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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡟⠿⠿⠿⠛⠛⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠈⠉⠙⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠁⠀⠀⠀⠀⠀⠙⠛⠛⠉⠁⠀⣠⡄⠀⠙⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠇⢀⣴⣿⣿⣿⣷⣦⣤⡀⠉⠉⠉⠉⠉⠉⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣶⣿⣿⣿⣿⣶⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⡇⠀⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢀⣤⣴⣶⠿⣿⣿⣿⣿⡇⠀⣾⣿⣿⡟⢻⣿⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣶⡾⠟⠉⠉⠀⠀⢿⣿⣿⣿⡇⠀⠉⠉⣿⡇⢸⣿⠀⢸⣿⡇⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⠇⠀⢠⣾⣿⡇⣾⣿⠀⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⣾⣿⡿⠀⢀⣿⣿⡟⠁⣿⡿⠀⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣀⣀⣀⣾⣿⡿⠃⠀⣼⣿⣿⡇⠀⣿⣷⣶⣾⣿⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⣀⣀⠸⠇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢸⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠸⠿⠿⢿⣿⡇⠈⠛⠛⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣦⣄⠀⢠⣤⣤⣾⣿⡇⠐⢿⣦⣤⣤⣄⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⣀⣀⣀⣠⣤⠀⠙⣣⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⠻⣿⣿⣿⣄⡀⠛⠛⠋⢀⣴⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣄⡀⠻⠧⠿⠟⠁⢠⣾⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⡀⠀⢤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠤⡤⠄⠘⣻⣿⣿⣿⣷⣦⣄⣀⣤⣾⣿⣿⣿⣧⡄⠀⣠⡄⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀⠙⠋⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣥⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠀⠠⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⣀⣤⣄⠘⠛⠿⣿⣿⣿⣿⡟⠛⠉⠉⠉⠉⠙⠛⠿⠟⠛⠛⠛⠛⠛⠛⢿⣿⣿⣿⣿⡿⠿⠀⢀⣤⣤⣉⡁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣶⣦⣀⣈⠉⠛⠛⠁⢤⣾⣷⣾⣷⣶⡀⠀⢀⣴⣶⣶⣶⣶⡆⠸⠿⠿⠟⠛⢁⣀⣴⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠆⠀⠀⠀⠻⣿⣿⣿⣿⠟⠀⢸⣿⣿⣿⣿⡿⠃⠀⠀⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣠⣿⣶⡄⠈⠛⢿⡏⠀⠀⠈⣿⣿⡿⠋⢀⣴⣦⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠐⣿⣿⣿⣿⣶⡄⠀⠀⣴⣿⣧⠈⠀⣴⣾⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠦⠀⠉⠿⠿⠏⠉⠀⠴⠾⠿⠿⠿⠷⠄⠈⠹⠿⠿⠿⠇⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠛⠶⣄⢀⣠⣤⠴⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠉⠉⠉⠛⠶⠶⠖⠒⠒⣾⠋⠀⢀⣀⣙⣯⡁⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⢯⣼⠋⠉⠙⢶⠞⠛⠻⣆⠀⠀⠀ ⠀⠀⠀⢸⣧⠆⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣤⡤⢿⡀⠀⢀⣼⣷⠀⠀⣽⠀⠀⠀ ⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢏⡉⠁⣠⡾⣇⠀⠀⠀ ⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠀⢻⡀⠀⠀ ⣀⣠⣼⣧⣤⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠐⠖⢻⡟⠓⠒ ⠀⠀⠈⣷⣀⡀⠀⠘⠿⠇⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠿⠟⠀⠀⠀⠲⣾⠦⢤⠀ ⠀⠀⠋⠙⣧⣀⡀⠀⠀⠀⠀⠀⠀⠘⠦⠼⠃⠀⠀⠀⠀⠀⠀⠀⢤⣼⣏⠀⠀⠀ ⠀⠀⢀⠴⠚⠻⢧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠉⠉⠓⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠶⠶⠶⣶⣤⣴⡶⠶⠶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⢶⣶⣄⠀⣠⣴⣾⠿⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣤⣤⣄⣀⡀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣾⠋⠀⠀⠈⠹⣿⡟⠉⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⠟⠉⠉⠉⠛⠻⢿⣶⠿⠿⠟⠛⠛⠛⣿⠇⠀⢠⣶⣶⣶⣿⣷⣦⣤⣀⣠⣤⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⢸⣿⣼⡿⠁⠀⠀⠙⣿⣯⡁⠀⠈⢿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣄⠀⠀⢙⣿⣷⡀⠀⠀⢠⣿⣿⣿⡆⠀⣾⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠋⠙⠻⠷⠾⣿⡟⠛⠋⠀⣴⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠷⡶⠿⠛⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣹⣷⣤⣤⣤⡄ ⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡀⠀⠀⠀⠘⠋⢹⣿⠀⠀⠀⠀ ⠀⣀⣀⣤⣿⣧⣤⡄⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡷⠀⠀⠀⠀⢠⣼⣿⣤⣤⡤⠀ ⠈⠛⠉⠉⠹⣿⠀⠀⠀⠀⠀⠸⣿⡿⠀⠀⠀⠀⠀⢀⣠⡤⣤⡀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣿⣷⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠤⠼⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⣿⡿⢶⣤⣄⠀⠀ ⠀⠀⠀⠉⠁⠀⠹⣷⣤⡴⠆⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣼⡟⣻⡇⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⢀⣠⡾⠟⠛⠿⣶⣤⣤⣤⣄⣰⣿⣍⣀⡀⠀⠈⠙⠳⠿⢷⣦⣀⣠⣤⣶⣿⣟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠋⠀⠀⠀⣰⡟⠉⠀⠀⠙⣿⣅⣉⣿⣁⣀⣠⣶⡀⠀⠀⠈⣿⡏⠁⠀⠀⠹⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⠀⠀⠀⠀⠀⣿⣧⡽⠉⠛⢉⣉⣘⣷⣄⣰⣿⣿⠇⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡄⠀⠀⠀⠀⣻⡷⡄⣞⣳⠘⢦⣇⡈⠙⡿⢿⡇⠀⠀⠀⠀⢠⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⡟⠉⢿⣦⣄⣠⣴⡿⠛⣡⣌⣿⢳⡞⠧⣿⣀⡙⠚⢿⣦⣄⣤⣴⠟⠙⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠈⠉⠉⢹⣧⠈⠳⠞⡉⢻⡷⢦⠸⢭⣧⣤⡿⠋⠉⠉⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠈⣿⣆⠀⢾⣹⠆⠙⢫⣶⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠘⢿⣶⣤⣤⣴⣾⡿⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⢀⣼⣿⣿⡿⠿⠿⣷⣶⣿⣷⡀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣦⣤⣤⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠈⠙⢿⣦⣤⣀⣤⣴⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⡝⠻⣯⣞⣰⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠲⠾⠽⠳⣖⢢⣀⣀⣀⣀⣴⡿⠃⠁⠀⠀⠀⢹⣾⢿⣟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡗⠀⠀⠀⠀⠈⠙⡿⣮⣿⠿⢿⣿⣷⣤⣤⣤⡄⠀⠀⢸⡿⣝⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣿⣧⠀⠀⠀⠀⢀⣠⣔⣻⡇⠀⠀⠀⣿⡏⠉⠉⠙⠃⠀⠀⠡⣟⡜⡻⣼⢻⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⡿⢫⢇⣿⡆⠀⠀⡼⠛⠋⠈⠹⣖⢦⣀⡼⣟⠀⠀⠀⠀⠀⠀⠀⠸⣿⣍⢳⡬⢇⢯⡻⣿⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⢛⡜⢧⢫⢼⡇⠀⠀⠀⠀⠀⠀⡴⣾⢿⣛⢿⡷⣤⣄⠠⣤⠤⡴⠃⣷⣿⣜⢧⡛⡭⣖⡹⢎⢧⢫⠿⣦⣄⠀⠀⠀⠀⠀⠀ ⣿⣇⢏⡞⡭⢎⣻⡇⠀⠀⠀⠀⢀⣨⡟⣷⠾⣩⢞⡹⣿⣭⣿⡳⣾⡿⢟⣿⡴⣏⠿⣯⣷⣾⣳⣿⣎⢧⡛⣜⢻⣷⡄⠀⠀⠀⠀ ⠻⣾⣮⣜⣱⣋⣾⡻⣦⣤⠶⣾⣫⣿⣿⠟⠛⠛⠋⠙⠙⠛⠓⠻⢷⣯⣏⢧⡹⣞⣿⣿⣿⣿⣿⣿⣞⡲⡽⢬⠳⣜⢳⠀⠀⠀⠀ ⠀⠀⠈⠉⠉⠉⠉⠉⠁⢹⡟⣧⡟⢋⣴⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣷⡎⣖⣿⣾⣿⣼⣞⣾⡹⣟⣣⣛⢼⢳⡹⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⠀⠀⠸⣿⣏⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣮⡽⣯⡿⣿⣿⣗⢻⣿⣿⢿⢿⢧⢟⡽⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣇⠀⠀⠀⠩⠟⠀⢠⠖⠦⡀⠀⠀⠀⠀⣴⣿⣷⡀⠙⣿⢮⣝⣦⣟⣿⣞⣭⠳⣍⣎⢳⡚⡜⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠈⠱⠶⠁⠀⠀⠀⠀⣿⣿⣿⡇⠀⢸⡷⣎⢷⢱⡎⣿⢿⣿⣰⡎⣇⢹⢱⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣤⣀⢀⡴⠶⠾⣄⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⢸⣿⡘⣎⣧⣿⠋⠀⠉⠙⠻⠾⠿⠟⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡟⠀⠀⠀⠘⣇⣤⣤⣤⣀⠀⠀⠀⠀⢀⣼⣧⣽⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⢠⡾⢏⡳⣬⠳⣝⡻⣶⡶⣾⡟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢨⢕⡫⢵⣊⠗⣮⣱⣙⣶⣩⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣀⡀⠛⢛⣿⠟⠛⠉⠉⠉⠉⠉⣹⠶⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣏⠉⠉⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣦⠀⠀⠀⠀⠀⠀⠀⠙⠓⠒⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠉⠁⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣶⣦⣤⣤⣤⣤⣤⣤⣿⡷⠶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⠲⠶⣤⣀⣠⣤⣤⣤⡿⠛⠿⡴⠾⠛⢻⡆⠀⠀⠀ ⠀⠀⠀⣼⠁⠀⠀⠀⠉⠁⠀⢀⣿⠐⡿⣿⠿⣶⣤⣤⣷⡀⠀⠀ ⠀⠀⠀⢹⡶⠀⠀⠀⠀⠀⠀⠈⢯⣡⣿⣿⣀⣰⣿⣦⢂⡏⠀⠀ ⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠹⣍⣭⣾⠁⠀⠀ ⠀⣀⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣧⣤⡀ ⠈⠉⠹⣏⡁⠀⢸⣿⠀⠀⠀⢀⡀⠀⠀⠀⣿⠆⠀⢀⣸⣇⣀⠀ ⠀⠐⠋⢻⣅⡄⢀⣀⣀⡀⠀⠯⠽⠂⢀⣀⣀⡀⠀⣤⣿⠀⠉⠀ ⠀⠀⠴⠛⠙⣳⠋⠉⠉⠙⣆⠀⠀⢰⡟⠉⠈⠙⢷⠟⠈⠙⠂⠀ ⠀⠀⠀⠀⠀⢻⣄⣠⣤⣴⠟⠛⠛⠛⢧⣤⣤⣀⡾⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇

⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣰⡿⠛⠛⠿⢶⣦⣀⠀⢀⣀⣀⣀⣀⣠⡾⠋⠀⠀⠹⣷⣄⣤⣶⡶⠿⠿⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠈⠙⠛⠛⠋⠉⠉⢹⡟⠁⠀⠀⣀⣀⠘⣿⠉⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⣾⡋⣽⠿⠛⠿⢶⣤⣤⣤⣤⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⡀⠀⢈⣻⡏⠀⠀⠀⠀⣿⣀⠀⠈⠙⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠙⢷⣄⣀⣀⣼⣏⣿⠀⠀⢀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣿⡉⠉⠁⢀⣠⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠗⠾⠟⠋⢹⣷⠀⠀⠀⠀ ⢀⣤⣤⣤⣿⣤⣄⠀⠀⠀⠴⠚⠲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡆⠀⠀⠀⠀⢀⣈⣿⣀⣀⡀⠀ ⠀⠀⠀⠈⣿⣠⣾⠟⠛⢷⡄⠀⠀⠀⠀⠀⠀⠀⡤⠶⢦⡀⠀⠀⠀⠀⠹⠯⠃⠀⠀⠀⠈⠉⢩⡿⠉⠉⠉⠁ ⠀⠀⣤⡶⠿⣿⣇⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠓⠶⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣼⣯⣀⣀⠀⠀ ⠀⢰⣯⠀⠀⠈⠻⠀⠀⠀⣿⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠉⠉⠁⠀ ⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⢀⣀⣀⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡿⢷⣄⡀⠀⠀⠀ ⠀⠀⠀⠈⠙⣷⠀⠀⠀⣴⠟⠉⠉⠀⠀⣿⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣾⠟⠉⠀⠀⠈⠉⠀⠀⠀ ⠀⠀⠀⠀⠰⣿⠀⠀⠀⠙⢧⣤⡶⠟⢀⣿⠛⢟⡟⡯⠽⢶⡶⠾⢿⣻⣏⣹⡏⣁⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠙⠛⠛⠋⠀⠀⢀⣽⠟⠛⠖⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⠷⠶⠿⠟⠋⠹⣷⣤⣀⡀⠄⣡⣀⣠⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣍⣉⣻⣏⣉⣡⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀≽^•༚•🎀≼⚞🎀・◦・⚟⚞🎀・◦・⚟

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢎⠱⠊⡱⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠒⠒⠒⠒⠤⢄⣑⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠝⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢰⣢⠐⡄⠀⠉⠑⠒⠒⠒⣄ ⠀⠀⠀⣀⠴⠋⠀⠀⠀⡎⠀⠘⠿⠀⠀⢠⣀⢄⡢⠉⣔⣲⢸⠀⠀⠀⠀⠀⠀⢘ ⡠⠒⠉⠀⠀⠀⠀⠀⡰⢅⠫⠭⠝⠀⠀⠀⠀⠀⠀⢀⣀⣤⡋⠙⠢⢄⣀⣀⡠⠊ ⢇⠀⠀⠀⠀⠀⢀⠜⠁⠀⠉⡕⠒⠒⠒⠒⠒⠛⠉⠹⡄⣀⠘⡄⠀⠀⠀⠀⠀⠀ ⠀⠑⠂⠤⠔⠒⠁⠀⠀⡎⠱⡃⠀⠀⡄⠀⠄⠀⠀⠠⠟⠉⡷⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠤⠤⠴⣄⡸⠤⣄⠴⠤⠴⠄⠼⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁

⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆｡˚˙✧˖°📷 ༘ ⋆｡˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧｡⋆🌻⋆｡‧˚⛷🧚‍♀️🛖

⠀⠀⠀⢀⠤⠤⠠⠤⠤⠀⠤⠤⢀⡀⠠⣀⡀⠀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⢊⢰⠀⢀⠀⠂⡄⢠⡀⡤⠀⢠⠀⡄⢀⠀⠂⢸⠀⠀⠀⠀⠀⠀⠀ ⢀⠜⠀⡃⠇⢃⠀⠅⠠⠊⠁⠀⡁⢤⠊⠁⠈⠙⠄⠀⢨⠀⠀⠀⠀⠀⣠⡄ ⠈⢆⠀⠉⠀⢸⠀⠀⢇⠀⠀⢿⣿⢸⢸⣿⡇⠀⡸⠀⠸⠀⠀⠀⣀⡌⡜⠁ ⠀⠘⡄⢸⡅⠀⠀⠀⠨⢄⢁⠤⠔⠉⠦⠄⠐⢈⡩⠀⢠⠀⠀⠸⠰⠏⡼⠀ ⠀⠀⢸⠀⢸⢹⢂⠀⠀⢸⠒⠤⡤⢤⣤⠭⡽⠀⢀⠀⡇⠀⠀⢀⠳⠉⠀⠀ ⠀⠀⠀⢱⠀⢉⢀⠀⠀⢸⣤⣦⣓⣚⣿⠀⠁⠐⠤⠃⡇⢄⢀⢢⠃⠀⠀⠀ ⠀⠀⠀⢠⠉⡄⠀⡆⠀⡀⠑⠠⠥⠽⠃⠀⠀⠀⠗⢸⣀⡿⠒⠁⠀⠀⠀⠀ ⠀⠀⠀⠠⡤⡔⠒⠀⠙⠢⠄⡒⡢⣤⠤⣂⠤⠐⠒⡎⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⡟⢻⡇⠻⠿⠟⠿⠿⣋⡿⠿⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠆⢹⢺⡷⠤⠤⡄⠀⠐⢺⣒⣖⡶⠒⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢷⠏⠁⢸⢹⠉⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣾⣤⣄⠀⠀⢸⣿⣷⣲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠶⢦⣄⠀⠀⠀⠀⠀⣴⠟⠛⢧⣠⣶⣿⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⡟⠦⠌⠛⠉⠉⠉⢹⠇⢠⣶⣼⣷⣞⢙⣧⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⠃⠀⠀⠀⠀⠀⠀⣿⠀⠈⢻⡃⠀⢸⡿⡄⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠘⠷⠖⠛⠛⠛⢿⡗⢋⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢻⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⠾⣷⠆⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠐⢺⡟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢿⡦⠀⠀⠛⠃⠀⠀⢠⢶⣄⠀⠀⠈⠛⠀⠀⠀⣺⠓⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣖⡀⣀⣀⡀⠀⠈⠉⠉⠀⠀⣀⣀⣀⠀⣲⣯⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⡆ ⢻⡈⠻⣦⣀⣀⣀⣀⣀⠀⠀⠀⠁⣴⠟⠉⠁⠀⠉⠛⢦⡀⢀⡴⠛⠉⠁⠈⠙⠻⣄⠀⠁⣀⣠⣤⣤⣤⣤⡤⠖⠋⣸⠇ ⡿⠳⣤⣀⡀⠀⠀⠉⠉⠉⠳⢦⣼⠃⠀⠀⠀⠀⠀⠀⠀⠿⠋⠀⠀⠀⠀⠀⠀⠀⠹⣦⡞⠉⠀⠀⠀⠀⠀⢀⣠⠶⢻⡆ ⠻⣦⣀⠀⠀⠀⡴⠶⢦⡀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⡴⠚⠳⡄⠈⢉⣀⣠⡾⠁ ⠀⠸⣍⣉⣁⡀⣇⠀⠀⠑⠀⢠⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢷⡀⠀⠓⠀⢀⡇⢤⣈⣭⠿⠁⠀ ⠀⠀⠀⠙⠷⠤⠿⠶⠦⠶⠞⠋⠘⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠈⠻⠦⠴⠖⠻⠶⠶⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⡀⢀⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏾⬜⬜🏾⬜⬜🏾⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏾⬜🏾⬜🏾⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🏾🏾🏾⬜⬜🏾🏾🏾🏾🏾🏾🏾⬜⬜🏾🏾🏾⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏾🟧🟧🟧🏾🏾🟧🟧🟧🟧🟧🟧🟧🏾🏾🟧🟧🟧🏾⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🏾🟧⬜🟧🏾🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🏾🏾⬜🟧🏾⬜⬜⬜⬜ ⬜⬜⬜⬜🏾🟧⬜🏾🟧🟧🏾🟧🟧🟧🟧🟧🟧🟧🏾🟧🟧🏾⬜🟧🏾⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏾🏾🟧🟧🏾🟧🟧🟧🟧🟧🟧🟧🟧🟧🏾🟧🟧🏾🏾⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🏾🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🏾⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏾🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🏾⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏾🟧🟧🟧🟧⬜⬛🟧🟧🟧🟧🟧⬛⬜🟧🟧🟧🟧🏾⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🏾🟧🟧🟧🟧🟧⬛⬛🟧🟧🟧🟧🟧⬛⬛🟧🟧🟧🟧🟧🏾⬜⬜⬜⬜ ⬜⬜⬜⬜🏾🟧🟧🟧🟧🟧⬛⬛🟧⬜⬜⬜🟧⬛⬛🟧🟧🟧🟧🟧🏾⬜⬜⬜⬜ ⬜⬜⬜⬜🏾🟧🟧🟧🟧🟧🟧⬜⬜🏾⬜🏾⬜⬜🟧🟧🟧🟧🟧🟧🏾⬜⬜⬜⬜ ⬜⬜⬜⬜🏾🟧🟧🟧🟧🟧⬜⬜⬜⬜🏾⬜⬜⬜⬜🟧🟧🟧🟧🟧🏾⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏾🟧🟧🟧🟧⬜⬜⬛⬜⬛⬜⬛⬜⬜🟧🟧🟧🟧🏾⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏾🟧🟧🟧🟧🟧⬜⬜⬛⬛⬛⬜⬜🟧🟧🟧🟧🟧🏾⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🏾🟧🟧🟧🟧🟧⬜⬜⬜⬜⬜🟧🟧🟧🟧🟧🏾⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🏾🏾🟧🟧🟧🟧⬜⬜⬜🟧🟧🟧🟧🏾🏾⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🏾🟧🟧🏾🏾🟧🟧🟧🟧🟧🟧🟧🏾🏾🟧🟧🏾⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏾🟧🟧🟧🟧🟧🏾🏾🏾🏾🏾🏾🏾🟧🟧🟧🟧🟧🏾⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🏾🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🏾⬜⬜⬜⬜ ⬜⬜⬜⬜🏾🟧🟧🟧🟧🏾🟧🟧⬜⬜⬜⬜⬜🟧🟧🏾🟧🟧🟧🟧🏾⬜⬜⬜⬜ ⬜⬜⬜🏾🟧🟧🟧🟧🏾🟧🟧⬜⬜⬜⬜⬜⬜⬜🟧🟧🏾🟧🟧🟧🟧🏾⬜⬜⬜ ⬜⬜🏾🟧🟧🟧🟧🟧🏾🟧⬜⬜⬜⬜⬜⬜⬜⬜⬜🟧🏾🟧🟧🟧🟧🟧🏾⬜⬜ ⬜⬜🏾🟧🟧🟧🟧🏾🟧🟧⬜⬜🟪🟪⬜🟪🟪⬜⬜🟧🟧🏾🟧🟧🟧🟧🏾⬜⬜ ⬜🏾🟧🟧🟧🟧🏾🟧🟧⬜⬜🟪🟥🟥🟪🟥🟥🟪⬜⬜🟧🟧🏾🟧🟧🟧🟧🏾⬜ ⬜🏾🟧🟧🟧🟧🏾🟧🟧⬜⬜🟪🟥🟥🟥🟥🟥🟪⬜⬜🟧🟧🏾🟧🟧🟧🟧🏾⬜ ⬜🏾🟧🟧🟧🏾🟧🟧🟧⬜⬜🟪🟥🟥🟥🟥🟥🟪⬜⬜🟧🟧🟧🏾🟧🟧🟧🏾⬜ 🏾🟧🟧🟧🟧🏾🏾🏾🏾🟧⬜⬜🟪🟥🟥🟥🟪⬜🟧🟧🏾🏾🏾🏾🟧🟧🟧🟧🏾 🏾🟧🟧🟧🟧🏾🟧🟧🟧🏾🟧⬜⬜🟪🟥🟪⬜⬜🟧🏾🟧🟧🟧🏾🟧🟧🟧🟧🏾 🏾🟧🟧🟧🏾🟧🟧🟧🟧🟧🏾🟧⬜⬜🟪⬜⬜🟧🏾🟧🟧🟧🟧🟧🏾🟧🟧🟧🏾 🏾🟧🟧🟧🏾🟧⬜🟧⬜🟧🏾🟧⬜⬜⬜⬜⬜🟧🏾🟧⬜🟧⬜🟧🏾🟧🟧🟧🏾 🏾🟧🟧🟧🏾⬜⬜⬜⬜⬜🏾🟧🟧⬜⬜⬜🟧🟧🏾⬜⬜⬜⬜⬜🏾🟧🟧🟧🏾 ⬜🏾🏾🏾🟧⬜⬜⬜⬜⬜🟧🏾🟧🟧🟧🟧🟧🏾🟧⬜⬜⬜⬜⬜🟧🏾🏾🏾⬜ ⬜⬜⬜🏾🟧🟧⬜⬜⬜🟧🟧🏾🟧🟧🟧🟧🟧🏾🟧🟧⬜⬜⬜🟧🟧🏾⬜⬜⬜ ⬜⬜⬜🏾🟧🟧🟧⬜🟧🟧🟧🏾🏾🏾🏾🏾🏾🏾🟧🟧🟧⬜🟧🟧🟧🏾⬜⬜⬜ ⬜⬜⬜🏾🟧🟧🟧🟧🟧🟧🟧🏾⬜⬜⬜⬜⬜🏾🟧🟧🟧🟧🟧🟧🟧🏾⬜⬜⬜ ⬜⬜⬜⬜🏾🏾🟧🟧🟧🏾🏾⬜⬜⬜⬜⬜⬜⬜🏾🏾🟧🟧🟧🏾🏾⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🏾🏾🏾⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏾🏾🏾⬜⬜⬜⬜⬜⬜

