Porns Emojis & Text

can yall stop making a p0rn or not good content? i saw someone say not need to complaining but, it's not COMPLAINING? it's just bad because there are a children trying to find cute kaomojis to copy or whatever! please stop posting that

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⠀⠀⠀⠀⠀ ⠀⠀⠂⠠⠀⠀⠀⠀⠀⠀⠀⠉⡏⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀ ⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣀⣾⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀ ⠈⢀⠀⠆⢘⠀⠀⠀⠀⠃⢸⡇⡟⢸⡇⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⢸⠀⠀⠀⢘⠀⠀⠀⠜⡇⢙⡆⣖⠁⡞⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⢳⠀⠀⠀⠨⠀⠀⠀⠀⡞⡀⣄⠤⣠⠀⠀⠀⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠹⠀⠀⠠⠀⠀⠀⠏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠀⠀⠀⠀ ⠀⡄⠹⠁⢀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀ ⠀⠀⡄⠙⠁⠀⠀⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⡌⡱⠢⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⣄⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⢄⠓⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢰⠀⡆⠸⠀⠀⠀⠀ ⠈⠉⠈⠀⠦⠑⡽⡄⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡰⠀⠀⠄⠭⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢆⠓⣍⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⠀⠀⠀⠄⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠂⡠⣤⢷⠛⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⣿⡹⠀⠀⠀⠀⣷⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⡇⣧⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⠀⠀⠀⡄⢸⠀⠀⠀ ⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⠉⡟⡿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀⠀⠀⠀⢥⠀⠀⠀ ⠀⠀⠈⡐⠀⠀⠀⠀⠟⡴⢀⠀⡀⣆⠳⠈⠀⠀⠀⠀⠀⠀⠁⠉⠊⠒⠒⠒⠉⠈⢸⠀⠀⠀⠀⡄⠹⠀⠀ ⠄⣀⠀⠀⠀⠀⠀⡟⢠⠀⠀⠀⠀⠀⠀⣄⠳⠈⠋⠖⠠⣀⠀⠀⠀⠀⠀⠀⠀⣀⡦⠈⠀⠀⠀⠀⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⡄⠻⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⣄⣱⢬⠀⠀⠀⠀⠀⠀⠀⡄⠙⠀⠀⠀⠀⠇⠻⠀⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⢹ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⠳⠉⠈⠀⠀⠀⠀⠀⡄⠳⠈⠀⠀⠀⢀⠀⠀⠀⠀⠀⠋⡸⠀⠀⠀⠀⠀⠀⡚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⡹⢄⠤⠤⠢⢀⠀⡀⣄⠦⠻⠒⠒⠒⠂⠀⡀⢆⢀⠀⠀⠀⠀⠀⠃⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠢⠒⠒⠖⠤⡤⣦⣷⢸⠀⡀⣀⠄⠤⠓⠙⠀⠀⠀⠀⠀⠋⡴⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠊⠖⡤⣤⠤⠓⠈⠀⠀⡇⣿⢿⠿⠶⠶⡤⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠋⡿⣼⢀⠀⠀⠀⠀⠀⠀⡀⢦⠙⣿⣇⣿⣿⠺⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢿⠛⡷⣾⣧⣼⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⡀⣧⠘⣇⣼⢿⢿⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣰⠜⢁⠞⢥⠻⠙⠘⠀⠀⠀⠀⠀⠀⠁⠣⢦⡝⣼⡸⣿⢿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⡄⣿⣸⠀⢃⡰⠁⣳⣸⢇⢧⠀⠀⠀⠈⠀⠉⡀⣿⢼⡰⢧⢸⢸⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⢀⠃⢸⠀⡌⣸⠃⢰⠁⢰⡄⢦⣶⣷⡿⠙⣰⠉⠀⡟⢁⢰⡿⠐⠀⠀ ⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢿⠈⡇⠀⠀⢧⢠⡼⠀⡞⠑⣉⢋⠟⠽⡯⣸⡇⣿⣿⣾⡘⡇⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⡇⢈⠀⢱⠀⡀⠸⠇⡏⢀⠃⣾⣴⣁⣟⣹⠋⣿⣿⣿⣶⢛⡿⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠉⡌⠱⠀⣆⡈⣷⠛⣿⢚⠴⣀⣁⣞⣿⣿⣲⡖⣥⡿⢤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣲⠩⠈⠀⠀⠀⣷⢙⠉⠉⠖⡠⠿⢒⠁⠍⠟⣶⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠶⠛⠯⡝⢿⠿⠿⡨⣧⢩⠞⢶⣠⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣤⣀⢤⡤⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣸⠀⠀⣆⣿⣿⣿⣿⣿⣿ ⣿⠿⠿⠾⠴⠠⠀⠀⠀⠀⠋⡿⣿⣿⣿⢀⠀⠀⡇⣿⣿⣿⣿⣿⣿ ⣿⣿⣸⠀⠀⠀⠀⠁⠟⣿⣿⣿⣿⣿⣿⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿ ⣿⣿⢹⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣸⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⠙⠐⠀⠀⠀⣄⣀⣄⣿⣿⢸⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⠈⠀⠈⠀⠀⠀⣠⠀⡄⠑⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢿⡍⢨⠀⠀⠀⠁⠟⠙⠀⢢⠈⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠹⠉⠉⠟⣿⣿⡀⠢⠖⢠⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣾⣦⣀⣀⣄⣦⢻⠀⠀⠀⠀⡀⣀⣧⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣀⠰⠀⠀⠀⠀⣇⠈⠀⠀⠀⠀⠀⠀⣄⣷⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠝⢐⠀⠀⠀⠀⡟⢸⠀⠀⠀⠀⠀⠘⠀⠀⣦⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠟⡿⣿⢻⠀⠀⠀⠀⠀⣶⠀⠀⠁⡟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠁⡿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠃⡿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠈⠀⠀⠀⠃⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠖⠶⣷⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⡀⣷⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡇⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠉⠀⠀⠁⠋⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣶⣾⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣦⣴⣤⣶⣶⣿⣿⣿⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣻⠈⡀⢀⠀⠀⠀⠀⠀⠀⠁⠛⠋⠛⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢸⠀⠀⠀⠀⠀⠀⠀⠀⡟⣸⣷⢠⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠃⠀⠀⠀⠀⠀⠀⠁⣿⢸⡇⠸⠀⠀⠀⠀⠀⠀⠀⣀⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠖⣠ ⢄⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠁⡼⣿⢀⡇⣇⠘⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⢀⠀⠀ ⠀⡀⢢⠙⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡴⠁⣿⠀⡇⠹⣦⠘⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠔⢀⠀⠀⠀⠀ ⠀⠀⠀⡀⢄⠓⠈⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠏⣧⣿⠉⡅⣿⠈⣧⠘⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠁⠚⡴⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠤⠓⠈⠀⠇⣼⠀⠀⠀⠀⠀⡎⠃⢡⡿⣿⣿⣽⣿⣦⢹⣄⠐⠀⠀⠀⠀⡌⢻⠀⠁⠞⡴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠦⡿⢼⠀⠀⠀⠀⡰⠀⠁⡿⣿⢧⣦⣿⣿⠙⣦⢻⠀⠀⠀⠀⠁⢧⣿⢾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉ ⠢⠵⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⠙⠀⠀⠀⠀⠀⡇⣾⢃⣰⠏⣿⢿⣮⠘⡄⠹⠀⠈⠑⠏⡿⣽⢀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠔⡤⣀⣀ ⠀⠀⡀⣄⠦⠑⠀⠀⠀⠀⠁⠝⠀⣄⣦⠸⠀⠃⠀⡏⢀⣹⡿⢀⣯⣼⢻⢆⢻⣆⠘⡿⣿⣠⢤⡀⢳⠀⠀⠀⠀⠋⠔⡠⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢄⠲⠉⠀⡆⣘⣄⠢⠀⡇⠀⠀⠆⣿⠀⡇⢉⠉⡈⣿⣿⠰⣷⠃⢰⣷⢀⠀⠀⠀⡆⠀⠉⠚⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠑⠉⠋⡖⢣⠀⠀⢧⠀⡇⣤⣠⢀⣿⣿⠞⢃⣴⠇⣴⠲⠙⠚⠖⠤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠹⠀⡀⢹⡄⠈⠟⣼⠀⠄⡇⣿⣿⢰⢁⠟⣼⠀⠋⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠻⠀⡄⠱⢻⣧⢿⠃⠀⡁⣿⣿⠟⣾⣠⠃⡼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠐⡀⣧⣿⣿⣩⡿⣿⣿⣿⣠⠁⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣶⣿⣿⣿⣴⢁⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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) ㅅ (⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠙⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⣆⠈⠀⠄⡠⠀⠀⠋⠖⠤⣤⣿⣿⣿⣿⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢍⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢹⠀⢧⠈⠀⠀⠀⡞⢀⠀⠀⠀⡄⣿⣿⣿⠚ ⠀⠋⠉⠀⠀⠀⠀⠀⠀⠁⠉⠋⠖⣠⣀⣀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠈⡀⢻⠈⠀⡜⠀⠀⠀⠀⠁⠋⠖⣤⣀⠀ ⠀⢃⡀⢤⠑⣯⣷⣈⣀⣀⠀⠚⠴⡠⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡆⣘⡷⢺⠹⠊⠖⡤⣉⠖⡤⣀⠀⠀ ⠀⡀⢿⠉⠈⣀⢠⣄⠯⠺⠛⠛⠒⠶⣴⡤⣆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢾⣠⠃⠔⣠⢀⠀⠀⠀⠀⠀ ⡿⣈⢀⠀⡀⠉⡒⣠⢁⠞⣀⠀⠲⠓⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡇⢆⠤⢀⠀⠀⠀⠀⠉⠖⠼⠀ ⠀⣁⢓⠈⣀⣆⠈⠀⢀⠀⠀⠀⠀⠀⢆⠀⠋⡐⠱⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠖⠡⠊⠔⣠⢀⠀⢸⠀ ⠀⠸⠀⡆⢴⠣⢹⠀⠀⠀⠀⠀⠀⠀⠇⠼⢀⠀⡀⡳⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀⡏⢀⡄⠃⠿⣾⢔⠤⣀⣀⢤⠰⢸⠀ ⠇⢹⠘⠀⠀⡇⡀⢤⠑⠈⠀⠀⠀⠋⣰⠀⠀⠀⠀⠀⢦⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢠⠀⠏⢺⠕⣾⣴⣀⠀⠀⠀⠀⠀⠀⠃⢠⠀ ⡀⣿⢸⠄⠑⡇⢰⠀⠀⡀⢄⠦⡓⢈⠀⠀⠀⠀⠀⠀⠉⡞⢶⠓⠉⠀⠀⠀⠀⠀⠊⡤⠉⠊⡤⢀⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠁⡜⠀⠀ ⠃⡀⠀⠀⠑⣤⠸⠀⠀⠀⠀⠀⠀⡤⣤⢓⠈⠴⠤⣀⢀⠀⠁⠞⣦⣝⣬⠦⣉⣒⣝⣤⣢⠙⠀⡼⠀⠀⠀⠀⠀⠊⡤⣇⠀⠃⣼⢀⠀⠀ ⡄⢿⠀⠀⡀⠲⡶⠒⠙⠀⠀⠦⠈⠀⠀⡁⢶⠀⠀⠀⠉⠟⣰⠀⠀⡀⣤⠷⠀⠀⡀⢦⠙⡀⢦⠙⠈⠀⠀⠀⠀⠀⠔⢁⠞⣤⠸⠀⠀⠀ ⠀⣇⠹⠀⠀⠀⠁⠉⣿⢤⠒⠋⣤⠤⠾⢤⠐⠓⠤⣧⣿⣸⠀⠀⠀⠀⠀⡄⠸⠀⠀⠀⡀⢤⠓⡉⣌⠤⠀⠀⠋⠯⣴⣠⠀⠃⢠⠀⠀⠀ ⠀⡀⡀⢄⣷⣘⢀⠀⣀⠀⠀⠀⠀⠇⢀⠀⠀⡀⠀⠀⣧⢈⠀⠀⠀⠀⠀⠀⢣⠈⠀⠀⠀⠀⠀⠀⡀⣀⣀⢀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈ ⡿⣿⣿⠿⠙⠀⠀⠀⠀⠀⠀⠁⠋⠿⣿⣸⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠀⠀⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣧⣿⣿⣿⣿⢿⠙⠀⠀⠀⠟⣿⣿⣿⣿⣿⠻⣘⣋⣙⣁⣛⣭⣧⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⡟⣿⣿⣿⣿⣿⣴⣤⣤⣤⣤⣤⣤⣤⣤⣀ ⠀⣄⣷⣿⣿⣿⣿⢿⠻⡿⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⠸⣷⣸⡟⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣾⢡⡿⣿⣿⣿⣿⣿⣱⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣾⣵⣉⡉⡟⣿⣿⣿⡈⢃⣿⣿⣿⣿⠛⣛⣛⣙⣉⣉⣉⣉⢛⠟⣿⣿⣿⣿⣿⣿⣱⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣦⣿⣿⣿⣾⣴⣀⠟⣿⣿⣿⣿⣿⣿⣿⢸⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣤⣀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣾⢀⡀⣦⣶⣿⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣶⣿⣾⣶⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣯⣻⣽⢧⠰⡀⢄⠣⣘⢯⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣮⣻⢦⣲⣓⣻⢁⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠀⠁⡾⢀⡇⢰⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣻⠁⡾⢀⠟⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⡄⣷⢸⠀⣆⠹⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠀⡀⣷⠈⠀⣄⠙⠀ ⠀⠀⠀⠀⠀⠀⠁⠋⡷⣽⠦⠻⡟⢰⠀⠀⡀⢸ ⠀⠀⠀⠀⠋⠖⣀⢀⡅⣻⣴⢦⣝⠳⠙⠀⠞⢀ ⣢⣠⣤⢱⢺⠀⠀⠏⣽⠈⠉⠈⣌⢿⡄⢻⢹⠀ ⣒⣒⣒⢑⠏⠾⠴⢤⠤⠤⠳⣎⢸⡇⠸⡇⣻⠀ ⠀⠀⠃⢀⠀⣿⢠⠀⠀⠀⠀⣄⠹⡀⢁⠉⣞⠀ ⠀⠀⠀⣤⣠⣠⠀⠀⠀⠀⠀⠀⠀⠉⡗⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢺⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀ ⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠇⣿⣿⠹⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣁⣋⣟⣿⣿⣿⣿⣴⢀⠀⠀⠀⡿⣿⣿⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠇⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠇⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣦⣿⣿⣿⣿⠻⠿⠻⠀⠀⡇⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⠟⣿⢻⣮⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣾⣠⣦⣿⡝⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣦⣶⣶⣠⠀⠀⢿⣝⣩⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠛⠿⠿⠻⠙⡄⣿⣿⣿⣿⢿⠿⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⠸⣷⣿⣿⣿⣿⣿⣿⠻⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⢠⡇⣿⣿⣿⣿⣿⣧⣿⣿⠙⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣠⢀⠀⡄⣿⣿⣿⣿⣿⠉⣿⣿⣾⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣾⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣼⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣩⣉⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿⣿⣿⢿⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣶⣿⣿⣾⣴⠀⠀⠀ ─▀▄▄▀▄▄▄▀───────────── ──▓▒▒▒▒█░░▒█──────────── ─▀▓▒▒░░░█░░▒█─────────── ─▓▒▒░░░░█░▀▄▄▀▀▀▄▄▀───── ▀▓▒░░░░█▒█▒▒▒░░█▀░░█──── ▓▒▒░░░▒▒█▓▒▒░░░░█░░░█─── ▓▒░░░░▒▀▓▒▒░░░░░░░░░█─── ▓▒░░░▒▀▓▒▄▀▒░░░░░░▀▄──── ▓▒░░▒▀▓▒▒▒▒▄▄▀▀▀▄█────── ▓▒░▒▓▄▒▒▒▒░░░░░░█─────── █░░▓▄▒▒▒░░░░░░▀▄──────── █░▒█▒▒▒░░░░░░█────────── █▒█▒▒▒░░░░░░█─────────── ─█▒▒▒░░░░░▀▄──────────── ⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠙⠉⠉⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸ ⡀⣀⣀⣀⣀⣀⣀⣄⣧⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣶⢰⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⢿⣿⣿⢿⠹⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⠸⠀⡇⣿⣿⣿⣿⣿⣾⣶⣶⣶⣶⣶⣶⣴⣠⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠉⠉⠈⠀⠀⡇⣿⣿⣿⣿⣿⢻⠀⡇⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡆⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠉⠉⡉⣯⣿⣿⣿⣿⣿⣿⣶⣿⣿⣼⣋⣛⣙⣦⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠄⣿⣿⣿⢿⡙⣦⣿⣿⣿⣿⣿⣰⠁⣿⣿⣿⣿⣿⣿⣿⠹⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⠻⣌⣶⣶⣤⣀⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⠻⠈⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⢿⠘⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⣤⣶⣶⣿⣾⣶⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣶⣿⣿⣶⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⠿⠿⠿⠻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣿⣿⣿⣿⣿⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣤⣤⣤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠓⠛⡛⠻⠛⠛⠛⠛⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣿⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠋⠛⠘⠜⠀⠝⠛⠟⠘ ⠁⡏⡯⣏⣿⣯⡛⢹⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⡀⣀⢀⠀⣀⣀⣀⢀ ⡆⣶⣶⢶⣶⡶⣶⣶⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣿⣿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⢻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⣿⣿⣿⣿⣼⢀⣄⠢⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣷⣿⣿⣿⢸⠀⠀⠀⠀⢄⠢⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡟⣿⣿⣿⢻⠀⠁⠀⠀⠀⠀⣄⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢡⣿⣿⣿⣾⣶⢤⢀⠀⠀⠀⠀⠀⡄⠑⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡱⡾⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⢄⠒⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⢋⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠕⣊⡠⢀⠁⠂⠀⠠⠀⠉⠐⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠒⠒⠒⠒⠒⠒⠀⠒⠒⠶⠲⣤⡠⣼⠐⠤⠀⠀⠀⠀⠀⢀⠀⠘⠁⠊⠝⡫⢟⢻⠸⠀⠀⠀⠀⠀⠀ ⣀⣧⢄⠤⠤⠤⠤⠤⠢⣐⢉⠀⠀⠀⠀⠀⠁⠈⠀⠀⠄⡠⠀⠀⠠⡜⡠⢀⠀⠀⠀⠁⠙⠓⡝⠶⣔⠤⣀⣷⣿⣿⣿⡎⠈⠀⠀⠀⠀⠀ ⠃⣹⠊⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⣀⣀⢀⠀⠀⠀⠀⠂⠐⠋⡹⠉⠉⠋⠒⠶⡄⢤⣀⢀⠀⠀⠀⠀⠀⡀⣿⣿⣿⢻⢡⠀⠀⠀⠀⠀ ⡶⡴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠜⠑⠈⠉⠉⠂⠗⡶⣤⡼⢄⠞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣷⣿⣿⡸⠱⠀⠀⠀⠀ ⠈⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣝⠈⠉⣴⠀⣀⣀⢀⠄⡁⠊⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⣿⣿⣿⡘⠐⠀⠀⠀ ⢿⠀⠀⢿⢞⠀⠀⠀⠀⠀⠀⠀⠉⠈⠒⣒⠒⠒⠐⠄⠤⠤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⣿⣿⣿⢿⡈⠱⠀⠀ ⣿⢿⠀⡇⠽⠾⠳⠈⠁⠚⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⣿⣿⣿⣿⢿⡘⠣⠀ ⣿⣿⢿⡿⣾⢠⣉⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠃⣿⣿⣿⣿⣿⣿⠘⢆ ⣿⣿⣿⣿⠙⠏⣰⡄⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢀⠀⡏⣿⣿⣿⣿⣿⣿⣿⠘ ⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢀⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡔⢀⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠎⣠⠀⠀⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⡠⠀⠁⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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

