Japanese Addressing System Emojis & Text

Copy & Paste Japanese Addressing System Emojis & Symbols ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆。˚˙✧˖°📷 ༘ ⋆。˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧。⋆🌻⋆。‧˚⛷🧚‍♀️🛖
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⣀⡤⣤⢤⡤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠛⠋⠁⠁⠀⠀⠀⠉⠛⣯⣳⡀⠀⠀⠀⠀⠀⠀⢠⡿⠃ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣿⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⢹⡆⠀⠀⢸⣿⠀⠀⠀⠀⢠⡿⠁⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⠀⢀⣮⠏⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠈⠻⢦⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠆⢀⠀⠁⠔⡊⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠡⠀⠀⠇⠀⠀⡄⠈ ⠀⠀⠉⠺⠔⡠⢋⠔⢀⠁⠉⠒⠄⠧⠒⠑⠀⠀⠇⠀⠀⠀⠀⢣⠀⡀⠙⠀⠀⢃ ⢀⠀⠀⠀⠀⣀⣀⣀⣉⠀⠐⠄⣁⠊⠮⣤⠀⠀⡈⠀⠀⠀⠀⡀⢀⠀⡄⢳⠈⡄ ⠀⠀⠀⠀⠀⠄⣀⠀⠉⠐⠄⡡⢞⡠⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠤⡡⠊⠄⡀⢀⠀⠀⠀⠀⠀⠏⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄ ⣀⣀⣁⣀⣈⠀⡠⢀⠀⠀⠀⠀⠀⠀⠀⠁⡔⢀⠸⢠⠀⠀⠀⠀⠀⠀⠀⠀⠊⢠ ⠀⠀⢀⠄⢀⠀⠀⣤⠦⠙⠀⠀⠉⠋⠖⢠⠀⠀⢸⡄⠤⠑⠈⠀⠀⠈⠀⠎⢀⠀ ⠀⠀⠀⠀⠀⠀⡟⢸⠀⣟⢾⣀⠁⠜⢁⠐⠀⠑⢀⢸⠀⠃⢿⠾⡧⢠⠆⢐⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢸⠆⣿⢸⠀⡜⣠⠀⠀⠀⡀⡧⢸⠃⡠⢀⠂⢠⠀⠘⠆⠀⠀ ⠑⠉⠀⠀⠀⠁⠀⢸⠀⠀⠀⡟⠛⠛⠒⠗⠢⠈⠀⢻⠸⠀⠎⢀⠀⠁⢠⠀⢁⠀ ⣀⠣⡔⣤⣀⢋⢮⢷⠙⠀⡇⣿⣴⣼⠉⣉⠈⣆⠻⣿⠀⠎⢀⠀⠀⡄⠀⠀⡀⠘ ⠀⢸⠀⠆⡠⣁⠔⣿⠸⠋⡾⢔⡩⣈⠀⠀⡈⣄⣢⢹⡟⢘⡿⠘⠀⠹⠀⠁⠈⢺ ⠀⠀⠀⢠⠀⠀⠀⡀⣢⢈⠃⡰⠀⠀⠀⠀⡀⠆⠘⡀⣄⣷⣿⣿⠻⠉⢏⠘⡀⢳ ⠀⠀⠀⠀⠀⠹⠀⠀⠀⠏⠸⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⣦⣿⣿⢹⣟⢾⠀⡇ ⠀⠀⠀⠀⠃⢊⢠⠁⡔⢀⢳⠒⠈⠀⠀⠀⠁⠋⣼⠀⠀⠀⠀⠂⡙⣧⣾⢠⠁⣴ ⠀⠀⠀⠌⣀⠀⠁⡰⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠡⡇⡟⢠⠀⡠⠈ ⠀⠀⠀⠀⠀⠀⡘⡁⠔⠍⠦⠘⠀⠀⠀⠀⠀⠁⠚⠓⠚⠐⠀⡇⣿⢰⠀⠀⠆⢇ ⠀⠀⠀⠀⠀⠇⠈⡀⡘⣤⡖⠀⠀⠀⠀⠀⠀⡅⣶⣳⢀⠀⠹⡄⡼⠀⠈⠖⢔⡿ ⠀⠀⠀⠀⠀⡜⢳⠉⡀⣀⢀⠀⠀⠀⠀⠀⠀⡀⠤⡠⠀⠏⢰⠇⢸⡆⠀⠀⠀⣼ ⠀⠀⠀⠀⠀⢸⠀⣆⣵⣾⢰⠀⠀⠀⠀⠀⠀⢥⠷⠾⡤⢀⠀⡾⢠⠀⢹⠔⡀⢃ ⠀⠀⠐⠀⠀⢳⠉⠉⠒⠠⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠁⠉⠔⢀⠀⠏⢸⠀⠀⠇ ⠀⠀⠀⠁⠜⢊⡢⢤⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⣅⠴⡼⢜⠘⠀⠌⣜⠀⠀⠀⠀ ⠳⠈⠀⠀⡀⡠⠀⠀⠀⡀⠠⠀⠀⠀⠀⠁⠂⡠⢀⠀⠄⠒⠠⡁⡜⢀⠀⠀⠀⠀ ⠀⣄⠳⠉⠀⠀⠀⠀⠀⠀⠀⡀⠢⠊⠠⢀⠀⠀⠀⠀⠀⠁⠖⣠⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠉⠉⠻⣦⡀⠀⠀⠀⠀⠀⣴⠞⠛⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠈⣷⠀⠀⠀⢀⡾⠃⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡇⠀⠹⢦⡤⢤⣄⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⣾⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡴⠞⠋⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⢸⡇⠀⠀⠀⠀⠀⠀⠘⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢧⣄⡀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠇⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⢀⣀⣀⣀⣱⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣤⠶⠋⠀⠈⠉⠁⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠘⠳⠛⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠸⠃⠐⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠐⠀⠀⠂⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠂⠀⢀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⠊⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⠋⠙⣧⠀⠀⣰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠛⠻⡧⠀⠀⢻⣄⡀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠁⠀⠀⠘⠛⠳⢦⣀⠀⠀⠀⢀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⣤⣤⣤⡄⠀⢹⡆⠀⠀⠀⣽⡷⣿⡋⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡁⠸⣇⡀⣀⡤⠀⢸⡇⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢀⣠⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠈⠛⠉⠀⣠⠞⠛⢳⡶⢤⣤⣤⣴⡶⠶⠶⠚⠛⢩⡿⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⢻⡁⠀⠀⠀⠙⠳⠶⠖⠛⠀⠀⠀⠀⣴⣋⣠⡾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣰⣾⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣌⠙⠳⢶⡶⠶⠶⠞⣫⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡞⢻⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠛⠛⠶⠶⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠉⠉⠀⠈⠳⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠂⠀⠀⠀⣤⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠤⠶⢤⣀⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀
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⠀⡅⠉⠊⡶⢀⣁⠛⣿⣶⣿⣙⣄⣤⣤⢦⠐⠀⠀⠀⠀⠀⠀⣄⡷⢾⠀⡤⢦⡜⢳⠀⡇⢸⡇⢶⣟⣱⣈⣀⣁⣟⣻⡰⠀⠀⠀⠀⠀⠀ ⠀⡀⢷⠙⠛⠿⣴⣀⠇⠙⣼⡸⢄⠦⠓⠉⠀⠀⠀⣄⣦⠰⠀⠀⠀⣆⠹⠀⠀⣆⡘⠀⠀⢸⡇⠀⡀⣥⣾⣶⣾⣤⢀⠀⠀⠀⠀⠀⠀⠀ ⠁⠋⣿⣴⣠⠀⠀⠀⢿⣀⢨⠀⠀⠀⡀⡧⣀⢷⠯⠻⠙⠉⠈⠀⠀⠀⡄⠹⠀⢤⢷⠀⠀⢸⡇⠸⠁⠉⠉⠛⠛⠚⠒⠛⠛⠛⠉⠉⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⣀⠁⡸⠀⠀⠀⠀⠀⢿⡿⣾⣤⣀⣀⣄⠤⠦⠶⠲⡗⢻⠉⡏⠸⠀⢸⡀⣿⣿⣿⣷⣶⣶⠷⠿⡼⣠⣦⣔⣭⣋⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⡜⣆⠀⠀⠀⠀⠊⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣹⣷⢸⠀⢰⠇⣸⣀⠀⡄⠸⠀⡀⠸⣇⢤⠦⡷⢾⡴⣷ ⠀⠀⠀⠀⠀⠀⠀⠁⣱⢿⠿⠀⠀⠋⣾⢀⠀⠀⠀⠀⠀⠗⢈⠀⠀⠀⠀⠀⠀⣆⢿⢸⠁⠸⠀⣿⠻⠀⠀⡇⠀⠀⡇⠀⠸⠀⠀⠀⠀⠀ ⠀⠀⠹⠀⠀⠀⠆⡇⡧⣿⣿⠀⠏⣼⠀⠀⠀⠀⠀⠋⡿⣾⢠⠀⠀⠀⠀⠀⠀⠀⣷⢸⡇⠀⠀⣿⣿⢸⠀⠀⢱⠀⠀⢸⢹⠀⠀⠀⠀⠀ ⠀⠀⣧⠈⠀⠀⠘⡄⡇⣠⡇⠟⣾⠀⠀⠀⠀⠀⡄⣤⣀⠀⠀⠀⠀⠀⠀⠄⠱⠀⡇⢸⡅⠀⡇⣷⣿⢿⠉⠀⡆⠀⠀⠂⡇⠀⠸⠀⠀⠀ ⠳⠈⡄⢳⠀⠀⢸⢠⡇⠀⡇⣿⢹⠀⠀⠀⠁⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢹⡄⢠⡐⠀⡇⠀⣧⣿⣸⣄⠳⠈⠀⠀⡇⠀⢠⠀⠀⠀ ⠀⣷⠻⡌⠸⠀⢸⢀⠸⠀⠇⣿⣿⣿⢿⠻⣧⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠙⠀⢰⠀⡇⠀⠀⣘⣄⠤⠷⣟⠘⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⣷⣿⣿⠈⢨⠃⢿⣿⣿⣍⣿⣿⣻⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣧⠀⠀⠀⡐⠀⠀⡆⠙⠀⠀⣦⣿⠈⠀⡇⠀⠀⠀⠀ ⠀⠀⡄⡘⣷⢿⠸⡏⣿⣤⣶⣶⣶⣿⣿⣶⣿⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡁⠀⠀⠀⠀⠀⠀⠀⣷⢿⠷⠛⣟⢻⠀⣸⠀⠀⠀⠀ ⠀⠀⠀⡄⡟⣿⢸⡿⢈⠀⠈⠀⠀⠀⠁⡞⢠⠀⠀⠀⠀⠁⠁⠉⠀⠀⠀⠀⠂⠘⡇⠈⠀⠀⢸⠀⠀⠂⡤⣀⠱⢢⡈⣿⠁⢸⠀⠃⠀⠀ ⠀⠀⠀⠀⣿⣿⢸⣼⢧⠈⢆⠙⠀⠋⡐⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⠿⠛⠛⡟⢰⣄⢀⠀⠀⢸⠀⠀⠃⠟⠻⡞⠀⣇⣏⡇⠀⠀⡜⠀⠀ ⠀⠀⠀⠀⣻⣿⣿⢸⡄⢿⠀⡀⠁⠞⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⣿⣿⣿⣧⠷⠩⠈⠀⠀⢸⠀⠀⣷⣤⢣⠈⠁⡴⢸⡾⠀⠇⢠⠀⠀ ⠀⠀⠀⠀⡇⡇⢹⢻⠀⣷⢻⠚⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣷⣶⣿⡿⠛⣟⢻⠈⠀⣶⠻⠙⡀⢳⠟⢿⢠⡞⠁⢰⠀⡼⠀⠀⠀ ⠀⠀⠀⠀⡄⠀⣽⣿⣿⡟⣿⢿⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⣖⣴⣦⣠⡇⣿⣿⣻⢷⡹⣯⣶⣣⠀⡇⠀⠇⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣸⠁⡿⣿⣿⣿⢿⠿⠿⠛⡙⣉⠀⠀⠀⠀⡇⢀⠀⠀⠀⠀⡇⣿⣠⠏⣾⠀⢸⠃⣼⠀⡸⠀⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⣧⢹⡼⡇⠈⠁⣿⣿⠁⡿⢋⣿⣠⣀⢭⠾⠛⣹⠀⠀⠀⠀⠀⡏⢿⡿⣿⢠⠇⢀⡇⢸⠇⢀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⢸⣇⣼⡿⡆⣿⢸⡀⢸⡏⡀⣿⣰⣏⣧⢸⠋⡴⢀⡀⢃⢠⠀⠀⠀⠀⠀⣿⣿⣿⢰⠁⣸⠀⣿⠀⡜⠁⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⢺⡇⣻⣿⠘⣇⢰⠀⢻⢹⠁⣰⠃⢡⣿⣾⢿⠶⣠⣋⣼⠀⠀⠀⠁⠀⠇⣿⣣⣰⠁⣾⠀⠇⣸⠁⢰⡎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢃⡈⣿⣿⣿⡁⢹⠀⡇⢸⡾⠁⡾⣥⢛⡠⢀⠁⡴⢏⢀⠀⠀⠀⡇⠀⡟⢻⣰⠀⡞⢀⠀⡟⠀⡆⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢣⣯⣾⣿⣿⣿⢻⡄⢿⢻⣹⠞⣧⢠⠀⠀⠋⡡⣸⠀⠀⠀⠀⣸⠁⣿⢠⠀⡟⢀⠀⠇⢰⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣋⣄⣻⣧⠀⣼⠇⣾⢀⣀⠀⠀⠀⢃⡾⠀⠀⠀⠀⠇⢰⡏⢸⠀⠏⢠⠀⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⢺⡀⢳⢧⢸⣿⢸⠀⠀⠀⠀⠋⣷⢰⠀⠀⠞⠀⡾⠃⣾⠁⠞⢠⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⡆⠘⠀⢱⠀⢸⠀⠠⠁⠞⣠⣀⢄⠑⠀⡆⢶⣇⣿⣿⠀⡇⣿⣼⠀⠀⠀⡇⣾⠀⠀⠀⠀⡇⢿⠀⠄⢦⠑⡈⢤⡲⣛⢤⠤⣤⢤ ⠀⠀⠀⢸⠀⡄⡿⢠⠀⠋⣠⠀⠀⠀⠀⡀⢣⠈⡀⡷⣿⣿⠀⠀⣿⢠⠀⠀⠀⡄⠀⠉⠒⠿⣾⣴⢁⠛⠒⠔⡤⢁⠟⡿⣯⠟⣿⠻⠀ ⠀⠀⠀⢣⠀⠎⣠⠀⠟⢰⠀⠀⠀⠄⠤⠒⠈⢆⠘⠀⣿⣿⠀⠀⣿⠀⠀⠀⠉⠖⡠⢀⠀⣧⢈⠀⡇⢀⠀⠀⡷⢿⡿⣾⡧⣿⢺⡰⠁ ⠀⠀⠀⠀⠆⢻⠀⡾⢀⠀⠀⠀⠀⠀⠀⠀⡀⠦⡟⠘⣇⣾⠀⠀⢐⠁⠔⣡⠐⠀⠁⠊⠖⠿⢹⠀⡼⠳⠙⠙⠀⣀⣦⢿⡹⣈⠀⠀⡝ ⠀⠀⠀⠀⠀⣧⡿⢾⠒⠛⠟⠴⡤⣥⣶⠻⠈⠀⡀⣿⡇⢸⠀⠀⠏⢺⠐⢁⠊⠴⣀⢦⠹⡀⡷⠻⠛⠀⡣⣿⠦⠓⠉⠀⣄⣦⢻⠀⣾ ⠀⠀⠀⠀⠀⡎⣠⠋⡴⣠⠁⠊⠴⢀⠀⠀⣎⠢⠈⡇⡏⢀⠁⡾⣠⠁⠔⣀⠀⠀⠀⠀⡀⢦⠢⣖⣮⠲⡉⣾⠁⠋⡴⢀⠁⠋⡼⢠⢻ ⠀⠀⠀⠃⡵⢉⣉⠀⠊⠔⣀⠀⠀⠀⠊⡠⠀⠀⣇⡿⣶⠙⡼⠁⠖⢀⠀⠀⠁⠀⠀⠡⠀⠀⠀⠀⠍⠟⡿⢾⣠⠀⢋⠿⣿⣿⢓⡼⣠ ⠀⠀⠀⡇⠟⠾⠤⣦⠙⠀⠀⠁⠊⡠⠀⠀⠁⠒⡧⣰⠀⣀⣄⣵⠐⡄⠑⠀⠀⢢⠈⠀⢄⠀⠁⡜⢀⠀⢄⠳⠋⡶⣻⣏⢡⢻⡼⠀⠀ ⠀⠀⠇⣤⢀⠀⠀⠀⡀⢦⠞⣰⠀⠀⠀⠀⢉⠖⡠⠀⠀⠀⠀⠀⢄⠑⡀⢦⠈⠀⢄⠘⠀⠁⡼⠀⠀⠀⠀⠀⣄⡳⣸⣻⡟⣿⠀⠀⠀ ⠀⠎⣷⢳⠈⠀⠀⠘⠉⠊⣷⠸⠁⠞⠤⣀⠀⠀⠒⠒⠓⠅⠭⠤⠓⠈⣀⠤⠒⠉⠀⡀⠿⣴⠀⠀⠀⠀⠀⠀⠀⡏⣿⢁⠐⠀⠀⠀⠀ ⠄⠀⡸⢱⢄⠈⠀⣦⣿⢰⡇⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣤⠀⠀⠀⡀⣤⣙⣧⣏⣸⣀⢸⠀⠃⢠⠁⢰⡐⡾⠀⠀⠀⠀⠀ ⠀⠀⡇⡄⠘⡄⠑⠀⠁⠉⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣄⣄⠱⠈⠋⠠⠀⡎⠃⠀⢃⠀⠀⠀⠀⠀ ⠀⠀⠀⢳⡄⠁⠉⣋⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠶⠬⢀⡉⠉⡞⠓⠐⠀⠀⠀ ⠀⠀⠀⠀⢧⡟⣿⣾⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⠀⡆⣘⠀⣀⢳⡏⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⡁⣿⢠⠒⠒⠙⠋⠉⠉⠻⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠃⠀⠀⢰⠀⠀⣧⠻⠉⠀⣆⣿⠀⠀⠀ ⠀⠀⠀⠀⠁⡟⢿⠉⠉⠟⠿⣿⣾⣴⣠⠀⠀⠀⠀⠀⠀⠀⠓⠈⠥⠛⠛⠉⠉⠉⠈⡘⠀⠀⡆⠀⠀⠀⠀⠁⡟⢿⡕⢦⠻⣿⠸⠀⠀ ⠀⠀⠀⠀⡀⣼⣤⣤⣤⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣶⣮⣿⣿⣿⣿⣿⣾⢹⠀⠁⠈⠀⠀⠀⠀⠀⠛⠛⠛⢿⡄⣶⢸⠀⠀ ⠀⠀⠀⠀⠀⢆⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⣀⣄⣤⣦⣶⣶⣿⠿⠻⠀⠀⠸⠀⡆⠛⡙⣈⢀⠇⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⣀⠢⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⡀⣄⢠⠀⢹⠣⠈⣆⢿⢸⠃⣸⡇⢀⠀⠀ ⠀⠀⠀⠀⠀⣄⠢⠛⠉⠈⠀⠁⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⢻⢿⣴⠣⡟⠶⣿⢴⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠜⣄⢙⣿⣤⣤⣴⢁⠞⠉⠀⠀⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠈⠀⠀⠀⠀⣿⢀⠃⣿⣇⣀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠀⠀⣼⡆⠀⠀⠎⢠⡥⣴⠀⠀⡄⣤⣽⣍⣋⣶⢶⠦⠤⠤⠤⣯⣰⢀⠀⠀⠀⠀⠀⣿⢯⢠⢸⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡞⢀⠀⡟⠁⠛⠴⡠⢋⠴⣀⡏⠖⡤⣠⢸⠀⠎⣤⠀⠀⠀⠀⠀⠀⠀⣿⣰⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢀⠀⠄⣤⣴⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢸⠞⢀⠀⠀⠀⠀⠀⠀⠀⠇⣼⠁⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⣨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Warning: This item may contain sensitive themes such as nudity.

.  +⠀ ⠀ ⠀˚⠀ ⣴⠟⠉⠉⠛⢦⡀⢀⣴⠛⠉⠈⠙⠻⣄ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠹⣦ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆ ⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⠀⠀⣠⡴⠛ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⠶⠋ ⠀⠀⠀+. *
⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡽⢸⠀⣽⣤⣀⣖⣲⡓⣿⠼⠇⠓⠀ ⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠠⡄⠈⠀⠀⠀⠀⡀⢃⠛⠟⠾ ⠀⠀⠀⠰⠀⠀⠀⠀⠞⠠⡌⠵⠠⠤⠠⠂⡐⢸⠃⠀⢆⠀⠀⠀⠀⠁⣴⣤⣀⠀ ⣿⠾⠀⡀⠡⠀⠀⠌⢀⠀⠇⢄⠀⠀⠑⠀⠀⢀⡎⠀⠃⢳⠀⠁⠝⢈⠀⠀⠀⠀ ⡟⢶⢿⠈⠀⢂⠌⢹⠉⠉⡘⠀⠀⠀⠀⢆⡟⠀⢈⠛⣴⠋⣴⢸⢸⣄⠰⠀⠀⠀ ⠀⠀⡀⡸⠡⠀⡀⠧⠦⣶⠶⣤⣶⣶⠿⠛⣏⠏⢂⢇⣸⡇⢸⢁⠀⠀⠃⠀⠀⠀ ⠱⠀⠁⢠⠂⡛⠾⢀⠿⠾⠒⠈⡀⢄⠠⣐⣕⢷⠃⡆⢻⡏⠀⡆⠜⠀⡄⠀⠀⠀ ⠀⠀⡗⠂⠁⣾⠀⡃⣾⠲⣤⣀⠀⠀⠀⠀⡀⣶⢸⠀⠻⠛⣝⢘⢸⠘⠘⠀⠀⠀ ⠀⠃⡇⠸⣶⢀⠀⠀⠆⠤⠥⠀⠀⠀⠀⠀⠀⡆⣏⠀⡇⠛⣨⡜⠁⠁⢸⠀⠀⠀ ⢸⡇⡆⢇⠝⠈⠀⠀⠀⢄⢠⠀⠀⠒⠛⠟⠷⡽⣷⢸⡀⢿⡬⣾⠐⡄⠀⠀⠀⠀ ⣆⠟⡰⡀⣦⢻⠀⠁⠋⠸⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⠈⣇⣼⢸⠀⠀⠀⠀⠀⠀ ⠀⢿⡹⢰⠀⣧⢰⢿⣾⢠⠀⠀⠀⠀⠀⠁⠋⠔⣀⠨⢱⣱⢸⢸⠘⠀⠀⠀⠀⠀ ⠀⣴⢰⡄⠈⡿⡼⢀⠀⠀⠀⠉⠚⠚⣵⣠⢀⠀⠄⢻⡿⡿⢻⢸⢻⠘⠈⠀⠀⠀ ⠀⠀⡀⠘⢃⠀⢆⠈⠉⠛⡿⣉⠣⣀⣢⣷⠳⠈⡷⣿⣼⡦⣗⢲⣾⢻⢸⠀⠀⠀ ⠀⠀⠀⡄⠐⠡⠀⣂⣀⢀⠀⠀⡀⢣⠙⠀⢄⣾⡿⣼⠀⠤⣪⡁⢻⣟⢀⠀⠀⠀

Warning: This item may contain sensitive themes such as nudity.

⠀⠛⡤⡋⡞⣬⣷⣑⣉⢤⠀⠀⠙⠀⣄⠱⡀⣣⠰⡆⡇⢦⣳⣘⢗⢴⢀⠀⠀⠀ ⠂⡶⣤⢀⠀⢸⣸⠀⠀⢡⠧⠛⠛⠙⠀⡀⠱⠄⢸⠀⡀⠉⡋⠛⢚⠒⠛⠛⠙⠉ ⠀⠀⠀⠀⡄⠇⢠⠀⠀⡎⣤⢀⠀⠀⣀⣀⡄⢵⡷⠀⠀⣼⣠⣱⣀⣼⢺⢒⢾⡳ ⠀⠀⠀⠀⠏⣟⠸⠃⡼⠀⠀⠀⠏⢘⠀⠀⠀⡄⣿⠇⠀⣿⠘⡀⠈⠇⠃⠀⠀⠀ ⠀⠇⠀⠃⡀⣼⠃⡼⠀⠀⠀⡤⣠⠀⠀⠀⠄⠘⣧⡄⠅⣷⢻⠉⢀⠀⡇⠃⠀⠀ ⢇⡙⠰⡇⠀⢠⡇⢿⠻⠊⠾⠀⠀⠀⠀⠀⠀⠇⡈⠀⡇⠀⣤⠒⢝⠈⡀⡀⠀⠀ ⠀⣇⣷⡋⡇⡾⣻⣟⢿⡿⢘⠀⠀⠀⠀⠀⠀⡇⢰⠀⡆⠀⠆⠙⡉⢷⠀⠸⠀⠀ ⠀⠀⡧⣿⡇⢀⠈⡀⣁⡔⠀⠀⠁⠋⠉⠀⠄⡊⠋⠀⡀⠀⠀⣠⡔⣕⢸⢠⠆⠀ ⠀⠀⡅⣿⠸⢷⡄⠅⠐⠀⠀⠀⡀⣦⣿⣿⢿⢻⠙⠀⠀⠀⠇⣲⢀⠏⢇⠀⠰⠀ ⠀⠀⡇⣇⢻⡟⢿⠨⠀⠀⠀⠀⠀⠀⡀⣤⣧⢿⡿⠘⡙⠿⡙⠷⣻⡐⠘⠆⠀⠀ ⠀⠀⠀⡏⣿⣿⣿⠃⢾⠷⠿⠲⠛⠍⠩⠀⡆⢀⠀⠀⣿⣫⡼⣀⠇⠁⢠⠰⠀⠀ ⠀⠀⠀⣿⣧⣿⣇⢸⢠⡌⢳⡧⡷⢁⠔⣄⢸⠀⠀⠀⣿⣾⢁⢠⣼⡀⡌⠀⠀⠀ ⠀⠀⠀⡆⡇⣿⡸⢸⠇⢹⢠⠺⣵⢴⣡⣖⠀⠀⠈⡇⣪⢁⣸⠃⢠⢣⢠⠀⠀⠀ ⠀⠀⠀⠀⢢⣽⢿⣿⠘⡾⡹⡕⢠⠁⢕⢰⠀⠀⢰⡾⢀⡜⠀⡼⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣄⠷⣆⢫⢻⢸⠀⠀⠋⡼⠀⠃⡇⠇⢰⡔⠀⡄⠀⠀⠀⠀⠀⠀⠀

Warning: This item may contain sensitive themes such as nudity.

⠀⠀⠀⠀⠟⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡜⣿⠀⠀⠀⣿⣷⣽⣉⣀⣿⣿⣘⠥⣯⣿⢻⠐⠆⠸⠉⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⣏⠀⠀⡇⣷⠘⠀⠀⠀⣀⣀⣀⣤⣦⣶⣿⠀⠀⣰⢀⠀⠀ ⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⢠⡃⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠛⠏⠿⣿⠼ ⠀⠀⠀⠀⡄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠂⠛⠙⠉⠉⠁⠉⠀⠀⠀⠀⡄⢷⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣿⣿⣾⣠⠀ ⠀⠀⠀⠀⠀⢆⠈⠀⠀⠀⠀⠀⠀⡇⣼⢀⠃⠈⣄⠘⠀⠀⠀⠀⣀⣀⠤⠸⡇⠀⠀⢸⠀⠀⢃⠈⠀⠀⠀⠀⠀⠀⠃⣴⣀⣀⠀⠀⠀⠀ ⣿⠿⠻⠸⠀⠀⢆⠈⠀⠀⠀⠀⠃⡰⠀⠀⠀⢧⡈⠲⠀⠀⠀⠈⠀⠀⠀⢸⡀⠘⠀⢸⠀⠀⠀⢯⠀⠀⠀⠀⠁⠞⢀⠀⠀⠀⠀⠀⠀⠀ ⣷⣿⣸⢱⠀⠀⠀⣄⠙⠀⠀⠃⢸⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⡀⠦⠙⠀⢃⠀⠀⠰⢇⠀⠃⡿⢀⢣⠀⠋⠞⣼⠧⠪⠈⠀⠀⠀⠀⠀⠀ ⡟⣿⣿⡿⢿⠈⠀⠀⡀⠳⠋⣶⢸⠀⠀⠀⠋⣸⠀⠀⠀⠀⠀⠀⠀⡄⢻⡏⠘⠀⠂⡆⠈⣿⢠⠁⠟⣾⡇⠀⡇⠀⡄⣷⠀⠀⠀⠀⠀⠀ ⣠⢀⠀⡀⣦⣬⠳⠈⠀⠀⣄⠳⣉⣈⣉⣿⣽⠉⠛⠛⠟⠿⠛⠙⠈⠀⡄⣿⢸⠸⠂⠀⣹⠋⡼⢀⣸⠸⡆⢸⡇⠀⠀⠀⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⠀⢇⠙⠀⠀⠀⡏⣰⣄⣤⣤⣦⣒⣄⣤⣤⣶⣷⣿⣿⠻⡏⢻⣧⠄⠰⣇⣿⢠⠁⢸⢰⠀⢸⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠀⠀⠀⠀⢸⠀⠀⡙⢯⠙⠞⢀⠃⠾⠲⠙⠈⠀⠀⠀⣀⠤⠒⠉⣀⣭⣶⣿⣹⡆⠈⡄⣿⠈⡇⢘⠀⠀⢇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⡏⠀⠃⠀⣷⣿⣴⠀⠀⣿⣿⣰⣁⣉⢯⠘⠀⠀⠀⠀⠀⢀⡀⢧⡝⣿⠘⢰⠀⣼⣤⡶⣷⠙⠁⡀⢸⠁⠀⠀⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⣿⠀⡟⠀⡿⣺⠀⠀⠁⣿⢿⣺⢔⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣯⢿⠀⠀⡇⠛⠻⠛⣝⣻⠈⢣⡇⠀⠃⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠘⠇⠉⣼⢀⠀⠀⠀⣠⢁⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣧⠘⠀⡀⣾⣀⣤⣼⡸⢳⡇⠀⠸⡇⠀⠀⠀⠀⠀⠀ ⠈⠀⡇⠀⣇⢸⡇⣴⠀⠀⠀⠀⠀⠀⡆⢈⠀⡁⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣍⠹⢿⠀⠀⣷⣾⣱⠈⡏⡇⠸⠘⢇⡞⠀⠀⠀⠀⠀⠀ ⢸⠀⡇⠀⡟⢰⡟⠃⢠⠀⠀⠀⠀⠀⠀⡄⠶⣠⠀⠀⠀⠀⠉⠀⠉⠋⠛⠛⠟⣿⣿⣶⠼⠠⡆⢼⠲⣗⣿⣿⢸⠀⡆⢸⠀⠀⠀⠀⠀⠀ ⢿⠈⡆⠀⢸⠀⣾⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣠⣤⣤⣤⣇⢿⢹⠀⠀⣿⢿⠛⣿⣄⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⡀⢿⠏⠿⢠⠁⢀⣦⣿⠿⠰⠀⠀⠁⠋⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠉⠀⡆⣿⣾⣇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⣽⢁⠼⠃⠀⠀⣇⣿⠻⠛⠿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠤⠠⠀⠀⠀⠉⠞⣷⡄⣿⠀⢸⣧⢸⡇⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⡿⠁⡆⠈⠀⡀⣿⢠⡇⣿⣿⣴⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⣶⣠⠀⡇⠈⡄⢹⣧⡎⢸⡇⡜⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⣾⠷⢀⠀⢱⠀⠏⢿⠿⣶⣠⠀⠀⠀⠀⠀⠀⠀⠁⠉⠈⠏⣿⣶⣤⢀⠀⠀⠀⡟⢻⠋⣿⡟⢻⢻⡏⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠱⠀⡆⠘⣶⣦⢹⠀⠀⠀⠀⠀⠀⠁⠟⠿⠢⣓⣻⣍⠫⠙⠈⠀⠀⠀⠀⡏⣿⣭⣿⣷⣿⣿⣿⠘⣿⣿⢸⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠘⠀⢧⠈⠀⡄⠱⠀⠀⠁⠋⡿⣷⣩⡈⢦⠈⡀⣄⡲⣝⣿⠿⠙⠀⡇⣿⣿⣿⣤⢤⠶⣿⣾⢳⣿⣷⢻⡯⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⠘⠀⢣⠀⠀⡆⢿⡶⣴⣴⣀⣀⣀⣠⢤⣷⠘⠀⠀⠀⣄⣱⣧⠻⡏⣿⣿⣼⠀⠁⠋⡟⢰⡆⣿⡆⣧⣾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⠙⡀⠱⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⣖⢿⠓⠈⠀⠁⢦⣦⢳⣿⣰⣀⣀⣀⠀⣾⠀⠇⣿⠻⣿⢰⠀⠀⠀⠀⠀⠀

Warning: This item may contain sensitive themes such as nudity.

