Furry Fucked Emojis & Text

Copy & Paste Furry Fucked Emojis & Symbols ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠊⡇⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢤⡴⠋⠁⠀⠀⡇⠀⠘⡇⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⣺⡟⢠⣏⡀⠀⠀⠀⠀⡇⠀⢠⡇⠙⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⡭⠓⡪⡅⠮⠦⣌⠉⠒⠤⣀⠗⠀⡽⠁⠀⡆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢏⠎⢀⡼⠁⡼⣤⣀⠙⢕⢦⡀⠈⠙⠮⣄⠀⠀⢸⢧⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢯⠏⢠⠎⡀⣇⠇⣻⡭⢞⣧⣵⡝⢖⠶⡠⣬⢭⡿⣈⢵⣿⣀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠿⡎⢠⠃⢠⢹⡟⠘⠹⡷⣹⣾⠛⠛⣎⡽⠊⣉⡽⠏⠒⠂⠀⠘⠫⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⢳⡇⡌⠀⡆⣸⡤⠀⡎⣇⣳⠃⣠⢞⠼⣾⠉⢸⠁⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢳⡀⠀⠀⠀⠘⣴⡇⠀⡇⡿⣿⣦⣶⣯⠋⠀⢁⡅⠀⣽⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⠣⡄⠀⠀⠀⠹⡇⠀⢣⢱⣿⡎⡏⠣⣀⣴⠋⠀⠀⢁⡆⣰⠀⠀⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠓⣌⣧⠀⠀⠀⠀⢻⠀⣾⢻⡋⢳⡈⠒⠮⢅⣁⠀⢀⠞⢹⠏⠀⠀⠀⠉⠁⠉⠢⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣅⠀⠀⠀⢸⡰⢽⡀⢀⢎⠏⠀⠀⠀⠀⠉⢁⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡗⢤⣀⠀⡇⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠈⢡⠀⠀⢸⠃⠀⢠⠃⣬⠀⠀⠀⢀⣀⠔⠁⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⣧⠀⠈⢹⠁⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠓⢦⣳⡀⠁⠀⠀⠎⠀⠃⠀⠀⠀⠘⣿⠇⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠇⠀⠀⠀⠀⠀⡸⠱⣿⡷⠷⠴⠶⢧⠿⡶⠶⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⣠⠖⡪⠿⢋⣭⢶⡄⠀⡜⡇⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⡟⠀⡸⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⣀⠠⠄⠒⠒⠒⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢁⠞⠁⣴⣿⣅⠀⣟⡢⣅⠹⣄⠀⢠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⡇⢀⠇⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡞⢀⡾⠫⠒⠚⠷⡄⠈⠛⢗⣮⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡜⠀⠀⠀⢀⡼⠁⠀⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠇⢸⢃⠂⠀⠀⠀⢈⠢⡀⠀⠙⠿⣦⡀⠀⠀⠀⠀⢀⣀⡀⠀⢀⠇⡰⠁⠀⠀⢠⡟⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⣇⠘⣄⠀⠀⠀⠀⢓⡝⢄⠀⠀⠙⢟⢷⡀⠠⠖⢒⣊⣈⣓⣾⡜⠃⠠⠤⢄⡞⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⢀⡠⠒⠈⠉⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⡂⠈⢆⠀⠀⠀⠈⣁⢌⢆⠀⠀⠀⠳⡙⣏⠉⠉⠁⠀⣰⠃⠀⠀⠀⠀⡃⢇⠀⣀⠔⠁⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠘⡄⠀⠀⠀⠇⠈⢮⢆⠀⣄⠀⠱⡘⡆⠀⢀⣴⠇⡠⣀⠀⠀⠀⢱⠸⣝⢧⠀⠀⠀⠀⠀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠇⠀⠀⠀⢸⠀⠀⢫⡆⢣⠱⡀⢡⠹⡄⠙⠒⠊⠀⠀⢇⠀⢠⠀⢇⠷⢝⢧⡀⣀⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣰⠀⠀⠀⠈⡄⠀⠀⢟⠈⢆⠑⡌⡆⢻⠀⠀⠀⠀⠀⠀⣧⠈⣷⡈⢞⡌⢺⢻⢭⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⡟⠁⠀⡏⡀⠀⠀⠀⢇⠀⠀⠈⡆⠘⡄⠐⠸⠈⡇⠀⠀⠀⠀⢀⡇⢇⢸⣧⣾⣿⣧⣈⡆⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⠀⠀⢳⠀⠀⢸⡇⠀⠀⠀⢸⠀⠀⠀⢁⠀⡇⢠⠀⡇⡇⠀⠀⠀⠀⣸⢀⢾⣾⣿⣿⣿⣿⣿⠁⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠴⠊⠀⠀⠀⠀⠀⠈⢧⠀⠸⣰⠀⠀⠀⠀⡆⠀⠀⢸⠀⢠⠸⠀⡇⡇⠀⠀⠀⠀⢁⡎⢸⣿⣿⣿⣿⣿⢿⡀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⠵⠶⠂⠤⢤⡤⠤⠀⠀⠈⢣⠀⡏⡄⠀⠀⠀⢃⠀⠀⢸⠀⢸⡇⠀⡇⡇⠀⠀⡰⠃⡞⣼⣆⢟⡿⡿⢽⠟⠒⠓⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⣾⠋⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⢳⡇⠱⣀⠀⠀⠈⠢⢄⠆⠀⠘⠀⢰⢱⣡⡴⠋⠀⣨⡾⠟⢉⠸⠚⢸⡎⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⡠⣄⠀⠀⠀⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣤⡤⠂⠀⣧⡀⠀⡤⠒⠬⣫⡲⣬⡧⠀⢀⠎⡌⢹⣦⣔⣊⡝⠡⠔⠉⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⢸⠇⠀⢠⣧⠘⠑⠺⠧⡀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡤⠴⠚⢹⢣⢸⠀⠀⠀⠀⠙⢿⠛⢀⢸⣴⠁⡴⠋⠀⡸⠁⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠸⡈⠀⠀⠀⠀⠈⠒ ⠀⠸⡇⠀⣀⡤⠤⢤⣄⡀⠀⠀⠀⡿⠀⠀⠀⣸⣌⡠⣠⠶⠀⠀⠀⢸⡇⡗⠁⣿⠎⠀⠀⠀⡇⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀ ⠀⠀⢳⡞⠁⠀⠀⠀⠈⠈⢦⠀⡼⠁⢠⣴⡿⠛⠁⠀⠀⠀⠀⠸⣦⣹⣷⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠠⠏⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠠⢚⣂⠀⠀⠀⠀⠀ ⠀⠀⢈⠀⣴⠂⠀⠀⠀⠀⣸⠋⠀⣴⢋⡞⠀⠀⠀⠀⠐⣂⠀⠀⠈⠳⣽⠇⢠⡷⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠈⠑⠤⡀⠀⠀ ⠀⠀⣸⠘⠁⠀⠀⠈⠉⠑⠳⣄⣸⠃⣼⠁⠀⠀⠀⠀⠀⠈⠣⡀⠀⠸⣎⠁⡸⢢⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒ ⠀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠉⠀⡄⠀⠀⠀⠀⠀⠀⢣⠀⠀⠉⡔⠁⡸⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⡇⠀⠀⠀⠱⣀⠀⠀⠀⠀⢀⠎⠀⠀⢸⠤⠖⠁⠀⢀⡇⠀⠀⠀⠀⠀⠀⢀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠀⠀⠀⠈⠀⠀⠀⠀⡰⠓⠤⣀⣀⣀⢤⠮⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠊⠁⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⠀⢀⡴⠥⢀⠀⣩⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢦⣤⣀⣀⣀⡀⢀⣤⢞⡄⠀⣀⣴⠋⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⢉⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡏⠉⠉⠁⠉⠉⠀⠈⣧⠾⠋⠁⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⡛⡛⠻⠷⢤⣤⠄⣀⣀⣀⣰⢇⡀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠤⢤⣈⠉⠉⠉⠉⠈⠙⠳⡦⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣌⡐⢀⠂⡈⠐⡀⠻⣿⣿⣿⣾⣿⣿⣽⣯⣿⣟⣷⣿⣾⣿⣿⣿⡿⠀⡁⠂⡐⠠⠁⠌⠠⠁⠂⠄⡈⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣷⣿⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠃⠐⠤⠀⠙⠛⠿⠿⣿⣿⣿⣿⠿⠿⠟⠛⢋⠉⡀⠄⢂⠐⠠⠐⠠⠁⠌⠠⠁⠌⠠⠐⡀⠈⠉⠛⠛⠟⠻⠟⠟⠻⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠒⠐⠒⠂⠂⠂⠑⠀⠃⠈⠀⠃⠈⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⢚⡩⢔⡠⢄⡉⠒⢤⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡔⠲⢋⡅⢶⡩⢞⣱⡚⡦⣍⠳⡄⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⢋⣼⣛⣦⡜⡦⣝⡹⢶⡹⢧⣝⣣⡝⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣱⢋⡶⣍⡻⢿⣷⣭⣛⢧⣛⠷⣮⢵⣚⢷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⡱⣎⡗⣯⢶⣩⠳⣭⢚⣿⣽⣻⡼⣻⡜⢆⣡⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢫⣔⣫⠵⣮⡝⣮⢷⣭⢳⢮⡕⣎⢷⠣⣭⣶⠶⠻⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⣤⠳⣎⢧⣛⠶⣝⢧⢯⡽⣏⢾⡹⣜⢊⡞⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣤⡛⣴⢻⡜⣧⢻⣻⢮⡟⣮⢗⣻⢎⢓⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⢚⡥⣛⢦⡝⣮⢳⡝⣞⣳⡽⢮⡽⣣⢿⠋⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣤⢋⢶⡩⡞⣵⣭⢳⡽⣹⢶⣛⢯⠞⢍⡤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣤⢛⡴⣋⢶⡹⣝⢶⣫⢟⡼⣏⢾⡹⠎⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⡥⢞⢦⣋⢶⡹⣎⣟⠾⣭⣳⢻⡼⣩⠎⣡⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢋⡴⢋⡼⣩⠶⣹⢎⣷⡹⢮⡟⣧⢏⠷⣙⢢⡜⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⣡⢎⢯⣜⣳⡼⡱⣏⢷⣛⡶⣛⢧⡻⡜⣎⣓⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⣋⡴⢪⡕⣮⣳⢞⣳⢟⣷⡹⣎⢷⣹⡙⡮⢕⡱⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡔⣋⠴⣙⠦⣝⢧⣻⣵⢫⡾⣝⡾⣹⢟⡬⢧⢣⠝⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣀⣀⣴⣫⡶⢭⡞⣥⠻⣜⢫⠷⣞⣯⢿⣭⢷⡛⢮⡜⢇⡵⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⣩⡖⡆⢶⢻⣞⣧⢿⣹⢟⣬⢊⠵⡉⢎⠳⣚⢧⣻⡭⣱⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⢶⡹⡜⣥⢣⢛⣮⡗⣯⢚⡦⢏⡮⣱⠊⡵⢈⡌⠳⢵⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡳⡻⣝⡶⣭⡚⡴⣿⣧⡻⣜⢯⠶⣥⢛⡤⢣⠌⡱⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⢮⡳⣧⡻⣖⡹⣿⣷⢯⣞⣻⡜⣧⣛⢦⡹⢄⡓⢘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⣎⡷⣝⡶⢻⣿⣿⣎⡷⣛⢶⡹⣎⢷⡩⠎⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡹⢎⡻⣧⢿⣿⡟⣸⡝⢮⢳⡙⠦⢙⡴⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡌⡻⠮⣿⣿⣻⣷⢬⢥⠧⠼⠒⢋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⠂⠀⠀⠀⠘⣧⠀⠀⣟⠛⠲⢤⡀⠀⠀⣰⠏⠀⠀⠀⠀⠀⢹⡀ ⠀⡿⠀⠀⠀⠀⠀⠈⢷⡀⢻⡀⠀⠀⠙⢦⣰⠏⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⢀⣻⠞⠛⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠛⠓⠒⠓⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⢀⡟⠀ ⠀⠘⣇⠀⠘⣿⠋⢹⠛⣿⡇⠀⠀⠀⠀⣿⣿⡇⠀⢳⠉⠀⣠⡾⠁⠀ ⣦⣤⣽⣆⢀⡇⠀⢸⡇⣾⡇⠀⠀⠀⠀⣿⣿⡷⠀⢸⡇⠐⠛⠛⣿⠀ ⠹⣦⠀⠀⠸⡇⠀⠸⣿⡿⠁⢀⡀⠀⠀⠿⠿⠃⠀⢸⠇⠀⢀⡾⠁⠀ ⠀⠈⡿⢠⢶⣡⡄⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⣴⣧⠆⠀⢻⡄⠀⠀ ⠀⢸⠃⠀⠘⠉⠀⠀⠀⠠⣄⡴⠲⠶⠴⠃⠀⠀⠀⠉⡀⠀⠀⢻⡄⠀ ⠀⠘⠒⠒⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠞⠛⠒⠛⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠸⣟⠓⠒⠂⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠶⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠦⣊⡠⠆⠊⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠠⢄⢿⠉⠀⠐⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠘⢖⠁⠀⠀⢀⠐⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣠⣠⣀⣀⠀⢀⡗⡑⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣄⣰⣯⡾⠛⠉⠉⠁⠃⠒⢽⣝⣗⣧⡡⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⡾⡷⡃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⠏⠉⠀⠀⠀⠀⠑⡗⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠏⠁⠀⠀⠀⠀⠀⠀⠀⠠⠂⠀⠩⡢⡀⠀⠀⠀⠀⠀⡘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⡟⠁⠀⠀⠀⠀⠀⠈⠉⠈⢓⡏⠁⠀⠀⠰⠀⠀⠛⣢⣆⡼⠋⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣞⠟⠢⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⣟⠂⠀⡂⡉⣌⣭⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⢌⠁⠀⠀⠈⠣⡀⠀⡠⡾⠀⠀⢀⠀⠀⡝⡆⠨⣸⣼⡹⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠏⠃⠀⠀⠀⠀⠀⠀⢙⡎⠎⠀⠀⠂⠃⠄⢁⠮⡩⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⣷⠃⠀⠀⠀⠀⠀⠀⡤⡮⠏⠀⡀⠰⠐⠔⡄⣂⡅⡷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⣍⣯⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠔⠀⠂⡀⡾⣚⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡗⠁⠉⠀⠀⠉⠀⠀⠀⠀⡜⠀⠀⠄⠀⢀⡝⡆⢏⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠰⣸⡟⣢⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡇⠠⡴⣘⠄⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⢐⠀⡀⠀⠀⠀⡁⡀⠰⡿⣳⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⢪⠠⠀⠀⠀⠀⡍⠨⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣖⠀⡌⣶⡀⠀⡅⠅⡀⣦⣟⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢨⣏⢁⢰⠀⠄⡆⡠⢤⣷⠋⡨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠿⣃⡒⢅⢑⣿⠟⢡⡧⢎⡤⢤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢘⢃⣳⠤⡿⢊⡇⢒⡋⡛⠙⡛⠻⡷⣗⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⡼⠇⠀⠀⠀⠘⡆⠀⠀⠐⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⢼⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠞⠀⢹⡄⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⡿⣯⡷⡴⢦⣤⡠⣶⡶⠀⢷⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣼⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠈⢧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠛⢦⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠳⠀⢳⡀⢹⡇⠀⠀⠀⠀⠀⡾⡇⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠘⠀⠀⠹⣼⡇⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⡾⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⡟⠀⠀⠀⠀ ⠀⣴⠓⣾⣳⣀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠃⠀⠀⠀⠀⠀⠀⢸⡇⢀⠇⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠀ ⠹⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠀ ⠀⢀⡇⢹⣄⠀⠀⠀⠀⣀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣸⣧⠀⠀⠀⠀⠀ ⠀⣴⣿⠋⠘⣆⠀⢰⠶⠤⢍⣛⣶⠤⠿⣷⣦⡀⠒⠚⡟⠀⠀⠀⠀⠈⠛⠢⠤⡄⠀⠀⢀⡴⢯⠴⣳⠇⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠘⢦⡈⠻⣖⠤⣤⣉⣉⣹⣯⣭⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣫⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠉⢦⡀⠀⠀⠈⠉⠁⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣷⢚⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣷⠇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣬⣉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣍⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡟⢀⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣄⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡟⠀⠹⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠏⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠁⠀⣀⣈⠻⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⠟⠀⢸⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣜⢿⣿⣿⣦⠀⠀⠀⠀⢀⣀⣈⡙⠛⠛⠋⠁⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣧⣝⣛⣡⣶⣶⣾⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⢀⣿⣿⣿⣤⣤⣄⣀⣀⣀⡀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠻⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡠⠒⠈⠉⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠢⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠈⠑⢄⠀⠀⠀⢀⡠⠒⠈⠉⡹⠋⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠑⢄⡰⠁⠀⠀⠀⣰⣁⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠠⠬⠭⠒⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀:⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⢀⡀⠤⢤⣤⣤⣤⡤⠀⠀⠀⣤⣤⣤⠄⣀⠀⠜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠭⣉⠉⠉⠀⠀⡅⠀⠘⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⠀⡸⠘⣪⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⢀⣬⠔⠀⠙⠿⠟⠁⠀.⠤⠘⠿⠃⠠⠵⠂⠀⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⣀⠀⠀⠠⣀⣀⡀⠀⠀⠀⠀⠀⢀⠤⠂⠒⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠤⠄⣀⣀⣁⠠⠤⠐⠊⠁⠀⠀⢀⠀⡧⣧⣤⡜⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡆⠀⣠⡴⠁⢠⡄⠄⠒⠒⠂⠤⠤⠴⠀⠀⠀⣘⣄⠀⢀⡀⠀⠐⠂⠊⠑⠒⠒⠊⠁ ⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⢇⡜⠀⡇⢠⡏⠀⠀⠀⠀⡀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠈⠙⡔⠢⡀ ⠀⠀⠀⠀⠀⢴⠀⢸⠀⠀⠀⠉⠀⠈⢲⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⢔⠀⠀⠀⠀⢝⡕⠄⣀⠈⡄ ⠀⠀⠀⠀⢰⠈⢢⡘⡀⠀⠀⠀⠀⠀⢠⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⠈⠀⠀⠈⠑⢄ ⠀⠀⠀⠀⠈⡄⠀⠈⠈⠀⠀⠀⠀⠀⡀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣ ⠀⠀⠀⠀⠀⠐⢄⡠⠀⠀⠀⠀⠀⢀⠇⠀⡇⣠⣴⣤⣄⡀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⣘⣀⠀⢣⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⢋⠪⠆⣀⠔⠊⠉⠀⠀⠀⠈⢿⣿⣿⣿⣿⡇⠀⠀⠀⢀⠜⢄⠀⠀⠀⠀⠀⠀⣾⣿⣿⠏⠢⢄ ⠀⠀⠀⠀⣀⠠⠚⠒⠊⠀⠀⠀⠀⠀⠀⢀⠠⢊⠏⠛⠿⠯⠥⠤⠔⠊⠁⠀⠆⠁⠒⠠⢤⠤⠔⣛⠉⠀⠉⠒⠒⠄⡀ ⠀⠀⠀⡐⢀⣀⠀⠀⠀⣄⠤⠐⠂⠉⠉⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠈⠀⠈⠉⠐⠢⢄⢀⡀⠠⣈ ⠀⠀⠘⠒⠱⠀⢀⠀⢠⠁⠑⠢⢀⠔⠊⠁⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡇⠢⠀⠀⠀⠈⢆⢀⡸. ⠀⠀⠀⠀⢣⢤⣀⡀⡌⠀⠀⡔⠁⠀⠀⠀⠀⠀⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠑⢄⠀⠈⣹⡅⡪⣪ ⠀⠀⠀⢠⡢⢃⢟⠰⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠈⢢⠀ ⠉⠈⠘ ⠀⠀⠀⠈⠵⠅⠊⠁⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⡐⠃⠀⠀⠀⠀⠀⠀⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢇ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢀⢜⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠋⠉⠉⠙⢲⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠃⠀⣤⡄⠀⠠⣤⠀⠀⢤⡄⡠⠤⣤⡀⡠⠤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⣿⠀⠀⢸⡏⠀⠀⢸⡇⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⠀⠀⢀⠄⠀⢿⡇⠀⢀⣿⡀⠀⢸⡇⠀⠀⢸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠒⠒⠊⠁⠀⠀⠈⠛⠒⠁⠛⠃⠐⠚⠛⠂⠐⠚⠓⠂⠐⠛⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⢰⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⢹⠰⡀⠀⠀⡃⠑⢾⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⡀⠀⡆⠇⠀⠛⣄⠀⣇⣰⡿⣧⣤⣤⣬⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⠀⠸⠐⣧⣈⢸⣄⢈⣷⣿⣿⢃⣿⣫⣴⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⡄⠐⡁⠈⢆⠈⠉⠻⣿⡿⡛⠉⣀⣤⣤⣤⣭⣿⡓⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠀⠐⡆⠈⢳⣶⣶⢯⠊⣠⣾⣿⣿⣿⣿⡍⠉⠳⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢆⠀⠑⠀⡀⠙⡿⠁⣾⣿⣿⣿⣿⠝⠒⠢⢄⠀⠀⠑⢤⡀⠀⠀⠀ ⠀⠀⠀⠐⣤⣈⣦⣀⣀⠀⢀⡧⢤⣿⣿⣿⣿⣀⠄⠀⠀⠀⣣⣷⣦⡀⠈⠢⡀⠀ ⠀⠀⠀⠀⢣⡈⠙⢣⡀⢨⠃⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣶⣶⣿⡆ ⠀⠀⢀⣐⣶⣛⠯⠖⠳⢼⠀⠀⠀⠀⡜⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠹⣁⠀⠀⣈⣩⠥⠀⠳⣦⠀⠀⣳⡿⢿⣿⣿⣿⣮⡻⢿⣿⣿⣿⣿⡫⣺⠀ ⠀⠀⠀⢈⣻⢛⡳⠤⠤⡾⣟⣒⠛⠯⡽⣍⠐⢌⡉⠙⠛⠛⠳⠬⠟⠋⠐⢊⠍⠀ ⠀⠀⡠⢐⡗⢁⡾⠋⣉⣬⠖⠒⠲⡤⠌⣂⠥⢀⡈⢣⡈⠀⠀⠀⠐⠪⢽⣋⠒⢄ ⡠⠊⠀⠛⠲⣿⡃⠜⡯⣴⢺⡛⠲⣵⢄⡀⠨⠁⠒⠒⠈⠀⠀⠀⠀⣀⣀⣉⡹⠂ ⠀⠀⠀⠀⠀⠘⡿⠀⢀⢿⢸⡇⠀⠀⠑⠪⡍⠒⠂⠀⠀⠀⠀⣠⠤⠐⠒⢾⡿⡂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣀⠀⢱⡀⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣓⣒⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠯⠽⣶⡏⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠉⠀⢀⣴⠟⠁⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⡼⠏⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣶⡿⠟⠛⠿⣦⣄⠀⠀⠀⢀⣀⣠⣷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⢫⠏⠀⠀⠀⠀⠈⢟⣧⣷⣋⣉⣀⠝⠋⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣧⠃⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣾⡀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣿⣶⣦⣤⣴⣶⣟⡝⣇⠀⠀⠀⠀⠀⠀⠀⡷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⠟⠂⠀⠀⠀⠀⠀⠈⠳⠶⣴⣺⣭⡶⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠠⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⠒⠒⠒⠒⠒⠶⠦⠄⢹⣄⠀⠀⠑⠄⣀⡠⠤⠴⠒⠒⠒⠀⠀ ⢇⠀⠀⠀⠀⠀⠀⠐⠋⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀ ⠈⢆⠀⠀⠀⠀⡤⠤⣄⠀⠀⠀⠀⡤⠤⢄⠀⠀⠀⠀⠀⣠⠃⠀ ⠀⡀⠑⢄⡀⡜⠀⡜⠉⡆⠀⠀⠀⡎⠙⡄⠳⡀⢀⣀⣜⠁⠀⠀ ⠀⠹⣍⠑⠀⡇⠀⢣⣰⠁⠀⠀⠀⠱⣠⠃⠀⡇⠁⣠⠞⠀⠀⠀ ⠀⠀⠀⡇⠔⣦⠀⠀⠀⠈⣉⣀⡀⠀⠀⠰⠶⠖⠘⢧⠀⠀⠀⠀ ⠀⠀⠰⠤⠐⠤⣀⡀⠀⠈⠑⣄⡁⠀⡀⣀⠴⠒⠀⠒⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢯⡉⠁⠀⠀⠀⠀⠉⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣞⡄⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
