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⣿⣿⣦⡑⢌⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⢴⣍⣀⠈⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣾⣿⠁⠙⠀⠉⠀⠀⣀⠐⠚⠿⢿⣿⣍⠛⠿⢿⣟⣿⣿⣶⣦⣄⡀⠈⠉⢻⣿⣿⣖⠻⢿⣿⣿⡇ ⡟⠿⣿⣿⣶⣷⣮⡳⣄⠀⠀⢀⣠⣾⣁⠈⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡇⠀⢸⣧⡀⠀⠀⠈⣉⠓⠤⣀⠀⠉⠳⣄⡀⢻⣿⣿⣍⠉⠙⠻⢦⠀⣼⣿⣿⣿⣿⣿⠉⠛⢀ ⣿⣄⠈⠛⢿⣿⣿⣿⣦⣵⣞⡉⠀⣿⣿⣿⣿⠏⠀⢀⣠⣾⣿⠟⠋⣴⣿⣿⡿⠋⣠⡀⢸⣿⣿⣦⡀⠀⠀⠉⠙⠒⠻⠶⠤⢈⣛⣂⣿⣿⡿⠦⣠⠒⠀⠁⠻⢿⣿⣿⣿⠇⣠⡶⠁ ⠉⠛⠳⠄⠀⣽⣿⣿⣿⣿⣿⣿⣶⣾⡿⠟⠁⣠⣾⣿⣿⠟⠁⣠⣾⠟⣛⣯⠶⠋⣰⢇⠈⣿⡸⡏⢻⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣷⣶⣾⡿⠋⢻⡟⠋⠀⠘⡄ ⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡯⣀⣴⣿⣿⠏⣾⠏⢀⣴⠿⣡⡾⠛⠁⠀⢠⠇⣨⠀⢻⣇⢿⠀⢻⣿⣿⣿⣦⡀⠀⢤⣤⣖⣪⣿⣿⣿⣿⣿⣿⣿⣿⡯⣀⡀⠀⠀⠀⠀⠀⠈ ⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢹⡏⢸⠏⢀⠞⢁⣼⡿⠀⠀⠀⡰⠋⣰⡇⢢⠈⣾⡈⡇⡆⢹⣿⢻⣿⡛⣄⠀⠹⡄⠹⣿⡏⢯⠙⠿⣎⠻⣟⢿⣆⠉⠳⣦⡀⠀⠀⠀ ⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢰⠃⢸⢀⡇⠀⠉⣠⠿⠋⠀⢀⡤⠊⡀⢰⣷⡇⢸⣧⡸⡇⠀⡇⠀⢻⡌⣿⣿⡌⢆⠀⢱⡀⠘⣿⠈⢷⢣⠘⢧⣜⣆⠙⣧⠀⠈⣿⡄⠀⠀ ⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡟⠀⡞⢸⠀⢠⢖⣁⡤⣶⡞⠋⠀⣰⠁⡜⣿⡇⠘⣿⣿⢿⡄⡇⠀⠘⡇⢹⣈⣻⣞⡄⠀⢳⡀⠈⡆⠈⢇⣷⡀⠳⣿⣧⠸⣆⠀⢸⠁⠀⠀ ⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⠃⠀⣇⠈⣶⠀⠎⠀⢰⡿⠀⠀⢠⡇⠘⢁⣿⢧⠀⢿⡇⢇⠙⡇⠀⠀⡿⢘⡟⢁⠈⢿⡀⠈⣧⠀⠈⠀⠸⢸⣷⠀⣸⠉⠳⣿⡀⡿⠀⠀⣀ ⠀⣌⡉⠉⠉⢁⣿⣿⣿⣿⣿⠃⡀⢸⠀⠀⢸⢸⣿⣾⠀⠀⣿⠁⠀⠀⣼⠀⠀⢸⠏⢸⠀⠈⢷⠈⢂⡇⠀⠀⣇⣾⣧⣼⡤⠤⢷⡀⢻⣇⠀⠀⠀⢸⠀⢧⡟⠀⠀⢹⢷⣧⣴⣿⣿ ⠀⡈⠛⣿⣿⣿⣿⣿⣿⡿⢃⣼⣿⣸⠃⠀⠈⣾⠙⢿⡆⢸⡏⠀⠀⢠⡟⠀⢠⠏⡀⣼⡄⠀⠈⢷⣼⡇⠀⠀⣿⠋⣀⣸⣦⣶⣾⣧⢸⣿⡄⠀⠀⣸⡄⢸⠃⢀⣤⣾⣿⣿⣿⣿⣿ ⠾⣵⠟⠉⠀⣴⣿⣿⣿⣾⣿⣿⣿⡟⠀⠀⠀⠹⡀⠀⣷⣼⠃⠀⠀⡸⠃⡰⢃⡴⡱⠻⣧⠀⠀⠀⠻⠀⢠⣾⢡⣞⣵⠿⣯⣷⣾⣾⣾⣿⣿⡀⠀⣿⣷⣸⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠁⠀⠀⣼⡿⢻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⡇⡀⠝⢿⠀⢀⣜⣁⡤⠒⣹⡟⠁⠀⠈⠃⢄⣠⣢⡶⢿⣇⠿⣛⡡⠾⢿⣿⣿⡿⢹⣿⣿⣧⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁ ⠄⠀⠀⠈⣿⠀⣾⣿⣿⣿⣿⣿⠏⣠⠀⠀⠀⠀⢹⡇⢰⡘⠚⠉⠈⢿⣿⠀⣼⣿⠀⠀⣤⠠⢺⣿⠋⠙⡿⠛⠓⠻⠅⠀⠈⡏⠀⠀⢸⡇⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀ ⠀⡀⠊⠈⠁⠀⣾⣿⡿⢻⣿⣫⣾⣳⣷⠀⢀⣤⡮⠴⣞⠿⢦⣀⠀⠈⢇⠘⡿⡟⠀⠘⡿⠀⢸⠃⠀⠀⡇⠀⠀⠀⠀⠀⠀⠇⠀⠀⣼⣷⣹⣿⣿⢻⣿⣿⣿⣿⣿⣿⢟⣠⣤⣶⡶ ⠈⠁⠂⠀⠀⣽⣿⠏⠀⠈⣿⣿⢻⣿⣿⡆⢀⠀⠀⢀⠙⢦⣀⡀⠉⠉⠉⠉⢹⠇⠀⠀⠃⠀⢸⠀⠀⠀⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠿⠛⠛⠉⠉⠀⠀ ⠊⠀⠀⠐⠚⠁⣿⠀⠀⠀⣿⣿⣾⣏⣿⣇⠀⢑⠄⡀⠓⢦⣬⣿⣷⣶⡠⠤⠤⠤⣤⣤⣤⣤⡼⠀⠀⠀⠘⢿⣷⠄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⠀⠀⠘⠧⣠⣾⠟⣿⣏⠙⣦⣴⠀⣸⢫⣛⠷⠦⣍⣛⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠑⠁⠃⠀⠀⠀⠒⠚⠋⠁⠀⠘⣿⠀⣹⣯⣶⣯⡛⠁⢠⡀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠂⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀ ⠘⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠠⣬⣿⠿⣿⣿⣿⣿⣷⣾⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠴⢦⡶⠟⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⣟⣿⣋⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⣶⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠛⢻⣿⣿⣿⠿⣿⡿⠻⣦⣀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠑⠒⠂⠈⠉⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⡛⠉⠈⠉⠉⠉⠛⢿⣿⡄⠀⠀⠀⠀ ⣻⢈⢠⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⣿⠏⠀⠀⠹⡇⣠⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡿⣟⣰⡡⠄⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀ ⡏⠟⣨⣆⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠘⠂⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⢿⣿⡏⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⢀ ⡇⣾⢹⡋⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⢘⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣾⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎ ⣼⣿⣿⡧⣰⣁⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⢹⣼⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⣠⠏⠀ ⣻⣟⣿⣧⣾⡥⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣷⣷⢾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣾⣿⣿⣿⡄⠀⠳⠀⠀⢀⡤⢩⡷⢴⡃⠀⠀ ⡟⣾⠇⠏⣉⠀⣐⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⠜⠹⣿⣷⣿⣯⣼⣿⣿⣷⣿⣿⡟⠁⠀⠹⣦⡀ ⣹⠇⡼⢀⠁⠐⢡⣖⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠋⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠛⠋⣁⣴⣋⡠⠄⠀⠒⣺⠛⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⢻ ⠟⡀⠀⠀⠀⡴⠛⢛⡻⠛⡿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣽⣿⣠⠀⠀⠀⠀⢠⣿⠟⠛⠛⠛⠻⠿⢿⣦⣀⣀⡤⠖⠁⠛⠿⣅⠀⠀⠀⠀⣼⣿⣦⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀ ⠤⠀⠀⢀⢞⣠⠞⠉⢠⠞⣀⡴⢞⠉⠙⣻⣿⠟⠉⠀⠀⣿⣿⣇⡇⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⡠⠃⣠⠂⠀⠀⠀⢀⣠⣽⡆⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⡀⠀⣰⡟⠀⢀⣴⡿⠟⠉⡰⠃⣠⠾⠋⠁⠀⠀⠀⠀⢿⣿⢿⣼⡀⢀⣾⣿⡄⠀⠀⠀⠀⠀⢀⡜⠁⢰⣇⣀⣤⣶⣿⣿⣿⡿⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⣁⣩⣽⣿⣿⠟⠉⠀⠀⣰⡵⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡀⣸⠿⠿⢿⡄⠀⠀⠀⣠⠊⠀⠀⠸⣿⣷⠈⠻⣿⣿⡿⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⢞⣭⣾⠏⠉⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡇⠀⠀⠀⠹⣄⠀⠘⡟⠳⣄⠀⠀⠙⢿⡄⠀⠙⢿⡵⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣅⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⠏⠿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⣼⡟⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠉⠙⠛⠝⠋⠫⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠜⠉⢀⣿⣿⣿⣿⣿⣿⠟⠀⠄⠀⠀⠀⠠⠀⠀⠀⡤⢂⣤⣶⢋⡽⢻⣿⣿⣿⣿⣿⣿⣿⣿⠛⠿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠠⢀⠀⡸⡚⢁⡈⠵⠋⠀⢘⣿⣿⣿⣿⣿⣷⣿⣿⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢿⣿⣿⣿⣿⣿⣯⡠⠤⢦⣦⣤⠀⠀⠀⢀⠀⠀⠀⠀⡀⠀⠀⢸⠛⣿⣿⣿⣿⣿⣿⠹⡇⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⣿⣿⣿⣿⣿⣿⣧⡠⠤⠭⠙⢊⢆⠀⠀⢀⣀⠀⣀⡀⠀⠀⠁⠀⢻⣿⣿⣿⡸⣿⠀⠘⣀⣀⣤⣤⣤⣲⡿⡛⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢻⣿⣿⣿⣿⣿⣿⣦⠀⠀⡈⣘⣴⡶⢋⣭⢾⣏⣩⡿⠶⣦⣀⡸⠉⢉⣧⠇⠹⣿⣿⣿⣿⡿⣿⡯⣫⣾⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⣿⣿⣿⣿⢻⡟⠏⣨⣷⡟⣹⣿⣯⣾⣟⢿⣿⣿⣿⣿⣀⣈⣻⣿⣮⣾⡑⠀⢀⠙⣿⣿⢟⣿⣿⣴⣿⣿⡤⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⣿⠇⢸⢕⣽⠟⣹⠗⡿⠿⣿⣿⣿⣿⣿⣧⣽⣿⣿⣿⣽⣿⣿⣿⣯⣦⡀⠁⡨⣋⣾⣿⣿⣿⣿⣿⣿⣷⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠉⢻⠔⠉⣿⣿⡎⠀⢸⣿⣿⣿⣼⠻⣿⣿⣿⣿⣿⣿⣿⣯⣛⣿⣿⣿⣿⣞⣾⣤⣿⣷⢽⣿⣿⣿⣷⣝⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⢡⠇⠀⢰⣟⠝⢰⣿⡈⣿⣿⣟⢇⣿⣮⣹⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣮⣝⡐⢿⢾⡿⣿⣿⣿⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⢿⣼⠀⠁⢞⠁⣀⣾⣿⣇⣿⡹⠋⣾⣿⣿⡿⢰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠿⣿⣿⣿⣿⢺⣭⣽⣟ ⠀⠀⠀⠀⠀⠀⠀⢀⠚⠁⠀⠈⢸⠠⣀⣬⣾⣿⣿⣿⣿⣝⢰⣑⣿⣿⣿⣿⣏⣾⣿⣿⣿⣿⠿⠿⠿⣛⣽⣿⣿⣿⣿⣷⣬⡟⡛⢉⣼⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⡰⡁⣰⣶⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢷⠎⠹⣿⣿⡿⠿⠏⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢀⣼⠖⠉⠉⠚⠛⠫⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣫⠚⠻⣿⣦⣠⠟⠁⠀⠀⠀⣼⡿⡿⡃⢸⡘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⢋⡬⡀⣣⡴⠊⠉⠁⠀⣠⡁⠀⣈⠀⢸⡑⠓⢈⠡⠥⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠃⡼⠡⠖⠉⠀⠀⠀⠐⢡⣹⠃⠀⠨⡆⠨⣿⣾⡿⣡⣾⠿⠿⠿⢿⣿⣿⣿⣿⣿⡿⢋ ⠀⠠⣌⣠⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⠟⡀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠐⠀⣿⣿⣽⡙⠀⠀⠀⠀⠀⠀⠀⠈⠂⠙⠤⠒ ⠁⠀⢺⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿⠋⣰⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠅⣿⡟⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦ ⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠁⡈⠂⠎⠀⠀⠀⠐⣽⢄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⣇⢿⣿⣇⠀⠘⢳⡄⠀⠀⠀⣀⣼⣿⡿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢔⣶⠤⠒⠒⠒⠛⠛⠒⠒⠢⢤⣂⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⡽⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢮⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢻⠁⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠤⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣷⡇⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⢀⡴⠖⠒⠒⢲⡦⡄⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⠁⠀⠀⠈⠙⣦⡀⠀⠀⠀⠀⠀⠀⣿⣿⡂⠀⠀⠀⣠⢀⣀⣄⣸⢧⠀⢹⣧⣶⡿⢞⣛⠻⢦⣼⡁⠀⢸⣯⡹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⣿⡟⣇⠀⠀⠀⣿⡶⠛⠛⠛⠎⢧⣤⣿⠟⢰⠟⣉⣳⠀⢻⣷⣤⢸⣇⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⢁⣇⢽⡄⢸⣟⡏⠀⡞⢉⣙⡄⠀⠻⡿⡄⠈⢿⣤⠟⠀⠀⠓⠹⣟⣠⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠏⠀⠀⠀⠀⣿⡿⢠⣿⠟⠀⠈⢧⡀⠀⠀⠀⠘⢞⡼⢳⣼⣿⡇⠀⠳⣵⡼⠃⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡀⠀⠀⠀⢰⣿⠁⣾⡟⠀⠀⠀⠘⠷⣤⠀⠀⠀⠘⠸⡴⣝⣧⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢳⡀⠀⠀⠘⠀⠀⠉⠀⠀⠀⠀⢀⣤⠟⣼⣻⠀⡀⠀⠈⠓⠺⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢓⡄⠀⠿⠀⠘⠟⠀⠀⠀⠀⡾⠉⠀⠀⠀⠸⠿⠀⠀⠀⠀⠈⠈⠓⠦⣄⣀⣀⣀⡀⢀⣀⡠⣴⡾⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣂⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⢧⣉⢀⡴⠋⢹⡏⠙⠲⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢩⣿⣄⣸⣿⣿⣶⣼⣇⠀⠀⠀⠀⠈⠙⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⢢⣀⣠⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠸⢻⣿⣏⢻⣿⣟⠐⠏⠀⠀⠀⠀⠀⠀⢀⡀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⣌⠃⠈⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠘⡄⠀⢸⣿⣿⣿⡄⠀⠀⠀⠀⣀⣠⡶⠂⢻⣦⠀⠈⢻⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⣀⠀⠀⠀⠀⠀⠹⣄⠀⣿⣿⣿⣷⠀⠶⠞⠛⠉⠁⠀⠀⠀⢯⣧⠀⢹⠙⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⣼⠉⡇⠀⠀⠀⠀⠀⠙⡍⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠘⣼⠀⢸⠀⠘⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⡆⠀⢳⠀⡇⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⣸⡀⠀⠈⢷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠘⣄⠈⣧⡇⠀⠀⠀⠀⠀⠀⠀⣧⣬⣭⣭⣭⣽⡆⠀⠀⠀⠀⠀⠀⠀⠈⣇⡿⠁⠀⠀⠈⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⣧⣸⣿⠀⠀⠀⠀⠀⠀⠀⣿⣦⣤⣭⣭⣉⣻⡄⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⢀⣤⣿⡦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡀⠀⠀⠓⠻⢿⡄⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢿⣴⣾⣿⡿⠟⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠁⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟⠉⠉⢀⡴⠉⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣶⣶⣶⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠒⠊⠁⠀⠀⢸⡆

⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢦⠤⢄⣪⢴⣫⢯⡝⢯⡽⢫⡽⢭⡻⠽⣭⢻⡭⣟⣭⢏⣗⠠⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡽ ⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⢀⡦⡞⢧⣛⣬⠓⠊⠑⢎⠉⣏⠁⠙⠙⠊⡓⢽⢺⡜⣯⡞⣤⣀⡼⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽ ⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⣄⣞⡵⡟⠡⠄⠄⢠⡃⠣⢆⢒⠨⡌⠂⠁⡢⢄⢁⠐⢜⠑⠽⣳⢯⣟⣭⣳⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⠳⠊⡜⠂⠃⢸⠱⠀⠠⠏⡜⣄⠀⠑⠢⡀⠀⠈⢃⠢⣀⠑⢌⡀⠙⠺⣷⣫⢿⡵⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⢐⢋⢣⠬⠀⠬⡁⡍⠐⡅⠀⠀⡃⠀⠰⢄⠈⢊⠀⠀⡀⠃⠀⠀⠀⠠⠹⠐⢌⢫⣟⡽⠣⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠀⠀⡈⠞⡀⡃⣘⠡⡅⠀⠀⠘⡄⠀⢱⠀⠀⠀⠑⠀⢂⠀⠀⠪⠀⠀⠀⠑⡆⠔⠠⠑⣟⡞⣧⡼⣢⠀⠀⠀⠀⠀⠀ ⠀⢐⠀⠀⠀⠀⠀⠀⡐⡱⡄⠃⡄⡆⠀⠘⠠⠀⠀⠈⠂⡀⠂⠀⠀⠀⠀⠀⠂⠠⠀⢈⠀⠀⠀⢑⡼⢦⣥⣏⡾⣽⣳⢣⠀⠀⠀⠀⠀⠀ ⠀⡆⠀⠀⠀⠀⠀⠀⠂⠇⢹⢄⡆⠀⠀⢄⠈⢦⣀⣀⠀⠈⠘⠄⠤⠄⠚⣥⣤⠿⢧⣤⣆⠄⠀⠰⡽⣯⣞⡾⣽⣳⢿⣳⢤⠀⠀⠀⠀⠀ ⠀⠐⠀⠀⠀⠀⠀⠀⣐⢋⢸⡼⡖⠠⣤⠞⢋⠿⣷⡄⡄⠀⠀⠀⠀⠀⣼⠉⠀⣆⣸⣿⣿⠣⠀⣀⢌⣌⡕⢿⣷⢯⣟⡿⣽⣲⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠐⣸⢸⢸⣟⣏⡆⠁⠈⣿⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⡀⠀⠿⣟⢉⠿⡴⠙⠮⢿⡾⣽⣳⢿⣟⣾⣽⣳⣯⡄⠀⠀⠀ ⠀⢂⠀⠀⠀⠀⠀⠀⠘⣸⢸⣯⢶⠀⠀⠀⠈⠓⠒⠐⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢼⡻⢷⣤⣼⣻⣷⣯⢿⣿⣻⢾⣽⣾⣵⡀⠀⠀ ⠀⠘⡀⠀⠀⠀⠀⠄⡎⣽⠸⣟⢯⣅⠀⠀⠀⠀⠀⠣⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⠆⢋⠉⠳⣫⣷⣯⢿⣟⣾⢿⣯⡷⣿⢮⡅⠄⠀ ⠀⠀⡄⠀⠀⠀⠁⢀⣼⢯⡃⣿⡍⣿⡄⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣻⣯⣿⣻⣾⣯⣷⢿⣿⢿⡹⠀⠀ ⠀⠀⠠⠀⠀⠀⠀⠈⠀⠁⠐⣿⣷⣿⣷⡀⠀⠀⠀⠀⣶⢆⡆⡲⠄⢏⣳⡥⠀⠀⠀⠀⠀⠀⠀⣼⣾⣟⣷⢿⡷⣟⣾⡽⣿⢾⡻⡁⣀⢀ ⠀⠀⠀⠀⠆⠀⠀⠀⠀⢀⢨⠷⡛⢻⢿⣷⡄⠀⠀⠀⠉⡀⠐⠀⠀⡀⠀⠕⠀⠀⠀⠀⠀⠀⡾⣽⣿⣿⣯⣿⣻⢯⣿⡽⣟⣿⡁⠜⣪⣿ ⠀⠀⠀⠀⠐⠀⠀⠀⠀⡘⠸⠀⠀⠈⢪⢿⣿⣦⠀⠀⠀⠀⠠⢤⠄⠀⠀⠀⠀⠀⠀⡀⡀⣽⣿⢟⣯⣷⡿⣞⣯⠛⢷⣻⡿⢭⣿⣮⢱⣎ ⠀⠀⠀⠀⠀⠀⠀⡀⠠⢡⠇⠀⠀⠀⢈⠘⠋⢹⢿⣦⣀⠀⠀⠀⠀⡀⠀⢄⡐⠈⠠⠆⠁⣿⣦⣤⣿⡳⢛⠙⠒⠓⡸⠿⣩⢗⣿⣿⡷⣯ ⠀⠀⠀⠀⠀⠀⠀⠈⡈⠾⠀⠀⠀⠄⠐⠀⠀⠘⠘⠻⢿⣿⣶⡿⠇⠔⠈⠀⠀⠀⠀⠀⢸⣽⣿⡳⢣⠠⡁⢌⡐⠤⠐⠂⡄⢋⠝⡛⡙⠤ ⠀⠀⠀⠀⠀⠀⠀⢠⠌⠀⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⣈⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⡞⡔⣃⣦⣿⣶⣞⣦⣇⣒⠨⢐⠨⢐⣁⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⡲⣶⣾⣄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠘⡼⢐⢿⣿⣿⠿⠿⠛⣈⠩⠡⠉⠙⠀⠐⠀ ⠀⠀⠀⡀⠀⠤⣄⢠⡞⣼⣽⣳⣿⡛⠻⣧⡀⠀⠠⠀⠀⠀⠀⠀⠀⠠⠤⠀⠀⣰⣢⣦⠀⠘⠀⠇⠀⠀⠀⠀⣤⢺⠴⠃⠀⠀⠀⠀⠀⠀ ⣄⠾⣌⡷⣹⢯⡼⣧⣟⡷⣞⡷⣿⣿⣶⣯⣿⣽⠁⠀⠀⠀⠀⠀⠀⣀⣤⣲⣾⣷⣿⠇⠀⠀⠀⢀⣈⠒⠂⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣯⣿⣽⣻⣽⣿⣿⣳⣯⣿⣽⡻⠽⣻⣿⣿⣿⣿⡀⠀⢀⣴⣽⣯⣿⣿⣾⡟⠋⡉⢵⣚⠤⠄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣷⣿⣿⣿⣿⣿⡿⣷⣿⣳⣿⣶⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡿⠟⠀⠊⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠ ⣿⣿⣿⣿⣿⢿⡻⢩⢉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⠵⢚⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠈⣧⠙⣿⡄⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠈⣶⠘⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠐⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠘⡄⠘⣟⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⢀⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⣇⠀⡀⠀⠀⠀⠰⠀⠀⢸⡆⠀⠀⠀⢣⠀⠸⣶⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⣸⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢞⠇⢹⠘⡄⢃⠀⠀⠀⠀⡇⠀⢸⣿⠀⠀⠀⠘⡇⢣⢹⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⢠⡇⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣄⢀⣦⠖⣫⠞⠀⠈⡇⢳⠘⡄⠀⠀⠀⢣⠀⠈⡿⣇⠀⠀⠀⢻⠘⡆⢻⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⢸⢑⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⣿⠻⡅⠀⠘⡄⢳⠈⡇⣷⠀⠀⢀⢸⠀⠀⣷⣿⠀⠀⠀⠸⡆⢹⠈⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⡞⢸⠇⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⡄⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⢿⢧⢹⡄⢷⠀⠀⢳⠘⡇⢸⢸⡆⠀⠘⠀⡆⠀⣿⢸⡇⠀⠀⠀⢇⠀⢁⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⢧⠀⢰⡄⠀⣆⢰⠀⠀⠀⠀⠀⣸⣾⢸⣧⠈⡇⠀⠸⡆⢿⠀⡇⣷⠀⠀⠀⡇⠀⢻⢸⣷⠀⠀⠀⢸⠀⠀⠈⡏ ⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⢸⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⢸⠀⣨⢇⠀⢳⣸⡄⠀⠀⠀⠀⢹⢻⠈⣿⡆⢹⠀⠀⢧⠸⡇⠐⢹⡀⠀⠀⠁⠀⣿⢠⡟⡄⠀⠀⢸⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⡟⡇⠀⢸⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⡇⠈⡆⣿⢸⠀⠘⡄⣇⠀⠀⠀⠀⢸⢸⡄⣿⣿⣄⣇⡀⠸⡄⣿⡀⠀⡇⠀⠀⠀⠀⠀⠈⡇⣇⠀⠀⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠇⡇⠀⠀⠀⠘⠀⠀⠇⠀⠀⢀⣀⣥⠴⠗⡟⠋⠏⢻⡇⡇⠀⣇⠹⡀⠀⠀⢀⢸⠈⡇⢻⣿⣇⢠⡈⠉⣿⢛⠷⠦⣥⣄⣀⠀⠀⠀⠀⡇⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⣀⣠⡷⠞⡟⠉⠀⠃⠀⠃⡇⠀⢰⠸⣷⢸⡀⢹⠀⡇⠀⠀⢸⠀⠀⡇⢸⢻⣿⡀⢇⠀⢹⡜⠸⡄⢰⠀⠏⣽⢳⣶⢤⣇⣸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⣇⣀⣤⠴⠻⠋⢸⡁⠀⣿⠀⡀⢀⡄⣰⡇⠀⠸⡄⡟⠈⣇⠘⡇⢹⠀⠀⢸⠀⠀⣧⢸⠈⣿⣧⠸⡄⠸⡇⠀⣇⠀⠇⠀⠸⡜⠏⡇⡇⢹⠀⠀⢰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠖⢻⠉⡎⡄⠀⢸⠸⡇⠀⢹⡇⢇⢸⠁⠰⡇⠀⠀⢳⢱⠀⠸⡄⢳⠈⡆⠀⢸⡀⠀⢿⠈⡇⢸⣿⣆⢣⠀⢷⠀⢸⠀⠀⠀⡃⡇⢰⣿⠃⢸⠀⡄⡼⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⡇⢸⡀⣇⡇⢠⠀⡆⡇⠀⡌⣷⠸⡈⡆⠀⢸⠀⠀⠈⡞⣇⠀⡇⠘⠄⢹⠀⠀⡇⠀⣸⡆⢧⠀⢿⣿⡜⡄⢸⡄⠀⡇⠀⠀⡅⡇⣸⣾⡇⢸⠀⠃⡇⢠⡇⠀⠀ ⠀⠀⠀⠘⡇⠀⠀⣇⠀⡇⢸⠠⢸⠀⠀⢻⠀⢳⢻⣇⠃⢧⠀⢸⡆⠀⠀⠸⢿⡘⣽⡀⠀⠈⣇⠀⡅⠀⡇⢱⢸⠀⠘⣿⣷⠡⠀⡿⠀⢣⠀⠀⠀⢀⣿⡿⡇⠘⠘⢸⡇⣸⡇⡇⣸ ⠀⠀⠀⠀⣧⠀⠀⢹⡀⢿⡀⡇⠸⡀⠀⠸⡄⣈⣿⣝⣆⣘⣠⣤⣥⣄⠀⠀⠈⣧⢠⢳⡀⠀⠸⠀⡇⠀⣧⠘⡌⡏⠉⠙⣿⢯⠁⢻⡏⢻⡃⠀⠀⣸⣿⢷⠇⠀⢀⡟⠁⣿⣧⡇⡿ ⠀⠀⢠⡆⢹⡀⠀⠈⣇⠈⢣⠑⠀⡇⠀⠀⢇⠀⠘⢷⠹⣄⠀⠀⠡⠈⠁⠀⠀⢸⡄⢫⢷⡀⠀⡇⠀⠀⣿⠀⢻⡣⠀⠀⢹⣌⣇⢸⡅⡈⡁⠀⢀⣿⠏⢸⠀⠀⣼⠁⢰⣿⢹⠁⡯ ⠀⠀⠸⣿⠀⢧⠀⠀⠸⡄⠈⢧⠀⣙⣂⣀⣸⣤⣤⣼⣧⣼⣶⠶⣶⡶⠂⠀⠀⠀⣗⠀⢿⣷⡀⢸⡄⠀⣋⠀⠈⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣦⣴⠇⠀⣾⡇⣾⠀⡇ ⠀⢺⡆⢿⡄⢸⡆⢣⠀⢳⢰⣾⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣬⣥⠄⠀⠀⠀⠘⣆⡈⢿⡿⡄⢇⠀⢹⡆⠀⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠛⠛⢻⡿⢿⡟⠀⣼⡿⢠⣿⠀⡇ ⡀⠘⣧⠸⣷⠀⢿⡈⣧⠈⢧⢿⠿⢟⡛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠆⠈⣧⠙⣾⡀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⡜⢀⡞⠀⢸⣿⠃⡾⡇⢸⡇ ⣧⠀⢻⣇⢻⡈⠈⢷⡘⣆⠈⢿⡄⢲⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠈⢷⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢃⡞⠀⣠⣿⠃⢰⢳⠀⢸⠀ ⡏⣧⠈⣿⡌⣷⠰⡘⢷⡘⣦⠀⢻⣄⢣⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⠞⠀⣠⣿⠃⢠⡏⡿⠁⠋⠀ ⣧⡜⡆⠸⣧⠸⡆⣣⡘⢿⣌⢷⡀⠻⣆⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⣰⣿⠇⢠⡿⢰⡇⠀⠀⠀ ⣇⣧⡸⡄⢹⡇⢹⣽⣣⠘⣎⢧⡻⣦⡙⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡋⣠⣾⣯⡏⢀⣿⢁⣾⠇⠀⠀⠀ ⣿⣿⣧⠘⡄⢿⡀⢿⣿⡧⠘⣆⠹⣮⡳⣄⡹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣫⠏⣰⢿⣿⡟⢀⣾⠃⠊⢹⠀⠀⠀⠀ ⣞⣏⣿⣧⡈⢌⢷⡈⢷⣿⡄⠘⣆⢹⣿⣾⠿⣦⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠺⠻⣟⡟⠉⢹⣏⡟⣏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⢃⣴⡟⠛⠿⠤⠾⠏⠀⠠⠇⠀⠒⠚⠚ ⠙⣿⢿⢿⣷⡀⠈⢷⡈⢷⣿⣆⠈⠣⢻⣯⣷⣤⣉⠉⠛⠢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⡏⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠈⣠⣴⣿⡟⣿⢦⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⢸⣧⠹⣿⣄⠀⢳⡌⢷⣹⣦⠀⠀⢻⣏⢷⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⡇⢸⠈⡇⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣽⠏⢠⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡀⣿⠳⣌⢿⣦⡀⠹⣌⢿⣽⣷⡀⠀⠻⣧⡻⣿⣍⡏⣿⢳⣶⡤⣄⡀⠀⠀⠀⠀⢸⢹⠀⠀⠁⢸⡀⠹⣀⣠⣴⣾⣋⠙⠛⠛⠻⠿⢧⣯⠤⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⢻⡆⢻⠀⡿⣷⣄⠘⢷⣿⣮⣿⣄⠈⠻⣿⣿⣿⣿⣿⢸⣿⣇⠈⠉⠓⠦⣤⠀⠈⡾⡇⠀⠀⠀⡇⠈⠉⣿⣿⣯⣽⣷⣶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠇⠸⡇⢸⠀⡇⠸⢻⣷⣌⣿⣽⣿⣿⣧⡀⢹⣿⣿⣿⣿⣿⢟⣽⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⢠⠸⠖⠋⠉⠉⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀

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

⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⢤⠤⡤⠤⡤⢤⠤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠀⢸⣟⣺⠵⢿⣳⣞⢾⢷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣡⡤⢲⢻⠂⣱⣒⣮⣎⣰⣽⠁⣞⣿⣈⣿⠏⢹⠿⢿⣿⡿⢿⣚⣯⣞⣟⢥ ⠀⢸⢯⢕⡽⡻⢏⣖⠷⣥⢿⣿⣿⣿⣿⣿⣿⣿⡟⢹⣾⡴⠿⠚⠋⠉⠁⠀⠀⠀⢀⣀⡠⠄⣀⣠⣄⡄⣉⠉⠓⠸⣗⣿⣋⣿⣷⣿⣿⣿ ⠀⢸⡞⡭⠜⡳⠫⣲⠯⡰⢍⡻⢿⣿⣿⢿⢁⣽⠶⠻⠉⠀⡀⡄⣤⣂⣾⣥⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣶⣯⣶⣿⡏⠲⢨⣴⠣⡞⢛ ⠀⢸⣃⠍⡱⢖⠅⠖⣚⣹⡬⢗⣾⣿⣼⡾⠏⣁⠤⣠⣲⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⠆⠥⠬⠈⡜ ⠀⢸⠈⠎⠷⠁⣰⣾⠏⢁⠸⡀⢸⣿⠇⢀⠆⣆⣾⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢇⣿⣿⣿⣿⣿⣿⡿⣿⣿⣏⠁⡸⡈⢾⠁ ⠀⢸⢐⠀⠉⢰⣿⣇⠀⠡⠁⣊⠘⣵⣰⣮⣾⣿⣿⣿⣿⡏⣿⠉⠸⡿⣿⣻⣿⣿⣿⣿⣿⣸⠤⠾⡿⣿⣿⣿⢿⠇⣱⣿⣿⡄⠐⠂⡎⠀ ⠀⢸⠡⠠⠄⢢⣿⠏⢢⠢⠉⠊⠀⣨⢿⣿⣿⡏⣿⣿⣿⣃⣿⠤⠤⣷⣿⣾⣿⡟⡿⣿⠁⣏⣤⠀⢗⡸⣿⢻⢸⠀⢹⣼⣿⠆⢸⢹⠀⠀ ⠀⠸⣀⣠⡾⠿⠋⠀⡾⡆⠌⢑⠳⠋⣼⣿⣿⣷⣿⢟⣯⠀⡿⢀⡀⢹⢹⣿⣿⢷⡇⡞⡇⣏⠧⣠⣶⣴⣷⣾⣿⣤⣾⣿⡏⠀⠀⢈⡆⠀ ⣰⣾⡟⠁⠀⠀⠀⠀⠑⠆⠩⠠⠂⢀⢏⣿⣿⡿⡟⣼⣏⢀⣏⢁⠉⢹⢸⡇⡏⣾⡇⡆⡇⣷⣿⣿⣿⣿⣧⠈⢿⣷⡿⡯⣑⡀⠀⠘⣿⡀ ⢻⡿⢇⡀⠀⠀⣀⣀⣀⡐⠦⠉⠊⣈⢸⢿⣷⣤⣧⣿⣷⢟⣿⣿⣿⣿⡾⡇⡇⢻⢿⠇⠻⡣⠓⠉⠈⠀⠀⠁⠸⢸⢿⠃⠈⢰⠀⠀⢻⣧ ⢄⠉⠙⠙⢻⣿⣿⣿⣿⣿⣷⠸⢜⠚⠈⠸⡿⣿⣿⣿⢅⡸⠿⠛⠛⠛⠓⠁⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⡡⢀⢔⠂⠀⠀⠈⢿ ⠀⠈⠂⠂⠤⢬⣿⣿⣿⣿⣿⣮⣦⢄⠀⠀⠸⠼⢾⣿⣢⡤⢶⠏⢛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢠⠋⢉⠔⠁⡀⠀⠀⠀⠀ ⠀⢸⠀⠀⣰⣿⣿⣿⠟⠛⠻⢿⣿⠇⠢⠀⢠⢗⠈⠙⣾⣢⠩⣟⡜⣧⠀⡀⠀⢀⡀⠀⠀⠤⠐⠁⠀⠀⠀⢀⠞⠏⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠨⠀⢰⣿⣿⣿⡃⣾⣿⣧⢸⠃⠀⠈⡇⠀⠑⠡⢐⣃⠱⡎⣻⣧⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀⠀⢀⣤⣤⣄⠀⠀ ⠀⠰⠂⠈⠃⠈⣿⣧⣈⣛⣩⣿⡇⠀⢀⡇⠀⠀⠀⠀⠀⠉⠈⠛⢯⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠏⠀⠀⠀⠀⠠⠜⠋⠉⠉⠻⣷⣶ ⠀⠀⡆⢀⠈⠀⠸⣿⡿⠿⡉⡁⠀⠀⠰⠀⠀⠀⠀⠀⠀⢀⣆⣀⡀⠈⠹⡷⣶⣆⣀⣀⣀⣰⢾⢏⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿ ⠀⠀⢇⠂⠀⡈⠢⡀⠠⠊⠔⡱⢔⠢⠒⠉⠁⠀⠉⢿⣤⡿⠋⠀⠁⠑⠻⠩⡉⠉⠈⠉⠉⢋⣏⡵⣿⡻⡁⣤⡲⣟⢶⣄⡀⠀⠀⠀⠀⠀ ⠠⡀⠨⠀⠀⡇⠀⠀⠀⡠⠊⣴⣷⣠⢀⠀⠀⠀⠀⠀⠙⠮⠔⢄⠀⠀⠀⠀⠐⡤⠀⠀⠀⢼⠋⡠⠁⡀⢬⠛⢻⣚⠷⢿⣿⣶⣦⣤⣄⣀ ⠀⠸⢂⢡⠀⠘⣤⠀⠀⢃⣀⣿⣿⠟⠀⢀⣄⣠⣀⢀⣄⣈⢚⣄⠡⡀⠀⢀⣴⣿⣖⢠⣀⠠⢻⠰⢌⣢⣿⠰⠛⠻⣠⢠⢻⣿⣿⣿⣿⣿ ⠀⠀⠀⠉⣀⠀⡆⠀⠸⢄⠝⠋⠀⢀⣴⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣧⡘⢻⠃⡷⡉⠀⠀⠀⢰⣳⡣⠁⡆⣿⣿⣿⣽⣿ ⠀⠐⠀⠀⠈⠓⠓⠀⠀⠘⠀⠐⠒⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠚⠒⠓⠓⠒⠒⠒⠚⠒⠚⠚⠒⠛⠛⠛⠛⠛

