⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⣿⡿⣿⣦⡀⠀⠀⠀⠀⠀⠀⣠⡿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠉⢟⣿⣷⣷⣄⠀⠀⠀⣴⢻⣣⣯⠋⣿⡕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣟⢳⡄⣆⣽⣏⣿⣿⣟⣿⣧⡿⣿⢫⡄⣆⣭⢿⣦⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⣤⣊⡿⠑⠛⢋⠭⢻⡏⣿⡏⢹⡿⢹⣿⠏⠩⢿⡳⠑⣊⢷⣷⡆⠀⠀⡀⡠⠔⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠤⣤⣏⣏⠉⡏⣀⣀⣀⢹⠁⠋⠀⠘⠃⠀⠏⠀⣀⣀⣉⠁⣷⣾⣁⡠⢐⠁⡀⠄⠤⠒⠂ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⣉⣉⣡⣿⣿⣓⣢⣄⣿⣯⣿⡿⣦⠀⠀⠀⣴⢿⡟⣿⣿⠶⢶⣾⣿⡇⣁⣁⡠⠤⠒⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠤⡟⣻⣿⣓⣀⡈⠳⠿⡧⣯⣷⣶⡟⠷⠿⠞⠃⠴⠾⢿⡿⣿⠍⠄⠤⣀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠁⣀⠼⣽⣿⠿⢊⣧⡀⠀⣄⠀⢛⡏⠀⣠⡇⠈⠉⣩⡿⡟⠋⠉⢢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠠⠤⢤⠴⢒⣫⣥⣴⣿⠛⠻⣿⣿⣽⣷⣭⣭⢩⣷⣭⣃⡾⣟⡏⠁⠀⠀⠀⠀⠀⠉⠑⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢋⣡⠥⡔⢅⣦⣏⢟⠎⠟⡿⢯⡗⣦⣯⣥⣏⣤⠿⣒⢢⣶⡖⠿⣏⣻⣗⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠤⠚⣩⢗⣿⢟⡥⡖⣕⡟⡩⡝⡸⡙⢻⠀⠑⣧⠳⢟⣅⡍⢠⣤⣄⡈⡉⢩⡃⣳⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠋⡴⢻⡏⡯⠓⣿⠣⡼⡏⡎⡱⢹⠀⡇⠱⡀⠻⢃⠀⠧⡀⠀⢀⡀⠤⠘⠉⠯⡁⠂⡏⣗⠿⡀⠀⠀⠀⠀⠀⠀⠀ ⡊⣼⠁⢽⡿⠉⣿⠁⡙⡳⡜⢰⠁⣸⠄⠉⢆⡝⣂⣮⣦⣴⡥⠓⠒⠛⠉⡉⣽⠿⣖⣮⢷⣚⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠈⣯⠀⣟⣷⡧⠥⢗⡁⡎⢧⡤⠭⠽⠢⣠⡄⣄⡤⡤⣶⡶⣦⣤⣖⢻⣿⣷⡿⢿⣷⡜⢓⣿⣯⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠝⣲⢿⡛⣽⣞⡽⡻⡟⣯⡿⢿⢻⠿⠟⠏⠛⠛⠋⠉⠻⣿⡿⣚⠿⢯⣏⡆⠀⠛⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣧⣆⢇⣻⣷⡤⡖⠉⠚⡯⢝⣷⣷⣖⡦⡀⠀⠀⠀⠀⠀⠀⠉⠿⣿⡿⠯⠁⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠯⢿⡟⠿⠿⣿⣦⡠⠨⣷⡿⣿⡿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