⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠓⠒⠳⣦⡀⠀⠀⠀⠀⢀⣴⠤⠶⠶⠦⠴⣦⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠈⢻⣆⠀⠀⣰⠏⣠⡶⠚⠉⠉⠉⠉⠙⠿⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⡀⠀⠀⢀⣤⣖⣻⣿⣦⣿⣾⣯⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⢀⣹⠖⠚⠉⠁⠀⠀⠀⠀⠛⠀⠈⠉⡛⠷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⣰⠋⢀⣠⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⢹⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⡼⣽⣷⣿⣿⣧⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⢠⠈⠛⢷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⣸⣿⣻⣿⣻⣿⣿⣿⠀⢸⠀⠀⢀⠀⠀⠀⠀⡆⠀⡇⠈⡄⢤⠈⢻⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢐⡃⡟⠀⡏⣿⣗⣿⣻⣷⡿⣹⡦⢼⡇⠤⢼⡀⠀⠀⠀⡇⠤⡷⢴⣧⡀⢇⠈⣿⡀⠀⠀ ⠀⠀⠀⠀⣀⡠⠊⠘⡇⢰⡇⡟⢛⠛⢿⠛⠁⣼⢳⡜⡿⣆⠀⢇⠀⠀⠀⡇⢰⣇⡞⢹⡒⢼⡀⢹⣇⠀⠀ ⠀⠀⠀⠀⠈⠑⢄⢰⡇⣾⡟⡻⠚⢻⣻⡀⠀⢿⣶⣿⣷⣼⣧⣸⡄⠀⢸⣇⣾⣿⣷⣾⣇⡏⠉⣾⠋⢆⠀ ⠀⠀⠀⠀⠀⠀⠀⢼⣿⢿⣿⠀⠀⠀⣿⣷⣄⣸⡀⡟⢬⣿⢛⡿⢷⢀⣿⣿⢿⡿⡇⣽⡿⠀⢠⣿⡀⡔⠋ ⠀⠀⠀⠀⠀⠀⠀⣸⣏⣼⠻⣄⠀⠀⣿⠇⢻⡉⠃⠟⠒⠻⠾⠃⠸⠟⠉⠐⠟⠗⠇⢹⠇⣠⣾⡇⠳⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠟⢸⠀⣸⠓⣾⠟⢷⣤⣳⡤⠈⠁⠀⠀⢀⣤⠤⠤⡀⠀⠈⠡⣿⢿⣿⣼⡇⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠟⡁⠀⣾⢠⡏⠀⢸⡄⢸⣜⣯⣉⣀⠀⠀⠀⠈⠛⠐⠚⢀⣀⣤⢾⣿⢿⣿⣿⠀⠀⠀⠀ ⠀⠀⢀⣴⢟⣵⣾⠃⢰⣇⡞⠀⠀⠀⢻⡀⡟⠻⢄⣩⠿⠃⠀⠹⣯⡉⠉⠉⠁⡖⠾⡏⣼⣿⡇⠀⠀⠀⠀ ⠀⣠⣿⣵⠟⣿⠃⡰⣼⠟⠀⠀⡀⠀⠈⢷⣧⣠⠋⠀⡤⣤⣤⣶⣿⢿⣆⠀⢰⠃⢀⣷⠋⣿⣷⠀⠀⠀⠀ ⢠⣿⡿⢃⣾⠃⢀⠇⠀⠀⠀⡴⠁⠀⠀⠈⢻⡿⢶⣼⠻⣟⣯⣽⣧⢀⣿⡗⢸⠀⢸⠏⠀⡏⠉⡀⠀⠀⠀ ⣾⣿⠃⣾⠃⢀⣼⠀⠀⠀⢰⠁⠀⠀⠀⢀⠟⠁⢠⣿⠀⠉⠉⠙⠉⠈⣇⠙⣾⡀⠛⢀⣇⣿⡸⢣⣀⠀⠀ ⠸⡿⢸⡇⠀⣼⡏⠀⠀⠀⡌⠀⠀⡀⢀⡞⠀⠀⣾⠟⠀⠀⠀⠀⠀⠀⢹⣞⠃⣹⠳⣾⣿⣿⣧⡔⠉⠀⠀ ⠀⠀⢿⡀⢸⡽⡇⠀⠀⣼⡇⠀⣰⢡⡞⠀⠀⢸⡋⣀⡀⠀⠀⣠⣤⡀⢀⣻⣟⢱⡿⠛⣻⣿⣿⡅⠀⠀⠀ ⠀⠀⠸⣧⢸⡉⣧⠀⣰⣿⠁⣰⣿⣿⣠⣤⣥⡿⠙⡓⠺⠿⠥⢿⠛⠻⠷⣏⡹⢿⡷⣴⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣾⣇⢿⣤⣿⣧⡾⠋⣿⢻⣶⣴⠿⢧⣾⡃⠄⠀⠀⣸⠐⠒⣉⣽⡵⠋⣹⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠋⠘⠿⠋⠁⠀⠀⠹⣧⣸⡀⠀⣼⠀⠉⠉⠉⢹⠉⠉⠉⢹⣿⡇⢀⣏⠉⠛⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⣿⣧⡀⣿⠀⠀⠀⠀⣾⠀⠀⠀⢸⣼⣴⠟⢫⡹⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⡀⡜⠉⢛⣿⠀⠀⠀⠀⡏⠀⠀⠀⣿⠟⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠘⡇⠀⠀⠀⢰⠇⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⣼⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣍⡙⣻⣾⣿⡏⢛⣾⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⣈⣙⣛⣻⣌⣉⣛⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