Disappointed ASCII Art

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⠀⠀⠀⠀⠀⠀⣠⡼⠟⠋⠉⠉⠁⠀⠀⠀⠀⠀⠉⠉⠙⠻⢤⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀⠀ ⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀ ⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀ ⣾⠃⠀⠀⠀⢸⠿⠿⠿⠿⠿⠿⠿⠿⠀⠀⠾⠿⠿⠿⠿⠿⠿⠿⠷⠀⠀⠀⠈⢟ ⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠰ ⡇⠀⠀⠀⢠⣤⣤⣤⣀⣀⣀⣀⣤⣤⣄⣠⣤⣤⣄⣀⣀⣀⣀⣤⣼⡆⠀⠀⠀⠀ ⡇⠀⠀⠀⠘⡆⠀⠈⠿⢿⡿⠋⠀⢀⡎⢹⡄⠀⠘⠿⣿⠿⠃⠀⢸⠇⠀⠀⠀⠀ ⣇⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⡠⠊⠀⠀⠑⢄⡀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀ ⣷⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⢈ ⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸ ⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⣄⣄⣠⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁ ⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⣀⠎⠀⠀ ⠀⠀⠀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠜⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠙⠻⠖⣄⣄⣀⡀⠀⠀⠀⠀⠀⣀⢠⣠⣶⢟⡛⡃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣽⢿⣟⣿⣻⣟⣿⣻⣟⣧⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣾⢿⣽⣞⣯⣿⢾⣯⡷⣟⣷⣯⢿⣽⣾⣳⣿⣳⣦⡀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⣻⢾⣯⡷⣿⣽⢾⣟⣾⣽⣟⡷⣯⣿⣳⣯⣷⣟⡷⣯⡿⣦⡀⠀⠀ ⠀⢠⣾⣟⣾⣻⣯⡷⣿⣻⢾⡿⣽⣾⣳⣟⣿⣽⢾⣯⡷⣟⣾⢿⣽⣻⣽⢷⡄⠀ ⢠⣿⣳⡿⣽⣳⣯⢿⡷⣟⣯⣿⣻⢾⣽⣻⢾⡽⣟⣾⣽⢿⡽⣯⡿⣽⣾⣻⡽⡄ ⣟⡷⣯⢿⣽⣳⢯⡿⣽⢯⡷⣯⣟⢿⡾⣽⣯⢿⣽⣳⢯⡿⣽⣳⣟⡷⣯⢷⣻⢷ ⣻⣿⠿⠿⠶⣿⢿⣷⣯⣿⣼⣷⣾⣯⣾⣷⣿⢻⣯⣏⣟⣞⣳⣽⣎⣟⣾⣹⣭⣏ ⣳⢻⢷⣄⣀⠀⠀⠀⠙⠀⠀⠀⠀⣨⣾⢏⡷⡻⢽⣯⡉⠉⠉⠉⠉⠙⠟⢉⣽⠿ ⣧⢛⠮⣝⢻⡻⢷⣶⣶⣶⣶⢾⣿⢿⠟⣮⠱⣏⢧⡛⢿⣿⣶⣶⣶⡶⣿⡟⣫⢽ ⢧⣋⠞⡌⢧⡙⢦⡙⢶⢓⡫⠝⡬⢣⠛⣔⠫⡜⢦⡙⡎⢼⣉⠮⢭⡙⡭⢱⢃⢾ ⠘⣦⠙⡘⢆⡙⢢⡙⢢⠣⠜⡱⢌⠣⡙⢤⠓⡜⢢⠱⣌⠣⢜⡘⠦⠱⢌⠣⢚⠃ ⠀⠘⢧⡉⢆⡘⠤⡈⢅⢊⠱⡐⢌⠱⡈⢆⠱⡈⢅⠒⡄⢃⠆⡘⠰⣉⠢⣩⠋⠀ ⠀⠀⠈⠣⡂⠜⡠⠑⡌⢢⠑⡌⢢⠑⡌⢢⠑⡌⢢⠑⡌⢢⠘⡄⠣⢄⠗⠁⠀⠀ ⠀⠀⠀⠀⠈⠺⢄⢣⠘⡄⢃⠜⡠⢃⠜⡠⢃⣼⣤⡾⠶⠷⢞⣠⠗⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⡒⠼⢄⣊⣔⠡⢊⠔⡉⣥⣦⡐⠧⢖⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⣴⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⣿⠟⠉⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠆⠀⠀⠀⠀⠀⢰⣷⠀⢸⣧⡀⠀⠀⠀⠀⠀⠻⢿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠙⠻⣿⣧⡀⠀⠀⠀ ⠀⠀⣠⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⢼⠟⠀⠀⠻⠇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⠗⠀⠀⠀⠀⠀⠀⠙⢿⣿⣄⠀⠀ ⠀⣰⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣆⠀ ⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡄ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡆⠀⠀⣾⡿⠀⠀⣾⣷⠀⠸⣿⡆⠀⢸⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡿⠃⠀⠸⣿⡇⠀⣰⣿⣿⡀⣠⣿⡇⠀⠘⠿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⠿⠛⠿⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟ ⠘⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃ ⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡏⠀ ⠀⠀⠙⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⠀ ⠀⠀⠀⠈⠻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠛⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠐⠀⠈⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢡⣤⣶⣶⣦⢠⣶⣷⣾⠀⢃⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⣯⠀⠛⠟⡿⠋⠀⢙⠛⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠸⡅⠈⠀⡰⠳⢶⠖⠰⠀⠀⣏⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠰⢷⣶⣿⠹⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣷⣾⣤⣍⣀⣄⣤⢾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣻⠛⠻⠟⠋⣼⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⢤⡖⣪⢕⡮⣝⣿⣿⣿⣿⣿⣿⣿⣶⡌⣸⣿⣿⣿⣓⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠼⣦⣝⢿⣽⢺⡵⣫⣞⡿⣹⠽⣿⣿⣿⣿⣿⣿⣰⣿⣷⣿⣿⣯⣟⢦⡘⣄⣃⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡄⢪⣴⢪⣷⣾⣯⣻⣿⠿⣽⣷⠻⢼⠷⡻⠓⠛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣽⣲⣭⣷⣸⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡄⢲⣶⢸⣆⡹⢷⣫⣿⣿⣹⣾⣿⣷⣄⢩⣽⢢⡟⣿⣻⢽⣾⣶⡟⢶⣷⣾⣿⣿⣿⡾⣽⣾⣷⣿⣿⣧⡧⡅⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⢘⢦⡰⣿⣎⡹⣏⡟⣿⣶⣿⣧⡽⣿⣿⡿⠿⠿⡿⢺⠿⢙⣳⠏⠿⢿⢿⢇⢛⣮⣿⣿⣿⣿⣿⣽⡷⣿⣿⡿⢯⣽⣷⣯⢩⣴⡢⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⣖⢮⣿⡾⣻⣴⠻⢿⣎⡻⣿⣽⢿⣯⣹⣿⡷⠦⠈⠀⠀⢘⠀⠀⡀⣀⢄⡐⠠⠬⠨⠷⠠⠀⠹⠝⡛⠓⠛⠟⣿⣿⣿⡿⢷⣼⣿⣎⣁⡄⡑⠄⠀⠀⠀ ⢠⣎⣤⣭⡳⢫⢻⣿⣿⣿⣾⣛⣶⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣷⣯⣿⣿⣿⢽⢐⣶⢶⡼⣿⣿⣿⣿⣶⣿⣿⣿⡿⣽⣾⢿⡿⣿⡿⣭⠇⢂⡆⡀⠀ ⣩⣝⣛⣒⣻⣿⣷⣮⣟⣷⣿⡟⠟⠉⠀⢹⣿⣿⣿⣿⢭⠤⠍⣀⢉⡊⢈⢢⠀⠀⢂⠐⢀⠶⠿⠘⠈⠩⡉⠻⠟⠿⢟⡏⠉⠻⣿⣿⣿⣏⣿⣷⣿⣿⠿⠶⣾⡄ ⢿⣿⢯⣷⢾⣶⣿⣿⣿⣯⡁⠀⠀⠀⠀⠐⣻⣿⣿⣿⣷⣿⣶⣷⣞⣷⣦⣾⣽⣾⣶⣴⠾⣶⢾⠶⡷⢼⣿⣿⣶⣶⣶⡆⠀⠀⠈⢻⣿⣿⡿⣿⡿⣯⣽⣿⣵⠀ ⠀⠘⢿⣿⢿⣯⣩⣽⣿⣧⡿⣄⠀⠀⠀⠀⠘⣿⣿⣯⣝⢝⠚⠍⢙⠁⠏⣎⠛⠙⢓⠑⠸⢘⣻⣛⠿⢧⢿⣻⣿⡿⣿⣿⠀⢀⣀⣼⢿⣽⡛⢿⡿⣮⣽⣷⠏⠀ ⠀⠀⠀⠙⢾⣽⡿⠿⢿⣩⣿⣟⣙⠄⠀⠀⠀⢽⣿⣿⣿⣴⣿⣾⣾⣿⣺⢾⣿⣿⣷⣎⠪⣉⢰⡀⣤⢷⢾⣶⣴⣦⣤⣴⠾⣿⣿⣿⣮⣭⣵⣮⣽⡿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⢿⣿⣾⣿⣿⣿⣟⢿⣤⠀⠀⠈⣿⣿⡯⠍⠩⠉⡩⣉⢉⢩⠩⠩⠙⠉⠁⣓⣚⣃⠗⠖⠺⢿⢿⣿⣿⣿⣿⣯⣾⢷⣤⢿⣯⠿⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⣏⣿⣾⣷⣀⡀⣸⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡏⡝⣍⣿⡈⣇⢰⣠⣦⣶⣦⣦⣤⣼⡿⣇⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣽⣷⣍⡿⠋⠀⠉⠈⠘⣿⣭⠭⠉⠉⣙⠧⣙⢉⡛⢋⠃⠉⠊⠹⠒⠙⡻⠿⠿⡿⣿⣿⣿⣿⣷⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠹⣄⠒⠠⠤⠄⠂⣿⣿⣿⣯⣶⣾⣷⣾⣿⣾⣔⣚⢴⠄⡏⣭⠙⠐⢀⢬⡴⡣⢨⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣤⠀⣼⣿⣯⡍⠍⠀⡊⡈⣌⠀⣟⢁⠏⠠⠐⠸⠛⠿⣉⣩⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⡿⣿⡿⢿⣿⡽⣿⣿⡎⣎⣿⡍⡕⣚⡉⣛⣉⣹⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣭⣂⣶⡰⢶⣔⢶⣀⣦⡆⡄⣠⣈⢻⢻⣻⣿⣱⣼⣺⣵⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠕⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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⠀⠀⢀⡶⠇⠀⠀⠀⣀⡄⠀⠀⠀⡄⣤⠀⠀⠀⢤⣄⡀⠀⠀⠰⢦⡀⠀⠀ ⠀⣰⡟⠁⠀⠀⠀⠛⠉⠀⠀⠀⠈⠁⠈⠁⠀⠀⠀⠈⠉⠁⠀⠀⠈⢻⣆⠀ ⢠⡿⠀⠀⠀⠀⠀⢀⣴⣦⠀⢠⡄⢠⡄⢠⠀⣴⣶⡄⠀⠀⠀⠀⠀⠀⢻⡄ ⢸⣇⠀⠀⠀⠀⠀⠀⠛⠛⠀⠸⣧⡾⢧⠾⠁⠘⠛⠁⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀ ⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀ ⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀
⣯⣜⢣⠞⡴⣡⠒⡄⠢⠐⠀⠀⠀⠀⠀⠀⠄⠂⠐⢂⠆⡱⡘⢆⡳⢜⣣⣷⣾⣿ ⣿⣟⡷⣏⡳⢥⡓⡘⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠌⢲⣉⠞⣬⣿⣿⣿⣿⣿ ⣿⣿⣖⣿⣗⠠⢃⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠘⠠⠜⢸⣿⣿⣿⣿⣿⣿ ⡿⠿⢋⠉⠡⠐⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⢊⠈⠉⠛⠻⠿⢿⣿ ⡐⢆⠣⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠆⡱⠄⡤ ⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣗⠆⠀⠀⠀⠀ ⠀⠀⡜⡱⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⢻⡅⠂⠘⠀ ⠀⠐⢠⡑⠈⠦⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠭⢀⠀⠀ ⠀⠌⠐⣎⠀⠀⠠⢀⠂⡘⠳⠤⣀⣀⡀⣀⡠⢔⣌⠒⠉⠁⠀⠀⠀⢸⡇⠄⠂⠀ ⠀⠀⠡⡘⠄⠀⠀⣀⠤⡠⢔⡤⣄⡉⣅⢃⡌⡀⠤⠠⡤⠀⠀⠀⠘⣎⡇⠀⠀⠀ ⠂⡄⠀⠀⠐⠢⠶⠋⡛⠛⣙⠚⠛⠺⠖⠻⠛⡝⢻⣻⠿⣶⣆⣀⠀⠇⠁⠀⠀⣠ ⢈⠁⢱⣤⣌⠁⠀⠉⠆⡡⢄⡈⢒⢀⠂⡄⢣⠐⡡⢂⠽⠤⡉⠉⠌⠀⣉⣴⣾⣿ ⣿⣶⣿⣿⣿⣷⡄⢀⡐⠠⢈⠒⡅⣊⡔⣀⠢⠁⠆⠃⠈⠐⠀⣠⣶⣿⣿⣿⠛⠹ ⣿⣿⠏⣿⣿⣿⡄⠀⠐⠢⢄⣦⣠⣀⠌⢠⣀⣄⣀⣀⣤⣴⣾⣿⣋⣿⣿⣿⡄⢀ ⠋⣹⣷⣿⣿⣿⣿⡏⠀⠀⠀⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⠃⢉⣼⣿⣿⣿⣿⡇⠀ ⠂⣿⡟⢿⣿⣿⣿⣿⣿⡄⣠⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣷⣿⣿⢿⢿⣿⣿⣷⣶

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⣯⡿⣝⣯⠿⣽⢯⣟⡿⣻⣟⣿⣿⣿⢿⣿⣿⣿⣿⣻⣿⣶⣾⣷⣬⡁⠈⢀⣀⣵⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⢌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢯⣽⢯⣟⢾⣵⣻⡽⣾⡽⣽⣳⢯⣟⣿⣿⣯⣿⢾⣿⣿⣟⡾⣯⢿⣿⣿⣿⣷⣤⣿⡇⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠠⠁⠊⠀⠁⠀⠀⠀⠀⠀⠂⠘⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣏⣿⢯⣿⢾⣟⡾⣳⣟⣳⣟⡷⣯⣟⣾⣿⣿⣿⢾⣿⣟⡾⣿⣿⣽⣿⣿⣏⣿⣿⣿⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡳⣞⣿⣿⡯⣿⢾⣽⣳⢯⡷⣯⣟⣷⣻⣽⣿⣿⣿⣿⡽⣯⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⣀⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢯⣗⣻⣿⣟⡾⣽⢿⣛⣾⡽⣯⢟⣷⣻⢾⣽⣿⣿⣞⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣶⠿⣻⠿⠛⢹⣿⢿⠟⠛⠉⠐⣌⢻⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣝⣾⣿⡟⣼⣻⣏⣿⣹⢺⣟⣵⣫⣶⡿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⢀⣠⣴⡾⢋⣽⣿⣯⣿⠋⡔⠉⣼⣿⠇⠀⠀⠀⠣⢌⣻⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣽⣿⣟⢾⣿⡵⣯⢾⣱⣯⣿⣷⢯⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣴⣿⣿⣿⣿⠃⢌⠀⢰⣿⡏⠀⠀⠀⠀⠱⢨⠼⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣻⣿⣿⣯⢿⣿⣟⣯⣿⣯⣿⣿⣿⣯⣿⣟⣿⣿⣳⣿⣿⣿⣈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⣿⢣⠘⣀⡞⢸⣿⠁⠀⠀⠀⠀⢀⠃⢾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣻⣽⣿⣿⣯⢿⣿⣻⣾⢿⣿⣽⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⣿⢋⢆⠃⣾⠀⣸⡟⠀⠀⠀⠀⠀⠀⠎⡽⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⣽⣿⣿⣿⣯⣿⣿⣏⣿⣿⢿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⢯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⢿⡿⢣⢍⣢⣭⡇⢀⣿⢃⠀⠀⠀⠀⠀⢈⢒⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⡟⢰⣿⢾⣿⣯⣷⣿⣿⣿⣞⣿⣿⣿⣿⣦⣛⢿⣿⣿⣿⣿⣿⣿⣽⠏⠉⠗⣚⣩⣾⠟⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣷⣿⡏⢠⠃⢸⡟⠰⠀⠀⠀⠀⠀⢌⣺⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡿⠀⣾⡏⣿⣿⡷⣿⣿⣿⣿⣧⣧⣼⣿⣿⣿⣿⣶⡹⢿⣿⣿⣿⣿⡸⢄⠉⠉⡙⣉⠡⣚⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣇⡞⠀⣼⠁⠁⠀⠀⠀⠀⠈⡴⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠁⢸⡟⠀⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣟⠻⢾⣫⣼⠗⠀⠙⢟⡻⣿⣷⡂⠀⠀⠐⠀⠂⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⠃⣿⣿⠟⠀⢠⡇⠀⠀⠀⠀⠀⠀⣘⡾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⢀⣿⠁⠀⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣬⠉⡒⠋⠁⠀⠀⠀⣤⠙⠌⠻⢆⡀⠀⠀⢀⣰⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠋⠀⠀⣸⠁⠀⠀⠀⠀⠀⠐⣼⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢀⣾⠏⠀⢰⡿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⢡⣁⡀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠤⠚⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⠇⠀⠀⢠⠇⠀⠀⠀⠀⠀⢀⣹⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣾⠟⠀⢀⣾⣟⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢎⣀⣀⠄⠀⠀⣤⣠⣤⡀⠀⠀⠀⣠⡿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠏⠀⠀⢠⠏⠀⠀⠀⠀⠀⠠⣜⡾⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣟⡞⠀⠀⣼⣿⣞⡿⣾⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⠉⠉⠀⠀⢀⡼⢏⣵⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠣⠋⠀⢀⣴⠏⠀⡄⠀⠀⠀⣀⢳⡞⠀⢿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣟⣷⣇⢀⣼⠏⢸⢾⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡲⢤⣄⣀⣠⠖⣏⣱⣾⣿⣿⣿⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠓⢶⣾⠟⠁⠀⡜⠀⠀⠀⡰⣬⠟⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀ ⠀⢠⣾⡳⠋⢸⢾⡾⡟⠀⣾⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣃⢎⠲⣁⠏⣴⣿⡿⢻⢽⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⠈⣆⠀⠀⠀⣠⠞⠀⠀⢀⡰⣳⠋⠀⠀⠀⠀⠘⠆⠀⠀⠀⠀⠀ ⣰⣻⠞⠀⢀⣼⣿⣿⠀⢰⣟⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⡜⣻⣆⠣⠜⡒⢼⡿⣈⠗⣚⣏⠿⣼⣿⡿⣿⣿⣿⢿⣙⢮⡿⠃⠀⠈⠒⠶⠾⠋⠀⠀⢀⢦⡟⠁⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀ ⡗⠁⠀⣠⡾⢃⣽⡾⣧⡾⣽⣯⣿⣿⣿⣿⣿⡿⠻⠿⠿⣿⣿⣿⣿⣿⣿⣯⣇⠎⡴⢡⢎⠳⡜⢺⣄⢛⣦⢙⡴⢪⠜⣆⣛⣷⣿⣿⣟⢣⠎⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⡄⣯⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀ ⠀⢀⣾⢋⣴⠟⠁⠻⣽⡿⣿⣾⣿⣿⡟⠉⠉⢿⣄⠀⡸⠛⢉⠛⣿⣿⣿⣷⣮⣛⠍⠲⢌⠣⡜⡄⠛⡷⢏⠲⡌⣧⣻⠞⣋⢶⣿⣿⣏⠆⠁⠀⠀⠀⠀⠀⠀⠀⠀⡄⣳⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀ ⣴⣿⣵⠟⠁⠀⢀⣼⣿⣿⢷⣿⣿⡟⠀⠀⠀⠀⠙⣏⠀⠁⢢⡀⠸⣿⣿⣿⣿⠿⣿⣷⡾⠶⢶⣌⢓⡰⢊⣕⡾⢛⠤⡙⡔⢺⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡄⣣⣼⡏⢽⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀ ⠟⢏⠀⠀⠀⢀⣾⣿⣟⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠸⡄⠀⠀⠈⠂⣿⣿⣿⣿⣿⣷⣤⡙⣷⣬⡘⠳⠐⢃⠌⡰⢉⠆⡱⢈⣽⣿⡎⢿⡆⠰⣇⠀⡀⢄⠢⣍⣶⣿⣿⡅⢺⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀ ⠀⠀⠉⠒⢀⡾⠛⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢠⣿⣿⣿⣇⢻⣿⣿⢿⣾⣿⣷⠀⠁⠂⠌⢀⠁⠂⠁⢰⣿⣿⣷⡈⢻⡄⢹⡖⣈⠦⡿⣾⣿⣿⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀ ⡰⢪⡕⡴⠃⢠⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⡀⣼⣿⠟⣹⠇⠀⢿⣿⠀⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠘⠆⣻⣿⣿⣦⣽⣾⣧⣝⣾⣷⢻⣿⣿⣿⣿⣷⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀ ⢡⣣⠞⠀⣰⣿⣿⢋⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡿⠟⠊⠁⠀⣠⣿⣏⣾⣿⣾⡿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⡞⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠀⠀⠀ ⠚⠁⠀⢀⣿⣷⠏⣼⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⢀⣠⣶⢿⡟⠀⠀⢀⠄⢊⣿⣿⣿⣿⠟⠛⠉⠁⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⢿⣿⣿⣷⡀⠀⠀⠀⠀⠒⠛⠛⠁⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⣟⣴⣿⣿⣿⣿⣿⡏⠀⠀⠀⣀⣤⣾⣿⠟⣉⢾⠇⠀⠐⣁⢶⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⡆⠈⢻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⣟⣾⣿⣿⣿⣿⣿⣿⣿⠇⢀⣤⠾⠛⠋⠁⠀⠈⡔⣾⠖⢀⠜⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⢄⡀⠻⣿⠙⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⣟⡷⣯⣿⢿⣿⣿⡿⣿⣿⣿⡴⠋⠀⠀⠀⠀⠀⠀⠐⣸⡿⠀⠘⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢿⣷⡀⠀⠻⡷⣄⠀⠀⠀⠀⠀⠀ ⡸⠋⠉⠙⢣⣿⣿⣿⣇⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⢰⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡝⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⣦⡘⣧⡀⠀⠉⢌⠳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⢾⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠘⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⠌⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⡛⠁⢣⠀⠀⠀⠡⡘⢆⠀⠀⠀ ⣦⣀⣀⣤⢾⣿⣻⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⣲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⡚⡌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠘⢸⠀⠀⠀⠀⠐⣌⡆⠀⠀ ⢿⡟⠏⠻⢿⣷⣻⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡝⡔⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣼⡇⠀⠀⠀⠀⢸⡷⠀⠀ ⡏⠀⠀⠀⠀⠙⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⢁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡹⢬⡁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡇⠀⠀⠀⢀⣾⣿⠀⠀ ⢇⡀⠂⠀⠀⠀⠈⠙⠿⣯⠀⠀⠀⠀⠀⠀⢀⠑⡂⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡘⣽⡝⢦⡃⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣺⣿⣿⣷⣄⠀⢀⣾⣿⡇⠀⠀ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⣄⠀⠀⠀⠀⠠⢃⡕⢺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡑⢼⡟⡼⣩⠿⣦⡡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⣌⣷⣿⣿⣿⣿⣿⣶⣿⣿⣿⠁⠀⠀ ⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡈⢳⡄⠀⢠⠡⢣⠜⣹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠣⣹⢾⡙⠶⡡⢞⡩⢷⣯⡰⠡⢄⠠⣀⠀⡄⢠⢂⡜⣬⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀ ⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⢄⢻⡄⢣⠜⣡⢞⣿⣿⣷⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠘⢤⡷⢏⢧⡙⣣⠕⡪⠜⡡⢞⡹⠿⣮⣵⣦⣹⣬⣷⣾⣾⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀ ⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠐⡈⢦⡙⢦⡙⢦⣻⢡⣿⣿⣿⣦⣐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⣈⣦⢽⢫⠜⡩⢆⡱⢢⠙⠄⠃⠁⠊⠔⢫⠔⢦⠣⣝⢲⣿⠿⣿⡅⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀ ⣿⣿⣿⣇⢤⠀⠀⠀⠀⠀⠀⠀⢈⠒⡜⢦⣹⣳⣿⣿⣿⣿⣿⡿⢠⣷⠶⢤⣤⣀⣀⣀⣄⣠⣤⣬⠶⢓⢋⠆⢣⠊⠌⠑⡀⠂⠁⠈⠀⠀⠀⠀⠈⠐⣊⠦⡙⢦⣿⣿⣨⣿⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀ ⣿⣿⣿⣿⣿⣶⢄⡀⠀⠀⠀⠀⠠⢩⢜⣣⢷⢃⣿⣿⣿⣿⣿⣇⣿⣿⣧⠀⠀⠈⠉⠉⠈⠁⠀⠀⠐⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⢎⣹⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠙⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣧⣿⣦⣿⣥⣤⣀⣀⠂⡇⣞⣼⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⠛⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣨⡿⢻⣿⣿⠏⠀⣸⣿⣿⣿⣿⣿⡿⠀⣿⢿⣿⣿⣿⣿⣿⣿ ⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⣾⣾⣿⣯⣿⣿⣿⣏⣼⡿⠛⠙⠁⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠱⣿⣿⣿⡿⣏⠀⣰⣿⣿⣿⣿⣿⣿⡇⠀⡿⢸⣿⣿⣿⣿⣿⣟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢰⣿⡿⠟⠛⢫⡹⠖⠉⠁⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⣿⡿⢻⡇⠉⣹⣿⣿⣿⡟⣿⣿⡿⢀⣼⣡⣿⣿⣿⣿⣿⣿⣯ ⡿⢿⠟⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⣁⡤⠒⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣿⣿⡀⠘⢛⣿⣿⣿⣿⡟⢀⣿⣿⣅⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⣿⣿⢰⣿⣿⣿⣿⣿⠛⢣⠐⢌⣖⠡⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⠂⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⠙⢿⡿⠿⣻⣿⣿⣿⠟⣠⣿⡿⣻⣿⣿⢟⣋⣱⣿⣿⣿⣿⣿⣿ ⣿⢿⢿⣿⣭⡿⠃⠄⠀⡠⠈⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⣹⣾⣿⣿⣿⣿⣾⠿⠋⠀⠹⡸⣏⡉⠉⣿⣿⣿⣿⣿⣿⠋ ⡟⠁⢸⡾⠋⠀⢡⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢽⠂⢀⣼⣿⠟⠉⠉⠋⠉⠀⠀⠀⣆⣠⠇⠀⠀⣼⣿⣿⣿⣿⣿⣧⡀ ⣇⠀⠋⠀⠀⠀⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡃⢻⡇⢸⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡿⠏⠉⠉ ⣿⡀⠀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠌⡑⣇⠘⣿⠈⢆⡀⠀⠀⠀⣀⠀⠀⣀⠤⣊⡽⢟⠿⠛⠉⠁⠐⠠⠀⠀

Warning: This item may contain sensitive themes such as nudity.