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

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

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

⠀⠀⠀⠀⠀⠀⣏⢺⠒⠤⣀⢀⠉⠚⡴⣡⣟⣤⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⡞⣀⣷⣻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡯⣠⠀⠒⠴⠤⣀⢀⠀⠀⣇⣸⠀⠀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣠⠀⠀⠀⣵⣹⣄⢦⠄⠦⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠋⠖⣿⢉⠈⠀⠀⠀⠀⠀⠀⠀⠀⡟⢸⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠇⣼⢀⠀⠀⠀⠀⠀⣷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠒⠴⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡇⠀⠀⡀⣄⢤⠳⠙⠈⠀⠀⠀⠀⣿⢹⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⡇⢧⠢⠒⠒⠒⠓⠙⠉⠉⠚⠒⠿⣭⣉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⡇⠀⠀⠀⠀⠀⠀⡀⣍⢯⠛⠴⠷⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡇⢸⠚⠐⠒⠒⠑⡉⣄⢦⣙⣀⢀⠀⠀⠀⠀⣀⢤⠦⠛⠒⠒⠒⠀⠀⠀ ⣀⣀⣤⠤⠴⠷⠛⠙⠉⡭⣀⡿⣿⠀⡇⣿⡜⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⣿⣀⡀⢄⠤⠲⡓⣍⠦⡙⢦⠘⠀⠀⠀⠀⠀⠀⠀⡀⣧⢙⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⣄⣦⡳⢹⡇⣸⢻⡄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰⡾⣼⠀⠀⠀⠉⠀⠀⡀⢦⡙⢦⢙⠀⠀⠀⠀⠀⠀⠀⠀⡇⠹⣄⣠⣤⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣿⡄⠻⡀⢦⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣠⠏⢰⢸⠀⠁⡏⣠⢣⠈⠀⠀⡀⢧⡘⢳⠈⠀⠀⠀⠀⠀⠋⣽⠚⣒⠶⠤⠤ ⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣯⢦⠳⠉⣀⢤⠢⠓⠉⠈⠀⠀⠀⠀⠀⠉⠞⣠⠁⠞⢠⠃⢻⠴⣠⢀⠀⠀⢧⠈⠀⠀⠀⣦⡘⢷⠀⠁⠊⠖⡤⣀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡎⢀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⡇⠠⠀⡀⣤⠦⠒⠙⠉⣈⠀⠀⠀⠀⠀⠁⠋⠴⣠⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢶⠞⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠖⢀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢺⡛⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⣤⠦⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠖⡠⢀ ⢦⠒⠶⢽⠮⠒⠛⠉⠈⠀⠀⠀⠉⠞⣣⣴⠏⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⡟⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠉⠖⡤⣀⣸⠀⠀⠀ ⠀⠀⠀⠀⣀⣄⠦⡓⣿⣈⣤⣶⣻⠖⢠⠏⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢹⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠁⠿⣨⢀⠀⢦⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⠳⠙⠙⠳⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣴⣵⠳⠈⠀⠀⠀⠀⠀⠀⠀⢶⠉⠀⠀⠀⠉⠞⣷⠈⣀⣄⢤⠧⡿⢠⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣶⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣠⠀⡆⠛⢈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⢀⠀⡀⢳⠀⠄⡤⣿⣸⢷⠈⠀⠃ ⣀⣄⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⡴⠀⠀⠀⠀⠀⣀⢤⠶⠶⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠁⠛⡿⢀⢻⡿⢸⠀⣾ ⠀⠀⠀⡀⢤⠲⠙⠈⠀⠀⠀⠀⠀⠀⠀⡀⢤⠳⠙⠉⠈⠀⠀⠀⠀⠀⠉⠉⠓⠾⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣶⣿⣿⠀⣽⢀⠉⡞⢳ ⠀⠀⠀⠀⠀⠀⠀⣀⣄⠤⠤⠦⠶⠒⠛⠶⠤⠤⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠙⠀⠀⠀⠀⠀⠋⠼⠿⢿⢿⡌⢻⣽⡼⡏⣠⣀⢀⠟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠈⠀⠀⠀⣸⠀⠀⣠⣷⣿⣤⣠⠋⣸⣀⣀⣇⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠙⠈⠀⢳⠀⠀⠀⡀⣷⠿⣾⣠⠁⠀⠀⡿⣾⢠ ⠀⠀⠀⠀⠀⠀⠀⠃⠛⠖⠴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣉⣄⡤⢷⠙⠀⠀⡆⣿⢠⠞⣠⠀⠃⣾⢰⠀ ⠀⠀⠀⠂⠒⠒⠖⡴⣤⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠙⡀⣦⣽⠳⠈⣿⠏⢸⠀⠋⣼⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢽⠷⡿⣻⣧⣿⣣⢸⡟⣠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣧⣸⣀⠀⠀⡇⢿⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣶⢷⠻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠛⠿⠿⠛⠙⠀⠀⠀⠀⠀⠁⠛⠛⠛⠙⠈⠀⠀⠀⡄⣿⠉⠈⡀⣄⣿⠻⠀⠀⠁⠉⠉⠉⠉⠀⠀⠀⠀⠀⠟⣾⢷⠿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⣿⣀⠀⠀⡀⣄⢷⠙⠈⠀⠀⣿⣼⣀⣀⣤⣧⢿⠻⠀⠀⡀⣤⣶⣶⣶⣶⣿⢰⠟⣾⣠⣀⣤⣤⣶⠿⠛⠀⠀⣿⠈⠀⠀⣄⣷⠙⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⣿⠙⠉⠉⠛⠿⣶⣤⣶⠿⠙⣦⢿⠻⠿⡿⣶⣤⣿⠘⠀⠀⠀⠀⠀⠀⡇⣾⠀⣆⢿⠙⠉⠛⠟⡿⣿⣼⠀⠀⡄⣦⢷⠿⠛⠛⣿⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣄⣤⣤⣀⢀⠀⠀⠀⡀⣤⣷⠻⣈⢀⠀⠀⠀⣧⢸⠀⠀⠀⠀⠀⠀⣿⢰⠀⠀⡀⣄⣤⣀⣀⡟⣼⠀⠀⠀⠀⠀⠀⠀⠋⡿⣴⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⠻⠈⠀⠀⡇⢹⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀⠀⠃⡿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠿⠁⠛⣿⣿⠈⠀⡇⣿⠀⠀⠀⠀⠀⡿⢰⠀⠀⠀⠀⠀⠀⠀⣿⢠⠀⠀⠀⠀⠀⠟⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⡾⢠⠛⢴⠟⣴⠀⠀⠀⣷⢈⣷⣏⣿⣾⢠⠀⡄⣿⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠁⡟⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡉⢿⠛⣿⠙⣯⠸⠀⠀⠇⣾⢧⡾⣸⠋⣿⠰⠀⠀⣿⠀⠀⠀⠁⣿⢠⠀⠀⠀⠀⠀⠀⠀⡏⢸⠀⠀⠀⠁⡿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣦⣹⣿⣐⡆⣻⠀⠀⠀⡏⢿⡀⢀⠀⣦⣻⠀⠀⠀⣿⠀⠀⠀⡇⣽⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠁⡿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⣿⣨⠀⠗⣤⠀⠀⠀⣿⣴⠀⠀⠀⣿⣸⠀⠀⠀⣿⠸⠀⠀⡀⣷⠹⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠟⠾⣴⣤⣤⣤⣶⠿⠛⠈⠁⡟⢰⠀⠀⠀⠀⢿⠀⠀⠀⣄⣷⠹⠈⠀⡀⣧⠻⠀⠀⠀⠀⠀⠀⣿⠀⠀⡟⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠏⣾⣠⠀⠀⠀⠀⠆⠿⠿⣛⣦⡿⢨⠀⠀⠀⠀⡟⢠⠀⠀⠀⠀⠀⣄⣷⠻⠈⠀⣦⢻⠈⠀⠀⠀⠀⣿⠀⠃⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⣿⢀⠷⠙⠉⠈⠀⠀⡀⣀⣀⠀⡀⣷⡿⠰⠀⠀⣷⣿⠿⠛⠉⠀⠀⠀⠀⣀⣦⠻⠈⣄⢿⠘⠀⠀⠀⣿⠀⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⠦⠶⣤⣀⢀⡄⣷⠿⠳⠚⠀⠀⡁⢻⠀⠀⠀⡿⣿⣿⣿⣿⣿⠿⠛⠙⠈⠀⡀⣦⢿⡙⣿⠻⠛⠛⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⣿⠘⠀⠀⠀⠀⠀⠀⣆⠳⠛⠈⠋⣾⢀⠀⠀⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠛⠙⣟⣿⣠⣀⣀⣄⣷⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣰⣆⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠘⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⣿⠙⠀⠀⠀⠁⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⠸⠀⡀⢦⠙⠈⠀⠀⠀⠛⠛⡟⣸⠀⠀⠀⠃⣸⣧⢻⠀⡀⣀⣀⣀⣀⣄⣤⣤⣧⣿⢷⠿⡻⣿⣿⣾⣴⣿⣽⣤⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣦⠙⠀⠀⠀⣀⢦⠶⡶⢠⠀⠀⠀⠀⠀⠇⣴⠀⠀⣧⢻⠀⠀⠀⠀⠀⠀⠀⠃⣾⢀⠀⠀⠀⠀⠀⠀⠀⣇⣿⠻⠀⠀⡀⣄⣦⠷⠛⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡾⠀⠀⠀⠀⣦⢻⠈⠀⠀⠀⠀⠏⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⢿⠘⠀⠀⠀⠀⡀⣄⣧⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⠳⠙⠏⠹⠉⠛⣴⣦⠶⡴⢀⠀⠀⠀⠀⠀⠀⣄⢷⠙⠀⠀⠏⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⠻⠈⠀⠀⠀⠀⠀⣷⠘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⡀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⢿⠟⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⠙⠀⠀⠀⠀⡄⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⢿⠙⠀⠀⠀⣇⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⢿⠙⠀⡀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠛⠙⠉⠈⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⢿⠻⣯⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⣤⣤⣶⢶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣉⣛⠿⠾⠶⠿⠻⠛⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣵⣛⠟⠿⠿⠻⠛⣈⣦⢿⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⠀⠀⠀⠀⠀⠀⠀⠀⠏⣾⢃⣿⣿⣿⣿⣿⣿⣿⣿⠸⡀⣿⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⠀⠀⠀⠀⠀⠀⠀⣿⢀⡄⣠⣀⣀⣀⣀⣀⣄⣤⣶⠀⡇⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⡿⢻⠈⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠋⠈⠀⠁⠛⠀⠀⠀⠀⡇⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⠀⠀⣄⢷⠘⠀⠀⠀⠀⠀⣧⢻⠀⠀⣶⢰⠀⡆⣾⢠⠀⠀⠁⡿⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢿⠙⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⣦⢿⠙⠀⠀⠀⠀⠀⠀⠁⠋⡾⣠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⣶⣤⢀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣶⠷⠿⠿⠿⡶⣴⣠⠀⠀⠀

