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⣿⣿⣿⣿⠟⣩⣴⣶⣦⣍⠻⣿⣿⣿⣿⣿⣿⣿⢏⣾⣿⣿⠿⣿⣿⣿⣌⢻⣿ ⣿⣿⣿⢏⣾⣿⣿⠿⣿⣿⣿⣌⢻⣿⣿⣿⠟⣩⣬⣭⠻⣿⣀⣿⣿⣿⢟⣤⡙ ⣿⠟⣩⣬⣭⠻⣿⣀⣿⣿⣿⢟⣤⡙⢿⣷⣤⣒⠲⠶⢿⣘⣛⡛⠿⣿⣸⣿⣿ ⣷⣤⣒⠲⠶⢿⣘⣛⡛⠿⣿⣸⣿⣿⣷⣝⠿⣿⣿⠸⣿⣿⣿⣿⣿⣦⢹⣿⣿ ⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣦⢹⣿⣿⣿⣿⣷⣌⠻⠟⣠⣴⣶⣦⣍⠻⡼⣿⣿ ⣿⣿⣿⣿⠟⣠⣴⣶⣦⣍⠻⡼⣿⣿⣿⣿⣿⢿⢏⣾⣿⣿⠿⣿⣿⣷⣶⣝⢿ ⣿⣿⣿⢏⣾⣿⣿⠿⣿⣿⣷⣶⣝⢿⣿⣿⠟⣩⣬⣭⠻⣿⣀⣿⣿⣿⣿⣿⣷ ⣿⠟⣩⣬⣭⠻⣿⣀⣿⣿⣿⣿⣿⣷⣦⣷⣤⣒⠲⠶⢿⣘⣛⡛⠿⣿⣿⣿⣿ ⣷⣤⣒⠲⠶⢿⣘⣛⡛⠿⣿⣿⣿⣿⣿⣿⣿⣷⣷⠸⣿⣿⣿⣿⣿⣦⣤⣍⠻ ⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣦⣤⣍⠻⣿⣿⣿⣿⣿⣷⣌⠻⢿⣿⣿⣿⠟⣁⡀ ⣿⣿⣿⣿⣷⣌⠻⢿⣿⣿⣿⠟⣁⡀⢀⣠⠄⣠⣶⣶⣿⣿⡗⣠⣴⣶⣦⣍⠻ ⣿⣿⣿⣿⣿⣿⣿⠶⠶⠶⠶⠾⠿⠁⢈⣴⣾⣿⣿⣿⣿⢏⣾⣿⣿⠿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣇⡈⢉⣩⡭⠽⢛⣒⣒⣒⣈⣿⣿⠟⣩⣬⣭⠻⣿⣀⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣇⣉⣥⣶⣿⣿⣿⣿⣿⣿⣿⣷⣤⣒⠲⠶⢿⣘⣛⡛⠿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠶⣦⣄⡴⠛⠁⠀⠀⢀⡀⣀⣠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⠁⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣯⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣫⣿⡷⣲⡹⢿⣏⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣮⣷⣿⣿⣿⣷⣿⣾⣯⣷⣏⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⡷⠐⢿⣯⣟⣿⡯⡿⣟⣽⣳⣿⡧⢯⣿⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢏⡶⣿⠆⢰⡛⣷⢿⢽⣵⣿⠟⣯⣿⣞⡵⣟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣗⡯⣥⣝⡟⣦⠹⣾⣫⣻⣿⣿⡯⡎⣿⡵⣟⠟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⣝⢋⡟⠀⠀⢻⣫⣦⡈⢛⣽⢿⣿⣿⡟⡿⡿⠃⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡷⣣⣻⠁⠀⠀⠀⢻⡎⣫⣆⠘⣿⣷⡿⡫⠏⠁⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣏⣟⡹⠁⠀⠀⠀⠀⠀⠳⡗⢧⣀⣜⠯⠏⠁⠀⠀⠀⠀⣾⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣦⡄⠀⠀⠀⠀⠀⠀⠈⠁⢧⢠⠀⠀⠀⠀⢀⣶⠎⠄⠀⠀⠀⠀⠀⠀⡀⡀⡀⣀⣀⣀⡀⣀⣀⡀ ⠀⠀⠀⡀⣀⡤⡤⠴⠄⡇⠀⠀⠉⠀⠀⣴⣟⣯⣇⠀⠀⠀⠀⣿⠀⠀⠀⠀⣴⠟⠉⠉⠉⠛⠛⠛⠛⠓⠚⠮⠠⠿⠾⠇⠵⠿⡷⠻⣿ ⣪⠟⠃⠈⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⣿⣿⡗⢻⡇⠀⠀⠀⢻⢀⢀⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑ ⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠹⣆⡀⠀⡻⠿⠷⣿⡇⠀⠀⣀⡜⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠉⢱⣿⣿⣿⣿⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⠀⠀⠄⠀⠀⠈⠀⠀⠀⠀⣀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⠏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠁⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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░░░░░▄▀▀▀▄░░░░░░░░░░░░░░░░░ ▄███▀░◐░░░▌░░░░░░░░░░░░░░░░ ░░░░▌░░░░░▐░░░░░░░░░░░░░░░░ ░░░░▐░░░░░▐░░░░░░░░░░░░░░░░ ░░░░▌░░░░░▐▄▄░░░░░░░░░░░░░░ ░░░░▌░░░░▄▀▒▒▀▀▀▀▄░░░░░░░░░ ░░░▐░░░░▐▒▒▒▒▒▒▒▒▀▀▄░░░░░░░ ░░░▐░░░░▐▄▒▒▒▒▒▒▒▒▒▒▀▄░░░░░ ░░░░▀▄░░░░▀▄▒▒▒▒▒▒▒▒▒▒▀▄░░░ ░░░░░░▀▄▄▄▄▄█▄▄▄▄▄▄▄▄▄▄▄▀▄░ ░░░░░░░░░░░▌▌░▌▌░░░░░░░░░░░ ░░░░░░░░░░░▌▌░▌▌░░░░░░░░░░░ ░░░░░░░░░▄▄▌▌▄▌▌░░░░░░░░░░░
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣷⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣦⣿⡗⢠⣤⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡟⠀⠈⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣷⣦⠈⢿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⠃⣸⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⠿⠃⣰⣿⣿⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠀⠀⠐⠚⠛⠛⠛⠛⠛⠛⣉⣉⣥⣴⣾⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣤⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢔⣒⠂⣀⣀⣤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⢠⣟⡼⣷⠼⣆⣼⢇⣿⣄⠱⣄ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⣆⠙⠢⠐⠉⠉⣴⣾⣽⢟⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠤⢴⣿⠿⢋⣴⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⠻⣿⣶⣦⣭⣉⠁⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠈⠉⠉⠉⠉⠇⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣘⣦⣀⠀⠀⣀⡴⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⣿⣿⣿⠻⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⣿⠉⠻⣇⠘⠓⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢶⣾⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠻⢿⣿⣿⠿⠛⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀ 🌹
꒰ঌ( •ө• )໒꒱
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢤⣤⡀⠀⢀⣤⢶⠲⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⣾⣦⡈⠛⣦⡾⣻⣿⣷⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣟⣿⣷⡶⠬⠉⠾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣾⣽⢿⣯⣅⣄⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡈⠻⢿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣶⠀⠀⠀⠀⠀⠀⣼⡟⠁⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⣸⡿⠁⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⢀⣿⠇⠀⡼⠁⠀⠀⠀⠀⠀⣤⠀⠀⢀⣀⡀⠀⠀⣀⣀⡀⠀⠀ ⠀⣿⠀⠀⠀⠀⣼⣿⣠⠞⠁⣴⣟⡷⢶⡀⠀⣿⡇⠀⣾⣾⢇⠀⣼⡿⣠⠟⠀⡀ ⠀⣿⠀⠀⠀⠔⣿⡟⠀⠀⢸⡿⠡⠷⣼⡧⠴⣿⣧⠀⢸⣿⣠⣰⣿⡏⠀⠀⡴⠃ ⠀⣿⠀⠀⠀⠀⣿⣇⠀⢀⡟⢷⣠⡾⠃⠀⠀⢸⣿⠀⡾⠀⠄⢸⣿⡀⣀⠜⠁⠀ ⠰⠿⠒⠀⠀⠀⢸⣿⣤⠎⠀⠀⠀⠀⠀⠀⠀⠀⠻⠚⠁⠀⠄⠀⠈⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⡇⠀⠀⠀⠀⠀ ⠀⠀⣀⠀⠀⠀⠀⠀⣀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠂⠀⡂⠀⠀⢠⠀⠀ ⠀⠸⣿⣆⠀⠀⠀⢠⠇⠀⠀⣴⡏⠀⠀⠙⢦⠀⠀⢰⣿⡏⠠⠀⠅⠀⠀⢸⡇⠀ ⠀⠀⠘⣿⣆⠀⢀⡏⠀⠀⢰⣿⠀⠀⠀⠀⠈⣇⠀⢸⣿⡇⠘⠀⠅⠀⠀⠘⡇⠀ ⠀⠀⠀⠈⢿⣦⡜⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢸⠀⢸⣿⡇⠀⠀⠎⡀⠀:: Mikangshu💕💋.. ⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢸⠀⠸⣿⡇⠀⠀⠂⠈⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⢸⠀⠀⢻⣷⡀⠀⠅⠀⢀⡼⠃⠀ ⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠙⢷⣀⠀⠀⣠⠞⠀⠀⠀⠙⠻⠦⠤⠴⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠈⠙⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠙⠀⢨⡟⠛⠻⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢠⣿⣷⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠈⠙⣷⡀⠀⠀⠀⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⣀⣼⠏⠀⠀⠀⣠⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⢿⣿⣿⣯⣥⣤⣤⣤⣤⣤⣤⠶⠶⠚⠋⠁⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣿⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠛⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠿⠶⠖⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀ ⠀⠀⠀⠈⣵⣾⣿⣿⣿⣿⠆⠀⣀⣠⣤⣤⣤⣤⣤⣤⣀⡀⠀⣠⣾⣿⠀⠀⠀⠀ ⠀⠀⠀⠸⠟⠁⠈⠻⠟⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡈⢻⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣻⣧⠈⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⠿⠿⠿⠟⠛⠋⣁⣤⣾⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣀⠐⠶⣶⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⠿⠟⠃⢢⣤⣈⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣶⡿⠋⠉⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣶⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠘⠻⠷⠾⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇ ⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣤⠀⠀⠀⠀⠀⠀⣀⡤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀ ⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⣦⣀⣸⣿⣿⣿⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀ ⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣇⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⡿⠋⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠿⠋⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠇⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀ ⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠈⠑⢦⡀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⣄⠀⢠⡟⠀⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀ ⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⠙⡄⠀⠀⠘⠓⢤⣀⠀⣠⠞⠀⠀⠀⣰⠀⠀⠈⠙⣶⠏⢿⣠⣾⣴⠋⠀⢀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀ ⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠈⠋⠀⠀⡿⠒⢤⡀⠀⠀⠈⠙⢣⡄⠀⣠⣾⡗⠦⢤⣄⡾⠃⠀⣸⣿⣨⡿⣄⣀⡏⠁⠀⠀⠀⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⡿⠀⠀⠀⣦⠀⢷⡀⠀⠈⢳⣦⡀⠀⠀⢳⠞⠁⣰⠳⠊⠉⠉⠱⣄⣴⠋⠀⣼⣧⣶⣤⣇⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⠀⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠇⠀⠀⢸⠈⢳⠀⠀⢸⠀⠀⢿⣤⣀⢀⣀⣠⠞⠃⠀⣸⡟⠘⢧⡏⢹⠁⠀⠀⢸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡄⠈⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⢺⡆⠀⠀⣷⡏⠀⠀⠀⣿⡆⠈⣷⢶⠛⡇⠀⠀⠉⢹⡉⠉⠀⠀⠲⣴⡏⠀⠀⡜⠀⡟⠀⠈⠙⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢱⡀⠀⠀⠙⣷⢦⣀⠀⠀⠀⠀⠈⢷⠀⠀⢸⡀⠀⠀⠀⢿⣠⡴⠛⠾⣧⠏⠀⠀⠀⠀⠳⢤⡤⠤⠚⠁⠀⠰⣼⠃⢠⡇⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡖⠋⠀⠘⣦⢿⠳⣄⠀⠀⠀⠈⢧⣀⣼⠁⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢤⣀⣀⣠⡴⠋⠀⢸⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡤⣄⡀⠘⡄⠑⢬⣳⢤⣀⠀⢈⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣌⡇⣼⠃⠀⠀⠉⠓⠫⠤⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠚⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⣀⣀⣠⣠⣤⣤⣶⣶⡖⠲⣦⣴⣶⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡟⣹⣋⣹⢏⣿⣿⣿⠯⠁⠐⠃⢘⠫⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⣿⣇⣄⣝⠏⠻⠛⠀⠀⠀⠀⠈⠰⠣⣻⡲⣤⣤⣴⡒⠒⠒⠒⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣇⣟⣿⠳⡏⠁⠀⠀⠀⠀⠀⠀⠀⠾⣿⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡏⣭⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠏⠑⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣗⢀⡀⠀⠀⠀⢠⣶⠠⠤⢒⣰⠒⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣐⡦⡹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⢀⠁⠀⠀⠀⠀⠉⠀⠀⠀⠁⢠⡇⠈⠀⡻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡭⠊⠁⠀⠀⠀⠀⠀ ⣠⣶⣶⣄⠀⠙⠿⣦⡤⠀⠀⠀⠀⠀⠀⢀⢀⣠⣾⣷⡀⠀⠁⠀⠘⠃⠀⠀⢶⠆⠀⠀⠀⠀⢺⠄⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⢎⡆⠀⠀⠈⠉⢉⣷⣶⠉⠴⣚⠗⢺⣿⣾⡿⣾⣷⡦⢄⣀⠀⠀⠀⠀⠚⠂⠀⢀⡤⠟⠫⢽⠄⠀⠀⠀⠀⠀ ⠀⠈⣿⣥⢸⡀⠀⠀⠀⣼⢫⠾⣿⣼⠻⡝⢾⡏⠀⠁⠀⠉⠉⠉⠋⠛⠒⠓⠶⢶⡶⣟⡛⠀⠉⠔⢾⠄⠀⠀⠀⠀⠀ ⠀⠀⣿⡎⢼⡇⠀⠀⣸⢿⡸⢠⣾⣏⠓⢠⢸⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡍⢿⣄⠀⡀⠎⠀⢀⡠⠤⢄⡀ ⠀⠀⢻⣫⢺⡇⠀⣰⢻⡿⠀⣸⣟⣟⠐⠀⢚⡿⣿⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠊⢃⣈⠦⡔⠁⢀⡀⢀⠇ ⠀⠀⠀⢻⣇⡉⢦⡟⡾⡈⠀⠉⣏⡉⠀⠀⢹⢛⣿⠻⡏⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⣪⠜⢠⡞⠁⣰⠃⠀⠀⠀ ⠀⠀⠀⠀⠛⢿⣿⡷⢵⡄⡀⠀⢨⡟⣦⢴⢾⠻⣯⣿⡇⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⠒⠋⠀⡠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⣔⣠⠄⠈⠐⠘⠱⠁⠚⣩⣷⠿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠒⠒⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣰⠂⠀⠀⠀⢀⣨⡿⣝⠀⡟⢆⠀⠀⠀⠀⠀⠀⠀⠀⣀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⠀⠀⠀⠀⠀⡈⢽⣻⢸⣏⠁⠀⠀⠀⠀⠀⠀⣰⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠶⠦⠴⠗⠋⠁⠀⠈⠂⠀⠀⠠⠤⠤⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⠖⠳⢲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣿⣷⡄⠀⠀⠀⣠⡶⣶⣤⣞⣹⣿⣷⠀ ⠀⠀⠀⠀⣠⣶⣶⣶⣦⣾⣅⣼⣿⣿⣿⣿⠀⠀⠐⢿⣰⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⣾⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⢿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣠⣤⣤⣤⡙⠻⠿⠃⠀⠀ ⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣼⣯⣤⣴⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⡿⠁⠀⢠⣿⣿⣿⣿⣿⣿⡾⠟⢻⣶⡀ ⠀⠀⢀⣴⣶⣶⣦⡀⠀⠀⠈⠉⠛⠁⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷ ⠀⠀⢸⣇⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃ ⢠⣾⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢠⣤⣶⣤⣀⠸⣿⠿⠿⠿⠿⠿⠟⠋⠀⠀ ⠸⣄⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⢹⣿⣿⣿⣧⠀⠀⢀⡴⢦⡄⠀⠀⠀⠀ ⠀⠉⠛⠛⠛⠛⠉⠉⠀⣤⣶⣶⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣤⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⠛⠛⠛⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣦⣤⣄⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⡶⠒⠚⠋⠉⠉⠀⠀⠀⠀⡉⠛⢾⡄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⢲⣾⠿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣴⡿⠛⠿⢿⣿⣿⣽⣆⠀⠀⠀ ⠀⠀⣴⣿⠁⠀⣰⣿⣿⣿⣷⠀⠀⠀⣠⣾⡏⠀⠀⢀⣼⣿⣿⣿⣿⣦⠀⠀ ⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢰⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⡏⢣⠀ ⢸⣿⣿⣿⣿⣿⡿⢿⣿⡿⠃⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⠇⠘⡇ ⢀⣿⣿⣿⣿⣯⣠⠾⠛⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣧⣴⠿⠟⠁⠀⠀⡇ ⠘⡇⠈⠉⠉⠉⠀⠀⠀⢀⡀⠀⠀⢀⣀⡀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⢀⡇ ⠀⢿⡀⠀⠀⠀⠀⠀⠀⠘⠻⣦⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀ ⠀⠈⣳⡀⠀⠀⠀⢀⡴⠒⠲⢄⣀⠤⠶⢤⡀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀ ⠀⠀⠐⢝⣦⣀⣠⣼⣧⡀⠀⠀⠀⠀⣰⣾⣧⣤⡀⠀⠀⠀⣠⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢽⡟⠀⣿⣷⡄⠀⠀⣨⣿⡏⠻⠎⣷⡤⠖⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠃⠀⠈⢿⣷⡀⠀⢿⡅⠀⠀⠀⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠦⢤⣤⠞⠉⠉⠉⠉⠙⠦⢤⠤⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀
➖➖➖🟥➖🟥 ➖➖➖🟥➖🟥 ➖➖🟥➖🟥 ➖➖🟥🟥 🟥🟥🟥🟥 ⬛⬛🔳🟥 ⬛⬛🏻🟥 ➖🟥🟥🟥🟥 ➖🟥🟥🟥🟨 ➖🟥🟥🟨🟨 ➖🟥🟨🟨🟦🟥🟨🟦 ➖➖🟦🟦🟦 ➖➖➖🏻 ➖➖🏻🏻
⠀⢰⠀⠀⠠⠤⡀⡠⡄⠀⠠⣄⡤⢀⠤⠤⢤⠀⢠⠀⠀⢀⠀⠀⢠⠀⠀⠀⠀ ⠀⢸⠀⠀⢘⠀⠈⠀⡇⠀⠀⢹⠀⢸⠀⠀⢀⡇⢸⠀⠀⢸⠀⠀⢸⠀⠀⠀⠀ ⠀⠸⠀⠀⠀⠑⠄⠈⠀⠀⠀⠘⠀⠈⠓⠶⠊⠀⠘⠦⠤⠊⠀⠀⠠ send this to someone you love :D⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣆⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢮⠑⠑⠉⠙⠽⣔⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣲⠖⠦⢦⣄⡀⠀⡧⠀⠀⠀⠀⠀⠩⣗⠀dainty⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⠇⠆⠀⠀⠀⠀⠈⠣⣽⠂⠀⠀⠀⠀⢭⡟⠀cherub⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⣏⠃⠀ ⠀⁠☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠖⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠬⠟⠁⠀⠀⠀⠀⣠⠦⣌⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⠢⢄⢀⠀⠀⢠⠋⠀⠀⣼⠋⠙⢹⠅⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⠵⡞⠀⠀⠀⢛⣅⠀⠀⢀⣴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⡄⠀⠀⠀⠈⡓⣎⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀
ㅤ⠀⠀⠀⠀ ⠀⢀⣤⣄ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡆ ⣠⣶⣿⣶⡀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠋ ⠀⠀⠀⠀⣾⣿⣿⣧⠀⠻⣿⣿⠿⠉ ⣰⣿⣿⣿⣿⣿⣿⣿ ⠸⣿⣿⣿⣿⣿⣿⠏ ⠀⠈⠛⠿⣿⣿⡟
