Rina Emojis & Text

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Min_Reyna🏎

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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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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠻⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠋⠀⢀⣀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢀⣀⣀⡤⠖⠋⠁⠀⢀⡆⠀⠀⢀⣴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⡤⠚⠉⠁⠀⠀⣀⣤⣴⣶⣖⢮⣄⠀⠀⠀⠙⢿⠲⣄⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣨⠶⣶⣶⣶⣿⡿⠷⠚⠉⠀⠈⠳⣽⣟⠳⣦⣄⠀⠱⣌⠑⢦⡀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⣠⣾⡟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠀⠀⠙⠿⣦⡈⢳⡀⢙⣶⣄⠀⢀⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡟⢀⣾⢿⣿⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠈⠻⣦⡙⣄⢻⣿⣆⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠀⣾⡇⢸⣏⠀⢾⣶⣤⣦⣿⣦⣀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠖⠀⠈⢷⡘⣆⢻⣿⡃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢸⣿⣷⡸⣿⠀⠀⠀⠉⠙⠻⣿⠂⠀⠀⠀⠛⣏⡭⣥⡄⣀⣀⡀⠀⠀⣿⣜⡆⢿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣟⠙⣿⣿⠈⣿⣿⣷⣿⠀⠀⠀⠀⠀⠀⠈⠉⢁⡀⠒⠛⠿⠓⠛⠛⠛⠛⠛⠂⠀⢸⣿⣿⠘⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢦⣽⣿⡀⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⢸⡆⢹⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣠⣼⡛⢷⣄⣹⣇⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⣾⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀ ⠀⣀⣤⠴⠚⠋⠉⠀⠀⠈⠳⣄⠈⠉⢻⣿⣿⣿⣿⣿⡄⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⣠⣿⣿⣿⣿⡇⣸⣿⣿⠀⠀⠀⠀⠀ ⢾⡍⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⡿⢦⡀⠈⠻⣿⣿⣿⣿⣦⡀⠀⠘⠷⣈⠉⠉⠉⠉⢉⣽⠟⠀⢀⣠⣾⣿⣿⣿⣿⣿⣇⣿⣿⣧⡀⠀⠀⠀⠀ ⠀⢙⡷⣄⣀⣤⠤⠶⠖⠛⠉⠁⠀⠀⠙⢷⣄⠈⢿⣿⣿⣿⣿⣦⡀⠀⠀⠉⠉⠉⠉⠁⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠙⢦⡀⠀⠀ ⠀⢸⠀⠈⠛⣦⣄⠀⠀⠀⠀⠀⠀⠀⣠⣾⢿⣷⣦⡙⢿⣿⣿⣿⣿⣶⣄⠀⢀⣀⣤⢖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢠⣤⣶⣿⣄⡀ ⠀⡏⠀⠀⠀⡇⠈⠛⢦⡄⠀⠀⣀⣴⡿⠋⠀⠈⠛⢿⣷⢍⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠸⣿⣿⣿⡿⠃

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/\_/\ （OᗜO) / > >\im gonna say the n word! /\_/\ （OᗜO) / ^ ^\ nico nico nii!

⠀⠀⠀⢀⢈⡁⣼⠤⢀⠞⡁⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣇⠨⡀ ⠀⠀⠀⠘⡌⡇⢰⡤⠉⠀⠀⠄⠀⠂⠀⡠⣊⠔⠑⡏⠐⠀⠑⡃ ⠀⠀⠀⠀⢳⣿⠿⣿⣄⡀⡰⣱⠦⢔⡾⠉⠀⠐⠠⠃⠀⠈⠆⠇ ⠀⠀⠀⠀⠈⡽⠀⠉⣿⣼⣇⣿⠀⣽⠁⠈⠺⣖⠄⠀⠐⠀⡜⡆ ⠀⠀⠀⠀⠀⢹⡂⠈⠀⠘⣿⢶⢀⡇⠀⠀⠀⠀⠀⠀⣻⡞⣘⠀ ⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⢻⣾⢸⠀⠀⠀⠀⠀⠀⠐⠡⢠⠃⠀ ⠀⠠⠘⠄⣀⣤⣿⣄⣀⣤⣾⢳⣼⠑⠄⠀⠀⠀⠀⣠⢃⠂⠀⠀ ⡐⠀⠀⠀⢸⠁⠈⢉⢏⠟⠙⢦⣷⣄⣠⣿⣦⡴⠻⣏⠆⠀⠀⠀ ⠀⠀⢀⠔⠁⠀⡠⣿⠏⠀⠀⢈⣹⠟⠻⢿⠟⢱⠐⠛⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⡿⠿⠿⠟⠛⠛⠛⠿⠿⠿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣷⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣿⣶⣾⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠟⠉⢾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠆⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢂⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⡿⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠸⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⠁⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠹⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⡿⠁⢠⣿⡇⠀⠀⣤⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣶⣶⣶⣶⣤⡄⠀⠈⣿⣧⠀⠹⣿⣦⠀⠀⠀⠀ ⠀⠀⣰⣿⠏⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⢀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⠀⠀⠘⢿⣷⡀⠀⠀ ⠀⣸⣿⠃⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣶⡿⢿⣶⣮⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠀⠀⠀⠈⢻⣿⡀⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀⠘⣿⣇⠀ ⠀⢿⡇⠀⠀⠀⠀⠀⠀⠈⠻⢿⣶⣦⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣤⣼⣶⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⣿⡟⠂ ⠀⢻⣷⡀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠏⠙⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠋⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀ ⠀⠀⠻⢿⣶⣦⣤⣤⣶⣶⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣷⣶⣤⣤⣴⣶⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠈⠉⠙⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠉⠉⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⡏⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡸⠟⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀⠘⣇⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣄⠀⠀⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⠀⠀⠀⣷⣠⣿⣤⣤⣦⠀⠀⢿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣶⠆⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠘⣷⣄⠀⠀⠀ ⠀⢸⠟⢁⣴⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣶⡈⠙⠀⠀⠀ ⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⣠⠴⠚⡙⠙⠲⣤⣠⠖⢋⡛⠙⠲⣄⠀⠀ ⣴⠃⣰⠟⠉⠙⢦⡈⢁⣾⡟⠉⠳⣆⠸⣇⠀ ⣿⠀⣿⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⡿⠄⣿⠄ ⠸⡄⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣰⡏⠀ ⠀⠙⣆⠙⢧⡀⠀⠀⠀⠀⢀⡴⠃⣰⠏⠀⠀ ⠀⠀⠈⠳⣄⠙⠶⣄⣀⠴⠋⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⠓⢦⡈⢡⣰⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀

⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢛⣿⣿⣿⣿⣿⣿⣼⠀⢰⣼⣿⣿⣿⣿⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠟⠻⠿⣾⡿⠿⠛⠻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡏⢹⣶⡄⠀⠀⠀⠀⢴⣾⠛⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣇⠘⠛⠀⢀⣶⣦⠀⠘⠛⢀⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣽⣷⣶⡖⠒⢿⠟⠲⣤⣶⣿⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠞⠉⢻⣍⣳⣴⠛⢦⣒⣋⣿⠉⠳⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠉⠀⠀⠀⠈⠁⣿⠀⢴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⣠⠀⠀⠀⣿⣴⣿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣀⣀⣀⡿⣅⣀⣀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀ ⠀⠀⠀⠀⣾⣿⣿⣷⣄ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣄ ⠀⠀⠀⣀⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⢇⠠⣏⡖⠒⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⢀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⢸⣿⣿⡿⢋⠁⠀⠀⠀⠀⠉⡙⢿⣿⣿⡇ ⠀⠀⠘⣿⣿⠀⣿⠇⠀⢀⠀⠀⠘⣿⠀⣿⡿⠁ ⠀⠀⠀⠈⠙⠷⠤⣀⣀⣐⣂⣀⣠⠤⠾⠋⠁ ⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣠⠤⠔⠒⠒⠒⠒⠒⠢⠤⢤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀ ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⡇⠀⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⡇⠀⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⡇⠀⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡁⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠉⠉⠀⠀⠉⠉⢦ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁⠀

