⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠔⠒⠒⠒⠂⢄⡀⠀⠀⠀⠀⠀⢀⡤⠒⠒⢤⡀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠉⠑⠢⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠏⢠⣀⠤⠀⠀⠀⠀⠱⡄⠀⠀⠀⡠⠃⠀⠀⠀⠩⡞⣄⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⡎⠀⢸⣀⡀⡝⠀⠀⠀⠀⠱⣀⠀⡰⠁⠀⠀⠀⠀⠀⠘⡌⢆⣀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠁⠀⢀⠤⠔⠒⠒⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠒⢆⠀⠀⠀⣔⡆⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣲⣼⠆⣠⠐⠁⠈⠒⡹⠀⢀⡃⠀⠀ ⠀⢀⡀⠀⠤⠃⠀⠀⠀⠀⠀⠀⠳⡰⠄⠀⠀⠀⣠⣠⠀⠀⠀⠀⠀⢠⣴⣦⠀⠀⠀⠀⡼⡱⠁⠀⠀⡳⣠⠄⡀⢇⠀⠌⠀⠀⠀ ⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⡀⠀⠐⣿⣩⢧⠀⣀⡀⢰⡯⢦⡿⠀⠀⠀⠀⢴⠁⠀⠀⠀⠉⠁⠀⠈⠁⠀⠈⠁⠒⣄ ⠈⠢⡀⠀⠀⠀⠀⢀⠤⠒⠒⠤⣀⣀⢼⠁⠀⠀⠈⠐⠋⠀⢻⡊⠀⠉⠋⠀⠀⠀⠀⠀⠸⠄⣀⡠⠔⠉⠱⡀⠀⠀⠀⠀⠀⠀⢨ ⠀⠀⠈⠉⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⡇⠀⠀⠀⠀⠀⢈⠢⠄⣀⣀⣀⠤⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⢄⢀⡀⠄⡀⠤⠚⠉⠉⠁⠒⠤⣀⠀⠀⠀⣬⡇⡷⣢⠄⣀⣠⠂⠋⠃⡠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠀⠊⠀⠀⠈⠉⠩⠡⠀⠼⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠚⠉⠉⠉⠙⠓⠶⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠤⢤⣀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⠶⣶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠒⠲⠦⣄⠀⠀⠀⠀⢀⡼⠋⠀⠀⢳⣯⢧⡀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣤⣠⣽⡆⠀⠀ ⠀⠀⠀⠀⠀⣰⠋⡀⣠⡄⠀⠀⠀⠘⢧⡀⠀⠀⡾⠁⠀⠀⠀⠀⠘⣦⡹⣄⣀⣠⠞⣁⢀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠘⠻⡆⠀⠀⠀ ⠀⠀⠀⠀⢰⠃⠘⡯⠉⢙⡶⠀⠀⠀⠈⢧⡀⣰⠃⠀⠀⠀⠀⠀⠀⠈⠉⠰⠛⠋⠉⠍⡉⠉⠙⢲⡀⠀⠀⢰⡿⢧⣠⣤⡀⢀⡇⠀⠀⠀ ⠀⠀⠀⠀⢿⠀⠘⠗⠓⠾⠃⠀⢀⣠⡤⠴⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⣾⠇⠰⣞⡋⠀⠀⠀⡟⠁⢸⡃⡀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠄⢀⠞⡞⠀⡆⠄⡟⣠⠖⠦⣽⠀⣾⢉⣯⣀⠀ ⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⠀⢧⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⡿⣷⡂⡇⠀⠀⢈⣼⠁⠁⠁⠁⠉⠁⠀⠀⠀⠀⠈⠋⠀⠈⢳ ⢀⣠⡤⠴⠋⠀⠀⠀⠀⠀⠀⠈⠷⡳⣀⠀⠀⠀⣾⢟⣶⡀⠀⣀⡀⠀⡯⠵⡾⠁⠀⠀⠀⠈⢧⠀⠀⠀⡴⠚⠳⣄⠀⠀⠀⠀⠀⠀⠀⢸ ⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠙⣮⡀⠀⠀⠹⣖⣃⠇⠘⠯⠟⠀⠙⠛⠁⠀⠀⠀⠀⠀⠘⡟⠛⠋⠀⠀⠀⠈⠳⣄⣀⣀⣀⣀⡴⠏ ⠳⣄⡀⠀⠀⠀⢀⣤⠞⠉⠙⠲⠶⠞⢙⡇⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⢨⣇⢹⡀⠀⠀⠀⢀⣠⠞⠹⢬⡍⠉⠁⠀⠀ ⠀⠀⠉⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣤⣤⠤⠤⢤⣀⣀⠀⠀⠀⢠⣽⢸⠿⠿⢶⡶⠾⡄⢀⡀⢮⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⢀⣤⣠⠖⣠⡴⠚⠉⠀⠀⠀⠀⠀⠉⠙⠒⠲⠴⠗⠋⠀⠀⠀⠀⠀⠓⠋⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⠭⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠒⠒⠒⠒⠦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠶⠲⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠁⠀⠀⠀⠀⠉⠑⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⢀⡀⠀⠀⠀⠀⠙⢇⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠘⡣⣳⣀⠀⠀⠀⠀⠀⢀⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⢶⠒⠑⠧⢤⠀⠀⠀⠀⠈⣇⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠈⣇⡹⣄⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠎⠤⣄⢸⠁⠀⠀⠀⠀⠀⠘⢧⣀⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠈⠶⠙⢦⣤⣴⣊⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠁⠀⠈⠉⠀⠀⠀⣠⠤⠖⠒⠒⠹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠈⠈⠉⠉⠙⠶⡄⠀⠀⠀⠀⡖⣆⠀⠀⠀⠀⠄⢸⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⡄⢹⠀⠀⣀⡴⠁⠘⠦⠴⢶⠀⠀⢸⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡯⣣⠋⠀⠘⢢⡀⠀⠀⠀⢰⠃⠀⢀⠇⠀⠀⠀⠀ ⠀⠀⡠⠤⠡⠒⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⢗⠀⠀⠀⠀⢀⣶⣦⡄⠀⠀⠀⠀⠀⠀⣶⢿⢻⣦⠀⠀⠀⠀⠀⠾⣰⠃⠀⠀⠀⢠⣃⡴⠒⠤⣌⡇⠀⠸⡀⠀⠀⠀⠀ ⠀⡎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡁⠀⠀⠀⢺⣗⣨⠿⡆⠀⣀⣂⠀⢸⡷⢤⣾⠏⠀⠀⠀⠀⠀⣶⠃⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⢢⡀ ⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠬⠦⢄⡀⠀⠀⠀⣷⠀⠀⠀⠀⠛⠢⠸⠃⠘⠯⡼⠃⠀⠓⠶⠃⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⡠⠖⠒⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠈⠒⠤⠤⡤⠤⠤⠔⠊⠁⠀⠀⠀⠈⠉⠉⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡏⠉⠉⠉⠀⠀⠀⠀⠫⣀⠀⠀⠀⠀⠀⠀⠀⣰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡄⣳⠀⠀⠀⠀⠀⠀⠀⢀⢌⠑⠒⠤⠤⠤⠒⠊⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢆⢄⣀⡠⠀⣀⠤⠒⠉⠉⠈⠉⠉⠑⠲⢤⣀⠀⠀⠀⢠⣦⡇⡽⢕⣢⢄⣀⣀⣔⠒⠉⠘⢒⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⠯⠗⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠦⠤⠭⠔⠁⠀⠀⠉⠉⠉⢹⣀⠤⡀⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠊⠉⠉⠉⠑⠒⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⠦⢴⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠤⠤⢤⡀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠐⢬⡳⡀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣅⠀⣈⣳⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠋⠀⢀⡀⠀⠀⠀⠈⠢⡀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠈⢡⡘⢆⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