Poco Gose Loco Emojis & Text

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣷⣶⣶⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣀⣀⣀⣀⣠⡤⣤⣤⣤⡾⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠓⠛⠻⠿⠿⢿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⢀⣀⣀⣀⣀⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠶⠶⣶⣦⣤⣄⠀ ⠀⠙⠿⠿⠿⣿⣟⠃⢸⣿⣿⣿⣿⡿⠿⠀⣿⣾⣷⣶⣶⣤⣤⠄⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠃ ⠀⠀⠀⠈⠀⠛⠻⢿⠋⠛⠛⠻⠟⠦⢤⢤⠿⡿⣿⢿⣿⣉⣉⣠⣿⣿⣿⣿⣿⡶⡶⣠⣤⣤⣤⣤⡤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⣠⣤⡀⠀⠀⣤⣠⡄⠀⢁⣽⣥⡉⠊⠍⠉⢩⠖⠺⠿⠟⠛⠋⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣠⣾⣿⣿⣷⡶⡄⠻⠟⠃⣴⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢹⣿⡇⠀⣿⣿⡃⠀⠀⠀⣿⣿⠁⠀⣿⣟⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠸⢿⣷⣶⣿⣯⠃⠰⠿⠄⠻⢿⣷⣾⡿⠏⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠈⠛⠋⣾⢻⣶⣶⣾⠻⣦⠛⠋⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠻⢾⣷⣤⣿⠾⠃⠀⠀⠀⡠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡟⠓⠻⠋⢿⣽⣿⢿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⣿⢿⣿⣄⣀⡀⠀⠀⠀⣀⣹⣿⣿⠙⠻⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡟⠘⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⡇⠀⣽⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣯⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠋⠀⠈⠉⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠄⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠙⡶⠁⠀⠀⠀⣧⠔⠒⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⡇⠀⠀⠀⠀⡏⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡔⠒⡶⠚⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠼⠒⠛⠒⠒⠤⢼⣀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⢧⡞⣹⠿⣹⣿⡖⢲⡄⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⡘⠀⠀⠀⠀⠉⢲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣿⣍⡥⢿⢿⡋⢙⠋⣇⠀⢠⡟⢁⣴⠾⠷⢦⡀⢰⠁⠀⢀⣀⣀⠀⠈⢻⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠸⢿⣾⠉⡹⢥⠀⢱⡜⢠⣿⣯⡟⠀⢸⠁⠀⠀⢈⠇⡜⠀⡼⠋⠉⠻⣷⠀⠈⣇⢗⢲⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣷⡷⠮⠴⠯⠀⢀⡽⣿⠃⠀⠘⠒⠒⠒⠋⠀⠀⠀⠧⠤⣄⣀⡹⠀⠀⢸⢸⡉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⡄⠀⠀⠀⡎⠀⣿⠀⠀⠀⢰⠿⠻⢵⣢⣤⣤⣤⣤⠀⠀⠀⠀⠀⢸⢀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠢⣄⡀⡅⢸⡇⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⣹⠃⠀⠀⢀⣠⣴⣾⢧⡀⢀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⣧⠀⠀⠀⠀⠘⠦⢀⣀⣀⡠⠞⠁⠀⠀⢠⢋⢴⠟⠉⠉⢹⣋⣷⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢸⠸⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢇⢸⢈⠀⠀⠀⠀⠀⠈⢻⡁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠸⡀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⢸⠘⡀⢇⠀⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⣧⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⡆⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣐⣿⣆⡀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⣀⣠⣼⠃⠸⢀⡇⠐⡆⠀⢀⢀⠸⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⡗⠪⠷⠒⢶⣶⣶⣦⣈⣀⣾⠟⠛⠉⠉⠲⠗⢺⠳⢴⣃⣠⢏⣼⣰⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠤⠄⣀⣀⣀⣀⡬⠿⠿⠧⣄⣀⣀⣀⠠⠤⢻⠀⠀⠀⠈⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠓⠀⠀⠀⠀⠀⣹⠄⠀⠀⠀⢻⠂⠀⠀⠀⠀⠛⠳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠢⠤⠤⠤⠐⠚⠁⠀⠀⠀⠀⠈⠑⠒⠤⠤⠤⠴⠚⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠲⠲⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⢤⣸⡄⠀⠆⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠙⠊⠀⠙⢢⡤⠄⡄⢱⡄⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⢀⣀⣠⣤⣿⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠏⠛⠈⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⢀⣤⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠱⣤⣀⠀⠀⠀⣠⣻⠏⠀⠀⠀⠀⢻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⠖⢉⡓⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⠀⠀⠀⠀⠀⣀⣀⡠⢤⣤⢄⠀⠀⡴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢋⣩⡴⠟⠛⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣴⣶⣽⠟⠿⠉⠋⠉⠀⠻⣷⡴⠁⡜⠉⠛⢿⣿⣿⠿⠛⢋⣩⡴⠾⠛⠉⠀⠀⠀⠀⠈⠑⠦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣠⡊⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣴⣽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⢀⡠⠔⠋⢀⣠⠶⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠋⢿⡀⠀⣏⢿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⢈⢄⠀⠀⠀⠀⠀⠀⠀⣀⡠⢒⣉⠴⠂⠉⣀⡴⠞⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠀⠀ ⠀⠀⠀⠀⣰⠁⠈⢾⣧⡀⣘⣄⠈⢯⡉⢉⣿⠋⠉⠀⠀⠀⠀⠁⠉⠖⠢⠄⠔⢒⡩⠵⠂⠉⣀⣤⠶⠋⠁⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀ ⠀⠀⠀⠀⢧⣤⣤⡤⠛⢉⢄⡮⣦⣄⠈⠙⠣⢄⣠⠞⠉⠉⢩⢩⡷⠤⠤⠒⠊⠁⣠⣤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀ ⠀⠀⠀⠀⢸⡧⣿⣶⣨⠒⣁⠀⡇⣨⣿⠶⣤⣤⣿⠤⡤⡄⢸⢸⣇⣤⣤⡴⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀ ⠀⣀⣄⣰⠋⢠⣺⠞⠀⠀⠀⠀⣧⢼⣿⣀⠖⢹⡇⢸⢸⡝⠉⠉⢀⢔⣋⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⢵⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀ ⠀⢿⡀⠈⠳⣵⠁⡠⢄⠀⠀⢀⣸⣴⣇⠇⠀⠈⢧⣼⣾⣁⡀⠀⡈⡞⠛⣌⣀⣀⣀⣀⣀⣀⣀⣀⠀⢀⣀⣀⣀⣼⣃⣀⣀⣀⣀⣀⣀⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢀⣼⡋⣶⣄⢈⡿⠀⠈⣷⠀⡏⣼⣿⣿⠀⠈⣿⣿⣿⣿⣿⡇⠀⡇⢸⣤⢿⣏⣉⣉⣉⣉⣉⣉⡉⣉⢉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢸⡆⠉⠉⠉⠁⢀⣠⣾⠏⠀⣿⣿⣿⣿⢠⠘⠛⡛⢛⣛⠛⠃⠀⠃⠀⣉⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣖⣄⡀⡀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇ ⠀⠉⢲⠲⣖⠊⠉⠉⠀⠀⠀⣿⣿⣿⣿⡾⠀⢸⡇⢸⢸⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣶⣶⣾⣷⣲⣖⡖⢺⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁ ⠀⠀⠈⢳⣽⣆⠀⠀⠀⠀⠀⣾⣿⣿⣿⣇⠀⠈⠳⠾⠞⠀⠀⢠⢰⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⣋⣉⣷⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⠙⢝⢢⡀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣛⡭⠔⠒⠋⠉⠀⠀⠈⡅⠈⠓⠒⢿⡀⠀⠀⠀⠀⣠⠇⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⢦⣄⣀⣀⣀⣉⣓⣭⣍⣉⡙⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⢀⠀⡇⠀⠀⠀⠀⠙⠒⠓⠒⠚⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣦⣨⡭⠙⢛⣿⠿⣟⡛⠉⠉⠉⠉⠉⢹⠀⠀⠘⠛⠛⢻⣇⠀⠀⠀⠀⠀⠀⠀⠄⢲⣎⠀⠀⢻⠓⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⢾⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⣻⠆⠀⠸⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠒⠒⠓⠒⠒⠒⠒⠒⠒⠂⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠛⠒⠲⠶⠦⠤⠤⠤⠤⠽⠭⠤⠼⠵⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠔⠂⠉⣉⣉⣉⢁⣀⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠠⣴⣶⡟⠂⣹⣿⣯⣀⣿⣟⢪⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠔⢉⣠⣶⣟⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠜⢁⣄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⡤⠤⢄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⢃⣴⣿⣧⣤⣿⣿⣿⣿⣿⣿⣿⠿⢟⡛⡛⠿⣿⣿⣿⣿⣿⣧⢐⣦⡀⣈⣢⣄⠀⠀⠀⠀ ⠀⢀⠎⢡⣦⠙⣿⣿⣿⣿⣿⣿⣿⠿⢉⣥⢠⣷⠿⣿⣶⠌⢿⣿⣿⡿⣿⣧⣟⠑⠿⠇⣿⡄⠀⠀⠀ ⠀⡜⢰⣿⣷⣶⣿⣿⣿⣿⣿⢟⣁⣠⣝⠋⠠⣟⣦⣸⡿⡷⠈⣿⡿⠁⠀⠉⡿⣷⣲⡚⡟⠁⠀⠀⠀ ⢰⣍⣶⣉⣿⣿⣿⣿⣿⣿⢁⣾⣿⠉⠻⣼⡀⡶⢍⠩⠊⢐⢠⡟⠁⠀⠀⠀⣽⣿⢳⣄⢸⠀⠀⠀⠀ ⢸⣜⣿⣿⣿⣿⣿⣿⣿⡷⡌⣟⣿⣷⣶⢿⢣⠪⡀⠡⡘⢀⡏⠀⠀⢀⣠⣾⣿⢻⣿⡻⣛⣆⠀⠀⠀ ⠈⣏⣿⣽⣿⣿⣿⣿⣿⣧⡳⣝⣻⣿⣛⢎⡘⠄⢡⡐⣡⣾⣥⣤⣴⣾⣿⣯⡝⣮⣿⢧⣿⢻⢦⡀⠀ ⠀⠈⠫⢿⣿⣿⠛⢿⣿⣿⣷⣯⣖⡟⣾⣻⣵⣟⣶⣿⡵⣾⣿⣿⣿⣿⣿⣷⣛⢶⣻⣷⣷⣿⣎⢿⡀ ⠀⠀⠀⠀⠙⣎⠙⠀⠈⢹⣿⢸⣿⣿⣿⣿⣿⣿⣿⣾⣥⡀⠈⢿⣿⠈⣿⣿⣿⣎⠷⣿⣷⣿⣼⣣⡇ ⠀⠀⠀⠀⠀⠈⠑⠚⠒⣾⠿⠾⠟⠛⠋⠉⠉⠻⢿⣿⣿⣷⣀⣈⣿⣆⠘⢿⣿⣿⣿⣽⣻⣟⣷⠷⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⠃⠀⠉⠛⠿⠿⠿⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⠿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡏⠀⠀⠻⣿⣿⣿⣆⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣧⠀⠀⠀⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡟⠀⠀⠀⠘⢿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣠⣤⣽⡿⣿⢿⡿⣿⢿⡿⣿⢷⣦⣤⣀⡀⠀⢉⡩⢽⣿⢿⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣻⣽⡳⣟⡽⡾⣝⣾⢫⢷⣫⡟⣾⡹⢿⡽⣷⣉⠀⢸⣯⣳⡿⡽⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡷⣯⡷⣯⢿⣽⡿⠛⠋⠉⠉⠛⠳⢿⣳⣟⣯⡽⣯⣟⣷⣼⡷⣯⢷⡿⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣿⣿⢿⣽⣿⡿⠃⠀⢿⣿⣷⣾⣿⠧⠀⠹⣿⢾⣽⣳⣟⣾⡽⣿⣷⣫⡿⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣟⣿⣾⣿⣿⣽⠇⠀⠀⣴⣿⡿⢿⣿⣦⠀⠀⢹⣿⡷⣿⢾⣯⣿⣟⣷⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡖⠛⣿⣿⣿⣿⣯⣿⣾⣿⣿⠀⠀⣠⢨⣭⡄⣤⣭⡅⡀⠀⢸⣿⣿⣻⣿⣽⣾⢿⣻⡿⢤⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣿⣽⠚⠉⠉⠀⣨⣽⠻⢿⣿⣿⣿⣽⣿⡅⠰⣿⢸⣿⡇⣿⣿⠆⣿⠀⣼⣿⣿⣽⣯⣿⠿⢿⣻⠓⠒⠛⠒⢶⣲⣄⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⣯⣿⣶⣶⣿⣿⣾⣽⣦⡈⢻⣿⣿⣿⣿⣄⠛⢸⡿⡇⢿⠿⠞⢋⣰⣿⣿⣯⡿⠋⣤⣾⣿⣭⣷⢦⣤⣴⣿⣷⣾⣷⣄⠀ ⡴⢫⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠰⠉⢻⣿⣿⣿⣷⣦⣤⣤⣤⣴⣶⣿⣿⣿⡟⢋⡗⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⠣ ⢿⣶⡹⣯⢿⣿⣿⠿⣟⡿⣿⣿⣿⢿⢯⣽⠣⣤⣾⣿⣿⣿⣿⠿⢿⣿⡿⠿⣿⣿⣿⣿⣧⣼⡘⣿⡽⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⠿⡼⢁ ⠀⠉⢿⣽⣻⣶⣿⣿⣻⣟⣿⡾⣷⣿⢟⣣⣿⡟⣿⣿⡇⠸⣿⣆⡀⠛⢀⣴⣿⠇⣼⢋⡙⢻⣿⡝⣿⣷⣭⣿⣼⢿⣻⣾⣽⣯⡽⡟⣴⠛ ⠀⠀⠀⠉⠳⣿⣿⣾⣷⣿⣾⣿⣽⢿⡚⣿⢭⡿⣿⢿⡧⣠⣌⣻⠿⢿⠿⣟⣡⣀⣼⠶⡼⡶⢛⡟⢳⣯⣿⣿⣽⣯⣷⣯⣟⣿⡷⠟⠁⠀ ⠀⠀⠀⠀⢀⡽⠿⢿⣿⢿⣿⣿⣿⠛⣻⢣⡾⣝⢲⡍⡖⣡⠞⣥⢛⡌⡞⡌⢧⢻⡌⡳⣡⠝⣦⢛⣿⠿⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀ ⠀⠀⠀⢀⣸⠇⠀⠈⣿⣾⣭⢟⣽⣶⣋⣾⢣⡝⣮⠵⣡⠫⡔⣏⢮⡱⢅⡳⣜⡸⣧⠣⣏⠴⣩⠞⣻⣀⢿⣟⢯⣽⣿⡟⠉⢨⣆⠀⠀⠀ ⠀⠀⠀⢿⡟⡆⠀⠀⠈⢹⣟⡾⣿⣿⣜⣣⠯⣜⠶⡹⣄⠻⡜⣜⣣⠞⡱⡜⢦⡱⣋⠶⣩⢎⡕⡺⣍⣿⢺⡽⣞⣿⠉⠀⠀⠹⣾⠀⠀⠀ ⠀⠀⠀⠈⣧⢣⠀⠀⠀⣿⣿⣽⣿⣿⣧⣽⣾⢭⢯⣵⣮⣷⣽⠬⡧⠯⠵⠭⢧⢧⠽⠮⢵⣮⣼⣵⣮⠾⣿⣿⡽⣿⡇⠀⠀⠀⡿⠀⠀⠀ ⠀⠀⠀⠀⠹⣎⠀⠀⢸⣿⡿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠉⡵⠊⠑⢌⠉⡩⠊⠉⢢⠈⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⡀⠀⣰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠺⠷⢾⠋⢹⡀⠀⠀⠈⠁⢂⠀⠀⠀⠳⣀⠀⠀⠉⢀⠀⣠⠞⠀⠀⠀⡰⠈⠁⠀⡔⠀⠈⡹⡟⠞⠓⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⣨⡱⡄⢦⣀⣀⣨⠇⠀⠀⠀⡹⠲⣀⠀⠀⠙⢅⠀⠀⠀⠐⣇⣀⣀⡜⠀⠀⣰⣡⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣷⣹⢦⡙⠛⠃⠀⠀⠀⣎⠀⢀⣩⠷⣄⡀⠀⢱⠀⠀⠀⠘⣻⠋⠀⢠⢻⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣮⣷⣄⣀⣀⣀⣀⣜⣿⣛⣡⣀⣌⣻⣿⣁⣀⣀⣀⣴⣁⣤⣀⡥⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⢿⣿⡿⠿⠿⠿⢿⣿⣿⢯⣿⢿⣿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⣿⣾⣭⣿⣇⠀⠀⠀⣸⣿⣾⣿⣾⣿⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡽⣾⣽⣻⣟⣿⠀⠀⠀⣿⣿⣟⣯⢷⣻⢾⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⣯⣷⣿⡿⠃⠀⠈⢿⣿⣯⣿⣯⣿⣿⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢄⡠⠒⠂⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠈⠁⢨⠀⠀⠀⠀⠀⠀ ⠀⣰⡩⢯⢷⣄⣀⠀⠀⣠⠔⠊⠉⢩⠀⠒⠢⡁⠀⠀⠀⠀⠀⠀ ⠈⣷⣭⣕⠿⡑⢎⣀⡞⣡⠖⠲⠀⠆⢀⣄⠀⠩⢆⠀⠀⠀⠀⠀ ⠀⠙⣧⠭⣢⠋⢘⣿⠃⠧⠤⠴⠀⠀⣁⡀⡅⠀⠛⡟⠀⠀⠀⠀ ⠀⠀⠀⠣⡀⠀⠆⣶⠀⠰⠛⠃⠶⠶⠶⡄⠀⠀⣀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠑⡇⣧⠀⠀⠡⢀⣀⡀⠔⠀⡀⣊⠟⠛⣖⣆⡀⠀ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⡄⠀⠀⠀⠃⡹⠀⠀⠀⠈⢃⠀ ⠀⠀⠀⠀⠀⠀⡘⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢁⠀⠀⠀⠰⠀ ⠀⠀⠀⠀⠀⠀⠙⠥⡆⣤⡀⣀⢈⠀⣤⠶⠻⠄⡴⣸⠀⡔⢎⠇ ⠀⠀⠀⠀⠀⠀⠀⢀⡇⠤⠄⢠⠽⠿⢥⠤⠤⠐⣇⠀⠉⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠠⠜⠀⠀⠈⠣⠄⠀⠠⠃⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀ ⢠⣿⣿⣶⣄⣤⣤⣤⣶⣶⣾⡿⠋⠀⠀⠀⠀⠙⢿⣷⣶⣶⣤⣤⣤⣠⣶⣿⣿⡄ ⢸⣿⣿⣿⣿⣿⡟⠉⠉⠉⠉⣠⣶⡶⠿⠿⢶⣶⣄⡉⠉⠉⠉⢻⣿⣿⣿⣿⣿⡇ ⠀⢻⣿⣿⣿⣿⣧⠀⠀⢠⣾⠋⢠⣤⡀⢀⣤⡄⠙⣿⡄⠀⠀⣼⣿⣿⣿⣿⡟⠀ ⢠⣶⣽⣿⣿⣿⣿⡇⢀⣿⠃⢀⣠⣉⠁⠀⣉⣄⡀⠈⣿⡄⢰⣿⣿⣿⣿⣯⣶⡆ ⢸⣿⣿⣿⣿⣿⣿⡇⠸⣿⠀⢺⣿⣿⠇⠸⣿⣿⡟⠀⣿⠇⢸⣿⣿⣿⣿⣿⣿⡇ ⠀⢿⣿⣿⣿⣿⣿⠃⠀⢻⣷⣄⡈⠀⠘⠃⠀⠁⣠⣾⡟⠀⠈⣿⣿⣿⣿⣿⡿⠀ ⠀⠈⠻⣿⣿⣿⡏⠀⠀⠀⠙⢿⣷⣤⣤⣤⣤⣾⡿⠋⠀⠀⠀⣸⣿⣿⣿⠟⠁⠀ ⠀⠀⠀⠈⠻⢿⣿⣿⣿⣷⣶⣄⠀⠉⠉⠉⠉⠀⣠⣶⣾⣿⣿⣿⡿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⠿⠿⠿⠿⢿⣿⣷⣄⠀⠀⣠⣾⣿⡿⠿⠿⠿⠿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣚⣿⡿⣿⡆⢸⠛⠛⠳⣄⠀⠀⢠⠞⠁⠀⠀⠈⢣⡴⠛⠙⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡇⠸⠿⣥⠀⣿⠀⣾⠀⠀⠀⠘⡆⢠⡏⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠙⠳⣄⣈⠉⢁⡼⠁⠀⠀⠀⠀⣳⠟⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⢉⣹⣽⣶⠾⠛⠛⠛⠋⠉⠉⠛⠒⠒⠦⢤⣼⡁⠀⠀⠀⣀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠉⠓⢦⡀⠀⠀⠀⢳⡀⠀⠀⢀⣠⣶⣟⡯⠟⠛⠉⠉⠛⠲⣤⠀⠀⠀⠀⠀⢀⣀⣤⣭⣓⣶⣞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠹⣄⢠⣿⢟⡵⠉⠀⠀⠀⠀⠀⠀⢀⣬⣧⠀⠀⠀⣴⣫⠁⠀⠀⠈⠙⠻⣷⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⢿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢈⡟⢡⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⣼⠀⠀⣸⢽⣿⡆⠀⠀⠀⠀⠀⠈⢻⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡇⠀⠈⠉⠉⠉⠉⠓⠲⢤⡀⠀⠀⣿⠀⠀⠀⢠⡟⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠛⣻⠇⠀⠀⢿⡼⣿⠇⠀⠀⠀⠀⠀⠀⠀⢷⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⣰⠃⠀⠀⢠⠟⠀⠀⠀⠙⢦⣄⣀⠀⢀⣀⣠⡴⠞⠁⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⣀⣠⡟⠀⢳⡀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⣄⣀⣀⣀⡤⠏⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠓⠒⠒⠒⠒⠋⠁⠀⢀⡼⠉⠉⠳⢤⣀⠙⠦⣄⡀⠀⠀⠀⠀⢀⣠⠤⠒⠒⢺⠳⢤⡀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⣠⢹⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⢀⣭⣷⣦⣄⠉⠉⠒⠒⢺⡏⠀⠀⠀⠀⠘⠀⠀⠉⠓⠦⣤⣀⣀⠀⠀⠀⠀⣀⣠⢾⣧⢼⠋⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⠀⢼⣻⣿⡇⣿⣇⠈⠛⠦⣄⡀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠈⠉⠉⣉⣩⠽⠛⠁⡠⡴⣤⡀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠈⠙⢦⣼⣈⣿⡿⠿⠏⠀⠀⠀⣀⣭⡗⢮⣷⣄⡀⠀⠀⠀⠀⢀⣰⠟⠀⣀⡤⠶⣻⣏⡀⠀⠀⠀⣇⣿⠛⡇⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠁⠀⠀⠀⠀⠀⠈⠛⢯⣀⠀⠀⠀⠸⣿⣿⣷⣿⠄⠈⠙⣿⠿⡓⠛⠛⠛⠶⣖⠉⠁⠀⢰⣿⠋⡹⡄⠀⠀⠈⢛⣿⡷⠋⠈⠓⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣄⡀⠿⢿⣿⡏⠀⣰⠻⣥⠖⠋⠉⠉⠉⠓⢮⡳⣄⠀⠸⣿⣿⣿⠇⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣥⣁⣠⣾⢃⡞⠁⣠⠞⠳⠶⠛⣄⠀⢳⣹⡆⢀⣩⡿⠟⠋⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀ ⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⢀⣠⠤⠚⠋⠁⣿⢸⠀⠀⣿⠄⠀⠀⠀⣞⠁⠈⡇⡿⠛⠧⣄⡀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀ ⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⣀⠤⠚⠉⠀⠀⠀⠀⠀⠻⡸⡆⠀⠳⣄⣠⣄⣀⠼⠁⣸⢻⠇⠀⠀⠀⠉⠛⠦⢄⡀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀ ⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣝⢦⣀⠀⠀⠀⠀⣠⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠉⠉⠙⠺⠭⠭⠭⠽⠓⠋⠙⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠙⣄⠀⠀⠀⠀⢀⡠⠔⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⢤⣀⠀⠀⣠⠾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠈⠧⣀⣴⡚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠟⠚⠁⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⢹⣀⠀⠀⠀⠈⠳⣄⣀⣸⠇⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠘⢦⣀⣀⠄⠀⠀⠀⠀⢀⠏ ⠀⠀⠀⠀⢻⣷⣄⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⣀⣠⠤⠤⠶⠶⠶⠒⠒⢺⠛⣿⠛⠛⠛⠛⠛⠛⠛⠲⠦⠀⡞⠀⠀⠀⠀⠀⠀⠀⠘⣏⠀⠀⠀⣠⢦⠎⠀ ⠀⠀⠀⠀⠀⠙⠾⣗⣶⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡼⠗⠒⠲⠦⠀⠀⠀⠀⠀⠈⣇⡇⠀⠀⠀⠰⠖⠋⠉⠉⠲⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⣶⣺⠵⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⡿⣧⣀⣀⣀⣀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠒⠶⣄⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⣾⠁⠀⠀⠀⠀⠘⡏⠁⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡃⠀⣇⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⢀⡏⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠸⡄⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⡾⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣦⠤⠾⠒⠚⠛⠛⠛⠓⠒⠶⠤⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠉⢀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠶⢶⠏⠉⠹⣄⡤⣤⡀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠙⢦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⢿⡀⣸⠀⢀⡞⠁⠀⢨⠇⠀⠀⢀⡼⠃⣤⣤⡄⠀⢸⠀⢀⣤⡶⠖⢖⣦⡀⠀⠀⠀⢸⡀⠀⠀⠀⢸⣍⣢⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣴⣼⠟⠻⠤⣼⣤⣤⢴⡃⠀⠀⠀⡾⡁⣾⠋⠈⢻⠀⡇⠀⡾⠃⠀⠀⠀⠘⣿⡄⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⢋⣀⣀⡀⢰⡇⠀⢺⣟⣻⢿⣿⠁⢰⡇⠀⢀⡏⠀⡇⠀⢧⡀⠀⠀⠀⠀⣼⠃⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⠟⣾⣇⠘⣯⣹⡷⢸⡇⠀⠀⢙⡏⢠⡏⠀⠈⠳⢶⣞⠀⢸⠀⠀⠈⠓⠦⢤⠤⠞⠁⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⣹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⡔⠛⠻⣆⠀⠉⠀⢸⡇⠀⠀⣼⣿⢿⠃⠀⠀⣰⡾⠛⠻⣾⡶⠶⠶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣀⣠⠴⠒⠋⠉⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⢿⡇⠀⠀⠙⠓⠲⠤⣸⠦⠖⠚⢉⡿⣾⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠟⠉⠀⠀⢠⠖⠓⠲⣼⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢸⢻⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⣼⡇⡏⢸⠀⠀⠀⠀⠀⠉⠙⡖⠚⠉⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⢱⡖⣒⣷⠀⠀ ⠀⠀⠀⠀⠈⠓⠤⠤⠤⠤⠤⠶⢿⢠⠇⢸⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢰⢿⠁⢀⣀⣀⠀⠀⠀⡟⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣸⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⣾⡄⠈⢿⠙⡶⡇⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠸⣗⣦⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠸⡄⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⣟⢱⡄⠈⣯⠀⢧⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣹⡀⢰⡧⣀⡀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⠉⠉⠙⠒⠋⠀⠀⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⣸⡉⠑⠿⢵⣶⣦⣤⡀⠃⠀⣀⣀⣀⣀⣀⣠⠤⢶⣿⣆⠀⠀⠀⠀⠀⠀⡾⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⢸⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠈⠙⢿⣲⡾⠓⠛⠚⠚⠛⠉⠉⠉⠀⠈⠓⠦⣄⣀⠀⠀⣇⠀⠀⠘⣧⣶⠀⠀⠀⢀⠀⠀⢠⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡽⡟⠻⣄⠀⣠⡏⠁⠀⠀⣰⠏⠀⢠⡾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⣀⡈⠉⠉⠉⠉⠒⠒⠲⡤⣄⠀⠀⠀⠀⠀⠀⣀⡤⠖⠉⠀⢹⠀⠈⠉⠻⢤⡤⠖⠋⢀⣠⠔⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⢛⡶⠖⠒⠛⠍⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡟⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠈⠉⠉⠓⠒⠒⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁

