Princess Girl Joy Full Emojis & Text

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢰⣿⣹⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠰⣿⣿⡷⠀⠀⠀⣿⡏⠁⠀⠀⠀⣿⣻⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠀⣠⣤⡄⠀⠀⠈⣿⣆⠀⠀⢠⣿⣧⠀⠀⢀⣴⡿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣾⣯⡀⠀⠀⣿⣿⣿⣶⣿⠿⣿⣿⣾⣿⣿⡁⠀⠀⠀⢠⣶⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣾⣿⣏⣿⣿⣷⣤⣾⣿⣯⣻⣿⣷⣄⣀⣤⣾⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⠿⡟⣛⣿⣿⣿⣿⣿⣟⡿⠿⢿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣴⣾⠿⢟⣿⣿⣿⣿⣿⣻⡛⠿⣶⣬⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⠟⠻⠟⠻⠿⠿⠟⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣾⠟⣉⣛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⠀ ⠀⣠⣿⡿⢡⣿⠏⠁⢹⣦⠀⠰⣄⠀⠀⠀⠀⠀⣠⣶⡟⠉⣽⡆⠀⢀⣀⠀⠀⠀⠀⠀⠀⢠⠞⣹⣿⠀⠀⠀⠀ ⢠⣿⣿⠃⣿⣿⠀⠀⢸⣿⡆⢠⣿⡇⠀⣿⡇⣰⣿⢋⣠⣾⠿⣡⣾⠟⢩⣷⢀⠴⣿⡇⣰⠋⣰⣿⠏⠀⠀⠀⠀ ⢸⣿⡇⠀⠿⣿⠀⠀⣸⣿⠃⣿⡿⢀⣾⣿⠁⣿⡟⠛⠉⠀⢰⣿⠿⠾⢛⡵⢋⣾⣿⡿⠁⣰⣿⡟⠀⣦⡀⠀⠀ ⢻⣿⡇⠀⠀⠀⠀⢰⣿⡿⠀⣿⣧⠎⣸⣯⠀⣿⣇⠀⢀⡴⠻⣿⣄⡴⠛⠀⢸⣿⡟⠁⣠⣿⡟⠀⠀⣿⣇⠀⠀ ⠀⠻⣷⡀⠀⠀⣠⣿⡟⠁⠀⠀⠀⠀⠸⣿⣄⠙⠛⠛⢉⠄⢀⣤⣴⣶⠶⠶⣤⣙⠃⠀⣿⡟⠁⠀⢰⣿⠇⠀⠀ ⠀⠀⠉⢛⣶⣶⣿⣥⣤⣤⣀⣀⣀⡀⠀⠈⠛⠟⠓⠋⠁⠀⢿⣏⣁⣀⠴⠀⢀⣽⠇⢸⣿⠁⠀⣠⣿⠋⠀⠀⠀ ⠀⠚⠋⠁⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⢿⣿⣿⣶⣶⣶⣤⣤⣤⣤⣤⣶⣶⣾⣿⠟⠀⠀⠻⠧⠞⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠻⠿⠿⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠘⠀⠀⠒⠀⠀⠀⠐⠃⠀⠀⠈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠴⣖⠒⠒⢒⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡴⢦⠀⡜⡱⢈⣵⡞⠁⢰⠀⢠⣦⣤⠀⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⢡⠇⡸⠀⣧⡴⠛⣇⠙⢦⣼⣀⣸⡁⠉⠀⠸⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⣲⣯⠃⣧⡖⢉⣤⣶⣦⣤⣤⣠⣤⡈⢉⠑⠰⢦⡤⠛⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣩⡟⣤⣞⡿⠻⣿⣿⣿⣿⣿⣽⣽⣿⣴⣄⡠⣤⠝⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠫⡟⣉⢿⡿⢿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣽⠿⡿⠛⠛⠛⠀⠀⠈⠉⠉⠙⠻⣷⡌⣿⣿⣿⣦⣹⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡛⠿⢯⣿⣛⠿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣎⣿⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠘⢿⣗⠀⢠⣠⣟⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣿⣿⡤⠖⠶⣦⣄⡀⠀⠰⢚⣻⣭⣉⠉⠁⠘⣿⣿⣿⣿⣿⣾⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡆⠰⣾⣿⠶⠗⠀⠀⠛⠿⠟⠋⠀⠀⠀⠘⡟⢯⣿⡿⠉⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣟⣿⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣾⡏⠁⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠉⠓⠁⠀⠀⠀⠀⠀⠀⠀⢀⡿⢹⣿⣶⠟⠁⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣆⠀⠠⢶⠆⠀⠀⠀⠂⠀⠀⠀⢠⣾⣿⠈⠛⠁⠀⠀⠀⠀⡀⠸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣦⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⣿⣿⣆⠀⠀⠀⢀⡀⠀⣷⡄⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⣾⣿⣷⠀⡀⠀⠀⢀⣠⠖⠁⠀⠀⢻⣿⣿⡄⣶⣦⠀⢿⣦⣸⡝⠾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠚⠉⠀⢀⠇⢀⣠⣴⣶⣿⣿⠋⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣷⣼⡆⠙⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠚⢉⡾⠟⠉⠁⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⣠⠴⠊⠁⠀⠀⠀⠀⠀⠹⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠉⠻⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣠⠔⠁⠀⠉⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⢠⣿⣷⠀⠀⠀⠀⠉⠙⠒⠲⠶⣶⣶⠦⡀⠀⠀⠀ ⠀⠀⠀⠀⢰⠃⠀⠀⠐⠲⠤⣄⡈⠳⢄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣽⠦⡄⠀⣀⡀⣴⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠹⠀⠀⠀ ⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠈⠑⠂⠙⢢⣀⠀⠀⠀⠀⠀⠀⠙⢶⢮⣹⡟⢛⢢⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⠛⠷⢦⣀⠀⠀⠀⠀⠀⠉⠣⣷⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣒⣤⣀⣀⣀⣀⣙⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣊⣁⣀⣀⣀⣀⣀⣀⣀⠀⠀ ⢀⠀⢈⠋⡛⠛⠛⠛⣛⢛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⣉⢉⢉⣉⣉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⣉⣙⣛⣛⣛⠛⠛⠛⠛⠃

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣀⡀⠀⠀⢀⣀⡤⠶⣶⠶⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠛⠉⢀⡤⠒⠋⠉⠉⠓⠺⢭⣁⠀⠀⠈⢻⠒⢍⡛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣴⡶⡟⠁⠀⡰⠋⠀⠀⠀⢀⣀⣠⡤⣤⣀⡉⠉⠒⠚⠁⠀⢱⡄⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⣻⠏⢰⠃⠀⡼⠁⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠉⠳⢶⡒⠲⣶⣚⡡⡤⣼⡆⢶⡦⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⢃⡏⡇⠀⣿⠀⢰⠁⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠉⠉⠛⠲⢷⡄⠙⣆⡌⠙⣶⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠃⢸⣿⡇⠀⡇⠀⡞⠀⡰⠃⠀⣀⠤⠚⠋⠉⠉⠉⠙⠛⠢⢤⣀⠀⠈⠛⠦⣀⠀⠀⠈⢳⣽⠇⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠸⡟⣇⠀⠀⢠⡇⣠⠃⢠⠞⠁⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠉⠑⠲⣤⡀⠉⠛⢍⡉⠉⠁⠀⠀⢀⡟⣆⠀⠀⠀⠀⠀⠀ ⠀⢻⡄⠀⠻⡘⡆⠀⠘⣧⠋⡰⠃⣠⠞⠉⠀⠀⠉⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠶⠭⠥⠤⠀⠀⠈⢀⡿⢦⣄⠀⠀⠀⠀ ⠀⢠⠿⣆⠀⠹⣜⡄⠀⠻⡴⢡⠜⠁⢀⣀⣀⠀⠀⠈⢷⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢃⠀⢹⠀⠀⠀⠀ ⣰⡏⣀⡠⢹⣦⣈⠻⣄⠀⠠⢃⣠⠴⠚⠉⠉⠱⣄⠀⢸⡈⠉⠲⢯⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠵⠋⢠⡿⠀⠀⠀⠀ ⣿⠀⠀⢀⣤⡤⠭⠿⠶⠬⠞⠋⠀⠀⠀⠀⠀⠀⠈⢆⠀⣷⠀⠀⠀⠘⠣⡉⠛⠒⠒⠂⠀⠒⠒⠒⠛⠉⠀⠀⠀⢻⠇⠀⠀⠀⠀ ⠙⢧⡀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠘⣆⡀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀ ⠀⠀⢩⡟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣔⡾⠷⣽⣟⣛⡿⠆⡀⠈⠳⣌⡛⠂⠀⠀⠀⠀⠀⠀⣠⡾⢧⡀⠀⠀⠀⠀ ⠀⠀⠘⣇⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⢒⡽⠚⠁⣠⣤⣬⣭⣭⣦⣶⡟⠀⠀⠘⢟⠓⠲⢶⡶⢶⡒⠛⠁⠀⠀⢳⠀⠀⠀⠀ ⠀⠀⠀⠈⠹⣷⣖⣒⣶⣄⠀⠀⠀⠀⠉⠉⠁⠀⠀⢘⣵⢿⣿⣿⡯⢉⡏⠀⠀⠀⠀⢸⠀⢠⡸⠀⡈⣇⠀⠀⠀⠀⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣷⡀⢀⣤⠌⠓⣄⠀⠀⠀⠀⠀⠀⠀⡏⠸⣜⢿⢟⣴⡿⠁⠀⠀⠀⠀⠀⣇⣮⡄⣸⢡⡟⣄⠀⢸⣾⢡⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣿⠟⠿⣷⣮⡳⡀⠀⠀⠀⠀⠀⣀⣀⣨⠽⠟⠋⠀⠀⠀⠀⠀⠀⢰⠟⠘⠗⠁⡾⠀⠈⢦⡈⠻⠚⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⢆⡸⢜⣻⡿⡿⡀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡤⠤⠤⠞⠁⠀⠀⠀⠙⢦⣜⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⠀⠉⠉⠉⠉⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠘⢦⣀⠀⠀⠀⠙⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⢀⠀⠀⠀⣀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠈⠑⠦⣷⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⢏⡀⠀⡤⠈⠁⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⣠⢾⠁⠀⠀⢠⡀⠀⠀⠀⠀⠀⣽⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⣄⣈⣁⣠⡶⠖⢉⡞⠀⠀⠀⠀⠀⢀⣠⠞⠁⠘⣇⣀⠀⠀⣧⠀⠀⠀⠀⢰⠁⢰⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⡀⠘⠢⠤⠤⠖⠋⠀⠀⠀⠀⢀⡴⢛⣡⡤⠶⠛⠋⠁⠀⠀⢹⡄⠀⠀⢰⡇⢠⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢄⠀⠀⠀⠀⠀⠀⣠⠴⠉⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⣸⣧⡀⢀⣼⡇⣏⠈⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⠤⠤⠤⠚⢹⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠙⠛⠛⢿⠚⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣼⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠁⢀⣀⣤⣼⣅⣀⡀⠀⠀⠀⠀⢀⡰⠟⠁⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⢠⠞⠉⠀⠀⠀⠀⠉⠉⠛⠳⠶⣾⣍⡀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠶⠶⠾⣅⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠶⢶⡶⠶⠛⢧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠁⠀⠀⠀⠀⠀⠈⠛⠲⠤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠉⠉⠉⠉⠑⠲⣤⠤⢤⣤⡤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⣤⠿⣤⣀⣀⣀⣀⣰⣒⡶⢴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡄⠀⠀ ⠀⠀⠀⣼⠏⠉⠀⠀⠀⠀⠈⠉⠉⠉⣥⣴⣿⣥⣤⣤⣤⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣧⠀⠀ ⠀⠀⢰⡇⠀⠀⠀⠀⢀⣀⣠⣦⣴⠛⢁⣼⠃⠀⠀⠀⠀⠈⠉⠛⠷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠏⠀⢹⡄⠀ ⠀⠀⠈⣇⡤⠖⠛⠉⠉⣹⣿⡟⢻⡀⢸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠯⣷⣰⣤⣀⠀⠀⠀⠀⠀⣠⣴⠾⣹⠀⠀⢸⡇⠀ ⠀⠀⠀⡏⠀⠀⠀⣠⠞⡙⠉⠁⠀⠻⣸⡏⠀⠀⠀⠀⠀⠛⠁⠀⠰⣤⣄⠀⡀⠀⠉⠟⠶⠤⣶⣤⡮⠿⠛⠁⢠⠏⠀⠀⢸⡇⠀ ⠀⠀⠀⣿⢦⣀⣸⠃⠀⢻⣦⡀⠘⠳⣿⠹⢷⣄⣤⣄⠀⠀⠀⠀⠀⠀⠀⠈⠓⠻⠦⣤⡄⢀⢀⠀⣀⣀⣀⠤⡼⠀⣀⡤⢾⡇⠀ ⠀⠀⠀⣿⡳⢿⡏⠀⠀⠙⠟⠁⠀⢄⡿⠀⠀⠉⢻⠛⠳⣶⣤⣤⣀⢀⣄⣠⠆⠀⠀⠈⠁⠈⢈⠀⠁⠁⣅⣼⠗⠚⠉⠀⠸⡇⠀ ⠀⠀⠀⢻⣽⣟⣷⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⢹⣿⣤⣄⣠⣴⣄⣰⣷⠾⠞⠛⢻⣿⠀⠀⠀⠀⠀⢧⠀ ⠀⠀⠀⡜⠀⠉⢹⣄⠀⠀⢠⣶⣶⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠈⠀⠈⢹⣏⡽⠁⣴⠟⠃⠀⡾⠁⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠼⠀⠀⠀⠈⣿⡀⠀⠀⠙⢩⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⡠⠏⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠘⠇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⢸⣿⡷⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⠄⠀⠀⠀⠘⠿⡟⠃⠀⢨⣯⠀⠀⠀⣿⡽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢼⣿⡀⠀⠀⣿⣦⣤⣾⣿⣦⣤⣾⡏⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢿⣶⣾⣿⣿⣿⣧⣼⣿⣿⣿⣧⣄⣠⣼⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠟⣛⣩⣿⣿⣿⣿⣿⣟⡻⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢻⣿⣿⣿⣿⢿⣿⣿⠻⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣴⢒⣒⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀ ⠀⣼⡿⣱⡟⠁⢹⣆⠀⣦⠀⢀⡀⢀⣴⠞⢉⣿⠀⣀⣄⡀⠀⣀⠀⢀⠞⣽⡇⠀⠀ ⣸⣿⠃⣿⡇⠀⢸⣿⣠⣿⠀⣼⡇⣼⡿⠴⠟⢡⣾⣫⡼⣣⢾⣿⡶⠃⣼⡟⢀⠀⠀ ⢿⣿⠀⠈⠁⠀⣾⡇⢸⣏⠜⣿⡃⣿⡅⠀⡠⢿⣇⣠⠞⠁⣿⡟⠁⣼⡿⠁⢸⣧⠀ ⠈⢿⣆⠀⢀⣼⠟⠀⠀⠀⠀⢻⣧⣙⠛⣊⠅⣠⣴⠷⠶⠦⢼⡁⢸⣿⠁⠀⣾⠏⠀ ⠀⣀⠬⠿⠛⠿⠶⠶⢶⣤⣤⣄⣈⣉⣉⡀⠀⠛⠳⣒⣊⣠⣾⠃⢸⣇⣀⡼⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⠿⢿⣿⣿⡿⠿⠟⠁⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠚⠉⠉⠉⠙⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⠉⠀⢀⣀⠤⠤⠤⣄⡀⠀⢈⠦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡜⠁⣠⠴⠊⠁⡀⠔⠀⡩⠉⠉⡶⠮⣄⠈⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⢠⠞⠁⠀⢀⠞⠀⢀⡜⠀⠀⣰⢧⠀⠈⢳⠸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⢃⡏⠀⠀⡠⠁⢀⡴⡾⠁⣠⠞⠁⠀⢧⠀⠈⡇⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⡸⠀⢀⠜⣠⠶⢯⣜⠥⠚⠁⠤⠴⠖⠸⢆⠀⡇⠘⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣣⣃⣤⢾⣩⣴⣶⡌⠀⠀⠀⡄⠀⣤⡶⣦⣄⣵⣴⠀⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠀⢰⣿⡄⢣⢸⣿⡿⡄⠀⢸⠀⢠⢿⣷⣇⠌⡶⣿⢆⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⣏⠀⢸⣇⡇⠀⠈⠉⠉⠀⠀⠘⠀⠈⠈⠁⠁⠀⣯⠏⠀⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⡄⠀⠁⢹⡀⠀⠀⠀⠀⠄⠀⠠⠀⠀⠀⠀⢰⠇⠀⢠⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⡀⠀⠻⣄⠀⠈⠲⣤⣔⡶⠆⠁⢀⡴⢏⢀⡴⠻⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡉⠢⣠⠊⠳⣤⡀⠀⠀⠀⣠⣴⣿⡀⠀⢣⠀⢰⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢳⡄⡏⠀⣰⣟⢿⣓⣒⢿⢿⠙⡇⡷⣄⢸⡠⢯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠈⢧⡴⢻⠀⠱⣹⣿⠿⠁⠀⢿⡇⠈⢫⠀⢈⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢱⣄⠊⢠⠾⡢⢄⢠⡏⡇⡠⢊⡞⠛⢆⠸⣠⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⢻⡀⠑⡋⣇⠉⡶⠻⣗⠛⠶⣏⠸⡀⠈⡎⠁⡗⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠟⠀⠈⡷⢤⡀⡼⠙⢦⣤⣽⡤⡴⠏⢠⠳⡀⡇⡸⠃⠈⢷⠀⠀⠀ ⠀⠀⠀⢀⡟⠀⠀⠀⢳⡀⠙⢹⣄⣾⠛⣾⠁⢻⢂⢸⡀⠸⠋⡇⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⣼⠁⠀⠀⠀⠀⡗⢄⣼⢰⣼⢺⣹⣨⢻⣼⡏⢣⢘⡔⠁⠀⠀⠀⢹⡀⠀ ⠀⠀⢀⡇⠀⠀⠀⠀⠀⠻⣄⠓⣯⣾⢻⡟⡟⣜⣮⠳⡘⡰⠃⠀⠀⠀⠀⠈⡇⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢘⣻⡧⣿⣿⠃⢳⢻⢧⣾⡝⠀⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⡎⠀⠀⠀⠀⠀⠀⢠⡊⠈⣾⢯⡏⠀⠈⣎⣿⠇⠘⡀⠀⠀⠀⠀⠀⠀⠘⡄ ⠀⢠⠇⠀⠀⠀⠀⠀⢀⣿⡇⢠⣯⠎⠀⠀⠀⢸⡏⠀⣰⢧⡀⠀⠀⠀⠀⠀⠀⠇ ⠀⠸⠀⠀⠀⡀⣠⣂⣿⢻⢁⠞⠁⠀⠀⠀⠀⠸⣇⠴⡿⢛⢿⣑⢤⠀⠀⠀⠀⢸ ⠀⣷⢶⣌⠽⡶⠟⣫⠵⠚⠁⠀⠀⠀⠀⠀⠀⠀⠘⠂⠈⠪⢕⡠⢝⣒⠣⣤⠤⣸ ⣜⣒⡂⠭⠔⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠓⠒⠒⠂