⠀⠀⠈⢶⡀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⡴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⣤⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⠀⠀⠀⠀⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠉⡿⢀⡔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠖⠛⠋⠉⠉⠉⠉⠙⠒⠦⣄⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣦⠀⠀⠀⠀⠀⠘⣿⠶⣄⡀⠀⠀⠀⣰⠏⠀⢸⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⢀⣀⡤⠤⣄⣀⣀⠀⣀⡈⠙⠶⣄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠈⠳⣄⡉⠓⠦⣄⣇⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠪⣝⡛⠛⢦⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠉⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⢳⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⡀⠀⠀⠀⠀⠈⢧⠀⠙⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣦⣄⣀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠀⠀⠰⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⠦⣝⢦⡀⠀⠀⠀⠈⣷⣄⠈⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠟⠋⠉⠁⠀⠀⠀⠙⢷⣤⣄⡘⢧⠀⠀⠐⣆⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠸⡇⠀⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⡀⠉⠛⠒⠀⠀⠀⢻⡈⠳⣄⠀⠀⠀⠀⠀⠀⠀⣰⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠈⠙⢮⣇⠀⠀⢹⣄⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⢻⡀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⣦⣄⡀⠀⠀⠀⠀⠹⣄⠈⠳⢦⠀⠀⠀⠀⠘⠁⠀⣀⣤⣶⣶⣶⣶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⡸⠙⢦⡀⠀⠀⢷⡀⠀⠀⠀⠀⠀⢳⡄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⢭⣗⣲⠀⠀⠀⠘⢧⣀⠀⣀⣀⣀⠀⠀⣠⣾⣿⡿⠿⠛⠛⠿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⣇⣠⠇⠀⠀⠙⠦⣀⠈⠳⡄⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⡀⠀⣀⡼⠷⣬⣙⣀⣀⣠⠴⠛⠉⠉⠀⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⢀⣸⡏⠻⣿⡿⡄⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠀⠀⠈⠙⠒⠿⢦⡀⠀⠀⠀⠀⠈⠧⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⣽⠛⢁⣠⣀⡈⢻⡽⠋⠀⣀⡤⠀⠀⠀⢤⡷⣿⡏⢸⠀⠀⠀⠀⠀⡟⠁⠙⠢⣿⡷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⢠⡍⠲⢤⣀⠀⠀⠀⠈⢑⣶⠆⠀⠀⠀⠀ ⢼⠁⢠⠟⠀⠀⢩⠏⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⢻⡇⠸⡄⠀⠀⠀⠀⠳⣄⣠⠀⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣷⣴⡿⠁⠀⢦⡈⢻⡍⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⣾⠀⢸⣄⡀⠀⣇⣰⠋⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⠿⣆⣙⣦⣄⣀⣀⡠⠞⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠿⠛⠉⠙⠿⠯⠼⠀⠀⠀⠙⢦⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⠀⠘⣄⠉⠛⢻⠃⠀⠀⢀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠓⠦⠤⣀⡀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠦⣀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢳⣄⠈⠓⠒⡇⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠓⠢⠤⣇⣠⠎⠀⢠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠲⠦⢤⣤⣤⡤⠞⠙⢧⠀⡄⠀⠀⠀⠀⠀⠀⠀⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⡏⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⢳⣄⣰⠶⣄⠀⠀⡇⢠⢶⡾⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠾⣇⣀⣏⡿⠋⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢣⣸⡇⠀⢰⠏⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⢀⣀⡤⡴⠧⢤⣀⣀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠔⠚⠛⠚⢿⡇⠀⣼⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⣧⠔⣲⠒⠛⠓⠛⠳⠤⣀⡀⠉⠓⠢⢤⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠊⣡⠤⠤⠤⢤⠀⢳⠀⡇⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠙⢷⡶⢤⣤⣤⡤⠶⠚⢉⣻⣽⡿⠯⠤⣤⣄⡀⠀⠀⠈⠙⠲⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀ ⣰⠷⠋⠀⠀⠀⠀⠀⢀⣈⣷⣇⠀⠀⠀⢀⡏⣠⠶⠚⠉⠓⠲⢤⡀⠀⢀⡼⢳⡀⠀⠀⠙⢷⣠⠟⢷⠀⠸⣍⣨⡟⠀⠀⠀⠀⠀⠈⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀ ⠋⠀⠀⠀⠀⢀⡤⠞⠉⠁⠈⠹⣆⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⡭⠷⠊⠁⢈⡇⠀⠀⠀⠀⠉⠳⠦⣇⣀⣸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀ ⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⡀⠀⠈⠧⣀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠿⠳⣿⠛⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀ ⠀⠀⠀⠀⣿⠀⣠⠴⠒⡶⠃⠀⠀⠀⠈⠙⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠐⠋⠀⠀⠈⠑⠲⢤⣀⡀⠀⠀⠀⢀⣸⣷⠒⠛⠀⠀⠀⠀⠉⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⣿⡾⠁⢀⡾⠁⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠚⢉⣥⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⡠⠀⠉⠁⠀⣼⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠶⠤⠶⠖⠉⡽⠀⠀⠈⠙⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠇⠀⠀⠀⠀⢻⡀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠤⣀⣀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠈⠛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡆⠀⠀⠀⠀⠀⠙⢦⡀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣹⣿⣿⣿⣿⣿⣴⢾⣯ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡵⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣽⣿⣿⢧⣦⡀⠀⠀⠀⠀⠀⠀⢀⣔⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣯⢿⣧⣿⣷⣶⣷⣧⣶⣾⡾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢹⡿⢿⣿⣿⣿⣿⡿⣿⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⡜⣻⣷⣿⣿⣿⣿⣿⡾⣽⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠋⠀⣨⣿⣏⠙⠷⢿⡿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠁⣀⣾⣿⣿⣿⣿⣿⣄⠛⡷⠀⠀ ⠀⠀⠀⠀⠀⠀⣯⢟⣿⢟⠷⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣿⣿⣿⣿⣿⣿⣿⣆⠈⠀⠀ ⠀⠀⠀⠀⣤⣚⡭⡟⢮⡿⠽⣿⢿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣟⣿⢷⣿⣷⣽⣿⣽⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⡀ ⠀⠀⠀⠀⠀⡴⣟⡸⣿⣾⣿⣿⣿⣿⣿⣿⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣷ ⠀⠀⠀⠀⠘⠋⣟⣼⢙⣿⣿⣿⣿⣿⣿⣿⣗⣽⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠇⣽⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢧⠀⠶⢿⣟⣿⣷⣶⣶⣶⣶⣶⣿⣿⣯⠏⣸⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣅⢳⣟⢻⣷⡄⣀⣍⣽⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡟⠀⠹⣿⣿⣿⣦⠳⢫⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠁⠀⣀⣈⠻⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⠟⣻⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣏⣠⣾⣿⣿⣷⣜⢿⣿⣿⣦⣀⣘⣉⣡⣬⣭⣭⣿⣿⠛⠋⠁⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣝⣛⣡⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣟⣗⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣿⣿⣿⣿⣿⣿⣿⡻⠿⢿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣭⣭⣭⣭⣭⣽⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⣿⢷⣽⣆⠀⠻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣸⣿⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣼⣿⣿⣿⣿⠀⠀⠉⠛⠒⡆⠘⠻⢄⣿⣿⣿⣤⣤⣄⣀⣯⣿⡏⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⠀⠀⠀⢀⣀⣚⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠻⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠂⠄⠠⢀⠀⢀⠀⠀⡀⠀⢻⣌⠻⢮⡽⣹⠮⣝⣣⠿⠋⢀⠀⠀⠀⠀⠀⠀⠀ ⠠⢁⠂⡐⠠⢈⠠⢀⠡⢀⠂⠈⣿⢻⣬⡙⡷⠛⠉⠁⣠⠔⠃⠠⠈⠄⡁⢂⠡⠀ ⢂⠂⠔⡀⠃⠄⢂⠄⡐⠠⠈⠄⠹⣷⣎⡟⣿⢦⡼⣥⣤⣀⣂⣥⣈⠐⣀⣂⡐⠠ ⠠⢌⡐⠤⢁⠊⢄⠒⣠⠷⢈⡘⢄⠂⠍⠻⢮⣏⡷⣝⡾⣹⢯⣝⡯⣿⣻⣽⣻⢟ ⠐⠤⡐⠢⢌⡐⢢⢰⠏⡐⢂⠰⡀⢎⣌⠐⡂⢌⡙⢛⠛⡙⢋⠍⡙⠛⣷⣯⣟⣿ ⢈⠒⡄⢃⠆⡘⢤⡟⢠⢑⣬⣦⣽⣿⡋⠔⡡⢂⠜⡠⢃⡘⠄⢎⠰⡉⠔⢻⠞⡩ ⠠⢃⠜⡠⢊⠔⣸⢧⣘⣾⣷⣿⣿⣿⡟⣳⡄⢣⡘⢄⠣⡘⠌⢆⠣⣘⡘⠤⣊⠔ ⠱⣈⢆⡱⢌⣺⣼⣿⣿⣿⣿⣿⣿⣿⣿⣴⡿⡐⡌⢆⢣⠱⣉⣦⠓⡤⢃⠳⡌⡜ ⣱⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢱⡘⡜⡜⢢⠳⣉⢦⡙⢦⣋⠵⣊⡜ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣕⢣⡝⣬⣙⢣⡝⡜⢦⡹⢦⣙⢮⡱⢎ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣝⣣⢗⡺⡴⡭⢶⡹⢞⣣⡝⣶⡹⣲⢽⣩ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⢯⢯⡿⣵⢫⣜⢮⣳⢳⡝⣧⢻⡝⣶⡹⢶⣹⢧⡻⣼ ⣿⣿⣿⣿⣿⢿⣿⣝⣳⡽⢾⣻⡿⣜⣧⢻⣎⣷⢫⡾⣭⢷⣛⣶⢻⣻⣼⣳⣻⡵ ⣿⣿⢿⡽⣞⣯⣻⣞⡷⣽⡿⣽⣟⣧⡟⣯⣞⡾⢯⡷⢯⣯⢟⣞⣯⢷⣳⢯⣷⣻ ⣿⣿⣯⣿⣿⣶⣟⣾⣿⣻⣽⣷⣿⣾⣽⣳⢯⣟⣯⣟⡿⣞⡿⣾⡽⣯⣟⡿⣶⣻
⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⢀⣀⠀⠀⠀ ⠀⣿⣁⢈⠉⠉⣉⣉⡧⠀⠀⣼⠋⠁⠀⠘⠢⡾⠋⠉⠉⢳⠀ ⠐⠛⢻⣯⠀⢠⠋⠉⠀⠀⢸⣷⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⡇ ⠀⠀⢸⡿⠀⢸⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀ ⢴⣯⣉⣁⣀⡈⠒⠒⡀⠀⠀⠈⠻⣧⡀⠀⠀⠀⢀⡠⠊⠀⠀ ⠈⠉⠉⠉⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠉⠢⡠⠒⠁⠀⠀⠀⠀ ⢰⣖⠒⡀⠀⢠⣴⠒⡂⢀⣀⣀⡀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠙⣦⠈⢄⡾⠃⡜⣴⠟⢉⢥⡈⢢⢶⣯⢀⠁⠀⢰⡯⠉⡇ ⠀⠀⠈⢿⡬⢁⠌⢠⡿⠁⠆⠈⡇⢸⣿⣇⢸⠀⠀⢸⡇⠀⡇ ⠀⠀⠀⢸⡯⢻⠀⢸⡇⠀⡀⢸⠇⢸⣿⠃⢈⠀⠀⣿⡀⠀⡇ ⠀⠀⠀⣾⠁⠘⠀⢸⣧⠀⠈⠁⢀⠎⣿⠀⢺⠀⣰⡿⠀⢠⠁ ⠀⠀⠀⠛⠒⠃⠀⠈⠛⠳⠶⠖⠋⠀⢿⣄⡀⠉⠁⠀⡠⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⣿⢷⡄⠀⠀⠀⠀⠀⣀⣠⣤⣤⡤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣌⠉⠉⣛⣷⡴⠶⠶⠶⣟⡆⠙⣧⣤⡴⠞⠛⠉⠉⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡄⠻⣯⡀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠆⠀⠀⠀⠀⠀⠀⢼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣇⠀⠈⠙⠷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡆⠀⠀⢀⣤⣤⣀⠀⠀⠀⣴⡞⠾⣦⡀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢻⣆⠀⣾⠁⡏⢹⠀⠀⢐⡇⠸⠀⠸⠇⠀⠶⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⡽⣂⢃⠀⣇⢸⠀⡀⢀⡧⠼⠀⣰⣶⠆⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⡿⣟⡃⠈⠘⠻⣯⡉⣿⠀⠀⠀⣠⡟⣘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣇⣨⣛⣶⠶⠲⠈⠛⠋⠀⠀⠚⣿⣀⣉⣡⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⡾⡛⠫⣿⠳⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⢭⢈⠈⠙⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⠡⢕⠈⠈⡼⣟⣿⠀⠀⠀⠀⠀⠀⠀⢠⡀⢹⡡⡁⣀⢣⠁⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣯⠀⠘⠢⠂⠀⣿⠻⢾⠀⠀⠀⠀⠀⠀⠈⢻⣌⠗⠈⠈⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⠀ ⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⢸⡻⣦⡀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⣠⡾⠋⣿⠀⠀ ⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠈⣦⣈⠻⠶⠆⣠⣿⣆⣤⢾⡄⣠⡾⠋⠀⠀⢸⡆⠀ ⠀⠀⠀⠀⠀⠀⠙⢷⣀⣀⡾⣻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⡟⠛⠛⠓⠉⠀⠸⠟⠁⠀⠀⠀⠀⠈⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⢱⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⢶⣿⡁⠀⠀⠘⢳⡖⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡄⠀⠀⠀⠨⣏⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⣭⠀⠀⠀⠀⢀⣀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡶⠶⢦⠌⣿⠛⠛⠛⠛⠋⡉⣿⠀⠀⢀⠀⠀⢠⡴⠶⠶⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣀⢀⡀⣽⡇⠤⠤⠒⠊⠀⣻⠄⠀⠘⠻⠶⠾⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⢐⡧⠀⠀⠀⠀⡠⣾⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠒⠒⠁⣿⠂⠒⠈⠉⠀⣾⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠄⠒⠹⡗⠂⠒⠒⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠒⠒⠒⢒⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⢀⣀⣀⣀⡀⠀⠀⢧⠀⠀⠀⠀⠀⡴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣰⠿⠒⠋⠉⠉⠀⠀⠀⠈⠉⠓⠾⢄⣀⠀⠀⢠⡇⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣩⠏⠉⠒⢒⣲⡤⠤⣀⣀⠀⠀⠀⠀⠀⠈⠑⢤⡘⡄⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀ ⠀⠀⠀⠀⠀⢰⠾⣣⠴⠚⠉⠉⠀⠀⠀⠀⠀⠉⠓⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣔⡿⡍⡇ ⠀⠀⠀⠀⠀⢸⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠆⠀⠀⢳⡀⠀⠀⠀⠀⠀⣀⡤⠞⠋⣡⠞⠉⠀⣇⡇ ⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠴⠒⠛⠓⠚⠉⠉⠉⠁⠀⣴⡟⠁⠀⠀⠀⣿⠁ ⠀⠀⠀⣼⣁⣠⡤⢴⠖⠒⠒⠦⠤⢴⣶⣢⠤⠤⠔⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⡞⠀⠀⠀⠀⢰⢿⠀ ⠀⠀⠀⠉⠉⢙⣦⠞⠀⡠⠞⠉⢉⡷⡄⠉⢙⡶⠃⠀⠀⠀⢀⣠⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⡼⠀⠀⠀⠀⠀⡜⡞⠀ ⠀⠀⠀⣤⡖⠛⠀⠀⡜⠁⠀⡴⢋⣀⣹⣠⠋⠀⠀⠀⠀⣰⣿⠿⠛⠛⠿⣿⣷⣄⡀⠀⠀⠀⠀⠀⡼⢰⠃⠀⠀⠀⠀⡼⢱⠃⠀ ⠀⢀⣴⠛⠀⠀⠀⢼⠁⠀⣼⢁⣿⡬⣿⠃⠀⠀⠀⠀⠐⠋⠁⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⣸⢃⡏⠀⠀⠀⢀⡜⢡⠏⠀⠀ ⠀⠸⡿⠀⠀⠀⠀⢻⡀⠀⠀⠀⠉⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠁⣀⡜⠁⡼⠀⠀⠀⡠⠋⣰⠋⠀⠀⠀ ⠀⠀⣧⠀⠀⠀⠀⠈⢳⣀⣙⣦⡤⠋⠀⠀⠀⠀⠀⠀⠀⣰⠄⠀⠀⠀⠀⠀⠀⢤⠀⣹⠌⢩⠏⢠⣇⣠⠴⠊⢀⡼⠁⠀⠀⠀⠀ ⠀⠀⠘⡆⢀⡴⠖⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠘⢧⣤⣾⣷⣿⣿⣿⣷⣦⡀⠀⢸⠀⠻⣾⠉⠀⠀⠀⠀⢀⣠⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⣥⠤⠦⠤⠤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠉⠛⠿⣿⣿⣄⣸⠀⠈⠻⣇⠀⢀⣀⠤⠟⠓⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡆⢧⡀⠀⠀⠀⠀⠀⠈⠙⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⣸⡍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢳⡄⠙⢦⡀⠀⠀⠀⣀⡤⠞⠁⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢦⣀⣉⣷⡚⠉⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⣴⠚⢁⡾⠋⠉⠳⢤⣀⢀⣀⣀⣠⠔⠋⠀⠀⠀⠀⠀⠀⣀⣠⠤⠖⠋⠁⢀⣺⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣷⡇⠀⡞⠀⠀⠀⠀⠀⡼⠋⠉⠁⠀⠀⣀⣀⠤⠴⠒⠊⠉⠉⠀⠀⠀⠀⠀⣼⣿⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢯⡛⢦⡀⠀⠀⠀⢀⡾⠥⠤⠔⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡆⣸⣹⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠀⢹⣶⣶⣖⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡿⠿⠉⠉⠋⠀⠀⠉⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠹⢤⣀⣀⣀⣀⣀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⣄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠙⠋⠩⠿⢿⣁⠀⠀⠀⠀⠀⠀ ⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠉⠑⠶⢤⣀⣀⣠⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣅⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀ ⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀⠀ ⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀ ⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀ ⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀⠀ ⠀⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⢠⠶⡄⣤⠀⠠⡄⢠⢦⡀⣀⣿⡀⠀⠀⠀⢸⣿⣿⠀⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⡇⠀⠀⣟⠀⢠⡇⢸⠀⠻⡏⠀⣧⠀⠀⠀⢸⣿⣿⠀⠀⠀ ⠀⢿⣿⡆⠀⠀⣿⣿⡇⠸⣀⠇⠙⠷⠞⠀⠼⠀⠀⠀⠀⠈⠃⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀ ⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⢀⣤⡶⣤⡴⠛⠳⡄⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⢸⣧⣀⣴⠧⡤⠼⠃⠀⠀⠀⣸⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⡇⠀⣷⠺⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠙⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
