⠸⠀⣧⠀⠀⠀⢀⢀⠠⠠⡠⡠⡢⣊⢢⠀⢀⡽⠃⠀⠈⠳⣖⢔⢄⠢⣆⡀⠀⠈
⢹⠀⠹⣎⠢⢊⠢⡺⣦⠀⡪⡪⡪⡪⡢⠚⡭⣺⠀⠀⠀⢀⠌⠳⣕⢕⠞⡮⡢⠸
⢹⠀⠀⠙⣆⠌⠌⠪⡺⣷⡨⡪⡪⡪⡪⡪⡷⡹⣠⣴⣶⣾⣶⣶⣾⣷⣃⡯⡪⡂
⢨⡏⠉⠉⠙⠢⡢⡪⡪⣺⢹⡪⡪⡪⡪⡪⠋⣰⠟⢉⣤⢶⢶⢤⡉⠙⢿⣯⠪⡪
⢢⢻⡄⡠⠀⠀⠈⠪⠪⠺⠀⠫⠪⠊⠊⠀⠀⡟⠀⡟⠑⢷⠳⣗⣺⣆⠈⢿⡎⡪
⢢⢊⣠⣷⡿⠿⠿⢿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠃⠀⡷⢴⣋⡀⢠⠞⢸⠀⢸⢿⡪
⢢⣾⠟⠁⣠⢶⢶⢶⣄⠙⠄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠙⠚⠀⢸⢀⠏⡨⡻
⣾⡏⠀⢰⠋⠳⣷⠳⣞⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠶⠶⠾⠻⡩⡪⡪⡪
⢿⡄⠀⢸⡦⣾⣋⡀⢠⠞⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠊⠊⠀
⢄⠻⠄⠀⠳⣧⡀⠈⠚⠀⣸⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⡻⣄⠀⠠⣀⣙⣲⣶⠞⠁⠀⠀⠀⠀⠀⠀⡇⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⣠
⢪⢮⠮⠷⠄⡨⡠⡡⡢⠄⠀⠀⠀⠀⠀⠀⠀⣇⠀⣀⣼⠀⠀⠀⠀⠀⠀⢀⣾⠟
⢢⢊⢷⡠⡪⡪⡪⡪⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⣀⣴⠿⠷⣦
⢢⢊⢪⢿⣮⣌⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⢟⢍⢔⢕⢕⢜