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⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠚⠋⢍⠉⠁⠀⠁⠈⠙⠒⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⡚⣥⡭⢀⠈⠐⠀⠈⠂⡀⠀⠀⠀⠀⠀⠀⠙⢶⠚⠓⢶⣄⠀⠀ ⠀⠀⢀⡴⢋⠊⡺⠛⢉⣙⡄⠀⠀⠱⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠩⢆⠀⠙⢧⠀ ⠀⣠⠎⠀⠃⡐⠽⣶⣿⣋⠃⠀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⡄⣆⠀⠈⡇ ⣠⠃⠀⣵⡀⠇⢸⡟⡹⠋⠀⠀⠀⡜⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⡇⠸⡀⠀⢰ ⠇⠀⢠⠸⡈⠊⠚⠋⠁⠀⠀⢀⠜⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠑⡀⢷⠀⢸ ⠐⣤⣀⠀⠐⠲⢶⣶⣶⡶⠖⠁⠀⠀⠀⠀⠀⠀⠀⢈⣀⠠⠤⠠⠤⢄⡇⢸⣶⡎ ⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣔⣼⣾⣾⣿⣿⣿⣷⣿⣷⣼⠉⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⡿⠟⠛⠛⡙⣻⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠋⠀⠐⢶⣷⣶⠟⠀⣿⣿⣿⢹⠏⠀⠀ ⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⢰⣏⠄⠀⠀⠀⠀⠀⠀⢀⣀⣼⣿⣿⠇⡾⠃⠀⠀ ⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⡰⡿⢿⣧⠀⠀⠀⠀⢲⡾⠿⠿⠿⡿⢋⡼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠒⢦⠄⠇⡑⠂⠬⡁⠂⢤⡀⡜⠀⠀⢀⠤⣶⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠈⠀⠐⠂⠤⣦⡄⢑⠈⠀⠀⠸⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠓⠺⠡⡀⠀⠀⠘⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢀⠄⡤⠒⠀⠀⠐⢧⣀⡠⡇⠀⠀⠀⠙⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣆⡀⠀⠀⠀⠀⠂⢠⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠦⣄⡀⢼⢄⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⢇⠇⢀⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⡏⠐⠛⠲⠶⠶⠶⠤⠶⠶⠒⠒⣧⠴⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⠉⠉⠉⠹⡏⣶⣶⣾⣿⠉⠉⠻⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡹⠓⠀⠀⢬⡿⠁⢻⣿⠿⠧⠤⢲⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⡌⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣀⢀⠀⢀⡏⠀⠀⠘⣧⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣃⣀⣀⣸⠀⠀⠀⠀⢶⣂⣀⣀⣀⣹⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠒⢶⣄⡞⠋⠁⠀⠈⢳⡀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⡟⠀⠀⠀⠀⠀⢸⡏⠁⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⡇⠀⠀⠀⠀⠀⡼⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠶⠶⣤⠾⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡬⠷⠦⠝⠒⠦⠤⢤⣰⡃⢀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣰⣿⣀⡴⠾⣮⡾⢻⣷⣦⣄⣀⠀⠀⠀⠀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠈⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢼⣯⣉⡾⠤⠼⣋⣼⣿⡿⣧⣠⡿⡇⠀⠀⢀⣴⡿⠉⢀⣀⣀⡀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠨⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣹⡿⣷⠤⠼⣻⡿⠿⡁⠀⣽⠀⣧⣀⣀⣾⠏⢀⣾⠝⠚⠓⠫⣧⠀⢰⠃⠀⢀⣀⡤⠤⣀⠀⠀⠘⣎⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣯⣯⡏⠉⢩⠥⣄⠀⢹⣶⠃⣸⣟⣯⣼⠏⠀⢸⠇⠀⠀⠀⠀⣽⠀⡜⠀⢠⠟⠉⠉⠙⢮⢇⠀⠀⢹⡌⣷⢲⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⢤⣳⣴⢋⣠⡞⠃⠀⠈⣳⣾⡿⠀⠀⢸⣄⡤⣄⣀⡴⠃⠀⠀⠀⣼⠀⠀⠀⠀⠈⣿⠀⠀⠈⡇⢹⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⣮⡉⠉⠉⠉⠁⠀⡴⠋⣞⡇⠀⠀⠀⠀⣀⡤⠤⣀⡀⠀⠀⠀⠈⠉⠉⠙⠒⠲⠇⠀⠀⠀⣿⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⢸⠁⢠⢿⠀⠀⠀⠀⠰⡟⠋⠙⠒⠯⠷⠶⠮⠭⢍⣲⡄⠀⠀⠀⠀⠀⠀⠿⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⢸⠀⢸⢸⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠇⠀⠀⠀⠀⣀⣤⣾⣿⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⡀⢸⢸⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⣠⠼⠋⠀⠀⠀⣠⠞⣡⢾⡟⠛⠙⠛⡶⠋⣻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⢸⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠒⠉⠁⠀⠀⠀⠀⢠⡇⢰⡃⡏⠀⠀⠀⠀⠑⠒⠛⣞⣻⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢾⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠘⡇⢸⠀⣇⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⠈⡇⠸⡄⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢣⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⢀⡏⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⣸⡄⢸⠀⢸⠇⠀⣀⡀⠀⠀⠀⠀⢸⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣤⣇⣟⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⢀⣀⣤⢶⣺⣿⠀⢸⠀⣸⡄⠀⢹⠇⠀⢰⠆⡆⠸⣽⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⠛⠒⠯⠭⠵⣶⣲⣶⣶⣲⣄⢀⣼⡿⠒⠋⠉⠀⠈⠓⠓⠚⡏⠳⠤⣏⣀⣠⠏⣰⢃⣼⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠦⣄⣀⠀⠀⠀⠀⠀⢀⣙⣿⣿⣟⣅⠀⠀⠀⠀⠀⢀⣀⡼⡇⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⡄⠀⠉⠉⠓⠒⠒⢲⣟⠉⠉⠉⠉⢉⣷⡒⠒⠚⠉⠉⠀⢠⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠁⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠿⣅⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠒⠒⠒⠒⠚⠉⣁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠒⠒⠒⠒⠚⠋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣙⣛⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠚⠋⣉⠧⠦⠤⢤⢬⠭⣉⣉⠓⠢⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠞⠁⠀⠀⠘⢧⡀⠀⠐⢮⣬⠄⠀⠉⠙⣦⠀⠙⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⣠⡴⠚⠁⠀⠀⠀⠳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠦⠔⠒⠛⠋⠉⠉⠉⠉⠉⠉⠙⠛⠛⠒⠦⠤⢄⣀⡀⠀⠀⠀⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⢀⣀⣀⣀⣤⣤⣤⣄⣀⣀⣀⡀⠀⠀⠀⠈⠙⠒⠦⣄⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⢀⣴⠒⠋⠉⠁⣴⠟⣷⣦⡀⠀⠀⠀⣩⡿⣽⡓⠲⢤⣄⠀⠀⠈⠛⢦⡀ ⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⡏⠘⣆⠀⢰⣿⠇⡇⣿⣿⣇⠀⠀⣼⣿⣦⡰⠻⣆⠀⠈⢹⠶⣄⠀⢀⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⠀⠘⢦⡀⠻⣆⣈⣙⣿⣇⠤⣄⣏⣛⠃⠀⣰⠟⠀⢠⡎⠀⢘⡄⣸⠟ ⠀⠀⠀⠀⠀⠀⠀⣴⠤⠤⢼⣦⠀⠸⡗⠦⠤⠼⠟⠛⠑⠦⡶⠙⠯⣍⣉⣁⣀⣴⠋⠀⢐⡾⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠳⣤⣤⣬⣷⣦⣿⣄⠀⠀⠀⠈⠑⠟⠛⠀⠀⠀⠉⠉⣩⣏⣠⡤⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣠⣤⣤⢾⠋⢳⢦⣀⡀⠀⠀⠀⠀⢀⣠⡴⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⡴⠛⠋⠛⣿⢭⣻⡉⠻⡿⣭⣉⣹⡿⠾⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣷⡤⣀⢀⡏⠀⠀⠉⠳⣿⠀⠀⠈⢧⠀⢸⡀⠹⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠹⡏⠀⣽⠘⣿⣧⣀⣀⣀⣀⠈⠳⣄⠀⢸⣀⣀⡇⠀⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡴⠒⠒⡆⠀⠀⣿⢄⡙⡞⢁⣴⡏⠙⢾⡏⢉⣿⡟⣆⣾⡟⠛⣿⣿⣿⣾⣷⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⠀⠀⢰⡷⠶⠶⠿⠶⠿⠿⠿⠶⠷⢤⣤⣧⠀⠛⣿⣞⣿⣀⣤⣟⠉⢻⠌⣹⡇⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣦⠀⢿⠀⠀⠀⠀⣿⣴⣯⣦⢸⡇⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⢰⡇⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠈⠳⢤⣄⠼⠃⠀⠙⢿⠟⠁⠀⠀⠀⠀⠀⠀ ⠻⣇⠀⢸⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠒⠒⠢⣾⠁⠀⠀⣠⠷⢦⠤⠤⣤⣼⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠓⢾⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣠⠖⠋⠀⠀⢸⣄⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡁⠀⠀⣀⡴⠋⠈⠳⣶⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢻⡋⠉⠙⠛⠒⠒⠒⠶⠦⠤⣀⣠⠞⠀⠙⠶⣾⣁⠀⠀⠀⠀⣨⠇⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠸⡏⠛⣶⣤⡴⠋⠀⠀⠀⠻⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠻⡄⢨⣿⣶⠤⣄⣠⡤⡇⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⡤⠔⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⣀⣸⡆⠘⠷⣤⣴⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠿⢿⣷⣆⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⣰⣧⡀⠀⠀⢀⣴⣾⠟⠻⢷⡆⠀⣿⣿⢀⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠶⢾⣿⣇⠀⣿⣿⠀⠀⠀⠀⠀⠀⣴⡟⣿⣷⡄⠀⣿⣿⠃⠀⠀⠀⠀⠀⣿⣿⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣀⣠⣿⣿⠀⣿⣿⣄⣀⣀⡀⢀⣾⡿⠶⠾⢿⣿⣄⠹⣿⣧⣀⣀⣠⣆⠀⣿⣿⠈⢻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣿⣿⣷⣦⣄⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠉⠉⠉⠉⠉⠀⠉⠉⠀⠀⠀⠈⠉⠉⠀⠀⠉⠉⠉⠉⠀⠈⠉⠉⠀⠀⠉⠉⠁⠀⠀⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀ ⢸⣿⣿⡇⠈⠙⢿⣿⣧⠀⠀⣾⣿⡄⠀⠀⠸⣿⣷⡀⠀⠘⣿⡿⢠⣿⣿⣿⣿⣿⣿⡿⠁⣿⣿⡿⠀⠀⣿⣿⡏⠀⢸⣿⣿⣿⣿⡿⠁⢹⣿⣿⠁⠈⠙⢿⣿⣷⡀⠀ ⢸⣿⣿⡇⠀⠀⢸⣿⣿⡇⢰⣿⣿⣇⠀⠀⠀⣿⣿⣧⠀⠀⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⢸⣿⣿⡇⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⡇⠀ ⢸⣿⣿⡇⠀⢀⣼⣿⣿⠃⣾⣿⣿⣿⠀⠀⠀⣿⣿⣿⣇⠀⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀⢀⣿⣿⣇⣀⣀⣿⣿⡇⠀⣸⣿⣿⣇⣀⣀⠀⢸⣿⣿⠀⠀⢀⣼⣿⣿⠃⠀ ⢸⣿⣿⣷⣶⣿⣿⠿⠃⢠⣿⡏⣿⣿⡇⠀⠀⣿⡿⣿⣿⡆⣿⡇⠀⠀⠀⣿⣿⡇⠀⠠⠿⣿⣿⡿⠿⠿⣿⣿⡇⠼⢿⣿⣿⡿⠿⠃⠀⢸⣿⣿⣶⣾⣿⡿⠟⠁⠀⠀ ⢸⣿⣿⡏⠉⠉⠀⠀⠀⣼⣿⠃⢻⣿⣷⠀⠀⣿⡇⢻⣿⣿⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⢸⣿⣿⡇⠀⠀⠀⢸⣿⣿⠈⣿⣿⣷⠀⠀⠀⠀ ⢸⣿⣿⡇⠀⠀⠀⠀⣠⣿⣿⣀⣸⣿⣿⡆⠀⣿⡇⠀⢿⣿⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⢸⣿⣿⡇⠀⠀⠀⢸⣿⣿⠀⠸⣿⣿⣧⠀⠀⠀ ⢸⣿⣿⡇⠀⠀⠀⠘⣿⣿⡟⠛⠛⣿⣿⣧⠀⣿⡇⠀⠈⢿⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⢸⣿⣿⡇⠀⠀⠀⢸⣿⣿⠀⠀⢻⣿⣿⣇⠀⠀ ⢸⣿⣿⡇⠀⠀⠀⢠⣿⣿⠁⠀⠀⣿⣿⣿⣴⣿⣇⠀⠀⠘⣿⡇⠀⠀⠀⣿⣿⣇⠀⠀⠀⣿⣿⣷⠀⠀⣿⣿⣇⠀⢸⣿⣿⣿⣿⣿⠃⣼⣿⣿⠀⠀⠈⢿⣿⣿⡄⠀ ⠼⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠇⠀⠀⠘⠿⠿⠿⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤ ⣿⣿⣿⣿⣶⣦⣤⣀⣀⡀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⢀⣀⣠⣤⣶⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠿⠛⠋⠉⠁⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠈⠉⠉⠛⠻⠿⣿⣿⣿⣿ ⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⢿⣷⡄⠀⣿⡿⠿⠟⣿⡧⣰⣿⣿⣿⡿⠿⢹⣿⢿⢿⣀⣴⡼⢿⣦⡤⠀ ⠀⣾⡿⠀⢹⣿⣸⣿⠇⠀⠀⣿⣿⢏⢩⢹⣿⠇⠀⣿⡟⠀⢹⣿⣿⠃⣬⣿⠃⠀ ⢠⣿⠇⠀⣼⣿⣿⡿⠿⠇⠀⣿⣿⠀⠀⢸⣿⠀⢀⣿⡻⠯⠆⣼⣿⣶⣟⣫⠆⠘ ⢸⣿⠀⣠⣿⢏⣿⡇⠀⢀⣾⢻⣿⣧⠀⣿⡇⠀⣸⣿⠀⡀⢠⣿⡏⢿⣿⣔⠁⠀ ⠾⠿⠟⠛⠁⠸⠿⠿⠿⠟⠁⠠⠿⢇⠸⠿⠧⠀⠿⠟⣾⣶⣾⣿⠁⠈⢿⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠐⠘⠛⠿⡁⠁⠀⠀⠘⣿⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⣥⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⣿⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⣿⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⠃⢀⣀⣿⣀⡀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣧⠞⠋⠉⣿⠉⠙⠳⣼⣦⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⣿⠀⠀⠀⠘⢿⣧⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀ ⠀⠀⠀⢀⡼⢹⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⡟⣧⠀⠀⠀⠀⠀⣿⣿⠈⣿⡏⠀⠀⡀⠀⢰⣶⡆⠸⡟⠁⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠉⠹⣷⡀ ⠀⠀⢀⡾⠁⢸⡄⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⡇⠈⢧⠀⠀⠀⠀⣿⣿⠀⣿⣿⠀⣾⡇⠀⢸⣿⠇⠀⣀⠄⣿⣿⠀⣀⣀⡀⠀⢠⣤⡄⠙⣿⣷⡈⠉⠀ ⠀⢀⡞⠁⠀⠀⢷⡄⠀⠀⠀⣿⠀⠀⠀⣠⡟⠀⠀⠈⢧⡀⠀⠀⣿⡿⠀⣿⣿⠀⣿⡇⠀⢸⣿⠀⢾⣿⠀⣿⣿⠀⠸⣿⡇⢀⣾⡟⠀⢀⡈⢿⣿⣄⠀ ⢀⡞⠀⠀⠀⠀⠀⠙⢶⣤⣀⣿⣀⣤⠶⠋⠀⠀⠀⠀⠈⢷⡀⠀⣿⡇⠀⣿⣿⣠⡿⣇⣠⡼⠋⠀⠸⣿⣧⣿⣿⠄⠀⢻⣷⣾⡏⠀⠀⢿⣧⡀⣿⡿⠂ ⠛⠒⠒⠶⠶⠶⠶⠶⠶⠶⠿⠛⠛⠒⠒⠒⠒⠒⠒⠒⠒⠚⠓⠀⣿⡇⠀⠈⠛⠋⠀⠈⠛⠁⠀⠀⠀⠉⠁⠛⠁⠀⠀⢸⣿⠏⠀⠀⠀⠈⠻⠟⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡖⠉⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠛⠋⠙⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⠋⡀⠀⠀⠀⢰⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⢶⣄⠀⠀⠀⠀⢀⣤⡾⠛⠁⠀⠀⣿⡀⠀⠀⢾⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠘⢧⡀⢠⡾⠋⠁⠀⠀⠀⠀⠀⢿⡇⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⢧⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠻⣆⠀ ⠀⠀⠀⠀⠀⠀⠈⢷⠈⣷⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⢠⣿⠻⢦⣄⠀⠀⠙⣧ ⠀⠀⠀⠀⠀⠀⠀⢸⣶⣿⣄⡀⠀⠘⠛⢷⣄⠀⠀⠀⠀⠀⣿⡀⠀⠙⢷⣄⠀⡾ ⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⠈⢿⡀⠀⠀⠀⠙⠛⢳⣀⣀⣄⠸⣇⠀⠀⠀⢻⣿⠃ ⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠈⠛⠻⣆⠀⠀⠀⠀⠙⠉⠻⣶⠟⠻⣦⠀⢀⠏⡄ ⠀⠀⠀⠀⢀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠘⢿⡷⣆⡀⣀⡀⠀⠀⠀⠀⣿⢠⠏⠀⢡ ⠀⣠⠾⠿⠟⠃⠀⠀⢠⣤⣤⡄⠀⢰⡄⠋⢀⣬⠿⠿⢿⠾⢿⡦⠤⠿⣇⠀⢀⠆ ⣰⠃⠀⠀⠀⠀⠀⠀⣸⠋⠙⢿⡶⢤⣷⣴⣿⣿⠀⠀⣸⣷⣿⠷⠶⣤⡘⠦⠋⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠻⣆⡀⠀⢀⣰⠋⠻⣄⣁⣤⡾⠟⠉⠀⠀⠀⠀⠹⡆⠀⠀ ⢳⡀⠀⠀⢾⣧⣴⣄⣠⣈⣙⣿⠟⠿⢷⣾⠿⠋⠁⠀⠐⠲⣶⡀⠀⠀⣰⠃⠀⠀ ⠈⠻⣆⠀⠀⠙⢿⡀⠀⠉⠉⠁⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⡟⠀⠀⣴⠃⠀⠀⠀ ⠀⠀⠈⠳⣤⡀⠈⠻⣆⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⢀⡼⠁⣀⡾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⢦⡀⠈⢣⡀⠀⠀⠀⢀⡏⠀⠀⣠⠔⠉⣠⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠻⣦⣄⣀⣾⡶⠖⢋⣡⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣤⣤⣤⠥⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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🟩🟩🟩🟩🟩⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩🟩🟩🟩 🟩🟩🟩🟩⬛🟦⬛🟩🟩🟩🟩🟩🟩🟩⬛🟦⬛🟩🟩🟩🟩 🟩🟩🟩🟩⬛🟦⬛🟩🟩🟩🟩🟩🟩🟩⬛🟦⬛🟩🟩🟩🟩 🟩🟩🟩⬛🟦🟦🟦⬛🟩🟩🟩🟩🟩⬛🟦🟦🟦⬛🟩🟩🟩 🟩🟩🟩⬛🟦🟦🟦🟦⬛⬛⬛⬛⬛🟦🟦🟦🟦⬛🟩🟩🟩 🟩🟩🟩⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟩🟩🟩 🟩🟩🟩⬛🟦🟦⬜⬜🟦🟦🟦🟦🟦🟦⬜⬜🟦⬛🟩🟩🟩 🟩🟩⬛🟦🟦🟦⬛⬜🟦🟦🟦🟦🟦🟦⬛⬜🟦🟦⬛🟩🟩 🟩🟩⬛🟦🟦🟦🟦🟦🟦🟦⬛⬛🟦🟦🟦🟦🟦🟦⬛🟩🟩 🟩⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟩 🟩⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟩 ⬛🟦🟦🟦🟦🟦🟦🟦⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦🟦⬛ ⬛🟦🟦⬛🟦🟦🟦⬜🟦⬜🟦⬜🟦⬜🟦🟦🟦⬛🟦🟦⬛ ⬛🟦🟦⬛🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦⬛🟦🟦⬛ ⬛⬛⬛🟦🟦⬜⬜🟦⬜🟦⬜🟦⬜🟦⬜⬜🟦🟦⬛⬛⬛ ⬛🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦⬛ 🟩⬛🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦⬛🟩 🟩⬛🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦⬛🟩 🟩🟩⬛🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦⬛🟩🟩 🟩🟩🟩⬛🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜🟦🟦⬛🟩🟩🟩 🟩🟩🟩⬛🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜🟦🟦🟦⬛🟩🟩🟩 🟩🟩🟩🟩⬛🟦🟦🟦⬜⬜⬜⬜⬜🟦🟦🟦⬛🟩🟩🟩🟩 🟩🟩🟩🟩🟩⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟩🟩🟩🟩🟩