FUCKK BALLS ( ͜ₒ ㅅ ͜ ₒ) ({O})🍆 ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠟⢉⣕⡞⣼⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣳⡀⢻⣤⣴⣴⣶⣶⣶⣿⣿⣷⣤⣼⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣼⢧⣿⣦⠬⡜⣼⡝⣿⢹⣿⣿⡟⣁⡀⣴⣿⡟⣹⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣗⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢰⣿⢀⣿⢀⠨⢳⣷⢴⣧⣸⣟⡟⠉⢁⡾⠋⣀⡴⢃⡠⣠⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⠋⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣾⣧⢸⣻⠀⢩⡏⠀⣸⣯⣿⡿⠒⣲⠟⠘⣩⠿⣠⠏⣴⣿⢯⣟⣹⣄⡿⣿⣿⣿⠏⣿⣿⣿⣧⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠘⢸⡇⣰⣿⠏⣿⣀⡼⠧⢶⣶⣳⡞⢳⠞⣿⣣⠏⠀⢠⣞⣀⣸⣿⣿⠀⢻⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡦⣿⣷⣿⢹⠀⣯⣞⣧⣔⣯⣿⣯⡾⢃⣾⠟⠁⢀⣴⡟⢀⣼⡟⣾⡿⣐⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣸⣿⣧⢹⣾⣴⣿⠋⡇⢸⣸⣿⣿⣿⣿⣿⣿⣯⣶⠟⠋⢀⣴⣫⢏⣴⠟⣽⣿⡟⠀⠈⢹⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢳⠇⣿⣿⣿⣿⢹⡀⠃⢸⡜⣿⢹⣿⣷⣿⣿⡿⣷⠶⠚⠛⢛⡿⠋⣠⣾⣿⣿⣤⣦⣀⢸⡟⣠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢠⡞⣸⢻⣿⣿⣿⣾⣗⠄⠘⡇⣿⠚⠻⠿⠯⠿⠅⠀⠠⢄⠍⢨⡙⠊⠑⣿⣿⣯⣿⡿⠻⣿⢡⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣾⢣⡟⢸⠀⣿⣿⣷⣿⣦⠀⣷⣹⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠛⠿⠿⡿⣁⣼⣿⡟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢠⣇⣼⣿⣾⠀⣿⣿⣮⡛⢿⣧⣽⡿⣿⣷⡤⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠶⠆⣰⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⡼⣼⣿⡏⡟⣼⣿⣿⣿⡻⣿⠃⣸⡟⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢰⢳⢻⡿⣠⡷⣿⣿⣿⣿⡏⢻⣴⠏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣼⣿⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⡞⡞⣼⣷⢻⡇⣸⣿⣿⣿⡿⡟⠅⣴⣿⡟⢤⣀⠀⠀⠀⠀⠈⢿⡟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢠⢻⢁⡿⠇⣸⠇⣿⣿⣿⣿⣇⣿⠞⣡⣿⣧⣤⣽⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⡞⣸⠃⢀⣿⢀⣿⣿⣿⣿⣿⢥⣾⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠒⠺⠷⣏⡀⣼⡿⢸⣿⣿⣿⣏⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣯⠀⠀⠀⠀⣀⠀⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠻⣿⣿ ⠀⠀⠀⠀⠈⠙⠳⢿⣿⣿⡟⢉⣰⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢿⣿⣿⣷⣤⠖⠛⠉⠉⠀⠀⢸⡏⠁⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠤⢄⣀⠀⣨⡿⠟⢋⣿⡿⢯⣶⣝⣛⣛⣿⠿⢿⣿⢥⣠⠼⠻⣿⣟⣿⣿⣿⢿⣿⣿⡋⢤⡀⠀⠻⣌⣉⣻⣦⣀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⢀⣼⡟⠛⣛⣿⡿⠀⠉⢛⣻⣿⠿⠋⠀⢸⢹⠀⠀⠀⠀⠘⣾⣦⠉⠛⠷⢿⣿⣻⣦⡌⠢⡀⠘⣧⣙⡛⣿⣗⡚⠉⠉⠉⡇⠀⠀⢀⣀⣀⣠⣴⣿⣿ ⠀⠀⠀⢀⡤⡶⣿⠋⣽⠛⣿⡿⢁⣤⢶⡋⠉⠁⠀⠀⠀⢸⠾⠆⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠙⠛⣿⣦⡙⣏⠁⠈⣯⣙⠛⢿⣆⠀⣼⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢠⡟⢸⣷⣿⠉⡇⢀⣯⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠻⢿⣟⢧⡤⠶⠛⠋⠉⠻⣿⣽⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣶⣿⣧⣿⢃⠏⠀⡇⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⣀⠀⠀⠀⢻⡝⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣟⢿⣯⣎⠤⠔⡇⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢴⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⡄⢿⠦⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⡉⢿⣻⡄⢻⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣾⣇⠀⠋⡏⠀⠀⠀⠀⣀⡤⠴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣭⣻⣎⠀⠹⣵⡟⠙⠛⢿⣿⣿⣿⣿ ⣴⣿⣿⣿⣻⣿⣆⢰⠁⠀⠀⠀⠘⠁⣶⠿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠋⠀⠀⢻⣠⣴⠀⣼⡟⠛⠛⠛ ⣿⣟⠙⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠙⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣾⣿⠁⠀⠀⠀ ⡏⠁⠀⠘⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀ ⣄⠀⢀⡀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣷⣤⣀⠀⠀⠀ ⣿⣷⣌⢿⣷⣍⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠈⠊⣙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡟⣎⣻⣼⣷⡆⠀ ⣿⣿⣿⣷⣽⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠊⠉⠛⠷⢶⣤⣄⠀⠀⠀⢀⣠⣼⣿⣿⣿⣿⣷⣿⣿⡿⠿⠃⠀ ⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡦⢶⣄⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⢿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠙⣄⠀⠀ ⣸⣷⣿⣿⣿⢿⣿⣿⣿⣿⣿⡄⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀ ⠿⠿⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳ ⠀⠀⠀⠁⠚⠉⠛⠙⠛⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢹⡟⣿⣿⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⢹⣏⠀⠉⠓⠤⣄⣀⡠⠖⠋⢳⣀⣀⣀⣀⣀⣀⣾⣐⣈⣦⣀⣀⡤⠤⠖⠒⠒⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢸⠇⠸⣿⡄⡇⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠷⠶⠾⡊⠦⣄⣀⡤⠖⠉⠀⣀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⢧⠟⠀⠀⠙⢧⡵⠀⢀⣀⠠⠤⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠢⣤⣤⡴⠛⠉⠙⡆⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠒⠚⠛⠛⠛⠛⠒⠒⠒⠒⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⠋⠀⢀⣴⡾⠃⢀⠇⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⣜⠁⢀⣼⠛⠛⠤⣰⣫⠖⠀⡄⢸⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠘⢄⢸⢑⡷⢿⡿⢶⣄⠀⢈⠳⡄⣴⡧⢸⡏⠉⠳⡖⠲⠤⠤⢤⣄⣀⣠⡤⠴⠚⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠖⣚⣿⠀⠀⢄⡀⠙⠲⣍⣠⠋⠐⣠⣾⣿⢧⣴⣣⠏⣰⡿⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠴⠒⠉⠁⠀⠀⠀⠀⠀⠈⢷⡀⠐⠭⣗⡀⡴⢁⢀⣼⣿⠂⠉⠢⣴⣁⡾⠋⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠑⠦⢄⣀⠀⠀⠀⠀⠀⢀⣠⡤⢒⠯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠦⢄⡀⠙⠧⣴⡋⣠⠟⠒⣤⣠⢀⠝⣄⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠉⠉⠉⠉⢉⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣜⡽⠡⣤⣼⡯⣍⡉⢲⠊⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡰⠟⠋⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⢀⡇⡀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⣤⢞⡞⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡉⡏⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡍⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠿⠛⠋⢉⠉⡄⡐⢄⠢⢄⠡⢂⠔⡈⣉⠉⠛⠒⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⣋⠡⡐⢂⡘⠄⠃⡌⠐⡈⠄⡒⠈⡔⢁⠢⢁⠆⡘⠄⠣⢌⠠⢉⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⣋⠐⡂⠔⢂⡐⠡⡐⡈⢡⠐⡡⠘⡐⠌⡱⠐⡌⢂⠆⡘⢠⢉⡐⢂⠡⢂⠡⡈⠰⢙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⢡⠒⣀⠣⢐⠡⠂⠌⡡⠠⠑⢂⠡⠄⡑⠠⠡⢄⢃⠰⢈⡐⢁⠂⠆⡄⢃⠜⣀⠃⢌⠢⢁⡁⠚⢲⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠞⡡⢊⠄⡒⠄⠢⣁⠢⢉⢰⣴⡅⡘⠠⠒⡈⠄⢃⠡⢂⠌⡂⢡⠐⡈⢂⠢⣴⣷⡀⢂⠩⠄⡂⠅⣂⠩⠐⠸⢧⡀⠀⠀⠀ ⠀⠀⠀⣰⢏⠒⡰⢈⠰⠐⡨⠡⢀⢢⣼⣿⡿⠁⡄⢃⠂⠥⠘⢠⠑⡈⠔⡈⠆⡘⡀⠃⡄⠹⢿⣷⣆⡁⠢⠑⠢⠄⢊⠡⢂⠂⠵⡄⠀⠀ ⠀⠀⣼⢡⠊⠐⣤⠈⡄⢡⣤⣵⣾⣿⡟⠃⠐⠐⡄⠃⡌⢰⠉⡄⢢⠑⢨⠐⡌⢰⠀⢣⠐⢡⠈⠙⣿⣿⣶⣥⡆⠉⡄⢡⠈⡔⠂⠙⡄⠀ ⠀⢰⠃⡊⠤⢁⢰⣿⣿⣿⠿⠟⠛⡉⠠⣌⣴⠥⣤⡑⢈⠆⡠⠑⢂⣴⣨⣔⣤⣂⠉⣄⡶⣴⣌⡆⠌⡙⠻⠿⢿⣿⣷⣷⠈⠔⡈⠔⠳⡀ ⢰⡇⠆⡑⢨⢀⠂⡉⠂⠄⣢⡼⠚⠿⣿⣿⠿⠋⠀⣷⠀⢎⡐⢡⡏⠀⠀⠀⠀⣈⣷⡏⠀⠸⣿⣿⡿⠗⠳⢤⡂⠄⢡⠁⡌⢂⠱⠈⠄⢣ ⣟⠠⠌⠰⢁⠂⠜⠠⢑⡞⠁⠀⠀⠀⠀⠀⠀⣀⡴⢋⠜⡢⢌⡙⢦⣀⠀⣠⠺⣏⢄⠳⢤⡀⠀⠀⠀⠀⠀⠀⠙⣮⠀⢃⠄⡃⠤⠉⡄⠛ ⠿⢀⠊⡁⢆⠘⢠⠃⠸⣇⠀⠀⠀⠀⢀⡤⢞⣡⣚⣌⣎⢱⡊⣜⣱⠃⢈⣷⡄⠘⣮⠜⡢⢍⡳⣄⠀⠀⠀⠀⠀⣼⠐⢨⠐⠄⡃⢡⠈⡡ ⠠⠌⢂⠑⣀⡊⠄⢊⠡⠌⠳⠶⠶⢚⠭⣘⢾⡁⠀⠈⠹⢶⠛⠉⣀⣴⠿⣌⢻⡄⠈⢿⣡⢓⢦⡩⡙⠖⠶⠶⠛⡁⠌⠰⠈⠆⠡⠂⠥⠐ ⠠⢉⠄⢺⣏⠙⠚⢦⡁⢎⡑⢢⡑⢎⢲⡱⢪⢽⠇⠀⠀⢨⡷⢻⡙⣎⢳⡜⣣⢻⣆⠀⠻⣜⢦⠓⣭⢊⠵⡈⢆⠱⡈⢡⢉⠰⢁⠉⠤⢁ ⢀⠣⠌⡘⢧⡀⠀⣼⠃⡰⢌⠱⣌⠣⢞⡰⡿⠃⢈⣴⠞⡯⣜⢣⡝⢬⠳⡜⣥⠳⣜⡳⣄⠈⠳⣝⡤⢋⠖⣉⠆⡱⢈⠂⠄⠃⠌⢂⠅⢂ ⣆⠌⠒⡠⠌⢧⠀⠹⣄⠱⡈⠵⡈⣕⡮⠛⠀⣴⢫⠣⢏⠲⡡⣎⣜⣦⣳⣘⡴⢩⢒⡍⢞⡳⣄⡀⠙⠳⣜⣄⠊⣔⡢⠟⠚⠓⢮⡀⢊⠄ ⣯⠀⡃⠔⡨⢈⢳⡀⠘⠛⠲⡗⠛⠁⣀⡴⢞⢣⢣⡙⣬⣷⣿⡿⣿⣻⣟⣿⢿⣷⣍⠜⡢⢕⡊⡝⡲⣤⣀⠈⠛⠉⠀⠀⢀⣀⡤⠃⠤⢈ ⢻⡆⠁⢎⠐⢄⠂⡙⣦⠀⡴⠴⠖⡛⢩⠐⠣⢌⢂⣼⣿⣟⣷⢿⣻⣷⣻⣯⡿⣯⣿⣷⡁⢆⡑⢢⠑⡄⠊⠝⢦⡀⢀⣠⠞⠡⣀⠑⢂⢹ ⠀⣷⡍⠂⡜⢀⠒⡠⠘⡶⠃⡌⠒⣀⠃⡌⠱⢈⣾⣿⣟⣾⢯⣿⣟⣾⢯⣷⢿⣻⣾⣽⣿⠀⡘⢄⢃⠰⢉⢐⡾⠁⣸⠃⢌⠒⢠⠘⣠⠏ ⠀⠈⢷⣌⠰⢈⠤⠑⡰⠀⡅⠢⢑⡀⠎⣀⠃⠬⣿⣷⣻⣯⡿⢷⣛⣟⣻⢻⢿⣯⣷⢿⣾⡇⠐⡌⠄⠒⣠⠞⠀⣰⠇⡈⢆⡘⠠⢚⠎⠀ ⠀⠀⠈⢾⣰⠈⠤⢑⠠⡁⠆⠱⡀⢂⠱⢀⢊⠐⣿⣿⡿⣙⡞⣧⢏⣾⢵⣫⢞⡭⢿⣿⣽⠂⢡⣰⠼⠋⠁⣠⠞⣁⠢⢁⠆⢨⣹⠎⠀⠀ ⠀⠀⠀⠀⢧⡸⢀⠜⢠⢀⠛⡠⢘⡀⢃⠜⡀⢄⢸⣟⢧⡻⣼⢣⣜⣿⢼⣸⣛⡼⣇⣿⣧⡼⠟⠃⢀⣤⠿⠃⠤⢀⠸⡀⢸⢠⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⠘⡄⢢⠘⡠⢂⡐⡁⢢⠘⡠⢈⣿⢎⡷⣭⢳⣎⣿⢮⢵⡞⠉⠉⢹⣀⣠⠤⢚⠉⡄⢄⠃⡄⠃⢆⢜⡵⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠓⢦⡢⠑⡐⢂⠰⠐⢂⠂⡅⢂⡘⠻⣼⣎⡷⣮⡽⠾⢋⠡⣠⠴⢋⠉⠤⡘⠄⢃⡐⠂⡔⢠⣍⡷⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠣⣍⡐⢌⠂⠅⡒⢀⠃⠤⢁⠄⡈⢉⢿⠀⢠⠶⠛⡁⠢⣁⠊⠔⡠⠉⠤⣀⢧⡬⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢬⣆⣡⠈⢂⠅⡊⠰⢈⠤⠘⡇⣻⠀⠆⠡⡁⠄⢌⣂⢥⣸⠼⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠲⢦⠵⢦⣤⣧⡇⢽⣰⡬⢧⠶⠟⠞⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡀⢨⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⢇⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⡞⢀⣉⠁⠀⠈⠁⠘⠠⡀⢸⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⣞⠄⠒⠈⠉⠉⠐⠂⠀⠀⠈⠙⡀⠰⡀⠀⠀⠀⠀⠀⢀⣠⡴⣞ ⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣀⠼⠤⠤⠀⠐⢊⡴⠊⠀⣼ ⠀⠀⠮⢤⢒⠒⣒⠒⡲⠖⣒⡒⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⡿ ⠀⠀⣤⠚⠁⡜⢁⢞⣙⡠⠊⠀⠀⡴⠟⠻⢷⣦⡀⠀⠀⢀⢧⠁⠀⠀⡜⠇ ⠀⢼⠁⠀⢸⠀⠈⠸⣺⠁⠀⠀⠈⠀⠀⠀⠀⠙⢻⡆⢀⠌⠎⠀⢀⢎⠎⠀ ⠀⢸⠀⠀⣀⠣⠼⠤⠁⠀⠀⡀⢀⣆⣀⣀⠀⠀⡄⣇⡝⠹⠤⠒⡡⠂⠀⠀ ⠀⠀⢷⠭⠤⠀⣀⡀⠀⠀⠀⠉⠋⠉⠛⠿⣷⣄⠃⠹⣄⣀⡠⠾⠃⠀⠀⠀ ⠀⠀⢎⢦⡀⠀⠀⢈⡱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣢⢬⡶⡉⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⢀⠠⢺⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠁⠊⠀⠈⠱⠒⠂⠉⣀⠠⠤⠐⠒⠉⠁⢀⣶⠗⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢫⠗⢄⣀⠔⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠰⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠟⠉⠙⠀⠉⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⣤⠑⠤⠤⢤⣤⣀⡀⠀⠀⠀ ⡰⠁⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠒⠤⢀⣀⣠⠏⠀⠀⠀⠀⠀⠉⢶⡀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀
⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡿⠗⠀⠠⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠈⠑⢶⣶⡄ ⢀⣶⣦⣸⠀⢼⣟⡇⠀⠀⢀⣀⠀⠘⡿⠃ ⠀⢿⣿⣿⣄⠒⠀⠠⢶⡂⢫⣿⢇⢀⠃⠀ ⠀⠈⠻⣿⣿⣿⣶⣤⣀⣀⣀⣂⡠⠊⠀⠀ ⠀⠀⠀⠃⠀⠀⠉⠙⠛⠿⣿⣿⣧⠀⠀⠀ ⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀ ⠀⠀⠀⣷⣄⡀⠀⠀⠀⢀⣴⡟⠿⠃⠀⠀ ⠀⠀⠀⢻⣿⣿⠉⠉⢹⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⣠⣶⣶⣄⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⣀⣶⣿⣿⣿⣿⣿⣆⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⢀⣤⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⢀⣠⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠉⠉⠙⠛⠛⠻⢿⣿⡿⠟⠁⠀⣀⣴⣿⣿⣿⣿⣿⠟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⣉⣡⠀⣠⣴⣶⣶⣦⠄⣀⡀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⢃⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣾⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣾⡟⢡⣾⣿⣿⣿⡿⢋⣴⣿⡿⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⢡⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣼⣿⡟⣰⣿⣿⣿⣿⠏⣰⣿⣿⠟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢚⣛⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠸⣿⠟⢰⣿⣿⣿⣿⠃⣾⣿⣿⠏⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠻⠃⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢉⣴⣿⣿⣿⣿⡇⠘⣿⣿⠋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡘⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⠁⢀⣀⠀⢀⣾⣿⣿⣿⣿⣿⣿⠟⠉⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌ ⣿⣿⣿⣿⣿⣿⡿⠁⣀⣤⡀⠀⠈⠻⢿⠀⣼⣿⣷⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠟⠛⠙⠃⠀⣿⣿⣿⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿ ⣿⠟⠁⢀⣴⣶⣶⣾⣿⣿⣿⣿⣶⡐⢦⣄⠀⠀⠈⠛⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⣼⡿⢛⣩⣴⣶⣶⣶⣶⣶⣶⣭⣙⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿ ⠁⠀⣴⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣦⡙⠻⣶⣄⡀⠀⠈⠙⢿⣿⣷⣦⣤⣤⣴⣿⡏⣠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⠋⣠⠔⠀⠀⠻⣿⣿⣿⣿⢉⡳⢦⣉⠛⢷⣤⣀⠀⠈⠙⠿⣿⣿⣿⣿⢸⣿⡄⠻⣿⣿⠟⡈⣿⣿⣿⣿⣿⢉⣿⣧⢹⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⡇⠠⡇⠀⠀⠀⠀⣿⣿⣿⣿⢸⣿⣷⣤⣙⠢⢌⡛⠷⣤⣄⠀⠈⠙⠿⣿⣿⣿⣿⣷⣦⣴⣾⣿⣤⣙⣛⣛⣥⣾⣿⣿⡌⣿⣿⣿⣷⣤⣀⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣷⡀⠡⠀⠀⠀⣰⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣦⣌⡓⠤⣙⣿⣦⡄⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⣿⣶⣤⣴⣾⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⠀⣶⡄⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⣿⣿⠟⠻⣿⣿⡏⣉⣭⣭⡘⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡇⢸⡇⢠⡀⠈⠙⠋⠉⠉⠉⠉⠛⠫⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⠛⣿⣿⣀⣀⣾⡿⢀⣿⣿⣿⢻⣷⣦⢈⡙⠻⢿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡇⢸⡇⢸⣿⠀⣦⠀⠀⠶⣶⣦⣀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣦⣈⡛⠿⠟⣋⣤⣾⣿⣿⣿⣸⣿⣿⢸⡇⢰⡆⢈⡙⠻⢿⣿⣿⣿⠀⢿⡇⢸⡇⢸⣿⢠⣿⡇⣿⡆⢈⡙⠻⠧⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣝⠛⢿⣿⣿⣿⣿⣿⣿⠟⣁⠀⠀⢈⠛⠿⢸⣇⢸⡇⢸⡇⣶⣦⣌⡙⠻⢄⡀⠁⠘⠇⠘⣿⢸⣿⡇⣿⡇⢸⡛⠷⣦⣄⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡆⠀⠈⠳⢶⣤⣍⡉⠉⣩⣤⣤⡉⠻⢶⣤⣀⠂⠀⠉⠘⠇⢸⡇⣿⣿⣿⣿⣷⣦⣍⡑⠢⣄⠀⠈⠈⠻⠇⣿⡇⢸⣿⣷⣾⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⣦⣄⡀⠈⠉⠛⠶⢄⡉⠻⠿⣷⣦⣌⡙⠷⢶⣄⡀⠀⠈⠁⠙⢿⣿⣿⣿⣿⣿⣿⣷⣦⣍⡒⠤⣀⠀⠈⠃⢸⣿⣿⣿⣿⣷⠀⢸⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿ ⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠈⠉⠂⠄⢙⣿⣿⣷⣦⣈⠙⠳⢦⣄⡀⠠⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣌⡐⠄⢸⣿⣿⣿⣿⣿⡇⠀⣿⠿⣿⣿⣿⣿⣷⣌⠻⣿⣿⣿⡿⢰⣦⣤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⡀⠀⠀⠀⠉⠛⠛⠛⠿⠷⣤⣈⠛⠷⢤⣈⡂⢄⡉⠻⠿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣌⡛⠿⣿⣿⡇⠀⢿⣷⣌⡛⠿⠿⠏⣼⣷⣤⣉⣉⣀⣼⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⢀⣤⣶⣦⣤⣤⣄⡈⠙⠻⠖⠀⣉⣩⣤⣤⣤⣤⣤⣤⣀⡈⠉⠙⠻⣿⣿⣿⣿⣶⡄⠉⠀⠀⣸⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⣴⣿⣿⣿⣿⣿⠟⣩⣽⣿⣿⣿⣷⣦⣀⠀⠙⢻⣿⣿⠇⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⠏⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠉⠻⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⣿⣿⡿⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣦⡀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢀⣙⣟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣛⣻⣦⢀⣀⣙⣛⣛⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀ ⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀ ⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀ ⠀⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⢿⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀ ⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣠⣤⣤⣤⣤⣀⠲⢦⣄⡀⠀⠀ ⡶⢟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠰⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⡛⢷⣔ ⣾⡿⠟⠋⠉⠁⠀⡀⠀⠀⠀⠀⠈⠉⠉⠙⠛⢻⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⢛⣛⣛⣛⣛⣉⢉⣉⡀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣷⣝ ⠃⠀⠀⠀⠀⠀⠀⣛⣛⣛⣛⣛⣛⢛⡛⠛⠛⠛⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣌⠛⠛⢛⣛⣛⣛⣛⣛⣛⣛⣓⣀⠀⠀⠀⠀⠀⠈⢻ ⠀⠀⠀⢀⣤⡾⠛⢻⣿⣿⣿⡿⣿⡟⢻⣿⠳⠆⠘⣿⣦⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠐⠛⣿⡟⢻⣿⣿⣿⣿⢿⣟⠛⠻⣦⣀⠀⠀⠀⠀ ⠀⠀⢴⠿⣧⣄⣀⣘⣿⣿⣿⣿⣿⡿⣀⡙⢷⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⡖⠀⣾⣋⣀⣺⣿⣿⣿⣿⣿⣏⣀⣤⣴⠿⢷⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠉⠉⠉⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠆⠀⠀⢀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠁⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⣤⣴⣶⣾⠿⠛⠋⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⢀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⠏⠁⠹⠿⣧⠀⣰⠋⠁⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⡇⢻⢠⣯⠀⠀⠈⢂⢻⡐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⢰⡗⠀⠀⣼⣁⣾⢸⡇⠀⠀⢀⣼⢨⡇⢀⣾⡴⠿⣯⠀⠀ ⠀⣴⠿⢛⡿⣦⡘⣧⡀⠀⡼⣳⡟⢸⣇⠀⢠⣈⠍⣹⣿⣾⠙⠀⢢⠹⣧⠀ ⠀⣿⠀⠀⠸⡮⢻⣎⠻⢷⡿⠋⠀⠀⠙⠳⢾⣿⠞⠁⣿⠁⠀⠀⠸⠃⣿⠀ ⢠⣿⡄⠀⠀⢸⠸⣏⠀⢀⣴⣾⡿⣿⣦⣤⣦⣤⣄⠀⢹⡆⠀⠀⠀⡆⣿⠄ ⠀⢿⣏⠁⠀⢸⣣⣿⢀⣿⠋⠀⠀⠀⠉⠉⠉⠉⠻⣷⠀⢿⡄⢀⡞⣠⡟⠀ ⠀⠐⢿⣯⣀⡾⠛⢃⣼⡏⠀⠀⠀⠀⠀⠈⡆⠀⠀⢿⣧⠸⠿⣿⠾⠋⠀⠀ ⠀⠀⠀⠈⠉⢣⣶⡿⠛⠀⠀⠀⠀⠀⠀⠀⠉⢶⣤⡈⢻⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡽⢿⠁⢰⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣶⣦⣄⡀⠀⠀⠀⠰⣿⣏⣤⣞⣀⣼⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⢿⣦⣄⣤⣴⡾⠛⠉⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠄⠀⠀⡀⠈⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢴⡀⠐⠀⠀⠀⠀⠀⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠈⠁⠁⠐⠄⠏⢣⠁⠀⠀⠀⠀⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢅⠀⠀⠀⠞⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⢀⡤⣄⡞⠁⢹⠀⠀⡀⡀⠐⠀⠁⠂⠒⠊⠁⠂⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣀⣀⣀⠀⠀⣀⣀⣀⠀⢸⠀⠀⠀⠀⠀⠀⡤⢌⠽⣄⠀⠂⡘⠀⠀⠀⠀⠈⡀⠁⠀⠀⠀⠂⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡃⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⢸⠀⠀⠀⠈⣏⡈⠀⡸⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⢤⣀⣠⠄⠀⠀⠀⡎⠀⠈⠀⠀⠀⠉⠙⠃⠀⣀⡪⠴⠒⡶⠒⠒⣖⠄⡄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⡀⠀⠀⠀⠀⠀⠀⣀⠜⠀⠀⠀⠀⠀⠀⠀⢀⡖⠁⠀⢀⡴⠋⠀⠀⠄⠀⠑⠤⠈⢳⡀⠁⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠆⠈⣩⠙⠒⠊⠉⢐⠑⠢⣀⣀⣀⣀⣀⣀⣎⢀⠀⠀⠀⠀⣷⠀⠀⠀⠀⣿⠀⠀⢀⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠠⡀⠁⠀⢀⠀⠀⢀⣅⡀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠿⠀⠀⠀⢘⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠉⠢⠄⡐⠩⡢⣀⢠⠀⠈⠑⠢⠄⠤⠤⣇⠀⠀⠀⠀⠀⠀⡤⠒⠒⢆⠀⠠⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⣸⠁⠀⡔⠀⠉⠕⠁⠉⠐⠢⠄⡀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⣿⢲⡖⠋⠀⠀⠡⠀⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⢺⣤⣀⡜⠀⠀⠀⠀⠀⠀⠀⠉⠒⠠⢄⣈⢧⡀⠀⠀⠀⣿⠘⠃⠀⠀⠀⣀⣜⡠⠤⠖⠒⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠉⠉⠉⡃⠒⢄⣀⡀⠀⠀⢀⣀⣀⡤⠞⠋⠉⠉⠒⠛⠒⠒⠒⢉⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠤⣀⠀⠀⠀⠃⠀⡁⠒⣤⣤⠝⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⢀⠀⡀⠠⠔⠒⠊ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠉⢹⠓⠤⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠋⠚⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⡎⡁⠀⡰⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⢐⠀⠇⠀⡇⠱⡀⠀⠀⠀⡀⠀⠈⠷⣆⣀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠇⠀⡇⢸⠂⠀⠙⠶⡖⣄⣷⡄⠀⢜⠝⠛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⠀⠀⠀⠀⠠⠀⠀⡗⠏⠀⠀⠀⣠⠏⢇⠈⠻⣦⡓⠂⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⢀⠁⠀⡸⢠⠁⠀⠠⠎⡝⠀⠈⢇⠀⠐⡟⠛⠲⢾⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⡅⠀⢠⠁⠀⠀⠀⠀⢐⠁⠀⠀⢇⣂⠀⣧⢠⠀⢸⢼⠤⣀⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠓⠋⠀⠀⠈⠺⠤⠤⣀⣀⡅⠀⠀⠀⢸⠀⠁⡏⢀⣴⠘⣾⠀⠀⠀⠈⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠂⠒⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⡀⠀⢀⡀⠀⠀⠀⠀⢀⠀⣀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡇⠿⠃⠉⠁⠀⠀⠀⠀⠉⠈⠉⠐⠂⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⣀⣀⣀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⡀⣡⣤⡖⠒⠛⠒⠓⠒⠛⠒⠒⠦⣤⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠓⠀⠈⠉⠉⠀⠀⠀⠀⠉⠁⠈⠛⠲⣾⣼⡄⠀⠀ ⠀⣸⣯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠿⠿⡿⠿⠿⠩⠍⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠀⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡇⠀ ⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡌⠹⡀⢀⡀⠐⠒⠐⠂⠂⠀⠀⣤⣶⣲⣶⣤⣤⣤⣶⣿⣤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣷⡀ ⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣄⣿⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⣾⢃⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣉⠲⣹⡇ ⣻⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣋⣙⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣻⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠠⣀⠣⢽⡃ ⣹⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡆⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡟⢁⣬⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠡⢄⡋⢾⡇ ⣹⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣄⣻⢿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣘⣛⠛⢹⣟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡈⠰⠌⣜⣹⠆ ⣹⠆⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣯⡿⠈⠁⠉⠒⠂⠀⠀⠀⠀⠀⠒⠋⠉⣭⠉⢻⣿⡽⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢀⢣⡙⢤⢻⡇ ⢽⡃⢂⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣙⠇⢠⣶⠶⠀⠀⠀⠀⠀⠀⠀⣦⡀⣰⣿⡇⠀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⠄⣃⠲⢌⢧⢻⡆ ⣻⣧⠈⡔⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣼⡏⣿⢴⣆⣀⣀⣀⣠⣬⣽⡟⣿⢻⣧⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⠜⣠⠙⡬⢎⣿⠆ ⠙⣷⠌⠤⣁⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⢸⠈⠉⠉⠋⠹⠏⠀⠈⠁⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠐⡨⢐⠦⡹⣜⢫⣾⡇ ⠀⣿⡏⠶⡀⠶⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠁⠀⠀⠀⠰⡆⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠸⡀⢇⡎⣱⠎⣿⡿⠁ ⠀⢸⣯⡒⣅⠊⠤⡈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⠁⠀⢠⣆⢸⡝⣦⠀⠀⠀⠠⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠰⢡⠘⠦⡜⣥⢻⣾⡇⠀ ⠀⠀⢹⣷⡌⢣⠆⡁⠆⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⢨⠆⡸⣧⣻⣯⡧⣽⡀⢀⠰⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡌⢑⢢⠙⡼⡱⢎⣿⣿⠃⠀ ⠀⠀⠀⠾⣯⡑⡎⡔⠩⢄⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣮⢇⣹⡾⠛⠛⠛⢧⢻⣦⣢⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡁⠎⡠⢃⡌⢣⠳⣭⢻⣿⠿⠀⠀ ⠀⠀⠀⠀⠛⣷⡱⢎⠵⡈⢆⠡⠌⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣾⢫⡔⠡⢀⠂⠢⢩⢻⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⢁⠂⡜⠠⣅⠣⡜⣡⢟⣼⡿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⢿⣏⡶⣍⢆⠣⡜⠰⡀⢆⡐⠠⠀⠄⠀⠄⠠⠀⢾⣿⡇⡆⣁⠂⠌⡑⢬⢳⣿⠆⡜⡠⢡⠐⡀⢂⡁⠎⡐⠡⢌⠒⡌⡱⢂⢳⣸⡱⣾⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⢷⣞⣬⠳⣌⠧⣉⠦⡰⣁⠣⢌⠰⡈⢆⡑⢾⣿⣗⡇⠠⠌⡐⠌⣰⢻⣿⣙⢦⡱⢢⠜⡠⢃⠔⢢⢁⠣⣌⠲⣡⢣⡝⣦⣳⡿⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣟⣬⠳⣍⠶⡱⣌⠳⣌⠱⣘⠤⢎⣿⣿⠗⡌⣁⠢⠠⠑⢤⢻⣿⣻⣮⢵⣣⢞⡡⣍⢎⡱⣊⠵⣌⡳⢦⣳⣾⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⠿⣮⣳⡽⣘⡳⣬⢳⣱⡺⣝⣾⣿⢍⡒⠠⢀⠁⠎⣌⠳⣿⠹⢿⣷⣹⣎⡗⣞⢮⣳⣹⡾⠵⠿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠛⠛⡷⠯⠷⠯⠷⣿⠛⣿⢸⠆⡁⠂⠌⠰⣸⢍⣿⠆⠀⠈⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢬⡓⠠⠁⢈⠱⣸⡎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠌⣧⠁⡃⢀⠲⡽⣘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡘⢬⢃⣇⣨⡘⡗⢬⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣶⣶⡿⣷⢿⡿⣾⢿⡿⣿⢾⡿⣶⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⡿⣟⢿⣻⠻⣝⣣⠟⣜⢣⡛⣜⢣⡝⣎⠳⡝⣮⠽⣹⣛⢿⡻⣿⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣶⣶⣿⣿⣿⡿⣭⢷⡹⣎⡳⡝⣎⠶⡙⡬⢣⠹⣌⠳⡸⢌⡳⡙⢦⡛⣥⢛⡮⢷⣹⡞⣽⣿⣟⣷⣶⣶⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣆⣿⣇⢶⣻⡇⠀⠈⠛⠛⠛⣁⣴⠟⠷⢶⣤⣤⣀⣀⣾⡄⠀⠀⠀⠈⣣⡀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⣯⣤⣤⣤⣴⠶⠟⠋⠁⠀⠀⠀⠀⠈⠉⠉⠉⠻⣦⣤⣄⣤⣬⡿⣦⣄⡀⠀⠀⠀⣠⣾⡛⠁⠀⠀⠀⠀⠀⠀⣀⣠⣤⣿⠃⠀⠀⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠉⠛⠛⠛⠛⠋⠉⠛⠛⠻⠿⠛⠛⠛⠛⠋⣩⡿⠃⠀⠀⠀⠈⠉⠉⣛⠛⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠃⠀⠀⠀⠀⠀⢠⣶⠿⢷⣦⡀⠙⢻⣦⡀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⠀⢀⣠⣤⣀⠀⠠⣿⣏⣿⢆⣿⠇⠀⠀⠙⣿⡄⠀⠀⠀⠀⣼⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢸⡟⠀⢀⣿⢿⠍⡛⢿⣆⠈⠛⠿⢿⣯⣤⣄⡀⠀⠘⣿⠀⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠘⣿⠸⡂⢅⠚⢿⡆⠀⢠⡿⠋⠍⡙⢿⡆⠀⢻⡇⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣧⠀⢻⣧⡑⢢⡜⣸⡿⠀⠸⣷⡩⠲⢑⣾⠇⠀⢸⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠙⠿⣦⣵⡿⠃⠀⣠⣽⣿⣿⡟⠋⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣦⣄⡀⠀⠀⢸⣿⢱⣦⢹⡷⢀⣤⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠶⠦⠿⠿⠾⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⢿⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⡿⣽⣻⡽⢯⡿⣽⣫⡟⣽⣫⢟⣽⢫⡟⣽⢫⡟⣭⡻⣭⢻⡭⢯⡽⣭⢯⡽⣭⠻⣜⡣⢟⣜⡣⢟⡜⣣⢛⡜⣣⢛⡜⣣⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⡱ ⣿⣷⣻⣟⣾⣳⢿⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⡷⣯⣟⡷⣯⡽⣯⢷⣏⡷⣽⣣⢯⣟⢮⣯⢽⣚⡷⣹⢧⣻⡜⣧⣛⢧⡻⣜⢮⡳⣭⢻⡔⣏⡳⢎⡝⢮⠼⣱⢫⠼⣱⢫⡜⡱⢎⠶⡱⢎⠶⡱⢎⠶⡱⢎⠶⣙ ⣿⢿⣽⡾⣷⣟⣯⢿⡾⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⣞⣯⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣽⣻⢾⣽⣻⢾⣽⢾⣯⢷⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⢯⣟⡷⢯⣟⡷⣻⣵⡻⣾⣱⢷⣫⠷⣞⢯⡞⣧⢟⡼⣏⢷⣣⢟⡵⣫⢞⡽⣎⢷⡹⣞⢣⡞⣱⢭⡛⡼⣙⡞⣥⣋⢗⣣⠳⣜⡹⢎⡳⣙⢎⡳⣙⢎⡳⣙⢮⡹⣒ ⣿⣯⣷⢿⣳⣯⣟⣯⡿⣽⢯⣿⢾⣽⣻⢾⣽⣻⣞⡷⣯⢷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢯⣷⣟⡿⣞⡿⣞⣯⡿⣞⣷⣻⣞⣷⣻⣞⣷⣻⣾⣽⣿⣾⣿⣿⣾⣿⣷⣿⣷⣯⣟⣾⣭⢿⡹⣾⣹⢮⣏⢷⣫⢞⡵⣫⢷⡹⣎⢷⡹⣎⠷⡭⢮⡕⣏⠶⣹⢱⢣⠞⡴⣩⠞⡴⣋⠶⣙⢮⡱⣍⢮⡱⣍⢮⡱⡍⢶⣑⢣ ⣿⡾⣽⡿⣽⡾⣽⣳⡿⣯⣟⣾⣻⢾⣽⣻⣞⡷⣯⢿⡽⣯⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣟⣾⣽⣻⡽⣟⣯⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣛⡾⣼⢣⡟⣮⢳⡝⣮⢳⡝⣮⠳⣭⢛⡼⢣⢞⡬⡳⣍⢎⢧⡛⡴⢣⡛⡴⣍⢞⡱⢎⡵⣊⠶⡱⢎⡖⣱⡙⢦⡍⡖ ⣿⣻⣽⣟⡷⣟⣯⡷⣟⡷⣯⢷⣻⣟⣾⣳⢯⡿⣽⢯⣟⡷⣯⢷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⣟⣯⡷⣯⣷⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣵⣫⢞⡵⣏⢾⡱⢯⡞⡵⣛⢦⣛⡼⣍⠾⣰⠳⡜⣎⠶⡹⣜⢣⡝⡲⣍⢮⡱⢫⠴⣩⠞⣡⠳⡜⡥⣚⢥⡚⡜ ⣿⣽⣳⣯⣟⣯⡷⣟⣯⢿⡽⣯⢷⣻⢾⡽⣯⢿⣽⣻⢾⣽⣻⢯⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⢿⡽⣞⣯⢿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡽⢮⡝⣧⡛⣵⡩⢖⣣⠞⣬⠳⣥⢛⡼⣌⢳⡱⢎⢧⡚⡵⣊⠶⣉⢧⢛⡤⣛⠴⣋⠼⡱⡜⣆⢧⡙ ⣿⢾⣽⡾⣽⣳⣟⣯⣟⣯⢿⡽⣯⣟⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⡞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⢿⡽⣯⣟⣯⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⢟⠶⣙⢦⡛⡵⢪⡝⢦⡛⡴⣋⠶⣩⢖⡹⢎⠶⡹⠴⣩⠞⡱⢎⡣⠞⡴⢋⡼⣡⠣⡵⣈⠦⣙ ⣿⢯⣷⣟⣯⡷⣯⣷⣻⣞⣯⣟⣷⣻⣞⡿⣾⣽⣻⢾⡽⣻⡞⣷⡻⢷⣛⣾⣳⣟⣾⣳⣯⡿⣽⢯⡿⣽⣳⣟⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣟⣿⢻⡽⢺⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢯⡹⣆⠻⣜⢣⠞⣥⢛⡴⣩⢞⡱⢎⡵⢋⡞⣱⢋⠶⣉⠷⡩⢞⡱⣘⠣⢖⡡⢓⡴⣉⠖⣡ ⣿⣻⢷⣻⡾⣽⢷⣯⢷⣻⢾⡽⣞⡷⣯⣟⣷⣳⢯⣟⢾⣳⢟⣳⣟⣯⣟⣾⣳⡽⣞⡷⣯⢿⡽⣯⣟⣷⣻⣞⣿⣿⣿⡟⢥⠲⡝⣾⣟⣿⣿⣻⣿⣟⣿⣯⢿⣞⣷⣻⣽⣚⠷⣘⢧⡚⡕⢦⢫⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⢣⡭⢳⢬⢣⡛⡴⣋⠶⡱⢎⡵⢋⡜⣣⠞⡥⢫⡜⡱⢎⡱⢎⠴⢣⡙⢦⡙⢦⠱⣌⠚⡤ ⣿⣽⣻⢷⣻⢯⣟⡾⣯⣟⣯⢿⣽⣻⢷⣻⢮⣽⣳⢯⣻⣭⡟⣷⣞⣳⣞⡷⣯⢿⡽⣽⣏⣯⣟⣷⣻⣞⣷⣻⣿⣿⠫⠄⣉⣳⣽⣼⣿⣿⣿⢿⣟⣿⢯⣟⡿⣞⣷⡳⢞⡜⢢⠏⡖⡩⢞⡥⣛⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢣⢞⡱⢎⢧⡙⢶⡩⢞⡱⣋⠶⣩⠞⣡⠞⣱⠣⡜⡱⢊⠖⡩⢎⡱⡘⠦⡑⢎⡱⢌⡓⡔ ⣿⢾⣽⣻⣯⢿⣽⣻⢷⣻⣞⣯⢷⡯⣟⣞⡿⣼⢏⣯⢷⣳⣻⣳⣞⢷⣫⣟⡷⣯⣟⢷⣻⢮⡽⣞⣷⡻⣞⣿⣿⠁⠳⢾⣧⣽⣞⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⣿⡝⣮⢞⡳⣎⠳⡵⢊⡴⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢮⠳⣍⠶⣙⢦⡙⣎⠵⣊⠗⡱⢎⡱⣊⠥⡓⣬⢱⡉⢎⡱⢊⠴⣡⠣⣙⠢⡑⠦⡱⢌ ⣿⢯⣟⡷⣯⣟⣾⡽⣯⢷⣻⣞⣯⣽⣻⣼⣛⣾⣛⡾⣏⡷⣏⡷⣞⣯⢷⢯⡽⣶⢯⣛⣧⢿⡽⣳⢾⣽⣻⣿⠃⢉⡷⣿⣹⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⡿⣯⢟⡞⣞⡳⣜⣫⡑⠳⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢌⡳⢬⢳⡩⢖⡹⡸⡜⡡⢏⡕⢎⡱⣉⠖⡱⢢⠱⡘⠦⡑⣍⠲⢄⠳⣄⢣⡙⢆⡱⢊ ⣿⣯⢿⡽⣷⣻⣞⡿⣽⢯⣷⣻⢮⢷⣳⣳⠿⣜⣯⢷⣏⡿⣽⣹⢯⣞⣯⢯⣟⡾⣽⣛⣾⣫⡽⢯⣷⣫⣿⡟⢠⣯⣄⢿⣿⣿⣿⡧⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡱⢦⡝⢳⡒⠦⡄⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡱⣋⠶⣙⢎⡵⢱⠱⣙⠲⡘⢎⡱⢌⢎⡑⢣⠱⣡⢣⡑⠦⡙⣌⢃⢆⠣⡜⠢⣅⠣ ⣿⣞⣿⡽⣷⢯⡿⣽⣻⣟⡶⣯⢟⣯⣗⡯⣿⠽⣞⣯⢾⣝⡧⣟⡧⢿⣜⡯⢾⡽⣞⡽⣶⢏⣿⣛⡶⣯⣿⠇⠿⢱⣿⢸⣿⣿⣡⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣎⠧⡝⢲⠱⣌⡠⢘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠳⣍⢞⡱⢎⠴⣋⢜⣢⡙⡱⢣⠜⡌⠦⣙⢂⠳⡐⠦⣑⢣⠱⡌⠎⡜⢢⡑⢣⠆⢣ ⣿⡾⣽⣻⡽⣯⣟⣷⣻⠾⣝⣳⣟⣞⡾⣽⢞⡿⣽⣺⣝⣮⡽⣞⡽⣏⡾⣝⣯⠾⣽⣹⢞⣟⣮⢿⣱⢯⣿⠀⣐⡊⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣜⢣⠷⢤⡡⠉⠆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡵⣊⢮⡱⢍⡲⢩⡒⢤⢣⡑⢣⠚⢬⡑⢢⢍⠲⣉⠖⡡⢎⠱⡘⡜⣠⠣⣘⢂⢎⡡ ⣿⡽⣷⢯⣟⣷⣻⢾⣽⣻⡽⣳⢾⣝⡾⣭⢿⣹⢧⢷⢾⣱⡟⡾⣵⢏⣷⢻⡼⣻⡵⢯⣾⣹⢮⣯⣻⣿⣧⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣶⣭⡞⢣⢏⣬⡱⡌⢒⡠⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢲⠍⣦⠱⡎⡜⣡⠚⡔⢢⡙⢢⡙⢦⡘⢥⢊⠵⡨⠜⡐⢎⠱⡐⢆⡡⢒⡡⢊⠴⡐ ⣿⣳⣟⡾⣽⢯⣟⡾⣽⣫⢷⣻⣞⣽⣳⣛⣞⢯⣞⠾⣼⢏⣷⡳⡽⣞⡽⣞⢧⡿⣱⠾⣭⡟⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠾⢞⡩⣇⠣⠌⡑⢺⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⡑⢎⡴⢩⡒⢥⠣⣍⠲⣑⠪⡑⢎⡱⢨⠱⡌⢚⠤⢃⠲⡑⡌⢆⠓⡌⢃⠎⡱⠘⡄⢣ ⣿⡽⣞⡿⣽⣻⢾⣽⣳⢯⣟⡵⣞⣧⢷⡻⣼⢏⣾⢻⡽⣺⢧⢿⣹⢾⣹⡞⣯⠾⣝⡯⣗⢿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣖⣿⢯⢀⢒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡶⡷⣎⠷⣤⢓⡒⣩⢒⣿⣿⣿⣿⡟⡹⠋⢴⣆⡘⣿⣷⣏⢲⡘⢥⡙⢆⠳⣨⠱⠌⡥⣙⠢⣅⠣⢃⠍⡆⠣⠍⠦⡑⠌⡌⠱⡈⠆⡜⢠⠃⡜⢠ ⣿⡽⣯⣟⡷⣯⣟⡾⣵⣻⠾⣽⣻⡼⣳⢏⣷⢻⢮⣏⡷⣏⢿⡺⣽⣚⣧⢟⣧⢿⣹⢾⣹⢾⣹⢟⡿⢥⣼⣿⣿⣿⣿⣿⣿⣿⣿⢳⠚⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣭⡛⠿⡵⣉⠞⣩⠳⢦⡀⢎⣽⣿⣿⣿⣇⢠⣅⠮⠿⢿⠿⣿⣗⠦⣙⢢⡙⣌⠳⣄⠫⡜⡰⢡⠣⡔⢩⢊⠜⡰⢩⠘⡰⢁⠞⡄⢣⠑⡌⠔⡡⢊⠔⡡ ⣿⣽⣳⣯⣟⡷⣯⣟⣳⣽⢻⣳⣭⠷⣏⣟⡮⣟⡽⢮⣗⢯⡯⢷⡳⣏⣾⢫⣞⣳⢯⢾⣹⡞⣽⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡭⣇⡋⡔⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢮⡓⢦⡙⣷⡳⣬⣦⢥⡛⣤⡙⣦⣿⣿⣿⣿⣏⣿⢸⣿⣿⣿⣿⣾⣿⡜⣌⠣⣜⠰⢣⢌⡱⢢⢙⣂⠳⢌⡡⠎⢆⡑⢢⠡⡑⢊⠴⡈⢆⠱⣈⠒⡡⠎⡰⢁ ⣿⣞⣷⣻⢾⣽⣳⢯⣷⢫⣯⢷⣚⣯⡽⣞⡵⣯⢽⡻⣼⣛⠾⣯⢽⡳⣽⢻⡼⣽⡺⣏⡷⣽⢣⣟⡞⣿⣾⣥⣿⣿⣿⣯⣿⡳⢷⡈⡑⠌⢠⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣶⣍⢏⡞⣴⣙⣦⡹⢆⣿⣴⣽⣾⣿⣿⣿⣿⠐⡻⢷⢩⣿⣿⣿⣿⣿⡗⣨⠱⣌⠹⣂⠎⡔⢣⢌⠢⢃⠆⢢⠍⢢⠘⡄⢣⠘⣐⠢⡑⢌⠢⡁⢎⠰⡁⢆⠡ ⣿⢾⣳⣯⢿⡾⣽⣻⣼⣻⢞⣽⣹⢶⣻⢼⣻⢼⣳⡻⣵⣫⢟⡮⣗⣻⡼⣳⡽⣖⣻⡝⣾⡱⣟⢮⣽⡟⢻⣿⣿⣿⣟⣿⣯⢳⣦⣷⣶⣿⣿⢿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣼⣆⢳⣎⠿⣖⣾⣿⣾⣿⣿⣿⣿⣿⡀⣟⢈⣦⣹⣿⣿⢿⣿⠓⡤⢓⣌⢣⠱⡊⢜⡂⢎⡱⢊⡜⢄⠚⡄⢣⠘⡄⢃⠆⡱⢈⠆⡱⢈⠆⡱⢈⠄⡃ ⣿⢯⣟⡾⣯⣟⡷⣯⢶⣏⣟⡮⣗⣻⡼⣏⡾⡽⢶⡻⣵⢫⣾⡹⣞⡵⣫⢷⣹⢞⡵⣻⢖⣻⡝⣾⣿⠁⠰⠟⣿⣯⢸⣿⣯⡧⣴⣠⣴⣶⣦⣄⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿⣿⣿⣮⣷⣾⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣟⠃⢿⣿⠟⣽⣿⣿⠣⡙⡔⢣⠜⣢⠣⢍⠢⡙⢄⢢⠡⡘⢄⠣⡘⢄⠣⡘⢄⠊⡄⠣⡐⢄⠃⡔⢠⠃⡌⡐ ⣿⢯⡿⣽⣻⢾⡽⢯⡷⣞⢧⣟⣭⠷⣝⡾⣱⠿⣭⢗⣯⢳⡞⣵⡻⣼⣛⢮⡗⣯⡝⣧⡟⣧⢻⡞⣿⠀⠀⣦⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣹⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣛⣷⠿⣫⣾⢃⠧⡱⡘⢥⠚⣄⠳⣈⠱⡈⢆⠢⡑⢌⠢⡑⢌⠢⡑⠰⡈⢆⠡⢃⠌⡂⠜⡠⢂⠅⢢⠁ ⣿⢯⣿⣳⣟⣯⣟⣯⠷⣏⡿⡼⣞⢯⣻⠼⣏⣟⢮⣻⡜⣯⢞⣳⡽⣣⢯⣳⢻⡼⣽⢲⡟⣼⡳⣏⢿⣆⠀⢿⣿⣿⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠶⢟⣿⢅⠺⡰⢡⡙⠤⢋⠤⠓⡄⢣⠘⡄⢣⠘⡄⢣⠘⠤⡑⢨⠑⠌⡄⢃⠢⡘⠄⡃⠔⣁⠊⡄⢃ ⣿⣻⣞⡷⣿⢮⡽⣞⣿⡹⣞⡽⣞⢯⣳⢻⡝⣮⢟⡶⣻⡝⣞⣧⢻⡵⣫⣗⢯⣳⡭⢷⣫⢷⡹⣎⡯⢿⣆⠘⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢀⢻⡯⢌⢣⡑⢧⠘⡥⢋⠌⡓⢌⠢⡑⢌⠢⡑⢌⠢⢉⠆⢡⠂⡜⡐⢌⠂⡅⠢⡑⠌⢒⡀⠣⠌⡄ ⣿⣳⢯⡿⣽⣏⡿⣽⣲⢟⡽⣞⣭⢷⣫⢟⡼⣏⡾⣳⢧⣛⢷⡺⣝⡾⡵⣞⢯⡖⣯⡳⣝⡮⢷⡹⣞⣻⣿⡄⣿⣿⣿⡟⢛⣫⣿⣿⣿⣿⣿⣿⠟⣿⠛⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⣹⡟⣌⠲⣡⠊⡕⢢⠡⢚⠰⡈⠖⡡⢊⠔⠡⢂⠱⡈⢌⠂⡅⢒⡈⢄⠣⡐⢡⠂⢍⠂⡌⢡⠒⠠ ⣿⡽⣯⣟⡷⣯⢷⣳⡽⢾⣹⡞⡽⣎⡷⣫⡽⣞⡵⣛⣮⢟⣮⢽⣣⢟⣵⢫⡾⣹⢖⣯⢳⡝⣧⢻⡜⣷⣿⣿⣿⣿⣿⣴⣿⡿⡏⢻⣿⣟⣤⣽⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠠⢚⡯⣐⠣⢆⠹⣠⢃⠣⢌⠢⡑⠌⠴⢁⢊⠱⡈⢆⠘⡠⢃⡘⢄⡘⢄⠢⢑⢂⠩⢄⠊⡔⠡⠌⡡ ⣿⣽⣳⣯⣟⣷⣛⣶⢻⡝⣧⡻⣝⢾⣱⣏⢷⣹⢞⡽⣎⢿⡜⣧⣛⠾⣜⢯⣳⣛⠾⣜⢧⡻⣜⢧⡻⣜⣿⣿⣿⣿⣿⣿⡟⠳⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠌⡐⢫⢄⠫⡜⢠⢃⠌⡒⢌⠢⢑⠊⡄⠣⢌⠰⡐⡈⢆⠡⢂⠔⡂⠔⡈⢆⠡⢊⠰⡈⠒⢄⠣⡘⠠ ⣿⣞⣷⣻⣞⡾⣝⡾⢯⣽⢺⡵⣏⡟⣶⡹⣞⡽⣚⡷⣹⢮⡻⣵⢫⡟⡽⣎⠷⣭⣛⢮⡳⣝⢮⡳⣝⡞⡶⣿⣿⣿⣿⡿⠈⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠬⣙⠆⢳⠘⠤⣉⠆⡱⢈⢆⠡⢊⠰⡁⢆⠡⢂⠱⣀⠣⠌⢒⡈⢆⠡⢂⠱⡈⠤⢡⠉⡂⢆⠡⡁ ⣿⢾⣽⣳⢯⣟⡽⣞⡿⣜⣳⡽⣺⡝⣶⢫⢷⡹⣝⠾⣭⣳⢻⣜⡳⣽⢳⣭⣛⢶⣭⢳⡝⣮⢳⡝⣮⣝⡳⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡈⠴⣈⢏⠰⣉⠒⡡⢊⠔⡡⢈⠆⡡⢒⠈⡔⡈⢆⠡⡐⢂⡑⠢⡐⢂⠅⡊⠔⡠⢃⠢⡑⠨⠄⡃⠔ ⣿⣻⢾⣽⣳⢾⣹⣳⢽⡺⣵⢫⢷⡹⣞⡽⢮⣽⣚⢯⣳⢭⣳⢭⣳⢭⣳⢮⡝⡾⣜⢧⡻⣜⢧⡻⢶⣭⢳⢧⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⡐⢈⠲⢡⢎⡱⢄⡩⢐⠡⢊⠄⣃⠰⢁⠢⡑⠰⡈⢄⠃⡔⣁⠢⡑⢄⠃⡌⠰⣁⠒⡄⢃⠌⡑⢌⠰⢁ ⣿⣽⣻⢾⡽⣞⣧⢟⣞⣳⡭⣟⢮⢷⡹⣞⣳⢮⡝⣾⣱⢻⡜⣧⣛⢮⡳⣏⢾⣱⢏⡾⣱⢏⡾⣹⢳⣎⡟⡾⣴⢛⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠭⡀⢡⠌⡡⢂⡅⢺⡔⡨⢔⡡⢊⡅⢒⠠⡑⣈⠒⡈⢅⠒⣈⠒⡐⢄⠒⡨⠐⡌⠰⣁⢂⠒⡈⢆⡘⠰⢈⠢⢁ ⣿⢾⡽⣯⢷⣻⢮⣛⣮⢳⣝⣮⣛⢮⢷⡹⣎⢷⣹⠶⣭⣳⣛⠶⣭⡳⣝⡞⣧⣛⢮⣳⡝⣮⢳⣝⡳⢮⣝⡳⣯⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡁⠞⡌⠐⡤⠂⠤⢡⠘⣐⠣⣏⡐⠆⡔⣡⠈⡆⡑⠰⣀⠃⡜⢠⢊⡐⢌⠰⣈⠂⡅⢃⠌⡡⢐⢂⠱⢈⠆⢌⠡⢊⠄⠡ ⡿⣯⣟⡷⢯⢷⣫⠷⣭⢷⣚⢶⡹⢮⡳⣝⢮⣳⢭⣛⢶⣣⢏⡟⡶⣝⢮⣝⠶⣭⡳⢧⣻⣜⡳⢮⣝⡳⢮⣽⣟⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣍⡳⢍⢦⣹⡰⢬⠑⡠⠨⠰⢀⣋⠄⠳⣼⡄⣙⠰⢠⡘⠤⣁⠣⡐⢌⡐⢢⠐⡰⢈⠢⠄⡃⠔⣈⠢⠑⡂⢌⠢⡁⢎⠠⠃⡄⢊⠐ ⣿⢷⣯⣟⢯⢷⣫⣟⢮⣳⡝⣮⣛⢧⣛⢮⡳⣝⡮⣝⣮⢳⣏⣞⡳⣝⠾⣜⡻⢶⣹⢳⡳⢮⣝⡳⢮⣝⡳⣞⢿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣭⢻⣌⠳⣭⢖⣦⠳⣌⢌⠡⢁⠒⢡⠈⢎⠡⠜⣷⡈⠜⣠⠘⡰⢀⢣⠘⡄⠒⡄⢣⠐⡡⢂⠱⢈⠒⡠⢁⠣⢘⠠⢂⠅⢊⠐⠡⠐⠂⠌ ⣿⣻⢶⢯⣛⡾⡵⣞⢯⢶⡹⣖⢯⡞⣭⣳⢻⣜⡳⣝⢮⡳⣞⡼⣳⢭⣛⣮⡝⣧⢏⡷⣹⢳⢮⣝⡳⣎⠷⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯⣽⣳⢮⡳⣎⡳⡼⡞⡴⢫⡜⠌⢦⠉⠈⠄⡐⠂⡜⢨⢽⣿⡔⢂⠱⣀⠃⢆⠱⣈⠱⡈⢆⠱⣀⠣⡘⢄⠣⡐⢡⠊⡄⠣⢌⠘⡀⢊⠡⠌⠡⢈ ⣟⡷⢯⣟⡽⣺⣝⢾⡹⣎⢷⡹⢮⣝⠶⣭⡳⢮⣝⢮⡳⣝⢮⡳⣝⢮⣳⢮⣝⢮⡻⡼⣭⣛⠾⣜⡳⣭⣛⠶⣭⢿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣟⡳⢞⡥⢯⡽⣭⢳⢧⡹⢜⣣⡙⢾⡀⠎⠡⠀⢄⠡⡀⠣⢎⢿⣿⣧⣖⡠⢉⠆⡒⠤⡑⡈⢆⠱⣀⠣⡘⢄⠣⡘⢄⠣⡘⠰⡈⠆⡁⠢⠐⡈⢂⠁ ⣯⣟⣟⣮⡽⣳⢞⣯⢳⡝⣮⢽⡳⣎⡟⡶⣝⢯⡞⣧⣛⢮⢷⡹⣞⢧⣛⠾⣜⢧⡻⣵⢣⣏⠿⣜⡳⢧⣏⠿⣜⡧⣏⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⢾⡸⣹⡍⣞⣱⠞⣥⢻⢦⡙⣦⠧⡙⢦⡑⢎⠡⡀⠆⠰⢀⢣⠘⡼⣷⣏⡿⣿⣶⣾⣤⣵⣠⡑⣈⠒⠤⢑⠰⡈⢆⠱⡈⢆⠡⢃⠜⡠⠑⣂⠑⡠⠁⠌ ⣷⣻⡼⢶⣻⢵⣫⢞⣧⢻⡜⣧⢻⡼⣹⢳⡝⣮⡝⡶⣭⣛⢮⣳⡝⣮⣝⡻⣜⢧⡻⣜⡳⣞⡽⢮⣝⡳⣎⠿⣜⡳⣝⠾⣭⣛⠿⡿⢿⠿⣿⢿⣿⠋⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣞⡧⢷⡩⡜⠶⣥⢯⡙⣧⣾⠵⣣⠝⣌⠣⡜⢢⠡⡁⠂⠅⣂⠢⠘⢤⢫⡝⣻⣷⣻⢞⣽⣻⣟⣿⡿⣿⣶⣮⣴⣡⣈⠆⡑⠌⢢⠁⢎⡐⠡⡀⠎⢠⢁⠂ ⣷⣳⢻⣏⣞⢧⣛⡾⣜⢧⡻⣜⣧⢻⡵⣫⢾⡱⣏⢷⣣⢟⣮⢳⡝⡶⣭⢳⡝⣮⢳⣭⢳⡝⣞⡳⢮⡝⣾⡹⢧⡻⣜⡻⢶⡍⡷⣍⣛⠮⡵⢎⣽⠀⠀⠀⠀⢮⣿⣿⣿⣿⣿⣿⡿⡞⣥⢳⡉⢳⡜⣦⢿⡻⣌⠷⣢⠝⣠⠒⡌⢠⠃⡔⢁⠂⠴⢈⡑⢎⡳⢼⢯⡷⣯⣟⣮⢷⣻⣾⣟⡿⣽⣿⣻⣿⣿⣿⣷⣾⣤⣉⡤⠘⢠⠁⡌⠂⡄⢂ ⡷⢯⣛⣞⢮⡻⣜⡳⣝⢮⢷⡹⣎⢷⡹⢧⣏⢷⡹⣎⢷⣫⢞⣧⢻⡵⣫⢷⡹⣎⢷⡺⣝⠾⣱⢏⡳⣝⢶⣹⢳⡝⣧⣛⢧⠞⡵⢎⢧⡛⣜⢣⢾⡃⠀⠀⠀⠠⣼⣿⣿⣿⣿⣟⣷⡻⣬⢓⣌⠶⣹⣯⣗⣳⣭⠳⡆⣍⠲⠠⠄⠃⡜⠐⡌⡀⢂⠬⠑⡎⡵⢋⡞⣹⢳⣻⣾⣿⢿⣟⣾⣟⣷⣿⣿⣽⣷⡿⣯⣿⣿⣿⣿⣿⣦⣴⣀⠡⠐⠂ ⣟⢯⡽⣎⣯⢳⡭⣗⢯⡞⣧⢻⡜⣯⣝⡳⢮⣏⢷⡹⣎⢷⣫⢞⣧⢻⡵⣫⢷⡹⣎⠷⣭⢻⡥⣏⢷⡹⣎⢷⣫⢞⡵⣭⠺⡭⣝⢮⢣⡝⣬⠓⡾⡇⠀⠀⠀⠐⢼⣽⣿⣿⣿⣿⣷⣿⠶⣏⢬⣛⣷⣻⣞⡷⣊⠷⣉⠦⣁⠣⣘⠐⡈⠱⣀⠖⠡⠀⡝⡘⡔⠫⡔⢣⡞⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⣾⢿⣟⣷⡿⣯⣿⣿⢿⣿⣿⣿⣾⣤ ⣯⣛⢾⡱⣏⢷⡹⣎⢷⡹⣎⢷⣛⠶⣭⣛⠷⣎⢯⡳⡽⣎⢷⣫⢞⣧⢻⡵⣫⠷⣭⢻⡜⣧⢳⡝⣎⢷⡹⣎⢷⣋⠾⣜⢫⡵⣚⡬⢳⡜⢦⡛⡴⣧⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣯⡿⣜⡶⣹⣾⢯⣟⣳⡽⢎⡕⢢⠰⣁⠣⡜⢀⠡⡘⢠⠁⢆⠐⡤⢩⠓⣬⢓⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣻⣿⣿ ⡷⣭⡗⣯⠽⣎⢷⣫⢞⡵⣫⡞⣭⣛⠶⣭⢻⡼⣣⢟⡵⣫⢞⡵⣫⢞⣧⢻⡵⣻⡜⣧⢻⣜⡳⢞⡭⡞⣵⢫⡞⣭⢻⢬⡳⣜⡱⢺⡱⢎⢧⡙⡖⣿⠀⠐⠄⢀⠀⠀⠉⣿⣿⣿⣿⣿⣟⡷⣏⣷⣿⣿⢿⣻⡝⢮⡜⣡⠓⠬⣑⠜⣨⠂⡁⢃⡚⢤⡈⢠⢃⡝⢦⣛⡾⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣽⣿⣽⣿ ⣟⡵⣻⣜⡻⣜⢧⣛⢮⡳⢧⡻⣵⢫⡟⡼⢧⡻⣵⢫⡞⣵⢫⡞⣵⢫⡞⣧⣛⢶⡹⣎⢷⣪⠽⣹⢼⣙⢮⣳⢹⡜⣣⢳⣙⠦⣝⢣⡝⢎⢶⣭⡿⠛⠀⠀⠀⢹⠆⣄⣀⠿⣿⣿⣿⣿⣯⣿⡽⣾⣿⣯⡿⣧⣛⢧⡚⡥⢊⠶⣩⢎⡡⢚⠄⢃⠜⡢⣄⠣⡘⣬⢣⠿⣽⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣯⢞⡵⣎⡷⣹⢎⣯⢳⡽⣳⡝⣮⢳⡽⣹⢧⡻⣜⢧⡻⣜⢧⣻⡜⣧⣛⢶⡹⣎⢷⡹⢶⣩⢏⠷⡮⣝⡞⣬⡓⣞⣱⢫⡜⣹⢬⣳⡾⠟⠋⠁⠀⢀⠀⠀⠀⢸⡅⣦⢉⡉⢿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡿⣖⡻⢦⡛⣌⢏⡾⡵⢪⡕⢯⣌⢣⣌⡱⢎⡧⣙⣤⢏⡿⣵⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢷⣫⢞⡵⣫⢗⡯⣞⢧⡻⣵⢻⡜⣧⢻⡵⣫⢷⡹⣎⢷⡹⣎⢷⡹⢶⡹⣎⢷⡹⢎⡗⣯⣜⢫⢷⡹⡖⣽⠲⣝⡼⢲⣍⣾⠟⠋⡁⢀⠀⠀⠀⢰⣿⠀⠀⠀⠈⡇⠸⣧⣌⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⡿⣥⣋⢷⡙⣞⣮⡽⣽⢳⣚⠷⣜⡲⣬⡳⢯⣶⢻⣼⣻⣞⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⡼⣫⢞⡵⣫⢞⡽⣎⠷⣭⢳⡝⣮⢷⡹⢧⣏⢷⡹⣎⢷⡹⢮⡝⣧⢳⡝⡮⡝⣏⡞⢶⢎⡿⢬⡳⣝⠮⣝⣲⣽⠟⠋⠀⠠⠀⢀⡀⢀⡈⢷⣾⣿⠀⠀⢠⠀⢻⡄⢽⣷⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⡍⣎⢿⣼⣳⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⣱⣏⣞⡳⣝⢮⣳⢭⡟⣼⢫⡞⣵⢫⣝⡳⣎⢷⡹⣞⢧⣛⢧⢻⡜⣳⠞⡵⣋⢶⡹⣚⢮⡜⢧⣛⡼⣹⣶⠟⢡⣀⠈⢒⠠⣇⢢⣽⣦⣿⣿⣿⣿⠃⠀⠈⢣⠀⢳⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⡼⣣⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣻⢯⣟⡳⡽⣎⢷⣛⣾⣳⣿⣿⣿⣿⣿⣿⣿ ⣳⢯⡽⣹⢧⡻⣜⢯⡞⣵⢫⡞⣵⢫⡞⣽⢣⡟⡼⢧⡻⣜⡻⣜⢮⣓⢏⡖⢧⠻⣜⡣⢟⣬⢓⡮⢫⣵⡿⠋⠀⠈⢻⣤⣚⡤⢿⡞⣿⣻⣿⣿⣿⠏⠀⠀⠀⠈⡆⠸⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⡵⣿⣿⣿⣧⣻⣾⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⡿⣟⣿⣯⣿⣟⡿⣿⣻⣿⣽⣟⣷⣿⢾⣟⡾⣽⣳⢧⣻⣼⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⢯⡞⣵⢏⡾⣱⢯⡞⡽⣎⢷⡹⣎⢷⡹⣎⢷⡹⣝⢧⡟⣼⡱⢏⡶⢭⡺⣜⢫⣝⡲⢭⣓⢮⡹⣼⡟⠃⠀⠀⠀⣐⡠⠞⣿⡽⢎⡽⣶⢿⣾⢏⡆⠀⠀⠀⠀⠀⠑⠀⣧⠀⢺⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣝⡮⣝⡾⣿⣳⣿⣟⣿⣿⣽⣷⣿⣿⣿⣿⣷⣿⣿⣿⣯⣿⣾⣟⣷⣿⣻⣷⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⡼⣣⡟⣼⢣⡟⣼⢳⡝⣮⢳⡝⣮⢳⡝⣾⡱⣏⠾⣜⢧⡝⡞⣜⡣⢗⣎⠳⣎⣵⣫⣼⣶⠟⣉⣠⠀⠀⠀⢀⡿⣷⢍⣙⣧⣿⣾⣿⣫⣝⣾⣤⣄⣲⣤⣹⣦⠲⠤⣄⠀⠈⢿⣿⣿⣿⣿⣿⠃⢤⣿⣿⡿⢫⣙⢮⣳⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣷⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡷⢯ ⣞⡳⣝⢾⡱⣏⣞⢧⡻⣜⢧⡻⣜⢧⡟⣼⢣⡝⣮⣛⡼⢎⣞⡹⡲⣍⣷⡾⠟⢋⢉⣥⣶⣾⣿⣿⣿⣿⠿⡩⢞⣷⠟⠉⡐⢎⠛⡍⢯⡽⣻⣿⡻⢿⣿⣿⣿⣿⣷⣦⣜⣦⡀⠹⣿⣿⣿⣿⠏⢀⣿⡿⠉⢁⠣⣞⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣟⣿⣟⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠾⣝⢯ ⣯⣝⢾⣣⢟⡼⣎⡷⣹⢎⣯⢳⡝⣮⡝⣮⢳⡝⢶⡹⣜⣫⣖⣽⠿⢋⡡⢴⠶⣞⡾⣞⣷⣿⣾⣿⣿⣟⡶⣡⣿⠋⠀⠀⢁⠢⠕⡚⢡⢎⡱⠭⣽⠿⣟⢿⡻⣝⣮⣿⣿⣿⣷⡧⣿⣿⣿⡋⢥⣿⡏⣠⣄⣠⣔⣫⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣟⡿⣿⣾⣿⣿⡿⣟⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣽⣯⢿⡽⣞ ⡷⢮⣳⡝⣮⢳⡝⣾⡱⣏⡞⣧⣛⢶⣽⣮⡷⠿⢛⠛⡫⢍⠋⡅⣎⢱⡙⣎⠿⣜⣻⡽⣿⣾⣿⣿⣿⣿⣿⣿⠏⢀⢠⡐⣠⠉⠒⠬⡁⢎⡰⢿⣬⡻⣜⣯⢷⣻⣿⣿⣿⣿⣿⣷⣉⡟⢦⡑⣮⢯⣴⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣻⡾⣿⣟⣯⡿⣿⣿⣯⣟⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡷⣯⡿⣽⢯ ⣽⢳⢧⡻⣜⢧⡻⢶⣹⢮⣽⡶⠿⠛⠉⠀⠐⠤⠣⡘⠐⢊⠒⡌⢂⠧⣜⡎⣷⣹⡾⣽⣷⡿⣿⣿⣿⣿⠿⣡⠲⣌⢶⡹⢿⣆⣙⣲⠱⣮⢙⠶⣣⢿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠥⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⢷⣯⣟⣷⣿⣳⣯⢿⡽⣷⣿⣾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⡷⣟⣯⣿ ⣳⢯⡞⣵⣫⢞⣽⣳⠟⠋⠁⠀⠀⠀⠀⠐⠠⠂⢀⠈⠄⢡⠘⡰⣍⡞⣴⢯⡷⣯⣟⣿⡾⣟⡿⡹⣍⢆⡳⢣⡽⣘⣮⡟⣽⣿⣿⢣⠷⣌⣯⣛⣷⣻⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⣶⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣯⢷⡿⣜⢯⢾⣭⢿⡿⣿⡿⣿⣾⢿⣿⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣿⣻⣿⣾ ⣟⢮⣽⢺⣵⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⠢⡜⢢⡝⢲⣟⡾⣽⣯⣿⣿⣻⡽⣛⢥⢳⡱⢎⢎⣝⢣⡻⣵⣳⡿⣟⣿⣞⣯⢿⣝⡶⣛⡾⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣟⡾⣞⡯⣝⢿⣫⡗⣾⣯⣿⡽⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⣿⣷⣿ ⣻⢞⣼⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⠔⣠⠒⣭⠳⡜⣧⣿⣟⣷⣯⢷⣫⢇⡧⣙⢎⢣⠳⡞⡼⣌⢷⣻⢽⣯⢿⡽⣯⣟⡞⡿⣮⣽⢳⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠘⢦⡈⢿⣞⣿⣿⣿⣿⣷⡿⣿⣟⡾⣽⣟⡾⣽⢣⡟⣽⣺⢷⣻⢽⣳⣯⣿⢿⣻⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿ ⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢬⡸⣔⢫⢖⣻⣾⣿⠿⣝⡾⣡⠧⣍⠞⣰⠙⢎⡲⢥⣛⣼⣻⡼⢯⡟⣞⢯⣿⣱⢿⡜⣷⡝⣾⢻⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢳⣄⡆⣹⣜⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣳⢏⡷⣭⢗⣯⣛⣷⢻⣾⢯⣿⣻⣽⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢆⡞⠶⣱⣮⣾⣿⣿⢿⡽⣛⡮⢱⡡⣚⡜⡸⢣⢛⣤⡝⣫⣼⠶⡽⢾⡹⡞⡭⢞⠶⢭⢞⡹⣞⡽⣮⢿⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⣻⣽⢻⡼⣾⢿⣿⣿⢿⣻⣿⣿⣾⣳⢯⡻⣼⢛⡾⢧⣻⣼⣻⣾⢿⣽⣿⣻⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⡌⣞⣬⣿⣿⣿⣿⣿⣯⣿⡟⢧⠘⡅⣶⢩⠞⣱⢛⣼⢲⡝⣣⢟⡽⢞⡹⢻⡱⣛⢮⣙⣧⢫⡷⣭⢷⣯⣟⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣰⣿⣿⣻⣿⣯⣿⣿⣿⣿⣿⣟⣮⢷⡏⣯⢳⣭⢻⡼⣟⣧⣿⣹⣽⣻⣯⣿⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠄⠈⠀⠀⠀⡜⣰⣿⣿⣿⣻⣽⣯⢿⣿⣯⠳⡜⢠⢛⡘⢤⡃⣞⡥⢏⡞⡶⣙⢮⣟⡼⡳⣍⣳⣫⡝⣮⣝⣮⣻⡽⢯⣿⣾⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡷⢧⣿⣿⣿⣿⢯⣟⡾⣽⢻⡯⣟⣳⡛⢾⣳⣽⡽⣞⡿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⡘⡼⣼⣿⣻⣷⢿⣽⣿⣽⣿⣿⣦⠃⡄⠙⠦⠸⠀⡗⡌⢲⡛⣜⠶⣙⡞⣼⣱⢯⣝⣣⢿⣝⣯⣟⣾⣳⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣼⣿⣋⢿⡟⣞⣻⣞⡷⣹⢏⡷⣫⢷⣹⣛⣷⣻⣽⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢠⡉⣥⢻⣽⣷⢿⣷⣯⣿⣿⣿⣿⣿⣿⠂⠄⠡⠒⠐⠈⠳⢐⡚⡡⢜⡭⢻⡴⣛⢶⣭⡞⣧⣟⣯⢿⣭⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⢿⠙⣇⣿⢫⡝⣭⣓⣮⠷⣳⢾⣱⢟⣯⣟⣯⣷⣻⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣷⣟⡷⣯⣿⣿ ⠀⠀⣀⣄⣠⠌⢦⡱⣯⣿⣻⣾⡿⣯⣿⣿⣿⣿⣿⣿⡏⠙⠀⠀⠀⡰⣃⡤⢋⣜⣍⣫⣜⣣⣷⣻⣟⣶⡿⣟⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡉⠁⡫⢜⠣⢯⣜⣦⠳⣬⠷⣽⣚⣷⣞⣳⣾⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣹⣿⣽⣯⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢄⣸⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠙⠳⠤⣀⡉⠒⠤⣀⠀⣀⣠⠤⠖⠋⣷⣶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠟⠢⣀⠀⠀⠈⠉⠲⠞⠉⠀⠀⠀⠀⠘⣁⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⡄⠰⣞⠃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣀⣦⡙⢻⠃⠀⠀⠀⠀⠀⠀⣀⣀⣀⡸⣿⠟⣆⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠻⢿⡇⠈⠻⡄⠀⠀⠀⠀⠀⠚⠛⠛⠻⢿⡦⠀⠀⠿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣾⣟⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⠤⠤⢤⣴⣦⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⣆⣀⠀⠀⣠⢶⠀⠀⠀⠀⠘⠷⠾⠖⢋⡥⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠈⠀⡿⠙⠚⠓⡏⠀⢀⡄⠀⢀⡤⠔⠚⠁⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢶⣒⠒⠊⠉⠉⠀⠀⠀⠉⠉⠓⠒⠋⠁⠀⠀⣸⣅⢴⣟⣀⣠⡟⠀⠀⠀⠀⠀⠀⠀ ⣟⠳⡖⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⢸⣏⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀ ⠹⡆⠈⠢⠀⠈⠑⠲⢤⣀⠀⠀⠀⣘⣇⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠧⠤⣴⠀⠀⠀⠀⠀⠀ ⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⢯⡽⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⣒⠾⠃⠀⠀⠀⠀⠀⠀ ⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢸⠀⢤⣳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⠀⠀⠀⠀⠀⠀⠀⢠⠗⠢⡤⢄⡀⠈⢧⠀⠀⠀⠀⢸⠷⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⢕⣂⠀⠀⠀⠀⢀⣠⣼⠝⢹⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⢳⠈⠛⢷⡟⠀⠀⠀⠀⠸⡆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⣼⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠸⡀⠀⠈⢧⠀⠀⠀⠀⠀⡇⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⢀⡼⠉⢧⠀⠀⠀⢠⠇⠀⠀⠈⢇⠀⠀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣰⠋⠀⠀⣸⠀⠀⠀⡞⠀⠀⠀⠀⠈⣆⠀⠀⠀⢹⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢰⠇⠀⠀⠀⢹⡀⠀⠈⣇⠀⠀⠀⠀⠀⠘⡄⠀⠀⠘⣎⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⢸⠀⠀⠀⠀⠀⢳⡀⠀⠹⡄⠀⠀⠀⠀⠀⢹⡀⠀⠀⢳⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣀⣀⣬⡇⠀⠀⠀⠀⠈⠷⣴⣤⣿⠀⠀⠀⠀⠀⠀⠳⣤⣀⣸⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣤⣼⣬⣭⣦⣤⣤⣀⣀⢶⣶⣦⡤⡤⣤⠀⣴⣶⣤⣤⣤⢴⣤⣤⣤⣶⢤⣤⣤⣤⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠉⠉⠉⠁⠉⠉⠉⢉⠉⠉⠉⠁⠈⠉⠉⠉⠈⠉⠉⠉⠀⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⡶⠁⣠⣴⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣴⣿⠿⠋⣁⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⣿⡿⠟⠋⠉⠀⣀⣀⣀⣨⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣴⠂ ⠈⠉⠁⠀⠀⣀⣴⣾⣿⣿⡿⠟⠛⠉⠉⠉⠉⠉⠛⠻⠿⠿⠿⠿⠿⠿⠟⠋⠁⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⡿⠁⠀⢀⣀⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⡿⠁⢀⣴⣿⠋⠉⠉⠉⠉⠛⣿⣿⣶⣤⣤⣤⣤⣶⠖⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⡇⢀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀ ⠀⠀⠸⣿⣿⣿⣿⡇⠈⢿⣿⣿⠇⠀⠀⠀⠀⠀⢠⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣷⡀⠀⠉⠉⠀⠀⠀⠀⠀⢀⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⣷⣄⡀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣋⣠⡤⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⣄⠀⠀ ⠀⠀⠀⣴⣾⣿⣿⣶⡄ ⠀⠀⠀⣼⣿⣿⣿⣿⠀ ⠀⠀⢰⣿⣿⣿⣿⣿⠀ ⠀⠀⣽⣿⣿⣿⣿⡿⠀ ⠀⠀⣽⣿⣿⣿⣿⡇⠀ ⠀⠀⣿⣿⣿⣿⣿⠁⠀ ⠀⠀⣼⣿⣿⣿⠇⠀⠀ ⢀⣤⣿⣿⣿⣿⣦⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⢿⣿⣿⣿⣿⣿⣿⡿⠀ ⠈⢿⣿⣿⣿⡟⠁⠀⠀ ⠀⣾⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠈⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠙⠻⣄⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⢀⠀⢀⣀⣤⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣉⣩⣤⠴⠶⠶⠒⠛⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠤⠶⠒⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡍⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣫⣭⣷⠶⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠶⠖⠚⠛⠛⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠴⠛⠛⠉⡁⠀⠀⠙⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡷⠷⢿⣦⣤⣈⡙⢿⣿⢆⣴⣤⡄⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⡀⣸⡄⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣟⣩⣤⣴⣤⣌⣿⣿⣿⣦⣹⣿⢁⣿⣿⣄⣀⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⠋⠻⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠿⠛⢦⣽⣿⣿⢻⣿⣿⣿⣿⠋⠁⠘⣿⣿⣿⣿⣿⣿⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠁⠀⠀⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠿⣿⣯⣼⣿⡿⠟⠃⠀⠀⠀⣿⣿⣿⣿⣿⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣧⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⠟⠃⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⢁⣀⣀⣀⣀⣀⣠⣀⣀⢀⢀⢀ ⠀⠀⢿⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠙⠛⠛⠙⢻⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠘⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⢿⣿⣆⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡼⠁⢀⣀⡀⠀⠀⠀⣦⣄⠀⣠⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣬⢻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣰⣿⡿⠿⠦⢤⣴⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠒⣿⣿⣿⡿⠟⠹⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡖⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣾⣿⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣆⣀⣀⣤⣴⣶⣶⣾⣿⣷⣦⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣿⣿⡛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⡟⠛⠛⠻⠛⠛⠛⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠓⢁⣬⣿⠇⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⢰⡿⣻⠇⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢐⣯⠞⠁⠀⠀⠀⠀⠀⠀⣄⠱⣄⠀⠀⠀⠀⠸⡧⠟⠆⠀⠀⠀⠀⠘⠿⢿⠿⠿⣿⡿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡈⠂⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⡄⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣦⣦⣼⡏⠳⣜⢿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢠⣷⣦⣤⣀⣀⣀⣴⣿⣿⣿⣿⣿⡿⠻⠆⠸⣎⣧⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⡄⠀⣿⢹⡇⢸⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⣆⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⣼⣿⡗⠀⠀⠀⠀ ⠀⠀⠀⣠⠟⠀⠘⠷⠶⠶⠶⠾⠉⢳⡄⠀⠀⠀⠀⠀⣧⣿⠀⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣤⣤⣤⣤⣤⣿⢿⣄⠀⠀⠀⠀ ⠀⠀⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠙⣷⡴⠶⣦ ⠀⠀⢱⡀⠀⠉⠉⠀⠀⠀⠀⠛⠃⠀⢠⡟⠂⠀⠀⢀⣀⣠⣤⠿⠞⠛⠋ ⣠⠾⠋⠙⣶⣤⣤⣤⣤⣤⣀⣠⣤⣾⣿⠴⠶⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀ ⠛⠒⠛⠉⠉⠀⠀⠀⣴⠟⣣⡴⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠀⠀⠀⠀⠀⠘⡏⠓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⡏⠑⢤⣀⠀⠀⠀⠘⢦⠀⠉⠒⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡄⠀⠈⠉⠒⠢⠤⢀⣳⣄⠀⠀⠀⠀⠉⠉⠑⠒⠒⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠐⠒⠠⢄⡀⠀⢀⠀⠀⠉⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢟⠉⠙⠛⢶⣶⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠉⠛⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⣈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠀⠀⠀⠀⠀⠀⠀⠈⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡨⠿⠖⠛⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠔⠉⣀⠀⠀⠀⠘⣍⡓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢈⣆⠈⢣⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣧⡴⠋⠁⠀⠀⠀⠀⠈⠻⠷⢤⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠒⠒⠠⠤⣽⡖⠁⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢁⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣷⣦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⢈⠟⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠀ ⠀⡎⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠚⢓⣶⡄⣀⣀⣀⣄⠀⠀⠀⠀⠀⠀⠈⠻⢯⡇⠀⠀⠀⠀⠀⠀⠀⣌⠑⢤⡀⠀ ⢰⡷⠁⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⠉⠁⠈⢉⡴⠋⠀⠀⠀⠀⠰⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠙⡆ ⢸⠃⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠒⠦⡀⠀⠀⠀⠈⠉⠲⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢰⠃ ⢸⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⣉⠲⣿⣆⠀⠀⠀⠀⠀⠙⠹⣄⠤⠆⠀⠀⡀⠀⠀⠀⠀⡽⠃⠀ ⠸⡇⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣿⠗⠤⣀⠀⠀⠀⠀⠀⠀⠓⠒⠻⣍⠢⣀⣤⠞⠀⠀⠀ ⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⡀⠀⠉⠒⠠⣄⡀⠀⠀⠀⠀⢀⡷⡌⣧⠀⠀⠀⠀ ⠀⠀⢸⡀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠇⠀⠀⠀⠀⢨⣿⡷⠶⠶⠿⠋⠀⠸⡿⠀⠀⠀⠀ ⠀⠀⠀⢧⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏⠀⠀⠀⠐⢦⠀⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢧⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠱⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠳⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣆⠀⠀⠀⠀⠀⣿⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣄⡀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡆⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠾⡷⠤⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣸⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠉⠑⠢⢄⠀⡄⠀⣼⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣷⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣦⠀⠀ ⠀⠀⣠⣤⣤⣄⣀⣾⣿⠟⠛⠻⢿⣷⠀ ⢰⣿⡿⠛⠙⠻⣿⣿⠁⠀⠀⠀⣶⢿⡇ ⢿⣿⣇⠀⠀⠀⠈⠏⠀⠀⠀ text here ⠀⠻⣿⣷⣦⣤⣀⠀⠀⠀⠀⣾⡿⠃⠀ ⠀⠀⠀⠀⠉⠉⠻⣿⣄⣴⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠁⠀⠀⠀⠀
ඏ💗 Şⓔ𝕏 𝐥丨Ⓕ𝐞 😈👤...THE STORY Bf: *Texts* Hey sexy, i wanna lick your juicy ass tonight. I want you to suck my dick so hard that i can't pee for a month. In return, I'll make you cum so much that your vagina will squirt cum all the way to your big ass boobs. Speaking of your breasts, I miss your titties. I play with your titties just like the way I move the gaming control stick. GF: *Texts back* Of course my daddy. I've also been practising my moaning. And when i come to your house, make sure there's a big hard dick for me to suck. ///GF arrives/// GF: Hey daddy. 🥵 BF: Hey sexy. *🤌RIPS🤌off her tight ass shirt with her boobs (and tits ) ✨BULGING✨ out* pt 2 coming out soon
