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○ く|)へ 〉 ￣￣┗┓ ￣￣￣┗┓ ￣￣￣￣┗┓ ￣￣￣￣￣┗┓

⡑⠌⢂⠐⠀⠀⠀⠀⠀⠀⡀⢄⠢⢄⠡⣊⠌⡉⠿⢶⣧⠈⢻⣶⡐⢂⠆⡡⢂⠈⠀⠀⠀⠀⠀⢀⡴⣻⠖⠋⠉⠛⢿⣦⠀⠀⠀⠀⠀⢀⡤⢋⣇⣴⠛⠁⡠⠐⣄⢊⠴⡁⠦⡑⢂ ⡐⢈⠀⠀⠀⠀⡀⠄⠐⢠⠐⡌⢒⠌⡒⢄⢊⠱⡈⢆⠹⣧⢢⠈⢻⣧⠘⠀⡀⠀⠀⠀⠀⠀⢠⣾⠟⢡⢦⡄⠀⠀⢀⣿⣷⠀⠀⠀⣠⣾⠁⣼⠞⡁⡐⢢⢁⠣⠔⡊⠴⢡⠒⡁⠂ ⠀⠀⠀⠀⠀⡀⢀⠀⠎⡄⢣⠘⡄⢎⡘⢄⠃⢆⠱⡈⢆⠹⣿⣆⠀⡟⠳⣆⠀⠀⠀⠀⠀⣰⢻⢋⣄⡿⠋⠀⠀⢀⡾⣽⠻⠀⣠⡞⢡⣯⡾⠃⢊⠔⡡⢂⠎⡘⠔⡉⠆⠁⠠⠀⠁ ⠀⠀⠀⠠⠐⢀⠢⢌⠱⡈⢆⠱⡈⢆⡘⠤⡉⢆⠱⡐⢌⠒⡄⠛⢿⡼⢀⠹⣦⡄⠀⠀⣰⣿⢃⢋⡟⠙⠂⠀⢀⡾⡵⠃⢀⡴⢋⣿⡞⠋⡀⠜⢠⠊⡔⢡⠊⡔⠩⠀⠈⠄⠁⠀⠀ ⠀⠀⡐⢠⠈⡄⠣⢌⠢⡑⢌⠢⡑⢢⠘⠤⡑⢌⠒⡈⠆⠁⡀⠀⠀⠙⢧⣁⣯⠙⣆⠀⣿⠃⢸⣿⡴⠀⠀⢀⡼⣰⢃⠔⣻⢠⣾⢟⠁⢢⠘⢌⢂⠱⡈⢆⠡⠐⠁⠀⠀⠀⠀⠀⠀ ⢀⠰⣀⠣⡘⠰⡑⢌⠢⡑⢌⠢⡑⢂⠍⢢⡑⢌⠂⠡⠀⠁⠀⠀⠀⠀⠀⠙⣿⣦⣿⣶⡇⠀⠀⠁⠀⠀⠀⡼⢱⢳⠋⢠⡿⠟⡁⢠⠊⠤⡉⢢⠈⠆⡁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⠒⡄⠣⢌⠱⡈⢆⠱⡈⢆⠱⡈⠜⣈⠆⡘⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣻⣿⣿⣆⠀⠀⠀⠀⢰⢇⡟⣸⣷⡿⢁⠣⢄⠃⡜⢠⠑⢢⠉⠀⠄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⡌⠘⣤⠉⡆⢱⠈⡆⢱⠈⡆⢱⠈⡆⢡⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡟⣾⣿⣿⣷⣶⣦⢠⡟⠋⣼⡟⠁⢰⠈⠒⡌⢰⠐⠂⡌⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂ ⡡⠓⠤⣉⠔⡡⢊⠔⡡⢊⠔⡡⢊⠔⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣽⣷⣻⣿⣿⣿⣿⣿⡶⣿⠛⢁⠒⠤⣉⠒⠌⡄⠃⠐⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠌ ⢆⡙⡐⢢⠘⡄⢣⠘⡄⢣⠘⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠾⡛⠛⠛⠛⡛⠛⠛⠻⠿⠿⣾⣟⣢⢉⠒⢄⠊⠔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⢄⠣⠌ ⠢⢌⡑⢢⠑⡌⢢⠑⡌⠄⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠛⠙⠃⢀⣤⣅⣀⠀⣀⣠⣶⣄⣀⠀⠑⠀⠉⠙⡻⢷⣮⣌⡀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⢄⠱⡈⢆⠱ ⢣⠘⡄⢣⠘⡄⢣⠘⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠃⠀⣤⠴⠶⠶⠤⣄⡈⠉⢉⣀⣀⣤⣍⣀⡀⠀⠀⠠⡍⠀⠈⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠡⢀⠜⡠⢆⠱⡈⠆ ⢆⢩⡐⢡⠊⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠉⠁⠀⠀⠈⠙⠳⠄⠀⠀⠀⠀⠘⠊⠻⣷⡄⠀⠀⠀⠀⠠⠐⡀⢆⠡⣂⠱⡈⠔⡁⠎ ⢂⠆⡑⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⣠⠾⠛⠛⠛⣦⣀⡴⠶⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⡀⠀⢀⠂⠤⢑⡈⢆⠱⣀⠣⠘⠤⡑⠌ ⠌⠂⢁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⣼⠏⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡄⢂⠰⡁⠆⢌⢂⠒⡄⢃⠍⡰⢀⠃ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⠀⠀⢀⣼⣧⠀⠀⠀⠀⣠⣏⡀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⠠⡑⢨⠘⡠⠊⡔⡈⢆⡘⠄⡃⠌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠘⣷⠾⠳⣶⣶⠾⣿⡭⢥⣤⣄⣀⣀⡠⢾⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⣇⢢⠑⣂⠱⣀⠣⡐⠌⡄⠒⡌⠰⡁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡛⠷⣦⣾⠀⠀⠿⠟⠀⣿⠀⠀⢸⣿⡏⠉⠙⣻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⣰⠙⢷⣆⠰⣁⠢⡑⢌⠒⢌⠱⢈⠱⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⡿⢀⣨⡾⢻⣧⢀⣠⡴⠶⢿⡀⠀⠀⠉⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⢛⡉⢿⣧⠈⠻⣶⣀⠣⠌⠤⢉⠢⡘⢠⠃⠔ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢰⣧⣿⠟⢠⣣⡿⠟⠁⠀⠀⠀⣷⣄⣀⢀⣀⡴⠋⠀⠀⣸⣦⣤⢶⠶⠟⢫⠑⡐⢂⠜⣈⠻⣿⣆⠈⡿⣦⡍⢢⠁⢆⡑⢂⡉⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⢸⣧⣿⠛⡡⢬⣿⠟⠁⠀⠀⠀⠀⣸⠃⠀⠉⠉⠉⠀⠀⠀⠀⣿⣠⣴⣦⣾⣎⠄⢣⠘⡄⢊⠰⡐⠌⢿⣧⢲⠈⣿⣦⠉⡔⡈⢂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⡇⣠⣿⠟⡠⢃⢴⣿⠏⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⣤⡴⠟⠋⢩⣄⠈⢻⡏⢄⢃⡘⠄⢣⠘⢌⠢⠙⣿⣧⢽⠙⣷⡀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠋⢘⣷⠿⢁⠎⡰⢡⣮⡟⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⠶⠛⠻⣡⡿⠏⡐⢢⠘⡌⢢⠉⠢⢌⠱⡀⠹⢿⣄⢸⠹⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⣰⡏⣰⢸⡿⢇⠸⡀⠎⡰⢱⣾⡇⠀⠀⠀⠀⠀⠀⢸⡷⠶⠶⠶⠾⠿⠏⠉⠁⠀⠀⣀⣰⣿⠏⠸⣀⠱⢆⠱⡈⠆⡁⢇⡈⢆⠁⠇⡀⢿⡎⡇⠸⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠖⢀⣶⠋⢠⣿⠿⡁⢎⠰⢁⠊⠀⠐⢹⡇⠀⠀⠀⠀⠀⠀⢸⣇⣀⣀⣀⣀⣠⣤⣤⠶⢶⠻⠟⣋⠰⣈⠱⡀⠎⢄⠣⡘⠤⠑⠢⢌⠠⠉⠀⠀⠀⠙⢦⡄⡘⠳⡄ ⠀⠀⠀⠀⠀⢠⣴⠋⣸⣴⡿⢃⠒⢌⢂⠁⠂⢀⠀⠀⠂⢿⣄⠀⠀⠀⠀⢀⣾⠋⣯⠉⠈⣿⡽⠂⡔⡈⠆⡱⠘⡄⢣⠐⣂⠱⡈⢆⠱⣀⠣⢉⠒⠀⠂⠈⠀⠀⠀⠀⠀⠙⢷⡂⢘ ⠀⠀⠀⡀⣸⠋⣧⣰⣾⠏⠰⡁⠊⠄⠂⠈⠀⠀⠀⠀⠀⠀⠙⠳⠦⣤⠶⠟⢋⠰⣿⠀⢰⡧⢃⠱⢠⠑⡌⠰⢡⠘⡄⠱⡀⠆⡑⢂⠒⠄⠃⡀⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧ ⠀⣀⢄⡐⣡⣞⣿⣋⢤⣈⡑⣄⣉⣀⣀⣀⡀⣀⠀⡀⢀⡀⣀⣀⣀⣀⣠⣘⣤⣒⣿⠀⣾⣷⣈⣆⣡⣊⣔⣑⣢⡑⣌⡱⣈⣆⣱⣈⡤⣉⣀⣀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⣿⣽⣟⣿⣻⣿⣻⣟⡿⣯⢿⣽⢾⡽⣯⢿⣽⣻⡽⣯⢿⡽⣯⢷⣟⣿⠟⠹⣿⡋⢉⣨⣿⣿⣞⣷⣻⢾⡿⣽⣾⣳⣿⣻⣞⡿⣞⣷⣻⡾⣽⢯⡿⣽⢯⣿⡽⣯⣟⡿⣟⣿⣿ ⣿⡷⣿⣞⣯⡿⣷⣻⣽⣯⣿⣟⣿⡾⣟⣿⣽⡿⣞⣯⣿⣽⣯⣿⡽⣿⢾⣿⢰⠀⠸⣿⡛⠹⣿⣷⡿⣾⣟⣿⣽⡿⣞⣿⡾⣷⣻⣟⣿⣽⡷⣿⣻⣟⣿⣻⣿⣳⣿⣻⣽⡿⣟⣿⣾ ⣿⣟⣷⡿⣯⣿⢿⣽⡷⣟⣷⡿⣯⣿⢿⣽⣾⢿⣟⣿⣳⣿⣾⣟⣿⡿⣿⣏⢾⠀⣷⡜⠁⡐⢿⣿⣻⣽⣾⢯⣷⣿⢿⣯⣿⢿⣽⣯⣿⢾⡿⣿⣽⡿⣽⣷⢿⣯⣷⡿⣯⣿⢿⣻⣾ ⣿⣯⣿⣽⣿⣽⡿⣯⣿⡿⣟⣿⣿⣻⣿⢯⣿⣿⣻⣯⣿⣷⣿⣻⣿⢿⣿⡧⢘⠀⠸⣷⠀⠐⠸⣿⣿⣟⣾⣿⢿⣾⡿⣟⣾⣿⣯⣿⣾⡿⣿⣟⣷⣿⡿⣯⣿⣟⣷⣿⣿⣻⣿⢿⣻ ⣿⣿⣽⣿⣾⡿⣿⣿⣟⣿⣿⣿⣻⣿⢿⣿⣿⣾⣿⣟⣷⣿⣻⣿⣻⣿⣿⡧⢈⠄⡁⢻⡇⡌⢀⢻⣿⣿⣻⣯⣿⡿⣿⡿⣟⣷⣿⣯⣷⣿⣿⣻⣯⣷⣿⣿⣟⣿⣿⣽⡿⣟⣿⣿⣿ ⣿⣿⣟⣯⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣿⣯⣿⣷⣈⡐⣀⣺⣿⠁⠂⠄⢻⣿⣿⣟⣿⣿⢿⣿⡿⣿⣳⣿⣯⣷⣿⣿⣻⣿⣽⣾⣿⢿⣾⣟⣿⣿⣿⣯⣿ ⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⠀⠌⠰⠈⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿ ⣿⠿⣿⠿⣟⡿⣿⣻⠿⣟⡿⣿⢿⣻⢿⣟⣿⣻⣟⣿⣻⣟⡿⣟⣿⣻⣟⡿⣿⡇⠀⢿⡠⢉⠔⠡⡐⢂⠹⣿⣟⣯⣟⢿⣽⣻⡽⣯⢿⣽⣻⢟⣿⣻⣟⣿⣻⢟⡿⣽⡻⣟⢯⣟⢿ ⣧⠿⣜⣻⡼⣳⢧⣏⠿⣜⣳⡽⣺⣭⡟⣾⡜⡷⣞⣳⣟⡾⣽⣻⣞⡷⣏⣿⣹⣷⠀⢸⡇⠢⠌⡁⢆⠡⢂⡉⠻⣷⣿⣻⣞⣷⣻⣽⣻⢾⣽⣻⣞⣷⣻⢾⣭⢿⣹⡗⣯⡽⣞⡞⣯ ⣯⣻⢭⣳⣝⡧⣟⢾⡹⣏⠾⣵⣛⢶⡻⣵⢫⡽⣭⢷⣺⣝⣳⢷⣺⡽⣹⡖⣯⣿⠀⠈⣿⢡⠘⡰⢈⠆⡡⢌⠡⣐⣹⣿⣿⣮⣷⣭⣷⣻⣞⣷⣻⣼⢯⣷⣫⣏⡷⣽⣣⣟⣼⡹⣧ ⣿⠿⡿⢿⠿⡿⢿⠿⡿⢿⠿⣧⢿⡿⣿⠿⣿⢿⡿⣿⢿⢿⡿⣿⢿⡿⣿⢿⡿⣿⠀⠀⢿⡇⠸⡀⢇⠸⢠⢘⣤⡿⠛⠿⠻⠟⠿⠻⠟⠿⠻⠿⠿⣿⣿⡿⠿⣿⣿⣿⣧⣿⣿⣿⣿ ⣾⢳⡟⣿⢾⣽⣻⢷⣻⢯⣟⣾⣳⢾⡶⣟⡾⣶⣳⡾⣞⣶⣳⣞⣶⣳⣞⡶⣳⢿⡇⠀⠸⣷⠡⡘⢄⡃⣦⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣧⠀⠀⠈⠛⣷⣧⣞⡴⣮ ⣭⣳⣛⢾⡹⣎⢷⣫⢞⣻⢞⡵⣫⢿⣹⢯⣽⣳⣭⢻⡝⣧⣛⣮⢗⡯⣞⡽⣳⢿⡇⠀⠀⢿⡢⣑⠢⣽⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠘⣿⡾⣽⣳ ⣷⡳⢯⣻⢽⣫⣟⡞⣯⣟⡾⣽⢯⡿⣽⣻⢾⣵⡾⣟⣾⣳⢿⣼⣻⡼⣧⢿⣭⢿⣷⠀⠀⢸⣷⢠⣻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⣿⣟⣧⣟ ⣷⡿⣯⣟⣾⣵⡾⣽⣳⣾⣽⣻⣞⣷⣷⣻⣾⣳⣟⣿⣾⣽⣿⣞⣷⣻⣞⣿⣞⣯⣿⠀⠀⠈⢻⣧⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⢀⣼⣿⣻⣎⡿ ⡿⢿⠿⡿⣟⠿⡿⢿⠿⣟⠿⡿⢿⡟⡿⢿⣻⠿⣿⢻⡟⣟⡻⣟⠿⣿⣿⠿⠛⠻⠿⢷⡄⠀⠘⣿⢻⣿⣿⣷⣦⣄⣀⣀⣤⠀⠀⠀⢀⣀⣄⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⣟⢿⡻⢿ ⣟⢯⡟⣷⢫⡿⣹⢯⡟⣾⢻⡽⣯⠿⣽⣻⢯⣟⡿⣻⣽⡻⣽⢯⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠷⠟⠛⠛⠛⣉⣉⣭⣥⠶⢾⣛⣯⣽⣿⣿⡿⢶⣿⣷⣾⣿⢻⣭⣟⣮⢷⣹⣳ ⣿⢾⣽⣯⣷⣻⢷⣻⢾⣳⢯⣷⡻⣟⡷⣟⡿⣞⣿⣳⢷⣻⢷⣻⣞⣿⣷⣤⣀⠀⠀⢀⣤⣴⠾⢋⣤⡴⠶⠾⣛⣫⣭⣶⣶⣿⡿⢿⣛⣿⣭⣶⣿⣿⢿⡽⣾⣱⣟⡾⣼⣭⢯⣷⡽

walk🚶, time🕚, sure👍

⠀⠀⠀⢀⡀⡀⠀⠀⢀⠤⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡖⣯⡿⣛⣿⡂⣷⢋⡭⣿⡀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⣅⡿⡡⠂⠀⢱⣿⠛⡥⠈⡸⣦⣿⠯⣤⡇⠀⡀⣄⠀⠀⠀ ⠀⠀⢇⣇⠁⡇⠀⡿⡀⢯⡸⠀⡜⡏⠀⠀⢻⠱⡴⡻⢻⣆⠀ ⠀⠀⢸⠯⠍⠒⠁⠙⢳⠮⣋⠀⢣⡀⠀⡼⣿⠨⠇⠀⡧⠇⠀ ⠀⢀⣿⢿⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠁⢫⠏⠁⡘⠛⢻⠏⠃ ⠰⠃⠮⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠆⡤⠆⠁⡙⡆ ⠹⡀⡟⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠍⠈⠐⣇ ⠈⡐⣗⠕⣁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠨⠇ ⠀⠈⢛⡇⡈⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁ ⠀⠀⠀⠭⡧⠫⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠁⡎⠂ ⠀⠀⠀⢘⠻⡖⢳⠆⢘⡆⡀⠀⠀⠀⠀⠀⠀⠀⠃⢸⣫⠏⠀ ⠀⠀⠀⢄⡕⠫⠘⠁⠐⠈⣀⠀⠀⠀⠀⠰⡾⡤⠀⠷⠁⠀⠀ ⠀⠀⠀⡝⠂⠅⠂⠈⠀⠁⠀⠀⠀⠀⠀⠀⡼⠁⡸⠃⠀⠀⠀ ⠀⠀⠀⢛⡅⠅⠀⢠⠀⠀⠀⠀⠀⠀⠀⠸⠁⣄⠇⠀⠀⠀⠀ ⠀⠀⠀⣥⣃⠅⠀⠀⠀⠀⠀⠀⠀⢐⡐⠁⡄⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠩⣛⠥⠀⠀⠀⠀⠀⠀⠀⠀⠜⠍⡼⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠛⠞⣓⠤⡒⠃⠤⠼⢀⢋⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠓⠄⡂⡄⣈⡛⠱⢛⠟⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⡆⠀⠀⠀⣿⡿⠦⣦⣤⠴⠶⠚⠛⠛⠛⠛⠿⠿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⣿⣿⡆⠈⢁⣤⠶⡦⠀⠀⠀⠀⣰⠇⡴⣯⡙⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⢠⣿⣿⡇⢐⠀⢸⣿⣿⠀⠀⠀⠀⠀ ⣧⠀⠀⠀⣿⣷⠀⠐⡟⠓⣻⣶⣶⣶⣾⣷⣿⢴⡶⠛⠁⢀⣿⡀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⡀⠀⠸⣿⣿⣧⠀⠀⠀⠀⢸⣿⣿⠁⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⢸⣿⡄⠀⠙⠋⠉⠉⠛⡋⠛⠋⠉⠙⠃⣠⠴⠿⠿⠿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣷⣶⣿⣿⣿⡀⠀⢻⣿⣿⣷⡀⠀⢀⣿⣿⡏⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀ ⣿⡆⠀⠀⢸⣿⣿⡿⠶⢦⣴⡶⡶⢤⣿⢠⡿⢀⣀⣀⣤⣴⡄⣦⡀⠈⠙⢿⣍⢁⣦⠠⠀⠈⠙⠻⣿⣿⣿⣿⢿⣿⣷⣄⠀⠹⣿⣿⣿⣦⣿⣿⡿⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀ ⣿⣷⠀⢀⣠⡿⠃⠀⠀⢀⣾⣿⣿⣿⣿⣿⠇⢸⣿⠻⢿⠛⢿⡟⢀⠀⠀⠀⠻⣶⣤⣤⣄⣀⠀⠀⠈⣿⣿⣿⢹⠻⣿⣿⣷⣦⣬⣿⣿⣿⣿⣿⣤⣄⣀⠀⠀⠀⠸⣿⣿⠀⢀⣀⣠ ⣿⣿⡇⢀⡟⠀⠀⢠⢤⣾⠋⠀⠀⠀⠀⠀⢠⠟⠁⢠⣿⣀⣼⣛⣼⣦⣿⣀⠀⢹⡟⠛⠛⠿⣿⣦⣠⣿⣿⣿⣿⠀⠈⠙⡛⠿⠿⠟⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿ ⢸⣿⣿⢸⡇⠀⠀⣿⣿⣿⠁⢸⣷⣴⣿⣿⣷⣇⣼⣿⣿⣿⡿⠿⠿⣿⠏⠉⠀⢸⣷⣿⣷⣦⣌⣿⣿⣿⠿⠟⠛⠛⠛⠛⢻⣟⠓⠶⢦⣄⡀⠀⠀⠀⠉⠉⣹⡍⠉⠉⢻⣿⣧⡀⠀ ⠀⣿⣿⣿⣷⡀⠀⠉⠈⠁⠀⠈⠉⣩⣾⣉⢀⣭⠀⣽⢄⣿⠁⠀⠀⠀⠀⠀⢀⣾⣯⣤⣽⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣤⡀⣸⠟⢶⣄⡀⣀⣼⠟⠀⠀⠀⠀⠻⣿⣿⣦ ⠀⠸⣿⣿⡎⠳⣄⡀⠀⠀⠀⠀⠶⣿⢤⡟⣿⠗⢢⡏⢹⠁⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠼⠟⠛⠒⠒⠿⢿⣏⠁⠀⠀⠀⠀⠀⠀⠈⠛⢿ ⠀⠀⢹⣿⣿⣦⡈⣹⣶⣤⣄⡀⠀⠃⠘⠁⠙⠃⠘⠀⠛⣀⣄⠀⠐⣿⣋⣀⣠⣤⣤⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡿⠋⠉⠙⠛⢛⣻⣿⣿⠿⠿⠟⠛⠛⢦⣌⣳⢦⡀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⠿⠿⠟⢉⣠⡤⠶⠞⠛⠉⠉⠀⠀⠀⠀⠀⣀⣀⣠⣤⠬⠭⠶⠶⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠁⠀⠀⠀⢀⣀⡤⠤⠖⠒⠛⠋⠉⠉⠀⠀⠀⠀⠀⢠⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠐⠋⠉⠀⠀⣀⣠⡤⠤⠶⠖⠒⠶⠤⢤⣤⣤⣾⣿⣿⣿⣆⣀⣠⠤⠤⠤⣤⣄⡀⠀⠈⠻⢶⣤⣤⣀⣀⣀⣀⣤⣤⣶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⢀⣠⠴⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠈⠉⠛⠶⣄⠀⠈⠉⠉⢉⣉⣩⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⣟⠀⣠⡾⠋⠁⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⣿⡟⠉⠀⠀⠀⠀⢠⡖⠛⢳⠀⠀⠀⠀⠀⠈⠻⢶⣶⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠈⠣⣀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⣀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⠿⠛⠛⠏⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣿⡏⠛⠛⠙⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⣶⣿⣿⣼⣿⢿⣿⣿⣿⣿⣶⣤⣄⣀⣀⠀⠀⠀⠀⣀⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣤⣤⣤⣽⣿⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡟⢻⣿⣿⣄⠠⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⢌⣩⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠒⣻⣿⠿⢿⣿⣶⣾⣤⣄⣀⣀⣠⣶⣾⣿⣿⣿⣇⡀⠙⢿⣿⣿⣶⣤⣁⡀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⣀⣶⣿⢿⠛⣉⣭⣿⣿⣿⣿⣭⣉⣉⠉⠉⠉ ⡄⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠉⠉⠛⠻⠿⢿⣿⣿⣿⠿⠿⠛⢿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣶⣶⣄⣀⣀⣀⣀⣀⠀⣀⣰⣦⣶⣿⣿⣟⡿⠷⢾⣿⣏⣀⣀⣈⣉⠑⠠⠤⠿⠠⣌ ⣿⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣀⣀⣀⣀⣠⣴⣾⠟⠁⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⢻⣿⣿⠛⠛⠻⠿⠿⠿⠿⠿⠛⠛⠉⠛⣿⣿⡟⠁⠻⠿⠿⠿⢿⣿⣿⣿⣿⢿⣷⡿⠿⠿⠋ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠟⠿⣿⣿⣿⣿⣏⠀⠀⠀⢰⣿⡀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣦⣤⣀⣀⣀⣀⣀⣀⣀⣠⣾⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠀⠀⠀⠒⠆⠤⠞⢿⣦⣤⣴⣿⣿⣷⣤⣤⣤⣤⣾⠟⣡⡿⠿⠛⠛⠛⠛⠛⣻⣿⣿⠿⠿⠿⠭⠀⢉⣲⣄⠀⡀⠠⢐⣀⡀⢀⠀⠀⠀⠀⣤⠀⠐⠀ ⠿⠷⠶⠶⡴⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠈⠿⠿⣭⣽⣿⣿⡿⣿⣯⣭⡶⠾⢋⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣀⡀⠀⠀⠈⠁⠀⠀⠀⠀⠘⠀⠘⠐⠀⠀⡚⠃⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠛⠛⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⣀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⠛⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠟⢁⡄⠀⠀⠀⢇⠙⠻⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⢰⣿⡇⠀⠀⠀⢸⡷⣤⣀⣉⠉⠛⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⣼⣿⡇⠀⠀⠀⢸⡇⠀⠉⠉⠛⠛⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣠⡿⣿⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⡀⠀⠸⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣷⣦⣀⠀⠈⠛⣷⠀⠀⠀⠀⠀⠀⠀⣶⠖⠒⠒⠒⠒⠒⠒⢶⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⢰⡇⠈⠙⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⣿⠉⠑⢰⣿⠀⢉⣿⠀⣿⠛⡛⡟⠛⠛⣿⠋⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠈⠂⣾⠃⠀⣸⠏⠁⠂⠘⢻⣦⣴⡟⠀⣿⡇⠀⠙⠐⠀⠁⠑⠀⠀⠀⠀⠀⠀⣸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⣠⡟⠀⠀⠀⣿⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣛⣋⣀⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣄⣀⣀⣀⣀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠨⣯⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣤⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠓⠒⠒⠒⠒⠒⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠽⠶⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠚⣡⠀⠀⢎⠓⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⢸⣿⠀⠀⢸⠉⠓⠲⠾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠓⠚⣿⠀⠀⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠦⣄⠉⢲⠀⠀⠀⠀⣶⠒⠒⠒⠒⢶ ⠀⠀⠀⠀⠀⠀⠀⣸⠁⣸⠠⢸⠁⢸⢠⠶⠶⠴⣿⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⢡⠇⢠⠋⠀⣬⣷⣾⣼⡇⠈⠀⠁⠁⠀⠀⣠⠾ ⠀⠀⠀⠀⠀⠀⠈⢓⣋⣀⣀⡇⠀⠀⠀⠀⠀⠀⢀⣠⠔⠋⠀⠀ ⠀⠀⠀⢀⡀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡍⠉⠉⠉⠀⠀⠀⠀⢀⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠉⠉⠉⠁⠀⠀⠀⠀⢀⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠓⠒⠒⠒⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡼⠖⠋⠙⠲⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡟⠲⠤⣀⠀⠀⠀⠀⠉⠒⠤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠞⠋⠙⠲⢤⣀⠉⠒⠤⣄⠀⠀⠀⠀⣙⣶⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠉⠓⠤⣀⠀⠀⠀⠈⠙⠲⢤⣀⠉⠓⣶⠚⠉⢀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠴⠒⠉⠒⠤⣀⠈⠙⠢⢄⡀⠀⠀⠀⠈⠙⣲⡿⠀⢠⠾⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟⠳⠤⣀⠀⠀⠀⠀⠉⠒⠦⣄⡈⠑⠢⣤⠴⠊⠁⣀⠔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠚⠙⠒⠤⣀⠉⠒⠤⣀⡀⠀⠀⠀⠉⠓⢢⣼⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠻⠦⣀⠀⠀⠀⠀⠀⠉⠓⠦⢄⡉⠓⠦⣤⠴⠚⠉⣸⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠴⠚⠢⢤⣈⠉⠒⠤⣀⡀⠀⠀⠀⠀⠉⠓⣢⣿⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠿⣄⡀⠀⠀⠀⠀⠉⠒⠦⣄⡉⠑⠢⢄⣠⠴⠚⠁⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠛⠦⢄⡈⠙⠲⠤⣀⠀⠀⠀⠀⠈⠙⢲⣤⡇⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠻⢇⣀⠀⠀⠀⠈⠑⠲⢤⣀⠉⠓⠦⢄⣠⠴⠊⠉⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠴⠚⠦⢄⡈⠑⠢⢄⡀⠀⠀⠀⠈⠙⠲⠤⣈⡇⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡠⠔⠚⠉⠀⠀⠀⠀⠀⠈⠙⠒⠤⣈⠙⠲⢤⣀⣀⡠⠔⢋⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣤⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠢⣬⡇⠀⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠉⠒⠦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠒⠋⣉⣷⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠓⠢⢤⣀⠀⠉⠙⠲⠤⣀⡀⠀⠀⣀⡤⠔⠚⣉⡠⠤⠒⠉⠁⠀⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠒⠦⣄⡀⠀⠉⣿⣉⡠⠤⠒⠉⠁⠀⠀⠀⠀⣀⡠⠴⢚⣩⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠘⠻⢤⡀⠀⠀⢀⣠⠤⠒⢋⡡⠴⠚⠉⠀⠀⠉⢑⣲⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠈⣷⠊⣉⡤⠖⠋⠁⠀⠀⠀⢀⣠⠴⠚⠉⣀⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠸⠯⣅⠀⠀⠀⢀⡠⠴⠚⢉⣠⠤⠒⠉⠁⠀⠉⠳⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡄⠀⠙⣶⠊⣁⠤⠖⠊⠁⠀⠀⠀⢀⣠⠴⠒⣹⡭⠿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡄⠛⠯⣄⡀⠀⢀⣠⠤⠒⣋⣡⠴⠚⠉⠀⠀⠀⠀⣹⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡄⠀⠙⣯⣩⠤⠒⠋⠁⠀⠀⠀⢀⣠⠴⠚⣉⡤⠼⠧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡄⠛⠧⣄⠀⠀⢀⡠⠴⠚⣉⡤⠔⠊⠉⠀⠀⠀⢈⣹⢶⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡄⠀⢹⣯⡡⠴⠚⠉⠀⠀⠀⠀⣀⠤⠖⢋⣡⠤⠚⠦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡌⠙⠳⢤⣀⢀⣠⠴⠒⢉⣠⠴⠚⠉⠀⠀⠀⠀⢀⣹⢶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡄⠀⠘⣯⡠⠖⠊⠁⠀⠀⠀⠀⣀⡤⣴⣺⠿⠚⠉⠑⠠⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠛⠳⢄⡀⠀⣀⠤⢲⣫⠵⠚⠉⠀⠀⠀⣀⠤⠒⢹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠹⣿⠴⠚⠉⠀⠀⢀⣠⠴⠚⠉⢀⡠⠔⠊ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠈⠑⠢⣤⠴⠚⠉⣀⡤⠔⠊⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠢⢤⣧⠤⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣾⣿⣉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⠿⠧⣍⣉⠛⠛⠿⢷⣶⣦⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣷⣤⣄⣀⠈⠉⠑⠒⠦⢤⣉⡉⠛⠿⠭⣷⣶⢦⣤⠀⠀⠀⠀⠀⣶⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣦⣶⠚⠛⠷⢤⣉⡙⠛⠿⢷⣶⣤⣤⣀⡀⠈⠉⠓⠒⠤⢌⣉⣿⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⠛⠻⢿⣶⣤⣄⣀⠈⠉⠒⠢⠤⣈⡉⠛⠻⠿⣶⣦⣤⣤⣶⠿⠋⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣾⣍⡁⠀⠉⠓⠢⢤⣉⠙⠺⢿⣓⡦⢄⣀⠀⠈⠙⠒⠦⢄⣈⣹⡋⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣍⠛⠯⣷⣦⣄⣀⠀⠀⠉⠓⠢⢤⣉⠙⠺⠯⣗⣦⢤⣀⣤⣾⠿⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣀⠀⠀⠉⠒⠦⣌⡙⠻⠿⣶⣤⢄⡀⠀⠈⠉⠓⠢⢤⣈⡙⣿⠉⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⡤⠼⢯⣏⠛⠿⣶⣤⣀⠀⠀⠉⠓⠦⣄⡉⠓⠾⣝⣲⠤⣀⡀⢀⣠⣿⡏⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣷⣄⠀⠀⠈⠑⠢⣌⡙⠻⢽⣶⣤⡀⠀⠀⠉⠓⠦⣄⡈⠙⠢⣽⠿⠛⠁⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣀⣠⣿⡙⠻⢿⣦⣄⡀⠀⠀⠉⠳⢤⣈⠙⠻⣷⣦⣄⡀⠀⠀⠉⠓⢦⣾⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⣿⣏⡀⠀⠀⠉⠲⢤⡉⠛⢿⣶⣄⡀⠀⠀⠈⠙⠢⢄⡉⠛⠿⣷⣶⣶⣶⠿⠛⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⠻⣿⣦⣄⠀⠀⠀⠈⠳⢤⡈⠛⠿⣗⢦⣀⠀⠀⠀⠉⠓⢦⣀⠙⡏⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠧⣄⠙⠫⣷⢦⡀⠀⠀⠀⠉⠳⢤⡈⠙⠮⣗⠦⣄⠀⠀⣀⣬⣿⠇⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠓⢤⡈⠙⠿⣷⣄⡀⠀⠀⠀⠉⠓⢤⣈⠙⠾⣿⠿⠟⠋⠁⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠲⣄⠈⠛⢿⣶⣄⡀⠀⠀⠀⠉⠓⢦⣽⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⡀⠉⠺⣽⢦⣀⠀⣀⡤⣖⡿⠇⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⣄⠈⠙⢾⡿⠕⠊⠁⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⡀⢇⠀⣀⠤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡖⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣳⣾

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣜⠈⠉⠒⠠⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠊⠒⠌⣑⠢⢄⡀⢈⡰⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠣⢌⡐⠠⢀⠀⠉⠒⢬⠇⡠⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠭⣑⠢⢄⡀⠈⠐⠢⢍⣲⠊⡡⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠻⠄⣀⠀⠈⠐⠨⢁⡂⡤⠒⡩⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢎⠁⠈⠐⠂⢅⡒⠠⢀⠠⠚⡡⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⠒⠉⠒⠌⣁⠂⠄⣀⠀⡡⠞⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠤⠐⠂⠌⣐⠠⢀⡀⠈⠐⢠⡇⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⠄⠂⠉⠀⠀⠀⠀⠀⠀⠉⠐⠨⣴⠈⡑⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⣉⠐⠠⢄⡀⠀⠀⢀⡠⠄⣂⠩⠘⠣⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠒⠠⢀⠹⣭⠀⠊⠁⠀⣀⠤⢐⠪⠧⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⢄⠑⡆⣂⠍⠒⠈⠀⣀⠤⠒⡹⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⢌⠒⢤⠄⣂⠡⠐⠈⠁⣀⠠⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢜⠣⢄⡠⢄⡢⠍⠒⠁⠀⡀⠽⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠫⢅⣀⡠⢔⡢⠅⠂⠉⢈⡑⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢄⠷⢈⠀⣀⠠⢐⡈⠕⠊⠉⠑⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⠹⣔⠊⠁⠀⡠⣄⠶⠛⠋⠁⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠑⣮⠓⠉⢀⠠⠐⢈⠠⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠤⢈⡈⠄⠒⠉⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠇⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⢻⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⢡⠇⠀⣿⠅⠐⠭⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠂ ⠀⠀⠈⡜⡄⢀⠿⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠒⠒⠒⠊⠀ ⠀⠀⠀⠩⠟⡭⠖⠒⡶⠱⠀⠀⠀⠀⠀⠀⢀⠤⠠⠤⠤⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣳⠀⠀⢣⠦⠀⠀⠠⠤⠤⠤⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠏⡆⠀⣟⣚⣠⡄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣤⡁⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠈⠉⠉⠈⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣤⢤⣤⡄⢠⡤⠠⢠⣤⠀⡄⠤⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣟⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⢿⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠇⢹⠀⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡏⢠⡟⠀⠈⣿⡏⠒⠀⠴⣖⣲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠒⠒⠒⠒⠒ ⠀⠀⠀⠀⢸⠀⣿⠀⠀⠀⡿⣯⠁⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡆⢻⡀⠀⢀⡧⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠒⠒⠒⠒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⠚⣿⡶⠿⣀⣀⣀⣉⣑⢲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠁⣿⠉⢻⠉⠉⢹⡟⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠋⠉⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⢸⠀⠀⢸⣇⣼⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⢼⠀⠀⢀⡿⠻⡁⠀⠀⠀⢸⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⠁⡎⠀⠀⣸⣟⣛⣛⣒⣶⡀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡇⢠⠃⠀⠀⡟⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠬⠿⢤⣀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡶⣶⣶⡖⠶⢶⣶⡶⠠⣴⡶⠆⠀⠆⢶⣶⡶⠀⣴⡄⠲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣾⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣏⣧⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠛⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⢹⡇⠈⣯⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⣼⠃⠀⠸⣿⣯⢷⣄⣀⣀⣠⡤⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀ ⠀⠀⠀⠀⠀⢠⡾⠀⣼⠏⠀⠀⠀⣷⣿⣤⣀⣀⣈⣽⡶⠶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢘⣇⠀⣿⠀⠀⠀⠀⡿⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⠀⢻⡀⠀⠀⢀⣧⣷⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠚⠛⠉⠉⠋⠋⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣧⠾⢿⣤⣤⡾⡁⠀⠀⠉⠙⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣤⡟⢿⡦⢴⣿⠶⠶⠷⠶⣿⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠤⣤⣤⣤⣤⣤⠾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⢸⡇⠀⠀⢰⡟⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢸⡇⠀⠀⠈⣷⣰⣿⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣾⣸⡇⠀⠀⠀⣿⠿⢹⡀⠀⠀⠀⠀⢰⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⠋⢸⠁⠀⠀⢠⡿⢶⣬⣷⣤⣀⣀⠀⣺⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⡇⠀⠀⠀⣾⡷⠴⠶⠴⠶⠾⠷⠤⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣰⠃⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡧⠬⠿⣤⣄⡀