⠀⠀⠀⢀⣀⣠⠤⠤⠖⠒⠒⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡔⠉⠀⠀⠀⠀⠀⠀⠀⠀⣤⡈⠁⠢⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠁⠀⡀⠀⠀⠤⣸⠙⠄⢀⡇⢱⡄⠀⠀⠈⠒⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡄⠀⢸⣉⣉⣉⣇⠀⠘⠊⠀⢸⠱⠄⠠⣄⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⠐⢺⠤⢄⢰⠃⠀⠀⠀⠀⢸⠀⠱⡀⠑⡁⠢⢄⡀⠈⢅⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⡆⢸⠀⠀⡎⠑⡖⠒⣲⡤⢺⠀⠀⠱⣄⠈⣄⠀⠉⠢⣀⣱⠀⠀⠀⠀⠀ ⠀⠀⠀⡞⢹⠉⡻⠁⠀⠈⠉⠁⠀⣸⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢶⠒⠋⠀⢸⡰⠃⠘⠢⠤⠟⠒⠒⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⡆⠀⠀⠐⡇⠀⠀⢀⣀⣀⠀⠀⠛⠒⠒⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠳⡀⠀⠀⡇⠀⠀⠀⠀⠀⠉⠳⡀⠀⠀⠀⠀⠙⡆⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀ ⣀⣴⣊⣀⡀⡇⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⣠⡷⠒⠉⠁⠀⠀⠀⠙⠣⢄⠀ ⡏⠀⠀⣠⠏⢣⣠⣀⣀⣀⣀⡠⠏⢩⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱ ⠙⠊⠉⠁⠀⠀⣠⡇⠀⡼⡀⢱⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⠀⠀⠀⠀⠀⠀ ⠀⢀⠤⠒⠦⠄⣡⠃⡼⠁⡇⠈⢆⠘⢦⡀⢀⣀⡀⡀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀ ⡔⠃⠀⠀⠀⠉⠁⠀⠀⠀⠁⠀⠈⠁⠀⠈⠁⠀⠀⠁⡂⠀⠸⡀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⡠⠒⢁⠤⠒⠊⠉⠉⠉⡉⠉⠁⠒⠤⢀⠑⠢⡀⠀⠀ ⠀⡔⢀⠴⠁⠀⡰⡇⠀⠀⢠⠻⡀⠀⠀⠀⠀⠑⢆⠈⢄⠀ ⡘⢀⠞⠀⠀⡜⠁⢳⠀⠀⡎⠀⠘⢆⠀⡀⠀⠀⠀⢣⠈⡄ ⠀⡜⢁⠀⣼⡤⢄⠈⢧⢀⡇⢀⡔⠲⣷⣷⡀⠀⠀⠘⡄⠀ ⠀⡇⢈⡜⡎⠀⠈⡇⠀⠑⣧⡸⠀⠀⠸⡈⢳⡀⠀⠀⡇⠀ ⠀⡷⢞⠀⡏⠀⠀⡇⠀⠀⠀⢁⠀⠀⢀⡇⠀⡇⣮⣝⡄⠀ ⠢⠄⠈⡇⠑⠄⠠⠏⠀⠀⠀⠘⠄⠠⠞⠀⠀⠏⡏⢧⡇⠀ ⠀⡀⢀⠃⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⣄⣀⠜⢁⠌ ⠀⠀⢾⡀⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⡇⢀⣴⠁⢸⠀⢇⠀ ⠀⠑⢤⠈⡹⠒⢲⡁⠀⠀⠀⠀⠀⠀⡿⡅⠀⣒⢕⣣⣈⠰ ⠀⠐⢁⡴⠧⠶⡎⠧⠤⠤⠤⠤⠤⠄⠃⠘⡖⠸⠦⠀⠀⠀ ⠀⠐⠀⠀⠀⢰⠁⡄⠀⠀⠀⠀⠀⠀⡄⠀⠹⡄⢠⠀⠀⠀ ⠀⠀⠀⠀⠁⣌⠀⢣⢤⠤⠤⠤⠤⡄⣼⠀⠀⢳⠈⡄⠀⠀ ⠀⠀⠀⡈⢀⠏⠀⢸⢸⢀⣀⠄⡏⢹⠹⡀⠀⠈⡇⠸⠀⠀ ⠀⠀⠀⠁⡸⠀⠀⢸⡼⣀⣀⣀⣣⣻⣰⡇⠀⠀⠸⡀⠃⠀ ⠀⠀⠠⡐⠓⡦⣤⡾⠀⠀⠀⠀⠀⠀⠀⠱⢤⡶⠒⡅⢀⠀ ⠀⠀⠀⡌⢠⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⢣⠈⠄ ⠀⠀⠀⠀⡜⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢸⡄⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⡱⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢣⡞⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⡞⢾⠛⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠤⡀⠀⠀⠀⠀⠀⢸⡶⠤⠀⠀⢸⠀⠀⠳⣄⠀⠀⠠⢠⣀⠀⠀⠀⢀⣞⠁⠀⠀⠀⠀⠀⢀⣠⠀⠀⠀⢀⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⣀⠘⣆⠀⠀⠀⢀⡟⠑⢀⡤⠤⠿⣦⡀⠀⠈⠓⢦⣸⠉⠉⠑⡄⠀⢸⣣⠔⠒⠒⣦⣀⡴⠋⠀⠀⢀⡴⠋⠈⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⢀⣯⢳⡜⡆⠀⠀⣸⢀⡴⠃⣠⣶⣿⣿⣷⣄⠀⠀⠀⠙⠦⠔⠀⣷⠀⢸⠇⢠⡆⠀⣸⠁⠀⠀⢀⣴⣋⠀⠀⠀⠀⠈⢲⠀⠀⢀⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠤⠄⢸⢸⡟⢳⣿⢳⠀⠀⠇⢸⠀⢸⣿⠉⣿⣿⣻⣿⠙⠦⣄⣀⡀⣀⣠⠋⠀⠀⢇⠀⠉⠉⠀⢀⣠⣴⣯⣄⠈⠙⢦⡀⠀⠀⣸⢀⡾⣣⣧⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⢸⡀⢷⢳⣾⠋⠀⠄⠀⠸⡄⠀⠻⣷⣤⣤⡾⠏⠀⠀⡿⠻⣿⣿⣿⠀⠀⣤⡾⠷⣶⡶⠚⢻⡟⣿⣿⣿⣇⠀⠀⣷⠀⢀⡇⢸⣶⣿⣿⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⢄⣧⠘⣇⠘⣆⠀⠀⠂⠀⠘⠦⣠⠀⠀⠀⠀⠀⣠⠼⠁⠀⠉⠁⢠⠀⢀⣿⠀⠀⢸⢷⠀⠘⢿⣦⣤⡾⠃⠀⠀⡟⠀⢸⠃⢼⣿⣿⣿⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣆⠘⢦⡈⢳⣵⠀⢠⣄⡀⠈⠉⠓⡒⠚⠉⠁⠀⠀⠀⠀⠀⡼⠀⢸⠁⠀⠀⢸⡎⠳⣄⠀⠀⠀⠀⢀⣠⠞⣁⠀⡞⠀⢸⣷⣼⣇⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠉⠳⢿⡄⠀⣯⠉⠲⢬⣈⡀⠔⠀⠀⠀⠀⠀⠀⣀⣷⣾⣿⠀⢀⣠⡾⠃⢀⣈⣉⣹⣟⣋⣽⣶⠚⠁⢠⡇⠀⣰⣿⢏⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠈⣇⠀⢸⡀⠀⠀⡏⠙⠳⠦⣄⣀⠀⠀⠀⠈⠛⠿⡏⠉⠉⠁⠀⠀⠀⠀⢈⣉⡥⠞⢻⡏⠀⢀⣿⠤⠾⠛⣡⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠀⠀⠀⣀⣤⠬⠙⣿⡄⠀⢳⣄⡀⡇⢀⠀⠀⠀⡏⠉⠙⠒⠒⡶⠒⠾⠥⠤⠖⣶⠒⠚⠉⠉⡏⠀⢠⠟⠀⠀⡾⠁⢀⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣋⠀⣠⣴⣞⡭⠖⠋⠁⠀⢳⡀⠀⢣⡉⡟⠢⢤⣀⠀⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⠇⠀⠀⠀⣼⣁⣠⠏⠀⢀⣾⠟⠛⠉⣽⠁⠀⠀⠀⠀⢀⣤⣶⠚⠛⠓⠢⠀⠀ ⠀⠀⠀⠀⣿⡵⢚⣽⠇⠀⠀⣠⡴⠚⠃⠀⢳⡄⠀⠱⣇⠀⠀⠀⠉⡟⠒⠒⠤⢤⣧⣀⣀⣀⣀⣼⠤⠔⠒⠊⣏⡟⠁⠀⢠⡞⠁⠀⠀⢰⠇⠀⠀⠀⠀⣴⣿⠃⠙⠳⡄⠙⢦⠀⠀ ⠀⠀⠀⠀⢻⣴⠛⠁⣠⣤⡞⠁⠀⠀⣀⡴⠾⠻⣦⡀⠈⠓⢦⣀⢸⠃⠀⠀⠀⠀⡇⠀⠀⠀⠀⡇⠀⢀⣠⠞⠁⠀⢀⡴⠋⠀⠶⣄⠀⣿⠀⠀⠀⠀⣼⡿⢧⡀⠀⠀⠁⠀⠈⠳⠀ ⠀⠀⠀⠀⠀⢻⢠⣞⣵⠏⢀⣰⡶⠛⠁⠀⠀⠀⣿⡛⢦⡀⠀⠈⠙⠶⠤⣄⣀⣰⡁⠀⣀⣀⣤⠧⠒⠋⠀⠀⣠⡶⠛⠙⠳⣤⡀⠈⠁⡇⠀⠀⠀⣸⢷⣿⣦⡙⣆⢀⣀⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠾⠁⠀⣸⡿⠁⠀⠀⠀⠀⠀⢹⣧⣀⠉⠳⣤⡀⠀⠙⠒⠶⢿⣽⣿⠷⠞⠓⠠⣀⣤⠖⣿⠉⠀⠀⠀⠀⠈⠻⣦⣴⡇⠀⠀⢠⡇⠀⠙⠉⣹⡟⠉⠀⠀⠉⠛⠒ ⣶⠟⠀⠀⠀⠈⣿⡆⢀⣼⡋⠀⠀⠀⠀⠀⠀⠀⢸⡇⠉⠳⣆⡀⠉⠓⢶⣤⣤⣀⣀⣠⣤⣶⣾⠏⠉⠀⢰⣿⠀⠀⠀⠀⠀⠀⠈⢸⣿⡇⠀⢀⡾⠀⠀⢠⡼⠋⠀⠀⠀⢠⠀⠀⠤ ⡉⠳⣶⣄⠀⠀⠀⠻⣿⢟⣶⡆⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠻⣦⡀⠈⠙⢿⣿⣿⣿⣿⡿⠯⢐⡀⣠⠟⣿⠀⠀⠀⢀⣀⣀⣻⣿⣿⠇⠀⣼⡁⠀⢠⡟⠁⠀⠀⠀⠀⠁⠀⠀⠀ ⢳⡄⠈⠻⡆⠀⠀⠀⣟⢸⣏⣻⣄⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠈⠻⢦⣀⠀⠙⠛⠿⢣⣤⣾⣿⠟⠁⠀⣿⠀⠀⢰⠟⣏⣿⠿⣿⡏⣠⣾⣿⣷⡾⠋⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀ ⠀⢱⡄⠀⠀⠀⠀⠀⢹⡈⣟⢯⡛⠿⠷⠒⢶⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠶⠶⠶⠶⡿⠟⠁⠀⠀⠀⣿⢀⠀⣿⠀⣏⣀⣀⠀⠀⢿⣿⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⢻⣦⠀⠀⠀⠀⠀⢧⡘⣆⠻⣷⠶⢦⣤⣽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠀⡟⢹⡟⠀⣄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠳⣌⣳⣜⣷⡞⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⠷⢾⠀⣷⡾⠀⠀⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀

⠀⠈⠂⠀⠀⣠⠶⠋⠁⠀⣀⡤⠖⠚⠁⠀⠉⠿⣫⠽⠿⣆⣰⡇⠀⢸⠀⠀⢸⠀⠀⠀⣼⢀⡇⠀⠀⢠⡏⠀⠀⣠⣾⢃⠀⡼⣮⣿⢮⣗⣻⣞⠛⣿⣿⡛⣍⡉⠳⣄⡀⠀⠀⠈⠉ ⣧⡀⢀⣤⠞⠁⠀⣠⠴⠚⠉⠀⠀⣀⡠⣤⡴⠚⣡⡶⣠⠞⢹⣇⠀⢈⡆⠸⣟⡆⠀⢰⡇⡼⠀⠀⣠⠟⠀⣠⢞⡝⢡⠟⣼⠇⠘⣯⠳⣝⢷⡈⠳⣌⠈⠛⠮⣿⣦⣼⣻⡄⠀⠀⠀ ⡏⣻⣦⠀⣀⡴⠛⠁⠀⣀⡤⠖⢛⣩⡾⣿⡿⣷⣯⣾⡧⠞⠉⣻⣆⠀⣿⠀⢿⡁⠀⣽⠀⠇⢀⡴⣋⡴⠚⢁⠞⣠⢏⡞⠑⠦⣄⣘⣧⠘⣧⠙⣆⡈⠓⣰⣖⣯⣿⣿⣿⣿⡲⢤⣤ ⡇⣿⢸⡿⣍⠀⣠⡴⠛⠁⢀⡶⠋⠱⣷⣿⣿⣟⡿⣁⠖⢩⡾⠁⠙⢷⣿⣷⣬⣳⣀⡇⣀⣴⣾⡚⢉⣀⣤⡬⢴⣧⠞⠶⣤⣀⠀⠀⠙⣧⠈⢧⠸⣿⠿⣭⣏⣿⣿⣿⣿⣿⠻⣄⠀ ⣧⡇⠘⢿⠟⢿⣥⡀⣠⠴⠋⠀⢀⡴⣿⣿⣿⣺⠟⢁⣴⣿⣿⠇⠀⠀⠀⠈⢉⣭⣷⣋⠉⠉⠉⠩⣭⣿⡿⠞⠉⠶⢤⣀⠀⠉⠓⠦⣄⠸⣧⠘⡆⡿⠀⠀⢸⡿⠿⢿⡿⣟⡇⠙⢷ ⣻⠖⠚⠻⣶⣿⢸⣿⣧⣄⠀⡴⢫⠞⣻⢟⡟⠁⢠⢞⡟⠛⠁⣠⣤⡀⣠⣴⡿⠋⡟⣿⣷⡄⠀⠀⠀⠈⣹⠷⣄⡀⠀⠉⠛⠶⣄⡀⠀⠙⢻⡆⢹⡇⠀⢠⣤⣤⣶⣿⢿⡈⢿⡆⠀ ⡏⠳⣦⡀⣌⢻⢾⡿⣷⣯⠳⣦⣅⡴⠃⢸⡄⢠⠟⡾⢤⡀⢸⣿⣿⣷⣿⢫⢤⣉⢭⡘⣾⣷⣄⠀⠈⠉⣻⠘⢿⣿⣶⣄⡀⠀⠀⠙⠲⣄⠈⠃⠀⣿⠷⣿⣿⣽⣿⣾⣸⣇⠉⢿⠀ ⡇⢠⣼⣿⣏⣻⣾⣿⣾⣿⡵⠽⣧⣝⡦⣼⣧⠟⢸⣷⣤⡙⣬⡛⠛⢻⣿⣿⣿⢟⡿⣳⣿⣿⣿⣿⣿⡏⠁⣀⡉⠙⣦⠈⠙⠦⣄⡀⠀⠀⠀⠳⣦⡟⣦⣸⣿⣿⣿⡿⣹⢻⡂⠘⢧ ⢛⡶⣻⣽⣿⣿⣿⣿⣿⣿⣿⠿⣿⣷⣟⣿⣧⣄⣸⡻⣍⣿⡎⢿⡄⢸⣸⣝⠾⠭⢴⡷⠿⠉⠙⠿⣫⠖⠋⠉⠉⠁⢹⣷⡄⠀⠈⠙⠲⢤⣀⠀⢸⠃⠈⠻⣍⠙⢿⣳⡟⠀⢻⡀⠸ ⣻⢾⣿⣛⣻⣿⡿⣿⣿⣿⡽⠯⣿⣗⠛⠷⢿⣆⢽⣿⠿⠿⣿⣮⣿⣄⣦⠙⣯⢾⣍⠀⢀⣠⡴⠟⠒⠁⠀⠀⢶⣄⣀⣘⢿⡳⢶⡤⠔⠒⠚⠋⢻⡆⠀⠀⠘⢷⡌⠙⣷⡀⠈⠹⣄ ⢀⣤⠙⢦⣸⣿⣿⣻⣯⣯⣇⢲⣾⣆⠀⠀⢰⠛⢾⣿⠀⢀⡈⠛⣿⣻⡃⠀⠳⣄⡹⣿⠟⢉⣴⣾⠿⢿⣿⣷⣯⣩⡽⣿⣧⣿⣦⠉⠳⢤⣀⣀⠼⢧⠀⠀⠀⠀⠻⣆⠘⣷⡀⠀⠈ ⢋⡥⢀⣴⠟⠷⣾⣿⣿⣿⡿⠉⢩⣽⣥⣤⣸⣄⣼⡏⠐⡟⡯⡷⡌⣧⡷⠀⠀⠀⠈⠀⠰⢫⡿⣃⣀⣀⡀⠈⠙⢿⣷⣭⣿⢘⡃⢀⠴⠋⣁⡘⢷⡈⢳⣄⠀⠀⠀⣯⡀⠈⠻⣄⢀ ⠉⣠⠞⠃⠀⠀⠈⣹⠿⢾⣅⡠⣾⠟⠂⠀⣰⣿⣿⣣⣄⠉⢧⡉⠟⠘⠃⠀⠀⠀⠀⠀⠀⠈⠡⡏⣿⡏⡿⠀⠀⢠⡿⠋⠉⠉⢿⣯⣠⣾⣍⡁⢘⡿⣄⠙⢶⣄⠀⠘⢷⣄⣤⣶⣯ ⡾⠁⠀⠀⢀⣤⠞⠁⠀⠀⢹⣿⠛⢲⡶⣼⡷⡽⣹⡇⠻⠿⡶⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡺⠿⠋⣀⡤⠆⠈⠀⠀⠀⠀⠈⢿⣻⡳⣼⢏⣼⠀⠙⢷⣄⠉⠓⠦⠤⠭⠶⠤⠄ ⠀⠀⢀⣴⠟⠁⠀⠀⠀⢀⣼⠃⣠⡟⢱⡧⡽⠁⠙⣿⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣶⢦⣟⡋⣛⣷⣿⣦⣠⣄⣤⣤⣤⢄⣟⣻⣝⠷⣞⡁⠀⠀⠀⣈⣙⡓⠶⠤⠀⠀⠀⣠ ⣀⡴⠛⠁⠀⠀⠀⠀⢠⡾⠁⣴⠏⠀⣾⢷⣣⡴⠚⢹⡎⠉⢛⠁⣤⡀⠀⠀⠀⠀⢀⣀⣀⡙⠛⢿⣿⣿⣿⢿⣿⣿⣿⡿⢛⡭⠉⠀⣠⡼⠛⢺⣭⣟⣲⡶⣶⢆⣶⡶⠒⣛⣫⠟⠋ ⠁⠀⠀⠀⠀⠀⠀⣴⠏⣡⠞⣉⡤⠀⢻⢻⡁⠀⠀⠀⢻⣄⡯⠄⢿⣉⠛⠛⠛⠛⠉⠀⠉⠻⣷⠀⠈⣿⣿⣿⣿⣗⡀⠀⠈⠛⠒⠋⣹⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡼⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⢱⣾⠷⢻⡏⠀⠀⠘⣟⣇⠀⠀⠀⠀⢻⣦⠀⠸⣿⣷⣦⡶⠶⠒⠚⢧⣾⣿⠅⢀⣽⣿⠇⠙⣿⠟⠁⠀⣠⠴⠞⠃⠀⠀⠀⢸⣿⢿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀ ⣀⣀⣤⣶⣯⠷⠛⠉⠀⣰⠛⡇⠀⠀⠀⠘⣿⣦⡀⠀⠀⠀⠻⣷⡀⣿⠻⣏⣀⠀⠀⢠⡟⢟⡿⠃⠀⠻⢋⣴⠎⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⢈⣿⣾⣿⣿⣿⣿⣽⣿⠛⠙⠛⠓ ⠉⠙⢻⡟⠶⠶⠤⢄⣀⠋⠀⠁⠀⠀⠀⠀⠙⢿⣿⣄⠀⠀⠀⠈⠿⣾⡲⢬⣉⣉⣉⠭⠴⠋⠀⢀⣠⣶⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⣿⣿⣿⣿⡿⣿⡇⠀⠀⠀ ⠤⠀⡿⠃⠀⠀⠀⠀⠀⠁⠠⠀⠀⠀⠀⠀⠀⣰⠈⠛⠷⣄⡀⠀⠀⡈⠻⣶⣤⣤⣤⣤⣴⣶⡿⢿⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⢻⣯⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡗⠉⢀⠀⠈⠉⠀⠀⠙⢦⡄⠀⢹⣟⣿⣿⣿⣻⣿⠺⠥⣄⡀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⠚⠋⢀⣀⣀⣤⡤⠴⠾⠻⣦⡀⢻⣼⣿⣿⣿⢻⣇⣀⡀⠉⠃⣀⡀⠀⠀⠀⠚⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠀⣀⣠⡤⠤⠶⠿⠒⠚⠛⠉⠉⠀⠀⠀⠀⠀⠀⠙⢷⣌⣿⢿⣿⣿⣿⣧⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠀⠀⢀⣠⡶⢿⣷⠒⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⡤⢤⣤⣤⠴⢖⡿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣫⣷⣴ ⢀⣤⢶⡿⣫⠶⠋⠀⠀⣀⣀⣤⣤⣴⠶⠲⣟⠛⠫⢽⡿⠁⢤⣶⣿⣿⡗⣿⡖⢿⣄⣧⠿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣾⣿⣿⣿⣿⣟⡿⣟⣿ ⣫⢗⣋⣩⡥⣶⠶⣿⣿⣉⣁⣩⡭⢷⣾⡛⣭⣭⣿⣻⢷⡚⣟⣿⣟⣿⣿⣟⠲⠤⠨⣯⣾⣿⣿⣿⣚⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿ ⢻⣿⣧⠙⣧⡘⢳⣄⠹⣯⣉⣸⡇⠛⠛⣹⣿⣿⢿⣿⠿⣿⣿⣿⣿⡿⠃⠙⠷⣤⣶⣟⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⢠⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡛⠉⠹⣦⠛⠯⣇⠙⣾⡛⢿⣏⢹⣷⣾⠋⢷⡞⢙⣿⣿⣿⣿⣿⣿⣿⣲⣤⡶⠿⢥⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿ ⣤⣀⣀⣨⣿⣄⠘⢷⡌⠛⠀⠿⢖⡿⠃⠀⠀⣻⣿⣿⣿⣾⣟⢿⣿⢿⣿⣿⣻⣇⠀⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣿⠿ ⠋⠉⠉⣹⣇⣙⣷⣄⠿⢶⣆⢶⡚⠻⣶⣴⣾⣽⣼⣿⢿⡟⣽⣷⡬⣙⣳⣶⡿⠿⠟⣿⢾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣯⡾⣿⣿⣿⣿ ⠀⠀⢰⡿⠉⠉⠉⠻⣯⡙⠻⣅⠙⢦⡘⢷⣴⢿⣿⣿⣯⠴⠟⠛⠋⠉⠁⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⣇⠀⠀⠀⠀⢠⣾⢿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⡟ ⡀⢀⣼⣷⣄⣀⣀⣤⠾⢻⣤⣼⣷⢢⣿⣤⣽⣭⣭⣅⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣷⣿⣿⣦⡀⠀⠀⢻⠀⠀⠀⠀⣸⣿⣾⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣡

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⠀⠀⠀⠀⠀⡀⠀⠊⠆⠄⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠋⠀⢀⠂⠀⢀⠈⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠂⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠡⡀⠀⠄⢀⠐⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠉⠀⢠⡢⠤⡀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⢸⡠⠄⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣁⣀⡀⠀⡀⢤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠔⠀⠀⡒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡄⠀⢸⠀⠀⡀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⢰⠀⠀⡄⢱⠀⠀⠀⠀⠀⣀⠀⣀⠀⠀⠀⠀⠴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠀⠂⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⠀⠀⡜⠀⢈⡄⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⡆⠄⡜⠀⣺⠀⠀⠀⢠⢪⠀⡰⠀⡅⠀⡠⠊⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠎⡈⡄⣼⠀⠀⢏⠄⠄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⠜⡠⠊⠁⠉⠉⢲⢃⠂⡴⠀⢀⡿⠊⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠂⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠐⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⠱⡜⢠⠄⡸⠁⠌⠰⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠊⠀⠀⠀⠀⢀⠎⢄⠌⠀⢀⠊⠇⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠸⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡐⠁⠑⡄⠀⠀⠀⠀⠀⠀⠈⠉⠆⠀⠐⠁⢂⠀⠐⠠⠐⠀⠆⡆⠀⡸⡗⡇⠀⠀⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠄⠀⠀⠀⡘⠀⣀⠤⠊⡅⠸⢀⡠⠊⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠦⠀⠀⠀⠑⠄⡀⠀⠀⠀⠒⢤⣀⢀⣀⡀⠀⠀⠀⢀⣀⣀⠤⠐⠈⠁⠀⠀ ⠀⠀⠀⠀⠈⠁⠃⠀⠀⠊⠉⠑⠂⠐⢄⠀⠀⠀⠀⠃⠀⢀⠾⠀⠀⠀⠀⠀⠈⢕⢠⠁⣇⠃⠆⠆⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⠐⠀⠀⠀⠓⠈⠀⠀⢸⠀⠊⠁⠐⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠈⠄⠀⠀⠀⠀⠈⠐⠠⢀⠀⠀⠀⠉⠫⢉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣷⣶⣿⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠰⡐⠢⡐⢢⠐⢢⠐⢢⠐⢢⠐⢢⠐⢢⠐⢢⠐⢢⠐⢢⠐⢢⠐⢢⠐⢢⡔⢤⢦ ⡁⠆⡑⠤⢁⠊⡄⢃⠂⡍⠄⡊⠄⢃⣂⠉⣄⣪⣴⣬⣦⣼⣤⣮⣴⣌⣏⡀⠀⣩ ⠐⠌⡐⠌⢂⠡⠒⡈⠔⡐⠌⢠⣉⣶⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿ ⠈⡔⠐⡨⠐⢂⠡⠐⢂⡐⢨⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠡⠀⠅⠄⡑⠂⠌⠌⠠⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⣿ ⠀⢈⠀⠄⠀⡐⠈⠀⠁⢸⣿⠅⣻⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣬⣰⣿ ⠀⠂⡀⠄⠂⢀⠠⠁⠈⢼⡏⠀⠈⢸⣿⣿⣿⣿⣿⣯⣯⢫⣿⣿⣿⡟⠫⣧⠈⠿ ⠀⠁⡀⠄⠂⠀⠄⠠⠁⢺⠀⠠⠁⢸⣿⣿⣿⣿⣿⣿⣿⣮⣽⣿⡿⠀⠀⢀⠀⣸ ⠀⠁⢀⠠⠀⠁⠠⠀⠄⠉⢀⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡇⠀⠀⠈⢩⠍ ⠀⠈⠀⠀⡀⠁⠀⠂⢀⠈⠀⠠⢈⣿⣿⣿⣿⣿⣿⣿⣿⣟⣹⡟⣡⣿⡷⠲⡖⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠟⣿⣿⡿⢳⠉⠠⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠈⡛⠁⠀⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⣼⡆⠀⠰⡌⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⡜⣿⡆⠀⠇⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⢸⢃⠀⠀⠀⠀⡇⢹⣿⣜⠀⠀

⠀⠀⠀⠀⠀⠀⣰⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣿⡆⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡤⠴⠊⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠴⢶⣾⣻⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣠⠴⢤⠤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣟⡿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡵⡿⠛⠉⠀⠀⠀⡴⠋⠀⠀⠀⠀⠉⢻⣤⣄⠀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⢀⣠⣬⢿⣷⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠚⣿⠎⠀⠀⢀⡴⣠⣶⣧⡀⠠⡄⠀⠀⠀⠀⠀⠙⢯⡗⢲⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣽⣿⣿⣼⣿⣿⢹⣿⣿⣿⡆⠀⠀⠀⠀⠀⠐⡄⠠⣀⠀⠈⠑⠀⠠⠆⡴⠁⠀⠀⢀⣼⠏⢷⠀⠀⣸⣷⢿⣿⣟⡇⠀⣏⡄⠀⢲⠈⡖⠀⠘⢧⠀⢉⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⣿⣿⣿⣿⣿⠄⢿⠿⣏⡁⠀⠀⠀⠀⠀⠀⠈⢠⠙⣿⡆⠂⣀⣀⢹⣧⠀⠀⢀⣾⠋⢠⣿⢸⢀⣏⠇⠀⠀⢹⣷⡌⢻⡟⠷⢿⣦⣹⢠⠀⢸⣷⠟⠉⢀⠀⢰⣶⣷⣄⡀ ⠀⠀⠀⠸⣿⡿⠿⡟⠁⢠⡟⠀⠁⠂⠤⠀⠼⠀⠀⠀⠀⠀⠻⢿⢿⣿⣿⡿⠋⠁⠀⣰⡿⡟⠀⣾⣧⣾⢻⣹⠀⢠⡤⠤⣿⡏⢻⠁⣼⣾⡿⣿⠀⣳⣉⢿⣷⣦⣾⣷⣾⡉⣠⣼⣿ ⠀⠀⠰⣆⠀⣷⣼⠿⠆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⣽⣿⠟⠁⠀⣠⠾⢫⣿⠇⢸⣾⠟⠁⢻⡏⠀⠀⠀⡄⠀⢻⣿⠀⠈⢹⠃⣿⡼⠁⠹⣿⡿⣿⣭⣿⣿⣷⣋⣾⣿ ⠀⠀⠀⠙⢧⡹⡇⠀⠠⡅⠀⠀⠲⠢⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠀⠀⠀⠀⣀⣼⣿⠀⢸⣿⣄⣠⡜⣇⠀⠀⣾⣁⠀⠀⡟⠀⠀⠈⠀⠈⠀⠀⢈⣿⣦⣼⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⡀⠻⡇⠀⠘⣧⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⡆⢸⡿⠉⢉⡿⠙⠃⠀⠛⠟⠓⢺⢳⠧⠀⠀⠀⣀⠀⠀⢰⡿⠟⢋⣽⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⢲⡇⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡇⣼⣇⠀⠈⠇⠀⠀⠀⠀⠀⠀⣾⠏⡄⠀⠀⣰⠏⣤⠀⣸⠴⢚⣭⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠘⣟⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠻⣷⣿⣿⣄⠀⠳⠤⠤⠴⠀⠀⣼⣟⡼⠁⢀⣼⣿⣾⣿⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⢹⡝⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣧⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣦⠀⠀⠀⠀⢀⣼⣿⠟⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣆⠀⠀⠀⠀⠈⡇⠀⠀⠀⠈⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣧⣿⣷⣀⣠⣤⣶⣶⣶⣿⣿⢿⣿⣿⣿⣷⣶⠒⣶⣿⡿⠃⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠀⣶⣶⣷⣾⡇⠀⠀⠀⠀⠸⣿⣿⣶⣶⣿⣿⣷⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠛⠛⢻⡇⣴⡿⠏⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢫ ⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠈⠷⣶⢿⡿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⢀⣾ ⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⢠⠎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢁⣀⠤⠐⠒⠀⣠⠴⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣁⣀⣀⣦⣾⠃ ⠀⠀⠀⠀⠀⠀⣿⡆⢀⡴⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⣷⣶⣿⣿⠟⠁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠯⠤⠤⠤⣤⡽⣿⠇⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢁⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⡿⣟⣿⠿⡿⢿⣿⣿⣿⣿⠏⡴⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣼⣷⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⢠⠁⠀⠉⠛⠛⠻⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡇⠀⠀⠀⠀⣸⣵⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠘⠿⣿⢖⣿⣿⣿⣿⣿⣿⡿⡿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⡧⠤⠤⣄⣴⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⢀⣿⡞⢹⣿⣿⣿⣿⣿⣷⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⡖⠒⣲⢫⡟⠀⠀⠀⠀⠀⠀ ⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⢸⢿⣿⣿⣿⣿⡟⢻⣿⢹⣿⣿⣿⣿⣿⣿⣿⣧⣾⣦⣿⣿⡇⢰⣳⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠒⠤⢄⣀⠀⠀⠀⠀⡠⠔⠋⠁⠀⠀⠀⣴⠆⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⢸⢸⣿⣿⣿⣿⣷⢸⣿⣾⣿⣿⣿⣿⣿⡿⣿⡟⣻⠿⣿⣿⣧⢯⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡴⢻⡼⣿⣿⣿⣿⣿⡹⣟⣿⣿⣿⣿⣿⣿⣁⣿⡇⢟⠁⣿⣿⡯⠾⣿⣿⣿⠿⠛⠛⠛⠛⠛ ⠀⠀⠀⠀⠀⢀⣠⠔⣾⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠖⠛⠃⠛⠛⠛⠛⠿⣶⣷⣿⣿⣿⡯⠍⠉⠀⣿⣿⣿⣿⣿⣿⡇⠀⠉⢹⠃⠀⠀⠀⠀⠀⠀ ⠄⠀⠰⠚⠋⠉⢀⣼⣾⣿⣿⣟⣛⣛⡛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⡿⠧⠄⢀⣸⠀⠀⢀⣶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠻⠿⠿⠿⠿⢿⣳⣶⣶⣶⠶⣤⣤⣤⣤⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⣀⣀⣀⣀⣩⣭⣤⣿⠀⠀⠚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣷⣶⣶⣶⣶⣶⣶⣦⣤⣤⣬⣍⣉⣉⣉⣉⣉⠉⠛⠛⠛⠛⠻⠿⠿⠿⠶⣶⣒⣷⣶⡶⠶⠿⠿⠿⠟⠛⠛⠛⠛⢛⣉⣉⣉⣹⡀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠸⢸⠶⠚⠀⠈⠸⠉⡗⠊⣿⣿⣿⣿⣿⣿⣿⡟⠀⠒⠉⠉⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠉⢡⣿⣿⢿ ⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⢇⢡⠀⠘⡟⠿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠈⢻⠋⢸ ⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣐⣤⣶⣮⣕⡺⣼⠀⠀⡇⠀⡟⡄⡁⢇⠀⠀⢀⡤⣲⣽⣷⣶⣬⡿⡻⢿⣟⢻⠟⢋⣸⠀⠀⢸⠀⢹ ⠀⡘⢀⡇⠀⢠⠀⠀⠰⠀⢇⠈⡰⠋⢰⢣⣾⣿⡟⢮⣇⠀⢣⠀⡇⠈⢦⡘⡄⠀⢩⠞⣿⣴⣿⣷⢈⡿⠋⠘⡓⠚⠁⠒⠫⠄⠒⠺⡏⢸ ⢠⠁⠎⡇⠀⢸⡀⠀⠀⢃⢸⣴⠱⠀⠸⣺⠛⢿⠇⡸⠈⠀⠈⣆⢡⠀⠀⠉⠚⠂⢐⡀⠽⠙⡻⠝⠉⢀⠤⠊⠀⠀⡠⠒⠀⠀⠀⠀⠑⢸ ⠀⡜⢨⠀⠀⢨⠃⠀⠰⡈⢞⡘⢧⠑⠤⣁⣒⡪⠔⠁⠀⠀⠀⠘⢮⣆⠀⠀⠀⡠⠃⢀⠔⠉⢀⠄⠊⠁⢀⡠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⡘⠀⠸⠀⠀⠈⡆⠀⠀⢱⡈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠰⠁⠀⠸⠀⠀⢸⠀⠀⠀⠃⠀⠀⠀⠀⠀⢀⡸⠔⠁⠀⠀ ⠁⠀⠇⠀⠀⠀⠀⠀⠀⠀⡟⣄⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⡠⡇⠀⠈⡀⠀⠀⢣⠀⠀⠀⠀⡞⠥⢀⡀⠀⠀⠀ ⠀⡘⠀⠀⠀⢀⡆⠀⠀⠀⢰⢇⠑⠪⠷⣤⡤⠀⠀⠀⠀⠀⠀⡀⠈⡡⠊⠀⠀⠀⣴⠁⢰⠀⠀⢣⠀⠀⠈⢆⠀⠀⠀⠀⠀⡀⠈⠂⠀⢀ ⢠⠃⠀⠀⢠⠊⠇⠀⠀⠀⠈⡼⡀⠀⠀⠀⠀⠀⠎⠀⠀⠀⠠⡶⠋⠀⠀⢀⠠⠊⠀⢁⠘⡀⠀⠈⢆⠀⠀⠈⢆⣀⣀⣴⣺⠉⠀⠀⠀⢸ ⡂⠀⠀⡔⠁⠀⢠⠀⠀⢀⠀⢣⣳⠀⠀⠀⣀⣀⣆⣀⣀⣀⣀⣙⣠⣖⡛⣋⣉⣉⣑⣚⣤⣭⢒⣠⡬⣑⣒⠶⢖⡟⠀⠐⢮⡁⠀⠀⠀⢸ ⠄⠀⡞⠀⠀⠀⢸⠀⠀⠸⣀⣾⣿⢣⣀⣠⣛⣛⢿⣿⣛⣟⣛⣛⣟⣻⣟⣛⣛⣛⣻⣻⢛⣟⣄⣄⡀⠀⠀⠉⠒⠃⠀⠀⠀⠱⣄⠀⠀⢸ ⡼⣾⠶⠆⠤⠬⠭⡦⢤⣴⣿⣿⣧⠀⠙⢍⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠉⠉⠛⠯⢝⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣦⢀ ⠀⠠⡄⢰⣶⡄⢠⣾⣿⣿⣿⣿⣿⠀⠀⠀⠑⠢⣀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⠀⠀⢀⣤⡎⠈⠑⠢⣀⠀⠀⠀⣶⣶⡄⢠⣦⠀⣶⢾⢹ ⠀⠀⠁⠈⠉⠁⠈⠙⠙⠻⣿⣿⣿⡆⠀⠀⠀⢠⢻⠑⠢⣤⣀⡀⠀⠀⠀⣀⣡⣴⣾⣷⣏⡇⠀⠀⢠⣿⣷⣦⣤⣭⣉⣀⡈⠉⠀⠉⢉⢸

