Buzz (Brawl Stars) Emojis & Text

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠄⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠙⡶⠁⠀⠀⠀⣧⠔⠒⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⡇⠀⠀⠀⠀⡏⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡔⠒⡶⠚⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠼⠒⠛⠒⠒⠤⢼⣀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⢧⡞⣹⠿⣹⣿⡖⢲⡄⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⡘⠀⠀⠀⠀⠉⢲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣿⣍⡥⢿⢿⡋⢙⠋⣇⠀⢠⡟⢁⣴⠾⠷⢦⡀⢰⠁⠀⢀⣀⣀⠀⠈⢻⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠸⢿⣾⠉⡹⢥⠀⢱⡜⢠⣿⣯⡟⠀⢸⠁⠀⠀⢈⠇⡜⠀⡼⠋⠉⠻⣷⠀⠈⣇⢗⢲⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣷⡷⠮⠴⠯⠀⢀⡽⣿⠃⠀⠘⠒⠒⠒⠋⠀⠀⠀⠧⠤⣄⣀⡹⠀⠀⢸⢸⡉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⡄⠀⠀⠀⡎⠀⣿⠀⠀⠀⢰⠿⠻⢵⣢⣤⣤⣤⣤⠀⠀⠀⠀⠀⢸⢀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠢⣄⡀⡅⢸⡇⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⣹⠃⠀⠀⢀⣠⣴⣾⢧⡀⢀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⣧⠀⠀⠀⠀⠘⠦⢀⣀⣀⡠⠞⠁⠀⠀⢠⢋⢴⠟⠉⠉⢹⣋⣷⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢸⠸⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢇⢸⢈⠀⠀⠀⠀⠀⠈⢻⡁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠸⡀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⢸⠘⡀⢇⠀⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⣧⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⡆⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣐⣿⣆⡀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⣀⣠⣼⠃⠸⢀⡇⠐⡆⠀⢀⢀⠸⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⡗⠪⠷⠒⢶⣶⣶⣦⣈⣀⣾⠟⠛⠉⠉⠲⠗⢺⠳⢴⣃⣠⢏⣼⣰⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠤⠄⣀⣀⣀⣀⡬⠿⠿⠧⣄⣀⣀⣀⠠⠤⢻⠀⠀⠀⠈⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠓⠀⠀⠀⠀⠀⣹⠄⠀⠀⠀⢻⠂⠀⠀⠀⠀⠛⠳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠢⠤⠤⠤⠐⠚⠁⠀⠀⠀⠀⠈⠑⠒⠤⠤⠤⠴⠚⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢄⡠⠒⠂⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠈⠁⢨⠀⠀⠀⠀⠀⠀ ⠀⣰⡩⢯⢷⣄⣀⠀⠀⣠⠔⠊⠉⢩⠀⠒⠢⡁⠀⠀⠀⠀⠀⠀ ⠈⣷⣭⣕⠿⡑⢎⣀⡞⣡⠖⠲⠀⠆⢀⣄⠀⠩⢆⠀⠀⠀⠀⠀ ⠀⠙⣧⠭⣢⠋⢘⣿⠃⠧⠤⠴⠀⠀⣁⡀⡅⠀⠛⡟⠀⠀⠀⠀ ⠀⠀⠀⠣⡀⠀⠆⣶⠀⠰⠛⠃⠶⠶⠶⡄⠀⠀⣀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠑⡇⣧⠀⠀⠡⢀⣀⡀⠔⠀⡀⣊⠟⠛⣖⣆⡀⠀ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⡄⠀⠀⠀⠃⡹⠀⠀⠀⠈⢃⠀ ⠀⠀⠀⠀⠀⠀⡘⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢁⠀⠀⠀⠰⠀ ⠀⠀⠀⠀⠀⠀⠙⠥⡆⣤⡀⣀⢈⠀⣤⠶⠻⠄⡴⣸⠀⡔⢎⠇ ⠀⠀⠀⠀⠀⠀⠀⢀⡇⠤⠄⢠⠽⠿⢥⠤⠤⠐⣇⠀⠉⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠠⠜⠀⠀⠈⠣⠄⠀⠠⠃⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀ ⢠⣿⣿⣶⣄⣤⣤⣤⣶⣶⣾⡿⠋⠀⠀⠀⠀⠙⢿⣷⣶⣶⣤⣤⣤⣠⣶⣿⣿⡄ ⢸⣿⣿⣿⣿⣿⡟⠉⠉⠉⠉⣠⣶⡶⠿⠿⢶⣶⣄⡉⠉⠉⠉⢻⣿⣿⣿⣿⣿⡇ ⠀⢻⣿⣿⣿⣿⣧⠀⠀⢠⣾⠋⢠⣤⡀⢀⣤⡄⠙⣿⡄⠀⠀⣼⣿⣿⣿⣿⡟⠀ ⢠⣶⣽⣿⣿⣿⣿⡇⢀⣿⠃⢀⣠⣉⠁⠀⣉⣄⡀⠈⣿⡄⢰⣿⣿⣿⣿⣯⣶⡆ ⢸⣿⣿⣿⣿⣿⣿⡇⠸⣿⠀⢺⣿⣿⠇⠸⣿⣿⡟⠀⣿⠇⢸⣿⣿⣿⣿⣿⣿⡇ ⠀⢿⣿⣿⣿⣿⣿⠃⠀⢻⣷⣄⡈⠀⠘⠃⠀⠁⣠⣾⡟⠀⠈⣿⣿⣿⣿⣿⡿⠀ ⠀⠈⠻⣿⣿⣿⡏⠀⠀⠀⠙⢿⣷⣤⣤⣤⣤⣾⡿⠋⠀⠀⠀⣸⣿⣿⣿⠟⠁⠀ ⠀⠀⠀⠈⠻⢿⣿⣿⣿⣷⣶⣄⠀⠉⠉⠉⠉⠀⣠⣶⣾⣿⣿⣿⡿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⠿⠿⠿⠿⢿⣿⣷⣄⠀⠀⣠⣾⣿⡿⠿⠿⠿⠿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⡤⠔⠒⠒⢌⡛⠒⢦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠚⠁⠀⣀⡠⠒⠚⡄⠑⠀⠈⠳⡄⠀⠀⠀ ⠀⢀⡞⠁⠠⠦⠀⠀⠀⠀⠸⠠⠀⠀⢀⠤⠜⣆⠀⠀ ⢀⡎⠀⠀⠡⡀⠀⠐⠂⠀⠈⠀⠀⠀⣁⠀⣀⣸⡆⠀ ⢸⠀⡤⡀⠀⡧⠀⠀⠀⠀⠠⠤⠀⠨⠀⠀⠀⠀⢧⠀ ⠀⢧⠀⠈⢀⠆⣤⣤⣶⣶⣦⣤⠁⢀⠔⣢⣴⣶⢨⠇ ⠀⠘⡆⡄⠀⠀⣿⣿⣿⣿⣿⣿⡆⠀⣼⣿⣿⣿⡏⠀ ⠀⠀⢻⠀⠇⠀⠙⢿⣿⣿⡿⢿⠀⠁⠻⠿⠿⢿⡅⠀ ⠀⠀⢈⡷⢼⠈⢈⣀⠠⠀⠐⠊⢀⣾⡟⣦⠤⠼⠁⠀ ⠀⠀⠘⣆⠅⣽⠉⠘⡆⠆⠀⢀⠛⠓⡁⢻⠀⠀⠀⠀ ⠀⠀⠀⢺⠐⠙⢦⢀⡧⣈⣘⣈⣀⣢⣣⣾⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⢌⠈⠛⢷⣓⡜⢤⠧⡗⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠉⠍⠉⡀⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⠤⠴⠚⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠦⠴⠤⠀⠤⠤⠆⠤⠤⠄⠰⠀⠲⠴⠦⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⡑⢄⡀⠀⠀⠀⠀⠀⠀⢀⡴⣪⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣽⡨⠆⠉⠊⠉⠀⠈⠉⠐⠉⠮⣰⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀ ⠀⠀⠐⠠⠄⡀⡈⠀⠀⡰⠂⡄⠀⠀⠀⠀⡔⢢⡄⠀⠘⣀⡀⠤⠒ ⠀⠀⠠⠤⠤⠤⡯⢥⡆⠑⠛⠁⢀⣻⣃⡀⠙⠛⠁⣶⢭⡧⠤⠤⠤ ⠀⠀⢀⡠⠄⠒⠙⡅⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⡝⠁⠒⠠⠄ ⠀⠀⠀⠀⠀⠀⠀⡨⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀ ⢀⠖⠐⢢⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⡆⠀⠀⠀⡄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⢡⠀⠀⠀⡇⢡⠀⠀⠰⡄⠀⠀⠀⠀⡀⠀⠀⠀⡆⠀⠀⢠⠓⡀⠀ ⠈⡄⠀⠀⠸⡀⠣⡀⠀⡇⠀⠀⠀⠀⡇⠀⠀⢠⠁⠀⡠⡇⠀⢡⠀ ⠀⠈⢄⠀⠀⠑⢄⠈⠢⢴⡀⠀⢠⠀⡇⠀⠀⣌⠠⠚⣡⠃⠀⣸⠀ ⠀⠀⠀⠳⣀⠀⠀⠑⠂⠤⢙⣛⡋⠉⢙⣣⣊⠀⠤⠊⠁⠀⡠⠃⠀ ⠀⠀⠀⠀⠀⠑⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠐⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠒⠂⠀⠀⠐⠒⠂⠉⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣠⣤⣽⡿⣿⢿⡿⣿⢿⡿⣿⢷⣦⣤⣀⡀⠀⢉⡩⢽⣿⢿⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣻⣽⡳⣟⡽⡾⣝⣾⢫⢷⣫⡟⣾⡹⢿⡽⣷⣉⠀⢸⣯⣳⡿⡽⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡷⣯⡷⣯⢿⣽⡿⠛⠋⠉⠉⠛⠳⢿⣳⣟⣯⡽⣯⣟⣷⣼⡷⣯⢷⡿⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣿⣿⢿⣽⣿⡿⠃⠀⢿⣿⣷⣾⣿⠧⠀⠹⣿⢾⣽⣳⣟⣾⡽⣿⣷⣫⡿⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣟⣿⣾⣿⣿⣽⠇⠀⠀⣴⣿⡿⢿⣿⣦⠀⠀⢹⣿⡷⣿⢾⣯⣿⣟⣷⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡖⠛⣿⣿⣿⣿⣯⣿⣾⣿⣿⠀⠀⣠⢨⣭⡄⣤⣭⡅⡀⠀⢸⣿⣿⣻⣿⣽⣾⢿⣻⡿⢤⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣿⣽⠚⠉⠉⠀⣨⣽⠻⢿⣿⣿⣿⣽⣿⡅⠰⣿⢸⣿⡇⣿⣿⠆⣿⠀⣼⣿⣿⣽⣯⣿⠿⢿⣻⠓⠒⠛⠒⢶⣲⣄⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⣯⣿⣶⣶⣿⣿⣾⣽⣦⡈⢻⣿⣿⣿⣿⣄⠛⢸⡿⡇⢿⠿⠞⢋⣰⣿⣿⣯⡿⠋⣤⣾⣿⣭⣷⢦⣤⣴⣿⣷⣾⣷⣄⠀ ⡴⢫⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠰⠉⢻⣿⣿⣿⣷⣦⣤⣤⣤⣴⣶⣿⣿⣿⡟⢋⡗⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⠣ ⢿⣶⡹⣯⢿⣿⣿⠿⣟⡿⣿⣿⣿⢿⢯⣽⠣⣤⣾⣿⣿⣿⣿⠿⢿⣿⡿⠿⣿⣿⣿⣿⣧⣼⡘⣿⡽⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⠿⡼⢁ ⠀⠉⢿⣽⣻⣶⣿⣿⣻⣟⣿⡾⣷⣿⢟⣣⣿⡟⣿⣿⡇⠸⣿⣆⡀⠛⢀⣴⣿⠇⣼⢋⡙⢻⣿⡝⣿⣷⣭⣿⣼⢿⣻⣾⣽⣯⡽⡟⣴⠛ ⠀⠀⠀⠉⠳⣿⣿⣾⣷⣿⣾⣿⣽⢿⡚⣿⢭⡿⣿⢿⡧⣠⣌⣻⠿⢿⠿⣟⣡⣀⣼⠶⡼⡶⢛⡟⢳⣯⣿⣿⣽⣯⣷⣯⣟⣿⡷⠟⠁⠀ ⠀⠀⠀⠀⢀⡽⠿⢿⣿⢿⣿⣿⣿⠛⣻⢣⡾⣝⢲⡍⡖⣡⠞⣥⢛⡌⡞⡌⢧⢻⡌⡳⣡⠝⣦⢛⣿⠿⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀ ⠀⠀⠀⢀⣸⠇⠀⠈⣿⣾⣭⢟⣽⣶⣋⣾⢣⡝⣮⠵⣡⠫⡔⣏⢮⡱⢅⡳⣜⡸⣧⠣⣏⠴⣩⠞⣻⣀⢿⣟⢯⣽⣿⡟⠉⢨⣆⠀⠀⠀ ⠀⠀⠀⢿⡟⡆⠀⠀⠈⢹⣟⡾⣿⣿⣜⣣⠯⣜⠶⡹⣄⠻⡜⣜⣣⠞⡱⡜⢦⡱⣋⠶⣩⢎⡕⡺⣍⣿⢺⡽⣞⣿⠉⠀⠀⠹⣾⠀⠀⠀ ⠀⠀⠀⠈⣧⢣⠀⠀⠀⣿⣿⣽⣿⣿⣧⣽⣾⢭⢯⣵⣮⣷⣽⠬⡧⠯⠵⠭⢧⢧⠽⠮⢵⣮⣼⣵⣮⠾⣿⣿⡽⣿⡇⠀⠀⠀⡿⠀⠀⠀ ⠀⠀⠀⠀⠹⣎⠀⠀⢸⣿⡿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠉⡵⠊⠑⢌⠉⡩⠊⠉⢢⠈⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⡀⠀⣰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠺⠷⢾⠋⢹⡀⠀⠀⠈⠁⢂⠀⠀⠀⠳⣀⠀⠀⠉⢀⠀⣠⠞⠀⠀⠀⡰⠈⠁⠀⡔⠀⠈⡹⡟⠞⠓⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⣨⡱⡄⢦⣀⣀⣨⠇⠀⠀⠀⡹⠲⣀⠀⠀⠙⢅⠀⠀⠀⠐⣇⣀⣀⡜⠀⠀⣰⣡⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣷⣹⢦⡙⠛⠃⠀⠀⠀⣎⠀⢀⣩⠷⣄⡀⠀⢱⠀⠀⠀⠘⣻⠋⠀⢠⢻⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣮⣷⣄⣀⣀⣀⣀⣜⣿⣛⣡⣀⣌⣻⣿⣁⣀⣀⣀⣴⣁⣤⣀⡥⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⢿⣿⡿⠿⠿⠿⢿⣿⣿⢯⣿⢿⣿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⣿⣾⣭⣿⣇⠀⠀⠀⣸⣿⣾⣿⣾⣿⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡽⣾⣽⣻⣟⣿⠀⠀⠀⣿⣿⣟⣯⢷⣻⢾⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⣯⣷⣿⡿⠃⠀⠈⢿⣿⣯⣿⣯⣿⣿⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠒⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠤⠤⠤⠵⣄⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠓⠤⢀⣀⣠⠤⠷⠦⠤⠬⣦⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀ ⠀⠀⣠⡀⣰⠃⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀ ⣿⣮⣿⣷⠃⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣷⣶⣤⣠⣤⣶⣾⣿⣿⡇ ⠉⢭⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⣽⡏⣟⣿⡍⠁⠡⠀⣷ ⠀⠈⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⢀⡠⠚⠉⠑⢤⡔⠁⠀⡇ ⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣎⣀⡀⠀⠀⠀⠙⣄⣰⠃ ⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⢉⠝⠋⣹⠃⠀ ⠀⠀⠀⠀⠀⠈⠓⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠚⢁⡤⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠦⠤⠤⠤⠤⠴⠖⠚⠉⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣚⣿⡿⣿⡆⢸⠛⠛⠳⣄⠀⠀⢠⠞⠁⠀⠀⠈⢣⡴⠛⠙⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡇⠸⠿⣥⠀⣿⠀⣾⠀⠀⠀⠘⡆⢠⡏⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠙⠳⣄⣈⠉⢁⡼⠁⠀⠀⠀⠀⣳⠟⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⢉⣹⣽⣶⠾⠛⠛⠛⠋⠉⠉⠛⠒⠒⠦⢤⣼⡁⠀⠀⠀⣀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠉⠓⢦⡀⠀⠀⠀⢳⡀⠀⠀⢀⣠⣶⣟⡯⠟⠛⠉⠉⠛⠲⣤⠀⠀⠀⠀⠀⢀⣀⣤⣭⣓⣶⣞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠹⣄⢠⣿⢟⡵⠉⠀⠀⠀⠀⠀⠀⢀⣬⣧⠀⠀⠀⣴⣫⠁⠀⠀⠈⠙⠻⣷⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⢿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢈⡟⢡⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⣼⠀⠀⣸⢽⣿⡆⠀⠀⠀⠀⠀⠈⢻⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡇⠀⠈⠉⠉⠉⠉⠓⠲⢤⡀⠀⠀⣿⠀⠀⠀⢠⡟⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠛⣻⠇⠀⠀⢿⡼⣿⠇⠀⠀⠀⠀⠀⠀⠀⢷⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⣰⠃⠀⠀⢠⠟⠀⠀⠀⠙⢦⣄⣀⠀⢀⣀⣠⡴⠞⠁⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⣀⣠⡟⠀⢳⡀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⣄⣀⣀⣀⡤⠏⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠓⠒⠒⠒⠒⠋⠁⠀⢀⡼⠉⠉⠳⢤⣀⠙⠦⣄⡀⠀⠀⠀⠀⢀⣠⠤⠒⠒⢺⠳⢤⡀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⣠⢹⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⢀⣭⣷⣦⣄⠉⠉⠒⠒⢺⡏⠀⠀⠀⠀⠘⠀⠀⠉⠓⠦⣤⣀⣀⠀⠀⠀⠀⣀⣠⢾⣧⢼⠋⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⠀⢼⣻⣿⡇⣿⣇⠈⠛⠦⣄⡀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠈⠉⠉⣉⣩⠽⠛⠁⡠⡴⣤⡀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠈⠙⢦⣼⣈⣿⡿⠿⠏⠀⠀⠀⣀⣭⡗⢮⣷⣄⡀⠀⠀⠀⠀⢀⣰⠟⠀⣀⡤⠶⣻⣏⡀⠀⠀⠀⣇⣿⠛⡇⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠁⠀⠀⠀⠀⠀⠈⠛⢯⣀⠀⠀⠀⠸⣿⣿⣷⣿⠄⠈⠙⣿⠿⡓⠛⠛⠛⠶⣖⠉⠁⠀⢰⣿⠋⡹⡄⠀⠀⠈⢛⣿⡷⠋⠈⠓⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣄⡀⠿⢿⣿⡏⠀⣰⠻⣥⠖⠋⠉⠉⠉⠓⢮⡳⣄⠀⠸⣿⣿⣿⠇⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣥⣁⣠⣾⢃⡞⠁⣠⠞⠳⠶⠛⣄⠀⢳⣹⡆⢀⣩⡿⠟⠋⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀ ⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⢀⣠⠤⠚⠋⠁⣿⢸⠀⠀⣿⠄⠀⠀⠀⣞⠁⠈⡇⡿⠛⠧⣄⡀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀ ⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⣀⠤⠚⠉⠀⠀⠀⠀⠀⠻⡸⡆⠀⠳⣄⣠⣄⣀⠼⠁⣸⢻⠇⠀⠀⠀⠉⠛⠦⢄⡀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀ ⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣝⢦⣀⠀⠀⠀⠀⣠⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠉⠉⠙⠺⠭⠭⠭⠽⠓⠋⠙⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠙⣄⠀⠀⠀⠀⢀⡠⠔⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⢤⣀⠀⠀⣠⠾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠈⠧⣀⣴⡚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠟⠚⠁⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⢹⣀⠀⠀⠀⠈⠳⣄⣀⣸⠇⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠘⢦⣀⣀⠄⠀⠀⠀⠀⢀⠏ ⠀⠀⠀⠀⢻⣷⣄⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⣀⣠⠤⠤⠶⠶⠶⠒⠒⢺⠛⣿⠛⠛⠛⠛⠛⠛⠛⠲⠦⠀⡞⠀⠀⠀⠀⠀⠀⠀⠘⣏⠀⠀⠀⣠⢦⠎⠀ ⠀⠀⠀⠀⠀⠙⠾⣗⣶⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡼⠗⠒⠲⠦⠀⠀⠀⠀⠀⠈⣇⡇⠀⠀⠀⠰⠖⠋⠉⠉⠲⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⣶⣺⠵⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⡿⣧⣀⣀⣀⣀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢙⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⠹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢓⠻⡟⡟⠀⢻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡟⠀⠀⠄⠀⠀⠀⠀⠀⢇⠀⠀⡄⠸⣦⠬⡄⠀⢡⠀⠈⡌⢿⣿⣿⣿ ⣿⣿⣿⣿⡣⠀⢰⠠⠀⢀⠘⡀⠄⡏⢶⡄⢰⡠⠼⣆⣐⡄⠈⡤⠀⣅⠈⣿⣿⣿ ⣿⣿⣿⡿⡇⠀⠸⡆⠀⢸⠊⣧⣒⣇⠈⢿⢌⡝⢻⣿⣿⡏⠀⡇⢈⡇⠀⢻⣿⣿ ⣿⣿⣿⡇⢹⡄⠀⣷⠀⠀⣾⠛⣿⣿⡆⠈⠀⠀⢰⣿⢛⣼⠀⢡⣾⡇⠀⢸⣿⣿ ⣿⣿⣿⠀⠀⣷⡂⠸⡀⠀⢸⣠⣌⣿⡇⠀⠀⠀⠀⠀⠁⣸⠀⠘⣿⡇⠀⢸⣿⣿ ⣿⣿⣿⠀⠀⢿⣿⣦⡇⠀⠸⣏⠋⠉⠀⠀⠈⠁⢀⣠⣾⣿⡄⡀⣿⡇⠀⠈⣿⣿ ⣿⣿⣿⠀⠀⢸⣿⣿⣷⢠⠀⣿⣿⣶⣶⣶⡶⠟⠋⠘⡻⣿⣷⣳⣿⡄⠀⠀⣿⣿ ⣿⣿⣿⠀⠀⠀⣿⣿⣿⡌⡆⢿⣿⣿⣽⣾⠀⠀⠀⣰⣿⣷⣾⣯⣿⡃⠀⠀⢻⣿ ⣿⣿⡏⠀⠀⠀⢹⣿⣿⣷⣸⣼⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣷⡇⠀⠀⢸⣿ ⣿⣿⡇⡄⠀⠀⢸⣿⣿⣽⣿⣿⣏⠻⣿⣿⣿⠿⠛⠉⣉⣰⣿⣿⣿⣧⠀⠀⢸⣿