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⠀⠀⠀⠀⣠⣾⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣆⠀⠀⠀ ⠀⢠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣧⠀⠀ ⢀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⠀ ⣸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⡄⠀⠀⢀⣴⣦⠀⠀⠀⠀⣠⡀⠀⠀⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠀⠀⣾⣿⠁⢀⣶⡆⠀⣻⣿⠀⠀⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠛⠿⠛⠁⠀⠀⠹⣿⣶⣿⠿⣿⣶⣿⠏⠀⠀⠀⠉⠉⡁⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⢹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⢀⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⢈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇ ⠈⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀ ⠀⠘⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⢰⣶⡀⠀⠀⠀⠀⣰⣿⡟⠁⠀ ⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⣾⡟⠁⣠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣄⣠⣿⠇⠀⠀⣠⣾⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣿⡆⠀⠀⠙⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠁⠀⣶⣿⡿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
♡ ☆ .♡‧₊˚ you ╭◜◝ ͡ ◜◝╮ ㅤ ╭◜◝ ͡ ◜◝╮. ( ^ ∀ ^。 ) ♡ ( ^ ∀ ^。 )☆ ♡ ╰◟◞ ͜ ◟◞╭◜◝ ͡ ◜◝╮ ͜ ◟◞╯♡ . ☆ ㅤㅤ( ^ ∀ ^。 )☆ ♡ do ♡   ╰◟◞ ͜ ◟◞╯ . ☆
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Warning: This item may contain sensitive themes such as nudity.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠈⢛⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠃⠠⢿⣥⠀⢩⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠙⠛⠀⠀ ⠀⣠⡾⠃⠀⠀⠀⣀⣀⣀⠀⣀⠀⢀⠀⢀⠀⣠⣤⡄⠀⠘⢷⡄⠀⠀ ⣰⠟⠀⠀⠀⠀⠀⠉⠉⠉⠐⣧⣴⠿⣤⡼⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀ ⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃ ⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀ ⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀
ㅤ / ⌒ \ /๑╹ω╹๑\ (;;;;______,,,,,)   丿  ! (__,,ノ
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₍ᐢ•(ܫ)•ᐢ₎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡿⠿⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠛⠛⠿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠛⠁⠀⠀⢠⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡇⠀⠀⠈⠻⣿⣷⡄⠀⠀⠀⠀⢀⣀⣀⡀⠀ ⠀⢀⣤⣤⣄⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣆⠀⠀⠀⠘⠋⠙⠻⡆ ⠀⠈⣉⣉⡉⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣇⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⠀⠀⣶⠿⢿⣦⠀ ⠀⠾⠛⠙⠻⠀⠀⢰⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣷⣶⣶⣶⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⠉⠀ ⠀⠀⢀⣀⡀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⢀⣴⣶⣶⣦⡀ ⠀⣴⡿⠟⢿⣦⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠈⠉⠁⠈⣿⡇ ⠸⣿⡅⠀⠀⠁⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⣀⣴⡿⠃ ⠀⣹⣿⣶⣤⠀⠀⠀⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠛⢻⣷⠀ ⠀⣿⣯⣈⣁⡀⠀⠀⠈⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠏⠀⠀⢰⣶⣾⠟⠀ ⠀⠈⢻⣿⣟⣁⣤⡄⠀⠈⠻⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠃⠀⢀⣀⣀⣽⣿⠀⠀ ⠀⠀⠈⠛⠿⠟⠛⠁⠀⠀⠀⠈⠛⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⠿⠋⠀⠀⠀⠘⠛⠟⠛⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠴⠶⠶⠶⠶⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣤⣤⣤⣤⣤⠴⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠟⠀⠀⠶⠀⠀⠀⠀⠀⠸⠂⠀⠻⣦⠀⠀⣠⣄⡀ ⢀⣯⡃⠀⣼⠃⠀⠀⠀⠀⢰⣄⠀⣀⡷⠀⠀⠀⠀⠘⣧⠀⠖⠦⠁ ⠀⣀⡀⢰⡇⠀⠀⠀⠀⠀⠀⠉⠙⠉⠀⠀⠀⠀⠀⠀⢸⡇⡤⣤⡀ ⢸⡁⠙⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⣼⠃ ⢸⣟⡃⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⢤⡿⠀ ⠀⠻⠷⠖⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠋⠀⠰⠾⠃⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣤⣤⣄⠀⠀⠀⢀⣴⣿⠋⠀⠀⣠⣄⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣽⣿⠟⠀⠀⢰⣿⣟⣁⠀⠀⠀⠙⠛⣿⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣥⣄⠀⠀⠈⠛⠛⠿⠟⠀⠀⣠⣾⣟⣁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⡷⠀⢠⣿⡟⠀⢀⣴⣶⠀⠀⠰⣿⡄⠘⠿⠿⠿⠿⠿⠃⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀ ⠀⢀⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⣠⣾⣿⣿⣦⣠⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⡀⠀ ⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠀⠈⠙⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀ ⢀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⠀⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠀ ⠀⠈⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠃⠀ ⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀ ⠀⢠⡿⠁⠀⠀⠀⠠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀ ⢠⡟⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⣀⠀⠀⡀⠀⣤⣤⡀⠀⠀⠀⠀⠈⣷⡀ ⢸⡇⠀⠀⠀⠀⠀⠀⠻⠿⠃⠸⣧⣴⣦⡿⠀⠛⠟⠁⡀⠀⠀⠀⠀⢹⡇ ⠘⣧⠀⠀⠀⠀⠀⠰⣧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠹⣤⠇⠀⠀⠀⢀⣿⠁ ⠀⠘⢷⣄⠀⠀⣴⢂⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣀⡦⠀⣠⡾⠃⠀ ⠀⠀⠀⠙⠃⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠚⠋⠀⠀⠀
*⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀ ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡁⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠉⠉⠀⠀⠉⠉⢦ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁⠀*
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠾⠟⠛⠛⠛⠛⠷⢶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀ ⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀ ⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀ ⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀ ⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⣀⠀⠀⠀⣀⠀⠈⠹⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣤⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀ ⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀ ⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀ ⠀⠀⠀⠙⠿⠶⣾⢶⣶⣾⣦⣤⡾⣦⣄⣤⡿⢷⣦⣀⣠⡴⠿⣦⣠⣴⢷⣤⣴⠿⣶⣶⠿⠶⠾⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡇⣿⠄⠀⢸⡇⠀⠀⠀⣿⢸⡇⠀⠀⠀⣿⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⣷⡏⠀⠀⢸⡇⠀⠀⣸⡏⣾⠇⠀⠀⢠⣿⠀⢹⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⢻⡇⠀⠀⢸⡇⠀⣰⣿⠀⡿⠀⠀⢀⣾⡇⠀⠘⣷⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠈⣧⠀⠀⡿⠁⣰⡏⣿⠀⡇⠀⠀⢸⣿⠀⠀⢀⣿⣇⠀⠀⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⢀⠀⣿⠀⣼⠇⠀⣿⢸⡇⠀⣧⠀⠀⢸⡟⠀⠀⣸⠏⢿⡄⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣿⢀⣿⠀⠀⣿⢸⡇⠀⢿⡄⠀⢸⡇⠀⢠⡟⠀⢸⡇⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⢀⡏⢸⣿⠀⠀⣿⣾⠀⠀⣸⣧⠀⠸⣧⠀⢸⡇⠀⢸⡇⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⣾⠃⢸⠹⣧⠀⢿⣿⠀⠀⣿⠹⣧⠀⢻⣆⢼⡇⠀⣾⠃⣸⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⢃⣸⣏⠀⢸⠀⠹⣧⠈⢿⡄⠀⡇⠀⠙⣷⣄⠻⣿⡇⣴⠏⣰⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣧⡾⠋⣿⠀⢸⡇⠀⠙⢷⣜⣷⡄⣿⠀⠀⠸⣿⢷⣽⣷⣟⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢻⡇⠸⣿⠀⠀⠀⢹⡏⠀⣿⠀⠀⠀⢹⣆⢸⣯⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⢿⡆⠀⠀⢸⣧⠀⣿⡄⠀⠀⠀⢿⡄⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣤⣿⡄⠀⠀⢿⡄⢹⡇⠀⠀⠀⠀⢻⣎⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠃⠀⠀⠈⣿⡈⣿⡀⠀⠀⠀⠀⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⣀⣀⣀⣀⡀⢀⠀⣤⣠⣤⣤⣤⡤⢤⣤⡄⣤⠀⠀⣠⠤⣤ ⠐⠃⢛⡛⠛⡓⢛⡛⠚⠘⡛⠛⢛⠛⠛⠓⡘⠚⠓⠛⠃⠃⠀⠀⠒⢛⠛⠓⠛⢂⢋⠐⠓⠚⠑⠒⠚⠛⡃🪼🪼
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⠆⠡⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦⣤⣾⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣿⣿⣿⠀⣀⣴⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡍⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣶⣿⣿⣿⣿⣿⡋⠁⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⢿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢆⠁⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⣤⡀⠀⠀⠀⣠⣴⣿⠿⢻⣿⣿⡿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠉⠻⣿⣿⣦⠀⠀⢀⣴⣾⠿⠉⠀⠀⢀⣠⣾⡿⠟⠉⠀⠀⠀⠙⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠎⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣷⣶⣾⣿⠟⠁⠀⢘⣿⣿⡇⠈⠙⠛⠛⠃⠀⠀⠀⠀⠀⠀⢀⣼⣿⡟⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣴⣿⡿⠉⠀⠀⣠⣴⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡍⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⣾⣿⠿⠀⠀⠀⠀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠉⠀⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⢀⣰⣾⣿⠇⠀⠀⠀⠀⠀⠈⢻⣿⣿⣯⠀⢀⣴⣾⡿⠋⠀⠀⠀⣀⣤⣶⠾⠃⠀⢰⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡜⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠃⠀⠀⠀⠀⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⣿⠿⠁⠀⠀⢀⣤⣾⣿⠛⠁⠀⣀⣀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡒⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⡀⠀⢀⣴⣿⣿⣋⣤⣶⡾⠟⠛⠃⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡅⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣤⣶⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⣽⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡜⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣦⣤⣤⣀⡀⠀⠀⠀⠀⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣿⣿⣿⣶⣾⣷⣷⣿⣶⣾⣶⣶⣶⣤⣬⣛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡒⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣿⣿⣷⣾⣿⣿⣷⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡱⢀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣦⣌⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠇⠘⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⡀⠀⠀⠀⠀⠀⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠥⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣩⣿⣿⣿⣿⡿⠿⠿⠿⠿⠆⠀⠀⠀⠀⣴⣿⣷⠀⠉⠛⠛⠻⠿⢿⣿⣷⣶⣶⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡃⠌⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣀⠀⣠⣿⣿⠏⠀⠻⢿⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣦⠀⠀⠀⠀⠀⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⡟⢠⣶⣶⣶⣿⣿⣿⣶⣶⣾⢆⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠥⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⠛⠻⠿⢿⠿⣟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⣀⡀⠀⠀⠀⠀⣀⣄⣹⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠈⠉⠉⠙⠛⠛⠛⠻⠟⠛⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡃⠌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⢿⣿⣿⠀⠀⠀⠀⠛⠛⠿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠂⠀⢠⣶⣦⣄⡀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡱⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡆⠀⠀⠀⠠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣠⣿⣿⡗⢿⣿⣷⣭⡻⢿⣿⣷⣦⣤⣴⣤⣴⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠥⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣧⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⣿⣿⠧⠈⠉⠁⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣛⣿⣿⣿⣿⣈⠀⠉⠛⠿⣿⣷⣮⣭⣛⠛⠿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢣⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡄⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣽⣿⡿⢿⣷⣶⣶⣤⣤⣄⣠⣁⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠸⠿⠛⠛⠿⢿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠈⠛⠻⢿⣷⣦⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣃⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡀⠀⠀⠘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⡿⠿⠟⠁⠀⣤⣶⣦⢀⣤⣴⠀⠀⢺⣿⣿⣿⣿⣧⣤⣀⠉⠉⠻⣿⣿⣿⣟⡛⠛⠟⠿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⢠⣿⣿⠏⠀⢨⣭⣿⣿⣿⣿⣷⣦⣄⡀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⡄⠀⠀⠸⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠃⠀⠀⠈⢻⣿⣿⣏⠛⠻⣿⣿⣶⣦⣄⡉⠛⠛⢵⣶⣶⣤⣾⣿⠟⠁⠀⠀⠀⠀⠀⣰⣿⣿⠋⣀⣀⣀⣩⣙⠛⠛⠿⢿⣿⣿⣦⣀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡃⠄⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣄⠀⠀⢀⣤⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⣦⣄⡙⢿⣿⣿⡄⠀⠀⠀⣠⣴⣆⣴⣿⣿⣷⡛⠛⠛⠛⠻⠿⢿⣿⣶⣦⣄⡉⠛⢋⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡑⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣄⣸⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣻⠿⠻⣿⣿⣿⠿⠟⠛⠋⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠈⠙⠛⠿⢿⣿⠾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡱⢈⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠙⣻⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⢿⠷⡿⠿⠛⠀⠀⠀⠠⣶⣶⣷⣦⣸⣿⣿⡏⠙⠛⠿⢿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠥⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣙⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣬⣿⣿⢿⣿⣿⣿⡆⠀⠀⠀⠈⠉⠛⢿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡃⠌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠛⠋⠉⠹⣻⣿⣿⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⣾⣿⣿⣋⣿⣿⣷⡉⠻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡱⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠟⠋⠀⠀⠀⠀⠀⣿⣿⡟⣙⣿⣿⠿⠿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣦⣀⣄⣠⣤⣤⣤⣴⣶⣶⣾⠿⠿⠛⢿⣿⣷⣭⣭⣟⣩⣿⣿⠏⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠥⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡛⠛⠛⢿⣿⣿⣍⡉⠁⠘⠻⣿⣿⣶⣤⡀⠈⠉⣻⣿⡟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢣⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡏⠀⠀⠀⠀⠉⠻⢿⣿⣷⣦⣀⡀⠀⠉⠉⠁⢀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣃⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣷⣶⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⡐⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣃⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢣⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣃⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢆⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠎⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡍⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢆⠁⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠎⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡍⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⢞⢦⡀⠘⡜⡄⠀⠛⠀⠀⢀⣞⣁⣀⣀⣀⣀⣀⣀⠀⠀⢠⡿⠋⣀⣤⡶⠾⡆⠀⠀⠀⠀⠀⠀⠀⢸⠒⠀⠀⠐⠒⠦⣄⣀⡏⠙⠚⠙⡖⠉⠀⠀⠀⠀⠀⠀⢳⣀⣀⣀⠀⠀⠀⠀ ⠀⠑⣝⡄⠈⠁⠀⠀⣴⠚⣉⡥⠔⠒⠓⠋⠉⣉⣉⣹⠿⠟⠋⠉⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⢀⡴⠚⠳⠄⢀⡴⢥⡖⠉⠉⠉⠉⠉⠑⢺⠀⠀⠀⠉⠓⢤⡀ ⠐⠂⠀⠀⠀⠀⠀⠀⢻⡊⠁⢀⡠⠴⢒⣨⣽⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⡉⠀⠒⠒⠒⢺⡴⠂⠉⠉⠉⠉⢳⠄⠀⣠⠀⠀⣀⠟⠒⠦⠤⢀⡀⠀⡼⠀⠀⠀⠀⠈⠀⣕ ⠀⠀⠀⠀⠀⠀⠀⢀⠏⢳⡞⢁⡤⢖⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⠓⠒⠲⡶⠻⣄⣠⠤⠐⠊⢉⣶⡾⣿⣷⡴⠙⢦⣄⡀⠀⠀⠈⣹⠁⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⢠⣾⠖⠋⠻⢅⣠⠞⠁⠀⠀⠀⢠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠓⠈⢡⠹⣴⠁⠀⠀⠀⡰⢋⣏⣾⣹⣏⡿⡇⠀⢫⢯⡓⠲⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠲⢦⡤⠄⠒⠚⠉⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⢠⠏⡀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⢀⠌⢃⠙⣧⡀⡠⠊⢀⠞⠒⠚⡏⢻⠀⡇⠀⠈⠏⢧⠀⡆⠀⠀⠀⠀⢀⠤⡀⠀⠀ ⠀⠀⠈⠉⢓⡶⢖⣶⠖⠋⠀⠀⠀⠀⠀⠀⢠⠇⠸⡼⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⡾⡀⠣⣈⠿⣀⡴⠃⠀⠀⠀⠃⢸⠀⡇⠀⠀⢸⠘⡆⣧⠀⠀⠀⠀⠸⡀⠹⠀⠀ ⠀⣀⣀⡴⠿⠒⠉⠀⢀⡔⠀⠀⠀⠀⠀⠀⡎⠀⠀⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢸⠀⣧⣤⣔⣚⡤⠽⠘⣆⠀⠀⠀⠀⠙⢤⡇⠀ ⠉⢹⠖⠒⠒⠒⠚⢉⠟⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠈⢧⡀⠀⠀⣠⠛⢦⡀⠀⠀⠀⠀⠙⢤ ⢰⠏⡀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢰⢻⠀⠀⡸⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣦⡞⠁⠀⡸⠳⣄⠀⠀⠀⠀⠀ ⡎⣰⠇⠀⡀⠀⢸⠁⠀⠀⠀⠀⠀⢀⡏⢸⠛⢲⣇⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⡇⢳⡀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡴⠁⠀⢸⣷⢦⣀⠀⠀ ⣣⢿⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⣸⠀⠀⡆⠸⠈⠃⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣹⠤⡧⠬⢧⣀⡀⠀⢸⡘⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠤⣀⢔⣛⡳⣄⠀⠸⠸⡄⠈⠣⠀ ⢿⠘⡀⣸⡀⢸⡇⠀⠀⠀⠀⠀⠀⣿⣀⣉⣻⡷⣄⠀⠈⣆⠀⡀⠀⠀⠀⠀⠀⢸⠋⠈⡆⡇⠀⠈⢇⠉⠀⠀⢣⠁⠀⠀⠀⠀⠀⠀⠀⠀⢣⠋⠑⢎⡾⣄⡇⡏⠳⣆⠀⣿⠀⠀⠀ ⠀⠀⢧⢸⣧⠘⡇⠀⡆⠀⠀⠀⠐⣯⣾⡿⠿⣷⣌⠀⠀⠙⣆⢻⡄⠀⠀⠀⢀⡿⣖⣒⢻⡧⢤⡀⠈⢷⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⣆⠀⠀⢷⢠⢃⡛⢭⢝⢷⣿⣄⠀⠀ ⠀⠀⠈⠻⡞⣆⢣⠀⣷⠀⠀⠀⢸⣿⠏⢀⣾⢏⣻⡇⠀⠀⠘⢾⡞⢦⡀⢀⣞⣼⡿⢿⣿⣷⣶⣌⠓⠈⢷⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⡬⣃⣁⣰⠾⡈⠉⢠⣧⠜⡼⢹⡇⣴⠀ ⠀⠀⠀⠀⠀⠈⠻⣧⠸⣧⠀⠀⢸⣿⠀⢸⡳⠚⠊⢻⠀⠀⠀⠀⠁⠀⠛⠞⢋⡴⡿⢽⣛⠻⡟⢿⣷⣄⠈⢧⡎⠀⠀⠀⠀⠀⠀⠀⠀⡞⣞⠁⡞⡇⢰⠳⣠⡿⠉⡆⡇⢸⣡⣿⠀ ⠀⠀⠀⠀⠀⠀⢸⢛⡗⠿⡷⣴⣌⢻⠀⠘⣧⠀⠘⢹⠀⠀⠀⠀⠀⠀⠀⠀⡘⡔⣉⡙⠒⠻⣿⠈⢿⣿⡄⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⡍⡇⢰⢞⡶⡍⣓⠪⡕⣡⣿⣁⣇⡰ ⠀⠀⠀⠀⠀⠀⢸⣸⠀⢀⣇⡼⢹⠻⣧⣠⡙⢾⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣁⡇⠀⣰⡏⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠓⢬⣵⡎⡟⠁⠀⣠⢻⡝⠡⡟⠋⠀ ⠀⠀⠀⠀⠀⠀⠘⢯⣠⠼⠋⠀⢸⠐⢊⢴⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⢴⠞⠩⠤⣀⡿⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣁⠴⠋⣸⣷⠁⠀⡴⠁⠀⢳⠀⢻⠀⢀ ⠀⠀⠀⠀⠀⢀⣴⣏⣱⣀⠀⠀⡞⡰⡋⠫⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⡵⡷⣶⠮⢥⡶⠖⠀⠀⠀⠀⠀⠀⣀⡴⢊⣵⡞⠊⠁⣠⠞⠹⡡⣄⠎⠀⣀⡠⠚⣉⣉⣁⠲ ⠀⠀⠀⣠⡴⠋⣿⡄⠀⠀⠉⢳⣿⢿⡉⠙⠓⠦⡄⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠊⠘⠜⠑⠻⠭⠤⠤⠤⠤⠤⠒⠚⡽⠿⠚⠁⠀⣧⢴⠯⠀⠘⠆⣣⢻⠢⡎⣤⢫⣹⢸⣳⠷⡣ ⣶⣆⠉⠉⠉⠙⢿⣿⣶⣶⣦⣞⣙⢧⡳⢄⣀⣀⣸⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠈⡆⢇⠀⢀⣻⠌⡍⠀⡯⠇⢻⡄⣔⠊⠣ ⠉⠉⠓⠤⠤⢴⣞⠻⡍⠉⠉⠑⢾⠀⠙⢦⣤⠼⢥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠦⠤⠤⠤⠖⠚⠙⡄⠀⠀⠸⡘⡭⢥⣔⢣⢻⡄⡞⠙⡆⣿⡘⡄⣀ ⠀⠀⠀⠀⢰⡋⠉⠙⡟⢲⣤⣴⣾⡇⠀⣠⡇⠀⠀⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡶⢞⡙⣅⢷⡀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⢳⡰⡏⠀⠉⣄⣧⣙⠶⠬⠧⠭⢿⡶ ⠀⠀⠀⠀⠈⡇⠀⠀⣧⣼⣿⠁⠀⢙⠶⡏⡇⠀⢀⣇⣨⢿⡛⢳⠒⠒⣶⣦⠀⠀⠀⠀⠀⣠⣼⡖⠛⣿⠈⢮⢧⡀⠀⠀⠀⠀⠀⠀⣨⠖⣫⠭⠥⡝⢆⠀⣨⢿⢄⢸⠉⢉⡩⢆⡇ ⠀⠀⢀⣠⢮⡹⡄⠀⣹⣛⣾⡀⠀⠀⡦⣭⣇⣀⡼⣁⡇⠀⣣⠸⣆⡴⢿⣍⡙⠋⠉⠙⠋⣀⣴⣶⡾⢉⣷⣾⡿⣧⡀⠀⠀⠀⠀⠸⠴⢇⢷⣄⡠⢃⣞⣀⠸⠘⡼⡈⡩⠤⣔⢯⡀ ⠀⡴⠋⣇⠀⣳⡉⠉⡽⠱⡌⣇⠀⢀⠇⠏⠙⣆⠤⠞⠉⠉⢉⡇⡏⢀⣿⡋⠛⠻⠿⠿⠿⠿⠻⠟⣹⣿⣾⠈⠙⢿⣷⡀⠀⠀⠀⠀⠀⢘⠎⢋⣠⡔⠒⢢⠙⣇⢡⢃⢣⠀⠈⢓⠞ ⡀⠻⣄⠀⠉⠀⠀⠉⢧⡠⠏⠓⠙⠋⠉⠓⠚⠁⠀⣀⠤⠔⢻⣶⣇⣾⡏⠉⠳⠤⠔⠤⠤⠔⢋⣽⡟⠉⠁⠀⠀⢸⣷⣿⣄⠀⠀⠀⠀⠈⠙⣌⢧⢙⡶⢋⠜⠘⠮⠛⠬⠀⡠⠀⢽ ⢄⠀⢸⣉⠙⠦⠤⠤⠤⢤⣀⣠⠤⠦⠤⠖⠊⠉⠉⢁⣀⡴⢺⠧⠬⣍⠻⢦⡀⠀⠀⠀⠀⢠⣿⣿⠇⠀⠀⠀⢀⡾⠃⡏⣉⣓⡶⡆⠀⢀⡔⣽⣂⠥⠺⢽⣦⡀⠀⠀⠀⠞⣴⡩⠆ ⡘⢀⣸⣄⡟⠲⢦⠀⠤⢤⣤⠤⠤⠤⠄⣠⡶⢶⠉⣱⣋⣵⢾⠀⠀⢨⠗⢦⣙⡯⣵⣶⣖⣻⣏⠤⠭⢍⣙⠚⠉⣡⠔⠀⠀⠀⠹⣿⣤⠊⠀⠈⠀⠀⠀⠀⠈⠛⢦⡀⢸⢠⠐⠚⠉ ⣳⠋⠈⣯⠙⠻⠭⠄⠘⣧⣤⣽⣀⣀⠀⠑⠶⠭⠒⠋⠉⣀⠜⠀⠀⠈⢳⣠⢻⣻⣷⡷⠚⠉⠀⠀⠀⠀⠀⠹⠍⠈⢆⠀⠀⠀⠀⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠺⣼⠀⠀⠀ ⢫⡽⠀⠈⠓⠢⢤⣀⣀⡀⠀⠀⠀⠀⢀⣀⣠⡤⠴⠒⠋⠁⠀⠀⢠⡴⠿⣇⣼⣿⣛⡒⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⢀⠜⣽⡿⡝⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀ ⠈⢷⣄⣀⡠⠐⠊⠁⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡼⠁⠀⠀⠉⠛⠯⣌⠳⣝⣄⠀⠀⠀⠀⠀⠀⠀⠀⣨⣶⡥⢾⣹⢣⠃⠀⠀⠉⠓⢦⣀⡀⠀⠀⠀⠀⠀⠈⢣⡳