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠚⠛⠚⠛⠛⠛⠛⠓⠓⠛⠓⠓⠒⠒⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢾⡷⣾⢿⢳⠒⢳⢿⢶⢾⣗⠰⢴⣷⡾⡆⠂⠻⠸⡿⡿⡟⡇⡅⣽⢽⠐⢻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⡠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣾⣉⠉⠒⠢⠤⢍⣙⠛⠽⢶⣦⣤⣀⣀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⠔⠳⠭⣙⡛⠳⢶⣤⣤⣀⡉⠑⠒⠢⠬⣑⣻⡆⠀⠀⡴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣟⡛⠷⣖⣤⣄⡉⠑⠒⠤⣍⡉⠛⠷⢖⣦⣤⡾⠟⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣤⣀⠈⠑⠢⠬⣉⡛⠭⢶⣤⣄⣀⠉⠒⠢⣬⡇⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣴⠒⠛⠢⢍⡛⠻⢶⡤⣀⡀⠈⠑⠢⠬⣙⠚⠽⣶⠟⠋⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣼⡛⠿⣦⣄⡀⠈⠑⠢⢌⡑⠫⢕⡢⢄⡀⠀⢉⣲⡟⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣄⠀⠈⠑⠦⣉⠻⢷⣦⣀⠀⠈⠑⠢⢌⡑⠪⣿⠟⠉⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⠤⠺⢭⡙⠿⣦⣄⡀⠀⠙⠢⢌⡙⠻⣶⣤⣀⠀⠈⣳⣿⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣷⣦⡀⠀⠈⠒⢌⡙⠿⣦⣄⡀⠀⠉⠒⢤⡉⠛⢿⠟⠋⠁⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢇⡙⠿⣢⣄⠀⠀⠉⠲⢄⠙⠯⣲⣄⡀⠀⠈⣑⣾⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠢⣈⠛⢷⣤⡀⠀⠀⠉⠢⢌⠑⠾⡶⠟⠋⠁⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠓⢄⠉⠺⣶⢄⠀⠀⠀⠙⠢⣇⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⡈⠑⢿⣢⡤⣲⠟⠋⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣄⠹⡇⠀⣀⠴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⡗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣄⡇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣸⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⠉⠈⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢧⡀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠒⠒⠒⠒⠒⠒⠲⠀ ⠀⠀⠀⠀⡰⠋⠙⠒⠉⠙⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⡼⠁⢀⠀⠀⠀⢠⡀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠞⠀⣠⠟⠀⠀⠀⢸⠙⢆⠀⠑⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠒⠒⠒⠒⠒⠒⠛⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡏⠀⡴⠁⡆⠀⠀⠀⠸⡄⠀⠑⠂⠤⢄⣈⡉⠑⣲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡇⠀⡇⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀⠀⠘⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⡇⠀⡀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠖⠒⠒⠒⠒⠒⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡗⠀⣇⠀⣿⠀⠀⢰⣦⡀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣅⣾⠛⠃⢹⠀⠀⢈⡇⠙⢦⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠀⠀⢸⠀⠀⢸⠁⠀⠘⡇⠀⠸⡄⠀⠀⠀⠀⡖⠒⠒⠒⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⢸⡀⠀⠀⢷⠀⠀⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠀⠀⡎⠁⠀⠀⠸⡄⠀⠙⠢⣄⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⢰⠁⠀⠀⠀⠀⢹⡷⠶⠶⠮⠷⠤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠀⢀⡇⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠃⠀⠸⡄⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠒⠤⢄⣘⡄⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡆ ⠀⠀⠀⠀⠀⠀⢀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠨⠂⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⢹ ⠀⠐⢀⠀⠀⣤⡈⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠄⠀⠀⠀⠀ ⡎⠠⠠⠀⠀⠀⠈⠂⠠⢌⣀⡦⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡅⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⣴⡀⡇⠰⠢⡀⠈⠄⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠁⠀⡇⢰⠀⠸⠀⢀⠀⠀⢠⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⠐⠀⠀⣆⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠀⠀⠀⠀⠘⠒⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠈⠁⡃⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠂⠒⠘

