠⡤⣤⠀⠻⣤⣟⣇⣼⣿⡿⠤⠤⠤⢤⣄⣀⡀⠀⠀⠀⠀⠉⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣷⡀⢹⣤⣼⢀⣠⠿⠟⠋⠉⠉⣀⣀⣠⣄⣀⣀⡈⠉⠓⠲⢤⣄⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡇⠻⣦⣀⡾⠛⠁⠀⣀⡶⠖⠋⠉⠁⠀⠀⠀⠈⠉⠉⠓⠲⠦⣌⡙⠳⢤⣀⠀⠈⠳⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⠁⠀⠈⠻⢶⣄⣀⡾⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠶⢭⣳⢤⡀⠘⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣷⣌⣳⡀⠀ ⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣷⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⢀⣀⣀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⢸⣭⣹⠗⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡿⣦⡄⠀⠈⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢷⡘⠻⠀⠀⠀⠀⡾⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠰⣆⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⣹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡗⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣿⠀ ⠀⠀⠀⢠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⡟⠀ ⠀⠀⠀⠀⠻⣟⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⢠⡇⠀ ⠀⠀⠀⠀⠀⠙⣆⠈⠙⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⣼⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠉⠳⣄⠀⠀⢠⡶⠶⠛⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⢰⡇⠀⠀ ⣤⡀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⣻⣀⣠⠟⠀⠀⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⢠⡟⠀⠀⠀ ⣿⠙⠓⠦⣤⡀⠀⠀⠘⠳⢤⣤⡾⠋⠉⠁⠀⣠⠶⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⠀⣰⠃⠀⢠⡟⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠉⠉⢻⠀⠀⢀⣨⠏⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠁⠀⠀⡴⠁⠀⣠⠏⠀⠀⠀⠀⠀ ⠸⡆⠀⠀⠀⠀⠀⠘⠶⠶⠚⠁⢀⣤⠶⣶⡛⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡋⠀⠀⠀⣠⠞⠁⢀⡼⠋⠀⠀⠀⠀⠀⠀ ⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠈⠻⣦⡀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⢀⡴⠃⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣤⣠⠀⠀⠈⠻⣆⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⣠⠎⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠈⠳⣄⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⣠⠞⠁⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠈⠳⣄⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠁⣠⠞⠁⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠲⣤⣀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⣠⠞⠁⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠲⠶⠦⠤⣤⣻⣆⠀⠀⠀⠀⠀⠀⠈⠷⣄⠀⠙⢷⣄⠀⠀⠀⠀⠀⢀⣴⠟⢁⡴⠊⠁⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣀⠀⠙⢧⡀⠀⣠⠶⠋⢀⡴⠋⠀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠙⢿⡁⡠⠚⠁⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠿⢧⡀⠀⠹⣧⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⢀⣠⠞⠛⣦⡀⠀⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠁⣠⡴⠋⠀⣠⡶⠋⠙⢦⡀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⢀⡤⠊⠁⢀⡴⠞⠁⠀⠀⠀⠀⠙⢦⡀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣄⡸⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠋⢀⡴⠞⠁⢀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣤⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⢿⣽⢷⣄⠀⠀⠀⢀⣤⡞⠋⣀⡤⠚⠁⢀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠙⢷⣤⣶⠿⠗⢾⠞⠁⠀⣠⡖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡧⣶⠶⠒⡾⢠⡏⣠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠈⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⢟⡿⢠⣇⡠⠼⠇⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡖⠋⠀⢸⣧⣤⣤⡶⠤⣆⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡾⠁⠀⠀⠀⢠⡴⠏⠁⠀⠀⠘⢧⡌⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡾⠁⠀⠀⢀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠹⣏⠉⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⡟⢀⣤⣄⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠳⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠙⢦⡀⠀⠀⠀ ⢸⡇⢸⠀⢹⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠈⠻⣦⡀⠀ ⠀⢷⣜⣿⣯⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⢈⡿⠂ ⠀⣀⣉⣛⠛⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣛⠋⡀⠀
⢠⡖⣶⢶⣦⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⢾⣶⣦⡄ ⢸⣿⣷⣟⣷⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣦⡻⣮⣿⡇ ⢸⣿⣾⣿⣿⣻⣻⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣟⣿⣿⡇ ⠀⠀⠀⠻⢿⣿⣻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣯⣳⣆⣀⣀⠀⠀⣀⣀⢰⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣿⠷⣛⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⣿⣟⡟⠛⠁⠀⠙⢻⣿⢻⣿⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡛⠾⣯⣿⠏⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠿⣿⡥⠽⢟⣧⡄⠀⠀⠀⠀⠀⠀⢀⣾⣾⣽⣿⣿⠀⠀⠀⠠⣿⣿⣶⣷⣵⡄⠀⠀⠀⠀⠀⠀⢀⣴⡿⠯⢭⣿⠿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣭⡽⠿⢦⣀⠀⠀⢀⡴⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣝⢦⡀⠀⠀⢠⡼⠿⣥⣭⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣟⣛⣻⣿⣧⣶⣿⢿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣶⣴⣟⣛⣛⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣶⣿⣿⣿⣿⠿⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⢟⣿⣿⣷⣾⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣧⣄⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢀⣼⣷⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⣤⣞⣷⣿⡟⢦⡀⠙⣌⢢⡀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⢀⣴⣣⠞⠁⣴⠿⣿⣿⣿⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡟⣯⣧⠖⣿⣭⣾⣿⠁⠀⠀⠀⠹⣄⠈⠳⣕⢄⠀⠳⣄⠀⠀⠀⠀⠀⠀⣠⠞⠁⣠⢾⠟⠁⣠⠞⠁⠀⠀⠈⢿⣷⣬⣿⣲⠼⣽⣿⡆⠀⠀⠀ ⠀⠀⠀⠈⠛⣿⣭⣷⣿⡏⠸⠃⠀⠀⠀⠀⠀⠈⢳⡀⠈⢳⣵⣄⠈⠳⣄⠀⠀⢠⠞⠁⣠⢾⡿⠃⢀⡼⠁⠀⠀⠀⠀⠀⠈⠋⠹⡿⣮⣽⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠉⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠙⢮⡲⣀⠈⢷⡴⠋⢀⣶⡿⠋⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠛⠉⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠙⢞⣶⠟⠀⡴⡿⠋⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠞⠁⣠⡺⠊⠀⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢀⢞⠕⠀⣠⣾⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⢀⡴⡯⠁⢀⡴⠋⠊⠢⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⡠⡫⠋⠀⣴⠋⠙⢦⡀⠙⢝⣆⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⣠⣮⠟⠁⣠⠞⠀⠀⠀⠀⠙⢦⠈⠱⣗⣄⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⢀⠜⠁⠁⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠳⣄⠈⠻⣷⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⡐⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠈⢣⣄⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠈⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡄⠘⢲⡄⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠘⢧⡀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠙⢆⠈⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡈⠁⣄⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣌⠓⠘⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⠀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣟⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⢦⠀⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡟⡷⣱⠂⠀⢀⣧⡝⢦⡀⠀ ⠀⣴⡀⠀⠈⢹⠧⣿⣷⡶⠿⠋⠘⣆⢱⠀ ⢸⢣⠻⠿⢿⠿⣏⠉⠀⢧⠀⠀⠀⠸⡀⡇ ⢸⡸⠀⠀⠀⠀⢿⣆⠀⢼⠤⣲⠄⢀⣷⠃ ⠀⢣⣳⡀⠀⢰⡾⢧⡀⠸⡇⠘⠲⣾⠏⠀ ⠀⠀⠑⢷⣦⠀⡟⠈⢻⡉⢣⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠈⠑⠓⠀⠀⣿⠈⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠸⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠂⢣⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠈⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣻⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⢿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡏
⠀⠀⠀⢀⣠⢦⣤⣄⡀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣶⣦⡹⣿⣿⣟⣉⢻⡿⠶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣿⣿⣿⣿⣇⢙⣿⣿⣿⣿⣇⠀⠀⠈⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⣏⠀⢀⡏⣿⣾⣿⣿⣿⣿⢻⡇⣶⣦⡄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣾⣿⢀⣿⠁⠙⣿⠋⢸⠘⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⣿⡼⢻⣄⣠⠏⠀⡿⠀⠛⠛⠿⢿⡿⢷⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⢻⠙⠿⠛⠀⢸⣿⣿⠀⢠⣣⣴⣿⣿⣷⣌⢣⡀⠀⠈⠉⢳⡀⠀⠀⠀ ⣀⡈⣇⢠⠖⢦⢸⣿⣿⣤⣾⠿⣿⣿⡿⠟⠙⡆⢳⡀⠀⠀⠀⢳⡀⠀⠀ ⡟⠿⣿⠏⠀⢸⣇⠙⠛⢫⠏⠀⢨⡟⠁⠀⠀⣷⠀⡷⠤⠤⣤⣀⣷⡀⠀ ⡇⠀⡼⠀⠀⡞⠉⢦⠀⡼⠀⠀⣾⠀⠀⠀⠀⡿⢠⠇⠀⠀⠀⠀⣽⠁⠀ ⣧⠀⡇⠀⠠⡇⠀⠘⡇⡇⠀⠀⡇⠀⠀⠀⢀⡇⣼⣤⢶⢰⣰⣼⡇⠀⠀ ⢸⠀⣇⠀⠀⡇⠀⠀⣧⣿⣤⣾⡇⠀⠀⠀⡾⢠⣿⣿⣯⣿⣿⡿⠀⠀⠀ ⠸⡇⢻⣤⣦⣿⠀⠀⢹⡸⣿⣿⣷⡀⢀⡼⠁⣼⣿⣿⣿⣿⣿⠇⠀⠀⠀ ⠀⢷⢸⣿⣿⣿⡇⠀⠀⢧⠙⠿⢿⣷⣊⠀⠀⠘⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠘⡆⣿⣿⣿⣿⡀⠀⢸⡄⣠⣾⣿⣿⡟⠳⣄⠘⣿⣿⣿⣿⣿⡄⠀⠀ ⠀⠀⢳⠘⢿⣿⣿⣿⣄⡞⣼⣿⣿⣿⡏⠀⠀⠈⢧⠹⡏⠛⠟⠉⠹⣆⠀ ⠀⠀⠘⣇⠀⠉⠙⠋⠁⢰⠏⠛⠙⣿⠀⠀⠀⠀⠘⡆⢹⡦⠤⠤⣄⣸⣦ ⠀⠀⠀⢹⡄⠀⢠⣴⡄⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⣷⣼⠁⠀⠀⠀⢰⡇ ⠀⠀⠀⠀⢳⡀⢸⣿⣇⢸⠀⠀⠀⣧⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⣼⠀ ⠀⠀⠀⠀⠀⢧⠈⣿⣿⡈⣇⠀⠀⢸⡄⠀⠀⠀⠀⣿⣧⡠⡄⣀⣰⡇⠀ ⠀⠀⠀⠀⠀⠈⠳⣾⣟⣧⠹⣿⣾⣿⣿⡄⠀⠀⡼⢻⣿⣧⣿⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡘⠿⣿⣿⣿⣦⠞⠁⣿⣿⣿⣿⣿⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⡀⠀⠀⣀⣤⣿⡿⠿⠛⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡞⣉⡀⠻⣿⣿⣷⣶⡾⠻⣶⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⣧⣿⣿⣿⣦⢹⣿⣿⣷⣶⣦⡈⣏⠉⠙⠻⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⢧⡿⡻⣿⣿⣿⡆⢩⣿⣿⣿⣿⣷⢿⣀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡏⡿⠀⠀⠀⡞⢸⣇⣿⣿⣿⣿⣿⣿⣸⣿⢸⢸⢸⣰⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⢻⣿⡈⣆⣶⠇⣸⣿⠛⢻⡿⣿⠟⢹⡇⣿⣾⣎⡿⡏⡞⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣼⣿⣿⣿⣿⢀⡿⡏⠀⠀⢹⠏⠀⣼⠀⢹⣿⣿⣿⣿⣷⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⡟⣿⣿⣿⣿⡾⠁⡇⡄⣠⡟⠀⠀⣿⠀⠀⢉⣉⠙⠻⣿⠿⠿⢦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⡘⠿⠿⠟⠁⠀⣿⣿⣿⡇⠀⢸⢃⣤⣾⣿⣿⣿⣦⡘⢧⠀⠀⠀⠈⠉⠻⣆⠀⠀⠀⠀⠀ ⠀⠀⠘⣷⠀⢀⣤⣤⠀⣿⣿⣿⡇⢠⣿⣿⣿⣿⣿⣿⣿⠟⢷⡘⣷⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀ ⢰⣶⣦⣼⣤⡞⠁⠸⣇⠹⣿⣿⣿⢿⡟⠉⠛⢿⣿⠟⠁⠀⢸⡇⠘⣧⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀ ⢸⡋⠿⠿⡟⠁⠀⢀⣿⡀⠈⠉⠁⡾⠀⠀⠀⣾⠃⠀⠀⠀⠀⣿⠀⢸⠛⠒⠶⠶⠶⢤⣿⡆⠀⠀ ⢸⡇⠀⢸⠇⠀⠀⣼⠁⠹⣦⠀⢰⡇⠀⠀⢸⠇⠀⠀⠀⠀⠀⡏⠀⡟⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀ ⢸⡇⠀⢸⠀⠀⠀⡇⠀⠀⠹⡆⢸⠀⠀⠀⣼⠀⠀⠀⠀⠀⢸⡇⢰⢧⢠⢤⢠⢠⢄⢾⡏⠀⠀⠀ ⠈⣷⠀⢸⠀⠀⠀⡇⠀⠀⠀⡇⢸⡄⠀⣀⣿⠀⠀⠀⠀⠀⣾⠁⣿⡞⡿⡜⣾⣜⣸⣾⠃⠀⠀⠀ ⠀⣿⠀⢸⠀⠀⠀⣷⠀⠀⠀⣿⢸⣷⣿⣿⣿⠀⠀⠀⠀⣸⠇⢸⣿⢻⣳⣷⣷⣿⣿⡇⠀⠀⠀⠀ ⠀⠹⡇⢸⣰⢠⣦⣸⡄⠀⠀⢸⡇⢿⣿⣿⣿⣆⠀⠀⣸⠏⠀⣼⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⠘⣿⣿⣿⡿⣿⠀⠀⠀⢻⠈⠻⣿⣿⣿⣦⠾⠃⠀⠀⢹⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⢹⡆⢿⣿⣿⣿⣿⡆⠀⠀⠘⡇⠀⠀⢉⣭⣥⣶⣤⣤⡀⠀⢻⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠈⣷⠘⣿⣿⣿⣿⣷⡀⠀⠀⡿⢀⣴⣿⣿⣿⣿⡟⠉⠻⣦⠀⢻⣿⢿⣯⣞⣟⣽⣦⠀⠀⠀ ⠀⠀⠀⢸⡆⠘⣿⣿⣿⣿⣿⣄⣼⢣⡾⣿⣿⣿⣿⠏⠀⠀⠀⠈⣷⡈⢿⡏⠋⠟⠋⠈⠹⣦⠀⠀ ⠀⠀⠀⠀⢷⡀⠈⠙⠻⠿⠿⠛⠁⣼⠻⠿⠿⡿⡿⠀⠀⠀⠀⠀⠈⣧⠀⢷⣄⣀⣀⡀⠀⠙⣧⠀ ⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⣀⠀⠀⡇⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⢸⠀⣸⠉⠉⠉⠉⠙⠛⣻⠁ ⠀⠀⠀⠀⠀⢹⡄⠀⠀⣾⣿⡇⠀⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⡇⡿⠀⠀⠀⠀⠀⢰⡟⠀ ⠀⠀⠀⠀⠀⠀⢿⡄⠀⣿⣿⣷⠀⡇⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⢸⣧⡇⠀⠀⠀⠀⠀⣼⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⠀⢹⣿⣿⡆⢻⡀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⢸⣿⢃⣠⠀⠀⡀⣠⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣷⣀⣿⣿⣧⠘⣿⣠⢔⣤⣾⣧⠀⠀⠀⠀⢀⡟⣿⡞⡏⣇⣇⣷⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⠶⠿⣆⠘⢿⣿⣿⣿⣿⣧⡀⠀⢠⡿⢡⣯⣿⣿⣿⣿⣼⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡈⠻⢿⣿⣿⣿⣿⡶⠋⠀⢸⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⡀⠈⠉⠉⠁⠀⠀⢀⣾⣿⣿⣿⡿⠟⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠶⠶⠶⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡠⣐⣚⣯⡐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⢿⣿⣿⡷⡇⠁⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣻⣥⣍⡓⠦⣀⠁⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠑⢺⣽⣿⣷⣮⣝⡲⢤⡉⢳⢠⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠙⢻⣿⣷⣿⣿⣠⡿⣦⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣽⣏⣱⠘⢡⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣯⣧⡿⠼⢂⠎⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡈⠙⡋⡾⡄⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢤⣾⣿⡿⠻⣕⡖⢥⡀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⣼⣿⣿⣀⣘⣧⣷⡴⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⡁⣉⡉⠉⠀⠀⠟⠈⠉⢱⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡊⠉⠉⠉⠉⣿⠉⠁⠀⣙⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠐⠒⠒⠒⠚⠒⠒⢪⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢄⣀⡠⠴⠶⠶⠿⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠻⣷⡦⠀⠀⢾⡿⢋⡿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡁⠈⠳⣌⠳⣄⡴⢛⡿⠋⠀⣨⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠈⠻⣦⡀⢈⡷⢋⡴⠋⠀⣠⡾⠋⢙⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢆⠀⢘⡿⢋⠔⠉⠀⠀⣼⢿⠀⣀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⢁⠔⠁⠀⠀⠀⡰⢿⣸⡖⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⢁⠔⠁⠀⠀⠀⠀⠀⢀⠜⠁⠙⢦⡈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠙⣳⠃⠀⠀⠀⠀⠀⣠⡖⠁⠀⠀⠀⠀⠘⡶⠋⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⢀⣴⠟⠀⣠⠀⠀⣀⠜⣁⡩⢦⡀⠀⠠⣄⠀⢻⣦⡀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣩⡷⠶⠟⠁⣠⠞⠁⣠⣾⡁⠶⢾⡷⠏⢸⣦⡀⠈⠳⢄⠙⠿⠦⠞⣉⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⣡⣾⡁⠁⠀⣠⠞⠁⢀⡴⠿⠤⣽⣆⠉⠉⣰⣏⡭⠿⢦⣀⠀⠑⢄⠀⠀⠈⣷⣄⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⣀⣠⡴⢮⣡⣾⣿⣿⣷⡠⠚⠁⢀⣴⣿⠀⠀⠀⢈⣿⠀⠀⣿⡇⠀⠀⠀⣸⣷⡀⠀⠑⢄⡘⠙⢻⣷⣄⠙⢶⣤⣄⡀⠀ ⠀⢺⡽⠋⡴⠻⣿⣻⣿⡿⠋⢁⣀⠀⣿⣟⠈⢦⣀⣀⣼⠖⠒⠒⠻⣷⣀⣀⠴⠁⢹⣿⡆⣀⡀⠙⢦⡘⢿⣿⡗⢦⠙⢧⡇⠀ ⠀⡸⠀⠈⠀⠀⢻⡿⢋⠴⠊⠁⠈⢧⠛⠿⣷⡶⣺⠟⡅⠀⠀⠀⠀⢘⠻⣟⢶⣶⠟⠛⢠⠁⠈⠑⠢⣽⢯⣷⠁⠀⠁⠀⢧⡀ ⢼⣥⣤⣀⡀⠰⠺⢛⣯⠀⠰⠷⠀⠸⣴⠭⢹⡿⣇⠞⠀⠀⠀⠀⠀⠀⢳⣹⠹⡗⠺⣽⡇⠀⠿⠇⠀⣸⡟⠟⠢⠀⣠⠤⣤⡷ ⠀⠀⠀⠀⣱⠀⢰⠎⠈⣆⠀⠀⠀⠀⠈⢧⣸⡇⢻⣇⡀⠀⠀⠀⠀⠀⣼⡇⢸⣿⢠⠋⠀⠀⠀⠀⢠⠃⠘⢎⠀⣼⠀⠀⠀⠀ ⠀⠀⢀⡰⠛⣳⣥⣤⡀⠘⡄⠀⠀⠀⠀⠈⢿⣿⣼⣿⣶⣦⢄⡒⣶⣿⡿⢧⣾⣿⠋⠀⠀⠀⠀⢀⠎⢀⣤⣬⣟⡋⠣⠄⣀⡀ ⠀⠙⠓⠒⠋⠁⠀⠀⠙⣦⠹⡀⠀⠀⠀⠀⠈⢿⡿⣤⣀⠀⣾⣿⡄⣠⢤⡞⢈⠏⠀⠀⠀⠀⠀⡜⣴⠋⠀⠀⠈⠉⠒⠒⠋⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢣⠀⠀⠀⠀⠀⠈⣆⠙⢾⡁⠀⣀⡀⣹⠎⢀⡎⠀⠀⠀⠀⠀⣸⣽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡎⢇⠀⠀⠀⠀⠀⠘⢆⠈⢏⠛⠛⢹⠃⢀⡞⠀⠀⠀⠀⠀⢠⢃⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡸⡄⠀⠀⠀⠀⠀⠈⣶⣾⡆⠀⣯⣤⣞⠀⠀⠀⠀⠀⠀⡌⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⢱⡀⠀⠸⠇⣠⣾⣿⡟⠁⠀⠙⣿⣮⣣⡀⠛⠀⠀⢰⢡⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣳⡲⢤⣾⣿⡿⠋⠀⠀⠀⠀⠈⠻⣿⣿⣷⡤⠖⣣⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣙⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣿⣸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣴⣶⣶⣤⣤⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠛⠛⠛⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⣀⣻⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⢀⣹⣿⠟⠻⣶⣶⣄⠀⠀⠙⣷⣶⣾⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡷⠞⣋⣽⣇⣴⢾⣿⢿⣿⣷⡄⠀⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⢋⣴⣿⣭⣿⣿⣿⠀⣿⠀⠈⣿⣿⠀⢸⣿⠿⠟⠛⠋⠉⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢋⣴⣿⠁⠀⠀⠉⠉⣿⢠⡟⠛⠛⢿⣿⣧⡀⠙⢶⣄⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢡⡞⢁⣿⡿⠶⢶⣦⣴⠇⣼⣧⣴⡶⠿⢿⣿⣿⣦⣄⠙⠳⣄⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⢡⣿⣶⠟⠋⠀⠀⠀⣸⠟⣼⠏⠀⠀⠀⠀⠀⡈⠛⢿⣿⣷⣄⠈⢳⣄⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⠃⣿⣿⣧⣠⣾⠃⢀⡼⠋⣼⠋⠀⠀⢰⣦⠀⠀⢻⣦⣀⣿⣿⣿⣷⣄⠙⢷⡄⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠟⠁⠀⣿⢸⣿⠿⠿⢿⣿⡾⠋⣠⣾⣧⣤⣤⣤⣤⣿⣷⣶⣾⣿⠿⠛⠉⠻⣿⣿⣦⡈⢻⣆⠀⠀⠀⢀⣿⣿⡄⠀⠀ ⠀⠀⢀⣴⠟⠁⠀⠀⢀⣿⡈⠻⠶⠶⠛⢋⣠⣾⡟⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⡇⠀⠀⠀⠀⠙⣿⣿⣷⡀⠻⣦⣤⣴⣾⣿⣿⣿⡄⠀ ⠀⠀⣾⡏⠀⠀⠀⢀⣾⡿⠛⠶⠶⠶⠛⢻⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣷⠀⠀⠀⠀⠀⠘⣿⣿⣷⡄⠹⣿⣿⣿⣿⣿⣿⣧⠀ ⠀⣼⣿⣿⣦⡀⢠⣿⡿⠁⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡆⠀⠀⠀⠀⠀⢹⣿⣿⣷⡀⢻⣿⣿⣿⣿⣿⣿⡄ ⢸⡏⠀⠙⢿⣿⣿⣿⣅⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⠀⠀⠀⠀⠀⢀⣿⣿⣿⣧⠈⣿⣿⣿⣿⣿⣿⡇ ⣿⠀⠀⠀⠀⣹⣿⣿⣿⣿⣷⣶⣤⣤⣾⣿⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣿⣿⣤⣤⣶⣶⣿⣿⣿⣿⣿⢿⡆⢹⣿⣿⣿⣿⣿⡇ ⣿⠀⠀⠀⠀⣿⣿⡇⠀⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⢉⣴⣾⣿⣿⢸⡇⢸⣿⣿⣿⣿⣿⡇ ⣿⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⢹⣿⣿⠃⠀⠀⠀⣼⣿⣿⣿⣿⢸⡇⢸⣿⣿⣿⣿⣿⡇ ⣿⠀⠀⠀⠀⣿⣿⡁⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠀⠀⠀⣸⣿⣿⣿⣿⣿⢸⡇⢸⣿⣿⣿⣿⣿⠀ ⠹⣧⣀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⠃⣼⣿⣿⣿⣿⡏⠀ ⠀⣿⣿⣷⣤⣽⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣿⣿⣿⠀⠀ ⠀⢻⣧⠙⠻⣿⣿⣿⣦⣄⣀⡀⠀⠀⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣸⣿⣿⣿⣿⣿⣿⣿⣿⠇⣸⣿⣿⣿⣿⠇⠀⠀ ⠀⠀⢻⣧⠀⠀⠙⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣶⣴⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⡿⢠⣿⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⠀⠻⣧⡀⠀⠸⣿⡆⠀⠀⠉⠉⠛⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠛⢛⣿⣿⣿⠉⣥⣶⣶⣿⣿⣿⣿⣿⢃⣾⣿⣿⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣷⣦⡀⠹⣿⡄⠀⠀⠀⠀⠸⣿⣿⡀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣿⢷⣿⣿⣄⠀⠀⠀⠀⢿⣿⣇⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣦⡈⠻⣿⣿⣷⣦⣤⣼⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡘⢿⣏⣭⣽⣿⣿⣿⣿⠿⠿⠿⠿⠿⣿⣿⣿⡏⣭⣴⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠾⣿⣾⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣄⣴⣾⠓ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣮⣷⣼⣶⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣶⠖⠒⠒⠉⠉⠉⠋⠉⠉⠉⠐⠒⠒⢤⣤⣄⣀⣘⣿⣻⣿⡟⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣴⣿⣦⣤⣄⣀⣀⡀⣾⣿⣿⣿⣯⡇⣸⣿⣷⣄⠀ ⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢻⡿⠀⣿⢾⣶⠞⠀ ⠀⢀⣤⣾⣿⣿⣿⠿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠿⣿⠀⢸⣿⣤⣿⠀⠀⠀⠀ ⢠⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣿⠀⠀⠀⠀⠀ ⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠈⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢠⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⡎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⢸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢠⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⡼⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣽⣝⣲⡲⣦⣴⠃⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠛⡇⠁⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠒⣿⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣆⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣺⣷⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡞⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢹⣯⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠚⣿⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⢻⣿⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣤⠻⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⣬⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢄⣀⠀⢀⣎⣧⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣮⡿⡿⣍⠉⠛⢯⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣤⡏⢀⡛⠋⠸⣏⡟⣷⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠒⣷⠯⠽⢠⠴⡎⢀⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣏⡷⢦⣤⣵⠷⣯⡻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠁⠀⠀⢧⠇⠀⠈⠻⣮⡹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠻⣮⡻⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡹⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣮⡻⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡻⣦⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡏⠈⡷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⡀⠀⠀⠀⠀⢰⣿⣿⡇ ⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⣿⣿⣭⣤⣄⣠⣄⡀⠀⢈⣷⣶⡾⢻⣯⡀ ⠀⢀⣠⣶⣿⣿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠿⠿⠿⣿⣿⣿⢛⡇⣾⠷⠃ ⣰⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢠⣿⠏⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢡⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡎⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⡸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⡰⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⡸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡰⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣀⡀⠀⡜⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⢿⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣽⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣹⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡼⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣉⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣯⠱⠄⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢼⠋⡠⠂⣀⠂⠕⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⢁⡆⢸⢰⣵⣿⣮⡌⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⢊⣤⡾⢻⡇⠘⡎⠪⠿⠕⠀⠀⡇ ⠀⠀⠀⠀⢀⢤⡪⠲⠛⠛⠀⢀⣹⣤⡸⡀⠀⠀⠀⡎⠀ ⠀⠀⣠⣖⡵⠟⠁⠀⠀⣠⣖⣭⠵⠚⠑⣳⠀⠀⢠⡇⠀ ⣴⢾⣟⣿⠀⠀⡀⠤⠒⠉⠁⣻⣴⣶⣯⣕⣽⠶⠕⠁⠀ ⢻⣏⣿⣿⠺⣇⠀⠀⠀⣀⣠⣵⣻⣿⣞⠟⠀⠀⠀⠀⠀ ⣾⣟⣡⣀⣆⣿⣀⣤⠾⣿⣿⡿⠟⣌⢂⡀⠀⠀⠀⠀⠀ ⡸⣿⣿⣟⣿⣾⡷⡈⠳⣸⣿⢻⡴⠿⣶⣤⠇⠀⠀⠀⠀ ⢳⢽⣿⣿⣟⣛⣿⣯⣋⣹⣽⣗⠖⠄⠀⠀⠀⠀⠀⠀⠀ ⡞⢛⣷⣿⣿⣭⣽⣟⡿⠟⣿⠁⢀⡌⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣟⣿⣟⡻⢿⣻⣷⣧⡤⡊⣁⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢩⡿⡿⡿⢷⣯⣭⡿⣠⠏⠠⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠫⠽⢛⣿⠿⠾⠭⠭⢿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠛⠛⠛⠻⣿⣟⠛⠋⠉⠀⠀⠀⠈⠛⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣦⣄⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⣀⣀⣤⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⣹⣿⡿⠿⠿⣶⣶⣦⡀⠀⠀⠈⠻⣿⣶⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣤⡾⠛⣛⣿⠃⣠⣶⣾⣿⣿⣿⣦⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⣡⣴⠿⣿⣿⣿⣿⠉⣿⠋⠙⠻⣿⣿⡆⠀⢿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⣡⡾⠿⠷⠶⣾⣿⣿⣿⠀⣿⣆⣀⡀⣼⣿⣿⠀⠸⣿⡟⠉⠉⠉⠀⠀⠀⠀⠈⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠟⣠⣾⣿⠁⠀⠀⠀⠀⠀⢩⡿⢀⣿⠛⠛⠛⠿⣿⣿⣦⡀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠃⣴⠏⠈⣻⣿⣶⣦⣤⣤⣤⣼⡇⣸⣯⣤⣤⣤⣶⣿⣿⣿⣿⣷⣄⠀⠙⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢁⣾⢋⣤⣾⠟⠁⠀⠉⠙⠛⣿⡟⢰⣿⠛⠛⠛⠋⠉⠀⠙⠻⣿⣿⣿⣷⣄⡀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⠃⣾⣿⣿⠟⠁⢀⣠⠀⠀⢀⣼⠟⢠⡿⠃⠀⠀⠀⠀⠀⠀⢠⣄⠀⠙⢿⣿⣿⣿⣦⠀⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⢿⣿⡇⢸⣿⣿⣷⣤⣴⣿⠇⠀⣠⡾⠃⣰⡿⠁⠀⠀⠀⢹⣧⡀⠀⠀⢿⣷⣤⣴⣿⣿⣿⣿⣷⣄⠀⢻⣷⡄⠀⠀⠀⠀⠀⠀⢹⣿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⢸⣿⠁⣿⣿⡿⣿⣿⣿⣿⣶⡿⠋⢀⣼⣟⣀⣄⣠⣤⣄⣨⣿⣷⣤⣴⣾⣿⣿⡿⠟⠛⠻⣿⣿⣿⣷⡀⠙⣿⣆⠀⠀⠀⠀⠀⢸⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⢸⣿⠀⢻⣿⣀⣀⣤⣼⠟⠋⣀⣴⣿⠟⠛⠛⠛⠛⠿⠿⠿⠿⠿⣿⣿⣿⡋⠁⠀⠀⠀⠀⠙⣿⣿⣿⣷⡄⠘⢻⣦⡀⠀⣀⣤⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⣸⣿⣷⣄⠉⠉⢉⣁⣠⣴⣾⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣄⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⠀⠀⠀⣿⣧⡀⠀⠀⠀⠀⣴⣿⡟⠉⠙⠛⠛⠛⠛⠉⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣆⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⢀⣾⣿⣿⣷⣄⠀⠀⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣟⢿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣾⡏⠈⠻⢿⣿⣷⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⢰⣿⠀⠀⠀⠈⠹⣿⣿⣿⣿⣶⣦⣄⣀⡀⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡇⠀⠀⠀⢀⣀⣤⣶⣾⣿⣿⣿⣿⣷⠀⢿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⠀⠀⠀⠀⠀⣼⣿⣿⠻⢿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣧⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⡿⠿⣻⣿⣿⠉⣿⡄⢸⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⡇⠀⠀⠀⠀⢠⣿⣿⣿⠀⠀⠀⠈⠙⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠉⢀⣴⣾⣿⣿⣿⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⠇ ⢸⡇⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡍⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⣿⣿⣿⣿⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡇⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⠀ ⢸⡇⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡇⣿⡇⢸⣿⣿⣿⣿⣿⣿⡿⠀ ⢸⣷⠀⠀⠀⠀⢸⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡇⣿⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀ ⠈⢿⣷⣄⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⠀⣼⣿⣿⣿⣿⣿⣿⠁⠀ ⠀⢸⣿⣿⣷⣦⣄⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡏⠀⣿⣿⣿⣿⣿⣿⡏⠀⠀ ⠀⠸⣿⣏⠻⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠹⣿⣄⠀⠉⠻⢿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢀⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠹⣿⣆⠀⠀⠀⢿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢛⣛⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣆⠀⠀⠀⢿⣿⡆⠀⠀⠀⠉⠉⠙⠻⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⠋⢁⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⠇⣴⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣧⣄⠀⠈⢿⣿⡆⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣴⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⣤⣈⣿⣿⡄⠀⠀⠀⠀⠀⠈⣿⣿⣿⡀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡟⠿⣿⣿⣿⣦⡀⠀⠀⠀⠀⢸⣿⣿⣧⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠙⢿⣿⣿⣿⣷⣶⣦⣬⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⡀⠻⣿⣏⠙⣛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣋⣉⣭⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡙⣿⣧⢻⣿⣿⣿⣿⣿⣿⡀⣦⣤⣤⣤⣤⣴⣶⣿⣿⣿⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠋⠉⢁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⣦⣄⡀⠀⠀⢠⣿⣈⣿⡄⠀⠀⠀⣀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣏⢙⣷⣾⣿⣟⠛⠛⠻⣶⣾⡛⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣹⡿⠋⢸⡏⣻⣷⢀⣀⣀⣙⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣠⣴⣿⠁⠀⣘⠛⠋⠁⠈⣿⣉⣽⠿⣿⠶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠿⢯⣭⣸⣷⣠⡾⠻⣧⠀⠀⠀⢘⠟⠁⢀⣿⣤⡶⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⢿⣿⠓⠚⠛⢠⣶⠛⢻⠃⢀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠻⣷⣤⣀⠀⠉⢻⣾⣶⣿⠛⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⡷⠶⠛⠉⢻⡟⠛⣿⠟⠉⠻⣷⣄⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢿⣼⠏⠀⠀⠀⠈⠻⣷⣄⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠙⢿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠙⣿⣦⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡟⠉⠉⢻⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣄⣠⣾⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⢰⡿⠈⣿⡄⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⣶⣤⣀⢀⣤⣿⣷⣶⣾⣿⣄⡀⢀⣠⣴⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣷⢀⣽⣿⢿⣿⣯⣉⠉⠉⠙⠻⢿⣿⣍⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⡟⠁⢸⣏⠈⢻⣷⡄⣀⡀⠀⠙⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣿⡟⠀⠀⢸⣿⠾⠟⠋⠀⣿⡟⠛⢻⣿⣿⣧⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣴⡶⠟⢻⣿⠀⠀⣠⣶⣄⠀⠀⠀⠀⠹⣷⣴⡿⠃⢹⣿⠉⠛⢻⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠛⠿⢶⣦⣼⣿⣤⣾⠟⠉⣿⡆⠀⠀⢀⣀⣈⠋⠀⠀⣼⣿⡶⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⢿⣿⡿⠿⠿⠿⠇⢠⣾⠟⠛⣿⠀⠀⣰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡿⣿⣦⡀⠀⠀⠈⠻⢷⣤⣿⣀⣼⡿⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡟⢀⣩⣿⣿⣷⣶⣤⣤⣬⣿⣿⠿⣿⣦⡀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡿⠛⠋⠁⠀⠈⣿⡍⠉⣿⠏⠁⠀⠈⠻⣿⣦⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠸⣷⣼⡏⠀⠀⠀⠀⠀⠈⠻⣿⣆⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠹⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠈⠻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠈⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠈⠻⣿⣦⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣤⣾⡿⠿⢿⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡏⠀⠀⠀⢹⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣦⣤⣴⣿⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢐⡖⠒⠒⠒⠒⠶⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣄⣀⣄⢀⣿⠤⠼⠟⢁⣤⣀⢠⡞⣲⠀⠀⠀⠀⠉⠑⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠓⠮⣉⠁⢠⡶⢦⠘⣷⣿⣤⡿⠿⠦⠤⠤⠤⣄⣀⠀⠀⠈⠑⠦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡷⣜⠓⣯⠴⠋⠁⣀⣠⠴⠖⠒⠒⠦⠤⢌⣉⠒⠤⣀⠀⠈⠢⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠀⠉⠻⣅⣀⡰⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⢽⣦⣄⠈⢦⡀⠀⠀ ⠀⠀⠀⠀⠘⢆⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣦⣷⡀⠀ ⠀⠀⠀⠀⠀⠈⢧⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⠂ ⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠁⢀⣀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡇⠀⠻⠿⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡙⣧⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⣄⢲⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣧⡿⣦⡀⠀⠀⠀⢸⡦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣉⡿⣤⡏⠀⠀⢀⣼⣷⣌⠹⣆⠀⠀ ⠀⢀⣦⠀⠀⠀⠈⣿⣧⣼⣿⣷⣶⣿⠟⠁⠘⣆⠘⣇⠀ ⠀⡾⣈⣷⣶⣶⣶⣿⡟⠛⠋⠙⣇⠀⠀⠀⠀⠸⡄⢹⠀ ⢰⡇⡇⠀⠉⠉⠉⠸⣿⡄⠀⠀⢹⡀⢀⡀⠀⠀⡇⢸⠀ ⠀⣇⢹⡀⠀⠀⠀⠀⢹⣿⠄⠀⢻⡟⠻⡟⠀⢠⣧⡏⠀ ⠀⠘⣆⢳⡀⠀⠀⣾⣿⠻⣄⠀⠸⣧⠀⠙⢳⣾⡿⠁⠀ ⠀⠀⠈⠳⣿⢦⡄⠀⡿⠀⠹⣗⠚⢻⠀⠀⠀⠛⠁⠀⠀ ⠀⠀⠀⠀⠈⠛⠷⣤⣇⠀⠀⢸⣧⠈⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⢻⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠈⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡄⢸⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣤⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⢿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣻⢿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣾⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡷⣾⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇ ⠀⠀⠲⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠇ ⠀⠀⠀⠡⡈⠑⢄⠀⡤⠔⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⡸⠀ ⢸⠂⠄⣀⠑⠤⡞⠊⡠⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⢃⠆⡠⠁⠀ ⠘⡀⠀⠀⠒⠊⡠⠲⡛⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠠⠂⡔⠁⠀⠀ ⠀⢡⠀⠀⠀⠀⠣⡄⠈⠢⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢃⠔⡠⠊⠀⠀⠀⠀ ⠀⠀⠑⠄⡀⠀⠀⠰⡀⠀⠘⢄⠑⢄⠀⠀⠀⠀⠀⡠⢊⠔⡡⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠐⠒⠒⠀⠀⠀⠑⢄⠑⢄⢀⡠⠊⠔⡡⠊⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡑⢄⠣⣊⠤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠊⠔⡉⠗⢌⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣲⡀⠀⠀⢀⡠⢊⠅⢊⠄⠊⠀⠀⠀⠑⡈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠕⠤⢶⠱⢊⠠⠊⠁⠀⠀⠀⠀⠀⠀⠈⠢⡈⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⡏⢧⠆⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡈⢂⠀⠀⠀⠀⠀ ⠀⢠⠞⠁⡠⠛⠁⠈⢼⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡑⢄⠀⠀⠀ ⢀⢣⠀⠘⠀⠀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠑⢄⠀ ⠀⢫⠷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⠃
⣿⣿⣷⡄⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣠⣾⣿ ⣿⣿⣿⣿⣦⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣁⣴⣿⣿⡿⠃ ⣿⣿⣿⣿⣿⣿⣄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣁⡤⠚⣁ ⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⣈⣥⣴⣾⣿ ⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⡀⠙⢿⣿⣧⣴⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣤⣼⠏⣼⠁⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋ ⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⡇⢸⠉⢳⡀⠻⣿⣿⡟⣠⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡟⣰⠃⠀⠀⣰⠉⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀ ⠀⠀⠈⠳⣤⣈⠻⢿⣿⣿⣿⣿⡄⠈⢰⠋⢙⣄⠙⣟⠸⠻⠿⣿⠿⢿⣷⣄⠀⠀⠀⠀⠈⠀⠀⣀⣀⣀⣀⣀⣠⣶⣿⣷⣦⣀⣼⡿⠧⣤⡀⠀⣇⣴⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣶⣿⣿⣿⣿⡇⠀⢸⡀⠚⠹⣆⠸⡄⠀⠀⢻⠀⠀⠈⠻⣷⣄⠀⠀⠀⢠⡟⠉⠁⣀⣼⣿⠿⠛⣿⠿⣿⠛⠉⠀⢉⡽⠀⣸⣿⣽⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⡀⠀⠇⠀⡄⠜⣀⣷⠀⠀⠘⣆⠀⠀⠀⠈⠻⣦⣀⣶⣾⣇⣠⡾⠟⠉⠀⠀⣰⠏⠑⡿⠀⠀⠀⣾⠃⢠⣿⢿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣦⡀⠘⢿⣦⡀⣹⡆⠀⠀⠘⠒⠒⠒⣀⣀⣽⡿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣿⠀⢠⣇⣀⣀⣠⠏⠀⡞⣿⣯⣤⡶⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣻⣿⣶⣄⡉⠉⠛⢿⡀⠀⠀⠀⠈⠉⠁⠀⠀⠀⢰⠀⣿⣿⣿⣿⣿⣿⣇⣾⡴⢋⣟⡟⠁⠀⢀⣸⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠿⢿⣿⣿⣿⣿⣷⣦⣤⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡂⠀⠉⠉⠉⠉⠉⠉⠁⠀⡾⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⣆⠀⠀⠀⠀⠀⠀⠀⠀⢉⣉⣄⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣄⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⢀⡤⠞⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠽⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢦⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⣀⡴⠚⡙⠃⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⣿⠀⠀⠀⠈⠻⣷⣦⣤⣴⣾⠿⢀⡴⠁⠀⠀⡀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠌⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⣿⠀⠀⠀⠀⠀⠙⠻⠿⠟⠋⠰⠋⠀⠀⠀⠀⡇⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠴⣶⣒⠈⠉ ⠀⠀⠈⠉⠉⠉⠉⠉⠉⣹⠓⢲⡶⠛⠓⠒⠲⢤⡀⣀⣠⠴⠚⠁⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⠛⠲⠤⣤⣶⡒⠉⠉⠙⢶⢶⡋⠉⠀⠀⠀⠀⠉⠛⠶ ⠀⠀⣀⠀⠀⠀⠀⠀⣸⠃⣰⠋⠀⠀⢀⣴⡖⠚⠉⣁⡀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢙⣿⠀⠀⠀⢸⣌⢷⡖⠂⠀⠀⢀⡀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⣒⣛⣍⣙⡓⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⣡⣾⣿⣿⣿⣿⣿⣷⣄⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⣼⡇⠿⢿⣿⡇⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣧⣀⠀⢀⠀⢀⣹⣷⡄⠘⣟⣿⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣖⣿⡿⢷⢿⠿⡿⠻⣿⠿⠽⣿⣧⣸⣿⣿⣷⣯⣝⣳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣿⣾⠟⠉⠀⠈⣿⣧⡇⢀⣀⠁⢀⣿⡏⣸⣿⡏⠀⠀⠉⡛⣿⣾⣽⢦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⣶⠒⠛⢛⣿⣿⣷⣶⣴⣶⣶⣾⣿⣹⣿⣯⡄⣼⣏⣴⣿⡿⠿⢿⣿⠟⠛⠛⠛⠻⢿⣶⣶⠿⢽⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣫⡷⠋⠉⠒⠋⠉⣁⣭⣽⣇⠉⠉⠉⠉⢻⣷⣞⣿⣤⣿⣿⡿⠉⠀⠀⠀⠈⠻⣦⣄⠀⠀⠀⠙⢏⢷⡄⠈⠱⣝⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢟⣼⠟⠁⠀⠀⠐⠚⠉⠁⠀⣼⡏⠀⠀⠀⣀⣤⡿⠟⠋⣉⣿⣿⡟⠒⠦⣄⡀⠀⠀⠀⢽⠦⠀⠀⠀⠈⢧⢻⡆⠀⠹⡆⢻⣷⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠀⣠⠴⠚⠉⠀⠀⠀⠈⠀⠀⣿⠈⠑⠀⠀⠉⠁⠀⠀⠈⢷⡄⠀⠀⠀⠈⢧⣻⣀⣴⣿⢨⣷⣮⣙⢷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⢋⣥⣴⣾⣿⡇⠀⠀⠀⠀⠀⢀⣠⣾⣿⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣿⣦⣄⣀⣀⠀⠈⣿⣿⣏⡾⠀⠙⢿⣦⡻⡄⠀⠀⠀ ⠀⠀⠀⢀⣴⢫⣶⣿⠟⠉⠀⠘⠃⣴⣤⣀⣤⣶⣿⣿⣿⣿⣶⠖⠒⠃⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠓⣺⣿⣿⣿⣿⣿⣿⠷⠊⢛⡌⠀⠀⠀⠀⢻⣷⢹⡄⠀⠀ ⠀⠀⠀⡼⢡⣿⡿⢃⡀⠀⠀⠀⢲⠛⠛⣿⡟⣫⣿⣿⣿⣏⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⢀⠀⠀⠀⠀⣀⣴⣿⢿⣿⣿⠹⣿⡇⠀⠀⠸⡆⠀⠀⠀⠀⠀⣿⣎⣿⡀⠀ ⠀⠀⣼⠃⣿⣿⠟⠉⠁⠀⠀⠀⡼⢀⣼⡟⣠⡿⣿⣿⡏⠻⣄⠙⠿⣿⣿⣶⠶⠶⠖⣀⣴⣿⣻⣿⣦⣈⡛⠶⠶⡿⢽⣿⣽⡿⣿⡏⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⢠⡿⢿⣿⣧⠀ ⠀⢠⡿⣰⡿⠃⠀⠀⣦⣄⠀⠼⣁⣾⢟⣴⠋⢧⠸⣿⣧⡀⠘⠳⠦⣭⣭⣤⡤⠶⠛⠛⠻⣿⣿⠟⠉⠉⠛⣿⡷⣾⡿⢿⡟⠁⣿⠃⠀⠀⠀⠙⠻⣷⣦⣤⣤⣤⣄⠀⢠⡞⠁⣹⣷ ⠀⣼⢱⡿⠀⠀⠀⠀⠻⣿⣷⡾⣟⡵⠟⠁⠀⠘⣦⠹⣿⣧⣠⣶⣄⠐⡌⣿⡄⠀⠀⠀⠀⢸⣯⣀⡤⠤⢴⣿⡇⢿⣧⢾⡆⣸⠏⠀⠀⠀⠀⠀⠀⠀⠈⣩⣿⠟⠁⢀⡾⢀⢀⣿⢹ ⣸⠃⢾⣧⣀⣀⠀⠀⠀⠹⣿⠚⠉⠀⠀⠀⠀⠀⠈⠳⣬⣻⡿⣻⡘⢷⣿⡿⠛⠻⠿⠿⠟⢿⡏⠀⠀⢀⣼⣿⡇⢸⡿⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⣀⡴⢋⡴⢋⣾⣏⡟ ⠹⣧⠸⣷⡀⠉⠓⠄⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⢿⢷⣄⣻⣿⣆⣀⠀⠀⠀⣸⣿⡶⠿⠿⢿⣿⡇⢹⣷⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⣋⡴⠋⣠⣾⢯⡾⠀ ⠀⠈⢳⡹⣷⣄⠀⠀⠀⠀⠸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣌⣹⣏⠉⠉⠛⠛⠛⢻⡏⠀⠀⠀⣾⣿⢁⣾⢻⡇⡇⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠞⠁⢀⣴⣿⣳⠏⠀⠀ ⠀⠀⠀⠹⣌⠻⢿⣶⣄⡙⠛⠿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣷⣤⣀⣀⣴⣿⣿⣶⣶⣾⣿⣥⣾⠁⠀⡷⡇⠀⠀⠀⠀⠀⠀⣠⣿⠟⠁⠀⢀⣴⣿⢟⡽⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⢳⣄⠈⠙⠿⣧⣄⠈⠛⢿⣶⣄⠀⠀⠀⠀⠀⢿⡇⢸⣿⡇⠹⣿⣿⡿⠿⠿⣿⠀⠋⠀⠀⣹⣿⠃⠀⢸⡇⡇⠀⠀⠀⠀⢀⣼⡿⠁⠀⢀⣴⡿⣋⡵⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠦⣄⡈⠙⠿⣦⣀⠙⠻⣷⣄⠀⠀⢀⣸⣿⣘⣿⣇⠀⠘⢿⣇⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⢀⣾⣽⣿⣶⣦⣀⣠⣾⠟⠁⣤⡾⢿⡽⠚⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⢮⣙⠷⣄⠈⠛⣿⣶⡿⠛⠋⠉⠯⣭⠭⣽⣎⢻⣆⠀⠀⠀⠀⢀⡾⢃⡴⢚⡽⠾⠃⠀⠈⠙⣿⡿⢃⣴⡿⣫⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢮⣽⣾⣅⠀⠀⠀⠀⣬⣟⡛⠒⢦⣻⣧⡉⠀⠀⠀⠀⠀⣠⣾⢞⣡⠞⢉⣤⣦⣀⠀⢘⣱⡾⣫⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣷⣶⣶⣶⣶⣶⣮⣧⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣞⣭⠤⠭⣽⣟⣛⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⣛⠛⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⡀⢐⣉⣱⢶⠖⡞⣻⣿⡐⣲⣖⢻⣞⢿⣿⢳⡖⣿⣱⠂⠰⢒⠒⡒⣶⣲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠗⣼⣤⣬⣴⣶⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣷⣾⠟⠉⠁⣀⣀⠀⠀⡙⠢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣇⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡐⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⢠⡶⡿⠿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣤⣤⢤⣤⣤⣀⣰⢚⣧⣻⣄⠀⠀⠈⠻⣖⢄⡀⠀⠀⠀⢀⣠⣶⣾⣿⢿⣿⣿⣶⣤⣀⠀⠀ ⠀⠀⠀⢀⣠⢶⣫⣭⠶⠛⡷⠞⠉⠉⠉⠉⠉⢙⣿⠷⠾⣿⣿⡏⢿⣷⢀⠀⠀⠙⢷⣝⠀⣠⣾⡿⢋⣵⡶⠿⠿⠿⢿⣿⣝⢿⣷⡀ ⣀⡴⣾⡿⠟⠉⠁⠀⢠⡾⠋⠳⣄⠀⠀⣠⡶⠋⠁⠀⠀⣰⣿⣧⢸⡟⣿⡆⠀⠀⠀⠙⣾⣿⡏⣴⡟⢁⣴⣶⣾⣿⣶⣝⢿⣷⠉⠃ ⣽⣟⣡⣶⡀⠀⠀⠀⣿⣀⣀⣠⣿⡷⠞⠉⠀⠀⠀⠀⣾⣿⣿⣿⣿⣧⠈⢷⣦⡀⠀⠀⢹⣿⠀⡏⢠⣿⣿⣿⣿⣿⣿⣿⣦⠋⠀⠀ ⣵⠋⢹⣿⠀⠀⠀⠀⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣶⣏⢿⡇⠀⠀⢸⣿⠀⣧⡘⣿⣿⣿⣿⣿⣿⣿⠟⣠⠀⠀ ⣀⣠⣾⣿⠀⠀⠀⠀⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣧⣿⠿⣷⣄⠀⠀⣿⣇⠙⢷⣌⠙⠛⠛⠛⣛⣧⡾⠃⠀⠀ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠙⠻⣄⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠟⠋⠁⠀⠀⠈⠻⣦⠀⠈⢻⡄⠀⠈⠙⠛⠛⠛⠋⠉⠀⠀⣀⡄ ⣿⣿⡟⠀⠀⠀⠀⠀⢀⣠⣾⠃⠈⢧⡀⠀⠀⠀⠀⠀⢠⣻⣿⠁⠀⠀⠀⠀⠀⠀⢰⣿⣷⡀⠀⢿⡄⠀⠀⣀⣠⣶⣶⣤⣀⠀⣿⡇ ⠛⠉⣅⠀⠀⣀⣤⣶⡿⠟⠁⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⣼⣿⡄⠀⠀⠀⠀⠀⠀⢸⡇⣿⣷⣄⠈⣷⡞⢸⣿⣿⣿⣿⣯⢻⣯⣿⣇ ⠀⠈⠛⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⣠⠞⠀⠀⠀⠀⠙⠛⠛⠋⠉⠙⣷⡸⣝⢿⣆⢻⣿⡘⠿⣿⣿⠟⣣⣾⠿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡶⢾⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣯⣽⣦⣝⡻⠷⠶⠶⠟⣋⢰⣿⣿⡿ ⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣤⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠉⠛⠚⠛⠉⠉⠈⣿⣿⠁ ⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⡀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢀⣼⣿⣿⣧⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣾⣿⣿⣿⣿⣷⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣀⣠⣤⡤⠖⠒⣒⠒⠶⠶⠲⠶⠶⢒⡒⠒⠒⠒⢦⣄⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠛⠉⢂⡀⠄⠀⣀⠀⠀⠀⠉⠭⠉⠩⠴⢂⠅⡢⢄⠀⠙⢦⠀⠀⠀⠀ ⠀⠀⣼⠀⠀⠰⠁⠀⠀⠀⠃⠀⠀⠀⠈⢀⣠⣤⣤⣤⣈⠪⠂⠁⠀⠈⢧⡀⠀⠀ ⢠⢞⢅⡒⠒⠂⠛⠛⠿⠿⣶⡤⠀⠀⢾⣭⠴⠞⣟⠛⠻⠃⠔⣂⣀⣐⡚⠛⢦⡀ ⢸⡆⡇⠚⠉⠳⠤⠆⠀⣀⡾⠀⠀⠀⢀⡀⢀⠀⠈⠙⠒⠚⠋⠁⠀⠀⠹⡄⠋⢷ ⠸⣗⠕⠀⠀⠀⠀⠄⠺⢯⡀⢀⠠⠴⠮⢩⠏⠉⠁⠀⠀⠀⠀⠀⠀⠀⢰⢇⢇⡞ ⠀⢹⠀⠀⠀⢀⣀⣤⢤⡤⠽⡯⠤⢤⣤⣄⣀⣀⠀⠀⠀⣀⠀⡀⠀⠀⠀⣵⠟⠀ ⠀⢸⠀⠀⣰⣻⣰⣯⣼⣥⣼⣇⣀⣰⡇⠀⠀⢩⡟⠲⣤⡀⠑⠌⠀⠀⢸⠏⠀⠀ ⠀⢸⢀⠀⣿⣿⡿⣿⠿⠛⢿⠛⠻⡿⠿⠿⢶⣾⣤⣀⠀⡽⢦⡀⠀⠀⠸⡆⠀⠀ ⠀⢸⢸⠀⣿⣼⣧⠾⠒⠚⠛⠓⠒⠛⠶⠤⣤⣇⡈⠙⠻⣿⢦⣿⣄⠀⠀⢹⡀⠀ ⠀⢸⡌⠄⢻⡏⠀⠀⠀⠀⠀⠈⠀⠂⠀⠁⠀⠀⠉⠙⠳⠿⣄⡈⢻⣄⣀⠀⣧⠀ ⠀⠀⠙⢦⣈⣀⣀⣀⡤⠴⠒⠚⠛⠛⠓⠲⠦⢤⣀⡀⠀⠀⠀⠉⠻⠁⠀⠀⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠦⠤⠤⠤⠤⠞⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠶⠶⠶⠶⠶⠶⢶⣦⡀⠀⣀⣤⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣉⠍⠀⠀⢀⣠⡙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠏⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠓⠢⣿⡨⣿⠀⢠⠞⢋⣀⠉⠳⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⢸⠇⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠻⠂⢸⡿⢞⣉⡄⠀⠀⣈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⢠⡏⠀⠀⠀⠀⠀⢰⣿⠓⠚⠋⠉⠙⠒⠲⠶⠒⠀⠿⠛⠉⠙⢿⡀⠀⠈⠳⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⡿⠁⠀⠀⠀⠀⠀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⠈⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠫⠀⠶⠚⠁⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡿⣤⠾⠛⠛⠻⠷⠿⠶⠇⠀⠀⠀⢠⣾⠋⠟⠩⠙⣿⠀⢀⡄⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡤⢶⣲⠖⠂⠀⠠⠶⠖⣹⣿⠛⠃⣴⣞⣭⣥⣤⣄⡈⠳⣄⠀⢠⣾⣿⣒⣂⡰⢠⣿⣆⡟⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⣴⠋⠀⢀⣠⣤⣤⣤⣾⡏⠀⠀⠀⠉⣿⠾⠿⣷⣿⣝⡆⠹⠀⢸⣿⣿⣿⣾⢹⡶⣿⣾⣤⢾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠸⠃⢀⡴⣿⣿⣯⣏⣁⣺⠇⠀⠀⠀⠀⠉⠛⠒⠀⠋⠁⠀⠀⠀⠸⢻⠀⠀⠀⠀⠀⢿⣄⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣷⣾⠀⠀⡞⢀⢸⠏⣫⣯⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠘⡿⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⢸⡇⠀⠀⠃⣿⠸⣇⢻⡿⠳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⡏⢰⣤⣀⣼⣷⠀⠀⠀⠀⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⡇⢸⡇⠀⠀⢠⠇⠀⢿⣿⢇⠀⠸⣆⠀⠀⠀⠀⣠⡤⠶⠚⠋⠈⠛⢹⡟⢻⡛⠛⢄⠀⠀⠀⣿⠃⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡇⠈⣇⠀⢀⡿⠀⠀⠀⢿⡇⢣⡀⠈⠃⠀⠀⠚⠁⠙⢿⣦⣤⣤⣤⣴⣄⣾⣁⣀⣼⡷⠀⠀⣿⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⡄⠸⣆⣾⠁⠀⠀⠀⣼⢷⣾⢧⠀⠀⠀⠀⠀⠀⠀⢠⡙⢶⣶⣾⣿⣿⣿⣿⡿⠁⠀⠀⠀⡟⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣾⡟⠀⠀⠀⢰⡇⠀⢹⡾⣆⠀⠀⠀⠀⠀⠀⠀⠙⠦⣍⡙⠛⠿⣿⢿⣥⠀⠀⠀⢠⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠃⢀⠀⠀⣼⠀⠀⠘⣷⠸⣆⠀⠀⠀⠀⠀⢄⠀⠀⠈⠛⠓⠛⠛⠋⠁⠀⠀⢄⡿⠀⢀⣤⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⢸⢠⠀⠿⠀⠀⢀⣼⡇⠈⠳⣄⡀⠀⠀⠈⠳⢤⠀⠀⠀⠀⠀⠤⠞⠀⢰⡿⢳⣤⣩⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣄⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣌⠷⠇⠀⠀⣴⢏⡉⣧⠀⠀⠈⠉⠳⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣦⣴⠻⣅⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠾⠯⣍⣉⠉⠀⠀⠈⠉⠑⠢⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢶⣶⣾⡇⠈⣧⣿⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠛⠛⠉⠁⠀⢙⣿⠀⢿⡄⠀⠀⠀⠀⢀⣶⡋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡃⠀⠈⠛⠷⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⣀⠀⠀⣿⠛⠛⠉⠉⠉⠉⠉⠛⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠲⠦⣤⣄⡀⠀⠀⡾⠁⢀⡏⠉⢽⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠛⠉⠹⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⢾⣇⠀⠘⡅⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣤⣶⣶⣤⣀⣠⣤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠙⠲⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀ ⠛⠋⠀⠀⠀⠀⠀⠘⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠲⠤⢤⣤⣤⣤⣄⣀⣀⣠⣄⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡄⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣆⠀⠀⠀⠀⠾⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡤⠒⠖⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⡴⣿⣿⣮⡄⠀⠀⠀⠀⠀⠀ ⠀⢀⡎⣴⣿⢱⣔⠕⡄⡠⢒⡠⠴⠒⢁⠶⢢⡾⢸⣿⣿⣿⣿⢷⠀⠀⠀⠀⠀⠀ ⠀⢰⡇⣿⣿⡳⣿⣎⢼⣗⣥⡒⠒⢶⡃⢼⣿⣥⣾⣷⣿⣿⣿⡸⠀⠀⠀⠀⠀⠀ ⠀⠀⢧⢻⣿⣿⡿⠫⠑⠻⢿⣿⣗⣶⣿⡟⢽⣼⡇⠈⠻⣿⢏⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⡻⡏⠀⡠⠐⢈⣉⣙⡗⠸⢿⣇⠀⣿⣷⣶⣦⣌⢺⡯⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⠗⣱⠌⢀⣾⡟⣩⡽⣿⡀⣿⣿⣶⣿⣿⢲⠙⣿⣆⡱⠀⠀⠀⠀⠀⠀ ⠁⠐⠠⢾⡵⠃⢀⣾⣿⠰⣿⣶⣿⣧⢻⣿⣯⣿⣿⡿⣡⣿⣿⣾⠆⠂⠉⠀⠀⠀ ⠀⠀⢐⠟⠀⢁⣽⣿⡾⣷⣿⣿⣿⠿⢸⣿⣇⠛⠻⣿⣿⣿⣿⣿⣧⡄⠄⠄⠀⠠ ⠀⠠⡯⠤⣴⡿⠿⣿⣿⣿⣿⠟⠁⢠⣴⣿⣍⣭⣷⡌⡿⣿⣿⣿⣿⣧⠀⠀⣀⣀ ⠀⠘⢄⡸⣿⣿⣿⣿⣿⡷⡎⠀⠀⢻⣿⣿⣿⣿⡿⠇⠁⢩⣿⣿⣟⠁⠀⠀⠀⠀ ⠀⠀⠀⢈⢙⣿⣻⣿⣷⠏⡠⠂⡠⠂⠀⠈⠥⠀⠀⠐⣀⣼⡟⠁⠀⠉⠐⠀⠀⠀ ⠀⠀⢀⠔⠙⣦⡉⠙⡻⠚⢤⣤⣤⣧⣤⣤⡤⣶⣿⣿⣿⣿⣥⣀⣤⣄⣀⣀⣠⣾ ⠠⠂⠀⠀⠀⠨⣦⠈⠀⢤⣀⠀⠀⠈⠛⠓⠿⢝⣿⣿⢿⣿⠟⣼⣿⣻⡟⣿⠻⣿ ⠀⠀⠀⠀⢀⡰⠋⠳⣦⣠⣈⠉⠓⠒⠒⠀⠐⠢⣰⣬⣼⢇⣽⣧⡟⣾⢶⣿⠆⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠶⠖⠚⣋⣉⡉⠉⠉⠉⠙⠓⠲⠶⠦⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⠞⠉⠁⣀⣠⡴⠶⠷⠶⠶⠶⠶⠶⠶⠤⣤⣈⣙⠒⠮⠉⠑⠲⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣄⣒⡀⠀⣠⣾⡿⣆⡴⠖⠋⠉⠁⠀⠀⠀⠀⠀⢀⣀⣀⠠⢤⠒⠉⢿⠙⠓⠶⢦⣀⡀⠈⠉⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡾⣫⠁⠀⠉⣹⡿⠋⢩⠞⠉⠀⣀⣠⣤⠤⠒⠒⠋⠉⠉⠉⠁⠀⠀⠈⢧⢀⠈⢧⠀⠀⠀⠈⠙⢳⣦⡺⣽⣯⣳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡇⢸⠀⢠⣼⠋⠀⣴⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⣿⣀⣤⠶⠚⠛⣻⡿⡇⢀⣀⣀⡀⠀⠛⢯⡿⠿⠙⢿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⠀⠈⢀⣾⠇⠀⣼⣿⣿⣷⠠⡟⠛⠳⣤⠀⢀⣴⠟⡵⢂⣴⠟⠉⠀⠀⢀⣴⠿⠛⠛⠭⠀⢸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣷⣾⣿⡏⢰⢰⡿⠿⠿⢿⣧⠻⣜⠳⢾⣿⡟⠁⣤⣴⣾⣧⣄⣀⣀⣀⣿⣀⣀⠀⠀⠀⠘⢻⣿⣯⣽⣧⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡿⢻⡇⠸⢸⡇⠘⡆⠘⢿⡀⠈⣳⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣧⠈⣇⠀⠸⡇⠀⠁⠀⣾⣿⣿⣿⠿⠿⡟⠋⠙⣿⣿⣿⣿⣿⣿⣿⣄⣽⣿⣿⣿⣿⣿⣿⣧⡈⣿⣿⠟⠁⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀ ⠀⠀⠀⢻⡀⣸⡄⠀⢻⣷⣶⣶⣿⣿⡿⠋⠀⠀⢠⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢠⣾⣿⠇⠀⠀⠀⠀⠀⠀⠻⠃⡀⠀⡀ ⠀⠀⠀⠈⣿⣿⣿⣆⢀⠹⣿⡿⣿⡿⠀⠀⠀⢀⡈⠀⠀⠀⢈⡻⢿⣿⣿⣿⠿⠋⠀⠘⠻⣿⣿⣿⣿⣿⠛⠻⠛⠿⢿⢿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⠀ ⠀⠀⠀⠀⣿⠛⠉⠙⣿⣷⠌⠛⠿⣤⣀⠴⠃⠛⠀⠀⠀⣠⠞⠁⠀⢀⣿⣿⣒⣲⡖⢲⣖⢚⣻⣷⣄⠀⠀⠀⠉⠉⢉⣡⠟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣴⣤⣀⠀⢸⠀ ⠀⠀⠀⠀⢿⠀⢇⠀⢸⡟⠳⣦⣀⡀⠉⠀⡀⠀⠀⢠⡞⠁⠀⠀⢀⡾⣏⠛⢿⣿⡟⠋⠉⠉⠁⠀⢹⡆⢰⢀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⡿⠂⢸⠀ ⠀⠀⠀⠀⢸⠀⠘⠀⠈⠁⣰⡏⢩⠉⣶⠠⠟⠀⣠⡟⠀⠀⠀⠴⠋⠀⠉⠷⢤⣻⡿⢦⣤⣄⢀⣠⡾⠃⣼⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠉⠃⢀⡏⠀ ⠀⠀⠀⠀⢸⣀⣠⣶⣶⣾⡿⠀⠃⠀⠋⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠚⠓⠚⠛⠉⢀⡴⠃⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣾⠀⢸⠇⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⡀⢀⡇⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⠾⢶⡞⢻⡇⠀⠀⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢁⡁⠀⢸⠀⠀ ⠀⠀⠀⠀⢸⠟⠉⠉⢈⡿⠀⠀⠀⠇⠿⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠸⡇⠀⣷⢀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠞⠙⡄⡸⠀⠀ ⠀⠀⠀⠀⣸⠀⡆⢠⣿⡇⠀⠀⠀⠀⠀⢘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⢹⡄⠈⣧⣆⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢦⣀⣹⣇⣀⠀ ⠀⠀⠀⠀⣿⠀⠃⠸⢿⡇⠠⠀⡗⠀⡟⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠈⢳⡄⠘⣿⣄⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠈⣿⠇⠀⠀ ⠀⠀⠀⠀⣿⣀⣤⣶⣿⠀⠀⢰⠁⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠈⢳⣄⠈⢿⣄⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⣾⣥⢦⡟⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⢨⠀⢠⢞⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠻⣦⠲⣽⢷⣄⢱⡀⠀⠀⠀⠀⠀⣠⠞⠛⣫⡟⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⠛⠉⢈⣿⠀⡆⢸⠄⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⣀⣠⣤⠤⠤⠒⠚⠻⢮⣟⠈⠛⠣⢤⣤⡤⠴⠛⠁⢀⣴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⢰⡄⢸⣿⡀⠀⢨⡄⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⢓⠦⣤⣄⣈⣉⣡⡤⠞⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠈⢧⣼⣿⡇⠀⠈⣧⠀⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠠⡌⡇⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣹⣾⣿⣿⣿⣧⠸⠀⢻⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⢷⣇⡀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⠟⠋⢹⡆⠀⠀⣆⠘⣞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⠶⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢳⡄⣄⠸⣷⣿⠀⠹⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⢀⣀⣤⡤⠤⠖⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣞⠇⢸⣧⠀⠀⠠⡄⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠞⠛⠿⠦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣿⣿⣷⣳⡄⠙⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠷⠶⠶⠤⢥⣀⣀⡉⢙⡳⢦⣀⠀⠀⠀⠀⠀⠀⢀⠀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣦⡀⡀⢦⡹⢇⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⠴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙⠳⠶⣄⣈⠛⢶⣄⡀⠀⣴⡿⠾⣿⡆⠀⠀ ⠀⠀⠀⠀⣀⣀⣠⠤⠶⠖⠒⠉⠉⠁⠉⠛⢿⣄⣁⠈⠉⠉⠓⠒⠶⠾⣟⣉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⣮⣈⠙⣶⠋⠀⢠⡾⠁⠀⠀ ⢀⣴⠊⠉⠉⠁⠀⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠈⠉⠙⠲⠶⢾⣭⣅⡀⠈⣉⠛⢶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣁⠀⣰⠟⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⠒⠉⠉⠉⠀⠀⠀⠀⠉⠉⠉⠙⠋⠛⠒⠲⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣴⡴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣘⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢾⡍⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⣀⣽⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢾⡻⠋⠋⠻⢿⣷⡀⠀⢀⣀⣴⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠙⢻⣿⣿⡆⠀⠀⠈⠁⣆⠘⡿⣯⣿⣿⠟⣯⣥⣦⣄⣤⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣄⣠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠀⠀⠀⠀⠀⠘⡇⣧⠀⠙⠙⠀⠘⣿⣿⣿⣿⡓⠀⠀⠀ ⠀⠀⢀⣶⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⢹⡀⠀⠀⠀⢰⣿⡿⠿⠋⠀⠀⠀⠀ ⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⡘⡇⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⡛⠛⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⢹⡀⠀⢠⣿⣿⣿⢦⠄⠀⠀⠀⠀ ⠀⠀⠀⢤⣾⠷⠶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢃⠁⠀⠀⠈⣷⢠⣾⣿⣿⡀⠈⢠⣤⣄⡄⠀ ⠀⠀⠠⣿⣇⠀⠀⢨⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⢿⣿⣶⡶⠞⠛⠨⣿⣿⣿⣿⣿⣿⣿⣿⡿⠆ ⠀⢀⣸⡉⢻⣗⣲⣾⣛⣻⠿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣴⡾⠋⠀⠀⠀⣸⡟⠈⠉⣽⢿⣶⣿⡿⠟⠀ ⢸⣻⣄⣉⣳⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣈⣋⣀⣠⣤⣤⣴⣿⠹⣆⣠⣿⣞⡁⢀⠀⠀⠀ ⠀⣻⣿⣿⣿⣿⣽⣿⣿⡿⣿⢻⣿⣷⡀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠙⢿⣿⣶⣶⣿⠾⠛⢉⣿⣿⣿⣾⣷⣾⣿⣿⣯⣾⡀⠀ ⠀⣤⣽⣿⣿⣿⣿⣿⣿⡟⠛⠻⠷⣿⣿⣾⣷⡈⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠙⢿⣿⡵⣤⣴⠋⠉⢙⣿⣿⣏⣿⣿⣿⣿⠓⠃⠀ ⠀⠀⠀⣙⣿⣿⣿⡿⣾⣶⠂⢠⣶⣿⣿⠛⣿⣷⣾⣿⡆⠀⠀⢀⡦⠀⠀⠀⠀⣴⡄⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⣤⣦⣰⣬⡍⢻⣎⢿⣷⣶⣾⣿⣿⣿⣿⣍⠉⠀⠀⠀⠀ ⠀⠀⠴⣿⣿⠍⠘⣿⡙⢿⣿⣿⣿⣽⣿⢻⣾⢫⣽⣾⣻⣆⠀⣸⣷⣶⣆⠀⠀⠘⣿⣶⣆⣂⣀⠀⣀⣾⣿⡆⣬⣿⣷⡞⢿⣿⣿⣿⣦⣻⡿⢿⣿⣿⣿⣨⣿⣿⣆⣤⡄⠀ ⠀⠀⠘⠛⠿⡿⠿⠿⣿⣷⣶⣾⣿⣍⡻⣿⣷⡾⣿⠣⣿⡿⢺⣿⣯⣿⡟⠁⠀⠀⠙⢹⣿⣿⣿⣷⣿⣿⣿⣿⣎⣿⣼⣿⣧⣭⣿⣍⢸⣿⣿⣿⡛⢿⣮⣯⣿⣿⣿⣿⡧⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣏⣾⡿⣶⣿⣿⣿⣿⢛⣶⣄⠀⢀⣀⣘⣿⣿⡏⣿⣿⠈⢹⣿⣾⣿⣿⣨⡟⣉⣱⣿⡷⣽⣿⣿⣾⣿⣿⣿⡽⠛⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⣻⣿⣿⣼⣿⣿⣧⣭⣽⣿⣿⣿⣿⣿⣿⣿⣷⣿⣵⡟⠉⠉⣿⣿⣇⢹⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⠿⡍⠀⠙⠿⠿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⢉⣽⣿⠀⠉⠀⣿⣽⣿⣿⣿⣿⣦⣶⣿⣿⣿⣷⣼⣿⣿⡏⠉⠉⢿⣿⣮⣿⣿⣿⣿⣿⡶⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⢿⣿⣿⢿⣿⠛⠛⢿⣦⣼⣿⠋⠀⠀⢀⣠⣽⣿⡿⠿⠟⠺⣿⣿⣿⣿⠛⠛⣿⣿⡁⢀⣀⣴⣿⣿⡿⠛⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⢿⣼⣿⣦⣤⡿⠋⠙⣿⣿⣿⣄⣼⣿⣿⡿⣅⠀⠀⠀⠿⢿⣿⣏⣀⣴⣿⣿⣿⣿⣿⣿⡟⢿⠷⠾⠶⢿⣿⣿⠻⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⡿⢿⡿⠀⡄⣿⣉⣙⣿⡿⢷⣼⣧⠨⣵⣤⡶⢀⣼⣿⣿⣿⣿⣾⡿⠻⣿⣿⣿⣥⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠘⣷⡀⣐⡟⠛⠛⠋⠛⣿⣿⡍⠳⣦⣤⣴⣿⣻⣿⣙⡛⠛⠛⣇⠀⢿⣿⣿⡟⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⡀⠀⠹⢿⡿⡆⠀⠀⠀⠀⠘⠉⠁⠀⠀⠈⠸⠿⢿⣿⣿⡁⠀⠀⣿⠀⠈⠘⠻⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣷⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⢿⣿⣿⣿⣿⣟⣃⣀⣀⣀⣤⣤⣤⣤⣴⣶⡶⠾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣠⣔⡾⠿⠛⠛⠛⠶⠖⣢⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⡤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣦⡀⠀⠀⠀⠀ ⠀⢀⡾⠃⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀ ⢀⡾⠀⠀⠀⠀⣀⣤⣾⠟⠁⠀⠀⠀⠀⠀⠈⠻⣷⣤⣀⡀⠀⠀⠀⢷⡀⠀⠀ ⣼⠇⠀⠀⠘⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⣿⣧⣄⠀⠐⣧⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡙⠛⠢⢤⣿⠤⡀ ⣿⠀⠀⠀⠀⠀⠀⠻⣗⠒⠒⣺⠟⠉⠻⣗⠒⠒⣺⠟⢠⣇⠘⢆⠀⣿⣿⣦⣜ ⢿⡄⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠈⠉⠉⢡⢔⣿⣿⢃⠈⢿⣿⣿⣿⡋ ⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠁⠘⣿⣿⣿⣇⢸⠟⠿⠿⠡ ⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠿⠿⠟⠈⠆⠀⢸⡏⠀⣈⣆⠀⢀⣤⠀ ⠀⠀⠈⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⡏⠉⠉⠙⢿⣿⡛⢋⣠ ⠀⠀⠀⠀⠉⠲⣢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡗⠠⠤⠤⢤⣿⣿⣿⡟ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⠖⣠⣠⣠⣤⣤⡶⠾⠛⢻⠇⠀⢀⣀⣀⣿⣿⣟⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⡀⣀⡀⣰⣿⠋⠀
⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⢿⡇⠀⠀⣀⣸⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡟⢸⣣⣿⣧⣻⡿⠷⢽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⠋⠀⢸⠏⣿⠈⠳⣽⣦⡀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡴⠖⠒⠒⠂⠀⠀⠀ ⠀⢰⣾⠃⠀⣠⠞⢠⣿⡆⠀⠀⠙⢷⡤⣄⣉⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠖⠛⠃⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⡿⠀⠀⠁⣠⣾⠿⣷⡀⠀⠀⠀⢳⠀⠈⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣇⣀⣀⣸⠋⣠⣤⣿⣷⣠⠀⠀⣸⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠟⢀⣀⣠⡏⡼⣽⢻⡌⢿⢿⠿⠼⠋⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⡀⣀⣠⠤⠤⠶⠛⠒⠶⠦⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⢳⡞⠉⢀⣽⠀⣿⣿⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠾⠓⠉⠉⠀⠀⠀⠀⠀⠈⠉⠙⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⡀⠀⠀⠀ ⣾⠀⢸⡿⢻⢀⡿⠛⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⠶⢤⣀⠀⠀⠀⠀⠀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⣀ ⠃⠀⠈⢷⣸⣿⡤⠄⠀⢳⡀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠛⡆⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⢠⡿⠧⢤⣄⣀⠈⣷⠞⠉⠀⠀⠀⠉⢶⠀⠀⠀⠀⠀⠀⠀⠈⠳⣵⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠳⠙⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⢦⠀⢀⣨⠿⠁⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⢹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⢠⠖⣻⣶⣤⣈⣿⡓⠦⣄⣀⠀⠀⠀⠀ ⠀⠀⠀⣸⣀⡤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡟⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⣴⣣⠞⠉⠀⠀⠀⠈⠉⠛⠒⠮⢽⠶⠒⢦ ⢀⡠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠦⣤⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡛⢺⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⠀⠀⠀⠀ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⢶⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣠⠴⠋⠁⠀⠀⠀⠀⠀⣈⠉⠙⠒⠦⣤⡀⠀⠠⡇⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⡤⠖⠊⠁⠀⢷⡘⣦⠀⠀⠀⠈⢧⠀⠀⢀⣠⠴⢻⠃⢠⠞⠁⣠⠞⠉⠀⠀⠀⠀⠀⠈⠉⠓⠢⢤⣀⠉⠳⢦⣯⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀ ⠤⠤⠶⣒⠚⣽⠋⠀⠀⠀⠀⠀⠈⢳⡘⢧⡀⠀⠀⠈⢣⣠⡏⠁⠀⢸⢰⠏⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠻⡄⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⣤⣠⣄⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⢙⢦⡙⢦⡀⠀⠀⠉⠀⠀⠀⣼⡾⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⢻⣸⡇⢹⡳⣦⣄⣀⠀⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡙⠦⣍⡓⠲⠤⢄⡀⣀⣿⡇⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡜⣿⡇⠀⣿⡿⣀⡭⠉⠙⠛⠷⠴⠤⣤⣀⣀ ⠀⠀⠀⠒⠒⠒⠛⠦⢤⣀⠀⠀⠀⠀⢀⣀⣙⢦⣄⡉⠑⠒⠒⠐⠚⢸⡇⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠷⠴⠛⢯⣍⡀⠀⠀⠀⠀⠀⠀⡇⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⣉⣭⠿⠒⠚⠉⠉⠙⠓⠒⠒⠒⠢⢧⡇⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢹⣿⠀⠀⠀⠀⠈⠙⠳⢤⣄⡀⠀⠀⡇⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⠖⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠦⠄⢦⣄⣹⣵⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⣸⣇⠀⠀⢀⣀⠤⠴⠒⠀⣠⡯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣻⣷⣀⡞⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣤⣟⣡⡴⠚⠉⢀⣀⠤⠒⢺⣏⠀⠀⠀⠀⠀⠀