⣟⡿⣻⠿⣽⣻⢯⢿⡹⣯⣟⣿⠿⠛⠉⠁⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠾⣷⣦⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣷⡈⠗⣨⢴⣋⠶⣉⠞⣬⢣⡝⣢⠝⣢⢝⣢⠓⣬⢢⠱⡘⠆⣣⣺⣿⣿⠿⡛⣥⠚⠴⣡⠒⡌⢦⡱⢈⠦⡱⢌⡒⠤⣃⠖⣌⢢⡑⠦⣘⠢⣑⠢⡜⣰⢃⢎ ⣏⣿⣹⣏⣷⣯⣛⣷⣻⣝⣫⣥⣴⣶⣾⣿⣿⣯⣭⣉⠉⠉⠙⠛⠓⠶⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠋⠁⠀⠀⠘⣿⠀⠀⠀⠀⠘⣿⣿⣟⣿⣻⣿⣿⣴⣿⡑⡞⡬⣏⡝⡺⡔⢣⢎⡵⢪⡱⢎⢦⡙⢤⢃⣧⣽⣾⡿⣿⠟⣢⢃⡗⣆⢫⣓⢤⢋⠴⢣⡱⣉⠖⡱⢊⠼⡱⣌⠲⡌⣆⡙⢦⢡⠏⢲⢡⢓⣬⢏⠒ ⣟⣷⣻⣞⣳⢯⣯⣟⡟⣯⣟⡭⢷⣻⡼⣞⡶⣏⡿⣟⣿⣶⣤⡀⠀⠠⣤⣀⣬⣝⣳⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠙⣿⣿⣟⣿⣾⣿⡿⣿⢿⣮⡵⣚⠼⡱⣍⠳⣎⡜⣣⠝⣌⣶⣼⣶⣿⡿⣟⣿⣿⣏⠚⣥⢋⡼⣌⠳⡌⢮⡙⣎⡕⣢⠕⣪⢅⢫⠰⡱⠜⢒⡨⢄⢩⡘⠢⡙⢆⠣⣍⡰⣊⠱ ⣿⢶⣻⣞⣭⡿⣞⡾⣽⢾⣹⢟⡯⢷⣛⡷⣽⢫⢷⣻⣎⢿⡽⣿⣷⣤⡈⠙⠲⢤⣀⣀⠀⠀⠉⠉⠛⠲⠆⠀⠀⣤⣤⣾⣿⠿⠟⢿⣧⠀⢠⡟⠀⠀⠀⠀⠀⠀⠘⢿⣾⣟⣿⣿⣿⣽⣻⢿⣷⣯⣣⠓⣬⠳⠼⣬⣱⣾⠿⠟⠛⠛⠿⠿⣯⣟⣿⢅⡻⢤⢋⡖⣩⠖⣙⠦⡓⢬⠚⡵⢪⡔⣎⠶⣙⡦⣏⠵⣘⠬⢢⢥⢣⡑⣎⠱⣆⢵⢎⡱ ⣟⣯⢷⣻⢾⣝⣯⣽⢳⣯⣳⢯⣻⣭⢷⡹⣞⡟⣯⢷⣯⣻⣽⣻⢾⣽⡿⣷⣤⣀⠈⠉⠛⠛⠶⠶⠤⢤⣤⣤⣾⣿⠿⠋⠀⠀⠀⠘⣿⡄⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣻⣿⣯⣟⣯⣟⣿⣧⡛⢦⣏⣷⠟⢉⣥⡀⠀⠀⠀⠀⣠⣾⣾⡏⢦⡙⢎⡚⡴⢃⡞⡱⢎⡵⢪⡝⣜⠳⢎⣨⠗⡭⢲⢍⡚⢥⣚⠱⣊⠱⡘⠴⣉⠖⣸⠎⡔ ⣟⡾⢯⡽⢾⣹⢾⡼⣏⣶⢫⣏⢷⡹⣞⣳⣏⡾⣽⢺⣷⣛⡾⣽⣻⣞⡿⣽⡻⣿⣷⣦⣄⣀⡀⠀⠀⢀⣴⡿⣿⠋⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⢠⣀⣠⠴⡾⠛⠿⢿⡻⠿⣿⣟⣾⣿⣿⣿⣿⡿⠋⠀⢀⣾⣿⣾⣿⠆⢀⣼⣿⣿⣿⣿⣷⣯⣶⣕⢮⡑⠞⡥⣋⠶⣡⠖⣉⠶⡍⣎⢱⡎⢧⢎⡱⢎⡰⣉⢆⡓⣘⢆⡑⢎⠡⢎⠴ ⡿⣼⢯⠿⣝⢯⣳⣟⡼⣞⡽⢮⢷⡻⣜⣷⣿⡼⣳⢿⣞⣽⣻⣳⠿⣼⣻⢷⣻⡽⣿⣿⣿⣯⣙⣧⣴⠞⠀⢿⣿⡄⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢈⣫⣷⣤⣤⣤⠀⠈⣧⠀⠈⠻⣿⣿⣿⣿⣿⣦⠀⢀⣾⣿⠿⠋⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⡖⣡⢋⣥⢞⡩⢖⢭⢢⡓⣬⢓⢎⡱⢊⡱⣌⠦⡵⢌⡚⡜⢬⡱⣉⠦ ⣟⣧⣟⣻⣭⢯⣳⢮⣻⠼⣝⡻⣞⡽⣞⣼⣷⡹⣷⢻⣞⡷⣯⣳⡟⣷⢯⣟⣳⣟⣳⢯⣿⣿⣿⣿⠏⡀⠀⠘⣎⣧⠀⠀⠀⠀⢀⣼⠁⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣷⡀⣽⠀⠀⠀⠙⣿⣿⣿⣿⣿⣧⠈⠉⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⡒⢎⡵⢋⠦⢧⡹⢆⠯⣜⣷⣩⠔⣌⠳⡜⡡⢞⡌⢲⡱⢄⠳ ⡿⣼⢞⣳⣞⣳⡽⣺⢵⡻⣭⢗⡯⢾⣹⢞⡧⣿⡱⣟⡾⣽⣳⠿⣼⢯⣟⣾⢳⣯⣏⢿⣾⣿⣿⣿⠀⢻⣄⠀⠙⠛⢷⣄⢀⣴⣿⠏⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⠀⠀⠀⣼⠋⠻⣿⡿⣽⣻⡄⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡹⡜⡼⣩⢏⠲⣱⢋⡞⣼⣿⣿⠳⣈⠷⡸⢅⠶⡘⢧⠸⣌⠳ ⣿⡱⣯⢳⢾⡱⣏⢷⣫⢗⡯⣞⡽⣫⢞⡽⣗⣳⣏⢿⣹⢷⣫⢿⡽⣛⣾⢳⣟⡾⣹⢾⣽⣿⣿⣿⡀⠈⢿⣿⢦⣀⠺⡿⠿⣿⠏⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣾⠃⠀⠀⠹⣿⣯⢿⣿⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⢦⢳⡙⢶⡱⣈⢇⠧⢫⣼⣿⠿⣑⢇⡓⡎⠵⢋⡊⡵⣊⠷⣨⠑ ⣷⡹⢧⡟⣧⢟⡽⣎⢷⡻⣜⣧⣛⣧⣛⡽⣇⣳⣞⣫⣟⣺⣍⣿⣘⣻⣜⣻⣜⣹⣋⣗⣻⣿⣿⣿⣷⡀⠘⢿⣧⣻⡛⢶⣄⡀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣼⡇⠀⣼⠃⠀⠸⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⡆⣏⢦⢣⡙⢦⡹⣡⣮⣾⣿⡿⣿⡱⢍⢎⡨⢴⣫⢜⣡⠓⣍⠶⣡⢋ ⣾⣹⡳⣽⢺⡝⡾⣭⢯⡽⣹⢮⡽⣭⢯⡝⣯⢯⣝⣯⢽⣫⢟⣿⣻⢽⣫⡟⣽⣫⣟⡻⣿⣿⣿⣿⣿⣷⡀⠈⢿⣿⣷⡄⣾⡉⠛⠲⣤⡈⠉⣽⣛⠛⠻⢿⣿⣿⣿⣟⣽⣿⠁⠀⣰⣿⣧⣰⣿⠀⢀⣠⣿⣷⣟⣿⣿⣿⣿⣿⣿⡿⠁⣴⣿⡿⣿⢿⣿⣿⣿⡟⣣⢱⠒⡭⢆⡳⣜⣶⣿⣿⣿⣟⣿⣽⣏⡔⢪⢎⢳⡱⢎⠳⣌⠟⡬⢞⡥⢊ ⡷⣣⣟⢮⡟⣾⣹⢮⢷⡹⢧⡟⣾⡱⢯⣞⢧⡟⡾⣼⣫⢗⣯⣿⢞⣳⢯⣽⣳⣳⣭⢷⣻⣿⣿⣿⡿⣿⣿⣆⠈⢻⣿⣿⣿⣷⣀⣠⣴⡿⠉⣛⣿⡶⣤⣌⡉⠀⢻⣿⣿⢻⣄⣴⣿⣿⣿⣿⣷⠾⠛⠋⠙⢻⣿⢾⣿⣿⣿⣿⣿⣷⣾⣿⣿⣽⣯⣟⣿⡿⡫⡜⣡⣣⣯⣼⣿⣿⣿⡿⠟⠻⠷⣿⣧⣿⡓⣸⢍⡞⣰⠣⣏⡞⣥⢛⡜⣣⠎⢧ ⣻⢵⣚⣯⢞⣵⣫⢞⡧⣟⢯⡞⣧⡻⣝⣮⢻⣼⢻⡵⣫⣞⢧⣿⢯⡽⣫⢶⣳⢳⣞⣭⢿⣿⣿⣿⣿⣿⣽⣿⣷⣄⠙⠻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣶⣾⡿⠿⣿⢻⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⣿⣿⣿⡟⠋⢀⡄⠀⠀⢹⣿⢇⢳⡱⢎⡜⠆⡗⢦⡙⢦⢋⠞⣥⠛⡦ ⡿⣞⡷⣞⠿⣶⢻⡞⣷⢻⠾⣽⢶⣻⢞⣾⣳⢾⣳⡟⣷⢾⣻⠿⣿⢞⡷⣟⡾⣷⢾⡾⣾⣿⣿⣿⣾⢿⣿⡾⣟⣿⣷⣄⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⠋⢀⣤⣶⠞⣿⣿⣷⣶⣄⢻⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢠⣿⣟⣴⢠⣾⡣⢎⡳⣍⢞⣌⢳⢸⣃⠞⣥⢋⡞⡴⣋⢖ ⣟⡾⡵⣏⣿⣚⣧⢟⡮⣏⡿⣼⣣⢟⡾⣲⡽⢮⣳⡽⣞⢧⡯⣟⡼⣏⡾⣝⡾⣵⣻⣼⣻⣿⣿⣿⣽⣿⣯⡿⣿⣻⣿⡟⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⡟⠁⠀⢸⡿⢋⣾⣿⣿⣿⣿⣿⣸⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⣶⣶⣿⣿⣿⣷⣿⣷⣷⣭⣖⣍⠺⣌⠳⡌⣮⡙⢦⣋⢶⡱⣍⢎ ⡿⣼⢻⡵⣞⣳⢮⢯⣳⢏⣷⢳⣭⢟⡾⣱⢯⡻⣵⢻⡼⣏⡾⣭⢷⣫⢷⣻⣼⢳⢷⣺⣽⣿⣿⣿⡽⣷⣟⣿⢿⡽⣿⡇⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⢿⣿⣿⣿⠀⠀⠀⢹⣷⣿⣿⣿⣿⣿⣿⣿⡇⣿⠁⠸⣿⡿⣛⠋⠉⢀⣠⣴⣿⣿⣿⣽⣻⣾⡿⠿⠿⢿⣿⣿⣽⣿⣿⣿⣯⣟⣿⣯⢛⡞⣳⢎⡽⢤⢣⡝⢦⠱⣎⠴⣌⠮ ⣟⣳⢯⡽⣞⣽⢺⣏⢷⣛⣮⢟⡼⣏⡾⣝⣳⢯⣳⢯⣳⢏⣷⣛⡾⣝⡾⡵⣞⡯⣟⣶⣻⣿⣿⣿⡽⣿⡽⣾⣿⣻⣿⡇⢸⣿⡀⠀⠀⠀⠀⠀⢀⣰⡿⠋⣴⠃⠸⣿⣿⣿⣷⣦⣄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡀⠀⠈⢙⣿⣷⣾⣿⣋⠁⠀⣿⣿⣿⣿⢋⣶⠆⠀⠀⠀⠀⣩⣿⢿⣿⣷⣯⡿⣿⣷⡸⢱⠮⢜⣃⠾⣘⠶⣙⣌⠳⣎⢳ ⣯⢟⡾⣝⣳⡞⣯⣞⢯⣞⢧⡿⣹⡞⣽⣹⢮⡗⣯⣞⢧⣟⡮⢷⣽⢺⡽⣝⣳⢯⡽⣶⣻⣿⣿⣿⡽⣿⡽⣯⣷⣟⣿⡇⢸⣿⣅⣀⣀⣀⣠⣤⡾⠉⢀⣼⠋⠀⠠⣿⣿⣿⣿⣛⠉⢠⣼⠿⣿⣿⣿⣿⣿⣿⡷⠛⣠⣾⡿⣿⣿⣿⣿⣿⣿⣷⠀⢸⣿⣿⣷⡿⠋⠀⠀⢀⣤⣾⠿⣩⢇⣞⡹⣛⢿⣿⣿⣧⢭⡺⡝⢆⡻⢜⡎⡵⢪⡝⣬⢳ ⣟⡾⣝⡯⣗⣻⡵⣞⣟⣮⢟⣞⢷⣹⢷⣹⡞⣽⡳⣞⢯⣞⡽⣏⡾⣏⡷⢯⣛⡾⣽⢶⣻⣿⣿⣿⣽⣻⣽⣷⣿⣾⣿⡇⢸⣿⣿⣿⣿⣿⣿⠋⠀⢀⣾⠁⠀⠀⠀⣿⣿⣿⣿⣿⣷⣾⣿⣦⡀⠈⠉⢛⢛⠻⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣸⣿⣿⠟⣁⣠⣴⣾⢟⡻⣜⣣⢏⠾⣜⡳⡹⣆⢯⡹⣙⢦⠳⣜⡫⣜⢣⡞⡱⢧⢺⡔⣫ ⣟⠾⣝⡾⣝⣧⢿⣹⡞⣮⢟⣮⢯⣳⢏⡷⣽⡳⣽⣫⢟⡼⣏⡷⣽⣹⡽⣏⡿⣵⢯⣏⣿⣿⣿⡷⣯⣿⣾⣿⣿⣿⣿⣇⣾⠃⠀⢀⣤⣾⣧⣈⡐⣾⠃⠄⠌⡁⢌⣿⣩⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠃⠌⢛⡛⢿⠻⠿⢿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⢿⡻⣜⢧⠷⣩⢖⣫⡝⡶⡹⡵⢭⠶⣩⣓⠮⣝⡲⢵⡩⢶⣩⠳⡭⢶⡙⢶ ⣯⢟⡽⣞⡽⢮⣗⣻⡼⣏⡿⣎⡿⡵⣯⣛⣶⡻⣵⣫⢯⡟⣾⣹⡞⣵⢯⣏⡷⢯⡷⣻⣼⣿⣿⣿⣽⣿⣾⣿⣿⣿⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⢏⡐⢌⠢⣁⠢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡻⣿⠛⢦⣄⣀⠘⢿⠟⠀⠀⠀⠀⠈⠉⠉⠉⢸⣿⣻⣿⣯⣿⣾⣿⢟⣮⣽⣶⣋⢧⡻⣜⠧⣝⢮⡛⡵⣎⡽⡲⣝⡲⣝⢲⡱⣏⣳⢣⣛⡬ ⣟⡾⣝⡾⣽⣛⢾⡵⣯⡽⢾⣹⣳⢿⣱⡟⣶⡻⣵⣏⡷⣫⢷⣣⢿⣹⠾⣭⣟⡯⢷⣛⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠂⡜⢄⠣⡔⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣧⢀⣼⣟⠛⠶⣦⣄⣀⣀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡿⣟⡵⢯⡝⣮⢳⣝⡺⣜⢶⣹⢣⢷⣩⢗⣧⢳⢎⡳⡝⡮⣵⢫⣖⡹ ⣟⡼⣏⡾⢧⣻⣝⡾⣵⣛⡯⣗⣻⢮⠷⡽⢧⡟⣶⣛⠾⣝⡧⢿⡭⣏⡿⣳⢾⣽⣿⣿⣿⠿⣟⠛⠛⣛⠻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⡤⢃⠞⡌⡜⡒⣌⣹⣿⣿⣿⣿⣿⣿⣿⣿⣇⠘⢿⣿⣿⣿⣿⣿⣴⣾⣯⣤⣿⣿⡿⠟⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⢿⡻⣽⢺⢧⣟⢮⡳⣎⢷⣹⢺⣬⢻⣬⢳⣫⢖⡯⣞⡵⢫⡵⣎⢷⡪⢵ ⡿⣝⣯⣛⣯⢷⡺⣽⢳⣏⡿⣽⣹⡞⡿⣟⢯⣻⢳⢯⣟⣻⢞⣯⢟⡽⣞⣯⣿⣽⠟⡩⠰⢌⣛⣯⠝⡩⠅⠛⠛⣿⣿⣿⣿⣿⣿⣿⡿⢣⡙⢴⣋⡜⡔⣣⣵⡶⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣝⠻⢿⢿⡿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣷⢿⣱⢻⡞⣼⣣⠿⣜⢧⣛⢶⢣⡗⣎⠷⣎⢯⢞⡶⣹⢧⡳⣝⢮⣙⢮ ⣟⣳⢾⣹⢮⡗⣿⣱⡟⡾⣝⣞⡧⡿⣝⣯⢯⢷⢯⡟⣾⢭⣟⢮⡿⣹⡽⣾⣿⡟⢬⣁⢳⣾⡿⡐⢣⢰⡉⢎⠡⠻⣿⣿⣿⣿⠿⡹⣜⢣⡝⢲⣧⣶⠿⢋⠡⢐⡐⣾⣿⣿⣿⣿⡿⠋⢻⣿⣞⡿⣿⣷⣄⣀⣀⣤⣀⣀⣤⣶⣿⣿⣦⣠⣶⣿⣿⡿⣿⣛⠿⣭⢳⣛⣮⡽⣳⢽⣣⣏⡟⣮⢟⡼⣫⢗⢾⣩⢞⡭⣞⣣⢏⡷⣋⢷⡹⡞⣜⢮ ⣯⢟⡾⣭⢷⣛⣧⢯⣽⢻⣝⣮⣽⡳⣟⣞⢯⣻⣞⡽⣧⡟⣞⣯⣞⢷⡻⣿⣿⡙⢦⢎⣹⡿⣅⢹⢂⠧⡘⢎⡱⣵⣿⣿⣿⣍⡳⢵⣊⡷⣸⣹⡟⠅⡒⣌⣦⢁⢲⣿⠙⠛⠋⠁⠀⠀⢸⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡿⣟⡿⣽⣿⣿⣿⣿⣯⢳⡽⢶⣏⠿⣭⢏⡷⣣⢿⣹⡞⣵⢞⡽⣎⢯⣳⡝⣮⢳⡭⣞⡵⣫⡜⣯⢞⣭⢳⡽⣙⠾⣸ ⣟⡾⣽⣭⢿⣹⢮⢿⡼⣛⣮⠷⣞⡽⣞⣭⢿⣱⢾⡽⢶⣻⠽⣶⣫⢯⡽⣿⣿⣙⣎⠾⣸⠟⡬⢎⡍⢶⣉⣶⣿⣿⣿⣿⢯⢼⣙⢧⢞⡴⣿⣿⠁⢎⣵⣿⣿⡌⣾⣿⡆⠀⠀⠀⠀⠀⢸⣿⣿⡿⣾⣽⣻⣿⣿⣿⣿⣟⣯⣿⣿⣿⣿⣿⣿⣷⢻⡞⣷⣺⡻⣵⢫⡽⢯⣗⣻⡼⣏⣞⣳⢭⡳⢧⣻⡜⣧⢻⡜⡶⣣⣛⠶⣋⢮⡳⣭⡝⣞⡱ ⣟⣞⠷⣞⣯⣳⢯⡟⣾⡝⡾⣝⣯⠾⣝⡾⣭⡟⣾⢽⣛⣞⢿⣱⢯⣯⡽⣿⣯⣷⢎⡟⡼⣍⣳⣭⣾⣿⣿⣿⣿⣿⠿⣝⡯⣞⡽⣚⢮⣽⣿⣿⢼⣿⣿⢿⣽⣿⣿⣿⣇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣳⢿⣿⣿⣿⣿⣿⣟⣾⣻⣿⠿⣿⣿⣿⣿⣷⣯⢳⣳⡝⣮⣷⡻⣝⢮⡳⣽⢎⣷⡹⢮⡝⣧⡳⣝⢮⡳⣝⡺⢥⣫⢽⡹⢎⡷⣱⢞⣥⣛ ⣟⢾⣻⠽⡶⣏⣷⢻⡵⣻⣝⡯⣞⣻⣝⢾⣳⡽⣫⢾⣝⡾⣫⣽⣳⣳⢿⣹⣿⣽⣮⣽⣿⣿⣿⣿⣿⡿⣟⡿⣽⣞⣻⢧⣟⣵⡻⣝⣿⣿⣿⣿⢾⣿⣿⣻⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣷⣻⣿⣿⡟⠋⢻⣷⣿⣞⣿⣿⡀⠀⣨⠶⠿⠻⣿⣻⠖⠛⠀⠀⠘⠙⢮⡳⣭⡋⠁⠹⣧⠛⠁⠉⠉⠉⠁⠉⡷⠋⠉⠁⢻⡹⢮⡅⠉⢲⣩ ⣯⢟⣞⢿⣹⡽⣚⣯⢷⡻⣼⡽⣹⣳⣞⣻⢶⡻⣝⣯⢞⣳⡟⣶⣏⡷⣯⣛⣿⣿⣿⣿⣿⡿⣟⣯⡿⣽⣯⣟⡷⣯⣟⣻⢮⣷⣻⣽⣿⣿⣿⣏⣿⣿⣿⣷⣿⣿⣿⣿⣿⡆⠀⡀⠀⠀⣾⣿⣿⣿⣷⡿⠋⠀⠀⠀⣽⣿⡿⠿⢟⢁⡀⠀⠀⠀⢸⡿⠧⠐⠾⣧⣠⢾⠒⠀⠿⣖⡅⠀⡹⠀⢀⡴⠖⠶⠲⠖⠦⢳⠀⢐⡀⠀⠹⡳⠄⠀⢸⣱ ⣟⡾⣹⣞⣧⠿⣝⣮⢷⡻⣵⣛⡷⢧⣟⡞⣷⡻⣝⣮⢟⣧⡟⣷⢾⣹⢷⣫⢿⣟⣿⣿⢾⡿⣿⣽⣻⣷⣻⢾⣻⡷⣯⣟⡿⣶⣿⣿⣿⣯⣿⡇⣿⣿⣿⣾⣿⣿⡿⣾⣿⣇⠠⢐⠠⢁⢼⣿⣿⣿⣷⡄⠐⠠⢄⠠⠉⡉⢀⠈⠻⠟⠃⢀⡐⠂⣿⣧⣄⣀⣠⡾⠱⣧⣀⣀⣠⠾⡅⠀⢱⠀⠈⢷⣀⣄⣠⡀⠀⢸⠀⠀⡿⣄⠀⠙⡃⠀⢸⢧ ⡿⣼⣳⢏⣾⢻⡽⣮⢷⣛⣧⡟⣾⣛⣮⣟⣳⡟⣽⢮⣟⣮⣽⡳⣯⣻⠾⣝⣯⣿⡾⣿⣿⣽⣷⣻⣽⣳⣟⡿⣽⣻⢷⣯⢿⣽⣿⣿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣧⠒⠬⡐⠌⣾⣿⣿⣿⣿⣿⣧⣥⡌⢂⡱⢄⠣⡘⢄⠒⡌⠰⣸⢰⣿⣿⣷⣤⣉⠀⠀⢈⢁⡤⣯⣛⡆⠀⢹⣦⣄⡀⠀⠀⠀⠀⢀⣜⠀⠀⡿⣜⣆⠀⠀⢀⣼⢣ ⡿⣵⢯⣻⡞⣿⢞⡷⣟⡾⣶⣻⢶⣻⢶⣻⢶⣻⠽⣞⣧⡟⣶⣻⣳⣽⡻⣽⢞⣿⣿⣿⣿⣾⢿⣽⡷⣿⣽⣻⡷⣟⣿⣞⣿⣿⣿⣿⣿⣻⣿⢸⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡌⡳⡘⡜⣼⣿⣿⣿⣿⣿⣿⣿⣏⠲⣐⢎⡲⡑⢎⠲⣌⡱⢧⣿⣿⣿⣿⣞⢿⣣⡴⣞⢯⣻⡵⣫⢽⣛⠷⣎⣟⡻⣟⢿⡻⣽⡹⣎⢷⡻⣵⣋⢾⣹⢏⡿⣜⢯
⠻⠿⠿⠿⣾⣟⣛⣭⣥⣲⣴⡷⠶⠛⠋⠁⠀⢀⣠⣤⣶⡶⠟⠛⠛⠛⠉⣉⣀⠀⠀⠀⠀⠉⠉⢉⡙⠂⡄⣀⠀⠹⣶⠾⠋⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡶⠶⠶⠶⠛⠳⠶⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡆⠵⣈⠒ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⢀⣤⣶⠿⠛⠉⠁⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣦⣤⡈⠱⡘⠄⡆⠱⢠⠐⡌⢂⠰⣠⣤⣴⣶⣿⣿⣿⣿⡄⢸⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠛⠉⠉⠀⠀⠀⠀⠀⠀⡀⢠⣿⣿⣿⡿⣿⣻⣽⣿⣽⣯⣿⣷⣿⣿⢠⢻⡆⢥⢋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⢿⣿⣿⣿⣷⡅⡰⠈⡔⡉⠆⢡⣰⣾⣿⣿⣿⣿⣿⡿⣿⣻⣿⣇⢘⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠿⣿⣿⣿⢿⣿⣿⡿⣯⣿⡿⣷⣿⣿⡿⠋⠛⣿⡄⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣼⣿⣿⣿⣯⣿⣷⣿⣻⣿⣿⣷⣧⠀⠡⣸⣿⣿⣿⣿⣟⣿⣯⣷⣿⣿⣿⣿⣿⠂⡰⠘⢢⡄⠀⠀⠀⠀⢀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣟⣿⡿⣿⣟⣷⣿⡷⣆⠡⠈⢷⡃ ⠛⠿⢶⣤⣄⡀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣷⣿⣿⣾⣿⣿⠛⠛⡁⢹⣇⣾⠛⣿⣿⣿⣿⣿⣯⣿⣯⣷⣿⣿⣿⡟⠠⣁⠣⠄⡘⠦⡀⢀⣰⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣟⣿⢿⣿⡧⡹⣧⠈⡐⠠ ⠛⠷⢶⣥⡉⢛⣷⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⢋⣿⣿⣿⣿⣾⢿⣿⡿⠋⣡⠘⣰⡐⢸⣿⢃⣌⡈⣿⣿⣿⣿⣽⣷⣿⢿⣳⣿⣿⠇⡁⢂⠱⣈⠰⠀⡝⠻⣿⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣿⣿⡿⣿⣇⢳⡟⠁⠄⡁ ⠻⣦⡀⠉⠛⠳⣾⣸⢛⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠂⣽⣿⣿⣿⣳⣿⣿⣿⠀⠓⣀⡂⣽⣧⡾⣿⡟⠁⢆⣿⣿⣿⣿⣯⣿⣾⣿⡿⣿⣿⢠⣐⣈⣐⣀⣂⣑⣠⣡⣘⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⢿⠿⠾⢇⡈⠔⡀ ⠀⠈⠻⣦⡀⠀⣿⠙⢷⣬⢻⣦⡀⠀⠀⠀⠀⢠⠆⢡⢸⣿⣿⣿⣟⣿⣿⣿⣿⡌⠰⣿⡿⢋⡥⣰⣿⣧⠈⣼⣿⣿⣿⣿⣽⣿⣽⣷⣿⣿⣿⣿⠛⠋⠉⠉⠉⠉⠙⠉⠛⠛⠻⢷⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⠀⢀⠀⠀⠀⠈⠐⠄ ⠀⠀⠀⠘⢷⣄⣿⠀⠀⠙⢷⣝⣷⡀⠀⠀⢀⡃⠌⡲⢩⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⢿⣷⢨⡗⣷⣿⠳⡌⣹⣿⣿⣿⣿⣿⣿⣯⣿⣟⣿⣿⣿⡄⠀⠈⠀⠁⠀⠀⣀⣤⡶⠟⡛⢍⠩⢹⡿⠶⠶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠉⠀⠀⠐⠀⠀⡀⠈⠀⠂⠀⠀ ⠀⠀⠀⠀⠈⢻⣷⠀⠀⠀⠀⠛⣿⣿⡄⠀⠀⡜⢈⠰⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣧⣯⣿⣾⠿⡿⢾⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣀⠄⡀⣠⣴⠿⣋⠱⣀⠣⡜⢠⢣⣿⠃⠀⠀⠀⠈⠉⠛⠻⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠃⠀⠠⠁⠐⠀⠁⡀⠠⠁⠐⡀⠀ ⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠈⢿⣇⠄⡚⣀⠆⢸⣿⣿⣷⣿⣿⠿⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠐⣨⣶⠿⡛⢛⠿⣦⣥⡂⠱⡈⢴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣵⡒⠲⢤⣤⣄⠀⠂⠌⡄⠀⡀⠌⠀⡐⠀⠀⡀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⢀⠀⠀⢸⣿⢾⡡⢐⠊⢼⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠆⠀⠀⠀⠀⠀⠀⠈⠻⣿⡻⠿⣿⣿⣿⡿⢡⣾⠟⣑⢊⠜⢢⠱⢨⠝⣿⣧⣴⡿⠁⠀⠀⠀⠀⣀⣠⣤⣶⣶⣶⠶⠷⢶⣾⣿⡑⠆⡤⢙⣻⡎⠠⢁⠆⠀⠀⠐⠀⡈⠐⠀⠄⠡⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡀⠀⢸⣿⢸⠃⠄⣉⣿⣽⡿⠻⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠐⠀⠀⠀⠀⠀⠈⢻⣶⠐⢎⠹⢻⣿⡁⠉⠀⠉⢈⠁⠎⢡⠚⣜⣿⠻⣶⢶⡶⢶⠿⣛⠛⣩⠑⡤⢋⠛⠿⣶⣼⢿⡟⡑⢎⡔⠣⢌⣷⣁⠂⢌⠂⡅⠠⠀⡀⠠⠈⢀⠁⠀ ⠒⡄⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢸⣿⢸⢠⠁⢸⣿⡏⡄⠃⡆⠙⣿⣦⠀⠀⠀⠀⠀⠘⣿⡇⣤⣤⣤⣤⣤⣶⣶⣾⢻⢻⣷⣿⡟⢠⠃⣼⣾⡟⠃⠀⠀⢹⣦⠀⠀⠁⠘⣿⣷⢠⡆⡜⢢⠑⣦⠙⣤⠉⡖⢩⡜⢢⢡⠙⣿⣿⣯⡆⡜⢱⢨⠘⣿⣦⢠⠈⠐⢡⠂⡔⢠⠂⡌⢱⠀ ⢢⠙⣄⠀⠀⠀⢸⡿⠀⠀⠀⠀⢠⣿⡏⠧⢐⠨⢸⣿⢡⠘⡰⢈⣱⣾⢿⣷⣤⣀⠀⠠⡉⢿⣿⢋⢻⠉⠏⣻⡏⠏⣿⣤⣶⣿⣯⣷⠶⠟⢻⡇⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⡀⢻⣧⢢⠑⡎⡱⢄⠳⣈⠵⣈⠧⡘⢦⣉⠒⠬⡹⢿⣴⢁⠇⡎⢆⠩⡛⠧⡌⡄⠡⡈⠄⣃⠐⡌⠡⠊ ⣆⢍⠲⡀⠀⠀⣼⠇⠀⠀⠀⣠⣿⠓⡬⢁⠢⢁⣜⣿⡀⢣⢐⣾⣿⠿⣾⠇⡍⣛⠻⠟⣿⣿⡿⠗⠀⠈⠀⣿⠇⠀⠘⠉⠉⠉⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⢿⡄⠹⣧⡣⠜⡡⢎⡱⢌⠲⡐⠦⡙⢤⢊⠝⣢⠑⠦⡙⠬⡘⠜⣌⠣⡜⢡⠒⡩⠱⢌⠳⠘⢧⣀⡴⠦ ⣿⠨⡅⢣⠀⣰⡿⣦⣤⣴⣾⠟⡡⢃⡒⣉⣶⡾⠛⢻⣇⣶⣟⣻⡏⣼⡏⠀⠈⠀⠁⠈⣼⡟⠁⠀⠀⠀⢸⣿⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠰⣿⡄⠀⠀⠀⠀⠀⢻⡇⠀⠀⢸⣧⠀⠙⢿⣖⡡⠎⡔⢪⠥⣙⢢⠙⣢⠩⠜⡤⢋⠖⣉⠖⣉⠚⡤⢓⡌⢣⡙⢰⡉⠎⠀⠀⠈⢿⡀⠀ ⡗⠸⣐⢣⣼⡏⠁⠀⠙⣿⠹⣧⡡⢣⡶⠟⢁⣀⣤⣾⠿⠃⣼⡿⢰⡿⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⢸⣿⠀⣽⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢿⡄⠀⠀⣹⣿⣦⡉⠖⡘⡔⢪⡑⠦⡙⢜⡰⢉⢆⣥⠚⡌⠳⡌⢣⡘⡡⠜⠡⠀⠀⠀⠀⠀⠈⢷⡀ ⠙⠳⣶⣿⡏⠀⠀⠀⠀⠸⣷⢹⣿⡿⢟⠛⡛⠭⡁⢆⠢⣁⣿⠁⣿⠁⢠⣄⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⢸⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣗⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⢸⡇⣠⡾⠋⢀⣽⠿⢷⣥⣚⡤⠱⢡⣉⣦⣶⠿⠛⡅⢳⣈⠓⠬⣁⡖⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠉⠻⣧⣄⠀⠀⠀⢻⣯⣿⣦⡁⢎⠰⡡⢚⠠⡑⣸⡿⢸⡏⠀⢸⡇⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⢸⣿⠀⣿⢧⣀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡀⠀⠀⠀⠀⠀⠈⣿⡀⠀⢸⣿⠉⢀⣴⡟⠉⠀⠀⠈⠉⣻⣿⢷⣿⡋⠴⣡⢋⡜⡡⢢⣹⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣧ ⠀⠀⠀⠀⠀⠀⠙⢷⣄⢠⣿⣿⠏⠹⣷⣌⠒⠡⠎⢴⢫⣿⡇⣾⠇⠀⣿⠃⠀⠀⠀⣿⡇⠀⠀⠀⠀⠠⢿⣿⣂⣿⡇⠙⠻⠶⣦⣤⣤⣤⣴⣾⣿⣶⡿⠷⠿⠛⠂⠀⢻⡇⠀⠈⣿⡶⠟⠁⠀⠀⠀⠀⢀⣼⣼⡟⠢⣽⣯⠑⣢⢃⠦⠱⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢿⣽⡽ ⠀⠀⠀⠀⠈⠷⣦⣬⣿⣿⠛⠁⠀⠀⠈⢙⣿⣅⣊⣾⣿⣿⣧⣿⠀⢠⣿⠀⠀⠀⢣⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⢀⠀⠀⠈⠉⠉⢼⣿⡇⠀⠀⠀⠀⠄⠀⢸⣷⠀⠀⣿⡇⠀⠀⠀⠀⠀⣠⢾⢣⣿⠈⡕⣸⣿⠘⡤⢃⢎⡱⠤⣉⠛⣦⡀⠀⠀⢀⣠⡴⠞⠉⠀⠀⠉⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠠⣀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⣿⠀⠀⠀⢸⣿⡇⠀⣠⡶⠀⠀⢹⣿⣿⣿⣯⠀⠀⠀⠀⢀⣀⣤⣤⣾⣿⣧⣤⣤⣤⣤⣤⣤⣾⣿⣿⠀⢻⣇⠀⠀⠀⢠⠞⣩⢢⣿⠣⣑⠸⢸⣿⡇⡜⠡⠎⡔⢣⠆⡭⢐⡡⠂⠀⠈⠁⠀⠀⠀⠀⠀⢶⣿ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢸⣿⣄⠀⠀⢸⣿⣷⣶⠟⠀⠀⠀⢸⣿⣿⣿⣿⣴⣶⢾⠿⠟⣛⣿⣿⣿⣿⣷⣾⣷⣃⣜⣿⡿⠟⣿⣿⣰⣾⣷⣶⣶⡞⢩⡘⢤⣿⢃⡱⠤⣉⣿⠟⢿⣦⣽⣀⣓⡌⢊⡔⣳⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿ ⡌⠳⢤⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⢸⡏⠻⣿⣿⣿⣿⣿⡁⠀⢀⣀⣤⣾⡿⠟⠛⠩⢁⠂⡄⠂⠴⣻⣿⣿⠿⠛⠻⣿⣿⣿⣿⣿⣿⣼⣿⣿⡏⢹⡟⣻⡟⡑⢆⡱⢟⡡⢎⡰⢡⢚⡿⠀⠀⠀⠉⠉⠛⢿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⣷⢑⡊⡕⢦⠀⠀⠀⠀⠀⣿⡇⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡀⢼⡇⠀⠀⠀⢸⣿⣿⣧⣾⣿⣻⡙⠄⡰⢈⠔⢡⠊⡘⢄⠁⢺⣿⣿⣿⠀⢀⣰⣿⣿⣿⣿⠙⢿⣿⣿⣿⣇⣼⣿⣿⣷⣭⡾⠿⣷⣶⢢⠡⢣⣿⠃⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠡⠀ ⣟⠰⡘⡌⢆⡹⠄⠀⠀⣸⡿⢛⠥⣃⠌⣻⣿⣿⣿⣿⣿⣿⡏⠀⣿⢻⡇⠀⢀⣠⣾⣿⣿⣿⣿⣿⣯⠛⡀⡑⠨⠐⢂⠡⡐⠌⠄⡙⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠇⢸⣿⣿⣿⡏⢹⣏⢻⡟⠣⣄⣿⣯⡹⣧⡃⣿⠏⠀⠀⠀⠀⢀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢃⠀ ⣻⠰⡱⢘⢢⠱⢌⠃⣠⣿⢑⡊⢖⢡⠊⢽⣿⣿⣿⣿⣿⣿⡇⢀⣿⣹⣧⣾⣿⢋⣽⣿⡿⠻⣿⣿⣿⣿⣧⡄⠡⢃⠢⢐⠰⢈⠒⡀⠛⠻⢿⣿⢿⣿⡿⣋⣠⣾⠁⣸⣿⣿⣿⣷⢸⡏⠄⠠⣱⣿⡻⣿⢿⢿⣿⠏⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡁⠀ ⢉⠖⣡⠋⢆⡍⢆⣵⡟⡡⢊⡑⠎⣄⣯⡾⠿⣿⣿⣿⣿⣿⠃⠰⣿⣺⣿⣿⣿⣿⣿⣯⢀⣤⣿⣿⣿⣷⠟⢁⠒⡀⠆⠡⢂⡁⠎⡐⢡⠈⠌⠻⢿⣷⣾⡵⣟⠁⢀⠛⡛⢿⣿⣿⣼⡇⠌⡐⢿⣿⣿⢏⡠⣾⡇⠀⠀⠀⠀⠀⠰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠘⡄⠀ ⠷⣾⣤⣭⣶⡾⠛⠋⠶⢷⣥⣾⡿⠛⠁⠀⠀⣿⣿⣿⣿⣿⠁⣸⣿⣽⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⡟⣿⡦⢂⡘⠤⠘⢠⠡⡐⠤⢁⠢⠡⠌⡀⢻⣷⣾⣾⠿⠛⡀⠂⠄⣿⣿⣿⣾⡇⠐⣠⡾⠿⠛⠛⠻⡿⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⢀⡠⢔⢢⠒⡱⢜⠢⢆⡴⣀⠀⠰⠄⠀ ⡀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠉⠙⠻⣦⡀⠀⢸⣿⣿⣿⣿⣿⠀⢼⣿⣿⣿⣿⣿⣿⢿⣿⣿⣽⣿⣭⣿⡿⠁⠄⡈⠆⡁⢂⠑⡐⠂⢌⠂⡑⢢⠐⡈⠄⡈⢁⠄⡲⠴⠁⢌⣿⠿⣿⣿⠃⠁⢀⠀⠀⢀⠠⠀⠀⠀⠑⢠⠀⠀⠀⢺⡇⠀⣀⠞⠤⢃⠎⡴⡉⠴⣉⢆⢣⠒⡥⢋⠖⣆⠀ ⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⣼⣿⣿⣿⣿⣿⠀⢺⣿⣿⣿⣿⣿⣷⡄⣻⣿⣿⠛⢟⣿⣷⡿⢀⠐⠠⠻⠇⢄⠡⠉⡄⢊⠰⠁⡜⠠⢃⠘⡠⢊⠐⡠⢉⠄⡀⠂⣿⣿⠀⠀⠂⠀⠁⡀⢀⠀⠁⡀⢀⠀⠙⡀⠀⢸⣷⢈⠲⢌⠣⣍⠚⡤⣉⠖⡡⢎⠦⡙⠴⣉⠞⣜⠢ ⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⢀⣿⣿⣿⢿⣿⣿⠀⣹⣿⣿⣿⣿⣿⠸⣷⡈⠙⠋⡁⠿⠛⢋⠀⠢⡘⠄⡁⠆⡌⠤⠡⠐⠌⠠⠃⠤⠁⠆⠌⡐⠠⢃⠰⢁⠒⠠⣹⣿⡇⠀⠀⠌⠀⡁⠀⠠⠀⠂⠀⠂⠠⠀⠰⠀⠸⣿⡌⡑⢎⡱⢢⡙⢔⢢⡙⡔⠣⡜⣡⠓⡌⢞⡥⢊ ⡈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣸⣿⣿⣿⣿⣿⣿⡄⣽⣿⣿⣿⣿⣿⠀⢹⣷⠈⡐⠤⠡⢌⠠⢊⠡⠐⢂⡐⠢⠌⠄⢃⡘⠌⡑⠌⢂⠑⡈⠒⡈⡑⠄⢊⡐⠨⡐⢾⣿⠇⠀⠀⢂⠀⠄⠠⠁⠂⢀⠁⠐⠀⠐⠀⠆⠀⠸⣷⡡⢊⡔⠣⡜⣌⠒⡜⡰⢃⡜⢤⢋⡜⡸⢆⠣ ⣷⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡟⠛⠉⢛⢿⣿⣿⡆⣽⣿⣿⣿⣿⣿⠔⠀⢻⣦⡐⢈⠁⠆⢡⠂⡡⠉⡄⠤⠁⢌⣐⡠⢈⠐⡡⢊⠄⡡⢈⠡⢄⠡⢊⠔⠠⢁⣃⣾⣿⠀⢀⠂⡀⠈⠠⠀⠄⡁⠠⠀⠌⡀⠈⢀⡱⠀⠀⠹⣧⠣⢌⠳⡰⢌⠳⢨⡑⢣⠜⣢⠣⡜⣡⢏⠒ ⢿⣧⣷⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣸⡟⠀⠀⠀⠈⠻⣿⣧⣿⣿⣿⣿⠟⠁⠀⠀⠀⠙⣷⣌⠂⠌⣀⠒⠤⢡⠐⡂⡁⠂⢿⠛⠆⠂⡔⠡⠂⠤⠁⠆⠂⡅⠢⢈⠐⣬⣿⣿⠇⡐⠤⡀⢄⠀⡁⠠⠀⠀⠄⠠⠀⢠⠘⠠⡐⠀⠀⠀⠙⢿⣄⡓⠌⡎⢜⡡⢎⡱⡘⢤⠓⡸⢤⡋⠜ ⠀⢻⣿⡄⠀⠀⠄⠀⢿⣿⢛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠈⣿⣿⡿⢿⡏⢀⠀⠈⠐⠀⠀⠀⠙⢿⣦⣄⢌⣐⣀⡂⠄⡑⠈⡄⠌⠤⡁⠰⢁⠊⢄⠩⠐⡁⢂⣡⣦⣿⣿⠿⣿⠀⡐⠤⠡⠌⠒⣀⢃⡐⠢⢄⠒⢉⠂⠌⢰⠌⠀⠀⠀⠀⠀⣿⡿⠘⣌⠲⣐⠣⡔⢩⢆⡹⣐⠣⢎⠱ ⠀⢸⣿⢿⣆⠀⠀⠀⠀⢿⣯⣦⣴⣦⣤⣤⣄⣀⡀⠀⠀⠀⢹⣿⡇⠀⡠⠌⣂⠀⠀⠁⡈⢀⠀⠀⠈⠙⠿⣿⣝⠛⠷⣦⣅⡐⠨⠐⡁⠃⠌⡈⢄⢂⣡⣼⡾⡟⣵⣽⣿⠿⠻⣿⡄⢂⡁⢊⠡⢂⠆⡈⢁⠂⢌⡠⣈⠾⠁⠀⠀⠀⠀⠀⠀⠹⣧⣣⢄⠣⢢⠑⡌⢣⠜⡰⢡⢋⣌⠣ ⠀⢸⣿⠀⢻⡇⠀⠀⠀⠀⠁⠀⠀⠀⠈⠈⠉⠙⠛⠻⠷⣦⣈⢿⣷⠀⡅⠂⢄⠡⣀⠀⠀⠀⠀⠄⠀⣀⠀⠄⠛⠻⣦⣈⠙⢿⣿⣶⣦⣥⣦⣴⣾⣿⡿⠿⣷⣹⡟⣉⠐⢢⣱⡟⠀⠀⠉⠂⠒⣀⣦⣴⠿⠟⠛⠛⠛⠛⠻⢶⣦⣄⠀⠀⠀⠀⠈⠙⠛⠿⠿⢿⣿⣆⠎⡱⢡⠎⡤⢃ ⠀⣸⠇⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣦⢸⡁⠌⡐⢄⡉⠒⣈⠐⣈⠑⠄⠊⢬⠁⠀⠈⠻⣦⠀⠘⢿⣟⠻⣿⣭⡾⠋⠀⠀⠈⠿⠶⠶⠿⣶⣿⠇⠀⠀⢀⣤⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣦⡀⠀⠀⠀⠀⢀⣴⡿⢟⡋⢆⡱⢊⡜⡰⢡ ⡰⠏⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠹⣶⣀⠂⠌⠡⣀⠱⢀⢉⣤⣽⣤⣤⣀⠀⠀⠘⢷⡄⠀⠙⣷⣾⠏⠀⢀⣶⠿⠶⢶⡶⠶⢿⣯⣿⣦⡀⣰⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⣰⡿⢋⠔⡡⠜⡢⢜⠡⡚⢄⠣ ⠃⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡀⠀⠀⠀⠀⢀⡀⡤⣀⠤⣀⡀⠀⠀⢸⣿⠀⠀⣻⣿⣿⡿⠿⠿⠿⠟⡛⢠⠘⡛⡿⣿⣧⣀⣼⣿⡄⣀⡿⠃⢤⣤⣿⣧⣼⣼⣤⣤⣧⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⢠⡿⢣⡘⡜⣃⢇⠣⡜⢣⠸⡘⢣ ⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⣠⠴⢚⡙⡌⡱⡐⠦⣑⢢⠙⡤⠀⣼⠏⢀⣾⠏⠀⠀⠀⠀⠀⠀⢳⣼⣦⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠈⠘⣶⣄⠀⠀⠁⢸⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⣿⢡⠃⡜⠰⣁⠎⡱⠌⡥⢣⠱⢡ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣠⠚⣅⢊⠖⣌⠲⣡⢙⢢⡑⢎⠱⢂⣿⠏⢠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠁⠀⠀⠀⠙⠷⢶⣤⣼⣿⡿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢸⣿⠿⠶⠿⠛⠿⠶⠶⢷⣧⣔⡣⢌⠥ ⠄⠀⠀⠀⠀⠀⠀⢿⡀⢞⢠⠓⣌⠪⡜⣄⠳⣄⠫⡔⣉⠎⣡⣿⠃⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠈⡙⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠠⠀⠀⠀⢀⠀⢨⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣦ ⢎⡄⠀⠀⠀⠀⠀⣿⢌⢢⠣⡍⠦⣑⠲⢌⠲⢌⠲⡑⡰⢨⡿⠁⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠐⢨⣴⣿⣿⣿⡿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠐⠀⢠⣿⣿⣿⡟⠛⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈ ⢌⠆⠀⠀⠀⠀⠠⣿⠐⣪⠱⣌⠓⣌⠱⣊⠱⣊⠱⢌⣱⡿⠁⣠⣼⠟⠀⠀⠁⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣷⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢀⢂⣾⣿⣟⣿⠇⣸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠐⠀⢘⡟⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀ ⠸⢌⠀⠀⠀⠀⢸⡇⡱⢂⠳⣨⠱⣌⠱⣌⠱⣌⢥⣿⣟⣡⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⣹⣿⣿⡿⣟⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⡀⣾⣿⢷⣫⢿⣧⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⡄⣠⠄⠀⠀⢀⠀⠸⣷⠀⠀⠀⠀⢺⣷⡀⠀⠀⠀⠀⠀⠀ ⡘⠂⠀⠀⠀⢀⡾⡐⠥⣋⠒⣡⠒⡤⠓⡤⠓⣬⣿⣯⡿⠋⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⣾⠣⡘⢰⣿⡿⣽⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣯⣟⣿⡟⠁⠀⠀⠀⠀⠀⠀⣀⠠⢤⣰⣶⣾⡷⠿⠟⢫⠭⠓⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠸⣯⡿⣦⣤⣄⣀⣤⡴ ⡘⠀⠀⠀⢀⣾⠑⡸⢐⣤⣽⣶⣿⢋⠱⡌⣿⠟⠁⢻⡄⠀⠀⠀⠀⢠⣿⠓⡄⠀⢀⠾⡁⢆⡹⣾⣟⣷⣿⣿⡿⠁⠀⠀⠁⠀⠀⠀⠀⢀⢰⣼⣿⣿⣿⣿⣿⣏⠀⠀⠀⠄⠀⡄⢢⠑⣠⣷⡾⠟⢋⠡⡘⢄⠣⢦⣄⡀⠀⠀⢀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠈⠿⣶⣌⣩⡉⣅⠒ ⠀⠀⢀⡴⠏⠉⠛⠛⠋⠉⣰⡟⡡⢎⣲⡿⠋⠀⠀⠘⣷⡄⠀⠀⠀⠰⣿⡇⢬⠡⡌⡒⢌⠢⣿⣿⢯⣾⣿⣿⣷⣤⣤⣶⣶⡄⠀⠀⢀⣬⣾⣿⣿⣿⣿⠾⣽⢿⣧⡀⢀⠒⡉⣴⣵⠿⣋⣥⣴⣬⡶⠷⠾⡛⢆⠣⢌⡑⢦⣄⣀⠀⠀⠈⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛ ⠶⠞⠋⠁⠀⠀⠀⠀⠀⣸⡟⠤⢣⡾⠋⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠠⣿⡧⠘⡄⠓⡌⠢⠱⣿⣿⣿⣿⣿⣿⠋⠉⢿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣟⣿⣿⣿⣹⢯⣟⣿⣦⣑⡾⣿⣵⠾⢛⣭⣷⢶⡾⣮⣵⡐⢌⡘⢢⠘⡤⡈⢍⠳⠄⡤⣀⣄⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⣌⣶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠀⢀⠛⣿⠡⢌⢱⣾⣇⡜⣿⣿⣿⣿⣿⡇⠀⠀⠀⠉⠋⠀⠀⢺⣿⣿⣿⣯⣿⢿⣿⡷⣏⡿⣼⣳⣿⣿⣿⠿⣾⡿⠛⠁⠀⢠⠒⡠⢉⠻⢷⣮⣄⠩⡐⡉⢆⠱⡈⣔⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣟⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣷⣦⣽⣿⣷⣈⣾⠏⡹⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣿⣯⣄⠀⠀⠀⠢⡑⠰⡁⢎⠰⢹⣿⣶⣧⣜⣤⣿⣟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⢀⢀⡀⡀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣶⠾⠛⡉⣀⢀⠀⡈⢟⡟⡠⢱⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣾⣟⣿⣿⣿⡋⠔⡈⢿⣿⣿⡛⠿⣿⣿⣶⣦⣀⣅⢣⠘⡠⢃⣿⣿⣿⡉⣻⣯⣙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣤⣤⣤⣤⣀⣀⣀⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⣿⡿⣿⡏⠙⠛⠛⠛⠋⠉⠉⠀⠀⠀⠉⠙⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⡿⠁⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⠷⠶⣤⣟⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠈⠛⠀⠀⠀⠀⠘⠛⠋⠉⠉⠉⠉⠙⠻⢧⣴⢦⡀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⢸⣷⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⡀⠀⠀⠀⠁⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⣿⣿⣿⢷⡀⠀⠀⠀⠀⠛⠋⣩⣭⣭⣿⣻⢷⡄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⢿⡄ ⠀⠀⠀⠀⠀⠀⣷⠀⣿⣿⣿⣾⠃⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣙⡏⠛⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠈ ⠀⠀⠀⠀⠀⢠⠏⠀⠈⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡇⠀⠀⠀⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠈⠉⠃⠀⠀ ⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠀⠀⠀⢀⣠⣄⡀⠹⣿⣿⣿⣇⠀⠈⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠈⠳⠶⠴⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⡿⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣤⣤⣶⣾⣿⣿⡟⡻⠿⠶⣶⡶⣶⢶⣶⡞⠋⠉⠙⠛⠶⠶⠶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡖⠉⠈⣽⠋⣿⠉⠉⢙⣿⡹⢦⣾⡁⠈⡿⣠⡾⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣇⣄⢀⢿⡀⢿⣀⣀⣾⠧⣿⠏⠈⣻⣿⢱⡟⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣷⣾⡾⠿⠛⠹⠉⠀⢠⣏⣴⢟⠋⠅⢸⡇⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢴⣿⣿⠁⠀⠀⡐⠂⠀⠀⢸⡟⠀⢡⣮⣤⣸⣷⠶⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⠙⠶⠚⠛⠻⣄⣠⣤⠶⠿⣶⣴⡞⠛⠁⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠏⣰⠟⠀⠀⢠⠀⠈⡁⠀⠀⠀⢹⡀⢿⠀⠀⢀⡀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣏⣾⠋⠀⠀⠀⣼⠀⢠⡇⠀⠀⢀⣀⣷⠾⢧⣿⣤⣵⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣏⠁⠀⠀⣠⣿⣿⠀⢸⡇⠀⠀⣨⠋⠀⠀⠀⠳⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢆⠀⠀⠀⣿⣿⠀⢸⡇⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣆⢀⣀⣾⡿⢦⡈⢡⡄⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⠟⠁⠀⠙⣄⠹⣦⣀⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠈⠛⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ .⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡀⡀⠀⡠⠐⠒⠲⡦⡀⠀⠀⡌⠆⠠⠃⠹⡷⠊⢀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡫⠀⠂⠉⢺⡾⢀⡠⠆⠀⠹⣼⡀⠀⠇⠋⠀⠀⠀⠀⠈⠁⠀⢸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡎⡁⠉⢷⠂⡰⢲⡄⠀⠄⢇⡔⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣁⡀⠘⣄⠀⠀⠀⠀⠀⢀⣴⡝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⠁⠀⠀⠀⠀⣸⡆⠀⠘⡄⠀⠀⠀⡀⠤⠒⠊⠉⠁⠀⠀⠀⠀⠀⠈⠢⡀⠀⢀⣴⣿⡋⢀⣀⣀⣠⠄⠤⡄⠀⠀⠀⠀ ⠀⠀⠀⠘⢤⠀⠀⢀⡴⠋⠀⠀⠀⠈⣦⣔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⣹⣿⡿⠉⢪⡠⠈⠋⠊⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⠚⠉⠀⠀⠀⠀⡠⠊⢿⣿⣷⣦⡴⠉⡹⠹⡦⠂⠐⢲⡄⣀⣤⣶⣾⣿⠿⢿⣿⡄⠀⠈⢢⡀⠀⣴⠃⠀⠀⠀⠀ ⠀⠀⠀⢀⡠⠤⢤⣀⡔⢈⠳⣶⠁⣠⣿⡿⠟⠻⢧⠛⠀⠀⠀⠀⠀⣸⣿⡿⠿⠋⠁⠀⠀⢀⠟⠛⣧⣀⢀⡘⢴⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣇⠞⠀⠛⠑⠁⠀⣿⠲⠿⣿⠁⠀⠀⠀⠣⡀⠀⠀⢀⣴⣿⣏⠀⠀⠀⠀⠀⠀⢀⠚⠁⠘⠀⠂⣹⠀⣡⡀⠀⠀⠀⠀ ⠀⠀⢀⠜⠠⠀⠀⠀⠀⠀⣰⠃⠀⠀⠈⠑⠢⡀⠀⠀⠈⠢⠔⠋⠘⣿⣿⡀⠀⠀⠀⠀⠀⠈⢦⠀⠀⢀⣴⣯⡀⣿⣇⠀⢀⠠⢄ ⠀⡐⠁⠀⠀⡈⠢⢀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠓⠚⠁⠹⣿⣿⣿⢿⠉⠀⠀⡜ ⡘⠀⠀⢰⣟⣿⣷⠀⠉⠀⢠⡾⢻⣷⡀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠏⢸⠀⢀⠜⠀ ⠇⠀⠀⠸⣿⣿⠟⠀⠀⠀⠘⣿⣿⣿⠃⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⡈⣠⠊⠀⠀ ⡀⠀⠀⠀⠀⣠⣄⡀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⣀⣠⣴⣾⣿⠟⠁⢀⡜⠐⠁⠀⠀⠀ ⠇⠀⠀⠀⠀⠘⠿⣿⣦⣾⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣶⣶⣤⣤⣾⣿⣿⣷⣶⣾⣿⣿⡿⠟⠋⠁⠀⡠⠊⠀⢸⡀⠀⠀⠀ ⠘⡄⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢏⠉⠙⠛⠛⠛⠋⠉⠉⠉⠉⠁⠀⢀⡠⠔⠊⠀⠀⠀⠀⢇⠀⠀⠀ ⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠒⠤⠤⠄⠀⠀⠀⠄⠒⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠑⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠊⡇⠀⠀⠀⠀⢀⡠⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠒⠉⠀⠀⠀⠈⠁⠀⠀⠀⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⡏⠁⠐⠒⠒⠒⠒⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⠒⠀⠀⠀⠒⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠠⠤⠤⠄⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣿⢿⣿⣿⣿⣷⡐⡀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢍⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣷⠏⠀⠙⣿⣿⣿⣿⣜⣄⢡⡀⠀⠀⢲⢤⡀⠀⠀⠀⠀⠀⠡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡏⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣟⡻⢏⠻⢿⣿⣿⣿⣿⢿⡟⠀⡄⠀⠛⠛⢿⣿⣿⣮⢂⣣⠀⠀⠙⢖⣓⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣧⡓⠤⣺⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣇⣹⣿⡄⠈⠙⠻⢿⣿⣿⠿⡿⣿⣿⢁⣴⠀⡀⠲⡴⡀⠹⢿⡿⣷⣮⡀⠀⣰⣏⠈⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⡋⠉⣿⣻⣯⢻⣿⣟⠿⢠⣦⣜⣿⣿⣿⣷⠀⠀⠀⠀⠀⠉⢙⣓⡶⠿⠿⢿⠀⡸⣴⡇⢹⡀⢻⡀⠀⠉⠳⠄⣈⠈⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡏⣿⣿⡖⢹⣿⣿⣾⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣧⠀⢀⣠⡶⠛⠉⠀⠀⢀⣄⣸⠀⠓⡟⡇⢸⢣⠈⡟⢄⠀⠀⠀⣬⡑⠢⢄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠘⣿⣧⣿⣿⢿⣦⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡴⠛⠁⠀⢀⣄⣴⡾⡿⠛⢻⠀⢠⢃⠃⢈⠘⢧⠘⡜⣷⣄⣸⠀⠻⢵⢄⡈⠢⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⣽⣿⣿⣷⣽⣿⣿⡿⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢒⣽⡟⢋⠲⡬⠆⠸⢀⠾⢾⣀⣈⠀⡇⢇⢡⢩⡇⠙⡄⠀⠀⠀⠉⠢⢄⠑⠦ ⠀⠀⠀⠀⠀⠀⢠⠟⠉⠙⢿⣿⣟⢿⣿⡇⣠⠤⠛⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⡀⠾⡁⣄⠓⢃⡆⣇⡖⢨⣄⠀⠀⠉⠑⠓⠼⣇⣻⣾⠀⠈⢦⡀⠀⠀⠀⠀⠉⠂ ⠀⠀⠀⠀⠀⢠⡿⠘⠦⣠⣾⢿⢿⣆⢷⣿⢀⣀⣀⣀⣙⣿⣿⣮⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⠀⠉⠘⠓⢋⠉⠹⡇⡎⣿⡷⠤⣀⠀⠀⠀⠀⠈⠉⠒⠤⢀⡙⠦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠳⡈⢯⠹⣮⣿⡾⢿⠟⡿⠛⠻⣍⣻⠛⠿⠿⣿⣿⣿⡏⠁⠀⠻⣿⣧⠀⠀⠀⠈⠁⠀⡷⠀⣿⡅⠀⠈⢱⡦⣤⡀⠀⠀⠀⠀⠀⠈⠙⠚⠶⣄⠀⠀ ⠀⠀⠀⢠⢾⠑⣟⣳⡖⢶⣄⣱⡌⣯⣿⣿⣧⡘⢆⢧⡻⠇⣸⢰⠀⠀⠀⠈⠻⢦⣹⣧⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⣿⣮⠶⣠⣿⣿⣇⢸⣱⠢⣄⡀⠀⠀⠀⠀⠀⠈⠑⠀ ⠀⠀⠀⡇⣼⠀⡿⣿⣆⠈⣷⣿⣿⣿⣿⣿⣿⣿⠿⠶⢽⣻⢿⡏⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠀⠸⡜⢧⡀⠀⠀⠀⢀⡾⢱⣿⠀⣿⣿⣿⣿⡀⣇⠀⢸⠈⠑⠢⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⣿⠙⡄⢸⠘⡏⠀⢹⣿⣿⣿⣿⣿⣿⣿⣷⡒⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡄⠀⢹⠀⢳⠀⠀⠈⠁⣠⣟⣽⠀⣿⠏⣿⣽⠃⠈⢇⢸⠀⠀⠐⡟⣢⠤⠄⠉⠉ ⠀⠀⠀⡇⠀⡇⠈⠀⠘⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⡆⠈⠁⠀⠀⣰⣿⣿⣿⠀⡿⢠⡟⡿⡆⠀⠈⢿⠀⠀⠀⠉⠚⠧⣀⡀⠀ ⠀⠀⣼⡇⠀⢀⠀⡇⠀⠘⡄⢸⣿⣿⣿⣯⡛⠿⢿⣿⣿⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⡇⠀⠀⠠⠞⢋⣾⡟⢹⠀⠓⠜⠀⡇⠀⠀⠀⠈⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡞⣴⣇⢀⡼⠂⠓⡄⠀⠸⡄⢿⣿⣿⣿⣿⣷⣶⡒⠬⣉⡋⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣼⣷⠇⠀⠀⠀⢠⠎⣿⠀⢸⠀⢠⠀⢠⢣⠀⠀⠀⡰⠙⣄⠀⠀⠀⠀⠀⠀⠀ ⢸⠋⠁⠀⢹⠧⣀⣠⠇⠀⠀⠰⡸⡿⣿⡟⣿⡻⣿⣟⣶⢮⣝⣢⣝⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⣰⡃⠀⢸⠀⠈⡆⢸⠀⠘⣼⢤⣴⠋⡧⠒⠋⠀⠀⠀⠀⠀⠀⠀ ⠈⠑⡝⠒⠁⠀⡏⠉⠀⠀⠀⠀⠘⣿⠛⠛⠙⠋⠉⠛⠛⠺⠿⠥⣿⣮⠮⠰⡂⠄⣀⡀⠀⠀⠀⠀⠀⠀⢀⡜⢹⢱⡀⠈⡆⢀⡇⠈⣇⠀⠁⢸⣿⡄⢹⡆⠀⠀⠀⢀⣀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⣇⠀⡇⠀⠀⠀⠀⠸⡓⢤⣀⡀⠀⣀⠀⠀⠀⠀⠀⠈⡇⠀⠃⠀⠱⡈⠉⠒⠢⠤⠤⠴⠋⠀⡈⠀⠱⠀⢷⠸⠀⠀⠘⡄⠀⠈⣿⣧⠈⣧⠔⠂⠉⠁⠀⠀⠀⠀ ⠀⠀⢱⠀⠀⠀⢸⠀⢣⠀⠀⠀⠀⠀⢧⠈⢇⢻⣉⡩⣷⣋⣳⡴⠆⠀⠀⠀⠀⠀⢀⠘⣴⣤⣀⠀⠀⠀⠀⣰⠃⠀⠀⢳⠘⡇⠀⠀⠀⢻⡀⠀⢹⣿⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠀⢸⠀⠀⠀⠀⠀⠘⠶⠋⠋⠀⠉⠉⠀⠉⠀⠀⠀⠀⠀⠀⠀⣸⠀⠘⣿⡬⠷⠺⢶⡖⡡⡀⠀⠀⠀⣼⠁⠀⠀⢀⡾⣷⠀⠘⣿⡇⠈⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⡄⠈⡀⠀⠀⠀⠀⠀⣀⢀⡀⠀⣀⣀⣀⣤⣤⣶⢀⠔⢰⠃⡰⠁⢶⣤⠆⠀⠀⠀⠀⠀⠑⢄⠀⠀⢰⣯⣤⣴⡞⢹⠀⠘⡇⠀⢸⢀⡤⠤⠓⠒⠒⠒⠂⠀⠀ ⠀⢤⡀⠘⠄⠀⠀⢇⠀⡇⠀⠀⢀⡠⠊⠙⡏⣿⣿⠹⡄⠀⣿⠞⣡⠋⠲⠃⣼⢁⡀⠀⠈⠀⠀⠏⣳⠀⠀⠀⠀⠙⠦⣸⣷⡈⣿⡇⠈⡶⡒⠃⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠸⠀⢹⢀⠔⠋⠀⠀⠀⢣⡽⠛⠓⠊⣉⠵⣮⣏⣀⡤⠞⠈⡇⠙⣄⠀⠀⠀⡼⣲⠷⣦⣄⠀⢀⡴⣼⡿⣧⢹⣷⠀⣷⣧⠀⠈⢿⠢⡤⠤⢤⡤⠤⠤⠀⠀⠤ ⠀⠘⠀⠀⠀⠀⠀⡇⠀⠀⢃⠀⠀⠀⠀⠀⢰⣶⢻⣿⠁⠀⠀⢹⣿⠀⣷⠀⠀⠀⠀⢸⠀⠀⠸⣰⣡⣤⡤⣍⠻⠏⣴⡿⢡⠟⣿⣾⠋⠹⡼⡇⠀⠈⠆⠃⠀⠀⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠖⡇⠀⠀⠈⢃⠀⠀⠀⠀⠀⣿⠈⣿⡀⠀⠀⢸⣿⡄⢹⡀⠀⠀⢀⣟⢦⡠⢵⣿⡛⣿⡇⢨⣷⢄⡿⣡⣇⢠⡰⡌⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀ ⠀⠀⠤⠚⠁⠀⠀⣇⣄⠀⠀⠈⢣⠀⠀⠀⠀⠃⠀⣯⡇⠀⠀⠘⣿⣇⠸⡇⠀⠰⢿⠀⠹⡙⣾⡿⣿⢯⠁⢉⡆⢀⠷⣹⣾⠀⢰⠃⢀⣠⠔⠙⣧⠀⡄⠀⠀⢀⡠⠛⢆⠀⠀⠀ ⠀⠀⢇⠀⠀⠀⠀⣴⠜⡓⠲⡄⠚⠀⠀⠀⠀⢸⠀⣿⣇⠀⠀⠀⣿⣿⠀⡇⠀⠀⡏⠀⠀⡿⣿⡿⢿⣿⣀⡸⣃⡞⠀⣿⠋⠑⢞⠉⢻⠀⣇⡀⣸⢧⠧⠒⢺⡉⣇⣀⣸⡄⠀⠀ ⠠⣄⣈⡄⠀⠀⠀⠀⠀⣇⠀⠇⠀⠀⠀⠀⠀⢸⠀⣿⡏⠀⠀⠀⢻⣿⡇⣷⠀⢠⠁⠀⡠⠃⠋⠛⠀⠹⡿⠒⢼⠀⠀⡏⠀⠀⠈⠳⡀⡄⢸⢀⡘⣾⣆⠀⠀⡇⢰⡘⣧⠙⡄⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⢸⡀⢸⠀⠀⠀⠀⠀⢸⠀⢿⣿⠀⠀⠀⢸⣿⢳⢸⠀⢸⠀⣰⠁⠀⠀⠀⠣⣈⢻⡀⢸⠀⣾⠋⠀⠀⠀⠀⠘⣇⠈⡿⠁⠘⣟⣆⠀⢠⠘⣷⠘⣧⠹⡄ ⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⡇⠘⢣⠀⠀⠀⠀⢸⠀⣸⣹⢸⠀⠀⢸⣾⠘⣿⠀⡆⢠⠃⠀⠀⠀⠀⠀⠈⢧⠣⠾⢠⣟⠀⠀⠀⢀⣤⣶⣿⠀⠃⠀⠀⠘⣿⡆⠘⡆⢻⢣⠹⣧⠱ ⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠁⠀⠀⠱⡄⠀⠀⠸⠀⡿⡿⢸⠀⠀⢸⣿⣀⣿⣆⢇⠏⠀⠀⠀⠀⠀⠀⢀⣨⡇⠀⢸⠛⢦⣄⣴⣿⣿⣿⣿⡄⢸⠀⠀⠀⠘⣿⣀⠃⠸⢧⣇⠙⡆
⣿⡿⣿⠿⠟⠻⠿⠿⠿⠿⠻⠿⣿⣿⡿⠛⢿⣻⣿⣿⣿⣿⢿⣿⣿⡿⠛⣿⣿⣿⠋⢛⣿⠋⢟⣻⡍⢯⠙⡄⣊⠙⠫⠔⣈⠿⣿⡟⢻⣿ ⣿⡇⠉⠀⠁⠁⠀⠐⢀⠔⠁⠀⡿⡄⠀⠀⠀⣜⡁⢘⠟⢣⢉⡿⡄⠀⠀⠀⣿⡷⣈⠚⠻⠋⠉⠖⡩⢢⠍⡔⢢⠡⣷⠂⠈⠈⠁⠚⠖⢲ ⣧⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣼⠗⢠⣶⣤⣾⣿⠄⠀⠀⢠⣟⡷⡴⠖⠢⣿⣧⠀⠀⠀⠀⠀⢀⣴⣷⣾⣿⣧⠩⠴⢢⢄⡀⠀⠀⠀⢀ ⣿⣧⠀⠂⡌⠑⠮⠀⠔⢱⠀⠐⣇⣠⣿⣿⣿⣿⣿⣶⣶⣶⣾⡮⠋⠀⠀⠀⠈⠋⠀⠀⠀⠀⣏⠾⡟⣿⣻⢿⣹⡖⠈⣳⣿⣿⣷⢴⡀⠦ ⡿⢿⠛⠳⡆⠀⠀⠁⠀⠀⠀⠀⠹⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣄⠆⠀⠀⢯⡎⣭⣮⠧⣯⣒⡑⢷⠾⣿⡿⡡⢆⡙⡒ ⡇⠀⠈⢐⠛⠀⠀⢀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣟⣿⣻⡻⣿⣿⣿⣿⣿⣿⣿⣷⣟⣤⢀⠲⣞⠶⡜⢧⣛⢏⣿⢟⣼⢟⣶⣷⣶⣷⣎⡵ ⣧⣶⣤⣧⢤⣜⣛⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⡿⢟⢛⣻⣿⣿⣿⣿⣿⣷⣿⣻⣟⣾⣳⣌⢻⡹⢾⡠⣈⡟⡽⣌⡻⠼⣿⣿⣷⢿⣶ ⣿⣿⡄⠀⠘⢻⡏⣉⡝⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠙⣬⣼⡟⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠉⢻⢆⢧⠳⣜⣳⢎⡄⣀⣽⣿⠋⠀⡅ ⣿⣿⣤⣦⢼⠾⣿⣶⣼⣿⣿⣿⣿⣯⣾⣿⡋⠁⠀⠀⠀⠀⢸⢹⣽⣿⣿⣿⡽⡄⠀⠀⠀⠀⠀⠀⠈⣏⢎⠏⠉⣱⠫⠞⢻⣿⣿⣿⣴⣧ ⡏⠉⠉⠇⠀⢹⣷⣷⣾⣿⣿⣿⣿⠙⢅⢳⠁⠀⠀⠀⠀⠀⠘⠜⣿⣿⣿⣿⣗⢹⡂⠀⠀⠀⠀⠀⠀⣏⢾⣟⢯⣵⡗⢴⣻⢻⡿⡛⠻⠇ ⣇⣀⣀⡾⠶⢿⣽⣿⣿⣿⣿⣿⣿⣶⣶⠏⠀⠀⠀⢠⠄⡄⡄⠠⠉⢿⣿⣿⣿⣧⠒⠀⠀⠀⠀⠀⣸⡽⣲⣿⣾⣷⡧⠀⢨⣿⣾⣶⣤⡆ ⣿⣿⠙⠒⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⡤⠤⠽⠾⠅⠁⠀⢸⣿⣿⣿⣿⣫⠀⠀⠀⠀⢠⣿⣽⡳⠛⢿⢯⣟⡿⣦⡿⣽⡾⠙⠛ ⣿⣿⠃⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⢀⠀⠀⠀⢸⣿⣿⣿⣿⡿⡄⡀⠀⠀⣾⡿⠞⠁⠀⣊⣿⡾⣽⣳⣿⣿⣄⠀⠀ ⡿⠿⠿⣷⣐⣄⣿⣿⣿⣿⣿⣿⣿⠛⢟⢿⣿⣿⣿⣿⣷⣤⢄⠀⠀⣼⣿⣿⣿⣿⡏⠜⡄⠀⣼⣿⣇⣀⢠⡾⣧⣼⣿⣷⣿⣿⣿⣿⠶⡿ ⡧⠀⠀⢙⡿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠈⢳⢙⢿⣿⣿⣿⣿⣷⠀⢠⣿⣿⣿⣿⣿⡇⠀⠱⣧⣿⠿⣿⣿⣿⣿⣿⢿⣿⡿⠉⣹⣿⣿⣖⡁ ⣷⣶⣤⣏⣧⣿⣿⣿⣿⣿⡿⡟⠀⠀⠀⠀⠙⠊⢿⣿⣿⣿⣿⡶⣼⣿⣿⣿⣿⣿⠆⠀⢀⣿⠈⠀⠉⢻⣿⣿⣿⣚⣿⢷⣶⣿⣿⠿⠻⢷ ⣿⣿⡅⠁⠘⢿⣿⠏⠁⠀⢠⠁⠀⠀⠀⠀⠀⡰⣿⣿⣿⣿⣿⢎⣿⣿⣿⣿⣿⠱⠈⠀⠇⠀⠀⠀⠀⢘⣿⣿⣿⡿⣿⣿⣿⣿⣿⠄⠀⠀ ⣿⣿⣥⣤⣰⣿⡏⠀⠀⣀⠂⠀⠀⠀⠀⢀⡼⢣⣿⣿⣿⣿⣿⢨⣿⣿⣿⣿⡟⡇⠀⠀⠀⠀⠀⢀⣴⣼⣿⣿⣿⠱⠤⢴⢘⣼⣿⣷⣀⣄ ⡟⠙⠉⢟⠉⢙⣇⠄⢀⠌⠀⠀⠀⠀⢀⣾⢧⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⠀⠀⠀⣆⣤⣼⣾⣿⣿⣿⣿⣿⣷⣷⣦⣽⣯⣥⠷⡎⠇ ⣟⢀⠀⣴⣶⣾⣿⡿⠓⠀⠀⠀⠐⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⢀⣿⣿⣿⣿⠟⠛⠛⠉⠀⠀⠀⠉⠙⢿⡺⢩⣶⠁ ⣿⣿⡿⠿⠻⠿⠋⠁⠀⠀⠁⣤⣿⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⣸⣿⣿⡿⠋⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢐⠅⠘⠚ ⣿⣿⠗⡀⠀⠀⠀⠀⠀⠀⢠⣀⠭⠤⣐⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡿⠿⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠈⠀⠀ ⣿⡇⠊⡢⢣⠀⠀⠀⠀⠀⠨⠚⢭⠽⠆⠙⢅⠉⢩⣩⣟⣭⡉⢻⠿⠟⠙⠀⠠⠄⣰⡿⢖⠎⣸⡆⠀⠀⠀⠀⣤⣤⣦⣴⣶⠒⡞⠀⠀⠰ ⣿⡀⠀⠀⠨⠙⡖⡀⠀⠀⠀⠜⣼⠄⠀⠀⠠⣿⣾⠷⠋⠳⢾⣿⡆⠀⠀⠀⢚⡾⠠⠋⠑⠾⣿⡷⠀⠀⠀⠈⠉⠉⠉⠁⠈⠀⢀⠀⠀⠀ ⣿⣿⣷⣦⣤⣤⡐⠁⠀⠀⠀⠐⣿⣷⣶⣷⣶⣿⣷⠀⠀⠀⢰⣿⣷⣾⣿⡔⣨⢯⠀⠀⠀⠰⣿⣿⣦⡀⠀⣀⠀⠀⠀⠀⠀⣤⣼⣶⣾⣷
⠀ ⠀⠀⠀⠀⣾⣿⣿⣷⣄ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣄ ⠀⠀⠀⣀⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⢇⠠⣏⡖⠒⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⢀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⢸⣿⣿⡿⢋⠁⠀⠀⠀⠀⠉⡙⢿⣿⣿⡇ ⠀⠀⠘⣿⣿⠀⣿⠇⠀⢀⠀⠀⠘⣿⠀⣿⡿⠁ ⠀⠀⠀⠈⠙⠷⠤⣀⣀⣐⣂⣀⣠⠤⠾⠋⠁ ⠀
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⠀ ⠀⠀⠀⠀⣾⣿⣿⣷⣄ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣄ ⠀⠀⠀⣀⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⢇⠠⣏⡖⠒⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⢀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⢸⣿⣿⡿⢋⠁⠀⠀⠀⠀⠉⡙⢿⣿⣿⡇ ⠀⠀⠘⣿⣿⠀⣿⠇⠀⢀⠀⠀⠘⣿⠀⣿⡿⠁ ⠀⠀⠀⠈⠙⠷⠤⣀⣀⣐⣂⣀⣠⠤⠾⠋⠁ ⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠤⠤⠤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣤⠶⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⢋⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠙⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠉⠓⠦⣤⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⡄⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀ ⠀⠀⣠⠞⠁⠀⠀⣀⣠⣏⡀⠀⢠⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⡃⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆ ⢀⡞⠁⠀⣠⠶⠛⠉⠉⠉⠙⢦⡸⣿⡿⠀⠀⠀⡄⢀⣀⣀⡶⠀⠀⠀⢀⡄⣀⠀⣢⠟⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃ ⡞⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⢳⢀⣠⠀⠀⠀⠉⠉⠀⠀⣀⠀⠀⠀⢀⣠⡴⠞⠁⠀⠀⠈⠓⠦⣄⣀⠀⠀⠀⠀⣀⣤⠞⠁⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠁⠀⢀⣀⣀⡴⠋⢻⡉⠙⠾⡟⢿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠉⠉⠀⠀⠀⠀ ⠘⣦⡀⠀⠀⠀⠀⠀⠀⣀⣤⠞⢉⣹⣯⣍⣿⠉⠟⠀⠀⣸⠳⣄⡀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠒⠒⠒⠒⠚⠋⠁⠀⡴⠋⢀⡀⢠⡇⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⢀⡾⠋⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠉⠋⠻⣄⠀⠀⠀⠀⠀⣀⣠⣴⠞⠋⠳⠶⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠦⢤⠤⠶⠋⠙⠳⣆⣀⣈⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠤⠤⠖⠒⠒⠒⠒⠒⠲⠤⠤⢄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠉⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⡀⠀⠀⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⣹⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣄⣀⣀⣀⣠⣴⣶⣿⣿⣿⡿⠟⠛⠙⢻⣿⣿⣄⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⢀⣾⣿⣿⠟⠉⠙⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠙⣿⣿⣧⡀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠄⠐⠒⠛⠲⠤⢾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣄⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣧⡀⠀⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣴⣿⡿⣧⡤⠖⠋⠉⡆ ⠀⢀⠞⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⠋⡇⠀⠀⠀⣰⠃ ⠀⡎⠀⠀⠀⣼⣟⣻⣿⣇⠀⠀⠀⠀⣰⣿⠿⣿⣷⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠏⠀⡇⠀⠀⡴⠃⠀ ⢸⠁⠀⠀⠀⣿⣿⣿⣿⡟⠀⠀⠀⠀⢿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠀⢠⠃⢀⠞⠀⠀⠀ ⢘⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⡿⠋⠀⢀⠎⡰⠋⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⢰⣷⣦⡀⠀⠀⢀⣤⣶⡄⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⢸⣀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡄⠀⠀⢀⣀⣠⣤⣶⣿⣿⣿⡿⠋⠀⠀⣠⠏⢸⡁⠀⠀⠀⠀⠀ ⠸⣇⡠⠤⠤⠤⠤⠘⠿⢿⣿⣷⣾⣿⡿⠋⠉⠉⠉⠉⠀⣠⠜⠃⠀⠀⠀⠀⢿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⢀⠜⠁⠀⠈⣇⠀⠀⠀⠀⠀ ⠀⢻⠻⢦⣀⠀⠀⠀⠀⣀⣉⡛⠋⢉⡠⡤⣄⡀⠀⣠⡾⠋⠀⢸⠀⠀⠀⠀⠘⣿⠛⠛⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠋⠉⠁⠀⠀⠀⢀⡤⠞⠁⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀ ⠀⢸⡆⠀⠙⠷⣦⣤⡾⠛⣶⣝⣶⢏⢉⣽⡏⢿⡾⠋⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⠤⠖⠊⠁⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀ ⠀⠸⡇⠀⠀⠀⠈⢻⡇⠂⠛⣿⣧⣼⡾⠋⠁⣾⠃⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⢀⢿⣦⠀⠀⠙⠋⠀⣠⣾⠋⠲⣄⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠛⢹⡀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀ ⠀⠀⣧⠀⠀⠀⣴⠋⠀⠙⠿⣦⣀⢀⣴⠟⠁⠀⠀⠈⠳⣄⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠉⠀⠀⠀⠀⠉⠑⠒⠒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⢠⡞⠁⠀⠀⠀⠀⠈⠛⢟⠉⠀⠀⠀⠀⠀⠀⠈⠳⣄⣇⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡰⠋⠀⠀⢀⣀⣀⣀⣀⣀⠀⠤⠤⠤⢤⢤⠦⠴⠐⠲⠚⠛⠀⠀⠁⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠉⠉⠛⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⠲⠤⠄⠀⠀⠠⠤⠖⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢤⣀⠀⠀⠀⠀⢀⣀⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
。 o ○ ╭◜◝ ͡ ◜ ͡ ╮ ╭◜◝ ͡ ◜◝ ͡ ◝╮ ( thinking ) ( about ) ╰◟◞ ͜ ╭◜◝ ͡ ◜◝ ͡ ◝ ͡ ╮◞◟◞ ╯     ( you! )    ╰◟◞ ͜ ◟◞ ͜ ◟◞ ╯ ♡ search ''aesdesigns'' for more~
╭━━━━━╮ |::::::::::::: /___/ <|:::::::::(。 ●ω●。) し---------し---J ♡ search ''aesdesigns'' for more~
bunch of kaomojis not by me- btw check my suitu acc is 03715369 ∧,,,∧ (  ̳• · • ̳) /    づ You want my heart? ∧,,,∧ (  ̳• · • ̳) /    づ♡ Ok here's my heart ∧,,,∧ (  ̳• · • ̳) U ♡C~ Nevermind, you dont deserve it ∧,,,∧ (  ̳• · • ̳) /    づ♡ just kidding 💗♡ ♡ ♡ ૮꒰ ˶• ༝ •˶꒱ა ./づᡕᠵ᠊ᡃ࡚ࠢ࠘ ⸝່ࠡࠣ᠊߯᠆ࠣ࠘ᡁࠣ࠘᠊᠊° i shoot u >:( ૮꒰ ˶> ༝ <˶꒱ა ./づᡕᠵ᠊ᡃ࡚ࠢ࠘ ⸝່ࠡࠣ᠊߯᠆ࠣ࠘ᡁࠣ࠘᠊᠊°.~♡︎ with love tho- ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⣿⢿⣶⣄⣴⣿⠟⠋⠁⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣾⣿⢳⡽⣎⡟⣾⣻⣯⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣶⣿⡿⢿⣿⣶⣶⣦⣤⣠⣤⣶⣾⣿⠿⠿⠟⢻⡿⣧⢟⣳⣿⣾⣷⣿⣿⡿⣷⣶⣄⣤⣶⣿⢿⡿⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠈⠉⠛⠛⠋⠁⠀⠀⠀⠀⠀⣿⡿⣵⣫⢿⣿⢧⣿⣟⡳⣟⣧⣛⣿⣿⣿⣼⢏⣾⢳⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣟⣶⢫⣟⣻⣿⣿⣯⢳⣛⡶⣛⣾⣿⣟⣿⡿⣎⣯⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣼⡿⣼⣣⣿⣿⣿⣟⣿⣣⣿⣿⣿⣿⣿⢿⣸⣻⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣧⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠉⠀⠀⠙⠛⠛⠉⢿⣾⣳⢭⣯⣷⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠉⠀⢻⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣿⡷⠶⠿⠛⠓ ⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠙⠉⠉⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⡆⠀⠀⠀⠀⢠⣤⣿⣷⣤⣦⣤⡄ ⠀⠀⠀⠀⢿⣧⠀⢀⡀⠀⠀⠀⠀⢠⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡿⠁⠀⠀⠀⠀⠀⢁⣿⡇⠀⠀⠀⠀ ⢠⣴⣶⡾⢿⣿⡟⠛⠛⠀⠀⠀⠀⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⢠⣴⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣼⣿⣀⡀⠀⠀⠀ ⠈⠁⠀⠀⠀⢻⣧⡀⢀⡀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⢻⣧⣮⣼⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠋⠙⠛⡿⠷⠀ ⠀⠀⠀⢀⣤⣶⢿⣿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⢿⣿⣤⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠙⠋⠀⠀⠙⢿⣦⣴⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⠁⠀⠈⠉⠙⢿⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣴⣾⡿⠿⠛⠉⢿⣧⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠰⠟⠋⠀⠀⠀⢀⣬⣽⣿⣿⣿⣿⣿⣿⣾⡾⢿⠿⠿⠿⠟⠛⠛⣿⡿⢯⢿⣿⣄⠀⠀⠈⢻⣷⡄⠀⠀⠀⣸⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣾⣟⠋⠁⣠⣿⣿⡹⡽⣿⣇⠀⠀⠀⠀⠀⠀⠀⣸⣿⣻⢽⡺⣟⣿⣆⠀⠀⠀⠻⣿⣄⣠⣾⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⠟⠉⠉⠘⢿⣷⣰⣿⣿⣼⣷⣟⣾⣻⣷⣤⣤⣀⣤⣤⣾⣿⢏⣷⣯⣷⣭⣿⣿⣧⣠⣤⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⣿⠇⠀⠀⠀⣠⣿⠿⠛⠉⠉⠉⠛⢿⣷⡽⣏⣿⣛⣯⢿⣹⣺⣿⠿⠛⠉⠉⠉⠙⠻⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠙⣿⣯⣶⢻⣼⢳⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣷⣄⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣞⣳⡽⣺⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⢻⣜⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢯⣻⢼⣻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⣏⡾⣭⠷⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣄⡀⠀⠀⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣤⣤⣤⣶⡿⠟⠋⠉⠁⠀⠀⠀⠀⠉⠉⠙⠻⠿⣷⣶⣤⣶⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠤⠤⠤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣤⠶⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⢋⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠙⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠉⠓⠦⣤⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⡄⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀ ⠀⠀⣠⠞⠁⠀⠀⣀⣠⣏⡀⠀⢠⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⡃⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆ ⢀⡞⠁⠀⣠⠶⠛⠉⠉⠉⠙⢦⡸⣿⡿⠀⠀⠀⡄⢀⣀⣀⡶⠀⠀⠀⢀⡄⣀⠀⣢⠟⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃ ⡞⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⢳⢀⣠⠀⠀⠀⠉⠉⠀⠀⣀⠀⠀⠀⢀⣠⡴⠞⠁⠀⠀⠈⠓⠦⣄⣀⠀⠀⠀⠀⣀⣤⠞⠁⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠁⠀⢀⣀⣀⡴⠋⢻⡉⠙⠾⡟⢿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠉⠉⠀⠀⠀⠀ ⠘⣦⡀⠀⠀⠀⠀⠀⠀⣀⣤⠞⢉⣹⣯⣍⣿⠉⠟⠀⠀⣸⠳⣄⡀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠒⠒⠒⠒⠚⠋⠁⠀⡴⠋⢀⡀⢠⡇⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⢀⡾⠋⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠉⠋⠻⣄⠀⠀⠀⠀⠀⣀⣠⣴⠞⠋⠳⠶⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠦⢤⠤⠶⠋⠙⠳⣆⣀⣈⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣤⠶⠶⠶⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⠋⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡶⣴⣤⣄⡀⠀⠀⠀⠀ ⠈⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡄⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀ ⠀⠀⠈⠻⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀ ⠀⠀⠀⠀⠀⠉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠶⠿⣿⣦⠗⠛⠒⣦⣀⠀⠀⠀⠀⠀⠐⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⡇⠀⢠⡇⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠘⠇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⣇⠄⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⠀⠐⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠹⣤⡀⢰⠞⠉⢳⡄⠠⣾⠁⠀⠀⠀⠀⠀⠀⠀⠛⢶⣤⣀⣀⣀⣤⡴⠟⠃⠀⠀⠀⠀⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠠⡏⠀⠈⠓⡶⠊⠀⠀⠘⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠰⣸⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣧⣀⣀⣠⡾⢦⣤⣤⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠀⠈⠉⠁⠀⠀⠀⣀⣀⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀ ⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⡴⠒⠒⣞⣁⡠⠽⠭⢄⣈⣳⣊⡉⠲⣄⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀ ⠀⠀⠀⠀⢸⡇⠀⡴⠋⢙⡵⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠳⢤⣀⣳⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠐⢺⡇ ⠀⠀⠀⠀⢸⡇⡮⢇⡾⠁⢠⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⢹⣄⡀⠀⠀⠀⠀⠀⠀⠈⡇ ⠀⠀⠀⠀⠸⣿⡁⣼⠀⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠈⠳⣄⢹⠦⠀⠀⠀⠀⠀⠀⣟ ⠀⠀⠀⠀⠀⠻⡟⢿⠀⠀⠈⠛⠉⠀⠀⠀⠀⣤⠤⣄⠀⠀⠀⠀⠀⣸⣿⣿⣧⠀⠀⠙⣎⠳⡄⠀⠀⠀⢸⢰⡏ ⠀⠀⠀⠀⠀⠀⠱⣜⣆⡤⠦⠤⣄⠀⠀⠀⠀⠛⠒⠋⠀⠀⠀⠀⠀⢻⣿⣿⡏⠀⠀⠀⢸⣤⠇⠂⠀⢠⢄⡾⠁ ⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠐⣾⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢸⠃⡃⠁⠠⣠⡾⠁⠀ ⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⣼⣦⣤⣠⠦⢄⠙⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⡞⣡⣤⠾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠸⣿⠉⠀⣹⣀⣙⣿⠏⠁⡽⠶⠤⣤⣤⣤⣤⣤⣴⡾⠅⠚⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⠀⠈⠛⣿⠿⣌⡝⠝⡍⣘⣧⣀⣀⣀⣀⣤⣴⣶⣾⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣳⡶⢻⠷⣮⣤⣤⣽⣥⣬⣭⣿⣿⢿⡖⠋⠉⠉⢳⡝⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⣠⢺⣥⣧⣽⢂⡄⠀⠓⠀⠈⢻⡄⠀⠀⠀⠀⣿⣭⣧⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣋⠴⢺⠥⠚⠁⠀⠘⠦⣽⡒⢤⣄⣀⣼⢳⣤⡀⠀⠼⠃⣠⣷⡗⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠯⠜⠉⡏⠀⠀⠀⠀⠀⡄⣧⠉⠙⠲⣾⣯⣯⣏⣳⣶⣴⣾⣻⣉⣽⣵⡦⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠸⠄⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⣿⢄⠀⠀⠀⠀⠀⠀⠀⠉⢉⣽⡶⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠟⢦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢸⡀⠙⠒⠢⢴⣉⡦⠔⠚⠋⢸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠦⠽⣉⣙⣟⠛⣛⠻⢿⠞⠿⡟⠿⣻⠛⣧⠀⠀⠀⠀⠁⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣉⣉⣻⣿⣃⠙⢍⣫⣁⠉⠉⠉⣉⣩⣿⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣤⣉⣉⣿⡀⠉⠛⠛⠧⠜⠛⠛⠛⠉⢡⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠾⠶⠶⠶⠶⠞⠳⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⢠⠔⠚⠒⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠏⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡀⠀⠀⠀⡇⠀⠀⢀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢧⠀⠀⠀⢳⣾⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⠀⠑⡶⠀⠀⠙⠛⠻⠿⣿⣿⣿⣿⠷⠶⠒⠚⠉⠉⠉⠓⡄ ⠀⠀⠀⠀⡼⠁⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⡴⠲⢤⠇⠀⠀⠀⠀⣆⡸⠂⠀⠀⠐⠀⠀⠀⢶⣤⣀⣀⡤⠞⠁ ⠀⢧⡀⠈⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⢈⡷⠒⢆⠀⠀⠀ ⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠁⠀⠀⠀⠀ ⢰⠒⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀ ⠀⠙⠲⠞⠓⠢⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠛⠳⠤⠖⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡠⠤⠒⠒⠲⠤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠁⠙⡮⣂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣢⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣦⣂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠱⣥⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠮⣶⠞⠛⣛⣛⣛⣷⠶⠀⠀⠐⢶⣟⣛⣛⡛⠓⠿⡚⣮⡀⠀⠀⠀ ⠀⠀⢀⢪⠛⠁⠀⣠⣚⣶⣶⡶⡆⡗⠀⠀⠰⡇⣶⣿⣿⣟⡢⠄⠀⠙⣮⢄⠀⠀ ⠀⢀⢦⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣳⢆⠀ ⠀⢨⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠈⢯⠄ ⠀⡬⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⡼⠁⠀⠀⠀⠀⠊⡄ ⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⡦⠤⠤⠤⠤⠤⠤⠴⠒⠋⠁⢰⠇⠀⠀⠀⠀⠀⠀⡇ ⠰⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⢀⣴⠛ ⠀⠁⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢵⠙⠀ ⠀⠀⠀⠀⠩⠗⠲⠤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡤⠴⠶⠚⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠐⠂⠈⠀⠈⠉⠁⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣿⣷⡿⣹⢎⣧⠻⣴⢫⢳⡙⡶⡱⢭⡗⣯⢺⢥⠗⢿⡘⢧⡟⣜⠳⣜⢢⡝⡼⣙⠶⣌⢣⢚⡳⣍⡳⢎⣿⠀⠄⡀⠹⣆⠳⡜⢣⢎⣷⢣⡝⣺⣧⠟⡜⣎⢗⡺⣥⢻⡱⣎⡗⣾⠫⣖⡹⢲⣙⡳⡜⣧⢞⡹⣽⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⣿⣫⢷⢻⣞⣲⢛⣬⢳⡣⡽⣱⡝⡶⣿⣜⡳⡾⠈⠸⣝⡖⣿⡜⡳⣌⠧⣜⠲⣍⠞⣭⢛⡞⡶⢽⡹⣛⡇⢠⣦⠴⡶⠬⢿⣜⢣⡞⣼⣗⣎⣿⢧⣛⢽⣘⢮⡵⢣⣗⡹⢖⡿⣸⡇⠙⢜⣳⠮⡵⣛⡬⣏⠷⣭⣛⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⢿⣯⢞⣵⣻⢮⣟⢮⣛⡶⣭⢫⢖⣫⠵⣗⡳⢮⠵⣿⣎⢷⢧⣤⣵⣯⢞⣹⡮⡕⣎⠳⣜⠳⣌⠻⣔⢫⡇⣟⠶⡹⢼⠑⣋⣶⣶⣿⣿⣿⣿⣧⢞⡴⡿⣾⣿⢎⡳⢮⡹⢶⡹⢳⢎⡽⢎⣷⢣⣽⡀⠀⠑⢧⠈⠳⣹⢎⡿⣱⢏⣾⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⢿⣾⢿⣽⣻⣞⣟⡾⣭⢿⣫⢗⢮⣿⡼⢫⡞⣥⣛⢷⡹⢧⡻⣼⣿⣾⣾⣿⣿⣿⡯⠾⣷⣙⣎⣳⣌⡻⣌⠻⣌⢗⠃⢫⣞⣱⡏⠨⣿⣿⣿⣿⡿⢿⣿⣿⣿⣞⣇⢻⣟⢮⡝⣧⡻⢧⣛⡽⣎⡽⣻⢧⢏⠶⣧⣄⠀⠀⠡⡀⠈⠛⢼⡳⣏⢾⢽⡞⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⢿⡾⣏⣿⣿⣿⣿⣿⣾⣹⣏⣿⡸⣎⢷⣿⡹⣇⠿⣶⢹⡎⣿⢇⡷⣇⣿⣿⣿⠀⣿⣇⣸⠶⣇⣸⣿⠀⠀⠀⠀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣾⣷⣀⠷⢾⣀⣿⠈⢹⣿⣷⡿⣎⡹⣶⠿⣇⡏⣶⢹⡶⣿⢹⡎⣿⣸⡿⣿⣆⢀⠰⡀⠀⠀⠉⠎⢿⣆⠹⢇⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣾⢿⣻⡽⣛⡾⣏⣷⣻⣿⣿⣿⣿⣿⣷⣿⣿⢎⣷⣻⣾⣿⣿⢭⡻⣜⢧⣛⠾⣝⢾⣡⠿⣝⠿⣆⢹⡿⢃⣀⡜⣿⡟⠀⢀⠈⠄⠐⠀⡁⠠⠈⠄⢁⠂⠠⢃⢹⣿⠿⣀⡨⢻⡿⢀⡿⢋⣿⢳⣭⢳⡯⣟⡼⣹⢎⡷⣹⣿⣷⣻⢶⣣⢿⣷⣿⣷⣷⣽⣄⠀⠀⠀⠀⠉⠢⠀⠈⠙⠛⠦⠀⠀⠀⠀⠀⠀ ⠀⠰⣾⣻⡽⢾⣭⡗⡿⣭⢷⣻⢞⣽⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⡻⣼⢣⣏⢿⣹⣾⣱⢏⣟⣦⠛⢶⡿⣴⣤⢶⣻⠞⠀⠠⢀⠀⠂⠄⡀⠄⠠⢀⠀⡀⠁⠀⡑⢿⣣⢦⡶⣽⡷⠏⢠⣾⢭⡳⣮⢿⡱⣏⢾⡱⣏⣾⢿⣿⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣷⣦⣀⡀⠑⢤⡀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠙⠛⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⢸⣿⣿⣼⢳⣎⢷⣣⢟⣿⣿⣼⣚⣷⣄⠈⠉⠉⠉⠀⠀⡀⠁⠀⠂⢁⠎⡄⠐⡀⠀⠄⠐⠈⢀⠀⢀⠈⠉⠉⠉⣠⣴⣟⣧⣿⣿⡻⢧⡻⣜⣧⢻⡼⡱⢂⠉⠛⠻⠿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⠒⠋⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⣼⣿⡿⣿⣷⣮⣳⡝⣮⢳⡟⣿⣿⡀⢀⠠⠁⠂⡀⠄⠁⠠⠐⠀⠄⡈⠒⠀⠄⢀⠂⠀⠄⡐⠀⠂⠠⠈⠐⠀⡁⢀⠀⣾⣿⣟⢷⣹⢳⡝⣾⡼⢫⠜⣡⢻⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡹⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⢿⣟⣿⡿⣷⣿⢮⣷⣹⣳⣻⣿⣦⣤⠀⡀⠀⠀⡈⢀⠀⠁⡀⢀⠠⠀⠂⠀⡀⠈⢀⠀⡀⠌⠀⠁⡈⠀⢠⣴⣿⣻⣳⣎⣿⡼⡷⢛⡧⢜⠢⡙⢤⢛⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⣀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢀⣿⣿⡿⣿⣻⣽⣿⣿⠲⣌⠧⣩⠥⢻⣧⡀⢀⠀⠂⠁⠀⠂⠈⡀⠐⠀⠠⠐⠀⠁⠠⠐⠀⠂⢀⠐⠈⠀⠄⠁⠀⣴⡿⣩⠕⣎⢲⡱⣟⣰⣯⠘⢆⡙⠆⡎⡄⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡤⢶⢺⣽⣞⡿⢷⡟⠙⠿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢸⣿⣟⣿⣿⢿⣿⣿⡿⣱⢎⡳⢥⢯⢣⣿⣷⣄⠄⠀⠌⠀⠂⡀⠄⠂⠠⠀⡀⠄⠂⠀⠄⡁⠠⠀⠄⠀⠄⠈⣠⣾⣿⡷⣱⢫⢖⡣⣕⢻⣼⣿⡩⢆⡱⢊⠴⣁⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡿⠟⢙⡾⢿⣳⣏⡖⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢴⣻⣽⣾⡿⢿⢿⣿⡜⣣⢷⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⣾⣿⣿⣟⣯⣿⣿⣿⣗⣣⢞⡱⣋⢾⣣⣿⣿⣿⣿⣴⡠⠂⠁⢀⠀⠄⠁⡀⠄⠐⠈⠀⠐⠀⢀⠈⠀⣂⣤⣿⣿⣿⣿⠵⣟⡭⣲⢱⢎⡽⣾⣿⣇⠎⡴⡉⢖⡹⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⣸⠞⡯⣿⡿⢿⠷⣷⣽⣛⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣇⣿⣏⣾⣷⣯⢽⣏⠧⣞⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣯⣿⣿⣿⣿⣿⢧⡏⢾⣱⢫⢾⡷⣿⣿⣿⣿⣿⣿⣷⣦⣀⠄⠂⡐⠀⢀⠂⠌⠐⠀⠈⣀⣴⣶⣿⣿⣿⣿⣿⣿⣻⣧⣛⢖⣫⢞⡼⣿⣿⣿⡘⠴⣉⠖⣌⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⢿⣱⡿⣽⣾⣽⢞⣿⡱⡛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡷⢺⣞⣼⣿⢿⣺⣿⡹⣔⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣽⣿⣿⣿⣿⣣⢟⡳⢮⡝⣮⣿⣿⣿⣿⣿⣿⣿⢿⡿⣭⣛⠶⣤⣄⣀⣀⣠⣤⢾⡻⢽⣹⣿⢿⣿⣿⣿⣿⣿⣽⡷⣹⣎⢧⣛⢶⣻⣿⣿⣇⠳⣌⢚⠤⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣝⢲⣽⣷⠽⣿⡟⣎⡯⣵⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡍⣿⣶⣮⣶⠿⣟⠳⣜⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣾⢿⣿⣿⣿⡿⣧⢯⣝⡧⣟⠶⣿⣿⣿⣿⣿⣿⡄⢿⣟⣦⢭⡓⢧⡞⣭⢋⡷⣙⠮⣝⡺⣼⡿⠋⢿⣿⣿⣿⣿⣿⣳⢏⣞⢧⣛⡮⡽⣿⣿⣿⡧⠜⣌⡓⢦⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣎⢧⣛⠿⣿⣴⣽⣾⢱⡝⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣟⡜⣫⠽⣸⣹⣬⡷⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣟⢷⢫⣿⣿⣿⣿⣟⣧⣛⣮⢷⣫⢿⣽⣿⣿⣿⣿⣿⣻⠀⠈⠳⢮⣝⡞⣜⠶⣫⠶⣭⢳⣽⠜⠋⠀⡠⣸⣿⣿⣿⣿⡿⣭⣟⣮⣏⡷⣏⢷⣿⣿⣿⣷⣙⢦⡙⢮⣚⡄⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢶⣭⣞⡴⣩⢝⣋⢞⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⠼⠵⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣟⡳⣎⢏⣾⣿⣿⣿⣿⣳⠾⣵⣫⢾⡽⣳⢾⣿⣿⣿⣿⢯⣫⣻⠀⠀⠀⠉⠛⢼⣣⣳⢿⠒⠉⠀⠀⠀⢾⢳⣉⢻⣿⣿⣿⣟⡷⣽⡖⣯⢾⣭⠷⣾⣿⣿⣿⣯⣲⣙⠶⡭⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠾⠼⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡻⣼⣱⣋⣾⣿⣿⣿⣿⡟⣯⣟⡵⣯⣟⡾⣽⣫⡾⣿⣿⣻⢁⡇⠁⠀⠀⠀⠀⣰⢃⣿⣿⡌⢧⠀⠀⠀⠀⠈⠙⡎⣓⠻⣿⣏⣯⣟⢾⣹⣧⣟⢮⣟⢿⣿⣿⣿⣿⣷⣎⡟⣭⣳⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣳⢻⡵⣣⣿⣿⣿⣿⣿⡿⢻⠘⠯⣽⡇⠙⣾⡳⢯⣷⠹⡉⢹⠨⡇⠀⠀⠀⠀⢠⠇⣼⣿⣿⣷⡈⣆⠀⠀⠀⠀⢠⡇⢫⠉⡟⣸⠷⣞⣯⠟⢸⡽⡾⠍⢸⠛⢿⣿⣿⣿⣿⣞⣳⣭⢷⡻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣟⣧⢿⣹⣾⣿⣿⣿⣿⡿⣻⡆⢸⡆⠀⠙⠧⠀⠈⠙⠷⣽⡆⠙⣽⡄⢳⡀⠀⠀⣠⠏⣼⣿⣿⣿⣿⣷⡘⣆⠀⠀⢀⣼⢁⣧⠞⢠⣟⡯⠓⠁⠀⡸⠋⠀⢀⡿⠀⣸⣿⢿⣿⣿⣿⣷⣞⣷⡻⣝⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢻⣮⡽⣾⣿⣿⣿⣿⡿⣫⣾⢩⣿⡀⢿⣄⠀⠀⠀⢀⠀⠀⠀⠉⠀⠈⠻⣄⣻⣶⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⡞⣡⡾⠁⠀⠊⠁⠀⠀⢀⠀⠀⠀⢀⣾⠁⢰⡿⣌⠿⣝⣿⣿⣿⣿⣾⣽⣛⡾⣽⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣀⣀⣀⣤⣴⡾⣟⣿⢺⣿⣾⣿⣿⠟⢻⡝⣷⣙⣦⡟⣇⠞⣧⠘⢻⣶⣄⠀⠈⢷⣤⣀⠠⣄⡀⠀⠉⠛⠿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠿⠓⠉⠀⠀⣀⠤⣀⣠⣶⠃⠀⣠⣶⡿⠃⢠⣿⢓⡾⣟⢬⣳⣎⣿⠛⢿⣿⣿⣽⣳⣟⣾⣳⣦⣤⣄⣀⣀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠯⢷⣿⣽⣾⠿⢿⣿⣿⣿⡆⠈⣿⡹⢏⡳⣼⢾⣍⣻⣇⠈⢻⣿⣻⢦⣈⡻⣿⣿⣿⣽⣿⣷⣶⣾⣿⣿⣿⣿⣿⡻⣟⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣟⣝⣁⣤⣾⡿⣿⠁⢀⣿⢣⣿⣔⢯⢺⠟⣼⠇⢀⣿⣿⣿⡿⠿⢿⣶⣿⣾⡽⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⠀⠸⣿⣸⡿⢣⠟⡧⣄⢿⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⡼⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡿⠿⠟⠃⣸⠇⠀⣿⡻⢜⠿⣸⢿⣜⣻⡟⠀⣼⣿⣧⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡛⣾⣧⠀⢹⣶⢻⣍⡞⣱⣾⢫⣵⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣾⣿⣿⢿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣻⣿⣷⡀⠀⣰⠏⠀⣼⣏⢷⣏⡞⣡⣾⢧⡟⠀⣰⣿⣚⢿⣻⣾⡽⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⡿⣿⡵⣫⣵⣿⣿⣧⠀⠻⣭⢿⢞⣟⣵⡛⡜⣧⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⣿⣿⡟⣿⣿⣟⡿⢿⢿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣷⣰⠏⠀⣼⡟⡬⡳⡿⡻⣿⢣⡿⠀⣰⣿⣿⣏⢞⣧⣿⣻⡿⣯⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣾⣭⣝⣼⣷⣿⣿⣿⣿⣧⠀⢻⡜⡞⠸⣦⣹⣜⡹⣧⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⢭⠾⣷⣹⢿⣿⣿⣿⣾⡿⢿⣽⠾⣎⣿⣿⣿⣷⣿⣿⣿⣿⣿⠏⠀⣼⡟⣘⣶⣩⠇⢱⢎⡿⠀⣰⣿⣿⣿⣿⣿⣶⣌⣧⣿⣿⣽⡿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢻⡗⣄⠀⠈⣿⡴⡹⣧⡀⠘⣿⣿⣿⣿⣿⣿⡟⣧⣯⢿⣯⠿⠛⢉⣭⣉⠛⣿⡟⢿⡻⣭⣽⢻⣿⣿⣿⣿⣿⣿⠏⠀⣼⡟⢬⣿⠁⠀⢀⣼⡿⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣟⡶⣶⣤⣤⡀⠀⠀⠀⠀⠀ ⠈⢻⣳⡽⣯⣟⣿⣻⢿⣻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⢿⣜⡆⠀⢻⢣⣓⢹⣷⡀⠸⣿⣿⣿⣿⣟⣝⣲⣫⡿⠁⠀⠀⠹⠿⠟⢀⣿⡟⠀⠙⣯⣞⣧⣹⣿⣿⣿⣿⠏⠀⣼⡟⠼⣩⡻⠀⠀⣟⣾⠃⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⡾⣟⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣽⣳⢯⣞⣿⣿⢿⣹⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠈⢿⠁⠀⢸⣣⠊⠉⠁⠈⠢⣹⣿⣿⡿⡿⣯⣿⣿⡇⠀⠈⠐⣀⣤⣶⡿⠋⠀⡐⠀⣹⣿⣻⢿⡝⣿⣿⣏⡰⠋⠀⠉⠙⢲⣇⠀⠀⣿⠃⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⠻⣟⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⢽⣞⣽⢧⢇⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⡜⠀⢀⡾⠃⠀⠀⠀⠀⠀⣿⣿⣿⣷⣷⣿⣿⣿⡆⠠⣸⣾⡟⢋⣁⠠⢀⠂⡄⠐⣼⣿⣿⣿⣷⣿⣿⣿⠀⠀⠀⠀⠀⠘⢻⡄⠀⢸⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡟⡜⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⢺⡜⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠃⠀⣼⠁⠀⣼⢛⣳⠀⠀⣿⣿⣿⣿⣿⡟⢿⣼⢷⣥⢿⣿⡜⣿⣿⡟⣤⢓⣬⣽⢯⡟⡟⣿⣿⣿⣿⣿⠂⠀⡼⡛⣷⠀⠀⣿⡀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡟⡜⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⢣⠞⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⡟⣧⡤⡼⡣⢽⠀⠀⣿⣿⣿⣿⣿⣿⣱⡚⣿⣝⡯⣿⣿⡶⢧⣟⣶⢿⣻⡽⢏⣽⣼⣿⣿⣿⣿⣿⠄⠀⢻⡑⢯⣤⡴⢏⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡟⢬⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀
Me when I actually make a kaomoji: /\ /\ ( ・V・ ) It’s ALIVE! IT’S ALIIIIVE!! _ /\__/\ \ l )’ ‘) \ .-’ / O | (,_,/’i,_,)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠿⠿⠛⠿⢿⣿⣷⣄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⢿⣿⣶⣶⠶⠶⠶⣶⣶⣦⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠿⣷⣶⣤⣤⣄⣠⣴⣶⣾⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⣄⢀⡀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⠿⠛⠛⠛⠿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣇⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⡀⣾⡿⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠶⠟⠛⠛⠛⠛⠛⠛⠻⠶⢦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦ ⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⢀⣴⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣄⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⢸⣿⣿⣷ ⠀⠀⠀⠀⠀⠂⣿⡟⠀⠀⠀⢰⣿⠏⠀⠀⠀⠀⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⢻⣧⡄⠀⠀⠀⠀⢸⣿⣿⣧ ⠀⠀⠀⠀⢀⣼⣿⠁⠀⠀⢠⣿⣿⡇⠀⠀⢀⣾⡟⠁⣀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⠀⠀⠀⠀⢺⠀⣿⣳⠀⠀⠀⠀⢘⣿⣿⡇ ⠀⠀⠀⢀⣾⡿⠁⠀⠀⢀⣾⣿⣿⢀⠀⠀⢸⣿⣳⢃⢃⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠈⠀⣿⣧⠀⠀⠀⠀⠈⣿⣿⡇ ⠀⠀⣠⣿⠏⠀⠀⠀⠀⢸⣿⣿⣿⠈⠂⢰⢼⣏⣹⡜⠻⣿⣿⠟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡷⢤⠀⠐⡆⣿⠀⠀⠀⠀⢀⣿⣷⠀⠀⠀⠀⠀⣿⣿⠁ ⠀⣴⡿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠈⢺⣿⡘⢿⣿⣿⠇⠀⠀⠀⠰⣿⣶⣦⣤⣠⣄⠀⠀⠀⣸⣿⣿⣇⡀⠀⠀⢰⣿⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⣻⣿⠁ ⢰⡿⠁⠀⠀⠀⠀⠀⠀⠸⣧⠛⢿⣶⣀⣠⣬⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠛⠋⠀⣠⡶⠟⠉⠉⠉⠙⠛⢀⣾⠏⠀⠀⠀⠠⣦⣿⠀⠀⠀⠀⠀⠀⢹⣿⡄ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣤⣿⣿⠿⠉⠈⠙⢿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠋⠀⢀⣠⣶⠾⠻⠷⣿⣿⣄⠀⠀⢀⣾⡿⠃⠀⠀⠀⠀⠀⠀⠰⣿⡇ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡟⢻⡟⠀⠀⠀⠀⠀⠮⣝⢻⣷⣶⣤⣤⣤⣤⣴⣤⣤⠀⣀⣠⡶⠟⠉⠀⠀⠀⠀⠀⠈⣿⣷⡀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿ ⢻⣷⡄⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡜⠁⠀⠀⠀⠀⠀⠀⢹⣿⢿⣦⣿⠉⠀⠀⠀⠈⠹⣿⣿⢿⠆⢀⡀⠀⠀⠀⢀⣠⣾⠏⢹⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿ ⠀⠹⢿⣆⠀⠀⠀⠀⠀⢾⡏⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢰⣷⣼⢻⣾⠀⠀⠀⠀⠀⢀⣿⠷⡈⠀⠀⠈⠓⢀⣸⠋⠁⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠈⠻⢶⣄⡀⠀⠀⠀⠁⠀⢹⣿⣷⣤⣤⣤⣤⣤⣾⣏⡁⠚⠀⢻⣦⣀⣀⣀⣠⣾⠏⠀⠳⡄⠀⠀⣰⣾⣿⣛⣛⢶⣶⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐ ⠀⠀⠀⠀⠀⠉⠛⢻⣿⣶⣤⣶⣿⣿⡿⠋⠉⠉⠀⠉⠙⢿⣆⡀⠀⠀⠈⠋⠙⠛⠉⠁⠀⠀⠀⣩⣶⡿⠟⠛⠉⠉⠛⣿⣿⣛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⣀⣀⣀⣼⣿⣿⣿⠿⠋⠀⠀⠀⠴⠶⢤⡄⠈⠛⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠉⠀⠀⠀⠀⢀⠀⠘⠟⢻⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿ ⠀⠀⠀⠢⠰⠿⠿⠿⣿⠿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢹⡖⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠙⣶⡄⠀⢻⣿⣷⣤⣄⣀⣀⣀⣀⣀⣴⣿⣿⡿ ⠀⠀⢀⣷⣶⣶⣿⣿⣿⣿⣿⣏⠀⠀⠀⢀⡀⠀⠀⢀⣼⠟⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⢀⠀⠀⠀⠀⠀⠈⣷⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁ ⠀⠀⠈⠛⠛⠛⠋⣉⣉⣿⣿⣿⣦⠀⠀⠠⠼⠳⠿⠛⠁⠀⠀⣠⣿⣷⣦⣶⣶⣮⣵⣦⣾⣟⡀⠀⠀⢻⣦⣀⣠⣀⣤⡾⠏⠀⠀⣼⣿⣿⣿⣿⣿⠿⠿⠟⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⢿⣿⠿⠿⠿⠿⢷⣶⣤⣤⣤⣠⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⣠⣉⣉⡉⣁⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⢿⣿⠿⠿⠿⢿⡿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠟⢻⡿⢻⡿⢉⣤⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⠶⠶⠶⠶⠦⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠾⠟⣿⣿⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢶⣤⣠⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠉⠀⠀⠸⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣀⠈⠙⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠈⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⢀⡿⠁⠀⠀⣰⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⠟⠋⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠐⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡇⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠉⠁⠉⠈⠉⠀⠀⠀⠀⠀⠀⣠⢤⣀⠀⠀⠀⠀⠀⠉⠿⠿⠁⡀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣄⠀⠀⠀ ⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣄⠤⠠⠐⢀⡀⠀⠀⠀⠀⠀⠋⠁⠉⠁⠀⠀⠀⠀⠀⠄⠀⠀⠀⢁⠀⠀⣼⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀ ⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠻⢶⣤⣴⡾⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⣤⠀⠜⣀⣴⠟⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⠀ ⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⣿⠃⠀⠀⢸⡟⠳⠶⠶⠶⢦⣶⣴⣶⣴⣶⣶⣿⠉⠀⠹⣷⣿⣿⣥⣄⡀⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⢿⣆⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠀⢀⣿⠟⠉⠉⠉⠛⣷⡄⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇ ⠘⢷⣄⡀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠃⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠿⣷⡀⠀⠀⣀⠀⠈⣿⡄⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⣀⣼⠏⠀ ⠀⠀⠉⠛⠷⠶⠶⠶⠶⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⣤⣴⠏⠀⠀⣽⡇⠀⠀⠀⠈⠛⠿⠶⠶⠶⠶⠿⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡾⠋⠀⠁⠀⠀⠀⠀⠀⢀⣾⠛⠉⠙⠓⠀⠀⢀⣴⠟⠛⠿⠾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠐⢶⣶⣶⣶⣶⣾⣿⡀⠀⠀⢶⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣀⣠⡿⠁⠀⠀⠀⠀⢹⣇⡀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀૮₍˶ •. • ⑅₎ა ♡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠛⠛⠛⠛⠳⠶⣤⣄⠈⠉⠙⠛⠳⢦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⢠⠞⢱⠀⠀⢠⠤⡍⠻⣦⡀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠟⠁⠀⢔⠑⢄⡀⠧⠔⠁⠀⠀⢸⠀⡇⠀⠈⢿⡄⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠃⡀⠀⠀⠀⠑⠄⠅⠀⠀⠀⠀⠀⠈⠒⠁⠀⠀⠀⠻⣆⣀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⡟⠑⠶⠃⢀⣴⣦⣄⠀⠀⠀⣠⡶⢶⣄⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢶⣄⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀ ⠀⢠⡟⠀⠀⠀⢰⡟⠁⠀⢻⣦⣤⣴⡟⠀⠀⠙⢷⡄⠀⠀⠸⢄⡈⠐⡄⠀⠀⠙⢷⡀⠀⠀⢻⡄⠀⣠⣦⣤ ⠀⣿⢡⣤⣄⣠⡟⠀⠀⠀⠘⠛⠛⠛⠀⠀⠀⠀⢈⣿⣦⣤⡄⠀⠈⠉⠀⠀⠀⠀⢸⡇⠀⠀⠘⣷⣰⡟⠻⣿ ⣸⡇⢨⣤⣤⣿⠃⠀⢸⡷⠀⣼⣷⡄⢸⣷⠀⠀⠸⠿⢿⣶⡄⠀⠀⠀⢠⠖⢢⠀⢠⡇⠀⠀⠀⣿⠿⣿⣿⠏ ⣿⢀⡀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠰⣅⡴⠁⠀⣸⠇⠀⠀⠀⢸⣧⡿⠃⠀ ⣿⠤⠸⠂⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⢸⡇⠀⠀⠀ ⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⠇⠀⠀⠀ ⣿⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⣀⠀⠸⣇⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⢻⡄⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⢠⡊⣡⠜⠃⠀⢹⡆⠀⠀⢠⡿⠀⠀⠀⠀ ⠘⣷⠀⠀⠀⠀⣽⠟⣿⣀⣀⣀⣀⣀⣴⠾⣖⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣼⠃⠀⠀⠀⠀ ⠀⢻⣖⢂⡆⠀⠙⠿⠋⠉⠉⠉⠉⠙⠿⡼⠏⠉⠀⠀⠀⠀⣖⠐⠢⢄⠀⠀⠀⠀⣸⡇⠀⣰⡏⠀⠀ ⠀⠀⠀ ⠀⠀⢻⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠊⠀⠀⢀⣴⠟⠀⣰⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣧⡀⠀⠀⠀⡎⠱⡄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡶⠾⠛⠁⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣦⣀⠀⠘⢆⡸⠀⠀⠀⢠⠋⣠⠃⠀⠀⣠⡾⠋⠀⠀⠀⠀⣠⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠳⢦⣤⣀⡀⠀⠀⠈⠉⠀⠀⢀⣴⠟⢀⣀⣤⣤⠶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠶⠶⠶⠾⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠋⠁⣄⣤⡞⠙⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣄⣠⡶⢉⡉⠉⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⠔⠲⠒⠛⠻⡹⠉⠇⠀⠀⠀⢠⣿⠿⡄⠂⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢨⣿⣻⠀⠀⠹⡳⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠁⢻⣆⠤⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡀⣴⡿⠕⣿⡇⠀⠰⠁⢝⡯⠉⠹⢿⠛⠳⠶⣤⡀ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡁⠀⠀⣏⠆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣬⡿⡁⠀⢹⡵⠀⠀⠀⠈⠜⠀⠀⠀⠀⠀⠀⠈⣿ ⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠇⠃⠀⠀⢹⠄⣸⣿⣉⣭⣭⣭⣿⢿⣭⣭⣭⣭⣭⣽⣧⢐⢾⣯⠁⠀⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠈⢧⠀⠠⠀⠀⠀⠀⠀⠀⣀⣍⣟⠂⠀⠀⣀⣼⣿⣷⣿⣿⣿⣿⡫⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⡃⠀⠀⠨⢹⡚⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⢨⠜⣴⣤⣶⣿⣿⣻⣿⣿⣿⣿⠟⡩⢻⠃⠀⠙⣿⣿⣿⣿⣿⡿⣿⣿⣿⣧⣤⡀⠀⣧⠈⠄⠄⠀⠀⠀⠐⠠⡀⣨⡟⠀ ⠀⠀⢠⣟⣦⣤⣤⣴⣶⣿⣿⣾⣿⣿⣿⣿⢯⣿⣿⣿⣿⣫⠞⠀⣼⡇⠀⠀⠙⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣍⢇⡀⡀⠀⠀⠀⠀⢠⣴⠋⠀⠀ ⠀⠀⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣸⣿⣿⡿⡿⠁⠀⠀⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⢣⢹⣿⣿⣿⣹⣿⣿⣿⣿⣶⣿⣵⣶⣾⣿⠁⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠉⣿⣿⣿⡟⠙⠀⠀⠀⡇⠀⠀⠀⠀⠰⢻⣿⣿⣿⡉⢿⢿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⠁⢠⣿⣿⠏⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⡠⠈⡞⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⡿⣃⣤⣼⣿⣯⣤⡄⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⢀⣙⣿⣧⣤⣸⡸⣿⡇⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⣟⡟⢸⣿⡿⢋⣵⣾⣿⣿⣶⣅⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢟⣽⣿⣿⣮⣍⠻⣿⣇⠸⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⡂⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡻⢀⣾⣏⢢⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣧⢺⣿⣆⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣟⠇⣼⢷⠃⣸⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡎⠀⢿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡏⠀⣿⡌⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣧⡘⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣷⠀⣿⡅⠀⢿⣿⣿⣿⣿⣿⣿⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⡯⠁⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠻⣷⠀⠘⡏⠉⣻⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡇⠀⣿⣿⣿⣿⣿⡁⢀⣾⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠑⠠⠸⠿⣿⣿⣿⠟⠁⢀⣀⡤⣤⣤⢤⡤⢄⣤⣀⡀⠹⢿⣿⣿⣿⣿⡋⠀⠛⠋⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⣴⣯⣷⣫⠥⣄⣭⣿⢿⣭⡑⢦⣄⠉⠉⠁⠀⠀⠀⠀⡞⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣛⢐⢶⣿⣿⡿⢿⣿⣿⢿⣿⣷⡷⡠⡅⡽⢆⠀⠀⠀⠀⠀⠀⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⡣⣤⣴⣽⠟⢹⠛⣿⣿⣿⡿⠿⠻⣽⢿⣓⡉⣻⡆⠀⠀⠀⠀⢀⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣾⣿⠾⡖⠛⠛⠛⠢⠤⣠⣳⣋⣶⣲⣿⠃⠀⠀⠀⠀⣞⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠂⠚⠋⠁⠀⠉⠉⠉⠉⠁⠀⠀⠀⣠⣮⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⠤⣄⣀⠀⠀⠀⠀⠀⢀⣠⡴⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣯⣵⣷⡀⠀⠈⠉⠉⠛⠛⠋⠉⠀⠀⠸⣯⡙⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⠿⠋⠸⣾⠃⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⢡⣷⡏⠘⢿⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠒⠉⠀⠀⠀⠀⢿⠁⠀⠀⠀⠉⠒⠂⠀⠀⡀⡀⡠⢸⣹⠁⠀⠀⠙⠲⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢁⡇⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⠀⡼⡄⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡿⣿⣿⡇⠁⠀⠀