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⡚⡜⡰⢂⡙⠰⢒⡐⢂⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡘⠤⢁⠂⠌⢁⠂⠄⠂⠐⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢄⡡⠂⠄⡈⠄⠀⠀⠌⠠⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠠⢁⠀⠠⢀⠀⠠⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡉⡔⢠⠀⡅⢠⠀⠄⡂⠤⠀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠠⢁⠀⠈⠄⠁⠀⠐⠠⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠀⠀⠂⠀⠀⠈⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣼⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠀⠄⠀⠀⠐⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠠⠁⠀⡀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠈⠀⠠⠀⠀⠀⠄⠀⠠⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠄⠀⠀⠠⠀⠀⠄⠀⠀⠠⠀⠀⠄⠀⡀ ⠈⠀⠂⠁⠀⠀⠀⠐⠀⠀⠀⠀⠠⠁⠀⠂⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣷⣿⣶⣾⣶⣦⣤⣀⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣆⡀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⡀⠀⠀ ⠈⠠⠁⠀⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠄⠀⠠⠀⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠀⠠⠀⠀⠀⠀⠄⠀⡀⠀⠀⠀⡀⠀⠀⠀⡀ ⠈⠀⠂⠁⠀⠀⠀⠐⠀⠀⠀⠀⠐⠀⠠⠀⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠠⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⠀⡀⠀⠀⠀⡀⠀⠀ ⠘⠀⠂⠀⠂⠀⠐⠀⠀⠀⠀⠀⠠⠀⠀⠄⠀⠀⡀⠀⢀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣄⣈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⣠⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠠⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡀⠀⠀⠀⡀ ⠐⠀⠂⠁⠀⠀⠀⠐⠀⠀⠀⠀⠀⠄⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣠⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⡀⠀⠀⠀⡀⠀⠀ ⠐⠈⢀⠐⠀⠀⠂⠀⠄⠀⠀⠀⠄⠀⡀⠀⠀⠀⡀⠀⡀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⢀⠀ ⠐⠈⠀⡀⠄⠀⠀⠄⠀⠀⠀⠀⠀⠄⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀ 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⠐⢀⠂⠀⠄⠀⠀⠄⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢀⠀⠈⠀⠀⠀⢀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⣭⣳⢟⡽⣎⡷⣛⡶⣝⣮⠽⣎⣿⣹⣿⣿⣿⣿⡝⣾⣹⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⡀⠀⠁⠀⠀⠀⠁⠀⠀ ⠐⠀⠄⠂⠀⠀⠀⠠⠀⠀⠀⠀⢀⠂⠀⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⢿⣿⣧⣛⡮⢷⣹⢞⣽⣛⠿⣜⣻⣼⣿⣿⣿⣿⣿⣷⣿⣼⣿⡿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠁ ⠐⠠⠀⠄⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣯⣻⣿⣿⣵⣫⢯⡽⣞⢧⣏⢿⣹⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣳⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀ ⠐⠠⢀⠠⠀⠀⠠⠀⠀⠀⠀⠀⠈⠀⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⢣⣟⣿⣷⣏⠾⡵⣏⢾⣚⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⣿⣿⡽⣎⣟⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀⠀⠁ ⠠⠄⠀⡀⠀⠀⠀⠄⠀⠀⠀⠀⠠⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣞⠿⣼⣹⣿⣯⣟⡳⣽⣣⣿⣿⣿⣿⣿⡿⣭⢳⡻⡼⣽⣿⣿⡼⣽⣞⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀ ⠠⢀⠂⠀⠠⠀⠀⠠⠀⠀⠀⠀⡀⠄⠀⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠴⣿⣿⣷⣾⣿⣶⣯⣿⡷⣭⢷⣳⣿⣿⣿⣿⣿⣿⣿⢧⣟⣳⡽⣹⣿⣽⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠀⠁⠀⠀⠀⠁ ⠠⠀⠄⠂⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣷⣿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡳⣞⡵⣫⣽⣿⣷⣿⣿⡟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠀⠁⠀⠀ ⠠⠄⠠⠀⠠⠀⠀⡀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠁⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⡳⣿⣿⣿⣿⣯⢳⡝⣾⡱⢯⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠀⠁ ⠠⠀⠄⠀⠄⠀⠀⢀⠀⠀⠀⠀⢀⠂⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢳⣿⣿⣿⣿⣿⣿⣗⣯⡟⣿⣿⣿⣳⢯⡽⣖⡻⣽⣿⣿⡀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀ ⠠⠐⠀⠈⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡗⣻⣿⣿⣿⣏⡟⣿⢻⡿⣿⣿⣿⣿⣧⣻⣼⣣⣟⣵⣿⣿⡌⣹⣿⡄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠈⠀ ⠠⢀⠁⡀⠄⠀⠀⢀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⠇⡜⣿⣿⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣸⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠈⠀⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀ ⠠⠀⠄⠀⠀⠀⠠⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠁⠘⠀⠀⠀⠀⢰⣿⡿⢋⡜⣸⣿⣿⣻⢽⡻⡿⢿⡿⣿⣿⣿⣿⣿⢿⠿⣟⡿⣹⣿⣿⡱⢄⢛⢻⣿⣆⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀⠀⠁ ⠠⢀⠂⠈⠀⠀⠀⡀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢣⠰⣹⣿⣿⡽⣞⢿⣹⢧⡟⣿⣿⣿⣿⢻⢮⣟⡽⣞⣳⣿⣿⡇⢼⣮⣽⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠈⠀⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀ ⠠⠀⠄⠂⠁⠀⠀⢀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣧⣇⣼⣿⣿⡳⣏⡿⣼⢳⢯⡽⣿⣿⡞⣯⢷⡺⣝⡾⣱⣿⣿⣯⣶⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀⠀⠂ ⠠⠈⡀⠀⡀⠀⠠⠀⠀⠀⠀⠀⠈⠀⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⣿⢷⡻⣵⢻⡼⣏⡷⣻⣿⣿⣝⡮⢷⡻⣝⡞⣷⣻⣿⡟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠂⠀⠀⠀⠂⠀⠀ ⠠⠀⠄⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣆⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⢯⣗⢯⣻⢼⡳⣽⢳⣿⣿⢮⣽⢳⢯⡽⣞⢧⡷⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠂⠀⠀⠀⠂ ⠠⠈⡀⠈⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⣿⣿⣿⣷⣦⣶⣾⣿⣿⣿⣿⢿⣿⣿⣟⡿⢾⣹⢮⣗⡻⣵⣻⣿⣿⣳⢞⣯⢻⡼⣽⢺⡽⣿⣿⡄⠀⠀⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠂⠀⠀⠀⠂⠀⠀ ⢠⠀⠄⠀⠁⠀⠀⢀⠀⠀⠀⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢉⣾⣿⣿⣻⢼⡿⣣⠿⣜⣻⢶⡳⣿⣟⣮⠿⣜⣯⢳⣏⡷⣻⢼⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠂⠈⠀⠀⠀⠀⠂⠀⠀⠀⠂ ⢀⠀⠄⠈⠀⠀⢀⠀⠀⠀⠀⠀⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠟⠛⠛⠉⠀⢀⣾⣿⣿⣿⣹⢞⣳⢯⣻⡝⣷⣫⠷⣿⣿⢮⣛⡷⣺⢯⣞⡵⢯⣏⣿⣿⡄⠀⠀⠀⠀⠀⠀⢀⠀⢠⣶⡇⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠂⠀⠀⠀⠂⠀⠀ ⢀⠈⡀⠀⠁⠀⠀⢀⠀⠀⠀⠀⢀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣷⡯⢯⡽⣞⡵⣛⡷⣭⡟⣿⣯⢷⡻⣼⢳⣏⣾⡹⢷⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⢺⣿⣷⣿⣿⣄⣤⠶⠋⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠐⠀⠀⠀⠐⠀⠀⠂⠀⠂⠀⠀⠀⠂⠀⠀⠀⠂ ⢀⡀⠠⠀⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣯⣷⣏⡾⣝⣳⢧⣟⣿⣿⡳⣏⣷⡻⣼⣖⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠘⠟⠋⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠂⠀⠀ ⢀⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠐⠀⠀⠀⠀⠐⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣾⣿⣿⡿⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠐⠀⠐⠀⠐⠀⠀⠀⠐⠀⠀⠀⠀⠂ ⢀⠈⡀⠀⡀⠀⠀⠁⠀⠀⠀⠀⠀⠁⠀⠂⠀⠀⠂⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⣻⣿⣿⢿⣤⡀⠀⠀⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠐⠀⠀⠀ ⢀⠀⠠⠐⠀⠀⠀⠈⠀⠀⠀⠀⠈⠀⠐⠀⠀⠀⠀⠀⠂⠀⠐⠀⠀⠀⠀⠐⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣾⣿⢋⣿⣿⣷⣮⣿⣿⣿⣏⣵⣾⣟⣿⡝⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⠀⠐⠀⠀⠀⠐⠀⠀⠀⠐⠀ ⢀⠈⡀⠄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠁⠀⠀⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⢿⠿⡿⢿⠿⠁⠠⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⠄⠘⠿⡿⢿⠿⡿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠐⠀⠀⠀ ⢀⠀⡀⠀⡀⠀⢀⠈⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⠿⠁⣹⣇⠙⢿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⠀⠀⠀⠈⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠂⠀⠀⠀⠂⠀⠀⠀⠂ ⢀⠐⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠂⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣾⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠂⠀⠀ ⢀⠈⡀⠀⢀⠀⠀⠁⠀⠀⠀⠀⠈⠀⠀⠀⠠⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣶⣾⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠆⠀⠀⠀⠀⠐⠀⠀⠀⠀⠐⠀⠀⠀⠐⠀⠀⠀⠀⠂⠀⠀⠀⠂ ⢀⠐⠀⡀⠀⠀⠀⠈⠀⠀⠀⠀⠐⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠂⠀⠀⠀⠂⠀⠀ ⢀⠀⡁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡀⠂⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠂⠀⠀⠀⠄ ⢀⠐⠀⡀⠁⠀⠈⠀⠀⠀⠀⠀⠐⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠄⠀⠀ ⢀⠀⠁⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠄⠀⠀⠀⠄ ⢀⠈⠀⠁⠀⠀⠈⠀⠀⠀⠀⠀⠈⠀⠠⠀⠐⠀⠀⠀⠄⠀⠠⠀⠐⠀⠀⠀⠐⠀⠀⠂⠀⠄⠀⠂⠀⠀⠀⠄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠄⠀⠀ ⢀⠈⠐⠈⠀⠀⠀⠁⠀⠀⠀⠀⠐⠀⠀⠄⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠄⠀⠂⠀⠀⠀⠄ ⢈⠀⢁⠀⢂⠀⣈⠀⡀⠀⠀⠀⠄⠂⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠠⠀⠀⠀ ⠘⠈⠙⠈⠃⠒⠙⠢⠓⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⣧⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣏⡀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⢍⠉⣻⡍⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠟⣿⠶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣾⠿⣿⢿⠻⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡟⡟⡼⠁⠀⠸⣿⣿⣿⣿⣿⣿⣿⢿⠁⡼⠁⠈⢆⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡏⡇⢹⠀⠠⣀⠸⡇⠙⢿⣿⢻⣿⠘⠀⢩⠗⠀⠀⡟⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠳⣌⠳⢄⡀⠔⠙⢄⠀⠙⠀⠙⠀⠀⠠⡑⠀⠄⣏⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡷⡀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣿⣿ ⣿⣿⢻⣿⠇⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿ ⣿⣿⣾⣿⡇⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⢻⣿⣿⣿⣿⣿ ⣿⣿⡟⣿⡀⠀⠀⣶⡈⠓⢦⣀⠀⠈⠁⠀⠀⠀⢀⣴⡞⢰⣿⢸⣿⣿⣿⣿⣿ ⣿⣿⡇⣷⠁⠀⠀⢻⡇⠀⢸⡝⢿⣶⣤⣤⣴⣾⣿⣿⡇⢸⡇⢸⣿⣿⣿⣿⣿ ⣿⣿⡇⣾⠀⠀⠀⢸⠇⠀⠀⡇⠀⠉⠻⢿⣿⡿⠿⠃⢵⢸⡇⢸⣿⣿⣿⣿⣿ search "dollete" for more !

⠀⠀⠀⠀⠀⠀⣤⠀⣤⣤⣿⣿⣿⣤ ⠀⣤⠀⣤⣿⣿⠛⠛⠛⠛⠀⢸⣿⣿⣿⣤⣤⢸⣤⣤⣿⣤ ⣤⣿⠀⣿⣿⣤⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤ ⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠀⣤⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤ ⣿⣿⣿⣿⣿⠛⣤⠀⠀⠀⣤⣿⣿⠀⠀⣿⣿⠀⠛⢸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠀⣿⣿⣤⠀⠀⣿⣤⣿⣿⠛⠛⠛⣤⢸⣿⣿⠛⣿ ⠛⣿⣿⣿⣿⣤⣤⣿⣿⣤⠀⠀⠛⠀⠀⠀⠀⣤⠛⠀⣿⣿⣤⠛ ⠀⠛⣿⣿⣿⡇⠛⠛⠀⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠛ ⠀⠀⠀⣿⡇⠀⠀⠀⠀⣿⣤⣤⣤⠀⠀⠀⠀⡇⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⣤⣿⣿⠛⠛⠀⠀⠀⠀⠀⣿⣿⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣿⣿⣿⣤⠀⠀⠀⠀⣿⣿⠛⢸⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⠀⠛⠀⣿⣿⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣤⠛⣿⣿⣿⣿⣿⠛⠀⣿⡇⢸⣿ ⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠛⠛⠛⠛⛩️🌸🍥☯🍜🍥🍜🦊Naruto⛩️🌸🍥☯🍜🍥🍜🦊Naruto