⠀⠈⠀⠈⠁⠀⠉⠙⠒⠶⢤⣤⣤⣀⣀⣤⠔⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⢴⠆⢰⠃⠀⠀⠀⠀⠀⢷⠦⣄⣀⣀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀ ⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⡤⠴⠒⠛⣻⠛⠉⠁⠀⠀⢸⢀⡏⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠈⠙⠛⠓⠢⠤⣤⣀⡘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⣀⣀⢠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⣠⡾⠃⠀⠀⠀⠀⢀⡏⢸⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⡈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀ ⠈⢙⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣠⡞⣻⣃⣠⡤⠤⠒⠒⠛⠁⣼⠀⠀⠀⠀⠀⠀⠀⣼⡛⠓⠒⠦⢤⣄⡀⠀⠀⠀⠈⢻⣝⠳⣽⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⡿⠛⣹⠋⠀⠀⠀⠀⠀⠀⣠⠞⡇⠀⠀⠀⠀⠀⠀⣼⠉⢧⠀⠀⠀⠀⠀⠈⠉⠙⠲⠦⣄⠹⣆⠀⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⢋⣿⠏⢀⡴⠁⠀⠀⠀⠀⠀⣹⡾⠋⠀⡇⠀⠀⠀⠀⠀⣸⠃⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣿⣧⡀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀ ⠀⠀⠀⠀⢀⣀⣤⠴⠻⣉⠀⠀⠚⠁⣠⠞⢁⣀⣀⣤⣤⣤⠾⠽⡀⠀⠀⢹⠀⠀⠀⠀⢠⠇⠀⠀⣠⡋⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡖⠒⠒⠋⠉⠁⠸⣦⣄⣙⣳⣦⣤⣴⣷⣾⣿⣿⣿⣿⣿⣿⣶⣤⠞⠀⠀⢸⡀⠀⠀⢰⣿⠀⠀⠺⣏⣤⣤⣽⣿⣿⣶⣶⣤⣀⡀⠀⠀⠀⢳⡀⠙⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠒⠒⣦⣤⠤⢤⣽⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⠟⠛⠻⣿⣇⠀⠀⠀⣇⠀⠀⢸⠇⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣧⡤⠚⠉⢙⣻⡶⠶⣤⣄⠀⡤⠀⠀ ⠀⣠⠞⣽⠁⣀⣀⣴⣾⣿⣿⣿⣿⠟⠉⠀⠀⠘⢯⠉⢷⣄⣴⡿⠏⠁⠀⠀⢸⡄⠀⢸⠀⠀⠘⡿⣿⡀⠀⢀⡿⢿⣿⠿⣯⡛⠿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠹⣷⣄⠀⡀ ⣰⠃⣸⠁⠀⠀⠀⠀⠀⠘⠻⣿⣿⠀⠀⠀⠀⠀⠀⠙⠒⠚⠉⠀⠀⠀⠀⠀⠀⢳⠀⢸⠀⠀⠀⠃⠹⣿⣲⣛⣳⠾⠁⠀⠈⠙⢶⣄⠈⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠙⠷⣿ ⠃⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⡸⠛⠂⢀⡠⢤⣶⣾⠿⠛⠻⠃⠀⠀⠀⠀⠀⠀⠀⢧⢸⡄⠀⠐⠤⠤⢤⣤⣍⣀⡀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠁⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⡟ ⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠘⠁⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠈⢳⣷⠀⠀⠀⠀⠈⠉⠉⠙⢿⢿⡖⠦⢤⣀⣀⠘⢫⠇⠉⠓⠦⣄⡀⠻⣤⡀⠀⠀⠀⠀⠀⡇ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⣴⣶⣶⡄⠀⠀⠀⠀⠀⢿⡏⠉⠲⠖⠒⠒⠒⢶⠄⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣤⡀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠉⠓⠦⣽⣦⡀⠀⠀⣸⠀ ⢠⣇⠀⠀⠀⠀⠀⠀⣰⡏⠀⣤⣿⡙⣿⣷⠄⠀⠀⠀⠀⠈⠳⣄⠀⠀⣀⣠⡶⠟⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⢀⣘⣿⢿⣟⡀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢠⠇⠀ ⠘⣿⡀⠀⠀⠀⠀⢀⣿⡷⠀⠙⡟⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠈⠓⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠸⠿⠟⣠⠏⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀ ⠀⠸⣇⠀⠀⠀⠀⢸⢸⡇⠀⠿⠷⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠃⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀ ⠀⠀⢹⡄⠀⠀⠀⡏⠀⢇⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣠⣞⣫⣤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠀⠀⠀⠀ ⠀⠀⠀⢻⡄⠀⠀⡇⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⣿⣿⣷⣶⣦⣤⣤⣤⣀⣠⣴⣶⣾⠏⠀⠀⠀⠀⠀⠈⢉⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡄⠀⢻⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⠙⣆⠘⡆⠀⡀⠹⡄⠀⠀⠀⠀⠀⠀⢠⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠐⠀⠀⣀⡴⣚⣡⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠞⠁⠀⠈⠳⣽⡞⠀⠀⢙⣦⡀⠀⠀⠀⠀⠈⢧⣿⣿⣿⡟⣻⣿⣿⣿⣿⣿⠟⣫⠞⠁⠀⠀⠀⢀⣀⡏⠀⠀⠀⠀⢀⡤⠞⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰ ⣤⠞⠁⠀⠀⠀⠀⣰⠏⠳⣄⡔⠋⠀⠛⣦⡀⠀⠀⠀⠈⣿⣿⣟⣰⣿⣿⣿⣿⣿⡵⠚⠁⠀⢀⣠⠔⠒⠈⡿⠀⠀⠀⣠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃ ⠁⠀⠀⠀⣀⡤⣾⠏⠀⡴⠋⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠘⣿⣿⣉⣠⣿⣿⠏⠀⠀⠀⠀⡰⠋⠀⠀⠀⢰⡇⠀⢀⡼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀ ⠛⠛⠋⢉⡏⠠⡟⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⢀⣻⡳⢤⣀⠈⠉⠋⠉⠿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣾⡇⢠⠟⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⡤⠖⣋⡀⠀⠀ ⠀⠀⢀⡿⡼⠀⡇⡸⠀⠀⠀⠀⠀⢀⡤⠖⠛⠉⠀⠀⠀⠉⠓⠦⣄⣀⠠⠄⠀⣀⣀⣠⠤⠴⠚⠋⣡⠞⠁⣧⡟⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠛⠉⠁⠀⠀⠀⠀⢀⣀⠉⠓ ⠀⠀⢸⢣⠃⠀⣷⠇⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠈⠒⢦⣀⠀⠀⠀⠉⠉⢿⡉⠉⠁⠀⠀⠀⢠⡾⠃⠀⠀⠻⠇⡿⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⡀⠀⠀⠀⠀⠀⠀⠛⠛⠀⠀ ⠀⠀⢸⠀⠀⠀⢿⠀⠀⠀⡼⠋⠐⠂⣠⣤⣄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠙⠟⠀⠀⠀⠀⠀⠰⣶⡆⠀⠀ ⠀⠀⢘⠀⠀⠀⢸⠀⠀⢸⠱⣶⠆⠠⣾⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡄⠀⣾⠁⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠗⠀⠀⠀⠀⡀⠀ ⠀⠀⠈⡀⠀⠀⢸⡆⢠⡟⢀⣤⣄⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⠄⠀⠀⠀⠋⣭⠀ ⠀⠀⠀⠑⠀⠀⠀⢧⢸⠁⠈⠛⣯⣄⣛⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀
⠀⣠⣶⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⢿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡏⢀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣟⣋⣼⣽⣾⣽⣦⡀⠀⠀⠀ ⢀⣼⣿⣷⣾⡽⡄⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣿⣿⣿⡿⢿⣟⣽⣾⣿⣿⣦⠀⠀ ⣸⣿⣿⣾⣿⣿⣮⣤⣤⣤⣤⡀⠀⠀⠻⣿⡯⠽⠿⠛⠛⠉⠉⢿⣿⣿⣿⣿⣷⡀ ⣿⣿⢻⣿⣿⣿⣛⡿⠿⠟⠛⠁⣀⣠⣤⣤⣶⣶⣶⣶⣷⣶⠀⠀⠻⣿⣿⣿⣿⣇ ⢻⣿⡆⢿⣿⣿⣿⣿⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠀⣠⣶⣿⣿⣿⣿⡟ ⠈⠛⠃⠈⢿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⠋⠁⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣠⠤⠔⠒⠒⠒⠒⠒⠢⠤⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀(Ignore for z00phile rights, Like for YIPPEE) ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠦⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠘⣿⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠁ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡁⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠉⠉⠈⢙⢨⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣄⡀⠀⠀⠀ ⠀⠀⣤⡶⢶⣖⡶⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⡿⠛⠉⢉⠉⠙⣿⡄⠀⠀ ⠀⠀⣿⢰⣌⣭⡽⠷⠶⢮⣭⣛⣲⢶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣻⡵⢞⣋⣥⠶⠶⠒⠿⣧⡀⢸⣿⡀⠀ ⠀⠀⡏⣾⡟⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣌⡙⠻⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⣿⣫⣷⠞⠋⠉⠀⠀⠀⠀⠀⠘⣧⠀⡟⡇⠀ ⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢶⣌⡛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⣿⣿⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⡇⢿⠀ ⠀⣿⡟⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣯⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢩⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⣧⢸⠀ ⠀⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣯⡿⣷⣶⠶⠶⠒⠒⠒⠲⠶⢶⣦⣤⣤⣴⣷⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣾⠀ ⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⠚⠛⠋⠉⠉⠉⠉⠉⠉⠑⠒⠛⠿⢿⣥⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⢀⡿⠀ ⠀⠸⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⡇⠀ ⠀⠀⢻⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣠⣿⠁⠀ ⠀⠀⢺⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢩⡇⠀⠀ ⠀⠀⠈⠻⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣣⣿⡇⠀⠀ ⠀⠀⠀⢰⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⣼⠟⠁⠀⠀ ⠀⠀⠀⣿⢁⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠶⣦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡟⠀⠀⠀⠀ ⠀⠀⣸⠇⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⠶⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠀ ⠀⢠⡟⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⡿⠁⠀⠀⠈⣧⡀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠉⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢿⣆⠀⠀⠀ ⠀⣸⢳⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⢼⣿⣿⠿⣦⣄⣠⣾⣿⣧⠀⠀⠀⠀⠀⠀⣸⣇⣀⣀⣴⡿⢿⣿⣿⡏⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣏⢿⡀⠀⠀ ⠀⡏⢼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠸⣿⣷⣤⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣄⣴⣿⣿⠇⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡞⣧⠀⠀ ⢰⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠙⠿⣿⣿⣿⣿⠟⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣿⡄⠀ ⢸⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⢀⣠⣶⣿⡿⠁⠀⠀⠀⠀⠀⢻⣿⣍⠙⠛⠉⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⠀ ⣸⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠻⣿⣗⣒⠒⢚⣋⣡⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣦⣀⠀⢀⣤⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀ ⣿⠘⣇⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣤⠀⠀⠀⣼⢻⣿⠀ ⣿⠀⢻⡄⠀⠀⠰⠿⢿⣿⡶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢟⣿⣿⣿⣿⠀⠀⠀⣿⢸⣿⠀ ⣿⡄⠀⢻⣄⠀⠀⠀⠈⠻⣿⣶⣍⡙⠳⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠛⣡⣴⣿⠟⠉⠉⠀⠀⠀⢠⡟⣸⣿⠂ ⠙⢿⣦⡀⣹⣶⣄⡀⠀⠀⠈⠙⠿⣿⣷⣶⣬⣝⣛⣶⡤⣤⣤⣀⣀⣰⣄⣾⣷⣄⣀⣾⠀⠀⠀⠀⠀⣀⣀⣠⡤⠴⠞⠛⠋⢁⣠⣴⣾⣿⠟⠁⠀⠀⠀⠀⠀⣠⠟⢡⣿⡟⠀ ⠀⠀⠙⢿⣮⣟⠿⣟⠶⣤⣀⠀⠀⠈⠙⠻⢶⣬⣝⣛⠿⠿⢿⣶⣤⣬⣥⣄⣃⣉⣉⡀⠚⠻⠿⠿⠛⠛⣛⣛⣀⣤⣤⣶⣾⣿⣿⠟⠋⠁⠀⠀⠀⠀⢀⣤⡾⢏⣴⡿⠛⠀⠀ ⠀⠀⠀⠀⠈⠛⠷⣮⣗⣈⠙⠛⢦⣄⣀⠀⠀⢈⣍⣛⣿⡆⠀⠀⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢉⣽⠿⠿⠛⠉⠀⠀⠀⠀⠀⣀⣤⡾⢟⣫⣴⠿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣶⣦⣬⣉⣙⠳⠿⣭⣽⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣻⣥⣤⣄⣤⣤⣤⡶⠿⣛⣭⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠻⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣶⣶⣶⠶⠶⠞⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⡿⣟⣿⣻⣟⣿⣻⣟⢿⣽⣻⢽⢯⡟⡿⣽⢯⣟⠿⣽⣻⡽⢯⣟⣯⣟⢯⣟⡿⣽⣻⣽⢻⣯⡟⡿⣽⢯⣻⡝⣯⢽⣩⢏⢮⡱⢎⢲⡑⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣫⢿⣿⣽⣾⣟⣻⠉⡊⠛⠋⡽⢿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣽⡾⣟⣯⢿⣻⣞⣷⣻⣞⡷⢯⣻⠶⣏⢿⡺⣽⣹⡞⣽⣚⡟⣧⢷⣛⡿⡼⢶⣫⣟⡾⣽⣳⢯⣞⡿⣶⣻⣽⣳⢯⣷⣹⢧⡻⣜⣚⢦⡙⢮⡱⢬⡙⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⡿⣯⣟⣿⣽⣻⢷⣻⣞⡷⣯⣻⢏⣷⢿⣿⣾⣷⣿⢯⣽⣝⡛⠾⣧⣟⡼⢳⡝⣯⢳⡞⣽⠾⣵⣻⢾⣽⣳⡟⣾⡽⣳⢧⡟⣧⢻⡼⣩⠶⣙⢦⠳⡌⢞⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⠯⡟⠂⡌⣮⣿⡟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣟⣿⣽⣟⣾⣳⢿⣯⢷⣯⣟⣷⣯⢿⣭⡟⢯⣽⢃⢆⢺⣴⣊⠙⢦⡀⠈⠙⠧⣞⢌⡳⣹⢧⣛⠷⣯⣻⢶⣯⢟⣷⣻⡽⢯⡽⣝⣧⢻⣥⢻⡜⣎⢧⡙⣎⢆⣿⣿⣿⣾⣿⣟⣿⣿⣿⣿⣿⣿⢿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⣟⣷⣟⡿⣾⣽⣷⣻⣟⣾⣻⣾⣿⢿⣸⣿⢫⢼⣷⡏⣷⡾⠟⠏⠃⠀⠀⠑⢆⠀⠀⠈⠳⣔⠱⢮⡝⣯⢳⣏⡿⣞⡿⣞⣷⣻⢯⣟⢷⣭⣳⢎⡷⣚⡼⢢⡝⡜⢮⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣟⣯⠷⣭⢻⡔⣫⠞⣊⠔⡁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣽⣟⣷⣿⣻⣾⣟⣿⢾⣳⡿⣞⣷⣿⣿⣟⢣⣾⡏⢆⣿⢼⡇⠋⡁⠀⢸⠠⠰⡀⡀⠀⢢⠀⠀⢂⠈⠳⣜⠺⣵⡛⣞⡽⣯⢿⡽⣾⣽⣻⣞⡿⢶⣫⢟⡼⣣⡝⣧⡝⡞⣥⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣳⣛⡾⣵⢫⡖⣍⠲ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣟⣿⡾⣟⣾⣟⡷⣿⢯⣿⣻⣽⣿⣿⣿⣿⢏⣾⣿⢘⡞⡽⢸⢣⠀⠇⠀⠀⡆⡇⣷⡈⠀⠀⢣⠀⠀⢠⠘⢿⣧⠳⣝⣎⡳⣏⡿⣽⣳⢯⡷⣯⣟⣯⢯⣟⢾⣱⣛⢶⡹⣝⢮⡳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣯⢷⣻⡜⣯ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⡿⣯⣷⢿⣟⣿⢾⣿⣻⡿⣽⣿⣿⣿⣿⣿⡿⢎⣿⡟⢸⢡⣷⠈⣇⠣⣀⡃⠀⣧⢧⡛⠻⣦⡀⠄⢇⠀⠀⢆⠈⢿⣧⢻⣎⣷⢺⣽⣳⣟⣯⣟⣷⣻⣞⡿⣞⣯⣳⢏⡷⣝⢮⡳⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣽⣏⣯⣗⣿⣳ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣯⣷⢿⣻⣽⡿⣯⢿⣻⣽⣷⣿⣿⣿⣿⣿⣿⣿⡿⡞⣿⡇⡘⣾⢱⠀⣿⣤⠞⠑⢲⣿⣿⣇⠀⠈⠳⣜⣿⡀⠀⠈⡆⠈⢾⡧⢿⡜⣟⣾⣳⣟⡾⣽⣞⡷⣯⢿⡽⣞⡷⣯⡟⣾⣭⢷⣛⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣽⣾⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⢿⣽⡾⣟⣿⣳⣿⣻⡿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣳⡛⡿⡇⢹⠇⢈⣾⠻⣿⡄⢠⢾⣿⡾⡏⠈⠉⠉⠙⢿⡇⠀⢠⠸⠰⡀⢻⡞⣽⢯⣞⡷⣯⣟⣯⢿⣽⢯⣿⡽⣯⣟⣷⣻⠷⣞⣯⣳⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣟⣿⣳⡿⣿⣽⢯⣷⡿⣽⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣥⢃⣧⣧⡞⠊⠁⠻⣧⠿⣘⣏⣾⠿⠽⣷⣿⠿⢿⡻⣾⣷⡇⢸⡌⡇⢱⡄⣙⢧⣿⣾⣟⣷⣻⢾⣻⣽⢿⣾⣻⣷⣻⢾⣽⣻⡽⣶⢯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⣷⣟⣷⣯⡷⣿⣽⣟⣾⢿⣯⢿⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠸⣼⢁⣤⣶⡿⠟⠒⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢰⣿⠆⢨⣿⢹⡀⣷⣌⢻⡝⣻⢼⣳⢯⡿⣽⡾⣟⣷⣿⣳⡿⣟⣾⢷⣻⣽⣻⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣻⣟⣾⣟⣾⣽⣟⣾⣯⢿⣻⣽⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⣧⠘⢿⠯⠤⠉⠀⠀⠀⠀⠀⣲⠀⠀⠀⠀⠀⠀⠀⠎⣿⡂⠐⣿⠀⣧⢸⡞⣆⢻⡜⣧⣻⢯⣟⡷⣿⣻⣽⣾⢿⣽⡿⣯⣿⢯⣷⢿⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢷⣿⢯⣷⢿⣽⡾⣯⣷⢿⣻⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣽⣿⢯⣷⡀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢠⣣⠀⢀⣿⢠⡏⣿⡗⣽⢸⣟⡶⣯⣟⣾⣽⣟⣯⣿⣯⣿⣟⣿⣿⣽⡿⣯⣿⢾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣻⣿⢯⣿⢯⣿⣞⣿⣳⡿⣟⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡟⠛⡆⠈⠻⣷⡭⡂⠀⠀⠀⠀⣤⣶⠶⠿⢿⡆⠀⢸⢀⣾⡇⠀⣸⠀⣸⣷⠸⣿⣾⣿⣯⣷⣿⢾⣽⣾⣟⣿⣷⣿⣻⣿⣿⣾⣟⣿⡿⣯⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⣽⡿⣯⣿⢷⣯⣿⡽⣟⣿⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣻⠇⣸⡁⠀⣹⡄⠠⡙⢷⡌⠑⠀⠀⠀⠛⠁⠒⠂⠉⠁⠀⠐⣡⡿⠀⢀⡇⢀⡏⣼⢸⣿⣿⣿⣯⣿⣿⣞⣿⣷⡿⣿⣾⣿⣿⣿⣾⣿⣿⡿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣻⣽⡿⣽⣯⣷⣟⣿⣟⣿⡾⣟⣾⣿⣿⣯⣿⣾⣿⣿⣿⣽⢠⡟⣇⢳⡘⣿⡄⠑⠌⢻⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣧⠀⣼⣿⢸⣧⢇⣿⣼⣻⣧⢻⡿⣿⣿⣿⡿⣽⣿⣷⣿⣿⣽⣿⣷⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣽⣿⢯⣿⣟⣷⡿⣾⣻⣾⢯⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡼⣏⣷⣹⣆⢻⣽⣿⢦⠀⠂⢹⣿⣿⣿⠒⡤⣄⣀⡤⠊⣡⢿⣿⡇⢀⣧⣿⣎⣿⣸⡿⣼⣿⣧⡟⣯⢻⣱⣿⣻⣟⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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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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⢯⡽⢭⢳⡹⢮⡝⢮⢳⢭⣛⡼⡹⢎⡷⢭⡳⡝⢮⡳⡝⣎⠷⣭⠳⣝⢮⠳⣭⠗⣫⣟⢻⣻⣜⡣⡟⡼⡭⠋⢠⠾⣍⡳⣿⣏⠾⣱⢫⢞⡹⢮⡝⢮⢳⢭⡳⢭⡳⡝⢮⡝⢮⡝⢮⡝⢮⡝⢮⢳⡭ ⡗⡞⡽⣊⠷⣓⠾⣩⢏⠶⡳⣼⣙⡳⡜⣧⢳⡹⢣⣗⡹⣜⢳⠮⣝⡎⣞⣽⠁⢰⢳⢎⡗⡳⢮⠵⣹⠞⠁⢠⡟⠫⣯⠵⣿⢮⡹⣥⢛⠮⡝⡶⣙⢯⡹⡲⣝⢣⠷⣹⢓⡞⣣⡛⢧⢞⣣⠻⣍⡳⣝ ⡯⣝⢺⢥⣛⡭⢞⡵⢫⡽⡱⣇⡞⣵⠛⡶⠯⣝⣳⣬⢓⠮⣇⡻⢴⡹⢆⣿⠀⢸⠽⢞⠞⠛⢓⠟⠁⠀⢀⠋⠀⠤⣞⢭⣿⠮⡵⢎⣯⣙⢧⠽⣩⢶⡹⢵⣩⢏⡾⣱⢫⢞⡵⣹⢋⣮⢓⡻⡜⡵⢎ ⡷⢭⢞⡱⡞⡼⢭⣚⢧⢳⡝⣲⡹⢎⣧⢻⢶⣤⡀⠉⠉⠉⠒⠛⠶⠽⣞⠭⣓⠬⡷⢣⣦⣌⠉⠐⠢⢤⡋⣀⠀⣀⣈⣺⣸⡹⣜⢏⢶⣩⠞⣭⣓⢮⣓⢏⡶⣙⠶⣍⡳⡞⡼⣱⢫⢖⣫⢵⢫⡝⢮ ⣝⡳⣎⡳⢭⣫⠗⣭⢞⣣⢞⡵⣹⡚⣜⢯⡶⢭⠿⠓⠦⣀⠀⠀⢀⠜⡡⡪⠚⡿⠁⠀⠀⠈⠙⢦⡀⠀⠈⠒⢦⡈⣗⣞⡷⡹⣜⢮⣓⢮⡛⢶⡹⣲⠭⣞⡱⢯⣙⢮⠵⣫⢵⣋⢧⣛⡼⢎⣧⢫⢳ ⣧⢳⡹⡜⢧⣣⠟⣜⠮⣵⠺⣜⣥⠻⣌⢯⣟⡯⢷⠆⠀⠀⣫⡽⠁⠔⡜⠁⢰⠀⠀⠀⠀⠀⠱⠀⠈⠢⠀⠀⠀⢕⢿⡿⣜⢧⡹⢦⢫⢶⡹⣣⢗⡣⣟⢬⡝⣮⣙⢮⡝⣥⢳⢪⢳⣚⡼⢭⣲⢋⡧ ⣧⣛⡼⣍⠷⣪⡝⣮⢛⡴⡻⣜⡲⣛⡼⢆⣏⢿⣿⣠⡶⠛⣹⠁⠈⡘⠀⠀⠈⡇⠀⠀⠀⠀⠀⢡⠀⠀⠱⡀⠀⠀⢢⠙⡜⢷⣹⢣⣏⠶⣹⡱⣎⢗⠊⣗⣺⢱⡮⠗⣾⢥⡏⣏⢧⡳⣚⢧⣣⠟⡼ ⣖⡳⣜⠮⣝⣥⢛⡖⣏⡞⡵⢭⣓⡳⡜⢯⡜⢮⡹⢯⣧⣰⠇⠀⢠⠁⠀⠀⢁⠰⡀⠀⠀⠀⠀⠈⣧⡀⠑⣡⠀⠀⠀⡱⡘⡀⠻⣷⡼⣩⠧⡽⡜⡮⣝⡲⡽⠃⠀⢀⣞⡞⡼⢭⢶⡹⣱⢫⠖⣏⡳ ⣧⣛⣬⢳⢣⣎⢯⡜⡞⣼⣙⠮⡵⣍⢯⡓⣞⣣⣝⣚⣾⡟⠀⠀⢸⠀⠀⠀⢸⠀⠑⡀⠀⠀⢃⢠⣇⠽⢦⡸⡄⠀⠀⠰⡕⡡⠀⠘⢽⢧⣛⠶⣹⣱⣣⣏⣇⣀⣤⣞⢳⡺⢭⡳⢎⡷⣩⢗⡻⡜⡵ ⢯⡝⣭⠞⡮⣝⠮⣵⠳⣍⣟⡲⡵⡹⢎⡳⡽⣩⡝⣽⡽⣇⡀⠀⢸⠀⠀⢀⡞⣶⡄⠑⠄⠀⢸⢨⡏⡀⢌⣳⣧⣤⠀⠀⡷⠡⢂⠰⡜⣞⣟⡲⢭⠟⠉⢹⣝⣻⣛⣏⣞⢣⣞⢣⡞⣥⠻⣜⣣⠷⣱ ⣧⣛⣬⢛⡼⢎⡽⣒⡟⣜⡲⢭⡳⡝⣭⠳⡵⢳⢼⡟⣴⢿⠃⠀⠸⡀⣄⣻⠋⠙⣿⡄⠀⠀⢸⢸⢿⣿⣿⢻⣿⢸⠀⠀⢰⡆⠈⠆⣿⣼⢯⢵⣻⣀⡤⣞⠮⣕⣫⠼⣜⡳⢎⣳⡹⣒⠿⣸⢖⣫⠵ ⡳⣎⢶⢫⡜⣏⢶⡹⣜⣣⡝⢧⣳⢹⣒⢯⣱⣯⣮⣾⣾⢹⡄⠀⠠⣧⣿⣿⣿⣿⣾⡌⠑⠤⡌⠃⠏⠷⠛⠛⣹⡄⠀⡄⢸⣧⢀⡸⣿⣿⢫⡞⠁⢨⡟⣼⣙⡞⣴⡛⣬⠳⣋⢶⡹⢭⡞⡵⢎⣧⢛ ⡷⢭⡺⢥⡻⡜⣮⠵⢮⡱⢞⡳⢬⣓⢮⡯⣖⣇⠋⡄⣾⢺⠑⡄⠀⠘⣻⡷⠼⠞⠛⠋⠀⢀⣀⡀⠀⠀⢀⡠⢻⠀⢠⠁⣼⣿⢸⣸⣟⠧⣏⡧⡴⡯⢽⣲⣁⣸⢶⣙⢮⢲⣙⢮⡝⡶⣹⣚⡭⢖⣫ ⡝⡧⣝⡣⢷⣙⠶⣭⢳⠿⢧⠿⣧⡽⠊⠀⡞⢻⡧⣇⣼⣾⡀⣷⠀⠀⠹⣷⣀⠀⠀⢀⠀⠉⣏⣀⣤⠀⠀⠄⣇⡜⠘⢠⣿⣿⣿⢇⣿⡽⣺⢵⢫⡗⡾⣱⣋⡞⣳⡹⢎⡳⡭⢶⡹⡼⣱⣚⢼⣋⠶ ⣏⡗⣮⠵⣋⢮⣓⢮⡟⠃⠀⠀⢏⠀⣀⠄⠛⠙⠚⠛⢉⣿⣿⣿⡎⢄⠀⠹⣧⡁⠀⠀⠉⠛⢿⣙⡇⠀⣠⣾⡿⠀⢇⣸⣿⣿⡽⡈⡜⣾⣱⢫⡳⣜⡳⣥⢳⡝⡶⣹⢭⣳⢹⡣⢷⣩⠗⣮⢓⡮⣝ ⣧⡛⣴⢫⡝⢮⡱⣿⣀⠀⠀⠀⠀⠀⠹⢤⣄⣀⣠⡞⣿⡝⣯⣿⣿⣌⢢⠀⠹⣿⣿⣶⣶⣦⣌⣉⡰⡟⢯⡽⡇⠀⢸⣿⣿⡿⣷⣣⠘⡰⣧⢳⣙⠶⣙⠶⣫⣜⠳⡵⢮⡱⢧⡛⡵⢎⡻⣬⢏⠶⣭ ⣧⢛⣬⡓⣞⣣⠽⣜⣧⣦⣀⠀⠀⠀⠀⠀⢹⣿⡷⣹⡏⠁⡇⣿⣻⣿⣿⣷⠀⣝⣯⣿⣿⣷⡉⢦⠱⢘⡠⢇⢳⢀⠈⠿⣿⣿⣿⠿⠓⠒⠿⣵⢎⢯⣙⠾⣱⢎⢯⡵⢫⡵⣋⠾⣍⠯⣵⡚⣎⡟⡴ ⣎⡟⣴⢹⡲⢭⢞⡲⣛⡿⠋⠴⣦⣠⣀⠴⣪⣿⢳⣹⡇⠀⢇⣿⡿⠗⠛⠛⣇⠿⣿⣿⠟⠛⠈⠀⠈⠀⠀⠀⠑⠳⢭⣱⣴⡾⠔⠀⠀⠀⠀⠘⢻⢮⡱⣫⠵⣎⠳⡜⣧⢳⢭⣛⣬⢛⡶⣹⠼⣜⢳ ⣧⣛⣬⢳⡹⢎⡧⡝⡾⠁⠀⠀⠈⢻⡟⣟⡻⣍⢧⣏⠇⠀⢸⡟⠀⠀⠀⠙⠁⠀⠀⠈⠉⠒⠂⠤⠤⡀⠀⠀⠀⠒⠉⠀⠀⠀⠀⠀⠀⠠⠀⠀⠈⣷⡹⢥⡻⣜⣣⢝⡲⢏⡶⣍⠶⣋⢶⣙⢮⡝⢮ ⡳⣎⠶⡹⡜⢧⢳⡝⠀⠀⠀⠀⠀⡿⡹⢼⡱⢞⣺⣹⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⣿⢜⣣⢗⡳⣜⢦⡹⣓⢾⡸⣭⢛⡬⣏⢶⡹⢣ ⡷⣩⠷⣹⣙⢮⠟⠀⠀⠀⠀⠀⠀⣟⣽⡳⠟⠉⠀⢸⠀⠀⠀⢰⠈⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⢀⣿⢮⡱⣎⠷⣎⢧⣛⠼⣣⢳⠵⣋⢾⡱⢮⣙⢧ ⢷⣙⡞⣱⢎⠏⠀⠀⠀⠀⠀⠀⠀⡏⣹⠁⠀⠀⠀⢸⢀⠀⠀⢸⠒⣊⡿⢷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⢂⣿⢺⡵⣎⡳⢎⡗⢮⣫⠵⣋⢾⣙⠶⣙⢧⢫⢞ ⡗⢮⣜⢣⡟⠀⠀⠀⠀⠀⠀⠀⢀⢇⡏⠀⠀⠀⠀⠘⡘⠀⠀⢈⣶⣿⣯⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣟⡀⣷⢣⣝⣫⡜⣧⢳⢫⡝⡶⣩⢻⢭⠞⣭⠞ ⣏⢷⣊⠷⣇⢀⠀⠀⠀⠀⠀⢀⠞⠸⡃⠀⠀⢀⣤⣇⠇⠀⠀⢠⣿⣿⡿⠁⠀⣀⠠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣯⣓⠮⣖⣹⢲⣋⢧⣝⢺⣱⢫⣎⢟⣬⢛ ⣝⡲⢭⢞⣹⠇⠀⠀⠀⠀⠴⠃⢀⠆⣁⣤⡶⣟⣻⡟⠀⠀⠀⢰⣿⣻⠃⢀⢞⣵⡦⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣖⢻⣎⠷⣎⡵⣣⢏⡞⣬⢳⢣⣗⡺⢎⡮⣝ ⡧⣝⣣⠞⣟⡀⠀⠀⡤⢤⣤⣶⡿⣂⡿⢧⣛⠴⣻⠁⠀⠀⠀⢸⡷⣿⠀⠸⣈⠛⡚⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠨⣙⣯⢳⠞⣴⣋⢮⡝⣎⣳⢋⡶⣹⠭⢶⣩ ⡷⣩⢖⠯⣝⢯⡶⢶⡟⢯⣓⢮⡵⢟⣏⡳⢎⣽⠃⠀⠇⠀⠇⢸⣟⣿⠀⠀⠙⠒⠒⠁⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣱⢯⣓⢯⢲⠭⡞⡼⣱⢎⣏⢶⡹⣚⢧⢳ ⣧⡛⣼⢲⣙⢮⡳⡼⣱⢎⡟⣬⠳⣜⣯⠳⣜⠏⠀⢰⠀⠀⡆⣼⣻⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠀⠀⠀⠈⠲⣤⡄⠤⠀⠀⠀⠀⠀⡀⣤⡿⣎⠟⡜⡾⡶⣧⠳⣭⢞⡹⣜⢧⢻⡜⢮ ⡶⣹⢲⣍⢮⢳⣱⢓⡧⣞⡹⣒⠟⣜⡺⣯⠋⡜⠀⡄⠆⠀⡇⢿⣳⢾⣟⣷⣦⣄⡠⡀⣄⢠⣀⣦⣼⠿⠃⠀⠀⠀⠀⠀⠀⠘⢿⣳⣶⣬⣴⣬⢶⡟⣯⡿⣜⢯⣙⠶⣧⡷⣛⢦⢏⡳⡭⢞⣣⢞⣣ ⡷⣙⢶⢪⡝⡞⣴⢫⠶⣍⡳⣝⢺⢥⡟⠁⢠⠁⠀⢣⠀⢀⡧⢿⣝⢾⣿⣯⢿⣿⡟⡿⡹⣏⡯⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢯⠻⣿⣏⠾⡘⣿⣿⢻⠷⣟⢾⡹⣱⢭⠞⣎⢷⣩⠷⣩⢞⡲ ⡷⡹⢎⣳⡚⣝⢮⡓⡯⢼⡱⣎⡳⠋⣀⣤⡇⠀⢸⠈⠀⢸⣼⢻⣮⢻⣾⣽⣯⢿⣷⠱⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠋⡔⡡⢻⣿⢭⢻⡜⣣⢽⡱⣎⢟⡼⣚⣬⠻⣥⣛⠼ ⡷⣹⡹⢆⡟⡼⢎⡳⣝⢣⢗⡞⣡⡴⢯⣽⠀⠀⡆⡎⢀⢾⡞⣿⣎⢯⣿⡖⣿⣻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢳⣏⠡⢒⡥⠛⢿⣎⣗⠺⣥⢳⣣⡝⢮⢞⡱⣎⢟⡴⣭⢛ ⡗⡧⣝⣣⡝⡞⣭⣓⠮⣽⣾⢎⡷⣙⠮⣟⠀⢀⡇⡇⡾⣸⢏⣻⣯⢞⣽⣟⡴⣻⣿⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢅⡾⣌⣹⠊⠀⠀⠈⣷⣎⠟⣬⠳⢶⡹⡭⢞⡱⣝⡺⣜⢖⣫ ⡯⣵⠺⡴⢭⣛⡴⢭⢞⢣⣏⠾⡜⣭⢫⣇⠀⢸⡇⣧⠳⣽⣏⡞⣿⢾⡜⣿⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣼⡷⢲⠃⠀⠀⠀⠀⠘⣮⣛⠼⣙⢧⡝⡞⣭⢳⡍⡷⢪⡝⣦ ⣗⡣⣟⡱⢏⡶⣹⢎⡻⣾⣬⠳⣝⡲⣍⢿⠀⢸⣳⢹⡱⣯⣛⢾⣭⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠃⠀⠀⢿⣿⡉⠀⠀⠀⠀⠀⠀⢸⣜⣫⠝⣦⣛⡼⣱⢳⣚⣭⢳⣹⠲ ⣎⠷⣎⡵⢫⢶⣙⢮⠵⣙⡖⣻⢬⣓⠮⡽⡆⢸⣷⣛⣧⡷⢭⣺⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⢹⣾⣧⠀⠀⠀⠀⠀⠀⠘⡗⡮⣝⠶⣱⡝⣲⢏⡼⣲⢋⡶⢫ ⣏⣗⢺⡜⣏⠶⣭⠺⣍⣗⠺⣥⢳⢎⡻⡜⡽⣼⣮⢝⡾⢯⣷⡫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⠀⠀⠀⠀⠀⠀⡿⣱⢎⡻⢴⢫⡵⢎⡳⡵⣋⡞⢧ ⡳⣎⢗⡺⢼⣙⠶⣛⡼⣜⢻⣬⡓⢯⡱⢏⡵⣋⢟⡺⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢟⡽⣧⡀⠀⠀⠀⠀⣟⡱⢮⡝⣣⢯⣜⣫⢵⡳⣹⡜⢧ ⡷⢭⣺⠱⣏⢮⡛⣵⠺⡜⡧⢶⡹⣣⠯⣝⡲⡝⣎⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣿⢪⢼⡹⣷⡀⠀⠀⠀⢹⡹⡖⣭⡓⡾⣰⠭⣶⢹⣱⡚⢧ ⣏⠷⣸⢫⣜⣣⡝⡖⣯⡹⣜⢧⢳⢭⡓⡧⢽⣸⢯⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠠⢀⠂⠀⠀⠀⠞⠸⣿⣹⠲⣍⠿⡷⡀⠀⠀⠸⣗⣹⠲⣍⠷⣩⢗⡎⡷⢲⡝⣣ ⡭⣏⢳⡣⢞⡲⡽⣙⢦⡝⡞⣎⠯⡖⡽⣙⢶⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢰⢘⠀⠤⡁⠢⠀⠀⡴⠀⠀⣸⢽⡞⣝⢮⡙⣿⡵⡀⠀⣀⠿⣾⣝⣮⣝⣣⢞⣱⢫⢧⠽⣱ ⡷⣍⡳⣍⠯⡵⢳⣙⢮⢞⡹⡼⢭⢳⣙⣎⡟⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠂⢈⢶⠋⡈⠔⡸⠔⢀⢼⠀⠤⠚⠉⢛⣿⡜⡮⢵⣾⣷⠋⠉⠀⠀⠀⠀⠰⣟⢦⣛⣬⠳⣎⢟⡲ ⠷⣍⠾⡜⣭⢳⢏⣮⠳⣎⠷⣍⡻⢬⢳⣼⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⡞⠏⠀⠀⡼⠁⣰⡣⠊⠀⠀⠀⠀⠀⠸⣿⠜⣿⡽⣸⢄⠀⠀⠀⠀⠀⣲⣿⠮⣕⠮⣝⣚⠮⡵ ⡟⣜⡻⣜⡱⣏⢞⣲⢛⣬⠻⣜⡭⢳⣣⢾⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⣧⠀⠀⢠⢲⠀⢀⡼⢓⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣝⣻⣧⢇⡗⡦⠴⠒⢛⠉⠀⠌⡉⠙⢯⢶⣩⣛⠼ ⡟⣬⢳⢎⡵⣎⢏⡶⢫⡼⣙⠶⣙⡳⣬⢻⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢸⣦⣴⡾⣯⣴⠛⠀⠎⠀⠀⠀⠀⢀⣠⢤⡴⣴⣶⡟⣟⣿⣹⣿⣿⣿⣶⣄⠀⠡⣤⣀⠈⠐⢤⡷⣣⢞⡹ ⢷⡹⢮⡜⢧⡝⣞⡱⣎⢧⣛⡖⢯⠳⣍⢾⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡈⣟⢿⢁⣿⢋⣀⠰⠀⠀⣀⢤⡒⡎⢿⣘⣷⣟⣻⣗⣯⣟⣿⣿⣿⣿⣿⣿⣦⣄⣿⣿⠒⠀⣼⢧⢫⢞⡱ ⣧⠻⣜⢎⡷⣙⢮⠵⣋⢮⢵⠺⣍⡟⣬⢻⣧⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⢹⢺⣿⡇⣃⡼⣤⠖⣫⣇⣧⠾⢾⢿⠿⣿⠿⣿⣿⣿⣿⣿⣿⢿⣿⣻⡿⢿⡿⢿⣿⣷⣘⣿⣏⢧⣫⠵ ⣧⢻⣜⡚⣶⠹⣎⡽⣙⢮⢞⡹⢮⣜⢣⢧⣻⡜⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢁⣼⣾⣿⡾⣿⢃⡷⡻⢏⡝⢦⠛⡌⢎⠒⢤⡛⢦⣝⣿⣿⡟⡵⣿⣷⠟⡴⢧⢯⠗⣰⢯⡹⢎⣝⡲⡵⢫ ⣎⢷⡸⠵⣎⢟⡼⣱⢫⠞⣮⢝⣣⢎⣏⠶⣻⣿⣶⣤⣤⢤⣤⢤⡤⣤⠤⡴⢒⡖⢻⣻⠀⣟⠯⣯⠳⠃⣼⣚⣵⣯⣼⣾⠿⢻⡙⢯⣋⡟⣶⣮⣽⣿⣿⣼⣿⠷⣦⢸⣻⠀⣤⠟⣜⡳⣋⢮⡕⣏⡳ ⣏⢶⡹⣣⢏⡞⡼⣱⢫⣝⡲⢫⡜⣧⠺⣍⡳⣿⣿⣿⡹⢧⠙⠈⢁⡼⣡⢃⡧⣜⣣⡏⢸⣿⣿⣿⡄⢠⣿⣿⡻⣭⠳⣌⣋⠖⡩⡞⠈⣿⢱⢾⣽⣿⣿⡟⢧⣛⡬⣇⠃⡸⢧⡻⡜⡵⣋⠾⣜⡱⣝ ⣏⢶⣹⠱⡮⣝⢞⡥⣏⢶⡹⢧⣛⡴⣛⣬⠳⣿⣿⣷⡿⣽⡇⠀⣼⡵⠾⠷⣞⡿⣯⣷⣾⣿⣿⣿⡟⣿⡿⣞⡵⣣⢛⡴⢌⢎⡱⡇⣠⠟⡜⣮⢻⣿⡝⣺⢣⠷⣸⢹⡀⣟⢧⢳⣹⣱⢫⡝⢮⡵⢎ ⣏⡞⡼⢳⡹⣜⢮⣓⠮⣇⢯⢳⡱⣞⡱⣎⡽⢿⣿⣿⡿⣝⢿⢠⣛⣛⢻⡹⣍⡳⣭⡽⣹⢿⣿⣿⣿⣿⣿⣽⢺⣥⢫⠴⣉⠖⣰⠻⣇⡹⢎⡵⣻⡯⣜⣣⠟⣼⢣⠗⡇⣯⢞⡣⡗⡼⢣⣏⢗⡮⣝ ⣧⣛⢼⢣⡝⢮⢶⡩⢷⣩⢞⣣⢗⡎⣗⠞⣜⣣⢿⣿⣿⢿⣻⠸⡖⣭⢋⠭⢭⡱⢲⣙⢧⣻⣿⣟⣿⣿⣿⣞⡳⣎⢧⢓⡌⢎⡹⢴⠣⣜⢣⡻⣽⣗⣣⠞⣝⡖⣫⡝⠃⣧⠻⣜⡭⢳⣫⡜⡞⡼⣜ ⡶⣹⢎⢧⢫⢏⡶⣹⢣⢞⣣⡝⢮⠞⣥⠻⣜⡲⢫⢿⣿⣯⣿⣤⣟⡬⣋⡞⣥⣙⢧⡹⣎⣟⣿⣿⢲⡿⣟⣾⡳⣝⡎⣎⠜⡄⢎⢆⠳⣌⢧⣛⣿⡱⢎⡻⡜⣼⠱⣾⠀⢹⡹⢖⡹⢇⣳⢚⣭⠳⣎
