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⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣔⡿⠛⠒⠒⡕⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣴⣳⠃⠀⠀⠀⠀⠘⢎⡦⣄⠀⠀⠀⠀ ⠀⠀⠀⣜⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣳⠀⠀⠀ ⠀⠀⢸⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡆⠀⠀ ⠀⠀⠘⡏⢀⢴⠶⣤⢄⢲⣲⠦⣦⣤⡤⡀⡇⠇⠀⠀ ⠀⠀⠀⣧⠀⣾⢀⣸⡸⠘⢸⠀⣿⠀⣸⡏⣧⠀⠀⠀ ⠀⠀⠀⢹⠀⣿⠿⡯⡀⢀⣼⢀⣿⠛⠉⠀⢻⠀⠀⠀ ⠀⠀⠀⣿⠐⠛⠂⠘⠛⠒⠛⠊⠛⠂⠀⢸⢸⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡼⠀⠀⠀ ⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀ ⠀⠀⢀⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⡀⠀⠀ ⠀⣠⠃⠘⠊⠉⠛⠛⠋⠩⠩⠭⠍⠛⠛⠛⠃⠐⡄⠀ ⠀⣯⡉⠉⢉⡉⠉⠉⠉⠉⠉⠉⣉⣉⣉⣉⣉⣉⣹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⡤⡤⣤⡤⡤⣤⣤⢠⣤⣤⠀⢰⡄⣤⣶⡴⢶⣶⡴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⣿⠻⠙⠛⠛⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢟⣹⣾⠿⠛⠛⠉⠉⠛⢳⣄⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⣼⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡥⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡈⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣫⡽⠾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣬⡙⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⣻⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⡈⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⢡⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠈⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢘⡟⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⢹⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⣿⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⢀⣄⣀⣤⣤⣄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⣸⠻⡯⠿⠿⢯⣟⠳⣤⠈⠛⣷⢰⡟⠁⢹⣟⣭⡽⠿⣽⡛⢷⡀⠀⡇⣼⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⢻⠀⡇⠀⠀⠀⢹⡇⢹⡗⠀⣿⠸⡇⠀⢸⣿⣿⠀⠀⠀⢻⡎⣿⢸⡇⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⢸⡷⣷⠀⠀⢀⣾⢇⣼⠇⠀⣿⠀⡇⠀⢸⣿⣿⠀⠀⢀⣼⣿⡏⢸⡃⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⣿⠀⠀⢸⡏⢿⣶⣿⡿⠞⠛⠁⠀⠀⣿⠀⡇⠀⢸⣏⣿⣶⣖⣿⣽⠏⠀⣾⠄⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢐⣿⢸⠀⠀⢸⣿⣿⠿⣿⣟⢦⡀⠀⠀⠀⣿⡀⡇⠀⢸⡇⣿⠉⠉⠀⠀⠀⠀⣿⢠⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣼⠀⠀⢸⡟⣿⡀⠈⠹⣮⣹⣆⡀⠀⣿⢩⡇⠀⣾⡏⣿⡀⠀⠀⠀⠀⠀⣿⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⠀⠴⠾⠧⠿⠷⠆⠀⠛⠓⠛⠛⠰⠾⠾⠿⠂⠸⠷⠿⠷⠒⠀⠀⠀⠀⡟⢸⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠟⢹⡼⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠘⣏⢿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠏⠀⢸⣇⠛⠓⠒⢒⢒⡲⣶⣞⢚⠓⠛⠛⠛⠛⠛⠛⠛⢛⠛⠛⡛⣛⣚⣒⣛⣤⣿⠀⢻⡆⠀⠀⠀⠀ ⠀⠀⢀⣼⠏⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠻⣆⠀⠀⠀ ⠀⠀⣸⡷⠤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠤⠤⠤⠤⠴⠶⠶⢾⣷⠀⠀ ⠀⠀⢹⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀ ⠀⠀⠈⠛⠓⠒⠒⠒⠒⠒⠒⠒⠒⠶⠶⠶⠶⠶⠶⠶⠶⠶⠖⠲⠒⠒⠚⠛⠛⠛⠒⠒⠒⠒⠚⠛⠛⠛⠛⠛⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣄⠀⠀⣀⣀⠀⡀⠀⠀⣀⡀⢀⢀⣠⣄⠀⢀⡀⣀⣀⣀⡀⠀⠀⢠⣤⣠⣀⣄⢠⣤⣤⣄⣤⣠⣤⣤⣄⣤⣤⣤ ⢿⠿⢹⠡⢯⡿⠿⣿⣿⢏⡿⠾⠿⢿⠿⣿⡿⢀⢻⡿⡿⣿⢿⠇⠈⡁⠸⢯⠿⠬⠽⢸⢿⠿⡻⠾⢩⢛⡿⡿⣿⢿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠖⠶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠤⣤⣀⡀⢠⠏⠀⡄⠀⢹⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣠⠀⠀⡉⠹⠏⠀⠀⠙⣆⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣀⠘⠳⡄⠘⡜⣄⡘⡜⡄⢌⢿⠛⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠶⢤⡔⠹⡜⣜⣞⣜⣎⢮⢣⡀⣰⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠱⡹⣼⣾⣾⣌⣧⢳⣳⣯⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠐⣿⣿⡟⠈⠉⠛⠿⠾⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠛⠉⠉⠉⠉⠉⠉⠉⠉⠙⠻⠷⢶⣶⣦⣴⣟⠀⠀⠀⣾⢧⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⣧⣀⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠈⠿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢷⣿⡻⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣦⡉⠛⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⠋⠹⣿⣯⢙⠺⣿⡷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⠀⠀⢷⣿⣿⣟⢟⣿⣾⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⢠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⢠⡟⢎⠻⣷⣕⠼⢿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⢀⣾⣾⣿⣿⣦⠀⠀⠀⢠⣄⣀⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠈⠓⣌⢻⡳⣼⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⢀⣾⣽⣿⣬⣿⣿⠀⠀⢀⡿⢠⣹⠇⠀⠀⣼⣯⢿⣷⣦⡀⠀⠀⠀⠀⠀⢠