⠀⠀⠀⠈⠔⡀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠖⡡⠈⠊⠔⡬⢀⠀⣄⠈⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠁⠈⠁⠀⠀⠀⠀ ⠀⠀⠀⡞⠁⡰⠀⠀⠀⠰⣄⠙⠀⠀⠀⠂⠠⢀⠀⠀⠀⠁⠐⡱⠀⠀⣆⠀⠀⠊ ⠀⠀⡇⢤⢀⠀⠁⠔⢸⠀⠃⢀⢔⠢⠐⠉⠈⠉⠉⠉⠁⠊⠓⡝⠣⠓⡠⣊⣴⠀ ⠀⠀⡅⠰⠃⠔⣀⠞⢀⠁⣵⡐⠀⠃⠼⣖⠢⢱⠇⣹⣌⠀⡘⢹⡰⡰⡠⠀⠀⠀ ⠀⠀⡀⠎⡴⠯⠴⢄⠧⡨⣲⠤⡀⢀⠀⠀⠀⠀⣀⣧⢀⠀⠁⣰⡟⡇⠸⠀⠀⠀ ⠀⠀⡆⠒⡠⢀⠊⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡀⡀⡇⣄⡿⡄⢃⠀⠀ ⠀⠀⠀⠀⠃⡜⠀⠀⠀⠀⠀⠂⠕⡈⣀⢄⠑⠀⠀⡛⠀⠃⢀⡇⢷⡌⠸⣧⠘⠀ ⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠄⡠⠲⠇⣤⠀⡜⠀⡄⡈⢆⣧⠘⢂⠁ ⠀⠀⠀⠞⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠸⢸⠀⠀⢰⠀⠢⣧⠙⣏ ⠈⠁⡾⠠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⢠⢰⠀⠀⠇⠀⠃⠀⢙⠻ ⡀⣆⠺⠋⣿⣷⢿⠻⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠀⠀⠁⠀⠞⡇⠀⡀⠶ ⠀⠀⣄⣦⣷⣵⣺⣧⣤⢎⠥⠋⠉⠀⠀⠀⠀⠀⠀⠇⣧⠀⠀⡀⠀⢠⡘⠀⠀⡇ ⠀⠀⠀⠀⡰⡞⢀⢀⡀⠜⣀⢋⣴⣠⢋⠋⣾⠓⠙⡯⡙⠺⠈⠀⡌⠃⢀⠀⡆⢢ ⠀⠀⠀⠀⡆⢀⠀⠀⡚⢀⠀⠀⠁⠗⣤⣴⣯⢷⡿⣿⣿⢻⢛⠍⠉⡰⠈⡀⠘⣂ ⠀⠀⠀⠀⠀⠀⠀⡞⢀⠀⠀⠗⢐⠰⠀⠀⠀⠈⡁⣴⣠⣎⣵⣞⣤⠀⢰⠀⡤⠳ ⠀⠀⠀⠀⠀⠀⡇⢠⠀⠁⡪⠀⠌⠀⠀⠁⠔⠊⢀⠊⡠⠁⡠⠀⠀⠀⠀⠀⡠⡀ ⠀⠀⠀⠀⠀⠀⠘⠀⠂⢄⠀⠀⢠⠀⠋⠠⠄⠁⠔⠀⠌⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⠀⠆⢀⠀⠀⡆⠀⠌⢀⠀⠀⡀⠀⡐⠀⠀⠀⠀⠁⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⠀⢸⠜⠀⠀⠀⠀⠀⡰⠀⠀⠀⠀⠀⠅⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⡄⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⢷⠀⠀

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⣤⣤⣉⢊⠴⣠⠀⠀⠀⠀⠀⠰⠀⣿⠿⡆⣿⠀⢁⠔⠁⡄⠘⠁⠀⠀⠀⠀⠀ ⣓⠠⠆⢂⠀⠀⠀⠀⠀⠀⠀⢹⠀⡄⢻⠻⣿⠘⢀⠀⢁⠔⢮⡆⠀⠑⠁⠐⠀ ⠀⢳⠀⢡⢣⠀⠀⠀⠀⠀⠀⣼⠋⢾⣤⣀⣆⣡⢁⠂⠁⡓⢸⡅⠀⢣⣽⠀⠀ ⡀⠔⢆⡈⣷⠸⠀⠀⠈⠀⠀⢾⣠⠀⠀⠀⠀⣀⠀⠖⣞⡀⢰⠁⠀⡜⡜⠀⠀ ⠀⠀⠀⢄⠀⣇⠈⠃⠈⠀⠀⠀⠀⠀⠀⠀⣀⢀⠦⠠⠀⠀⡀⠡⠁⢀⠘⠀⠀ ⠀⠀⠀⠁⠀⠀⢧⡟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠀⠀⡆⡈⠀⠀⠀⠀ ⠀⠀⠰⠀⠘⠁⡟⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠉⠀⢫⠈⢱⠀⠀ ⠀⠀⠄⠀⠃⡿⣾⣉⢸⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠄⣦⣶⣶⣠⢢⡛⠈⠀ ⠀⠀⠀⢡⡇⣿⣶⣿⢇⠀⠀⠀⠀⠉⠋⠟⠋⠠⠀⠀⠀⠀⠈⠀⠁⠜⢺⣆⠀ ⠀⠑⠘⡄⡇⡠⣥⢯⠀⠈⠀⠀⠛⡟⣾⣤⢀⠀⠀⠀⠀⠀⡁⠬⣧⠑⣜⠀⠀ ⠀⠀⠷⠀⢠⣷⡴⠱⠗⢸⠀⡀⢀⠃⠀⠀⠀⠀⠁⠋⠇⠲⠒⠜⣸⠀⢱⢐⠸ ⠒⠐⡇⢻⠀⠁⣆⢀⠂⢯⠀⠀⠀⠀⢧⠦⡤⣲⣀⣬⠢⠸⠀⠀⢠⠀⡀⠇⢀ ⡤⣤⡇⡄⠸⡆⠈⠈⡈⡕⠸⠀⢡⠆⠀⢆⠌⠐⡀⢣⠀⠅⠀⠀⠘⠁⢣⣰⠀ ⠀⠀⡀⠀⡄⠹⢢⢃⡀⠑⣆⠘⠁⠱⢄⠈⢆⠈⠢⠘⢡⡀⠀⠂⢁⠪⡠⠀⠀ ⠀⠀⢀⠀⠀⡀⠦⠐⠪⠪⢀⠆⠈⡰⠠⣂⠀⣄⠳⣍⠩⠙⠏⢔⣠⠀⠀⠀⠀

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⠉⠉⠉⠉⠉⠈⠒⣷⣿⢠⠃⡴⣻⣻⢰⠀⠃⡼⠀⠀⠀⠉⢋⠔⣠⣀⠉⠋⠟⢰⠀⠀⠀⠀⠀⠈⡄⠹⡃⡼⠛⡟⣠⠀⠉⠉⠋⠛⠿⣰ ⣴⣠⠀⠀⠀⠀⠀⡀⣿⣼⢀⠟⣬⡏⣏⠀⡇⢰⠀⠇⣻⣷⢚⠶⡤⣀⣀⠞⢠⠀⠀⠁⠈⠀⡴⠀⠀⡟⣟⣿⣾⣠⣀⣀⣀⣀⡀⣀⣦⢷ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⠠⠀⣉⢣⣷⠀⡆⢸⠀⡇⣯⣀⣀⣀⣀⣁⡴⢀⠀⠁⠞⣠⠀⠁⠛⠘⠀⠏⣧⣠⠀⠀⠀⠀⠁⠈⠀⠀⠋⡿ ⠈⠀⠀⠋⠛⠛⠛⠛⠛⣿⠿⠿⣿⣾⠈⠀⠀⢹⠒⡖⢺⠀⠀⠀⠎⣠⠀⠋⠔⣠⠁⠊⡴⣇⣾⠀⠎⢀⡇⢶⠶⠶⠶⣶⣳⠰⠋⡿⣶⣠ ⣿⠻⠀⣄⠳⠘⠀⠃⠙⠉⠉⢛⠛⡖⢸⠀⠀⢸⠀⠀⢸⠀⠀⡿⢉⠊⡠⢀⠋⠖⣀⠀⠃⣼⠀⠞⢀⠀⡿⠷⠾⠀⠋⡴⢋⡶⣿⡽⢫⠟ ⣶⣿⣿⠻⠈⣄⢷⠘⢄⠳⠈⠀⠀⠀⢸⠀⠀⢸⠀⠀⢸⠉⡽⢗⣻⠁⠟⡫⢛⠛⠛⠛⣰⠁⡾⢸⠀⠀⣿⡱⠚⡵⢚⡴⢁⠟⣿⣾⡴⢉ ⠈⡠⣔⣦⣷⠻⠙⣄⠳⠉⢄⠱⠈⠀⢳⠀⠀⢸⠀⠀⢾⣁⣾⣾⡧⣀⡅⡐⣀⢀⡏⢠⠁⡼⣀⢸⠀⠀⣿⣰⢟⣵⢋⠟⣷⣶⣡⠉⠏⣰ ⣀⣦⣼⣤⢤⡷⣤⣶⠶⣛⢿⠙⣆⠙⡇⠀⠀⢻⠁⠀⢹⠄⠀⠀⣇⠀⠀⠀⠁⡟⣵⣟⣰⠀⠋⢹⠀⠀⡇⡿⣿⣿⣶⠷⡴⣿⣦⢡⣸⠀ ⠀⠀⣇⠘⠉⡀⢆⠈⢇⠈⣇⣵⣤⡳⣿⠀⠀⣸⣷⢻⡄⠼⠑⠈⡀⢦⠑⠉⣀⡰⣥⢉⠚⡡⢉⣿⠀⠀⡇⢀⡼⠃⢾⢁⡞⢁⠰⡟⢀⠀ ⠀⠀⠀⣇⡈⠳⠀⠀⠀⣷⡄⡇⠀⠜⡇⠀⠀⢸⡏⣿⠀⡄⠲⢖⠒⠒⠒⣖⣤⣤⣤⣠⣁⣈⠟⣷⠀⠀⡇⡇⠁⣼⠁⡿⠘⡞⡇⢸⠀⠀ ⠀⠀⠀⠀⢳⡀⢳⠀⠀⡄⢸⣼⠘⢸⡇⠀⠀⣿⣦⣼⠀⠀⠀⠀⠋⠿⠿⠿⢹⢇⠀⠀⠀⠘⣾⡇⠈⠀⡇⡟⡼⠀⡞⡞⡦⢿⡮⢰⠀⠀ ⠀⠀⠀⠀⡄⠸⡀⠹⠀⠳⢠⢸⢸⢰⣿⠀⠀⣏⡇⢸⠀⠀⠏⡻⣿⣿⣿⣿⣿⡄⢿⠈⠁⢻⢰⢘⢸⠀⡇⣼⠀⠇⢇⢀⠈⠀⣾⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⠈⡇⠈⡀⠸⢀⣿⠀⣿⠀⠀⣻⡿⢸⠋⡷⣿⣿⣶⣠⢀⡀⣄⠺⣿⢿⠈⣿⠿⣧⢸⠀⡇⢠⠃⢠⢸⠃⢸⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⢸⠀⢹⠀⡇⠈⣇⠀⣿⠀⠀⡇⣿⣿⢿⣴⣠⠀⠀⠀⠀⠀⠁⢔⠺⣄⢦⣿⣿⡿⢸⠀⠀⢸⣀⡏⠀⡇⢠⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⣧⠈⠀⢱⡄⠈⣿⠀⠀⡇⣿⣤⢀⠀⠀⠀⠀⠀⠀⠊⣻⡰⠀⠀⠀⡀⣄⣷⠹⠀⠀⢸⠁⢰⠀⣼⠀⡇⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡆⠘⡄⢻⠀⡇⠈⢿⣿⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡖⣷⢀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⢸⡔⠀⡇⢀⠀⡼⢹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⠀⠃⣿⣿⣿⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⢹⠀⠀⡼⠀⠀⢸⣇⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⠀⡇⠁⡿⣶⣤⣼⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣄⠱⢸⠀⠇⢠⡆⢻⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣿⣡⠋⠼⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⣅⡮⠷⠘⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⡂⢻⡌⠹⠀⡇⠀⠀⣇⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠸⠁⢞⣾⣻⠈⢸⠀⠀⢹⠈⠀⠀⠈⠀⡄⢗⡭⢗⢸⠀⠀⠀⠀⠀⠀⠁⠉⢸⠀⠀⠀⡃⣳⡯⠘⣸⠀⠀⡀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢾⣸⠋⣿⣉⢥⢰⠉⠾⣼⣤⣯⠯⢿⠿⠘⠀⣄⣤⢀⠀⠂⠒⠒⠒⠿⣿⡿⢸⠀⠀⠐⡿⣿⣿⣿⢸⠀⠀⠀⡆⠘ ⠀⠀⠀⠀⠀⠀⠀⠁⢣⢸⢉⣭⣿⣿⠁⠋⠛⢹⠋⣿⣿⣿⣶⢀⠀⠀⠀⠀⠀⠀⠶⠛⠉⣿⣛⣿⢿⠀⠀⠘⡄⣿⣿⡏⢱⠉⠉⠉⠉⣏ ⣀⣀⣀⣀⣀⣀⣀⣀⡇⢿⣳⣿⣻⣟⡀⣤⣆⣸⣄⢤⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡠⣖⣤⣷⣶⣶⠳⢸⠇⡻⣿⡿⣠⣀⣀⣀⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⡼⡦⣼⣿⣝⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⢿⣼⡞⣽⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠸⢹⡄⡸⠀⠤⠓⢹⠈⠀⠉⠈⠁⠈⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠁⡏⢐⠀⠁⣸⠏⢦⡇⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢹⣵⠘⢸⠀⠀⠀⠸⣋⣯⣴⣷⣾⡂⣄⡲⣪⢬⣰⠦⠬⠧⡦⣈⢀⡏⠀⠀⡇⠏⢡⢰⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡏⣎⢸⠀⠀⠀⣼⢿⢸⠀⡄⢸⠀⠀⠀⣄⢻⠀⠀⣄⠳⠸⡆⠘⢸⠀⠀⡇⢡⡰⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢹⢧⠀⠀⠀⢠⡆⠀⠘⠀⢀⠀⠀⠀⠆⡈⢳⠀⠀⠀⢠⠀⣷⢠⠀⠀⡹⡰⠋⣼⠉⠛⠛⠾⠔⠤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡘⡏⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠈⠀⠀⡿⠀⠀⠁⣸⠏⣿⢴⣠⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣟⠀⠀⠀⠇⠀⠀⡄⠘⠀⠀⠈⠀⠀⡇⠘⠀⠀⢸⠀⠁⢰⠀⠀⡟⠎⣾⢄⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⠀⠀⡄⠘⠀⠀⢣⠈⠀⡆⠘⠀⡀⢸⠀⠀⢿⠀⡏⠀⠀⠁⣿⣴⠀⠀⢇⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠦⠙⠈⣧⠈⠀⠀⢢⠈⠀⡄⠘⠀⢠⠃⠇⣸⠃⢰⠀⠋⡴⢀⠀⠀⠀⡆⢫⠀⠀⠀⠀⠀⠅⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠊⠗⠿⡶⣴⠠⣐⠤⢲⠙⠉⠀⢄⠐⠀⡄⠳⠉⡄⡞⠉⡞⠴⣠⠄⠉⠀⠀⠀⠀⠀⣿⠁⠉⠋⠖⠽⣩⢈ ⠀⠀⠀⠀⠀⠀⠃⠾⡲⣤⡠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠄⠤⡤⢱⡀⣀⣢⠈⠀⠀⠀⠀⢠⠉⠉⠚⠖⠭⣫⣒⢤⡠⣀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⠀⠀⣿⠉⠒⠖⠭⣫⣒⠤⡤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠉⠉⠞⣠⠀⠀⠏⣶⠴⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠉⠀⠀⠉⠉⠚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠒⠄⡤⢀⠀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠁⠉⠋⠛⠽⡩⣐⢒⠤⣠⣀⠀⠀

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⠚⠒⠀⠄⣧⢹⠔⣿⡟⠀⡸⠀⠋⠔⡉⠂⠗⠰⠀⠀⠁⠀⢣⡿⠾⢠⠒⠒⠶⣹ ⠀⠀⠀⠀⠀⢷⡀⢅⣾⠀⢸⡆⣼⣀⠀⠊⢠⠁⠔⢁⠋⠀⡎⣼⢀⠀⠉⠀⠁⡏ ⠙⠀⠵⠤⠥⡤⣥⣭⢸⠀⢼⡀⢠⠁⡜⢀⠔⢁⠔⢁⣰⠎⢀⣹⣈⣁⣕⢛⡿⢉ ⣦⢿⠙⢄⡑⣢⢈⠀⡇⠀⠀⠀⠋⡟⣿⠊⡿⢚⠛⡠⠟⢈⠀⣽⠕⢜⣩⡟⣴⣣ ⠤⠚⣒⣶⠲⢝⡙⠢⡏⠀⠁⠈⢸⡀⣇⠀⢀⠋⢹⡜⠁⢸⠀⢻⣿⡶⣾⠞⠷⢠ ⠀⡆⠚⡈⠀⠣⡇⣀⣧⠀⡀⢿⡄⠪⠈⢄⠛⣛⣒⠖⢓⢸⠀⢸⢣⣰⡜⠈⡘⠀ ⠀⠀⢇⠆⠈⡀⡇⠘⡇⠀⡇⣶⠀⠀⠋⠛⠿⠮⠈⡇⡎⢣⠀⣿⡰⡎⢶⢳⢰⠀ ⠀⠀⠀⠰⢣⡄⡄⢰⡇⠀⡇⢸⠃⡿⣿⣴⣤⢰⢿⡏⢹⡟⠀⣼⠂⡌⠈⡇⠀⠀ ⠀⠀⠀⡇⡄⠘⢃⡇⡇⠀⡇⣿⣴⣠⠀⠀⠁⠟⡰⣤⣷⣹⠀⢀⢀⢀⢸⡇⠀⠀ ⠀⠀⠀⡀⠘⢣⠀⡟⡿⠀⡇⢀⠀⠀⠀⠀⡷⢀⠀⠀⠀⣆⠀⠀⡐⠇⠀⣿⠀⠀ ⠀⠀⠀⠀⢰⡇⠁⣿⣷⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠑⠘⠁⢀⠸⠀ ⠀⠀⠀⠀⡇⠀⣽⢋⡧⠀⠀⠀⠀⠀⠍⠿⠘⠀⠀⠀⠀⠀⠀⡀⠳⢹⡇⠀⢃⠀ ⠀⠀⠀⠀⡄⠞⣏⢼⠸⠉⠞⠓⠛⠙⡄⣶⢰⠀⠈⠁⠟⡿⠀⠁⡿⣿⠸⠀⡀⠰ ⠒⠒⠒⠒⠒⣿⡛⣾⢺⠛⢺⡟⣶⣤⠀⠀⠀⠀⠤⡟⣿⣿⠹⠁⣇⣿⢻⠒⠒⡖ ⠀⠀⠀⠀⠀⣧⣷⣷⢨⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡀⣧⣷⣿⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⡞⡈⠀⢄⢨⠓⠛⠙⠂⠋⠓⠑⠈⠋⠐⡼⠀⡸⡴⡎⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢣⣞⠀⠀⣾⡸⠀⢰⠀⡀⢱⠀⢂⠸⠡⢠⠀⣰⠡⢰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢮⠸⠀⢀⢀⢰⠀⠀⠀⢠⢀⠀⠀⡇⠀⠃⢡⡾⠴⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⢸⠀⠇⠀⠃⠀⠁⠀⡇⠀⡇⠀⡘⠀⡏⡼⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠒⠈⠸⠀⢡⠀⢁⠀⠁⡆⠃⠀⠊⣠⠀⠀⠹⠀⠀⠀⠉ ⠀⠀⠀⠀⠉⠚⠖⡤⣠⣀⡀⡀⠤⠒⠀⠀⢜⡂⢸⡠⢀⠄⠀⠁⠈⣗⠞⠲⣔⠠ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⡇⠓⠞⠢⣔⣠⡀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠂⠔⡤⢠⠄⣠⢀⠀⠀⠀⠉⠋⠝⠤⠒⠤⡠

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⠀⢡⡄⡋⠀⠃⡠⣀⢄⠈⣠⣏⣿⡄⣿⠀⠀⡄⠀⠉⠋⢶⠄⢍⡐⢍⣸⡉⣈ ⠀⡂⠁⣠⠎⢀⠀⠄⠠⡑⠡⣇⢼⠀⢸⠀⠊⠔⣀⡆⢀⡅⢀⠀⡷⣼⣷⣰⢁ ⠀⠀⡆⢿⢘⠉⠒⠲⠃⠈⢄⠸⢸⠀⢏⣀⠡⠐⠢⣌⠫⣨⢆⢺⠁⣄⢦⠙⡇ ⠀⠀⠊⢢⡠⢈⠄⢀⠁⡐⠣⢫⢈⡔⢊⡠⠀⠀⠀⡄⠄⣥⠫⢹⠖⢉⠛⡹⠞ ⠀⡇⣞⣄⡰⠀⠈⠔⢀⠈⠕⢠⣄⡦⠈⠁⡀⠁⡀⠀⠂⡠⣄⢑⠗⣻⣧⡼⠀ ⠂⢹⠀⠁⠀⣎⢘⠉⠐⠠⢁⠉⠂⠒⡈⠠⢑⠀⢀⠞⢀⠀⠀⠀⣇⡜⣀⠀⠀ ⠀⠚⢂⠈⣦⠁⣠⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⡀⣢⣣⣱⢠⠂⢀⢤⣇⠀⠀⠀ ⠀⢂⢈⡉⡜⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢢⡭⠈⡎⠃⠀⠀ ⠀⠀⣄⣾⢀⠁⠉⠉⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠆⠙⡀⡷⠀⠀ ⠀⠀⠗⢷⠛⡶⣶⣠⢀⠀⠀⠀⠀⠳⠟⠿⠛⠛⠘⠀⠀⠀⠀⠆⢥⣕⡷⢸⠀ ⠀⠀⡅⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⣤⣤⡶⡶⠙⠀⠀⡃⣙⣀⠈⢸⠀ ⠀⠀⡄⠐⡉⠌⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⡫⠲⣏⠗⢔⠀⠀ ⠀⠀⠇⡐⢃⣠⣀⢊⠫⠀⠂⠛⠒⠑⠉⠉⠀⡏⠐⠀⠀⠀⢸⡕⣆⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⠌⠀⠙⠚⠄⡊⣠⢲⠤⠈⠂⢠⠀⠀⠀⠁⣼⡌⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⠀⠀⣀⠀⠀⠀⠀⠀⠀⢺⢀⠀⠀⠀⠀⡇⠞⢀⠀⠀⠀⠀⠀

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⡿⢀⡀⠀⠀⠸⠀⡇⠋⢧⣠⣞⢀⢄⠂⠐⠁⠉⠉⠀⠀⠁⠎⣇⠌⢘⠀⠀⠀ ⢀⠀⠀⠁⠂⢡⠀⡇⢸⠸⡄⠛⠯⠉⠉⠀⠀⠀⠀⠀⡉⠀⠘⡆⠃⠀⠀⠀⠀ ⠀⠀⡀⢀⠀⡇⠀⡄⢀⢰⠈⣀⠀⠀⢠⢅⠴⢀⠊⡡⣿⠻⠞⢀⡀⢡⠁⠘⠀ ⠠⠄⠄⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢁⠟⣿⡿⣽⣭⡷⢸⠀⠀⡇⣼⠀⠀ ⠀⠀⠁⠉⠉⠉⢸⠀⠀⠉⠈⠐⠊⡇⠚⢠⠀⡀⣄⣷⣿⣿⢸⠀⡇⡘⢸⠀⠀ ⣀⣄⣶⢈⠁⣠⢨⠀⠀⠀⠀⠂⡠⠁⠋⢾⠀⠀⠀⠀⣄⣷⢹⠀⡇⠄⢸⠀⠀ ⠀⠁⢁⢠⠀⠟⣿⠀⠀⠸⠀⠆⠤⣠⢀⠀⠀⠀⠀⠀⠀⡀⣷⠀⡀⠀⠀⠀⠀ ⠀⠀⡇⠀⡇⣿⣼⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⡀⣇⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⣾⣠⢨⢰⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⡄⣤⣤⣦⣤⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⡌⠋⠜⢀⠇⠀⠀⠳⠝⡻⢁⠴⠀⠀⠀⠀⠀⠀⠁⠋⢱⠀⠘⠀⠀⠀ ⠀⠒⠫⢇⢤⢶⠀⠀⠘⠛⡟⣾⣴⢀⠀⠀⠁⠉⠀⢄⡤⣢⠬⣴⢹⢠⠀⠀⠀ ⠂⠮⠉⣥⡱⣟⢱⠚⢁⡀⡈⠘⠀⠅⡋⠖⣠⢀⡞⢋⢄⢰⠀⠠⡇⠘⢗⠀⠘ ⠿⠀⡛⠡⡧⣳⡰⣿⡼⠈⢅⢇⣋⢚⠈⠇⣤⠈⢰⢁⠘⠠⡄⠀⠁⢆⡙⡔⠀ ⠧⠆⣿⠀⣆⠀⡸⡅⣔⢱⠀⠰⣡⠡⡁⡦⢂⠄⠰⠀⢠⡄⠀⢸⡚⡾⢠⠀⠀ ⠶⠀⢿⠀⡃⠐⣄⠙⡑⡠⠘⠀⡀⠱⢂⠢⢄⢓⡈⠢⠈⠀⠉⠟⡠⠀⠀⠀⠀

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⡟⣿⠀⠀⠤⢀⠀⠀⢃⠀⠀⠀⡇⠀⠁⡰⡟⣴⣁⣿⣠⣀⢤⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡸⢀⠁⡴⢜⠀⠀⠀⠀⠀ ⣾⢠⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⡇⡽⣼⠃⣰⠀⡼⢀⠀⠀⠀⠀⠀⣀⢀⠤⠤⠦⠒⠒⠒⠒⠓⠒⠗⡠⢸⠇⡸⠃⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠋⠖⢸⠀⠀⡇⣿⢠⡜⠀⠀⢫⠟⠤⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⡆⠈⢠⣼⠀⡘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠖⠤⣀⠀⠀⢣⠀⠀⡇⣾⠀⢸⠀⠀⣄⣶⣠⣤⣀⣥⣬⠲⠉⠋⠚⠠⠀⠀⠊⡿⢿⠙⠀⢧⠂⢀⠀⢼⠘⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸⠃⣨⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⣠⠀⠁⠚⡠⠁⣿⣿⣿⢿⡼⢠⠀⠃⠀⢳⠀⠃⢸⠀⠀ ⠒⠀⠀⠀⠒⠒⠀⠂⠄⡦⠘⠀⠀⠀⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡠⠀⠁⠟⣿⠿⣿⣶⣷⣿⣿⡿⢸⠀⠀⡇⠀⡇⣿⣾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠁⠞⢀⠁⠶⣶⣶⣿⣿⣿⣿⠿⠿⡛⣿⢸⠀⠀⡄⠘⡇⣿⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⡇⠀⠀⠉⠈⠀⠁⠉⣇⢛⠞⢠⠀⠀⠀⠀⣀⣦⣿⣿⣝⣿⣿⢸⠀⠀⠀⢹⡼⡟⠀⠀⠀⠀ ⠿⠿⠿⠿⣿⣾⣠⣤⣤⣶⣿⠀⠀⠀⡆⣠⢀⠀⠀⠆⢪⠴⡤⣠⢄⠻⠈⠀⠀⠀⠀⠀⠀⣄⣿⣿⣿⢹⠀⠀⠀⣿⠀⣿⠀⠀⠀⠀ ⠀⠀⡀⡄⣜⢃⢀⠃⣠⠀⡏⠀⠀⠀⠀⠘⠀⠀⠀⡼⠀⠀⠉⠓⠿⣶⣤⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿⠀⠀⠀⢸⠀⣦⠀⠀⠀⠀ ⠀⠀⠁⡜⠀⢸⠀⠀⠁⡟⣿⢸⠀⠀⠀⢘⠀⠀⠀⢛⠛⡲⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⠀⡇⢀⠀⠀⡿⣿⣿⢹⠀⠀⠀⢁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣏⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⡏⣿⣿⣾⣇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⠽⣀⣀⣀⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠁⣿⣿⣶⢸⡀⠸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⢻⠟⡿⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⣼⢀⠀⠞⠀⢰⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⠀⠄⠤⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠁⣼⠀⠀⡊⢠⠀⠇⠀⠀⠀⡆⠘⠉⠋⠟⠨⢀⠃⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠈⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⠗⣾⣿⢈⠀⠀⡄⠘⠀⠀⠀⣿⣿⢿⣿⢻⠟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠋⠟⡤⣳⢿⠘⠀⢸⠀⠀⠀⠀⠀ ⠁⠉⠛⠼⠇⢰⣾⠄⣧⣾⠀⠀⠀⢣⠀⠟⠛⣿⣿⣿⣶⣠⢀⠀⠀⠀⠀⠀⠁⠈⠀⠀⡀⣤⣡⣍⡙⢤⡷⣄⢿⠈⢰⠀⠀⠀⠀⠀ ⠀⠀⠁⣀⣄⠳⢹⠎⠷⠿⠙⠀⠀⡞⡬⣀⣰⣀⣼⢀⠀⠀⠁⠉⠒⠤⠋⡿⣴⢀⠀⠟⠼⠲⡈⢰⡀⢠⠱⠀⡇⢹⠀⠂⡇⠀⠀⠀ ⠀⠣⣌⠳⠃⡄⣌⠹⡿⣿⣰⠋⢾⢀⢰⠀⡇⠀⢇⠀⠀⠀⠁⠋⠞⡤⣠⠀⠀⠀⡟⢣⢇⠀⡀⣦⠀⠙⡀⠈⠀⣿⠀⠄⡜⠀⠃⠸ ⠛⠘⠀⠁⣌⢣⠄⡿⣾⢽⠎⣦⣿⠺⠇⠀⠀⢳⡀⠾⠤⣤⣀⠀⠀⠀⡾⣦⠈⠇⣸⡀⠸⢰⠀⠁⠀⡄⠘⠐⠀⡇⠀⢹⢰⠋⣰⠀ ⣶⢰⠀⡿⣻⠀⢣⡀⣼⣷⢌⡈⣵⣷⡹⢸⠀⡀⠘⢇⠸⣿⣀⠤⠳⠀⢸⠀⢆⡈⢸⠀⡄⡟⠀⡄⠈⠀⢑⠀⠀⣼⡇⣿⠞⢠⠀⠀ ⣃⢸⠂⣿⣾⢠⠀⣦⢸⠀⢹⡄⡑⢣⣄⣷⠀⠀⠇⠀⢣⣀⢳⠀⠀⢦⢸⢃⠀⣄⢻⠀⠀⣆⠸⠀⢃⠀⡇⠘⡏⠹⡿⣰⠀⠀⠀⠀ ⡋⢈⠀⣯⣽⠸⠀⠂⢸⠀⣢⠙⠀⢀⢦⠈⢳⠀⠀⠀⡀⢣⠀⢣⡄⠘⡄⠑⢢⠈⡀⠶⠈⠀⠀⠀⡄⠐⡀⠃⢡⡼⢀⠀⠀⠀⠀⠀ ⣶⢰⠀⣶⣾⢰⠀⠆⢼⠘⠀⣆⢾⢌⠓⡄⡔⠸⠀⠀⠀⠀⢣⠈⢆⡌⠱⡀⢦⢕⠑⠀⣄⠱⠀⠀⠁⠋⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀

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⣿⣾⣶⣴⣤⣀⠉⠛⡶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣇⣿⢻⠟⡀⣿⣿⠸⠀⣀⠀⠋⠴⢀⠀⢹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠛⠒⠒⠶⣼⣀⢀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⡁⠀⠀⠀⣷⣿⣾⠀⣧⣿⢨⠀⠋⠔⢀⠁⠔⠀⡀⢸⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⠘⠀⠀⠇⡆⡘⢀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⡄⣿⢻⢻⡿⣿⢻⡀⠀⠀⠊⣠⠀⠜⠠⢯⠀⢸⠀⠆⠀⠈⠀⠘⠀⠀ ⠀⣦⠘⠀⠀⢳⡆⠘⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⣸⢀⠤⠛⡟⣿⣴⣤⣷⣧⢤⠤⡠⠀⠋⡠⠁⠞⢸⠀⢸⠀⠀⣼⠏⣿⠀⠀⠀ ⠐⠀⢦⠈⠀⡄⠘⣏⠈⠀⠀⠀⠀⢀⠀⠀⠀⠀⡇⢀⠟⣿⣾⣠⠀⠀⠀⡀⠀⢡⠀⠋⡴⢀⠋⡷⠿⢸⠀⢸⠀⠀⢛⣾⣹⠀⠀⠀ ⠀⠠⠀⣌⠹⠀⣇⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡟⣾⣠⠀⠀⠀⠀⠀⠀⡀⢠⢁⠉⠉⡤⢎⡦⣏⢸⠀⠀⠀⠀⣿⢠⣼⠀⠀⠀ ⠀⠀⠀⠀⡄⢻⠀⣴⣷⢹⠀⠀⠀⣼⠀⠀⠀⠀⡆⣠⠀⠀⠀⠀⠀⠀⠀⠛⠉⠒⠒⠐⣀⣤⢀⠀⡀⢢⠈⠂⠀⠇⢰⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⢠⠀⡀⣷⠘⠀⠁⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠤⡲⢀⠀⠀⠀⠀⠀⢆⠈⠀⡆⠀⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢡⠄⠀⠀⡄⢿⠀⡏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⢰⠀⡘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⡆⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠑⠀⠀⠀⠁⠀⣦⠘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⢃⠀⠀⠀⠁⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢰⠀⠀⠀⠀⠀⢯⠈⠀⡇⠈⠀⠀⠀ ⠀⠀⠀⠀⠸⠀⡀⠸⠀⠏⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠟⠿⠹⠉⡟⣿⠸⡄⢱⠀⠀⠀ ⠀⠀⠀⠀⡆⠀⠀⠇⠏⣿⣿⣴⠀⣇⢸⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣷⣾⣶⣶⣠⠀⢦⠛⡟⠘⠀⠀ ⠀⠀⠀⠀⠀⢱⠀⠁⣿⣿⣿⠟⣿⣶⢸⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣼⢷⠘⠀ ⠀⠀⠀⠀⠀⡆⠈⡄⣿⣧⣶⣷⣿⠐⠃⠀⠀⠀⠀⠀⠀⠉⠋⠛⠿⡿⢩⠟⡰⠀⠀⠀⠀⠀⠀⠀⠂⠚⠠⠀⠀⠋⡼⡇⢬⡀⢠⠀ ⠀⠀⠀⠁⠀⠀⢰⠀⢺⣠⠶⠶⠿⠘⡆⠀⠀⠀⠀⠀⠀⡁⡟⣿⣿⣾⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠦⠓⡾⣹⠀⡅⢣⠀⠀⠀ ⠀⠀⢆⡌⠘⠀⡇⠀⢹⠁⠁⠽⣤⢸⠀⠸⠀⠀⠀⠅⡿⣶⣼⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠾⠚⠚⢹⢄⡿⠀⠘⠀⠀ ⠀⠀⠀⢇⢏⠈⠀⠀⡆⣿⣿⣯⡴⠉⡿⢿⠀⠀⠀⣀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⡿⢶⠒⠑⢹⢃⢿⡄⠀⡆⠈⢃⠁⢸ ⠀⠀⠀⠀⣿⢻⠀⠀⠀⣄⢳⠞⡤⢃⣆⣿⠘⠀⠀⠀⠀⠀⠀⢣⠉⠉⠉⠛⠛⠖⠶⣷⣿⢙⡀⠘⠀⠀⣀⠀⣷⠀⠀⠀⢸⠀⡏⠀ ⡦⡦⣴⠀⡏⣷⠸⠀⠀⠸⠀⢡⠀⠂⢄⡝⢻⠀⠀⠀⠀⠀⠀⠀⣣⢌⢢⡀⣄⣤⠱⡇⡀⡀⢦⢻⠀⠀⠀⠀⡇⠀⠀⠀⢰⠃⣾⠀ ⡖⣴⠶⠀⣿⡀⣷⠘⠀⡇⠈⡇⠄⠘⣆⡾⣿⠘⠀⠀⢣⠀⠀⠈⠀⢧⠘⢄⠘⠀⠀⣆⢹⠀⠀⡄⠘⠀⠀⠀⡇⠀⠀⡆⠁⡿⢠⠀ ⠀⠀⠀⠀⣸⠀⡀⢱⠈⡀⢹⠀⢸⡄⠐⠄⡑⣿⠀⠀⡀⠱⠀⢣⠀⠀⢧⠘⡀⠣⠀⠀⡄⠱⠀⠀⠸⠀⠰⠀⠸⠀⠁⢰⡾⢠⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⡀⣷⠘⣆⠘⢃⠀⡀⠱⠀⣆⢹⠀⠂⡀⠱⠀⢦⠈⠀⣦⠹⠀⢆⠋⠈⡀⠸⠀⠈⠆⠀⠆⠀⠋⣠⠜⢀⠀⠀⠀ ⠀⠀⠀⠄⠀⠀⠀⠀⡀⣦⠙⠌⠀⠹⠈⠀⢆⠐⡀⠱⠀⢣⡄⠱⠀⣕⠐⠀⣄⢿⠈⡄⢷⠘⡄⠀⠁⠠⠎⢁⠟⢖⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠶⡓⠌⡈⠳⠈⠀⡇⠹⠀⢠⡀⠠⡀⢤⠲⠈⡀⣦⠻⠉⡉⠩⠩⠋⡿⢴⣠⢀⠀⠀⠀⠀⠀⠀⠀

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Warning: This item may contain sensitive themes such as nudity.

