Stewie Griffin Family Guy Emojis & Text

Copy & Paste Stewie Griffin Family Guy Emojis & Symbols ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⡿⠿⠿⠿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⡿⠿⠿⠿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠋⣉⣭⣤⣶⣶⣶⣶⡄⢲⣶⣶⣶⣶⣶⣤⠨⣍⣙⡛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣋⣠⣴⣾⠿⢗⣂⣩⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣶⡀⣉⡛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⣁⣤⣌⡙⢛⣫⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣶⣬⡙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⠄⣺⣿⡿⣫⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣈⠻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⣐⣓⣛⡿⣣⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⣋⣠⣿⣿⣿⣦⡈⠛⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠁⡴⣣⣿⣿⠟⣼⣿⣿⠙⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡶⠞⢛⣛⣛⠛⠿⣿⣿⣿⡆⠘⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⢁⡞⣴⣿⣿⢏⣼⣿⣿⣿⣿⣿⡿⠷⠶⠶⠦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢁⣶⣿⣿⣿⣿⡿⠦⠌⠻⣿⣿⣆⠘⣿⣿⣿ ⣿⣿⣿⣿⠟⠁⡍⣤⣾⣿⡟⣸⣿⣿⣿⡿⢋⣡⣶⣾⣿⣿⣷⣆⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣩⣭⣭⣤⣶⣶⣶⣿⣿⣄⢹⣿⣿⣆⠀⣦⠙ ⣿⣿⣿⠃⢠⡟⣼⣿⣿⣿⢣⣿⣿⣿⡟⢀⣛⣛⣛⣛⣛⣋⣉⣭⣭⣥⠘⣿⣿⣿⣿⣿⣿⣿⣿⠏⠛⣿⣿⣿⣿⠀⣿⣿⣿⣿⡋⢉⣿⣿⣿⣿⣿⢸⣽⣿⣿⡿⣿⠇ ⣿⣿⣿⢀⣿⢰⣿⣿⣿⣿⣾⣿⣿⡟⠁⣼⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣷⣦⡈⠻⣿⣿⣆⠸⣿⣿⣿⣿⣿⡿⠿⠿⠿⠏⣘⣿⣿⡿⠁⣁⣴ ⡿⠛⢋⠸⢇⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣿⣿⣿⣦⡐⠶⣶⣶⣶⣾⣿⡿⢋⣰⣿⣿⣿⠃⣶⣿⣿ ⢠⠆⡋⢤⣴⣿⣿⣿⣿⣿⠻⣿⣿⣿⣧⠘⠿⢛⣛⣛⣛⣉⣭⣭⣭⡭⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣭⣥⣶⣿⣿⣿⣟⠃⣼⣿⣿⣿ ⡄⠢⣀⡸⢉⢻⣿⣿⣿⣿⣇⢿⣿⣿⣿⣷⣌⠻⢿⣿⣿⣿⣿⠿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣼⣿⣿⣿⣿ ⣿⣶⣶⣦⠘⢦⡹⣿⣿⣿⣿⣌⢿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⣩⣭⡭⢉⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣠⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⣄⠙⢮⡻⣿⣿⣿⣎⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣴⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⣄⡙⠮⣙⠿⣿⣷⣌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠝⣡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣌⡑⠮⣝⡻⢷⣮⣙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⡫⠝⣉⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣍⣑⠢⠭⣛⣶⣭⣛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢛⣉⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⠉⣉⣚⣚⡛⠛⠛⠛⠛⣛⣛⣛⣛⣋⡉⠉⡀⠰⣶⣶⣌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠌⣿⣿⡿⢯⡆⠀⠀⠀⢻⣾⣷⠾⢿⣷⠀⢃⡀⢿⣿⣿⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⢰⡟⢰⣿⣷⣦⣄⠈⢁⣬⣴⣶⣦⣔⢦⡀⠨⠃⢸⣿⣿⣿⣿⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣾⣿⡜⢿⣿⣿⣿⣿⣶⣿⣿⣿⣿⡿⠈⢡⣶⣶⣶⣾⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢃⠟⢍⠻⣮⡛⢿⣿⣿⣿⣿⣿⣿⠟⢁⡆⢠⣿⣿⣿⣿⣿⣿⠟⠁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⡈⣄⠑⠪⢙⣷⣦⣭⣝⣛⠉⠀⠡⠾⢡⣟⡛⠿⠿⢟⣋⠥⢊⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠉⠈⠉⠁⠀⠀⠐⠶⠂⠀⠀⠠⡀⠀⠀⠉⠉⠉⠉⠉⠤⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣿⣿⡤⠀⠀⠁⠀⠀⠀⢠⣄⠀⣶⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠒⠒⠛⠿⠛⠓⠂⠀⠀⠀⠀⠀⠘⣿⢠⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⣸⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠉⣰⡿⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠁⠀⠀⠀⠀⡀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⢀⡇⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠸⠀⠀⣶⣶⣦⡁⠀⠀⠀⡶⠰⣿⡇⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢰⣶⠞⠿⠋⠻⠃⠀⠀⠀⢶⠞⠛⠃⠛⠃⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢂⣀⡀⠀⠀⢈⣀⣤⣴⣶⣶⣶⣤⡀⢠⣤⡔⣰⣿⣿⣿⣿⣶⣍⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⢃⣾⣿⣿⣿⣿⣿⣿⡜⣿⣦⠹⢰⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⡻⠿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣷⣹⠿⢀⣛⣛⣛⣛⣛⣛⣛⣡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠬⠭⢭⣭⣭⣭⣭⣥⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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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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