Naruto,sushi, Itachi.㊙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠛⠉⠉⠛⠳⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⢶⠦⣤⣤⡾⠁⠀⠀⠀⠀⠀⠀⠀⠈⢙⠓⠒⠶⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠋⠉⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣀⠀⠀⠉⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀⣀⠀⠀⣶⣤⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠈⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⣼⢿⣷⣸⣿⣟⣿⣆⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠻⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠁⠀⠀⠀⣀⠀⢰⡟⠛⢿⣿⣿⡿⠟⢻⣼⡏⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⣯⠀⢸⣷⡞⠋⠉⠀⠀⠀⠀⣿⣷⠀⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠃⠀⠀⠀⠀⠀⠀⣿⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⣿⣧⠶⠒⠛⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢻⣤⠀⠀⠀⠀⢹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⢞⣩⡶⠂⡀⠀⠀⠀⠀⢀⡇⠀⡟⠀⠀⠀⠀⠀⠀⢠⡾⣿⠋⣀⣤⣴⠾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⣱⣾⠿⠁⣴⣇⠀⠀⠀⠀⢸⡇⢸⣧⡶⠞⠻⠆⠀⠀⠀⠸⠃⠈⣿⣿⣿⣧⣘⣿⣆⠀⠀⠀⠀⠀⠀⠀⢸⡜⡇⠀⠀⠀⠀⠀⠈⠙⢦⣄⣀⠀⢀⣀⣤⠾⢛⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣟⣼⣿⡟⠀⣼⣿⢻⡀⠀⢰⡀⢸⡇⣼⣇⣤⣤⣤⣆⡀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠋⢸⣿⡄⠀⠀⠀⠀⠀⠀⠘⡇⢷⢠⠀⠀⠀⠀⠀⠀⠀⢀⣉⣙⣋⣩⣤⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⢻⣿⣿⠀⢰⣿⠻⣧⣧⠀⢸⣇⢸⣷⡏⢿⡟⢿⣿⣿⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢀⡀⠀⠀⠀⡄⠀⡇⠰⠀⡆⠀⠀⣦⠀⠰⣦⡈⠻⢻⣿⣟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⢾⣿⣿⠀⣼⣿⠀⣿⣿⣆⠸⣿⣼⡿⠀⠈⢷⠘⠛⠉⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⢸⡇⠀⠀⠀⣿⠀⡇⠀⠀⠀⠀⠀⣿⡄⠀⣯⠻⣆⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣯⣿⠀⣿⡿⠀⢹⣞⢿⣆⢻⡽⡇⠀⠀⠸⣇⠀⠀⠀⣏⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⣼⣿⠀⠀⢰⣿⡀⡇⠀⠀⠀⡇⢠⡿⡇⠀⣿⣶⠾⠶⣦⣭⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⣷⡿⣆⢿⡇⠀⠀⢻⡄⠻⣦⢷⡄⠀⠀⡀⢹⡄⠀⠀⠉⠛⠟⠀⢀⣀⣤⣶⠟⠃⠀⢰⣿⠃⣿⠀⠀⣼⢹⣿⡇⠀⠀⢀⡇⣸⠀⡇⠀⣿⡏⢀⣤⡾⠛⠉⠛⠙⠳⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⠴⠾⠿⠏⠙⠉⠀⠹⣾⣇⠀⠀⠀⠻⣆⠈⠻⢿⣄⠀⣿⣆⡻⣆⠀⠀⠰⠶⢿⡭⠵⣞⡁⠀⠀⢀⡿⣱⣿⡿⠀⣸⡇⠈⣿⠁⠀⠀⣼⢷⡏⢠⡇⢼⡟⣣⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣷⣄⠀⠀⠀⠀⠀⠀⠙⢿⡀⠀⠀⠀⠙⢷⡄