⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⠀⢀⠀⠈⠀⠂⠀⡀⠀⠀⡀⠀⠂⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠐⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠂⠀⠀⠠⠀⠀⠀⠀⠀⠀⠈⠀⠠⢈⠀⠄⠠⠀⠂⠀⠂⢀⠀⠊⠀⠀⠠⠀⠀⠀⠐⠀⠄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀
⠀⠀⠀⠠⠲⠆⠀⠤⡠⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠀⠂⠀⠙⡄⠀⠐⡄⠌⢀⠊⠀⠉⢊⠂⠦⣀⠀⣊⠀⡀⠁⢀⠁⠀⠀⠀⠁⡀⠀⠀⠀⢠⡢⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠑⠑⣆⢙⠠⡄⠀⠀⠀⢀⡡⠂⣁⠘⠀⣡⣂⠄⠁⣄⠈⠤⣨⡰⠁⠲⢦⠂⠠⠀⡁⢍⣄⡠⠸⣂⠶⡦⡼⡤⣰⣀⠀⢂⡀⠀⠀⠰⢛⡏⠀⠀⠐⠀⠀
⠀⠀⠀⢰⠀⠀⠈⡅⡪⣤⠀⠀⠕⣋⢡⣻⣧⡬⡖⠀⠈⢹⡖⠂⣢⣷⡶⠚⢱⣯⢨⠎⣦⠂⠂⡀⠠⣂⠹⣒⠅⢩⡄⣈⠜⣈⢯⣙⡍⣂⢠⡀⢀⣘⠆⡀⠀⠀⠀⠀
⢲⣄⢠⠘⠂⢰⢁⣘⠵⡀⠓⢐⢤⣽⣯⢟⣹⠞⠄⠸⣤⣜⣱⣬⣩⣯⢓⠼⡙⡯⠸⡜⣽⢠⠦⢐⣜⠮⢮⣍⣾⢃⡀⡀⢟⠴⣽⢽⡃⠑⢀⠉⠈⠹⣕⠁⠀⠀⡀⠀
⠀⢮⢿⠤⠤⢿⢯⡻⣦⠐⠰⣞⡞⣆⣯⣯⣻⣧⡆⢈⡾⣷⡤⢴⡌⣷⣮⠙⣯⢺⢣⣜⣻⣟⣷⠔⠉⣻⢾⠿⣝⣿⣺⡯⣻⡣⣟⡝⣯⡄⡓⠠⠀⢈⡿⣦⢄⣀⡬⠀
⢪⠺⡽⡆⡀⢼⡀⣽⢿⡷⣗⢺⣝⡝⢾⣮⣞⣷⢹⣮⣷⢻⣗⣾⡕⣌⣿⣿⣿⡷⡤⢀⡎⣿⣿⣆⢲⡖⠄⡙⣿⣕⢿⣖⣿⣣⢟⣿⣥⣻⡷⢦⡠⠘⡣⣟⠷⣸⣧⢀