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⢤⣀⣯⣠⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡿⠿⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣶⣶⣶⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣤⠤⠤⠤⠤⠤⠤⠌⣿⣿⣿⣿⣿⣿⣿⠥⠤⠤⠤⠤⠤⠤⣤⣄⠀ ⣿⣏⣹⠆⠀⠀⠀⠀⠀⠀⠈⠙⣻⣿⡟⠉⠁⠀⠀⠀⠀⠀⠀⠰⣯⣿⡇ ⠈⠙⠓⠲⣄⠀⠀⠀⢀⣶⣶⣾⣿⣿⣷⣶⣶⡄⠀⠀⠀⠀⣴⠖⠛⠋⠀ ⠀⠀⠀⠀⣯⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⢠⣿⡟⠙⣿⣿⣿⣿⡿⠙⣿⣇⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣧⣠⣴⣿⠏⠀⠀⢸⣿⣿⣿⡀⠀⠈⢿⣶⣤⡀⣇⠀⠀⠀⠀ ⠀⢸⢉⣽⡿⢿⠋⠁⠀⢀⣶⣿⣿⣿⣿⣿⣦⠀⠀⠉⢛⠿⢿⣍⠩⡇⠀ ⠀⢸⣿⣇⠀⢸⠀⠀⠀⣾⣩⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⠀⢀⣿⣷⡇⠀ ⠀⣻⠏⠙⠆⠸⡆⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⠀⠘⠈⢿⡁⠀ ⠀⢹⠀⠀⠀⠀⡧⠤⢤⣿⣿⣿⣿⣿⣿⣿⡿⠠⠤⠤⢼⠀⠀⠀⠐⡇⠀ ⠀⢸⠀⠀⠀⠀⡇⠀⣸⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⡾⠀⠀⠀⠀⡇⠀ ⠀⢸⠀⠀⠀⠀⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡇⠀⠀⠀⠀⡇⠀ ⠀⢸⠀⠀⠀⠀⢧⣾⣿⡿⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⡇⠀⠀⠀⠀⡇⠀ ⠀⢸⠀⠀⠀⣠⣾⣿⡟⣠⣾⣿⣿⣿⣿⣿⣧⡀⠀⠀⡇⠀⠀⠀⠀⡇⠀ ⠀⠈⠀⠀⠀⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣧⣀⠀⠀⠀⡇⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢾⠛⡷⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣼⣷⣝⣆⣧⣤⣯⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡃⠈⢭⣵⠋⢳⣭⠍⢘⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡴⢾⣽⠛⣯⣿⢶⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣴⠶⣄⣀⣀⠀⠀⠀⢀⣿⣿⠶⣝⣿⣆⠀⠀⠀⢀⣀⣠⡶⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢤⣄⢀⣴⣟⡛⢿⣿⢟⣿⣯⣭⡻⣦⡴⠋⣴⡿⣄⣼⣷⡌⠳⣤⣾⣫⣿⣭⣟⢿⣻⢝⣛⣶⣀⣀⣤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⣋⣷⣿⣿⣾⣿⣿⡿⣿⣷⢏⣵⠛⠳⣝⢿⣿⣮⣧⣸⡁⢹⡿⡟⠀⣧⣠⣿⣿⡿⣫⡵⠛⢷⡙⢿⣿⡻⡻⣿⣷⣶⣟⡷⣯⣻⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣴⢞⣿⡿⠛⠉⠉⣹⢋⣼⣽⣻⢣⣾⡻⣦⣀⠈⠙⢿⣿⣯⣿⣿⠛⠶⡟⢲⡿⢻⣿⣯⠞⠁⢀⣠⠿⣻⣎⢿⣳⣽⣌⢿⡉⠉⠙⢿⣿⡟⢦⣄⡀⠀⠀⠀ ⠀⠀⣿⣹⣧⢾⡟⠀⠀⠀⢰⠏⡼⣿⢿⡏⡾⢿⣿⣶⣽⢿⡀⠈⠳⣿⡏⢻⣊⡀⣁⣾⠁⣼⡿⠁⠀⣾⢿⣵⣿⡿⢻⡘⡿⢿⣾⠈⣇⠀⠀⠀⠙⣞⣾⢏⣹⡆⠀⠀ ⠀⢀⣿⢡⣯⡟⠀⠀⠀⠀⣾⠀⡇⡏⢸⠃⣷⣶⣿⢟⠈⠻⣿⣷⡆⢹⡧⠈⣷⠟⣷⠃⢸⡿⠀⣶⣿⡿⠋⣻⢿⣶⣶⡇⢻⠸⠇⠇⢸⠀⠀⠀⠀⠘⣞⢇⢿⣆⠀⠀ ⣴⠿⣦⣞⡿⠀⠀⠀⠀⣠⣿⠀⣟⣗⢸⡆⣧⠬⠿⢷⣤⣄⠈⠻⣷⣤⣿⠀⣽⣻⡹⡄⣸⣧⣴⡫⠋⣠⣶⡴⠾⠯⢬⡇⡾⣴⡟⡆⢸⣦⠀⠀⠀⠀⢹⡾⡄⡟⢷⡀ ⠻⡶⠋⣿⡇⠀⠀⢀⡴⠟⢻⡀⠛⣟⠀⢳⢳⡄⠀⢠⣬⣭⣙⣒⠈⠻⣟⡏⢻⠟⣷⠇⣿⠟⠁⢀⣚⣭⣷⣤⠀⠀⣼⣱⠃⢙⡞⠁⣞⠛⠷⣄⠀⠀⠀⣷⡇⢻⡾⠃ ⠀⣿⠀⣿⡇⣠⠔⢩⣶⣿⣿⣷⢠⡙⣆⠈⢯⢿⣦⣌⢻⣿⣿⣿⣿⣷⣾⣿⡏⣤⣿⣿⣷⣶⣿⣿⣿⣿⡿⢁⣴⣾⠯⠃⢀⡟⣹⣵⣿⣿⣶⣌⠳⣦⡀⣽⡟⣼⡇⠀ ⢠⣿⡦⢏⣿⠁⢀⣿⣿⣿⣿⣿⣷⡻⣿⣶⠀⠀⠻⣿⣷⣿⣿⣿⣿⣿⣿⡏⢉⣀⣈⠙⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣶⣾⡿⣷⣿⣿⣿⣿⣿⣆⠀⢻⣧⠇⣿⣧⠀ ⠘⠻⣷⣌⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣝⢯⡳⣄⠀⢜⢿⣿⣿⣿⣿⣿⡟⢀⣿⣷⣿⣧⠻⣿⣿⣿⣿⣿⣿⢏⠀⣀⡴⣫⢾⣾⣿⣿⣿⣿⣿⣿⣿⣿⠋⢈⣰⡿⠋⠀ ⠀⠀⣿⠻⣧⣜⠽⣿⣿⣿⣿⣿⣿⣿⣿⣧⡻⣿⣦⡎⠳⣽⣿⣿⣿⡿⢴⡋⢙⣭⣛⠩⣷⠿⣿⣿⣿⢟⡽⠋⣧⣾⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⢷⣴⠻⢻⠁⠀⠀ ⠀⠀⣿⡀⢻⣽⣇⢬⡙⠙⢻⣿⣿⣿⣿⣿⣿⣮⡿⢿⣆⢈⣻⣿⣷⣧⣼⢻⢫⠤⣭⣷⢳⣤⣯⣟⣽⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⣩⢄⣾⡿⠂⣼⠀⠀⠀ ⠀⠀⠈⢷⣾⣿⣿⣿⣧⣶⢤⡗⠈⣟⣿⣿⡿⠿⣿⡅⠺⢽⣦⣼⡿⣯⢨⠻⢶⣶⡶⠞⣯⢈⠿⣿⣤⣾⢿⣂⣿⠿⠿⢿⣿⣿⡇⠚⣧⣴⣤⣷⣿⣿⣾⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠉⢿⡫⣻⣿⣿⡿⢻⠆⢈⣻⢿⣿⣟⣯⠷⠿⣷⣶⣷⣚⣋⣉⣹⣿⣥⣽⣏⣽⣉⣑⣲⣞⣶⠿⠿⢯⣑⣾⡿⢿⡋⠀⣟⠻⣿⣿⣿⠛⣻⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠷⣍⣉⣙⡯⢼⠞⣋⣹⣿⣿⣿⣿⡿⠿⠿⢶⠒⡛⠚⣛⣛⡿⣟⣛⡛⢻⣛⣻⠿⠿⠿⣿⣟⣻⣧⢯⣙⡛⣿⢾⣛⣉⣉⡵⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣋⣷⣞⡯⢿⣿⣯⣩⣷⡖⢀⣮⣷⣮⣐⣷⣺⣿⣿⣠⣸⣷⣟⣺⣟⣿⡲⣶⣆⠘⣦⣯⣩⣿⣺⠭⣟⣾⣍⣳⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡟⢯⣷⢺⣿⣿⡿⠼⠿⠿⠏⠟⠱⠏⠓⠙⠻⠉⠛⠋⠛⠛⠑⠋⠧⠹⠿⠿⠿⠟⢾⣿⣷⣞⣲⡮⠿⣮⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⣺⣧⡿⠟⠋⢁⣠⣄⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣤⣤⣀⡀⠉⠛⠾⣿⣇⣠⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⢁⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠙⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢭⣙⡛⠯⣿⣟⣻⠿⠿⠛⠻⠟⠛⠛⠛⠛⠛⠛⠛⠛⠿⠛⠟⠿⣯⣛⣿⡯⠟⣿⣿⠽⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠚⠿⠭⠥⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠤⠭⠿⠒⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠉⣝⣫⡉⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⣠⣤⣢⣤⣀⡡⣿⢺⢏⢀⣤⣴⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⣮⠿⢻⣿⣿⣺⣉⠻⣿⣺⠼⡫⣧⣿⠟⢋⢯⢿⣟⡗⠷⣵⢄⠀⠀ ⠀⡸⣿⠃⠀⡆⡟⢣⣽⡟⢧⡌⠇⢷⣶⢱⢣⡼⢻⣯⡿⢻⠽⠀⠈⢿⣻⠀ ⢸⣿⡇⢀⢴⡃⢛⢹⡌⢹⣒⣙⢾⣺⣻⡾⣋⣐⡯⢁⡟⢫⣻⡣⡀⠘⡟⡕ ⢸⡟⢗⣱⣿⣿⣶⣦⠘⢷⣿⣿⣿⣉⣍⣿⣿⣿⡿⠋⣰⣿⣿⣿⣮⡰⢷⡇ ⠀⢙⢶⡻⠿⣿⣿⣯⣳⣟⢿⣿⣳⡩⢏⢞⣿⡿⢣⣾⣿⣿⣿⠿⢟⣴⠋⠀ ⠀⠈⠺⡿⣷⣾⠹⣿⣿⣮⣓⡾⣿⣷⣾⣧⢟⣖⣿⣟⣿⡟⠹⣶⡿⡟⠃⠀ ⠀⠀⠀⠉⢲⣻⡯⣿⣻⡟⣭⣍⣭⣿⣻⣭⣿⣭⡻⣟⣽⢿⣟⡶⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⢏⡿⠟⣋⣩⣭⣤⣿⣷⣶⣷⣬⣭⣍⣙⠻⢿⡹⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠨⣰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠝⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠐⠛⠑⠀⠀⠀⠀⠀⠀⠈⠛⠒⠉⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⣷⡀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣀⠀⣸⢷⡄⣼⡏⢿⣼⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⢷⣄⠀⣸⡇⠙⠷⣿⠈⠻⣿⡱⠘⡏⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣄⡄⠸⡟⢷⡇⠙⢷⣿⠁⠀⣠⡿⠀⠀⠈⠛⠛⠃⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠻⣷⣾⡿⢀⡇⠀⠀⠉⠓⠶⠟⠁⠀⠀⠀⠀⢀⣠⣶⣛⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣯⠉⠉⠁⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣖⣋⣁⣯⣩⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣀⣀⣀⣤⣤⠴⣖⠛⢋⡵⢶⡀⠿⣤⡿⣠⠞⠛⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠸⣏⣹⠛⣧⡰⣯⣩⡧⠈⣿⣿⣧⣤⣶⠻⣧⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡟⢙⣧⣀⠀⠀⠀⠀⠀⢹⡮⢽⡯⠴⠾⠶⠞⠛⠋⠉⣠⡿⠶⠦⠀⣷⡀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡿⠋⠉⢉⣻⣦⠀⠀⠀⢸⡇⢸⠡⡴⠦⡀⠀⠀⠀⠀⢁⣀⣴⣶⣶⠘⡇⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣤⠶⠞⠋⠉⢹⡇⠀⠀⠘⡇⢸⣧⡾⢶⣦⣀⠀⠀⢠⠟⠿⢿⣫⡟⠀⣿⠀⠸⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣦⢀⣀⣤⡶⠾⣷⠀⠀⠀⢸⡄⢳⡙⠾⠿⢟⡗⠀⠈⠛⠛⠋⠁⠀⠀⢸⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣿⡁⠀⠀⠀⢻⡇⠀⠀⠀⢳⠈⢷⠀⠀⢾⣁⠀⠀⢀⣤⣶⠃⠀⠀⣾⠄⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣷⡀⠀⠀⠸⣧⠀⠀⠀⠘⣇⠈⢣⡀⠀⠀⣶⡛⢉⡴⠃⠀⣠⠾⢹⡇⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣷⡀⠀⠀⢻⡇⠀⠀⠀⢸⡆⠀⠻⣦⣀⠈⠛⠋⢀⣀⡾⣿⠀⢸⡇⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣷⡀⠀⠸⣷⡀⠀⠀⣀⣿⠀⠀⠙⡏⠙⠓⣾⠋⠉⠀⣿⡷⠾⣷⡄⣀⢿⠛⠲⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣷⡀⢀⣹⡧⣴⠞⠉⢹⡇⠀⢀⡏⠉⠙⣿⠀⠀⠀⢹⡇⠀⢸⣷⣸⣾⡆⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢿⣯⣽⣿⠇⠀⠀⠀⣧⢠⣼⠀⣶⠖⣿⠀⠀⠀⠘⣿⡆⠈⢻⣳⣟⠻⣄⡀⠀⢾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⢻⡄⠀⠀⠀⣿⣿⠏⠀⠛⣼⡟⠀⠀⠀⠀⢿⡁⠀⠈⠳⣿⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡘⣧⡀⠀⢰⡿⠸⠀⠀⢀⡿⣦⣀⠀⠀⢀⣾⣧⠀⢀⣀⣹⡀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠸⣇⠀⢸⡇⣰⣿⠏⣸⠃⠀⠉⠛⠚⠋⠀⢹⡆⠸⠿⢹⡇⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢻⡆⢹⡆⢸⠇⢈⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠸⣷⡄⠀⠘⡇⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠚⠳⢾⣤⣿⠓⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢻⠃⠀⠀⣷⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢨⣿⢦⠀⠀⠈⠙⠷⣤⣏⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⣿⢾⡄⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠘⢻⣿⠃⠀⠀⠀⠀⠈⠛⢦⣤⣀⣀⣠⡤⠀⠀⢸⡇⠀⣀⣸⡇⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠘⣿⢂⡀⢀⣀⣀⣀⡀⠀⠈⠙⠻⢧⣄⣀⡀⢸⡇⠀⠿⠏⡇⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠻⠾⣿⠙⣿⠉⠙⣿⠶⣦⣀⡀⠀⠈⠉⠛⢿⡇⣀⡀⠀⣧⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⣻⡇⠹⣆⠀⣿⠀⠈⠙⠻⢶⣄⣀⠀⢸⡇⠛⠃⠀⢸⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣿⢻⡄⢻⡄⣿⠀⠀⠀⠀⠀⠀⠙⠓⢾⡇⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⣿⢸⣷⠈⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⡇⢠⣴⡄⠸⡇⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⣿⠈⠻⣧⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⢸⡇⠸⠿⢀⣰⡇⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⣿⡄⢻⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠻⠋⡇⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢹⠀⣀⠈⣿⡀⣿⡀⠀⠀⠀⠀⠀⠀⢸⣇⢠⣶⠀⢀⣳⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⢸⡄⢾⡷⠸⣧⠘⣧⠀⠀⠀⠀⠀⠀⠘⡟⢿⡿⠈⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⠀⠀⢻⣆⢻⣆⠀⠀⠀⠀⠀⠰⣧⡄⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠰⣤⠈⣿⡀⣿⣦⣀⣀⣀⣀⣸⡿⠃⣤⡄⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣀⠁⠀⢸⣷⠘⣿⠛⠛⠛⠛⢻⡧⢰⣿⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⣧⠀⠘⣿⣆⠹⣇⠀⠀⠀⢸⡇⠀⠉⠀⣀⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀ ⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠙⠁⠀⢀⣿⠻⠿⠋⠀⠀⠀⢸⡇⠀⠀⢰⣿⠟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀ ⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣃⣀⠀⠀⢀⣿⣿⡄⠀⠀⠀⠀⠀⢸⣧⡄⠀⠈⠁⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡀⠀ ⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⢿⠇⠀⠸⢿⣿⠃⠀⠀⠀⠀⠀⢸⡿⠁⠀⣼⣿⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀ ⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⣀⣀⣀⡀⠀⣿⠁⠀⠀⠀⠀⠀⣾⣁⣀⣀⠟⠋⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄ ⠴⣿⠓⠒⠒⠒⠲⠶⠿⠿⠛⠛⠓⠛⠛⠛⠋⠉⠛⠛⠛⠳⡿⠀⠀⠀⠀⠀⠘⢋⠉⠛⡛⠻⠷⠶⠾⠷⠶⠒⠒⠒⠒⠛⠛⠛⠙⠋⠉⠓

⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🟦🟦🟦🟦🟦🟦⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜⬜🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜⬜🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜⬜🟦⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜⬜🟦🟦⬛⬛⬜⬜⬛⬛⬜ ⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜⬜🟦⬛⬛🟦🟦⬛ ⬛🟦⬛⬛🟦🟦🟦🟦🟦🟦🟦⬛⬛🟦⬜⬜🟦🟦⬜⬜🟦🟦🟦🟦⬛⬜ ⬛🟦⬛⬛🟦🟦⬜⬜⬜🟦🟦⬛⬛🟦⬜⬜🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜ ⬛🟦🟦🟦⬛⬜⬜⬛⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜ ⬜⬛🟦🟦⬜⬛⬛⬜⬛⬛⬜🟦🟦🟦🟦🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦⬛ ⬜⬜⬛🟦🟦⬜⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦🟦🟦⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜

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

⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠒⠂⠐⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠴⠒⢶⠓⠒⠒⠒⠂⠠⠄⡀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠀⢔⠖⠀⠀⠈⠀⠀⠢⠤⠀⠑⠦⠦⠤⠤⣀⠀⠀⠀⠀ ⠀⠀⡀⠈⠈⢂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⠀⠀ ⢀⠌⠀⠀⠀⢠⠇⠒⠒⢒⡶⢂⣤⣬⠫⡉⠀⠀⠒⠠⠀⠀⠀⠀⢡⠀ ⠘⠀⠀⢀⢼⡗⠲⢄⠀⠀⠀⡿⢿⡿⠀⠈⢑⠤⢀⠀⠀⠀⠀⠀⠀⠇ ⠘⠄⠀⠸⠀⠱⢿⣿⣷⠀⠀⠁⠁⠀⠀⡐⠁⠀⠀⢂⠀⠀⠀⠀⠀⠀ ⠀⠈⠑⠠⢀⠀⢘⡌⠁⢃⡀⠀⢀⡄⠀⢧⣀⣀⣀⠨⠀⠀⠀⠀⠀⡆ ⠀⠀⠀⠀⠀⠈⡇⠈⠢⢀⠴⡿⡻⠁⠠⠃⡆⠀⠀⠀⠀⠀⠀⠀⠰⠀ ⠀⠀⠀⠀⠀⠀⠑⢠⡐⠂⣉⢲⠀⠂⠁⠀⢡⡀⠀⠀⠀⠀⠀⢠⠃⠀ ⠀⠀⠀⢀⣤⠔⠊⠀⠈⢹⢹⠁⠀⠀⠀⡀⠔⡸⠒⠒⠀⢄⢀⠃⠀⠀ ⠀⢀⠔⠁⠱⡀⢀⠂⠀⠀⢆⢑⣀⡉⠥⠒⠈⠀⠀⠀⠀⠀⢇⠀⠀⠀ ⠀⠚⠄⠀⠀⠜⠉⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠒⠚⠠⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⡿⠿⠿⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⢋⣠⣴⣶⣾⣿⣷⣶⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣿⣿⡿⢻⡙⢻⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⡟⠁⠀⠉⠀⠈⢀⣈⠹⢿⢒⡄⠀⠀⠀ ⠀⠀⠀⠐⣿⣿⣿⣠⠤⡀⠀⠀⢠⡹⠟⠀⠈⠈⡆⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⡌⠐⠛⠁⠀⠀⠀⠀⠀⢀⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⡵⡄⠀⠀⢂⣀⠤⠆⢀⡼⠔⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣸⠦⠄⣑⠚⠊⡠⡎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠑⢂⠀⠀⠀⠉⢠⣉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⢌⠒⠀⢌⠴⠤⡀⡸⠫⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠊⠀⠀⠀⠑⠄⠀⠑⢄⡘⢀⠀⠋⠢⡀⠀⠀⠀ ⠀⢀⠎⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠠⣸⠀⢸⠀⠈⢆⠀⠀ ⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⡌⠀⢸⠀⢆⠀⢂⠀ ⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢤⠁⠀⠸⠀⠈⡀⠈⠄