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠻⡙⠭⡌⠳⢍⠣⡑⣌⠲⢭⠓⠌⡜⠒⢈⠱⣈⠡⢂⡄⠐⢡⠠⠐⠠⠀⠀⠀⠋⠛⠿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣶⣯⣠⢀⠁⠋⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⠌⡑ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⢛⣉⠦⢆⠲⣙⠭⣆⡢⠜⡊⠑⡄⠂⢄⠠⡐⠀⠀⠀⠀⠋⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⣿⣰⠃⡳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠅⡈⠱ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠛⡙⢩⢤⠖⢊⡑⡌⠀⠠⠐⠀⠀⠀⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⢃⡟⣿⡿⣜⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣵⢀⠂⡄⠋⡄⡘ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠛⡉⢈⠠⠀⠀⠀⡤⣤⣤⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⢡⣿⣿⣿⣿⣿⢿⡛⣬⣿⣿⣿⣿⣿⣶⣴⣀⠐⠊⡡⠜⢪⠔⣫⡔ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⠡⠟⠿⠿⠿⠻⠙⠉⡀⣀⣀⣤⣦⣶⣿⣿⣿⣿⣿⣼⡟⣿⣿⣿⣿⣿⣿⣿⣿⡘⣠⣀⢀⠀⠐⡁⠨⠑⠌⢣⡔⢋⣡⠳⣬ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣛⣮⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡛⠉⠀⠀⠀⣀⣤⣷⣿⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⢻⠀⠈⠠⠐⡀⠱⡄⠱⣌⠳⣌⠞⡣⠶⣙ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣝⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⢿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣡⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠙⠀⠀⠀⣀⠀⢢⣴⣶⣿⣿⣿⣿⣿⣿⣿⠹⠄⢊⠡⢂⡀⡔⡋⡅⢳⣣⣔⢫⣦⠘ ⣿⣿⣿⣽⢀⠀⣀⣤⣦⣶⣿⣿⣿⣿⣿⣿⢿⡙⣼⣤⣁⢭⠛⠿⣿⣿⣿⣿⠿⠻⣙⡠⣦⣷⣿⣿⣿⣿⣾⣽⣷⣎⡼⢃⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠘⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿⣿⣿⣿⣿⡘⠔⢃⠠⡐⠌⠃⣱⡲⢌⡐⢅⣦⡜ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡀⣤⣷⣿⣿⣿⣾⠁⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⢧⡘⠢⣤⣄⣠⢆⣀⡰⢀⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠈⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⣷⣿⣿⢿⡀⠣⣀⠱⠀⢈⡱⢦⢎⡑⠸⣏⡌ ⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣻⢘⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣴⠁⢛⠛⠿⣿⣛⢏⠻⠘⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠉⠉⠛⠿⣿⣿⠿⠛⠙⠉⠈⣄⣦⣷⠸⢊⡩⠐⢨⠐⡂⢄⣊⢦⡜⠞⢀ ⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⡆⣮⣿⣿⣿⣿⣿⣿⣿⣿⣴⢉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣼⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⠘⠤⡐⠣⢄⡘⠁⢂⠁⢂⠌⠡⢈ ⣿⣿⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣤⣶⣤⣩⣛⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣬⣷⣿⣿⣿⣿⣴⡗⢯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠂⣁⠰⢞⡁⠰⠌⡀⠽⡝⠢⠙ ⣿⣾⣿⣿⣿⣿⠿⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣴⠈⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡙⣦⣥⢓⠁⡀⣃⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠐⡌⢱⢠⡜⠃⠄⡀⣿⣿⡟ ⣿⣾⣿⣿⣿⣿⣿⢿⢇⠶⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧⣻⣿⣿⣿⣿⣿⣿⣿⣿⠏⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⡗⡿⡄⠆⡈⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠐⣢⡄⠒⢅⡈⠘⠠⣁⣤⣤ ⣿⣻⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣾⣿⣿⣽⣷⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⣿⠀⡇⢼⠀⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠈⠈⠄⡀⠠⠀⠀⠄⠃⡁⠤ ⣽⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠇⡿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧⣦⣿⣿⡼⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣇⠁⣾⢁⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠒⢄⠀⠀⠈⠠⠐⣈⠓⡬⡞ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠖⣻⠉⡟⣿⣿⡜⠻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣶⣿⣎⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡴⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠐⠠⢀⠈⢂⡐⢌⡣⢎⡟ ⣻⣿⣿⣿⣿⣿⠀⠀⠀⠁⠀⠀⣀⢠⡏⣿⣿⡻⣦⢿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣇⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⢸⠂⠱⢎⡅⠂⢉⠢⡜⢳⣬⢓ ⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠈⡄⣠⣁⣖⡴⠀⠀⠀⣀⢆⠳⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⠃⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡿⢠⣡⠊⠏⡡⠖⢂⢆⡁⠢⣌⣋ ⣿⣿⣿⣿⢤⢡⠀⠀⠀⠀⠀⣤⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠶⠛⠉⠈⠀⠀⠀⠀⠀⠀⠀⡄⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣼⡭⡱⢦⢉⡡⠐⢨⡐⢉⠷⣎⣩ ⣿⣾⣴⣈⠇⡈⢠⠀⠀⠀⠀⠀⠀⠈⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢄⠦⠓⠛⠀⠀⡀⢀⡁⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢫⣼⠎⡎⡙⢤⡙⠆⠌⡐⠱⢂⠭⣻⣷ ⣠⠔⡓⠟⣿⣿⡘⠑⠀⠀⠀⠀⠀⠀⢀⠚⠔⢡⠎⠀⠀⠀⠀⠀⠀⠀⠉⠟⠵⠟⣿⣿⠿⠺⠐⠟⠿⠿⣿⣿⣻⡮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣣⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣟⣰⡝⣏⢯⡶⠎⣙⢫⡜⡝⡢⢞⣏⡟⣿ ⠀⠀⠀⡂⣄⣷⣿⠻⠙⠀⠀⠀⠀⠀⠐⠢⣶⣙⠑⠋⠙⠉⠐⠉⠘⠉⠛⠟⣿⣿⣿⣿⣴⠋⡿⣿⣿⣿⣿⣿⣿⣿⡻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⡴⢋⡿⡽⢿⣟⡿⢾⣽⠷⣎⡙⢷⢯⣿⣿⣿ ⠀⠀⠀⠀⠀⡀⣶⣿⣿⣿⠿⠛⠉⠉⠈⠀⠀⡀⠈⠐⣫⢟⡿⣿⣿⣿⣿⣿⣿⣿⣾⢡⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣝⣯⣾⣶⣶⣾⣶⣴⣩⣖⠿⡻⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢞⣵⢛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡐⠃⢀⠁⠀⠀⠀⡀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣡⢎⠓⡹⠿⠟⡿⢿⣿⣿⠻⣝⣬⣶⠶⡳⣟⣿⣿⣿⣿⣶⣶⣵⣫⢟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣉⠲⡌⠑⠢⢀⠀⠀⠀⠀⡀⣄⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⢋⠬⡝⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⢿⠟⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠉⠉⠻⣦⡀⠀⠀⠀⠀⠀⣴⠞⠛⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠈⣷⠀⠀⠀⢀⡾⠃⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡇⠀⠹⢦⡤⢤⣄⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⣾⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡴⠞⠋⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⢸⡇⠀⠀⠀⠀⠀⠀⠘⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢧⣄⡀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠇⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⢀⣀⣀⣀⣱⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣤⠶⠋⠀⠈⠉⠁⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠘⠳⠛⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠸⠃⠐⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠐⠀⠀⠂⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠂⠀⢀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⠊⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⠋⠙⣧⠀⠀⣰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠛⠻⡧⠀⠀⢻⣄⡀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠁⠀⠀⠘⠛⠳⢦⣀⠀⠀⠀⢀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⣤⣤⣤⡄⠀⢹⡆⠀⠀⠀⣽⡷⣿⡋⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡁⠸⣇⡀⣀⡤⠀⢸⡇⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢀⣠⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠈⠛⠉⠀⣠⠞⠛⢳⡶⢤⣤⣤⣴⡶⠶⠶⠚⠛⢩⡿⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⢻⡁⠀⠀⠀⠙⠳⠶⠖⠛⠀⠀⠀⠀⣴⣋⣠⡾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣰⣾⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣌⠙⠳⢶⡶⠶⠶⠞⣫⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡞⢻⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠛⠛⠶⠶⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠉⠉⠀⠈⠳⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠂⠀⠀⠀⣤⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠤⠶⢤⣀⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⣿⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣉⢈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣾⣤⢷⠻⠉⠀⠀⠀⠀⠀⠀⡟⣿⣟⣹⣿⣼⠳⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⠀⠀⠀⡀⣧⢿⠻⠉⠀⠀⠀⣧⣿⡉⣋⠒⠓⠉⣆⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣾⠀⠀⠀⠋⣿⣿⣿⣿⣿⠛⠉⠂⢠⠀⠋⠿⠿⡸⢱⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠛⠟⡿⣿⣿⣿⣿⣿⣾⢁⣄⣳⢙⡀⣶⣿⣾⢠⡿⣿⣿⣿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⣿⣿⣿⣿⣿⣿⣿⣼⢀⡄⠸⡄⣿⠻⠙⠈⠁⠟⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣠⣀⠀⠀⣄⣷⣿⣾⣴⢀⠀⠀⠋⢰⠉⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⡁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠚⠴⣀⣀⢤⠷⠙⠀⠀⠀⠀⠀⠄⠦⠶⠶⠶⣤⢋⡼⣀⠀⡀⣬⣶⣿⣿⣿⣶⣴⢀⠏⡼⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠞⣠⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠁⠛⠛⠉⠈⠀⠀⠏⣰⠀⠀⠀⠀⣄⠲⠉⠈⠀⠀⠀⠀⣀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡾⣠⠀⠋⣔⣠⣄⣯⣸⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⡼⢀⠋⠔⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⠁⠉⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣾⣷⣿⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⢰⠁⣿⢻⠔⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⣠⣄⣰⣄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠻⠀⠀⠀⠀⠀⠀⠀⠋⡴⠀⡞⣤⢀⠏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢦⠙⠀⠀⠀⠀⠏⢠⠀⠀⠀⠂⡰⢀⠋⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⢄⣥⣟⢸⠀⠀⠀⠀⠀⠃⣿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢳⠘⠀⠀⠀⠀⡿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠛⡿⣿⣿⠸⠀⠀⠀⠀⠀⡏⣿⠻⣍⠲⠑⠉⠀⠀⠀⠀⠀⠀⠀⠋⠖⣶⢲⠉⣿⢬⠳⠈⡇⣿⣿⣿⠀⠁⠋⠚⠒⠒⠒⠒⠙⠈⣇⣿⣿⠻⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⡿⣶⣷⣿⣶⢶⠻⠉⠉⠉⠟⣿⣿⣿⣿⢿⠻⡛⣍⢭⠭⠭⠭⣤⣠⠀⠀⠀⠀⠀⡀⣄⠲⣄⡿⣿⣿⣾⣤⣀⠆⠲⠘⠀⠀⠀⠀⠀⣄⣷⣿⣿⣿⠈⠀⠀⠀⠀ ⠀⠀⠃⣴⠀⠀⠞⣠⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⡀⣀⢋⠞⠤⢤⠢⠛⠉⠀⠀⠀⠀⠋⡿⣿⣿⢠⠀⠀⠀⠉⠀⠀⠀⠷⠿⠿⠸⠑⡇⣿⣿⣿⢿⠀⠀⠀⠀ ⠀⠀⡇⠛⠛⠟⢠⠀⠀⠀⠀⠀⠀⣀⣤⣦⣶⣶⣶⣶⣤⢖⠴⡠⣀⢀⠀⠀⠀⠀⠀⡀⣀⠦⠷⣿⣿⣿⣿⣸⠀⠋⣸⣀⣸⠀⠀⠀⡄⣷⣿⢸⠁⡾⣿⣿⣿⣿⠸⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣿⣿⣿⣿⢹⡿⣿⣿⠟⢠⠉⠛⠜⠉⠉⣏⣿⣿⠹⣟⣿⣿⣄⢸⠀⠀⠀ ⠀⠀⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣸⠀⠀⠀ ⠀⠀⡇⣾⣴⣦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⣿⣿⣿⣾⣷⢸⠀⠀⠀ ⠀⠀⠀⢧⠈⠀⣆⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⠀⣧⣯⣿⣿⣿⣿⢸⡇⢠⠀⠀⠀ ⠀⠀⠀⠀⢦⠙⠋⡿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢻⠉⠞⣷⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣦⣷⣿⣿⣿⢿⠴⡤⣀⣀⣀⣏⣿⣿⣿⢿⠿⠙⠈⠀⠀⠀⠀⠀⠀⡄⠹⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠏⠉⡟⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣲⠒⠒⠒⠒⠤⣤⣦⣶⣿⣾⣠⠀⣆⠙⠀⠀⠀⠀⠀⠀⡀⢳⡟⣿⣾⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⢀⣦⣿⠻⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⡀⣷⢨⠀⠀⡃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⠈⠀⡀⣦⣿⠻⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢫⠛⠛⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠋⣿⣿⣿⣿⣾⣤⣤⣀⣧⣿⣿⣾⣤⣠⣦⣷⢿⠻⠛⣟⣿⢻⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⣶⣿⣿⠻⠈⠀⠀⣆⣿⠹⠀⠀⠀⠀⡀⣄⣦⣷⣿⣿⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣷⢿⠛⠛⡏⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣤⣶⣶⣾⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⡀⢙⠉⣖⣷⣿⣿⣿⢐⣶⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢄⠤⠤⠳⠀⠀⠀⠀⢹⡀⠰⡆⠘⢸⠁⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣷⣿⣿⠿⠀⠀⠃⣘⣀⣄⣷⣿⣿⣿⣷⣿⣿⣿⣿⣿⢿⠈⠀⠀⢄⠻⠈⠀⡇⠻⠈⠀⢸⣇⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⡴⠀⠀⠁⠊⠀⠋⠒⡖⢶⠒⢲⡚⠑⠉⡈⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠘⠀⠀⡀⣦⠘⠀⣆⢻⠀⣇⡏⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠊⣠⠋⡴⢀⠀⡇⢛⠀⠀⢣⠀⠀⣀⣄⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠈⠀⠀⣄⠳⠈⣏⠸⡀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠃⡰⠁⡴⢀⠂⠀⠀⡏⠀⢦⠑⡈⠱⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠮⠒⠉⠀⢄⡄⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢠⠀⠀⠀⠁⡴⢀⠀⠀⠀⡀⡀⢦⠙⠀⠀⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⡀⢇⠘⠀⡀⠠⠀⠀⠀⠀ ⠀⠀⠀⠀⠂⠀⠀⠀⡟⢈⠀⠀⠀⠀⡙⠀⠀⠀⠀⠄⠙⠓⠈⡙⠸⠀⠀⠀⠀⠀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⡁⣿⠸⠀⠀⠀⠀⠀⠀ ⣀⠤⠤⠤⠤⠦⠲⡟⢀⠀⠀⠀⠀⠀⣷⠹⠃⠀⠀⠀⡄⡏⣟⣿⢠⠀⠀⠀⠀⠀⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣁⣿⠈⠀⠀⠀⠀⠀ ⢿⠙⠉⠉⠉⠉⠃⢰⠀⠀⠀⠀⠀⠀⡇⣿⠻⢿⠛⠙⠃⢻⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠘⠀⠀⠀⠀ ⣿⣿⠻⠈⠀⣀⣇⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⢿⠈⠀⠀⠀ ⣿⣿⣿⣿⠿⠙⡏⠀⠀⠀⠀⠀⠀⠀⠀⡄⣳⣈⣁⣊⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⠻⡿⣿⣿⣿⣿⢿⣉⠀⠀ ⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿ ⣿⣿⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠇⠿⣲⠛⠛⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢻⡟⣿⣿⢿⠀⠀⠀⡈⣀⣤⣶⠤⠦⠗⠸⠀⠀⠀⠀⠀⠀⠀⠀⠁⡋⣞⣶⣳⠙⠛⡿⣲⠀⡄⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢹⠋⠾⣤⢥⠿⠶⠿⠚⡝⣤⠀⠀⠀⠀⠀⠀⠙⠉⣟⢋⠛⠟⡿⣶⣪⢐⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⣧⢾⣿⢻⠛⠟⣿⣴⠃⠛⠙⠉⠍⠉⠉⡃⣴⣧⣾⣴⣤⣠⢀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⠃⠀⠀⠀⣀⣀⠀⠏⠀⡀⡁⣈⣀⣀⠀⠀⡄⠱⠈⠀⠀⠀⠀⠀⠀⠀⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⠀⠒⠑⠈⡀⣀⠀⠀⠀⡀⣢⠈⠀⠀⠀⠀⠀⡀⣀⣀⠁⠋⠔⠫⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡿⣿⣿⣿⣿⣿⣿⣾⢀⡇⠻⠉⠉⡀⢄⠶⠛⠈⠀⠀⠀⢆⠀⠁⠈⠉⠉⠋⠟⡿⣼⢉⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⣿⣿⣿⣿⣹⠀⠁⡏⣿⣿⣿⢿⠿⠻⡛⣝⢨⠀⠀⠀⠀⣤⣤⣀⣄⣀⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣧⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⠯⠙⠉⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠙⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⣤ ⣄⠳⠈⣄⣶⣿⣿⣿⣿⣿⣼⣶⣿⣿⣻⡁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠁⠚ ⠀⠀⣀⠢⠑⡉⣍⣶⣶⣷⣿⠻⡉⣷⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣾⣴⣤⣤⣤⣤⣀⠀⠀⠀⠀⠄⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢤⡲⠙⣈⣤⣤⣥⣾⣶⣶⣷⣿⣿⣿⣿⣿⣿⣾⣶⣴⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠃⣿⣟⣯⣶⣶⠰⠀⠁⠋⠚⡶⢀⠀⠀⣀⣥⡈⣄⣦⣛⣖⣮⠶⠿⠻⠛⠛⠛⠛⠛⠛⠛⠛⠛⠐⠄⠤⠤⠤⣨⣛⢉⠈⠀⠀⡀⣤⠦⠓⣛⣌⣦⣷⢴⢤⠤⠤ ⠀⠀⠀⠀⠀⠀⠁⡾⡀⣦⣶⣴⣤⣠⣧⣨⠀⠀⠀⠀⠉⠛⠿⣿⢿⠿⠿⠿⠙⠈⠀⡄⣿⣿⣿⣻⣛⣝⣩⣭⣿⣻⠉⠀⠀⠀⠀⢳⣆⣘⣀⣤⠷⠳⠙⠈⠀⠀⣀⣄⠠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⣿⣾⠮⠳⣌⠧⠙⠉⡟⠀⠀⠁⠏⡿⣿⣴⣀⣀⠀⠀⠀⠀⠀⡀⣄⠦⡓⣭⣿⢸⠀⡀⣀⣀⣄⣦⣿⣶⠳⠙⠈⡆⠘⢆⠙⠈⠀⢰⠀⣀⢦⠳⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⡞⣷⣿⢀⢳⠐⡀⢧⡙⣄⣷⠀⠏⡿⣝⣶⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⣵⠹⠀⡀⢹⠀⢧⠉⡄⣿⢿⠟⠻⠉⠀⠀⡀⢀⠀⠀⠂⠀⠀ ⠀⠋⡾⣤⠂⡟⣸⠀⡸⠀⠁⡽⣹⢤⠲⠗⣿⡿⣾⢢⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⡇⣌⠘⠀⡆⠸⠀⣧⣤⣦⣿⣿⣹⣷⢾⠻⠙⠀⠀⠀⠀⠀⠀ ⡀⡃⢿⠀⠆⢧⢠⠇⢀⠀⡻⡸⣿⠉⢸⡏⣿⣴⠀⠀⠀⠏⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣆⠸⠀⢧⠡⠀⢧⠈⠀⣄⣷⡜⣳⡝⣿⣿⠻⠙⠀⠀⠀ ⠐⡿⣸⠀⠃⣷⢿⣸⠀⡏⡼⠀⣧⣿⠠⣿⣰⠤⠲⠽⠤⣸⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⢦⠙⠀⠀⠀⠀⠀⠀⠀⡀⠸⡄⠘⡀⡽⠱⠀⢆⠙⠀⠀⢇⡘⣷⣠⣀⣄⣤⢶⠙⠀ ⡯⣿⢸⠀⠠⠀⣿⢀⠃⢹⢰⠀⡄⣿⠋⢰⠀⠀⠀⡀⢦⢧⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠉⠁⠟⣿⢳⠀⠀⠀⠀⠀⠀⠀⡆⠘⡄⠱⣇⡹⠀⠀⡄⠳⠀⠀⣆⡈⢳⠋⠜⣠⠀⠀⣀ ⣿⣿⢻⠠⠀⠀⣽⠀⡎⡇⠀⠘⠀⣿⣠⠀⠀⠀⠀⠀⠀⡏⣿⠘⠉⠀⠀⠀⠉⠉⠋⠘⣿⣿⣿⣿⡿⢿⠈⠀⠀⠀⠀⠀⠀⣆⠈⡁⣧⣿⠻⠀⠀⡀⣄⠙⠀⣧⠘⣧⢹⠀⠀⠀⡀ ⣿⣶⢠⠁⠀⠀⣾⠀⢸⠀⠀⢻⡏⣰⠀⠀⠀⠀⠀⠀⠀⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣻⣾⣣⢻⠀⠀⠀⠀⠀⠀⠀⢧⡘⠀⣄⣷⢳⠀⠀⠀⡀⢤⠙⢇⠈⣇⠀⠀⠀⠀ ⠀⠀⠀⣸⠇⠀⢠⠇⢀⢸⠁⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⢾⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠙⠄⡙⣦⢿⠙⠀⠀⠄⡑⣯⣿⡜⠀⠀⠀⠀ ⠀⠀⠀⢰⠀⠀⠀⡇⠁⢸⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⢀⣏⣷⣾⣿⣿⣿⣻⣶⣤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠹⡀⢦⣐⡄⢱⠀⠀⡀⣄⣦⢸⠀⠀⠀⠐ ⠀⠀⠀⠀⢀⠁⠀⡇⡀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢴⠶⠴⡤⣠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢿⠈⡄⠑⡄⠳⠈⠀⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⡀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣵⠳⠈⠀⠀⣄⠙⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⡀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⣼⠳⠉⠉⡉⢿⠙⠀⠀⠀⠀⠀ ⠀⠘⠀⠀⠀⠀⠘⠀⠀⢠⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠔⠤⣤⠻⣏⣿⣿⣴⣀⠳⠀⠀⠀⠀ ⠀⣇⠙⠉⠀⠀⢸⠀⠀⠀⡆⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠚⠐⠋⠚⠽⠋⠟⡿⢶⣿⣿⢞⠐⠀⠀⢀⠀⠀⠀ ⠈⡄⣼⡶⠛⠉⢹⠀⠀⠀⠀⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡿⣤⣫⣿⣿⣾⣿⣯⣶⣤⣁⠋⡿⣴⣠⠀⠀⠁⠋⠒⠀⠀⠀ ⢳⠸⣇⠈⠀⣄⣧⠈⠀⠀⠀⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠛⣿⣿⣻⣟⣶⣿⣉⠛⠾⣶⣤⣋⠔⠤⠤⡥⣭⣋⠒⠓⠘⠀⠀ ⡇⢯⠈⣷⠻⠙⡄⢸⠘⠀⡇⣇⣿⢻⠀⠀⠀⠁⠉⠈⠀⠀⠀⠀⠄⠷⠸⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠶⣶⣤⣤⣭⣤⣠⣀⠀⠀⠀⠀⢲⠛⠖⠤⣗⣘⣆⠘⠎⢀⠀⠀ ⠉⣹⢳⡀⣾⣿⢿⣟⢸⠀⡇⡀⣿⣿⠉⡿⠀⠀⣷⠛⠟⠿⠿⠻⠗⠿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠳⠈⠀⠀⠀⠀⠀⡀⣀⣀⠀⠀⠀⠀⠀⠀⡄⢷⠈⡀⠹⠀⡈⢷⠈⣞⢀⠀⠉⠈ ⡀⣧⡜⠙⡆⢿⣷⣿⣏⠘⡇⢸⣆⣿⣿⣶⢿⠿⡿⣿⣾⣤⡤⣩⣏⣶⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⠹⡄⠸⠀⡄⣿⢠⠁⡼⢀⠀ ⠀⠀⢧⣆⠘⣆⡘⢻⣸⢳⡇⢸⠀⣧⣿⣦⣽⣤⣤⣤⣤⣤⣤⣀⡄⠻⠀⠀⠢⠙⠀⠀⠀⠀⠀⠀⠀⡄⢷⠙⠀⠀⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⢻⣏⠀⠃⣰⠁⡼⡀⠐⠀ ⠘⠀⡀⢳⢧⠀⢃⡄⢻⡄⡜⣿⠀⠀⣧⠸⣄⠓⠀⠀⠀⠀⠀⠀⢱⡀⢳⠈⠈⡀⣄⠳⠛⠈⠀⠀⠀⠀⡀⣷⠫⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣯⢿⣠⠀⡟⠀⠀⠀⠈ ⣿⠘⠀⡀⣳⢷⡄⠘⣇⠸⢆⣟⢹⠀⠀⣧⠘⡀⢦⠙⠀⠀⠁⠉⡏⠘⡀⣧⠈⠀⠀⠀⣄⣧⠾⠙⠀⠀⠀⠀⢧⢮⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣠⠀⠀⠏⢠⠀⠀⠀⢁ ⣧⣿⠹⠀⡀⡹⢳⠁⠀⢧⠀⣆⡞⠘⣀⢤⢷⠙⠈⡀⣦⣙⢀⠀⠀⣦⠈⠀⢆⠘⠀⠀⠀⠀⣀⡳⢮⠙⠀⠀⠀⣦⡌⠳⠀⠀⠀⠀⠀⠀⠀⠁⠋⠖⣤⢾⢠⠃⡸⠀⠀⠀⠀⠀⡀ ⡄⣶⣿⢿⠙⡀⣱⣧⠘⡀⢸⠀⣆⢯⠀⠀⠀⢱⣄⡶⠽⡚⢯⠈⠀⠀⢧⠈⠀⡄⠳⠀⠀⠀⠀⠀⡀⡣⢮⠙⠀⠀⢇⡈⢳⠈⠖⠶⠴⡤⣠⣀⠀⠁⡼⠀⠏⣠⢇⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⣤⣷⢿⡙⢣⢯⠈⡆⠘⠀⢦⢿⠀⠀⡀⢱⠀⠀⣄⢦⣕⠺⠙⠈⢣⠀⠀⡀⢦⠙⠁⠀⠀⠀⠀⣄⡳⢮⠙⠀⢧⠈⢧⠈⠀⠀⠀⠀⠀⠋⣰⠀⠞⢀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣤⢷⣿⢫⠀⢆⠈⠀⣆⢻⠀⠀⡀⠱⠀⠀⠀⠀⣄⡳⣌⣦⠻⠀⠁⠋⡀⠳⣌⠓⠈⠀⠀⠀⢄⡙⠢⠈⢳⠀⢧⠈⠀⠀⠁⡴⢀⠀⡏⢀⠀⠀⡄⢸⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⡀⣄⠹⠀⣦⠈⠀⣄⢿⠈⠀⡄⠳⠀⠀⠒⠓⠛⡚⠲⡽⣷⣃⠈⠀⡀⣦⠻⢌⠑⠀⠀⠂⡈⠣⡌⣷⢹⠀⢧⠁⠞⣠⠀⠀⡎⢠⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠑⠀⠀⠀⠐⠈⠀⠀⡄⢱⠀⢇⠘⠀⡀⢷⠘⠀⡀⢣⠈⠀⠀⠀⠀⠀⡀⢤⢷⢎⠙⠀⠀⡄⣷⠻⢌⠐⠀⣄⠰⢦⡈⣧⠘⠋⣰⠀⠀⠁⠞⢀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢄⠑⠈⠀⡀⢦⠑⠈⡄⠻⠀⣄⠘⠀⠀⣆⠘⠀⠀⢆⠙⠀⠀⠀⠀⠀⠀⠀⣆⡝⠳⠀⠀⠀⣆⣿⠓⠈⠀⠀⠀⡆⠙⣼⢀⠀⠀⠋⡰⠀⠀⠀⠀⠋⠟⡿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣄⠲⠉⠀⠀⣀⢤⡖⠻⠈⡄⠱⠀⠀⡀⠢⠈⠀⡀⠰⠀⠀⠀⠀⠀⠀⠀⡄⠱⢆⠙⠀⠀⡀⣶⣭⠷⠛⠞⡴⣠⠀⠁⠛⡼⢛⠛⠻⠾⠿⣷⣵⢸⣏⣿⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⠀⣆⠘⠀⠀⠁⠛⠰⠀⠀⠀⠀⠋⠚⡶⣷⣿⣿⣿⣿⣿⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⠀⢧⠈⠀⠀⠀⠀⠀⠁⠞⣴⢀⠀⠀⡀⣷⣿⣿⣿⣼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⡛⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⠀⡀⢷⠈⠀⠀⠀⠁⡼⢀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⠤ ⠀⠃⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠋⠟⡴⣠⢀⠀⡆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀⡄⢻⠈⠀⠁⣼⠀⠀⠀⠀⠀⠀⠉⠟⡶⣤⣀⠀⠀ ⠀⡆⠈⣄⠦⠙⡄⣷⣿⣬⣤⣀⣀⣀⢁⠋⠚⠄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠀⠀⣆⣼⢧⡿⠛⠸⠁⠋⠛⠴⣤⣉⠚⠴⣤⢀⠀⠀ ⠀⠀⢷⠙⠀⡀⢤⡶⣘⢦⠓⠉⠈⠀⡠⢀⠁⠉⠛⠛⠞⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠠⣇⠉⣾⣠⢀⠉⠖⡤⢀⠀⠀⠀⠀⠀⠀ ⠉⠋⡚⣶⠶⠒⠒⠀⠁⠉⠛⡴⣥⣯⣴⣤⣀⣀⣀⠀⠀⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⡏⣰⠉⠚⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣗⠛⠉⠀⠀⠀⠉⠛⡴⣀⠁⠟⣴⠀⠀⡄⢤⠶⠙⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⣸⡄⣀⠀⠀⠀⠀⠀⠀⠉⠚⡴⣻⢀⠀ ⠀⠀⣋⣙⣈⣀⢀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠹⠀⠋⠐⢧⠊⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡇⢸⠀⠀⠂⠴⢡⠋⠞⡤⣀⠀⠀⡇⠀⠀ ⠀⠇⢀⠀⣆⠾⠒⡛⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠞⢠⠀⠀⢦⡜⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠰⠀⠀⠇⢠⡀⢲⠋⠛⠿⡽⣪⢖⠤⠤⠤⠶⠙⡇⠀⠀ ⠀⡼⠀⠀⠀⠀⠀⡟⣤⠱⠈⠀⠀⠀⠀⠀⠀⠀⠏⣰⠀⠀⠀⠀⠀⣄⡳⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣸⠀⠀⠃⣸⠁⠋⠛⡿⣶⣠⢀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀ ⡆⣿⠿⠸⠀⠀⠀⣧⠈⠀⣄⠦⠓⠉⠀⠀⠉⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣠⠀⠁⠟⣶⣤⣋⡾⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀ ⠀⣇⣿⢠⠀⢦⠙⡇⢠⠀⠀⠀⠀⡀⣀⢤⡶⠙⠀⠀⠀⠀⠀⠀⠀⠁⠛⠞⣶⣶⠶⠙⠈⠀⠀⠀⠀⠀⠀⠖⣠⢁⠋⠞⣠⢀⠃⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡾⢀⠀⠀ ⠇⡀⢀⠄⠀⠃⣄⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⡤⣤⣳⠙⠀⠾⠶⡤⣀⠀⠀⠀⠁⠞⣤⣳⣦⣤⢶⡽⣭⣭⣬⣤⣦⣳⠈⠀⠇⣠⠀⠀⠀⠀⠀⠀⠁⠞⣤⣁⠐⠀⠃⣾⢀⠀⠀⠀ ⡀⢿⠘⠀⠀⡀⢣⠉⢿⠉⠉⠀⠀⠀⠂⠙⠀⠀⠀⠀⣤⢻⠀⠀⠀⠀⠀⠁⠟⣼⢀⠀⡀⣦⠷⠻⡈⣀⠀⣀⢦⠙⠀⡀⢦⡘⠀⠀⠀⠀⠀⠀⠀⣠⠁⠞⣠⠁⠎⣷⠀⠀⠀⠀⠀ ⠀⣇⢹⠀⠀⠀⠀⣀⠀⠀⣇⢿⠈⠀⠀⣇⠻⠉⠉⠋⡼⢀⠀⠁⠉⠛⡿⣿⣰⠀⠀⠀⠀⠀⠀⣄⢹⠀⠀⠀⠀⡀⢦⠙⠀⣄⢦⠳⠉⠀⠀⠀⠀⠁⣋⠛⠿⣠⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⣾⠳⠈⠃⠉⠉⠚⠲⡗⣼⣀⢤⠶⣠⠀⠀⡞⣀⣀⣀⣆⣘⣀⣆⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⣷⠈⠀⠀⠀⠀⠀⡀⣄⠲⠒⠛⡉⣉⣉⣋⣒⣖⡤⣀⠀⠀⠀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⣶⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⠀⠀⠈⠀⠀⣆⢸⠀⠀⠀⠀⠀⠀⠀⠀⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢠⠀⠀⠀⠀⠀

