⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣰⠀⠢⠴⢂⠐⣿⠀⠒⢂⢤⣉⠒⠀⠖⡨⢅⠒⡒⠓⢶⠀⡤⠤⡀⠉⠐⠒⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠂⣉⡤⢤⣈⠁⠐⡎⡉⡆⠈⠀⢈⠂⠆⠈⠀⠀⢠⠁⠀⠡⡘⠀⠙⠀⠱⠐⠃⠀⣠⢒⡤⠀⣈⣉⠉⠸⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠐⢈⡠⠴⢊⠡⡖⢦⡈⢳⡀⠸⡔⢹⡀⠀⢠⣘⡄⠀⠀⠀⠄⠃⠀⢠⢡⠀⠈⡄⠈⡌⡙⢊⢤⠏⢠⠊⠥⠬⣙⠢⣄⠉⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠴⠁⢤⡀⢻⡀⢣⡙⢆⡘⣆⠙⢤⡵⠀⠻⠒⢃⡠⠤⠤⠀⢀⣠⢤⡤⠤⠤⠤⠤⡤⠀⣠⠞⢡⣰⠗⠉⠀⢧⠊⣅⠀⡞⢐⡼⠁⠈⠁⠐⠒⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠊⡠⠦⡀⠈⢳⡀⢱⡁⢳⡈⠧⠚⢂⣤⢶⠖⢒⡞⠁⠀⠀⠀⣰⠎⣡⠎⠀⠀⠀⠀⣰⠇⡈⠣⠜⠋⡠⠔⡉⠀⡈⠓⠮⢭⡐⣹⠀⠀⠸⠉⣍⣲⠄⢱⠀⠀⠀⠀ ⠀⢀⠔⢉⡀⠀⠱⣆⠙⠦⠠⢛⡄⠻⠊⠁⢀⣴⠟⡱⠃⢠⠏⠀⠀⢀⣴⡾⠁⣰⠃⠀⢠⠀⠀⣴⠃⠀⠉⠒⠒⠋⠀⠀⢹⡀⠀⠑⠢⣄⠙⠁⢠⡦⢊⠔⡆⠈⢠⡧⠤⠤⠄⡀ ⢰⠁⡴⢁⠂⠀⢀⡈⠳⠬⠵⠋⣠⠊⠀⢠⡾⢃⡼⠁⢠⡏⠀⢀⣴⡿⣽⠃⣰⠃⠀⣰⠃⠀⣸⠃⠠⡀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠉⠣⣄⡙⠒⠚⢁⠀⠀⠀⢀⠀⡀⠀ ⣇⠀⣇⠘⢄⡀⢌⣸⠀⣶⠖⢪⠇⠀⢠⡿⢡⣾⠁⢠⡿⢀⣴⣿⡷⢫⡏⢠⠇⠀⣰⠃⠀⣰⣿⠀⠀⢷⠀⠀⠀⠘⠄⠀⠀⢸⡄⠀⠠⠀⠀⠀⠀⠈⠑⠺⡟⢀⠀⢀⠂⡅⠐⠀ ⠈⢂⠘⠧⠦⠼⠞⢁⡔⠁⢀⠎⠀⢠⡟⢠⣿⠃⠀⣾⢧⡾⡿⠋⠀⣾⠃⣼⠀⢰⠃⠀⣰⠏⢿⡄⠀⠸⡆⠀⠀⠀⠀⢰⡀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡈⠓⠌⠒⠀⠀⠀ ⠀⠀⠀⠒⠀⠀⠒⠁⠀⠀⡼⠀⠀⣾⢡⣿⡟⠀⢸⣯⣿⡛⠁⠀⢸⣿⠀⣏⢠⡏⠀⣰⠧⠀⢸⣿⡄⠀⢿⠀⠀⠀⠀⢸⠀⡇⢻⠀⠀⠀⠂⠀⠀⢀⠀⠀⠀⣿⡆⠀⠀⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡇⠀⢸⡏⣾⣿⠃⠀⣿⡿⠁⠈⠑⠒⢾⢾⡀⣇⣾⠀⣰⠿⢅⠀⠀⢿⣹⡄⠸⡇⠀⠀⠄⢸⠀⡇⢸⡀⠀⠀⠄⠂⠁⠀⠀⠈⠀⢸⡇⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠉⠀⠈⠁⠀⢸⣷⡟⣿⡁⢸⡿⠁⠀⠀⠀⠀⢸⡟⡇⣷⡋⢠⡟⠀⠀⠉⠒⠸⣷⣻⡄⣿⢀⠠⠀⣸⠀⡇⢸⣷⠀⠀⠀⡀⠀⠐⠈⠀⠀⣹⡇⠀⢀⡇⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⠀⢠⠀⠀⠀⢸⣿⡇⢻⡇⢸⣷⣶⣦⣌⠒⠀⢸⡇⢹⣼⠇⡾⠁⠀⠀⠀⠀⠀⠘⣷⣳⣸⡆⠀⢰⡇⠀⡇⢰⡏⣇⠀⠀⠀⠀⠠⠐⠀⢠⣿⠁⠀⢸⠁⠀⠀ ⠀⠀⠀⢠⠊⠀⠀⢀⠜⢦⡀⠀⠈⢿⣇⠘⣷⢸⣸⡄⠘⢟⢿⣆⠸⡇⢈⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠘⣧⢏⡧⠀⣼⠀⢨⠇⢸⠆⢹⡄⠀⠄⠐⠀⠀⢠⣿⠏⠀⢀⡇⠀⠀⠀ ⠀⠀⠀⠸⡀⠀⠈⠣⡀⡠⠞⠁⠀⠈⢛⣶⡿⣿⡇⢇⢧⠸⣸⡟⠄⢷⠀⣿⡿⠄⠀⢀⣉⣉⣉⣁⠀⠀⠘⣯⣿⢠⠇⢀⢸⠃⣼⠀⠀⢳⡄⠀⢀⠀⠀⣿⡏⠀⠀⡈⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠲⡄⠀⠸⠁⠀⢀⣠⣴⡿⣫⢵⣻⣿⡄⠉⠦⠼⠁⠀⠈⣧⣿⡇⠀⠀⠈⢩⠻⣍⠛⠻⢿⣶⣬⣿⣾⠀⠀⣾⢡⣟⡷⣄⠀⠙⣦⠀⠀⣼⡟⠀⢀⡔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠱⢄⡀⠀⠈⠛⠛⠻⠻⠟⠛⢻⡿⠀⠀⠀⠀⠀⠀⠀⠈⢿⡇⠀⠀⠀⠸⡆⠘⠏⠙⡿⠀⢈⣿⠋⠀⢂⣿⣿⣮⡽⣹⢟⣶⣤⣛⣾⣟⠀⠀⠈⡅⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⠤⢀⣀⡀⠀⠀⣼⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⠣⠀⠀⠀⠀⠙⠢⠴⠚⠁⢴⣿⠃⠀⠌⢸⡟⠀⠈⢹⡗⠯⣿⣿⣿⣿⠿⠟⠒⠂⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⣴⣿⣾⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⢀⠁⣦⠟⢀⣠⣴⢿⠀⣼⢿⣷⣿⠉⠀⣀⡠⠘⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⣿⢿⡓⢄⡀⠰⠄⣀⣀⣀⣀⠤⠚⠁⠀⠀⢀⡼⠁⢀⢢⣾⣟⣻⣿⡿⣿⡯⣼⡏⠀⢻⣿⠀⠀⢭⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⣎⠀⠀⢿⠿⣷⠈⠛⠷⠶⠤⠔⠒⣒⡦⢤⣤⣴⣶⠟⢀⣴⣾⣿⡱⢮⡿⠋⠀⠘⢿⣿⡇⠀⠀⠙⠁⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⢀⣠⡴⢿⠀⠀⠀⠀⣶⡞⣩⣷⠚⠉⣴⣿⠿⢾⣿⣿⢷⣿⣯⣿⡇⠀⠀⠀⠀⠛⠁⠀⣠⠤⠤⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⣰⡿⠵⠒⠙⠀⠀⠀⢀⣿⣿⡿⠛⣦⣮⠋⡤⠂⠈⣿⠋⠀⠀⠈⠛⠁⠀⡰⠐⠢⠤⠤⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢰⣏⠀⠀⠀⢀⣠⠤⠒⣿⣿⣿⣡⣾⢋⡡⠞⠒⠒⠢⣿⠀⠀⡱⠂⠄⠠⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡃⠀⢸⣏⠳⠶⠟⣹⣆⠀⠀⢈⠟⢙⣿⠏⠁⠀⠀⠀⠀⣰⡏⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠙⠓⠿⢻⣿⠨⢧⣰⠃⠀⡇⡞⠀⠀⠀⠀⢀⣴⠟⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⢤⠀⠀⣼⠏⠀⠀⣇⣀⣀⢹⣧⠀⢀⣠⢴⣻⣇⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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