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⢉⠝⠋⠙⠒⠮⢉⣈⢳⠩⡲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣶⢻⠃⡠⠁⢀⠤⠒⠈⠁⠒⢤⡤⢤⣜⣈⡆⣤⢀⡀⠀⠀⠀⠀⠀ ⠀⡼⢹⡇⠘⠀⠃⡠⠁⢀⠠⠤⠤⠄⣀⠈⠲⢌⠉⠓⢄⣲⠈⢣⠀⠀⠀⠀ ⠀⡇⢸⢃⠀⢸⡰⢡⠂⣁⠀⡀⠀⠀⠀⠁⠂⢄⣙⠲⡂⠉⠀⠸⣆⠀⠀⠀ ⠀⡳⡀⠫⡆⠸⠣⡡⠊⣀⡀⠈⢆⣀⡀⠀⠀⠀⠀⠉⠉⠁⠀⢀⠏⢱⠀⠀ ⣼⠀⠈⣲⣽⣂⣠⠄⠂⠉⠈⢆⠸⡈⠙⠧⠤⢀⣀⡀⣀⣀⠤⠚⢁⡜⠀⠀ ⠙⢄⡨⡇⠀⠀⠀⠀⠀⠀⠀⠀⢂⢣⣀⡀⠈⢦⢀⡀⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠐⡁⡇⠀⠀⠀⠀⢀⡠⣴⠞⢉⣙⣓⣮⡴⠈⠳⡦⢤⡤⡤⠔⠋⢳⠀⠀ ⠀⠀⠈⠗⠂⠶⢄⠀⠈⠉⠀⢀⢻⣿⣿⣬⠁⠀⠀⠃⡴⢡⣱⡀⢀⡜⠀⠀ ⠀⠀⠀⠸⣶⠓⢶⣖⡀⠀⠀⢨⡠⠷⠚⠁⠀⠀⠀⡜⠙⢃⠃⠱⣜⠛⠆⠀ ⠀⠀⠀⠀⢺⠑⠛⠛⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠁⠄⡀⠈⠙⡄⠀ ⠀⠀⠀⠀⢸⡀⠀⠀⡄⠀⡠⠀⠀⡤⠀⠀⠀⠀⣰⠃⠀⠀⠀⠈⠐⡆⡇⠀ ⠀⠀⠀⠀⠀⠙⢄⠀⢤⡤⠤⢒⠟⠀⠀⠀⡠⠊⢹⡄⠀⢃⠀⠀⡰⢠⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⠢⣈⠉⠁⠀⢀⠄⣪⠖⠉⠁⠀⠀⢸⡀⢠⣧⡃⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠒⢹⡴⠁⠀⠀⠀⠀⢠⠏⠈⠉⢻⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠚⢉⠭⠽⠥⣀⡀⠀⡠⠔⠁⠀⠀⠀⡜⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠤⠤⣇⡰⠁⠀⠀⠀⠀⠈⠉⠓⠢⠤⢤⡤⠾⡁⠀⠀⠀ ⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠉⢒⠦⠤⠤⢄⡀⠀⠀⣀⡠⠋⠀⠀⠘⢦⠀⠀ ⠀⠀⢀⡤⠼⠤⢄⣀⣐⢶⡶⠁⠀⠀⠀⠀⠈⠋⠉⠀⠀⠀⠀⠀⠀⢠⣧⠀ ⠀⢠⠏⠀⠀⢀⣀⣀⠔⣻⠙⠉⠓⠒⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠛⡄ ⠀⠀⡖⠂⠉⡹⠟⠛⣄⡇⠀⠀⠀⠀⠀⡀⠉⠛⢶⣦⢀⣀⣠⡴⢊⠃⠀⡇ ⠀⠀⣧⣄⡎⠘⣤⠐⢺⠓⢦⣤⡀⠀⠀⠉⠁⠒⠢⠄⢀⠉⡠⠀⡌⣀⠴⡇ ⠀⠀⢟⣿⡄⠀⠁⠀⢸⠀⠀⠉⠉⠁⠓⠖⣶⣀⣀⣀⣠⣤⠴⢶⠋⠁⠀⢇ ⠀⢀⠀⠀⢧⠀⠐⠷⡟⠀⠀⠀⠀⠀⠀⣰⠀⠀⢘⠞⠐⠋⢠⠏⠀⠀⠀⢸ ⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡾⠛⠛⠛⣛⣿⡷⠶⣦⣄⣀⣠⣴⠶⠛⠉⠉⢿⣭⣙⠻⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⢀⡴⠚⠉⠁⠀⠀⠀⠉⠉⠛⠶⣤⣄⡀⠀⠀⠙⣏⠙⢦⣉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⠃⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣀⠀⠉⠉⠛⠛⠋⠀⠀⠘⡆⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⡟⣽⠋⢰⠇⠀⠀⣼⠃⠀⠀⠀⢀⣤⠞⠋⠁⠀⠀⠀⠀⠈⠙⠷⣦⣤⣤⣤⣤⣤⡶⠃⠀⠀⢹⣆⢠⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⢏⡿⣹⠃⠀⣾⠀⠀⣸⠇⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⡈⠛⠿⠯⢭⣭⣙⣿⠀⠙⢧⡀⠉⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⠃⢸⢇⡇⠀⠀⡿⠀⢰⡟⠀⠀⣠⠏⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠈⠛⢧⣄⠀⠀⠀⠉⠛⠷⣄⠈⢳⣻⡀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⠃⠀⢸⢸⡇⠀⠀⡇⠀⢸⠁⠀⣴⠋⠀⠀⣀⠴⠚⠋⠁⠀⠀⠀⠀⠈⠉⠛⠳⢤⣄⡀⠀⠀⠉⠳⢤⣀⠀⠀⠀⠈⢳⣾⡟⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⢸⡟⢷⠀⠀⠀⠀⡼⠀⣰⠋⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⢤⣄⠀⠀⠙⠿⣟⠛⠛⠋⠁⠀⠀⠀⠀⣼⢷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⡆⠀⠘⣧⡘⣇⠀⠀⠀⣷⢰⡇⢀⡜⠁⢀⣠⠔⠛⠛⠛⠓⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠦⣤⣬⡽⠦⠄⠀⠀⠀⠀⠘⠃⢸⣷⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢿⡄⠀⠘⢧⠙⡄⠀⠀⢸⡿⢠⡞⠀⡴⠋⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⣾⠏⠙⢷⣆⠀⠀⠀⠀ ⠀⠀⣰⡞⠻⣆⡀⠈⠳⡹⣆⠀⢸⠇⠏⢠⠞⠀⠀⢠⢤⣤⣄⠀⠀⠀⠘⣷⣶⣶⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⡀⠀⢸⣿⠀⠀⠀⠀ ⢀⣾⡏⢀⣀⣄⣙⣦⣄⡙⠻⣄⠀⠀⠴⠋⣀⣠⠶⠚⠉⠉⠉⠳⣄⠀⠀⢹⡀⠉⠙⠺⣯⣉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣯⠞⠃⠀⣼⠏⠀⠀⠀⠀ ⢸⣿⠀⠉⠀⠀⢀⣈⣙⡻⢶⣬⣁⣂⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠈⣧⠀⠀⠀⠈⠙⢿⡙⠻⠶⢦⣤⣤⣤⣀⣠⣤⣤⣤⠶⠖⠛⠉⠀⠀⢠⡟⡇⠀⠀⠀⠀⠀ ⠸⣿⡄⠀⠀⠘⣹⡏⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⢻⡇⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠈⠻⢦⣀⣰⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⢷⣤⣀⣀⣀⡀⠀⠀⢹⣿⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠋⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢴⣺⠿⠿⢾⣿⣍⣉⣭⠗⢀⡀⠀⠙⢷⣄⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⢖⣫⠗⠛⠀⢀⣠⣌⣉⣹⣉⣦⣤⣶⡏⠀⠀⠀⠙⡿⠳⠦⢤⣤⣤⣤⡤⠶⠟⠋⠀⠀⠀⢹⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⢾⣇⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠘⠿⠵⠖⠋⠁⠀⠀⡞⣯⣿⣿⣿⢿⣟⠻⢿⠟⠁⠀⠀⠀⠀⢸⡄⠀⢀⣸⡏⠀⢹⡄⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⠛⠓⠲⠭⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢻⢻⣿⣿⣷⠛⡄⣾⠀⠀⠀⠀⠀⠀⠸⣧⢀⣿⠟⢀⣶⢸⣧⠀⠀⠀⡄⢠⡞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⣦⡀⢀⠶⠆⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠘⣮⢟⡛⣩⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⣿⡸⢷⡀⣸⠃⢸⠉⢷⡀⠀⣇⣿⢀⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠟⢻⣿⣷⢦⡳⣆⠀⠀⠀⠀⠀⠀⠀⣇⠀⢀⣈⣽⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠸⡷⠃⣰⡇⠀⠀⠳⡄⠘⠿⠞⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⡄⠸⣇⠻⣿⡿⣾⣧⠀⠀⠀⠀⠀⠀⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⢀⣰⠟⠀⠀⠀⠀⠙⢶⣄⣠⡾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⠙⠶⣬⣿⣿⣿⠽⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠉⠉⠉⠀⠀⣄⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠉⠳⢤⣀⠀⢠⡀⠀⠹⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣿⡄⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡀⠀⠀⠀⠀⢸⡋⠀⠀⢀⣀⠙⠃⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⣻⠇⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣷⡀⠀⠀⠀⠈⠙⠓⠂⠈⠁⣀⣤⡤⢞⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠋⢻⡄⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⢰⠟⠀⣴⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠘⠒⢶⠒⠒⠛⠛⠁⣠⡞⠃⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠀⢀⣈⣷⡴⠂⠀⠀⢸⡄⠀⠀⠀⠀⢠⡟⠀⢰⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣄⡀⠈⠙⠒⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀⣀⡶⠛⣁⣴⡶⠟⠋⠉⠁⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⣿⠁⣰⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢲⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⣴⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⣠⣿⡰⣏⠀⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣄⡀⠀⠀⣀⣴⢿⡇⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠙⠶⣾⣽⣿⣷⣽⣶⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⢸⡇⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠶⠶⠶⠾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠟⠁⠀⠀⣀⣀⣤⣴⣯⣀⣀⣀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⢀⣴⠟⠉⠀⠀⠀⠀⠈⠉⠛⠻⠷⢦⣤⣤⣞⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣄⣀⣺⠇⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠷⠦⣤⣤⣄⣀⣀⣀⣤⡾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠛⠉⠉⠙⠛⠛⠦⣼⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⡟⠛⠉⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢦⣄⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠟⠉⠉⠉⠉⠉⠉⠑⠲⣦⣤⣤⣤⣠⣤⣤⣴⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣄⣤⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢲⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⠿⠟⠋⠉⠛⠓⠒⠲⠶⠶⠶⠶⠖⢋⣹⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢻⡇⠀⠀ ⠀⠀⠀⠀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣯⣿⠷⣾⠿⠻⠶⢶⣤⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠈⣿⠀⠀ ⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⣀⣀⣤⣦⣦⡞⠋⢀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠷⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡞⠀⠀⢸⡆⠀ ⠀⠀⠀⠀⣿⠀⣀⣤⠴⠶⠛⠛⢻⣿⣿⣿⢿⡇⠀⢹⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠷⣾⣳⡄⢄⣤⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣼⢻⡄⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⣸⡟⠉⠀⠀⠀⠀⣠⡾⡯⠏⠏⠀⢻⣄⢸⡿⠃⠀⠀⠀⠀⠀⠀⣠⠄⠀⠀⢀⠀⠀⠀⠀⠀⠙⠻⠾⣽⣟⡂⠀⣀⠀⣀⢤⣴⣿⠿⠋⢀⡿⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⣿⡇⠀⠀⠀⢠⡾⠃⢨⡄⠀⠀⢀⣈⢻⣾⣧⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠽⠤⢄⡤⣄⡀⠀⠋⠉⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⣸⠁⠀⠈⠀⢸⡇⠀ ⠀⠀⠀⠀⢹⣿⢦⣄⣠⡟⠁⠀⢈⣷⣧⣀⠈⠛⢃⣿⠘⠚⢷⣤⣰⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠲⣖⣤⠀⣀⣀⠀⣀⡤⣄⣠⠐⢦⡇⠈⢠⣤⠶⢻⡇⠀ ⠀⠀⠀⠀⢸⡿⠶⣾⣿⠁⠀⠀⠈⠻⠟⠁⠀⢀⢸⡿⠀⠀⠈⠉⢻⡿⠿⢧⣄⣄⣠⣄⠀⠀⢀⡀⢀⡄⠀⠀⠀⠀⠉⠀⠛⠚⠀⠙⠋⠁⡀⣀⣿⡷⠶⠛⠋⠀⠸⣧⠀ ⠀⠀⠀⠀⢸⣿⠲⢶⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠁⠀⠀⠉⠉⠉⠹⠿⠓⠛⣳⣏⡀⠀⠀⠀⢀⡀⠀⢠⣯⣤⣦⣴⡶⠿⣿⡏⠀⠀⠀⠀⠀⠀⣿⡀ ⠀⠀⠀⠀⠀⡹⠛⠿⠾⣇⠀⠀⠀⠀⠀⣀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠻⠛⠛⠷⠾⠿⠷⡶⠟⢛⣯⣭⠄⠀⢸⡿⠃⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣴⠃⠀⠀⠀⣿⣦⠀⠀⠀⠰⣿⣿⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠿⢧⡾⠃⠀⠿⠋⠁⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⣇ ⠀⠀⠀⢠⠃⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠙⠁⣽⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⢀⡴⠏⠀⠀⠀⠀⠀⠀⢰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢐⢇⣨⣿⣤⣾⣧⣼⣏⣰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣾⢿⣿⣱⣾⣫⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠗⣷⠿⢛⣿⣿⣿⢿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢼⣵⣾⣿⡿⠟⠁⠀⠉⠛⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡟⢁⣤⣄⡀⠀⣠⣤⣄⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣟⣿⣿⣿⠀⠻⣿⠿⠁⠸⡟⣿⠗⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡯⣿⣿⣗⠀⠀⠀⠀⡀⠀⡀⠀⢀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⢿⣽⣻⡄⠀⠀⠀⠑⠒⣁⡠⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⣿⣿⢄⡀⠈⠋⠝⠋⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣩⣿⡟⠀⠈⠒⠤⠤⢶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣾⠃⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠛⢦⡀⠀⠀⠀⢸⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⣿⢇⠀⠈⠻⢦⣐⣀⣈⣿⢿⡦⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⢏⡍⢻⣾⣶⡃⠄⠀⠀⠉⠛⠛⠁⠈⣿⣿⣿⢷⡄⠀⠀⠀⠀⠀⠀ ⠀⢀⢾⢋⣾⢊⠀⢸⣿⣿⣿⣎⠢⡀⠀⠀⠀⣀⣤⣿⣿⣿⣧⢻⡄⠀⠀⠀⠀⠀ ⠀⣶⠃⣾⠏⡈⡰⢸⣿⣿⣿⣿⣣⡹⣿⢟⣿⣯⣽⣷⣾⣿⣿⡆⣷⡀⠀⠀⠀⠀ ⠀⣿⢸⡟⠀⣿⠃⣼⠇⣿⣽⣿⣿⢟⠹⣷⣖⣿⢸⣧⣾⣿⣿⡇⣾⡇⠀⠀⠀⠀ ⠀⢿⣼⡇⣸⠟⣴⠟⣸⣿⣿⣿⣿⣿⡇⠳⣾⣿⢿⣾⣿⣿⡿⢣⠟⠁⠀⠀⠀⠀ ⠀⠀⠙⠘⠣⣿⢿⣾⣿⣧⣿⣿⣿⣿⣿⣿⣏⣞⣏⣯⡟⠀⠀⢨⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠀⠀⢁⠀⡏⣿⢿⣿⣿⣿⣿⣷⡞⣏⡿⣩⣿⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀ ⣀⣀⣈⣀⣀⣀⣀⣀⣹⣴⣿⣿⣿⣿⣿⣿⣾⣡⣿⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⣿⣏⣝⣽⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢰⣄⠀⣼⣆⣰⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠀⣦⡀⢠⡟⠦⣸⠙⢾⣏⠸⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣤⡀⣻⠷⡏⠻⣾⡁⢀⡾⠀⠈⠛⠚⠃⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣟⢿⣰⠇⠀⠀⠙⠛⠁⠀⠀⣀⣤⢶⠯⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⢀⣀⣠⠤⠖⣲⡏⢹⣒⡎⣱⠿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡀⠀⠀⠀⠀⠈⣟⣟⢻⡀⣟⣳⠈⣷⣾⣤⢾⢻⡁⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣏⣹⣦⣀⠀⠀⠀⢹⠚⡿⠒⠚⠒⠉⠉⢡⠼⠓⢂⡸⡄⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠏⣀⣤⠾⢷⠀⠀⢸⡀⣧⣫⣙⡂⠀⠀⢠⣶⣿⣿⡇⣧⠀⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣏⢁⣀⣤⠼⡆⠀⠀⢧⢹⡝⠼⠿⡢⠀⠛⠒⠛⠋⠀⢹⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣯⠁⠀⠀⣿⠀⠀⠘⣆⢱⡀⠰⢥⠀⢀⡠⡶⠁⠀⣼⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣧⠀⠀⢸⡆⠀⠀⢸⡄⠱⣄⠀⠻⣥⠜⠁⣀⡞⢹⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣧⠀⠀⣿⠀⠀⠀⣳⠀⠘⡷⠲⢤⡶⠚⢹⣧⣼⣇⠀⢸⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢧⣀⣸⡧⡴⠛⠙⡆⠀⡟⠒⢺⡇⠀⠈⣿⠀⢿⣏⣯⡆⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⡞⣿⠁⠀⠀⣷⣶⠃⣿⣹⡇⠀⠀⢹⡗⠈⢿⣿⡙⠦⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢷⠸⡄⠀⠀⣿⡏⠀⢀⣿⡀⠀⠀⢘⡆⠀⠀⢹⠁⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣇⢻⡀⢸⡇⣴⡖⣸⠁⠙⠒⠒⠋⢹⡀⠿⠟⡇⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣹⡌⣷⢸⠃⣉⠀⡏⠀⠀⠀⠀⠀⠘⣷⠄⠀⡇⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠻⣍⠉⠙⠲⢯⡀⡇⠀⠀⠀⠀⠀⠀⣯⠀⣤⣻⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⠸⢧⡥⠀⠀⠈⠙⠧⣄⡀⠀⢀⡀⠀⢿⡀⠉⣸⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⢹⡗⣄⣀⣀⣤⣀⠈⠉⠛⠧⣄⣀⣸⡇⠸⠏⡆⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠁⠀⠈⠛⢻⡘⣇⠀⡏⠻⢦⣄⡀⠀⠈⣿⣧⡄⠀⡇⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⢸⢧⠹⡆⣿⠀⠀⠈⠉⠒⠦⣿⡇⠀⠠⣷⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⣸⢸⡆⢷⣿⠀⠀⠀⠀⠀⠀⢸⠁⣴⡀⢻⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⢹⠈⢻⡈⣿⡆⠀⠀⠀⠀⠀⢸⠀⠛⣠⢸⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⢸⠀⠘⣷⠸⡇⠀⠀⠀⠀⠀⢸⠀⣀⠈⢸⡀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⢸⡀⣶⠸⣆⢿⡄⠀⠀⠀⠀⢸⡷⣿⠐⣾⡇⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀ ⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⢸⡇⠀⠀⢻⡌⢧⠀⠀⠀⠀⢸⣧⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠗⠈⣷⡘⣷⣤⣤⣤⣼⡏⣰⡆⠀⢸⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠐⡇⢰⣆⠀⢿⣇⢹⡄⠀⠀⢸⡇⠛⠃⠀⢸⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀ ⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⢰⡇⠘⠋⠀⣸⡟⠶⠋⠀⠀⢸⡇⠀⢰⡿⢹⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀ ⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⢸⢥⣤⠀⢸⣿⣇⠀⠀⠀⠀⣼⣶⠀⢀⡄⢿⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀ ⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⢸⡎⠉⠀⠈⢹⡧⠀⠀⠀⠀⡿⠁⠀⡾⠇⠸⡀⠀⠀⠀⠀⠀⠀⠀⠹⡆ ⣴⠛⠒⠒⠲⠶⠶⠖⠒⠒⠒⠛⠚⠛⠛⠓⠾⠇⠀⠀⠀⠐⠛⠛⠛⠲⠶⠦⠷⠶⠒⠒⠒⠒⠒⠒⠒⠛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⢦⢠⠁⣡⡊⠩⠀⣦⠐⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢪⣜⢸⠜⣫⣬⣌⣈⡚⡂⠠⡉⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢣⣯⣮⣯⣽⣿⣿⣾⣿⡶⣴⣮⣻⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣬⡿⠞⠛⠉⠉⠉⠙⢳⣽⣿⣧⣽⣁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢎⣾⡇⠀⠀⠀⠀⠀⣀⣀⠻⣇⠨⣳⣨⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⢿⡇⣭⣶⡆⠈⢽⡶⠄⠀⢻⢟⣿⠛⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣞⠁⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⡀⠀⠒⠀⠀⠀⠀⠀⢰⢿⣯⠟⠀⠀⢁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⡀⠙⠀⠀⠀⠀⡠⢺⣇⠀⠀⡀⢠⡘⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠤⢄⠀⢀⣸⣿⠂⠀⠀⠔⠊⠀⢹⣿⣴⣦⡸⠦⡟⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⠗⡈⠟⠋⢃⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⡏⠁⠀⠀⠀⠀⠀ ⠀⠀⢀⡠⠒⠢⡂⠁⠀⠀⠀⠀⣷⡄⠀⠀⠀⠀⣴⡁⠈⠙⠢⠄⣤⣄⣀⠀⠀ ⠀⠰⠁⠀⠐⠂⠬⣂⢄⠀⠀⠀⠈⢻⣲⢤⢤⣞⠟⠀⠀⠀⠀⠀⢀⡟⠀⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠢⢄⠀⠀⠁⠫⡌⠊⠀⠀⠀⠀⠀⠤⠋⠀⠀⠁⠀ ⠰⠲⠶⠶⠶⠶⠶⠶⠖⠒⠒⠒⠚⠒⠒⠒⠚⠒⠒⠒⠒⠒⢒⡒⠶⠶⠶⠶⠖