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⣾⠟⣸⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠏⡀⡾⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣿⣦⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⠏⡼⢸⢣⣿⠿⠿⠟⠛⢛⣛⣛⣛⠛⢿⣷⢸⠸⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢹⣿⣿⣿⣿⣷⡌⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡏⣈⠁⢀⣤⣶⣶⣿⣿⡇⢸⣿⣿⣿⣿⠀⠻⠂⠃⠻⠿⠟⠛⣛⣛⢀⢨⣭⣭⣭⣤⣤⣤⣤⣤⣬⣭⡄⠉⣿⣿⣿⣿⣿⣆⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⣰⠟⠀⣼⣿⣿⣿⣿⢸⡇⢸⣿⣿⣿⣻⢸⡗⣂⠰⡄⢿⣿⣿⣿⣿⠸⢸⣿⣿⣿⣿⣿⡜⢿⢻⣿⣿⣿⢰⢹⣿⣿⣿⣿⣟⢆⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣴⡏⠆⢰⣿⣿⣿⣿⡇⠋⣁⠸⣿⣿⣿⣿⢸⡇⣿⡇⢳⡘⣿⣿⣿⣿⣇⣸⣿⣿⣿⣿⣿⣿⡜⡆⢿⣿⡟⡇⡜⣿⣿⣿⣿⡿⠘⢆⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡷⢀⣿⣿⣿⣿⣿⢰⠄⣿⣧⠹⣿⣿⣿⣾⡇⣿⡇⡀⢣⠘⣿⣿⣿⣿⡇⣿⣿⣿⢿⣿⣿⣷⡘⡘⣿⣷⢹⠀⣿⣿⣿⣿⢡⣿⡈⡆⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡇⣾⣿⣿⣿⣿⡇⡸⠀⢹⣿⡆⢿⣿⡆⡀⠇⣿⡇⢹⡈⢧⠹⣿⣿⣿⡇⣿⣿⣿⢸⣿⣿⣿⣷⠡⢹⣿⠸⡄⢸⣿⣿⢸⢸⣿⡇⢻⡄⠀⠀⠀⠀⠀⣠⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠃⣿⠸⣿⣿⠘⣿⡇⡇⢀⣿⡇⢸⡇⡈⢧⠹⣿⣿⠇⣿⣿⡟⢸⣿⣿⣿⣿⣇⠀⣿⡇⡇⢸⣿⣿⢸⠘⣿⣿⠘⣷⡀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡟⡁⣬⡛⠀⣸⠏⡄⣿⣿⡆⢿⣇⠀⢸⣿⡇⢸⣧⠁⠈⠧⠹⣇⠀⣿⣿⠁⢸⢹⣿⣿⣿⣿⡄⢸⡇⣿⠘⣿⣿⣼⡄⣿⣿⡄⢹⣷⡀⠀⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⢁⣧⢹⣷⡀⠟⣰⠃⢸⣿⣷⢸⣿⠀⢸⣿⡇⡀⣿⡘⠰⡄⠀⠘⠀⣿⣿⠀⠸⡆⣿⣿⣿⣿⣿⠈⣇⢸⡄⣿⣿⣿⡇⢿⣿⡇⠈⣿⣧⠀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⣿⣿⢸⣿⣇⢻⣷⡄⠃⠈⠘⣿⣿⡄⣿⡆⣾⣿⠃⣧⢹⣇⠃⣩⣶⣶⣶⣤⣍⣀⠀⢲⠠⣭⣍⣛⠻⠇⢁⠸⠇⣛⢻⣿⣷⢸⣿⣿⠀⢹⡿⢰⣿⡿⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀ ⣿⣿⣿⡇⣼⣿⡏⠈⢿⣿⡄⢦⠀⣿⣿⣇⢻⢰⣿⣿⢠⠿⢈⣠⣾⣿⡿⢙⠛⠻⠿⣿⣷⡈⠆⠙⣿⠿⢛⣥⣴⣾⣿⣿⣧⡘⣿⡀⣿⣿⡆⠘⠃⣿⣿⡇⠀⠀⠀⠀⣠⣿⠃⠀⠀⠀ ⣿⣿⣿⡇⣿⣿⡇⠠⠘⣿⣷⡘⠆⣿⣿⣿⡄⣾⣿⣇⢀⣴⣿⣿⠟⠁⢰⣿⢸⣦⡀⠈⠻⠙⠆⠀⡴⣊⠿⠟⠋⢡⡄⢺⣿⣷⡈⠇⢻⣿⣧⠀⢸⣿⣿⢀⠀⠀⢀⣴⣿⠃⠀⠀⠀⠀ ⣿⣿⣿⡇⣿⣿⡇⠀⢀⢹⣿⣿⣄⣹⣿⣿⣿⣿⣿⣿⣾⣿⡟⠁⠘⣧⠀⢻⢸⣿⠇⣠⣤⠀⠘⠦⠀⢦⠘⡿⣀⠈⠀⣆⢻⣿⣿⣄⢸⣿⣿⠀⣿⣿⡏⠈⠀⣠⣿⡿⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⡇⣿⣿⣇⢠⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠆⠀⠘⢷⡈⠊⠁⠀⠤⠀⠀⠀⠀⠤⠀⠑⠀⠛⠀⢰⡇⣀⢻⣿⣿⡀⣿⣏⣸⣿⣿⠇⢠⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣷⣿⣿⡇⢸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣶⣶⣶⣮⣥⠔⠁⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⠇⡏⢸⡿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⣿⣿⡏⣿⣿⡇⠈⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠻⣿⣿⣿⣿⡅⡀⠀⠀⢦⡴⠀⠀⠀⣼⣿⣿⠃⢀⠀⣾⢰⠃⢸⣷⣬⣛⠿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⡇⡏⣿⡇⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡙⠿⣿⣿⣧⡀⠀⢤⣬⡀⠀⠀⣰⣿⣿⠃⢰⠏⢠⡏⡘⠀⣾⣿⣿⣿⣿⣶⣭⣛⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⡇⡇⢿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣌⡛⠿⢿⣷⣄⠀⠁⠐⠚⠛⠉⠡⡞⢀⠄⠿⢁⣡⣾⣿⣦⣝⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡇⠷⢈⣴⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣶⣬⡙⢿⣿⡷⠂⣊⣭⣤⣥⣴⣶⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⣇⡿⠟⣁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣩⣴⣾⣿⣷⣶⣶⣬⣍⡛⠻⢿⡆⢡⣶⡿⠿⠿⠻⠛⠛⠛⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀ ⢋⣤⣾⣿⣿⣿⣿⣿⣿⣿⠿⢋⣉⡭⠍⠉⠄⢐⣒⠂⠬⠭⠍⣛⠻⢿⣿⣿⣿⣷⣦⣴⣦⣶⣶⠞⠀⢛⡉⠀⡤⣼⣿⠃⠀⡆⢉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠟⢉⣴⡄⢂⠰⣿⣿⣿⣿⣿⣶⠘⠁⠀⣹⣿⣿⣿⣿⣿⣿⡿⢋⣴⣿⣿⢃⡞⢰⣿⠃⢀⢂⣧⢸⣿⣦⣙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢡⣶⣿⣿⣿⣦⡁⠈⡙⠿⠿⠟⠋⠁⣀⣴⣿⣿⣿⣿⣿⠟⢋⣴⣿⣿⣿⠇⡾⢡⣿⠃⢠⣿⢸⣿⣸⣿⣿⡟⣸⣶⠆⠀⣉⠙⠛⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢡⡄⡈⠻⣿⣿⣿⣿⣿⣶⣤⣭⣭⣥⣴⣾⣿⣿⣿⣿⠟⠋⣠⣦⡙⢿⣿⣿⠏⡜⢁⡿⠃⣰⣿⣿⢸⣿⣿⣿⣿⢡⣿⡟⡰⣡⠹⣿⣦⡘⣿⣿⣿⣿⣿⣿⡄⠀ ⣿⣿⣿⣿⣿⠟⠁⢰⡘⠃⣿⣦⣈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠁⠐⢾⣷⣌⠙⠿⣦⡙⠋⠈⢀⠞⢁⣼⣿⣿⣿⢸⣿⣿⣿⠏⣾⡿⠁⣱⠟⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⠟⢡⣾⠷⣀⠛⠀⣿⣿⣿⣷⣄⠈⣙⠛⠛⠛⣛⣉⣥⣄⡌⠀⠀⠀⠈⠻⣿⣷⣤⡈⠁⠀⠀⠋⠴⣿⣿⣿⣿⣿⡄⡟⣿⣟⣼⡟⠁⠐⠁⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⡿⢃⠴⢛⣥⡾⠋⠀⠀⣿⣿⣿⣿⣿⣷⣌⡛⢿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠈⠻⠟⡅⢀⣠⣀⠉⠓⠬⠙⠻⢿⣿⣇⠃⣿⣿⣏⠀⢀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠀ ⠋⣠⣴⣾⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠋⠉⠁⠀⢠⣤⠄⠈⠛⠀⠸⣿⠃⣠⣿⣿⣗⡲⢦⠠⣀⠘⣿⣿⣿⣿⣿⣿⣿⠀ ⣾⣿⡿⠋⠁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⠀⣀⣠⣤⣶⣶⣿⣿⣿⣷⣦⣬⡙⠿⣿⣿⣷⡌⢷⡘⢧⢹⣿⣿⣿⣿⣿⣿⠀ ⠋⠁⠀⠀⢀⣠⣴⣿⣿⣿⣶⣶⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣶⣦⣤⣄⣤⡄⢻⣿⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⡙⢿⣿⡎⢧⠈⠈⣿⣿⣿⣿⣿⣿⠀ ⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⢿⣿⣿⣿⡌⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣠⣴⠾⠟⠛⠻⢶⣤⡀⢀⣠⡶⠟⠛⠛⠷⣦⣄⠀ ⣴⡟⠁⠀⠀⠀⠀⠀⠈⢿⡟⠋⠀⠀⠀⠀⠀⠈⢻⣦ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿ ⠘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠃ ⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⠟⠁⠀ ⠀⠀⠀⠈⠻⣶⣄⠀⠀⠀⠀⠀⠀⣀⣶⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⢷⣤⡀⢀⣤⡾⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬛⬜⬛⬜⬜⬛⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠉⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠉⠉⠙⢲⠋⠁⠀⠘⡷⡄⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⡴⠒⠢⡄⠀⠀ ⠀⠀⠀⠀⣠⠋⠁⠀⠙⢾⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠁⠀⠀⠀⠀⡰⠃⠀⠀⠀⠱⡜⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⣀⡞⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠘⠈⠀⠀⠀⡎⠀⠀ ⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⣠⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣠⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢠⠏⠀⠀⠀⠈⢣⠀⢀⠖⠉⠀⠈⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⡤⠒⣄⠀⠀⠀⠀⠈⠳⢄⠀⠀⣠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠲⠤⣄⡀⣀⡔⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣷⠃⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⢠⠖⠒⢼⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡅⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⡼⠀⠀⠀⠀⡾⠋⠉⠛⠳⣄⣴⠃⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⢀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⢀⡇ ⠀⠀⠀⠀⠀⠀⠀⡞⠉⠙⢾⠇⠀⣿⡄⠀⠀⠀⠀⠀⠀⠈⠳⣀⠔⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⣧⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣄⠀⠀⠀⢀⡴⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⡠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠮⣲⠾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠓⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⠤⠒⢭⡑⢤⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠲⢄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡤⠊⠀⠀⣀⡀⠈⠢⠱⡄⠀⠀⠀⠀⢀⠔⠋⠀⣀⠠⠄⠈⠣⢄⠀⠀⠀⠀ ⢀⠔⡉⠀⠀⠈⢰⠀⠉⠓⠤⡀⠈⢦⠀⠀⣰⠃⠀⣀⡤⢴⡀⠀⠒⠀⠀⠗⡄⠀⠀ ⣯⠉⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⠲⡈⣆⢰⠁⣠⠎⠁⠀⠀⢁⠀⠀⠀⠀⢠⡇⣤⡀ ⠀⢧⠀⠀⠀⢀⠸⡀⠀⠀⠀⠀⠀⠘⣼⣧⠞⠁⠀⠀⠀⠀⢸⡀⠠⠄⠒⡸⠂⡿⡇ ⠀⠀⢣⡠⠞⠁⠀⢣⠀⠀⠀⠀⠀⠀⠉⠛⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⢠⢃⡼⢡⠃ ⠀⠀⠀⠙⣄⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⣰⢋⠞⡰⠃⠀ ⠀⠀⢰⣦⡘⠣⡀⠀⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠀⠀⣠⢾⣱⡷⠊⠁⠀⠀ ⠀⠀⠀⠙⢿⣦⡈⠢⣀⠀⠙⣄⠀⠀⠀⠀⠀⢀⡜⠁⠀⣠⠞⠁⠈⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⢝⠣⣌⠑⢤⡈⠣⡀⠀⠀⢀⠋⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⠒⠻⠶⠈⠑⠻⠆⢠⠏⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠳⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢠⣀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⡶⢬⠻⠴⣒⢉⡉⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⣄⡠⠓⠛⢀⡾⢀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⡤⢯⡀⣠⡶⠋⠰⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠃⡜⠀⡎⠈⢱⣤⡬⢷⡀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠃⢰⣅⣼⠀⠀⡾⠀⠈⣦⣽⡌⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠁⣰⡟⡹⠛⠶⣴⣇⠀⢰⠏⠉⢳⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡄⠻⣵⡇⠀⠀⠇⠈⠙⡿⠬⣀⡼⢤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⣌⠳⢤⣧⡄⠀⡄⠀⠀⠴⢿⣄⡙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢤⡙⢿⣿⣷⣤⡀⠀⠀⠘⣻⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠙⣍⢻⣿⡀⠀⠀⣸⡇⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⢺⣷⣿⣿⡶⠿⢿⣇⠰⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠈⢿⣿⣿⣷⡴⠟⢫⣆⠹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⢏⠉⠃⠀⠀⠀⠙⣷⠘⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⠀⢀⠀⠀⠀⢀⠜⢠⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⡇⢸⠀⠀⢠⠎⣠⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠣⣸⠤⠊⢁⡴⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⠤⠴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣤⣤⣄⡤⠤⣄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀ ⠀⣴⢋⠅⣜⣋⣋⣓⡛⡿⣲⡀⠀⣠⣶⠋⢋⡉⡈⡉⡙⢟⣇⠀⠀ ⢠⣯⢊⢎⡥⠤⠤⠤⢌⣉⠑⣛⣆⣎⣗⠭⠥⠤⠤⢄⡁⠓⣽⡵⡀ ⢸⡇⡞⡏⠉⠁⠉⠑⠒⠤⠭⣦⣿⡗⡡⠚⠉⠉⠉⠉⠙⣧⣸⣼⡇ ⠀⣧⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀⢹⡇⡝⡅ ⠀⢙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢱⢫⠅ ⠀⠀⢻⣧⡀⠀⠀⠀ ⠀ 𝓛𝓸𝓿𝓮⠀⠀⠀⠀⠀ ⢀⣎⡏⣌⠃ ⠀⠀⠀⢕⡝⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⢃⣟⢔⠅⠀ ⠀⠀⠀⠀⢟⡄⠫⡗⣄⠀⠀⠀⠀⠀⠀⣀⡴⠋⢁⣤⠟⡅⠎⠀⠀ ⠀⠀⠀⠀⠀⠯⣆⠑⢍⢗⣄⠀⠀⡤⠊⠁⣠⡔⣧⠇⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⡗⣄⠛⣯⣇⡞⣁⣔⢟⡫⢊⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠫⡣⡈⠻⣟⡕⠊⢁⠔⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠪⣮⣏⣇⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣤⣤⣤⣄⠀⠀⣀⣤⠶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠟⠀⠀⠀⠉⠻⣾⠋⠀⡎⢱⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⠑⠊⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠳⢦⣄⣀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠖⠛⢛⠓⢦⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⣦⠀⢰⡆⠀⣰⠄⠀⠀⠀⢸⠁⢾⣉⣻⡿⠀⣹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠈⠀⠀⠀⠀⠁⠀⠀⠀⠀⠘⢧⣤⣩⣉⣠⡴⠋⠀⠀⠀ ⠀⠀⠀⣀⡀⢀⣀⣤⡞⠉⠉⠻⣦⠶⢶⣤⠴⠶⠚⠛⠒⠒⠶⠦⣤⡀⠛⠋⠉⠀⠀⠀⠀⠀⠀ ⠀⢠⡞⣩⡿⠋⠁⠀⠀⠀⠀⠀⣿⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠨⠟⠉⠉⠙⢦⡀⠀⠀⠀⠀ ⠀⣯⡾⠋⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⡆⠀⢘⡇⠀⠀⠀⠀ ⠀⡽⠁⠀⠀⠀⠀⠀⠀⠀⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⢀⡼⠃⠀⠀⠀⠀ ⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⢻⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣆⣀⠀⣶⡆⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀ ⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⡿⢏⢿⠧⢶⠉⡇⠲⠂⢱⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀ ⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠛⢦⣬⣷⡞⠀⠑⠤⢤⣊⡀⠀⠀⠀⣀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⣓⠶⣤⣤⣤⠀⠀⠀⠈⠉⠙⠋⠉⠉⠉⠉⠉⠷⡶⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⠀⡟⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡏⠀⡇⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⢰⠒⠒⠒⢻⠉⠁⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠃⠀⢁⡾⠛⠂⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠳⣤⣤⣦⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠷⣤⠀⠀⠀⠀⠀⠀⠀⠀⣸⠛⠀⠀⠀⠀⢱⡾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⡖⡇⠀⠀⠀⠈⣿⠓⢲⡄⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠲⠶⠾⣿⣾⣷⣧⣤⣤⣶⣾⣿⣶⣾⣷⣾⣶⣶⡿⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣾⡟⣿⣿⡇⡟⣾⣿⣿⣿⡟⢿⣾⣾⣿⣿⣿⣿⣷⣾⣾⣿⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢔⣒⠂⣀⣀⣤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⠋⢠⣟⡼⣷⠼⣆⣼⢇⣿⣄⠱⣄ ⠀⠀⠀⠀⠀⠀⠹⣿⡀⣆⠙⠢⠐⠉⠉⣴⣾⣽⢟⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠤⢴⣿⠿⢋⣴⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⠻⣿⣶⣦⣭⣉⠁⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠈⠉⠉⠉⠉⠇⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⣘⣦⣀⠀⠀⣀⡴⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⣿⣿⣿⠻⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⣿⠉⠻⣇⠘⠓⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢶⣾⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠻⢿⣿⣿⠿⠛⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⡀⠀⢀⣤⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⢯⡿⣽⢿⣦⣾⣟⣯⢷⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣯⢿⡽⣿⢾⣳⣟⣾⣻⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣯⡿⣽⢯⣷⣻⣞⣷⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡿⣿⡾⣷⣏⡷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣿⠳⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⠀⠀⠀⠀⠀⠀⣴⡟⠉⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⣸⡿⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⣿⠇⠀⡜⠀⠀⠀⠀⠀⠠⡄⠀⠀⢀⣀⠀⠀⠀⢀⢀⠀⠀ ⣿⠀⠀⠀⠀⢸⣿⣠⠞⢀⣴⣿⡶⢄⠀⠀⣿⡀⠀⣾⣸⠀⠀⣼⡏⣨⠃⠀ ⣿⠀⠀⠀⠄⣿⡏⠀⠀⣼⣿⠘⢧⣸⣀⠴⣿⡇⠀⢹⣧⣀⣸⣿⠋⠁⠀⡔ ⣿⠀⠀⠀⠀⣿⡇⠀⢀⠾⢇⣀⠴⠁⠀⠀⢹⣷⠀⡜⠀⠀⢸⣿⠀⣀⠜⠀ ⣿⠀⠀⠀⠀⢸⣧⣀⠎⠀⠀⠀⠀⠀⠀⠀⠈⠿⠔⠁⠀⠀⠀⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠸⣿⣄⠀⠀⠀⢰⠃⠀⠀⣴⠏⠀⠈⠑⣄⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠙⣿⡆⠀⢀⠃⠀⠀⣼⣿⠀⠀⠀⠀⠘⡆⠀⢸⣿⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠈⢿⣆⡜⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢡⠀⢸⣿⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠈⣿⡇⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢸⠀⠸⣿⡄⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⣿⡇⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⢸⠀⠀⢿⣇⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⣿⡇⠀⠀⠀⠈⠻⣅⠀⠀⠀⢀⠌⠀⠀⠈⠻⢦⣀⣀⡠⠞⠁⠀ ⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠈⠛⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠂⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠁⡀⠐⠈⠀⠐⠈⠀⠐⠀⠐⠀⡀⠂⠀⠐⠀⠠⠐⠀⠀⠄⠀⠠⠀⠀⠄⠀⠀⠄⠀⠀⢸⡿⠀⠀⠀⠀⡀⡀⠀⢀⠀⠀⡀⠀⢀⠄⠀⡉⠀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⢀⠀⠄⠈⠀⠁⠈⠀⡁⠈⠀⠄⠀⢀⠈⠀⠠⠀⠀⠀⠂⠀⠀⣄⣠⣤⣤⠴⠶⢶⡶⠶⠬⠿⢤⣀⣀⠈⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⢀⠀⠠⠀⠂⠁⢀⠈⠀⠄⠁⢀⠠⠀⠀⡀⠐⠀⢀⠈⢀⣤⠶⠛⠉⠁⣠⠀⠀⡠⠀⣤⢋⠁⠐⠠⡀⢈⠙⠒⢤⣀⠀⠃⠀⠀⠂⠀⠀⠂⠀⠀⠂⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡀⠠⠀⠠⠐⠀⠈⡀⠂⢀⠠⠀⠀⠠⠀⠀⡀⠄⣠⣴⡿⠋⠀⢀⣴⠞⠁⢀⠜⣠⠞⢡⠃⠀⢠⠀⠑⡄⠑⢄⠀⠈⡓⢤⡀⠀⠀⠀⠄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠄⠀⠐⠀⡀⠄⠁⠀⡀⠄⠁⠀⠐⠀⡀⠁⣠⣾⡿⠟⠀⠀⣰⡿⠃⠀⠠⢁⡴⠁⢀⡇⢠⠃⢸⠀⠀⢸⡄⠀⢣⠉⠠⡀⠑⢆⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⢀⠈⠀⠄⠀⠀⠄⠂⠀⢀⠠⠈⠀⡀⢀⡼⣿⠏⡁⣠⠃⣼⠟⡀⠀⠀⣿⡾⡅⠀⣼⠀⡼⠀⠈⡇⠀⢸⢣⠀⠀⠃⢠⠑⢤⡈⠳⡀⠀⠀⠁⣀⣠⣤⠤⠄⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⡀⠀⠂⢀⠈⠀⡀⠄⠂⠀⢀⠠⠀⢠⡿⣽⢫⠖⢰⠃⣸⣏⡞⠀⢀⣾⣿⠇⠀⡄⡇⢸⡇⠀⠀⢳⠀⢸⡼⡄⠀⠀⠀⡇⠀⠱⡀⢳⣀⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠀⠀⠂⠀⠠⠀⢀⠀⠀⠂⠀⠀⣴⡿⣻⠃⡞⢀⠃⢀⣏⡞⠀⠀⣾⣿⣿⣀⢰⠃⡇⠀⢧⠀⡃⠈⣇⢸⣷⡇⠀⠀⠀⢸⠀⠀⢱⣀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⢀⠈⠀⠠⠀⠀⠂⠀⢁⣾⣿⣱⠏⢸⠇⠀⡤⢾⣿⠗⠛⢻⣿⠋⣟⠀⣸⠃⣷⠀⠘⢦⡇⠀⠸⣟⣿⡆⠀⠀⠀⠘⡆⠀⠀⣿⣳⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠄⠂⠀⠐⠀⠀⠁⡀⢨⣾⣿⢃⡿⢀⣹⡤⢁⠀⣿⣟⠀⠀⣿⡿⠀⣯⠀⣿⣷⠸⣇⢤⡈⢷⡀⠀⢸⢿⣷⠦⣀⠀⢈⡇⠀⠀⠸⡇⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠐⠀⠈⠀⠄⢨⣿⢣⡏⣼⣏⠀⢿⣷⠀⢢⣿⣯⡀⢸⣿⣇⠀⢹⡆⣿⣿⣤⡻⣦⣿⣦⣽⣶⣾⣈⣻⣤⠈⠙⢺⡇⠰⠀⠀⣷⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠂⠁⠀⢀⣿⡇⣾⡐⣿⣿⠈⢾⣿⡆⣹⣇⣹⣷⣾⣬⣿⡀⠈⣿⣯⢻⣿⣧⠉⢻⡟⣷⡄⢹⠀⢸⡇⠀⠀⣼⡇⠀⠀⠀⢹⠈⡟⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠠⠈⢸⡿⢸⣷⡚⣿⣿⡡⢘⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⡄⠈⠎⠢⢽⣿⣷⣄⡇⠈⣿⣿⣄⣀⣿⠀⢠⣿⠃⠀⡀⠀⣽⠀⣷⣿⡄⢠⠀⡄⡀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡧⣿⣿⡔⣿⣿⣇⠄⣿⡇⠈⢧⠈⢿⣿⣾⡶⠋⠁⠀⠀⠀⠀⠙⠙⠻⣷⣾⡿⣿⣿⣿⣿⣤⣿⡿⠠⠀⡄⢠⣿⠀⣿⣽⡇⠢⠑⠈⡜⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⣿⣿⣿⢧⣿⣿⣿⣖⡸⣷⠀⠀⠑⠤⠭⠏⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣯⡍⠸⣿⣿⣧⠀⢨⣇⣾⣿⠀⣟⢸⡇⠀⠀⠀⡜⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠘⣿⣿⡿⣿⣿⣿⣿⢿⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠒⢤⠀⠀⠀⠀⠤⣛⣛⣋⠀⠈⢁⣿⠇⡀⣾⣽⢿⡁⢠⡟⣼⡇⠀⢀⠒⡌⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢨⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⠳⣄⡀⠀⠀⠀⠀⠀⠀⢧⢀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⡰⣰⣿⡟⣾⢠⣾⣧⣿⠀⢀⠌⡓⣌⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠶⢶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⢿⣟⣵⣿⡟⢧⣿⣿⣿⡿⠃⠀⡌⢎⡱⢌⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡆⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣀⢸⢁⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⠀⠀⠀⣼⠃⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠁⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⢂⡐⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣦⣤⣼⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢻⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡐⠀⠀⠀⠀⠀⠀⡀⢸⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣯⣭⣯⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣾⠀⠀⠀⠀⠀⠀⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡷⣈⠐⠀⠀⠀⢀⠐⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡾⣿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣅⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡱⢊⠐⡀⠂⠌⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣇⣀⣀⣀⣸⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⢸⡀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⢻⣕⠣⠄⡡⢁⢲⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠈⠀⣹⠟⢄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠟⢩⣯⠓⡌⠐⣠⡟⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢀⣀⣠⣖⣦⡀⠀⠀⢹⡀⠀⠀⠀⠀⣿⡇⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡃⠀⣼⣹⡗⡌⠡⢼⠃⠀⠀⠀⡼⣿⣿⣗⢠⠄⠀⠀⠁⠀⠀⠀⠀⠈⠙⢿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡌⣿⣾⡇⡷⠀⠀⠀⣧⠀⠀⠀⠀⡿⠁⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠷⠦⢹⣟⡷⣌⠡⣿⠀⠀⠀⠀⠙⠬⠽⠽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⠿⠛⠁⠀⠀⠀⣿⠀⠀⠀⠀⡷⢤⡿⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⠰⢦⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡍⡆⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣋⢿⡔⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣯⠄⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠙⢯⣟⡶⣆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⡼⡎⡑⢌⠻⣦⣀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⡿⠛⠁⠀⠀⢸⠀⠈⠙⠻⢽⣷⢦⣄⣀⡀⢀⠀⢀⠀⣀⣠⣴⡿⠁⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⢻⡔⣈⠒⣿⢩⢛⣟⠾⣳⣛⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⠛⠛⠛⠉⠁⣼⠁⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡪⡕⣣⠤⣉⣿⠀⢊⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠀⠀⠀⣿⠀⠂⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢸⣇⠳⢆⡱⠠⢿⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⡁⠀⠀⠀⠀⠀⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⡻⢜⡰⡉⢾⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠠⠐⠀⠀⠀⡀⠌⢸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢩⠖⣡⠇⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⠩⠄⢂⠁⡰⠈⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡎⢽⢠⢋⠴⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢿⣆⡘⠤⢂⡱⢈⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⡜⢢⠉⠆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡐⠠⢉⠻⢶⠡⢆⢃⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡘⠤⡉⠆⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠸⣇⠑⣈⠒⠤⢋⠴⣩⡇⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠤⠴⠒⠊⠁⣤⣧⠤⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠂⠤⢴⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠋⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠧⣄⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡄⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠈⠓⣄⠀⣰⠫⣯⣍⣣⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⡀⢣⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⢿⣧⣿⣿⡟⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⠙⢮⣧⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⣟⣿⣟⣿⢹⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⡆⠀⠙⢧⠀⠀⠀⠳⡀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⢀⣠⠔⡏⠻⡄⠀⠀⠈⠁⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⡄⠀⠀⠳⡀⠀⣶⠓⢆⡀⠀⠀⠀⢇⣠⠤⠒⢲⠉⢉⡤⡾⠃⠀⣇⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣶⠦⣜⣦⠀⠀⠹⡄⠘⢆⠀⠙⠦⣀⠀⠸⠃⠀⠀⣸⢠⡏⡴⠃⠀⡰⠃⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢳⡄⠀⠈⠳⣄⠀⠈⢲⡤⢷⡀⠀⠈⠑⠲⠤⢄⣠⣯⡾⠯⠐⠒⠊⠀⠀⠀⠀⠀⢠⢏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢤⡀⠀⠈⠓⠤⣀⣳⡀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⠽⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⡶⠶⠭⢶⣄⡀⠀⠀⠉⠙⠢⣄⣀⠀⠀⢀⣴⣁⣀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠑⢤⡀⠀⠀⠈⠉⠒⠲⠤⠯⣀⠀⠀⠀⡼⠁⠀⠀⠙⢦⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⡘⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢉⣑⣢⠤⢄⣀⣀⡀⠀⠈⠑⣦⠐⡇⠀⠀⠀⠀⠈⢣⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣀⠀⠀⠀⠀⠀⠀⠉⠉⣉⣉⠷⢇⠀⠀⠀⠀⠀⠈⢇⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⡆⡸⠀⠸⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⢉⡯⠟⠋⠉⠉⠁⠀⣀⠼⡆⠀⠀⠀⠀⠀⠘⡄⠀⢸⡀⠀⠀⠀⠀⡆⢠⡷⠃⠀⣀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠼⣅⣀⣀⣀⠤⠴⠒⠋⠁⠀⣹⡄⠀⠀⠀⠀⠀⢳⡀⠀⣇⠀⠀⠰⡄⣿⣿⠁⠀⢀⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠶⢶⣒⣈⣉⣀⡼⣄⠀⠀⠀⠀⠀⢧⠀⠸⡄⠀⠀⣧⡟⠀⠀⢀⢸⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠈⡆⠀⠹⣄⣸⠋⠀⠀⠀⠘⣾⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠸⡄⠀⠈⠳⡀⠀⠀⠰⡀⣇⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣀⠀⠘⣆⠀⠀⠹⣄⠀⠀⢷⢷⣹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢶⠬⣧⡀⠀⠘⠶⣄⡼⠉⢯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠸⡗⢤⣀⣀⣼⠙⣄⣸⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⣉⡭⠭⢵⣒⠲⠛⠀⠳⣶⠾⣏⠘⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⡇⠀⠀⢀⡠⠴⠚⠉⠉⠻⠒⠛⠳⣄⠈⠩⣉⣉⠒⠢⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠈⢦⣼⠾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣤⣤⣄⣴⣴⣢⣤⣴⣤⣔⣦⣄⣤⣤⣤⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀
⣄⠀⠀⡄⠀⡤⢠⠇⠁⠉⠁⠀⠀⡖⠒⠒⠂⠀ ⡏⠳⠏⢧⠀⡇⠈⠉⠉⢳⠀⠀⠛⠒⠒⢆⠀⠀ ⠃⠀⠀⠀⠁⠘⠀⠀⠒⠋⠉⠀⠀⠀⠒⠒⠚⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡀⠀⠀⠀⢠⠄⠀⣀⠤⢤⠀⢰⠀⠀⠀⡆ ⠀⠀⠀⠓⢆⢠⠔⠀⢸⠁⠀⠀⡇⠀⡇⠀⠀⡇ ⠀⠀⠀⠀⠀⢹⠇⠀⠀⠙⠒⠚⠁⠀⠘⠒⠁⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠈⠃⠀⠀
⠀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡐⠁⠀⠀⠈⠈⠐⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⠀⠀⠀⠀⠀⠀⠀⢀⠔⠊⠉⠉⠉⠉⠉⠉⢹⠀⠀ ⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅ ⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆ ⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠀ ⠀⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀ ⠀⠀⠀⠈⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡀⠔⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠂⡀⠀⠐⢦⣀⠀⢀⠎⠀⠀⠀⠀⢀⠠⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠈⠉⠉⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡄⠀⡠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠈⠙⠁⠀⣀⣠⣤⣤⣀⡀⠀⢰⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⣿⣿⣿⠂⣠⣴⣿⣿⣿⣿⣿⣿⣦⠀⣠⣾⣿⣿⣿⣿⣿⣿⣦⡈⠛⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣤⣤⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣶⣿⣶⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠻⢿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⠿⣣⡴⢾⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣠⣶⡶⠶⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠋⠀⠀⠹⠿⠏⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠸⠿⠃⠀⠀⠘⣷⠀⠀⠀⠀⠀ ⠀⡀⢀⣴⣶⣿⣶⣶⣶⣦⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⣴⣾⣷⣶⣿⣷⣦⣀⣀⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣰⡿⠀⠈⠙⢿⣿⣿⣿⠋⠻⣦⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⢿⣿⣿⠿⢿⣿⣿⡿⠟⠶⣤⣰⡾⠋⠀⠀⠀⢀⣀⣉⣻⣁⠀⠀⠉⠻⣦⣤⠖⠛⢿⣿⣿⡿⠟⢿⣿⠿⠛ ⠀⠀⠉⠁⠀⠀⠙⠛⠀⠀⠀⠉⠋⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠉⠁⠀⠀⠀⠙⠉⠀⠀⠈⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
. ⣀⣤‌⣤⣤⣀ ⣀⣤⣤‌⣤‌⣀ ⣠⣾⣿⣿⣿⣿⣿⣧⣄  ⣠⣼⣿⣿⣿⣿⣿⣷⣄ ⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟ ⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋ ⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋ ⠙⢿⣿⣿⣿⣿⡿⠋ ⠙⢿⡿⠋ ︵ ‌ ︵ ( ╲ / / ╲ ╲/ / ╲ ╲ / ╭ ͡ ╲ ╲ ╭ ͡ ╲ ╲ ノ ╭ ͡ ╲ ╲ ╱ ╲ ╲ ╱ ╲ ╱ ︶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⠿⠿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣤⣶⣶⣦⣤⣀⡀⠀⠀⣀⣴⣿⣿⣿⣥⠤⠤⣴⣄⠈⠙⠻⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⣠⣾⡿⠛⠋⢉⣉⣩⣿⣿⣿⣿⡿⢿⣿⠟⣋⣩⣤⠤⢤⣀⠙⢿⣆⠀⠘⣷⠀⠀⠀⠀⠀ ⠀⣰⣿⠋⠀⢀⡴⠋⠁⠀⠀⠀⠀⠉⠉⠉⢡⠾⢉⡿⠁⢰⣦⣈⠷⡌⢻⣆⠀⢹⡇⠀⠀⠀⠀ ⢐⣷⡇⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⢸⠃⢸⠿⣿⣿⣿⣮⣈⣿⠀⢀⡇⠀⠀⠀⠀ ⠀⣿⡆⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠸⡇⢸⠀⠙⢿⣿⣿⣿⣿⠀⢸⣟⠳⢦⡀⠀ ⠀⢹⣇⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⢸⡟⠸⡆⠀⠀⠉⠉⣿⡏⢀⣿⣿⣷⡈⢳⡀ ⠀⠈⢿⣦⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⢿⡀⢻⡀⠀⠀⣼⡟⢀⣾⠙⡿⠿⠷⡄⢧ ⠀⠀⠈⠻⣧⡨⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣸⣷⡀⢷⣀⣼⠟⢠⡿⠃⠀⢧⠀⠀⡇⢸ ⠀⠀⠀⠀⢹⢿⣾⣮⡻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣧⡈⢿⡏⣰⠟⠀⠀⠀⡟⠀⣰⡇⡼ ⠀⠀⠀⠀⠀⠀⠉⠻⣷⣮⡙⠷⣦⣄⡀⠀⠀⠀⠀⢙⣿⣿⣷⡀⠹⣏⠀⠀⠀⣼⣧⣾⢟⡼⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣦⣙⠛⠿⢶⣶⠶⠟⠛⣿⣿⣻⣦⡈⣙⠒⠛⢋⣠⠶⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠶⣦⣤⣤⣤⠶⠋⠻⠶⣬⣿⡶⠶⠚⠋⠀⠀⠀⠀⠀
⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠂⠀⠀⠀⠀⢀⡀⣀⢀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢴⠶⡄⠀⠀⠀⢠⠋⠀⢸⠁⠈⢇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠾⡿⠁⠀⠀⠀⡎⠀⠀⡇⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⣀⠀⠀⢀⡼⠙⢦⠀⠀⠀⠀⠀⣀⡰⠇⠀⢰⠀⠀⢀⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠈⠓⠒⠙⠀⠀⠀⠑⠤⣀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀ ⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⢠⣆⢀⠀⡀⠷⢦⣖⠆⠀⠙⢶⠄⠀⠀⣴⣀⡀⠀⠀⠀⠀⠸⠀ ⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠘⠛⠛⠁⠈⠙⠃⠀⠀⠀⠀⠀⠀⠀⢙⡖⠂⠈⠓⠛⠂⠀⠀⠀⢀⡇ ⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀ ⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢎⣁⡀⠀⠀⠀⠀⠀⢀⣀⠤⠊⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⡦⠀⠀⠀⠀⠀⠀⢸⠉⠁⠀⠀⢠⠉⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀
⠀⠀⣶⣶⣶⣶⡄⢰⣶⣶⣶⣶⣶⣦⠀⢀⣤⣶⣶⣶⣶⣤⣄⠀⣴⣶⣶⣶⡆⣴⣶⣶⣶⡄⢀⣤⣴⣶⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⢿⣿⣿⣿⠀⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⣾⣿⣿⣿⢿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⡏⠀⠀⢸⣿⣿⣿⣿⣼⠿⠿⠿⠇⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿⣿⣤⡿⠿⠿⠿⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⣷⣶⣶⠀⢿⣿⣿⣿⣿⣷⣤⡀⠀⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⠿⠿⠀⠀⠙⢿⣿⣿⣿⣿⣿⡄⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⠀⠉⠻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⢻⣿⣿⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿⣿⠙⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⢰⣶⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣶⣶⡞⣿⣿⣿⣿⣼⣿⣿⣿⡇⢻⣿⣿⣿⣷⣿⣿⣿⣿⠇⢿⣿⣿⣿⣦⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⡿⠟⠁⢸⣿⣿⣿⣿⣿⣿⠇⠙⠿⣿⣿⣿⣿⡿⠟⠁⠀⠛⢿⣿⣿⣿⣿⡿⠋⠀⠈⠻⢿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣤⣈⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⣾⣦⡉⠛⠻⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣶⣶⣶⣶⡆⠀⣶⣶⣶⣶⣶⢰⣶⣶⣶⣶⡦⠀⣶⣶⣶⣶⡄⠀⣴⣶⣶⣶⡆⠀⠀⣠⣴⣾⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⠇⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣷⠀⣿⣿⣿⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⡇⢰⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⠀⠿⠿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⡆⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⡇⠈⣿⣿⣿⣿⣿⣠⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣇⠀⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⡇⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠉⠉⠉⠁⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠉⠉⠉⠉⠀⠀⠉⠉⠉⠉⠁⠀⠀⠈⠉⠛⠛⠛⠉⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⢀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠉⠁
⠀⠀⠀⠀⣀⡤⢤⣄⠀⣠⡤⣤⡀⠀⠀⠀ ⠀⠀⢀⣴⢫⠞⠛⠾⠺⠟⠛⢦⢻⣆⠀⠀ ⠀⠀⣼⢇⣻⡀⠀⠀⠀⠀⠀⢸⡇⢿⣆⠀ ⠀⢸⣯⢦⣽⣷⣄⡀⠀⢀⣴⣿⣳⣬⣿⠀ ⢠⡞⢩⣿⠋⠙⠳⣽⢾⣯⠛⠙⢹⣯⠘⣷ ⠀⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁ 🅣🅐🅨🅛🅞🅡 🅘🅢 🅛🅘🅕🅔