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⠀⡄⢸⠀⠋⠖⣺⡀⣀⣉⣟⣿⣿⣿⣙⣄⣤⣦⣶⣶⠻⠐⠀⠀⠀⠀⠀⠀⠀⠀⣤⢿⣿⠸⠀⠦⣴⠻⣆⢻⠀⠀⣧⢸⡇⣾⢳⣎⣻⣀⣀⣀⣀⣁⢾⢃⡴⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢧⣭⢀⣀⠁⠛⡷⣾⣠⢸⠀⣾⣝⠦⠓⠉⠈⠀⠀⠀⠀⠀⠂⠗⠿⠹⠀⠀⠀⠀⣆⢻⠀⠀⠀⡄⢳⡄⠸⠀⡆⢸⡇⢸⡀⣦⡛⢭⠯⠛⡶⣫⡞⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡁⣿⢿⢿⣾⣴⢀⠀⡇⣇⠇⢸⡗⠀⠀⡀⣄⠯⠲⠙⠉⠈⠀⠀⡀⢀⠀⠀⠀⠀⠀⡄⢷⠈⠀⠁⡌⢻⠀⠀⠀⢸⡄⢸⠀⠀⠀⡴⣠⣄⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠒⡟⣿⣴⢀⠀⠀⠀⠀⡅⡸⠃⢱⠀⠀⠀⠀⠀⡀⢳⠀⡢⣟⣭⣿⠻⠛⠛⠈⠀⠀⠀⠀⡀⢷⠘⠀⣄⣷⠈⠀⠀⢸⠀⣿⠉⠉⠉⠛⠛⠛⠿⠾⠶⠶⠷⠻⠛⠛⠛⠛⠉⠉⠀ ⠀⣀⠀⢀⠀⠀⠀⠀⠀⠀⣼⢰⡜⡟⠀⠀⠀⠀⠀⠀⡀⢿⡿⣻⣾⣴⣠⣀⣄⣤⠦⠲⠒⠷⠩⠉⣿⠙⠀⡄⢻⠀⠀⢸⠀⣇⣷⣷⣿⣿⣾⣶⢿⠛⠛⠿⠷⣤⣥⣿⣮⣴⣠⣍⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⢿⣇⠀⠀⠀⠀⠀⠀⠁⣾⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣷⣦⣿⣼⠀⠀⢸⠀⡟⡶⣤⣀⢀⢷⠀⠀⠀⣇⣄⣧⠶⠛⠉⠏⣿⣫⢛⠾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⡨⡇⡏⠀⠀⠀⠀⠃⠿⣠⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⡄⢿⡘⢿⠀⠁⠀⠀⣧⠻⠈⠀⠀⡀⢹⠀⠀⡀⢸⡀⠸⠀⡀⣇⣠⢀⠀⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡾⡇⣿⣯⢸⠀⠀⠟⣾⢠⠀⠀⠀⠀⠀⠀⠀⠇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣟⡿⠀⡇⠀⠀⡇⣸⢿⠀⠀⠀⡇⠈⠀⠀⢇⠀⢳⠀⠀⡆⠀⠀⠀⠀ ⠀⠀⠀⠸⠀⠀⠀⠀⠃⢰⣼⡏⣿⣸⢸⠀⡟⣞⢀⠀⠀⠀⠀⠀⠀⠁⠟⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣗⠀⡇⠀⠀⡇⣽⣿⢻⠀⠀⠀⢿⠀⠀⡆⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⡜⠇⢠⣿⣴⢀⢸⠏⣿⢀⠀⠀⠀⠀⠀⠀⠶⣶⣴⢠⠀⠀⠀⠀⠀⠀⠀⠄⠳⠀⠀⡇⡟⠀⡄⠀⠀⣿⣿⣿⣿⠈⠀⠀⡄⠘⠀⠀⢣⡇⢸⠀⠸⠀⠀⠀⠀ ⠀⠀⠀⣷⠸⠀⠀⠀⢸⡇⠁⣼⠀⠇⣾⢿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⣻⠀⢸⠀⠃⣸⣦⣿⣿⢿⠶⠙⠀⢰⠀⠀⡄⡇⢸⠇⢺⠀⠀⠀⠀ ⢦⠙⠀⡀⢧⠀⠀⠀⢹⠀⡇⢸⠀⠀⣿⡏⠙⠉⠈⠀⠀⠋⠿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢹⠀⢸⠀⢸⠀⡇⢸⠀⣆⣿⣿⠀⡀⢦⠹⠀⠀⠀⡆⢸⡇⢀⠀⠀⠀⠀ ⠀⡷⢷⠙⡀⢻⠀⡇⡏⠀⡇⢠⠀⠀⣿⣿⣿⣾⣿⢿⠞⣷⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠙⢸⠀⢰⠀⡇⢸⠀⠀⡨⣀⢤⠦⣗⡹⢳⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀ ⠀⡀⡣⣷⢿⣟⠘⡄⢸⠀⡿⠏⠿⡿⣴⣶⣶⣿⣽⣨⣿⡇⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣷⠀⠀⠀⠀⡇⢠⠀⠀⣆⠘⠀⠀⠀⣦⣿⢻⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⡀⢧⣆⣿⢿⠉⢰⠀⣿⣻⣿⣿⢿⡿⣿⣿⣿⣿⣿⡇⠹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⣿⠿⠙⠈⠀⣆⣿⢸⠀⠁⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⣦⣿⣿⢰⡇⣿⣼⡀⣄⡤⣤⣂⣶⣶⣶⣥⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⡎⠃⠀⡀⠀⠀⡇⠀⠀⠀⠀⡄⣿⣻⣦⢾⠷⣿⣿⠀⡇⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⠿⣿⣿⢸⡇⣸⠀⠃⠈⠀⠀⠀⠀⠀⠋⡾⢀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⢀⢦⠃⢸⠁⢹⠀⠀⠀⡘⠀⠀⠀⠃⠴⣠⡀⢳⣄⠹⡆⣿⠀⡏⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⣿⢾⣿⢀⡇⣷⠹⠀⢧⠉⠀⠀⠁⠉⣠⠀⠀⠀⠀⠀⠀⠀⡇⣿⣟⣭⢿⠻⠙⠉⠈⠁⡯⢸⣦⣴⠀⠀⠀⢸⠀⠀⠀⠀⠁⠛⠙⠋⢰⡀⢸⣧⠀⣸⠀⠀⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⣗⣧⣿⢹⡿⠀⣷⠼⠀⣄⠳⠆⣥⢈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢼⠀⠀⠀⠏⣿⣿⣬⣠⠀⠀⢸⡾⡇⢸⠀⠁⣼⠀⠀⢀ ⠀⠀⠀⠀⠀⡇⡇⣻⣦⣿⠀⡇⣿⠈⠀⠀⠏⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⢰⣸⣷⣛⢛⠀⠀⠀⢿⠈⠀⠀⣆⢸⠀⣆⠘⠁⡞⢃⢰⡟⢠⠀⡇⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠸⣿⠁⣿⠀⠀⣿⢿⠋⡼⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡦⣝⣶⣿⢿⢻⠛⡏⣺⢛⠀⠀⣼⢷⠷⠙⠀⣆⠻⠟⣿⣸⠁⡼⠀⢸⠀⠀⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⡟⣧⠿⢸⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣷⣭⣯⣾⣶⣻⣠⠀⢿⡿⢿⡼⢿⠙⣄⣷⣿⠾⣨⠀⠇⢠⠀⡏⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⢹⣿⣿⣿⣿⣿⣿⢰⠀⠟⢻⠋⠛⠛⠙⠉⠉⠉⠀⠤⠒⠒⠐⠀⠀⠀⠀⠀⡼⣰⠀⠀⠀⠀⠀⠇⣿⣿⣾⣠⢟⣼⣤⣼⢀⣟⢸⠀⡏⠀⠁⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⡇⣷⢿⣿⣿⣿⣿⣿⠀⠏⣷⣾⣶⣶⣿⣾⣾⣶⣷⣿⠷⠻⠛⠉⠉⠀⠀⠀⡇⢺⠀⠀⠀⠀⠀⠀⡇⣿⣠⠋⡷⣿⢀⠃⢠⠀⣿⢰⠃⢸⠀⡎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣿⡇⣿⣿⣼⡷⣦⣿⠇⣸⡇⢸⠀⠃⣿⣿⢀⠋⡵⢋⡽⣼⢀⣀⣁⣯⠾⠿⡽⠈⠀⠀⠀⠀⠀⠀⣿⣿⡿⣛⡻⢠⠀⡾⠀⡇⡞⠀⡇⢀⠃⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⣼⠘⡄⣿⢰⡿⠈⣿⡾⠈⡄⢸⠀⡾⡀⣧⠟⢠⣯⣱⡿⠀⠁⠞⣠⢀⡤⢁⣸⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣸⠀⡇⢠⠀⣿⢸⠀⢸⠀⡼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⢸⠀⣿⡇⣿⢸⣦⣿⠀⠀⢷⠇⢸⠀⡿⢠⠃⣰⡟⢻⠞⣩⠉⠛⠖⠵⡿⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣡⣼⠀⠟⣸⠀⠁⣿⢀⠇⢠⠇⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⡜⠀⣿⡿⣿⢻⠀⣹⢀⠀⡇⡏⠂⠇⢰⠁⣼⠋⣾⣵⣫⢶⣠⢀⠋⣷⣰⠀⠀⠀⠀⠀⢸⠀⡇⣾⢃⡼⠀⠃⣾⠀⠀⡏⣸⠀⡎⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⠙⣷⣼⣿⣧⠸⣜⠘⠸⠀⣿⠁⣾⠀⡟⣴⣁⠟⣴⢀⠀⠁⡼⢋⡾⠀⠀⠀⠀⠀⡇⢠⠀⣿⢿⣰⠀⠁⡿⢀⠀⠁⣿⠀⠃⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⡏⣟⣷⡾⣿⢻⣿⢻⠀⣷⡏⢹⡼⢡⠟⣥⣸⠀⠀⠀⠁⡞⣣⢰⠀⠀⠀⠀⠀⣿⠀⠇⣿⣠⠀⠀⡟⢠⠀⠀⡿⢰⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣮⠹⢳⣦⣿⣞⣟⠀⡇⣿⡀⡿⣾⢀⡴⠀⠀⠀⠆⣴⠃⣿⠀⠀⠀⡆⠀⠃⣸⠀⣿⢸⠀⠀⡟⢰⠀⠀⠇⣴⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⡹⠻⡄⣿⣎⢹⡇⢸⡟⣼⠀⠀⠀⠀⠀⠀⠀⠏⣿⢀⠀⠀⠀⠙⠀⡏⢀⡇⣿⢀⠀⡟⣰⠀⠀⠃⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⡹⠱⡀⢳⣌⣿⢸⣿⢸⠀⠀⠀⠀⠀⠉⡞⣧⢰⠀⠀⠀⡇⢰⠇⣴⠀⣿⣰⠁⡾⢠⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠁⠉⣿⣿⣿⢠⠀⠞⣷⣿⣹⡇⠀⠀⠁⡏⢠⠀⠀⠀⠀⡀⢋⠞⣤⣀⣀⠀⠀⢉⡟⠸⠀⡀⠀⠀⠀⠀⠀⠀⡄⢻⠀⢟⣮⠸⠋⣿⣠⠀⠀⠀⠀⠁⠉⠟⡿⣴ ⣿⣾⣴⣤⣠⣀⣀⢀⠀⡀⣿⣿⠛⡴⢀⠏⣻⣧⡏⠸⠀⡇⢸⠀⠀⠃⠚⡧⣾⢀⠉⠛⠚⠴⣤⣡⣟⣠⠀⠀⠀⠀⠀⠀⠋⡴⠀⠀⡇⢼⣿⠋⣿⣾⢒⠖⠴⡤⣤⣤⣤⣦⣷⣿⠙ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⢉⠀⡄⣷⡙⡬⣿⢹⠀⡇⢸⠀⠀⡇⢿⣫⠶⣻⣋⠙⠁⠈⠃⡼⢀⠀⠀⠀⠁⠞⠰⠀⣀⠀⠀⠀⡤⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣹⢀⠀⠁⡉⢧⣤⣿⠀⡄⢸⠀⠀⡇⣟⢸⠀⠀⠀⠀⠀⠋⣰⠀⠀⠀⠉⠞⣠⠀⠀⠁⠛⠿⠀⠀⡏⣴⣿⢀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠁⠟⣿ ⠀⠀⠀⠀⠉⠛⠉⠉⠉⠉⠉⡍⣿⠿⠿⠿⣿⣿⠸⡄⠀⠀⢹⠉⠉⡗⢻⠀⠀⠀⠀⠁⡾⢠⠀⠀⠋⡴⢀⠀⠁⠏⡴⣇⣿⢠⠀⠏⣰⠀⣿⢿⠿⠿⠿⠿⣾⣰⣟⠰⠁⠟⣿⢾⣠ ⢿⠙⠀⠀⣷⣽⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⢧⢸⠀⠀⠀⣿⢀⠀⠀⢸⠀⠀⠀⠋⣴⠀⠁⠊⡤⢀⠀⠋⠖⣠⠀⠁⡿⣠⠀⠏⢰⠀⠁⣿⠉⠉⠈⠀⠀⠛⡴⣡⠟⣿⣻⠛⠀⠁ ⣿⣿⢿⠉⠀⡀⣦⠹⠈⡆⣿⠾⠶⠶⡶⣤⣤⣀⢻⠀⠀⠀⣇⠀⠀⠀⢸⠁⠀⠏⣾⠿⠖⣠⠀⠁⠚⡴⢀⠀⠁⠉⡟⢠⠀⡟⢠⠀⠀⡇⣿⣟⣰⢁⠟⡴⢉⠾⣤⣅⣿⢟⠿⣯⣴ ⣤⣷⣿⣿⢿⠙⠀⡀⣦⠻⠀⣄⠳⠈⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀⢸⠃⡟⣻⡷⣿⠱⠛⡿⣻⠿⠛⠛⠛⠛⡼⢀⠀⡟⣿⠀⠀⠀⡇⣿⢡⠞⣤⢋⡞⣠⠀⠋⡿⣿⣿⣴⢀⠋ ⠈⠦⣀⣦⣶⣿⢿⠛⠉⡀⢦⠙⠈⣄⠷⠈⠀⠀⡇⠘⠀⠀⡇⠀⠀⠀⢹⣸⣅⣿⣿⢶⣼⢀⡇⡊⣐⣀⠀⡃⣼⠀⠁⡾⣀⣧⠸⠀⠀⡇⣿⣠⢋⡾⣠⠋⠟⣿⣾⣴⣠⠀⠉⡿⣸ ⢶⠶⠿⠿⠻⠛⣛⣯⣿⠿⠛⡈⢦⠻⠀⣄⠳⠀⡇⢸⠀⠀⡇⠀⠀⠀⣹⠀⡘⡀⢀⠄⢸⠀⡀⠀⠀⠀⠏⣿⠴⠿⡴⢀⠀⡏⢸⠀⠀⡀⣿⠟⣿⠿⣿⣽⣫⠛⢿⠿⡷⣼⣏⣰⠀ ⠀⠀⣆⠙⠀⠀⠀⣇⠘⣀⣃⣜⣶⣷⣿⠻⡉⢧⡟⢹⠀⠀⡄⢳⠳⠈⣦⠙⠀⠀⠀⠀⢻⠀⠀⠀⠉⡼⣟⢲⡿⣴⢀⠁⡞⣇⢸⠀⠀⠀⣿⣶⣧⣴⣡⣁⡞⢁⡟⣠⡈⠃⣾⠀⠀ ⠀⠀⠀⣇⠸⠁⠈⠀⣄⠈⠀⢧⠘⠀⡞⣘⣀⢧⣿⣿⠀⠀⡇⡄⣷⢿⠀⣷⣜⠱⠈⠀⡀⢤⠳⠙⠈⡆⢀⣁⢉⠛⡴⣁⠉⡏⢸⠀⠀⠀⣿⠁⣸⠃⡿⡴⠀⡿⢠⠇⢰⡿⢀⠀⠀ ⠀⠀⠀⠀⣷⠘⣆⠙⠀⠀⠀⡄⢻⠀⢸⢹⠀⡜⡇⣿⠀⠀⡇⠀⡟⣿⠀⠀⣇⠛⣟⠻⠛⠛⠚⡒⣶⣤⣤⣤⣤⣠⣀⣈⠃⡿⢿⠀⠀⠀⣿⡏⢠⡞⢠⠀⡾⢈⠁⡸⠀⣼⠀⠀⠀ ⠀⠀⠀⠀⡀⢷⠀⣆⠘⠀⠀⠀⡇⠸⢿⣷⠀⢸⡇⣿⠀⠀⡇⡿⣿⣾⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠄⠹⠀⠀⠀⣇⢈⡇⢠⣿⠀⠀⠀⣿⣾⡏⢠⠀⡟⢏⢻⡿⢙⠋⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⢸⠀⣧⠈⠀⠀⡄⢹⣿⡇⠸⢸⡇⣿⠀⠀⡇⢸⣝⢸⠀⠀⠀⠀⠋⠿⣿⣿⣿⣿⣿⠸⣧⠙⠀⠀⡇⢸⡿⠂⡇⠸⠀⠀⣿⣿⢰⠀⠏⢡⣸⠀⣄⢦⡻⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⠈⠀⢿⠀⠀⢳⣀⡇⡄⢸⢰⡟⣿⠀⠀⡇⢸⣿⢸⠀⠀⠋⣿⢿⡿⣯⣿⣿⣿⣿⢻⡀⣿⠹⠀⡇⢿⣼⠿⡇⢸⠀⠀⣿⣸⠀⠇⣰⡿⠀⠋⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⢿⠀⡄⠸⠀⡄⢹⡀⠀⢸⠀⣿⣿⠀⠀⡇⢟⣿⢸⠁⡾⣿⣿⣿⣿⣴⣠⢀⠀⣀⣦⠲⣿⣿⠹⡇⣿⢻⣾⡏⢸⠀⠀⣿⠀⠁⡼⠃⢰⠀⣸⠀⡇⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠈⠀⣿⠘⠀⣇⠈⠀⣿⠀⣿⣿⠀⠀⡇⣿⣿⢿⣿⡿⣾⣴⣀⠀⠀⠀⠀⠀⠀⠀⠛⠉⣆⣷⡿⣿⣿⢻⣾⢸⠀⠀⣇⠀⡄⠀⡾⠀⠃⢸⠀⡇⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⢻⠀⡇⢸⠀⠀⢿⠀⣿⠀⣿⣿⠀⠀⡇⣿⣿⣟⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⢟⣠⢀⠀⣀⣦⣿⣿⢻⢨⠀⠀⡇⠀⠀⡇⢠⠀⡟⠀⠀⡇⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⣷⠈⠀⡄⠘⣇⠘⣿⢸⠀⠀⡇⣿⣰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣿⣴⢀⠀⠀⠀⠀⠀⠀⣦⣿⢻⠀⠀⡇⠀⠁⢸⠀⠀⣼⠀⠀⣿⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⠀⡇⢸⠀⠀⢿⡇⢿⣿⢸⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⠀⠀⡇⠀⡆⢀⠀⡇⢀⠀⡇⣸⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⡄⢹⠀⠀⡇⣿⣿⣿⢸⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⡇⠀⠀⠀⠀⣾⠀⠀⡇⢠⣧⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣷⠀⠁⣿⣿⣿⣿⢸⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢾⠳⠈⠃⢰⠀⠀⡏⠀⡄⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡇⠁⣿⣾⣤⣀⡇⢀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢻⠈⢧⡟⠀⠀⠁⢸⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⡇⣿⣼⢁⠋⠼⣧⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣭⣶⠿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⡂⢿⠙⣆⠸⠀⡇⢸⠀⠀⣇⠸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠄⣫⡿⣿⣼⠀⣼⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠆⠽⡒⣟⠪⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⡄⣿⢦⣿⠈⡿⢀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⡞⣠⣿⣟⣷⠹⢸⠀⠀⠉⡟⡽⠋⠙⠉⠯⠉⠈⠀⡀⢶⠻⣟⢺⠀⠀⠀⠀⠀⠀⠀⠉⠛⠽⣯⢸⠀⠀⠀⠀⡏⣛⣯⡷⢿⣿⠀⠀⠀⠀⡄⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢸⠞⣧⢺⠘⡃⢸⠂⠖⣴⣼⣀⣁⣿⣟⣯⣿⣿⢸⠀⠀⡀⣀⠀⠀⠀⠄⣤⣤⣤⣥⣿⣶⣿⣿⢸⠀⠀⠀⢰⣷⣧⣿⡇⣷⣿⠀⠀⠀⠀⠀⣆⢹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⢿⢈⡍⣯⣿⣿⢸⠉⠋⠙⢹⠉⡏⣿⣿⣿⣾⣶⢀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠻⠙⡏⣿⢻⡿⣿⣿⠸⠀⠀⠀⡄⣿⣿⣿⡏⣸⠉⠉⠉⠉⠉⠁⣏ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣿⢺⣿⣧⣿⣠⣯⣰⣂⣝⢧⣼⣤⣳⣚⢴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⣝⣮⣷⣿⣿⣿⢿⠿⠏⠸⠃⣙⣯⣏⡿⣾⣤⣀⣀⣀⣀⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣧⡏⣿⣿⣽⣷⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⠀⡀⣧⢉⡟⣼⣿⣟⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣀⣯⣄⣽⡷⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⡇⣏⣰⡎⢇⢇⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠸⣧⠈⣄⣸⠀⣄⢦⠓⢹⠈⠀⠀⠈⠈⠀⠁⠈⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉⡟⢐⠀⠀⡏⣠⠇⢳⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢿⡇⢿⠈⢸⠀⠀⠀⠀⣘⣀⣬⡿⣿⣧⠿⣻⣁⢄⠳⠉⢵⣦⣷⠦⠿⠶⠶⠾⠿⡤⣀⣀⢸⠀⠀⠀⣿⠃⣸⡌⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⣸⢹⢸⠀⠀⠀⠀⢹⡿⣯⣸⢀⡀⣷⢸⠀⠀⠀⣄⢳⢻⠀⠀⡀⢳⠈⢣⡀⢧⠈⠇⢸⠀⠀⠀⣿⣴⠇⢠⡟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢻⣧⣎⢸⠀⠀⠀⠀⣾⡇⣾⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣦⠸⠀⠀⠀⣆⡿⠀⠀⢿⡟⢀⠀⠀⠀⣸⠇⢠⠇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡌⢸⢧⠀⠀⠀⠀⢠⠀⢰⠀⠛⠀⡀⠀⠀⠀⠀⠀⠇⠘⣆⠘⠀⠀⠀⡄⠀⠀⡆⣼⠀⠀⠀⡇⠏⢠⠃⣿⣡⠋⠚⠛⠛⠶⠔⠤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢢⡇⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⡿⢀⠃⣻⣿⡶⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢹⣧⠈⠀⠀⠀⠃⠈⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⡆⠸⠀⠀⠀⠇⠀⠀⠀⡟⠀⠀⠀⠇⣸⠋⣻⡵⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⢸⠀⠀⠀⡆⢸⠀⠀⠀⢷⠀⠀⠀⠂⠈⠀⠀⠀⢸⠀⠀⠀⡇⠀⠀⠀⣼⠀⠀⠀⡇⠟⣛⣰⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢻⠀⠀⠀⠀⢣⠀⠀⠀⡀⢹⠀⠀⠀⢷⠀⠀⠀⢇⠀⠀⠀⡇⠸⠀⡏⢀⠀⠀⠁⣿⡾⢠⠀⠀⡇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⡄⢸⠀⠀⠀⡄⠹⠀⠀⠀⢳⠈⠀⡆⠀⠁⠀⡿⢀⠃⣼⠀⠀⠉⡞⣠⠀⠀⠀⠀⠀⣿⢹⠀⠀⠀⠀⠀⠀⠀⠐⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠋⠛⡿⣌⠦⠛⣏⠘⠀⠀⠀⡄⠳⠈⠀⡀⢧⠈⠀⠀⡟⡇⢸⠀⡟⠉⠛⡴⣡⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠉⠉⠛⣶⣴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠝⣿⣲⣤⣤⣠⢀⠀⡆⠀⡀⣄⢤⠲⠛⠙⠉⣈⠀⠀⠁⣌⠶⠛⢹⣿⢚⡴⣤⣀⠀⠀⡄⠾⠘⠀⠀⠀⠀⠀⡁⣿⠛⠚⠴⣭⣻⣚⠔⠤⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠾⣶⣴⡤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⣀⣧⠈⠀⡀⣦⠹⠀⠀⠀⠀⠀⠀⢠⢉⠉⠋⠖⠶⡭⣉⣚⠶⠤⣠⣀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⠀⠀⠀⡇⢸⠀⠉⠛⠚⠵⣥⣫⢚⠖⡤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣴⠀⠀⠀⡟⣽⣉⢒⠶⣤⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠁⠏⠶⠶⣻⢉⠉⠉⠛⡾⣠⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠻⠐⠁⠉⠛⠖⡴⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠒⠴⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠗⣿⣹⢋⠐⠒⡤⣠⢀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠇⢳⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⡘⡿⢧⠀⢸⠀⠇⣿⣯⣿⣴⣀⣀⣿⣿⣻⢄⠤⡆⣿⣿⢻⠒⠀⠃⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣦⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⡌⡿⠀⢸⠀⡏⢻⡀⣀⣀⣀⢄⠤⣤⣤⢶⡷⣿⣿⣿⣿⠀⠀⡂⣼⣤⢨⠀⢀ ⠀⠀⠀⠀⠀⠷⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣇⠀⢸⠀⣸⣧⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣦⠰⠀⠀⢠⠀⢏⠉⠉ ⠀⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⡌⠀⢰⠀⢸⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⢿⠿⡟⣹⣿⢿⣠ ⠀⠀⠀⠀⠀⠀⢧⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠋⠛⠛⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠁⣦⢸⠀⠀⠈⢀⠀⡄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠃⣿⣿⣾⣿⣿⣴⢀⠀ ⠀⠀⠀⠀⠀⠀⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣴⠀⠁⠀⣄⠹⠀⠀⠀⣀⣀⣀⣤⠤⠢⠒⡙⠀⢧⠀⠀⢻⠀⠀⠀⣄⠘⠀⠀⠀⠀⠀⠀⠄⢀⠀⠁⡾⣰⡤⣠⢀⠀⠀⠀⠀ ⠛⠛⠉⠉⠈⠀⠀⡄⠱⠀⠀⠀⠀⠀⠀⠀⠀⠎⢠⠀⠀⡀⢷⠀⡒⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⡇⠀⠀⠀⠀⣧⠈⠀⠀⠀⠀⠀⠀⠀⠋⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣹⢸⠀⠀⠀⡀⠱⠀⠀⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀⡀⢻⠀⢤⠀⠀⠀⠤⠲⠉⠀⠀⠀⡇⠀⡄⠀⠘⡇⠈⠀⠀⠁⠓⢧⠈⠀⠀⠀⠀⠋⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⣿⣿⠘⢣⠈⠁⠀⠀⡀⢧⠈⠀⠀⠁⡿⢸⠀⠀⠀⠀⠀⠁⣸⠀⠀⠀⠀⠀⠀⠀⡀⢷⠙⠀⡇⠉⠄⠀⢳⠀⢸⠀⠃⣿⢸⠀⢧⠈⠉⠗⡤⣹⣀⣓⢮⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⣿⣿⣿⡿⢿⠙⢄⠐⠀⠀⣄⠻⠁⡾⣇⠀⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠻⠀⢹⠀⠀⣸⠀⢳⠀⢾⣾⠀⠁⠟⣷⢸⡸⠀⡇⠈⠀⣄⣟⠈⠀⠀⠀⠀⠀⠀⠀ ⣶⣠⣀⣀⣀⣷⣮⠳⠉⠀⠀⠀⡀⣦⢙⡄⢤⠤⠦⠶⠿⣾⢀⠀⠀⠉⠉⠛⠉⠈⠀⠀⠀⠀⣆⢿⣿⠇⠀⠇⠀⡇⡴⣀⢋⡴⣀⣸⡏⠀⣿⠀⡇⢸⠀⠀⡀⢱⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣆⠘⡀⢳⠀⠀⠀⠀⡀⢦⠷⣛⠿⡶⣶⢶⠶⣷⣿⣿⣿⣿⣿⣿⣿⢿⠛⠉⠈⣆⣿⡍⢹⡇⠆⡄⠿⣽⣿⠀⠁⢸⣿⠀⡇⠸⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⢸⠀⡆⢾⠙⠀⠀⠀⠁⡾⢴⡀⣀⣀⣀⣀⢀⠤⠠⠀⣉⣈⣤⣶⣶⣿⣿⠿⢙⣿⢱⣷⡀⠈⢸⣧⣿⢸⠀⡇⢰⢠⠀⡇⢸⠀⢇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠱⠀⠀⠀⠀⠀⡇⢰⠀⠀⢣⡁⣏⠺⠋⣰⠀⠃⡿⢴⠢⠙⠈⠀⠀⠀⠀⠀⣀⢤⠲⠙⠈⡀⣍⣦⣿⣿⡹⢠⢻⠀⡄⣿⠘⠀⡇⠈⠀⠀⠀⣷⠀⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⡄⠰⠀⠀⠀⠃⣸⠀⠁⠘⡆⣟⣹⢾⢠⠀⠁⣻⣿⣯⣀⣀⣐⣬⠻⠈⠀⠀⠀⠀⠀⠀⣀⢠⡀⢧⠙⣧⣿⠘⣇⠀⠀⣾⣶⢶⡿⣻⠉⠀⠈⡆⢸⡀⠈⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⡿⢸⠀⡇⠀⠁⣿⣾⢀⠀⠀⡄⣿⣟⢋⠖⠭⠯⡶⡤⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡿⣿⢿⠀⢠⠀⢧⠀⠒⡉⣍⣦⢿⢈⠀⢹⠀⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⡷⢸⠀⣶⠈⡗⣻⣰⠀⠀⠀⡇⣿⣶⢴⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣮⣿⠘⠀⠀⡆⣞⣾⣿⣾⢿⡜⢷⠘⡇⠀⢱⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⢿⠘⡇⢙⡞⣠⠀⠀⠀⠀⠀⣀⠁⠙⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⣆⢿⠀⠀⠀⢿⢰⠀⣁⢻⣆⡈⢻⡆⢸⡇⠘⡇⢠⠀⠀⠀⠀⠀⠀⠀ ⠸⠀⠀⡇⠀⡇⣩⢸⡇⣾⢠⠠⠀⠀⠀⠀⠀⠀⡆⣹⠀⠀⠀⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⠸⣇⠸⠀⠀⣇⡿⣿⣩⡀⠀⢹⡇⠸⢇⠀⢳⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⡇⠀⡇⣿⠀⡏⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧⠉⠞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⣋⠿⣿⡿⢿⠒⠐⠀⣿⠻⠉⣏⡿⣟⡟⢸⡇⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⠀⠀⡇⠀⡿⡀⠀⣿⡟⢸⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠂⠿⠿⠿⠿⣿⣿⣶⣶⣽⣭⣿⠾⡎⠈⠀⠀⣇⠿⡐⣀⣦⣿⣷⢸⡀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⢱⠀⡄⠀⣏⠀⡇⣼⣿⣾⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⡀⣀⢀⠀⠀⢿⢣⢻⠀⠀⡄⣿⣿⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡸⢳⠟⠿⣠⠀⡇⢀⣄⡷⣿⡿⢬⠀⠀⠀⠁⠋⠼⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⠉⠀⠁⣇⣿⣿⣠⢸⡇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡄⡿⣼⢀⠏⠐⡘⠀⠀⡄⣿⢿⠹⠉⠛⠽⣿⣿⡿⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠦⠴⠤⠀⠀⠀⠀⠁⠛⡷⢸⣦⣿⠘⡇⠈⣿⣿⠀⢸⡇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⢿⠏⢠⠀⢻⠀⠀⠀⣧⣽⣼⣀⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣴⢀⡀⣼⠀⣇⢻⡄⢻⡇⣽⠀⢿⡇⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡏⣿⣥⠛⢰⡇⠸⠀⠀⡁⣼⢀⠋⣿⣾⣴⣠⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠁⠋⠛⠟⡿⣾⣤⢀⠀⠀⠀⢿⠀⠀⣷⠸⣿⡘⣹⠀⣿⠀⣿⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣴⣧⠀⠀⠀⢳⠀⠃⣿⣿⣿⣶⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠙⠉⣇⣾⣴⣠⢀⠀⠀⠀⠀⠀⠆⣿⠻⠟⡿⣿⡟⢿⣿⠙⣸⠀⣿⠈⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⠀⠀⡄⠸⡃⣶⣧⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠾⠿⠶⠛⣍⡹⣉⢮⠓⠈⠀⠀⠀⠀⠀⠀⠁⣿⣿⣤⣦⣾⣷⣿⣟⣿⢸⠸⣿⢸⣷⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢳⠀⠀⢇⠈⠀⠀⡄⢹⠀⠀⠀⠀⠀⠁⠟⣽⣾⢠⣄⢳⠈⡀⣤⢶⣛⣍⣶⢿⠛⠉⠀⠀⠇⣿⣿⣿⣿⣶⣶⠿⣙⣏⣿⣿⢸⣿⢸⡇⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢱⠠⡀⢷⠀⠀⠀⡄⢿⠙⠋⠿⡿⣶⣦⡲⣖⣷⠺⠙⣎⠘⠀⠀⡀⣀⢦⡻⣮⣶⢻⠀⡆⣿⣿⣿⣿⠀⠀⠀⡀⣄⣿⠐⢀⣿⢸⡏⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⠳⠀⡀⢹⠀⠀⠤⣦⣿⣄⢤⡀⣀⠀⠀⠀⠀⠀⠀⣄⣶⠙⠈⠀⠀⠀⡀⣦⠹⡧⢿⡞⣿⣿⣿⣿⠉⠉⠚⠶⣿⣬⠀⡃⣿⢧⢠⣾⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⡄⠹⠀⠀⠀⡀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠂⠒⠒⣖⣿⠲⠙⠈⠀⠂⡈⢰⣤⢷⡷⣾⣀⣀⣀⠀⠀⠀⣿⢰⠀⡇⣏⡞⡟⣿⢠⠀⠸⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠐⠶⣿⣿⡿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣇⡀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⡿⠟⠋⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣆⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣅⣁⢈⣭⣿⣷⣾⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⣖⣦⣤⣲⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣯⡿⠟⠋⠉⠻⡟⢟⡽⣗⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⢞⢝⣍⢿⣹⡿⠳⣛⣋⣓⣩⣲⡤⡀⠀⠀⠀⠀⠀⣰⡿⣣⠟⠁⠀⠀⠀⠀⠀⠘⢑⡻⣟⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⣿⣽⡿⣿⣟⡁⠀⠀⠀⠉⠉⢻⣟⠋⠝⢓⢤⣠⡴⣶⡿⣟⣭⣓⠖⠢⣤⣀⣀⣀⣬⡶⣻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣹⣫⢿⡇⣃⠴⡀⣀⡠⠤⠶⠒⣺⠿⣟⢸⣯⣃⣳⡾⡲⠷⣮⣥⣼⣮⣤⣥⣾⣿⣿⣻⡿⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢘⠣⣿⣿⣶⣾⣿⣷⣶⡂⢩⡭⢊⣽⣿⡿⠿⠿⢿⣦⣴⣙⠈⠙⠏⠉⠋⠉⠀⠩⠀⠂⠀⢀⣤⢤⣤⣤⣂⣅⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠉⠉⠙⠟⡟⢛⠋⡵⣻⣿⠏⠀⠀⠀⠘⢿⢯⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⠖⣫⠵⢏⣽⣿⣿⡧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⣩⢅⡏⠀⠀⠀⠀⠀⠈⠫⣳⠄⢹⡆⠀⠀⠀⠀⣢⣴⣿⣿⣿⠟⠁⠈⢿⢿⡿⠄⠀ ⠀⠀⣰⣾⣏⣩⣉⠰⣄⠀⠀⠀⠀⣠⢖⣴⢟⠎⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣾⣿⡀⠀⢠⣾⣿⣿⡿⠟⠁⠀⠀⠀⣸⣾⠣⠂⢀ ⠀⣰⡇⠈⠙⠤⣽⣿⣹⣷⣤⣈⣴⣩⡤⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠛⠛⡫⠁⠀⠀⠀⣀⣴⣾⡿⠃⠁⠀⠘ ⢰⣿⣹⡄⠀⠀⠀⠉⠛⠻⠿⠛⠋⠉⠂⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⡀⣤⡶⠁⢼⣿⠃⠀⠀⠀⠀ ⢹⡇⠂⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡁⡆⠡⣬⣧⣀⡜⠁⠀⠀⠀⠀⠀ ⠀⠱⡄⢂⠣⠀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢶⠃⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠢⢀⣙⠿⣿⡿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡾⡄⠀⠀⠀⣀⣀⠀⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠈⠑⠊⠁⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢿⣿⣿⡶⡤⣕⡤⠀⠂⠀ ⠀⢀⠀⣤⠔⠆⢶⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠄⠀⠀ ⠁⣠⡎⠀⣀⣠⡾⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠄⠀⠀⠀ ⠀⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀ ⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⋆౨ৎ˚⟡˖ ࣪⋆୨୧⋆⋆ ˚。⋆୨♡୧⋆ ˚。⋆
