⠀⠀⣾⠿⢷⣄⣀⣠⠤⣤⠢⣤⣾⠏⣤⢹⡇
⠀⣼⣿⢸⣶⡝⣿⣿⣷⡘⣧⣸⣿⣾⣿⢸⡧
⢀⣽⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦
⢸⣿⣿⣿⣿⣿⣿⡿⠛⢻⣿⣿⣿⣿⠁⠈⣿⣿⠷⡄
⢸⣿⣟⠻⠿⣿⣿⣧⣀⣠⣿⣿⣿⣿⣶⣾⣿⣥⡾⡇
⢸⣿⠿⠿⢶⣾⣿⣿⣿⣿⣿⣿⠟⢻⡿⢻⣿⣿⠶⡇
⢸⣿⣶⣶⣶⠾⣿⣿⣿⣦⣍⣥⣾⣷⣶⣿⣿⣿⣷⠆
⢸⣿⣿⣋⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀ ⣠⣶⡿⠿⠿⠷⢦⡀⠀⢀⡴⠾⠿⠿⢿⣶⣄⠀
⣼⡿⠁⢀⣤⣶⣦⣤⡙⠤⢋⣤⣴⣶⣦⡄⠈⢿⣧
⣿⡇⢀⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡀⢸⣿
⢹⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⡏
⠀⠻⣆⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣰⠟⠀
⠀⠀⠈⠳⣄⠙⢿⣿⣿⣿⣿⣿⡿⠛⣡⠞⠁⠀⠀
⠀⠀⠀⠀⠈⠻⣦⡙⢿⣿⣿⠋⣠⠞⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠻⣆⠛⣡⠞⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠃

⠀⠀⢸⡏⠲⢄⡀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⢸⣧⣶⣦⣝⣋⣉⣁⡀⢀⣈⠉⠑⠒⠒⠊⠉⣉⢹
⠀⠀⠘⣿⣏⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣰⡟⡆
⠀⠀⢀⣿⣿⣿⣿⣿⡿⣿⣿⣿⣟⢻⣿⣿⣯⣥⣿⡟⠀⠀⢹⣿⡁
⠀⠀⣾⣿⣿⣿⢋⡟⠁⣿⢻⠏⠀⠘⣿⣿⣿⣿⣿⡇⠀⠀⠀⠻⣷⣄
⢀⡼⢿⣿⣿⠟⣾⣿⡤⠃⠀⠐⢷⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⣿⡄
⠈⠀⢸⣿⣿⠀⠺⠿⠃⠀⠀⠀⠸⠿⠟⣿⣿⣿⣿⠻⠀⠀⠀⠀⠀⣿⠇
⠀⠀⠀⠻⢧⣀⣀⡀⠀⣠⣄⠀⠀⠀⣰⣿⣿⡟⠋⠱⣄⣀⠀⢀⣾⠟
⠀⠀⠀⢠⠞⠉⠀⠀⠀⠀⠈⠑⢶⡞⠻⠉⢋⣀⣤⣿⣷⣌⠓⡟⠁
⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠧⡏
⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣴⡎⡛⡿⠋⠁⢈⡿⢿⡿⠟⢁⡜⠉⡆
⠀⠀⠉⣆⠀⠀⠀⠀⠀⠀⠷⠞⠋⠁⠀⠀⢙⡦⣄⣀⡠⠊⠀⢀⠇
⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⠋⡠⠋⠀⠀⠀⢀⡞⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠶⠒⠒⠒⠒⠲⠶⣤⡴⠚⠛⠶⣄⠀⠀⠀
⠀⠀⠀⣀⣀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⢠⡖⠲⡀⢹⠀
⠀⢠⡞⠁⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠀⣸⠃
⠀⠸⣆⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⠀ ♥
⠀⠀⠙⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀
⠀⠀⠀⡇⠀⢀⣀⠀⠀⢀⡀⠀⠸⣿⣷⠀⠀⠀⠀⠀⠀⠀⢸⠇
⠀⠀⠀⣿⠀⠐⢛⠓⢠⣸⣆⡤⠀⠈⡅⠀⠈⠢⠀⢀⠀⠀⣾⠀⠀⠀
⠀⠀⠀⣷⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠣⠀⡀⠄⣸⡉⠳⡚⣧⠀⠀⠀
⠀⠀⠀⠈⠳⣦⠾⢛⢦⡀⠀⠀⠀⠀⠀⠀⢠⡞⠉⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡏⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢷⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠓⢺⣯⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠶⠒⠒⠒⠒⠲⠶⣤⡴⠚⠛⠶⣄⠀⠀⠀
⠀⠀⠀⣀⣀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⢠⡖⠲⡀⢹⠀
⠀⢠⡞⠁⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠀⣸⠃
⠀⠸⣆⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⠀ ♥
⠀⠀⠙⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀
⠀⠀⠀⡇⠀⢀⣀⠀⠀⢀⡀⠀⠸⣿⣷⠀⠀⠀⠀⠀⠀⠀⢸⠇
⠀⠀⠀⣿⠀⠐⢛⠓⢠⣸⣆⡤⠀⠈⡅⠀⠈⠢⠀⢀⠀⠀⣾⠀⠀⠀
⠀⠀⠀⣷⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠣⠀⡀⠄⣸⡉⠳⡚⣧⠀⠀⠀
⠀⠀⠀⠈⠳⣦⠾⢛⢦⡀⠀⠀⠀⠀⠀⠀⢠⡞⠉⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡏⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢷⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠓⢺⣯⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠶⠒⠒⠒⠒⠲⠶⣤⡴⠚⠛⠶⣄⠀⠀⠀
⠀⠀⠀⣀⣀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⢠⡖⠲⡀⢹⠀
⠀⢠⡞⠁⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠀⣸⠃
⠀⠸⣆⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⠀ ♥
⠀⠀⠙⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀
⠀⠀⠀⡇⠀⢀⣀⠀⠀⢀⡀⠀⠸⣿⣷⠀⠀⠀⠀⠀⠀⠀⢸⠇
⠀⠀⠀⣿⠀⠐⢛⠓⢠⣸⣆⡤⠀⠈⡅⠀⠈⠢⠀⢀⠀⠀⣾⠀⠀⠀
⠀⠀⠀⣷⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠣⠀⡀⠄⣸⡉⠳⡚⣧⠀⠀⠀
⠀⠀⠀⠈⠳⣦⠾⢛⢦⡀⠀⠀⠀⠀⠀⠀⢠⡞⠉⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡏⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢷⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠓⢺⣯⠀⠀