( ͠° ͟ʖ ͡°) sussy? ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢱⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡎⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⠛⠛⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠛⠛⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⠀⠀⠀⢰⣶⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⣶⡆⠀⠀⠀⠀⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣿⣿⠀⠀⠀⠈⠉⠀⠀⣿⣿⣿⠉⣿⣿⣿⠀⠀⠉⠁⠀⠀⠀⣿⣿⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣀⣀⣀⣿⣿⣿⣿⣿⣿⡇⠿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣤⣄⢸⡇⣠⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⡄⠀⣠⣤⣿⣿⠀⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢳⣶⣶⠀⠀⣿⣿⣿⣷⡄⠙⣿⣿⠀⣿⣿⢸⣿⣿⠀⣿⣿⠀⢳⣾⣿⣿⣿⠀⣶⣿⣿⣷⡟⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⠀⠉⣿⣿⣿⣿⣿⣿⠀⠉⠁⠈⠉⠉⠀⠉⣿⣾⣿⣿⣿⠉⣾⣿⣿⡟⠁⢸⡏⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣷⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣀⣿⠀⠀⠀⢀⠀⠀⠀⠀⠸⣿⣿⣀⣀⠀⣿⣿⣿⣿⣿⣿⠀⠀⣀⣀⣸⣿⣿⣿⠀⠀⠀⣸⡇⠀⠀⠀⣿⣀⣿⣿⣿⣿ ⣿⣿⡿⣦⠿⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢸⡇⠀⣿⠿⠀⠀⠿⠿⠿⠀⠿⣿⠿⣿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠿⣿⡼⢿⣿ ⣿⡟⢣⠟⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢸⣧⣤⣿⠀⠀⣿⣿⣿⣧⠀⣤⣿⣴⣿⠀⠀⠀⠀⠀⣤⣿⡇⠀⠀⠀⠀⠀⠀⠀⣷⡞⢿ ⡏⢱⣾⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⠉⠉⠉⠉⢱⠀⠉⣶⠀⣿⣿⣿⣿⠀⣿⠉⠀⣿⠀⢰⣶⣿⠉⠉⠀⡇⠀⠀⠀⠀⠀⠀⠀⢹⡇⢸ ⣇⢸⣿⡀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⠀⣿⣿⣿⣿⠀⣿⠀⠀⣿⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⡇⢸ ⣿⣿⡇⣿⣿⢀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⡀⣿⣿⠀⣿⣿⣿⣿⠀⣿⣿⣿⠀⡇⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢠⣿⣇⣼ ⣿⣿⣿⣿⣀⠿⣿⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠿⠿⠿⠿⠀⣿⠀⣿⠿⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⣀⣿⠿⣸⣿⣿ ⣿⣿⣿⣿⣿⣿⣤⠋⢠⣼⣿⣿⣤⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⣿⣿⣤⣤⣤⣤⣤⣤⣤⣿⡟⠃⢸⣿⠛⣤⣤⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡎⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢱⣾⣷⣶⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⡇⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⢇⡸⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡇⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⠀⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡇⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⡇⣿⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⡇⣿⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢿⣸⣿⣿⣿⣀⣀⠿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣠⣿⣿⣿⣿⣿⠿⠀⣀⣸⣿⣿⣇⣀⠿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⠛⠛⠛⠛⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣶⠉⠉⠉⠉⠉⠉⠉⠉⢹⡎⠉⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⠉⠉⠉⠉⠉⣷⠋⠉⠉⠉⠉⠉⠉⠉⠉⣶⣿⣿⣿⣿⣿
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“kids are on this site” why are they even on the internet.. like omg stop crying its not that deep move on and get your emoji combos/symbols. you search porn you get it you dont search it you dont get it so like..??? 💀 ⠀⠀⠀⣴⣾⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣉⣩⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⣿⣿⠉⣿⣿⣿⣿⣿⡄⠀⢀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣿⣿⣧⣿⣿⣿⣿⣿⡇⢠⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⣸⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠿⢿⣿⣿⣿⣿⡿⠛⠻⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⣩⣝⢿⠀⠀⣠⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⡝⣿⣦⣠⣾⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣮⢻⣿⠟⢿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠻⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠇⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⢀⣴⣿⣿⣿⣿⣟⣋⣁⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠹⣿⣿⠇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇
⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢛⣿⣿⣿⣿⣿⣿⣿⡿⢿ ⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣦⡈⢿⣿⣿⡇⢶⣶⣤⣍⣙⠻⢿⣿⣿⣿⣿⡟⢁⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸ ⣿⣿⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⢿⣷⡘⣿⣿⣿⣿⣷⣦⣉⠻⣿⡏⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠻⠷⠈⢛⣿⣿⣿⣿⣿⣷⣄⠠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨ ⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠡⠴⠾⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨ ⣿⣿⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣼⣿⣧⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠ ⣿⣿⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⣿⣿⣧⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣡⣿⣿⣿⣿⣿⣿⣿⡏⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣼ ⣿⣿⣿⣇⠹⣿⣿⣿⣿⡟⠻⠿⠛⠋⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⣤⣤⡄⢼⣿⣿⣿⣿⣿⠏⣰⣿ ⣿⣿⣿⣿⣆⠹⣿⣿⡟⢰⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⠈⣿⣿⣿⠟⠡⠼⠿⣿ ⣧⠠⣬⣍⣉⣁⣸⣿⠃⣾⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢠⣿⣿⣿⡇⣿⣿⣶⣶⣶⣶⠂⣼ ⣿⣧⡘⠿⣿⣿⣿⣿⡆⢻⣿⣿⣿⡀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⣠⣾⣿⣿⣿⡁⢿⣿⣿⣿⠟⣡⣾⣿ ⣿⣿⣿⣶⡌⣹⣿⣿⣿⣴⣿⣿⣿⣿⣶⣶⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠺⣿⣿⣿ ⣿⣿⣿⡟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⠿⠛⣛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡘⣿⣿ ⣿⣿⡟⠰⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣴⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠟⠛⠛⣃⣨⣿ ⣿⣿⣷⣶⣶⣶⣶⣿⣶⣬⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠋⢩⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠠⣬⣍⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣬⡅⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠸⣿⣿⣿⣿⣿⣿⣿⣿
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hey im a girl who wants happiness but i want someone who knows how to make someone wet in messages who also can fuck i want to loose my virginity im actually super sexy i have big boobs and a big ass i only text in messages my discord is: yiz2ning. only men pls🥰 more than 15 yo ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⣴⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣙⣛⣋⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣿⡿⣿⣿⣿⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣀⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠎⠠⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠉⠪⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠗⡁⠄⡁⠎⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠐⡈⠛⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⢋⠀⠄⢂⠐⢠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⠂⠄⠡⠈⢓⢽⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣫⢟⣽⡃⠂⠄⠂⠄⣈⢀⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡄⠌⡐⠠⠀⢂⠝⢻⣾⣽⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⠛⠟⠑⠊⠉⠙⠹⠟⢿⣿⣿⡟⣟⣿⣾⣿⣫⡿⠃⡠⠁⠀⡐⢀⠀⡴⡱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⠰⠀⡁⢂⠀⠈⠣⡝⠳⣿⣻⢷⣾⣭⣟⣻⣿⣿⠋⠀⢘⣛⠂⠁⠀⠀⠀⠐⣼⣷⣆⡀⠈⢿⣿⣿⣿⡿⣵⠋⠁⡼⠂⠁⢀⠀⠂⣌⡔⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡧⣁⡄⠀⠀⠀⠂⠨⣑⠑⢝⣿⣝⣿⣿⣿⡿⠃⠀⢀⣴⣇⠀⠀⠀⠀⠀⠈⠀⠈⠹⣕⡲⠌⢻⡿⣻⣹⠃⠂⣈⡴⠀⠀⠂⠠⢉⡼⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡥⣐⠥⠀⠀⠀⠁⠠⠿⠖⠄⠙⣯⣻⡿⠁⣠⡴⢟⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣷⢤⡀⠙⠷⠁⠀⠘⣉⡤⠎⠀⠀⠡⠌⡠⠎⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⠾⠧⣀⠀⠀⠈⠀⠛⠒⡐⠂⠈⠉⠀⠈⠱⣪⡿⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⠀⠀⠀⠐⠈⡁⢋⡠⠀⠀⡡⢞⡴⠊⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⡀⡠⢀⠀⠠⢍⣃⠡⢀⠂⠀⠀⡀⢞⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠒⡉⡠⠀⠜⡨⠃⢴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠤⠄⠒⠠⠀⡄⠠⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣠⣴⣶⣾⣿⣿⣿⣿⣷⣦⣄⠀⠀⠈⠂⠀⠀⠀⠀⠀⢲⡐⡣⢖⡱⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠉⣁⡩⢄⡲⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢈⡁⠖⢲⣯⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⠗⠒⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠐⠨⣠⣾⣻⣿⣮⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠮⣭⣭⣍⢷⣿⣷⡹⣿⣿⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⠄⠂⡜⠠⢑⠀⢌⡐⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣼⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠛⠛⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⢎⠐⠠⠁⠂⢀⡒⢌⢂⠈⠄⠀⢀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣶⣦⣞⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢀⣤⣶⣀⠀⢀⠠⣀⣀⣀⠀⠀⠀⠀⠀⢀⠀⡀⣀⠐⠈⠀⠀⢂⠁⠌⠀⢂⡈⠤⢀⠠⡀⠀⢀⣀⣁⡀⣒⠲⢿⣿⣿⣿⣿⣿⣿⣿⣷⣕⢝⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣟⢎⠀⠲⢉⣷⣿⣿⣷⣌⣀⠀⢀⡀⠀⠠⣤⣷⣦⠀⠐⣠⡃⠏⠽⡱⣀⢈⢠⡰⣍⢢⠅⣢⡶⠾⠿⣿⣄⣙⠿⢿⣾⣷⢀⡏⣿⣿⣿⣿⣿⣿⣿⣿⡅⢝⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠃⢨⡁⣾⣿⣿⣿⣿⣿⡟⢰⣿⣿⣿⣷⣦⣶⣶⣶⣿⣿⣿⣷⣕⠧⣬⣜⢢⢳⢌⡡⠤⢌⡐⠚⣿⣿⣿⣿⣿⣷⣶⣦⣿⣥⣿⣿⣿⣿⣿⣿⣿⣿⠇⢱⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⡓⢦⡙⣿⣻⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣮⣶⢶⣤⢅⣤⡭⢸⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣹⣿⣿⠂⢱⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢀⠡⢘⢢⡑⠢⠁⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣛⣛⣛⣦⣭⣭⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣚⣿⣿⢣⠃⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣸⢂⠁⢆⡘⠡⠀⠀⢋⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠠⣙⡾⢣⢃⠇⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⡏⠄⠂⢌⠡⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠐⡩⢞⠡⢊⠂⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⢙⠆⠈⠄⢂⣼⣿⡿⢫⠵⢆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣶⣯⡟⢿⣿⣦⠑⠌⡂⠏⣸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⢋⠐⢂⣾⣿⠏⠀⠀⠞⣼⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣻⡟⠂⠀⠡⠽⣿⣧⠠⣙⢀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢸⠠⡸⣿⣿⠀⠀⠀⢀⠻⠟⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⠿⢇⠀⠀⠀⠃⣿⣿⡆⠈⣸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠇⡇⠿⡻⢄⠀⠂⢈⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢰⣿⣿⣿⡄⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣀⠂⠄⢂⣼⣿⡿⢐⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠃⡇⢒⢁⠢⠉⡜⣩⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡝⡎⢡⣿⣿⣿⣿⣷⠘⡥⣍⣛⢿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡹⢌⠳⣌⢃⠒⡈⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡒⠸⠀⢊⠄⣃⠰⢠⠙⡌⢏⡝⢫⡛⡝⣫⠝⣬⣳⠋⢁⣾⣿⣿⣿⣿⣿⣧⠘⠱⢎⡣⡝⢮⡹⢍⡏⢳⡉⢎⡑⢢⢉⠒⡄⢊⢠⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠱⠀⠡⠈⡚⢤⠓⢦⠱⡘⢦⡘⣥⢚⡜⢥⠛⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣧⡀⠁⠊⢝⠢⢇⡏⡼⣡⠞⣤⡙⢦⣉⠞⠌⡡⠂⠆⣼⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢣⠀⠑⠈⡠⢋⠦⢩⠱⢢⡙⠤⠃⠘⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠉⠒⠬⣑⢣⡙⢦⡙⢆⢎⠲⠈⢁⡜⠀⣿⣿⣿⣿⣿⣿⢟⣿⣿ ⣿⣷⣯⡻⣿⣿⣿⣿⣿⣿⣿⡇⠆⡘⢀⠂⠀⠈⠀⠁⠈⠀⠀⠀⠀⢀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠁⠠⠀⠀⠀⠀⠈⠀⠈⠀⠀⠠⢈⠆⡜⢸⣿⣿⣿⣿⣿⣷⣿⣿⣿ ⣿⣿⣿⣿⣮⡻⣿⣿⣿⣿⣿⣷⠐⢠⠁⠂⠄⠀⠀⠀⠀⠀⢀⠐⠈⠄⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣷⣄⠁⠂⠄⠀⠀⠀⠀⠀⡈⠐⢄⠚⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⣝⢿⣿⣿⣿⡈⠔⡨⠐⠠⠀⠀⠀⠠⢈⠠⠈⠄⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡳⢿⡿⣿⢦⠉⢤⠁⠂⠀⠀⠀⠄⡁⢊⡌⢸⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⡻⣿⡇⠀⢂⠁⠂⠄⠀⠀⠂⠌⢢⠑⡬⢳⡙⢶⣙⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢧⡻⣜⢧⣋⠦⣉⠐⠀⠀⢈⠐⠈⢆⠀⡿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡳⠄⠂⠌⡐⠀⠀⠀⠀⠘⢠⢉⠖⡣⡝⢦⡹⢮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⡹⣮⢁⠞⡠⠀⠀⠀⢀⠈⠄⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡈⠀⠀⢀⠀⠀⠀⠐⢠⠊⡔⢡⢛⡴⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⠁⣎⠞⠠⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⢂⠱⣘⠂⢃⠔⣻⣭⣭⣟⣻⢿⣿⣹⣿⢿⣻⣿⣿⣿⣿⡿⢯⡀⣏⢎⡁⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⣠⠳⡌⢀⣴⣿⣿⣿⣿⣿⣿⣿⣦⣥⣾⣿⣿⣿⣿⣿⣿⣿⣷⣄⠸⣎⣄⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢀⣺⣾⣥⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣝⡳⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢪⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠱⣊⢟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯ ⠱⣈⠮⣙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣛⠧ ⢢⠑⡬⢡⢛⡭⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣝⢮⡱⢋ ⢠⠓⣐⠃⡎⡜⢣⢏⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡏⣗⢎⡳⢌⡣ ⢄⡋⢤⠩⠔⣌⢣⠚⣜⢣⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡹⣓⠞⡜⢪⡑⢎⠴ ⢢⡉⢆⠳⠌⡔⠢⢍⢢⡙⢎⡝⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣙⢮⡱⢍⡚⣌⠣⡜⣌⠒ ⢢⡙⣌⢣⡙⠴⣉⠦⣁⠞⡰⡘⢬⡓⢯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡹⢦⡙⢦⠓⣌⠖⣌⠓⡬⢰⣉ ⠦⡱⢌⠦⡙⢦⡑⠦⣑⠸⡐⡍⠦⡙⢬⡓⢯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡹⢎⡵⢣⠹⣌⡹⢄⠫⡔⣩⠒⡥⢒ ⢸⡑⢎⡲⣉⠦⡙⢦⢡⢣⠱⡌⡱⢉⠦⡙⢎⡵⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⡏⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⡹⢆⡻⢜⠲⣉⠳⡤⢓⡌⢳⡘⢤⢋⡴⢋ ⢢⠹⡬⣑⠮⣱⠩⢖⠣⢎⡱⢌⡱⣉⠦⡙⢢⠜⡩⢞⡼⣫⢿⡿⣿⣿⣿⢿⡿⡅⢹⣽⣿⣿⣧⢹⢹⣿⣿⣿⣿⠃⣸⣿⣿⣿⣿⣿⡟⣯⢳⠣⡝⢬⡑⢎⡣⣍⠳⣌⢇⠮⣱⠘⡆⠧⡜⢣ ⢥⠛⡴⡩⢖⡥⡛⣬⢋⢖⡱⢪⢔⣡⠒⡍⢦⢉⠖⣡⠚⣥⢫⡝⣷⡹⣞⢯⢳⢇⠘⢿⣿⣿⡇⠘⠈⣿⣿⣿⣿⠀⡟⣭⢻⣝⡳⢧⡛⠴⡋⢖⡩⢆⡹⣘⠴⣉⠳⣌⢎⡳⢬⡹⢜⡣⡝⢣ ⢪⡙⢖⡹⡜⢲⡹⢤⣋⠮⡜⣣⢎⢦⡙⡜⣂⠣⢎⢄⠳⢠⢃⠞⡴⢛⡜⢮⡙⢎⠀⠘⢿⣿⠃⠀⠀⢿⣿⣿⠏⠀⡝⢬⠳⣌⢓⠣⡜⡡⠓⡬⣐⢣⠒⣥⠚⣥⠛⡬⢎⡵⢣⠞⣥⢓⡭⢣ ⢢⠝⡪⡕⢎⢧⡙⢦⢣⢳⠹⡔⣎⠶⣩⢖⣡⢋⠆⡎⠔⠣⢌⢊⠴⠩⡜⣡⠚⠌⠀⠈⢌⠃⠀⠀⠀⠈⠹⠃⠌⠀⡘⠄⠣⠌⡌⠱⡐⡡⢍⠴⣈⠦⣙⢤⠛⡴⢫⡜⣣⠞⣥⢛⡴⢋⡴⢣ ⠸⡘⡕⢮⡙⢦⡙⣎⢧⢋⠷⣩⠞⡼⣡⠞⡴⣩⠚⣌⡙⡌⢆⡡⢊⠱⡐⠤⠁⠌⠀⠀⠂⠌⠀⠀⠀⠀⠡⢁⠂⠀⠐⡈⢁⠎⠰⣁⠒⡡⢎⢢⡑⢎⠴⣊⠽⣘⢧⡚⣥⢛⡴⢫⡜⣣⢞⡱ ⢡⡙⡜⢢⡝⢦⠹⣜⢢⢏⡞⣥⢛⡴⢣⣛⠴⣃⠯⣔⠸⣐⠊⡔⢡⠂⡅⢂⠡⠈⠄⠀⠈⡐⠀⠀⠀⠀⡁⠂⠀⠀⢂⠐⠠⡈⢅⠢⡑⠒⡌⢦⡉⢎⡎⡵⡹⡜⢦⣙⢦⢫⡜⣣⢞⡱⢎⡵ ⠐⠬⡘⢥⠚⣌⠳⣌⠳⣎⢼⡒⢯⡜⣧⣙⡎⢧⡛⣤⠳⣌⠱⢌⠢⢡⠐⠄⡂⢍⢂⠁⠀⠀⠡⠀⠀⠐⠀⠀⠀⠌⡠⠌⡐⠰⡈⠔⡡⢃⡜⢢⡙⢦⡙⢶⡱⣙⢦⣙⢎⡳⢼⡱⢎⡵⢫⡔ ⠈⢆⡉⠦⡙⣌⠳⣌⠳⣜⠲⣭⠳⡜⢦⣣⡝⣣⠝⡦⢓⠬⣑⠊⡔⢡⠘⡤⢓⡌⢆⡉⠄⠀⠀⠀⠀⠈⠀⠀⠌⡐⢡⢊⡔⢡⠘⠤⡑⠬⣐⠣⡜⢦⡙⢦⠳⣍⠶⣩⢮⡱⣣⠝⡮⡜⡱⡘ ⠈⠤⠘⡠⠱⣈⠳⢌⠳⣌⠳⣬⠳⣍⠳⢦⡹⣌⢻⡘⣍⠲⣁⠞⡠⢃⠞⣴⢫⣜⠲⢌⡐⠀⠀⠀⠀⠀⠀⠌⡐⢌⢢⠣⣜⠢⣍⠢⢅⠓⡌⡱⡘⢦⡙⢎⡳⣌⢳⡱⢎⡵⢣⡛⡔⣣⠱⠡ ⠡⢂⠡⠐⠡⢂⠍⡊⠵⣈⠓⢦⠹⣌⡛⢦⠳⡌⢧⡘⢤⠓⢤⢊⢥⣋⢾⣳⢏⡮⡝⠢⢄⠁⠀⠀⠀⠀⠀⢂⠰⡈⢦⠹⣌⠷⣌⠳⡌⡜⢰⢡⡙⢢⡙⡜⠴⣩⢖⡹⢎⡜⣣⠱⡑⢆⠡⠃ ⣙⣂⣀⡡⠂⠌⠐⡁⠎⠄⢋⠔⢃⠆⡙⢂⡓⠜⢢⠉⡆⡍⢦⣍⠶⣽⣣⢟⡾⣱⡉⢇⠂⠌⠀⠀⠀⠀⠈⠄⢂⠱⢊⡳⣜⡹⡜⢧⢳⣌⢣⠒⣌⠱⡘⣌⠳⣄⠫⡔⠫⡔⡡⢃⠍⠠⢂⠁ ⠻⠿⠿⣿⣿⣷⣄⡀⢈⠀⠃⠌⡀⢊⠐⡡⠘⡌⢢⠉⡖⣩⠖⣮⣛⢶⡹⣎⢳⡱⡘⠢⢁⠂⠀⠀⠀⠀⠀⠌⢠⠉⢖⡱⢌⡳⣍⢏⠶⣘⠦⡙⠤⣃⠱⣀⠣⢄⠣⢌⠱⠠⠑⡠⢈⠐⠠⠈ ⣶⣶⣶⣶⣦⣬⢭⣝⣛⡶⣥⡂⠐⠀⠊⠄⡁⢢⠁⡓⠸⣄⠻⡰⢩⠖⡱⢎⡱⢂⠅⠃⠄⠀⠀⠀⠀⠀⠀⠀⠂⠌⠂⡜⢢⠱⡌⢎⡜⡡⢎⡱⠱⣀⠣⢄⠣⢈⠔⡈⠤⠑⡐⢀⠂⠈⠀⠁
