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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡿⠿⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠛⠛⠿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠛⠁⠀⠀⢠⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡇⠀⠀⠈⠻⣿⣷⡄⠀⠀⠀⠀⢀⣀⣀⡀⠀ ⠀⢀⣤⣤⣄⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣆⠀⠀⠀⠘⠋⠙⠻⡆ ⠀⠈⣉⣉⡉⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣇⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⠀⠀⣶⠿⢿⣦⠀ ⠀⠾⠛⠙⠻⠀⠀⢰⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣷⣶⣶⣶⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⠉⠀ ⠀⠀⢀⣀⡀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⢀⣴⣶⣶⣦⡀ ⠀⣴⡿⠟⢿⣦⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠈⠉⠁⠈⣿⡇ ⠸⣿⡅⠀⠀⠁⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⣀⣴⡿⠃ ⠀⣹⣿⣶⣤⠀⠀⠀⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠛⢻⣷⠀ ⠀⣿⣯⣈⣁⡀⠀⠀⠈⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠏⠀⠀⢰⣶⣾⠟⠀ ⠀⠈⢻⣿⣟⣁⣤⡄⠀⠈⠻⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠃⠀⢀⣀⣀⣽⣿⠀⠀ ⠀⠀⠈⠛⠿⠟⠛⠁⠀⠀⠀⠈⠛⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⠿⠋⠀⠀⠀⠘⠛⠟⠛⠁⠀⠀
⠀⠀⢀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀ ⠀⢠⡿⠁⠀⠀⠀⠠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀ ⢠⡟⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⣀⠀⠀⡀⠀⣤⣤⡀⠀⠀⠀⠀⠈⣷⡀ ⢸⡇⠀⠀⠀⠀⠀⠀⠻⠿⠃⠸⣧⣴⣦⡿⠀⠛⠟⠁⡀⠀⠀⠀⠀⢹⡇ ⠘⣧⠀⠀⠀⠀⠀⠰⣧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠹⣤⠇⠀⠀⠀⢀⣿⠁ ⠀⠘⢷⣄⠀⠀⣴⢂⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣀⡦⠀⣠⡾⠃⠀ ⠀⠀⠀⠙⠃⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠚⠋⠀⠀⠀
⠀⠀⠀⣠⣶⣶⣄⣴⣶⣄⣴⣶⣄⣴⣶⣤⣤⣶⣦⣠⣶⣦⣠⣶⣦⣠⣶⣶⣄⠀⠀⠀ ⠀⠀⢰⡿⠁⢸⣿⡏⠸⣿⡟⠈⣿⡿⠀⣿⣿⠀⢿⣿⠁⢹⣿⠁⢹⣿⠃⠘⣿⡄⠀⠀ ⠀⠀⣿⠇⠀⠀⠉⠀⠀⠙⠀⠀⠘⠁⠀⠈⠁⠀⠈⠁⠀⠈⠃⠀⠀⠉⠀⠀⢺⣷⠀⠀ ⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀ ⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀ ⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀ ⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⣾⡏⠀⠀⠀⠀⠀⠀⢾⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡷⠀⠀⠀⠀⠀⠀⠀⢿⣇ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣶⣶⠄⠀⠀⣶⣾⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⠀⠀⠀⠀⠀⠀⢠⣾⡆⠀⠀⢠⣶⡄⠀⠀⢰⣷⠀⠀⠀⣶⡆⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠹⣿⣤⣤⣾⠟⠀⠀⠀⠈⢿⣷⣤⣴⡿⠃⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠁⠀⠀⠀⠀⠀⠀⠈⠙⣉⣠⣶⡆⠀⠀⠀⠀⠀⢸⡿ ⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣿⡇ ⠀⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⣼⡿⠀ ⠀⠈⠿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀ ⠀⠀⠀⠈⠙⠿⢷⣦⣤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣴⣶⠿⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀
*⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀ ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡁⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠉⠉⠀⠀⠉⠉⢦ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁⠀*
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠤⡶⠲⠲⠖⠖⠖⠶⠤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣤⣀⣤⣤⣶⣿⡟⢉⠉⡁⢐⣠⣤⣤⣄⡀⠠⠀⠀⠀⠉⠙⠲⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢶⣿⣿⣿⣿⣿⠍⡐⠠⢁⠂⢰⣿⠿⢿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠑⠊⣝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⠿⣙⠢⠉⡄⠱⠀⢆⠀⡀⠀⠀⠀⠀⠈⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢌⢣⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⣭⣳⠢⠡⠁⠈⡁⢎⡐⣂⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⢿⠋⡀⠀⠀⠀⠀⠰⣬⣾⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣎⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣊⣔⣀⡀⠀⠀⠀⣿⣟⠡⡉⢀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠾⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⢛⠛⢛⣿⣧⣄⣸⣿⣿⡿⠿⠿⠿⢿⣤⣤⣀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡡⠀⢾⣿⣿⣾⣿⣿⢧⡐⡀⠀⠀⣾⣧⣿⣿⡏⠛⢦⡄⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⢿⣷⣄⠈⠻⠿⠟⣻⠻⣷⣲⢡⠀⠀⠻⢿⣿⠿⠃⢀⣼⠇⢐⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣹⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⠉⢷⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣻⣯⠻⢿⣿⣤⣴⡶⣟⢣⡽⢿⣧⣟⣤⡒⡤⢤⣤⣶⠿⠃⡐⢌⠠⠀⢂⠒⠠⠀⢂⠀⠀⠀⠌⣀⢻⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠈⢯⡄⠀⠀⠀⠀⠀⠀⣿⣿⣯⢿⣿⣮⣝⢯⡹⡱⢎⢣⠛⡷⣭⣛⠿⠿⠿⠿⢛⢁⠢⡑⢨⠀⠆⡉⠤⡘⠄⠡⠀⢀⠐⢀⡘⢠⣿⡿⣤⡀⠀⠀⠀ ⠀⠀⣀⣀⣀⣀⣀⣤⣬⣿⣂⠀⠀⠙⣆⠀⠀⠀⠀⠀⢸⣿⣟⣯⡿⣽⣿⣎⠵⡱⢈⠂⢍⠰⡁⠙⠛⠶⢶⠌⠂⠄⡃⠄⠃⠘⡐⠌⠂⠐⠀⠂⠀⡀⢈⠠⣐⣷⠏⠀⠈⣷⠀⠀⠀ ⡶⠋⢣⡠⠀⣠⠀⠀⠀⠀⠉⠂⠀⠀⢸⡄⡀⠀⠀⠀⠀⣿⣿⣯⣟⣯⣟⣯⡳⣅⠣⠌⢀⠣⠀⠀⠀⠀⠀⠀⠀⢀⠁⠠⠁⠂⢀⠠⠀⠈⢀⠀⡁⠠⢀⣶⠟⠁⠀⢰⣿⠛⠀⠀⠀ ⣧⣤⡼⠥⠤⠓⠶⠒⠈⠉⠉⠒⠢⢄⡈⠛⣇⠀⠀⠀⠀⠘⣿⣾⣽⢯⡿⣽⣳⢮⣱⣎⣴⣨⣡⡄⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢀⠠⡐⢄⠒⠠⣵⡿⠇⢒⠲⣾⠛⠁⠀⠀⠀⠀ ⠹⢯⣤⣀⣤⣤⣤⣴⣦⣴⣤⣤⣀⣴⠄⣸⡿⠀⠀⠀⠀⠀⠹⣿⣿⣻⣽⣻⣟⣛⠛⡛⢛⠛⡛⠛⠛⠋⣉⣩⣥⡴⣖⠳⣎⠥⣍⢢⠱⣈⢦⣩⣿⢋⣤⡶⠖⡀⠉⣲⡦⢤⣀⣀⠀ ⠀⠈⠉⠉⠉⠉⠉⠀⠈⠉⠙⠛⠻⠿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣯⣷⣿⣿⣷⣯⣦⣳⣴⣳⣮⣿⣿⢷⣧⣟⣼⡻⣬⢳⣎⢧⣻⣴⡿⠟⠛⣿⡏⣠⡼⣫⡾⠋⠰⣦⠀⠈⠑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⡾⣽⢯⣟⣾⣻⣿⣿⣣⣶⣣⠍⠛⠿⣾⣏⠀⠀⠀⣼⣆⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣷⣿⣿⣯⡀⠀⢀⣿⠻⠿⠛⠛⠉⠁⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⢤⡀⠉⢛⠿⠿⠿⢿⣿⣿⡿⠟⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣷⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠀⣀⣀⣤⣴⣒⣀⣠⣀⣀⣰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣶⣿⣿⣿⣿⣿⡟⢣⡏⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣯⣽⣼⣯⢭⡝⠛⡟⠡⢌⠣⠜⣿⣧⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠿⡤⠉⡌⠓⠺⢦⡼⠖⣋⠔⣈⠢⢁⣿⠟⣧⣠⢤⣶⣿⣿⣿⣿⣿⡟⢣⠝⣷⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⠿⣶⣥⣤⣀⣄⠠⢌⣳⣬⡾⢾⢛⣩⣿⡿⡿⢿⠿⡿⣗⠺⡏⢙⡿⣄⠂⡜⠠⢮⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣉⠉⠉⠙⠛⣉⣥⣶⣾⣿⣿⡿⣵⢫⣃⢎⡐⡉⠛⠿⣉⠳⡌⢷⣄⠓⣼⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠻⠟⠛⠋⠀⢾⣿⣟⠻⠿⢷⣼⣦⣴⣠⣍⣲⣥⣳⣼⡾⠟⠛⣉⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢿⣶⣢⣄⣀⣈⠉⢉⡙⢉⣡⣤⣶⡶⠿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠓⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⣠⣾⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣆⠀⠀⠀ ⠀⢠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣧⠀⠀ ⢀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⠀ ⣸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⡄⠀⠀⢀⣴⣦⠀⠀⠀⠀⣠⡀⠀⠀⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠀⠀⣾⣿⠁⢀⣶⡆⠀⣻⣿⠀⠀⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠛⠿⠛⠁⠀⠀⠹⣿⣶⣿⠿⣿⣶⣿⠏⠀⠀⠀⠉⠉⡁⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⢹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⢀⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⢈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇ ⠈⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀ ⠀⠘⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⢰⣶⡀⠀⠀⠀⠀⣰⣿⡟⠁⠀ ⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⣾⡟⠁⣠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣄⣠⣿⠇⠀⠀⣠⣾⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣿⡆⠀⠀⠙⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠁⠀⣶⣿⡿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
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♡ ☆ .♡‧₊˚ you ╭◜◝ ͡ ◜◝╮ ㅤ ╭◜◝ ͡ ◜◝╮. ( ^ ∀ ^。 ) ♡ ( ^ ∀ ^。 )☆ ♡ ╰◟◞ ͜ ◟◞╭◜◝ ͡ ◜◝╮ ͜ ◟◞╯♡ . ☆ ㅤㅤ( ^ ∀ ^。 )☆ ♡ do ♡   ╰◟◞ ͜ ◟◞╯ . ☆
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⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠴⠶⠶⠶⠶⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣤⣤⣤⣤⣤⠴⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠟⠀⠀⠶⠀⠀⠀⠀⠀⠸⠂⠀⠻⣦⠀⠀⣠⣄⡀ ⢀⣯⡃⠀⣼⠃⠀⠀⠀⠀⢰⣄⠀⣀⡷⠀⠀⠀⠀⠘⣧⠀⠖⠦⠁ ⠀⣀⡀⢰⡇⠀⠀⠀⠀⠀⠀⠉⠙⠉⠀⠀⠀⠀⠀⠀⢸⡇⡤⣤⡀ ⢸⡁⠙⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⣼⠃ ⢸⣟⡃⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⢤⡿⠀ ⠀⠻⠷⠖⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠋⠀⠰⠾⠃⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⣻⢟⡵⣫⠟⠁⠀⠀⠀⠁⠀⠀⢠⣴⣿⡿⠋⠑⣹⡿⢡⡿⢹⣿⡟⢷⣟⣿⡿⠿⣿⡿⣾⣝⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣫⠞⢡⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠉⠀⠀⠐⠟⠀⡞⢸⣿⠇⡇⠘⣿⣸⡸⡌⠻⣿⣎⢫⣧⡻⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⠃⢠⡾⢁⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⣰⣱⢧⣧⣤⡇⠀⡏⡏⡇⢹⡀⣽⣿⣷⡝⢿⣿⣆⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡟⡔⣠⠏⡰⡿⠀⢀⡀⡀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⢀⣿⠏⢸⡿⣿⠃⠀⢿⣧⣱⠀⢧⢹⣿⣿⣷⡌⢯⣯⣿⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⣹⠿⠋⣸⢏⡾⠏⠁⣴⠋⡸⠀⠀⣠⡟⣠⠦⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⢸⡇⣿⠀⠀⢸⣿⣿⠀⠸⣾⣿⣷⣻⣿⡌⢯⣿⣏⢱⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣟⣽⠋⠀⣰⠃⠀⠀⠀⠈⠉⢠⠇⠀⣠⢟⣜⢁⡜⣠⠀⠀⠀⡀⣀⢸⡟⢀⠀⣿⢰⡇⠀⠀⢸⣿⣿⡇⠀⣿⣿⣿⣏⢻⣿⡈⣿⣾⣟⢣⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡟⣼⠇⡀⣠⠃⠀⠀⠀⠀⠀⠈⢋⡾⢱⡟⠈⠉⠋⠀⠋⠀⡼⢠⡯⢋⣿⠀⢚⢻⣇⣼⡇⠀⣄⡸⣿⣿⣧⢀⢸⣿⣟⣿⡎⣿⣷⣼⣿⡿⣿⠆⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⡟⣼⡏⣸⢁⡏⠀⠀⠀⠀⠀⠀⢀⣾⢣⡟⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⣼⡏⠀⠈⣾⡏⣿⠁⠋⠛⢠⣿⣿⣿⣾⠀⣿⣿⣹⣿⢹⣿⣿⣏⡇⢸⣀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⡿⣰⡟⣸⣿⣾⠀⠀⠀⠀⠀⠀⢀⠞⡏⣼⠁⠀⢠⠀⠀⠀⣰⡏⠀⠀⢸⣿⡇⠀⠀⣿⢱⣿⠀⠀⠀⢈⣿⣿⣿⡏⠀⣿⣿⣿⣿⣇⣿⣿⣿⣿⡟⠛⡇ ⠀⠀⠀⠀⠀⣾⣿⣿⣡⡿⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⡞⣼⢸⡇⡴⢀⡟⢀⠀⢰⣿⠀⠀⢠⡿⢸⡇⠀⢸⣿⢸⣿⠀⠀⠀⢸⣿⣿⣿⣷⠀⣿⣿⣿⣿⣿⢹⣿⣿⣿⣧⣤⢿ ⠀⠀⠀⠀⢰⣿⣿⢣⣿⢃⣿⣿⣿⠀⠀⠀⠀⠀⠀⡼⠀⢇⣿⡾⢣⣾⢀⠏⢠⡟⣿⠀⢀⣿⢣⢻⡇⠀⣾⡇⢸⣿⠀⠀⠀⢸⣿⡿⣿⣿⠀⢻⣿⣿⣿⣿⡟⣿⣿⣥⣿⠹⣿ ⠀⠀⠀⠀⣿⣿⣯⣿⡟⣸⣿⣿⡟⠀⠀⠀⣾⠁⢰⠁⢸⣾⣿⣷⣿⠇⡾⠀⡾⣁⡇⠀⣼⠇⡆⢸⡇⠀⣿⡇⣿⣿⡇⠀⠀⢸⣿⡇⢿⣿⡆⢸⣿⣿⣿⣿⣷⣿⣿⣿⠁⢧⠃ ⠀⠀⠀⢰⣿⣿⣿⣿⠁⣿⣿⣿⡇⠀⠀⡼⡇⢠⠇⠀⣿⣿⣿⡟⢿⢰⡇⢰⠷⠁⡇⠀⡿⡸⠀⠸⡇⠀⡿⣿⣿⣿⡇⠀⠀⣿⣿⠀⢸⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠀ ⠀⠀⠀⣿⣿⣿⣿⡟⢸⣿⣿⣿⠃⠀⢰⢱⢀⡌⠀⠀⣿⡿⠛⠲⠾⡿⣇⡿⠶⠶⢧⢰⣗⣒⣒⣲⢿⠀⡇⢹⣿⣿⡇⠀⠀⣿⡟⠀⠈⣿⣿⡸⣿⢿⣿⣿⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⠇⣿⣿⣿⣿⠀⢀⠏⣾⡿⠁⢀⣼⢻⣲⡶⣦⣤⣁⣹⣁⡀⠀⠈⢾⡀⠀⠀⠀⠸⡄⡇⠘⡇⢻⣿⠀⢸⣿⣷⣒⠦⣼⣿⣧⣿⠘⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⣾⣿⣿⣿⡿⢠⣿⣿⣿⡇⠀⡼⠀⣿⠃⠀⡚⣾⣿⡿⠿⢿⣿⣿⣿⣛⣒⣿⣯⣗⠳⠄⠀⠀⠀⠙⠦⠀⢳⠈⢿⣇⣸⣿⠇⠀⠈⠉⠻⣿⣿⠶⢼⣿⣿⣿⢿⠇⠀⠀⠀ ⠀⣸⣿⣿⣿⣿⡇⣸⣿⣯⣿⡇⢸⠁⢀⡏⠰⢰⢱⠃⠙⢿⣄⡀⠀⠀⢏⠉⠫⠟⣻⡿⣷⡂⠀⠀⠀⠀⠀⠀⠈⠀⠘⣄⠉⢹⣒⣶⣒⣦⣤⣬⣿⣤⣌⣿⣿⡏⣻⡄⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⡇⡆⠀⢸⠀⡆⠘⢸⠀⠀⠈⠐⠛⠓⠒⠒⠓⠒⠒⠮⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠿⠿⠿⣿⣶⡼⣿⣿⣿⣷⣽⡿⠀⣾⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⢳⠃⠀⠀⠀⡇⡄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠤⠄⣀⣸⣄⣉⣱⣋⡼⠟⡿⠇⢰⣿⠀⠀⠀⠀ ⣿⣿⣟⣿⣿⣿⢸⣿⣿⣿⣿⢸⢀⠀⠀⠀⡇⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠋⠁⢠⢱⠂⣿⣿⠀⠀⠀⠀ ⣿⣿⣼⣿⣿⡟⣸⣿⣿⣿⣿⣼⢸⠀⠀⢠⡇⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣻⢠⣿⣿⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⡿⣿⠀⠀⠸⡇⢸⡆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣴⡏⣾⣿⣿⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⡇⣿⠀⠀⢠⣿⠸⣿⡀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢁⣿⣿⣿⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⡇⣿⠀⠀⢸⣿⡆⢿⣧⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣼⣿⣿⣿⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡅⣿⣿⣿⣿⣿⣿⣿⡀⠀⢸⣿⣷⣸⣿⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⢹⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣯⣿⣿⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⠒⠛⠻⠭⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣷⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⣿⣿⣿⣿⣿⣷⠈⣿⣿⣿⣿⣿⣿⣿⡄⢸⣿⣿⣿⣿⣿⢿⠦⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣇⣻⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⣯⣆⠀⠀⠀⠈⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⢹⣿⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢹⣿⣿⣿⣿⠻⡿⣧⡀⠀⠀⠀⠀⠈⠓⠤⣀⠀⠀⠀⠀⠀⣠⢤⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⠸⣿⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⡇⠀⠙⢎⡻⣶⣄⡀⠀⠀⠀⠀⠈⠑⠒⠶⠒⠉⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢸⣿⣿⣿⣿⣿⣿⠀⣿⣇⠀⠀ ⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠙⢮⡛⠿⢦⣄⠀⠀⠀⠀⠀⢀⣴⡾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⡯⠀⢸⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⢻⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⢿⣄⡀⠀⠀⠀⠀⠈⠳⣄⠙⣷⡀⠀⣠⣾⢟⡡⠞⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⡇⠀⢸⣿⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠹⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⣿⣠⣤⣤⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣧⠀⠀⠀⠀⣿⡏⠀⠈⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡾⠉⠉⠟⠀⠀⠀⠀⠉⠁⠀⠀⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇ ⣠⣄⠀⠀⠀⠀⠀⢀⣾⠁⢹⣧⠀⠀⢈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⠀ ⣿⠛⢷⣤⣤⡴⠶⠾⠃⠀⠀⣿⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠏⠀⠀ ⢻⡆⣀⡀⠀⠀⠀⠀⣀⣀⠀⣿⡟⠁⠀⠀⠀⠀⠀⢀⣠⣤⠶⠞⠋⠁⠀⠀⠀ ⠸⣿⡿⠟⣿⣄⡾⠟⡛⢓⣿⠋⠀⠀⠀⣀⣤⡶⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣷⣼⣁⣽⣧⣽⠿⠋⢁⣠⣴⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡿⠛⠉⠁⠀⠀⠰⣯⣁⣠⠴⠛⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣾⠋⢀⣄⠀⠀⠀⣀⠀⢿⡷⠦⠴⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡏⢠⣿⢹⣧⠀⣾⠻⣧⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢷⠟⠁⢸⡏⠀⣿⠀⠻⣦⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⢸⡟⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ .⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡀⡀⠀⡠⠐⠒⠲⡦⡀⠀⠀⡌⠆⠠⠃⠹⡷⠊⢀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡫⠀⠂⠉⢺⡾⢀⡠⠆⠀⠹⣼⡀⠀⠇⠋⠀⠀⠀⠀⠈⠁⠀⢸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡎⡁⠉⢷⠂⡰⢲⡄⠀⠄⢇⡔⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣁⡀⠘⣄⠀⠀⠀⠀⠀⢀⣴⡝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⠁⠀⠀⠀⠀⣸⡆⠀⠘⡄⠀⠀⠀⡀⠤⠒⠊⠉⠁⠀⠀⠀⠀⠀⠈⠢⡀⠀⢀⣴⣿⡋⢀⣀⣀⣠⠄⠤⡄⠀⠀⠀⠀ ⠀⠀⠀⠘⢤⠀⠀⢀⡴⠋⠀⠀⠀⠈⣦⣔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⣹⣿⡿⠉⢪⡠⠈⠋⠊⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⠚⠉⠀⠀⠀⠀⡠⠊⢿⣿⣷⣦⡴⠉⡹⠹⡦⠂⠐⢲⡄⣀⣤⣶⣾⣿⠿⢿⣿⡄⠀⠈⢢⡀⠀⣴⠃⠀⠀⠀⠀ ⠀⠀⠀⢀⡠⠤⢤⣀⡔⢈⠳⣶⠁⣠⣿⡿⠟⠻⢧⠛⠀⠀⠀⠀⠀⣸⣿⡿⠿⠋⠁⠀⠀⢀⠟⠛⣧⣀⢀⡘⢴⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣇⠞⠀⠛⠑⠁⠀⣿⠲⠿⣿⠁⠀⠀⠀⠣⡀⠀⠀⢀⣴⣿⣏⠀⠀⠀⠀⠀⠀⢀⠚⠁⠘⠀⠂⣹⠀⣡⡀⠀⠀⠀⠀ ⠀⠀⢀⠜⠠⠀⠀⠀⠀⠀⣰⠃⠀⠀⠈⠑⠢⡀⠀⠀⠈⠢⠔⠋⠘⣿⣿⡀⠀⠀⠀⠀⠀⠈⢦⠀⠀⢀⣴⣯⡀⣿⣇⠀⢀⠠⢄ ⠀⡐⠁⠀⠀⡈⠢⢀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠓⠚⠁⠹⣿⣿⣿⢿⠉⠀⠀⡜ ⡘⠀⠀⢰⣟⣿⣷⠀⠉⠀⢠⡾⢻⣷⡀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠏⢸⠀⢀⠜⠀ ⠇⠀⠀⠸⣿⣿⠟⠀⠀⠀⠘⣿⣿⣿⠃⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⡈⣠⠊⠀⠀ ⡀⠀⠀⠀⠀⣠⣄⡀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⣀⣠⣴⣾⣿⠟⠁⢀⡜⠐⠁⠀⠀⠀ ⠇⠀⠀⠀⠀⠘⠿⣿⣦⣾⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣶⣶⣤⣤⣾⣿⣿⣷⣶⣾⣿⣿⡿⠟⠋⠁⠀⡠⠊⠀⢸⡀⠀⠀⠀ ⠘⡄⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢏⠉⠙⠛⠛⠛⠋⠉⠉⠉⠉⠁⠀⢀⡠⠔⠊⠀⠀⠀⠀⢇⠀⠀⠀ ⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠒⠤⠤⠄⠀⠀⠀⠄⠒⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠑⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠊⡇⠀⠀⠀⠀⢀⡠⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠒⠉⠀⠀⠀⠈⠁⠀⠀⠀⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⡏⠁⠐⠒⠒⠒⠒⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⠒⠀⠀⠀⠒⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠠⠤⠤⠄⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀∧‌ ‌∧‌ ‌ ‌ ‌ ⠀⠀⠀‌(*^∀^)‌ ‌ ‌ ‌ ‌ ‌ ‌ ⠀|‌ ̄‌U‌ ̄‌U‌ ̄‌ ̄‌ ̄‌|-┐‌ ‌ ‌ ⠀‌|‌ ‌ ‌♡︎‌ ‌♡︎‌ ‌♡︎‌ ‌ロ‌|‌ ⁽ʸᵒᵘʳ ᵗᵉˣᵗ ʰᵉʳᵉ ♥⁾ ‌ ‌ ⠀‌|‌ ‌ ‌ ‌ ‌ ‌¨¨¨¨‌⠀|⠀-┘‌ ‌ ‌ ⠀ヽ‌_‌_‌_‌_‌_‌ノ‌
