⡁⠀⠀⠀⠀⠀⠉⢇⠀⠀⠀⠀⠀⡏⠁⠀⠀⠀⠀⠉⡇⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠈⢹⠃⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠈⠉ ⢇⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⢰ ⠈⡄⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⢀⠇ ⠀⠰⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⡌⠀ ⠀⠀⠆⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⢠⠀⠀ ⠀⠀⠘⡄⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠌⠀⠀ ⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⡆⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⡘⠀⠀⠀ ⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢠⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀ ⡀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⡆⠀⠀⠀⢸⠀⠀⠀⠀⠀⡄⠀⠀⠀⠸⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⠇⠀⠀⠀⢀ ⠉⡄⠀⠀⠀⠸⡄⠀⠀⠀⠀⢱⠀⠀⠀⠀⡆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢀⠀⠀⠀⠀⠀⡎⠀⠀⠀⢀⠾ ⠀⠘⡄⠀⠀⠀⢱⠀⠀⠀⠀⠈⡄⠀⠀⠀⢇⠀⠀⠀⠀⡇⠀⠀⠀⡀⠀⠀⠀⢀⠃⠀⠀⠀⡎⠀⠀⠀⠀⡸⠀⠀⠀⠀⡎⠀ ⠀⠀⠱⡀⠀⠀⠀⢇⠀⠀⠀⠀⢱⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀⢸⠀⠀⠀⢰⠁⠀⠀⠀⢠⠃⠀⠀⠀⡜⠀⠀ ⠀⠀⠀⠱⡀⠀⠀⠈⡆⠀⠀⠀⠈⡆⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡞⠀⠀⠀⡌⠀⠀⠀⢀⠆⠀⠀⠀⡼⠁⠀⠀ ⠀⠀⠀⠀⢱⠀⠀⠀⠸⡄⠀⠀⠀⢡⠀⠀⠀⠃⠀⠀⠀⢠⠀⠀⠀⡇⠀⠀⠀⠇⠀⠀⢠⠁⠀⠀⠀⡜⠀⠀⠀⡰⠁⠀⠀⠀ ⢧⠀⠀⠀⠀⢣⠀⠀⠀⢱⠀⠀⠀⠈⡆⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⡞⠀⠀⠀⠰⠁⠀⠀⡰⠁⠀⠀⠀⢠ ⠀⢣⠀⠀⠀⠀⢣⠀⠀⠈⢇⠀⠀⠀⢱⠀⠀⠘⡀⠀⠀⢸⠀⠀⠀⠂⠀⠀⡘⠀⠀⢰⠁⠀⠀⢀⠇⠀⠀⣰⠃⠀⠀⠀⣠⠃ ⠀⠀⠳⠀⠀⠀⠀⢣⠀⠀⠸⡀⠀⠀⠈⡆⠀⠀⠃⠀⠀⢸⠀⠀⢸⠀⠀⠀⡇⠀⠀⡜⠀⠀⠀⡜⠀⠀⢠⠃⠀⠀⠀⡰⠁⠀ ⣄⠀⠀⠱⡀⠀⠀⠀⢣⠀⠀⢳⠀⠀⠀⢳⠀⠀⢣⠀⠀⢸⠀⠀⢸⠀⠀⢠⠁⠀⢠⠃⠀⠀⢠⠁⠀⢠⠃⠀⠀⠀⡴⠁⠀⢀ ⠛⢂⠀⠀⠘⡄⠀⠀⠀⢇⠀⠈⢆⠀⠀⠈⡄⠀⠰⠀⠀⠘⠀⠀⢸⠀⠀⢸⠀⠀⡜⠀⠀⢀⠇⠀⢠⠃⠀⠀⢀⡜⠀⠀⢀⠞ ⡄⠀⠣⡀⠀⠈⢆⠀⠀⠈⠆⠀⠘⡄⠀⠀⢳⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⡆⠀⢠⠋⠀⠀⡜⠀⢀⠎⠀⠀⢀⠎⠀⠀⡠⠃⠀ ⣇⠀⠀⠙⢄⠀⠈⢣⠀⠀⠘⡄⠀⠱⡀⠀⠈⡄⠀⡆⠀⠀⡇⠀⠈⠀⠀⠆⠀⡜⠀⠀⣰⠁⠀⡌⠀⠀⢠⠋⠀⢀⡜⠁⠀⠀ ⠈⢢⡀⠀⠈⢢⡀⠀⠳⡀⠀⠘⡄⠀⢣⠀⠀⢷⠀⠁⠀⠀⡇⠀⠀⠀⢀⠀⢀⠁⠀⢠⠃⠀⡜⠀⠀⡠⠃⠀⣠⠊⠀⠀⢀⠞ ⡀⠀⠑⢄⠀⠀⠑⣄⠀⠱⡄⠀⠹⡀⠈⣆⠀⠈⡄⢸⠀⠀⠇⠀⡇⠀⢰⠀⡼⠀⠀⡎⠀⡰⠁⠀⡰⠁⢀⡴⠁⠀⠀⡐⠁⠀ ⡟⠢⡀⠀⠳⣄⠀⠈⢢⡀⠘⡄⠀⠹⡀⠘⡄⠀⢣⠈⡆⠀⠀⠀⡇⠀⡈⢀⠃⠀⡼⠀⡰⠁⠀⡜⠁⢠⠎⠀⠀⡠⠊⠀⣀⠼ ⡇⠀⠈⠢⡀⠈⠢⡀⠀⠑⡄⠘⢄⠀⠱⡀⢱⠀⠘⠀⠇⠀⢠⠀⡇⠀⡇⡘⠀⢰⠁⡰⠁⠀⡜⠀⡰⠃⠀⡠⠎⠀⣠⠞⠁⠀ ⠑⢤⡀⠀⠈⠲⣄⠈⠢⡀⠈⢆⠈⢦⠀⠱⡀⢣⠀⡇⢸⠀⢸⠀⡇⢸⠀⠀⢀⠇⢰⠃⢀⠎⢀⠞⠀⢀⠜⠀⡠⠞⠁⠀⣠⠜ ⣄⡀⠈⠲⢄⠀⠈⠑⢄⠉⢄⠀⠳⡀⢣⡀⠱⡈⡆⢸⠈⡄⢸⠀⠁⠸⢰⠀⡌⢠⠃⢠⠋⡠⠋⢀⠔⠁⡠⠊⠀⢀⠴⠊⠀⣠ ⡇⠈⠒⢄⡀⠙⠢⣀⠀⠑⢄⠑⢄⠘⢆⠱⡄⠳⠸⠈⡇⡇⢸⢰⠀⡇⡞⠸⢠⠃⡰⢃⡜⠁⡠⠋⡤⠊⢀⡠⠚⠁⣀⠔⠊⠀ ⠳⢄⡀⠀⠈⠓⠤⡈⠑⢤⡈⠓⢌⠳⣄⠳⡘⡄⢣⣇⢸⢰⢸⢸⢀⢧⢃⢣⠃⡴⣡⠊⡠⠊⡠⠊⣀⠔⠋⣠⠔⠋⠀⢀⡠⠜ ⡤⣀⠈⠑⠢⢄⣀⠈⠑⠦⣈⠢⣄⠑⢌⠢⡘⢜⣆⢞⡄⡾⡄⣸⢸⡜⣸⠏⣜⡔⢡⢞⡥⢋⡠⢊⡠⠖⠉⢀⡠⠔⠊⠁⣀⣠ ⣇⠀⠉⠑⠒⠤⣀⡉⠒⠤⣀⠑⠢⣑⢦⡑⢼⣮⣻⣼⣿⣰⡇⣿⣮⢷⣿⣾⢏⢔⠵⣫⢔⡡⠔⢉⡠⠔⠊⣁⠠⠔⠒⠉⠀⢀ ⠉⠐⠂⠠⠤⢀⡀⠈⠁⠒⠠⢉⠒⠤⣙⠺⢶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡮⢓⣩⠔⣊⠥⠔⠊⠉⢀⡀⠠⠄⠒⠂⠉ ⡏⠀⠀⠀⠒⠂⠀⠨⠥⠁⢀⣐⠀⡡⠌⣛⣺⣿⣿⣿⣿⠟⠋⠉⠛⢿⣿⣿⣿⢿⣛⡋⠬⡀⢐⡀⠀⠤⠍⠀⠐⠂⠀⠀⠀⠸ ⠓⠒⠒⠒⠒⠒⠒⠂⠀⠀⠠⠤⠤⠭⠭⠭⠵⢿⣿⣿⡇⠀⠀⠀⠀⠀⢹⣿⡿⠷⠭⠭⠭⠤⠤⠤⠤⠀⠀⠐⠒⠒⠒⠒⠒⠒ ⣶⣒⣒⣂⣀⣀⣈⣉⣉⣉⣉⣉⡩⠥⣤⣒⣶⣶⣿⣿⣀⣀⣀⣀⣀⣀⣘⣿⣷⣶⣶⣂⣤⠭⠍⣉⣉⣉⣉⣉⣁⣀⣀⣒⣒⣶