⡤⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⢤ ⢣⡀⠀⠉⠲⢤⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠉⠀⢀⡜ ⢸⡉⠒⠄⠀⠀⠀⢉⡙⢢⠀⠀⡔⢋⡉⠀⠀⠀⠠⠒⢉⡇ ⠀⠉⢖⠒⠀⠀⠀⣇⠀⣸⠀⠀⣇⠀⣸⠀⠀⠀⠒⡲⠉⠀ ⠀⠀⠀⠉⠙⠫⠤⠚⠉⠀⠀⠀⠀⠉⠓⠤⠝⠋⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡢⠊⠄⠕⡡⠣⢑⠨⢘⠌⠔⢈⠢⡑⠌⢜⢐⠁⢌⠢⡡⢂⢂⠐⡐⠂⠀⠀⢠⠐⣐⢔⠜⡐⢅⠢⡑⢔⠡⠢⡑⢔⠡⠢⡑⡐⢅⠪⡐⢌⠢⡊⢔⠩⡃⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠈⡳⣕⢽⢸⢪⡣⣳⢹⢜⢎⢧⢫⢎⢗⡝⣎⢗⡝⣎⢗⡝⡮⡣⡣⡑⡅⡣⡱⡡⢣⢃⢇⢇ ⡠⠡⠡⢁⠢⢑⠁⠄⠄⡑⠡⠀⢕⠨⠠⡑⠔⠀⠄⢱⠨⡢⠡⠐⡸⠀⠀⠀⠨⢰⠱⡐⢕⢘⠔⡑⡌⢆⢕⢑⢌⢢⢑⣅⢕⠸⡐⡑⡌⢆⢃⠪⡐⠕⠄⠀⠀⠀⠀⠀⠀⠀⠀⠐⡄⠀⠀⢩⢮⡪⣇⢗⢝⡜⣎⢧⢫⢎⡗⣝⣜⢮⢺⢜⢮⡪⡧⡫⡮⣓⢌⠆⡕⢜⢰⠸⡘⡌⡎⡎ ⠢⢑⠅⡂⡊⠔⡁⠌⡂⠄⡁⠨⢐⠅⢂⢘⢈⠠⠈⡐⡱⡘⡌⢂⡄⠀⠀⠀⡎⡐⢕⠸⡐⡑⢘⠐⡁⠓⢒⠡⢈⠩⢀⢸⢰⠡⡑⢅⠎⡢⡑⢅⢣⠩⡚⠀⠀⠀⠄⠀⢀⠠⠀⠡⡇⠀⠀⠀⣗⢽⡸⡵⡝⡮⡺⣪⢳⢳⡹⡼⡜⡮⡳⣝⡕⣗⢝⣝⢮⢎⢆⢣⠪⡊⢆⢣⢣⠱⡱⡱ ⢌⢂⢂⢂⠢⡑⠠⢘⢌⢢⠀⠌⡰⢡⠐⢐⠠⢐⢀⠢⡑⡜⣐⢁⠃⠀⠀⠀⡇⣪⠪⡘⡌⢆⢂⢐⠠⢁⠂⡐⡀⡂⠂⢜⠢⡣⡑⡅⡕⢌⢪⢘⠔⣅⢷⢧⢀⠀⢀⠀⠀⠀⠀⠌⡇⠀⠀⠀⢫⡣⣗⡳⡝⣎⢯⣪⡳⡝⡮⡮⡳⣝⣕⢧⡫⡮⡳⣕⢗⡇⡇⡕⢅⢇⢣⢣⠪⡪⡪⡪ ⢆⢆⢆⢆⢣⢱⠡⡪⡸⡰⡡⡱⡘⡔⢕⢅⢎⠜⡔⢅⡣⡱⢢⠢⠀⠀⠀⠀⢇⢂⠧⡱⡘⡌⡆⠄⢂⠂⢂⢐⠀⡂⡡⡣⡑⢆⢕⣬⣘⣬⡲⣳⢝⣗⣿⣫⣷⡐⠄⡀⠀⠄⡨⠨⠁⠀⠀⠀⢸⢺⢜⢮⡳⣕⢗⣕⢗⣝⢞⣎⢯⣪⡺⣪⢞⡭⡯⢮⡳⣕⢕⢜⢌⢎⢜⢔⢕⢕⢕⢭ ⢮⢪⢪⠪⡪⡢⡣⡣⡪⡢⡣⡱⡑⡕⡕⡜⢔⢕⢕⢱⢸⢘⢜⢜⡆⠀⠀⠀⢰⠠⡑⠨⠆⡕⢜⢱⠰⣌⣀⣂⡴⡮⣕⡵⡮⡯⣳⢕⡧⣳⢝⡮⣳⡳⠈⠺⡾⡽⣶⡨⠨⢂⠁⠕⠀⠀⠀⠀⡼⣕⢏⡧⡳⣕⢯⡪⡧⣳⢣⡳⣣⢗⣝⢮⡳⣕⢯⡳⣝⢼⢸⠰⡱⡑⡅⡇⡇⡇⡇⡧ ⠣⡣⠣⡋⢎⠪⠪⡊⢎⠪⡊⢎⠪⡊⢎⠪⡊⢎⢊⠎⡪⢊⠎⡪⢂⠀⠀⠀⠈⡆⠚⣨⢼⡫⣯⡺⣝⣞⢮⡳⣝⣞⡵⣝⢮⢯⣺⢵⢯⣳⡫⠞⠃⠀⠀⠀⠈⠻⣳⣻⢮⡈⠀⠀⠀⠀⠠⢠⡻⣪⡳⣝⢝⣎⢧⢯⢺⣪⡳⣝⢮⡳⣕⢗⣝⢮⡳⣝⢮⡣⡣⡣⡣⡣⡣⡣⡣⡣⡣⡳ ⡕⡸⢨⠨⡂⢕⢑⠌⡢⢑⠌⡢⢑⠌⡢⢑⠌⡂⠆⢕⠨⢂⠕⢌⠪⠄⠀⠀⠀⠐⣣⢮⡳⡽⣺⣪⢗⣵⢯⣺⢵⣳⡫⡾⡽⣝⠮⠗⠃⠁⠀⠀⢀⠠⠔⠂⠀⠀⠘⢯⢿⢽⣦⠀⠀⠂⢀⣞⢮⡳⣝⢼⢕⣗⢝⡮⡳⡵⣝⢮⡳⣝⢮⡳⡳⡳⣝⢮⡳⣝⢜⢜⢜⢜⢜⢜⢜⢜⢜⢎ ⡪⠨⢂⠑⠌⡂⡑⠌⠂⠕⡈⠢⠑⡈⡂⡑⠨⢈⠊⡂⠅⠕⡈⡂⠣⠩⠄⠀⠀⢸⡳⣳⢽⢽⢝⣞⢽⡺⣝⢮⠗⠷⠙⠋⠈⠀⠀⠀⠀⠀⠀⠊⠀⠀⢀⣀⣀⣄⣤⣬⣿⣟⣾⣣⠀⣠⣟⢾⡕⢏⠎⢗⠳⠱⠫⡪⠫⡚⠎⢇⠏⢎⠗⠝⡍⢏⠎⠗⢝⠜⢜⠸⠨⠒⢕⠱⢑⠕⠕⢇ ⢐⠐⡀⠂⡁⠄⢀⠂⠡⠐⢀⠂⡁⠄⠠⠐⢈⠠⠐⢀⠐⠠⢀⠐⢈⠐⡈⠢⠀⠀⢹⣞⡷⣟⣷⠋⡅⠙⠂⠀⠉⠉⠀⠀⠀⠀⠀⡀⠀⠄⡦⠖⠚⠋⠉⠉⠀⠀⠀⠀⡏⢻⣺⣳⣟⣗⡯⡯⡾⡀⠌⠠⠀⠅⠂⠠⠁⠄⠡⠠⠈⠠⢀⠡⠀⢂⢈⠈⠄⡈⠄⠠⠁⠌⠠⠐⠠⠈⢌⢐ ⠢⡂⡂⡅⢄⢢⢐⠄⢅⠢⡐⢄⢄⢂⡂⢅⠄⢔⠐⢄⢌⢐⠄⡐⢄⢂⠄⡅⢅⢢⣳⢗⡿⣽⠎⠀⠀⣀⡤⠴⠒⠛⠉⢱⠀⠂⠁⠀⠀⠀⡇⠀⢻⣷⡄⠀⠀⠀⠀⡼⠃⠈⣟⣾⣺⢾⢽⢽⣝⡇⡌⠔⡈⢄⢌⢐⠨⡀⡂⡂⢅⠌⢄⢐⠌⢄⢄⢂⠅⢄⢂⠅⡌⢄⢅⢌⢄⢅⢢⠢ ⢹⢘⢜⠸⡘⡌⢆⢣⢑⢑⢌⠢⡑⡅⢎⠢⡑⢅⢊⢆⠪⡐⡅⡣⡑⢔⠡⡊⡌⢶⡽⡽⣽⣷⣤⠴⠋⠁⠀⠀⠀⢲⣷⣦⠇⠀⠀⠀⠀⠀⢃⡖⣽⣯⢳⠀⢀⡤⠚⠁⠀⠀⢻⣞⣾⣫⢿⢽⢮⣻⢌⢪⢘⠔⢅⢪⢘⢌⠪⡌⡢⡑⡅⡅⢇⢕⢌⢆⢇⢣⢑⢕⠜⡜⡸⡘⡌⡪⡸⡸ ⢣⠣⡪⡊⡪⠨⡊⢆⢕⢑⢌⠎⡪⠨⡂⡣⢑⠅⡕⢌⢪⠨⢂⠕⡘⢌⢪⢘⢌⢺⡽⣝⣷⣻⠱⣄⠀⠀⠀⠀⢀⢜⣿⡍⣋⠀⢀⠀⠁⠀⠈⠃⠋⠉⠀⠈⠁⠀⠀⢀⠠⠀⢸⣗⣟⣾⣫⢿⣝⢾⢐⠕⢅⠣⡑⡅⢕⢜⠸⡨⢪⢊⢆⠣⡣⢱⢘⢔⢅⢇⢣⢱⢑⢕⢱⠱⡸⡰⡱⡱ ⡱⡑⡌⡢⢨⠨⡨⠢⡊⡢⢑⠌⡢⢑⠐⢌⠢⡑⢌⠢⠡⡊⡐⡐⢌⠢⡑⡐⢅⢍⣯⣗⣗⣯⡇⠈⠓⠦⠤⣄⣼⠬⠿⠛⠁⢀⣠⢤⠔⡶⡂⠀⢀⠀⢀⠠⠀⢀⠈⠀⠀⠀⢸⣟⣞⣗⣯⣟⢾⢽⡐⢅⠕⡡⠱⡨⡂⠎⢜⠌⡆⢕⢌⢪⢘⠌⡆⢕⢌⢆⢣⢑⢅⢣⠱⡑⡕⢜⢜⢜ ⢔⠡⠢⡡⡑⢌⠢⢑⠐⠌⡄⢕⠨⡐⡡⢑⢐⠨⡐⠨⢂⠢⢊⢐⠡⢂⢂⠪⡐⣼⣳⡳⣯⢾⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⡲⣕⢯⣺⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⢸⡷⣯⢷⣗⣯⢯⣟⡎⡐⢅⠪⡈⡢⢊⠜⡐⢅⢊⠢⠢⡑⢔⢑⠌⢆⠕⡐⢅⢊⢢⢑⠕⢌⢊⠢⡑⡌ ⠣⡑⢕⢐⠌⡢⠡⡡⢑⠅⡊⢄⠕⡐⡈⡂⡢⠡⠨⢊⠔⠡⢁⠢⠡⡑⡐⢅⢢⡷⣳⢯⡯⡿⣽⣣⠀⠀⠀⡀⠄⠀⠂⠀⠄⠀⠈⠑⠋⠁⠀⠀⠁⡠⠁⠁⠀⠂⠀⠂⠀⣴⡾⣯⢿⡽⣾⣺⣻⣺⡽⣌⠢⡑⢔⠨⡂⠕⠨⠢⡡⡑⡑⢌⠢⡑⢌⠢⡑⢌⠢⡑⢔⠡⡑⢅⠕⢅⢣⢱ ⠪⡈⢂⠂⠅⢂⠁⡂⠡⠈⠄⡁⢂⠐⡀⢂⠠⠁⡑⠐⠈⠄⡁⠌⠂⠂⠌⠄⣹⡽⡽⡯⣯⣟⣷⣻⢆⠀⠀⠀⠀⠀⢀⠀⢠⠠⠤⠀⠂⠉⠉⠉⠀⠄⠀⠄⠀⠄⠀⣰⣾⢿⣻⣽⢯⣯⢷⣻⣺⣳⢯⣟⢮⠐⠡⠈⠄⠡⢁⠑⡐⠈⠌⡐⠡⢈⠂⠅⢊⠠⠑⡈⠄⠅⠌⢂⠡⠑⡈⡢ ⢎⡆⣇⢎⢎⢆⢎⢔⠥⡱⡡⡢⡱⡰⡰⡰⡰⡑⡔⡅⡇⡅⡆⡎⡌⡎⡌⡖⢼⣫⡯⣟⣗⡷⣗⣯⢿⣿⣦⣔⡀⠈⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠁⡀⠀⠀⢄⣴⣿⢿⣽⢿⣽⡯⣟⡾⣯⣟⡾⣽⢽⣺⡽⣽⢜⣜⢼⢜⢦⡳⣜⢼⣜⣔⢕⢦⣣⢧⡳⣜⢮⣢⢧⡱⣱⡢⡧⣗⡵⣧ ⢱⢱⢕⢕⢇⢇⢇⢣⢣⢱⢱⢱⢱⢑⢜⢌⢎⢪⢸⢨⢪⠪⡪⡘⢌⢆⢇⢍⣯⢷⣻⡽⣞⣯⢿⣞⣿⣺⣯⣿⣻⣿⢶⣦⠤⣀⣀⡈⠁⠁⠉⠉⢀⣠⠴⣿⣟⣯⣿⣻⣟⣿⣯⢿⡽⣯⢷⡯⡿⡽⣯⢷⣻⣵⣻⢞⡽⡙⡌⡖⡌⡎⢮⣺⢝⣗⣗⢽⢺⢹⢝⡮⡷⣝⡮⡯⡫⢎⢏⢾ ⡱⡕⡕⡕⡕⡕⡕⢕⢱⢑⢅⢇⠕⢅⢇⠕⢕⠱⡑⡅⢇⢣⢱⠸⡨⠪⣪⢾⣝⣯⣷⣻⣽⢽⣻⣞⣗⡿⣾⢯⡿⡺⣫⢻⣈⠢⠩⢛⢛⢛⢛⢛⠫⡡⡡⣫⢫⢝⢯⡿⣽⢷⣟⣿⣽⡽⣯⢿⣽⣻⣽⡻⣞⣾⣺⢽⣳⡳⡵⣳⢵⢽⢕⡯⡯⣺⢮⡺⡮⣺⢼⣺⢝⣗⡽⡵⣕⣗⡽⡽ ⢱⢱⢑⢅⠣⡱⡸⡘⡌⢎⠜⡐⡅⡑⠄⠅⠡⢈⢐⠨⠈⡂⠅⠂⠌⣂⡾⣳⣻⣺⣞⡷⣯⣟⣷⣻⣞⣯⢫⡫⡻⡪⡎⡧⡣⣏⢮⣶⣟⣟⡿⣶⡱⡪⡫⡪⡎⣧⣷⣟⣯⡿⣞⣗⡗⢍⢛⢽⣞⡷⣷⣻⡽⣞⡾⡽⡮⡯⣫⢞⢽⡺⣝⣞⢽⢵⣫⢯⣫⢗⡯⣞⡽⣔⢽⢽⢵⡳⡯⣿ ⢸⢸⢨⢢⢑⠕⢌⢢⢑⠅⡊⡢⡂⠂⢐⠨⠨⢂⠢⠀⡁⠠⠠⠡⡑⣼⢽⣽⢾⣳⢏⡽⣗⣿⣺⣳⣟⠎⠔⢌⠝⣎⢗⢵⡹⣸⣚⢷⣯⢷⣿⣳⣵⣹⣪⣗⣯⣿⣺⢗⡯⣯⣳⡓⢕⠨⡂⢆⠫⣟⡷⣯⢿⡽⡽⡯⡯⣻⡪⣊⢆⢝⢞⢮⢯⡳⡕⢕⠜⡑⡝⣞⢮⣳⡫⣏⢗⠝⡝⣺ ⡪⡪⠢⡑⢌⠎⢜⠰⡐⡱⠨⡂⠢⢈⠀⡀⢁⠠⠐⠠⢀⠐⠈⢐⠈⣯⣻⢾⣻⣳⣞⣯⢿⣺⣗⢟⠢⡑⠍⡆⡣⡢⡙⢕⠗⢕⠢⠩⡺⢿⣞⣷⢯⣿⣺⣽⣺⢞⡾⡽⡽⡺⣊⢊⢢⢑⢌⢢⠱⡘⣿⡽⣯⣻⡽⡯⣏⢞⢮⡳⣕⢗⡽⡕⣗⣝⢮⣣⡳⡵⣝⢮⡳⡳⣝⢮⣲⣱⡱⣕ ⡘⢌⠊⠄⠅⡊⢄⢑⢐⠨⠐⡈⠌⠠⠂⠄⢂⠐⡈⡐⢐⠠⢁⢐⢈⡾⣽⢽⡍⡓⡛⡚⠟⠓⠓⠈⠈⠈⠈⠈⠉⠉⠀⠀⠀⡀⠀⠁⠀⠀⠁⠋⠳⠗⠯⠞⠾⠽⠙⠋⠁⠀⠀⠉⠐⠨⢢⠢⡑⡌⢵⡿⣽⢾⡽⣯⢇⢑⠑⠍⠪⠑⠅⡑⢑⠘⠕⡑⠕⡙⠜⢑⢁⢃⠣⠓⢕⠱⡙⡚ ⡱⡡⡑⢕⢕⢮⡒⡖⠔⠌⢔⠠⠡⡑⢕⠥⡱⢐⢐⠄⡅⡢⣡⠢⠣⠟⠙⠋⠓⠚⠒⠒⠒⠒⠀⠀⠀⡀⠀⠄⠀⣀⠄⠀⠁⠀⡀⢔⠠⡁⢄⠄⠤⡀⠀⠀⠀⠀⢀⡀⠀⠠⠀⠂⠀⠒⠒⠚⠒⠚⠒⠛⠋⠛⠹⠽⠰⣱⢱⢡⢣⢑⢅⢎⠔⡕⡕⡜⢔⢐⠅⡢⢂⠆⡇⡧⡣⡎⡆⡕ ⣕⢕⢕⡑⢌⠢⡑⠌⠜⡌⡢⡡⡑⢌⢐⠅⡢⡑⠔⠓⠈⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡀⠀⠀⡀⠀⠁⠀⠀⠠⠀⠀⠈⠐⢤⡌⢌⠢⡑⠌⠔⡡⢑⠌⢆⠠⠕⠈⠀⠀⢀⠀⢀⠠⠀⠀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⠁⠃⠧⢣⢣⠣⡣⢑⠌⡂⢆⢕⢌⢆⠕⡨⢊⠕⡑⡌⣎ ⡘⠬⡑⠌⡂⠅⡂⠅⠅⠕⡑⡑⡡⢑⠄⠃⠁⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠁⠀⠀⠁⠀⠀⠄⠀⠀⠂⠀⠈⠀⠀⡀⠁⠀⠀⠡⡑⠌⠔⡡⡑⠌⠔⢌⠜⠀⠀⠀⡀⠂⠀⠀⠀⠀⠀⡀⠀⡀⠈⠀⠈⠀⡀⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠁⠃⢇⢅⠢⠊⠜⠌⡃⠣⡁⠢⡁⡂⠪⡘⠜ ⡑⡑⡨⠐⠌⠌⠔⡁⠅⠡⢐⢐⠘⠁⠀⠀⠀⠀⠀⢀⠠⠐⠈⠀⠀⠀⢀⠐⠀⠐⠀⠀⠂⠀⠀⠂⠀⠈⠀⠀⠁⠀⠀⠈⠀⠀⢪⠘⢌⠔⢌⠜⡨⡂⠀⠀⡀⠂⠀⠀⢀⠈⠀⠈⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠄⠀⢀⠀⠁⠀⠠⠀⠀⠀⠀⠀⠈⠨⢊⠄⡅⢌⢐⠄⠕⡔⢌⠢⡊⡜ ⡨⡢⡂⡅⠅⠌⢐⠠⠨⣈⠖⠁⠀⠀⠀⠀⢀⠠⠐⠀⠀⠀⠀⢀⠀⠂⠀⠀⠀⠄⠐⠀⠀⠂⠁⠀⠈⠀⠈⠀⠐⠀⠈⠀⠀⠁⠀⠃⡅⡪⢐⠡⠒⠀⠀⡀⠀⠀⠠⠐⠀⠀⠀⠂⠀⠂⠁⠀⠁⠀⡀⠐⠈⠀⠀⠠⠀⢀⠀⠁⠀⡀⠐⠀⠀⠄⠀⠀⠀⢕⢜⢰⢐⠅⠕⢌⠢⡑⡕⡜ ⡱⠱⡑⠌⢂⠡⢐⠠⠡⠂⠀⠀⠀⠀⢀⠐⠀⠀⠀⠀⠠⠐⠈⠀⠀⠀⠐⠈⠀⠀⠀⠄⠂⠀⠠⠐⠀⠁⠀⠐⠀⠀⠂⠈⠀⠐⠀⠀⠹⡵⣝⠃⠀⠀⠄⠀⢀⠈⠀⠀⠀⡀⠂⠀⠂⠀⠠⠀⠂⠀⢀⠀⠀⠄⠈⠀⠀⢀⠀⠀⠁⠀⢀⠀⠂⠀⢀⠠⠀⠀⠑⡅⢕⠨⠊⠔⡡⢊⠜⡜ ⢸⢨⢐⠌⡄⡢⢢⠱⠁⠀⠀⠀⠀⠐⠀⠀⠀⠠⠈⠀⢀⠀⠀⡀⠐⠈⠀⢀⠀⠂⠁⠀⠀⠠⠀⠀⡀⠀⠈⠀⠀⠂⠀⠐⠀⠀⠂⠈⠀⢹⠆⠀⠀⠁⠀⡀⠀⢀⠀⠂⠁⠀⠀⠠⠐⠀⢀⠠⠀⠈⠀⠀⠠⠀⠀⠂⠁⠀⠀⠈⠀⠠⠀⠀⡀⠂⠀⠀⠀⠀⠀⠘⡢⡑⢅⢑⡐⢅⢪⢸ ⣾⢮⣞⣮⣮⡾⣼⠃⠀⠀⠀⠀⠁⡀⠄⠐⠈⠀⠀⠠⠀⢀⠀⢀⠀⠀⠄⠀⠀⡀⠄⠀⠂⠀⡀⠂⠀⠀⠁⠀⠁⠀⠐⠀⠐⠀⠠⠀⢀⠈⠀⠄⠁⠀⠄⠀⠠⠀⠀⠄⠀⠠⠐⠀⠀⢀⠀⠀⢀⠀⠂⠁⠀⠠⠐⠀⠀⠂⠁⠀⠁⠀⠠⠀⢀⠀⠐⠀⠐⠀⠀⠀⠸⣞⣮⣾⡼⣞⣞⣮ ⣟⣿⣻⣽⡷⣿⡏⠀⠀⠀⠀⠁⢀⠀⠀⡀⠠⠀⠈⠀⠀⠀⡀⠀⠀⠄⠀⡀⠁⠀⠀⠀⠄⠀⡀⠀⠠⠈⠀⢀⠁⠀⠂⠀⠐⠀⠠⠀⠀⡀⠄⠀⠄⠀⠄⠐⠀⠀⠂⠀⠠⠀⠀⠄⠈⠀⠀⠐⠀⠀⠀⠄⠀⠄⠀⠐⠀⠀⠂⠀⠈⢀⠠⠀⢀⠀⠂⠐⠀⠀⠂⠀⠀⢻⣟⣾⣻⣟⣿⣽ ⣿⣯⣿⣽⢿⣽⠃⠀⠀⠀⠈⠀⡀⠠⠀⠀⢀⠀⠐⢀⢡⢰⡰⣠⢅⡄⠄⠀⠠⠀⠈⠀⢀⠀⢀⠠⠀⠠⠐⠀⠀⠀⠂⠈⠀⠀⠄⠀⠁⠀⠀⠀⠠⠀⠠⠀⠀⠂⠀⠐⠀⠀⠂⠀⠀⠄⠂⠀⠄⠐⠀⠠⢀⢔⢬⢔⡬⣐⢀⠁⠀⠄⠀⢀⠀⠀⠄⠐⠀⠐⠀⠀⠀⢸⣿⣽⢯⣿⣽⣷ ⣾⢷⣿⡾⣿⣻⠀⠀⠀⠀⠁⢀⠀⠀⠄⠈⠀⠀⢠⣕⣗⣟⢾⡹⡵⡹⣝⢮⢄⠀⠂⠁⠀⠀⢀⠀⠀⡀⠀⡀⠐⠈⠀⠀⠄⠁⠀⠀⠂⠀⠂⠁⠀⠠⠀⠀⠂⠀⠁⢀⠀⠁⢀⠈⠀⢀⠀⠄⠀⢠⡴⣪⡳⣝⢝⡽⣺⢽⢮⡢⡀⠄⠀⠄⠀⠐⠀⠠⠐⠀⠀⠄⠀⠀⣷⣿⣻⡷⣿⣾ ⣾⡿⣷⢿⣟⣿⠀⠀⠀⠀⠁⠀⢀⠐⠀⠀⠂⢁⡾⣺⣺⣺⣝⢮⡫⣝⢮⡺⣝⢷⡄⠀⠄⠁⠀⢀⠀⢀⠀⢀⠠⠀⠐⠀⠀⠄⠈⠀⠐⠀⠠⠐⠈⠀⠀⠐⠀⠂⠁⠀⠀⠐⠀⠀⠠⠀⠀⠠⡰⡯⡯⣺⢪⢮⡳⣝⡽⡽⡽⡽⣄⠀⠠⠀⠂⠁⠀⠄⠀⠠⠀⠀⠀⠀⣿⣯⣷⣿⢿⣾ ⣷⣿⡿⣟⣯⣿⡇⠀⠀⠈⠀⠈⠀⠀⠀⠂⠀⢸⡯⣗⡯⣞⡮⣗⡽⣜⢮⣺⣝⣗⣟⡄⠀⠠⠐⠀⠀⢀⠀⢀⠀⠀⠄⠂⠁⠀⡀⠈⠀⠠⠀⢀⠠⠀⠈⢀⠠⠀⠠⠀⠁⠠⠐⠀⠠⠀⠈⣼⢽⣫⣟⢮⣫⢞⡞⣞⣞⡯⡯⡯⣟⠀⠠⠀⠠⠐⠀⠀⠂⠀⠄⠂⠀⢸⣿⢷⣿⣾⢿⣷ ⣽⣾⢿⣟⣯⣷⣧⠀⠀⠀⠐⠈⠀⠈⢀⠀⠁⢸⣽⣳⣻⢽⢽⣳⣝⢾⡽⣺⣺⡺⡮⣷⠀⠀⠄⠀⠈⠀⠀⢀⠀⠄⠀⡀⠄⠀⡀⠀⠁⠀⠄⠀⠀⢀⠈⠀⠀⠀⡀⠄⠐⠀⠀⠠⠀⠠⡸⡯⡯⣞⡾⣽⣺⢽⢝⣗⡷⣫⢿⢽⡽⠅⠀⠐⠀⢀⠐⠈⠀⠠⠀⠀⠀⣼⡿⠟⢗⡿⣟⣿ ⣻⣽⣿⣻⣿⣽⢿⣆⠀⠀⠀⠄⠀⡈⠀⠀⠈⢸⣞⡾⣺⢽⡽⣺⣺⡳⣯⢷⣳⣻⢽⣺⡆⠀⠄⠂⠀⡈⠀⢀⠀⢀⠀⢀⠀⠀⡀⠀⠁⠠⠀⠂⠁⠀⢀⠠⠀⠁⠀⠀⢀⠐⠈⠀⢀⠀⡿⡽⣽⡳⡯⡷⡯⣯⣳⢗⣯⢯⡯⣷⣻⠀⠈⠀⠐⠀⠀⡀⠂⠀⠄⠂⡐⠀⠀⠀⣼⣿⢿⣿ ⣿⣯⣿⣻⣾⣟⣿⣻⣧⡀⠀⠀⣀⣠⡾⣿⠀⠀⢳⡯⣯⢯⡯⣟⣮⢯⢷⣻⣺⣺⢽⣺⡅⠀⢀⠀⠄⠀⠠⠀⢀⠀⢀⠀⠀⠄⠀⢀⠁⠀⡀⠠⠀⠂⠀⠀⢀⠀⠂⠈⠀⠀⠀⠄⠀⢰⢟⣽⡳⡯⣯⢯⣟⢾⣺⢯⢯⣻⢞⣗⠃⠀⣠⣥⡀⠂⠁⠀⠀⠂⢀⠔⠀⠀⠀⣼⣿⢿⣟⣯ ⣿⣽⣾⡿⣷⡿⣯⣿⣯⣿⡦⣴⡯⣷⣻⣽⢾⣻⡆⢻⢽⣽⣺⣻⣺⣽⣻⣺⣳⢽⣫⢷⠇⠀⢀⠀⠠⠀⠂⠀⡀⠀⡀⠄⠂⠀⠂⠀⡀⠄⠀⢀⠠⠀⠀⠁⠀⢀⠀⠂⠀⡈⠀⠠⠐⠀⣿⣺⢽⡽⡾⡽⣞⡿⣺⡽⣻⣺⠯⠃⣤⣄⡻⣞⣿⣲⣄⠀⣁⡔⠁⠀⠀⢀⣾⣿⣻⣿⣻⣿ ⣾⡿⣷⣿⣿⣻⡿⣷⢿⣷⢟⣷⣻⢯⣷⣻⡽⣗⣿⡂⠙⢞⣾⣺⣳⣳⣳⣳⡽⣽⢽⡝⠀⢀⠀⠄⠀⠄⠀⠄⠀⡀⠀⡀⠀⠄⠂⠀⡀⠀⠠⠀⠀⡀⠈⢀⠈⠀⠀⡀⠁⠀⠠⠀⢀⠀⠱⡯⣟⣞⡯⡿⣵⣻⢽⢾⢽⠞⠀⣤⡿⣽⡽⣟⣾⣗⣿⣺⢽⡵⠀⠀⣠⣿⣿⣽⣿⣽⣿⣻ ⣟⣿⡿⣾⣿⣽⡿⣿⣻⣯⢟⡾⣽⣻⢾⡽⣯⢿⣺⢇⣀⡀⠑⠷⣳⢯⣞⣗⣯⡯⠃⠀⡀⢀⠀⠀⠄⠀⠂⠀⠄⠀⠠⠀⠠⠀⠠⠀⢀⠐⠀⠐⠀⠀⠐⠀⠀⠄⠁⠀⢀⠈⠀⠠⠀⠀⠄⠙⠗⣯⢯⢿⢵⡯⠿⠉⠁⠀⠀⣿⡽⣯⢿⣽⣞⣷⣻⢽⢽⣺⣦⣾⣿⢿⣽⣾⣿⡾⣟⣿ ⢿⣻⣿⢿⣾⣟⣿⣟⣿⣻⡽⣺⣳⡿⣽⢯⡿⣽⢯⡿⡽⡇⠀⢀⠀⠀⠉⠁⠀⠀⡀⠄⠀⢀⠀⠐⠀⠐⠀⠐⠀⠈⠀⡀⠄⠠⠀⠂⠀⠀⡔⠀⢀⠁⠀⠂⠁⠀⡀⠂⠀⡀⠈⠀⡀⠂⠀⠠⠀⢀⠀⡀⠀⡀⠀⠠⢠⡷⣶⢽⣽⢯⣿⣺⡷⣯⡿⣝⡯⣞⣿⣽⣾⣿⢿⣷⢿⣿⢿⣿ ⣿⢿⣻⣿⣯⣿⣯⣿⣻⣿⡾⡽⡮⡿⣽⢯⡿⣯⢿⡽⠟⠀⠀⠄⠀⠁⡀⠁⡀⠁⠀⠀⠠⠀⠀⠂⠈⠀⠐⠀⠁⠀⠁⠀⠀⡀⠄⠀⡈⢰⣇⠀⠠⠀⠈⠀⡀⠂⠀⡀⠄⠀⠄⠁⠀⡀⠈⢀⠠⠀⢀⠀⠄⠀⠐⠀⠀⢻⣽⢯⡿⣽⢾⣳⣿⣳⢯⣗⡯⣷⣿⢿⣽⣾⣿⢿⣟⣿⣿⢿ ⣟⣿⣟⡿⣾⢯⣷⢿⣻⡷⣯⢯⢯⢫⢝⢝⢽⢝⢿⢽⣄⡀⠂⢀⠈⠀⡀⢀⠀⠄⠈⢀⠐⠀⠁⡀⠈⡀⠐⠀⠁⢀⠁⠀⠂⠀⠀⠄⢀⣾⡻⡄⠀⠄⠁⢀⠀⠠⠀⢀⠀⠄⠠⠐⠀⢀⠐⠀⠀⠠⠀⠀⠄⠂⠁⠀⠁⠀⢻⢽⣟⡿⡽⡻⡺⡺⡹⡺⣽⣽⢾⣿⣻⡯⣿⣟⡿⣯⣿⣻ ⣽⢷⡿⣽⣟⣯⣿⣻⣽⣯⢿⣯⢇⢗⢝⡜⡵⡹⡜⣕⡳⡝⡦⣀⠀⠂⠀⢀⠀⠄⠂⠀⡀⠐⠀⠀⠄⠀⠄⠂⠁⠀⡀⠈⢀⠈⠀⢄⣾⣺⢽⣳⡄⠠⠐⠀⢀⠐⠀⡀⠠⠀⠠⠀⠐⠀⢀⠀⠁⡀⠐⠀⠠⠀⡀⠁⣈⢤⢞⡝⡮⡺⡜⡵⡹⡜⣕⢝⣾⡽⣟⣾⢷⣟⡿⣞⣿⡻⣾⣻ ⣽⣟⣿⣽⣾⣻⣞⣿⣺⣽⢿⡾⣗⢝⢜⢎⢮⢳⢹⡸⡜⡮⡝⡼⡱⢦⢌⣀⠀⡀⠄⠂⠀⠠⠈⠀⡀⠂⠀⠠⠐⠀⡀⠐⢀⣠⣖⣟⣞⢾⢽⠾⡽⣢⣀⠠⠀⠀⠄⠀⠠⠀⠂⠀⠂⠠⠀⢀⠁⠀⡀⠁⢠⣀⢤⡲⣣⡳⣕⢽⡸⡪⡮⡳⡹⡜⡌⣏⣗⡿⡻⣶⣟⣷⢿⣻⣽⡾⣮⢿ ⣷⣻⣷⣻⡾⣯⢿⣞⣯⣿⡽⣟⣟⣯⣪⢳⡱⡝⣎⢞⢮⡚⣎⢗⢝⣕⢕⢧⡫⣣⡲⡲⣄⢆⡤⡦⡤⡤⡬⡤⡤⡢⡖⡮⡳⡱⡕⣎⢮⢺⡸⡕⡽⡸⡪⡫⡲⡤⢴⢌⣀⣀⡂⣈⣀⣀⢢⢤⢤⢲⢲⢹⡱⡕⣇⢯⢲⢕⡕⡧⣫⢺⢜⢎⢇⢧⢽⢖⣭⡾⣼⡷⡽⡾⣟⢯⢳⣿⢯⣛ ⣯⡿⣾⢯⡿⣯⡿⣯⡿⣞⣿⣻⣽⢿⣽⣮⢪⢺⡸⡪⡮⡺⣸⢪⣓⢎⢗⡕⣇⢧⢳⢹⡸⡜⣜⢎⢮⢫⡪⡇⣗⢵⢹⢜⢵⢹⢜⢎⢞⢼⢸⢪⡣⡫⡎⣏⢞⢼⢱⢕⢎⢖⢝⣜⢲⡱⡝⡎⡧⡫⣎⢧⢳⢹⢜⢎⢧⢳⡹⡜⣎⢧⢳⢹⡼⣿⣛⣫⣞⣼⣭⡏⣮⣧⣏⣧⣽⣞⢗⣯
⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⠟⠁⠀⠀⠀⠹⣿⣿⣿⣿⣿⠟⠁⠀⠀⠹⣿⣿⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⢼⣿⠀⢿⣿⣿⣿⣿⠀⣾⣷⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣷⡀⠀⠀⠈⠋⢀⣿⣿⣿⣿⣿⡀⠙⠋⠀⢀⣾⣿⣿⡇⠀⠀⠀⠀ ⢀⣀⣀⣀⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣾⣿⣷⣦⣤⣴⣿⣿⣿⣿⣤⠤⢤⣤⡄ ⠈⠉⠉⢉⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⡀⠀ ⠐⠚⠋⠉⢀⣬⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣥⣀⡀⠈⠀⠈⠛ ⠀⠀⠴⠚⠉⠀⠀⠀⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠁⠀⠀⠀⠉⠛⠢⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢤⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣀⡜⠻⠿⢾⣷⠹⠀⠀⠀⠀⣀⣤⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⡎⠁⠀⠀⠃⠀⠀⠀⠉⠀⠀⠀⡠⠞⠛⠛⠻⢽⠀⠀⠀⠀ ⠀⠀⠀⠸⣷⡀⠀⢀⠀⢂⠀⡀⠀⠀⠀⠜⠀⠀⠀⠀⡀⠸⠀⠤⢄⠀ ⠀⠀⠀⠀⠙⣗⣄⠀⠠⡀⢢⠃⠀⢸⠌⠀⡠⢊⠀⠊⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⣀⣀⣈⣲⣕⣦⡈⠢⣻⡀⡎⢀⣴⡢⠑⠂⠁⠀⠀⠀⠀⡠⠃ ⠀⣴⠿⠽⠏⠀⠀⠀⠈⠉⢒⣺⣷⣗⣉⣁⣀⣀⣀⠀⠠⠤⠐⠈⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⢀⠠⡖⠁⣿⢳⡬⡁⠒⠒⠤⢄⡀⠀⠀⠀⠀⠀ ⠈⢦⡀⠀⠀⡀⠄⠂⠁⠊⠀⢰⣯⡏⠎⢌⠑⠀⠀⠀⠈⠑⢄⠀⠀⠀ ⠀⠀⠉⡻⠀⠀⠀⠀⠀⠀⣲⡟⡟⠀⠀⠀⠢⡀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⢧⣤⡄⡀⠀⢀⡔⣽⠃⢧⡄⠀⠀⠀⠰⣀⠀⠀⣀⠞⠀⠀⠀ ⠀⠀⠀⠈⠳⠬⠥⠔⠋⡜⡌⠀⠘⣿⣦⣀⠀⡀⡇⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠜⡰⠀⠀⠀⠈⠛⠯⠥⠒⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠊⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣛⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⠉⢳⣰⠋⠙⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀ ⡀⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠙⠷⠋ ⣰⠟⠉⠙⢦⡀⢀⣾⡟⠉⠳⣆ ⣿⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⡿ ⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃ ⠙⢧⡀⠀⠀⠀ ⠀⢀⡴⠃⠀ ⠀⠀⠀⠙⠶⣄⣀⠴⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣠⠀⠀⠀⠀⠀⠇⣷⢶⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⡝⢚⣷⢿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⠀⠀⠁⠉⠈⠀⠀⡀⢦⠉⣄⠑⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⣼⣫⠛⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠉⣭⣯⣹⣉⣉⣤⠤⣖⠻⡈⢦⠘⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠇⣳⠴⢯⡴⢀⠀⠀⡄⠤⠢⠛⠈⠀⠀⠀⠀⡟⠚⠒⡀⣦⣷⠿⠤⣶⣛⢍⠤⠶⢰⠀⣆⠘⠋⣿⣴⠀ ⠀⠀⠀⠀⠀⣧⣸⠟⢠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠣⠋⠴⣠⢀⠀⠀⠀⠀⠀⡀⢄⠶⠓⠉⣀⠀⠀⠀⠀⣄⢹⡇⢀⠀ ⠀⠀⠀⠀⠀⡏⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⡄⣷⠀⠀ ⠀⠀⠀⠀⠀⣿⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠘⠀⠀⠀⠀⡄⢳⠀ ⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⠀⠀⠀⠀⡀⠹ ⠀⠀⠀⠀⠀⢸⡇⠈⠀⠀⠀⠀⠀⠀⠀⠃⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⠑⠀⠀⠀⠃⣾ ⠀⠀⠀⠀⠇⢀⡇⢸⠀⠀⠀⠀⠀⠀⠃⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⢀⣀⣳⣾⠓⣴⠀ ⠀⠀⠀⠀⡟⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀⠀⡾⠀⠀ ⠀⠀⠀⠁⢸⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠁⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⡏⢠⠀⠀ ⠀⠀⠀⡾⠀⠀⠀⠀⣇⠘⠀⠀⠀⠀⠁⡿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀⠀⠃⣰⠀⠀⠀ ⠀⠀⠇⢠⠀⠀⠀⠀⡇⣼⠹⠀⠀⠘⡿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀ ⠀⡇⡾⠀⠀⠀⠀⠀⡇⢹⡀⢳⠀⠳⣿⣿⣿⣿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀ ⠀⡇⢸⠀⠀⠀⠀⠀⡇⢸⠀⠀⢦⠛⣿⣿⣿⣿⣿⣿⢿⠻⠙⠉⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀ ⠀⡇⢀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⢧⠈⠀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣥⣼⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀ ⠀⡾⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⢷⠀⡶⣶⡠⣤⢦⡴⡷⣯⡿⠀⠁⡞⢀⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⠀⠀ ⡇⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⡁⢸⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⡾⢀⠀⠀⠀⠀⠀⠀⠋⢰⠀⠀⠀⠀⠀⠀⠀ ⡇⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠃⡴⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠋⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠋⣰⠀⠀⠀⠀⠀⠀⠁⣰⠀⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠘⠀⠀⠀⠀⠀⡄⢹⠀⠞⢠⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⡇⡼⢀⠀⠀⠀⠀⠀⠀⠃⡰⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⠈⠀⠀⠀⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠎⣠⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⢼⠢⠓⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠐⠀⠀⡆⠘⠀⠀⠀⠇⡼⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠀⠋⠴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠆⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡿⠗⠀⠠⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠈⠑⢶⣶⡄ ⢀⣶⣦⣸⠀⢼⣟⡇⠀⠀⢀⣀⠀⠘⡿⠃ ⠀⢿⣿⣿⣄⠒⠀⠠⢶⡂⢫⣿⢇⢀⠃⠀ ⠀⠈⠻⣿⣿⣿⣶⣤⣀⣀⣀⣂⡠⠊⠀⠀ ⠀⠀⠀⠃⠀⠀⠉⠙⠛⠿⣿⣿⣧⠀⠀⠀ ⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀ ⠀⠀⠀⣷⣄⡀⠀⠀⠀⢀⣴⡟⠿⠃⠀⠀ ⠀⠀⠀⢻⣿⣿⠉⠉⢹⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠞⠛⠲⣦⣤⠤⠤⢴⠏⣦⣈⣷⣚⠉⠻⡄⠀⠀ ⠀⠀⠀⣿⣀⠀⠈⠁⠀⠀⠀⢾⡀⢻⡿⠉⠉⣷⡞⠻⣦⠀ ⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠈⠛⠛⠷⣤⣴⠿⠿⣠⡟⠀ ⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢦⡶⢻⡄⠀ ⠠⠤⡧⠤⠄⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠋⢹⡏⠁ ⠀⢀⣿⡤⠄⠘⠿⠁⠀⠠⣞⣻⠄⠀⠀⠻⠏⢀⡈⣽⠛⠃ ⠀⠀⢈⡷⣶⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠿⠛⠂⠀ ⠀⠀⠀⠀⠀⠉⠙⠛⠛⠓⠒⠒⠒⠚⠛⠛⠉⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀ ⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀ ⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀ ⠀⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⢿⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀ ⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣠⣤⣤⣤⣤⣀⠲⢦⣄⡀⠀⠀ ⡶⢟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠰⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⡛⢷⣔ ⣾⡿⠟⠋⠉⠁⠀⡀⠀⠀⠀⠀⠈⠉⠉⠙⠛⢻⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⢛⣛⣛⣛⣛⣉⢉⣉⡀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣷⣝ ⠃⠀⠀⠀⠀⠀⠀⣛⣛⣛⣛⣛⣛⢛⡛⠛⠛⠛⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣌⠛⠛⢛⣛⣛⣛⣛⣛⣛⣛⣓⣀⠀⠀⠀⠀⠀⠈⢻ ⠀⠀⠀⢀⣤⡾⠛⢻⣿⣿⣿⡿⣿⡟⢻⣿⠳⠆⠘⣿⣦⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠐⠛⣿⡟⢻⣿⣿⣿⣿⢿⣟⠛⠻⣦⣀⠀⠀⠀⠀ ⠀⠀⢴⠿⣧⣄⣀⣘⣿⣿⣿⣿⣿⡿⣀⡙⢷⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⡖⠀⣾⣋⣀⣺⣿⣿⣿⣿⣿⣏⣀⣤⣴⠿⢷⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠉⠉⠉⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠆⠀⠀⢀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠁⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⣤⣴⣶⣾⠿⠛⠋⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⣆⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⣼⣿⡗⠀⠀⠀⠀ ⠀⠀⠀⣠⠟⠀⠘⠷⠶⠶⠶⠾⠉⢳⡄⠀⠀⠀⠀⠀⣧⣿⠀⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣤⣤⣤⣤⣤⣿⢿⣄⠀⠀⠀⠀ ⠀⠀⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠙⣷⡴⠶⣦ ⠀⠀⢱⡀⠀⠉⠉⠀⠀⠀⠀⠛⠃⠀⢠⡟⠂⠀⠀⢀⣀⣠⣤⠿⠞⠛⠋ ⣠⠾⠋⠙⣶⣤⣤⣤⣤⣤⣀⣠⣤⣾⣿⠴⠶⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀ ⠛⠒⠛⠉⠉⠀⠀⠀⣴⠟⣣⡴⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⠤⠤⢄⡀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠒⢤⠀ ⠀⠏⠀⠀⠀⠈⠳⡄⠀⠀⡠⠚⠁⠀⠀⠀⠘⡄ ⢸⠀⠀⠀⠤⣤⣤⡆⠀⠈⣱⣤⣴⡄⠀⠀⠀⡇ ⠘⡀⠀⠀⠀⠀⢈⣷⠤⠴⢺⣀⠀⠀⠀⡼⢁⡇ ⠀⠡⣀⣀⣤⠶⠻⡏⠀⠀⢸⡟⠙⣶⣴⠥⠼⠀ ⠀⠀⢠⡾⠉⠀⢠⡆⠀⠀⢸⠃⠀⠈⣿⣆⠀⠀ ⠀⠀⣿⣠⢶⣄⠀⡇⠀⠀⠘⠃⣀⡤⢍⣈⡀⠀ ⠀⠀⠀⠀⠀⠙⠼⠀⠀⠀⠀⠿⠋⠀⠀⠀⠀⠀
