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(\—/) ( °w°) ( UU ) (-()-()-)>> •.,¸,.•*`•.,¸¸,.•*¯.——————. •.,¸,.•*`•.,¸¸,.•*¯| : : : : :/\____/\ •.,¸,.•*`•.,¸¸,.•*¯|: : : : :( ｡OωO｡) •.,¸,.•*`•.,¸¸,.•*¯ し——し——Ｊ

(\—/) ( °w°) ( UU ) (-()-()-)>> ˖⁺‧₊˚♡˚₊‧⁺˖"૮₍ ˶•⤙•˶ ₎ა

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠤⠀⠀⠀⢀⠠⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⣒⠍⠒⠈⠁⠀⠀⠀⠀⠀⠉⠀⠂⠅⡂⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⢔⠅⠊⠀⣠⠖⠲⣄⠀⠀⠀⠀⠀⣠⠴⣦⡀⠈⠐⢕⢄⠀⠀⠀⠀ ⠀⠀⡰⡡⠁⠀⠀⢠⡏⠀⠀⣸⣷⣤⣤⣤⣞⡁⠀⠘⣷⡀⠀⠀⠑⡑⡀⠀⠀ ⠀⡐⡐⠀⠀⠀⠀⣼⣠⠔⠉⠉⠀⠀⠀⠀⠈⠁⠲⣤⣽⡇⠀⠀⠀⠘⠜⡄⠀ ⠀⠰⠀⠀⠀⠀⢀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣇⠀⠀⠀⠀⠐⠰⠀ ⠀⠀⠀⠀⠉⠙⡿⠤⢄⠀⠀⠰⠆⠀⠀⢠⡦⠀⠀⡠⢀⣿⣆⣀⡀⠀⠀⠀⡀ ⠀⠀⠀⠀⠲⠺⡗⠢⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣡⢀⣿⣇⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢦⣄⡀⠀⠀⠀⠀⠀⠀⣀⡴⠋⢸⣿⠟⠉⠉⠉⠀⠀⠀⠀ ⠐⠠⠀⠀⠀⠀⠀⠀⠈⠉⢻⠻⠿⠷⠒⠋⠛⠁⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠡⠡⠀⠀⠀⠀⠀⠀⠀⡼⠀⠘⣶⡀⠀⢴⡞⠋⠁⠀⢀⣀⠀⠀⢀⢢⠃⠀ ⠀⠀⠱⡑⡀⠀⠀⠀⠀⢠⠇⣄⡀⣿⣷⠀⠈⣇⠀⠀⣰⢋⣾⠀⡠⡡⠁⠀⠀ ⠀⠀⠀⠈⠪⡂⢄⠀⠀⡼⠀⠈⠻⠿⠟⠀⢸⢹⠀⡴⢃⣾⠏⡨⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠐⠥⣂⠣⢀⡀⠀⠀⠀⠀⠀⡼⠏⠔⡉⠄⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠁⠒⠀⠉⠉⠁⠐⠒⡎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⣀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⣋⣉⠤⠄⠀⠀⠀⠀⠀⠠⠤⣈⣉⠐⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢋⡡⠴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⢌⡙⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⢋⡤⠚⠁⠀⢀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠈⠓⢤⡙⠢⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⢉⠔⠉⠀⠀⠀⢠⣿⠋⠉⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠙⣿⣆⠀⠀⠀⠈⠢⡈⠳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⢁⡔⠁⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠘⣿⣷⡀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠹⣿⣆⠀⠀⠀⠀⠈⢦⡈⢦⠀⠀⠀⠀ ⠀⠀⢀⡜⢠⠎⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⢀⣤⣴⡷⠿⠿⠛⠛⠛⠿⠿⣷⣤⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⠱⡄⢳⡀⠀⠀ ⠀⠀⡞⢠⠃⠀⠀⠀⠀⠀⠀⢠⣿⣀⣤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠲⣦⣄⣸⣿⡇⠀⠀⠀⠀⠀⠀⠘⡄⠱⡀⠀ ⠀⡜⢠⠏⠀⠀⠀⠀⠀⠀⠀⢸⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠸⡄⢣⠀ ⠀⠀⡞⠀⠀⠀⠀⣀⠀⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⢱⠈⡆ ⠀⠀⠁⠀⠀⠀⠈⠛⠻⢶⣿⣇⣀⡀⠀⠀⠀⠀⢠⣶⡆⠀⠀⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⣀⣸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠉⠁⠉⢣⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠘⠛⠋⠀⠀⠀⢰⠋⠀⢴⣿⣿⡟⠛⠛⠓⠀⠀⠀⠀⠀⠰ ⠀⠀⠀⠀⠀⠀⠰⠶⠿⣿⡟⢛⣀⠤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡣⢄⣰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠛⣿⣷⣿⣿⡿⠛⠻⠶⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠏⠀⠀⣸⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣿⣿⣶⣶⣶⡦⠴⣞⣽⡿⠋⠀⠀⣰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢣⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠉⢉⡁⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢧⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⢿⣶⡀⠀⠀⢠⣶⣿⠟⠋⠁⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢠⠂⡰⠁⠀ ⠀⠀⠈⢣⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⢸⣿⣷⡀⠀⠀⡿⣿⠀⠀⠀⠀⠀⣠⡾⢛⣿⠀⠀⠀⣠⢃⡼⠁⠀⠀ ⠀⠀⠀⠀⠳⡈⠣⡀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠠⣦⣀⣀⣸⣿⣿⡇⠀⠀⡇⢿⡄⠀⠀⠀⣰⡟⢁⣿⣿⠀⢀⠜⢡⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠢⡈⠢⡀⠀⠀⠀⠀⠀⣼⠇⠀⠈⠻⣿⣯⣾⢿⡇⠀⠀⢧⢸⡇⠀⠀⣰⡟⢀⣾⣿⠃⠐⢁⡴⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠢⣈⠳⢄⡀⠀⢀⣿⠀⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⢸⡄⣿⣠⡾⠋⣰⣿⠟⠃⣀⠔⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⣌⠑⠺⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⣿⣏⡤⠚⢉⣠⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⡦⠤⣉⣉⠒⠒⠒⠶⠖⠒⠒⠒⠒⣁⣀⡤⠔⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