⢣⠑⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡄⢣ ⡅⢊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡈⢆ ⡘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢌ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⠀⢸⠀⢀⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢌ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⢀⢰⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⡇⠐⠶⡄⣴⠆⢀⡔⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠰ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡁⣰⡿⣦⣄⣀⣠⣴⠿⣿⡄⣤⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⣠⢂⣢⣔⣀⡥⢿⡅⡿⡻⣿⡔⣱⠂⠛⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⢀⠌⡡⢟⡋⠁⠀⠀⠀⠑⣞⢧⣉⣅⣛⠣⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⣿⡹⣽⣷⣄⣀⠀⠀⠀⣀⣘⢤⡛⣿⣿⣵⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣛⣿⡿⣟⡍⡹⢆⠀⠰⠛⣫⣻⠛⣿⣲⣟⣣⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⢻⠀⠁⠁⠀⠀⠁⠀⠉⠀⣸⣽⣿⡽⠁⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⣸⣿⡇⠀⠀⠐⠀⠂⠀⠀⢀⣾⣿⡿⣥⠀⠀⣄⠀⣀⠀⠎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣀⣾⣿⣿⣿⡀⠀⠸⠁⠉⠀⠀⣾⣿⣶⣏⣿⡀⢸⠁⢀⠁⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢷⡟⣟⡿⣻⣯⡟⢦⣀⠀⠀⡠⠊⣿⣿⡟⣯⣹⠃⠃⣰⠃⠴⠁⠔⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡞⢮⣳⣏⣼⣿⢼⠃⠀⠋⠉⠉⠀⠀⢻⣻⣿⣯⠻⣼⣔⠁⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠤⢌⣠⣷⣛⡷⢋⢫⡞⣷⢱⠀⠀⠀⠀⠀⠀⠈⠹⢿⣐⠍⠢⢉⡛⠒⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡞⢉⣼⣿⣻⢟⢠⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡻⣛⡆⣤⣉⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⢿⣿⣿⣿⣿⣧⡿⢁⡽⠀⠀⠀⠀⠀⠀⠀⠀⣰⡶⣷⣿⠉⠉⠙⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⡯⣿⢿⡂⢻⡄⠀⢃⠀⠀⠀⠀⠀⠀⣠⡶⣿⣽⢊⡄⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⠟⢸⡷⣤⣏⣄⣀⣀⣀⡀⠠⠔⢛⣿⣰⣷⠠⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢿⠐⢳⢆⡹⠙⠈⢁⠠⠐⢈⣾⡽⡼⠃⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡈⠀⠱⢆⠀⠁⠰⢉⡏⣾⠏⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠐⠕⠤⡠⢨⡫⠋⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢢⠑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠘⢤⢋ ⢠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡘⠤⣉⠦⣭ ⢢⠑⡄⢡⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠄⡐⡬⠰⡡⢜⢢⢇⡻⣴