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠋⠉⠀⠀⠀⠈⠉⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⣾⣷⠀⢰⣿⡇⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠉⠁⠀⠀⠉⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⢹⣄⠀⠀⠀⠀⠀⢀⣼⠁⠀⠀⢠⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⠀⠉⠓⠲⠶⠶⠚⠋⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀ ⠀⣠⠴⢦⣄⣀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢁⣀⣠⣄⣀⠀ ⣾⠁⠀⢏⢠⠒⠛⠙⠒⠛⠦⠀⠀⠀⠀⠀⠀⣀⡤⠾⠛⠫⠭⡍⢱⠀⠈⢧ ⠹⣄⡠⠜⣈⡳⠀⠀⠀⠀⠀⠀⣠⠒⠲⡄⠀⠀⠀⠀⠀⠀⢴⣁⠣⢄⢀⡞ ⠀⠈⠓⠾⠥⣤⣀⡀⠀⠀⠀⠀⠳⣄⣠⠇⠀⠀⠀⠀⣀⣠⣤⠤⠧⠶⠋⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⡏⠀⢸⠆⠀⠀⠠⣏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠉⠒⠋⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⣇⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠛⠤⠬⢭⢸⣀⣀⣴⠚⠉⠙⢳⣄⡀⠘⡍⡒⠃⢹⣦⠀⠀⠀⠀⠀ ⠀⠀⢿⠀⠀⠀⠸⣀⠤⣴⠁⠀⠀⠀⠀⢻⣈⡉⢁⡇⠉⠉⠘⡇⠀⠀⠀⠀ ⠀⠀⠈⠳⣦⣀⡀⢀⣰⠇⠀⠀⠀⠀⠀⠘⣇⠉⠉⠀⠀⢀⣼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠙⠓⠶⠶⠚⠋⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡋⠀⠉⠙⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠤⠤⠤⠤⠤⢼⣷⣄⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⣄⣀⣀⣀⣀⣀⣠⣤⣴⣴⣿⠿⠶⠶⠶⣶⣶⣤⣽⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣩⣽⣿⠿⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀ ⠀⠀⠀⠀⣰⣾⣿⡄⠀⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣨⣿⣇⠀ ⠀⣿⣦⣄⡙⢿⣿⣿⣦⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣿⣿⣿⣿⣿⡆ ⢸⣿⣿⣿⣿⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣧ ⠙⠛⠛⠻⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠉⠉⠙⣻⡛⠿⢿⣿⣿⣿⡟⠛⠛⠋⠉⢻⡇⠀⠀⢸⣿ ⠀⠀⠀⣶⣿⣿⡿⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⣿⣿⡇⠀⣿⢰⣿⣿⡇⠀⠀⠀⢀⡷⠀⠀⢸⣿ ⠀⠀⠀⠈⠿⠋⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⠈⠉⢉⣠⡾⠛⠷⣯⡉⠁⠀⠀⢀⡾⠃⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣄⣀⣠⡴⠏⠁⠀⠀⠀⠈⠙⠷⣴⠶⠋⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣯⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⣸⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⡉⠛⠓⠒⠶⠶⠶⠤⠴⠤⠤⣤⡤⠼⠷⣴⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠀⢀⣼⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⣠⡴⠛⠁⠀⠀⣠⣾⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⠞⠉⠀⠀⢀⣴⣾⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣶⣦⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣴⣶⡾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⠉⣿⣿⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣿⠿⠋⡀⠛⠻⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⠿⠃⠖⠋⣉⣴⣶⣾⢿⡟⠁⢹⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⠿⣄⠁⠉⠉⠉⠀⢠⠄⠀⢾⣿⣿⣿⣿⠁⣼⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢉⣉⣩⣤⣴⣶⣶⣟⠀⠀⠀⠀⢸⠀⠀⠈⢯⣭⡾⠟⠋⠁⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⢧⡀⠀⠈⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠻⣄⠀⠻⢧⣭⣴⠯⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⣠⡶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⣾⡁⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿ ⣿⣿⣿⣇⠘⠱⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣦⣄⡈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠤⠔⠒⢉⠿⠃⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠛⢷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠈⠛⠿⣿⣿⣶⣦⣤⣀⣀⣀⡴⠋⠀⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⡿⠋⠀⢀⣴⡇⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠐⠒⠋⣉⣉⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠟⠟⣛⡻⢿⣝⠛⠿⠿⣿⣿⣿⣿⡄⢻⣿⣿⣿⣿⣿⡿⣧⣀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠤⢿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠁⠂⢉⣷⣄⠀⠐⠋⠳⡍⠳⡀⢹⣿⣿⣿⡈⠳⡍⠋⠙⢲⣤⡀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⣀⣀⣀⣀⠀⠙⣿⣧⣀⣀⣀⣀⠀⠙⣦⣹⣿⣿⣧⣄⣀⣀⣠⣞⣀⣇⣀⣏⣀⣀⡀⢀⣀⣀⣀⣀⣀⣀⣾⣏⣀⣏⢀⣀⣀⣈⣻⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠤⠤⠤⠤⢄⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣟⠓⠚⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⢤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡤⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⡀ ⠀⠀⠀⠀⠀⠀⠚⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃ ⠀⠀⠀⠀⠀⢠⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠁⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠋⠀⠀⣇⠀⢀⣴⣲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣾⣿⣇⠀⣠⠋⠀⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣄⠀⠀⠀⠈⢆⠀⠀ ⣿⣿⣿⡿⠟⡏⠁⢢⠙⠛⠀⠀⠀⡄⠀⠀⠀⠀⢀⣿⣿⣿⠀⠀⠀⠀⠈⠳⡀ ⠉⠁⠀⠀⠀⠘⢆⣠⠀⠀⠀⠀⣞⠁⠀⠀⠀⠀⠈⢿⣿⠏⢀⣀⠀⠀⠀⢠⠃ ⠀⠀⠀⠀⠀⠀⠀⠙⢢⠊⠉⠢⡳⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠈⣄⡴⠃⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠐⢄⡀⠠⠒⠉⢣⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠂⠀⠀⠀⠀⠀⠀⠀⠈⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠃⠀⠀⠀⠀⠀⠀⠄⠡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢐⡘⢄⠗⢦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⡄⠀⠀⠀⠀⠀⢀⣈⡎⣣⡀⠈⠇⢀⡿ ⠀⠀⠀⠀⠀⠔⠊⠐⣀⠤⠔⠤⠤⢸⡀⠀⠀⠀⠀⠀⠣⢀⣀⢀⡵⠚⠉⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠉⠹⠶⠆⠀⠀⠀⠀⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠄⠀⠈⠀⠀⠀⢀⡞⠉⠀⠀⢰⣀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⠀⠈⠀⣴⡆⠀⠚⠉⣿⣿⣷⢲⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢸⢸⠒⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠤⣀⣀⡠⠃⣜⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣦⢀⣀⡀⠀⠀⠔⠉⠑⠢⢄⠀⡠⢣⠎⠀⠀⡜⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣍⡀⠀⠀⢭⠽⣄⠀⠀⠀⠀⠈⠲⡇⠀⠀⠚⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⡧⠀⡀⠀⠀⠉⠚⠒⠄⢀⣀⡀⠀⢰⠀⠀⠀⠸⡀⠀⠀⠀ ⠀⠀⠀⡤⠔⠉⠀⡀⡇⠀⠀⠀⠀⠬⢦⠎⠀⠀⠀⢈⡆⠀⠀⠀⠇⠀⠀⠀ ⠀⠀⠀⡸⢄⠀⠀⠑⢴⡀⠀⠀⢀⠔⢹⠀⠀⠀⠀⠀⡇⠀⠀⢀⡆⠀⠀⠀ ⠀⢠⠊⠀⠀⠁⢄⡀⠀⠑⢄⠀⠏⠀⠈⠀⠀⠀⠀⢠⠧⠀⠤⡞⠁⠀⠀⠀ ⢠⠋⠀⠀⠀⠀⠀⠈⠉⠒⠚⢺⣵⡄⣀⠀⠀⢀⠴⡃⠀⠀⠀⢸⠀⠀⠀⠀ ⡆⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠉⠀⠀⠀⠈⠉⠉⢣⡗⠀⠀⠀⢠⡀⠀⠀⠀ ⢃⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡠⠤⠮⡥⢌⠱⡄⠀ ⠘⡄⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠈⡄⠀⠀⢱⠀⢱⡇⠀ ⠀⠘⢄⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⢈⢆⠀⠀⠀⠀⠀⡇⠀⠀⠸⠀⡸⠀⠀ ⠀⠀⠀⠑⢄⠀⠣⠀⠀⠀⠀⡠⢐⡡⠐⠑⢄⠀⠀⠀⠀⠀⢠⠣⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠒⠩⠴⠖⠛⠈⠁⠀⠀⠀⠀⠑⠠⠤⠤⠔⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠴⢤⡤⠶⢦⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠤⢊⠉⠈⠐⠀⠀⠁⠀⠀⠁⠀⠈⠈⠙⡦⣀⠀⠀⠀ ⠀⠀⢠⠶⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⡀⠀ ⠀⢤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡐⠀⠀⠀⢸⣷ ⠀⠓⠂⠀⠀⠀⢐⠢⠤⡤⠀⠀⠀⠀⠀⠀⠀⣌⡁⢤⣕⠀⠀⡜⠁ ⣿⢧⠀⠀⠀⢰⠥⠠⢴⣬⡆⠀⠀⠐⢄⠀⠈⢆⠈⠉⢀⢀⠌⠀⠀ ⠀⠀⠐⠄⡀⠘⢉⠀⠀⡠⠃⠀⡀⠀⠊⣀⠀⠀⠁⡀⠕⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠐⠠⠉⣁⡀⠀⠀⠀⠉⢊⣁⠤⠒⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠐⠂⢳⣫⠟⠮⠖⠑⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠓⠤⡤⢴⣛⣧⡼⣤⡔⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⡞⠀⠀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠄⠠⠄⠐⠣⠄⠐⠚⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠂⠤⠤⠤⠄⠘⠒⠐⠂⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠔⣊⡁⠀⠀⠀⠀⠀⠀⠈⠁⠂⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠌⡔⠁⠀⠈⢳⡄⠀⠀⠀⠀⡀⠤⠤⣀⠈⠢⡀⠀⠀ ⠀⠀⠀⢀⡜⠀⡄⠀⠀⢀⠸⠧⠤⠤⠄⡎⠀⠀⠀⠈⣷⠀⢷⠀⠀ ⠀⠀⠔⠁⠠⣴⡈⢲⠞⠁⢀⣀⣀⡀⠀⠈⢢⠀⠀⢀⣿⠀⠈⠇⠀ ⠀⠀⠀⠀⠀⠸⢀⠇⠀⠀⡿⠿⠿⠿⡄⠀⠀⢳⠖⠛⠁⢀⠀⡸⠀ ⠀⠀⠀⠀⡠⢖⣸⠀⠀⢰⠑⠂⠀⠐⢃⠀⠀⢸⠀⠀⠀⠈⢹⠁⠀ ⠀⠀⠀⡌⠀⠰⠃⢱⠒⠃⠀⠀⠀⠀⠘⠄⠠⠂⢀⠔⠀⠀⡨⠤⡀ ⠀⠀⢰⠀⠀⠇⠀⡎⠉⠉⠉⠀⠒⠒⠂⠠⠤⢤⠊⠀⣐⡝⠀⠀⢰ ⠀⠀⡆⠀⢸⣤⣸⠄⠀⠀⠀⠠⠄⢀⠀⠀⢀⠂⠀⡜⠉⠀⠀⠀⢸ ⠀⢠⠀⢀⠜⠉⣉⠀⠀⠀⠀⠀⠀⠀⠈⠐⡌⣀⡰⠁⠀⠀⠀⠀⡈ ⠀⠘⠀⡌⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⣴⠄⠙⠻⡃⠀⠀⠀⠀⠀⠃ ⠀⠇⠀⠇⠀⠀⠀⠀⠒⠠⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢰⠀ ⢰⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⡈⠀ ⢈⠀⠀⠀⠀⠈⠐⠂⠤⢀⡀⠀⠀⠀⢀⠠⠐⠁⠀⠀⠀⠀⠀⠇⠀ ⠂⠑⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⢈⡩⠿⠿⡴⠶⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠚⠒⡦⠶⣉⠀⠀⠀⠙⡄⠀⢻⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠇⢀⣜⡀⠀⠀⠑⢦⡤⠚⢹⠑⢺⣠⡽⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠉⢹⢺⡟⠛⠛⠛⠛⢿⣤⠜⡖⣾⠃⠀⢃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢧⠈⡼⣷⡀⠀⠀⠀⠀⣻⢶⠽⣿⣤⣤⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣝⣯⡛⠶⠶⣶⠛⠉⡝⠉⠉⢆⡟⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣝⣤⡊⠁⠉⢲⠓⠒⠈⠙⣤⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⣑⡬⣓⣤⣏⠠⠤⠔⢲⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⡏⠉⠙⡗⠒⡂⣴⡧⠄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⢉⠏⡟⠒⢲⠗⠒⡏⡼⢆⠀⣠⠜⠓⣒⠤⠤⠤⠤ ⠀⠀⠀⣀⡠⠤⠄⢎⣁⢑⠴⡁⠀⡇⠀⣸⠀⠀⣇⣠⣔⠿⢤⠒⠋⠁⣠⠴⠒⠉ ⢠⠖⠉⠀⠙⠢⣄⣠⠞⠉⠉⢩⠟⠻⣲⣧⠾⠋⢹⠀⠀⠀⣀⡱⢔⠉⠀⠀⠀⠀ ⣎⡀⠀⠀⠀⢀⠞⠉⠉⠒⢢⡯⢀⣔⢼⢃⣢⣀⠨⡦⠒⠉⠀⠀⠈⠣⡀⠀⠀⠀ ⢣⠈⠑⠢⢄⣎⠀⠀⠀⠀⢸⠀⣯⣿⣿⣯⡷⠷⠀⢣⠀⠀⠀⣀⠤⠔⠛⡅⠀⠀ ⠈⠄⣀⣤⣾⣄⡉⠒⠢⢄⡇⠐⡟⡏⣿⡟⡟⢳⠀⣸⡤⠖⠉⠀⠀⢀⣤⣼⣾⣿

⠀⠀⠀⠀⢀⣤⡴⠶⠾⠿⠿⠶⠶⠦⣤⣄⡀⠀⠀⠀⠀ ⠀⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⡄⠀⠀ ⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀ ⣾⠃⠀⠀⠀⠀⣾⣿⡆⠀⠀⠀⣼⣿⡆⠀⠀⠀⠀⢹⡆ ⣿⢰⠤⠤⠤⠤⠭⠭⠤⠤⠤⠤⠬⠿⠥⠤⠤⠤⠤⡌⣿ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿ ⠻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃ ⠀⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀ ⠀⠀⣸⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀ ⠀⢠⣿⣿⠀⠉⠛⠻⠶⠶⠤⠤⠴⠶⠟⣿⣧⠀⠀⠀⠀ ⠀⣸⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⣿⠀⠀⠀⠀ ⠀⣿⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⠀⠀⠀⠀ ⠘⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢹⡇⠀⠀⠀

⠀⣀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⣀⠀⠀ ⠀⠀⠄⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⠀⠀⡌⠀⠀ ⢠⠎⣰⣿⣿⡿⠛⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⡀⠀⠀ ⠸⠁⣿⡳⡽⠀⠀⠀⣿⣿⡿⣿⡽⣟⣿⣿⣿⣿⣿⣿⠀⠇⠀⠀ ⠀⢀⣿⣿⠁⠀⢀⡀⢸⡟⢧⡙⣧⣹⣈⣿⣻⣿⣿⣿⡆⢘⠄⠀ ⠀⠈⣿⣿⠀⠀⠁⣀⣬⡄⠈⠇⠘⠻⡽⠛⠓⣿⣿⣝⡿⠆⠀⠀ ⠐⠂⢿⣿⣆⡴⣾⠿⠟⠁⠔⢾⠀⠈⠀⠀⠁⣿⣿⣯⡟⠀⠀⠀ ⠀⠀⠈⢗⣾⣌⠀⠀⠀⠀⣀⣤⡐⠶⢼⡷⠀⣻⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⢸⣮⣛⢢⠀⠀⠹⣽⣄⣠⡴⠞⠁⣰⢿⣿⣿⣿⡄⠀⠀ ⠀⠀⠀⠜⣿⣿⣟⣱⣦⣤⢀⣀⡀⢀⡠⢚⣿⡼⣿⣿⣏⠙⡆⡤ ⠀⠀⠀⠀⣿⣟⡇⡇⡈⡇⠓⠄⠀⠀⠀⠜⢹⢳⣿⣿⣼⠀⣼⠀ ⠀⠀⠀⠸⣿⣿⣧⠀⢿⡣⢄⣑⠀⠀⡬⠔⢹⢸⣿⣿⣿⡐⡈⠀ ⠀⠀⠀⠉⠈⠉⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠈⠀⠉⠉⠉⠀⠁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⡻⡌⠉⢦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣧⣿⣷⣝⢦⡀⠱⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡟⠈⡾⠷⣶⣼⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣏⡏⠀⡰⠃⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠒⠀⠲⡆⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠲⣄⠀⠀⠀⣸⡟⡼⠀⢠⠃⠀⠀⠀⢠⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⣰⡟⡰⠳⣤⠏⠀⠀⠀⢠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⣸⡋⡰⠁⢀⣿⡟⠒⣶⡖⠛⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢰⣤⣧⠤⣤⣤⣤⣤⡤⠤⠤⠤⠤⣤⣤⣤⣤⠤⠤⣤⣾⡏⠉⢹⠃⣤⣿⣾⡤⣤⡇⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣀⠀⢸⣿⡇⢀⡜⠃⠀⠀⠈⠉⢢⣤⠋⠀⠀⠀⠈⢦⠀⢿⣿⠳⣄⣾⡼⡟⠉⠀⣀⠼⣯⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣴⡋⠀⠈⢃⢸⣿⡇⢸⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⡇⢸⣿⢦⣈⡹⡇⠈⢾⠉⢀⣀⠼⡤⢿⡄⠀ ⠀⠀⢀⡤⠒⠉⠉⠀⠀⠀⠀⢷⠀⠀⢿⢸⣷⡇⠈⢧⡀⠀⠀⠀⠀⡰⠙⢄⠀⠀⠀⢀⡴⠃⢸⡇⠘⡄⠉⢻⡀⢰⢻⣅⣀⡤⠧⢤⡇⠀ ⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠸⠸⣿⡷⢤⣤⣿⣶⡶⠶⠯⠤⠤⠤⠽⠷⠾⠿⠤⠤⠾⢿⠀⡇⠀⠀⠉⠛⢯⠀⠀⠱⡄⣼⠀⠀ ⣴⠃⠀⠀⠀⠀⠀⢀⡀⠀⢀⠇⠀⠀⢰⠀⢿⢧⣼⡟⠁⠀⠙⣷⠀⠀⠀⠀⠀⠀⣀⣶⠖⢦⠀⠘⣶⠃⠀⠀⠀⠀⠀⢃⠀⠀⣿⠁⠀⠀ ⡇⠀⢀⡠⠔⠒⠒⠚⠛⢶⣿⡀⠀⢀⡞⠀⢸⣾⠘⢗⢤⣀⣴⣿⣷⠟⠛⠛⣦⣸⣉⢹⢛⣏⠙⡇⢿⡀⠀⠀⠀⠀⠀⠘⡄⠀⠘⡆⠀⠀ ⢳⠒⠁⠀⠀⠀⠀⠀⢰⣄⣸⠿⣗⠚⠁⣾⣿⣿⠀⠀⠉⠉⠉⢹⢧⡀⠀⠀⣾⡏⠉⢏⠉⣹⡏⠁⢸⢹⠓⠤⣤⠤⠒⠉⡇⠀⠀⢧⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⢀⣠⡧⡉⢢⣽⢦⣤⣿⢿⢿⠀⠀⠀⠀⠀⠀⠓⠭⠶⠭⠋⠁⠀⠀⠉⠉⠀⠀⢸⣾⠀⠀⠸⡄⠀⠀⡇⠀⠀⢸⠀⠀ ⠈⡇⠀⠀⣀⣤⠾⢿⡁⣀⡼⠛⢁⣟⣛⠓⢼⣸⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⡼⠈⢧⠀⠀⢳⣀⣰⠃⠀⠀⡜⠀⠀ ⠀⠳⠶⠿⠯⠽⠶⠒⠋⠀⠀⠀⢸⠋⠀⠉⠱⡄⠀⢀⠤⡟⠛⠛⠛⠛⠛⠛⣿⢶⡖⠒⠒⢋⡡⠞⡇⠀⠈⢧⡀⠀⠀⠀⠀⢀⡼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠋⠉⠉⠒⢧⠀⠹⣧⡇⠀⠀⠀⠀⠀⠸⡟⠤⠋⠀⢠⠟⠀⠉⠙⣆⠀⠀⠙⠒⠤⠤⠐⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⠤⠤⠤⠤⠼⠷⠒⠛⠃⠀⠀⠀⠀⠀⠀⠙⠒⠒⠒⠓⠒⠒⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠚⠋⢍⠉⠁⠀⠁⠈⠙⠒⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⡚⣥⡭⢀⠈⠐⠀⠈⠂⡀⠀⠀⠀⠀⠀⠀⠙⢶⠚⠓⢶⣄⠀⠀ ⠀⠀⢀⡴⢋⠊⡺⠛⢉⣙⡄⠀⠀⠱⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠩⢆⠀⠙⢧⠀ ⠀⣠⠎⠀⠃⡐⠽⣶⣿⣋⠃⠀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⡄⣆⠀⠈⡇ ⣠⠃⠀⣵⡀⠇⢸⡟⡹⠋⠀⠀⠀⡜⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⡇⠸⡀⠀⢰ ⠇⠀⢠⠸⡈⠊⠚⠋⠁⠀⠀⢀⠜⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠑⡀⢷⠀⢸ ⠐⣤⣀⠀⠐⠲⢶⣶⣶⡶⠖⠁⠀⠀⠀⠀⠀⠀⠀⢈⣀⠠⠤⠠⠤⢄⡇⢸⣶⡎ ⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣔⣼⣾⣾⣿⣿⣿⣷⣿⣷⣼⠉⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⡿⠟⠛⠛⡙⣻⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠋⠀⠐⢶⣷⣶⠟⠀⣿⣿⣿⢹⠏⠀⠀ ⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⢰⣏⠄⠀⠀⠀⠀⠀⠀⢀⣀⣼⣿⣿⠇⡾⠃⠀⠀ ⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⡰⡿⢿⣧⠀⠀⠀⠀⢲⡾⠿⠿⠿⡿⢋⡼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠒⢦⠄⠇⡑⠂⠬⡁⠂⢤⡀⡜⠀⠀⢀⠤⣶⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠈⠀⠐⠂⠤⣦⡄⢑⠈⠀⠀⠸⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠓⠺⠡⡀⠀⠀⠘⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢀⠄⡤⠒⠀⠀⠐⢧⣀⡠⡇⠀⠀⠀⠙⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣆⡀⠀⠀⠀⠀⠂⢠⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠦⣄⡀⢼⢄⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⢇⠇⢀⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⡏⠐⠛⠲⠶⠶⠶⠤⠶⠶⠒⠒⣧⠴⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⠉⠉⠉⠹⡏⣶⣶⣾⣿⠉⠉⠻⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡹⠓⠀⠀⢬⡿⠁⢻⣿⠿⠧⠤⢲⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⡌⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣀⢀⠀⢀⡏⠀⠀⠘⣧⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣃⣀⣀⣸⠀⠀⠀⠀⢶⣂⣀⣀⣀⣹⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⣀⡤⣤⢤⡤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠛⠋⠁⠁⠀⠀⠀⠉⠛⣯⣳⡀⠀⠀⠀⠀⠀⠀⢠⡿⠃ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣿⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⢹⡆⠀⠀⢸⣿⠀⠀⠀⠀⢠⡿⠁⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⠀⢀⣮⠏⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠈⠻⢦⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠛⠛⠛⠛⠓⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠈⠳⣤⣀⠀⠀⠀⣀⣠⠴⠛⣁⣠⠴⠖⠋⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠉⠙⠛⠛⠛⠓⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠿⠀⠀⣤⣤⡤⠖⠚⠋⠉⠉⠉⠉⠉⠉⠉⠉⠙⠒⠶⣤⣤⣄⠀⠀⠳⢦⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣀⣠⠞⠋⠁⣀⡴⠺⢟⡿⣷⣦⣀⠀⠀⠀⢰⡆⢶⠀⠀⠀⠀⣠⣶⡿⣿⠻⢷⣄⠀⠀⠙⢳⣄⣤⣄⣀⠀ ⠀⠀⠀⠀⠀⠀⢠⡞⠉⠀⠀⠉⠙⠲⣤⣾⡿⠀⠀⢸⠃⠈⠙⢿⣶⣤⡀⢸⡇⣾⠀⣀⣴⣿⡟⠉⠀⢻⡄⢸⠙⣷⣤⠶⠋⠁⠀⠀⠉⢧ ⠀⠀⠀⠀⠀⠀⣿⢇⢤⣤⣀⣀⠀⠀⢨⣷⠁⠀⠀⢸⡀⠀⠀⠸⣟⡿⢿⣾⡇⣽⣾⠿⣟⣿⠃⠀⠀⣸⠇⢈⠃⢸⡇⠀⠀⣀⣀⣤⡄⣸ ⠀⠀⠀⠀⠀⠀⢿⡞⣄⠀⠉⠛⣷⣦⣿⣽⡀⠀⠀⠈⠳⣄⡀⠀⠀⢀⣤⣾⣃⣛⡧⣄⡀⠀⠀⣀⡴⠛⠀⣸⣀⣠⣧⣴⣾⠋⠉⠀⣠⢻ ⠀⢠⣴⢶⣦⠀⠀⢻⣌⠢⡀⢸⡉⢹⣿⣏⣩⣿⣶⡶⣦⣬⣭⣿⣿⣯⣟⣩⣭⣭⣿⣿⣽⣿⣿⣿⣶⣶⣿⣯⢿⣿⣿⠋⢹⡇⢀⡔⣣⠏ ⠀⠸⣧⢸⣏⣇⠀⠀⠙⠶⣌⡺⣍⣸⣿⡿⣿⣿⣿⣶⣿⣿⣿⣛⣿⣿⡿⣽⣽⣫⢿⣿⣿⣙⣿⣿⣥⣤⣿⣿⣻⣿⡏⠀⣨⣖⣫⠞⠋⠀ ⢀⣴⢟⣫⣭⣟⢿⣶⣖⣶⣾⢽⡛⠻⣿⣧⣿⣸⣿⣿⣯⣭⡿⢿⣿⣯⠽⣿⣿⣿⢭⣿⣿⢿⣿⣯⣽⣿⣏⣿⣹⣿⠗⠛⠛⠉⠁⠀⠀⠀ ⣼⢱⣿⣿⣿⣿⣷⢽⢻⣻⣯⡯⢿⣦⠈⠷⣿⣿⣍⣝⣿⣿⢿⣾⠿⣿⣾⣽⣿⣯⣿⣿⣿⣶⣿⣿⡏⣻⣿⡟⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡸⣿⣿⣿⣿⡿⣸⣿⠏⣷⣧⡈⣯⣇⠀⠈⠻⢿⣽⣿⣯⣾⣿⣶⣿⡟⢻⣿⢿⣿⣿⣽⣿⣯⣽⡿⣽⣿⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡷⣬⣛⣛⣫⡴⣫⢟⣰⢛⣯⢇⣇⣿⠀⠀⠀⠀⠙⢻⣧⣿⣟⣹⣿⣷⣿⣿⣶⣿⣟⣹⣿⢏⣿⣷⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢷⡸⣟⣿⣖⣛⣡⣾⢷⣿⣩⣾⡽⠃⠀⠀⠀⠀⣴⠋⡾⢻⢿⣿⡟⣻⣿⣼⣿⣛⣿⣿⣿⡿⣟⠙⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⠭⣽⡿⠟⣿⠚⣿⣿⣯⡀⠀⠀⠀⢀⡾⠃⣸⢇⠇⠀⠙⠳⣿⣞⣻⣿⣟⡿⠟⠉⡇⢻⡦⣀⡈⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣧⠀⣿⢔⣿⡏⠉⢻⡄⠀⢀⡞⠁⢠⡟⡸⠀⠀⠀⠀⠙⣷⣾⠟⠋⠀⠀⠀⢣⠀⣷⢬⣝⡲⣄⠈⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢯⣦⡼⠛⠛⣧⣤⣾⠳⠶⠋⠀⣰⢻⢃⡇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢸⠀⢸⡀⠈⣧⢸⠀⠘⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣦⣤⡾⠟⣿⣿⣦⣀⣀⠜⣡⣿⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⢸⡇⠀⣿⠘⡄⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣶⣾⡿⠟⠷⠬⠵⠾⠃⢸⠛⠓⠶⠤⣤⣀⣀⣀⣀⣀⣀⣀⣤⡴⠷⠚⢋⡇⠀⣿⡀⡇⠀⢻⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⢸⠇⢠⡿⡽⠁⠀⠈⠳⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⣼⠀⡇⠀⠀⢠⡄⠹⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⣷⣲⠿⣤⣵⠀⠀⣾⠃⠀⢹⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠈⠳⢦⣄⣀⣀⣀⣀⣀⣀⣤⠶⠛⠉⠀⢸⣧⡴⡽⠃⠀⣰⣯⡀⢀⣼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣼⠋⠉⠉⠉⠉⠉⢿⡄⠀⠀⠀⠀⣿⣜⠁⢀⣴⠏⠈⣠⡾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⢸⡟⠿⢯⣥⡤⠾⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣀⣀⡀⣿⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⢸⠇⢀⣀⣤⣤⣤⣄⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠉⠀⠀⠀⠈⠉⠙⠻⠷⣤⡀⠀⠀⢻⣆⠀⠀⠀⠀⠀⣾⠃⠀⠀⣀⡴⠟⠛⠉⠉⠀⠀⠀⠈⠉⠳⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⣄⠀⠹⣆⠀⠀⢀⡾⠁⢀⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄ ⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠹⣆⢀⡾⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳ ⠀⠀⠀⠀⠀⢸⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢸⠓⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠈⢿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠸⣆⠀⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠶⠦⠤⢤⣤⣄⣀⣀⣀⣀⣠⣤⡤⠤⠴⠖⠋⠀⠀⠈⠓⠶⠤⢤⣭⣭⣦⣤⣀⣠⣤⣤⡤⠤⠤⠴⠒⠚⠉⠀

⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆｡˚˙✧˖°📷 ༘ ⋆｡˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧｡⋆🌻⋆｡‧˚⛷🧚‍♀️🛖