⣿⠀⠀⢐⢌⠳⣝⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⢀⣾⢉⣿⣿⣿⠿⠋⠀⠀⣼⠇⣛⡿⠀⠀⣼⠃⢹⠿⣧⣽⣷⡄⠀⠀⠀⠀⣸⡷⡄⠀⠈⠳⡑⣾⣿⣲⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⢀⡞⢀⡟⣿⢹⣷⠀⠀⠀⢠⡏⠀⣿⠃⠀⣸⠇⢡⣿⣿⣏⣬⣾⠃⠀⠀⠀⢀⣿⢄⠙⢄⠀⣀⣼⢿⣟⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢼⣇⡾⠀⣿⡰⣿⠀⠀⠀⡼⠀⣼⠃⠀⢀⡏⠀⣿⡟⠛⠛⠋⠀⠀⠀⠀⠀⢸⠇⠀⠳⣬⣾⣻⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠈⠁⠀⠛⠿⠿⠀⠀⠸⢷⣼⠏⠀⠀⣾⣠⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠰⣠⣾⣿⣿⠛⢧⡘⢦⣽⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠛⠿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣾⡇⣾⣿⣿⠉⣀⠑⢄⠙⠦⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡾⠋⣻⡛⢻⡇⠀⠱⣌⢷⣄⠱⢤⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠔⠀⡟⠙⢮⣿⣄⠱⣜⢦⡙⢦⣼⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢿⣇⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠠⠟⡀⠀⢰⣧⣀⢌⠻⣿⡧⣌⠣⡉⠲⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠘⠿⠶⣶⡏⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠈⢢⣼⠁⠈⢦⡑⣿⣧⡈⠳⣌⢲⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠇⠈⠢⡀⠀⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⠀⠙⣶⣼⣟⠂⠀⣄⠹⣝⣿⣟⢧⡈⣹⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡟⣄⠀⠀⠈⠢⡘⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠳⣴⡟⢹⣿⢳⣄⣮⣳⣼⣿⡈⠳⣍⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠁⠈⠢⣄⠀⣀⠀⠀⠀⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⡀⠓⢄⠸⣷⣯⣧⠘⢯⣻⣿⣟⣇⠙⢄⣸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠈⠳⣌⠳⢄⡈⠢⡀⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠙⢦⡈⣿⣿⡟⢧⡰⣄⠻⣿⢯⣫⡙⢦⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⣤⣤⣼⣏⣀⣤⣤⣤⣤⣀⠈⠁⠀⣁⣦⠬⠶⠶⠾⣦⣤⣄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢌⠑⠄⠀⠀⣩⣿⡿⠁⠀⣕⢌⠳⡈⠳⣝⢭⢺⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠁⠀⣀⣰⣯⣀⡀⠀⢠⠟⠉⠉⠉⠿⣧⠀⠀⠀⠀⠀⠀⢹⡌⠳⠄⠑⢦⡀⣀⡴⠖⠒⠻⠶⣵⣄⡁⠀⣿⢿⠉⠳⣔⣜⢮⡳⣝⢦⠘⢦⣿⣃⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠀⠀⠙⠷⠌⠀⠀⠀⠤⠖⠛⠛⠷⢄⣠⠖⠛⠛⠛⠻⣶⡟⠉⠉⠙⠛⠷⠦⠀⠀⠀⣙⡿⠵⠿⢾⣦⣂⡈⢫⡷⠽⠾⢷⣽⣤⣟⣁⡀⠀⠉⠛⠓⣂⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠃⠀⠀⠀⠀⠀⠙⠻⠋⠀⠀⠀⠀⠀⠿⠋⠉⠻⠷⠤⢞⢉⡉⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠖⠛⢭⣭⣥⣀⣠⡤⢤⣄⣀⣀⣈⡉⠉⠛⠳⢦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠟⠉⠀⠀⠤⠤⠀⣀⣨⣭⠷⣦⠲⢤⡀⠀⣉⡟⠙⠛⠲⠾⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣟⣋⣠⣤⠤⠤⣤⡴⠖⠛⠉⠀⠀⠀⠈⣳⡀⡟⠛⠛⠁⠀⠀⠀⠀⠀⠈⠙⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⠿⠭⠉⠀⢛⣷⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⢹⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣯⠄⠠⠀⢐⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠞⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠁⠀⠀⢀⣤⡾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠏⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡿⠁⠀⠀⠀⣴⡟⢈⣿⢞⠞⠃⠀⠀⠀⠀⠀⠀⠀⢀⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⠃⠀⠀⠤⢴⡿⠀⡴⣷⣫⠆⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠛⠀⠀⠀⠀⠠⣶⣶⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⡯⠴⠒⠒⠒⣾⠃⠀⠾⡽⡍⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠄⢠⣤⣶⠀⠀⠀⢹⣿⣍⠉⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠓⠃⠀⠀⢨⡟⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣿⣷⣏⠀⠀⠈⣿⣿⡆⠀⠀⠘⣿⣿⡄⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡿⠀⠀⠀⠉⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⠙⢿⣿⡆⠀⠀⢹⣿⣿⠀⠀⠀⢹⣿⣇⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣷⡄⠀⠚⠛⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⣿⣇⠀⠀⠀⣿⣿⡆⠀⠀⠘⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⠒⠀⠘⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⣿⣿⠀⠀⠀⢻⣿⣧⠀⠀⠀⢿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⠶⠆⠒⢺⡇⠀⠀⢀⡤⠂⠀⠀⠀⠀⢸⣿⣿⣴⣿⡿⠀⠀⠀⠸⣿⣿⡀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠗⠀⠀⢉⣹⣧⣤⠟⠃⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣥⡀⠀⠀⠀⢿⣿⣷⠀⠀⠈⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⡃⠉⢉⣀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⡄⠀⠀⠘⣿⣿⡀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣏⣁⣀⠤⠤⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⢹⣿⣇⠀⠀⠀⢿⣿⣇⠀⠀⠈⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣧⢤⠔⠒⠛⢙⣏⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⣿⣿⡀⠀⠀⢸