⢀⣠⣴⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⡼⠀⣀⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⡀⣠⡿⠋⢀⣿⣿⣿⠿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣽⣿⣿⣿⡇⠀⠀⠀⠀⠐⠄⠀⠈⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠙⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠛⠗⠲⣶⣿⣧⠄⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣄⣀⠙⣧⣄⣸⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⢀⣴⣿⣿⣿⣿⣿⣿⣷⣌⠻⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠈⠑⠀⢤⣄⠙⠢⢄⣀⠚⠻⢥⣴⣲⡦⠤⢤⡄⣀⠀⠀⠀⠀ ⠰⢶⣲⣤⡄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⢄⡀⠉⠉⠒⠋⠉⠳⣔⣶⣤⣤⣀⠈⡂⠛⠿⣿⠂⠀ ⠀⠩⣟⡿⣟⠂⢀⡀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠘⠙⢷⣄⠀⠀⠀⠀⠙⠲⡲⣄⡀⠀⠀⠀⠈⠉⠻⢿⣧⣅⡤⣤⣍⠀⠀ ⠐⢫⣷⠟⢋⣶⣅⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠸⣿⣷⣶⣰⣜⣦⠠⣝⢶⣝⢶⣄⠀⠀⠀⠀⠒⠮⣟⢿⣿⡿⠆⠀ ⠀⠈⠴⢚⡿⣿⣿⣷⠄⠀⠀⠀⠈⠙⠛⢻⣿⠛⢧⠀⠀⠀⠀⠀⠀⠀⣿⡟⠙⡏⡿⣌⣆⠈⠳⣝⣿⣮⣻⢷⣦⠀⢤⣀⣹⣿⣿⡿⢧⠀ ⠀⠀⠐⣫⢿⣯⣿⡿⠀⠀⠀⠀⠀⠀⠀⠘⡟⢧⠈⣧⠀⣀⣀⣀⣀⡀⣸⠇⠀⢻⣄⠈⢿⢧⠀⠈⢿⣻⣌⠳⣽⣧⣼⣯⡍⠻⣿⣿⣆⠀ ⠀⠀⠘⠁⠛⠀⢭⡇⠀⠀⠀⠀⠀⠀⠀⠂⠺⠾⠦⠘⠉⠀⠀⠀⠈⠙⢿⡀⠀⣼⢹⠀⠘⡟⣷⠐⠚⢳⡽⣦⣾⣿⡟⠯⠁⠀⢈⣯⣿⡦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣷⣶⣿⣼⣷⠾⠟⠛⠙⠁⠀⠀⠀⠀⠀⠀⢹⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠋⠉⠉⠁⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣓ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠐⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠿⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣶⡀⠀⠀⠀⠀⣰⠖⣡⣶⣾⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣯⣿⣿⠇⠀⠀⠐⠀⠁⠀⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⢠⡖⠤⣤⣧⠀⠀⠈⠉⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢀⣤⣶⣶⣤⡹⡦⠟⠃⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⢀⠀⠀⠈⢀⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⡂⠤⢑⣠⢔⣃⠤⠶⠀⣤⢄⣀⠀ ⠉⣷⣵⠀⡀⠸⣿⣿⣿⣿⣿⣿⣿⠓⠆⣄⠀⠀⠑⢤⣄⠁⠈⠘⠻⢶⣀⣈⡛⠀ ⠈⢟⣭⣾⣄⠀⠘⠿⢿⣿⠿⠋⠀⠀⠀⢸⡷⣶⣗⡔⢕⢷⡢⣄⡀⡐⢫⣿⢿⡀ ⠀⢐⣿⢿⡟⠀⠀⠀⠀⢸⢇⢣⣀⠀⢀⣈⠇⢸⡌⢚⡄⠹⡯⡛⣷⣼⡞⠻⣷⡁ ⠀⠈⠈⠀⠃⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠈⠧⢼⣧⣈⣼⣬⡼⠽⠛⠋⠁⠀⢻⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠉⠃⠀⠀⠀⠀⠀⠀⠈⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣦⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣾⣶⣶⣿⣟⣷⣷⣶⣶⣶⣶⣶⣶⣶⣶⣴⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⣿⠿⢿⠻⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⠻⠿⠿⣿⡿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⢻⡟⢿⠷⡾⣷⣶⣭⣂⣿⣯⡽⢿⣿⣴⣦⣌⣿⣿⣿⣿⡿⣾⢷⣻⣿⣿⣿⡍⡷⢿⠿⡛⢭⠱⣩⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢛⡛⢻⠳⢷⣶⣥⣷⣽⣿⣷⣿⣾⣶⣷⣿⣿⣿⣿⣿⣿⣷⣧⣿⣷⣮⣿⣿⣧⣽⣧⣶⣵⠾⠿⠿⢿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⢶⣬⣅⠋⠿⡿⣿⣛⣿⣿⣿⡟⣛⢻⣛⢿⡿⣿⢿⣿⣿⣿⡿⣟⡿⣿⣿⣿⣿⠹⣟⠛⡤⣉⢎⡵⢪⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⣘⢮⣿⣿⢸⢟⣡⢛⣿⣿⢋⠦⡹⣌⢳⢬⣳⢹⣿⢞⡳⢾⣿⣳⡽⣞⡵⢮⡹⢿⠿⣾⣌⠷⡱⢊⡼⢩⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⣭⢩⣿⣿⡿⣼⢾⣥⣋⣦⣷⢎⡶⣱⢎⣷⡞⡴⢣⡝⠬⡱⣿⣟⣳⡽⢧⣛⢧⡻⢭⢿⣽⣿⣷⣥⢧⣜⣣⣎⣽⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣜⢦⣣⣝⣶⣿⢿⡻⢿⢻⡟⣮⢻⠼⣍⢏⠳⣜⢣⢿⡷⢧⣱⣿⣿⢷⢯⡻⡭⢶⣙⣎⠞⣴⢩⢟⡿⣷⣾⣽⣟⣻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⡛⡟⢻⢩⠹⣭⡙⢦⡹⣌⠣⡜⡰⢉⡚⡌⢎⡳⢬⢷⣎⣷⠸⡼⣿⣯⣟⡮⢷⡙⢯⠹⡜⣫⠞⡱⢎⠲⠡⠎⢭⡙⡟⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡱⣘⢣⡍⢳⠰⡙⢢⠱⣈⠳⡌⢵⢪⠴⣙⢮⣻⢧⣚⡼⣌⠳⣜⣿⣿⣮⣝⢧⡻⣦⣳⡜⣤⢣⡕⣪⢔⣣⡙⢦⢩⠹⢾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣽⢣⢇⡚⣌⢣⡱⣬⢳⢷⠾⣷⣾⣷⣯⣾⣿⣾⢧⡻⡼⣿⣯⢳⣹⣿⣿⣻⢏⡷⣹⢳⣭⢻⣜⣳⡞⣵⣫⣶⣹⣦⣣⣙⢦⡚⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣋⢶⣸⣶⣵⣶⣿⣯⣿⣮⣟⣼⣣⣯⠝⣭⢫⣜⢣⠳⣽⣹⣿⣿⣿⣿⣿⣟⡻⣜⣧⣿⣼⣿⣾⠿⣛⠟⡛⣙⢋⡛⡝⣩⢣⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⠿⡛⢏⡍⢣⠎⡴⡑⢎⡜⡩⢎⠹⣄⠫⡔⢣⢎⠿⣝⡶⣿⣿⣿⣿⣿⣿⣞⡽⣽⣾⡟⡟⡭⢒⡱⡌⢎⡱⠼⠾⠷⡿⠿⢿⠿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⡡⢏⡙⢎⡜⢣⠝⢲⡉⠶⡈⠟⣉⠒⡹⠲⣍⢣⣎⣽⣗⣿⡿⣿⣿⣿⡿⢏⣟⣾⣿⣳⢯⡜⢥⠓⡼⣸⢡⢎⣱⣩⣶⣷⣿⣾⢿⡶⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⣿⣿⣷⣯⣜⣲⡚⡷⢾⣧⣾⣷⠚⣤⢡⡚⢤⡓⣬⢳⣿⡽⣻⣾⣵⢻⣞⣿⣽⣾⣿⣻⢶⡽⢦⣙⢦⡙⡴⣹⢾⡿⣿⣟⣷⣷⣾⣶⣻⣽⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⠿⡿⢷⣿⣭⣵⣭⣽⣮⣽⢧⠛⣆⠣⡝⢦⣙⡖⣫⢾⡝⣷⣿⣿⣿⣿⣿⣿⣿⣟⣧⣿⡹⢣⢏⠶⣙⠶⣩⠾⣿⣿⣟⡛⣿⣿⣭⢙⣻⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣯⢟⡽⢣⢖⣩⣾⢩⢱⣿⡟⣬⠿⢤⠳⣜⢣⠞⡜⣧⢻⡟⣷⣿⣿⣿⣿⣿⣿⣿⢯⣻⢵⣫⢟⡬⣏⢧⢏⡵⢫⣝⣿⣿⡒⢼⣿⣧⠇⡞⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣏⡾⣘⠧⡞⣤⢋⠶⣿⣿⣝⢦⡛⣌⠳⣍⢾⡹⣜⣣⢟⡼⣳⣿⣿⣿⣿⣿⣿⣿⣟⣧⠿⣜⢯⠞⣥⢏⡎⡗⢳⣚⣿⣿⣿⣮⣿⣧⣋⣷⣜⣶⣿⣷⠀⠀⠀⠀ ⠀⠈⠿⢿⣿⣿⣿⣛⣷⣿⣶⣯⣽⣿⣿⣟⢧⢫⡝⢻⡙⢮⣳⡹⣜⢯⢾⡵⣻⣿⣿⣿⣿⣿⣿⣟⡾⣏⡟⣾⡻⣜⢢⠽⣘⠧⣞⣽⣿⣿⣿⣻⣟⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⢽⡻⣟⢿⡿⣿⣿⡟⣿⣯⢞⡵⣞⣣⢽⡲⣥⢻⡜⣯⢞⡵⢯⣿⣿⣿⣿⣿⣿⣟⣳⢯⡽⣾⡱⣎⢧⢫⡝⣺⡜⣽⣻⡿⣽⡿⣟⠻⣙⣾⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⣿⡷⣹⡞⣬⢳⡝⣻⢿⣿⣿⣞⣳⢳⣎⢧⡳⢭⡳⣝⡮⢿⣜⡯⣿⣿⣿⢯⡝⣾⡹⢧⡻⣼⣃⠷⣩⢞⣣⡝⣶⡹⢶⣿⣿⠳⡜⡴⣫⣾⡿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⣿⠇⣿⣿⣷⢫⡝⣮⢳⡝⣞⢼⣻⣿⣿⡼⣗⢮⡳⣭⢳⡝⣮⢽⡳⣞⡽⣳⣿⣿⢧⣛⢶⣝⣣⢟⡶⣩⢳⡍⢾⠴⣙⢦⣿⡍⡞⣴⣫⣼⣿⡿⢯⣽⣿⣿⡇⠀⠀⠀⠀ ⠀⢸⣿⢩⢺⣿⣿⢣⡟⣜⣣⡝⢮⠖⡽⣿⣿⣳⢎⡯⢷⣭⢳⣛⣮⢷⣫⢷⣛⣷⣿⣿⡯⣝⠾⣜⢦⣏⢶⡙⣞⡼⣍⠾⣙⢮⣿⡜⣩⡿⣛⢭⢣⣽⡾⢫⣼⣿⡇⠀⠀⠀⠀ ⠀⢸⣿⠡⠎⣽⣿⣧⢻⡼⣱⢺⡭⣞⣱⢣⢿⣟⡮⣝⡳⣞⠿⣜⣧⣛⠾⣯⡽⣞⣿⣹⣿⡝⣮⡝⣞⣬⢳⣙⢦⠽⣘⢮⣙⢮⣿⡗⡼⡱⣍⢮⣓⠮⣵⣿⣿⣻⣇⠀⠀⠀⠀ ⠀⢸⣿⡧⡙⢤⢻⣯⡧⣽⡱⣏⢶⡹⣒⣏⣿⡿⣟⢧⡻⣼⡻⣼⢞⣯⢟⣵⣻⣿⣿⠘⣿⣝⠶⣹⢳⡬⣓⢮⡛⣼⢣⠳⣜⡺⣿⡷⣑⡳⢬⡳⢎⣻⣾⣿⢣⣿⣷⠀⠀⠀⠀ ⠀⢸⣿⣷⣭⢌⠣⣿⣿⢲⡝⣎⠷⣍⡳⣛⣿⣿⢎⡳⣝⡶⣹⢧⣛⣮⣟⢾⣱⣿⡇⠀⣿⣯⢻⡜⣧⣛⠵⣮⡱⢎⢧⡛⡴⣿⣿⢿⢶⣭⠳⣍⢫⠽⣟⢣⢯⣿⣿⠀⠀⠀⠀ ⠀⠈⣿⣿⣿⣮⣱⢪⢽⣷⣿⣬⢻⡜⣱⠧⣾⣯⢏⡷⣫⢞⡽⣞⣧⢷⣚⣯⢳⣿⡇⠀⣿⣯⠷⣹⠶⣭⣛⠴⣭⢛⡶⣩⠷⣹⣿⣎⡞⡴⣻⣾⢷⡚⣬⣷⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠙⣿⣿⣿⣿⣷⡎⢽⡩⣍⠷⣙⢦⣻⢾⣟⢮⡳⣝⢮⡽⣺⣝⡮⣟⡼⢯⣿⠇⠀⢼⣯⡟⣵⢫⣖⡹⣚⣬⠳⣜⣣⠯⣽⣿⣿⣼⣷⡿⡞⣆⢳⣽⣿⣟⣽⡿⠇⠀⠀⠀ ⠀⠀⠘⠘⣿⣿⣼⣏⡿⣷⣮⡜⣹⢿⣮⣽⣿⣟⡎⣷⡹⣎⢷⡻⣜⣳⣭⣛⣯⣿⠀⠀⢸⣿⡽⣎⡷⢮⡕⣯⢖⡻⣜⡲⡝⣮⢿⣿⣿⢿⣿⣿⣾⣿⣿⢿⣰⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⣻⣿⣿⣾⣽⣿⣿⣾⣽⣿⢼⣿⡿⣜⢧⣻⡜⣧⢻⡝⣶⢣⣟⣾⣿⠀⠀⠸⣿⣻⣼⣹⢣⠞⡦⢏⡶⣙⠶⣙⡖⢯⢿⣿⣾⣿⣿⣿⣿⣯⣾⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣻⣟⢿⡻⢿⡟⣿⠿⣿⠻⡵⣎⣷⢣⡿⡼⣧⢻⡵⣛⣮⣿⡇⠀⠀⠘⣿⣿⣶⡹⣏⡟⣼⢣⠷⡭⢞⡵⣺⠭⡞⣴⢫⠞⣽⣛⠯⣽⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡖⣯⢞⣭⢳⡝⣮⡳⣍⢯⡵⢫⣜⢫⣗⡻⣵⢫⢿⣱⢷⣿⡇⢈⡇⠀⣿⣿⡝⡿⣞⡼⣣⠟⣼⡱⣫⢼⡱⣫⣝⡲⢯⡝⢦⡝⢮⣽⣿⣯⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⢞⣽⣷⣫⢞⣱⠻⣜⡳⢎⢷⣋⠷⣎⠿⣾⣯⣷⣿⣿⣿⡃⠈⠁⠀⣿⣿⣿⣷⣿⣶⣧⣿⣴⣳⣟⣮⣷⣷⣎⣟⣧⡻⣜⡜⢧⣿⣿⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⣿⣿⣎⣾⣿⣳⢎⣳⣻⣬⣷⣭⣶⣭⣾⣬⣷⠾⠿⣿⣿⣿⣿⡇⠀⠀⠀⣿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣻⣾⣿⡿⣿⣿⣄⠀⠀⠀⠀ ⠀⢀⣴⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣽⣿⣿⣷⣯⣷⣿⣶⣿⣿⣿⣿⣿⢿⣿⣿⡆⠀⠀⠀⢿⣿⣶⣜⡲⢦⣙⣮⣿⣼⣥⢯⣽⣿⣭⣛⣿⡹⢿⣿⢻⣿⣿⡷⣩⣻⣷⣄⡀⠀ ⢰⣿⣿⣟⣻⢟⣯⣿⣭⣟⣿⣿⣿⣉⢮⣝⡹⠿⢋⣼⡥⣿⣞⢦⡓⣎⣿⣿⣿⣇⠀⠀⠀⢸⣿⣿⣿⡿⣷⣾⣿⣿⣿⣟⢲⣼⣯⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣭⣯⣿⣿⡄ ⠠⣿⣿⣷⣿⣎⣾⣿⣿⣿⣿⣿⣿⣽⣾⡿⣿⣿⣭⣞⣹⣿⣿⣾⠽⣹⣿⣼⣿⣿⡄⠀⠀⢸⣿⣛⠿⣿⣷⣯⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀ ⠀⢻⣿⢯⣛⢿⣻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣯⣽⣿⣿⣿⣿⣿⣿⣟⣻⣿⠀⠀⠀⢸⡿⣎⢟⡶⣹⠿⣿⣛⣟⡻⣛⠯⢯⡝⢿⣳⡖⣼⣿⡟⣿⢛⣯⢻⡥⣻⣿⡇⠀ ⠀⢸⣿⣧⣛⢮⡝⣯⢻⢵⡻⣟⣿⣿⣆⢷⣚⢟⡟⡿⣟⡻⢯⢿⣟⣷⣯⣾⣽⣿⠀⠀⠀⢸⣿⡜⣎⠶⣩⢏⡽⣓⢮⡵⣩⢞⡱⢎⡣⠿⢿⣻⣿⡽⡶⣿⢿⡻⣿⣿⣿⡆⠀ ⠀⢸⣿⣿⣬⢣⠽⣌⣛⢮⡵⣹⢿⣿⣏⠶⣩⢎⡽⣲⢭⡝⣯⣿⣟⣿⢿⡹⢾⣿⠀⠀⠰⢺⣿⣏⠷⣫⢖⡭⡶⣍⡞⣶⡹⣎⡳⡽⣸⣙⢦⣹⣿⣏⢷⡹⣞⢿⡿⣿⣿⡇⠀ ⠀⠀⣿⣿⣿⣾⡷⣹⢎⡿⣾⣱⣻⣿⣿⢣⣛⣬⠳⡭⣞⡽⣻⣛⢯⣎⢧⡻⡽⣿⡀⠀⠀⢸⣿⡽⣷⢣⢏⡽⡱⢯⡝⣶⡹⢎⡵⣳⡱⢎⡧⢽⣿⢮⡳⣝⣮⣗⣯⣿⣿⡇⠀ ⠀⠀⣿⣿⣿⣿⣷⣿⣾⣹⣧⠷⣽⣿⣿⡧⡹⣌⢷⡙⣶⣙⢶⣹⢞⡼⣲⢭⣿⣿⠁⠀⠀⢸⣿⣼⣻⣯⡞⡴⣙⠮⣜⣲⢭⠳⡼⣱⢭⡛⣜⣣⣿⣯⣷⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠘⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣷⡹⢞⡲⡝⢮⡝⣮⣛⠮⣵⢫⣾⣿⡏⠀⠀⠀⣸⣿⣷⣯⢿⣿⣿⣬⢳⠞⣜⢮⡹⢵⡭⢞⣽⣜⣷⣿⣿⣿⢿⡿⣿⣿⣿⠃⠀⠀ ⠀⠀⠀⠘⢿⣿⣿⣿⣜⣻⣿⣿⣿⣿⣿⣿⡱⢿⣜⡹⢦⣹⡒⢯⢳⣾⣿⣿⣿⠁⠀⠀⠀⢸⣿⣿⣿⣟⣾⢿⢿⡿⣿⣼⡲⣽⣣⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⢿⣿⢿⡿⣿⢿⢿⣿⣿⣿⣿⣮⣓⣏⣶⣩⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣳⢻⣿⣿⡿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣷⣾⣿⣼⣷⣞⣧⣯⣿⡿⣿⣿⣿⣿⡟⡿⢯⣻⣭⢿⣿⡷⠀⠀⠁⠀⢸⣿⢧⡻⡼⣿⣿⣷⣏⢶⡹⢶⣩⠿⣽⣻⢿⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⢿⡻⣟⠿⡿⣿⣿⣿⣿⣿⣾⣿⢞⡽⣯⠵⣮⠿⣿⡧⠀⠀⠀⠀⢸⣿⢧⣛⣵⢫⣿⣿⣿⣮⡝⣧⢏⡿⣜⢧⣿⣿⣟⢯⣝⡯⢾⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡿⣿⡟⣮⢳⣭⡻⣵⠳⢮⡝⣯⢟⡿⣟⣯⣟⡮⣟⣼⣫⣿⣟⠀⠀⠀⠀⠸⣿⢧⡻⣜⣯⣶⣻⣿⣳⡽⣎⢯⡖⣿⣾⣿⢻⡜⣯⢞⣽⣻⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣷⣣⣟⡼⣣⢯⡝⣶⢫⠷⣹⢎⣻⢼⡹⣖⣯⣷⢿⡿⣿⣿⣯⠀⠀⠀⠀⠈⣿⣯⢳⡝⣶⡹⣿⣿⣷⣻⡜⣯⡞⣽⣛⡼⣣⢟⡬⣻⠼⣽⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣽⣟⡻⢻⣶⡹⣞⠼⣒⡏⡯⢵⣫⢎⠷⣹⢳⢮⡝⣮⢳⡧⣿⣟⠀⠀⠄⠀⠀⣿⣯⢳⡝⣶⢫⡽⣿⣿⣿⣽⢲⡟⣶⡹⡖⣝⡎⡶⢭⣻⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢽⡧⢏⡳⢎⡵⣫⢞⡱⣏⠳⣏⠶⣋⠾⣱⢋⠾⡼⣱⣷⢿⣿⣿⠀⠀⠄⠀⠀⣿⣯⣳⡝⣮⢻⡼⣏⣿⣿⣯⣷⢻⡵⣫⡝⡾⢼⣹⢳⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢼⣿⣍⢳⠻⡼⡱⢎⡗⢮⡹⣌⠳⣍⡞⣥⣋⠷⣹⣾⣯⣿⣿⣿⠃⠀⠄⠀⠰⣿⡷⢧⣛⣾⢣⡿⣜⣳⣯⣿⣯⣷⣹⢧⡻⣝⢧⢯⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣷⣎⢧⡛⣴⢫⡝⣚⢧⡗⢮⡛⡵⣚⡴⡭⢾⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