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