⣿⣿⣿⢿⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⡿⣽⣻⡽⢯⡿⣽⣫⡟⣽⣫⢟⣽⢫⡟⣽⢫⡟⣭⡻⣭⢻⡭⢯⡽⣭⢯⡽⣭⠻⣜⡣⢟⣜⡣⢟⡜⣣⢛⡜⣣⢛⡜⣣⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⡱ ⣿⣷⣻⣟⣾⣳⢿⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⡷⣯⣟⡷⣯⡽⣯⢷⣏⡷⣽⣣⢯⣟⢮⣯⢽⣚⡷⣹⢧⣻⡜⣧⣛⢧⡻⣜⢮⡳⣭⢻⡔⣏⡳⢎⡝⢮⠼⣱⢫⠼⣱⢫⡜⡱⢎⠶⡱⢎⠶⡱⢎⠶⡱⢎⠶⣙ ⣿⢿⣽⡾⣷⣟⣯⢿⡾⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⣞⣯⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣽⣻⢾⣽⣻⢾⣽⢾⣯⢷⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⢯⣟⡷⢯⣟⡷⣻⣵⡻⣾⣱⢷⣫⠷⣞⢯⡞⣧⢟⡼⣏⢷⣣⢟⡵⣫⢞⡽⣎⢷⡹⣞⢣⡞⣱⢭⡛⡼⣙⡞⣥⣋⢗⣣⠳⣜⡹⢎⡳⣙⢎⡳⣙⢎⡳⣙⢮⡹⣒ ⣿⣯⣷⢿⣳⣯⣟⣯⡿⣽⢯⣿⢾⣽⣻⢾⣽⣻⣞⡷⣯⢷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢯⣷⣟⡿⣞⡿⣞⣯⡿⣞⣷⣻⣞⣷⣻⣞⣷⣻⣾⣽⣿⣾⣿⣿⣾⣿⣷⣿⣷⣯⣟⣾⣭⢿⡹⣾⣹⢮⣏⢷⣫⢞⡵⣫⢷⡹⣎⢷⡹⣎⠷⡭⢮⡕⣏⠶⣹⢱⢣⠞⡴⣩⠞⡴⣋⠶⣙⢮⡱⣍⢮⡱⣍⢮⡱⡍⢶⣑⢣ ⣿⡾⣽⡿⣽⡾⣽⣳⡿⣯⣟⣾⣻⢾⣽⣻⣞⡷⣯⢿⡽⣯⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣟⣾⣽⣻⡽⣟⣯⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣛⡾⣼⢣⡟⣮⢳⡝⣮⢳⡝⣮⠳⣭⢛⡼⢣⢞⡬⡳⣍⢎⢧⡛⡴⢣⡛⡴⣍⢞⡱⢎⡵⣊⠶⡱⢎⡖⣱⡙⢦⡍⡖ ⣿⣻⣽⣟⡷⣟⣯⡷⣟⡷⣯⢷⣻⣟⣾⣳⢯⡿⣽⢯⣟⡷⣯⢷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⣟⣯⡷⣯⣷⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣵⣫⢞⡵⣏⢾⡱⢯⡞⡵⣛⢦⣛⡼⣍⠾⣰⠳⡜⣎⠶⡹⣜⢣⡝⡲⣍⢮⡱⢫⠴⣩⠞⣡⠳⡜⡥⣚⢥⡚⡜ ⣿⣽⣳⣯⣟⣯⡷⣟⣯⢿⡽⣯⢷⣻⢾⡽⣯⢿⣽⣻⢾⣽⣻⢯⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⢿⡽⣞⣯⢿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡽⢮⡝⣧⡛⣵⡩⢖⣣⠞⣬⠳⣥⢛⡼⣌⢳⡱⢎⢧⡚⡵⣊⠶⣉⢧⢛⡤⣛⠴⣋⠼⡱⡜⣆⢧⡙ ⣿⢾⣽⡾⣽⣳⣟⣯⣟⣯⢿⡽⣯⣟⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⡞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⢿⡽⣯⣟⣯⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⢟⠶⣙⢦⡛⡵⢪⡝⢦⡛⡴⣋⠶⣩⢖⡹⢎⠶⡹⠴⣩⠞⡱⢎⡣⠞⡴⢋⡼⣡⠣⡵⣈⠦⣙ ⣿⢯⣷⣟⣯⡷⣯⣷⣻⣞⣯⣟⣷⣻⣞⡿⣾⣽⣻⢾⡽⣻⡞⣷⡻⢷⣛⣾⣳⣟⣾⣳⣯⡿⣽⢯⡿⣽⣳⣟⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣟⣿⢻⡽⢺⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢯⡹⣆⠻⣜⢣⠞⣥⢛⡴⣩⢞⡱⢎⡵⢋⡞⣱⢋⠶⣉⠷⡩⢞⡱⣘⠣⢖⡡⢓⡴⣉⠖⣡ ⣿⣻⢷⣻⡾⣽⢷⣯⢷⣻⢾⡽⣞⡷⣯⣟⣷⣳⢯⣟⢾⣳⢟⣳⣟⣯⣟⣾⣳⡽⣞⡷⣯⢿⡽⣯⣟⣷⣻⣞⣿⣿⣿⡟⢥⠲⡝⣾⣟⣿⣿⣻⣿⣟⣿⣯⢿⣞⣷⣻⣽⣚⠷⣘⢧⡚⡕⢦⢫⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⢣⡭⢳⢬⢣⡛⡴⣋⠶⡱⢎⡵⢋⡜⣣⠞⡥⢫⡜⡱⢎⡱⢎⠴⢣⡙⢦⡙⢦⠱⣌⠚⡤ ⣿⣽⣻⢷⣻⢯⣟⡾⣯⣟⣯⢿⣽⣻⢷⣻⢮⣽⣳⢯⣻⣭⡟⣷⣞⣳⣞⡷⣯⢿⡽⣽⣏⣯⣟⣷⣻⣞⣷⣻⣿⣿⠫⠄⣉⣳⣽⣼⣿⣿⣿⢿⣟⣿⢯⣟⡿⣞⣷⡳⢞⡜⢢⠏⡖⡩⢞⡥⣛⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢣⢞⡱⢎⢧⡙⢶⡩⢞⡱⣋⠶⣩⠞⣡⠞⣱⠣⡜⡱⢊⠖⡩⢎⡱⡘⠦⡑⢎⡱⢌⡓⡔ ⣿⢾⣽⣻⣯⢿⣽⣻⢷⣻⣞⣯⢷⡯⣟⣞⡿⣼⢏⣯⢷⣳⣻⣳⣞⢷⣫⣟⡷⣯⣟⢷⣻⢮⡽⣞⣷⡻⣞⣿⣿⠁⠳⢾⣧⣽⣞⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⣿⡝⣮⢞⡳⣎⠳⡵⢊⡴⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢮⠳⣍⠶⣙⢦⡙⣎⠵⣊⠗⡱⢎⡱⣊⠥⡓⣬⢱⡉⢎⡱⢊⠴⣡⠣⣙⠢⡑⠦⡱⢌ ⣿⢯⣟⡷⣯⣟⣾⡽⣯⢷⣻⣞⣯⣽⣻⣼⣛⣾⣛⡾⣏⡷⣏⡷⣞⣯⢷⢯⡽⣶⢯⣛⣧⢿⡽⣳⢾⣽⣻⣿⠃⢉⡷⣿⣹⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⡿⣯⢟⡞⣞⡳⣜⣫⡑⠳⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢌⡳⢬⢳⡩⢖⡹⡸⡜⡡⢏⡕⢎⡱⣉⠖⡱⢢⠱⡘⠦⡑⣍⠲⢄⠳⣄⢣⡙⢆⡱⢊ ⣿⣯⢿⡽⣷⣻⣞⡿⣽⢯⣷⣻⢮⢷⣳⣳⠿⣜⣯⢷⣏⡿⣽⣹⢯⣞⣯⢯⣟⡾⣽⣛⣾⣫⡽⢯⣷⣫⣿⡟⢠⣯⣄⢿⣿⣿⣿⡧⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡱⢦⡝⢳⡒⠦⡄⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡱⣋⠶⣙⢎⡵⢱⠱⣙⠲⡘⢎⡱⢌⢎⡑⢣⠱⣡⢣⡑⠦⡙⣌⢃⢆⠣⡜⠢⣅⠣ ⣿⣞⣿⡽⣷⢯⡿⣽⣻⣟⡶⣯⢟⣯⣗⡯⣿⠽⣞⣯⢾⣝⡧⣟⡧⢿⣜⡯⢾⡽⣞⡽⣶⢏⣿⣛⡶⣯⣿⠇⠿⢱⣿⢸⣿⣿⣡⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣎⠧⡝⢲⠱⣌⡠⢘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠳⣍⢞⡱⢎⠴⣋⢜⣢⡙⡱⢣⠜⡌⠦⣙⢂⠳⡐⠦⣑⢣⠱⡌⠎⡜⢢⡑⢣⠆⢣ ⣿⡾⣽⣻⡽⣯⣟⣷⣻⠾⣝⣳⣟⣞⡾⣽⢞⡿⣽⣺⣝⣮⡽⣞⡽⣏⡾⣝⣯⠾⣽⣹⢞⣟⣮⢿⣱⢯⣿⠀⣐⡊⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣜⢣⠷⢤⡡⠉⠆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡵⣊⢮⡱⢍⡲⢩⡒⢤⢣⡑⢣⠚⢬⡑⢢⢍⠲⣉⠖⡡⢎⠱⡘⡜⣠⠣⣘⢂⢎⡡ ⣿⡽⣷⢯⣟⣷⣻⢾⣽⣻⡽⣳⢾⣝⡾⣭⢿⣹⢧⢷⢾⣱⡟⡾⣵⢏⣷⢻⡼⣻⡵⢯⣾⣹⢮⣯⣻⣿⣧⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣶⣭⡞⢣⢏⣬⡱⡌⢒⡠⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢲⠍⣦⠱⡎⡜⣡⠚⡔⢢⡙⢢⡙⢦⡘⢥⢊⠵⡨⠜⡐⢎⠱⡐⢆⡡⢒⡡⢊⠴⡐ ⣿⣳⣟⡾⣽⢯⣟⡾⣽⣫⢷⣻⣞⣽⣳⣛⣞⢯⣞⠾⣼⢏⣷⡳⡽⣞⡽⣞⢧⡿⣱⠾⣭⡟⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠾⢞⡩⣇⠣⠌⡑⢺⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⡑⢎⡴⢩⡒⢥⠣⣍⠲⣑⠪⡑⢎⡱⢨⠱⡌⢚⠤⢃⠲⡑⡌⢆⠓⡌⢃⠎⡱⠘⡄⢣ ⣿⡽⣞⡿⣽⣻⢾⣽⣳⢯⣟⡵⣞⣧⢷⡻⣼⢏⣾⢻⡽⣺⢧⢿⣹⢾⣹⡞⣯⠾⣝⡯⣗⢿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣖⣿⢯⢀⢒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡶⡷⣎⠷⣤⢓⡒⣩⢒⣿⣿⣿⣿⡟⡹⠋⢴⣆⡘⣿⣷⣏⢲⡘⢥⡙⢆⠳⣨⠱⠌⡥⣙⠢⣅⠣⢃⠍⡆⠣⠍⠦⡑⠌⡌⠱⡈⠆⡜⢠⠃⡜⢠ ⣿⡽⣯⣟⡷⣯⣟⡾⣵⣻⠾⣽⣻⡼⣳⢏⣷⢻⢮⣏⡷⣏⢿⡺⣽⣚⣧⢟⣧⢿⣹⢾⣹⢾⣹⢟⡿⢥⣼⣿⣿⣿⣿⣿⣿⣿⣿⢳⠚⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣭⡛⠿⡵⣉⠞⣩⠳⢦⡀⢎⣽⣿⣿⣿⣇⢠⣅⠮⠿⢿⠿⣿⣗⠦⣙⢢⡙⣌⠳⣄⠫⡜⡰⢡⠣⡔⢩⢊⠜⡰⢩⠘⡰⢁⠞⡄⢣⠑⡌⠔⡡⢊⠔⡡ ⣿⣽⣳⣯⣟⡷⣯⣟⣳⣽⢻⣳⣭⠷⣏⣟⡮⣟⡽⢮⣗⢯⡯⢷⡳⣏⣾⢫⣞⣳⢯⢾⣹⡞⣽⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡭⣇⡋⡔⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢮⡓⢦⡙⣷⡳⣬⣦⢥⡛⣤⡙⣦⣿⣿⣿⣿⣏⣿⢸⣿⣿⣿⣿⣾⣿⡜⣌⠣⣜⠰⢣⢌⡱⢢⢙⣂⠳⢌⡡⠎⢆⡑⢢⠡⡑⢊⠴⡈⢆⠱⣈⠒⡡⠎⡰⢁ ⣿⣞⣷⣻⢾⣽⣳⢯⣷⢫⣯⢷⣚⣯⡽⣞⡵⣯⢽⡻⣼⣛⠾⣯⢽⡳⣽⢻⡼⣽⡺⣏⡷⣽⢣⣟⡞⣿⣾⣥⣿⣿⣿⣯⣿⡳⢷⡈⡑⠌⢠⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣶⣍⢏⡞⣴⣙⣦⡹⢆⣿⣴⣽⣾⣿⣿⣿⣿⠐⡻⢷⢩⣿⣿⣿⣿⣿⡗⣨⠱⣌⠹⣂⠎⡔⢣⢌⠢⢃⠆⢢⠍⢢⠘⡄⢣⠘⣐⠢⡑⢌⠢⡁⢎⠰⡁⢆⠡ ⣿⢾⣳⣯⢿⡾⣽⣻⣼⣻⢞⣽⣹⢶⣻⢼⣻⢼⣳⡻⣵⣫⢟⡮⣗⣻⡼⣳⡽⣖⣻⡝⣾⡱⣟⢮⣽⡟⢻⣿⣿⣿⣟⣿⣯⢳⣦⣷⣶⣿⣿⢿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣼⣆⢳⣎⠿⣖⣾⣿⣾⣿⣿⣿⣿⣿⡀⣟⢈⣦⣹⣿⣿⢿⣿⠓⡤⢓⣌⢣⠱⡊⢜⡂⢎⡱⢊⡜⢄⠚⡄⢣⠘⡄⢃⠆⡱⢈⠆⡱⢈⠆⡱⢈⠄⡃ ⣿⢯⣟⡾⣯⣟⡷⣯⢶⣏⣟⡮⣗⣻⡼⣏⡾⡽⢶⡻⣵⢫⣾⡹⣞⡵⣫⢷⣹⢞⡵⣻⢖⣻⡝⣾⣿⠁⠰⠟⣿⣯⢸⣿⣯⡧⣴⣠⣴⣶⣦⣄⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿⣿⣿⣮⣷⣾⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣟⠃⢿⣿⠟⣽⣿⣿⠣⡙⡔⢣⠜⣢⠣⢍⠢⡙⢄⢢⠡⡘⢄⠣⡘⢄⠣⡘⢄⠊⡄⠣⡐⢄⠃⡔⢠⠃⡌⡐ ⣿⢯⡿⣽⣻⢾⡽⢯⡷⣞⢧⣟⣭⠷⣝⡾⣱⠿⣭⢗⣯⢳⡞⣵⡻⣼⣛⢮⡗⣯⡝⣧⡟⣧⢻⡞⣿⠀⠀⣦⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣹⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣛⣷⠿⣫⣾⢃⠧⡱⡘⢥⠚⣄⠳⣈⠱⡈⢆⠢⡑⢌⠢⡑⢌⠢⡑⠰⡈⢆⠡⢃⠌⡂⠜⡠⢂⠅⢢⠁ ⣿⢯⣿⣳⣟⣯⣟⣯⠷⣏⡿⡼⣞⢯⣻⠼⣏⣟⢮⣻⡜⣯⢞⣳⡽⣣⢯⣳⢻⡼⣽⢲⡟⣼⡳⣏⢿⣆⠀⢿⣿⣿⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠶⢟⣿⢅⠺⡰⢡⡙⠤⢋⠤⠓⡄⢣⠘⡄⢣⠘⡄⢣⠘⠤⡑⢨⠑⠌⡄⢃⠢⡘⠄⡃⠔⣁⠊⡄⢃ ⣿⣻⣞⡷⣿⢮⡽⣞⣿⡹⣞⡽⣞⢯⣳⢻⡝⣮⢟⡶⣻⡝⣞⣧⢻⡵⣫⣗⢯⣳⡭⢷⣫⢷⡹⣎⡯⢿⣆⠘⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢀⢻⡯⢌⢣⡑⢧⠘⡥⢋⠌⡓⢌⠢⡑⢌⠢⡑⢌⠢⢉⠆⢡⠂⡜⡐⢌⠂⡅⠢⡑⠌⢒⡀⠣⠌⡄ ⣿⣳⢯⡿⣽⣏⡿⣽⣲⢟⡽⣞⣭⢷⣫⢟⡼⣏⡾⣳⢧⣛⢷⡺⣝⡾⡵⣞⢯⡖⣯⡳⣝⡮⢷⡹⣞⣻⣿⡄⣿⣿⣿⡟⢛⣫⣿⣿⣿⣿⣿⣿⠟⣿⠛⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⣹⡟⣌⠲⣡⠊⡕⢢⠡⢚⠰⡈⠖⡡⢊⠔⠡⢂⠱⡈⢌⠂⡅⢒⡈⢄⠣⡐⢡⠂⢍⠂⡌⢡⠒⠠ ⣿⡽⣯⣟⡷⣯⢷⣳⡽⢾⣹⡞⡽⣎⡷⣫⡽⣞⡵⣛⣮⢟⣮⢽⣣⢟⣵⢫⡾⣹⢖⣯⢳⡝⣧⢻⡜⣷⣿⣿⣿⣿⣿⣴⣿⡿⡏⢻⣿⣟⣤⣽⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠠⢚⡯⣐⠣⢆⠹⣠⢃⠣⢌⠢⡑⠌⠴⢁⢊⠱⡈⢆⠘⡠⢃⡘⢄⡘⢄⠢⢑⢂⠩⢄⠊⡔⠡⠌⡡ ⣿⣽⣳⣯⣟⣷⣛⣶⢻⡝⣧⡻⣝⢾⣱⣏⢷⣹⢞⡽⣎⢿⡜⣧⣛⠾⣜⢯⣳⣛⠾⣜⢧⡻⣜⢧⡻⣜⣿⣿⣿⣿⣿⣿⡟⠳⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠌⡐⢫⢄⠫⡜⢠⢃⠌⡒⢌⠢⢑⠊⡄⠣⢌⠰⡐⡈⢆⠡⢂⠔⡂⠔⡈⢆⠡⢊⠰⡈⠒⢄⠣⡘⠠ ⣿⣞⣷⣻⣞⡾⣝⡾⢯⣽⢺⡵⣏⡟⣶⡹⣞⡽⣚⡷⣹⢮⡻⣵⢫⡟⡽⣎⠷⣭⣛⢮⡳⣝⢮⡳⣝⡞⡶⣿⣿⣿⣿⡿⠈⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠬⣙⠆⢳⠘⠤⣉⠆⡱⢈⢆⠡⢊⠰⡁⢆⠡⢂⠱⣀⠣⠌⢒⡈⢆⠡⢂⠱⡈⠤⢡⠉⡂⢆⠡⡁ ⣿⢾⣽⣳⢯⣟⡽⣞⡿⣜⣳⡽⣺⡝⣶⢫⢷⡹⣝⠾⣭⣳⢻⣜⡳⣽⢳⣭⣛⢶⣭⢳⡝⣮⢳⡝⣮⣝⡳⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡈⠴⣈⢏⠰⣉⠒⡡⢊⠔⡡⢈⠆⡡⢒⠈⡔⡈⢆⠡⡐⢂⡑⠢⡐⢂⠅⡊⠔⡠⢃⠢⡑⠨⠄⡃⠔ ⣿⣻⢾⣽⣳⢾⣹⣳⢽⡺⣵⢫⢷⡹⣞⡽⢮⣽⣚⢯⣳⢭⣳⢭⣳⢭⣳⢮⡝⡾⣜⢧⡻⣜⢧⡻⢶⣭⢳⢧⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⡐⢈⠲⢡⢎⡱⢄⡩⢐⠡⢊⠄⣃⠰⢁⠢⡑⠰⡈⢄⠃⡔⣁⠢⡑⢄⠃⡌⠰⣁⠒⡄⢃⠌⡑⢌⠰⢁ ⣿⣽⣻⢾⡽⣞⣧⢟⣞⣳⡭⣟⢮⢷⡹⣞⣳⢮⡝⣾⣱⢻⡜⣧⣛⢮⡳⣏⢾⣱⢏⡾⣱⢏⡾⣹⢳⣎⡟⡾⣴⢛⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠭⡀⢡⠌⡡⢂⡅⢺⡔⡨⢔⡡⢊⡅⢒⠠⡑⣈⠒⡈⢅⠒⣈⠒⡐⢄⠒⡨⠐⡌⠰⣁⢂⠒⡈⢆⡘⠰⢈⠢⢁ ⣿⢾⡽⣯⢷⣻⢮⣛⣮⢳⣝⣮⣛⢮⢷⡹⣎⢷⣹⠶⣭⣳⣛⠶⣭⡳⣝⡞⣧⣛⢮⣳⡝⣮⢳⣝⡳⢮⣝⡳⣯⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡁⠞⡌⠐⡤⠂⠤⢡⠘⣐⠣⣏⡐⠆⡔⣡⠈⡆⡑⠰⣀⠃⡜⢠⢊⡐⢌⠰⣈⠂⡅⢃⠌⡡⢐⢂⠱⢈⠆⢌⠡⢊⠄⠡ ⡿⣯⣟⡷⢯⢷⣫⠷⣭⢷⣚⢶⡹⢮⡳⣝⢮⣳⢭⣛⢶⣣⢏⡟⡶⣝⢮⣝⠶⣭⡳⢧⣻⣜⡳⢮⣝⡳⢮⣽⣟⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣍⡳⢍⢦⣹⡰⢬⠑⡠⠨⠰⢀⣋⠄⠳⣼⡄⣙⠰⢠⡘⠤⣁⠣⡐⢌⡐⢢⠐⡰⢈⠢⠄⡃⠔⣈⠢⠑⡂⢌⠢⡁⢎⠠⠃⡄⢊⠐ ⣿⢷⣯⣟⢯⢷⣫⣟⢮⣳⡝⣮⣛⢧⣛⢮⡳⣝⡮⣝⣮⢳⣏⣞⡳⣝⠾⣜⡻⢶⣹⢳⡳⢮⣝⡳⢮⣝⡳⣞⢿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣭⢻⣌⠳⣭⢖⣦⠳⣌⢌⠡⢁⠒⢡⠈⢎⠡⠜⣷⡈⠜⣠⠘⡰⢀⢣⠘⡄⠒⡄⢣⠐⡡⢂⠱⢈⠒⡠⢁⠣⢘⠠⢂⠅⢊⠐⠡⠐⠂⠌ ⣿⣻⢶⢯⣛⡾⡵⣞⢯⢶⡹⣖⢯⡞⣭⣳⢻⣜⡳⣝⢮⡳⣞⡼⣳⢭⣛⣮⡝⣧⢏⡷⣹⢳⢮⣝⡳⣎⠷⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯⣽⣳⢮⡳⣎⡳⡼⡞⡴⢫⡜⠌⢦⠉⠈⠄⡐⠂⡜⢨⢽⣿⡔⢂⠱⣀⠃⢆⠱⣈⠱⡈⢆⠱⣀⠣⡘⢄⠣⡐⢡⠊⡄⠣⢌⠘⡀⢊⠡⠌⠡⢈ ⣟⡷⢯⣟⡽⣺⣝⢾⡹⣎⢷⡹⢮⣝⠶⣭⡳⢮⣝⢮⡳⣝⢮⡳⣝⢮⣳⢮⣝⢮⡻⡼⣭⣛⠾⣜⡳⣭⣛⠶⣭⢿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣟⡳⢞⡥⢯⡽⣭⢳⢧⡹⢜⣣⡙⢾⡀⠎⠡⠀⢄⠡⡀⠣⢎⢿⣿⣧⣖⡠⢉⠆⡒⠤⡑⡈⢆⠱⣀⠣⡘⢄⠣⡘⢄⠣⡘⠰⡈⠆⡁⠢⠐⡈⢂⠁ ⣯⣟⣟⣮⡽⣳⢞⣯⢳⡝⣮⢽⡳⣎⡟⡶⣝⢯⡞⣧⣛⢮⢷⡹⣞⢧⣛⠾⣜⢧⡻⣵⢣⣏⠿⣜⡳⢧⣏⠿⣜⡧⣏⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⢾⡸⣹⡍⣞⣱⠞⣥⢻⢦⡙⣦⠧⡙⢦⡑⢎⠡⡀⠆⠰⢀⢣⠘⡼⣷⣏⡿⣿⣶⣾⣤⣵⣠⡑⣈⠒⠤⢑⠰⡈⢆⠱⡈⢆⠡⢃⠜⡠⠑⣂⠑⡠⠁⠌ ⣷⣻⡼⢶⣻⢵⣫⢞⣧⢻⡜⣧⢻⡼⣹⢳⡝⣮⡝⡶⣭⣛⢮⣳⡝⣮⣝⡻⣜⢧⡻⣜⡳⣞⡽⢮⣝⡳⣎⠿⣜⡳⣝⠾⣭⣛⠿⡿⢿⠿⣿⢿⣿⠋⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣞⡧⢷⡩⡜⠶⣥⢯⡙⣧⣾⠵⣣⠝⣌⠣⡜⢢⠡⡁⠂⠅⣂⠢⠘⢤⢫⡝⣻⣷⣻⢞⣽⣻⣟⣿⡿⣿⣶⣮⣴⣡⣈⠆⡑⠌⢢⠁⢎⡐⠡⡀⠎⢠⢁⠂ ⣷⣳⢻⣏⣞⢧⣛⡾⣜⢧⡻⣜⣧⢻⡵⣫⢾⡱⣏⢷⣣⢟⣮⢳⡝⡶⣭⢳⡝⣮⢳⣭⢳⡝⣞⡳⢮⡝⣾⡹⢧⡻⣜⡻⢶⡍⡷⣍⣛⠮⡵⢎⣽⠀⠀⠀⠀⢮⣿⣿⣿⣿⣿⣿⡿⡞⣥⢳⡉⢳⡜⣦⢿⡻⣌⠷⣢⠝⣠⠒⡌⢠⠃⡔⢁⠂⠴⢈⡑⢎⡳⢼⢯⡷⣯⣟⣮⢷⣻⣾⣟⡿⣽⣿⣻⣿⣿⣿⣷⣾⣤⣉⡤⠘⢠⠁⡌⠂⡄⢂ ⡷⢯⣛⣞⢮⡻⣜⡳⣝⢮⢷⡹⣎⢷⡹⢧⣏⢷⡹⣎⢷⣫⢞⣧⢻⡵⣫⢷⡹⣎⢷⡺⣝⠾⣱⢏⡳⣝⢶⣹⢳⡝⣧⣛⢧⠞⡵⢎⢧⡛⣜⢣⢾⡃⠀⠀⠀⠠⣼⣿⣿⣿⣿⣟⣷⡻⣬⢓⣌⠶⣹⣯⣗⣳⣭⠳⡆⣍⠲⠠⠄⠃⡜⠐⡌⡀⢂⠬⠑⡎⡵⢋⡞⣹⢳⣻⣾⣿⢿⣟⣾⣟⣷⣿⣿⣽⣷⡿⣯⣿⣿⣿⣿⣿⣦⣴⣀⠡⠐⠂ ⣟⢯⡽⣎⣯⢳⡭⣗⢯⡞⣧⢻⡜⣯⣝⡳⢮⣏⢷⡹⣎⢷⣫⢞⣧⢻⡵⣫⢷⡹⣎⠷⣭⢻⡥⣏⢷⡹⣎⢷⣫⢞⡵⣭⠺⡭⣝⢮⢣⡝⣬⠓⡾⡇⠀⠀⠀⠐⢼⣽⣿⣿⣿⣿⣷⣿⠶⣏⢬⣛⣷⣻⣞⡷⣊⠷⣉⠦⣁⠣⣘⠐⡈⠱⣀⠖⠡⠀⡝⡘⡔⠫⡔⢣⡞⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⣾⢿⣟⣷⡿⣯⣿⣿⢿⣿⣿⣿⣾⣤ ⣯⣛⢾⡱⣏⢷⡹⣎⢷⡹⣎⢷⣛⠶⣭⣛⠷⣎⢯⡳⡽⣎⢷⣫⢞⣧⢻⡵⣫⠷⣭⢻⡜⣧⢳⡝⣎⢷⡹⣎⢷⣋⠾⣜⢫⡵⣚⡬⢳⡜⢦⡛⡴⣧⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣯⡿⣜⡶⣹⣾⢯⣟⣳⡽⢎⡕⢢⠰⣁⠣⡜⢀⠡⡘⢠⠁⢆⠐⡤⢩⠓⣬⢓⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣻⣿⣿ ⡷⣭⡗⣯⠽⣎⢷⣫⢞⡵⣫⡞⣭⣛⠶⣭⢻⡼⣣⢟⡵⣫⢞⡵⣫⢞⣧⢻⡵⣻⡜⣧⢻⣜⡳⢞⡭⡞⣵⢫⡞⣭⢻⢬⡳⣜⡱⢺⡱⢎⢧⡙⡖⣿⠀⠐⠄⢀⠀⠀⠉⣿⣿⣿⣿⣿⣟⡷⣏⣷⣿⣿⢿⣻⡝⢮⡜⣡⠓⠬⣑⠜⣨⠂⡁⢃⡚⢤⡈⢠⢃⡝⢦⣛⡾⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣽⣿⣽⣿ ⣟⡵⣻⣜⡻⣜⢧⣛⢮⡳⢧⡻⣵⢫⡟⡼⢧⡻⣵⢫⡞⣵⢫⡞⣵⢫⡞⣧⣛⢶⡹⣎⢷⣪⠽⣹⢼⣙⢮⣳⢹⡜⣣⢳⣙⠦⣝⢣⡝⢎⢶⣭⡿⠛⠀⠀⠀⢹⠆⣄⣀⠿⣿⣿⣿⣿⣯⣿⡽⣾⣿⣯⡿⣧⣛⢧⡚⡥⢊⠶⣩⢎⡡⢚⠄⢃⠜⡢⣄⠣⡘⣬⢣⠿⣽⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣯⢞⡵⣎⡷⣹⢎⣯⢳⡽⣳⡝⣮⢳⡽⣹⢧⡻⣜⢧⡻⣜⢧⣻⡜⣧⣛⢶⡹⣎⢷⡹⢶⣩⢏⠷⡮⣝⡞⣬⡓⣞⣱⢫⡜⣹⢬⣳⡾⠟⠋⠁⠀⢀⠀⠀⠀⢸⡅⣦⢉⡉⢿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡿⣖⡻⢦⡛⣌⢏⡾⡵⢪⡕⢯⣌⢣⣌⡱⢎⡧⣙⣤⢏⡿⣵⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢷⣫⢞⡵⣫⢗⡯⣞⢧⡻⣵⢻⡜⣧⢻⡵⣫⢷⡹⣎⢷⡹⣎⢷⡹⢶⡹⣎⢷⡹⢎⡗⣯⣜⢫⢷⡹⡖⣽⠲⣝⡼⢲⣍⣾⠟⠋⡁⢀⠀⠀⠀⢰⣿⠀⠀⠀⠈⡇⠸⣧⣌⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⡿⣥⣋⢷⡙⣞⣮⡽⣽⢳⣚⠷⣜⡲⣬⡳⢯⣶⢻⣼⣻⣞⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⡼⣫⢞⡵⣫⢞⡽⣎⠷⣭⢳⡝⣮⢷⡹⢧⣏⢷⡹⣎⢷⡹⢮⡝⣧⢳⡝⡮⡝⣏⡞⢶⢎⡿⢬⡳⣝⠮⣝⣲⣽⠟⠋⠀⠠⠀⢀⡀⢀⡈⢷⣾⣿⠀⠀⢠⠀⢻⡄⢽⣷⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⡍⣎⢿⣼⣳⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⣱⣏⣞⡳⣝⢮⣳⢭⡟⣼⢫⡞⣵⢫⣝⡳⣎⢷⡹⣞⢧⣛⢧⢻⡜⣳⠞⡵⣋⢶⡹⣚⢮⡜⢧⣛⡼⣹⣶⠟⢡⣀⠈⢒⠠⣇⢢⣽⣦⣿⣿⣿⣿⠃⠀⠈⢣⠀⢳⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⡼⣣⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣻⢯⣟⡳⡽⣎⢷⣛⣾⣳⣿⣿⣿⣿⣿⣿⣿ ⣳⢯⡽⣹⢧⡻⣜⢯⡞⣵⢫⡞⣵⢫⡞⣽⢣⡟⡼⢧⡻⣜⡻⣜⢮⣓⢏⡖⢧⠻⣜⡣⢟⣬⢓⡮⢫⣵⡿⠋⠀⠈⢻⣤⣚⡤⢿⡞⣿⣻⣿⣿⣿⠏⠀⠀⠀⠈⡆⠸⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⡵⣿⣿⣿⣧⣻⣾⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⡿⣟⣿⣯⣿⣟⡿⣿⣻⣿⣽⣟⣷⣿⢾⣟⡾⣽⣳⢧⣻⣼⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⢯⡞⣵⢏⡾⣱⢯⡞⡽⣎⢷⡹⣎⢷⡹⣎⢷⡹⣝⢧⡟⣼⡱⢏⡶⢭⡺⣜⢫⣝⡲⢭⣓⢮⡹⣼⡟⠃⠀⠀⠀⣐⡠⠞⣿⡽⢎⡽⣶⢿⣾⢏⡆⠀⠀⠀⠀⠀⠑⠀⣧⠀⢺⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣝⡮⣝⡾⣿⣳⣿⣟⣿⣿⣽⣷⣿⣿⣿⣿⣷⣿⣿⣿⣯⣿⣾⣟⣷⣿⣻⣷⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⡼⣣⡟⣼⢣⡟⣼⢳⡝⣮⢳⡝⣮⢳⡝⣾⡱⣏⠾⣜⢧⡝⡞⣜⡣⢗⣎⠳⣎⣵⣫⣼⣶⠟⣉⣠⠀⠀⠀⢀⡿⣷⢍⣙⣧⣿⣾⣿⣫⣝⣾⣤⣄⣲⣤⣹⣦⠲⠤⣄⠀⠈⢿⣿⣿⣿⣿⣿⠃⢤⣿⣿⡿⢫⣙⢮⣳⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣷⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡷⢯ ⣞⡳⣝⢾⡱⣏⣞⢧⡻⣜⢧⡻⣜⢧⡟⣼⢣⡝⣮⣛⡼⢎⣞⡹⡲⣍⣷⡾⠟⢋⢉⣥⣶⣾⣿⣿⣿⣿⠿⡩⢞⣷⠟⠉⡐⢎⠛⡍⢯⡽⣻⣿⡻⢿⣿⣿⣿⣿⣷⣦⣜⣦⡀⠹⣿⣿⣿⣿⠏⢀⣿⡿⠉⢁⠣⣞⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣟⣿⣟⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠾⣝⢯ ⣯⣝⢾⣣⢟⡼⣎⡷⣹⢎⣯⢳⡝⣮⡝⣮⢳⡝⢶⡹⣜⣫⣖⣽⠿⢋⡡⢴⠶⣞⡾⣞⣷⣿⣾⣿⣿⣟⡶⣡⣿⠋⠀⠀⢁⠢⠕⡚⢡⢎⡱⠭⣽⠿⣟⢿⡻⣝⣮⣿⣿⣿⣷⡧⣿⣿⣿⡋⢥⣿⡏⣠⣄⣠⣔⣫⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣟⡿⣿⣾⣿⣿⡿⣟⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣽⣯⢿⡽⣞ ⡷⢮⣳⡝⣮⢳⡝⣾⡱⣏⡞⣧⣛⢶⣽⣮⡷⠿⢛⠛⡫⢍⠋⡅⣎⢱⡙⣎⠿⣜⣻⡽⣿⣾⣿⣿⣿⣿⣿⣿⠏⢀⢠⡐⣠⠉⠒⠬⡁⢎⡰⢿⣬⡻⣜⣯⢷⣻⣿⣿⣿⣿⣿⣷⣉⡟⢦⡑⣮⢯⣴⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣻⡾⣿⣟⣯⡿⣿⣿⣯⣟⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡷⣯⡿⣽⢯ ⣽⢳⢧⡻⣜⢧⡻⢶⣹⢮⣽⡶⠿⠛⠉⠀⠐⠤⠣⡘⠐⢊⠒⡌⢂⠧⣜⡎⣷⣹⡾⣽⣷⡿⣿⣿⣿⣿⠿⣡⠲⣌⢶⡹⢿⣆⣙⣲⠱⣮⢙⠶⣣⢿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠥⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⢷⣯⣟⣷⣿⣳⣯⢿⡽⣷⣿⣾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⡷⣟⣯⣿ ⣳⢯⡞⣵⣫⢞⣽⣳⠟⠋⠁⠀⠀⠀⠀⠐⠠⠂⢀⠈⠄⢡⠘⡰⣍⡞⣴⢯⡷⣯⣟⣿⡾⣟⡿⡹⣍⢆⡳⢣⡽⣘⣮⡟⣽⣿⣿⢣⠷⣌⣯⣛⣷⣻⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⣶⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣯⢷⡿⣜⢯⢾⣭⢿⡿⣿⡿⣿⣾⢿⣿⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣿⣻⣿⣾ ⣟⢮⣽⢺⣵⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⠢⡜⢢⡝⢲⣟⡾⣽⣯⣿⣿⣻⡽⣛⢥⢳⡱⢎⢎⣝⢣⡻⣵⣳⡿⣟⣿⣞⣯⢿⣝⡶⣛⡾⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣟⡾⣞⡯⣝⢿⣫⡗⣾⣯⣿⡽⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⣿⣷⣿ ⣻⢞⣼⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⠔⣠⠒⣭⠳⡜⣧⣿⣟⣷⣯⢷⣫⢇⡧⣙⢎⢣⠳⡞⡼⣌⢷⣻⢽⣯⢿⡽⣯⣟⡞⡿⣮⣽⢳⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠘⢦⡈⢿⣞⣿⣿⣿⣿⣷⡿⣿⣟⡾⣽⣟⡾⣽⢣⡟⣽⣺⢷⣻⢽⣳⣯⣿⢿⣻⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿ ⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢬⡸⣔⢫⢖⣻⣾⣿⠿⣝⡾⣡⠧⣍⠞⣰⠙⢎⡲⢥⣛⣼⣻⡼⢯⡟⣞⢯⣿⣱⢿⡜⣷⡝⣾⢻⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢳⣄⡆⣹⣜⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣳⢏⡷⣭⢗⣯⣛⣷⢻⣾⢯⣿⣻⣽⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢆⡞⠶⣱⣮⣾⣿⣿⢿⡽⣛⡮⢱⡡⣚⡜⡸⢣⢛⣤⡝⣫⣼⠶⡽⢾⡹⡞⡭⢞⠶⢭⢞⡹⣞⡽⣮⢿⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⣻⣽⢻⡼⣾⢿⣿⣿⢿⣻⣿⣿⣾⣳⢯⡻⣼⢛⡾⢧⣻⣼⣻⣾⢿⣽⣿⣻⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⡌⣞⣬⣿⣿⣿⣿⣿⣯⣿⡟⢧⠘⡅⣶⢩⠞⣱⢛⣼⢲⡝⣣⢟⡽⢞⡹⢻⡱⣛⢮⣙⣧⢫⡷⣭⢷⣯⣟⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣰⣿⣿⣻⣿⣯⣿⣿⣿⣿⣿⣟⣮⢷⡏⣯⢳⣭⢻⡼⣟⣧⣿⣹⣽⣻⣯⣿⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠄⠈⠀⠀⠀⡜⣰⣿⣿⣿⣻⣽⣯⢿⣿⣯⠳⡜⢠⢛⡘⢤⡃⣞⡥⢏⡞⡶⣙⢮⣟⡼⡳⣍⣳⣫⡝⣮⣝⣮⣻⡽⢯⣿⣾⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡷⢧⣿⣿⣿⣿⢯⣟⡾⣽⢻⡯⣟⣳⡛⢾⣳⣽⡽⣞⡿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⡘⡼⣼⣿⣻⣷⢿⣽⣿⣽⣿⣿⣦⠃⡄⠙⠦⠸⠀⡗⡌⢲⡛⣜⠶⣙⡞⣼⣱⢯⣝⣣⢿⣝⣯⣟⣾⣳⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣼⣿⣋⢿⡟⣞⣻⣞⡷⣹⢏⡷⣫⢷⣹⣛⣷⣻⣽⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢠⡉⣥⢻⣽⣷⢿⣷⣯⣿⣿⣿⣿⣿⣿⠂⠄⠡⠒⠐⠈⠳⢐⡚⡡⢜⡭⢻⡴⣛⢶⣭⡞⣧⣟⣯⢿⣭⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⢿⠙⣇⣿⢫⡝⣭⣓⣮⠷⣳⢾⣱⢟⣯⣟⣯⣷⣻⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣷⣟⡷⣯⣿⣿ ⠀⠀⣀⣄⣠⠌⢦⡱⣯⣿⣻⣾⡿⣯⣿⣿⣿⣿⣿⣿⡏⠙⠀⠀⠀⡰⣃⡤⢋⣜⣍⣫⣜⣣⣷⣻⣟⣶⡿⣟⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡉⠁⡫⢜⠣⢯⣜⣦⠳⣬⠷⣽⣚⣷⣞⣳⣾⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣹⣿⣽⣯⣿
⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⢉⡗⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠈⡱⠖⠀⠀⠀⠀⠀⠀⠀⠀⣄⣠⠆⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠰⠓⠒⢴⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢨⠀⣰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⢹⡀⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⢠⣀⣶⠀⠀⠀⠀⠀⠀⠀⠀⢤⢀⣀⣀⣀⡠⠋⠀⠀⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣄⠊⠁⠀⠀⠀⠀⠀⢀⡨⢦⠀⠀⠀⠀⠀⠀⠀⠘⠒⠤⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡀⠔⠊⠁⢀⡀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠼⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠈⡀⠄⠂⠉⢀⡀⢰⠁⠀⠀⠀⠀⠀⠀⡴⠊⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⢊⠠⠒⣁⠤⠐⣀⡁⠤⢤⠃⢀⣀⡠⢄⡀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⡪⢐⡡⢐⠩⠐⠊⠁⠀⠀⠀⠚⠉⠉⠀⠀⠀⠙⠢⣀⡇⠀⠀⠀⠀ ⠀⠀⢠⡪⡪⡲⠕⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠃⠀⠀⠀⠀ ⠀⣰⣿⠞⠉⠀⠀⠀⠀⠀⡄⡰⡆⠀⠀⠀⠀⠀⠀⢐⣌⡶⠀⠀⠀⠀⠀⠀⠀⠀ ⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⣸⠤⡐⠁⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣶⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠖⢂⣽⣿⣿⣷⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟ ⠀⠀⠀⠀⣀⣤⡶⢿⣋⣥⣤⣶⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⡀⢀⣠⣾⠿⠋⠀ ⠀⢀⣴⣿⠟⠉⠀⠀⠀⠈⠉⠛⠻⣿⣿⣿⣿⡿⠛⠋⠉⣀⣤⠶⠟⠋⠁⠀⠀⠀ ⢰⣿⡟⠁⠀⠀⠀⣷⠀⠀⠀⠀⠀⠈⣿⣿⣟⣀⡤⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠿⣧⣀⡠⠤⢾⣿⣷⠤⠄⠀⠀⠀⢹⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠀⠀⠀⡿⠁⠀⠀⠀⠀⠀⠈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⠀⠀⠀⠀
⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀ ⢾⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⣀⣴⣶⣿⣿⣿⣿⡇ ⠈⢿⣿⣿⣿⡛⠛⠈⠳⣄⠂⠀⠀⠀⠀⠀⣠⠞⠉⠛⢻⣿⣿⣿⡟⠀ ⠀⠸⣿⣿⣿⠥⠀⠀⠀⠈⢢⠀⠀⠀⠀⡜⠁⠀⠀⠀⢸⣿⣿⣿⠁⠀ ⠀⠀⣿⣿⣯⠭⠤⠀⠀⠀⠀⠃⣰⡄⠌⠀⠀⠀⠀⠨⢭⣿⣿⣿⠀⠀ ⠀⠀⠹⢿⣿⣈⣀⣀⠀⠀⠠⢴⣿⣿⡦⠀⠀⠀⣀⣈⣱⣿⠿⠃⠀⠀ ⠀⠀⠀⢠⣾⣿⡟⠁⠀⠀⠀⠀⣿⣏⠀⠀⠀⠀⠘⣻⣿⣶⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⢂⠀⠀⠀⠀⠘⢸⡇⠆⠀⠀⠀⢀⠰⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⣷⣿⣆⡀⠀⠀⠁⠈⠀⠠⠀⠀⢀⣶⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⣿⣷⣴⡜⠀⠀⠀⠀⣦⣤⣾⣿⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡿⠛⠿⠿⠛⠁⠀⠀⠀⠀⠘⠿⠿⠿⠿⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢀⣠⠤⣶⣶⣤⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠟⢦⣤⡄⠒⠋⠁⠀⠀⢻⡝⢧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢿⡏⠀⢀⡀⠀⠀⠀⠀⠀⢷⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠘⠃⠀⠀⠀⠀⠀⣸⣸⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠁⠉⢳⣴⢻⣽⣟⢦⠘⠃⠀⠀⠀⠀⠀⠀⠀⢀⡿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠋⠐⠉⠙⣿⢿⡇⠀⠀⣀⡀⠀⠀⢀⡴⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢾⣄⠀⠀⠀⠀⠀⣰⠟⣽⠁⠀⣀⠓⠃⠀⢠⡞⣱⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⣿⣧⣦⣤⣤⡔⢋⠈⠁⠀⠀⠀⠀⠀⠀⠏⡼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠀⠀⠀⢸⣻⣿⣿⣯⠟⠋⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣞⣳⠀⠀⠀⠀⠀⠙⠛⠉⠀⠀⠀⢠⡀⢠⡄⠀⢀⡾⡯⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⢀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣡⡾⢋⡼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⠉⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⣸⢸⢠⡆⠀⠀⠀⠀⠀⠰⠞⠁⠰⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡽⠛⠘⢿⣥⣤⣤⣤⣀⠀⠤⠠⢤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⠶⣿⡛⠁⠀⠉⠉⠉⠙⣿⣦⢠⣰⠚⣋⣉⣁⣀⣤⠤⣶⣫⡤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠓⠚⠿⠯⠭⠭⠭⠤⠼⠏⢹⢾⠿⠿⠟⠓⠒⠚⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⢸⣼⠀⠀⠀⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡄⢠⡏⠀⠘⣿⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⣤⠏⠀⠀⠀⡿⠀⠀⠀⢴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡾⠃⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⡶⡦⢤⣀⡴⠋⣥⣍⡻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⢿⠀⠠⣶⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣥⣾⣷⣷⣶⡝⠂⠈⠀⠘⠓⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠘⣆⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢸⣸⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣔⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣆⠹⣆⠀⢠⡆⠀⢀⡀⠈⠁⠀⢸⠐⣿⣿⡀⠀⠀⠀⠀⢀⢠⣶⣟⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠫⢘⢧⣼⣷⣂⡈⠉⠀⢀⣀⡌⢧⠻⣿⣷⡀⠀⠀⠀⠨⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⢉⣿⡟⠿⠥⣶⣟⣉⣁⣠⡤⠴⠖⠙⠟⣴⣀⠀⣽⡿⣳⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠃⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠦⢤⣈⣨⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠈⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠙⠻⣄⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⢀⠀⢀⣀⣤⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣉⣩⣤⠴⠶⠶⠒⠛⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠤⠶⠒⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡍⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣫⣭⣷⠶⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠶⠖⠚⠛⠛⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠴⠛⠛⠉⡁⠀⠀⠙⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡷⠷⢿⣦⣤⣈⡙⢿⣿⢆⣴⣤⡄⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⡀⣸⡄⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣟⣩⣤⣴⣤⣌⣿⣿⣿⣦⣹⣿⢁⣿⣿⣄⣀⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⠋⠻⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠿⠛⢦⣽⣿⣿⢻⣿⣿⣿⣿⠋⠁⠘⣿⣿⣿⣿⣿⣿⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠁⠀⠀⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠿⣿⣯⣼⣿⡿⠟⠃⠀⠀⠀⣿⣿⣿⣿⣿⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣧⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⠟⠃⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⢁⣀⣀⣀⣀⣀⣠⣀⣀⢀⢀⢀ ⠀⠀⢿⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠙⠛⠛⠙⢻⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠘⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⢿⣿⣆⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡼⠁⢀⣀⡀⠀⠀⠀⣦⣄⠀⣠⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣬⢻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣰⣿⡿⠿⠦⢤⣴⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠒⣿⣿⣿⡿⠟⠹⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡖⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣾⣿⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣆⣀⣀⣤⣴⣶⣶⣾⣿⣷⣦⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣿⣿⡛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⡟⠛⠛⠻⠛⠛⠛⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠓⢁⣬⣿⠇⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⢰⡿⣻⠇⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢐⣯⠞⠁⠀⠀⠀⠀⠀⠀⣄⠱⣄⠀⠀⠀⠀⠸⡧⠟⠆⠀⠀⠀⠀⠘⠿⢿⠿⠿⣿⡿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡈⠂⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⡄⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣦⣦⣼⡏⠳⣜⢿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢠⣷⣦⣤⣀⣀⣀⣴⣿⣿⣿⣿⣿⡿⠻⠆⠸⣎⣧⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⡄⠀⣿⢹⡇⢸⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣦⠀⠀ ⠀⠀⣠⣤⣤⣄⣀⣾⣿⠟⠛⠻⢿⣷⠀ ⢰⣿⡿⠛⠙⠻⣿⣿⠁⠀⠀⠀⣶⢿⡇ ⢿⣿⣇⠀⠀⠀⠈⠏⠀⠀⠀ text here ⠀⠻⣿⣷⣦⣤⣀⠀⠀⠀⠀⣾⡿⠃⠀ ⠀⠀⠀⠀⠉⠉⠻⣿⣄⣴⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠁⠀⠀⠀⠀