⠃⠛⠛⠛⠿⠿⠻⠀⠀⠀⠀⠀⠇⠿⠿⠿⠟⠿⠿⠿⠿⠿⠻⠙ ⠀⣀⣀⣀⣇⣿⣽⠛⠉⠀⠀⠀⡇⣿⣿⣠⣿⣿⣿⣿⣿⣿⣿⣴ ⠀⠀⠀⠀⡇⣿⣿⣿⣿⠻⠛⠙⡟⣿⣿⢸⣇⣿⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⢻⡇⣿⣿⢿⠀⠀⠀⠀ ⠀⠋⡿⣿⣿⣿⣿⢀⠀⢀⣷⢿⣝⣷⣿⣴⡏⣿⣿⣿⠘⠀⠀⠀ ⠀⣷⣿⣿⣿⣿⣸⠀⠀⠀⠀⣦⣿⢻⠈⠃⣿⣿⣿⣿⢰⠀⠀⠀ ⠀⡀⣤⣶⣴⣠⠀⠀⠀⠀⠀⠀⣆⣿⣿⡿⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀noos laer⠀⠀⠀⡄⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀siht od⠀⠀⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀ stel⠀⠀⡀⣦⣶⣶⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⡧⠈⠀⠀⠀⠁⡼⡁⣸⠀⠀⠀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⠁⠋⠞⣶⠶⡶⢶⠲⠓⠉⠈⡀⠣⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠚⠀⠀⠀⣿⣦⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠳⣌⠳⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠴⣩⠋⠖⠴⠤⢤⣤⠤⡶⢷⠙⠀⠃⠀⠀⠀ ⠀⠀⠏⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡷⠙⠀⠀⠀⠀⠀⠀⠟⣡⠞⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⡷⠀⠀⠀ ⠀⡞⢀⠀⠁⠚⡤⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠀⠁⡟⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⠀ ⠃⢸⠀⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⡿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀ ⡇⢈⠀⡇⢠⠀⡀⢡⠤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⡏⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸ ⠀⢸⠀⡄⢹⠀⠀⡀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠘⠀⠀⠀⠀⠛⠀⠀⢸ ⠀⢧⠈⠀⡀⢤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠃⠷⠀⡿⠀⠀⢸ ⠀⠀⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⢠⠀⡟⢀ ⠀⠀⠀⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠚⠶⣠⠀⠀⠞⢀⠀ ⠀⠀⠀⠀⣼⠲⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡼⠀⠀⠀ ⠀⠀⠀⡇⢸⠀⣀⠢⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡴⢀⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⠀⠀⠀⡀⣇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠔⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⠀⠀⠀⠀⡟⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢰⠀⠀⠀ ⠀⠀⠀⠀⡄⠱⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⡴⣤⢤⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⣻⠳⠈⠈⠀⠀⠀⠀⠀⠂⠖⠴⡤⣏⢠⠀⠀⠀⡄⡐⣀⣀⠀⠀⠀⠁⠉⠉⠁⠉⠉⠃⠜⡤⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣼⠀⠃⣿⣿⣯⣿⣦⠷⠛⠈⠀⡴⢀⠛⠒⠒⠒⠙⠀⠀⠋⠿⡿⣿⣿⣿⣿⣼⣿⣿⠸⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⢰⠀⡏⣿⢹⣿⣿⠀⠘⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣿⣹⠀⣿⣿⢸⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⣸⣿⡏⣿⢸⠀⣿⣿⣣⣿⠰⠉⠞⠉⠞⡤⣤⠲⣿⣿⣿⣿⣿⣾⣿⣿⠿⣿⣷⢻⡇⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⡇⢸⣹⣿⣿⢰⠃⣿⣿⡿⣿⡟⣿⡴⢀⠀⠀⠀⠀⠀⣄⣦⣷⣿⣿⣥⣿⣿⣿⡌⣿⡇⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⡇⢰⣷⢸⣿⠀⡟⣿⣿⣿⣿⣾⢁⠘⠀⠀⠀⠀⠀⠀⠀⠃⠉⢮⣦⠿⣶⢿⣧⢸⡇⡇⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠈⡿⠸⡟⢠⣿⠁⣿⣧⣿⣾⣇⢿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣲⠻⣎⠹⣇⡘⢻⡇⡇⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣷⢸⣧⢸⣿⡇⣸⡿⢀⡏⣼⠀⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠑⡄⡹⡄⠹⢻⣷⡜⡇⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢿⡿⢸⣾⡇⢸⣿⠙⣿⢀⠇⢱⣼⢀⠀⠀⠀⠀⠀⠁⢻⠀⡯⠿⣿⢾⡟⠹⡆⡜⡏⠸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⣿⣿⢸⢸⡇⢻⣿⣇⣸⠀⣾⡅⠚⠟⠿⠿⠠⠄⠳⡏⣰⠈⣯⣿⣿⢿⣼⣧⠸⣧⣆⣹⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣷⢸⢸⡇⡇⣼⡟⢀⡇⢻⣯⣿⣿⣿⣿⠋⠐⠉⣇⠳⢿⡏⢸⠛⡌⣷⢯⢿⡆⠘⣿⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⡎⢸⢷⡇⣿⢸⣼⠀⠀⡁⣺⣀⣀⣀⣀⢀⠋⣇⣿⢊⣯⣿⢹⡧⢸⡇⣿⡇⠘⢫⣿⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⢹⣧⡇⡿⣿⢸⢰⠀⠀⡇⣾⠙⠀⠀⠀⠀⣸⡇⢿⠀⣦⣿⣷⡇⢿⡴⣿⡄⢸⡇⣿⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡆⡜⣿⣿⣿⢸⠀⠀⠀⡇⢻⡝⢻⠉⠈⢿⢩⡍⣿⠸⠀⣧⡇⡇⢿⠀⣼⠀⢸⡇⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣆⣿⣿⢸⠀⠀⠀⡇⢹⠀⡀⣧⣈⣿⣅⣉⣾⢠⠀⡇⡷⡟⡿⠀⢸⠇⢸⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀

.noitazilivic namuh eht dliuber annog si htob uoy ,delims tsuj ,ti rewsna t'ndid uoy ,"?dessap sraey ynam woh dna i dna erehW" uoy deksa ylsuoiruc eH .erutuf fo enecs eht htiw ,pu ekow dnabsuh ruoy ,yllautneve dnA .efil yllanrete snaem hcihw ,sraey etinifni rof evil yllaciteroeht nac owt uoy snaem ti os ,sega fo niahc a deyortsed tsuj emit taht ni naom ruoy dezilaer tsuj uoy ,yawa ssap t'ndid llits htob uoy ,dessap sraey 001 ,ylkciuq dnA nosaer wonknu a rof ,sraey eseht redlo gnitteg t'ndid uoy dezilaer uoy dna ,dlo sraey 001 eht ot hguorht ti ekam eh ,dessap sraey 03 .pu ekat ot ecnahc yna sah t'nseod llits ekil skool dnabsuh ruoy ,dessap sraey 01 dnA .efil ruoy fo tser ni mih fo erac ekat annog er'uoy ,eciohc a ekam uoY .naom ruoy fo esuaceb dezylarap ylereves si dnabsuh ruoy dezilaer tsuj dna ,ylkciuq 119 dellac uoY .naom yldaed ruoy esuaceb tuo dessap tsuj dnabsuh ruoy dna ,deb eht no evol gnikam era dnabsuh ruoy dna uoy ,enigami tsuJ naom yldaed a ot refsnart dluoc naom ruoy ,bd021 naht rehgih era snaom fo bd ruoy fI

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣾⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠈ ⡀⣀⣀⣀⣄⣤⣤⣿⣿⣿⢀⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⣿⣼⢠⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰ ⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀⠀⠀⣿⣿⣿⣿⢹⠀⡇⣿⣿⣿⣿⣼⣤⣤⣤⣤⣤⢀⠀ ⠀⠀⠀⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣿⢿⠿⠻⠛⠛⣿⣿⣿⣿⣿⠀⡇⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⡇⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣦⣿⣿⣿⣿⣿⣾⣶⣶⣡⣛⣝⣧⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠋⠛⠛⡙⣈⣀⢀⠀⠀⠀⠀⣦⣿⣿⢿⣜⣷⣿⣿⣾⢠⡏⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠟⣿⣿⣿⣿⣿⣿⠹⠁⡿⣿⣿⣿⣿⣿⣷⣿⣿⠻⣈⣀⠀⠁⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀ ⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⡀⣷⣿⣿⣿⣶⢀⠀⣦⣿⣿⣿⠹⠀⡟⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⣧⣿⣿⣿⣿⣿⣿⣼⠀⠀⡀⣀⠀⠀⠀⠀⠀⣄⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⣶⣶⣶⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⣍⣤⣤⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣶⣿⣿⣿⣾⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

.deid dna eloh kcalb otni dekcus teg uoy ,moob ?tahw sseug dna metsys ralos ediseb eloh kcalb a etaerc lliw dna ,thgil fo deeps eht ta si deeps gnibbur ruoy tub ,drah yrev muc uoy dna ,muc ot tuoba er'uoy revocsid t'nac ehs neht ,nrob t'nseod retsis ruoy fi dna ,nrob eb t'now retsis elttil ruoy dna ,tnangerp teg t'now namow modnar a ,deb ruoy htaenrednu seog elcnu ruoy ekam uoy fi dna ,deb ruoy rednu edih dna ,efiw s'eh s'taht hguoht lliw elcnu ruoy ,edistuo dnuos emos etaerc uoy fi dna ,uoy dnoces eht ees ll'uoy ,yssup ruoy gnibbur era uoy nehw thgir kcab tnew uoy fi dna ,xodarap emit emos etaerc ylbaborp ,levart emit a otni teg ll'uoy neht ,thgil fo deeps a ni gnibbur er'uoy fi dna ,thgil fo deeps eht ta si gnibbur fo deeps ruoy teg nac ew os .eulb si yks ,neerg si ssarg eht dna ,uoy ylno eb tsum esuoh ruoy neht ,won thgir yssup ruoy gnibbur er'uoy fi

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people, please don't post weird/innapropiote stuff, some people are just trying to find some cute/aesthetic symbols/combos here, and there are CHILDREN as well! spread this message to help! ♡

⢹⠄⡀⢀⠀⠀⡿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⢀⠰⢉⡧⣿⢺⢌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⡑⢂⡱⡜⢿⡀⠀⠀⠀⠐⠀ ⣿⠘⠤⣲⣰⣇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠠⡘⠆⠃⣇⣿⢺⢌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡑⡌⠡⡼⣏⠸⣠⣄⢈⠀⠀ ⣿⢿⠀⢀⠁⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠄⠃⢀⢩⡧⣿⢻⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⡈⢱⡖⡍⢻⢀⠀⠀⠀⠀ ⣽⣿⠸⠐⡏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠁⠤⢋⡧⣿⢹⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠤⡃⠤⢚⣯⠘⠀⠀⠀⠀ ⣾⣟⢻⠁⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⡰⠜⡯⣟⣼⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡄⠘⣩⠖⣍⢻⠀⠀⠀⠀ ⣽⢾⣿⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠄⡨⠖⣏⡃⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠔⡃⠤⢚⣯⠈⠀⠀⠀ ⣻⣽⣿⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⡒⢎⣏⡇⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡄⠒⣎⠇⣎⢹⠀⠀⠀ ⢾⣳⣿⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡁⠴⢛⣯⡁⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡁⠰⢍⢢⡜⣿⠀⠀⠀ ⣟⣯⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠠⡱⢎⣿⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡨⠕⣊⠭⣗⠸⠀⠀ ⢻⣷⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⣁⡓⢧⢸⠔⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠣⢆⡙⡧⢸⠀⠀ ⡽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠈⠥⡂⡱⣾⠀⠀⡦⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠑⢢⡜⡎⢽⠀⠀ ⡽⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠜⠃⣡⡿⢻⠟⠹⠋⡟⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡉⠦⢃⢰⣾⠀⠀ ⡷⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢂⡁⠆⠡⣿⣤⣀⣀⣯⣹⣄⣷⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⡱⢆⡡⢽⠀⠀ ⣷⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢡⠠⡘⠣⣾⢀⠀⠀⠀⠀⢀⠀⠀⡀⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢁⡰⢓⢡⡷⠀⠀ ⣿⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠂⡁⠟⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠡⡱⠢⣑⡷⠈⠀ ⡿⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠏⡴⢆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠘⡡⠒⣡⡜⡯⠀⠀ ⡷⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢀⡾⣀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠉⣦⠙⠀⠀⠀⠀⠀⠀⠀⠈⠂⡀⠒⠌⣃⠠⢳⡌⣟⠀⠀ ⣻⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢈⢠⠐⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠂⣄⠹⠀⠀⠀⠀⠀⡘⠁⠄⡃⠄⡑⠢⣌⠚⢡⣾⠀⠀ ⡵⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢹⠂⡀⢶⠈⠀⠀⠠⠄⠂⡐⠎⡁⠰⢎⡃⡔⢏⢸⠀⠀ ⣳⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⢂⠁⣆⠑⠀⡐⠎⢁⡰⠎⢃⡄⠘⢱⡬⡟⢀⠀⠀ ⡾⣟⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠌⠂⠁⠠⡐⡌⠆⡈⠱⢌⠡⠴⡈⠴⡓⣸⠀⠀⠀ ⣟⢧⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠆⠀⡐⠂⢁⢢⡐⠱⡌⠆⡈⠖⣈⡿⢀⠀⠀⠀ ⡼⢿⣯⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⢀⡐⠌⠁⠤⡈⠢⡐⢌⡑⠦⢏⣰⠀⠀⠀⠀ ⣽⡞⣿⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠠⠌⠂⠄⠈⢂⠔⢂⡡⠟⣼⠀⠀⠀⠀⠀ ⡳⣽⣸⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠁⢂⠄⢈⡐⢋⡷⣼⠀⠀⠀⠀⠀⠀ ⣼⡟⢰⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠂⢡⡀⠞⣫⣼⠀⠀⠀⠀⠀⠀⠀ ⣜⡿⢀⠀⠀⠀⣄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠐⠁⡼⢏⣰⠀⠀⠀⠀⠀⠀⠀⠀ ⣞⢰⠀⠀⠀⠀⠀⡄⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡌⠃⢥⡞⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⢠⠀⠀⠀⠀⠀⠀⡀⠱⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡱⡿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠁⢻⠈⠀⠀⠀⠀⠀⠋⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⢱⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠀⠀⠀⠀⠀⠀⠋⡷⣎⡞⢿⠈⠀⠀⠀⠞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣾⢑⡦⡟⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠟⣾⣡⣸⢍⠂⣄⢻⠀⠁⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢨⠱⢂⣧⢸⠀⠀

