⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⠆⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⡶⣿⠯⠃⠓⠉⠳⢷⣤⡠⢀⠀⠈⠀⠀⠀⠀⠀⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣾⠏⢳⡿⡽⢠⢤⣽⣠⠜⠀⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠓⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠿⠁⡰⢯⣟⡿⣯⣟⣶⡿⣔⣤⣄⣄⣠⣤⣤⠗⠋⠀⠀⣆⠀⠈⠙⢦⣤⣀⠀⠀⣈⠀⢂⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⣻⠀⠎⣽⡻⠫⣿⢷⣻⢷⣻⣟⡿⣽⣛⣛⣻⠃⠀⠀⠀⣸⣿⡀⠀⠀⠈⣟⡿⢿⣿⣶⣿⡿⣿⢿⣦⡄⠀⠀⠀⠀⠀ ⠀⣾⢷⡏⠂⢴⣹⣇⣴⣿⣻⢯⣿⣳⣯⢿⣳⣟⣿⢏⠀⢀⣠⣾⣟⡟⡷⡀⠀⠀⣼⣟⣷⣲⡼⣶⡴⣽⣻⡽⣿⣶⡄⠀⠀⠀ ⠸⣿⢸⡳⠈⣾⣳⢿⡿⣯⣟⣯⣷⢿⣽⣻⣽⢾⣿⣿⣿⣿⣿⢿⣽⣻⢿⣿⣮⣽⣿⣻⣞⣷⣻⢷⣻⢷⣯⣟⣷⢿⣿⣦⠀⠀ ⣇⣿⣾⡏⢸⣾⢯⣟⣿⣟⣾⣻⢾⣯⣷⣿⣽⠋⠀⣿⣻⢾⣽⣻⢾⣽⣻⢾⡽⣟⣷⢯⣟⣾⡽⣟⣯⡿⣾⣽⡾⣿⡽⣿⣧⠀ ⣿⣏⠏⠀⠸⣿⡏⣾⡝⠚⢷⣟⡿⣞⣷⣻⣯⣧⣾⡿⣟⣿⢾⡽⣟⣾⡽⣯⣿⣻⠞⠻⣯⣷⢿⣻⣽⣻⢷⣯⣟⣷⢿⣟⣿⡄ ⢡⣧⢖⣹⢶⠉⣷⡽⣧⣰⣿⣯⢿⡽⣯⢿⣽⣻⡿⣽⢿⡽⣯⣿⣻⣽⣻⣽⢷⡇⣄⣴⣿⣽⣻⢯⣷⢿⣻⣾⣽⣾⣿⡿⣯⡇ ⠈⣽⣾⣏⡾⣢⢸⡽⣿⣽⣻⣿⣯⣿⣽⣻⢾⣽⣻⢯⣟⣿⣽⢾⣯⢷⡿⣽⣻⢿⣟⣿⣳⣯⣟⡿⣽⣻⣽⣾⣳⣿⣿⣿⡿⠁ ⠀⠘⢿⣾⣿⣧⢧⣽⣿⣾⡽⣷⡿⣞⣷⡿⣯⣷⢿⡻⢋⢹⣾⢿⡽⣯⣿⣻⡽⣿⣞⣯⣷⣟⣾⣟⡿⣽⣳⣯⣿⣿⣿⡟⠀⠀ ⠀⠀⠈⢟⣿⣿⣯⢞⣷⣻⢿⡽⠉⢸⣯⣟⣷⣻⣿⢷⢀⣼⣯⢿⣻⣽⡾⣯⣟⣷⣯⣟⣾⣽⡾⣯⣿⣟⣿⣿⣿⣿⣿⣿⠀⠀ ⠐⢻⣶⡾⢿⣿⣿⣮⢹⡽⣿⣧⣶⣿⢾⣽⡾⣿⣽⣻⡿⣯⣟⡿⣽⣳⣿⣽⣻⣞⣷⣿⣻⣾⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⢛⡿⠃⠘⣿⣿⠛⠆⡻⣷⣻⣽⡾⣟⣷⢿⣳⣯⣷⢿⣯⢿⣽⢿⣽⡾⣷⣿⣻⣿⣾⣟⣯⣷⣟⣷⣿⠷⠋⠙⣿⣿⡟⠀⠀ ⠀⠨⣁⠀⠀⠘⣷⣺⣦⣿⣳⢯⣟⣿⣟⣾⣟⣯⣷⢯⣿⢾⡿⣽⣿⣯⣿⢿⣻⣿⣯⣿⢾⣻⢷⡿⠝⡉⠆⠠⢠⣿⠏⠀⠀⠀ ⠀⠀⠛⠁⠀⠀⠘⣯⣻⣻⣽⣯⢿⣿⢾⣳⣯⣿⢾⣿⣻⢿⣻⣟⡷⣯⣟⡿⣽⣳⣟⣾⢿⠛⢱⠍⠂⠀⢈⣶⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⢳⢤⡀⠀⠈⢷⣿⣳⣯⣿⣟⡿⣽⣳⣯⣿⣞⡿⣯⣿⣾⡿⣿⣟⣛⠛⠉⠉⠈⠀⠀⠈⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠫⡿⣦⣀⡀⢈⣛⣯⣷⣿⣽⡿⠽⠓⠛⠈⠉⠀⠙⠀⠀⣿⣿⣿⣿⣷⣄⣀⣠⣴⣤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⢿⣹⣿⣿⣿⣿⣿⣿⣷⣦⣤⡀⠀⢀⣰⣷⣶⣿⣿⣿⣿⣿⣿⡿⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠺⠷⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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