⣥⣿⢀⡜⠁⣾⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀ ⣽⣏⡞⣠⠾⣿⣯⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀ ⣿⡟⡴⠃⠀⣿⡞⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⢻⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⣀⣠⠀⠀⠀⠀⡄⠀ ⣿⡽⠁⠀⠀⣿⣿⢸⡆⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡸⣄⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢀⣸⣀⣀⣙⣷⣀⣀⣀⣀⣤⣤⣼⣿⣿⠯⠛⢷⠀⠀⠀⠀⢳⣠ ⣿⠁⠀⠀⠀⡟⢿⢸⣧⡄⠙⡟⠿⣶⣦⣤⣀⣀⣰⣃⣹⡄⠀⠀⠀⠀⠀⠘⣇⢹⡇⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠘⢿⣟⣿⣻⡿⠿⣿⡿⠛⠋⠉⢨⡇⢹⣦⠀⠘⣆⠀⠀⠀⢸⡿ ⠟⠀⠀⡄⠀⠀⢸⢸⢏⣇⠀⡇⢠⢸⡏⠛⠿⣿⣿⣦⣬⣿⡿⣿⣿⣾⡖⠀⢻⡸⣧⡀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⢸⠀⠉⣁⡀⡆⠘⢿⡄⠀⠀⢸⡇⢀⣻⣧⠀⣿⣀⣀⠀⠈⣿ ⠂⠀⢸⠁⠀⠀⢸⢸⢸⠈⠀⡇⢸⢸⠀⠀⢠⢿⠁⠘⠉⠉⢿⡉⠉⠙⠂⠀⠈⣇⢻⡇⢠⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⠚⠉⠉⠓⠃⠀⠈⣿⣤⣴⣿⣿⣿⣿⣿⣿⣿⣟⡀⢰⠀⢻ ⠀⠀⡼⠀⠀⣼⣿⢸⠘⠀⠀⡇⠈⣸⠀⠀⡾⡏⢀⣀⣀⠀⠈⣧⠀⢦⠀⠀⠀⠸⡌⢿⡄⠃⠀⠀⠀⣿⡀⠀⠀⠀⢸⢀⣠⠀⢀⣤⣶⢾⣿⣿⣻⡿⠉⠙⢿⣿⣿⢿⡟⠛⠃⡇⢸ ⠀⠀⡇⠀⠀⠸⡟⠲⢦⠀⠀⣧⣿⣿⣿⣽⣿⣷⣶⣄⣉⠳⢦⣈⣷⣨⢧⡀⠀⠀⢱⡘⣿⡄⠀⠀⠀⣿⡇⠀⠀⠀⢸⢋⣤⣾⣟⣿⣿⣿⣿⣿⣿⠀⠀⠀⣶⣼⣿⡿⡇⠀⠘⢣⠀ ⠀⢰⡇⠀⠀⠰⣿⣄⡈⢙⣶⣿⣿⠻⠉⢻⣿⣿⣿⣿⣿⣿⣶⣄⡀⠹⣷⣆⠀⠀⠀⢷⡙⠀⠀⠀⢰⡏⣷⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡇⠀⠰⣼⠀ ⠀⢸⠇⠀⠀⢠⡇⠙⢿⣍⣿⣿⠃⠀⡇⣿⣿⢿⣿⣿⣿⣻⡻⣟⣿⣶⣬⡻⣧⡀⠀⢼⣷⣄⠀⠀⣾⠇⢹⣠⣴⣿⠟⣿⣿⡏⠛⠻⠃⠀⣼⣿⣿⡇⠀⢠⣿⣿⠟⢠⡇⠀⢀⡏⣆ ⠀⣾⠀⠀⠀⡞⡇⠀⠓⠿⣿⣿⡆⠀⡇⡏⣿⣿⣻⡉⠙⣿⠟⠁⣿⣿⣟⡟⠿⠻⢦⡌⠻⣿⡄⢀⣿⠀⢹⡇⢀⡿⠀⣿⣿⣿⣦⣀⣀⣸⣿⣿⣿⡏⠀⠜⠛⠋⣀⢸⡇⠀⢸⢱⡏ ⢰⡟⠀⣠⡾⠁⡇⠀⠀⢀⣿⠹⣿⡄⣿⡇⢿⣿⣿⣷⡄⠀⠀⣸⣿⣿⣾⡇⠀⠀⠀⢹⣦⡹⣷⣼⠏⠀⢀⣇⡞⠁⠀⢻⣿⣿⣿⣿⣿⣿⣯⢛⡿⠁⠀⠀⠀⣤⡇⢸⡇⠀⡏⣼⢇ ⣿⣡⣾⣿⠃⢸⡇⠀⠀⣼⠻⡄⠘⣿⣽⡇⠈⣿⣾⣿⣿⣦⣾⣿⣿⣿⣏⡇⠀⠀⠀⢸⠏⢻⣾⣿⣶⣤⣾⡞⢀⡞⠀⢈⣿⣿⣿⣿⢿⣿⡿⠏⠀⠀⠠⣴⠸⣧⡇⢸⠁⠈⠁⢸⢸ ⣿⣿⢿⡏⠀⣼⡇⢀⣼⠇⠀⣷⡀⠈⢿⣿⣄⠘⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣠⣾⣰⣿⡏⣿⣿⣿⠿⣤⠏⠀⣰⠋⣴⢋⡛⣛⣋⣝⣁⣤⣴⡞⠙⠓⠀⠀⡄⢸⠀⠀⠀⠸⣼ ⣾⡿⣾⠁⢠⣿⠀⣼⣿⡀⠀⢸⣧⠀⠈⣠⢆⠀⠈⠙⠻⢿⣷⡾⠏⠀⢀⡠⣾⣿⣿⡿⣻⢟⣾⣿⣿⠃⣰⠃⢀⡾⢁⡾⢩⠿⠛⣳⢿⢟⡿⠋⡽⢃⡀⠀⢀⡼⡇⣿⠀⠀⠀⠀⣿ ⣽⣽⠇⠀⣼⣟⣞⣋⣼⣇⠀⠀⢿⡀⠈⠱⠟⠒⣦⣄⡀⠀⢀⣀⣠⣴⡏⣰⢋⣾⡏⣴⢻⣿⣟⠛⠃⣰⠃⢠⠟⢠⠞⣰⠋⡼⡿⣱⣯⠞⢠⡟⣡⣾⢦⠞⡾⣹⠀⡿⠀⠀⠀⠠⢻ ⣿⡏⠀⢸⣿⣿⢟⣽⣿⣿⠀⠀⢸⣇⡸⠀⣠⡴⠋⣿⡿⣛⠛⣽⡿⠋⣰⢣⠏⡞⣼⣱⠿⠃⠙⠧⠘⠁⠀⠏⣰⠏⡰⠃⢼⡟⠱⣻⠃⢠⠟⡴⣿⢣⢋⠞⢀⣵⣾⡇⠀⠀⠀⠀⢺ ⡿⠀⠀⠏⢹⣃⣿⣿⣿⣿⡆⠀⠀⣿⣇⣾⠟⢁⡞⣟⡵⢃⣼⡟⠁⡼⣱⢃⡞⢘⡟⠁⠀⠀⠀⠀⠀⠀⠀⡴⠁⠐⠃⢀⣾⣤⡼⠁⢠⣏⡜⣽⠁⢠⠏⣠⠾⢃⣿⠃⠀⠀⢠⠃⠘ ⢁⣤⡶⢾⣿⣏⢻⣟⣿⣿⡇⠀⠀⣿⣿⠏⣠⢏⣾⠟⢠⣞⡞⢀⡞⢱⢃⡞⠀⠈⠀⠀⠀⠀⠀⠀⠀⣀⣈⣠⠤⠖⠊⠉⢻⣿⠃⠀⠉⠉⠈⠹⠞⣡⣾⡷⣁⣼⣿⠀⠀⣠⠆⠀⠀ ⣋⣥⣾⣿⣿⣻⠈⢿⣿⢿⡇⠀⢠⣾⡏⡰⢃⣾⠏⢠⢿⠞⠀⠎⣀⠐⢦⣤⣤⠤⠖⢲⡖⢲⠒⠋⠉⠁⠀⡀⠀⠀⠒⢋⡿⠃⠀⠀⠀⠀⣀⢸⣾⣿⣿⣷⣿⣿⡜⠀⢀⣾⣏⠀⠀ ⣯⣼⡟⢻⣻⣿⣦⠈⠛⢛⣿⠀⣹⡟⡿⣥⣿⠏⣠⢿⠏⢀⡀⣄⣸⠀⠀⠻⣿⣗⣒⣒⣧⣶⠒⠚⠉⢉⣀⣀⣠⣄⡀⢻⠀⠀⠀⠀⢀⣠⣿⣼⣿⠋⢹⢹⣿⣿⡇⠀⣼⣿⣝⣆⠀ ⣿⠉⠀⠈⢿⣏⣿⣾⣿⠿⣿⢰⡿⠄⠀⠻⠛⣶⣧⣀⢰⡄⢻⡄⠀⠀⠀⠀⠈⣀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⢷⢸⠀⠀⣠⣴⣿⣿⣿⡟⠁⠀⠸⣾⣿⢸⡀⢠⣿⡏⠀⢈⣷ ⢿⣆⠀⠀⠈⣿⣽⣷⡀⠀⣿⡿⠁⠀⠀⠀⠀⠁⠈⠛⢿⣿⣴⣧⣤⣤⣀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⣷⣿⣿⣿⣿⣿⠟⠀⠀⠀⢠⣿⣿⡌⡇⣾⡏⠀⠀⣼⠟ ⠈⢻⣧⠀⠀⠸⣿⡿⣷⡤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠙⢿⣿⣿⣿⣿⣶⣤⣄⡏⣾⠁⠀⠐⠄⢢⠀⠀⢀⣠⣾⣇⣽⣿⣿⣽⠋⠀⠀⠀⠀⠀⣼⣿⢹⣇⢹⣸⠃⠀⣸⠏⣼ ⠀⠀⠻⣷⡄⠀⠻⣿⡞⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠙⢿⣿⣿⣿⣿⣿⡇⣿⣿⣶⡦⣼⣼⣤⣾⣿⣿⣿⣿⣿⣿⢟⣿⣦⡀⠀⠀⠀⢰⡿⢸⠈⣿⠀⢿⡆⢰⡟⣰⠏ ⠀⠀⠀⠘⢿⢀⠀⠈⢷⣽⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⢸⣯⣿⡿⣿⣿⣧⢻⣿⣿⣿⣿⢸⣾⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⠻⣦⡀⢰⡿⡇⢸⡆⢸⡇⠀⢡⡟⢰⡏⠀ ⠀⠀⠀⠀⠘⣆⠀⠀⠈⣳⣷⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠸⣷⠙⢷⣌⢹⠻⢼⣿⣿⣿⣿⣿⡿⢛⣿⣿⢟⣽⡿⡟⠁⠀⠀⠀⠙⢷⣄⣀⡀⢸⣧⠘⡇⢀⡿⢡⡟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠤⠤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣤⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢸⡀⢀⣸⣏⠛⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡴⢖⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿⣷⣿⣿⣿⡿⣿⣷⣶⣦⣤⣤⣤⣄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠣⢤⣤⣤⣤⣤⣤⣤⣼⡿⠟⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣿⣻⢿⣶⣦⣤⣀⣠⣤⣀⣤⣄⣀⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠸⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠈⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⢀⣤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⣠⣾⣥⠖⠛⠉⠉⠙⠓⠶⣤⣀⠠⢤⡀⠀⠀⠀⠀⢀⣠⣤⠶⠚⠛⠉⠁⠀⠀⠠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⣝⢀⢀⣠⣶⣿⣿⠿⠟⠛⠋⠉⠉⠛⠿⢿⣶⣝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀⣰⣿⣿⣶⣄⠀⠀⠀⠙⣿⣿⡿⠛⠁⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠈⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀ ⠀⢸⣿⣷⣇⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡷⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣦⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀ ⠀⣸⣿⣿⡇⡀⠀⠀⠀⠀⣰⡟⢻⣿⡿⡄⣧⠀⠀⠀⠀⠙⠛⠛⠋⠁⠀⠀⠀⠀⣿⠆⠀⠀⠀⠀⠹⢿⣿⣿⡿⠃⠀⠀⠀⠐⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀ ⠀⢿⡇⠙⠟⠁⠀⠁⠀⣰⠟⠁⠀⠹⣷⣳⡌⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣍⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀ ⠲⢾⡇⠀⠀⠀⠈⢳⣶⠟⠒⡂⠀⠀⠙⢷⣝⢦⣱⣄⠀⠀⠀⠀⢀⣤⡶⠛⠛⠉⠙⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⢃⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠸⣿⣿⣿⣷⡀⠀⠸⡇⠙⠷⣤⣉⡻⠶⠶⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⠙⢿⡤⠤⢤⡤⠤⠶⠟⢛⣡⡴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⢿⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠈⠛⢛⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠶⠶⠶⢶⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠐⢸⣦⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠘⣾⠉⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠷⠾⠿⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀ ⠀⠀⠀⢻⡄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠛⢿⡄⢸⣿⣷⡄⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠁⠀⠀ ⠀⠀⠀⠀⢿⡄⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣦⣴⣶⣶⣤⠈⣿⡌⣿⠏⣻⢷⣄⠀⠰⢄⣀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⡄⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⣿⣿⣷⣶⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣼⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣦⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣴⣶⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⡁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣶⣴⡾⣿⣭⣽⣛⠿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣶⣶⣾⣿⣿⣿⡟⠀⠙⢶⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣠⣶⣴⣶⣴⣦⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠉⠳⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⡽⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⡟⢹⡛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⢿⠈⡇⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠛⠋⠁⢀⣿⣶⣽⣿⣿⣿⣿⣿⣷⣴⣶⣾⣋⣯⣥⣬⣭⣿⡓⠶⢤⣀⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀ ⠄⠒⠉⠀⠈⠙⠛⠛⠻⣿⣿⠟⡟⠙⢻⣷⣦⡀⠀⠀⠈⠹⣷⠀⠀⠈⢩⣳⣦⣤⣤⣭⣵⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠴⡿⠃⢸⠀⠀⠘⣿⣿⣷⠀⠀⠀⠈⠋⠀⠀⠀⠀⠈⠉⠓⠲⢤⡀⢀⡀⠈⠭⠟⠲⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⡼⠁⠀⠘⣆⠀⠀⠀⠉⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠤⠶⠶⠿⠿⠿⣷⣍⠳⢤⡀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡼⠋⠀⢸⠃⠀⠀⠀⠈⠳⢄⣀⣀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡞⠁⠀⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⡀⠀⠀⠀⠀⢀⣤⡶⠾⢿⣿⣿⣿⣶⣦⣤⣀⠀⠈⠳⣄⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠑⢈⡟⠀⠀⠀⠀⠉⢧⠀⣦⣀⠀⠀⢀⠞⢁⡜⠁⠀⠀⣠⡼⠛⢇⠀⠀⠀⠛⠿⢿⡿⠿⠛⠛⢷⣦⡀⢸⣦⠀⡇⠀⠀⠀⠀⠀⠀⠀⠠ ⠀⣸⠁⠀⠀⠀⠀⠀⠀⢿⠀⠈⠉⠒⠛⠊⠁⠀⠀⢀⡾⠋⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡹⠿⣿⣿⣶⣶⣶⣶⣶⣶⣶⡄⠀⠀ ⣀⣿⠀⠀⠀⠀⣾⣄⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠈⠑⠢⠤⠤⠤⠤⠖⠚⠉⠀⢀⣾⡿⣿⣿⣶⣶⣤⣤⣤⣤⣤⡀ ⠉⣿⠀⠀⠀⢸⣿⣿⠗⢤⡀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⣹⠃⣸⠛⢿⣯⣭⣉⠛⠛⠛⠃ ⢀⣿⠀⠀⠀⣿⣿⡃⠀⠀⠉⠲⣄⡀⠀⠀⠀⠀⠙⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⢠⠏⢀⡟⠀⠀⠙⠻⣿⣿⣶⡆⠀ ⠋⢻⠀⠀⠀⣿⣿⣿⣷⣤⣀⠀⠀⠉⠒⠦⢄⣀⠀⠀⠈⠑⠲⠤⣀⣀⠀⠀⠀⠀⠀⣀⡤⠞⠋⠀⢠⡟⠀⣸⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀ ⠀⢸⡄⠀⠀⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠈⠉⠑⠒⠤⠤⣤⣄⣀⣉⣭⡿⠟⠉⠀⠀⠀⠀⣠⠏⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠈⣧⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⢀⡴⠃⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡄⠀⢹⣿⣿⣿⠿⠛⠛⠛⠛⠛⠛⠿⢿⣿⣿⣿⣶⣦⣤⣤⠞⠁⠀⠀⠀⠀⣠⡶⠋⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣷⠀⠈⢿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⡿⠋⠁⠀⠀⣀⣠⡴⠞⠉⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠘⣆⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣞⣁⣀⣤⠴⠖⠛⠉⠁⠀⢀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⢠⣾ ⠀⠀⠀⠀⠹⣆⠀⠀⠙⠲⢤⣀⣀⣀⣀⠤⠞⠛⠿⣭⣍⠡⠤⠤⠤⠤⠤⠤⠖⠚⠉⠀⠀⠀⠀⠀⠀⢀⣠⡤⠞⠋⠀⠀⠀⠀⠀⣰⠟⣿ ⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⠴⠂⠀⠀⠀⠀⠀⢀⣠⡾⠃⠀⣿ ⠀⠀⠀⠀⠀⠀⠘⠦⢤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣉⣩⣿⣿⣿⠛⠛⠉⠉⣁⣀⣀⣀⣤⡤⠤⠶⠚⠋⠁⠀⠀⢠⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠛⠛⠒⠒⠺⣿⠛⠋⠉⠉⠉⠈⣧⣾⣿⣿⡇⠀⠀⠀⠻⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⣀⣤⣴⣿⣿⣿⣿⣿⡷⠚⠶⢤⡀⠉⠛⠶⢤⣤⣄⣀⣀⠀⠀⠀⠀⠘⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠹⣦⣀⣤⣤⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡷⠞⣿⠙⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣏⣴⠞⠁⠀⠀⠙⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿ ⣿⠟⠁⠀⠀⠀⠀⠀⠀⢀⣴⣞⠿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿ ⠁⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠏⢀⣀⠀⣘⡄⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠙⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⣿⢘⠭⠭⣯⠫⢇⠀⠀⠀⠀⠀⠀⠀⠀⠠⣥⣤⠤⠔ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⡭⡯⢠⢿⡿⡏⡚⠀⠀⠀⠀⠀⠀⠀⠀⡇⢻⡍⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⣨⡿⠟⠃⢻⣇⠩⢤⣀⢿⠛⠒⠂⢄⡀⠀⠀⢠⢸⡄⠘⡄⠀ ⠀⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠉⠓⡒⠒⠋⠀⠀⠀⠀⠑⡀⠀⡘⣆⠇⠀⢸⡯ ⠀⠀⠀⠀⣰⠃⠆⠀⠀⢢⠀⠀⢀⢆⠀⡀⠀⡀⢕⠡⣃⡀⠘⡄⡇⢻⠀⠀⡇⡇ ⠀⠀⠀⠀⡿⠀⠀⠀⠀⢈⢴⠋⠈⠉⠐⠁⠈⠃⣈⠢⢤⡉⢢⢈⢸⡆⢀⠔⠑⢳ ⡀⠀⠀⢠⣇⠀⠀⠀⠀⡌⣇⣦⣀⠀⣀⠤⠚⠁⠀⠀⠄⠈⠫⣘⣄⣳⣁⣀⣀⣸ ⡷⡄⢀⠀⠻⣤⣀⠂⠉⠀⠀⠊⠈⠀⡩⣀⠉⡝⣕⢶⣖⣚⣓⣚⣓⣒⣬⣭⠤⢽ ⣿⣏⠉⠉⠉⢍⠙⠓⠓⠒⠒⠒⠒⠂⠉⠐⠙⠪⠾⠫⢿⣉⡑⠒⠓⠂⠈⢉⣁⣤ ⣿⣿⣧⡀⠀⠀⠈⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡽⠀⠀⠉⠙⠛⠓⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⠀⣴⣿⣵⠶⠀⠀⠀⣀⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣼⣿⡾⠋⠀⠀⡴⣮⢯⡒⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠿⢼⣿⠿⢥⣀⣠⣮⡿⢿⡷⠎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠁⠀⠀⠀⠉⠐⢚⣤⣤⣄⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠋⠀⣠⡶⠂⠀⠀⠀⠀⡞⣫⡉⢱⠂⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⠀⠀⡿⠁⠀⠀⠀⠀⢰⠁⠤⢹⣿⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⠀⠈⠁⠀⠀⠀⠀⣠⡿⡤⠓⠈⢿⠀⠉⠛⢉⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠰⢉⣉⣴⣦⡀⠘⣄⣀⣠⣈⣿⡀⠀⠀⠀⠀ ⠀⠀⢀⡤⡊⠀⢤⠄⠀⠀⠀⠀⠀⢳⣿⣿⣿⣿⡟⠉⠉⢙⣟⡿⡿⠳⣄⠀⠀⠀ ⣠⠔⠉⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠙⠽⣛⣉⣓⡦⠝⠛⠋⠉⠁⠀⠀⣵⣦⠀ ⠁⠀⠀⠀⣀⣦⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄ ⠉⠉⠉⠉⠁⠐⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢫ ⠀⠀⠀⠀⣀⡤⠝⠧⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⢀⡷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰
⠀⠀⠀⠀⠀⠀⠀⠈⠡⠃⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⡼⣱⢢⠖⠀⠀⠀⠀⠀⠀⠈⢻⡉⠈⠉⠁⠋⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠊⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⠀⠀⠀⠠⠂⠀⠀⠀⣠⠏⠀⢀⡖⢾⡏⠀⠀⠀⠀⠀⠐⠒⠂⠎⠀⠀⠀⠀⠀⠀⠀⠀⢀⣙⣶⣶⣤⣀⠀⠈⠢⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⣴⡾⠛⣆⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠘⠊⠀⠀⠀⣠⠞⠁⢀⣠⠞⢧⣾⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣶⣶⣾⣿⣿⣿⣷⣦⣀⠀⠀⢀⡰⠋⢀⣴⣿⠟⠁⠀⢿⢻⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⡾⣷⡠⠖⠋⠀⠀⠀⣠⣼⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣛⠉⠛⠛⠉⠛⠛⠻⠛⠷⢶⣿⣴⣾⡿⠋⠁⠀⠀⣇⠘⠞⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⡀⠀⠀⢀⣤⣾⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣖⣿⣿⣿⣯⣤⣤⣀⠀⠀⠀⠠⠀⠘⠦⠙⢹⣿⠴⠊⠀⠀⠀⢸⣤⠞⢁⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣠⣾⣿⣿⣿⣿⠟⠛⣿⠀⢀⣀⠀⠀⠀⠀⣠⠖⣻⣿⣿⣿⣿⣿⡟⣏⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠿⣦⡀⠀⠀⠀⠈⣿⣴⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⠁⠀⠀⠀⠙⣎⣠⣷⣾⣷⣿⣿⣿⣷⣼⣡⡶⣫⣿⣿⣿⣿⣿⣿⣭⣾⣾⣤⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⡀⠱⡀⠛⠁⢀⣴⣶⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⣀⣀⣀⣼⣿⣿⣿⡟⢹⣿⣿⣿⣿⣿⣿⡿⢋⡿⠹⠿⠛⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⣀⣴⠋⠀⣼⡇⠻⣿⣷⡀⠱⡀⠀⠀⡇⠹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⣀⠤⢤⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⣿⣿⡟⢻⣿⣿⣟⠀⣸⣷⡄⢠⡾⠛⣿⣿⣿⣧⢀⣠⡄⠀⣰⣿⠁⠀⢠⡿⠁⠀⢹⣿⣷⡀⠛⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠁⠀⢀⣿⣿⣿⣿⣿⣿⣿⢿⣹⣏⠀⠀⡏⢿⣇⢈⡿⠉⠉⠛⣿⣿⣿⣿⠁⠀⠿⣻⣿⣿⣿⣿⣷⣸⡿⠁⠀⢠⣿⠁⡄⢠⢸⣿⣿⣷⠀⠀⠀⠈⠋⠀ ⠀⠀⠀⠀⠀⠀⡔⠋⠃⠀⠀⢠⣿⣿⣿⣿⣿⡿⣿⡇⡄⡿⢻⣷⡶⢷⣾⣿⣿⣧⡀⠀⠠⣿⣿⢷⣿⣷⣦⣾⢿⣿⣿⣿⣿⣿⣟⣡⣀⣴⡿⠃⣼⡇⢸⢸⣿⣿⣿⣆⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⣀⣼⣿⣿⢻⣿⣿⡇⢿⣇⣿⠃⡾⠁⠀⠀⠀⠈⠻⣷⣝⢆⠀⢹⡃⡿⠙⣿⣿⣿⣀⣀⣵⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣠⣿⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀ ⠉⠐⠐⠶⠦⠤⠤⢶⣿⡿⠹⢻⣿⣿⢸⡿⣿⣿⡘⣿⣿⣀⡃⠀⠀⠀⣠⣶⡶⣌⣿⡜⣆⠀⣿⡇⢠⡟⢻⣿⣿⣿⡟⡡⠛⢿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠿⠋⠀⠠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠰⢿⣿⠀⢳⠘⠿⣷⣽⣏⢙⣭⣄⡀⠀⠸⣟⣻⡾⠘⣿⡻⠀⡿⢷⡼⠀⣠⣿⣿⣿⣿⣷⣴⣟⠁⠀⠸⢿⣿⣿⣿⣿⣟⣯⣼⡶⠀⠀⠀⠀⠀⠀⠀ ⣷⠂⠀⠀⠀⠀⢀⣿⣿⣷⠀⢠⡟⠙⣆⠈⠃⠀⠈⠛⢿⡋⠙⠳⣝⢦⡀⠈⠁⠀⠀⡇⠃⠀⠇⢸⣇⡴⢫⡟⢐⣿⣿⣿⣿⣗⠀⠀⠀⠘⣽⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠈⠈⣿⣿⣷⡟⠀⠀⠙⡄⣠⡧⠀⠀⠀⠉⠀⠀⠉⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⢁⣞⣠⡾⠛⣵⣿⣿⣿⣿⢞⣤⣾⢿⣿⠋⠉⢹⣿⣿⠀⠀⠀⠁⠀⠀⠀⠀ ⡿⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡇⠀⠀⠀⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⢿⣋⡁⠀⠐⠋⠩⠿⢿⣿⣿⡿⢣⣿⡇⠀⠀⠈⣺⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⢸⢹⣿⣿⡇⠀⠀⣜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠶⣶⣶⡖⢂⣴⣿⢿⡏⣰⣿⣿⣯⣲⠃⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠃⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠶⠾⠷⣶⣬⣛⠻⣅⠀⣠⣿⣿⣿⣿⣿⣿⣣⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⢀⠞⠣⡀⢠⡾⣿⣳⡍⠻⣷⣌⢿⣼⣿⣿⣿⡿⠿⠿⠯⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠉⢩⣿⣿⣿⡄⠀⠀⠀⠀⠀⣴⡾⠿⠽⠿⣿⣿⣷⣝⠲⡀⠀⠀⠀⠀⠈⠠⢴⣞⠚⢷⣽⡿⠁⠀⠘⣿⣯⣿⣽⣿⣿⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡀⠀⠀⠀⠀⠀⠀⣸⡿⣿⣿⣷⠄⠀⠀⠐⣾⠁⠀⠀⠀⠀⠀⠹⣿⣿⣷⡇⠀⠀⠀⠀⠀⠀⠀⢫⢳⡘⣦⠀⠀⠀⠀⣹⡇⢇⣤⣾⣿⠀⠀⠉⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣧⠀⠀⠀⠀⠀⢀⡟⠁⢸⣿⣿⣇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠘⡎⠇⢸⠀⣀⣠⣴⣿⣷⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣧⠀⠀⠀⢀⡞⠁⠀⠀⢿⣿⣿⣆⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⣸⠇⠈⣠⣾⡋⢉⣙⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣤⣽⣿⣷⣦⣼⡇⠀⠀⠀⠘⣿⣿⣿⣇⠀⠈⠉⣄⣀⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣵⣋⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣟⣿⣙⠿⢿⣿⣶⣄⣀⣀⣹⣹⢿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠈⢙⣿⣿⡟⠛⠿⣷⣿⣿⣿⣿⣿⣿⡟⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣾⡏⠉⠛⠿⢿⣿⣶⣤⣀⣀⠀⠀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣭⣿⢿⣿⣿⣿⣿⣿⣿⢟⣿⠏⢀⡇⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣹⣿⣿⢿⣿⡿⣷⣶⠦⠤⣶⣤⣶⣾⣿⣿⣿⣿⡿⠿⢿⣿⠿⠿⠿⠛⢋⣴⠟⢁⠴⠻⠀⠀⠀⠈⠛⠲⢤⣄⡀⠀⡀⠀⠀⠀ ⠀⣀⣤⣾⣿⡿⠿⠛⠛⠋⢉⢩⣿⣷⣀⠀⠀⠀⢀⡿⠛⠹⣆⠀⠰⠏⠁⠀⠀⠀⢩⣿⣿⡿⠟⠻⣭⡀⠀⠀⠱⢤⣴⠶⠚⠋⠁⠀⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀ ⠾⣛⣋⣩⡤⠒⠒⣲⣷⣾⡏⠀⣿⣿⣏⢉⣽⠊⠉⡀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣖⠒⠒⠈⠁⠀⠀⠀⠀⢨⣣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠀⠀⠀⣸⣿⣿⣿⣿⣆⠘⣿⣿⠉⠀⠁⠀⠁⠀⠀⠀⠀⠻⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠸⣿⡝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⢠⣿⣿⠛⣿⣿⣿⣿⠟⠛⢛⠷⣶⣤⣤⣀⣀⠀⠀⠀⠀⠻⢷⣄⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠖⠛⠉⠀⠀⠀⠀⢠⠇⢰⢿⠙⣆⠉⠳⠦⣤⣀⣀⣀⣀⣀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⢹⣿⣭⢂⡀⢸⡆⠸⣿⣯⣛⢿⣿⣿⣷⣶⣦⣤⣽⡳⠶⠶⠒⠚⠛⢻⣀⡀⠀⠀⠀⠀⠀⠀⠀⢿⠋⣠⠋⠈⣧⠈⠳⣄⡀⢀⠀⠀⠠⠀⠀⠀⠀⠀⢠

