Disappointed Dot Art

Copy & Paste Disappointed Dot Art Emojis & Symbols

⠀⠀⠀⠀⠀⠀⣠⡼⠟⠋⠉⠉⠁⠀⠀⠀⠀⠀⠉⠉⠙⠻⢤⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀⠀ ⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀ ⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀ ⣾⠃⠀⠀⠀⢸⠿⠿⠿⠿⠿⠿⠿⠿⠀⠀⠾⠿⠿⠿⠿⠿⠿⠿⠷⠀⠀⠀⠈⢟ ⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠰ ⡇⠀⠀⠀⢠⣤⣤⣤⣀⣀⣀⣀⣤⣤⣄⣠⣤⣤⣄⣀⣀⣀⣀⣤⣼⡆⠀⠀⠀⠀ ⡇⠀⠀⠀⠘⡆⠀⠈⠿⢿⡿⠋⠀⢀⡎⢹⡄⠀⠘⠿⣿⠿⠃⠀⢸⠇⠀⠀⠀⠀ ⣇⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⡠⠊⠀⠀⠑⢄⡀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀ ⣷⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⢈ ⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸ ⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⣄⣄⣠⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁ ⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⣀⠎⠀⠀ ⠀⠀⠀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠜⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠙⠻⠖⣄⣄⣀⡀⠀⠀⠀⠀⠀⣀⢠⣠⣶⢟⡛⡃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣽⢿⣟⣿⣻⣟⣿⣻⣟⣧⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣾⢿⣽⣞⣯⣿⢾⣯⡷⣟⣷⣯⢿⣽⣾⣳⣿⣳⣦⡀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⣻⢾⣯⡷⣿⣽⢾⣟⣾⣽⣟⡷⣯⣿⣳⣯⣷⣟⡷⣯⡿⣦⡀⠀⠀ ⠀⢠⣾⣟⣾⣻⣯⡷⣿⣻⢾⡿⣽⣾⣳⣟⣿⣽⢾⣯⡷⣟⣾⢿⣽⣻⣽⢷⡄⠀ ⢠⣿⣳⡿⣽⣳⣯⢿⡷⣟⣯⣿⣻⢾⣽⣻⢾⡽⣟⣾⣽⢿⡽⣯⡿⣽⣾⣻⡽⡄ ⣟⡷⣯⢿⣽⣳⢯⡿⣽⢯⡷⣯⣟⢿⡾⣽⣯⢿⣽⣳⢯⡿⣽⣳⣟⡷⣯⢷⣻⢷ ⣻⣿⠿⠿⠶⣿⢿⣷⣯⣿⣼⣷⣾⣯⣾⣷⣿⢻⣯⣏⣟⣞⣳⣽⣎⣟⣾⣹⣭⣏ ⣳⢻⢷⣄⣀⠀⠀⠀⠙⠀⠀⠀⠀⣨⣾⢏⡷⡻⢽⣯⡉⠉⠉⠉⠉⠙⠟⢉⣽⠿ ⣧⢛⠮⣝⢻⡻⢷⣶⣶⣶⣶⢾⣿⢿⠟⣮⠱⣏⢧⡛⢿⣿⣶⣶⣶⡶⣿⡟⣫⢽ ⢧⣋⠞⡌⢧⡙⢦⡙⢶⢓⡫⠝⡬⢣⠛⣔⠫⡜⢦⡙⡎⢼⣉⠮⢭⡙⡭⢱⢃⢾ ⠘⣦⠙⡘⢆⡙⢢⡙⢢⠣⠜⡱⢌⠣⡙⢤⠓⡜⢢⠱⣌⠣⢜⡘⠦⠱⢌⠣⢚⠃ ⠀⠘⢧⡉⢆⡘⠤⡈⢅⢊⠱⡐⢌⠱⡈⢆⠱⡈⢅⠒⡄⢃⠆⡘⠰⣉⠢⣩⠋⠀ ⠀⠀⠈⠣⡂⠜⡠⠑⡌⢢⠑⡌⢢⠑⡌⢢⠑⡌⢢⠑⡌⢢⠘⡄⠣⢄⠗⠁⠀⠀ ⠀⠀⠀⠀⠈⠺⢄⢣⠘⡄⢃⠜⡠⢃⠜⡠⢃⣼⣤⡾⠶⠷⢞⣠⠗⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⡒⠼⢄⣊⣔⠡⢊⠔⡉⣥⣦⡐⠧⢖⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⣴⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⣿⠟⠉⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠆⠀⠀⠀⠀⠀⢰⣷⠀⢸⣧⡀⠀⠀⠀⠀⠀⠻⢿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠙⠻⣿⣧⡀⠀⠀⠀ ⠀⠀⣠⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⢼⠟⠀⠀⠻⠇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⠗⠀⠀⠀⠀⠀⠀⠙⢿⣿⣄⠀⠀ ⠀⣰⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣆⠀ ⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡄ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡆⠀⠀⣾⡿⠀⠀⣾⣷⠀⠸⣿⡆⠀⢸⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡿⠃⠀⠸⣿⡇⠀⣰⣿⣿⡀⣠⣿⡇⠀⠘⠿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⠿⠛⠿⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟ ⠘⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃ ⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡏⠀ ⠀⠀⠙⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⠀ ⠀⠀⠀⠈⠻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠛⠁⠀⠀⠀⠀⠀
⠀⠀⢀⡶⠇⠀⠀⠀⣀⡄⠀⠀⠀⡄⣤⠀⠀⠀⢤⣄⡀⠀⠀⠰⢦⡀⠀⠀ ⠀⣰⡟⠁⠀⠀⠀⠛⠉⠀⠀⠀⠈⠁⠈⠁⠀⠀⠀⠈⠉⠁⠀⠀⠈⢻⣆⠀ ⢠⡿⠀⠀⠀⠀⠀⢀⣴⣦⠀⢠⡄⢠⡄⢠⠀⣴⣶⡄⠀⠀⠀⠀⠀⠀⢻⡄ ⢸⣇⠀⠀⠀⠀⠀⠀⠛⠛⠀⠸⣧⡾⢧⠾⠁⠘⠛⠁⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀ ⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀ ⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
AI Story Generator
completely free, NO signup required (ever), and unlimited!

Related Text & Emojis

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠈⢛⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠃⠠⢿⣥⠀⢩⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠙⠛⠀⠀ ⠀⣠⡾⠃⠀⠀⠀⣀⣀⣀⠀⣀⠀⢀⠀⢀⠀⣠⣤⡄⠀⠘⢷⡄⠀⠀ ⣰⠟⠀⠀⠀⠀⠀⠉⠉⠉⠐⣧⣴⠿⣤⡼⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀ ⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃ ⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀ ⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀
⠀⠀⠀⠀⣠⣾⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣆⠀⠀⠀ ⠀⢠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣧⠀⠀ ⢀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⠀ ⣸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⡄⠀⠀⢀⣴⣦⠀⠀⠀⠀⣠⡀⠀⠀⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠀⠀⣾⣿⠁⢀⣶⡆⠀⣻⣿⠀⠀⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠛⠿⠛⠁⠀⠀⠹⣿⣶⣿⠿⣿⣶⣿⠏⠀⠀⠀⠉⠉⡁⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⢹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⢀⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⢈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇ ⠈⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀ ⠀⠘⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⢰⣶⡀⠀⠀⠀⠀⣰⣿⡟⠁⠀ ⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⣾⡟⠁⣠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣄⣠⣿⠇⠀⠀⣠⣾⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣿⡆⠀⠀⠙⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠁⠀⣶⣿⡿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡿⠿⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠛⠛⠿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠛⠁⠀⠀⢠⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡇⠀⠀⠈⠻⣿⣷⡄⠀⠀⠀⠀⢀⣀⣀⡀⠀ ⠀⢀⣤⣤⣄⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣆⠀⠀⠀⠘⠋⠙⠻⡆ ⠀⠈⣉⣉⡉⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣇⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⠀⠀⣶⠿⢿⣦⠀ ⠀⠾⠛⠙⠻⠀⠀⢰⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣷⣶⣶⣶⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⠉⠀ ⠀⠀⢀⣀⡀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⢀⣴⣶⣶⣦⡀ ⠀⣴⡿⠟⢿⣦⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠈⠉⠁⠈⣿⡇ ⠸⣿⡅⠀⠀⠁⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⣀⣴⡿⠃ ⠀⣹⣿⣶⣤⠀⠀⠀⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠛⢻⣷⠀ ⠀⣿⣯⣈⣁⡀⠀⠀⠈⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠏⠀⠀⢰⣶⣾⠟⠀ ⠀⠈⢻⣿⣟⣁⣤⡄⠀⠈⠻⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠃⠀⢀⣀⣀⣽⣿⠀⠀ ⠀⠀⠈⠛⠿⠟⠛⠁⠀⠀⠀⠈⠛⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⠿⠋⠀⠀⠀⠘⠛⠟⠛⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣤⣤⣄⠀⠀⠀⢀⣴⣿⠋⠀⠀⣠⣄⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣽⣿⠟⠀⠀⢰⣿⣟⣁⠀⠀⠀⠙⠛⣿⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣥⣄⠀⠀⠈⠛⠛⠿⠟⠀⠀⣠⣾⣟⣁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⡷⠀⢠⣿⡟⠀⢀⣴⣶⠀⠀⠰⣿⡄⠘⠿⠿⠿⠿⠿⠃⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀ ⠀⢀⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⣠⣾⣿⣿⣦⣠⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⡀⠀ ⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠀⠈⠙⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀ ⢀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⠀⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠀ ⠀⠈⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠃⠀ ⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠴⠶⠶⠶⠶⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣤⣤⣤⣤⣤⠴⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠟⠀⠀⠶⠀⠀⠀⠀⠀⠸⠂⠀⠻⣦⠀⠀⣠⣄⡀ ⢀⣯⡃⠀⣼⠃⠀⠀⠀⠀⢰⣄⠀⣀⡷⠀⠀⠀⠀⠘⣧⠀⠖⠦⠁ ⠀⣀⡀⢰⡇⠀⠀⠀⠀⠀⠀⠉⠙⠉⠀⠀⠀⠀⠀⠀⢸⡇⡤⣤⡀ ⢸⡁⠙⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⣼⠃ ⢸⣟⡃⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⢤⡿⠀ ⠀⠻⠷⠖⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠋⠀⠰⠾⠃⠀
⠀⠀⢀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀ ⠀⢠⡿⠁⠀⠀⠀⠠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀ ⢠⡟⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⣀⠀⠀⡀⠀⣤⣤⡀⠀⠀⠀⠀⠈⣷⡀ ⢸⡇⠀⠀⠀⠀⠀⠀⠻⠿⠃⠸⣧⣴⣦⡿⠀⠛⠟⠁⡀⠀⠀⠀⠀⢹⡇ ⠘⣧⠀⠀⠀⠀⠀⠰⣧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠹⣤⠇⠀⠀⠀⢀⣿⠁ ⠀⠘⢷⣄⠀⠀⣴⢂⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣀⡦⠀⣠⡾⠃⠀ ⠀⠀⠀⠙⠃⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠚⠋⠀⠀⠀
*⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀ ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡁⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠉⠉⠀⠀⠉⠉⢦ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁⠀*
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡦⠿⠛⢚⣂⠀⠉⠐⠛⠳⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⣿⣿⠅⠀⣀⠀⠻⠟⠃⠒⠒⠦⣤⡀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣽⠿⡉⠁⠠⣴⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣲⡆⢀⣬⡻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢾⣿⣏⣤⣿⣷⣾⣿⣿⠛⠚⣆⡀⣤⣤⡰⡟⢉⢹⣿⣿⡇⢸⣾⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠛⡿⣷⣿⣿⣿⣿⠉⣿⢻⣿⣿⢉⣿⡏⣿⡏⡇⠹⡟⡟⣟⠻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢻⣿⣿⣿⡿⣸⡿⣼⣿⣿⣾⣿⢧⣿⣿⣇⡤⣿⣷⣸⡄⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⣿⣿⣇⡟⠇⢈⡏⠿⢿⡇⠘⠿⢹⣇⣸⠏⠸⠇⠧⣼⣿⣿⣿⣿⣿⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡆⠾⢿⡿⣿⢿⠂⠀⠀⠀⠀⠟⡷⣶⡾⢿⡷⣿⣿⣿⣿⣿⣿⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⡘⡄⠘⠦⠭⠌⠀⠀⠀⠀⠀⠀⠳⣈⣁⡜⢀⣿⣿⡏⣿⣿⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢷⣽⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢼⠟⢿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣭⣙⠛⠛⠒⠶⢤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢹⡿⢟⣉⣉⡀⠈⠙⠳⣦⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⢠⣤⣄⡀⠀⡯⣿⣷⣦⣄⠀⠙⠀⠘⠋⠀⠀⢀⡠⡾⠋⢿⣿⣿⡽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣯⣐⣈⡟⠙⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠘⠿⣭⣍⣉⡛⠛⠛⠛⠷⢿⣿⣿⣏⣉⣙⣶⣦⣀⡠⠴⠊⠉⠀⠿⣄⣤⣿⡿⢿⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠓⠶⠿⣤⣀⣀⡀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠈⢹⡇⠀⠀⠀⠀⠀⠹⡀⠀⢠⣿⠋⠁⠀⣇⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⡀⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠹⣄⣿⠃⠢⠤⡀⠙⠀⣀⡤⢤⣾⣁⡆⢀⣀⡀⠀⠀⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠙⢷⣄⠀⠀⢰⡞⠳⣶⡠⠤⠤⢤⣄⠀⠀⠙⣾⣷⠶⣖⣒⣀⣘⣂⣒⣾⣓⣒⣒⣒⠢⣬⣕⡉⢿⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⠀⠀⠀⠀⠙⢷⣴⠾⠻⡆⠈⢿⠄⠀⠀⠘⣆⠀⠀⠈⠻⣞⡋⠤⠤⠤⢤⠜⠃⠐⠋⠀⠀⠈⠉⠛⢿⣾⣵⣜⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠈⠁⠀⠀⠙⢺⡀⢻⣆⠀⠀⢈⣦⠀⠀⠀⠙⢟⠻⢯⡍⣸⣤⣄⡀⠀⠀⠀⠀⢀⢀⡼⣟⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⣀⣼⣧⣄⣽⣲⣲⣻⣹⢦⠀⠀⠀⠀⠻⡟⠯⡅⠀⠉⠺⢕⣆⠀⠒⠁⡏⠀⣿⢹⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣀⣀⣤⡶⠟⠋⢹⣿⣿⢻⣿⡏⣿⣻⠀⠳⡀⠀⠀⠀⠙⠎⠑⠒⢺⡀⠀⠱⡵⢶⡊⠁⠀⣟⣿⠘⣟⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠘⢿⣿⡿⠼⠇⠙⣿⠀⣀⠹⡀⠀⠀⠀⠀⠀⠀⢠⡽⣻⣾⣿⣤⣿⣄⠀⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠛⠀⠙⣄⠀⠀⠀⢀⡼⠃⠀⠈⠙⠛⠿⣟⢿⢷⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣽⡀⢀⡀⠈⠳⠤⢖⡉⠀⠀⠀⠀⠀⠀⠀⠈⠿⠾⣏⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣳⡌⣩⠀⠀⠀⠘⠻⠀⠀⠀⠀⠀⠀⢀⡀⠤⠂⠉⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠛⢿⣖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣘⣝⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠉⢾⡦⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢵⡦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⡦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢞⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢫⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠃⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⣣ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣵
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠒⠈⠉⠉⠑⠋⠑⢢⡜⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠚⢒⠒⠒⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠛⠂⠑⢄⣀⣀⣀⠤⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢈⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠭⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡞⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢹⠀⠀⠀⢑⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⠀⠈⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⠀⢑⠌⠀⡠⠐⠀⠂⠀⠀ ⡀⠄⠀⠀⠘⢄⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢭⢠⡄⡘⠀⠎⠀⠀⠀⠀ ⠑⠂⠤⢀⠀⠿⠤⣤⡤⣾⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡝⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢠⢀⡧⠼⠀⠀⠀⡀⠀ ⠀⠉⢳⠆⢱⠀⠀⠀⢠⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡆⠳⠖⣶⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⡴⠉⠀⣀⣐⡁⠀ ⠀⠀⠘⡄⠈⠢⢄⣀⣀⠘⣗⠄⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⠀⠸⡟⣤⣀⠀⢠⡟⠛⠯⡁⢀⠖⠍⠘⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣟⢿⣄⣀⣤⣖⣻⡻⠿⡿⢿⢴⠄⡔⠀⠀⣀⣠⣈⣭⣥⣆⣀⡀⠈⠀⣹⠀⢸⡇⠀⠀⡍⠁⢠⠃⢰⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣄⡌⠉⠛⢻⣗⣛⠿⣶⣤⣀⣀⡿⠖⠀⠀⠉⣁⣹⣋⠙⢛⣛⡷⣎⢹⡠⢫⡇⠀⠀⠣⢸⠋⡁⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⢥⣴⠄⠈⡟⠿⡳⢿⣿⣿⢏⡗⠶⠆⠰⠟⢋⠙⣿⣿⣿⣯⡟⠛⠻⠖⢸⠁⢀⡀⣼⠟⠁⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠒⣄⢷⡀⠙⠢⣽⠓⢼⡷⠄⠦⡤⢤⠈⠛⠛⠛⠛⠹⠁⠀⠠⢰⠟⡀⠈⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣾⠸⢧⠀⠀⠀⠀⣸⠠⠄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⠞⣴⣧⢾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⠔⠡⣎⡾⢫⠗⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠃⡐⣻⠛⢃⣸⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⢠⣄⣀⡀⠀⠀⠀⠀⢀⡔⠁⣰⠶⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠂⠈⠙⠃⠀⠀⠀⠀⢠⢞⣡⣼⠁⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⡄⠀⠀⠀⠀⠀⢀⠴⠷⢚⠃⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⠒⠂⠐⠀⠐⣄⠀⠀⣼⠧⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠧⣼⣷⠀⠀⠀⠀⠀⠈⠀⡘⡜⢿⡮⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⢻⣔⠀⠀⠀⠀⠀⠀⠀⢹⣡⡾⠀⠀⢹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠹⣧⠀⠁⢀⣄⣠⣴⡾⠋⠀⠀⠀⣸⣟⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡺⠿⡏⠀⠀⠀⠀⣠⡾⢻⢇⣶⣞⠽⠛⠁⠀⠀⠀⠀⠀⣿⠣⣻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠋⠁⠀⠘⣿⠀⠀⢀⣼⡟⢳⡸⣞⣼⡇⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠈⠿⠪⣗⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⠉⠁⠀⠀⠀⠀⠀⢹⡆⢀⡾⠟⠀⠀⠉⠻⣿⠇⠀⠀⠀⠀⠀⢀⡾⠏⠀⠀⠀⠀⠀⠀⠁⠻⢶⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⢱⠀⠀⠀⠀⠀⠀⠀⠀⠸⢥⠎⠁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠌⡿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⢀⡤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡽⢿⡿⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⠘⣇⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣫⠞⠠⠂⠑⣥⠢
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠴⠒⠒⠦⢤⡒⠒⠉⡸⠀⠀⠀ ⢰⣈⠙⢋⠟⠀⠀⠀⠀⠀⠀⠱⡄⠀⠹⡀⠀⠀ ⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⢧⠀⠀ ⠀⣧⠀⢸⡀⠿⠀⠀⠀⠀⣀⣀⣏⠀⠀⢸⠀⠀ ⠀⢹⡀⠀⢳⡀⠀⠀⢀⡎⠀⠀⠈⠑⢄⣈⣱⡄ ⠀⢀⡇⢀⡇⠈⢳⠒⣺⣇⠀⢠⠀⠀⠈⢧⠀⠀ ⠀⠈⠒⠁⢧⣀⠼⡎⠁⠈⠉⠚⢤⡀⠀⠀⢣⠀ ⠀⠀⠀⠀⠀⢸⠀⢣⠀⠀⠰⡀⠀⠈⠒⠀⠘⡆ ⠀⠀⠀⠀⠀⠀⢣⠈⢧⠀⠀⠹⡄⠀⠀⢀⡴⠁ ⠀⠀⠀⠀⠀⠀⠈⢧⠈⢣⠀⠀⢸⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡴⢡⣏⡤⠖⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠚⠉⠁⠀⠀⠉⠙⠒⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀ ⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄ ⠀⠀⠀⠀⢸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘ ⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⡄⠀⠀⠀⠀⠀⢀⣶⡆⠀⢠⠇ ⠀⠀⠀⠀⠀⠀⣣⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⠈⠛⠁⡰⠃⠀ ⠀⠀⠀⠀⢠⠞⠋⢳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀ ⠀⠀⠀⣰⠋⠀⠀⠀⢷⠙⠲⢤⣀⡀⠀⠀⠀⠀⠴⠴⣆⠴⠚⠁⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⠀⠀⠀⠘⡇⠀⣀⣀⡉⠙⠒⠒⠒⡎⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠃⠀⠀⢶⠀⠀⠀⢳⠋⠁⠀⠙⢳⡠⠖⠚⠑⠲⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⡎⠀⠀⠀⠘⣆⠀⠀⠈⢧⣀⣠⠔⡺⣧⠀⡴⡖⠦⠟⢣⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⢈⡷⣄⡀⠀⠀⠀⠀⠉⢹⣾⠁⠁⠀⣠⠎⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⡼⠆⠀⠉⢉⡝⠓⠦⠤⢾⠈⠓⠖⠚⢹⠀⠀⠀⠀⠀⠀⠀ ⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⢸⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠳⡀⠀⠀⠀⠀⠀⠀⣀⢾⠀⠀⠀⠀⣾⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠐⠢⠤⠤⠔⠚⠁⠘⣆⠀⠀⢠⠋⢧⣀⣀⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠐⠀⠈⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢡⣤⣶⣶⣦⢠⣶⣷⣾⠀⢃⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⣯⠀⠛⠟⡿⠋⠀⢙⠛⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠸⡅⠈⠀⡰⠳⢶⠖⠰⠀⠀⣏⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠰⢷⣶⣿⠹⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣷⣾⣤⣍⣀⣄⣤⢾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣻⠛⠻⠟⠋⣼⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⢤⡖⣪⢕⡮⣝⣿⣿⣿⣿⣿⣿⣿⣶⡌⣸⣿⣿⣿⣓⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠼⣦⣝⢿⣽⢺⡵⣫⣞⡿⣹⠽⣿⣿⣿⣿⣿⣿⣰⣿⣷⣿⣿⣯⣟⢦⡘⣄⣃⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡄⢪⣴⢪⣷⣾⣯⣻⣿⠿⣽⣷⠻⢼⠷⡻⠓⠛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣽⣲⣭⣷⣸⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡄⢲⣶⢸⣆⡹⢷⣫⣿⣿⣹⣾⣿⣷⣄⢩⣽⢢⡟⣿⣻⢽⣾⣶⡟⢶⣷⣾⣿⣿⣿⡾⣽⣾⣷⣿⣿⣧⡧⡅⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⢘⢦⡰⣿⣎⡹⣏⡟⣿⣶⣿⣧⡽⣿⣿⡿⠿⠿⡿⢺⠿⢙⣳⠏⠿⢿⢿⢇⢛⣮⣿⣿⣿⣿⣿⣽⡷⣿⣿⡿⢯⣽⣷⣯⢩⣴⡢⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⣖⢮⣿⡾⣻⣴⠻⢿⣎⡻⣿⣽⢿⣯⣹⣿⡷⠦⠈⠀⠀⢘⠀⠀⡀⣀⢄⡐⠠⠬⠨⠷⠠⠀⠹⠝⡛⠓⠛⠟⣿⣿⣿⡿⢷⣼⣿⣎⣁⡄⡑⠄⠀⠀⠀ ⢠⣎⣤⣭⡳⢫⢻⣿⣿⣿⣾⣛⣶⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣷⣯⣿⣿⣿⢽⢐⣶⢶⡼⣿⣿⣿⣿⣶⣿⣿⣿⡿⣽⣾⢿⡿⣿⡿⣭⠇⢂⡆⡀⠀ ⣩⣝⣛⣒⣻⣿⣷⣮⣟⣷⣿⡟⠟⠉⠀⢹⣿⣿⣿⣿⢭⠤⠍⣀⢉⡊⢈⢢⠀⠀⢂⠐⢀⠶⠿⠘⠈⠩⡉⠻⠟⠿⢟⡏⠉⠻⣿⣿⣿⣏⣿⣷⣿⣿⠿⠶⣾⡄ ⢿⣿⢯⣷⢾⣶⣿⣿⣿⣯⡁⠀⠀⠀⠀⠐⣻⣿⣿⣿⣷⣿⣶⣷⣞⣷⣦⣾⣽⣾⣶⣴⠾⣶⢾⠶⡷⢼⣿⣿⣶⣶⣶⡆⠀⠀⠈⢻⣿⣿⡿⣿⡿⣯⣽⣿⣵⠀ ⠀⠘⢿⣿⢿⣯⣩⣽⣿⣧⡿⣄⠀⠀⠀⠀⠘⣿⣿⣯⣝⢝⠚⠍⢙⠁⠏⣎⠛⠙⢓⠑⠸⢘⣻⣛⠿⢧⢿⣻⣿⡿⣿⣿⠀⢀⣀⣼⢿⣽⡛⢿⡿⣮⣽⣷⠏⠀ ⠀⠀⠀⠙⢾⣽⡿⠿⢿⣩⣿⣟⣙⠄⠀⠀⠀⢽⣿⣿⣿⣴⣿⣾⣾⣿⣺⢾⣿⣿⣷⣎⠪⣉⢰⡀⣤⢷⢾⣶⣴⣦⣤⣴⠾⣿⣿⣿⣮⣭⣵⣮⣽⡿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⢿⣿⣾⣿⣿⣿⣟⢿⣤⠀⠀⠈⣿⣿⡯⠍⠩⠉⡩⣉⢉⢩⠩⠩⠙⠉⠁⣓⣚⣃⠗⠖⠺⢿⢿⣿⣿⣿⣿⣯⣾⢷⣤⢿⣯⠿⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⣏⣿⣾⣷⣀⡀⣸⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡏⡝⣍⣿⡈⣇⢰⣠⣦⣶⣦⣦⣤⣼⡿⣇⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣽⣷⣍⡿⠋⠀⠉⠈⠘⣿⣭⠭⠉⠉⣙⠧⣙⢉⡛⢋⠃⠉⠊⠹⠒⠙⡻⠿⠿⡿⣿⣿⣿⣿⣷⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠹⣄⠒⠠⠤⠄⠂⣿⣿⣿⣯⣶⣾⣷⣾⣿⣾⣔⣚⢴⠄⡏⣭⠙⠐⢀⢬⡴⡣⢨⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣤⠀⣼⣿⣯⡍⠍⠀⡊⡈⣌⠀⣟⢁⠏⠠⠐⠸⠛⠿⣉⣩⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⡿⣿⡿⢿⣿⡽⣿⣿⡎⣎⣿⡍⡕⣚⡉⣛⣉⣹⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣭⣂⣶⡰⢶⣔⢶⣀⣦⡆⡄⣠⣈⢻⢻⣻⣿⣱⣼⣺⣵⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠕⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⡿⠟⠛⠉⠉⠉⠀⠀⠁⠉⠉⠚⠫⢷⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⢷⣄⠀⠀⠀⠀ ⠀⠀⣠⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⡀⠀⠀ ⢀⡴⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣄⠀ ⣽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢆ ⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠀⠀⠀⠀⠀⠙⠦⢤⣀⠀⠀⠀⠀⠀⢸ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡇⠀⠀⠀⠀⠀⠀⢀⣀⣀⠤⠤⠤⠤⠒⠒⠒⢦⠀⣤⠦⠤⠤⣀⣀⠀⠀⠀⠀⣸ ⣿⠀⠀⢠⠖⠊⠉⠁⠀⠀⠀⢀⣤⣤⣤⣄⠀⡸⠀⠘⣄⢠⣴⣾⣿⣿⣍⠁⢲⣿ ⢿⣧⠀⠈⢷⣀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡟⠁⠀⠀⠘⠿⣿⣿⣿⣿⣿⣷⣾⠋ ⠀⠿⣧⡀⠀⠙⠳⣦⣤⣀⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⣤⠋⠀ ⠀⠀⠈⢯⣄⡀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣖⠟⠁⠀⠀ ⠀⠀⠀⠀⠉⠻⣦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢉⠛⠷⣢⡤⢄⢄⣠⢀⡄⠤⢤⣶⠮⢛⣋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠾⠟⢻⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡶⠟⠛⠛⠛⠷⢶⣶⣶⡶⠶⠶⠾⠟⠁⠀⢀⣾⠇⠀⠀⠀⠀⠀ ⢠⡶⠶⣶⣤⣀⠀⣀⣠⣤⣶⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣦⡀⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀ ⠸⣷⠀⠀⠈⠛⠟⠋⢩⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠙⢷⡦⠄⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⢸⣷⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⣿⡄⠀⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣿⡃⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⠘⣿⡀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠁⠀⠀⠉⠻⢷⣤⡀⠀⠀⠘⠻⣶⡄⠀ ⠀⠀⠀⢿⣇⠀⠀⠀⠀⢹⣷⡀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣠⣄⡀⠈⢿⡄ ⠀⠀⠀⠈⣿⡆⠀⠀⠀⣼⠏⠻⣷⣤⡀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡙⠛⠛⠛⠃ ⠀⠀⠀⠀⣼⡏⠀⠀⢠⣿⠀⠀⠀⢹⣿⠛⠛⠛⠛⣿⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀ ⠀⠀⠀⠰⡟⠀⣀⣾⢿⡇⠀⠀⠀⠈⣿⡀⣠⣴⡶⠿⠷⢶⣤⣀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠘⢿⡄⠀⠀ ⠀⠀⠀⠀⠿⠟⠛⠁⢸⣧⡀⠀⠀⣠⣾⣿⡟⠁⠀⠀⠀⠀⠈⠙⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠶⣾⠋⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣄⡀⠀⠀⠀⠀⠸⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢹⣇⠀⠀⠀⠀⠀⢰⣄⠀⠀⠀⠀⠀⠙⢿⡦⠄⠀⠀⠀⢻⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠈⢿⣆⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠘⣿⣄⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠘⢿⡄⠀⠀⠀⠀⠀⠹⣷⣶⣦⣤⣤⣶⠾⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠈⢿⡆⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠀⢠⣾⠃⠀⠀⠀⢀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⣿⠁⢀⣠⣤⠾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⣤⣶⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
| ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄ ̄| Your text here |______________| \ (•◡•) / \ /
___ _|___|_ ( ●<● ) >- ( ● )-< ( ● )
"D-don't my muscles make me look cute?" ⠀ (\ __ /) (UwU) _ノ ヽ ノ\_ / `/ ⌒Y⌒ Y  \ (  (三ヽ人  /  | | ノ⌒\  ̄ ̄ヽ  ノ ヽ___>、__/ |( 王 ノ〈 /ミ`ー―彡\ / ╰ ╯ \

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⡴⡇⠀⠀⡤⠀⠀⢀⡼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⠓⢦⣀⡜⠀⠱⣤⠞⠙⣦⡴⠋⠀⣇⠀⠀⢀⡾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⠒⠦⢤⣸⠀⠀⠈⠃⠀⠀⢋⣀⣀⣈⠃⠀⠀⢸⠖⠲⡞⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⠀⢸⡆⠀⠀⠀⢀⡤⠔⠚⠉⠉⠁⠀⠀⠀⠉⠉⠑⠒⠤⣀⠁⠀⠀⢸⠀⢀⣀⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠻⡟⠒⠲⢾⠁⠀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⡀⠘⠉⠁⢠⡞⠋⠁⠀⠀⠀ ⠀⠀⠀⣀⣽⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⢄⡀⠀⠀⠙⢢⡀⠀⠸⠧⣤⣀⣀⡀⠀ ⠀⠛⢯⡁⠘⠇⠀⡜⠁⠀⠀⠀⠀⣠⠞⢉⡷⠀⠀⠀⠀⠀⠀⠀⠈⠷⢤⣉⠢⡀⠀⠀⠱⡀⠀⠀⢠⡶⠋⠁⠀ ⢠⣴⠒⠛⠓⠀⡜⠀⠀⠀⠀⠀⢰⢃⠔⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⣿⣿⡄⠀⠀⠹⡀⠀⢨⣟⡁⠀⠀ ⠀⠈⠓⢦⣀⣸⠁⠀⠀⠀⠀⢠⡿⡿⠋⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠈⢻⣅⠀⠀⠀⢧⠀⠀⠈⠉⣩⠟ ⠘⢿⡒⠚⠁⡎⠀⠀⠀⠀⠀⠘⡾⠁⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⢹⣆⠀⠀⢸⠀⠀⠤⣞⠁⠀ ⠀⠀⣙⡦⠔⡇⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⢿⠀⠀⢸⠇⢠⡀⢈⡽⠖ ⠙⠛⠥⣀⣀⣷⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⣷⡀⠀⠀⣀⠀⠀⣾⠀⠀⢸⠀⠈⢿⡁⠀⠀ ⠀⠀⢀⡼⠉⠘⡄⠀⠀⠀⠀⠘⢧⣄⠀⣀⣼⣷⡾⠁⢠⡾⢻⣶⡌⠻⢶⣴⣿⣧⡼⠃⠀⢀⡇⢠⢤⣄⣹⠀⠀ ⠀⢠⣎⡤⢤⣤⠹⡄⠀⠀⠀⠀⠀⠉⠛⠛⠛⠋⠁⠀⠀⠀⠉⠉⠀⠀⠀⠀⠉⠀⠀⠀⠀⡜⢀⢼⠀⠀⠙⠀⠀ ⠀⠈⠀⠀⢀⠏⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠤⠖⠒⠒⢲⣄⠀⠀⠀⢀⠞⠀⠘⢶⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠴⠒⢲⠏⠣⣄⠀⠀⠀⠀⣀⠤⠒⠉⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⡴⠋⠀⠙⢏⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⠀⢀⣈⠱⢤⣀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠉⠀⠀⢷⣄⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠋⠉⠉⢸⠀⠀⠈⠉⠒⠠⠤⠤⣀⠀⡤⠤⠤⠒⣊⠁⠀⠀⢷⠤⠤⢨⣷⠝⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡤⠖⠉⣯⠀⠀⠀⢀⡾⣄⣲⡀⠀⠀⣿⠒⠦⠤⠬⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠘⢧⣀⡴⠋⠀⠘⠋⠳⡄⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡰⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⣞⣟⣹⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡾⢛⢻⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⡟⠛⢻⣷⣝⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣀⣀⣀⣾⣧⡿⢉⠰⢠⢨⣿⠁⠀⠀⠀⠀ ⠀⠠⣯⣹⣿⢀⠣⠠⡙⣿⣌⢷⣦⣤⣀⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣿⠿⣿⣿⣹⣿⣿⡟⡁⠆⡑⢂⡼⣿⣠⡀⠀⠀⠀ ⠀⢐⣿⡿⢟⣆⠢⠑⡄⢹⣿⣿⣿⣿⠛⠍⡛⣿⣶⣤⠂⠀⠀⠀⠀⠀⠀⠀⣯⣿⣇⠂⠌⢿⣿⢿⡟⠡⠐⡌⡐⢢⠳⢉⡉⢿⣦⠀⠀ ⣿⣿⡃⡐⡈⠻⣧⢈⠰⢀⠛⣿⣿⠃⠌⡒⣱⣿⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠻⣞⣿⣎⠰⢈⠙⡋⠔⣁⠣⡐⠡⡉⠔⠢⡐⢈⣿⠆⠀ ⣷⣿⣡⠐⠤⡑⡀⠆⡑⠢⠌⣈⢉⡐⢂⠱⣼⣏⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣿⢷⡄⠊⡔⠡⢂⠔⠡⡁⠆⡉⢆⠁⣞⢻⣦⡀ ⣿⣾⣿⣶⠆⡑⠌⢂⠡⢃⠒⢄⠢⠘⢦⣷⣿⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡻⣾⣿⣔⢀⠃⢆⡘⠰⠠⠑⡰⢀⠎⣀⠂⢸⣿ ⣿⣿⡋⠄⢢⠑⡌⠂⡅⢊⠔⡨⢀⢃⣾⡟⡛⠷⡴⣋⣭⣷⣶⣶⣶⣶⣶⣦⣶⣾⣭⣽⣚⢾⡿⣷⣬⡀⠌⣁⠣⠑⡐⠢⢈⠤⠑⣼⡿ ⣿⡹⣷⣌⠄⠃⡌⠰⡈⠆⢂⠡⣢⣾⣿⢃⣷⡿⠟⢛⠩⢉⣷⠔⡠⢶⣄⡐⡈⠌⣉⠙⢛⠻⢷⣮⣟⠻⢷⣶⣤⣧⣤⣑⣦⣤⣿⠟⠁ ⠀⠉⠻⣽⣻⢷⣄⣃⣐⣨⣴⣿⠟⣃⣴⡟⠩⢐⠨⣤⣾⡿⢋⠰⠀⢭⠻⢿⣶⣬⣤⣘⣠⣈⠄⡉⠻⢿⣮⠻⡿⠿⠉⠉⠛⠋⠁⠀⠀ ⠀⠀⠀⠀⠈⠙⠽⠿⠛⢻⣭⣷⣾⡟⠳⠶⢷⠾⠟⢋⣱⣶⢆⢣⡙⢾⣷⣤⡈⢉⠍⠛⠛⢋⡐⠌⡐⢂⠹⣿⣌⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⢃⠐⡢⢁⠆⠰⣨⣿⣿⢏⡜⣢⢝⣚⣿⣿⣿⣤⠊⠔⡑⠢⠌⢢⠁⢆⠡⢈⢿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⢳⡿⠁⢆⠱⢀⢃⣬⣷⣿⡿⢯⡟⡼⠥⡏⢞⠳⣟⣿⣿⣷⣮⣤⣁⠊⡄⠡⢊⠐⡂⠌⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⣷⣿⠃⡜⠠⣳⣾⣿⣿⢿⡻⡵⢏⠞⡴⢫⢜⡣⡝⡸⢧⣟⣻⠿⣿⣿⣿⣿⣇⠂⡱⢈⠰⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣻⡟⢰⠠⠉⣿⡯⡝⣜⡲⣿⠈⠎⡽⢌⡳⢌⡖⡍⠖⡃⠌⣹⡿⣔⡲⡱⢾⣧⠂⢡⠊⡄⢹⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢪⠇⡈⣿⣱⢹⢦⡹⣿⠀⢍⣰⣦⣶⣷⣶⣾⣴⣀⠃⠼⣿⡰⢳⣍⢻⣷⠈⢢⠑⡠⢹⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠥⡙⢆⠡⣿⣥⢫⡖⣭⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⣿⡱⣏⠼⣹⣯⠐⢂⠱⣀⢹⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⡘⡅⢂⣿⢖⡳⣚⢴⣻⣿⣿⣿⣻⢏⡿⣽⣻⣿⣿⣿⣿⡼⢳⢭⡚⡽⣷⠈⢌⡒⢤⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠐⡌⠄⣿⢎⡵⣍⢮⣽⣿⣿⣷⠿⠿⠿⢷⣷⣿⣿⣿⣿⡗⡹⢶⡹⣜⣿⠀⢊⢥⣾⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠌⢂⣿⣚⠼⡜⢦⣿⠟⡉⠄⣒⠨⣐⠄⡠⠌⡙⠛⢻⣭⡓⣧⠳⣼⡏⢰⣡⡿⣋⠄⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⢺⣥⢻⡙⣎⣿⠀⡔⠡⣈⡇⠘⣆⠐⢢⠐⡉⢸⣷⡹⣜⠳⣜⣧⣿⢋⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣻⢷⣮⣧⡙⡖⣿⠐⠨⠑⡠⠉⡔⠠⡉⠄⠃⢌⠘⣷⣳⣼⡿⢿⡋⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠯⠛⠿⢷⣧⣬⣥⣆⣡⣒⣤⣁⣦⣭⣼⣶⠿⣟⣏⠷⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣙⢸⣉⡍⠛⠙⠛⠛⢻⡙⡏⢡⢒⣼⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ㅤ/ ̄ ̄ヽ_  /^ヽ ・  ● |# | __ノ  `―-)=( / ̄∨ ̄\   /ㅤ ) l ㅤ |  c(  ノ \ /   _」 LL_   \ /  (__)_)