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣒⣒⡏⠀⣀⣀⣡⣀⠠⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡇⢀⠐⠋⠁⢤⡀⠠⡍⠐⢄⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠁⠀⡀⠤⠘⠓⠒⠛⠒⠀⢵⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠇⡰⠁⠀⣀⡤⠤⠀⢒⣶⢤⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡄⠁⢠⣏⣾⢶⣿⠀⣷⣾⣿⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⢃⢆⠀⢫⡻⢟⡹⠚⠣⠬⡛⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣖⡮⡢⢀⠈⠂⠤⠭⠤⠊⢀⣜⣞⢳⠀⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣘⡆⠀⣀⣾⠖⠭⡴⠦⠴⠴⡞⢻⣵⡾⠞⡲⢁⠤⢓⣄⡀⠀⠀ ⠀⠀⢀⠤⠛⢶⢹⡍⠛⢛⣿⢠⡇⠷⣄⣀⡤⠇⣇⠗⠤⢰⡇⢇⠔⠁⠀⢨⠷⣶ ⠀⣠⠚⠐⠒⠠⡆⢿⠊⢸⢸⣤⠁⠀⠀⠀⢀⡶⠁⠀⠀⠀⢃⢸⠀⠀⠀⠀⠉⡏ ⠸⡏⣎⡵⠀⠀⢱⡜⠀⠈⠦⢿⡛⣿⣿⣭⣭⠇⠀⠀⠀⠀⠀⠙⡀⠀⠀⢀⢐⡣ ⠀⠣⣀⠀⠀⠀⢸⠂⠀⢀⢕⠤⡁⠢⡀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠈⠁⠀⠉⠉⠀ ⠀⠀⠓⠘⠀⠐⠁⠀⠀⠀⢏⠉⠉⠢⣰⠀⠀⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⢰⡊⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡬⠥⠦⠄⢊⡹⠓⢒⡡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠾⢿⢹⠫⢉⡡⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠐⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠉⠉⢿⣿⣿⣿⣷⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⣁⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣷⣄⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣆⢠⣿⣦⡀⠀ ⠀⠀⠀⠀⢀⣼⣿⣿⣿⡿⠁⣿⣿⠏⢠⣾⣿⣿⣿⣿⣿⣇⠛⢻⣧⠀ ⠀⠀⠀⣠⣿⣿⣿⣿⠋⠀⠀⠈⠙⠀⠸⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⡇ ⢀⣴⣶⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣴⣭⣿⣿⣿⣿⣿⣿⣤⣤⡿⠃ ⢸⣿⣿⣿⣿⣥⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣧⣤⣬⣤⣤⡄ ⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⡼⠇⠀⠀⠀⠘⡆⠀⠀⠐⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⢼⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠞⠀⢹⡄⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⡿⣯⡷⡴⢦⣤⡠⣶⡶⠀⢷⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣼⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠈⢧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠛⢦⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠳⠀⢳⡀⢹⡇⠀⠀⠀⠀⠀⡾⡇⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠘⠀⠀⠹⣼⡇⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⡾⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⡟⠀⠀⠀⠀ ⠀⣴⠓⣾⣳⣀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠃⠀⠀⠀⠀⠀⠀⢸⡇⢀⠇⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠀ ⠹⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠀ ⠀⢀⡇⢹⣄⠀⠀⠀⠀⣀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣸⣧⠀⠀⠀⠀⠀ ⠀⣴⣿⠋⠘⣆⠀⢰⠶⠤⢍⣛⣶⠤⠿⣷⣦⡀⠒⠚⡟⠀⠀⠀⠀⠈⠛⠢⠤⡄⠀⠀⢀⡴⢯⠴⣳⠇⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠘⢦⡈⠻⣖⠤⣤⣉⣉⣹⣯⣭⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣫⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠉⢦⡀⠀⠀⠈⠉⠁⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣷⢚⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣷⠇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟩🟩🟩⬜🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🟩🟩🟩🟩⬜🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟩🟩🟩🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜ ⬜⬜🟩🟩🟩🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜ ⬜⬜⬜⬜🟨🟨🏽🏽🟨🏽🏽🟨🟨⬜⬜⬜ ⬜⬜⬜⬜🟨🟨🏽🟨🟨🏽🟨🟨🟨🟨⬜⬜ ⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜ ⬜⬜⬜⬜🟨🟨🏽🏽🟨🏽🏽🟨🏽🏽🟨🟨 ⬜⬜⬜⬜🟨🟨🏽🟨🟨🏽🟨🟨🏽🟨🟨🟨 ⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 ⬜⬜⬜⬜⬜⬜🟨🟨🟨🏽🏽🟨🏽🏽🟨🟨 ⬜⬜⬜⬜⬜⬜⬜🟨🟨🏽🟨🟨🏽🟨🟨⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨⬜⬜⬜

⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣿⡿⠿⣿⣿⡿⠋⠙⢿⣿⣿⠿⢿⣿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣏⣹⣾⣿⣿⣷⡄⢠⣾⣿⣿⣷⣏⣹⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣿⣿⣿⡿⠛⠁⠀⠀⠈⠛⢿⣿⣿⣿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⡿⢿⣿⣿⣿⣦⡄⢠⣴⣿⣿⣿⡿⢿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣷⣞⢙⣿⣿⡏⠀⠀⢹⣿⣿⡋⣳⣾⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⠸⠿⠿⠿⠿⠿⠿⠦⠴⠿⠿⠿⠿⠿⠿⠇⠀⣿⣿⣿ ⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣅⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶ ⠈⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛🌫️🌫️🌫️🌫️🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬛⬛🌫️🌫️🌫️🏽🏽🏽🏽🏽🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🏽🏽🏽🏽🏽⬜⬜⬜⬛⬛⬜⬜ ⬜⬛🌫️🌫️🏽🏽🏽🏽🟫🟫🟫🟫🟫🟫🏽🏽🟫🟫🏽🏽🏽🏽🏽🟫🟫🟫🟫🟫🟫🏽🏽🏽⬜⬜⬛⬜ ⬛🌫️🌫️🏽🏽🟫🟫🟫🟫🏽🏽🏽🟫🟫🏽🟫🏽🟫🟫🟫🏽🏽🏽🏽🏽🏽🏽🏽🟫🟫🟫🟫🏽🏽⬜⬛ ⬛🌫️🏽🏽🟫🏽🏽🏽🏽🏽🏽🏽🏽🟫🟫🏽🟫🟫🏽🟫🟫🟫🟫🟫🟫🏽🏽🏽🏽🏽🏽🟫🟫🏽🏽⬛ ⬛⬛🏽🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🏽🟫🟫🏽🏽🏽🏽🏽🏽🟫🟫🏽🏽🏽🏽🏽🏽🟫🟫🏽⬛⬛ ⬛🟩⬛🟫🟫🟫🟫🟫🟫🏽🏽🏽🏽🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🏽🏽🏽🟫🟫🟫🟫🟫🏽⬛🟩⬛ ⬛🟩🟩⬛⬛🏽🏽🏽🟫🟫🟫🏽🏽🟫🟫🟫🟫🏽🏽🏽🏽🏽🏽🏽🟫🟫🟫🟫🏽🏽🏽⬛⬛🟩🟩⬛ ⬜⬛🟩🟩🟩⬛⬛⬛🏽🏽🟫🟫🟫🟫🟫🟫🟫🏽🏽🏽🏽🟫🟫🟫🏽🏽🏽🏽⬛⬛⬛🟩🟩🟩⬛⬜ ⬜⬛🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛🏽🏽🟫🟫🟫🟫🟫🟫🟫🟫🏽🏽⬛⬛⬛⬛🟩🟩🟩🟩🟩🟩⬛⬜ ⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜ ⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜ ⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜ ⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⣔⣮⣷⣾⣷⠆⢀⣄⠀⢀⣄⠀⠴⣾⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣟⠀⠈⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⠏⠀⠙⠟⠀⠀⠛⠁⠀⢿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⢴⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀ ⠀⠀⣰⣾⣿⠿⠋⠀⠈⠋⣿⣿⠇⠀⠀⠀⠀⢸⣿⡯⠈⠁⠈⠛⢿⣿⣷⡀⠀⠀ ⠀⠰⣿⠙⠁⠀⠀⠀⠀⠀⠿⣤⡀⠀⠀⠀⠀⢀⣼⠇⠀⠀⠀⠀⠀⠙⢉⣿⠀⠀ ⣶⣀⣰⡆⣶⠶⣶⣶⣶⠶⣶⢰⡶⢶⣦⣶⠀⢰⡆⣶⣀⣶⢲⣶⡶⠶⢰⡶⠶⣦ ⣿⠉⢹⡇⣿⠛⣿⣿⣿⣤⡿⠸⣧⣼⡟⢻⣦⣼⠇⣿⠉⣿⣿⣿⣥⡶⢸⡇⠀⣿

⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣶⣶⣶⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀ ⠀⣾⣿⣿⣿⡟⠉⠉⢻⣿⣏⠉⠉⠉⢻⣿⣿⠟⠉⠉⢻⣿⣿⣿⣷⠀ ⢠⣿⣿⣿⣿⣷⠀⠀⠀⢿⣿⠀⠀⠀⢸⣿⠟⠀⠀⣰⣿⣿⣿⣿⣿⡄ ⢸⣿⣿⣿⣿⣿⣧⡀⠀⠈⠻⠀⠀⠀⠘⠁⠀⠀⣴⣿⣿⣿⣿⣿⣿⡇ ⠘⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⢠⣄⠀⠀⠈⢿⣿⣿⣿⣿⣿⠃ ⠀⢿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⣸⣿⣷⡀⠀⠀⢻⣿⣿⣿⡿⠀ ⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣿⣿⣿⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀ ⣤⣤⣼⣿⣿⣿⣿⣿⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣿⣿⣿⣿⣿⣤⣤⣤ ⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿ ⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿ ⣿⣿⡇⠀⠀⢸⣿⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⡇⠀⠀⣿⣿⣿ ⠛⠛⠃⠀⠀⠘⠛⠛⣤⣤⣤⣤⣤⡀⠀⠀⢠⣤⣤⣤⣤⣤⠛⠛⠃⠀⠀⠛⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢠⣶⣿⣿⣿⣶⣶⣶⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣶⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢠⡄⡀⠀⠀ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣬⣤⣧⣴⣄ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠩⣭⠉⠁ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠻⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⢿⣿⣿⠿⠟⠛⠀⠀⠀⠀⠁⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⣰⡟⠋⠙⠿⠶⠶⠿⠿⠿⠿⠶⠶⠿⠋⠙⢻⣆⠀⠀⠀ ⠀⠀⠀⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⣠⣶⢶⣦⣀⣠⣴⡶⣶⣄⠀⢸⣯⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠁⣾⠏⢠⣤⠈⢻⡟⠁⣤⡄⠹⣷⠈⣿⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⣀⣻⣆⠈⢋⣀⣼⣧⣀⡛⠁⣰⣟⣀⣿⡆⠀⠀⠀ ⠀⠀⣴⡿⠋⠉⠙⠻⢿⣟⠋⠉⠉⠙⣻⡿⠟⠋⠉⠙⢿⣦⠀⠀ ⠀⢸⡟⠀⠀⢠⣄⠀⠀⠻⢷⣤⣤⡾⠟⠀⠀⣠⡄⠀⠀⣿⡆⠀ ⠀⠘⣿⡀⠀⠈⠙⠿⣶⣤⣤⣤⣤⣤⣤⣶⠿⠋⠀⠀⢠⣿⠁⠀ ⠀⠀⠘⢷⣄⠀⠀⠀⠀⣿⡏⠉⠉⢹⣷⠀⠀⠀⠀⣠⡿⠃⠀⠀ ⠀⠀⠀⠀⠙⠿⣦⣄⣀⠛⠛⠛⠛⠛⠛⣀⣠⣴⠿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⢻⣿⠷⠾⣿⡟⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣤⣤⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⡀ ⢸⣿⣿⣉⣿⣿⣿⣉⣿⣿⣿⣏⣹⣿⣿⣏⣹⣿⣿⣿⣉⣿⣿⡇ ⠈⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁

⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀ ⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿ ⣿⣿⣿⡁⢀⣀⣀⡀⢸⣿⣿⡇⢀⣀⣀⡀⢈⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡿ ⠈⢿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⡿⠁ ⠀⠀⠹⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⠏⠀⠀ ⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⣶⣶⣶⣶⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⡄ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇ ⠘⠿⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀ ⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠿⠿⠿⠿⠃⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣶⣶⣾⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀ ⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⠃⠙⠿⣿⣿⣿⣿⣿⣿⣿⣇⣀ ⠀⣿⣿⣿⣿⣿⣿⡿⠃⠈⣁⠀⠻⠿⠋⠁⠀⣀⠀⠈⢻⣿⣿⣿⣿⣿⣿⡿ ⠀⢻⣿⣿⣿⣿⣿⡀⠀⠐⠿⠃⠀⠀⠀⠀⠘⠿⠂⠀⢠⣿⣿⣿⣿⣿⠛⠁ ⠀⠈⢿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⣀⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡁⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠈⠉⠉⠁⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣦⠀ ⠀⠉⠛⠛⠛⣿⣿⣿⣿⣿⢿⣿⣦⣀⣀⣴⣿⡿⢿⣿⣿⣿⡿⢿⣿⠿⠋⠀ ⠀⠀⠀⠀⠀⠈⠛⣿⣿⡟⠀⠈⠛⠿⠿⠛⠁⠀⢸⣿⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠂⠤⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠤⡠⠋⠣⡤⡥⠈⠏⡏⠐⠅⠀⠀⠀⣀⡠⠤⠒⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡎⢰⢢⠑⠺⡀⢁⠆⠙⣤⡐⠉⠙⠐⡄⠪⠤⠐⠒⠒⠒⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠈⡇⠀⠀⢀⣖⠪⣴⢄⠈⠉⢇⡀⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠼⠛⠛⢢⠤⣚⣥⠫⡤⠐⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠁⠄⡘⠳⡦⡈⠉⢁⠇⠀⠀⠀⠀⠀⠀⡠⢢⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⠃⠀⠐⠉⢏⡅⠀⠀⠀⠀⠀⡠⠒⢠⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢐⠀⢰⠈⠰⡀⠀⠀⠀⠐⠀⠑⠘⢦⣀⠀⠀ ⠀⠀⠀⡤⢢⠀⣀⠀⠀⠀⠀⠸⠀⡀⠀⠀⠀⡆⢇⠀⠀⠈⢀⠳⡄⠀⣈⣐⡛⢳ ⠀⠀⠀⠃⢤⢀⠀⠑⠄⡀⠀⡀⠀⠇⠀⠀⠀⠀⠘⠒⠁⠔⠁⠀⠈⠒⠤⠤⠛⠁ ⣠⢐⣒⡢⠁⠘⠀⠔⢄⡈⠑⠁⢠⠀⡆⠀⠀⢸⡀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⢥⣂⣉⣠⠔⠊⠀⠀⠈⠒⢠⠂⢠⠃⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⣧⡘⢄⣠⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⡜⠀⢳⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⡇⠀⠀⡇⢸⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢇⠀⠀⠇⠈⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⡄⠀⢰⠀⡇⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢣⠀⠸⠀⢃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠸⠀⠀⡇⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⠃⠀⠇⠀⡇⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⡸⠀⠀⣰⠀⠸⡀⠈⠉⠛⠓⠲⠤⣀⠀⠀⠀⠀ ⠀⠀⢀⣀⠀⠀⠀⠀⣀⡤⢊⢔⡡⠔⠋⠁⠀⠀⢱⣀⠀⠀⠀⠈⠓⣌⡇⠀⠀⠀ ⠀⠀⠘⠦⣍⣉⣉⣉⡥⠖⡹⡫⠆⡠⠀⠀⢀⠔⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣤⡼⠤⠖⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⠛⣿⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⡟⠛⣿⠛⣿⣿⡇ ⠈⠹⢿⣿⣿⣿⠿⢏⡱⢎⣉⣶⠿⠀⠀⠸⢿⣿⣿⣿⣿⡿⢏⡱⠶⣉⣶⠿⠏⠁ ⠀⠀⠈⢹⣿⣿⣶⣾⣷⣾⣿⠉⠀⠀⠀⠀⠈⠉⣿⣿⣿⣷⣾⣷⣶⣿⠉⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡇⠀⠀⠀⠀⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠃⠀⠀⠀⠀⢸⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣄⠀⠀⠀⢀⣴⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣀⠀⠀⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣠⣾⣿⠀⠀⣿⣦⡀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⢠⣾⣿⣿⣿⠀⠀⣿⣿⣿⣦⡀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢀⣴⣿⣿⣿⡿⠋⠀⠀⠙⣿⣿⣿⣿⣦⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⣰⣿⣿⣿⣿⠋⠀⠀⠀⢀⠀⠈⠻⣿⣿⣿⣷⣄⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣠⣾⣿⣿⣿⠟⠁⠀⣠⣾⠀⢸⣷⣄⠀⠘⢿⣿⣿⣿⣷⣄⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⢀⣼⣿⣿⣿⡿⠃⠀⣠⣾⣿⠿⠀⠘⢿⣿⣷⣄⠀⠙⢿⣿⣿⣿⣦⡀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⢀⣴⣿⣿⣿⣿⠏⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠙⢿⣿⣷⡄⠈⠻⣿⣿⣿⣿⣄⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣠⣾⣿⣿⣿⡟⠁⢀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡀⠙⢿⣿⣿⣿⣷⡄⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀ ⣠⣾⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣾⣿⣿⣿⣿⠏⠀⣰⣿⣿⠏⠀⠀⠀⢠⣾⣿⣿⣷⡄⠀⠀⠈⢻⣿⣷⡄⠈⢻⣿⣿⣿⣿⣦⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣷⡀ ⠙⣿⣿⣿⣿⣿⣏⢿⣿⣧⡀⠀⠘⠿⣿⣿⣿⣯⡀⠘⠿⣿⣿⡀⠀⠀⠀⢿⣿⣿⣿⣿⡇⠀⠀⠀⣠⣿⣿⠟⠀⣠⣿⣿⣿⣿⠿⠀⠀⣠⣾⣿⠟⣽⣿⣿⣿⣿⡿⠁ ⠀⠘⢿⣿⣿⣿⣿⣆⠻⣿⣿⣆⠀⠀⠈⠛⢿⣿⣿⣦⡀⠈⠻⣿⣦⠀⠀⠈⠛⠿⠿⠋⠀⠀⢀⣼⣿⠟⠁⢀⣾⣿⣿⡿⠋⠀⠀⢀⣴⣿⣿⠋⣾⣿⣿⣿⣿⡟⠁⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⣆⠙⣿⣿⣷⡀⠀⠀⠀⠙⢿⣿⣷⣄⠀⠘⢿⣧⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠁⠀⣰⣿⣿⠟⠁⠀⠀⠀⣠⣾⣿⡿⠁⣼⣿⣿⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⣿⣿⣆⠈⢻⣿⣿⣆⠀⠀⠀⠀⠙⢿⣿⣦⠀⠀⠻⣧⠀⠀⠀⠀⠀⠀⣾⠋⠀⢀⣾⣿⡟⠁⠀⠀⠀⢀⣴⣿⣿⠟⠀⣼⣿⣿⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣆⠀⠹⣿⣿⣷⠀⠀⠀⠀⠀⠻⣿⣧⠀⠀⠹⡄⠀⠀⠀⠀⠸⠃⠀⢀⣾⣿⠋⠀⠀⠀⠀⢠⣿⣿⣿⠋⠀⣼⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠁⠀⠀⠀⠀⠀⢸⣿⣿⡏⠀⠘⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⢻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠁⠀⠀⠀⠈⠻⣷⡀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⢸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡇⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢸⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠃⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣤⣤⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣄ ⠙⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠛⠋ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣶⣤⣀⠀⠙⠻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣤⣤⣿⣿⣿⣿⣿⣿⣤⣤⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣦⣀⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣶⣿⡟⠉⠻⣿⣿⣿⠀⠀⣿⣿⣴⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⡟⠙⠿⣿⣦⠀⠈⠻⠿⠀⠀⠿⠟⠋⠻⣿⣆⠀⠀⠀⠀ ⠀⠀⣴⣿⠏⠀⠀⠀⠈⠁⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠘⣿⣧⠀⠀⠀ ⠀⠼⢿⣿⣦⣄⡀⠀⣶⡿⠿⠛⠋⠉⠙⠛⠿⣷⡄⢠⣶⣿⣿⣧⡄⠀ ⠀⠀⢀⣼⣿⡿⠇⣸⣿⣤⣤⡄⠀⠀⢠⣤⣤⣿⣇⠘⠉⣉⣙⣿⡇⠀ ⢀⣴⣿⠟⠁⠀⣾⣿⠿⠉⢉⡁⠀⠀⢈⡉⠁⢿⣿⣷⠀⠻⣿⣿⡇⠀ ⠈⣿⣧⠀⠀⠀⠻⣷⡆⠀⠈⠃⠀⠀⠘⠁⠀⢰⣾⡟⣤⣄⠈⣻⣿⠆ ⠀⠘⣿⣷⣿⣿⣐⣿⡇⢀⣴⣾⣦⣴⣷⣦⡀⠈⣿⣇⣿⣿⣿⣿⠏⠀ ⠀⠀⠈⠉⠿⠿⠿⣿⣧⣌⣉⡉⠉⠉⠉⣉⣁⣼⣿⠿⠿⠏⠙⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⣷⣶⣶⣾⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣔⢄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠛⢉⣵⣿⠿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⣻⣿⣆⠀⠀⠀⣀⡠⠂⠀⠀⠠⣤⣴⠟⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢘⣭⣾⣿⣿⡟⠲⢤⣀⣀⣼⡏⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⠃⠀⠀⠈⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠲⣍⢩⣤⣤⣀⣀⣾⠇⢠⠐⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠀⠀⢈⣷⣮⣝⡛⠟⠉⠀⠈⢃⢈⣯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣠⣴⠟⠋⠁⠀⠙⣦⣄⣀⣠⣼⣧⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠏⠀⣤⣾⠏⠀⠀⠀⠀⠀⠀⠻⠛⠿⢶⡆⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣣⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣰⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠦⡻⡿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢀⠶⣟⡉⠉⠉⠉⠉⠉⠙⠛⠛⠒⠒⠲⢤⣀⠀⠀⠀⠀ ⠀⢸⠀⠀⠉⠑⢶⠒⠒⠒⠒⠒⠒⠒⠒⠀⠤⠬⠽⢶⡀⠀ ⠀⡼⠠⢀⢈⠀⡞⠰⠈⠉⠉⠉⠉⠉⠀⠀⠒⠒⢠⠀⡇⠀ ⠀⡇⠀⠀⠌⢀⡇⡆⠀⠀⠲⠂⠀⠀⠀⢴⠄⠀⠀⠀⡇⠀ ⢠⡇⡤⣄⠀⢸⠁⠇⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⢸⢸⠃⠀ ⢸⡇⣘⠻⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸⠀⠀ ⢸⠁⣩⡿⠀⡆⢀⡢⠤⠄⠀⠀⠀⣀⣀⣀⣀⡀⠃⡏⠀⠀ ⣼⠀⣉⡛⠀⣷⠁⠵⠦⠤⠤⣤⣤⠀⠀⠀⡄⠀⠀⡇⠀⠀ ⣿⢸⡛⣿⣠⢃⠜⢠⢄⠀⠀⠀⠀⣀⠀⠀⠀⠀⢸⡙⠢⣄ ⡿⠀⠑⠦⢤⠊⠀⠡⠀⠃⠀⠀⠀⢃⡁⠎⠁⠀⣾⡿⢀⡜ ⠙⢦⣀⠀⢸⠀⠀⣀⠀⢀⣀⠀⠀⣏⢀⠆⠀⢀⡿⣥⡏⠀ ⠀⠀⠈⠙⠚⠶⢤⡤⣤⣤⣄⣀⣀⣀⣀⣀⣀⡸⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠜⢈⡇⠀⢀⠃⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣆⡞⠁⠀⠀⡜⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠰⣇⣛⡲⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣿⣿⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⠿⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⡄⢠⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠈⠻⠿⠛⢉⣉⣤⣤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⣿⣿⠃⣀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣼⣿⣿⣿⣿⠃⣼⣿⣿⣦⣄⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⢠⣿⣿⣿⣿⡟⢰⣿⣿⣿⣿⣿⣷⣤⡙⠻⣿⣿⣿⡿⠛⢉⣡⣤⣤⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠉⠻⣿⣿⣿⣿⣿⣿⣦⡈⠛⠁⠀⢸⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣆⠀⠀ ⠀⣴⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⢀⣤⣌⠙⢿⣿⣿⣿⣿⣿⣦⡀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣆⠀ ⢰⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠃⣴⣿⣿⣿⣷⣄⠙⢿⣿⣿⣿⣿⣷⡄⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⡀ ⣾⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠟⣠⣾⣿⣿⣿⣿⡿⠋⠀⠀⠙⢿⣿⣿⣿⠁⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢁⣴⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠈⠻⣿⡟⢠⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡏⢰⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠇ ⠀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⡟⢁⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡟⢠⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠀ ⠀⠘⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠋⢠⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡿⠁⣾⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⠁⠀ ⠀⠀⠘⣿⣿⣿⣿⣿⣆⠀⠀⠀⢀⣾⣿⣿⣿⣿⡿⠁⠀⠘⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⣴⣿⣿⣿⣿⡿⠁⠀⠘⢿⣿⣿⣿⣿⣧⡀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠃⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣿⣿⣷⡀⠠⣾⣿⣿⣿⣿⠟⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣦⠀⢀⣼⣿⣿⣿⣿⡟⠁⠀⠀⠀⠈⢻⣿⣿⣿⣿⣷⡀⢠⣾⣿⣿⣿⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣦⡈⢿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣷⡄⠻⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡄⢻⣿⣿⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣦⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣦⠙⢿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡄⠻⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠘⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣷⣄⠙⢿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⣠⣾⣷⡄⠻⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣧⠘⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣷⡌⠻⣿⣿⣿⣿⣿⣷⣄⠀⠀⣠⣾⣿⣿⣿⣿⣦⠈⠻⣿⣿⣿⣿⣿⣦⡀⠀⢀⣴⣿⣿⣿⣿⣿⡆⠸⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡏⠀⠈⠻⣿⣿⣿⡿⠋⣠⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠙⢿⣿⣿⣿⠟⢁⣴⣿⣿⣿⣿⣿⡿⠋⠀⠀⢻⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠀⠀⠀⠀⠈⠛⢁⣤⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠙⠟⢁⣴⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠘⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⢀⣀⣴⣾⣿⣿⣿⣿⣿⣿⠟⢁⣤⡀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡿⠋⣠⣶⣤⣀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣁⣴⣿⣿⣿⣦⡀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠙⢿⣿⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⣿⡿⠋⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⣿⠀⠀⠀⠀⣀⣄⡀⠀⠀⠀⠀⠀⠀⢀⣠⣀⠀⠀⠀⠀⣿⠀⠀⠀ ⢀⣴⠾⠿⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠿⠷⣦⡀ ⣼⡇⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⠀⠀⠀⠈⠙⠋⠀⠀⠀⠀⠀⠀⢸⣧ ⠸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇ ⠀⠙⢻⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡟⠋⠀ ⠀⠀⠸⣿⣿⣿⣷⣄⠀⠀⣴⡶⠾⠿⠿⠷⢶⣦⠀⠀⣠⣾⣿⣿⣿⠇⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣦⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⣤⣶⣿⣿⣿⣿⣶⣤⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⡇⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠀⠀⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣾⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⡿⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⡟⠁⠀⠀⠙⢿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡿⠋⢀⣴⡇⢸⣦⡀⠙⢿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⡿⠋⠀⣴⣿⠟⠁⠈⢿⣿⣆⠀⠻⣿⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⣿⠟⠁⣠⣾⡿⠋⣠⡆⢰⣄⠙⣿⣷⣄⠈⢻⣿⣿⣿⣆⠀⠀⠀ ⠀⢠⣾⣿⣿⡿⠃⢀⣼⣿⠟⣠⡾⠋⠀⠀⠙⣷⡌⠻⣿⣧⡀⠙⢿⣿⣿⣷⡀⠀ ⣴⣿⣿⣿⣏⠀⢰⣿⣿⠃⣴⡟⠁⢠⣶⣶⡀⠈⢻⣦⠙⣿⣿⡄⠀⣻⣿⣿⣿⡆ ⠈⢿⣿⣯⢻⣦⡈⠙⢿⣦⡈⢳⣄⠈⠛⠛⠀⣰⠟⢁⣾⠟⠋⢀⣼⢟⣾⣿⡿⠁ ⠀⠈⢿⣿⣧⠹⣷⣄⠀⠙⢿⡄⠙⡄⠀⠀⢰⠃⣰⡿⠁⠀⣠⣿⢋⣾⣿⡟⠀⠀ ⠀⠀⠀⢻⣿⡇⢸⣿⠀⠀⠀⠻⡄⠀⠀⠀⠀⢰⠏⠀⠀⠀⣿⡇⢸⣿⠏⠀⠀⠀ ⠀⠀⠀⢰⣿⠃⠘⣿⠀⠀⠀⠀⠁⠀⠀⠀⠀⠊⠀⠀⠀⢀⡿⠀⢸⣿⡄⠀⠀⠀ ⠀⠀⠀⣿⣿⠀⠀⠈⠳⠀⠀⣷⡀⠀⠀⠀⠀⣠⡾⠀⠠⠊⠀⠀⠀⣿⣷⠀⠀⠀ ⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⢹⣿⠂⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀ ⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⢻⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀