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣷⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⢛⣿⣿⠿⠟⠋⠉⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠿⠿⣶⣦⣄⣀⣴⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣾⠿⠋⠁⠀⠀⠀⠠⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⠟⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⡄⠀⠻⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⡀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣾⣿⣿⠿⢿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⠃⠀⠀⠀⠀⣠⠂⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣧⠘⢿⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣿⠇⠀⠀⠀⠀⢠⡟⠀⠀⢀⣴⣿⡇⠀⠀⠀⠀⠀⠀⣴⡄⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣇⠘⢿⣿⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⠀⠀⠀⠀⣼⠃⠀⢠⣾⠋⠸⣿⠀⡄⠀⠀⠀⠀⣿⣿⣄⠀⠀⢠⡀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡄⢘⣿⣿⣿⣿⣿⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣷⠄⠀⠀⠀⢰⣿⠀⣰⡿⠧⠤⣤⣿⡆⣷⠀⠀⠀⠀⣿⠉⢿⣦⠀⠘⣿⣦⡀⢻⣷⡀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣷⣿⣿⣿⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢸⣿⣰⡿⠁⠀⠀⠀⠘⣿⣿⣇⠀⠀⠀⣿⠀⠠⣿⣷⡶⣿⡿⢿⣮⣿⣇⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡿⢿⣿⠀⠀⠀⠀⣸⣿⣿⣷⣿⣷⣦⣄⠀⣹⣿⣿⡄⠀⠀⣿⠀⠀⠀⠘⠿⣿⣧⠈⠻⣿⣿⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠏⠘⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠇⢸⡿⢾⡄⠀⠀⣿⣿⠋⢱⣿⣿⣿⣿⣷⡟⢻⣿⣷⡀⠀⣿⡀⢠⣤⢀⣠⣬⣿⣤⣄⡘⢿⡇⠀⠀⠀⢸⡀⠀⢿⣿⣿⣿⣇⠀⠀⢿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⠀⢸⡇⢸⡇⠀⠀⣿⣿⠀⣿⣿⣿⣿⣯⣉⣿⠀⠹⣿⣿⡄⢹⡇⢈⣴⣿⣿⣿⣿⣿⡿⣿⣿⣇⠀⠀⠀⢸⡇⠀⢸⣿⣿⣿⣿⠀⠀⢸⣿⠂⠀⠀⠀ ⠀⠀⠀⠀⣿⡏⠀⣸⡇⣸⣿⡀⠀⣿⣷⠀⢻⣿⠛⠉⠻⣿⡇⠀⠀⠈⢿⣿⣼⣿⠘⣿⣿⣿⣿⣏⣹⡇⠘⣿⣿⠀⠀⠀⣾⡇⠀⢸⣇⣿⣿⣿⡀⠀⠈⣿⡇⠀⠀⠀ ⠀⠀⠀⢀⣿⠇⠀⣿⣿⣿⣿⣇⠀⣿⡇⠀⠀⠙⠳⠶⠾⠋⠀⠀⠀⠀⠀⠙⠿⣿⣇⢻⣿⠛⠛⠻⣿⡇⠰⣿⡿⠀⠀⢠⣿⣿⣦⡀⣿⣿⣿⣿⡇⠀⠀⣿⣷⠀⠀⠀ ⠀⠀⠀⣸⣿⠀⠀⣿⣿⣿⣿⣿⡄⢹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠻⠷⠴⠾⠋⠀⠀⣸⡇⠀⠀⣾⣿⣿⡿⢿⣿⣿⣿⣿⡇⠀⠀⢹⣿⠀⠀⠀ ⠀⠀⠀⣿⡇⣴⠀⣿⣿⣿⡏⠹⣿⣾⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⢀⣾⣿⣿⣿⠁⠀⠀⣿⣿⣿⡇⠀⠀⢸⣿⠁⠀⠀ ⠀⠀⢀⣿⠃⣿⢸⣿⣿⣿⡇⠀⠘⢿⣿⣿⣿⣿⡻⢶⣤⣀⡀⠀⠐⠶⠤⠴⠆⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡏⣠⣿⣿⣿⡿⠃⠀⠀⠀⢻⣿⣿⡇⠀⠀⠈⣿⡇⠀⠀ ⠀⠀⣸⣿⠀⣿⢸⣿⣿⣿⠀⠀⠀⠈⠻⠟⠻⣿⣿⣿⣿⣿⣿⣿⡷⢶⣶⣶⣦⣶⣶⣶⣶⣶⣿⠿⢟⣿⣿⣾⠟⠉⠉⠉⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⣿⣇⠀⠀ ⠀⠀⣿⡇⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⣿⣟⡹⣷⣴⡿⣿⣅⣰⣿⠋⠙⣿⣄⠀⠸⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⢿⣿⠀⠀ ⠀⢸⣿⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠃⠈⢹⣷⣾⠋⠉⢷⡄⢶⣾⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⢸⣿⠀⠀ ⠀⣾⡏⠀⠀⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⢠⠀⣼⢧⣿⠉⢉⠹⣿⣾⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠸⣿⡄⠀ ⢠⣿⠇⠀⠀⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⢸⢀⣿⠀⣿⠀⠀⠀⠈⢿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⣿⡇⠀ ⢸⣿⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣫⡿⡆⢸⣿⡆⣿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠀⠀⠀⠀⣿⣷⠀ ⢸⣿⡄⠀⠀⠈⣿⣿⣿⣧⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣻⡟⡹⠁⣼⡟⠃⣿⡀⢸⡄⠀⠘⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⢹⣿⡄ ⢸⣿⣧⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀⢸⣇⣈⣿⣿⣿⣿⣟⡘⠁⠀⣹⣷⣶⣟⠁⠀⢳⣀⣀⣘⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⢰⠀⠀⠘⣿⡇ ⢸⣿⣿⡄⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠛⠛⠛⢉⣼⣿⣿⣿⣧⣴⣿⣿⣿⣿⣆⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣿⠀⠀⠀⣿⣧ ⠘⣿⣿⣷⡀⠀⠀⠸⣿⣿⡆⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣾⡟⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⢠⣿⠀⠀⠀⣿⣧ ⠀⢻⣿⣿⣷⣄⠀⠀⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣷⡿⠟⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⣾⣿⠀⠀⠀⣿⡏ ⠀⠀⠹⣿⣿⣿⣷⣄⠀⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣯⣭⣿⣿⣿⣿⢻⣛⣉⣉⣁⣰⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⣼⣿⡏⠀⠀⣼⣿⠁ ⠀⠀⠀⠘⢿⣿⣿⣿⣷⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⢀⣾⣿⣿⠃⢀⣼⣿⠋⠀ ⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⢃⣴⣿⣿⣿⣟⣴⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠟⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⠟⠛⠁⠀⢿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ search "dollete" for more !

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⢀⣤⣶⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⠟⠛⠛⠛⢻⣿⣿⣿⣿⠟⠉⢻⣿⣿⣿⣿⣿⣿⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠛⢿⣿⣿⣷⠀⠀⠀⠈⠿⠿⠋⠀⠀⠀⠀⠙⢿⡿⠇⠈⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡟⠁⠀⠀⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⣠⢤⣜⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⠒⠒⠒⠒⠿⢭⣙⠓⠶⣟⠳⡞⠀⠻⣿⣿⣯⣦⠖⠴⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⡟⠀⠀⠀⢀⣠⡤⠴⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡷⠄⠈⣹⣅⠀⠀⣿⡟⣿⢧⣤⣀⠀⠙⣦⡀⠀ ⠀⠀⠀⠀⠀⡀⣾⠇⠀⠰⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⣀⡤⠖⣿⠈⣡⣾⡿⣜⢯⡻⣜⢿⣻⢶⣼⣶⡀ ⠀⠀⣀⡴⠗⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠚⠋⠁⠀⠀⠘⠋⠁⠀⠙⢿⣞⡽⣹⢮⡳⣏⡾⣽⡇ ⠀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣽⢣⡟⣵⡻⡼⡿⠀ ⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⡮⢯⣽⢺⡵⣻⠗⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣏⢾⣏⡞⣧⢟⣿⠃⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡝⣞⣳⢮⡽⣞⣽⡿⠀⠀ ⢸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⣗⢯⡽⣎⡷⣝⡮⣿⠃⠀⠀ ⠀⠚⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⣿⢻⡭⣗⢯⢾⣱⡻⣼⢣⣟⣿⠀⠀⠀ ⠀⠀⠀⠙⠶⣤⣀⡀⠀⠀⠀⠀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣶⢾⡟⣯⢳⡽⣚⣧⢟⣮⣛⡮⢷⣹⢧⡟⣾⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠋⠛⠒⠲⠶⠶⣤⣤⣴⢶⡶⣶⢶⡶⡿⣟⢿⣫⢟⣮⢳⣝⡮⣽⢺⡝⣾⡹⣎⡟⡶⣭⣛⡧⣟⢮⡽⣽⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣻⢼⣣⠿⣜⣧⢻⡵⣛⣮⢗⡯⣞⡽⣎⢷⡭⢷⣫⢷⡹⢧⣻⡝⣶⢫⢷⣹⡞⣵⢯⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢧⣻⢼⣿⣝⢮⡗⣯⣝⢮⣻⢼⣣⠿⣜⡯⣞⣻⢼⣣⢟⣯⢳⡽⣺⢭⢷⣣⢟⣮⢳⢿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢧⣛⢾⣿⡞⣧⢟⡾⣜⢯⡞⣧⢏⡿⣱⣻⡜⣧⡟⣼⣫⢞⣧⢻⡵⣛⣮⢗⡯⣞⣭⢟⣿⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠉⠉⠁⠀⠀⠉⠢⡉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣄⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⢣⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⠟⡟⠀⠀⢣⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢹⣿⣿⣼⡆⠙⠻⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠁⢸⡇⠀⠀⠈⢇⢹⣿⣿⣿⣿⡿⠁⢠⢮⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄ ⠀⢸⣿⣿⣿⡇⢀⣀⣀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠀⢀⣸⣇⡄⠀⠀⠘⡆⢻⣿⣿⣿⣁⠴⠃⢸⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⡇⠀⠀⣏⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠷⠚⣉⣼⣷⣶⣦⣀⠀⢰⡈⢿⣿⣿⣇⠀⠈⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⡇⠀⠀⠀⣭⠭⢽⠿⠋⣹⣿⣿⣿⣿⣿⣧⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣯⣴⢿⣿⢻⣿⣿⣿⣿⠇⠀⢃⠘⣿⣿⢿⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋ ⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠉⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣷⣤⡀⠀⠀⠀⠀⢀⣠⣿⡿⡟⡰⠊⠹⣶⠿⠿⢷⣤⠇⠀⠸⡄⠹⠏⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣁⡀ ⠀⣸⣿⣿⣿⡗⢶⡤⠀⠀⠀⠀⠀⣁⡬⣿⡿⠿⣿⣿⣿⣿⣷⣄⡸⣛⣿⣷⣄⠀⠀⠈⠉⣏⠁⢧⠁⠀⠀⠀⠙⣻⠟⠁⠀⠀⠀⡧⣰⣄⣤⣿⣿⣿⣿⣿⣿⣿⠟⠿⣿⣿⣿⣿⣿ ⣶⣿⣿⣿⣿⣿⠉⣧⣀⡠⢔⡚⠭⢒⡩⠵⠂⣉⠴⣿⣿⣿⣿⣿⣷⣿⣿⡝⣿⣷⡀⠀⠀⠀⠙⠚⠉⠒⠒⠒⠉⠀⠀⠀⠀⠀⢰⣳⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡿⣿⠿⡿⠏ ⣿⣿⣿⣿⣿⠿⢚⡭⠓⣈⠡⢖⠊⣁⢤⡶⢭⡤⠔⣿⣿⣿⣿⣿⣿⣿⣧⣙⠿⢯⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠁⠀⠹⣿⣿⣿⣿⡿⠿⣿⣿⣅⠘⠛⠛⠒⠓⠊ ⠄⢀⣩⠄⠀⣠⡽⢛⡉⣀⣤⠓⣉⣔⡯⠒⢩⣰⡷⠏⣠⠔⠛⣛⠟⠻⣿⣎⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⠹⣿⣿⣿⠀⠀⠱⡀⠙⣷⡀⠀⠀⠀⠀ ⠥⠌⠉⠁⢀⡬⠅⠀⣤⣤⣾⠿⠊⢁⡤⡶⠭⣮⠔⠊⠀⡠⠞⠁⣠⠜⠁⢙⢦⠀⠀⠐⢴⣒⠇⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⣠⠔⠒⠚⠛⠛⠉⠉⠱⡀⠀⠱⡄⠘⢗⡄⠀⠀⠀ ⣤⣀⠐⣚⣁⣤⢴⣾⣝⣋⣀⡤⢚⠥⢊⣤⠊⠁⢀⡴⠊⠀⡠⠚⠁⢀⡔⠁⠀⣹⠢⢤⣀⠀⢀⣠⠤⢀⡀⠀⠀⣠⠜⣇⡴⠋⠀⠀⠀⣀⣀⣀⣀⣀⣀⣣⡢⠀⠱⡀⠘⢿⣄⠀⠀ ⣉⣭⣿⣛⠽⠚⠁⣀⠤⠚⠁⢀⡠⠚⠉⠁⢀⠔⠁⠀⡠⠊⠀⢀⡴⠋⠀⢂⡔⠁⠀⠀⠛⠛⠛⢢⠶⠯⢧⣤⠚⢁⣴⣋⠔⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⢦⡀⠱⡀⠈⢫⠃⠀ ⢉⣐⠋⠃⣀⡴⠊⠁⠀⡠⠖⠉⠉⠉⠩⠟⠁⢀⣠⠊⠀⠀⡠⠊⠀⠀⣠⠊⠀⠀⠀⠀⠀⠀⠠⠇⠀⠀⢀⡇⣰⣟⣭⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠱⡄⠀⠑⠢