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⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀ ⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⢸⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⡼⠀⠀⠀⠀⠀ ⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣼⡇⠀⠀⠀⢸⠀⢀⡴⢊⣉⣀⠈⣉⠓⣤⡇⠀⠀⠀⠀⠀ ⠀⠸⡄⠀⠀⠀⣀⣀⢀⡞⠁⠀⠀⠙⣦⣀⣤⡼⠀⡞⢰⠋⠀⠈⠋⠉⠹⣸⡅⠀⠀⠀⠀⠀ ⠀⠀⣷⠀⡴⠋⠁⠈⠙⢀⣀⡀⠀⠀⡾⠀⠀⠀⠀⣇⠘⢦⡀⠀⠀⢀⡼⢱⠇⠀⠀⠀⠀⠀ ⠀⠀⠙⣷⡇⠀⠀⠀⣰⠋⠀⠉⢦⠈⠓⢦⠀⠀⠀⠘⢦⡀⠙⠦⠴⠋⣡⠞⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠸⣿⣦⣤⠀⠹⡀⠀⢀⡼⠀⠀⢨⡇⠀⠀⠀⠀⠉⠓⠒⠒⠋⠁⠀⠁⢹⣄⠀⠀⠀ ⠀⠀⠀⣠⠞⢸⠃⠀⠀⠈⠉⢉⣄⣀⡠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣧⠀⠀ ⠀⠀⡰⠋⠀⠘⣆⠀⠀⠀⠀⡼⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀ ⠀⣸⠁⠀⠀⠀⠈⠙⠒⠒⠋⠀⠀⠀⠀⠀⢀⣠⠴⠒⠚⠉⠉⠉⠉⠓⠲⢤⣀⠀⠀⠀⠸⡆ ⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠀⣷ ⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⢹ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⡤⠀⣇⡼ ⢿⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⣠⡴⠞⠛⠳⠆⠀⠀⠀⠀⠀⣤⡤⠀⠙⠁⠀⠀⠀⣼⠇ ⠘⣇⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢀⡀⠀⠀⠀⠀⠀⢀⡟⠀ ⠀⠚⣆⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⣠⠞⠀⠀ ⠀⠀⠘⢷⣄⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⣸⠗⠦⢤⣀⡈⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣖⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⠁⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⢈⡹⠟⠓⠒⠒⠋⠉⠁⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠋⠙⠦⢤⣀⣀⣀⣀⡠⠤⠤⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀⠀⠀⠀
⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛🟥🟥🟥🟥⬛⬛🟥⬛⬛🟥⬛⬛🟥🟥🟥🟥⬛ ⬛🟥⬛⬛⬛⬛⬛🟥⬛⬛🟥⬛⬛🟥⬛⬛⬛⬛ ⬛🟥🟥🟥🟥⬛⬛🟥⬛⬛🟥⬛⬛🟥🟥🟥🟥⬛ ⬛⬛⬛⬛🟥⬛⬛🟥⬛⬛🟥⬛⬛⬛⬛⬛🟥⬛ ⬛⬛⬛⬛🟥⬛⬛🟥⬛⬛🟥⬛⬛⬛⬛⬛🟥⬛ ⬛🟥🟥🟥🟥⬛⬛🟥🟥🟥🟥⬛⬛🟥🟥🟥🟥⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛
🟥🟥🟥🟥🟥🟥🟥 🟥🟥🟥🟥🟥🟥🟥                       ⬜⬜ 🟥🟥🟥🟥                                  ⬜⬜⬜⬜ 🟥🟥🟥🟥🟥🟥🟥                      🟨🟨 🟥🟥🟥🟥🟥🟥🟥                🟥🟨🟨 🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥 🟥🟥🟥🟥🟥🟥🟥 🟥🟥🟥🟥🟥🟥🟥 🟥🟥                 🟥🟥 🟥🟥                 🟥🟥 🟥🟥                 🟥🟥