⠀⠀⣀⡤⠖⠒⠒⠦⣄⠀⠀⢀⡤⠶⠒⠲⠤⣄⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠈⢷⣰⠋⠀⠀⠀⠀⠀⠈⢧⠀ ⢠⡇⠀⠀⠀⠀⢰⣿⣦⢸⡏⢰⣶⣶⠀⠀⠀⠀⢸⡆ ⠀⣇⠀⠀⠀⠀⠈⠛⠉⣸⢻⡈⠙⠋⠀⠀⠀⠀⣸⠃ ⣰⠋⠢⣄⣀⣀⣀⣤⠞⠁⠀⠑⠤⣄⣀⣀⡤⠞⢳⡀ ⡏⠀⠀⠀⢌⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢠⠀⣧ ⣇⠘⢄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⢁⡏ ⠘⢦⣀⠀⠀⠘⠲⣄⡀⠀⠀⣀⡤⠖⠁⠀⠀⣠⠞⠁ ⠀⣠⠼⢛⡷⣲⣶⠶⣿⣶⣾⡯⢤⣴⠶⡖⠯⣅⡀⠀ ⠾⡅⢀⡞⢠⣿⡿⠀⢿⣿⣿⠇⠸⣿⣇⠙⡄⠀⡽⠀ ⠀⠑⢾⢀⣾⣿⠇⠀⢸⣿⣿⠀⠀⣿⣿⡄⢹⡖⠃⠀ ⠀⢠⡞⣉⣙⠛⢓⡒⠚⣻⡛⠓⢒⠛⠛⣛⠛⣧⠀⠀ ⠀⠀⠉⠉⠈⠛⠋⠉⠚⠁⠙⠚⠉⠛⠊⠉⠉⠉⠀⠀
⢞⢦⡀⠘⡜⡄⠀⠛⠀⠀⢀⣞⣁⣀⣀⣀⣀⣀⣀⠀⠀⢠⡿⠋⣀⣤⡶⠾⡆⠀⠀⠀⠀⠀⠀⠀⢸⠒⠀⠀⠐⠒⠦⣄⣀⡏⠙⠚⠙⡖⠉⠀⠀⠀⠀⠀⠀⢳⣀⣀⣀⠀⠀⠀⠀ ⠀⠑⣝⡄⠈⠁⠀⠀⣴⠚⣉⡥⠔⠒⠓⠋⠉⣉⣉⣹⠿⠟⠋⠉⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⢀⡴⠚⠳⠄⢀⡴⢥⡖⠉⠉⠉⠉⠉⠑⢺⠀⠀⠀⠉⠓⢤⡀ ⠐⠂⠀⠀⠀⠀⠀⠀⢻⡊⠁⢀⡠⠴⢒⣨⣽⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⡉⠀⠒⠒⠒⢺⡴⠂⠉⠉⠉⠉⢳⠄⠀⣠⠀⠀⣀⠟⠒⠦⠤⢀⡀⠀⡼⠀⠀⠀⠀⠈⠀⣕ ⠀⠀⠀⠀⠀⠀⠀⢀⠏⢳⡞⢁⡤⢖⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⠓⠒⠲⡶⠻⣄⣠⠤⠐⠊⢉⣶⡾⣿⣷⡴⠙⢦⣄⡀⠀⠀⠈⣹⠁⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⢠⣾⠖⠋⠻⢅⣠⠞⠁⠀⠀⠀⢠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠓⠈⢡⠹⣴⠁⠀⠀⠀⡰⢋⣏⣾⣹⣏⡿⡇⠀⢫⢯⡓⠲⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠲⢦⡤⠄⠒⠚⠉⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⢠⠏⡀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⢀⠌⢃⠙⣧⡀⡠⠊⢀⠞⠒⠚⡏⢻⠀⡇⠀⠈⠏⢧⠀⡆⠀⠀⠀⠀⢀⠤⡀⠀⠀ ⠀⠀⠈⠉⢓⡶⢖⣶⠖⠋⠀⠀⠀⠀⠀⠀⢠⠇⠸⡼⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⡾⡀⠣⣈⠿⣀⡴⠃⠀⠀⠀⠃⢸⠀⡇⠀⠀⢸⠘⡆⣧⠀⠀⠀⠀⠸⡀⠹⠀⠀ ⠀⣀⣀⡴⠿⠒⠉⠀⢀⡔⠀⠀⠀⠀⠀⠀⡎⠀⠀⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢸⠀⣧⣤⣔⣚⡤⠽⠘⣆⠀⠀⠀⠀⠙⢤⡇⠀ ⠉⢹⠖⠒⠒⠒⠚⢉⠟⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠈⢧⡀⠀⠀⣠⠛⢦⡀⠀⠀⠀⠀⠙⢤ ⢰⠏⡀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢰⢻⠀⠀⡸⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣦⡞⠁⠀⡸⠳⣄⠀⠀⠀⠀⠀ ⡎⣰⠇⠀⡀⠀⢸⠁⠀⠀⠀⠀⠀⢀⡏⢸⠛⢲⣇⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⡇⢳⡀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡴⠁⠀⢸⣷⢦⣀⠀⠀ ⣣⢿⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⣸⠀⠀⡆⠸⠈⠃⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣹⠤⡧⠬⢧⣀⡀⠀⢸⡘⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠤⣀⢔⣛⡳⣄⠀⠸⠸⡄⠈⠣⠀ ⢿⠘⡀⣸⡀⢸⡇⠀⠀⠀⠀⠀⠀⣿⣀⣉⣻⡷⣄⠀⠈⣆⠀⡀⠀⠀⠀⠀⠀⢸⠋⠈⡆⡇⠀⠈⢇⠉⠀⠀⢣⠁⠀⠀⠀⠀⠀⠀⠀⠀⢣⠋⠑⢎⡾⣄⡇⡏⠳⣆⠀⣿⠀⠀⠀ ⠀⠀⢧⢸⣧⠘⡇⠀⡆⠀⠀⠀⠐⣯⣾⡿⠿⣷⣌⠀⠀⠙⣆⢻⡄⠀⠀⠀⢀⡿⣖⣒⢻⡧⢤⡀⠈⢷⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⣆⠀⠀⢷⢠⢃⡛⢭⢝⢷⣿⣄⠀⠀ ⠀⠀⠈⠻⡞⣆⢣⠀⣷⠀⠀⠀⢸⣿⠏⢀⣾⢏⣻⡇⠀⠀⠘⢾⡞⢦⡀⢀⣞⣼⡿⢿⣿⣷⣶⣌⠓⠈⢷⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⡬⣃⣁⣰⠾⡈⠉⢠⣧⠜⡼⢹⡇⣴⠀ ⠀⠀⠀⠀⠀⠈⠻⣧⠸⣧⠀⠀⢸⣿⠀⢸⡳⠚⠊⢻⠀⠀⠀⠀⠁⠀⠛⠞⢋⡴⡿⢽⣛⠻⡟⢿⣷⣄⠈⢧⡎⠀⠀⠀⠀⠀⠀⠀⠀⡞⣞⠁⡞⡇⢰⠳⣠⡿⠉⡆⡇⢸⣡⣿⠀ ⠀⠀⠀⠀⠀⠀⢸⢛⡗⠿⡷⣴⣌⢻⠀⠘⣧⠀⠘⢹⠀⠀⠀⠀⠀⠀⠀⠀⡘⡔⣉⡙⠒⠻⣿⠈⢿⣿⡄⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⡍⡇⢰⢞⡶⡍⣓⠪⡕⣡⣿⣁⣇⡰ ⠀⠀⠀⠀⠀⠀⢸⣸⠀⢀⣇⡼⢹⠻⣧⣠⡙⢾⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣁⡇⠀⣰⡏⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠓⢬⣵⡎⡟⠁⠀⣠⢻⡝⠡⡟⠋⠀ ⠀⠀⠀⠀⠀⠀⠘⢯⣠⠼⠋⠀⢸⠐⢊⢴⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⢴⠞⠩⠤⣀⡿⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣁⠴⠋⣸⣷⠁⠀⡴⠁⠀⢳⠀⢻⠀⢀ ⠀⠀⠀⠀⠀⢀⣴⣏⣱⣀⠀⠀⡞⡰⡋⠫⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⡵⡷⣶⠮⢥⡶⠖⠀⠀⠀⠀⠀⠀⣀⡴⢊⣵⡞⠊⠁⣠⠞⠹⡡⣄⠎⠀⣀⡠⠚⣉⣉⣁⠲ ⠀⠀⠀⣠⡴⠋⣿⡄⠀⠀⠉⢳⣿⢿⡉⠙⠓⠦⡄⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠊⠘⠜⠑⠻⠭⠤⠤⠤⠤⠤⠒⠚⡽⠿⠚⠁⠀⣧⢴⠯⠀⠘⠆⣣⢻⠢⡎⣤⢫⣹⢸⣳⠷⡣ ⣶⣆⠉⠉⠉⠙⢿⣿⣶⣶⣦⣞⣙⢧⡳⢄⣀⣀⣸⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠈⡆⢇⠀⢀⣻⠌⡍⠀⡯⠇⢻⡄⣔⠊⠣ ⠉⠉⠓⠤⠤⢴⣞⠻⡍⠉⠉⠑⢾⠀⠙⢦⣤⠼⢥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠦⠤⠤⠤⠖⠚⠙⡄⠀⠀⠸⡘⡭⢥⣔⢣⢻⡄⡞⠙⡆⣿⡘⡄⣀ ⠀⠀⠀⠀⢰⡋⠉⠙⡟⢲⣤⣴⣾⡇⠀⣠⡇⠀⠀⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡶⢞⡙⣅⢷⡀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⢳⡰⡏⠀⠉⣄⣧⣙⠶⠬⠧⠭⢿⡶ ⠀⠀⠀⠀⠈⡇⠀⠀⣧⣼⣿⠁⠀⢙⠶⡏⡇⠀⢀⣇⣨⢿⡛⢳⠒⠒⣶⣦⠀⠀⠀⠀⠀⣠⣼⡖⠛⣿⠈⢮⢧⡀⠀⠀⠀⠀⠀⠀⣨⠖⣫⠭⠥⡝⢆⠀⣨⢿⢄⢸⠉⢉⡩⢆⡇ ⠀⠀⢀⣠⢮⡹⡄⠀⣹⣛⣾⡀⠀⠀⡦⣭⣇⣀⡼⣁⡇⠀⣣⠸⣆⡴⢿⣍⡙⠋⠉⠙⠋⣀⣴⣶⡾⢉⣷⣾⡿⣧⡀⠀⠀⠀⠀⠸⠴⢇⢷⣄⡠⢃⣞⣀⠸⠘⡼⡈⡩⠤⣔⢯⡀ ⠀⡴⠋⣇⠀⣳⡉⠉⡽⠱⡌⣇⠀⢀⠇⠏⠙⣆⠤⠞⠉⠉⢉⡇⡏⢀⣿⡋⠛⠻⠿⠿⠿⠿⠻⠟⣹⣿⣾⠈⠙⢿⣷⡀⠀⠀⠀⠀⠀⢘⠎⢋⣠⡔⠒⢢⠙⣇⢡⢃⢣⠀⠈⢓⠞ ⡀⠻⣄⠀⠉⠀⠀⠉⢧⡠⠏⠓⠙⠋⠉⠓⠚⠁⠀⣀⠤⠔⢻⣶⣇⣾⡏⠉⠳⠤⠔⠤⠤⠔⢋⣽⡟⠉⠁⠀⠀⢸⣷⣿⣄⠀⠀⠀⠀⠈⠙⣌⢧⢙⡶⢋⠜⠘⠮⠛⠬⠀⡠⠀⢽ ⢄⠀⢸⣉⠙⠦⠤⠤⠤⢤⣀⣠⠤⠦⠤⠖⠊⠉⠉⢁⣀⡴⢺⠧⠬⣍⠻⢦⡀⠀⠀⠀⠀⢠⣿⣿⠇⠀⠀⠀⢀⡾⠃⡏⣉⣓⡶⡆⠀⢀⡔⣽⣂⠥⠺⢽⣦⡀⠀⠀⠀⠞⣴⡩⠆ ⡘⢀⣸⣄⡟⠲⢦⠀⠤⢤⣤⠤⠤⠤⠄⣠⡶⢶⠉⣱⣋⣵⢾⠀⠀⢨⠗⢦⣙⡯⣵⣶⣖⣻⣏⠤⠭⢍⣙⠚⠉⣡⠔⠀⠀⠀⠹⣿⣤⠊⠀⠈⠀⠀⠀⠀⠈⠛⢦⡀⢸⢠⠐⠚⠉ ⣳⠋⠈⣯⠙⠻⠭⠄⠘⣧⣤⣽⣀⣀⠀⠑⠶⠭⠒⠋⠉⣀⠜⠀⠀⠈⢳⣠⢻⣻⣷⡷⠚⠉⠀⠀⠀⠀⠀⠹⠍⠈⢆⠀⠀⠀⠀⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠺⣼⠀⠀⠀ ⢫⡽⠀⠈⠓⠢⢤⣀⣀⡀⠀⠀⠀⠀⢀⣀⣠⡤⠴⠒⠋⠁⠀⠀⢠⡴⠿⣇⣼⣿⣛⡒⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⢀⠜⣽⡿⡝⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀ ⠈⢷⣄⣀⡠⠐⠊⠁⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡼⠁⠀⠀⠉⠛⠯⣌⠳⣝⣄⠀⠀⠀⠀⠀⠀⠀⠀⣨⣶⡥⢾⣹⢣⠃⠀⠀⠉⠓⢦⣀⡀⠀⠀⠀⠀⠀⠈⢣⡳
⠀⢀⡤⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠃⠀⠀⠉⡂⠀⠀⡠⠒⠒⢄⠀ ⡋⠀⠀⠀⠀⠐⡤⠁⠀⠀⠀⠀⡇ ⠱⡀⠀⠀⠀⠈⠀⠀⠀⠀⠀⡐⠁ ⠀⠈⢦⠀⠀⠀⠀⠀⢀⠐⠁⠀⠀ ⠀⠀⠀⠀⠑⠦⡀⡔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡖⣶⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣤⣄⠀⠀⣼⢧⣻⣜⢯⢧⠀⠀⠀⠀⠀⠀⠀⢀⣾⣛⠿⡄⠀⠀⠀⠀⠀⠀⠀⢠⡿⡼⣳⡞⡄⠀⠀⣠⣤⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⢾⣿⣿⣿⡇⡼⣏⠾⠍⢺⣏⡞⣧⠀⠀⠀⠀⠀⢀⣞⢧⡯⣻⡝⡄⠀⠀⠀⠀⠀⢀⣾⢳⡥⣼⡹⡽⡄⢸⣿⣿⣿⡷⠀⠀⠀ ⠀⠀⢀⣤⢬⠙⢻⣿⣿⣿⣿⣿⣶⣤⣿⣼⣳⣷⢶⡶⣦⣄⡼⣏⡞⣀⢳⣏⣿⣤⣶⡾⢿⡆⣼⣧⣯⣬⣷⣿⣿⣿⣿⣿⡟⠋⠁⠀⠀⠀ ⠀⢀⣾⡙⡾⣥⠨⣿⣯⣿⣟⣿⡿⣿⣿⢿⣿⣟⣧⣻⡭⣈⣻⣷⣽⣭⣷⣾⡟⣾⣀⣝⢯⣿⣿⣿⣿⡿⣿⣟⣿⣿⣽⣿⡧⣖⣆⠀⠀⠀ ⠀⣾⢣⡷⣞⡳⣯⣿⣷⣿⢿⣻⣿⣿⣽⣿⣿⣇⣐⣷⣯⣿⣼⣯⣷⣿⣾⣿⣼⣧⣟⡎⠛⣿⣿⢿⣾⣿⡿⣿⣿⣾⣾⣿⡿⣱⡞⣆⠀⠀ ⠈⠚⠁⠀⠀⠙⢫⣿⣿⣻⣿⡿⣿⣾⡿⣿⣶⣿⣿⣿⣿⣟⣽⣫⢷⡹⢮⣳⢟⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣷⣿⣯⣿⣇⣱⢯⣝⡆⠀ ⠀⠀⠀⠀⠀⣠⣼⣿⡿⣟⣯⣿⣯⣿⣿⣿⣿⣿⣽⣿⣽⣷⣮⣟⡾⣹⢷⣻⣯⡿⣿⣻⣿⣽⣿⢿⣿⣿⣼⣿⣼⣿⣻⣿⡷⠚⢷⣎⠿⡄ ⠀⠀⠀⠀⣰⣟⢼⣿⡿⢟⡛⣛⠻⠿⣿⣿⣾⡿⠟⠋⠉⠛⠿⢿⣿⣿⡿⠿⠟⠛⠋⠛⠿⣯⣿⣿⣿⠿⢟⡻⠿⢿⣿⣿⡇⠀⠀⠉⠋⠁ ⠀⠀⠀⢠⡿⡼⢦⡟⡜⢦⡙⠴⣋⠵⣊⠝⣿⡒⠶⠤⣤⣀⠀⠀⣘⣘⡀⠀⠀⣀⣠⠤⠒⢚⡿⣋⠦⡙⢦⠱⡙⢦⡙⣳⡶⡄⠀⠀⠀⠀ ⠀⠀⠀⠛⠕⢀⡿⢬⠱⢢⢍⢳⣬⣶⡟⠾⠶⢛⠛⠉⠉⣀⡀⠀⢙⣛⡉⠀⢀⣀⠉⠉⢓⠻⠶⠗⣾⣿⣷⣯⡕⣎⠱⣡⠻⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡱⢎⠳⣉⣾⣿⣿⡟⡀⠆⡑⠠⢡⠀⡾⢭⣙⢻⣙⠲⢭⠫⣝⢪⣷⠀⠠⠊⠤⠡⠘⣿⣿⣿⣿⣆⢏⡴⢩⠽⣟⡄⠀⠀ ⠀⠀⠀⢠⣾⢧⠓⡬⢣⣽⣿⣿⣿⠃⡐⠄⡘⠄⡹⢸⡛⡴⢩⠲⣌⠳⣃⠯⣰⢃⢾⡆⠐⡁⠆⣁⠣⢹⣿⣾⣿⣿⡸⡔⢫⠜⣻⡽⡄⠀ ⠀⠀⢠⣟⣿⢌⠧⢣⢣⡏⣿⣻⣿⠠⠐⢂⡡⠊⠀⣾⡱⡱⢣⠳⣌⠳⢥⠳⠥⣎⡝⡇⠀⠰⠈⡄⠢⢸⣿⣿⣿⢾⡧⣙⢆⡛⠼⣿⠽⡄ ⠀⢠⢿⡼⣇⠞⡸⢅⣻⠅⠘⣿⣿⡆⠀⠀⠀⠀⠀⣿⢱⠱⢣⠳⡌⢏⡎⢣⡝⢢⠞⡇⠀⠀⠀⠀⠀⢸⣟⡿⠳⠃⡷⣉⠦⣍⡓⣿⠛⠉ ⠀⣾⢣⣿⣇⡛⡜⢎⣼⡄⠀⠈⠻⣷⡀⠀⠀⠀⠀⠻⣎⡳⠭⠾⣱⣪⠼⠓⠾⣥⣺⠇⠀⠀⠀⠀⢀⣾⠟⠁⠀⣠⡷⣉⠖⡦⡙⢿⠀⠀ ⠘⠊⠿⢸⢣⠜⡼⢌⣿⠉⠀⠀⠀⠈⠛⢦⣀⡠⠴⠶⢤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⣄⣠⢴⡚⠁⠀⠀⣰⢯⡗⣱⢪⠴⡙⣾⠀⠀ ⠀⠀⠀⢸⢎⡜⢦⢩⣿⠀⠀⣤⢤⣾⡟⣷⡏⠀⠀⠀⠀⠹⣦⣤⣤⣤⣤⣤⣤⠏⠀⠀⠀⠈⢻⣟⣿⠆⠀⢠⢿⣩⡟⣤⠣⢞⡡⣿⠀⠀ ⠀⠀⠀⢸⣎⡜⢆⡣⢽⠀⣼⣭⢟⡾⡛⠻⣇⠀⠀⠀⠀⢰⣿⣿⡿⠿⣿⣿⣿⡄⠀⠀⠀⠀⣸⡿⡽⡀⠀⠿⠷⢹⡗⢦⡙⢆⡳⡗⠀⠀ ⠀⠀⠀⢸⡧⣚⠜⣰⢻⣽⢶⣣⢞⡾⡵⡀⠹⣷⠤⢤⣶⢿⡏⠁⠀⠀⠀⢩⣟⢿⣦⡤⠤⢖⣿⣝⣳⣳⡀⠀⠀⢸⣛⠦⡙⢦⢹⠇⠀⠀ ⠀⡀⠀⠀⠷⠕⠺⡵⢮⡟⠞⠀⠀⠘⠛⠃⠀⠈⢻⠛⠛⠛⠁⠀⠀⠀⠀⠀⠙⠛⠁⣽⠿⠋⠉⠈⠣⠷⠃⠀⠀⢸⠖⠷⠋⠳⠟⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠃ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠟⠉⠉⠉⠻⡿⠋⠉⠉⠉⢻⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠻⠿⠿⠿⣾⣟⣛⣭⣥⣲⣴⡷⠶⠛⠋⠁⠀⢀⣠⣤⣶⡶⠟⠛⠛⠛⠉⣉⣀⠀⠀⠀⠀⠉⠉⢉⡙⠂⡄⣀⠀⠹⣶⠾⠋⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡶⠶⠶⠶⠛⠳⠶⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡆⠵⣈⠒ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⢀⣤⣶⠿⠛⠉⠁⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣦⣤⡈⠱⡘⠄⡆⠱⢠⠐⡌⢂⠰⣠⣤⣴⣶⣿⣿⣿⣿⡄⢸⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠛⠉⠉⠀⠀⠀⠀⠀⠀⡀⢠⣿⣿⣿⡿⣿⣻⣽⣿⣽⣯⣿⣷⣿⣿⢠⢻⡆⢥⢋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⢿⣿⣿⣿⣷⡅⡰⠈⡔⡉⠆⢡⣰⣾⣿⣿⣿⣿⣿⡿⣿⣻⣿⣇⢘⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠿⣿⣿⣿⢿⣿⣿⡿⣯⣿⡿⣷⣿⣿⡿⠋⠛⣿⡄⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣼⣿⣿⣿⣯⣿⣷⣿⣻⣿⣿⣷⣧⠀⠡⣸⣿⣿⣿⣿⣟⣿⣯⣷⣿⣿⣿⣿⣿⠂⡰⠘⢢⡄⠀⠀⠀⠀⢀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣟⣿⡿⣿⣟⣷⣿⡷⣆⠡⠈⢷⡃ ⠛⠿⢶⣤⣄⡀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣷⣿⣿⣾⣿⣿⠛⠛⡁⢹⣇⣾⠛⣿⣿⣿⣿⣿⣯⣿⣯⣷⣿⣿⣿⡟⠠⣁⠣⠄⡘⠦⡀⢀⣰⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣟⣿⢿⣿⡧⡹⣧⠈⡐⠠ ⠛⠷⢶⣥⡉⢛⣷⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⢋⣿⣿⣿⣿⣾⢿⣿⡿⠋⣡⠘⣰⡐⢸⣿⢃⣌⡈⣿⣿⣿⣿⣽⣷⣿⢿⣳⣿⣿⠇⡁⢂⠱⣈⠰⠀⡝⠻⣿⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣿⣿⡿⣿⣇⢳⡟⠁⠄⡁ ⠻⣦⡀⠉⠛⠳⣾⣸⢛⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠂⣽⣿⣿⣿⣳⣿⣿⣿⠀⠓⣀⡂⣽⣧⡾⣿⡟⠁⢆⣿⣿⣿⣿⣯⣿⣾⣿⡿⣿⣿⢠⣐⣈⣐⣀⣂⣑⣠⣡⣘⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⢿⠿⠾⢇⡈⠔⡀ ⠀⠈⠻⣦⡀⠀⣿⠙⢷⣬⢻⣦⡀⠀⠀⠀⠀⢠⠆⢡⢸⣿⣿⣿⣟⣿⣿⣿⣿⡌⠰⣿⡿⢋⡥⣰⣿⣧⠈⣼⣿⣿⣿⣿⣽⣿⣽⣷⣿⣿⣿⣿⠛⠋⠉⠉⠉⠉⠙⠉⠛⠛⠻⢷⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⠀⢀⠀⠀⠀⠈⠐⠄ ⠀⠀⠀⠘⢷⣄⣿⠀⠀⠙⢷⣝⣷⡀⠀⠀⢀⡃⠌⡲⢩⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⢿⣷⢨⡗⣷⣿⠳⡌⣹⣿⣿⣿⣿⣿⣿⣯⣿⣟⣿⣿⣿⡄⠀⠈⠀⠁⠀⠀⣀⣤⡶⠟⡛⢍⠩⢹⡿⠶⠶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠉⠀⠀⠐⠀⠀⡀⠈⠀⠂⠀⠀ ⠀⠀⠀⠀⠈⢻⣷⠀⠀⠀⠀⠛⣿⣿⡄⠀⠀⡜⢈⠰⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣧⣯⣿⣾⠿⡿⢾⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣀⠄⡀⣠⣴⠿⣋⠱⣀⠣⡜⢠⢣⣿⠃⠀⠀⠀⠈⠉⠛⠻⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠃⠀⠠⠁⠐⠀⠁⡀⠠⠁⠐⡀⠀ ⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠈⢿⣇⠄⡚⣀⠆⢸⣿⣿⣷⣿⣿⠿⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠐⣨⣶⠿⡛⢛⠿⣦⣥⡂⠱⡈⢴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣵⡒⠲⢤⣤⣄⠀⠂⠌⡄⠀⡀⠌⠀⡐⠀⠀⡀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⢀⠀⠀⢸⣿⢾⡡⢐⠊⢼⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠆⠀⠀⠀⠀⠀⠀⠈⠻⣿⡻⠿⣿⣿⣿⡿⢡⣾⠟⣑⢊⠜⢢⠱⢨⠝⣿⣧⣴⡿⠁⠀⠀⠀⠀⣀⣠⣤⣶⣶⣶⠶⠷⢶⣾⣿⡑⠆⡤⢙⣻⡎⠠⢁⠆⠀⠀⠐⠀⡈⠐⠀⠄⠡⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡀⠀⢸⣿⢸⠃⠄⣉⣿⣽⡿⠻⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠐⠀⠀⠀⠀⠀⠈⢻⣶⠐⢎⠹⢻⣿⡁⠉⠀⠉⢈⠁⠎⢡⠚⣜⣿⠻⣶⢶⡶⢶⠿⣛⠛⣩⠑⡤⢋⠛⠿⣶⣼⢿⡟⡑⢎⡔⠣⢌⣷⣁⠂⢌⠂⡅⠠⠀⡀⠠⠈⢀⠁⠀ ⠒⡄⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢸⣿⢸⢠⠁⢸⣿⡏⡄⠃⡆⠙⣿⣦⠀⠀⠀⠀⠀⠘⣿⡇⣤⣤⣤⣤⣤⣶⣶⣾⢻⢻⣷⣿⡟⢠⠃⣼⣾⡟⠃⠀⠀⢹⣦⠀⠀⠁⠘⣿⣷⢠⡆⡜⢢⠑⣦⠙⣤⠉⡖⢩⡜⢢⢡⠙⣿⣿⣯⡆⡜⢱⢨⠘⣿⣦⢠⠈⠐⢡⠂⡔⢠⠂⡌⢱⠀ ⢢⠙⣄⠀⠀⠀⢸⡿⠀⠀⠀⠀⢠⣿⡏⠧⢐⠨⢸⣿⢡⠘⡰⢈⣱⣾⢿⣷⣤⣀⠀⠠⡉⢿⣿⢋⢻⠉⠏⣻⡏⠏⣿⣤⣶⣿⣯⣷⠶⠟⢻⡇⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⡀⢻⣧⢢⠑⡎⡱⢄⠳⣈⠵⣈⠧⡘⢦⣉⠒⠬⡹⢿⣴⢁⠇⡎⢆⠩⡛⠧⡌⡄⠡⡈⠄⣃⠐⡌⠡⠊ ⣆⢍⠲⡀⠀⠀⣼⠇⠀⠀⠀⣠⣿⠓⡬⢁⠢⢁⣜⣿⡀⢣⢐⣾⣿⠿⣾⠇⡍⣛⠻⠟⣿⣿⡿⠗⠀⠈⠀⣿⠇⠀⠘⠉⠉⠉⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⢿⡄⠹⣧⡣⠜⡡⢎⡱⢌⠲⡐⠦⡙⢤⢊⠝⣢⠑⠦⡙⠬⡘⠜⣌⠣⡜⢡⠒⡩⠱⢌⠳⠘⢧⣀⡴⠦ ⣿⠨⡅⢣⠀⣰⡿⣦⣤⣴⣾⠟⡡⢃⡒⣉⣶⡾⠛⢻⣇⣶⣟⣻⡏⣼⡏⠀⠈⠀⠁⠈⣼⡟⠁⠀⠀⠀⢸⣿⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠰⣿⡄⠀⠀⠀⠀⠀⢻⡇⠀⠀⢸⣧⠀⠙⢿⣖⡡⠎⡔⢪⠥⣙⢢⠙⣢⠩⠜⡤⢋⠖⣉⠖⣉⠚⡤⢓⡌⢣⡙⢰⡉⠎⠀⠀⠈⢿⡀⠀ ⡗⠸⣐⢣⣼⡏⠁⠀⠙⣿⠹⣧⡡⢣⡶⠟⢁⣀⣤⣾⠿⠃⣼⡿⢰⡿⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⢸⣿⠀⣽⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢿⡄⠀⠀⣹⣿⣦⡉⠖⡘⡔⢪⡑⠦⡙⢜⡰⢉⢆⣥⠚⡌⠳⡌⢣⡘⡡⠜⠡⠀⠀⠀⠀⠀⠈⢷⡀ ⠙⠳⣶⣿⡏⠀⠀⠀⠀⠸⣷⢹⣿⡿⢟⠛⡛⠭⡁⢆⠢⣁⣿⠁⣿⠁⢠⣄⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⢸⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣗⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⢸⡇⣠⡾⠋⢀⣽⠿⢷⣥⣚⡤⠱⢡⣉⣦⣶⠿⠛⡅⢳⣈⠓⠬⣁⡖⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠉⠻⣧⣄⠀⠀⠀⢻⣯⣿⣦⡁⢎⠰⡡⢚⠠⡑⣸⡿⢸⡏⠀⢸⡇⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⢸⣿⠀⣿⢧⣀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡀⠀⠀⠀⠀⠀⠈⣿⡀⠀⢸⣿⠉⢀⣴⡟⠉⠀⠀⠈⠉⣻⣿⢷⣿⡋⠴⣡⢋⡜⡡⢢⣹⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣧ ⠀⠀⠀⠀⠀⠀⠙⢷⣄⢠⣿⣿⠏⠹⣷⣌⠒⠡⠎⢴⢫⣿⡇⣾⠇⠀⣿⠃⠀⠀⠀⣿⡇⠀⠀⠀⠀⠠⢿⣿⣂⣿⡇⠙⠻⠶⣦⣤⣤⣤⣴⣾⣿⣶⡿⠷⠿⠛⠂⠀⢻⡇⠀⠈⣿⡶⠟⠁⠀⠀⠀⠀⢀⣼⣼⡟⠢⣽⣯⠑⣢⢃⠦⠱⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢿⣽⡽ ⠀⠀⠀⠀⠈⠷⣦⣬⣿⣿⠛⠁⠀⠀⠈⢙⣿⣅⣊⣾⣿⣿⣧⣿⠀⢠⣿⠀⠀⠀⢣⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⢀⠀⠀⠈⠉⠉⢼⣿⡇⠀⠀⠀⠀⠄⠀⢸⣷⠀⠀⣿⡇⠀⠀⠀⠀⠀⣠⢾⢣⣿⠈⡕⣸⣿⠘⡤⢃⢎⡱⠤⣉⠛⣦⡀⠀⠀⢀⣠⡴⠞⠉⠀⠀⠉⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠠⣀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⣿⠀⠀⠀⢸⣿⡇⠀⣠⡶⠀⠀⢹⣿⣿⣿⣯⠀⠀⠀⠀⢀⣀⣤⣤⣾⣿⣧⣤⣤⣤⣤⣤⣤⣾⣿⣿⠀⢻⣇⠀⠀⠀⢠⠞⣩⢢⣿⠣⣑⠸⢸⣿⡇⡜⠡⠎⡔⢣⠆⡭⢐⡡⠂⠀⠈⠁⠀⠀⠀⠀⠀⢶⣿ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢸⣿⣄⠀⠀⢸⣿⣷⣶⠟⠀⠀⠀⢸⣿⣿⣿⣿⣴⣶⢾⠿⠟⣛⣿⣿⣿⣿⣷⣾⣷⣃⣜⣿⡿⠟⣿⣿⣰⣾⣷⣶⣶⡞⢩⡘⢤⣿⢃⡱⠤⣉⣿⠟⢿⣦⣽⣀⣓⡌⢊⡔⣳⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿ ⡌⠳⢤⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⢸⡏⠻⣿⣿⣿⣿⣿⡁⠀⢀⣀⣤⣾⡿⠟⠛⠩⢁⠂⡄⠂⠴⣻⣿⣿⠿⠛⠻⣿⣿⣿⣿⣿⣿⣼⣿⣿⡏⢹⡟⣻⡟⡑⢆⡱⢟⡡⢎⡰⢡⢚⡿⠀⠀⠀⠉⠉⠛⢿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⣷⢑⡊⡕⢦⠀⠀⠀⠀⠀⣿⡇⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡀⢼⡇⠀⠀⠀⢸⣿⣿⣧⣾⣿⣻⡙⠄⡰⢈⠔⢡⠊⡘⢄⠁⢺⣿⣿⣿⠀⢀⣰⣿⣿⣿⣿⠙⢿⣿⣿⣿⣇⣼⣿⣿⣷⣭⡾⠿⣷⣶⢢⠡⢣⣿⠃⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠡⠀ ⣟⠰⡘⡌⢆⡹⠄⠀⠀⣸⡿⢛⠥⣃⠌⣻⣿⣿⣿⣿⣿⣿⡏⠀⣿⢻⡇⠀⢀⣠⣾⣿⣿⣿⣿⣿⣯⠛⡀⡑⠨⠐⢂⠡⡐⠌⠄⡙⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠇⢸⣿⣿⣿⡏⢹⣏⢻⡟⠣⣄⣿⣯⡹⣧⡃⣿⠏⠀⠀⠀⠀⢀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢃⠀ ⣻⠰⡱⢘⢢⠱⢌⠃⣠⣿⢑⡊⢖⢡⠊⢽⣿⣿⣿⣿⣿⣿⡇⢀⣿⣹⣧⣾⣿⢋⣽⣿⡿⠻⣿⣿⣿⣿⣧⡄⠡⢃⠢⢐⠰⢈⠒⡀⠛⠻⢿⣿⢿⣿⡿⣋⣠⣾⠁⣸⣿⣿⣿⣷⢸⡏⠄⠠⣱⣿⡻⣿⢿⢿⣿⠏⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡁⠀ ⢉⠖⣡⠋⢆⡍⢆⣵⡟⡡⢊⡑⠎⣄⣯⡾⠿⣿⣿⣿⣿⣿⠃⠰⣿⣺⣿⣿⣿⣿⣿⣯⢀⣤⣿⣿⣿⣷⠟⢁⠒⡀⠆⠡⢂⡁⠎⡐⢡⠈⠌⠻⢿⣷⣾⡵⣟⠁⢀⠛⡛⢿⣿⣿⣼⡇⠌⡐⢿⣿⣿⢏⡠⣾⡇⠀⠀⠀⠀⠀⠰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠘⡄⠀ ⠷⣾⣤⣭⣶⡾⠛⠋⠶⢷⣥⣾⡿⠛⠁⠀⠀⣿⣿⣿⣿⣿⠁⣸⣿⣽⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⡟⣿⡦⢂⡘⠤⠘⢠⠡⡐⠤⢁⠢⠡⠌⡀⢻⣷⣾⣾⠿⠛⡀⠂⠄⣿⣿⣿⣾⡇⠐⣠⡾⠿⠛⠛⠻⡿⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⢀⡠⢔⢢⠒⡱⢜⠢⢆⡴⣀⠀⠰⠄⠀ ⡀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠉⠙⠻⣦⡀⠀⢸⣿⣿⣿⣿⣿⠀⢼⣿⣿⣿⣿⣿⣿⢿⣿⣿⣽⣿⣭⣿⡿⠁⠄⡈⠆⡁⢂⠑⡐⠂⢌⠂⡑⢢⠐⡈⠄⡈⢁⠄⡲⠴⠁⢌⣿⠿⣿⣿⠃⠁⢀⠀⠀⢀⠠⠀⠀⠀⠑⢠⠀⠀⠀⢺⡇⠀⣀⠞⠤⢃⠎⡴⡉⠴⣉⢆⢣⠒⡥⢋⠖⣆⠀ ⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⣼⣿⣿⣿⣿⣿⠀⢺⣿⣿⣿⣿⣿⣷⡄⣻⣿⣿⠛⢟⣿⣷⡿⢀⠐⠠⠻⠇⢄⠡⠉⡄⢊⠰⠁⡜⠠⢃⠘⡠⢊⠐⡠⢉⠄⡀⠂⣿⣿⠀⠀⠂⠀⠁⡀⢀⠀⠁⡀⢀⠀⠙⡀⠀⢸⣷⢈⠲⢌⠣⣍⠚⡤⣉⠖⡡⢎⠦⡙⠴⣉⠞⣜⠢ ⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⢀⣿⣿⣿⢿⣿⣿⠀⣹⣿⣿⣿⣿⣿⠸⣷⡈⠙⠋⡁⠿⠛⢋⠀⠢⡘⠄⡁⠆⡌⠤⠡⠐⠌⠠⠃⠤⠁⠆⠌⡐⠠⢃⠰⢁⠒⠠⣹⣿⡇⠀⠀⠌⠀⡁⠀⠠⠀⠂⠀⠂⠠⠀⠰⠀⠸⣿⡌⡑⢎⡱⢢⡙⢔⢢⡙⡔⠣⡜⣡⠓⡌⢞⡥⢊ ⡈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣸⣿⣿⣿⣿⣿⣿⡄⣽⣿⣿⣿⣿⣿⠀⢹⣷⠈⡐⠤⠡⢌⠠⢊⠡⠐⢂⡐⠢⠌⠄⢃⡘⠌⡑⠌⢂⠑⡈⠒⡈⡑⠄⢊⡐⠨⡐⢾⣿⠇⠀⠀⢂⠀⠄⠠⠁⠂⢀⠁⠐⠀⠐⠀⠆⠀⠸⣷⡡⢊⡔⠣⡜⣌⠒⡜⡰⢃⡜⢤⢋⡜⡸⢆⠣ ⣷⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡟⠛⠉⢛⢿⣿⣿⡆⣽⣿⣿⣿⣿⣿⠔⠀⢻⣦⡐⢈⠁⠆⢡⠂⡡⠉⡄⠤⠁⢌⣐⡠⢈⠐⡡⢊⠄⡡⢈⠡⢄⠡⢊⠔⠠⢁⣃⣾⣿⠀⢀⠂⡀⠈⠠⠀⠄⡁⠠⠀⠌⡀⠈⢀⡱⠀⠀⠹⣧⠣⢌⠳⡰⢌⠳⢨⡑⢣⠜⣢⠣⡜⣡⢏⠒ ⢿⣧⣷⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣸⡟⠀⠀⠀⠈⠻⣿⣧⣿⣿⣿⣿⠟⠁⠀⠀⠀⠙⣷⣌⠂⠌⣀⠒⠤⢡⠐⡂⡁⠂⢿⠛⠆⠂⡔⠡⠂⠤⠁⠆⠂⡅⠢⢈⠐⣬⣿⣿⠇⡐⠤⡀⢄⠀⡁⠠⠀⠀⠄⠠⠀⢠⠘⠠⡐⠀⠀⠀⠙⢿⣄⡓⠌⡎⢜⡡⢎⡱⡘⢤⠓⡸⢤⡋⠜ ⠀⢻⣿⡄⠀⠀⠄⠀⢿⣿⢛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠈⣿⣿⡿⢿⡏⢀⠀⠈⠐⠀⠀⠀⠙⢿⣦⣄⢌⣐⣀⡂⠄⡑⠈⡄⠌⠤⡁⠰⢁⠊⢄⠩⠐⡁⢂⣡⣦⣿⣿⠿⣿⠀⡐⠤⠡⠌⠒⣀⢃⡐⠢⢄⠒⢉⠂⠌⢰⠌⠀⠀⠀⠀⠀⣿⡿⠘⣌⠲⣐⠣⡔⢩⢆⡹⣐⠣⢎⠱ ⠀⢸⣿⢿⣆⠀⠀⠀⠀⢿⣯⣦⣴⣦⣤⣤⣄⣀⡀⠀⠀⠀⢹⣿⡇⠀⡠⠌⣂⠀⠀⠁⡈⢀⠀⠀⠈⠙⠿⣿⣝⠛⠷⣦⣅⡐⠨⠐⡁⠃⠌⡈⢄⢂⣡⣼⡾⡟⣵⣽⣿⠿⠻⣿⡄⢂⡁⢊⠡⢂⠆⡈⢁⠂⢌⡠⣈⠾⠁⠀⠀⠀⠀⠀⠀⠹⣧⣣⢄⠣⢢⠑⡌⢣⠜⡰⢡⢋⣌⠣ ⠀⢸⣿⠀⢻⡇⠀⠀⠀⠀⠁⠀⠀⠀⠈⠈⠉⠙⠛⠻⠷⣦⣈⢿⣷⠀⡅⠂⢄⠡⣀⠀⠀⠀⠀⠄⠀⣀⠀⠄⠛⠻⣦⣈⠙⢿⣿⣶⣦⣥⣦⣴⣾⣿⡿⠿⣷⣹⡟⣉⠐⢢⣱⡟⠀⠀⠉⠂⠒⣀⣦⣴⠿⠟⠛⠛⠛⠛⠻⢶⣦⣄⠀⠀⠀⠀⠈⠙⠛⠿⠿⢿⣿⣆⠎⡱⢡⠎⡤⢃ ⠀⣸⠇⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣦⢸⡁⠌⡐⢄⡉⠒⣈⠐⣈⠑⠄⠊⢬⠁⠀⠈⠻⣦⠀⠘⢿⣟⠻⣿⣭⡾⠋⠀⠀⠈⠿⠶⠶⠿⣶⣿⠇⠀⠀⢀⣤⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣦⡀⠀⠀⠀⠀⢀⣴⡿⢟⡋⢆⡱⢊⡜⡰⢡ ⡰⠏⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠹⣶⣀⠂⠌⠡⣀⠱⢀⢉⣤⣽⣤⣤⣀⠀⠀⠘⢷⡄⠀⠙⣷⣾⠏⠀⢀⣶⠿⠶⢶⡶⠶⢿⣯⣿⣦⡀⣰⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⣰⡿⢋⠔⡡⠜⡢⢜⠡⡚⢄⠣ ⠃⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡀⠀⠀⠀⠀⢀⡀⡤⣀⠤⣀⡀⠀⠀⢸⣿⠀⠀⣻⣿⣿⡿⠿⠿⠿⠟⡛⢠⠘⡛⡿⣿⣧⣀⣼⣿⡄⣀⡿⠃⢤⣤⣿⣧⣼⣼⣤⣤⣧⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⢠⡿⢣⡘⡜⣃⢇⠣⡜⢣⠸⡘⢣ ⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⣠⠴⢚⡙⡌⡱⡐⠦⣑⢢⠙⡤⠀⣼⠏⢀⣾⠏⠀⠀⠀⠀⠀⠀⢳⣼⣦⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠈⠘⣶⣄⠀⠀⠁⢸⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⣿⢡⠃⡜⠰⣁⠎⡱⠌⡥⢣⠱⢡ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣠⠚⣅⢊⠖⣌⠲⣡⢙⢢⡑⢎⠱⢂⣿⠏⢠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠁⠀⠀⠀⠙⠷⢶⣤⣼⣿⡿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢸⣿⠿⠶⠿⠛⠿⠶⠶⢷⣧⣔⡣⢌⠥ ⠄⠀⠀⠀⠀⠀⠀⢿⡀⢞⢠⠓⣌⠪⡜⣄⠳⣄⠫⡔⣉⠎⣡⣿⠃⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠈⡙⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠠⠀⠀⠀⢀⠀⢨⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣦ ⢎⡄⠀⠀⠀⠀⠀⣿⢌⢢⠣⡍⠦⣑⠲⢌⠲⢌⠲⡑⡰⢨⡿⠁⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠐⢨⣴⣿⣿⣿⡿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠐⠀⢠⣿⣿⣿⡟⠛⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈ ⢌⠆⠀⠀⠀⠀⠠⣿⠐⣪⠱⣌⠓⣌⠱⣊⠱⣊⠱⢌⣱⡿⠁⣠⣼⠟⠀⠀⠁⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣷⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢀⢂⣾⣿⣟⣿⠇⣸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠐⠀⢘⡟⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀ ⠸⢌⠀⠀⠀⠀⢸⡇⡱⢂⠳⣨⠱⣌⠱⣌⠱⣌⢥⣿⣟⣡⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⣹⣿⣿⡿⣟⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⡀⣾⣿⢷⣫⢿⣧⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⡄⣠⠄⠀⠀⢀⠀⠸⣷⠀⠀⠀⠀⢺⣷⡀⠀⠀⠀⠀⠀⠀ ⡘⠂⠀⠀⠀⢀⡾⡐⠥⣋⠒⣡⠒⡤⠓⡤⠓⣬⣿⣯⡿⠋⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⣾⠣⡘⢰⣿⡿⣽⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣯⣟⣿⡟⠁⠀⠀⠀⠀⠀⠀⣀⠠⢤⣰⣶⣾⡷⠿⠟⢫⠭⠓⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠸⣯⡿⣦⣤⣄⣀⣤⡴ ⡘⠀⠀⠀⢀⣾⠑⡸⢐⣤⣽⣶⣿⢋⠱⡌⣿⠟⠁⢻⡄⠀⠀⠀⠀⢠⣿⠓⡄⠀⢀⠾⡁⢆⡹⣾⣟⣷⣿⣿⡿⠁⠀⠀⠁⠀⠀⠀⠀⢀⢰⣼⣿⣿⣿⣿⣿⣏⠀⠀⠀⠄⠀⡄⢢⠑⣠⣷⡾⠟⢋⠡⡘⢄⠣⢦⣄⡀⠀⠀⢀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠈⠿⣶⣌⣩⡉⣅⠒ ⠀⠀⢀⡴⠏⠉⠛⠛⠋⠉⣰⡟⡡⢎⣲⡿⠋⠀⠀⠘⣷⡄⠀⠀⠀⠰⣿⡇⢬⠡⡌⡒⢌⠢⣿⣿⢯⣾⣿⣿⣷⣤⣤⣶⣶⡄⠀⠀⢀⣬⣾⣿⣿⣿⣿⠾⣽⢿⣧⡀⢀⠒⡉⣴⣵⠿⣋⣥⣴⣬⡶⠷⠾⡛⢆⠣⢌⡑⢦⣄⣀⠀⠀⠈⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛ ⠶⠞⠋⠁⠀⠀⠀⠀⠀⣸⡟⠤⢣⡾⠋⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠠⣿⡧⠘⡄⠓⡌⠢⠱⣿⣿⣿⣿⣿⣿⠋⠉⢿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣟⣿⣿⣿⣹⢯⣟⣿⣦⣑⡾⣿⣵⠾⢛⣭⣷⢶⡾⣮⣵⡐⢌⡘⢢⠘⡤⡈⢍⠳⠄⡤⣀⣄⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⣌⣶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠀⢀⠛⣿⠡⢌⢱⣾⣇⡜⣿⣿⣿⣿⣿⡇⠀⠀⠀⠉⠋⠀⠀⢺⣿⣿⣿⣯⣿⢿⣿⡷⣏⡿⣼⣳⣿⣿⣿⠿⣾⡿⠛⠁⠀⢠⠒⡠⢉⠻⢷⣮⣄⠩⡐⡉⢆⠱⡈⣔⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣟⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣷⣦⣽⣿⣷⣈⣾⠏⡹⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣿⣯⣄⠀⠀⠀⠢⡑⠰⡁⢎⠰⢹⣿⣶⣧⣜⣤⣿⣟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⢀⢀⡀⡀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣶⠾⠛⡉⣀⢀⠀⡈⢟⡟⡠⢱⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣾⣟⣿⣿⣿⡋⠔⡈⢿⣿⣿⡛⠿⣿⣿⣶⣦⣀⣅⢣⠘⡠⢃⣿⣿⣿⡉⣻⣯⣙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠋⠁⣄⣤⡞⠙⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣄⣠⡶⢉⡉⠉⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⠔⠲⠒⠛⠻⡹⠉⠇⠀⠀⠀⢠⣿⠿⡄⠂⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢨⣿⣻⠀⠀⠹⡳⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠁⢻⣆⠤⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡀⣴⡿⠕⣿⡇⠀⠰⠁⢝⡯⠉⠹⢿⠛⠳⠶⣤⡀ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡁⠀⠀⣏⠆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣬⡿⡁⠀⢹⡵⠀⠀⠀⠈⠜⠀⠀⠀⠀⠀⠀⠈⣿ ⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠇⠃⠀⠀⢹⠄⣸⣿⣉⣭⣭⣭⣿⢿⣭⣭⣭⣭⣭⣽⣧⢐⢾⣯⠁⠀⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠈⢧⠀⠠⠀⠀⠀⠀⠀⠀⣀⣍⣟⠂⠀⠀⣀⣼⣿⣷⣿⣿⣿⣿⡫⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⡃⠀⠀⠨⢹⡚⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⢨⠜⣴⣤⣶⣿⣿⣻⣿⣿⣿⣿⠟⡩⢻⠃⠀⠙⣿⣿⣿⣿⣿⡿⣿⣿⣿⣧⣤⡀⠀⣧⠈⠄⠄⠀⠀⠀⠐⠠⡀⣨⡟⠀ ⠀⠀⢠⣟⣦⣤⣤⣴⣶⣿⣿⣾⣿⣿⣿⣿⢯⣿⣿⣿⣿⣫⠞⠀⣼⡇⠀⠀⠙⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣍⢇⡀⡀⠀⠀⠀⠀⢠⣴⠋⠀⠀ ⠀⠀⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣸⣿⣿⡿⡿⠁⠀⠀⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⢣⢹⣿⣿⣿⣹⣿⣿⣿⣿⣶⣿⣵⣶⣾⣿⠁⡀⠁⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠉⣿⣿⣿⡟⠙⠀⠀⠀⡇⠀⠀⠀⠀⠰⢻⣿⣿⣿⡉⢿⢿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⠁⢠⣿⣿⠏⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⡠⠈⡞⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⡿⣃⣤⣼⣿⣯⣤⡄⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⢀⣙⣿⣧⣤⣸⡸⣿⡇⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⣟⡟⢸⣿⡿⢋⣵⣾⣿⣿⣶⣅⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢟⣽⣿⣿⣮⣍⠻⣿⣇⠸⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⡂⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡻⢀⣾⣏⢢⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣧⢺⣿⣆⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣟⠇⣼⢷⠃⣸⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡎⠀⢿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡏⠀⣿⡌⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣧⡘⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣷⠀⣿⡅⠀⢿⣿⣿⣿⣿⣿⣿⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⡯⠁⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠻⣷⠀⠘⡏⠉⣻⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡇⠀⣿⣿⣿⣿⣿⡁⢀⣾⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠑⠠⠸⠿⣿⣿⣿⠟⠁⢀⣀⡤⣤⣤⢤⡤⢄⣤⣀⡀⠹⢿⣿⣿⣿⣿⡋⠀⠛⠋⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⣴⣯⣷⣫⠥⣄⣭⣿⢿⣭⡑⢦⣄⠉⠉⠁⠀⠀⠀⠀⡞⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣛⢐⢶⣿⣿⡿⢿⣿⣿⢿⣿⣷⡷⡠⡅⡽⢆⠀⠀⠀⠀⠀⠀⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⡣⣤⣴⣽⠟⢹⠛⣿⣿⣿⡿⠿⠻⣽⢿⣓⡉⣻⡆⠀⠀⠀⠀⢀⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣾⣿⠾⡖⠛⠛⠛⠢⠤⣠⣳⣋⣶⣲⣿⠃⠀⠀⠀⠀⣞⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠂⠚⠋⠁⠀⠉⠉⠉⠉⠁⠀⠀⠀⣠⣮⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⠤⣄⣀⠀⠀⠀⠀⠀⢀⣠⡴⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣯⣵⣷⡀⠀⠈⠉⠉⠛⠛⠋⠉⠀⠀⠸⣯⡙⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⠿⠋⠸⣾⠃⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⢡⣷⡏⠘⢿⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠒⠉⠀⠀⠀⠀⢿⠁⠀⠀⠀⠉⠒⠂⠀⠀⡀⡀⡠⢸⣹⠁⠀⠀⠙⠲⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢁⡇⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⠀⡼⡄⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡿⣿⣿⡇⠁⠀⠀
⣟⡿⣻⠿⣽⣻⢯⢿⡹⣯⣟⣿⠿⠛⠉⠁⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠾⣷⣦⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣷⡈⠗⣨⢴⣋⠶⣉⠞⣬⢣⡝⣢⠝⣢⢝⣢⠓⣬⢢⠱⡘⠆⣣⣺⣿⣿⠿⡛⣥⠚⠴⣡⠒⡌⢦⡱⢈⠦⡱⢌⡒⠤⣃⠖⣌⢢⡑⠦⣘⠢⣑⠢⡜⣰⢃⢎ ⣏⣿⣹⣏⣷⣯⣛⣷⣻⣝⣫⣥⣴⣶⣾⣿⣿⣯⣭⣉⠉⠉⠙⠛⠓⠶⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠋⠁⠀⠀⠘⣿⠀⠀⠀⠀⠘⣿⣿⣟⣿⣻⣿⣿⣴⣿⡑⡞⡬⣏⡝⡺⡔⢣⢎⡵⢪⡱⢎⢦⡙⢤⢃⣧⣽⣾⡿⣿⠟⣢⢃⡗⣆⢫⣓⢤⢋⠴⢣⡱⣉⠖⡱⢊⠼⡱⣌⠲⡌⣆⡙⢦⢡⠏⢲⢡⢓⣬⢏⠒ ⣟⣷⣻⣞⣳⢯⣯⣟⡟⣯⣟⡭⢷⣻⡼⣞⡶⣏⡿⣟⣿⣶⣤⡀⠀⠠⣤⣀⣬⣝⣳⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠙⣿⣿⣟⣿⣾⣿⡿⣿⢿⣮⡵⣚⠼⡱⣍⠳⣎⡜⣣⠝⣌⣶⣼⣶⣿⡿⣟⣿⣿⣏⠚⣥⢋⡼⣌⠳⡌⢮⡙⣎⡕⣢⠕⣪⢅⢫⠰⡱⠜⢒⡨⢄⢩⡘⠢⡙⢆⠣⣍⡰⣊⠱ ⣿⢶⣻⣞⣭⡿⣞⡾⣽⢾⣹⢟⡯⢷⣛⡷⣽⢫⢷⣻⣎⢿⡽⣿⣷⣤⡈⠙⠲⢤⣀⣀⠀⠀⠉⠉⠛⠲⠆⠀⠀⣤⣤⣾⣿⠿⠟⢿⣧⠀⢠⡟⠀⠀⠀⠀⠀⠀⠘⢿⣾⣟⣿⣿⣿⣽⣻⢿⣷⣯⣣⠓⣬⠳⠼⣬⣱⣾⠿⠟⠛⠛⠿⠿⣯⣟⣿⢅⡻⢤⢋⡖⣩⠖⣙⠦⡓⢬⠚⡵⢪⡔⣎⠶⣙⡦⣏⠵⣘⠬⢢⢥⢣⡑⣎⠱⣆⢵⢎⡱ ⣟⣯⢷⣻⢾⣝⣯⣽⢳⣯⣳⢯⣻⣭⢷⡹⣞⡟⣯⢷⣯⣻⣽⣻⢾⣽⡿⣷⣤⣀⠈⠉⠛⠛⠶⠶⠤⢤⣤⣤⣾⣿⠿⠋⠀⠀⠀⠘⣿⡄⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣻⣿⣯⣟⣯⣟⣿⣧⡛⢦⣏⣷⠟⢉⣥⡀⠀⠀⠀⠀⣠⣾⣾⡏⢦⡙⢎⡚⡴⢃⡞⡱⢎⡵⢪⡝⣜⠳⢎⣨⠗⡭⢲⢍⡚⢥⣚⠱⣊⠱⡘⠴⣉⠖⣸⠎⡔ ⣟⡾⢯⡽⢾⣹⢾⡼⣏⣶⢫⣏⢷⡹⣞⣳⣏⡾⣽⢺⣷⣛⡾⣽⣻⣞⡿⣽⡻⣿⣷⣦⣄⣀⡀⠀⠀⢀⣴⡿⣿⠋⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⢠⣀⣠⠴⡾⠛⠿⢿⡻⠿⣿⣟⣾⣿⣿⣿⣿⡿⠋⠀⢀⣾⣿⣾⣿⠆⢀⣼⣿⣿⣿⣿⣷⣯⣶⣕⢮⡑⠞⡥⣋⠶⣡⠖⣉⠶⡍⣎⢱⡎⢧⢎⡱⢎⡰⣉⢆⡓⣘⢆⡑⢎⠡⢎⠴ ⡿⣼⢯⠿⣝⢯⣳⣟⡼⣞⡽⢮⢷⡻⣜⣷⣿⡼⣳⢿⣞⣽⣻⣳⠿⣼⣻⢷⣻⡽⣿⣿⣿⣯⣙⣧⣴⠞⠀⢿⣿⡄⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢈⣫⣷⣤⣤⣤⠀⠈⣧⠀⠈⠻⣿⣿⣿⣿⣿⣦⠀⢀⣾⣿⠿⠋⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⡖⣡⢋⣥⢞⡩⢖⢭⢢⡓⣬⢓⢎⡱⢊⡱⣌⠦⡵⢌⡚⡜⢬⡱⣉⠦ ⣟⣧⣟⣻⣭⢯⣳⢮⣻⠼⣝⡻⣞⡽⣞⣼⣷⡹⣷⢻⣞⡷⣯⣳⡟⣷⢯⣟⣳⣟⣳⢯⣿⣿⣿⣿⠏⡀⠀⠘⣎⣧⠀⠀⠀⠀⢀⣼⠁⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣷⡀⣽⠀⠀⠀⠙⣿⣿⣿⣿⣿⣧⠈⠉⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⡒⢎⡵⢋⠦⢧⡹⢆⠯⣜⣷⣩⠔⣌⠳⡜⡡⢞⡌⢲⡱⢄⠳ ⡿⣼⢞⣳⣞⣳⡽⣺⢵⡻⣭⢗⡯⢾⣹⢞⡧⣿⡱⣟⡾⣽⣳⠿⣼⢯⣟⣾⢳⣯⣏⢿⣾⣿⣿⣿⠀⢻⣄⠀⠙⠛⢷⣄⢀⣴⣿⠏⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⠀⠀⠀⣼⠋⠻⣿⡿⣽⣻⡄⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡹⡜⡼⣩⢏⠲⣱⢋⡞⣼⣿⣿⠳⣈⠷⡸⢅⠶⡘⢧⠸⣌⠳ ⣿⡱⣯⢳⢾⡱⣏⢷⣫⢗⡯⣞⡽⣫⢞⡽⣗⣳⣏⢿⣹⢷⣫⢿⡽⣛⣾⢳⣟⡾⣹⢾⣽⣿⣿⣿⡀⠈⢿⣿⢦⣀⠺⡿⠿⣿⠏⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣾⠃⠀⠀⠹⣿⣯⢿⣿⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⢦⢳⡙⢶⡱⣈⢇⠧⢫⣼⣿⠿⣑⢇⡓⡎⠵⢋⡊⡵⣊⠷⣨⠑ ⣷⡹⢧⡟⣧⢟⡽⣎⢷⡻⣜⣧⣛⣧⣛⡽⣇⣳⣞⣫⣟⣺⣍⣿⣘⣻⣜⣻⣜⣹⣋⣗⣻⣿⣿⣿⣷⡀⠘⢿⣧⣻⡛⢶⣄⡀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣼⡇⠀⣼⠃⠀⠸⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⡆⣏⢦⢣⡙⢦⡹⣡⣮⣾⣿⡿⣿⡱⢍⢎⡨⢴⣫⢜⣡⠓⣍⠶⣡⢋ ⣾⣹⡳⣽⢺⡝⡾⣭⢯⡽⣹⢮⡽⣭⢯⡝⣯⢯⣝⣯⢽⣫⢟⣿⣻⢽⣫⡟⣽⣫⣟⡻⣿⣿⣿⣿⣿⣷⡀⠈⢿⣿⣷⡄⣾⡉⠛⠲⣤⡈⠉⣽⣛⠛⠻⢿⣿⣿⣿⣟⣽⣿⠁⠀⣰⣿⣧⣰⣿⠀⢀⣠⣿⣷⣟⣿⣿⣿⣿⣿⣿⡿⠁⣴⣿⡿⣿⢿⣿⣿⣿⡟⣣⢱⠒⡭⢆⡳⣜⣶⣿⣿⣿⣟⣿⣽⣏⡔⢪⢎⢳⡱⢎⠳⣌⠟⡬⢞⡥⢊ ⡷⣣⣟⢮⡟⣾⣹⢮⢷⡹⢧⡟⣾⡱⢯⣞⢧⡟⡾⣼⣫⢗⣯⣿⢞⣳⢯⣽⣳⣳⣭⢷⣻⣿⣿⣿⡿⣿⣿⣆⠈⢻⣿⣿⣿⣷⣀⣠⣴⡿⠉⣛⣿⡶⣤⣌⡉⠀⢻⣿⣿⢻⣄⣴⣿⣿⣿⣿⣷⠾⠛⠋⠙⢻⣿⢾⣿⣿⣿⣿⣿⣷⣾⣿⣿⣽⣯⣟⣿⡿⡫⡜⣡⣣⣯⣼⣿⣿⣿⡿⠟⠻⠷⣿⣧⣿⡓⣸⢍⡞⣰⠣⣏⡞⣥⢛⡜⣣⠎⢧ ⣻⢵⣚⣯⢞⣵⣫⢞⡧⣟⢯⡞⣧⡻⣝⣮⢻⣼⢻⡵⣫⣞⢧⣿⢯⡽⣫⢶⣳⢳⣞⣭⢿⣿⣿⣿⣿⣿⣽⣿⣷⣄⠙⠻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣶⣾⡿⠿⣿⢻⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⣿⣿⣿⡟⠋⢀⡄⠀⠀⢹⣿⢇⢳⡱⢎⡜⠆⡗⢦⡙⢦⢋⠞⣥⠛⡦ ⡿⣞⡷⣞⠿⣶⢻⡞⣷⢻⠾⣽⢶⣻⢞⣾⣳⢾⣳⡟⣷⢾⣻⠿⣿⢞⡷⣟⡾⣷⢾⡾⣾⣿⣿⣿⣾⢿⣿⡾⣟⣿⣷⣄⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⠋⢀⣤⣶⠞⣿⣿⣷⣶⣄⢻⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢠⣿⣟⣴⢠⣾⡣⢎⡳⣍⢞⣌⢳⢸⣃⠞⣥⢋⡞⡴⣋⢖ ⣟⡾⡵⣏⣿⣚⣧⢟⡮⣏⡿⣼⣣⢟⡾⣲⡽⢮⣳⡽⣞⢧⡯⣟⡼⣏⡾⣝⡾⣵⣻⣼⣻⣿⣿⣿⣽⣿⣯⡿⣿⣻⣿⡟⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⡟⠁⠀⢸⡿⢋⣾⣿⣿⣿⣿⣿⣸⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⣶⣶⣿⣿⣿⣷⣿⣷⣷⣭⣖⣍⠺⣌⠳⡌⣮⡙⢦⣋⢶⡱⣍⢎ ⡿⣼⢻⡵⣞⣳⢮⢯⣳⢏⣷⢳⣭⢟⡾⣱⢯⡻⣵⢻⡼⣏⡾⣭⢷⣫⢷⣻⣼⢳⢷⣺⣽⣿⣿⣿⡽⣷⣟⣿⢿⡽⣿⡇⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⢿⣿⣿⣿⠀⠀⠀⢹⣷⣿⣿⣿⣿⣿⣿⣿⡇⣿⠁⠸⣿⡿⣛⠋⠉⢀⣠⣴⣿⣿⣿⣽⣻⣾⡿⠿⠿⢿⣿⣿⣽⣿⣿⣿⣯⣟⣿⣯⢛⡞⣳⢎⡽⢤⢣⡝⢦⠱⣎⠴⣌⠮ ⣟⣳⢯⡽⣞⣽⢺⣏⢷⣛⣮⢟⡼⣏⡾⣝⣳⢯⣳⢯⣳⢏⣷⣛⡾⣝⡾⡵⣞⡯⣟⣶⣻⣿⣿⣿⡽⣿⡽⣾⣿⣻⣿⡇⢸⣿⡀⠀⠀⠀⠀⠀⢀⣰⡿⠋⣴⠃⠸⣿⣿⣿⣷⣦⣄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡀⠀⠈⢙⣿⣷⣾⣿⣋⠁⠀⣿⣿⣿⣿⢋⣶⠆⠀⠀⠀⠀⣩⣿⢿⣿⣷⣯⡿⣿⣷⡸⢱⠮⢜⣃⠾⣘⠶⣙⣌⠳⣎⢳ ⣯⢟⡾⣝⣳⡞⣯⣞⢯⣞⢧⡿⣹⡞⣽⣹⢮⡗⣯⣞⢧⣟⡮⢷⣽⢺⡽⣝⣳⢯⡽⣶⣻⣿⣿⣿⡽⣿⡽⣯⣷⣟⣿⡇⢸⣿⣅⣀⣀⣀⣠⣤⡾⠉⢀⣼⠋⠀⠠⣿⣿⣿⣿⣛⠉⢠⣼⠿⣿⣿⣿⣿⣿⣿⡷⠛⣠⣾⡿⣿⣿⣿⣿⣿⣿⣷⠀⢸⣿⣿⣷⡿⠋⠀⠀⢀⣤⣾⠿⣩⢇⣞⡹⣛⢿⣿⣿⣧⢭⡺⡝⢆⡻⢜⡎⡵⢪⡝⣬⢳ ⣟⡾⣝⡯⣗⣻⡵⣞⣟⣮⢟⣞⢷⣹⢷⣹⡞⣽⡳⣞⢯⣞⡽⣏⡾⣏⡷⢯⣛⡾⣽⢶⣻⣿⣿⣿⣽⣻⣽⣷⣿⣾⣿⡇⢸⣿⣿⣿⣿⣿⣿⠋⠀⢀⣾⠁⠀⠀⠀⣿⣿⣿⣿⣿⣷⣾⣿⣦⡀⠈⠉⢛⢛⠻⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣸⣿⣿⠟⣁⣠⣴⣾⢟⡻⣜⣣⢏⠾⣜⡳⡹⣆⢯⡹⣙⢦⠳⣜⡫⣜⢣⡞⡱⢧⢺⡔⣫ ⣟⠾⣝⡾⣝⣧⢿⣹⡞⣮⢟⣮⢯⣳⢏⡷⣽⡳⣽⣫⢟⡼⣏⡷⣽⣹⡽⣏⡿⣵⢯⣏⣿⣿⣿⡷⣯⣿⣾⣿⣿⣿⣿⣇⣾⠃⠀⢀⣤⣾⣧⣈⡐⣾⠃⠄⠌⡁⢌⣿⣩⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠃⠌⢛⡛⢿⠻⠿⢿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⢿⡻⣜⢧⠷⣩⢖⣫⡝⡶⡹⡵⢭⠶⣩⣓⠮⣝⡲⢵⡩⢶⣩⠳⡭⢶⡙⢶ ⣯⢟⡽⣞⡽⢮⣗⣻⡼⣏⡿⣎⡿⡵⣯⣛⣶⡻⣵⣫⢯⡟⣾⣹⡞⣵⢯⣏⡷⢯⡷⣻⣼⣿⣿⣿⣽⣿⣾⣿⣿⣿⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⢏⡐⢌⠢⣁⠢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡻⣿⠛⢦⣄⣀⠘⢿⠟⠀⠀⠀⠀⠈⠉⠉⠉⢸⣿⣻⣿⣯⣿⣾⣿⢟⣮⣽⣶⣋⢧⡻⣜⠧⣝⢮⡛⡵⣎⡽⡲⣝⡲⣝⢲⡱⣏⣳⢣⣛⡬ ⣟⡾⣝⡾⣽⣛⢾⡵⣯⡽⢾⣹⣳⢿⣱⡟⣶⡻⣵⣏⡷⣫⢷⣣⢿⣹⠾⣭⣟⡯⢷⣛⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠂⡜⢄⠣⡔⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣧⢀⣼⣟⠛⠶⣦⣄⣀⣀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡿⣟⡵⢯⡝⣮⢳⣝⡺⣜⢶⣹⢣⢷⣩⢗⣧⢳⢎⡳⡝⡮⣵⢫⣖⡹ ⣟⡼⣏⡾⢧⣻⣝⡾⣵⣛⡯⣗⣻⢮⠷⡽⢧⡟⣶⣛⠾⣝⡧⢿⡭⣏⡿⣳⢾⣽⣿⣿⣿⠿⣟⠛⠛⣛⠻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⡤⢃⠞⡌⡜⡒⣌⣹⣿⣿⣿⣿⣿⣿⣿⣿⣇⠘⢿⣿⣿⣿⣿⣿⣴⣾⣯⣤⣿⣿⡿⠟⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⢿⡻⣽⢺⢧⣟⢮⡳⣎⢷⣹⢺⣬⢻⣬⢳⣫⢖⡯⣞⡵⢫⡵⣎⢷⡪⢵ ⡿⣝⣯⣛⣯⢷⡺⣽⢳⣏⡿⣽⣹⡞⡿⣟⢯⣻⢳⢯⣟⣻⢞⣯⢟⡽⣞⣯⣿⣽⠟⡩⠰⢌⣛⣯⠝⡩⠅⠛⠛⣿⣿⣿⣿⣿⣿⣿⡿⢣⡙⢴⣋⡜⡔⣣⣵⡶⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣝⠻⢿⢿⡿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣷⢿⣱⢻⡞⣼⣣⠿⣜⢧⣛⢶⢣⡗⣎⠷⣎⢯⢞⡶⣹⢧⡳⣝⢮⣙⢮ ⣟⣳⢾⣹⢮⡗⣿⣱⡟⡾⣝⣞⡧⡿⣝⣯⢯⢷⢯⡟⣾⢭⣟⢮⡿⣹⡽⣾⣿⡟⢬⣁⢳⣾⡿⡐⢣⢰⡉⢎⠡⠻⣿⣿⣿⣿⠿⡹⣜⢣⡝⢲⣧⣶⠿⢋⠡⢐⡐⣾⣿⣿⣿⣿⡿⠋⢻⣿⣞⡿⣿⣷⣄⣀⣀⣤⣀⣀⣤⣶⣿⣿⣦⣠⣶⣿⣿⡿⣿⣛⠿⣭⢳⣛⣮⡽⣳⢽⣣⣏⡟⣮⢟⡼⣫⢗⢾⣩⢞⡭⣞⣣⢏⡷⣋⢷⡹⡞⣜⢮ ⣯⢟⡾⣭⢷⣛⣧⢯⣽⢻⣝⣮⣽⡳⣟⣞⢯⣻⣞⡽⣧⡟⣞⣯⣞⢷⡻⣿⣿⡙⢦⢎⣹⡿⣅⢹⢂⠧⡘⢎⡱⣵⣿⣿⣿⣍⡳⢵⣊⡷⣸⣹⡟⠅⡒⣌⣦⢁⢲⣿⠙⠛⠋⠁⠀⠀⢸⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡿⣟⡿⣽⣿⣿⣿⣿⣯⢳⡽⢶⣏⠿⣭⢏⡷⣣⢿⣹⡞⣵⢞⡽⣎⢯⣳⡝⣮⢳⡭⣞⡵⣫⡜⣯⢞⣭⢳⡽⣙⠾⣸ ⣟⡾⣽⣭⢿⣹⢮⢿⡼⣛⣮⠷⣞⡽⣞⣭⢿⣱⢾⡽⢶⣻⠽⣶⣫⢯⡽⣿⣿⣙⣎⠾⣸⠟⡬⢎⡍⢶⣉⣶⣿⣿⣿⣿⢯⢼⣙⢧⢞⡴⣿⣿⠁⢎⣵⣿⣿⡌⣾⣿⡆⠀⠀⠀⠀⠀⢸⣿⣿⡿⣾⣽⣻⣿⣿⣿⣿⣟⣯⣿⣿⣿⣿⣿⣿⣷⢻⡞⣷⣺⡻⣵⢫⡽⢯⣗⣻⡼⣏⣞⣳⢭⡳⢧⣻⡜⣧⢻⡜⡶⣣⣛⠶⣋⢮⡳⣭⡝⣞⡱ ⣟⣞⠷⣞⣯⣳⢯⡟⣾⡝⡾⣝⣯⠾⣝⡾⣭⡟⣾⢽⣛⣞⢿⣱⢯⣯⡽⣿⣯⣷⢎⡟⡼⣍⣳⣭⣾⣿⣿⣿⣿⣿⠿⣝⡯⣞⡽⣚⢮⣽⣿⣿⢼⣿⣿⢿⣽⣿⣿⣿⣇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣳⢿⣿⣿⣿⣿⣿⣟⣾⣻⣿⠿⣿⣿⣿⣿⣷⣯⢳⣳⡝⣮⣷⡻⣝⢮⡳⣽⢎⣷⡹⢮⡝⣧⡳⣝⢮⡳⣝⡺⢥⣫⢽⡹⢎⡷⣱⢞⣥⣛ ⣟⢾⣻⠽⡶⣏⣷⢻⡵⣻⣝⡯⣞⣻⣝⢾⣳⡽⣫⢾⣝⡾⣫⣽⣳⣳⢿⣹⣿⣽⣮⣽⣿⣿⣿⣿⣿⡿⣟⡿⣽⣞⣻⢧⣟⣵⡻⣝⣿⣿⣿⣿⢾⣿⣿⣻⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣷⣻⣿⣿⡟⠋⢻⣷⣿⣞⣿⣿⡀⠀⣨⠶⠿⠻⣿⣻⠖⠛⠀⠀⠘⠙⢮⡳⣭⡋⠁⠹⣧⠛⠁⠉⠉⠉⠁⠉⡷⠋⠉⠁⢻⡹⢮⡅⠉⢲⣩ ⣯⢟⣞⢿⣹⡽⣚⣯⢷⡻⣼⡽⣹⣳⣞⣻⢶⡻⣝⣯⢞⣳⡟⣶⣏⡷⣯⣛⣿⣿⣿⣿⣿⡿⣟⣯⡿⣽⣯⣟⡷⣯⣟⣻⢮⣷⣻⣽⣿⣿⣿⣏⣿⣿⣿⣷⣿⣿⣿⣿⣿⡆⠀⡀⠀⠀⣾⣿⣿⣿⣷⡿⠋⠀⠀⠀⣽⣿⡿⠿⢟⢁⡀⠀⠀⠀⢸⡿⠧⠐⠾⣧⣠⢾⠒⠀⠿⣖⡅⠀⡹⠀⢀⡴⠖⠶⠲⠖⠦⢳⠀⢐⡀⠀⠹⡳⠄⠀⢸⣱ ⣟⡾⣹⣞⣧⠿⣝⣮⢷⡻⣵⣛⡷⢧⣟⡞⣷⡻⣝⣮⢟⣧⡟⣷⢾⣹⢷⣫⢿⣟⣿⣿⢾⡿⣿⣽⣻⣷⣻⢾⣻⡷⣯⣟⡿⣶⣿⣿⣿⣯⣿⡇⣿⣿⣿⣾⣿⣿⡿⣾⣿⣇⠠⢐⠠⢁⢼⣿⣿⣿⣷⡄⠐⠠⢄⠠⠉⡉⢀⠈⠻⠟⠃⢀⡐⠂⣿⣧⣄⣀⣠⡾⠱⣧⣀⣀⣠⠾⡅⠀⢱⠀⠈⢷⣀⣄⣠⡀⠀⢸⠀⠀⡿⣄⠀⠙⡃⠀⢸⢧ ⡿⣼⣳⢏⣾⢻⡽⣮⢷⣛⣧⡟⣾⣛⣮⣟⣳⡟⣽⢮⣟⣮⣽⡳⣯⣻⠾⣝⣯⣿⡾⣿⣿⣽⣷⣻⣽⣳⣟⡿⣽⣻⢷⣯⢿⣽⣿⣿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣧⠒⠬⡐⠌⣾⣿⣿⣿⣿⣿⣧⣥⡌⢂⡱⢄⠣⡘⢄⠒⡌⠰⣸⢰⣿⣿⣷⣤⣉⠀⠀⢈⢁⡤⣯⣛⡆⠀⢹⣦⣄⡀⠀⠀⠀⠀⢀⣜⠀⠀⡿⣜⣆⠀⠀⢀⣼⢣ ⡿⣵⢯⣻⡞⣿⢞⡷⣟⡾⣶⣻⢶⣻⢶⣻⢶⣻⠽⣞⣧⡟⣶⣻⣳⣽⡻⣽⢞⣿⣿⣿⣿⣾⢿⣽⡷⣿⣽⣻⡷⣟⣿⣞⣿⣿⣿⣿⣿⣻⣿⢸⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡌⡳⡘⡜⣼⣿⣿⣿⣿⣿⣿⣿⣏⠲⣐⢎⡲⡑⢎⠲⣌⡱⢧⣿⣿⣿⣿⣞⢿⣣⡴⣞⢯⣻⡵⣫⢽⣛⠷⣎⣟⡻⣟⢿⡻⣽⡹⣎⢷⡻⣵⣋⢾⣹⢏⡿⣜⢯