⠀⠀⠀⠀⠀⠀⣠⠾⠛⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠺⢧⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⠶⠖⠒⠒⠒⠒⠒⠒⠲⡆ ⠀⠀⠀⠀⠀⣰⠟⠛⠦⠴⠛⠳⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡼⠁⠀⣠⠄⠀⠀⠀⢶⣦⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠞⠀⠀⡼⢻⠀⠀⠀⠀⠘⡎⠳⣄⠀⠈⠳⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡖⠒⠒⠒⠒⠒⠒⠒⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⠋⠀⢀⡞⢀⣼⠀⠀⠀⠀⢠⡇⠀⠈⠳⢤⣄⡀⠀⠈⠉⠓⠒⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⡏⠀⠘⢸⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠉⠙⠳⣶⣦⣤⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⠀⠀⡇⠀⠀⢻⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⢘⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⡇⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠛⠋⠉⠉⠉⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢨⡇⠀⣷⠀⠀⣿⠀⠀⠀⢰⣤⡀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⣴⣾⣷⠀⢻⠀⠀⠀⠸⡇⠙⢦⡀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠾⠿⠀⠈⠀⣸⠀⠀⠀⢠⠟⠀⠀⢻⡀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⢸⠀⠀⠀⠘⣇⠀⠀⢿⠀⠀⠀⠀⠀⠀⣿⠉⠉⠉⠉⠉⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢾⠀⠀⠀⢸⡀⠀⠀⠀⣿⠀⠀⠸⡆⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡟⠇⠀⠀⠀⢸⡆⠀⠀⠻⣦⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⠀⠀⢰⠁⠀⠀⠀⠀⠀⢿⣄⣀⣀⡀⠙⢳⡄⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠃⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⣷⠒⠚⠛⠛⠛⠓⠒⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠀⠀⠠⣇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⣧⣀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⠈⠙⠒⠦⠼⠖⠀⠀⠀⠀⠀⠀⠷⠦⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠷ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣍⣑⠊⠭⢓⡰⠆⣤⡄⠀⢀⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⢯⢍⡐⠩⠙⡓⠦⢤⢉⠴⠇⠠⠊⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠼⡃⠆⣄⡀⠂⠅⣂⠴⣠⡤⠞⢀⠔⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠼⠟⠦⢄⡁⠊⠝⠁⠢⢄⣉⡴⠀⠀⠂⠀⠀⠀⠀⠀⠀ ⢀⣤⠤⢟⠳⣠⡀⠐⠨⡓⠦⣄⡀⣠⡏⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢟⠷⣄⠈⠂⠙⠐⡄⡀⠑⠨⡙⠁⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⡙⢆⣀⠀⠐⢍⣷⠋⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠢⠉⠑⣤⠔⠛⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⠸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆

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⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠏⠀⠀⠀⠀⠀⠀⢀⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⢀⣠⢤⣶⣤⣤⣶⡿⠃⠀⠀⠿⠛⠋⠿⠀⠀ ⠀⠀⠀⠀⣠⣿⠟⣾⣿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⠃⠐⠿⣿⣶⣦⣤⠀⠀⠀⠀⠀⢠⣶⣶⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⢈⣿⡄⢰⣶⣶⣶⣾⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢀⣾⡿⠁⣀⣀⣿⣁⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣙⣋⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿

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

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imma add every tag to this - kato_therian on yt