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠔⠂⠉⣉⣉⣉⢁⣀⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠠⣴⣶⡟⠂⣹⣿⣯⣀⣿⣟⢪⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠔⢉⣠⣶⣟⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠜⢁⣄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⡤⠤⢄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⢃⣴⣿⣧⣤⣿⣿⣿⣿⣿⣿⣿⠿⢟⡛⡛⠿⣿⣿⣿⣿⣿⣧⢐⣦⡀⣈⣢⣄⠀⠀⠀⠀ ⠀⢀⠎⢡⣦⠙⣿⣿⣿⣿⣿⣿⣿⠿⢉⣥⢠⣷⠿⣿⣶⠌⢿⣿⣿⡿⣿⣧⣟⠑⠿⠇⣿⡄⠀⠀⠀ ⠀⡜⢰⣿⣷⣶⣿⣿⣿⣿⣿⢟⣁⣠⣝⠋⠠⣟⣦⣸⡿⡷⠈⣿⡿⠁⠀⠉⡿⣷⣲⡚⡟⠁⠀⠀⠀ ⢰⣍⣶⣉⣿⣿⣿⣿⣿⣿⢁⣾⣿⠉⠻⣼⡀⡶⢍⠩⠊⢐⢠⡟⠁⠀⠀⠀⣽⣿⢳⣄⢸⠀⠀⠀⠀ ⢸⣜⣿⣿⣿⣿⣿⣿⣿⡷⡌⣟⣿⣷⣶⢿⢣⠪⡀⠡⡘⢀⡏⠀⠀⢀⣠⣾⣿⢻⣿⡻⣛⣆⠀⠀⠀ ⠈⣏⣿⣽⣿⣿⣿⣿⣿⣧⡳⣝⣻⣿⣛⢎⡘⠄⢡⡐⣡⣾⣥⣤⣴⣾⣿⣯⡝⣮⣿⢧⣿⢻⢦⡀⠀ ⠀⠈⠫⢿⣿⣿⠛⢿⣿⣿⣷⣯⣖⡟⣾⣻⣵⣟⣶⣿⡵⣾⣿⣿⣿⣿⣿⣷⣛⢶⣻⣷⣷⣿⣎⢿⡀ ⠀⠀⠀⠀⠙⣎⠙⠀⠈⢹⣿⢸⣿⣿⣿⣿⣿⣿⣿⣾⣥⡀⠈⢿⣿⠈⣿⣿⣿⣎⠷⣿⣷⣿⣼⣣⡇ ⠀⠀⠀⠀⠀⠈⠑⠚⠒⣾⠿⠾⠟⠛⠋⠉⠉⠻⢿⣿⣿⣷⣀⣈⣿⣆⠘⢿⣿⣿⣿⣽⣻⣟⣷⠷⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⠃⠀⠉⠛⠿⠿⠿⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⠿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡏⠀⠀⠻⣿⣿⣿⣆⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣧⠀⠀⠀⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡟⠀⠀⠀⠘⢿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠒⠶⣄⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⣾⠁⠀⠀⠀⠀⠘⡏⠁⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡃⠀⣇⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⢀⡏⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠸⡄⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⡾⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣦⠤⠾⠒⠚⠛⠛⠛⠓⠒⠶⠤⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠉⢀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠶⢶⠏⠉⠹⣄⡤⣤⡀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠙⢦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⢿⡀⣸⠀⢀⡞⠁⠀⢨⠇⠀⠀⢀⡼⠃⣤⣤⡄⠀⢸⠀⢀⣤⡶⠖⢖⣦⡀⠀⠀⠀⢸⡀⠀⠀⠀⢸⣍⣢⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣴⣼⠟⠻⠤⣼⣤⣤⢴⡃⠀⠀⠀⡾⡁⣾⠋⠈⢻⠀⡇⠀⡾⠃⠀⠀⠀⠘⣿⡄⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⢋⣀⣀⡀⢰⡇⠀⢺⣟⣻⢿⣿⠁⢰⡇⠀⢀⡏⠀⡇⠀⢧⡀⠀⠀⠀⠀⣼⠃⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⠟⣾⣇⠘⣯⣹⡷⢸⡇⠀⠀⢙⡏⢠⡏⠀⠈⠳⢶⣞⠀⢸⠀⠀⠈⠓⠦⢤⠤⠞⠁⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⣹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⡔⠛⠻⣆⠀⠉⠀⢸⡇⠀⠀⣼⣿⢿⠃⠀⠀⣰⡾⠛⠻⣾⡶⠶⠶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣀⣠⠴⠒⠋⠉⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⢿⡇⠀⠀⠙⠓⠲⠤⣸⠦⠖⠚⢉⡿⣾⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠟⠉⠀⠀⢠⠖⠓⠲⣼⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢸⢻⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⣼⡇⡏⢸⠀⠀⠀⠀⠀⠉⠙⡖⠚⠉⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⢱⡖⣒⣷⠀⠀ ⠀⠀⠀⠀⠈⠓⠤⠤⠤⠤⠤⠶⢿⢠⠇⢸⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢰⢿⠁⢀⣀⣀⠀⠀⠀⡟⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣸⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⣾⡄⠈⢿⠙⡶⡇⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠸⣗⣦⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠸⡄⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⣟⢱⡄⠈⣯⠀⢧⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣹⡀⢰⡧⣀⡀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⠉⠉⠙⠒⠋⠀⠀⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⣸⡉⠑⠿⢵⣶⣦⣤⡀⠃⠀⣀⣀⣀⣀⣀⣠⠤⢶⣿⣆⠀⠀⠀⠀⠀⠀⡾⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⢸⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠈⠙⢿⣲⡾⠓⠛⠚⠚⠛⠉⠉⠉⠀⠈⠓⠦⣄⣀⠀⠀⣇⠀⠀⠘⣧⣶⠀⠀⠀⢀⠀⠀⢠⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡽⡟⠻⣄⠀⣠⡏⠁⠀⠀⣰⠏⠀⢠⡾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⣀⡈⠉⠉⠉⠉⠒⠒⠲⡤⣄⠀⠀⠀⠀⠀⠀⣀⡤⠖⠉⠀⢹⠀⠈⠉⠻⢤⡤⠖⠋⢀⣠⠔⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⢛⡶⠖⠒⠛⠍⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡟⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠈⠉⠉⠓⠒⠒⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⢀⠆⡰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡤⠤⠴⡶⠶⠶⠤⠤⣤⣀⡤⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⢀⠀⠀ ⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠚⠋⠉⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠈⣮⣏⣙⣲⣄⡀⠀⠀⠀⠀⠀⠀⠻⣄⠀⢀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢻⠒⠻⠷⠦⠽⢶⣄⣀⠀⠀⠀⠀⠹⡦⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⣀⡀⠀⠉⢙⣦⠀⠀⢸⠇⠀⠀⠀⠀ ⣀⣠⡤⠖⣺⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⢸⡧⠔⠊⠉⠀⠀⠀⠀⠀⢸⠀⠀⣾⠀⠀⠀⠀⠀ ⠁⢀⠔⢪⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢸⡿⡶⣄⡀⠀⠀⠀⠀⠀⢸⠀⢀⡇⠀⠀⠀⠀⠀ ⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢀⣈⡙⣦⡄⢀⠔⠊⢹⠀⢸⡁⠀⠀⠀⠀⠀ ⡀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣼⣴⠟⠛⠻⢾⣧⠃⠀⠀⢸⠀⣾⠀⢀⠀⠀⠀⠀ ⠙⢦⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⣿⡏⢀⠀⠀⡠⢻⣆⠀⠀⢸⠀⡇⣠⠟⣇⠀⠀⠀ ⢀⣾⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⢿⡇⠸⡦⣊⠀⠸⡸⡆⠀⠘⠚⠛⠁⠀⢹⠀⠀⠀ ⡞⠘⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡾⠈⢧⠾⢄⠈⠀⢰⠀⢹⡄⠀⠀⠀⠀⠀⣼⠀⠀⠀ ⠀⢰⡀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⣘⠃⢀⠬⠧⡤⣝⠴⠃⠀⠀⢳⡀⠀⠀⠀⣰⢯⣷⣄⠀ ⠀⠈⣇⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⡈⢠⠇⠀⠀⠀⠀⠀⣰⠯⠊⠁⣀⣀⣐⣃⣀⣀⡀⠀⠀⢷⠀⢀⡴⠃⠀⠈⠻⣦ ⠀⠀⠹⡄⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⠎⠀⠀⠀⠀⠀⣰⠝⠋⡉⣹⣯⡁⠀⠀⣼⣿⡇⠀⠀⣼⠞⠉⠀⠀⠀⠀⠀⢘ ⡳⣄⠀⠹⡄⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢣⠋⠀⠀⠀⠀⠀⣰⠯⣈⠁⣰⠿⣿⣿⣦⣸⣿⣿⡇⠀⣰⠃⠀⠀⠀⠀⠀⣠⠴⠃ ⠙⢮⣳⡀⠹⣄⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⡰⡱⠃⠀⠀⠀⠀⢀⡾⠊⠀⠈⠻⠁⠀⠀⠙⢿⣿⣿⣿⠁⢠⠏⢒⡦⣤⠤⠒⠋⠀⠀⢠ ⠀⠀⠙⠷⣄⠘⣆⠀⠨⡄⠀⠀⠀⠀⠀⠀⢴⠞⠀⠀⠀⠀⠀⣴⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠏⣠⣿⡄⠠⡀⠉⠙⢦⣀⣀⣠⡟ ⠀⠈⠐⠠⠌⣙⠾⡆⣤⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⣠⠞⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⣰⣿⣿⣷⣠⠬⢤⣀⣀⣙⣮⡭⢙ ⠀⠀⠀⠀⠀⠀⢨⡇⠃⠀⠀⠀⢀⠔⠁⠀⠀⠀⢀⡴⣿⠥⠒⠤⠭⢷⡤⣄⣀⣀⣀⣠⡤⠶⠋⠁⣴⣿⠫⢋⣿⠋⣢⡄⠪⣧⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⠀⠀⢀⡠⠞⠁⠀⠀⣀⡴⢾⣭⣊⡀⠀⠀⠀⠀⠀⠙⣾⣤⣤⣤⣤⣤⣤⣶⣾⣿⣧⠟⠋⣱⠛⠉⡿⠀⠉⣇⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⢀⠤⠒⢉⣀⣤⠴⠒⠋⠁⠀⠀⠉⢿⣿⣶⡄⠀⠀⠀⠀⠘⣆⠉⠛⠛⠛⠻⡛⠛⡿⡇⠀⠀⠫⠷⠋⠁⠀⢀⣸⡄⠀⠀ ⠀⠀⠠⠾⠥⠼⠖⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣠⡇⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠈⣶⢷⡈⠁⠐⠒⠒⢒⣠⡽⠞⠉⠉⠓⢦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⢸⣷⡀⠀⠀⣰⠃⠈⠙⢛⢛⣟⡿⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⢸⡏⠑⠢⠤⣀⣀⠤⠴⣺⡇⢳⡄⢠⠃⠀⠀⢠⣽⡿⠯⣑⣦⣀⡀⡀⠀⠠⠄⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠁⠀⣾⠁⠀⠀⠀⠀⠀⠀⢠⠏⡇⠀⠹⡏⠀⠀⠀⠀⣏⢠⣦⣻⡇⠱⡄⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠤⠤⠤⠤⣀⣀⠀⠀⢀⡠⠖⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠒⠲⣄⠀⠀⠀⠀⠀⠀⣀⠴⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⢀⣀⣠⣃⡤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢏⠀⠀⠀⠉⠒⠒⠦⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢦⣠⡟⢁⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⣘⡄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⣠⠔⠒⠒⢤⡀⠀⠀⠀⠀⠳⡏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠈⠙⢿⣁⠀⠀⠀⢀⡴⠋⠁⠀⠉⢳⡀⠀⠀⣼⠃⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠁⠉⠓⢦⣀⢀⡞⢀⣠⣦⣤⣄⠀⢳⠀⢸⣯⠀⣴⡿⠿⣿⣦⠀⢧⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⢸⠀⢸⣿⣩⣹⣿⡇⢸⣄⣨⣿⠀⢿⣷⣶⣾⡟⠀⢸⡄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⢸⠀⠘⠿⣿⡿⠟⠀⡼⠀⠀⠈⢧⠀⠉⠛⠉⠀⠀⢸⠁⠀⠀⠸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⡜⣄⠀⠀⠀⠀⠀⡰⢅⡀⠀⢀⡤⣳⢄⡀⠀⢀⣠⠏⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡈⠢⢤⡤⠤⠊⠙⠲⠽⣆⡾⠚⠁⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠈⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢙⡖⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⣀⠤⠤⢤⣀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢷⡤⠛⣶⠀⢀⡀⠀⠀⠀⠀⢸⠀⠀⠀⢠⠀⠀⠀⢸⣄⠀⠀⠀⡟⢤⣀⣠⠇⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠙⠒⠳⣇⢀⡼⠃⠀⢸⠀⠀⠀⠈⠳⣄⣀⣸⠈⠑⠦⠞⠁⠀⢤⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⣄⠀⠀⠀⢰⡄⠀⠀⢸⠳⢤⣀⠜⠙⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠈⣆⠀⣤⢤⠀⠀⣄⠀⠀⠀⠹⡀⠀⠀⠀⠀⠈⠦⣄⣀⡼⠈⠒⠴⠚⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠈⠉⠁⠘⠦⠞⢿⡀⢠⠆⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡵⣄⠀⠀⠀⣄⠀⢰⠆⠀⠀⠀⠀⠀⠀⠙⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⢀⣌⢦⡀⠀⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢤⣀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣋⡤⢒⠟⠉⣀⠤⠟⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⢀⢮⡠⠊⢁⡠⠔⠒⠒⠛⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣸⠏⢀⠔⠉⠀⣀⣠⠀⠀⠀⠀⠈⠉⠲⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣰⣃⡤⢒⡝⠉⣠⠔⠒⠒⠒⠦⣄⢀⣘⡄⠈⠉⠒⠲⠤⢄⡀⠀⠀⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠛⠁⠀⣾⡵⠋⠀⠀⠀⠀⠀⠀⠀⠙⢦⣇⠀⠀⠀⠀⠀⠀⢱⡀⠀⠘⣆⠀⠈⢆⠀⠀⠀⠀⠀⠀⢱⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠈⢧⠀⠈⢧⠀⠀⠀⠀⠀⠀⢇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠳⡄⠈⠳⡀⠀⠀⠀⠀⠸⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠘⢦⡀⠈⠳⡄⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠙⢦⡀⠈⠢⣀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⡀⠈⠒⢤⣈⠑⢾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠤⣌⣉⡒

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁

.　 +⠀ ⠀ ⠀˚⠀ ⣴⠟⠉⠉⠛⢦⡀⢀⣴⠛⠉⠈⠙⠻⣄ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠹⣦ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆ ⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⠀⠀⣠⡴⠛ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⠶⠋ ⠀⠀⠀+. *

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⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣄⣠⣼⠀⠀⠤⣀⠀⢀⡠⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡜⠛⠉⠀⠀⠀⢀⡑⢇⠀⣸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠊⠀⡤⢀⣀⠀⠀⡀⠑⡸⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠀⠀⡄⠀⠸⣿⠇⠐⠃⠀⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡀⠀⠱⡄⠀⠀⠀⡰⠄⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡃⠧⡀⠀⠿⠻⠟⠁⠀⠀⢀⠜⣆⠀⠀⠀⠀ ⠀⠀⠤⠔⠉⡀⠀⠘⢄⠀⣀⠠⠐⠢⢍⣉⣩⡘⠀⠀⠀⠀ ⡠⠚⡄⢀⠜⠀⠀⢐⠀⠄⠀⠀⠀⠈⠀⠀⠀⢀⠝⠶⡆⠀ ⡀⠀⠜⢳⠒⠂⠤⠀⡀⠁⠀⠀⠀⠐⣀⠀⢠⠣⠀⠀⠈⢂ ⢣⠀⢨⠃⠀⠀⠀⠀⠈⠁⠂⠄⡀⠀⠀⡡⠃⠀⠀⠀⣠⠂ ⢸⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢲⠀⠀⠀⣠⡚⠁⠀ ⠀⠑⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠉⢃⠇⠀⠀ ⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠈⢹⠁⠀⠀⠀ ⠀⠀⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠱⡌⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡑⠠⣀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢡⠀⠀⠈⠉⠆⠀⠉⢃⠀⠀⠀⢰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⢸⠀⠀⠈⢂⠀⠀⠄⢁⢌⢱⠀ ⠀⠀⠀⠀⠀⠐⠂⠑⠀⠀⢘⠀⠀⠀⠀⢢⠀⡔⠁⢀⠏⠀ ⠀⠀⠀⠀⠀⠈⠢⠤⠤⠤⠊⠀⠀⠀⠀⠀⠑⠂⠒⠁⠀⠀

⠀⠀⠀⠀⠀⢀⡴⠊⠉⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢾⠀⠀⠀⣈⣧⣤⣤⣀⣀⠀⠀⠀⡰⢋⠔⠊⠉⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣳⠖⠉⠁⠀⠀⠀⠀⠈⠙⢦⣼⢡⠊⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠃⠀⠀⣰⣶⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀⣀⡤⠚⠁⠀⠀⠀⠀⠀ ⠀⢀⡠⠖⠋⠁⠀⠀⠀⠹⠟⠀⠀⠀⠀⠀⠀⠀⢹⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣦⡤⢖⣲⠂⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⣯⣈⣙⣒⡤⠊⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⠭⠿⢆⡶⡄⠀⠀⠀⢀⡤⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡞⢦⠀⠀⠘⡢⢟⡖⢖⠦⣙⡄⠀⠀⡾⠀⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠧⣀⢤⡑⠤⠤⠦⢀⣀⣺⡦⠾⠱⡀⠀⡇⠀⢠⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠙⠒⠋⡿⠀⠀⠉⠒⠤⢭⣉⣁⡤⠋⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢹⠖⠒⠶⢶⠶⢶⠚⢧⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⢸⠀⠀⠀⠈⣧⠘⡇⠈⢣⡙⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢸⡀⠀⠀⠀⢿⠀⡇⠀⠀⠉⠢⢍⣒⠤⢄⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠴⠖⠚⢀⡇⠀⠀⠀⢸⠀⣇⣀⠀⠀⠀⠀⠀⠉⠓⠒⠭⡓⢄ ⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠘⠒⠦⢬⣉⡦⠀⠀⠀⠀⠀⠀⣀⡸⡸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⣒⣲⠬⠍⠒⠊⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⢌⣒⣒⣢⣤⣤⡀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣀⡠⠤⠤⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⠷⠆⠒⠊⠁⢈⠀⠀⢀⣄⠑⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⠋⣾⠋⠁⠀⡖⣲⣂⠀⠈⢆⠙⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⣠⡾⠋⠀⢸⡏⠄⠢⡄⠑⠽⠛⠀⠀⠀⠐⠀⢀⡼⠁⠀⠀ ⠀⠀⢀⣼⠏⠀⠀⠀⣼⡏⢌⡻⠇⠀⠀⠀⠀⠀⠀⠀⢠⡕⠁⠀⠀⠀ ⠀⣠⡟⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⠼⣿⣧⠀⠀⠀⠀ ⣰⠏⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠋⣿⣇⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⣠⣾⣿⣿⠇⠀⢸⣿⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⣾⡿⠯⠋⠁⠀⠀⣼⡿⠀⠀⠀ ⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢦⣤⣀⠀⠀⢰⣴⣿⠃⠀⠀⠀ ⠀⠀⠉⠛⠶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠈⠉⣛⣻⣿⠿⢣⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡟⠉⠙⣻⣟⡛⠛⠛⠛⠛⠛⠉⠁⠀⠀⠙⢝⡂⢄⠀ ⠀⠀⠀⠀⠀⣾⠁⠠⡴⢋⠡⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣡⣮⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⢱⣤⠁⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆ ⠀⠀⠀⠀⠚⠓⠒⠒⠚⠓⠘⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠓

⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠉⠻⣷⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠯⠙⢆⠀⠀⠀⠀⠈⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠻⣿⣿⣿⢿⣿⣿⣿⡿⠋⢀⡀⠀⠀⣣⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣦⣈⠟⠁⠀⠙⠢⢥⣶⣿⣿⣿⣷⣾⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⡿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠈⣙⠛⢿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣅⣂⣄⠀⠀⠀⢀⣔⣡⡤⡄⢸⣏⢻⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠂⠉⠙⠀⠈⠉⠒⠒⠚⠀⠈⠗⣸⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠰⣾⣿⡀⠀⠀⠄⠀⠀⠀⠀⠀⠀⣼⣾⣿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣷⣄⠀⢤⣤⠶⠂⠀⢀⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⣄⠀⠀⣀⠔⠁⡿⢿⣿⣿⣿⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡿⠋⠉⢹⠟⠿⣿⣿⠈⠉⠀⠀⠀⢇⠀⣿⡛⠋⠉⢱⠀⠀⠀ ⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⣼⠀⠀⠀⠂⠤⠁⠢⢀⣀⡤⠬⡏⢹⠁⠈⠙⢄⠀⠀ ⠀⠀⠀⡠⠊⠀⠀⠀⠀⡴⢁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠇⢸⠀⠀⠀⠈⢂⢀ ⠀⢠⠊⠀⠀⠀⢀⡄⢈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠈⢾ ⠔⠁⠀⠀⠀⡠⣁⣴⣾⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠈

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣅⣁⢈⣭⣿⣷⣾⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⣖⣦⣤⣲⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣯⡿⠟⠋⠉⠻⡟⢟⡽⣗⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⢞⢝⣍⢿⣹⡿⠳⣛⣋⣓⣩⣲⡤⡀⠀⠀⠀⠀⠀⣰⡿⣣⠟⠁⠀⠀⠀⠀⠀⠘⢑⡻⣟⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⣿⣽⡿⣿⣟⡁⠀⠀⠀⠉⠉⢻⣟⠋⠝⢓⢤⣠⡴⣶⡿⣟⣭⣓⠖⠢⣤⣀⣀⣀⣬⡶⣻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣹⣫⢿⡇⣃⠴⡀⣀⡠⠤⠶⠒⣺⠿⣟⢸⣯⣃⣳⡾⡲⠷⣮⣥⣼⣮⣤⣥⣾⣿⣿⣻⡿⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢘⠣⣿⣿⣶⣾⣿⣷⣶⡂⢩⡭⢊⣽⣿⡿⠿⠿⢿⣦⣴⣙⠈⠙⠏⠉⠋⠉⠀⠩⠀⠂⠀⢀⣤⢤⣤⣤⣂⣅⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠉⠉⠙⠟⡟⢛⠋⡵⣻⣿⠏⠀⠀⠀⠘⢿⢯⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⠖⣫⠵⢏⣽⣿⣿⡧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⣩⢅⡏⠀⠀⠀⠀⠀⠈⠫⣳⠄⢹⡆⠀⠀⠀⠀⣢⣴⣿⣿⣿⠟⠁⠈⢿⢿⡿⠄⠀ ⠀⠀⣰⣾⣏⣩⣉⠰⣄⠀⠀⠀⠀⣠⢖⣴⢟⠎⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣾⣿⡀⠀⢠⣾⣿⣿⡿⠟⠁⠀⠀⠀⣸⣾⠣⠂⢀ ⠀⣰⡇⠈⠙⠤⣽⣿⣹⣷⣤⣈⣴⣩⡤⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠛⠛⡫⠁⠀⠀⠀⣀⣴⣾⡿⠃⠁⠀⠘ ⢰⣿⣹⡄⠀⠀⠀⠉⠛⠻⠿⠛⠋⠉⠂⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⡀⣤⡶⠁⢼⣿⠃⠀⠀⠀⠀ ⢹⡇⠂⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡁⡆⠡⣬⣧⣀⡜⠁⠀⠀⠀⠀⠀ ⠀⠱⡄⢂⠣⠀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢶⠃⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠢⢀⣙⠿⣿⡿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡾⡄⠀⠀⠀⣀⣀⠀⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠈⠑⠊⠁⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢿⣿⣿⡶⡤⣕⡤⠀⠂⠀ ⠀⢀⠀⣤⠔⠆⢶⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠄⠀⠀ ⠁⣠⡎⠀⣀⣠⡾⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠄⠀⠀⠀ ⠀⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀ ⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⋆౨ৎ˚⟡˖ ࣪⋆୨୧⋆⋆ ˚｡⋆୨♡୧⋆ ˚｡⋆

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠖⠶⠛⠋⠓⢦⡴⠚⠙⠋⠉⠀⠀⢠⡈⢙⡷⠶⠦⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⢀⣀⡤⠤⠤⠥⠤⠤⠤⠤⣤⡀⠀⠉⠉⠀⠀⠀⠀⠹⢦⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣧⠀⠀⠀ ⠀⠀⠀⢠⡞⠁⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⢐⣿⡀⠀⠀ ⠀⠀⢠⡏⠀⠀⡀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠳⠶⠟⠁⢸⡇⠀⠀ ⠀⢀⡾⠳⠒⠋⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀ ⠀⢸⠁⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀ ⠀⢸⠀⠀⠀⢀⣿⣾⣿⣿⣶⣶⡄⠀⠀⣴⡿⢿⣿⣿⣶⣦⡀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⢦⣀⣀⣼⠀ ⠀⣸⣧⠀⠀⢰⣿⣾⣿⣿⣲⣧⣿⠀⠀⠉⣵⣯⣭⣭⣷⡟⡿⠀⠀⢘⣷⠀⠀⠀⠀⠀⠀⠀⠉⠉⢸⠀ ⣲⠋⠀⠀⠀⢀⡟⠷⣿⣿⡿⢿⠇⠀⠀⠀⢻⢼⣻⣿⠼⠃⠀⠀⠀⠀⢹⣆⠀⣠⡄⠀⠀⠀⠀⠀⣸⠀ ⢹⡄⠀⠀⠀⢸⠃⠀⠘⠓⠋⡟⠀⠀⣀⠀⠈⠙⠛⠋⠀⠀⠀⠀⠀⠀⣾⠊⠉⠉⠀⠀⠀⠀⠀⣰⡇⠀ ⠁⡇⠀⢀⠀⢿⠀⠀⠀⠀⣸⠃⠀⠀⠉⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣠⠾⠋⠀⠀ ⠀⣇⠀⠘⢦⣸⡀⠀⠀⢀⣽⠲⠤⡖⠉⠓⠋⠙⣦⡀⠀⠀⠀⠀⠀⢸⡃⠀⠀⠀⢀⡴⠚⠁⠀⠀⠀⠀ ⠀⠘⢷⡀⠀⠘⣇⠀⠀⠺⢅⡀⡀⣹⡆⠀⠀⢀⠘⠃⠀⠀⠀⠀⠀⠈⢷⣤⡤⢶⠾⢷⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⠤⢤⣿⠀⠀⠀⠀⠙⣍⡙⢛⠉⠉⠙⠀⠀⠀⠀⠀⠀⠀⢀⡾⢀⡴⠋⠀⢸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⣉⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡶⠋⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣨⠿⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠴⣻⡽⠋⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠋⠀⠀⠀⣿⢯⠛⠶⠤⠤⠴⠖⠋⠉⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⢻⢦⣙⣦⠤⠤⠤⠤⠖⢛⣩⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀ ⠀⠀⠀⢰⠶⠷⠤⠤⠶⠶⠾⠷⠿⠽⠶⠶⠶⠶⠶⠾⠷⠾⠦⠴⠶⠶⠶⠶⠶⠦⠶⠶⠤⠤⠼⢷⢦⡆ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⢰⡆⠀⠀⠀⢀⢀⠀⢀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⣿⣻⡄⣴⡏⢻⡦⣾⠙⣿⢼⡿⢻⡿⣿⠺⣿⣃⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠞⠋⠉⠻⠘⢟⠛⠃⠙⠛⠻⠘⠋⠙⠇⠛⠝⠟⠋⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠟⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀

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