⠀⣠⣶⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⢿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡏⢀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣟⣋⣼⣽⣾⣽⣦⡀⠀⠀⠀ ⢀⣼⣿⣷⣾⡽⡄⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣿⣿⣿⡿⢿⣟⣽⣾⣿⣿⣦⠀⠀ ⣸⣿⣿⣾⣿⣿⣮⣤⣤⣤⣤⡀⠀⠀⠻⣿⡯⠽⠿⠛⠛⠉⠉⢿⣿⣿⣿⣿⣷⡀ ⣿⣿⢻⣿⣿⣿⣛⡿⠿⠟⠛⠁⣀⣠⣤⣤⣶⣶⣶⣶⣷⣶⠀⠀⠻⣿⣿⣿⣿⣇ ⢻⣿⡆⢿⣿⣿⣿⣿⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠀⣠⣶⣿⣿⣿⣿⡟ ⠈⠛⠃⠈⢿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⠋⠁⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡄⠀⠀⠀⠀⠀⣼⠀⠀ ⠀⠀⢀⣷⡀⠀⠀⠴⣶⣿⣶⠦ ⠐⠶⣿⣿⡿⠖⠀⠀⠀⢻⠀⠀ ⠀⠀⠈⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⢀⣠⠤⠔⠒⠒⠒⠒⠒⠢⠤⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀(Ignore for z00phile rights, Like for YIPPEE) ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠦⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠘⣿⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠁ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡁⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠉⠉⠈⢙⢨⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁
⠀⠀⠀⠀⣸⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠁⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡇⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⠀⠀⠀⠀⠀⠈⣝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⣱⠟⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀ ⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠘⣏⣟⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⢰⠋⣀⡠⢴⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡀⠙⡸⡆⠳⣄⠀⠀⠀⠀⠀⠀⣀⣤⢄⣀⠤⠤⠤⠤⠤⠤⠤⠾⠵⠒⠒⠛⠉⠉⣠⡞⠀⠀⢼⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⣸⠀⠀⠀⠀⢠⠀⠀⠹⣄⠀⢹⠀⠈⢳⡀⠀⢀⡴⢚⡽⠛⠉⣠⡤⠤⠤⠤⣤⣀⣀⣀⣀⣀⣀⣀⣠⡾⠋⠀⠀⠀⣸⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⡟⠀⠀⠀⠀⣿⠰⡄⠀⠈⢧⠀⡇⠀⠀⠙⣤⠎⣠⠏⣠⠖⠉⢀⣀⠴⠶⠿⢥⣒⣉⠉⠉⠓⠻⢯⣀⠀⠀⠀⠀⣰⠃⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⢻⠀⠙⣆⠀⠈⢇⢸⡄⠀⠀⠸⣻⣟⣾⣡⠴⠞⠉⠀⠀⠀⠀⠀⠀⠈⠙⢦⣄⠀⠀⠈⠻⢤⠠⠞⣡⠆⠀⠀⢰⠇⠀⠀⠀⠀⠀ ⠀⠀⢿⠀⠀⠀⠀⠈⣇⠀⠈⢣⡀⠈⣼⡇⠀⠀⠀⠘⠙⢿⠛⠲⠤⠤⠤⢤⣤⠤⠤⠤⣖⣒⣒⣚⠛⠒⠲⠤⣌⢷⡘⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠘⣦⡀⠀⠹⣄⠻⡇⠀⠀⠀⠀⠀⠸⣧⡀⠀⠀⠀⠀⠉⢷⣀⠀⠀⠙⢷⣿⣿⣶⣄⡀⠈⢻⡇⠀⠀⣠⢾⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡄⠀⠀⠀⠀⠀⢨⢳⡦⠀⠘⢮⡇⣠⠆⠀⠀⢀⣤⣸⣷⡀⠀⠀⠀⠀⠀⢻⣦⠀⢲⣿⣿⡿⣿⣿⣷⣆⠀⡇⣠⡜⠁⣜⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣷⡄⠀⠀⠀⠀⠈⠳⣝⠦⠄⢀⡿⠁⠀⣠⣾⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠘⣿⣇⠈⠀⢉⣿⣟⠉⠽⢿⣾⠟⠁⠀⣰⢿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣟⣄⠀⠀⠀⠀⠀⠀⠙⠲⡞⠀⠀⣽⡿⢟⠋⣩⣲⠓⠇⣙⣫⣿⣦⡀⠀⠹⣿⣇⣠⣿⣿⠿⣿⡅⠛⠁⠀⠠⠞⠁⣸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⡌⠳⢤⡀⠀⠀⠀⠀⣸⠃⠀⣼⠫⢾⣴⣿⣿⣿⢿⣶⡄⠀⠈⠻⣿⣷⣤⣿⣿⣿⣟⡋⡀⠈⢿⡴⠂⢀⡤⠀⣴⣯⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⡄⠀⠉⠓⠲⠤⢼⡏⠀⠀⠉⣮⣿⣿⣿⡯⠹⠀⠙⢿⡆⠀⠀⠀⠙⢿⡿⣿⣿⣿⡿⠁⠀⠈⣧⠐⠛⠋⠬⣷⣾⣥⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⠆⠀⠀⠀⠀⠘⣇⠀⠀⢀⣾⣿⣿⣿⣤⠀⢦⠀⠀⢧⠀⠀⠀⠀⠀⠁⠸⣿⢟⠁⡄⠀⢀⣯⣤⣤⡀⠀⠀⠈⠉⠉⢹⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣈⣻⡶⠆⢀⡤⠴⣿⣆⠀⢸⡏⢻⣿⣿⠿⠀⡎⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠈⠻⠾⣅⣠⠞⠁⠀⠀⢳⡀⠀⠀⢀⣠⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⢒⣿⣯⠘⠛⢓⡘⠃⣀⣼⣿⣌⠳⠴⠃⡰⠃⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣄⡀⠈⡇⠀⣀⣴⣋⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠈⣇⣰⠇⠀⢀⣙⣷⣶⠯⣁⣀⡠⠴⠛⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠒⠒⠲⢤⡉⠳⣿⠛⠋⠁⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣤⡼⠋⠀⠀⠀⠀⠀⢻⠃⠀⡴⠋⠀⠀⠈⠉⠳⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠉⢀⣀⣤⠤⠒⠂⡇⠀⢸⠀⢀⡼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠿⣄⠀⠀⠀⠀⠀⠀⠘⡆⠀⠇⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⢹⣤⡤⣭⣤⣤⡤⣴⡾⠃⠀⢸⣷⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣁⣀⣀⡀⠹⣆⠂⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠲⡾⠋⢀⡀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣛⠛⠻⠾⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣤⣀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣁⣀⣀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⢶⣦⣙⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣟⡷⠲⣖⠛⢿⣿⣾⣿⣯⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢻⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠙⢮⣤⢤⡈⠳⢤⣹⣿⡟⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠶⠉⢻⣿⣶⣦⣤⣀⡀⠀⠈⠙⠻⠿⠟⠊⢉⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡆⠀⠀⠀⠉⠓⠿⣝⣻⠿⠿⢶⣶⣶⣶⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣼⣶⣶⡞⠾⠃⡀⠀⠀⠀⠀⠀⠙⠛⠙⠲⠄⢴⢽⣿⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⢿⣏⣛⡷⠆⢀⡤⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⢸⣸⣷⢤⣲⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠖⠚⠉⠀⠀⢀⣠⣽⠿⠗⣦⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢭⣿⣯⣀⠉⠑⠒⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠶⠟⠉⠀⠀⠀⠀⠀⣨⠉⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠁⠪⡙⢦⣀⠀⠀⠈⠉⠓⠲⢤⣀⠀⠀⠀⠀ ⠀⠀⢀⠞⠉⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⢩⡃⠀⠀⠀⠀⠀⠈⠙⣦⡀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⡶⠁⣠⣴⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣴⣿⠿⠋⣁⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⣿⡿⠟⠋⠉⠀⣀⣀⣀⣨⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣴⠂ ⠈⠉⠁⠀⠀⣀⣴⣾⣿⣿⡿⠟⠛⠉⠉⠉⠉⠉⠛⠻⠿⠿⠿⠿⠿⠿⠟⠋⠁⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⡿⠁⠀⢀⣀⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⡿⠁⢀⣴⣿⠋⠉⠉⠉⠉⠛⣿⣿⣶⣤⣤⣤⣤⣶⠖⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⡇⢀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀ ⠀⠀⠸⣿⣿⣿⣿⡇⠈⢿⣿⣿⠇⠀⠀⠀⠀⠀⢠⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣷⡀⠀⠉⠉⠀⠀⠀⠀⠀⢀⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⣷⣄⡀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣋⣠⡤⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡇⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠀
⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⣏⠓⠒⠤⣰⠋⠹⡄⠀⣠⠞⣿⠀⠀ ⠀⠀⠀⢀⠄⠂⠙⢦⡀⠐⠨⣆⠁⣷⣮⠖⠋⠉⠁⠀ ⠀⠀⡰⠁⠀⠮⠇⠀⣩⠶⠒⠾⣿⡯⡋⠩⡓⢦⣀⡀ ⠀⡰⢰⡹⠀⠀⠲⣾⣁⣀⣤⠞⢧⡈⢊⢲⠶⠶⠛⠁ ⢀⠃⠀⠀⠀⣌⡅⠀⢀⡀⠀⠀⣈⠻⠦⣤⣿⡀⠀⠀ ⠸⣎⠇⠀⠀⡠⡄⠀⠷⠎⠀⠐⡶⠁⠀⠀⣟⡇⠀⠀ ⡇⠀⡠⣄⠀⠷⠃⠀⠀⡤⠄⠀⠀⣔⡰⠀⢩⠇⠀⠀ ⡇⠀⠻⠋⠀⢀⠤⠀⠈⠛⠁⠀⢀⠉⠁⣠⠏⠀⠀⠀ ⣷⢰⢢⠀⠀⠘⠚⠀⢰⣂⠆⠰⢥⡡⠞⠁⠀⠀⠀⠀ ⠸⣎⠋⢠⢢⠀⢠⢀⠀⠀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠷⣬⣅⣀⣬⡷⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢠⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⡶⠶⠾⠿⠿⠿⠿⠁⠀⠀⠀⠘⠛⠛⠛⠻⠷⣦⣄⠀⠀⠀ ⠀⠀⠀⢁⡤⣤⣔⣒⣂⡠⠄⠀⠀⠀⠀⠀⠠⢤⣀⣐⣀⣤⠤⡈⠙⠀⠀ ⠀⠀⠀⠮⠥⠿⢿⣷⣇⡤⠭⠚⠀⠀⠀⠓⠯⠥⣼⣻⣿⠿⠬⠵⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠉⠀ ⠈⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢣ ⠀⠀⠒⠀⠤⠀⣀⡤⠶⢶⠖⡚⠶⢒⠳⠒⡒⠲⢒⡲⣒⣒⡖⠀⢠⠃⠀ ⠀⠀⠀⠄⠀⠀⠹⠻⣽⣍⣉⣋⣀⣉⣁⣈⣩⣤⣭⣥⡽⠋⠀⠀⠁⠒⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣭⣤⣤⣤⠤⠤⠄⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⣤⠟⡇⠀⠀⠀⠀⠀⠀⣠⣶⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣼⣿⡃⠀⠀⢀⡾⡃⠀⣿⠀⠀⠀⠀⢠⡼⠋⢸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⠟⠋⠁⣰⡟⣠⡇⠀⢻⡀⠀⢀⣴⠏⢀⡀⠘⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠟⣶⣿⡇⠠⠸⣧⣠⠟⠁⢀⣾⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠐⣧⡀⠀⠀⠀⣸⠏⢾⠿⣿⡇⠀⠀⠙⠃⠀⢠⣾⣿⡇⠀⣿⡆⠀⠀⢀⣀⠀⠀ ⠀⠀⠙⢦⣀⡾⢿⣶⣮⣅⡀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠅⠀⢹⣇⣠⠶⠛⠛⠀⠀ ⠀⢠⣄⣀⣹⡇⠘⣿⣿⣿⠿⠆⠀⠒⢻⣾⣶⣶⣤⡀⠀⣠⣼⡟⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣸⣧⠀⠀⠀⠀⠰⡆⠀⠀⠈⠿⣿⡿⡟⠻⠞⢯⣼⣇⣀⠀⠀⠀⠀⠀ ⠀⠠⡾⠛⠁⠘⠷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠉⠛⠶⣤⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⣿⣶⣶⣶⣶⣶⣶⠶⠛⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠙⠛⠛⠛⢻⣇⠀⠀⠀⠀⠉⠳⣦⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡆⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⡇⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢸⠇⠀⠀⠀⣷⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⠴⠞⠛⠛⡆⠀⠀⠀⢸⣆⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣋⢀⣀⣠⣴⣾⠇⠀⠀⣰⠟⠙⠶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⢁⡴⠋⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣤⣤⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠤⢤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⣀⠔⠒⢺⠻⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⡄⠀⠀⠀⠀⢀⣴⢳⣖⢁⡴⠂⢹⣉⣳⡀ ⠀⠀⠀⠀⣴⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠉⣁⣈⣯⣛⡦⡤⠠⠔⠋⣠⠊⡸⠋⡠⢾⣹⡀⠀⢵ ⠀⠀⠀⢸⡟⠉⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢁⡴⠋⣀⣠⡷⠬⣉⡗⠒⢲⣾⣿⠔⢁⠜⢁⠜⠁⠀⠀⠀ ⠀⠀⠀⢸⠁⢀⣾⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⢰⢁⠎⡠⠊⢙⠿⠓⠒⠢⡯⣁⠒⠋⢁⡤⠋⡠⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣦⣾⠏⠀⠀⠀⠀⠀⢸⢦⡀⠀⠀⠀⠀⠀⠀⠀⢸⠛⡎⡸⢰⢁⠔⢁⡤⠒⠉⠉⡗⠢⢍⣉⣁⡠⠚⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣾⣿⠟⠒⠉⣉⣀⣈⣉⣹⣑⡗⠢⢤⣆⣀⠀⠀⠀⢸⡼⣹⠃⡇⡎⡠⠃⠀⠀⢾⣭⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣼⣿⠟⢹⡐⠊⢉⣀⠠⠤⠾⠿⠀⣉⣉⢺⠻⢷⢍⣹⣾⢟⡠⠊⣸⢰⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⡿⠁⣠⣾⣿⣿⣧⡄⠤⠐⠒⠒⠒⠤⣤⣨⣍⣛⠒⠤⠄⢀⠠⠔⢹⣯⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠁⠰⡟⠉⢳⠊⢹⣷⠔⠒⠀⠉⠁⠐⠛⠛⠦⠬⣉⡑⠒⠠⠤⠔⢻⡰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣧⡀⠳⢄⢸⡎⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⢒⣶⣾⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠲⠤⠴⣗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⡀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⡿⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⡻⠤⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⢀⣀⠀⠀⠀ ⠀⣿⣁⢈⠉⠉⣉⣉⡧⠀⠀⣼⠋⠁⠀⠘⠢⡾⠋⠉⠉⢳⠀ ⠐⠛⢻⣯⠀⢠⠋⠉⠀⠀⢸⣷⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⡇ ⠀⠀⢸⡿⠀⢸⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀ ⢴⣯⣉⣁⣀⡈⠒⠒⡀⠀⠀⠈⠻⣧⡀⠀⠀⠀⢀⡠⠊⠀⠀ ⠈⠉⠉⠉⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠉⠢⡠⠒⠁⠀⠀⠀⠀ ⢰⣖⠒⡀⠀⢠⣴⠒⡂⢀⣀⣀⡀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠙⣦⠈⢄⡾⠃⡜⣴⠟⢉⢥⡈⢢⢶⣯⢀⠁⠀⢰⡯⠉⡇ ⠀⠀⠈⢿⡬⢁⠌⢠⡿⠁⠆⠈⡇⢸⣿⣇⢸⠀⠀⢸⡇⠀⡇ ⠀⠀⠀⢸⡯⢻⠀⢸⡇⠀⡀⢸⠇⢸⣿⠃⢈⠀⠀⣿⡀⠀⡇ ⠀⠀⠀⣾⠁⠘⠀⢸⣧⠀⠈⠁⢀⠎⣿⠀⢺⠀⣰⡿⠀⢠⠁ ⠀⠀⠀⠛⠒⠃⠀⠈⠛⠳⠶⠖⠋⠀⢿⣄⡀⠉⠁⠀⡠⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀
⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡏⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⣀⠴⠋⠉⠉⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⠉⠉⠙⠓⠚⠁⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠦⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀ ⢠⣤⣶⣾⣧⣤⣤⣀⡀⠀⠀⠀⠀⠈⠀⠀⠀⢀⡤⠴⠶⠤⢤⡀⣧⣀⣀⠀ ⠻⠶⣾⠁⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⢹⣿⣭⣽⠇ ⠀⠀⠙⠤⠴⢤⡤⠤⠤⠋⠉⠉⠉⠉⠉⠉⠉⠳⠖⠦⠤⠶⠦⠞⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣀⡀⣀⣀⣷⣿⣾⣀⣿⣾⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣼⣀⣏⣿⣾⣤⣄⣶⢿⡿⣾⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢘⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⡆⣸⠀⠀⠀⠀⣀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠛⠛⠙⠀⠀⠀⠀⠀⠀⠀⡇⢾⠖⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢾⠒⠿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⣸⡗⣿⣨⠀⠀⠀⠀⠀⠀⠀⡆⢤⠧⣿⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢯⠴⡷⢸⠀⠀⠀⠀⠀⠀⠀⡷⣿⣿⣿⠻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡿⢠⡿⣴⣿⢹⠀⠀⠀⠀⠀⠀⣷⣸⡁⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣴⣀⣧⢹⠀⠀⠀⠀⠀⠀⠟⣿⣿⡘⣧⣿⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠈⡆⠀⣿⣸⠀⠀⠃⠿⠾⠿⠾⠶⣶⢿⠛⠻⠛⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠿⠿⠿⠿⡿⢻⠶⡦⣾⠳⠿⠛⠛⠚⠀⡇⣿⣀⣿⡀⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⣆⣹⠁⠿⣿⢛⠛⠛⡛⣿⢿⠛⢿⠿⠻⡿⣻⡿⣿⢉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣯⣿⠟⠉⠉⠉⠉⠉⠙⠉⠛⡏⣿⢈⠁⡏⣿⠈⣀⠏⣾⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡄⣿⢠⠀⡀⣀⣀⢀⠀⠀⠀⠀⠀⠀⣀⢀⣀⣀⣀⣦⣘⣅⣿⣿⣿⣿⣾⣰⣤⣤⣀⣀⣤⣤⣠⣀⣄⣠⣤⣤⣄⣤⣠⣤⣤⣷⢿⡇⣿⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⣿⠃⣿⠘⠃⠛⠛⠛⠛⠛⠛⠛⠛⠈⠀⠀⠋⠛⠉⠉⠉⠯⣿⣠⠀⡀⣄⣿⠻⠉⠋⠉⠉⠉⠋⠘⠀⠀⠁⠉⠉⠉⠉⠉⠈⠀⡅⣿⠀⣿⢼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡃⣾⡇⣿⢳⡞⣷⣿⣿⣿⣿⣿⣽⣿⢿⠛⠛⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠉⡿⣿⣿⣿⣿⣿⣿⢽⠋⣿⠀⣿⢻⠀⠀⠀⠀⠀ ⠀⠁⠀⠙⣿⢻⡟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⡾⣦⠷⠙⡂⣿⠀⠀⠀⠁⣿⣡⢛⠶⠷⣛⣉⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣄⣿⠙⣿⣽⠯⠈⠀⠀⠀ ⠀⠀⠀⠀⠁⡟⣴⣦⠶⠛⠛⠛⠺⠖⠤⠺⠙⠋⠟⣽⢋⠛⠛⠛⠒⣟⠿⣿⠠⠀⠀⡇⣿⣿⢛⠙⠉⠉⣉⢯⠿⠿⠓⠛⠛⠙⠉⠉⠉⠉⠉⠉⡿⣽⣤⣀⣠⣧⠸⠀⠀ ⠀⣿⠈⠀⣿⢠⠀⠀⠋⠰⠉⠋⠈⠄⠢⢙⡀⣉⣀⣀⣃⠟⠾⠿⠙⠀⡃⣯⠘⠀⠀⡟⣿⣖⣀⣀⣁⣟⣶⣷⢻⠈⠀⠀⠀⣀⣉⣉⣉⣀⣀⣀⣄⣷⠻⠰⠃⣿⢠⠀⠀ ⠀⣆⣿⠙⣿⠸⠀⠀⠃⡿⣾⣷⣹⠀⠇⠘⠇⣸⠀⠀⡷⢠⠛⡈⣤⠐⡄⣟⢸⠀⠀⣿⠿⡴⠀⠀⡄⣠⠿⠘⣆⢠⠀⠀⠀⣦⣻⠈⣁⣿⢸⠀⠀⡇⣻⡿⣾⢀⠀⠀⠀ ⠀⠀⡃⣿⣠⠏⠿⠸⡆⣿⠙⡄⣿⠀⡞⢡⡟⣾⠀⠀⠀⠀⣧⢻⠈⠳⠈⣷⢸⠀⠀⣿⢹⠞⢁⠏⣡⠟⣾⢀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⡀⣦⢿⠘⠀⠀⠀⠀ ⠀⠀⡿⢠⠀⣷⣾⢠⠁⣆⣿⠀⣷⡾⢁⡿⣠⠀⠀⠀⠀⠀⠀⣤⢷⠻⣍⣿⢸⠀⠀⣿⢿⢾⣥⢋⡿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠙⠀⠀⠀⠀⣄⣼⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⡀⠀⡄⢳⠁⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⢸⠀⢸⣿⣿⡾⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢠⠀⠀⠀⠀⢹⠀⠀⠀⠀ ⠀⠃⣿⠀⠀⠄⠠⠀⠀⠀⠀⠀⠀⠂⣷⠉⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⣿⢸⠀⢳⣿⣿⠼⠄⠀⠀⠁⠉⠙⠀⠉⠉⠀⠀⠁⠈⠀⠀⠀⠀⠀⠙⠈⠀⡗⣿⠀⠀⠀⠀ ⠃⣿⢠⠀⠀⠉⠋⠟⠿⠾⠶⠶⡶⣶⢶⣶⢶⠿⠿⠻⠙⠈⣄⠳⠈⠀⠀⣇⢸⠀⡷⣿⢡⠾⠠⠁⣩⣚⠗⡻⣿⣿⣟⢿⠿⠛⣟⠻⠛⣛⢙⡉⡈⣄⠰⡇⣾⠸⠀⠀⠀ ⡇⢉⠛⠿⣶⣤⣀⢁⠉⠉⠋⠛⠛⠛⠛⠛⠙⠉⠉⡀⣀⣤⣦⠿⠛⠙⠀⡟⢸⠀⣇⣿⡽⢚⠵⣻⢟⡶⣤⣠⣀⢀⠁⠉⠉⠉⠈⠀⠀⣀⣀⣄⣤⢶⠿⡟⣿⢀⠀⠀⠀ ⡿⣴⣀⠀⠁⠟⡿⣿⣾⣷⣽⣤⣀⣯⣩⣿⣤⣆⣷⣿⠿⠻⠉⠀⣀⣧⢻⣟⣿⠀⡇⣾⣋⡿⣴⣠⢁⠋⠿⡾⣶⣷⣴⣸⣄⣤⣤⣯⣾⣶⢷⠻⠛⠈⠀⣀⣤⢿⠙⠀⠀ ⠀⠀⠃⡿⣾⣤⠀⣍⣿⡿⣿⣿⣿⣿⣿⣿⣿⠿⡿⢟⡴⣡⣿⢿⠙⠀⡀⣧⣿⠉⡟⣿⣴⢀⠋⠿⣿⣦⣶⠻⠋⠛⠿⣿⣿⠿⡿⣿⠛⠙⠈⡉⣿⣿⢻⠙⠀⠀⣦⢿⠀ ⠀⠁⡿⣿⣹⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠛⡾⣿⣿⠹⠀⠀⣶⣿⣿⣠⠀⠏⣿⣿⣤⢷⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠌⣠⣿⣿⠿⠈⠀⣧⢸ ⠀⡇⣿⢠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣥⣿⣿⠈⠁⡇⣿⢰⠀⠇⣿⣿⣽⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣤⣋⣿⢹⠘⡄⢀ ⠀⡏⣿⠈⡆⣿⣿⣿⣾⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⡤⣿⣿⢸⠀⡏⣽⠀⠀⡿⣿⣿⣬⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡆⣷⣿⣿⢸⠀⠀ ⠀⡇⣿⠿⠿⣶⣿⣹⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⢳⠉⡇⣿⣿⢀⠃⣿⣿⠀⠀⡆⣿⣿⣽⣟⣿⣿⣸⠀⠀⣀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⢉⠈⡏⣿⣴⢀⠟⠀ ⠀⠀⣦⣿⣿⠻⡏⣾⠶⠛⠛⠟⣿⣿⣿⣿⣿⣿⣶⣤⢄⠻⣿⣿⣾⢠⠋⣿⢠⣆⢻⠈⠁⣆⣿⣿⠻⡏⣾⠁⠈⠀⠁⠛⣿⣿⣿⣿⣿⣿⣿⣼⢀⠁⣿⣿⣴⠀⠏⢰⠀ ⠂⠙⠀⡀⣤⣷⣿⠿⠿⣿⣙⣉⣯⣽⣥⣿⣻⠛⠿⡿⣿⣾⣴⣀⠃⡟⣴⢀⠀⠀⣄⢷⡙⠀⡀⣦⣿⣿⢿⢹⡁⣿⣼⣦⣷⣶⣴⣤⣧⣿⡛⣿⣿⣾⣴⢀⠁⠟⣴⠀⠀ ⠀⡆⣶⣶⣶⢶⣶⣶⣷⣿⣿⣿⣿⣿⣿⣶⣿⣶⣤⣠⢁⠉⠛⡾⣴⣀⠀⠀⠀⠀⠀⠀⣦⢷⠛⠈⠀⣄⣦⣶⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣾⣶⣶⠶⡶⣶⣶⣹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣤⣶⠿⠛⠛⠶⡴⣤⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢶⠓⠙⠉⠈⡀⣋⣛⣿⣴⣤⣤⣀⠀⠀⠀⠀⠀⠀⠋⠛⡀⢷⠙⠀ ⠀⠇⠿⠧⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢋⣿⣴⣀⠀⠀⠀⠀⠀⠁⠛⠛⠈⠀⡄⣤⢀⠀⠀⣇⢺ ⠀⡀⣤⣤⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠈⡄⣴⠋⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⡾⣴⢉⠀⠀⠀⠀⠀⠀⠇⣽⢋⠟⢠⠀⠀⠀⠀⠀⠀⡀⢠ ⠀⠀⠋⠋⠛⠘⠀⠀⠀⠀⠤⠶⠻⠙⠉⣌⣦⠶⡶⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⠉⠈⠀⠀⡀⣤⣶⣴⣠⠀⠀⠀⠂⠓⠟⠿⡙⢏⠙⠉⠀⠀⠀⠁⠉⠄⣠⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣦⢶⠶⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣤⣤⢦⠴⠤⠤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣤⣠⣤⣀⠀⠀⠀

