⠁⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣶⣶⣾⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣾⣶⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⠿⠿⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠻⠿⢿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣦⡀⠀⠀⠈⠙⠛⠿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⡄⠀⢴⣶⡆⠀⠀⢸⣿⣗⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⢰⣶⣦⣿⣏⣁⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣿⣿⠿⠛⠃⠀⢸⣿⣇⢀⣀⣸⣿⣿⠀⢸⣿⡟⠀⠀⠀⠀⠀⢀⣿⣿⠛⠛⠛⠿⠿⠃⢠⣦⣤⣀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠟⠉⠀⠀⠀⠀⠀⢀⣠⣦⡀⠀⠀⠈⠉⠁⢹⣿⡇⠀⠀⠀⢸⣿⣿⠿⠿⠿⣿⣿⠀⢸⣿⡟⠀⠀⠀⠀⠀⢸⣿⣿⣶⣶⣤⣤⡀⠀⠈⠙⢻⣿⣿⣷⣦⡄⠀⠀⠀⠀⠀⠀⠙⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣦⣄⠀⠀⠀⠈⣿⣿⡄⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⡆⢸⣿⣧⣤⣄⣤⣀⠀⣿⣿⠃⠈⠉⠙⠛⠀⠀⠀⢀⣾⣿⠃⠈⠙⠁⢠⣿⣦⠄⠀⠀⠀⠀⠈⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⠈⢻⣿⣷⣄⡀⠀⢹⣿⣧⠀⠀⠀⢿⡿⠆⠀⠀⠹⠛⠃⠘⠛⠛⠛⠛⠛⠛⠀⠿⢿⣿⣶⣶⣤⣤⠀⠀⠀⣾⣿⠏⠀⠀⠀⣠⣿⡿⠁⠀⢀⣀⡀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠟⠻⢿⡿⠦⠐⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠃⠀⠀⣼⣿⡟⠀⠀⠀⣴⣿⡟⠁⣠⣾⣿⠿⠿⣿⣦⡀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠋⠀⠀⠀⠀⢀⣤⣴⣶⣤⣄⡀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢠⣾⣿⠏⠀⣼⣿⡟⠁⠀⠀⢘⣿⣷⠀⠀⠀⠀⠀⠈⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠟⠀⠀⠀⠀⠀⣰⣿⡟⠋⠉⠛⣿⣿⣄⠀⠀⠀⠀⠸⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣶⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣷⣶⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⢸⣿⣿⠀⠀⠀⠀⠈⠙⠋⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠁⠀⠀⠀⠀⠀⠰⣿⣿⠀⠀⠀⠀⠈⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡾⠿⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣦⣶⣧⡀⠀⣠⣾⣿⣿⣷⣦⡄⠀⠀⠀⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⡀⠀⠀⠹⣿⣷⣀⠀⠀⣠⣿⡿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⠉⢠⣾⣿⠟⠉⠀⠈⢻⣿⣆⠀⠀⠀⠈⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠃⠀⠀⠀⢀⣴⣿⣿⣷⣄⠀⠙⠻⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⣠⣶⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⡇⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠹⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠁⠀⠀⠀⣠⣾⡿⠋⠈⣿⣟⣠⣀⣠⣤⡶⠀⠀⠀⠀⠀⠀⢀⣴⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣄⠀⠀⠀⠀⠀⠀⠈⢿⣷⣤⣀⣠⣴⣿⡿⠁⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⠀⠀⠀⠀⠸⣿⣿⣦⣀⣼⣿⠿⠿⠿⠿⠏⠁⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣶⣶⣿⣿⣿⣿⣶⣄⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣥⡀⠀⠀⢀⣀⠀⠀⠀⠀⣴⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡶⠿⠿⣿⣿⣷⣦⡀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣬⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⡗⢢⣿⠛⣷⣆⢠⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠁⠀⠀⠀⢿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣶⣤⣀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣿⠁⠀⠀⠀⣰⣷⣶⣶⣶⣶⣶⣶⣶⣾⠟⠀⢸⣿⣤⣽⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠛⠁⠀⣠⣤⣶⡀⠀⠸⣿⠛⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⣰⣾⣿⠟⠛⠙⠛⣿⣧⡀⠀⠀⠹⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⠃⠀⠀⠀⠀⠙⢿⣿⣍⠉⣹⣿⠏⠛⠋⠀⠐⡿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⠾⠋⢁⣴⠀⠀⣾⡟⠉⢿⣷⠀⠀⣿⡀⣿⣿⣿⠿⠋⠀⠀⢀⣠⣴⣶⣷⣶⣶⣶⣶⣤⣤⣤⣤⣤⣶⣤⣤⣀⣸⣟⠾⣇⠀⠀⠀⠀⠈⠉⠛⠿⣿⣷⠀⠀⠀⢨⣿⣿⠁⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⢻⣿⡄⠀⠀ ⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠻⣿⣿⣾⣿⡶⠶⠶⠶⠶⠿⠛⣿⡉⠅⠀⣶⣾⣿⡏⠀⠀⣿⡇⠀⠈⠛⠀⠀⣿⣷⣿⡿⠁⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣞⣿⣤⣴⣤⣤⣄⣀⠀⠀⠘⣿⡇⠀⠀⠀⠻⣿⣦⣄⡄⠀⠈⠻⠟⠀⠀⠀⠀⠈⣿⣧⠀⠀ ⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⣠⣴⣤⣄⠀⠙⢿⣷⡦⠀⠀⠀⠀⠀⣸⣿⡇⣿⡏⢿⡄⠀⠀⣿⣿⣿⡿⠅⠀⠀⠀⣼⡿⢿⣆⠀⢹⣿⠀⠀⣀⠀⠀⣿⣿⣿⡷⢀⣴⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⡁⠀⠀⠀⠀⠙⠛⠿⠟⠂⠀⠀⣀⣠⣤⠀⠀⠀⠸⣿⡆⠀ ⠀⠀⠀⢰⣿⡏⠀⠀⠀⠀⣼⣿⠟⠻⣿⣧⠀⠀⠛⠁⠀⠀⠀⠀⢰⣿⠹⣿⢸⣿⠘⣿⡀⠀⠀⣼⡿⣷⡀⠀⠀⢠⣿⡇⠘⣿⣆⠘⣿⡆⠀⣿⡇⣤⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣤⣤⣶⣶⣿⣿⣿⠿⠿⠀⠀⠀⠀⣿⣧⠀ ⠀⠀⠀⣾⣿⠃⠀⠀⠀⢠⣿⣏⡀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⣿⡏⣿⡆⢹⣷⠀⠀⣿⠁⢹⣷⡀⠀⠰⣿⣷⡾⠟⣿⡄⠸⣿⣶⣿⠃⠉⣿⢯⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⢻⡿⡇⠀⠀⠀⠀⠉⠉⠙⠛⠿⢿⣿⣇⠀⠀⠀⠀⠀⢻⣿⡛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⡀ ⠀⠀⢀⣿⣿⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⣷⣶⣦⡤⠀⠀⠀⠀⢸⣿⠁⠀⢹⣧⢻⣷⠀⢿⣇⢈⣿⣦⣤⣿⣧⠀⠀⢿⣿⠀⠀⣿⣿⡿⠃⠉⠉⢀⣠⣿⣿⣿⣿⡿⠋⠀⠀⠀⣀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣏⡇⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇ ⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠃⠀⠀⠀⠀⣾⡟⠀⠀⠸⣿⠸⣿⡄⠘⣿⡆⣿⣏⠀⠸⣿⡆⠀⠘⣿⣦⠠⠟⠋⠁⣠⣴⣾⣿⣿⣿⣿⣟⢯⡇⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣿⣿⡇⠀⠀⠀⠀⠀⠿⠿⠂⠀⠀⠀⠀⡀⠀⠀⠀⠀⠐⣿⡇ ⠀⠀⢸⣿⡇⠀⠀⠀⢰⣷⣾⣶⣷⣶⣶⣶⣾⣿⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⣿⡇⢿⣧⠀⢸⣷⢸⣿⡄⢸⣿⣿⠿⠟⠛⠉⢁⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣏⣶⣷⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠉⠁⠀⠀⠀⠉⠉⠉⠉⠉⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣿⣿ ⠀⠀⣺⣿⡇⠀⠀⠀⠘⠿⢿⣿⣶⣧⣬⣌⣁⡁⠀⠀⠀⠀⢰⣿⠅⠀⠀⠀⢹⣷⢸⣿⠀⠀⣿⡏⠉⠙⠀⠀⢀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⢰⣿⡟⠉⠉⠉⠉⠉⠉⠛⠛⠻⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿ ⠀⠀⢽⣿⡇⠀⠀⠀⠀⠀⢀⣀⣭⣭⣿⣿⣿⡿⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠈⣿⡆⣿⡇⠀⢸⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⡧⡇⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣹⣿⣿⠀⠀⠀⠀⠀⠘⣿⣷⣤⣄⣤⣤⣤⣤⣤⠀⠀⠀⢾⣿ ⠀⠀⢻⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣯⣭⣥⣤⣤⠀⠀⠀⠀⠈⣿⡅⠀⠀⠀⠀⢻⣧⢹⣷⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠁⠀⠀⠀⠀⢀⣀⣤⣤⣿⣿⠏⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣸⣿⣿⠀⠀⠀⠀⠀⠀⠘⠛⠿⠿⠿⠿⠟⠿⠛⠀⠀⠀⣻⣿ ⠀⠀⢸⣿⡇⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⣷⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠸⣿⡜⣿⡄⠀⣿⡏⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠁⠀⠀⠀⠀⠀⠈⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢲⣤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⠇⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⢿⣇⢿⣇⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢟⡿⠉⠉⠉⠈⠉⠈⠉⠉⠛⠻⠿⣿⣿⣿⡄⠀⠀⠀⠀⣾⣿⠻⠿⣿⣿⢿⣿⣿⡇⠀⠀⠠⣿⡇ ⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣏⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀⠀⠀⠀⢸⣿⢸⣿⠀⣼⣧⣤⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡿⠿⠿⠟⠛⠋⠉⠀⠀⠀⠀⢀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣶⣶⣼⡿⣸⡇⠀⣀⣀⣀⣀⣄⣄⣀⣀⡀⠀⠀⠉⠻⣿⣄⠀⠀⢠⣿⡟⠀⢠⣿⡇⠀⣸⣿⠀⠀⠀⢸⣿⡇ ⠀⠀⠀⢿⣿⡆⠀⠀⠀⠰⣿⣿⣟⣉⣀⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⣿⡆⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⣸⢧⢻⣿⠇⠀⠀⠀⠀⠀⣀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠘⢿⣆⠀⠀⢿⣿⣶⣾⢿⣷⣴⣿⡟⠀⠀⠀⣼⣿⠀ ⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠙⠛⠻⠿⠿⢿⣿⣿⣷⣆⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⢹⣧⢸⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⣀⣿⣧⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠁⢰⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠛⠛⣿⡿⣿⣿⣷⣮⣿⣦⠀⠀⠙⠛⠉⠀⠙⠛⠋⠀⠀⠀⢀⣿⡏⠀ ⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠘⣿⡄⣿⣿⠏⠉⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠸⢿⣿⡾⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠉⠛⢿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠇⠀ ⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣆⠀⠀⠀⢿⣧⢹⣿⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣷⣶⠍⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀ ⠀⠀⠀⠀⠀⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣤⠀⠀⠸⣿⡸⣿⣀⣴⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠉⠀⠀⠀⠀⠙⢿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣇⡀⠀⢿⣷⣿⣿⣿⣿⣿⡿⢿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠸⣿⣿⣿⣿⣿⠏⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣠⡖⠀⠀⠀⠙⣿⣦⣿⣿⣿⣿⡏⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⡟⠁⠀⠀⠀⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣶⣤⣀⣠⣾⣿⠇⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣦⡀⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⢹⣿⣦⣀⣠⣴⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠸⣿⡜⣿⣿⣿⣿⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠉⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣄⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⡷⠦⠀⠀⠀⠀⢻⣧⢸⣿⢿⣿⣿⠉⠹⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠿⠋⠁⠀⠀⠀⠀⠀⠰⠾⠿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⡀⠀⠀⠀⠴⠿⠛⠛⠻⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡌⣿⠀⢹⡿⢿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠛⠻⠿⠷⣄⠀⠀⠀⢠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⢻⡇⢸⡇⠀⠀⠉⠛⠿⢷⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⠿⠷⣷⣶⣶⣶⣶⣶⡶⠿⠾⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣀⠀⠀⣠⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣶⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⠿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠏⠉⠉⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⣠⡜⠋⠀⠀⣤⠀⢀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣷⣤⣀⠀⠀⠀⠀⠀⢹⣿⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢿⣿⢁⣾⡟⢻⣧⢠⣾⣿⠀⣾⣏⡙⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣶⣤⣀⠀⠈⣿⡎⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠿⣶⣾⣿⠈⠨⣿⠀⠘⢿⠿⣻⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣶⣿⣷⣹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠁⠘⣿⣧⣿⠃⠀⠰⣿⡇⠈⠻⠷⠟⠁⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣾⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣷⣶⣦⣤⣤⣀⣀⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⣀⣀⣤⣤⣶⣶⣿⣿⡿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⠠⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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