⠀⠀⣀⡤⠖⠒⠒⠦⣄⠀⠀⢀⡤⠶⠒⠲⠤⣄⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠈⢷⣰⠋⠀⠀⠀⠀⠀⠈⢧⠀ ⢠⡇⠀⠀⠀⠀⢰⣿⣦⢸⡏⢰⣶⣶⠀⠀⠀⠀⢸⡆ ⠀⣇⠀⠀⠀⠀⠈⠛⠉⣸⢻⡈⠙⠋⠀⠀⠀⠀⣸⠃ ⣰⠋⠢⣄⣀⣀⣀⣤⠞⠁⠀⠑⠤⣄⣀⣀⡤⠞⢳⡀ ⡏⠀⠀⠀⢌⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢠⠀⣧ ⣇⠘⢄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⢁⡏ ⠘⢦⣀⠀⠀⠘⠲⣄⡀⠀⠀⣀⡤⠖⠁⠀⠀⣠⠞⠁ ⠀⣠⠼⢛⡷⣲⣶⠶⣿⣶⣾⡯⢤⣴⠶⡖⠯⣅⡀⠀ ⠾⡅⢀⡞⢠⣿⡿⠀⢿⣿⣿⠇⠸⣿⣇⠙⡄⠀⡽⠀ ⠀⠑⢾⢀⣾⣿⠇⠀⢸⣿⣿⠀⠀⣿⣿⡄⢹⡖⠃⠀ ⠀⢠⡞⣉⣙⠛⢓⡒⠚⣻⡛⠓⢒⠛⠛⣛⠛⣧⠀⠀ ⠀⠀⠉⠉⠈⠛⠋⠉⠚⠁⠙⠚⠉⠛⠊⠉⠉⠉⠀⠀
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⠀⠀⠀⠀⠀⡾⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⠁⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠈⢳⣄⠀⠀⠀ ⠤⠒⠚⠁⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠙⠒⠂⠤⠐⠒⠋⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠈⠓⠒⠤ ⠀⠀⣀⡤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⡀⠀⠀⠀⢀⣠⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢤⣀⠀⠀ ⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠒⠋⠉⠉⠉⠓⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠚⠉⠉⠉⠙⠒⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⣀⠀⠀⢀⡀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢀⡀⠀⠀⣀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⣿⡄⠀⣾⡇⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⢸⣧⠀⢰⣿⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⣀⡀⠀⠀⢿⠁⠀⢹⠇⠀⠀⣠⡄⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⢀⣀⠀⠀⠸⡏⠀⠈⡿⠀⠀⢀⣤⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠙⠲⠤⢀⣀⠠⠴⠚⠁⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠈⠓⠦⠄⣀⡀⠤⠖⠋⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⡀⠀⠀⠀⠀⠀⣀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⣀⠀⠀⠀⠀⠀⢀⣀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠒⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⠒⠒⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠒⠒⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⠒ ⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠉⠀⠀⠀⠀ ⠀⣾⡆⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⣾⡆⠀⢸⣧⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⢠⣿⠀ ⠀⣿⡇⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⢿⡇⠀⢸⡿⠀⠀⢀⡀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⣀⠀⠀⠸⣿⠀ ⠀⠈⠀⠀⠘⣹⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢹⡟⠀⠀⠈⠀⠀⠀⠁⠀⠀⢙⡏⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⣏⠁⠀⠀⠉⠀ ⠀⠀⠀⠀⢠⠏⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠹⣄⠀⠀⠀⠀ ⠀⣀⣠⠔⠃⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠛⢤⣀⡀⠀⢀⣀⡤⠚⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠘⠣⣄⣀⠀ ⠁⠀⠀⠀⣀⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢤⡀⠀⠀⠀⠉⠁⠀⠀⢀⡠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣀⠀⠀⠀⠈ ⠤⠤⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠢⠤⠤⠤⠔⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠤⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠤⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⣶⠀⠀⣰⡆⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⢰⡆⠀⢀⣶⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⣿⠇⠀⢿⡇⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⢸⡿⠀⠸⣿⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢲⠦⠀⠀⠙⠀⠀⠘⠁⠀⠀⢺⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠐⡶⠄⠀⠈⠃⠀⠀⠋⠀⠀⠐⡟⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠙⢦⣀⠀⠀⠀⠀⢀⣠⠞⠁⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠈⠳⣄⡀⠀⠀⠀⠀⣀⡴⠋⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠈⠉⠐⠒⠈⠉⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠉⠁⠒⠂⠉⠁⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⠤⢄⣀⣀⣀⡤⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⠤⣀⣀⣀⣠⠤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀ ⠀⠀⠉⠓⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠋⠁⠀⠀⠀⠈⠙⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⠁⠀ ⠀⣤⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⢠⡄⠀⢀⣄⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⢀⣄⠀ ⠀⣿⡇⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⣿⡧⠀⢸⣿⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⢸⣿⠀ ⠀⠿⠁⠀⢠⣶⡆⢨⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⢴⡦⠀⠀⢹⡇⠀⠘⣟⠀⠀⣠⣤⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠱⢠⣤⡄⠀⠘⡟⠀
( ꩜ ᯅ ꩜;) ᵎᵎᵎᵎᵎᵎᵎᵎᵎᵎִ ࣪𖤐
⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀ ⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠁⠩⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡁⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⠉ ⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢫⣿⣿⣿⣿⣇⢹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⣠⣀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⢂⣠⣤⣴⣿⣿⣿⣿⣮⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠕⠶⡿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠋⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣿⣯⣽⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⢹⣯⣴⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⢻⡇⠀⠀ ⠀⠀⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⡉⠻⢿⣿⣿⡿⠟⡀⠐⠐⠀⢀⣿⣿⡿⠿⠛⠙⠻⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢁⣼⣿⣿⣿⣿⣿⣿⡇⠀⢳⠀⠀ ⠀⠀⠋⠁⣼⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⡷⠁⢱⡶⣄⠮⠒⢀⠀⠀⠉⢀⡀⢀⣀⣤⣤⣿⠿⠿⠟⢿⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠃⠀⡼⠃⠀ ⠀⠀⠀⠀⣧⠀⣹⣿⣿⣿⣿⣿⣿⣿⣷⡇⠈⠔⡀⠒⣉⢘⠔⠀⠀⠐⢠⠍⡈⠈⠙⡹⡟⡿⢯⣷⡏⠀⠀⠀⠀⢀⠀⣀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡴⠟⠁⠀⠀ ⠀⠀⠀⠀⢹⣇⡀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣧⠰⠠⢨⠁⠀⠌⠀⠀⢂⠀⠑⠀⠷⠾⠿⠿⠿⠿⠛⠃⠀⠐⡀⡀⡀⡠⡀⡠⠠⠄⠈⢽⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠷⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣀⠂⢀⠀⠂⠐⠐⠐⠁⠂⢀⠀⠀⠄⢀⢀⢂⡤⠂⣄⠇⢄⢳⣠⢖⢮⡦⠀⣤⣿⣿⠿⠛⠉⠛⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡛⠪⠤⠐⠈⠀⢱⢔⠀⠁⡉⠀⠑⠁⠀⠤⣢⡴⢴⣢⣡⣶⠕⢟⣴⠷⠪⠑⠜⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠘⠻⣿⡏⠙⠿⣷⡀⠀⠀⠀⠰⠀⠶⠄⠳⡡⠭⠊⠒⠐⢳⠶⢯⠀⠚⢀⣑⠚⡈⠀⢀⣈⡴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⣾⣾⣶⣤⣀⣁⡁⡂⠙⠐⢠⠠⢈⢀⣈⣀⣄⣷⣷⣶⣶⣒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣷⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠙⢿⣧⣾⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡶⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⢀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠦⣤⣤⣯⣤⠼⠛⠛⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠦⠤⠤⠤⠴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⣿⣟⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣟⠘⡧⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣽⣤⣴⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣞⡿⢳⣎⡟⡷⡄⠀⣠⣶⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣦⣶⡤⣀⣠⣺⢯⣷⣿⠓⢸⡳⠋⠉⠁⣠⡿⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣟⣷⣻⢯⣟⣽⣿⢯⡝⡷⣤⣄⠀⠀⡰⣯⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢟⡿⠵⣿⣾⣿⣹⡾⠊⠁⢈⣿⣣⣰⣿⡽⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣜⡀⠀⠀⠙⣋⣁⣴⣳⡀⣸⣿⣧⣿⣷⣿⣇⠀⠀⠀⢀⣾⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢷⣶⣿⡏⢹⠿⢻⣷⣿⡿⣿⣿⣿⣿⡟⢷⡄⣴⡿⡾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⡄⣀⠀⠀⢀⣹⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣯⣷⣟⡻⣿⢿⡯⣿⢳⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣷⢷⠛⣭⣇⠻⣬⢂⠷⣄⣓⢻⣿⣿⣿⣿⣿⣿⣿⠙⠾⣭⡷⣭⢫⡗⡤⣀⠀⠀⠀ ⠀⢀⣬⣿⣿⣿⣿⣿⣿⣿⣻⣿⣮⣿⣾⣿⣿⣿⣿⣷⣯⣗⣻⣿⣿⣿⣿⣿⣷⣿⠁⢰⢿⣱⢯⠿⡿⢷⣯⣽⣒⡄ ⢠⣾⣿⣿⣿⡿⣫⢗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣀⡷⡿⠛⠈⠳⠇⠀⠀⠀⠀⠀ ⢾⣿⣿⣿⡟⣼⢣⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣿⣿⣽⣮⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠉⠁⠉⠙⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠀⠀⠀⠀⠀⠀⠀⡀⢴⢸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⡐⢢⡙⣎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣟⣿⡇⠀⠀⠀⠀⠀⢀⠰⣈⠶⡹⣜⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠰⣀⠳⣬⠻⣵⡉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣽⡇⠀⠀⠀⢄⠣⣜⡳⣭⣛⢶⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣿⣿⣿⣇⠀⠀⠰⣈⠷⣭⣳⣷⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⣤⣴⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣾⣻⣞⠆⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⣽⢻⡜⢣⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣽⣳⣬⣹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠋⠿⢟⣿⣿⠿⠿⠿⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⠶⠶⠶⠶⠦⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠾⠟⣿⣿⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢶⣤⣠⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠉⠀⠀⠸⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣀⠈⠙⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠈⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⢀⡿⠁⠀⠀⣰⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⠟⠋⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠐⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡇⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠉⠁⠉⠈⠉⠀⠀⠀⠀⠀⠀⣠⢤⣀⠀⠀⠀⠀⠀⠉⠿⠿⠁⡀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣄⠀⠀⠀ ⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣄⠤⠠⠐⢀⡀⠀⠀⠀⠀⠀⠋⠁⠉⠁⠀⠀⠀⠀⠀⠄⠀⠀⠀⢁⠀⠀⣼⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀ ⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠻⢶⣤⣴⡾⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⣤⠀⠜⣀⣴⠟⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⠀ ⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⣿⠃⠀⠀⢸⡟⠳⠶⠶⠶⢦⣶⣴⣶⣴⣶⣶⣿⠉⠀⠹⣷⣿⣿⣥⣄⡀⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⢿⣆⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠀⢀⣿⠟⠉⠉⠉⠛⣷⡄⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇ ⠘⢷⣄⡀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠃⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠿⣷⡀⠀⠀⣀⠀⠈⣿⡄⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⣀⣼⠏⠀ ⠀⠀⠉⠛⠷⠶⠶⠶⠶⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⣤⣴⠏⠀⠀⣽⡇⠀⠀⠀⠈⠛⠿⠶⠶⠶⠶⠿⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡾⠋⠀⠁⠀⠀⠀⠀⠀⢀⣾⠛⠉⠙⠓⠀⠀⢀⣴⠟⠛⠿⠾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠐⢶⣶⣶⣶⣶⣾⣿⡀⠀⠀⢶⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣀⣠⡿⠁⠀⠀⠀⠀⢹⣇⡀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀CUM IS YUM🥛CUM IS YUM🥛CUM IS YUM🥛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢔⣒⠂⣀⣀⣤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⢠⣟⡼⣷⠼⣆⣼⢇⣿⣄⠱⣄ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⣆⠙⠢⠐⠉⠉⣴⣾⣽⢟⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠤⢴⣿⠿⢋⣴⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⠻⣿⣶⣦⣭⣉⠁⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠈⠉⠉⠉⠉⠇⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣘⣦⣀⠀⠀⣀⡴⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⣿⣿⣿⠻⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⣿⠉⠻⣇⠘⠓⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢶⣾⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠻⢿⣿⣿⠿⠛⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⠶⠶⠶⠶⠦⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠾⠟⣿⣿⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢶⣤⣠⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠉⠀⠀⠸⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣀⠈⠙⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠈⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⢀⡿⠁⠀⠀⣰⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⠟⠋⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠐⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡇⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠉⠁⠉⠈⠉⠀⠀⠀⠀⠀⠀⣠⢤⣀⠀⠀⠀⠀⠀⠉⠿⠿⠁⡀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣄⠀⠀⠀ ⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣄⠤⠠⠐⢀⡀⠀⠀⠀⠀⠀⠋⠁⠉⠁⠀⠀⠀⠀⠀⠄⠀⠀⠀⢁⠀⠀⣼⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀ ⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠻⢶⣤⣴⡾⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⣤⠀⠜⣀⣴⠟⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⠀ ⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⣿⠃⠀⠀⢸⡟⠳⠶⠶⠶⢦⣶⣴⣶⣴⣶⣶⣿⠉⠀⠹⣷⣿⣿⣥⣄⡀⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⢿⣆⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠀⢀⣿⠟⠉⠉⠉⠛⣷⡄⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇ ⠘⢷⣄⡀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠃⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠿⣷⡀⠀⠀⣀⠀⠈⣿⡄⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⣀⣼⠏⠀ ⠀⠀⠉⠛⠷⠶⠶⠶⠶⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⣤⣴⠏⠀⠀⣽⡇⠀⠀⠀⠈⠛⠿⠶⠶⠶⠶⠿⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡾⠋⠀⠁⠀⠀⠀⠀⠀⢀⣾⠛⠉⠙⠓⠀⠀⢀⣴⠟⠛⠿⠾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠐⢶⣶⣶⣶⣶⣾⣿⡀⠀⠀⢶⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣀⣠⡿⠁⠀⠀⠀⠀⢹⣇⡀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⠙⢷⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⠀⠀⠀⠀⠀⢀⣾⣷⡀⠀⠀ ⠀⠘⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⣷⣤⣀⣤⣴⣾⣿⣿⣧⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣆⣼⣿⣿⠿⢻⣿⣿⣟⣿⣇⡀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⠗ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣴⡀⠀⡀⠀⠀⠀⢀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠸⣿⣷⣾⣿⣶⣶⣾⡏⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⠀⠀⢨⣹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣴⣶⣶⣾⣴⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⡿⠁⠀⢻⣿⣿⣿⣿⠏⠀⠈⠉⠉⣿⣿⣿⣿⡏⠙⠿⠿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠟⠀⠀⠀⣾⣿⣿⣿⡟⠀⠀⠀⠀⠘⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠃⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡄⠀⠀⠀⠀⠀⢻⣿⣿⡄⠀⠀⠀⠀⠀⠈⣿⣿⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⣤⡀⠀⠀⠀⠀⢿⣿⣿⣷⠀⠀⠀⠀⠀⠘⣿⣿⣷⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⠇⠀⠀⠀⠀⠈⠙⠛⠋⠀⠀⠀⠀⠀⠀⠙⠻⠟⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡤⠤⠴⠊⠀⠀ ⠀⠉⠉⠉⢩⠍⠉⠉⠻⠑⠆⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⠀⠀⠀⡤⣧⠀⠀ ⠀⠀⠀⠤⣿⣦⣠⣄⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⢤⣠⣖⡚⠻⠓⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⡯⠶⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⠛⢧⠀⠈⠁⠀⠀ ⠀⠀⠀⠀⠸⣷⣜⢆⢠⠇⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠙⣦⣧⡴⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠠⠈⠀⠘⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠈⠠⠀⠀⠀⠀⠠⠂⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢤⡀⠀⠀⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⣿⣡⡿⠀⠀⠀⣶⢶⠶⣶⡄⠀⠈⠷⡼⠇⠀⠀⠈⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢸⣿⣌⢳⣹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢬⡳⣜⣿⡄⠀⠀⠀⠀⣀⣀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⣴⣦⣶⠀⠀⠀⠀⠠⣿⣿⠿⣿⢾⣿⡧⠀⠀⠀⠐⠿⠿⢂⡎⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣄⠀⠈⠈⠁⠀⠀⠀⠀⠀⠉⠁⠂⠄⠂⠠⠁⠀⠀⠀⠀⣀⡀⠙⠀⠄⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⠩⣙⢻⢦⡶⣤⣤⣤⣤⣄⣤⣠⣄⣤⣤⣤⣤⣤⡶⣦⢿⡞⠵⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠈⠞⡢⢝⠦⡳⣙⢮⡝⣮⢗⡻⣎⢷⡻⡜⢧⡛⢬⠣⠘⠁⠀⠀⠀⠀⡠⠃ ⠀⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⠈⠐⠁⠎⠱⡉⢦⠹⡌⢯⠱⣋⠮⠱⡙⠢⠉⠄⠀⠁⣠⠄⠰⠰⠈⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⡀⠈⠐⠈⠄⠃⡘⢀⠃⠐⠈⠁⠀⠁⠀⠀⠀⠞⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠂⠈⠀⠀⠀⠁⠂⠄⣀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⢀⠤⠆⠀⠄⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⡜⠀⠀⠀⠔⠋⠀⠀⠀⠀⠑⠠⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⢠⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡅⠀⠀⠀⠀⠀⢠⠤⣆⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⢀⡿⠁⢸⡅⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢄⠀⠀⢀⣂⠃⠀⠈⠺⢡⣀⠤⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⣻⢟⡵⣫⠟⠁⠀⠀⠀⠁⠀⠀⢠⣴⣿⡿⠋⠑⣹⡿⢡⡿⢹⣿⡟⢷⣟⣿⡿⠿⣿⡿⣾⣝⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣫⠞⢡⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠉⠀⠀⠐⠟⠀⡞⢸⣿⠇⡇⠘⣿⣸⡸⡌⠻⣿⣎⢫⣧⡻⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⠃⢠⡾⢁⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⣰⣱⢧⣧⣤⡇⠀⡏⡏⡇⢹⡀⣽⣿⣷⡝⢿⣿⣆⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡟⡔⣠⠏⡰⡿⠀⢀⡀⡀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⢀⣿⠏⢸⡿⣿⠃⠀⢿⣧⣱⠀⢧⢹⣿⣿⣷⡌⢯⣯⣿⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⣹⠿⠋⣸⢏⡾⠏⠁⣴⠋⡸⠀⠀⣠⡟⣠⠦⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⢸⡇⣿⠀⠀⢸⣿⣿⠀⠸⣾⣿⣷⣻⣿⡌⢯⣿⣏⢱⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣟⣽⠋⠀⣰⠃⠀⠀⠀⠈⠉⢠⠇⠀⣠⢟⣜⢁⡜⣠⠀⠀⠀⡀⣀⢸⡟⢀⠀⣿⢰⡇⠀⠀⢸⣿⣿⡇⠀⣿⣿⣿⣏⢻⣿⡈⣿⣾⣟⢣⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡟⣼⠇⡀⣠⠃⠀⠀⠀⠀⠀⠈⢋⡾⢱⡟⠈⠉⠋⠀⠋⠀⡼⢠⡯⢋⣿⠀⢚⢻⣇⣼⡇⠀⣄⡸⣿⣿⣧⢀⢸⣿⣟⣿⡎⣿⣷⣼⣿⡿⣿⠆⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⡟⣼⡏⣸⢁⡏⠀⠀⠀⠀⠀⠀⢀⣾⢣⡟⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⣼⡏⠀⠈⣾⡏⣿⠁⠋⠛⢠⣿⣿⣿⣾⠀⣿⣿⣹⣿⢹⣿⣿⣏⡇⢸⣀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⡿⣰⡟⣸⣿⣾⠀⠀⠀⠀⠀⠀⢀⠞⡏⣼⠁⠀⢠⠀⠀⠀⣰⡏⠀⠀⢸⣿⡇⠀⠀⣿⢱⣿⠀⠀⠀⢈⣿⣿⣿⡏⠀⣿⣿⣿⣿⣇⣿⣿⣿⣿⡟⠛⡇ ⠀⠀⠀⠀⠀⣾⣿⣿⣡⡿⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⡞⣼⢸⡇⡴⢀⡟⢀⠀⢰⣿⠀⠀⢠⡿⢸⡇⠀⢸⣿⢸⣿⠀⠀⠀⢸⣿⣿⣿⣷⠀⣿⣿⣿⣿⣿⢹⣿⣿⣿⣧⣤⢿ ⠀⠀⠀⠀⢰⣿⣿⢣⣿⢃⣿⣿⣿⠀⠀⠀⠀⠀⠀⡼⠀⢇⣿⡾⢣⣾⢀⠏⢠⡟⣿⠀⢀⣿⢣⢻⡇⠀⣾⡇⢸⣿⠀⠀⠀⢸⣿⡿⣿⣿⠀⢻⣿⣿⣿⣿⡟⣿⣿⣥⣿⠹⣿ ⠀⠀⠀⠀⣿⣿⣯⣿⡟⣸⣿⣿⡟⠀⠀⠀⣾⠁⢰⠁⢸⣾⣿⣷⣿⠇⡾⠀⡾⣁⡇⠀⣼⠇⡆⢸⡇⠀⣿⡇⣿⣿⡇⠀⠀⢸⣿⡇⢿⣿⡆⢸⣿⣿⣿⣿⣷⣿⣿⣿⠁⢧⠃ ⠀⠀⠀⢰⣿⣿⣿⣿⠁⣿⣿⣿⡇⠀⠀⡼⡇⢠⠇⠀⣿⣿⣿⡟⢿⢰⡇⢰⠷⠁⡇⠀⡿⡸⠀⠸⡇⠀⡿⣿⣿⣿⡇⠀⠀⣿⣿⠀⢸⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠀ ⠀⠀⠀⣿⣿⣿⣿⡟⢸⣿⣿⣿⠃⠀⢰⢱⢀⡌⠀⠀⣿⡿⠛⠲⠾⡿⣇⡿⠶⠶⢧⢰⣗⣒⣒⣲⢿⠀⡇⢹⣿⣿⡇⠀⠀⣿⡟⠀⠈⣿⣿⡸⣿⢿⣿⣿⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⠇⣿⣿⣿⣿⠀⢀⠏⣾⡿⠁⢀⣼⢻⣲⡶⣦⣤⣁⣹⣁⡀⠀⠈⢾⡀⠀⠀⠀⠸⡄⡇⠘⡇⢻⣿⠀⢸⣿⣷⣒⠦⣼⣿⣧⣿⠘⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⣾⣿⣿⣿⡿⢠⣿⣿⣿⡇⠀⡼⠀⣿⠃⠀⡚⣾⣿⡿⠿⢿⣿⣿⣿⣛⣒⣿⣯⣗⠳⠄⠀⠀⠀⠙⠦⠀⢳⠈⢿⣇⣸⣿⠇⠀⠈⠉⠻⣿⣿⠶⢼⣿⣿⣿⢿⠇⠀⠀⠀ ⠀⣸⣿⣿⣿⣿⡇⣸⣿⣯⣿⡇⢸⠁⢀⡏⠰⢰⢱⠃⠙⢿⣄⡀⠀⠀⢏⠉⠫⠟⣻⡿⣷⡂⠀⠀⠀⠀⠀⠀⠈⠀⠘⣄⠉⢹⣒⣶⣒⣦⣤⣬⣿⣤⣌⣿⣿⡏⣻⡄⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⡇⡆⠀⢸⠀⡆⠘⢸⠀⠀⠈⠐⠛⠓⠒⠒⠓⠒⠒⠮⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠿⠿⠿⣿⣶⡼⣿⣿⣿⣷⣽⡿⠀⣾⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⢳⠃⠀⠀⠀⡇⡄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠤⠄⣀⣸⣄⣉⣱⣋⡼⠟⡿⠇⢰⣿⠀⠀⠀⠀ ⣿⣿⣟⣿⣿⣿⢸⣿⣿⣿⣿⢸⢀⠀⠀⠀⡇⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠋⠁⢠⢱⠂⣿⣿⠀⠀⠀⠀ ⣿⣿⣼⣿⣿⡟⣸⣿⣿⣿⣿⣼⢸⠀⠀⢠⡇⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣻⢠⣿⣿⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⡿⣿⠀⠀⠸⡇⢸⡆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣴⡏⣾⣿⣿⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⡇⣿⠀⠀⢠⣿⠸⣿⡀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢁⣿⣿⣿⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⡇⣿⠀⠀⢸⣿⡆⢿⣧⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣼⣿⣿⣿⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡅⣿⣿⣿⣿⣿⣿⣿⡀⠀⢸⣿⣷⣸⣿⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⢹⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣯⣿⣿⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⠒⠛⠻⠭⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣷⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⣿⣿⣿⣿⣿⣷⠈⣿⣿⣿⣿⣿⣿⣿⡄⢸⣿⣿⣿⣿⣿⢿⠦⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣇⣻⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⣯⣆⠀⠀⠀⠈⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⢹⣿⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢹⣿⣿⣿⣿⠻⡿⣧⡀⠀⠀⠀⠀⠈⠓⠤⣀⠀⠀⠀⠀⠀⣠⢤⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⠸⣿⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⡇⠀⠙⢎⡻⣶⣄⡀⠀⠀⠀⠀⠈⠑⠒⠶⠒⠉⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢸⣿⣿⣿⣿⣿⣿⠀⣿⣇⠀⠀ ⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠙⢮⡛⠿⢦⣄⠀⠀⠀⠀⠀⢀⣴⡾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⡯⠀⢸⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⢻⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⢿⣄⡀⠀⠀⠀⠀⠈⠳⣄⠙⣷⡀⠀⣠⣾⢟⡡⠞⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⡇⠀⢸⣿⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠋⠁⣄⣤⡞⠙⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣄⣠⡶⢉⡉⠉⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⠔⠲⠒⠛⠻⡹⠉⠇⠀⠀⠀⢠⣿⠿⡄⠂⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢨⣿⣻⠀⠀⠹⡳⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠁⢻⣆⠤⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡀⣴⡿⠕⣿⡇⠀⠰⠁⢝⡯⠉⠹⢿⠛⠳⠶⣤⡀ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡁⠀⠀⣏⠆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣬⡿⡁⠀⢹⡵⠀⠀⠀⠈⠜⠀⠀⠀⠀⠀⠀⠈⣿ ⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠇⠃⠀⠀⢹⠄⣸⣿⣉⣭⣭⣭⣿⢿⣭⣭⣭⣭⣭⣽⣧⢐⢾⣯⠁⠀⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠈⢧⠀⠠⠀⠀⠀⠀⠀⠀⣀⣍⣟⠂⠀⠀⣀⣼⣿⣷⣿⣿⣿⣿⡫⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⡃⠀⠀⠨⢹⡚⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⢨⠜⣴⣤⣶⣿⣿⣻⣿⣿⣿⣿⠟⡩⢻⠃⠀⠙⣿⣿⣿⣿⣿⡿⣿⣿⣿⣧⣤⡀⠀⣧⠈⠄⠄⠀⠀⠀⠐⠠⡀⣨⡟⠀ ⠀⠀⢠⣟⣦⣤⣤⣴⣶⣿⣿⣾⣿⣿⣿⣿⢯⣿⣿⣿⣿⣫⠞⠀⣼⡇⠀⠀⠙⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣍⢇⡀⡀⠀⠀⠀⠀⢠⣴⠋⠀⠀ ⠀⠀⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣸⣿⣿⡿⡿⠁⠀⠀⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⢣⢹⣿⣿⣿⣹⣿⣿⣿⣿⣶⣿⣵⣶⣾⣿⠁⡀⠁⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠉⣿⣿⣿⡟⠙⠀⠀⠀⡇⠀⠀⠀⠀⠰⢻⣿⣿⣿⡉⢿⢿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⠁⢠⣿⣿⠏⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⡠⠈⡞⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⡿⣃⣤⣼⣿⣯⣤⡄⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⢀⣙⣿⣧⣤⣸⡸⣿⡇⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⣟⡟⢸⣿⡿⢋⣵⣾⣿⣿⣶⣅⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢟⣽⣿⣿⣮⣍⠻⣿⣇⠸⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⡂⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡻⢀⣾⣏⢢⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣧⢺⣿⣆⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣟⠇⣼⢷⠃⣸⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡎⠀⢿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡏⠀⣿⡌⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣧⡘⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣷⠀⣿⡅⠀⢿⣿⣿⣿⣿⣿⣿⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⡯⠁⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠻⣷⠀⠘⡏⠉⣻⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡇⠀⣿⣿⣿⣿⣿⡁⢀⣾⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠑⠠⠸⠿⣿⣿⣿⠟⠁⢀⣀⡤⣤⣤⢤⡤⢄⣤⣀⡀⠹⢿⣿⣿⣿⣿⡋⠀⠛⠋⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⣴⣯⣷⣫⠥⣄⣭⣿⢿⣭⡑⢦⣄⠉⠉⠁⠀⠀⠀⠀⡞⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣛⢐⢶⣿⣿⡿⢿⣿⣿⢿⣿⣷⡷⡠⡅⡽⢆⠀⠀⠀⠀⠀⠀⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⡣⣤⣴⣽⠟⢹⠛⣿⣿⣿⡿⠿⠻⣽⢿⣓⡉⣻⡆⠀⠀⠀⠀⢀⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣾⣿⠾⡖⠛⠛⠛⠢⠤⣠⣳⣋⣶⣲⣿⠃⠀⠀⠀⠀⣞⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠂⠚⠋⠁⠀⠉⠉⠉⠉⠁⠀⠀⠀⣠⣮⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⠤⣄⣀⠀⠀⠀⠀⠀⢀⣠⡴⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣯⣵⣷⡀⠀⠈⠉⠉⠛⠛⠋⠉⠀⠀⠸⣯⡙⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⠿⠋⠸⣾⠃⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⢡⣷⡏⠘⢿⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠒⠉⠀⠀⠀⠀⢿⠁⠀⠀⠀⠉⠒⠂⠀⠀⡀⡀⡠⢸⣹⠁⠀⠀⠙⠲⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢁⡇⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⠀⡼⡄⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡿⣿⣿⡇⠁⠀⠀
⣿⣿⣿⣿⣿⡿⢛⡙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡏⢹⠘⡅⠎⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⠘⠀⠀⠁⣿⡿⢻⣿⣿⠿⠡⢐⡂⡀⠀⠐⣍⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣯⠀⠀⠀⠀⠋⢀⣾⡿⠟⠚⢀⠀⠀⠀⠀⠐⠳⠑⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡄⠀⠀⠀⣀⣾⡿⣱⠁⣠⣿⡧⡄⡀⡀⠀⠀⠀⣈⣛⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠋⣓⢀⣶⢿⣿⠛⢀⡖⠊⣧⣿⣿⣿⣼⣵⣇⣴⣾⡗⢸⣿⣿⣿⣿⣿ ⣿⣿⣟⣙⠄⣻⢆⣿⠃⣇⠀⢈⢧⠀⢺⣿⣿⣿⣿⣞⣿⣿⡟⠧⢿⣿⣿⣿⣿⣿ ⣿⣿⢣⡟⣆⠹⢦⠏⠀⠰⢠⠟⡏⡄⣼⣿⣾⣿⣿⣿⣿⣛⣦⡇⢸⣿⣿⣾⣝⣿ ⣛⣿⢹⣿⢲⢲⣫⠀⠀⣨⠊⠀⠑⠣⢼⣿⣷⣿⣿⢿⡳⣟⣞⠡⢛⢻⣿⣿⣷⣿ ⣿⣿⡾⡏⣡⢳⠃⠀⠄⠅⠄⡀⠤⣌⠻⢟⢿⡿⠃⠀⡠⡙⡂⡀⡰⠀⠻⣿⣿⣿ ⣿⣿⣹⣷⢧⡻⠠⠈⠀⠀⠸⡇⠈⢒⣾⢻⣤⡆⠀⢐⢩⠼⢣⣣⠥⠀⠀⠻⣿⣿ ⣿⣷⡌⡞⣷⠁⠀⠀⠀⠀⠠⢃⠀⠯⡿⢻⡘⡗⢴⡭⠋⠀⢢⠌⠃⠀⠀⡀⠻⣿ ⣿⣿⣷⡹⢜⡷⢢⠤⠤⠤⠂⠀⠀⠘⢦⢿⣨⣗⠠⡚⢀⢠⢾⡠⠀⠀⠀⠀⠀⠈ ⣿⣿⣿⣷⡾⣜⢡⢀⣼⣻⡴⠄⠤⢀⣉⣛⡁⠀⠀⡩⢷⣯⢽⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡟⣩⠖⢯⣿⣻⣶⣿⠷⠢⡮⠿⢈⡆⡦⡵⠣⠻⠞⠂⢠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣿⣷⡄⠀⠀⠀⣠⡶⣶⣤⣞⣹⣿⣷⠀ ⠀⠀⠀⠀⣠⣶⣶⣶⣦⣾⣅⣼⣿⣿⣿⣿⠀⠀⠐⢿⣰⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⣾⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⢿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣠⣤⣤⣤⡙⠻⠿⠃⠀⠀ ⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣼⣯⣤⣴⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⡿⠁⠀⢠⣿⣿⣿⣿⣿⣿⡾⠟⢻⣶⡀ ⠀⠀⢀⣴⣶⣶⣦⡀⠀⠀⠈⠉⠛⠁⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷ ⠀⠀⢸⣇⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃ ⢠⣾⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢠⣤⣶⣤⣀⠸⣿⠿⠿⠿⠿⠿⠟⠋⠀⠀ ⠸⣄⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⢹⣿⣿⣿⣧⠀⠀⢀⡴⢦⡄⠀⠀⠀⠀ ⠀⠉⠛⠛⠛⠛⠉⠉⠀⣤⣶⣶⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣤⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⠛⠛⠛⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⠋⠀⠀⢀⡞⢱⡆⣸⠳⠀⠀⢠⡿⡙⠀⢀⠎⢠⣾⠋⢜⠎⢀⡾⢫⠋⠀⠀⡀⢠⠖⣰⠟⠀⢀⡼⠋⡇⠘⢿⠐⣆⠀⠀⠄⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⠃⠀⠀⠠⡾⢠⣿⠀⡇⠀⠀⣀⣿⢷⠷⠶⠯⣤⡿⠁⢀⠏⢠⡾⣱⠃⠀⢠⢞⡴⣡⡾⠃⠀⡠⠋⢠⣾⢿⠀⢏⣷⠘⡄⠀⢱⠀⠀⢸⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠉⠳⣼⠁⣼⣿⢰⠃⠠⠞⣹⠇⠀⠀⡜⣰⣿⠃⢠⢏⢤⠏⡴⠁⠀⢠⣯⢎⣾⡿⠁⠀⠜⠀⣠⣿⠋⢸⣇⠸⣭⣇⢹⣶⠀⣇⠀⠘⣞⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣯⣇⢸⡀⠄⠀⣿⠀⠀⢶⢡⣿⡇⢀⡞⣞⡎⣰⠁⠀⢠⠇⣰⣿⣿⠁⠀⠀⠀⣼⣿⡇⠀⢸⣿⡀⢿⣸⣇⠹⣆⠘⣆⠀⢹⠸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠲⡔⢦⡀⠀⠀⠀⣸⣸⣿⢸⡇⣆⣄⣿⣤⣄⠀⢸⣿⠀⡞⠰⡽⢠⠃⡀⠀⠎⣼⣟⢿⠇⠀⣠⣀⡞⣽⣿⠀⠀⣼⠀⣧⠘⠟⣿⣧⠹⡄⠸⣆⠀⢧⢱⢂⠐⡄⠈⢆⠀⠀ ⠀⠀⠀⠀⠹⡄⠉⣆⠀⠀⣏⢹⣿⣾⣷⣿⢿⣿⣿⣿⣷⡜⠋⢸⠃⢀⣇⡏⢀⠁⣼⣼⡏⡎⡞⠀⢠⡏⡙⣿⣿⣧⡀⠀⡏⠀⢹⣆⠀⢹⡟⢧⠙⣄⠙⢆⠈⢆⢣⢃⠱⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢣⠀⡇⠰⣠⢻⡞⣿⣿⢿⡏⣼⣿⣿⣿⣿⣿⠀⠀⠀⠸⣼⠀⠀⢀⣿⡟⡸⢰⠇⠀⣾⢱⣹⡏⢸⡏⠙⢶⣇⠀⣼⢹⡄⢠⢻⢮⢳⡌⢆⠈⣆⠈⢏⢫⣆⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠈⡇⢠⠭⠾⣇⣿⣿⣼⢠⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠃⠀⠀⢸⢿⢁⠇⢸⠀⢰⡇⣇⡟⠀⣿⠁⠀⢸⠙⢷⣇⣸⣿⡌⣆⢾⡆⢻⣦⡁⠘⢆⠰⡓⢯⠙⡆⠀⠀ ⠀⠀⠀⠀⠀⢠⢬⣧⣧⠀⠒⠻⣽⡇⠇⣸⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠘⠏⠰⠀⠀⠀⠈⢸⣸⠃⠀⣿⠀⠀⢸⠀⢀⡿⣧⡏⣷⡘⡞⢿⡀⢹⡻⣦⡈⢆⠱⡀⢿⠇⠀⠀ ⠀⠀⠀⠀⠀⢼⢻⣿⠾⣄⠄⠀⠈⢿⠀⣿⡻⣿⠻⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠐⠤⢽⠀⠀⢼⠀⢸⢸⣿⢿⡇⣷⡐⣎⣷⣀⣑⣼⣷⠬⠦⢶⡟⠀⠐⠀ ⠀⠀⠀⠀⠀⡇⣾⡇⠀⠀⢀⣠⠾⠋⠀⠙⢿⣿⣷⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣷⣶⣦⣾⣤⡀⡌⠀⣎⣿⡏⢸⡟⣏⣣⣿⠏⣁⠀⠀⠀⠀⣠⣾⡆⠀⠀⠀ ⠀⠀⣆⠀⠀⣿⣿⣇⠖⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠉⣽⣿⣿⣿⣿⣷⣤⣼⠟⠀⣼⡇⡏⣿⡇⠀⠀⣴⣶⡒⢉⣿⣿⣷⠀⠀⠀ ⠀⠀⢈⡿⢤⡿⢸⡏⢠⣟⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡄⢰⣿⢰⠃⣿⣷⣤⣤⣬⡉⢉⣿⡿⠃⠀⠀⠀⠀ ⠀⢀⠀⠀⣸⠃⢀⣷⡿⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⠏⣸⣿⣿⣿⢿⣿⣿⣞⣿⣥⣶⣇⡀⠀⠀ ⠞⠁⠀⢠⡏⢀⠞⣽⣵⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠟⣴⣿⣿⠏⣀⠬⣿⣿⠯⣿⣿⣿⣿⠿⠀⠀ ⣶⢶⣶⣼⣧⢏⣾⣫⣷⣿⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣇⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢞⣽⣿⠻⠤⣬⣭⣥⣶⣠⣿⣿⣟⣿⣿⡆⣤ ⠸⠈⢹⣿⣿⡟⠉⠩⠿⢱⣺⣿⣿⣦⠀⠀⣿⢴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⡈⣟⠻⣙⠛⣻⣿⢏⣾⡿⠈⣽⣿⣽⣷⣿⣾⣿⣿⣿⣿⣿⣟⢻⣿⣿⣇ ⠁⠀⠀⣿⣿⠁⠀⠠⠑⠉⠈⠈⢿⣿⡄⠀⢹⣶⢽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠾⠦⠌⠛⠋⣠⠞⢹⢇⣞⠟⠿⣿⣷⣿⣿⣯⢿⣿⣻⣻⣿⣿⣿⢿⡅ ⠀⠀⠀⠈⢻⣶⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⣼⠃⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠟⠁⠀⣰⢋⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣩⣇ ⢠⣀⢀⣠⡼⠋⣷⣄⠀⠀⢀⣠⣾⠁⠀⢠⣿⣤⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠶⠞⠛⠉⠀⠀⢀⣾⣿⣾⢿⡿⠙⢦⢿⣿⣿⣤⣽⣉⣠⣄⡙ ⠱⣬⣍⣀⡘⣿⡇⢘⣷⡾⠹⢡⣿⡄⠀⠀⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⣫⣿⣿⣇⣾⠁⠀⠀⠙⣾⠉⠉⠉⠻⠦⠼⠋ ⠀⠈⠻⣬⣉⣉⠙⠻⠿⢧⣴⠟⢋⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⡠⢾⡿⠋⣸⢻⢻⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠹⣅⠒⠢⢼⢽⢻⣯⠾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⡀⠀⠀⣀⠀⠀⠀⠀⠀⠨⢔⡍⠀⢀⡿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠀⡆⠀⠀⠙⢆⣠⣿⢸⠘⠉⢻⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠏⢀⡾⠁⡴⢊⠵⠃⠀⠀⢀⡠⠖⠉⠀⠀⣸⠇⡀⡆⠀⠀⠀⠀⡗⢢⣦⡀⠀⠀⠀⠀ ⠀⣼⡜⠀⠀⠀⠀⠀⢸⣻⠘⡆⡇⢨⣟⣯⠑⢦⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣽⠀⣾⢀⢎⡴⠁⠀⣀⣴⡞⠉⢀⠀⠀⠀⢠⡿⡄⡇⡇⠀⠀⠀⠀⣇⡏⠣⡉⠁⠀⠀⠀ ⠸⡃⠀⠀⠀⠀⠀⠀⠘⣿⡀⣇⢱⠨⢽⠹⣎⠞⢦⢧⢻⢹⠑⢲⣶⡤⠤⣄⡀⠀⢦⡈⣿⡜⣿⡞⣼⠁⣠⣾⢟⠕⠀⠊⠁⢀⠀⢀⣾⣱⠃⢃⡇⠀⠀⠀⠀⢾⣧⠀⠀⠀⠀⠀⠀ ⠀⠙⠲⣦⢤⣄⣀⣀⣀⡼⡇⢿⠘⡆⠘⡇⢻⡄⠈⡎⢻⡆⣇⠈⣷⡇⠀⠀⠙⢦⡀⠙⠛⢷⣽⣿⣿⢰⣻⢿⠏⠀⠀⣀⠔⠁⣠⡾⣻⢟⣆⣼⠃⠀⠀⠀⠀⢸⢻⢢⡀⠀⠀⠀⠀ ⠀⠀⠀⠃⢸⠈⣿⣿⣎⣇⢳⢸⡇⢁⢆⢳⢠⢿⣞⠘⣧⠻⣜⡄⠹⡽⡄⢦⡄⠀⢱⡀⠀⠀⢯⡈⠛⠾⣇⣿⡤⠤⠌⣥⣤⡾⣫⡾⣣⢎⣾⡿⠀⠀⠀⠀⠀⣾⣼⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⡇⡿⣾⠈⣷⠸⠘⠸⡀⢧⣿⣆⠘⢣⠹⣽⡄⢳⢱⡈⣿⡀⠀⢣⠀⠀⠀⠑⢢⣄⡈⠉⠻⣾⡷⠽⣿⣛⡡⢚⣡⣾⣿⠃⠀⠀⠀⠀⢠⣟⡟⠁⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡿⢱⡇⡿⡇⢹⡄⡇⢣⢣⡜⣿⣟⣧⠀⢣⠹⣷⡌⢧⢳⠸⣧⠀⠈⡇⠀⠀⠀⠘⢱⠌⠛⠲⣤⠼⣿⣿⣒⣺⣿⡿⠟⠁⠀⡴⠀⢀⠔⣿⣿⣤⣤⡴⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠸⢹⡇⣧⠈⣧⢱⠈⡎⣷⠘⣟⣏⢷⡀⠳⡘⣏⢎⠆⢧⢻⣧⢠⠴⣄⠀⠀⠀⠈⣀⠀⣾⣥⣴⣬⣻⣶⡄⠀⠀⠀⠴⣋⣠⣴⣻⢍⠀⠸⡜⣿⣿⡹⡹⡀⠀ ⠀⠀⠀⠀⠀⠀⢸⣃⣰⡾⠿⠛⠒⠛⠋⠁⠒⠳⢇⠘⣿⣮⣻⣦⠀⠈⢯⢣⡈⣶⡿⠻⣄⠈⠁⠀⠀⠀⠀⠈⣿⡿⠋⠹⣿⡟⠈⡑⣶⣿⣿⣿⣯⣝⡽⣿⡿⣄⣹⣽⣿⢷⡱⠁⠀ ⠀⠀⠀⠀⠀⠤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣞⣯⣿⣝⣷⣤⣀⣳⣿⠋⡠⢾⠯⠿⠦⣄⣀⢀⡀⠘⠿⠇⠀⠀⠀⢰⣿⡿⣿⠏⠀⠀⠀⢹⠿⠹⡷⠿⠾⢷⣽⡏⠇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣽⢽⡾⡽⣟⡿⣽⣿⡿⣯⡟⣾⡟⣿⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣇⡒⡜⠿⡄⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⢈⣸⢻⣿⣳⠭⣟⣼⣿⣿⣾⢿⣳⣿⣜⢺⢻⢷⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡲⠁⠀⠇⠀⠀⠀ ⠀⠀⣤⣤⣤⣤⡤⢿⢏⣿⣿⣹⢾⣿⣻⣿⣟⢷⣟⣯⣏⣟⣾⡜⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⡏⠀⠀⡀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⡇⣆⢾⣿⣿⣿⣻⣽⡿⣻⣻⣿⣏⣿⢷⢽⢲⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠄⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⡍⡄⣿⣾⣿⣿⣷⣿⢟⣿⠟⢸⡍⢸⣽⢸⣯⣽⣣⣦⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣯⡆⠀⢀⠀⠀⠀ ⠀⠀⣿⣿⣿⡇⣄⠴⣼⡿⣿⣿⣿⣿⣟⠃⣸⠁⠘⠑⡤⠝⡿⠛⠉⠉⠛⠛⠿⠋⠓⠀⠀⠀⠀⠀⠀⠀⡴⠛⢻⡿⡆⠀⡀⠀⠀⠀ ⠀⠀⣿⣿⣿⣷⢘⢦⣿⣟⣽⣿⣿⡿⣻⠀⠁⠀⠀⠀⣷⠀⠃⡄⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣪⣤⣶⣿⡿⠁⠀⡄⠀⠀⠀ ⠀⠀⠉⠉⠉⠁⣦⠃⣹⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⣦⢰⣼⣾⣿⣿⣾⡿⣿⡦⠀⠀⠀⠀⠀⢼⣾⣿⣏⣿⣿⡷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⠈⢙⣿⣟⣿⢿⣯⣿⡅⠀⠀⠀⠀⢌⢸⠛⠋⠛⢿⠿⡥⠞⠟⠀⠀⠀⠀⠀⠈⠛⠟⠉⢿⡿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢀⣾⢃⠿⣿⡾⣿⣿⣯⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⣯⠀⠠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢋⣿⣬⢶⣿⣿⣳⣧⣿⡇⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡜⠀⣤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢜⢹⣏⠼⣹⣿⡏⣿⣿⣷⣧⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠⣞⣟⡇⠀⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢎⡿⣿⡼⣿⣻⣿⢿⣿⣿⢿⣧⡀⠐⢇⢠⠀⠀⠀⠀⠀⡀⠀⠀⠄⠀⠀⠀⠀⢄⡞⣰⣿⣿⣿⡇⢀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣽⣟⣿⣾⣿⣿⣿⣿⢿⡶⢰⠿⣦⣠⠴⣾⠭⣄⣀⡀⠀⠀⢀⣀⣐⠎⣴⣿⡿⣟⡽⡅⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡽⣿⣿⣿⡿⣿⣏⢻⣾⣿⡿⡁⠀⠀⢱⠈⠙⠭⠉⠉⠉⢉⢔⣾⣿⣿⣻⣻⣇⢂⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⠈⡿⣿⣿⣿⣖⠒⠊⠀⠀⠀⠀⠐⠊⢁⣼⣿⣿⣿⣿⢿⡿⣽⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⠙⠧⣀⢩⣟⢟⠋⠒⠤⣀⣀⡀⠤⣴⣾⣿⣯⣿⢿⣿⣾⢷⡎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣢⣌⠑⢾⡈⠀⠀⠀⠀⡞⢰⠸⡌⣿⣿⣿⣟⣿⣿⡟⣼⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠤⢤⣴⣖⡤⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⣑⠪⢚⢌⡳⣄⠀⠐⡇⢸⣮⣄⣼⣿⣿⣿⢿⣿⡇⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠹⣿⣍⣜⡾⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢫⠺⢵⣵⠄⣧⣼⠟⠿⣿⣿⣿⣏⣿⣿⣇⣼⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣏⣻⣿⣻⡾⣾⣿⢿⣾⣽⣿⣇⠀⠀⠀⠀⠀⠀⠘⡗⢦⡛⢆⠀⠙⣿⣷⣽⣿⣧⣏⣿⠀⠈⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣏⣿⣿⣿⣿⡿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢸⠀⡟⢶⣵⡄⢉⣿⡿⣿⣿⡿⣿⠄⢀⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⢿⡿⣿⡿⣿⣿⣿⣿⢏⣿⡄⠀⠀⠀⠀⠀⠀⠸⠀⣁⠀⢻⡪⠢⣿⢻⣿⣿⣸⣼⣆⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠆⣿⣿⢿⣽⣯⣿⣿⣿⢿⣷⠀⠀⠀⠀⠀⠀⠀⡆⣿⠀⠀⠱⡥⠑⣿⡾⣿⡇⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢿⣿⣿⣾⣇⡽⢿⣿⢿⣙⠀⠀⠀⠀⠀⢠⢤⣇⡸⡀⠀⠀⠈⣗⢼⣿⣿⣧⣿⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⣮⣿⣿⣧⢿⣿⣿⡿⢿⠀⠀⠀⠀⣠⣾⣤⢴⡛⣧⠀⠀⠀⠸⣽⣿⢿⣷⣺⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⣿⣿⣾⡟⣿⣿⣾⡆⣠⠴⣮⣬⡿⠛⠳⣯⡿⡦⠀⣀⢰⡟⡑⣟⡽⣷⣿⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣻⡷⣧⣿⣿⣿⡟⣣⠦⠛⠩⣑⡦⠚⢟⡷⣖⡵⢖⡱⠡⠓⣷⢻⣽⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⣿⣾⣪⣿⣿⣿⣿⣿⡏⠽⣣⡤⠊⣟⣯⣦⢄⠈⢊⢺⣤⢁⣃⣬⣳⣻⠵⡻⢿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠠⡟⣴⣿⣿⡿⡾⣿⣿⣷⣾⡿⡨⣻⣇⠀⡾⡻⢿⣞⣽⠺⢰⣡⢾⣾⣶⢿⠝⢝⢥⣞⣛⡣⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡿⣼⠐⣠⣶⣿⡍⢻⣿⣿⣷⡟⣿⣏⣿⣿⣿⡕⣟⠟⢄⡇⠈⣭⣳⣣⠾⣭⣵⠀⣯⣭⢵⠥⢉⣧⡈⢻⣿⡅⠀⠀ ⠀⠀⠀⠀⠀⣾⣭⣴⣿⣭⣥⣶⣷⣾⢸⣻⣳⡷⣽⣯⣿⣿⣿⡅⡃⠜⠚⡙⡋⠁⠀⣰⢀⣷⣦⡺⠛⣟⡝⡳⣾⣯⠓⡄⢩⣹⡄⠀ ⠀⠀⠀⠀⢐⢿⡦⠤⣿⠤⡤⣭⣽⡿⣤⣿⢿⣿⣿⣯⣿⣿⢋⣯⣦⣤⣄⣶⣯⡋⢣⡥⡏⣬⣝⠃⢺⠀⣹⠭⣿⡁⢰⡾⣿⠁⢇⠀ ⠀⠀⠀⠀⢸⠈⡤⠄⠶⠀⠁⡝⠈⣤⣿⣿⣿⣿⣿⠍⣿⢿⣇⣿⣟⣿⡱⠥⢝⣗⣄⠱⣻⢠⠉⣳⣄⣻⣕⣸⣣⠀⠙⠁⢸⠀⠘⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣔⣴⣰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠾⠾⠾⠶⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠾⢋⢩⣭⢩⠽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡇⡠⢰⢰⣏⣦⣍⡝⣛⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⠏⠁⡔⠊⡻⣿⣿⡏⡿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡿⠁⡞⣢⢉⢞⣱⣟⣿⣶⣘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⢀⡁⠃⡆⡎⣷⢸⣻⣇⢳⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣏⢑⡗⢵⢊⡼⢸⡣⣟⣷⣿⣼⢺⢿⣶⣐⣂⣦⣤⣦⣦⣆⣀⣲⠿⠁⡐⠠⠄⠃⡇⠇⢲⢘⣾⠮⣧⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣾⣾⣾⣿⡇⠀⠀⠀⠀ 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⢀⠢⠐⡠⢎⣻⣖⡀⠆⡐⠠⢂⠰⢀⠢⠐⡀⠆⡐⠠⢂⠰⢀⠢⠐⠄⡂⠔⡀⠆⡐⠄⢂⡁⢂⠡⢂⠁⠆⣁⠂⡉⠤⠑⢠⠊⡐⠐⡂⠰⢀⠢⢐⡀⠆⠰⣶⣶⣾⣿⣗⢀⠢⠐⡠ ⠀⠆⡑⣴⣿⣿⣿⣿⣖⠡⢁⠊⡔⢂⠡⡘⢀⠆⠡⡁⠆⢂⡁⠢⠉⡔⠰⠈⡔⠠⠡⠘⡠⠄⢃⠰⠈⠌⠒⠠⠘⡀⠆⡉⠄⣂⠡⠘⠠⠑⢂⠡⢂⡐⢌⣶⣿⣿⣿⣿⣿⢀⠢⠑⠠ ⠈⡔⠠⢸⣿⣿⣿⣿⣿⣃⢂⠡⠐⢂⠡⠒⡈⠤⢡⠐⣈⠂⠤⠁⠥⠠⠑⡈⢄⠡⡁⢃⠰⠈⡄⢃⡘⠈⡌⠡⢑⡈⡐⡁⢒⡀⠆⡉⠔⡉⠄⢢⢁⣖⣾⣿⣿⣿⣿⠿⢋⠄⣂⠉⠔ ⠐⡠⠑⡠⢉⠻⣿⣿⣿⣿⣿⣶⣭⣄⡁⠎⡐⡐⢂⠌⠄⡘⠤⢉⡐⠡⠑⣈⠰⠐⡠⢁⠢⢁⡘⠠⡐⠡⡐⠡⢂⠰⠀⡅⠢⠐⢂⢡⡘⣲⣬⣷⣿⣿⣿⣿⣿⣿⠇⠌⢂⠔⠠⡘⠠ ⠠⢁⠎⡐⠠⡁⢽⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣅⡌⡐⠌⡐⡐⠂⠤⢁⠃⢄⠂⠥⠐⢂⡁⠆⢠⠑⢠⠡⠐⣁⠂⠆⠡⢄⠡⢣⣼⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠌⢂⠡⢊⠐⠤⢁ ⢀⠃⡐⡈⠡⠄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⡁⢊⡐⠌⠨⠄⢊⠄⠃⢆⠰⠈⡔⠈⠆⡐⢡⠠⠘⣀⣣⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡀⠎⡐⢂⠡⠒⠠ ⠀⠎⢠⢁⠃⢌⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣈⠡⠘⣀⠊⡁⠆⠂⠥⠠⢉⡐⠌⣀⢦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⡐⠰⠐⡈⠤⢁⠃ ⠈⡔⢁⠂⢌⠂⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⣄⣣⣤⣦⣵⣾⣾⣶⣷⣦⣴⣬⣤⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢠⠑⡈⠔⡐⡈⡐ ⠐⢠⠊⠐⠂⡌⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⡄⠂⢡⠒⢠⠁⡔ ⢀⠃⠌⡐⢂⡁⠆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⢠⠉⠄⣂⠢⠌⡐ ⠀⠎⢠⢁⠂⠔⡈⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠐⢂⠡⠊⠄⢂⠔⠠ ⠈⡔⢁⠂⢌⠂⠔⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠌⢂⠡⠘⣀⠃⠌⡐ ⠐⡠⢊⠐⠂⡌⢘⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⡴⢈⠰⢈⠰⠀⢧⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢁⠊⠤⢁⠡⠄⡘⢐⠠ ⠠⢁⠂⡌⠡⡐⡈⠔⡈⢛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣘⣶⣷⡈⠔⢂⣹⣶⣞⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠡⢀⠆⢂⡉⠰⢈⡐⠌⡐⡈⡐ ⢀⠃⡰⠠⢁⠔⡐⡈⠤⢁⠢⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣿⡿⠃⠌⡄⢻⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠡⡈⠤⡐⢁⠢⠐⡂⢡⠐⠄ ⠀⠎⢠⠁⠆⢂⠔⠠⡁⠆⠰⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣦⣩⣶⣤⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠁⡰⠐⡠⢁⠢⢁⡘⠠⠌⢂ ⠈⡔⠡⢈⠒⡈⠄⢃⠰⢈⠡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⡠⠡⠐⢂⡁⠆⡈⠔⡈⠄ ⠐⡠⠁⠆⢂⡁⠎⡐⠰⢈⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣱⣤⡀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⠁⠆⡉⠤⠐⢂⡁⠒⡈⠔ ⠠⢁⠜⡈⠤⠐⢂⠌⠰⠈⠌⢽⣿⣿⣿⣿⣿⣿⡿⠁⠀⢹⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⡗⠀⠈⣿⣿⣿⣿⣿⣿⣿⡏⠄⣉⠰⠠⢁⠊⢄⠰⢁⠰⢈ ⡀⢃⠰⠐⡠⢉⠂⠌⢂⡉⠔⡈⣿⣿⣿⣿⣿⣿⠃⠀⠀⢨⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⡿⢁⠌⡀⠆⠡⠌⢂⠌⡐⡈⡐⢂ ⠐⡈⠄⢃⠰⢀⠃⡘⠄⡐⢂⢁⠚⣿⣿⣿⣿⣿⡀⠀⠀⠀⢿⣿⡿⠏⠀⠀⠀⠀⠀⢀⣤⣤⡄⠀⠀⠀⠀⠘⠿⣿⡿⠗⠀⠀⢸⣿⣿⣿⣿⡿⠃⡄⢊⡐⠌⢡⠈⢂⠔⠠⡁⠔⠂ ⠠⣁⠊⡐⢂⡁⢊⠰⢈⡐⠈⡄⠊⠌⢻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢿⡾⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠏⡁⠒⢠⠡⠐⡨⠄⠊⠤⢈⠒⡀⠎⡐ ⡐⠠⠘⡀⠆⢠⠃⡐⠂⢄⠃⠤⠉⡄⢃⠘⠻⢿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⣀⡀⠘⠻⣷⣾⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠏⡁⢂⠌⢡⠂⠰⢁⠰⢈⠁⠆⣁⠢⠌⡐⠄ ⣀⠃⢡⠒⠨⠄⢂⠡⡘⠠⠌⢂⠡⡐⡈⢄⢃⠆⣩⣿⣿⣿⣷⣶⣤⣤⡶⠟⠛⠛⠳⣦⣠⡿⠟⠛⠛⠷⣦⣄⣠⣤⣶⣿⣿⢻⡁⠆⠰⢈⡐⠌⡠⠌⣁⠂⢒⠈⢌⡐⠠⢂⠒⡀⠎ ⢄⠣⢠⠘⡀⠎⢄⠡⡐⠡⣈⠂⢡⣰⣴⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢹⣿⠁⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣷⣾⣶⣷⣦⡔⢂⢁⠢⠄⡘⡀⠎⠠⠄⢃⡐⢂⠁⠆ ⠢⡑⠠⢂⠡⠌⠂⡔⠠⢡⠠⠘⡠⣿⣿⣏⣿⡿⠿⠿⢿⣿⡿⠛⠟⠿⣦⣄⠀⠀⣠⡾⠿⣧⡀⠀⠀⣠⡾⠟⠻⢻⣿⠿⠿⢿⣿⣥⣨⣿⡗⠠⢂⠂⠜⠠⡐⡈⠡⠌⢄⠰⢈⠰⢈ ⠣⡘⠃⠄⡄⡘⠣⢀⠃⡄⠠⢃⡀⠛⠿⡿⠟⠠⢠⠀⠜⣻⣿⡀⠀⠀⠘⢻⡄⣸⡿⠃⠀⠸⣿⣀⠸⠛⠀⠀⠀⣸⣿⠃⢄⠠⠘⢿⡿⠛⡀⠣⢀⠛⡀⠇⠠⠘⢃⡘⢀⠤⠘⠠⠄ ⡑⢌⠘⡠⠐⠄⡑⢂⠡⠄⢃⠄⢂⠅⠒⠠⠌⡁⠆⡘⢐⣸⣿⠻⠶⣤⣤⡶⠟⠋⠀⠀⠀⠀⠈⠛⠷⣦⣤⣴⠾⢻⣿⡌⠠⢂⠉⡄⢄⢃⠰⣡⡂⢂⠡⠘⡠⠉⡄⠰⠈⡄⠡⠃⠌ ⡘⢄⠢⠁⠜⡐⢐⡈⠔⡈⢄⠊⢄⠊⠌⣁⠢⢁⢊⠐⠢⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠆⠡⠌⢢⣼⣤⣮⣷⣿⣿⡆⡈⠡⠄⡑⠠⠑⡈⠤⠑⣈⠂ ⡘⢄⠢⢉⡐⠐⢂⠰⢈⡐⠄⠊⡄⡘⢠⠐⡐⡈⠄⢊⠡⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⢌⠰⠈⢿⣿⣿⣿⣿⣿⡇⠐⣁⠒⡈⢡⠘⡀⠆⠡⠄⠌ ⡘⢄⠢⠁⠤⠉⡄⠢⢁⠰⢈⠡⠐⠄⢃⠰⢀⠡⡘⢀⠆⡙⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠈⠄⢢⣹⣿⣿⣿⣿⣿⣿⠡⠘⡀⢂⡁⠆⠤⠁⡌⠡⠌⢂ ⡘⢄⠢⠉⡄⠃⠤⠑⡈⠔⡈⠤⢉⠰⢈⡐⠌⡐⠠⢃⠐⡠⣿⣿⠃⠀⠀⠀⠀⠀⠀⢀⣦⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢛⠫⠐⡡⢈⠤⠐⡈⠄⢃⠤⠡⠘⠠ ⡘⢄⠢⠡⣀⠃⢂⠥⢈⠒⡈⠔⡈⡐⢂⡐⠌⣀⠣⠄⣳⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⣼⣿⡆⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⠿⠿⠿⢛⠩⠐⡨⠄⢂⡑⠠⢂⠄⠃⢌⠨⠄⢂⠡⡁⢃ ⡌⡂⢆⠡⢄⡘⢄⢂⠢⡑⢌⡐⠄⣁⠢⠐⡈⠄⠒⡐⢿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠈⠔⢂⠡⠘⠠⠌⢄⠰⢁⠂⡌⠘⣀⠒⢨⠠⢁⠔⠂ ⢈⡑⢊⠐⢊⡐⢊⢂⠓⣈⠂⠰⠈⢄⠂⡑⣈⠰⠁⡌⣹⣿⣶⣦⣤⣄⣀⣤⣤⣤⣾⣿⡿⣿⣶⣦⣤⣤⣀⣀⣀⣤⣴⣿⠃⣌⠂⠌⡄⠩⢐⠨⣀⠒⠠⠡⠐⡡⠠⠘⣀⠒⡈⠄_URSTRULY⢃⋆.