⠀⠀⠀⠀⠀⣀⣤⣶⡶⠾⠿⠿⣶⣶⣤⣀⠀⠀⠀⠀⠀
⠀⠀⢀⣴⠾⠋⠁⠘⣷⡄⣀⣀⣿⡇⠈⠙⢻⣦⡀⠀⠀
⠀⣠⡿⠛⠷⣦⠰⣿⠋⣁⣿⣉⠉⣱⢦⣄⡾⠋⢻⣆⠀
⢰⡟⠀⠀⣼⣏⣠⡿⣿⡋⣿⠙⣿⢿⣄⣉⣥⡀⠀⢻⡆
⣿⠷⠶⣶⠈⣹⡿⣦⣜⣷⣿⣼⣫⣴⢿⣏⠙⣷⡾⠛⣿
⣿⠀⠀⠿⠶⣿⠶⠶⢿⣿⣿⣿⡿⠶⠶⣿⠶⣶⠀⠀⣿
⣿⣠⣴⢿⡄⣹⣷⠾⢻⡿⣿⢿⡟⠷⣶⣟⠀⣿⣤⣤⣿
⠸⣯⠀⠈⠟⡋⠙⢷⣿⣁⣿⣈⣿⣾⠋⢹⡿⠀⠀⣸⡏
⠀⠹⣧⣀⣾⠛⠷⡟⣉⣉⣿⠉⣉⣿⡆⠻⢷⣄⣴⠏⠀
⠀⠀⠈⠻⣧⣀⠀⠀⣿⠉⠉⠘⢿⡁⠀⣀⣴⠟⠁⠀⠀
⠀⠀⠀⠀⠈⠙⠻⠶⣿⣤⣤⣤⣼⠿⠟⠋⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣠⣴⠾⠟⠛⠛⠙⠛⠻⠷⣦⣄⡀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣴⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣦⡀⠀⠀⠀
⠀⠀⣰⡿⠃⠘⣿⡙⠷⣦⣀⠀⠀⢀⣴⠿⢋⣿⠃⠘⢿⣆⠀⠀
⠀⣰⡿⠁⠀⠀⢹⣇⠀⠈⢙⣷⣾⡛⠁⠀⣼⠏⠀⠀⠈⢿⣇⠀
⠀⣿⠃⠀⠀⠀⠀⢿⣄⣴⠟⠉⠈⠻⢶⣴⡟⠀⠀⠀⠀⠘⣿⡄
⢸⡟⠀⠀⠀⠀⣠⡾⣯⠁⠀⠀⠀⠀⠀⣿⠿⣦⣀⠀⠀⠀⢿⡇
⠸⣇⠀⣀⣴⠟⠉⠀⢻⡆⠀⠀⠀⠀⣼⠇⠀⠈⠻⢷⣤⡀⣸⡇
⠀⣿⡾⠿⠷⠶⠶⠶⠾⣿⠶⠶⠶⢶⡿⠶⠶⠶⠶⠶⠿⣿⣿⠀
⠀⠘⣿⡄⠀⠀⠀⠀⠀⠸⣇⠀⠀⣾⠃⠀⠀⠀⠀⠀⢠⣿⠃⠀
⠀⠀⠘⢿⣤⡀⠀⠀⠀⠀⢻⡄⢰⡟⠀⠀⠀⠀⠀⣤⡿⠃⠀⠀
⠀⠀⠀⠀⠙⢷⣦⣄⠀⠀⠘⣷⣿⠃⠀⠀⣠⣴⡾⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠙⠻⠷⠶⣿⣿⠶⠿⠟⠋