⢧⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⠀⠰⡒⠊⠧⣤⠀⠀⠀⠀⢳⡀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠑⠀⠹⠾⠕⠒⠒⠒⠒⠒⠤⡀⠀⠀⠀⢠⠶⣄⠀⢀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⢐⡇⠀⢴⡥⢤⣸⠁⠀⠀⠀⠀⣀⡵⢶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢱⠀⢀⠤⠜⠀⠈⠉⣩⠇⠀⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢀⡴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢃⡆⠀⠈⠑⡦⠀⣀⣀⠹⡀⢀⡷⢶⡄⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⡀⠀⠀⠀⠀⠀⠂⡜⠀⠀⠀⠀⠧⠊⠀⠈⠙⠁⠈⢷⠞⠓⠢⣄ ⠀⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⠸⣄⢠⡀⠀⠀⠀⠀⡠⣄⡀⠀⠀⠀⠀⠀⢸⠍⢉⡺⠀⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢠⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⡑⠄⠀⠀⠠⣏⢀⡝⠆⠀⡤⢤⡀⠸⣉⡡⠃⠀⠀⠀⠀⠀⠈⣦⣀⣀⠠⠋⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⡼ ⠇⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣄⠀⠀⠀⡸⣦⠀⠀⠀⠈⠛⠒⠃⠀⠁⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠸⡀⠀⠀⠀⠀⠀⠀⢈⢲⠤⠤⠤⠤⠐⠊⠀ ⠘⠢⢄⣀⣀⣀⣀⡤⠚⠁⠀⠀⠉⠛⠉⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⠀⡧⣀⡀⠀⠀⢠⠀⠊⠀⢓⡢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀⣰⠶⠒⠒⠒⠢⠤⣀⡀⠀⠀⠐⠴⢃⡟⠒⠛⠛⠙⠛⡆⣠⣄⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⢀⣤⠤⢂⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠒⠒⠉⠀⠀⠀⠀⠀⠀⠉⠁⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⠔⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⡀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠉⠢⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠤⠀⠒⠄⠤⡀⠀⠀⠀⢠⠊⠀⠀⠉⢎⢢⡀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠻⣆⠀⠀ ⠀⠀⠀⡰⢡⠤⣶⣀⠀⠀⠈⢦⠀⢀⠆⠀⠀⠀⠀⠈⠃⢑⠶⠎⠱⠀⠤⠤⡀⠀⠀⠀⢀⠀⠀⠙⠋⡇⠀⠀ ⠀⠀⢰⠁⠸⠷⢴⡏⠀⠀⣀⠤⠵⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢼⠂⣀⣠⠞⢧⠤⡄⠀⡇⠀⠀ ⠀⠀⠸⡄⠀⠀⠈⠁⢠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡜⠀⠛⣭⡐⠌⣴⠃⢰⠁⠀⠀ ⠀⠀⠀⠇⠀⠀⠀⠀⢸⡀⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢰⠞⣷⠀⠀⠀⢈⡜⠀⠀⠐⠗⠋⠛⠿⠀⠧⣀⡀⠀ ⠀⣀⠤⠃⠀⠀⠀⠀⠀⠙⢳⡀⠀⠀⢟⣹⢳⠀⡤⡄⠸⡩⠇⠀⠀⠀⠀⢣⣀⣀⠔⠢⡀⠀⠀⠀⠀⠀⠈⠃ ⡇⠀⠀⠀⠀⠀⢀⠤⠤⣀⠤⢻⠀⠀⠀⠉⠁⠀⠸⠀⠀⠀⠀⠀⠀⠀⢐⡜⡄⠀⠀⠀⠘⢄⡀⠀⠀⠀⡠⠂ ⠑⣤⣤⣤⣤⡔⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⠀⠀⠀⠀⢠⡇⡝⢳⡄⣴⠒⠁⠃⡍⠉⠁⠀⠀ ⠀⠀⠀⢠⡷⣆⠀⠀⠀⠀⠀⠸⡀⣀⡠⢄⡠⠒⠉⠀⠀⠀⠉⠁⠒⠢⠬⠔⠁⠀⠉⠹⠡⢄⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠑⠒⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