˚🦋༘⋆𔓘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⢠⠋⠉⠉⠒⠲⢤⣀⣠⡀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⡠⠖⠋⠉⠀⠀⠀⠀⠉⠉⠢⣄⠀⠀⠀⢀⠼⠤⠇⠀ ⠀⠀⠀⣀⠔⠊⠁⠀⢨⠏⠀⠀⠀⣠⣶⣶⣦⠀⠀⠀⠀⠀⠱⣄⡴⠃⠀⠀⠀⠀ ⢸⣉⠿⣁⠀⠀⠀⢀⡇⠀⠀⠀⠀⢿⣽⣿⣼⡠⠤⢄⣀⠀⠀⢱⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢦⡀⢸⠀⠀⠀⡠⠒⠒⠚⠛⠉⠀⢠⣀⡌⠳⡀⡌⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⣆⠀⢰⠁⣀⣀⠀⠀⣀⠀⠈⡽⣧⢀⡷⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡤⢄⠀⠈⠢⣸⣄⢽⣞⡂⠀⠈⠁⣀⡜⠁⣩⡷⠿⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢯⣁⡸⠀⠀⠀⡬⣽⣿⡀⠙⣆⡸⠛⠠⢧⠀⡿⠯⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡀⠀⠀⡤⠤⣵⠁⢸⣻⡤⠏⠀⠀⠀⠀⢹⠀⠀⠀⡊⠱⣀⠀⠀⠀ ⠀⠀⢀⠜⠀⢘⠀⠀⠱⠲⢜⣢⣤⣧⠀⠀⠀⠀⠀⢴⠇⠀⠀⠀⠧⠠⠜⠀⠀⠀ ⠀⠀⠘⠤⠤⠚⠀⠀⠀⠀⠀⠀⢸⠁⠁⠀⣀⠎⠀⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⣀⣀⡴⠤⠄⠴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠟⠉⠉⠉⠻⡿⠋⠉⠉⠉⢻⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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pleas add me on discord its iirlshinji :3 ⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⣾⡳⣼⣆⠀⠀⢹⡄⠹⣷⣄⢠⠇⠻⣷⣶⢀⣸⣿⡾⡏⠀⠰⣿⣰⠏⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⣀⣀⡹⣟⡪⢟⣷⠦⠬⣿⣦⣌⡙⠿⡆⠻⡌⠿⣦⣿⣿⣿⣿⣦⣿⡿⠟⠚⠉⠀⠉⠳⣄⡀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⢀⣼⣟⠛⠛⠙⠛⠉⠻⢶⣮⢿⣯⡙⢶⡌⠲⢤⡑⠀⠈⠛⠟⢿⣿⠛⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⡸⠯⣙⠛⢉⣉⣙⣿⣿⡳⢶⣦⣝⢿⣆⠉⠻⣄⠈⢆⢵⡈⠀⠀⢰⡆⠀⣼⠓⠀⠀⠀ Nah ⠀⠀⠈⣷⠀⠀ ⠀⠀⠀⠖⠉⠻⣟⡿⣿⣭⢽⣽⣶⣈⢛⣾⣿⣧⠀⠙⠓⠀⠑⢦⡀⠹⣧⢂⠀⣿⡇⢀⣿⠺⠇⠀ ⠀I'd⠀ ⠀⣿⠀⠀ ⠀⠀⠀⠀⠐⠈⠉⢛⣿⣿⣶⣤⣈⠉⣰⣗⡈⢛⣇⠀⣵⡀⠀⠘⣿⡄⢻⣤⠀⢻⡇⣼⣧⣿⠀ Beef on this site⠀⡿⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⢍⡉⠛⠻⣷⡆⠨⣿⣭⣤⣍⠀⢹⣷⡀⠀⠹⣿⡄⠈⠀⢿⠁⣿⣿⠏⠀⠀⠀ ⠀⠀⠀⣇⠀⠀ ⠀⣿⣇⣠⣾⣿⣛⣲⣿⠛⠀⠀⢀⣸⣿⣿⣟⣮⡻⣷⣤⡙⢟⡀⠀⠙⢧⠀⠀⠎⠀⠉⠁⠰⣿⠀⠀ ⠀⢀⡿⠀⠀ ⠀⠈⢻⣿⣿⣽⣿⣿⣿⣴⡏⠚⢛⣈⣍⠛⠛⠿⢦⣌⢙⠻⡆⠁⠀⠀⠀⣴⣦⠀⠀⠀⠐⢳⢻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠮⠀⠀⠀ ⠀⠀⠈⠙⣿⣧⣶⣿⠿⣧⣴⣿⢻⡉⠀⢀⣠⣴⣾⡟⠿⠃⠁⣠⣤⡶⣾⡟⠅⠀⣀⡄⠀⣾⢸⣿⣏⢻⢶⣦⣤⣤⣄⢶⣾⣿⣡⣤⡄⠀ ⠀⠀⣠⣞⣋⣿⣿⣾⣿⡿⡛⣹⡟⣤⢰⡿⠟⠉⣀⣀⣤⣤⡠⠙⢁⣾⡿⠂⠀⣿⠟⣁⠀⣹⠀⣹⣿⡟⣼⣿⣿⣌⣿⣞⣿⣿⠁⠀⠀⠀ ⠀⢠⡿⢛⢟⣿⣿⣿⣿⣿⣿⡟⣼⣿⣟⢓⠛⣿⣏⣿⣵⣗⣵⣴⣿⢟⡵⣣⣼⣿⢟⣵⣶⢻⣶⣿⠀⠀⣈⢻⣿⣿⣿⢿⣾⢿⣧⠀⠀⠀ ⠀⠘⠃⢸⣿⡾⣿⣿⣿⣿⣯⣿⣿⣿⣶⣿⣿⣟⣾⡿⣫⣿⣿⣿⣽⣿⣿⣿⣿⢫⣾⣿⣿⣿⣿⣿⣴⡆⣻⣿⡏⣿⢻⣧⣿⡿⣿⡆⠀⠀ ⠀⠀⠀⠜⣿⣾⢿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣭⣿⣖⣿⢿⣿⡿⣿⣿⣿⡿⢡⢯⣿⣿⣿⣿⣿⣿⣿⣧⡿⣾⣷⣿⣿⢿⣿⡇⠉⠁⠀⠀ ⠀⠀⠀⠀⣿⣥⣾⣿⣿⣿⣿⣿⣿⣿⡇⣭⣿⣿⣿⣿⠃⠞⠟⣸⣿⠏⣸⣧⣀⠿⢿⣿⣿⣟⣿⣿⣿⣿⣽⣿⢿⣿⣿⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⣹⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣟⣿⣿⡿⢶⣦⣄⣿⠏⠀⣿⣟⣿⣶⠾⣿⣟⣋⣛⣿⣿⣿⣿⡇⣻⣿⣿⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠟⠛⠫⣿⣿⣿⣿⣿⡿⣧⠛⣿⠛⣿⣿⣿⣷⡌⠹⡟⠀⠀⠉⡟⠋⢠⣾⣿⣿⣿⡟⣿⣿⣿⣿⢀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠋⣾⣷⣿⣿⣧⠙⠀⠙⢣⠝⠛⠋⣽⣷⢦⠇⠀⠀⠘⠁⣤⣾⣿⠝⠛⠉⠘⢻⣿⣿⢿⣼⣷⡟⢻⣷⠉⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠟⢻⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⣾⠟⠀⢸⣷⣿⡇⠀⠛⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢻⡿⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠲⣄⠀⡄⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣀⠀⠀⣠⣾⣿⠁⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣆⠀⠛⠁⠶⣶⣶⣶⣶⣶⣶⡶⠆⠘⠋⣠⡾⢫⣾⡟⠀⠀⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠀⠙⣷⡀⠀⠀⠙⠛⠛⠛⠛⠋⠁⠀⢀⣴⠋⠀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣰⣦⡀⠸⣿⣦⡀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠐⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⡄⢺⣿⡄⠹⣿⠻⢦⣤⣤⣤⣤⣶⣿⡟⢀⣀⠀⠀⢸⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⡀⠹⡷⣦⣀⡀⡀⢸⣿⠏⢠⣾⣿⠀⠀⣾⣿⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠘⣷⣻⡟⠀⡼⠁⣴⣿⣿⣯⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⣿⣤⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 🤞🤞🏻 𐙚
.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠒⠉⠁⠀⠉⢦⣄⡔⠊⠉⠈⠈⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⣀⣀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⡔⠍⠀⠀⠙⠖⠁⠀⠀⠑⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠊⠀⠀⠀⠀⠀⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣞⠉⠉⠓⠉⠉⢳⡄⠀⠀⠀⠀⠀⠑⠤⣄⠀⠀⠀⣀⡴⠏⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠈⠒⠶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⣀⠾⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠢⡄⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠠⠤⠤⠄⣙⣢⡴⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡔⠊⠁⠀⠀⠀⠀⠀⠀⠀⢀⣿⡖⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⡒⠈⠉⠉⠉⠉⠐⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⣻⣷⣶⣤⣤⣀⣀⣀⣠⣴⣾⠿⢿⣧⡀⠑⢄⠀⠀⠀⠀ ⠀⠀⠀⢠⠞⢡⣿⠷⢶⣤⣀⣀⣀⣠⣤⡾⣿⣦⠀⠀⠀⠀⠀⢀⡠⠤⠤⠧⠴⣿⠃⠈⠉⠙⠛⢻⣿⡟⠁⠀⠀⠀⠙⣿⣄⠀⢣⠀⠀⠀ ⠀⠀⣰⠁⣴⡟⠁⠀⠀⠈⣿⡟⠋⠉⠁⠀⠘⢷⡱⡀⠀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠑⢦⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠈⢿⣧⣾⡧⠔⢲ ⢟⠁⣿⣾⠏⠀⠀⠀⠀⢀⣿⠁⠀⠀⡠⠒⠀⠘⢷⡧⣰⠁⢰⣲⣦⠀⠀⣴⣶⡄⠀⠀⢣⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢀⣿⡟⡅⢠⠎ ⠈⠳⣣⠻⣧⣀⠀⠀⠀⣸⡏⠀⠀⡌⢀⣾⣿⣿⣆⣑⡇⠀⠘⢛⡋⠀⠀⠛⠟⠃⠀⠀⠀⡇⠀⠀⠈⣿⡇⠀⠀⠀⣀⣤⣾⠟⣠⣣⠃⠀ ⠀⢀⠇⠳⣌⠛⠿⢶⣶⣿⣧⣶⡞⠀⢸⡿⠛⠉⠁⡀⠈⠑⠢⠈⠻⣶⡾⠟⠀⠀⠀⠀⠀⠸⣶⣶⣴⣿⣿⣶⣾⡿⠿⠋⢁⠔⠁⢱⠀⠀ ⠀⢸⠆⠀⠀⢩⠐⠒⠂⠤⠤⠤⠧⠴⠋⠀⠀⠀⠿⠻⠇⠰⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⠄⣀⣀⡀⠤⠤⠒⠊⠁⠀⠀⠸⠄⠀ ⠀⠀⠑⠒⠒⠋⠉⠒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢶⣴⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠚⢇⣀⣀⡠⠞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢰⠠⠤⠤⠤⠤⡄⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⠤⠤⠊⠉⠒⠢⠤⣀⣀⣀⣀⡠⠔⠳⢄⣀⣀⣀⡼⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⠤⠤⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠉⠁⠈⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠉⠉⠉⢻⣧⢿⠻⢎⠻⣷⣾⣭⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣛⡿⠽⠛⢻⣿⣿⣿⡟⠛⠛⠛⠿⣿⡿⠃⠀⣀⣀⣤⣤⣤⣾⣧⠈⢦⠀⠑⢌⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠿⠿⠯⠭⠭⠻⠗⠒⠛⠉⠉⢀⣠⣴⣶⣿⡿⢃⣤⣤⣤⣤⣤⣉⣻⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠙⢶⣌⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣤⣤⣀⣀⣀⣀⣀⣠⣤⣶⣾⣿⣿⣿⡿⠋⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠈⠙⠛⠲⠦⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⢁⣴⣢⣿⣿⢿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡉⠑⠺⠭⣒⡒⢒⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⣫⣾⡿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣍⡛⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⢿⣿⣿⣿⡋⢁⠀⢀⡠⣠⣴⣿⡿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⢿⣿⣿⣿⣿⣿⣦⡙⠿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣠⣴⣾⣿⡿⠋⣰⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⡏⣿⣷⢾⣎⢻⣿⠿⠟⠻⣿⣟⣆⠙⣿⣷⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⡿⢀⢞⣿⣿⣿⣿⣿⣿⡟⣵⣾⠟⢱⣿⣄⡿⡿⠛⣿⠀⢿⣧⡀⠢⣿⣿⣿⣧⡈⢿⣿⣜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⢃⢯⣿⣿⣿⣿⣿⣿⠋⢾⡽⠃⠀⣸⠃⢸⡇⣧⢀⢸⡀⡀⡹⣷⣼⣿⣿⣿⣿⣿⣮⢿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⢃⣾⣿⣿⣿⣿⣾⡿⠁⢀⡾⠃⠀⢀⡏⠀⢸⣇⣷⣾⣞⣧⢉⢁⢹⣿⣿⣿⣿⣿⣿⣿⡎⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⠟⡠⣰⣿⠃⠀⢠⣿⠁⢀⣸⣿⡿⠉⠺⢿⡨⠀⠘⠝⣿⣿⣿⣿⣿⣿⡿⡘⡎⣿⣿⣿⣿⣿⣿⣿⣿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⣿⣿⣿⣿⣿⢏⡞⣰⣿⠁⠠⠀⣼⡟⠀⠈⣿⣿⣷⠀⠘⢾⡇⠀⡁⠀⠙⣿⡿⢛⣹⣽⣿⡯⢽⣸⣿⣿⣿⢿⣿⣿⣿⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⣀⣀⣀⣀⣴⣦⣾⣿⣿⣿⣿⣿⣿⡿⢃⠎⣼⡿⠁⠀⠀⢠⣿⡡⡀⣠⣿⣿⣿⠈⠀⠀⣿⠀⣠⣶⣿⣿⣿⣭⣶⣿⣿⣿⠈⣟⣿⣿⣿⡜⣿⣿⣿⡆⣼⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠉⡽⣻⠟⣹⠟⠀⠹⣿⣿⣿⣿⣟⡁⣀⣼⡟⠀⠀⠀⡰⣾⣯⣍⣿⣿⣿⣿⣿⠀⠀⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⢸⡹⢻⣿⣇⣿⣿⣿⣃⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠼⣼⠋⣸⠏⠀⠀⠀⢘⣿⣿⡟⠀⢃⣿⢛⢗⡶⣷⣾⣿⣿⣿⢿⡿⢻⣿⣿⣿⣴⣾⢿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣟⢹⣧⠸⣷⠘⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⡇⢰⡏⠀⠀⠀⢀⣾⣿⠏⢀⣨⣿⣷⣾⣿⣿⣿⣿⣯⣭⣉⡛⠒⣾⣿⠿⠋⠉⠁⢚⣿⠁⠀⠹⣿⣿⣿⣿⣿⣿⣿⠘⣿⡆⣿⣧⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢰⠁⠘⣆⠀⠀⢠⣿⠿⠁⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⡆⠋⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠙⠗⠚⠛⠉⠀⠉⠀⣿⡇⡙⢸⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣄⢰⣿⠀⠀⠘⠄⢠⣿⣿⣾⠿⢿⣿⣿⣿⣿⣿⣷⡈⠉⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡅⡇⢸⣿⣄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣫ ⣿⣿⣿⡇⢸⠀⠠⠛⣫⣍⠀⠀⢸⡟⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⡇⢸⣿⣿⣧⡹⣿⣿⣿⣿⣿⣿⡿⢋⣴⣿⡿ ⣿⣿⣿⣷⠈⡇⠀⠀⢻⡻⡀⠀⢸⡇⣿⣽⣟⡇⢻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⣠⣿⣿⣧⡇⢸⡏⣿⣿⣷⣌⠻⣿⣿⡿⢋⣴⣿⡿⣫⣾ ⠻⠿⠿⣿⡆⢱⣰⡄⠸⢷⣟⣆⣸⣷⠇⣿⣿⣿⠈⣿⣌⣿⣄⠀⠀⠀⢰⣤⣀⣀⣀⣀⣀⡠⠤⣶⣾⠏⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡇⣾⣿⢹⢿⣿⣿⣷⣝⠻⣄⣾⡿⢋⣾⣿⣿ ⠀⠀⠀⠈⣿⡆⢻⣿⣄⠀⠙⢯⡹⣿⣰⣟⣿⣿⡇⢹⣿⢿⣿⣷⣦⡀⠀⠙⣿⣷⣦⣤⣤⣶⣾⣿⣟⣰⠟⠀⠀⣠⣾⣿⠃⣿⣿⣿⠃⣿⣿⡤⣸⣹⣿⣿⠟⣷⣾⣿⣴⣿⣿⡿⠋ ⠀⠀⠀⠀⠸⣿⣾⣿⣿⣷⣦⣼⣿⢷⡟⠨⣿⣿⣷⠈⣿⡸⣿⣿⣿⣿⣶⡿⣿⡿⠟⠉⣵⣄⣼⣿⡌⠋⢀⣠⣾⡟⢹⠃⠀⣿⣿⣿⠀⣿⣿⣧⡇⠟⣿⣫⣾⡿⢫⣿⣿⣿⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣷⣷⣿⢰⣿⡆⠉⣷⣿⣿⣿⣿⣿⣿⣿⣷⢾⣿⣙⠛⠉⠁⣀⣴⣿⠟⠁⢠⢏⣞⣾⣿⣿⣿⢰⡏⣿⣿⣶⠸⣹⣿⢟⣠⣿⣿⡿⠁⠈⢙⠗ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢰⣏⣨⣿⣿⣿⣿⡟⢸⣿⣿⣿⣏⡇⢻⣷⣿⣿⡟⠁⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⠏⢻⣿⠇⣼⣿⣿⡀⢹⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⠩⠥⠄⣀⣴⣿⣿⣿⣿⣿⣿⣿⡇⢸⡏⣼⣿⣿⣶⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠋⠀⢀⡟⢰⣿⣿⣿⡇⢸⣿⣿⡿⣿⣮⡛⢿⣿⣿⣿⣿⣿⣯⣷⣾⣿⣿⠿⢛⣋⣿⣿⣿⠿⣻⡇⣿⡇⢯⣿⣿⣿⣿⣻⣯⣇⡄⠄⠀⠀⠀⠀⠀ ⣶⣦⣴⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣿⠁⣿⣿⣿⣿⡇⠀⣿⣿⣿⣮⡻⣿⣷⣍⡻⣿⣯⡙⢻⣿⡏⠹⣿⡿⠟⢋⣿⢟⣵⣿⣿⡇⣿⡇⠘⣿⣿⣿⣿⣿⣿⡜⣿⣮⣆⠀⠀⠀⠀ ⢤⣤⣉⠙⠛⠻⢿⣿⣿⣿⠁⠀⣠⡾⠋⣼⣿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣮⣟⢿⣿⣾⣿⣾⣭⣛⠳⠦⠛⠤⢴⣞⣵⣿⡿⣫⣾⣇⣿⣿⠀⢿⣿⣿⣿⢿⡈⣷⡘⣿⣿⣦⡀⠀⠀ ⠀⠐⠬⢍⣓⡶⢤⣀⣉⠉⠛⠶⢶⡄⣼⣿⠃⢻⣿⣿⡇⢸⣽⣿⣿⡏⢻⣿⣿⣿⣿⣻⢿⣷⡉⠙⢻⣿⠶⠶⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⡄⠸⣿⣿⠏⠘⣷⡹⣷⡘⢿⢿⣿⣦⣀ ⠀⠀⠀⠀⠀⠉⠑⠒⠽⢿⣲⣤⣎⣾⠟⠉⠛⠳⠿⣿⣧⠈⣿⡏⣿⡇⠀⢿⣿⣿⣿⣿⣷⣿⣧⣼⡟⠛⢿⣆⡿⣡⣾⣿⣿⣿⣿⣿⣿⣿⣇⢧⢻⣷⡀⠀⠉⢿⣾⣷⣤⡑⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠙⠛⢳⣦⣄⣀⡀⣸⠀⣿⡷⢼⣷⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⢸⡎⢿⣧⠀⠀⠈⢻⣿⣿⣿⢿⣿⣿🖨️📄
⡀⠀⠀⠀⠀⠀⠀⠉⠁⠈⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠉⠉⠉⢻⣧⢿⠻⢎⠻⣷⣾⣭⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣛⡿⠽⠛⢻⣿⣿⣿⡟⠛⠛⠛⠿⣿⡿⠃⠀⣀⣀⣤⣤⣤⣾⣧⠈⢦⠀⠑⢌⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠿⠿⠯⠭⠭⠻⠗⠒⠛⠉⠉⢀⣠⣴⣶⣿⡿⢃⣤⣤⣤⣤⣤⣉⣻⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠙⢶⣌⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣤⣤⣀⣀⣀⣀⣀⣠⣤⣶⣾⣿⣿⣿⡿⠋⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠈⠙⠛⠲⠦⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⢁⣴⣢⣿⣿⢿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡉⠑⠺⠭⣒⡒⢒⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⣫⣾⡿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣍⡛⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⢿⣿⣿⣿⡋⢁⠀⢀⡠⣠⣴⣿⡿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⢿⣿⣿⣿⣿⣿⣦⡙⠿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣠⣴⣾⣿⡿⠋⣰⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⡏⣿⣷⢾⣎⢻⣿⠿⠟⠻⣿⣟⣆⠙⣿⣷⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⡿⢀⢞⣿⣿⣿⣿⣿⣿⡟⣵⣾⠟⢱⣿⣄⡿⡿⠛⣿⠀⢿⣧⡀⠢⣿⣿⣿⣧⡈⢿⣿⣜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⢃⢯⣿⣿⣿⣿⣿⣿⠋⢾⡽⠃⠀⣸⠃⢸⡇⣧⢀⢸⡀⡀⡹⣷⣼⣿⣿⣿⣿⣿⣮⢿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⢃⣾⣿⣿⣿⣿⣾⡿⠁⢀⡾⠃⠀⢀⡏⠀⢸⣇⣷⣾⣞⣧⢉⢁⢹⣿⣿⣿⣿⣿⣿⣿⡎⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⠟⡠⣰⣿⠃⠀⢠⣿⠁⢀⣸⣿⡿⠉⠺⢿⡨⠀⠘⠝⣿⣿⣿⣿⣿⣿⡿⡘⡎⣿⣿⣿⣿⣿⣿⣿⣿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⣿⣿⣿⣿⣿⢏⡞⣰⣿⠁⠠⠀⣼⡟⠀⠈⣿⣿⣷⠀⠘⢾⡇⠀⡁⠀⠙⣿⡿⢛⣹⣽⣿⡯⢽⣸⣿⣿⣿⢿⣿⣿⣿⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⣀⣀⣀⣀⣴⣦⣾⣿⣿⣿⣿⣿⣿⡿⢃⠎⣼⡿⠁⠀⠀⢠⣿⡡⡀⣠⣿⣿⣿⠈⠀⠀⣿⠀⣠⣶⣿⣿⣿⣭⣶⣿⣿⣿⠈⣟⣿⣿⣿⡜⣿⣿⣿⡆⣼⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠉⡽⣻⠟⣹⠟⠀⠹⣿⣿⣿⣿⣟⡁⣀⣼⡟⠀⠀⠀⡰⣾⣯⣍⣿⣿⣿⣿⣿⠀⠀⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⢸⡹⢻⣿⣇⣿⣿⣿⣃⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠼⣼⠋⣸⠏⠀⠀⠀⢘⣿⣿⡟⠀⢃⣿⢛⢗⡶⣷⣾⣿⣿⣿⢿⡿⢻⣿⣿⣿⣴⣾⢿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣟⢹⣧⠸⣷⠘⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⡇⢰⡏⠀⠀⠀⢀⣾⣿⠏⢀⣨⣿⣷⣾⣿⣿⣿⣿⣯⣭⣉⡛⠒⣾⣿⠿⠋⠉⠁⢚⣿⠁⠀⠹⣿⣿⣿⣿⣿⣿⣿⠘⣿⡆⣿⣧⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢰⠁⠘⣆⠀⠀⢠⣿⠿⠁⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⡆⠋⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠙⠗⠚⠛⠉⠀⠉⠀⣿⡇⡙⢸⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣄⢰⣿⠀⠀⠘⠄⢠⣿⣿⣾⠿⢿⣿⣿⣿⣿⣿⣷⡈⠉⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡅⡇⢸⣿⣄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣫ ⣿⣿⣿⡇⢸⠀⠠⠛⣫⣍⠀⠀⢸⡟⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⡇⢸⣿⣿⣧⡹⣿⣿⣿⣿⣿⣿⡿⢋⣴⣿⡿ ⣿⣿⣿⣷⠈⡇⠀⠀⢻⡻⡀⠀⢸⡇⣿⣽⣟⡇⢻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⣠⣿⣿⣧⡇⢸⡏⣿⣿⣷⣌⠻⣿⣿⡿⢋⣴⣿⡿⣫⣾ ⠻⠿⠿⣿⡆⢱⣰⡄⠸⢷⣟⣆⣸⣷⠇⣿⣿⣿⠈⣿⣌⣿⣄⠀⠀⠀⢰⣤⣀⣀⣀⣀⣀⡠⠤⣶⣾⠏⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡇⣾⣿⢹⢿⣿⣿⣷⣝⠻⣄⣾⡿⢋⣾⣿⣿ ⠀⠀⠀⠈⣿⡆⢻⣿⣄⠀⠙⢯⡹⣿⣰⣟⣿⣿⡇⢹⣿⢿⣿⣷⣦⡀⠀⠙⣿⣷⣦⣤⣤⣶⣾⣿⣟⣰⠟⠀⠀⣠⣾⣿⠃⣿⣿⣿⠃⣿⣿⡤⣸⣹⣿⣿⠟⣷⣾⣿⣴⣿⣿⡿⠋ ⠀⠀⠀⠀⠸⣿⣾⣿⣿⣷⣦⣼⣿⢷⡟⠨⣿⣿⣷⠈⣿⡸⣿⣿⣿⣿⣶⡿⣿⡿⠟⠉⣵⣄⣼⣿⡌⠋⢀⣠⣾⡟⢹⠃⠀⣿⣿⣿⠀⣿⣿⣧⡇⠟⣿⣫⣾⡿⢫⣿⣿⣿⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣷⣷⣿⢰⣿⡆⠉⣷⣿⣿⣿⣿⣿⣿⣿⣷⢾⣿⣙⠛⠉⠁⣀⣴⣿⠟⠁⢠⢏⣞⣾⣿⣿⣿⢰⡏⣿⣿⣶⠸⣹⣿⢟⣠⣿⣿⡿⠁⠈⢙⠗ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢰⣏⣨⣿⣿⣿⣿⡟⢸⣿⣿⣿⣏⡇⢻⣷⣿⣿⡟⠁⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⠏⢻⣿⠇⣼⣿⣿⡀⢹⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⠩⠥⠄⣀⣴⣿⣿⣿⣿⣿⣿⣿⡇⢸⡏⣼⣿⣿⣶⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠋⠀⢀⡟⢰⣿⣿⣿⡇⢸⣿⣿⡿⣿⣮⡛⢿⣿⣿⣿⣿⣿⣯⣷⣾⣿⣿⠿⢛⣋⣿⣿⣿⠿⣻⡇⣿⡇⢯⣿⣿⣿⣿⣻⣯⣇⡄⠄⠀⠀⠀⠀⠀ ⣶⣦⣴⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣿⠁⣿⣿⣿⣿⡇⠀⣿⣿⣿⣮⡻⣿⣷⣍⡻⣿⣯⡙⢻⣿⡏⠹⣿⡿⠟⢋⣿⢟⣵⣿⣿⡇⣿⡇⠘⣿⣿⣿⣿⣿⣿⡜⣿⣮⣆⠀⠀⠀⠀ ⢤⣤⣉⠙⠛⠻⢿⣿⣿⣿⠁⠀⣠⡾⠋⣼⣿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣮⣟⢿⣿⣾⣿⣾⣭⣛⠳⠦⠛⠤⢴⣞⣵⣿⡿⣫⣾⣇⣿⣿⠀⢿⣿⣿⣿⢿⡈⣷⡘⣿⣿⣦⡀⠀⠀ ⠀⠐⠬⢍⣓⡶⢤⣀⣉⠉⠛⠶⢶⡄⣼⣿⠃⢻⣿⣿⡇⢸⣽⣿⣿⡏⢻⣿⣿⣿⣿⣻⢿⣷⡉⠙⢻⣿⠶⠶⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⡄⠸⣿⣿⠏⠘⣷⡹⣷⡘⢿⢿⣿⣦⣀ ⠀⠀⠀⠀⠀⠉⠑⠒⠽⢿⣲⣤⣎⣾⠟⠉⠛⠳⠿⣿⣧⠈⣿⡏⣿⡇⠀⢿⣿⣿⣿⣿⣷⣿⣧⣼⡟⠛⢿⣆⡿⣡⣾⣿⣿⣿⣿⣿⣿⣿⣇⢧⢻⣷⡀⠀⠉⢿⣾⣷⣤⡑⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠙⠛⢳⣦⣄⣀⡀⣸⠀⣿⡷⢼⣷⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⢸⡎⢿⣧⠀⠀⠈⢻⣿⣿⣿⢿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣀⡀⠀⠀⠀⡀⢀⣠⣀⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣵⡶⢶⣶⣦⣄⣠⠀⠀⡀⠀⠀⠀⠀⠀⢀⣠⣾⣿⢿⡿⣿⣦⣤⣶⡿⠟⠛⠛⢿⣆⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣿⠋⠀⠀⠀⠈⠙⠻⠿⣿⠿⠿⠿⠿⠿⠿⣿⣿⡿⣯⢿⣽⣻⢿⣿⠁⠀⠀⠀⠀⠈⣿⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢺⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣽⢻⣿⣿⣿⣿⣿⣿⣶⣦⢠⣤⣤⣿⣯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣻⢿⣿⣿⣿⡿⣯⣟⡿⣿⣿⣿⢿⡿⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⡾⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣾⣯⣟⣿⣿⣿⣽⣷⣻⣽⣿⣿⣿⣿⣻⣽⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠉⠙⠿⠾⠿⣾⣿⣿⣿⡿⣽⣾⢏⠁⠀⠀⠀ ⠀⠀⠀⠀⢤⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣾⣽⡿⣿⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⢻⡇⠀⠀⠀⠀ ⣀⣀⣄⣀⣿⣇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡴⣾⣿⡶⢶⡶⢆ ⠚⠉⠉⠙⢻⡏⠉⠉⠀⠀⠀⢠⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⠀⠀⠀⠀⢸⡇⠂⠀⠀⠀ ⠀⠀⠀⢠⣺⣿⣤⣤⠀⠀⠀⠈⠻⠟⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠘⠻⠋⠀⠀⠀⠀⠐⢳⣿⠷⡾⠦⠔⠀ ⠀⠀⠘⠋⠙⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣼⣏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣎⡀⠀⠀⠀ ⠀⠀⠀⢠⣴⠿⠋⠉⠙⢿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⢿⠏⠀⠀⠈⠙⠃⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⠹⣻⣷⣶⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣶⣾⠟⡫⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣴⡾⠛⣹⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⢩⣿⣿⣿⣿⣯⠙⠻⣾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣨⡾⠟⠟⠻⣷⣴⣿⣿⣿⣟⣿⣿⣧⣀⠀⠀⢀⣠⣿⣿⣿⣟⣿⣿⣧⣴⡿⠛⠻⢷⣆⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⢿⡅⠀⠀⠀⢸⣿⣿⣿⣟⣾⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣟⣿⣿⡇⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⣾⣿⣿⢿⣾⣿⣽⡿⣯⣿⣟⣿⣿⣻⣿⣾⣟⣷⣿⣟⣿⣷⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣦⣀⣸⣿⣿⡿⣿⣻⣾⣟⣿⣿⣽⣿⣻⣾⡿⣷⣿⣻⣿⣾⢿⣻⣿⣧⣠⣴⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⢿⣿⣿⢿⣟⣿⣽⣿⣻⣾⢿⣾⣿⣷⣿⢿⣽⣿⣳⣿⡿⣿⣿⣿⠍⠁⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡟⠿⠿⠿⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⢿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣦⣤⣤⣀⣤⣤⣤⣼⣿⣦⣤⣤⣠⣤⣤⣴⡶⠟⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠉⠉⠉⠉⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⢀⢀⡠⠤⠒⠒⠲⠤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠁⠙⡮⣂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣢⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣦⣂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠱⣥⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠮⣶⠞⠛⣛⣛⣛⣷⠶⠀⠀⠐⢶⣟⣛⣛⡛⠓⠿⡚⣮⡀⠀⠀⠀ ⠀⠀⢀⢪⠛⠁⠀⣠⣚⣶⣶⡶⡆⡗⠀⠀⠰⡇⣶⣿⣿⣟⡢⠄⠀⠙⣮⢄⠀⠀ ⠀⢀⢦⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣳⢆⠀ ⠀⢨⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠈⢯⠄ ⠀⡬⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⡼⠁⠀⠀⠀⠀⠊⡄ ⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⡦⠤⠤⠤⠤⠤⠤⠴⠒⠋⠁⢰⠇⠀⠀⠀⠀⠀⠀⡇ ⠰⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⢀⣴⠛ ⠀⠁⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢵⠙⠀ ⠀⠀⠀⠀⠩⠗⠲⠤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡤⠴⠶⠚⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠐⠂⠈⠀⠈⠉⠁⠀