⠀⠉⠀⡿⣿⣧⢹⣷⣄⠀⠀⠀⠐⠛⠋⠀⠀⠀⠟⣴⡿⣿⠃⣴⠏⣇⠐⠛⠀⠀⢠⡟⠘⠀⠸⠃⣼⣵⡟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢻⣗⣀⠀⠀⠀⠀⠀⠈⠳⠄⠀⠀⠀⠀⢻⡄⠀⢠⡇⠿⢹⣼⡀⠙⠳⣦⣀⠀⠀⠀⠀⠀⣀⡾⠋⣸⣏⣾⡃⠀⢻⡀⠀⠀⢀⣄⠀⠀⢰⡇⢠⣿⡿⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢀⣾⠇⠀⣾⡏⣿⣤⠀⠀⣙⠻⢦⣤⣤⠾⠋⠀⣴⢿⡋⠉⠀⠀⠸⡇⠀⠀⢸⣿⠀⠀⣸⡇⣾⢻⡇⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠏⠀⠀⢻⣿⣾⠟⢷⡀⣿⣆⢶⡀⠀⠀⣷⢦⣄⡈⢿⣤⣀⠀⠀⣿⠀⠀⣾⣿⠀⢠⣿⣻⣿⢸⡇⠀⠀⠀⠙⠳⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⠁⣠⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⠀⠈⠿⠃⠀⠀⢸⢸⣿⣻⣶⣶⢿⣼⡿⣾⣧⡀⠀⢸⡎⣿⡿⣷⠟⠙⢷⣄⢸⡇⢠⣿⣿⢀⣾⢻⣿⠃⣶⣿⡀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠓⠲⠶⣶⡶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣻⣶⠶⠲⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣤⠿⣠⣾⣿⡇⠀⢠⡄⠀⠀⠀⢸⡟⢦⣀⠀⠀⣿⠀⠀⣿⢸⣿⣿⣿⣿⣄⠻⣧⠙⣿⣧⢸⣷⣇⢿⡗⣿⡷⠀⠀⠙⣿⣇⣼⣿⣯⣾⠟⡾⠃⠀⣿⡘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠶⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠋⠁⠀⠀⠀⠈⠛⠶⣤⣀⠀⠀⠀⠀ ⠀⠻⠶⠟⠛⣿⡇⠀⣼⡇⠀⠀⠀⢸⣷⣤⣽⣦⠀⣿⡇⢠⡿⣿⡟⣬⣽⡿⠛⠀⠈⠀⠀⠹⣾⡏⢛⡿⠁⠘⣿⡄⠀⢠⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⢹⣷⠹⣷⡀⠀⠘⠛⠛⣒⣶⢦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠶⣤⣄⡀⠀⣰⠟⠁⠀⠀⠀⢀⣠⡶⠀⠀⠀⠀⠙⠳⣄⠀⠀ ⠀⠀⠀⠀⢰⡿⠃⢀⣴⣿⡆⠀⠀⢸⣧⣴⣶⣿⣧⡿⣿⣸⣇⣿⠁⠀⠀⠀⠀⠀⣀⣀⣤⠴⠿⡷⢿⣅⠀⠀⣮⣻⣶⣄⣿⠟⢻⣿⡇⠀⠀⠀⠀⠀⠀⢻⣆⣉⣻⣦⣀⣀⣼⠋⠙⣧⠀⠈⠉⢛⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠈⠉⢻⠿⠦⣤⣄⣠⡴⠿⠷⠚⠛⠃⠀⠀⠀⠀⠈⠳⣄ ⠀⠀⠀⠀⣾⣠⣴⣿⣿⣿⡟⠀⣦⢸⣿⣻⣿⣿⣟⡇⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠉⣁⣀⣀⣀⣷⠀⠙⢧⣴⢾⣿⣿⠟⠁⠀⠀⣿⣿⣄⣤⣶⣢⣤⣤⣼⣿⠁⠠⣭⣉⣹⠃⠀⣰⢸⣆⣠⣴⠿⠋⠀⠉⠙⠳⢶⣤⣀⠀⠀⠀⢀⡿⢀⣠⡴⠞⠋⠛⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠛⠛⠋⠉⠉⢹⣿⢀⣏⢸⣧⠉⠙⠋⠉⠁⠛⢻⠀⠀⠀⠀⠀⠀⠀⢀⣬⡉⠉⠁⠀⣿⠀⠀⢠⣿⣧⣈⠻⢿⣶⣤⣼⣿⣿⣿⣿⣿⣿⣿⠟⠁⠙⢷⣄⠨⢷⣿⢠⣤⣯⡴⠛⠉⢹⣧⣀⡀⠀⠀⠀⠈⢷⣍⣛⣷⣦⡾⠟⠋⠁⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣸⣿⣿⣿⣇⠀⢠⡄⠀⠀⠘⢧⣴⡿⠀⠀⢀⣴⢟⣽⣿⠏⠙⣻⡇⠀⠀⣸⣧⠈⢿⣿⣦⡘⣿⣿⣿⣿⠿⠛⠁⣼⡏⠀⠀⠀⠀⠙⢷⣾⡇⢀⣾⣯⣀⣴⢟⡋⠁⢹⣇⣠⣤⡶⠾⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⢸ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⣿⠿⠏⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⡑⠆⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣀⣀⣀⣀⣙⣿⣿⣿⣷⣦⣄⠀⠈⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣧⠐⠀⢻⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⢾⠃⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢹⣾⣷⢈⣩⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠀⠠⠄⣉⠉⠛⣛⣿⣿⣿⣿⣿⣿⣿⣦⣜⣿⣿⣦⠰⢀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣄⡈⠻⣿⣿⣇⠀⠀⢿⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⢻⢤⠀⠀⢹⣷⡡⠃⠀⠀⠀⠀⠀⠀⣀⣀⣶⣿⣿⣿⡿⠿⠛⠃⠄⠀⠀⠀⠀⠀⠀⢀⣸⣿⠀⠀⣀⢀⣤⡿⠟⠉⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣷⡈⠀⠀⠀⠀⠀⠀⠀⠀⠠⢬⠿⠻⢷⣾⣿⣿⣆⠣⠘⣿⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣤⠀⣤⠀⢻⣿⡙⢀⡀⠀⠀⠀⣜⠿⠉⠩⠿⢿⣿⣧⢩⢀⡀⠀⠀⠀⠀⠀⠀⠀⢈⢹⣿⣄⣧⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣷⡇⡐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠙⢛⣿⣶⣤⣹⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⣦⣄⣬⣻⣿⣿⣱⣤⣄⢀⠟⣆⡀⢀⣃⣸⣿⣿⣿⣿⢆⡀⢠⣅⠀⠀⠀⢠⣄⣼⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠸⢿⣿⣿⣿⣿⣦⣤⠀⣂⢀⣀⣀⠀⠈⣠⣴⣶⣶⠀⢘⣻⡇⢹⣿⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣦⣾⣿⣁⣰⣾⣿⣿⣿⣿⣷⣿⣷⣀⢫⣿⣿⣶⡾⠟⠉⣿⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡏⣿⠙⠿⣿⣿⣿⣿⣤⣤⣤⣴⣿⣿⣿⣿⣿⣧⣬⣿⢇⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣿⠀⠀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⣾⠁⣿⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⣿⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢰⡏⠀⠀⣠⡾⠃⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⡿⠀⠀⠀⠀⠀⠀⠀⣤⠄⠀⠀⢠⡿⠀⠀⠀⣾⠀⢀⣼⠋⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠙⢷⣄⡀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠉⠁⠀⠀⣼⠃⣴⠟⠁⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠶⠚⠳⢾⣿⣦⡀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⢀⣼⣯⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠈⢿⡿⣦⡀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣠⡿⠁⠀⠀⠀⠀⠀⠀⢀⣾⣿⣯⣤⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡌⠻⣆⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠋⠁⠀⠀⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠙⣦⣠⣴⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠘⣧⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠘⣧⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡾⠟⠛⠛⠛⠛⠷⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⣤⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡿⠿⠙⠙⠛⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⡀⠀⠉⠙⠛⠻⢶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣦⡀⠀⠀⠀⠈⠉⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣄⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠀⠀⠀⠀⢰⣿⣿⣦⢠⣿⣯⡿⢷⣆⠘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⣾⣭⣿⣿⣿⣿⢿⣷⣿⣿⣇⢹⡿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣇⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⣼⠃⣿⣿⢠⡿⢷⣄⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠘⠋⣾⣿⢫⣿⠁⣰⡟⠘⣧⠀⠙⠁⠀⠀⠀⠾⠃⠛⠀⢀⠛⠀⣼⣷⣿⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠷⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⢀⣿⠀⡏⢻⣼⡇⠈⠙⠿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠏⢠⣿⣃⣾⣏⠀⠀⣿⡄⠀⠀⠀⠀⣤⠀⠀⠀⢠⣿⠀⢰⣿⣿⡏⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⣾⣿⠀⠀⣾⡿⢻⣦⡀⠀⠈⠙⠻⣶⣄⣀⠀⣀⣴⡾⠋⠁⢀⣿⡿⠛⠛⠋⠀⠀⢸⣇⠀⠀⠀⢀⣿⡇⠀⠀⢸⣿⠀⣾⡏⣿⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣾⣿⠃⠀⠀⣿⣷⣘⣿⣿⣆⠀⢸⣧⡀⢉⠛⠛⠋⠉⣠⣄⠀⠉⠉⢿⣄⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣿⡇⠀⠀⣾⣿⣰⡿⠁⣿⠀⠀⠀⠀⠹⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠃⠀⠀⡀⢹⡏⣿⣿⠁⠹⣧⡀⣿⣧⠸⣷⠀⠀⠀⠸⣿⢻⣶⣤⡈⠻⣷⣦⣄⠀⠀⢹⡇⠀⠀⣾⣿⡇⠀⣰⣿⣿⣿⡇⠀⣿⡆⠀⠀⠀⠀⠀⠉⠛⠷⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡿⠁⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣄⠀⠀⠀⠈⠿⠟⠀⠀⠀⠀⣷⠸⣿⢟⣿⣶⣶⡿⣷⣽⡟⣷⣿⣧⠀⠀⠀⣿⡈⣿⣿⢿⣿⠟⠉⠻⣷⣄⠘⣧⠀⢸⣿⣿⡇⢠⣿⢿⣿⣿⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠲⢶⣶⡒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣛⣷⡶⠟⠓⠶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⡟⢀⣴⣿⣿⡆⠀⠀⣠⡀⠀⠀⠀⠀⢸⣿⢷⣄⠀⠀⠀⠰⣶⠀⠀⢠⣿⠀⣿⣾⣿⣿⣿⡇⠹⢿⣇⠘⣿⣿⣇⢸⣷⣼⡇⣼⣿⢾⣿⡷⠀⠀⠈⠻⣷⣿⢀⣾⣿⣿⣳⣿⠟⣷⡿⠁⠀⢿⡇⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠛⠉⠀⠀⠀⠀⠈⠙⢻⣦⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⢸⣏⣀⣿⣿⣿⣿⡇⠀⢀⣿⡇⠀⠀⠀⠀⢸⣿⡀⠙⢷⣄⠀⢰⣿⡆⠀⣾⣿⣆⣿⡟⠻⣿⣿⣿⡖⠈⠛⠂⠈⠙⢿⣬⣿⠿⣿⣽⡏⠈⢿⣷⠀⠀⠀⠀⣿⣿⣾⣿⣿⣿⣿⠏⠀⠉⠁⠀⠀⢸⣿⡈⣿⣦⠀⠀⠀⠰⣶⣦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⢶⣤⣀⣀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠉⠻⢷⣤⡀⠀⠀⠀ ⠀⠀⠉⠉⠁⠀⢹⣿⡇⠀⠘⢻⣇⠀⠀⠀⠀⢸⣿⠛⠛⠻⣿⣦⢈⣿⣷⠀⣿⠙⣿⡇⠛⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠈⢿⣿⠀⣰⡟⠀⠀⠀⠻⣷⣄⠀⠸⢿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠈⣿⣷⠘⣻⣷⣄⠀⠀⠀⠀⣠⣼⢿⣟⠛⠛⠶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠶⣦⣄⣀⣾⠃⠀⠀⠀⠀⠀⣀⣴⣾⣛⣀⣀⡀⠀⠀⠀⠀⠈⠻⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⣿⠿⠀⢀⣴⣿⣿⡇⠀⠀⠀⢸⣿⣶⣿⣿⣿⣿⣾⡟⣿⣶⣿⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⡶⠞⠻⣿⠟⢻⣦⡀⠀⠘⢷⣿⣿⣷⣤⣾⡿⠋⢻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣦⣤⣬⣿⣶⣄⣀⣰⡟⠁⠀⢻⡆⠀⠀⠀⠈⣩⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣿⠛⠳⢶⣶⣤⣤⣾⠟⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦ ⠀⠀⠀⠀⠀⣴⡏⣠⣴⣿⣿⣿⢿⡿⠀⢸⡄⢸⣿⡟⢿⣿⣿⡿⢹⡇⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⣀⣀⣀⣸⡇⠀⠙⢿⣄⣾⣿⣿⣿⡿⠟⠋⠀⠀⠈⢿⣿⣧⢀⣀⣴⣾⣀⣤⣤⣤⣿⣟⠁⠀⣤⡍⣉⣹⡟⠀⠀⢠⡎⣿⣀⣀⣤⣾⠿⠋⠀⠈⠉⠛⠿⢶⣦⣄⡀⠀⠀⠀⠀⠀⣼⡏⠀⣀⣤⡶⠿⠛⠛⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⡿⠟⠛⠛⠛⢸⣿⠀⢸⡇⢸⣿⠙⠛⠿⠿⠛⠛⠁⣿⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠟⠛⠛⠋⠉⢹⡇⠀⠀⠀⢹⣿⣌⠙⠻⣿⣶⣤⣀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⢿⣦⡀⠈⡻⣯⣿⡇⠀⢀⣿⢃⣽⡿⠛⠻⣿⡀⠀⠀⠀⠀⠀⠀⠘⢻⣯⡛⢿⣶⣤⣄⣠⣿⡶⠟⠛⠁⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢀⣾⣷⣼⣿⣷⡀⠀⠀⠀⠀⠀⠀⠘⣿⠀⢀⣠⡄⠀⠀⠀⠀⣠⣾⢿⣷⣤⣤⣤⣄⣼⠃⠀⠀⢠⣿⡋⠻⣷⣦⣀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣿⡿⠁⠀⠀⠀⠙⢿⣦⡀⣼⣿⠁⠉⣿⡿⠟⠁⢀⣠⣴⡿⠿⢿⣷⠀⠀⠀⠀⣀⣀⣭⣿⣶⠾⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢼⣿⣿⡿⣿⣿⣅⠀⠰⠿⠀⠀⠀⠀⠙⠿⢿⣿⠁⠀⠀⣠⣾⢟⣵⣿⣿⡿⠀⠀⢸⡿⠀⠀⠀⣠⣿⣷⡀⠘⠿⣿⣷⣦⣿⣿⣿⣿⡿⠟⠋⠁⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⣀⣼⡿⠷⠤⣴⣿⠫⣤⠀⠀⣸⣿⣴⡶⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠟⠻⣷⡾⠿⢿⣿⡀⠀⣠⡿⠀⠀⠀⠀⠀⣀⣤⣴⢟⣫⣶⣿⣿⣿⡿⠁⠀⢠⣿⠁⠀⠀⢸⣿⠟⠛⢿⣿⣀⠀⠙⢿⣿⡟⠋⠁⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢛⣿⣿⡇⠀⢰⣿⡏⠀⠀⣠⣾⣿⠋⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣼⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣾⣿⠀⠀⣦⠿⢿⣿⣯⣵⣿⣿⣿⣟⣯⡾⠟⠀⠀⢀⣾⠃⠀⢀⣴⣿⣿⣶⣄⠀⠙⠻⣷⣤⣿⡿⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠃⢠⣿⣿⠃⢀⣾⣿⡿⠇⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⡴⠶⠾⢿⣿⠛⠃⢀⣀⢀⣴⣶⡾⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⣦⣟⢀⡀⠉⠛⠿⠷⠛⢛⣋⣥⡶⠀⠀⢠⡾⠃⠀⠀⢸⣿⡍⠀⠙⠿⣿⣦⣀⢉⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡟⠿⣶⡿⣿⡃⣠⣾⣿⠟⣣⣴⣿⣿⣄⠀⠀⠀⠀⢀⣀⣠⣤⣤⡤⠶⠶⠞⠛⠛⣛⣩⣭⣭⣤⣶⣶⣾⣿⣿⣿⡿⠿⠟⠛⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣿⣿⡷⣦⣀⠀⠀⠉⠉⠁⠀⢀⣼⠟⠁⣀⣤⣤⣼⣿⣷⣄⡀⠀⠻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠻⣿⣦⡈⠻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣦⣄⣛⣋⣉⣭⣤⣤⣶⡶⠾⠿⠿⣿⣏⠉⠉⠉⠀⢻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⣾⣧⡈⠉⠻⣷⣦⣤⣤⣴⣿⣭⣤⣴⣿⣿⣿⣯⡉⠻⣿⣿⣦⣄⢰⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠈⠻⣿⣦⡈⣿⣿⣿⣿⣿⠇⢹⣿⡏⢻⣿⡏⠛⠛⢿⣿⣍⠉⠉⠀⠀⠀⠀⠀⠘⢿⣧⡀⠀⠀⠀⠹⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣇⠀⢻⣿⣷⡀⠀⢻⣿⣿⣿⡿⢻⣿⣯⣿⣿⣿⣿⣿⣷⡀⠘⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣶⣌⠙⢿⣶⣶⣿⣿⠃⣸⣿⠁⠀⠀⣀⣽⣿⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀⠀⠘⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡀⠙⣿⡀⠀⢿⣿⣷⡄⠈⣿⣿⣿⣿⡘⢿⣿⣿⢻⣿⣿⡜⣿⣿⣆⣠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣦⣙⣿⣯⣴⣾⡿⠋⠀⢠⣾⣿⠿⣿⣿⣶⣄⣀⣀⡀⠀⠀⠀⠀⣽⣿⣆⠀⠀⠀⠈⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣸⡇⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⢠⣿⠁⠀⠀⣠⣿⠋⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠆⠀⠀⠀⣰⡿⠁⠀⠀⠀⣼⡏⠀⣠⣾⠟⠁⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠉⠁⠀⠀⠀⣼⡟⢀⣴⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣤⣤⣤⣬⣝⣷⣤⡀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠉⠀⠀⠈⠙⠻⣯⣿⣦⡀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡟⢿⣦⡀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣤⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣷⠶⠶⠶⠶⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠙⣷⡄⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠉⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠈⢻⣆⠀⢀⣴⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⢻⣿⠛⠋⠁⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⢻⣧⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⢻⣧⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣤⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣄⠐⢂⡒⢌⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢟⡛⠻⣽⠫⠜⣡⢋⣼⡧⡽⠬⡥⠧⠽⢬⢧⡭⢞⣸⣩⠿⠿⣛⠹⣌⢣⡙⣌⢣⠹⣌⢣⠝⣾⣿⣿⣿⢿⠻⣝⣛⡛⣏⠯ ⣟⣮⣿⣦⣼⣌⣿⣿⢳⡿⠞⡋⢍⡐⠌⡑⠨⢐⡟⠡⠘⡠⣡⠞⠡⠐⢄⠣⠐⡉⠒⡠⢂⠘⠄⠢⠄⢃⠒⠠⠡⠄⢂⠔⠠⢂⠱⣀⠃⣾⠿⡛⠽⣘⢎⡳⡜⣦⣙⣶⣿ ⣿⣻⣟⣿⣿⣿⣿⣳⠏⡑⠌⡐⠠⠐⠠⣈⡶⠋⢀⠁⢂⠁⡁⠄⠡⠈⠄⠂⠡⠀⣁⠐⠠⠈⡐⠡⠈⠄⡈⢁⠒⠈⠄⠈⠄⣁⣢⣴⠿⢋⠐⡉⢒⢡⣮⣵⣿⡷⢫⣿⣿ ⣿⣿⣿⣟⡿⣞⣷⡏⠐⡈⠐⠀⣁⣶⣟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⣴⣿⣿⣿⣿⣿⣟⡶⣤⡀⠀⠀⠀⠀⠓⠺⢿⣿⠽⢋⣁⣀⣦⣴⣼⣾⢿⡿⢋⠼⡸⣽⣿⣿ ⣿⣿⢳⡯⣟⡵⣾⠀⠡⠀⣠⣾⢟⡵⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠋⢉⣁⣀⣤⣠⣀⡬⣭⣝⣻⣷⠄⠀⠀⠀⠢⣄⡈⠙⠿⣝⡻⣜⢧⣟⠾⠋⡀⠎⡰⣽⣿⣿⣿ ⣿⣎⢷⢻⠽⣷⢯⠀⠁⣰⣟⡧⠟⠘⠀⠀⠀⠐⠒⠤⢄⢀⣀⢤⣴⠾⠝⠛⠉⠉⠈⠁⠀⠀⠀⠙⢮⡝⣭⢳⢤⡀⠀⠈⠻⣗⢦⡙⣿⠼⠋⠁⠀⠐⠠⣬⣾⣿⣿⣿⣿ ⣿⡞⣭⢎⣽⡾⠋⠀⣰⣟⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠫⣁⠀⠀⠀⠀⠀⠀⠶⣶⠀⠀⠀⠀⠀⠙⣦⢫⡜⡹⢧⡀⠰⡜⢗⠋⠸⣄⠀⠀⠀⣠⣾⢟⣿⣿⣿⣿⣿ ⣿⣽⡆⣽⠁⢠⠀⠀⡏⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢢⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣧⡎⢱⡍⣭⡆⢣⣽⣦⣴⡞⢠⣴⣾⣯⣽⣿⣿⣿⣿⣽⣿ ⡿⡵⣟⠡⠐⡀⠂⣸⠇⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢄⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣠⣿⡌⢧⠱⣌⡝⢾⡰⢻⠵⣒⢯⣓⢾⣼⡿⣿⣿⣿⣿⣿⣿ ⢷⣹⡇⠤⠁⠄⠀⣸⣶⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠱⡀⠘⠀⠀⠀⠀⠀⠠⠀⢣⢰⣹⠹⡊⣯⡒⣍⠲⣌⢛⠧⣋⢞⡱⢞⡾⣻⢟⡾⣽⢯⣷⣿⢿⣿ ⡄⣾⡷⢀⠃⡈⠀⣿⣞⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠒⢷⠐⣖⣠⢤⣄⣀⣈⠀⠀⠋⠟⠩⠅⠉⠻⡘⠳⠼⠬⢮⠕⡮⠵⣫⠶⠽⠾⠿⠾⠽⢾⣿⣿⣿ ⢳⣿⣿⡀⢂⠐⢠⣿⡾⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣶⢿⠈⣯⢹⠷⡄⠀⠈⠀⠀⠀⠀⣀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⠄⠶⡬⣿ ⣿⣿⡽⣷⡀⠂⢸⣟⣯⣷⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⢘⠸⠤⡊⠤⠂⠀⠀⠀⠀⠈⠖⢄⡁⠢⡀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣥⣬⣦⣵⣮ ⣿⣷⢿⣻⣷⡀⠈⣯⠿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠍⠲⢸⠈⠀⠀⠀⠀⠀⠀⠀⠀⡇⣠⢹⠀⠇⠀⠀⠘⡿⠶⠒⠒⠒⠊⠙⠉⠉⠉⢉⠋⢛⠻⣿⣿ ⣿⣯⣿⣳⢯⡿⣄⢹⣏⢿⣿⣻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⠒⠠⠤⠀⠀⣀⣛⣥⠼⠀⠃⢀⡀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⢈⠄⠣⢜⣻ ⢿⣿⢾⡽⣯⣝⢯⡗⡿⡬⢿⣿⢿⣗⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠤⠛⢉⡀⠀⠸⣀⣠⡤⡴⣖⢶⣒⣞⣡⣔⣠⣈⠱⢌⡲ ⠌⢿⣿⣽⣳⡞⣯⢞⡵⢯⠷⠿⢟⡋⢶⣙⡲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠒⠒⠀⠈⣉⠠⠔⠂⠉⠘⠀⠀⠀⣗⠦⢳⡱⣚⣼⣺⣼⣯⣟⣿⣿⣿⣷⣾ ⣷⣄⠻⣾⣳⢯⡳⣏⢾⣭⡙⠒⠀⠈⠉⠑⠾⢴⡩⢖⡤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠦⣉⣀⠠⠄⠂⣁⠔⠀⠀⠀⣏⣞⡕⣫⣿⠟⣿⣿⢻⣜⣳⣟⣾⢻⣿ ⣿⡿⣿⣾⣯⡷⣟⢼⡳⣬⢋⢷⠲⣤⣀⣀⠀⠀⠉⠓⠾⡥⢟⣙⠖⡦⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠢⠖⣈⠀⠀⠀⠀⠀⢿⢢⢿⣿⣯⣾⣿⢫⢷⣚⣷⣻⢾⣻⣞ ⣷⢻⣯⢿⡼⢿⣯⣦⡈⠻⣻⢮⣗⣱⡞⣞⠿⠿⡗⠶⣶⠊⡁⠯⣙⠾⣍⢳⣛⠿⠶⠶⣦⣤⣀⣄⣀⣀⡀⠀⠀⠉⠐⠒⠤⠄⢸⣧⢾⣯⣾⣟⡱⢊⡜⡹⢾⡽⣿⣷⣻ ⣯⢳⣎⢯⠻⢾⣷⣛⢯⡶⣜⢧⡎⡵⢫⠝⡯⢽⣻⢣⣇⡴⠉⠣⣌⠐⠬⣙⠪⢽⡲⢤⣀⣀⣈⣉⢭⣽⠿⠋⠉⠉⠉⠉⢉⣩⢋⢦⢣⢿⡟⠼⣣⢳⡼⣙⢮⡽⣿⢿⣿ ⣧⣛⡜⢮⣙⠚⢿⣝⡮⣝⡻⣥⡟⣴⢋⡼⢌⡇⠞⣧⢺⣍⠻⣙⢳⡛⣶⢬⣭⢒⣩⡓⠺⠞⢓⣛⣉⣀⣀⣀⣀⡤⡴⣞⡽⣒⠿⢮⢓⡎⣿⡔⢡⠋⢏⠻⡱⣟⢾⣯⢿ ⡷⢎⣞⡱⢬⡙⡌⢿⣜⢮⡵⣓⡞⣹⠳⡞⢲⠸⡩⠽⣞⡎⡵⣉⢦⡱⢊⡝⡺⢿⡦⣈⣉⣉⣉⡉⢉⠉⣄⠠⢸⣿⡖⣿⣳⣬⡛⠷⠿⢼⣱⢯⣶⣉⢂⣷⢳⢬⣛⡾⣿ ⣿⣛⢤⠻⣄⢣⠸⣀⢿⡧⡼⣻⡸⣃⠿⡸⢇⣛⢣⡛⣻⣧⢻⣟⡀⠘⠛⠛⠧⢇⣿⡘⠃⠛⠀⠛⠘⠛⠛⢧⢸⣿⡿⣸⢧⣟⣿⣄⠀⠀⠘⠛⠛⠛⢿⣀⠟⡼⣧⢿⣿ ⡷⣭⡚⡵⣊⠶⣑⠆⣆⡙⢷⣣⡟⣬⢳⣙⡾⠬⠷⠷⠇⣾⣷⣾⡾⣶⣤⣤⣤⣤⣬⣥⣤⣤⣤⣤⣤⣤⠀⠈⣸⣿⣿⣟⣿⢮⣷⢻⣷⡄⠀⠀⠀⠀⠀⠉⠛⠛⠿⢿⣾ ⣷⢣⡽⡱⣍⢞⡡⢏⡴⡘⢆⣻⠟⠙⠳⣎⢷⡀⠀⠀⠀⣿⣿⣿⣿⣳⡟⣾⣳⡟⣾⡽⣳⣟⢾⣳⢯⣟⣧⠀⠹⣿⣷⢯⣟⡿⣼⣻⢾⡽⣦⡀⠀⠀⢀⡀⠀⡀⢆⠒⠤ ⣷⢫⣞⡵⢎⢮⣱⢋⡶⡹⣼⠁⠂⠀⠀⢈⡛⠷⢦⣀⣤⣿⣿⣿⣿⣷⣻⢷⣫⣽⣳⣟⡷⣯⢿⣭⣟⡾⣽⡄⠀⢿⣿⣻⠾⣽⣳⢯⡿⣽⣻⣷⣄⠀⣸⣧⠀⡒⠌⡜⢡ ⣯⢷⡺⣽⣫⢞⡶⣫⢖⡿⠟⣀⢰⡌⣄⢘⣠⣟⡯⠛⠉⠀⠉⠈⠙⠻⢯⣟⣷⢯⣷⢾⣽⣻⣞⡷⣯⢿⣽⣻⡀⠘⣿⣽⣟⡷⣯⣿⣽⣟⣷⡿⣿⣷⣽⣻⡠⢑⢊⠴⡁ ⣟⣾⣹⣳⡽⣾⣱⣿⣿⡇⢀⡸⡆⠀⣴⣻⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣾⣿⣳⣿⣾⣟⣿⡿⣾⣿⣷⠀⠻⣿⣾⢿⣻⣷⡿⣯⣿⣿⣿⣿⣿⣿⣷⣯⣔⢢⠑ ⣟⣮⢷⣫⢷⣯⢟⣿⣿⣿⣯⡱⢌⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣿⣿⣾⣿⣯⣿⢿⣦⣙⠷⡀⣸⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣟⡾⣽⡽⣫⣞⣯⣟⣿⣿⣿⣿⣾⡿⢃⠜⡠⢃⠜⡠⢃⢌⠢⡑⢌⠢⡑⢌⠢⣁⢂⢻⣿⣿⣿⣷⣿⠿⣶⣍⠻⣖⣬⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣀⣤⣶⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣿⣷⣶⣇⠀ ⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⠇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠏⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠀⢸⡇⠀⠀⢀⡾⣫⣽⣉⣀⣀⣈⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡧⠀⠈⡇⠀⠘⠻⢿⣛⣫⠇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡷⣶⣶⣷⣦⣤⣤⣤⣬⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣯⢿⠦⠄⠀⠀⠀⢀⡤⢞⢽⣿⣶⣾⠇⣿⣿⣿ ⣿⣿⣿⣿⠿⠿⠿⠟⠀⢁⠇⠀⠀⠀⠀⢅⠀⠸⡿⠿⠿⠎⣿⣿⣿ ⣿⣿⣿⠸⡆⠀⠀⠀⠔⠁⠀⠀⠀⠀⠀⠀⠑⢴⠁⠀⠀⠀⢻⣿⣿ ⣿⣿⣿⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢸⣿⣿ ⣿⣿⣿⣧⣤⣤⣀⣀⣀⠀⠀⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠉⠉⠈⠉⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⢠⣶⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⠉⠀⠀⠉⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣿⣯⣭⣤⣾⣳⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠕⣌⠫⣣⢷⣷⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡊⢔⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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