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠻⠟⢛⣛⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣉⡄⠀⣀⡀⠨⣙⣏⣉⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⣿⢿⣿⣿⣿⡿⣟⣿⣯⣿⣷⣿⢾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣒⡛⢫⠤⣠⢤⣤⣤⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣻⣯⣿⢿⣿⢯⣿⣯⣿⣿⣻⣞⡷⣿⣽⣻⡽ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢮⣭⣉⡓⠺⠊⢉⠓⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣻⢿⡿⣯⢿⣷⢯⡷⣯⣟⠷⣯⡗⡿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣩⣿⣿⢿⣷⣄⡙⢮⠭⡁⢠⣬⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣯⢿⣽⡿⣾⣻⣽⣳⣞⣟⡧⣟⡽ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⡴⠹⢿⣿⣀⣿⣿⣯⣍⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⡿⣯⣿⡽⣟⡾⣵⢫⣾⡱⢯⡜ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢀⣞⣰⣀⣾⡷⠘⣿⣿⣟⣩⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⢷⣟⣿⢯⡷⣏⡟⣶⡹⢇⡞ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣰⢯⣾⣿⣿⡿⠁⠀⠀⠼⢿⣿⠥⢤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣟⡾⣟⣯⢿⡼⣹⢶⡹⢣⠞ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣴⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠘⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⡽⣯⣟⢾⡱⣏⠵⣋⠎ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢬⡙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣽⣳⢯⣏⡗⣎⠳⡌⠆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⢻⡗⣮⡝⣬⢳⠉⡎ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⣯⢷⣫⢗⡭⢎⢧⡙ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣶⡆⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⣀⢛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣯⣟⣧⡟⡼⣉⢆⠣ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠹⣿⢿⡟⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡂⠭⢊⠻⡹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣻⣞⡽⣲⢍⡎⢇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢻⠆⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢡⠒⠐⢀⠀⠠⠐⡆⢯⡹⡹⢛⡯⢭⡹⣿⣿⣿⣿⣿⣿⣿⡿⣾⢯⣷⣻⣜⡳⢎⡜⠦ ⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠻⢷⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⡄⠠⢎⢦⡹⢄⡄⣌⣩⣝⠾⣡⢃⠡⠃⡘⢧⠿⣽⣻⣿⣿⣿⣿⣿⣽⣿⣟⣷⣻⡼⣝⢮⡙⡖ ⣿⣿⣿⣿⣿⣿⣿⠃⣾⣷⣄⣀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢉⣩⣁⣳⣶⣦⣤⣤⣈⣥⢛⡞⣶⣿⣜⣫⢝⣶⣫⢞⣡⣀⣒⣀⡴⣨⡽⣎⣿⣿⣿⣿⣿⣿⣿⣿⢾⣯⢷⣻⡜⣮⢱⢣ ⣿⣿⣿⣿⣿⣿⣿⡇⣿⢻⠇⠛⢧⠀⠀⠁⠀⠀⠀⠾⠛⣉⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣯⣿⢾⣯⢷⣻⣼⢣⢧ ⣿⣿⣿⣿⣿⣿⣿⣿⡌⣿⠀⣶⣿⠃⠀⠂⠀⠀⢰⣶⡾⠟⠫⣈⢿⡿⠟⣨⣿⣿⣿⢿⡆⠀⠈⣿⣿⣿⣿⣿⡟⢹⣯⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⢯⣿⢯⡿⣟⡾⣏⣞ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⠸⡀⢿⡃⠀⠀⠁⠀⠀⠀⠀⠀⠀⣀⣉⣛⠶⣿⣿⣿⣿⠟⣿⠃⠀⢠⣿⣿⡏⢿⣯⣭⠷⣭⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣿⣿⣯⣟⣯⡿⣽⣻⢞⡵ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠱⡈⠹⡄⠀⡁⠀⠀⠀⠀⠀⠈⠙⠋⣙⣹⣿⣿⡿⠋⠀⠀⠀⠀⢺⣿⣿⣿⣆⢻⣿⣻⣶⣷⣿⣿⣿⡿⣟⣿⣿⣿⣿⣿⣿⣿⣟⣾⢯⡿⣽⡷⣯⢿⣹ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢲⡾⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠜⡹⠟⠉⠀⣀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣞⡽⢿⣿⡿⢿⡟⢶⣡⣿⣿⣿⣿⣿⣿⣿⣳⣯⢿⣯⣟⣷⣻⣽⡳⣏ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⡀⣀⡆⡇⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⢀⣠⣾⣿⠀⠀⠀⠀⢠⣿⣿⣿⣿⡏⠱⠂⠄⣙⢣⣟⣮⣿⣿⣿⣿⣿⣿⣿⣟⣷⣻⣟⡾⣽⣞⡷⣯⡽⣳ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠏⠀⠀⠀⠀⢈⣿⣿⣿⣿⣍⠣⡉⠴⣌⢷⣾⣻⣿⣿⣿⣿⣿⣿⡿⣞⣯⢷⣯⡟⣷⣫⡽⢶⡻⣵ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⡑⢺⡿⢏⢀⣠⣀⠀⣦⣀⢻⣿⣿⣿⣿⣣⣝⡳⣎⣿⣽⣿⣿⣿⣿⣿⣿⣟⣿⡽⣯⣟⢶⡻⣵⢣⡟⣯⢳⢧ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⢰⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⢢⣏⣷⢿⣭⣻⢷⣿⣿⣿⣿⣽⣾⣳⣟⣷⣫⢯⡷⣭⢳⡝⣮⢛⡼ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⣞⡿⣎⡶⣿⣿⣿⣿⣿⣿⣞⡷⣟⣾⡳⣏⡷⣹⢎⡷⣙⢦⣋⠖ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣽⢳⢏⣾⣿⣿⣿⡍⣉⣛⣻⡿⢿⣾⣽⣝⣳⣝⢮⠳⣍⠶⣉⠞ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣧⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⠿⠾⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣞⢿⣺⣿⣿⣿⣿⣿⡉⢿⣿⡙⠲⣤⣈⡙⠻⠮⣽⣙⡌⢣⠱⣊ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⣆⠠⡀⠀⠀⠀⠀⠘⠉⠁⠀⠀⢀⣠⣶⣿⢿⡛⣴⣿⣻⢻⡽⣷⢯⣞⣿⣿⣷⣿⣿⣿⣿⣿⣿⣡⡄⠀⢢⠉⠱⣄⠀⠉⠈⠐⠃⠄ ⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢀⠹⣄⠙⣄⡀⠀⠀⠜⢢⠳⣾⣿⣿⣿⣿⣿⣷⣯⡷⢭⡷⣯⢿⣯⣿⢾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠉⠢⠈⢦⡀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⢱⡙⢧⡈⠻⣦⣄⠘⠀⠠⠀⠈⠁⠀⠀⠀⠀⠀⢌⢧⡻⡽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⡄⠀⠀⠃⠈⣷⡀⠀⠀⠀ ⣿⣿⣧⣿⣿⣧⣿⠟⠀⠀⠀⣠⠀⠀⢀⣠⠀⠀⢿⠛⠻⢤⡘⠻⣤⡀⠀⠀⠀⠀⢀⣀⣠⣤⡼⣼⢧⣿⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⡄⠀⠀⢀⠸⡇⠀⠀⠀ ⣿⣷⡿⣿⣽⠟⠁⠀⣠⡏⢰⡇⠀⠀⢸⣿⠀⠀⠘⣧⠤⠄⠙⢶⣌⠛⢶⣤⣶⣶⣿⣾⣿⣯⣟⣯⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣳⢯⣿⡄⠘⠤⢂⠙⢦⡀⠀ ⣟⡾⣽⠟⠁⠀⠀⢠⡿⠀⣾⡇⠀⠀⠹⢿⣀⣤⡀⠙⢆⡰⣳⣦⣈⡛⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⣿⣿⣿⣿⣿⣿⣷⢫⣞⢿⡃⠄⢂⠀⢣⢳⡀ ⣯⡟⠃⠀⡰⠀⠀⣿⠃⢸⣿⡇⢀⠀⡀⠀⠈⠻⢿⣷⣮⠵⣹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣷⣿⣿⣟⡿⣷⣿⠿⣝⡷⣎⠲⣅⠀⠀⠈⠀⠡⢓ ⠋⠀⣀⠔⠁⠀⢀⡇⠀⣾⣿⡄⠈⣆⠘⡀⠀⠀⠀⠹⢿⣿⣿⣟⣯⣙⣌⣙⡻⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⣿⢯⣟⣿⣿⡿⣿⡽⣾⣽⣻⣿⡹⣌⢳⣍⡒⠈⠄⠀⠀⠀⠀⠈ ⠀⠀⠀⠠⣆⠀⢸⠀⢠⠿⣿⡇⠀⢸⣧⠑⢦⠀⠁⠀⠀⢈⠛⢿⣿⣽⣶⣯⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣿⣻⣞⡷⣿⢯⣟⣷⢳⣿⣯⡕⢎⠲⡡⠌⠐⠠⡀⠀⢀⠀⠀ ⠀⠀⠀⠀⠈⢆⡇⠠⠊⠀⣿⡇⠀⠀⣿⡷⣄⠳⣤⠀⢠⠀⠀⠀⠘⠻⠿⣿⢿⡿⠟⢉⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣟⣾⢿⣽⡻⢾⡭⣟⣿⡗⢮⡡⠂⠑⣂⠀⡲⢱⠀⠄⡁⠀ ⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⣿⣷⠀⠀⢸⡷⠜⢧⡈⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡾⡽⢧⠿⣜⣿⡟⢢⠑⡤⠘⢤⠣⢌⢣⠘⠠⠀⠂ ⣾⣦⡀⠀⠀⠀⠀⢙⣦⠀⣿⣿⠀⠀⠀⠀⠆⠐⠛⣦⣄⠠⣄⠀⠰⠀⠀⠀⠀⠀⡐⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢯⡿⣷⣿⣻⠯⣷⣎⡿⡍⢦⡙⠴⡁⠎⣇⠫⢄⠊⢀⠁⠀ ⠀⠀⠉⠲⣭⣯⣿⣾⣿⣷⣽⣿⡀⠀⠀⠀⠁⠀⣨⡇⠸⣷⣄⠁⠄⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⣟⢿⣿⣿⣿⣿⣿⣿⡣⢿⡱⢎⡝⠻⠶⣾⡽⣙⠦⡙⠤⠃⢘⠀⢳⡈⡐⠀⠀⠀ ⠀⠀⠀⠀⡿⢿⣿⣿⣿⣿⣿⣿⣇⢠⠐⡁⢰⣿⠿⡷⠀⠹⡙⣶⣄⡀⠀⢠⡄⢀⣾⡿⣟⢣⠟⡼⢫⣿⢿⣿⣿⣿⡿⣿⣷⣏⠂⢜⡱⣌⡄⢣⣝⠂⡉⠒⡁⠀⠀⠂⠐⠈⠀⠠⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠉⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠉⠉⠙⢲⠋⠁⠀⠘⡷⡄⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⡴⠒⠢⡄⠀⠀ ⠀⠀⠀⠀⣠⠋⠁⠀⠙⢾⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠁⠀⠀⠀⠀⡰⠃⠀⠀⠀⠱⡜⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⣀⡞⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠘⠈⠀⠀⠀⡎⠀⠀ ⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⣠⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣠⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢠⠏⠀⠀⠀⠈⢣⠀⢀⠖⠉⠀⠈⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⡤⠒⣄⠀⠀⠀⠀⠈⠳⢄⠀⠀⣠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠲⠤⣄⡀⣀⡔⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣷⠃⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⢠⠖⠒⢼⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡅⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⡼⠀⠀⠀⠀⡾⠋⠉⠛⠳⣄⣴⠃⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⢀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⢀⡇ ⠀⠀⠀⠀⠀⠀⠀⡞⠉⠙⢾⠇⠀⣿⡄⠀⠀⠀⠀⠀⠀⠈⠳⣀⠔⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⣧⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣄⠀⠀⠀⢀⡴⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⡠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠮⣲⠾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠓⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⣶⣦⡐⠂⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⢦⠀⠀⠀ ⠀⠀⠀⡞⢿⣿⣷⣤⣀⠀⠑⢤⡀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠛⠉⠁⠀⠘⡆⠀⠀ ⠀⠀⢀⠃⡀⠈⠚⠽⣻⡷⢦⣤⣽⣆⠀⣀⠀⣀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠱⡀⠀ ⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⣿⠹⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀ ⢠⡎⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣾⣿⣠⣸⣿⣿⣿⡿⠆⠀⠀⠀⠀⠀⠀⣠⠗ ⠈⠛⠶⢶⢶⠶⠝⠛⠲⠞⠛⣩⣽⠟⠛⠛⡿⣿⢾⣿⣭⠶⠖⣀⣀⡲⢶⠛⠁⠀ ⠀⠀⠀⠘⡌⠁⠀⠀⢀⢴⣿⣿⣿⣿⠀⠀⠘⣿⣷⣿⡦⡀⠀⠀⠰⠀⢘⡀⠀⠀ ⠀⠀⠀⢀⠃⢀⣀⣔⢕⣿⣿⣿⡿⣟⠀⠀⠀⢹⣿⡋⢿⢾⡵⠖⠤⠔⠾⠃⠀⠀ ⠀⠀⠀⠈⠛⠛⠉⠀⢾⡿⣿⡿⠁⣿⠀⠀⠀⢸⡿⠁⠈⠈⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⢸⡆⠀⠀⠀⢸⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡠⢤⠀⠀⣷⠀⠀⠀⠀⢸⡇⠀⢀⠴⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⣀⠀⣿⠀⠀⠀⠀⢸⣇⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣄⠀⠀⠀⠈⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀ ⡈⠀⢀⣴⣦⢶⣴⣴⣦⢶⣴⢦⣶⡴⣦⡶⣴⣦⢶⣴⣤⡀⠀⠠⡀ ⠀⠀⣿⣟⣾⠗⢀⢸⣾⢿⣽⣻⣾⠻⠝⠛⢉⡈⠛⠻⢾⣿⠀⠀⠀ ⠀⠀⣿⣾⠷⠞⣹⡿⣯⢿⡞⠋⣡⣴⣾⢿⣟⡿⣟⣷⣄⠹⠀⠀⠀ ⠀⠀⣿⣯⣤⣼⡿⣽⡛⢁⣴⣿⣻⣽⡾⣯⡿⣽⣟⣷⣻⡆⠀⠀⠀ ⠀⠀⣿⣽⣻⢯⡟⠃⣴⣿⣻⢾⣽⣳⡿⣽⣻⣽⡾⣯⣷⢿⠀⠀⠀ ⠀⠀⣿⣳⡿⠏⣠⣿⣟⣷⣻⣯⣟⣷⣿⣻⣽⣷⣻⢷⣯⣿⠀⠀⠀ ⠀⠀⣿⣽⠃⣴⣿⣳⢿⣞⡿⣿⠆⠀⠀⢠⣿⣞⣯⣿⣳⡏⠀⠀⠀ ⠀⠀⣿⠃⣼⣻⢾⣽⣯⣿⠟⠁⠀⣠⣄⣸⣿⢾⣽⣞⣯⠅⠀⠀⠀ ⠀⠀⡇⣸⣷⣻⣯⣷⣻⣿⡀⣠⠞⠹⣿⣿⢯⣿⣞⣯⠏⢸⠀⠀⠀ ⠀⠀⢁⣿⣽⣯⢿⣽⡟⢿⠗⠉⠀⢠⣿⣽⢾⣯⣟⡿⢀⣾⠀⠀⠀ ⠀⠀⢸⣟⣾⡽⣯⣿⠀⠀⠀⣠⣶⣿⣻⢾⣟⣾⡽⢀⣾⣻⠀⠀⠀ ⠀⠀⣿⣟⡷⣿⣻⣿⣤⣤⣤⣬⣿⣷⣻⣯⢿⠞⢠⣾⢯⣿⠀⠀⠀ ⠀⠀⣿⣽⣻⢷⣟⣿⣻⣟⣿⣻⣟⡾⣷⡻⠋⣰⣿⢯⣿⣽⠀⠀⠀ ⠀⠀⢻⣷⣻⢿⣾⣳⡿⣾⡽⣷⣻⡽⠛⣠⣾⢿⡽⠿⢾⣽⠀⠀⠀ ⠀⠐⡌⢳⣿⣻⡾⣽⣻⢷⣟⠏⢃⣤⣾⢿⡽⡟⣁⣤⣾⣿⠀⠀⠀ ⠀⠀⣿⢦⣈⣑⠛⠛⣋⣁⣤⡾⣿⡽⣾⣻⡏⠛⣡⣾⣟⣾⠀⠀⠀ ⠃⠀⠙⢿⣯⣟⣿⣻⣯⣿⣽⣻⣷⣟⣯⣷⣷⣶⣿⣳⡯⠋⠀⠀⠀
⣼⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⡆ ⢻⡈⠻⣦⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⡤⠖⠋⣸⠇ ⡿⠳⣤⣀⡀⠀⠀⠉⠉⠉⠳⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠉⠀⠀⠀⠀⠀⢀⣠⠶⢻⡆ ⠻⣦⣀⠀⠀⠀⡴⠶⢦⡀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⡴⠚⠳⡄⠈⢉⣀⣠⡾⠁ ⠀⠸⣍⣉⣁⡀⣇⠀⠀⠑⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠓⠀⢀⡇⢤⣈⣭⠿⠁⠀ ⠀⠀⠀⠙⠷⠤⠿⠶⠦⠶⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠦⠴⠖⠻⠶⠶⠛⠁⠀⠀⠀
⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⣽⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⢰⣶⣶⣶⡆⠀⠀⠀⢰⣶⣶⣶⡆⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⢸⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⡇⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠈⠉⠉⠉⠁⣶⣶⣶⠈⠉⠉⠉⠁⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⣼⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⢹⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⢸⠇⠀⠀⣸⠿⣏⣉⣉⣉⣹⡿⣇⡀⠀⢸⣛⡀⠀⠀⠀ ⠀⠀⠀⠈⢩⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢩⠍⠉⠉⠁⡇⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⡁⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⣦⣀⢀⠀ ⠀⠀⠀⢀⣼⠇⣤⣀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⣠⡴⢫⠇ ⣤⣖⠚⠉⠀⠀⠈⠉⢛⡲⢦⣤⣀⠀⠀⣸⠀⢀⡴⣾⠁⠀⢸⠀ ⣯⠉⠛⠶⣤⣀⡠⠾⠛⠁⠀⠀⠉⠛⢓⣩⠾⠋⠀⣿⠀⠀⢸⠀ ⣿⠀⠀⠀⠀⢯⠙⠳⢦⣤⣀⠀⢠⡴⠛⢱⣂⠀⠀⣿⠀⠀⢛⡄ ⡿⠀⠀⠀⠀⢸⠀⠀⠀⠀⠉⣛⠉⠀⠀⢸⣿⣿⣷⣶⢀⣴⠟⠀ ⣿⣶⣤⡀⠀⢸⠀⠀⠀⠀⠀⣿⠀⠀⠀⢿⡛⠿⣿⣿⠟⠁⠀⠀ ⠹⣿⣿⣿⣷⣮⣄⡀⠀⠀⠀⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠻⢿⣿⣿⣿⣷⣦⣄⡻⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⣾⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⣀⣤⣤⣶⣾⣿⣿⣿⡷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀ ⣿⣿⣿⡇⠀⡾⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⣧⡀⠁⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⢹⠉⠙⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⣀⣼⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⠿⠋⢃⠈⠢⡁⠒⠄⡀⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠟⠁⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡎⠀⢸⣿⣿⣿⣿⣿⣿⣦⡀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣄⠈⣿⣿⣿⣿⠃⣿⣿⣷⠀⣸⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣷⣿⣿⠟⠁⠀⠘⢿⣿⣶⣿⡿⢻⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⠙⠛⠟⠛⠋⠁⠀⠀⠀⠀⠀⢈⣉⣁⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠂⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⣿⡟⠛⢻⣿⠛⠛⣿⡟⠛⢻⣿⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣤⣼⣿⣤⣤⣿⣧⣤⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠛⢻⣿⠛⠛⣿⡟⠛⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣶⣾⣿⣶⣶⣿⡇⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢛⠟⢣⡱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣊⡩⠿⠃⠂⠀⠹⠿⣉⢒⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣎⢳⡀⠀⠘⠀⠀⢠⢞⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⢱⠀⠀⠀⢠⢃⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⡆⠀⠀⣼⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⢫⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠇⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⢦⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⡾⠻⢏⡓⠢⠤⢤⣀⣀⣀⣀⣀⣸⣇⠄⡀⠀⢸⣿⣀⣀⣀⣀⣀⣠⠤⠴⣺⡽⠟⠻⣮⣧⡀⠀⠀ ⢀⣤⠞⡿⠟⠁⠉⠀⠉⠀⠀⠒⠂⠀⠀⠀⠛⠛⠛⠁⣇⠀⠘⠓⠒⠒⠒⠒⠒⠚⠋⠉⠀⠀⠀⠠⣝⠻⣉⢳⡄ ⠸⢿⡿⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠛⠛⣁⠀⠀⠀⠀⠀⠀⠄⣀⣀⠀⠀⠀⠀⢀⡴⢿⡿⠃ ⠀⠀⠉⠲⡿⢧⣀⣠⡔⣂⠤⠤⠀⠐⠒⠒⠒⢲⣾⠁⠂⠀⣿⣶⠒⠒⠒⠒⠒⠒⠒⠪⢍⣳⣤⣠⢿⡖⠋⠀⠀ ⠀⠀⠀⠀⢳⣨⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠀⠀⠀⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠃⠀⠀⠇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⡄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡆⠀⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡀⠁⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⡇⡇⠀⢠⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣶⠁⡇⠀⠘⡌⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠋⠘⠁⠀⠀⠘⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣏⣱⣭⡝⢷⠀⢀⡤⣾⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⣌⣦⡴⢿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣻⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠤⠤⠋⢁⠰⢼⡤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⠁⠀⠀⠀⣵⠋⠳⡜⡆⠀⠉⠓⠲⠤⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠳⣒⢄⣀⠻⢻⣟⣵⢻⡿⣿⣦⣄⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⣖⠭⣑⠠⠰⢬⠜⠀⠈⠻⢷⣶⣤⡀⠀⠀⠈⠻⣟⣶⣄⠀⠀⠀ ⠀⠀⠀⠀⠘⢦⡀⠉⠀⠀⠈⠁⠀⠀⠀⠈⠙⠻⢷⣆⡀⠀⠈⢯⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣦⣀⠀⠀⠀⠀⠐⢄⠀⠀⠁⠢⡈⠻⣦⢀⡀⢱⣀⣀⡀ ⠀⠀⠀⢀⣠⣼⣝⣿⣿⣷⣄⡘⢄⠀⠀⠢⡀⠀⠀⡰⠊⢀⡤⠞⠉⠀⠈⢳ ⠸⠿⠟⣛⡿⣿⠾⡿⣟⠿⢿⣻⢳⠃⠀⠀⢸⠀⣸⠁⠀⡌⠀⠀⠀⢀⠄⡞ ⠀⠀⠯⠵⠉⠀⣀⠸⡿⢧⢤⣀⠏⠀⠀⠀⡎⠉⢧⠀⠀⠀⠀⢀⡰⠃⡼⠃ ⠀⠀⠀⠀⠀⠘⢭⡭⢍⣉⠂⠉⠀⠀⣠⡾⠃⢀⣈⡢⠤⠄⢒⠁⢠⡞⠁⠀ ⠀⠀⠀⠀⠀⠀⠯⠬⠐⠒⠒⠒⠒⠒⠋⠀⠀⣹⣶⡿⢛⠔⣁⡴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢼⠍⣓⢵⠞⡡⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠚⠉⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣯⣿⣿⣦⠀⠀ ⠀⠀⠀⢀⣾⣷⣿⣿⣿⣿⡇⢿⣿⣿⣇⠀ ⠀⠀⠀⣾⣿⣿⣿⣿⡿⠟⣤⣥⠹⡝⡟⠀ ⠀⠀⠀⢿⣿⣾⣯⡻⣶⠀⠈⠛⢀⠞⠀⠀ ⠀⠀⠀⣄⣹⣿⣿⣧⣀⣠⠖⠒⠽⡀⠀⠀ ⠀⠀⠀⠛⠿⣟⣿⣿⡿⠁⠀⡀⠀⢣⠀⠀ ⠀⠀⠀⠀⣿⡿⣿⡝⠁⢀⠔⠁⠀⡜⠀⠀ ⠀⠀⠀⠀⠙⢻⠏⢠⠖⠁⠀⠀⡰⠁⠀⠀ ⠀⣠⠤⠴⢤⠃⣰⡇⠀⠀⠀⢸⠁⠀⠀⠀ ⢰⠁⠀⢠⠇⡜⠀⣳⠆⠀⠀⠀⠑⢄⠀⠀ ⠀⢣⠽⠚⠈⠉⠉⠀⠀⠀⠀⠀⠀⢈⢧⠀ ⡰⠁⠀⢀⣀⣀⡀⠀⠀⠀⢀⡀⠀⢸⡜⠀ ⢳⡀⠉⣿⣿⣿⣿⣷⣶⣤⣾⣿⣿⣧⣦⡄ ⠀⠉⠒⠻⠿⠿⠿⠛⠛⠛⠉⠉⠉⠙⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠚⠁⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠛⠀⢀⠀⠀⠀⠀⠀⢨⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⡒⠒⠛⣆⠀⠀⢤⡴⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡼⢉⠏⡹⠙⢧⡀⠈⠣⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠉⠉⡍⠒⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡧⢋⡴⠁⠀⠀⠑⠦⢄⣽⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠷⣤⠀⠀⣴⡇⠀⠀⣣⠀⠀⠀⠀⠀⠀⠀⠀⡼⢛⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⢰⣿⡄⠚⣿⠿⠃⣶⣇⣀⡤⢶⣶⠖⢻⢶⣾⣁⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣾⡟⠛⣷⡄⠀⠀⣿⣿⠗⢒⡏⣹⠀⠘⢄⡙⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⣾⣶⣾⣿⣿⣿⡇⣸⠀⢹⡀⠀⠀⠈⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣿⣿⡿⣛⣿⣧⠿⡇⠀⠸⡧⠤⢤⡤⠞⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⣠⡟⠿⠛⠛⠉⠁⢰⠁⠀⢠⠇⠀⠀⣸⡄⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣧⠤⣌⣁⠉⠐⠒⠒⣋⣠⢦⡾⠶⣿⣾⣻⠇⠀⠈⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⡇⠀⠉⠢⣄⣀⣧⡄⠀⠀⠀⠙⢿⡿⠒⠒⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡶⢤⣠⠞⡇⠀⠈⠳⣤⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣏⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠷⢤⣿⠀⢧⣀⣀⠀⠈⢻⠛⡦⣄⣀⠀⣀⣀⢤⡞⣏⢀⣸⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣾⠃⠀⡞⠀⢸⡭⣵⣾⣇⠹⡀⠀⠁⠀⠀⠀⠉⠉⠉⢣⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠙⠒⠒⠣⣀⣸⡓⠒⠘⣻⣹⠇⠀⠀⠀⠀⠀⠀⠀⣶⣚⣩⠭⠭⠭⢷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⡠⠿⣄⠀⠀⠀⢀⣾⣉⠉⠛⠒⠦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⠴⠋⣠⠞⠉⠓⠒⠊⠉⠁⠀⠉⠉⢳⠂⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠈⠉⠙⠒⢯⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⠞⠒⠛⢤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⠉⠉⠛⠀⠀⠀⣀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠿⢄⣀⠀⠀⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣅⠀⠀⠀⠀⠀⠈⠙⢦⠀ ⠀⠀⠀⠀⠀⠙⠦⠤⠤⠤⠔⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⣸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⠤⠖⠚⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠐⠖⠒⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣷⣤⡀⠀⠀⠀⠀⢠⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣶⣄⠀⠀⣼⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⠷⠶⠒⠂ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡤⠶⠿⠛⠛⠋⠉⠉⠁⣰⣿⣿⠟⠉⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠋⠀⠀⠀⠹⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⡤⠖⠒⠒⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠒⠒⠲⢤⡀⠀ ⢀⡟⢠⡖⠋⠙⢳⣤⠽⠖⠛⠉⠉⠉⠉⠉⠉⠙⠓⠾⣤⡖⠋⠙⠲⡄⠹⡄ ⢸⡀⣿⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⣹⠀⡇ ⠈⢧⣘⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣏⡴⠃ ⠀⠀⡽⠁⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢹⡀⠀ ⠀⠀⡇⠀⠀⠀⠠⣯⣽⡇⠀⣠⠴⠚⠓⠲⣄⠀⢰⣯⣽⡇⠀⠀⠀⠀⡇⠀ ⠀⠀⡇⠀⠀⣀⣀⣉⠋⢁⡞⠁⠀⣤⣤⠀⠈⠳⡄⠉⣋⣁⣀⠀⠀⠀⡇⠀ ⠀⠀⣇⠀⠘⠻⠿⠟⠃⢸⠀⠦⣄⡼⢯⣄⡤⠆⣷⠘⠻⠿⠟⠃⠀⢰⠇⠀ ⠀⠀⠹⣄⠀⠀⠀⠀⠀⠈⠳⣤⣀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⣠⠟⠀⠀ ⠀⠀⠀⠈⠳⣤⣀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⠤⠤⣤⣤⡤⠤⠤⠶⠒⠋⠉⠀⠀⠀⠀⠀⠀
⢠⣶⣿⣿⣿⣶⡄⠀⣶⣶⣶⡆⢰⣶⣶⣶⡆⠀⣶⣶⣶⣶⠀⢰⣶⣶⣶⣶⣶⡄ ⣿⣿⣿⠉⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⣿⣧⢸⣿⣿⣿⣿⠀⢸⣿⣿⡏⢻⣿⣿ ⢿⣿⣿⣦⣉⠉⠁⠀⣿⣿⣿⡇⢸⣿⣿⢻⣿⢸⣿⢻⣿⣿⠀⢸⣿⣿⡇⢸⣿⣿ ⠈⠻⢿⣿⣿⣷⣄⠀⣿⣿⣿⡇⢸⣿⣿⢸⣿⣿⣿⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⡟ ⣤⣤⣤⠙⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⢸⣿⣿⣿⢸⣿⣿⠀⢸⣿⣿⡏⠉⠁⠀ ⢿⣿⣿⣀⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⠀⣿⣿⡇⢸⣿⣿⠀⢸⣿⣿⡇⠀⠀⠀ ⠘⠿⢿⣿⣿⠿⠋⠀⠿⠿⠿⠇⠸⠿⠿⠀⠹⠿⠇⠸⠿⠿⠀⠸⠿⠿⠇⠀⠀⠀
⣠⣤⣤⡤⠤⢤⣤⣀⡀⠀⠐⠒⡄⠀⡠⠒⠀⠀⢀⣀⣤⠤⠤⣤⣤⣤⡄ ⠈⠻⣿⡤⠤⡏⠀⠉⠙⠲⣄⠀⢰⢠⠃⢀⡤⠞⠋⠉⠈⢹⠤⢼⣿⠏⠀ ⠀⠀⠘⣿⡅⠓⢒⡤⠤⠀⡈⠱⣄⣼⡴⠋⡀⠀⠤⢤⡒⠓⢬⣿⠃⠀⠀ ⠀⠀⠀⠹⣿⣯⣐⢷⣀⣀⢤⡥⢾⣿⠷⢥⠤⣀⣀⣞⣢⣽⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠈⢙⣿⠝⠀⢁⠔⡨⡺⡿⡕⢔⠀⡈⠐⠹⣟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢼⣟⢦⢶⢅⠜⢰⠃⠀⢹⡌⢢⣸⠦⠴⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣇⡬⡌⢀⡟⠀⠀⠀⢷⠀⣧⢧⣵⣿⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⠛⠋⠉⠀⠀⠀⠀⠈⠉⠙⢻⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⠀⠀⠀⠀⠀⠀
