GARY Emojis & Text

Copy & Paste GARY Emojis & Symbols ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠶⠛⠛⠛⠛⠛⠛⠓⠲⠶⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠶⠛⠛⠛⠛⠛⠛⠓⠲⠶⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠞⠉⠀⠀⠀⠀⢀⡠⠤⠤⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣹⣆⣀⣀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⠤⢤⣀⠀⠀ ⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠈⠒⠤⠄⠠⠤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠈⠙⢦⡀⠀⢀⡴⠋⠀⠀⠀⡀⢀⠈⠳⡄ ⠀⢠⡏⠀⠀⠀⠀⡎⣀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠒⠠⡀⠀⠀⡾⠀⠔⣈⣁⢢⠀⠀⠀⠈⣧⠀⢸⠀⠀⠀⠀⡌⣴⣶⠙⠄⢻ ⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣀⡀⠀⠀⠀⠀⠀⠈⠒⠐⠁⠀⠀⣇⠀⠄⠻⠟⢠⠀⠀⠀⠀⡿⠀⢸⡀⠀⠀⠀⠱⢌⡉⠜⠀⡼ ⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠉⠉⠁⠀⠀⢀⡼⠁⠀⠀⠳⣄⡀⠀⠀⠀⠀⣠⠾⠁ ⢸⠃⠀⠀⠀⣀⡀⠀⠀⢰⠁⡠⠊⠉⠈⠑⢦⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠶⣶⠖⢺⡏⣇⠀⠀⠀⠀⠀⣿⠓⢒⡞⠉⠁⠀⠀ ⢸⡄⠀⢠⠊⣀⠇⠀⠀⠈⠀⠃⠀⠀⠀⠀⠀⠑⡄⠈⢂⠀⠀⠀⠠⡤⡀⠀⠀⠀⠀⠀⢹⡆⢸⡇⡿⠀⠀⠀⠀⠀⣿⠀⣸⠁⠀⠀⠀⠀ ⢸⡇⠀⠀⠁⠀⠀⠀⠀⢠⠀⡄⠀⠀⠰⣄⠀⠀⠘⡄⠀⠆⠀⠀⠘⠤⣈⠆⠀⠀⠀⠀⠈⣇⠘⡇⡇⠀⠀⠀⠀⠀⡇⢀⡟⠀⠀⠀⠀⠀ ⠘⣷⠀⠀⠀⠀⠀⠀⠀⠈⡄⠑⢄⠀⢀⠏⡆⠀⠀⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⣿⠃⠀⠀⠀⠀⠀⡇⢸⠃⠀⠀⠀⠀⠀ ⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠘⢄⡀⠀⣀⠴⠁⠀⠀⢨⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⢹⠀⠀⠀⠀⠀⢸⠁⡟⠀⠀⠀⠀⠀⠀ ⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡄⠀⠀⠀⠀⢸⢀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⡇⠸⡇⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⣷⠀⡇⠀⠀⠀⢠⠃⡎⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⢹⠀⣧⠀⠀⠀⡼⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠿⢧⡄⠀⢸⠀⣿⠀⠀⢠⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣸⠗⡀⠀⠀⠀⠀⠀⠀⡰⠁⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠾⠿⠶⣾⠀⢸⣀⠀⡞⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣧⣀⠉⠉⠀⠀⠀⠀⡔⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠛⠉⠀⠀⠀⠀⡿⠀⠘⠏⠛⠷⣄⣧⣤⠤⢤⡄⠀⠀⠀⠀ ⢀⣠⡴⠞⠏⢀⣉⠙⠓⠲⠦⠤⢾⣤⣤⣴⣤⣤⣤⣤⡤⠴⠶⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣤⠴⠞⢋⣀⣤⢀⡿⠀⠀⠀⠀ ⢿⣥⣀⣀⣤⣤⣀⠀⠈⠉⠁⠐⠒⠒⠒⠠⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠤⢀⠐⠚⠿⠥⠤⠇⢸⠁⠀⠀⠀⠀ ⠀⠈⠉⠉⠉⠉⠉⠙⠲⠶⠿⠛⠛⠙⠒⠦⣤⣤⣤⣤⡴⠶⠶⠶⠦⣤⣤⣤⣤⣴⠶⠶⠦⣤⣤⣤⣤⣶⠿⠶⠲⠶⠶⠶⠟⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⣶⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⢀⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⢄⠀⠀⠀⢠⠎⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡠⠀⡴⡡⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡎⠉⡩⠃⠈⠕⢦⡀⠀⠀⠀⠀⡉⠀⢉⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⡉⠘⠻⣤⠔⠊⠀⢀⠋⢆⠀⢀⣾⡏⠈⢺⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢿⠇⠞⠉⠀⢹⣄⡠⠖⠁⣠⣾⠟⡱⣻⠂⠀⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣳⢴⠋⠢⡄⠘⠁⣠⣴⠞⠛⠁⢈⡽⠁⠀⣠⠃⠀⠀⠀⠀ ⠀⣀⢠⣀⡂⠉⠿⣀⡆⠀⠸⣬⢿⠋⣁⣀⣈⡴⠋⠀⠠⠊⠁⠀⠀⠀⠀⠀ ⠙⠉⠉⠙⠛⠛⠛⠋⠙⠛⠛⠛⠉⠉⠛⠛⠁⠈⠛⠃⠈⠀⠀⠀⠀⠀⠀⠀
▕╮╭┻┻╮╭┻┻╮╭▕╮╲ ▕╯┃╭╮┃┃╭╮┃╰▕╯╭▏ ▕╭┻┻┻┛┗┻┻┛ ╰▏ ▕╰━━━┓┈┈┈╭╮▕╭╮▏ ▕╭╮╰┳┳┳┳╯╰╯▕╰╯▏ ▕╰╯┈┗┛┗┛┈╭╮▕╮┈▏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠿⠛⠓⣌⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠈⢣⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⢰⡄⠀⠈⢷⡸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡔⢷⡖⠀⡀⢳⡘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣹⡶⣷⣄⡗⠀⠙⣾⣷⠤⢤⣤⣤⠴⠶⠶⠦⣄⣀⠤⠖⠒⠲⠦⠤⠴⠒⣿⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⣤⡬⢭⣭⣽⣄⠉⠀⠀⠀⣼⣿⡄⠀⣴⣶⡦⠀⠀⠀⠀⠀⠂⠀⠐⠂⠀⢠⣤⠞⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⠶⠋⠉⠀⠀⢉⣉⡉⠉⠉⠉⠓⣶⣶⣿⠿⢫⣿⠀⢠⣔⠒⠚⠓⠒⣦⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣶⣛⠁⠀⠀⢀⣀⣀⠈⠛⠃⠉⣀⣠⠴⠋⠀⠀⢠⣾⣃⡀⠀⠉⠙⢛⣉⣀⡀⠀⢀⣀⣠⠞⠉⠀⠀⢀⣀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣏⠉⠉⡙⣒⣚⠉⠁⠉⠙⠒⠒⢿⡉⠀⠀⠀⣠⣴⡿⠋⠉⠉⠑⠒⠊⠉⠀⣬⢍⠉⠉⠁⠉⢷⠀⠀⣰⠋⠉⣧⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢦⣄⢀⠒⢺⠇⠀⡀⠀⠀⠀⠘⠫⠭⠭⠭⠗⠋⠀⠀⠀⠀⠀⣠⠖⢿⡋⠉⢹⠛⠢⣄⡀⣸⠀⠀⡇⠀⠀⡾⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢤⡄⠀⠀⠀⠀ ⠀⠀⢀⣼⡉⢀⣸⣤⣤⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡄⣠⣬⠧⠤⠿⣄⡀⠀⠁⢿⠀⠀⠻⠦⠾⠃⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⣱⢀⡇⠀⠀⠀⠀ ⠀⠀⣯⣠⠟⢙⣀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠙⢦⠀⠈⢧⡀⠀⠀⠀⣠⣤⠀⠈⢿⡛⣿⠿⠒⠺⢿⡏⣠⣾⡇⢸⠁⠀⠀⠀⠀ ⠀⠀⢺⢣⣿⣿⣽⣷⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⢀⣾⣿⣽⣷⢸⡇⠀⠀⢹⡀⠀⠀⣿⡿⠀⠀⢸⡿⠁⠀⠀⠀⠀⢹⣿⡿⠀⣼⣶⢾⠟⣷⡀ ⠀⠀⢸⡎⣿⣻⣿⠟⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠈⠷⣿⣿⢟⡼⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⢀⣼⣿⡇⠀⣿⣏⡾⢸⠃⡿ ⠀⠀⠀⠙⠦⣄⣀⣀⣀⡤⠞⠁⣠⠞⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠤⠤⠤⠤⠤⠟⢋⣠⠄⠀⠀⠀⢿⡀⠀⠀⢀⣾⢿⡇⠀⠀⠀⣀⣤⢿⣿⣿⡇⢀⡟⢺⠥⠏⡸⠁ ⠀⠀⠀⠀⠀⠈⢹⣟⠋⣀⡴⠚⠁⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠂⠒⠒⠒⠉⠀⠀⢀⡈⠀⠀⠳⣄⠀⢸⠁⢻⣷⠤⠔⠚⢻⣿⡤⢯⣿⣇⠈⣼⠉⢀⣾⠁⠀ ⠀⠀⠀⠀⠀⠀⣠⠜⠋⠁⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠘⠷⠾⠃⠀⠀⣀⠀⠀⣿⠋⠙⣿⣶⣭⡶⢿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⢿⡀⠀⣀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣶⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⢸⣿⠀⠀⣿⠀⠀⢻⣿⣿⡆⠀⣿⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⢹⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⠿⠿⠟⠛⠁⠀⠀⠀⠀⣀⡠⠤⠠⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⢸⡆⠀⠸⣿⣿⣿⣷⣿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⣴⢿⣿⣿⠿⠛⠋⠀⣀⣀⡠⠤⠤⠚⠃⠀⠀⠺⠤⠄⠀⠀⠀⠀⠀⠀⠀⢻⡀⣀⡀⠀⠀⠀⢸⡀⠀⠀⢻⣿⠿⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⢀⡼⡿⠚⠉⣠⡤⣖⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡖⠒⠆⠀⠉⠉⠹⣄⣠⣤⣄⣧⣤⠖⠊⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡀⠀⠀⢀⡞⠀⠙⠚⠋⠀⠀⠀⠉⠛⢶⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣿⣾⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣷⡞⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢈⡿⠿⣩⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⡿⢃⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡋⣰⣏⠁⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣽⡻⢿⣟⡲⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣶⣿⣦⣤⡀⣀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣟⣻⣷⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠘⠀⣉⣙⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣹⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣽⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠊⠉⠐⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠁⢀⠔⠀⠒⢤⡔⠈⠉⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠀⡇⠀⠀⠂⢀⠂⠀⠂⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠑⠤⠀⠠⠊⠐⠤⠤⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠀⠀⠀⣀⣴⣶⣿⣿⣷⣦⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡌⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠁⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡎⠀⠀⠛⠻⠿⠿⠿⠿⠿⣿⣿⠛⠛⠛⠉⠀⢰⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀ ⢠⠇⠀⠀⠀⣠⠆⠀⠀⠀⠀⢁⣀⡠⢤⣼⣛⣲⣯⣭⣭⣭⠿⣆⠀⠀⠀⠀⠀⠀ ⡎⠀⠀⠀⡰⠃⠀⣀⡤⣖⠪⢿⣶⣿⣿⣿⣿⣿⣿⣿⠿⠟⠀⠘⡄⠀⠀⠀⠀⠀ ⣇⠀⠀⡼⣁⢴⡪⠗⠉⠀⠀⠀⠻⠟⢋⣿⣿⣿⣿⣿⡆⠀⠀⠀⢳⠀⠀⠀⠀⠀ ⠘⢤⣼⣋⠗⠁⠀⠀⠀⠀⠀⠀⠀⣤⣘⣿⣿⡿⣿⣟⣥⠖⠀⠀⢨⣿⣦⣀⠀⠀ ⠀⢸⡗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢿⡿⠟⠋⠁⠀⠀⠀⡼⠁⠀⠈⠑⢆ ⠀⠀⠳⣀⠀⠀⠀⠀⠀⠀⣠⣦⡀⢠⣄⣠⠤⠷⣀⡠⠶⢄⣀⣼⣀⠀⠀⣀⣀⠜ ⠀⠀⠀⠈⠉⠒⠤⠄⣀⣰⣿⣿⣷⣿⡟⠁⠀⠀⠈⠱⡄⠀⠀⠀⠉⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠤⢀⣀⣀⣀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢞⣏⠀⢉⠛⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⠋⢱⣟⠋⠈⢉⡿⠀⠀⠀⠉⠛⠳⠦⢤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠛⠋⠙⠚⠛⠲⠶⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⣼⠃⢀⣠⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⠃⠀⣀⣤⣤⣤⣀⣀⣤⣤⡬⠽⢷⣤⣤⣤⠶⠛⠛⠉⠛⢛⡛⠋⠁⠀⠀⣰⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⠓⠶⠶⠞⠋⠉⠉⠉⠉⠉⠁⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⣴⣋⡝⠀⠀⠀⡼⠃⢸⣯⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢀⡤⠴⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣤⣤⣙⣉⡀⠀⠀⠀⡇⠀⠈⠻⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣇⣀⣼⣄⣤⣄⣼⣷⣀⣀⣀⣀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡇⢀⣀⣀⡀⠻⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢸⠇⠈⣧⠀⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣤⡘⣇⣀⡟⠀⠘⢿⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣀⣿⣿⡟⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⠃⠀⢿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠈⠳⣎⡁⠀⠀⠀⠀⠙⣧ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣄⠀⠀⠈⠻⣿⣿⣿⣿⠏⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⣴⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠙⠿⠯⣀⡀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⢀⣀⠈⢷⡀⡾⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠛⢿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⡿⠟⠋⢉⡇⠀⢀⣀⡀⠀⠀⠸⣾⠀⠈⣷⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠈⠉⠙⡋⠋⢉⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣾⠀⠙⣆⠀⠀⠀⠀⣠⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠀⠀⠀⠀⢀⡾⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠖⢶⡀⠀⠀⣾⠁⠀⢹⡀⢀⣿⠀⠀⠀⢰⡟⡾⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⣠⢤⡄⠈⠓⠚⢿⡛⠓⠦⢤⠤⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⢸⡇⠀⣸⠁⠀⠀⠀⠙⠋⠁⠀⠀⠀⣾⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠷⠞⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢦⡴⠏⠀⠀⣿⠀⠀⠀⠀⠀⢀⠀⠀⠀⣼⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢠⡴⠒⣆⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⡄⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣾⣧⢠⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣸⠀⠀⡏⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⡤⠏⠀⠀⠀⠀⣾⠃⠀⠀⠀⣀⣀⣬⠥⣾⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠞⠚⢉⣿⠀⠀⠳⠶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⡀⠀⠀⢰⡏⠀⠀⢰⡞⠉⠀⠀⣴⠛⠓⠶⠶⠶⣶⣤⣄⠀ ⠀⠀⣠⣼⣇⠀⠀⣸⣿⣄⣀⣀⣀⣀⣀⣠⣤⡤⠦⣤⣤⣤⡴⠞⠿⢿⣶⠶⠖⣾⣿⡽⢿⠼⡍⠉⠙⡿⠻⣦⡀⠈⠳⣤⡀⠀⣿⣲⡿⠛⣷⡿⠫⣰⡿⠀ ⣴⣾⣽⡾⠛⠷⠞⠉⢀⣿⠉⠉⠉⠉⠉⠙⠶⣄⣠⢞⡿⢾⣳⠴⠞⢉⣁⣀⣴⡏⠁⠀⠀⠀⣷⣶⣼⣧⡀⠈⠻⢶⣄⣀⣉⣳⢖⣋⡵⠞⢁⡴⠞⠉⠀⠀ ⠛⢧⣌⡛⠒⠦⣤⣼⠛⣿⣀⣤⣤⣤⣤⣤⡤⡞⢻⣟⠀⠀⣽⣿⣿⣿⡏⠉⣽⣧⡀⠀⠀⣤⣿⣿⣿⣷⣝⠲⣄⣹⣅⣈⡉⠻⠞⠉⣠⡴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠛⠳⢦⡄⢀⣿⣶⣿⣿⣿⠀⠀⣿⣿⣿⣿⣷⣾⡷⠿⠿⣿⠇⡀⢿⣿⣛⣶⣞⣛⣭⡿⣿⡻⢿⣷⣦⣙⢦⣈⣹⠀⠀⢻⡁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠁⣿⣿⠋⠉⢉⣉⣀⣀⣩⣥⡴⠾⠿⠿⠓⠚⠓⠋⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠙⠦⣝⠿⣿⣷⡾⠏⣠⣀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢧⣈⣿⢿⣍⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣄⠀⠀⠀⠀⠀⠀⠻⢾⣟⢀⣠⢏⡟⣸⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠟⠙⠶⣦⡀⣤⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠙⣦⣤⣤⣤⣤⡴⠶⠾⠿⢿⡥⠾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⡇⠀⢸⠒⠒⠚⠛⠛⠛⠛⠋⠉⠉⠉⠉⢷⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⢤⣤⣤⠴⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⣀⣤⣤⠤⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡿⢷⣄⣼⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⣼⣿⡋⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡿⠿⠿⣿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
Thorny people, get out of here. There could be little kids just trying to find cute kaomoji's, then see your horrible stuff. Copy & Paste this, and Submit it to spread the message #bekind #stopthethornys 01/21/2024 >.<
