⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣷⣿⣿⣿⣿⣿⠶⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣽⣿⣿⣿⠉⣈⣙⣿⣿⣆⠀⠘⢿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣻⡷⢿⣿⣿⣿⣿⢯⣙⣿⣿⣿⣇⣦⠈⢻⣾⢿⣷⣦⠀⠀⠀⠀⠀⢩⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡟⣻⣿⣯⠟⣓⣟⣿⣿⣿⣿⡄⠘⠳⣿⣿⣽⣿⣧⣀⣾⣿⣾⣿⣮⢿⣆⡀⠀⠀⠬⠁⠀⡇⠀⠐⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⣿⡼⣿⣿⣿⣿⠟⠛⢿⣿⡭⢿⡿⠀⠀⠀⣿⣿⣿⣿⡇⠉⠙⣿⢽⣿⣿⠦⣽⣿⡄⠀⣺⢑⠀⡇⠀⢄⠀⢀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⡿⡋⢚⣿⡿⣿⡇⠀⠀⢸⠋⠀⢸⣧⠀⠀⠘⣿⡿⠘⢿⣏⠀⠠⣿⠀⢹⣿⠷⣭⣿⣿⣆⠁⠀⠣⡇⠀⠑⠂⠡⣫⡡⠉⠡ ⠀⠀⠀⠀⢠⣟⣾⠋⠁⢸⡟⠁⠉⡇⠀⠀⣚⠀⠀⠀⣿⠀⠀⠀⣿⠁⠀⠀⣿⠀⠀⠘⠀⠀⢻⠃⠀⠙⡷⢿⣶⡀⠞⠁⠀⠍⠃⠍⠎⠂⠁⠌ ⠀⠀⠀⢀⣾⣹⠛⠀⠀⢸⠁⠀⠀⡇⠀⠀⡅⠀⠀⠀⢸⠀⠀⠀⡇⠀⠀⠀⣬⠀⠀⣰⠀⠀⢸⠀⠀⠈⠭⣿⣿⣿⡄⠀⠀⡀⠀⠀⡁⠀⠄⠀ ⠀⠀⠀⣾⣿⡇⠀⠀⠀⠸⡂⡀⠀⢡⡀⠀⢡⠀⠀⠀⣼⠀⠀⢿⠀⠀⠀⣸⡿⠧⠀⣿⡂⢀⡾⠠⢴⡞⠀⣐⣿⣮⣷⠀⠀⠁⠄⡁⠀⠄⠉⠀ ⠀⠀⢰⡟⣼⡇⠀⢦⠀⠀⣳⣄⣀⣸⣏⢀⣼⣦⣴⣶⣿⣠⡄⣘⣧⣄⣴⣿⣷⣤⣤⣿⣿⡟⢁⣴⡿⣆⣐⣿⣿⣻⣿⡆⠀⠀⠀⠀⠀⠀⠈⠀ ⠀⠀⢸⣿⣿⣇⠀⠀⢣⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣦⣿⣿⣿⣫⣭⣿⡇⠀⠀⠀⢀⠄⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⢤⣤⣬⣿⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⠿⣾⣿⡿⣿⣿⣿⣿⣧⣤⣿⣿⢶⣿⡿⢿⣿⢿⣿⣿⣿⠿⠋⠀⠀⠀⠁⠀⠀⠁⠁⠈ ⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⡿⣴⣿⡿⢿⣿⣿⡟⠀⠀⠀⠀⠂⠀⠀⡀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣹⣿⠿⢿⣿⢿⣇⣸⣿⣿⡛⣻⣿⣸⣿⣹⣿⣿⣟⠹⣯⡻⣷⣬⣿⣻⠉⣹⠄⢸⠛⢿⠃⠀⠀⠀⠄⠀⠀⠀⠁⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⠟⠁⠀⠘⢁⣼⡿⡾⢸⡏⠀⢰⣿⣷⣽⣿⣿⣿⣻⣷⣄⢀⣿⣿⠏⣽⢰⣿⠀⣸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⠠⠀⠀⡌ ⠀⠀⠀⠀⠀⠀⠉⣟⣢⢤⡌⠀⢛⣿⣿⣧⡟⠀⠀⡘⠋⣿⡇⠈⠛⣿⣷⣿⣟⣿⣿⣿⠀⠛⣿⡇⠀⣿⠀⢸⡄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠐⠃ ⠀⠀⠀⠀⠀⠀⢸⠿⣧⢾⡇⠀⣾⡿⠻⣿⣇⠀⠀⠀⠀⠀⢀⣧⣄⣿⣿⡇⢛⣿⣿⣿⣤⠀⣿⡇⠀⣿⠀⠀⢻⡀⠀⢀⠀⠀⠨⠀⠀⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⣾⣧⣿⠘⢇⢀⣿⠃⠀⣿⡿⠀⠀⠀⠀⡾⠟⠛⠛⢹⣿⡀⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⠀⠀⠀⢻⣆⠀⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠃⢹⣀⣸⣿⠃⠀⠀⢻⣿⡾⠶⣿⣶⠀⠀⠀⢀⡞⣻⡇⠈⣿⣿⣿⣿⣿⣿⠿⣄⢻⠀⠀⠀⠀⣹⠄⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠀⠀⠀⣠⡏⣸⠀⠈⣧⣿⣿⣿⠲⢤⣿⡄⢀⣷⣿⣿⣶⠛⢿⣿⣿⣿⡇⣠⣿⣿⣿⣭⢻⣿⡆⠈⢻⣦⡀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠏⠀⣿⣶⠾⣻⡟⠹⡿⣧⣰⣿⣿⣿⣿⣼⣾⣿⣿⡿⣿⣿⣿⣷⣿⣿⣿⣿⣏⣿⢿⣿⣶⣞⣏⢷⢶⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⠋⠀⠀⣿⠿⣳⣾⠀⣸⠇⣿⠈⣿⣿⠿⠟⢻⣿⣿⣿⣻⣿⣿⣿⣿⣧⣙⣿⣿⠁⢸⠀⡛⢿⣟⣿⣿⡀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠁⠀ ⠀⡾⠃⠀⠀⢸⡟⢠⣿⢷⣶⣿⣞⡟⢦⢸⠁⡁⠀⠘⢬⣿⣳⡄⢹⣯⣿⡇⠌⣿⣯⠙⡆⢸⠄⣠⣿⣿⣿⣽⣿⣿⣿⡟⠀⡀⠀⠀⠀⠀⠀⠀ ⢸⠁⠀⠀⠀⣼⠁⠈⡏⠀⠩⠿⠯⣷⡟⣿⡷⠇⣴⣤⣾⢻⣿⣧⣼⣷⣾⡗⠀⣿⣟⡃⣷⢸⠀⠻⢾⣿⣽⡿⣻⣦⣻⣆⣀⣀⣀⠀⠀⠀⠀⠀ ⢻⠀⠀⠀⣸⡇⠀⢸⡇⠀⠀⢀⣔⠛⢶⣿⣿⢷⣾⣿⣿⣿⣯⣿⣿⣿⣯⣿⠀⣿⣯⣙⣿⣿⡆⠀⠂⠈⠙⣧⠙⢿⣭⣯⠻⣿⢿⣷⠀⠀⠀⠀ ⠘⣄⠀⠀⣿⠃⠀⣾⠁⠀⠀⠴⢆⣴⡇⣸⣿⣍⠁⢹⣿⣅⣀⡛⢻⣿⣿⣿⣐⣿⣷⡄⣈⣿⣗⠂⠀⠀⠀⣼⣷⣄⣹⣿⡹⢾⣿⣿⠀⠀⠀⠀ ⠀⠙⣦⢰⣿⠀⠀⡟⠀⠀⠀⣴⠻⣧⢹⣿⣿⠇⣀⣾⣾⣿⣻⣯⣾⣿⣿⣿⣿⠙⣿⣿⣤⣽⡏⠓⠦⣤⡀⢹⣷⣿⣿⣷⣾⣤⣬⣿⣷⣤⡀⠀ ⠀⠀⢸⡆⣿⠀⠀⡇⢀⣄⠀⣿⣶⣷⣿⢿⣿⣷⣯⣩⡽⣿⡟⢛⣟⡩⢻⣿⣿⡾⢿⣿⣿⡿⣧⠀⠀⠀⣷⠘⢿⣿⡿⠁⢹⣟⠀⢈⣙⣿⣽⣧ ⠀⠀⢸⡇⢹⡆⠀⡅⢸⣯⣷⣿⣿⣟⣻⢿⣿⣿⣻⡿⠿⣿⣿⣿⣿⣿⡟⢹⣿⣇⣈⣉⣿⡟⣿⡀⠐⠀⡿⠀⠈⣿⠁⠀⠀⠙⠷⢾⣿⣿⣿⣿ ⠀⠀⢸⡇⠀⢧⠀⠁⠈⠷⣾⣿⢿⣿⣿⣟⣽⣿⣿⣦⣺⣿⡵⣿⣿⢿⢄⡿⢿⣿⣹⣿⡻⣧⣼⣧⠀⠀⡇⠀⣰⢿⡀⠀⠀⠀⠀⠀⠀⢀⣹⣿ ⠀⠀⢸⠀⠀⠘⣧⡇⠀⢀⣾⣿⣶⣿⣿⣿⣤⣾⣍⢹⢻⡶⣿⣿⣿⡇⣿⠇⣸⠛⢿⣿⡖⠛⠹⣿⡇⠘⣇⣰⠋⠘⣇⠀⠀⠀⣠⣶⣲⣿⣿⡏ ⠀⠀⣿⠀⠴⠀⢻⠃⢰⣾⣟⢉⣿⡟⠙⣿⣿⡿⣿⣻⢸⡁⣿⣿⣾⣿⣏⣰⡟⢀⣿⡇⠙⠦⡀⣆⢳⡀⣿⡇⠀⠀⠸⡄⠀⠀⠙⣾⣿⠟⠉⠀ ⠀⠀⢻⠀⠀⠀⢸⡀⢸⣿⣟⣿⣿⣿⢆⢨⡽⣿⢻⡝⢦⣧⡏⢿⣿⣿⣿⣿⢴⣿⣻⡷⠄⣴⡹⡄⠸⣿⡟⣧⠀⠀⠀⣷⠀⠀⡀⢿⠇⠀⠀⠀ ⠀⠀⢸⡄⠀⠀⢸⣧⠈⢿⡛⢿⡿⡿⣶⠻⣷⣦⣼⡇⠈⣿⣧⣶⣼⣿⣿⡇⠀⠚⢿⣷⠦⣾⣿⡄⢠⣿⡆⠘⣇⠀⠀⢸⡆⠀⠻⡏⠀⠀⠀⠀ ⠀⠀⠸⣧⠀⠀⢾⣿⣀⣼⢷⣄⠙⠳⠝⠲⣌⢻⠙⢧⠀⠀⣈⣽⣿⣿⣿⠁⠀⠀⢸⢿⡀⢡⠟⢀⡾⠀⢻⡄⠘⣆⠀⠀⢇⠀⠀⢙⣦⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⣿⢸⣿⣥⠀⣿⣶⠀⠀⢀⣼⣿⠏⢹⡆⠀⢉⣿⡞⣉⣿⡆⠀⢠⣾⣿⣦⠅⠀⣼⠃⠀⠈⢧⠀⠹⣆⠀⢸⡄⣠⣾⡿⠀⠀⠀ ⠀⠀⠀⠛⡆⠀⣿⠀⢷⣧⡼⢻⡴⠆⠀⢲⣿⠟⠳⠂⣿⣀⣼⣿⣿⣿⠟⢷⣾⣿⣿⡏⣟⠂⣰⠃⠀⠀⠀⠸⣇⠀⠘⡄⠸⣧⠛⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡀⢸⠀⣸⣿⡗⠿⠇⠀⣠⡿⣧⣴⠖⠀⢸⣿⣿⣿⣿⡟⢳⣟⢷⠛⢿⣥⡟⢷⣿⣤⡄⠀⠀⠀⢻⠀⠀⢻⡄⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠈⣆⢹⣿⠀⠀⠀⢀⡛⠊⠁⣿⡃⠀⣿⣿⠿⠛⣯⡇⠸⣿⠘⣷⡀⠀⣹⣾⣽⣾⣿⡀⠀⠀⠈⣧⠀⠀⢷⠘⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢹⡀⢻⡘⣏⣆⠀⠈⢿⣤⣶⣾⣿⣭⣹⣿⣿⡓⡦⢻⣧⣾⡿⣆⠘⣇⠀⢻⣿⣿⣯⡁⠀⠀⠀⠀⢻⡆⠀⠸⣧⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣷⠘⡇⠈⠻⢧⠀⢸⣿⣿⡟⣿⠏⠈⡿⢻⡗⢿⣿⣿⣿⡇⠸⡄⢸⠀⣸⠛⢿⣮⡙⢻⣶⣤⡀⠘⡇⠀⠀⢻⢿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⡄⠸⡆⠀⠈⢷⡠⣭⣻⣿⣿⠀⢸⡇⣈⣧⣾⣿⣿⠻⣇⠀⠀⢸⣇⡟⠀⠀⣿⣧⢤⣿⣸⡍⠀⣧⠀⠀⡸⡟⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⠀⢻⠀⠀⠀⠻⣮⣿⣿⣿⣦⢸⢹⣿⣿⣿⣿⣿⡄⢹⣦⡀⠀⣿⠃⠀⠀⢸⣿⣶⡈⡟⠁⠀⢹⠀⠀⠁⣷⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⣇⠀⠀⠀⠘⣟⢿⡿⣿⡿⠀⢿⣿⣿⣟⢻⣇⠈⢻⡻⣖⣾⣆⠀⣠⡾⠛⣎⣿⠁⠀⠀⢸⠀⠀⠀⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⢸⡆⠀⠀⠀⣿⣼⣧⣿⣿⡄⠐⣿⣿⣿⡿⣼⠇⠐⣷⡙⣿⢿⢻⣭⣤⣶⣿⣿⠀⠀⠀⣸⠀⠀⠀⣿⢸⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠈⣿⠀⢀⣴⣻⣯⣿⣿⣯⣿⣄⢸⣿⣷⣿⣽⣷⡄⠈⢳⡇⠈⡏⠉⠉⠉⢻⢿⣾⠀⠀⣽⠀⠀⠀⡗⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⢹⡀⣼⠙⢿⡝⣿⣸⠏⠛⣿⣾⡏⠿⠛⢿⣙⢶⣶⣿⣿⠂⢹⡄⠀⣠⣾⣿⠛⣷⠀⢸⠀⠀⠀⡇⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠘⡇⡇⠀⢼⣟⣿⢻⣧⡀⠻⢿⡇⠀⢰⡴⠮⢿⣯⣟⣿⡇⠀⣻⣾⣿⣿⣧⣶⣿⣀⣽⠀⠀⢀⡧⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⣷⡇⠀⠀⠈⠻⣿⣯⣥⠤⢿⡇⠀⠀⢻⣄⡈⣿⡿⣿⢹⣾⣿⣟