⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠉⠉⠉⢋⣹⠟⠀⠀⠀⢸⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣈⡉⠉⢩⣾⣥⣴⣯⣼⡛⠀⠀⢀⣶⠿⠞⠁⢿⣥⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⠋⠉⠉⠉⠉⠙⠛⠻⠷⢶⣤⣤⣴⣟⠁⠀⠀⠀⣸⣿⡶⠾⠛⠉⠉⠉⠉⠉⠉⠉⠉⠙⠿⣶⣤⡀⠀⠈⠉⠉⠓⠦⣜⠛⠷⢤⣤⣼⡿⢙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣶⣦⣶⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⣿⣷⣤⠤⢤⣀⠀⠈⢳⡄⠀⠀⢈⣥⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠚⠀⠙⢷⣤⠀⢳⡄⢸⣇⣤⣾⣯⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⡶⢠⡇⠈⠉⠀⢸⡟⣦⠻ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠘⣿⣾⡴⡆⠀⠀⠀⢷⠘⣶ ⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⢀⣤⣶⡿⠟⠛⠛⠻⢿⣿⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣾⣿⡿⠛⠛⠛⠛⠿⡿⣷⡆⠀⠀⠀⠀⠀⣿⠉⢸⠃⠀⠀⠀⠘⠛⣻ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠿⢿⣼⣿⣀⣀⣀⣀⣼⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⣀⣀⣠⣿⡿⠃⠀⠀⠀⠀⠀⣿⢀⡟⠀⡶⠶⣶⣴⠟⢿ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⡿⠟⠋⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠈⠻⠿⣿⣿⠍⠁⠀⠀⠀⠀⠀⠀⢸⡏⣸⡇⠀⡇⠀⡇⣿⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣦⣼⣇⡏⢳⠀⡇⠀⣷⡇⠀⣾ ⠀⠀⠀⠀⠀⠀⠀⣿⢀⣴⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡌⡇⠈⣷⣇⠀⣿⡇⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠷⣄⣸⣿⣄⢁⣀⣀⣿ ⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⣀⣤⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣶⣄⡀⢀⣴⠟⠂⠈⣉⣉⣿⡏⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⣿⠃⢿⠿⠛⢿⣿⣿⣿⣿⠶⣶⣦⣤⣤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣠⣤⣴⡶⠶⢿⣿⣿⡿⠛⠿⡟⢻⣇⡴⢚⡟⣡⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⢻⣿⣿⣿⣇⡈⢻⡋⠀⠉⠉⠉⠉⢻⣿⣿⠟⠛⠛⠛⠛⠛⢻⣿⣿⠋⠉⠉⠉⠉⠻⡏⠀⣠⣾⣿⡿⠃⠀⠀⠀⢸⡏⣠⡞⣱⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠻⣿⣿⠟⠛⢿⣧⣤⣀⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⢀⣀⡿⠒⢣⣼⠟⠀⠀⠀⠀⠀⢸⣿⠋⢰⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⡄⠀⠀⠀⠀⠀⠙⢿⣆⠀⠀⣇⠈⠉⠛⠷⠴⣦⣿⣄⡀⠀⠀⠀⢀⣠⣴⣿⣀⣀⡶⠦⠶⠛⣿⣵⣶⠟⠁⠀⠀⠀⠀⠀⠀⢸⡇⣠⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠈⠙⢷⣀⣿⡆⠀⠀⠀⠀⠉⣿⠉⠛⠛⠛⠛⠛⠁⢸⡏⠀⠈⠁⠀⢀⣸⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⢠⣿⠿⣏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⣼⣿⠿⣿⣶⡄⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⢀⣼⣧⣤⣤⣶⠾⢿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⢠⣿⣇⠀⠀⠓⠀⢀⡤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠹⣿⣷⣦⡉⠙⠳⠖⠺⢿⣿⣶⣤⣤⡷⠒⠛⠛⠉⠉⢀⣠⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡀⣠⣴⡞⠉⠀⠀⠀⠀⠀ ⠀⠀⢀⣶⣿⣷⡿⣿⣙⣿⡿⣿⣄⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠿⠿⢟⣹⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⢷⣾⡆⠈⠀⠈⣇⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠿⠿⠿⠿⠿⢿⣿⣿⣿⠿⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⢻⡇⢀⣤⠸⣯⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡏⣿⡆⢀⣄⠻⣧⠀⢈⡿⢷⣤⣄⣀⠀⠀⠀⠀⠀⢀⣀⣀⣤⡾⠿⠿⠿⠋⠉⠹⠿⠿⣦⣄⣀⣀⡀⠀⠀⠀⢀⣠⣾⠿⠁⠀⠀⣿⢠⣿⡼⣷⣌⣿⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⢿⢿⡏⣿⠿⣦⣿⠀⣿⠀⠀⠀⣹⣿⡿⠛⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢉⣹⣿⡟⠛⠛⠛⠉⠁⠀⠀⠀⠀⠻⡾⠃⢷⡇⠉⠙⠦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠈⠁⢸⣇⣀⠀⢸⡿⠿⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣛⠿⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠴⠒⠲⠶⠒⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⡛⠉⠙⠛⢿⡛⢻⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣋⠙⣿⠿⠷⠛⢷⠶⣄⠀⠀⠀⢀⣤⠶⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣤⣤⣄⣀⣀⣠⠞⠋⠛⠶⠶⠶⠶⠞⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠶⣦⣤⣤⣤⣤⠾⠋⠀⠀⣠⣯⣽⣤⣽⣄⣀⣀⣀⣀⣀⣀⣀⣀⣠ ⠀⠀⠀⠀⣠⠞⠉⠓⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⣠⠞⠉⠳⣄⠀⠀⠀⠀⢀⡴⠋⠁

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