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠶⣤⣄⣠⢤⣄⣤⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣼⣾⠛⠛⠲⣼⣷⡘⠿⢿⡏⣉⡓⠶⢤⣤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⠾⠟⠁⣤⣄⣀⣀⡀⠙⠓⠚⠷⡽⢿⣷⢀⣰⢿⣫⠿⠭⠟⠳⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠦⣀⠈⣿⣶⡦⢤⣬⣉⣁⣛⣋⣀⣀⡀⠀⣶⣶⣌⠉⡿⠉⣽⣤⡀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡈⠻⣿⠛⠃⣸⢻⣿⡗⠀⢸⠀⠉⠁⠀⠈⠛⠋⠀⣧⢸⣿⣿⣿⡄⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡴⠛⠛⠛⠛⠿⠿⣦⣉⣀⣠⡾⠆⠀⠀⠀⠀⠀⠀⠀⣿⠀⠻⣿⡿⠁⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠚⡹⠴⣶⠟⠛⠛⠛⢳⡶⠲⢤⣙⠣⣅⠓⢩⠀⠀⠀⠀⠀⠀⠀⠻⣄⣀⠀⠰⣶⣦⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢧⡈⠳⠤⠿⠤⠤⠤⠤⠚⠓⠒⠒⠚⠳⠬⠳⡀⢠⣤⣄⠀⠀⠀⠀⢠⠏⣏⠉⠙⠻⢿⣁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣙⣶⡖⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠦⢤⠷⠈⠉⠁⠀⠀⠀⠀⠘⣦⠈⣧⡈⠙⠲⢌⡑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⡀⠀⣀⠤⠒⣋⡥⠔⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⢿⣿⡆⠀⠀⡟⠒⢬⡓⢤⡀⠀⠀⠀⠀⠀ ⠀⣀⣈⠉⣤⡖⠋⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⢀⣤⣤⡀⠀⢹⡄⠀⠈⢀⣀⠀⢷⠀⠀⠈⠳⢍⠲⣄⠀⠀⠀ ⠉⠀⠈⠙⡇⢹⠀⠀⠀⠀⠀⠀⠈⣹⣶⠤⠤⢤⣤⣶⣯⣤⣄⣀⣀⣀⣀⠈⠻⡿⠋⠀⢰⠇⠀⢀⣈⣿⡧⣼⠀⠀⠀⠀⡠⠽⡞⠓⠢⢤ ⠀⠀⠀⠀⠻⠾⠀⠀⠀⠀⠀⠀⠰⣏⣭⡀⢰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠉⠉⣩⣍⠉⢻⡏⢉⣅⡀⠀⠀⢸⡄⠀⠀⡞⣰⠊⠉⠳⡄⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⣫⠵⠛⠙⠒⣾⣿⣿⣿⣿⣿⠦⢤⣀⣀⣀⣠⣿⡋⠀⣰⢃⣈⣛⣁⡤⠤⠼⠃⠀⠀⠉⠉⠀⠀⠀⠸⡌ ⠀⠀⠀⣠⣤⠤⠖⠒⠊⠁⡖⠉⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠀⠀⠀⠉⠉⠉⠉⠙⢮⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧ ⠀⠀⠀⢿⡿⠦⠔⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡱⠈⠓⠤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⠤⣄⣀⣨⣿⡷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠶⠒⠛⠋⠉⠉⠉⠉⠉⠉⠙⠓⠲⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⡇⢀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠁⡞⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢰⡃⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⣀⣤⣾⡇⠀⠏⢨⠓⢠⣄⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣀⡀⣿⣋⣥⣤⣤⣝⣦⠀⣼⣿⣿⣯⣟⣶⡀⡾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠒⠃⢧⣀⡘⠛⣋⣴⠇⠀⠘⢯⡈⠻⢟⡻⠿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⢉⣩⠽⠋⠀⠀⠀⢈⡿⠭⡍⠀⠀⠘⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⢸⠃⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⡬⠷⣤⣀⠀⠀⠀⠀⠀⢠⡞⣁⠀⠀⠀⢸⣷⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⡇⠈⠉⠙⡆⠀⢠⠟⠖⠿⢷⡀⠀⣠⢿⡀⢸⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⡇⠀⠀⠀⡇⠀⡞⠀⠀⢀⣠⣍⣩⣅⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⠏⠀⠀⠀⡇⠀⠀⠀⠀⠰⠇⢀⣴⣛⣡⣏⣱⣏⡇⠁⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠶⠒⠛⣻⠟⠉⣱⠏⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠘⢧⣀⠀⣀⡼⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⡴⠞⠛⠉⠀⠀⠀⠀⢰⠏⠀⠀⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠭⠭⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⠾⠟⠁⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⢤⡀⠀⠈⠙⡆⠀⠀⠀⠀⠀⠀⠀ ⡾⠛⣁⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⣷⣄⠀⠀⠀⠀⠀⠀ ⠚⠛⠉⠉⠉⠙⠛⠶⢦⣀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⢤⣀⣀⠀⢀⣀⣤⢷⠶⠚⠋⠁⠹⡗⢦⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠹⣄⠀⡴⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠉⠉⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠆⠀⠀⠙⢦⣙⣣⢇⠤⡄⠀⠀⠀⠀⠀⠀⠀⠈⠉⣁⠀⠀⠀⢀⡼⣣⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣆
⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⢀⣤⠶⠒⠚⠛⠒⠲⢦⣄⠀⠀⠀⠀⠀⠀ ⣤⡄⠀⠛⡿⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀ ⠙⢻⡀⠀⣧⠀⠀⠀⠀⢰⡇⠀⠀⠀⣠⡴⠞⠛⠓⢶⣄⠀⠸⣆⠀⠀⠀ ⠀⠈⢳⠶⠛⠛⠶⣄⠀⠸⡇⠀⢀⡾⠁⢀⡴⠶⢶⡄⠙⣧⠀⢻⠀⠀⠀ ⠀⠀⣟⠀⠀⠀⠀⠹⣦⡤⠿⠀⢸⡇⢠⡟⢀⡾⠀⣿⠀⣿⠀⣼⠁⠀⠀ ⠀⠀⢻⡀⠀⠀⠀⠀⠻⣄⠀⠀⠸⣇⠀⢷⡀⠛⠛⢁⣴⠃⣠⠏⠀⠀⠀ ⠀⠀⠀⠻⣆⠀⠀⠀⠀⠈⠳⢦⣄⣙⣷⣄⣉⠛⠛⣋⣠⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⢦⣄⡀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠓⠒⠶⠞⣻⠂ ⠀⠀⠀⠀⠀⠀⠘⢧⣤⡤⠖⠓⠶⠤⠶⠒⠶⠴⠞⠛⠶⠞⠛⠛⠛⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⠖⠛⠉⠉⠛⠀⠀⠀⠸⠉⠛⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠔⠋⡀⠀⠀⠐⠟⠂⠀⠀⠚⠃⠀⠀⢦⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠞⠃⠀⠚⠃⢀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⠏⢀⡄⠀⡠⠊⠁⣀⣀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠉⠀⠈⢁⠔⠋⠁⢀⣀⣤⠤⠴⠶⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⣠⡀⠀⠰⠃⢀⣴⣚⣉⡴⠋⠙⠓⢦⡀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⡤⠤⢦ ⣇⠉⠀⠀⠀⡴⡿⠋⠉⠹⡇⠀⠀⠀⠀⣿⣤⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⡼ ⠹⡄⠀⠀⠘⢱⡇⠀⠀⣀⣿⡷⢺⣯⠉⠉⢹⡀⠐⣾⣅⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⢀⣀⡀⣠⠞⠁ ⠀⠙⢦⣀⠀⠀⣷⠿⣾⡅⠀⢧⠈⢿⣧⡀⠈⡇⠐⠊⣉⣁⣈⣙⣦⠀⠀⠀⠀⠀⢀⣀⡠⠴⠚⢩⠀⠀⠀⠀⠀⢀⣤⣤⣿⠿⠛⠁⠀⠀ ⠀⠀⠀⠈⠉⠙⠻⡄⠹⣿⣄⡼⠱⢄⣙⣁⣜⣡⠔⠋⠉⠀⠀⠈⠉⠙⠓⠲⢶⠚⠉⠁⠀⢀⣀⡬⠴⠒⠋⠙⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⣦⣌⣻⡇⠀⠀⣹⠾⠻⣀⣤⣀⡀⠀⣤⣄⡀⢀⣀⣠⡾⠶⠒⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⣸⣀⡤⠊⠁⠀⡴⣟⢿⡟⠛⠶⠿⠿⠖⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠔⣩⠜⠁⠀⠀⡠⠊⠀⠘⣎⣧⠀⣀⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢲⠞⠁⠀⠀⡠⠊⠀⠀⠀⠀⡿⠉⠈⠻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⢃⠀⠀⢀⠜⠓⠤⣄⣀⣤⠞⠁⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠷⣶⣾⣥⠤⠶⠚⠉⠀⢿⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⣀⣠⣤⣤⣀⣀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⠁⠀⠀⠀⠀⠉⠙⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⡏⢀⣼⣿⣖⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢣⣼⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣾⠈⠻⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣿⢸⡏⠁⠈⠳⡜⣧⡀⠀⠀⠀⠀⠀⠀⣴⠟⢠⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠙⢦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⣽⠘⣧⠰⣆⠀⠹⡼⣧⡀⠀⠀⠀⢀⡾⢁⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠈⠧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⣿⠀⢻⣧⡻⣏⢀⠹⣜⢿⣆⠀⣰⠟⣡⡞⠁⠀⢀⣀⣀⡀⢀⣀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⢀⡿⢛⣲⣛⣿⡛⠛⠀⠈⣿⡏⠛⣿⣛⠉⠉⠙⠛⣯⣥⡌⠙⢋⣩⠟⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡶⠒⠋⠀⠙⣛⠛⠋⠙⢶⣶⣾⠿⣿⠀⣩⣴⠖⠲⣤⡀⠀⠀⠀⣰⠏⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢾⣋⣀⣀⣠⣤⣈⠉⢉⣠⡴⠛⠉⢀⣼⣯⣀⣈⣉⣩⠭⣅⣀⣠⢤⡞⠉⠀⣀⣤⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⢩⣥⠀⠀⠈⠉⠹⣧⣤⣤⣶⡿⠋⠀⠀⠈⣁⣠⡴⢦⣄⡀⠀⢹⠀⢰⠋⠈⡇⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣹⣶⢂⣿⣀⣶⡀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⣾⢁⣸⣦⣼⣆⠉⠀⢸⠀⠸⣧⡼⠃⠰⣇⠀⠀⠀⠀⠀⢀⣴⢞⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣼⣋⣁⡀⠈⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⣤⠞⠉⠀⠀⣀⣈⠻⡄⠘⢧⡀⠀⠀⣤⡄⠙⣿⣶⠖⠒⠿⣟⣵⡟⢸⣿⣿⣿⡟⠛⠛⠋⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⣿⣿⡇⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣿⣿⣧⡿⠀⠀⣷⠀⠀⠿⠃⠀⡿⠃⠀⠀⠀⢹⣿⡇⢸⣿⡟⡽⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣮⡛⠋⠁⢀⡴⠏⣠⢀⡄⠀⠀⠀⠀⠀⡜⢦⣀⣀⣈⣙⡿⠟⣁⠀⠀⢻⡀⠀⠀⣠⣾⠃⠀⠀⢀⣴⣿⣿⠀⡿⢿⣷⢃⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⣋⡤⠞⠁⣼⠁⠀⠀⠀⠀⠀⠀⠀⠛⠪⠤⠴⠒⠋⠁⢀⠀⠈⠳⣄⢠⣟⢻⡦⠤⠞⢿⣿⣿⣿⡀⢷⠋⣠⣾⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠋⠁⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠛⠛⠁⢀⣤⠀⢸⠋⢹⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣤⣤⠖⠋⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⠖⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⡀⠀⠘⠟⠀⠸⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⣴⣿⣿⠿⠛⠉⢉⣀⣤⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠰⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣟⣛⠛⢻⡆⠀⠀⠀⣠⣿⠛⣉⣤⣖⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠦⠤⣤⣧⣴⣾⣛⣛⣻⣛⣛⣛⣛⣛⣿⣿ ⣀⠀⠀⠀⠀⠀⠀⠴⠒⠒⠒⠂⠀⠈⠉⠉⠁⠁⠀⠈⢻⡀⠀⢰⡏⠙⠋⠉⠉⠉⢻⣷⣦⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣴⣶⣾⣿⣿⠿⠍⠁⠀⢀⠀⠀⢈⣉⣉⣀⣤⠀ ⠀⠄⠀⠠⠤⠤⠤⠤⠤⠶⠦⠤⠴⠶⠶⠲⠶⠆⠀⠀⠘⠻⣦⡿⠗⠀⠀⠀⠀⠀⢺⣿⢟⣿⣿⣿⡿⠿⠿⠿⠿⠛⠛⠉⠹⢿⣿⢻⣿⣿⣿⣧⡤⠠⠤⠤⠤⠄⠀⠀⠀⠀⠀⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣰⣋⣵⣏⣹⣿⡭⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣾⡉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣦⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⢰⡟⠈⠁⣰⣿⡗⠀ ⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⢸⡇⠀⢠⡟⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⠟⠋⣉⣉⣉⠙⠻⣿⣿⣿⣷⡀⠀⠀⢸⡇⠀⢸⠃⠀⠀⠀ ⠀⠀⢀⣿⣿⣿⣿⡇⢠⣿⣿⣿⢿⣿⣆⠘⣿⣿⣿⣷⡀⠀⢸⣧⠀⢸⡇⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⡇⠸⣿⣿⣿⠆⣿⣿⡄⢸⣿⣿⣿⣧⠀⣼⣿⣿⣿⣇⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣦⣈⣉⣁⣴⣿⣿⠁⣼⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣰⣿⣿⣿⣿⡿⠀⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⠿⣿⣿⣿⠿⠟⠋⠀⠾⢿⣿⣿⠿⠟⢁⣼⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣶⣿⣷⣦⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⢀⣤⡀⠀⣿⣿⠆ ⠀⠀⠀⢀⣴⣿⣿⣿⡿⠿⠿⠿⣿⣿⣷⣦⡀⠀⠀⢸⡿⠇⠀⣿⠁⠀ ⠀⢀⣴⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣦⠀⢸⣧⣴⣶⣿⡀⠀ ⠀⣾⣿⡟⠁⠀⢀⣤⣴⣶⣦⣤⡀⠀⠀⠘⣿⣿⣦⣿⣿⣿⣿⣿⣿⡄ ⢸⣿⣿⠁⠀⢠⣿⣿⠟⠛⠻⣿⣿⣆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⢸⣿⣿⠀⠀⢸⣿⣿⣤⠀⠀⢸⣿⣿⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠋⠀ ⠀⣿⣿⣧⠀⠀⠛⠿⠿⠀⠀⢸⣿⣿⠃⠀⣼⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠘⣿⣿⣷⣄⡀⠀⠀⢀⣠⣾⣿⠏⣠⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⢀⣀⣈⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀ ⠐⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡾⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠀ ⠀⠀⠀⠀⢰⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡶⠿⠋⠁⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠈⣷⠀⠀ ⠀⠀⠀⣴⡾⠋⠁⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠐⠒⠒⠛⠛⠛⠻⣿⣿⠏⠀⠀⣀⡀⢀⣠⣶⠿⣿⣿⣿⣿⣿⣏⣉⣻⣿⣶⣤⣀⠛⣧⠀ ⠀⠀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣤⣶⠟⢡⣴⢟⣹⣿⠾⠟⠛⠉⠉⠉⠉⠉⠉⣉⣉⣉⠛⢿⣿⠀ ⠀⣼⡟⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣶⣶⣶⡶⣦⣤⣤⣄⡈⠙⠶⣿⣅⣴⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⡿⠋⠀ ⢀⣿⠁⣠⡤⠀⣠⡴⠞⢋⣉⣠⣼⣷⠼⠿⠿⠿⠷⠿⠶⠤⠼⣿⣷⣦⣌⣿⣿⣤⣴⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀ ⠈⣿⡿⢋⣴⣿⣭⡶⠟⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣍⣿⡏⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⠁⠀⠀⠀⠀ ⢰⡟⣠⡿⠟⠉⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡿⠛⣧⠀⠀⠀⠈⠻⣦⣀⣀⣀⣠⣤⣴⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣯⣤⣶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⢹⣷⠀⠀⠀⠀⠉⢿⣟⠻⣯⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠉⠻⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⠏⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠈⢻⣧⡀⠙⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠶⠶⠶⠶⠶⠶⠶⠛⠛⢩⣿⠏⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠈⠙⠻⢶⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⠄⠀⠀⠀⠀⡤⣠⡿⠃⠀⠀⢀⡠⠒⣠⣶⡾⣿⡄⠀⠀⠀⠀⠈⠆⠻⣿⠻⣶⣄⡀⠀⠉⠻⢷⣤⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⠀⣨⣴⠿⠋⠁⠀⢻⣷⡄⠀⠀⠀⠀⠀⠀⢿⡆⣿⣿⣿⣷⣤⣀⠀⠙⢿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⣀⣼⣿⣿⠀⠀⠀⠀⠘⣿⡇⠁⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⣠⣾⣿⡿⣿⣿⡀⠀⠀⠀⢀⣽⣇⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠁⠀⣠⣾⣿⠟⣽⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣯⣽⣿⣽⣿⣿⣿⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⢀⣤⣾⣿⡋⣡⢶⣷⢸⣧⣿⣧⡿⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⠟⣿⣿⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣶⣿⣿⠟⠋⠙⠛⠛⠛⢷⡟⠈⢀⣀⣀⣀⣬⣿⣿⠿⢷⣦⣀⣀⣀⣤⡿⠋⠀⢸⣿⣶⠟⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣤⣤⣴⣶⣶⡶⠶⣿⡟⠛⠛⠋⠙⣿⡇⠀⠀⠀⠀⠈⠛⣿⠛⠉⠀⣠⣴⡿⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠷⣶⣤⣤⣀⣹⣇⣀⣀⣀⣀⣀⣀⣿⣶⡾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠃⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⢀⣴⡾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⡴⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠾⠟⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠶⠶⠶⠞⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣤⢤⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⡿⠀⠀⢹⡞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠗⠒⠉⠛⠓⣄⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠀⠀⠀⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⣀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡟⣶⠦⣤⠐⣶⣺⡏⡿⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀ ⡤⡄⠀⠀⠈⡟⠽⠿⠻⠒⢬⠻⠟⠁⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠉⠉⠑⢤⠀⠀⠘⡀⠀⠀⠀ ⣇⠘⡄⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡆⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⣠⠀⠀⢧⠀⠀⢧⠀⠀⠀ ⠘⣄⠘⢄⠀⢸⠀⠀⠀⠀⠀⣇⠰⣗⠊⠓⢤⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⢸⠁⠀⠀⡼⠀⠀⢸⡇⠀⠀ ⠀⠈⠒⠤⣉⣹⠀⠀⠀⠀⠀⢻⠀⡿⢻⡄⠀⠑⡄⠀⠀⠀⠀⠸⡀⠀⠀⠈⠓⠤⠚⠁⠀⠀⡞⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣞⢰⠃⠀⢳⠀⠀⠙⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠘⠞⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⢀⣀⣀⠠⠤⠚⢢⠄⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠘⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣊⣀⠠⠤⠓ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠒⠒⠒⠒⠒⠒⠒⠀⠛⠒⠤⠤⠤⠤⠤⠤⠤⠤⠐⠒⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠄⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣾⣿⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡙⣆⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣌⢳⡄⠀⠀⠀⠀⠀⣠⠏⣸⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠙⠦⣄⣀⣀⡴⠃⣰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⡶⣶⠶⠶⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠴⠇⠉⢻⣤⣴⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⢟⣻⠋⠉⠀⠀⣰⠏⠀⠀⠀⠀⡼⠹⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡶⣿⣿⣤⣀⣀⡼⠁⠀⠀⢀⣠⡾⠁⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇⣠⠴⢤⡀⢰⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠀⠀⠀⠉⠻⣿⣄⣀⣤⡴⠟⠁⠀⠀⠀⠀⣠⠇⠘⢷⡄⠀⠀⠀⠀⣠⣿⣿⣿⠁⠀⠀⠙⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⡿⠿⢷⣀⣄⣠⠤⠬⣟⣿⠋⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠻⣦⣀⣠⠞⢁⣿⣿⡟⠀⠀⠀⠀⢉⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣧⡷⠦⣼⡟⠉⠀⠀⠀⠀⡽⣇⠀⠀⣀⣤⣴⠟⠁⠀⠀⢀⣴⡿⣷⡿⠁⢀⡿⣯⣿⠃⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⢻⠉⠳⣄⣽⡃⠀⠀⠀⠀⠀⢹⢻⣶⣿⠟⠋⠀⠀⠀⢀⣴⣿⣿⡾⠋⠀⣠⡏⣠⣿⠇⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠿⣾⣀⣠⣼⠋⠙⠲⣄⡀⠀⠀⢸⢸⡇⠀⠀⣀⣤⣶⣿⣿⡿⠟⠋⠀⣠⠞⠃⣰⡿⠃⠀⠀⠀⠀⣠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣧⣼⠋⠛⡄⠀⠀⠀⠈⢿⣄⠀⢸⣿⠇⣀⣾⣿⣽⠾⠋⠁⠀⢀⡤⠚⠁⣠⣾⡟⠁⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠴⠚⠋⠹⣿⡀⠀⢻⡀⠀⠀⠀⠀⢻⡆⠸⣿⣿⣿⣿⠛⠁⠀⠀⠠⠖⠋⢀⣴⡾⠟⠉⠀⠀⠀⣠⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⣴⢖⣋⣩⣤⣤⠄⠀⠐⠂⠈⠻⣦⣸⡇⠀⠀⠀⠀⢘⣷⠾⢛⣉⣃⣀⣀⣀⣠⣄⣤⣤⣴⡿⠋⠀⠀⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⠿⠿⠿⠿⠿⠿⠿⠿⠿⠶⣷⣶⣶⣶⡶⠿⠿⠿⠶⣿⣿⣿⣛⣻⡿⠿⠿⠿⠿⠿⠿⠭⠭⠭⠭⠵⠶⠶⠾⠿⠿⠶⠶⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠷⢶⣷⣿⣿⣶⣶⣦⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⢀⣼⣿⠃⢈⣦⡄⠠⠀⠨⠉⠉⠛⠛⠿⠿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⡟⣲⣾⣿⣷⣤⣀⠀⠀⠀⠀⠀⠘⢳⣾⣷⣶⣤⡀⠀⠘⠉⠹⠙⠛⠛⠿⢿⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⡶⣾⠷⣾⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⣠⣤⣶⣿⠿⣛⣾⣿⣿⣿⣏⣸⣿⣟⠛⠻⠿⢷⣾⣿⣿⣏⠉⠉⣿⣗⣀⣀⡀⠀⣀⣰⣿⣷⣦⣴⣾⣿⣽⣿⡿⣿⣿⣯⠔⠣⠴⠷⠼⡦⢼⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠟⠁⠀⠀⣿⣧⢈⣿⣿⣿⣿⣿⣿⣷⣤⣴⡶⢾⣿⣿⠀⢠⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣼⣿⣷⣿⣿⣿⣷⣯⣽⣿⣿⣶⣼⣄⣀⣉⣼⣷⣶⣶⣄⡀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠇⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠻⣷⡀⠀⠹⣿⣴⣿⠟⣲⣿⠛⠉⢻⣧⣼⣿⣿⣿⣧⣤⣿⣿⣿⣯⡄⢿⡧⠈⣿⣯⠉⠙⣿⡟⠁⠀⠀⢻⣿⢶⣄⠈⠻⢷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠀⠀⠀⣸⣿⣿⣿⣿⣿⡟⢻⣷⣦⣤⣄⣈⢻⣶⣴⣿⣸⣏⣰⡟⠁⢀⣤⣾⣿⠿⠿⠿⢿⣿⣿⡛⠿⠿⠟⠃⠸⣷⠁⠁⣿⣆⣠⣿⠇⠀⠀⣰⡿⠁⠈⣿⡄⠀⠈⠛⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢸⣿⠀⠀⠀⠹⣷⣶⣾⣿⣽⡍⣿⣿⠃⠀⠩⣽⣿⠏⠉⠉⠻⢿⣿⣶⢾⣛⣩⣽⣶⠂⠀⠀⠀⢉⡉⢲⣶⡀⣀⠀⣀⣿⡆⠀⣼⣿⣻⡏⠀⠀⢰⣿⡄⣠⡾⠛⠻⣦⡀⠀⠸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢺⣿⠀⠀⠀⢸⣳⣿⣥⣶⣾⡛⣿⡿⠛⣛⣛⣿⣿⡲⣤⠶⠶⠈⣿⣿⠿⠟⠉⠉⣿⡆⠦⠽⣶⣿⠧⠈⠟⢷⣦⣽⠏⠙⣿⠀⠀⢿⣿⠁⠀⢠⣿⢡⡾⠋⠀⠀⠀⠘⣷⠀⠠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢸⣿⠀⠀⢰⣾⣿⣿⣿⣿⣿⣽⣿⣿⠷⠶⠶⠾⠿⠶⠶⠿⠶⣶⣿⣿⣿⣷⣶⣶⣿⣷⣶⣾⣿⣧⣤⣤⣤⣤⣻⣷⣴⠿⣿⠆⠀⠼⠿⠀⢠⣿⣿⡟⠁⠀⠀⢀⣤⡶⠟⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢘⣿⡀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⠞⣀⣼⣷⣾⣦⣿⣶⣿⣷⣿⣶⣿⣿⣿⣿⣿⣶⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⡿⢿⢿⣤⣀⣤⣶⣿⠁⠀⠀⠀⠐⣿⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣯⠀⣿⡇⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⢼⣿⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣿⣿⣿⣟⠻⣿⣿⠺⣿⣿⣽⣾⢿⠶⣶⣤⣤⣼⣿⡟⠉⠛⣿⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⣿⡇⠀⠘⣿⢿⣿⠿⠟⢻⢻⣧⠘⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⠇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣄⠀⣤⣿⣄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣷⡇⠀⣿⠸⣿⠀⣠⣶⣼⣿⡩⣿⡿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣟⡛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣷⣶⣦⣤⣀⣾⡿⣿⡿⣷⠸⣿⣿⣿⠿⠋⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⢸⣿⡇⠀⠵⢸⣿⠀⣽⠿⢼⣿⡇⣿⡷⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⡛⢷⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣿⣿⣷⣶⣌⣙⠿⣿⣿⠃⣸⠇⣹⡿⢋⣾⠋⠙⣿⢿⡇⠸⢷⣿⡄⠀⠉⠀⠀⠀⢠⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢸⣿⡇⠀⢰⢨⣿⣿⡿⣵⠸⣿⡇⣿⡇⢨⣿⣿⠟⢋⡉⠀⠀⠀⠸⣿⣮⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠙⠻⢷⣌⠛⠿⣮⡉⠁⢾⠄⣿⣿⢿⣧⠀⢠⣿⣿⣿⣷⢼⣿⠃⠀⠀⠀⣨⣶⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠸⣿⡇⠀⢸⣾⣿⣿⠁⢩⠀⣿⡷⣿⡇⣿⣿⡏⠀⢸⣷⣶⣤⡀⠀⢹⣿⢹⡿⣿⣿⣿⣿⣿⣿⢿⣿⡯⡄⠀⠀⠀⠀⠙⢷⡄⠈⢿⣆⢺⡄⣹⡿⠚⢿⡆⢸⣿⡌⣿⣍⣼⡿⠀⢀⣴⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⠀⠐⣿⡇⠀⢸⡿⢿⡟⠀⠨⠀⣻⡇⣿⣿⠿⢿⠇⣾⣿⠿⣦⡈⢿⡄⠀⣿⡾⣿⡿⣿⣿⣿⣿⣿⢾⣿⣟⣷⣄⣠⡴⢶⣤⣈⣿⡆⠈⢿⣾⡗⢸⣷⣴⣾⣧⢸⣿⠀⠉⢻⣿⡀⠀⠉⠉⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⠀⣰⡿⣷⣀⣾⠅⢨⣷⠀⠀⠀⢸⣷⣿⡇⡀⣾⠀⠹⣿⣿⡿⣿⣼⣿⠀⢸⡇⣿⠖⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣀⠀⠈⣿⣾⣿⡀⠈⣿⡷⢸⡏⠀⠀⢨⡌⣿⠀⠀⠄⣿⡇⠀⠀⠀⠀⠘⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠷⠐⣿⠀⠀⠉⢿⣧⠀⢿⣆⠀⠀⠈⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⢻⣟⣿⡀⠈⣿⣿⡾⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⠉⠛⠛⠛⠁⢿⣇⠀⢹⣿⣼⡿⠀⠀⠸⣿⣇⠀⠀⠇⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠘⢳⣦⣀⠀⠹⣷⡈⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠀⠀⣿⣻⡇⣽⣿⣿⣿⣿⣿⣿⣿⡟⣿⡹⣧⡀⠀⠀⠀⠈⠙⠛⠛⠛⠋⠁⠀⠀⠀⣿⢻⣆⠀⠀⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⡶⢾⠛⠛⠛⠓⠀⠸⣿⡎⠻⣶⣀⠀⠀⠀⢀⣶⣤⣀⣠⣤⣾⣿⣟⣀⣤⢼⢻⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⡇⠈⢿⣌⡙⠷⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠀⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⣠⣤⣤⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⠛⢿⢻⣿⣿⣿⣷⣾⣿⠇⠀⣈⣿⡷⠶⠰⣿⢃⣈⣿⣟⠿⣿⣏⣿⣉⣿⠺⢸⣿⡷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣴⣿⡿⢶⣤⡀⠉⠉⠛⣦⣀⠀⠀⠀⠀⢸⡿⠛⣿⣦⣶⣿⡇⠀⠀⠀⠀⠀⢺⣿⣿⣿⡇⡐⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⡟⣻⡿⠁⢀⣾⠟⠉⠀⠀⠀⠹⠟⠋⠙⠻⢷⣄⠙⣿⣟⠛⠀⢸⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣽⣧⣀⣬⡿⣟⣢⣴⠿⠛⠀⠀⠀⣠⣿⣷⢿⠏⣁⣸⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠿⠿⠻⠿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⣿⣏⣾⣿⡟⠁⣰⡟⠁⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠹⣷⡞⠹⣧⠀⢸⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⣣⣿⣿⡷⠟⠛⠉⠀⠀⠀⠀⠀⢺⣿⣯⣴⣾⣶⣿⠛⢹⣿⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡿⠟⠋⠉⠙⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢀⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⢀⣽⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⢸⣿⣿⢿⣿⠀⣴⡿⠀⠀⠀⣠⣾⠛⠛⠉⠙⣿⣦⣴⡿⣷⡟⣷⠀⢹⣷⣸⣿⣿⣻⣿⣿⣿⣿⣿⣿⣹⣇⢀⣼⣿⡿⠋⠀⠀⠀⠀⣠⣶⠟⢻⠿⣧⡾⢻⣿⢿⣦⣹⡟⢸⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣼⣿⣿⣿⠏⠀⠀⠀⢀⣠⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠅⠀⢸⣿⣿⣬⣿⣼⣿⡇⠀⠀⣼⢿⣾⠟⠛⢻⣿⣿⣿⠿⣦⣿⠀⣿⣀⣼⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⢺⡏⣿⠁⠀⣰⡶⢶⣾⣟⣰⣶⣶⣶⣿⣿⣿⣿⡾⠙⣿⠀⠀⣿⡇⠀⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⢠⣿⣿⣿⣿⡆⠀⣠⣶⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢸⣿⣏⠸⣿⣿⢿⡇⠀⠀⣿⢸⡇⠀⠀⠘⠉⠉⣿⣄⢿⣷⣾⣿⣿⠏⢰⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣺⣿⠘⣷⡘⣷⣄⣿⣶⡿⣿⣿⣿⣿⣿⠏⢹⣿⣿⣽⡇⢠⣿⠀⠀⢻⡇⠀⠀⠀⢰⣿⣿⣿⠁⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⢸⣿⣏⠀⠻⠋⣹⡇⠀⠰⣿⡸⣧⠀⠀⠀⠀⣴⣾⣙⣿⢿⣟⠋⣀⣠⣿⣿⢏⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⡆⠈⠻⣦⣽⣟⣯⡿⠟⠿⠿⠛⠁⠀⢸⣿⣯⡿⠘⣼⠃⠀⠀⢸⡇⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠏⢀⣠⣄⡀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢸⣻⣿⠀⠀⠀⢹⡇⠀⠀⠸⣷⢻⡆⠀⠀⠀⢸⣟⠉⢻⣿⣿⠿⣛⣽⢿⣉⣾⣿⣿⣿⣿⣿⣿⣿⣿⡝⢿⣿⣄⡀⠀⠉⢉⣁⣤⣠⣤⠀⠀⠀⢠⣿⣿⣿⣃⣼⣿⠀⠀⠀⢹⣧⠀⢀⣤⣾⣿⣿⣿⣶⣤⡀⠀⠀⣿⣿⣿⣿⣿⠏⠀⠀⠁⠉⣿⡆⠀⠀⢻⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡅⠀⢘⣸⣿⠀⠀⠀⣸⣿⣤⣀⠀⢹⣾⣷⠀⠀⠀⠸⣿⠀⣾⠿⣿⣿⣿⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡉⠙⠻⠿⣿⣟⣛⣛⣻⣿⠀⠀⢀⣿⢻⡿⠑⠟⢹⣷⠈⠀⠀⢽⡏⢰⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⢞⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠹⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡁⠀⠈⢸⣿⠀⠀⣠⣿⣿⣩⣿⡀⡆⣿⡟⠀⠀⠀⠘⣿⡐⣯⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣥⣉⡉⣿⣹⡿⠀⢀⡾⠋⣿⠁⠀⠀⢸⡇⠀⠀⠀⢾⣟⠈⠙⠛⠛⠋⠉⠉⠉⠀⣀⣀⠘⠻⣿⣿⣿⣿⣶⣤⣤⣶⣿⠟⠁⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡁⠀⠈⢸⣿⡀⠐⣿⡻⣿⣉⣉⣻⣿⣿⠇⠀⠀⠀⠀⣿⡥⣷⣀⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣾⡧⠀⢸⡃⢸⣿⠀⠀⣠⣿⠷⠶⢶⡄⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠙⢷⣄⣈⣿⣿⡻⠿⠿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡅⠀⢈⠘⣿⡇⠀⠹⣧⡈⠙⢛⣭⣿⠋⠀⠀⠀⠀⠀⣼⣧⣽⣛⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣥⣍⣁⣤⣾⠋⣸⡇⠀⠀⢷⣼⣿⢷⡀⢻⣇⣀⡀⠈⣿⣿⡇⠀⠀⠀⠀⢀⣤⣴⣦⣿⡀⠀⠀⢹⡏⠀⣹⣷⣿⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠿⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀ ⡇⠀⠈⠀⣿⡇⠀⠀⠈⢻⡿⠟⠋⠀⠀⣀⣤⣤⣀⡀⢈⣝⣿⣿⣻⣿⣿⣛⣻⣛⣻⣛⣿⣟⣛⢻⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⡿⠷⠶⠿⠃⠀⣀⠀⠉⠻⢷⣝⠛⠛⠋⢀⣰⡿⣿⡇⠀⠀⠀⣀⣼⣿⣀⠀⠈⢷⡄⠀⢸⣷⣼⡏⣀⣤⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⣠⣴⡾⠿⠿⠿⢷⣦⣄⢀⣾⠟⣩⣴⠿⠛⠛⠻⢿⣽⣷⡀⠀⠀⠀⠀ ⡅⠀⠀⠀⣿⣷⠀⠀⠀⢸⣇⠀⠀⠾⢦⣿⢫⢿⣿⢿⣿⠿⣿⣽⣿⡉⣿⡿⣿⣿⢬⣿⣯⣹⣿⣤⣼⡿⣿⣗⣀⠀⢀⣠⡿⢿⣄⠀⠀⢀⣴⠿⢿⡆⠀⠀⠀⠉⠻⣶⡶⠿⠋⠀⣿⡇⠀⠀⠀⠉⠛⢿⣍⠻⣶⣌⣿⣄⢸⣿⣿⡟⠋⢁⣩⣶⣮⣙⣿⣦⠀⠀⢀⣼⢿⣷⠿⠿⠷⢶⣤⣉⠛⠿⣥⣾⠟⠁⠀⠀⠀⠀⢈⣿⣹⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣷⣤⠀⠈⠛⠛⢻⡟⢻⡟⣿⣿⢻⡟⣿⣿⡏⠋⢡⣼⠋⠙⢻⣿⣾⣿⣿⣿⣿⣿⣿⠁⣿⣿⡟⠀⣾⡏⠀⠀⣿⡅⠀⣿⡏⠀⣿⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⢰⣿⡟⠛⠛⠛⣿⣿⣿⡟⡄⣴⡟⠉⠀⠀⠉⠛⠛⠃⠀⢸⣧⣾⡇⠀⠀⠀⠀⠘⣿⣧⠀⣿⡏⠀⠂⠀⠀⠀⠀⢸⡟⢸⡟⠀⠀⠀⠀ ⠁⠀⠈⠀⣿⣇⠈⠻⣷⣄⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣾⣿⣫⣶⣾⣉⣰⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡈⠀⠙⠛⠛⠛⠉⠺⣷⣤⣤⣤⣤⣤⣤⡿⠃⠀⠀⠀⣿⡇⠀⠀⠀⢀⣴⣿⡷⠶⠶⣦⣤⡀⠀⠀⠀⣹⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⠀⠀⠀⠀⠀⢹⣿⣷⣿⠁⠀⠀⢺⣾⣶⣾⡿⢃⣼⡇⠀⠀⠀⠀ ⠁⠀⠀⠀⣿⡿⠀⠀⠙⢿⣧⠀⠀⠈⠀⠀⠀⠀⠀⠀⠛⢟⢋⣿⣿⣿⣿⣿⣿⡿⠿⠛⠻⣛⣫⣿⣿⣿⣿⣟⣉⠉⠉⠛⠻⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⣾⠟⠁⠀⠀⠀⠀⠙⢿⣆⠀⠀⢹⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠀⣿⡹⣿⡄⠀⠀⠀⠛⣿⡿⠿⠟⠋⠀⠀⠀⠀⠀ ⡁⠀⠀⠀⠻⠗⠀⠀⠀⠘⣿⣧⣀⣠⣀⣀⣀⣬⣤⣬⣥⣯⣥⣯⣀⣀⣼⡿⠋⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⢷⣤⣀⠀⠈⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢻⡇⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⣰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠻⣿⡟⣴⢊⣴⣿⣿⢟⣽⡿⠋⠉⠉⠉⠉⠛⠻⠷⣮⣿⣷⣄⠀⠈⠻⢿⣤⣀⣀⣀⣀⣀⣀⣀⣠⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣨⡿⠟⢻⣿⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠘⣇⣠⣤⣀⠀⠀⠀⠀⣠⣴⣶⣤⣤⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⢀⣿⣿⣿⠃⢸⡏⠀⠀⠀⠀⠀⠀⢶⣤⠀⠀⠉⠛⠿⣷⣄⠀⠀⠙⠿⣍⡉⠙⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⣯⡼⣟⣿⠿⠛⠛⠻⢾⣟⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣤⡿⣿⣽⣟⢷⣄⡀⠛⠿⠛⣷⣽⣟⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⣾⣿⣿⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⣿⣷⣄⠀⠀⠀⠀⠙⢷⣄⠀⠀⠈⠻⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⣵⡿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠉⠳⣬⡙⢷⣤⡀⠀⠀⠀⠀⠀⠀⣀⣾⢟⣠⡿⠏⠉⠿⣮⡙⠻⠶⣾⣿⣟⣿⣷⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣿⣿⣿⡇⠀⠘⣿⡀⠀⠀⠀⠀⠀⢸⡿⠀⠹⣧⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠈⠛⠷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢾⣫⡴⢟⣱⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⡈⠛⠷⠶⢶⡶⢶⠾⢋⣵⣾⠛⠁⠀⠀⠀⠙⠷⢦⣴⣬⡴⠟⠁⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⣿⣿⣿⣧⡀⠀⠈⠿⢶⣤⣤⣤⣶⡟⣡⣆⠀⣿⡆⠀⠀⠀⠀⠀⠀⠉⠳⣦⣄⠀⠀⠀⠀⠙⠻⠶⣤⣀⣀⠀⣀⣠⣴⣾⣿⡵⠿⣫⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⣤⣠⣤⣤⡶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⢹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠙⣿⣿⣿⣷⣄⣀⠀⠀⠀⢀⣠⣴⣾⣿⡏⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣦⣄⣀⠀⠀⠀⠉⠙⠛⠻⠛⢿⣏⣽⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠻⠿⠿⠿⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣆⡀⠀⠈⠉⠛⠛⠿⠿⠿⠟⠛⠉⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡙⠻⣶⣤⣤⣤⣀⣤⢀⣀⣀⣤⣴⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣤⣀⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡴⡒⠒⠲⠶⠒⠒⠛⠓⠲⠶⠒⠒⠚⠓⠶⠶⠤⠤⠤⠶⠶⠦⠤⠤⠴⠶⠦⠤⠤⠤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠟⠀⢱⠀⠀⠀⢀⠴⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⢤⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠶⠋⣀⡀⠸⡆⠀⠀⢏⠀⠀⡠⠃⢰⣄⠀⣸⣇⣀⣴⠇⠀⠀⠀⣶⡀⢀⣿⠀⠀⣤⠀⠸⠤⠊⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠏⠀⡜⠁⢸⠀⠙⡄⠀⠀⢉⢉⠀⠀⡠⠛⠉⠉⠉⠉⠉⠳⣄⢀⠴⠊⠉⠉⠉⠉⠙⢧⡀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠁⠀⠀⢇⠀⡼⠀⠀⢱⠀⠀⠉⠁⠀⡞⠀⠀⠀⠀⠀⡠⠤⣀⠈⡏⠀⢀⣀⣀⡀⠀⠀⠀⢱⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢛⡗ ⣷⡀⠀⠀⠈⠙⠀⠀⠀⢸⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡎⣴⣿⡎⡆⠸⠀⡏⣶⣷⣽⡄⠀⠀⠀⡇⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⡼⢁⡼⠋⠀ ⠈⢳⡄⠀⠀⠀⣀⡀⠀⠘⡆⠀⠀⠀⠀⣧⣀⣀⣀⠀⠘⠪⠭⠛⢠⡇⠀⠑⠭⠭⠞⠀⠀⣀⣸⣀⠀⠀⢸⠃⠀⠀⠀⠀⠀⣴⠚⠺⣟⣩⠷⡄⠀ ⠀⠘⣧⠀⠀⡎⠀⡇⠀⠀⡇⠀⠀⠀⠀⡅⠈⠀⠘⠙⢦⣀⡠⠖⠁⠈⢢⣄⣠⠤⠔⠂⠉⠀⢀⡸⠀⠀⢸⡆⠀⠀⠀⠀⠐⡇⠑⡶⣏⣀⢆⡇⠀ ⠀⠀⠙⣦⠀⠧⠴⢁⣀⣀⢡⠀⠀⠀⠀⠀⠈⢻⡀⠀⠉⠀⠀⠀⠀⠀⠀⠠⢤⣤⣤⡤⠴⠖⠋⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠙⡆⢀⣈⣡⠟⠀⠀ ⠀⠀⠀⠈⡇⠀⠀⢸⠀⠈⡏⡄⠀⠀⠀⠀⠀⢸⣿⣶⣦⣤⣤⣤⣤⣤⣤⣤⡤⠤⣭⠶⠄⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⣰⠃⡞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢧⡀⠀⠸⡄⡰⠁⢱⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⢸⣿⡇⠀⠀⡇⠀⠀⢠⠖⠓⢢⠀⢇⠀⠀⠀⠀⠀⣰⠃⡼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢱⡀⠀⠈⠀⠀⢸⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠉⠀⠀⠀⠸⣤⠤⠊⠀⣾⣀⣀⡀⠀⣰⠋⡼⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣧⣄⡀⠎⡐⠈⡆⠀⣰⠆⠀⠘⢏⠉⠙⠛⠟⠛⠿⣿⣿⡇⠀⠀⠀⠀⠀⣀⠤⡄⠀⢸⠋⢠⡶⠗⢚⣡⠾⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠃⠀⠹⡋⠀⠀⠃⠀⠠⠒⢢⠀⢄⠙⠒⠶⠶⠶⠶⠞⠛⠀⠀⠀⠀⠀⠀⠧⠴⠃⠀⢸⠀⢀⣻⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠀⠀⠀⣇⣀⠀⠀⠀⠣⠤⠊⠀⠀⠉⠛⠚⠛⠒⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⣀⣠⡟⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⠤⡴⠋⠉⠉⠙⡟⠛⠉⠙⠛⠻⢟⡉⠉⢉⠟⢖⠒⡻⠻⣍⢉⡽⠛⠉⠉⠉⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡄⡟⣶⣶⣦⠴⡧⠤⠤⠤⠤⠤⠤⠬⠭⢥⣤⡼⠉⢷⣤⣤⣁⡀⣀⣀⣀⣠⡶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠉⠉⠀⡇⠀⠛⠛⠛⠛⠀⠘⠛⠛⠛⢧⠀⡸⠛⠛⠛⠁⠙⠛⠛⠛⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠇⠘⢶⣤⣄⣀⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠸⣆⠸⣏⠉⠉⠉⠉⠉⣹⠏⠉⠉⠉⠉⠙⠯⣍⣉⣉⣀⡤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⣦⠸⡗⠋⠀⠈⠙⡗⣶⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⠶⠃⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣗⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣿⣦⣄⣀⡀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣶⣾⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠻⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⢶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⡍⢾⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠚⠛⠛⠒⠲⢤⡀⠀⠈⢮⣾⡽⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⡀⠀⢱⡝⡘⡢⢄⡀ ⠀⠀⠀⠀⠀⠠⠁⠀⠀⢀⡤⠤⠠⠤⡀⠀⠀⠀⠀⢳⡄⠀⡇⠛⠂⠀⣹ ⠀⠀⠀⠀⠀⡇⠀⠀⢠⠃⢠⢶⠤⡀⠙⣆⠀⠀⠀⠀⢳⡀⠹⡄⠐⢹⠃ ⠀⠀⠀⠀⠀⡇⠀⠀⠘⣆⡈⠉⣠⠇⠀⣻⠀⠀⠀⠀⠀⠳⡄⡇⠀⡏⠀ ⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠉⠉⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⡹⠁⠀⣇⠀ ⠀⠀⢀⣀⣀⣠⣽⠦⣀⣀⠀⠀⣀⣠⣚⣁⠀⠀⣀⣠⠤⠊⠀⠀⠀⡏⠀ ⠴⠟⠛⠓⠒⠦⠤⣄⣀⡉⠉⠉⠀⠀⠀⠈⠉⠉⠁⠀⠀⣀⣠⠴⠊⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠒⠒⠒⠒⠒⠒⠒⠛⠉⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⣶⠶⠶⢶⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⣀⣤⣄⠀⠀⠙⠛⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⡆⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⣀⠀⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀ ⠀⠀⠸⣿⡀⠀⠀⣿⣆⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⢀⣴⡾⠟⠋⠉⠉⠉⠙⠛⢿⣦⡀⠀⠀⢻⣷⠀⠀⠀⠀ ⠀⠀⠀⢻⣷⣤⣶⡾⠿⠷⣶⣤⡀⠀⠀⠀⢻⣷⠀⠀⠀⠀⣰⡿⠋⠀⠀⣀⣤⣤⣤⣄⡀⠀⠙⣿⡄⠀⠈⣿⡇⠀⠀⠀ ⠀⠀⠀⢀⣿⠟⠁⠀⠀⠀⠀⠙⣿⣆⠀⠀⠸⣿⡀⠀⠀⢰⣿⠁⠀⢀⣾⠟⠋⢁⠈⠙⣿⡄⠀⢹⣧⠀⠀⣿⣧⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠈⣿⣦⣤⣴⣿⣷⠀⠀⣿⡇⠀⠀⣿⠏⠀⣰⡿⠃⠀⣸⡇⠀⢸⡿⠀⠀⣿⡇⠀⠀⠀ ⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡏⠀⠀⠀⠀⠀⢿⣇⠀⠀⣿⡆⠀⠹⣷⣤⣴⡿⠁⢀⣾⡇⠀⢰⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣄⠀⠀⠀⠀⠘⣿⡄⠀⠙⣿⣆⡀⠈⠉⠁⢀⣤⣿⠏⠀⣠⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣦⣄⡀⠀⠘⢿⣦⡀⠈⠛⠻⠿⠿⠿⠟⠋⠁⣀⣴⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠾⠿⣿⣷⣶⣤⣤⣤⣤⣤⣶⣿⣟⡋⠀⠀⠀⠀⢀⣠⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠛⠛⠛⠻⠿⠿⠷⠾⠟⢻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠁⠀⠀⣀⣤⣄⣀⡀⠀⠀⣀⣠⣤⣀⠀⢀⣀⣤⣤⣤⣀⣀⣤⣶⣦⣤⣴⣶⠿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠷⠶⠶⠿⠛⠉⠉⠛⠿⠿⠿⠛⠋⠉⠛⠛⠛⠛⠉⠉⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⣀⡤⣤⢤⡤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠛⠋⠁⠁⠀⠀⠀⠉⠛⣯⣳⡀⠀⠀⠀⠀⠀⠀⢠⡿⠃ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣿⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⢹⡆⠀⠀⢸⣿⠀⠀⠀⠀⢠⡿⠁⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⠀⢀⣮⠏⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠈⠻⢦⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠙⣿⡿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠀⠀⠈⠉⠙⠻⣿⣿⣿⣿⣿⣿⡏⢠⣷⣾⠏⠀⢨⣿ ⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡇⢸⣿⡟⢠⣿⣿⣿ ⣿⣿⣿⠏⠀⠀⠀⠀⣠⣴⠶⠶⠶⣦⣄⠀⠀⠀⠈⢿⣿⣿⡇⢸⣿⡇⣼⣿⣿⣿ ⣿⣿⡿⠀⠀⠀⠀⢸⡟⠀⠀⠀⡀⠀⠹⣧⠀⠀⠀⠈⢿⣿⡇⠘⣿⡇⢸⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⢸⣇⠀⠀⠀⣹⠀⠀⢻⡇⠀⠀⠀⠘⣿⠃⠀⠀⠀⠸⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠙⠷⠶⠾⠋⠀⠀⣾⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⣿⣿ ⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⢀⣿⣿⣿ ⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⣀⣠⣴⣿⣁⡀⠀⠀⣀⣠⡾⠃⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⣿⣿⣿⠿⠛⠛⠛⠛⠛⠛⠉⠀⠈⠙⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿ ⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⠿⠿⠿⠿⠿⠿⠿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣿⣿⣦⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠻⣿⣿⣿⡇⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣶⣶⣤⣀⡀⠀⠀⠀⠀⠈⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⡄⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠟⠋⠉⠁⠀⠈⠉⠛⠿⣿⣦⡀⠀⠀⠀⠸⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣷⡀⢀⣤⣼⣿⣷⣤⣤⣀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⣰⣿⡟⠁⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠈⠻⣿⣦⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⣿⣿⠟⠋⠉⠉⠉⠛⢿⣷⣄⠀⠀⠀⠀⢿⣿⡀⠀⠀⠀⠀⣴⣿⠏⠀⠀⠀⣠⣶⣿⠿⠛⠻⣿⣷⣄⠀⠀⠹⣿⡇⠀⠀⠈⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⡀⠀⠀⠸⣿⣇⠀⠀⠀⢠⣿⡏⠀⠀⠀⣼⣿⠟⠁⠀⣠⡀⠀⠻⣿⡆⠀⠀⣿⣷⠀⠀⠀⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⣠⣴⣶⣿⣿⡆⠀⠀⢸⣿⠁⠀⠀⢸⣿⠇⠀⢀⣾⡿⠃⠀⠀⣿⡇⠀⠀⣿⡿⠀⠀⢀⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡿⠋⠉⠈⠉⠀⠀⠀⢸⣿⡀⠀⠀⢸⣿⠀⠀⢸⣿⣇⣀⣀⣾⣿⠃⠀⢰⣿⡇⠀⠀⣸⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣄⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠘⣿⣧⠀⠀⠙⠻⠿⠿⠛⠁⠀⣠⣿⡿⠀⠀⢰⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣶⣄⠀⠀⠀⠀⠀⠻⣿⣄⠀⠀⠙⢿⣷⣤⣀⠀⠀⠀⣀⣤⣾⡿⠋⠀⠀⣰⣿⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣦⣀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠙⠛⠿⠿⠿⠿⠿⠟⠉⠀⠀⣠⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣷⣶⣶⣶⣿⣿⣿⣶⣤⣀⣀⣀⣀⣀⣀⣀⣤⣶⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⢀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠛⠛⠿⠿⠿⠿⠿⠿⢿⣿⣿⣷⣶⣶⣤⣤⣤⣄⣠⣴⣿⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠛⠛⠛⠋⢁⣾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠉⠀⠀⠀⠀⣀⣤⣤⣤⣀⡀⠀⠀⠀⢀⣠⣤⣤⣄⠀⠀⠀⣀⣤⣶⣶⣤⣄⣀⣠⣤⣶⣷⣶⣴⣶⣾⣿⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣶⣦⣶⣶⣿⠿⠛⠙⠛⠿⢿⣿⣶⣿⡿⠟⠛⠛⠿⠿⠿⠿⠿⠟⠉⠉⠛⠻⠿⠟⠛⠉⠉⠉⠉⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⢀⡾⠋⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⣿⠋⣷⢺⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣎⢻⡆⠸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣄⣠⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣻⣆⠹⣯⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠿⠟⠛⠋⠉⠉⠉⠉⠛⠛⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠻⣿⡽⣷⣽⡎⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣦⡀⠀⠀⠀⠀⠘⢿⣿⢿⣿⡌⠻⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⢻⣷⡙⢿⠀⠙⢿⣦⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀⢻⣇⠀⣴⣛⠶⡌⠙⠻⢶⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⢸⡏⠀⣿⣧⡶⠇⠀⠀⠀⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⣀⣶⠿⠋⠉⠉⠁⠈⠉⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⢀⣠⣾⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⣴⡟⠁⠀⣀⣤⣤⣀⠀⠀⠀⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀⢻⣷⠀⠀⠠⠴⡾⠛⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⢠⣟⢉⣹⠉⠻⣆⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⢻⣇⠀⠀⠀⠀⣼⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠺⣿⠀⠀⠀⠛⠿⠛⠀⠀⣿⡆⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⢻⡆⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠹⣷⣤⣀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⣹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⣾⠃⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠓⠚⠛⠉⠀⠀⠀⠀⠀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡏⠀⠀⠀⢸⣯⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣈⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀ ⠀⠀⢀⣀⣤⣶⡶⠶⠿⠿⠟⠛⠛⠛⠉⠉⠉⠙⠛⠶⠶⣶⣶⣦⣤⣤⡶⠾⠛⠙⠛⠛⠿⠷⣶⣦⣤⣴⣶⡶⠾⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⠀ ⢠⣶⣿⡿⠶⠶⠿⠿⠿⠾⠷⣶⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠟⠃⠀⠀⠀⠀⠀ ⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠻⠶⣶⣤⣤⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠳⠶⠶⠶⠶⠶⠶⠷⠶⡷⠷⠶⠶⠾⠿⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⢧⡀⠀⠀⠀⠀⠀⠀⢠⢏⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡱⣄⠀⠀⠀⠀⢠⠏⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡌⠲⣄⣀⡴⠃⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⠶⠟⠛⡟⠉⠙⠓⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠚⠁⠈⠒⡾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣽⣾⣇⠀⢀⠜⠁⠀⠀⣠⠃⠙⢷⣤⡀⠀⠀⠀⠀⠀⢀⣼⢀⣀⡀⢀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠈⠉⠙⠻⣯⣀⣤⡴⠋⠁⠀⠀⢠⠏⠳⣄⠀⠀⠀⣠⣾⣿⠋⠀⠈⣾⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⢿⠛⢷⣤⠤⠒⠺⢿⡁⠀⠀⠀⢀⡴⠋⠀⠀⣘⡦⣤⠞⢡⣿⣿⠀⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⡿⢿⡉⣾⠁⠀⠀⠀⢸⣧⣀⣴⠶⠋⠀⠀⣀⣼⣻⡿⠃⣠⠏⣿⠃⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣇⢀⣹⠟⠢⣀⠀⠀⠈⢸⠋⠁⢀⣠⣴⣾⣿⠟⠋⢀⠴⢉⣾⠃⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣧⡟⠙⡅⠀⠀⠈⢷⡄⠀⣿⢀⣰⣿⡿⠛⠁⠀⡠⠞⢁⣴⡿⠁⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡠⠤⠒⠋⠁⡘⢧⡀⢹⠀⠀⠀⠀⢿⣀⣿⣿⠿⠉⠀⠀⠀⠉⣠⣼⠟⠉⠀⠀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣶⣿⣷⣶⣿⣿⣤⣤⣤⣤⣽⣾⣦⣤⣤⣴⢾⣯⣶⣶⣶⣶⣶⣾⣾⣾⣟⣡⣤⣤⣄⣀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣏⣓⡆⠀⠀⣴⠲⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⣸⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡯⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⡤⠤⠤⠿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠟⠉⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠋⠉⠉⠉⠉⠉⠉⠓⠲⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠶⣦⢤⣤⡀⢶⣤⠴⣷⠛⡿⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢽⣆⢿⣶⣿⣈⣈⠻⣷⠿⡸⡇⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠤⠤⣄⡀⠀⠀⠈⢧⠀⠀⠀⠀⠀ ⡏⢳⡀⠀⠀⠀⢸⠈⠛⠛⠐⠋⠈⠙⠉⠉⠁⡇⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠹⡄⠀⠀⠈⣇⠀⠀⠀⠀ ⣇⠀⢳⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⣠⠖⠀⠀⢸⡀⠀⠀⢼⡀⠀⠀⠀ ⠘⡄⠀⢳⡀⠀⠈⡇⠀⠀⠀⠀⠀⠀⣶⠀⢰⡗⠒⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⢰⠃⠀⠀⠀⢸⠁⠀⠀⢹⡇⠀⠀⠀ ⠀⠙⢦⡀⠉⠲⠴⡇⠀⠀⠀⠀⠀⠀⣿⡀⢸⣟⢶⡄⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠘⢦⡀⠀⣠⠏⠀⠀⠀⢼⠃⠀⠀⠀ ⠀⠀⠀⠈⠓⠒⠤⡇⠀⠀⠀⠀⠀⠀⢹⡇⢸⠘⠚⣿⡀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⢀⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⢾⠀⣸⠀⠀⠈⢧⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠘⠦⠇⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣄⡀⠀⠀⠀⣀⣠⠴⠛⣤⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⢀⡞⠀⠈⠉⢱⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠯⠤⠔⠒⠒⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠋⠑⠒⠦⠤⠤⠤⠤⠤⠴⠒⠒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠐⠀⠒⠒⠀⠀⠒⠐⠒⠀⠐⠂⠒⠒⠐⠒⠃⠒⠀⠂⠒⠒⠒⠀⠀⠂⠀⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆。˚˙✧˖°📷 ༘ ⋆。˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧。⋆🌻⋆。‧˚⛷🧚‍♀️🛖
⢸⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀ ⢨⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⢸⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀ ⢠⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀ ⢸⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀ ⠘⡇⢸⣿⣿⣿⣿⣿⣿⣿⡏⠙⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⠋⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⢈⣿⣼⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⢸⠉⠛⢿⣿⣿⡿⢛⣿⣿⠀⠀⠀⢸⡷⢦⣄⡀⠀⠀⠀⠀⠀⠘⠻⠶⣦⣀⣀⠈⠙⢳⣄⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⢸⡀⠀⠀⠙⢿⣿⣿⣿⡇⠀⠀⠀⠀⣷⠀⠀⠙⠓⠶⠶⠒⠲⠦⣤⣄⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠟⠿⣿⣿⣷⣄⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀ ⠘⡇⠀⠀⠀⠀⠹⣿⣿⡇⠀⠀⠀⠀⢸⡄⢀⣠⣤⡀⠀⠀⠀⠀⠀⠉⠛⠶⢤⣤⣤⣤⣀⡶⢶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣴⡶⢤⣄⡀⠀⠀⠉⠛⠷⣄⣸⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⡄⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠈⣧⠚⠁⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣬⣉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠃⠀⠀⠀⠀⠀⠈⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣄⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⡇⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠓⠶⠶⣤⣀⠀⠀⠀⠀⠸⣾⡛⠶⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠾⢿⣿⣦⠀⠀⢀⡴⠿⢦⡀⠀⠀⢰⡇⢀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢦⣄⣀⣀⣈⠙⠳⠦⣤⣌⣙⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠳⣞⠉⣾⠻⣾⠛⠛⠛⠛⠛⢒⢦⡤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣧⣀⠀⠀⠀⠀⠙⢷⡟⠒⠋⠀⣀⣤⣀⣀⣹⣬⠇⠀⠉⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠶⠶⠶⣤⣀⣀⣤⠖⠛ ⠀⠉⣻⣶⣦⣄⣀⣼⠀⠀⠀⣼⠋⠁⠀⠈⠉⠙⠲⣦⣀⠀⢂⣙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢀⣤⠞⠋⠁⠀⠀⠀ ⠛⠉⠉⠁⠀⠀⠈⣿⠀⣠⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣼⠾⠃⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⣩⡾⠋⠁⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⡀⠀⠀⠀⣸⡆⠯⠿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⡾⠋⠀⠀⠀⠀⠀⠀⠀⣠⡾ ⠀⠀⢩⣿⣿⠿⠛⠉⢻⡄⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⣰⢾⡿⣆⠀⠀⠀⢀⣀⣠⣤⠴⠶⠚⠛⠛⢛⣻⣝⠛⠛⠛⠒⠲⢤⣤⣼⠋⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⠾ ⠀⢀⡼⠋⠁⠀⠀⢀⣠⣽⣄⠀⢒⡙⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡌⠉⠁⠈⠓⠒⠚⠋⠉⣴⣿⡿⣀⣠⣤⣤⣼⣷⣭⣀⣀⠀⠐⢶⣻⡗⠉⠙⢶⣄⣠⣤⢤⡶⠛⠉⠉⠀⠀ ⢰⠿⠥⢤⣶⠖⠛⠉⠁⠀⠈⠳⣭⡀⠀⠀⠉⠙⠲⠶⠶⠶⠶⠶⠶⠛⠁⠀⣴⣾⣷⠀⠀⢀⣠⡾⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢺⢧⣄⠀⠀⢠⡤⣤⡄⠈⢷⡀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⣹⠟⠋⠉⠓⠲⠦⣤⣯⣻⠀⢀⣀⣀⣀⣙⠛⠋⠀⠀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢻⠀⠺⠶⠋⣀⣠⡼⠧⣤⣶⡶⠶ ⠀⠀⠀⠘⣿⡷⠶⣤⡀⠀⠀⠀⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠂⢀⣉⠳⣄⠀⠀⠻⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠉⠛ ⠀⢀⣰⠟⠋⠉⠓⠀⢹⡄⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⠀⠀⠈⢷⣄⡴⢺⡷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⠀⠀⢠⡞⠳⣤⡤⣄⣀⡀⠀⠀⠀ ⠀⢸⡾⠲⢤⣤⣤⡴⠻⣆⠀⠀⠀⠀⠈⠛⠒⠲⠦⠤⠴⠶⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀⠉⠻⣭⡀⠀⠉⠓⠲⠦⠤⣤⡤⠤⠤⠶⠚⠋⠁⠀⡀⣠⡴⠋⠀⠀⠈⠛⢦⡉⣹⡷⠒⠒ ⠀⠘⢷⣄⡀⠀⠀⣀⣠⣟⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⣄⣀⠀⢾⣹⠗⠀⠀⠀⢀⣀⣤⠶⠛⠹⣿⠶⣄⡀⠀⠀⠀⠙⢿⡄⠀⠀ ⠀⠀⢸⡋⠉⠉⠉⠉⢀⡿⠀⠀⠀⠀⠀⠉⠉⠉⠀⡾⠉⠉⠉⠉⢻⠶⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠋⠉⠉⠙⣇⠀⠀⠀⠸⣶⢿⣽⣷⢦⣀⡀⠀⠙⢦⡀ ⠀⠀⠀⠛⠶⢤⡤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠧⣄⣀⡀⢀⠏⠀⡼⠃⠉⠓⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠸⣟⣷⠇⢀⣾⠟⠓⠦⢤⣷ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣆⠀⠀⠀⠈⠉⠛⠤⠸⣅⣀⠀⠀⢠⠏⠳⣄⠀⠀⠀⠀⠀⠀⠀⣠⡴⠒⢦⡀⠀⠀⠀⠀⣸⡟⢦⣀⠀⡿⠋⣠⡾⠋⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⠤⠤⠤⣄⡀⠀⠀⠉⠙⠲⠟⠀⠀⠈⠓⠀⠀⠀⠀⢀⡾⠉⠀⠀⢈⡇⠀⠀⢀⣴⠟⠀⢀⣍⡛⠃⣰⢿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⠦⣄⣀⡤⠴⠆⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢀⡾⠁⠀⢀⣾⠋⠀⢀⣿⣿⠇⢰⡿⢸⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡟⢶⠶⠶⠦⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⠖⠋⠀⠀⠀⣼⢃⡤⠞⠋⠙⢧⣀⡿⠁⠈⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⠈⠳⣄⠀⠀⠈⠙⠳⢦⣤⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡿⠋⠀⠀⠀⠀⠈⣿⠁⠀⠀⢻⡇⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠀⠀ ⢀⢤⢄⡀⠀⠒⠀⠒⠂⠉⠉⢁⣀⢀⣀⣉⢢⡀⠀ ⢘⠀⠀⠈⢁⠑⠀⠀⠈⠀⠉⢁⠀⠀⢠⠄⡔⠁⠀ ⢸⠀⠀⠐⠛⢐⠀⠕⠈⣉⡲⡂⣉⡲⢀⠔⠀⠀⠀ ⠆⠘⠁⠀⠀⡞⠆⡀⠸⡿⠇⡇⢿⡧⡩⠀⠀⠀⠀ ⡄⠀⠀⣤⢀⠃⠀⠈⠒⠒⠘⢞⠉⢠⠆⠀⠀⠀⠀ ⡄⠀⠘⠉⢠⠂⠀⠈⠍⠉⡶⠬⡏⠰⠀⠀⠀⠀⠀ ⡅⠒⣀⢀⠰⠈⠀⠀⠉⠈⣀⡈⠧⣴⢢⠀⠀⠀⠀ ⠑⣆⢇⠀⢨⠵⢖⡕⢶⣿⣽⣶⣶⡟⠵⢄⡀⠀⠀ ⠀⢿⣿⡶⡷⠿⢯⣙⠻⣷⣶⡟⠂⠩⢅⢜⢕⢇⠀ ⠀⠀⠀⠹⢷⠯⠅⠀⠀⢸⡇⠀⠀⠀⠀⠑⠓⠛⠁ ⠀⠀⠀⠀⢀⠻⠀⠀⢠⣾⣧⡴⣶⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣶⣴⣶⣦⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠋⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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( ⌓̈ ).。oO
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⠀⠀⠀⠀⠀⠀⣀⠤⠤⠤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠉⠉⠙⠒⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡇⠀⠀⠀⠀⡠⠄⠀⠤⣀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠖⠒⠚⠛⠛⠒⠦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡠⠀⠀⢼⠀⢀⣀⡀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠈⠓⢄⡀⠀⣀⠴⠚⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⣀⣌⡄⠘⠿⠇⠀⠀⠸⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀⠜⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀ ⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠙⠻⠊⠢⢄⡀⠀⢀⠘⠀⢠⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⠀⠀⢳⠀⠀ ⢎⠀⠀⠀⠉⠑⠢⢄⡀⠀⠀⠀⠀⠀⠘⠦⡀⠀⠀⢀⡜⠀⠀⠀⠀⣠⣾⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠉⠒⠤⣀⠀⠀⠀⣸⠀⠀ ⠈⢣⡀⠀⠀⠀⠀⠀⠈⠑⠒⢤⣀⠀⠀⠀⠈⢯⠈⠁⠀⠀⣀⣤⣾⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠙⢦⡀⠀⠀⠀⠀⠉⠙⠋⠁⠀⠀ ⠀⠀⠙⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⣀⣸⠀⠀⠈⠙⢿⣿⣿⣿⠿⡟⠁⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⢀⣿⠟⢁⡀⠤⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢈⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⡌⠸⣄⣠⠤⠶⢄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢤⡀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢎⠜⠀⠀⣏⠀⢀⠀⠈⢳⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⡡⠊⢀⣴⣿⣿⣷⣄⠀⠀⠈⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⡩⠊⠀⢀⣾⣿⣿⣿⣿⣿⡆⠀⠀⢡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⢊⠅⠊⠀⠀⠀⠘⣿⣿⣿⡿⣿⣿⣷⠀⠀⡎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠐⠁⠀⣀⡠⠄⢒⣩⣴⡊⠁⠀⠀⠀⠀⠀⠀⠈⠛⠛⢠⣼⣿⣿⠀⣰⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡔⠫⢔⣒⠠⠤⠤⠤⠤⠤⠐⣒⣈⣥⣴⣶⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣇⠔⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠈⠉⠉⠉⠉⢿⣿⣿⡿⣿⣿⣿⣷⣦⣬⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠔⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⢀⣀⣀⠀⠀⠈⠛⠋⠀⢾⣿⣿⣿⣿⣿⠟⠀⣀⡤⠚⠉⠙⠒⠒⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢀⡖⠉⠀⠀⠀⠀⠉⠐⠢⢄⠀⢠⠉⣉⣉⡠⠤⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣇⠀⠀⠀⠀⠀⠀⠀⠀⡰⠱⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⣗⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣿⢻⡟⠛⠻⠿⣾⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⡿⣷⣼⣿⣥⣈⣀⡀⠐⣾⣿⣯⡍⠙⠛⠟⢛⡶⡶⣤⣤⣤⣤⣤⣤⡤⣤⠶⡶⠶⠶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣾⡟⠋⢻⡟⣿⣶⣿⣯⣍⣛⣻⣿⡆⢸⣿⣶⣦⣴⣾⣿⣳⣟⣿⣿⣿⣿⣭⣺⠯⠿⣧⣁⡀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠁⠀⣾⣿⣿⣿⣿⠋⠙⢿⡀⢹⣷⡿⣻⠟⠙⣷⣽⣿⣿⣽⣿⣿⡍⣿⡼⣿⠉⢿⡋⢀⣹⡷⣦⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⣿⠀⠀⣿⣿⣿⣟⣾⡟⠛⣲⡿⠛⠻⣷⣧⣴⣛⣿⢍⠉⠙⡟⣭⢉⣀⣸⡄⢸⣷⡟⠀⢠⣏⣠⠾⢦⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣿⠀⠀⣇⣿⣼⣟⣿⡟⢛⢿⡧⢧⡤⢸⣿⣿⠛⣻⡼⢼⣿⠇⠿⢧⡿⢛⣇⠃⣿⠃⢀⡿⣼⠃⠀⠀⣧⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⠀⠸⣿⣿⣿⣿⣿⡏⣭⣭⣩⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣾⣿⣯⣿⣤⣽⣥⣾⣿⡁⣀⣴⠚⠉⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⠀⢸⣿⣿⣿⣿⡷⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⡿⠿⠿⠶⣦⣴⣿⢉⣻⡷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢻⡶⢸⡇⡇⣠⣯⣿⢿⣿⣿⢿⣻⣿⣿⣿⡛⠿⣿⣿⣿⣿⣿⣿⣿⣿⠻⢿⣿⣿⣿⣿⣿⣷⢤⣤⣰⡿⡿⡏⢷⣿⠟⠃⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢸⡇⠀⠕⣷⣾⡏⣿⣸⡟⣿⣿⢿⠛⠛⢻⣝⣦⣿⣿⣿⣿⣿⣯⠿⠿⢿⡶⢯⡟⢇⡇⣾⣭⡏⢨⣿⣧⣽⡿⠀⠀⢤⣴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢸⣇⠀⣿⣿⠇⡇⣿⢾⣿⣿⣇⣸⣶⢦⡀⢻⣽⣿⣿⣿⣿⣿⣿⡆⠀⣀⠙⢦⠙⣦⡇⢿⢓⣻⢸⡿⢿⣿⠃⠠⠾⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⢠⢿⣀⡏⢹⡀⠀⢹⣾⣇⣹⠘⣿⣿⣦⣷⠸⣿⣏⣿⣿⣿⣿⣿⣿⣾⡉⢹⣿⣇⠸⣿⢸⠋⠉⣞⡇⠀⢿⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡋⠻⣀⠈⢳⡘⣧⡀⠈⠉⠉⠁⠀⠀⠀⣹⣽⠀⣿⣟⣿⣿⣿⣿⣿⣿⣿⡈⠉⠁⠻⠤⠿⠾⠃⠀⢿⣆⠘⢸⠆⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣖⣛⣛⡂⢻⡎⠷⣄⠀⢀⣤⣤⣤⣴⣿⣣⡤⢿⣇⣿⣿⣿⣿⣿⡇⢳⣝⠦⠤⣄⣀⠀⠀⠀⠀⣼⣸⡀⢸⡆⠀⠀⠀⣿⣿⡇⠀⠀⣀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⢹⣿⣿⢿⡿⢃⣴⠟⠉⠹⡷⠺⢿⣝⢾⡷⠏⢸⣿⣿⣿⣿⣿⣿⡟⣿⣯⣙⣶⡤⣨⡷⠄⠀⢰⣿⡽⡟⣿⡇⠀⠀⠀⣿⣿⣷⣵⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢀⣴⣿⣿⣿⢿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⢹⣿⣿⡿⢁⡾⠁⠀⠀⣀⣀⠀⠀⠈⣷⠿⡆⢸⣿⣿⣿⣿⣿⣿⡇⠹⣿⣿⠿⠉⠁⠀⠀⢸⣿⣶⣿⣿⢹⣇⠀⠀⠀⣿⣿⣿⣿⠏⠉⠹⣿⣿⣿⣿⠁⠀⠀⣾⣿⡿⠁⠀⠀⢀⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠄⢸⣿⢻⣇⣾⠁⢀⣴⣯⠧⣬⣷⣾⣻⢻⡆⣿⣾⣿⣿⣿⣿⣿⡿⣧⡾⡟⠁⣀⣀⣴⣋⣛⣻⣿⣿⡿⣾⠙⣿⠀⠀⠀⣿⣿⠋⠀⠀⠀⣰⣿⣿⣿⠏⠀⠀⣸⣿⣿⠁⢀⣠⣶⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⢸⣿⢹⣿⢿⠀⢸⢸⠁⠀⠋⣻⣝⣿⣾⡿⢋⣿⣿⣿⣿⣿⣧⣷⡇⢳⡳⣼⣷⣾⣿⣿⡿⠛⣿⣿⡅⡇⠀⣿⠀⠀⢸⣿⡟⠀⠀⠀⢰⣿⣿⣿⠏⠀⠀⠀⣿⣿⣿⣶⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡂⢸⣿⠀⠁⢾⠀⠘⣾⡇⠀⠀⣿⠾⣿⣧⢶⣻⢿⣾⣿⣿⣿⣿⡿⣿⣄⠙⠓⣓⣋⣙⠉⠀⣰⣿⡏⣼⠁⠀⣿⠀⢀⣼⣿⣧⣀⠀⢠⣿⣿⣿⠏⠐⠒⣦⠀⠹⣿⣿⣿⡏⠁⠀⠀⠀⠀⣠⡾⠀⠀⠀⠀⠀⠀ ⠅⢸⣿⠀⠀⣽⣦⡄⢹⣷⠀⠀⣻⢠⡟⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣮⣙⡛⣿⠿⣿⡿⠀⣰⢿⡏⠋⣿⠈⠀⣿⠹⣿⣿⡿⠿⠟⠁⢿⣿⣿⣿⠀⠀⣠⡿⠀⠀⠙⢿⣿⣿⣶⣶⣶⣶⡿⠟⠁⠀⠀⠀⠀⠀⠀ ⡀⢐⣿⡀⢾⢻⣟⣳⣿⡏⠀⠀⢸⣿⣄⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⡏⠀⡇⣾⠀⢠⡿⠦⣄⣿⠀⠀⠀⠀⠀⢠⡖⢦⣙⣿⡿⠿⠿⠛⠁⠀⠀⠀⠀⠉⠙⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⠨⢸⡇⠈⢧⣬⡵⠟⠀⣀⠀⠸⡷⣿⢿⣿⢿⠿⡿⣿⡿⣿⣿⣿⣿⣷⣶⣶⣾⣡⡇⠀⠙⢿⣳⠼⡦⠆⣹⣿⠀⠀⠀⣴⠚⠻⡄⠀⣧⣴⠛⣻⣷⡀⠀⠀⠀⠀⣀⣠⣤⣤⣀⠀⣠⢶⣻⡿⣿⣷⣄⠀⠀⠀ ⠅⠀⢸⣧⠀⠀⣇⣀⣚⣼⣟⣿⣻⣻⣿⡿⣹⣿⣿⣽⣯⣿⣼⣟⣷⡤⢨⡽⢿⡄⢀⡴⢻⡆⠀⠈⠓⣶⠚⠃⣿⠀⠀⠙⠻⣝⣶⣽⣄⣿⡿⠋⣹⠿⣽⣶⡄⠀⡼⣯⠟⠓⢦⣝⠛⣥⠟⠅⠀⠀⢹⣾⡆⠀⠀ ⡀⠐⢸⡏⠻⣦⡈⠉⢉⠉⠉⡉⢹⣿⣷⣜⣳⣮⣿⣿⣿⣿⣿⠾⣿⣿⣿⣖⠒⠓⠚⠓⠾⣤⣤⣤⣤⠟⠀⠀⣿⠀⠀⢠⣾⠯⠬⣥⣉⠉⢙⡞⠁⠀⠀⠈⠁⠘⢿⣷⠀⠀⠈⢻⣷⡟⠈⠱⣾⠴⣾⣼⠇⠀⠀ ⠀⠀⠸⡇⠄⠈⣷⡤⠨⠀⢠⣄⣬⣯⣾⡛⢻⣿⠛⢏⣽⣿⣿⣿⣿⣥⣤⡉⠛⢦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⠀⠀⠛⠁⠀⠀⠀⠹⡆⠀⡇⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⡏⣿⠀⠀⠙⠛⠋⠁⠀⠀⢀ ⠁⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠙⢻⡟⡖⣼⣿⢻⡟⠋⠉⠉⠛⢻⣿⣦⡄⠙⢳⣤⣤⣤⣤⠀⣴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢠⣿⢲⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⢻⢸⣤⣤⠀⠀⠁⣴⣦⣴⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⣼⣿⠃⣾⠀⠀⠀⠀⢶⣄⠈⠙⠳⢆⠀⠙⠯⣉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣿⣾⠿⠛⠉⠛⢿⡲⣄⡀⠀⠀⠀⠀⠀⣾⢾⡿⢿⡳⣤⣛⣯⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⣿⠀⢸⡄⠀⠀⠀⣸⠋⢷⠀⠀⠀⠙⢤⡀⠈⠙⠶⣄⡀⠀⠀⠀⠀⠀⣀⡴⣾⢗⡻⠟⠁⠀⠀⠀⠀⠀⠙⠦⣙⠲⠤⠤⢶⢛⡷⠛⠀⠀⠹⠦⠭⠿⠛⢹⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⢿⣿⣦⡀⠉⠛⠚⣛⣧⡷⢸⡇⠀⠀⠀⠀⠙⠲⢤⣀⠀⠉⠓⠲⠤⣶⣾⢿⣫⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠒⠚⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠈⠻⣿⣿⣿⣿⣿⣿⠟⢁⡾⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠚⠳⠟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣤⣀⣀⣉⣉⣁⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡤⠤⠤⠊⠉⢉⢁⣄⡞⠄⢚⡄⠀⠀⣠⢎⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⡴⠒⠉⠀⠀⠀⢰⠔⠓⠳⣜⠡⣦⠀⣣⣀⢸⠀⠀⢸⠩⠋⠀⠀⠀ ⠀⠀⠀⠀⠐⠁⡑⡀⠀⠀⠀⡇⠀⠻⠿⢸⡈⠉⡜⠁⡸⠈⢣⢀⢦⠃⠀⠀⠀⠀ ⠀⡠⡀⠀⡆⢇⠅⠈⠢⠀⡔⠊⠐⠤⠔⠋⠀⠩⠔⣚⠖⠀⠈⡎⠎⠀⠀⠀⠀⠀ ⢸⣹⠝⣄⠉⢢⡀⠀⠀⡣⡈⠀⠐⡂⠤⢤⠐⢲⢌⣨⠆⠠⢄⡏⡆⠀⠀⠀⠀⠀ ⠈⠁⠉⠚⢕⡢⢕⢢⢄⠁⢡⠀⠤⡈⢆⡠⠶⠛⡆⡸⠀⡈⢠⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⡮⠇⠑⡀⢃⠑⢒⠀⠈⠉⠉⠉⠀⠀⣑⣊⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⡖⠓⠬⢆⣈⠥⠤⠔⣲⠿⡫⠿⣥⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠉⠐⢺⠀⢲⣤⡍⠾⣀⠟⢘⡫⠝⡤⠀⠀⠀⣀⡀⠀ ⠀⠀⠀⠀⠀⢀⣤⣤⡷⡎⡵⠢⣸⣀⡈⠤⠤⠒⠚⠉⠉⠢⣘⠮⢑⠄⡘⢿⣼⠀ ⠀⠀⠀⠀⠀⠘⠛⢣⠽⢐⠝⠒⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⣿⣟⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⠛⠛⠻⠇⠒⠒
⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⣀⠀⠀⠀⠀⢀⡀⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣧⣀⣀⣿⣧⣀⣼⡟⠀⠀⠀⠀⠹⣧⣀⣀⣿⣇⠀⣰⡷⠀⠀⠀ ⠀⠀⣰⠟⠉⠀⠀⠀⠀⠈⠙⢷⡄⢀⡴⠚⠉⠀⠀⠀⠀⠉⠻⣇⠀⠀⠀ ⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⢸⠁⠀⠀⠀⠀⠀⡴⢋⣭⣽⣷⠀⢷⠀⣰⢚⣭⣽⢣⡀⠀⠀⠀⠘⡇⠀ ⢸⡀⠀⠀⠀⠀⠈⣇⢿⣿⣿⣿⠀⡾⠀⢧⢿⣿⣿⢇⡇⠀⠀⠀⢀⡇⠀ ⢸⣧⣤⣤⣤⣀⠀⠈⠓⠾⠒⠁⣰⣇⠀⠈⠓⠾⠶⠛⠀⠀⣀⡤⠼⢄⠀ ⢸⠁⠈⠠⠄⠛⠳⣄⠀⣀⡤⠞⠁⠈⠳⣄⡀⣀⣠⠴⠖⠋⠁⠀⠀⣰⡇ ⠀⠀⠐⢲⡶⠄⠠⠟⠉⠉⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⢀⣀⣠⡴⠾⠋⠀ ⠀⠀⠀⢸⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⣋⡉⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣶⡶⠶⠶⢶⣶⣶⠶⠒⠒⣶⠛⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⣸⣿⣿⣀⣀⣀⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢷⣄⣀⡀⠉⠀⠀⠉⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⣤⣈⣉⣙⡛⠛⠛⠛⠛⠉⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠙⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⢀⣠⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡖⠒⠒⢾⠛⠋⠉⠛⣛⠛⢫⣏⠉⣽⡛⠉⢉⡉⢻⣯⠛⣥⠀⠉⢋⣀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣧⡀⠀⢰⠋⢧⠀⠀⠘⢶⣤⠿⠛⠿⣅⠀⢈⡿⠋⠉⠙⠳⣄⠀⠸⡾⠉⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠩⢧⠀⠸⣄⡼⠀⠀⢀⡞⢁⡤⠤⣄⠈⠳⣾⣠⣞⡳⣄⠀⠘⣆⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡏⣼⠙⡿⣆⠀⢸⣦⠀⠀⢸⠀⣼⣴⣿⡾⡆⠀⢿⣿⣿⣿⢾⠀⡰⠟⠉⢳⡄⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠃⣿⠀⢹⠘⡆⠘⠋⠀⣀⣸⣦⣼⣌⣛⣱⠃⠀⢸⣿⠮⣧⣾⠎⠀⠀⢀⡾⠟⡆⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣄⢻⡀⡼⠀⢧⠀⠀⡾⠳⣶⡈⠋⣿⠉⠀⠀⡠⠏⠈⠗⠋⠀⠀⣀⡴⢻⣿⠀⠃⠀⢸⡆⢀⣀⡀⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠉⢠⡶⡾⣧⠀⠙⠀⠈⣟⠪⣍⡓⠒⠉⠀⠀⠀⠀⠒⠚⠉⣡⠴⠋⢸⡀⠀⠀⠸⡟⠉⠀⠙⣟⣩⠭⣍⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠽⣄⡀⢳⠇⠈⡇⠀⠀⠀⠸⡄⠀⠉⠓⠒⢶⣤⡤⣶⣶⠚⢻⡀⠀⠀⠀⡇⠀⠀⠀⢹⡄⠀⢀⡿⠀⠀⢸⡼⡄⠀⠀ ⠀⠀⣤⢶⡶⠒⠲⢲⠿⢤⡀⠉⠳⣄⠀⢻⠀⠀⣀⡀⠸⡄⢀⡠⣤⣼⣷⣀⣿⠸⠶⠶⠇⠀⠀⠀⡇⢰⠛⢢⢨⣿⠛⠉⠀⠀⣠⡴⠿⠷⢶⣄ ⠀⢠⡇⡾⠉⠉⠉⠉⣯⡙⠂⢀⣠⣾⡟⢮⣧⠀⢧⡇⠀⠹⣏⠀⢸⠈⣦⠀⠈⢳⡀⠀⠀⠀⠀⠀⡇⢸⡀⢸⡏⣿⠀⠀⠀⠀⢯⣲⢤⢠⣸⡞ ⠀⢸⡇⣿⠀⠀⠀⠀⠈⠉⠉⢉⢷⠀⡃⢸⠘⡄⠀⢀⣤⡀⠘⢦⠈⠛⠁⠀⠀⠀⡇⠀⠀⠀⠀⢰⠃⠀⠙⠋⠀⢻⡄⠀⠀⠀⠀⠉⠳⠾⠛⠁ ⢀⣸⠷⠓⠲⢤⠀⠀⠀⠀⠀⠀⢸⡀⢧⡜⠀⢧⠀⡏⠀⢳⠀⠀⠳⢤⣀⣠⠤⢤⡗⠚⠲⡄⢠⠏⣠⠀⡖⣆⠀⢸⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣁⣀⢰⣆⡼⠃⠀⠀⠀⠀⠀⠈⢿⡁⠀⠀⠘⡆⢳⣄⣽⠀⠀⠈⠳⢍⡓⠦⠤⣤⣤⡤⢿⣫⠞⠁⠀⠓⠃⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠳⠽⠴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢸⣳⠐⣧⠀⠀⢀⣀⣀⣀⣀⣀⣩⣷⣶⣶⣶⣶⠿⠧⣤⣤⣤⡤⠤⢤⣤⣼⠀⣰⠛⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡌⠉⢲⡾⡏⠉⠉⠀⠈⠉⠉⠉⠓⠲⡼⢻⠷⣏⠳⠚⣉⣁⣀⣠⣤⣤⣤⣿⡾⢡⣤⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣰⠟⢁⣷⠤⠤⠖⠒⠒⢒⠒⢒⣋⣯⡟⠀⠘⣯⣯⣥⠀⠰⠶⠷⡿⢋⡟⢰⡏⡿⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠁⣠⣫⢸⠀⠘⠛⠛⠛⠛⠁⠈⠉⠉⠑⢄⡔⠁⠀⠀⠀⠀⠀⢰⠃⠸⣴⠋⣇⡇⢸⢀⡶⣶⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟⡿⠋⠈⣇⣠⣤⣤⣤⡤⠤⠤⠤⠤⠄⠚⠓⠒⠒⠒⠒⠒⠒⠋⠀⠀⢀⣼⢏⣇⣼⣾⡿⠉⣻⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⣠⠞⢁⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠉⠀⢸⣿⣿⡿⢁⡴⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣸⣶⠥⣤⠋⠀⠀⠀⠀⡷⠖⠒⠒⠒⠒⠒⠒⠛⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠘⣿⣛⣻⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⡏⠀⠀⠈⢳⠶⡦⠶⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⢷⣙⣆⠀⢠⠏⡸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⡗⠀⠹⣿⠳⢋⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠍⠀⠀⠀⢈⣓⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
.  +⠀ ⠀ ⠀˚⠀ ⣴⠟⠉⠉⠛⢦⡀⢀⣴⠛⠉⠈⠙⠻⣄ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠹⣦ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆ ⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⠀⠀⣠⡴⠛ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⠶⠋ ⠀⠀⠀+. *
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠿⠋⠉⠉⠁⠈⠈⠙⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⠿⠿⠛⠑⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣤⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣄⠉⠀⠀⠀⣀⣤⣶⠿⠛⠛⠉⠉⠉⠛⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⣻⣿⣿⣿⡁⢀⣠⣤⣴⠶⠶⠷⠾⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡟⠛⣹⣿⢿⣷⠛⠋⠁⠀⠀⠀⠀⠀⠀⠙⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠿⢻⣿⣾⠋⢡⡾⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢸⡟⠁⠀⡼⠁⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠿⣦⣤⡤⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⣄⠀⠀⣠⡶⠶⠶⢤⣄⡀⠀⠀⢠⣿⣯⣄⠀⠀⠉⢿⣯⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⢨⣟⢲⣾⠏⠀⠀⢀⣶⢿⣿⣆⠀⢸⣿⣿⣾⣷⡀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡟⠀⢤⣭⣿⡟⠀⠀⠀⠿⠿⣿⣿⣿⣧⢿⣿⣿⣿⣿⣿⣆⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⡇⡇⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠃⣷⠀⠀⠀⢿⡟⣿⣿⣿⣿⣯⠙⢿⣿⣿⣿⠟⢀⡴⠟⠛⢾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⢹⡇⠀⠀⠘⢷⣌⠛⠿⣿⡟⠀⠘⠿⣟⣁⢠⠟⠁⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⣀⡴⠟⠒⠒⠒⠶⣍⡉⢉⣿⠇⠀⠀⠀⠈⣉⣿⣆⣀⣀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⣸⣷⣟⣁⣀⣤⣤⠴⢾⠋⠁⠀⠉⠁⠀⠀⠀⠻⣮⣂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠐⠶⠶⠶⠶⠖⠛⠉⠉⠻⣏⠉⠀⠀⢀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣍⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⢦⣤⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡏⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⣠⠏⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠿⣦⠀⠀ ⠀⠀⠀⢰⡟⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⣸⠀⠀ ⠀⢀⣤⣾⡁⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠟⠁⢀⡴⡟⠀⠀ ⠈⢻⡇⠘⠳⣤⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡖⠲⢦⣤⣤⡴⠶⠛⠋⠀⣠⡤⠖⠋⢀⡇⠀⠀ ⠀⠈⢻⣦⡀⠈⠙⠲⣦⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⡶⠶⢻⡿⠀⠀⠀⠹⣦⠀⠀⠠⠶⠚⠉⠀⠀⠀⣼⡇⠀⠀ ⠀⠀⠈⢿⠈⠛⠂⠀⠀⠘⣧⠀⠛⠀⠀⠀⠀⠀⠀⢰⡿⠒⠒⠚⠛⠛⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⣼⠁⢀⣔⢦⣴⣚⣓⣒⢦⡀⠀⠀⠀⠀⢠⠏⠀⠀⠀ ⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣶⠿⠿⠿⢏⣿⣻⣿⣿⠁⠀⠀⠀⢠⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠈⠳⢦⣄⣀⣠⡴⠋⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⢻⡿⣧⣤⣴⣾⠿⠛⠋⢹⠀⠀⠀⢀⣴⠟⠀⠙⢿⣅⠀ ⠀⠀⠀⠀⠀⠈⠳⣆⠀⠀⠀⠀⠀⠀⠈⢉⣡⡶⠚⠉⠉⠉⠉⠉⠉⠉⠉⠓⠶⣦⣄⡀⠀⠀⠘⣿⣿⡥⠿⠋⠉⠀⠀⠀⠀⡼⠀⢀⣴⠟⠁⠀⠀⠀⠀⣹⠆ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⢤⣀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⣴⣛⣀⣀⣀⣀⣠⡤⠾⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠦⣼⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠙⣦⡀⠀⠀⠀⠀⠀⢀⣴⠏⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠘⣷⡤⠴⠒⠚⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠲⠶⠶⠶⢤⣤⣤⣤⣤⣤⣤⣤⣶⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ε٩(๑⌓̈๑)۶з
⠀⠀⠀⠀⠀⡤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠤⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⢱⠀⠀⠀⠀⠀⠀⣠⡴⠊⠁⠀⠀⠀⢀⡰⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠈⡆⠀⠀⢠⠒⠈⢣⠠⢄⠹⠀⢠⠖⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠁⠀⠀⡇⢄⡠⡇⠐⢻⢡⡤⢀⠂⢠⠃⠀⠀⠀⣀⠤⢶⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⣧⠈⠳⢌⡀⠙⠄⠠⠊⢀⠇⠀⣀⠔⠊⠁⢀⠞⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⡠⠋⠀⠀⠀⠈⠉⠀⠈⠁⢸⡤⠊⠁⠀⠀⢀⠎⠀⠀⠀⠀ ⠀⠀⠀⠸⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢔⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠇⠑⢕⡬⢓⠀⠀⠀⠀⠀⠀⣀⠠⡐⢝⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡜⠉⠲⣄⢣⡎⠑⢦⡉⢉⠍⠉⠐⠂⠁⠰⣁⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡀⠀⠀⣨⠆⣉⠶⢎⣀⡀⠀⢀⣠⡀⠀⠰⡈⡠⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠳⣄⠀⡏⠉⠁⠀⠀⠀⠀⠉⠀⠀⠙⠒⠖⡉⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠂⠤⠛⠛⠛⠻⠇⠀⠒