⠀⣠⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠏⠉⠳⣌⠙⠲⢄⡀⠀⠀⠀⠀⢀⣀⡤⠞⢡⠷⠊⢹⡀⠀⠀⠀⠀⣠⠴⠚⢉⡴⠋⠉⡇⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠈⠳⣄⠀⢉⣶⠴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⢴⡋⠁⢀⡴⠋⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⣸⠗⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡄⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣇⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢳⡀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡄⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠇⠀⠀⢠⣤⣴⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣶⣤⡄⠀⢘⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⠏⠀⠀⠀⠀⠁⠀⠀⠀⠈⠙⠃⠀⠀⢤⣤⠄⠀⠀⠋⠉⠀⠀⠀⠀⠁⠀⢸⠀⠘⢦⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⣠⣧⣀⠆⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣷⠖⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣸⠀⠁⢻⣀⣀⣀⣀⣀⡀⠀⠀⠐⠃⠀⢶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠶⣄⠰⣾⣍⣉⣓⣲⡤⢭⣿⣿⣦⣤⣾⣦⡀⢀⣀⣈⣉⣩⣿⠖⢀⡴⠋⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⢺⣷⣄⠀⠈⠉⠉⠉⢹⠏⣉⢻⠉⠉⠉⠉⠀⣀⣴⣿⠚⠉⠀⠀⢠⡟⠉⠈⠉⠲⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠉⠀⠛⢳⡀⠀⠀⢀⣸⠀⣿⢹⣀⣀⡀⠀⡼⠛⠂⠈⢳⡀⠀⠀⠀⠳⣄⠀⠈⠢⡈⢣⡀⠀ ⠀⠀⠀⠀⠀⠀⣇⠀⠀⠠⢼⣧⠀⠀⣽⣙⣀⣙⣋⣀⣀⣉⣽⡷⠤⠀⠀⢨⠇⠀⠀⠀⠀⠈⢣⡀⠀⠱⡄⢣⠀ ⠀⠀⠀⠀⠀⠀⠘⢶⣤⣤⡟⠙⠀⠀⡇⠀⠀⠉⠀⠀⠀⠀⠀⠙⡦⣤⣴⠋⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠁⠘⡄ ⠀⠀⠀⠀⠀⠀⠀⡟⠀⡇⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡇⢸⡀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⣠⣶⣿⣷⣤⣇⢱⠸⠀⠀⢸⠈⠻⠿⠃⠀⣾⡄⠀⢸⢸⣣⣾⣷⡶⣄⠀⠀⠀⠀⠀⡸⠀⠀⠀⣸⠀ ⠀⠀⠀⢰⣿⣾⣿⣿⡟⢿⢼⠀⡇⠀⢸⣠⢿⠏⠁⠐⢙⡻⠃⡟⣸⠋⣿⣿⣿⣿⡇⠀⢀⣠⠞⠁⠀⠀⣰⠃⠀ ⠀⠀⠀⠘⣟⠛⢻⠁⢹⣿⡘⡄⣇⠀⢸⣿⣧⣤⣿⣦⢾⣿⡆⡏⡿⣏⠉⢳⠻⢻⠟⠈⠉⠀⠀⢀⡠⠟⠁⠀⠀ ⠀⠀⠀⠀⠘⢦⠈⠛⠉⠈⡇⡇⣿⠿⣧⣼⣿⡟⢻⣿⣶⠀⢠⠃⡇⠈⠛⠋⣠⣏⣀⣠⠤⠴⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⣇⠙⢮⣑⠛⠛⠿⠃⠘⠿⢏⡠⠞⢸⠃⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠲⠤⠼⠓⠦⠤⢭⣉⣉⣉⣉⣩⠥⠴⠒⠻⠤⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