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠒⠙⠒⠒⠲⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⢦⣀⣠⠴⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⢡⢈⣉⣦⠀⠀⠀⠀⠀⠀⠀⠀⢀⣢⢤⣄⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⣠⢾⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⣾⡆⢨⣉⣙⠳⣦⠀⠀⠢⡒⢊⣥⣶⣶⣤⠀⠀⠀⠐⣤⡘⣷⠀⠀⢀⡴⠁⣿⡿⠸⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠔⠛⠛⠻⠇⠀⠀⠀⠛⠉⠉⠉⠁⠉⠓⠀⠀⠀⠹⣷⣿⣷⡖⢉⣠⡴⠾⠷⠾⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⡀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠸⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⣰⣧⣄⣤⣶⣄⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡟⠉⠛⠛⠉⠉⠁⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣶⣶⢶⣶⣤⣀⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⡜⢀⣤⣤⣤⣤⣀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠏⠉⠙⢿⣽⣿⣿⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠸⣿⡻⠈⠈⠟⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⡀⠀⢠⣽⣿⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠐⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⣉⣲⣼⣿⠛⢷⡶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢀⡞⠁⠀⠙⠃⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣵⠀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⣸⡇⠀⠀⠀⢀⣸⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣾⢻⡄⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠋⠙⢻⣶⡶⢾⣿⣯⣜⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡎⣠⢾⣿⣾⣷⡀⠘⠦⡀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⣠⣿⣿⣿⣿⣿⣏⣽⣧ ⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠁⢸⣁⣿⣿⣷⠀⢀⡀⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⢀⡼⣿⣿⣿⡿⠿⠿⢿⡃⣿ ⠀⣾⠀⠀⢀⠔⠁⠀⡰⠀⣰⣿⠏⠀⠀⣼⣟⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠁⠀⠀⣰⠟⢹⣿⣿⠋⠀⠀⠀⠀⠙⣿ ⠃⣿⣠⠞⠁⠀⠀⢰⠃⢰⡷⡟⠀⠀⠀⢾⣿⣿⣿⠙⣿⣿⣶⣶⡶⠦⣄⣀⠀⠀⠀⠚⠉⠀⠀⣀⣤⠾⢉⣷⣿⣿⡏⠀⠀⠀⠀⠀⠀⢸ ⠠⡟⢡⠀⢸⠀⣠⠃⢀⡜⢱⠁⠀⠀⠀⢸⣧⣿⣷⣤⣿⣿⣿⣿⣷⣤⣀⢺⡟⠷⢤⡤⠀⠂⠈⠉⠀⣤⣿⣿⣿⣿⣿⣿⣦⣀⠀⣀⡀⠀ ⠀⡇⢸⡔⣿⣀⡟⢀⡾⢡⠇⠀⠀⠀⠀⠀⢿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣔⡜⠁⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡉⠀⠀ ⠎⢧⡾⠀⣿⡿⠀⡾⢑⡏⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⡿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀
░██████╗██╗░░░██╗░██████╗ ██╔════╝██║░░░██║██╔════╝ ╚█████╗░██║░░░██║╚█████╗░ ░╚═══██╗██║░░░██║░╚═══██╗ ██████╔╝╚██████╔╝██████╔╝ ╚═════╝░░╚═════╝░╚═════╝░
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