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⢀⣀⣀⡀⠀⠀⠀⣠⢴⢺⡹⠜⣦⣙⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⣿⢺⠹⣌⠧⡛⢦⣴⠺⡱⢎⡣⢞⡩⢖⣬⡟⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⢹⣷⣆⡀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⡿⣣⢫⡕⣎⠞⣩⢎⢷⡍⢧⢣⠝⡦⣙⣶⡟⢉⠱⢤⡴⠊⠙⣆⠀⠀⠀⠀⠀ ⢀⣿⣿⣿⣿⣦⡀⠀⣀⡀⠀⣾⣿⣿⡟⠉⣙⡉⢹⣍⢿⣰⢋⡖⣩⣾⡙⡎⡵⢪⣵⣯⢼⡇⢂⡶⡾⠓⠲⣤⠟⠢⡄⠀⠀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⢓⡃⢘⡎⢞⡹⢳⠾⡗⢧⡹⢼⡚⠉⠁⠀⠘⣇⢄⣹⣧⡁⣢⣿⠧⢐⡇⠀⠀⠀ ⠙⢿⣿⣿⡿⢿⢿⣿⣿⣿⣿⣿⣿⣟⡱⢫⡕⡫⠵⣙⢎⡱⢫⡜⢭⢲⠱⣋⠽⡀⠀⠀⠀⠈⠉⠁⠀⠉⠙⢤⣦⠟⣱⡤⠔⠂ ⢀⣾⣿⢃⡀⢀⣤⢻⣿⣿⣿⣿⣿⡡⢏⡱⣜⡵⠯⠾⠮⠵⠧⣞⣡⢏⡱⡍⣞⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣧⠤⠄ ⢸⣿⣿⣮⣥⣦⣭⣿⠟⠛⡻⢿⣿⡱⣫⠏⣵⣦⠀⠀⠀⠀⠀⠀⠈⡓⢧⡹⠔⣎⡇⠀⠀⠀⠀⠀⠀⠀⠰⠴⠂⠀⠤⡦⠄⣀ ⢸⡿⢳⣌⡙⠛⠋⠀⠠⣾⣿⠀⠉⢷⣃⠀⠛⠃⠀⠀⢔⡂⠀⠀⢸⣿⠆⢻⢩⡼⠟⠀⠀⠀⠸⠧⠀⢀⡔⣶⢢⣀⠞⠁⠀⠀ ⠀⢣⡘⠛⠀⡖⠀⣀⡤⡀⠀⠀⠀⣸⡿⠦⣄⣀⠀⣀⢧⡴⢄⠀⠀⠁⢀⣼⢾⠁⠀⠀⠀⠀⠀⠀⡔⢋⡴⢉⠚⠧⣀⠀⠀⠀ ⠀⠀⠈⠒⢤⠊⠉⣛⣮⣤⣤⣶⠿⠿⡷⠾⢽⣜⡭⠇⢫⠀⠀⢷⣛⣛⡧⠸⠋⠙⢛⡟⠛⣻⡟⠛⠳⡋⢱⡆⢨⠐⣿⢹⠀⠀ ⠀⠀⠀⠀⠀⠲⠶⠛⢉⠁⢹⡫⠀⠀⠈⠢⣸⢀⣀⡠⠊⠑⠄⣀⠉⠏⠀⠀⡎⠉⠻⡄⣾⡹⢧⡠⠒⠙⢲⡤⢋⣲⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⢇⠀⠀⠀⠀⠀⠀⠐⢾⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⣹⠤⡜⠃⠳⣅⣤⡷⣄⣀⣼⢉⣻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⠀⠀⠀⠀⠀⡎⡇⠀⠀⠀⡄⠀⠀⠈⠃⠀⠀⣿⢻⣧⣦⣴⣤⣼⣷⠀⣭⡞⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⠃⠀⠀⠀⡘⠀⠀⡇⠃⠐⠉⠐⡿⠈⠑⠀⢸⠀⠀⠹⣀⡇⠀⠀⠀⠀⠈⠉⠉⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠢⠤⠄⠄⠄⠓⠒⠊⠀⠓⠤⠤⠤⠓⠤⠀⠤⠊⠀⠀⠀⠀⠉⠓⠒⠶⠖⠶⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠛⠛⠳⢦⣄⡀⢀⣀⣀⣀⣠⣤⣤⣄⣀⣀⡀⠀⢀⣤⣶⣦⣤⣶⠛⠛⢷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠈⠛⢯⣍⠁⠀⠀⠀⠀⠀⠀⠉⠉⣻⣿⡿⣯⣟⡿⣿⣦⠀⠀⠹⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢧⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⡿⣧⣟⣿⣻⣿⣤⣀⡀⢻⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⢿⣽⣿⣿⣿⣟⡿⣿⢿⣿⣿⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⣠⡞⠁⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣽⢯⣿⣿⣿⢷⣯⢿⣽⣻⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⣰⠏⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣟⣾⣻⣿⣿⣾⣯⣷⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⢰⡏⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠁⠈⠉⠛⢿⣿⣽⣷⡿⠁⠀⠀ ⠀⠀⠀⡿⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠛⠉⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⡀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀ ⠘⠒⢿⠷⠶⠤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⢻⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡤⢾⡗⠒⠒⠂ ⠀⠀⢸⡆⠀⠀⠀⠈⠩⣏⡛⠲⠆⠀⠀⠀⠀⠀⠀⢀⣦⣄⠀⠈⣷⣿⡄⠀⠀⠀⠀⠀⠀⣿⠀⢀⣠⡶⠀⠁⠀⣼⠇⠀⠀⠀ ⠀⠀⠈⣧⠀⠀⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡆⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠃⠀⠚⢛⡟⠛⠒⠀⠀ ⠀⠀⠀⢹⣆⣀⣤⡤⠶⠞⠛⠻⣷⣄⠀⠀⠀⠀⢸⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡟⠀⢀⣀⣼⡁⠀⠀⠀⠀ ⠀⢠⡴⠞⠻⣍⠀⠀⠀⠀⠀⠀⣹⣿⣧⡀⠀⠀⠀⢿⣿⡿⠃⠀⠀⠀⠀⠀⢠⣴⡶⣤⠀⠀⠀⠀⠀⠀⢠⣾⠿⠿⠷⣦⡀⠀ ⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⣀⡾⠁⠈⢿⣿⣆⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠸⣿⡿⠿⠀⠀⠀⠀⢀⣰⡿⠀⠀⠀⠀⠈⢿⠀ ⠀⠀⠀⠀⠀⠀⠘⢳⣤⡾⠋⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣾⣿⣿⠇⠀⠀⠀⠀⠀⣨⡧ ⠀⠀⠀⠀⠀⠀⢀⡾⠋⠛⠶⣄⡀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠜⢀⡇ ⠀⠀⠀⠀⠀⠰⠟⠁⠀⠀⠀⠈⠉⣳⡶⢦⣤⣼⣿⣿⣿⣿⣿⣿⣿⣏⣾⣿⣿⣿⣿⣿⢻⣿⣿⣿⡟⠁⠀⠀⠀⢀⠎⠀⣸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⢣⡟⣼⣛⣿⡀⠀⠀⠀⠀⡞⠀⣰⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⢸⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⡼⣓⢾⡱⢮⡽⣷⣄⣀⡀⣘⣥⢾⠇⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⣤⣄⣀⣀⠀⢸⣟⡞⡼⣭⣛⠿⣹⢻⠽⣭⢳⡹⢶⣙⢮⡳⣝⣣⢞⣽⠏⠉⠉⡋⠀⡨⠀⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠉⠉⠛⠻⣿⣜⡳⢧⣝⣫⢗⣫⡝⣮⢳⡝⣣⢏⡾⣱⢧⣋⢾⡿⠀⠀⠠⠁⠀⠃⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣝⡳⣎⡳⣎⢧⡻⡜⣧⡛⣵⢫⢞⡵⢮⣝⣾⠃⠀⠀⡈⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⢀⣤⣶⠿⣎⡵⣫⢵⢫⣞⣱⢻⡴⣛⡼⣹⢞⡼⣳⣾⡇⠀⠀⠀⢐⡀⠈⠀⠀⠨⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⡀⠀⣀⣤⡿⣏⣗⢻⣬⢳⡝⣮⢳⢎⣧⢳⡝⡮⣵⢣⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠐⡄⢀⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠹⣿⡵⢫⣜⡳⣎⠷⣹⠖⣯⢺⣬⢳⣾⣵⣿⣿⣿⠟⠋⣽⠃⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⢣⡏⣷⡎⡟⣥⢻⡜⣷⣿⣿⣿⢹⡏⠁⠀⣴⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣮⣝⣶⣭⢳⡝⣎⣷⣧⣷⢾⡏⠀⠙⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣍⠉⠙⠛⠙⠉⠉⠁⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⠶⠶⠖⠖⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⠀⠀⡀⠀⠀⠀⠀⠄⠠⠤⠀⠀⠀⠀⠀⠁⢡⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠤⢀⡑⠀⠐⠀⠁⠀⢈⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠤⣀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠃⠀⠀⠀⠀⡀⢀⠀⢔⢦⣄⣀⣄⣀⣐⣐⣤⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣔⡋⠁⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⢸⣧⣅⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣧⠀⠀⠀⠀⡇⠀⠀⠀⠰⣾⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠾⠿⠒⠒⢲⠆⢢⡄⠀⠀⠀⣾⣿⠛⠓⠢⢿⡏⠉⠙⠛⠛⠛⠿⠿⢿⣿⣿⣧⣁⠀⠀⣏⡇⠀⠀⠰⡬⢧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡏⢀⣾⣇⠀⠀⠀⡏⡛⠀⠀⠀⠀⠉⣀⡤⠦⣤⡴⠂⠀⠀⠀⢩⡻⣷⡑⡀⢧⡀⠀⠀⠀⠱⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⢁⣾⣿⣿⡆⠀⠀⣷⡇⠀⠀⠀⠀⣴⡋⣴⠒⣦⠀⠀⠀⠀⠀⠀⠀⣿⣷⡀⢻⣷⡀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢐⣧⢾⣿⣿⣿⣿⣧⡀⣧⡃⠀⣤⠀⠺⠯⢧⣌⣽⠟⠀⠀⢤⠄⠀⠘⢀⣿⣿⣷⣾⣿⣿⡦⡀⠀⢘⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠃⢸⣿⣿⣿⣿⣿⣾⣿⣥⣤⣭⣤⣤⣤⣤⣤⣤⣄⣠⣄⣀⡀⠠⠶⢸⣿⣿⣿⣿⣿⣿⣇⢸⠦⣄⣣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠿⠿⢿⡻⣟⡛⠛⠛⠛⠛⠛⠛⢿⠿⠿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣾⡀⠈⠻⡆⠀⠀⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠉⢩⠃⢀⣤⢤⣼⣿⡿⣷⣤⡠⠊⠀⠀⢸⣀⣤⢿⣿⣿⣯⣉⠙⠛⢻⠿⢿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⢸⠀⠸⡇⢸⣐⣸⠛⡌⠿⠀⠀⠀⠀⣰⡿⢡⠟⣟⠨⣳⢨⡗⠀⢸⠀⢰⣿⡏⣿⣦⠈⠉⠀⠀⠀⠈⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⣏⣼⣿⡞⠀⠀⠈⠒⠈⠒⠒⠃⠀⠀⠀⠀⢸⠋⠀⠈⠒⠬⠿⠥⠛⠁⠀⢸⢀⣿⡝⢱⠛⢿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡉⠇⢀⣠⠤⠒⠊⠁⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⢀⠀⣀⡀⠀⠀⠀⢸⣾⣿⣧⠏⠀⠘⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣎⠙⢦⠈⠀⠀⣀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢄⡀⠉⠒⠢⣄⡼⠋⢐⠏⠀⠀⠀⢻⣿⣇⣀⣀⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣼⡀⡴⠊⠁⡀⠀⠀⠀⠀⣴⣤⣤⣤⡄⠀⠀⠀⢀⠈⠳⢄⠀⢠⠷⣴⣻⠀⠀⠀⠀⠀⠻⣿⣿⣿⡟⠻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣿⣿⣾⣿⣿⣿⣦⠀⠀⠀⠈⠻⠿⠛⠁⠀⢀⠀⠀⠑⣄⠀⢱⠏⢰⠉⣇⠀⠀⠀⠀⠀⠀⠙⢿⣿⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡏⠰⠶⣖⣒⣒⣀⣉⣈⡩⠽⠟⠀⠀⠈⢢⠟⡖⢸⣷⣿⣷⣶⣤⣀⡀⠀⠀⠀⠙⠿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢏⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡍⠳⢄⣀⠀⠀⠀⢀⣀⣤⣶⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣹⣿⣿⣿⣿⣿⣿⡿⡻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⡇⢀⣴⡟⠛⣿⣿⠟⣹⣿⣿⡞⠁⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀ ⢀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⢻⠋⠑⢼⡿⡻⣻⣿⣿⠏⠀⠀⢈⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⠈⠻⣸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⢸⢀⡾⡰⢁⣾⡴⠞⠉⠱⡶⠤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣆⣤⠤⠤⠒⠋⠉⠉⠈⠉⠙⠲⢄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣕⠀⠀⠀⠈⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢋⠞⠁⠀⠀⠀⠀⠀⠀⠀⣠⠞⢀⠝⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠤⠤⠤⣤⣴⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⢸⣟⡻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢽⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡡⠃⠀⠀⠀⠀⠀⣀⠤⠒⡪⠔⠊⠁⡠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠐⠤⣀⠀⠀⠀⠀⣠⠂⠁⠀⠀⣰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠈⠫⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠾⠀⠀⠀⠀⣠⠖⠋⠁⡠⣊⠤⣀⡤⠚⢹⡇⢀⠀⠀⣨⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⠈⠑⠄⠀⠚⠁⠀⠀⢀⣼⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢰⢹⡀⠀⠀⠀⠑⢧⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⣼⠁⠀⣤⣖⣽⠳⠚⠉⠀⠀⣸⠁⠈⢳⣶⡏⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡻⠋⠀⠀⠀⠀⠀⠀⠸⡆⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢌⡫⢔⣒⡲⣴⠏⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⢿⠀⢸⡷⠁⠀⠀⠀⠀⠀⣠⠇⣠⣶⢯⣤⣄⣀⡀⠀⠀⠀⠀⠢⢄⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡻⠟⠀⠀⠀⠀⠘⠛⠒⠦⢄⠙⣦⡾⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡌⠀⠀⠀⠀⣠⣴⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢎⣇⡀⠀⣀⡤⠴⠖⠿⠿⠿⢽⠿⣿⣳⡿⣿⣷⣶⣤⣄⠀⠀⠉⠢⠀⣿⣯⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⣀⣀⣀⣤⢤⣤⡖⢦⣖⣦⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠤⠤⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣣⠖⠈⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠻⠿⣿⣿⢽⣶⣦⢄⡀⠀⣿⡿⠀⠀⠀⠀⣠⣴⣟⣿⣛⣁⣤⣶⣶⣿⣿⢿⠿⣼⠿⣷⢞⣿⣿⣽⡿⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠺⢟⣿⣿⣦⢼⣿⡀⣠⣴⣿⣿⣾⣯⡽⢿⣟⣻⣯⠿⠾⠯⠾⠟⠛⠉⠉⠉⠉⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠻⠁⠀⢀⣴⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⡿⡿⣿⡾⣿⣫⠽⠖⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣰⠏⢼⠀⠀⠀⠀⠐⠲⡤⣀⠀⠀⠀⠀⡞⠀⠀⡠⠒⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⢿⣷⣿⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⡇⢰⡇⠀⢾⡀⠀⠀⠀⠀⠀⠈⠪⡱⣄⠀⠀⢿⠀⢺⢠⣵⣶⣦⡄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⣀⣾⣿⣿⣤⠀⠈⢲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠐⠢⣄⠀⠀⠀⡄⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠘⡛⢎⣧⡀⠘⠻⣆⡀⠀⠀⠀⠀⠀⠙⡘⣗⠀⢸⡀⠈⠈⠉⠉⠉⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⢁⣠⣾⠿⣿⡿⠈⢿⣷⣄⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢰⣮⣴⣧⣌⢳⡀⢰⠆⠀⠀⡾ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡻⣽⣻⣦⠀⠀⠀⠀⠀⠀⠈⠒⠉⠛⠂⠀⠙⢝⣦⡀⠀⠀⠀⠀⢡⣼⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣧⣾⠿⠛⠁⣰⣿⠁⠀⠀⠹⢟⣦⡌⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⡈⠙⠉⠉⡜⠀⡼⠂⠀⢰⠃ ⠀⠉⠁⠒⠦⣀⠀⠀⢠⣾⢣⡟⣶⡹⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢿⣦⠀⠀⠀⢸⠏⠀⠀⠀⠙⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠿⠋⠁⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠉⢿⣦⡝⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⣴⠁⠀⢠⡏⠀ ⠀⠀⠀⠀⠀⠈⠲⣄⠈⠓⠿⠼⠧⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠞⡆⠀⠀⡞⠀⠀⠀⠀⠀⠀⡎⠑⠒⡦⠤⠤⠤⢤⣤⣴⣶⡾⠟⠉⠁⠀⠀⠀⠀⠀⠀⠰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠛⢿⣷⣭⡲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠼⠁⠀⢀⡾⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢹⡗⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠘⣤⣴⡾⠿⠟⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠽⣷⣌⡙⠲⠤⣤⣀⣀⠀⠀⣀⣤⠶⡞⠁⠀⠀⠀⡸⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡁⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⢶⣶⣦⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣷⣤⣀⡀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⢰⡻⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⢰⣷⣖⠈⠉⠀⠀⠀⠈⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣖⡿⠿⠿⠿⣟⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⡞⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⣿⣷⠑⣄⠀⠀⠀⠀⠀⠈⠛⣿⣦⡀⠀⠀⠀⠀⢀⣠⣴⣾⠯⠟⠛⠉⠁⠈⠑⠒⠲⠢⠬⠻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣡⣶⣧⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣿⠃⠀⠀⣯⣯⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠻⣿⣖⣄⣴⣾⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢺⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣴⣶⣾⠿⠯⠛⠛⠉⠙⢆⠀⠀⣸⣀⡠⠤⠴⠖⠒⠋⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠃⠀⠀⢰⢿⣽⠀⠀⠘⢦⣀⣀⣀⣀⣀⣤⣤⣤⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡻⡄⠀⠀⠀⣀⣤⢶⣾⣿⣿⠿⠟⠛⠛⠈⠉⠀⢀⣠⠤⠖⠒⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⠟⠁⠀⠀⠀⢨⡟⣿⠀⠀⠀⠈⢻⡛⠛⠛⠋⠉⠁⠉⠙⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⣷⡤⣶⣛⡿⠛⠋⠉⠀⠀⠀⠀⣀⣀⣠⢤⡒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠋⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠱⣀⠀⠀⠀⠀⠀⠀⠈⢻⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⢿⣏⣉⠀⠀⠀⠀⠀⣀⣠⠎⠁⠀⠀⣎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⣠⣼⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⣯⣿⠄⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠙⢾⣗⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⡻⠟⠉⠉⠻⠾⣵⣦⡤⠊⣹⣿⠏⠀⠀⠀⠠⣟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⣠⣾⣳⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠹⡝⢦⡀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣦⣆⣤⣤⣖⡶⣶⣷⡯⠿⠒⠋⠁⠀⠀⠀⢀⡤⠖⠋⠁⠀⣼⣿⠟⠀⠀⠀⠀⣼⡽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⣰⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿⣿⣹⠿⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣰⠎⠁⠀⠀⠀⠀⢰⣿⡏⠀⠀⠀⠀⠀⣹⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠢⣀⢀⣤⣲⣾⣻⠿⠿⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣧⣿⠀⠀⠀⠀⠀⠘⡇⠀⢀⡟⠀⠁⣀⡴⠛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠈⣯⣽⣿⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣇⠀⠀⠀⠀⢰⡃⠀⠀⣠⣴⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⡆⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣽⡀⠀⠀⠀⠀⠀⠀⢸⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⡟⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣽⣢⡄⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠱⣄⠑⣄⠈⠤⠑⢠⠁⡌⠰⢀⠂⡄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⢷⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣦⣿⠿⠛⠉⠁⠻⣿⡳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⣷⡀⠀⠀⠀⠀⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⡌⠳⡄⢩⠀⠲⢠⠃⡌⠐⢤⠁⠊⠐⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠻⡞⣦⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⢷⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢾⡟⡆⠄⠒⠊⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠳⣬⣊⣜⣂⠎⠴⡡⠓⡤⢘⠠⠃⡄⢂⠠⠀⠀⠀⠀⠀⠀⠀⢀⣟⡿⡀⠉⠉⠻⠆⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣾⣗⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠁⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⣿⣭⣒⡅⡓⠌⢆⢃⠖⢠⠁⠄⠂⠀⠀⠀⠀⣠⣔⡫⠼⠷⠛⠋⠓⠦⣄⠀⢰⠀⠀⣀⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣗⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠶⠤⠤⠥⠄⠴⠶⠖⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⢦⡸⣆⣼⣿⠋⠁⡀⠄⢂⡐⠤⠈⠔⡂⠔⠠⠒⠠⠈⢀⠀⠀⠀⠀⠈⠫⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠁⠀⠀⠀⠀⠀⠀⠀⠈⡎⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣟⠀⣀⠐⠤⠉⡄⡰⢈⡅⢎⠰⢌⡡⠌⠡⠌⠠⠀⠂⢀⠀⠀⠀⠈⠙⣯⣦⡀⠀⠀⠀⠀⠀⢀⡠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⢣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢈⠑⠦⣑⢢⡑⢆⠜⢢⡉⢦⢐⡡⠎⢄⠃⠌⡀⠄⠀⠀⠀⠀⠀⠈⠻⣿⡦⣀⡠⠤⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠬⣑⠪⢌⣎⡡⠜⡰⢊⠔⡩⢄⠃⢌⡐⠀⡁⠀⠀⠀⠀⠀⢀⡬⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠦⠤⠭⣁⣉⣌⣡⣈⣈⣀⣄⣁⣀⡤⠦⠴⢒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀

⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⣸⣿⣤⣤⣾⣏⣀⣰⣿⠁⠀⣀⡀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠤⠤⠀⠀⠀⣄⣤⡤⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠯⣍⡙⢛⣿⡿⠟⠁⢠⡄⠀⠀⠀⠀⠀⠠⡄ ⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣾⣿⡶⠆⠀⠸⠿⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠶⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⠃⠻⣏⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡞⠁⠀⠀⠀⡴⠀⠀⠀⢺⣿⣿⡿⠂⠀⠀⢴⡶⠗⠀⠀⠈⠙⠻⠃⠀⠙⣆⠈⢷⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⡞⠀⠀⠀⠀⣼⠁⠀⠀⠀⠘⠛⠫⠀⠀⣀⣠⣤⡤⡤⠤⢤⠤⠤⣤⣀⡀⠀⢹⡆⠈⢿⡁⠀⠀⠀⠀⠀⠀ ⡼⠁⠀⠀⠀⠀⡟⠀⠀⠀⠀⣀⣤⠖⠛⢉⣿⡇⠀⠀⠀⡀⠤⣆⠀⠀⠘⡿⢦⡀⣿⡄⠀⠻⡄⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⠀⢠⡇⠀⠀⠀⢀⣿⢇⣀⡴⠋⢿⣷⡇⠀⠀⣿⣼⣿⣦⡐⣶⣿⠀⠳⣿⣿⡀⠀⠹⣆⠀⠀⠀⠀ ⠀⠄⠀⠀⠀⢸⣇⠀⠀⠀⢸⣿⣿⠯⣤⣀⢸⣿⣷⣀⣬⣿⣿⣙⣧⣿⣿⡇⠀⠀⣿⣿⣿⡄⠀⠸⡇⠀⠀⠀ ⣼⣶⣿⡆⢠⣿⣿⠀⠀⠸⣼⣯⡉⠛⠿⢿⣿⠿⡟⣿⣿⣿⣿⠿⠿⣿⣿⡇⠐⠀⢿⠸⢿⣿⣶⣴⣿⠀⠀⠀ ⣿⣿⡿⣯⣿⣿⡇⠀⠀⠘⢻⣿⣿⣷⣶⣿⣥⣷⣿⡿⠿⢷⣶⣶⣿⣿⣿⡇⠀⠀⢸⠳⢤⣝⣿⣿⣿⠀⠀⠀ ⣛⣫⣶⣿⣿⣿⡇⠀⠀⠀⢸⣧⡯⠙⡝⠙⠃⠈⠿⠃⠉⣌⠋⠛⢻⣿⣿⣿⠀⠀⢸⠀⠀⠀⠈⠁⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣷⣌⣀⣁⣀⣀⣁⣈⣀⣀⡀⣀⢰⣌⣿⣿⣿⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⢿⣿⣿⣿⣿⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣁⣤⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣷⡶⠀⠀⠀⠀⠀ ⢀⣠⣴⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⠟⠀⠀⠀⠀⠀⠀ ⠈⠻⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⣧⣤⣽⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⢸⣷⡄⠀⠀⠀⠀⠀⠀⢀ ⣿⣿⣿⣿⣿⣿⡀⠀⢤⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣄⢸⡇⠀⠀⠀⠀⠀⣠⣴⣾ ⣽⣿⣿⣿⣿⣿⣷⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣾⣿⣿⣾⣿⣦⣤⣤⣴⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⠀⠓⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠊⡄⠀⡆⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠧⡲⠀⠀⠀⠀⠈⢆⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠎⠀⠀⠀⢠⠬⠀⠀⠀⠀⠀⠀⠈⡔⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⡀⠀⡘⠀⠀⠀⠀⡘⢅⠀⠀⠀⠀⠀⠀⠀⢡⣈⠸⢀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢡⢄⠃⠀⠀⠀⡐⠁⢸⠀⠀⠀⠀⠀⠀⠀⡘⠀⢁⡋⣝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢻⠀⠀⠀⡰⠀⠀⠀⡆⠀⠀⠀⠀⢀⠔⠁⠀⠘⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⡇⠀⠀⠱⡀⡰⠁⠀⠀⠀⢃⠀⠀⢀⠔⠁⠀⠀⠀⢰⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠕⠰⡇⠀⠀⠀⠈⠂⡆⠀⠀⠀⠈⢆⠔⠁⠀⠀⠀⠀⠀⡆⠀⠀⢐⢔⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠰⡀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⢢⠀⠀⠀⠀⠀⡈⢄⠤⠂⠁⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠱⡀⠀⠀⠀⢸⠀⠀⢀⡀⢀⡀⠀⠀⠀⠀⢀⠇⠁⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠱⡀⠀⡠⠚⢄⠊⠁⠀⠒⠈⠒⠊⠉⠂⡘⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢅⠞⠡⡀⠀⠀⠐⠝⠀⢠⠃⠀⣀⠤⠒⢄⢄⡄⠀⡄⠀⢱⠀⠀⢀⠆⠓⢨⠝⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠈⠢⠀⣨⠀⠀⢜⡀⡜⠀⠀⠀⠀⢀⠃⠠⠂⠀⢺⣀⠔⠁⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⡰⣿⢣⠷⢶⢃⡁⠀⠀⠀⠀⠮⢊⣉⣀⡒⢹⣿⠀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠿⣻⣦⣵⣼⣿⣶⣄⡀⠀⣸⣔⣿⣿⣿⣯⣿⢷⢌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡈⠉⢛⣾⣮⠙⠉⠉⣿⣾⡿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠛⣷⣄⠘⠿⢿⣦⣠⣼⠟⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠤⡄⣶⠿⠋⠻⠃⠀⣾⠛⢿⣶⣶⠷⢻⣿⠀⠘⠟⠛⠿⣦⡤⡀⢄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡠⠤⠐⠒⠀⠈⠉⠐⠁⠀⡇⠁⠀⠀⠀⠀⠀⣻⣆⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠇⡄⠀⠉⡁⠑⠂⠤⠄⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡄⣤⣤⣿⣿⣼⣿⣿⣥⣀⣀⣼⡯⣤⣤⢤⡤⢤⣀⡸⠀⡆⠀⢀⠃⠀⠀⠀⡄⠀⠀⠀⠀ ⠀⠀⠄⠸⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠇⠙⠤⡀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠉⠉⠈⠉⠉⡑⠀⠰⠀⠀⡜⠀⠀⠀⠀⡗⢄⠀⠀⠀ ⢀⠎⠀⠀⡆⠀⠀⠀⠀⠀⠀⠈⠀⠀⢰⠀⠀⠈⠒⠠⠄⢀⣀⣀⣀⣀⢀⣀⡀⠤⠀⠂⠁⠀⠀⠆⠀⠰⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀ ⡘⢄⡀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠃⠀⠀⠀⠀⢀⠀⠀⠀⣁⠀ ⢼⡔⠨⢔⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⢸⣒⣈⠥⢺⡄