Warning: This item may contain sensitive themes such as nudity.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⠏⠁⠀⠈⠳⡄⠀⠀⢀⣴⣿⣿⠃⠀ ⢶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢄⡠⠤⣀⠴⠁⢀⣴⣿⣿⣿⠃⠀⠀ ⠀⠙⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⣤⠔⠒⠒⠁⠀⣀⠈⠢⢠⣾⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⠘⢿⣿⣿⣿⣷⣦⣀⠀⢠⠅⠀⠀⠀⠔⠊⠈⠄⢀⣿⣿⣿⣿⡿⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣷⣦⠀⢀⣊⠤⠀⠐⢶⠐⠄⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣮⣹⠸⠀⠀⠈⢀⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⡄⠰⣖⡀⡾⠿⣿⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠁⢀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣩⣿⣿⣿⡄⠀⠰⣿⣧⣾⡎⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡟⡀⠀⢿⣿⠟⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡿⢫⣾⣧⠀⠘⡋⡇⠀⢰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠄⡀⠰⣰⠀⠸⠤⠐⠒⠒⠠⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠟⠁⠀⠀⠈⠢⡿⠣⠀⣀⡔⠁⠀⠀⢈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⡿⠇⠀⠀⠀⠀⠀⠀⠈⠊⡀⢁⣀⣠⡠⠔⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠈⠐⠠⢤⠄⢑⣄⢀⠀⠀⠵⠋⠙⠀⣽⣆⠀⡰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢿⣿⠖⠊⠉⠉⠉⠉⠙⠻⠛⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣄⣀⣤⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣿⣿⣿⣿⠃⠀⠀⠀⠀⣀⣀⣀⣀⣀⣰⣟⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠻⣿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀ ⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢷⣴⢹⠇⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠙⠾⣀⣀⣤⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠻⢿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⣉⣛⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣴⣾⣿⣿⣿⣿⣿⣉⡉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⡛⠿⢿⣛⣯⡍⢿⣿⣿⠿⢷⣄⡀⠀⠉⠛⠿⢿⣿⣿ ⠀⠀⠀⠀⠀⢸⢰⢏⣽⣿⣷⣿⠿⣿⠿⠛⠛⢿⣿⣿⢾⣿⣿⣦⣀⠀⠀⠀⠈⠉ ⠀⠀⠀⠀⠀⢸⣿⣿⡿⠁⠟⠁⠈⠀⢀⣠⣤⣤⠻⣿⣿⢧⣿⠟⠁⠀⠀⠀⠀⠀ ⣤⣄⣀⡀⠀⢸⣿⡟⠀⠀⠀⠀⢀⡴⠋⠀⠀⢸⠇⢹⠿⢿⣿⠂⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣷⣿⣇⣀⣀⣀⣧⣞⠀⠀⠀⢠⡟⠀⠀⢺⢠⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡛⡳⠴⠞⡙⠉⠙⠓⠒⠋⠀⠀⢠⡕⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣷⣧⡀⠀⠈⣡⣄⡲⢬⠟⡐⡠⣿⣷⣶⣤⣤⣀⣀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠉⠋⠐⠁⡰⠋⠀⡟⠉⣻⣿⣿⣿⣿⣿⣿⣶⣦ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⡁⠒⢰⣬⣤⣴⡎⣧⠈⢀⠀⢹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠱⣠⣿⣿⣿⣿⣷⡙⡗⠈⠈⠹⡿⠿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠂⠐⠞⠻⣿⣿⣿⣿⡿⠿⡳⠤⢀⠴⢒⠖⠚⢿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠇⢂⠠⠤⢝⠐⠠⠭⠭⠀⠒⣸⣀⠀⠀⡖⠁⢠⠠⠘⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡟⠀⣊⠀⠀⡨⡃⠬⡩⠉⠲⠁⠀⠈⢶⠎⠀⠀⠀⡄⠄⢿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠤⠞⠛⠀⠙⠛⠋⠉⠉⠉⠛⠓⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢆⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀ ⠀⠀⠀⠀⣰⠏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀ ⠀⠀⠀⣴⢣⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⡦⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⢰⠇⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀⣿⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⣿⠀ ⠀⢠⡏⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⣰⠇⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⣆⡀⠀⠀⣸⠷⠶⢤⡀⠀⠀⢸⡆ ⠀⡾⠁⠀⠀⠀⠀⠀⡟⠀⢀⣷⠀⡼⠃⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⢀⣈⣿⡿⣗⣾⢃⠀⢀⡆⢻⣤⠀⠘⣿ ⢠⠇⠀⠀⠀⠀⢀⣼⠁⠀⣼⣧⠞⠷⠶⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⣻⠚⠛⠉⠉⢳⡀⣿⣰⣆⣸⡿⣸⡇⠀⠀⣿ ⢸⠀⠀⠀⠀⠀⣾⡟⢠⣴⠟⠉⣠⣤⣤⡀⠀⠀⠈⠣⣄⠀⠀⠀⠀⠀⠀⣿⣠⣴⣦⣄⠀⠙⢿⢷⣬⣛⣷⠏⠀⠀⠀⣿ ⢸⠀⡀⠀⠀⠀⣿⠷⠞⡟⠀⣽⠏⠀⠈⢻⡀⠀⠀⠀⠈⠓⠦⣤⣆⠀⠨⣿⠋⠀⠀⢹⣧⠀⠉⢹⡇⠀⠀⠀⢰⣦⢀⣿ ⢸⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⢿⣦⢄⣧⡾⠃⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠿⣦⣄⣠⣾⠏⠀⠀⠀⣷⠀⠀⠀⡀⡿⠀⡿ ⢸⠀⢘⡀⠀⠀⠀⠀⣿⠁⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⢻⠃⢼⠁ ⠈⣷⣼⣿⡀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⣼⣿⣬⡏⠀ ⠀⠹⡟⢻⡅⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣀⣠⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⣠⡟⠈⠻⠧⠀ ⠀⠀⠀⠀⢿⡀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠸⡷⠶⠶⠶⠶⠶⠶⠶⣦⡌⣿⠀⠀⠀⠀⠀⠀⣠⡾⠀⣴⣯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣦⡂⢹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠛⠀⠀⠀⢀⣠⣼⣿⣥⠞⢁⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠳⣿⡌⠛⣲⠤⣤⣀⣀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣤⣤⠴⠞⠛⠉⣠⣟⣿⠿⣶⢺⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣤⡼⠛⠳⣄⣉⣉⣩⣿⣿⣿⡉⠉⣁⣹⣿⣶⣤⣤⣤⠤⠤⣿⠏⠀⠘⣿⡅⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⣀⣼⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣽⣿⣿⣿⠷⣤⣤⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡟⠉⠈⠀⠹⣯⡿⣿⣿⣿⣿⣿⠟⢛⣷⡿⠋⠀⠀⠀⠈⠉⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢻⡆⠀⠀⠀⠀⠘⠿⣾⣿⡿⣧⣿⡾⠟⠉⠀⠀⠀⠀⠀⠀⣼⠁⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⢧⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠘⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣏⣬⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣇⢀⣈⣷⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡟⠛⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠉⠉⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⣧⠀⠀⣲⠤⢄⣀⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣠⣿⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⣿⡀⠀⠊⡳⣤⣈⠙⠓⠲⠤⠤⠖⠛⠁⠀⠀⠀⠀⢘⡏⣾⠀⠀⣧⠀⠀⠀⠀⠀⠀
⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⡿⣿⣿⣷⣿⣿⣿⣿⣾⡳⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢶⣿⠿⠓⢋⠩⠉⢄⠠⢀⠄⣀⢀⠉⡉⠛⠓⠯⢿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠛⡉⢄⠂⠜⣀⠣⠉⡄⢊⠔⠨⡀⠎⠰⣀⠣⢌⡐⠠⢈⠙⠾⣟⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⣿⠟⡉⢐⡐⠰⠈⠌⢂⡐⠠⢃⠐⣈⠐⠡⠘⣀⠃⡄⠒⠠⠘⡐⠂⠌⡐⢈⠛⢿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⡿⠛⠠⡘⠠⠀⠇⡘⠸⢀⠠⠃⡜⢠⠀⠜⢃⠣⢀⠜⣀⠛⠄⢣⢀⠛⢠⠘⡀⠄⡀⠘⣿⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⠟⢀⠡⢂⠅⠡⠃⡌⠐⡁⢢⣀⣃⠐⢂⡉⢌⠂⣁⢊⠐⢂⣉⡌⢄⠢⠉⢄⠂⢅⠘⠠⢁⠘⢻⣳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⣿⠋⠄⢃⠘⡀⠎⡐⠡⢀⢃⣴⣿⣿⡿⠈⠤⠐⠤⠡⠄⢢⠈⠼⣿⣿⣦⡠⢉⠐⠌⢂⠌⢡⠂⠌⠄⢿⣽⣄⠀⠀⠀⠀⠀ ⠀⠀⢀⡾⣿⠣⡉⠄⠃⠌⡐⠐⣠⣡⣶⣿⣿⡿⠋⠠⡁⢆⠩⢐⠡⢘⠠⠌⠠⠙⢿⣿⣿⣦⣌⣄⠃⠌⠠⠉⢆⡈⠄⣻⡽⡆⠀⠀⠀⠀ ⠀⠀⣾⣹⠇⠠⡑⡈⠴⣿⣿⣿⣿⣿⠿⠟⢉⠠⠌⢂⠑⡠⢊⠐⠌⢂⠑⡨⠑⡈⠄⡈⠻⢿⣿⣿⣿⣿⣶⣅⢂⡐⠐⡈⢷⣻⡀⠀⠀⠀ ⠀⢠⣿⡟⠈⡅⢒⡀⠆⠹⢛⠋⡉⠄⢂⠌⢂⢂⡉⠤⢁⠰⡀⢎⡐⢡⠈⡄⡑⢈⠤⢁⠂⡄⠠⠉⢯⣿⣯⣿⣷⣆⠡⠈⠼⣿⣇⠀⠀⠀ ⠀⢸⡷⡇⡑⠌⡄⠢⢘⠠⠉⢄⢡⠌⢂⠘⠠⠂⠔⠢⢈⡐⢀⠂⡐⠠⠁⡔⠈⡄⠢⠌⡐⠠⠡⠈⣿⢿⡟⣻⣯⣿⣦⣅⣒⣿⣿⡀⠀⠀ ⠀⢸⣟⡇⢈⠖⠠⡑⢂⠢⢁⠂⠌⣿⣦⣌⣡⠘⢠⢁⣂⣴⣾⡶⣵⣷⣬⣀⣡⢈⡐⣐⣠⣵⣾⡓⢹⣯⠿⣔⠣⢞⣼⣻⣿⣿⣯⠽⢳⣦ ⠀⢸⣿⡇⠰⠎⡰⠀⢇⠰⠁⠎⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣿⣿⡆⢿⣷⠈⢰⢿⣿⣿⣿⣿⣆⣹ ⠀⢸⣷⡇⢂⠱⢀⠃⢢⠐⠡⢊⠄⠡⢈⠻⠿⣿⣯⡿⠟⢋⠐⡈⠔⠠⠙⠻⢷⣿⣽⠾⠟⠡⣨⣾⣿⣻⣿⠠⠹⣿⣦⣿⣿⠿⣿⣿⣿⣿ ⠀⠘⣯⣷⡀⠃⡌⢨⠐⡈⢅⠢⢈⠅⢢⠐⡠⠀⡔⢠⠈⡄⢊⠔⡉⢄⠃⡌⠠⡀⠄⣂⣼⡿⣻⣿⣿⣿⣟⣧⡱⣈⣿⣿⢻⣿⣿⣿⣯⢿ ⠀⠀⢹⣞⣧⠐⠨⠄⡑⢨⠀⠆⢡⠈⠔⡨⢐⠡⠐⡠⠁⠌⡐⠠⢂⠂⠌⠠⠑⢠⣸⡟⢡⢛⣿⣿⣿⣿⣿⣾⣟⠦⣿⣿⡼⣿⣿⣿⡿⣻ ⠀⠀⠀⠻⣞⣧⠁⡘⡐⢂⡁⠊⢄⠊⡰⠐⡈⢂⣡⣶⣥⣮⣤⣵⣤⣬⣦⣵⣬⣿⠛⣷⡌⢎⠜⣿⣿⣿⡿⣛⢿⣮⠽⣿⣻⡽⣯⣽⡾⣟ ⠀⠀⠀⠀⠻⣎⢷⢀⠰⠁⠤⡉⢄⠂⡁⢆⢁⠂⠹⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠠⠙⣿⡐⢮⢽⣿⡳⣉⠜⣬⣻⣧⣹⣳⢟⣵⣯⣟⡦ ⠀⠀⠀⠀⠀⠙⣮⡳⠂⡉⠔⡐⡈⠤⠡⢈⠤⢉⠰⠐⡠⢂⠔⡠⢂⠔⡠⢂⠔⡈⢆⠡⢹⣇⢼⣾⢿⠿⣧⣿⠿⣿⣿⣧⣿⣾⣿⣿⢯⣗ ⠀⠀⠀⠀⠀⠀⠈⠻⣷⣦⣌⠐⡈⠄⠣⠄⠂⢆⠨⠐⡁⠂⡔⠐⠂⡔⠠⠂⡔⢈⠄⢢⠀⠛⠛⣯⢋⠚⡠⢀⡆⡹⣿⣿⣮⣟⣾⣹⣯⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣬⣷⣴⠈⡄⠉⠒⢨⠀⠃⡔⢡⠀⢣⢡⡄⠃⢡⠐⢨⠐⢡⠈⠂⢹⣿⣧⣧⢹⢻⢱⠓⣦⢻⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢭⣳⡦⣥⣂⠂⡉⡐⠐⡈⠌⣀⠂⠔⡈⢂⠑⢂⠰⣀⣮⣴⣿⣏⡘⡙⠛⠿⠻⢿⢻⣿⣿⣿⣿⣿⣿⣧ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⢭⣟⣷⣶⡥⢶⡴⣤⢬⢦⡴⣥⣾⣶⣟⡯⠿⠛⣯⢷⠤⣩⢙⡶⣟⢦⣏⣿⣿⣿⣿⣿⢿⡽ ⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠘⣧⣶⡝⣛⢻⢛⡟⢻⣛⣿⣿⣿⣷⠋⢀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣻⣦⣋⣞⣼⣗⣞⣾⣿⣟⠁⣀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡶⠾⠿⠛⠛⠻⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⣀⣠⡴⠶⠗⠛⠶⣄⣀⠀⠀⠀⠀⠉⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⢀⣴⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⡤⠀⠀⠀⠘⢻⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⢠⣿⠋⠀⣀⣀⠀⠀⠀⠀⣤⣶⣤⡀⠀⢸⣇⠀⠀⠀⠀⠈⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⢠⡿⠑⠀⣼⣿⣏⣿⡄⠀⢰⣿⣧⡾⣷⡀⠘⣿⡄⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⣿⡅⠀⠀⢹⣿⣿⣿⣿⠀⠸⣿⣿⣿⣿⡇⠀⢸⣷⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢸⡇⠀⠀⠘⣧⠀⠀⠀⠹⠿⠿⢏⢀⡀⠙⠿⠿⠋⠀⠀⠘⣿⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠸⠃⠿⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠠⠄⢹⣧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⢿⠀⠀⠈⠓⠒⠶⠤⠴⠖⠚⠋⠁⠀⠀⠀⣾⠁⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠘⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⣴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣷⣄⠀⠀⠀⠙⠳⣤⣀⣀⣀⣀⣀⣀⣀⣠⠤⠶⠛⠀⠀⢀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢫⣿⣧⣄⠄⡀⠀⠀⠉⠙⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⢀⣾⠏⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠁⠙⠿⣷⣦⣄⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣦⣾⠟⠀⠀⠙⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⣀⣀⣠⡤⠤⠤⢤⣄⠀⠀⠀⠀⢤⠀⠀⠀⠀⠀⠀⠈⢻⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢀⡼⠋⠁⠀⠀⠀⠀⠀⠈⠛⠲⢤⡄⠈⣧⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠃⠄⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠹⡆⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀ ⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⢨⡇⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⢻⡄⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀ ⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠈⢷⠀⠀⠀⠀⠀⠀⠈⣿⣆⠀⠀⠀ ⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀ ⠀⣿⠀⡀⠀⠀⠀⠀⠀⠀⠀⣿⢠⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⢻⡆⠀⠀⠀⠀⠀⠈⣿⣇⠀⠀ ⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠻⣄⠀⠀⠀⠀⠀⢸⣿⡆⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⢿⣿⡀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠹⣆⠀⠀⠀⠀⠈⢿⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠚⢋⡡⠖⠶⠤⠤⢄⡀⠀⠀⠘⢦⡔⢢⣌⢳⢦⠀⠀⠀⠈⠓⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⣠⠖⠫⠀⠀⠀⢠⡤⣠⣈⠲⣄⡀⣠⠾⡦⡏⣿⣤⠱⣄⠀⠀⠀⠀⠱⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⢠⠊⢠⢇⠆⠀⣀⣶⣿⣷⣿⣿⣦⣤⣭⣀⣰⣿⣳⢹⡹⢰⢺⡆⠀⢀⣀⡀⠙⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣎⣤⣔⣁⠼⠼⠞⠋⣉⣉⣉⣩⣭⣭⣭⣍⠉⣉⣉⣛⠻⢿⣿⣿⣾⡉⠀⠀⢯⠀⢱⣄⠈⢧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠒⣋⣩⣥⣤⣀⠀⢸⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣶⣦⣍⠛⠷⣄⣀⣀⣱⣾⠛⢣⠘⡆ ⠀⠀⠀⠀⠀⠀⡠⠔⣊⣥⣴⣾⣿⣿⣿⣿⣿⣿⣧⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢰⣦⣨⠙⢻⣿⣏⣈⠀⡇ ⠀⠀⠀⡠⢔⣫⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡏⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣿⣷⣬⣙⡲⢇ ⠀⢠⢎⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣿⠀⠈⢿⣿⣿⡉⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦ ⢠⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢹⣿⠀⠀⠘⡆⠀⠀⠙⣿⣇⠈⢿⡈⢿⣿⣿⣿⣿⣿⣟⠛⠉⠙⠛⢿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⣿⠀⠀⠀⠙⠀⠀⠀⠈⣻⣦⠚⣳⡀⠻⣿⢿⡿⠄⠁⠀⢀⣴⣄⠃⠈⢿⣿⣿⣿ ⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠚⣡⠛⠉⠉⠙⢦⣹⣼⠋⠀⠀⠀⠈⣿⣿⡇⠀⢨⣿⣿⣿ ⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡒⠒⣲⠴⢦⣄⠀⠀⠀⠀⠀⠃⠀⠿⠇⠀⢀⠋⢹⡫⠀⠀⠀⠀⣿⣿⣧⠀⠀⣿⣿⣿ ⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡇⢰⠁⣷⡄⠹⡧⠀⠀⠀⠀⠠⣄⣀⣀⡠⢊⣶⢿⣇⡄⠀⠀⠀⢿⣿⣿⢀⣐⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⡟⢿⣿⡿⠁⠀⢹⠘⠀⠉⢀⣼⣧⠄⠀⠀⠀⠀⠀⠬⣿⠚⢿⣾⡋⢻⡿⠦⠀⠀⠀⠉⢁⣼⡿⠋⠁⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠀⢸⠁⠀⠀⠘⣇⢈⣩⡭⠀⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⡿⠤⣀⠠⠾⠋⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⢀⣽⣿⡿⠀⠀⠀⡴⠚⣉⣩⣿⣦⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠑⢄⠀⠠⠾⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣦⠀⠨⣇⢹⡀⠀⠀⠀⠹⣾⠭⢛⡾⠏⠀⠀⠀⠀⣠⠧⠄⠀⠀⠀⠀⠀⢸⠀⡴⠒⠓⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠔⠊⠉⠉⠑⣄⠙⢳⣬⢿⣋⠟⣦⡀⠀⠀⠈⠩⠕⠊⠀⠀⣠⣴⣾⣥⣀⡤⠤⢤⡀⡀⠴⣿⠟⠃⠀⠀⢸⠘ ⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠸⣦⠀⢹⣶⡿⣿⣷⣿⣷⣦⣤⣀⣀⣠⡴⠾⠛⣯⣀⡞⠋⠉⠑⠚⠉⠁⠀⠀⠀⢀⣀⣠⣼⣾ ⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⢠⠤⢀⡜⢣⣴⣏⣁⡀⠘⠁⠙⠿⢿⣟⣵⣋⣁⡉⠓⠒⢩⣞⠤⠄⠒⠋⣖⣀⡀⠀⣠⠖⢉⣤⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⣰⠻⣄⠀⠀⠈⠓⠋⠐⢋⠝⠉⠠⠋⠀⠀⠀⠀⢀⡼⠛⠀⠀⠸⠗⠒⣉⠀⠀⠀⠀⠀⠀⠀⠈⠉⢁⣰⣿⣿⣿⡿⠟ ⠀⠀⠀⠀⠀⠀⠹⡀⠈⠉⠉⠀⠀⣀⣠⠃⡴⠂⠂⠀⠀⠠⣤⠖⠉⠀⠀⠀⢠⠄⠰⣾⣿⡞⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⠟⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠒⠷⣀⡼⢣⠞⠀⠀⣴⡄⠀⠀⣿⡀⠀⠀⢠⣿⣯⡄⠀⠙⠋⠀⠀⢀⣀⣸⣿⣿⣿⠋⣹⡵⠃⠀⣀⣀⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣶⣴⣧⡗⣀⣼⡿⠁⠀⠀⠀⠉⠛⠁⠀⠀⣀⣀⣴⣶⣿⠿⠿⣿⠃⣴⣿⣥⣶⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠐⣨⣅⣀⣠⣀⠐⡻⣿⠟⣫⡿⠁⢀⣈⣏⣴⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠄⠐⠲⣶⣶⣶⡖⢲⣾⣿ ⣤⡶⡶⣲⢖⠺⡻⣭⣿⡿⠥⡀⠀⠀⠀⠠⢄⡀⠀⠘⡒⠀⠘⠛⠛⠀⣲⡞⠈⣿ ⡦⣙⠢⣝⠷⡥⣲⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠈⠑⠄⣁⣀⣀⣤⣶⣿⣿⠗⠀⣿ ⡄⡑⠱⣮⡙⣤⣿⣿⣿⡿⢦⡀⠀⠀⠀⠀⢀⠀⠄⡀⠈⠢⣿⣿⠛⠉⠀⢀⣼⣿ ⠋⣎⣦⣼⣾⣿⣿⣿⣿⣗⣰⠃⠀⠀⠀⠀⠚⠛⠲⣎⠠⡀⣿⣿⣷⣄⣠⣾⣿⣿ ⣿⣿⣿⣿⣿⢿⣿⣿⣿⣯⣁⠀⠀⠀⠀⠀⠰⣍⢢⠈⢳⡔⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢟⠯⣈⣴⣿⣿⣿⣿⣷⠄⠁⠀⠀⠀⠀⠠⠙⠀⠀⠀⠣⣿⣯⣿⡿⣿⣿⣿⣿ ⢌⣻⣶⣿⣿⡿⠛⢻⢿⣦⠀⠀⠀⠀⠀⠀⠀⣉⣀⣀⠄⠀⢹⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⡏⠐⢁⢄⠏⠁⠂⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡇ ⠟⠛⢭⣿⣇⢠⡈⡆⠀⠀⠀⠀⡠⢙⠶⠦⣀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠃ ⢀⣴⣿⣿⣿⣷⣿⣧⣄⡀⠀⢀⢁⠁⠀⠀⡠⡫⡌⠡⢢⠀⣠⣾⣿⣿⣿⣿⣿⢀ ⣾⣿⣿⣿⣿⣿⣿⣿⠟⡏⢉⢲⢜⣀⠀⠀⢣⠁⠆⠁⢉⣼⣿⣿⣿⣿⣿⣿⡟⠀ ⣿⣿⣿⣿⣿⣿⠟⠑⢄⡠⠁⠈⠑⢤⠉⢢⣏⣂⣥⣾⣿⡿⠛⣹⣿⣿⣟⣿⡇⠸ ⣿⣿⣿⣿⣿⡇⠂⣉⠴⣋⣯⣷⣿⣿⣿⣿⣿⠿⠛⢉⠔⠁⢠⣿⣿⣿⣿⣿⠇⢌ ⣿⣿⣿⢟⠊⣎⢎⣠⣾⣿⠿⠟⠟⠛⠙⡁⠀⠀⡠⠂⠀⢀⣾⣿⣿⣿⣿⣿⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡤⠤⠤⢶⣧⡀⢀⡈⠳⣄⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣑⣦⡀⠀⠙⢷⣄⡑⢤⡈⠀⠀⠙⠲⣴⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⢖⡫⠿⣛⡭⠷⠒⣊⣉⠥⠽⠯⠓⠶⣝⣦⣄⠙⢦⡀⠀⠀⠈⣿⡅⣿⠒⣒⢦⣤⢶⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠾⠗⠒⠒⠚⠶⠬⣄⣀⠐⠉⠀⠀⠀⠀⠀⢀⣀⣀⠬⠿⠷⠤⣌⣂⡀⣠⣿⣇⣿⣥⣤⣅⡙⢷⣽⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⣀⠀⠠⠜⠛⠉⢄⡀⠀⠀⠀⠀⠀⡸⢻⣿⣿⡟⣧⠀⠙⢯⣿⢮⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣤⣀⠀⠀⠉⠳⠄⠀⣠⠞⢡⠞⢹⣹⣿⡜⢷⣤⣼⣿⢈⢸⣦⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⣀⠀⠀⠀⣀⡴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⠀⣀⡴⠎⢁⡴⠋⠀⠀⣿⡟⣿⡌⠙⠶⢾⠁⣼⣿⣿⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⣠⠎⠁⢀⣠⠞⠁⣀⡤⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡁⠀⠈⠙⡄⠀⠀⠀⠹⣿⠙⣿⣦⣤⣶⣿⣿⣿⣿⣿⡿⠖⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⡴⠀⢀⡼⠁⠀⣰⠋⣀⠴⠋⠁⠀⠀⠀⠀⠀⠀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠘⣆⠀⠀⢰⠟⡆⣹⡿⠿⡀⣤⠾⠛⢿⣿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢏⡞⠁⢀⡎⠀⢀⡜⣡⠞⠁⠀⠀⠀⠀⠀⣠⣤⡄⢸⠉⠀⢳⡄⠀⠀⠀⢠⠀⠹⡄⠀⠘⣆⠀⠀⢸⡀⠀⣸⠀⡇⠇⢻⣤⡄⠋⢀⣠⠼⠏⠄⣴⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡾⠀⢀⠟⠀⢀⢾⡴⠁⠀⠀⣠⣤⠊⠐⠋⠁⢸⠀⠻⠀⠀⠈⢷⢧⡀⠀⠈⣦⠀⢻⡄⠀⠸⡆⠀⠀⡇⠀⡟⠀⡇⢸⠈⣯⡙⠒⠚⠁⢀⣴⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢿⠇⠀⡞⠀⠀⣻⠟⢀⠀⠀⢾⠟⠁⠀⠀⠀⣠⡇⠀⠀⡆⠀⠀⠈⡇⢸⡆⠀⠈⠃⠀⢧⠀⠀⢹⠀⠀⠀⠀⢃⠀⡇⠸⡇⠹⡷⣄⢀⣼⣿⣿⣿⣾⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⣾⠀⠼⠁⠀⣰⠋⢠⠇⠀⡰⠋⠀⠀⢀⣠⠞⠁⣧⠀⠀⡇⠀⠀⠀⢸⡎⢧⠀⠀⠀⠀⠸⡄⠀⠈⡇⠀⠀⠀⣾⢸⠁⠀⢳⠀⠘⡝⢿⣾⣋⣯⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⡾⡟⠀⠀⠀⢠⠃⢠⠇⢀⡜⠁⠀⠀⣠⠟⢁⡴⢺⣿⠀⠀⡇⠀⠀⠀⠠⢷⢸⡆⠀⠀⠀⡄⣷⠀⢠⢻⠀⠀⣀⡏⣸⠀⠀⠈⢇⠀⠈⠈⠻⣿⣬⣿⡏⣃ ⠀⠀⠀⠀⠀⠀⠐⠛⠉⢸⣇⠀⠀⠀⠏⠀⡞⢀⡞⠁⠀⢀⣞⣥⠖⠉⠀⠀⣿⡄⠀⢷⠀⠀⠀⠀⠘⡆⣇⠀⠀⠀⢱⢹⠀⠀⢸⠇⠀⢻⣣⠇⠀⠀⠀⠘⢧⠀⠀⠀⡽⠻⢿⡷⠭ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢸⠀⠀⠀⠀⢸⠃⡞⠁⠀⣰⣿⠋⠀⠀⠀⠀⠀⢻⣇⠀⢸⠀⠀⠀⠀⠀⢧⣿⠀⠀⠀⢸⠘⡇⠀⢸⠀⢀⣿⠉⠀⠀⠀⠀⠀⢈⣤⠀⣦⣇⠀⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣸⡄⠀⠀⣠⡟⣼⠁⢀⣾⠋⠁⢀⣀⡀⠀⠀⠀⠀⠹⡄⠈⣧⠀⠀⠀⠀⢹⣿⠄⠀⠀⢸⠈⠃⠀⡿⠀⡾⠁⣀⡄⠀⠀⢀⣴⠟⡞⣰⣿⠉⠀⠈⠀⠁ ⠐⢺⡟⠛⠛⠋⢻⠋⣽⣵⢻⠀⠀⣀⡟⢷⡏⢀⣾⠃⡀⣾⢡⠤⠉⣷⠀⠀⠀⠀⣿⡀⠙⠀⠀⠀⠀⠘⢿⠀⠀⠀⢸⠀⠀⠀⣿⡾⠁⢠⠋⣠⢀⣼⡿⢃⣼⣵⠛⢿⣀⣀⣀⠀⠠ ⠀⡜⠀⠀⠀⢀⡏⠐⡿⠁⢸⠀⠀⣯⡇⢸⡇⣼⡇⠀⠻⣿⣜⠓⠒⠋⠀⠀⠀⠀⠌⣧⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡜⠀⢠⡄⣿⡇⣰⠏⣴⢣⣿⡟⢁⣾⣿⠁⠀⠈⡟⠦⣤⡀⣠ ⠀⡇⠀⠀⠀⣾⠀⡼⠁⠀⣟⣠⠾⣿⣿⠈⣠⠏⠀⡴⠻⠿⢿⣽⣿⣷⣶⢶⣞⡉⠛⢻⡀⠀⠀⠀⠀⠀⠉⠀⠀⢰⡇⠀⣼⣇⣹⢿⢁⣼⣿⡿⢋⣴⣿⣻⡇⠀⠀⠀⡇⠀⠈⢧⠹ ⠀⠀⠀⠀⠀⣿⡼⠁⠀⣼⡿⠁⣴⡟⣿⡴⠋⣠⠞⠁⠀⠀⠀⠉⢻⣿⣄⡀⠈⠉⢓⣾⡇⢰⠇⠀⡀⠀⠀⠀⠀⠘⣷⠀⣿⡝⣾⣸⣿⠟⢋⣠⠞⠉⠈⡟⠀⠀⠀⢀⡇⠀⠀⢸⠀ ⢰⠀⠀⠀⠰⡿⠁⠀⣾⠏⢀⡜⠉⠀⣿⢁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠙⠳⠭⠭⠽⠿⠿⣷⣼⠀⢀⣿⠀⣿⡀⠀⠀⣿⣷⣿⡆⢨⣿⣵⠶⠋⠁⠀⠀⢰⠃⠀⠀⠀⡾⠀⠀⢀⣿⠀ ⢸⠀⠀⠀⡼⠁⠀⡰⠃⢀⡟⠀⠀⢸⠟⢿⡖⠲⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢿⠀⡼⠹⡄⡇⢳⡄⠀⣟⣨⣿⣷⡿⠁⠀⠀⠀⠀⠀⢰⠇⠀⠀⢀⣸⠁⠀⠀⢸⠿⠀ ⠐⠀⠀⣴⠃⠀⠘⠁⣠⢿⠀⠀⠀⢸⠀⣸⣧⢤⡀⠈⠙⠒⠂⠀⠀⠀⠀⠀⠀⣠⠞⠙⠛⢾⡿⠁⠀⠹⣿⣴⠿⣶⣏⣠⣾⡟⠁⠀⠀⠀⢠⠁⣠⠏⠀⠀⢀⣰⠃⠀⠀⠀⡜⠀⠀ ⠀⠀⢰⠃⠀⠀⠀⢠⠋⢸⠀⠀⠀⢸⠀⣿⢹⡄⢹⣖⠤⢤⣜⡲⢤⡀⠀⠀⣼⠃⠀⠀⠀⠈⠀⠀⠀⢀⡼⠟⠛⠛⠋⠉⣾⠇⠀⠀⠀⠀⠠⣸⠟⠀⠀⠀⢸⠃⠀⠀⠀⣠⠡⠁⠀ ⢀⢠⡏⠀⠀⠀⢠⠏⠀⢸⠀⠀⠀⢸⠀⡇⠀⣇⣀⣘⣷⣶⣄⡏⡷⠮⡄⢰⠇⠀⠀⠀⠀⠀⣀⣠⠞⠋⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⣰⠋⠀⠀⠀⢠⠃⠀⠀⢀ ⢸⡟⠀⠀⠀⣠⣏⣀⠤⢾⠚⠉⠉⣿⣿⡇⠀⣿⡿⣿⣿⣿⣝⠁⡇⠀⡴⠋⠀⣀⣠⠴⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣰⠋⠀⣠⡶⣶⠃⠀⠀⠀⢀⠇⠀⠀⠀⡜ ⣼⠁⠀⠀⢠⣿⠉⠀⠀⢸⠀⠀⠀⢻⠙⠃⠀⣿⡀⠀⠛⣿⢿⠀⣧⣾⣷⠛⠛⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⢀⡾⢃⣤⠞⠁⡴⠃⠀⠀⠀⢠⠏⠀⠀⠀⡰⠀ ⠃⠀⠀⠀⣾⡇⠀⠀⠀⢸⠀⠀⠀⢸⡁⠀⠀⢻⡇⠀⠀⢸⣿⣦⡇⢹⡏⢷⡄⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⣠⠟⠴⠋⠁⢀⡾⠁⠀⠀⠀⢠⠟⠀⠀⠀⢰⠃⠀ ⠀⠀⠀⣼⠏⡇⠀⠀⠀⢸⠀⠀⠀⠘⡇⠀⠀⠀⡇⠀⠀⠘⡟⠉⠁⠈⡇⠀⠙⢷⡄⠀⠈⠳⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⢀⣴⠋⠀⠀⠀⣠⡞⠀⠀⠀⠀⣰⠏⠀⠀⠀⣠⠇⠀⠀ ⠀⠀⢠⠏⠀⡇⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⢿⠀⠀⠀⢷⠀⠀⠀⢻⡀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⢏⣀⣀⣴⠟⠁⠀⠀⢀⣴⠏⠀⠀⠀⠀⡼⠋⠀⠀⠀⣰⠏⠀⠀⠀ ⠀⠀⡞⠀⠀⡇⠀⠀⠀⢸⠀⠀⠀⠀⣇⠀⠀⠀⢸⠀⠀⠀⢸⡄⠀⠀⢸⡇⠀⠀⠀⠘⣧⣀⢀⣠⡴⠞⠛⠋⠉⣡⡾⠃⠀⠀⠀⢠⠞⠁⠀⠀⠀⢠⡾⠁⠀⠀⠀⣴⠇⠀⠀⠀⡐ ⠀⠸⠃⠀⠀⡇⠀⠀⠀⢸⠀⠀⠀⠀⣿⠀⠀⠀⢸⡆⠀⠀⠈⣧⠀⠀⠸⣳⡀⠀⠀⠀⡄⠀⠈⣀⣀⣀⣀⣠⣾⣋⠀⠀⣀⣀⣴⠋⠀⠀⠀⣀⣴⠏⠀⢀⢀⣰⡾⠁⠀⠀⠀⠠⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣷⣶⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠉⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⣠⣿⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⣼⡟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢶⣦⣿⠃⠀⠀⠀⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢋⣤⠏⢠⠛⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⠟⣉⢰⡿⠁⣰⠇⢸⢹⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣈⣀⢰⠏⠀⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣦⠟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠿⠿⣿⣿⣿⣿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⠀⠀⠀⠰⣶⡖⠲⠦⠤⣿⣝⠲⣤⣄⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⡉⠛⣒⠲⠾⡟⠓⠒⠲⡾⢿⣿⢿⡦⣍⠻⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣟⢄⡈⠙⠢⠤⣀⣀⣀⣙⣦⣙⠻⢦⣌⡳⠄⣿⣮⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⡷⣝⡢⠄⢰⡚⠛⠓⠒⠤⠬⣿⡶⠬⡅⠘⢿⣷⠀⣻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣗⣤⣽⡦⠄⠙⢦⣀⠀⠀⠀⢻⠘⣆⢰⣒⣦⣤⣼⣍⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⣿⢯⣔⣒⣀⣈⠿⠒⣀⡤⠒⠋⠉⠁⠀⠀⠀⠉⣿⡘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠿⠷⢶⡞⠋⠉⢩⠤⠞⠁⠀⠀⠀⢀⣀⣤⠤⠲⣞⣿⣷⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣀⣀⣀⣠⠤⠤⠖⢒⣿⠿⠟⠛⠂⠀⢹⣿⣿⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣻⡠⠤⣤⣴⣦⡀⠉⠁⠴⣿⠟⠀⠀⠀⣿⠏⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣇⠀⠛⠛⠁⣇⣀⣤⡤⠤⠤⠤⢰⡾⠃⠀⠀⢀⣀⡈⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣤⡤⠖⣫⠵⢷⠚⠛⢻⠉⣹⠋⠀⣠⠔⢊⣁⡤⠤⠌⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⠚⠉⢱⠀⠸⡄⠀⣠⠟⠁⠴⣫⠔⠊⠁⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣇⠀⠀⠇⠀⣱⠞⠁⠀⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⣆⠀⢠⠞⠁⠀⡠⠊⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⠤⠔⠒⠚⠓⠒⠤⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠁⠈⡶⠃⢀⡴⠊⠀⠀⠀⠀⠀⣠⠴⠚⠉⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⠟⠀⢀⠞⠁⠐⠋⠀⠀⠀⠀⣠⢴⡎⠁⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⡇⠀⢠⣏⣠⠞⠀⠀⠀⢀⡴⠊⠁⠀⠳⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇ ⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠸⠈⠀⠀⢀⡤⠖⠉⠀⣠⠆⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⢀⡴⠋⢹⣆⣀⣠⣤⠒⠙⡇⣠⠔⠋⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⡞⠀⢀⠼⡇⢰⣾⣿⣷⡴⣟⠁⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⣇⡴⢁⡴⣇⣨⣼⣿⠋⠀⠈⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃ ⠀⠀⠀⠀⠀⠉⠀⠈⠀⠈⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠻⣿⣿⣿⡟⠛⠛⠛⠛⠋⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠿⠿⠛⠻⠿⠿⠟⠛⠛⠛⠛⠛ ⠿⠉⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢨⣿⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠁⠀⠆⠦⠦⠀⠀⠠⠰⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠀⠀⠀⢸⣿⣿⣾⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⡀⢸⣿⣿⠙⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⣤⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠐⠀⠀⠂⠀⣿⣿⢘⣿⣿⠇⠈⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠒⠐⠂⠀⠀⠀⠀⠀ ⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠖⢀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡟⢀⠀⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠅⢀⢄⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠈⠀⠀⠈⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠋⠁⣈⣽⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢻⣿⣦⡀⢀⡀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⠀⢀⣾⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⢹⣿⣧⣭⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⣿⣿⠋⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⢠⠀⠀⠀⠀⠀⠄⢹⣿⣿⡄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣇⠈⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠂⠀⠀⣈⣿⣿⣆⠑⠀⠀⠀⠀⠀⠀⠈⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣿⣿⣇⣀⣀⡀⠀⣀⣀⣤⣶⣾⣿⡿⠿⠿⠿⠿⠿⠿⠿⣿⢷⣶⣤⣄⣀⡀⠀⠀⠈⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢻⣿⣿⣿⣿⣿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣶⣤⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣤⣄⣀⣀⣠⣤⡆⠀⠀⠀⠀⠀⠀⣠⣤⣴⣦⣾⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⡛⠉⠛⠋⠉⠉⠉⢙⣿⣿⣋⣀⡀⠀⠀⠀⠀⠀⠀⠈⢠⣼⣿⣿⣯⠻⣿⣦⡀⠀⠀⢀⣠⣴⣿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣴⣶⣶⡶⠾⠿⠿⠿⠛⠿⠏⠀⠀⠀⠀⠀⠀⡄⠀⠈⠉⠉⠉⠀⠀⠙⢿⣿⣦⣴⣿⠿⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⣀⡀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠈⠀⡄⠀⠀⠀⠀⠀⠀⠈⢀⡀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣾⡿⠛⠛⠛⠛⠿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⡿⠋⠀⠁⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⢉⠻⣿⣦⠀⠀ ⠀⠀⠀⢀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⡀⠰⢀⠀⠀⠀⠀⠀⣿⣿⠀⠈⠀⢻⣿⡇⠀ ⠀⠀⠀⢸⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠀⢸⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⣿⡇⠀ ⠀⠀⠀⠈⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢀⣻⠃⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⠀⣽⣿⡄⠀⠀⢰⣿⠇⠀ ⠀⠀⠀⠀⠈⢿⣷⣦⣤⡀⠀⠀⠀⠀⣠⣾⡿⠁⢰⠃⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⠀⣹⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣄⢀⣾⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠛⠿⡷⠶⠶⢾⠿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⠿⠾⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡟⠀⣠⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠿⠛⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠏⠙⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡟⠁⠀⠀⠘⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡏⠀⠀⠀⠀⠀⠙⣿⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣿⣿⣧⡀⠀⠀⠀⠀⠀⠘⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⣽⡿⠀⠀⠀⠀⣠⣼⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⠋⠀⠀⣀⣴⣾⣿⠟⠁⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⢀⣴⣾⡿⠟⠋⠁⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡄⠀⠀⠀⠀⠀⠀⣸⣿⣾⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⣽⣷⣤⣤⣼⣯⣤⣤⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣤⣭⣿⣷⣦⣤⣤⣤⣤⣴⣿⣿⣥⣤⣤⣤⣤⣤⣴⣤⣤⣤⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡏⠃⠀⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⡟⠉⠉⠁⠀⠀⠀⢠⣿⣿⣿⣿⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠛⠉⣿⣿⣛⣋⠁⠀⠀⠀⠀⠀⠀⠀⢈⣩⣽⣿⣧⣈⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⢡⣀⠀⣠⡶⠛⠉⠉⠉⠙⠳⣤⡀⠀⠀⢠⡾⠋⠁⠀⠀⠀⠙⠳⣼⣧⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠀⠀⣸⣿⠏⢀⣀⣀⣀⣀⣀⣀⣈⣷⠀⢀⣛⣀⣀⣀⣤⣤⣤⣤⣤⣽⣙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⢀⡾⠃⣾⠉⠉⠉⠉⠉⠉⠉⣽⣿⣿⠆⠸⣏⣀⣀⣀⣀⣀⣀⣠⣿⣿⠇⠻⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⢠⠏⠀⠀⢿⡉⠉⠉⠉⠉⠉⠉⠉⠉⣹⠇⠀⢻⣄⠀⠀⠀⠀⠀⠀⢀⣼⠀⠀⠀⠀⠙⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣇⠀⠀⣸⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⢀⣶⠏⠀⠀⠀⠙⠳⣤⣀⣀⣤⡴⠟⠁⠀⠀⠀⠀⠀⠈⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠹⢦⡴⠋⠀⠀⠀⠀⠀⠈⠙⠓⠒⠒⠚⠋⠀⠀⠀⣀⣀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠉⠹⠄⠀⠀⢀⣾⠛⠛⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣠⣴⠆⠀⠀⣀⠸⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠇⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡀⣠⡶⠀⠙⣦⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⣧⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣯⣀⣀⣤⠟⣿⠀⠀⢸⡷⠤⢤⡤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣿⡟⠉⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⣾⣿⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⣹⠀⠀⠘⣧⡀⠀⠀⢸⡇⠓⠒⠴⣿⠠⢀⣀⣿⠀⣠⣿⠁⠀⠀⣿⣷⠀⠸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠀⢸ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡞⠉⠀⠀⠀⠀⢹⡆⠀⢸⡇⠀⠀⠀⢸⠀⠀⠈⢹⣶⡟⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⣿⣿⣿⣿⣷⣿ ⠿⠿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠉⠉⢷⣄⣀⣀⣀⣴⣿⠃⠀⢸⡇⠀⠀⠀⢸⠀⠀⠀⢸⡇⠻⣦⣤⣤⣤⣤⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⢠⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣭⣽⣿⣿⣟⠀⠀⢸⡇⠀⠀⠀⢸⠀⠀⠀⠸⣇⠀⣿⠀⣤⣀⠀⠀⣤⡄⠀⠀⢀⠀⠀⠀⣰⡀⣄⢀⣿⣿⣰⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡤⠀⠘⢋⣑⣶⣶⣿⣿⣿⣿⣷⣶⣤⣔⣄⠀⠀⠀⠀⠂⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⡊⠡⠤⠴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⠀⠰⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠈⠓⢦⣀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠉⠑⢦⡀⠈⠉⣟⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠉⠢⣄⠀⠉⢉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⢀⣄⡀⠀⠀⠀⠈⠑⢄⠀⠳⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡃⠀⢷⣤⡀⠉⠑⠒⠒⠤⣤⣀⡑⡄⠈⢿⣄⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⢻⣿⡟⣿⣿⣶⣶⣤⣤⣀⣉⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⢫⣿⣿⣿⣿⡇⠐⣾⣿⣽⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢤⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⡄⢈⣽⣿⣿⣿⣿⣿⣦⣌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⠀⠈⢧⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢸⡘⡄⠻⣽⣿⣿⣿⣿⣽⣶⣽⢝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⢿⣧⣽⣿⡇⢻⣿⢿⣧⠘⢦⡛⢿⣿⣿⣿⣿⣛⠛⢷⣦⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡄ ⠀⠀⠀⠀⠀⠹⢦⡀⠈⢿⣿⣿⣿⣿⣿⣿⣷⡸⢿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⡀⢹⢷⣄⠈⢳⣌⣻⣿⣿⣿⣷⠂⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⡻⢿⣿⣿⣿⣿⣿⣿⣶⡿⢿⣿⣯⣘⡄⠘⢧⠈⠙⠿⣦⣇⠙⢆⢀⣘⣶⣾⣟⣿⣿⣧⣤⣼⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⣉⠛⢿⣿⣿⡿⢿⣿⣇⠻⢿⣍⣧⣀⣈⣀⣴⣦⡈⢻⣶⢏⣿⣧⣴⡾⢿⡿⢿⣟⠛⠛⠿⣿⣿⣧⢿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢈⢿⣿⢸⣿⣽⣿⣧⠀⠚⠶⠾⠶⠶⠾⣿⣭⣉⣠⠈⢉⣹⣷⣶⣾⣿⣷⢬⣤⣠⣾⣿⣿⣎⣿⣿⣿⣿⣿⣿⣿⣋⣤⣤⣤⣤⣤⣀⣠⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣦⣭⣿⣿⢸⣿⣻⡿⠈⠙⠀⠀⠀⠀⠀⠀⠀⠙⠟⠀⣀⣿⣄⠛⠋⠉⠉⠉⠉⢻⣿⣿⣿⢍⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣧⢸⣷⠛⢹⡇⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠼⣿⡿⠟⠁⠀⣤⢦⡄⠀⢠⣿⣿⣿⣟⣯⣿⣿⡏⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⢻⣿⣿⣧⡻⢿⣯⣿⠀⠀⠀⠀⠀⠀⠹⢿⢶⡶⠶⣶⣶⡶⢒⣋⡽⣾⠁⠀⣼⣿⣿⡟⣿⣧⣼⠟⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢓⣿⣦⣀⣹⡄⠀⠀⠀⠀⠀⠀⠈⠳⠷⠶⠶⠤⠴⠾⠋⣰⠟⠀⣼⣿⣿⡏⣽⣛⠳⠋⣰⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⡀⠀⠀⠀⠀⣠⣿⣿⡟⣽⢋⣽⣿⣿⣿⡿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠛⠉⠛⠛⠛⠛⢻⠻⣄⠀⠀⠀⠀⠀⠀⠋⠀⠙⢻⣿⡆⠀⠀⣠⣾⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢏⠷⣄⠀⠀⠀⠀⠀⠀⠀⠈⠹⠇⠀⢀⣾⣿⣿⣿⣿⡟⠛⠛⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠶⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠸⣆⠘⢳⣄⡀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⢿⣿⣇⠀⠻⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠹⡄⠀⠙⠿⢤⣄⣀⣴⣾⣿⣿⣿⣿⠛⡻⠃⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣀⣀⣀⣹⡄⠀⠀⠀⠀⠉⠛⢋⣹⣿⣿⣛⣾⣥⣶⣿⣿⣿⣄⠀⠀⢀⣐⣆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣤⣀⡀⠀⣠⠞⠁⣈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠻⣦⣄⠀⠀⢀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣴⣿⣿⣿⣿⣿⣿⣿⠴⠿⠛⠛⣏⠛⣿⣿⣿⡟⣿⣿⣿⣿⣿⡟⠁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠠⣝⣿⣷⣶⡆⣧⣀⣀⣀⣠⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⠖⠀⢵⣿⣿⣿⣿⡿⠛⠋⠁⠀⣠⣤⣾⣿⣦⡀⢽⣿⣿⣿⣿⣿⣿⢏⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣹⣿⣿⣿⣿⣱⡿⢛⣿⣿⣿⡇ ⠀⠀⠀⠠⠀⣠⢟⣡⣿⣿⣃⣺⣿⣿⣿⣿⡇⢀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣠⣽⣿⣿⣿⣿⣧⡿⣣⣿⣿⣿⣿⡇ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣀⣐⣾⣆⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠤⠤⡿⢶⣿⣓⣆⣀⣠⣴⣤⣤⣀⡬⣶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠓⠓⣟⠉⢻⠛⣿⠚⢳⢿⣿⣿⣿⣧⣼⣭⢿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡡⢾⡁⢱⣏⣴⠒⠒⢂⡲⣿⣷⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠊⠉⠉⠀⠁⠀⣧⠀⠀⢿⡀⠀⠀⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡤⢤⡶⠒⠒⠒⠢⡄⠀⠀⠀⡠⠊⠀⣴⣷⡆⠀⠀⠀⠀⣿⣆⡠⢬⣛⣛⣛⣟⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡤⠔⠒⠛⠒⠺⡅⠀⠀⠀⠀⠈⢢⣠⢾⡁⠀⠀⠈⠉⠀⠀⠀⣀⣴⣿⢯⣀⡤⡇⢀⣀⡠⠼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠖⢻⣤⣤⠤⠤⡔⠤⣰⠀⠀⠀⠀⠀⢉⡤⢊⣭⡿⠟⣻⣿⠋⠉⠛⠻⢿⡟⡼⢻⡀⠸⡉⠀⢳⡀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⢋⣹⣿⣯⣍⠑⣄⠘⣄⣀⠤⢒⣊⣥⣴⠻⠁⠀⠀⠙⣿⣶⣄⡀⠀⢀⠇⣿⣾⣷⠀⢱⡤⠔⠓⣈⣭⣭⣿⣷⣦⠀⠀⠀⠀⠀ ⢠⠎⠙⠛⠿⣿⣿⣷⣌⣶⣾⡗⠊⠁⠈⢙⢛⣶⣀⠀⠀⣠⣿⣿⣻⣿⣽⣿⢰⣧⣼⣻⣧⣀⣷⣾⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀ ⠘⣦⣀⠀⠀⢠⠋⠙⢻⣽⡿⣄⣀⣻⡞⣿⣯⣤⣛⠿⣿⣿⣿⣿⣿⠟⢁⡇⣼⣾⣿⣿⣿⣧⠘⣿⠟⠛⠙⠛⠻⣿⣿⣿⣿⣿⡄⠀ ⢸⣿⠉⠉⠒⠼⣃⠰⡁⠈⠓⣿⣟⣿⡿⠋⠙⣿⠯⠄⡀⠙⣼⡿⠋⣠⣾⢀⣿⣿⣿⣿⣿⣿⣧⢘⣤⣖⡾⣷⣶⣄⢻⣿⣿⣿⣿⡆ ⢸⣿⡦⣄⡀⠀⣴⠉⠉⢑⡄⠈⠧⣌⠀⠀⠀⢚⡇⠀⡸⠀⡟⣁⣼⣿⡏⢸⣿⣿⣿⣿⣿⡿⠘⡝⠄⢹⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿ ⠘⣿⣧⠹⣿⣷⣯⣃⢠⡀⠈⠢⠤⠀⠀⠀⠀⠀⠉⣯⡒⠚⢲⣿⡿⠉⢡⡎⠙⢀⣿⣿⣿⡇⢠⣷⣷⠐⣾⣿⡿⣿⣿⣿⣿⣿⣿⣿ ⠀⢹⣿⣷⣈⠙⠛⢻⣿⣿⣿⣷⣶⡒⠤⠤⢤⣤⣤⣧⣤⣾⣦⣛⠶⢤⣽⣿⣿⣿⡼⢻⣿⣿⢩⡹⣿⣦⣿⣿⡟⢿⣯⢿⣿⣿⣿⣿ ⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠉⠉⠉⠙⠒⠛⠓⠒⠿⠯⠴⠛⠛⠛⠛⠉⠀⠘⣿⣿⣧⠐⢌⣙⣟⣅⣴⡿⠃⣼⣿⣿⣿⡿ ⠀⠀⠀⠀⠉⠛⠛⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣤⣉⠉⠁⢀⣠⣾⣿⣿⣿⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⢿⡿⠿⠟⠋⠁⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣡⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⢻⣿⣤⣿⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣽⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⢿⣿⣧⡼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢸⡀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⡇⣘⣷⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠁⠀⠀⠈⣇⠀⠀⠈⢿⣿⣿⣿⣿⢿⣿⣿⣷⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢶⣶⡶⢶⣿⣶⣤⣄⠈⢿⣿⡿⢿⣿⣿⣿⣿⣿⠟⠁⠀⠀⢿⣽⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡝⠛⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠈⠉⠑⠈⠻⠟⣧⠛⠃⠀⠙⠀⠀⠉⢻⣿⣿⣻⣤⣤⣤⣄⡈⠛⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠁⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢷⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠸⣿⠁⠋⠈⠿⢿⣏⣻⣿⣶⡘⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⣿⣿⣿⡿⢻⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠈⠙⠏⠀⠹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠋⢛⡘⢿⣿⣿⡇⠀⡛⢧⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡏⠉⠀⠀⠀⠀⠀⠀⠛⣿⣿⡀⠉⠒⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢀⣤⣄⡀⠀⢠⡤⠀⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠳⣤⣀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠾⣍⠙⠳⣼⣿⡟⣢⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠋⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠏⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠐⣾⠃⣼⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⣴⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠤⠴⠿⠯⠽⠿⢿⣯⣍⣽⡷⣄⡀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⠋⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢒⢦⡀⠀⠀⠐⢈⣹⣿⠿⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⣿⣿⡏⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠲⠀⠀⠀⠖⠃⠀⠀⠀⢀⣤⣾⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠗⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⡆⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠶⠀⢀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⣇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠴⢶⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢻⡄⠀⠀⠀⠙⠻⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀ ⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣷⠀⠀⠀⠀⠀⠀⠉⠛⠻⣷⣶⣶⣶⣶⣶⣿⣿⣿⢿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⢿⣿⣿⡿⢩⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣼⣿⡟⠁⠀⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠘⠹⠿⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
If you'd like to report a bug or suggest a feature, you can provide feedback here. Here's our privacy policy. Thanks!
AI Story Generator - AI Chat - AI Image Generator Free