⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠶⠶⠶⠶⠶⢶⣶⣶⣶⣶⣶⣶⣶⠶⠦⢤⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⡞⠉⠀⠀⢀⠤⢐⣊⠭⠄⠀⠒⠐⠢⠤⠬⠍⡉⢉⠩⠭⠭⠭⠭⡛⠶⣤⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⠏⠀⢀⠤⢊⠴⡪⠕⠂⠈⠉⠉⠈⠙⡀⠀⠀⠀⠀⢖⠒⠂⠉⠒⠤⡀⠀⠀⠙⣦⠀⠀⠀
⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠁⠊⣀⣤⣴⣶⣶⠶⣤⣀⠁⠀⠀⠀⠀⠎⠀⣀⣀⣀⡀⠘⠀⠀⠀⢿⡄⠀⠀
⠀⢀⣴⡿⠟⠒⣦⣀⣀⠒⠆⠺⠿⠿⢻⠛⠻⣶⣤⣙⡷⠀⠀⢠⣤⣶⣿⡿⠿⠿⠿⠃⠒⠒⢢⠤⡙⢶⡀
⢀⡿⢹⠁⣴⠟⠉⣹⡙⠛⠶⠦⢤⢶⡏⠐⢀⠇⠀⠉⠀⠀⠀⠀⠈⣿⠀⠀⠀⣀⣀⣠⡶⡶⢶⡝⡌⢾⡇
⠘⡇⢠⠐⣏⢠⣴⣿⠛⠶⣤⣀⡀⣸⠃⠄⣼⠴⣴⠶⠆⠀⠀⠀⠀⠙⢳⣦⡀⠈⠉⠉⢰⣇⠀⠠⠃⣾⡇
⠈⢿⡌⢆⡻⠀⠀⡿⠦⣄⠈⢹⡟⡏⠀⢠⣧⣀⣻⡆⠛⠛⠃⠠⣄⣤⠞⠋⠉⠑⢂⣠⣾⣿⡆⠐⢪⡿⠁
⠀⠀⠹⣶⡂⠀⢰⠁⣀⣪⠟⢿⣍⠀⠀⢸⡈⣿⠙⠛⠳⠶⣶⠶⠿⣧⣦⠴⠶⣾⠛⢹⡙⣿⡇⠀⣾⠁⠀
⠀⠀⠀⠈⢿⣄⡞⢸⡎⠁⠀⢺⠘⠀⠀⠈⠻⠿⣶⣤⣤⣤⣿⣤⣤⣼⣧⣤⣤⣾⣶⣾⣿⣿⡇⠀⣿⠀⠀
⠀⠀⠀⠀⠀⢻⡤⣿⢀⠀⠀⣿⠀⠀⠀⠀⠀⡄⠘⡍⠙⣿⠻⠿⠿⣿⡿⢿⣿⡿⣿⢿⣿⣿⠁⠀⣿⠀⠀
⠀⠀⠀⠀⠀⠈⢻⣣⠂⠀⠀⡏⡄⠀⢀⡇⠀⡇⠀⠙⣄⣿⡀⠀⢀⣟⠀⣰⣏⣰⣯⣬⠿⠃⠀⠀⣿⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠰⠃⠄⠀⢸⠀⠀⢹⠀⠀⠻⡉⠉⠉⠉⠉⠉⠉⠉⠉⠀⣀⠔⠀⢠⠀⢻⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠤⠆⣐⣂⣒⡒⢂⢂⠈⣁⡠⠔⠁⠀⣸⠃⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⣜⠰⠀⠀⠀⠁⠀⠀⠀⢀⣸⣥⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⣀⠐⠠⢀⢠⡴⠋⠀⠀⠉⠉⠛⠛⠲⠶⠶⠶⠶⠶⠲⠚⠋⠁⠀⠀⠀