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠐⠒⠒⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠢⠁⣠⠤⢤⠉⠈⡠⠤⡃⠀⠤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠎⡐⠁⠸⠉⠉⠓⠓⠥⣀⠀⠀⠑⠄⠈⢂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠂⡜⠀⡠⠓⠂⠀⠰⢤⣀⡈⢒⠄⠀⠈⡄⠀⢂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⠀⢀⣼⣴⣀⠀⠀⠀⠀⠀⠈⢂⢊⠂⠀⠰⠀⠈⡄⠀⠀⠀ ⠀⠀⠀⠀⡐⢀⣴⠿⠛⠿⠿⠀⠀⢰⣿⣯⠳⡀⠈⡌⠀⠀⠀⢠⠃⠀⠀⠀ ⠀⠀⠀⡰⠡⢁⠋⡆⠀⠀⠄⠀⠀⠀⠁⠈⠁⠀⠀⢿⢄⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⢀⠃⠀⡌⠀⠰⠀⢈⣐⣀⠀⠀⠀⠀⠀⠀⡀⢊⢴⠱⡀⠸⡆⠀⠀⠀ ⠀⠀⢸⡀⠀⠃⠀⠀⠡⠘⡿⠥⣿⠟⠁⠀⢀⠔⠀⠀⠄⠀⠀⠀⠗⡀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⢡⠀⠀⠀⢀⠠⠔⠹⡀⠀⠀⠰⠀⠀⠀⠀⠡⠀⠀ ⠀⠀⢸⠃⠀⠀⡀⢠⢤⡤⠭⠋⠉⠀⠀⠀⠀⠀⣢⠖⠂⠓⠠⡀⠀⠀⠑⡀ ⠀⠀⢸⠀⢀⣊⣠⣲⠏⠀⣀⡀⠀⠀⠄⠀⠀⣞⠃⠀⠀⠀⠀⠈⢄⠀⠀⠡ ⠀⠀⣈⡴⠋⠁⠀⠉⢳⡔⠃⠌⣢⠀⠀⠀⢸⠟⡸⠀⠀⠀⠀⠀⢸⠃⠀⠀ ⠀⢠⠃⠀⠀⠀⠀⠀⢰⠒⠒⠂⠨⡄⢀⠠⢼⡢⠁⠀⠀⠀⠀⠀⠄⠘⠀⠀ ⢠⠏⠀⠀⠀⢀⠠⠐⢰⢈⢁⠀⠀⠫⠒⠈⠁⠀⠰⠐⠈⠉⠈⡎⠀⠆⠀⠀ ⠟⠀⠀⠀⠠⠁⠀⠀⠀⢹⠈⢆⠀⠘⡄⠀⠀⠀⣠⠀⠐⠈⠉⡁⡘⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣄⠦⡦⣆⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣯⡀⠀⠀⠀⠀⠀ ⠀⣀⣀⣀⣀⡐⣿⣿⣿⣿⣇⣀⣀⣀⣀⡀ ⢸⣿⠀⠀⠀⠀⢉⣻⣿⠋⠁⠀⠀⠀⢸⣿ ⠀⠀⠙⠀⠀⣼⣿⣿⣶⣿⣿⠀⠀⠈⠁⠀ ⠀⠀⠀⠀⣰⡟⠙⣿⣿⠟⠹⣇⠀⠠⠀⠀ ⠀⣖⣲⠿⠋⠀⣴⣿⣿⣷⡄⠙⠻⢶⡒⡆ ⠀⣿⢇⠀⠀⢸⣽⣿⣿⣿⣿⠀⠀⠠⢿⠇ ⠀⡇⠀⠀⠤⢼⣿⣿⣿⣿⠧⠤⠄⠀⠀⡇ ⠀⡇⠀⠀⣆⣿⣿⣿⣿⣿⠀⠀⡇⠀⠀⡇ ⠀⡇⠀⠀⣿⡿⢻⣿⣿⣿⠀⠀⠃⠀⠀⡇ ⠀⡇⠀⢾⣿⣷⣿⣿⣿⣿⣷⣤⣀⠀⠀⡇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⡇⢸⠤⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⢹⣷⣽⡧⢴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣿⣿⠳⣌⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣤⠶⠲⣦⡀⠀⠀⢸⠀⠀⠀⠀⣿⣿⠀⠀⡴⠋⠉⢻⣦⣳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠿⡏⠀⠀⠘⣿⡄⠀⢸⡄⠀⠀⠀⣿⡿⠀⢸⠁⠀⠀⢸⣿⣾⡇⠀⠀⠀⠀⠀ ⢀⣤⣄⡀⠘⣆⣧⠀⠀⠀⢹⣿⠀⠀⣧⠀⠀⠀⣿⡇⠀⣾⠀⠀⠀⣸⣿⣽⠁⣠⠖⠛⣷⡄ ⣿⠀⠈⠻⣦⡉⠘⣆⠀⠀⢸⣿⠀⠀⠸⣆⠀⢰⡿⠀⠀⢸⠀⠀⢠⣿⠃⠀⡼⠁⠀⠀⣿⡇ ⢻⡄⠀⠀⢻⣇⠀⠘⢦⡀⢸⡏⠀⠀⠀⠙⣤⡿⠁⠀⠀⠘⣆⣠⡿⠁⠀⠀⡇⠀⢀⣼⠟⠀ ⠀⠙⢦⡀⢸⡏⠀⠀⠀⠙⣿⣄⣀⣀⣀⡴⠟⠳⠤⣀⣀⡤⠾⢏⠀⠀⠀⠀⣧⡴⠛⠁⠀⠀ ⠀⠀⠀⠉⣿⠧⠤⠤⠴⠚⠁⠀⠀⢉⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠉⠓⠚⠉⠉⠳⢄⣀⣀⡤ ⠑⠒⠖⠚⠁⠀⣀⣠⣤⡶⠶⠟⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠻⠶⠶⣤⣀⡀⠀⠀⠀ ⠀⠀⢀⡤⠖⠛⠉⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣤⡤⠤⢤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠉⠓⢄⡀ ⢀⠞⠁⠀⠀⢀⡠⠔⠒⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠄⠀⠀⠀⢳ ⢿⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣀⡀⢀⣠⠞ ⠈⠑⠢⠤⠖⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀

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

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

⠀⠀⢰⣿⢿⣵⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢿⣷⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⡓⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣯⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⣿⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⣿⠿⠛⣢⡀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣷⣷⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⠋⠙⢿⣿⣷⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡟⠛⠁⠀⠀⠈⠛⠿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣀⣀⠠⣦⠝⠀⠀⠹⡄⠕⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠾⣶⣯⡙⠀⢐⢀⣀⡀⠀⢠⠂⠈⠂⢄⠀⠀⠀⠀ ⠀⠀⢠⣺⣿⣶⠈⢳⣭⣷⡿⠋⠁⠀⣴⣁⡠⠂⠀⠀⠑⠄⠀⠀ ⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⢁⠦⠤⡺⠉⠛⣲⣤⠤⠀⠀⠸⡀⠀ ⠀⠀⣀⣾⣿⣿⣿⣿⣿⠃⣼⢀⠴⠀⠀⠈⠀⠈⢄⠀⠀⣤⢧⠀ ⠀⠺⠟⢻⣿⣿⣿⣿⡟⢸⠏⠁⢚⡀⡄⠀⠀⠀⠀⠢⡀⠃⢠⡀ ⠀⠀⢀⣨⣿⣿⣿⣿⣧⠡⣇⠔⠁⢱⣵⡈⠒⠠⡀⠘⠴⡐⣀⠇ ⠀⠀⠻⠿⢿⣿⣿⡟⢏⠁⠁⡠⠂⢀⠜⡗⢆⠢⠀⠀⠘⡄⠇⠀ ⠀⠀⠀⠀⣸⣿⣿⠃⢀⣸⣃⡀⠒⠁⠀⣡⠀⠀⠑⠄⠀⡀⢸⠀ ⢀⣴⣾⣿⡿⠟⠻⢢⡀⠒⠋⠀⠤⠀⠀⣸⡄⠀⠀⠈⠀⠀⠸⠀ ⠾⠿⠟⠉⠀⠀⠰⠤⣉⠢⠨⡙⡦⠔⠉⠨⣧⠀⠀⠀⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠐⠵⢍⣕⡾⣤⡤⡐⠁⣿⠀⠀⠀⠀⠘⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠒⠒⠉⠀⠀⠘⢧⡷⢊⡇⠀⠀⠀⠀⠀⠁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢇⠀⣇⠀⣰⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣄⠏⠘⣾⢻⣴⠃⡇⣠⡶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡟⣆⠀⡟⠈⣇⢀⡽⢻⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠈⢿⠃⠀⢹⠞⠀⡾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠚⡇⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠛⠒⠒⠒⠒⠚⠁⠈⠙⢦⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄ ⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠙⠓⠲⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⠤⠟ ⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀ ⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⡔⣷⡄⠀⠀⢠⠏⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠳⠿⠃⠀⡄⠀⠳⠟⡇⠀ ⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⢸⠃⠀ ⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⡟⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠐⠶⣶⡖⠒⠒⠒⣶⢤⡞⠀⠀⠀ ⠀⠀⢀⣠⠖⠋⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠉⠓⠒⢋⣡⠏⠀⠀⠀⠀ ⠴⠾⣍⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣿⠶⢤⣀⣀⣀⣀⣀⡤⠴⠋⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠤⠤⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠁⠀⠀⠀⢰⢇⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⢀⠄⠂⠉⢀⡢⣑⠠⠄⡋⣢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⠀⢀⠔⢁⠠⠒⠈⠀⠀⠀⠉⠉⠈⠉⠀⠉⠑⠂⢄⠀ ⠀⠀⠀⠀⠀⢸⠀⢠⢂⠔⠁⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⢱ ⠀⠀⠀⠀⠀⡸⠤⠓⠃⠉⠀⠀⠀⠀⠀⠀⡠⠔⠁⠁⢖⠒⣲⠒⠠⡀⠀ ⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⢀⣠⠄⢐⣒⠛⠃⠀⠀⣼⣵⣤⠿⠀⠀⠁⡸ ⠀⡐⠁⠀⠀⠀⠀⠀⡠⠊⢁⡋⠻⣿⣿⠳⡀⠀⠀⢿⡿⠾⣄⠀⢀⠔⠁ ⢰⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠐⡄⠈⠉⠀⠁⠀⠀⢰⠀⠀⡇⢲⠁⠀⠀ ⠸⡀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⢸⠀⠀⠀⡀⢀⣁⣊⡀⣐⡀⠔⠀⠀⠀ ⠀⠑⡀⠀⠀⠀⠀⠈⠑⠂⠤⡤⠘⠄⡀⠀⠙⢏⣍⢟⠔⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⡈⢃⠀⠀⠈⠐⢠⠄⠠⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢇⠑⠠⣀⠤⠐⠈⠑⡀⠢⡀⠀⢰⢣⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠊⠀⠀⠑⡖⠁⠀⠀⠀⠀⠈⠠⡀⠁⠚⢸⠀⠁⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠁⠀⠀⠀⠱⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⡼⠇⠀⠀⠀⠘⡆⠀⠀⠐⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⢼⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠞⠀⢹⡄⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⡿⣯⡷⡴⢦⣤⡠⣶⡶⠀⢷⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣼⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠈⢧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠛⢦⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠳⠀⢳⡀⢹⡇⠀⠀⠀⠀⠀⡾⡇⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠘⠀⠀⠹⣼⡇⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⡾⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⡟⠀⠀⠀⠀ ⠀⣴⠓⣾⣳⣀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠃⠀⠀⠀⠀⠀⠀⢸⡇⢀⠇⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠀ ⠹⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠀ ⠀⢀⡇⢹⣄⠀⠀⠀⠀⣀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣸⣧⠀⠀⠀⠀⠀ ⠀⣴⣿⠋⠘⣆⠀⢰⠶⠤⢍⣛⣶⠤⠿⣷⣦⡀⠒⠚⡟⠀⠀⠀⠀⠈⠛⠢⠤⡄⠀⠀⢀⡴⢯⠴⣳⠇⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠘⢦⡈⠻⣖⠤⣤⣉⣉⣹⣯⣭⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣫⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠉⢦⡀⠀⠀⠈⠉⠁⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣷⢚⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣷⠇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⣠⣠⠓⢼⠳⣏⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢷⢏⠇⠉⠒⠃⠀⣀⢤⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢣⠤⡄⡶⠨⣿⣋⣯⠛⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠵⢤⡀⠈⡟⢓⠓⠈⠉⢓⣢⢢⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢷⣈⡡⢇⠀⢃⠟⠷⡄⠘⠽⠛⢸⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢣⠀⠸⡀⠈⡌⢄⠑⣄⠚⢁⠜⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢣⠀⢇⢀⡰⠀⢓⣒⡒⠹⡖⣆⣸⠂⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠳⣽⠃⠀⣧⠧⢶⠃⠀⡷⠹⣿⠢⠐⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢣⢣⢠⢋⡄⡞⠢⠤⢺⠠⢼⠀⠀⢡⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡮⠾⣠⢰⠁⠀⠀⠀⡗⢈⡄⠀⠸⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⢫⠀⠀⠙⠦⣀⡀⠀⢇⢉⡇⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⢠⠀⠘⢲⢲⢱⠦⢄⡉⠒⣾⡌⢀⠀⠀⢻⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⢸⣇⢧⡇⠀⠈⠑⠟⢀⢺⠀⠀⠘⡆⠀⠀⠀ ⠀⠀⠀⡎⠀⠀⢸⠙⡜⡇⠀⠀⠀⠀⠛⠼⠀⠀⠀⢹⡀⠀⠀ ⠀⠀⢠⠁⠀⠀⢸⢠⠽⣸⡀⠀⠀⢰⡶⠰⡄⠀⠀⠀⣇⠀⠀ ⠀⠀⡼⠀⠀⠀⠈⠀⠄⢣⢣⣀⣀⣼⢠⠀⡇⠀⠀⠀⢸⠀⠀ ⠀⢀⠇⠀⠀⠀⢀⠀⡆⢸⣏⡆⠀⢸⠙⣠⡇⠀⠀⠀⠘⡇⠀ ⠀⡜⠀⠀⠀⠀⢸⢤⠀⣾⡇⠀⠀⣤⠀⣉⠇⠀⠀⠀⠀⢧⠀ ⡼⠥⠤⠤⠤⠤⠼⠤⠤⠬⠇⠀⠀⠧⠤⠥⠰⠤⠤⠤⠤⠬⠆

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⢦⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⣿⢿⣼⢶⡷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢀⣰⣯⣸⣶⡀⣽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢤⣀⡀⠀⠈⢉⣿⣷⣼⣿⡍⠉⠀⠀⣀⣠⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⢀⣤⣤⣀⣴⣟⣻⡿⣿⣿⣭⣳⣤⠋⡽⣧⣨⡿⡙⢦⣴⣿⣿⣿⢾⣟⣛⣶⣀⣠⢤⣄⢀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣿⣾⠿⠿⣿⢿⣿⣿⣫⣾⡉⠙⢿⣿⣿⣾⣦⣽⣻⣠⣷⣿⣿⣿⠟⠉⣱⣌⢿⣟⡝⢿⠿⠿⣿⣾⣧⡀⠀⠀⠀ ⠀⠀⣶⣿⣼⡟⠁⠀⢰⢳⣿⣿⢷⣿⣷⣽⣶⡄⠙⣿⡟⢧⠄⢑⣼⠋⣿⠟⠁⣴⣾⣵⣿⡞⣿⣿⡞⢇⠀⠀⠙⣷⣽⣳⡄⠀ ⠀⢠⠟⣽⡟⠀⠀⠀⡎⢘⡟⠈⢸⣶⣿⡿⠙⢿⣶⠈⢷⠘⣿⢻⡇⢼⠃⣴⣾⠟⠹⢿⣶⡇⢳⢸⡘⢸⠀⠀⠀⠘⣿⡹⣧⠀ ⢴⣹⣿⡿⠀⠀⠀⣰⣇⢸⣿⠒⣾⡒⠛⠛⠶⣄⡙⢷⣾⣴⣷⣮⣧⣾⡾⠛⣡⣾⠟⠛⠓⣆⠏⣞⡿⢸⣧⡀⠀⠀⢹⣧⣏⣳ ⠈⣯⢸⡇⢀⡴⣮⣵⣾⡄⡹⡄⠹⣷⣄⡘⣿⣷⣶⣦⣽⣷⣿⣸⣿⣯⣤⣶⣶⣿⠟⣠⣼⡟⢀⡞⣤⣾⣦⣝⠢⡀⢘⣿⢸⡇ ⢠⣿⡜⣿⡋⣰⣿⣿⣿⣿⣿⣿⣄⠀⠻⣿⣾⣿⣿⣿⣿⡏⣁⣁⡙⣿⣿⣿⣿⣿⣿⡟⠁⢠⣾⢿⣿⣿⣿⣿⣧⡈⣿⡟⣾⡇ ⠈⠹⣷⣄⣹⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⢾⣿⣿⣿⣿⣟⡸⡿⣿⡿⣹⣿⣿⣿⣿⡯⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⢁⣶⡟⠁ ⠀⠀⡇⢹⣿⡙⡻⠿⣿⣿⣿⣿⣿⣝⣿⣦⡙⢿⣿⣿⣩⢦⠞⠓⣤⢏⣹⣻⣿⠋⣠⣿⣿⣿⣿⣿⣿⣿⠿⠛⣋⣹⡧⢉⠀⠀ ⠀⠀⠙⢶⣿⣿⣿⣴⣼⠏⢿⣿⣿⠿⣿⡈⡿⢯⡽⣿⣉⡷⣶⣶⢿⣏⣻⠿⣥⢾⣏⣿⠿⣿⣿⣿⠉⣧⣤⣼⣿⣿⣷⠟⠀⠀ ⠀⠀⠀⠀⠻⣏⡿⠿⣏⡗⣠⣯⣿⣿⣟⣛⣿⣿⣿⣭⣽⣿⣷⣾⣿⣿⣯⣽⣿⣿⣛⣛⣿⣿⣿⣅⣬⣝⡿⢿⣋⡽⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⣶⢶⣮⣧⣶⣿⣿⣿⡟⢩⣭⣝⢸⣤⣶⣞⢹⣶⣤⣿⣿⣭⣍⠹⣿⣿⣿⣶⣾⣯⡷⣶⡞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⠿⣿⣺⣿⣿⠿⠷⠿⠟⠹⠛⠛⢿⠛⠛⠻⢛⠛⠿⠻⠿⠷⠿⢿⣿⣟⣲⠿⢿⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣤⡿⠟⢋⣁⣤⣴⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣄⣉⠛⠿⣦⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡋⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠪⢟⣻⠿⢿⣿⣿⠻⠿⠿⠻⠿⠿⠿⠿⠟⠻⠿⠿⣿⣿⡿⠿⣿⣿⠷⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠛⠓⠒⠒⠶⠤⠤⠤⠤⠤⠤⠴⠖⠒⠚⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢀⣤⠶⢞⠉⢉⡽⠁⠈⡗⠶⢤⣀⠀⠀⠀⠀ ⠀⢀⡴⢻⠁⠀⢼⠉⠀⢰⠀⠀⡷⢄⠀⠹⠷⡄⠀⠀ ⠀⡎⡀⠼⠉⠀⢨⠤⠐⢸⠀⠠⣧⠀⠈⡟⠄⣘⡄⠀ ⠸⣿⡀⠀⠧⠊⠀⠆⠀⣸⡀⢀⠀⠀⠲⠀⠀⣼⣱⠀ ⣶⣿⣿⣎⡀⢡⠄⠚⠁⢸⠀⠙⠂⣴⠁⣠⣾⣿⣿⡄ ⣿⣿⠈⠛⢿⣥⡐⡤⢓⢹⢁⠣⡔⣠⣿⠟⠋⢸⣿⡇ ⡏⣿⠀⠀⠀⠙⢿⣦⣾⣽⣽⣮⣾⠟⠁⠀⠀⢸⡿⡇ ⢹⠿⣧⠀⠀⠀⠀⣹⣿⣿⣿⣿⡁⠀⠀⠀⢠⣿⢿⠃ ⢸⣇⠻⣷⣤⣤⣾⡿⢻⢽⠼⠻⣿⣦⣤⣴⡿⠇⣿⠀ ⠈⡏⢢⡨⠛⢉⡔⠉⠆⢠⠄⢓⠉⢢⡝⠛⢤⠊⡎⠀ ⠀⠘⣼⠁⢠⠊⠈⡾⠠⢠⡠⠔⠏⠀⢱⡄⢉⡾⠀⠀ ⠀⠀⠈⢲⣾⠀⢰⠅⠀⢈⢀⡀⠼⠎⢁⣷⡝⠁⠀⠀ ⠀⠀⠀⠀⠙⢌⢺⠄⢀⠈⢁⣀⠤⣟⡵⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠂⠤⠬⠭⠤⠚⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠴⠚⠛⠉⠉⠈⠉⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠖⡟⣿⢾⠷⠖⠒⠒⠒⠒⠒⠒⠒⠲⠶⠤⢤⣀⡀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠘⠟⠁⣼⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠦⢄⡀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⣠⠇⡾⠒⠒⠒⠒⠒⠒⠛⠒⠒⠒⠒⠤⣤⣀⠀⠀⠀⠀⠉⠳⣤⡀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡾⣿⣀⣀⠴⢃⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠷⠶⠶⠒⠒⠚⠉⠉⠉⠉⠉⠉⠙⠳⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡴⠋⠀⠘⢦⠤⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀ ⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠈⢳⡦⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡤⠤⠴⠶⣶⠶⠶⠶⠤⠤⢄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀ ⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⣸⣿⠟⠁⢀⣴⣤⣄⣴⡇⠈⢧⣄⠀⠀⠀⠀⠀⠀⠉⠙⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀ ⢠⠏⠀⠀⠀⠀⠀⠀⠀⣀⣴⡋⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠀⢰⣿⣿⣿⣽⣿⡇⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠿⠿⠶⣄⡀⠀⠀⠀⠀⠀⠀⡸⠻⣽⣿⣿⣿⠃⠀⠀⠀⠀⠈⢛⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇ ⢸⡀⠀⠀⠀⠀⠀⣼⠃⠘⢿⣄⠀⣤⣤⣬⣿⣄⠀⠀⠀⠀⠀⢧⡀⣀⣿⠿⠋⠀⠀⠀⠀⠀⣰⠋⠀⠀⠉⠛⣷⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠘⣧⠀⠀⠀⠀⠀⣇⠀⠀⠀⣹⣾⣿⢿⣿⣿⣿⣆⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧ ⠀⠈⢷⣄⠀⠀⠀⠈⠁⠀⠀⠀⠉⢿⢾⣺⣿⣻⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠙⠳⢤⣀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⣄⠀⠀⢠⡿⣄⠀⠀⠀⠈⠧⣄⠀⠂⠀⠀⣀⣾⡆⠀⠀⠀⢉⡷⢦⣤⣤⣄⣀⣤⡴⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⡞⠀⠘⢷⣀⠀⠀⠀⠀⣠⢴⣯⢟⡿⣸⠁⠀⠀⢀⡾⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠉⠳⠤⣔⡛⢻⣗⠒⢋⡰⠃⠀⠀⣠⠟⠁⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⣀⣤⠟⠳⣭⡉⠉⠀⠀⣀⡴⠃⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⢾⠋⠉⠁⠀⠀⢀⣀⣽⠛⠒⠋⠁⠀⠀⠀⠀⠀⠸⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠛⠓⠶⢤⣠⡞⣍⣦⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡌⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⣤⠖⠋⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠁⣸⠟⠚⠛⠓⠒⠲⢦⣄⠀⠀⢀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⢹⠞⠁⠀⠀⠀⠀⣀⠀⠀⠀⠀⢸⡄⠘⣆⠀⠀⠀⠀⣀⣀⡤⠶⠒⠉⠁⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠙⢷⣠⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡴⠛⠁⠀⠘⣧⡀⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⢧⠀⠘⠛⠛⠛⠉⠁⠀⢀⣠⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣟⠀⠀⠀⠀⠀⠈⠳⣄⢀⣰⠏⠀⠀⠀⠀⠀⠀⠈⢷⣤⣤⠤⠴⠒⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀ ⠀⢀⡾⢻⡀⠀⠀⠀⠀⠀⠀⣼⠟⠉⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠤⠿⣄⣀⠀⠀⠀⠀ ⠀⠉⠀⠀⠙⠀⠀⠀⠀⠀⠘⢃⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠁⠀⠀⠀⠀⠀⠉⠛⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⠟⠋⠉⠉⠙⠻⣿⣿⠟⠋⠉⠉⠛⢿⣿⣿⣿⣶⣦⣄⡀⠀⠀ ⢸⣿⣿⣿⣿⣿⡏⠀⢰⣾⣷⣄⣀⣹⡇⠀⢰⣾⣷⡀⠀⢹⣿⣿⣿⣿⣿⣿⣦⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⠀⠀⢿⣿⣿⡇⠀⢸⡟⢉⣉⠙⣿⣿⣿⣧ ⢻⣿⣿⣿⣿⣿⣇⠀⠘⠿⠿⠁⠀⣽⣇⠀⠘⠿⠿⠁⠀⣼⣿⠟⠁⣤⣿⣿⣿⣿ ⠘⢿⣿⣿⣿⣿⣿⣷⣤⣀⣠⣤⣾⣿⣿⣷⣤⣀⣠⣤⣾⣿⣧⣀⣀⣀⣿⣿⣿⡏ ⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀ ⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣶⣶⣶⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⡿⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀ ⠀⣾⣿⣿⣿⣿⡟⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⢠⣿⣿⣿⣿⣿⣧⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⢸⣿⣿⣿⣿⣿⣿⣦⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠘⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠈⠻⢿⣿⠟⠉⠛⠿⣿⣿⣿⣿⣿⣿⠃ ⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡿⠀ ⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣴⣾⣿⣿⣿⣿⡿⠁⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀ ⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀ ⠠⠛⠛⠛⠉⠁⠀⠈⠙⠛⠛⠿⠿⠿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣿⣄⣸⣷⢀⣀⣼⠞⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣟⣿⣿⣻⣽⣾⣧⣴⣿⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣟⣿⢿⣿⣷⣿⣿⡿⣿⡀ ⠀⠀⠀⠀⠀⠀⢀⣴⣞⣿⣿⣶⣛⡠⢫⢿⢿⣿⣿⣿⣿⣿⡟⠁ ⠀⠀⠀⠀⠀⣰⣿⡿⠋⠀⠉⠉⠻⢽⣧⣅⠠⡉⠻⡻⣿⣿⠁⠀ ⠀⠀⠀⢀⣾⡿⡿⠀⠀⠀⠀⠀⠀⠀⠙⠻⣵⣎⡀⠐⢬⣿⡄⠀ ⠀⠀⢀⣾⢯⢃⡇⠀⠀⠀⢀⣠⡴⠶⠤⠀⠀⠻⣷⣾⣾⢿⣷⠀ ⠀⠀⣼⡎⡮⣼⣟⣷⣢⡀⠉⣷⢾⣿⡶⠂⠀⠀⢻⣿⣿⣷⣼⡄ ⠀⣸⡿⣹⣅⣿⣿⠏⠛⡁⠀⠀⠈⠉⠀⠀⠀⠀⠀⠈⢻⣻⣛⠇ ⢀⣿⣱⣷⣿⣿⣿⡀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣯⣺⡄ ⠈⠉⠉⠉⠉⠉⠉⠁⠀⠓⠛⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⣴⣶⡆⠀⠰⣯⠆⠀⢠⣶⡦⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⠀⠘⡾⣅⣀⣼⡿⣦⣤⣶⣭⣶⣤⣶⣿⣁⡸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢸⡥⣜⣷⣿⡿⡾⢏⣩⣟⣛⠻⣿⣿⣿⣯⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢻⣿⠛⣯⣓⣃⣴⣻⣾⣵⣯⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢗⠺⣵⣾⣵⠿⠛⣷⢾⣿⣿⣿⣻⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡺⠟⣉⣠⣴⣯⣾⣿⣿⡿⠃⠙⠿⢿⣿⣿⣿⢿⣷⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣿⣾⣿⣻⣻⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠟⠁⢚⣻⣿⣟⢿⡦⠀⢠⣴⣿⣿⣟⡛⢾⣯⣽⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⣸⣿⣿⣷⣿⠀⠀⠹⣽⣿⣟⣧⠀⠀⠘⣿⠛⣿⣏⡟⠸⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⢻⣿⣝⣿⣿⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠘⠀⠉⠁⠀⠀⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡞⢺⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠰⡄⠀⠀⢠⣿⣿⣿⣽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣭⣟⢿⣆⠀⠀⠀⠀⠀⠀⠙⠲⠖⠋⠀⠀⣰⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡿⣻⣷⣿⣿⣧⠀⠀⠀⠀⢲⡤⢶⣴⠶⣶⠋⢩⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢇⣿⣿⣿⣿⣿⠳⣄⠀⠀⠀⠈⠓⠚⠉⠁⢰⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠟⢹⣿⣿⡿⠀⠈⠑⠢⢄⣀⣀⣀⣠⣴⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣿⢿⣿⡇⠀⠀⠀⠀⠀⠈⠉⠉⢁⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣵⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⡿⣥⡀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠛⠀⠘⣗⣄⠀⠀⠀⠀⠀⠀⣾⢹⡦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣯⢧⠀⠀⠀⠈⠻⣕⣄⡀⠠⠀⠀⠘⢿⣿⣫⣷⣄⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⢿⣿⠻⣇⣈⢢⡀⠀⠀⠀⠈⠓⠿⣯⣶⣶⣞⣩⠇⠊⣯⣯⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡿⡟⢁⡅⠈⣻⣿⣿⣿⣷⡙⠦⡀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠸⣿⣿⣿⣿⣟⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠾⡿⢋⣞⣴⢞⠃⠀⠙⣿⣿⣷⣾⣿⣶⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣷⣷⣿⣿⣿⣆⢹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⢏⡞⢁⣿⣿⠃⣸⠀⢸⠀⣿⡟⣿⣿⣿⣼⣷⣌⠳⣄⣀⣀⣀⣀⣠⣤⣶⣿⣿⡟⠿⣿⣿⣿⣿⡆⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⢧⡿⠀⣼⣿⠇⠀⠇⠀⡏⢸⣿⡇⣹⣿⣿⣿⣿⢿⡆⠙⣟⣽⡿⢿⣿⣿⣦⣍⣃⣷⣾⣿⣿⣿⣿⣿⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣾⡇⢰⣿⡟⠀⢸⣾⡻⠀⣸⣯⡇⣿⡿⢿⣿⣿⣿⣿⣧⢝⣯⣬⣟⣩⣻⡇⢛⣿⡏⣋⣿⣿⣿⣿⣿⠀⢹⡟⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠀⣼⣿⡅⠀⣾⣿⠇⢠⣿⡿⢠⣿⣿⣿⣿⣿⣿⣟⣹⡀⠹⣿⠿⣍⣻⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣇⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⡄⣿⣿⠀⢰⣟⠟⢀⣾⡿⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢹⣴⣿⣿⣿⣾⣿⣰⣿⣿⣿⣿⣿⡟⢀⣹⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠱⣿⣯⢹⣤⡟⠌⣰⣿⡿⢁⣾⣿⣟⠹⣿⣿⣿⣿⣿⣿⣻⣅⣠⣴⣾⠟⣽⣯⣿⣿⣿⣿⠙⠛⠉⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⠉⠙⠓⣞⣿⢿⣷⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣸⡟⡿⣠⣷⣾⠃⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⢹⠃⠀⠞⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⡈⣿⠟⣿⣷⠗⠿⣿⡿⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢇⠀⠀⠀⠀⠠⠀⢸⢿⢸⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⢀⣾⠋⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⣸⣈⣧⣃⣞⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣇⣦⣿⣿⣟⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⣿⣿⣿⠻⢿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⣴⣮⣾⣽⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣿⣽⣽⣿⣯⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣶ ⠀⠀⠀⣠⣴⣾⣿⣿⡿⠿⠟⠛⠛⠻⠿⢿⣿⣿⣷⣦⣄⡀⠀⠀⠀⢀⣾⣿⡿⠃ ⢀⣴⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣶⣄⣴⣿⣿⠏⠀⠀ ⢿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⡁⠀⠀⠀ ⠀⠙⢿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⡿⠟⠻⣿⣿⣦⡀⠀ ⠀⠀⠀⠙⠻⣿⣿⣷⣦⣤⣤⣀⣀⣀⣤⣤⣴⣾⣿⣿⠟⠋⠀⠀⠀⠈⠻⣿⣿⣄ ⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⢿⣿⠿⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠟

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⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢶⠂⢈⡏⠀⢰⠶⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣄⣸⢷⣞⣻⣶⣏⠀⣰⠦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣻⣿⣿⣿⣿⣟⡿⠃⠀⠀⠀⠀⠀ ⠀⢀⡤⣤⠀⠀⠀⠉⠉⠉⠉⠃⠀⠀⠀⠀⢀⠀⠀ ⣰⡏⡞⠀⣧⣰⠀⡄⣴⣋⢟⡤⣠⣠⣄⠔⡽⠀⠀ ⢿⠀⠁⢰⡏⠿⢼⡇⣏⢀⠼⡉⠍⢼⠋⣼⠃⣧⠀ ⠈⣣⠤⣯⣄⣀⣈⠳⠌⠂⠶⠋⢍⣰⢸⡇⣰⠋⠀ ⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠿⠟⠛⠁⠀⠉⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⠉⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠓⢄⠀⠀⠀⠙⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⢀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠹⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣠⣤⣴⣶⣶⣾⣟⠟⠀⠀⠠⠃⢠⠎⠀⠀⠀⣰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠑⣟⢿⣷⣶⣶⣶⣤⣤⣀⠀ ⠀⠸⣿⣿⣿⣿⣿⡿⢻⠋⠀⠀⠀⠁⡰⠃⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢶⡀⠀⠀⠀⠈⢺⠛⣿⣿⣿⣿⣿⣿⠃ ⠀⠀⢿⣿⣿⣿⡿⢳⠃⢀⡀⠀⠀⡼⠁⠠⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠑⠄⠀⠳⡛⢿⣿⣿⣿⡟⠀ ⠀⠀⢸⣿⣿⣿⣤⡇⠃⠀⠀⠀⢰⠃⠀⢡⡎⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢱⡄⠀⠀⠀⠀⢱⢸⣿⣿⣿⠃⠀ ⠀⠀⠀⣿⣿⢫⡟⠸⠀⠀⠀⠀⡏⠀⠀⡎⠀⠀⣸⡀⠀⠀⠀⠀⠀⠀⣄⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠈⢦⠀⠀⢫⡹⣿⡟⠀⠀ ⠀⠀⠀⢸⣿⣿⠁⣏⠀⠀⠀⢸⠁⠀⡸⠀⠀⣼⠟⡇⠀⠀⠀⠀⠀⠀⠘⣼⡆⠀⠀⠈⣧⠀⠀⠀⠀⠀⠘⡆⠀⠀⢧⠀⠀⢻⣿⠃⠀⠀ ⠀⠀⠀⠀⣿⠇⠀⠮⠀⠀⠀⡏⠀⠀⡇⠀⡰⠧⠤⠼⡀⢰⠀⠀⠀⠀⠀⠸⣿⣦⠀⠀⠘⣧⡀⠀⠀⠀⠀⠹⡀⠀⠸⡄⠀⠈⢿⣄⠀⠀ ⠀⠀⠀⢠⡟⡄⠀⡳⠀⠀⢰⠇⠀⣼⠁⡰⢁⣀⣀⠀⠹⡄⢣⠀⠀⠀⠀⠀⠙⣌⠛⠦⡀⠱⡙⢦⡀⠀⢣⠀⢣⠀⠀⢇⠀⠈⢏⣏⠛⢖ ⠀⠀⢠⢳⠃⡇⠀⢑⠀⠀⢸⠀⡜⢉⣦⣯⡵⠶⢦⣌⠐⠜⢄⠳⣄⡀⠀⠀⠀⠈⢲⣈⣭⣵⣿⣑⠳⣄⠈⡇⠘⡆⠀⢸⠀⠀⢸⠘⡆⠀ ⠀⣠⠃⡞⠀⢱⠀⢸⠀⠀⢸⡜⢠⣿⠟⢁⠐⢿⣷⣌⢳⡀⠀⠑⠸⠯⠉⠑⠒⢢⡟⠁⠘⣿⣶⡍⠻⣬⡷⣧⠀⢳⠀⠨⡄⠀⢈⠆⢹⡀ ⡜⠁⣼⠇⠀⠈⡆⠈⡆⠀⢸⠐⣾⠃⠀⣿⡖⣶⡽⣿⠀⣧⠀⠀⠀⠀⠀⠀⠀⣾⠀⣷⣶⣷⣹⣿⠀⢹⡾⢾⢀⣾⡀⠀⡇⠀⢸⠀⠀⢣ ⣠⡾⢼⡁⠀⠀⠹⡄⢱⠀⢸⠐⣻⠀⠀⣿⣏⣿⣧⢿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⣿⢿⣿⢿⣻⠀⠀⡷⠞⠉⣯⡇⢀⡇⠀⣸⠀⠀⠘ ⣿⡝⣾⠀⠀⠀⠀⢳⠈⢇⠸⡀⠹⡄⠀⠘⢇⣐⡨⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣔⣂⡸⠃⠀⢸⠓⠂⢰⢿⡇⢰⠀⢀⡇⠀⠀⠀ ⣷⣛⣼⠀⠀⠀⠀⠀⠣⡈⢆⢇⠀⠈⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡄⠋⠁⢀⡷⢫⣗⡸⠀⡼⠀⠀⠀⠀ ⢷⣝⣾⡄⠀⠀⠀⠀⠀⠑⣌⢾⡀⠀⠀⠀⠀⠀⠀⣠⡖⠒⠒⠒⠒⠒⠒⠒⠒⠦⠤⣄⠀⠀⠁⠁⠀⠀⠀⡜⠛⣫⣷⠃⡼⠁⠀⠀⠀⠀ ⠸⣿⣸⣇⠀⠀⠀⠀⠀⠀⠀⢣⣇⠀⠀⠀⠀⠀⢸⣿⡿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠿⣿⡇⠀⠀⠀⠀⠀⢸⣧⢿⢿⡟⡸⠃⠀⠀⠀⠀⢀ ⣧⠘⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⢠⡿⣼⡹⣾⡟⠁⠀⠀⠀⠀⠀⢸ ⠈⠁⠈⠻⡽⡄⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠓⢦⡀⠀⠀⠀⠀⠀⢀⡠⠞⠁⠀⠀⠀⢀⣴⣟⡳⢧⣻⡽⠀⠀⠀⠀⠀⠀⢀⡯ ⣿⣶⣤⣄⣹⡽⣆⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠈⠓⠒⠒⠒⠚⠉⠀⠀⠀⢀⣠⣴⢯⡳⣞⣿⣷⣹⡇⠀⠀⠀⠀⠀⢀⣾⢳ ⣿⣿⣿⣿⣿⣿⣯⠷⣄⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣒⣦⢤⣤⣠⣀⣄⣠⣤⣤⣴⣶⢻⡽⣻⣮⣗⣻⢼⣻⡟⢾⡇⠀⠀⠀⠀⢀⡾⣭⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣽⣳⢦⣀⠀⠀⠀⠀⠀⠹⡏⠁⠉⠓⠦⣉⡉⠛⣙⣩⠵⢚⠩⠳⣽⣽⣼⣿⣾⣷⣷⣿⣿⠆⠀⠀⠀⣠⣾⣻⣾⣿

⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢆⠀⠀ ⠀⠀⠀⡏⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⠸⠀⠀ ⠀⠀⠀⡇⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⢀⡇⠀⠀ ⠀⠀⠈⡷⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⢘⠇⠀⠀ ⠀⠀⢰⣇⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⢀⡼⠀⠀⠀ ⠀⠀⢀⡏⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⣠⠾⠋⠀⠀⠀⠀⠀⠀⣸⠂⠀⠀⠀ ⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀ ⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⢘⠃⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀ ⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⡼⠓⠉⠁⠛⢄⠀⠀⠀⠀⠀⠀⠈⢻⡀⠀⠀⠀⠀ ⠀⣽⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⡿⠋⠉⠐⠺⣇⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀ ⠀⢱⡀⠀⠀⠀⠀⠀⣼⣿⣿⠿⠀⠀⠅⠠⢠⣼⠂⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀ ⠀⢹⡀⠀⠀⠀⠀⣰⣿⣿⠋⠀⠀⢀⡤⣩⣿⡟⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀ ⠀⠸⡄⠀⠀⠀⣴⣿⣿⣿⣦⣤⣬⣴⣿⣿⣯⡀⠀⠀⠀⠀⡸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⢀⣤⣾⣿⢻⡏⢿⣿⣿⣿⣿⣿⣿⣸⣟⣷⣄⣀⡜⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⢿⣿⣿⡈⣷⣼⡿⠛⠋⠉⠉⠉⠙⠻⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⣿⣿⠦⠤⠽⠿⠛⠁⠀⠀⢀⣤⠠⠅⠂⢠⣾⡟⠉⠛⢷⣄⠀⠀⠀⠀⠀⠀ ⣾⣤⠠⠇⠉⡡⣤⣤⣄⠀⠀⠀⠘⠯⣽⡆⠀⣼⣿⣧⣟⣸⣴⣿⠇⠀⠀⠀⠀⠀ ⠻⣿⣧⣀⣴⢾⣿⣿⣿⣿⣶⣦⣤⣤⣥⣤⣶⣿⠿⠿⡿⠿⠿⠟⠀⠀⠀⠀⠀⠀ ⠀⠳⠶⠄⠶⣿⣿⠟⠉⣿⠸⣿⣿⣿⣿⡟⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⢃⡴⠁⣿⢃⢿⣿⣿⣿⠇⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⢣⡿⢀⠀⣿⠸⡞⣿⣿⡿⣸⡟⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣧⣿⠃⣿⠀⢹⣆⢹⣮⣭⣵⡿⠁⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⡏⢸⡏⠀⠸⣿⣦⣈⡉⢉⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣇⣿⡇⠀⠀⢿⣿⣿⣿⡟⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⡇⣸⣄⠈⢿⣿⠟⠁⢠⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⡇⢻⣿⣦⣀⣀⣀⡀⣼⣿⣿⣿⣿⡏⠘⣯⣝⡳⣦⣀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣷⢸⣿⣿⣿⣿⡿⣸⣿⣿⣿⣿⣿⠀⢰⣌⣿⡟⣆⢻⡇⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⡘⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡏⣸⣼⣿⡿⣹⣿⡀⠙⣄⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⡷⣌⣛⣛⣛⠻⣿⣿⣿⣿⣿⣧⣿⣿⣿⣷⡘⣻⠍⡄⣿⣧ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣾⡟⣿⣿⣿⣦⡙⢿⣯⡛⠿⡇⣿⣿⣿⣿⡟⠀⣿⣿⠏ ⠀⠀⠀⠀⠀⠀⣿⠸⣿⣿⣧⣙⡛⠿⣿⣿⣦⡻⣿⣶⣴⣿⣿⣿⣿⢠⡏⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⢿⡆⢿⣿⣿⣿⣿⣷⣶⣯⣿⣷⣝⢿⣿⣿⣿⣿⣿⡿⣳⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⢷⣝⡻⢿⣿⣧⠻⡿⣡⣴⣶⣾⣿⣿⣿⣿⣭⣾⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⣍⠻⣷⣴⣿⣿⣿⣿⣿⠟⠉⠉⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠮⣍⠩⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⣀⡤⠖⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⠲⢤⡀⠀⠀⠀ ⠀⣠⡾⠋⠒⢰⠟⠛⢛⣿⣧⡞⠉⠀⠀⠀⠀⠀⣴⣶⣤⣠⣶⠏⠀⠀⠉⢶⣄⠀ ⣰⣏⡀⠀⠀⠀⠀⠀⢾⣿⣿⠟⠃⠀⠀⠀⠀⠀⣻⣿⣿⡏⠀⠀⠀⠀⠀⠤⣽⣧ ⣿⣏⣀⡴⠀⠀⠀⠀⠀⠙⠿⣅⣤⠀⠒⠒⠄⢀⣿⣿⣿⠃⠀⠀⠀⢀⠰⣄⣼⣿ ⠘⣿⣿⣠⣎⣠⠀⢀⠀⠀⠀⠈⣿⠀⢀⣀⠀⢸⣿⣿⣿⠃⢰⣄⠀⣤⣷⣽⣿⠃ ⠀⠈⠙⠻⢿⣇⡔⠜⠀⠴⠀⢸⢿⠂⠀⠀⠀⣠⣿⣿⣟⣠⡘⠇⢣⣼⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠰⣄⣠⠀⡸⢠⡀⠀⠀⠀⠨⣿⣿⣿⣿⡿⠒⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣬⡝⡛⠛⣿⣗⠀⠀⠀⢺⣿⡟⢉⣁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⠃⡇⢠⣿⣯⠀⠀⠀⣿⣿⠃⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣿⠘⣿⣿⠀⠀⣸⣿⠏⣰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⢳⣽⣿⠀⠀⣿⠿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠚⣿⣿⠇⠀⣿⠀⠿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢰⢿⣿⠆⣊⣿⠤⠄⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣇⣈⡘⢻⣿⣿⠛⢋⣁⣸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠠⣿⣄⣈⡡⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣀⣼⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠋⠀⠀⠀⣀⣠⣤⣤⣶⡖⢲⣦⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣇⠀⠀⣰⣾⡿⠟⠛⠛⠛⠳⠾⠟⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣦⣸⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣆⠀⣤⣾⣿⣿⣷⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠈⢻⣿⡦⠤⣄⡀ ⠀⠀⣠⣶⣿⣿⣿⣿⣷⣦⡀⠀⠙⢿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠻⠧⠴⠿⠿ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠸⣿⡿⠛⠛⢻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀

⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡽⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠸⣇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⣿⣤⣄⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠀⠀⠀⣴⠶⠂⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⣿⠀⣿⠀⠀⠀⠀⠀⠀⢹⣄⣿⡀⠀⠀⣴⠿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠶⠿⠶⠿⠶⠶⢶⡄⠀⠀⢸⡏⠉⠙⠛⠛⠻⠶⠿⢦⣄⠀⠀⠀ ⠀⠀⣠⣿⠶⠶⠶⢦⣄⡀⢸⣇⣀⣀⣸⡇⠀⢀⣀⣀⠀⠀⠀⣀⣘⡇⠀⠀ ⠀⠸⣧⣤⠶⠶⠶⢦⣌⠛⢾⡏⠉⠉⠉⠁⠀⢈⣉⣉⠀⠀⠀⣿⣩⡇⠀⠀ ⠀⣼⠋⠀⠀⣀⠀⠀⠙⢷⡈⢷⡶⠶⢦⡄⠀⠈⠉⠁⠀⠀⣀⣨⣭⣇⠀⠀ ⢸⡇⠀⢠⡟⠉⢻⡄⠀⠘⡇⢸⡷⠶⠾⢷⡄⠀⠀⠀⢠⡟⠉⣀⡈⠙⢷⡀ ⠸⣇⠀⠀⠛⠶⠟⠁⠀⣸⣇⣸⠷⠶⠶⠾⠷⠶⠶⠶⣿⠀⢸⣏⣿⠀⢸⡇ ⠀⠙⢷⣄⣀⠀⣀⣠⡴⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣀⡈⢁⣠⡾⠁ ⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀

⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀ ⠀⢀⡴⠋⠙⢷⣄⠀⣠⠞⠋⠻⢦⡀⢀⡴⠟⠙⠳⣄⠀⣠⡾⠋⠙⢦⡀⠀ ⠀⢸⡇⠀⠀⠀⣿⠀⣿⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⣿⠀⣿⠀⠀⠀⢸⡇⠀ ⠀⢸⡇⠀⠀⠀⣿⠀⣿⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⣿⠀⣿⠀⠀⠀⢸⡇⠀ ⢸⣟⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣻⡇ ⠈⢹⡏⠉⠉⠉⣿⠉⣿⠉⠉⠉⢹⡏⢹⡏⠉⠉⠉⣿⠉⣿⠉⠉⠉⢹⡏⠁ ⠀⢸⡇⠀⠀⠀⣿⠀⣿⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⣿⠀⣿⠀⠀⠀⢸⡇⠀ ⠀⢸⡇⠀⠀⠀⣿⠀⣿⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⣿⠀⣿⠀⠀⠀⢸⡇⠀ ⢀⣼⣧⣤⣤⣤⣿⣤⣿⣤⣤⣤⣼⣧⣼⣧⣤⣤⣤⣿⣤⣿⣤⣤⣤⣼⣧⡀ ⠸⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⠇ ⠀⢸⡇⠀⠀⠀⣿⠀⣿⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⣿⠀⣿⠀⠀⠀⢸⡇⠀ ⠀⢸⣇⣀⣀⣀⣿⠀⣿⣀⣀⣀⣸⡇⢸⣇⣀⣀⣀⣿⠀⣿⣀⣀⣀⣸⡇⠀ ⠀⠀⠉⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠀⠀⠉⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠀⠀

⠀⠀⣠⣴⣾⣿⣿⣿⣿⣶⣤⡀⢀⣠⣤⣤⣄⡀⢀⣤⣶⣿⣿⣿⣿⣷⣦⣄⠀⠀ ⢀⣼⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣧⡀ ⣸⣿⡟⢡⣶⣶⣤⣽⣿⣿⣿⣿⣿⣧⣤⣤⣼⣿⣿⣿⣿⣿⣯⣤⣶⣶⡌⢻⣿⣇ ⣿⣿⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣿⣿ ⢻⣿⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣿⡟ ⠘⢿⣧⠀⠀⢀⣽⣿⠟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⣿⣯⡀⠀⠀⣼⡿⠃ ⠀⠈⠻⣷⡀⣾⣿⣇⠀⠀⠙⠋⢸⣿⣿⣿⣿⡇⠙⠋⠀⠀⣸⣿⣷⢀⣾⠟⠁⠀ ⠀⠀⠀⠀⠀⠉⠛⣿⣧⠀⠀⠀⠘⠿⣿⣿⠿⠃⠀⠀⠀⣼⣿⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⢀⣤⣤⣤⣀⣀⣤⣤⣤⡀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠉⠀⢉⣉⣉⡉⠀⠉⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⣦⣀⣠⣾⣿⣿⣷⣄⣀⣴⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⢿⡿⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢸⣏⣿⡂⣿⠀⠀⠀⣰⣧⠀⣴⠋⠙⠀⣿⣼⡃⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣀⠀⠸⠷⠾⠃⠿⠶⠆⠸⠛⠛⠷⠙⠳⠶⠂⠿⠘⠷⠄⢠⣤⣤⣄⡀⠀ ⢸⡏⠈⢻⡇⢸⣧⠀⢸⣧⠀⣿⠘⢻⣿⠛⢸⣿⠀⣿⡇⢸⡟⠛⢸⣿⠀⠙⣿⡄ ⢸⣧⣠⡿⠃⡿⣿⡀⢸⣿⣆⣿⠀⢸⣿⠀⢼⣿⠶⣿⡇⣾⣷⠆⢸⣿⣠⣼⠟⠀ ⢸⡏⠀⠀⣸⣇⣻⡇⢸⡏⣿⣿⠀⢸⣿⠀⢸⣿⠀⣿⡇⢸⡇⠀⢸⣿⠸⣿⡀⠀ ⢸⡇⠀⠀⣿⠋⢹⣿⣸⡇⠘⣿⠀⢸⣿⠀⢸⣿⠀⣿⡇⢸⣧⣤⢸⣿⠀⢹⣷⡀ ⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠉⠁

⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢠⣾⡿⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣤⣤⣿⣿⣶⣶⣶⣶⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣼⣿⡟⠛⠋⢀⣼⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⣠⣾⣿⣿⠁⠀⢀⣾⣿⣿⣿⣿⢿⣶⣄⠀ ⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢀⣾⣿⣿⣿⣿⡁⠀⠈⣿⡇ ⠀⣰⣿⠿⠋⠉⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⣾⣿⣿⣿⣿⣿⣿⣶⣶⠟⠁ ⢸⣿⡏⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠹⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀ ⢿⣿⣶⣶⣤⣴⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠉⠉⠉⠉⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀ ⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣼⡿⠋⠉⠉⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⣤⣾⠇⠙⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠩⠟⠛⠀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠟⢛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⠟⠋⠉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⠉⠙⠻⢆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣧⣶⣶⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣇⠀⠀⠀⠀ ⠀⠀⣠⣾⣿⣿⣿⣿⡟⠛⠋⠉⠉⠉⠉⠉⠉⠙⠛⢻⣿⣿⣿⣿⣷⣄⡀⠀ ⣰⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣆ ⠹⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⠏ ⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⠐⠁⠀⠀⠀⠀⠀⠀⠑⠠⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠊⠁⠀⠀⠀⠀⠀⣀⡀⠀⣀⣀⡀⠈⢢⠀⠀⠀⠀ ⠀⠀⠜⠀⠀⠀⠀⡀⠔⠊⠁⠀⠀⠀⠀⠀⠀⢁⡺⡀⠀⠀⠀ ⠀⡌⠀⠀⠀⢀⠊⠀⠀⠀⠠⡐⠈⢀⠀⠀⠀⠠⠂⠈⠁⠀⠀ ⢠⠀⠀⠀⢠⠁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠄⠀⠁⠀⠀⠀⠂⠐ ⢸⠀⠀⠀⡄⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢸⠀⢂⠀⠀⠀⠀⣰ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠂⠀⠀⠪⠀⠀⠈⢸ ⠀⢄⠀⠀⡇⠀⠀⠀⠀⠀⠈⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠠⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠆ ⠀⠀⠀⠁⠚⠢⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠁⠀⢀⠊⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠒⠒⠂⠀⠉⠀⠀⠀⠀⠀⠀

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⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀ ⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡖ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀ ⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀ ⠀⠀⠀⠀⠙⠛⠻⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠛⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀

⠀⠀⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣠⣤⣴⣶⣶⣶⣿⣷⡄ ⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⣠⢶⣫⠿⠚⠉⠉⠉⠙⠲⣝⣦⣠⠾⠛⠋⠉⠙⠻⣵⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡕⠋⠀⠀⣀⣠⣤⣤⣤⣄⣀⠹⡆⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀ ⠀⠀⢠⠏⠀⠀⢴⠊⠁⠀⠀⠀⠀⠀⠉⠓⢿⡒⠀⠀⠀⠀⠀⠀⠒⠌⠳⣄⠀⠀ ⠀⢀⠏⠀⠀⠀⠀⠀⢀⡤⢴⠛⠉⠉⠉⠉⠉⠙⢳⣤⠴⠚⠛⠉⠉⠉⠑⠛⢷⡄ ⠖⠉⠀⠀⠀⠀⣴⠚⠛⠛⠛⢻⣿⣿⠛⠛⠛⣻⠏⠸⡛⠛⣿⣿⡗⠀⠀⠀⠈⢻ ⠀⠀⠀⠀⠀⠀⠘⠓⠒⠒⠒⠚⠛⠛⠒⠒⣲⠃⠀⠀⠘⡗⠛⠚⠃⠀⠀⠀⠀⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⣤⠞⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⡟⠒⠒⠒⠒⢿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⢳⡀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠶⡶⠶⠶⣦⣴⠇⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⢀⣀⡤⢷⠀ ⠀⠀⠀⠀⠀⢰⡿⠀⠘⠛⠒⠶⠶⣾⠀⠀⠀⠀⠀⠀⣾⠒⠒⠒⠋⢉⣡⣤⡞⠀ ⠀⠀⠀⠀⠰⣤⡙⠛⠛⠛⠛⠛⠲⣿⣿⣶⣤⣤⣄⣰⣏⣉⣉⣉⣉⣁⣤⠟⠀⠀ ⣄⣀⣀⠀⠀⠀⠉⠀⠀⢀⣠⠶⣾⣿⡿⠿⣏⡀⠀⠀⠈⢉⡩⣿⠟⠉⠀⠀⠀⠀ ⠛⠿⣯⣭⣟⣛⡒⠤⠤⣼⠃⢨⣿⣿⠳⢤⣤⣗⣤⣴⡻⣧⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣀⡀⠩⣿⡛⠛⣿⠀⢼⣿⣿⡳⠤⣴⠏⠁⠀⠙⢷⡇⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠘⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⠀⠀⠹⣿⣆⠀⠈⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀⠘⣿⣧⡀⠀⢻⣿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⢻⣷⡀⠀⠘⣿⣷⡀⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠸⣿⣷⡀⠀⠹⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⢻⣿⣧⠀⠀⢹⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠈⣿⣿⣇⠀⠀⢿⣿⣧⠀⠀⠀ ⠀⠀⢀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⠀⠀⢻⣿⣿⡄⠀⠘⣿⣿⣇⠀⠀ ⠀⠀⣸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡄⠀⠸⣿⣿⣧⠀⠀⢻⣿⣿⡄⠀ ⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⣿⣿⣿⡀⠀⠸⣿⣿⣧⠀ ⠀⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⣿⣿⣿⡀ ⢀⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⣿⣿⣿⡇ ⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⣿⣿⣿⣧ ⢸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⠀⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⢠⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠈⠉⠙⠁⠀⣼⣿⣿⣿⠀⠀⢰⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡏⠀⠀⣸⣿⣿⣿⡟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠁⠀⢀⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢀⣴⣶⣶⣶⣦⡀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠇ ⢸⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢠⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⣿⣿⠇⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢸⣿⣿⣿⣿⡇⠀ ⠀⢹⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢸⣿⣿⣿⣿⠀⠀ ⠀⠈⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⡿⠋⠉⠙⠻⣿⣿⣿⡇⠀⢸⣿⣿⣿⠇⠀⠀ ⠀⠀⠸⣿⣿⣿⣿⠀⠀⢸⣿⣿⡟⠀⣠⣤⣄⠀⠘⣿⣿⣿⠀⢸⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⢹⣿⣿⣿⠀⠀⢸⣿⡿⠀⣰⣿⣿⣿⣷⡀⢹⣿⣿⠀⢸⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⡇⠀⢸⣿⡇⠀⣿⣿⣿⣿⣿⡇⠈⣿⣿⠀⣼⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣷⠀⠸⣿⡇⢸⣿⣿⣿⣿⣿⣷⠀⣿⡇⠀⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⡆⠀⣿⡇⠘⣿⣿⣿⣿⣿⡇⠀⣿⠇⡸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢹⣇⠀⢿⣿⣿⣿⣿⠇⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠻⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬛ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛🏻🏻⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬛🏻⬛⬛⬛⬛🏻🏻🏻🏻🏻⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬛🏻⬛⬛⬛🏻🏻🏻🏻🏻🏻⬛⬛⬛⬛⬛⬛⬛⬛ ⬜⬜⬛🏻🏻⬛🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜🟥🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜🌫️🟥🏻🏻🏻🏻🏻⬛⬛⬛🏻⬛🏽⬛⬛⬛⬜⬜⬜ ⬜⬜🌫️🟥🟥🏻🏻🏻⬛⬜⬜⬛🏻🏻🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬜🌫️🟥🏻🏻⬛⬛⬜⬜🏻🏻🏻🏽⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛🟨🏽⬛⬜⬜ ⬜⬛⬛⬛⬛🏻⬛⬛⬛🏻🏻🏻⬛🏽🟨🟨🟨🏽⬛⬜⬜ ⬜⬛🟪🏽⬛⬛🏻🏻🏻🏻⬛⬛🏽🟨🟨🏽⬜⬛⬜⬜⬜ ⬜⬜⬛🟪🟪🟦⬛⬛⬛⬛🟦🌫️⬜🏽🏽⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬛⬜🟦⬛⬛🟦🟦⬜⬜🟪⬜⬜⬛🟦⬛⬜⬜⬜ ⬜⬜⬛⬜⬜⬜🌫️⬜⬜⬜⬜🟪🟪⬛⬛🟦⬛🟦⬛⬜⬜ ⬜⬜⬜⬛🌫️⬛⬛⬛🟪🟪🟪🟪⬛⬛🟦🟦🟦🟦⬛⬜⬜ ⬜⬜⬜⬛⬛🟨🟨🟨🏽⬛⬛⬛🟪⬛⬛🟦🟦⬛⬛⬜⬜ ⬜⬜⬛🟦⬛🏽🏽🏽🏽🏽⬛⬜🟪⬛⬜⬛🟦🟦🟦⬛⬜ ⬜⬜⬛🟦⬛🟨🟨🟨🟨🏽⬜🟪⬛⬜⬜⬛🟦🟦🟦⬛⬜ ⬜⬜⬛⬛⬛🏽🏽🏽🏽🏽🟪⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛ ⬜⬛🟪🟪🏿🏿🏿🏿🏿🏿🏿🏿⬛⬜⬜⬜⬛⬜⬜🟪⬛ ⬜⬛⬛🟪⬛🏿🏿🏿🏿🏿🏿🟨🏽⬛⬜⬛⬛⬛🟪🟪⬛ ⬛🟪⬛⬜⬛⬜🟨🟨🏽⬜⬛⬜🟨🏽⬛⬜🟪⬜🟪⬜⬛ ⬛🟪⬛🌫️⬛⬜🏽🏽🏽🌫️⬛⬛⬜🌫️⬛⬜⬛⬜⬜⬜⬛ ⬛🟪🟪⬛⬛🌫️🟨🟨🏽🌫️⬛🟦⬛⬛🟦⬛⬛⬜🟪⬜⬛ ⬜⬛⬛⬛⬛⬛⬜⬜🌫️⬛🟦🟦🟦🟦⬛⬛⬛🟪⬛⬛⬜ ⬜⬜⬜⬛🟦🟦⬛⬛⬛⬛🟦🟦🟦🟦🟦⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬛🟦⬛🟦🟦⬛⬛⬛🟦⬛🟦🟦⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟦🟦🟦⬛⬜⬛🟦🟦🟦⬛🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟦🟦🟦🟦⬛⬜⬜⬛🟦🟦🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬛🟦🟦🟦🟦⬛⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜🟪⬛⬜⬜⬜⬛⬛⬛⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜🟪⬛⬜⬜⬜⬛⬜⬜⬜🟪🟪⬛⬜⬜ ⬜⬜⬛⬜⬜🟪🟪🟪⬛⬜⬜⬜⬜⬛🟪⬜⬜🟪⬛⬜⬜ ⬜⬛🏽🟨🏽⬜🟪⬛⬜⬜⬜⬜⬜⬛⬜🏽🟨🏽⬛⬜⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜

⬜⬜⬜⬜⬜⬜⬜🏿⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🏿🏿⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬛⬜🏿🏿🏿⬜🏿⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬛🟧🟧⬛🏿🏿🏿🏿⬛🏿⬜⬜⬛⬛🟧🟧🟧⬛⬜⬜⬜ ⬜⬜⬛🟧⬛⬛🏿🏿🏿⬛🏽⬛⬛⬛🟧🟧🏿⬛🟧⬛⬜⬜⬜ ⬜⬜⬜⬛⬛🏽⬛🏿⬛🏽⬛⬛🟧🟧🟧🏿⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟧⬛⬛🟧⬛⬛⬜🏽🟧🟧🟧🏿⬛🟧⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜🟧🟧⬜🟩⬜⬜🟧🟧🟧⬛🟧⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🟧🟧⬛🟩⬜🏽🟧🟧🟧🟧⬛⬜⬜⬜⬜⬜⬜ ⬛⬛⬜⬜⬛🟩🟧🟧🟩🟩🏽🟧🟧🟧🟧🟧⬛⬜⬜⬜⬜⬜⬜ ⬛🏽⬛⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬜⬜⬜⬜ ⬜⬛⬛🏼🏼🟧🟧🟧🟧🟧🏼🏼🏼🏼🟧🟧🟧⬛⬜⬜⬜⬜⬜ ⬜⬜⬛🏼🏼🏼🏼🏼🏼🏼🏼🏼🏿🏼🏼🟧🟧⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛🏼🏼🏼🏼🏼🏼🏿🏿🏼🏼🏼🟧🟧🟧⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🏿🏿🏿🏿🏼🏼🏼🏼🏼🟧🟧🟧⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🏼🏼🏼🏼🏼🏼🏼🟧⬛🟧🟧🟧⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟧⬛🏼🏼🏼🏼🏼🏼🟧⬛🟧🟧🟧⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟧🟧⬛🏼🏼🏼🏼🏼🏼🟧⬛🟧🟧🟧⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟧🟧⬛🏼🏼🏼🏼🏼🟧🟧⬛⬛🟧🟧⬛⬜⬜⬜ ⬜⬜⬜⬛🟧🟧🟧⬛🏼🏼🏼🏼🏼🟧⬛⬜⬛🟧🟧🟧⬛⬜⬜ ⬜⬜⬜⬛🟧🟧⬛⬛🏼🏼🏼🏼🏼🟧⬛⬜⬜⬛🟧🟧⬛⬜⬜ ⬜⬜⬜⬛🟧🟧⬛⬜⬛🏼🏼🏼🏼🟧⬛⬜⬜⬛🟧🟧⬛⬜⬜ ⬜⬜⬜⬛🟧⬛⬜⬜⬛🏼🏼🏼🟧⬛⬜⬜⬜⬛🟧🟧⬛⬜⬜ ⬜⬜⬜⬛🟧⬛⬜⬜⬛🏼🏼🏼🟧⬛⬜⬜⬜⬜⬛🟧⬛⬜⬜ ⬜⬜⬛🏿🟧⬛⬜⬛⬛🏽🏽🏽⬛⬛⬜⬜⬜⬜⬛🟧⬛⬜⬜ ⬜⬜⬛🏿🏿🏿⬛⬛🟦⬛🟦🟦🟦🟦⬛⬜⬜⬜⬛🟧🏿⬛⬜ ⬜⬛🏿🏿🏿🏿🏿⬛🟦🟦🟦🟦🟦🟦⬛⬜⬜⬛🏿🏿🏿⬛⬜ ⬜⬛🏿🏿🏿⬛⬛🟦🟦🟦⬛🟦🟦🟦🟦⬛⬛🏿🏿🏿🏿🏿⬛ ⬜⬛🏿🏿🏿⬛🟦🟦🟦🟦⬛🟦🟦🟦🟦⬛⬛🟧⬛🏿🏿🏿⬛ ⬜⬜⬛🏿🟧⬛🟦🟦🟦⬛⬛⬛🟦🟦🟦⬛⬛⬛⬛🏿🏿🏿⬛ ⬜⬜⬜⬛⬛⬛🟦🟦🟦⬛⬜⬛🟦🟦🟦⬛⬜⬛🟧🟧🏿⬛⬜ ⬜⬜⬜⬜⬜⬛🟦🟦🟦⬛⬜⬜⬛🟦🟦🟦⬛⬜⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬛🟦🟦🟦⬛⬜⬜⬛🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦🟦🟦⬛⬜⬜⬛🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🏽⬛⬜⬜⬜⬜⬛🏽⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬜🏽⬛⬜⬜⬜⬛🏽⬜🏽⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬛⬜🏽🏽🏽⬛⬜⬜⬛⬜🏽⬜⬛⬜⬜⬜⬜⬜⬜ ⬜⬛⬜🏽🏽🏽🏽🏽🏽⬛⬜⬛🏽🏽🏽🏽🏽⬛⬜⬜⬜⬜⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜

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⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠉⠙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⢘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣶⣾⣟⠀⢰⡶⠶⠆⠀⣲⣶⠀⠶⢶⣶⠶⢰⣶⠀⠀⣶⡶⠶⢀⣴⠶⠶⠆ ⢸⣿⠀⠈⣿⡇⢸⣇⣀⠀⠀⣿⣿⡆⠀⢸⣿⠀⢸⣿⠀⠀⣿⣇⣀⠸⣿⣄⡀⠀ ⢸⣿⠀⠀⣿⡟⢸⡏⠉⠀⢸⣏⣹⣧⠀⢸⣿⠀⢸⣿⠀⠀⣿⡏⠉⠀⠉⠛⢿⣦ ⢸⣿⣦⣴⡿⠁⢸⣧⣤⡄⣿⠁⠈⣿⡄⢸⣿⠀⢸⣿⣤⡄⣿⣧⣤⠸⣦⣠⣼⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⣀⣰⣶⣶⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⢀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⡀⠀⠀ ⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⠓⢽⣭⠷⡄ ⢀⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣧⣿⣻⣓⣟ ⢸⣿⣿⣽⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠿⣿⣿⣿⣿⣿⠟⢻⣿ ⠈⠿⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣱⡾⣿⣿⡿⡿⣿⣭⡼ ⠀⠀⢾⣿⣿⣿⣿⣻⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⠛⢡⣩⣿⣿⣿⣷⣾ ⠀⠀⢈⣿⣿⣿⣿⣻⣿⣛⣿⡿⠻⣿⣿⣿⣿⣿⡏⠙⣿⣿⣷⣿⣿⣿⣿⣿⣿⠿ ⠀⠀⠈⣿⣿⣿⡿⠿⣿⣟⡛⠃⠰⣿⡏⣨⣿⣿⡃⢀⣿⣿⣟⣿⡟⢿⣡⣬⣷⡄ ⠀⠀⠀⠻⣿⣿⠟⡉⢮⠻⠟⠀⠀⠀⣀⣹⣿⣯⢥⡾⣿⣿⣿⣧⣷⢈⣻⣿⠏⠀ ⠀⠀⠀⠀⠈⢻⡀⠑⠂⠀⠀⠀⠀⠀⠈⠉⠋⠀⠘⣼⣿⣿⣿⣿⠏⠘⠛⠋⠀⠀ ⠀⠀⠀⠀⠀⠈⠇⢢⣷⠀⠀⠀⠀⠀⠀⠀⠀⡒⣀⢰⠸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡜⠔⣹⣽⣧⠀⠀⠀⠀⠀⠀⡀⢀⣼⠄⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⢶⡞⢡⡫⣨⣷⡙⡑⢤⣀⠀⠀⠀⢉⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠠⠗⣉⢆⠘⡃⣽⣁⡾⠁⡠⡄⠈⠒⠒⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠐⢄⠘⢮⡖⡤⡉⠉⠀⠰⣗⣽⣀⡀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢳⢚⢽⣯⣶⡾⣷⢧⡷⢸⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⠀⠀⠈⠷⣿⣻⢺⣯⠿⠿⣃⡘⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠀⠀⠀⠀⠈⠙⡏⠣⡈⢄⡈⡊⠁⠁⠢⣲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢴⠃⠀⠀⠀⠀⠀⠀⢣⡀⡈⢍⣚⠉⠒⠧⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣠⡤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⡎⣿⣬⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣻⣿⣷⡌⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⣾⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⣿⡿⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⣆⣘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣧⣌⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣿⣽⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⠿⣟⣣⡤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣵⣿⣿⣿⣷⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣖⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣟⣻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠿⠟⠃⣁⡀⠲⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠟⣷⣢⣶⣾⣿⣿⣆⣾⢠⣢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⣾⣿⣿⡷⠾⣿⣿⡷⣾⣿⣟⡻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣿⣿⣿⣿⣿⠟⠋⠿⣿⣷⣷⡹⡦⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠋⠀⠀⠀⠙⣿⣿⣿⣽⣻⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡍⠛⠻⠀⠀⠀⠀⠀⠀⠀⠉⢻⣇⣳⣿⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⠀⠀⢀⡤⢞⡥⠀⠀⠀⠳⣟⠀⠘⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⢠⣤⣤⡖⠒⠻⠷⠋⠀⠀⠀⠀⠀⢽⠀⠈⣡⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣥⣶⣿⣇⠉⢧⠀⠀⠑⢄⡀⠀⢀⠀⠀⠀⢀⡶⠁⠀⠉⠢⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣯⣁⡘⢃⣿⠻⠷⢼⣄⣰⣶⣴⡾⠗⠊⠀⠀⢠⠟⠀⠀⢀⡠⠀⠀⠙⢤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣱⣿⣿⣿⡆⠐⠉⣻⣶⣾⣿⣿⠛⠃⠀⠀⠀⢀⣴⡋⣄⣤⠖⠉⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀ ⠀⠀⠀⢀⣪⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⡟⠰⣄⣀⣀⡴⢿⠞⠻⠿⢶⣲⠦⣍⣀⠀⠀⠀⠀⢸⡀⠀⠀ ⠀⠀⠀⠹⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣰⠃⠀⠀⢠⠋⠀⠀⢀⡤⠔⢻⡇⠀⠉⠁⠀⠀⠀⢷⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢠⡷⠀⠀⡰⡏⢀⡀⠀⠋⠀⠀⠀⠱⣄⠀⠀⠀⢀⣄⣸⡇⠀ ⠀⠀⢀⣴⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠠⣏⡧⠴⠋⡠⡇⠀⡇⠀⠀⠀⠀⠀⢀⠈⢦⠀⠀⢸⣏⠀⠃⠀ ⠀⠀⠈⠘⠭⠉⣽⣿⣿⣿⣿⣿⣿⣿⣿⠁⣸⠟⢀⠴⠊⢁⣧⠀⣇⠀⣄⠀⠀⠀⠈⠳⣄⠑⣄⠀⢧⠀⢲⡄ ⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⢇⡀⠋⣿⠁⢀⠴⠁⠈⣧⡸⡆⠘⠲⢤⣀⠀⠀⠈⠳⣜⣆⠘⡄⢸⡷ ⠀⠀⠀⠀⣠⣶⢿⣿⣿⣿⣿⣿⣿⡿⣼⢧⡀⣻⠔⠁⠀⢀⡀⠛⠳⣿⢄⠀⢀⠀⠙⠂⠀⠀⠘⡜⣆⢿⠞⠁ ⠀⠀⠀⠀⠉⠿⠟⠻⣿⣿⣿⣿⣿⡇⢶⠀⠉⠁⠀⣠⠞⠉⠀⢀⡰⢻⠈⠻⣄⠱⡄⠀⠀⠀⠀⢱⡈⢸⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠁⠈⠉⢙⢷⠋⠀⠀⡠⠖⠋⠀⠀⣇⠀⠈⠑⠌⢢⡀⠀⠀⠀⢧⠈⡇⠀ ⠀⠀⠀⠀⠀⡀⣀⣬⣾⣿⣿⣿⡏⠒⠲⠤⠬⡌⣇⠤⠊⠀⠀⠀⠀⠠⢿⡄⠀⠀⠀⠀⠹⣄⠀⠠⣌⠀⡇⠀ ⠀⠀⢠⣖⣼⣾⢿⣯⣿⡿⠟⢻⡷⡄⠀⠐⠒⠚⠋⠀⠀⣀⠤⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠈⠒⠂⢸⠠⡇⠀ ⠀⣼⣿⣿⣿⣿⢿⠛⠁⠀⠀⢠⠀⠙⠿⣄⠀⠀⡰⠶⡌⠀⠀⠀⣠⠶⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⢼⠀⠁⠀ ⠐⠻⢻⠿⠏⠀⠀⠀⠀⠀⠀⢸⠛⢦⣄⡈⠑⠤⢳⡄⢙⣦⠖⠋⠀⠀⠐⢿⣷⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢦⡲⢭⡑⠲⠦⠽⢏⠁⠀⠀⠠⠔⠉⢸⣿⠀⠀⠀⠀⠀⠀⠀⠘⣦⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⡀⠙⡛⣲⡯⠭⠟⠒⢗⣿⠙⢄⠀⣀⢼⡟⠀⠀⠀⠀⠀⠀⠀⠀⢹⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠖⠋⠉⠀⠀⠀⠀⠛⢯⣢⣼⡿⠁⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⣿⠀⠀⠀⠀⣻⣤⣇⠀⠀⠀⠀⠀⢸⡇⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⢠⣿⣿⣇⡠⣄⣰⣿⣿⣿⠀⣠⣄⢀⡴⣿⣿⢯⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⣷⣶⣴⣿⢿⣿⣷⣿⣿⡟⢻⣯⣷⣻⣼⣻⣾⣿⣏⡼⢠⠤⡄⠀⣀⣼⣯⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣿⣏⣿⡟⢲⣽⣿⣧⣼⣉⣧⣼⣿⣿⣟⣩⣿⣲⠿⢿⣿⣶⣿⣾⣿⣿⡇⢀⡀⠀⣠⣤⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⣯⣿⣻⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⠿⣿⣾⣿⣿⣟⢻⠟⣯⣿⣠⣿⣿⣶⣿⠞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣷⡿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⠛⣯⣽⣿⣻⣿⣿⣯⣿⣭⣾⣸⣿⣴⣾⣿⣿⣿⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⣿⣿⣿⣻⡛⢋⣿⢟⡛⠛⢿⣿⣿⣿⣶⣿⣽⡋⣷⣿⢿⣳⣿⣯⠹⣻⢳⣾⣿⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⢟⡿⣿⣟⣿⢃⣴⡛⠛⠲⠤⣄⡑⢦⣝⡹⣟⣻⣷⡿⢿⣗⣶⣿⣛⣿⣷⣷⣿⣿⣿⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣿⣵⣶⣯⣶⣾⣿⣽⣾⣛⠻⢿⣶⣤⡀⠹⡳⢭⡙⠲⠝⢷⣝⢮⣙⢿⣿⣿⣿⣾⣻⣿⣿⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⡿⠋⠀⠀⠈⠉⠉⠛⠿⣶⣌⡟⢿⣷⢮⣁⠙⠦⣄⠀⠙⢿⣿⠳⣝⢮⣻⣟⣿⢿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣯⣿⣻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣝⣽⣦⣬⣷⣤⠈⠳⣄⠀⠙⠳⡌⠳⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣫⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣪⡻⠾⣗⣠⡈⠷⣄⠀⠙⢦⡈⣻⣿⣧⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⣽⢡⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣤⡻⣿⡦⠈⠳⣤⡀⢻⣄⣾⣟⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⢡⠇⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣶⣄⢘⣦⣀⠻⣾⣿⡞⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡟⣽⢃⡟⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣿⠿⠿⠶⣶⣤⣀⠀⠀⠀⠙⣿⣿⢿⣷⣿⣾⣷⣿⣿⣿⡼⣇⠀ ⠀⠀⠀⠀⠀⠀⣼⡏⣰⠇⣾⡇⡄⣿⣧⣤⣄⡀⠀⠀⠀⠀⣴⣿⡿⠟⠋⣁⣄⣠⣄⣀⣀⠀⠈⠃⠀⠀⠀⢿⣯⡻⣾⣿⣿⣷⣄⡀⠙⢷⣻⠀ ⠀⠀⠀⠀⠀⣼⣟⢰⠏⢸⣟⣄⣹⣿⣟⢙⣟⡛⠻⢦⡀⠀⠀⠀⠀⣰⣿⣿⡿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠘⢿⣟⣻⣿⣿⣿⣟⢿⣆⣸⣿⡆ ⠀⠀⠀⠀⢰⣿⢯⣿⢆⣿⠁⢉⣿⣿⣿⣿⣿⣿⡿⣶⣿⠀⠀⠀⠀⡿⠋⢘⣿⣿⡿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣍⠻⣿⣿⣟⣿⣿⡇ ⠀⠀⠀⢀⣾⣟⢳⠇⢸⡇⣸⢼⣿⣿⣿⣿⣷⣬⠿⠛⢻⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡋⠹⣾⢿⢻⡇ ⠀⠀⠀⣼⣿⣏⠃⣠⡿⢁⣯⠘⣿⣿⣿⣿⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣼⣿⢴⣼⠁ ⠀⠀⢰⢧⡟⠀⢠⣿⡷⣾⠿⣶⣿⣿⣏⣿⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣦⣶⣿⣹⠸⠼⣿⡀ ⠀⢠⣿⣿⢡⣧⣿⣿⣤⣿⣶⣿⣿⣧⣿⣿⣆⠀⠘⣇⠀⠀⣀⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⣧⣧⣷⣾⣿⡇ ⠐⠿⠟⠓⠚⠚⠛⠓⠓⠛⠛⠚⠛⠛⠚⠛⠛⠶⠤⠬⠷⠼⠭⠽⠾⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠋⠈⠁⠉⠉⠉⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⡀⠀⣿⠀⣷⠶⢶⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠙⢿⣷⡜⣿⢥⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠘⣿⣿⣹⣄⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣀⣀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣿⣿⡇⠉⠛⠛⣠⡤⢤⣄⡀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣬⣳⡟⠉⠙⢻⣦⡀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣿⣿⡇⠀⢀⡞⠁⠀⠀⢹⣿⣆⢿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢾⠇⣿⠀⠀⠀⠀⢻⣿⡄⠀⠀⣷⠀⠀⠀⠀⠀⣿⣿⠃⠀⣼⠁⠀⠀⠀⠈⣿⣿⢹⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣀⡀⠀⠺⣆⣻⡀⠀⠀⠀⠈⣿⣷⠀⠀⢹⡆⠀⠀⠀⠀⣿⡿⠀⠀⣿⠀⠀⠀⠀⢸⣿⣯⣝⠃⢀⡴⠖⠛⢷⣆⠀ ⢰⡏⠉⠙⠻⣶⡌⠛⠹⣧⠀⠀⠀⠀⣿⣿⠀⠀⠀⢿⡀⠀⠀⢰⣿⠃⠀⠀⣿⠀⠀⠀⢀⣿⡟⠉⠁⢰⠟⠀⠀⠀⣸⣿⠀ ⢸⡏⠀⠀⠀⢹⣿⡆⠀⠘⢧⡀⠀⠀⣿⡿⠀⠀⠀⠈⢷⡀⢀⣿⠏⠀⠀⠀⢹⡀⠀⢀⣾⠟⠀⠀⢠⡏⠀⠀⠀⢠⣿⠏⠀ ⠀⢻⣆⠀⠀⠀⣿⣿⠀⠀⠈⠻⣄⢀⣿⠃⠀⠀⠀⠀⠈⢳⣾⠏⠀⠀⠀⠀⠈⢧⣠⡿⠋⠀⠀⠀⢸⡇⠀⢀⣴⡿⠋⠀⠀ ⠀⠀⠙⢦⣀⠀⣿⡟⠀⠀⠀⠀⠈⣻⡿⣄⣀⣀⣀⣠⡴⠟⠙⠳⠤⣄⣀⣤⠴⠞⢻⡀⠀⠀⠀⠀⢈⣧⡴⠟⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⢙⣿⠧⣤⣀⣠⠤⠾⠋⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⠚⠉⠉⠷⣄⡀⠀⢀⣠⡄ ⠰⢤⣀⣀⣤⠞⠁⠀⠀⠀⠀⣀⣀⣤⣤⣶⡶⠶⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠿⠶⢶⣶⣤⣄⣀⡀⠀⠀⠉⠉⠉⠁⠀ ⠀⠀⠀⠀⠀⢀⣀⣤⡶⠾⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠶⣤⣀⠀⠀⠀ ⠀⠀⢀⣠⠖⠋⠉⠀⠀⠀⠀⠀⢀⣀⣤⣤⡴⠶⠶⠖⠒⠛⠛⠛⠛⠛⠛⠛⠒⠒⠲⠶⢦⣤⣄⣀⠀⠀⠀⠀⠀⠉⠳⣄⠀ ⠀⣰⠋⠀⠀⠀⠀⣀⣤⠴⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⠀⠘⡇ ⠸⡇⠀⠀⠀⠀⠈⠁⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⢀⣰⠇ ⠀⠻⢦⣀⣀⣀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠋⠉⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⣴⣶⣥⣴⣶⡶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣪⣧⣼⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣟⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢧⣻⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⣤⣆⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡓⢿⣿⣶⡿⢫⣿⣿⣴⣿⣯⣄⣀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣫⣽⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣻⣿⣿⣿⠿⡟⠷⣏⢹⣌⡼⣷⣄⠀ ⠄⠰⠽⣿⣿⣿⣿⣿⣿⣿⣽⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣷⣿⣿⡻⣻⣯⣼⣀⣀⣯⣿⣧⢽⣸⣧ ⠀⣠⣤⣽⣿⣿⣿⣿⣿⣿⣿⣷⠻⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣯⣧⣤⣷⢙⣤⢭⣻⣭ ⠘⣿⣿⣿⣿⠻⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣟⣹⣿⣽⣍ ⠀⢿⣿⣿⣿⣿⡿⣯⣿⣿⣷⣻⣿⣿⣿⣿⣿⡿⣻⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣷⢤⡉⠙⢿⡻⢻⣿⣿⣿⣿⣿⣩⣈⣰⠾⢻ ⠀⠘⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⣻⡞⠭⣷⡶⢿⣿⣿⣻⣿⣿⡿⣿⣯⣄⣠⣿ ⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠿⠿⣽⣿⣿⣶⡾⠉⢸⢿⣿⣾⣶⡻⣧⣜⣛⣖ ⠀⠀⠀⠘⣟⣿⣿⣿⣾⣿⣿⣯⣽⣿⣿⣎⣽⣶⣻⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⡶⡳⣾⣟⠡⠨⢳⣸⣶⣿⣿⣿⣿⣿⣟⣿⣿ ⠀⠀⠀⠀⠘⣿⣿⣯⣿⣿⣟⣿⣿⣿⣿⠟⢻⣿⣿⣷⢻⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⠉⠙⣿⣿⣻⣿⣶⣮⣻⣯⣿⣿⣿⣿⣿⣿⣿⣿⢿ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⡖⢾⣿⣿⠃⠈⢻⣿⣿⣿⢿⣿⣿⣿⣿⣷⠀⠀⣿⣿⣷⣿⡿⣿⣿⣿⣾⣿⡿⠿⢷⣿⡿⠁⠀ ⠀⠀⠀⠀⠸⣿⣿⡿⣿⣿⣿⡽⠿⣿⣿⢿⡊⠙⠛⠀⠰⣿⣿⣿⢄⣀⣭⣾⣿⡿⠋⠀⠀⣾⣿⣿⣿⠟⢻⣿⡿⠹⢿⣃⣔⣤⣭⣿⡷⠀ ⠀⠀⠀⠀⠀⢻⣿⣏⣿⣿⣿⡒⠒⢺⡙⢿⣿⣿⡀⠀⠀⠈⠉⠁⠀⢸⣿⣿⣿⡟⠻⠃⣞⣛⣷⣯⣷⣯⣿⢀⣷⣀⠘⠻⣿⣿⣿⡿⠃⠀ ⠀⠀⠀⠀⠀⠈⠻⢿⣿⡿⠉⠀⡔⠾⢹⠸⠟⠁⠀⠀⠀⠀⠐⢦⣤⣤⣿⡿⡿⠿⠖⣷⠛⣩⣿⣿⣿⣿⣿⣽⣿⡏⣀⣴⣾⣿⡿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡀⠀⠹⢜⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠁⠀⠀⢿⡀⣿⣿⣿⣿⣿⣾⣿⡟⠁⠚⠛⠛⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⢢⡀⠰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢧⠙⣿⣿⣿⡝⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⢷⣬⡯⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⢁⣀⡀⣠⠇⠹⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣠⢔⣺⢏⢞⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⣯⡁⠀⠀⣼⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⢾⠃⢉⡙⠚⢚⠫⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣦⣤⣶⡯⣾⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠾⣿⡽⠃⢰⡛⢹⣩⣽⢷⡀⢫⠙⠲⣤⣀⠀⠀⠀⠀⠀⠀⠈⡻⢶⠶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣠⡤⢟⠁⠀⢷⡟⠜⠿⠿⠋⢸⣸⠀⠀⠈⡹⠋⠒⢤⣀⣀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⡴⠒⠉⠘⢶⡖⢷⡀⠈⢦⣠⢿⣷⣴⣷⠇⠀⣠⣊⣿⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠙⠢⣄⠀⠈⠳⡄⡽⠢⣄⡈⠉⠉⠉⠀⠀⢠⣯⢣⣨⣇⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠓⠀⠀⠘⠿⣶⡚⠉⢦⡤⢤⢤⠤⡀⠙⣳⣯⠽⡎⣳⡀⠀⡄⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⡟⢙⠷⣎⡿⣶⣛⣿⠿⣽⣩⣿⢼⡾⠂⡇⢤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢯⣏⣷⣏⡿⣇⡽⣽⠗⢿⢳⣼⡿⠁⠀⢧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠙⠯⣽⡖⣧⣱⣿⡿⢋⠛⠉⠒⢦⠤⣈⠻⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⡟⠙⢇⢀⢉⣀⡀⠈⢧⠈⠳⡀⠙⠢⣜⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⠛⢦⢜⣞⡦⠾⢆⡀⣸⠀⠀⠈⢳⣕⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣰⣛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⢀⣀⡁⠢⣌⣉⠀⠀⠉⡟⠹⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣤⡀⢸⣇⢀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡾⣷⣟⣻⣾⢿⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠟⣛⣂⣑⣛⠛⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣻⣿⡛⠛⠛⠛⠛⠛⠛⠛⠛⠘⣿⣿⣿⣿⣿⣿⣿⣿⠏⠛⠛⠛⠛⠛⠛⠛⠛⢛⣿⣿⣦ ⠸⣿⣿⣤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡩⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣴⣿⣿ ⠀⠈⠛⠛⠒⢶⣄⠀⠀⠀⠀⠀⣴⣾⣿⣿⣷⣽⣛⣳⣶⣷⣶⡄⠀⠀⠀⠀⠀⣠⡶⠚⠛⠋⠁ ⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⢰⣿⡿⣿⣿⣿⣿⣿⣿⣿⣮⢿⣷⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⣾⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⡆⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣼⣿⡿⠁⠘⢿⣿⣿⣿⣿⡟⠁⠘⣿⣿⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣯⣀⣴⣾⣿⡟⠀⠀⠀⢸⣿⣿⣿⣿⡄⠀⠀⠈⢿⣷⣦⣄⡀⣿⠀⠀⠀⠀⠀ ⠀⠀⢸⠛⠛⣻⣿⣿⡿⠟⠋⠀⠀⢀⣴⢿⣯⣾⣿⣿⢿⣦⡀⠀⠀⠙⠻⢿⣿⣿⡛⠛⠛⡟⠀ ⠀⠀⢸⣴⣿⡛⠉⠀⡇⠀⠀⠀⢠⣿⢳⣿⣿⣿⣿⣟⣿⡿⣿⡀⠀⠀⠀⢸⠀⠉⢻⣦⡈⣧⠀ ⠀⠀⣸⣿⣿⣇⠀⠀⡇⠀⠀⠀⢸⡇⣼⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⠀⠀⢸⠀⠀⣾⣿⣷⣿⠀ ⠀⠈⣹⡿⠁⠛⠀⠀⣷⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠃⠀⠀⠀⡿⠀⠐⠃⠘⢿⡁⠀ ⠀⠀⢻⠀⠀⠀⠀⠀⣿⣀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣾⡟⣀⣀⣀⣀⡇⠀⠀⠀⠀⠐⣧⠀ ⠀⠀⣸⠀⠀⠀⠀⠀⢿⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⢸⠀⠀⣼⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⢸⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⢸⣀⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⢨⣿⡿⣽⠏⢀⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⣿⠀⠀⠀⠀⣴⣿⣟⣿⢏⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⢸⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⣿⠀⠀⠀⠀⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⣄⠀⠀⠀⠀⣿⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠒⢦⡠⣆⠅⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣀⡀⠀⢰⠀⠀⢸⣿⠂⢁⠀⡀⡀⠀⠀⠀⠀ ⠀⠀⠀⢸⢻⠀⠙⣆⠈⡄⠀⢸⡿⠀⠁⠀⣿⢹⠀⠀⠀⠀ ⢠⡖⠲⣌⠚⡀⠀⣿⠀⢱⠀⢸⠃⠀⠀⢠⡟⢃⠆⠁⣿⠀ ⠀⠣⡀⢹⡆⠘⢠⡏⠀⠀⡱⢏⠀⠀⣠⠏⠀⢸⢀⠔⠁⠀ ⠀⠀⠈⡼⠀⠀⠚⢁⣈⣀⣤⣤⣤⣤⣀⣀⡀⠈⠃⠤⠤⠀ ⠀⠀⡀⠤⠒⠊⠉⢁⣀⡀⢀⠀⠀⠀⢀⣀⠉⠉⠑⠢⢄⠀ ⠀⠊⠀⠠⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢍⠀⠀⢀⠆ ⠀⠑⠂⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⡄⠀⠀⠠⡖⡦⠀⠀⠀⠀⣠⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣿⣷⣀⡀⣰⣿⣿⠀⣀⠀⣠⣿⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣶⣤⣿⣿⣷⡿⣿⣛⢿⣿⣧⣟⣿⣿⣽⢠⢤⠀⣀⣼⡷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣯⣿⣿⣷⣷⣼⣾⣿⣿⣤⣯⡟⣛⣿⣿⣿⣿⣿⢂⣤⣀⣶⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣾⣿⣿⣿⣿⡿⣿⣿⢿⣻⣽⣿⣿⣟⣷⣧⣿⣿⣹⣿⣿⣯⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣟⡟⢛⣿⠛⠛⢿⣾⣿⣿⣯⣟⣿⡿⣿⣿⣏⢿⢿⣾⣿⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣟⡽⢻⣿⣏⣴⣏⣉⠓⠢⣜⡲⢝⣿⣿⣿⠻⣷⣿⣯⣿⣿⣿⣿⡟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡿⠟⠋⠛⠛⠶⣯⣝⢻⣶⣜⡛⠲⣍⠉⠻⣿⡾⣿⣿⣿⣿⣿⡟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠙⠳⣜⣿⣍⣶⣌⠑⢆⠈⠛⢌⠻⣿⣿⣿⡁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡿⢷⣄⡳⣄⠈⠳⡈⢻⣷⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣹⢑⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢾⣿⣿⡈⠓⣆⠹⣾⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⢠⡿⣿⢳⠃⣸⡇⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣦⣤⣄⡀⠀⠀⠙⣿⣿⣷⣿⣷⣾⣿⣯⢿⠀ ⠀⠀⠀⠀⢀⡿⢱⢃⣾⢠⣿⣧⣤⣀⡀⠀⠀⢶⠿⠟⢋⣡⣤⣤⣀⣀⡉⠃⠀⠀⢸⣿⣿⣿⣿⣯⣍⠙⣿⡄ ⠀⠀⠀⠀⣾⣷⡏⣸⠳⢾⣿⣧⣿⣭⣙⣢⠀⠀⠀⢰⡿⢿⣿⣿⣿⠟⠁⠀⠀⠀⠈⠻⣿⣿⣿⣿⣝⣷⣿⡇ ⠀⠀⠀⣸⡿⣻⢣⡏⣆⣿⣿⣿⣿⣙⡿⠿⡇⠀⠀⠈⠀⠘⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡾⠻⣿⣿⡇ ⠀⠀⢠⣿⡟⢁⣼⢡⡇⢿⣿⣿⡏⠁⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣴⣿⣼⡇ ⠀⢀⣿⡟⣀⣼⡏⣿⢻⣿⣿⣿⡇⠀⢠⠋⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣶⣿⢫⡙⣺⡇ ⢀⣾⣿⣴⣿⣿⣿⣿⣿⡿⣿⣿⣿⣄⣈⣢⣠⣒⣦⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠿⠟⠏⠿⠿⠃