❀*ੈ✩‧₊˚

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

🧸🪁🧃🦄🔫🥺🏰🎠✨🚂🍬🎡

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠶⠾⠻⠛⠉⠀⠉⠘⠁⠙⠟⠫⠿⠶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⡲⠽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⣩⡿⣿⡖⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠁⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⢀⠵⢱⡵⡷⣶⠛⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠯⠀⠀⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢄⠀⡇⠈⠈⡆⠀⠈⠢⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠓⠀⠀⣠⠣⠳⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢃⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠓⠀⠀⠀⠀⡉⠀⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⡀⠀⠀⠂⢸⢂⠀⠀⠀⠀⠓⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⢀⠃⠀⢀⢂⣴⣷⣮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣼⠒⡉⠂⠀⠀⠀⠀⠀⠀⠈⠨⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡞⠂⠀⠀⠀⠀⠀⢘⠁⠀⠀⣸⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣾⣿⣿⣿⡇⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠣⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠟⠂⠀⠀⠀⠐⠢⠀⢸⠀⠀⠀⠸⣿⣿⡿⠁⠀⠀⠀⠰⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠺⣿⣿⡿⠡⠀⠁⠠⡇⠀⠀⠀⠀⠀⠀⢐⠁⢳⡀⠀⠀⠀ ⠀⠀⠀⣴⠇⠀⠂⠀⠀⠀⠀⠀⠀⢹⡃⠄⢮⢦⣼⣿⣦⠂⠀⠀⠀⠀⠻⠾⠾⠛⠷⣶⠟⠀⠀⠀⠀⠑⢠⣟⣻⣦⡄⠄⠀⣲⣍⢀⠀⠀⠀⠀⠀⠈⠠⢊⠽⡆⠀⠀ ⠀⠀⡼⡵⠁⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⡠⢐⣌⡻⡿⠟⠁⠀⠀⠀⠀⠀⠀⠠⠠⠀⠀⠀⠀⠀⠀⠀⠘⢙⡟⣿⢯⣠⣭⢴⣿⡯⠀⠆⠀⠀⠀⠀⠀⠀⢣⠑⣼⡆⠀ ⠀⣼⣡⠃⡄⠀⠀⠀⠀⠀⠀⠰⢦⢩⠛⠿⣿⣲⣾⣷⣬⣄⡁⠠⣀⠀⠀⠀⠀⠀⠀⠀⠠⠄⢀⠤⠀⢄⢲⣻⣿⣿⣿⠿⠟⠁⣿⡆⠀⠀⠀⠀⠀⠀⠀⠁⠆⠫⢽⡀ ⢠⣷⡁⢲⠁⠀⠀⠀⠀⠀⠀⣐⢌⠺⠀⠀⠈⢉⣻⡿⠿⣿⡷⠷⠾⠷⠿⠦⠴⡴⠴⠮⠴⠤⢷⣶⣦⣿⣿⠿⠿⢯⢥⡀⠀⠀⠹⡗⠐⠀⠀⠀⠀⠀⠀⠀⠂⡖⠘⡇ ⢸⣧⢃⠡⠆⡄⠀⠀⠀⢀⢀⠜⣼⡮⠀⣠⡶⠋⠀⠀⠀⡎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠨⢅⠀⠀⠁⠁⠻⣷⠀⠀⣿⡆⢀⠀⠀⠀⠀⠀⠈⠀⢿⣁⡗ ⠀⢻⣆⠠⢀⠀⠀⠀⢄⠀⢀⣠⡿⠁⠸⡏⡀⠀⠀⠀⢰⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⣔⣞⣀⠐⠁⣆⣀⣿⠃⠀⠘⢷⡆⠀⠀⠀⠀⠀⡀⡟⣟⣾⠁ ⠀⠀⠙⢷⡤⢅⣀⣀⣀⣠⠿⠋⠀⠀⠀⠻⣵⣄⣶⢤⡞⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣎⣿⣻⠿⠿⠋⠁⠀⠀⠀⠈⠻⣧⣄⠀⠀⠰⢣⣧⡟⠁⠀ ⠀⠀⠀⠀⠉⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠢⡠⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠉⠉⠩⣿⣦⣄⠤⠀⠀⠀⠀⠀⠀⠈⠓⠻⠾⠝⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣳⠁⠀⠀⠀⠈⠀⠹⡦⠀⠀⠀⠀⠀⠀⠀⠀⣴⡏⠀⠀⠀⠠⠖⢿⣟⠌⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠈⠂⠀⠀⠀⠀⣤⣜⡅⢄⡐⢄⠠⡄⣠⣼⠻⠆⠀⠀⠀⠼⣸⣾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠷⣤⣤⣀⣀⣶⠿⠋⠉⠉⠉⠛⠋⠁⠙⠻⣷⣤⠀⢀⣠⣖⣾⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣀⠀⠀ ⠀⣤⡶⠶⠶⠶⠶⢦⣤⣄⣀⣠⣤⡶⠶⠿⠿⠛⠛⠛⠛⠻⠿⠶⠶⣦⣤⣀⣀⣴⠾⠟⠋⠉⢀⣀⣀⠀⢻⡆⠀ ⠀⣿⠀⡆⠀⠀⣒⣢⡄⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠠⢔⣒⠉⠉⠀⢈⠀⢸⠇⠀ ⠀⣿⠀⡇⢀⣬⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠥⡄⢸⠀⣿⠀⠀ ⠀⣿⠀⣇⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡌⠀⣿⠀⠀ ⠀⢿⣄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⡇⠀⠀ ⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡄⠀ ⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⣷⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠸⣧⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢸⡇ ⠀⣿⠀⠀⠀⠀⠀⢠⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡆⠀⠀⢀⣀⣤⣴⣤⣤⣄⣀⠀⡸⠀⢸⡇ ⢠⡟⠀⠀⠀⠀⣀⣘⣿⣿⡿⠃⠀⠀⠀⢀⣆⠀⠀⠀⠀⠈⠻⠿⠟⣁⢀⣴⡟⡫⢟⣒⣒⡢⢍⠛⢷⣅⠀⣾⠁ ⠘⣧⠀⠀⠀⠎⠀⠀⢹⠀⠀⠀⠀⠀⠀⠛⠉⠓⠀⠀⠀⠀⠀⠀⣎⢠⡿⡳⢫⢞⣡⣤⣤⣌⢣⣱⡈⣿⣶⡟⠀ ⠀⢿⡀⠀⠀⠈⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⢳⢣⡿⣳⢺⣿⣿⡇⡇⡇⢹⣿⠀⠀ ⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣸⣸⣣⣧⣘⢛⣻⣇⣷⠇⣼⣿⠀⠀ ⠀⠀⠀⠈⠛⠷⢦⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣧⡧⣑⢷⣫⣭⣽⠿⢋⣼⣾⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⡟⠁⠀⠀⣀⢀⣀⣀⣀⠀⣀⣄⣀⣠⡾⣿⣿⡿⢿⣮⣁⣛⣛⣋⣩⣿⠿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠁⠀⠀⠀⠉⠛⠉⠉⠙⣿⡋⠉⠉⠙⠛⠛⠃⠈⠒⢬⠉⠛⣿⡉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠰⠶⠾⠛⠋⣿⣿⠟⠉⠛⠻⠶⠶⠶⠀⠀⠀⠘⡄⠀⢹⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⢿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠘⠃⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠈⠑⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠊⠁⠀⠈⠳⣄⠀⠀⠀⠀ ⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀⠤⠤⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⢠⠄⢄⠀⠀⠀⠈⠳⡀⠀⠀ ⠀⣠⠋⠐⠒⢂⠀⠀⠀⠀⠢⠔⠁⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⠀⠀⠀⠘⠤⠜⠀⠀⠀⠀⡠⠽⣆⠀ ⢸⠧⡀⠈⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢖⠤⣙⢆⠀⠀⠀⠀⠀⠀⡠⠊⣀⠤⣰⡖⠊⠁⠀⠀⠀⠀⠀⠀⠀⠪⢤⡿⡇ ⠈⠳⣈⠳⣄⠀⠀⠀⠀⢀⣀⠀⠀⠀⡔⠀⢻⠪⣑⢷⡖⠦⠶⣒⡾⢓⡩⠔⠉⡃⢈⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢁⡼⠁ ⠀⠀⠈⠳⢌⡳⢤⡀⠀⢇⢀⠇⠒⠤⣬⡦⠥⠄⠀⢹⡸⠀⣀⢀⡏⠡⣤⡀⠶⠚⠉⠀⠀⠀⢸⠩⢱⡠⢞⡡⠖⠉⠀⠀ ⠀⠀⠀⠀⠀⠉⢑⣻⠷⠲⣤⣤⣄⣀⣀⣠⣬⣭⢽⡻⣆⣀⣇⣠⣛⢦⣤⣤⣄⣀⣀⣀⠤⠤⠔⠿⢿⡊⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡤⠾⡍⠀⠀⠀⣀⡠⡔⠒⡄⣠⣖⣵⠿⡲⡿⠀⠀⢿⢦⠑⢵⣄⠉⠛⢳⣦⣖⡀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀ ⠀⣠⣶⠋⠑⠄⠃⠄⠒⠋⠁⠀⠑⢒⣿⣻⡟⣍⠞⢡⠃⠀⠀⠘⡎⠳⡄⠙⢧⣴⠋⢣⠈⠉⠒⠄⠀⡉⢈⠆⠉⠳⣄⠀ ⣜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠐⢈⣴⣃⡁⡞⠀⠀⠀⠀⢱⠀⠈⢦⡀⠙⢖⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳ ⠘⢦⣎⠀⡁⠀⠀⠀⢀⠀⡀⠈⠀⢀⡴⠋⠀⠀⢰⠁⠀⠀⠀⠀⠈⣇⠬⢄⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⡹⠃ ⠀⠀⠻⣍⠀⠀⠀⠀⠣⣈⠞⢀⡴⠋⠀⢀⠀⣀⡏⠀⠀⠀⠀⠀⠀⢸⡤⠜⠀⠀⠙⠦⡀⠀⡔⠐⡄⠀⠀⠀⣠⠞⠁⠀ ⠀⠀⠀⠈⠑⢤⡀⠀⢀⡡⢶⠃⠀⠀⠀⠸⠄⢼⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⣷⢥⡂⠁⢀⡠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⢠⠇⡄⠢⡀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠂⠐⡸⡄⠈⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠃⠔⠁⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣠⡕⠟⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠠⣰⢏⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠠⡺⡁⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⣠⡆⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢠⣆⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡴⠁⢇⢰⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠒⠄⣸⠈⢦⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⣀⡜⠁⠀⠸⡌⠁⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠒⢡⠇⠀⠀⢫⡈⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⡟⠀⠀⠀⠀⠹⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠎⠀⠀⠀⠀⢻⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠹⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠎⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠤⠄⠀⠀⠀⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠒⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠴⠚⠒⠀⠀⠸⠦⢐⣄⡀⠀⠀⠀⠀⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣤⣶⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⢁⠔⡹⠋⠤⡀⣐⢂⠀⠈⠙⢦⡀⠀⠀⠀⠀⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠲⣤⣯⣸⣿⣇⠲⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠌⢠⡣⠊⠔⠁⠀⠐⠀⠀⠱⠀⠀⠐⠝⢄⠀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⣿⡁⠠⡄⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠎⢠⡟⠁⠎⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⣽⢑⢢⣰⢰⣧⠀⠀⠀⠀⠀ ⠀⠀⡌⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⢘⡆⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⢀⠔⠋⡰⠹⣧⡗⠀⠀⢻⣆⠀⠀⠀⠀ ⠀⠰⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣄⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠈⣧⠀⠀⠀⠂⠁⠀⡰⠁⠃⠹⡇⠀⠀⠀⢟⡆⠀⠀⠀ ⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠣⡀⠀⠀⠀⠘⡄⠀⠀⠀⠀⢸⡣⠀⠀⠀⠀⡔⠁⠀⠰⢀⡆⠀⠀⠀⠈⢱⠀⠀⠀ ⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠳⣦⡀⠀⢣⠀⠀⠀⠀⠸⣳⣅⠀⡠⠊⠀⢠⠀⠀⡌⡇⠀⠀⠀⠀⢘⣇⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠠⠖⡇⡗⠈⠉⠁⠀⠙⠷⣬⡆⠀⠀⠀⠀⣿⣿⡟⠁⡠⢂⠂⢀⢄⠅⣇⠃⠀⠀⠀⠈⢾⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⡀⠀⠀⡄⣼⡅⢀⡀⠀⣀⣤⣠⣤⣧⣀⢀⠀⠀⢸⡿⣯⡽⣦⠁⢀⠎⠘⢠⠏⠀⠀⠀⠀⠀⠈⡇⠀ ⠀⠀⠀⠀⠀⠀⣧⢋⠀⡀⠋⢠⡇⠀⢠⣶⠻⠚⣡⣾⣿⣿⣿⡿⡻⡿⣿⠋⠀⠀⢸⢡⠍⠁⠳⣄⠌⡠⢡⣿⠀⠀⠀⠀⠀⢸⣄⢰⠀ ⠀⠀⠀⠀⢠⡏⡏⢮⣆⢧⡤⠾⠧⠞⠑⠁⠀⠀⠰⠏⠘⣏⠙⠚⢃⣿⠃⠀⠀⠀⠀⣘⣆⠘⣴⢋⠜⣠⣿⠇⠀⠀⠀⠀⠀⡴⡟⡄⢇ ⠀⠀⠀⠀⠘⣼⡇⣼⡿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠒⠉⣎⠀⠀⠀⠀⢀⠛⣡⣶⠗⡁⣼⡏⡜⠀⠀⠀⠀⠀⣰⠇⣿⠙⣼ ⠀⢱⢀⠀⠘⣽⣿⣿⣧⠘⣟⢻⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⡄⠀⠀⠀⣷⣶⢋⢔⣴⠟⢹⣰⠇⠀⠀⠀⣀⣴⡏⠀⡇⣠⡟ ⢰⡸⢯⡆⢄⠈⢿⡊⢫⡑⠌⠗⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⣾⡇⠀⠀⢠⣿⢳⠎⣰⣁⠀⢸⡏⢰⠀⠀⠀⠱⡉⡃⢀⠟⠋⠀ ⠸⡇⠘⣿⢼⣶⡌⠓⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⣷⠀⠀⢸⡏⢸⣾⡁⠀⠁⠈⣏⡀⠣⣦⣀⠑⢙⡧⡚⠀⠀⠀ ⠀⡿⣤⣿⠹⡀⠁⠰⠀⠀⣧⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠁⠀⣠⡏⠀⠀⣾⠀⠀⡏⠋⢳⡀⠀⢿⡧⣤⣍⠑⠂⠤⣎⠟⠒⠀⠀ ⠀⠱⡄⢸⠀⡇⠀⠀⡀⠀⢸⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡞⠁⢃⣠⢊⡜⠀⣀⡱⡄⠀⠀⠀⠈⠓⠐⠋⠀⠠⠜⠋⠀⠀⠀⠀ ⠀⠀⠹⢾⡆⢱⢠⠀⠀⡄⢸⠁⠀⠈⠁⠐⠢⢄⣀⡤⠖⢺⣳⠏⠀⢚⠋⢀⣼⡗⠛⠉⠁⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡇⠘⣜⣆⠀⢣⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⣶⠞⡟⡀⡾⠟⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⣀⣿⠺⣄⣸⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡜⣻⡻⠋⠀⠀⠀⠀⣀⡴⣶⣿⡿⢷⡤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣷⢻⡄⢇⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣯⣷⠀⠀⠀⣀⡠⠔⢬⣯⣞⣙⣿⡿⣦⠀⠛⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣌⣦⠸⣀⢷⣄⠀⠀⠀⠀⠀⠀⣀⣴⣺⣿⢣⠛⠀⣀⠜⠉⠀⣠⡺⠋⠸⢅⣸⣏⣙⣷⡄⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠃⢻⣄⠹⡀⠀⠀⠀⠀⣀⣼⣿⠟⣡⠟⠕⢃⡠⠊⠀⠀⠀⣰⠟⠀⠠⠒⠀⡨⠋⠂⠙⠢⢧⡀⠈⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠿⠳⣷⡆⠀⢀⡾⢡⣾⡵⢻⠃⢀⠔⢣⣤⣄⠀⠰⣪⠟⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠙⢆⠀⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢸⢃⡿⠕⢀⣮⠞⠁⠀⠰⣫⠉⠉⢿⡀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠘⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⡾⠃⡀⠛⠁⠀⠀⠀⠀⠁⢇⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⡠⠊⠀⠀⠀⠀⠀⠀⠀⠚⢂⣯⢀⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠚⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢁⠜⠀⠀⠀⠀⠀⠀⠀⢀⡠⢾⣹⡆⡱⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡷⠁⠀⠀⠀⠀⢀⡠⠴⢊⣁⣀⡀⠛⠧⠒⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡼⠇⢀⣀⠀⠤⠾⠓⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⋆₊˚ʚ ᗢ₊˚✧ ﾟ.