⠀⢀⠤⣀⣀⣴⣶⣔⢂⠀⠀ ⠀⠸⠀⠀⠀⠻⠿⢿⣿⡇⠀ ⢀⣸⠀⡀⠀⠀⠀⢠⠀⣗⡂ ⠀⢚⣄⡁⠀⠛⠀⢀⡰⢷⠀ ⠀⢠⢎⣿⣿⣭⣽⣿⡄⠜⠀ ⠀⠘⢺⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠐⠤⠤⠼⠤⠤⠄⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢊⡽⣿⣿⣦⠤⢠⣤⣤⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢄⡀⠀⡜⢁⠔⢋⠸⠀⡙⣧⣚⠋⠚⢟⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠽⠭⣿⣾⠃⠜⡔⠁⠀⠀⠈⢣⠀⠑⢆⡝⠁⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠻⣿⡇⢰⠀⠀⠀⠀⠀⠀⢃⠀⠈⣿⣿⠮⢿⡄⠀⠀ ⠀⠀⠀⠀⣸⢿⡀⡠⢤⡄⠀⠀⠀⠀⠀⠀⢸⠀⠀⢰⢸⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⡿⡄⢀⠸⠄⣀⠀⠀⠀⠀⡌⠀⠀⡸⠘⡟⡆⠀⠀⠀ ⠀⠀⠀⠀⢿⣁⣀⣈⡎⠀⠑⢄⠈⠉⢁⠜⡓⠀⡨⢡⠤⣶⡇⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⠟⠑⠄⣀⠀⠈⠉⣑⠢⡞⠁⢀⠜⣀⡿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠳⢷⣶⣆⣀⡀⡤⠒⡲⠈⣍⣀⣼⠋⠀⠈⠱⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠎⠀⠓⢌⡀⡎⠀⢠⠃⠀⠀⡰⠄⠧⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡁⠀⠰⢄⡀⠀⠉⠀⠁⠀⠀⡰⠁⠀⠀⣹ ⠀⠀⠀⠀⠀⠀⠀⣸⢿⢿⠷⠀⠀⠀⠈⠒⠤⣀⠀⢀⠜⠁⠉⠙⡍⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣷⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣿⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⠀⠀⣤⠀⠀⠀⠀⠀⢀⡠⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠻⠀⠀⠗⢒⠖⠒⢲⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⡷⡇⠀⢠⠀⡌⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⣀⠀⢠⣇⢰⠀⠀⢸⡜⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣛⡂⠐⡟⠟⠟⠋⡜⠀⠀⢸⠀⠀⣸⡀⣀⣀⣀⣀⣀⡀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠋⠉⠉⠉⠛⢷⣦⡀⠀⠀ ⠀⠀⠀⣼⡇⠀⢠⣞⠛⡟⠛⠛⢿⣄⠀ ⠀⣴⠶⣿⠀⠀⢸⣏⠂⠤⠤⠔⠒⣿⠀ ⢰⡇⠀⣿⠸⠀⠀⠛⠷⠶⠶⠶⢿⣧⠀ ⠀⣇⠀⣿⠀⢃⠀⠀⠀⠀⠀⠀⣸⣿⠀ ⠰⣿⠀⣿⠀⠀⠢⠀⠀⠀⠠⠊⢸⣿⠀ ⠀⢿⣤⣿⡇⠀⠀⣤⣤⣤⠤⠀⢸⡟⠀ ⠀⠀⠀⢹⡇⠀⠀⣿⡇⣿⠀⠀⣸⡇⠀ ⠀⠀⢴⣾⣿⠿⢿⣻⣽⣽⣛⣛⢻⣷⡆ ⠀⠀⠀⠈⠉⠉⠐⠒⠒⠚⠋⠉⠉⠁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⣾⡿⠟⠛⠉⠁⠀⠀⠀⠉⠙⠻⢿⣿⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⡀⠀⠀ ⠀⣰⣿⡿⠃⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠘⣿⣿⡀⠀ ⢠⣿⡟⠀⠀⠀⠀⢀⣤⣤⣾⣧⣀⣀⠀⠀⣀⣤⣴⣿⣄⣀⠀⠀⠀⠀⠸⣿⣷⠀ ⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄ ⣿⣿⠀⠀⠀⢀⣀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⢰⣦⡀⠸⣿⣇ ⢹⣿⠀⠀⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡟⠇⠀⣿⣿ ⢸⣿⡆⠀⠁⠘⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠀⠀⠀⣼⣿ ⢸⣿⣇⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⢠⣿⡏ ⠀⢿⣿⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⣰⣿⡿⠀ ⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠙⠳⢶⣤⣤⣤⣤⣴⣶⠟⣏⢹⡀⠀⢀⣼⣿⡿⠁⠀ ⠀⠀⠀⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⢸⠀⢸⠀⣇⣴⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⢸⣆⣈⣼⣿⡟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⠿⠿⣿⣿⠿⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢤⠤⠤⠤⡤⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠠⠒⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⡄⠀⠀⠀⠀ ⠀⠀⡜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠉⢆⣀⠀⠀ ⠀⡞⠀⠀⠀⠐⠂⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡔⢈⠀⠀⠀⠈⡿⠀⠀ ⡞⡅⠀⠀⠀⣰⠭⠀⢀⣑⡄⠀⠀⠀⠀⠀⠀⣐⣁⠀⠤⠌⡄⠀⡶⠁⠀⠀ ⠈⠚⡀⠀⠀⢯⠤⠀⠐⢒⠇⠀⠀⠀⢱⠀⠀⠻⡒⠒⠒⠲⢃⠜⠀⠀⠀⠀ ⠀⠀⠈⠒⢄⠀⠑⠒⠒⠉⠀⠀⠀⡠⠥⡵⠀⠀⠈⠡⢽⢲⣁⢢⣀⠴⣦⠴ ⠀⠀⠀⠀⠀⠉⠒⠠⠀⣀⣀⠀⠀⠀⠀⣀⣀⣴⣾⣇⣿⡼⣿⡞⣿⠚⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠈⠹⢧⡀⠾⡿⠿⠋⢹⡜⣷⡹⢿⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠰⣀⠀⠀⠙⠻⡷⡶⢿⠿⡉⠪⠜⠚⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡬⠤⠊⠈⠑⠢⢄⣸⡀⣸⡿⡐⢩⢷⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠈⠓⢾⠃⠀⠋⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⡠⡤⠖⠊⠌⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢰⠇⢡⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡔⠓⠢⠤⠤⠼⠀⠸⠒⠒⠚⠉⠑⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠐⠂⠘⠤⠀⠀⠤⠄⠚⠀⠈⠒⠠⠤⠄⠅⠃⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⢊⣥⠶⣛⡙⡆⠈⢢⡀⠀⠀⠀⠀⠀⣀⠤⠤⠤⣀⠀⠀⠀ ⠀⢠⣤⠀⣮⡀⢿⣷⠖⠋⠉⠓⣆⠀⢳⠀⠀⢀⣴⣿⣷⠖⢲⣤⡀⠑⢆⠀ ⠀⠘⡌⢣⠘⠽⠟⠁⠀⠀⠀⠀⠸⠖⢋⠁⠉⠩⢝⡿⠚⠙⠳⣿⣍⡀⠀⢧ ⠀⠀⢹⠚⠁⠈⠉⠉⠁⠒⠤⡐⢱⣾⠤⣄⣤⣤⠀⠃⠀⠀⠀⠈⠻⢧⣿⡞ ⠀⠔⠁⠀⠀⠀⠀⠀⠀⠀⡰⠀⠻⣸⣿⡍⣶⠼⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠈⠉⠛⢁⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣯⣷⣿⣷⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⠟⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠆⠀⠀⠀⡀⠀⠀⠀⠉⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠈⢲⠀⠤⠤⠤⠐⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠘⠀⠀⠀⠀⢸⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⡇⠀⠀⠀⠀⠀⣿⠀⢸⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣿⡀⢸⡆⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣣⠀⡆⠀⠀⢰⡇⠑⣼⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣷⠅⠀⠐⠚⢧⢀⣾⡃⠀⠀⠀⠈⠒⠤⢄⠀⠀⠀⠀⠀⠀ ⠘⡄⠀⣸⣄⡠⠃⠀⠀⠀⠀⠀⢹⢿⠀⠀⠀⠀⠰⡄⠸⣶⡇⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠀⡇⠀⣴⠀⠀⢸⡀⢀⡏⠉⠐⠂⠐⠊⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠒⠉⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡒⠶⠋⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢍⠙⠲⢤⡀⠀ ⠀⠀⢠⠗⠀⠀⣠⠽⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠉⠛⠿⣶⣤⣤⣤⣤⣀⣀⣀⣀⣠⡶⠛⠉⠙⠻⣆⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⢱⡄ ⠀⠀⠘⠛⠛⠦⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠛⠛⣿⠋⠀⠀⠀⠀⠀⢹⣿⠿⠟⠛⠛⠛⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⣰⡾⠷⣦⣤⣿⡀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⡖⠶⠖⠚⠁⠀⠀⠀⣰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⠀⠀⠘⣿⣤⣾⠛⠉⠉⠙⢷⣄⣀⣀⣸⣿⠀⠀⠀⠀⠘⠦⣄⣀⣀⣀⡤⠞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⠀⠀⠘⢻⡇⠀⠀⠀⠀⢸⣿⠛⠛⠛⠿⣧⡀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⣷⡀⠀⠀⢀⣼⠟⣿⡄⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢿⡟⠿⠶⠟⠁⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⢿⡿⠶⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⡀⢀⣠⣾⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⢰⣿⣱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⠉⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠿⠻⣿⡛⠃⣀⣀⣀⡘⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⠀⠠⠶⢶⣿⣷⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡿⠋⠉⢉⠛⣶⡀⠀⠀⠀⠀⠀⣰⠖⠲⢦⠀⠀⠀⠀⠀⢸⠷⡾⠧⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠿⠛⣿⡁⠘⢍⠶⠀⢸⣇⠀⠀⠀⠀⠀⠉⠓⠶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⡟⠋⣉⠙⠋⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢹⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡾⠟⠻⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⢠⢂⡆⠀⠀⠀⠀⠀⠀⠀⠀⣙⠃⠀⠀⣀⣿⠿⠛⠛⢿⣶⣶⣶⣶⣶⣶⣶⣶⡶⠿⠟⠛⠁⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⣀⡀⠀⠀⢀⠀⠀⡀⡪⡅⠀⢈⣢⣾⠟⠁⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⣇⠀⠀⠙⠃⠈⠀⠉⠀⢸⡟⠉⠁⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣠⢶⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠈⠄⢀⣠⣼⡟⠀⠀⠀⠀⠀⠀⣠⡿⣧⡀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⠙⠛⠃⠈⣷⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⢶⣤⠶⠞⠋⠁⠸⣷⡀⠀⠀⠀⣠⣾⠟⠀⠘⣷⠀⠀⣀⣤⣴⣶⡾⠟⠻⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠆⠀⠀⠀⣀⣹⡗⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⠀⠀⠀⠠⣿⠤⠀⠀⢰⣀⣠⣬⣿⣿⣿⡟⢫⠁⡌⡅⢀⣿⠾⠟⠛⠉⠁⢿⡇⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⢰⣯⣤⣤⣀⢸⡏⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠑⠂⠙⣦⠀⠀⠀⠀⠀⢻⣦⠀⠀⢠⡟⠁⠀⠀⠀⠙⣷⡄⠉⠈⢠⣾⠃⠀⠀⠀⠀⠀⣼⣿⣶⣶⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣧⣤⣶⣶⣛⣁⠀⠀⠀⠀⠀⠉⠛⠶⣿⠁⠀⡐⢡⠉⠆⢹⡟⠛⠚⠛⠁⠀⠀⠀⠀⠠⣾⠋⢈⠉⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢼⣋⠳⣤⠖⠋⣁⣤⣄⡉⠛⢦⡀⠀⠀⠀⠀⠀⠘⢷⣀⠈⠒⠙⢁⣾⡷⠿⢦⡴⠿⢦⡴⠿⣦⣤⠿⠷⠟⠷⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⢻⡏⢠⠎⠡⣷⠠⣈⢧⠈⢷⠀⠀⠀⠀⠀⠀⠀⠙⢻⡟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡅⢸⡀⠀⠘⠋⠛⢸⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⣀⣀⣀⡀⢀⠀⣀⣀⣀⣴⣿⣥⣤⣤⣴⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢷⡀⠳⢤⣀⣠⠴⠋⣠⣋⣻⠄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⢉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⢉⡶⢤⣤⣤⠴⠞⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠈⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠂⠉⠁⠀⠈⠐⠄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⡾⡆⡰⠛⠁⣀⡜⡇⠀⠀⠱⠀⠐⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠓⠛⠒⠤⢤⣭⣉⣓⡂⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⢌⡉⠉⠉⠐⠓⢿⠗⠠⠀⠀ ⠀⠀⠀⢀⣤⡼⠗⠒⠖⠀⠠⠤⢄⣀⠄⡈⠀⠀⠀⠀⠀⠡⡀⠀⠀ ⣴⣇⣒⣾⠟⠀⣠⣖⣨⡄⠀⡠⠊⣀⠈⢣⠡⡀⠀⠀⠀⠀⠱⠀⠀ ⠀⠀⠀⢿⣠⡀⠉⠿⣏⡁⣰⠀⣾⣧⡄⠀⡃⣣⠤⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠭⡤⢋⡉⠉⠺⠧⠈⠉⠀⠔⡰⠋⠓⠂⠤⠌⣐⢢⡀ ⠀⠣⡀⠀⠀⢠⡀⠚⠃⠙⠃⠈⠁⠒⠂⠉⠀⠀⠀⠀⠀⠀⠀⡝⠀ ⠀⠀⠑⠄⡀⠀⠈⠲⠶⠤⠤⠤⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀ ⠀⠀⠀⠀⠈⠐⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠒⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣠⣿⢿⠿⢿⣧⣐⡒⠒⠀⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⡂⠴⡲⣩⡏⠁⠸⠇⠀⠀⠀⣌⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣷⣀⣁⣹⢿⡇⠀⠀⠀⠀⠀⠀⢹⣷⣶⣿⡉⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠧⢤⣀⢀⡀⡀⠦⢉⣽⡟⣿⠳⣄⠐⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣹⡷⣾⣻⠏⠹⣳⣴⣪⡟⡇⣼⣖⣨⡠⢴⡤⢄⠀⠀ ⠀⠀⠀⠀⣰⣿⣧⣼⣿⣿⣿⣿⣶⣧⣿⣿⣍⣿⣿⣟⡏⠘⠉⢆⠀ ⠀⠀⠀⠰⠡⠺⣿⠿⠿⣿⢿⡟⠉⠉⢹⣿⣿⢿⠉⢿⠀⠀⠀⠈⡇ ⠀⠀⠀⠀⠀⣰⢿⣶⣀⣿⡀⣷⠶⠒⣮⣿⣿⣎⣇⠀⡆⠀⠀⢀⡇ ⠀⠀⡠⠒⠈⣉⠤⢂⣠⢿⡿⠃⠀⠈⠩⢻⡉⠉⠉⠛⠓⠚⠉⠉⠀ ⠀⣾⣆⣔⠉⠀⠀⣱⣶⣿⡇⣠⣶⣦⣠⣂⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠛⠛⠛⠓⠛⠋⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⣀⢀⣠⣤⠴⠶⠚⠛⠉⣹⡇⠀⢸⠀⠀⠀⠀⠀⢰⣄⠀⠀⠀⠀⠈⢦⢰⠀⠀⠀⠀⠀⠈⢳⡀⠈⢧⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠀⡏⠀⢰⠃⠀⠀⠀⣿⡇⠀⢸⡀⠀⠀⠀⠀⢸⣸⡆⠀⠀⠀⠰⣌⣧⡆⠀⢷⡀⠀⠀⣄⢳⠀⠀⢣⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠘⠀⠀⠀⢀⣿⣇⠀⠸⡇⣆⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⢹⣾⡇⠀⢸⢣⠀⠀⠘⣿⣇⠀⠈⢧⠀⠀⠘⠀⢠⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⠀⡀⠀⠀⠀⢸⠈⢻⡄⠀⢷⣿⠀⠀⠀⠀⢹⡏⣇⠀⣀⣀⠀⣿⣧⠀⢸⠾⣇⣠⣄⣸⣿⡄⠀⠘⡆⠀⠀⠀⠀⠆⠀ ⠀⠀⠀⠀⠀⣾⢿⠀⠇⠀⠀⠀⢸⠀⠀⢳⡀⢸⣿⡆⠀⠀⠀⣬⣿⡿⠟⠋⠉⠙⠻⣽⣀⡏⠀⠙⠃⢹⡙⡿⣷⠀⠀⢹⠀⠀⠀⠀⠰⠒ ⠀⠀⠀⠀⢸⣿⣿⣇⢸⠀⠀⠀⢸⣦⣤⡀⣷⣸⡟⢧⣀⡴⠶⠿⠻⡄⣀⣤⣴⡾⠖⠚⠿⡀⠀⠀⠀⠈⣧⠁⠹⠆⠀⠀⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⢸⣀⣼⣿⣼⡆⠀⢀⡘⡇⠀⠀⠹⡟⢷⡜⢉⣠⣠⣠⣀⣤⡿⣛⣥⣶⣾⡿⠛⠿⠿⣶⣦⡤⢹⠀⢀⠀⠀⠀⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⢸⢸⡛⠁⠀⠙⢿⠋⠉⠉⠻⠀⠀⠀⢿⣄⠈⠁⠀⠀⠀⢉⢟⣴⡿⠿⠟⢁⠇⠀⠀⠀⠀⠹⣿⠻⡇⢸⠀⠀⠀⠈⣷⠀⠀⠀⠀ ⠀⣀⣀⣘⣿⡇⠀⢀⣠⣤⣶⣶⣶⣾⣦⡀⠀⠈⡿⠀⠀⠀⠀⠀⠀⣿⠟⠳⠦⡤⠊⠀⠀⠀⠀⠀⣸⠇⠀⡇⣼⠀⢰⠀⠀⢹⣇⠀⠀⠀ ⠛⠁⠈⣿⣷⣧⣴⣿⠿⠛⣿⠿⣿⣿⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣠⣴⣶⠿⠿⠿⡷⢛⠕⠷⡄⣧⣿⠀⢸⠀⠀⠸⣿⡄⠀⠀ ⠀⠀⢠⣿⢿⣿⣿⠁⠀⠀⠈⠳⠤⠶⠃⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠟⣱⠒⡠⢆⡴⣣⣯⢞⣴⡟⢿⡄⡏⠀⠀⠀⡏⢷⡀⠀ ⠀⠀⡌⣿⠀⠙⣿⡦⢀⣤⡴⣶⠖⣲⠆⢀⠞⠁⠱⠀⠀⠀⠀⠀⠠⣾⠟⠛⡡⠞⠁⢀⡴⢋⢎⣽⡿⣫⠋⠀⠘⢷⠃⡄⠀⠀⡇⠈⣿⡀ ⠀⠀⣇⢹⣦⠀⠼⢃⡾⢋⣶⢃⡼⣹⡳⠃⠊⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠠⠋⠀⡰⠋⠀⢘⣇⡇⠀⢠⠟⠀⡇⠀⠀⠀⠀⢹⡵ ⠀⠀⢻⣌⢿⡆⠀⡝⣼⠟⣩⢏⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠈⠀⣠⠏⣠⣾⡇⠀⠀⠀⠀⠘⣷ ⡀⠀⢸⣿⣿⣷⠆⢠⠏⡴⠃⡡⠋⠀⠀⠀⠀⠀⠀⣀⣠⠤⠔⠒⠤⣄⣀⠀⠀⢀⣰⠏⠀⠀⠀⠀⢀⣠⡾⠗⠋⢰⠏⡇⠀⠀⠘⠀⠰⢻ ⣇⠀⠘⣿⣿⣟⠻⣄⡞⠀⠐⠁⠀⠀⠀⠀⠀⣠⠞⣩⣤⣶⣶⣾⣷⣶⣬⣿⣿⣿⡏⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⢸⡆⡇⠀⠀⠀⠀⠀⠀ ⠹⡄⠀⠹⣿⣿⡄⠀⠉⠉⠀⡀⠀⠀⠈⢻⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⣧⠀⠀⠀⠀⠀⠀ ⠀⣿⢦⣀⠘⢿⣷⡀⠀⠀⡀⢦⠀⠀⠀⠀⠹⣿⣿⠏⠙⢻⣿⡿⠛⠉⠀⠸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠀⠀⡆⠀⠀⡀ ⢼⣿⠀⠈⢳⣤⣉⣻⣤⣀⣉⣩⠆⠀⠀⠀⠀⠹⡿⠀⠀⠈⡿⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠓⠂⠀⣠⣾⣿⣿⡿⢿⡄⠀⣧⠀⠀⠹ ⣾⠃⠀⣠⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⡇⠀⠀⢠⠴⣿⡄⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⣧⣀⠧⣰⣻⢄⠀⠀ ⠛⠶⢾⣿⣽⣭⣽⣭⢹⣷⠀⢹⣦⣀⠀⠀⠀⠀⡄⠀⠀⣸⡀⠀⠀⠁⣰⣧⣽⠀⠀⠀⠀⢀⣴⣾⣿⣿⡟⣻⣿⣿⣿⣿⢠⣿⣧⡸⣷⣄ ⠀⠀⠀⠈⠙⠿⣿⣿⣿⠏⠀⣾⣿⣿⣷⣦⣀⠀⢇⠀⠀⠈⠁⠀⣠⠔⠁⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⣼⣿⠏⣷⡈⠉ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣾⣿⣿⣿⣿⣿⣿⣷⣾⡆⠀⠀⠀⡾⠁⠀⠀⠀⣀⡴⠞⠛⣛⣿⡿⠿⠛⠛⠉⠉⠀⠀⠀⢰⣿⡿⠂⠈⠻⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢎⠉⠛⠻⠿⠿⠿⠿⠿⣇⠠⠸⣇⣀⣤⣴⣾⡭⠶⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠇⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣤⡀⠀⠀⠀⠀⠀⠈⣳⠀⣿⠛⠻⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡯⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿ ⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿

⋆｡‧˚ʚ🍓ɞ˚‧｡⋆‧₊˚🖇️✩ ₊˚🎧⊹♡✮ ⋆ ˚｡𖦹 ⋆｡°✩˖⁺‧₊˚♡˚₊‧⁺˖✩₊˚.⋆☾⋆⁺₊✧₊ ⊹𔓘๋࣭ ⭑༘⋆🌷🫧💭₊˚ෆ🎸⋆⭒˚｡⋆☆ ★ ✮ ★ ☆⋅˚₊‧ ୨୧ ‧₊˚ ⋅˚ ༘ ೀ⋆｡˚୭ 🧷 ✧ ˚. ᵎᵎ 🎀˙✧˖° 🫧 ⋆｡˚꩜*ੈ♡⸝⸝🪐༘⋆𓍢ִ໋🌷͙֒ ᰔᩚ𓍢ִ໋🌷͙֒✧˚ ༘ ⋆｡˚♡໒꒰ྀིっ˕ -｡ ꒱ྀི১𖦹 ׂ 𓈒 🐇 ／ ⋆ ۪‧₊˚ ☁️⋅♡𓂃 ࣪ ִֶָ☾.୭ 🧷 ✧ ˚. ᵎᵎ 🎀-ˋˏ✄┈┈┈┈✩°｡ ⋆⸜ 🎧✮☆⋆｡𖦹°‧★⋆˚🐾˖°𓍢ִ໋🌷ֶָ͙֢֒₊˚⊹♡☃︎°❀⋆.ೃ࿔*:･ﮩ٨ـﮩﮩ٨ـ♡ﮩ٨ـﮩﮩ٨ـ✩₊˚.⋆☾⋆⁺₊✧⋆˚✿˖°