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠂⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠁⢀⠀⠀⠀⠀⠀⠀⠁⠀⠂⠀⠀⠀⠄⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⠀⢄⡎⠁⠉⢧⡀⠀⢸⠀⠀⠁⠉⠉⠁⠉⡭⠃⠀⡰⠋⢱⡄⠀⠀⣧⠒⠒⡶⠒⠙⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣮⠀⠀⠀⠀⡇⠀⢸⡀⠀⠀⠀⠀⡠⠊⠀⠀⠀⡇⠀⠀⡇⠀⠀⣿⠀⠀⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡟⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀⠀⡴⠃⠀⠀⠀⠀⡇⠀⠀⣇⠀⠀⡏⠀⠀⡇⠀⠀⡇⠀⠁⠀⠀⠀⠀ ⠐⠀⠀⠀⡇⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀⡜⠁⠀⠀⠀⠀⠀⡇⠀⠀⢸⡄⠀⡇⠀⠀⠇⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⢀⡇⠀⠀⡇⠀⢠⣇⣀⣀⣀⡤⠤⠀⠓⠤⣀⠇⠑⣄⠇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 𝒉𝒂𝒚𝒂𝒕𝒊𝒎𝒊𝒏 𝒂𝒔𝒌𝒊 ⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⡰⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⠀⠀⠀⠀⠄
⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⢀⣤⣀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠂⠢⠤⣄⠀⢣⠀⠈⢣⠀⠹⡄⡰⠋⢸⢥⣨⠇⠀⠀⠀⠀⠀⠀⠱⡄⢀⠆⠀⠀⠀⠀⣇⠀⡞⠋⠋⠀⠀⠀⢰⢀⠖⠒⢆⡤⠤⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠲⠞⠀⠀⠀⠉⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⣠⠜⠁⠀⣿⢧⡀⠀⠀⠀⡇⠀⡴⡆⠀⠀⢸⢸⡧⣄⠘⠢⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠈⡉⢳⠀⠙⠦⣀⠀⢯⠈⡇⠀⠀⣠⠞ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠒⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⡖⠛⠀⠀⠂⠀⠀⢰⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣀⠤⠝⠐⡆⠀⠀⠉⢹⠓⠂⢸⠁⠀⢸⣀⢀⡤⢤⠀⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠃⠀⠀⠈⠓⠀⠏⠸⠈⠯⠁⣠⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣄⠀⡔⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠸⠇⠀⡰⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⡴⠊⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠙⠲⣄⠴⠉⠑⢦⠀⡄⠀⢀⣤⠀⡀⠀⡖⣠⠤⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⠈⠇⠀⠀⠀⢻⠸⠖⢊⣇⡽⠘⣾⠃⢸⡤⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡷⣄⣀⣀⣀⣀⣀⡼⠋⠀⠀⠀⠀⠀⠀⠈⠀⠀⣧⠄ Love <3
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢤⣐⢒⠞⢊⣑⠶⢒⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠤⡖⡉⡝⠉⡶⡛⢹⡶⢄⢀⠀⠀⠀⠀⠀⢀⠤⡺⠍⠰⣓⣀⣋⣀⠲⠃⠠⣑⠜⡁⢕⢑⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⣺⠅⠜⠀⡌⠠⣜⡑⡲⢉⡢⢏⡨⣦⣦⣄⣠⠎⡯⠀⢃⣀⠇⠀⡌⠀⠰⢁⡁⡒⠅⡑⢠⡑⢎⢉⢄⢀⠀⠀⠀⠀ ⠀⠀⠀⣼⣃⡼⠀⠇⢸⠣⠼⠀⡘⠣⣜⠘⠄⣠⢠⡿⣟⡼⢀⠤⢸⠀⢸⢀⢠⠀⣀⡇⠀⠸⠣⠄⡠⢇⠘⡄⢀⣣⠤⠧⠀⠀⠀ ⠀⢀⢺⢊⠄⡖⢸⣀⣶⢤⠧⠴⣉⡒⢠⡎⡒⠡⢓⣩⢅⣯⡰⡒⢞⡳⢚⠄⣸⣀⢰⠀⢨⠓⠢⡐⠑⢄⡡⡔⢋⠡⠁⠣⠡⠀⠀ ⠀⣾⢽⣸⠐⢖⢟⢋⢋⡕⡱⢚⠔⡭⠂⢴⢉⡋⠷⠾⠿⠿⠯⣙⠭⣖⠄⠉⠈⠢⡄⠀⠙⠂⢰⡀⠱⠎⠣⠈⣄⠧⠱⠳⢋⢣⠀ ⢰⣿⢺⣸⣎⣣⣡⢡⣂⣌⡘⢡⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢓⡂⠠⣄⠈⠃⡌⠖⢡⠐⡀⡄⡆⡌⣀⡀ ⣼⡟⢹⣾⣦⣶⣾⡿⡻⢟⢿⣧⣤⣤⡴⡾⣻⠿⡿⡽⣳⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⡀⠇⢸⠒⠤⠰⠀⡔⠗⢩⢹⢡⡆⠃ ⣿⡷⣹⣿⣏⢯⢳⡫⣛⣿⣿⡿⠿⣍⣍⡌⡵⡫⢖⣹⡣⡾⢟⢷⡄⠀⠀⠀⠀⠀⠀⠀⢰⢸⠈⠚⠀⡄⣀⣀⣇⣘⣐⣸⢸⡆⠅ ⢻⣵⣿⣷⡞⢧⣕⣫⠽⣭⡛⡭⢧⢳⠰⠸⢡⣺⡩⢖⣞⣑⣯⣹⢿⠀⠀⠀⠀⠀⠀⠀⢸⠚⠠⣀⡀⠇⠘⠀⠇⡎⠸⢸⡈⠇⡇ ⠘⣿⣿⣿⣯⡏⣳⡫⣽⢙⣂⣯⢹⠼⠬⠩⣐⡖⡯⠭⢬⡧⢸⢷⢾⠀⠀⠀⠀⠀⠀⠀⠈⣄⣀⠇⠨⠁⡔⢒⠒⠇⡇⡆⢧⢒⠀ ⠀⢻⣿⣿⣿⣇⣾⡭⢽⠅⢖⣿⠸⠨⡄⣇⣓⢣⢩⡸⣎⣱⣎⣽⡿⠀⠀⠀⠀⠀⠀⢀⡣⠁⠈⠐⠦⢤⢁⡆⡐⢠⢀⠠⡜⡜⠀ ⠀⠈⢿⣿⣿⣿⣶⣿⠍⣿⠅⣗⣸⢬⣿⢐⠮⢧⣑⣑⢖⣳⣾⠿⠁⠀⠀⠀⠀⠀⢠⢂⠌⠰⠣⡘⢀⠆⡐⢀⢉⠋⠋⠳⠸⠀⠀ ⠀⠀⠈⢿⣟⣿⣿⣿⡿⣍⢿⣁⢿⡾⡞⡲⢙⣗⠲⣬⣿⡿⠋⠀⠀⠀⠀⠀⠀⣰⠉⠍⢢⢃⡐⢁⠎⡐⢡⠣⠦⢎⣊⡡⠁⠀⠀ ⠀⠀⠀⠈⢿⣯⣿⣿⣿⣿⣯⣛⢞⣞⢪⣗⣷⣽⣿⠿⠋⠀⠀⠀⠀⠀⠀⡠⢮⢉⠝⢤⠁⠔⢡⠂⠌⣠⠁⢂⠊⡢⡁⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣪⡿⣿⣿⣯⣻⣳⣳⣾⣿⢟⠅⠀⠀⠀⠀⠀⠀⣠⡪⠎⡠⢣⡔⢡⠙⡰⣁⢊⠔⡀⡉⡙⢗⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣯⣺⠻⣿⣿⣿⣿⡯⡦⡒⡙⣕⢄⠀⢀⡤⡞⠙⠤⠚⡄⢀⠔⢡⢊⠔⡁⠩⠢⠪⣦⠗⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣕⣫⡫⢽⢷⣮⣮⡺⡫⣢⠵⡏⢸⡠⢗⢁⢖⢁⠜⢡⢈⠔⡩⠪⢄⣔⣠⡖⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢽⣾⡸⡆⣎⠟⠯⠻⠽⠨⡐⠏⢀⠤⠚⡠⠘⣤⢊⠔⡣⢎⢀⠕⣥⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⣯⢢⣬⠐⠒⢠⡔⡗⢹⠀⡗⠈⣦⠈⡜⢠⢪⠀⢰⣭⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣝⡮⣖⡆⡦⠇⢳⠘⡁⠴⢊⠜⡪⢀⢕⢗⣦⠷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣶⠽⣐⢚⢈⡁⢧⢊⢦⡨⠪⣲⣵⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⣃⢣⣳⠩⢶⣁⣿⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⠮⠗⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠴⠶⢤⡞⢡⡚⣦⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣃⠀⠀⠈⠁⠀⠉⠁⢺⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢯⣄⡀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⠤⣤⣤⠞⠀⠀⢀⣴⠒⢦⣴⣖⢲⡀⠀⠀⠀⠀⣠⣴⠾⠿⠷⣶⣄⠀⣀⣠⣤⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠈⠳⠼⣰⠃⠀⠀⠀⣼⡟⠁⠀⣀⣀⠀⠙⢿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠉⠉⠛⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⣦⣄⣠⣶⣿⣛⠛⠿⣾⣿⠀⢠⣾⠋⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⡶⠿⠟⠛⠛⠛⠛⠛⠛⠿⢷⣾⣿⣷⡀⠻⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⢷⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣶⣶⣤⡀⠀⠀⠀⠀⢀⣤⡶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⠙⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⢷⡄⠸⣯⣀⣼⡷⠒⢉⣉⡙⢢⡀⠀⠀⠀⠀⠀⢸⣿⡀⢸⣿ ⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢄⡾⠐⠒⢆⠀⠀⣿⡇⠀⢸⡇⠀⠈⢉⡟⠀⠀⠀⢹⡟⠃⢧⣴⠶⢶⡄⠀⠀⣿⣇⣼⡟ ⠀⠀⣠⣴⡶⠶⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⢃⡾⠁⠀⠀⢸⠃⠀⣿⡇⠀⣸⡇⠀⠀⣼⠀⠀⠀⢠⡾⠁⠀⢸⣿⣤⣼⠗⠀⠀⣿⣿⠛⠀ ⢀⣾⠟⠁⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⢿⠇⡼⠁⠀⠀⢀⡜⠀⢀⣿⠃⠀⠉⠀⠀⠀⢧⠀⠠⡶⣿⠁⠀⢠⠇⠀⠉⠁⠀⠀⠀⣿⡏⠀⠀ ⢸⣿⠀⢠⡞⠉⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⢿⣠⣷⡄⠀⠁⠳⠤⠖⠋⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠘⣄⡀⠀⠛⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀ ⢸⣿⡀⠈⠻⣦⣼⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⡶⠶⠆⠀⢠⣤⡾⠋⠀⣿⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡅⠀⠀ ⠀⠻⣿⣦⣄⣀⣰⡀⠀⠀⠀⠀⠀⠀⣸⠯⢄⡀⠀⠀⠀⢸⣇⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀ ⠀⠀⠀⠉⠙⠛⣿⣇⠀⠀⠀⠀⢀⠎⠀⠀⠀⠈⣆⠀⠀⠀⠻⣦⣄⣴⠟⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣆⠀⠀⠀⠘⡄⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠉⠀⠀⢀⣀⣤⣴⣾⣿⣧⣄⠀⢀⣠⣴⣶⣶⣶⣤⡶⠋⠉⠀⠀⢀⣀⣀⣠⣤⣶⣾⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⠈⠒⠤⠔⠋⠀⠀⠀⠀⠀⠀⣠⣴⡾⠟⠋⠉⠀⠀⠀⠛⣹⣷⣿⠟⠒⠀⠀⠀⠉⢻⣷⣶⣾⠿⠿⠿⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣄⣀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣶⣶⣤⣤⣶⡦⠀⠁⠀⠀⠀⠀⠀⣀⣀⣀⣤⣴⡾⠟⠁⠙⠿⣷⣶⣤⣴⣾⠿⠛⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣽⡿⠁⠀⣤⣤⣶⡶⠾⠿⠟⢻⠛⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠙⣿⡆⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⢸⣟⡁⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⡏⠀⠀⠀⠸⣿⣤⣶⣀⣤⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣄⣀⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⣿⡇⠀⠀⠀⠀⣾⣿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣍⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⡇⠀⠀⠀⠀⠉⣿⣆⠀⠀⠀⠀⠀⠀⠀⢴⣶⣶⠆⠀⠀⠀⠀⠀⠀⣈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠀⠀⠀⠀⠀⠀⣸⣿⡄⠀⠀⠀⠀⠀⠀⢸⣟⢿⣿⣦⠀⠀⢠⣄⣠⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣥⣤⣶⣀⣠⣶⣴⡿⢻⣷⣄⣴⣆⣀⣆⣠⣿⡇⠈⠻⣿⣵⣶⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢉⡉⠉⠉⠉⠉⠀⠀⠈⠉⢉⣉⣉⡉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣠⠴⠚⡙⠙⠲⣤⣠⠖⢋⡛⠙⠲⣄⠀⠀ ⣴⠃⣰⠟⠉⠙⢦⡈⢁⣾⡟⠉⠳⣆⠸⣇⠀ ⣿⠀⣿⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⡿⠄⣿⠄ ⠸⡄⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣰⡏⠀ ⠀⠙⣆⠙⢧⡀⠀⠀⠀⠀⢀⡴⠃⣰⠏⠀⠀ ⠀⠀⠈⠳⣄⠙⠶⣄⣀⠴⠋⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⠓⢦⡈⢡⣰⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⣀⣉⣩⣽⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠸⣿⣿⣿⣿⣿ ⣿⣿⣿⡟⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠙⣿⣿⣿⣿ ⣿⣿⣿⣷⠊⠁⠀⠀⠀⠀⣹⣿⠿⠟⠛⠛⠛⠛⠛⠛⠿⢿⣿⠟⠁⠀⣿⣿⣿⣿ ⣿⣿⣿⣇⣠⣾⣷⣄⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠄⠘⣷⣼⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⣀⣀⣀⣀⣠⣤⣴⠾⠛⠁⠀⢠⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠙⠿⣯⣉⠉⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⢀⣀⣠⣼⡝⠛⠷⢶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⠉⢀⣴⣶⣿⣿⣿⣿⣿⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⣿⣿⣿⠏⠀⣰⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿ ⣿⣧⣄⣈⣁⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠻⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⠹⣽⣿⣯⣿⢟⡽⣿⡟⣫⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣅⣻⣷⡶⠷⠟⠛⠻⠿⢿⣿⣟⣮⣿⣿⣿⣿⣿⣿⣿⢶⡝⣭⣻⢿⣆⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠟⢹⣯⣹⣽⣿⣿⣿⣿⣾⣿⡛⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠯⢿⣙⣯⣿⣿⣿⣿⣟⣾⡬⢣⣾⣳⣌⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣶⣟⣿⣵⣶⣾⣿⣿⣿⣿⣷⣿⣿⣿⣛⣽⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⣿⣻⣾⢷⣳⡭⣟⣷⣶⣉⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⣠⣿⣟⣿⣿⢿⣿⣟⣟⣻⣭⣿⣿⣿⣿⡻⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢾⣿⣿⣻⣵⣫⢿⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣯⢟⣩⢙⡠⢹⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣷⣟⡶⣫⣿⣯⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⠿⣟⣛⣧⣬⢿⠋⣹⣿⣿⣿⡿⣹⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⣿⣟⣾⣵⢯⡹⣂⢹⣷⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠏⢰⣼⣾⣿⣿⣷⣾⣯⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣿⣿⣯⢏⢖⣂⣶⣿⣿⣿⣶⣌⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣴⣿⣿⣿⠟⡉⣽⡿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣽⣿⣟⣿⣿⣿⣿⣿⣿⣿⡻⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣹⠟⡫⢖⣐⣾⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⡛⣿⢿⣾⣝⣾⣵⣾⣿⣾⣷⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⢡⣞⡿⡟⣥⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣯⣟⠟⣿⣿⣿⣿⡞⢿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣇⣶⢞⣻⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⣿⣿⣿⣿⣷⣶⣿⡇⢧⣾⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠟⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣯⣿⣿⣿⣿⣷⣿⣯⣿⣿⡟⡛⠛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢻⣿⣿⣿⣿⣿⣿⣿⣫⢷⣛⡆⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣻⣷⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠤⢤⡀⠀⠀⣀⡤⠤⢤⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣄⣀⡾⣁⣠⢠⡔⣝⣦⣼⣁⣄⣠⢂⡈⢧ ⠀⠀⠀⠀⠀⠀⣤⣶⡞⣿⣯⠛⠛⠛⠚⢻⣷⢻⣼⣯⣿⣽⣾⣯⡟⣾⢳⣯⡗⢻ ⠀⠀⠀⣠⠶⠟⠋⠈⠁⠀⠀⠀⠀⠀⠀⠀⢿⣯⣟⣾⣳⣯⣷⣻⣽⢯⣿⣽⣻⡏ ⠀⡠⠊⣁⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⣀⣠⣬⣿⣾⣿⣷⣻⣾⡽⣯⣿⣞⣷⡟⠀ ⠀⣠⡾⠋⠁⠀⠀⠉⠻⣦⡀⠀⣠⡞⠋⠁⠀⠀⠉⠻⣿⣿⣾⡽⣷⣻⡾⠋⠀⠀ ⢰⡟⣤⢒⡴⣊⡶⣓⣦⣬⣻⣾⣫⣔⡲⣆⢶⡰⣄⣆⠘⣿⣿⣽⡿⠋⠀⠀⠀⢠ ⢸⣟⡼⣯⢿⣽⣻⡽⣞⡷⣯⣟⡷⣯⢷⣯⢷⣻⢾⣼⣣⣿⠻⠋⠀⠀⠀⠀⣠⡞ ⢸⣟⣷⣻⢾⡽⣯⡷⣟⣷⢯⣿⣳⣟⡾⣽⢾⣻⡾⣽⢯⡿⠀⠀⠀⠀⣠⡴⣟⡇ ⠀⢻⣷⣻⣯⢿⣳⣿⣻⢾⣟⡷⣟⣾⣟⣯⣿⣳⡿⣯⣿⣃⣤⡴⣶⣟⣯⢿⡝⠀ ⠀⠀⢻⣷⣻⢿⣽⣞⣯⣿⢾⣻⣯⣷⢯⣷⣟⡷⣿⣽⣾⣿⢿⣽⣳⢟⡾⠋⠀⠀ ⠀⠀⠀⠙⢯⣿⣞⣯⣷⣟⣯⣷⣟⡾⣟⣷⣯⢿⣷⣿⡿⣯⣟⠾⠙⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣾⣻⢾⣽⣾⣳⣟⡿⣯⣷⡻⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣟⣧⣟⡿⣼⡿⣧⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣞⣿⢯⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ Ur never for from my heart
⠀⣠⣤⣶⣶⣦⣄⡀⠀⢀⣤⣴⣶⣶⣤⣀⠀ ⣼⣿⣿⣿⣿⣿⣿⣷⣤⣾⣿⣿⣿⣿⣿⣿⣧ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀ ⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠈⠉⠀⠀⠀⠀⠀⠀⠀⠑⠀⠁⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡒⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⢹⢐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠠⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⡦⣰⡤⡌⠀⡂⠁⠂⠈⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢀⠃⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣵⠧⡽⡄⡿⠑⣷⡌⠀⠐⠀⠀⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠅⠀⠎⠃⠀⠀⠀⠀⠀⠀⠀⠀⡥⠠⡧⠣⠪⢽⢇⣾⡦⠈⠀⡀⠂⡇⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢤⠢⣁⠁⢠⠂⠒⢆⠀⠀⠀⠀⠀⢂⢇⡗⠞⣩⢋⠏⠀⠂⠁⠀⡀⠵⡵⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠄⠁⠀⠀⠀⠀⢹⠀⠀⠀⠀⠁⠩⠃⠈⠓⡁⠀⠤⠀⠀⠁⡠⠌⠉⡆⢀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⡥⡤⠄⠄⠤⠄⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠩⠄⠀⠀⠂⡣⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢃⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠈⠀⠍⢁⠝⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠃⠀⠅⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡈⠄⠂⠈⠀⠀⠈⡀⠦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠀⠸⡀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡂⠄⠀⠀⢹⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⡉⠌⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡩⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⡁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠄⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠏⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓⠀⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠨⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠌⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠥⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢑⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠌⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠨⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡎⡜⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⢠⡀
