⠀⡠⣄⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣰⠁⠀⠀⠈⠑⢷⡴⠅⠑⠉⠑⠒⠃⠈⠑⠤⠤⠶⠶⠶⣤⣄⠀⠀⠀⠀⠀⠀
⡇⠙⣄⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀
⠅⠀⢈⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢻⠀⠀⠀⠀⠀
⡇⠠⡮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠀⡸⠀⠀⠀⠀⠀
⠻⢸⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣶⠃⠀⠀⠀⠀⠀
⠀⡧⠀⠀⢿⣿⠿⠀⠀⠀⠀⠀⠀⣠⣶⣆⠀⠀⠀⠀⠀⠀⠹⠀⣐⡦⢤⣄⠀
⠀⡗⠀⠀⠀⠈⠁⠀⠒⠂⠀⠀⠘⠾⣿⣫⠀⠀⠀⠀⠀⠀⣜⣿⠁⠀⠀⢹⡇
⠀⠻⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⣷⡁⠀⠀⠀⢘⡇
⠀⠀⠈⠛⢦⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠽⣷⣄⣴⡿⣿
⠀⠀⠀⠀⢠⣾⠙⠙⠓⠲⠲⠤⠤⠤⡤⡤⡴⠪⠟⠂⠀⠀⠀⠀⠈⢿⡤⡲⠁
⠀⠀⠀⠀⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⠀⠀
⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀
⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠀⠀
⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣤⠀⠀⠀⡸⠀⠀
⠀⠀⠀⠀⠀⢯⡀⠀⠀⠀⣔⡶⠶⠶⢶⡀⠀⠀⠀⢺⡿⡉⠨⣿⡭⠛⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠓⠪⠭⠭⠏⠀⠀⠀⠈⠷⠶⠶⠶⠋⠁⠀⠀⠈⠀⠀⠀⠀⠀