.∆~~~~∆ ꒰   ω⁠ω⁠ω    ꒱ ꒰〃•  ｴ  •〃 ꒱ ꒰     ~~       ꒱        ꒰               ꒱ ꒰               "~︷~︷O    ꒰                             ꒱         ꒰    ꒰   ꒰~︷~꒰      ꒰

👩🏼‍🍼👩🏼‍🍼👩🏼‍🍼👩🏼‍🍼“ʏᴏᴜ ᴘʀᴏʙᴀʙʟʏ ᴅᴏɴ’ᴛ ʀᴇᴍᴇᴍʙᴇʀ ᴍᴇ..ʙᴜᴛ ɪ ʀᴇᴍᴇᴍʙᴇʀ ʏᴏᴜ” . ／＞-🌱-フ 　　　　　| 　_　 _ l 　 　　　／` ミ＿xノ 　　 　 /　　　 　 | 　　　 /　 ヽ　　 ﾉ 　／￣|　　 |　 | | 　| (￣ヽ＿_ヽ__) _) \_\ 💭🐇🖇

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⠀⠀⠀⢸⣿⣿⢃⡀⠀⠀⠀⠀⠀⢀⡤⡐⠠⡀⢻⡟⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⢿⢿⣿⠿⠿⠀⠀⠰⠁⠹⠆⠀⢸⠀⠀⠀⢀⢸⡆⠀⠀⠀⠀⠀ ⣀⣠⣀⠀⡿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠦⠷⠤⠀⠀⠀⠀ ⣿⣿⣿⣾⣿⣧⡷⠀⠀⠀⠠⣠⠀⠄⠀⠀⠀⠀⡐⣡⣶⣦⣤⣄⣄⣀⡀⡀⢀⡀ ⠿⠿⣿⣿⣿⣿⣿⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⣸⡿⠏⠉⠁⠈⠁⠉⠉⠹⠿⠉ ⠀⠀⠀⠀⠉⠻⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⡀⠀⠀⣸⣿⣿⣦⣄⡀⢀⠀⣀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢁⠀⢰⣿⢸⠁⠹⢿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⡀⠀⠀⠀⠀⠀⢀⣽⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢸⠀⡏⠀⠀⠀⠀⠉⢃⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣷⠓⠀⠀⠀⠀⠀⠀⠈⣧ ⠀⢸⠀⠇⠀⠀⠀⠀⠀⠀⠅⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⠉⡦⠀⠀⠀⠀⠀⠀⠀⢛ ⠀⢸⡄⠅⠀⠀⠀⠀⠀⠀⢐⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢏⢎⣽⡓⡏⠁⠀⠀⠀⠀⢀⠸ ⠀⠈⣷⠊⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⢧⢁⡏⠀⠈⠊⠀⠀⠀⠀⠀⠐⢪ ⠀⠀⠸⣯⢉⠀⠀⠀⠀⠀⠀⠣⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣩⢏⠁⠀⠀⠀⢸⢮⠆⠀⠀⠀⠀⠸ ⠀⠀⠀⠹⣧⠑⡠⠀⠀⠀⠀⢀⡇⡀⠈⣇⢀⣠⣤⠴⠖⠒⠛⠉⠉⠉⠉⠉⠉⠙⠳⠾⡿⢠⡀⠀⠀⠀⢸⠨⢢⠀⠀⠀⠀⡤⠏⠀⠀ ⠀⠀⠀⠀⠘⣧⡽⠷⢦⣄⡞⠛⠓⢦⡄⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠸⣀⡐⠀⠐⡇⠀⡇⠉⠈⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⣠⠿⢦⡀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠻⢿⣤⠇⡗⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⡷⠀⣏⠀⢀⡗⠚⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠻⣷⡋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡀⠀⠈⣹⡋⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣽⠒⠛⠉⠙⠲⠖⠋⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⠒⠋⠉⠉⠙⠛⠒⠦⢤⣄⡀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⢶⣄⠀⠀⠀⠀⠘⣧⠀⡀⠀⠀ ⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⢻⢰⠟⠀⠀ ⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠙⣧⡀⠀⢸⡟⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢨⠏⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⢀⣴⣏⠀⠀⠘⣧⠀⢸⠃⠀⠀⠀ ⠀⠀⠀⠀⢸⣆⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⣶⣤⣤⣤⣼⣿⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠙⢿⠿⣿⠋⠉⠀⠀⠀⡿⡗⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣏⠀⠀⠀⠀⠀⠰⡟⠀⠀⠀⠀⠀⠹⠏⠻⠇⠉⠀⠀⢰⡞⠋⠉⢉⡗⠀⠀⠶⠫⠞⠁⠚⠁⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⡇⠀⠀⠀⠠⠞⠡⠞⠰⠞⠀⠀⠀⠀⠉⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣆⢀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣿⡆⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⣀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠦⢄⣙⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⣠⣄⣀⣀⣀⣀⣤⡴⠖⠿⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣋⣥⡶⠖⠛⠛⠉⠉⠙⠛⠓⠒⠒⠲⢿⡅⠀⠙⣿⠋⠙⣧⠀⠀⠀⠀⠀⠉⠙⠲⢦⣄⠀⠀⠀⠀⠀⢀ ⠀⠀⣀⣀⡀⠀⠀⠀⡞⠁⠘⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠿⠂⢦⠀⣤⣼⣿⣄⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠆⠀⠀⠀⠀ ⣰⣏⡁⠀⠉⠛⢦⣧⠀⠀⠀⢙⣿⡿⠟⢷⡄⠀⠀⠀⠀⢀⣾⡿⢷⣤⣀⣲⣾⣿⣿⣯⠉⠻⣷⣴⡀⠀⣤⡶⠋⠁⠙⣿⠀⠀⠀⠀⠘