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⣇⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠤⠲⠓⠉⠀⠀⠈⠀⠀⡀⣀⠁⠉⠚⠴⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣰ ⠀⣄⠳⠉⠉⠉⠉⠉⠚⠒⠒⠛⠴⠦⠼⣤⣀⢤⢸⠀⠀⡆⣸⣤⢤⠧⠴⠦⠺⠒⠒⠒⠒⠓⠉⠉⠋⠴⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⢸⠀⠀⠇⢰⠀⠀⠀⢸⠀⠀⡇⠈⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠊⠀⠀⠀⠀⡄⠳⠉⠁⠞⣠⠀⠀⠀⢀⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢈⠀⠀⠀⠀⠀⠀⡀⣹⠀⠀⠀⠀⠀⠀⡇⡿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣄⠸⠀⠀⡀⢠⠀⠀⡇⠀⡄⣤⠀⠀⠇⢠⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠉⠟⣿⠈⠀⣿⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⡟⠀⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠋⠟⠿⡿⣙⡋⣶⣠⢦⠺⡖⠹⠈⠀⠉⠛⡴⢦⠙⠉⠀⠉⠋⢶⠧⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⣤⣠⣀⠀⠀⠀⠀⠀⢧⠛⠙⣞⣤⣧⢻⠛⠛⡿⣼⣤⣳⠉⠋⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠿⡿⣿⣿⣤⣠⣀⣀⠄⠶⠶⡀⣀⣀⣄⡤⣿⣿⠿⠻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⣰⢀⠁⣿⢹⠉⠋⠛⠙⠉⠀⠀⠛⠛⠓⠙⠉⡏⣿⠀⡀⣄⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠉⡿⣼⢀⠟⣿⣿⡛⢸⠀⠀⡇⢛⣿⣿⠻⣀⣧⢻⠉⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣷⢽⡤⣤⣀⣋⣼⠀⠁⠈⠀⣧⣉⣀⣤⢤⡿⣾⣶⣿⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⢀⠉⡏⣿⢿⠿⡧⣿⠿⠿⣸⣆⠿⠿⣿⢼⠿⡿⣿⢹⠉⡀⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⡟⣿⣻⣟⠀⠀⣻⣟⣿⢻⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣻⣏⠈⠀⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢻⠀⣀⣿⣼⣤⣤⣧⣿⢀⠀⡟⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢿⠈⡇⢸⠀⠀⡇⢸⠀⡟⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢿⡏⢸⠀⠀⡇⢹⡟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⣀⣄⠤⠒⠑⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠟⣾⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣄⠤⠤⠢⠒⠒⠒⠒⠛⠛⠒⠖⠥⡭⣶⣴⣯⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⠛⠴⣀⠀⠁⡜⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠗⣾⢠⠀⠀⠃⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⠀⠀⡆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢠⡞⠀⠀⠀⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣿⠾⠒⠗⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⠈⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⡇⢀⠀⠀⠁⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣿⣿⢸⠁⡿⣻⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢧⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⡇⠀⡿⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢠⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿⣿⣿⢿⡿⣿⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⢳⠀⠀⢧⠈⠀⠀⠀⠀⠀⠀⡇⠀⣶⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢀⠀⠀⠀⠀⠀⠀⠁⠟⣿⣿⣿⣿⣿⣿⣿⣿⣼⠃⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢳⠀⠀⢧⠈⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡴⢀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣶⣶⣿⣿⣿⣿⣿⣿⢠⣁⣋⣀⣀⣀⣀⣀⢀⠀⠀⠀⢀ ⠀⠀⠀⡀⢧⠈⠀⣄⠱⠀⠀⠀⠀⡋⢰⠃⠈⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣠⠀⠀⠀⠀⠀⠀⠁⡿⣴⢀⢀⠀⠀⡀⣄⣷⣿⣿⢿⡾⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣄⠻⠈⠀⣄⠦⠓⡜⢀⠀⡶⢀⠀⠀⢆⠙⠀⠀⠀⠀⠀⠀⠀⠉⠞⣠⠀⠀⠀⠀⠀⠀⠉⠟⣰⢀⠀⠀⠀⠀⠀⠀⠋⡟⣿⣾⣠⠀⠀⠀⠀⠀⠀⠉⠉⠉⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣄⠲⠙⠉⡴⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⠈⠁⠉⠋⠖⡤⢀⠀⠀⠀⠀⠀⠁⠛⡾⣠⠀⠀⠀⠉⠀⠈⠀⠀⠀⡏⣿⣻⠚⠒⠖⠿⠿⡾⣧⣽⣬⢦⠶⠒⠐⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⣦⠓⠉⠈⠀⠀⠁⠉⠛⠗⡿⣤⣀⢠⠉⠉⠀⠀⠀⠀⠀⠀⠀⡷⣿⣿⣾⠻⠖⡠⢀⡞⣤⣀⣀⣉⢦⠹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠋⡴⣀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣃⣸⣀⣀⠀⣆⡘⣷⠹⡇⣽⣿⠐⠀⠀⠀⠀⠀⠀⠁⡿⣷⣿⣠⠀⠀⠀⡍⢉⠋⠀⢉⠛⠞⣤⢀⠀⠀⠀ ⠀⠀⠀⠀⠋⡴⢀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⠀⡞⠀⠀⠀⠀⠀⣧⠉⣏⣿⣿⣾⢐⠀⠀⠀⠀⠀⠇⡿⣼⠀⣿⢹⠁⠛⡽⣏⣿⣿⣿⣿⣿⣿⠻⠘⠀⠀⠀ ⠀⠀⠀⠏⣠⠀⠀⠃⢰⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⠏⣼⠀⠀⠀⠃⢰⠀⠀⠀⠀⠀⡄⣸⣀⣄⣦⣿⠻⠈⠀⠀⠀⠀⡉⣿⢻⠀⡆⣿⣿⣿⣿⣖⣶⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠇⢨⠀⠁⠋⡸⠀⠀⠀⠀⠀⠃⢰⠀⠀⠀⠋⡴⣏⢠⠀⠀⠁⣸⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⡀⣦⣿⠻⠀⠀⠀⢀⣧⣿⠘⠏⣿⣿⣿⣿⠻⠟⣿⣠⣧⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⡀⣀⣀⣁⣼⠀⠀⠀⠀⠀⠀⡇⠛⠚⠴⣠⢀⠞⢠⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⡀⣦⢿⠙⠀⠀⡀⣿⢿⣿⣿⣿⣿⣤⣷⣿⢿⠀⡋⣿⣿⣿⣰⠀⠀⠀ ⠀⠀⠀⠀⠁⣼⠀⠀⠀⠀⠀⠀⠀⡇⣸⠀⠀⠋⡴⢀⠀⠀⠋⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⡀⣦⣶⠛⠛⣿⣀⣦⣿⢸⠀⠀⡀⣯⣿⢿⡿⣿⣴⢠⠀⠀⠀⠀ ⠀⠀⠀⠃⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠞⣠⠀⠀⠀⠁⠟⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠦⣶⣶⣷⣸⠋⠟⣿⣿⣿⣿⣶⣿⣴⣤⣷⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⡤⢀⠀⠀⠀⠉⠞⣠⠀⡀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢟⣴⢀⠀⠀⠀⡇⠿⢰⠀⠁⡿⣾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠴⣠⠀⠀⠀⠁⠛⡴⣀⠀⠀⠀⠀⠀⠀⢄⠑⠀⠀⠀⠀⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣴⢀⠀⠀⠀⠀⠀⡄⣴⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⣀⠀⠁⠉⠚⠴⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⡀⣄⢦⠛⢈⣏⠻⡟⠭⢻⠉⠙⣉⠤⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⡀⠁⠋⠖⣩⢛⠟⠴⣤⣀⣅⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀ ⠠⠀⠀⠀⠀⠀⠃⠛⠙⡏⣶⣶⠙⡝⢤⣤⣤⠤⡦⣶⣶⠶⠶⡶⣿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠾⠴⠤⢧⣿⣾⣶⣴⣤⣠⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⠀ ⣄⢿⠿⡿⣿⣽⢀⣧⣿⣽⠮⠛⣿⣼⠲⠙⠈⠀⠀⠀⠀⠀⠀⠁⠚⡀⣄⢦⡛⣉⣤⣦⣶⣿⣭⢉⠟⡽⣩⣈⢁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀ ⡄⢀⣀⣤⣼⢆⣻⣿⣿⣿⣸⣤⣦⣷⣾⡶⣿⠿⠙⠀⠀⠀⠁⡼⠀⠀⠀⠀⠁⣉⣙⣭⠿⠿⡲⣙⡿⣻⠛⠜⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⢀⠉⠀ ⠀⠄⠻⠀⢸⠀⣷⢧⡿⣿⣽⠳⠈⡀⢦⠘⠀⣦⣿⢻⠀⠃⣰⠀⠀⠀⠁⠍⣫⠛⠉⠉⠀⡀⣄⡶⣶⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⣱⠋⡴⢀⠉ ⠀⠀⣇⢿⢛⠀⠃⡀⣿⣿⣿⡻⣿⠹⠀⣿⢸⠀⡆⣿⠀⣀⠀⠀⠀⠁⡟⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠶⡤⣀⠀⠀⠀⠁⠾⣠ ⠀⠀⡇⡀⣦⢹⠀⠀⡂⣷⣿⣿⣿⣿⠿⣿⣿⠉⠀⣿⠀⠸⠀⠀⠋⣿⣿⣿⣤⣠⣀⠀⠀⠀⣀⣀⣀⢤⠲⠒⠀⠀⠀⠀⠀⠀⠀⠀⠛⠷⡿⣩⣀⢉⣭⢀⠀⠀⠀⠁⠋⠖⣠⠀⠀ ⠀⠀⠀⠀⠏⣿⢳⠙⠀⠀⣄⣿⣿⣿⣿⣿⣿⣽⢀⣿⠀⢧⠁⠏⣿⣿⣿⣤⡤⣋⣀⣀⣀⢄⠤⠤⠤⠲⠓⠛⠛⠛⠘⠀⠀⠀⠀⠀⠃⡟⣿⣘⢧⠙⣀⣀⢤⠧⣬⣾⠹⠀⠀⠀⠀ ⠀⠀⠀⠆⣿⣿⠰⣆⠉⡀⠹⡀⣿⣿⣿⣿⣿⣿⠀⣿⠀⡿⡟⣿⣾⣠⢀⠀⠀⡠⢄⠵⠿⠴⣤⣀⣋⣾⣶⢀⠀⠀⠋⣗⣿⣿⣸⣆⣿⡟⣿⢿⠀⣧⢻⠀⠀⠀⢆⣇⣇⠘⠀⠀⠀ ⠀⠀⠀⠀⣧⣿⢹⠛⠛⠛⡟⢿⡞⣷⣼⣾⣿⣰⠀⣤⡦⣿⣾⣠⠀⠀⠀⠀⠁⢡⢟⣰⢀⠀⠐⡤⣉⠚⠒⠴⡤⣤⢀⠘⡀⣷⣿⡿⣿⣿⣿⣿⠀⠳⣽⠸⠀⠀⠀⣿⡟⢿⠀⠀⠀ ⠀⠀⠀⠀⡀⣧⣿⣿⣼⣷⣿⣿⢻⡿⢋⣿⢹⠉⠉⠉⠉⣼⠀⠀⠀⠀⠀⠀⠀⡿⣸⠀⠀⠋⠔⣡⣿⣿⠈⠀⠀⠀⠀⠤⠲⠙⣏⣿⣿⣿⣿⣿⠘⡇⡏⣿⠀⠀⠁⣿⢸⣾⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⣿⣿⣿⡏⣽⣿⣿⣾⣿⣶⣿⣿⣾⣣⣷⢸⠀⠀⠀⠀⠉⠈⡇⣿⠃⠶⣠⠀⠁⡿⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⣦⣿⣯⣿⣿⣿⢹⣿⣸⣿⢸⠁⡿⣴⡇⢰⠀⠀⠉ ⢿⠈⠀⠀⠀⠀⡄⣼⣿⣿⣿⣿⣿⢸⢹⠀⡏⣿⢠⡿⣼⠀⠀⠃⠕⡨⣀⠀⡆⣿⠛⠉⠛⠿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⡀⣤⣠⣧⣿⣤⣦⣿⣿⢿⡟⣼⠀⡴⠋⠚⡤⣤ ⣿⢿⠘⠀⠀⠀⠀⢿⣟⣿⣿⣿⢼⢘⣿⣤⣦⢠⡞⣿⢠⠁⠋⡾⣠⣀⠀⠀⠃⣶⣷⣿⣿⣿⣶⣴⣤⣩⣎⢲⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡄⣿⢹⠈⣧⣿⣿⣷⠐⠃⡾⣀⠀⠀⠀ ⣿⡀⣧⠹⠀⠀⠀⣦⣿⣿⣿⣿⢈⣿⢩⠘⠀⡏⣯⣾⠟⣷⣿⢀⠀⠀⠀⠀⠀⠸⠀⠀⣀⣄⣤⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⡀⢢⠙⣇⣿⣿⣺⣆⣿⣿⣿⣿⣿⠛⣰⠀⠀⠀⠀⠀ ⣿⠈⡄⣿⠹⡄⠈⠀⠃⡆⣿⣿⢸⣠⣆⣸⠃⣷⣿⢿⢰⡟⣰⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⡉⣿⣿⣿⢿⠿⣿⡿⣿⣿⡿⣿⢿⠘⠀⠀⠀⠀ ⣿⢸⠀⡆⣿⠹⠀⠀⠀⠀⣆⣿⢸⠇⠀⢿⡿⣼⡇⣿⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠋⠛⠛⠛⠟⠿⣶⣶⣶⣤⣤⣧⣿⢀⠀⡖⣷⣿⣿⣿⣿⣿⢹⣿⡄⣿⠘⠀⠀⠀ ⣿⣿⠀⠀⣧⣿⠘⠂⠀⠀⠀⣧⣿⡌⠀⣧⣿⠀⡇⣿⢹⠋⠛⠛⠛⠟⠿⠿⠿⡿⣿⣿⣿⣶⣤⣷⣿⣠⣀⣀⠉⠋⠀⠀⠀⠀⡤⣤⠀⠀⠉⡏⣿⣿⣿⣿⣿⣿⣿⠀⡇⣿⠀⠀⠀ ⡈⣷⢹⠀⠀⣷⣿⠫⠀⠀⠀⠀⣷⢹⠀⣿⣾⠀⡀⣿⣿⣿⣿⣶⣷⣿⣾⣠⣀⣐⠀⡇⣿⠀⠀⠀⣦⠐⠀⡇⣴⣀⠀⠁⠈⠀⠃⠿⠘⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⠀⡀⣿⠸⠸⠀ ⢉⠛⣞⢿⠙⡄⣿⢻⠀⢠⠀⠀⡄⣻⠀⣧⠸⠀⠃⣿⣾⢀⠀⠀⡀⣀⢀⠀⠏⠸⠀⡇⣿⠀⠀⠙⠀⠀⠀⠇⡾⢰⠀⡀⢠⠀⡇⣿⢻⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⢹⢸⠀ ⣷⣘⠅⠀⢀⠘⡀⣿⢱⠀⠀⠀⠀⣇⠸⡇⣿⡿⣤⣤⢠⠀⠀⠀⠁⡿⢚⠃⡿⢰⠀⡆⣴⠀⠀⣿⠻⠈⠉⠉⠋⠛⠿⠿⣿⣿⣿⣽⣩⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡆⡇⣿⠈⠀ ⠀⠀⠤⠤⢁⠨⠂⡀⡰⠐⠃⠀⠀⡀⣿⡏⣶⣷⢳⠛⡟⠀⠀⠛⡬⢠⠀⣿⢁⠉⠉⠋⠛⠛⠿⣿⣿⣿⣷⣿⣴⣯⣿⢹⠁⣿⣿⣿⠈⢳⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠿⡿⣼⢸⠀ ⠶⠶⠶⠶⠷⣿⠻⣹⠈⠀⠀⠡⠱⠈⡆⣹⡀⠀⣿⣿⣿⠉⠋⡟⢿⠿⡿⣿⣿⣿⣾⣶⣿⣴⣠⣣⢘⠀⡇⣿⠀⣷⣿⣿⡽⣍⣟⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⣤⣷⢛⠉⠓ ⣤⠲⠙⠉⠀⡀⣿⣿⣽⣤⠿⠿⡀⢷⠐⣧⠘⠇⣿⣿⣿⣿⣿⣾⣶⣿⣿⣿⢙⠉⠉⠛⣿⢼⠦⣿⢿⠷⡆⣿⣤⠩⣿⣿⣿⣶⣿⣿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣷⣾⣤⣦⣶⢲ ⠀⢹⡀⣄⢷⠙⢀⣼⣮⢿⡘⣷⣿⣻⢿⡿⣿⡝⣷⣴⣧⣿⢿⠘⠈⣇⣿⣿⣟⠘⡄⠸⣿⢿⠀⣿⣿⡿⠀⣿⢿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣟⣿⣼⠀⠀⠀⠀⠀ ⠀⡄⠘⠀⡠⣷⢿⠛⡈⡀⢷⠉⣧⣿⣿⣿⣿⣿⡈⢆⡌⣷⣿⣿⣿⡻⣿⣿⣿⣿⠉⢹⣿⣿⢸⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⡟⣿⣠⠁⠈⠀⠀⠀⠀ ⠀⠀⡄⠳⡀⡠⣷⣿⢿⠿⠉⡈⠁⣏⣿⣿⣿⣿⢿⠀⠟⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣾⣳⠛⡿⣴⢫⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⠳⡀⣧⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣡⣉⠛⠿⡿⣱⣟⣴⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⠳⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣯⣿⣿⣿⠿⣿⣿⣿⣾⣿⣲⡙⢎⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣻⣿⢿⡟⣿⣾⣤⡟⣏⣿⠟⣿⣿⣿⣿⣿⣿⣿⣻⣴⣠⠀⠀⠀⡀⠤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⣟⣻⣉⣍⣿⢻⣉⣿⠻⣿⠿⠻⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⣴⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠖⣶⠶⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣻⠀⠀⣄⠷⠝⠲⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣦⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣡⠋⠞⣴⣤⣀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠐⠶⣿⣿⡿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣇⡀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⡿⠟⠋⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣆⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀

⠀⡄⠦⠻⠉⡟⣻⠀⠀⠇⠀⠠⠀⠀⠀⡁⣉⢀⡀⢅⢿⣿⣻⠀⠀⠀⣅⢹⣈⣀⣄⣤⣤⠶⣟⠰⡀⢸⠀⡀⢧⠈⠀⠀⠀⠀⣸⠋⣧⣗⠀⠀⠀⠀⣄⠽⠱⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣧⡿⣿⣿⠀⠀⡀⣁⠞⣡⣈⣒⢴⠥⣟⣿⣾⣴⣠⣀⣀⣀⣀⣀⣀⣃⣀⣧⠤⠳⠛⡉⠀⠀⢿⡄⣿⢾⣧⠘⠀⠀⡏⠇⢸⡇⡼⠀⠀⠀⠀⠀⣇⠸⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⣿⣠⣇⠻⡘⢧⡈⢋⣴⠋⠟⡿⣾⣤⢉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣦⣷⣿⢿⣻⣯⠻⢈⢭⢹⠉⠞⢻⡏⢹⣼⢻⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠊⠀⠀⠀⠀ ⠀⠁⠞⣤⢀⠀⠀⠀⣧⠒⣀⢉⣄⣳⣤⣠⠀⠀⣆⢇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠴⠦⠛⡒⣶⣤⣤⣠⣀⢀⠀⠀⡇⢸⠀⠀⣄⣳⢇⠘⠀⠀⠀⡇⢰⠂⠠⠀⠀⠀⠀⠀⠀ ⠏⣾⠠⠀⠀⠀⠀⠀⠂⠁⢬⣷⠀⡄⢹⠀⠀⠀⠀⠀⣄⠑⠈⠀⠀⠀⠁⠉⠚⠴⣤⣀⠀⠀⡄⠱⠈⠀⠉⠉⠈⠀⠿⣰⡆⢸⠀⠀⠀⡀⢿⢹⠀⠀⠀⡾⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⣎⢀⠀⠀⠀⠀⠀⠀⠏⡿⢔⣤⠼⠠⣷⠀⠀⠀⠀⠀⠀⠀⠀⠋⠞⠴⣠⢀⠀⠀⠀⠀⠀⢃⠘⠋⣛⣒⢴⠳⠛⡴⣇⠛⠉⣀⠦⠙⠚⠔⣏⣤⢷⠙⡟⢀⡄⠹⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠋⡿⣾⢠⠀⠀⠃⠞⣀⠀⠀⠀⠀⠀⠁⠖⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣾⣶⢒⠖⠶⡤⣀⢀⠀⡀⣄⣷⢿⠘⡀⢳⠀⣰⠀⠀⣄⢱⠀⠀⡄⠳⠀⠀⠀⠀⠀⠀ ⢻⠀⠀⠀⠃⡵⢟⣿⢹⠀⠁⠟⣠⠀⠀⠀⠀⠁⠟⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢼⠀⡀⢸⠀⠀⠀⠀⡀⢧⠈⠀⡀⣶⠿⠙⠈⠀⠀ ⡆⠸⠁⠾⢋⡿⣿⣿⣿⠏⣿⢰⠁⠉⠉⠋⠾⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣉⢈⠉⠘⠀⠐⠀⠀⠉⠀⠀⠀⢻⠼⣯⣿⠀⠀⠀⠀⠀⠀⣄⠛⠉⠈⡀⣤⡻⣬⠤ ⠀⢸⡏⡿⣿⣿⣿⣿⣿⣿⣶⠤⣤⣥⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⢲⠒⠒⠓⠉⠈⠀⡀⢄⠁⡟⣿⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⠀⠀⠀⣄⠳ ⠀⣅⣿⣿⣿⣿⣿⣴⣠⠀⠀⠀⠁⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣤⠤⠦⣷⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀ ⠃⡿⣿⣿⣴⣠⠀⠉⠛⠴⢀⠋⣴⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣄⣶⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⣇⠘⠀⠀⠀ ⣿⣾⣠⠀⠁⠞⡵⣼⢀⠉⠞⢠⠋⢸⠀⠀⠀⠁⠋⠒⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⣾⢀⠁⠟⣾⠤⣨⢁⡟⣴⠀⠏⣿⠀⠀⠀⠀⡦⠈⠀⠂⣦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀ ⢸⠃⣠⢀⠀⣿⠀⠏⢰⠁⡞⣧⣽⠃⡾⠛⠈⠁⠋⠛⠛⠙⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⢸⡆⠘⠀⠀⣄⣠⣟⠃⡼⢀⡇⣛⣿⠿⡿⣿⣾⣠⢀⠀⠀⡀⣤⢦⠛⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⠀⠀ ⢸⠀⢁⠈⠀⠁⣾⢿⣿⣿⠛⣸⣿⢀⣶⣿⣿⢻⠈⠀⠀⠀⠀⠋⠚⠒⡒⣉⣮⢶⠶⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⠀⠋ ⣿⠈⡄⠻⠴⠀⣧⣿⣿⣿⣿⣿⣻⠀⠀⡀⣤⣷⣿⠻⠉⠟⣼⣾⣤⣤⣤⣤⣷⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⠒⣶⣿⡿⣸ ⣿⢿⠙⠉⠋⠛⡿⣿⣿⣿⣿⣼⣷⢻⠈⠀⡄⢽⡲⣿⣿⣿⠿⢿⠿⠽⠭⠻⠙⣟⣿⠸⠁⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⠻⠚⠓⠙⠋⠛⠓⠈⠉⠀⣄⣱⣿⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⣎⣿⣿⢰⡄⣿⣿⠙⠀⡆⠹⠀⣀⣀⣤⣤⣦⣶⣿⣿⣿⣿⣿⣷⣾⣿⢬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠃⠟⣻⣒⣖⣗⠳⠈⠀⠀⠀⢀⠷⠻⠍⣿⣼⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⢸⡄⣿⢻⠉⣿⣿⣿⠹⠀⣿⠘⠀⠀⡀⠩⠤⠶⠒⠛⠙⡉⣈⣀⢥⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⠛⠻⠉⢧⣿⠸⠀⠀⠀⠀⣷⣿⣿⣿⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⢻⠀⣇⣿⣿⣿⣽⣧⣿⢻⣯⢿⠈⠀⠀⣧⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣴⠀⠀⠀⡀⣦⣿⣿⣿⣿⡟⣿⠙⠋⠛⠟⡾⣵⣯⣟⣿ ⣿⣿⣿⣿⣿⣼⣷⣿⣿⠀⡀⣿⣿⡏⢿⡀⣧⣿⣿⣿⢻⠀⠀⡂⢹⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⢠⠀⠀⠋⠱⡟⣿⣿⣹⣄⣤⣶⣷⣿⣿⣭⣠⣀⣃⣿⣿⣿ ⣷⣿⣿⣿⣿⣿⡄⣷⣿⢸⠀⡄⣿⣿⣿⠀⡀⣷⣿⢾⣗⢿⠛⠉⣿⣄⠦⠒⠉⠉⠁⠞⢀⠀⠀⠀⠀⠀⠀⠀⠏⣾⢀⠁⠟⣿⢟⣿⣿⣿⣼⠀⣀⢤⠠⠁⡟⣠⣀⢀⠏⣿⣾⣯⣿ ⡄⣿⣿⣿⣿⣿⠀⡄⣿⢸⠀⠀⣧⣿⣿⠀⠀⡀⣷⢸⡀⣿⣷⣿⣿⢻⠙⠀⠀⣀⣄⢠⠀⠀⠀⠀⠀⠀⠀⠟⣾⢁⠟⣿⣿⣿⣿⣾⣡⡾⠀⠀⠀⠀⠁⡿⣼⠀⠁⡿⣿⣡⡿⣿⣿ ⠀⣇⣸⣧⣿⣿⠀⠀⣇⢸⠀⠀⡀⣿⣿⢸⠀⠀⡄⣿⠀⣧⠈⣧⣷⣿⣿⢿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠁⡟⣾⠏⣿⣿⣿⣿⣿⣴⢀⡟⢦⠀⠀⠤⠧⡿⣿⢛⡿⣿⣼⢁⡿⣿⣿⣿ ⠹⡀⣷⠀⣧⣿⠀⠀⡇⢸⠁⠀⠻⣇⣿⢸⠀⠀⠀⣧⠈⡀⢸⡏⡇⠀⣄⣦⣿⣻⢿⠿⠻⠀⠀⠀⠃⣴⡟⡿⣿⣿⣻⣿⣴⢀⠀⡏⣼⠀⠉⠋⠟⣿⣿⣵⣿⣾⣠⠃⣿⣿⣿⣴⢋ ⡄⠳⡎⠰⠀⣷⢹⠀⣿⠀⡇⢸⣧⡈⣿⢸⠀⠀⠘⡇⢸⠀⢧⣿⡇⠀⠀⠀⡀⣄⣷⣮⣿⣽⠹⠏⣰⡏⣿⣿⣿⣿⣴⢀⠀⠁⡿⣿⣿⣿⣿⣿⣿⣣⢿⣿⣴⠀⠋⣿⣿⣾⣠⠏⣿ ⠘⡀⢧⠻⠀⡀⣿⠘⣿⠀⡇⢀⠀⢧⣏⢸⠀⠘⣇⠈⢠⠀⡇⣰⡇⠀⠀⠀⠀⠋⠴⢀⡁⣿⣿⢠⠏⣿⣿⣿⣴⢀⠀⠀⠁⡟⣿⣾⣵⣿⣿⣷⣿⣷⣿⣭⠬⠶⣷⣶⣠⠀⠇⣻⣿ ⡄⠰⡀⣦⠸⠀⡆⢹⣿⠈⡇⠀⠸⡀⣿⢸⣧⢀⠀⣿⡌⠀⡇⠘⡇⠀⠀⠃⡿⣼⠀⠏⣿⣿⢠⠇⣿⣾⢠⢀⠀⠀⠀⠁⡿⣿⢡⠟⣿⣴⢁⡾⢈⣦⠻⠄⣦⣷⣉⠀⠂⠁⡿⣿⣿ ⠀⠀⠀⠑⣇⠈⠀⣇⣿⢸⡀⠇⣷⠸⡆⢘⡇⠈⠻⡀⢇⠀⡟⢸⡿⠀⠟⣼⣟⢡⡿⣿⣿⢠⠁⡿⣴⠀⠀⠀⠀⠀⠋⣿⣿⢿⣿⣴⢀⠁⡾⢟⣦⠻⡈⣷⢮⠻⡈⣄⠷⣿⣿⣿⣿ ⠀⠀⠀⡄⢹⢿⠀⡄⣿⢻⠈⡇⡀⣷⠀⢸⡄⢸⣄⢰⠀⠇⣿⢻⣿⡟⣩⠟⢿⣿⣿⣿⣰⠋⣿⢩⠋⠛⠟⠷⣿⣿⣷⣿⣿⣾⣤⣠⣥⣾⠿⢲⠀⡀⣦⡙⣮⣿⣿⠻⠯⡿⣾⣤⠀ ⠀⠀⠀⠀⡆⡔⠠⠀⣿⣄⢳⡄⠀⡄⢺⢠⠀⢹⠀⠀⠀⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣶⣶⣴⣩⢛⡿⣿⣿⣿⣿⣾⣠⠀⠀⠃⡴⡞⢠⠉⠛⠟⡿⣿⣿⣱⡟⣶⢸⣀⠀⠀⠀