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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻⬛⬜⬛⬛⬛⬛🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻⬛🟥🟥🟥🟥🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🟥🟥🟥⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥⬛⬛🏻🏻🏻🏻🏻🏻⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🏻🏻🏻⬛🏻⬛🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻⬛⬛🏻🏻🏻⬛🏻⬛🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻⬛⬛⬛🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻⬛🏻🏻⬛🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻⬛⬛⬛⬛🏻🏻⬛⬛⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🏻🏻🏻🏻⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜ ⬜⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛🟥🟥⬛⬛⬜⬛⬛⬛⬛🟥🟥🟥🟥⬛⬛🟥🟥⬛⬛🏻🏻🏻⬛ ⬛🟥🟥🏻⬛⬛🏻🏻🏻🏻⬛🟥🟥🟥🟥⬛⬛🟥🟥⬛⬛🏻🏻⬛ ⬛🟥🏻🏻🏻⬛🏻🏻🏻🏻🏻⬛🟥🟥🟥⬛⬛🟥🟥🟥⬛⬛⬛⬜ ⬛🏻🏻🏻🟥🟥⬛⬛⬛🏻🏻⬛🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬛🏻🟥🟥🟥🏻🏻⬛⬛⬛⬛⬛⬛⬛⬛🟨🟨⬛⬛🟨⬛⬜⬜ ⬜⬜⬛⬛🟥🏻🏻⬛⬛⬛⬛⬛⬛⬛⬛⬛🟨🟨⬛⬛🟨⬛⬜⬜ ⬜⬜⬜⬜⬛⬛⬛🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥⬛🟥🟥⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⣾⠛⠛⠛⠀⣿⠛⠛⠃⣿⠛⠛⠃⣾⠛⠛⣿⠀⣿⠛⢻⡆⢸⡟⠛⠛⢸⡟⠛⠛ ⣿⠀⠶⣶⠀⣿⠶⠶⠀⣿⠶⠶⠀⣿⠀⠀⣿⠀⣿⠶⣾⠇⢸⡇⠀⠀⢸⡷⠶⠆ ⠻⣶⣶⣿⠀⣿⣶⣶⡄⣿⠀⠀⠀⢿⣶⣶⡿⠀⣿⠀⠹⣆⢸⣷⣶⣦⢸⣷⣶⣦

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛ ⬜⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬛⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛⬛⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬜⬜⬛⬛⬜⬜⬜⬜⬛⬛⬜⬜⬜⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬛⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀ ⢰⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠟⠋⠉⠁⠀⠀⠀⠀⠈⠉⠙⠻⢿⣿⣿⣿⣿ ⣿⣿⡿⠋⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠉⢿⣿⣿ ⣿⣿⠁⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⣿⣿ ⣿⣿⡀⠀⠀⠀⠀⠀⠀⣀⡀⣀⡠⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿ ⣿⣿⣿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣾⣿⣿⣿⣿ ⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠃ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀

⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬛⬛⬜⬜⬛⬛⬜⬛ ⬛⬜⬛⬛⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬛⬛⬜⬜⬛⬛⬜⬛ ⬛⬜⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬛⬜⬜⬛ ⬛⬜⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛ ⬛⬜⬜⬛⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬛⬛⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬛⬜⬛ ⬛⬜⬛⬛⬛⬛⬛⬛⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬛⬛⬜⬛ ⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬛⬛⬜⬛ ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠤⠤⠤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠉⠁⠀⠀⠀⠀⢠⢶⠁⠀⠈⠙⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⢀⣀⣸⡈⢧⡀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⢀⡠⠔⠊⠁⠀⠀⠱⣄⠑⠦⢤⣀⡤⢻⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⢀⡴⠋⠀⠀⢀⣠⠤⠒⠊⠉⠙⠲⠤⠤⠴⠊⠭⠷⠿⠦⠤⢄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⡴⠋⠀⣀⠤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⢀⠎⢀⡤⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢠⠏⡰⢋⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⢘⣆⡤⠿⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠁⠀⠈⢹⠖⢒⡒⠒⣖⠒⠦⣄⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⢀⡤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠒⣿⠀⠀⠀⠀⠀⡾⠖⠉⠈⣳⠋⠀⠀⠈⢧⠀⢀⠃ ⠀⠀⠀⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡖⠋⢉⣥⣤⡀⠉⠁⠀⠀⠀⠀⣼⣷⣿⡿⣶⡟⠃⠀⠀⠀⠀⠀⡜⠀ ⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⢠⠏⠻⢿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⣿⣿⣿⣷⢿⠀⠀⠀⠀⠀⢀⡜⠁⠀ ⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠀⠀⢀⠾⣄⠀⠘⢿⣿⣿⠇⢘⡇⠀⠀⠀⠀⢸⠟⠛⠁⠈⡗⢆⠀⢀⡴⠋⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠈⢦⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⢻⠉⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⣠⠟⠀⠀⣰⠃⠀⢀⡇⠀⠀⠀⠀⠀ ⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣠⣀⣀⣀⣀⣤⣠⠀⣠⠧⠤⠔⠋⠀⠀⠀⠀⠀⠀ ⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠑⠢⠤⣀⣀⣀⡤⠞⢄⠀⠀⠀⠀⠙⢿⡯⢍⡩⣿⠃⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡇⠀⠀⠀⠙⠢⣄⠀⠀⠀⠙⠒⠒⢉⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢧⠀⠀⠀⠀⠀⠀⠉⢒⡶⠤⠤⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡃⠑⢦⡀⠀⠀⠀⢀⣠⠴⠊⠙⡄⠀⠣⡀⠀⠀⠀⠀⢠⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠔⠋⠣⡀⠀⠙⣦⠔⠊⠁⠀⠀⠀⠀⠘⣄⠀⠈⠢⣄⠀⠀⢸⠘⡟⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠜⠁⠀⠀⠀⠈⠒⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠉⠓⠛⠁⡇⠀⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⠄⣀⣀⠜⠁⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠋⠀⢀⣀⣤⣤⣼⣷⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡏⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⢿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣟⠁⠘⢧⡀⠠⠋⢉⡛⠻⠿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⠋⠀⠁⠀⠀⠉⠉⠉⠁⠀⢀⡀⢈⣹⣿⣿⠗⣲⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣯⡏⠀⠀⠿⠞⠇⡃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣁⣴⠖⢶⣄⠀⠀⠀⠀⠠⠧⠜⠋⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣇⠉⠒⠼⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣏⡽⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣧⠽⡄⠀⠀⠀⠀⠓⠀⢀⡡⣴⡏⠀⠀⣰⣿⡼⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣶⢻⣦⡀⠀⠐⠾⣉⠉⣦⠴⠁⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣇⣸⡿⢟⠓⠢⢄⣀⠀⠀⠀⣠⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⠋⣤⠎⠀⠀⠀⠀⠉⠉⠉⠀⡘⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣅⠀⠈⠒⠤⣀⠀⠀⠀⠀⠀⠀⣿⣲⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠫⡈⠑⠒⠠⢤⡬⠙⡦⢄⡀⠀⢀⡿⠧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠊⠁⠀⠀⠈⢢⡀⠀⠀⠙⢦⡀⠀⠉⢳⠎⢀⠀⢻⠳⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠘⢆⣠⠋⠀⡄⠀⠈⡆⠈⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠑⢄⠀⡗⠀⠀⢇⠀⠀⠙⢦⠀⠀⠀⠀ ⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠈⠳⡇⠀⠀⢸⠀⢄⠀⠀⢳⠀⠀⠀ ⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⢸⠁⠀⠀⢸⠀⠘⡆⠀⠀⢣⠀⠀ ⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⡎⠀⠀⠀⢸⠀⠀⠘⡄⠀⠀⢇⠀ ⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠴⠁⠀⠀⠀⠋⠀⠀⠀⢧⠀⠀⠈⠂

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠖⠈⠉⠀⠀⠀⠀⠀⠉⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣶⣶⡾⠥⠤⠤⠤⠤⠤⠤⢄⣀⡀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⠉⠛⢀⠇⠇⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⠉⠒⠤⣀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡇⠀⢀⠞⡼⠉⠉⠉⠉⠉⠉⠉⠉⠁⠒⢦⣄⣀⣀⣀⣑⡦⠼⠦⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠜⠋⢻⣆⠥⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢄⠀⠀⠀⠀ ⠀⠀⢀⠞⠁⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀ ⠀⣠⠃⠀⠀⠀⠀⠀⠀⣹⠒⠠⠤⠤⠤⢤⣤⡤⠴⢒⠒⠒⡛⢿⠛⠛⠒⠒⠒⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀ ⣰⠃⠀⠀⠀⠀⠀⣀⡼⠃⠀⠀⠀⠀⠀⠸⠟⠀⣴⣿⣿⣿⡇⠀⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄ ⡏⠀⠀⠀⠀⠀⣼⣿⡿⠷⠶⢤⡀⠀⠀⠀⠀⢀⠿⣿⣿⣿⠇⠀⠀⠀⠉⣲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧ ⢧⠀⠀⠀⠀⢸⠁⠙⢧⣠⣶⣶⣿⣆⠀⠀⠀⠘⡦⠤⠛⠉⠀⠀⠀⢀⠞⠁⠀⠀⠙⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠈⢧⡀⠀⠀⠘⠀⠀⠘⠻⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠙⠢⣄⡀⠀⠀⠀⠀⢱⡈⠉⠁⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢼⡀⠀⠀⠀⠀⠀⠀⣱⠀⠀⠀⠀⠀⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠉⠑⠢⢄⣀⡼⠳⡀⠀⠀⠑⠂⠈⣀⣤⣴⡗⠀⠀⢀⡟⢲⠒⠦⠔⠒⠛⠁⠀⠀⠀⠀⠀⠀⠀⢀⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠙⠢⣄⡠⠴⣿⠯⠟⡱⠃⠀⢠⠞⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⠀⣀⡩⠗⢮⣓⠊⠁⢀⡴⠋⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣻⡉⠁⠀⣀⡤⢼⠉⠉⠁⠀⠀⠀⠀⠸⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣠⠴⠊⠁⠀⠈⠉⢺⠁⡞⠋⠀⠀⠀⠀⠀⠀⠀⢀⡽⢸⡦⠤⠤⢤⣀⡀⠀⠀⢠⠏⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⢹⠟⠁⠀⠀⢀⠀⠀⠀⢸⡀⢣⡀⠀⠀⢀⣀⠤⠔⠚⢉⡤⠋⠀⠀⠀⠀⠀⠉⢢⣠⠏⠀⠀⠀⠀ ⠀⠀⣠⠚⠉⠀⠘⣦⠀⠀⢀⠎⠀⠀⠀⠀⢣⠀⠉⠉⠉⢁⣀⡠⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀ ⠀⢀⣯⠀⠀⠀⠀⠈⢳⡴⠿⣄⠀⠀⠀⠀⠀⠑⠒⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⣇⠀⠀⠀⠀ ⠀⠁⠈⠃⠀⠀⠀⠀⠛⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠚⠉⠀⠀⠈⠙⠂⠀⠀

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

⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣿⡿⠿⣿⣿⡿⠋⠙⢿⣿⣿⠿⢿⣿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣏⣹⣾⣿⣿⣷⡄⢠⣾⣿⣿⣷⣏⣹⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣿⣿⣿⡿⠛⠁⠀⠀⠈⠛⢿⣿⣿⣿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⡿⢿⣿⣿⣿⣦⡄⢠⣴⣿⣿⣿⡿⢿⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⢸⣷⣞⢙⣿⣿⡏⠀⠀⢹⣿⣿⡋⣳⣾⡇⠀⣿⣿⣿ ⣿⣿⣿⠀⠸⠿⠿⠿⠿⠿⠿⠦⠴⠿⠿⠿⠿⠿⠿⠇⠀⣿⣿⣿ ⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣅⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶ ⠈⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣴⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣝⠛⠛⠃⣾⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣄⡻⠿⠟⠃⢀⣀⣀⣌⣽⣯⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠁⠐⠉⠈⣿⣷⡻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣩⣶⣥⡀⠀⠀⢀⣘⣿⠿⢋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣷⣶⣦⢠⡞⢡⣿⣻⡿⣻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⡿⠻⣄⣘⢻⣿⣿⣿⣿⠷⣛⢿⢟⣵⡟⣾⣷⣿⣶⣤⣴⣤⠀⠀⠀ ⠀⠀⣼⠟⣡⣤⣤⣬⣿⣣⣅⣿⣿⣿⣿⣿⣿⣞⠉⣘⣿⠋⡝⠛⢿⣿⣿⣷⣀⠀ ⠀⢀⡇⢰⣿⢡⡴⠽⣷⣾⡿⠿⣷⣹⡛⠿⢿⣭⡝⠛⠃⠀⠻⠄⠀⠸⣿⣿⣿⣧ ⠐⠉⠀⠈⣿⢸⡇⢰⡟⠿⠿⠛⠛⠉⡤⢾⠃⣏⠁⠟⠀⠀⠀⠀⣴⣿⠿⠛⣛⡋ ⠀⠀⠀⠀⣻⢘⡇⢸⠏⠀⣰⣭⠻⠿⣿⠎⠀⠈⠀⠀⠀⠀⠀⠀⡿⠃⠀⣀⣿⠃ ⠀⠀⠀⠈⠁⠀⣻⠹⣆⢰⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠟⠁⠀ ⠀⠀⠀⠀⠀⠘⠁⠀⡾⢸⣿⣟⣿⣶⣶⣶⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢸⣿⣿⣿⣿⠿⠻⠿⠛⠋⠙⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⠻⠷⢦⠶⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠟⠛⠛⠛⠛⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⢠⣤⣤⡄⠀⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣦⣄⡀⠀⠀⠀⠀⢀⣠⣴⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⠀⠀ ⣠⣾⡿⠛⠉⠉⠉⠉⠉⠙⠻⣿⣿⣿⣿⠟⠋⠉⠉⠉⠉⠉⠛⢿⣷⣄ ⣿⣿⠀⠀⠀⠲⠶⠶⠂⠀⠀⢸⣿⣿⡇⠀⠀⠐⠶⠶⠖⠀⠀⠀⣿⣿ ⣿⣿⣷⣦⣤⣤⣀⣠⣤⣤⣶⣿⣿⣿⣿⣶⣤⣤⣄⣀⣤⣤⣴⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁ ⠀⠀⠀⠀⠉⠙⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠉⠁⠀⠀⠀

⠀⠀⣀⣤⣤⣤⡀⢀⠀⠀⠀⣀⣴⣶⣶⣶⣶⣦⣄⠀⠀⠀⠀⣠⣤⣀⣤⠄⠀⠀ ⢀⣾⣿⡟⠋⠙⣿⣿⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⢸⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⡄⠀⠀⢸⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣿⣿⣿⣿⡄⠀⠀ ⠘⢿⣿⣿⣦⣤⡈⠉⠘⣿⣿⣿⣿⢿⣿⣿⡿⣿⣿⣿⣿⠃⣸⣿⡏⢻⣿⣇⠀⠀ ⠀⠈⠻⣿⣿⣿⣷⣄⠀⢸⣿⠀⠀⢀⣿⣯⠀⠀⠀⣿⡇⠸⣿⣿⠀⢸⣿⣿⡇⠀ ⢤⣤⣤⠉⠉⢿⣿⣿⡇⢸⣿⣦⣴⣾⡿⢿⣷⣦⣴⣿⡇⢰⣿⣿⣶⣾⣿⣿⡇⠀ ⢸⣿⡇⠀⠀⠀⣿⣿⡇⠈⠛⠿⣿⣿⠁⠈⣿⣿⠿⠛⠁⣼⣿⠇⠀⠀⣿⣿⣇⠀ ⠀⢻⣿⣦⣀⣴⣿⡿⠁⠀⠀⢠⣿⣿⣿⣿⣿⣿⡆⠀⢰⣿⣿⠀⠀⠀⢸⣿⣿⡀ ⠀⠀⠉⠛⠛⠛⠉⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠋⠁⠐⠛⠛⠛⠀⠀⠀⠘⠛⠛⠃