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⡇⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠚⠉⣸⣿⣅⣀⠀⠀ ⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣷⣾⠿⠿⠿⠿⠛⠉⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡎⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠛⠛⠛⠛⢛⠛⠛⠻⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⡀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰ ⣿⣿⣿⣿⣿⣿⠿⠛⠛⠉⠉⢀⣤⠞⠋⠀⠀⠀⠀⢀⡤⢀⡤⠚⠁⠀⠀⠀⠀⠀⠀⣠⠴⠂⠀⠈⠉⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⢀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿ ⣿⣿⣿⣿⠏⣠⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠈⠉⠛⠿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿ ⣿⣿⣿⢏⡴⠃⠀⠀⢠⡞⠁⠀⣠⠔⠀⣠⢞⣡⠞⠁⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⣠⠄⠀⡠⢻⠁⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⢀⣴⣿⣿⠉⠉ ⣿⣿⡷⠋⠀⠀⠀⣰⠋⣀⠴⠋⠀⣠⠞⢡⠟⠁⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⣀⡴⠊⢁⡴⠊⢁⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣦⡀⣠⣾⣿⡟⠉⠀⢀ ⡿⠏⡀⠀⢀⣠⣾⠷⠋⠁⠀⣠⠞⠁⢠⠏⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⣀⡴⠚⠁⣠⠔⠋⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣸⠁⠙⢿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠃ ⣁⣠⠵⠞⠛⠉⠀⠀⠀⣠⡾⣡⠄⢠⡟⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⢀⣠⠴⠚⢁⣤⣶⣋⡁⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⢠⡇⠀⠀⠀⠙⢿⣿⣿⣿⣿⣷⣦⡤⠂ ⠁⠀⠀⠀⠀⢀⣠⢴⡾⣫⣾⠃⢠⣿⠁⠀⠀⠀⠀⠀⡀⢠⣏⡠⠴⢚⣉⠤⠖⠛⠁⠀⠀⠀⠈⠙⠳⠦⣼⠁⠀⠀⠀⠀⠀⠀⠀⡜⠁⢠⢿⡇⠀⡜⢠⠀⠀⠙⢿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⢠⠞⢁⣞⡽⢡⡏⠀⡞⡞⠀⠀⠀⠀⠀⠀⢷⣿⠵⠒⣯⡉⠀⢠⡄⠤⠤⠤⣀⣀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⢸⠁⠀⠀⡟⢠⢀⠀⡀⠻⣿⣿⣿⣷⣾ ⠀⠀⠀⠀⠀⢀⣾⡿⠁⣼⠀⢸⢡⡇⠀⠀⠀⠀⠀⠀⡞⣿⣿⡿⠿⠿⠿⠿⠿⣿⣿⣶⣤⣄⠉⠳⣄⡀⡇⠀⠀⠀⠀⠀⠀⠀⡼⣲⠋⡇⢸⠀⠀⢰⠃⡆⢸⢠⢹⠀⠙⣿⣿⣿⡏ ⠀⠀⢀⣠⠴⠛⡿⣧⣴⡏⠀⡏⢸⠇⠀⠀⠀⠀⠀⢸⠁⢹⡇⠀⠀⣠⠖⢻⣟⠲⢮⡙⢿⣿⡗⢆⠘⡅⡇⠀⠀⠀⠀⠀⢀⡞⣰⠇⠀⣷⢸⠀⠀⣾⠀⢧⠈⣿⢸⢠⠀⠸⣿⣿⣿ ⣶⣚⣉⠤⠤⠾⣧⠘⣇⣷⠀⠃⢸⡀⠀⠀⠀⠀⠀⣿⠀⠘⡇⠀⡾⠥⠞⠉⠁⠹⣾⣷⠀⠘⢿⡌⠀⢹⡇⠀⠀⠀⠀⠀⡼⢠⠏⠉⠛⢿⣼⠀⢰⣇⠀⠘⠦⣿⠀⢿⠀⠀⢿⣿⣿ ⠀⠀⠀⠀⠀⢀⢿⣦⡈⠻⣇⠀⠸⡇⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⣼⠀⠀⠈⠧⠀⠀⡇⠀⠀⠀⠀⢸⢣⡏⠀⠀⠀⢸⣿⠀⢸⢻⠀⠀⢸⣿⡀⠈⠐⡆⢸⣿⣿ ⠀⠀⠀⠀⠀⠁⢈⣯⢳⣄⠘⡄⠀⢷⠀⠀⠀⢸⡀⢹⡀⠀⠀⠀⠹⠤⣀⡀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⣷⠀⠀⢰⠂⡏⡾⠀⠀⣀⠀⠀⣿⡇⡾⣾⡄⠀⢸⠃⠃⠀⠀⣧⢸⣿⣿ ⠀⠀⠀⠀⠀⣠⠞⢈⣿⡉⠛⣿⣆⠘⣆⠀⠀⠀⢳⡀⢷⡀⠀⠀⠀⠀⠀⠉⠓⠚⠉⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⢸⣶⣿⠇⣀⡬⢭⣉⠲⣼⣇⡇⠘⡇⢐⡿⠀⠀⠀⢰⡟⢸⣿⣿ ⢦⣀⠀⣠⣾⠏⢀⣾⣿⡇⠀⣿⢯⣧⣘⢦⡀⠀⠀⢻⣦⣳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⢸⢻⣿⣴⣾⣿⡿⢿⣷⣌⢿⡇⠀⣧⣼⠁⠀⠀⠀⣼⡇⣸⣿⣿ ⡄⠈⠛⠳⠧⣤⣾⠿⠋⠀⠀⡿⠈⢣⡘⣿⠿⠦⣤⣬⡄⠈⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⢿⠈⣿⡯⠿⠳⣝⣦⠙⣿⡾⠃⠀⣿⠃⠀⠀⠀⢠⡿⢡⣿⣿⣿ ⠛⠷⣤⡀⠀⠀⠀⠀⠀⠀⣰⠇⡇⠀⢳⡘⢦⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣸⡾⠁⠱⠄⠀⢻⣿⠀⠸⣿⣖⡾⠃⠀⠀⠀⠀⡼⢣⣾⣿⣿⣿ ⠀⠀⠈⠛⢶⣤⣤⣤⠤⢾⣿⡄⢡⠀⠀⠙⣎⢳⡀⠀⢸⡄⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣄⠀⢀⡐⢻⡟⠀⢠⣿⡿⠷⠄⠀⢀⣠⢞⣵⠿⣿⣟⢻⣿ ⣦⡀⠀⠀⠀⢻⣿⣦⣴⠋⡏⣇⠘⢧⡀⠀⣏⣷⣽⣦⣄⠹⣄⠀⠀⢀⡟⠃⠈⠉⠹⠗⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠷⢤⠤⠊⢀⣴⡿⠋⢀⡼⠒⠚⠿⠚⢋⡇⠘⣿⠻⣿⣿ ⢹⣿⣦⡀⠀⠀⠹⣿⣿⠀⠹⣼⡄⠈⠛⡄⢹⣼⡈⢿⠈⠙⠛⠓⠒⠘⡇⠀⠀⠀⠀⠀⠈⠲⡍⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠠⢄⣤⣖⣋⣤⢶⡿⠁⠀⠀⢀⡾⣸⠀⠀⣏⠀⠙⣟ ⠀⠈⢿⡷⣄⠀⠀⢿⣿⣧⠀⠹⣧⠀⠀⠃⠆⢿⣧⠈⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⣟⡵⠋⠀⠀⠀⢀⣾⠁⡟⠀⠀⣿⡀⠀⢈ ⠀⢀⣽⣧⠈⢷⡀⠸⡎⢻⣷⡀⠘⢧⡀⠀⠀⠸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⢠⣀⠀⢀⣾⣿⠿⠋⠀⠀⠀⠀⣠⣟⣽⣸⠁⠀⠀⣿⡇⠀⠀ ⡁⠊⢿⣿⠀⠀⠙⡄⢷⠀⠙⣿⣦⡈⠛⣦⡀⠀⠹⣿⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⣀⣠⠤⠚⠉⠀⠀⠀⠀⠀⠀⠙⣿⣭⡉⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⡏⠀⠀⢸⣿⡇⠀⠐ ⣶⣿⣿⣿⡆⠀⠀⡀⢸⡆⠀⠈⢻⣿⣦⡀⠙⢦⣀⢻⡀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢾⠁⢸⢹⠙⠛⢉⠹⣿⣿⣿⣿⣿⣿⣆⠀⠀⣾⡇⢹⠀⠀ ⣿⣿⣿⣿⡇⠀⠀⣷⠀⡇⠀⢀⡀⢿⣿⣿⣦⡀⠙⠻⣿⣆⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⠴⠚⠋⠀⢸⠀⣿⠘⡆⠀⢠⢸⣿⢿⣿⣿⣿⠿⣿⣆⣾⡟⠀⢸⠀⡇ ⣿⣿⣿⣿⡇⠀⠀⡟⠀⣷⠀⡾⠀⠘⣿⣿⣿⣷⡄⠀⠈⠻⣧⡀⣹⡷⢤⣀⣤⡤⠶⠶⠞⠛⠋⠉⠉⠁⢀⠀⠀⠀⠀⢸⠀⣿⠀⢱⡀⣘⢸⢘⣿⣿⣿⡋⠄⠿⢿⣯⠀⠀⣼⡐⢳ ⣿⣿⣿⣿⡇⠀⢀⡇⠀⢺⠀⡇⠀⠀⢻⣿⣿⣿⣿⡀⠀⠀⠈⠻⣿⣷⣾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⢸⠀⡇⠀⠀⢳⡈⢹⡉⠸⡽⣜⣧⠀⠀⠀⠙⢷⡀⠻⠒⠋ ⣿⣿⣿⣿⣧⠀⣸⠁⠀⢸⢸⠃⠀⠀⢸⣿⣿⣿⣿⣷⠀⠀⠀⢀⡘⣿⣿⡿⠳⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠈⡇⣧⠀⠀⠀⠹⣌⢧⠀⢳⠙⣎⢷⡀⠀⠀⠈⠻⣄⠀⠀ ⣿⣿⣿⣿⡿⢀⡏⠀⠀⣼⣾⠀⠀⠀⠈⣿⣿⣿⣿⣿⣇⠀⠀⠀⠙⠞⢞⢿⣖⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⢻⡀⠀⠀⠀⠈⠻⣷⣤⣧⠘⢯⣳⣄⠀⠀⠀⠙⢧⡀