⣿⣏⡝⡿⠋⠉⢡⣿⣿⣿⢻⣿⢫⢿⣿⣿⣿⡟⢷⡄⡄⣿⣗⠀⢸⡈⣾⣟⠄⠀⣿⢦⠀⢳⣻⠀⡛⡏⣿⡘⡄⠘⡆⠘⣿⡄⠘⣿⠉⠓⣶⡤⠶⣶⠒⠛⢳⣌⢷⢦⡀⠙⣆⠘⢿ ⣿⣿⡿⢁⡐⣰⣯⣿⣿⠏⣿⠃⡹⣽⣿⣿⣿⡇⢸⠀⠀⣿⣿⡀⠈⣷⡈⢿⣦⠀⣿⠈⢷⠀⣿⢸⠃⢸⡘⣧⡹⡄⢇⠀⣧⢳⠀⢹⣇⠀⠀⠹⣷⣌⠳⣄⠈⠻⣞⡆⠑⢦⠈⠳⣄ ⣿⠟⢀⠟⣵⠛⣾⣟⣿⣼⠡⢎⣾⣿⣿⣿⣿⠇⣾⡇⡜⣿⡿⣧⠀⠘⣷⡀⠉⡀⢸⠀⠈⣇⣿⡎⠀⢸⣧⢻⣷⡿⣸⠀⢸⡜⡆⠈⣿⣆⠀⠀⢙⢟⢷⡘⠆⠀⢚⣿⠀⠀⠱⣤⡈ ⣁⣴⠏⣼⡇⣼⣿⣿⡟⡁⢠⣾⣿⣿⣿⣿⣿⢠⣿⢰⣧⣿⡇⢹⡄⠀⢹⣷⣄⠙⢈⡆⠀⠸⡇⠁⠀⠀⣿⣦⣘⣿⣿⠀⢸⠹⣄⠀⢹⠸⣦⡀⠀⠻⣎⠻⣆⠄⠈⡽⣣⡀⠀⠙⢧ ⣿⡏⢠⡿⠀⣿⣿⣿⣼⠀⣾⣿⣿⣿⣿⣿⣿⢸⣯⢸⠁⣿⣿⠀⣷⡀⠀⢻⣿⣧⠈⣇⠀⢸⣷⡆⠀⠀⣿⢸⡟⣌⢿⣦⠀⠀⢻⣆⠀⠀⢻⣷⡀⠀⠈⢧⣨⣃⠀⠘⠏⣿⡄⠀⠈ ⣿⢡⠟⠀⣰⣿⢿⣿⣿⢸⡇⣿⡟⣽⣿⣿⡇⢸⣿⢸⣦⡘⣿⡄⣸⣷⠀⠘⡞⣿⣧⡘⣆⠈⢸⣵⡀⠀⣿⢸⢣⢻⢂⠻⣷⡀⠀⢻⡄⠀⠀⣿⢻⣄⠀⠀⢳⣣⠙⠢⣼⡸⡽⡆⠀ ⣿⡟⠀⣰⣿⣿⢺⣿⣿⢸⡆⣯⣾⣿⣿⣿⣇⢸⣿⢸⣿⣷⣿⣿⡁⣿⡇⠀⢹⣶⢹⣷⡙⡆⠀⣏⡇⢀⣿⣶⣸⣬⡿⠷⠙⣿⡄⠈⢿⡀⠀⢹⡀⣿⢧⡀⠀⠹⡧⣀⠸⠉⡗⠾⡄ ⡟⠀⣰⣿⣿⣿⢸⣿⣿⢸⢰⠧⣿⣿⣿⣿⣿⠘⣿⣸⣿⣉⡙⢻⣧⢹⣿⣄⠀⢻⣷⡘⣿⡽⡄⢸⢸⢸⣿⣿⡿⡟⣟⠉⣉⣻⣿⣦⡈⣇⢠⠈⡇⢹⡜⣿⣄⠀⠹⣄⠙⠦⣅⡀⢧ ⠀⣴⣿⡋⢿⡏⣼⣻⣿⣿⠈⣼⣿⣿⣿⣿⣿⡇⣿⡟⡛⠛⣿⣿⢛⣷⢿⣿⣆⠈⢿⣿⡟⣿⣅⢸⡜⡼⣿⢿⣷⣟⢛⣿⣿⣿⡛⣛⣿⡜⠀⡆⠃⠘⣧⢸⣇⠓⢄⠘⣆⠐⣄⠹⠀ ⣾⡿⢻⡇⢸⢃⢷⣿⣿⣿⣴⣿⢿⣿⣿⣿⣿⣧⢹⣧⢫⣿⢛⣛⣸⣾⣿⣻⣿⣷⣌⢻⣷⠘⣿⣆⣇⢷⡟⡀⠉⣿⠻⠌⠉⠉⠉⢻⣿⣷⠀⣿⠀⠀⢹⡄⢿⠀⢸⡅⠪⠑⣜⣧⠀ ⣿⠁⢸⣿⠚⠈⣼⣿⣿⣿⣿⣿⣧⣿⣿⡏⣿⣿⡞⣿⣞⣿⣿⠿⠿⠿⢿⣷⣿⣿⣝⣳⣿⠀⠙⣿⡿⠸⠁⠠⣶⣷⡀⠀⠀⠀⠀⠀⣿⣿⠀⣸⠀⠀⠈⣇⢸⠀⠸⡇⠀⠀⠘⣟⡆ ⣿⠆⣿⣿⠀⢀⣿⣿⡿⣻⣿⡿⣿⡸⣿⣧⡟⣿⣿⣹⣿⠀⠀⠀⠀⣤⣿⣟⠛⠻⣭⣭⣿⠀⠀⠀⠀⠀⠀⠀⠘⣿⣏⣷⣤⡀⠀⠀⢸⣿⠀⣿⠀⢰⡀⢸⣼⠀⢸⣷⠀⠀⠀⠸⣱ ⣿⠀⡿⣿⠀⣼⣿⣿⡇⣿⣿⢿⣿⣧⠹⣿⣿⡹⣿⣷⣻⣧⡀⣤⣼⣿⣿⡧⢬⣟⡛⢲⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠓⠀⠀⠀⠀⠀⣸⣿⢠⣿⡀⠘⣇⠀⢹⠀⢸⡼⠀⠀⠈⠂⢿ ⣿⠀⣿⡇⣸⡟⣿⣿⣷⣿⡿⣿⣻⡟⣧⢹⣿⣇⢹⣿⣿⣿⣿⣾⢿⣿⣿⣿⣗⠤⠙⢶⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⢿⣧⠀⣿⡀⠸⡄⠀⣷⡇⠀⠀⢰⢸ ⠟⠀⠸⣿⡏⣷⣿⣿⣿⣿⣿⣿⣿⣷⣿⠀⣻⣿⡆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⡡⣄⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢸⠋⠘⣿⡀⣿⣇⠀⣇⢰⠜⣧⠀⠠⠸⠀ ⡀⣇⠀⢹⡇⣿⣿⡏⣿⣿⣿⣿⣿⣿⢹⡇⠙⢿⣿⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡆⠀⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠃⠀⠀⣻⣷⣿⣿⡆⢸⡆⣧⡟⠀⠀⢠⢠ ⡇⣿⡀⠀⣇⣿⣿⣱⣿⣿⣿⣿⣿⣿⣾⣿⠀⠈⠻⣧⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⢋⡿⣿⠸⣇⢹⡇⠀⠀⢸⠀ ⣿⡁⠇⠀⢸⣿⣷⣿⣿⣿⣿⣼⣿⣿⣿⣿⣇⡀⠀⠈⠻⣾⣿⣿⣿⣿⣿⣿⣿⡯⢿⣾⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣤⣾⣿⣿⢸⠂⢹⢸⠀⠀⠀⠘⡇ ⣿⣷⣷⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⡀⠀⠙⢻⣿⣿⣿⣿⡟⣕⣵⣿⣿⠷⠶⠦⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⢹⣿⣾⢰⢸⢸⡇⠘⡄⠀⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡕⣤⣄⠀⠈⣿⣿⣿⣿⣿⣿⣿⢿⡟⠀⠀⠀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⡇⡟⢰⣿⣿⢸⡌⡿⣿⣴⣿⣶⣾ ⣍⣭⣛⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠤⣾⣿⣿⣿⣿⣿⣾⣾⣿⣷⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠇⣿⡇⢸⣿⡏⣿⣷⣱⣿⣿⣿⣿⣷ ⣬⣾⣛⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣯⣿⢸⡿⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⢔⢛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠈⠙⠉⠀⠀⠀⠀⠀⠀⣠⠏⢰⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⢹⣟ ⠀⡈⣑⣤⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢾⡟⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⣿ ⣿⢽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣄⣀⠀⠀⠀⢀⡴⠋⢀⣼⣤⣴⣼⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⣿ ⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢇⣤⠞⠋⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣝⢿⣿⣿⣿⣿⣿⣿⣿⣶⣿⡿⠋⠁⠀⠀⠀⢾⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠈⣛⣿⣿⣿⣿⡿⢋⣄⡄⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⣿⣿⣿⣿⣿⢂⣀⣐⣲⣾⣿⣿⣿⣿⢿⣿⠟⠋⠀⠀⠀⠀⠀⠀⣠⡔⢻⠎⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⡃⢙⣿⣿⣿⣿⣿⣿⣿⣿⣮⣻⣿⣿⣿⣿⣧⢒⣾⣿⣿⣿⡿⠃⠈⠁⠀⠀⠀⠀⠀⣠⣶⠛⠓⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡃⢿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⡀⠀⠀⠀⠀⢠⣾⡿⢛⠈⣡⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣮⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⡊⠻⣿⣿⣿⣿⣿⣿⣎⢿⣿⣿⣿⣿⣿⣿⠋⡟⠁⠀⠀⢀⣶⣿⡿⣉⣠⡶⠃⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⡾ ⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣦⢿⣿⣿⣿⣿⠇⠀⠀⠀⣰⣿⣿⣿⣿⡾⠛⠁⠀⠀⠀⢀⣀⠀⠈⢀⡀⠀⢀⠜⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⣸⣿⣿⣿⣆⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⢻⣶⣿⡟⠀⢻⣿⣾⡇⠀⠀⣰⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⣸⣿⡟⠀⠀⠀⢻⣿⣇⢀⣼⠏⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠰⣤⣀⠀⠀⠹⣷⣿⡟⠀⠀⠀⠀⠀⢻⣿⣿⠏⠀⢀⣴⡾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣷⣦⣤⣿⣿⣥⣶⣶⣿⣿⣿⣿⣿⣿⣦⣾⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠠⢤⣀⣀⠀⠈⢻⣿⣿⡿⠟⣋⣩⣭⣭⣍⣉⠉⢿⣿⣟⣁⣠⣤⡶⠞⠋⠀⠀ ⠀⠀⠀⠈⠉⠛⢿⣿⣿⢋⠔⢉⣁⣤⣤⣦⣬⣭⣻⠞⢿⣿⣿⠋⠁⠀⠀⠀⠀⠀ ⢀⣀⣀⣤⣤⣤⣾⣿⠃⣠⣶⣿⡟⠉⣻⣿⠈⣿⢿⣷⣌⢿⣿⣿⠿⠿⠒⠒⠒⠀ ⠀⠀⠀⠀⠀⣼⣿⠇⠴⣿⣏⠘⢿⣤⣍⣡⡼⠋⣠⣾⠟⠈⢿⣿⣦⣀⡀⠀⠀⠀ ⠀⢀⣠⣴⣾⣿⡏⠀⠀⠈⠛⠷⣦⣭⣭⣥⣶⠿⠋⠁⠀⠀⠈⢿⣿⣿⠛⠷⠶⠤ ⠘⠉⠁⣼⣿⡟⠀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣬⣿⣿⣆⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⢿⣿⡿⢿⣿⡿⠿⣿⣿⠛⠛⠿⣿⡟⠂⠀⠀ ⠀⠀⣰⠿⠋⠀⠀⣼⠟⠀⢰⣿⠃⠈⣿⠇⠀⢻⣧⠀⠈⢻⣆⠀⠀⠈⠙⠦⠀⠀ ⠀⠘⠁⠀⠀⠀⣸⠏⠀⠀⢸⡏⠀⠀⣿⠀⠀⠀⢿⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠸⠁⠀⠀⡿⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠶⡾⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⢳⣷⠀⠀⢠⡴⠲⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠹⡆⢠⡏⠀⢰⡾⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⢷⣼⠀⠀⢈⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⠀⠀⠘⣯⠀⠀⣸⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠸⡄⠀⢸⡤⠶⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⢷⠀⠘⡇⠀⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠄⠀⠀⠀⠰⡇⢀⡇⢀⡇ ⠀⠀⠀⠀⠀⠀⣀⣤⠴⠚⠋⠉⠉⠉⠉⠛⠛⠛⠲⣷⠀⠀⠀⠀⠀⢷⠀⡇⡼⠀ ⠀⠀⣠⠾⡟⢿⡗⠈⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠈⠉⢳⡄⠀⠀⠀⢸⢸⢁⡇⠀ ⠀⠀⣏⡠⠇⠀⠹⡤⠤⠴⠞⠶⢤⣤⣠⣤⠂⠀⠀⠀⠀⠹⣆⠀⠀⠘⡏⣼⠀⠀ ⠀⣰⣃⡀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⠀⠀⠀⠘⢷⡀⠀⢻⡇⠀⠀ ⢰⠏⠀⠀⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⣀⠀⠀⠀⠀⠙⣦⠀⢧⠀⠀ ⠸⡆⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⢠⠟⢄⠀⠀⠀⠀⠀⠀⠈⠳⡘⡇⠀ ⠀⢻⡄⠀⠀⠀⠀⠀⠀⠻⣄⣀⣠⣤⡤⠤⢿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢁⣻⠀ ⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⠤⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢎⡏⠀ ⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀ ⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀ ⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀ ⠀⠀⠀⠀⠈⣏⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢔⣒⠂⣀⣂⣤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⢠⣟⣼⣷⠼⣞⣽⢏⣿⣆⠱⣄ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⣆⠛⠢⠐⡍⡉⣾⣾⣽⣟⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⢿⣿⣦⠀⠤⢶⣿⠿⢋⣴⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣺⡙⢻⣿⣿⣧⣽⣉⣁⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⣷⡔⡉⣩⢋⡋⠩⠯⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⣘⣶⣁⢙⢐⣄⡴⠪⠓⠁⠉⠃ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⣿⣿⣿⠻⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠫⣿⠉⠻⣇⠘⠓⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠇⣿⠂⠁⠀⠀⠀⠀⠀⠀ ⠀⢶⣾⣿⣿⣿⣿⣿⣶⣄⠀⢐⢝⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⠈⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠻⢿⣿⣿⠿⢛⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠢⢀⠈⠑⢶⠉⠉⢩⠁⠀⡄⠑⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠐⠢⢀⠡⡐⡘⡀⠈⠸⣤⣾⡿⠲⠈⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢆⠀⢀⡒⠤⣑⡑⣰⢡⡄⡣⢺⠛⡁⢀⡴⠒⠠⢄⠀⠀ ⠀⠀⠀⠀⡀⠀⢀⠔⢉⠀⠤⠭⢐⡻⡟⣋⡽⢱⢷⠬⢐⠭⢐⣂⡀⠀⠉⢆ ⠀⢀⠞⣁⠀⢬⠃⠀⢀⠄⠒⠀⣈⠘⢧⣿⣴⣃⣘⡾⠦⠭⠤⠄⣀⠀⠀⢸ ⠼⠆⣅⢠⢀⣸⡀⠀⠁⠠⠂⠁⡠⠂⢡⢪⠛⠚⡝⠫⠑⠈⠑⢄⣀⣀⠴⠋ ⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠈⠀⠀⢃⠃⠀⡇⠘⡀⠡⠀⠐⠄⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⡠⠤⠤⡴⢾⡀⠀⠀⠀⠇⠀⠃⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠈⡝⠢⡀⠙⠂⢤⢀⡀⠀⠀⠀⡸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡜⢁⡀⡜⢄⠀⠄⠀⠀⡌⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠱⠤⠰⠀⡀⢢⠈⠤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⢀⠜⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣦⣤⣄⠀⠀⠀⠀⠀⢀⣀⣴⣾⣿⣿⣿⠇⠀⠀⠀⠀⢀⡠⠤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⡆⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣀⠔⠊⠁⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⢀⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣡⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠉⠁⣀⡠⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠊⠉⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⡏⠀⠙⢻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠴⠚⠉⠀⠀⣀⡀⠀⣀⡀⢠⣶⣶⣿⣷⣆⠈⣿⣿⣿⣿⣿⣿⡇⢀⣀⣀⠙⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⠴⠒⠉⠁⠀⣶⣄⣀⣀⣤⣍⣿⣾⣿⣿⣿⣿⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢿⣿⣆⠀⠀⠀⠀⠀⠀⢀⡠⠤⠶⠦⢤⡀⠀ ⠀⠀⠀⢀⠠⠒⠋⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠘⣿⣿⡄⠀⠀⠀⣠⠖⠁⠀⠀⠀⠀⠀⠉⢆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠥⠤⠤⢬⣿⣿⣶⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⣀⠜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠋⠉⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣠⣾⣿⣿⣻⠝⠉⠉⠐⠒⠒⠒⠒⠒⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡇⠀⠀⠀⠈⠷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡿⠁⠀⠀⠀⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠛⠁⠉⢻⡿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⡿⠋⠀⠀⠀⣠⣶⣶⣶⣿⣿⣿⣿⠟⠋⠁⠙⢿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⢿⠃⠀⣿⣿⢿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣴⣿⣿⣿⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡌⠀⠀⠀⠀⠀⠈⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣼⣿⣿⣿⡟⠀⠀⠀⠀⠀⣠⣴⡿⠛⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠛⠋⠙⠿⠿⠟⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠁⠀⠀⢀⣠⡾⠟⠁⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠃⠀⢀⣴⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡿⠛⠀⠀⠰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⡿⠿⠿⠛⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠉⠀⡀⠄⡒⠈⠭⠭⠥⠈⠐⣚⣛⠛⠛⠛⡲⢦⣀⠀⠀⠀ ⠀⠀⠀⣰⠃⠀⠔⡨⡢⠑⠈⠉⠁⠉⠄⠀⠀⠀⡲⠀⠀⠐⢄⠀⠈⢷⠀⠀ ⠠⣤⣿⣛⡛⠛⣻⢿⣛⣟⡻⣿⣿⣿⣿⣿⣿⣿⣟⣿⣛⢿⣿⣿⣿⡟⢦⡀ ⡴⠛⢡⡶⠒⡖⠦⢭⣿⣮⣱⣎⣿⣿⡿⠏⠀⠙⡿⠷⠿⣾⢿⣿⢭⡞⡐⣷ ⡇⠀⢺⠠⢾⡟⠲⢤⣀⡀⠠⠤⠄⡖⢂⣀⠀⠀⠙⣦⣄⠉⠉⢰⡄⠠⢃⣿ ⠹⣎⡪⠀⠀⢷⡦⣄⣯⡉⠓⠲⣤⣵⣉⣀⡀⠶⠞⠁⣀⣨⣴⢿⣷⠈⣰⠃ ⠀⠈⢳⡀⠀⠀⠻⣌⡟⠛⠷⣶⣧⣄⣀⣹⣏⣉⣻⣉⣉⣧⣸⣷⣿⠀⣿⠀ ⠀⠀⠀⠳⣄⠀⠀⠈⠳⢤⡀⣸⠉⠉⠛⡿⠻⠿⡿⠿⣿⢿⡿⣿⡟⠀⣿⠀ ⠀⠀⠀⠀⠈⠳⣅⡪⢔⡠⢉⡛⠲⠦⠤⠧⣤⣤⣧⡴⠧⠾⠖⠛⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣅⡒⠡⠶⠀⣠⡤⠤⠤⠤⠤⠤⠐⢁⠠⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣤⣄⣀⡀⠀⠉⠉⠉⠉⠀⢀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠒⠒⠒⠚⠉⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣴⣛⡲⣦⣄⠀⠐⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⢶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢼⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣽⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡴⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢿⣿⣿⣿⢻⣷⣜⠙⢷⡹⣿⣿⣿⣿⢿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢱⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣎⣿⡿⣿⣧⢨⢿⣷⡀⠹⣿⣿⣾⣿⣯⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⢳⣿⡿⣽⣿⣻⣿⣿⣯⣾⠋⣿⣿⣿⣷⡙⣾⣧⠙⣿⣆⢷⡹⣷⣄⢹⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⡇⣾⡝⣰⣿⠧⣿⣿⣿⣾⡟⠀⢸⡟⣿⣿⣷⣝⣿⣆⣽⣿⣾⣷⣝⣿⣎⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⢹⡟⢠⣿⡟⣤⣿⣿⣿⣿⣇⠀⠀⢻⠈⢿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠳⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⡇⣾⡇⣿⣿⣿⣿⣿⣿⡏⢹⣿⠀⠀⠀⢳⠈⢿⡝⣿⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠤⠖⢒⡋⠓⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⢰⣿⣿⣿⣿⢸⣿⠁⢸⠍⡆⠀⠀⠈⠁⠚⣇⣸⣷⡀⢻⣷⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡤⠶⠄⠘⡆⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⢸⣿⣿⣼⣿⣿⣿⣿⣸⣯⣄⣸⡇⠀⠀⠀⠀⣠⣾⢟⣫⣿⣀⣀⣿⣀⠿⣿⣿⣿⣿⣿⣿⣿⠟⢻⣿⠃⠀⠀⢠⣼⠃⠀⣟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣿⣿⣿⣿⣿⣿⣇⣠⣷⣭⣻⣷⡄⠀⠀⠀⠉⠰⣿⡾⠛⡏⢩⣝⠛⣿⣾⣿⣿⣿⣿⣿⣯⠇⠈⢻⡇⠀⣶⢸⡟⠀⠀⠹⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⢿⣿⣿⣿⣿⣿⠟⢠⠛⢼⣿⠻⢿⡄⠀⠀⠀⠀⠋⠀⠀⢧⣘⣏⣠⡿⠃⠙⡿⠘⣿⡟⣿⡄⣸⢺⣏⣰⣿⡿⠁⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢿⣿⢿⣿⣿⣇⠈⠢⣤⣀⣴⠛⢹⡄⠀⠀⠀⠀⠀⠐⠚⠛⠉⠉⠀⠀⠀⠀⠀⣿⢁⣼⡿⢩⣾⣿⣿⡿⠁⠀⠀⠀⢠⣿⠓⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣾⡿⣿⡈⠉⠒⠚⠁⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⣀⣴⣿⣿⣿⡟⠀⠀⠀⠀⢠⣿⠏⢀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⡛⣿⠇⠀⠀⠀⠀⠀⢺⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡟⢿⣿⣿⠏⠀⠀⠀⢀⣴⡿⠃⣰⠃⠀⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣩⢾⡇⠀⠀⠀⠀⠀⠀⠉⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⠟⠙⠇⣤⡿⠃⠀⠀⠀⣰⠾⠋⠀⣰⠏⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⢁⠀⣽⣶⠀⠀⠀⠀⠀⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⠀⠠⣾⠟⠀⠀⠀⠀⠊⠁⠀⢀⣼⠋⢀⡄⢰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠁⢸⠀⢿⠈⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠊⠁⠀⠀⠀⢀⡼⠃⠀⠀⣀⡄⠁⠀⣀⡴⠛⠁⣠⠞⢁⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠁⠀⠀⣧⡋⣠⣿⣿⡿⣶⣄⠀⠀⠀⢀⣀⣠⠴⠖⠛⠉⠀⠀⠀⣀⣤⣴⣦⠟⢀⣠⡴⠟⠋⠀⠀⠀⣀⡴⠖⠛⠻⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡀⠀⠀⠘⢷⣿⣻⣿⡄⠙⠛⠛⠒⠊⠉⠁⠀⠀⠀⠀⠀⠀⢠⣾⢋⣥⡾⠗⠚⠉⠉⠀⠀⠀⠀⣠⡾⠉⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣄⠀⠀⠈⠻⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠄⢐⣫⡷⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣦⡀⢀⡀⠘⠻⣿⣿⣿⣶⣤⠄⠀⣐⣀⡤⠴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠁⠀⢀⣠⠄⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡏⠓⢾⣷⣦⣀⠈⠙⢿⣽⡿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⠋⠀⠀⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠃⠀⠀⠀⢻⣌⣿⢞⡟⠉⠀⠀⠀⠀⠀⠠⣀⣀⣀⣀⣀⣀⣤⣤⣔⠒⠛⠋⠈⠁⠀⣠⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀ ⠀⠀⢀⡞⠀⠀⠀⠀⣠⠆⢻⡇⢠⠖⢿⣿⣛⠉⠛⠋⠉⢙⡛⠛⠯⣭⣍⠉⠉⠻⡏⠀⠀⢀⢀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀ ⠀⠀⢸⠁⠀⢀⣤⡾⠋⠀⢸⡇⠘⣆⣸⠏⠻⣟⠲⢤⡀⠘⢿⣶⣄⠀⠈⠉⠃⠀⣉⣉⠛⢿⣿⣿⣿⣿⣦⠀⠀⠀⢀⣠⠶⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀ ⠀⠀⢸⠀⠴⠛⠛⠀⣠⡴⣿⣧⠀⠘⣿⣧⣀⠈⢷⡀⠀⠸⣷⣿⣿⣿⣦⡘⢦⣄⠀⠙⢿⣶⣽⣿⣿⣿⡇⠀⣠⡞⠉⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠈⢇⠀ ⠀⠀⠼⠶⠶⠶⠶⠿⠿⠶⠿⠿⠆⠘⠛⠿⠨⠷⠶⠶⠶⠶⠼⠿⠿⠿⠿⠿⠿⠿⠷⠶⠦⠿⠿⠿⠿⠿⠿⠾⠿⠶⠶⠶⠶⠶⠶⠶⠶⠶⠾⠷⠶⠤⠾⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠿⢷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠒⠶⣶⡟⠁⠀⠀⣠⣿⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡏⠀⢀⣴⣾⠟⠛⠲⣾⣁⠀⠈⡇ ⠀⠀⣀⣀⣀⣀⣠⣴⠾⠛⢹⣇⠀⠘⠷⣿⠀⠀⠀⣽⡼⠃⢠⡇ ⢠⣾⠛⠉⠉⠉⠉⠁⠀⠀⠈⠻⣦⣤⡴⠟⠳⠶⠚⠿⢶⡶⠟⠀ ⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣧⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣦⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⠀ ⠀⠀⠸⣧⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⡴⠒⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣻⣤⠴⠀⠀⠈⠻⠟⠀⠀⠀⠀⢉⣩⡀⠀⠀⠀⣠⣴⡆ ⠀⠴⠟⠉⠻⣦⡴⠀⢀⡀⠀⠀⠀⢀⣴⠋⠉⢿⣤⡶⢿⡏⠉⠁ ⠀⠀⠀⠀⠞⠋⠻⣶⣿⣤⣤⣤⡶⣿⡇⠀⠀⠀⢻⣦⡾⠁⣾⠃ ⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⢸⡏⠀⠘⣧⣀⣀⣠⡟⠁⠀⠀⠈⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢧⣤⣤⣾⣿⠏⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠄⠒⠀⠝⠉⠉⠉⡁⠒⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠖⢱⡇⡇⠀⡞⠀⠐⡄⠀⡰⡡⠀⠀⣈⣢⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢇⠠⣈⢇⠱⡀⢇⠀⠇⠀⡐⠐⠁⠔⠉⠀⢀⢡⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠘⡢⠊⠉⠁⠘⠚⠀⠒⠀⠉⠁⠀⠉⠐⡀⠱⣸⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⢧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⢦⠘⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠐⠉⢑⡲⢦⠤⠠⠀⠠⣶⣚⠓⠦⠀⣿⣌⠣⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⣶⠀⠚⠓⠟⠊⠀⠀⠹⠘⠛⢚⠑⠂⠀⠘⡢⡲⢷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣷⣼⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢑⠉⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢡⢻⠀⠀⠀⡐⠅⢄⡀⠤⠕⢄⠀⠀⠀⠀⠀⠀⠕⡱⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢺⠀⠀⣸⣾⣿⣿⣿⣿⣷⣷⣅⠀⠀⠀⠀⢰⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡀⣼⡿⠛⠉⠉⠋⠉⠛⠿⠿⠦⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡔⢏⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠊⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠁⠀⠑⢤⡉⠀⠒⠒⠒⠒⠂⠏⠀⠀⣠⠞⠙⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠤⠚⡅⠀⠀⠀⠀⠈⠲⢄⠀⢀⠀⠈⠀⡠⠞⠁⠀⠀⠀⠑⡦⣄⡀⠀ ⠤⠒⠉⠀⠀⠀⠈⣦⡀⠀⠀⡤⢄⡀⠉⠪⣄⠤⠊⠀⡠⠊⠣⠀⢀⡔⠁⠀⠈⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⡤⡤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠈⠉⠿⣦⣤⠶⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⢋⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀⠙⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠉⠓⠦⣤⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⡄⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀ ⠀⠀⣠⠞⠁⠀⠀⣀⣠⣏⡀⠂⢠⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⡃⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆ ⢀⡞⠁⠀⣠⠶⠛⠉⠉⠉⠙⢦⡸⣿⡿⠀⠀⠀⡄⢀⣀⣀⡶⠀⠀⠀⢀⡄⣀⠀⣢⠟⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃ ⡞⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⢳⢀⣠⠀⠀⠀⠉⠉⠀⠀⣀⠀⠀⠀⢀⣠⡴⠞⠁⠀⠀⠈⠓⠦⣄⣀⠀⠀⠀⠀⣀⣤⠞⠁⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠁⠀⢀⣀⣀⡴⠋⢻⡉⠙⠾⡟⢿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠉⠉⠀⠀⠀⠀ ⠘⣦⡀⠀⠀⠀⠀⠀⠀⣀⣤⠞⢉⣹⣯⣍⣿⠉⠟⠀⠀⣸⠳⣄⡀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠒⠒⠒⠒⠚⠋⠁⠀⡴⠋⢀⡀⢠⡇⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⢀⡾⠋⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠉⠋⠻⣄⠀⠀⠀⠀⠀⣀⣠⣴⠞⠋⠳⠶⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠦⢤⠤⠶⠋⠙⠳⣆⣀⣈⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠛⠛⠿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠨⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⢐⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠿⢿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠀⠀⠀⠹⣿⠀⠀⠀⠀⠀⠀⢸⣿⣷⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠈⣿⠛⠉⠉⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⣿⡿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⠿⣿⠇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠘⣿⠛⠲⢦⣤⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⠟⠁⠀⣿⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠹⣧⡀⠀⠀⠀ ⢀⣼⠟⠅⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠸⠟⠁⠀⠀⠀⠀⠀⠑⠿⠃⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠹⣧⠀⠀⠀ ⣾⠏⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⢽⣧⠀⠀ ⣿⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⣿⣆⠀ ⣿⣆⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀ ⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠈⢻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠇ ⠀⠀⠀⠙⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀ ⠀⠀⠀⠀⠀⠙⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠈⠹⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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