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⣀⣄⣦⣷⣿⠻⠈⠀⠀⡏⣿⢰⠃⡿⢈⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⣈⣤⠢⠙⠀⠀⠀⣆⢿⣧⠘⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⣡⡘⠀⠄⣿⢃⠸⠀⣇⠀⠀⠀⠀⠀⠀⠀ ⠙⠉⠂⠀⡀⣦⣶⢾⣿⣿⢰⠇⣾⣤⣤⢦⠷⠻⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠻⠈⠀⣀⣻⣧⡸⠀⠀⡀⠀⠀⠀⢀⠀⢀⡁⡿⣸⠀⢀⠟⣸⠈⢇⠋⣼⠀⠀⠀⠀⠐⠀⠐ ⠀⣠⣄⣤⠦⡶⣴⣷⡻⣿⣾⣷⠿⠻⠛⠙⠙⠋⣉⣀⢀⠀⠀⠀⠂⠉⠀⠀⠀⠀⠀⠀⣄⣷⠛⣟⢹⣷⠘⠀⡀⠀⠁⠀⠀⠀⠀⡟⡞⢹⠀⠟⣿⣼⢀⡀⣿⢿⠾⠴⡥⠭⠿⠙⠠ ⠐⢀⠀⠉⠊⠖⣶⣶⣹⠉⠁⡾⣤⢰⡀⣿⣼⣷⣿⢿⠻⠛⠉⠉⠀⣀⢦⠙⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣾⠙⠂⠀⠀⠀⠀⠀⠁⢸⡀⡦⣶⣷⣿⢸⠀⠋⣿⣿⢿⡿⣨⣀⣈⣄⢻ ⠋⠟⡷⣹⠛⡴⣰⣃⣀⢧⡽⢈⠀⠀⠀⣠⢮⣠⠁⠛⠟⠿⣿⣿⣬⠶⠓⡙⣌⠳⠈⠀⠀⠀⠀⠀⠀⠀⣄⣶⣶⠾⠟⠛⠛⠚⡶⢻⠉⠉⠈⠀⣀⣤⡷⣿⣾⣟⣿⣿⣧⠻⢀⠀⡘ ⠀⠀⡏⣋⣷⠙⠛⠞⠳⡿⣿⢿⠀⠀⠀⠎⢫⠿⣿⣿⣿⣿⣶⣷⢿⠻⠛⡛⣿⠻⣟⠻⠈⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⠀⡏⣳⢯⡘⣀⣀⣤⣷⠿⣇⢱⣿⣿⣿⠀⡀⠻⠀⠀ ⠏⣴⢃⣦⠗⣰⡇⢻⣿⣿⣿⣿⠹⠘⠀⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣄⠳⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⣀⠀⣇⠘⠀⣀⠢⠙⠀⠀⣧⣸⠀⣿⣛⣙⢤⠶⡟⢹⠠ ⣦⠟⢢⠙⡀⢻⠀⣦⣲⢖⡷⣙⣷⢸⡏⠀⣆⣿⣿⣸⠀⠀⠀⡟⣠⣀⣀⣀⢤⠲⠉⠀⠀⡀⣦⠻⠈⠀⠀⠀⠀⠀⠉⠛⠾⡴⣠⣀⠦⠓⠚⡖⢶⠙⠀⢱⠀⣄⣿⣾⢿⠀⡄⣷⠈ ⠁⣼⠠⡓⢻⣽⠦⠒⠑⠉⠀⡀⣠⢻⣸⠀⠀⣧⣿⢀⠀⠀⡞⣿⠀⠀⠀⠀⠀⠀⡀⢣⠈⠀⠀⠀⣄⢦⠶⠿⣤⣠⢀⡀⣄⠤⠓⡉⣉⣭⠬⠢⠒⡉⢫⡀⢢⣷⣿⠿⣿⠈⠀⡇⣿ ⣶⠸⠀⠀⡥⣾⢶⠲⠓⡙⢮⠘⠀⡇⢨⠀⠀⡇⣸⠀⠀⠀⢐⣿⠀⠀⠀⠀⠀⠀⠉⠟⣿⣹⠀⠀⠀⠀⠀⡀⢄⠤⠤⠤⡤⣳⣈⣀⣄⣷⣿⢿⠻⡈⣧⢸⠀⠀⣽⣷⣿⢸⠀⡇⢸ ⠛⣄⠳⣏⣺⠐⠤⠦⡒⢟⣈⣤⠙⠀⢻⠀⠀⡟⢀⠀⠀⠀⠀⣷⠀⠀⠀⠁⠿⡿⣾⣠⢞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠙⠀⠀⣿⣿⣿⣿⡻⣷⠈⠀⡆⡘⣷⢸⠀⡇⠰ ⣀⢸⡇⣀⢦⠚⠛⠖⡤⣀⣄⠹⠀⢂⣏⠈⠀⢸⠀⠀⠀⠀⠀⡄⠳⠋⠗⣿⣿⣻⠶⣠⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠏⣾⣷⣿⣿⣿⢖⣀⣿⣿⣿⣿⢰⠀⠀⢿⡀⢳⠀⡇⠀ ⠟⢸⠀⢆⠛⣕⡯⣼⠶⠼⠤⡄⠻⠀⡀⢷⡿⠀⠀⠀⠁⠉⠓⠛⠶⣾⣶⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣶⣵⢡⠟⣿⣼⢦⠙⡀⣳⣯⣿⠐⠀⠀⡆⠘⡀⢹⡿⠈ ⣰⢻⠈⠀⡄⠹⡀⢲⠉⣏⠲⠙⡀⢹⠀⡄⣿⠀⠀⠏⣠⠋⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⣹⣉⣯⣾⣶⣥⣾⢀⠙⡌⠳⡀⢣⣷⢸⠀⠀⠀⢸⠀⡄⣿⢸ ⠀⡆⢹⠙⠈⡀⠳⠈⠀⣀⢹⡀⣷⣄⠻⠀⣇⠈⠃⢠⠏⢠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣩⣀⢒⠖⡤⣀⠀⠃⣴⢸⡀⢳⡀⣾⢠⠀⠀⠀⣇⠀⡇⡿⣿ ⢻⣝⡬⣀⣍⢿⠶⣤⣀⣀⣀⢄⡷⠈⡄⠸⡀⢹⡼⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠲⠙⠈⠀⠀⡸⠀⢸⠀⡀⢳⢸⠀⠀⠀⠀⡇⠀⡇⣸⣿ ⣷⣿⣿⣿⣼⠁⣛⣛⣟⢮⠳⠈⠀⢇⠻⣏⠈⣿⢸⡏⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣄⢳⠀⠸⠀⠀⡆⢸⠀⠀⠀⠀⡇⠀⡇⢸⣿ ⠦⣽⣶⣿⢻⣿⣿⣿⣸⠀⠀⣄⠙⡘⡄⡘⣿⣀⢸⣸⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣿⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠦⢶⠀⠀⠀⢸⠀⠀⠀⠀⡆⠀⡏⢳⣿ ⠀⣦⠻⡨⣦⣷⣿⣿⢀⠋⠸⠁⡟⢸⠀⢧⡏⠀⢇⢸⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠾⣶⡷⣾⡏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⠀⠀⠀⠀⠸⣼⡟⣿ ⠀⠀⡄⢻⠀⠀⣄⣷⠇⣿⢹⡇⣆⠀⠀⡀⣷⠀⡇⢸⠀⣧⠈⠀⠀⠀⠀⠀⠁⠋⡿⣷⣸⣇⠿⣿⢿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢧⠀⠀⠀⠀⣿⣇⣿⣿ ⠀⠀⠀⣎⣻⠀⠁⣧⣿⣿⣿⡞⠈⠸⠀⠀⡅⠸⠀⢸⠀⠀⢧⠘⠀⠀⠀⠀⠟⣼⢀⠀⣉⣿⣿⣼⢀⠀⠀⠟⢉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡀⢸⠀⠀⠃⣰⡇⣿⣿ ⠀⠐⠀⠀⣧⠸⠂⡀⢻⣄⣷⢻⢷⢹⠀⠀⡾⢸⠀⢇⠘⠀⠀⣦⠻⠉⠀⠁⣿⢻⠟⡿⣾⣶⢀⠀⠒⠗⡾⣠⠀⠉⠞⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⢸⠀⠀⡞⠀⡇⣧⣿ ⠀⠄⠀⠀⡄⣷⠌⠀⡤⢻⠀⣄⡳⣯⠹⠀⢸⣇⠈⠀⣧⠲⠈⠀⡄⣳⣬⡦⣿⣿⢚⣖⢲⠒⠒⠒⠒⣶⠒⠒⡽⢉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠏⢠⠀⡟⡇⣿ ⣤⠲⠙⢉⠀⡀⣿⠈⠀⡀⢷⠈⠀⡀⣤⢷⣏⡈⢱⠀⡀⢳⡀⢤⠓⠉⣍⡩⢹⡉⣚⢶⠶⠲⠔⠤⠤⠠⠀⠠⠀⡒⣒⣄⠤⠷⠫⠛⠑⠉⠀⠀⠀⠀⠀⢸⡆⠀⠃⣰⠀⠀⣹⡿⣿ ⠀⠀⠀⣀⣇⠿⡿⢻⠈⠀⠀⣄⠳⠈⠀⠀⡀⢦⡌⠘⠀⠉⢻⠚⠷⣾⣓⣛⢛⠛⠙⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢄⣤⢶⠿⠛⠈⠛⢰⠀⠃⡸⠀⠀⠏⣟⣿⣿ ⠀⠀⠀⠃⡿⣿⣿⣿⢿⠈⠀⠀⠀⣀⢦⠛⠈⠀⡇⣾⣠⢀⠀⠁⠉⠒⠶⠵⡤⣀⣀⣀⡀⣀⣀⣀⣀⠤⠦⠶⠒⠙⠉⠈⠀⠀⠀⠀⠀⠀⠁⠈⣀⣀⣦⠘⠁⣰⠀⠀⠁⣟⣿⣿⣿ ⠀⠀⠁⡛⣿⣿⣿⣿⣿⣿⠙⠀⠀⠀⠀⠀⣀⢯⣰⠀⠋⠿⣷⣉⠀⠀⠀⠀⣄⠲⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠶⠑⠉⠀⠀⡀⣄⠦⠲⠝⣹⠀⠀⠀⡿⣿⣿⣿⣿ ⠃⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⠹⠀⠀⠀⠀⠃⣸⠋⣴⣤⣧⠘⣄⢴⠲⠙⠉⠀⠀⡀⢤⠲⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠠⠀⠀⠀⠀⠉⠛⠞⡿⣿⣿⣶⣦⣤⣀ ⡤⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠈⠀⠀⡇⣾⢀⠀⠀⠐⣦⠛⠉⠉⡛⣻⣄⠤⠲⠛⠙⠋⣙⢌⠤⠢⠛⠛⠛⠙⠉⠉⠉⠋⠛⠛⠛⠒⠀⠤⠤⡠⣁⣯⣿⡾⣴⣠⢀⠠⠀⠀⠄ ⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠈⠀⢷⠙⠀⠀⠠⠀⠠⡄⠀⡄⣄⠻⠀⠄⠾⡙⢤⠲⣙⣀⣀⣇⣘⠳⣄⠳⠓⠙⠉⠀⠀⣳⣝⠿⠾⠿⡶⣤⣠⢀⠀⠀⠀⠁⠉⠉⠉⠟ ⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠈⣄⢠⠐⠈⠀⢈⡀⠀⠁⠀⣌⢷⠶⡶⣶⠳⠉⡀⣄⠿⠟⣶⡶⢷⡶⠶⠶⡬⣤⣠⣀⣀⠀⠀⠀⠀⠉⠋⠞⡤⡀⣀⠀⠈⠁⡟⣿ ⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⠀⠀⠐⠀⠐⠀⠀⠂⠀⠐⠂⠀⠐⠀⠀⣂⣤⣐⣀⠐⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠖⡴⣠⢀⠀⠀⠀⠀⠀⠟⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠉⠀⠠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠉⠒⠄⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠐⠿⠸⠁⠼⠳⠀⠇⠻⠋⠔⠷⠿⠛⠛⠻⠛⠏⠛⠛⠛⠛⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠃⣿⣿⣰⠋⡟⢿⡟⣝⣜⠻⡌⣀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢫⣿⣿⣻⡴⣠⣤⣦⣷⣿⢦⡅⣤⣷⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣿⣿⢠⠀⠀⠀⠇⢠⡀⢤⡖⠙⠀⣅⡻⣀⣧⣿⢿⣯⣿⣿⣿⣿⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⣿⣿⣿⣿⣾⢠⠀⠉⠚⠓⡉⠀⠀⠀⠀⠀⣀⣦⣶⢿⢹⣄⣷⢿⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠋⠟⡿⣿⣿⣿⣿⣾⣰⠀⠏⣠⢀⠀⠀⡀⣄⠤⠳⠈⠀⠀⠀⠀⡀⣄⢧⡙⣧⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⡿⣿⣿⣿⣿⣯⣿⣿⣼⠀⠀⠁⢰⠀⠁⡿⣙⠉⠉⠉⠋⣿⠹⠀⠀⠀⠀⡀⢠⡄⢷⣿⢾⣿⣿⣿⡟⠺⠓⠈⠀ ⠀⠀⠀⠃⣯⣿⣿⣿⣿⣾⣿⣿⣴⠀⠀⠀⡏⠹⠏⣿⣴⣡⣋⣒⣒⣔⣤⣄⢤⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀ ⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣿⣠⠀⠀⠀⠀⣶⣤⣤⠄⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⠟⣿⣿⣿⣿⣿⣿⢹⠀⠀⠀ ⠀⠀⠇⣿⣿⣿⣿⣿⣿⣼⢀⠀⠟⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠙⠀⠀⠁⠟⣽⣿⣿⣿⣿⡿⣿⣾⣿⣽⣿⣿⠈⠀⠀ ⠀⠁⡟⣿⣿⣿⣿⣿⣿⠜⠓⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⢠⠀⣶⣶⣷⣴⣠⣋⣨⣄⣀⠀⣇⣿⣿⣿⢸⠀⠀ ⠁⡟⣷⣿⣿⣿⣿⣿⣿⣿⣈⣀⣄⠥⠭⠻⠙⠀⠀⠀⠀⠀⠀⠀⠋⠘⡇⠈⠟⡻⠵⠉⡮⡴⣤⢈⠭⠿⠿⡝⣳⣿⣹⠀⠀⠀ ⡇⣿⡿⣿⣿⣾⡀⣷⣿⣿⣿⠿⣩⢁⠀⠁⠉⣏⠻⠈⠀⠂⡂⡮⣩⠕⢷⣫⣿⣵⣈⡉⠋⠶⣿⣮⣸⣇⣵⣿⣿⣿⢛⠛⠋⠘ ⡏⣷⣿⣿⣿⢸⠀⡀⣦⣿⣿⣿⣿⣿⠿⠸⡠⡿⣀⡠⠰⠁⡞⣤⢕⣴⣴⣠⣧⣤⠦⠶⣷⡿⠿⠿⣿⣿⣶⣶⣤⣀⠀⠀⣄⢀ ⣼⡏⣿⣿⡟⢀⠀⠀⠏⣾⣷⣾⣷⣿⣯⣿⠟⢛⠛⠚⠖⣠⠀⡄⢀⠀⠀⠀⡀⢢⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⣿⣿⣿⠘⠀⡞⣇⢀⡁⡿⣽⣾⡿⣃⣿⣗⡄⠸⠀⠋⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠆⣴⣀⣿⢹⠆⢠⡇⡇⣿⣠⠀⢦⡙⢭⠭⡫⡿⢋⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡅⣿⣿⠸⠀⡟⣿⢿⠛⠙⠉⠉⣋⣟⡿⣾⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⣿⣿⣿⡾⣷⣽⣦⣿⣿⣽⣯⣾⣶⣐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣷⣿⠸⡀⡆⡤⢀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⠈⣦⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢠⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⡇⠈⠀⠀⠀⡇⠰⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀⣷⠘⠀⠀⠉⠉⠚⠖⠴⠤⠲⡟⢸⠀⡟⢸⠀⠀⠀⡇⠸⠀⠉⠞⠤⠤⣀⣀⣁⣠⢤⠤⠲⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⡟⠚⠴⣠⣀⠀⠀⠀⠀⠀⠁⣼⢀⠏⣠⣧⠘⠀⠀⠀⢻⠇⣰⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⣀⢤⠲⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢐⠀⠀⠋⠖⣠⣇⠈⠀⠀⠀⠀⠀⠀⠀⠃⡼⠇⡾⢀⠀⠀⣇⠻⠈⠀⡇⡘⢸⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠦⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠏⣴⢀⠀⠀⠀⢳⠈⠀⠀⠀⠀⠀⠃⣹⠞⣷⠀⠁⠈⠀⡀⣸⣄⠳⠉⣿⣿⠈⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⣴⢀⠀⠀⠀⠀⠀⠀⣀⢤⠳⠈⠀⠃⣿⣰⠀⡀⢻⡟⣿⠙⠀⢸⠀⠀⣄⣿⣨⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠢⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠫⣿⢹⠋⠛⠛⣿⣿⣿⣿⣿⢸⠀⠀⠀⡀⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠦⠙⠀⠀⠀⠀ ⠀⠀⠃⢰⠀⠀⠀⠀⠀⠉⠋⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣿⣿⠻⠈⠋⠙⡟⣷⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠈⠀⠀ ⠀⠀⡇⠀⠉⠛⠟⠿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣴⣤⣀⣀⣠⣀⢀⠀⠀⡀⣦⣿⣿⢻⡀⣦⡿⣿⣿⣷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈ ⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⠀⠀⡄⣷⢿⠈⡄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄ ⠀⠀⡟⣿⣿⣿⣿⣿⣿⣾⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠛⠙⠉⠉⠈⠏⣿⣿⠀⠀⠀⠀⣧⢿⠉⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡉⣤⣤⣿⣿⣿⣿⡿⣾⠀⠀⠀⠀⠀⣿⣸⢧⡈⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠇⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠋⠞⠶⣤⣤⣤⣤⣤⣯⣿⣾⠉⡿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⣿⣿⠈⣄⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⣿⣾⣡⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠛⠿⣿⣿⠿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⣿⣼⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⣸⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣏⣿⡾⣤⣀⠀⡀⣿⣯⣸⠀⠀⠀⠀⠀⠀⠀⠂⣼⠀⠀⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⢀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠁⠟⡿⣶⣠⢂⠉⠀⠀⠀⠀⣄⣷⢸⠀⠀⠀⠀⠀⠀⠀⠉⠙⠀⠀⠀⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⣰⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠁⠟⣶⣤⣀⢤⠦⠄⣤⢤⠢⠒⠒⠖⣤⢤⠢⠓⠉⠉⠊⠖⡠⢀⡀⢤⠤⠶⠤⢦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⠀⠀⠀⠀⠀⠁⣼⢀⠟⣽⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠤⢤⠦⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠁⠉⠉⡏⣿⢛⡶⣠⣀⣀⢤⠤⠲⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⡀⠈⠀⠀⠀⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢦⡵⣾⡵⡇⠉⠟⢡⡜⢟⢠⡜⢹⡆⡔⢁⠞⠣⡈⠢⡒⢠⡅⠘⠀ ⠀⠀⢾⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⢶⡷⢹⡾⠏⢹⡎⢲⡒⢭⣭⢀⠀⠀⣄⠫⠚⠖⡴⢠⠀ ⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣾⣤⣤⢲⠻⠛⠉⡈⣀⣀⣀⣁⢉⠛⠀⠀⠀⠁ ⠀⠀⡇⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⡀⣀⣄⠤⠤⠦⠒⠒⠛⠾⠴⠠ ⠀⠀⠀⣆⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣸⠀⠀⠀⠀⠀⠀⠁⠉⠈⠀⠀⠀⠀⠀⠀⣀⢤⠦ ⠀⠀⠀⠀⡄⠳⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠃⠈⠀⣿⣿⣿⣿⢸⠙⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢧⠘⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣠⠘⠀⠀⠀⠀⠀⢯⣿⣿⣿⣿⣿⣿⣿⠈⠳⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⣠⢤⠒⠙⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⡆⠀⠀⠀⠀⠀⣦⣿⣿⣿⣿⣿⣿⣿⣿⠹⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣾⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠁⠉⡉⣮⣿⣿⣿⣿⣿⣿⣿⢻⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠈⠁⡟⢓⣿⣜⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠒⠶⠲⣻⠈⠀⡀⣄⣿⣴⣿⣿⣿⣿⣿⣾⠙⠀ ⠀⠁⠞⡫⣼⢃⣳⣷⣼⣻⣸⢸⣾⢯⡄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠰⠀⠀⡇⢠⠀⠀⠀⢠⡖⢦⡱⣈⣄⢷⡟⣿⣛⣿⣿⢹⡇⠀ ⠞⢨⡾⣬⢜⣰⣾⢻⢡⣿⣿⣽⡆⣖⢹⣿⠀⠀⠀⠀⠉⠉⠏⠿⠀⠀⡌⠁⠀⠀⡿⠛⢻⡩⣈⣅⠦⠓⠙⣏⠻⠛⣶⣶⣷⣿⣿⢿⣸⠀ ⡆⡕⣜⡟⢸⡏⣾⡄⡥⣿⣴⣄⢤⡧⣵⣾⠁⠛⠶⣠⣀⣀⣀⠀⠀⠀⢻⢠⠁⠉⣟⣿⣸⠋⣛⣔⠭⠶⣶⣶⣶⠲⠙⠈⠀⡀⣦⣹⢩⣋ ⠀⡴⡜⣄⡽⢀⠀⠋⡴⢀⠀⠀⠁⡹⡟⣴⢀⠀⠀⠀⠋⠴⣤⣤⢤⠦⣳⠉⡏⠙⣄⣶⣠⢀⠀⠀⡀⣀⣀⣀⣄⣤⠶⣗⠙⠉⠌⠦⢤⡤ ⠀⠀⡆⣷⡿⢹⡔⢀⠀⠀⠀⠋⡶⣴⢀⠀⠀⠀⠀⠃⢸⠋⠾⣴⣋⣿⣿⣾⣶⣿⢿⠿⠛⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠤⠠⠀⠀ ⠀⠀⠀⠀⣿⣠⠀⠀⠀⠋⡿⢞⠴⢀⠀⠀⠀⠀⠀⡍⣿⣻⠟⡿⣿⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⡀ ⠐⠀⠁⡟⢠⠀⠁⠟⡷⣴⣀⠀⠇⢪⠒⢴⠤⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠋⠒⠒⠒⠒⠦⠢⠐⠀⠄⠀ ⠀⠏⣾⢠⠀⠟⣾⣄⢀⠀⠀⠏⣻⠀⠁⠟⡿⣹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⢰⠀⠃⣠⠀⠀⠀⠀⠀⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠈⣿⣀⣇⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⠸⣯⣿⣿⣿⣿⣿⠚⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⣿⠈⠀⠀⠀⠀⠁⠛⠿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣹⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣨⣄⣷⣿⣟⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⣿⣿⠛⠉⠛⠿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠛⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⠀⣇⢸⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣋⢟⣿⣽⠉⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡁⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠏⣿⣾⣤⣟⣿⣿⣿⣴⣿⣿⣿⣿⣾⢀⡏⣴⣿⣿⣾⣽⣛⢟⣿⣶⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⠉⡼⢇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⢀⠀⣿⣿⣿⢠⡟⣿⣿⣿⣴⠀⠔⢷⠃⣿⣿⣿⣴⣤⣢⠋⡽⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⠀⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢸⠀⠀⣇⣿⣻⡟⣼⣿⣿⣸⠀⠀⠀⡀⢦⣔⡤⣠⠀⠤⣷⣿⣶⣴⣏⣾⣿⣿⣿⣿⣿⣿⣿⣸⡄⠹⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣿⠻⠉⡏⣿⣿⣿⢿⣏⣿⢸⠀⠀⣄⠠⠀⠉⠀⠀⠀⠀⠀⠀⠛⡿⣿⣾⣯⣽⣿⣿⣿⣿⣿⢸⠀⡇⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣄⣶⣷⣿⣿⣿⣿⣿⣿⣼⢧⠀⠀⠀⠀⠀⠀⠀⠃⡿⢰⠀⠇⣿⣿⢛⡟⣿⣿⣿⢻⣿⣾⣿⢒⠒⡿⡸⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠉⠉⡟⣿⣿⣿⣿⣿⣻⣄⡷⠘⠀⣀⢦⠙⢀⠒⠔⣠⠀⠀⡳⣬⣠⣁⣟⡿⣿⣿⣿⣷⢟⣴⠂⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⡄⠲⡈⢄⠹⠀⠀⠀⠀⠀⣀⣍⣟⣿⣿⣴⣀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣴⣀⠀⣉⣿⣿⣿⣿⢿⠿⠿⠻⠛⠙⠉⠉⠉⠛⠿⣿⣾⣿⣾⣀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣶⣠⠁⠋⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣵⣿⣿⣶⣤⣁⢚⡴⢀⠀⠃⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠀⠁⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣶⣶⣶⣶⠴⠤⣠⣀⠀⠀⠀⠃⣿⢩⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠏⣷⣿⣿⣿⣿⣾⣴⣠⣀⠀⠁⡿⣴⢀⠀⠀⠀⠀⠁⠀⠀⠁⠚⠴⡥⣉⣉⣛⣐⣏⢻⠀⠋⠛⠚⠒⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⣸⡇⣿⣿⣿⣿⠀⠀⠀⣷⠈⡏⢹⠀⠀⠈⠀⠀⠀⠀⠀⠂⣸⠏⣿⣹⠚⡴⢋⡴⢀⡟⣾⢁⡰⠋⠿⡅⠾⡤⢦⠹⠀⠀⢸⠃⠀⠀⠀ ⡄⢹⡄⣿⣿⣾⣿⠻⠉⠋⣿⢰⡀⣄⢦⣤⢀⠀⠀⠀⠀⠀⠀⢹⡄⣶⣠⠋⡴⢃⠸⠏⣴⠏⣠⠟⢿⣠⡜⢃⡼⢷⡇⠈⠁⢸⡀⠈⠀⠀ ⠀⣄⠠⡄⣷⢿⡈⣄⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⠚⡠⠁⠟⣼⠆⣠⠞⢁⡾⢯⢠⠎⢃⣰⠀⡼⡇⢾⣠⠀⠀⢸⠀⠀

⠀⠀⠀⠀⠋⣴⠄⡠⢉⠊⠔⡡⣟⣤⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣀⣧⢻⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠚⣠⠀⠀⣀⠀⠀⠀⠁⣸⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠞⣠⠀⠀⠀⣧⠘⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠊⠔⠀⠀⠀⠀⠀⠀ ⠀⡄⣸⣀⢄⠦⠓⠉⠀⠀⠀⡇⢿⠀⠀⡇⠀⠀⠀⠀⠀⠀⠆⢀⠀⠀⠀⠀⡇⢿⠒⠒⠒⠙⠉⠉⠉⠓⠕⠭⣉⢉⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⢸⠀⠀⠀⠀⡁⢞⠿⠴⡷⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠹⠨⠄⠂⠒⣉⢦⣱⣀⠀⠀⠀⣀⢄⠦⠽⠼⠀⠀⠀ ⠀⡀⣀⣀⣦⠤⠦⢒⡟⣮⠈⡇⢹⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡇⣸⠀⡀⣀⢄⠦⣕⠳⢨⠀⠀⠀⠀⠀⠀⡄⢼⠛⠐⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⡷⡜⠙⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢠⡸⢸⠀⠁⢤⠘⠀⠀⢦⡘⠳⠀⠀⠀⠀⠀⠏⣉⠯⠒⠒ ⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⢿⣏⠦⠑⣈⠤⠒⠑⠈⠀⠀⠀⠀⠒⡠⠋⡠⠃⢲⡤⢀⠀⡀⠹⠀⠀⡄⡸⢳⠁⠊⠔⡠⣀⠀⠀⠀⠀ ⠀⠀⠀⠁⠰⠀⠀⠀⠀⠀⠀⠁⣿⡂⠀⠀⡀⣀⠤⠢⠒⠒⠒⠒⠒⠔⡠⠀⠀⡆⠀⠀⠀⠀⠀⡇⠉⠀⠀⡄⡠⢀⠀⠀⠀⠀⠀⠀⠉⠒ ⠓⠋⠛⢛⠉⠈⠀⠀⠀⠀⠊⣿⣡⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀⠃⡾⢰⠀⠀⠀⠀⠀⠀⠁⠊⠴⣸⠀⠀ ⠀⠀⡀⣀⢤⡒⣿⣌⣤⣶⠴⢁⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠈⠀⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠁⠟⡩⢀⠄⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠦⠓⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡜⣆⢬⠐⠀⠀⠀⠀⠀⢄⠒⠉⠊⠖⣤⠹⠀⡁⣏⣿⢘⠀⠀ ⠠⠒⠈⠀⠀⠀⠀⠀⠀⠀⣄⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡠⠀⠀⣄⠢⠓⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠋⡼⢹⣟⠀⡏ ⠀⠀⡀⢦⠒⠉⠀⠀⠀⠀⠀⡀⢤⠓⠉⠉⠀⠀⠀⠀⠀⠂⠚⠤⣠⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⢸⣿⣉⠊⢳ ⠀⠀⠀⠀⠀⠀⣀⣀⠄⠤⠯⠴⠤⣀⢀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠱⠀⠀⠀⠃⣴⣷⣿⡻⢿⢞⣧⢹⠉⠏⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢢⠈⠀⡃⠀⠀⡀⣷⢛⠞⣠⠀⠀⣿⣼ ⠀⠀⠀⠀⠀⠀⠛⠒⡴⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢬⡤⢣⠉⠀⡄⣿⠁⡴⢀⠏⣴⠀ ⠀⠀⠀⠤⠤⠤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠉⣏⢿⠛⣿⡿⠀⠞⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣴⡠⣠⡇⡞⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⢀⠀⠀⠀⠀