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠈⣿⣿⠈⢿⣿⣿⣿⣿⣿⡿⠀⢸⡇⠀⡏⠀⠀⡇⠀⠀⣷⠀⢻⡄⢹⣿⣿⣿⡿⠏⠉⠙⢿⣷⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣿⣿⡀⠀⠙⠻⣿⣿⣿⡇⠀⢸⠁⠀⡇⠀⠀⡇⠀⠀⣿⠀⠈⣷⣾⣿⣿⠛⠋⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣀⣻⣿⣿⣦⡀⠀⢸⣿⣿⣿⣶⣾⣤⣴⣧⣀⣀⣇⣀⣠⣿⣶⣶⣿⣿⣿⠃⢠⣶⣶⣦⣀⣴⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣷⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣰⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⠿⣿⣿⣿⣿⣿⣿⣷⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠟⠁⠀⢠⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⠟⠁⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠻⠭⠉⠓⠀⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠋⢰⣶⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⣦⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣇⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣄⣸⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠨⣍⣻⣿⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⠟⢻⣿⣿⠇⣰⣿⣿⣿⠋⢹⣿⣿⣿⣿⣿⣿⣿⣠⣿⣿⣿⣷⠀⠀⠀⠀⠈⣿⡟⠉⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⢺⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⢰⣿⠏⢀⣼⠟⠁⢰⣿⢋⡿⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⢀⣿⢣⣾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣆⠀⠀⠀ ⠀⢀⣿⡏⠀⣿⣿⣄⠀⢹⣷⡾⠁⠀⢻⣾⣿⣿⣿⠟⠛⢻⣿⡇⢸⣿⡇⠀⠀⠀⠀⠀⠘⣯⣾⣿⣿⣿⣿⣿⣿⡟⣿⣧⡀⠀⠀⠀⠀⠀⢀⣸⣿⢸⣿⠛⣿⣆⠀⠀ ⠀⣼⣿⣷⣶⣿⣿⠇⠀⢸⣿⠃⠀⣸⣿⣿⡿⠋⠀⠀⠀⠘⣿⣷⣿⣿⠇⠀⠀⠀⠀⠀⠀⢹⣿⡏⠀⠈⠙⠻⣿⣇⣿⣿⣿⣿⣆⠀⠀⠀⣿⣿⠟⢸⣿⡇⣿⣿⡄⠀ ⢠⣿⡟⠋⠉⠉⠉⠀⠀⣾⡏⠀⠀⣿⣿⠏⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠈⠻⣿⣿⢻⣿⠇⠀⠀⠀⢻⣿⣄⣸⣿⠃⣼⣿⣧⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⣿⠀⣄⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⠀⠀⠀⠀⠀⠀⢹⣿⣸⡿⠀⠀⠀⠀⠀⠹⣿⣿⣿⠀⠘⣿⣿⠀ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⣿⣷⡀⠀⠀⠀⢸⡏⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⡏⠀⢰⣿⣿⠀ ⣿⣿⣷⣶⣶⣤⠀⠀⠀⣿⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⣿⣿⠃⠀⠀⠀⢸⡇⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⣿⠃⠠⡄⣿⣿⠀ ⣿⡏⢸⣿⣿⣿⠀⠀⠀⣿⣤⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⠈⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⢹⣿⣿⠀ ⢿⣿⣿⣿⣿⠟⠀⠀⢀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣤⣶⣤⡄⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⣀⡀⠀⢀⣴⡟⠀⠀⠘⣮⣿⡿⠀ ⢸⣿⣿⣅⡀⠀⠀⠀⠸⣿⡟⠻⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⢹⣿⣿⠀⠀⠈⣿⡆⠀⠀⠀⠀⢀⣾⠏⠀⠀⣾⠿⣿⣷⣿⡟⠀⠀⢀⢰⣿⣿⡇⠀ ⠀⣿⣿⠻⣿⣷⣦⠀⠀⢿⣷⣄⣀⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⣾⡟⠁⠀⠀⠀⣏⠙⡄⠀⢀⣴⣿⠏⠀⠀⢸⡏⠀⣸⣿⠏⠀⠀⠀⢀⣿⣿⡟⠀⠀ ⠀⠘⣿⠀⣿⣿⠟⠀⠀⠈⠻⢿⣿⠿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣧⠀⠀⠀⠀⠈⠛⢿⣶⣿⣿⡏⢀⣤⡶⠛⣡⣾⠟⠁⠀⠀⠀⢠⣼⣿⡟⠀⠀⠀ ⠀⠀⠹⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠉⠛⢿⣶⣤⣀⠀⠀⠀⠀⠀⢻⣿⣿⣧⣀⠀⠀⠀⠀⠀⠘⣿⣿⡇⢸⣿⣤⣾⠟⠁⠀⠀⠀⢠⣘⣶⣿⠟⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣧⡀⠀⢀⣤⣤⣀⡀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⣻⣿⣿⣿⣿⣷⣤⣾⣿⡇⠘⣿⣿⣼⠿⠋⠁⠀⠠⣀⢢⡹⣦⣿⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣷⣶⣿⡿⠿⢿⣿⡄⠀⠀⠀⠀⠀⠀⠘⢿⣿⣦⣄⣽⣿⣿⣿⣿⣿⣿⣿⣿⣌⠙⢿⣿⡇⠀⠈⠻⢿⣧⡐⣄⠙⣦⣹⣶⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠿⣿⣇⡀⠀⠻⣧⣤⣴⣶⣦⠀⠀⠀⠀⠈⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠙⠷⣿⣷⠀⠀⠉⠻⢿⣷⣼⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣶⣤⣀⠀⠀⣿⣿⣇⠀⣠⡴⠟⠋⢉⣡⡴⠾⠿⠿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣀⣠⣶⣶⡀⠹⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⠟⠋⢀⣠⠖⠋⠁⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣿⣧⠀⠈⠻⠿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡿⠁⢀⠴⠋⠀⠀⠀⠀⢀⣀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣤⣤⡙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠏⢀⠔⠁⠀⠀⠀⠀⠀⢠⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠙⢿⣿⣿⣿⣿⣶⣾⡿⠉⢹⣿⡌⢿⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⢃⡴⠃⠀⠀⠀⠀⠀⠀⢠⣤⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠸⣿⣿⣿⡄⠀⠙⢿⣿⣿⣿⣿⡇⠀⢸⣿⡇⠈⣿⣿⣿⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣡⠎⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⠛⢿⣿⣿⣿⣿⣿⠆⠀⠀⠈⠻⣿⣿⡄⠀⠀⢻⣿⣿⣿⣷⣄⠘⣿⣿⠀⠀⠀⠘⣿⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⠏⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠏⠀⠀⠀⠙⣿⣿⣿⣿⠀⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⢿⣿⣿⣿⣿⣷⣿⣿⣠⡶⢷⣄⠸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠇⠀⠀⠀⠀⠀⠘⣿⣿⣿⣀⡀⠀⠀⣀⣼⣿⣿⡆⠀⠀⢸⣿⣿⡙⠟⢿⣿⣿⡏⠀⢸⣿⡀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠅⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⠀⠀⠀⠀⠀⠀⠀⢹⣿⠟⢿⣿⣿⠀⣿⣇⣸⣿⡇⠀⠀⣸⣿⣿⢧⠀⠨⣿⣿⣇⢀⣸⣿⡇⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠄⠀⠀⠀⠀⠀⠀⠈⣹⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⣿⣆⢸⣿⡇⠀⠘⢿⣿⣿⣿⠀⢠⣿⣿⣿⠈⡆⠀⠈⢻⣿⣿⣿⣿⣷⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠦⠀⠀⠀⠀⠀⠀⠚⠉⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡟⠁⠀⠀⠀⢻⣿⣿⣤⣿⣿⡿⢸⡆⠀⠀⢈⠳⣿⣿⣿⣿⣿⣿⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣤⡀⠀⠀⠀⠀⠀⠀⣸⠟⢿⣿⣦⡀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⡇⠸⠃⠀⠀⢠⡑⣾⣿⣿⣿⣿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣯⣍⣀⠀⠀⠀⠀⠈⠀⠀⢸⡿⢿⣿⣷⣶⣤⣄⣀⣸⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⡇⠃⠀⠀⠀⢠⡀⠻⣿⣿⣿⣿⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣯⠀⠀⠀⠀⠀⠀⠀⠰⠋⠀⣸⠟⣿⡿⢿⣿⣿⣿⡇⠈⣿⣿⠀⢀⣶⣿⣿⣿⣿⡏⠀⠀⠀⠀⢀⢱⣹⣶⣿⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣶⠶⠖⠀⠀⠀⠀⠀⠀⠋⢠⠟⠀⣼⣿⣿⣿⢁⣼⣿⡿⠀⢸⡇⠀⣿⣿⣿⡁⠀⠀⡀⢰⣸⣾⣿⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣦⣤⣤⡤⠀⠀⠀⠀⠀⠀⠀⢩⣿⣿⡿⢸⣿⠉⠀⠀⣸⣧⢰⣿⣿⣿⡇⣸⣦⣷⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣤⣤⣤⠖⠀⣀⣀⣴⣿⣿⣿⡇⢸⣿⡆⠀⢸⡟⠁⣾⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣀⣼⡿⠁⠀⠈⣿⣤⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⣿⣿⠋⠁⠀⠀⠀⠀⠘⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣷⣄⠀⠀⠀⣀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⣿⣿⠟⠀⢠⣾⠿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⣾⣟⠁⠀⠀⢿⣿⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣷⣿⣿⠀⠀⠀⣀⡆⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠋⠁⠀⠀⠀⢸⣟⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠃⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠿⣿⣷⡀⠀⢀⣀⣀⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⢀⣿⡿⠃⠀⣼⠿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⣿⣏⠀⠀⣴⣿⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣰⣿⣿⡆⠈⣿⡏⢰⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠟⠛⠻⠿⢶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⠟⠋⠀⠀⠈⢷⣿⣿⠁⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⡀⠰⣄⣀⣀⡀⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⢀⣾⠏⢠⣾⣿⣆⢻⣿⣿⣿⣦⣘⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⣀⣴⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣆⠀⠀⠀⠀⢀⣴⣿⡿⠀⠀⠀⢀⣾⠋⢀⣿⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠙⢿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⣿⣦⠀⠀⢠⣿⢿⣿⡇⠀⠀⠀⣼⣿⡶⠟⠁⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⠿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣹⣿⡇⠀⠈⣿⢸⣿⡁⠀⠀⢰⣿⠏⢀⣴⣾⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢀⣿⡟⠁⠀⠀⣿⢸⣿⡇⠀⠀⣿⡿⢰⠋⠁⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣇⣀⣾⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⣿⠃⠀⠀⠀⢿⣾⣿⡇⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠋⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠙⣿⣷⠀⠀⢹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠟⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣧⣀⣀⠀⠀⠀⢹⣿⣧⠀⠀⠙⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣧⠀⠀⢸⣿⣿⣧⠀⢀⣼⣿⡿⠉⠁⠀⠀⠀⠀⠀⢸⣿⡿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡙⠻⣿⣦⡀⠀⣨⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⣀⣚⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⡀⠈⠉⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⢠⣬⣽⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⢶⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣐⣚⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣦⣄⣀⠀⣀⠀⢤⣰⣶⣦⣭⣽⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⣿⣿⡿⠿⠿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠒⠒⠀⠀⠈⠉⠉⠉⠉⠁⠐⠂⠤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⠀⠀⠀⣴⡎⢢⠀⠀⠀⠀⠀ ⠀⠀⡠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣄⣀⣈⣿⠖⣉⣶⣿⣧⡄⠁⠂⡀⠀⠀ ⠀⢰⠁⠀⠀⠀⠀⠀⣸⣶⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⠀⠈⠄⠀ ⠀⠜⠀⠀⠀⣠⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣄⡘⠀ ⢰⠀⠀⢠⠾⢿⣿⡿⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠈⠀⠀⠀⠛⣿⣿⣿⣿⠃⡇ ⢸⣇⡀⢰⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡄⠀ ⢸⣿⣧⣸⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡟⡇ ⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠇ ⠀⣿⣿⣿⣿⡏⠀⠀⠠⠤⡶⠾⠿⠿⠷⠀⠀⠀⠀⠀⠀⠀⠤⠾⠷⡄⣿⣿⡌⠀ ⠀⢹⣿⣿⣿⡇⠀⠀⠀⠈⡤⣶⣲⠖⠀⡀⠀⠀⠀⠀⠀⡠⣴⡖⢦⡀⣏⢛⠃⠀ ⠀⠘⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣇⡎⠀⠀ ⠀⠀⢹⢯⠛⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀ ⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡀⠀⠀⠀⡀⠅⠂⠀⠀⠁⠀⠀⠀ ⠀⠀⢸⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⢰⣷⣄⣀⠀⠀⠐⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⢀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣿⠿⠛⠋⢀⣙⣛⣻⡇⢀⠁⠀⠀⠀⠀ ⠀⠀⠠⠊⣽⠀⢂⠀⠀⠀⠀⠀⠈⠀⠀⠤⠀⠀⠀⠀⠀⠬⠈⢁⠌⠀⠀⠀⠀⠀ ⠀⢀⠃⠀⠈⠢⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀ ⢰⠁⠀⠀⠀⠀⠀⠈⠢⢵⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀ ⡠⠆⡀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣷⣶⣤⣤⣤⡴⠒⣿⣧⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡉⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⡿⠁⣰⣿⣿⢠⡌⠂⠀⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⠁⠀⢤⣀⠀⠀⠀⠀⠀⢈⠢⠀⢱⠞⠁⠒⣾⣿⣻⠎⠑⠢⢄⠀⠀ ⠀⠀⠁⠀⠀⠐⢁⡁⠨⠛⠃⠢⣤⣄⡀⠥⠆⠸⣀⣀⣠⠀⠙⢿⣷⣦⡀⠀⠈⢂

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟫🟫🟫🟫🟫🟫🟫 ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟧⬜🟫🟩🟩🟩🟩🟩🟩⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟧🟧🟧🟫🟩⬛⬛⬛🟩🟫⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🟧🟨🟧🟨🟧⬛🟩🟩⬛🟫⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🟧🟨🟧🟨🟧⬜🟫🟫⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🟧🟨🟨🟧🟨🟨🟧⬜⬜⬜⬜⬜⬜⬜ 🟧🟧🟧🟧🟧🟧🟧🟨🟨🟨🟧🏻🟨🟨🟧🟧🟧🟧🟧🟧🟧 ⬜🟧🟧🟧🟨🟨🟨🟨🟨🟨🟧🏻🟨🟨🟨🟨🟨🟧🟧🟧⬜ ⬜⬜🟧🟨🟧🟧🏻🏻🟨🟨🟨🟨🟨🟨🏻🟧🟧🟨🟧⬜⬜ ⬜⬜⬜🟧🟨🟨🟧🟧🏻🟨🟨🟨🟨🟧🟧🟨🟨🟧⬜⬜⬜ ⬜⬜⬜⬜🟧🟨🟨🟨🟧🟨🟨🟨🟧🟨🟨🟨🟧⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟧🟨🟨🟨🟨🟨🟨🟨🟨🟨🟧⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟧🟨🟨🟨🟨🟨🟨🏻🟨🟨🟧⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟧🟨🏻🟧🟨🟨🟨🟧🏻🟨🟧⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟧🟨🟨🟧🟨🟨🟨🟨🟨🟧🟨🟨🟧⬜⬜⬜⬜ ⬜⬜⬜⬜🟧🟨🟧🟨🟨🟧🟧🟧🟨🟨🟧🟨🟧⬜⬜⬜⬜ ⬜⬜⬜⬜🟧🟧🟨🟧🟧⬜⬜⬜🟧🟧🟨🟧🟧⬜⬜⬜⬜ ⬜⬜⬜⬜🟧🟧🟧⬜⬜⬜⬜⬜⬜⬜🟧🟧🟧⬜⬜⬜⬜ ⬜⬜⬜⬜🟧⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟧⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦⬜⬛⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦⬜⬛⬜⬛⬛⬜⬜⬛⬛⬛⬛⬛⬜ ⬜⬛⬛⬛⬛⬜⬜⬜⬜⬛🟦🟦⬜⬛⬜⬛⬜⬜⬛⬛⬜⬜⬛⬛⬛ ⬛⬛⬜⬜⬜⬛⬛⬜⬜⬛🟦🟦⬜⬛⬜⬛⬜⬛⬛⬜⬜⬜⬜⬛⬛ ⬛🟦🟦🟦🟦⬜⬜⬛⬜⬛🟦🟦⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬛🟦⬛⬛🟦🟦🟦⬜⬛⬜⬛🟦⬛⬛🟪⬛🟪⬛🟪⬛⬜⬜⬜⬜⬜ ⬛🟦🟦🟦⬛⬛⬛⬛⬜⬛⬛⬛🟪🟪🟪🟪🟪🟪⬛⬜⬛⬜⬜⬜⬜ ⬛⬛🟦🟦🟦🟦⬛🟦🟦⬜⬛⬛🟪🟪🟪🟪🟪🟪⬛🟥⬛⬜⬜⬜⬜ ⬜⬛🟦🟦🟦🟦⬛⬛🟦⬜⬛⬛🟪⬛🟥⬜⬛🟪🟪⬛⬛⬜⬜⬜⬜ ⬜⬛⬛🟦🟦⬛🟦🟦⬛🟦⬜⬛🟪⬛🟥🟥⬛🟪🟪⬜⬛⬜⬜⬜⬜ ⬜⬜⬛⬛⬛🟦🟦🟦⬛⬛🟦⬛🟪⬛🟥🟥⬛⬜⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟦🟦⬛🟦🟦⬛⬛⬛🟪⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🟦🟦🟦⬛⬛🟪🟪⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦⬛⬛⬛⬛🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦🟦⬛⬛⬛🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪⬛⬛🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢐⠛⢉⠋⠑⡢⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡜⠰⢀⣴⣄⣶⠃⠳⠋⣹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⡆⣴⢾⠫⢛⣉⡀⠀⠈⣙⠻⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⣷⠫⡇⠀⢏⣈⠿⠂⠀⡠⠆⣀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⣿⠀⠀⠀⠀⠀⠤⠶⠙⠃⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢧⢸⠐⠗⢄⠀⠀⠀⠀⢀⡀⢴⠁⠀⠀⠀⠀⠀⠀⣀⢰⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠑⣶⣿⣶⣦⣤⡀⠀⢠⣾⡤⠤⠄⠒⠂⠈⣹⣿⠈⣁ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣺⣤⣬⠿⠯⣾⣿⣿⣷⣼⣿⣳⠀⠀⠀⠀⠀⣽⣿⣴⠇ ⠀⠀⠀⢀⣠⢖⣞⣽⡾⡯⠜⢋⡠⠞⠉⠀⢶⣿⣛⢯⢿⣷⣤⣠⣄⣶⣿⣿⣟⡠ ⠀⢀⣴⡿⣿⡍⠻⠒⢈⡤⠂⠁⠀⠀⠀⠀⠘⣿⣿⣿⠻⣟⣻⣿⣿⣿⣿⠋⠁⠀ ⠀⡨⠛⠁⢠⣔⡨⡿⠃⠀⠀⠀⠀⠀⠀⠀⢠⣷⣿⡟⠀⠀⠀⢠⢒⣹⣇⠀⠀⠀ ⠞⠁⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⣽⣿⣕⣤⡀⡌⣿⣿⣿⡄⠀⠀ ⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⡿⣿⣿⣿⣿⣷⣌⣿⣿⣿⣿⠁⠀⠀

⠀⠀⠀⡀⡴⣦⣴⠟⢿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠁⣉⠔⠫⢉⠙⢿⡤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠚⢻⣾⠈⡁⠀⠀⠀⢁⠀⢡⢲⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣵⣁⠵⡀⠀⢀⡠⣔⡘⢠⢺⡄⡤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢘⡯⢁⠢⣈⠁⠀⡈⠖⢁⡼⠛⠆⢔⠰⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡚⠀⡾⠊⣵⣍⠁⠄⠀⠈⠀⠀⠀⠀⠀⠀⢳⠆⠉⠉⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠱⢄⣀⠈⠀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠟⢢⠀⠱⢐⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠆⠀⠊⢀⢴⣤⡄⠀⠀⠀⠀⠀⣀⢘⠀⠀⡆⡠⠄⠀⠗⠃⠈⠉⠉⠀⢢ ⠀⠀⠠⠦⠤⠀⠀⠀⠉⠓⣶⣦⡤⠤⠄⣀⣀⣀⣀⡸⠀⠀⠀⢀⣀⣠⣀⢀⣀⣨

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢤⡖⠦⠀⠀⠴⢒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠺⠃⠁⠀⢀⣀⣀⠀⠀⠈⠐⠝⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⣄⠪⣁⣒⣂⠬⣐⢄⠀⠀⠀⠱⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡁⠀⣀⡺⣵⡟⠛⠉⠙⠻⢦⠑⣢⣄⣀⣀⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡏⢹⠏⠀⣰⣿⣷⠀⠈⡇⢹⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢣⠘⣧⣀⠘⠛⠛⠀⢠⠇⡸⠋⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡈⠻⠦⢤⠤⠜⢃⡴⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠠⣈⠔⠂⠠⠐⠒⢉⠠⠀⠀⠀⠀⣅⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⢸⡳⣀⠀⠀⠈⠉⠔⠒⠐⠮⠁⠀⠀⠀⣠⣼⡿⠤⠀⠀⠀⢀⠀ ⠀⣶⣆⣋⣉⡀⢸⠑⢌⣷⢢⢄⣀⣀⠀⢀⣀⣀⣤⢔⣿⡿⠋⢰⣀⠠⠿⢿⣿⣵ ⢸⣿⣏⠀⠀⠀⠉⡀⠀⠃⠁⠀⠀⠉⠉⠉⠉⠀⠀⠀⢻⠀⠀⡌⠀⠀⠀⠀⠙⣿ ⠘⠻⣷⠄⠀⠀⠀⣇⣀⢸⠀⠀⠀⠀⠐⠂⠀⡀⠀⠀⢸⣀⣰⡅⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢳⡀⠁⠀⠀⠀⠂⠠⠤⠒⠁⠀⠀⠀⠁⣾⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠣⢆⣀⣀⣀⣀⣀⣀⣀⣄⣀⣤⣐⠴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣽⣿⠏⠉⢻⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡆⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠬⠍⠀⠀⠀⠐⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣷⣧⣄⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢈⠘⠿⡛⠉⠲⢮⣿⠆⠀⢰⠀⠀⣰⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⡆⠀⠻⠟⠧⠐⠀⠀⣠⣿⡀⣶⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣶⣼⣀⣀⣨⣴⣾⣿⣿⣷⣌⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⣠⣼⣦⣶⠟⠉⠁⠀⠈⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀ ⠿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⡟⢣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢺⣏⣿⣠⣆⢂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡞⣷⢤⣄⣀⣀⣤⣤⣖⣿⣤⣿⠯⠔⠋⠉⣀⣤⣷⡄⠀⠀⠀⠀ ⠀⠀⢸⣇⠄⠘⠭⠿⠛⠟⠻⢫⡾⠵⢒⣩⣤⣶⣿⣿⣿⣿⣿⣦⠀⠀⠀ ⠀⠀⠀⠙⣿⣷⡶⠖⣲⠃⠉⠉⠉⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀ ⠀⠀⠀⠀⠙⠛⠛⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣟⣥⠲⡍⣥⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠛⠛⠃