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⣿⢏⡼⠀⢀⣾⢃⣼⠏⢠⡾⠃⣠⠏⠀⠁⣀⠀⡁⠀⠀⣠⡈⠉⡉⠉⢻⡄⠀⠀⠈⠈⢄⠐⣦ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣯⣾⠃⣼⢁⢠⡿⣡⣾⠃⣴⣿⠁⣠⡟⠀⠄⠡⢀⠈⠀⣠⣱⣿⠇⠡⠄⠀⠀⢿⡆⠈⠄⡁⠈⣳⣽ ⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣯⣿⠇⣼⡇⠀⣿⢓⣿⠧⣼⣻⠇⢠⣿⠁⠀⠌⠰⠀⢀⣴⣿⡟⣹⠀⠐⡌⠄⠸⡌⣿⠀⠀⠄⠄⢹⣿ ⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣟⣟⢨⣿⠀⣼⣏⣾⡟⣰⣟⣿⢣⣿⡟⠀⠈⢀⢀⣄⣾⣿⡟⣇⣿⣀⡐⣈⡀⠐⣿⢹⡇⠀⠁⠂⢸⣿ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣹⡇⣯⣿⠀⣿⣿⣿⣿⣿⣼⣧⡟⣽⡃⠀⢈⠈⣭⣿⡿⠃⠉⣿⣿⡍⢉⡏⠙⠻⣿⣼⡷⣬⣶⢷⣿⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣸⡗⣯⣿⢘⣿⢼⣿⣿⣿⣿⣿⢠⣿⠀⠀⣠⡾⣻⣟⣡⣄⡀⣽⡏⣧⢸⡇⠂⠱⢺⣿⣗⡻⣽⣾⣿⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡿⣷⣹⣿⡞⡿⣸⣿⣿⣿⣿⡏⢸⡿⠀⣰⡿⢣⡿⢻⣿⣿⣷⣿⣥⣿⣾⢡⠀⠐⣾⣿⡝⣧⣿⣿⢹⡀ ⠀⠀⠀⠀⢀⣠⣄⣀⣀⣀⣠⣸⣷⣿⣿⣿⢿⣇⠹⣟⡹⠿⡟⠀⠀⣿⣼⠏⢠⠋⠀⣿⣿⣿⣿⣿⣿⠿⣿⡇⠀⢨⣿⣿⡽⣟⡿⠁⢸⠅ ⠀⠀⠀⢰⣿⡟⠿⠿⢯⡿⣽⣿⣻⣿⣯⣿⣌⣷⠀⠉⠛⠁⠀⠀⢨⡿⠁⠀⠀⠀⠀⣿⠟⣿⢿⣿⠟⣰⡟⠀⠠⣼⣿⢯⣽⠟⣠⠀⢸⡇ ⠀⠀⢠⣿⣻⠃⢠⣄⣤⣔⣃⡀⠉⠉⠙⠛⠻⠾⢧⣤⣤⣤⣤⣀⣈⠀⠀⠀⠀⠀⠀⠙⠿⠶⠞⠁⣰⡿⠁⢀⣽⢻⣿⠟⠁⠀⢹⡄⠐⣿ ⡄⠀⣾⣧⡟⠀⣿⡏⠉⠉⠛⠁⢈⣿⠃⠀⠀⠀⢠⣦⡀⢠⣌⡉⠙⠛⠛⠷⠶⠶⠴⣶⣤⣦⣰⣾⡟⠁⢠⡾⢫⣿⡟⠀⠰⠈⢌⣧⠀⢿ ⡁⠀⣿⣽⠃⠀⠻⣿⣦⡀⠐⡁⢸⣟⠀⠀⠀⠀⢸⣿⡉⢸⡿⠁⠀⠁⠈⣷⡦⣷⣤⣤⣄⣠⡉⠉⠙⠛⣿⡿⣟⣿⣇⠀⠰⢈⠀⢿⡀⢈ ⢶⣴⣿⡟⠀⠀⠀⠀⠛⢿⣦⢀⣿⡟⠶⠶⢶⣦⣿⡇⡘⣿⡇⠀⠀⠀⢀⣿⠁⠀⠉⢹⣿⠛⠛⠋⠀⢠⣿⣗⡣⢿⣿⠀⠐⠠⠀⢸⣷⡀ ⣿⢿⣷⡇⠰⢷⣤⣤⣤⣿⢿⣸⣿⠁⠀⠀⠀⢠⣿⢱⢱⣿⠁⠀⠀⠀⣸⣿⠀⠈⡄⣿⡟⠀⠀⠀⠀⣸⣿⣶⢹⣻⣿⡄⠀⡁⠂⠈⣿⣷ ⣿⠉⢥⡂⠀⠀⠈⠉⠉⠀⠀⠛⠛⠀⠀⠀⠀⢼⣿⠘⠘⣿⣄⠀⠀⢢⣿⡇⠀⠐⢆⣿⠃⠀⠀⠀⢀⣿⣗⣻⣧⢚⣿⣧⠀⠐⠠⠄⢻⣿ ⣿⡀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠛⠋⠀⠀⠀⣸⣿⠀⠀⠐⡏⠹⣿⣧⢏⣷⢫⡜⣿⡆⠀⠃⠌⠘⣟ ⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⠆⠀⠀⠀⣀⣀⠀⣁⠀⠀⠂⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠸⣿⠉⠁⢻⣎⢿⡧⡽⣹⣿⡄⠉⠄⠈⢷ ⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⢀⣿⡏⠂⣿⡿⠿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡶⠛⠙⣿⡞⣿⡱⣧⣛⣿⡄⠀⠈⠈ ⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⢸⣿⠃⢰⣿⠃⢀⡝⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠄⣿⣳⢻⣧⡿⡹⡽⣷⡄⠀⠠ ⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⣸⡟⠀⣼⣯⣤⣼⣽⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⠘⠀⣿⣧⢻⡷⣿⡱⢏⡿⣿⣄⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⣀⣀⣠⣿⠃⢡⣿⡇⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢿⣄⣁⣿⣏⣯⣿⣿⠱⣏⣿⢿⣿⣦ ⣶⣶⢦⡤⣤⣄⣀⣀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣬⠿⡻⣍⠯⣹⣿⢇⡿⡜⣿⡇⣿⣿ ⠋⠙⠛⠛⢲⠾⢯⣽⣟⣟⣶⡶⢦⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣍⡲⣍⠳⢎⡳⣽⡟⢮⡳⡝⣿⡇⢸⣿ ⠀⠀⠀⢀⣀⢀⡉⣴⣮⣉⣉⣹⣟⣿⡯⣭⣿⣻⣯⡿⣟⢳⡶⢤⡤⣤⣀⣀⣀⠀⠀⠀⠀⢰⣟⣛⣛⢳⡹⣎⣶⣿⣹⢣⣛⠵⣻⠆⠸⣿ in the most disrespectful way possible

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⢿⣿⣿⡟⣿⣿⣿⣿⣍⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⣠⣿⣿⣿⣿⣿⣯⣼⠿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠶⠾⢿⣿⣷⠘⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢀⣠⣿⣿⣿⣿⣿⣿⠟⠁⠀⣿⠋⠻⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠁⠀⠀⠀⢿⣷⠀⢸⣿⣿⣿⣿⣧⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣴⣿⣿⣿⡿⣿⣿⣥⡶⠟⠛⠛⠛⠷⣾⣿⡧⠀⠀⠀⠀⠀⠀⠀⠸⠏⠀⣠⣶⠞⠛⠛⠻⢿⣶⣄⣿⣿⣿⣿⣿⣷⣄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⣼⣿⣿⣿⣿⣿⡇⣹⣿⠁⠀⠀⠀⠀⠀⠀⠈⢻⣦⠘⣷⡀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠈⠉⠻⣿⡿⣿⣿⣿⣿⡿⠶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣏⣽⣷⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⠀⠀⠀⠀⢻⡆⠘⣿⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⢀⣀⡀⠀⠀⠀⢹⡧⠿⣿⣽⣿⡿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⣿⣿⡇⠀⠀⠀⠈⣿⠀⢻⡆⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⢸⡗⠀⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿ ⠀⠀⣈⣽⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⡇⠿⣿⡀⠀⠀⠀⠙⠛⠃⠀⠀⠀⢸⡏⠀⣸⠇⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠉⠀⠀⠀⠀⢸⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣯⣥⣄⣀⡀⠈⠉ ⣷⣶⣿⡁⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⡇⠀⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠁⢀⣿⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⣿⣽⣿⣿⠀⠀⠀⠀⠀⠈⠉⢹⡇⠀⠀ ⣿⣿⣿⣧⡀⣤⣤⣄⣀⡀⠀⣿⡹⣿⣧⠀⠘⣿⣷⣦⣄⣀⣀⣠⣴⠾⠟⠁⣠⣾⠃⠀⠀⠀⠀⠀⠀⠈⠻⠶⣦⣤⣤⣤⣴⣾⣿⡿⠀⠀⣿⣽⣿⣿⣀⣀⣀⣀⠀⠀⢀⣿⠃⠀⠀ ⣿⣿⣿⣿⣷⣤⣄⢻⣿⣿⣿⣿⣷⣝⣿⠀⠀⠈⠉⠀⠈⠉⠉⠁⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⢦⣤⠾⣿⡟⠉⠀⠀⢰⣿⣿⠟⠉⢿⣿⣿⠉⠀⢠⣾⠇⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠀⢻⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣶⣤⠶⢿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢠⣿⠋⠀⠀⠀⠘⣿⠇⠀⣠⡿⠃⠀⠀⠀⢠ ⣿⣿⣿⣿⣿⣿⣿⣆⠀⢻⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⣼⡟⢀⣾⠟⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠻⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣀⣤⣤⣤⣀⣀⣀⣀⣀⡀⢀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⢀⣴⣿⣁⣀⡀⠀⠀⣴⡟⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠙⢿⣿⣿⣿⣿⣿⣿⣧⡄⢸⣿⣿⣧⣄⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⣩⣼⣿⣿⡇⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣿⣷⣤⣤⣄⣀⡀⢀⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢛⣠⣿⣷⠿⠿⠿⠿⠿⣿⣿⣿⡿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣯⡁⠀⠀⠀⠹⣿⣿⣿⣶⣦⣤⣭⣉⣉⣉⣩⣭⣤⣴⣶⣾⣿⡿⠏⠁⠀⠀⣴⣦⡾⢿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠉⠙⠻⣶⣿⣷⣄⣤⠀⠀⠈⢿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⡿⠋⣁⣀⣠⣤⣼⣿⠿⠟⠛⠋⠉⠙⠛⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⣀⣀⣀⣉⣛⣛⣻⣿⣤⣼⣿⣿⣤⣼⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛⣛⣋⣉⣉⣀⣀⣀⣀⣀⣀⣀⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⡀⠀⠀⠀⣟⣯⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⣼⠙⣿⣷⣶⣤⣄⢰⣷⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠏⠀⠀⠹⣷⠀⠀⢀⠀⠀⠀⠀⣀⠀⠀⣠⣶⡿⠁⢀⣴⠋⠀⠀⠀⠀⣱⡇⢰⢳⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠜⠁⠀⠀⠀⢽⠋⠀⠀⠀⠀⠀⠀⠀⢠⠇⢰⣇⡞⢨⣿⣎⡻⢍⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⢻⡄⠀⠀⢠⣶⡶⠟⣷⣶⠿⠷⢮⡴⠖⠋⣁⡀⠤⠤⠒⠒⢿⣿⠁⣼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⣾⠀⣾⣟⣰⡿⢁⠝⢭⡒⢾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⣤⣌⣷⠀⢤⡾⠋⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠀⢠⡟⢀⣿⣿⠏⡠⢃⡴⠂⠈⣾⣋⡏⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⢀⡞⣉⣯⢻⣷⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⢸⡇⢸⣿⣏⠜⡡⠊⠀⠀⣼⣿⠿⠁⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢿⠁⢀⣴⣿⢾⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠐⠒⠤⣀⠀⠀⠀⠀⠀⠀⠈⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣯⠀⠀⠀⠀⠀⠸⠇⣾⣯⢋⠔⠁⡐⢀⣾⡿⠁⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣏⣎⣴⣿⢿⣿⢾⢋⣿⡿⠁⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⠖⠛⠛⢷⣄⠀⠀⠀⠘⣿⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣤⠄⠀⠀⠀⠀⢠⡿⣡⠋⢠⣎⣠⣾⠟⠁⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⢋⡝⣡⣾⣿⣣⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠉⠁⠀⠉⠉⠉⠉⠉⠙⣻⣦⡄⠀⠹⣿⢶ ⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⢠⠴⢶⡀⠀⠈⣯⠀⢻⠀⠀⢀⣿⣷⠏⢠⢏⣾⡿⠉⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣟⣠⡿⢻⢟⣏⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⡠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠻⣷⣄⠀⢻⣄ ⠀⠀⠀⠀⠀⠀⣁⠇⠀⠀⠀⠀⠀⠀⠀⢠⣏⠀⢈⡇⠀⠀⢹⡂⢸⠃⢠⣾⣿⡏⡰⢣⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣿⢸⡿⣟⣠⠃⢮⣿⣿⣿⠇⠀⠐⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣧⣼⣿ ⠀⠀⠀⠀⠀⣰⡽⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣠⠿⠁⠀⠀⢸⡇⠀⢠⣿⢿⣿⠏⢠⣿⣿⠁⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⢀⠄⠀⠉⠈⠁⠘⣿⣾⣿⣟⣿⡟⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠊⠈⠉⠚⠻⣿⡙⢿ ⠀⠀⠀⠀⢠⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠘⣿⡄⠟⡏⣰⠋⢀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠸⣿⡟⢹⣿⠁⠀⠀⢠⡞⠣⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠉⠑⠺ ⠀⠀⠀⢠⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣇⡼⢠⠇⠀⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣷⣿⠇⠀⠀⠀⠈⣇⠂⠱⡇⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠏⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣧⠟⠀⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠶⠿⣿⣿⡿⡟⠀⠀⠀⠀⠀⠈⢆⢹⣧⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠏⠀⢸⢹⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⢠⠂⠀⣀⣠⡴⢶⠛⠋⠉⠀⠀⠲⡿⣻⠁⠀⠀⠀⠀⠀⠀⠀⠈⢺⡇⡆⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠃⠀⠀⡏⢸⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⣸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢀⣴⣠⣴⠞⠋⠀⠀⠀⠱⡀⠀⠀⠀⠀⢀⡏⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⡴⠋⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⢀⠀⢰⠃⡜⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣴⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠿⠛⠉⠀⠀⠀⣀⠀⠀⠀⠱⡀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⠁⠀⡜⠀⡇⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣽⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⠾⠋⠁⠀⠀⠀⠀⢀⡌⠁⠀⢆⠀⠀⡇⠀⠀⢠⡇⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡛⠀⠀⠀⠨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠇⠀⠁⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣇⡨⢉⠛⠓⠶⠦⣤⣄⣀⣀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠚⣋⠝⠋⠀⠀⠀⠀⠀⠀⡠⠴⠛⠀⠀⠀⠘⡄⠀⠃⠀⠀⡾⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⢠⠊⡰⠀⠀⠀⢐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⠉⠛⣿⣷⣖⠠⣀⣠⠈⠉⠛⠛⠾⣿⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⢶⣿⡥⠒⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠸⡐⠐⠀⢰⡇⠀⠀⠀⠃⠀⠀⠀⠀⣀⣴⣷⢾⠇⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ Smegsyyyy ☆🌟✮⋆˙✧₊⁺✩₊˚.⋆☾⋆⁺₊✧ Hope its not to inapropiate ( ∩´͈ ᐜ `͈∩)