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⣘⡊⢎⢻⣽⣿⣷⡀⡈⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣦⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠁⠀⠀⡀⠀⠀⠀⢰ ⡈⠻⣿⡿⣿⣿⣿⣿⣄⠠⣹⣳⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡇⠀⢠⣮⡞⠁⠀⠀⠀⠀ ⠑⢦⡈⡿⣿⢳⣿⣿⣿⣧⠀⠘⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀ ⠀⠀⠙⢧⡈⠻⣭⣿⣺⣿⠀⠀⠘⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠛⢻⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⢠⣾⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢦⣾⣿⢿⣿⣿⢤⡄⠀⠈⢟⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢽⠉⠀⣸⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⣴⣿⣿⣿⡆⠀⠀⠀⢰ ⠀⠀⠀⠀⠀⠀⢻⢻⠿⢠⢿⣷⣡⡀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⢀⣴⣶⠜⠛⠉⠉⡭⠛⠛⠹⠩⣝⠉⠲⣶⣤⡀⠀⠀⠀⠀⠀⠀⣰⣿⠟⢁⣴⣿⠀⠀⣧⣿⣿⣿⡇⠀⠀⢐⠟ ⠳⣄⠀⠀⠀⢸⣿⡏⠀⣸⠣⡙⠻⣿⣆⠀⠀⢻⣷⠤⠀⢀⣴⣶⣿⣷⣿⣦⣤⣤⣤⣇⣀⣀⣀⣓⣊⣽⣤⣽⣷⣷⣶⣤⡄⠠⢤⣾⠏⢊⣴⡿⣉⣾⡄⠀⢹⣿⡿⠟⠁⠀⢸⢻⠈ ⣄⠈⠛⢦⣀⣾⣿⠀⠀⡇⠂⢨⠳⣾⣿⢧⡀⢨⣷⠄⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣴⢸⢿⡀⣿⢋⣻⠈⠈⡇⠀⠘⠛⣠⡾⢿⠀⢸⣿⡀ ⡙⢽⡢⣄⢈⢿⡏⠀⢠⠀⠀⠀⢰⠀⢿⣼⢹⡞⠁⢀⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠈⠈⡇⣿⡼⠗⠀⠀⣿⠀⠀⢾⣿⣿⣿⡇⠈⣿⡇ ⠙⠦⣌⠓⠍⣸⡵⠀⣸⡀⠀⠀⠀⣼⡜⡏⠘⠀⣠⣼⡿⠿⠛⠛⠉⠉⠉⠁⣀⠠⠙⢆⡿⢯⠊⣁⠀⡠⠀⠀⠀⠀⠈⠉⠛⠳⢦⣀⡇⢹⠰⢀⣥⡆⣿⠀⠀⢸⣽⡿⣾⣧⣧⢿⣷ ⠀⠀⠈⠙⣿⣿⠁⠀⡏⠙⠲⣄⣰⣇⡇⠃⣴⢾⡋⠡⠔⠊⠁⠀⠀⠀⠀⠀⠀⠉⢾⡄⠀⠇⣴⡴⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠾⣄⠸⠿⡇⣿⡆⠀⠘⣿⣟⣙⣿⣿⣷⢻ ⠀⠀⠀⠀⡿⠃⠀⢀⠁⠀⠀⠉⡯⣇⡼⡫⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠈⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣝⣵⠇⠀⠀⢿⠋⣻⣿⣿⣇⣾ ⣀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⢀⡴⡫⠊⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢦⡀⠀⠀⠸⠛⠉⠓⣾⣿⣿ ⠠⢍⡓⠪⣄⠀⠀⠀⠀⢀⣴⣫⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⢸⣯⣿⣿ ⠦⣤⣄⣷⡏⠀⠀⠀⣠⡟⡕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⣿⣿⣿ ⠀⠀⠉⢾⠇⠀⠀⣴⢟⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡿⣖⣶⣾⣿⢻⣿ ⠀⣐⡒⠖⠂⠀⣼⡟⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⡟⠋⠃⢸⣿ ⠀⠀⠈⠉⠐⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⣀⣨⣿ ⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠉⣡ ⠀⠀⠀⠀⠸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⡀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿ ⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿ ⠀⠀⠀⠀⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣹⣿⣿⣿⡿ ⠀⠀⠀⠀⣿⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⣿⣏⣁⣈⣀ ⠀⠀⠀⠀⠈⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣮⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⡀⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣯⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⢿⣿⣿⣿⣿ ⣷⣾⡋⡁⠀⠀⠨⢽⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣿⣫⣿⣿⣿⠙⠻⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣟⣸⣿⣿⣿⣿⣿ ⣿⡿⠟⠋⠀⢀⡀⠄⠛⠿⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣴⣶⠿⢿⠟⣩⣿⣿⣿⣿⣿⣿⣦⣌⡙⠻⠿⢶⣦⣤⣄⠀⠀⠀⠀⠀⢀⣀⣤⣾⣿⠛⠷⠶⣬⣹⣿⣿⣿⡿⣿ ⣿⣷⣶⣶⣎⠉⢀⠀⠒⠂⠉⢻⣿⣶⣶⣤⣄⣀⢀⠀⠀⠀⠘⣩⣭⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣄⣤⣤⣴⣴⣶⣿⣿⣿⣿⠿⣡⠷⠶⠤⣈⣻⣿⣿⣿⣇⣿ ⣿⣿⣿⣿⣷⡋⠁⠦⣀⠃⢀⡀⣹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣄⠀⠈⠓⢦⣀⣈⠳⠿⠿⣿⣿⣿ ⣿⠿⣿⣿⣿⣿⠃⠀⣠⣿⡷⠚⠠⣄⣈⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⡁⡀⠀⠉⢳⣄⠈⠓⠬⠙⠿⣧⣤⡀⠈⠳ ⢓⣠⣴⣿⠟⠀⣠⣾⣿⣟⠀⠀⣠⡿⣿⣁⠰⢦⣼⡏⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡖⠒⣷⣮⢦⣌⣶⣷⣿⣿⣤⣓⣱⣄⣈⣙⣦⡤⣦ ⣿⣿⣋⣡⣶⣾⣿⣿⣞⠁⣀⣴⣿⣤⢞⡝⣋⣿⣿⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣄⣿⣿⣋⡝⢞⣤⣿⣴⣀⠁⣞⣿⣿⣾⣶⣡⣋⣿⣿ ⣦⡤⣦⣙⣈⣄⣱⣓⣤⣿⣿⣷⣶⣌⢦⣮⣷⠒⡖⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣛⡏⣼⢦⠰⣁⣿⡿⣠⠀⠀⣟⣿⣾⣠⠀⠟⣿⣴⣠⢓ ⠳⠈⡀⣤⣧⠿⠙⠬⠓⠈⣄⢳⠉⠀⡀⡁⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠟⣈⣄⠠⠚⡷⣿⣠⠀⠃⣿⣿⣿⣿⠿⣿ ⣿⣿⣿⠿⠿⠳⣈⣀⢦⠓⠈⠀⣄⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣹⡀⢀⠃⣀⠦⠁⡋⣷⣿⣿⣿⣿ ⣿⣇⣿⣿⣿⣻⣈⠤⠶⠷⣡⠿⣿⣿⣿⣿⣶⣴⣴⣤⣤⣄⣾⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣠⣭⣩⠘⠀⠀⠀⢀⣀⣄⣤⣶⣶⣿⢻⠉⠂⠒⠀⢀⠉⣎⣶⣶⣷⣿ ⣿⡿⣿⣿⣿⣹⣬⠶⠷⠛⣿⣾⣤⣀⢀⠀⠀⠀⠀⠀⣄⣤⣦⢶⠿⠻⡙⣌⣦⣿⣿⣿⣿⣿⣿⣩⠟⢿⠿⣶⣴⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣯⠿⠛⠄⡀⢀⠀⠋⠟⡿⣿ ⣿⣿⣿⣿⣿⣸⣟⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣄⣦⠻⠙⣿⣿⣿⣫⣿⣾⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣷⢽⠨⠀⠀⡁⡋⣾⣷ ⣿⣿⣿⣿⢿⣿⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣯⣿⣿⣨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⢿⡀⢀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣮⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⠈⠀⠀⠀⠀ ⣀⣈⣁⣏⣿⣧⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⠀⠀⠀⠀ ⡿⣿⣿⣿⣹⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣸⠀⠀⠀⠀ ⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⠀⠀⠀⠀ ⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣰⠀⠀⠀⡀ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠸⠀⠀⠀⠀ ⣡⠉⡟⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢠⠀⠀⠀⠀ ⣿⣨⣀⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢠⠐⠉⠈⠀⠀ ⣿⢸⠃⠋⡟⠿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⡟⣼⠀⠂⠖⡒⣐⠀ ⣿⢻⣿⣾⣶⣖⡿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢟⣴⠀⠀⠇⢾⠉⠀⠀ ⣿⣿⣿⠀⠀⠀⡀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡕⡟⣠⠀⠀⠀⡏⣷⣄⣤⠦ ⣿⣿⣯⢸⠀⠀⠀⠀⣦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡶⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⣫⣴⢀⠀⠀⠀⠀⣄⠪⡓⢍⠠ ⣿⣿⣾⠓⠉⠛⠸⠀⠀⡀⢦⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠊⡫⡴⢀⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⣀ ⣾⣇⣿⣿⣻⠋⢿⠀⠀⠇⣵⣝⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⠈⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠖⡫⡼⣇⡯⠉⠀⠀⠁⢀⠀⠃⡿⠀⠀⠀⠀ ⢻⣷⣿⣿⣙⣟⣿⠘⠀⡆⣿⡇⠿⠸⣄⠾⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡴⣴⠇⠀⡄⢾⠉⠀⠀⠀⠀⠀⠀⠁⠊⠔⠡⡋⢾⣴⠃⡇⣇⣰⣄⠲⠙⡏⠀⠁⣿⣿⠙⠈⠀⠀ ⣷⢿⣧⣧⣾⡿⣽⢸⠀⠀⣿⡆⣥⢀⠰⢹⡇⣀⢦⠳⠛⠉⠈⠀⠀⠀⠀⡠⠀⣁⠊⢯⡿⢆⠙⠠⣀⠁⠉⠉⠉⠛⠛⠿⡿⣼⣠⠀⠘⡏⡜⣼⠀⠀⠀⡀⣸⠀⡵⣸⠍⠓⣌⠦⠙ ⡇⣿⠈⡇⣿⣿⣿⢾⠀⠀⣿⠀⠀⠗⡼⣿⡇⠈⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢀⠁⡞⢹⣼⢿⠀⢰⠀⠀⠀⢠⠀⡏⢿⢈⣄⡢⢽⡙ ⡀⣿⢸⠀⢿⡾⣠⠛⠘⠀⡇⠈⠈⣻⢋⣿⡀⢿⢸⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⠄⣷⢨⡀⢧⣿⣾⠳⢨⠂⡇⠀⠀⣿⣾⣀⢦⠛⠈⣄ ⠈⢻⢸⠀⠁⠟⡿⣿⢹⠀⡄⣾⣉⡿⣴⢊⠏⣾⢤⠠⡄⣤⣶⣷⣷⣽⣤⣽⣊⣓⣀⣀⣀⣇⣤⣤⣤⣦⣿⣷⣿⣶⣴⢀⠀⠤⣷⢻⠀⠀⣆⣿⠻⡙⠣⣸⠀⡏⣿⢸⠀⠀⠀⣄⠳ ⠟⢐⠀⠀⡇⣿⣿⣿⣧⠀⠀⣿⣴⢁⠟⣿⣰⠀⠀⠀⠀⠀⠀⡀⣤⣶⠲⠉⣝⠩⠹⠛⠛⡭⠉⠉⠛⠜⣶⣴⢀⠀⠀⠀⠀⠀⡀⣧⠻⠀⠀⡀⣡⣷⢿⢠⠿⢻⢻⠀⠀⠀⠀⠀⠀ ⢰⠀⠀⠀⡆⣿⣿⣿⣴⠀⠀⠀⠀⡟⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⣿⣿⣿⣿⣿⣸⠀⠉⢽⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢟⠈⠀⡄⢤⣿⣿⢿⣿⣾⢦⠙⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣷⣾⢠⠀⠀⠀⠁⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⣿⣿⣿⣿⣿⢻⠛⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⠘⠘⠀⠀⣿⣺⣿⣭⠻⡈⢧⠙⠀⠀ ⠀⠀⠀⠀⠀⣇⢹⠀⠀⠀⠋⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⠘⠀⣧⣿⣿⣿⢳⣿⡿⡈⢦⠑ ⠀⠀⠀⠀⠁⡞⣮⢠⠀⡇⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⣳⣹⠠⣄⣿⣿⣿⣿⡿⣿⠻⡈ ⢰⠀⠀⠀⡀⠀⠀⠁⠏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣤⣤⣦⣿⣿⣶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⢻⡈⡀⣷⣿⣽⢻⢎⡊⣘
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