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢤⠤⡤⣤⣤⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⢠⢨⠀⠑⡌⠩⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣆⠈⠢⠤⠔⣁⡲⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠋⢀⡀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀ ⠀⠀⠤⠐⣒⠒⡒⢤⣄⣀⣀⣙⣉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠄⡀⡀⠉⢣⣰⠃⠀⠀⢸⣏⣹⠒⣄⠀⠀⠀⠀⠀ ⠀⣀⣠⢡⢡⣆⢾⠇⠀⠀⠀⠈⠪⣿⠂⢸⠀⠀⠀⠀⠀ ⢸⣿⣿⢸⠂⠀⡎⠀⠀⠀⠀⠀⠀⢱⣶⡁⠀⠀⠀⠀⠀ ⠀⠉⢹⢸⠈⡀⠘⡖⠂⠤⠤⠐⢒⡝⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⢸⢸⢠⡇⠀⠣⡄⠀⢴⠫⢥⢃⡀⠀⠀⠀⠀⠀⠀ ⢠⣾⣿⠀⢸⠃⠀⠀⠐⢄⡀⠉⡁⡿⢿⠀⠀⠀⠀⠀⠀ ⠀⠙⠋⢇⠆⢸⠀⠀⠀⢰⡖⠀⠛⢄⡾⠀⡀⢀⠀⠀⠀ ⠀⠀⠀⠈⠘⠁⠀⠀⠀⠈⠚⠉⠙⠋⠁⠈⠁⠉⠉⠀⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⠀⠀⠀⡸⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢰⠀⣆⠸⢶⣸⠱⣻⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠟⠄⠈⠁⠀⠉⠀⠀⠛⢿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣀⠠⠤⠐⠒⠒⠒⠚⠚⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⠁⢀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠊⢉⣿⣶⣿⣿⡿⠿⠿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⢀⡠⠃⠀⣾⣻⡟⠛⠛⡇⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⠊⠀⢀⠞⠀⠹⣿⣤⣼⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠉⠎⠀⠀⢠⠎⢀⣤⣶⠉⠉⠿⢷⢹⠀⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠺⡀⠀⠀⢻⠀⠉⠉⢡⡒⡄⠀⡸⢸⢠⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢃⠀⢀⣾⣧⠀⠀⠈⠑⠓⠈⣠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣶⣯⠀⣿⣷⣶⣤⣄⣤⣊⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⠈⠻⠻⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣧⣀⠀⠀⠀⠛⢿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⠁⠀⠈⠉⠙⠒⠲⠦⠽⢿⣿⢿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⣀⡀⠀ ⢠⠁⡇⢣⠤⠒⠊⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠒⠒⠤⡘⠓⠈⡆ ⠸⣄⡇⠁⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠱⢰⠀⡁ ⠀⠙⠒⠂⠉⠉⠉⠁⠲⠅⡀⠀⠀⠀⠀⠀⣀⠠⠚⠒⠒⠒⠒⠒⠒⠾⠶⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢠⠒⠒⢄⠀⢀⡤⠴⠲⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠣⢄⡀⣱⢯⡀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡜⡁⠀⠉⠒⠤⠤⣤⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠤⡼⠹⠏⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠳⢴⠃⠀⠀⠀⡀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀ ⢠⡼⣍⠇⡇⠀⠀⠀⡰⠁⠀⢀⡠⠔⠣⢄⣀⠀⠀⠀⠀⠀ ⡞⢬⣏⡉⡧⠤⠤⠚⠁⠀⠀⠠⠒⠉⡷⣂⢖⡟⠸⠃⠀⠀ ⠀⠍⠄⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡟⠚⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⢠⣤⢤⡀⠀⢙⣄⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀ ⡏⡇⠺⡧⢊⡥⠒⠓⠦⢄⣀⣀⣀⠀⡔⠁⢀⣤⣄⠀⠀⣄ ⢱⢻⣄⡿⠁⠀⠀⠀⠀⠀⠀⠀⠘⢆⠈⠈⣻⠈⣯⡆⠊⠁ ⠀⠑⠋⠀⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣠⣸⢱⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠃⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢀⠀⠤⠄⠤⠤⠀⡀⠀⠀⠀⡊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⢀⠄⠐⠀⠀⠀⠠⢀⠀⠀⠎⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⠁⠶⠀⠀⠀⠀⢠⡄⠑⠀⠀⠀⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢿⣷⣶⣶⠈⠀⠀⢰⠀⠰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠂⠀⠀⠀ ⠀⠀⠀⠀⡀⠊⡇⠀⠀⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⠀⠀ ⠀⠀⡠⢲⣁⡰⠈⠢⢄⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠜⠂⠈⢀⠀ ⠠⢎⣀⢸⡀⡇⠀⠀⠀⠀⠀⢐⠀⠤⠤⠤⠤⠄⡰⠀⠠⢄⡀⠀⢃

⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🏽⬜⬛⬜🏽⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏽⬛🏽⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛🟨⬛⬛⬛🟨⬛⬛⬜⬜⬜⬜ ⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜ ⬜⬛⬛🟨🟨🟨🟨🏽🏽🏽🟨🟨⬛⬜⬜ ⬛🟨🟨🟨🟨🟨🏽⬜⬛⬜🏽🟨⬛⬛⬜ ⬛🟨🟨⬛⬛🟨🏽⬜⬜⬜🏽🟨🟨🟨⬛ ⬛🟨⬛🏻🏻⬛⬛🏽⬜⬜🟨🟨🟨🟨⬛ ⬜⬛🏻🏻⬛🟧🟧🟧⬛🟨⬛🟨🟨🟨⬛ ⬜⬛🏻🏻🏻🟧🟧🟧⬛🟨⬛🟨🟨⬛⬜ ⬜⬜⬛🏻🟧🟧⬛🟨🟨🟨🟨🟨🟨⬛⬜ ⬜⬛🟨⬛⬛⬛🟨🟨🟨🟨🟨🟨⬛⬜⬜ ⬜⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜ ⬜⬛🟧🟧🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛ ⬜⬛🟧🟧⬛🟨🟨🟨🟨🟨🟨🟨⬛🟨⬛ ⬜⬜⬛⬛⬛⬛🟨🟨🟨🟨⬛⬛⬛⬛⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛🟧🟧🟧⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣄⣤⣤⣤⣄⡀⢀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠛⠻⣿⣿⠃⠘⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣦⣄⠀⣿⣿⣷⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⣞⠉⠛⠆⠛⠛⠉⣡⢶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⢾⡳⣭⣛⠲⠶⠶⠞⣛⣭⢞⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡝⡟⠀⡛⢶⣭⣽⣿⣿⣯⣭⠶⢋⣜⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢧⢠⣄⣀⢨⠉⠉⢱⣶⣾⣷⣿⣣⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠣⠾⠺⠿⣿⢸⢸⡆⢸⣿⢹⣿⣽⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⡿⢸⠿⢷⣦⠞⠭⣥⣾⣿⣁⠿⠋⠀⡀⠀⠀ ⠀⣠⣀⠀⢀⣀⠰⠾⠛⠋⠁⢀⡄⠀⠛⠠⢀⣀⢴⣷⢀⢹⣿⠀⠀⢀⡴⠃⠀⠀ ⠇⠈⣿⠇⠉⠀⠀⠀⠀⠀⠀⡈⢠⣶⡀⣔⡬⠖⠉⢉⣰⣊⣥⣴⠊⢻⡧⢶⠀⠀ ⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠁⠊⠁⣾⣿⠄⢸⣿⠁⢈⣿⠖⢺⣧⠼⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠀⢿⡗⠀⠀⣀⡀⠀⢸⡿⠛⢻⣿⣤⣾⣧⠴⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⢠⣦⠀⠀⠘⠿⠟⠀⣼⣧⢤⣾⣿⣀⣸⣿⣠⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠈⠋⠀⠀⣠⣶⡀⠀⣿⡇⠀⣽⣿⠋⢹⣿⠟⢁⠞ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⣿⡇⠀⠀⠙⠛⠁⢰⣿⠟⠛⣿⣿⣶⣿⠋⢀⠎⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⢿⡄⠀⠀⠀⣾⣷⠀⢸⣿⣤⣴⣿⣿⠟⠁⣠⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠘⢿⣦⣀⣀⣈⣁⣀⣼⣿⣿⠟⠋⢀⣠⡶⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠘⠿⠿⠿⠛⠛⠛⠉⠉⢁⣠⣶⠟⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣀⣀⣠⣤⣤⣴⣶⣾⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠿⠿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢰⠟⠙⠛⢦⣄⠀⠀⠀⣀⣤⠶⠶⠶⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠙⢷⣤⡾⠋⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠳⢤⣀⠀⣠⠟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⠃⠀⠀⠈⠛⠶⣤⣀⡀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣡⣶⡄⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⣀⣼⠁⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡁⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢲⡏⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣾⠉⢳⠄⣾⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⢀⣀⣼⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⢯⣝⣷⣟⣀⡏⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠐⠒⢉⣁⣀⣀⠙⠷⠖⠦⣄⠀⢠⡀⠀⠀⠀⠀ ⣼⠷⠦⣼⣇⠀⠉⣷⢤⣤⣤⠴⠟⠁⠀⠀⠀⠀⠀⠠⠶⠋⠁⢘⣿⠷⡄⣜⣳⡿⠀⠸⠃⠀⠀⠀⠀ ⠈⠓⠒⠛⠈⠙⠺⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣼⢧⣈⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠦⠴⠃⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣶⣦⢤⣄⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡿⣿⢡⣤⣿⡆⣠⠶⠛⠉⣙⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⣿⠸⠘⣿⡟⢁⣤⠖⠋⠉⠀⠉⠛⠶⠤⢄⣀⣀⣠⣤⠀⠰⡏⠀⠀⢠⣴⣶⣶⣄⠀⠤⢄⢰⡄ ⠘⣇⢻⣆⠀⣸⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⠀⠙⠓⠚⢻⡇⠈⣿⣽⣆⠀⠞⠉⠁ ⠀⠹⣎⠻⣷⡿⠁⠠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⣀⣠⣾⡇⠀⠸⣿⣿⠀⠀⠀⠀ ⠀⠀⠈⠛⠋⠀⠠⠴⢫⠼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢠⠀⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣿⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡶⢿⠖⠦⢤⣀⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢉⡉⠁⠀⣸⠀⠀⠀⡎⠳⢾⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⡄⠀⠀⣤⣠⠀⣤⡾⠂⠇⣴⠞⠛⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠁⢠⣿⣿⣿⣾⣯⠤⠀⠀⠀⢀⣴⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢹⠀⣠⣶⣿⡿⣫⠟⢉⣀⡀⠀⠀⠀⠀⢇⠙⣻⠿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢸⣦⣿⢯⡞⠐⢁⣴⡿⠻⣿⣦⡀⠀⠀⠈⠉⠁⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣯⠀⢻⡇⠀⠈⠻⣀⠤⠜⠋⠁⠀⠀⢤⠶⠟⣀⣶⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢸⡇⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⢀⡀⣠⣴⣻⣽⠇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⣇⡀⣼⠻⣇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠇⡏⠉⠿⡝⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⡓⢦⣄⣠⣼⣧⣀⡀⠀⠀⠀⠀⠀⠉⠉⢀⣿⡄⠀⠀⠀⠀⠀⣀⣀⣤⡤⠤⣶⣿⣿⠈⠿⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⢹⣿⣿⣿⣿⣿⣟⣶⣦⣄⠀⠀⠰⣿⣿⣿⡖⠒⠒⠋⠉⠁⠀⠀⠀⢠⣾⣿⣿⠀⣤⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⣿⠀⠀⢙⣿⣿⣟⣹⣿⣿⣿⣿⣿⣦⣀⣿⣿⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⡏⣴⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⣳⣿⡿⢿⣿⡿⠉⠉⢉⣼⣿⠿⠿⠿⣿⣿⣿⣿⣿⣷⣿⣆⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣯⣿⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡴⢒⡿⢣⣼⣿⣿⣯⡤⠖⠛⠁⣀⡴⠟⠋⠀⠀⠘⣿⣾⣿⣟⣙⣿⢽⣿⣿⣶⣄⠀⣀⣀⣰⣿⣿⣿⣧⣿⡿⢀⡤ ⠀⠀⠀⠀⢀⣴⣿⣿⡴⠟⣿⣏⣈⣭⠴⠋⢀⣠⠤⠊⠁⠀⠀⠀⠀⠀⠀⢸⣿⣽⣿⣿⣜⢷⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀ ⠀⠀⢀⣼⣿⣿⣻⣿⡷⠤⠍⠋⠀⠀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣾⣿⣿⣿⠈⠻⠦⣭⣛⣛⣛⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀ ⠀⠀⢾⡿⠟⠋⠁⠀⣀⡴⠖⢛⡿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣗⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣠⠜⠛⣿⠃⠀⠀⠀⠀⠀ ⠀⣠⡏⠀⠀⠀⠀⠸⠿⠷⠚⣩⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⣻⣧⣄⡀⠀⠀⠀⠀⣼⣤⣶⣿⣿⣇⠀⠀⠀⠀⠀ ⠟⠋⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⣵⣿⣿⣶⣿⣦⡀⠀⢰⡇⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣱⣿⣿⣿⣿⣿⣿⣍⢣⣾⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⢋⣭⣿⣿⣿⣦⠀⣀⣀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⣠⣾⠟⣩⠟⣽⢯⣿⠏⢉⣥⣶⠿⣻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⣄⡀⠀⠀⢠⡟⠀⢀⡞⠛⠁⣀⣥⣈⡁⠚⣾⣞⡙⠋⠁⠚⢩⠞⣽⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⢿⡷⠯⣷⣦⣠⣞⠁⢠⣏⢀⡴⠋⠁⠀⠀⠉⠻⣏⠉⠉⠓⢦⡀⠀⢾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠟⠛⠛⠛⣻⣿⣿⣇⠀⠛⢹⠟⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠱⣶⣏⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⢿⣿⣿⣻⡆⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⢹⣿⣿⣛⣖⣻⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⠘⠉⠓⠻⠃⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⢿⠛⢿⡄⠉⠙⠛⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡿⣿⡄⢀⣤⠶⢶⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⢸⠀⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣷⣯⣾⠈⠀⠈⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⠧⢿⡿⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⡿⠏⠙⣮⡀⣶⠀⢻⡛⠲⠤⣤⣀⣀⣀⠀⠀⢰⠏⠀⠀⠀⢠⡾⠀⠀⢻⢹⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⡇⣀⠀⠀⠈⣽⠇⠀⠀⠑⢄⠀⠀⠉⠉⠉⠉⣹⡛⠛⠛⠉⢉⡽⢁⣤⣨⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⠿⣆⠀⠀⠀⠀⠙⠒⠶⠶⠶⣏⠉⠉⢱⡦⠖⠉⠀⢸⠏⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣟⠏⠀⠈⠳⢤⣀⣀⠀⠀⠀⣀⣀⣈⠽⠿⣍⠀⠀⢀⡴⠋⣠⣤⣿⣃⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣶⣶⣦⣦⠌⠉⠉⠉⠉⢉⡥⠶⠦⣄⣈⣓⡛⠉⠀⢘⡿⠋⠉⠉⠉⠙⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣻⣿⡿⣷⡶⢶⡶⢰⡏⠀⣠⠚⠉⢀⡹⠗⠒⢾⡿⠁⠀⠀⠀⠀⠀⢘⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡇⠀⠀⠳⠤⣇⠀⢀⡎⠀⠀⠀⣼⠁⠀⠀⠀⠀⣰⣤⣀⡿⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠋⠁⠀⢀⡀⠀⠀⠈⠓⠒⠳⣤⣤⠼⠃⠀⠀⠀⠀⣰⠏⠀⠀⠀⠈⢷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣷⡀⠀⠀⠀⠳⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣋⠀⠀⠀⠀⢀⣸⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠙⠲⢤⣀⠀⠀⠀⠀⠀⢀⡼⠉⠉⠉⠉⢻⡏⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣏⠻⢸⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⠦⠤⠖⠋⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣼⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣶⣶⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡿⣿⡆⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣻⡇⠀⠀⢸⣟⣀⣀⣀⣀⣀⣀⣠⣤⡤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠟⣿⠀⠀⠀⢸⠋⠉⢉⡿⠉⠉⠉⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣧⣄⡏⠀⠀⠀⣸⠀⢀⡞⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⡟⢹⠇⠀⠀⠀⣿⢀⡾⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⢀⣿⡇⠀⣿⠀⠀⠀⠀⣿⡾⠁⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⣿⣟⠛⢋⣿⣿⣷⡶⣾⣿⠿⢲⡇⠀⠀⠀⠀⡿⠁⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣿⣯⣭⡍⠀⠀⣛⣛⠟⠰⠛⠁⠀⣾⠁⠀⠀⠀⢸⡇⠀⠀⢀⣸⣇⡀⣀⣀⣀⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠋⡉⠉⠉⠉⠁⠈⠉⠉⠉⠉⠀⠉⠙⠓⠒⠊⠉⠙⠒⠒⠊⠉⠒⠒⠒⠒⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠃⠀⢰⠀⠀⢀⠊⠉⠳⠀⡀⠀⢠⡄⠀⣠⠀⠀⠀⡄⠀⢠⡄⠀⠀⠀⠐⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠏⢠⠞⢳⠈⢆⠀⠈⠓⠂⠀⠀⡹⠖⠚⠓⠚⠧⡀⠀⣠⠽⠒⠚⠓⢴⡏⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠋⠀⢸⡀⡼⠀⠘⡄⠀⠘⠃⢀⠎⠀⠀⠀⠀⣀⡀⠘⡞⠁⠀⣀⠀⠀⠀⠘⣄⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡄ ⠈⣧⠀⠀⠀⠉⠁⠀⠀⡇⠀⠀⠀⣾⠀⠀⠀⠀⣿⣿⣿⡇⢸⢠⣿⣿⣿⡆⠀⠀⢸⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⢀⠎⡠⠟⠁ ⠀⠈⢷⠀⠀⠀⣠⡀⠀⢣⠀⠀⠀⢘⡦⠤⣀⡀⠙⠿⠟⢃⣎⠀⠻⠿⠟⠁⠀⣠⢞⡀⠀⢸⠀⠀⠀⠀⠀⣴⠲⢾⣋⢷⣄⠀ ⠀⠀⠸⡆⠀⢸⣧⡇⠀⢸⠀⠀⠀⠘⢤⣤⡀⠉⣦⠤⠖⠁⠈⠳⠤⠤⠒⠊⠉⠀⣠⠇⠀⢘⡄⠀⠀⠀⠀⡇⠑⢾⣁⣼⡟⠀ ⠀⠀⠀⠙⡄⠘⠋⢠⠦⣼⡄⠀⠀⠀⠀⢸⣧⡈⠀⠀⠀⠀⠀⠀⠒⠲⢶⡖⠒⠉⠀⠀⠀⣸⠃⠀⠀⠀⠀⠈⡆⣠⠴⠋⠀⠀ ⠀⠀⠀⠀⣇⠀⠀⢸⡀⡏⢱⠀⠀⠀⠀⢸⣏⠉⠓⢲⡖⠒⢲⣶⡖⠒⣷⠛⠁⠀⣀⣀⠀⡏⠀⠀⠀⠀⠀⡜⢠⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢢⡀⠈⠛⠁⢸⠀⠀⠀⠀⢸⣗⣸⡾⠸⠷⣤⢼⣿⡷⠀⠛⠀⠀⢄⠀⣨⠀⠁⠀⠀⠀⠀⡜⢠⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣧⣀⠀⢶⠀⡆⠀⠀⠀⠀⣟⠛⠻⢷⠶⢶⣾⣿⠃⠀⠀⠀⠀⠈⡉⠀⢠⠟⢫⣱⡤⠞⣠⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠋⠈⢆⠀⠀⢱⠀⠀⠀⡀⠈⠓⠦⠤⠤⠤⠽⠟⠀⠀⠀⠀⠀⠬⠟⠀⢸⠀⠸⣷⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⢸⣄⣀⡈⠀⠒⠐⠁⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢲⠲⡞⠁⠀⠈⡏⠉⠉⠉⠛⠯⣉⣉⠽⢳⣶⡟⠫⣉⡽⠛⠉⠉⠉⢹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⢀⣿⢿⣷⣶⡗⢶⣶⣶⣶⡶⣾⣿⣶⡾⠋⣷⣶⣿⡶⣶⣶⣶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡗⣿⣄⠸⣿⡇⠈⠉⠉⠉⠀⠈⠉⠉⠻⣶⠟⠉⠉⠁⠈⠉⠁⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠁⠘⡏⢻⣿⠷⠤⠤⠶⢶⡶⠶⠶⠶⠾⣿⠶⠶⠶⣶⡶⠒⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⡀⣶⡽⠄⠙⢶⠤⡤⠖⠛⠀⠀⠀⠀⠀⠉⡻⢻⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠷⠾⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⣏⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⡇⠀⠀⠀⠀⠀⠀⠀⢀⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣤⣤⡀⠀⠀⠀⠀⢿⣿⣿⣷⣟⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠛⠛⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⡀⣠⢀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣷⠾⠛⠛⠙⠋⠙⠋⠛⠙⠻⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⢀⠔⠉⠉⠉⠑⡖⠈⠉⠳⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⢸⡀⠛⠃⠀⠀⣸⠀⠘⠋⡹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⣀⠀⠑⠤⠄⡤⠔⠉⠉⢰⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣿⢻⠀⠀⠀⠀⠀⠀⠈⠉⠉⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢠⣄⡀⠀⠀⠀⠀⠀⢀⣼⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡤⠤⠤⢤⣦⠤⣄⣰⡃⠀⠀⠀⠈⢉⡝⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡋⠁⠀⠐⠦⢄⣸⡄⠀⠹⡟⠒⠦⠤⠤⢺⣷⠤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢧⡀⠀⢀⠀⠀⠈⠳⣄⣼⠇⠀⠀⠀⠀⠀⣿⡇⠈⢹⠑⣢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢨⠓⣾⡇⢀⠀⡀⣿⠏⠀⠀⠀⠀⠀⠀⢻⡿⣾⣿⣄⠈⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣠⡏⢰⠁⣷⣿⡴⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠑⣜⢾⠁⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⢿⣿⡇⢸⠠⢹⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⢧⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⢿⣿⣿⡇⢸⠀⣾⠀⠀⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣾⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⢸⠀⡏⡆⠀⠈⢟⠓⠲⠦⠤⠤⠤⠶⠖⠚⢉⡟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⢸⠀⠀⡇⠀⠀⡼⠀⠀⠀⠀⠀⢠⡤⠴⠚⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⢸⠀⠓⢇⠀⠀⠉⠒⢶⠤⠤⠴⢞⠋⠛⣿⣉⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣿⣿⣿⠀⡆⠀⢸⠀⠀⠀⠀⠘⢆⠀⠀⠀⠉⠛⣇⢹⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣿⣿⣿⠀⡇⠐⢸⡀⠀⠀⠀⠀⠀⠑⡦⠤⠤⢴⣏⡼⠉⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠉⡇⢸⠀⠈⡇⠀⠀⠀⠀⠀⢰⣿⠒⠒⠒⠋⢣⣀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢦⣷⡶⠃⠀⠀⠀⠀⠀⠻⣟⠢⠤⠤⠤⡔⡿⠏⠀⠒⠛⠂⠸⠷⠒⠂⠀⠰⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣆⠀⠀⠐⠀⣴⢶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⣛⠯⠟⠊⠉⠀⠀⠀⠀⠉⠑⠢⠭⣙⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠕⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⢀⡠⠴⠊⣉⡉⣉⠉⠒⠦⣄⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⢀⣴⣯⠖⣊⣭⣤⣤⣬⣉⡑⠢⣌⠳⡄⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⢠⣿⢏⣴⣿⠿⠟⠋⠀⠘⠻⢿⣶⡄⠑⣼⣦⣀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣶⣤⣤⣾⠯⠃⣾⡟⠉⠀⠀⣠⣤⣄⡀⠀⠈⢻⡆⠈⣿⣾⣷⣶⣶⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠀⢸⡿⠀⠀⠀⣾⣭⣿⣿⣷⠀⠀⠈⣻⠀⢹⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠉⠙⢿⠀⠸⣿⡀⠀⠀⠹⢿⣿⣿⠟⠀⠀⢀⡿⠀⢸⡿⠋⠉⠉⠉⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢧⠀⠹⣿⣖⡤⠀⠀⠀⠀⠀⢀⣠⡽⠃⢀⡏⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢣⡀⠈⠻⢿⣯⣄⣀⣀⣥⡴⠟⠁⣠⠞⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠉⠲⢄⣀⠈⠉⠉⠉⠁⣀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠐⢦⣄⠂⠀⠉⠉⠙⠉⠉⠁⠀⣀⠤⠂⠀⠀⠀⠀⠀⠀⢰⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡀⠀⠀⠀⠀⠈⠳⠍⠒⠒⠤⠴⠖⠶⣾⡉⠁⠀⠀⠀⠀⠀⠀⢀⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⡠⠤⠖⠒⡿⣌⠻⣦⣀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠘⠉⠀⠀⠀⠀⠀⢀⣤⣴⣿⣿⡿⢹⠉⠉⠁⢀⣠⣤⣄⣠⣦⡀ ⠀⢠⣿⣷⡄⢻⡀⠀⠀⠀⠀⡇⠈⠳⣌⡿⣟⢲⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⢞⣿⣿⣿⠿⠋⠀⢸⠀⣀⡠⠾⢿⣿⣿⣿⣿⣿ ⢀⣾⣿⣿⡟⠉⠉⠉⠉⠑⠚⢣⠀⠀⠈⣿⠛⠟⠀⠈⠉⠛⠛⠓⠒⠻⠟⠿⠛⠋⠉⠠⠄⣹⣿⠁⠀⠀⠀⡎⠉⠀⠀⠀⠀⠀⠘⢿⣿⣿ ⢸⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿ ⠈⠿⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⡇⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⡀⠀⠀⠀⠀⣿⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⠸⣟⠛⠲⠴⠇⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠻⠶⠟⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠐⠲⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠠⢀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⠤⣤⣤⣤⣤⣤⣤⣄⣶⣶⣶⣾⣶⣶⣶⡿⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣉⣿⣿⣿⠇⠀⠈⢿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣇⠀⠀⠀⢸⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠄⠀⠀⠸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⢰⣀⠀⠤⠤⠤⠤⠤⠀⣀⣀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠂⠤⡀⡰⠋⠉⢢⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⢀⡤⠒⠊⠉⠁⠀⠀⠈⠉⠒⠢⢄⡀⠀⠀⠘⠁⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⡴⠉⠠⣴⡄⠀⠀⠀⠀⠀⠀⠀⣀⠀⠉⢢⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⡜⠀⠀⠀⠛⢀⣀⡀⠀⠀⠀⠀⠰⣿⠃⠀⠀⠱⠀⠀⠀⢠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⢰⠁⠀⠀⠀⠀⠸⣿⣿⣶⣶⣦⣶⠀⠀⠀⠀⠀⠀⡇⠀⠀⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⡀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⡇⠀⢀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠊⢹⠁⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⠀⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡜⠁⠀⡼⣄⠀⠀⠀⠀⠀⠀⠑⠢⠤⣀⣀⣀⣀⣀⣀⣀⠤⠒⠁⠀⠀⠀⢰⠛⠒⢄⡀⠀⠀⠀ ⠀⠀⠀⣀⠴⢻⠁⠀⢰⠃⠈⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠜⠒⠀⠀⠙⢆⠀⠀ ⠀⣠⠞⠁⠀⣸⠈⠉⡝⠀⠀⠀⠀⠈⠑⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⣀⠀⠀⠀⠀⢣⠀ ⡜⠣⢄⣠⣞⢹⡄⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⠒⠒⠒⠒⠒⠒⠒⠒⠒⢊⡇⠀⠀⡴⠓⢦⣀⠀⠀⠈⡆