⠀⠀⠀⡀⠀⣀⡀⠀⣀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⡅⡵⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡄⡄⢀⠎⢉⠑⠢⡦⢔⣒⠙⠃⠀⠀⡇⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⡇⠀⠘⡀⠨⠿⠴⠧⠏⠧⠃⡀⠀⢈⠤⢔⠬⠒⠱⠀⠀ ⠀⠀⠀⡈⠀⠉⢊⡶⣂⠁⠐⠁⠒⠎⠀⠐⢜⠠⠜⠀⢐⡇⢓⡄ ⠀⡄⡊⢹⣀⠈⠈⠂⠑⠀⠄⠀⠀⠀⠀⠄⡼⠀⠀⠀⠈⠘⠈⠀ ⠀⠍⠮⣸⡟⠋⢰⡀⢀⣀⣀⣀⡀⣀⣀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠐⠈⠒⠈⠭⣾⣯⢩⣶⡵⢮⣵⡦⣥⣤⣽⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⡤⠤⡄⠀⠁⠎⢀⡁⠋⣯⣯⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢐⣺⣶⠀⠀⠀⠀⠀⠀⣩⣽⠖⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠁⣿⠃⠀⠀⠀⠀⠀⠫⠝⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⣄⠀⠀⠀⠀⣀⣠⣠⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡿⣆⠀⠀⣀⣸⣿⡟⠈⣿⣿⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣼⣶⣿⡿⠿⠿⠷⣶⡟⣳⠖⠋⠁⠀⠀⠈⠙⣟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠖⠒⠒⠚⣻⠟⠁⠀⠀⠀⠀⠀⠈⠳⡀⢀⣀⠤⠴⠒⠒⠚⠓⣲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠉⠘⡆⠀⠐⡼⠁⠀⢀⡤⠚⠉⠁⠀⠈⣙⣻⣥⣀⢀⣠⣶⠿⠛⢛⣉⡩⠽⢷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡟⠉⠀⡤⠦⡄⢹⠀⢴⠁⠀⠐⠋⠀⠀⣀⣴⡾⠟⠛⠉⣉⣹⣿⣉⡤⠖⣹⣿⣿⣿⣦⣠⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣧⠀⢸⠀⠀⡇⢸⡀⡏⠀⠀⠀⠀⣠⣾⠟⠁⣀⣤⣶⣿⣷⣄⢀⣇⣀⣀⡿⠿⠟⠋⣩⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡀⠈⠳⠚⠁⠀⣷⠁⠀⠀⠀⠾⠯⠥⣖⣉⠁⣿⣿⡿⠾⣏⡽⠋⠀⠀⠀⣀⡠⢶⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⣀⡀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠑⠛⠛⠛⠃⢀⡽⠋⠀⠀⠈⠉⠉⠁⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠸⡿⡃⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣇⡴⠋⠙⣧⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⠤⢴⣚⣭⣾⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁⠀⠀⣾⢦⢿⠀⠀⠀⠀⠀⢀⡤⠖⣛⣛⣉⣉⣉⣉⣭⣭⠥⠶⠖⢛⣋⣭⣶⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣴⢶⣄⣠⣟⣾⠘⠀⠀⠀⠀⠀⢸⣀⣋⣩⠥⠭⠤⠴⠶⠶⠞⠓⠛⠋⠉⣡⠞⢿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⢇⣿⠚⠛⠚⠃⢸⠀⠀⠀⠀⠳⢄⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢺⠁⠀⠀⠳⣽⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⠏⣯⠀⠀⣀⠀⠈⡆⠀⠰⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠆⠀⠀⠀⠈⢯⣳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⠏⠀⢸⠀⠸⡿⠀⠀⡿⠀⠐⠀⠀⠀⠀⠀⣀⣀⢀⣀⣠⡤⠤⢤⠴⠒⠛⠋⠀⠀⠀⠀⠀⠀⢳⠹⣒⡶⢖ ⢀⡀⠀⠀⢠⡿⡞⠀⠀⠸⣧⠤⠤⡠⠤⣧⣠⠴⠒⠒⠲⢾⡉⣩⠋⢻⣿⡉⢑⣖⣡⣤⣤⣶⡆⠀⠀⠀⠀⠀⠀⢸⡀⢷⣿⠁ ⠸⣯⣓⠊⡿⢾⠀⠀⠀⠀⣷⣄⣀⣀⣀⢸⡀⣀⣀⣠⣤⣤⢿⣷⣶⡏⠈⣿⣿⡿⠿⠿⠟⢻⡇⠀⠀⠀⠀⠀⠀⠀⡇⡈⡏⢇ ⠀⠀⡞⠀⠇⢸⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣫⣿⣿⡿⠿⠿⠘⠟⠋⢓⣾⠋⠀⠀⠀⠀⣀⣼⠇⠀⠀⠀⠀⠀⠀⠈⢧⣷⠟⠟ ⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡀⠄⠂⠈⠁⠀⠀⠉⠁⠒⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠐⠉⠀⠀⠀⠄⢀⠠⠐⠒⠂⠀⠀⠘⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠜⠀⠀⠀⠀⠀⠀⠀⠁⡠⠐⠈⠉⠉⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠔⠈⠁⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠂⠙⢅⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⢺⠁⠀⠀⠀⠈⡆⢀⠀⠘⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⠐⣀⡠⡜⡖⢲⢰⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠒⠉⠀⠇⠇⡏⠈⠓⠪⢉⠑⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠒⠀⠀⠀⠐⠐⣆⣀⠀⠣⢄⡀⣀⠜⠈⠆⠀⠀⠀⠱⡅⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠆⠁⢀⠀⠈⠁⠀⠀⢀⡀⠤⢺⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠦⣀⠋⠁⠁⠉⢉⣀⣀⣀⡤⠤⡄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⢃⠀⠱⡀⠀⠀⢠⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠸⡄⠀⠈⠑⠒⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⢣⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠙⢄⡈⣆⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠔⠙⠦⡀⡱⣼⡏⢏⠢⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⠀⠀⠀⠀⡀⠈⠁⠈⠀⢸⡀⠀⠈⡴⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠁⢑⡄⢀⢼⠀⠀⠀⠀⠀⠀⡏⠢⠴⣀⠈⠂⢄⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⢀⠔⠁⠉⠁⢸⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠑⠠⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠤⠤⠤⠤⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠰⡜⢠⠂⠀⠀⠀⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⡀⠀⡇⣎⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠹⡄⠀⢠⡤⠴⠚⢧⡀⠁⣮⣴⣦⣀⡀⢠⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠈⠶⢸⡋⠹⠿⢋⡇⠀⢿⡛⢿⣿⣷⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⡞⠀⠀⠀⠀⠈⢉⠩⠟⠀⠀⠀⡿⠮⠉⠀⠙⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⠀⢧⡀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⡇⠀⠀⢀⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠉⢹⠒⠢⢤⠀⢀⣾⢶⣆⠀⠀⣿⠀⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⢸⠀⠀⢸⠀⡜⠀⠀⣠⣍⣭⡈⡆⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡤⢤⠏⠀⠀⣸⠀⠀⠀⠀⠃⠰⣯⠴⠧⢾⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⠴⠒⠋⠉⠁⢰⠋⠀⠋⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠈⢲⠒⠚⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡴⠟⠉⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠢⠤⡀⠀⠙⣆⠀⠀⠀⠀⠀⠀ ⣞⣁⣤⣄⣀⣀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠙⠲⠤⣀⠀⠀⠀⠀⠀⠀⣁⢀⣀⡼⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠸⡄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⡶⠀⠐⠚⢹⠍⠀⠀⠈⠋⠳⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠄⠀⠙⢆⢓⡇⡠⡀⠀⠀⠀⠀⠀⠀⢚⡁⠀⠀⣠⣎⠀⠀⠀⠀⠀⠀⠹⢷⡀
⠀⠀⠀⠀⢀⣀⣀⠀⢀⣀⣀⣀⣀⠀⠀⣀⣀⣀⣀⠀⠀⢀⣀⣀⣀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠉⠉⣛⠉⠉⠁⠀⠉⠉⠉⠉⠁⠈⠉⠉⠉⠉⠉⠀⠈⠉⠉⠉⠉⠉⠉⠛⢛⠛⠋⠙⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡆⢸⠉⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣻⠀⣰⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⡇⠈⠓⠛⠀⠀⠀⠘⣻⡶⣤⣀⡀⠀⠀⢀⡀⠀⠀⠀⠀⣀⣀⣤⣤⠄⠀⠈⠉⠀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡇⠀⣦⡀⠀⠀⣠⡞⠁⠀⠀⠉⠙⠳⣦⣼⣤⣴⠶⠟⠛⠉⠉⠙⢦⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣷⠀⠓⠃⠀⠀⡟⠀⠀⣰⢟⣭⡛⣄⠀⣿⡏⢀⡖⣻⡛⢦⠀⠀⠈⡇⠀⠀⠀⢀⡟⠀⠀⠀⠀⢀⣀⡤⠶⢶⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠰⣧⠀⠀⢿⡈⠿⣇⡟⢀⣿⣧⡸⣄⠻⣏⣿⠀⠀⢀⡇⠀⠀⠀⠀⣇⣠⣤⣤⠞⣉⡤⠔⢳⠈⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡄⠀⡀⠰⣄⠘⢦⡀⠀⠉⠉⠉⣠⡟⠁⠀⢳⡈⠛⠋⠁⠀⣠⠟⠁⡀⠀⠀⢰⡿⠁⠀⢻⡞⠉⠀⠀⠈⣇⠘⣆⠀⠀ ⠀⠀⠀⠀⠀⢹⠇⠈⠃⠰⠆⠙⠦⢭⣓⡒⠒⠚⠉⠳⠄⢠⠟⠙⠓⠒⠒⣛⠗⠀⠀⣁⠰⢆⡾⠁⠀⣀⣼⠇⠀⠀⢠⡶⢺⠀⠻⠲⣄ ⠀⠀⠀⠀⢀⣼⡄⠀⠀⠀⠀⣠⠴⡾⠛⠛⡶⢶⢄⡀⠈⠁⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠈⣷⠒⠋⠉⠀⠀⠀⠀⠘⣷⠿⠀⡀⣤⣼ ⠀⠀⣠⡶⠋⠉⢷⠀⠀⠐⠛⠁⠘⠳⠦⡼⢁⡞⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢤⡀⠀⣿⠄⠀⠀⠀⠀⠀⠀⠀⠙⠦⠾⠴⠛⠁ ⠀⡾⢁⠀⠀⠀⣿⡀⣶⡄⠀⠀⠀⠠⠤⣄⣉⠉⠓⠋⠘⣆⠀⠀⠀⠀⠀⠀⠀⢸⣁⣰⠃⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⡞⢹⡧⠀⣼⡇⢸⣷⡤⠤⣄⠀⠀⠀⠈⠳⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⢸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡞⢀⠟⠲⢚⣡⡷⡞⠉⠀⠀⠈⣇⣀⣀⣀⣀⡀⠀⠀⣀⣀⣀⡀⠀⠀⠀⢀⣀⠛⠃⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠾⠒⢊⣩⡥⣿⢳⣦⣀⡷⣿⠟⠲⢤⣀⣩⠿⡟⠛⣹⠿⡍⠉⣉⠿⠛⠉⠉⠛⠳⢶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠓⠚⠉⠉⠀⠀⣼⡖⢛⣛⣛⣓⡒⠒⣒⣛⣓⣒⣿⠛⢧⡤⠼⠯⠥⠤⠤⠤⠤⢤⡤⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠛⠛⠛⠛⠃⠀⠛⠛⠛⠻⡅⠀⢈⡟⠛⠛⠇⠀⣻⡿⢿⣿⡿⠞⠲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣧⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣈⣶⣏⣀⣀⣀⡀⠞⠁⢸⣉⣤⢴⣧⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⣸⠇⠀⠀⠀⠀⠉⠉⠉⠉⠉⠻⢤⣄⣀⠘⣯⠟⣿⣢⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠋⣿⠛⣫⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢁⡞⢁⣟⣷⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⣷⣞⡡⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡿⠏⢀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠚⠉⢰⣯⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠛⢻⣵⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣉⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣉⡉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⡼⠿⢖⢦⡀⠀⠀⠀⠀⠀⠀⡴⢛⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡌⢳⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡄⡇⢀⠀⢳⢳⡀⠀⠀⠀⢠⠞⣡⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠙⢆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡇⢻⣞⢷⢀⠻⡷⣄⠀⡴⢋⡼⠃⠀⣀⣀⠀⣀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⡴⢋⣹⣽⣏⡋⠀⣹⣯⠩⡯⠍⠉⠉⠻⠷⠎⢉⡵⠋⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠟⠉⠀⠀⠦⠤⢀⡹⠟⢛⣿⠀⠺⠯⠭⠓⠀⢀⡤⠎⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠉⢑⣯⠉⠉⠒⢹⣥⣤⣴⠿⠉⠉⠑⣉⡭⢭⣉⠉⢣⠀⡞⢹⠄⣧⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡽⣆⡿⠴⣆⡀⠀⠀⠉⠀⠀⠀⠐⣏⡼⠧⠾⢌⠁⢺⠈⠣⠜⠀⢻⣀⠀⠀⣀⣠⢞⡍⣇⣀⣀⣀⣀⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⣷⣶⡄⠀⢱⠀⠀⠀⠀⠀⠀⣿⠁⠀⢠⣶⣦⣣⠈⢣⠀⢰⡷⠀⣿⠟⠉⠉⢷⣿⢠⣯⡿⣯⣤⣤⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡛⠛⠁⣠⠞⡠⣀⠀⠀⠀⠀⡹⣄⡀⠈⣛⡿⢃⠀⠸⡇⠀⠀⣤⠇⠀⠀⣠⣾⡏⢸⢿⡼⣸⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣯⠤⠊⢡⠇⠀⠀⠀⠀⠀⠈⠓⠒⠒⠊⠁⠠⠀⠙⠆⢸⣟⡆⠐⠻⢿⣿⣧⡸⢋⣴⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⠀⣀⠴⠃⠀⠀⠀⠀⣀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠸⣄⠉⠀⢰⠇⢸⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⢀⣴⣾⡿⠟⠛⣉⣉⠥⠀⠀⠐⠀⠀⠀⠀⢱⡀⠀⠀⠀⡇⠈⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡯⠽⠛⣧⠀⠀⢠⣿⣋⣥⣶⣋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣆⣤⣷⡶⠿⠭⠿⠿⣿⡿⠿⠿ ⣒⡀⠀⣀⣀⣈⣉⣁⣀⣀⣐⣀⣀⣀⠀⢘⣧⣠⣏⡀⠀⠀⠀⢸⣿⣿⣶⣶⣶⣶⣶⣶⣖⡒⣶⣾⣿⣿⣿⣟⠉⠀⠀⠒⠂⠀⠒⠒⠒⠂ ⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠀⠀⠀⠀⢠⣞⣵⣚⣿⡋⠁⠀⠀⠀⠀⠀⠀⡟⣼⠛⠛⠉⠁⠉⠉⠉⠀⠀⠀⠀⠈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠉⢻⣿⣒⣟⡋⠳⣾⡛⢙⣻⣶⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢷⣿⣿⠏⠉⠉⠙⢷⣽⣿⣌⠻⠿⣿⠥⣀⣈⡙⠻⠶⠶⠶⠶⣤⣀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠾⠧⠬⠿⠁⠤⣄⣀⣀⣀⠀⠀⠙⠻⠟⠻⢶⣌⣿⣿⡿⠀⡀⠾⢿⣇⡽⠯⣭⡿⠛⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⠀⠛⣷⣤⣄⣀⣀⠈⠛⠻⠯⠽⠽⠇⠀⠀⠀⠀⠀⣡⣤⣈⠛⠚⢻⡿⠚⢿⣀⠀⠀⠀⠠⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡉⠙⢦⣠⣿⣹⡮⡿⢉⡟⣻⣶⣖⠒⠲⣶⠲⠶⠶⠀⠀⠻⣿⣿⣷⠄⢸⠀⢰⣿⣿⣿⣆⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⡙⢷⣍⠉⢁⣸⠈⣿⣿⡿⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⢸⡆⢸⣿⣿⣿⣿⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡶⠛⠛⠛⠿⠿⠿⢭⣷⣀⠀⠀⢀⣠⣯⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠈⢻⣿⣿⡿⠁⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⣟⣋⣭⣭⡴⠦⠦⠦⠦⢤⣤⣤⣈⡙⠻⣯⡛⠩⠄⠺⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠈⠁⢠⣦⣄⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⣶⠉⠁⣿⡏⠀⠀⠀⠀⠀⣼⣟⣀⣈⣙⡲⣄⠙⢦⡀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡧⣶⠦⢤⣜⣿⣿⣿⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⡈⠙⠒⠚⠓⠒⠒⠒⠒⠚⠉⠉⠁⠀⠈⠉⠙⠓⠂⠹⣄⠰⣿⣷⣦⠀⠀⠀⠀⠀⠀⣿⠁⢷⡀⢀⣀⠉⠛⢦⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⣿⡖⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢤⣤⣿⠄⠈⠉⠁⠀⠀⠀⠀⠀⠀⠻⣆⠀⢷⣄⠈⠙⠲⢦⣈⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠋⣁⡤⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢺⣿⣷⡄⠀⠀⠹⡟⠦⣈⠻⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠓⠒⠦⠤⠞⠋⣁⡤⠖⠋⠁⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠈⠻⠿⠃⠀⠀⠀⡇⠀⠈⠓⢦⣙⠳⣄⠀⠀⠀⠀⠀⠀ ⣀⣤⣤⣤⣀⡒⢻⡉⠀⠀⠀⠀⠀⠀⠀⠱⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⠃⠀⠀⠀⠀⠀⠀⢀⣴⣾⣶⣄⠀⠀⢹⣆⠀⠀⠀⢀⣤⣄⠀⢿⠀⠀⠀⠀⠈⠳⢬⡛⢦⡀⠀⠀⠀ ⠉⠀⠀⠀⠈⣿⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠟⣶⠶⠴⢶⣶⣶⣿⣥⣤⣤⣄⣀⣀⠀⠀⠀⠀⠙⢿⡿⠟⠀⠀⣸⠃⠀⠀⠀⢀⣻⣿⣤⣼⠂⠀⠀⠀⠀⣀⡤⠿⡟⠙⠲⠶⣤ ⠀⠀⠀⠀⠀⢿⣆⣾⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠸⡇⠀⣴⣾⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠛⠛⠓⠒⠒⠒⢿⠒⠛⠉⡉⠉⠁⠀⠀⣾⠀⠀⠀⠀⡼⠉⣴⠖⠓⠦⣄⠀⣬ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠛⣻⡷⣤⣙⣻⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⢸⡇⠀⢿⣿⠆⠀⠀⠀⢸⡇⠀⠀⠀⠧⠾⠇⠀⠀⠀⠈⢦⠹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⢋⣥⠖⠋⠁⠀⠈⢉⣿⣿⣿⣿⣿⣿⣿⡏⠉⠛⠶⠤⣤⠤⠴⠶⠭⣅⣀⣀⣞⣡⣴⠶⢦⣤⠞⠋⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⢠⣶⡶⠶⠒⠒⠋⠉⠰⡞⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠈⠳⣄⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦ ⠀⠀⠀⠀⣿⣿⣷⣀⣠⠤⠤⠶⠶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡈⠳⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣍⡀⠀⠀⠀⠉⠛⢲⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠲⠦⢤⣛⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡠⠔⠂⠉⠉⠉⠀⠂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠔⠁⢠⣶⣶⠀⠀⠀⠀⠀⠀⠈⢢⠔⠁⠀⠀⠅⠀⠀⢀⠔⠁⠀⠄⠑⠄ ⠀⠠⠁⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓⠅⡆⠈⠀⠀⠀⠌⠣⢸ ⢠⠁⢠⣄⠀⠀⠀⠀⠀⠀⢾⣷⡄⠀⠀⠐⡀⠀⠀⠀⠀⡀⠀⠘⢄⠀⠀⠀⣀⠀ ⡆⠀⠛⠃⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠈⠑⢲⠒⠹⠀⠀⠀⠀⢸⠉⡏⠀⠀ ⡇⣠⣄⠀⣰⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢣⠀⡄⠀⠀⠀⢘⠀⠇⠀⠀ ⡇⠙⠋⢀⣿⠋⠉⠙⣿⣿⡄⠀⠀⢻⣷⠀⠀⠀⢸⠀⠆⢃⠀⠀⠀⢸⢠⠀⠀⠀ ⢰⠀⠀⠘⣿⠀⠀⠀⠸⣿⣷⠀⠀⠀⠉⠀⠀⠀⢸⠀⢰⠸⠀⠀⠀⢸⢸⠀⠀⠀ ⠀⢆⠀⠀⢻⣦⣾⡀⠀⢿⣿⡆⠀⠀⠀⠀⠀⠀⡌⠀⠀⡀⡇⠀⠀⠈⠘⠀⠀⠀ ⠀⠈⡆⠀⠀⠙⠛⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠇⠀⠀⡇⢰⠀⠀⡄⡄⠀⠀⠀ ⠀⠀⠈⢆⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠰⢀⠀⠀⡇⠀⠄⠀⡇⡇⠀⠀⠀ ⠀⠀⠀⠈⡢⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⠀⢀⠤⠤⠵⠤⠇⠀⠐⠠⢀⣁⠀⠀⠀ ⠀⠀⡠⠄⠰⣀⣈⣉⡉⠙⠛⢂⣀⣀⠐⠈⠀⢀⣀⠠⠤⠄⠤⠀⣀⡀⠠⠓⠤⠀ ⠀⠀⠈⠉⠑⠤⠀⠠⢤⣀⣀⠠⠤⠤⠤⠤⠄⠤⣀⣀⠀⠤⠤⠄⠤⠐⠒⠂⠂⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⣀⣾⡿⠟⠿⠿⠿⢶⢦⠄⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣶⣶⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⣰⣰⣢⣴⣶⣶⣿⣾⣶⣶⣶⣦⣄⡀⠀⠀⠤⣿⣧⠀⠀ ⠀⠀⠀⢀⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠈⢻⣿⡿⠁⠀⢀⣀⣤⠄⣀⣤⣾⣿⠟⢿⣿⣿⣿⣷⣤⣿⣦⣤⣤⣤⣾⣿⣿⣶⣤⣀⣹⡧⠀ ⠀⠀⢰⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠙⣿⣦⣶⡿⠋⣠⣶⢿⣁⣼⣿⠿⠿⠋⠉⠉⠉⠀⠀⠀⠀⠀⠠⣄⣀⣈⣉⠙⠿⣿⡇⠀ ⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣶⣶⣶⣶⣴⣶⣦⣤⣤⣤⣄⡀⠘⠙⢷⣾⣿⡍⢀⣴⣿⣿⠿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣿⣿⡿⠃⠀ ⠀⣿⡟⠁⠀⣀⡀⠀⠀⣀⣤⡶⠿⠟⠋⠉⣿⣟⣁⣿⣿⣿⣿⣧⣈⣿⣍⣉⣉⣛⣿⣶⣤⣀⠙⢿⣿⣿⠁⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠀⠀⠀ ⠀⣿⣇⣠⡾⠟⢁⣴⡾⠛⣉⣤⣴⠶⠿⠿⠟⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠿⢿⣿⣿⠟⠛⢿⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⠀⠀⠀ ⠀⣿⣿⠏⢠⣴⣿⣯⣶⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣷⣶⣶⣴⣿⣿⠀⠀⠀⠉⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⢃⣴⡿⠟⠉⢁⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⠙⣿⡄⠀⠀⠀⠀⠙⢿⣷⣄⠀⣀⣀⣠⣤⣤⣶⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣿⡋⣀⣴⣾⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⡿⠋⠀⠀⢹⣿⡆⠀⠀⠀⠀⠀⠙⢿⣿⠻⢿⣏⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⠀⠙⠛⠻⢿⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⡿⠋⠀⠀⠀⠀⠈⢹⣿⡀⠀⠀⠀⠀⠀⠈⢿⣷⣄⠉⠻⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠉⠛⠿⣷⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣴⣶⣾⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇⠀⠀⠀⠀⠀⠀⠀⢹⣿⣆⠀⠀⠙⠻⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠻⠛⠛⠛⠛⠛⠋⠉⠁⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⠀⡀⠹⣿⣧⢀⡀⠀⠀⠉⠛⠿⣶⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⠀⠀⠀⠀⠀⠀⣠⢆⣴⡿⠃⠀⠀⠀⠀⣀⠴⢂⣠⣶⣶⠿⣿⡇⠀⠀⠀⠀⠀⠀⠘⡄⠹⣿⡟⢿⣷⣤⣀⠀⠀⠈⠙⠿⣷⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣡⣾⡿⠁⠀⠀⠀⠀⠚⣡⣶⡿⠟⠋⠈⠰⢽⣿⡀⠀⠀⠀⠀⠀⠀⠘⡆⢸⣿⡈⢿⣿⢿⣿⣦⣄⡀⠀⠈⠛⢿⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠆⣤⣾⣿⠋⠀⠀⠀⠀⠀⠸⣿⣿⢳⡀⠀⠀⠀⠀⠀⠀⠀⢻⣇⣼⣿⣿⡿⣿⣿⣿⣶⣶⣀⡀⠙⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠃⠀⠀⠀⠀⣶⣾⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣿⣷⠀⠃⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣻⣿⣿⡿⣿⣿⣿⣷⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⠁⠀⠀⠀⣴⣾⣿⣿⡏⢿⣿⣧⠀⠀⠀⠀⢀⣠⣼⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠋⠀⠀⣀⣴⣿⣿⠿⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣯⣽⢿⣯⣻⣿⣿⣿⣿⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠃⠀⣠⣶⣿⣟⠛⣋⣤⣷⡆⢸⣇⣽⣿⣐⣿⣿⣿⣿⣿⡼⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⣀⣴⣾⣿⣿⣿⣷⣶⣯⣬⣿⣧⡌⢿⠙⠟⠋⠉⠉⠉⠛⠛⢿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⢀⣾⣿⠟⠉⢻⣿⢀⣨⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡿⠿⠃⠀⠀⠀⠀⠀⠈⠈⡻⣋⣀⣀⣠⣤⣤⣴⣶⡾⠿⠿⠟⠛⠻⢿⣶⣦⣄⣤⣶⡿⠟⠁⠀⠀⣸⣿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠿⠿⢷⣶⣶⣶⣾⣾⣿⣿⠟⢻⣿⡟⠛⠛⠛⠁⠉⢺⣿⡆⠀⠀⠀⠀⠀⠀⠈⢹⣿⠋⠁⠀⢀⣠⣴⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⢿⣷⣶⣦⣀⣀⣀⠘⣿⡇⠀⠀⠀⠀⠀⠀⢀⣸⣿⣶⣶⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢲⡀⠀⢹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⣠⣴⣶⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠙⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣤⣴⣶⠿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠿⠿⠟⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠋⠀⠀⠀⠀⠀⠀⠈⠻⡄⠀ ⠀⢀⡴⠋⠉⠙⠂⠀⠀⠀⠐⠒⠒⠒⢾⡿⠁⣀⢀⣠⡴⣶⣾⣿⣗⣲⣦⣄⣻⡄ ⢀⡾⠁⠀⠀⠀⣀⣀⣤⣤⣤⣄⣀⣀⠠⢽⡛⣵⠯⠚⠋⠁⠀⠀⠀⠀⠒⢶⡽⠃ ⢸⣡⠖⣠⣖⡩⠥⠾⠚⠛⠛⠚⠒⠚⠿⢶⡽⠣⣖⠂⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀ ⢸⣡⠟⣋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⠟⣇⠀⠈⠳⣄⣀⣠⡤⠖⠋⠁⠀⠀⠀ ⠄⠓⠾⣍⡀⠀⠀⠀⠀⠀⠀⢀⣠⡞⠉⠀⠘⡇⠀⠀⠘⢯⠓⢦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠓⢒⠒⠒⠒⠚⢩⡟⠀⠀⠀⢀⣿⠀⠀⠀⠘⢷⣀⡉⠓⠦⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣰⠏⠀⠀⣪⠖⠋⢹⣇⡀⠀⠀⠎⣏⣿⣶⣤⣈⠛⣆ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⣰⣾⣿⠀⠀⠀⣿⠁⠀⠀⠀⢹⣿⣻⣿⣿⣷⣾ ⠀⠀⠀⠀⠀⠀⠀⢠⡞⢁⣤⠾⣫⢿⢿⢷⣶⣾⣿⣄⠀⠀⠀⠀⣿⣯⣿⣿⣿⠟ ⠀⠀⠀⠀⠀⠀⣠⣯⣴⡿⠛⠚⠻⢎⠟⢉⣉⣙⣿⠿⣄⣀⣀⣴⠟⢹⣧⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⣿⠛⠛⠒⠲⠾⠾⣿⣉⡉⠉⡇⠀⠀⠀⢹⣍⣤⠶⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠐⠀⠹⣆⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⢀⡴⠆⠀⠀⠀ ⠀⠀⠀⠀⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠴⠖⠚⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⣄⠀⠀⠀⠀⠀⠱⡽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⢆⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠹⡜⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢡⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⢹⡸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⢧⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⡄⠀⠈⣄⣠⠤⢴⠤⠤⢤⣀⠀⠀⠀⠀⡇⠀⠀⢿⢧⠀⠀⣴⣀⣸⣘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⣣⠖⠋⢯⠀⢀⣸⡦⠖⠒⠛⠛⠶⢤⣀⢱⠀⠀⣸⣼⠿⢙⡏⠀⠈⠉⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠉⢧⣠⣾⠿⠭⠭⣧⡲⢤⡀⠀⠀⠀⠈⢻⣷⣾⠿⠻⠦⢼⣷⢦⡀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⣼⠏⣡⣴⣶⢤⡀⠉⠳⣽⠆⠀⠀⢀⡾⣿⡿⠿⣭⡑⢦⠉⠢⡙⣆⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⢠⠃⢰⣿⣁⣿⣿⣿⡀⠀⠈⠳⣽⣤⣼⠀⢻⣥⣼⣿⡇⠘⡆⠀⠘⢿⣤⣄⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠸⡄⢸⡻⣿⣿⡿⣹⠃⠀⢀⣠⠿⠿⢻⡀⢯⠛⠿⠛⠁⡸⠁⠀⣀⣤⣼⡿⠇⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠱⣄⠙⠲⠤⠚⠁⣀⡴⢋⡠⠀⠀⠀⠱⣤⣙⡒⠒⠊⣁⡤⠞⠉⠀⠁⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⢠⣼⣿⣶⣶⣶⠿⠗⠚⠛⠃⣀⡴⢞⡿⠋⣹⠿⣿⣿⠛⠚⠁⣀⣤⠞⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢭⣸⡁⠈⢻⣒⣒⣲⣖⡿⠿⠦⡾⠛⠀⣃⣠⣼⣭⣿⣍⣉⣁⣀⡤⠄⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠋⠉⠉⠁⠀⠀⢀⣷⣶⣿⣯⠀⠀⠀⠀⢀⣿⠋⠀⠀⠀⢠⣏⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⡶⠛⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⣠⡖⣻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠉⠓⠲⣦⡤⠿⠋⠙⠿⣤⣀⠀⠀⠀⠀⠀ ⡇⠀⠀⠸⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡟⢶⠴⢏⣿⣟⡉⠀⠀⠀⠀⠀⣀⣀⣀⣠⣬⣿⠗⠒⣶⡄⠈⠙⢧⣄⠀⠀⠀ ⡇⠀⠀⠀⠹⡌⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣷⣤⡀⠀⠀⢸⣿⠉⠉⠉⠉⢹⣿⠀⠀⠀⣸⣿⣶⣾⣿⣿⡄⠀⠀⢿⡆⠀⠀ ⣻⣆⠀⠀⠀⣷⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⡟⠁⠈⠙⠳⢶⣾⣿⣄⣀⣠⣤⡼⢿⣶⣾⠿⠿⠿⢿⣿⡟⠸⠇⠀⠀⢸⡿⠀⠀ ⠀⠉⠳⠶⣶⠋⠀⠰⣧⠀⠀⠀⠀⣀⡤⠖⢊⡽⣿⠟⢁⡀⠀⢀⣴⠞⠋⠉⠉⠉⠛⢻⠷⠛⠉⠀⠀⢀⣠⢾⡿⠁⠀⠀⠀⣠⡾⠁⠀⠀ ⠀⠀⠀⠀⠈⢳⡀⠀⣽⡄⠀⢰⣎⠁⠀⠀⡾⢰⣯⣰⠟⢻⣶⣏⣀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣄⢠⠖⠋⣠⠞⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⠀⠁⠻⡶⠞⠋⠻⣄⣠⢷⡀⠙⠿⣄⣰⠁⠀⠈⠉⠉⣷⠒⠚⠙⡄⡜⠀⣈⡿⠖⠋⣴⠃⠀⠀⣠⡴⠋⠀⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⢹⠀⠀⢀⡿⠁⠈⢿⣦⣀⣀⣀⣉⣉⣳⣒⡒⠛⠒⠒⠒⠛⠋⠉⠁⢀⡤⠞⠁⠀⢀⣾⠟⠀⠀⠀⠹⡄⠀⠀ ⢤⣀⣀⣀⣤⠾⠃⠀⠀⠀⠸⠀⢀⡾⠁⠀⠀⠈⢳⣄⠉⠉⣉⠁⠀⣈⠙⠓⠦⠤⣤⡤⠤⠶⠚⠉⠀⠀⢠⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢈⠟⣦⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⢫⠓⢦⣜⠛⣶⡛⠳⢶⡶⠶⠶⠀⠀⠀⢀⣠⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠ ⠀⠀⢸⠀⠈⠛⠦⣤⣄⣴⠖⡿⠁⠀⠀⠀⠀⠀⠀⠀⠱⡄⢈⠛⠻⠛⠻⠯⠤⠤⠤⠖⠒⡻⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠭⠭⢭⡟⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⢫⡟⠁⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⢣⡟⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣓⠦⠤⢄⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⣠⣿⣿⣿⡏⡾⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣦⣶⣿⣯⣭⣭⣓⡒⠤⣼⣿⣿⣿⣿⣹⣧⣤⣤⣀⣀⠀⠀⣠⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠿⣿⣿⣿⣿⡿⠿⠛⠿⢿⣿⠟⣛⡭⠟⠚⠚⡏⢹⣶⣶⠟⢿⣿⣓⣪⡤⠤⡶⠲⣶⣭⣭⣛⠿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠟⠁⠹⡀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠈⣫⣀⠤⠤⠴⠒⠛⠒⠚⠛⠒⠺⢼⡥⠤⠒⠒⠓⠒⢛⡛⠓⠲⢿⣏⣁⠀⠀⠹ ⣿⣿⡿⠛⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠶⢾⡲⠆⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠐⠊⠉⣉⡷⣖⣃⣀⠬⠟⠋⠉⠁⠀⢉⡗⠒⢻⠏⢁⠀⢠ ⣿⠋⠀⢀⡴⠊⠙⣦⠀⡇⠀⠀⠀⠀⠀⠀⠑⢤⡀⠉⠉⠉⠓⠒⠒⠒⠒⠒⠒⠊⠉⠁⢦⣀⣀⠀⠀⢀⣀⣀⡤⠔⠋⢀⡴⠋⠀⠈⣾⣿ ⣿⡄⠀⡞⠀⠀⠀⡼⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⣀⣠⠤⠚⠁⠀⠀⠀⢀⣿⣿ ⣿⡇⠀⠳⢤⣤⠞⠁⢸⠀⠀⠀⠀⣴⠒⣦⠀⠀⠀⠀⠀⠀⠀⡏⠉⠉⠒⠒⡖⠒⠒⢲⠒⠒⠒⠒⠋⣿⠉⠁⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠛⠗⠋⠀⠀⠀⠀⡄⠀⠰⠧⣠⡤⠤⠤⣇⡀⠀⠾⠖⠢⠶⣒⠲⠯⡍⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠉⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⢻⣿⣿ ⣿⣿⡇⠠⣞⣿⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡀⠀⠀⠀⢀⣀⠤⠚⠀⠀⠀⠘⠦⠤⣀⣀⡠⠴⠊⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣿⣿⡇⠀⠈⠁⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⣿⣿⣿⣇⠀⠀⠀⣠⢤⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠸⣿⣿ ⣿⣿⣿⣿⠀⠀⡞⠁⠀⣧⠀⡇⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠈⢹⠀⠀⣿⣿ ⣿⣿⣿⣿⠀⠸⡇⠀⢀⠏⢠⠇⠀⠀⠀⠀⠀⢿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⢀⡜⠀⢠⣿⣿ ⣿⣿⣿⣿⠀⠀⠈⠉⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⢄⣀⡤⠞⠀⠀⣸⣿⣿ ⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣠⠔⠲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣠⠊⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿ ⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⠀⠀⠀⠀⠀⢠⣿⣿ ⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⢳⠀⠀⠀⠉⠓⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⣄⣀⣤⣀⣸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣶⣶⣤⣤⣄⣀⣀⣠⣤⣤⣤⣤⣠⣤⣤⣤⣤⣤⣶⣶⣾⣷⣶⣶⣶⣶⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿
⠀⠀⠀⠀⢸⠃⢐⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠄⠘⠧⡀⠀⠀⠀⠀⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣁⠀⡀⣀⣰⠀⢀⠐⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⢀⠀⠀⠐⠻⠿⠸⠞⠟⢀⠁⠀⠀⠀⠀⠀⠄⠀⠠⠀⠐⠀⠀⠀ ⠘⡈⢄⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⢠⠀⠀⡄⠀⠀⠀⢣⠀⠀ ⠀⠈⠂⠼⡇⠀⠀⢲⠘⢧⠀⢂⠀⠀⠐⠀⠀⠁⠒⠀⢀⠃⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠰⠄⠀⠄⠀⠀⠀⠀⠑⠄⣀⣀⠠⢦⢀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣢⣄⠀⠀⠀⠀⠀⠀⠀⠆⠀⠘⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣅⣁⢈⣭⣿⣷⣾⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⣖⣦⣤⣲⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣯⡿⠟⠋⠉⠻⡟⢟⡽⣗⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⢞⢝⣍⢿⣹⡿⠳⣛⣋⣓⣩⣲⡤⡀⠀⠀⠀⠀⠀⣰⡿⣣⠟⠁⠀⠀⠀⠀⠀⠘⢑⡻⣟⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⣿⣽⡿⣿⣟⡁⠀⠀⠀⠉⠉⢻⣟⠋⠝⢓⢤⣠⡴⣶⡿⣟⣭⣓⠖⠢⣤⣀⣀⣀⣬⡶⣻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣹⣫⢿⡇⣃⠴⡀⣀⡠⠤⠶⠒⣺⠿⣟⢸⣯⣃⣳⡾⡲⠷⣮⣥⣼⣮⣤⣥⣾⣿⣿⣻⡿⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢘⠣⣿⣿⣶⣾⣿⣷⣶⡂⢩⡭⢊⣽⣿⡿⠿⠿⢿⣦⣴⣙⠈⠙⠏⠉⠋⠉⠀⠩⠀⠂⠀⢀⣤⢤⣤⣤⣂⣅⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠉⠉⠙⠟⡟⢛⠋⡵⣻⣿⠏⠀⠀⠀⠘⢿⢯⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⠖⣫⠵⢏⣽⣿⣿⡧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⣩⢅⡏⠀⠀⠀⠀⠀⠈⠫⣳⠄⢹⡆⠀⠀⠀⠀⣢⣴⣿⣿⣿⠟⠁⠈⢿⢿⡿⠄⠀ ⠀⠀⣰⣾⣏⣩⣉⠰⣄⠀⠀⠀⠀⣠⢖⣴⢟⠎⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣾⣿⡀⠀⢠⣾⣿⣿⡿⠟⠁⠀⠀⠀⣸⣾⠣⠂⢀ ⠀⣰⡇⠈⠙⠤⣽⣿⣹⣷⣤⣈⣴⣩⡤⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠛⠛⡫⠁⠀⠀⠀⣀⣴⣾⡿⠃⠁⠀⠘ ⢰⣿⣹⡄⠀⠀⠀⠉⠛⠻⠿⠛⠋⠉⠂⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⡀⣤⡶⠁⢼⣿⠃⠀⠀⠀⠀ ⢹⡇⠂⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡁⡆⠡⣬⣧⣀⡜⠁⠀⠀⠀⠀⠀ ⠀⠱⡄⢂⠣⠀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢶⠃⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠢⢀⣙⠿⣿⡿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡾⡄⠀⠀⠀⣀⣀⠀⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠈⠑⠊⠁⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢿⣿⣿⡶⡤⣕⡤⠀⠂⠀ ⠀⢀⠀⣤⠔⠆⢶⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠄⠀⠀ ⠁⣠⡎⠀⣀⣠⡾⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠄⠀⠀⠀ ⠀⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀ ⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⋆౨ৎ˚⟡˖ ࣪⋆୨୧⋆⋆ ˚。⋆୨♡୧⋆ ˚。⋆
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