⠀⠀⠀⠀⠄⠠⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢀⣢⣈⣉⠁⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⢠⣾⢷⢶⣄⣕⠢⢄⠀⠀⣀⣠⠤⠔⠒⠒⠒⠒⠒⠒⠢⠤⠄⣀⠤⢊⣤⣶⣿⡿⣿⢹⢀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⠈⣿⢫⡞⠛⡟⣷⣦⡝⠋⠉⣤⣤⣶⣶⣶⣿⣿⣿⡗⢲⣴⠀⠈⠑⣿⡟⡏⠀⢱⣮⡏⢨⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⡅⣹⣿⠀⠀⢩⡽⠋⣠⣤⣿⣿⣏⣛⡻⠿⣿⢟⣹⣴⢿⣹⣿⡟⢦⣀⠙⢷⣤⣼⣾⢁⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡀⢳⣟⣶⠯⢀⡾⢍⠻⣿⣿⣽⣿⣽⡻⣧⣟⢾⣹⡯⢷⡿⠁⠀⢻⣦⡈⢿⡟⠁⡼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢷⠠⢻⠏⢰⣯⡞⡌⣵⠣⠘⡉⢈⠓⡿⠳⣯⠋⠁⠀⠀⢳⡀⣰⣿⣿⣷⡈⢣⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣎⠀⣿⣿⣷⣾⣷⣼⣵⣆⠂⡐⢀⣴⣌⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣷⣀⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠑⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⢽⣧⡤⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣈⢹⣟⣿⣿⣿⣿⣿⣻⢹⣿⣻⢿⣿⢿⣽⣳⣯⣿⢷⣿⡷⣟⣯⣻⣽⠧⠾⢤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢇⠤⢾⣟⡾⣽⣿⣽⣻⡗⢹⡿⢿⣻⠸⢿⢯⡟⡿⡽⣻⣯⣿⣎⢷⣣⡿⢾⢕⣎⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⡞⡟⣻⣮⣍⡛⢿⣽⣻⡀⠁⣟⣣⠿⡠⣿⢏⡞⠧⠽⢵⣳⣿⣺⣿⢿⡋⠙⡀⠇⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠠⠁⠀⢻⡿⣛⣽⣿⢟⡁⣭⣥⣅⠀⠀⠀⠀⠀⠀⣶⣟⣧⠿⢿⣿⣯⣿⡇⠀⡇⠀⢀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⡇⢹⣾⣿⣿⣷⡿⢿⢷⡏⡈⠀⠀⠀⠀⠀⠀⠈⡹⡷⡎⢸⣿⣿⣿⡇⠀⡇⠀⠸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡄⠂⠖⢸⣿⣿⣿⡏⢃⠘⡊⠩⠁⠀⠀⠀⠀⠀⠀⠀⠁⠀⠁⢹⣿⣿⣿⡇⢰⢁⡌⢀⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢷⡘⠜⣤⣿⣿⣿⣷⡅⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⣕⣼⣠⡵⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣻⣿⣾⣿⣿⣿⣿⣾⡄⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣿⣻⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣳⣿⡸⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⢡⣿⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⣽⠉⠀⠒⠂⠉⣯⢹⣿⡿⣿⣿⣿⣿⣿⣯⣿⡇⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡏⣼⡿⣿⣻⣿⣿⣿⣿⣿⢿⣻⡿⠁⠘⡆⠀⠀⠀⢠⠇⠘⣿⣿⣽⣿⣿⣿⣿⣯⣿⣷⣸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡟⢰⣾⢿⣿⣟⣿⣿⣿⣿⣿⡟⣿⣧⠀⠀⠈⠣⡄⡰⠋⠀⢀⢾⣿⡛⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢁⢦⣿⣻⣿⢿⣻⡽⣾⢿⡿⢷⣽⣻⠃⠂⠴⣎⠘⠦⡸⠠⠄⢻⣟⣿⠻⣿⣻⢷⣯⢿⣿⣽⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⡇⠎⣼⡷⣿⣟⣿⣯⢿⣽⣞⡇⣸⣷⡇⠰⠗⠐⣺⣀⣼⠒⠒⠦⠰⣿⣯⠇⢳⣯⣿⣞⣿⢾⣿⢿⢳⡄⠀⠀⠀⠀ ⠀⢸⡿⢠⣿⣻⣿⢿⣼⣿⣿⣿⣼⣄⡻⢼⣧⠀⣀⣼⠟⣻⡟⢧⣤⣄⢠⣿⡃⢼⣿⢧⣿⣿⡿⣟⣿⣿⡄⢻⡀⠀⠀⠀ ⠀⣼⠀⣾⡷⣿⣿⣿⢾⣿⣿⢾⠗⣛⡥⣾⠟⣞⠉⢀⣠⠙⢰⣀⡈⢙⡟⣿⣽⣲⢭⢛⣿⣿⣻⣽⣾⣷⣷⡀⠱⡀⠀⠀ ⢠⢛⣰⣿⣟⣿⣿⣿⣿⣿⢯⣿⣧⢹⣽⣻⢾⣮⣷⣠⠗⢪⠐⢧⣼⣷⣶⣾⢷⣯⠏⣼⣿⣻⣯⣿⣿⣿⣯⣷⡄⢣⠀⠀ ⡌⡆⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣦⡹⣿⣟⣾⣳⣿⣧⣼⣴⣝⣛⢾⣷⣯⣿⢊⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⠈⡇⠀ ⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣍⡻⣿⣿⣿⣿⡄⣷⣯⣟⣿⡿⢟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠐⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠶⢶⣷⣦⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠲⡄⣠⣾⠧⠋⠀⠀⠀⠀⠀⠀⣀⡤⠶⠿⠿⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠉⠀⣠⡴⠶⣤⡀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⢦⣤⣄⡀⠀⠀⠀⠀⠀⠈⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠶⠋⠀⠀⣀⡾⠁⠀⠀⠈⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣤⡤⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠶⣤⣄⡀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⣠⣤⣤⣴⠞⠉⠀⢀⣠⡾⢻⠇⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠁⠀⠀⢻⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⣤⣀⠀⠀⠈⢳⣄⢀⣀⣴⠿⣿⡿⠃⠀⣠⡴⠛⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⢸⡇⠀ ⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢄⣠⣤⠷⠛⠉⠁⢠⣿⠀⣠⡞⠋⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠉⠛⠶⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡾⠛⠉⠀⠀⠀⠀⠀⢸⣿⠞⠉⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀ ⠀⠀⠀⠀⠀⠈⠉⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⢾⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⢀⣀⣀⣀⣀⣀⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⢷⡄⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠿⠛⠛⠉⢉⣉⣹⣛⠛⠛⠳⣶⣤⡀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡁⢀⣹⠖⠒⣦⠀⠀⠉⠛⠛⠒⠺⠃⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⣠⣾⣯⡉⠉⣙⣷⣆⠀⠀⠉⠻⣶⣄⠀⢀⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠛⣏⣹⠆⣤⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⢻⡿⣿⠃⠀⢻⣟⣿⡆⠀⠀⠀⠈⠻⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡶⣦⡀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⠀⠀⠀⠀ ⠀⠉⠲⣾⠏⠀⠀⠀⠀⠀⣀⣤⣼⣿⣷⣶⣴⣿⣿⣧⡴⢦⣄⡀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⢉⣯⠴⠶⠒⠓⠒⠲⠶⢤⣀⡀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀ ⠀⠀⢰⡟⠀⠀⠀⢀⡴⠞⠋⠀⠈⠙⠛⠿⣵⠾⠛⠁⠀⠀⠈⠙⢷⣄⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣄⠀⠀⠀⠀⠀⢼⡇⠀⠀ ⠀⠀⢸⠃⠀⣠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠙⣦⡘⣧⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⣰⠏⢠⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠘⢳⡄⠀⠀⠀⠸⡇⠀⠀ ⠀⠀⢸⡄⢰⡟⠀⠀⠈⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⡀⠀⢹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⡟⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡄⠀⢻⠀⠀⠀⢀⡇⠀⠀ ⠀⠀⠘⣷⣿⠀⠀⠰⠶⠶⠾⠿⠶⠀⠀⠀⢠⣤⡀⠐⠛⠓⠋⠉⠉⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠙⠻⠟⠁⠀⠘⠛⠀⠀⠀⠸⣿⣿⣿⠇⠀⢸⡇⠀⠀⣾⠁⠀⠀ ⠀⠀⠀⠙⢿⣧⠀⠀⠀⠀⠀⠀⢀⡤⠶⠶⣤⡤⠔⠛⠲⣄⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⢰⣿⣶⣾⡄⠀⠀⠈⠋⠉⠀⠀⣸⠃⢀⡼⠃⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⢧⣄⠀⠀⠀⢀⡏⠀⠀⠀⠘⡇⠀⠀⠀⠸⡄⣀⣴⠋⠀⣠⡾⢛⣉⣛⠲⢟⣋⣙⠳⣄⠀⠈⠈⢓⣦⣀⠀⠘⢿⣿⡿⠃⠀⠀⠀⠀⠀⣀⣼⣣⡴⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⢀⣨⣷⣦⣤⡞⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢻⣿⣿⡶⣿⣿⠀⡏⠀⠈⠛⠋⠁⢹⣷⢹⡆⠀⣰⣿⡟⣉⣿⣶⣦⣭⣤⣄⣀⣀⣠⣤⠶⠟⠛⠙⢳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⠟⢫⡟⠋⠀⠀⠀⠀⠀⠀⡼⢳⡀⠀⠀⠀⠀⣿⠳⣿⣦⣼⣧⡹⣦⡀⠀⠀⢀⡼⣫⣿⡴⣾⡿⠉⡾⠉⠀⠀⡿⠃⠀⠈⠻⣆⣄⠀⠀⠀⠀⠀⠀⣹⡇⠀⠀⠀⠀ ⠀⢰⣦⣀⡀⠀⠀⣼⠀⠸⢦⣀⣀⣀⣠⠞⠁⠀⠙⠦⣤⣀⣴⠟⠀⠀⠙⠳⢯⣍⣛⣛⣲⣾⣽⣞⣫⠷⠞⠉⠀⢰⡇⠀⠀⠀⢧⠀⠀⠀⠀⠘⢯⠙⠲⠦⣴⣤⣾⠋⢀⣀⣀⠀⠀ ⠀⢸⣿⣿⡟⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣴⣟⡉⠉⢉⡏⡏⠉⠉⢛⣦⡀⠀⠀⠈⠧⣄⣀⣠⠛⢧⡀⠀⠀⠀⠀⠀⢀⣠⠟⠀⠘⣿⠋⠀⠉⢷⠀ ⠀⠛⠋⠻⣿⣶⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡀⠀⠀⠀⠀⣸⠃⠈⠉⠓⢺⠁⡗⠒⠊⠉⠈⣇⠀⠀⠀⠀⠀⢈⣿⡄⠀⠙⠢⠤⠤⠤⠒⠋⠁⠀⠀⠀⢹⠀⠀⠀⢨⠇ ⠀⠀⠀⠀⠈⠛⠛⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⢰⠏⠹⣆⠀⠀⢰⡇⠀⠀⠀⠀⠸⠀⡇⠀⠀⠀⠀⢸⠀⠀⠀⢀⡴⠋⠀⢙⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠤⣀⠠⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢧⣀⢀⡀⠀⠀⠀⠀⠀⠘⡷⠋⠀⠀⢸⣆⣠⣿⠀⢀⣠⠤⠤⢴⡆⡇⠤⢤⣄⡀⢸⣆⣀⣀⣿⣅⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⢸⣿⣛⠲⢾⣿⡧⠀⣳⣼⠁⢸⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠙⠒⠒⠒⠶⠶⠦⠶⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠙⠿⣴⣟⣿⣏⣴⡿⠏⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⠤⠭⣭⠭⠤⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠐⡀⠀⠀⠀⣀⠠⠐⣒⣤⢼⣿⣿⣿⠶⢶⣶⣦⡀⠀⠀⠀⠀⡔⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠈⢀⠴⠋⠁⠀⠀⠉⠁⠀⢀⠠⠈⠝⠋⠓⠦⣄⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢅⣀⠔⠁⠠⠀⠀⡌⠀⠀⠀⢆⠀⠙⠄⢸⡀⠀⠀⡈⠳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡌⠀⠀⠇⠀⢰⠀⠀⠀⠀⠀⠑⡤⢨⠊⣧⠀⠀⠘⡄⠩⢆⠀⠘ ⡀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠐⠂⠉⠁⡇⠀⠑⡤⢷⢳⢧⢄⠀⠰⡀⢩⡆⠀ ⠑⣄⠀⠀⢠⢼⠀⠀⠀⠂⡄⠀⠀⢰⠀⢠⠀⠀⠀⠑⢠⠮⡘⡀⢠⠀⠇⡀⡼⠀ ⠀⡇⠉⠐⠒⠚⡀⠄⠸⢠⠁⡖⠀⡜⢀⠆⠀⠀⠀⠀⢸⡄⠔⢇⠈⠀⢸⡇⠁⢰ ⢀⡇⠀⠀⠀⠀⣷⠀⠁⠹⣾⣷⣾⣷⣿⠄⠀⠀⠀⠀⣐⣒⣤⣸⡀⡇⢸⠇⠀⣸ ⢏⡀⠀⠠⣒⡎⣺⠀⠀⠀⡇⢿⠛⢻⡏⠀⠀⠀⠀⠀⣿⣿⣿⣿⡻⢳⡾⠴⠃⢈ ⠈⡿⠁⠀⠀⣃⢻⠀⠀⠀⡇⠀⠛⠉⠀⠀⠀⠀⠀⠀⠘⠤⠞⠃⢀⠋⣿⠀⠀⢸ ⣼⠁⢰⠁⠀⡇⢹⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⠀⠀⢸ ⠉⢆⠈⢆⠀⡇⢸⢂⠀⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⡂⡏⠀⡀⣿ ⠀⠀⠣⢈⠢⢹⢆⠎⢀⡏⠈⠒⠠⠀⣀⠀⠀⠀⢀⣀⣀⢤⢲⠇⢠⢁⠇⢰⡙⢸ ⠀⠀⠀⣴⣷⢪⡞⢠⠞⠣⢄⠀⠀⠀⠈⡏⠉⠁⠀⢀⣝⡾⢋⢔⢕⡟⢠⡿⠁⢸ ⠀⠀⢸⣿⣿⠿⠴⠋⠀⠀⠑⠪⢤⣒⠒⠓⢂⣒⠩⠔⠉⢲⣶⣧⠼⠔⠋⠀⡀⢹