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⡄⠀⠀⠀⠀⠀⢀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠦⠀⠀⠀⠀⠀⠀⠀⠻⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣮⣵⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡿⢻⣿⡟⣻⣶⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠘⢿⣿⡿⠋⠉⠙⠻⢿⣯⣿⣿⠀⠀⠀⢀⡇⠀⠀⠀⢰⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⣿⣶⣤⣴⡖⠈⣙⠛⠁⠀⠀⠀⣼⣧⠀⢀⣀⣸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣯⡀⠀⢈⡛⠿⠵⠒⠋⢈⠁⠀⠀⣠⣾⣿⣿⡀⢸⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣦⣄⡳⠀⠀⠀⠀⢈⣠⣴⣾⣿⣿⣿⣿⣿⣦⡙⣷⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣶⡄⣀⣴⣿⡿⠟⠛⠉⠉⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠛⠻⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠙⢿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣽⣿⣿⡿⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⢿⣿⠻⠃⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⡁⢱⣿⣴⣿⣠⣥⣦⡌⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⢲⣿⡅⣀⣿⣷⢛⣡⡶⠿⠛⠋⠁⠀⢀⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡃⠛⠿⣙⢿⣷⣶⣶⣶⣾⣿⣯⣿⣿⢾⣿⣿⠿⠛⢋⡉⠁⠀⠀⣀⣠⣴⣾⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡇⠀⠀⠘⠦⠄⠹⠶⠛⢿⠟⠛⠟⢀⣾⣿⣭⡾⠛⣉⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣶⣶⣦⣤⣤⣤⣤⣤⣴⠧⠶⠖⠛⠻⠶⠶⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣛⠋⠡⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠓⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⡿⣋⡤⢖⣋⠉⣹⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠐⠂⠀⠀⠲⠤⠬⠿⠿⠬⣿⣿⣤⣿⣧⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠿⠿⠿⢿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⠀⠀⠀⠀⠉⠙⠿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⠁⠀⠀⢀⣴⣶⣶⣶⡶⠷⠷⣿⣿⣿⣄⠀⠀ ⠀⠀⠀⠀⢀⣿⡟⠀⠀⠀⢸⣿⣷⡀⠈⠆⠀⠀⠀⠀⠙⢿⣷⡀ ⠀⢠⣶⣿⣿⣿⡇⠀⠀⠀⢸⣿⡇⠙⠦⠤⠤⠤⠴⠶⠚⢹⣿⠇ ⠀⣿⡇⠀⢸⣿⠃⢇⠀⠀⠀⢿⣷⣤⣤⣤⣤⣄⣤⣤⣴⣿⡏⠀ ⠸⣿⡇⠀⢸⣿⡆⠸⡄⠀⠀⠀⠙⠛⠿⠿⠿⠿⠟⠛⢻⣿⣧⠀ ⠀⣿⡇⠀⢸⣿⡇⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀ ⠀⣿⡇⠀⢸⣿⡇⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠛⣿⣿⠀ ⠠⣿⣷⠀⢸⣿⡇⠀⠀⠈⠣⠄⠀⠀⠀⠀⠀⠠⠚⠁⠀⣿⣿⠀ ⠀⣿⣿⠀⠈⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⠀ ⠀⠘⢿⣿⣾⣿⣿⠀⠀⠀⠀⢰⣿⣾⣿⣿⠿⠛⠁⠀⢸⣿⡇⠀ ⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⢸⣿⡇⠈⣿⠀⠀⠀⠀⢸⣿⠃⠀ ⠀⠀⠀⠀⠀⢸⣿⣀⣀⣀⣀⣿⣿⣷⣤⣿⣧⣀⣀⣠⣾⣟⠀⠀ ⠀⠀⠀⣴⣾⣿⣿⠿⢿⠿⠿⡟⣋⣥⣿⣽⣛⣛⠟⠛⣿⣽⣿⣦ ⠀⠀⠀⠈⠙⠛⠿⠿⢤⣤⣭⣭⣉⣉⣩⣯⣭⣭⣭⠷⠾⠟⠛⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⢋⣉⣉⡉⠛⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⢁⣰⡼⡿⠿⠷⠹⣷⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⢄⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⠋⢀⣴⡿⡋⠀⣘⣿⡿⢦⣝⣠⡀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⣠⢖⣫⣥⣀⣈⡀⠀⠈⠙⠲⣄⡀⠀⠀ ⠀⠀⢰⢦⣄⠀⢸⣾⣰⠘⠿⣿⣷⠟⠋⠀⠀⠀⠈⠻⣷⡀⠀⢸⣧⠀⠀⠀⠀⣠⣾⣷⣿⣿⡿⠋⠈⢻⡶⣦⡀⠀⠈⢳⡄⠀ ⠀⠀⢾⡈⠻⡄⠈⢿⡟⢾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠹⣇⣦⠶⠟⠂⠛⠉⠘⠛⠶⣿⣿⡥⠶⠶⠶⣤⣶⣏⠛⣦⠀⠀⢹⣆ ⠀⠀⠈⣿⡀⠹⣄⠀⢉⣉⣁⣀⡀⠀⠀⠀⠀⠀⠀⠀⡠⠋⢀⣀⠴⠀⠀⠐⠈⠙⠲⣼⠉⠀⠀⠀⠀⠈⠻⣿⣦⣾⠀⠀⢘⣿ ⠀⠀⠀⢹⣷⠖⠋⠁⠀⠀⠀⠀⠉⠉⠑⠢⢤⣀⢠⠞⢠⣾⣥⣤⣤⡀⢀⣤⣀⡀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠈⠻⣿⣤⣿⣿⣾ ⠀⠀⢀⠜⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠙⠆⣾⠟⣹⣭⣙⣿⠟⠛⠻⣿⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠁ ⠀⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠿⣄⡻⢿⣇⡆⢾⣿⠞⢻⡆⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠈⠉⠉⠉⠛⠲⠬⣴⣿⠇⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠻⣶⣄⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣤⣾⣿⢿⣿⣷⡀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⣿⣿⣿⣿⣿⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣿⣿⣿⠟⠁⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⢻⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⢸⠀⠀⠀⠀⠀⠀⠈⠑⡖⠒⢤⣄⣀⣀⡠⠤⠖⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠘⡆⠀⠀⠀⠀⠀⠀⢸⡇⠀⠈⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⡇⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⡟⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠀⣿⠀⠀⡇⠀⠀⠀⠀⠀⠀⢸⢳⠀⠀⣿⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀⠀⠀⠀⡀⢸⡏⠀⠀⣿⡄⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⡇⠀⠀⠀⠀⢀⠁⣼⣳⠀⠀⢻⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢇⠀⠀⠀⠀⠘⡆⡟⠻⣄⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⢹⡄⠀⢸⠀⠀⠀⠀⠀⢳⡇⠀⠈⢷⣼⡇⠀⠀⠀⠀⠀⢸⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡘⠀⠀⠀⠠⣾⣸⣿⠀⠀⢈⢿⡇⡀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠆⠀⠀⠀⠀⡀⠀⠀⠿⣿⠓⠀⠀⠀⠀⠀⠈⠛⢧⣀⣾⣿⡇⠁⠀⠀⠀⠀⠀⠀⠀⠉⢑⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣄⠀⠀⠀⢸⡇⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⢻⣯⠄⠀⠀⠀⠀⠀⠀⢛⣦⠀⠄⣷⣦⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢦⣀⣠⣾⡿⠷⢾⠁⠀⠀⡀⠀⠀⠀⠠⣄⠀⠀⠘⢏⢷⣄⡀⠀⠀⠀⠀⠀⣈⣿⣀⣂⡩⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠀⠀⠠⡎⠀⠀⢠⡇⠀⠀⠀⠀⢻⡄⠀⠀⣼⡇⠀⠈⠉⠉⠒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠳⢴⣂⡺⠷⠤⢤⣨⠤⠚⠓⠒⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⡀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⡠⢖⣿⣿⣷⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⢫⡟⡟⡿⣧⢟⣁⣈⣿⣼⣿⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠀⡞⢁⡤⠒⠚⠥⣀⠀⠙⢿⣷⣦⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣶⣶⣤⡇⠀⠷⡏⠀⠀⠀⠀⠈⢣⡀⠀⠙⡅⢠⣘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⢉⣿⡿⣄⣀⡇⠀⠀⠀⠀⠀⠀⢳⠀⠀⢰⠈⢻⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡏⡴⠋⢀⢳⡀⠀⠀⠀⠀⠀⠈⣇⡤⢾⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⡷⣤⡼⡅⠑⢄⡠⠤⠴⠖⢩⠧⢲⠃⢀⡜⣠⣿⠋⠺⡍⠙⡟⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣧⢤⡀⠳⣀⠀⠉⠒⠒⠂⢙⡺⠋⠀⣩⣨⠿⠻⣄⣀⡇⢀⠧⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⠏⠀⢠⣇⡤⠬⡗⠒⠲⠒⠒⠉⠀⠀⠚⠋⠀⠀⠀⠀⠀⠉⠁⠀⠀⢻⣀⣠⡤⠤⠤⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡙⠀⠀⣿⠏⠀⣰⣿⢶⣀⡠⠾⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢧⡀⠀⠀⠀⠈⠁⠀⣀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣶⣶⣶⢶⡄⠀⠀⢻⠉⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠑⢲⠖⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⠉⠉⠀⠀⢱⠀⠀⠈⣇⡰⢳⠀⠀⢀⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⠀⠀⠸⠃⠀⢀⢴⣧⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠁⠀⠀⠰⡦⢀⣸⠆⠀⠀⠾⠗⠚⠉⠉⠉⠀⠈⠉⠉⠲⣄ ⠀⠀⠀⠀⢸⠀⠀⠀⢀⡤⠚⠁⠀⠙⢿⣿⣀⣀⣄⠀⠀⠀⠀⠀⠀⠉⠙⠛⠓⠉⠀⠀⢳⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢹ ⠀⠀⠀⠀⠒⡷⠶⠾⠇⠀⠀⠀⠀⠀⠀⠈⢽⣿⠿⠦⠶⡿⠷⠦⠤⣄⣀⣀⣀⣀⣀⣀⠼⠦⠤⠤⠤⠀⠀⢤⣀⣀⡠⠶⣄⣀⣀⣆⣀⣼

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠴⠟⠛⠙⠯⠁⠀⠀⠉⠙⠏⠑⠒⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠋⠉⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠓⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠖⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡝⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡟⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠉⣳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠀⠀⠈⠀⠈⢽⣗⣦⠀⠀⠀⠀ ⠀⠀⣴⡏⠀⠀⠀⠀⠀⠀⠙⠒⠒⣤⣤⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣊⣁⡀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀ ⢀⣴⡟⠂⠀⠀⠀⠀⠀⠀⡠⠒⠉⠉⠉⠑⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠉⠀⠀⠀⠈⠳⡄⠀⠀⠀⡀⡞⠁⠀⠀⠀⠀ ⠘⡆⠹⡄⠀⠀⠀⠀⠀⣼⡓⠒⠒⠒⠢⠤⠤⣽⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣼⣤⠤⠔⠒⠒⠂⠉⢹⡄⠀⢀⡞⠀⠀⠀⠀⠀⠀ ⠀⠈⠒⢧⠀⠀⠀⠀⠀⢻⣁⣀⠠⠤⠤⠤⠤⢼⠃⠀⠀⠀⠀⠀⠉⢢⠀⠀⠀⢻⡥⠤⠤⠤⠤⠤⢤⡜⠁⣠⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢄⡀⠀⠀⠈⠢⣀⠀⠀⠀⠀⡠⠏⠀⠀⠀⠀⠀⠀⠰⢋⡀⠀⠀⠀⠙⠢⠄⣀⣀⣤⡊⣠⠞⡁⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠙⠢⣀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⢀⠤⠖⢲⡿⠂⠀⠀⠀⠀⠀⡼⢳⡿⢹⣇⣸⢹⣦⣀⡤⠾⣷⡴⠿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⣠⣤⣾⡇⣾⣿⢸⣿⣿⡄⣿⣿⣦⠴⠿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠤⣤⣄⣀⣀⣀⣀⣀⣀⣠⢤⣤⣶⣿⣽⣿⣿⣇⢸⣿⡎⣿⣿⣷⡘⣿⡅⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠉⠻⣿⣆⠀⠠⣶⣻⣿⣿⣿⠛⠁⣿⣎⢿⣿⡈⢿⡿⡟⠻⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠈⠻⢷⣤⣤⣿⠁⢀⣠⣤⣤⣿⣿⣎⠻⠻⣤⡀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠐⣄⠀⠀⠀⠀⠀⠈⠛⢿⡿⠿⠿⣿⡟⠳⡄⠈⠳⠴⠃⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢀⣠⠞⠋⠛⠦⣄⡀⠀⠀⠀⡏⠀⠈⣿⣿⠇⣠⠞⢷⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠛⠋⠁⠀⠀⠀⠀⠈⠉⠛⠲⣶⣷⠒⢲⣿⡟⠲⢇⣈⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⣾⣿⠃⠀⠀⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡄⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⢀⡶⣶⠞⠛⠁⠀⠠⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣾⠁⢻⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢀⡏⠀⢸⡇⠀⠀⠀⠀⢀⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠙⠳⠶⠤⠤⠤⠤⠾⡇⠀⢈⠷⠖⠒⠚⠛⠋⠉⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠘⢆⡀⠀⠀⠀⠀⠀⠠⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠀⠉⠁⠉⠉⠉⠀⠙⠒⠢⠤⠤⠒⠒⠊⠉⠀⠀⠀⠀⠀⠈⠉⠙⠒⠒⠂⠒⠈⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠤⠖⠛⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡞⠉⠀⠀⠀⠀⠀⠀⠈⠙⠲⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠀⠀⢀⣴⣿⠋⠀⠀⠀⣴⠄⠀⠀⠀⠳⣄⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⣀⣤⣾⡟⠻⡄⡰⡺⠉⠀⠀⣠⣩⣞⠉⣧⠀⠀⠀⠀⠈⠃⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠼⠛⠣⢤⣤⢤⣀⣉⡙⠒⠛⠓⠲⠄⠀⠀⠀⠀⡀⠀⠀⣿⠀⢰⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠿⠶⠶⠶⠤⢤⣤⣄⣀⣁⣂⡀⣿⢠⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠒⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⢤⣀⠀⠀⠀⠀⠈⠉⠉⠙⢾⣿⡿⠗⠤⠔⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⢤⣶⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⣾⠟⠃⠀⠀⠲⣄⠉⠉⠉⠓⠒⠲⠦⠬⣒⡢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀ ⢰⣶⡖⠒⠒⣾⡽⣵⠁⠀⠀⣤⣤⠄⢸⡆⠀⠀⠀⣠⠔⠉⠉⠀⠘⢷⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀ ⠘⠛⠛⠒⠺⡇⡇⡇⠀⠀⣾⣿⣿⣶⣿⡇⠀⠀⡜⠁⢀⣴⡶⠂⡀⠀⢱⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀ ⠀⠀⠀⠀⠈⢧⢧⢻⡀⠀⠘⠪⠿⢝⣃⣀⣀⡀⡇⠀⡿⣿⣿⣶⡇⠀⢀⠇⢈⣧⠤⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠣⣕⡟⠦⠤⢤⣶⠿⠓⠒⠦⣑⢵⡄⠙⠫⠿⠛⠁⢀⡜⠀⡼⠯⢦⣀⣉⢙⠉⠒⠢⡤⣀⡀⠀ ⠀⢃⠀⠀⠀⠀⠀⠈⠉⠛⢻⠋⢀⣤⠀⢀⣀⠈⠳⣍⠒⠠⠀⠤⠒⢉⣠⠞⠁⠀⠀⠀⠀⠉⠙⠓⠤⢤⣄⣿⡆ ⠀⠘⢦⠀⠀⠀⠀⠀⠀⡄⠀⠠⣜⠛⠀⠸⠿⠃⠀⠈⠉⠑⠲⠒⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁ ⠀⠀⠀⠳⣄⠀⠀⠀⠀⠘⢳⣄⡀⠉⠁⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀ ⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠈⠛⠻⢷⣶⣶⣶⡶⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣄⣤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣿⣿⣿⣿⣿⣿⣿⡛⠛⠛⠛⠓⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⠀⣀⣠⡴⠶⠿⠛⠻⣿⢹⠟⠉⠉⠛⠻⠿⠿⠶⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⣏⠀⠘⢯⡋⠄⣼⣿⠃⠀⠀⠸⠏⠀⠀⠀⠀⠀⠸⣆⠀⠀⠈⡻⢶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣇⣬⠀⢸⠈⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣦⣠⣝⣾⡏⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠿⢦⣰⠼⠖⠿⠋⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣿⣿⣿⣿⣿⣶⡀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣤⣀⣀⠀⠀⢀⡀⢀⡴⣾⡄⠙⢱⣿⣽⠛⣿⠻⢿⣆⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣥⣼⣀⢀⣏⣳⣴⡿⣳⣼⡇⠉⢁⡴⢻⣿⣏⠀⣿⡄⣀⠙⢧⠀⠈⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣾⢦⣿⣉⣟⡜⠀⠘⢞⣿⣶⣯⣤⣾⠙⡿⢰⣿⣿⣛⣇⣟⡤⠖⢲⣶⠾⢦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣏⣿⠀⣿⣿⣯⣓⣚⣛⣿⣿⢱⢸⣇⣻⣿⣧⡾⠻⣿⣿⢿⣿⣿⣿⡟⢹⢾⠋⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡞⠹⣯⣿⣿⣿⣾⣿⣿⡿⣿⣿⣿⣿⣟⣛⣛⣿⣾⡛⣦⣼⣿⣿⣿⣦⡼⠁⠈⠀⠀⠈⢧⠀ ⠀⠀⠀⠀⠀⢠⣎⣀⡼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠉⠉⠉⣿⣿⣿⣿⡿⣟⠛⠻⢽⡇⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⣸⣏⡁⠀⠀⢹⡇⠈⢻⣀⣀⣀⣤⣀⢿⣿⣿⣿⡁⢻⣆⠀⠀⡇⠀⠀⠀⠀⠀⠈⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠿⢿⡿⠧⣀⣼⣿⡀⢸⣿⠿⠛⢛⠻⣴⣿⣿⣿⣿⣌⣿⣄⠀⣿⠀⠀⠀⠀⠀⣸⡯ ⠀⠀⠀⠀⢀⣠⠤⠞⠛⠒⠉⣀⠄⠀⠈⣿⣿⣿⡿⠋⠁⠀⠀⢋⡹⠿⣏⠙⠛⠛⠛⠻⠶⠿⠤⠤⠷⠒⠒⠛⠁ ⠀⠀⢀⡴⠋⠀⠀⣀⡴⠖⠋⣀⡒⠶⠟⢁⣿⣿⠀⠀⠀⠀⠀⠀⠙⠂⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⡄⣰⠋⠁⠀⠀⠀⠀⣹⣷⣾⣿⣿⠇⠀⢠⣶⣶⣶⡄⢠⠂⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣿⣿⣿⣶⣶⣤⣤⣴⣾⣿⣿⣿⣿⣿⣤⣾⣿⣿⣿⣿⣿⣿⣿⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠋⠉⠁⠀⠀⠀⠀⢅⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⡀⠀⠀⢀⡄⢿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⢀⡤⠀⣤⢠⡄⣷⣴⡆⢸⠹⡆⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⣸⣇⠀⡏⢿⡇⢹⠹⠷⣼⠀⠙⠘⣯⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⡏⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⠆⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⡤⠴⢴⣤⣤⣼⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣀⣤⠴⠒⠊⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⣀⣤⠴⢦⣤⣀⣀⣤⣤⣴⣶⣶⣶⣶⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠋⠀⠀⣾⣿⣯⣿⣿⣿⣿⣿⠟⠛⠛⠻⢾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⣶⣿⣿⣿⣿⣿⠿⠿⡏⠀⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢒⡶⠊⠀⠀⠀⣰⠯⢞⣾⣿⡄⠀⠀⢀⠇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡵⠋⠀⠀⠀⢀⣼⠋⠀⠀⢻⣿⣧⣀⣠⣼⠤⣄⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡶⢦⣠⠞⠁⠀⠀⠀⢀⡾⠁⠀⠀⢀⣈⢿⡿⠟⣿⣿⣧⠈⢧⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣯⠀⢰⠃⠀⠀⠀⠀⢠⡾⠁⢀⣴⣿⣾⡿⠀⠀⠀⠛⠛⠋⡇⢸⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢄⣿⠀⠀⠀⠀⠀⣿⡇⠀⠋⠛⠙⠛⢁⡤⣤⠀⠀⠀⠀⡿⢸⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⢈⣧⠀⠀⠀⠀⠀⢸⣴⢸⡄⠀⣠⡾⠁⣾⣧⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⣠⣾⣿⣆⠀⠀⠀⠀⠀⠉⠓⠛⠉⠁⢀⣼⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⣠⣾⠟⠀⣻⣿⣮⣤⣀⡀⠀⠀⠀⠀⣀⡴⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⡀⡿⣿⣿⣿⣿⣿⣿⡷⣶⣯⣥⣀⣼⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡇⠛⠻⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡇⡆⠂⠀⠀⠈⠃⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣶⣀⠀⠀⠀⠀⠀⠀⠀⢹⣻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠫⠉⠉⠉⠛⠛⠲⠶⢦⣤⣤⣄⣈⢙⣛⢿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⠟⢻⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⠻⣏⠱⡄⠀⠀⠀⣀⣠⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⣀⠀⠀⠀⢀⡴⣻⠷⣦⠀ ⢰⠃⠀⢹⠀⣧⡴⠒⠋⠉⠁⠀⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠉⠉⠉⠙⠲⢤⣸⠈⡏⠀⢸⣇ ⢸⠀⠀⢸⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⢻⠀⡇⠀⠀⢸ ⠈⢿⣠⠎⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠁⣷⠀⢀⡞ ⠀⠈⠛⠚⠓⠛⠉⠉⠉⠉⠉⠉⠉⠙⢿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠓⠒⠚⠛⠙⠛⠛⠛⠒⠒⠤⠧⣶⠿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠶⠤⣄⣀⣀⣠⡤⠴⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣶⣶⣶⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀ ⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀ ⣾⣿⣿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠘⣿⠁⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⠿⢿⠀⠀ ⠀⠇⢀⣤⠀⠰⠾⠷⣶⣶⣤⡀⠀⠀⠈⢿⣿⡿⠃⠀⠀⡆⠀ ⠀⣼⡿⠁⠀⠀⠀⠀⡤⠤⢈⠁⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀ ⠀⠉⠴⠂⡙⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠃⠀⢀⠀⠀⠀⢠⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣀⠐⠀⢀⠀⠀⠀⠀⠠⢸⠁⠀⠀ ⠀⠀⠀⡀⠀⣦⡔⣒⣩⣭⣽⡷⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠙⠛⠙⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈

⬜⬜⬜⬜🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟨🟥🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨⬜⬜⬜⬜ ⬜🟨🟥🟥🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨⬜⬜⬜ ⬜🟨🟥🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟥🟥🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟥🟨⬜⬜ ⬜🟥🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟥🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟥🟥🟨⬜ ⬜🟥🟥🟥🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟥⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟥🟨⬜ 🟥🟥🟥🟥🟥🟥🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟥🟥🟥⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟥⬜ 🟥🟥🟥🟥🟥🟥🟥🟥🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟥🟥🟥🟥🟥⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟥🟥🟥⬜ 🟥🟥🟥🟥🟥🟨🟥🟥🟥🟥🟥🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟥🟥🟥🟫🟨🟫🟨🟥🟨⬜⬜⬜⬜🟨🟨🟨🟨🟨🟥🟥🟥🟥🟥🟥🟥🟥🟥 🟥🟥🟥🟥🟥🟥🟨🟨🟫🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟨🟨🟨🟫🟨🟨🟨🟥🟥🟨🟨🟨🟨🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥 🟥🟥🟥🟥🟥🟥🟨🟫🟨🟫🟨🟨🟥🟥🟨🟨🟨🟥🟨🟨🟨🟫🟫🟨🟫🟥🟫🟨🟥🟥🟥🟥🟥🟥🟥🟥🟥🟨🟨🟨🟫🟥🟨🟨🟨🟫🟥🟥🟥 🟥🟥🟥🟥🟥🟥🟨🟨🟫🟥🟨🟫🟨🟥🟨🟫🟫🟥🟫🟨🟫🟥🟥🟨🟫🟨🟫🟨🟥🟥🟥🟥🟥🟨🟨🟫🟥🟨🟫🟫🟨🟫🟨🟫🟫🟨🟫🟥🟥 ⬜🟥🟥🟥🟥🟥🟨🟫🟥🟥🟨🟨🟥🟥🟨🟨🟥🟥🟥🟨🟫🟥🟥🟨🟫🟥🟨🟨🟥🟥🟥🟥🟨🟫🟫🟨🟫🟨🟫🟥🟨🟫🟨🟫🟥🟨🟫🟥🟥 ⬜🟥🟥🟥🟥🟥🟨🟫🟥🟥🟨🟫🟨🟥🟨🟫🟥🟥🟥🟨🟫🟥🟥🟫🟥🟥🟥🟥🟥🟥🟥🟥🟨🟫🟥🟨🟫🟨🟫🟥🟨🟫🟨🟫🟥🟨🟫🟥⬜ ⬜🟨🟨🟥🟥🟥🟫🟥🟥🟥🟫🟥🟫🟥🟨🟨🟨🟫🟥🟨🟫🟥🟥🟥🟥🟥🟥🟨🟨🟥🟥🟥🟨🟫🟥🟨🟫🟨🟨🟨🟫🟥🟨🟨🟨🟫🟥🟥⬜ ⬜⬜⬜🟨🟨🟨🟨🟥🟥🟥🟥🟥🟥🟥🟫🟫🟫🟥🟥🟫🟥🟥🟥🟨🟨🟨🟨⬜⬜🟥🟥🟥🟥🟨🟨🟫🟥🟥🟫🟫🟥🟥🟥🟫🟫🟥🟨🟨⬜ ⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜🟨🟥🟥🟥🟫🟫🟥🟥🟥🟥🟥🟨🟨🟨🟨🟨🟨⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜

⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟪🟪⬛⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟪🟪⬛⬛🟪⬛⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟪🟪🟪⬛⬛🟪⬛⬛⬛⬜⬜⬛🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟪🟪⬛⬛🟪🟪⬛🟪⬛⬛⬛🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟪⬛🟪🟪🟪🟪🟪🟪🟪⬛🟪🟪🟪🟪⬛⬜⬜⬛⬛⬛⬜⬜⬜ ⬜⬛⬜🟨🟪🟪🟪🟪🟪🟪⬛🟪🟨🟨🟪⬛⬛⬛🟨🟨🟨⬛⬛⬜ ⬜⬛⬛⬜🟨🟨🟨⬜⬜🟨⬛🟪🟨🟨🟪⬛🟨⬛🟨🟨⬛🟨🟨⬛ ⬜⬛⬛⬜🟨🟨⬜⬜⬛⬜🟪🟨🟨🟪⬛⬛🟨🟨🟨🟨🟨🟨🟨⬛ ⬜⬛⬜🟨🟨🟨⬜⬛⬛⬜🟪🟨🟨🟪⬛⬜⬛🟨🟨🟨🟨⬛⬛⬜ ⬜⬜⬛⬜🟨🟨🟨⬜⬜🟨⬛🟪🟪⬛⬜⬜⬛🟨🟨🟨🟨⬛⬜⬜ ⬜⬜⬜⬛⬜⬜⬜🟨🟪🟪⬛⬛⬛⬜⬜⬜⬛🟨🟨🟨🟨⬛⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬛🟨🟨⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟨🟨🟪⬛🟪🟪⬛⬛⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟨🟨🟨🟨⬛🟪🟪⬛🟪⬛⬜⬜⬛🟪⬛⬜⬜⬜⬜ ⬜⬜⬛🟨⬛⬛🟨🟨🟨🟪⬛⬛⬛⬛🟪⬛⬛⬛🟪⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬛🟪🟪🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨⬛⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦🟦⬛⬛⬛🟦🟪⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦⬛⬜⬜⬜⬛⬛🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦⬛⬜⬛⬛⬛⬛⬛🟪⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🟦⬛🟦🟦🟦🟦⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🟦🟪🟪🟦⬛⬛⬛⬛🟦🟪⬛⬛⬜⬜⬜ ⬜⬜⬜⬛🟦🟦🟦🟦⬛⬛🟦⬛⬜⬜⬛⬛🟪⬛⬜⬜⬜ ⬜⬜⬛🟦🟨🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬛🟪⬛⬛⬜ ⬜⬜⬛⬛🟦🟦🟦🟦🟨🟦🟦🟦⬛⬜⬜⬜⬜⬛🟦🟪⬛ ⬜⬜⬛🟨🟦🟦🟦🟦⬛🟦🟨🟦🟦⬛⬜⬜⬜⬛🟪🟪⬛ ⬜⬜⬛🟨🟦🟦🟦🟦🟨🟨🟦🟦🟦⬛⬜⬜⬜⬜⬛⬛⬜ ⬜⬜⬜⬛🟦🟦🟦🟨⬛🟨🟦🟦🟪⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬛⬛⬛⬛🟪🟦🟨⬛🟨🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟦🟦🟪🟪⬛⬛🟪🟨🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟪🟪⬛⬛🟪🟥⬛⬛⬛🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬜⬛🟦🟥🟦🟦⬛🟪🟦⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟦⬛🟨🟦🟦⬛🟦🟦🟦🟦⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛🟪🟪⬛🟦🟦🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜

⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜ ⬜⬛🟩🟩⬜⬛🟩🟩⬜⬛🟩🟩⬛⬜ ⬜⬛🟩🟩⬛⬜🟩🟩⬛⬜🟩🟩⬛⬜ ⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜ ⬜⬛🟨🟨🟥⬜🟥⬜🟥⬜🟨🟨⬛⬜ ⬜⬛🟨🟨🟥🟥🟥🟥🟥🟥🟨🟨⬛⬜ ⬜⬛🟨🟨🟥🟥🟥🟥🟥🟥🟨🟨⬛⬜ ⬛🟨🟨🟨🟥🟥🟥🟥🟥🟥🟨🟨🟨⬛ ⬛🟨🟨🟨🟥⬜🟥⬜🟥⬜🟨🟨🟨⬛ ⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛ ⬛🟥⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛🟥⬛ ⬜⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬜ ⬜⬜⬛🟥🟥🟥⬛⬛🟥🟥🟥⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬛⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🟩⬛⬛⬛🟩⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟩🟩🟩⬛🟩🟩🟩⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟪🟪🟩🟩🟩🟪🟪🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬛🟩🟪🟪🟩🟩🟩🟪🟪🟩⬛⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🟩🟨⬛🟩🟩🟩⬛🟨🟩⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟩🟨🟨🟩🟩🟩🟨🟨🟩⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪⬛⬛🟩🟩🟩🟩🟩⬛⬛🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪⬛⬛🟩🟩🟩⬛⬛🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪⬛⬛🟩⬛⬛🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟪🟪⬛⬛⬛🟪🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟪⬛🟪⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🟪⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏽⬛⬛🟪⬛⬛🏽⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏻🏻🏽⬛⬛🟪⬛⬛🏽⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻⬛🏽⬛🟪⬛🏽⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩⬛🏽⬛🟪⬛🏽⬛🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩⬛🏽⬛🟪⬛🏽⬛🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛🟪⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛⬛🟪⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛🟪🟫🟫⬛⬛⬛🟪⬛⬛⬛⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛🟪🟫🟫⬛⬛⬛🟪⬛⬛⬛⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬛⬜⬜⬜⬜⬜⬛⬛🟪🟫🟫⬛⬛⬛🟪⬛⬛⬛⬛⬛🟪⬛⬛⬜⬜⬜⬜⬜⬛⬜ ⬛⬛⬜⬜⬜⬜⬜⬛🟪⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛⬛⬛⬛🟪⬛⬜⬜⬜⬜⬜⬛⬛ ⬛⬛⬜⬜⬛⬜⬜⬛🟪⬛🟫🟫⬛⬛⬛🟪⬛⬛⬛⬛⬛⬛🟪⬛⬜⬜⬛⬜⬜⬛⬛ ⬛⬛⬛⬛⬛⬜⬛⬛🟪⬛🟫🟫⬛⬛🟪🟪🟪⬛⬛⬛⬛⬛🟪⬛⬛⬜⬛⬛⬛⬛⬛ ⬜⬛⬛⬛⬛⬛⬛⬛⬛🟪🟫🟫⬛🟪🟪🟪🟪🟪⬛⬛⬛🟪⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛🟪🟫🟫🟪🟪🟪🟪🟪🟪🟪⬛⬛🟪⬛⬛⬛⬛⬛⬛⬛⬜⬜

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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟨🟨🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟨🟨🟨🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟨🟨🟨🟨🟨🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟨🟨🟨🟨🟨🟨🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟩🟩🟨🟨🟨🟨🟨🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟩🟨🟨🟨🟨🟨🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟩🟨🟨🟨🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟩🟨🟨🟩🟩🟩🟩🟩⬜⬜⬜🟩🟩🟩🟩⬜🟩🟩🟩⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🟩🟨🟩🟩🟩🟩🟩⬜⬜🌫️⬛🟩🟩⬛🌫️⬜🟩🟩⬜⬜⬜⬜ ⬜⬜⬜⬜🟩🟩🟨🟩🟩🟩🟩🟩⬜⬜⬜⬛🌫️🟩🟩🌫️⬛⬜⬜🟩🟩⬜⬜⬜ ⬜⬜⬜🟩🟨🟨🟨🟩🟩🟩🟩🟩⬜⬜⬜⬛🏽🟩🟩🏽⬛⬜⬜🟩🟩⬜⬜⬜ ⬜⬜🟩🟨🟨🟨🟨🟩🟩🟩🟩🟩⬜⬜⬜⬛⬛🟩🟩⬛⬛⬜⬜🟩🟩⬜⬜⬜ ⬜⬜⬜🟩🟨🟨🟨🟩🟩🟩🟩🟩⬜⬜⬜🏽⬛🟩🟩⬛🏽⬜⬜🟩🟩⬜⬜⬜ ⬜⬜⬜⬜🟩🟨🟨🟩🟩🟨🟨⬜🟨⬜⬜⬜🟩🟩🟩🟩⬜⬜🟨⬜🟨🟩⬜⬜ ⬜⬜⬜⬜⬜🟩🟨🟩🟩🟨🟨🟨🟨🟩🟩🟩🟩🟩🟩🟩🟩🟩🟨🟨🟨🟩🟩⬜ ⬜⬜⬜🟩🟩🟨🟨🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜ ⬜⬜🟩🟨🟨🟨🟨🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜ ⬜⬜⬜🟩🟨🟨🟨🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🌫️⬜⬜⬜🟩🟩🟩🟩⬜⬜⬜ ⬜⬜⬜⬜🟩🟨🟨🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🌫️⬜🟩🟩🟩🟩⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟩🟨🟥🟥🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟩🟨🟥🟥🟥🟥🟩🟩🟩🟩🌫️🌫️🌫️🌫️🌫️🌫️🏽🟥🟥🟩⬜⬜⬜⬜ ⬜⬜⬜🟩🏽🟥🟥🟥🟥🟥🟩🟩🏽⬜⬜⬜⬜⬜⬜⬜🌫️🌫️🟥🟥🟩⬜⬜⬜ ⬜⬜🟩🏽🟥🟥🟥🟥🟥🟥🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜🌫️🟥🟥⬜🟩⬜⬜ ⬜⬜⬜🟩🟥🟥🟥⬜🟥🟩🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜🌫️🟥🟥🟥⬜🟩⬜ ⬜⬜⬜🟩⬜🏽🌫️⬜🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜🌫️🟩🟩🏽🟩⬜⬜ ⬜⬜🟩🟨🟨🟩🟩🟩🟥🟥🟥🟥🟥🌫️⬜⬜⬜⬜⬜⬜⬜🏽🟥🟥🟩🟩⬜⬜ ⬜🟩🟩🟨🟩🟩🏽🟥🟥🟥🟥🟥🟥🟥🌫️⬜⬜⬜⬜⬜🌫️🟥🟥🟥🟥🟥🟩⬜ 🟩🟨🟩🟩🟩🌫️🟥⬜🌫️🟥⬜🌫️🟥🟥🏽🌫️🌫️🌫️🌫️🏽🟥🟥🟥🟥⬜🌫️🏽🟩

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩⬛⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬜⬛🟩🟩⬛⬛⬜⬜⬜⬜⬛🟥🟥🟥⬛⬜⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛🟩🟩⬛🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬛🟥🟥⬛⬛🟩🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🟩🟩⬛🟩🟩⬛⬜⬛⬛⬛⬛🟩⬛🟥⬛⬛🟩🟩⬛⬛⬜⬜⬜ ⬜⬜⬜⬛🟩🟩🟩⬛⬜⬛🟩⬛⬛🟩🟩🟩🟩⬛⬜⬛⬛⬜⬛🟩🟩🟩⬛⬛⬜ ⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛⬛🟩⬛🟩⬛⬛🟩🟩⬛⬜⬜⬜⬛🟩🟩⬛🟩🟩⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩⬛🟩🟩🟩⬛🟩⬛⬛⬜⬜⬛🟩🟩🟩🟩⬛⬛⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩⬛⬛🟩🟩⬛🟩🟩🟩🟩⬛⬛🟩🟩⬛⬛🟩🟩🟩⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩⬛🟩🟩⬛⬛🟩🟩⬛🟩⬛🟩🟩⬛⬜⬜⬛⬛⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛🟩🟩⬛🟩🟩⬛🟩🟩⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩⬛🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩⬛⬛🟩⬛🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟦🟦⬛⬜⬜⬛🟩🟩🟩🟩🟩🟩⬛⬛🟩⬛🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬛🟦🟦🟦⬛⬜⬛🟩🟩🟩🟩⬛⬛🟩⬛🟩⬛🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬛🟦🟦🟦⬛⬜⬜⬛⬛⬛⬛⬛🟩⬛🟩⬛🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬛🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜⬛🟩🟩⬛🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬛🟦🟦⬛⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬛⬛⬜⬜⬜ ⬛⬛🟦🟦⬛⬜⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬛🟦🟦⬛⬜⬜ ⬛⬛🟦🟦🟦⬛⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬛🟦🟦⬛⬛⬛⬜ ⬜⬛⬛🟦🟦🟦⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬛🟦🟦⬛⬛⬛⬜ ⬜⬛⬛🟦🟦🟦⬛⬛⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬛🟦🟦⬛⬛⬛⬜ ⬜⬜⬛⬛🟦⬛⬜⬜⬜⬜⬜⬛⬛⬛🟩🟩🟩🟩🟩🟩⬛⬜⬛🟦🟦⬛⬛⬛⬜ ⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟩🟩🟩🟩⬛🟦🟦🟦⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟩🟩⬛🟦🟦⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟦🟦🟦⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜

⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⢀⣀⠘⠃ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⡶⠀⠁⠰⡆ ⠀⠀⠀⠀⠈⠛⣿⣿⠛⠁⠀⠀⠘⠋⢠⡄ ⠀⠀⠀⣠⣴⣶⣿⣿⣶⣦⣄⠀⠀⠀⠀⠁ ⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀ ⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀ ⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⢸⣿⣿⣿⣿⠟⠛⠛⠻⣿⣿⣿⣿⡇⠀⠀ ⢸⣿⣿⣿⡏⠀⠀⠀⠀⢹⣿⣿⣿⡇⠀⠀ ⢸⣿⣿⣿⣷⣄⡀⢀⣠⣾⣿⣿⣿⡇⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀

⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬛🏻🏻⬛⬜🏻🏻🏻🏻⬛⬜🏻🏻⬛⬜⬜ ⬜⬛🏻🏻🏻⬛⬛🏻🏻🏻🏻⬛⬛🏻🏻🏻⬛⬜ ⬜⬛🏻🏻🏻🏻🏻🏻⬛⬛🏻🏻🏻🏻🏻🏻⬛⬜ ⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫⬛ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛ ⬜⬛🟩⬛🟩🟩⬛⬛⬛🟩🟩🟩⬛🟩🟩⬛⬛⬜ ⬜⬛⬛🏻⬛⬛🏻🏻🏻⬛⬛⬛🏻⬛⬛🏻⬛⬜ ⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜

⠀⠀⠀⠀⠀⠀⢀⣠⡤⠴⠒⠒⠒⠒⠲⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠖⣋⣤⣶⣾⠿⠟⡻⠻⡍⢲⣦⣌⡛⢦⡀⠀⠀⠀⠀ ⠀⠀⣠⠞⣡⣾⣿⡿⠓⠁⡀⡌⠀⠁⠒⠚⠿⢻⣿⣦⡙⢦⡀⠀⠀ ⠀⣴⢃⣼⣿⢿⡏⢇⠱⢄⣣⢕⣤⣄⠁⠀⠈⠈⣿⢿⣿⣆⠻⡄⠀ ⢰⠃⡾⠻⢫⣾⡟⠖⠟⠋⡀⠈⠁⢀⣡⢄⠈⢰⣿⣾⠸⢻⡆⢻⡀ ⡟⢰⣏⡎⡤⣳⣿⣰⠗⢺⡦⠀⠀⠰⣿⣣⠷⢸⣿⣡⡅⣞⣿⠘⡇ ⡇⢸⠫⡄⡔⡏⣿⣧⡤⠀⠀⠀⠀⠀⠀⡘⢵⣿⡟⡗⡇⡬⢽⠀⡇ ⢷⠘⣷⣷⣹⠾⡻⣻⣧⡀⢢⡉⠛⣠⠊⠀⢺⡫⠿⢿⣧⣿⡿⢰⡇ ⠘⣆⠹⣩⣬⡝⣟⢿⣿⣿⡞⠉⠈⢹⣦⠄⠘⣟⡿⣭⣍⣹⢃⡾⠀ ⠀⠙⣆⠹⣿⣿⣶⣉⠉⠀⠀⠠⠤⡞⠙⠀⣠⣷⣾⣿⡿⢁⡾⠁⠀ ⠀⠀⠈⠳⣌⠃⠈⠙⠳⣄⣀⠀⢞⠁⠀⣠⠟⠉⠀⢈⣴⠏⠀⠀⠀ ⠀⠀⠀⠀⠈⠓⢦⣄⡀⠀⠉⠉⠹⣄⡠⢿⣄⣤⠶⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠒⠒⠛⢆⠁⠈⠧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀

⬜⬜🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟦🟦🟦🟦🟦🟦⬜⬜⬜⬜ ⬜⬜🟦🟦🟧🟧🟧🟧🟦🟦⬜⬜⬜ ⬜⬜🟦🟦🟦🟫⬜⬛🟧🟦⬜⬜⬜ ⬜⬜🟦🟦🟦🟦🟫🟫🟨🟨🟨⬜⬜ ⬜⬜⬜🟦🟦🟦🟨🟨🟨🟨🟨🟨⬜ ⬜⬜⬜🌫️🏽🟦🟦🟨🟨🟨⬜🟨⬜ ⬜⬜⬜🌫️🏽🟧🟧🟧🌫️⬜⬜⬜⬜ ⬜⬜🌫️🌫️🌫️🌫️⬛⬛🌫️🌫️🌫️⬜⬜ ⬜🌫️🌫️🏽🌫️🌫️🟫🟫🌫️🏽🌫️🌫️⬜ ⬜🟦🌫️🏽🌫️🌫️🟫🟫🌫️🏽🌫️🟦⬜ 🟦🟦🟦🟦⬛⬛🌫️🌫️⬛⬛🟦🟦🟦 🟦🟦⬜🟫🟫🟫🟫🟫🟫🟫🟫🟦🟦 🟦⬜⬜🟫🟫🟫⬜⬜🟫🟫🟫⬜🟦 ⬜⬜🏽⬛⬛⬜⬜⬜⬜⬛⬛🏽⬜ ⬜⬛⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟫🟧🟧⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬛🟧🟧⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛🟩⬛⬜⬜⬜⬛🟫🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛🟩🟩⬛⬜⬜⬛🏽🟫🟫🏽⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟩🟩⬛⬜⬜⬛⬛🟨🏽🏽🟨⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟩🟩⬛⬜⬜⬛🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜ ⬛🟩🟩🟩🟩⬛⬛🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬛⬛ ⬛🟩🟩🟩🟩🟩🏽🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬛⬛🟩⬛ ⬛🟩🟩🟩🟩🟩🏽🟨🟨🟨🟨🟨🟨🟨🏽⬛⬛⬛🟩🟩🟩⬛ ⬜⬛🟩🟩🟩🟩🏽🟨🟨🟨🟨🟨🟨🏽🟩🟩🟩🟩🟩🟩🟩⬛ ⬜⬜⬛🟩🟩🏽🟨🟨🟨⬜⬜🟨🏽🟩🟩🟩🟩🟩🟩🟩⬛⬜ ⬜⬜⬜⬛⬛🏽🟨🟨🟨⬛⬜⬜🏽🟩🟩🟩🟩🟩🟩🟩⬛⬜ ⬜⬜⬜⬜⬛🟨🟨🟨🟨⬜⬜🟨🏽🟩🟩🟩🟩🟩🟩⬛⬜⬜ ⬜⬜⬜⬛🏽🟨🟨🟨🟨🟨🟨🟨🟨🏽🟩🟩🟩⬛⬛⬜⬜⬜ ⬜⬜⬜⬛🏻🏽🟨🟨🟨🟨🟨🟨🏽🏽🏽⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛🏻🏻🏽🏽🏽🏽🏽🏽🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🟪🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🟪🟪🟪🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀ ⠀⢠⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠙⠻⣿⣿⣿⡄⠀ ⠀⣿⣿⣿⡇⢠⡄⠀⠈⣿⣿⣿⣿⣿⡇⠀⠀⠶⠀⣿⣿⣿⣿⠀ ⢰⣿⣿⣿⣧⡀⠀⠀⣠⣿⣿⠿⠿⣿⣿⣤⣀⣠⣴⣿⣿⣿⣿⡆ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠈⣿⣿⣿⣿⣿⠀⠙⢿⣿⣷⣤⣤⣾⣿⠿⠋⢀⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⣿⣧⠀⢄⡉⠉⠉⠉⢉⣀⡄⠀⣼⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⣿⣿⣧⣄⠙⠛⠛⠛⠛⢉⣠⣾⣿⣿⣿⣿⣿⣿⠀ ⠀⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠀ ⣼⡏⠀⠀⠉⣿⠉⠉⠉⠙⢿⡿⢿⡿⠋⠉⠉⠉⣿⠉⠀⠀⢹⣧ ⠙⠻⢶⣦⣼⣿⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⠀⣿⣧⣴⡶⠟⠋ ⠀⠀⠀⠀⠀⢻⣆⠀⣀⣴⡿⠛⠛⢿⣄⡀⠀⣰⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠿⠛⠁⠀⠀⠀⠀⠉⠛⠿⠋⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠳⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⢰⠌⠳⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⣡⠶⠞⠛⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⣡⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣦⡀⠀⢀⣴⠟⣡⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⠟⠁⠈⢻⣶⠟⣡⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠟⠁⠀⠀⢠⣞⣥⠾⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠛⠋⠀⠀⠈⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠷⢤⣤⣤⣤⡴⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣦⣶⣾⣶⣶⣶⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⢿⢿⣿⡿⣿⣿⠿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣭⡋⠂⠉⠀⠈⠈⡸⣿⣷⡾⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢼⣿⣿⠯⡀⠈⠀⠀⠀⠀⠀⢰⠣⡿⠋⣾⣿⡶⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠴⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⢀⠀⠈⠀⡼⠛⠩⢚⣩⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠴⣿⣿⣭⣍⡑⠀⠀⠻⠆⠀⢠⣸⠀⡀⢀⠀⡠⠞⠿⢻⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀ ⠀⠀⠀⢀⣽⡿⠛⣯⣟⡁⠀⠀⠀⠀⡀⢿⣿⠀⡿⠏⠀⠀⡐⣾⣿⣿⣿⣿⣿⣿⡦⡀⠀⠀⠀ ⠀⠀⠀⠰⣿⣷⢟⣿⢿⣯⣄⣀⣀⣠⣨⡊⠀⠀⠀⢘⣤⣤⣤⣴⣿⣿⣿⣛⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⣠⢾⡿⢱⢋⡀⠀⠀⠚⠿⢿⣝⣫⣿⠀⠀⢰⣿⣿⣯⡾⠛⠛⣒⠲⣿⣿⣿⣿⣟⢧⠀⠀ ⠀⠀⢡⣾⣣⢣⢋⢴⣗⡀⠀⠀⠀⠀⠈⣠⣾⣿⣦⡙⠙⠁⠁⢀⡀⣀⡻⣾⣿⣿⣿⣿⣆⠀⠀ ⠀⢠⣿⣵⡏⠀⣰⠻⠋⡠⠀⡀⠀⠀⠘⠳⠶⣷⠶⠟⠀⠀⡀⠀⡙⢿⣿⣿⣿⣿⣿⣿⢿⡆⠀ ⢠⢿⣿⣿⠁⣼⡃⠀⠚⡑⠛⣥⣮⠔⠀⠀⠀⠀⠀⠀⠐⠠⡪⣷⣸⣎⢿⣿⡻⣿⡿⣿⣧⠹⠀ ⠁⣼⡇⡏⢰⡿⠁⠀⠀⠀⠀⢨⡏⡦⠔⠒⠒⠓⠒⠠⢤⣶⣼⣿⣿⣿⣾⣿⣷⡙⣧⢻⣿⣧⠀ ⢰⣿⡇⠁⣿⠀⣴⢎⠎⠀⢀⣿⡗⠠⢀⠀⡖⢰⡶⣾⣿⣿⡿⣿⣿⣿⢻⡿⢻⣧⠸⣾⣿⣿⡄ ⢋⣿⢃⢠⡿⣰⠏⢀⡆⠀⢸⠃⠘⢁⠼⠀⠁⠀⠇⠁⢸⣿⡇⣿⣿⣿⠸⠁⢸⣿⠀⣿⣿⢿⡇ ⠈⣾⣾⣼⣧⡟⡀⣸⢀⠁⡟⢰⠀⢀⡂⢀⣠⢠⠀⡀⣸⣿⡇⢻⣿⣿⠀⠀⢸⣿⢠⣿⡿⠸⠃ ⠘⢹⠃⣿⣿⢱⣧⡏⢸⠀⠁⠉⠀⢸⣷⣾⣿⣾⣿⣷⣿⢻⡇⢸⣿⢸⢠⡇⣾⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⡟⠃⣿⣿⡇⢸⡀⠀⠀⠀⠸⢿⣿⠋⣿⣿⣿⣿⠸⡇⣾⢿⢸⣾⡇⣿⢿⡟⣿⠀⠀⠀ ⠀⠀⠘⠀⢰⠇⣿⣷⢸⣷⠀⣧⢠⠀⠈⠘⠀⢿⣿⢸⡟⠀⢰⣿⠀⢸⡇⣷⣿⠸⡇⢻⡀⠀⠀ ⠀⠀⠀⠀⠸⠀⡇⢻⣸⡿⠀⠻⡇⠀⠀⠀⠀⢠⠇⣿⠁⡀⣾⣿⠀⣾⣿⣿⠻⣇⣧⠈⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠇⠀⣧⡇⢀⡟⢸⡇⢰⣷⠉⣿⡄⣿⠈⢿⠀⠈⠻⡄⠈⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⠹⡌⣤⠀⠀⣿⢷⢸⡇⢸⣠⢼⣿⣇⣿⢷⣹⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢳⣿⣆⠀⣹⠘⣼⣿⣾⣿⣸⡸⠋⢿⡏⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠘⣆⡿⠀⢻⢿⠸⡟⠛⠇⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠘⠃⠀⠀⠘⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣶⣤⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢐⠁⠁⠀⠄⠀⠀⠀⠀⠀⠸⣿⣿⣿⡇⠀⢁⣑⠀⠀⠀⠀⠀⠀⠀⢄⠀⠑⠀ ⠀⠀⠀⠀⠀⠀⠠⣠⠀⠀⠀⣹⢿⡿⢿⣾⣿⡿⠀⠀⠀⠁⠰⢣⠄⡀⠀⠠⠈ ⠰⡈⠀⠀⠄⠠⠭⢀⣀⣠⣾⣿⣭⣿⣾⣟⠋⢀⠄⢒⣈⠉⢓⢒⠒⠒⠂⠀⠀ ⢀⠈⠢⢆⡀⠀⢰⣿⣟⣻⣿⣿⣿⣿⣿⡿⣷⡄⠈⠀⠀⠀⠀⠀⠀⠢⠀⠀⠀ ⠀⠀⠄⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣶⣶⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠛⣾⣿⣥⡀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⡿⣃⣈⠻⠿⠟⠛⠛⠓⢄⠈⠻⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠜⠉⠉⢁⣾⣿⣿⣶⣿⣶⡀⠀⠀⠀⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠌⠂⠈⠀⠀⠸⠿⠛⠉⢻⣿⣿⡇⠀⠀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⢦⣄⡤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⣳⣷⡷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⣉⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢫⡴⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣁⡀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢣⠤⠖⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡖⢚⣤⣶⣾⡏⣢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⡿⣿⠟⠀⠈⠻⣿⡟⣡⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢡⠀⠀⣀⣤⠀⠈⠁⠽⣰⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠔⢁⢿⢷⠈⣀⠀⠀⠀⢈⡌⠘⠠⡀⠀⠀⠀⠀ ⠀⠀⠀⣴⣷⣴⠁⢰⣵⣶⢿⠛⠁⡠⠋⠀⠀⠀⠈⠢⡀⠀⠀ ⠀⢠⢊⠉⢙⣿⡿⣿⣿⡿⠙⠶⠊⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀ ⠀⢀⠽⠀⣩⠤⢖⣚⣹⠁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⡀⢃⠀ ⠀⠙⠤⣄⠐⢛⣩⣤⡇⠀⢠⠔⡋⢤⣠⠴⠂⠀⠀⠀⢃⠈⠄ ⠀⠀⡴⠋⠀⠀⠠⢼⠁⢈⡤⠊⣀⠔⣷⠚⠓⠀⠀⠀⠈⣠⠂ ⠀⠀⠑⠒⡆⢀⣠⡇⠀⢀⡴⠊⣀⠔⠻⠴⠒⠀⠀⠀⠀⠃⠀ ⠀⠀⡀⠴⠋⠉⣼⠁⠀⠠⠳⠊⢁⠤⠊⣆⡤⠀⠀⠀⠀⢸⠀ ⡰⠋⠀⢖⡫⠛⠛⠀⠀⢀⠴⢾⠁⡠⠔⢻⡀⢀⠀⠀⠀⢸⠀ ⠉⠛⠉⠀⠀⠀⡆⠀⠀⠀⠱⠜⠋⢀⡤⢚⡏⠁⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠾⠻⠤⠾⠁⠀⠀⠀⠀⠆⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣻⣿⣿⣿⣶⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣡⣶⣿⣷⣶⣍⠻⣿⣿⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣷⡙⣿⣿⡆⠀ ⠀⠀⠀⠤⠤⠤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⡟⢻⣿⣿⣿⣇⢹⣿⣿⡄ ⠀⢰⡄⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⡟⣸⣿⣿⣇ ⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣙⠿⣿⣿⣿⠟⣱⣿⣿⣿⣿ ⣭⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣿⣿⡿⢟⣫⣷ ⠈⢻⡿⣶⣾⣭⣽⣛⣛⣿⣿⣿⠿⠿⠿⠿⣿⣿⣿⣛⣛⣻⣭⣽⣷⣶⣿⣿⣿⡏ ⠀⠈⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⠀⠈⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀ ⠀⠀⠀⠀⠈⢉⣉⣩⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠛⠛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⣴⣮⣷⣶⡶⣾⣽⣶⢤⡀⠀⠀⠀ ⠀⠀⢠⣾⣿⢧⣾⣿⣿⣧⣿⣿⣿⣷⡱⡄⠀⠀ ⠀⣠⣿⣿⣯⣿⣿⣿⣿⡿⣼⣻⠿⠟⠛⠻⢦⡀ ⡼⠁⢿⣟⣎⣿⣿⠿⠟⠃⠉⠀⠀⠀⠀⠀⠀⣷ ⢳⡀⠀⠀⠀⠀⠀⠀⠀⣀⡠⡤⢲⣾⡏⢱⡠⠃ ⠀⠉⠲⡲⠒⠒⡖⠚⠿⢿⠃⠡⡀⠉⢁⠞⠀⠀ ⠀⠀⠀⠘⠳⢄⣘⢤⣀⠈⢂⣤⠴⠚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟧🟫🟫🟫⬛⬛🟫🟫🟫🟧⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧🟫🟫🟫🟫🟫🟫🟧🟧🟧⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬜⬛🟧🟧🟧🟧🟧🟫🟫🟫🟫🟧🟧🟧🟧🟧⬛⬜⬛⬛⬜⬜ ⬜⬛🟫🟫⬛⬛🟧🟧🟧🟧⬛⬛⬛⬛⬛⬛🟧🟧🟧🟧⬛⬛🟫🟫⬛⬜ ⬛🟫🟧🟧🟫⬛🟧🟧🟧⬛🏻🏻🏻🏻🏻🏻⬛🟧🟧🟧⬛🟫🟧🟧🟫⬛ ⬛🟫🟧🟧🟫⬛🟧🟧⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛🟧🟧⬛🟫🟧🟧🟫⬛ ⬛🟫🟧🟧🟫⬛🟧⬛🏻⬛⬛🏻🏻🏻🏻⬛⬛🏻⬛🟧⬛🟫🟧🟧🟫⬛ ⬛🟫🟧🟧🟫⬛⬛🏻⬛🟫⬜⬛🏻🏻⬛⬜🟫⬛🏻⬛⬛🟫🟧🟧🟫⬛ ⬛🟫🟧🟧🟫⬛⬛🏻⬛🟫🟫⬛🏻🏻⬛🟫🟫⬛🏻⬛⬛🟫🟧🟧🟫⬛ ⬛🟫🟧🟧🟫⬛⬛🏻🏻⬛⬛🏻🏻🏻🏻⬛⬛🏻🏻⬛⬛🟫🟧🟧🟫⬛ ⬛🟫🟧🟧🟫⬛⬛🏻🏻🏻🏻🏻⬛⬛🏻🏻🏻🏻🏻⬛⬛🟫🟧🟧🟫⬛ ⬜⬛🟫🟫⬛⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬛🟫🟫⬛⬜ ⬜⬜⬛⬛⬜⬜⬜⬛🏻🏻🏻⬛🏻🏻⬛🏻🏻🏻⬛⬜⬜⬜⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻⬛⬛🏻🏻🏻⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛⬛⬛⬛⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🏻🏻🏻🏻⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🟪🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🟪🟪🏻🏻🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻⬛⬛🏻🏻🟪🏻🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬛⬛⬜⬛🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🏻🏻🏻🏻⬛⬜⬜⬜⬛🟪🏻🏻🟪🟪🟪⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻⬛⬛⬜⬜⬛🟪🟪🟪🟪🏻⬛⬜⬜⬜⬜ ⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🟪🟪⬛⬛⬛🏻🏻🏻🏻🏻🟪⬛⬜⬜⬜ ⬜⬛🟪🏻🏻🏻🟪🏻🏻🟪⬛🟪🟪🏻🟪🟪⬛🏻🏻🏻🟪🟪⬛⬜⬜⬜ ⬜⬛🟪🟪🏻⬛🏻🟪⬛⬜🟪🟪🏻🏻🟪🟪⬛🟪🟪🟪🟪🏻⬛⬜⬜⬜ ⬛🏻🏻🟪🟪⬛⬛⬛⬜⬜🟪🏻🏻🟪🟪🟪⬛🟪🏻🏻🏻⬛⬜⬜⬜⬜ ⬛🟪🏻🏻🏻🏻🏻🏻🏻🏻🏻🟪⬛🟪🟪⬛🟪🟪🟪🟪🟪⬛⬛⬜⬜⬜ ⬜⬛🟪🏻🏻🏻🟪⬛⬛🟪🟪🟪⬛⬛🟪⬛🟪🟪🟪🟪🟪⬛🟪⬛⬛⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛🏻⬛⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛ ⬜⬛🏻🟪⬛⬛⬛🌫️🌫️⬛🟪⬛⬛🏻🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬛ ⬛🏻🏻⬛⬛⬛🌫️🌫️⬛⬛🏻🟪🏻🏻🟪🟪⬛⬛🟪🟪🟪⬛🟪⬛⬛⬜ ⬛🟪🏻🏻⬛⬛⬛⬛🟪🏻🏻🏻🏻🏻🟪⬛🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜ ⬜⬛⬛🏻🏻🏻🏻🏻🏻⬛⬛🏻🏻🟪🟪🟪🟪🟪🟪⬛🟪🟪🟪⬛⬜⬜ ⬜⬛🏻⬛⬛⬛🏻🏻⬛🟪🟪⬛🟪🟪🟪⬛⬛⬛⬛🟪🟪🟪⬛⬛⬜⬜ ⬜⬜⬛⬛🟪🟪⬛⬛🟪🟪🟪🟪🟪🟪⬛⬛🟪🟪⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🟪🟪⬛⬛⬛🟪⬛⬛⬛🟪🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬛🟪🟪🟪⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠛⠄⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⣵⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢿⣿⣿⣷⣶⣤⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠋⠘⣿⣿⣧⣾⣿⡿⠶⣧⣀⣀⣠⡴⣶⣦⣄⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣆⠀⠙⠿⠿⢟⠁⠀⠀⠀⠉⠛⣾⣶⣿⣿⡟⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⢸⣿⣽⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠘⣿⣷⣶⣤⣶⡾⠀⠀⣉⠋⠉⠀⠀⠀⠀⢠⣿⣧⠀⠀⢀⡀⢸⣿⣿⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠁⠀⠀⠘⠿⠿⣯⣭⠴⠖⠉⠉⠑⠄⠀⠀⢀⣴⣿⣿⣷⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣄⡀⠈⢧⡀⠀⠀⠀⠀⠤⠚⠀⠀⣠⣴⣿⣿⣿⣻⣿⣷⣄⠙⢿⣧⣽⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣶⣤⣝⣀⣀⣀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⢻⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⡀⠀⠀⢀⣼⣿⣿⣿⡿⠿⠟⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣀⣿⣿⣧⣴⣾⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠿⠿⠿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡏⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣸⣿⣿⣿⡟⡟⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣿⣿⣿⢿⠗⠃⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡔⠋⣧⣷⠈⣻⣿⠂⠤⢀⠄⠛⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠻⣿⣧⠀⣹⡿⠛⢽⣯⣍⣶⣿⠿⠓⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠇⡻⢷⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡖⢻⣟⣿⣀⣠⣿⣿⣛⢉⣠⣮⠿⠛⠋⠁⠀⠀⠀⣀⣠⣾⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⠂⠛⠻⢏⡻⣿⣿⣶⣶⣶⣶⣶⣿⣿⣋⣽⣿⣿⡾⣿⣿⣿⠿⠟⠚⠉⡉⠅⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⠇⢠⠀⠀⠿⣄⡉⠙⣻⣭⣿⣿⣽⣿⠿⣿⢭⠉⣴⣿⡟⣣⣴⡶⠾⠛⠁⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣦⣈⡀⠀⠀⠈⠉⠀⠉⠁⠀⠀⢩⡁⡀⣉⣀⣼⣟⡋⡉⠛⣉⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣶⣶⣾⣶⣶⣶⣾⠟⠛⠛⠛⠉⠉⠙⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣿⣿⣿⣿⣛⡋⠉⢠⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⢰⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠶⠾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⠟⣁⣠⠴⠖⠛⠉⢳⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⢿⣿⡟⢵⣾⣯⠔⠒⠻⣄⢸⣿⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠓⠛⠒⠺⠿⣿⣿⣿⣯⣿⣽⣿⡇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⣠⣶⣦⣼⢿⣶⡟⢷⡯⢳⣿⢶⣿⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡟⠿⠟⠋⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⢣⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣀⡤⠤⢤⣀⠀⢀⣀⣀⣶⠻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢠⠞⢱⣀⠀⠀⠈⢻⡁⠀⢀⡈⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⣿⠀⠘⠛⠁⠀⠀⢀⡇⠀⠘⠛⠉⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠘⢧⣀⠀⠀⠀⣠⡾⠓⠒⠢⣄⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣽⣷⡇⠀⠀⠉⠉⠓⠛⠁⠀⣤⣤⡴⠏⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⡽⠏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⢀⣀⣀⡀⠀⢠⡇⠀⠀⠈⠈⠙⠛⠒⣶⠖⠒⠒⠚⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠶⠚⠉⣉⡉⠉⠙⢻⡍⠙⠲⣾⣦⣀⠀⠀⠀⠀⢀⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡅⠀⠀⠀⠈⠙⠲⢤⣼⡇⠀⠀⠘⣧⠈⠉⠛⠛⠛⠋⢻⢿⡏⢵⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢧⡀⠀⠀⢀⡀⠀⠀⠀⠹⣦⢠⣾⠏⠀⠀⠀⠀⠀⠀⠸⣇⣧⠀⠈⣿⠉⢲⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⣻⠦⣼⣇⠀⠀⠀⠀⣿⣿⠯⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣆⣿⡿⡆⠈⠑⣌⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠇⢠⠏⣿⣠⡟⠀⣆⣿⡿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡙⢟⣻⠗⠆⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⣤⣴⣿⠀⣿⠀⡟⡿⠳⠚⢉⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣎⢻⡀⠀⢀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡿⢿⣿⣿⠀⣿⢰⡆⡇⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⢷⢰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣾⣻⣿⠀⣿⠀⡇⡇⠀⠀⣿⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣼⡿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠛⠋⣹⠀⣿⠀⡇⢇⠀⠀⠘⣷⣤⣄⣀⡀⠀⠀⠀⠀⢀⣀⣀⣤⡶⠾⣻⣿⣻⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⠀⣿⠀⡇⢸⠀⠀⠀⠙⡆⠈⠉⠉⠛⠛⠛⠛⠛⠉⠉⠁⣀⣼⠇⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⢹⠀⢣⢸⡇⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⣤⡤⠶⠛⠉⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⢸⠀⢸⢼⡇⠀⠀⠘⠳⠶⢤⣄⣀⣀⣠⣤⠟⠓⠶⣶⡖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣤⣤⣾⡆⠸⡀⢸⠀⡇⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠈⠳⠤⣴⡛⠳⣏⣻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⡿⢿⣿⡇⠀⡇⠘⡄⢷⠀⠀⠀⠀⠀⠀⠙⣆⡀⠀⠀⠀⠀⠈⢸⡆⣿⣯⣿⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣷⣿⣽⣇⠀⡇⠀⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠙⡖⠲⠤⠤⢶⣟⣠⠏⠀⠀⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠛⠛⠉⢹⡀⢹⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⣴⢿⡖⠦⠤⠤⠚⠻⣄⠀⣼⢻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢷⡘⢧⣀⢰⠇⠀⠀⠀⠀⠀⠀⠠⡿⣾⣄⠀⠀⠀⠀⠀⣹⣾⣫⠏⢀⣀⣤⣤⠀⣴⣄⣤⣄⡀⢀⣀⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠲⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠤⣉⣉⣉⣉⣩⡥⠟⠁⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠈⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⡀⢀⡤⢶⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⣿⣿⣿⣿⡏⣰⡿⠋⠋⣿⡇⣰⣾⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠁⣼⡟⠸⠛⡉⢻⣯⠴⠶⠦⣼⣿⣿⡟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠁⢀⡟⠀⡠⠞⠛⠛⠳⢦⡀⠀⠀⠙⢿⣿⣷⡦⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣶⣶⣤⣀⣸⠀⢸⣧⡾⠁⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠻⡏⠀⣈⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠾⠛⠛⠛⣿⣿⡆⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⢹⡀⠻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⡿⢋⡦⠤⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠈⡇⠀⢹⣈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡇⢰⠛⠀⢁⡘⣇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⡴⢺⡇⠀⢨⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣤⣠⣼⡇⠘⢧⣀⣀⣀⣠⣤⡶⠚⣹⡭⢤⡏⠀⢀⡾⢀⣿⡟⠓⠲⡏⠙⢳⡖⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣿⠉⠉⠀⢧⡀⠀⠙⠣⢤⣀⣀⡠⠾⣥⣤⡾⠥⠴⠟⠰⣿⣿⡇⠀⠀⣻⠀⠀⣇⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣻⡿⠛⢳⡆⠈⠳⣄⡀⠀⠀⠀⠀⠀⣀⡴⠋⠀⢀⣴⣷⠞⠋⠁⠙⠦⠴⢯⣤⠼⠋⠙⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣾⠏⠀⠀⣼⣧⡴⠒⢮⡉⠛⠒⠒⠚⠉⠁⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⣤⡤⠤⠶⠶⠶⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡞⠹⠀⠀⢸⣿⠏⠀⠀⣼⣧⣶⡄⠀⣀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡀⠀⠀⠈⠉⠀⠀⠞⠋⠉⠉⠉⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⣠⣤⣤⣀⡀⠀⠀⠀⢷⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⢦⣀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡿⠟⠛⢷⠀⠀⠀⠘⣆⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⣿⠛⠃⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠉⠉⠉⠀⠀⠀⠸⡇⠀⠀⠀⢹⡄⡼⠛⡆⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⢾⠀⠀⠀⢀⣴⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⣦⡄⠀⠀⣷⠀⠀⠀⣰⣿⠷⠞⠛⠋⠉⠉⠉⠉⠉⠉⠙⠲⢦⡀ ⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⣠⠖⠋⠙⢿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠦⠶⣿⣷⡤⠤⠀⠀⠸⣧⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠰⣿ ⠀⠀⠀⠀⠀⠀⢳⠀⠀⢀⣠⠴⠋⠁⠀⠀⠀⠀⠙⠻⢧⣴⣶⣾⡆⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⢸ ⠀⠀⠀⠀⠀⠈⢛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢼⡿⡿⠿⠶⠿⡿⠿⠿⠷⠶⠦⣤⣤⣤⣤⣤⣤⣤⣤⡤⠾⠷⠶⠶⠶⠤⠤⠤⠤⢶⣤⣀⣤⠾⠿⣦⣀⣀⣤⣾⣀⣠⣾