⣧⡼⣿⠿⠛⠉⡟⠀⠀⠸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⢿⢸⠀⠀⠀⠀⢸⣿⣹⣶⣾⣧⠀⠀⢸⡏⠙⣶⢛⢿⠀⠹⠿⢻⡏⠉⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⢸⡿⡇⠀⠀⠀⣾⣿⣉⣿⣿⡏⠉⠀⢀⣇⢸⣿⣌⣸⡀⠀⠀⠀⣧⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠁⢿⠀⠀⠀⣿⡿⢿⣟⢻⣧⠀⠀⣸⣿⣾⢿⣮⣽⣇⠀⠀⠀⢹⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠄⠘⡆⠀⠀⢻⡷⢠⣽⣾⡟⠀⢸⣿⣷⣿⣆⣽⣿⣿⠃⠀⠀⢸⠀⠀⠀⢀⡏⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠎⠀⠀⢻⡄⠀⠹⣿⣾⣿⣿⣿⣿⣿⣏⣻⣿⣿⣿⡏⠈⡇⠀⠀⣿⡀⠀⠀⣼⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢧⠀⢸⣿⣿⣿⢿⠇⠀⠀⣹⣿⡿⡿⢿⢧⠀⢸⡄⠀⢹⡇⠀⢰⠇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⢸⣇⡞⢻⣷⣿⡿⠀⠀⢀⣿⣿⡇⠀⣸⢸⠀⠀⠉⠀⠈⢿⢀⡞⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢻⣧⣼⢿⣰⡇⠀⠀⣸⠃⠟⣷⢠⣿⣾⠀⠀⠀⠀⠀⠸⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠈⡇⠀⠈⣿⠀⠀⣴⣷⣦⣾⣿⣿⣏⣟⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⢠⢿⡆⣰⣿⣿⡿⣿⠛⠈⢻⣆⠁⠀⠀⠀⠀⠀⡏⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⡞⠀⢻⣿⣿⣿⣷⠇⠀⠀⠈⣿⣦⠀⠀⠀⠀⢰⠃⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⠀⢿⣟⣿⣿⡄⠀⠀⠀⣹⠟⠀⠀⠀⠀⢸⡀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⡇⠀⠀⠀⠀⢻⣿⣷⠹⢦⣀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠊⠀⣸⠃⠀⠀⠀⠀⠀⠉⢿⣿⠦⢽⣷⣤⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⡿⢛⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣷⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢶⣼⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