⣿⢿⣄⠀⠀⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣯⡆⠀⠐⢊⣉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣇⠀⢻⣿⣿⡇⠀⠘⣿⠟⠉⠀⠀⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⠀⠈⢠⣭⡤⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡆⠀⠙⠿⠇⠀⠀⠀⠀⠀⠀⠈⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡦⠤⠬⢤⣰⣾⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⡷⠤⠤⠐⠚⣛⣿⣹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣸⠃⠀⠀⣴⣖⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣿⠒⠒⢚⣉⣉⣿⡏⠓⠢⠄⠒⠂⠀⠀⠀⠀⠀⠀⢀⡴⠃⢀⡔⠁⠀⡠⠋⠀⠀⡠⠀⣀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⠀⣼⣝⡼⡾⣿⡴⢶⡖⠀⠀⠀⠀⠀ ⠀⣀⠀⠀⣿⡏⡀⠈⠁⠐⣻⡇⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣠⠎⠀⣠⠎⠀⢀⡞⠁⠀⢀⠔⠁⡴⠃⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⢀⣘⣿⣧⣤⢾⣇⢸⣷⣶⡿⠀⠀⠀ ⠀⠻⣏⠻⢿⣿⣶⣴⣿⣿⠿⣷⣴⣆⣾⣏⡜⣦⣤⢠⠆⣠⠁⢀⠞⠁⠀⡰⠋⠀⠀⡰⠋⢠⠞⠀⠀⠀⣠⠴⠊⠉⠀⠀⠀⠀⣠⣿⣿⢋⣤⣷⣯⡿⠋⠀⡿⠀⠀⠀⠀ ⢀⠀⣈⣷⡂⠙⢿⣾⠻⡽⡍⠻⢿⣹⣻⢿⣷⣻⢃⠿⣾⠋⣷⡏⣠⣠⠞⠁⠀⣠⠎⠀⠴⠃⠀⢀⡞⢉⡄⠀⠀⠀⣰⣴⢀⡞⣿⣿⣿⣿⡏⠳⠏⠀⠀⢸⣁⣀⡀⠀⠀ ⠘⢿⡺⣿⠃⠀⠀⠙⢶⡻⢿⠀⠀⠙⠿⠈⢯⡿⠃⢠⠏⣾⣽⣧⣿⢻⠃⣠⠞⠁⠀⠀⢠⣶⢺⢛⡇⡾⢠⠀⠀⠀⢷⣧⣿⡟⠿⢿⡀⠈⠋⠀⠀⠀⠀⠈⠁⡞⠀⠀⠀ ⠀⠀⢳⡀⠀⠀⠘⢯⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠞⢉⣿⣿⢧⡏⣼⣻⢠⢦⠆⣄⣚⢣⡏⡾⢸⠁⡎⠟⠀⠀⢻⣞⠽⣽⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠍⠀⠀ ⠀⠀⠀⠓⠀⣀⣀⣬⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⢿⡟⢰⢱⢣⠏⡟⣼⣽⡿⠚⠉⣉⣙⣶⠳⠶⠶⠦⠿⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠓⠟⠉⠉⠛⠉⠉⢥⣴⠓⠦⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠔⠃ ⠀⠀⠀⠀⠀⠰⠚⠉⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⡀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⠔⠒⠒⠒⠚⠛⠓⠦⠤⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠶⠒⠒⠚⠛⠂⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣟⣛⣛⡓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣟⣵⠟⠋⠉⠁⠈⠉⢳⡈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠻⣄⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣭⡙⢦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡙⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠨⣿⡇⠀⢀⣠⣤⣤⣀⣀⠀⢠⣤⠤⣤⡄⣠⣀⣀⣀⣀⡀⠀⢸⢰⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡇⠀⢾⢹⠋⠉⠛⣯⢻⡤⢹⡧⡟⠀⣿⣾⠛⠛⢿⣽⣄⣼⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡇⠀⢸⣼⡄⠀⢀⡾⣸⠇⢸⠀⡇⠀⣿⣿⠀⠀⢸⣿⠏⡏⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡯⡇⠀⢸⣼⣷⣾⡿⠛⠉⠀⠈⠀⡇⠀⣿⣿⣶⣾⠿⠏⠀⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⡇⠀⢸⣿⡟⠻⣿⢦⡀⠀⢠⡧⡇⢀⣿⣿⠀⠀⠀⠀⢠⡏⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡇⢀⣼⣿⣷⡄⠸⠿⠿⠦⢨⣷⣧⠈⣿⣾⣥⠀⠀⠀⢸⠇⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⣸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠃⣿⢷⣄⣀⣀⣀⣀⣄⣄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣤⡿⣹⠙⣆⠀⠀⠀⠀ ⠀⠀⢀⡾⠃⠀⠛⠒⠒⠒⠛⠛⠻⠿⠷⠶⠶⠶⠶⠦⠶⠶⠖⠒⠒⠛⠛⠛⠀⠘⣦⠀⠀⠀ ⠀⠀⣸⠧⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠶⠾⣷⠀⠀ ⠀⠀⠹⣦⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣤⣤⣤⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡿⢿⠶⣿⠿⣶⡖⠾⡿⠾⣾⣿⣇⣸⣿⣿⣿⠇⠐⠨⣿⠿⠽⢿⡿⣿⠿⠟⢿⣿⣿⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⠿⠿⠿⠿⠿⠿⠿⢿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠛⢿⣽⡛⠿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠋⠁⣠⠶⠶⠶⠶⣶⣶⣶⣶⡶⠶⠾⠟⠁⠀⠀⠀⠙⢿⣦⡀⠙⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠁⠀⠀⡜⠁⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣦⡀⠀⠙⠿⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣾⡋⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠈⢿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⡟⢿⣦⠠⠖⠛⠛⡿⠟⠛⠁⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⢸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⣶⣿⠿⠋⠀⠀⢠⠞⠀⠀⠀⠀⠈⠻⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠻⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠛⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠈⣧⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⢻⣧⠀⠀⠀ ⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠈⣿⡆⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣴⣶⣶⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀⣠⣄⠀⠀⠀⣤⣴⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢹⡇⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⠉⠉⣿⣿⠋⠛⣿⣿⡄⠀⠀⠀⠘⣿⣇⠀⠀⠛⠛⣿⡿⠛⠛⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⡿⠁⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⣿⣷⣤⣶⣿⠟⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠿⣿⣧⡀⠀⠀⠀⢀⣿⣿⠀⠀⠀⠀⣿⣿⡋⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⢼⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠇⠀⠈⢿⣿⡦⠀⠀⠸⠿⠿⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⣤⣭⣷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⣽⡇⠀⠀ ⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢀⣿⡇⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⢼⣟⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⠀⠈⢻⣷⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣬⣿⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣿⠀⠀ ⠄⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠈⢷⣄⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸ ⡄⠘⣿⣿⣾⣇⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⠙⢶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠘⣦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠈⠻⣿⣿⣿⡿⠟⠋⠉⠙⢿⣿⣿⣿⠿⠿⠿⠟⠉⠙⢿⣿⡿⠋⠀⠉⠙⠋⠀⠀⠀⠀⠈⠙⠛⠉⠀⠀⠈⠉⠛⠟⠁⠈⠻⣿⣿⡟⠀
⠀⠏⣿⣿⢿⠿⠿⠿⠿⠿⡿⣿⣿⣿⠿⠻⠛⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢸⣼⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢸⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢠⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠏⣿⣿⣿⣿⣿⣿⣿⣿⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢳⠀⠀⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⢳⠈⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢧⠏⣿⣿⣿⣿⣴⣧⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⣷⣿⣿⣿⣿⠹⡟⣿⣿⣿⣤⣿⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢆⠙⣆⣿⣿⣧⣿⣿⢸⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡁⣿⣷⣷⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀ ⠀⠀⠀⠀⠋⠟⣫⢟⣿⠀⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⣆⣿⣿⣿⣸⡀⣤⣮⣦⣙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸ ⠀⠀⠀⠀⠀⡀⣦⣿⢙⠋⡰⠀⠀⠀⣄⠲⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠲⠉⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠳⠉⠀⠀⠀⡏⣸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠤⠲⣿⠀⠀

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠛⠛⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⢤⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠞⢁⡞⢀⣰⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⡰⢷⠆⠸⠶⠋⠁⠀⢠⡴⠄⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⠀⠀⠀⣠⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠚⢧⡀⠀⠀⠀⠀⠀ ⠀⠹⡤⠖⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀ ⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⣠⢶⡀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀ ⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀ ⠀⢀⡞⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⡞⠀⠀⠀⢀⣤⢞⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡷⣄⠀⠀⠀⠈⢧⠀ ⣸⠁⠀⢀⣴⡟⢹⠀⠉⠓⢤⣀⠀⣄⠀⣀⠴⠊⠁⢀⡏⢷⣄⠀⠀⠘⡆ ⡏⠀⢠⢿⡏⠀⠀⠹⢦⣀⠴⠛⠋⣉⠙⠓⠤⣠⠴⠋⠀⠈⢻⣳⡄⠀⣿ ⣧⢀⡏⠈⠳⣄⡀⣀⣤⣄⠀⠀⡘⠈⢆⠀⠀⣠⣄⡀⢀⡴⠞⠀⢻⠀⡿ ⠹⡌⡇⠀⠀⠀⠉⠉⣆⡏⡀⠰⠅⠤⠬⠀⠘⢩⣼⠉⠉⠀⠀⠀⣸⣰⠃ ⠀⠙⢿⣄⠀⠀⠀⠀⡟⣏⡑⠳⠒⠲⠲⠚⢋⡟⣷⠀⠀⠀⠀⣰⡿⠃⠀ ⠀⠀⠈⠛⢷⣤⡀⠀⣇⠑⠬⣑⠒⠄⠒⣈⠕⠂⣸⠀⣀⣴⡾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⡳⣌⡳⣄⠀⣉⣚⡉⠀⡠⢊⡤⣺⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢮⡱⣌⠉⠉⠉⠉⠉⡵⢋⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢌⢣⡀⠀⢀⢞⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢬⣀⠵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣶⣶⡿⠟⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠉⠙⠿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡄⠀⠀⠀⠀⠀ ⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣧⠀⠀⠀⠀⠀ ⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀ ⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀ ⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣷⡀⠀⣸⣿⡿⠁⠀⠀⠀⠀⠀ ⠀⠘⣿⡄⠀⣾⣿⣷⡄⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡇⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢻⣄⠻⣿⣿⠁⠀⠀⠀⠀⠀⠀⣼⣿⡿⢟⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠳⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠂⠆⠠⠤⠤⣤⣤⡤⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⠀⠀⣿⣿⣷⢠⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠁⣦⡿⢀⣼⣿⣿⣿⣄⠀⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢷⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠐⠐⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣅⣁⢈⣭⣿⣷⣾⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⣖⣦⣤⣲⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣯⡿⠟⠋⠉⠻⡟⢟⡽⣗⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⢞⢝⣍⢿⣹⡿⠳⣛⣋⣓⣩⣲⡤⡀⠀⠀⠀⠀⠀⣰⡿⣣⠟⠁⠀⠀⠀⠀⠀⠘⢑⡻⣟⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⣿⣽⡿⣿⣟⡁⠀⠀⠀⠉⠉⢻⣟⠋⠝⢓⢤⣠⡴⣶⡿⣟⣭⣓⠖⠢⣤⣀⣀⣀⣬⡶⣻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣹⣫⢿⡇⣃⠴⡀⣀⡠⠤⠶⠒⣺⠿⣟⢸⣯⣃⣳⡾⡲⠷⣮⣥⣼⣮⣤⣥⣾⣿⣿⣻⡿⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢘⠣⣿⣿⣶⣾⣿⣷⣶⡂⢩⡭⢊⣽⣿⡿⠿⠿⢿⣦⣴⣙⠈⠙⠏⠉⠋⠉⠀⠩⠀⠂⠀⢀⣤⢤⣤⣤⣂⣅⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠉⠉⠙⠟⡟⢛⠋⡵⣻⣿⠏⠀⠀⠀⠘⢿⢯⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⠖⣫⠵⢏⣽⣿⣿⡧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⣩⢅⡏⠀⠀⠀⠀⠀⠈⠫⣳⠄⢹⡆⠀⠀⠀⠀⣢⣴⣿⣿⣿⠟⠁⠈⢿⢿⡿⠄⠀ ⠀⠀⣰⣾⣏⣩⣉⠰⣄⠀⠀⠀⠀⣠⢖⣴⢟⠎⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣾⣿⡀⠀⢠⣾⣿⣿⡿⠟⠁⠀⠀⠀⣸⣾⠣⠂⢀ ⠀⣰⡇⠈⠙⠤⣽⣿⣹⣷⣤⣈⣴⣩⡤⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠛⠛⡫⠁⠀⠀⠀⣀⣴⣾⡿⠃⠁⠀⠘ ⢰⣿⣹⡄⠀⠀⠀⠉⠛⠻⠿⠛⠋⠉⠂⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⡀⣤⡶⠁⢼⣿⠃⠀⠀⠀⠀ ⢹⡇⠂⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡁⡆⠡⣬⣧⣀⡜⠁⠀⠀⠀⠀⠀ ⠀⠱⡄⢂⠣⠀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢶⠃⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠢⢀⣙⠿⣿⡿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡾⡄⠀⠀⠀⣀⣀⠀⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠈⠑⠊⠁⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢿⣿⣿⡶⡤⣕⡤⠀⠂⠀ ⠀⢀⠀⣤⠔⠆⢶⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠄⠀⠀ ⠁⣠⡎⠀⣀⣠⡾⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠄⠀⠀⠀ ⠀⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀ ⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⋆౨ৎ˚⟡˖ ࣪⋆୨୧⋆⋆ ˚。⋆୨♡୧⋆ ˚。⋆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠿⢿⡀⠀⠀⠀⠀⣠⣶⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⣴⣿⡋⠀⠀⠈⢳⡄⠀⢠⣾⣿⠁⠈⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠿⠛⠉⠉⠁⠀⠀⠀⠹⡄⣿⣿⣿⠀⠀⢹⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⢻⣿⣿⡆⠀⠸⣿⠀⠀⠀ ⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣆⠹⣿⣷⠀⢘⣿⠀⠀⠀ ⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠋⠉⠛⠂⠹⠿⣲⣿⣿⣧⠀⠀ ⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣷⣾⣿⡇⢀⠀⣼⣿⣿⣿⣧⠀ ⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡘⢿⣿⣿⣿⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣷⡈⠿⢿⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⢙⠛⣿⣿⣿⣿⡟⠀⡿⠀⠀⢀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⣤⣉⣛⠻⠇⢠⣿⣾⣿⡄⢻⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣦⣤⣾⣿⣿⣿⣿⣆⠁ ⠀⠀⠀⠀🈵⠀YOUR TIME HAS COME 🈵⠀
⠀⠀⣿⠲⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⡏⠀⠀⠀⠉⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠐⡰⠋⢙⣿⣦⡀⠀⠀⠀⠀⠀ ⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣦⣮⣤⡀⣸⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠀⣿⢟⣫⠟⠋⠀⠀⠀⠀ ⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣷⣷⣿⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⣿⣧⣿⣿⣆⡹⣖⡐⠠⠤⠠⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣤⣿⣿⣿⡟⠹⣿⣿⣿⣿⣷⡀⠄⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣿⣿⣿⣿⠏⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠈⢳⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⣿⣿⣿⡿⠿⠿⠿⠿⠿⢿⣿⣿⠏⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⡀⠀⠀⢀⡴⠛⠁⠀⠘⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣷⣤⡴⠋⠀⠀⠀⠀⠀⢿⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢏⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣷⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⢿⡇ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡞⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⣠⠟⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⣿⠲⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⡏⠀⠀⠀⠉⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠀⡰⠋⢙⣿⣦⡀⠀⠀⠀⠀⠀ ⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣦⣮⣤⡀⣸⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠀⣿⢟⣫⠟⠋⠀⠀⠀⠀ ⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣷⣷⣿⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸⣿⣿⣧⣿⣿⣆⠙⢆⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣤⣿⣿⣿⡟⠹⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣿⣿⣿⣿⠏⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠈⢳⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⣿⣿⣿⡿⠿⠿⠿⠿⠿⢿⣿⣿⠏⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠿⢿⡀⠀⠀⠀⠀⣠⣶⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⣴⣿⡋⠀⠀⠈⢳⡄⠀⢠⣾⣿⠁⠈⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠿⠛⠉⠉⠁⠀⠀⠀⠹⡄⣿⣿⣿⠀⠀⢹⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⢻⣿⣿⡆⠀⠸⣿⠀⠀⠀ ⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣆⠹⣿⣷⠀⢘⣿⠀⠀⠀ ⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠋⠉⠛⠂⠹⠿⣲⣿⣿⣧⠀⠀ ⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣷⣾⣿⡇⢀⠀⣼⣿⣿⣿⣧⠀ ⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡘⢿⣿⣿⣿⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣷⡈⠿⢿⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⢙⠛⣿⣿⣿⣿⡟⠀⡿⠀⠀⢀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⣤⣉⣛⠻⠇⢠⣿⣾⣿⡄⢻⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣦⣤⣾⣿⣿⣿⣿⣆⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣶⣶⠶⠿⠟⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠿⠷⣶⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⡶⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣷⠖⠲⢶⣖⢦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⠛⠉⣀⡤⠤⠶⠶⠶⠶⢦⣤⣀⣀⣀⣀⣄⣀⠀⠀⠀⠀⣀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠈⠻⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⣩⡴⠶⠶⠚⠛⠷⠶⠶⠶⣤⣀⣀⠈⠙⠻⢿⣿⡻⢿⡷⠶⠶⠾⠿⠿⣿⣤⣤⣄⣀⡀⠀⠀⠀⠀⣼⡏⠀⠀⢀⠀⢰⢴⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⢠⡾⠁⢀⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠈⢙⡓⠀⠀⠘⠻⣄⠛⣦⡀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣶⣦⣼⡿⠀⠀⢀⣾⢀⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠛⣥⠀⡼⡿⠁⣰⣿⣿⡿⠓⠋⠉⢷⣦⣄⡀⠀⠀⠀⠙⠦⣈⢦⡀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⣶⢶⣾⣿⣿⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⣰⠏⠀⣴⣷⡿⢻⡇⢀⣿⠟⡩⠂⠀⠀⠀⠀⠙⠷⣿⣶⣄⡀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠉⠙⣿⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⢀⠞⠁⣠⡾⠛⠁⠀⢸⠃⣾⡏⣼⠁⠀⠀⠀⠀⠀⠀⠀⠈⣿⠹⠿⢦⣄⡀⠀⠙⢿⡀⠀⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⢠⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⢰⠋⣠⠞⠉⠀⠀⠀⠀⢸⠀⣿⣼⠁⠀⠀⠀⠀⠀⠀⠀⢀⣷⣾⠟⠉⠉⠉⠻⣦⡀⠀⠙⢦⠀⠀⠀⠀⡙⣷⡄⠀⠀⠀⠀⢀⡟⠀⠀⢀⣾⣯⠃⠀⠀⠀⠀⠀ ⠀⠠⢣⠞⠁⠀⠀⠀⠀⠀⠀⢸⠀⣿⢨⠧⡀⠀⠀⠀⠀⠀⢠⣾⠟⠁⢀⣴⣶⣦⣄⠈⢻⣆⠀⠀⠳⡄⠀⠀⠈⢾⣿⣆⠀⠀⠀⡼⠁⠀⣴⣼⣿⠇⠀⠀⠀⠀⠀⠀ ⢠⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⣿⢈⣷⠿⠦⢶⣤⣀⣴⡿⠃⠀⣴⡿⠛⢿⣿⣿⠀⣼⣿⣦⠀⠀⠈⡆⠀⠀⠀⠹⣿⣦⠀⣸⠁⠀⢰⣻⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⡞⠀⠀⢀⣀⠀⣉⣹⣷⡴⠾⠿⠿⠶⣿⣿⡥⠞⢻⣿⢙⣧⡀⠀⣿⠀⠀⠀⢀⡘⣿⣧⠃⠀⢀⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢘⣧⣰⣿⡟⣿⣿⠟⠁⣿⣷⣄⠀⠀⠀⠀⢀⣤⣴⣟⠋⢨⣿⣇⠀⣿⡆⠀⢸⠀⣿⣿⠏⠀⢀⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⣿⣽⡿⠿⣿⡿⠀⠀⣿⣿⣿⣧⡤⠈⠙⠋⢀⣼⡏⠀⣿⣿⣿⡄⢹⣿⠀⢸⠇⣿⡏⠀⢀⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡆⢻⣿⣷⣄⠉⢀⠐⠈⠛⠛⠈⠉⠀⠀⣠⣴⣿⣯⡇⠀⣿⣿⣿⡇⣸⣿⠀⢸⡀⡿⠀⢀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠈⢿⣿⣿⣽⢿⣀⣀⣀⣤⡤⢴⢺⠛⣉⡴⣻⡏⠀⢀⣿⣿⡿⣳⣿⠋⠀⣿⣷⠃⢀⣾⣿⡿⣷⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣷⡈⢿⣿⣿⣷⣻⡼⡭⡤⢧⢼⣛⣿⡿⣾⡟⠀⣰⣿⣿⠟⣸⠟⠁⠀⢸⣿⠇⠀⢈⣿⡿⣿⣿⣿⠿⠿⠿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡹⣷⡄⠻⣿⣿⣿⠛⠻⢛⣟⣿⡯⠿⣿⠏⢀⣾⣿⡿⠁⣴⡋⠀⠀⠀⣿⠏⠀⢀⣾⣿⢳⡟⠀⠹⣆⠀⠀⠈⠛⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡜⠿⣷⣌⢻⣿⣷⡌⡟⠁⢠⣄⣀⢞⣀⣼⣿⠟⢠⠟⢡⡇⠀⠀⠀⡟⠀⢀⣾⣿⢣⣿⡇⠀⠀⠘⢆⠀⠀⠀⠀⠙⣷⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢷⣮⣙⣻⣆⣙⡿⣴⢶⣫⣷⣶⣶⣶⣿⠃⣰⡏⠀⢸⡇⠀⠀⡾⠁⢀⣼⣿⠏⠋⢿⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣭⣿⣻⢿⣷⣍⠻⣿⣿⣿⡿⣿⠃⢰⣿⠁⠀⢸⣷⠀⣸⠁⢀⣼⣿⡟⠀⠀⠸⠀⠀⠀⣄⠀⠀⢹⡀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠟⠉⣿⢿⣿⣿⣼⣿⣿⣮⡉⠿⣿⠇⢠⣿⡇⠀⠀⢸⣿⣳⠃⠀⢸⣿⡟⠁⠀⠀⠀⡀⠀⠀⢹⡄⠀⠀⣧⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠉⠀⠀⢸⣿⠸⡇⢿⡇⣿⠈⢿⣿⡄⣿⠀⣼⣿⡇⠀⠀⣸⢳⠏⠀⢀⣿⡿⠁⠀⡆⠀⠀⢹⡄⠀⠀⢧⠀⠀⣿⣦⠀⢰⣴⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠃⠀⡾⠀⠀⢸⡇⠀⡇⢸⡇⣿⣷⠺⣿⡷⣿⠀⣿⣿⡇⠀⠀⢳⠇⠀⢀⣿⡿⣡⠀⠀⣧⠀⠀⢸⣷⠀⠀⢸⡇⠀⢻⣿⣷⣼⡿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠁⡄⠀⣇⠀⠀⠘⠇⠀⣀⣸⣽⡿⠁⠀⢀⣀⣸⣶⣿⣿⣿⡀⢠⠟⠀⣠⣿⡿⢡⣿⠀⢀⣿⠀⠀⣸⣿⡄⠀⢸⣿⡄⢸⣿⡿⣿⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠃⢀⡇⠀⣿⠀⠀⣠⠖⠛⠟⢁⡞⠁⠀⣴⡿⣯⠙⠳⡄⠈⢭⣠⢿⣀⣾⣽⣿⢡⣿⣿⣦⣾⣿⣷⣼⣿⣿⣿⡄⣼⣿⢿⣾⣿⡇⢿⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡇⣼⠿⣠⡞⠁⠀⠀⢀⡞⠀⠀⢰⡟⠃⠈⢣⡀⠀⣤⣄⣺⣿⣻⣿⣿⢣⣿⣿⣿⡟⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⢸⣿⣿⠇⠀⠻⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⢠⣿⣡⠷⠛⡟⠀⠀⣀⠀⢸⠁⠀⠀⣿⡟⠀⠀⠈⣯⣦⡵⠟⣿⣉⠙⢿⣻⣿⣿⣿⣿⠃⠹⣿⣿⡟⠁⢿⣿⣿⣿⣇⠀⢹⣿⣆⠀⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⣼⢿⠇⠀⣼⠁⠀⢰⡇⠀⢸⠀⠀⣷⣿⣷⣤⣀⣴⠾⠻⣇⠀⠘⢿⣦⢜⡿⣿⣿⣿⣿⣄⠀⠙⣿⣧⡀⢠⣿⣿⣿⠏⠀⠘⠿⠏⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⢞⡏⣸⠃⡁⠀⢠⠏⠀⠀⣾⡇⠀⢸⡆⣸⢻⣿⣿⡟⠉⠙⣦⡀⠘⢷⡀⠀⣹⡟⢹⣸⣿⣿⡏⢹⡄⠀⣿⠟⠁⠻⣿⣿⡀⠀⢰⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣷⠏⢰⡇⠀⣸⠀⠀⢰⣿⣧⣤⣿⣧⣿⡈⢻⣿⣿⣆⠀⠈⠻⣆⢨⣷⡞⣹⡗⠛⢿⣿⡏⠀⠸⠃⠈⢻⣷⡀⠀⢻⣿⠁⠀⠛⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣀⣼⣇⠀⣿⣧⣤⣿⠟⢿⣿⣿⣿⡟⠛⠸⣿⣿⣿⣷⡀⣀⣼⣏⡰⠟⠉⠀⠀⠈⠿⠇⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢉⠸⣿⣿⠿⣿⣿⠿⣿⣿⡆⠀⠿⠈⢹⣿⡀⣶⢻⡇⠹⢿⠿⣥⠾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⠆⠸⠟⠀⠀⠙⠀⠛⠋⠁⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⣀⡤⣤⢤⡤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠛⠋⠁⠁⠀⠀⠀⠉⠛⣯⣳⡀⠀⠀⠀⠀⠀⠀⢠⡿⠃ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣿⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⢹⡆⠀⠀⢸⣿⠀⠀⠀⠀⢠⡿⠁⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⠀⢀⣮⠏⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠈⠻⢦⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆。˚˙✧˖°📷 ༘ ⋆。˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧。⋆🌻⋆。‧˚⛷🧚‍♀️🛖
⠀⠀⠀⠀⢀⠀⢀⣼⣷⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡄⠀ ⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⣿⣿⣿⣿⣿⡼⣿⣿⣿⣿⣷⣿⣿⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⡟⠛ ⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣽⣿⣿⣿⠿⣏⣉⡍⠉⠉⠉⠉⠙⠛⠻⠿⠿⠿⠿⣿⣿⣿⡇⠀ ⠘⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣩⣿⣿⣿⣿⣿⣦⣈⣻⣃⣠⠶⠒⠒⠒⠒⠒⠛⠛⠛⠛⠛⠋⠉⠁⠀ ⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡿⣾⠋⠀⠀⣿⠃⠀⠀⠈⢳⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣷⣿⣄⠀⠀⠹⣆⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠓⠶⢤⣬⣧⣤⠶⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠛⠛⠛⣿⣿⣿⣿⠣⢾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣿⡏⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠛⠋⠉⠉⠉⠈⠉⠛⠛⢳⡇⠀ ⠀⠀⠀⠀⠀⢀⠞⠋⠀⠀⣷⣤⣀⣀⣀⠀⠀⠀⠀⠸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣢⠄⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⣀⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣧⣴⣾⣻⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣭⣾⣿⣿⣿⠉⣛⢿⠿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⣶⣿⣻⣿⣆⠙⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⣸⣔⣿⣿⡄⣿⠀⠀ ⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⡏⠀⠀ ⠐⠶⠶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢤⢤⠤⡤⡤⠄⢠⣤⡄⠠⠄⡤⣤⣤⡠⠄⠀
⠀⠀⣿⠲⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⡏⠀⠀⠀⠉⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠀⡰⠋⢙⣿⣦⡀⠀⠀⠀⠀⠀ ⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣦⣮⣤⡀⣸⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠀⣿⢟⣫⠟⠋⠀⠀⠀⠀ ⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣷⣷⣿⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸⣿⣿⣧⣿⣿⣆⠙⢆⡀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣤⣿⣿⣿⡟⠹⣿⣿⣿⣿⣷⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣿⣿⣿⣿⠏⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢹⢳⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢨⠀⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠰⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⡂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠐⡢⠀⠀⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⠥⠀⠀⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡄⠐⠪⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⢈⠒⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠠⢁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⣿⣿⣿⡿⠿⠿⢿⠿⠿⢿⣿⣿⠏⠨⠈⠀⠀⠀⠀