⠀⠀⠀⠀⠀⠀⠤⣗⡢⢇⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣈⡝⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢋⢥⠛⠽⠵⠦⠇⠇⠚⠥⠦⠆⠍⠓⠐⠃⠀⡃⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠎⠕⠈⠁⠻⡉⢀⠶⠐⠒⠲⣄⠀⠀⠀⡀⠀⠀⠀⢠⠇⠀⠀⠀ ⠀⠀⠀⡭⠛⠊⠓⢻⢾⡏⠀⠀⠀⠀⣼⡀⠀⢱⢁⠀⠉⠰⢵⣴⣝⠋⠀⠀⣰⣇ ⠀⠀⠀⠀⠀⠀⠔⡌⠀⠀⠀⠀⠀⠀⠉⠁⢀⢠⡛⠀⠀⠀⠀⠀⠈⠈⢻⡁⣾⠁ Doodle of a Kiwi Bird :) ⠀⠀⠀⠀⠀⠀⡦⢅⡴⡞⠀⠀⠀⠀⠀⣀⡤⠋⠀⠄⠀⠀⢠⠀⠀⠀⡠⠚⠀⠀ ⠀⠀⠀⠀⠀⡞⣯⡿⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠖⠤⣶⡎⡁⡀⣠⡆ ⠀⠀⠀⠀⠀⠰⠇⠂⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠑⠉⡘⠅⠀ ⠀⠀⠀⠀⢀⠳⡈⠀⢠⡨⠟⡆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⡤⡔⠃⠁⠀⠀ ⠀⠀⠀⠀⠈⣬⠁⢐⡋⠁⢁⡩⣨⡂⠀⠀⠀⠀⠀⠀⠀⠀⢤⣽⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡭⣀⠫⠀⠀⠠⢰⢌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡯⠓⣔⠀⠀⠀⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠈⢀⣤⠎⢕⣩⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢥⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠓⠈⠀⢀⡃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣆⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠯⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠱⡹⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⠤⠤⠤⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⢰⠃⠀⠄⠀⠀⠀⠀⠀⡠⠆⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠙⡆⠀⠀⠀⠀⢣ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠃⣖⡲⣤⣞⣉⡇⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠓⢦⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇ ⠀⠀⠀⠀⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣉⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡖⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⣀⡤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠤⠒⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣴⣦⣴⣦⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠻⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠋⠉⠉⠉⠉⠙⠛⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣦⣠⣾⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢀⣀⣤⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⣼⣿⡟⠛⠉⠁⠀⠀⠈⠉⠛⠿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⢏⣶⣿⣿⣿⠿⠋⠉⠀⠀⠀⠀⠀⠙⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⣤⣤⣦⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣀⡀⠀⠀⠈⠻⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠛⣱⣾⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⡄⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠿⢿⣿⣿⣿⣷⣦⣄⡀⠈⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡟⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⢀⣀⣀⣤⣿⣿⣧⣤⣤⣤⣄⣠⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣷⠀⠀ ⠀⠀⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣿⣿⣿⣶⣼⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⠀⠀⠀⠀⠀⣠⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡆⠀ ⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⡇⠀⠀⢀⣠⣶⣿⣿⣿⣿⡿⠟⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠀ ⠀⣸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣷⣀⣶⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡀ ⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇ ⠀⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢀⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣧⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇ ⠀⣿⣿⣿⣿⣿⣧⣀⣀⠀⣠⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⣄⠀⠀⢀⣴⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇ ⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣤⣴⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇ ⠀⣿⣿⣿⣿⣿⣯⠀⠀⠀⠉⠙⠻⢿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⡇ ⠀⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡄⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠀ ⠀⢸⣿⣿⣿⣿⣿⡇⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣄⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⠀ ⠀⠘⣿⣿⣿⣿⣿⣷⠉⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⡀⠀⠀⠀⠈⢻⣿⣿⣷⡀⠀⠀⢠⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡄⠀⠀⣸⣿⣿⣿⣿⣿⡏⠀ ⠀⠀⢹⣿⣿⣿⣿⣿⡆⠀⠀⢈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠟⠋⠉⠉⠀⡠⠀⠀⠀⠀⢻⣿⣿⣧⠀⠀⠈⠻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡄⢠⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠘⣿⣿⣿⣿⣿⣿⡄⠀⡏⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣸⣿⣿⠋⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠈⣿⣿⣿⡀⠀⠀⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣾⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⣿⣿⣷⡀⠐⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⡿⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⣹⣿⣿⡁⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⣀⣤⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⡜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠙⡀⠀⠀⠀⠀⢀⣿⣿⡏⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⠋⠀⢀⡀⠘⠙⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⡿⠿⠿⣿⠷⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⡿⠿⠛⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⣾⣿⣿⠁⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠈⠋⠉⠀⡠⠖⠉⠀⠀⣤⣄⡀⠀⠀⠀⠈⢣⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣷⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⡿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⣶⣶⣾⡿⠟⠁⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⣰⠞⠁⠀⠀⠀⠀⠘⣿⣿⣷⣤⡀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡏⠀⠁⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⣠⣿⡿⠛⠿⠿⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠒⠊⠁⠈⠁⠉⠑⠦⢄⡀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡟⠠⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⢀⣴⣿⠏⠀⠀⠀⠀⠀⠀⢠⠇⠀⢀⣤⣶⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠟⠀⠀⠀⠀⠀⠀⢀⣼⣿⠃⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⣀⣠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⡟⠀⢀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠘⢿⣷⣄⠀⠐⠀⠀⠀⢀⣾⡿⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠸⡿⠋⠀⠀⠀⠀⠀⢀⡿⠀⠀⣴⣾⡿⠿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠘⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠈⠻⣿⣿⣦⣤⣤⣴⣿⡿⠃⠀⠀⠀⠀⠀⢀⣼⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠈⠉⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠟⠋⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠻⡿⠃⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣡⣿⣿⣿⣿⣦⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⢤⣀⡀⠀⠀⠀⢀⣀⡠⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣴⣶⣾⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠁⠒⠀⠀⠤⠤⠒⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣤⣄⣠⣀⣄⣠⣤⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠄⠀⠁⠈⠉⠁⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡷⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣾⣿⡇⢠⠠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢣⣿⣿⠀⣨⣾⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⡀⠀⣠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⣸⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⠀⣿⡇⢰⣾⣿⣿⠆⠀⣀⣤⣴⡿⢀⠛⣋⣽⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣻⣿⣤⣿⡇⢨⣿⣛⣿⡷⠘⠿⢷⣦⣴⠘⣿⣄⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠋⠙⠉⠀⠈⠉⠉⠀⠀⠀⠀⠈⠙⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⢀⡀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⠀⠀⠀⠀⠀⣠⠤⣄⡄⠀⠀⠀⠀⠀⡚⠓⠋⠀⡀⠀⠀⡼⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⡎⠀⠀⠀⡏⡆⠀⡾⠁⠼⠚⠛⠉⠀⠀⠀⠀⡇⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠙⢆⣀⡼⠀⠳⡎⠀⠀⣇⣤⣶⠴⠀⠀⠀⠀⠘⠚⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣠⠖⠚⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠤⠀⠠⡞⠀⠉⢯⠀⠀⢹⣀⣤⠆⠛ ⠀⠀⠀⠀⢸⠏⠳⡀⢀⠄⠀⠀⠀⠀⣠⣀⠀⠀⠯⡴⡞⠀⠀⠀⢸⢀⣀⠀⡟⠁⣀⠴⠂ ⠀⠀⠀⠀⢸⡀⠀⡇⠎⠉⠑⠒⣄⠏⠁⠉⠑⡜⡿⠂⠒⠂⢖⡏⠃⠀⠐⠛⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⢸⠉⠉⠸⡀⠀⠀⠀⡞⠈⠦⠴⠊⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠉⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠛⡆⠀⠀⠀⢠⠇⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⢸⡄⠀⠀⢸⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⠀⠸⠤⠔⠊⠀⠠⠤⣣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠛⣫⠥⣤⡤⠀⠀⣀⣀⠀⠀⠀⠀⣤⡄⣤⡺⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣗⣂⠀⠉⠀⠀⢈⣏⠁⠀⠀⠀⠈⠃⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠳⠤⣄⣈⣁⣈⣁⣀⡤⠖⠒⠉⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣷⡀⠀⠀⢀⣸⡿⠁⢿⡀⠀⠀⠀⠀⠀⠀⢠⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠘⣧⠀⢠⣾⠿⠀⠀⠈⢷⡀⠀⠀⠀⣀⣴⡾⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠸⣤⡾⠁⠀⠀⠀⠀⠸⡇⠀⣠⣾⠟⠉⢠⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠶⣦⣄⡀⠀⠀⠀⢀⡟⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⢹⡾⠋⠁⠀⠀⢸⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠉⠻⣧⡄⠀⢸⠁⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠒⠸⣆⠀⠀⠀⠀⣼⠀ ⠀⠀⠀⠀⢠⣄⣀⣀⣀⣀⡏⠀⠀⠀⠀⠈⠻⣆⠘⡆⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⢠⡇⠀ ⠀⠀⠀⠀⠸⡏⠉⠉⠙⠛⠻⠿⣷⣦⣀⠀⠀⠙⡄⢿⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⡾⠀⠀ ⣦⣄⣀⡀⠀⢳⠀⠀⠀⠀⠀⠒⠀⠙⠻⣷⡄⠐⢧⠈⢷⡠⠀⢻⠄⠀⠀⠀⠂⠁⠉⣱⡏⠀⠀⣀⡞⠁⠀⠀ ⢻⠙⠛⠻⠷⠾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⢸⡇⠈⢿⣦⡈⣧⡀⠀⠀⠀⢀⣴⠏⠀⢀⣴⠟⠀⠀⠀⠀ ⠈⣷⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡏⠁⠀⠀⠙⠻⣾⣷⣤⣤⣶⣛⣥⣴⡾⠟⠁⠀⠀⠀⠀⠀ ⠀⠘⣧⡀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⢸⡏⠉⠉⠉⠉⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣄⡀⠀⠀⠈⠻⠿⣷⣦⣤⣤⣶⠿⣦⡀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠿⣶⣤⣄⣀⣀⣤⣤⡿⠟⠁⠀⠈⠙⢦⡀⠀⠀⠀⣸⠁⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⣧⠀⠀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⡇⠀⣼⠋⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠈⢷⡇⢰⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⡛⠛⠿⢦⣄⡀⠀⠀⠈⣧⡏⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠉⠻⣦⡀⠀⢻⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠈⢳⡄⠸⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⢀⠀⠹⣦⢳⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣀⠈⢿⣧⡀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠷⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⡟⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⡞⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠁⠑⡄⠀⠀⠀ ⠀⢰⠃⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⢀⡤⢄⣀⣀⠀⠀⠀⠀⠄⠂⠀⠀⠀⠈⢆⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⢀⠔⠈⠀⠀⠀⠀⠀⠈⠉⠦⠆⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠓⠨⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏ ⠀⢧⠀⠀⠀⠀⠀⠀⢀⡔⡶⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⠠⢪⣛⡍⢆⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⣇⠀⠀⠀⠀⡔⣋⢻⢷⠐⠦⠔⢝⣆⠀⠀⠀⠀⡥⠚⡟⠹⢪⢯⣦⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⢸⠀⠀⠀⣎⠑⠓⠮⠌⠍⡈⡁⡪⠸⣆⠀⠀⢉⡮⢺⣨⡱⣪⡯⡃⡇⠀⢈⡏⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⡗⢧⠯⡁⡎⣐⢀⢂⢂⠇⣿⠀⠀⢐⢥⠯⡪⠭⢯⠁⣵⡇⠀⣞⠇⠀⠀⠀ ⠀⠀⠀⢇⠀⠀⢸⠀⠙⠓⠶⣈⣋⡠⠔⠋⡞⠀⠀⢘⠀⠀⠙⠉⠉⠉⢠⠃⠀⡞⠁⠀⠀⠀ ⠀⠀⠀⠈⠇⠀⡖⠓⢄⠀⠀⠀⣀⣠⠞⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⡠⠃⠀⠂⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠔⠀⡰⠂⠀⡉⠉⣀⡀⠀⠀⠀⠀⠀⠀⠀⡈⡗⣒⠋⠁⡀⠰⡀⠐⡄⠀⠀⠀ ⠀⠀⠀⠀⡴⠀⠠⠃⠀⢰⠉⠠⣛⠈⠁⠀⠀⠀⠀⠀⠈⠙⣘⡵⠱⠀⠨⠀⠈⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠌⠀⠀⠌⠀⠀⠀⠈⠙⡄⠀⢀⡜⠉⠉⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡜⠀⠀⠂⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢀⣴⣶⣶⣶⣶⣄⠀⣀⣴⣶⣶⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣿⣿⣀⣀⡀⠀⠀⠀⠀⠀⠀⠈⠻⢿⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⠆⠠⣿⡿⣿⣿⣿⢿⣿⣦⣴⣿⡿⠿⢿⣿⣷⣄⠀⢾⣿⣿⣿⣿⡿⣿⠆⢸⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⠀⠀⠀⠀⣠⣿⡿⠁⠀⣰⣿⡿⠁⠀⠀⠀⠈⠻⣿⣧⡀⠀⠘⣿⡟⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⡀⠀⢰⣿⡿⠁⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⢻⣿⣇⠀⠀⣿⡇⠀⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣴⣿⡟⠀⠀⠀⢰⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡏⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⣿⣧⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣿⣿⣇⣀⡀⠀⠀⠀⠘⢿⣿⣦⣀⠀⢀⣠⣾⣿⠏⠀⠀⠀⢿⣿⣦⡀⠀⠀⣀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣾⣿⣟⢾⡶⣯⡽⣯⣴⠖⡄⡠⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⡤⢤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⣾⣿⣳⣾⢶⡭⣯⢿⣭⣷⣻⢿⣾⣾⣵⣤⣁⠀⠀⠀⢀⣴⣮⣿⣽⣷⣿⣽⣿⣿⣾⣽⣧⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⡼⣽⣳⣫⣼⣷⡟⣿⣚⣭⠳⣝⢫⠓⠏⠟⣟⣫⣷⣤⣰⣿⣿⣿⣿⣿⢾⣷⣿⣿⣿⣽⣧⡿⣼⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣸⣯⣷⣷⣷⣯⣷⣷⣻⣷⠻⢜⠋⠔⠂⠀⠀⠀⠈⠀⠙⣾⣺⣟⣿⣿⣿⣿⣿⡿⠿⠿⠿⣿⣿⣿⣳⣼⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⣵⢯⣿⣾⣿⣿⣿⡿⠏⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢻⣿⣿⡿⠿⠙⠀⠀⠀⠀⠀⠀⠀⠓⢍⣻⣿⣽⠀⠀⠀⠀⠀⠀ ⠀⠀⣽⣽⣾⣻⣟⣿⣿⣻⠖⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡱⠐⠀⠀⠀⣀⣤⣴⣾⠟⠛⠃⠀⠘⣿⠂⡀⠀⠀⠀⠀ ⠀⣸⣿⡟⣟⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠊⠰⠶⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⣿⢓⣤⣄⣤⣒⢿⣿⣻⡴⣚⡭⡷⠞⠀⠘⢅⠛⡄⠀⠀⠀ ⠀⣿⢹⠙⢾⡙⠻⣿⠁⠀⠀⠀⠀⠀⢠⣒⣒⠢⢤⠱⠘⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠈⢾⣿⢿⣿⡿⠂⠀⠀⠀⠘⣭⢦⠀⠀⠀ ⠀⣾⠁⢿⠿⡇⠈⠁⠀⠀⠀⠀⠀⠀⠀⢹⢿⡿⢳⡽⡀⠀⠀⠀⠀⢀⡀⢰⣿⣿⣟⣿⣿⣧⠀⠐⠄⢀⠀⠀⠀⠀⠀⠀⠀⠃⢀⠀⠀⠀ ⠀⣿⣆⡌⠑⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠩⠁⠀⠀⠀⡴⣊⠜⠴⣾⣿⣿⣿⣿⡟⡬⠀⠀⠠⣀⡢⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⣿⣿⣄⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣟⢤⣛⠟⡿⢻⢀⠸⣇⣤⣀⣼⣿⠇⢤⣤⣄⠀⠀⠄⠀⠀⠀⠀⠀ ⣠⣽⣿⣿⣧⡟⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢹⡻⡼⠇⢻⢏⡔⣣⢌⢢⢿⣿⠿⡝⢉⣒⡵⠿⢉⠂⠄⡀⢀⠀⠀⠀⠀ ⣻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢰⠤⡄⠀⠐⠑⠇⠀⠀⡱⢾⡱⢮⣿⣿⣏⡷⠾⢛⣡⡆⠄⠢⠌⡒⡠⠏⠒⠈⠓⠀ ⢾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⣤⣀⡀⡀⠀⡐⠊⠁⠀⠀⠀⠡⠈⠉⠻⣟⠾⣽⣫⡽⢷⠿⠛⠈⢀⣰⣾⠂⠀⢀⠄⠀⠀⠀ ⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡓⠭⣷⡀⠀⡀⠀⠀⠀⡰⠀⠀⠀⠙⠽⣳⢯⣟⣧⣮⣵⣾⣿⠿⡅⠀⠀⠀⠥⠄⡀⠀ ⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⢈⠠⠈⠀⡊⠀⢀⠀⡀⠅⡁⠀⠀⠀⠈⠀⠀⢻⣿⡿⣿⡻⣜⢣⠜⣀⠀⠀⠐⡰⠀⠂ ⣿⣿⣿⣿⣟⢂⠄⠀⠀⠀⢈⢦⡡⢤⡀⠀⠀⠀⠀⡠⢮⢣⠊⠈⠙⠦⠄⠪⣊⠀⠢⠀⢄⠠⠀⠀⠙⠻⢷⡹⢜⠢⡉⠤⢀⠀⠀⠀⣇⠀ ⣿⣿⣿⣿⣷⡠⡀⠀⠀⠀⡌⢶⡹⢗⣻⣿⢶⡙⠹⢇⠚⣐⠀⠀⠀⠀⠀⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠌⢂⠁⠂⠄⠠⠀⠀⠘⡀ ⣿⣿⣿⡿⣷⠷⠅⠀⠀⡐⡘⢢⣙⡾⢏⡘⡒⣠⣤⠀⠀⡆⢁⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠨⡀⠂⠄⡀⠀⠀⠀ ⣿⣿⣿⣽⡿⡖⠁⠀⠀⠀⠀⠠⣞⡆⣿⣿⣦⠉⢿⠉⠒⠈⠐⣃⣢⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡟⠪⡋⠁⠀⠀⠀⠀⠀⡨⡫⢻⠻⡟⠙⣇⢾⠇⠈⠘⠑⢎⢠⠉⠖⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠂⠉⠀⠀⠀⠀⠈⠀⠀⠀ ⣿⣿⡟⠬⡍⢷⠄⠀⠀⢠⣲⡞⣀⡏⣠⠬⡳⠿⢈⣬⡈⣄⠈⣔⣍⡏⢲⡋⠸⠰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⢱⡂⠰⢴⡕⠀⣠⣵⣶⢠⡀⡁⢐⣳⡕⢂⡌⢨⣎⡲⠀⠢⡲⢷⢭⣀⡪⡤⣢⠀⠁⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣟⠙⢳⠎⣱⣱⡎⢱⡊⢁⠨⣁⡠⣟⠫⠷⣖⠖⣼⢳⢮⠦⠷⡸⡶⡯⢉⡟⠀⡀⢀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠚⡔⠈⢧⡀⢠⡣⢀⠈⢑⠥⠞⠀⢈⣚⢩⣁⡐⣲⢼⠑⠣⠼⡍⡏⠀⠈⠲⣠⠦⡏⡀⡥⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠢⣇⡒⡤⣆⡹⢟⡌⢠⢟⣅⠄⢉⠠⠈⠀⡟⢶⠉⠁⠄⡤⢀⣿⣉⡠⠀⠰⢒⠁⠹⢃⠁⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡈⠈⣎⠙⠲⡟⠦⠤⠀⣌⡾⣋⣺⢋⢹⢯⠈⠈⠀⡏⠃⡵⡎⠀⡟⣠⠈⢰⡌⠍⠄⡺⠈⠀⠡⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣫⣤⠦⠏⣟⡁⢚⠤⣘⠾⡭⣬⠖⡳⣆⠻⢾⢄⡀⢚⠥⡈⠡⣏⡙⠵⢃⣡⡓⣢⡡⣢⠛⠄⣇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡋⣹⡱⡄⣐⢉⠽⠇⠘⢋⣴⠀⠀⣎⠁⠀⣨⠇⡀⡗⠶⠋⢵⣀⢸⡃⡘⣀⢞⢍⡝⠀⡀⠉⠣⢐⡆⡄⠐⠐⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠ ⣻⠊⣲⡵⡻⣈⡠⣐⠆⣘⡱⠀⠘⠀⢐⠂⠙⠀⢐⠁⣈⢛⢲⠡⠞⡿⢡⢎⣉⡚⠃⠀⠑⡥⠀⠑⠁⠀⠀⠀⠤⣀⠀⠀⠀⠠⢄⠁⡹⡄ ⣿⣷⣤⢈⡱⠅⠙⡪⣷⡉⠀⠀⠨⠏⣸⡅⠣⡯⢣⠛⠤⡈⡀⢀⠀⢏⡄⡨⣐⣀⠄⠃⢴⡳⢨⣓⢅⠀⢴⠀⠀⠰⠁⢪⣹⡈⠊⢆⠀⠊ ⣿⣿⣖⣾⡯⣤⣤⣆⠾⢡⡀⢀⣲⡔⠲⠇⡮⣹⡉⠀⠶⠀⠷⣑⣆⣶⣝⡑⢁⠱⢎⡠⠈⠑⠦⠨⡖⠙⣀⠂⡀⢀⠁⠈⠀⠃⠈⠀⠀⠀ ⣿⣿⣿⣿⣷⡎⣧⢺⣽⠁⡄⢠⠃⠀⣶⠊⠙⡝⢰⠂⠂⡄⢰⢨⣽⣿⡟⢻⡆⣤⡗⠊⠀⠀⡖⠀⣶⠀⡄⢠⡌⠂⠂⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣷⠄⣞⠹⣉⡟⢄⠂⢨⠩⠀⢿⠀⠆⠀⢠⠃⡥⣭⡾⢿⣷⠣⣘⣼⢎⡢⢤⣌⣉⠚⠔⠂⠄⠐⠌⠠⠀⠀⠀⠈⠀⠀⠄⠀ ⣿⣿⣿⣿⣿⣿⠗⣌⡨⠻⣬⡜⡇⢘⢤⣀⣄⠹⢻⠖⢀⣰⢑⢹⡊⢀⣿⢿⡸⣀⢰⡠⢀⠀⠀⠀⣙⢏⡋⠉⠓⠛⢅⢁⢀⢀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣻⣩⣴⡰⢼⣡⣏⠘⠁⠘⠣⠘⢇⣶⠋⠈⣜⠁⣾⢱⣿⡓⠉⠙⢯⢵⠄⠀⣩⠀⠀⢢⡄⠼⠃⣖⣀⣠⡁⢥⡀⠄⠀⠀ ⣿⣿⣿⣿⣿⡻⣧⠄⣘⢇⣙⡕⣵⠮⢄⠇⡙⡭⣸⡎⢮⣰⣉⣠⣬⠛⣿⣧⢊⠺⡰⡀⡁⢐⠜⣻⠽⠐⠊⠉⠁⠀⠀⠀⠀⠉⠐⠔⠀⠀ ⣿⣿⣿⣿⣿⣿⡑⣧⠩⢺⡌⢿⡴⢀⢗⡂⠰⡖⢏⡃⢙⡣⢨⣿⢹⣿⣿⣿⣆⡡⣄⢘⠇⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⡟⠉⠿⠽⣾⠉⢂⠀⠒⠊⠉⠑⠢⠭⡁⠁⠀⡀⠻⡟⢋⣼⣿⣿⣿⣙⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⣯⠿⠞⠁⡪⡅⠀⣿⠽⡢⢀⡀⠕⠮⠊⣀⡙⣉⡈⢱⣽⣷⣿⣿⣿⡿⣾⠑⢰⢵⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣽⣀⡄⠈⣔⢡⠀⡜⣱⠃⢠⣧⣷⣶⣿⣦⣭⣭⣾⣿⣿⣿⣿⣿⣿⣿⣏⣈⣛⡹⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢽⣿⡿⡭⣶⣄⣽⣾⣾⣿⣋⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢘⣿⢾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣧⣎⣧⣽⣿⣿⣾⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣻⣿⣟⣿⣽⣿⣿⣿⣿⣿⣿⢿⣺⣟⡂⠟⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣾⣿⣿⣿⢿⡻⣿⠷⢻⣿⣽⢮⣿⡽⢿⣻⡿⡿⣽⠟⣿⠿⣟⢻⣭⠽⣾⣿⣺⣘⠿⡶⡤⢻⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠒⠂⠁⠶⢲⠀⠀⠀⠀⠀⠀ ⠀⡰⠒⡀⠀⠀⠀⠀⠀⠀⢀⠀⠼⢀⡀⠀⠀⣀⡈⠁⢆⠀⠀⠀⠀⠀ ⢀⠱⠀⠘⠄⠀⠀⠀⠀⢠⠁⠀⠀⠀⠈⢦⣮⣷⣷⠀⠈⡆⠀⠀⠀⠀ ⢸⠑⢧⠀⠘⠄⠀⠀⠀⡇⠀⠀⠀⠀⢀⣾⠿⠿⠿⠀⠀⠇⠀⠀⠀⠀ ⠀⠣⠀⠣⡀⠼⢄⡀⠀⢡⡀⠤⡔⣂⡽⠀⡆⠀⠀⠀⡘⠀⠀⠀⠀⠀ ⢲⠐⠳⡀⠑⢌⣂⠀⠢⢈⡁⢀⣧⡕⡁⠔⠀⠀⢀⡔⠀⠀⠀⠀⠀⠀ ⠀⠳⢄⠈⠂⠌⣎⠁⠀⠀⠀⡩⠃⠀⠀⠀⠀⠀⠠⠬⠦⡀⠀⠀⠀⠀ ⠈⠏⡉⠁⠒⠤⠀⣗⠂⠀⡜⠀⠒⡀⠀⠀⢠⠁⠀⠀⠀⠘⡄⠀⠀⠀ ⠀⠀⢨⠒⠒⠠⠄⠠⠥⢆⡇⠀⠀⠘⡄⠀⡆⠀⠀⠀⢀⢸⠛⠀⠀⠀ ⠀⠀⠈⠁⢐⠶⠒⠀⠈⡁⢥⠀⠀⠀⠰⠀⢃⠀⠀⢠⣸⠎⢀⡇⠀⠀ ⠀⠀⠀⠀⠉⠒⠲⠀⣁⡤⢐⣣⠀⠀⠀⢃⠘⡀⠀⣼⠋⢀⢸⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠈⡄⠐⢴⠁⠀⡈⣾⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠈⢄⠈⢢⠀⢱⣟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡜⡦⡀⠑⡾⡘⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣪⠝⠲⠖⣂⠘⣞⣫⠱⠌⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠂⠈⠀⠀⠈⠀⠁⠂⡀⢢⡽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠚⠛⠛⠛⠊⠑⠚⠂⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠉⠙⠦⠊⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⡠⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⢄⠀⠀⠀⠀⡰⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⣄⣠⠏⠁⠀⠀⠀⠀⠀⡆⠀⠀⠀ ⠨⠀⠓⡀⠀⠨⠀⠡⠀⠀⠀⠁⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡃⠀⠀⠀ ⡁⠀⠀⠘⠊⠀⠀⢘⠀⠀⠀⡆⠀⢀⠏⠀⠁⠀⠀⡏⠃⠀⠀⠀⠸⠀⠀⡜⠀⠀⣣⠶⡄⠀ ⠃⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠧⠀⠈⠓⢦⠀⠀⠘⢤⡀⠀⠀⠀⠸⡀⠀⠇⠀⠀⡇⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠤⠞⠀⢀⣀⡠⠃⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢶⡶⣖⣶⣤⡀⠀⠀⣠⡴⣶⢶⡶⣦⣄⠀⠀ ⠰⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⣰⡿⣽⢯⣻⡽⣞⣳⣟⣦⣞⣷⣻⡽⣾⣽⣳⢯⡷⣄ ⠀⠈⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢰⡿⣽⣏⣿⣳⠿⣽⣳⣟⣮⢿⣼⣳⡟⣷⢾⡽⣯⢟⣷ ⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⣟⣧⣟⡾⣽⣻⢷⣛⡾⣭⣟⣾⣳⠿⣽⣻⢾⣽⣻⠾ ⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠹⡾⣽⣽⣳⢯⡿⣝⣿⡳⣟⣮⣟⢿⣳⢯⣟⡾⣽⠃ ⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡷⣯⢿⣹⣟⣶⣻⡽⣾⣹⢯⣟⣻⢾⠙⠁⠀ ⠀⠀⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢯⣷⣻⢞⣷⡻⣗⣯⣟⡾⠉⠁⠀⠀⠀ ⢠⣾⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢯⣟⡾⣽⣻⠞⠋⠀⠀⠀⠀⠀⠀ ⠀⠉⠉⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣴⣾⣿⣿⣷⣶⣆⠀⠀⠀⢰⣿⣷⣆⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷⠀⣠⣶⣿⡿⣿⣾⣦ ⢰⣿⣿⡏⠀⠀⠙⢿⡿⠀⠀⠀⣾⡿⣿⣿⣇⠀⠀⠘⠛⠁⢸⣿⣿⡇⠘⠛⠡⣿⣿⣿⣦⣤⣈⠛ ⢸⣿⣿⣧⡀⠀⠀⠀⡀⠀⠀⣼⣿⣤⣽⣿⣿⣆⠀⠀⠀⠀⢽⣿⣿⡇⠀⠀⢀⣙⠻⢿⣿⣿⣿⣷ ⠈⠻⣿⣿⣿⣶⣶⣾⠇⣀⣼⣿⡋⠉⢙⣿⣿⣿⣧⡀⠀⣀⣿⣿⣿⣇⡀⠀⠘⣿⣦⣀⣠⣿⣿⡿ ⠀⠀⠀⠉⠉⠉⠉⠀⠀⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠁⠀⠀⠈⠉⠉⠋⠉⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠟⠛⠛⠉⠉⠉⠁⠀⠀⠈⠉⠉⠙⠛⠿⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠹⣧⡀⠀⠀⠀⡏⠉⠙⠋⢹⡆ ⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠉⠉⠛⠿⣦⡀⠀⠸⣷⡀⠀⠀⠹⣄⠀⠠⡹⠃ ⠀⢀⣿⠃⠀⠀⠀⠀⣠⣶⠾⠟⠛⠉⠉⠛⠿⣶⣄⠀⠀⠀⠀⣰⠃⢀⣠⣤⣄⠀⠈⢻⣦⠀⢻⣧⠀⠀⠀⠈⠓⠋⠀⠀ ⠀⢸⣿⠀⠀⠀⣠⣾⠋⠁⠀⠀⢀⣠⣤⣤⣤⣈⠙⣷⣄⠀⢠⣏⣶⣿⣿⣿⣿⣿⣦⠀⢻⣧⠘⣿⢀⢸⡛⠛⢲⠀⠀⠀ ⠀⣾⡇⠀⠀⢠⡿⠁⠀⠀⣠⣾⡿⢿⣿⣿⣿⣿⣷⣌⢿⣆⢸⣿⡋⠉⢉⣿⣿⣿⣿⣧⠈⣿⠀⣿⣿⠀⠹⠶⠋⠀⠀⠀ ⠈⡟⣿⠀⠀⢸⠇⠀⢀⣼⣄⠈⠀⣸⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⣿⣶⣿⣻⣿⣿⣿⣿⣤⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⢷⢹⡆⠀⢸⡄⠀⣾⣿⣿⣿⣿⣿⣩⣿⣿⣿⣿⣿⣇⣿⢹⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠏⣸⢧⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣇⢳⡀⠈⢧⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⢁⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢎⠃⠀⠈⠳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠟⠁⠀⠀⠈⠻⣿⣿⣿⣿⡿⠟⠁⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⣄⠀⠀⠈⠙⡻⠿⢿⣿⡿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠃⣀⡀⣰⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡤⠬⣷⣄⡲⣤⣈⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⢛⡵⠚⠁⠀⢀⣠⣤⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣇⠀⠀⠀⢻⣿⠒⠭⣟⣷⢶⣤⣤⣤⣤⣤⣤⣤⣤⣶⢾⣟⠯⠗⠊⠁⠀⠀⠀⣾⠟⠁⠀⢘⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣧⠀⠀⠈⣿⡄⠀⠀⠈⠉⠛⠛⠛⠛⠛⠒⠋⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⠇⠀⠀⠙⠛⠛⠒⠒⠛⠛⠛⠻⠿⢷⡢⣤⣔⡶⠿⠟⠛⠛⠛⠻⠿⠽⠟⠁⠀⠀⢺⡿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⢿⣿⠒⠲⠛⠙⠲⠦⢼⣿⡿⠟⠛⠃⠀⠀⠀⠀⠀⠀⠀⢸⣇⡇⠀⠀⠀⠀⠀ ⠀⠀⠹⠿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⡻⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢦⣀⠀⠀⠀⠀⠀⠀⢀⡾⡿⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⢀⣠⣴⢯⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⠶⠶⣖⡿⠚⠁⠀⠀⠀⠀⠀⠀⠀⠘⠮⣷⣶⡤⡤⠴⠾⠟⠋⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣿⣷⠓⠋⡉⢈⠓⢾⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣽⣿⣿⣯⣿⣿⣿⣷⣅⠝⠉⠠⠤⣺⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣧⣤⣔⣿⣟⠌⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⠛⠉⠉⠰⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⣷⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⡿⣿⣿⣿⣏⣷⣿⣿⣾⣿⡿⣿⣿⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢟⣿⣿⣿⣟⣯⣭⣟⣻⣽⣿⣿⣯⣷⣿⣟⣷⣹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣿⣿⣿⢧⣛⣛⣻⣯⣿⣿⣿⣿⣿⣿⣫⢥⣀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣏⣞⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣺⢏⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⣿⣻⣿⣿⣿⣿⣷⢿⡿⣿⣿⣭⣯⣿⣿⡿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⢡⣬⣿⣿⣿⣟⡿⣟⣿⣿⣭⣾⣟⡫⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠠⢦⠌⡛⣷⣿⣟⡻⣟⢯⢟⡿⣱⣯⠟⡯⣗⣇⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⠐⠂⠃⠄⣺⠟⡷⢀⢓⣫⣟⢻⢽⠀⠐⠙⣽⠲⠄⠀⠀⠀⠀⠀⡠⠠⣲⢿⣃ ⠠⢀⡠⢀⢆⠞⠠⢈⣀⠈⠐⡜⢜⣟⢓⣤⣀⠳⣾⣿⣶⣄⣤⣦⢾⣻⣿⢟⣾⣋ ⠐⣤⣈⣠⡭⣲⣥⣳⠜⡼⣇⡵⣯⣤⣟⡯⣻⣶⡬⣝⣻⣿⣿⣦⡭⠧⢧⡾⣿⣥ ⠛⠈⠀⠑⢹⣭⣷⣻⣿⣿⣧⣽⣗⡼⣽⡷⢳⡺⣯⢩⡼⠵⠜⢿⣩⢘⣗⣻⣱⣿ birb
➶➴🕊.⩇⩇:⩇⩇࿐𓍊𓋼𓍊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢤⣤⡀⠀⢀⣤⢶⠲⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⣾⣦⡈⠛⣦⡾⣻⣿⣷⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣟⣿⣷⡶⠬⠉⠾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣾⣽⢿⣯⣅⣄⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡈⠻⢿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣶⠀⠀⠀⠀⠀⠀⣼⡟⠁⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⣸⡿⠁⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⢀⣿⠇⠀⡼⠁⠀⠀⠀⠀⠀⣤⠀⠀⢀⣀⡀⠀⠀⣀⣀⡀⠀⠀ ⠀⣿⠀⠀⠀⠀⣼⣿⣠⠞⠁⣴⣟⡷⢶⡀⠀⣿⡇⠀⣾⣾⠇⠀⣼⡿⣠⠟⠀⡀ ⠀⣿⠀⠀⠀⠔⣿⡟⠀⠀⢸⡿⠡⠷⣼⡧⠴⣿⣧⠀⢸⣿⣀⣰⣿⡏⠀⠀⡴⠃ ⠀⣿⠀⠀⠀⠀⣿⣇⠀⢀⡟⢷⣠⡾⠃⠀⠀⢸⣿⠀⡾⠀⠀⠸⣿⡀⣀⠜⠁⠀ ⠰⠿⠒⠀⠀⠀⢸⣿⣤⠎⠀⠀⠀⠀⠀⠀⠀⠀⠻⠚⠁⠀⠀⠀⠈⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠀⠀⠀⠀⠀⣀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀ ⠀⠸⣿⣆⠀⠀⠀⢠⠇⠀⠀⣴⡏⠀⠀⠙⢦⠀⠀⢰⣿⡏⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠘⣿⣆⠀⢀⡏⠀⠀⢰⣿⠀⠀⠀⠀⠈⣇⠀⢸⣿⡇⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠈⢿⣦⡜⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢸⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢸⠀⠸⣿⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⢸⠀⠀⢻⣷⡀⠀⠀⠀⢀⡼⠃⠀ ⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠙⢷⣀⠀⠀⣠⠞⠀⠀⠀⠙⠻⠦⠤⠴⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ 🌷🌷 🌷🌷 🌷🌷🌷🌷🌷🌷🌷 🌷🌷🌷🌷🌷🌷 Λ 🌷🌷🌷🌷. for u <3 (˘ᵕ˘🌷🌷🌷 /) /). /) /) ヽつ\ / (˶•-•˶) - (˶ᵔᵕᵔ˶) UU /🎀\ /づ づ ~♡︎. ૮ ა tankss love u too <3 for you <3 ┊ ┊ ┊ /)/) ( •-•) > ヽ uu ... ^ -----U--U---- 🌷🌷🌷 🌷 / \ / 🌷 sad person 🌷 🌷 🌷 /🎀\🌷 /)/) /)/) (˃ᵕ˂) (´∇`) /づ♡︎づ /づ♡︎づ end <3 bad ending :( 1/2
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⣶⣶⣶⣶⣶⡆⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣲⣤⢸⡇⠀⠀⠀⠀⠀⣴⠂⢰⣿⠿⠿⠿⠭⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣏⣿⠁⠀⠈⣷⢻⡆⠀⠀⠀⣼⠏⠀⠀⣿⠃⠀⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⡇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⢀⡀⠈⣿⡏⠀⠀⠀⣿⡌⣿⡀⢰⡗⠁⠀⠀⢸⣿⣿⡿⠿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣤⣤⣼⣧⣿⣤⣤⡴⡄⠀⢸⣿⣿⣻⣿⣿⣿⣿⠁⢸⣧⣘⣦⣤⡏⠀⠸⣷⠟⠀⠀⠀⠀⢸⣿⠀⣀⣰⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠛⠛⠛⠛⠒⠛⠓⠿⠽⠃⠀⠈⠻⠿⠟⠛⠛⠓⠚⠃⠈⠙⠒⠚⠉⠀⠀⠀⠈⠀⠉⠀⠀⠀⠀⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣝⢦⡆⠀⠀⢀⣼⠇⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣷⡄⣠⣿⠋⠀⢰⡟⡭⠟⠿⣿⣷⠀⠀⣿⣾⠀⣀⡠⡾⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠋⠀⠀⢸⡏⠀⠀⠀⢨⣿⡇⠀⡿⡏⡇⠀⠀⠀⣯⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⣾⣧⠀⠀⠀⠀⣿⢿⠀⢸⣿⡏⠀⠀⠀⢸⠎⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⠇⠀⠀⠀⠀⣿⢸⠄⠀⠀⢀⣿⡏⠀⢸⣷⠇⠀⠀⠀⣾⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⢮⡟⠋⠀⠀⠀⠀⠀⠓⠿⢶⡾⠿⠟⠁⠀⠀⢹⣿⣀⣀⣠⢏⣧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠯⠽⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⣀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠉⠛⠷⠟⠋⠉⠉⢲⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⢄⠀⠀⠀⠀⠀⠀⡤⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠷⣤⠀⠀⡸⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣤⣤⣤⣄⠀⠀⣀⣤⠶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠟⠀⠀⠀⠉⠻⣾⠋⠀⡎⢱⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⠑⠊⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠳⢦⣄⣀⠀⠀⠀⢀⣴⠟⠁⠀⠀⡤⠋⠉⠉⡶⠉⣈⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⣴⠟⡡⠤⠤⣄⡤⣧⢤⡀⠀⠀⠀⠉⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡅⠀⠀⠀⠾⡇⡞⠛⠳⠔⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠦⣄⡤⠏⠉⣇⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡀⢀⣀⣤⡞⠉⠉⠻⣦⠶⢶⣤⠴⠶⠚⠛⠒⠛⠶⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡞⣩⡿⠋⠁⠀⠀⠀⠀⠀⣿⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠨⠟⠉⠉⠙⢦⡀⠀⠀⠀⠀ ⠀⣯⡾⠋⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⡆⠀⢘⡇⠀⠀⠀⠀ ⠀⡽⠁⠀⠀⠀⠀⠀⠀⠀⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⢀⡼⠃⠀⠀⠀⠀ ⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⢻⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣆⣀⠀⣶⡆⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀ ⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⡿⢏⢿⠧⢶⠉⡇⠲⠂⢱⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀ ⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠛⢦⣬⣷⡞⠀⠑⠤⢤⣊⡀⠀⠀⠀⣀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⣓⠶⣤⣤⣤⠀⠀⠀⠈⠉⠙⠋⠉⠉⠉⠉⠉⠷⡶⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⠀⡟⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡏⠀⡇⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⢰⠒⠒⠒⢻⠉⠁⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠃⠀⢁⡾⠛⠂⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠳⣤⣤⣦⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠷⣤⠀⠀⠀⠀⠀⠀⠀⠀⣸⠛⠀⠀⠀⠀⢱⡾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⡖⡇⠀⠀⠀⠈⣿⠓⢲⡄⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠲⠶⠾⣿⣾⣷⣧⣤⣤⣶⣾⣿⣶⣾⣷⣾⣶⣶⡿⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣬⣉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣍⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡟⢀⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣄⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣄⠀⠀⠀⠀⠀⣀⡀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⠀⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡟⠀⠹⣿⣿⣿⣦⠀⢀⣶⣿⣿⣿⣷⡀⣿⣿⣿⣿⣿⣿⣿⣿⠇⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠁⠀⣀⣈⠻⣿⣿⣷⣿⣿⣿⣿⣿⡿⠁⠹⣿⣿⣿⣿⣿⣿⠟⠀⢸⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡏⢠⣾⣿⣿⣷⣜⢿⣿⣿⣦⠀⠀⠀⠀⢀⣀⣈⡙⠛⠛⠋⠁⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣧⣝⣛⣡⣶⣶⣾⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇⠀⠀⠀⠀⠈⠀⠀ ⠀⢀⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⢀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⢀⣿⣿⣿⣤⣤⣄⣀⣀⣀⡀⠀⣿⣿⣿⣿⠀⠀⠈⠀⠀⠀⠀ ⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠻⣿⣿⠟⠀⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣦⡶⠶⠶⠶⢶⣤⣂⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣶⢿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣽⡿⢴⣆⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⠏⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠙⣮⡄⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⠃⢀⠀⣠⣤⣄⣠⣤⡀⠀⠀⠀⠀⠀⣠⣴⣦⣤⣶⣦⡀⡀⠘⣏⡄⠀⠀⠀ ⠀⠀⢠⣾⠏⢠⡟⢸⣿⣿⣿⣿⡿⣿⠀⠀⠀⠀⠀⣿⢺⣿⣿⣿⣿⡇⢹⡄⠙⣿⢄⠀⠀ ⠀⣰⡿⠃⠀⣼⠀⠀⠙⢾⣿⣟⡿⠋⣀⠀⠀⠀⢀⠘⠿⣝⣛⡿⠋⠀⠀⣷⠀⠘⢿⣂⠀ ⣰⡿⠁⠀⠀⠹⣆⠀⠀⠀⠙⠋⠀⠘⠷⠖⠛⠲⠾⠃⠀⠈⠛⠁⠀⠀⣰⠏⠀⠀⠈⢿⢇ ⣿⡇⠀⠀⠀⠀⠙⠷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠾⠋⠀⠀⠀⠀⢸⣿ ⠘⣿⣄⠀⠀⠀⢀⣠⣾⠏⠛⠛⠻⠟⠻⠿⠿⠿⠛⠿⠟⠛⠛⠙⢿⣦⡀⢀⣀⣰⣧⡉⠀ ⠀⠈⠛⠛⠿⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⡠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠔⢉⡀⡀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠆⠉⠉⠛⠢⣄⠀⠀⠀⠀ ⠀⠀⣀⡠⡷⢾⣿⣯⣍⣦⡀⠁⠨⢨⠆⠀⠀⠀⠀⠀⠀⣠⠾⠉⡀⠀⣈⡀⠤⣤⣭⣱⡀⠀⠀ ⠀⣾⠉⠀⠀⠀⠈⠉⠙⠿⣿⣦⣤⣑⣯⣄⠀⠀⠀⠀⣰⣋⣶⣯⣁⣼⡷⠶⠟⠛⠿⠿⢧⠀⠀ ⢰⣅⢆⠀⠀⠀⠀⠀⠀⠤⡔⠞⢹⣿⣇⣾⣧⡀⠀⢠⣿⣿⣯⡿⠋⠁⠀⠀⠀⠀⠀⠀⠊⢋⡄ ⢸⣗⢊⣄⣈⣀⣤⡀⣀⡴⣾⡻⣾⣿⣿⣽⡿⠿⣿⣿⣿⣟⣿⣟⡲⢒⣀⠁⠀⠀⠀⠀⠀⢘⡇ ⠘⣿⡿⣿⣿⢍⠙⣛⣻⣿⣿⣷⣾⣿⣿⣿⣿⣶⣾⣿⣿⣛⣳⣭⣿⣏⣥⣴⣦⣤⣤⣤⡀⠇⡇ ⠀⠈⠙⠻⠮⠾⠟⠦⠬⣷⡿⠑⡉⡑⡿⡝⠀⠀⠹⣿⣿⣛⣿⣯⠭⢌⡋⣉⢢⣉⣉⣹⣿⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⣰⡾⠙⠀⠀⠀⠀⣟⡊⠃⠕⢻⠇⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⠊⠀⢠⡰⣾⢿⠃⠀⠀⠀⠀⠹⡇⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠆⠀⢰⠠⠉⣰⠄⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠋⠀⡔⢠⡟⠀⡏⠀⠀⠀⠀⠀⠀⢰⣧⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠏⠀⠀⠁⠈⠁⡜⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡀⠀⢰⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣔⠐⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⡀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢷⣦⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡬⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ଘ(੭ˊᵕˋ)੭