⠡⢊⠔⠠⠐⡀⠢⠐⠄⡒⠨⢐⠢⢐⠢⠰⡐⢤⣼⣿⢿⣽⣻⠿⣽⣫⢿⣹⣯⣟⣽⣹⠯⣽⢏⡿⣽⢯⣻⡽⢻⣽⢫⣟⣽⡭⢿⣹⣯⢻⡞⢿⡹⣞⢯⡻⣽⣻⣷⡄⣤⢀⣀⡅⣀⡀⢀⡀⡄⡀ ⠂⠤⢈⠐⠠⠐⠀⡁⠂⠄⡁⠂⠌⠂⠡⠑⣨⣾⡿⣽⣻⢾⣭⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣟⣼⢣⣿⣼⢻⣼⣏⣿⡜⣿⠭⣷⢺⣗⣻⡎⢿⡼⣧⢻⣵⢳⣯⢿⣎⣟⣮⢽⣳⠿⣝⡾⣹⢽ ⠀⢂⠄⠈⠀⠄⠁⠠⠈⢠⣄⣈⣀⣈⣴⣾⣿⣯⣟⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣾⣽⢻⣏⣷⣞⣯⠽⣷⡹⣧⢻⣖⡻⣧⠽⣎⢷⡎⣿⡼⣷⣻⢾⣜⡷⢯⣟⡽⢮⣱⢏ ⣷⣶⣾⣤⣥⣴⣈⣐⡠⢸⣿⣿⣿⣿⣿⣻⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡟⣯⣿⡜⣿⣹⢻⣜⣻⣧⢻⡗⡽⣮⠽⣮⠽⣖⡽⣞⡽⣯⢷⣏⣿⣾⣽⣛⢮⢽ ⣯⢿⣽⡿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣷⣫⣮⣟ ⣟⡾⣽⣟⡿⣟⡾⣟⡾⣳⡽⣞⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡿⠀⠀⠀⠈⢇⠀⠈⢻⣿⣿⣟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⠛⠛⠛⠛⠛⢻⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿ ⡿⣼⡳⣟⣿⢿⣝⡿⣷⢏⡿⢾⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣀⣹⣶⣶⣶⣿⣿⣿⣶⣾⣿⣿⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⢸⣿⠀⠠⢈⠙⠻⢿⣿⠿⠟ ⡿⣵⣻⡽⣾⣟⣾⢿⣽⣯⢿⡽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣡⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⠀⠀⣿⠀⠁⠂⠈⠄⠂⣼⠆⠒ ⠛⠓⠏⠟⠽⠻⠯⠿⠽⠾⠯⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠁⢺⠀⠀ ⠀⠀⠀⠀⢀⡀⣀⢀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠀⠀⠀⠀⠈⠙⠿⣿⣿⣦⣀⣀⡀⣀⣨⢤⡀⢤⢀⣀⡀⢁⡀⣀⣀⣀⣀⡀⢸⡀⠀ ⣶⣶⣶⣞⢯⣳⡝⣮⢳⡝⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣯⢇⡟⣶⣫⣼⢳⣎⢆⡹⣆⢳⡐⢦⠹⢬⡹⢧⣛⠭ ⣿⣿⣷⢯⣟⣳⡟⣧⠿⣜⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣗⢮⣝⡲⢧⣏⠿⣜⢣⡛⡬⢣⡙⢢⠋⢄⠒⢡⢊⠱ ⣿⣿⣿⣿⣻⢧⣿⣹⢻⡜⣧⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⢀⣤⣴⠶⣤⣄⠀⠀⠀⠀⠀⠀⠠⡞⠛⢻⣟⡮⣝⢯⠓⣸⣛⡬⣇⠲⣙⣦⡙⢦⡩⡔⣸⢀⡎⢇ ⣿⣿⣿⣿⣿⣿⣾⣽⣻⣞⡵⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠋⣹⣿⣿⣿⣿⣿⡿⠁⠀⠉⠀⠀⠀⠈⠻⠇⠀⠀⠀⠀⠀⢸⠇⠀⠀⣿⠞⡵⡞⣽⢤⣹⢮⣍⢳⡱⠤⣙⢦⢳⡱⢎⡖⡜⠎ ⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⠟⢁⣿⡌⢰⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣀⣀⠀⢀⠀⠀⠀⠀⠀⠀⢠⣄⣤⣄⣹⢾⣱⢻⣸⢧⣟⣶⢎⡻⢴⡳⣍⠢⢧⠙⢮⡜⡼⡙ ⠟⠛⠛⠿⠛⠿⠿⣿⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⢿⠫⡇⠘⢿⡇⠘⣿⣿⣿⣿⣿⠀⠀⠀⢤⣾⡿⠟⠻⠿⣾⠄⠀⠀⠀⠀⠀⠸⠿⣛⡿⢿⡳⢞⣧⢻⡞⣽⢺⣭⡝⣞⡷⣹⡝⢎⡜⢢⢙⠲⣍ ⠀⠀⠀⠀⠠⢠⠰⣔⡛⣿⣿⣿⣿⣿⣟⣿⣿⣿⠸⡄⢹⡀⠀⠱⡀⠈⠙⠻⣿⡇⠀⠀⠀⠀⠋⠂⠬⠷⠾⠁⠀⠀⠀⠀⠀⠀⠘⢲⡍⠀⠀⡟⠋⢲⠧⠜⠡⠟⢶⡻⣝⡾⣱⢛⡞⢤⡣⢎⡳⣞ ⡀⠀⠠⢀⠘⣥⢛⡴⣩⢭⡙⡛⢏⠻⣿⣿⣿⣿⣧⡁⠈⠁⡀⠄⠘⣦⠀⣀⡸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠘⠂⠀⠀⢸⠙⡄⡐⢪⡑⡜⢦⡹⢬⠷⣏⡿⣌⢳⡟⣧⡽⣞ ⡬⣑⢢⢌⡳⣼⡙⢲⣽⣳⣳⣍⢚⡰⣻⣿⣿⣿⣿⣿⣿⣦⣄⣠⠏⠀⠀⠀⠀⠑⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⢹⠄⡓⡼⣙⢮⡽⢯⣻⢽⣻⢾⢧⣟⡿⣽⣿ ⣷⢣⡏⢶⣑⢦⡛⣼⣳⣧⣟⣮⢷⢧⣹⢻⡿⣿⣿⣿⣿⣿⣿⠋⠠⣀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣜⠇⢸⢰⠙⣵⣛⣦⣜⣫⢯⣛⣮⣟⡻⣼⣙⢻⣿ ⣿⣟⣾⢧⣏⠶⣹⢾⣽⢿⣾⣽⣯⠿⣝⢯⣳⢿⣿⣿⣿⣿⣿⣷⣦⠀⠉⠉⠉⠰⡀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⡂⠀⢠⠞⡞⠀⣸⢆⡻⣭⣟⠾⣳⢞⣿⣟⣷⣮⡕⢮⡵⢃⠻ ⣿⣿⣿⣿⣾⣏⢧⡿⣽⢯⣿⣿⣟⣿⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⢀⠔⠊⠁⠀⢸⣏⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢁⣰⣳⣣⡗⠢⠿⣬⢳⡹⣟⡻⣜⡿⣯⢿⡾⣽⣟⡶⣹⢏⡶ ⣿⣿⣿⣿⣷⣯⣿⣽⣿⣿⣿⣿⣟⣿⣿⣿⡿⣿⣿⣯⢷⣿⢿⣿⠁⢧⠀⠘⠢⠤⡀⠀⢸⠋⠀⠀⠈⠑⠢⠤⣀⡀⠀⠀⠀⣀⣴⠋⢸⢷⠉⠀⠀⠀⢸⡇⡞⡴⢳⣜⣿⡽⣿⣽⢿⡾⣿⣟⡿⣼ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢾⣻⡇⠠⣞⠀⠀⡠⠊⠀⠀⠈⣇⠈⠀⡁⠐⠀⡀⢀⡏⠉⠉⠉⡤⣸⠞⢡⠊⠀⠀⠀⠀⠀⢹⡹⡜⣧⢾⣯⣿⣟⣾⣯⢿⣷⡿⣿⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⣾⡿⣽⡿⢉⠀⠁⣹⠀⢸⠀⠀⠀⠀⠀⢸⠀⡐⠀⠠⠁⠀⣾⠣⢤⣐⢬⡴⣏⠀⢃⠀⠀⠀⠀⠀⠀⢻⣱⡝⢮⣻⣽⣷⣻⣿⢿⣿⣿⡽⣯⣟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣷⡿⣷⢿⣷⣻⣯⢿⣿⣽⢦⣞⠻⣹⠀⠘⡀⠀⠀⠀⠀⠘⣧⡀⠐⡀⠐⡈⠿⣆⠰⠘⡛⠺⡿⢄⠈⠢⢀⠀⠀⠀⠀⠀⢷⣊⢷⣣⣟⣾⣽⣿⣿⣿⣿⣽⣳⣯ ⣿⣷⣟⣾⣷⡿⣯⣿⣻⣽⣿⢿⣯⣿⣿⣿⡻⠽⠛⠉⢀⣀⣀⠉⠳⢽⠀⠀⢱⠀⠀⠀⠀⠀⡎⠷⣀⠠⠀⠀⣀⠿⠀⠀⡇⠀⢧⠈⢣⠀⠀⠑⡄⠀⠀⠀⠘⣾⣞⡷⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿ ⣿⣿⣻⣿⣟⣿⣿⣟⣿⣟⣿⣿⢿⣻⣽⠉⠀⠀⡠⠊⠁⠀⠀⠉⠑⢺⠀⠀⢨⠄⠀⠀⠀⠀⣇⢀⣙⣦⣀⣾⠥⠀⡇⠀⣗⠂⠘⡄⠀⢣⠀⠀⠸⡀⠀⠀⠀⠸⣯⣽⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⣿⣽⢿⣯⡿⣿⣻⣿⣻⢿⡿⣿⣿⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⢸⠀⠀⠀⠀⠀⢸⢇⠀⠀⠣⡀⠀⠀⢃⠀⢸⠀⠀⡇⠀⠀⣆⠀⠀⢡⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣾⣳⢯⣟⡾⣽⢳⡻⢼⡹⠯⡝⢧⣻⠀⡰⠀⢀⠤⠒⠂⢒⣴⠎⡏⠀⠀⠸⠀⠀⠀⠀⠀⢸⡀⠑⢄⠀⠘⢄⠀⢸⠀⡼⡀⠀⡇⠀⢀⢾⠀⠀⠀⢣⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣱⢫⠛⡬⠳⣌⠣⡝⠦⡱⠍⡜⠢⡟⠀⠧⠒⠁⠀⢀⡜⢡⠏⠀⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⣧⡀⠀⠑⣄⣀⣣⠸⠤⠯⠥⣤⣇⡠⠊⠘⡇⠀⠀⠀⢆⠀⠀⠀⠀⢻⣿⣿⢋⢧⠫⢭⡙⣛⠣ ⠣⠥⢩⠱⡈⢇⠌⡒⣉⠆⡡⠃⠌⣱⠇⠀⠀⠀⠀⢀⡏⢀⡏⠀⠂⡇⠀⢀⠁⠀⠀⠀⠀⠀⠀⢁⣉⠶⠚⠉⢀⣀⣠⠤⠤⠤⣀⣀⠉⠲⣄⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⢻⡀⢋⠆⡹⠐⠰⢀⠁ ⢣⠱⣈⠦⣑⢪⠰⡑⢢⠜⡠⢍⠐⡸⢦⡀⠀⠀⠀⡞⡀⠘⠀⠐⢈⡇⠀⡸⠀⠀⠀⠀⠀⠀⠀⢸⣀⡤⠖⠊⠉⠀⠀⠀⠀⠀⠀⠀⠉⠒⢬⣇⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⢣⠀⢂⠀⠁⠂⠀⠂ ⣇⠳⣌⠲⡔⢆⡳⢌⠣⡘⡔⢊⠔⡰⠠⡙⣆⠀⢠⠇⡀⠀⠂⢀⢸⠁⠀⢱⠀⠀⠀⠀⠀⠀⠀⡎⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⢹⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣭⢳⣩⢳⢹⡘⡴⢨⠥⡑⣘⠢⡘⢄⠣⡐⡿⠀⣼⡆⠠⠀⢁⠀⡟⠀⠀⠀⠱⡀⠀⠀⠀⠀⣸⠇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣸⣆⠀⠀⠣⠀⠀⠀⠀⠀⢀⡇⠀⠀⡀⢀⠀⡀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣤⣤⣤⣤⣀⣀⣀⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⣿⡿⣿⡏⠙⠛⠛⠛⠋⠉⠉⠀⠀⠀⠉⠙⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⡿⠁⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⠷⠶⣤⣟⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠈⠛⠀⠀⠀⠀⠘⠛⠋⠉⠉⠉⠉⠙⠻⢧⣴⢦⡀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⢸⣷⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⡀⠀⠀⠀⠁⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⣿⣿⣿⢷⡀⠀⠀⠀⠀⠛⠋⣩⣭⣭⣿⣻⢷⡄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⢿⡄ ⠀⠀⠀⠀⠀⠀⣷⠀⣿⣿⣿⣾⠃⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣙⡏⠛⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠈ ⠀⠀⠀⠀⠀⢠⠏⠀⠈⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡇⠀⠀⠀⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠈⠉⠃⠀⠀ ⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠀⠀⠀⢀⣠⣄⡀⠹⣿⣿⣿⣇⠀⠈⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠈⠳⠶⠴⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⡿⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣤⣤⣶⣾⣿⣿⡟⡻⠿⠶⣶⡶⣶⢶⣶⡞⠋⠉⠙⠛⠶⠶⠶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡖⠉⠈⣽⠋⣿⠉⠉⢙⣿⡹⢦⣾⡁⠈⡿⣠⡾⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣇⣄⢀⢿⡀⢿⣀⣀⣾⠧⣿⠏⠈⣻⣿⢱⡟⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣷⣾⡾⠿⠛⠹⠉⠀⢠⣏⣴⢟⠋⠅⢸⡇⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢴⣿⣿⠁⠀⠀⡐⠂⠀⠀⢸⡟⠀⢡⣮⣤⣸⣷⠶⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⠙⠶⠚⠛⠻⣄⣠⣤⠶⠿⣶⣴⡞⠛⠁⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠏⣰⠟⠀⠀⢠⠀⠈⡁⠀⠀⠀⢹⡀⢿⠀⠀⢀⡀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣏⣾⠋⠀⠀⠀⣼⠀⢠⡇⠀⠀⢀⣀⣷⠾⢧⣿⣤⣵⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣏⠁⠀⠀⣠⣿⣿⠀⢸⡇⠀⠀⣨⠋⠀⠀⠀⠳⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢆⠀⠀⠀⣿⣿⠀⢸⡇⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣆⢀⣀⣾⡿⢦⡈⢡⡄⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⠟⠁⠀⠙⣄⠹⣦⣀⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠈⠛⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣿⣷⡄⠀⠀⠀⣠⡶⣶⣤⣞⣹⣿⣷⠀ ⠀⠀⠀⠀⣠⣶⣶⣶⣦⣾⣅⣼⣿⣿⣿⣿⠀⠀⠐⢿⣰⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⣾⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⢿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣠⣤⣤⣤⡙⠻⠿⠃⠀⠀ ⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣼⣯⣤⣴⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⡿⠁⠀⢠⣿⣿⣿⣿⣿⣿⡾⠟⢻⣶⡀ ⠀⠀⢀⣴⣶⣶⣦⡀⠀⠀⠈⠉⠛⠁⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷ ⠀⠀⢸⣇⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃ ⢠⣾⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢠⣤⣶⣤⣀⠸⣿⠿⠿⠿⠿⠿⠟⠋⠀⠀ ⠸⣄⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⢹⣿⣿⣿⣧⠀⠀⢀⡴⢦⡄⠀⠀⠀⠀ ⠀⠉⠛⠛⠛⠛⠉⠉⠀⣤⣶⣶⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣤⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⠛⠛⠛⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀⠀⠀⠀⣾⣿⣿⣷⣄ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣄ ⠀⠀⠀⣀⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⢇⠠⣏⡖⠒⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⢀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⢸⣿⣿⡿⢋⠁⠀⠀⠀⠀⠉⡙⢿⣿⣿⡇ ⠀⠀⠘⣿⣿⠀⣿⠇⠀⢀⠀⠀⠘⣿⠀⣿⡿⠁ ⠀⠀⠀⠈⠙⠷⠤⣀⣀⣐⣂⣀⣠⠤⠾⠋⠁ ⠀⠀
⡿⣝⢦⠃⠕⠊⡱⣿⢳⢼⠶⣣⠜⡼⣏⡟⡼⠈⠴⣚⡭⠸⢁⠤⠁⠀⠀⡎⠀⠀⠀⠀⢀⣀⣀⣀⣀⢀⣀⣀⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡙⡌⠦⠈⠄⣐⢯⣻⣌⡓⣆⣩⠿⣝⢾⢁⠃⢌⢣⠛⡄⠂⠀⠀⡁⢨⠁⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣋⠖⢢⡱⠘⣬⠳⣇⢲⡹⣼⢧⢻⣽⢂⠂⡌⢰⢃⠂⠔⡀⠒⠀⠐⡜⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡎⡱⢎⠱⣜⡻⣜⠧⣱⢏⡎⠷⠊⠀⢃⠄⢦⠁⣰⠊⡀⢂⠁⢰⢄⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣵⡾⣶⣬⣳⢽⢣⡝⢎⡑⠠⢀⠈⠠⠜⡀⢚⡀⠰⠡⢀⢒⢨⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⣧⡟⣽⣿⠂⣉⢤⠄⠂⠀⠀⢰⠎⢁⡶⡘⢁⡘⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣟⢶⣻⡖⢮⠳⢀⠤⠒⡜⢡⠎⢐⡰⠄⠃⡀⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⢮⣽⣿⣥⠁⢈⣜⣱⣌⣉⠀⣠⠑⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣟⡳⣾⣿⣿⣷⣾⣯⣛⣯⢻⢷⣤⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶ ⣿⣿⣿⣿⣿⣿⣯⣛⣽⣿⣿⣿⣿⣿⣿⣿⡽⢮⣿⣄⠀⠀⢀⠸⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢻⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡞⡵⣾⣿⣿⣿⣿⣿⣿⣿⣟⡧⣿⣿⣧⡀⠀⠀⣿⣿⣿⣿⣿⡿⢳⣦⣄⡀⠀⠀⠀⠹⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣟⡵⣛⣿⣿⣿⣿⣿⣿⣿⣿⢼⣱⣿⣿⣿⣤⡀⣿⣿⣿⣿⣿⠟⠋⣻⣿⣿⣿⣦⠀⢀⣾⣿⣿⣯⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡵⣫⢿⣿⣿⣿⣿⣿⣿⣎⠷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠈⠁⠀⠈⠈⠀⠻⣿⣧⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣻⢼⣻⣿⣿⣿⣿⡞⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡗⣯⣻⣿⣿⣽⢲⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⢀⣤⣤⣤⡀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⠆⡈⠙⠛⠿⢿⣿⣿⣿⣿⣿⣧⣳⡝⢿⣏⡟⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢠⣀⣽⣛⣥⣄⡦⠶⠀⢐⣼⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢒⠈⠐⠐⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣶⣿⢺⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠙⠿⠿⠿⠋⠀⢀⣴⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢤⡀⢈⠐⡈⠀⠄⠀⢀⣴⡎⢻⣿⣿⣿⣿⣿⣿⡳⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⢀⣤⣾⣿⣿⣿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢢⡝⣆⠀⠀⢁⡠⢖⡛⢦⡇⠀⠻⣿⣿⣿⣿⣿⣷⡹⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⢿⣛⣿⣽⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⠹⣌⠳⣔⢫⡔⣣⠞⣢⣿⠀⠀⣽⣿⣿⣿⣿⣷⡽⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⠹⣌⠳⣌⠳⣌⢇⡚⠴⣸⠀⢰⣿⣿⣿⣿⣽⣿⡞⣵⢻⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣏⣾⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣏⠣⠎⡵⣩⠳⡜⢬⡘⠥⣸⠂⣾⣿⣿⣿⣿⣿⣿⣿⡜⣯⣛⢿⡻⢿⡟⣿⢫⢷⣹⣻⣼⣶⢭⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣇⠣⡘⠥⢦⠹⡌⡥⢌⢡⡿⠀⣿⣿⣿⣿⣻⣿⣿⣿⣝⣶⣹⣮⣽⣷⣾⣵⣿⣾⣿⡿⣿⣿⣧⢟⣎⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣏⠛⠻⠿⣿⣿⣿⣿⣾⣍⡙⠛⠛ ⡮⢱⢌⠣⣇⢹⢒⡱⢈⡾⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⡝⣿⣿⡞⣼⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡻⣜⣻⣿⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀ ⣇⢣⢊⠲⣉⢆⡫⢐⣿⠁⠀⢀⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⣛⣾⣿⣿⣿⣧⣛⢾⣻⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⢻⡝⣮⣳⡽⠞⠉⠛⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢎⠦⣉⠖⡍⢦⡑⢪⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡶⣭⣿⣿⣿⣿⣿⣞⣮⢓⣟⣿⢿⢿⡻⢏⡷⣹⢮⣵⣧⣿⣿⣿⣆⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡍⠦⡁⢮⡙⢦⣉⡿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣾⣿⣷⣿⣾⣷⣿⣾⣷⣾⣶⣿⣵⢫⣿⣿⣿⣿⣿⣿⣷⣫⣞⣼⣯⣾⣽⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠬⡑⣌⢣⢚⠴⣸⠃⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡞⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠢⣑⢂⠧⣉⢖⡟⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡞⣿⣿⣿⣿⣿⣿⢿⣻⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢁⠲⣌⠲⣡⢺⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡟⡿⣟⢯⣻⣼⣿⣿⣿⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⢌⡱⣌⠳⡰⢈⠇⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⠋⠈⠻⣿⣿⣾⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡆⠀⠀⠀⢀⠂⡡⠂⠄⠀ ⠢⢵⢨⠣⡑⡌⢂⢀⣰⣾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠙⢿⣿⣾⣧⠿⣿⢿⡿⡿⢿⡻⣏⣷⣯⣟⠁⠀⠀⠀⠀⠐⠤⢁⠀⠀ ⠡⢓⣊⠱⣈⣠⣿⣿⣿⡿⣯⣿⡹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣾⣷⣿⣿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠁⠈⡄⠀⠀ ⣱⣌⣴⣿⣿⣿⣿⣿⣿⣿⣽⢫⢽⡳⢮⡝⢿⢿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣞⣵⣫⣾⢿⡿⢛⣽⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠤⢤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠄⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠂⠤⣀⠀⠀⠀⠀⠀ ⠀⠀⢀⡜⠋⠀⠀⢀⠀⡀⠀⠀⠀⠀⢀⣠⠤⠤⠤⠤⢤⣈⠓⣄⠀⠀⠀ ⠀⢀⣜⠀⢀⣠⠜⣛⣣⣤⣤⣟⣤⣀⣠⣣⣼⣼⣿⣿⣧⣤⣛⢿⣧⠀⠀ ⠀⢨⢏⠴⠮⠗⠚⠙⠉⠉⢉⣿⣿⣿⠇⠁⠀⠀⠀⠀⠈⣉⣿⣦⡝⣷⠀ ⢰⡷⣿⡀⠀⣀⣀⣠⣄⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡆ ⠸⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡯⠉⠫⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⡯ ⢠⠸⣿⣿⣿⣿⣿⣿⡿⢿⡩⠎⠁⠀⠀⠈⠺⣝⡿⢿⣿⣿⠿⢏⡡⠏⠏ ⠘⢗⠬⣙⣋⣛⡍⠵⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠑⠂⠋⠁⣀⡞⠀ ⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀ ⠀⠀⠀⠉⠲⠤⣀⠀⠀⠀⠀⠀⠀⢢⡀⣰⠀⠀⠀⣀⡤⠖⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠀⢰⠒⣶⢲⡆⠐⠚⠋⠀⡔⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⢀⣀⣀⡀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢍⠘⠓⣦⠎⡆⠤⠐⢫⠃⡀⠀⠀⡀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⡤⠤⠶⠶⠶⢤⡽⠂⠀⠀⠀⠀⠀⠀⠀ follow me on x @_urstrulyjulie !