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡶⠶⣖⠚⠛⠛⠛⠛⠛⢷⡶⠤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⣶⣾⠉⠉⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠈⠉⢳⡶⢤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠚⠉⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠿⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡝⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣼⣫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⡃⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠏⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⢨⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠘⠀⠀⠡⣿⣟⣲⡄⠀⠀⠀⠀⠀ ⠀⠀⢠⡾⠛⠋⠁⠀⠀⠀⠀⠀⠲⢤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠛⠁⠀⠀⠀⠀⠀⠀⠀⠙⣿⣯⡇⠀⠀⠀⠀⠀ ⠀⢀⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠬⠯⢭⣙⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⡽⠷⠒⠒⠲⠦⣀⠀⠀⠀⠀⠀⠀⠀⣻⡽⠁⠀⠀⠀⠀⠀ ⣴⣯⡏⠛⠀⠀⠀⠀⠀⠀⠀⠀⣰⠞⠉⠀⠀⠀⠀⠈⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⢠⢠⠏⠀⠀⠀⠀⠀⠀⠀ ⢿⡆⠸⣆⠀⠀⠀⠀⠀⠀⠀⣸⣓⠒⠒⠒⠤⠤⠤⠤⢄⣈⣧⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⣸⣁⣠⠤⠤⠴⠒⠚⠛⠋⠉⣧⡀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠳⢦⣿⠀⠀⠀⠀⠀⠀⠀⣿⠟⠁⠀⠀⠀⠀⢀⣀⣀⣀⣽⠀⠀⠀⠀⠀⠀⠀⠘⠳⣄⠀⠀⠀⠀⢿⣛⣁⣀⣀⣀⣀⣀⣀⣀⣀⡟⠁⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠘⣟⠛⠛⠉⠉⠉⠉⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠈⢻⣄⠀⠀⠀⠀⠀⠀⢈⡿⠁⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⣀⠀⠀⠀⠀⠘⠦⣄⣀⠀⠀⠀⣀⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢠⣄⡀⠀⠀⠀⠀⠉⠓⠶⢤⡤⠴⣶⣋⣠⠞⢉⣀⡀⠀⠀⠀⠀⢀⠀⠀⢀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⡀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⠒⣾⠗⠀⠀⠀⠀⠀⠀⠀⣰⠖⢦⡿⠙⣧⡀⢸⢉⣷⡄⠀⡤⠶⢿⣷⣴⡾⠿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠚⠁⠀⠀⠀⠀⠀⣀⣀⣴⣿⢠⣾⣷⢸⣿⢿⣿⡀⣿⣿⣿⣀⢠⣶⣿⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡾⢿⣻⣿⣿⠘⣿⣿⡈⣿⣧⣿⣧⠸⣿⣿⠏⠉⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⣲⠖⠶⠤⣤⣤⣤⣤⡤⠤⠤⠖⠒⣶⣿⣯⣿⣶⣿⣿⣿⢿⡄⣿⣿⣧⢸⣿⣿⣿⣧⡘⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠙⢿⣿⣧⡀⠀⢠⣶⣛⣹⡿⣿⣿⡿⠋⠉⣸⣷⡘⣿⣿⣇⠘⣿⡿⢏⠙⠞⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣄⣀⣀⣩⣿⠁⠈⠉⡀⡀⣀⣿⣿⣷⡈⢿⡿⢧⡀⠁⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣧⣤⣴⣶⣿⣿⣿⣿⠛⠛⠻⣄⠀⢸⠛⢦⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⢈⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢙⡿⠛⢯⣉⡻⣿⣿⠈⠳⣄⠀⠈⠙⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⢀⣴⠟⡁⠉⠻⢦⣤⡀⠀⠀⠀⠀⣾⠁⠀⠈⣭⣿⢿⡏⢀⡴⠛⣷⣖⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⠶⠟⠋⠁⠀⠀⠀⠀⠀⠈⠛⠻⠶⣤⣤⣿⣤⠤⢤⣼⣿⠳⢤⣿⠀⢸⣷⢿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣇⣀⣨⣿⣿⠁⠀⠈⢳⣻⠟⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⡟⣿⡏⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠄⠀⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⠿⠛⠁⠀⢠⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠘⣇⠀⠀⠀⠀⠀⠀⠀⠨⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠁⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⣿⠀⠀⠀⠀⠀⠀⢠⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⢻⡇⠀⠀⠀⠀⠀⢀⣠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠻⠶⢤⣤⣤⣤⣄⣀⣤⣿⡇⠀⠀⢸⡷⠶⠶⠶⠾⠛⠛⠛⠉⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⢀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⠀⢤⣤⣴⣤⣤⣀⣀⠰⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠾⠃⠀⠀⠘⠳⢤⣄⣀⡀⠀⠀⠀⠀⠈⢀⣤⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠒⠒⠒⠋⠉⠉⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠟⠛⠛⠛⠻⠿⢿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠋⠀⠀⠀⠀⠀⠂⠀⠀⠀⠙⠻⢿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⠃⠀⠀⠀⠀⣰⣤⣤⣤⣤⣤⣴⣴⣤⣽⣿⣿⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⡏⠀⠀⠀⠀⢰⣿⣿⠛⠛⢻⡍⠉⠉⠉⠙⠛⠻⣿⣿⣦⠀⠀ ⠀⠀⠀⠀⢀⢠⣿⣿⠃⠀⠀⠀⠀⣿⣿⡏⣧⠀⠀⠓⠀⠀⠀⠀⠀⠈⠈⢿⣿⣷⠀ ⠀⢠⣶⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢻⣿⣧⠈⠳⠶⠤⠤⠤⠴⠶⠶⠞⠛⢹⣿⣿⠀ ⠀⣿⣿⠀⠀⢸⣿⡿⠸⡄⠀⠀⠀⠘⣿⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⡿⠃⠀ ⢸⣿⣿⠀⠀⢸⣿⣇⠀⢷⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠸⣿⣿⠀⠀⢸⣿⣿⠀⠘⡆⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠉⠉⠀⣿⣿⣿⡆⠀ ⠀⣿⣿⠀⠀⢸⣿⣿⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀ ⠀⣿⣿⠀⠀⢸⣿⣿⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⣿⣿⡇⠀ ⠀⣿⣿⠀⠀⢸⣿⣿⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⢸⣿⣿⡇⠀ ⠆⣿⣿⡇⠀⠸⣿⣿⡄⠀⠀⠀⠈⠓⠒⠀⠀⠀⠀⠀⠀⠀⠚⠁⠀⠀⢸⣿⣿⡇⠀ ⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⢸⣿⣷⣶⣶⣿⣿⡇⠀⠀⠀⠀⠀⢰⣶⣶⣶⣶⣶⣶⡾⠿⠂⠀⠀⢸⣿⡿⠀⠀ ⠀⠀⠈⠙⠛⠛⢿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⠟⠛⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⡗⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⣿⣧⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣧⣀⣀⣀⣀⣠⣿⣿⣿⣷⣤⣿⣿⣤⣀⣀⣤⣴⣿⣿⠀⠀⠀ ⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⣩⣿⣝⣛⠿⠿⣿⠿⠟⣿⣛⣿⣶⣄ ⠀⠀⠀⠈⠻⢿⣿⣿⣷⣶⠉⠙⠁⠶⠶⠾⠿⠿⠿⠿⠿⠷⠷⡶⡶⣀⣿⣿⣿⡿⠏ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠿⠿⠷⠶⠶⠾⠾⠿⠟⠛⠛⠛⠛⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠖⠒⠛⠋⠁⠀⠀⠛⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠏⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠉⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡀⠀⠀⠀⣴⣿⡿⠁⠀⠀⠀⠀⣤⠄⠀⠀⠀⠀⠘⣦⡀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⢿⡇⠀⣠⡾⠛⠋⠁⠀⠀⡴⣂⡼⠛⣦⠀⠀⠀⠀⠀⠈⠳⡆⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠒⠒⠛⠻⣿⠄⢀⣷⣴⠃⠊⠀⠀⠀⠠⠶⣴⣟⣢⡤⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⠞⠋⠙⠓⠶⣶⠶⣦⣤⣀⣀⠉⠉⠉⠉⠙⠓⠂⠀⠀⠀⠀⠀⢠⠀⠀⠀⢸⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠿⠶⣶⣤⣤⣀⣀⣀⣀⣈⠘⠀⠀⣸⠀⣸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡴⠶⠶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠛⠛⠛⠻⣦⣿⣷⣿⣧⣄⣀⣠⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⡋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⣒⣿⣧⠤⠤⢤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣾⣷⣿⡿⠛⠁⠀⠀⠀⢶⡀⠈⠉⠉⠉⠙⠒⠒⠶⠦⠤⣁⣒⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣧⠀⠀⠀⠀⠀ ⣠⣤⣦⠤⣤⣤⣴⣟⡟⣿⠋⠀⠀⠀⢀⣀⣀⠀⢹⡄⠀⠀⠀⠀⠀⣀⡤⠖⠒⠀⠉⢹⣶⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀ ⣿⣽⣿⣄⣀⣠⡟⣿⢱⡇⠀⠀⠀⣴⣿⣿⡉⠀⣼⡇⠀⠀⠀⢠⡾⠉⠀⠀⠀⠀⠀⠀⠈⢧⡀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀ ⠁⠀⠀⠀⠀⢙⡇⣿⠘⡇⠀⠀⠸⣟⢿⣿⣿⣿⡿⡇⠀⠀⢀⡏⠀⢀⣴⣿⣿⠉⢠⡄⠀⠀⢷⡀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢷⠹⡄⢷⡀⠀⠀⠙⠳⢿⡾⠛⣁⢀⣀⡀⢸⡇⠀⢸⢿⣿⣿⣷⣿⡇⠀⠀⢸⠇⢀⣿⠶⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠀⠀⠀⠀⠀⠈⢿⣝⠦⣽⢦⣀⣀⣀⣴⣾⣯⠭⠤⣤⣉⢷⣷⡀⠈⠻⣍⣿⡿⠟⠁⠀⢀⠟⠀⣸⣿⣡⡀⠀⠉⠙⠻⠳⠶⢤⣀⣀⠀⠀⠀⠀ ⠀⡄⠀⠀⠀⠀⠀⠀⠙⠳⠶⣤⣤⣤⡶⠛⠁⠀⠀⠀⠀⠉⠳⣝⠻⣦⣀⠀⠀⠀⠀⣠⡴⠋⠀⣰⠏⠀⠉⠙⠛⠒⠲⠦⣤⣄⡀⠀⠋⠛⣶⣤⠀ ⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⠀⢠⣿⣿⠀⢠⣶⣦⡀⠈⢳⣤⣀⡉⠀⠈⠉⣀⣠⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠦⢽⣾⠀ ⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠐⣄⠛⠛⠀⠘⠿⠟⠁⠀⠀⠈⠉⠙⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⠀ ⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠈⠷⣆⡀⠀⠉⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀ ⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠙⠻⣷⣶⣤⣤⣤⣄⣀⣀⣀⣠⣤⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠓⢦⡀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣶⣶⣶⠤⠤⣤⣤⣤⣤⣠⡤⠤⠶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡀⠀⠀⠀⢀⣠⡴⠶⢟⣻⠿⠋⠉⠻⣿⣸⠟⠁⠀⠀⠉⠋⠛⠛⠛⠟⠻⢶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⡛⠀⠸⢻⡟⠫⡄⢰⣿⣿⠃⠀⠀⠀⢻⠝⠀⠀⠀⠀⠀⠀⠀⢸⣦⠀⠀⠀⠈⠛⢿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣟⠉⠳⠀⢰⡀⢿⣶⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣄⡀⠀⠘⢦⣿⡿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⡞⠋⠀⢸⡇⢀⣿⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣷⣿⣾⣿⠃⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⠿⢦⡼⠾⠛⠋⠛⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣄⣻⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣧⣄⣀⡀⠀⠀⠀⠀⠀⠀⢀⣠⢶⣿⡄⠘⠇⣼⣧⣹⡟⢻⡏⠻⣿⣷⡄⠀⠈⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⠀⡟⠉⠉⣽⠓⣦⢀⣴⡿⣧⣠⣿⠘⠛⠁⢀⣴⡟⣷⡿⠃⢸⣿⠀⠀⠙⢿⣆⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡟⣿⡶⢤⡿⠷⣾⢿⠟⠈⢿⣿⣿⣄⣀⡴⠛⢀⣿⢿⣿⠀⣀⣿⣧⣴⣦⠀⣽⠀⢀⣀⢣⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⠳⣾⣧⣼⣧⡎⠀⣀⠈⢣⣿⣿⠟⢷⣾⣿⣇⢈⡿⠀⣿⣿⣿⣤⣼⣤⣧⣴⣛⡉⣹⣿⡟⣛⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣽⡇⠀⢸⣿⣿⣯⣛⣚⣛⣛⣿⣿⡇⡶⢸⣿⠸⣿⣿⣷⣴⡟⠿⣿⣿⠿⣿⣿⣿⣿⣿⡏⢹⣷⡟⠻⣧⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢻⣿⣿⣷⣶⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣽⡿⢶⣄⢹⣿⣷⣿⣿⣅⣉⡿⠃⠘⠃⠁⠀⠈⢷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⠷⠶⠶⢶⣿⣿⣷⣶⣿⣿⣿⠿⠿⢿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠈⣷⡄ ⠀⠀⠀⠀⠀⠀⠰⢿⣤⠴⠞⠛⠿⣿⣿⣿⠿⠿⠿⣿⣿⠿⣿⣿⠉⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⡟⣿⡌⠉⠙⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣇⠀⠀⠀⠀⢸⣿⠀⠈⢻⣆⠀⠀⣀⣠⡀⠀⢿⣿⣿⣿⣿⠀⠘⣿⡀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⡀⠀⣸⣿⡇⠀⢸⣿⣿⣿⠿⠿⠻⣿⢰⣿⣿⣿⣿⣿⡇⢻⣧⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⡀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣛⡳⠌⠙⠉⠉⠙⢻⣿⣿⣿⣦⣾⣿⠯⠀⠀⠐⣂⠽⣟⣻⣿⠿⣿⣿⣿⣶⣿⣿⣄⣸⡇⠀⠀⢰⣀⣀⣀⣿⡿⠁ ⠀⠀⠀⠀⢀⡤⠶⠟⠉⠁⠀⠀⢀⣠⠴⠟⠁⠀⣀⣿⢿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢤⣜⠋⢿⡄⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠟⠁⠀⠀⢀⣠⡴⠚⠛⠀⣌⣙⠒⠿⠟⢁⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣾⣿⣷⠀⢠⡶⠋⠁⠀⠀⠀⠀⠀⠙⣷⣦⣾⣿⣿⣿⠃⠀⠀⣠⣶⣶⣶⣄⠀⢠⠔⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣧⣾⣤⣀⣀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⠀⣰⣴⣿⣿⣿⣿⣿⣤⣾⣤⣤⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬛⬛⬛⬛🏼🏼🏼🏼🏼⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬛🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛⬛🏼🏼🏼🏼🏼🏼⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬛⬜⬛⬛🏼🏼🏼🏼⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬜⬜⬜⬛⬜⬛🏼🏼🏼🏼⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬜⬜⬛⬛🏼🏼🏼⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛🏼🏼🏼🏼🏼🏼🏼🏼🏼⬛⬜ ⬜⬜⬜⬜⬛🏼🏼🏼⬛⬜⬛⬛⬛⬛⬛🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼⬛⬛⬛⬛ ⬜⬜⬜⬛⬛🏼🏼⬛⬛⬛🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛ ⬜⬜⬛🏼🏼🏼⬛🏼🏼🏼🏼🏼🏼🏼🏼⬛⬛⬛⬛⬛⬛⬛🏼🏼🏼🏼🏼🏼⬛⬛⬛⬛⬛ ⬜⬜⬛🏼🏼🏼⬛🏼🏼🏼🏼⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🏼🏼🏼🏼🏼🏼🏼⬛ ⬜⬛⬛🏼🏼⬛🏼🏼⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🏼🏼🏼⬛⬜ ⬜⬛🏼🏼🏼⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜ ⬜⬛🏼🏼⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬛🏼🏼⬛⬜⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬜⬜ ⬛🏼🏼⬛⬜⬜⬜⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬛🏼🏼⬛⬜⬜⬜⬜⬛⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🏼🏼🏼🏼🏼🏼🏼⬛⬜⬜⬜⬜ ⬛🏼🏼⬛⬜⬜⬜⬜⬛⬛⬜⬛⬛⬛⬛⬛🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼🏼⬛⬛⬜⬜⬜⬜ ⬛🏼🏼⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛🏼🏼🏼🏼🏼🏼🏼🏼⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬛🏼⬛⬜⬜⬜⬜⬛🏼🏼🏼🏼🏼🏼🏼🏼⬛⬛⬛⬛⬛🏼🏼🏼🏼⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬛⬛⬜⬜⬜⬜⬛🏼🏼🏼🏼⬛⬛⬛⬛⬛⬛🏼🏼🏼🏼🏼🏼🏼🏼🏼⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛🏼🏼⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟦🟩🟩🟩🟩⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟦🟦🟩🟩🟩🟩🟦🟩🟩⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟦🟦🟩🟩🟩🟩🟩🟩🟩🟩⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟦🟦🟩🟩⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩🟩🟩🟦🟦🟩🟩🟦🟦🟩⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦🟩🟦🟩🟦🟩🟩🟩🟩🟦🟦🟩🟩🟩🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟦🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜ ⬜⬜⬛🟦🟦🟦🟦🟩🟩🟩🟩🟩🟦🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜ ⬜⬛🟦🟦🟦⬛🟩🟩🟦🟩🟦🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜ ⬛🟦🟦🟦⬛🟦🟩🟦🟩🟩🟩🟩🟦🟩🟦🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟦🟦⬛🟦🟦🟦🟦🟦🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛⬛⬜⬛🟦🟦🟦🟩🟦🟩🟦🟩🟩🟩🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟩🟩🟦🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛🟦🟦⬛🟦🟦🟦🟩🟩🟩🟩🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦🟦⬛🟦⬛🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛🏽⬛⬛⬛⬛⬛⬛⬛⬛⬛🏽⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟨🟨🏽⬛🟥🟥🟥🟥🟥🟥🟥⬛🏽🟨🟨⬛⬜⬜⬜⬜⬜⬜ ⬜⬛⬛⬛⬜⬛🟨🟨⬛🏽🟥🟥🟥🟥🟥🟥🟥🟥🟥🏽⬛🟨🟨⬛⬜⬛⬛⬛⬜ ⬛🟥🟥🟥⬛🟨🟨⬛⬛🏽🟥🟥🟥🟥🟥🟥🟥🟥🟥🏽⬛⬛🟨🟨⬛🟥🟥🟥⬛ ⬛🟥⬛🟧⬛🟨🟨⬛🏽🏽🟥🟥⬛⬛⬛⬛⬛🟥🟥🏽🏽⬛🟨🟨⬛🟧⬛🟥⬛ ⬛🟧🟧🟧⬛🟨⬛⬛🟥🏽🟥⬛⬛⬛⬛🟨⬛⬛🟥🏽🟥⬛⬛🟨⬛🟧🟧🟧⬛ ⬜⬛⬛⬛🟨🟨⬛🟥🟥🏽⬛⬛⬛⬛⬛🟨🟨⬛⬛🏽🟥🟥⬛🟨🟨⬛⬛⬛⬜ ⬜⬜⬛🟧🟨⬛⬜⬛🟥🏽⬛⬛🟨⬛⬛🟨⬛🟨⬛🏽🟥⬛⬜⬛🟨🟧⬛⬜⬜ ⬜⬜⬛🟧🟧⬛⬜⬜⬛🏽🟨🟨⬛🟨⬛🟨⬛⬛🟨🏽⬛⬜⬜⬛🟧🟧⬛⬜⬜ ⬜⬛🟧🟧🟧⬛⬜⬜⬜⬛⬛⬛⬛⬛🟨⬛⬛⬛⬛⬛⬜⬜⬜⬛🟧🟧🟧⬛⬜ ⬜⬛🟧🟧🟧⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛🟧🟧🟧⬛⬜ ⬜⬛🟧🟧🟧🟧⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛🟧🟧🟧🟧⬛⬜ ⬜⬛🟧🟧🟧🟧⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬛🟧🟧🟧🟧⬛⬜ ⬜⬛🟧🟧🟧🟧⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧⬛⬜ ⬜⬜⬛🟧🟧🟧⬛⬜⬜⬜⬜⬛🏽🏽⬛🏽🏽⬛⬜⬜⬜⬜⬛🟧🟧🟧⬛⬜⬜ ⬜⬜⬛🟧🟧🟥🟥⬛⬜⬛⬛⬛🏽⬛⬛⬛🏽⬛⬛⬛⬜⬛🟥🟥🟧🟧⬛⬜⬜ ⬜⬜⬜⬛🟥🟥🟥⬛⬛🟧🟧🟥🟧🟥🟥🟥🟧🟥🟧🟧⬛⬛🟥🟥🟥⬛⬜⬜⬜ ⬜⬜⬜⬛🟥🟥🟥⬛⬜⬛⬛🟧⬛⬛⬛⬛⬛🟧⬛⬛⬜⬛🟥🟥🟥⬛⬜⬜⬜ ⬜⬜⬜⬛⬛🟥⬛⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬛🟥⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟥⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬛🏽⬛🏽⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏽⬛🏽⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏽🏽🏽🏽🏽🏽⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🏽🏽🏽🏽🏽🏽🏽🏽⬛⬜⬜⬜ ⬜⬜⬛⬜🟫🏽🏽🏽🏽🏽🏽🟫⬜⬛⬜⬜ ⬜⬜⬛⬜⬜🟫🟫🟫🟫🟫🟫⬜⬜⬛⬜⬜ ⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜ ⬜⬜⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬛⬜⬜ ⬜⬛⬜⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜⬛⬜ ⬛⬜🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬜⬛ ⬛⬜🌫️🌫️⬜⬜🌫️🌫️🌫️🌫️⬜⬜🌫️🌫️⬜⬛ ⬛⬜🌫️🌫️⬜⬜⬜🌫️🌫️⬜⬜⬜🌫️🌫️⬜⬛ ⬛⬜🌫️🌫️🌫️⬜⬜🟦🟦⬜⬜🌫️🌫️🌫️⬜⬛ ⬛⬜🌫️🌫️🌫️🌫️🟦🟦🟦🟦🌫️🌫️🌫️🌫️⬜⬛ ⬛⬜🌫️🌫️🌫️🌫️🟦🟦🟦🟦🌫️🌫️🌫️🌫️⬜⬛ ⬛⬜🌫️🌫️🌫️⬜⬜🟦🟦⬜⬜🌫️🌫️🌫️⬜⬛ ⬛⬜⬜🌫️🌫️⬜⬜🌫️🌫️⬜⬜🌫️🌫️⬜⬜⬛ ⬜⬛⬜⬜🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬜⬜⬛⬜ ⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟫🟫🟫🟫🟫🟫⬛⬛⬜⬜⬜ ⬜⬜⬛🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫⬛⬜⬜ ⬜⬛🟫🟫⬛⬛🟫🟫🟫🟫⬛⬛🟫🟫⬛⬜ ⬜⬛🟫🟫🟫🟫⬛🟫🟫⬛🟫🟫🟫🟫⬛⬜ ⬛🟫🟫🟫🟫🟫⬛🟫🟫⬛🟫🟫🟫🟫🟫⬛ ⬛🟫🟫🟫🟫🟫🟫⬛⬛🟫🟫🟫🟫🟫🟫⬛ ⬛🟫🟫🟫🟫🟫🟫⬛⬛🟫🟫🟫🟫🟫🟫⬛ ⬛🟫🟫🟫🟫🟫🟫⬛⬛🟫🟫🟫🟫🟫🟫⬛ ⬛🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫⬛ ⬛🟫🟫🟫⬛⬛⬛⬛⬛⬛⬛⬛🟫🟫🟫⬛ ⬜⬛⬛⬛🏻🏻⬛🏻🏻⬛🏻🏻⬛⬛⬛⬜ ⬜⬜⬛🏻🏻🏻⬛🏻🏻⬛🏻🏻🏻⬛⬜⬜ ⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛🌫️⬜⬜⬛⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜🌫️⬜⬜⬜⬛⬜⬜⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜🟪⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛🟪🟪🌫️🟦⬛⬜⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🌫️⬜⬜⬜⬛⬛🟦🟦⬛⬜⬜🌫️⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜🌫️⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🌫️⬜⬜⬛⬜⬜ ⬜⬜⬜⬛⬜⬜⬛⬜⬜⬜⬜🏻🏻🏻🏻⬜⬜⬜⬜⬛⬜⬜⬛⬜ ⬜⬜⬜⬜⬛⬛🌫️⬜⬜⬜🏼🏻🏻🏻🏻🏼⬜⬜⬜🌫️⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬛⬜⬜⬜🏼🏻🏻🏻🏻🏻🏻🏼⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜🌫️⬜🏽🏻🏻🏻🏻🏻🏻🏽⬜🌫️⬜⬜⬛⬜⬜ ⬜⬜⬜⬛⬜⬜⬛⬜🏽🌫️⬛🏼🏻🏻🏼⬛🌫️🏽⬜⬛⬜⬜⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬜🏽⬜⬛🏻🏻🏻🏻⬛⬜🏽⬜⬛⬛⬛⬜⬜ ⬛⬛⬛⬛⬛⬛⬜⬛⬛🏼🏻🏻🏻🏻🏻🏻🏼⬛⬛⬜⬛⬜⬜⬜ ⬛⬛⬛⬛⬛⬛⬜⬛⬜⬛🏽🏻🏼🏼🏻🏽⬛⬜⬛⬜⬛⬜⬜⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪⬛⬛⬛⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛🟪🏽⬛🏽🏽⬛🏽🟪⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦⬛⬛🟪🟪🟪🟪⬛⬛🟦⬛⬛⬛⬛⬛⬜ ⬜⬜⬜⬜⬜⬜⬛🟪🟪⬛🟪⬛⬛⬛⬛🟪⬛🟪🟪⬛⬛⬛⬛⬛ ⬜⬜⬜⬜⬜⬜⬛🟦🟪⬛🟦🟪🟪🟪🟪🟦⬛🟪🟦⬛⬛⬛⬛⬛ ⬜⬜⬜⬜⬜⬜⬜⬛⬛🟪⬛🟦🟦🟦🟦⬛🟪⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏼🟪🟪🟪🟪🏼⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦⬛⬜⬜⬛🟦🟦⬛⬜⬜⬛⬛⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