Powerful Maid Emojis & Text

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