⠀⠀⠀⠀⠀⡾⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⠁⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠈⢳⣄⠀⠀⠀ ⠤⠒⠚⠁⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠙⠒⠂⠤⠐⠒⠋⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠈⠓⠒⠤ ⠀⠀⣀⡤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⡀⠀⠀⠀⢀⣠⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢤⣀⠀⠀ ⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠒⠋⠉⠉⠉⠓⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠚⠉⠉⠉⠙⠒⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⣀⠀⠀⢀⡀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢀⡀⠀⠀⣀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⣿⡄⠀⣾⡇⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⢸⣧⠀⢰⣿⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⣀⡀⠀⠀⢿⠁⠀⢹⠇⠀⠀⣠⡄⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⢀⣀⠀⠀⠸⡏⠀⠈⡿⠀⠀⢀⣤⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠙⠲⠤⢀⣀⠠⠴⠚⠁⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠈⠓⠦⠄⣀⡀⠤⠖⠋⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⡀⠀⠀⠀⠀⠀⣀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⣀⠀⠀⠀⠀⠀⢀⣀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠒⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⠒⠒⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠒⠒⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⠒ ⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠉⠀⠀⠀⠀ ⠀⣾⡆⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⣾⡆⠀⢸⣧⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⢠⣿⠀ ⠀⣿⡇⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⢿⡇⠀⢸⡿⠀⠀⢀⡀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⣀⠀⠀⠸⣿⠀ ⠀⠈⠀⠀⠘⣹⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢹⡟⠀⠀⠈⠀⠀⠀⠁⠀⠀⢙⡏⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⣏⠁⠀⠀⠉⠀ ⠀⠀⠀⠀⢠⠏⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠹⣄⠀⠀⠀⠀ ⠀⣀⣠⠔⠃⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠛⢤⣀⡀⠀⢀⣀⡤⠚⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠘⠣⣄⣀⠀ ⠁⠀⠀⠀⣀⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢤⡀⠀⠀⠀⠉⠁⠀⠀⢀⡠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣀⠀⠀⠀⠈ ⠤⠤⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠢⠤⠤⠤⠔⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠤⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠤⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⣶⠀⠀⣰⡆⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⢰⡆⠀⢀⣶⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⣿⠇⠀⢿⡇⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⢸⡿⠀⠸⣿⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢲⠦⠀⠀⠙⠀⠀⠘⠁⠀⠀⢺⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠐⡶⠄⠀⠈⠃⠀⠀⠋⠀⠀⠐⡟⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠙⢦⣀⠀⠀⠀⠀⢀⣠⠞⠁⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠈⠳⣄⡀⠀⠀⠀⠀⣀⡴⠋⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠈⠉⠐⠒⠈⠉⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠉⠁⠒⠂⠉⠁⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⠤⢄⣀⣀⣀⡤⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⠤⣀⣀⣀⣠⠤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀ ⠀⠀⠉⠓⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠋⠁⠀⠀⠀⠈⠙⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠉⠁⠀ ⠀⣤⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⢠⡄⠀⢀⣄⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⢀⣄⠀ ⠀⣿⡇⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⣿⡧⠀⢸⣿⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⢸⣿⠀ ⠀⠿⠁⠀⢠⣶⡆⢨⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⢴⡦⠀⠀⢹⡇⠀⠘⣟⠀⠀⣠⣤⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠱⢠⣤⡄⠀⠘⡟⠀
。 o ○ ╭◜◝ ͡ ◜ ͡ ╮ ╭◜◝ ͡ ◜◝ ͡ ◝╮ ( thinking ) ( about ) ╰◟◞ ͜ ╭◜◝ ͡ ◜◝ ͡ ◝ ͡ ╮◞◟◞ ╯     ( you! )    ╰◟◞ ͜ ◟◞ ͜ ◟◞ ╯ ♡ search ''aesdesigns'' for more~
♡∩_∩ („• ᵕ •„)♡ ┏━∪∪━━━━━━━━━┓ ♡ ♡ you & me, always forever! ┗━━━ ━━━ ━━━ ━━┛ ♡ search ''aesdesigns'' for more~
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⠀⠀⠠⠐⠁⠉⠛⠿⢟⡽⣊⠤⣀⠀⠀⣀⠀⠀⠀⡀⢆⠈⣿⠘⣇⡑⠌⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠠⠀⠀⠀⡀⣿ ⠉⠉⠏⡿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢸⡇⢻⡃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡺⠀⠀⠀⠋⠀⣇ ⡀⣧⣿⣿⣿⣿⣿⣼⠀⠀⠇⣠⣆⠀⠀⠀⠉⠋⠉⠉⠟⣿⣼⢀⠂⢽⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⡤⢡⠀⠋⡾⢸⠁⡟ ⠋⣿⣿⣿⣿⣿⣿⠉⡉⣏⡸⠹⠀⠋⠿⣾⣿⣿⣿⣿⣾⣹⠀⠀⠀⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠔⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠈⡠⠀⠄⠃⡿⣭⣿⢿⢿⣿ ⣿⣿⣿⣿⣿⣿⣱⣋⢟⣿⣿⣻⡿⣿⣠⠟⣿⣿⣿⣻⠿⡿⢿⠙⡟⢨⠀⠀⠀⠀⠀⠀⠀⠀⠂⡰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠔⠡⣖⢌⠐⢣⠛⣿⣿⣿⣿⣿⢰⣿⣿ ⣧⣿⣿⣿⣿⣿⣿⣿⣿⣾⣅⣿⣿⢀⡟⣿⣿⣿⣿⢛⠘⡀⣿⣿⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣠⠒⡤⣁⢋⠟⡿⣿⣿⣿⣿⣿⣿⣿⠟⢿⡿ ⣯⣿⣿⣿⣿⣿⣿⣡⣼⢀⡿⣿⣿⡟⣿⣿⣿⣹⠉⡇⢻⡿⣿⢻⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠁⠉⠖⡹⢫⠛⠟⡿⣿⢰⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⣿⣿⣿⣿⣿⢸⡿⠀⡇⣿⣿⣿⣿⣿⣿⣰⠀⣏⡿⣿⣿⣿⠱⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠁⠙⠛⡿⣼⣏⣿⣿⣿⣯⣿⣾⣾⠙⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇ ⣿⣿⣿⣿⣿⣿⢿⣿⠀⡿⣿⣿⣿⣿⣿⣸⠀⠏⣿⣿⢻⡿⣨⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠛⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣼⣞⡇⠂⣀⣀⣤⣥⣿⣦⣿⣧⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠙⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣹⢎⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠐⠀⠀⠁⠈⠉⠉⠈⠀⠀⣧⣿⣿⣇⣿⣿⣿⣿⣿⢃⢷⣣⢜⢩⠠⠀⠀⠀⠀⡀⢄⣶⣿⣿⣿⣿⣿ ⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⣿⣨⣿⣿⢦⡙⠦⣊⠐⠈⠀⠀⠀⠀⠈⠁⠂⡀⠑⠌⠊⢣⠆⢋⢓⠶⣬⣤⣠⣄⣀⣀⣀⣤⢤⠶⣷⢠⡿⣿⣿⣿⣿⣿⣳⣹⢦⡜⠒⢈⠀⠀⠀⠀⠀⠀⠀⢤⣇⣿⣿⣿ ⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡅⣿⠿⣿⢲⣝⠣⢦⠔⢫⠔⠊⠁⠃⠄⠙⢢⡱⢆⡩⠜⢫⢽⣦⣈⠰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣐⣦⣿⣿⣿⢡⣻⢦⡙⢦⡙⢦⡈⠐⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿ ⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⣾⣾⣷⣬⣹⣦⣵⣮⠿⡹⢞⡡⠜⡪⠕⣣⡙⢧⢏⡷⢤⠘⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⣷⣿⣿⢞⣡⠜⢣⡄⢻⢄⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿ ⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣬⡜⢂⢠⡄⠀⣀⠠⢄⠡⡰⣯⢷⡩⢞⡡⠶⡙⢾⣹⠣⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣹⠜⢣⠡⢠⠀⡄⢳⡈⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷ ⠀⠀⠁⣿⣿⣿⣶⣿⣿⣿⣿⣿⣷⣌⠰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡡⣦⠿⣩⡼⡟⢼⡑⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢺⡕⢃⠠⠀⠀⠀⠀⣄⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⡄ ⠀⠀⡇⣿⣾⢀⠀⣄⣷⣿⣿⣺⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⡃⢦⡝⣽⡘⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡂⠑⢀⠀⠀⠀⠀⠀⠀⣯⠿⠙⠈⠀⠀⠀⠂⡀⢇ ⠀⠀⣿⣾⢀⠀⠀⠀⡇⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡁⢬⡹⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢁⠠⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⢿⠙⠀⠀⠀⠀⡏ ⠀⠀⡷⢸⠀⠀⠀⠀⡇⣼⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⡔⡝⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠗⠟⠻⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣻⣷⢿⠻⠏⡟⢿ ⠀⠀⡆⣌⠐⠀⠀⠀⠀⢸⠘⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡌⡚⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣲⢴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣻⣿⢾⣤⣀⣀⣦ ⠀⠀⠀⢆⡘⠡⠀⠀⠀⢣⠁⡛⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠌⣿⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠘⠀⠀⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⢾⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠳⢌⠉⠀⡀⣧⡘⣦⡖⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡝⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⢰⠀⠁⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿⣇⣿⣿⣿⢣⠙⠉⠋⡸ ⠀⠀⠀⠀⠀⠀⣄⡷⠻⠀⡀⣷⢿⠲⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡶⠘⠀⡿⣸⠐⠀⠀⠀⠀⠀⠀⠋⡴⣿⣿⣿⡿⣿⣿⢿⣿⣯⡷⣟⡴ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠳⠙⣿⠻⡀⢄⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⡾⣠⠜⢀⠖⣾⡔⠈⠀⠁⠋⠛⠾⣤⢀⠇⣿⣿⣿⣿⣿⣿⣿⣾⣟⣾⣠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⢻⠈⡆⣿⠻⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⣿⣿⢶⣁⠐⠀⠇⢾⣉⠟⣿⣾⣤⣀⠀⠀⠀⡏⣿⣿⣿⣿⣿⣴⣟⣿⣼⢀⠀⠀ ⠀⠀⠀⠀⠁⠛⠛⠒⠀⠀⠀⠀⡀⣷⣿⣿⢿⣿⣿⣿⣿⢿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⠀⠀⠁⠉⠛⠟⣿⣿⣿⣿⢊⠄⢀⠀⠀⡟⢿⣶⣠⢀⠀⠀⠀⠀⠀⠀⣟⣿⣿⣿⣿⣼⠏⣷⣿⢀⠀⠁⠚ ⠀⠀⠀⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⡞⣿⣿⢿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⡿⣾⣿⣾⣏⣿⣠⠀⠁⠊⠟⡿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⣿⣿⣿⣿⢋⣿⣿⣰⠀⠞⣣⢡ ⠀⠀⠇⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣷⣿⣿⣿⣿⢻⣷⣾⣝⣧⣾⣽⣦⣿⣿⣻⠆⠘⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿⠀⣿⢿⠀⠇⣹⠟⣿⣼⡀⣄⢿⠈⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣾⢠⠃⡴⡕⢪⡰ ⠀⠀⣟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⣾⡿⠦⣈⡖⢹⡄⢻⡈⣷⣿⣿⢰⠁⠂⠁⢀⠌⠂⠁⠀⣷⣿⣾⢿⣿⣿⢻⣇⣿⣿⣿⢠⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⣿⣿⣿⠛⡾⢀⠒⠉⠀⠀ ⠀⠀⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢺⡅⣿⣿⣶⣍⠢⢄⡀⠀⣇⠰⡆⢿⡎⣿⣽⢈⡱⠆⢉⡰⠌⢃⠐⠳⡘⣬⣷⡙⣤⣷⣿⣿⣿⣿⣿⠂⠈⠀⠀⡄⠸⠀⠀⠀⠀⠀⡁⣿⣿⣿⣿⣟⣿⣾⢀⠀⠀⠀⢏⠟ ⠀⠀⣧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢽⡏⣼⣣⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⢺⡔⡙⠤⢛⡾⣕⢊⡰⢓⣌⢶⠶⡾⣷⣿⠿⣿⣿⣿⣿⠸⡀⢢⠁⠀⣏⠙⠀⠀⠀⠀⡟⣿⣿⢷⣿⣿⣼⢀⠀⠁⠟⣵⣿⣴ ⠀⠀⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠆⣏⣿⣿⢶⣋⠞⣻⣧⡌⠲⢏⡷⠛⡄⡜⠣⢌⠲⠍⣛⣮⣷⣿⣿⣿⠛⢉⠛⡸⠀⣄⢿⠉⠉⡟⣿⣿⣾⣿⡿⣽⠻⠁⠟⣴⢋⣾⢀⠀ ⠀⠀⠀⣧⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠻⠎⢣⣟⣿⣿⣷⣛⣆⠜⢪⡴⢙⣦⢛⣄⢺⡜⠳⢎⢡⡴⠎⣇⣯⣿⣿⣿⣿⣿⣿⠿⠿⠻⡿⣿⣿⣿⣿⣿⣯⣽⡾⣧⡾⣽⢃⡾⣠⠀⠁⡗ ⠀⠀⠀⠀⢆⠈⠀⠀⠀⠀⠀⠀⠁⡟⢦⢀⠀⠀⠋⠾⠶⠒⠈⠀⠃⡿⢮⣙⢿⣿⣿⣿⡿⣿⣼⠿⣏⣚⠗⣈⡿⢼⡒⠜⠣⣆⣻⡜⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣟⢰⠀⣿⣿⣼⢀⠀⠞⣻⣰ ⠀⠀⠀⠀⠀⠆⠘⠀⠀⠀⠀⠋⣳⡰⢀⠀⠀⠞⣠⠀⠀⠀⣆⠈⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⢽⢻⡿⣿⣴⠏⣁⠲⢎⣃⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣾⠀⡟⡾⢾⢸⠋⡳⣾⢠⠀ ⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠟⣬⡰⠀⠀⠀⡜⠀⠁⠟⣾⢶⠓⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣾⣱⣏⠖⣠⣀⣄⢤⡲⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⢾⢸⠏⣼⢀⣇⣷⣟⣴⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢿⠀⡞⢳⣀⠀⠀⠀⡄⠀⠏⣴⢀⠀⠋⠣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣵⢏⡼⢀⠀⠀⠉⠉⠀⠀⠀⠀⣀⣄⣶⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣿⣾⡿⣞⣿⣼⠀⠀⡞⣟⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⡾⣜⠠⠀⠀⠀⠀⠀⠏⢠⠀⠀⠏⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⡿⣠⠀⠀⠀⡀⣤⣠⣤⠀⠀⠄⣀⣀⢎⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣟⣾⢀⠀⠟⣾⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⣹⢀⠀⠀⠀⠀⠀⠇⢠⠀⠀⠇⣸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⠚⠤⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⡀⣁⢡⣌⣷⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⡿⢰⠀⠏⣾⢀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⣼⠐⠀⠀⠀⠀⠀⠁⣸⠀⠀⠋⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⣰⢀⠀⠀⡀⢆⠻⠌⠙⣤⠀⠀⠀⠁⠋⡒⠉⣬⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⠀⠁⣿⢀⡇⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⣘⠀⠀⠀⠀⠀⠀⡇⢠⠀⠟⣿⣿⠃⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⠂⠀⠐⠀⠀⡂⣷⣿⡻⢟⠙⠀⠗⣼⣫⢾⠻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠀⡟⢸⠁⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⡴⠈⠀⠀⠀⠀⠁⠁⣼⠀⡞⣇⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣚⠡⣉⡙⠉⠉⢄⡸⣿⣿⣿⣿⢿⡹⣶⣿⣿⣿⣿⣼⣧⣧⣿⣿⣿⣿⡷⣿⣿⡏⣾⠀⡿⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⣺⢌⠀⠀⠀⠀⠀⠰⡟⢸⠃⢠⡏⣿⣷⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠟⣾⣩⣚⠗⠉⠏⣽⣿⣿⣿⣿⣿⣿⢿⣛⣦⣿⣿⣿⣿⣞⣿⣿⣿⣷⣯⣿⢾⣿⢰⡟⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⢒⢈⠀⠀⠀⠀⠀⢃⣿⢀⡇⣭⣢⢍⢣⡿⢿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢯⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⢿⣿⣿⣏⣿⣿⣯⣿⣿⣿⣽⡟⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡽⠎⠀⠀⠀⠀⠀⠀⡟⣸⠀⣾⠃⢆⢋⣿⣧⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣴⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣽⣿⢿⣾⣻⣿⢿⣯⣿⣿⣽⣻⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢾⠃⢀⠀⠀⠀⠀⠁⣿⢸⡞⣀⠘⢣⣿⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣈⣿⣿⣿⣳⣿⣿⣟⣿⣯⣿⣿⣿⣯⣿⣯⣟⣿⢿⣯⣿⣿⣻⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠼⢨⠱⠀⠀⠀⠀⡏⣿⢰⠀⢌⠃⣿⣿⣿⣿⣴⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣷⢯⣷⣿⣯⣱⢾⣯⡵⣿⢾⣟⣿⣽⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⣻⢌⠣⠀⠀⠀⠇⣿⣼⠉⡔⠋⣿⣯⣿⣽⢋⡾⣴⣠⢀⡄⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⡿⣶⣫⣵⣟⢺⣹⣿⣏⣻⣼⡟⣿⣾⣝⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢻⣌⠐⠉⠛⠟⢿⣿⢹⠛⠿⣻⠿⣶⣠⣀⣀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣞⣿⣿⣽⢾⣻⣷⢟⣯⡽⣾⣛⢿⣽⡾⣟⣿⣻⣗⢯⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣄⣀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣯⡽⣿⣿⣿⣿⣽⣻⣷⣟⣯⡷⢯⣳⣽⢾⣿⡯⣿⣿⣞⡳⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣷⣿⣿⣿⣿⣏⣿⣿⣽⣿⣿⡾⣟⣿⢾⣿⣿⣿⣾⣟⣯⡷⣟⣳⣟⣳⡾⣟⢾⣿⢯⣿⣏⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠘⠂⠀⠀⠀⠀⠀⠁⠀⠊⠁⠠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡇⣿⣤⣷⣿⣿⣿⢿⣯⡾⣟⣿⣿⢾⣿⣯⣿⣿⣟⢯⣳⣽⡽⣾⡽⣻⣵⢾⣟⢯⣽⢯⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢌⡰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣵⣀⢀⠈⡁⣬⣷⣾⣶⣿⣻⣿⣿⣿⣿⢿⣿⣿⣿⣟⣻⡿⣟⢯⣽⠿⣯⣝⡿⣯⡟⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣿⣷⡿⣹⢎⣧⠻⣴⢫⢳⡙⡶⡱⢭⡗⣯⢺⢥⠗⢿⡘⢧⡟⣜⠳⣜⢢⡝⡼⣙⠶⣌⢣⢚⡳⣍⡳⢎⣿⠀⠄⡀⠹⣆⠳⡜⢣⢎⣷⢣⡝⣺⣧⠟⡜⣎⢗⡺⣥⢻⡱⣎⡗⣾⠫⣖⡹⢲⣙⡳⡜⣧⢞⡹⣽⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⣿⣫⢷⢻⣞⣲⢛⣬⢳⡣⡽⣱⡝⡶⣿⣜⡳⡾⠈⠸⣝⡖⣿⡜⡳⣌⠧⣜⠲⣍⠞⣭⢛⡞⡶⢽⡹⣛⡇⢠⣦⠴⡶⠬⢿⣜⢣⡞⣼⣗⣎⣿⢧⣛⢽⣘⢮⡵⢣⣗⡹⢖⡿⣸⡇⠙⢜⣳⠮⡵⣛⡬⣏⠷⣭⣛⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⢿⣯⢞⣵⣻⢮⣟⢮⣛⡶⣭⢫⢖⣫⠵⣗⡳⢮⠵⣿⣎⢷⢧⣤⣵⣯⢞⣹⡮⡕⣎⠳⣜⠳⣌⠻⣔⢫⡇⣟⠶⡹⢼⠑⣋⣶⣶⣿⣿⣿⣿⣧⢞⡴⡿⣾⣿⢎⡳⢮⡹⢶⡹⢳⢎⡽⢎⣷⢣⣽⡀⠀⠑⢧⠈⠳⣹⢎⡿⣱⢏⣾⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⢿⣾⢿⣽⣻⣞⣟⡾⣭⢿⣫⢗⢮⣿⡼⢫⡞⣥⣛⢷⡹⢧⡻⣼⣿⣾⣾⣿⣿⣿⡯⠾⣷⣙⣎⣳⣌⡻⣌⠻⣌⢗⠃⢫⣞⣱⡏⠨⣿⣿⣿⣿⡿⢿⣿⣿⣿⣞⣇⢻⣟⢮⡝⣧⡻⢧⣛⡽⣎⡽⣻⢧⢏⠶⣧⣄⠀⠀⠡⡀⠈⠛⢼⡳⣏⢾⢽⡞⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⢿⡾⣏⣿⣿⣿⣿⣿⣾⣹⣏⣿⡸⣎⢷⣿⡹⣇⠿⣶⢹⡎⣿⢇⡷⣇⣿⣿⣿⠀⣿⣇⣸⠶⣇⣸⣿⠀⠀⠀⠀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣾⣷⣀⠷⢾⣀⣿⠈⢹⣿⣷⡿⣎⡹⣶⠿⣇⡏⣶⢹⡶⣿⢹⡎⣿⣸⡿⣿⣆⢀⠰⡀⠀⠀⠉⠎⢿⣆⠹⢇⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣾⢿⣻⡽⣛⡾⣏⣷⣻⣿⣿⣿⣿⣿⣷⣿⣿⢎⣷⣻⣾⣿⣿⢭⡻⣜⢧⣛⠾⣝⢾⣡⠿⣝⠿⣆⢹⡿⢃⣀⡜⣿⡟⠀⢀⠈⠄⠐⠀⡁⠠⠈⠄⢁⠂⠠⢃⢹⣿⠿⣀⡨⢻⡿⢀⡿⢋⣿⢳⣭⢳⡯⣟⡼⣹⢎⡷⣹⣿⣷⣻⢶⣣⢿⣷⣿⣷⣷⣽⣄⠀⠀⠀⠀⠉⠢⠀⠈⠙⠛⠦⠀⠀⠀⠀⠀⠀ ⠀⠰⣾⣻⡽⢾⣭⡗⡿⣭⢷⣻⢞⣽⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⡻⣼⢣⣏⢿⣹⣾⣱⢏⣟⣦⠛⢶⡿⣴⣤⢶⣻⠞⠀⠠⢀⠀⠂⠄⡀⠄⠠⢀⠀⡀⠁⠀⡑⢿⣣⢦⡶⣽⡷⠏⢠⣾⢭⡳⣮⢿⡱⣏⢾⡱⣏⣾⢿⣿⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣷⣦⣀⡀⠑⢤⡀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠙⠛⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⢸⣿⣿⣼⢳⣎⢷⣣⢟⣿⣿⣼⣚⣷⣄⠈⠉⠉⠉⠀⠀⡀⠁⠀⠂⢁⠎⡄⠐⡀⠀⠄⠐⠈⢀⠀⢀⠈⠉⠉⠉⣠⣴⣟⣧⣿⣿⡻⢧⡻⣜⣧⢻⡼⡱⢂⠉⠛⠻⠿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⠒⠋⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⣼⣿⡿⣿⣷⣮⣳⡝⣮⢳⡟⣿⣿⡀⢀⠠⠁⠂⡀⠄⠁⠠⠐⠀⠄⡈⠒⠀⠄⢀⠂⠀⠄⡐⠀⠂⠠⠈⠐⠀⡁⢀⠀⣾⣿⣟⢷⣹⢳⡝⣾⡼⢫⠜⣡⢻⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡹⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⢿⣟⣿⡿⣷⣿⢮⣷⣹⣳⣻⣿⣦⣤⠀⡀⠀⠀⡈⢀⠀⠁⡀⢀⠠⠀⠂⠀⡀⠈⢀⠀⡀⠌⠀⠁⡈⠀⢠⣴⣿⣻⣳⣎⣿⡼⡷⢛⡧⢜⠢⡙⢤⢛⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⣀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢀⣿⣿⡿⣿⣻⣽⣿⣿⠲⣌⠧⣩⠥⢻⣧⡀⢀⠀⠂⠁⠀⠂⠈⡀⠐⠀⠠⠐⠀⠁⠠⠐⠀⠂⢀⠐⠈⠀⠄⠁⠀⣴⡿⣩⠕⣎⢲⡱⣟⣰⣯⠘⢆⡙⠆⡎⡄⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡤⢶⢺⣽⣞⡿⢷⡟⠙⠿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢸⣿⣟⣿⣿⢿⣿⣿⡿⣱⢎⡳⢥⢯⢣⣿⣷⣄⠄⠀⠌⠀⠂⡀⠄⠂⠠⠀⡀⠄⠂⠀⠄⡁⠠⠀⠄⠀⠄⠈⣠⣾⣿⡷⣱⢫⢖⡣⣕⢻⣼⣿⡩⢆⡱⢊⠴⣁⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡿⠟⢙⡾⢿⣳⣏⡖⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢴⣻⣽⣾⡿⢿⢿⣿⡜⣣⢷⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⣾⣿⣿⣟⣯⣿⣿⣿⣗⣣⢞⡱⣋⢾⣣⣿⣿⣿⣿⣴⡠⠂⠁⢀⠀⠄⠁⡀⠄⠐⠈⠀⠐⠀⢀⠈⠀⣂⣤⣿⣿⣿⣿⠵⣟⡭⣲⢱⢎⡽⣾⣿⣇⠎⡴⡉⢖⡹⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⣸⠞⡯⣿⡿⢿⠷⣷⣽⣛⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣇⣿⣏⣾⣷⣯⢽⣏⠧⣞⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣯⣿⣿⣿⣿⣿⢧⡏⢾⣱⢫⢾⡷⣿⣿⣿⣿⣿⣿⣷⣦⣀⠄⠂⡐⠀⢀⠂⠌⠐⠀⠈⣀⣴⣶⣿⣿⣿⣿⣿⣿⣻⣧⣛⢖⣫⢞⡼⣿⣿⣿⡘⠴⣉⠖⣌⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⢿⣱⡿⣽⣾⣽⢞⣿⡱⡛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡷⢺⣞⣼⣿⢿⣺⣿⡹⣔⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣽⣿⣿⣿⣿⣣⢟⡳⢮⡝⣮⣿⣿⣿⣿⣿⣿⣿⢿⡿⣭⣛⠶⣤⣄⣀⣀⣠⣤⢾⡻⢽⣹⣿⢿⣿⣿⣿⣿⣿⣽⡷⣹⣎⢧⣛⢶⣻⣿⣿⣇⠳⣌⢚⠤⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣝⢲⣽⣷⠽⣿⡟⣎⡯⣵⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡍⣿⣶⣮⣶⠿⣟⠳⣜⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣾⢿⣿⣿⣿⡿⣧⢯⣝⡧⣟⠶⣿⣿⣿⣿⣿⣿⡄⢿⣟⣦⢭⡓⢧⡞⣭⢋⡷⣙⠮⣝⡺⣼⡿⠋⢿⣿⣿⣿⣿⣿⣳⢏⣞⢧⣛⡮⡽⣿⣿⣿⡧⠜⣌⡓⢦⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣎⢧⣛⠿⣿⣴⣽⣾⢱⡝⠀⠀⠀⠀⠀⠀ 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⣿⡿⣿⠿⠟⠻⠿⠿⠿⠿⠻⠿⣿⣿⡿⠛⢿⣻⣿⣿⣿⣿⢿⣿⣿⡿⠛⣿⣿⣿⠋⢛⣿⠋⢟⣻⡍⢯⠙⡄⣊⠙⠫⠔⣈⠿⣿⡟⢻⣿ ⣿⡇⠉⠀⠁⠁⠀⠐⢀⠔⠁⠀⡿⡄⠀⠀⠀⣜⡁⢘⠟⢣⢉⡿⡄⠀⠀⠀⣿⡷⣈⠚⠻⠋⠉⠖⡩⢢⠍⡔⢢⠡⣷⠂⠈⠈⠁⠚⠖⢲ ⣧⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣼⠗⢠⣶⣤⣾⣿⠄⠀⠀⢠⣟⡷⡴⠖⠢⣿⣧⠀⠀⠀⠀⠀⢀⣴⣷⣾⣿⣧⠩⠴⢢⢄⡀⠀⠀⠀⢀ ⣿⣧⠀⠂⡌⠑⠮⠀⠔⢱⠀⠐⣇⣠⣿⣿⣿⣿⣿⣶⣶⣶⣾⡮⠋⠀⠀⠀⠈⠋⠀⠀⠀⠀⣏⠾⡟⣿⣻⢿⣹⡖⠈⣳⣿⣿⣷⢴⡀⠦ ⡿⢿⠛⠳⡆⠀⠀⠁⠀⠀⠀⠀⠹⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣄⠆⠀⠀⢯⡎⣭⣮⠧⣯⣒⡑⢷⠾⣿⡿⡡⢆⡙⡒ ⡇⠀⠈⢐⠛⠀⠀⢀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣟⣿⣻⡻⣿⣿⣿⣿⣿⣿⣿⣷⣟⣤⢀⠲⣞⠶⡜⢧⣛⢏⣿⢟⣼⢟⣶⣷⣶⣷⣎⡵ ⣧⣶⣤⣧⢤⣜⣛⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⡿⢟⢛⣻⣿⣿⣿⣿⣿⣷⣿⣻⣟⣾⣳⣌⢻⡹⢾⡠⣈⡟⡽⣌⡻⠼⣿⣿⣷⢿⣶ ⣿⣿⡄⠀⠘⢻⡏⣉⡝⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠙⣬⣼⡟⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠉⢻⢆⢧⠳⣜⣳⢎⡄⣀⣽⣿⠋⠀⡅ ⣿⣿⣤⣦⢼⠾⣿⣶⣼⣿⣿⣿⣿⣯⣾⣿⡋⠁⠀⠀⠀⠀⢸⢹⣽⣿⣿⣿⡽⡄⠀⠀⠀⠀⠀⠀⠈⣏⢎⠏⠉⣱⠫⠞⢻⣿⣿⣿⣴⣧ ⡏⠉⠉⠇⠀⢹⣷⣷⣾⣿⣿⣿⣿⠙⢅⢳⠁⠀⠀⠀⠀⠀⠘⠜⣿⣿⣿⣿⣗⢹⡂⠀⠀⠀⠀⠀⠀⣏⢾⣟⢯⣵⡗⢴⣻⢻⡿⡛⠻⠇ ⣇⣀⣀⡾⠶⢿⣽⣿⣿⣿⣿⣿⣿⣶⣶⠏⠀⠀⠀⢠⠄⡄⡄⠠⠉⢿⣿⣿⣿⣧⠒⠀⠀⠀⠀⠀⣸⡽⣲⣿⣾⣷⡧⠀⢨⣿⣾⣶⣤⡆ ⣿⣿⠙⠒⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⡤⠤⠽⠾⠅⠁⠀⢸⣿⣿⣿⣿⣫⠀⠀⠀⠀⢠⣿⣽⡳⠛⢿⢯⣟⡿⣦⡿⣽⡾⠙⠛ ⣿⣿⠃⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⢀⠀⠀⠀⢸⣿⣿⣿⣿⡿⡄⡀⠀⠀⣾⡿⠞⠁⠀⣊⣿⡾⣽⣳⣿⣿⣄⠀⠀ ⡿⠿⠿⣷⣐⣄⣿⣿⣿⣿⣿⣿⣿⠛⢟⢿⣿⣿⣿⣿⣷⣤⢄⠀⠀⣼⣿⣿⣿⣿⡏⠜⡄⠀⣼⣿⣇⣀⢠⡾⣧⣼⣿⣷⣿⣿⣿⣿⠶⡿ ⡧⠀⠀⢙⡿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠈⢳⢙⢿⣿⣿⣿⣿⣷⠀⢠⣿⣿⣿⣿⣿⡇⠀⠱⣧⣿⠿⣿⣿⣿⣿⣿⢿⣿⡿⠉⣹⣿⣿⣖⡁ ⣷⣶⣤⣏⣧⣿⣿⣿⣿⣿⡿⡟⠀⠀⠀⠀⠙⠊⢿⣿⣿⣿⣿⡶⣼⣿⣿⣿⣿⣿⠆⠀⢀⣿⠈⠀⠉⢻⣿⣿⣿⣚⣿⢷⣶⣿⣿⠿⠻⢷ ⣿⣿⡅⠁⠘⢿⣿⠏⠁⠀⢠⠁⠀⠀⠀⠀⠀⡰⣿⣿⣿⣿⣿⢎⣿⣿⣿⣿⣿⠱⠈⠀⠇⠀⠀⠀⠀⢘⣿⣿⣿⡿⣿⣿⣿⣿⣿⠄⠀⠀ ⣿⣿⣥⣤⣰⣿⡏⠀⠀⣀⠂⠀⠀⠀⠀⢀⡼⢣⣿⣿⣿⣿⣿⢨⣿⣿⣿⣿⡟⡇⠀⠀⠀⠀⠀⢀⣴⣼⣿⣿⣿⠱⠤⢴⢘⣼⣿⣷⣀⣄ ⡟⠙⠉⢟⠉⢙⣇⠄⢀⠌⠀⠀⠀⠀⢀⣾⢧⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⠀⠀⠀⣆⣤⣼⣾⣿⣿⣿⣿⣿⣷⣷⣦⣽⣯⣥⠷⡎⠇ ⣟⢀⠀⣴⣶⣾⣿⡿⠓⠀⠀⠀⠐⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⢀⣿⣿⣿⣿⠟⠛⠛⠉⠀⠀⠀⠉⠙⢿⡺⢩⣶⠁ ⣿⣿⡿⠿⠻⠿⠋⠁⠀⠀⠁⣤⣿⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⣸⣿⣿⡿⠋⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢐⠅⠘⠚ ⣿⣿⠗⡀⠀⠀⠀⠀⠀⠀⢠⣀⠭⠤⣐⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡿⠿⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠈⠀⠀ ⣿⡇⠊⡢⢣⠀⠀⠀⠀⠀⠨⠚⢭⠽⠆⠙⢅⠉⢩⣩⣟⣭⡉⢻⠿⠟⠙⠀⠠⠄⣰⡿⢖⠎⣸⡆⠀⠀⠀⠀⣤⣤⣦⣴⣶⠒⡞⠀⠀⠰ ⣿⡀⠀⠀⠨⠙⡖⡀⠀⠀⠀⠜⣼⠄⠀⠀⠠⣿⣾⠷⠋⠳⢾⣿⡆⠀⠀⠀⢚⡾⠠⠋⠑⠾⣿⡷⠀⠀⠀⠈⠉⠉⠉⠁⠈⠀⢀⠀⠀⠀ ⣿⣿⣷⣦⣤⣤⡐⠁⠀⠀⠀⠐⣿⣷⣶⣷⣶⣿⣷⠀⠀⠀⢰⣿⣷⣾⣿⡔⣨⢯⠀⠀⠀⠰⣿⣿⣦⡀⠀⣀⠀⠀⠀⠀⠀⣤⣼⣶⣾⣷
⠀⢠⣄⣀⡠⠀⠀⠀⠀⠀⣀⣄⡴⢈⡦⠀⠀⠀ ⠀⠘⠓⠿⠷⠿⡿⠖⢴⣮⡴⠚⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣆⡁⠀⠀⠹⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠈⠹⣿⣦⠀⠀⠀⠀ ⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀ ⢿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣔⣴⣰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠾⠾⠾⠶⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠾⢋⢩⣭⢩⠽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡇⡠⢰⢰⣏⣦⣍⡝⣛⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⠏⠁⡔⠊⡻⣿⣿⡏⡿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡿⠁⡞⣢⢉⢞⣱⣟⣿⣶⣘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⢀⡁⠃⡆⡎⣷⢸⣻⣇⢳⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣏⢑⡗⢵⢊⡼⢸⡣⣟⣷⣿⣼⢺⢿⣶⣐⣂⣦⣤⣦⣦⣆⣀⣲⠿⠁⡐⠠⠄⠃⡇⠇⢲⢘⣾⠮⣧⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣾⣾⣾⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠐⡥⢏⡲⣘⢣⠎⣏⣿⢿⣽⢿⣮⣿⠌⡉⡤⣶⣬⢶⣽⣿⡉⢠⠰⠀⡀⠂⡁⡁⠑⠄⢼⢸⡹⣒⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣶⣾⣷⣷⣶⣶⣤⣄⠀⠀⠀⠀⠀⣿⠄⠘⣷⢣⣳⢹⢾⣝⡦⡭⢏⠻⣿⣿⡿⠠⠹⠏⠬⡟⡟⡷⣽⣷⠐⠒⠀⠄⠂⠄⡡⢁⠂⢼⢨⠕⣎⣿⡇⠀⠀⢠⣶⣦⣴⣼⣧⠀⣀⣦⣿⣿⣶⣶⣤⣀⠀⠀⠀⣰⣦⣾⣿⣿⣿⣿⣿⣧⣤⣷⡦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⣿⡬⢀⡳⣋⢶⣹⢯⢷⡝⡧⡯⡧⡄⢼⡷⠀⠆⡁⢃⠍⡯⡹⣾⣿⢰⢼⠄⡁⠄⠇⠠⠂⡐⢨⢸⠜⣢⣿⡯⡂⠀⣸⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢤⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⡛⠛⠻⣿⣿⣿⣿⣿⣿⡀⠈⢿⣿⠀⡘⢻⡜⢼⢳⣫⡝⣧⠟⣭⣘⠬⣿⣄⢀⡁⣁⡊⣴⣽⣿⡏⠩⠿⡆⡅⡄⡀⢄⠀⡐⢸⣸⢣⢳⣿⡇⡇⠀⢺⣿⣿⣿⣿⣿⣿⡟⠋⠛⠿⣿⣿⣿⣿⣿⣿⠭⠉⠉⠙⣿⣿⣿⣿⣿⡏⠉⠉⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣿⣿⣿⣿⣿⣿⠯⣼⠀⠀⠻⣿⠿⢿⠿⢿⠿⠖⢚⣿⠀⠄⢻⢸⢎⡳⣎⡟⣇⣛⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡋⠉⡃⣗⡒⢐⠤⢹⣸⡇⣿⣿⢂⡃⠀⢼⣿⣿⣿⣿⣿⡧⢤⠀⠀⠀⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⣿⣿⣿⣿⣿⡯⢨⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠂⠀⢠⠀⠊⠤⠌⠀⡀⡀⡀⠘⣿⡇⠐⢹⠸⠦⣝⣦⣹⣶⣿⣿⣿⣿⣷⠘⠛⠛⠿⠿⠛⠛⠁⢺⣿⣿⣿⣷⣦⣄⡗⡙⢽⣹⢬⣗⣿⣟⢸⠅⠀⢽⣿⣿⣿⣿⣿⡇⣺⠀⠀⠀⣿⣿⣿⣿⣿⣿⢐⠀⠀⠂⣿⣿⣿⣿⣿⡟⠸⠀⠀⠀ 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⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀ ⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠁⠩⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡁⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⠉ ⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢫⣿⣿⣿⣿⣇⢹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⣠⣀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⢂⣠⣤⣴⣿⣿⣿⣿⣮⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠕⠶⡿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠋⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣿⣯⣽⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⢹⣯⣴⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⢻⡇⠀⠀ ⠀⠀⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⡉⠻⢿⣿⣿⡿⠟⡀⠐⠐⠀⢀⣿⣿⡿⠿⠛⠙⠻⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢁⣼⣿⣿⣿⣿⣿⣿⡇⠀⢳⠀⠀ ⠀⠀⠋⠁⣼⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⡷⠁⢱⡶⣄⠮⠒⢀⠀⠀⠉⢀⡀⢀⣀⣤⣤⣿⠿⠿⠟⢿⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠃⠀⡼⠃⠀ ⠀⠀⠀⠀⣧⠀⣹⣿⣿⣿⣿⣿⣿⣿⣷⡇⠈⠔⡀⠒⣉⢘⠔⠀⠀⠐⢠⠍⡈⠈⠙⡹⡟⡿⢯⣷⡏⠀⠀⠀⠀⢀⠀⣀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡴⠟⠁⠀⠀ ⠀⠀⠀⠀⢹⣇⡀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣧⠰⠠⢨⠁⠀⠌⠀⠀⢂⠀⠑⠀⠷⠾⠿⠿⠿⠿⠛⠃⠀⠐⡀⡀⡀⡠⡀⡠⠠⠄⠈⢽⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠷⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣀⠂⢀⠀⠂⠐⠐⠐⠁⠂⢀⠀⠀⠄⢀⢀⢂⡤⠂⣄⠇⢄⢳⣠⢖⢮⡦⠀⣤⣿⣿⠿⠛⠉⠛⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡛⠪⠤⠐⠈⠀⢱⢔⠀⠁⡉⠀⠑⠁⠀⠤⣢⡴⢴⣢⣡⣶⠕⢟⣴⠷⠪⠑⠜⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠘⠻⣿⡏⠙⠿⣷⡀⠀⠀⠀⠰⠀⠶⠄⠳⡡⠭⠊⠒⠐⢳⠶⢯⠀⠚⢀⣑⠚⡈⠀⢀⣈⡴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⣾⣾⣶⣤⣀⣁⡁⡂⠙⠐⢠⠠⢈⢀⣈⣀⣄⣷⣷⣶⣶⣒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣷⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠙⢿⣧⣾⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡶⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⢀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠦⣤⣤⣯⣤⠼⠛⠛⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠦⠤⠤⠤⠴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⣿⣟⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣟⠘⡧⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⠔⠁⠀⠙⠫⣿⡹⢯⣻⡽⣫⣟⡽⣿⣎⠷⣫⢟⣧⡀⢻⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣝⠮⣝⣇⠈⡇⠀⠀⠀⠀⠀⠀⠀⣼⣿⡹⣏⢿⡹⢯⣝⡯⢏⡿⡝⠁⠀⠈⢷⡄ ⠐⠁⠀⠀⠀⠀⠀⠀⠛⠯⠷⠝⠓⠛⠉⠉⠙⣿⣜⡺⡜⣷⡀⠳⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣘⣿⡟⣬⢽⡄⢹⡀⠀⠀⠀⠀⠀⣸⣿⣧⢻⣜⢧⣛⡳⣞⣯⣛⣾⠡⠤⣤⣀⡀⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡳⣝⡲⢷⣄⠹⣄⣀⣠⣴⡖⠛⠋⠉⠉⠚⠙⣿⣞⣼⣳⡈⣿⠖⠤⢄⡀⣰⣿⣿⡧⣟⢮⣛⢮⡳⢿⣭⡛⢿⣀⠀⠀⠀⠉⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣙⠶⡭⣧⡘⣧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⠼⡆⠀⠀⠉⠛⠿⣿⣟⢮⣛⢮⣗⡻⡞⣿⣻⣾⠭⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⣠⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⣿⡿⠟⠯⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⢿⣽⡞⣮⢳⣝⣿⣳⢞⣧⠀⠀⠀⠀⠀ ⠀⢀⡴⣚⠣⢍⣆⣤⣄⠀⠀⠀⠀⠀⠀⠀⢀⣠⢞⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⢿⣧⡻⣜⣻⣧⢯⡽⣆⠀⠀⠘⠀ ⢖⠫⡔⣍⠺⡌⣼⡟⠁⠀⠀⠀⠀⠀⣠⠔⡿⢡⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⣷⣯⣿⡟⠳⣯⣿⡄⠀⠀⠁ ⣊⠵⡓⢬⠓⢶⢠⢿⡀⠀⢀⡠⠖⠋⢀⠎⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠂⠀⠀⠀⡀⠀⠀⠀⠀⠈⢿⣾⣷⣦⡀⠉⠛⠄⠀⠀ ⣆⢣⡝⢦⠛⡌⣣⣺⠵⠒⠉⠀⠀⣠⠋⢰⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣆⠠⠀⠠⡄⠀⠀⠀⠀⠈⠨⢿⣿⠛⠻⣆⠀⠀⠀⠀ ⡜⡖⢬⣆⠽⠞⠋⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠙⢦⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠈⣀⡀⠀⠀⠀⠀⠐⠀⡞⠉⠙⢾⣆⠀⠀⣿⠀⠀⠀⢀⡀⠀⢊⣿⡀⠀⠀⠀⠢⢄⡀ ⠜⣚⣅⠠⡤⠴⢦⠴⢲⠺⣏⣹⠃⠀⠀⠀⠀⠀⠸⡆⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⣿⡷⣆⠀⠀⡀⢠⠀⢧⠀⠀⠈⣿⡄⠀⢸⡄⠀⠀⠈⢧⠀⠀⢞⣧⠀⠀⠀⠀⠀⠉ ⠎⣕⠪⢧⡙⠭⣎⢓⡣⢇⣽⠋⠀⠀⠀⠀⠀⠀⢸⠃⠀⠲⣼⠛⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⠳⣀⣠⠏⠀⠀⠣⣀⡀⠻⢷⠀⠈⣇⠀⠀⠀⠘⣇⠀⠈⠿⡋⠀⠁⠐⠀⠀ ⠳⣡⠛⣬⢏⠼⣌⢣⡜⣼⠃⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⣴⠓⢄⠘⣆⠀⠀⠀⠀⠀⣀⡴⠁⢾⠀⠀⠀⡸⢧⡀⠀⠀⠀⠀⠀⠀⠘⣆⠀⣿⠀⠀⠀⠀⠸⡆⠀⠈⣧⠀⠀⠀⠀⠀ ⠀⠑⣗⢲⡸⢧⡌⢳⢰⡏⠀⠀⠀⠀⢀⣰⡞⠁⠀⠀⣼⡏⠀⠈⢢⡘⢦⠀⠀⠀⠈⠁⠀⠀⣻⠀⢀⡔⠁⠀⠙⢦⡀⠀⠀⠀⠀⠀⢻⡀⢸⡆⠀⠀⠀⠀⠹⡄⠀⢾⡄⠀⠀⠀⠀ ⠀⠀⠘⢦⠳⣉⣷⢡⡿⠀⠀⡾⠙⠋⠉⣿⠀⠀⠀⣰⣿⣿⣤⠀⠀⠉⠎⠳⡀⠂⠀⠀⠀⠀⢸⡧⠊⠀⠀⠀⠀⠀⠙⢦⣌⠀⠀⠀⠘⡇⢸⣿⡀⠀⠀⠀⠀⠹⡄⢸⣧⠀⠀⠀⠀ ⠀⠀⠀⠘⣷⠌⣺⣿⠃⠀⢰⠇⠀⠀⠀⢻⠀⠀⠀⣷⡟⡇⣿⣷⡀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠘⣇⡀⠀⠀⢀⣀⣤⣶⡿⢿⡶⣤⡀⠀⢽⠘⣏⣇⠂⠀⠀⠀⠀⠹⣜⣿⡀⠀⠀⠀ ⠀⠀⣀⣴⡿⣯⣒⡟⠀⢠⣿⡀⠀⠀⠀⣼⡄⠀⠘⣿⣇⢳⢹⣾⣿⣦⡂⠀⠀⠀⠱⣄⠀⠀⠀⣿⣠⣴⣾⡻⣝⡹⢷⡙⣾⡧⠀⠙⠦⣼⠆⣿⠼⡆⠀⠀⠀⠀⠀⠹⣟⡇⠀⠀⠀ ⡴⢻⣭⠿⠛⢇⣹⠇⣰⣿⣿⡀⠀⠀⠀⢸⡇⠀⢶⡿⣿⠘⡄⢿⣻⣻⣿⡂⠀⠀⠀⠈⠓⢴⠛⠉⡟⢿⡞⣻⢶⡽⢷⣻⣽⣿⠀⢰⡂⠈⠻⣿⢟⠿⣆⠀⠀⠀⠀⠀⠹⣿⠀⠀⠀ ⠻⣿⣅⠀⠀⠀⢹⣰⣿⡿⣿⡁⠀⢐⣵⣿⡇⢀⣼⢣⡿⠀⢱⡈⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠙⠦⣑⡀⠙⠳⠯⠽⠷⠟⢋⣽⠀⣹⠀⠀⠀⣿⣺⠡⡈⠟⠶⣀⠀⠀⠀⠘⣧⠀⠀ ⠀⠘⣿⣦⡀⠀⡞⠈⢻⣷⣻⣇⣠⣿⣿⣻⣿⠀⣿⢿⡇⠀⠀⠑⢄⡉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠒⠤⡀⠀⠀⠀⠁⣸⢀⡏⠀⠀⠀⢿⡏⡡⠍⠎⡴⣉⠻⠶⢤⣀⠘⢆⠀ ⠀⠘⠁⠻⣷⣆⢀⣠⡾⡿⡼⢿⣿⣿⣖⢧⣿⣾⢿⠃⢿⣦⡀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⢞⠉⠢⡀⢸⠀⢀⡀⢸⣿⣿⠇⠀⠀⠀⢸⡱⣈⢃⠞⡤⢑⠊⣜⣠⣭⡏⢛⠲ ⠀⠀⠀⠀⠈⢿⣿⣝⣫⣷⠿⠋⠙⣿⣿⠏⠁⠙⣼⡇⠈⢷⡉⠶⣤⡀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠁⠀⠑⣀⣼⣧⠖⠉⡴⠋⢸⡿⠀⠀⠀⠀⢸⣶⠠⠣⢊⢴⡵⠟⡋⢡⠒⡌⡅⢣ ⠀⠀⠀⠀⢀⣴⣿⡛⠉⠀⠀⠀⠀⠸⣟⠀⠀⠀⢸⡇⠀⠈⣧⢃⢼⡏⡙⠶⠦⢤⣤⣤⣭⣥⣶⣦⣭⡽⢶⣏⣀⣠⡎⠀⠀⢸⣇⣀⠀⠀⠀⠐⡟⣧⣋⣼⠫⢈⣺⠋⠒⠥⣘⣠⣃ ⠀⡀⢀⣴⢿⡹⣞⢿⣤⡤⠔⠊⠁⠀⢈⡇⠀⠀⠐⣇⠀⠀⠘⣧⢚⣷⠡⡚⠴⡩⠰⠤⣠⣢⡶⠋⢼⡇⢝⡆⠀⠉⣿⢦⣤⣾⡽⣉⠟⡶⢦⣤⣿⣈⢿⠃⠜⣾⠃⠀⠀⠀⠀⠀⠀ ⡾⣝⣯⢞⡧⢿⣹⢾⠏⠀⠀⠀⠀⣰⣏⠀⠀⠀⢰⣿⠀⠀⠀⠙⣦⢻⣇⡱⢣⠱⣉⠖⣴⡷⠳⣍⡼⣇⣊⢷⠀⣸⡿⣞⣿⣯⢓⢌⣛⡄⢧⣊⠬⡟⢟⡻⣾⣁⠀⠀⠀⠀⠀⠀⠀ ⡿⡼⣞⣽⣚⣯⣷⢿⠀⠀⠀⠀⠀⢈⣿⣧⡀⠀⣾⢹⡆⠀⠀⠀⠹⣾⣇⠲⣡⠓⠬⣭⡿⡰⢡⠍⡳⣌⡝⣿⣆⣿⣱⣿⣿⡟⣼⣿⣿⣿⣶⢌⡣⠝⡮⡲⡐⣿⣿⠀⠀⠀⠀⠀⠀ ⠟⢵⢿⣜⣳⡾⠃⠀⠀⠀⠀⠀⣠⡿⢁⠜⡛⣶⡇⠈⡇⠀⠀⠀⠀⠹⣿⡆⠥⣩⢓⡾⣥⠱⣈⠦⡑⠜⠣⣿⠹⣟⢨⣿⣿⠓⡼⢿⣿⡷⢋⢦⠹⣏⡖⣗⢡⣿⠭⡰⢠⡄⣀⡀⠀ ⠀⣀⠉⠀⠙⠁⠀⠀⠀⠀⣠⣾⠻⢰⣉⠲⢔⡨⡙⢦⣿⠀⠀⠀⠀⠀⡹⣯⠔⣱⣾⡹⢄⠳⢠⠣⠜⣌⠡⣿⡡⢿⣜⣿⣿⡘⡔⢣⠒⡬⡙⢬⠷⠼⡚⣌⣾⣯⢒⡹⢲⣘⢶⡻⠀ ⠀⠀⠑⠢⣄⠀⠀⠀⣠⢞⡿⢁⢣⠣⡰⣉⠦⡑⡜⡐⣻⣄⠀⠀⠀⠀⠀⢻⣷⢞⡱⢊⣌⢣⠣⢍⠲⢌⢡⣻⣇⠦⣈⠝⠻⣿⠙⠓⠛⠶⠿⠾⣾⣵⣷⣾⡿⡏⠉⠛⠓⠛⠮⠇⠀ ⠀⠀⠀⠀⠈⢹⡶⠚⣱⠏⡘⡌⢆⢣⡑⢆⠲⣁⢎⡱⢘⣟⣆⠀⠀⠀⠀⠀⢷⡢⠜⣡⢘⠢⠓⣌⠲⣬⢾⡿⣿⡰⢈⠖⡱⢸⠀⠀⠀⠀⠀⠀⣾⡇⡻⡀⠀⠁⠀⠀⠀⠈⠀⢀⣀ ⠀⠀⠀⠀⠔⠋⢀⡼⢁⠎⡱⡘⡌⢲⠘⣌⠓⡔⢢⡑⡂⢿⡘⢦⠀⠀⠀⠀⠀⢷⡉⢤⡉⢎⠱⡂⣽⠏⣿⠇⡙⣧⠸⢨⠅⣻⠀⠀⠀⠀⠀⣸⢿⡇⠜⣹⡄⢀⠀⡀⠀⠀⠀⠈⠇ ⠀⠀⠀⠀⢢⡔⣁⠢⡁⢎⠑⢢⠉⣆⠳⢌⠳⠨⠅⢎⠱⡘⣧⠈⢧⡀⠀⠀⠀⠉⣿⢢⢩⣘⣆⡿⣉⠆⣽⢌⠱⡙⢯⡔⢊⡇⠀⠀⠀⠀⢠⠃⢸⡜⠰⣀⠫⡉⠝⡩⢍⠩⡑⢒⠡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡶⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣶⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣄⡙⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣌⢻⣳⣛⡟⡿⣿⣳⡄⠀⠀⠀ ⠀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣳⣻⣆⣷⡹⣎⢷⣩⢷⡻⣆⠀⠀ ⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣾⣿⣵⣏⣞⡲⡽⣷⣻⡆⠀ ⣾⠀⠀⠀⠀⠀⠄⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣷⣿⡗⣿⠀ ⣿⡄⠀⠀⠀⡸⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⢀⢸⣿⢻⣿⣿⢿⣿⣯⣿⣿⣿⣿⡆ ⣏⣇⠀⠀⠀⡟⠀⠀⢀⣿⠀⠀⠀⢀⡇⠀⡾⡇⠀⠀⠀⣯⢸⣿⠸⣿⡏⠀⢿⣿⣿⣿⣿⣿⡇ ⣟⡞⣆⠀⣘⡇⠀⠀⢸⡇⠀⠀⢀⣾⢃⣼⠁⣧⠀⠀⣼⡇⣿⣯⠴⣿⠃⣀⣨⣿⣿⣿⢹⣿⡇ ⣿⢸⣏⢳⢧⣇⠀⠀⡯⠅⠀⣰⠟⣿⡿⠓⠒⢿⠀⣰⣿⣿⡿⣣⣴⣿⣿⣿⠉⣿⣿⣿⢸⣿⠀ ⢸⡝⣧⣻⡾⢻⡀⠀⣿⣴⡿⢷⠶⣿⡶⣦⣤⣺⣼⣿⣿⠟⠑⢻⡗⠛⠀⣼⠀⢸⣿⣯⣿⠏⠀ ⠈⣯⣿⣯⠀⡜⣧⠀⣷⠙⠄⢿⠉⠛⠩⢩⠁⣿⠟⠁⠀⠀⠀⠀⠑⠚⠋⠁⠀⣾⣿⠟⠏⠀⠀ ⠀⠹⣿⢻⣆⠳⡈⢷⡼⡆⠀⠬⠓⠒⠒⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣫⠏⠀⠀⠀⠀ ⠀⠀⠙⣧⡹⣷⣦⣤⣹⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠉⠻⣾⣹⡿⣷⢦⣄⣀⡀⠀⠀⠀⠐⠒⣉⣁⣠⣤⣴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠉⠳⡿⣹⣿⣿⣿⣏⠩⠙⢻⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⣿⡿⢿⣿⣷⣿⣿⢿⣿⣻⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⠟⠛⣿⣾⣿⡏⢆⢸⢸⣿⠟⡇⣬⢳⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠃⠀⣰⣿⡇⣿⣯⠉⡿⢹⣿⡄⣿⠘⠃⡹⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢏⠀⢀⣵⠏⣿⡇⣿⣷⠈⠁⢸⣿⡆⣹⢶⣂⣵⠟⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⢯⣤⡜⣰⢧⣤⣉⣀⣿⡟⠒⠒⢺⣿⣧⢾⠀⠙⡤⠞⠉⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡟⠦⣌⣽⢻⡶⢤⣼⣿⣿⠧⠀⠀⠸⣿⣷⡞⠀⠀⠙⠛⠒⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣅⣤⠾⠃⢠⣿⣷⣶⣶⣶⣶⣶⣶⣶⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⠏⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⠀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⣟⣿⠿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣞⣃⡷⠀⠙⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Me when I actually make a kaomoji: /\ /\ ( ・V・ ) It’s ALIVE! IT’S ALIIIIVE!! _ /\__/\ \ l )’ ‘) \ .-’ / O | (,_,/’i,_,)