⠈⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣇⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠀⠀⠀⠀⠰⣄⠀⠀⠢⣆⠀⠙⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠏⠁⣠⠶⢋⠐⡩⠄⠂⡅⠂⡀⠀⢀⠤⠀ ⠀⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠻⣦⡀⠀⢁⠈⠀⡁⠠⠈⠑⠦⣄⠙⡄⠀⠸⣿⣻⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⢁⡴⣚⠡⢂⠌⡔⢁⡐⠃⠐⠀⠄⠃⠀⠂⠀ ⠀⢿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡄⠀⠀⠀⠀⠀⠘⢻⡆⠀⠠⠁⢀⠐⠀⠂⠀⠀⠙⣦⠀⠀⢻⣿⣷⣿⣿⣿⠛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣾⣟⡴⠟⡐⠠⢢⠑⠀⡔⠂⠌⠀⢂⠀⠀⠀⠠⠄⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠻⣆⠁⢀⠂⠠⠈⠀⢁⡄⠀⠈⠆⠀⠘⣿⣧⡻⣯⢿⣷⡌⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⠀⡴⣻⡿⣛⢋⠡⡁⢤⠡⠁⠬⠈⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣄⠀⠀⠀⠀⠀⠀⢻⢧⡀⢀⠂⠁⠌⠀⠳⡄⠀⠀⠀⠀⢹⣿⣿⣿⣯⣿⡿⣆⢻⣯⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢀⡞⣵⡟⡰⣈⠆⡑⡐⢡⠐⡈⢀⠄⠐⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⡀⠀⠸⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠹⣦⣔⠈⠀⠂⡀⠀⠀⠀⠀⠀⢸⣿⢻⣿⣿⣿⡃⠹⣆⢹⣾⢾⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⢠⡞⡼⠟⡄⠓⡬⢰⠁⡔⠃⠀⠠⠄⠀⡀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣤⣀⠀⠱⣄⠀⢿⣿⣿⢿⣿⣦⡀⠀⠀⠀⠀⠀⢸⠘⠷⡌⢀⠈⣧⠀⠀⠀⠀⢸⣿⡆⠙⢿⣿⣆⠀⠻⣿⣷⠀⠳⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⣿⢡⣿⡼⡣⠑⡌⠣⠴⢡⠜⠀⠀⠠⠁⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠈⠻⣿⣳⣦⡹⣿⣼⣿⣿⣿⣿⠻⣿⣷⣬⣀⠀⠀⠸⡄⢀⠿⡆⠀⠘⢷⡀⠐⠀⢸⣿⣷⡌⢠⠹⣿⣷⢠⢹⣿⣷⣖⠛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⣾⣻⡿⢏⡲⢅⠣⡘⢈⠧⠁⡀⠈⠀⠁⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⡿⣟⡿⣟⡿⣳⢶⣶⢶⡶⣤⣝⣷⣭⡟⣿⣿⣿⣿⣿⣿⣶⡝⢿⣿⣿⣧⣀⠀⠁⠀⠀⢻⣄⠠⠀⢹⡄⠀⠸⣿⣿⣿⣷⡠⢿⣿⡆⡌⢿⡸⣿⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⣸⠯⣹⡏⢦⡙⢠⢃⠡⣈⠃⡀⠑⠀⠈⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠁⠀ ⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣞⣯⢿⡽⡽⢯⣞⢯⡟⣼⢣⡟⣜⢯⠻⣷⣿⣲⢻⣿⣟⣿⣿⣿⡅⠀⠙⢿⣽⣿⣷⣀⡀⠀⠀⠛⣧⡐⠘⠃⠀⠀⣿⣿⣿⣿⣷⣭⢻⡱⠨⠽⣷⣿⣿⡲⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢀⣿⢣⢻⠘⢦⡘⢡⠂⠔⡈⠰⠁⠈⠀⠄⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⡐⢠⠁⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣽⣿⣼⣻⣾⣛⠷⡛⠾⠞⠿⣴⢌⠛⣯⣿⣿⣯⣿⢯⢿⣶⣀⠀⠉⠻⢿⣿⣿⣷⣄⡀⠀⢳⡀⠀⠀⢠⢿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣿⣿⣿⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⣾⣍⠲⣋⠜⡢⢁⡎⠠⠑⢠⠇⠀⡈⠄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢠⠑⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⡟⣯⣝⡳⢬⠳⡑⠛⠿⣷⣼⣂⣉⠔⢨⡛⠥⡶⢛⣿⣿⣮⣟⡾⣜⣻⢷⣥⣀⡴⠋⠙⣹⣿⣷⣄⠀⡧⣀⠰⢤⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⣸⣷⢊⡵⣁⠚⡤⡋⠄⢃⠌⠆⢀⠐⡀⢀⠠⠀⠀⢀⠐⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡿⣿⡽⣺⠵⣯⢝⠶⡸⣜⢣⢣⢍⡍⠴⣈⠛⠛⠛⠿⠿⠿⠶⠶⢀⢹⠾⣿⣿⣷⣯⣷⣛⣾⣿⣷⣦⣾⣿⣿⣿⣿⣷⣽⣷⣮⣾⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣹⡇⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣸⣇⣿⢲⡩⢖⡨⡑⡴⢑⡈⢂⡘⡄⠠⠐⡀⢠⠂⠀⡐⠂⠀⢂⠀⠁⡀⠀⠀⠠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⡽⣛⣷⢻⣝⡻⣞⡺⣓⡳⡬⠶⠡⢊⡐⢂⠄⠤⠤⢆⣡⡀⢄⡠⠀⢡⠎⡀⠁⡌⠋⠉⢋⡿⣿⣿⣾⣽⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⣿⣟⣿⣿⣿⣟⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣿⡿⢼⢣⠝⣪⠔⡡⠇⡆⠸⢀⡐⠆⠁⡒⢀⠄⠀⠆⠠⠀⠀⠨⢀⠀⢀⠠⠀⠀⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣾⣿⣼⡷⣟⡻⢥⠳⡔⢣⡑⠌⠠⣁⠄⡐⢀⡄⠀⠀⡀⠀⠄⠁⠀⠀⢀⠀⠠⠀⠁⠠⠀⡀⠍⠛⣿⣿⣿⣻⣾⠿⠿⢶⣄⣉⠛⡻⣿⣿⣿⣿⣿⣿⣿⣿⢟⣯⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢰⡯⢟⣹⢎⢎⡱⢎⠱⠂⡭⠰⢁⠄⢩⠔⠀⡇⠠⠀⠌⢀⠐⠀⡀⢃⡐⠠⢁⠀⡀⠂⡈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣯⣽⣷⢣⠟⣬⠓⣌⢣⣜⠚⢋⠉⠉⣩⠍⠀⠀⠐⢠⡶⠖⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠄⠂⡐⠈⡹⣿⣿⠁⠀⠀⠀⠙⣷⣁⢳⣼⡿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣼⣇⡏⣾⡘⢦⡙⣆⢣⡑⡜⢡⠂⡜⣀⠃⡘⠄⢂⠐⡈⠠⢀⠂⢀⠌⢀⠨⢄⠀⢀⠃⠔⠀⠀ ⠀⠀⠀⠀⠀⠠⠴⠶⠿⠿⠿⣛⣿⣻⡳⣮⢏⡿⣼⠻⡍⣯⡴⢊⠠⡤⡿⠃⠀⠠⢠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣄⣠⣠⣤⣀⣠⠐⡜⣿⣷⣀⣀⣀⣴⣿⣿⣿⣿⡿⠋⠉⠈⣭⣽⣿⣿⣿⣿⣿⣿⡇⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣿⢳⡜⢧⣚⡱⢪⡕⢪⡐⢩⢂⡃⢦⠁⠒⡜⢀⠂⠆⡀⠣⠰⠀⢌⠐⡀⢸⠀⠌⢂⠌⡀⠍⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣟⣧⢷⣻⣜⡯⣞⣥⣳⣾⠏⡰⢡⡖⣼⠡⢠⣱⡾⠋⠀⠀⠀⠀⠀⣠⠴⠖⠛⠉⠉⠀⠀⠀⢀⣠⢍⣠⡿⠛⠉⠍⣛⣿⣿⣿⣿⡼⠏⠱⠀⠀⢠⣾⣿⡿⢿⡛⣿⢿⣿⣽⠃⠃⣀⣠⣤⡾⠁⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⣿⢣⣟⣱⢣⡙⢦⡝⡸⡔⢩⠆⠒⡌⢎⡐⠧⠈⡜⠠⢡⢈⡓⠨⢠⠁⡐⠨⡜⢂⡉⠐⠄⡈⠄ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡽⣞⣾⣟⡷⣞⣷⣿⡿⣏⢇⣺⢡⡛⢤⡟⣄⡿⠃⡀⠀⠄⣀⣤⠞⠋⠁⠀⢀⣠⡄⣶⣒⣾⣯⣽⡾⠛⠉⠐⠀⣨⡼⣿⣿⣿⣿⣦⣤⣀⠃⢀⣠⣾⣿⡟⢤⡀⢿⣿⣿⣿⢏⣾⢻⡻⣽⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⣯⢗⣮⢣⡗⡹⢆⡟⡰⢫⠔⡩⢜⠘⡤⢸⠠⡃⣌⠑⠤⡂⡝⡐⢆⠱⢀⢃⠣⡎⢠⠉⢆⠰⢈ ⠀⠀⠀⠀⠀⣴⣿⣿⢿⣽⣻⣿⡿⣽⢿⣿⣿⢯⣽⣝⡾⣑⢣⣗⣼⣷⡿⠡⢤⠑⣈⡴⠋⠁⢀⡤⣲⣽⣾⣿⢸⣿⣿⣿⡟⠁⠄⢀⠂⢈⡐⢈⠛⣹⣿⣿⣯⣿⣿⣿⣶⣿⣿⣿⣿⠀⠈⢿⡌⣿⣿⣿⡾⢧⣷⠟⢃⠀⠀⠀⠀⣀⣤⠖⠀⠀⢠⡀⢸⡄⡿⣞⡼⢳⡎⣝⢎⡳⡡⢏⢮⢱⠊⡵⡘⡅⢖⢡⠢⣉⠖⡡⠰⣍⠂⢎⠡⡘⢆⠓⠤⡉⢆⠸⡀ ⠀⠀⠀⣠⣾⣿⣿⣻⣯⠟⢻⣿⣻⣽⣿⣿⢯⣿⡿⣜⢶⣩⡿⣼⣿⣿⣏⡒⢬⣼⠏⠁⣠⡴⣫⣾⣿⣻⣯⡇⢸⣿⣿⣿⠌⠀⠐⡀⠐⠀⣀⣦⣱⣬⠟⣻⣿⣿⣯⣿⣿⣿⣿⣿⣿⡄⠀⣾⠃⣿⣿⣧⣿⠷⣟⢾⣶⡶⣶⠿⣿⠟⠁⠀⠀⠀⠈⣇⠈⣧⣿⢧⡟⣧⢻⡜⣎⠷⣅⠏⢦⣋⡜⢦⡹⢔⡩⢂⠧⣘⠰⣡⠃⢧⡘⠌⣧⠑⡎⡘⡱⢌⢂⢳⢀ ⠀⢀⣴⣿⡿⠗⠋⠉⠀⠀⣿⣿⣽⡿⣿⡿⣿⣿⡽⣞⣳⣿⣹⣽⡟⣿⣿⣿⣿⡏⢀⡴⣁⣤⣿⢶⢇⠟⠛⡏⣿⠛⣿⠏⠀⠀⠀⣤⡤⠞⠹⠛⠉⢀⣴⣿⡿⠿⣛⣭⣽⢿⣿⣿⣿⣷⡴⠛⢠⣿⣻⣿⣛⢾⡹⣞⠶⣽⣣⡿⠋⠀⠀⠀⠀⠀⠀⢹⡄⢿⣟⡮⣽⢺⡭⢷⣊⠷⣌⡻⡌⣷⡘⢦⢹⡆⣱⠫⣔⠣⡝⣤⢋⠴⣉⠞⡤⢛⡤⣑⠸⡌⢮⡘⢆ ⠀⠉⠉⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⠁⣿⣿⣿⣿⣻⣾⣟⣶⣿⣿⡉⢿⡜⣿⣿⡇⡀⠀⣼⡏⠙⣇⡀⠐⢄⡀⠑⣶⣧⠇⠀⢠⠖⠋⠀⠀⠀⠀⠀⠊⠉⠀⠐⠾⠿⢿⠿⠿⠛⣱⠿⢛⣿⣶⣭⣶⡿⠧⠽⣶⣿⣼⣿⡋⠁⠀⠀⣀⣠⡴⠋⠀⠀⠸⣷⡸⣯⢷⢯⣳⣝⢯⣻⡼⣡⠳⣍⢶⡙⣎⠖⣧⠱⡳⡌⢷⣘⢆⢫⡞⢡⠞⡴⢣⡜⣂⠳⡌⢆⡱⢎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠃⠀⡿⣿⣿⣿⣿⣳⣾⣿⣿⡷⣘⡜⣃⠦⡹⢷⣅⠠⣿⡄⠈⠉⠙⠓⣶⣾⡇⠋⠁⣤⡜⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠥⠤⠖⠉⠀⠈⠁⠀⠀⠀⢀⣤⡶⣻⡿⣏⢿⣛⠾⣿⢻⡟⣯⠟⠀⠀⠀⠀⠀⣿⣧⣻⡿⣟⣶⣫⡗⣧⢽⣧⢛⡬⣏⢷⡘⡯⣜⢧⢳⡙⡼⡚⢎⡖⡸⣇⢮⡱⢣⢎⡍⡳⣜⢪⡔⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠙⢧⢺⣿⣿⣿⣿⣿⡱⢎⠶⣉⠞⡥⢋⠟⣧⣿⣿⣦⠤⠖⠋⠉⢈⣄⠰⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣦⡀⠒⠈⠀⠠⠤⣴⢞⣯⣪⣾⢟⣾⡹⣮⣽⢟⣼⡳⠟⠁⠀⠀⠀⠀⠀⠀⢸⣿⡿⣿⣿⣾⣵⣻⡽⣞⡼⣏⡾⣽⢮⣽⠳⣎⢧⢧⡹⢥⠟⣬⠳⡵⣌⢮⡱⢏⡜⡼⣑⢎⠳⣜⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣟⠀⠀⠀⠀⠀⢹⢿⣟⢿⣿⣇⠳⡌⢓⠬⢜⢢⣭⡾⠟⢛⠛⡁⠰⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠄⠈⢛⠿⠿⠶⢦⣉⠓⠦⠤⣶⣯⣷⣿⣿⣿⣞⡿⣶⣿⣷⡿⠟⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣽⣳⣟⣾⢳⣟⣳⡽⢯⡞⣭⣷⢎⡿⣱⣎⠳⣝⠮⣝⡶⡹⣜⢣⣎⠵⣋⢾⡱⡍⢾⣙⠦⣋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠎⠳⠜⢉⢒⣼⠿⠋⠀⢄⢂⠲⢀⣡⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠀⠂⢉⣀⡤⠤⠔⠒⠦⣥⣄⣀⣀⣤⣤⣴⣾⡷⣯⣽⢳⣏⡟⡿⣽⠶⣤⢤⣤⡴⠚⠁⠀⠀⠀⠀⠘⣿⣾⡽⣞⣿⣻⣞⣯⢿⣻⢾⣱⡞⣯⢳⡧⢯⡻⣜⡻⢶⣹⡓⢮⣓⣎⡟⡭⣎⠷⣝⡲⣍⡻⣜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠋⢄⠂⠁⠂⠐⠈⣀⣀⣀⡈⠀⣠⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⢀⠀⠀⣀⡴⠶⢟⡉⠀⠀⠤⠶⢒⣖⣆⣒⣄⣶⣾⣿⣿⣿⣽⣳⢯⡿⣼⣝⡳⣭⢻⣱⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣻⣞⣷⣯⢿⣯⣽⣻⢧⣟⡼⣏⢿⡳⢯⡽⣹⢧⣳⢻⢧⣛⢦⣝⡳⣭⢻⡜⣷⠮⡵⣎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⢁⠀⠒⠀⢈⣠⠖⠛⠉⠉⠉⠉⠉⠻⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠈⢀⠐⠈⠁⠐⠲⠤⢭⣓⢦⣤⡠⣂⣲⠿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⣝⣷⡺⣕⣻⣯⣅⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢹⣿⣷⣻⢾⡽⣿⣷⣻⣞⣯⢟⣾⡭⣷⣛⢷⣫⡗⡿⣼⢫⣞⡽⣺⣜⡳⡽⣧⡻⣜⣟⡳⣮ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣏⣂⡄⠈⣀⡦⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⣠⡴⠒⠒⠒⠒⠀⠄⠂⡈⢈⠀⡉⡀⠲⣄⡀⢠⡈⠁⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣭⣭⣉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠈⣿⣷⣟⣯⢿⣽⢾⣷⣟⣾⣻⣞⣽⣳⢯⡷⣷⣻⢽⣹⢷⣮⣝⡳⡾⣝⣳⡽⣳⣝⣮⢷⡹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⡀⠈⡁⠘⢂⠣⠔⣄⢃⡪⢻⣮⣿⣧⣤⣥⣼⣻⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣹⢾⣍⢯⡛⡿⢦⠀⠀⠀⠀⠀⠀⠀⠀⢙⢆⠘⣯⣟⣾⣯⣟⣯⢿⣿⣾⣳⢿⡾⣽⢯⣟⡷⣯⣿⣹⢾⡽⣾⡵⣻⣝⣧⢻⣵⣻⣞⣧⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠄⠒⡠⢄⣡⣦⣴⣬⣭⣿⣾⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡽⣻⣯⡙⠛⠳⠀⠀⠀⠀⠀⠀⠀⠈⢏⠳⣽⣾⣟⣾⢯⡿⣯⢿⣯⣟⣯⣿⡽⣿⢾⣽⣻⣞⣿⢯⣷⢯⣟⣷⢯⣞⡷⣷⣳⢮⣟⡾ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⡀⠢⠄⢣⣘⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⠟⠻⣿⣿⡳⣿⣮⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣦⠈⢿⣾⢯⡿⣿⣻⣯⣿⣟⣾⢷⡿⣯⣟⣯⣷⣿⣞⣯⣟⡿⣾⣽⣻⣾⣽⣳⣟⡿⢾⡽ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣰⠞⠀⠀⠠⢀⠁⡰⢀⣾⣿⣟⠿⣻⣿⣿⣿⣿⣿⡟⢇⣯⣿⣿⣿⣿⡿⣿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢛⣿⣷⡱⣠⣼⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠙⣯⣿⡽⣿⣽⣾⢿⣻⣯⣿⢯⣿⢯⡷⣯⢿⣯⡿⣿⣷⣳⡿⣞⡷⣿⣼⢻⣏⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⡃⠀⠀⠀⠀⡀⠀⠀⠠⢀⠐⢀⠂⣤⡝⠃⢀⠀⠌⡰⢀⣪⣾⢟⣯⢫⡽⣻⣷⣿⣿⣿⣿⢏⣼⣽⠿⠟⡟⣻⣿⣷⣿⡿⡛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⣈⣽⣷⢀⠬⣍⢿⣿⣯⣟⢾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡈⢳⣿⣽⣻⣟⣿⣻⣽⣿⣿⣽⣿⣻⣿⣻⣾⣽⡷⣟⣿⣟⣿⣽⣟⣯⣿⡽⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⡛⢳⣌⡢⢉⣐⠠⣡⣈⣐⣤⡬⠶⠛⠁⠠⠐⠤⢈⢰⡴⣾⢋⡞⣭⢲⣋⡷⡭⣿⣿⣿⣿⣻⢞⣋⣥⣶⢾⣻⣿⣿⣿⣿⣗⣛⣤⣤⣴⣦⣶⣶⣶⣶⣶⣦⣤⣜⣞⣧⣢⡙⣎⢿⣿⣾⣻⢾⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⣝⣷⣿⣻⣟⣿⣷⣯⣿⣻⣷⣿⣳⣿⣻⣷⢿⣿⣷⣿⣻⣾⣯⣷⣟⣿⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⠿⠿⣟⢋⡉⣉⠡⣀⠰⢀⠄⡡⠌⢡⣢⠾⢋⣼⡯⠞⣿⢎⡳⣥⢻⡵⣫⣾⡿⣟⣼⣾⡿⣯⣯⣷⡿⢿⠛⠛⠛⠛⠛⠛⢻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣛⣻⣷⣭⣛⣾⣿⣿⣿⣾⢷⢳⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣟⡿⣿⣽⣻⣿⣾⣿⣟⣿⣽⡿⣿⣻⣷⣿⣿⣳⣿⣽⡿⣷⣿⣻⢿⣾⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⣄⡃⠤⣁⢊⠔⣡⡼⠟⠁⠀⠉⠁⠀⠀⣿⡚⣔⢣⣷⣽⣿⡿⠽⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣾⡤⠦⢤⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣼⣻⣿⣿⣿⣿⠀⣿⡲⣄⠀⠀⠀⠀⠀⠀⠐⣄⠈⠹⢿⣵⣯⢿⣽⣾⣯⡿⣿⣯⣿⡿⣿⣿⣳⣿⣟⣿⣯⣿⣿⣿⢿⣿⣯⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠠⣺⣷⠷⠛⠋⢁⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣿⣿⣿⣏⣍⣳⣦⡁⠋⠀⠠⡤⢤⡀⠉⠉⠛⠻⢿⣿⣿⣿⣷⣿⣿⣿⣿⣤⣿⣿⣮⣿⣦⡀⠀⠀⠀⠀⠈⠳⢄⡈⠙⢯⣿⣞⡷⣿⢿⣯⣟⡿⣿⣯⣿⢿⣿⣻⣿⣻⣯⣷⣿⣿⣻⣽⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠶⢋⣥⠚⠀⠀⣠⣾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⣛⡛⠋⠛⢿⣿⣿⣾⣷⣿⣦⡀⡀⠿⢼⠀⠀⠀⠐⠂⡄⡘⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠙⢶⣦⣝⣻⣽⣯⢿⣽⣻⣿⣿⣯⣿⣿⣿⣟⣿⣿⣻⣯⣷⣿⣿⡿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠟⢁⡼⠊⠀⠀⠀⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠙⢾⣍⠉⠉⡂⠀⠙⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣀⠔⢣⡜⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣽⣟⣿⣦⢦⡀⠀⠀⠀⠀⠈⠛⠿⣿⡼⣻⣞⣷⣻⣞⣯⣷⡿⣯⣿⢿⡿⣿⣿⣿⡿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠉⣤⠟⠀⠀⠀⠀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠈⠛⢦⡀⢀⢠⡜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⢿⣶⡜⣥⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⡙⣷⡀⠀⠀⠀⠀⠀⠈⠙⠳⢿⣮⣻⡽⣻⢾⣟⣿⣽⡿⣟⣿⣽⣾⣿⣿⡿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡿⠛⣿⠃⠀⠀⠀⠀⣸⣥⣤⣤⣦⣤⣄⡀⠀⠀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠱⢽⣦⠀⠹⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣞⣿⢧⣟⡿⣿⡟⠿⣿⡽⢿⡟⣿⣿⣿⣿⣷⣻⣿⣌⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⡉⠛⠷⣯⣟⡾⣽⣞⡿⣟⣯⣿⣽⡷⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡏⠀⢰⡿⠀⠀⢀⣤⣾⣿⡿⠟⠛⠛⠛⠳⢿⡳⣼⠋⠀⠀⠀⠀⠀⠀⡀⠐⡠⠐⡄⢻⣷⡀⢻⣼⣟⡋⡉⣈⢽⣿⣿⡿⠟⣶⢿⣿⣿⣿⣾⣟⣾⣻⡟⠀⠀⢸⡿⣾⡾⣯⣉⠙⠻⣿⣿⣿⣿⣞⡔⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⢄⣉⠛⠷⢯⣿⣽⣻⢷⣯⡿⣟⣾⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣻⠀⠀⣿⠃⢀⢠⣾⣿⠟⣡⣴⣿⠿⠟⠛⠻⢦⡙⣿⣆⠀⠀⠀⡀⣀⢂⠠⣑⠰⢣⢜⠢⣽⣷⡀⢻⣿⣟⡶⣵⣿⡿⠿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣾⣟⠀⠀⠀⢸⣿⢿⠀⢈⠹⣷⡀⠌⢿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢶⣮⡷⢯⡿⣾⣽⣟⡿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣷⣴⣻⠃⢠⢀⣿⣿⠏⣴⣿⡟⢁⣴⡴⠚⠛⢷⠇⠸⣾⣦⣤⡐⡐⠤⣌⠒⣌⢣⡍⣎⡳⣼⡹⣷⡘⣿⣿⣿⣿⣿⡄⠀⡄⠀⣿⣿⡏⠀⢰⡛⠻⣿⣿⣦⠀⠀⢸⡿⡏⠀⠄⠠⠈⢿⡆⠈⢿⣿⣟⡃⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣛⡾⣽⣻⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣽⠖⡤⢊⠄⡀⢢⢸⣿⡟⢠⣿⣿⠁⣾⡟⠀⠀⠀⣸⡇⠀⢹⡇⢠⠙⢷⡲⢌⡳⣌⠷⣸⡜⡵⣣⢿⣱⣿⣦⢹⣿⣿⣿⡇⠉⠙⡓⣿⣛⡇⣀⡟⡄⠄⢻⣿⣿⡄⠰⢈⣿⣷⠀⠌⠐⠠⠈⣿⡀⠘⣿⣿⣯⢬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣞⣧⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣟⣾⠹⣔⢃⠎⡄⢩⠸⣿⣿⠈⣿⣿⣆⠸⠿⣟⠒⠊⡉⠁⢀⣾⠛⡤⣋⢾⡷⣍⢶⣙⣾⣥⣿⣾⣵⣿⣿⣿⣿⢸⣿⣿⣿⣟⣰⢡⡚⣻⣿⣿⣶⣿⡙⠂⣸⣿⣿⣷⢑⡨⢻⣿⣆⠐⢈⠀⡁⢻⡇⠀⢻⣿⣿⣒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢤⡀⠀⠈⠛⢵ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡣⢟⡌⣮⣶⡌⡙⣆⠹⠿⣦⠈⠷⣿⣷⣤⣤⠴⠚⠀⣨⡿⡡⢏⡳⢥⢿⣯⣽⣾⢿⣻⡽⣯⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣾⣿⡿⣭⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣙⣽⣿⣿⣦⡀⢂⠀⣿⠇⠀⣸⣿⡟⢒⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣔⢦ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⡴⣿⢡⣿⡿⡜⣧⣏⣿⣿⣿⣿⣿⣿⡿⠟⢋⣐⡏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣶⡄⠀⠄⠹⣿⣿⣿⣿⣿⣿⣿⣞⣯⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⡀⠅⣜⣿⣱⣿⣮⣿⣿⣿⣿⣿⣿⣿⡿⢉⠄⣊⠼⣱⢂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡿⡷⠘⠒⠀⣿⣿⣿⣿⣿⣿⣿⢧⣿⣿⣿⠀⢀⢀⣼⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣮⣿⣿⣿⣿⣿⣿⠟⡀⠀⠀⠀⡆⠠⠈⢺⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⡰⢌⠲⡅⣞⡧⠜⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⠂⣱⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣻⢿⣿⣿⣿⣿⣿⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣟⠀⢿⣿⣿⣿⡏⠀⠄⠀⢁⠀⡇⣀⣳⣿⡿⠛⢿⣿⣿⣿⠿⢛⡿⠛⣄⠲⣡⠳⣘⡼⡝⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣟⣯⣷⡏⣼⣿⣿⣿⣿⣿⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⢎⣧⡞⠡⢁⠃⣿⠈⢀⠡⠂⣀⣷⣿⣿⣿⡅⠆⣼⠟⢋⠠⢖⡾⢀⠎⡹⣆⢇⢣⣍⢋⢾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡿⣿⠏⣸⣿⣿⣿⣿⣿⡟⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⣮⣹⢣⠡⢂⣼⠓⡀⠮⠠⣱⣿⣿⡏⠙⣿⡿⠋⠁⣄⠂⢴⠟⢀⠚⢄⠓⣿⢊⠶⡄⣮⣟⣿⣿⣿⣿⣿⣿⣿⡿⣯⡿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣽⡿⢰⣿⣿⣿⣿⣿⢿⡿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡻⡴⣿⢂⣵⣮⡏⠆⡅⢇⢲⣿⣿⣿⡥⠀⣽⠃⢂⡑⣂⣼⠋⠀⡜⠢⣄⣡⣾⣷⣟⠸⣼⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⢿⣾⡟⣰⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡵⣳⣿⢸⣧⣾⢡⢋⡜⢢⣿⣿⣿⣿⠴⢠⡟⠌⢦⠐⣴⠏⣈⡹⢌⢳⣾⣿⡿⢯⢃⣞⣷⣿⣿⢿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣻⢯⠏⣼⣿⣿⣿⣿⣿⣿⠇⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⡼⣳⣿⢻⡗⣿⢆⠧⡜⣳⣿⣿⣿⣟⠢⣽⢣⡙⣢⣿⢋⢜⣢⡕⣎⣿⡏⣿⡂⢀⣾⣿⣿⣟⡿⣼⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⢷⣿⢇⣼⣿⣿⣿⣿⣿⣿⣿⢯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢤⣶⠀⠀⠀⠀⠀⢸⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡏⠘⢧⢸⢦⣀⠀⢸⠀⠈⠓⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠈⠳⣷⣯⡑⢺⣧⠀⠀⠀⠉⠑⠦⡄⠀⠀⠀⠀⠀⠀⠀⣀⠴⠒⠉⠉⠉⠉⠉⠉⠑⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠧⣄⣴⣋⠑⠀⠀⢀⣼⣓⡢⢤⣀⠀⢀⣿⣾⡆⠀⠀⠀⢠⡞⠁⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⢽⡏⠓⠦⠴⠋⠿⣩⠽⢿⠊⠑⢾⠉⡟⠁⠀⠀⢰⡏⠀⠀⢀⡶⠉⠁⠀⠀⠀⢈⣿⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⢿⣧⣘⢇⠀⠀⢣⢤⣤⣤⡤⡾⠀⠀⠘⡀⢹⠀⠀⠀⡟⠀⠀⢰⡏⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠃⠸⣷⠶⠞⠉⠋⠁⢰⣧⠴⣇⣸⠃⣸⠃⠀⢠⡇⠀⠀⠘⢇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢺⠀⠀⠈⠳⢤⣀⡀⠀⠀⠀⣴⠋⠉⡵⠃⠀⠀⣾⠀⠀⠀⠀⠀⠙⠲⢤⣄⣀⠀⠀⠀⠀⠀⣀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡄⠀⣀⡤⠀⠀⢉⣇⡀⠀⣧⠴⠊⠀⠀⠀⠀⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠿⢥⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠟⠋⠀⣇⠀⢠⠋⠉⠉⠓⠺⠦⣀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⠞⢻⠀⠀⠀⠀⠀⡀⠈⠻⣦⡀⠀⠀⠀⠈⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⡇⠀⠀⡞⡟⣆⠀⠀⠀⠀⠀⠈⠙⠒⠢⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⣧⠀⠀⠁⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢧⠀⠀⠀⢹⡄⠀⠀⠀⠈⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠧⢼⣇⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠈⠙⣲⠶⠚⠋⠉⠉⠉⠙⠳⢤⡚⠁⠀⠀⠀⢀⡰⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣀⣠⡤⠖⢯⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡀⠀⠈⣧⣀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⡀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠸⡌⠑⠶⠬⣶⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢹⡇⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⢳⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣷⣾⠃⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠘⡇⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⣳⣱⣽⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⣧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣻⠟⠉⠃⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢯⠇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⣾⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⣇⡇⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⡇⠀⠀⠀⠀⠀⠀⣠⠞⠉⣇⣀⣿⠁⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⠇⠀⠀⠀⠀⢀⡜⠁⠀⠀⢸⡌⡿⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢫⠏⠀⠀⠀⢀⣰⠟⠀⠀⠀⠀⢸⡇⡇⠀⠀⠀⣀⣴⠇⠀⠀⡆⠀⠀⠤⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠃⠀⠀⠀⣸⡏⠀⠀⢀⢀⠀⢸⣷⡧⠀⠈⠉⠙⣇⠀⠀⠀⠳⢤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⡿⠀⠀⠊⠁⠈⣆⠈⠘⣧⠀⠀⠀⠀⠈⢳⡀⠀⠀⢠⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡏⠀⠀⠀⠀⠀⢀⣇⣀⠀⢀⠀⠀⠿⡄⠀⢹⠀⠀⠀⠀⠀⠀⠹⡗⠲⡞⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⣾⣽⠀⣀⠘⢢⡀⠀⠑⠦⠈⣇⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⢀⣼⣋⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⣻⡀⠀⠀⠀⠀⠀⢸⡦⠤⠤⠤⠤⠤⠤⠤
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