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⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟨🟨🟨🟨🟨🟨⬛⬛⬜⬜⬜ ⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜ ⬜⬛🟨🟨🟨⬛⬛⬛⬛⬛⬛🟨🟨🟨⬛⬜ ⬜⬛🟨🟨🟨🟨⬛🟨🟨⬛🟨🟨🟨🟨⬛⬜ ⬛🟨🟨🟨🟨🟨⬛🟨🟨⬛🟨🟨🟨🟨🟨⬛ ⬛🟨🟨🟨🟨🟨⬛🟨🟨⬛🟨🟨🟨🟨🟨⬛ ⬛🟨🟨🟨🟨🟨⬛🟨🟨⬛🟨🟨🟨🟨🟨⬛ ⬛🟨🟨🟨🟨⬛⬛⬛⬛⬛⬛🟨🟨🟨🟨⬛ ⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛ ⬛🟨🟨🟨⬛⬛⬛⬛⬛⬛⬛⬛🟨🟨🟨⬛ ⬜⬛⬛⬛🏻🏻⬛🏻🏻⬛🏻🏻⬛⬛⬛⬜ ⬜⬜⬛🏻🏻🏻⬛🏻🏻⬛🏻🏻🏻⬛⬜⬜ ⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠟⠛⠉⠉⠉⠉⠛⠻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣤⣤⣄⠀⠀⣠⣤⣤⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⢀⣼⣿⣿⣿⠋⢠⣤⠙⠁⠈⠋⣤⡄⠙⣿⣿⣿⣿⣄⠀⠀ ⢠⣿⣿⣿⣿⡿⠀⠈⠉⠀⠀⠀⠀⠉⠁⠀⢿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡆ ⠹⣿⣿⣿⣿⣿⠀⠀⠴⠞⠁⠈⠳⠦⠀⠀⣿⣿⣿⣿⣿⡿⠁ ⠀⠉⢻⡿⢿⣿⣧⠀⠀⠀⢶⡶⠀⠀⠀⣼⣿⣿⣿⡟⠋⠁⠀ ⠀⠀⣼⡇⠀⠀⠙⣷⣄⠀⠈⠁⠀⣠⣾⠋⠀⠀⢸⣧⠀⠀⠀ ⠀⠀⣿⡇⠀⠀⠀⠈⠛⠷⣶⣶⠾⠛⠁⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⢻⡇⠀⠀⠀⣀⣀⣤⣤⣤⣤⣀⣀⠀⠀⠀⢸⡟⠀⠀⠀ ⠀⠀⠘⣿⣴⠾⠛⠋⠉⠉⠉⠉⠉⠉⠛⠛⠷⣦⣿⠃⠀⠀⠀ ⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟦🟦🟦🟦🟦🟦⬛⬛⬜⬜⬜ ⬜⬜⬛🟦🟦🟦🟦⬛⬛🟦🟦🟦🟦⬛⬜⬜ ⬜⬛🟦🟦🟦🟦⬛🟦🟦⬛🟦🟦🟦🟦⬛⬜ ⬜⬛🟦⬛⬛⬛🟦🟦🟦🟦⬛⬛⬛🟦⬛⬜ ⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛ ⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛ ⬛🟦🟦⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟦🟦⬛ ⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛ ⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛ ⬛🟦🟦🟦⬛⬛⬛⬛⬛⬛⬛⬛🟦🟦🟦⬛ ⬜⬛⬛⬛🏻🏻⬛🏻🏻⬛🏻🏻⬛⬛⬛⬜ ⬜⬜⬛🏻🏻🏻⬛🏻🏻⬛🏻🏻🏻⬛⬜⬜ ⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣶⣶⣶⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀ ⠀⢀⣾⣯⠻⣿⣿⣿⣿⡿⠟⠛⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣷⡀⠀ ⠀⣾⣿⣿⣧⠈⠻⡿⠋⠀⠀⣀⣠⣄⣀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣷⠀ ⢠⣿⣿⣿⣿⣧⠀⠀⠀⢠⣾⣿⣿⣿⣿⣷⡄⠀⠈⣿⣿⣿⣿⣿⣿⡄ ⢸⣿⣿⣿⣿⣿⡇⠀⠀⢾⣿⣿⣿⣿⣿⣿⡷⠀⠀⢸⣿⣿⣿⣿⣿⡇ ⠘⣿⣿⣿⣿⣿⣿⡀⠀⠘⢿⣿⣿⣿⣿⡿⠃⠀⢀⣿⣿⣿⣿⣿⣿⠃ ⠀⢿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠉⠙⠋⠉⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⠀ ⠀⠈⢿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⡀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡿⠁⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣠⣾⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⡏⣰⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠼⠿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⡿⠿⢿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣴⣿⠿⠋⠉⠉⠛⠛⠿⢿⣷⣦⣄⠈⠙⢿⣿⣦⣄⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⢟⣁⣴⣶⣶⣾⣿⣶⣶⣶⣭⣛⣿⣷⡄⠀⢻⣿⣿⣦⡀⠀⠀ ⠀⢀⣾⣿⣷⣿⠿⠛⣩⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠘⣿⣿⢿⣷⡀⠀ ⠀⣾⣿⣿⠟⠁⣠⣾⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⡄⣿⣿⠈⣿⣧⠀ ⢰⣿⡿⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⠁⠁⢻⣿⣿⣿⣿⣿⡇⣿⣿⠀⢹⣿⡆ ⢸⣿⡇⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢸⣿⡇ ⠸⣿⣇⠀⣿⣿⢸⣿⣿⣿⣿⣿⣿⠃⡆⣿⣿⣿⣿⣿⣿⣿⡟⠀⢀⣾⣿⠇ ⠀⢿⣿⡀⣿⣿⠘⣿⣿⣿⣿⣿⣿⢠⡇⢿⣿⣿⣿⣿⡿⠋⢀⣴⣿⣿⡿⠀ ⠀⠈⢿⣷⣿⣿⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣋⣠⣶⣿⢿⣿⡿⠁⠀ ⠀⠀⠈⠻⣿⣿⣇⠀⠘⢿⣷⣭⣛⠿⠿⠿⣿⣿⠿⠿⠟⢋⣵⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠙⠻⣿⣷⣄⡀⠙⠻⢿⣷⣶⣤⣤⣀⣀⣠⣶⣿⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣷⣶⣾⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⣤⣶⣶⣿⣿⠉⠉⣉⣉⣉⣉⣉⣉⡉⠉⣿⣿⣶⣶⣤⣤⣄⠀ ⠀⠀⢸⣿⡏⠉⢉⣉⣉⣁⣀⣾⣿⣿⣿⣿⣿⣿⣷⣀⣈⣉⣉⡉⠉⢹⣿⡇ ⠀⠀⢸⣿⡇⢰⣿⣿⣿⣿⣿⣿⠟⠋⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸⣿⡇ ⠀⠀⢸⣿⡇⢸⣿⣿⣿⣿⠟⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⡇ ⠀⠀⢸⣿⡇⢸⣿⣿⠟⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⡇ ⠀⠀⠘⣿⣇⠈⠟⠁⣠⣾⣿⣿⣿⣿⣿⡿⠟⠛⣿⣿⣿⣿⣿⣿⠁⣸⣿⠃ ⠀⠀⠀⠛⠛⠀⣠⣾⣿⣿⣿⣿⣿⡿⠋⢠⣴⣶⣿⣿⣿⣿⣿⠇⢠⣿⡟⠀ ⠀⠀⣠⣾⣿⣿⣿⠛⢿⣿⣿⡿⠋⢠⣼⣿⣿⣿⣿⣿⣿⡿⠃⣠⣿⡿⠀⠀ ⠠⣾⣿⣿⣿⣿⣿⣧⡀⠙⠋⣀⣾⣿⣿⣿⣿⣿⣿⠿⠋⢀⣼⣿⠟⠀⠀⠀ ⢠⣾⡿⣿⡿⠋⠈⢉⣉⣀⣶⣿⠟⠿⣿⣿⠿⠛⢁⣠⣾⣿⠟⠁⠀⠀⠀⠀ ⠀⠉⠀⠈⠀⣠⣾⣿⣿⣿⡿⣿⣶⣤⣀⣀⣤⣶⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠇⠀⠙⠛⠿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⣿⠟⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜ ⬜⬜⬛🟩🟩🟩🟩⬛⬛⬛🟩🟩🟩⬛⬜⬜ ⬜⬛🟩🟩🟩🟩⬛🟩🟩🟩⬛🟩🟩🟩⬛⬜ ⬜⬛🟩🟩🟩🟩⬛🟩🟩🟩⬛🟩🟩🟩⬛⬜ ⬛🟩🟩🟩🟩🟩⬛🟩🟩🟩⬛🟩🟩🟩🟩⬛ ⬛🟩🟩🟩🟩⬛⬛⬛🟩🟩⬛🟩⬛🟩🟩⬛ ⬛🟩🟩🟩🟩⬛🟩⬛🟩🟩⬛⬛🟩🟩🟩⬛ ⬛🟩🟩🟩🟩⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩⬛ ⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛ ⬛🟩🟩🟩⬛⬛⬛⬛⬛⬛⬛⬛🟩🟩🟩⬛ ⬜⬛⬛⬛🏻🏻⬛🏻🏻⬛🏻🏻⬛⬛⬛⬜ ⬜⬜⬛🏻🏻🏻⬛🏻🏻⬛🏻🏻🏻⬛⬜⬜ ⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜

⠀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠀⣿⣦⠀⠀⠀⠀⠀⠀⣠⣴⣦⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠀⢹⣿⣿⣦⣤⣤⣄⠀⣿⣿⣿⣿⣿⣷⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡄⢸⣿⣿⣿⣿⣿⣿⠀⢻⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣇⠈⣿⣿⣿⣿⣿⣿⣧⠀⠻⣿⣿⣿⣿⣿⣿⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡀⠸⣿⣿⣿⣿⣿⣿⣷⣄⠙⠿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠀⠙⢿⣿⣿⣿⣿⣿⣿⣷⣤⡈⠙⠛⠛⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀

⠀⠀⣴⣿⣿⣿⣿⡆⢸⣿⣿⣿⣿⣿⡿⢠⣾⣿⣿⣿⣷⠀⢠⣿⣿⣿⣿⣷⡄⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⡆⠀⣴⣿⣿⣿⣿⠀⣾⣿⠁⢀⣾⣿⠃ ⠀⢀⣿⡿⠁⠸⠛⠁⠀⠀⣹⣿⡇⠀⠁⣼⣿⠏⠀⣿⣿⠀⢸⣿⡏⠀⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⢸⣿⡏⠀⣿⣿⠃⢰⣿⡏⠀⠀⠀⢀⣿⣿⢠⣿⡿⠁⠀ ⠀⢸⣿⣇⣠⣴⣾⠁⠀⠀⣿⣿⠀⠀⠀⣿⣿⠀⢸⣿⡇⠀⣿⣿⠁⢠⣿⡿⠀⠀⠀⠀⠀⠀⣼⣿⠇⠀⠀⣼⣿⠃⢀⣿⣿⠀⣼⣿⣇⣠⣴⡆⢸⣿⣧⣿⡟⠁⠀⠀ ⠀⣾⣿⣿⢿⣿⡿⠀⠀⢰⣿⡟⠀⠀⢸⣿⣿⣾⣿⣿⠇⢠⣿⣿⣾⣿⠿⠃⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⢀⣿⣿⣾⣿⠿⠃⠀⣿⣿⣿⠿⠛⠀⣾⣿⣿⣿⡇⠀⠀⠀ ⠀⠛⠉⠀⢸⣿⡇⠀⠀⢸⣿⡇⠀⠀⣼⣿⠏⠁⣿⣿⠀⢸⣿⡟⣿⣿⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⠀⠀⢸⣿⡟⣿⣿⡀⠀⢰⣿⡏⠀⠀⠀⢀⣿⣿⠋⣿⣿⠀⠀⠀ ⢰⣾⣇⡀⣾⣿⠃⠀⠀⣿⣿⠀⠀⠀⣿⣿⠀⢸⣿⡟⠀⣾⣿⠁⢸⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⠇⠀⠀⣼⣿⠃⢸⣿⣇⠀⣸⣿⣇⣀⣀⠀⢸⣿⡇⠀⢹⣿⡇⠀⠀ ⠸⣿⣿⣿⣿⠟⠀⠀⢰⣿⡿⠀⠀⢰⣿⡏⠀⣸⣿⠇⢠⣿⡿⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⠀⣼⣿⠃⠀⠘⣿⣷⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡟⣰⣶⠘⣿⣿⣿⣿⣿⣿⡿⣛⡛⣿⣿⡿⠿⠛⣛⣛⡻⠿⣿⣿⣿⣿⣿ ⣿⣿⣿⢳⣿⣿⣷⣶⣶⣶⣶⣤⣍⣰⣿⣷⠈⣡⣶⣿⣿⡿⠿⢿⣿⣶⣝⢿⣿⣿ ⣿⣿⡟⣼⣿⢟⣻⣭⣭⣭⣟⣻⢿⣿⣿⢣⣾⣿⣿⣿⡟⣾⣿⣦⢸⡿⣿⡎⣿⣿ ⣿⣿⠇⣿⢱⣿⣿⣷⣿⣿⣿⡟⣳⡝⡏⣟⣛⡻⣿⢿⣓⣙⠛⣁⣼⣿⡄⢾⣿⣿ ⣿⣿⡀⣿⡼⣿⣇⢀⡊⠹⠻⠟⣿⣿⡇⣿⣿⠇⣼⠛⠉⢻⣿⣮⢿⣿⡇⣼⣿⣿ ⣿⣿⣧⠻⣿⣮⣛⠦⢭⣛⣤⠾⢟⣵⣿⠽⣶⣆⣿⡆⠛⣡⢭⣽⣿⠟⣰⣿⣿⣿ ⣿⣿⣿⣷⣬⣙⠻⠿⠿⠿⠿⠿⠿⣛⣭⣾⣮⡛⠾⠾⠷⠷⠟⢋⣡⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⠿⠟⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠿⢷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡄⠀⠀⠀ ⠀⠀⣰⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣆⠀⠀ ⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣆⠀ ⢀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀ ⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣷⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣶⣾⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⣿⣿ ⢹⣿⡀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⣿⡿ ⢸⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⡇ ⠀⣿⣷⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣼⣿⠁ ⠀⢹⣿⡄⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⢠⣿⡟⠀ ⠀⠈⣿⣧⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⣸⣿⠇⠀ ⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀ ⠀⠀⠀⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⠿⠿⠿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀ ⠀⠀⠀⠸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣶⣾⣿⣿⣿⣿⣿⣿⣷⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⢶⣶⣶⡶⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢠⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⡄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣦⣀⠙⠛⢿⡿⠛⠋⣀⣼⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣯⣀⣠⣀⠀⠀⣀⣤⣴⣶⢾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣾⠏⠉⠀⠀⠀⠻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢀⣀⡀⠀⢀⣀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠘⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠃

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡅⠀⣸⣿⣿⣿⠿⠟⠛⠿⣿⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⠟⠁⣠⣶⣶⣦⣤⣤⣾⣷⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠉⣁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⣀⠀⠀⠀⣴⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀ ⢠⣤⣄⡀⣼⣿⣧⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀ ⠘⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠈⠻⢿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⠿⠿⠟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣴⣦⣄⡀⢀⣴⣾⣿⣦⣄⠀⢀⣤⣶⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀ ⢰⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶ ⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⣿⣿⣿⣿⠿⠟⣿⣿⠉⠉⠉⠉⠉⠉⣿⣿⠻⠿⣿⣿⣿⣿⣧⠀ ⠀⠀⠈⠁⢸⣿⣶⣶⣿⣿⣶⣶⣶⣶⣶⣶⣿⣿⣶⣶⣿⡇⠀⠉⠁⠀ ⠀⠀⠀⣰⣾⡿⠋⠉⢉⣉⠉⠉⠉⠉⠉⠉⣉⡉⠉⠙⢿⣷⣆⠀⠀⠀ ⠀⠀⠀⣿⣿⣄⡀⠀⢿⣿⠇⠀⠀⠀⠀⠸⣿⡿⠀⢀⣠⣿⣿⠀⠀⠀ ⠀⠀⠀⠈⠛⢿⣿⣤⣶⠀⠀⠀⠀⠀⠀⠀⠀⣶⣤⣿⡿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣿⣉⣤⡀⠀⠀⠀⠀⢀⣤⣉⣿⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⡁⠀⠀⠀⠀⢈⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣷⣾⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀ ⠀⣀⣴⣿⡿⠿⣿⣿⠿⠿⠿⠿⣿⣿⠿⠿⠿⠿⣿⣿⠿⢿⣿⣦⣀⠀ ⣰⣿⠟⠁⠀⠀⣿⣿⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⣿⣿⠀⠀⠈⠻⣿⣆ ⣿⣿⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣿⣿ ⣿⣿⠉⠉⠉⠉⣿⣿⠉⠉⠉⠉⣿⣿⠉⠉⠉⠉⣿⣿⠉⠉⠉⠉⣿⣿ ⣿⣿⠀⠀⠀⠀⣿⣿⣀⣀⣀⣀⣿⣿⣀⣀⣀⣀⣿⣿⣀⣀⣀⣀⣿⣿ ⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣄⣾⣿⠛⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠛⣿⣿⣿⣿⡿ ⠈⠙⠛⢿⣿⣄⣀⣠⣿⡿⠛⠛⠛⠛⠛⠛⢿⣿⣄⣀⣠⣿⡿⠛⠋⠁ ⠀⠀⠀⠈⠛⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠛⠁⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣷⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠟⠛⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⠀⠀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⠀⠀⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣶⣤⣀⠀⠀⠀⠀⠀ ⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢰⣤⣀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠉⢻⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⣇⣸⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀ ⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⡿⠀⠀⢿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⣶⣶⣦⠀⠀⠀⣰⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣆⠀⠀⠀⣴⣶⣶⣶ ⠛⠻⣿⣿⡀⠀⢠⣿⣿⠏⠀⠀⢀⠀⢤⣴⣆⠀⠀⠀⠹⣿⣿⡄⠀⢀⣿⣿⠟⠛ ⠀⠀⢿⣿⣧⠀⢸⣿⡟⠀⠸⣿⡿⠄⠘⠋⠉⣠⣤⣄⠀⢻⣿⡇⠀⣼⣿⡿⠀⠀ ⠀⠀⠸⣿⣿⡀⢸⣿⣇⠀⠀⠁⠀⠀⠀⠀⣠⣿⣿⠇⠀⣸⣿⡇⢀⣿⣿⠇⠀⠀ ⠀⠀⠀⣿⣿⣇⣸⣿⣿⡀⠀⠀⠀⢀⣤⣾⣿⡿⠋⠀⢀⣿⣿⣇⣸⣿⣿⠀⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⣿⣿⣷⡀⠀⠀⠘⡿⠟⠋⠀⠀⢀⣾⣿⣿⣿⣿⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠟⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣶⣶⡆⢰⣶⣾⣿⣿⠟⠋⠉⠉⠙⠻⣿⣿⣷⣶⡆⢰⣶⣶⣀⡀ ⢸⣿⣿⣿⡇⢸⣿⣿⣿⠏⠀⢠⣶⣶⡄⠀⠹⣿⣿⣿⡇⢸⣿⣿⣿⡇ ⢸⣿⣿⣿⡇⢸⣿⣿⣿⡄⠀⠻⣿⣿⠟⠀⢠⣿⣿⣿⡇⢸⣿⣿⣿⡇ ⠘⠛⣿⣿⡇⢸⣿⣿⣿⣿⣤⡀⠀⠀⢀⣤⣿⣿⣿⣿⡇⢸⣿⣿⠛⠃ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠠⣤⡀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⠙⠦⣄⠀⠀⠀⠀⣸⣧⠀⣰⡏⠙⣆⠀⠀⠀⠀⣠⡄⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⣿⠀⠀⠈⠳⣦⡀⠀⣿⢹⣠⡏⠀⠀⠹⣆⢀⣴⠞⣿⠁⠀⠀⠀ ⠀⠀⠀⢿⡄⠀⢸⠀⠀⠀⠀⠀⠙⢶⡿⠀⠛⠀⠀⠀⠀⠹⠋⠁⠀⣿⠀⠀⠀⠀ ⢶⣄⡀⢸⡟⣆⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⣀⡀⠀ ⠈⢻⡟⠷⣷⠈⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⠛⣿⠁⠀ ⠀⠀⢻⡄⠀⠀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀ ⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀ ⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣄⡀⣼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣆⠀⢀⡴⠟⠋⠉⠛⠻⢦⡀⠀⣴⠛⠁⠀⠀⠀⠙⢿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣦⡿⠁⠀⠀⠀⠀⠀⠀⢹⣼⠇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⣀⣀⠀⢸⠿⣇⢠⣴⣦⠀⠀⠀⢀⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡟⣦⣀⠀⢸⣿⣿⣶⣿⣤⣿⣿⣿⣿⣁⣠⣴⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠙⠛⠛⣿⠟⠁⠀⠀⠀⠈⠙⢿⡉⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⢸⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⣠⣾⣇⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣠⣞⣭⡿⠶⠶⠶⠿⠿⠶⣽⣷⡀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⢠⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⠀⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢿⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⡤⠤⠶⠶⠒⠛⠉⢈⡗ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⡁⠈⠉⠉⠉⠁⠀⠀⠀⢀⡿⠻⣄⠀⠀⠀⠀⠀⠀⣾⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠹⣆⠀⠀⠀⠀⣼⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⢠⣿⡀⠀⠀⣿⣧⠀⠀⣰⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⡼⠀⢻⣤⣤⣿⠈⢷⣠⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣰⠃⠀⢸⠇⠀⠘⣧⠀⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⣿⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣄⡀⠀⢰⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⡟⠀⠀⠀⠀⠀