⠋⡿⣿⣿⣿⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢉⠀⠀⠀⠀⠀⠀⠀⠉⠉⠚⠿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿ ⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣼⣻⣩⣋⣿⣿⣛⢛⣟⢻⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⣿⣿⣿⣿⣴⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣿ ⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠛⠿⠿⠻⡿⣸⠀ ⣀⣧⢻⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠁⠋⠿⣿⣤⣠⣀⢀⠀⣀⣧⢿⠈ ⠀⡟⣾⣠⣀⣀⣀⣄⣧⣶⢿⠻⠙⠈⠀⠀⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡶⣤⣉⠋⠟⡶⣷⣨⠀⡇⢸⠀⠀⠀⠀⠀⠀⣿⢸ ⠇⣿⢠⠀⠀⠀⠀⠼⡣⠀⢹⡈⣀⣤⢶⠷⠛⡙⣍⢳⠀⠁⠈⠀⠀⠀⠀⠛⠙⠁⢟⠿⣴⣠⣣⠉⠉⣾⢀⠀⡟⢠⠀⠀⠀⠀⠀⠀⡏⢸ ⡇⣿⠀⠀⠀⠀⠀⣷⡄⠱⣄⠳⠈⠀⠀⠁⡞⣁⣼⣷⠻⡿⢴⠀⠀⠀⠀⣄⣧⣾⢠⢆⠹⠈⠀⠀⠀⠁⠋⡴⢀⠀⠀⠀⠀⠀⠎⢡⣿⢰ ⡄⣿⣜⠱⠀⠛⠉⡟⠙⠉⢌⠲⣑⣉⣉⢊⠖⡠⠀⠀⣧⢹⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⡀⣄⠤⠤⡤⣀⠀⠀⠀⠀⠀⠁⠊⡠⠃⡿⣱⠟ ⢻⣆⢿⡘⢦⠐⡇⣀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣼⠀⠀⠀⠀⠀⠀⡆⢿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠴⣀⠁⠟⣿⣿⣿⣿ ⣿⢿⣝⣷⠻⠈⡄⠲⡵⠉⠀⠀⠀⠀⠀⠀⠀⠊⠐⠏⣾⢀⠀⠀⠀⠀⠀⠀⠀⣄⣷⠻⠈⠀⠀⠀⠀⠀⠄⣀⠀⠀⠉⠟⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠻⠉⠀⠀⣀⢀⠀⠀⠀⠀⠉⠛⡿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣧⢿⠿⠻⠛⠛⠛⠿⠿⣾⣯⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠟⠿⠿⣶⣴⣤⠦⠒⠒⠓⠙⠀⠀⠀⠀⠂⠒⠖⠤⣤⣀⠀⠀⠀⣉⣛⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠉⠉⠁⠛⠛⠉⠉⠉⠉⠉⠁⠉⠉⠈⠀⠉⠉⠉⠉⠉⠛⠛⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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⢀⠀⠁⠒⠤⠢⠘⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⠀⠀⡀⠉⡸⠀⠀⡀⢸⠀⠀⠀⠀⠣⠈⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠊⡴⠤⠦⠓⡌⠘⠀⠀⠁⠖⠤⣀⣀⡀⣋⢴⡠⣀⣀⣀⣀⣄⠢⠙⡇⠀⠀⠀⠀⠇⢀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⠉⠀⠀⠀⠀⣄⢷⠈⠞⢀⠀⠀⠀⠋⡰⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⢹⠛⠒⠒⡞⠀⠃⠙⡉⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⢄⠙⠀⠀⠋⡷⣴⢦⠈⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣆⢻⠉⠒⢸⠀⠀⣄⡳⢿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠿⡩⠖⣠⢦⠙⣾⠁⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢸⠀⠀⣱⠀⠀⢣⠀⠀⠀⠀⣿⣝⣽⠻⠉⠀⡇⠻⠀⠀⠀ ⠀⠀⠀⠀⢳⢆⠈⠀⠀⣦⢦⡷⢿⡟⣿⠲⠔⠤⠠⠔⣀⢢⠉⠞⠙⢻⠉⠉⡄⢾⠙⡇⢿⡶⢰⠁⠸⡄⢷⡛⣦⢿⠉⣿⢻⠀⠀ ⠀⠀⠀⠀⡄⠸⣄⠑⠀⠀⠀⠀⠀⣀⣄⢦⠑⠈⠀⠀⠀⠀⠀⠀⣇⣸⣀⣀⣆⠿⡘⡷⣾⠀⠀⡀⢸⠀⡀⢣⢷⣿⣿⢸⣆⢹⠀ ⠀⠀⠀⠀⠀⡆⠀⡀⢦⠈⠀⠀⠀⠀⠀⠀⠀⣄⠻⠘⠀⠀⠀⠀⡇⠁⠛⠙⠀⡀⣇⡟⢀⠀⠀⠀⣾⠙⠀⡀⣷⣿⣿⢻⠈⣧⠸ ⠀⠀⠀⠀⠀⠀⢱⠀⠀⡀⠣⠈⠀⠀⠀⠀⠀⠁⡞⣿⠘⠀⠀⠀⠸⡆⣷⣾⢠⠀⡄⣿⠀⠀⠀⠀⣼⡀⢦⠒⣤⣿⣆⢿⢢⡆⢻ ⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⢄⠙⠀⠀⠀⠋⡠⠞⣀⢱⠀⠀⡏⠉⠀⠀⠀⠀⠀⡇⣿⠀⠀⠁⠀⢸⠂⠀⠀⡀⣷⠘⢣⠘⠀⣷ ⠀⠀⠀⠀⠀⠀⠀⢧⠈⠀⠀⠀⡀⠻⠚⡤⢊⡤⠀⠀⠀⠀⠎⢀⡀⢤⠤⠑⠀⠀⡀⣄⠀⠀⡀⢳⢺⠑⠈⠀⠀⡄⢹⡆⢁⢸⡏ ⠀⠀⠀⠀⠀⠀⠀⡀⣻⢉⠭⠭⡩⡖⣶⣈⠀⠀⠀⠀⠀⠎⣧⣈⣀⠂⠭⣉⣄⠢⠙⠀⠀⠀⠀⠀⢸⠀⡀⠢⠈⠀⣿⠀⡏⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠱⠈⠀⠉⠀⠋⡴⠤⠓⠛⠟⡠⠏⣾⣤⡠⣀⣀⣀⢁⠬⡦⢿⠙⠀⠁⠏⢠⠀⠀⠀⣄⠹⣿⡇⠈⠃⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣠⣀⡄⠘⠀⡀⣿⢀⣎⣽⠀⠀⠉⠛⠀⠀⠉⣈⠠⠁⣾⣷⣤⣤⢶⠙⠀⠀⠀⡄⣿⡜⢫⣼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⣧⠋⢁⡾⣠⢀⣏⢾⡤⢀⠀⠛⣜⢹⠀⠀⠀⠀⠉⡉⢻⠀⠀⠀⣿⢠⡿⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠑⡄⣿⣿⢾⠤⠤⣮⠀⡆⢬⠤⣦⢶⣷⠶⠸⠀⠀⡀⣦⣿⠀⠀⠁⢰⠛⢰⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⣿⣿⠳⠋⡴⢀⠀⠀⢦⠉⠀⠁⣰⠀⠀⠀⠇⠒⠓⣏⠸⠀⡏⠞⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢀⡏⠈⠀⠀⠀⠀⠀⠀⣀⣀⢀⠀⠀⠃⣳⣄⠢⠙⠀⠀⠄⣠⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢀⠀⢸⢆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠁⠜⢠⡀⠸⠀⡀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠁⢻⡴⣄⢦⠛⠙⠉⠉⠉⠉⠛⠀⢣⠀⠁⢠⠀⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⡟⣡⠊⠔⣠⠀⠀⠉⠉⠀⠀⠀⢆⠑⢦⡿⠈⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠻⣾⣠⠀⠀⠁⠗⣀⠀⠀⣄⠳⠀⠀⠀⢄⣗⢹⠁⠟⡰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠙⠀⠁⠋⡟⠀⠀⠀⠀⠀⣀⣤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠃⣿⣿⠀⠀⠀⡿⢧⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣼⣯⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢻⣿⣿⣿⠀⠀⡟⣼⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠻⠈⠉⠀⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⠀⠏⣿⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠻⠀⠀⠀⠀⠀⡇⡀⢿⡀⢹⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠉⣍⣿⠙⣿⢸⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⣆⠙⠉⠉⠉⠈⡀⢸⣇⢿⣧⣿⠀⠀⠋⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⣿⣿⢀⡟⣿⣿⣿⣿⣿⣇⣿⣇⢠⠀⠀⠀⠁⠉⠒⠒⠴⠤⠤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣧⠸⢹⡿⣿⣿⢰⠀⠋⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⡼⣠⣿⣿⢸⠏⣿⣿⣿⣿⣿⢹⣿⣾⡟⠀⠁⠚⡤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣽⣿⣿⣿⠁⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠟⣴⣀⣀⣯⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⢻⢻⡾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⠤⠲⠙⠀⠀⠀⠀⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠞⣤⢉⠙⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣨⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠛⠿⣿⣴⣷⠟⣿⢿⡘⢷⠈⠀⠀⣿⣾⣨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⣿⣴⢦⡴⢋⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⢣⠙⠘⠀⠀⠀⠀⠀⡀⣧⣀⣷⣿⣿⠊⠀⡄⢢⡒⣷⡇⢸⠀⡇⣷⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀ ⢠⠀⠋⡿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⠤⠀⠀⠉⠉⠚⠀⡀⢷⡈⣦⣿⢿⠙⠀⠐⠉⡇⣼⠀⠃⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⣧⣟⢿⣷⢥⠚⠴⣠⣀⢀⠀⠀⠀⠀⣄⠳⡈⣄⣶⣿⠿⡿⣾⠀⠃⣸⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠀⠀⠏⣷⣿⡟⡗⢏⠘⠀⡀⢀⠀⠀⠀⠀⠀⠀⣀⢦⠲⠙⣯⣾⢀⠁⡾⠀⠀⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠃⣿⢿⠙⣷⡞⣿⣿⡼⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢀⠀⡇⢰⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠘⠀⣹⢤⡒⣽⣭⣯⣾⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣇⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢤⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⢸⠀⡇⠘⠁⠋⣖⣠⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠢⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⡄⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠄⣤⠤⡤⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⡟⣿⣟⠿⠼⢶⢨⠀⠀⠀⠇⠷⠐⠀⡏⢹⠀⠀⠀⡇⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣸⣷⣾⢰⢿⠏⣛⢝⠉⠀⠀⡄⡦⢀⠏⢡⡟⠹⠀⠀⠀⣦⣿⣿⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣿⢰⡀⢦⢹⣿⣄⣾⣼⣼⢧⠀⠤⠀⠏⢡⡿⣿⣿⢻⠈⠀⠀⣦⣿⣿⣿⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⡆⢸⣏⠸⠀⠁⣟⣿⢹⣹⢸⢰⡇⠷⠉⡿⢫⣿⣿⣿⣿⣿⣿⠻⠉⠀⣄⣷⣿⣿⣿⠻⠉⠀⠀⠀⠀⠀⠀ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠉⠈⠀⣄⢳⠙⠀⠀⢧⣷⢻⠈⡇⢘⡇⣿⣿⢿⠏⡄⠁⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠙⡉⣟⣿⣿⣿⣿⢿⠛⠉⠀⠀⠀ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀⣀⣄⢶⠻⡈⢤⠳⡈⡧⣿⣿⠻⣎⠲⠚⡴⣿⡿⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠈⣿⣿⣻⣯⣷⣿⣿⣿⣿⣶⣶⣤⠀ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⠙⠈⠀⡀⣤⣷⣿⢿⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⢸⣿⣿⣿⣿⣿⢿⡶⣶⠶⠲⠒⠖⠐ ⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠉⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣩⠁⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠁⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡜⢀⡿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣉⠛⡿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⠙⠉⠈⠁⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣷⣿⣿⣿⣼⠀⠀⠀⠀⠀⠁⠉⠋ ⠀⠀⠀⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⢏⣿⣿⣿⣿⣿⣿⣿⣿⢛⠚⠖⡶⣤⣤⣀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣦⣷⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠙⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠙⠉⠉⠚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⣿⠚⣁⢫⠉⢿⡱⣈⣶⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⡿⣿⢞⣤⣦⣷⣿⢰⣦⠷⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣿⣰⠀⠀⠀⣸⡀⢤⢶⠙⣏⣹⣎⣷⣿⣿⣿⣿⢿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠋⠟⡿⣿⣿⣾⣠⠋⠔⠤⠤⠢⠙⠈⠀⠀⣀⣤⢶⡙⣦⣿⣿⣿⣿⢻⠀⠀⠀ ⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⣿⣠⠀⠃⢠⠁⠟⠩⠀⠉⡏⠻⠈⠀⠀⠀⡠⢦⣿⣿⣿⣿⣿⠺⠉⠀ ⠀⠀⠀⡇⣿⣿⣿⣿⣿⣾⣠⠀⠀⡟⠛⣿⣭⣊⣒⣄⣤⣀⣄⠀⠀⠀⠀⠀⡏⣿⣿⣿⣿⠈⠀⠀ ⠀⠀⠁⣿⣿⣿⣿⣿⣾⢀⠋⠈⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠛⠿⡿⣿⣿⣿⣿⣿⢻⠀⠀ ⠀⠀⡏⣿⣿⣿⣿⣻⠒⠈⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢼⠀⡶⣶⣾⣤⣾⣤⣤⢀⣿⡿⣿⠀⠀ ⠀⠏⣿⣿⣿⣾⣿⣿⣻⣉⣉⢖⠶⠒⠈⠀⠀⠀⠁⠋⠑⢫⠟⠽⠺⡔⣤⣋⠏⠿⠻⣟⣿⣰⠀⠀ ⠀⣿⣿⣿⣿⠀⣆⣿⣿⣿⠻⠛⠌⠦⣾⢲⠈⠀⣟⢵⡿⣾⣷⢙⠍⠿⣯⣭⢻⡟⡟⣿⣶⣤⠦⠴ ⠃⣧⣿⣿⣸⠀⠀⡏⣶⣿⣿⣿⢿⠝⢉⠛⠒⡠⠀⣠⠀⠀⡀⠰⠀⡀⣀⣀⣀⣠⢀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⢹⠀⡜⣸⠉⣾⣷⢶⣎⣶⢸⢸⠁⠟⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡇⣿⠘⢀⠯⣿⢉⡀⢄⡠⣏⡿⢾⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⣿⣿⡞⣷⣶⣿⣿⣿⣿⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡆⣬⣿⢸⡀⣤⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢢⡀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠤⠤⠤⠤⠤⠤⠤⡦⢸⠀⠀⠀⠀⠀⡀⣻⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⣋⣼⢀⠀⠀⠀⠀⠋⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⣇⠈⠦⠑⠀⡀⢢⠘⣀⠀⣽⣾⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⡞⠲⡗⠹⠀⠀⠀⠀⠀⠀⢹⠀⡄⠿⠀⠀⢀⠀⣀⣇⢀⠀⠀⠀⠀⠀⡏⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⢠⠀⠀⡀⢳⠈⠀⠀⠀⠀⣧⠘⠈⣆⠈⠁⠊⠀⠀⡿⠀⠀⠀⠀⠀⠏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⢤⠳⠀⠀⠀⣇⠙⠉⠈⠀⡧⣷⢸⠀⢀⢀⠀⠀⡏⣸⠀⠀⠀⠃⡿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠤⠀⠀⡆⠀⠀⠇⣴⣀⠀⠀⠀⡇⡇⢸⠀⠀⠀⠀⠟⣰⢀⠀⠀⠀⠏⢫⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣰⠀⠀⠀⠀⠀⡿⡌⢸⠀⠀⠁⡜⢀⠀⠀⠀⠀⠇⢿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⡞⢠⠀⠀⠀⠀⠀⠁⣿⣀⣇⠉⠞⣠⠀⠀⠀⠀⠀⠀⡇⣇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⡰⠀⠀⠀⠀⠀⠀⠀⡇⣇⠁⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⢠⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠇⢯⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⣇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⢸⠀⠀⠀⠀⠀⠀⠃⠉⠟⣻⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣧⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠀⣽⣱⣳⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣰⡇⠘⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠸⠀⠀⠀⠀⠀⠃⣾⣷⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣴⠀⠀⢳⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⡇⢹⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣶⠬⠶⠑⡌⠸⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⡀⣯⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⣀⣧⠈⠀⡀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢯⠖⡤⣠⣀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⢀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⡰⢀⠀⠀⠀⠁⡚⢤⠳⠙⠉⠉⠉⠋⠚⠶⣲⠙⠈⠀⠀⠀⠀⠀⠀⣇⠈⠀⠀⣇⢼⠧⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠏⢸⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠻⠈⠀⠀⠀⡄⢹⠀⠀⠀⢧⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣄⠲⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢿⠈⠁⠀⠀⣧⠀⠀⠀⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢤⠢⠒⠙⠈⠀⠀⠀⠀⠀⣆⡟⡞⠀⠀⡇⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠲⠈⠀⠀⠀⡀⣦⠻⠈⡀⠀⠀⠀⠀⠀⢻⠞⠻⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠢⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⠀⠀⠀⠀⠀⣀⠦⠺⠓⠉⠉⠋⢠⠀⣇⠀⠋⠟⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢥⠿⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠉⠀⠀⠀⠀⠊⠴⣧⠀⡀⣇⢉⠀⠀⡤⣀⠀⡄⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠋⣴⣀⠀⠀⠀⠀⠀⣀⣄⢤⠲⠙⠀⠀⠀⠀⠀⣾⠀⠀⠃⡵⠉⠋⣴⠀⠀⠀⡀⣀⢤⠳⠈⠀⠀⢺⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢇⠘⠀⠀⡇⢠⠀⠃⣸⠃⣸⣇⠴⣧⢰⠁⠋⠉⠞⠶⣷⠸⠃⢰⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⠋⠴⣠⠀⠀⠀⠀⡏⢰⠀⠀⡟⠀⠀⠀⢹⡀⠘⠀⠀⡾⡤⣤⣤⢤⢣⠀⠀⢇⣘⣧⢿⠰ ⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⣿⢈⠀⠀⠀⠁⠉⡶⢀⠀⠀⡏⢰⠀⠀⠁⡟⠉⢾⠑⠊⢿⠽⣩⠿⠋⠴⠦⠓⡏⢽⡼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠘⠀⠀⡀⣀⣀⣀⣀⣀⢀⠀⠀⠁⡞⢠⠀⠀⠀⡆⣾⣿⢀⠀⣀⢤⡢⣓⣼⢀⠀⠀⠑⣋⣴⣄⠧⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠲⠑⠉⠉⠉⠉⠉⠉⠒⠴⣀⠀⠀⠀⠀⠀⠀⠀⡄⠦⠑⠉⠀⠀⠀⣧⢺⡑⣯⣷⠳⠈⠀⡇⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⠓⠈⠀⢸⠀⣀⢦⢸⢧⠘⡏⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠓⢸⠀⠀⠀⠀⠀⣶⢤⠀

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⠀⠀⠀⠀⠀⠀⠀⢒⠁⠀⠀⠀⢆⠸⠀⠀⡀⢄⠓⠒⠒⠁⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⠀⠂⠡⠤⡤⠙⠀⠀⠀⢠⠀⠀⠀⠀⡀⠡⠄⠐⡀⠣⠃⠑⠀⠀ ⡇⣀⠄⠠⠀⣀⣀⣀⠠⡀⠑⠀⠀⡄⠈⠀⠀⠀⠀⡀⠸⠀⠀⠀⢇⠸⢆⠀ ⠃⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠞⠲⢿⠘⠈⠀⠀⠃⢠⠀⠀⠀⠀⢸⠀⢸ ⡇⢰⠢⠀⠀⠀⠀⠀⠀⠀⡰⣰⢀⠀⡄⠥⢑⢁⠚⢺⠀⠀⠌⠀⠀⢰⠀⠘ ⡀⠑⠀⢀⠀⠀⠀⠀⠁⠔⣃⠈⢀⠀⠀⠃⢧⣹⣄⢸⠀⡠⠀⠀⠀⠀⠁⢠ ⠀⡀⠮⠐⠈⠀⠀⠁⢂⠤⣦⢻⠈⠀⠈⡅⡸⣧⢧⡘⠱⠀⠀⠀⠀⠁⠠⠀ ⠀⡏⠠⣀⣀⠄⠑⡀⠵⢼⡆⠈⠀⣣⠀⠀⢇⠀⣿⣠⡜⠀⠀⠀⠂⠠⠀⠀ ⠀⢀⠀⠀⠀⠀⠀⢆⠈⠀⠀⡒⠢⠘⠒⠈⠀⠃⣤⡠⠀⠀⠀⠔⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠈⠈⠊⢵⡤⢢⡗⢩⠜⠴⠘⡠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠴⠀⠁⢼⣧⣧⠰⠲⠄⠀⠁⢏⢸⠀⡇⠀⠀⣴⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣶⣧⢀⣟⠿⠺⠠⡗⣬⣿⢰⠀⡆⠚⠁⠥⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⡀⢤⠖⢊⠐⠉⡌⢇⣰⠀⠄⣋⢠⡀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠈⠕⣌⢤⡱⠈⡀⠉⠛⡩⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡄⣠⡄⣤⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