⣿⣟⣯⢳⡞⣯⢞⣭⢷⣫⣿⣿⣿⢧⣏⢷⣫⢞⣭⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣶⣽⡶⢭⣚⡭⢶⡹⣇⠿⣱⣯⣜⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠘⣿⣿⡼⢯⣽⣚⢯⣞⢯⣗⣯⣷⣿⣳⢮⣳⡝⣮⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣧⣟⡼⣣⢗⣮⢛⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡷⠀⠀⠀⠀⢘⣿⢿⣿⣏⡶⢯⣛⣮⣟⣮⢷⣫⢿⣽⣣⢷⡹⣶⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣜⡯⡽⣿⢟⡯⣗⣮⢷⡹⣞⣽⣟⠀⠀⠀⠀⢨⣿⣟⢾⣿⣯⢯⡽⣖⢯⣞⣯⣽⣻⢮⡽⣞⢷⡻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣾⡽⣿⢿⣻⢿⡿⣿⣿⣿⣵⣏⡾⣱⢏⣞⢧⣻⡽⣾⣟⠀⠀⠀⠀⢸⣿⣞⡯⣞⡽⡾⣽⡞⣟⣮⢷⡾⣝⣯⢿⡽⣫⢷⡿⣿⢿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⡽⣻⢿⡯⣟⢯⡝⣧⣛⡼⣻⡼⣽⢧⡻⣞⡧⣷⣿⣻⣿⠀⠀⠀⠀⢸⣿⡾⣽⣏⣷⣻⢶⣻⡽⣺⡗⣿⡽⣞⣻⠾⣝⣳⠿⣭⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣏⢷⡽⢮⡵⣫⢶⣹⣶⣽⣾⡿⣽⣞⣯⡷⢯⣳⢟⡾⣽⣿⠀⠀⠀⠀⢸⣿⣽⣳⣟⣾⣳⢯⣷⣛⣷⡻⣵⣻⡽⣏⡿⣽⡹⣟⣳⢿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⣾⣿⣿⣿⣷⣯⣿⣿⣻⣯⢿⣽⣳⢯⡿⣽⢯⣟⡾⣽⣳⣿⠁⠀⠀⠀⢸⣿⣿⣷⣻⢾⣭⢷⡾⣽⢶⣻⢷⣭⢷⣻⣽⣳⢯⣝⣟⣾⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣛⢿⡻⣿⢿⣿⣿⣿⣿⢿⣻⢿⣞⡿⣯⢿⣽⣻⢾⣽⣳⣿⣿⠀⠀⠀⠀⢸⣿⣻⣿⣿⣟⣾⢯⣟⡾⣯⣟⡾⣭⢿⣱⢯⣷⢻⣞⡾⣽⣿⣿⢿⣇⠀⠀⠀⠀ ⠀⡀⢀⣾⣿⣿⣜⡳⢯⣳⢯⣻⣽⣻⣿⣿⣿⣯⣿⣿⣿⣿⢿⣯⢿⣷⣿⣿⡗⠀⠀⠀⠀⠈⣿⣻⢼⡻⢿⣹⣛⡾⣽⣳⢯⡾⡽⣯⡟⣟⣾⣻⣞⣽⣿⣿⢯⣛⣿⣧⡀⠀⠀

𓆝 𓆟 𓆞 𓆝 𓆟໒꒰ྀི´ ˘ ` ꒱ྀིა✩°｡⋆⸜ 🎧✮ʚɞ °｡⋆ ⸜ 🎧♥️

⠀⠀⠀⠀⠀⠀⢀⣀⣔⢖⠴⠶⠼⠟⡿⢷⢶⢲⣦⡆⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣔⡂⠁⡀⡘⢉⠀⠀⠀⠈⠁⠁⠽⣤⢬⡻ ⠀⠀⠀⠀⢰⡟⣷⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣽⠟⢹⢻⢻⠿⣿⠿⠷⢯⣿⡟⠙⣧⣿⣇⠀⠀⠀⠀⠀⢸⡇⣿⡍⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠡⠀⢸⣼⣾⠀⡏⢆⠀⠀⠓⡜⡆⠈⣷⡔⠋⠁⣀⣀⡀⣸⡇⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠃⠀⠀⠀⠀⠘⡇⠱⡴⠃⠀⠀⠀⠏⠀⠘⣿⠋⠉⠉⠉⠉⠙⠇⠈⠻⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⠀⠀⢴⣀⣀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠁⠀⠀⠀⠀⠀⠀⠀⢘⡿⠫⣩⣹⣷ ⠀⠀⠀⠘⣆⠀⠀⠈⠉⠁⠀⠀⠀⠀⠉⠉⠉⠀⠀⢠⣿⠈⠀⠀⠀⠀⣀⣀⣠⣤⡶⠷⠿⠛⠉⠁ ⠀⣀⣶⢟⠉⠳⢤⣀⣀⣀⣀⣀⣀⡀⠀⠀⣀⣠⣾⣿⣅⣴⣶⠾⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣏⣀⣴⡶⠶⠟⠛⠉⠉⠉⠛⣿⣿⠛⢛⣹⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣋⣠⢿⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⢀⣤⡄⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⢀⣀⡀⢀⣀⣀⠀⢀⣀⡀⣀⣀⠀⠀⠀⣿⣿⢈⣛⡃⣿⣿⢀⣀⡀⢀⣀⣀⠀⠀⠀⠀⢀⣀⣀⣀⡀⢀⣀⣀⡀⢀⣿⣯⣀⣿⣿⡈⣛⡃⢀⣀⢀⣀⠀⢀⣀⣀⣀⡀⠀⠀⣀⣀⠀⣀⣀⠀⣀⣀⡀⠀⣀⣀⢀⣀⡀⣀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⡀⠀⠀⢿⣿⢸⣿⢡⣿⡟⢻⣷⢸⣿⡇⣿⣿⠀⠀⠀⣿⣿⢸⣿⡇⣿⣿⣼⡿⢡⣿⣏⣻⣷⠀⠀⠀⣿⡿⢻⣿⡅⣾⣟⣹⣷⠘⣿⡿⠛⣿⣿⠣⣿⡇⢺⣿⢻⣿⡇⣾⣿⢻⣿⡇⠀⠀⢹⣿⣤⣿⠇⣾⣿⢻⣿⡆⣿⣗⢸⣿⠄⣿⡿⠟⠀⠀⠀⠀⢀⠀⠀⢀⠀ ⠀⠈⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠇⠘⣿⣧⣼⣿⠸⣿⣇⣿⡿⠀⠀⠀⣿⣿⢰⣿⡇⣿⣿⢻⣷⡘⣿⣏⣩⣭⠀⠀⠀⢿⣿⣼⣿⠆⣿⣏⣩⣭⠀⣿⣟⠀⣿⣷⠐⣿⡇⢺⣿⢐⣿⡇⢿⣿⣼⣿⡇⠀⠀⠀⢿⣿⡟⠀⢿⣿⣸⣿⠇⣿⣧⣼⣿⠂⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⠈⠛⠙⠁⠀⠉⠛⠋⠁⠀⠀⠀⠉⠉⠈⠉⠁⠉⠉⠈⠉⠃⠈⠛⠋⠁⠀⠀⠀⢤⣭⣸⣿⠃⠈⠛⠋⠁⠀⠙⠑⠀⠉⠃⠈⠉⠃⠘⠉⠀⠋⠁⢤⣭⣸⣿⠃⠀⠀⠀⣸⣿⠁⠀⠈⠙⠛⠉⠀⠈⠙⠛⠁⠀⠙⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠀⠄⠀⠀⠀⡀⠄⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠀⠀⠀⡀⠀⠀⠀⠀⠀⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⠀⠀⠀⠀⠀⢠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠀⠀⠀⠄⠀⠀ ⠀⠄⠀⠀⠠⠀⠀⢀⣀⠀⠀⣀⣀⠀⠀⢀⣀⡀⣿⣟⠀⠀⡀⠀⠀⢀⢀⣀⠈⢐⣶⡆⠀⠀⠀⡀⠀⣀⣀⠀⠠⣿⣏⠀⠀⠀⢀⣀⡀⠀⠀⣀⡀⣿⡷⠀⠀⠀⢀⣀⢸⣿⡇⠀⣀⣀⠀⠀⡀⡀⢀⡀⢘⣯⠀⣶⣇⠀⠀⠀⢀⠀⠀⡀⠀⡀⣀⡀⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⡿⢂⣿⡟⢿⣷⢰⣿⡿⠇⣿⣟⣼⡿⠀⠀⠀⢸⣿⡛⠋⠿⣿⡿⢸⣿⡾⠇⣾⡿⢻⣿⡄⣿⡧⣾⡟⢰⣿⣛⣿⣆⢸⣿⠟⣿⣯⠀⠀⠀⣿⡿⢻⣿⡇⣾⡿⢻⣿⡀⣿⡿⢿⣿⠈⠁⠻⣿⡿⠃⠀⠈⣿⣧⢸⣿⢡⣿⡟⣿⣷⢸⣿⠇⣿⡿⠀⠀⠀⠀⡀⠄ ⠀⠀⠀⠠⠀⠀⢻⣿⣄⠸⣿⣇⣼⣿⢸⣿⣇⡀⣿⡿⢿⣧⠀⠀⠀⢈⣙⣿⣷⠨⣿⡇⢸⣿⠇⠀⣿⣷⣸⣿⠇⣿⡟⣿⣧⢸⣿⣉⣭⡍⢹⣿⣀⣿⡷⠀⠀⠐⣿⣧⣸⣿⡇⣿⣧⣸⣿⠇⣿⡇⢼⣿⠀⠀⠀⣿⡇⠀⠀⠀⠸⣿⣿⠇⢸⣿⣇⣾⣿⢸⣿⣇⣿⣟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠛⠁⠙⠛⠛⠁⠀⠙⠛⠃⠛⠛⠘⠛⠃⠀⠀⠙⠛⠛⠁⠈⠛⠃⠘⠛⠃⠀⠈⠛⠛⠋⠀⠛⠓⠘⠛⠃⠙⠛⠋⠁⠈⠛⠋⠛⠋⠀⠀⠀⠙⠛⠙⠛⠃⠈⠛⠛⠋⠀⠛⠃⠘⠛⠀⠀⠀⠛⠃⠀⠀⠀⠀⣿⡟⠀⠀⠙⠛⠛⠁⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠐⠀⠀⠀⠐⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⠠⠀⠀⠠⠀⠀⠠⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠂⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠄⠐⠀⠁⠀⠀⠀⠀⠠⠀⠀⠀⢀⠀⠀⢀⠀⠄⠀⠀⠄⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠈⠀⠀⠀⠂⠀⠀⠂⠀⠀⠂⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠂⠀⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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