███████████████████████████ ███████▀▀▀░░░░░░░▀▀▀███████ ████▀░░░░░░░░░░░░░░░░░▀████ ███│░░░░░░░░░░░░░░░░░░░│███ ██▌│░░░░░░░░░░░░░░░░░░░│▐██ ██░└┐░░░░░░░░░░░░░░░░░┌┘░██ ██░░└┐░░░░░░░░░░░░░░░┌┘░░██ ██░░┌┘▄▄▄▄▄░░░░░▄▄▄▄▄└┐░░██ ██▌░│██████▌░░░▐██████│░▐██ ███░│▐███▀▀░░▄░░▀▀███▌│░███ ██▀─┘░░░░░░░▐█▌░░░░░░░└─▀██ ██▄░░░▄▄▄▓░░▀█▀░░▓▄▄▄░░░▄██ ████▄─┘██▌░░░░░░░▐██└─▄████ █████░░▐█─┬┬┬┬┬┬┬─█▌░░█████ ████▌░░░▀┬┼┼┼┼┼┼┼┬▀░░░▐████ █████▄░░░└┴┴┴┴┴┴┴┘░░░▄█████ ███████▄░░░░░░░░░░░▄███████ ██████████▄▄▄▄▄▄▄██████████ ███████████████████████████
( -_•)╦̵̵̿╤─
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡆ ⠀⠀⠀⠀⠀⢀⣶⣆⢀⠔⠁⠀⣷ ⠀⠀⠀⠀⠀⠚⣿⣿⣷⡄⠀⠀⢸ ⠀⠀⠀⠀⠀⣠⣺⣿⣿⡇⠀⠀⠸ ⠀⠀⠀⠀⡸⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⡔⠁⢸⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠌⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀ ⠀⡌⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀ ⠈⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⣄ ⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣶⣶⣶⣶⣠⣤⣤⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣴⣾⠿⠟⠛⠛⠉⠉⠉⠉⠉⠛⠛⠛⠿⠿⡿⠛⢿⣿⣷⣤ ⠀⠀⠀⣠⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠉⠁ ⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀ ⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀ ⠋⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣶⣶⣆⢤⣤⣀⣀⠀⠀⠀⠀⣸⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠋⠙⢿⣿⣿⣿⣻⣿⣿⡇⠀⠀⠀⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⠐⢻⣿⣻⣷⡽⣿⣷⠀⠀⢸⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣃⠹⠿⠗⣿⣷⣻⣿⡽⣿⣧⠀⣼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡏⣁⢀⠲⣿⣿⣷⢻⣿⡽⣿⢀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⣉⣡⣿⣿⣿⣏⣿⣿⣿⣼⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠘⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
.  +⠀ ⠀ ⠀˚⠀ ⣴⠟⠉⠉⠛⢦⡀⢀⣴⠛⠉⠈⠙⠻⣄ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠹⣦ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆ ⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⠀⠀⣠⡴⠛ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⠶⠋ ⠀⠀⠀+. *
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠾⠿⠷⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⣤⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡞⠁⣸⡇⠀⠀⢀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡾⠋⠀⢰⡟⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣯⣼⠀⠀⣿⣥⣶⠟⠉⠀⠀⠀⠀⣀⢤⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡸⠋⢁⡿⠀⠀⠈⠁⠀⠀⠀⠀⣀⣤⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⣀⣴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⣠⡴⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠿⠶⠛⠉⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀ ⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀ ⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀ ⠀⣰⡟⠀⠀⠀⠀⠀⢀⣴⡿⣿⠙⠻⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⠋⢹⠿⣦⡀⠀⠀⠀⠀⠀⠸⣧⠀ ⢀⣿⠁⠀⠀⠀⢀⣴⣿⡟⠀⣿⡀⠀⠀⠈⠛⠶⣤⣀⠀⠀⣰⡀⠀⢀⣠⡴⠟⠉⠀⠀⠀⣸⠀⠸⣿⣦⡀⠀⠀⠀⠀⢻⡇ ⢸⡇⠀⠀⠀⣰⣿⣿⠋⠀⠀⠈⢻⢦⣀⠀⠀⠀⣠⢿⡿⠶⠟⠷⠾⡻⣥⡀⠀⠀⢀⣠⣞⠋⠀⠀⠙⢿⣿⣦⡀⠀⠀⠘⣷ ⢸⡇⠀⠀⣼⠏⣾⡇⠀⠀⠀⠀⠀⠉⠛⠷⠒⠋⠁⠀⠀⢀⡤⣄⠀⠀⠀⠉⠓⠲⠛⠊⠁⠀⠀⠀⠀⠈⣿⠘⢷⡄⠀⠀⣿ ⢸⡇⠀⢸⡏⠀⠘⠿⣦⣄⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⢀⡞⠀⠹⡄⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⢀⣴⡾⠋⠀⠘⣷⠀⢀⣿ ⠘⣷⠀⣿⡇⠀⠀⠀⠈⠛⢷⣦⡾⣿⠋⢻⢳⡀⠀⢀⡾⠁⠀⠀⠹⡄⠀⠀⡼⣿⠉⣻⠷⣦⡶⠟⠉⠀⠀⠀⠀⣿⠀⣸⡏ ⠀⠹⣧⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⣼⠁⡇⠀⠘⠦⠤⠾⠦⠤⠟⠀⠀⠃⢻⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣰⡟⠀ ⠀⠀⠙⣷⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⡟⣷⠞⠻⡴⢦⣠⣤⣤⣤⢤⣴⢶⡜⠓⣮⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⠟⠀⠀ ⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⢸⡇⢸⠳⢤⣀⠀⠁⠀⠀⠁⠈⠁⢀⣤⠔⡇⠘⣧⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⣿⣷⣄⡀⠀⠀⢸⡇⠀⠳⢤⡈⠉⠓⠦⠤⠤⠖⠋⠉⣠⠔⠁⠀⣿⠀⠀⠀⣠⣴⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣻⢶⣤⡈⠻⢶⣀⠀⠙⠛⠢⢶⣄⡰⠤⠚⠋⠁⢀⣴⠟⠉⣠⣴⢿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣍⠻⣶⣄⠹⣦⡀⠀⢀⣀⣀⣀⣀⠀⠀⣴⠟⢁⣴⠿⣫⣵⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣌⠻⣷⣌⠛⠛⠉⠉⠉⠉⠉⠙⠛⢃⣴⠟⢁⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡈⠻⣦⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠙⢷⡀⠀⠀⠀⠀⣴⠏⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣔⡙⠦⣄⡤⠞⣡⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⠶⠤⠴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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