⣖⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣲ ⣹⣦⣝⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⣫⣾⡏ ⠘⢾⣝⢷⣬⡛⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⢛⣵⡾⣫⡿⠃ ⠀⠰⣝⣿⣾⣿⣷⣭⡛⢷⣦⡀⠀⠀⠀⠀⠀⠀⢠⣴⡾⣛⣥⣾⣿⣷⣿⣫⠆⠀ ⠀⠀⠈⠻⢯⣿⣿⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡷⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⢿⣿⡿⠟⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠣⣿⣧⠀⠀⠀⠀⠀⠀⣼⡿⠜⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠆⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⡻⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⡘⡀⠀⠀⠀⠰⡀⠀⢦⡌⠉⠁⠒⠢⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⠀⠘⠦⣀⠀⠀⠙⢶⠏⠀⠀⠀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠒⠢⢄⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠲⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣀⣀⣀⣀⣀⣳⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⢿⣮⣦⣤⣤⡀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣧⣀⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⢿⣿⣿⣿⣶⣾⡿⠁⣠⠁⠇⣀⡤⠤⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⡖⠫⢋⠈⠋⠉⠉⠛⠛⠉⣀⠴⡁⠀⠀⡨⢀⡄⢣⠀ ⠀⠀⠀⠀⠀⢀⡴⢚⠍⠈⢠⠔⠁⠀⠀⠀⠀⠀⡠⢒⠋⠀⠸⠀⣞⠄⠈⠉⠉⠀ ⠀⠀⠀⢀⠔⡡⠊⠀⢀⠔⠀⡰⢳⡀⠀⠀⢠⠎⠀⣼⢇⠀⠀⡠⠁⠀⢀⠔⠛⠀ ⠀⢀⠔⡡⠾⠔⠒⠒⠛⠒⠳⠆⡀⢏⠒⢤⡇⠀⢠⡇⠈⠤⢠⠁⠀⢠⠇⠀⣀⣱ ⠰⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢗⠺⢄⣠⠃⢡⠀⣀⣼⡈⢀⠋⠉⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠤⣇⢀⢿⠋⠀⢸⡰⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⢠⠃⣼⠀⠀⣼⠞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡦⡙⡙⠀⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⡝⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢃⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⣴⣿⣿⣿⣿⡟⠉⠉⢻⣿⣿⡿⠋⠉⠹⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣧⣀⣀⣼⣿⣿⣷⣄⣀⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠻⠿⣿⣿⣦⡀⠀ ⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣀⠀⠀⠀⠀⣀⠈⢻⣿⣷⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⣿⡗⠀⠀⢸⣿⡇⠀⣿⣿⡇ ⠀⠀⣿⣿⠿⠋⠈⠙⠛⠛⠿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠁ ⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣶⣄⣀⣀⣀⣀⣤⣤⣸⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠃

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⠃⠀⠀⠀⠀⠸⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣶⠟⠋⠁⣰⠇⠀⠀⠀⡆⠀⠀⠹⣧⠈⠙⠻⣶⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⠏⠁⠀⠀⢠⡏⠀⠀⠀⢸⡇⠀⠀⠀⢻⡆⠀⠀⠈⠻⣷⣄⠀⠀⠀ ⠀⠀⣴⡟⠁⠀⠀⠀⢀⡾⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⢿⡄⠀⠀⠀⠈⢻⣦⠀⠀ ⠀⣼⡟⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⢻⣧⠀ ⢰⡿⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⢀⣿⣿⡆⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⢿⡆ ⣾⡇⠀⠀⠀⠀⢀⡿⠀⠀⠀⠉⠛⢿⣿⣿⣿⠟⠉⠀⠀⠀⢿⡀⠀⠀⠀⠀⢸⣷ ⣿⠁⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⡿⠛⠙⢿⡀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠈⣿ ⣿⡆⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⢰⣿ ⢸⣇⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠶⠷⢶⣄⠀⠀⠘⣧⠀⠀⠀⣼⡏ ⠈⣿⡄⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠁⠀⠀⠀⠹⣧⠀⠀⢹⡄⠀⢠⣿⠁ ⠀⠘⢿⣄⣼⠃⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠘⣧⣠⡿⠃⠀ ⠀⠀⠈⢻⣿⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⢿⡟⠁⠀⠀ ⠀⠀⠀⢸⡇⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣼⡇⠀⠀⠀ ⠀⠀⠀⣾⠁⣠⣾⠛⠿⣶⣤⣄⣀⣀⣀⣀⣀⣀⣠⣤⣶⠿⠋⠁⠸⣿⣧⠀⠀⠀ ⠀⠀⢠⣿⣿⠟⠁⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠙⣿⠀⠀⠀ ⠀⠀⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀

⢀⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⡀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢀⣄⡀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢠⣿⡿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠻⠷⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠄⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟪🟪🟪🟪🟪🟪⬛⬛⬜⬜⬜ ⬜⬜⬛⬛🟪🟪⬜⬜⬜⬜🟪🟪⬛⬛⬜⬜ ⬜⬛⬛🟪🟪⬜⬜⬜⬜⬜⬜🟪🟪⬛⬛⬜ ⬜⬛🟪🟪⬜⬜🟪⬜⬜🟪⬜⬜🟪🟪⬛⬜ ⬛⬛🟪🟪⬜🟪🟪⬜⬜🟪🟪⬜🟪🟪⬛⬛ ⬛🟪🟪🟪⬜🟪🟪⬜⬜🟪🟪⬜🟪🟪🟪⬛ ⬛🟪🟪🟪🟪⬜⬜⬜⬜⬜⬜🟪🟪🟪🟪⬛ ⬛🟪🟪🟪🟪⬜⬜🟪🟪⬜⬜🟪🟪🟪🟪⬛ ⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛ ⬛🟪🟪⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪⬛ ⬛⬛⬛⬛⬜⬛⬜⬜⬜⬜⬛⬜⬛⬛⬛⬛ ⬜⬛⬛⬜⬜⬛⬛⬜⬜⬛⬛⬜⬜⬛⬛⬜ ⬜⬜⬛⬜⬜⬜⬛⬜⬜⬛⬜⬜⬜⬛⬜⬜ ⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜

⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬛🟧🟧🟧⬛⬛⬛⬜🟧🟧🟧🟧🟧⬛⬜ ⬛⬜⬜⬜⬜⬛⬛⬛⬜⬜🌫️⬜⬜⬜⬜⬛ ⬛🟧⬜⬜⬜⬛⬛⬛⬜🌫️⬛🌫️⬜⬜🟧⬛ ⬛🟧🟧🟧⬜⬜⬜⬜⬜⬜🌫️🟧⬜🟧🟧⬛ ⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛ ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛ ⬜⬛⬛⬛🏻🏻⬛🏻🏻⬛🏻🏻⬛⬛⬛⬜ ⬜⬜⬛🏻🏻🏻⬛🏻🏻⬛🏻🏻🏻⬛⬜⬜ ⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⢀⡠⢴⣶⣶⣿⠋⠉⠉⠙⠓⠶⢶⡤⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠞⠁⠀⠈⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣵⣿⣶⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠿⢿⠛⢀⠀⠀⠀ ⠀⠀⡴⠙⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⢣⠀⠣⡀⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢣⠀ ⢠⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⡇ ⡸⠿⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⢸⠀⠈⢱ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸ ⡇⠀⠀⠀⠀⠐⠄⠀⠀⠀⠀⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⢸ ⢳⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣶⡇ ⢸⠉⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡄⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠉⣹⠻⠿⢿⠁ ⠀⣷⣶⣶⣶⣶⣶⣶⣾⣿⠛⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀ ⠀⣿⠀⠙⢿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠈⣿⠀⠀ ⢠⣿⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠁⠀⠀⢸⣿⠀⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠉⣿⠋⠙⠛⣿⣿⣿⢿⣿⡇⠀⠀⠀⠀⠀⢀⠾⠏⠀⠀ ⢸⣤⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣿⡿⠿⠀⠙⠇⠀⠀⠀⠀⠀⣬⠔⠀⠀⠀ ⠀⠋⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠖⠁⠀⠀⢰⠧⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⣤⣶⣶⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡿⠉⠉⢿⣿⠀⠀⠀⠀⠀ ⠀⣠⣤⣤⣤⣿⣿⣤⣤⣿⣿⣤⣤⣤⣄⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠈⢻⣿⡿⠿⠿⢿⣿⣿⡿⠿⠿⣿⣿⡟⠁ ⠀⢸⣿⡇⠀⣴⣿⣿⠏⠀⢀⣴⣿⣿⡇⠀ ⠀⢸⣿⣧⣾⣿⡿⠃⠀⣠⣿⣿⣿⣿⡇⠀ ⠀⢸⣿⣿⣿⠏⠀⢀⣼⣿⡿⠋⢸⣿⡇⠀ ⠀⢸⣿⡿⠁⠀⣠⣿⣿⠟⠁⢀⣼⣿⡇⠀ ⠀⢸⣿⡇⢀⣾⣿⡿⠃⠀⣠⣾⣿⣿⡇⠀ ⠀⢸⣿⣷⣿⣿⠟⠀⢀⣴⣿⣿⢿⣿⡇⠀ ⠀⢸⣿⣿⡿⠋⠀⣠⣾⣿⠟⠁⢸⣿⡇⠀ ⠀⣸⣿⣿⣤⣤⣼⣿⣿⣯⣤⣤⣼⣿⣇⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⡇⠀⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀ ⣤⣴⣶⣿⣿⣿⣿⣿⣥⣤⡄⠀⣤⣤⣼⣿⣿⣿⣿⣷⣶⣤⣄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀ ⢀⣼⣿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠿⠿⠿⠿⠿⠿⠿⣿⣧⡀⠀ ⢸⣿⡇⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⢸⣿⡇⠀ ⠀⠻⢿⣿⡆⠀⠀⠙⠁⠀⠀⠀⠀⠈⠋⠀⠀⢰⣿⡿⠟⠀⠀ ⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣦⣀⠀⠀⠀⠀⣀⣴⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⢰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⡀⠀⢀⣀⣀⣀⣀⣀⠀⠀⣿⣤⣤⣤⣤⣼⣀⣀⣀⣀⣀⣀⣀⣀⠀⣀⣀⣄⣀ ⠿⠿⠻⠿⠿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠛⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠟⠙⠛⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠾⠋⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢠⠀⠀⢠⡀⠀⢀⡄⠀⠀⡄⠀⢸⡇⠀⢠⠀⠀⢠⡀⠀⢀⡄⠀⠀⡄ ⣾⣇⠀⣾⣇⠀⣸⣷⠀⣸⣷⠀⠻⠟⠀⣾⣇⠀⣾⣇⠀⣸⣷⠀⣸⣷ ⠙⠁⠀⠙⠋⠀⠙⠋⠀⠈⠋⠀⣠⣄⠀⠙⠁⠀⠙⠋⠀⠙⠋⠀⠈⠋ ⣾⣦⠀⣾⣷⠀⣾⣷⠀⣴⣷⠀⣿⣿⠀⣾⣦⠀⣾⣷⠀⣾⣷⠀⣴⣷ ⣿⣿⠀⣿⣿⠀⣿⣿⠀⣿⣿⣠⣿⣿⣄⣿⣿⠀⣿⣿⠀⣿⣿⠀⣿⣿ ⣿⣿⠀⣿⣿⠀⣿⣿⠀⠙⠻⣿⣿⣿⣿⠟⠋⠀⣿⣿⠀⣿⣿⠀⣿⣿ ⣿⣿⠀⣿⣿⠀⠹⠿⢿⣷⣶⣾⣿⣿⣷⣶⣶⣿⠿⠏⠀⣿⣿⠀⣿⣿ ⣿⣿⠀⠻⢿⣿⣶⣦⣄⣈⢹⣿⣿⣿⣿⡏⣁⣠⣴⣶⣿⡿⠟⠀⣿⣿ ⢿⣿⣷⣦⣤⣀⡉⠛⠛⠿⣿⣿⣿⣿⣿⣿⠿⠛⠛⣉⣠⣤⣶⣿⡿⠟ ⠀⠀⠈⠙⠛⠿⢿⣿⣶⣤⣿⣿⣿⣿⣿⣿⣴⣾⣿⠿⠟⠛⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟧🟧🟧🟧🟧🟧⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬜ ⬜⬜⬜⬛🟧🟧🟧🟧🟧⬛🟧🟧⬛⬜⬜⬜ ⬜⬜⬛🟧🟧⬛⬛⬛⬛🟨⬛🟧🟧⬛⬜⬜ ⬜⬜⬛🟧⬛🟨🟨🟨🟨🟨🟨⬛🟧⬛⬜⬜ ⬜⬜⬛🟧⬛🟨⬛🟨🟨⬛🟨⬛🟧⬛⬜⬜ ⬜⬜⬛🟧⬛🟨⬛🟨🟨⬛🟨⬛🟧⬛⬜⬜ ⬜⬜⬛🟧🟧⬛🟨🟨🟨🟨⬛🟧🟧⬛⬜⬜ ⬜⬜⬛🟧🟧🟪⬛⬛⬛⬛🟪🟧🟧⬛⬜⬜ ⬜⬜⬜⬛🟧🟧🟪🟦🟦🟪🟧🟧⬛⬜⬜⬜ ⬜⬜⬛🟪🟪🟧🟪🟦🟦🟪🟧🟪🟪⬛⬜⬜ ⬜⬛🟦🟦🟪🟧🟪⬛⬛🟪🟧🟪🟦🟦⬛⬜ ⬛🟦🟦🟦⬛🟪⬛⬛⬛⬛🟪⬛🟦🟦🟦⬛ ⬛🟨🟨⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟨🟨⬛ ⬜⬛⬛🟪⬛🟦🏾⬛⬛🏾🟦⬛🟪⬛⬛⬜ ⬜⬜⬛🟪⬛🟦🟦🏾🏾🟦🟦⬛🟪⬛⬜⬜ ⬜⬛🟪⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛🟪⬛⬜ ⬜⬛🟪⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛🟪⬛⬜ ⬛🟪⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟪⬛ ⬛🟪⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟪⬛ ⬜⬛🟦🟦🟦🟪🟦🟦🟪🟦🟦🟪🟦🟦⬛⬜ ⬜⬜⬛🟦🟦🟩🟦🟦🟩🟦🟦🟩🟦⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜

⢀⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⡀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠀⠈⠻⣿⠋⠀⢸⣿⣿⡟⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠀⠀⣄⠀⣠⠀⢸⣿⡿⠀⣠⠀⠸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⠀⢸⡿⠁⠀⠉⠁⠀⢹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣤⣴⣿⣿⣿⣤⣼⣷⣤⣾⣿⣿⣦⣴⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠄⠀⠀⠀⠀⠀⠀

⢀⣀⣀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⣀⣀⡀⠀⣠⣶⣦⠀⠀⠀⣴⣶⡄ ⠘⣿⣿⡆⠀⠀⠀⣼⣿⣿⣷⠀⠀⠀⢠⣿⣿⠃⠀⠙⠿⠟⠁⠀⠀⠻⠿⠃ ⠀⢻⣿⣿⠀⠀⢰⣿⣿⣿⣿⡆⠀⠀⣸⣿⡟⠀⠀⢠⣤⣤⠀⠀⠀⣤⣤⡄ ⠀⠈⣿⣿⡆⠀⣼⣿⠇⠸⣿⣿⠀⢠⣿⣿⠁⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇ ⠀⠀⢹⣿⣿⣰⣿⡟⠀⠀⢿⣿⡇⣼⣿⡇⠀⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇ ⠀⠀⠀⣿⣿⣿⣿⠃⠀⠀⠘⣿⣿⣿⡿⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇ ⠀⠀⠀⠘⠿⠿⠋⠀⠀⠀⠀⠹⠿⠿⠃⠀⠀⠀⠀⠸⠿⠿⠀⠀⠀⠿⠿⠇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣶⣿⠟⠋⠉⠉⠙⠻⣿⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡞⣿⢿⡇⠀⠀⠀⠀⠀⠀⢹⡿⣿⢳⣄⠀⠀⠀⠀ ⠀⠀⠀⣰⠏⢸⡇⢸⡇⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠹⣆⠀⠀⠀ ⠀⠀⢠⡟⠀⢸⡇⠀⠻⣦⣀⠀⠀⣀⣴⠟⠀⢸⡇⠀⢻⡄⠀⠀ ⠀⠀⢸⡇⠀⠀⢻⣄⠀⠀⠉⠙⠋⠉⠀⠀⣠⡟⠀⠀⢸⡇⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠙⠷⣤⣀⣀⣀⣀⣤⠾⠋⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⢰⠶⠾⠷⠶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠶⠾⠷⠶⡆ ⢸⡷⠒⠒⢲⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡖⠒⠒⢾⡇ ⢸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢸⡇ ⢸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢸⡇ ⢸⣷⣤⣤⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣤⣤⣾⡇ ⠀⢷⣀⣀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣀⣀⡾⠀ ⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀

⠀⠀⠀⣰⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⢶⣶⣄⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣦⠤⠶⠶⠶⣿⠿⠛⠛⠓⠒⠲⠤⠴⠃⠀⣼⣿⣿⠄⠀⠀ ⠀⠀⠀⢿⣿⣟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠀⠀⠀ ⠀⠀⢀⣼⠟⠁⠀⠀⡀⠀⠀⠀⢀⣲⣦⣀⣤⠖⣂⣀⣀⠀⠀⢙⣿⣿⣷⡄⠀⠀ ⠀⠀⣾⠏⠀⠀⠀⠀⠉⠛⢿⣶⣮⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⣴⣿⡿⢿⣿⡄⠀ ⠀⣼⡇⠀⠀⠀⠀⠀⣀⣨⣽⣿⣿⠛⠉⠉⠉⣿⣿⣿⣿⣿⠛⠉⠀⠀⠻⣿⣿⡄ ⢰⣿⠀⠀⠀⠀⠀⠛⣻⣿⣿⡟⠙⠇⠀⠀⠀⠟⠛⢧⣝⣿⣷⣤⡑⢦⣀⠹⣿⣧ ⣼⣿⠃⣷⠀⠀⠀⣰⣿⣿⣿⠀⠀⣤⣶⣶⣦⡄⠀⠀⣿⣿⣿⣿⡛⢷⣽⣿⣿⡟ ⣿⣿⢠⡸⣷⡀⠀⣿⣿⣿⣿⠀⠀⠰⠿⠿⠆⠁⠀⢀⣿⣿⣿⡝⣿⣌⢿⣿⡟⠀ ⢻⣿⠀⢳⣿⡻⣄⠸⡿⣿⢻⣷⣶⠀⣀⣀⡀⣶⣶⣿⣯⣿⣾⣿⣞⣿⣾⠏⠀⠀ ⠘⣿⠀⠈⢿⣷⣌⡁⠀⠹⠈⠋⣿⣼⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠹⣧⠰⡄⢪⡙⠿⣿⣿⣶⣦⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠘⢧⠹⣦⡙⢶⣤⣽⣿⣿⠟⡟⣿⣿⠻⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀ ⠀⠀⠀⠀⠳⢦⣿⣦⣌⢻⣿⣿⣦⡀⠀⠀⠀⣠⣿⣿⣿⣿⠿⠿⠿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠿⠦⠤⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣯⠉⠉⠉⠉⣿⠀⣀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⡾⠋⠁⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⡷⠀⠀⣿⠁⢀⣀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡿⠀⠃⠀⠀⣿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡿⠛⠛⠛⠛⣿⠇⠀⠀⠀⣿⠛⠛⠛⠛⢿⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡿⠷⣦⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⣴⠾⢿⠀⠀⠀ ⢀⣤⡴⣷⡀⠈⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠁⢀⣾⢦⣤⡀ ⠈⠻⣤⣈⣻⣾⣷⣤⣤⣤⣤⣿⡆⠀⠀⢰⣿⣤⣤⣤⣤⣾⣷⣟⣁⣤⠟⠁ ⠀⠀⠀⠉⠉⠉⣷⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⣴⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⢻⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣟⣀⣀⣀⣀⣿⠀⠀⠀⠀⣿⣀⣀⣀⣀⣻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠀⠸⣿⣿⣿⣿⣿⣿⣿⡟⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⡆⠀⢻⣿⣿⣿⣿⣿⣿⠃⠀⣼⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣷⡀⠀⢻⣿⣿⣿⡿⠃⠀⣼⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⣿⣷⣄⠀⠙⠿⠋⠀⣠⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⠿⠛⠛⠓⠀⠀⠀⠚⠛⠛⠿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⡇⢀⣀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠘⣿⣿⣿⣿⣿⡆⠀⣤⠀⢀⠀ ⠀⢿⣿⡉⢹⣿⠇⠈⣻⣿⢶⡄⠀⢰⡶⣿⣟⠉⠀⣿⡏⢉⣿⡿⠀⣰⣿⣿⡿⠀ ⠀⠘⣿⣧⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠙⠁⠀⠀⠈⠀⣸⣿⠃⠀⢿⣿⡿⠃⠀ ⠀⠀⠙⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⠃⠀⠀⣾⠃⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣧⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⣼⣿⣿⣿⠀⠀⣸⡟⢠⣿⣤⡶ ⠀⠀⠀⣿⣿⣿⣿⣧⡀⠀⠀⠉⠉⠉⠉⠀⢀⣾⣿⣿⣿⣿⠀⢰⡿⠀⣿⣿⣿⠇ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⢠⣿⠃⠀⣿⠟⠋⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⡏⠻⠿⣿⠿⠟⢻⣿⣿⣿⣿⣿⣿⣼⡇⠀⣰⡿⠀⠀⠀ ⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠀⠀⠉⠁⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣦⡀⠀⠀⠀⣀⣤⣄⠀⠀⢠⣶⣦⣤⡀⠀⠀ ⠀⠀⠀⢀⣤⣾⡿⠛⠁⢸⣿⠟⣿⣷⡀⢠⣾⡿⠟⠛⠀⠀⠀⠉⠙⠿⠟⠀⠀ ⠀⢀⣴⣿⣿⣯⡀⠀⢠⣿⡿⠀⣸⣿⣧⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⣿⣿⠁⠈⢿⣷⣶⣿⣿⣥⣴⣿⠿⣿⣇⢀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣄⣀⠀ ⠀⠘⢿⣷⣤⣾⡿⠛⠁⢻⣿⣟⣡⣴⣿⣿⡿⠿⠛⠛⢻⣿⣿⣿⡛⠛⢿⣿⡆ ⠀⠀⠀⠙⠛⠋⠀⠀⢀⣴⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⣼⣿⣿⣿⠃⠀⣾⣿⡇ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣀⣼⣿⣿⠟⠁⠀⣾⣿⣿⡇ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣦⣠⣴⣿⣿⣿⠀ ⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀ ⠀⠀⣾⣿⠉⠀⠘⢿⣿⣿⣿⣿⣿⣷⡄⠀⣀⣀⣀⣀⣀⣀⣠⣿⣿⣿⡟⠀⠀ ⠀⠀⣿⣿⡀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀ ⠀⠀⠈⠻⣿⣶⣾⣿⠟⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⢤⣤⣤⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣶⣶⣶⣌⣟⠛⢻⣬⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠿⠀⣸⢻⠟⢿⣿⣿⢷⣶⡪⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⢟⢫⢿⡟⣾⢳⠃⠈⠀⠈⠙⢧⣽⡜⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣧⣦⠘⠏⣧⡿⣣⠀⠀⡀⠀⢂⢸⣿⣧⣹⡼⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣠⣾⣿⡾⢽⣿⠟⠈⠃⠀⠀⠙⠇⠈⢻⣿⣿⣯⣿⢶⡆⠀⠀⠀⠀ ⠀⠀⠀⢀⡿⢛⣫⣭⣶⣿⣿⠀⠐⠁⠀⠀⠀⠀⠀⣴⣿⣿⣿⢁⢿⡇⠀⠀⠀⠀ ⠀⠀⠀⣾⣾⣟⣿⣿⣻⣿⣿⡆⠀⠀⠀⠁⠀⠀⢰⡻⣿⣷⡙⣿⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⣿⣽⣿⣿⣿⡿⣯⣿⠱⡁⠀⠀⠁⠁⠀⢸⣿⣿⣿⡇⢿⣿⣿⣧⠀⠀⠀ ⠀⠀⠀⠪⣿⣿⠻⠜⣷⣾⣿⣷⣇⠀⠈⠁⠀⢠⢾⣿⣿⣿⡿⣼⣭⣾⣽⠀⠀⠀ ⠰⡒⠒⠚⠛⠛⠛⠓⠛⠛⠻⣿⡽⣆⡰⢳⡠⣾⣯⡶⠛⠓⠛⠛⠛⠛⠓⠒⠒⡖ ⠀⠙⢲⠒⠒⠒⠒⠒⠒⠢⡀⠘⣿⡿⠁⠀⢻⣿⠏⠀⡠⠒⠒⠒⠒⠒⠒⡲⠊⠀ ⠀⠀⠀⠑⢶⠒⠒⠒⠒⠒⢷⡀⠘⠁⢠⢆⠀⠉⠀⡼⠕⠒⠒⠒⠒⢲⠚⠁⠀⠀ ⠀⠀⠀⠀⠈⠳⣤⢤⣤⣄⠀⠱⡀⢠⠋⠈⢆⠀⡼⠁⢠⣤⣤⢤⡔⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣻⣯⢹⣦⠀⠱⠃⠀⡀⠈⠾⠁⢠⢫⠸⡟⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡏⢈⠏⠉⢆⠀⠀⡜⠹⡄⠀⢠⠃⠘⠺⠿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⢇⡜⠀⠀⠹⣤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣦⡀⠙⠉⠻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⣿⣇⠀⠀⠀⢽⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⣦⡀⠙⢿⢿⣿⣿⣿⣦⡀⠀ ⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⡆⠀⠀⠈⢻⣿⣿⣿⣆ ⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣷⣄⣀⣠⣿⣿⣿⠟⠁ ⠀⠀⠙⢿⣿⣿⣿⣿⣿⡿⠃⠀⠻⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⣿⣇⠀⠀⠀⣽⣿⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣷⣶⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀ ⠀⠀⢀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀ ⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀ ⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣈⠁⠀⠀⠀⠀⠀⠀⠀ ⠈⠻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⡿⠿⢿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠚⠛⠛⠛⠛⠲⠶⢶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⢠⣄⣀⣀⣀⣀⣀⣀⣀⣤⡴⠟⠃⠀⠀⠀⠀⠀ ⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⣀⣈⣉⣛⣋⣉⣿⣉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⣀⣀⣀⣀⣉⣉⡛⢲⣄⠀⠀⠀⠀⠀⠀⠀ ⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⢠⢺⠋⠛⠉⠁⢈⡉⠋⠻⣿⣴⣟⠀⠀⠀⠀⠀⠀⠀ ⣾⡇⠀⠀⠀⠀⠀⠀⠀⢀⡼⠼⢠⠊⠉⠑⢇⠀⠑⣴⠋⠀⠉⢻⣆⠀⠀⠀⠀⠀ ⢿⡇⠀⠀⠀⠀⠀⠀⣰⠟⠢⡀⠈⢦⣄⠀⠀⢳⣶⠃⠀⠀⠀⢀⡿⣄⠀⠀⠀⠀ ⢸⣧⠀⠀⣀⣀⣀⣠⡏⠀⠀⢈⣧⠬⠭⠵⠮⠭⣀⢀⣀⣠⠴⠛⢀⣸⠀⠀⠀⠀ ⠀⠹⣷⡟⢉⡥⠤⠜⠛⠀⡞⠁⠀⠀⠀⠀⠶⣆⣀⣨⡭⠓⠀⠰⠛⢹⡇⠀⠀⠀ ⠀⠀⠘⣿⠁⠀⠀⠀⠀⠀⠧⣀⣦⣀⠀⠀⢠⠛⣿⡿⠁⠀⠀⢀⠤⡎⠀⠀⠀⠀ ⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠙⠦⠭⠉⠀⠀⠈⠉⠉⠀⠀⣀⣠⣔⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⠷⠖⢂⡤⠀⠀⠀⠀⣀⠀⣀⣀⣀⠼⠿⣿⣍⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢛⣉⡽⠟⠓⠋⠛⠙⠋⠀⠢⡀⠀⢻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠖⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣼⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⢀⣀⣤⡤⢦⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣽⣧⣀⠀⠐⣫⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣀⡟⣩⠟⠁⠉⠒⢄⣀⠀⠀⠀⠀⠀⠀⣀⣠⢼⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠹⣷⡇⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠉⠉⠁⢀⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣀⣴⠟⠙⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣄⠀⠀⠀⠀⠑⢶⠿⠿⣏⠁⠀⠀⠘⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣀⣽⢷⣄⠀⠀⠀⠀⢳⡈⠙⠃⢀⣠⣼⠟⠓⢦⡀⠀ ⠀⠀⠀⠀⢠⡾⠉⠀⠀⠈⠉⠀⠀⠁⠀⠀⣀⣠⣼⠃⠀⠀⠛⠉⠁⠀⠀⠀⠙⣦ ⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠺⠿⠛⠛⠉⠉⠙⠲⣤⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠘⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⣀⣀⣀⣀⣤⠾⠃ ⠀⠀⠀⠀⠀⠀⠙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠉⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⠶⣤⣤⣤⣤⣤⠶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⣀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⠛⢦ ⠀⣠⣴⠟⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠋⠁⠙⠒⠋ ⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀ ⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠻⠷⢶⣶⣶⣶⠶⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢀⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⡀ ⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿ ⣿⣿⣿⡁⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢈⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⣴⣦⠀⠀⠀⠀⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣦⡀⠀⠀⠈⠁⠀⠀⢀⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠟⠛⢻⣿⣿⣿⣦⣴⣿⣿⣿⡟⠛⠻⣿⣿⣿ ⣿⣿⣿⣦⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣴⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⡁ ⠈⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