( ꩜ ᯅ ꩜;) ᵎᵎᵎᵎᵎᵎᵎᵎᵎᵎִ ࣪𖤐
⣿⣿⣿⣿⣿⡿⢛⡙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡏⢹⠘⡅⠎⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⠘⠀⠀⠁⣿⡿⢻⣿⣿⠿⠡⢐⡂⡀⠀⠐⣍⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣯⠀⠀⠀⠀⠋⢀⣾⡿⠟⠚⢀⠀⠀⠀⠀⠐⠳⠑⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡄⠀⠀⠀⣀⣾⡿⣱⠁⣠⣿⡧⡄⡀⡀⠀⠀⠀⣈⣛⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠋⣓⢀⣶⢿⣿⠛⢀⡖⠊⣧⣿⣿⣿⣼⣵⣇⣴⣾⡗⢸⣿⣿⣿⣿⣿ ⣿⣿⣟⣙⠄⣻⢆⣿⠃⣇⠀⢈⢧⠀⢺⣿⣿⣿⣿⣞⣿⣿⡟⠧⢿⣿⣿⣿⣿⣿ ⣿⣿⢣⡟⣆⠹⢦⠏⠀⠰⢠⠟⡏⡄⣼⣿⣾⣿⣿⣿⣿⣛⣦⡇⢸⣿⣿⣾⣝⣿ ⣛⣿⢹⣿⢲⢲⣫⠀⠀⣨⠊⠀⠑⠣⢼⣿⣷⣿⣿⢿⡳⣟⣞⠡⢛⢻⣿⣿⣷⣿ ⣿⣿⡾⡏⣡⢳⠃⠀⠄⠅⠄⡀⠤⣌⠻⢟⢿⡿⠃⠀⡠⡙⡂⡀⡰⠀⠻⣿⣿⣿ ⣿⣿⣹⣷⢧⡻⠠⠈⠀⠀⠸⡇⠈⢒⣾⢻⣤⡆⠀⢐⢩⠼⢣⣣⠥⠀⠀⠻⣿⣿ ⣿⣷⡌⡞⣷⠁⠀⠀⠀⠀⠠⢃⠀⠯⡿⢻⡘⡗⢴⡭⠋⠀⢢⠌⠃⠀⠀⡀⠻⣿ ⣿⣿⣷⡹⢜⡷⢢⠤⠤⠤⠂⠀⠀⠘⢦⢿⣨⣗⠠⡚⢀⢠⢾⡠⠀⠀⠀⠀⠀⠈ ⣿⣿⣿⣷⡾⣜⢡⢀⣼⣻⡴⠄⠤⢀⣉⣛⡁⠀⠀⡩⢷⣯⢽⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡟⣩⠖⢯⣿⣻⣶⣿⠷⠢⡮⠿⢈⡆⡦⡵⠣⠻⠞⠂⢠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠶⠶⠛⠛⠛⠛⠶⠶⣦⣤⣀⣠⡾⠁⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⠿⠽⠿⠿⠿⠿⠶⠶⠶⢶⣤⣤⣀⡀⠈⢹⡟⠀⠀⠀⠀⠀⠘⣧⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⡯⠵⠶⠶⠤⢤⣤⣤⣀⡀⠀⠀⠀⠀⠈⠉⠛⢷⡟⠀⠀⠀⠀⠀⠀⠀⣿⣟⠉⠉⠉⠉⠛⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠶⣤⣀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⢠⡏⠙⢷⡄⣀⣀⣤⣤⠤⠿⢷⣦⠤⠤⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣼⡇⠀⠀⠀⠀⠀⠀⠀⣸⣧⠶⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⡀⠀⣠⣤⣀⣠⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢿⣼⣧⣰⡿⠕⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡞⠉⠹⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣶⢤⣀⠀⠀⠀⠀⠀⠀⣀⣠⣶⠟⣏⠀⠀⠀⢹⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡟⡀⡾⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢧⠉⠛⠛⠛⣿⠛⡟⢹⣇⠀⠀⠈⡄⠀⠀⠀⢻⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⠀⣿⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⣿⣺⡃⠈⣿⠀⠀⠀⠉⠀⠀⠀⠸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣇⠀⠀⠀⠀⠀⠀⢸⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⢹⣿⣷⠆⣿⣷⡆⠀⠀⠱⠀⠀⠀⢿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢿⠀⠀⠀⠀⠀⠀⢸⣦⣶⣿⢿⣯⡿⠷⠦⣤⡀⠀⠀⠀⠀⠀⠀⠸⣇⠀⢸⣏⡿⣦⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢀⣴⠯⠽⠿⠷⢶⠇⢸⡄⠀⠀⢀⠀⢰⢿⠏⠁⠀⠀⠈⠛⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣸⡿⠇⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⢀⣴⠋⠀⢸⡏⠀⢀⢸⡄⣷⣸⠀⢀⡀⣀⣀⣤⣤⣤⣽⣿⣶⣴⡶⠀⠀⠀⣴⡿⠋⠙⠻⣶⣿⡿⣿⣯⣷⠀⠀⠀⠀⠀⠀⢿⡇⠀ ⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠛⢡⣀⠀⢸⣷⢼⣏⡟⢀⣿⡏⢰⣿⣿⣿⠿⠿⠿⠿⠿⠿⢿⡏⠀⠀⠀⠀⠸⣇⣀⣤⣤⠜⢿⡇⣿⣿⣻⡀⠀⠀⠀⠀⠀⠸⢹⠀ ⠀⠀⠀⠀⣰⠏⠀⣼⣦⠀⠀⣴⣴⣶⣾⣿⣿⣿⣷⣦⣅⣸⡿⣾⣾⣥⢿⡟⠀⢹⠟⠉⢀⣴⣿⣿⣦⡀⠀⢸⡇⠀⠀⠀⠀⠀⣿⢻⣿⣿⠀⣸⡇⣿⣿⣏⣧⠀⠀⠀⠀⠀⠀⠈⡄ ⠀⠀⠀⣴⠏⢀⡾⠃⣿⠀⠀⠘⣿⡛⠁⠀⠀⣤⣤⣬⣙⣿⣽⠟⠛⠁⠉⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡧⠀⢸⡇⠀⠀⠀⠀⠀⣼⡆⠀⠀⣴⣿⣇⢹⣏⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡼⢃⣴⠋⠀⠀⢹⠀⠀⠀⠘⣷⡀⠀⢸⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⠿⠿⠋⡁⠀⠘⣷⠀⠀⠀⠀⢰⣿⣇⣤⣾⢿⡌⣿⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡞⣡⠟⠁⠀⠀⠀⢸⠀⠀⠀⠀⠹⡇⠀⠀⠛⡿⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⢰⠇⢠⡏⠀⠀⣿⠀⠀⠀⠀⣼⣿⣿⣥⣍⢸⣷⢿⡆⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡞⡼⠁⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢳⣰⠆⣼⠁⣾⠁⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠀⠈⠀⠀⢠⡟⠀⠀⠀⣸⣿⣿⣿⣿⣿⢸⢿⣿⣷⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠁⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠸⡍⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠰⣿⣿⣿⣿⣿⣿⠈⢈⠙⢿⣇⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠂⠀⢠⡿⢛⣿⣿⣿⣸⣿⠀⣤⡄⠘⢿⣎⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢠⠟⢷⣄⠀⠀⠀⠀⠀⠀⠉⠛⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⣰⣿⣷⠀⣿⣿⣿⣿⣿⡜⣿⣸⣾⠋⠻⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⢠⡟⠀⠀⠙⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⢡⡀⣼⡟⠉⠹⣆⣸⣿⣿⣿⣿⣖⢻⣏⣽⡇⠀⢙⡞⢿⣶⡀⠀⠀⠀⠀ ⠀⠀⣧⠀⠀⠀⣸⡇⠀⠐⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⣤⣄⣀⡀⠀⢀⣀⣠⣶⠟⢿⣿⣿⣳⡏⣼⡏⠁⠀⠀⠹⣿⡟⢿⣿⣿⣿⣟⣿⡽⣿⣄⠀⢷⠀⠉⠁⠀⠀⠀⠀ ⠀⠀⠘⡆⠀⠀⣿⠀⡞⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣻⣿⣿⡟⠃⠀⢀⣹⣏⣿⣿⠏⠀⠀⠀⠀⢰⣿⠃⠀⠙⢿⣿⣿⣿⣿⣿⣧⠀⣾⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⡄⠀⣿⠀⡇⡀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢻⡟⣿⠁⠀⣠⣿⢻⢿⣿⠇⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣶⣿⣿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣷⠀⢹⣾⣧⠃⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⣾⣹⠧⠀⣼⡿⠃⣸⣿⣿⠀⠀⠀⠀⢠⣾⡃⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣟⣻⣿⣦⡀⠀⠀⠀ ⠂⠀⡀⠀⠸⡆⠀⢻⣧⣤⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⢸⢇⣿⠀⣠⣿⣇⠀⠛⢻⣿⡀⠀⢀⣣⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡿⣿⣷⡄⠀⠀ ⠀⠀⠁⠀⠀⣿⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣧⡿⢸⡇⣸⡟⠉⠛⠀⠀⠀⠉⢁⡰⣺⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⠿⣿⡄⠀ ⠀⠀⠀⠀⠀⣽⢳⡄⠈⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⢻⣿⡇⣿⣱⡟⠁⠀⠀⠀⠀⠠⠞⢉⣴⣿⣤⡴⠶⠶⠶⢶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠘⢿⣤⣀⠘⢿⣦
⢡⠈⡐⠀⠀⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠂ ⢂⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂ ⠎⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡍⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡜⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡒⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡱⢀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠥⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠆⠡⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦⣤⣾⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣿⣿⣿⠀⣀⣴⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡍⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣶⣿⣿⣿⣿⣿⡋⠁⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⢿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢆⠁⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⣤⡀⠀⠀⠀⣠⣴⣿⠿⢻⣿⣿⡿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠉⠻⣿⣿⣦⠀⠀⢀⣴⣾⠿⠉⠀⠀⢀⣠⣾⡿⠟⠉⠀⠀⠀⠙⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠎⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣷⣶⣾⣿⠟⠁⠀⢘⣿⣿⡇⠈⠙⠛⠛⠃⠀⠀⠀⠀⠀⠀⢀⣼⣿⡟⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣴⣿⡿⠉⠀⠀⣠⣴⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡍⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⣾⣿⠿⠀⠀⠀⠀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠉⠀⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⢀⣰⣾⣿⠇⠀⠀⠀⠀⠀⠈⢻⣿⣿⣯⠀⢀⣴⣾⡿⠋⠀⠀⠀⣀⣤⣶⠾⠃⠀⢰⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡜⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠃⠀⠀⠀⠀⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⣿⠿⠁⠀⠀⢀⣤⣾⣿⠛⠁⠀⣀⣀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡒⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⡀⠀⢀⣴⣿⣿⣋⣤⣶⡾⠟⠛⠃⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡅⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣤⣶⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⣽⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡜⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣦⣤⣤⣀⡀⠀⠀⠀⠀⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣿⣿⣿⣶⣾⣷⣷⣿⣶⣾⣶⣶⣶⣤⣬⣛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡒⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣿⣿⣷⣾⣿⣿⣷⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡱⢀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣦⣌⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠇⠘⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⡀⠀⠀⠀⠀⠀⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠥⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣩⣿⣿⣿⣿⡿⠿⠿⠿⠿⠆⠀⠀⠀⠀⣴⣿⣷⠀⠉⠛⠛⠻⠿⢿⣿⣷⣶⣶⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡃⠌⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣀⠀⣠⣿⣿⠏⠀⠻⢿⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣦⠀⠀⠀⠀⠀⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⡟⢠⣶⣶⣶⣿⣿⣿⣶⣶⣾⢆⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠥⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⠛⠻⠿⢿⠿⣟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⣀⡀⠀⠀⠀⠀⣀⣄⣹⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠈⠉⠉⠙⠛⠛⠛⠻⠟⠛⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡃⠌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⢿⣿⣿⠀⠀⠀⠀⠛⠛⠿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠂⠀⢠⣶⣦⣄⡀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡱⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡆⠀⠀⠀⠠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣠⣿⣿⡗⢿⣿⣷⣭⡻⢿⣿⣷⣦⣤⣴⣤⣴⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠥⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣧⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⣿⣿⠧⠈⠉⠁⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣛⣿⣿⣿⣿⣈⠀⠉⠛⠿⣿⣷⣮⣭⣛⠛⠿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢣⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡄⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣽⣿⡿⢿⣷⣶⣶⣤⣤⣄⣠⣁⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠸⠿⠛⠛⠿⢿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠈⠛⠻⢿⣷⣦⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣃⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡀⠀⠀⠘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⡿⠿⠟⠁⠀⣤⣶⣦⢀⣤⣴⠀⠀⢺⣿⣿⣿⣿⣧⣤⣀⠉⠉⠻⣿⣿⣿⣟⡛⠛⠟⠿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⢠⣿⣿⠏⠀⢨⣭⣿⣿⣿⣿⣷⣦⣄⡀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⡄⠀⠀⠸⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠃⠀⠀⠈⢻⣿⣿⣏⠛⠻⣿⣿⣶⣦⣄⡉⠛⠛⢵⣶⣶⣤⣾⣿⠟⠁⠀⠀⠀⠀⠀⣰⣿⣿⠋⣀⣀⣀⣩⣙⠛⠛⠿⢿⣿⣿⣦⣀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡃⠄⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣄⠀⠀⢀⣤⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⣦⣄⡙⢿⣿⣿⡄⠀⠀⠀⣠⣴⣆⣴⣿⣿⣷⡛⠛⠛⠛⠻⠿⢿⣿⣶⣦⣄⡉⠛⢋⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡑⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣄⣸⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣻⠿⠻⣿⣿⣿⠿⠟⠛⠋⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠈⠙⠛⠿⢿⣿⠾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡱⢈⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠙⣻⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⢿⠷⡿⠿⠛⠀⠀⠀⠠⣶⣶⣷⣦⣸⣿⣿⡏⠙⠛⠿⢿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠥⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣙⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣬⣿⣿⢿⣿⣿⣿⡆⠀⠀⠀⠈⠉⠛⢿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡃⠌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠛⠋⠉⠹⣻⣿⣿⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⣾⣿⣿⣋⣿⣿⣷⡉⠻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡱⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠟⠋⠀⠀⠀⠀⠀⣿⣿⡟⣙⣿⣿⠿⠿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣦⣀⣄⣠⣤⣤⣤⣴⣶⣶⣾⠿⠿⠛⢿⣿⣷⣭⣭⣟⣩⣿⣿⠏⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠥⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡛⠛⠛⢿⣿⣿⣍⡉⠁⠘⠻⣿⣿⣶⣤⡀⠈⠉⣻⣿⡟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢣⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡏⠀⠀⠀⠀⠉⠻⢿⣿⣷⣦⣀⡀⠀⠉⠉⠁⢀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣃⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣷⣶⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⡐⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣃⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢣⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣃⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢆⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠎⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡍⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢆⠁⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠎⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡍⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠜⡠⣐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠿⠿⠛⠿⢿⣿⣷⣄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⢿⣿⣶⣶⠶⠶⠶⣶⣶⣦⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠿⣷⣶⣤⣤⣄⣠⣴⣶⣾⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⣄⢀⡀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⠿⠛⠛⠛⠿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣇⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⡀⣾⡿⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠶⠟⠛⠛⠛⠛⠛⠛⠻⠶⢦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦ ⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⢀⣴⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣄⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⢸⣿⣿⣷ ⠀⠀⠀⠀⠀⠂⣿⡟⠀⠀⠀⢰⣿⠏⠀⠀⠀⠀⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⢻⣧⡄⠀⠀⠀⠀⢸⣿⣿⣧ ⠀⠀⠀⠀⢀⣼⣿⠁⠀⠀⢠⣿⣿⡇⠀⠀⢀⣾⡟⠁⣀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⠀⠀⠀⠀⢺⠀⣿⣳⠀⠀⠀⠀⢘⣿⣿⡇ ⠀⠀⠀⢀⣾⡿⠁⠀⠀⢀⣾⣿⣿⢀⠀⠀⢸⣿⣳⢃⢃⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠈⠀⣿⣧⠀⠀⠀⠀⠈⣿⣿⡇ ⠀⠀⣠⣿⠏⠀⠀⠀⠀⢸⣿⣿⣿⠈⠂⢰⢼⣏⣹⡜⠻⣿⣿⠟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡷⢤⠀⠐⡆⣿⠀⠀⠀⠀⢀⣿⣷⠀⠀⠀⠀⠀⣿⣿⠁ ⠀⣴⡿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠈⢺⣿⡘⢿⣿⣿⠇⠀⠀⠀⠰⣿⣶⣦⣤⣠⣄⠀⠀⠀⣸⣿⣿⣇⡀⠀⠀⢰⣿⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⣻⣿⠁ ⢰⡿⠁⠀⠀⠀⠀⠀⠀⠸⣧⠛⢿⣶⣀⣠⣬⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠛⠋⠀⣠⡶⠟⠉⠉⠉⠙⠛⢀⣾⠏⠀⠀⠀⠠⣦⣿⠀⠀⠀⠀⠀⠀⢹⣿⡄ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣤⣿⣿⠿⠉⠈⠙⢿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠋⠀⢀⣠⣶⠾⠻⠷⣿⣿⣄⠀⠀⢀⣾⡿⠃⠀⠀⠀⠀⠀⠀⠰⣿⡇ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡟⢻⡟⠀⠀⠀⠀⠀⠮⣝⢻⣷⣶⣤⣤⣤⣤⣴⣤⣤⠀⣀⣠⡶⠟⠉⠀⠀⠀⠀⠀⠈⣿⣷⡀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿ ⢻⣷⡄⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡜⠁⠀⠀⠀⠀⠀⠀⢹⣿⢿⣦⣿⠉⠀⠀⠀⠈⠹⣿⣿⢿⠆⢀⡀⠀⠀⠀⢀⣠⣾⠏⢹⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿ ⠀⠹⢿⣆⠀⠀⠀⠀⠀⢾⡏⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢰⣷⣼⢻⣾⠀⠀⠀⠀⠀⢀⣿⠷⡈⠀⠀⠈⠓⢀⣸⠋⠁⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠈⠻⢶⣄⡀⠀⠀⠀⠁⠀⢹⣿⣷⣤⣤⣤⣤⣤⣾⣏⡁⠚⠀⢻⣦⣀⣀⣀⣠⣾⠏⠀⠳⡄⠀⠀⣰⣾⣿⣛⣛⢶⣶⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐ ⠀⠀⠀⠀⠀⠉⠛⢻⣿⣶⣤⣶⣿⣿⡿⠋⠉⠉⠀⠉⠙⢿⣆⡀⠀⠀⠈⠋⠙⠛⠉⠁⠀⠀⠀⣩⣶⡿⠟⠛⠉⠉⠛⣿⣿⣛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⣀⣀⣀⣼⣿⣿⣿⠿⠋⠀⠀⠀⠴⠶⢤⡄⠈⠛⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠉⠀⠀⠀⠀⢀⠀⠘⠟⢻⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿ ⠀⠀⠀⠢⠰⠿⠿⠿⣿⠿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢹⡖⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠙⣶⡄⠀⢻⣿⣷⣤⣄⣀⣀⣀⣀⣀⣴⣿⣿⡿ ⠀⠀⢀⣷⣶⣶⣿⣿⣿⣿⣿⣏⠀⠀⠀⢀⡀⠀⠀⢀⣼⠟⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⢀⠀⠀⠀⠀⠀⠈⣷⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁ ⠀⠀⠈⠛⠛⠛⠋⣉⣉⣿⣿⣿⣦⠀⠀⠠⠼⠳⠿⠛⠁⠀⠀⣠⣿⣷⣦⣶⣶⣮⣵⣦⣾⣟⡀⠀⠀⢻⣦⣀⣠⣀⣤⡾⠏⠀⠀⣼⣿⣿⣿⣿⣿⠿⠿⠟⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⢿⣿⠿⠿⠿⠿⢷⣶⣤⣤⣤⣠⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⣠⣉⣉⡉⣁⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⢿⣿⠿⠿⠿⢿⡿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠟⢻⡿⢻⡿⢉⣤⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⠶⠶⠶⠶⠦⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠾⠟⣿⣿⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢶⣤⣠⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠉⠀⠀⠸⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣀⠈⠙⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠈⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⢀⡿⠁⠀⠀⣰⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⠟⠋⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠐⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡇⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠉⠁⠉⠈⠉⠀⠀⠀⠀⠀⠀⣠⢤⣀⠀⠀⠀⠀⠀⠉⠿⠿⠁⡀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣄⠀⠀⠀ ⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣄⠤⠠⠐⢀⡀⠀⠀⠀⠀⠀⠋⠁⠉⠁⠀⠀⠀⠀⠀⠄⠀⠀⠀⢁⠀⠀⣼⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀ ⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠻⢶⣤⣴⡾⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⣤⠀⠜⣀⣴⠟⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⠀ ⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⣿⠃⠀⠀⢸⡟⠳⠶⠶⠶⢦⣶⣴⣶⣴⣶⣶⣿⠉⠀⠹⣷⣿⣿⣥⣄⡀⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⢿⣆⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠀⢀⣿⠟⠉⠉⠉⠛⣷⡄⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇ ⠘⢷⣄⡀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠃⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠿⣷⡀⠀⠀⣀⠀⠈⣿⡄⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⣀⣼⠏⠀ ⠀⠀⠉⠛⠷⠶⠶⠶⠶⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⣤⣴⠏⠀⠀⣽⡇⠀⠀⠀⠈⠛⠿⠶⠶⠶⠶⠿⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡾⠋⠀⠁⠀⠀⠀⠀⠀⢀⣾⠛⠉⠙⠓⠀⠀⢀⣴⠟⠛⠿⠾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠐⢶⣶⣶⣶⣶⣾⣿⡀⠀⠀⢶⡶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣀⣠⡿⠁⠀⠀⠀⠀⢹⣇⡀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀૮₍˶ •. • ⑅₎ა ♡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠛⠛⠛⠛⠳⠶⣤⣄⠈⠉⠙⠛⠳⢦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⢠⠞⢱⠀⠀⢠⠤⡍⠻⣦⡀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠟⠁⠀⢔⠑⢄⡀⠧⠔⠁⠀⠀⢸⠀⡇⠀⠈⢿⡄⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠃⡀⠀⠀⠀⠑⠄⠅⠀⠀⠀⠀⠀⠈⠒⠁⠀⠀⠀⠻⣆⣀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⡟⠑⠶⠃⢀⣴⣦⣄⠀⠀⠀⣠⡶⢶⣄⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢶⣄⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀ ⠀⢠⡟⠀⠀⠀⢰⡟⠁⠀⢻⣦⣤⣴⡟⠀⠀⠙⢷⡄⠀⠀⠸⢄⡈⠐⡄⠀⠀⠙⢷⡀⠀⠀⢻⡄⠀⣠⣦⣤ ⠀⣿⢡⣤⣄⣠⡟⠀⠀⠀⠘⠛⠛⠛⠀⠀⠀⠀⢈⣿⣦⣤⡄⠀⠈⠉⠀⠀⠀⠀⢸⡇⠀⠀⠘⣷⣰⡟⠻⣿ ⣸⡇⢨⣤⣤⣿⠃⠀⢸⡷⠀⣼⣷⡄⢸⣷⠀⠀⠸⠿⢿⣶⡄⠀⠀⠀⢠⠖⢢⠀⢠⡇⠀⠀⠀⣿⠿⣿⣿⠏ ⣿⢀⡀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠰⣅⡴⠁⠀⣸⠇⠀⠀⠀⢸⣧⡿⠃⠀ ⣿⠤⠸⠂⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⢸⡇⠀⠀⠀ ⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⠇⠀⠀⠀ ⣿⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⣀⠀⠸⣇⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⢻⡄⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⢠⡊⣡⠜⠃⠀⢹⡆⠀⠀⢠⡿⠀⠀⠀⠀ ⠘⣷⠀⠀⠀⠀⣽⠟⣿⣀⣀⣀⣀⣀⣴⠾⣖⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣼⠃⠀⠀⠀⠀ ⠀⢻⣖⢂⡆⠀⠙⠿⠋⠉⠉⠉⠉⠙⠿⡼⠏⠉⠀⠀⠀⠀⣖⠐⠢⢄⠀⠀⠀⠀⣸⡇⠀⣰⡏⠀⠀ ⠀⠀⠀ ⠀⠀⢻⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠊⠀⠀⢀⣴⠟⠀⣰⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣧⡀⠀⠀⠀⡎⠱⡄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡶⠾⠛⠁⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣦⣀⠀⠘⢆⡸⠀⠀⠀⢠⠋⣠⠃⠀⠀⣠⡾⠋⠀⠀⠀⠀⣠⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠳⢦⣤⣀⡀⠀⠀⠈⠉⠀⠀⢀⣴⠟⢀⣀⣤⣤⠶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠶⠶⠶⠾⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡤⠤⠴⠊⠀⠀ ⠀⠉⠉⠉⢩⠍⠉⠉⠻⠑⠆⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⠀⠀⠀⡤⣧⠀⠀ ⠀⠀⠀⠤⣿⣦⣠⣄⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⢤⣠⣖⡚⠻⠓⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⡯⠶⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⠛⢧⠀⠈⠁⠀⠀ ⠀⠀⠀⠀⠸⣷⣜⢆⢠⠇⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠙⣦⣧⡴⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠋⠁⣄⣤⡞⠙⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣄⣠⡶⢉⡉⠉⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⠔⠲⠒⠛⠻⡹⠉⠇⠀⠀⠀⢠⣿⠿⡄⠂⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢨⣿⣻⠀⠀⠹⡳⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠁⢻⣆⠤⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡀⣴⡿⠕⣿⡇⠀⠰⠁⢝⡯⠉⠹⢿⠛⠳⠶⣤⡀ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡁⠀⠀⣏⠆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣬⡿⡁⠀⢹⡵⠀⠀⠀⠈⠜⠀⠀⠀⠀⠀⠀⠈⣿ ⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠇⠃⠀⠀⢹⠄⣸⣿⣉⣭⣭⣭⣿⢿⣭⣭⣭⣭⣭⣽⣧⢐⢾⣯⠁⠀⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠈⢧⠀⠠⠀⠀⠀⠀⠀⠀⣀⣍⣟⠂⠀⠀⣀⣼⣿⣷⣿⣿⣿⣿⡫⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⡃⠀⠀⠨⢹⡚⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⢨⠜⣴⣤⣶⣿⣿⣻⣿⣿⣿⣿⠟⡩⢻⠃⠀⠙⣿⣿⣿⣿⣿⡿⣿⣿⣿⣧⣤⡀⠀⣧⠈⠄⠄⠀⠀⠀⠐⠠⡀⣨⡟⠀ ⠀⠀⢠⣟⣦⣤⣤⣴⣶⣿⣿⣾⣿⣿⣿⣿⢯⣿⣿⣿⣿⣫⠞⠀⣼⡇⠀⠀⠙⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣍⢇⡀⡀⠀⠀⠀⠀⢠⣴⠋⠀⠀ ⠀⠀⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣸⣿⣿⡿⡿⠁⠀⠀⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⢣⢹⣿⣿⣿⣹⣿⣿⣿⣿⣶⣿⣵⣶⣾⣿⠁⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠉⣿⣿⣿⡟⠙⠀⠀⠀⡇⠀⠀⠀⠀⠰⢻⣿⣿⣿⡉⢿⢿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⠁⢠⣿⣿⠏⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⡠⠈⡞⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⡿⣃⣤⣼⣿⣯⣤⡄⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⢀⣙⣿⣧⣤⣸⡸⣿⡇⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⣟⡟⢸⣿⡿⢋⣵⣾⣿⣿⣶⣅⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢟⣽⣿⣿⣮⣍⠻⣿⣇⠸⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⡂⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡻⢀⣾⣏⢢⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣧⢺⣿⣆⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣟⠇⣼⢷⠃⣸⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡎⠀⢿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡏⠀⣿⡌⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣧⡘⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣷⠀⣿⡅⠀⢿⣿⣿⣿⣿⣿⣿⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⡯⠁⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠻⣷⠀⠘⡏⠉⣻⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡇⠀⣿⣿⣿⣿⣿⡁⢀⣾⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠑⠠⠸⠿⣿⣿⣿⠟⠁⢀⣀⡤⣤⣤⢤⡤⢄⣤⣀⡀⠹⢿⣿⣿⣿⣿⡋⠀⠛⠋⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⣴⣯⣷⣫⠥⣄⣭⣿⢿⣭⡑⢦⣄⠉⠉⠁⠀⠀⠀⠀⡞⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣛⢐⢶⣿⣿⡿⢿⣿⣿⢿⣿⣷⡷⡠⡅⡽⢆⠀⠀⠀⠀⠀⠀⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⡣⣤⣴⣽⠟⢹⠛⣿⣿⣿⡿⠿⠻⣽⢿⣓⡉⣻⡆⠀⠀⠀⠀⢀⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣾⣿⠾⡖⠛⠛⠛⠢⠤⣠⣳⣋⣶⣲⣿⠃⠀⠀⠀⠀⣞⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠂⠚⠋⠁⠀⠉⠉⠉⠉⠁⠀⠀⠀⣠⣮⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⠤⣄⣀⠀⠀⠀⠀⠀⢀⣠⡴⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣯⣵⣷⡀⠀⠈⠉⠉⠛⠛⠋⠉⠀⠀⠸⣯⡙⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⠿⠋⠸⣾⠃⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⢡⣷⡏⠘⢿⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠒⠉⠀⠀⠀⠀⢿⠁⠀⠀⠀⠉⠒⠂⠀⠀⡀⡀⡠⢸⣹⠁⠀⠀⠙⠲⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢁⡇⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⠀⡼⡄⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡿⣿⣿⡇⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣿⢿⣿⣿⣿⣷⡐⡀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢍⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣷⠏⠀⠙⣿⣿⣿⣿⣜⣄⢡⡀⠀⠀⢲⢤⡀⠀⠀⠀⠀⠀⠡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡏⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣟⡻⢏⠻⢿⣿⣿⣿⣿⢿⡟⠀⡄⠀⠛⠛⢿⣿⣿⣮⢂⣣⠀⠀⠙⢖⣓⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣧⡓⠤⣺⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣇⣹⣿⡄⠈⠙⠻⢿⣿⣿⠿⡿⣿⣿⢁⣴⠀⡀⠲⡴⡀⠹⢿⡿⣷⣮⡀⠀⣰⣏⠈⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⡋⠉⣿⣻⣯⢻⣿⣟⠿⢠⣦⣜⣿⣿⣿⣷⠀⠀⠀⠀⠀⠉⢙⣓⡶⠿⠿⢿⠀⡸⣴⡇⢹⡀⢻⡀⠀⠉⠳⠄⣈⠈⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡏⣿⣿⡖⢹⣿⣿⣾⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣧⠀⢀⣠⡶⠛⠉⠀⠀⢀⣄⣸⠀⠓⡟⡇⢸⢣⠈⡟⢄⠀⠀⠀⣬⡑⠢⢄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠘⣿⣧⣿⣿⢿⣦⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡴⠛⠁⠀⢀⣄⣴⡾⡿⠛⢻⠀⢠⢃⠃⢈⠘⢧⠘⡜⣷⣄⣸⠀⠻⢵⢄⡈⠢⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⣽⣿⣿⣷⣽⣿⣿⡿⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢒⣽⡟⢋⠲⡬⠆⠸⢀⠾⢾⣀⣈⠀⡇⢇⢡⢩⡇⠙⡄⠀⠀⠀⠉⠢⢄⠑⠦ ⠀⠀⠀⠀⠀⠀⢠⠟⠉⠙⢿⣿⣟⢿⣿⡇⣠⠤⠛⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⡀⠾⡁⣄⠓⢃⡆⣇⡖⢨⣄⠀⠀⠉⠑⠓⠼⣇⣻⣾⠀⠈⢦⡀⠀⠀⠀⠀⠉⠂ ⠀⠀⠀⠀⠀⢠⡿⠘⠦⣠⣾⢿⢿⣆⢷⣿⢀⣀⣀⣀⣙⣿⣿⣮⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⠀⠉⠘⠓⢋⠉⠹⡇⡎⣿⡷⠤⣀⠀⠀⠀⠀⠈⠉⠒⠤⢀⡙⠦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠳⡈⢯⠹⣮⣿⡾⢿⠟⡿⠛⠻⣍⣻⠛⠿⠿⣿⣿⣿⡏⠁⠀⠻⣿⣧⠀⠀⠀⠈⠁⠀⡷⠀⣿⡅⠀⠈⢱⡦⣤⡀⠀⠀⠀⠀⠀⠈⠙⠚⠶⣄⠀⠀ ⠀⠀⠀⢠⢾⠑⣟⣳⡖⢶⣄⣱⡌⣯⣿⣿⣧⡘⢆⢧⡻⠇⣸⢰⠀⠀⠀⠈⠻⢦⣹⣧⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⣿⣮⠶⣠⣿⣿⣇⢸⣱⠢⣄⡀⠀⠀⠀⠀⠀⠈⠑⠀ ⠀⠀⠀⡇⣼⠀⡿⣿⣆⠈⣷⣿⣿⣿⣿⣿⣿⣿⠿⠶⢽⣻⢿⡏⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠀⠸⡜⢧⡀⠀⠀⠀⢀⡾⢱⣿⠀⣿⣿⣿⣿⡀⣇⠀⢸⠈⠑⠢⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⣿⠙⡄⢸⠘⡏⠀⢹⣿⣿⣿⣿⣿⣿⣿⣷⡒⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡄⠀⢹⠀⢳⠀⠀⠈⠁⣠⣟⣽⠀⣿⠏⣿⣽⠃⠈⢇⢸⠀⠀⠐⡟⣢⠤⠄⠉⠉ ⠀⠀⠀⡇⠀⡇⠈⠀⠘⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⡆⠈⠁⠀⠀⣰⣿⣿⣿⠀⡿⢠⡟⡿⡆⠀⠈⢿⠀⠀⠀⠉⠚⠧⣀⡀⠀ ⠀⠀⣼⡇⠀⢀⠀⡇⠀⠘⡄⢸⣿⣿⣿⣯⡛⠿⢿⣿⣿⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⡇⠀⠀⠠⠞⢋⣾⡟⢹⠀⠓⠜⠀⡇⠀⠀⠀⠈⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡞⣴⣇⢀⡼⠂⠓⡄⠀⠸⡄⢿⣿⣿⣿⣿⣷⣶⡒⠬⣉⡋⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣼⣷⠇⠀⠀⠀⢠⠎⣿⠀⢸⠀⢠⠀⢠⢣⠀⠀⠀⡰⠙⣄⠀⠀⠀⠀⠀⠀⠀ ⢸⠋⠁⠀⢹⠧⣀⣠⠇⠀⠀⠰⡸⡿⣿⡟⣿⡻⣿⣟⣶⢮⣝⣢⣝⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⣰⡃⠀⢸⠀⠈⡆⢸⠀⠘⣼⢤⣴⠋⡧⠒⠋⠀⠀⠀⠀⠀⠀⠀ ⠈⠑⡝⠒⠁⠀⡏⠉⠀⠀⠀⠀⠘⣿⠛⠛⠙⠋⠉⠛⠛⠺⠿⠥⣿⣮⠮⠰⡂⠄⣀⡀⠀⠀⠀⠀⠀⠀⢀⡜⢹⢱⡀⠈⡆⢀⡇⠈⣇⠀⠁⢸⣿⡄⢹⡆⠀⠀⠀⢀⣀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⣇⠀⡇⠀⠀⠀⠀⠸⡓⢤⣀⡀⠀⣀⠀⠀⠀⠀⠀⠈⡇⠀⠃⠀⠱⡈⠉⠒⠢⠤⠤⠴⠋⠀⡈⠀⠱⠀⢷⠸⠀⠀⠘⡄⠀⠈⣿⣧⠈⣧⠔⠂⠉⠁⠀⠀⠀⠀ ⠀⠀⢱⠀⠀⠀⢸⠀⢣⠀⠀⠀⠀⠀⢧⠈⢇⢻⣉⡩⣷⣋⣳⡴⠆⠀⠀⠀⠀⠀⢀⠘⣴⣤⣀⠀⠀⠀⠀⣰⠃⠀⠀⢳⠘⡇⠀⠀⠀⢻⡀⠀⢹⣿⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠀⢸⠀⠀⠀⠀⠀⠘⠶⠋⠋⠀⠉⠉⠀⠉⠀⠀⠀⠀⠀⠀⠀⣸⠀⠘⣿⡬⠷⠺⢶⡖⡡⡀⠀⠀⠀⣼⠁⠀⠀⢀⡾⣷⠀⠘⣿⡇⠈⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⡄⠈⡀⠀⠀⠀⠀⠀⣀⢀⡀⠀⣀⣀⣀⣤⣤⣶⢀⠔⢰⠃⡰⠁⢶⣤⠆⠀⠀⠀⠀⠀⠑⢄⠀⠀⢰⣯⣤⣴⡞⢹⠀⠘⡇⠀⢸⢀⡤⠤⠓⠒⠒⠒⠂⠀⠀ ⠀⢤⡀⠘⠄⠀⠀⢇⠀⡇⠀⠀⢀⡠⠊⠙⡏⣿⣿⠹⡄⠀⣿⠞⣡⠋⠲⠃⣼⢁⡀⠀⠈⠀⠀⠏⣳⠀⠀⠀⠀⠙⠦⣸⣷⡈⣿⡇⠈⡶⡒⠃⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠸⠀⢹⢀⠔⠋⠀⠀⠀⢣⡽⠛⠓⠊⣉⠵⣮⣏⣀⡤⠞⠈⡇⠙⣄⠀⠀⠀⡼⣲⠷⣦⣄⠀⢀⡴⣼⡿⣧⢹⣷⠀⣷⣧⠀⠈⢿⠢⡤⠤⢤⡤⠤⠤⠀⠀⠤ ⠀⠘⠀⠀⠀⠀⠀⡇⠀⠀⢃⠀⠀⠀⠀⠀⢰⣶⢻⣿⠁⠀⠀⢹⣿⠀⣷⠀⠀⠀⠀⢸⠀⠀⠸⣰⣡⣤⡤⣍⠻⠏⣴⡿⢡⠟⣿⣾⠋⠹⡼⡇⠀⠈⠆⠃⠀⠀⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠖⡇⠀⠀⠈⢃⠀⠀⠀⠀⠀⣿⠈⣿⡀⠀⠀⢸⣿⡄⢹⡀⠀⠀⢀⣟⢦⡠⢵⣿⡛⣿⡇⢨⣷⢄⡿⣡⣇⢠⡰⡌⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀ ⠀⠀⠤⠚⠁⠀⠀⣇⣄⠀⠀⠈⢣⠀⠀⠀⠀⠃⠀⣯⡇⠀⠀⠘⣿⣇⠸⡇⠀⠰⢿⠀⠹⡙⣾⡿⣿⢯⠁⢉⡆⢀⠷⣹⣾⠀⢰⠃⢀⣠⠔⠙⣧⠀⡄⠀⠀⢀⡠⠛⢆⠀⠀⠀ ⠀⠀⢇⠀⠀⠀⠀⣴⠜⡓⠲⡄⠚⠀⠀⠀⠀⢸⠀⣿⣇⠀⠀⠀⣿⣿⠀⡇⠀⠀⡏⠀⠀⡿⣿⡿⢿⣿⣀⡸⣃⡞⠀⣿⠋⠑⢞⠉⢻⠀⣇⡀⣸⢧⠧⠒⢺⡉⣇⣀⣸⡄⠀⠀ ⠠⣄⣈⡄⠀⠀⠀⠀⠀⣇⠀⠇⠀⠀⠀⠀⠀⢸⠀⣿⡏⠀⠀⠀⢻⣿⡇⣷⠀⢠⠁⠀⡠⠃⠋⠛⠀⠹⡿⠒⢼⠀⠀⡏⠀⠀⠈⠳⡀⡄⢸⢀⡘⣾⣆⠀⠀⡇⢰⡘⣧⠙⡄⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⢸⡀⢸⠀⠀⠀⠀⠀⢸⠀⢿⣿⠀⠀⠀⢸⣿⢳⢸⠀⢸⠀⣰⠁⠀⠀⠀⠣⣈⢻⡀⢸⠀⣾⠋⠀⠀⠀⠀⠘⣇⠈⡿⠁⠘⣟⣆⠀⢠⠘⣷⠘⣧⠹⡄ ⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⡇⠘⢣⠀⠀⠀⠀⢸⠀⣸⣹⢸⠀⠀⢸⣾⠘⣿⠀⡆⢠⠃⠀⠀⠀⠀⠀⠈⢧⠣⠾⢠⣟⠀⠀⠀⢀⣤⣶⣿⠀⠃⠀⠀⠘⣿⡆⠘⡆⢻⢣⠹⣧⠱ ⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠁⠀⠀⠱⡄⠀⠀⠸⠀⡿⡿⢸⠀⠀⢸⣿⣀⣿⣆⢇⠏⠀⠀⠀⠀⠀⠀⢀⣨⡇⠀⢸⠛⢦⣄⣴⣿⣿⣿⣿⡄⢸⠀⠀⠀⠘⣿⣀⠃⠸⢧⣇⠙⡆
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