Little Girl ASCII Art

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀baby girl<333⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠄⠄⠄⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢆⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢧⠀⡏⠉⡏⠉⡇⠀⠀ ⠀⠀⠀⡔⡏⠁⠀⣀⣇⡄⠀⠀⢀⣄⡀⠀⠀⠀⠀⠀⡟⠓⡏⠣⠉⠦⠎⠁⠀⠀ ⠀⠀⠀⡃⠈⣇⡰⣇⡇⠀⠀⣀⡀⡇⡕⣇⠀⠀⠀⠀⡝⢻⠄⠀⠡⡀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⢿⡗⠉⠻⠦⠖⠚⠋⢾⠀⠉⠏⡆⡀⣾⠇⠀⡇⠀⠀⠇⠀⠀⠀⠀ ⠀⠀⠀⢇⠀⢹⢯⡛⠗⠀⠀⠀⠀⠛⠛⡛⣟⢈⣿⡏⠀⠀⡇⠀⣀⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠻⡄⠈⠯⡧⠥⣀⣤⠆⠖⣷⠍⠉⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⡟⠏⠀⠀⠀⡷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⣷⣧⠀⠀⡞⠁⠀⠀⢯⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡟⣇⠀⠀⠁⠀⠀⠀⣆⠀⠈⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠓⢲⡞⣧⣄⣀⣀⠄⢬⣯⣤⣤⣤⡽⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡿⡗⣦⣠⢶⣶⣧⠀⡇⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⡷⠋⠀⠀⠀⠐⠌⢯⣷⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⣷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⡏⠉⠉⠹⡏⠉⠁⢉⠽⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⠄⠀⠀⡧⠀⠀⢸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⠀⠀⡏⠇⠀⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠆⠀⢸⡂⠀⢸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⢈⡇⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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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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