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠤⢤⡀⠀⠀⣀⡤⠤⢤⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣄⣀⡾⣁⣠⢠⡔⣝⣦⣼⣁⣄⣠⢂⡈⢧ ⠀⠀⠀⠀⠀⠀⣤⣶⡞⣿⣯⠛⠛⠛⠚⢻⣷⢻⣼⣯⣿⣽⣾⣯⡟⣾⢳⣯⡗⢻ ⠀⠀⠀⣠⠶⠟⠋⠈⠁⠀⠀⠀⠀⠀⠀⠀⢿⣯⣟⣾⣳⣯⣷⣻⣽⢯⣿⣽⣻⡏ ⠀⡠⠊⣁⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⣀⣠⣬⣿⣾⣿⣷⣻⣾⡽⣯⣿⣞⣷⡟⠀ ⠀⣠⡾⠋⠁⠀⠀⠉⠻⣦⡀⠀⣠⡞⠋⠁⠀⠀⠉⠻⣿⣿⣾⡽⣷⣻⡾⠋⠀⠀ ⢰⡟⣤⢒⡴⣊⡶⣓⣦⣬⣻⣾⣫⣔⡲⣆⢶⡰⣄⣆⠘⣿⣿⣽⡿⠋⠀⠀⠀⢠ ⢸⣟⡼⣯⢿⣽⣻⡽⣞⡷⣯⣟⡷⣯⢷⣯⢷⣻⢾⣼⣣⣿⠻⠋⠀⠀⠀⠀⣠⡞ ⢸⣟⣷⣻⢾⡽⣯⡷⣟⣷⢯⣿⣳⣟⡾⣽⢾⣻⡾⣽⢯⡿⠀⠀⠀⠀⣠⡴⣟⡇ ⠀⢻⣷⣻⣯⢿⣳⣿⣻⢾⣟⡷⣟⣾⣟⣯⣿⣳⡿⣯⣿⣃⣤⡴⣶⣟⣯⢿⡝⠀ ⠀⠀⢻⣷⣻⢿⣽⣞⣯⣿⢾⣻⣯⣷⢯⣷⣟⡷⣿⣽⣾⣿⢿⣽⣳⢟⡾⠋⠀⠀ ⠀⠀⠀⠙⢯⣿⣞⣯⣷⣟⣯⣷⣟⡾⣟⣷⣯⢿⣷⣿⡿⣯⣟⠾⠙⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣾⣻⢾⣽⣾⣳⣟⡿⣯⣷⡻⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣟⣧⣟⡿⣼⡿⣧⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣞⣿⢯⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠋⠉⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣠⠖⠲⢤⡖⠒⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⠀⠀⢸⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠸⣄⠀⠁⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣤⠀⠀ ⠀⡞⠉⠻⠁⢹⠀⠀⡏⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⠋⠀⠀⠀⠀⣀⡤⠴⠒⠊⠉⠉⠀⠀⣿⣿⣿⠿⠋⠀⠀ ⠀⠳⢤⡀⠀⡞⠁⠀⡇⠀⠀⢀⡠⠼⠴⠒⠒⠒⠒⠦⠤⠤⣄⣀⠀⢀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⣼⠿⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠈⠷⡏⠀⠀⣇⠔⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⠀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⡤⠤⢴ ⠀⠀⠀⠀⠀⠀⣸⠁⣾⣿⣀⣽⡆⠀⠀⠀⠀⠀⠀⠀⢠⣾⠉⢿⣦⠀⠀⠀⢸⡀⠀⠀⢀⣠⠤⠔⠒⠋⠉⠉⠀⠀⠀⠀⢀⡞ ⠀⠀⠀⠀⠀⢀⡏⠀⠹⠿⠿⠟⠁⠀⠰⠦⠀⠀⠀⠀⠸⣿⣿⣿⡿⠀⠀⠀⢘⡧⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀ ⠀⠀⠀⠀⠀⣼⠦⣄⠀⠀⢠⣀⣀⣴⠟⠶⣄⡀⠀⠀⡀⠀⠉⠁⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀ ⠀⠀⠀⠀⢰⡇⠀⠈⡇⠀⠀⠸⡾⠁⠀⠀⠀⠉⠉⡏⠀⠀⠀⣠⠖⠉⠓⢤⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀ ⠀⠀⠀⠀⠀⢧⣀⡼⠃⠀⠀⠀⢧⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⣧⠀⠀⠀⣸⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠘⣆⠀⠀⠀⢠⠏⠀⠀⠀⠀⠈⠳⠤⠖⠃⡟⠀⠀⠀⢾⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠈⠦⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠙⢦⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡇⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠸⡇⠈⢳⡀⠀⢹⡀⠀⠀⠀⢀⡞⠁⠉⣇⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⣀⠀⠀⠈⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⣷⠴⠚⠁⠀⣀⣷⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⣳ ⠀⠀⠀⠀⠀⠀⡴⠁⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⡴⠚⠉⠉⠀⠀⠀⠀⢸⠃⣀⣠⠤⠤⠖⠋ ⣼⢷⡆⠀⣠⡴⠧⣄⣇⠀⠀⠀⠀⡴⠚⠙⠲⠞⠛⠙⡆⠀⠀⠀⠀⠀⢀⡇⣠⣽⢦⣄⢀⣴⣶⠀⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣼⣽⡞⠁⠀⠀⠀⢹⡀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⣼⠉⠁⠀⠀⢠⢟⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⠉⠁⢳⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠙⢦⠀⠀⠀⡠⠁⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠏⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⡆⠀⠈⡇⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠹⣧⠞⠁⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢳⡀⠀⠙⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⢀⡄⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢳⡀⣰⣀⣀⣀⠀⠀⠀⠘⣦⣀⠀⠀⠀⡇⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⢸⡇⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠀⠀⠈⠉⠉⠉⠙⠻⠿⠾⠾⠻⠓⢦⠦⡶⡶⠿⠛⠛⠓⠒⠒⠚⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡾⠤⠤⠤⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⡡⠖⠒⠒⢄⣤⠒⠛⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⡸⠀⣠⡀⢀⠀⡇⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⢧⡀⣯⣿⣿⡄⣇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⢹⠈⠙⠁⢠⣾⣿⣷⣦⡀⠀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⢀⠣⣄⣀⡀⠝⢿⣿⠿⢣⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⠃⢠⣽⠶⢤⠀⣀⡀⢿⣄⠀⠀⠀⠀⣠⠴⣶⣤⣀⣠⣤⣖⣒⡀⢀⡠⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠉⠀⠐⠉⢀⠀⠀⡇⠁⠀⠀⠙⣗⠒⣒⡭⠴⠊⡻⣽⠛⠻⣖⣋⣀⡈⠉⠁⣲ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢎⣄⠔⠀⠀⢠⠎⠀⢠⣇⠀⠀⠀⠀⠸⣭⣅⢀⠔⠔⢧⠈⢥⠤⠼⠄⡀⠐⢶⠊⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣮⣼⣋⠔⢁⠔⠁⡠⢀⡎⢹⠀⠀⠀⠀⠀⡇⠀⡉⠀⣄⣠⠧⡜⠢⡀⠠⡤⠤⠤⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢋⠟⣻⡞⢁⡠⢊⣤⠞⠀⣼⠀⣀⣤⠀⣸⠑⢊⠉⠛⠇⠈⠄⢈⠂⠳⠤⠼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⣲⠟⡡⠚⡊⢁⡽⣛⣾⡿⠋⠀⠀⠉⠞⠋⣽⠜⠉⠲⠚⢆⠴⠤⠒⠴⠂⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⠤⠴⠒⣊⡹⣭⣿⡷⠋⠀⣠⠟⣛⣿⠟⠉⠀⠀⠀⣀⣀⠤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢘⡧⠔⠒⠊⠉⢀⣠⣽⣋⣠⣖⣩⡶⠛⠛⠢⣄⣀⡤⠖⠻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⣅⣀⡤⠤⢒⣋⢥⣲⠿⣋⣵⠟⠉⠀⠀⠀⣤⣤⣽⣣⣰⣦⣿⣷⣒⣤⣶⣴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠿⠤⡤⠤⠞⢋⡩⠴⠚⠉⠀⠀⠀⠀⠀⠀⠁⠉⠙⡟⣗⡪⠿⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠗⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠓⠾⠓⠒⠚⠲⠞⠆⠲⠖⠂⠀⠗⠛⠓⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡪⣶⣯⣿⠷⣾⣿⣿⡓⢶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⣿⡵⢋⣩⠵⠶⢿⣾⣿⣶⣦⣦⣽⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⣘⠯⠋⣡⣴⣷⣶⣦⣽⠿⣻⣿⣾⠾⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢁⠔⠊⠀⢀⡴⠁⣠⢻⣷⣽⣿⣷⣧⣶⡜⣷⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢀⠜⢠⣴⣿⣿⣴⡎⠘⣚⣿⣿⣿⣻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⢀⠎⠀⡴⡟⡿⣿⣿⠾⠆⠛⢿⠏⠉⡏⣿⣾⣾⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⠀⠀⠀⠀⠀⢀⡾⠁⢠⠎⠀⡜⠀⠈⠉⠙⠘⣀⡇⠀⠀⠀⠀⢁⡻⢟⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣧⡀⠀⠀⣠⠟⠀⡠⠃⠀⡼⠰⠖⠀⢀⡀⠀⠛⣟⣲⣀⣀⠄⠀⡵⣿⢹⡟⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⣿⣿⣿⣿⣶⠃⢀⠞⠁⠀⡘⢂⠀⡀⠰⠟⠉⠀⠀⠈⢏⡝⠁⣠⣊⡼⠚⣁⠜⢁⠛⣤⣠⣠⠀⠀⠀⠀⠀⡆⢁⠀⢤⠒⠉⠀⠀⠀⠀ ⡄⣾⡟⢁⡼⠃⡰⠋⢰⠀⢰⠣⣦⣘⣁⣠⢖⢭⡭⣷⣒⣹⣿⣭⣤⠴⡗⢋⡥⠊⣡⠎⠀⠉⠲⢤⣀⣷⣤⣴⣿⣧⠀⠈⠀⢀⡀⠀⠀⠀ ⠓⠛⢷⡞⠁⡴⠁⣠⠃⠀⣇⡴⠟⠢⢤⠋⣱⠋⠀⠀⠀⠻⣿⣷⣶⣾⣋⣡⣶⡿⠃⠀⠀⠀⣀⡤⡤⠝⠛⠃⠉⠣⡀⠀⠀⠞⠁⠀⠀⢤ ⠀⢀⣏⠀⡜⠀⣴⢻⠀⠀⣏⣁⣲⣤⣿⡾⠁⠀⠀⠀⠀⠀⠈⠉⠉⢉⠛⠉⠈⠀⠀⠀⠀⠀⠀⠎⢀⣤⠖⠒⠀⠒⡷⡄⠀⠀⠀⠀⠀⠀ ⠀⢸⢱⣼⠁⣼⡏⢀⢀⣼⡃⣀⣉⣿⣿⣿⣿⣷⣿⣷⣶⣤⡀⠀⠀⠈⠀⢀⠀⠀⠀⠀⠀⣠⡎⢀⡞⠁⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀ ⠀⣸⣿⣧⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⣤⣾⡇⠀⠀⢀⠔⡝⣠⡾⡇⠀⠀⠀⠀⠀⠀⠀⡇⢀⣀⣀⣀⠀ ⠀⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣾⣿⣿⣇⠀⣠⠃⢠⣯⣤⠃⠈⠉⠑⠒⠂⢄⠀⠀⢸⣿⣿⣿⣿⡧
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⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠑⡀⠀⠀ ⠀⠀⠀⢀⠎⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠸⡀⠀ ⠀⠀⠀⡄⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⢡⠀ ⠀⡰⠃⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⡆⠂⠒⠒⠒⠀⠒⠒⠒⠒⠒⠒⠒⢲⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠦⣀⡀⠀⠀⢀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⠿⠛⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠛⠛⠿⣿⣿⣿⣿ ⣿⣿⠋⡀⠐⠠⠁⠂⢁⠂⠐⠠⠙⢿⡿⢋⠀⠄⠂⢁⠂⢁⠂⠐⠈⠙⣿⣿ ⣿⠁⡐⠀⡁⠂⠌⠐⡀⠈⠄⡁⠈⠌⠁⠄⡈⠠⢈⠀⡐⢀⠈⠄⢁⠂⠘⣿ ⡏⠠⠐⠠⠐⠠⠈⠄⠠⠁⡐⠀⠡⢀⠁⢂⠀⠡⠀⢂⠀⢂⠈⡀⠂⠈⠄⢹ ⣇⠐⠠⠁⠠⠁⡐⠈⡀⠂⠄⡈⠐⡀⢈⠀⠌⢀⠡⠀⠌⢀⠐⠀⠡⠈⠐⣸ ⣿⡀⠂⢁⠂⢁⠀⠂⠄⢁⠐⠀⡁⢀⠂⢈⠀⢂⠠⠈⡀⠂⠈⠄⡁⠌⢀⣿ ⣿⣧⠐⠠⠐⡀⠌⠐⠈⡀⠄⡁⠄⠂⢈⠀⠌⠀⠄⢂⠠⠁⠌⠀⠄⡐⣼⣿ ⣿⣿⣷⡄⠂⠠⠐⠈⠄⠐⡀⠄⠐⡈⢀⠂⢈⠐⠈⡀⠄⠂⡈⠐⢠⣾⣿⣿ ⣿⣿⣿⣿⣦⡁⠄⠡⠈⠠⠀⠌⡀⠐⠠⠐⡀⠌⠐⠀⠄⡁⢐⣼⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⣄⠁⠂⡁⠄⠠⠁⢂⠐⢀⠐⠈⡐⣠⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣅⠠⢀⠁⠂⠄⡈⢀⠂⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡠⠁⡐⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡐⣄⠀⠀⠀⢸⡇⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡾⠋⡀⡀⠀⠉⠀⠀⠀⠀⠀⠀⠀⢀⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢦⠀⠀⠸⡇⣿⠀⠀⠀⠀⠀⢀⣀⣀⣤⣶⣿⣿⣿⣿⣿⠋⠀⠈⠁⠀⠀⠀⠀⠀⠐⠒⠶⠐⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⠳⡀⠘⡇⣿⠀⠀⠀⠀⠀⣿⡿⠻⢿⣿⣿⣿⣿⣿⡇⠀⠀⡆⠀⠀⢨⣤⠀⠀⣴⢴⠙⢤⣍⡵ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠱⡀⡇⢻⠀⠀⠀⠀⢀⣿⠇⣴⣾⣿⠟⠉⠙⢿⡁⠀⠀⠀⣁⣀⣿⣟⠙⢀⡽⠸⠀⠈⠈⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⡇⢸⠀⠀⠀⠘⠉⣽⣿⣿⣿⡇⢴⢤⠞⢘⣧⡀⢠⣿⣿⣿⣿⣿⣷⣟⢽⣧⠀⢠⣀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣡⣸⠀⠀⠀⡀⠀⢙⡿⣿⣿⣷⡄⠸⠷⠉⣞⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠠⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠏⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⡆⢰⣿⠧⠀⢸⣿⡟⣿⣿⣿⣃⣬⣭⣽⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣻⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⣀⠸⢿⣿⣿⣿⢋⡉⢻⣿⣿⣿⣿⣿⣿⡼⣷⢼⣯⠀⠀⠀⣈⡿⣿⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣶⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡏⢡⣿⢿⣾⡛⢿⣿⣿⣿⣿⣷⣿⣸⢿⣾⠀⣾⣿⣿⣿⣿⣿⣇⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢰⣿⣿⣟⣽⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⢷⣄⡘⠒⠢⢿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣄⣿⣾⠿⠛⠋⠉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣏⠿⢧⣄⣠⣶⣿⣿⡿⣿⣿⣿⡏⣻⣿⢿⠋⠩⣍⡙⠻⢟⢿⣿⣿⣿⣿⡿⠿⠟⠿⢷⣾⣿⣿⡿⠟⠁⠀⠈⢰⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣧⣇⢿⣿⣟⠋⢿⣶⠀⠀⠐⠚⢷⣄⠜⠦⣉⠙⢿⣥⣶⡲⠀⠀⣹⣿⠋⢀⣤⣾⡶⠶⠖⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡈⠻⣷⣤⣄⣀⣀⣱⣄⡀⠙⣷⣴⣽⡳⠀⠀⣰⣿⠯⣤⣿⣟⠥⢀⠀⠀⠀ ⣿⣿⣿⣟⢻⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣶⣬⣿⠿⢷⣶⣿⣿⣿⣷⣿⣿⣴⡾⠟⠁⠀⢠ ⣿⣿⣿⣿⣶⡀⠈⣽⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣷⣝⢿⣿⡏⠉⢠⣿⠛⣫⣿⣿⣿⢻⣋⣿⣿⣿⡿⣷⠀⣛⣿⣿⣿⣿⣿⣽⢻⣽⣀⠠⠀⣎ ⡇⠘⢿⣿⣿⣿⣦⣌⢿⣿⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⣿⣿⣿⣿⣮⢿⡇⣰⣿⣣⣾⠟⣿⣿⣧⢠⣼⣿⣿⡟⢷⡄⠐⣻⣿⡿⣻⣿⠏⠁⣨⣿⠟⡆⣼⡇ ⣧⡀⠈⢻⣿⣿⡿⣿⣷⣿⣿⣿⣌⠻⣿⣿⣷⣝⠻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢿⣿⣿⡟⣏⣿⣿⢫⣾⡽⣿⣿⣷⣼⣿⣿⡟⡘⣣⢾⣿⣯⣄⣘⣧⢰⣶⣿⠇⢀⣽⣿⣯ ⠀⠈⠛⢰⡟⣿⣿⣌⠻⣿⣿⣿⣿⣧⡈⠻⢿⣿⣷⣤⡈⠊⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⢨⣿⣿⠃⠸⣿⣟⡇⠘⣾⠇⠈⠛⠛⣿⣿⣶⣿⣿⣾⣿⡿⠿⢷⣥⡾⠟⣁⣴⡿⠋⢸⣷ ⠀⠀⠠⣼⡇⠈⠻⣿⣷⣌⠻⢿⣿⣿⣿⣦⡀⠙⢿⣿⣿⣷⣬⣀⠙⠿⣿⣿⣧⣌⢻⣧⣨⣿⣿⣶⣿⡿⢿⣷⣄⣜⠂⠀⠀⠀⠀⣉⣹⣿⣿⣿⣿⣃⣀⣰⣿⣴⠾⠟⢋⣧⣾⣿⣿ ⠀⠀⠀⣹⣿⣶⣶⣶⣿⣿⣷⣦⣌⣛⣿⣿⣿⣦⣀⠈⠻⣟⢻⣿⣿⣶⣎⣻⣿⣿⣮⠝⣫⢿⡿⣿⣿⡷⠶⠯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣽⡿⠃⠀⢠⣿⣿⣟⣿⣿ ⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣷⣦⣌⣿⣿⣿⣿⢿⣿⡿⣿⡿⢻⣿⣿⣷⣽⣗⣮⣓⠲⠀⠀⢈⢭⡉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⢹⣿⠁⠠⢀⡿ ⡄⠀⠉⣳⣷⣄⣤⣿⣄⣀⣀⣀⡀⠀⠉⠻⣬⡈⠁⠙⣛⡿⣿⣿⣿⣿⣄⠉⠙⢻⣷⠄⠹⣿⣿⣟⠿⣿⣿⣟⣿⡿⣓⣴⣿⣿⣿⣿⣿⡛⠙⠻⢿⣿⣿⣿⣿⣿⣶⡈⠻⢝⣆⣼⣧ ⣿⡀⢰⣿⣿⠋⣁⣭⣿⣯⣯⣽⣟⣻⣷⣶⣾⣷⣤⣈⢧⣸⣿⣿⣿⣿⣿⣷⣶⣽⣿⣿⣼⡐⣈⠙⣿⣾⣿⣿⣿⣛⣁⣀⣩⡿⠋⠉⠉⠉⣽⣟⠿⠿⠿⢿⣿⢿⣿⣿⣦⠀⠈⢻⣿ ⣿⣿⣿⣿⢣⣾⣿⣿⣿⠙⣿⣿⣻⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣫⣿⣿⣯⣤⣶⣶⣶⣶⣿⣿⣿⣷⣶⣦⣌⠛⢦⠙⠻⣷⡄⣼⠇ ⣿⢿⣿⡴⣯⣿⠃⠈⢿⣦⣽⠿⠿⠿⣿⣻⠟⠉⢙⣿⣿⣿⣿⣿⡿⠀⡠⠀⠀⣹⣽⣿⣻⣿⡟⢻⣿⠛⣴⣾⡭⡭⢯⣽⠙⣿⣏⠁⢸⣿⠉⣿⣿⣽⣿⣿⡿⣷⣄⢣⠀⢹⣷⣿⠀ ⠈⠣⠙⠿⣯⣽⣦⣀⠀⠙⠻⠶⠤⠖⠛⣋⣤⡾⢟⣡⣿⠟⢻⣿⡅⠀⠸⠀⠀⢹⡿⠛⠀⢈⣽⣿⡷⣴⠟⠃⢈⣄⢠⣟⠠⡘⢿⣦⠀⢿⣄⣜⠻⠿⠿⢋⡼⠉⠻⣯⣷⡦⢿⣿⠄ ⠀⠀⠀⡆⣄⠁⠉⠙⠛⠷⠶⠶⠶⠾⠿⠿⠟⠛⣿⡿⣷⠀⢸⣿⣿⣦⡄⠀⠀⢻⣇⠀⠀⣼⢣⣿⢃⣟⣴⣶⣿⠿⢛⣿⣲⣽⣎⢻⣷⡀⠙⠿⢴⣤⡿⠿⠗⠀⠀⢻⣯⣧⣸⣷⠀ ⠀⠀⠰⣼⡌⢿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡯⠶⣾⣧⣼⣿⠋⡏⠀⠀⠀⢸⠈⠂⠀⣿⣿⡏⣧⢿⡿⢋⡤⣾⣿⣿⣽⣿⣟⢶⠛⣿⢶⣤⢤⣤⡤⢴⣶⣶⣶⣾⣿⣻⣍⣙⣀ ⠀⠀⠀⠈⢿⠀⠙⠋⠉⠀⠀⠤⠀⠈⠁⠃⠞⠋⠀⠉⢻⣿⣿⡿⠀⢿⡤⢤⣀⠀⠁⠀⠠⡇⣿⣯⡻⣿⣲⣞⣿⣿⣛⣻⣿⣿⠏⠀⠀⠀⠀⠉⠀⠀⠀⢸⣟⣻⣿⢿⣯⣨⣭⡿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣻⣷⣃⠀⢾⡁⠀⠀⠀⠀⠀⣠⣿⡯⢿⡏⢀⡿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠝⠁⠀⠀⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⣇⠈⠀⠀⠀⠀⠀⠀⠀⣞⣩⣾⡦⣤⣿⠟⢸⡟⢫⣿⠏⣟⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢀⡞⢉⠟⠀⠀⠀⠀⠀⠀⠀⠙⠉⠉⠁⢹⢿⡆⣿⡀⣼⣿⣷⣚⠛⣛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⠋⠉⠉⠉⠉⠻⣿⠿⠋⠉⠉⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀meri jan 😘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀A.A⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠇⠀⠀⠿⠿⢿⣿⣿⣿⣿⣿⣿⣷⣄⡀⡀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⣹⣟⠀⢀⠀⠀⠀⡀⠀⠙⠋⠀⢀⣀⡀⠀⠈⠻⣿⡁⠀⠀⠀⠀⢀⠀⣹⡇⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⡀⠀⠘⣿⣿⣿⣿⠟⠀⢀⣾⣿⠏⠀⢀⣾⣿⣿⣿⣷⣄⠀⠘⢿⣿⣧⠀⢠⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠘⢿⣿⡏⠀⢀⣾⣿⣿⠀⠀⣾⣿⣿⣿⣿⣿⣿⡄⠀⠸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣇⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⠋⠀⢠⣿⣿⣿⡏⠀⢠⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢰⣿⣿⣿⣿⣧⠀⠘⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢿⣿⣿⣿⣿⣿⠀⠀⢻⣿⣿⣿⣿⣿⣿⠀⠀⣸⣿⣿⠀⠘⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠀⠀⠸⠿⢿⣿⣿⣿⣧⡀⠀⠙⠿⣿⡿⠟⠁⠀⣰⣿⣿⣿⡀⠀⠙⢿⣿⣿⠿⠃⠀⣰⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿⣿⣿⣦⣀⡀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣦⣀⡀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠙⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡈⢿⣷⡀⠀⠀⠀⠀⠀⠀⢠⣾⢏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠘⢿⣄⠀⠀⠀⠀⣰⡿⢋⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞ ⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⢀⣴⠏⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀ ⠀⠀⠀⠀⠙⢷⣦⡀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⢀⣠⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠿⣷⡀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⢠⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⡘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⠀⢀⡞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⣮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡝⣆⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⣀⠓⠀⠀⠀⠀⢀⠀⠀⣴⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡟⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠈⠳⢄⠀⠀⠀⡞⢀⣶⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⢸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠈⠳⡀⢀⡇⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠉⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢧⡂⠀⠀⠀⢱⣸⢳⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠻⣦⠀⠀⠘⣧⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠙⣧⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⣴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠈⢣⡀⠀⠘⣧⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⢋⡤⠀⠾⣇⠀⠀⢀⣴⢤⣄⠀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⢹⡄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⣿⣠⣀⡀⠀⢹⢀⣰⣿⣯⣂⣿⣯⡙⢻⡆⠀⢣⠀⠀⠀⠀⠀⠙⠀⠀⠀⠈⣦⡆⠀⣷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⠟⢹⣦⡏⣼⡿⠁⠈⢉⡿⣷⣮⣿⡇⠀⠈⢧⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⣏⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣾⣿⠞⢸⣿⠁⠀⠀⣼⠁⠀⠨⣿⡋⠙⣆⠀⠀⠀⠀⠀⠙⣆⡄⠀⠀⠀⢹⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⣿⠃⠀⠀⢠⠏⠀⠀⢠⣿⡷⣴⣿⢀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠈⣧⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠣⣄⠀⠀⣿⠀⠀⠀⣼⠁⠉⣹⡟⠈⠀⠰⣄⡀⠀⠀⠸⣦⠀⠀⠀⠙⣆⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⣾⡇⢏⢿⣾⠏⠀⠀⢀⡟⠀⠒⣿⣧⢤⡄⠀⠽⣅⠀⠀⠀⠻⣆⠀⠀⠀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠷⡆⠻⡼⡌⢒⡟⠀⠀⠀⣺⠃⠀⠀⣿⣷⢶⣿⡆⠈⠻⣆⠀⠀⠀⠹⣆⢠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⡴⣃⣶⡟⢿⣿⡇⢷⣄⣨⡿⠀⠀⠀⡟⠈⠉⢻⡇⠀⠀⠘⣦⠀⠀⢀⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠁⠈⢯⣿⣷⡀⠂⢺⡇⠀⠀⢠⡧⠈⠉⢹⡇⠀⠀⠀⠈⣧⣠⣾⣷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣝⣦⣹⠃⠀⠀⣿⠃⠀⠀⢸⣧⠀⢀⣀⡤⢸⢳⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⡆⠀⢠⣿⠀⠀⠀⣼⣿⠀⠀⠀⢀⣼⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⠤⠖⠋⠉⠀⠀⠀⠀⠈⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⣠⠤⠖⠓⠒⠒⠒⠦⣀⠀⠀⠀⠀ ⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢶⠀⠀ ⠀⢀⡴⢾⡄⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⣦⢰⣤⣤⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀ ⢠⡏⠀⠀⠈⠑⣧⣶⣀⠀⣦⢠⣰⣿⣆⣸⣶⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆ ⠈⢧⡀⠀⠀⠸⠛⠙⢿⣷⣼⣿⣿⣿⣿⣿⡿⠋⣽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠄⢸⠃ ⠀⠀⣩⠶⣄⠀⠀⠀⠀⠉⠀⠉⠛⠋⠻⠣⢽⣶⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⡖⠁⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇ ⣰⡇⠀⠀⠀⠀⠀⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⢹⡇⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⢠⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⡿⠀ ⠀⢧⠀⠀⠀⠀⠀⠀⠀⣄⠀⣿⢷⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⣹⣴⡇⠀ ⠀⠈⢣⡀⠀⠀⠀⠀⠀⠘⣦⣸⣄⡀⠀⠀⢸⡇⢹⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⣿⠀⠀ ⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠸⣆⠀⠙⢧⣄⣀⣧⣈⣆⣀⣀⡠⠤⠤⠴⠟⠉⢿⠁⢽⠃⠀ ⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠈⢧⣀⣰⣇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠂⢨⣧⠀ ⠀⠀⠀⠀⠀⢹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⠤⢤⣀⣀⣀⣤⣤⠤⠞⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡿⢦⡀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠉⣧⠠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⣹⠋⠉⠓⠒⠒⠲⠦⠤⠄⠤⢀⣠⢿⠚⠋⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠤⣄⣀⣀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠠⠀ ⠀⠀⠀⠀⠀⢀⡔⢁⠀⠀⢠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠹⡄⠀⠀⠀ ⠀⠀⠀⢀⣾⠋⡰⠋⠀⣰⠋⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠹⡄⠀⠀ ⠀⠀⠀⠀⢹⡟⠁⠀⢠⠏⠀⠀⠀⡼⠁⠀⠀⠀⡄⠀⠀⠀⠀⡀⠀⠀⠀⠘⡄⠀⢳⠀⠀ ⠀⠀⠀⠀⢸⡷⢤⣀⠏⠀⠀⠀⣰⠃⠀⠀⠀⢸⠃⠀⠀⠀⠀⣏⠀⠀⠀⠀⢹⡀⣸⠇⠀ ⠀⠀⠀⠀⠀⡇⠀⠈⠑⠒⡶⠴⣇⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⢹⠀⠀⠀⣀⡴⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⢳⠀⠀⠙⠦⠤⠼⠤⣤⣀⣀⣀⣀⠬⠖⠒⣟⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⡏⢻⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⣧⠘⣆⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⣿⡿⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⡿⠛⢰⣾⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⡿⠛⠁⣄⣾⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢈⣿⠁⠀⠀⠙⠻⢿⣧⠀⢠⠋⠀⢱⡄⠒⠉⢲⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠼⣿⠀⠀⠘⠀⠀⠀⣿⢃⠇⠀⢠⠂⠀⢀⠀⠀⢃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⡅⠀⡆⠀⠈⢹⡅⢸⠀⡰⠃⠀⠀⣾⡆⠀⠘⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⡰⡇⠀⠀⠘⣷⣮⠔⠁⠀⠀⡼⡇⢹⢦⠀⠰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⠘⢄⠀⠀⠀⠉⠀⠀⠀⣰⠁⢈⡀⠣⣷⠀⢃⠀⠀⠀⠀ ⠀⠀⠀⠀⡸⠀⠀⣸⣧⡀⠀⠀⠀⠀⣰⠃⠀⠘⣷⢤⣼⣀⠀⠱⡀⠀⠀ ⡀⡄⠀⢀⠃⠈⠙⠛⠃⠙⠶⢤⣤⠴⠃⠀⠀⠀⠘⠀⠙⢿⠙⢦⣸⣶⡄ ⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⡴⠒⠒⡆⠘⡄⠀⢰⠃⠀⠀⢰⠋⠉⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀remember to always love yourself ⠀⠀⠀⠀⠀⣇⡀⠀⠀⠀⠀⠀⣇⠀⢠⠇⠀⠸⣀⠏⠀⠀⠀⢸⣀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀no matter what. God will help you ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠈⠉⠁⠀⠀⠀⠉⠀⠀⠀⠀⠈⠑⠲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀through any and everything! ⠀⠀⠈⠉⠁⠒⠂⠤⠤⠤⠤⠤⠤⠤⠤⠠⠤⠄⠤⠀⠤⠄⠄⠄⠄⠤⠠⠠⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⣀⣀⡀⡀⠀⢰⠀⢠⡟⠓⡏⠀⠀⢀⡀⠀⡇⠀⡏⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⡟⢹⡀⡼⢠⡿⠁⠀⠈⡆⢸⣁⡇⠀⢸⢈⣇⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠧⠔⠁⠀⠉⠁⠘⠁⠀⠤⠔⠋⠀⠳⠄⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠒⠒⢢⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠄⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢄⣀⣀⣀⡀⠈⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡊⠀⠀⠀⠀⢣⠀⡠⠖⠉⠓⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢅⠀⠀⠀⠀⢸⡜⠁⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠈⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⢀⡤⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠠⠃⡐⠠⠂⠀⠠⠀⢀⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠂⠄⠁⡀⠀⠐⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⢀⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠐⠐⠀⠄⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⣽⣞⣷⣻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣟⣷⣻⢾⣽⣿⣷⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣞⣷⣻⣟⡾⣯⣟⣾⡽⣯⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣾⣳⣟⣾⡽⣷⣻⢾⡽⣷⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣄⡀⢀⣾⣿⣟⣷⣻⢾⡽⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣟⣾⣳⢿⣳⣟⣯⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⣟⡿⣿⢿⣿⣿⣟⣾⣳⣯⢿⡽⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⡀⠀⠀⣠⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠻⠿⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣯⣿⣽⢻⣽⣯⣿⣽⣾⢳⡟⣾⣯⡟⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠛⡝⢻⣿⣦⣾⣿⢱⡎⣼⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡽⣾⡽⣯⡷⣟⣾⣳⣯⢿⡽⣷⢯⣟⣷⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢣⢏⡵⢣⡚⣽⠿⣆⠳⡜⣥⢣⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣟⣷⣻⢷⣻⢯⡷⣟⣾⢯⡿⣽⣻⣞⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡗⣎⢖⡣⣝⢢⡛⣬⠳⣩⠖⣣⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣽⣯⣟⣯⢿⣽⢾⣻⣽⢯⣷⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣾⢬⡱⢎⡵⢓⢦⢛⡴⢫⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣾⣯⣟⣯⣟⡾⣯⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣍⠶⣩⠞⣸⣼⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⢿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢷⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⠟⣭⢣⠏⣝⠻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣥⢛⡴⢋⡞⣬⠳⣜⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠁⠀⠈⠙⠻⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⣿⣛⠴⣋⠴⣫⠜⣆⠻⣤⢻⣷⠀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢿⡛⠿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣻⣞⡷⣯⢿⣿⣷⡀⠀⣠⣤⣶⡿⠿⠛⠛⠉⠉⢿⣧⠀⠀⠀⠀⢸⣿⢬⢳⡩⢞⣡⢛⡬⢳⡌⣿⡿⣟⢻⠻⢿⢿⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⢶⢩⡓⢦⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⡿⣞⣷⢯⡿⣽⣯⣟⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀⠀⠀⠘⣿⢎⡣⣕⢫⠲⣍⢺⡑⡞⡴⠳⣌⢧⡛⡜⣎⠽⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠿⠿⢿⣿⢏⡎⢧⡙⢮⡱⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣻⣽⢾⣻⣽⣷⣻⣞⣿⣿⣇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⣿⣏⠶⣩⢎⡳⣌⢧⡹⡜⣜⠳⡜⢦⡹⡜⡜⣎⣽⡇ ⠀⠀⠀⠀⠀⠀⠀⣾⡿⡌⣏⡝⡲⣌⠳⣜⢣⡝⢦⣓⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣯⢷⣻⣯⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⢹⣿⠸⡥⢎⡵⣊⠶⡱⣍⢎⡳⣙⢦⡓⣭⢚⣴⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⡝⡴⢪⡕⣎⠳⣌⠳⡜⣣⢾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣽⣻⢷⣯⢿⣿⣿⣿⣿⣻⣞⣷⣻⣞⣿⣿⣿⣿⣿⣿⣿⣷⣿⣇⠀⠀⠀⠀⠸⣿⢣⡝⢎⠶⣩⠞⡱⢎⢮⡱⡍⢶⣉⣶⣿⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣷⣼⣌⣳⣍⡳⣍⣶⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡷⣯⢿⣞⣯⣿⣿⣿⣷⣻⣞⡷⣟⣾⣽⣿⣿⣯⢿⡽⣯⣟⣿⣿⡆⠀⠀⠀⠀⢿⣷⣾⣭⣾⣥⣾⣵⣯⣶⣵⣿⡾⠟⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠿⠿⠿⠟⠻⣿⣾⡷⣯⣟⣯⣷⣿⣿⣿⣿⣿⡽⣷⣻⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣽⣳⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣟⣾⡽⣯⣟⡿⣾⣽⣿⠛⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣷⢿⣷⣏⣿⣿⡿⠁⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⣿⣿⣟⡾⣯⣟⣷⣻⣟⣯⢿⣽⣻⢾⣯⣟⣾⣿⠀⠀⠀⠁⠀⠀⠀⠀⠉⢿⣷⣄⣠⡶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢛⣿⡿⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣯⣟⣷⣻⣞⣷⣻⢾⣯⢷⣻⣟⡾⣽⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡾⢷⣦⣀⢀⣀⣀⡀⠀⠀⠀⣀⡀⠀⢀⣤⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⠛⠀⠀⠈⠙⠻⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠻⣿⣾⣳⣟⣾⣳⣟⡿⣞⣿⣳⢯⣟⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠉⠛⠿⢿⣶⣦⣤⣄⣀⣀⣰⣿⠃⠀⠀⠘⣿⠿⠛⠛⠿⣦⣴⡿⠛⠛⠿⣿⠋⠀⠀⠹⣿⡀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣶⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⣠⣶⡿⢿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠻⣿⣾⣷⣻⡾⣽⣻⢾⡽⣯⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠉⠉⠙⠛⠛⠿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣧⣶⣶⣶⣾⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⢧⡚⡵⢢⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠻⠿⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⢿⡻⣛⢿⣶⡄⠀⠀⠀⠀⠀⠀⠹⣷⣄⡀⠀⠀⠀⠀⠀⢠⣿⣷⡀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡜⣣⠵⣩⢓⣾⣿⣀⣠⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣤⣄⡀⣼⡿⢥⢣⡓⣭⢚⡼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢶⣶⣶⡾⠟⠋⠙⠿⣶⣶⣦⣶⡾⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⣜⡱⢎⡵⢣⡛⣏⢻⡙⣟⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢿⡹⣌⢧⡹⣹⢻⣿⢇⡏⢶⡙⡴⣋⠴⣹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢰⡙⣎⢖⡣⡝⣬⢣⡝⢴⢺⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⢦⠳⡜⢦⡓⣥⢓⡎⣞⡸⡱⢎⡵⣊⢗⣹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⣟⣿⣻⣿⣆⣀⣤⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠘⣿⣣⢝⡢⢏⠶⣹⢰⠣⣞⣵⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⢃⠿⣸⠣⡼⣠⠟⡸⣄⠧⣻⠸⡤⣛⢜⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣻⡼⣧⢿⣿⣿⣿⢿⣟⣿⣿⡄⠀⠀⠀⠀⠀⠀⠸⠿⣿⣧⣿⣼⣤⣿⣿⠿⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣯⡚⣥⠳⣱⠣⣝⡱⢎⡵⢃⡻⢴⣩⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⣽⣻⡽⣯⣟⡿⣞⡿⣾⣽⣻⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣝⣆⠻⡴⣙⠮⣜⢣⡝⢦⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣳⣯⣟⡷⣯⢿⣽⣻⢷⣯⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣷⣬⣳⢌⡳⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣟⣾⣽⣻⣟⣾⣽⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢷⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣾⣷⣿⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢠⠀⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣆⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣰⣷⢴⣿⡇⠰⣿⡧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⠿⠛⠀⠀⣴⡾⢷⣶⣄⠀⢀⣤⣶⣶⣾⣥⣀⠀⠀⢸⣿⡇⣰⣿⣿⡘⣿⣧⣴⣿⡏⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⣿⠀⠀⠀⠸⣿⡇⠀⠜⢻⣷⣿⠏⠁⠠⢌⣿⢿⠀⠀⢸⣿⣿⣿⢿⣿⡄⠈⢹⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⣻⣷⡂⠀⠉⣿⠋⠀⠀⣤⣾⠟⠊⠀⠀⣼⣿⠛⠛⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠠⣹⣿⣤⠄⠀⣠⣴⣿⠛⠁⠀⠀⠀⠀⣿⣿⠀⠀⢸⣿⡇⠀⢸⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣷⣧⡀⠀⠀⠘⢪⢿⣶⣾⡿⠋⠀⠀⠀⠀⠀⠀⢰⣿⡯⠀⠀⠘⣿⣧⡀⣾⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠽⠏⠃⠀⠀⠀⠀⠀⠀⠀⠈⠛⠃⠀⠀⠀⠛⠁⠁⢻⠿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⣼⣄⢀⣀⣄⣰⣤⣀⠀⠀⠀⣐⡀⠀⠀⢀⡄⠀⠀⠀⣿⣆⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⢿⣷⡀⠀⣠⣴⣶⣄⠸⣿⣄⣽⣿⣿⡟⣋⡩⣿⡿⢿⣦⣀⣿⡇⣴⣾⠿⡟⠃⣴⣦⢸⣿⠘⠻⣿⣷⣤⡀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⣟⠡⣽⣿⠋⠉⢿⣧⠍⣿⡯⠡⣿⣿⠟⠋⣿⣿⡿⠋⠁⣿⡇⢽⣿⣶⡿⠂⣿⣿⠀⣿⡇⠀⣿⡏⢻⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠉⣿⣿⣿⡁⠀⠀⣾⡟⠁⣾⡟⠀⢸⣿⠀⠀⣿⣿⣧⠀⠀⣿⡇⢺⣿⠀⢀⣆⣿⣿⡀⣿⡇⢐⣿⢁⣼⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣠⣿⠏⠻⣷⣶⣾⠟⠁⠀⣿⡏⠀⠸⣿⠄⠀⢸⣿⠻⣷⣤⣹⣷⢸⣿⣠⣿⠏⣿⡿⣷⣿⡇⢸⣿⡿⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⠛⠁⠀⠀⠀⠈⠀⠀⠀⢀⣿⡇⠀⢰⣿⠃⠀⠘⠛⠀⠈⠛⠙⠃⠀⠛⠛⠃⠀⠻⠃⠈⠉⠀⠙⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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