ㅤ / ⌒ \ /๑╹ω╹๑\ (;;;;______,,,,,)   丿  ! (__,,ノ
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣷⣿⣿⣿⣿⣿⠿⠿⠷⣚⢒⢋⠛⡍⡛⣙⠋⡟⢛⠯⠟⡿⣿⣯⢿⣟⢿⣽⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⡿⢟⠫⡉⠔⡈⠆⠱⡀⠎⠄⠣⢐⠡⠄⠣⠌⢢⠘⡠⠑⠤⡉⠷⠿⣟⣾⣽⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⢿⣿⠟⡉⠔⡈⢆⠡⠘⠄⠡⢂⠐⡈⠄⠡⠂⠄⠃⠌⠰⠀⠆⠡⢉⠰⢀⠣⠘⢌⠹⠿⣿⣟⣻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣾⠋⣹⡾⠟⡠⢊⠜⠡⠈⠄⢂⠡⣈⠄⡀⠂⠐⠈⡀⢐⣀⣈⣀⠂⠁⡈⠐⡀⢂⠂⣁⠊⡐⠢⠡⠌⢛⢿⣿⣽⣦⡀⠀⠀⠀⠀ ⢀⣴⡟⢡⣿⠛⡅⣃⠆⣡⢂⣡⣬⣶⣾⣿⣿⣷⡄⠈⠠⠁⢸⣿⣿⣿⢿⣿⣿⣶⣦⣤⣄⠠⢀⠂⠡⠐⡁⠎⠰⡈⠲⣹⢲⡱⠄⠀⠀⠀ ⣻⠏⣠⡿⢃⠭⡰⠄⢊⢼⣿⣿⣿⣿⡿⠟⠋⠁⠀⠄⠡⠐⢀⠈⠉⠛⠻⢿⣾⣯⣿⣿⡟⠀⠄⡈⠄⠡⠐⡈⠅⠰⡁⢢⡙⡴⠈⢀⠀⠀ ⣿⣤⣿⢃⠞⡄⢣⡐⠌⠼⣿⡿⠟⢋⠁⠄⡠⠄⠂⠄⢂⠐⡈⠄⠠⢀⠀⠈⠉⠙⠛⠋⢁⠐⠠⢁⠰⢀⠂⠡⢐⠂⢡⠊⢡⠓⣆⠈⠆⠀ ⣿⣿⠏⣌⠲⣉⠒⡌⣜⡰⢄⡒⠌⠤⠘⢠⠐⠠⠈⠄⢂⠰⠀⠌⡐⠄⣈⠂⠡⠌⢠⠁⢆⡈⠒⡈⠐⠤⢈⢂⠰⠈⡄⠊⠤⡙⡘⣆⠀⣇ ⣻⡿⠱⣨⠱⣈⠳⣼⡿⡓⢬⠐⠌⠠⠉⠄⡈⠄⣁⠂⠄⢣⠌⡐⡀⠆⠠⠈⠔⡈⠄⢊⠤⣈⢑⠢⣉⠐⠄⡂⡐⠡⡀⢃⠒⢠⠓⡜⡆⠺ ⣿⣏⡑⢦⢑⠢⣽⣿⢧⡙⢄⠊⠄⠁⡐⠀⠁⠌⡠⢌⠐⢢⠜⡠⠁⠌⠐⠀⠠⠐⠈⡐⠢⡐⢊⡕⢢⢍⡐⡐⢈⠔⠠⢡⠈⠆⡱⠸⣭⢓ ⣿⡧⣘⠲⡌⢣⣿⣟⢦⣉⣦⡾⠶⠟⠶⠶⢮⣤⣐⠄⢊⣼⣇⣴⠷⠾⠛⠛⠻⠶⢶⣤⣅⡰⣁⢎⡱⢎⡔⢨⠐⡨⠐⢂⠌⢒⠐⡣⣝⣾ ⣿⡗⢤⠛⢤⢃⣿⣿⡶⣟⣻⣶⡆⡤⢀⠀⠀⠀⠙⠻⣦⣿⣋⢷⣺⣦⣕⡠⢀⢀⠀⡀⠉⠛⢛⠾⢷⣿⡮⠐⡌⠰⠁⡌⠢⢁⠊⠴⣹⢦ ⣿⣏⠦⡙⢂⡃⢿⣏⣿⢾⣿⣿⣿⣷⣧⡘⠤⣁⠢⢡⣹⣷⡿⣿⣿⣿⣿⣿⣆⠎⡰⢀⢣⢉⠦⣙⣾⡟⡡⠃⢌⡑⢂⠰⢁⠎⢌⡱⢭⡷ ⣿⣯⡒⡡⢃⡇⠎⢿⣞⢿⡿⣿⣿⣿⣿⠟⡴⢢⡱⣦⡟⡙⣿⣻⣿⣿⣿⣿⣏⢧⡱⣉⢦⣋⣾⣿⠏⣴⢃⠩⣀⠒⠄⡱⠈⡔⠢⡜⣣⡟ ⣿⣿⣧⠑⣌⠲⣉⠎⡻⣯⣝⢿⣯⣻⣭⣻⣼⣷⠟⡫⢔⠱⢺⣿⣻⣿⣯⣵⣎⣶⣳⣽⣮⡿⠟⣡⢞⢃⠢⢑⠠⠃⡌⢄⠣⢌⠱⣜⡳⣿ ⣿⡿⣿⡇⡰⢃⠖⣨⠱⣘⢻⢳⢮⣍⡹⢭⡙⡤⢋⠴⡉⠦⠡⢌⡙⠶⢩⡉⣍⢋⡙⣉⠡⡴⠞⡃⠎⡄⢣⠈⢆⠱⣀⠊⡔⢨⠲⣥⡟⣧ ⢿⣷⣿⣷⢡⢃⡚⢄⠣⡜⣌⠳⣊⠖⣍⠲⡱⢈⠣⡘⠄⡃⠍⡐⡈⠆⢡⠒⠌⣂⠒⡌⠱⡐⢣⢉⠒⡈⠤⠑⣈⠢⠄⢣⠘⣢⢛⡶⢏⣲ ⢾⢹⡯⣿⣧⡒⢌⡂⢇⠲⢌⡓⣌⠚⣄⢣⠰⡁⢆⠡⠌⡐⠐⡠⠐⡈⠄⡈⠐⡀⠒⡈⠡⠌⠄⡂⠜⠠⡁⠎⡀⢆⡉⢆⡹⢰⢯⡞⠀⣏ ⠈⠨⣷⣹⣿⣧⡘⢥⡘⢤⢊⡱⢉⡒⠩⠌⢂⠡⢈⡐⠠⢁⠂⡁⢂⠡⢀⠡⢂⠁⡂⢁⠂⡐⠠⢁⠰⠠⢁⠂⡱⢈⡱⢌⢣⣞⡾⠁⣰⠉ ⠀⠀⠉⢿⣦⣿⣿⣘⣿⠳⡶⢷⡾⢶⣷⣼⣦⣵⣦⣤⣣⣤⣆⣴⣀⣦⣀⣆⣄⣢⣐⣄⣢⣄⣡⢂⡤⣁⢦⠱⢦⠃⢦⣩⣶⡟⣀⡞⠁⠀ ⠀⠀⠀⠀⠈⠻⠿⣯⡿⣿⣿⣷⣾⣵⡌⢦⡉⠜⡈⠥⢉⠃⡉⢃⠩⠌⠩⠘⡈⠡⠉⠤⡁⢆⣄⣣⣰⣤⣆⣶⢦⣽⣶⣿⢟⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠷⢻⣍⠻⣯⣟⡿⣿⢿⣷⣼⣴⣌⣦⣥⣆⣦⣜⣤⣧⣼⣥⣿⣶⢿⠿⣞⢿⡹⢯⣝⣾⡿⣟⣱⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⣿⣯⣩⡟⣯⣟⡾⣽⣻⣟⣿⣻⢿⣟⣿⢻⡟⣯⢟⣮⢳⣏⠿⣜⣧⣿⣷⣿⣿⣶⠿⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣈⣟⣷⣾⣿⣋⣻⣿⣟⣻⣷⠿⢞⣾⣯⣽⡾⠻⢞⣷⣏⣻⣿⣅⣾⣷⣶⣻⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀
₍ᐢ•(ܫ)•ᐢ₎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠤⠶⠶⠶⠶⠶⠶⠶⠦⠤⢄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠞⠛⠉⠀⠀⣀⣠⠤⠤⠤⠤⠤⢤⣄⣀⠀⠀⠉⠛⠒⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠋⠀⠀⠀⢀⡤⡾⠏⠂⠉⠀⠀⠀⠈⠉⠙⠓⢨⡙⠦⣄⣀⡀⠀⠀⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⡴⡯⠋⠀⠀⠀⠀⠀⣀⡀⣴⣖⠮⠽⠿⠯⠥⣜⣯⣉⡓⠲⢤⣀⠈⠙⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⢰⠳⡇⠀⠀⢤⢶⣲⡽⠗⠋⠉⠉⠛⠻⢿⣶⣶⣾⡙⣿⡍⠛⠲⢾⣓⡀⠀⠉⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁⠀⠀⠀⠀⠀⠀⠀⣸⡦⢳⡞⠋⠉⠉⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠉⡇⡏⠁⠀⢠⣄⠀⠙⢦⣀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⢀⣤⠖⠋⠁⠀⠱⢽⡣⢤⡀⠀⠀⠀⠀⠀⠀⠉⠓⠢⡀⠀⡴⡽⠁⠀⡠⣿⣽⠀⠀⠛⠛⠳⣄⠀⢳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⣀⡰⠖⠋⠁⠀⠀⠀⠀⠀⠀⠉⠒⠯⣑⣶⡤⠄⠀⠀⠀⠠⠤⣶⡫⠧⢅⠠⠀⠄⠈⢿⢷⡀⠀⠀⠀⠘⣦⡀⠈⠙⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⢀⡴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠩⣭⠿⢤⣄⢀⣷⠇⠀⠀⠀⠳⣟⣄⠀⠀⠀⠈⢳⡀⠈⢶⢳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣎⡿⡄⠀⠉⠳⣄⠈⠛⣷⡀⠀⠀⠈⢳⡀⠀⢷⢿⠀⠀⠀ ⠀⢀⣠⠿⠶⠤⠤⠴⠛⠁⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣱⡀⠀⠀⠈⢷⠀⠀⢷⡀⠀⠀⠀⢷⡀⠘⢸⡄⠀⠀ ⢠⡾⠃⠀⠀⠀⠀⠀⢀⡀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⡟⠀⠈⠳⣦⣀⡀⠀⠀⠀⠀⠀⠀⠳⡵⢄⠀⠀⠈⣆⠀⠀⠁⠀⠀⠀⠀⢷⢀⢰⠃⠀⠀ ⠀⢩⣿⠖⠒⠲⠒⠊⠉⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷⣦⣄⣰⡇⠈⠙⠲⣦⡀⠀⠀⠀⠀⠙⢎⠳⣤⡀⠉⠀⠀⠀⠀⠀⠀⠀⢸⡞⢸⡄⠀⠀ ⠀⠘⣷⡤⠤⠀⠀⠀⠈⢁⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣤⠀⠀⠀⠀⠀⠙⠦⣍⠓⠦⣤⡀⠀⠀⠀⢀⠾⡱⠀⠙⡆⠀ ⠀⠀⣿⠀⠀⠀⣀⡤⠖⠋⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠈⠙⠓⠦⢬⣍⡉⠉⠀⢺⠁⠀⠀⢹⡆ ⠀⠀⠿⠶⣲⠞⠉⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇ ⠀⠀⠀⠘⠻⢦⣤⡄⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⡇ ⠀⠀⠀⢀⡼⠛⠁⠀⠀⠀⢈⢻⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⡇ ⠀⢀⣾⣋⣀⣀⣀⡤⠖⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⢀⡇ ⠀⠀⠉⢉⣩⡿⠋⠀⠀⣀⠀⢀⣘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢤⣀⠀⠀⠈⠙⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⢸⠁ ⠀⠀⠀⠛⠛⠒⠒⠚⠛⠛⠛⠛⠉⡿⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣄⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⢠⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣄⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠸⠧⢤⣤⣄⠀⠀⢀⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢷⡀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⠶⠤⠤⠤⠤⠴⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠟⠉⢀⡾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠳⣄⠀⠀⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⢛⡇⠀⠀⢀⡾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠈⠀⠀⠀⠀⠈⠛⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠚⠋⠀⠀⢸⠃⢀⣴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠦⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⠤⠖⠒⠛⠉⠀⠀⠀⠀⠀⠠⣿⣴⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠒⠒⠒⠒⠒⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡵⢿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠁⢸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠁⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠙⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⢸⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠈⠙⠶⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡴⠶⠋⠉⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠰⣆⠀⠀⠀⠀⠉⠉⠉⠒⠒⠶⠶⠶⠒⠒⠒⠚⠉⠉⠉⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠠⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢀⣀⣀⠤⠤⣀⡀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠸⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠉⠁⠀⠀⠀⠀⠉⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢁⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣠⡾⠋⠉⢛⣶⣄⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠉⠛⢦⣀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⢹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⡏⠀⠀⠀⢘⣷⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡧⠤⣤⡀⠀⠀⠀⠀⠈⠳⣄⠀⡼⠃⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡇⠀⠀⠉⣉⠀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠈⠳⢄⠀⠀⠀⠀⣨⠟⠁⠀⠀⠀⠀⠀⣀⣼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠠⣄⣉⣙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⢳⣀⠴⠋⠁⠀⠀⠀⠀⠀⢠⣶⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⣄⣀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⢠⠀⡄⢠⡄⠀⣤⠾⠋⠁⠀⠀⠀⠀⠀⢀⣠⠶⣻⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣎⣆⠛⣤⣹⡾⠇⠀⠀⠀⢀⣀⣤⠖⠚⠋⠀⢰⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠉⠟⣻⣛⣁⣀⣤⠴⠶⠚⠋⠁⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠉⠉⠉⠉⠓⠒⠒⠉⠉⢳⡿⠋⠉⠉⠉⠉⠙⣯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⡛⠛⣻⠟⠉⠉⢻⡄⠀⠀⠀⠀⠀⠀⠀⢀⡼⢦⣤⣤⠤⠤⠤⠖⣶⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠒⠶⠶⠟⠀⠀⠀⠀⠀⠀⠀⠀⣟⣀⠀⠈⢢⣀⣀⣠⠴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
♡ ☆ .♡‧₊˚ you ╭◜◝ ͡ ◜◝╮ ㅤ ╭◜◝ ͡ ◜◝╮. ( ^ ∀ ^。 ) ♡ ( ^ ∀ ^。 )☆ ♡ ╰◟◞ ͜ ◟◞╭◜◝ ͡ ◜◝╮ ͜ ◟◞╯♡ . ☆ ㅤㅤ( ^ ∀ ^。 )☆ ♡ do ♡   ╰◟◞ ͜ ◟◞╯ . ☆
ㅤㅤ/ ⌒\____   /・   )  \  /ノへ ノ    /| ノ   \\ |/_/_/
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⢀⡠⠶⣋⠉⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢛⣻⠿⣿⣿⠿⠾⢉⣀⡤⠶⠒⠒⠉⠉⢉⠉⠩⠭⣳⣶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡶⣋⡤⠞⠉⢀⠤⠂⠉⠀⠀⠉⠒⠢⣤⡤⠒⠓⠶⣤⣈⠉⠉⠻⣿⣶⣔⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠞⣩⣾⠋⢁⠐⠊⠁⠀⠀⠀⠀⠀⡴⣠⠞⡿⠁⠲⣄⠀⠙⢿⣷⣦⣀⠀⠉⠻⣿⣷⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⢰⡿⡡⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠟⡟⣼⠁⠀⠀⠈⠷⣦⠀⠹⣟⢿⣿⡦⣀⠀⠻⣿⣝⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⣼⡿⡿⠀⠀⠀⠀⠀⠻⣷⣄⢿⣦⠻⣿⣯⣲⣀⠙⣿⢿⣿⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⣴⡿⣹⡇⠀⠀⠀⠀⠀⠀⠙⣿⡾⣟⣆⠻⣿⢿⣟⣦⠘⣧⠙⣷⡙⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⣟⡟⠀⠀⢀⣶⠂⠀⠀⠀⢀⣿⠃⢠⣻⠃⣿⠁⠀⠀⢀⣀⣀⠀⣀⢹⣿⣿⢿⣦⢿⢷⡹⣿⣷⣿⣦⠙⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⣹⣻⠁⠀⣴⣿⠋⠀⣀⣠⣾⡏⡿⠀⣾⡟⢰⣿⣄⡤⣶⣿⠿⠛⠀⠈⠿⣿⣿⣦⣿⣎⠇⢿⣽⣿⣷⣿⡆⣿⣿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣷⣿⡇⢠⢞⣿⣃⣴⣿⣿⡿⠋⣿⣇⣀⣿⣷⣿⡿⠟⡫⠛⠀⠀⠀⠀⠀⠀⠀⣿⣹⣻⣿⣿⢾⣿⣿⣿⣿⣇⢙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⡿⣿⡇⢩⣯⣿⣿⠟⣫⢞⣴⣴⣿⣿⣿⣿⣷⠾⣿⣏⠀⠀⠀⠀⠀⠀⠀⠶⠚⡿⠉⣿⡟⠿⣿⣿⣿⣿⣿⣿⣸⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣧⣿⣇⣾⣿⣿⣿⣾⡿⠛⣿⣿⣿⡿⠛⠉⢹⣆⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣸⡀⣠⣿⣷⠀⠉⢿⣿⣟⣁⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡏⣻⡿⠛⣿⣿⣿⣿⣷⣿⣿⣿⣿⣧⠀⠀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠀⠀⠸⣿⣿⢿⣿⣿⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⢳⣿⣧⣾⣿⣿⣿⣿⣿⣏⣹⣼⣿⣿⣴⣶⣿⣿⠀⠀⠀⠀⠀⢀⣠⣄⣀⣀⣀⡻⣿⣿⠋⠀⠀⢀⣿⣿⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣟⣼⣿⣷⣿⣿⣿⣿⣿⣿⣿⢻⣏⣿⡏⣿⣿⣿⡿⠀⣠⡄⣀⣴⣿⡿⣻⢿⣉⠉⠉⠛⠓⠲⢶⡾⢿⣿⣿⣦⣿⡟⢽⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣾⣿⡿⠶⠋⠉⠰⠛⠛⠋⠉⠁⣠⣿⠆⠤⠀⠀⠖⠘⠁⠈⣿⣿⣿⣿⢠⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⢹⣿⣿⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠟⠁⠀⠈⠀⠀⠀⠀⠀⠀⢀⣁⣀⡀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣏⣿⠃⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡾⣿⣿⡟⣿⣿⣿⣿⣿⣿⡿⣿⣯⣉⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠀⠀⢀⣀⣴⣾⣿⣿⡿⠿⢿⣿⣄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢧⡙⢻⣿⣏⣿⣿⣿⣿⣿⣿⣽⣿⣿⣷⡿⣷⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣀⣶⠶⠟⠋⠉⠉⣽⡿⠁⠀⠀⠉⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠈⢿⣿⣿⣿⣻⢿⣏⣻⣿⠻⣿⡧⢀⣼⣛⡿⠿⠿⠶⢶⡦⠶⠶⣶⣾⣿⢭⣄⣀⣀⣀⣐⠛⠁⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠿⣝⣿⣿⣿⣿⣿⣆⣈⣹⢾⣽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠿⠉⠉⠙⠲⣦⡀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣼⡟⠋⠉⣿⢋⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣀⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⢀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣙⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣾⡿⠁⠀⣸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣦⣀⣠⣶⢿⡿⡟⠙⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣃⠀⠀⠙⣿⢦⣀⡀⠀⠀⠀⠀⠀⠀⣀⣀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣡⣿⣣⠁⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣯⣙⠳⣆⣀⣉⣠⡿⠿⣷⣶⣦⣤⣄⣀⣉⣭⣼⣿⠿⠟⠉⠻⠁⢹⣿⣿⣿⣯⣽⠃⠀⠀⠠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠉⠛⢒⡶⢿⣿⡿⠁⠀⢀⡿⣏⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⣿⣟⣹⣿⠁⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢤⣀ ⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⣰⠏⣴⠟⠛⠀⠀⠀⡾⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢫⠁⠀⢀⣠⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⣀⣈⡁⠉⠐ ⠀⠀⠀⠀⠀⠀⠀⣿⠃⣠⣾⣁⡼⠃⠀⠀⠀⠀⣼⠁⡀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⡀⠀⠀⣏⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣆⣈⡿⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⡶⠋⣯⣿⣷⠄⠀⠀⢀⣼⡏⠀⢷⣀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⣷⣄⣤⣭⣽⣲⣦⢤⣽⣧⡀⠀⠀⠀⠀⣀⠀⠀⣈⣹⡿⠟⠁⢀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣷⡴⠋⠛⠻⣆⠀⠀⣾⡿⠀⠒⠺⣿⣇⠘⣆⠀⠀⠀⠀⠀⣀⣤⣶⡿⠿⣫⣿⣿⣿⣯⣭⣿⣹⠛⠶⢾⣿⣿⠀⠀⡴⠊⣁⣠⣿⠽⠋⠀⠠⠈⡱⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢻⡇⠀⠀⠀⠙⢷⣴⠟⠀⠀⠀⡼⣿⣿⡄⠻⡄⠀⠀⣤⣶⡿⠗⣉⡴⠿⢿⣙⣆⠻⣦⡀⠹⣅⡀⠀⠈⣿⠋⠀⠾⠓⠉⠉⣹⠇⠀⠠⠂⢀⡜⢁⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣈⣿⣄⠀⠀⠀⠀⠈⠳⠦⠀⣴⣱⠋⢻⣿⣄⣳⡠⠶⠋⣉⡤⠾⢭⣶⣶⡾⠿⠿⢤⣹⣿⣦⢭⣙⣦⣤⣇⣀⣀⣀⣠⠤⠞⠁⠀⠀⠀⠀⠘⠛⠉⠁⠀⠀ ⠀⢀⣴⣶⣿⣿⣿⣿⣿⡿⡿⣷⣤⡀⠀⠀⠀⣤⣾⣿⣷⣶⣿⣿⣿⣿⣷⣾⣻⠍⠀⠀⠀⠀⠀⣹⠀⢀⣀⠤⢿⣍⣀⣽⣿⣿⣿⣿⣿⣍⢉⡉⠉⠒⠶⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣉⠷⣤⣀⣀⣀⣴⣫⢾⣉⣁⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣉⣡⣤⣢⠼⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠉⠁⠀⠀⠌⢿⠿⠿⠿⠿⠿⢟⣻⠟⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣉⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣏⣥⠖⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢤⣴⣶⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣭⡿⣻⣿⣿⢿⣿⣿⣿⢿⣿⡿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠰⠞⠛⠹⠿⠟⠋⣽⠿⠿⠿⠿⠟⠋⣉⣽⠶⠿⠛⣉⣤⠶⠞⠯⠾⠿⠿⠿⠿⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ㅤ ∧_∧  ( ・∀・)  ( つ┳⊃ ε (_)へ⌒ヽフ (  ( ・ω・) ◎―◎ ⊃ ⊃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠒⡀⠀⣀⢀⡒⠢⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⢀⡶⠉⠀⣀⣠⣭⠞⢰⣢⠄⡑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⢀⠸⢤⠒⠋⠉⢀⡉⠉⠛⡗⠈⡉⢢⡈⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠂⢀⠠⠒⠁⠀⠉⠣⠦⣄⣀⣀⡥⠾⠁⠈⢣⡀⠈⠢⠑⣄⠀⠀ ⠀⢀⠀⢀⡰⢁⠆⠁⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠉⠑⢧⠀⠢⡙⢆⠀⠣⠘⡇⠀ ⠰⡉⠉⡁⠀⡆⠀⠀⠀⠀⠀⢀⣴⣿⣿⠉⢢⠄⡀⠀⠈⢧⠀⠠⠈⠀⠀⢃⠙⠀ ⠘⡇⠀⢀⠸⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣶⣾⣦⡀⠀⠘⠔⣠⡀⠀⢜⠘⠄ ⠀⠳⣆⠁⠀⡄⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠉⠀⡐⠀⠰ ⠀⡠⠊⣁⠀⢧⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢠⠁⠀⠐ ⠀⠩⠏⠡⠤⠬⣆⠀⠀⠀⠈⠐⠄⡈⠙⠛⠻⠿⣿⣿⣿⡇⠀⠀⠀⢀⠂⠀⠀⡄ ⠀⠀⠀⠀⠀⠐⡄⠣⡀⠀⠀⠀⠀⠈⠐⠤⠀⣀⡈⠿⠛⠀⠀⠀⠀⠛⡲⠄⡘⠀ ⠀⠀⠀⠀⠀⠀⡟⠂⠈⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠐⢹⢀⠔⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠈⠀⠂⠤⠤⠤⠤⠐⠒⠀⠉⠁⠀⠀⡺⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡘⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠊⠀⢃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠃⠀⠈⠢⠄⢀⡀⠀⠀⠀⢀⣀⠠⠔⠊⠁⠀⠀⠀⠈⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⡈⠀⠀⠸⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡀⠰⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⣀⣁⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠀⡀⠀⠀⢀⠃⠀⠇⠀ ⠀⠀⠀⠀⠀⠀⡎⠀⠸⢷⠁⠀⠀⠀⠀⠀⠀⠀⢀⠞⠤⠀⠀⠑⢄⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢄⠤⡏⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⡀⢀⠠⠂⠁⠀⢀⡖⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠄⡀⠀⠀⠀⠀⠀⠀⠳⣔⠕⢃⡀⠤⠒⠈⡰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡉⠉⠀⠈⡜⠉⠉⠙⠏⠀⠀⠀⠀⣰⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠭⠋⠩⠂⠀⠀⠀⡞⠒⣒⣂⠆⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡿⠿⠛⠛⠛⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⠛⠉⠉⠉⠙⠛⠿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣦⣀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣄⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⠀⠀⠀⠀ ⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀ ⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀ ⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀ ⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁ ⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀ ⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀ ⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀ ⠀⠀⠀⠈⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⡿⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣷⣶⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⡿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠤⠒⠒⠒⠒⠒⠒⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠉⠁⢀⡠⡶⠒⠉⠉⠭⠅⣒⠦⣀⠀⠈⠉⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⠊⠁⠀⠀⢠⣾⠗⠁⠀⠀⠀⢀⣠⣤⡲⠾⣒⣱⣖⠲⠤⣀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⡷⠁⠀⣠⣄⡶⠿⠓⠙⠓⠲⠶⣤⣬⡙⣭⠒⠪⠽⣂⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⢀⡠⠗⡹⣍⠀⠀⠀⠀⠀⠤⢄⣀⠀⠀⠀⣧⠃⠀⣰⣄⠈⣱⣤⡀⠻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⣀⡴⠚⠉⠀⠀⠈⠚⠵⣢⢄⣀⠀⠀⠀⢀⣑⡠⣞⡏⡀⠐⠻⡿⡀⠀⠀⠙⣆⠘⠢⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⣀⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠛⠛⠛⠛⣒⠎⣁⢉⠰⠀⠀⠙⢕⣄⠀⠀⠈⢦⠀⢪⣣⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠁⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⣾⣰⠀⠉⠲⡄⠙⢧⠀⠀⠈⢧⠀⢱⢧⠀⠀ ⠀⣴⠚⠑⠒⠚⠉⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡏⠢⣄⠀⠀⠀⠀⠀⠀⢱⣣⠀⠀⠘⡄⠀⠣⠀⠀⠈⢆⠈⢸⠀⠀ ⠘⢣⡄⠀⡀⠤⠔⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣄⡀⣸⠑⠲⢄⡀⠀⠀⠀⠱⡕⢄⡀⠱⠀⠀⠀⠀⠀⢸⡶⢸⠀⠀ ⠀⢿⡤⠄⠀⠀⠀⣹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣾⣿⣦⡀⠀⠀⠈⠲⢌⡲⢤⣀⠀⠀⠀⡴⡣⠈⢧⠀ ⠀⢸⡇⣀⣀⠴⠊⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠉⠑⠒⠏⠍⠁⢘⡇⠀⠈⡆ ⠀⠈⠩⣿⣁⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⡇ ⠀⠀⠀⡠⠟⠉⠀⠀⠻⡄⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⡆ ⠀⢰⣏⣠⣄⡤⠖⠀⠈⢳⡀⠀⠀⠀⠀⠈⠛⢿⡿⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⡇ ⠀⠈⢠⣴⣋⣀⣀⣤⣄⡬⣧⠀⠀⠀⠀⠀⠀⠀⠉⠲⢤⣀⠀⠈⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⢰⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣼⣁⠀⠀⠀⢀⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢧⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⠤⠤⠤⠤⠼⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣨⠽⠓⢀⡞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠧⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠋⡇⠀⢠⠞⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⠑⠦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠴⠒⠉⠀⠀⣸⣁⣴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠲⠤⠤⠤⡤⠤⠖⠒⠒⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⣋⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠘⠷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠉⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠈⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⢲⠉⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡄⠀⠈⠉⠓⠒⠢⠤⠤⠤⠤⠤⠤⠒⠒⠋⠉⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠤⠒⠒⠒⠢⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠘⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣠⠴⠤⢤⡀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠒⠢⠤⡀⠀⠀⠀⢀⡏⠀⠀⠀⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⠃⠀⠀⣿⡿⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡯⠄⣀⠀⠀⠀⠈⠳⡄⢠⠞⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠉⣅⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠙⠢⡀⠀⣀⡜⠁⠀⠀⠀⢀⣠⠞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⡒⠒⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⢀⠀⢀⣠⠷⠚⠁⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⢣⠱⣘⢦⡾⠈⠀⠀⠀⣀⠤⠖⠉⡸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣤⣀⣀⣀⡀⠀⢀⣀⡀⣀⣀⣀⣹⣓⣛⣡⠤⠴⠒⠚⠉⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠉⠉⠉⠉⠉⠉⡽⠋⠉⠉⠉⠉⢳⡀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡦⠤⢤⠴⠶⢾⠀⠀⠀⠀⠀⠀⠀⣇⡀⠀⣀⣀⣀⣀⡤⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠓⠢⠤⠜⠀⠀⠀⠀⠀⠀⣞⡁⠉⢫⣀⣀⡤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⣰⠞⣿⠀⠀⢠⣟⠀⠀⠀⢠⡞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠛⠶⣄⡀⢰⠇⠀⢻⣄⣠⠏⠙⣆⣀⡴⠋⠀⢷⡀⠀⠀⠀⢰⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⢶⣦⣤⣄⡀⠀⢸⡀⠀⠈⠛⢺⠀⠀⠀⢹⠁⠀⠀⠈⢿⠀⠀⠀⠘⣷⣠⣤⣠⠟⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠉⠙⠛⠓⠀⠀⠀⢘⣀⣠⠤⠴⠶⠶⠶⠶⠦⠤⣄⣀⡀⠛⠁⠈⢯⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢀⣠⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠶⣄⡀⠀⠀⠀⢸⡇⢀⣀⣠⣤⣀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⡟⠓⠲⠦⣼⠃⠀⠀⣠⠜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠘⠛⠋⠀⢠⡴⠿⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡀⠀⠀⠉⠁⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⡤⠶⠛⣧⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⣠⡶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡉⠓⢦⣀⠀⠀⠀⠈⢧⡀⠀⠀⠉⠙⠛⠒⣶⣶⠀⠀ ⠀⠈⠛⢶⣄⠀⠙⠁⢠⠟⠀⠀⠀⠀⠀⠀⠀⡴⠋⢈⣸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠶⢤⡙⢦⡀⠀⠀⠀⠻⡄⠀⠀⠀⣴⣟⣁⡀⠀⠀ ⣤⣴⠶⠛⠛⠛⠓⢀⡟⠀⠀⠀⠀⠀⠀⠀⡾⢁⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣬⣳⣿⡄⠀⠀⠀⢹⡀⠀⠀⣡⡿⠋⠀⠀⠀ ⠈⠙⠳⢤⡀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⣼⡵⣫⡾⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠈⠻⣾⡃⠀⠀⠀⠀⣷⠀⠀⠈⠛⠛⠛⢻⡶ ⢰⣤⣀⣀⣹⡶⢂⡇⠀⠀⠀⠀⠀⠀⠸⠟⣴⠏⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠙⣷⡀⠀⠀⠀⠸⡄⠀⠀⠀⢀⡴⠛⠁ ⠈⠹⣤⡀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⣽⠏⠀⠀⠀⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⢘⣿⡀⠀⠀⠀⡇⠀⠈⠓⢯⣄⠀⠀ ⠀⠀⠈⣻⣦⠶⢺⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⡇⠀⣄⠀⠀⣈⡽⠟ ⠾⠾⣋⡁⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⢀⡇⠀⠸⣷⠋⠁⠀⠀ ⠀⠀⠀⠙⣳⡶⠖⣇⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⣤⣄⢀⣿⠀⠀⣀⣤⣄⣀⠹⣧⡄⢀⢀⣼⣶⡀⢀⣿⠃⠀⠀⣼⠀⠀⠀⠙⢷⡄⠀⠀ ⠀⠀⠀⣰⠋⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠙⢷⣤⡀⣰⣾⣿⣿⡿⠃⠀⢶⠟⢉⣽⣿⠗⠈⠛⠻⣿⣿⣿⡶⠟⠁⠀⠀⢠⠏⢠⡖⠲⢶⣄⡇⠀⠀ ⠀⠀⣾⣡⣤⣤⣤⣤⢻⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢠⣼⡇⠀⠀⠘⠛⠀⠀ ⠀⠈⠋⠀⠀⠀⣼⠃⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⠤⠤⠤⣄⡀⠀⠀⠀⠀⠀⢠⠟⠀⠈⣧⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠇⣀⣄⣀⣝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠶⠛⠋⠉⠀⠀⠀⠀⠀⠀⠜⠛⠃⠀⠀⢀⣴⠋⠀⢦⡤⠼⠿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⠚⠉⠀⢹⡇⠀⠙⢦⡀⠀⠀⠀⠀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠁⢀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⢀⣠⣽⠳⣤⡀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠀⠀⠀⠸⣷⣤⣸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⠗⠒⠛⠉⢹⠀⠀⠀⠉⠑⠶⠦⣄⣀⣀⡀⠀⠀⢀⣀⣀⣠⠤⠶⠛⠉⠀⠀⢹⣦⣀⣀⠀⠹⣦⣹⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⣠⠤⡶⠆⠀⠀⠀⠀⠉⣏⠉⢹⡁⠀⠀⠀⢸⣧⣀⡀⠀⠀⢷⡄⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡞⠋⠀⠀⢻⡆⠀⠀⠀⣠⡾⠛⢧⣸⣧⡀⠀⠀⢸⡇⠈⠉⠛⠛⠛⠻⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⣠⡾⠋⠀⠀⠈⠋⠈⢳⡄⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠖⠀⠀⠀⠀⠀⠀⠈⢿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠒⣛⠿⣽⡿⠿⢈⣁⠤⠒⠒⠚⢋⠉⠷⣖⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⣫⡴⠋⣁⠔⠀⠁⠀⠈⡁⣰⣖⣊⠙⠲⣤⣈⠉⠻⢷⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠋⣾⠏⠀⠀⠀⠀⠀⠀⢀⣼⢶⣹⠁⠈⠳⣄⠙⢿⣷⣦⣀⠙⢻⣷⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠇⠁⠀⠀⠀⠀⠀⢰⡿⢣⣳⡇⠀⠀⠀⠙⣧⡈⣧⡹⣿⣗⣄⠙⣷⣿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡾⡞⠀⠀⠀⠀⠀⠀⢀⡾⢁⣾⢹⡇⠀⠀⠀⠀⠘⣿⣿⣧⠸⣿⣿⣣⡸⡎⢷⡙⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⢿⠁⢀⣴⠇⠀⠀⣠⢾⠃⣸⡇⣾⠀⠀⣠⣤⣄⠠⣼⣿⡟⣷⢻⢮⢿⣿⢿⡄⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⣾⡇⣠⢾⠋⣠⣶⣾⢿⣿⠀⣿⣤⣿⡾⡽⠟⠉⠀⠀⠉⢻⣿⢿⣿⣌⣿⣿⣿⡇⠻⣏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⠐⣵⣿⣿⢛⣽⣡⣼⣿⣿⣿⡷⣷⣊⠀⠀⠀⠀⠀⠤⢺⠟⢻⡿⣷⣿⣿⣿⣿⡠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⣿⢰⣿⣿⣷⡿⢛⣿⣿⡟⠋⠉⢧⠀⠉⠀⠀⠀⠀⠀⠀⣧⣠⣾⣧⠈⢹⣿⣏⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡇⣽⣋⣽⣿⣿⣿⡿⣟⡇⡇⢃⣠⣾⡆⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡟⠀⠈⣿⣟⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣿⣿⣿⣿⣿⣿⣷⢿⣻⡇⣿⣿⣿⠃⢀⠀⣠⣶⡿⣾⡛⠒⠻⠯⢤⣤⣶⣿⣿⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣽⣿⣿⣿⣿⣾⣿⣷⣽⣿⠧⠒⠉⠜⠛⠛⠊⣠⡿⠀⠀⠀⠖⠋⠈⣿⣿⣾⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣿⣏⣼⣿⣿⣿⣿⣿⡿⡿⣷⠫⠀⠈⠀⠀⠀⠀⠀⡤⠤⠀⠀⠀⠀⢀⣼⣿⣿⣯⣿⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⠿⣿⣽⣿⣿⣿⣿⣿⢿⣶⣽⣷⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⠾⠿⢿⣿⠉⠙⠿⣦⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠓⠹⣯⣿⣿⠿⣟⢿⡿⣿⡏⢉⡿⡿⠷⠦⢤⡤⠤⣤⣴⣟⣉⣀⣀⡀⠾⠃⠀⠀⠀⢸⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠺⢽⣿⢾⣿⣷⣈⣹⢮⡏⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠻⠉⠉⢲⣄⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣾⡏⠁⣸⣣⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⣠⣦⣴⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣶⣿⣇⠀⠘⢿⣥⣀⠀⠀⠀⠀⠀⣀⡀⢀⣠⣴⣶⣿⣿⣿⣯⣹⣞⠂⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⢷⣍⠳⢄⣈⣴⡟⠻⣶⣦⣤⣤⣬⠵⠿⠟⠋⠙⠁⢹⣿⣿⣯⠏⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠇⠀⢉⡹⣫⣿⠏⠀⢀⠞⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡽⠏⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠰⢖ ⠀⠀⠀⠀⠀⣿⠀⣠⡞⡰⠋⠀⠀⢀⡞⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⡜⠀⢰⠊⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⣠⢉⣾⠑⠀⠀ ⠀⠀⠀⠀⠀⢿⡜⢳⣿⡧⠄⠀⢀⣾⠃⢱⣀⢹⡀⠀⠀⠀⠀⠀⠀⢀⣀⣼⣷⣄⣬⣷⣢⡤⣼⣧⡀⠀⠀⢀⡀⠀⣘⣿⠟⠁⣀⠀⠀ ⠀⠀⠀⠀⠀⡾⣧⠊⠉⠻⣄⠀⣾⠏⠈⢙⣿⡄⢧⠀⠀⠀⢀⣤⣾⠟⣫⣿⡿⣟⠿⢿⠝⠙⠺⣿⡇⢀⣴⣩⠤⣾⠛⠁⠀⢈⠊⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠈⠻⢅⡀⢀⣎⡿⣷⡘⡆⢀⡺⠟⢋⡴⣋⣉⣷⣵⠘⣷⣈⠷⢦⡀⡏⠀⠈⠁⢀⡴⠋⠀⠁⠀⣯⠴⠀⠀ ⠀⢀⣤⣶⣶⣾⣿⡿⣦⣀⠀⠀⠀⣠⢾⢮⣴⣾⣷⣾⣥⡶⠊⠁⠈⠉⠙⡇⠀⣉⣹⣗⣙⣾⣿⣷⣶⣖⠚⠛⡢⠤⣀⠀⠀⠀⠀⠀⠀ ⢸⣟⡿⠿⢿⣿⣿⣿⣾⣽⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣍⣳⣤⣀⣀⣼⣕⣋⣥⣶⣿⣿⣿⣿⣿⣿⣿⣻⢭⣤⡰⠜⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠻⠛⠙⠛⠛⠭⠛⠛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⣛⠭⢿⣿⠿⢟⣿⣿⣯⡷⠟⢛⣻⣿⠟⢋⣫⢵⣛⣯⣽⣟⠫⠽⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠉⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠙⠛⠛⠛⠻⠿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣷⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⠋⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠹⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⡿⠃⠀⠀⣠⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠈⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⠀⠀⠀⠀ ⠀⣰⣿⣿⠁⠀⢀⣼⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⠀⠀⠀ ⢠⣿⣿⠇⠀⣴⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣇⠀⠀ ⣼⣿⡟⠀⢸⣿⣿⠟⠀⢀⣴⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡄⠀ ⣿⣿⡇⠀⠀⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⠀ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡀ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇ ⢹⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⢠⣾⣷⡄⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇ ⠘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⢀⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⠀ ⠀⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣷⣶⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠃⠀ ⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠃⠀⠀ ⠀⠀⠸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠃⠀⠀⠀ ⠀⠀⠀⠙⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢿⣿⣷⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⣠⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣷⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⢀⡴⠶⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⠉⠙⢷⡀⠀⠀ ⠀⣸⠁⠀⠀⠀⠈⠙⠶⣤⣤⣤⣤⣤⣤⣤⣤⠾⠋⠀⠀⠀⠀⠀⠘⡇⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀ ⠀⣸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀ ⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇ ⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⢻ ⢸⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⢀⣀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸ ⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾ ⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇ ⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠞⠁⠀ ⠀⠀⠀⠀⠉⠛⠓⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠖⠒⠛⠛⠉⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⢀⣴⠖⠛⣿⠀⠀⠀⠀ ⠀⣀⣀⠀⠀⠀⠀⢀⣠⡶⠟⠋⠉⠉⠉⠙⠻⢿⣋⠉⠉⠁⠀⢠⡟⠀⠀⠀⠀ ⢸⡍⠉⠙⠷⠖⢛⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠈⢷⡀⠀⠀⠀ ⠈⠻⡶⠄⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠘⣧⠀⠀⠀ ⠀⠀⡇⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⢻⡄⠀⠀ ⠀⠀⡇⠀⠀⠘⣇⠀⢠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⣿⠀⠀⠀⣿⡀⠘⠛⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣿⣀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⢹⡄⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠈⠙⢷⣄⠀⠀⠙⢷⡄ ⠀⠀⠈⣷⠀⠀⠀⣼⠷⣤⣀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠙⢿⡟⠶⠤⠟ ⠀⠀⠀⣼⠃⠀⢠⡟⠀⠈⢹⡟⠛⠛⢻⡇⠀⠀⠀⣄⠀⠀⠀⠀⠈⢻⡄⠀⠀ ⠀⠀⠀⣯⣠⡾⢻⡇⠀⠀⠈⣧⣴⠞⠛⠛⠛⠶⣤⣿⠀⠀⠀⠀⠀⠀⢻⡄⠀ ⠀⠀⠀⠈⠀⠀⠈⢷⣦⣴⠟⢻⡏⠀⠀⠀⠀⠀⠀⠙⠳⣦⣀⠀⠀⠀⠀⢻⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⣷⠀⠀⠀⠀⢠⡀⠀⠀⠀⠙⠷⠄⠀⠀⠈⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⢸⣇⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⢹⣆⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⢀⣼⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠹⣇⠀⠀⠀⠀⠹⣶⣤⣤⣤⠶⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⢹⡇⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢠⡟⠁⢀⣠⡴⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣤⡼⠷⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣠⠤⣖⣾⣭⡍⠉⠹⣿⣗⣦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠶⢶⣶⣿⡿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣾⣕⡦⣄⡀⠀⠀⠀⠀ ⠀⠈⣧⣧⣉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢹⣿⡿⣿⣿⣷⣯⣳⡀⠀⠀ ⠀⠀⠘⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠃⠀⣿⡆⠀⢹⣿⣿⠛⣷⡀⠀ ⠀⠀⡴⠉⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠆⠀⣿⣇⣸⣿⠟⠁⠀⠉⣧⠀ ⠀⠀⣷⠂⠀⠘⣮⠙⠛⠒⠒⠛⠀⠀⢠⡏⠀⢰⣿⣿⣿⠏⠀⠀⠀⠂⢸⠀ ⠀⠰⡏⠀⠀⢰⣿⣷⣤⣄⢀⣀⣤⡜⠋⢀⣠⣿⣿⣿⡟⠀⠀⠀⠀⠀⢸⠀ ⠀⢸⣇⡀⠀⠈⠛⢿⣿⣿⣷⣶⠯⢭⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢸⡄ ⠀⢺⣉⡍⢹⡆⠀⠀⠀⠉⠀⠈⠀⠀⠻⠛⠟⠛⠛⠋⣁⠀⠀⠀⠀⠀⣈⣿ ⠀⡟⠂⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠶⠤⠀⠐⠀⢸⡟ ⢀⣧⡀⠀⠀⢹⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠀⠀⠀⠀⢸⡇ ⣼⣃⡀⠀⠀⠻⠻⢿⣿⣷⣤⣤⣤⣄⣀⠀⣀⣀⣀⣴⡆⠀⠀⠀⠀⠀⢸⣇ ⣿⢀⠁⠀⢠⡆⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠃⠀⠀⠀⠀⠀⠀⡏ ⢻⡜⠳⢶⣼⣿⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⡇ ⢸⣿⡀⠀⠀⣿⣿⣿⣿⣿⢗⡶⢤⣤⣀⣀⣀⣀⣀⣀⡁⠀⠀⠀⠀⠀⠀⣿ ⠸⣏⢇⠀⠀⣿⣿⣿⣿⣿⠀⠉⠉⠉⠛⠾⣿⣿⣿⣿⣷⣤⣤⣤⡴⠤⢤⣿ ⠀⠘⢮⣁⣰⣿⣿⣿⡟⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⣸⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠸⡿⣿⡟⠁⣰⠇⠀⠀⠀⡀⣿ ⠀⠀⠀⡰⣻⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠹⡽⣿⡿⠋⢀⡄⠴⣚⡵⠛ ⠀⠀⣾⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⠖⠋⠉⠀⠀ ⠀⠀⠹⡽⣿⣿⣿⢏⠟⠀⠀⠀⠀⠀⠀⣠⢞⣽⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠉⠛⠉⠀⠀⠀⠀⠀⠀⢸⣱⣿⣿⣿⣿⣿⡿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⣿⡿⠿⠿⠽⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣴⠶⠶⠶⠶⠦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠶⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡅⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰ ⠀⠀⠀⠀⠀⠀⠀⠚⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⢀⡾⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⠃⠀⣠⡾⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠟⠁⠀⠀⠀⠸⣮⠙⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⣀⣴⠾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠹⣧⠀⠈⠙⠳⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠘⠟⠛⣛⣻⠴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⠃⠁⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠉⠙⠻⠿⠶⠶⠶⠶⢶⡟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⠃⠁⠀⠀⢀⡀⠀⠀⠀⠀⢸⡇⢀⣤⠶⠶⠲⠶⣤⣀⠀⠀⠀⢀⣠⣬⣛⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⠃⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠈⢿⡏⠁⠀⠀⠀⠀⠈⠹⣶⣤⠾⠛⠉⠁⠈⠉⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡏⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⢀⣠⣤⣺⡇⠀⠀⢀⣤⣤⣤⣀⣹⡗⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡾⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠈⠻⠶⢤⠴⠋⠡⣦⣹⣿⡀⢠⣿⣭⡶⠈⠙⠛⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⣷⢸⠃⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡏⠀⠉⠛⠳⢶⣦⣤⣤⣄⡀⠀⠀⠀⣼⡏⠸⣦⡀⠀⣠⣴⠞⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠻⠀⠀⠀⠀⠀⢠⡆⠀⠉⠛⠛⠻⠿⢿⡄⠀⠈⠙⠋⠉⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠲⢤⣀⡀⠀⠀⠀⢀⣠⣴⠾⠛⠁⢾⡄⠀⠀⠀⠀⠀⢸⠛⢷⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠈⢿⣄⣀⠀⣀⣠⠞⠀⠈⠻⠦⢴⡶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠉⠁⠀⠀⠀⠀⠀⠉⠉⠑⠲⢄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣶⣤⢤⣴⣾⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⣀⣠⠞⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠈⢢⡀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⡿⠿⠿⣿⠟⠋⠙⢿⣿⣵⡄⠀⠀⢰⣿⣿⣯⡀⠀⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠸⣿⣄⡀⠀⠀⠀⠀⠀⠱⡄ ⠀⣀⠀⠀⠀⠀⣿⣿⡇⠀⠓⠂⠀⠠⠠⣀⣿⣿⣿⣦⣴⣿⣿⣿⣿⡇⢠⣤⣴⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣶⣦⣤⡀⠀⠀⢳ ⣾⣿⣿⣦⣤⣀⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⠃⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠛⠁⠀⠀⠘ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣝⡛⠛⠛⠛⠛⣉⣠⣾⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⣤⣀⣀⠀⢀⣀⣤⢠⣄⣀⠀⠀⢀⣠⣶⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠐⢆⠀⠀⠀⠘⢿⣿⣿⣿⡿⠋⠀⠹⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⣿⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣯⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢰ ⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⣿⣿⣿⡄⠀⠀⠀⠻⣿⣿⡇⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠈⠿⣿⠇⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠘⠿⠿⠿⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⢀⠞⠀ ⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣦⠀⠀⠀⠸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⣿⣿⣷⣶⣿⣿⡿⠿⠿⠛⠋⣹⣿⡇⢰⡏⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠘⣿⣶⣤⣀⣀⣀⣀⣀⣤⣾⣿⣿⢧⣄⣱⠀⠀⠉⠓⠲⢦⡤⣄⣀⣠⣤⠤⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢠⡄⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠉⠛⠻⠿⠿⠿⢻⡀⠀⡐⣿⡧⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⣀⠀⠀⠀⠀⠀⠀⠈⠳⠖⢱⣃⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠲⠤⠤⠤⠤⠴⠚⣏⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠢⢤⣤⣀⣠⣤⣀⡀⢀⢀⣀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣠⢤⣖⣾⣭⣯⣿⣿⣿⣓⡦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢤⢶⣖⣶⣻⡿⣯⢻⣭⢻⡽⣯⢷⣻⣞⡿⣿⣿⣮⣕⡦⣄⡀⠀⠀⠀⠀ ⠀⠸⣯⣾⣹⣯⢟⡵⣏⡞⡧⣝⡞⣯⢷⣯⢿⣽⣿⣿⣿⣿⣶⣯⣳⡀⠀⠀ ⠀⠀⠘⣿⡿⣞⢯⣝⢾⡹⣜⠶⣩⢏⡿⣿⡻⡼⣿⣷⣿⣻⣿⣿⠏⣷⡀⠀ ⠀⢀⡶⢩⠿⣎⣷⢪⢇⡻⣌⢏⣗⣫⠽⣾⠳⣍⣿⣿⣽⣿⡟⣭⢻⡍⣧⠀ ⠀⠈⣷⢳⡙⡞⣯⡟⣛⠳⣛⡟⣣⢞⣽⣏⠳⣼⣿⣿⣿⡇⠞⡴⣋⣿⢸⠀ ⠀⠰⣏⣣⢚⣹⣿⣷⣧⣷⣱⣮⣽⡾⣛⣬⣷⣿⣿⣿⡿⡜⣏⠴⣃⢾⢸⠀ ⠀⢸⣇⣧⠌⡼⢻⢿⣿⣿⣷⣾⠧⣽⣿⣿⣿⣿⣿⣿⣜⠳⡜⢦⡹⡜⣼⡄ ⠀⢺⣸⣏⣻⣧⠃⡌⢈⠙⡐⠨⠑⠈⠿⠛⠿⢛⢛⠫⣭⢓⡜⢦⡱⣝⣎⣿ ⠠⡟⡞⢲⢹⣷⡣⠔⡈⠄⡀⠄⡀⠁⠠⢈⠐⡈⠢⣁⠿⡷⢮⠷⡽⢺⡹⡍ ⢐⣧⡟⢂⠣⣹⣿⣷⣌⠰⣈⠐⠠⣈⢁⠢⡐⢌⡱⣤⢿⣛⡞⣣⢝⡣⢟⡅ ⣾⣉⡆⢉⠆⣿⢻⣿⣿⣿⣶⣯⣷⣦⣏⣶⣽⣞⣶⣿⣏⠮⡙⠥⢎⡱⢫⣇ ⣿⣨⠃⢆⢨⡗⢦⢈⠛⠻⣿⢿⣿⣿⣿⣿⣿⡿⠿⠿⣏⠞⡩⡝⢬⠓⣇⡯ ⢻⡽⡿⣶⣿⣿⣷⣬⣂⡡⠀⠄⠠⡀⠄⠐⡀⠐⡁⠂⣿⠈⡕⠸⠦⡙⢆⣧ ⢸⣿⣳⢳⡼⣿⣿⣿⣿⠿⣟⡶⣥⣴⣀⣀⣀⣀⣄⣡⣛⡜⢌⠓⡌⠱⢊⡿ ⠸⡗⣧⡟⡼⣿⣿⣿⣿⣿⠀⠈⠉⠙⠛⠾⣽⣿⣿⣿⣷⣼⣦⣶⡾⣷⢯⣞ ⠀⠘⢮⣛⣱⣿⣿⣿⡏⣿⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⣟⢦⡓⣜⡲⣭⣟⣮ ⠀⠀⠀⠀⣹⣻⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠸⡿⣿⣟⠾⣼⣟⡲⣝⣳⣞⣳ ⠀⠀⠀⡴⣻⣿⣿⣿⣷⡏⠀⠀⠀⠀⠀⠀⠀⠹⣽⣿⡿⣟⢶⣯⢽⣛⡵⠛ ⠀⠀⣾⣻⣿⣿⣿⡿⣾⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⢿⠞⠋⠉⠀⠀ ⠀⠀⠹⡽⣿⣿⣿⢏⡟⠀⠀⠀⠀⠀⠀⣠⢾⣵⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⢸⣽⣿⣿⣿⣿⣿⡿⡾⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣟⡿⠻⠽⠽⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⡷⠶⠛⠋⠉⠉⠉⠉⠉⠛⠿⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣷⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⢰⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡇⠀⠀⠀⢠⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠇⠀⠀⣠⣿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⢀⣾⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠘⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠋⠀⠀⠀⠀⠸⣧⡛⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠙⣿⡤⠈⠻⠿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣦⣴⣴⡆⢀⣠⣶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⢃⡄⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡀⠀⠀⠈⠙⠻⠿⢶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠙⣉⣀⣤⣤⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⠿⠶⠶⠶⠾⢿⣿⡛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⢀⣤⣤⣴⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠗⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⢰⣷⠀⠀⠀⠀⠀⠀⠸⣿⣴⠾⠟⠉⠀⠀⠀⠉⠛⠿⣶⣀⠀⢀⣤⣶⠾⠿⠛⠶⠿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣾⠟⠉⠀⠀⠀⠀⠀⠀⠙⢿⣆⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⢹⣷⡀⠀⠀⠀⠀⢀⣠⣤⣤⣿⣇⠀⠀⠀⠀⣠⣤⣤⣤⣀⣀⣿⡟⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡄⠀⠀⠀⠀⠀⠀⠹⢷⣦⣀⣀⣴⠟⠋⢩⣉⠻⣿⡆⠀⢀⣾⣛⣹⡍⠉⠛⠿⠟⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠙⠛⠛⠻⣷⡀⣿⡟⠙⠛⠁⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⢿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⡀⠀⠉⠙⠛⠿⣶⣦⣤⣤⣤⣄⡀⠀⠀⠀⠀⣰⡿⠀⠹⣧⣀⠀⢀⣠⣴⡾⠟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⢿⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠈⠙⠿⠿⠿⣿⣿⢿⡇⠀⠀⠈⠻⠿⠛⠋⠁⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⣼⡟⠈⠁⠀⠀⠀⠀⠀⠀⢸⡗⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠹⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠉⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠲⢦⣤⣄⣀⣀⣠⣤⣴⠿⠛⠋⠁⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀⢸⡇⠸⣷⣀⠀⠀⠀⠀⣀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣀⣀⠀⣀⣀⣶⠏⠀⠀⠈⠻⠷⠶⣶⡾⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣴⣶⡀⣶⣶⣾⣿⣦⠾⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠷⣶⣿⣿⣆⣶⣦⣷⣦ ⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿ ⢠⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣧⡤ ⣿⣿⠿⠿⠋⠀⠀⠀⢀⣴⣿⡷⠀⠀⠀⠀⠀⠀⢸⣿⣧⡀⠀⠀⠈⠻⠿⠿⣿⣿ ⣿⠃⠀⢀⣀⣀⣤⣶⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣶⣤⣀⣀⡀⠀⠙⣿ ⣿⠀⠀⠸⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠿⠟⠀⠀⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⠀⠀⠀⠀⢰⣶⣤⣤⣀⣠⣤⣴⡶⢸⣶⣤⣄⣀⣠⣤⣶⡦⠀⠀⠀⠀⠀⣿ ⣿⠀⠀⢀⣠⣤⡤⣙⢿⣿⣿⣿⡿⠛⠀⠀⠛⢿⣿⣿⣿⡿⢋⡤⡤⣄⡀⠀⠀⣿ ⣿⠀⣰⡫⢕⠪⡪⢕⢕⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢞⡫⡺⡪⡪⢝⣆⠀⣿ ⢿⠀⢫⢝⢕⢕⡪⢕⢕⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣕⡪⡪⡪⡪⢕⡾⢀⡿ ⠈⠳⣌⠳⣕⣕⣪⡵⠃⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⠮⢮⣪⣪⠕⣡⠞⠁ ⠀⠀⠙⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠋⠀⠀ ⠀⠀⠀⠀⠙⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡶⠛⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠾⠹⠞⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠖⡉⠁⠄⢂⠰⢀⠂⣁⠂⠄⡀⠉⠓⠦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠞⢉⠀⠂⡄⢉⡐⡈⠰⡀⢡⠠⠌⡐⠈⠤⢁⠂⡈⠳⣄⠀⠀⠀⠀⠀ ⠀⢀⡴⠃⠌⡀⢊⠡⠐⡠⠐⠠⢁⠰⢀⠢⠐⡈⠌⡐⢂⠰⢀⠡⠈⢣⡀⠀⠀⠀ ⢀⡞⠀⡌⠐⡈⠄⢂⠡⠄⠡⢁⠂⠔⡀⠂⠅⠤⠁⠔⡀⠢⠐⡠⢁⠂⢳⡀⠀⠀ ⣼⠁⢂⠄⢃⠐⠌⠠⠂⠌⡁⠂⠌⡐⠠⠉⠔⠠⢉⠐⠠⠡⡁⠰⡀⠌⠠⢷⠀⠀ ⡗⠈⠄⠊⠄⠌⢂⠡⢁⠂⠡⠌⡐⣰⣿⠏⡠⢁⠂⠌⡀⣳⣿⡄⠐⠨⠐⣸⠆⠀ ⡷⠈⠌⢡⠈⠔⡁⢂⠡⠈⣴⣴⣾⠟⡃⠐⡀⠆⡈⠔⠠⠁⠛⣿⣾⣤⣁⢺⡃⠀ ⡷⠈⡐⠂⠌⡐⠄⢂⠂⡉⠛⡉⣿⣿⣿⣷⠀⢂⠡⠌⡀⣳⣿⣿⣾⠙⠡⢸⣅⠀ ⢻⡄⠐⡉⠐⠠⠌⠠⢁⠔⠡⠐⠻⣿⡿⠟⠀⠆⢂⠔⠠⠙⠿⠿⠟⢀⢂⡟⠘⠑ ⠈⢧⡃⠌⡁⠆⠡⡁⠎⣀⣧⠼⠤⠤⠴⠬⠬⠴⣆⡈⣅⣼⣤⣲⣬⣤⣼⢥⡀⠀ ⠀⠈⠳⡣⡐⡈⢡⠐⣸⠋⠀⡀⠂⢁⠂⡐⢀⠂⠀⡿⡇⠀⠀⠀⢀⠀⡀⢀⠘⢦ ⠀⠀⠀⢻⣧⣄⠃⠌⡏⢀⠂⠄⠁⢂⠐⠀⡶⠒⠛⠁⡉⠓⢾⠀⢂⠐⢀⠂⠄⢸ ⠀⠀⠀⠀⣷⣈⠙⠦⣿⡀⠈⠐⡈⠄⠈⣰⠃⠡⢈⣰⡴⠛⠙⢧⡀⠈⠄⠈⠀⠞ ⠀⠀⠀⠀⠈⣿⣦⣄⣀⠙⠲⠥⢤⠴⡞⣓⣾⠿⡛⣙⣿⣶⣤⣀⣙⠛⠒⣋⣀⣴
⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡶⠿⠿⠿⠿⠿⠿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⣄⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣀⣀⠀⠀⠈⠻⣦⡀⠀⠀⠀ ⠀⢀⣾⠋⢀⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⠂⠀⠀⠙⣷⡄⠀⠀ ⠀⣾⠇⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠆⠀⠀⠀⠀⠀⠸⣷⡀⠀ ⢸⡟⠘⠛⠁⣰⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀ ⢸⡇⠀⠀⠀⠸⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⢸⣧⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣤⠀⠀⣾⡆⠀⠀⠀⠀⠀⠀⢠⣿⠃ ⠀⣿⡄⠀⠀⠀⠀⠀⠀⢾⡇⠀⠀⢀⣿⣦⣤⡿⠁⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⠸⣧⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠈⠉⠀⠀⠀⠀⠀⠀⢀⣼⡟⠁⠀ ⠀⠀⠙⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣴⣿⠋⠀⠀⠀ ⠀⠀⠀⠈⠙⢿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠻⠿⠿⠿⠿⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⣀⣀⠄⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣜⡻⠋⠉⠒⠉⢡⡤⠤⣙⠓⢦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣱⠋⠀⠀⠀⢠⢞⡝⠈⠰⡌⢿⣦⣈⢳⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⠇⠀⠀⠀⢠⢇⡾⡇⠀⠀⠙⣾⣎⣿⣦⣫⢫⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡿⢠⡞⣠⣴⡟⢸⣸⣧⡴⠓⠘⢿⣿⣟⣺⣿⡇⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣻⡇⣿⣟⣽⣵⣿⠿⡿⠆⠀⠀⠀⢺⢛⡟⢿⣿⢿⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⣟⣽⣿⣷⣿⣷⣀⣷⠀⠀⠀⠀⠸⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣏⣿⡯⠄⠴⠿⢛⡍⠉⠰⠚⣿⣿⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⣿⣿⣿⣿⡿⣏⠀⠀⠀⠀⠔⠂⠀⣀⣴⣿⢯⡇⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠹⣿⣿⢿⣿⢿⢛⣶⠦⢄⡠⢠⣴⣊⣉⡹⠃⠀⠙⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⡟⢲⡿⠁⠀⠀⠀⠀⠀⠀⠉⠀⠱⢄⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⠁⣼⠃⠀⠀⠀⠀⠀⠀⣀⣠⣀⣴⡼⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⣗⣦⣈⡵⢦⣤⣀⡢⠶⠟⠛⢻⣿⡾⠀⠨⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡇⡠⡺⠛⠀⡜⢡⠀⠀⠀⠀⠀⢸⡿⠁⡠⠀⡇⠀⠀⠀⠀⠀⢀⠔⠃ ⠀⠀⢸⡞⣷⡇⠀⣴⢀⣌⠇⠀⠀⠀⢀⣬⣷⣤⣷⣤⣽⡄⠀⠠⢀⡼⠋⠠⠀ ⠀⠀⠈⢫⠀⠘⠾⡃⢀⣿⡜⠄⡰⢞⣭⣚⣯⢫⣙⢄⢸⠃⠚⣈⠏⠀⢠⠁⠀ ⣴⣶⣿⣿⣷⣦⣄⣴⣿⣾⣿⣿⠾⡁⠈⢩⡠⢌⣯⣽⣿⣿⡭⠅⣐⡄⠀⠀⠀ ⠉⠀⠘⠛⠛⠛⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⡷⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠋⠛⠉⠓⠋⠑⠊⠋⠉⠁⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠴⠀⢠⠀⢀⢦⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⡤⠄⣡⠉⠺⠀⠱⠁⠑⠁⠘⡤⠤⠙⡄⠀⠀⠀⠀⠀ ⠀⠀⢠⢀⣀⡇⠀⡠⠔⠊⠉⠀⠀⠀⠀⠁⠒⠄⡀⠸⠤⢀⡤⠀⠀ ⠀⣀⣀⢇⠀⡡⠊⠀⠀⢀⡀⠀⠀⠀⠀⢠⠄⡀⠈⠢⠀⠸⠤⢀⡀ ⠀⡨⠵⠌⡰⠁⠀⠀⣔⡭⠋⠀⠀⠀⠀⠈⢁⣪⣆⠀⠱⠀⢘⡗⠀ ⠀⡌⠰⢄⠁⠀⠀⢰⡟⠉⠱⡄⠀⠀⠀⣠⠃⠀⠻⡀⠀⠇⢀⣀⠝ ⢀⣈⠢⢸⠀⠀⠀⠸⠀⠀⠀⢸⡀⠀⠀⡇⠀⠀⠀⢳⠀⠰⢠⡈⠖ ⠀⠈⠰⠚⡄⠀⠀⠰⣀⢀⣰⣼⠁⡤⢤⡳⢤⣴⣄⠏⠀⡆⣀⣳⠀ ⠀⠰⠑⢲⠐⡄⠀⠀⠈⠉⠉⠁⠀⠀⣀⣀⣀⠀⠀⠀⡜⢔⠀⠈⠀ ⠀⠀⠀⠦⠒⡞⠢⡀⠀⢀⠄⠂⠉⠀⠀⠀⠈⠁⡠⠊⠐⡆⠁⠀⠀ ⠀⠀⠀⠀⠰⠀⠒⠈⠐⠠⠄⢀⣀⣀⠀⢤⠐⠉⣄⣀⣣⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠖⠉⢃⠀⡠⠓⡴⡀⢸⠁⠒⠚⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠘⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠒⠚⠉⠉⠉⠉⠉⠉⠉⠉⠛⠒⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⠆⢸⠄⠀⠀⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠏⠀⠓⠀⠀⠀⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀ ⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⣴⣾⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣷⣬⣤⢠⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀ ⠀⠀⠀⠀⡞⠄⠀⠀⣀⣴⠾⠿⠟⠻⠯⢤⣀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⢛⠛⠈⠃⠇⠀⠀⠀⠀⠀⣇⠀ ⠀⠀⠀⢠⡇⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣌⠠⠀⠀⠀⠀⠐⠀⣠⠴⠖⠛⠋⠉⠉⠉⠉⠙⠓⠒⠦⣅⡀⠀⠀⢸⠀ ⠀⠀⠀⢸⠰⡞⠁⠀⠀⠀⠀⣀⣤⣤⣀⡀⠀⠀⠀⠈⠳⡄⠀⠀⠀⣤⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⡁⠈⡆ ⠀⠀⠀⢸⣾⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⢳⠀⠀⡼⠁⠀⠀⠀⣀⣤⣴⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⢳⠠⠇ ⠀⠀⠀⢸⢹⡀⠀⠀⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠸⡆⢸⠃⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⢼⣸⠀ ⠀⠀⡔⠋⢩⡓⢦⢠⣤⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠂⣿⢸⠃⠀⠀⠘⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢀⡾⡏⠀ ⠀⠸⡁⠆⠀⠠⠀⢣⢿⣿⢟⡻⣛⠿⢿⣿⣧⣿⠏⠀⠀⣸⢇⣿⡀⠀⠀⢠⣤⣤⣤⣿⣿⣿⣿⣿⣟⢿⣿⢀⣠⠴⢾⡝⠀⠀ ⠀⠐⠣⣐⠠⠀⠠⡀⠀⠻⠆⣧⠸⡔⢆⣿⠿⠃⠀⢀⡰⠃⠘⠀⢧⠀⠀⠸⣿⣿⢿⡛⣟⢻⡛⣿⣿⣾⡿⠀⣀⠔⢸⠇⠀⠀ ⢠⡂⢄⠨⣉⢹⡛⡗⡶⣄⡀⠀⠀⠉⠁⠀⠀⣀⡴⠊⠀⠀⠀⠀⠈⠳⡀⠀⠘⠻⢷⣼⣴⣣⣮⠿⠟⠋⠀⠀⠀⡾⠉⠀⠀⠀ ⠀⠙⢮⡳⡉⠄⠻⣵⡱⢎⡝⣛⠶⣲⡒⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⣀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣁⢄⡠⣄⠀ ⠀⠀⠀⠁⠀⠀⠀⠈⡝⠾⢼⣥⣛⡴⣩⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣍⠟⣹⢻⡅⠀⠌⠀⡀⢰⢧⡏⠦⠑⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⣠⠼⠉⠉⠙⢦⡀⠀⢐⣀⣀⣐⣀⣀⣀⣀⣀⣄⡷⠮⠟⠚⠁⢇⠀⠄⢀⢀⡠⣬⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⡈⣀⡀⡼⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⣤⡄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⠋⠀⠀⢀⡙⣂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⢄⠀⠌⢡⡛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠵⠠⠐⠮⠃⠀⠀⠀⠀⠀⠀😭🥺😭
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠾⠟⠛⠛⠛⠛⠷⢶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀ ⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀ ⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀ ⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀ ⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⣀⠀⠀⠀⣀⠀⠈⠹⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣤⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀ ⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀ ⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀ ⠀⠀⠀⠙⠿⠶⣾⢶⣶⣾⣦⣤⡾⣦⣄⣤⡿⢷⣦⣀⣠⡴⠿⣦⣠⣴⢷⣤⣴⠿⣶⣶⠿⠶⠾⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡇⣿⠄⠀⢸⡇⠀⠀⠀⣿⢸⡇⠀⠀⠀⣿⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⣷⡏⠀⠀⢸⡇⠀⠀⣸⡏⣾⠇⠀⠀⢠⣿⠀⢹⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⢻⡇⠀⠀⢸⡇⠀⣰⣿⠀⡿⠀⠀⢀⣾⡇⠀⠘⣷⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠈⣧⠀⠀⡿⠁⣰⡏⣿⠀⡇⠀⠀⢸⣿⠀⠀⢀⣿⣇⠀⠀⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⢀⠀⣿⠀⣼⠇⠀⣿⢸⡇⠀⣧⠀⠀⢸⡟⠀⠀⣸⠏⢿⡄⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣿⢀⣿⠀⠀⣿⢸⡇⠀⢿⡄⠀⢸⡇⠀⢠⡟⠀⢸⡇⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⢀⡏⢸⣿⠀⠀⣿⣾⠀⠀⣸⣧⠀⠸⣧⠀⢸⡇⠀⢸⡇⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⣾⠃⢸⠹⣧⠀⢿⣿⠀⠀⣿⠹⣧⠀⢻⣆⢼⡇⠀⣾⠃⣸⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⢃⣸⣏⠀⢸⠀⠹⣧⠈⢿⡄⠀⡇⠀⠙⣷⣄⠻⣿⡇⣴⠏⣰⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣧⡾⠋⣿⠀⢸⡇⠀⠙⢷⣜⣷⡄⣿⠀⠀⠸⣿⢷⣽⣷⣟⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢻⡇⠸⣿⠀⠀⠀⢹⡏⠀⣿⠀⠀⠀⢹⣆⢸⣯⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⢿⡆⠀⠀⢸⣧⠀⣿⡄⠀⠀⠀⢿⡄⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣤⣿⡄⠀⠀⢿⡄⢹⡇⠀⠀⠀⠀⢻⣎⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠃⠀⠀⠈⣿⡈⣿⡀⠀⠀⠀⠀⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⣀⣀⣀⣀⡀⢀⠀⣤⣠⣤⣤⣤⡤⢤⣤⡄⣤⠀⠀⣠⠤⣤ ⠐⠃⢛⡛⠛⡓⢛⡛⠚⠘⡛⠛⢛⠛⠛⠓⡘⠚⠓⠛⠃⠃⠀⠀⠒⢛⠛⠓⠛⢂⢋⠐⠓⠚⠑⠒⠚⠛⡃🪼🪼
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠈⠉⠒⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡞⠙⢷⣦⡀⠉⠓⠒⠤⣀⠀⣀⣀⠔⠊⠁⠀⠀⠀⠙⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠁⠀⠀⠙⣷⣦⣤⣤⣦⣌⣉⣀⡀⣠⣴⡾⠋⠉⢣⠀⢱⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠈⡇⠈⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⢸⣀⣀⣠⣾⣿⣿⠟⠋⢿⣿⣿⣿⣯⣀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⣠⠖⠒⠒⠒⠒⠚⠀⣸⣿⣿⣿⡿⠋⠀⠀⠀⠈⠻⣿⣿⣿⣯⣳⢶⣵⣶⣴⡃⠀⡇⠀⠀⠀ ⠀⢀⡖⠋⠁⠀⠀⣀⣄⡀⠀⣼⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣤⣿⣿⣷⣽⣻⣽⣿⣿⣿⣷⠀⢳⠀⠀⠀ ⢠⠃⠀⠀⠀⠀⢰⠋⠉⡇⣰⣿⣿⡿⠉⠻⠟⠃⠀⠀⠀⢰⡿⣿⣿⠿⣹⣿⣿⣿⣿⣿⣿⡆⠘⡆⠀⠀ ⡏⠀⠀⠀⣠⠖⠛⠒⢾⣥⣿⣿⣿⡏⠀⠀⠀⠀⢴⣲⡄⠀⠈⠉⠀⣼⣿⣿⣿⣿⣿⣿⣿⣻⠀⠙⡄⠀ ⡇⠀⠀⡾⠁⠀⢀⠀⢆⣯⢻⠉⠛⠛⠀⢀⡀⡀⠼⣅⠀⠀⠀⠀⠀⢿⢿⣿⣿⣿⡿⠟⢯⣽⡆⠀⠑⡄ ⡇⠀⠀⣿⠀⠤⣌⠷⠊⠙⠺⡀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠒⠒⠊⠀⠀⠀⠉⠀⠉⠙⢷⡩⢖⣿⠀⠀⢹ ⢳⠀⠀⠈⠳⡖⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⠀⠀⡸ ⠈⣇⠀⠀⠀⠳⢀⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣴⣾⣯⣿⣿⣶⢦⡤⣠⢼⢿⠿⠁⠀⡊⠁ ⠀⠈⠓⢄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡴⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠛⠛⠛⠛⠳⠶⣤⣄⠈⠉⠙⠛⠳⢦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⢠⠞⢱⠀⠀⢠⠤⡍⠻⣦⡀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠟⠁⠀⢔⠑⢄⡀⠧⠔⠁⠀⠀⢸⠀⡇⠀⠈⢿⡄⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠃⡀⠀⠀⠀⠑⠄⠅⠀⠀⠀⠀⠀⠈⠒⠁⠀⠀⠀⠻⣆⣀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⡟⠑⠶⠃⢀⣴⣦⣄⠀⠀⠀⣠⡶⢶⣄⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢶⣄⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀ ⠀⢠⡟⠀⠀⠀⢰⡟⠁⠀⢻⣦⣤⣴⡟⠀⠀⠙⢷⡄⠀⠀⠸⢄⡈⠐⡄⠀⠀⠙⢷⡀⠀⠀⢻⡄⠀⣠⣦⣤ ⠀⣿⢡⣤⣄⣠⡟⠀⠀⠀⠘⠛⠛⠛⠀⠀⠀⠀⢈⣿⣦⣤⡄⠀⠈⠉⠀⠀⠀⠀⢸⡇⠀⠀⠘⣷⣰⡟⠻⣿ ⣸⡇⢨⣤⣤⣿⠃⠀⢸⡷⠀⣼⣷⡄⢸⣷⠀⠀⠸⠿⢿⣶⡄⠀⠀⠀⢠⠖⢢⠀⢠⡇⠀⠀⠀⣿⠿⣿⣿⠏ ⣿⢀⡀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠰⣅⡴⠁⠀⣸⠇⠀⠀⠀⢸⣧⡿⠃⠀ ⣿⠤⠸⠂⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⢸⡇⠀⠀⠀ ⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⠇⠀⠀⠀ ⣿⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⣀⠀⠸⣇⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⢻⡄⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⢠⡊⣡⠜⠃⠀⢹⡆⠀⠀⢠⡿⠀⠀⠀⠀ ⠘⣷⠀⠀⠀⠀⣽⠟⣿⣀⣀⣀⣀⣀⣴⠾⣖⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣼⠃⠀⠀⠀⠀ ⠀⢻⣖⢂⡆⠀⠙⠿⠋⠉⠉⠉⠉⠙⠿⡼⠏⠉⠀⠀⠀⠀⣖⠐⠢⢄⠀⠀⠀⠀⣸⡇⠀⣰⡏⠀⠀ ⠀⠀⠀ ⠀⠀⢻⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠊⠀⠀⢀⣴⠟⠀⣰⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣧⡀⠀⠀⠀⡎⠱⡄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡶⠾⠛⠁⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣦⣀⠀⠘⢆⡸⠀⠀⠀⢠⠋⣠⠃⠀⠀⣠⡾⠋⠀⠀⠀⠀⣠⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠳⢦⣤⣀⡀⠀⠀⠈⠉⠀⠀⢀⣴⠟⢀⣀⣤⣤⠶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠶⠶⠶⠾⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⣯⡿⣝⣯⠿⣽⢯⣟⡿⣻⣟⣿⣿⣿⢿⣿⣿⣿⣿⣻⣿⣶⣾⣷⣬⡁⠈⢀⣀⣵⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⢌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢯⣽⢯⣟⢾⣵⣻⡽⣾⡽⣽⣳⢯⣟⣿⣿⣯⣿⢾⣿⣿⣟⡾⣯⢿⣿⣿⣿⣷⣤⣿⡇⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠠⠁⠊⠀⠁⠀⠀⠀⠀⠀⠂⠘⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣏⣿⢯⣿⢾⣟⡾⣳⣟⣳⣟⡷⣯⣟⣾⣿⣿⣿⢾⣿⣟⡾⣿⣿⣽⣿⣿⣏⣿⣿⣿⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡳⣞⣿⣿⡯⣿⢾⣽⣳⢯⡷⣯⣟⣷⣻⣽⣿⣿⣿⣿⡽⣯⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⣀⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢯⣗⣻⣿⣟⡾⣽⢿⣛⣾⡽⣯⢟⣷⣻⢾⣽⣿⣿⣞⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣶⠿⣻⠿⠛⢹⣿⢿⠟⠛⠉⠐⣌⢻⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣝⣾⣿⡟⣼⣻⣏⣿⣹⢺⣟⣵⣫⣶⡿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⢀⣠⣴⡾⢋⣽⣿⣯⣿⠋⡔⠉⣼⣿⠇⠀⠀⠀⠣⢌⣻⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣽⣿⣟⢾⣿⡵⣯⢾⣱⣯⣿⣷⢯⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣴⣿⣿⣿⣿⠃⢌⠀⢰⣿⡏⠀⠀⠀⠀⠱⢨⠼⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣻⣿⣿⣯⢿⣿⣟⣯⣿⣯⣿⣿⣿⣯⣿⣟⣿⣿⣳⣿⣿⣿⣈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⣿⢣⠘⣀⡞⢸⣿⠁⠀⠀⠀⠀⢀⠃⢾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣻⣽⣿⣿⣯⢿⣿⣻⣾⢿⣿⣽⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⣿⢋⢆⠃⣾⠀⣸⡟⠀⠀⠀⠀⠀⠀⠎⡽⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⣽⣿⣿⣿⣯⣿⣿⣏⣿⣿⢿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⢯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⢿⡿⢣⢍⣢⣭⡇⢀⣿⢃⠀⠀⠀⠀⠀⢈⢒⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⡟⢰⣿⢾⣿⣯⣷⣿⣿⣿⣞⣿⣿⣿⣿⣦⣛⢿⣿⣿⣿⣿⣿⣿⣽⠏⠉⠗⣚⣩⣾⠟⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣷⣿⡏⢠⠃⢸⡟⠰⠀⠀⠀⠀⠀⢌⣺⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡿⠀⣾⡏⣿⣿⡷⣿⣿⣿⣿⣧⣧⣼⣿⣿⣿⣿⣶⡹⢿⣿⣿⣿⣿⡸⢄⠉⠉⡙⣉⠡⣚⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣇⡞⠀⣼⠁⠁⠀⠀⠀⠀⠈⡴⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠁⢸⡟⠀⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣟⠻⢾⣫⣼⠗⠀⠙⢟⡻⣿⣷⡂⠀⠀⠐⠀⠂⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⠃⣿⣿⠟⠀⢠⡇⠀⠀⠀⠀⠀⠀⣘⡾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⢀⣿⠁⠀⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣬⠉⡒⠋⠁⠀⠀⠀⣤⠙⠌⠻⢆⡀⠀⠀⢀⣰⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠋⠀⠀⣸⠁⠀⠀⠀⠀⠀⠐⣼⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢀⣾⠏⠀⢰⡿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⢡⣁⡀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠤⠚⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⠇⠀⠀⢠⠇⠀⠀⠀⠀⠀⢀⣹⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣾⠟⠀⢀⣾⣟⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢎⣀⣀⠄⠀⠀⣤⣠⣤⡀⠀⠀⠀⣠⡿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠏⠀⠀⢠⠏⠀⠀⠀⠀⠀⠠⣜⡾⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣟⡞⠀⠀⣼⣿⣞⡿⣾⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⠉⠉⠀⠀⢀⡼⢏⣵⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠣⠋⠀⢀⣴⠏⠀⡄⠀⠀⠀⣀⢳⡞⠀⢿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣟⣷⣇⢀⣼⠏⢸⢾⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡲⢤⣄⣀⣠⠖⣏⣱⣾⣿⣿⣿⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠓⢶⣾⠟⠁⠀⡜⠀⠀⠀⡰⣬⠟⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀ ⠀⢠⣾⡳⠋⢸⢾⡾⡟⠀⣾⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣃⢎⠲⣁⠏⣴⣿⡿⢻⢽⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⠈⣆⠀⠀⠀⣠⠞⠀⠀⢀⡰⣳⠋⠀⠀⠀⠀⠘⠆⠀⠀⠀⠀⠀ ⣰⣻⠞⠀⢀⣼⣿⣿⠀⢰⣟⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⡜⣻⣆⠣⠜⡒⢼⡿⣈⠗⣚⣏⠿⣼⣿⡿⣿⣿⣿⢿⣙⢮⡿⠃⠀⠈⠒⠶⠾⠋⠀⠀⢀⢦⡟⠁⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀ ⡗⠁⠀⣠⡾⢃⣽⡾⣧⡾⣽⣯⣿⣿⣿⣿⣿⡿⠻⠿⠿⣿⣿⣿⣿⣿⣿⣯⣇⠎⡴⢡⢎⠳⡜⢺⣄⢛⣦⢙⡴⢪⠜⣆⣛⣷⣿⣿⣟⢣⠎⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⡄⣯⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀ ⠀⢀⣾⢋⣴⠟⠁⠻⣽⡿⣿⣾⣿⣿⡟⠉⠉⢿⣄⠀⡸⠛⢉⠛⣿⣿⣿⣷⣮⣛⠍⠲⢌⠣⡜⡄⠛⡷⢏⠲⡌⣧⣻⠞⣋⢶⣿⣿⣏⠆⠁⠀⠀⠀⠀⠀⠀⠀⠀⡄⣳⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀ ⣴⣿⣵⠟⠁⠀⢀⣼⣿⣿⢷⣿⣿⡟⠀⠀⠀⠀⠙⣏⠀⠁⢢⡀⠸⣿⣿⣿⣿⠿⣿⣷⡾⠶⢶⣌⢓⡰⢊⣕⡾⢛⠤⡙⡔⢺⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡄⣣⣼⡏⢽⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀ ⠟⢏⠀⠀⠀⢀⣾⣿⣟⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠸⡄⠀⠀⠈⠂⣿⣿⣿⣿⣿⣷⣤⡙⣷⣬⡘⠳⠐⢃⠌⡰⢉⠆⡱⢈⣽⣿⡎⢿⡆⠰⣇⠀⡀⢄⠢⣍⣶⣿⣿⡅⢺⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀ ⠀⠀⠉⠒⢀⡾⠛⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢠⣿⣿⣿⣇⢻⣿⣿⢿⣾⣿⣷⠀⠁⠂⠌⢀⠁⠂⠁⢰⣿⣿⣷⡈⢻⡄⢹⡖⣈⠦⡿⣾⣿⣿⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀ ⡰⢪⡕⡴⠃⢠⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⡀⣼⣿⠟⣹⠇⠀⢿⣿⠀⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠘⠆⣻⣿⣿⣦⣽⣾⣧⣝⣾⣷⢻⣿⣿⣿⣿⣷⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀ ⢡⣣⠞⠀⣰⣿⣿⢋⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡿⠟⠊⠁⠀⣠⣿⣏⣾⣿⣾⡿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⡞⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠀⠀⠀ ⠚⠁⠀⢀⣿⣷⠏⣼⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⢀⣠⣶⢿⡟⠀⠀⢀⠄⢊⣿⣿⣿⣿⠟⠛⠉⠁⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⢿⣿⣿⣷⡀⠀⠀⠀⠀⠒⠛⠛⠁⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⣟⣴⣿⣿⣿⣿⣿⡏⠀⠀⠀⣀⣤⣾⣿⠟⣉⢾⠇⠀⠐⣁⢶⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⡆⠈⢻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⣟⣾⣿⣿⣿⣿⣿⣿⣿⠇⢀⣤⠾⠛⠋⠁⠀⠈⡔⣾⠖⢀⠜⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⢄⡀⠻⣿⠙⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⣟⡷⣯⣿⢿⣿⣿⡿⣿⣿⣿⡴⠋⠀⠀⠀⠀⠀⠀⠐⣸⡿⠀⠘⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢿⣷⡀⠀⠻⡷⣄⠀⠀⠀⠀⠀⠀ ⡸⠋⠉⠙⢣⣿⣿⣿⣇⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⢰⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡝⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⣦⡘⣧⡀⠀⠉⢌⠳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⢾⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠘⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⠌⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⡛⠁⢣⠀⠀⠀⠡⡘⢆⠀⠀⠀ ⣦⣀⣀⣤⢾⣿⣻⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⣲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⡚⡌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠘⢸⠀⠀⠀⠀⠐⣌⡆⠀⠀ ⢿⡟⠏⠻⢿⣷⣻⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡝⡔⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣼⡇⠀⠀⠀⠀⢸⡷⠀⠀ ⡏⠀⠀⠀⠀⠙⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⢁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡹⢬⡁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡇⠀⠀⠀⢀⣾⣿⠀⠀ ⢇⡀⠂⠀⠀⠀⠈⠙⠿⣯⠀⠀⠀⠀⠀⠀⢀⠑⡂⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡘⣽⡝⢦⡃⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣺⣿⣿⣷⣄⠀⢀⣾⣿⡇⠀⠀ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⣄⠀⠀⠀⠀⠠⢃⡕⢺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡑⢼⡟⡼⣩⠿⣦⡡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⣌⣷⣿⣿⣿⣿⣿⣶⣿⣿⣿⠁⠀⠀ ⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡈⢳⡄⠀⢠⠡⢣⠜⣹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠣⣹⢾⡙⠶⡡⢞⡩⢷⣯⡰⠡⢄⠠⣀⠀⡄⢠⢂⡜⣬⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀ ⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⢄⢻⡄⢣⠜⣡⢞⣿⣿⣷⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠘⢤⡷⢏⢧⡙⣣⠕⡪⠜⡡⢞⡹⠿⣮⣵⣦⣹⣬⣷⣾⣾⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀ ⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠐⡈⢦⡙⢦⡙⢦⣻⢡⣿⣿⣿⣦⣐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⣈⣦⢽⢫⠜⡩⢆⡱⢢⠙⠄⠃⠁⠊⠔⢫⠔⢦⠣⣝⢲⣿⠿⣿⡅⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀ ⣿⣿⣿⣇⢤⠀⠀⠀⠀⠀⠀⠀⢈⠒⡜⢦⣹⣳⣿⣿⣿⣿⣿⡿⢠⣷⠶⢤⣤⣀⣀⣀⣄⣠⣤⣬⠶⢓⢋⠆⢣⠊⠌⠑⡀⠂⠁⠈⠀⠀⠀⠀⠈⠐⣊⠦⡙⢦⣿⣿⣨⣿⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀ ⣿⣿⣿⣿⣿⣶⢄⡀⠀⠀⠀⠀⠠⢩⢜⣣⢷⢃⣿⣿⣿⣿⣿⣇⣿⣿⣧⠀⠀⠈⠉⠉⠈⠁⠀⠀⠐⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⢎⣹⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠙⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣧⣿⣦⣿⣥⣤⣀⣀⠂⡇⣞⣼⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⠛⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣨⡿⢻⣿⣿⠏⠀⣸⣿⣿⣿⣿⣿⡿⠀⣿⢿⣿⣿⣿⣿⣿⣿ ⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⣾⣾⣿⣯⣿⣿⣿⣏⣼⡿⠛⠙⠁⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠱⣿⣿⣿⡿⣏⠀⣰⣿⣿⣿⣿⣿⣿⡇⠀⡿⢸⣿⣿⣿⣿⣿⣟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢰⣿⡿⠟⠛⢫⡹⠖⠉⠁⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⣿⡿⢻⡇⠉⣹⣿⣿⣿⡟⣿⣿⡿⢀⣼⣡⣿⣿⣿⣿⣿⣿⣯ ⡿⢿⠟⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⣁⡤⠒⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣿⣿⡀⠘⢛⣿⣿⣿⣿⡟⢀⣿⣿⣅⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⣿⣿⢰⣿⣿⣿⣿⣿⠛⢣⠐⢌⣖⠡⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⠂⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⠙⢿⡿⠿⣻⣿⣿⣿⠟⣠⣿⡿⣻⣿⣿⢟⣋⣱⣿⣿⣿⣿⣿⣿ ⣿⢿⢿⣿⣭⡿⠃⠄⠀⡠⠈⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⣹⣾⣿⣿⣿⣿⣾⠿⠋⠀⠹⡸⣏⡉⠉⣿⣿⣿⣿⣿⣿⠋ ⡟⠁⢸⡾⠋⠀⢡⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢽⠂⢀⣼⣿⠟⠉⠉⠋⠉⠀⠀⠀⣆⣠⠇⠀⠀⣼⣿⣿⣿⣿⣿⣧⡀ ⣇⠀⠋⠀⠀⠀⡺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡃⢻⡇⢸⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡿⠏⠉⠉ ⣿⡀⠀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠌⡑⣇⠘⣿⠈⢆⡀⠀⠀⠀⣀⠀⠀⣀⠤⣊⡽⢟⠿⠛⠉⠁⠐⠠⠀⠀

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

⠀⠀⣀⡤⠖⠒⠒⠦⣄⠀⠀⢀⡤⠶⠒⠲⠤⣄⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠈⢷⣰⠋⠀⠀⠀⠀⠀⠈⢧⠀ ⢠⡇⠀⠀⠀⠀⢰⣿⣦⢸⡏⢰⣶⣶⠀⠀⠀⠀⢸⡆ ⠀⣇⠀⠀⠀⠀⠈⠛⠉⣸⢻⡈⠙⠋⠀⠀⠀⠀⣸⠃ ⣰⠋⠢⣄⣀⣀⣀⣤⠞⠁⠀⠑⠤⣄⣀⣀⡤⠞⢳⡀ ⡏⠀⠀⠀⢌⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢠⠀⣧ ⣇⠘⢄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⢁⡏ ⠘⢦⣀⠀⠀⠘⠲⣄⡀⠀⠀⣀⡤⠖⠁⠀⠀⣠⠞⠁ ⠀⣠⠼⢛⡷⣲⣶⠶⣿⣶⣾⡯⢤⣴⠶⡖⠯⣅⡀⠀ ⠾⡅⢀⡞⢠⣿⡿⠀⢿⣿⣿⠇⠸⣿⣇⠙⡄⠀⡽⠀ ⠀⠑⢾⢀⣾⣿⠇⠀⢸⣿⣿⠀⠀⣿⣿⡄⢹⡖⠃⠀ ⠀⢠⡞⣉⣙⠛⢓⡒⠚⣻⡛⠓⢒⠛⠛⣛⠛⣧⠀⠀ ⠀⠀⠉⠉⠈⠛⠋⠉⠚⠁⠙⠚⠉⠛⠊⠉⠉⠉⠀⠀
⣯⣜⢣⠞⡴⣡⠒⡄⠢⠐⠀⠀⠀⠀⠀⠀⠄⠂⠐⢂⠆⡱⡘⢆⡳⢜⣣⣷⣾⣿ ⣿⣟⡷⣏⡳⢥⡓⡘⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠌⢲⣉⠞⣬⣿⣿⣿⣿⣿ ⣿⣿⣖⣿⣗⠠⢃⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠘⠠⠜⢸⣿⣿⣿⣿⣿⣿ ⡿⠿⢋⠉⠡⠐⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⢊⠈⠉⠛⠻⠿⢿⣿ ⡐⢆⠣⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠆⡱⠄⡤ ⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣗⠆⠀⠀⠀⠀ ⠀⠀⡜⡱⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⢻⡅⠂⠘⠀ ⠀⠐⢠⡑⠈⠦⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠭⢀⠀⠀ ⠀⠌⠐⣎⠀⠀⠠⢀⠂⡘⠳⠤⣀⣀⡀⣀⡠⢔⣌⠒⠉⠁⠀⠀⠀⢸⡇⠄⠂⠀ ⠀⠀⠡⡘⠄⠀⠀⣀⠤⡠⢔⡤⣄⡉⣅⢃⡌⡀⠤⠠⡤⠀⠀⠀⠘⣎⡇⠀⠀⠀ ⠂⡄⠀⠀⠐⠢⠶⠋⡛⠛⣙⠚⠛⠺⠖⠻⠛⡝⢻⣻⠿⣶⣆⣀⠀⠇⠁⠀⠀⣠ ⢈⠁⢱⣤⣌⠁⠀⠉⠆⡡⢄⡈⢒⢀⠂⡄⢣⠐⡡⢂⠽⠤⡉⠉⠌⠀⣉⣴⣾⣿ ⣿⣶⣿⣿⣿⣷⡄⢀⡐⠠⢈⠒⡅⣊⡔⣀⠢⠁⠆⠃⠈⠐⠀⣠⣶⣿⣿⣿⠛⠹ ⣿⣿⠏⣿⣿⣿⡄⠀⠐⠢⢄⣦⣠⣀⠌⢠⣀⣄⣀⣀⣤⣴⣾⣿⣋⣿⣿⣿⡄⢀ ⠋⣹⣷⣿⣿⣿⣿⡏⠀⠀⠀⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⠃⢉⣼⣿⣿⣿⣿⡇⠀ ⠂⣿⡟⢿⣿⣿⣿⣿⣿⡄⣠⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣷⣿⣿⢿⢿⣿⣿⣷⣶
───▄▀▀▀▄▄▄▄▄▄▄▀▀▀▄─── ───█▒▒░░░░░░░░░▒▒█─── ────█░░█░░░░░█░░█──── ─▄▄──█░░░▀█▀░░░█──▄▄─ █░░█─▀▄░░░░░
( ꩜ ᯅ ꩜;) ᵎᵎᵎᵎᵎᵎᵎᵎᵎᵎִ ࣪𖤐
Me when I actually make a kaomoji: /\ /\ ( ・V・ ) It’s ALIVE! IT’S ALIIIIVE!! _ /\__/\ \ l )’ ‘) \ .-’ / O | (,_,/’i,_,)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⠉⠉⣀⣠⣤⣤⣴⣶⣶⣶⣶⣶⣶⣦⣤⣤⣀⣀⠉⠉⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠒⠉⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠉⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠉⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠈⠢⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠜⠁⣠⣾⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢿⣿⣿⣿⣿⣿⣿⣷⣀⠈⢢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠋⢀⣴⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣦⡀⠱⡄⠀⠀⠀⠀ ⠀⠀⠀⡰⠁⢠⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣷⡄⠘⣆⠀⠀⠀ ⠀⠀⡰⠁⢰⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢀⣤⣶⣾⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣿⣶⣦⡀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⡄⠘⡆⠀⠀ ⠀⢰⠃⢠⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡀⠸⡀⠀ ⠀⡎⠀⣾⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣇⠀⢧⠀ ⢰⠃⢰⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠸⠀ ⠸⠀⣸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⡇ ⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⡇ ⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣶⣶⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⡇ ⠀⠀⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⡇ ⢸⠀⢹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⠿⠛⠛⠛⠛⠛⠻⠿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠃⢀⠁ ⠈⡆⠈⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠀⣸⠀ ⠀⢳⠀⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠇⢀⡇⠀ ⠀⠈⢆⠈⢿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢠⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡟⠀⡼⠀⠀ ⠀⠀⠘⣆⠈⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠸⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠿⠆⠀⠀⢀⣾⣿⣿⣿⣿⣿⡟⠀⡸⠁⠀⠀ ⠀⠀⠀⠈⢆⠈⢻⣿⣿⣿⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⠏⠀⡴⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⠣⡀⠙⢿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⡿⠁⢀⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢆⠀⠙⢿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⡿⠋⢀⡴⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⢤⡀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⣠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⢄⡀⠉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠋⠉⣀⡠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣀⢀⣀⠉⠉⠉⠉⠉⠉⠉⠉⣀⡀⣀⠤⠖⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣟⡿⣻⠿⣽⣻⢯⢿⡹⣯⣟⣿⠿⠛⠉⠁⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠾⣷⣦⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣷⡈⠗⣨⢴⣋⠶⣉⠞⣬⢣⡝⣢⠝⣢⢝⣢⠓⣬⢢⠱⡘⠆⣣⣺⣿⣿⠿⡛⣥⠚⠴⣡⠒⡌⢦⡱⢈⠦⡱⢌⡒⠤⣃⠖⣌⢢⡑⠦⣘⠢⣑⠢⡜⣰⢃⢎ ⣏⣿⣹⣏⣷⣯⣛⣷⣻⣝⣫⣥⣴⣶⣾⣿⣿⣯⣭⣉⠉⠉⠙⠛⠓⠶⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠋⠁⠀⠀⠘⣿⠀⠀⠀⠀⠘⣿⣿⣟⣿⣻⣿⣿⣴⣿⡑⡞⡬⣏⡝⡺⡔⢣⢎⡵⢪⡱⢎⢦⡙⢤⢃⣧⣽⣾⡿⣿⠟⣢⢃⡗⣆⢫⣓⢤⢋⠴⢣⡱⣉⠖⡱⢊⠼⡱⣌⠲⡌⣆⡙⢦⢡⠏⢲⢡⢓⣬⢏⠒ ⣟⣷⣻⣞⣳⢯⣯⣟⡟⣯⣟⡭⢷⣻⡼⣞⡶⣏⡿⣟⣿⣶⣤⡀⠀⠠⣤⣀⣬⣝⣳⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠙⣿⣿⣟⣿⣾⣿⡿⣿⢿⣮⡵⣚⠼⡱⣍⠳⣎⡜⣣⠝⣌⣶⣼⣶⣿⡿⣟⣿⣿⣏⠚⣥⢋⡼⣌⠳⡌⢮⡙⣎⡕⣢⠕⣪⢅⢫⠰⡱⠜⢒⡨⢄⢩⡘⠢⡙⢆⠣⣍⡰⣊⠱ ⣿⢶⣻⣞⣭⡿⣞⡾⣽⢾⣹⢟⡯⢷⣛⡷⣽⢫⢷⣻⣎⢿⡽⣿⣷⣤⡈⠙⠲⢤⣀⣀⠀⠀⠉⠉⠛⠲⠆⠀⠀⣤⣤⣾⣿⠿⠟⢿⣧⠀⢠⡟⠀⠀⠀⠀⠀⠀⠘⢿⣾⣟⣿⣿⣿⣽⣻⢿⣷⣯⣣⠓⣬⠳⠼⣬⣱⣾⠿⠟⠛⠛⠿⠿⣯⣟⣿⢅⡻⢤⢋⡖⣩⠖⣙⠦⡓⢬⠚⡵⢪⡔⣎⠶⣙⡦⣏⠵⣘⠬⢢⢥⢣⡑⣎⠱⣆⢵⢎⡱ ⣟⣯⢷⣻⢾⣝⣯⣽⢳⣯⣳⢯⣻⣭⢷⡹⣞⡟⣯⢷⣯⣻⣽⣻⢾⣽⡿⣷⣤⣀⠈⠉⠛⠛⠶⠶⠤⢤⣤⣤⣾⣿⠿⠋⠀⠀⠀⠘⣿⡄⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣻⣿⣯⣟⣯⣟⣿⣧⡛⢦⣏⣷⠟⢉⣥⡀⠀⠀⠀⠀⣠⣾⣾⡏⢦⡙⢎⡚⡴⢃⡞⡱⢎⡵⢪⡝⣜⠳⢎⣨⠗⡭⢲⢍⡚⢥⣚⠱⣊⠱⡘⠴⣉⠖⣸⠎⡔ ⣟⡾⢯⡽⢾⣹⢾⡼⣏⣶⢫⣏⢷⡹⣞⣳⣏⡾⣽⢺⣷⣛⡾⣽⣻⣞⡿⣽⡻⣿⣷⣦⣄⣀⡀⠀⠀⢀⣴⡿⣿⠋⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⢠⣀⣠⠴⡾⠛⠿⢿⡻⠿⣿⣟⣾⣿⣿⣿⣿⡿⠋⠀⢀⣾⣿⣾⣿⠆⢀⣼⣿⣿⣿⣿⣷⣯⣶⣕⢮⡑⠞⡥⣋⠶⣡⠖⣉⠶⡍⣎⢱⡎⢧⢎⡱⢎⡰⣉⢆⡓⣘⢆⡑⢎⠡⢎⠴ ⡿⣼⢯⠿⣝⢯⣳⣟⡼⣞⡽⢮⢷⡻⣜⣷⣿⡼⣳⢿⣞⣽⣻⣳⠿⣼⣻⢷⣻⡽⣿⣿⣿⣯⣙⣧⣴⠞⠀⢿⣿⡄⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢈⣫⣷⣤⣤⣤⠀⠈⣧⠀⠈⠻⣿⣿⣿⣿⣿⣦⠀⢀⣾⣿⠿⠋⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⡖⣡⢋⣥⢞⡩⢖⢭⢢⡓⣬⢓⢎⡱⢊⡱⣌⠦⡵⢌⡚⡜⢬⡱⣉⠦ ⣟⣧⣟⣻⣭⢯⣳⢮⣻⠼⣝⡻⣞⡽⣞⣼⣷⡹⣷⢻⣞⡷⣯⣳⡟⣷⢯⣟⣳⣟⣳⢯⣿⣿⣿⣿⠏⡀⠀⠘⣎⣧⠀⠀⠀⠀⢀⣼⠁⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣷⡀⣽⠀⠀⠀⠙⣿⣿⣿⣿⣿⣧⠈⠉⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⡒⢎⡵⢋⠦⢧⡹⢆⠯⣜⣷⣩⠔⣌⠳⡜⡡⢞⡌⢲⡱⢄⠳ ⡿⣼⢞⣳⣞⣳⡽⣺⢵⡻⣭⢗⡯⢾⣹⢞⡧⣿⡱⣟⡾⣽⣳⠿⣼⢯⣟⣾⢳⣯⣏⢿⣾⣿⣿⣿⠀⢻⣄⠀⠙⠛⢷⣄⢀⣴⣿⠏⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⠀⠀⠀⣼⠋⠻⣿⡿⣽⣻⡄⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡹⡜⡼⣩⢏⠲⣱⢋⡞⣼⣿⣿⠳⣈⠷⡸⢅⠶⡘⢧⠸⣌⠳ ⣿⡱⣯⢳⢾⡱⣏⢷⣫⢗⡯⣞⡽⣫⢞⡽⣗⣳⣏⢿⣹⢷⣫⢿⡽⣛⣾⢳⣟⡾⣹⢾⣽⣿⣿⣿⡀⠈⢿⣿⢦⣀⠺⡿⠿⣿⠏⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣾⠃⠀⠀⠹⣿⣯⢿⣿⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⢦⢳⡙⢶⡱⣈⢇⠧⢫⣼⣿⠿⣑⢇⡓⡎⠵⢋⡊⡵⣊⠷⣨⠑ ⣷⡹⢧⡟⣧⢟⡽⣎⢷⡻⣜⣧⣛⣧⣛⡽⣇⣳⣞⣫⣟⣺⣍⣿⣘⣻⣜⣻⣜⣹⣋⣗⣻⣿⣿⣿⣷⡀⠘⢿⣧⣻⡛⢶⣄⡀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣼⡇⠀⣼⠃⠀⠸⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⡆⣏⢦⢣⡙⢦⡹⣡⣮⣾⣿⡿⣿⡱⢍⢎⡨⢴⣫⢜⣡⠓⣍⠶⣡⢋ ⣾⣹⡳⣽⢺⡝⡾⣭⢯⡽⣹⢮⡽⣭⢯⡝⣯⢯⣝⣯⢽⣫⢟⣿⣻⢽⣫⡟⣽⣫⣟⡻⣿⣿⣿⣿⣿⣷⡀⠈⢿⣿⣷⡄⣾⡉⠛⠲⣤⡈⠉⣽⣛⠛⠻⢿⣿⣿⣿⣟⣽⣿⠁⠀⣰⣿⣧⣰⣿⠀⢀⣠⣿⣷⣟⣿⣿⣿⣿⣿⣿⡿⠁⣴⣿⡿⣿⢿⣿⣿⣿⡟⣣⢱⠒⡭⢆⡳⣜⣶⣿⣿⣿⣟⣿⣽⣏⡔⢪⢎⢳⡱⢎⠳⣌⠟⡬⢞⡥⢊ ⡷⣣⣟⢮⡟⣾⣹⢮⢷⡹⢧⡟⣾⡱⢯⣞⢧⡟⡾⣼⣫⢗⣯⣿⢞⣳⢯⣽⣳⣳⣭⢷⣻⣿⣿⣿⡿⣿⣿⣆⠈⢻⣿⣿⣿⣷⣀⣠⣴⡿⠉⣛⣿⡶⣤⣌⡉⠀⢻⣿⣿⢻⣄⣴⣿⣿⣿⣿⣷⠾⠛⠋⠙⢻⣿⢾⣿⣿⣿⣿⣿⣷⣾⣿⣿⣽⣯⣟⣿⡿⡫⡜⣡⣣⣯⣼⣿⣿⣿⡿⠟⠻⠷⣿⣧⣿⡓⣸⢍⡞⣰⠣⣏⡞⣥⢛⡜⣣⠎⢧ ⣻⢵⣚⣯⢞⣵⣫⢞⡧⣟⢯⡞⣧⡻⣝⣮⢻⣼⢻⡵⣫⣞⢧⣿⢯⡽⣫⢶⣳⢳⣞⣭⢿⣿⣿⣿⣿⣿⣽⣿⣷⣄⠙⠻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣶⣾⡿⠿⣿⢻⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⣿⣿⣿⡟⠋⢀⡄⠀⠀⢹⣿⢇⢳⡱⢎⡜⠆⡗⢦⡙⢦⢋⠞⣥⠛⡦ ⡿⣞⡷⣞⠿⣶⢻⡞⣷⢻⠾⣽⢶⣻⢞⣾⣳⢾⣳⡟⣷⢾⣻⠿⣿⢞⡷⣟⡾⣷⢾⡾⣾⣿⣿⣿⣾⢿⣿⡾⣟⣿⣷⣄⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⠋⢀⣤⣶⠞⣿⣿⣷⣶⣄⢻⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢠⣿⣟⣴⢠⣾⡣⢎⡳⣍⢞⣌⢳⢸⣃⠞⣥⢋⡞⡴⣋⢖ ⣟⡾⡵⣏⣿⣚⣧⢟⡮⣏⡿⣼⣣⢟⡾⣲⡽⢮⣳⡽⣞⢧⡯⣟⡼⣏⡾⣝⡾⣵⣻⣼⣻⣿⣿⣿⣽⣿⣯⡿⣿⣻⣿⡟⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⡟⠁⠀⢸⡿⢋⣾⣿⣿⣿⣿⣿⣸⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⣶⣶⣿⣿⣿⣷⣿⣷⣷⣭⣖⣍⠺⣌⠳⡌⣮⡙⢦⣋⢶⡱⣍⢎ ⡿⣼⢻⡵⣞⣳⢮⢯⣳⢏⣷⢳⣭⢟⡾⣱⢯⡻⣵⢻⡼⣏⡾⣭⢷⣫⢷⣻⣼⢳⢷⣺⣽⣿⣿⣿⡽⣷⣟⣿⢿⡽⣿⡇⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⢿⣿⣿⣿⠀⠀⠀⢹⣷⣿⣿⣿⣿⣿⣿⣿⡇⣿⠁⠸⣿⡿⣛⠋⠉⢀⣠⣴⣿⣿⣿⣽⣻⣾⡿⠿⠿⢿⣿⣿⣽⣿⣿⣿⣯⣟⣿⣯⢛⡞⣳⢎⡽⢤⢣⡝⢦⠱⣎⠴⣌⠮ ⣟⣳⢯⡽⣞⣽⢺⣏⢷⣛⣮⢟⡼⣏⡾⣝⣳⢯⣳⢯⣳⢏⣷⣛⡾⣝⡾⡵⣞⡯⣟⣶⣻⣿⣿⣿⡽⣿⡽⣾⣿⣻⣿⡇⢸⣿⡀⠀⠀⠀⠀⠀⢀⣰⡿⠋⣴⠃⠸⣿⣿⣿⣷⣦⣄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡀⠀⠈⢙⣿⣷⣾⣿⣋⠁⠀⣿⣿⣿⣿⢋⣶⠆⠀⠀⠀⠀⣩⣿⢿⣿⣷⣯⡿⣿⣷⡸⢱⠮⢜⣃⠾⣘⠶⣙⣌⠳⣎⢳ ⣯⢟⡾⣝⣳⡞⣯⣞⢯⣞⢧⡿⣹⡞⣽⣹⢮⡗⣯⣞⢧⣟⡮⢷⣽⢺⡽⣝⣳⢯⡽⣶⣻⣿⣿⣿⡽⣿⡽⣯⣷⣟⣿⡇⢸⣿⣅⣀⣀⣀⣠⣤⡾⠉⢀⣼⠋⠀⠠⣿⣿⣿⣿⣛⠉⢠⣼⠿⣿⣿⣿⣿⣿⣿⡷⠛⣠⣾⡿⣿⣿⣿⣿⣿⣿⣷⠀⢸⣿⣿⣷⡿⠋⠀⠀⢀⣤⣾⠿⣩⢇⣞⡹⣛⢿⣿⣿⣧⢭⡺⡝⢆⡻⢜⡎⡵⢪⡝⣬⢳ ⣟⡾⣝⡯⣗⣻⡵⣞⣟⣮⢟⣞⢷⣹⢷⣹⡞⣽⡳⣞⢯⣞⡽⣏⡾⣏⡷⢯⣛⡾⣽⢶⣻⣿⣿⣿⣽⣻⣽⣷⣿⣾⣿⡇⢸⣿⣿⣿⣿⣿⣿⠋⠀⢀⣾⠁⠀⠀⠀⣿⣿⣿⣿⣿⣷⣾⣿⣦⡀⠈⠉⢛⢛⠻⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣸⣿⣿⠟⣁⣠⣴⣾⢟⡻⣜⣣⢏⠾⣜⡳⡹⣆⢯⡹⣙⢦⠳⣜⡫⣜⢣⡞⡱⢧⢺⡔⣫ ⣟⠾⣝⡾⣝⣧⢿⣹⡞⣮⢟⣮⢯⣳⢏⡷⣽⡳⣽⣫⢟⡼⣏⡷⣽⣹⡽⣏⡿⣵⢯⣏⣿⣿⣿⡷⣯⣿⣾⣿⣿⣿⣿⣇⣾⠃⠀⢀⣤⣾⣧⣈⡐⣾⠃⠄⠌⡁⢌⣿⣩⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠃⠌⢛⡛⢿⠻⠿⢿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⢿⡻⣜⢧⠷⣩⢖⣫⡝⡶⡹⡵⢭⠶⣩⣓⠮⣝⡲⢵⡩⢶⣩⠳⡭⢶⡙⢶ ⣯⢟⡽⣞⡽⢮⣗⣻⡼⣏⡿⣎⡿⡵⣯⣛⣶⡻⣵⣫⢯⡟⣾⣹⡞⣵⢯⣏⡷⢯⡷⣻⣼⣿⣿⣿⣽⣿⣾⣿⣿⣿⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⢏⡐⢌⠢⣁⠢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡻⣿⠛⢦⣄⣀⠘⢿⠟⠀⠀⠀⠀⠈⠉⠉⠉⢸⣿⣻⣿⣯⣿⣾⣿⢟⣮⣽⣶⣋⢧⡻⣜⠧⣝⢮⡛⡵⣎⡽⡲⣝⡲⣝⢲⡱⣏⣳⢣⣛⡬ ⣟⡾⣝⡾⣽⣛⢾⡵⣯⡽⢾⣹⣳⢿⣱⡟⣶⡻⣵⣏⡷⣫⢷⣣⢿⣹⠾⣭⣟⡯⢷⣛⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠂⡜⢄⠣⡔⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣧⢀⣼⣟⠛⠶⣦⣄⣀⣀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡿⣟⡵⢯⡝⣮⢳⣝⡺⣜⢶⣹⢣⢷⣩⢗⣧⢳⢎⡳⡝⡮⣵⢫⣖⡹ ⣟⡼⣏⡾⢧⣻⣝⡾⣵⣛⡯⣗⣻⢮⠷⡽⢧⡟⣶⣛⠾⣝⡧⢿⡭⣏⡿⣳⢾⣽⣿⣿⣿⠿⣟⠛⠛⣛⠻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⡤⢃⠞⡌⡜⡒⣌⣹⣿⣿⣿⣿⣿⣿⣿⣿⣇⠘⢿⣿⣿⣿⣿⣿⣴⣾⣯⣤⣿⣿⡿⠟⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⢿⡻⣽⢺⢧⣟⢮⡳⣎⢷⣹⢺⣬⢻⣬⢳⣫⢖⡯⣞⡵⢫⡵⣎⢷⡪⢵ ⡿⣝⣯⣛⣯⢷⡺⣽⢳⣏⡿⣽⣹⡞⡿⣟⢯⣻⢳⢯⣟⣻⢞⣯⢟⡽⣞⣯⣿⣽⠟⡩⠰⢌⣛⣯⠝⡩⠅⠛⠛⣿⣿⣿⣿⣿⣿⣿⡿⢣⡙⢴⣋⡜⡔⣣⣵⡶⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣝⠻⢿⢿⡿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣷⢿⣱⢻⡞⣼⣣⠿⣜⢧⣛⢶⢣⡗⣎⠷⣎⢯⢞⡶⣹⢧⡳⣝⢮⣙⢮ ⣟⣳⢾⣹⢮⡗⣿⣱⡟⡾⣝⣞⡧⡿⣝⣯⢯⢷⢯⡟⣾⢭⣟⢮⡿⣹⡽⣾⣿⡟⢬⣁⢳⣾⡿⡐⢣⢰⡉⢎⠡⠻⣿⣿⣿⣿⠿⡹⣜⢣⡝⢲⣧⣶⠿⢋⠡⢐⡐⣾⣿⣿⣿⣿⡿⠋⢻⣿⣞⡿⣿⣷⣄⣀⣀⣤⣀⣀⣤⣶⣿⣿⣦⣠⣶⣿⣿⡿⣿⣛⠿⣭⢳⣛⣮⡽⣳⢽⣣⣏⡟⣮⢟⡼⣫⢗⢾⣩⢞⡭⣞⣣⢏⡷⣋⢷⡹⡞⣜⢮ ⣯⢟⡾⣭⢷⣛⣧⢯⣽⢻⣝⣮⣽⡳⣟⣞⢯⣻⣞⡽⣧⡟⣞⣯⣞⢷⡻⣿⣿⡙⢦⢎⣹⡿⣅⢹⢂⠧⡘⢎⡱⣵⣿⣿⣿⣍⡳⢵⣊⡷⣸⣹⡟⠅⡒⣌⣦⢁⢲⣿⠙⠛⠋⠁⠀⠀⢸⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡿⣟⡿⣽⣿⣿⣿⣿⣯⢳⡽⢶⣏⠿⣭⢏⡷⣣⢿⣹⡞⣵⢞⡽⣎⢯⣳⡝⣮⢳⡭⣞⡵⣫⡜⣯⢞⣭⢳⡽⣙⠾⣸ ⣟⡾⣽⣭⢿⣹⢮⢿⡼⣛⣮⠷⣞⡽⣞⣭⢿⣱⢾⡽⢶⣻⠽⣶⣫⢯⡽⣿⣿⣙⣎⠾⣸⠟⡬⢎⡍⢶⣉⣶⣿⣿⣿⣿⢯⢼⣙⢧⢞⡴⣿⣿⠁⢎⣵⣿⣿⡌⣾⣿⡆⠀⠀⠀⠀⠀⢸⣿⣿⡿⣾⣽⣻⣿⣿⣿⣿⣟⣯⣿⣿⣿⣿⣿⣿⣷⢻⡞⣷⣺⡻⣵⢫⡽⢯⣗⣻⡼⣏⣞⣳⢭⡳⢧⣻⡜⣧⢻⡜⡶⣣⣛⠶⣋⢮⡳⣭⡝⣞⡱ ⣟⣞⠷⣞⣯⣳⢯⡟⣾⡝⡾⣝⣯⠾⣝⡾⣭⡟⣾⢽⣛⣞⢿⣱⢯⣯⡽⣿⣯⣷⢎⡟⡼⣍⣳⣭⣾⣿⣿⣿⣿⣿⠿⣝⡯⣞⡽⣚⢮⣽⣿⣿⢼⣿⣿⢿⣽⣿⣿⣿⣇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣳⢿⣿⣿⣿⣿⣿⣟⣾⣻⣿⠿⣿⣿⣿⣿⣷⣯⢳⣳⡝⣮⣷⡻⣝⢮⡳⣽⢎⣷⡹⢮⡝⣧⡳⣝⢮⡳⣝⡺⢥⣫⢽⡹⢎⡷⣱⢞⣥⣛ ⣟⢾⣻⠽⡶⣏⣷⢻⡵⣻⣝⡯⣞⣻⣝⢾⣳⡽⣫⢾⣝⡾⣫⣽⣳⣳⢿⣹⣿⣽⣮⣽⣿⣿⣿⣿⣿⡿⣟⡿⣽⣞⣻⢧⣟⣵⡻⣝⣿⣿⣿⣿⢾⣿⣿⣻⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣷⣻⣿⣿⡟⠋⢻⣷⣿⣞⣿⣿⡀⠀⣨⠶⠿⠻⣿⣻⠖⠛⠀⠀⠘⠙⢮⡳⣭⡋⠁⠹⣧⠛⠁⠉⠉⠉⠁⠉⡷⠋⠉⠁⢻⡹⢮⡅⠉⢲⣩ ⣯⢟⣞⢿⣹⡽⣚⣯⢷⡻⣼⡽⣹⣳⣞⣻⢶⡻⣝⣯⢞⣳⡟⣶⣏⡷⣯⣛⣿⣿⣿⣿⣿⡿⣟⣯⡿⣽⣯⣟⡷⣯⣟⣻⢮⣷⣻⣽⣿⣿⣿⣏⣿⣿⣿⣷⣿⣿⣿⣿⣿⡆⠀⡀⠀⠀⣾⣿⣿⣿⣷⡿⠋⠀⠀⠀⣽⣿⡿⠿⢟⢁⡀⠀⠀⠀⢸⡿⠧⠐⠾⣧⣠⢾⠒⠀⠿⣖⡅⠀⡹⠀⢀⡴⠖⠶⠲⠖⠦⢳⠀⢐⡀⠀⠹⡳⠄⠀⢸⣱ ⣟⡾⣹⣞⣧⠿⣝⣮⢷⡻⣵⣛⡷⢧⣟⡞⣷⡻⣝⣮⢟⣧⡟⣷⢾⣹⢷⣫⢿⣟⣿⣿⢾⡿⣿⣽⣻⣷⣻⢾⣻⡷⣯⣟⡿⣶⣿⣿⣿⣯⣿⡇⣿⣿⣿⣾⣿⣿⡿⣾⣿⣇⠠⢐⠠⢁⢼⣿⣿⣿⣷⡄⠐⠠⢄⠠⠉⡉⢀⠈⠻⠟⠃⢀⡐⠂⣿⣧⣄⣀⣠⡾⠱⣧⣀⣀⣠⠾⡅⠀⢱⠀⠈⢷⣀⣄⣠⡀⠀⢸⠀⠀⡿⣄⠀⠙⡃⠀⢸⢧ ⡿⣼⣳⢏⣾⢻⡽⣮⢷⣛⣧⡟⣾⣛⣮⣟⣳⡟⣽⢮⣟⣮⣽⡳⣯⣻⠾⣝⣯⣿⡾⣿⣿⣽⣷⣻⣽⣳⣟⡿⣽⣻⢷⣯⢿⣽⣿⣿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣧⠒⠬⡐⠌⣾⣿⣿⣿⣿⣿⣧⣥⡌⢂⡱⢄⠣⡘⢄⠒⡌⠰⣸⢰⣿⣿⣷⣤⣉⠀⠀⢈⢁⡤⣯⣛⡆⠀⢹⣦⣄⡀⠀⠀⠀⠀⢀⣜⠀⠀⡿⣜⣆⠀⠀⢀⣼⢣ ⡿⣵⢯⣻⡞⣿⢞⡷⣟⡾⣶⣻⢶⣻⢶⣻⢶⣻⠽⣞⣧⡟⣶⣻⣳⣽⡻⣽⢞⣿⣿⣿⣿⣾⢿⣽⡷⣿⣽⣻⡷⣟⣿⣞⣿⣿⣿⣿⣿⣻⣿⢸⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡌⡳⡘⡜⣼⣿⣿⣿⣿⣿⣿⣿⣏⠲⣐⢎⡲⡑⢎⠲⣌⡱⢧⣿⣿⣿⣿⣞⢿⣣⡴⣞⢯⣻⡵⣫⢽⣛⠷⣎⣟⡻⣟⢿⡻⣽⡹⣎⢷⡻⣵⣋⢾⣹⢏⡿⣜⢯
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠋⠁⣄⣤⡞⠙⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣄⣠⡶⢉⡉⠉⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⠔⠲⠒⠛⠻⡹⠉⠇⠀⠀⠀⢠⣿⠿⡄⠂⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢨⣿⣻⠀⠀⠹⡳⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠁⢻⣆⠤⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡀⣴⡿⠕⣿⡇⠀⠰⠁⢝⡯⠉⠹⢿⠛⠳⠶⣤⡀ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡁⠀⠀⣏⠆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣬⡿⡁⠀⢹⡵⠀⠀⠀⠈⠜⠀⠀⠀⠀⠀⠀⠈⣿ ⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠇⠃⠀⠀⢹⠄⣸⣿⣉⣭⣭⣭⣿⢿⣭⣭⣭⣭⣭⣽⣧⢐⢾⣯⠁⠀⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠈⢧⠀⠠⠀⠀⠀⠀⠀⠀⣀⣍⣟⠂⠀⠀⣀⣼⣿⣷⣿⣿⣿⣿⡫⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⡃⠀⠀⠨⢹⡚⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⢨⠜⣴⣤⣶⣿⣿⣻⣿⣿⣿⣿⠟⡩⢻⠃⠀⠙⣿⣿⣿⣿⣿⡿⣿⣿⣿⣧⣤⡀⠀⣧⠈⠄⠄⠀⠀⠀⠐⠠⡀⣨⡟⠀ ⠀⠀⢠⣟⣦⣤⣤⣴⣶⣿⣿⣾⣿⣿⣿⣿⢯⣿⣿⣿⣿⣫⠞⠀⣼⡇⠀⠀⠙⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣍⢇⡀⡀⠀⠀⠀⠀⢠⣴⠋⠀⠀ ⠀⠀⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣸⣿⣿⡿⡿⠁⠀⠀⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⢣⢹⣿⣿⣿⣹⣿⣿⣿⣿⣶⣿⣵⣶⣾⣿⠁⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠉⣿⣿⣿⡟⠙⠀⠀⠀⡇⠀⠀⠀⠀⠰⢻⣿⣿⣿⡉⢿⢿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⠁⢠⣿⣿⠏⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⡠⠈⡞⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⡿⣃⣤⣼⣿⣯⣤⡄⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⢀⣙⣿⣧⣤⣸⡸⣿⡇⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⣟⡟⢸⣿⡿⢋⣵⣾⣿⣿⣶⣅⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢟⣽⣿⣿⣮⣍⠻⣿⣇⠸⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⡂⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡻⢀⣾⣏⢢⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣧⢺⣿⣆⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣟⠇⣼⢷⠃⣸⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡎⠀⢿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⡏⠀⣿⡌⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣧⡘⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣷⠀⣿⡅⠀⢿⣿⣿⣿⣿⣿⣿⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⡯⠁⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠻⣷⠀⠘⡏⠉⣻⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡇⠀⣿⣿⣿⣿⣿⡁⢀⣾⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠑⠠⠸⠿⣿⣿⣿⠟⠁⢀⣀⡤⣤⣤⢤⡤⢄⣤⣀⡀⠹⢿⣿⣿⣿⣿⡋⠀⠛⠋⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⣴⣯⣷⣫⠥⣄⣭⣿⢿⣭⡑⢦⣄⠉⠉⠁⠀⠀⠀⠀⡞⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣛⢐⢶⣿⣿⡿⢿⣿⣿⢿⣿⣷⡷⡠⡅⡽⢆⠀⠀⠀⠀⠀⠀⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⡣⣤⣴⣽⠟⢹⠛⣿⣿⣿⡿⠿⠻⣽⢿⣓⡉⣻⡆⠀⠀⠀⠀⢀⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣾⣿⠾⡖⠛⠛⠛⠢⠤⣠⣳⣋⣶⣲⣿⠃⠀⠀⠀⠀⣞⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠂⠚⠋⠁⠀⠉⠉⠉⠉⠁⠀⠀⠀⣠⣮⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⠤⣄⣀⠀⠀⠀⠀⠀⢀⣠⡴⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣯⣵⣷⡀⠀⠈⠉⠉⠛⠛⠋⠉⠀⠀⠸⣯⡙⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⠿⠋⠸⣾⠃⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⢡⣷⡏⠘⢿⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠒⠉⠀⠀⠀⠀⢿⠁⠀⠀⠀⠉⠒⠂⠀⠀⡀⡀⡠⢸⣹⠁⠀⠀⠙⠲⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢁⡇⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⠀⡼⡄⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡿⣿⣿⡇⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣤⣤⣤⣤⣀⣀⣀⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⣿⡿⣿⡏⠙⠛⠛⠛⠋⠉⠉⠀⠀⠀⠉⠙⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⡿⠁⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⠷⠶⣤⣟⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠈⠛⠀⠀⠀⠀⠘⠛⠋⠉⠉⠉⠉⠙⠻⢧⣴⢦⡀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⢸⣷⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⡀⠀⠀⠀⠁⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⣿⣿⣿⢷⡀⠀⠀⠀⠀⠛⠋⣩⣭⣭⣿⣻⢷⡄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⢿⡄ ⠀⠀⠀⠀⠀⠀⣷⠀⣿⣿⣿⣾⠃⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣙⡏⠛⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠈ ⠀⠀⠀⠀⠀⢠⠏⠀⠈⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡇⠀⠀⠀⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠈⠉⠃⠀⠀ ⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠀⠀⠀⢀⣠⣄⡀⠹⣿⣿⣿⣇⠀⠈⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠈⠳⠶⠴⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⡿⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣤⣤⣶⣾⣿⣿⡟⡻⠿⠶⣶⡶⣶⢶⣶⡞⠋⠉⠙⠛⠶⠶⠶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡖⠉⠈⣽⠋⣿⠉⠉⢙⣿⡹⢦⣾⡁⠈⡿⣠⡾⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣇⣄⢀⢿⡀⢿⣀⣀⣾⠧⣿⠏⠈⣻⣿⢱⡟⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣷⣾⡾⠿⠛⠹⠉⠀⢠⣏⣴⢟⠋⠅⢸⡇⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢴⣿⣿⠁⠀⠀⡐⠂⠀⠀⢸⡟⠀⢡⣮⣤⣸⣷⠶⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⠙⠶⠚⠛⠻⣄⣠⣤⠶⠿⣶⣴⡞⠛⠁⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠏⣰⠟⠀⠀⢠⠀⠈⡁⠀⠀⠀⢹⡀⢿⠀⠀⢀⡀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣏⣾⠋⠀⠀⠀⣼⠀⢠⡇⠀⠀⢀⣀⣷⠾⢧⣿⣤⣵⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣏⠁⠀⠀⣠⣿⣿⠀⢸⡇⠀⠀⣨⠋⠀⠀⠀⠳⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢆⠀⠀⠀⣿⣿⠀⢸⡇⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣆⢀⣀⣾⡿⢦⡈⢡⡄⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⠟⠁⠀⠙⣄⠹⣦⣀⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠈⠛⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⣶⡾⠛⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠛⠿⠶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣯⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⠿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⣤⣶⣾⣿⣿⣷⣶⣦⣄⡀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠁⠀⣿⣿⡏⢻⣿⠟⢿⣿⣿⡄⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠘⣿⡄⠀⠀⠀ ⢀⠀⠀⢠⡖⡆⠀⠀⠀⣾⡟⠁⠀⢰⣿⣿⣷⡄⠁⢠⣾⣿⣿⣿⣿⣿⣿⡏⠙⠟⠁⣠⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠸⣇⠀⠀⠀ ⠸⡌⠙⠋⢰⠃⠀⠀⢠⡿⠃⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⠉⣿⡆⠀⠀⢻⡇⠀⠀ ⠀⠙⠦⠤⠏⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⡟⠀⠹⣧⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⢿⡏⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢸⡟⠀⠀⢀⣿⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⡄⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⡏⢸⡇⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣌⣿⣦⣀⠀⠀⠀⠀⢀⣠⣶⠿⠋⠀⠘⢿⣆⠀⠈⠉⠻⠿⠟⠓⠀⠀⠀⠀⠀⠀⣼⣟⡁⣀⡀⣿⣁⠀⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡅⡍⠛⠿⠷⠶⠿⠛⠋⠁⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⠉⣻⣏⠳⡟⠁⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣟⠁⠀⠀⢀⡠⠔⠃⠀⠀⠀⠀⠀⠀⡜⠈⠛⠻⠶⣦⣤⣤⣤⣴⡾⠛⠛⠷⠤⢴⠟⣹⣄⣠⠞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣯⡉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⡞⣠⠟⠀⠀⠀⣞⣴⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⢀⠀⠀⠀⠀⠀⠈⠀⠋⠀⣀⣠⣾⠿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠂⠒⣂⣼⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢤⣤⡄⠀⢀⣀⡈⠙⠛⠻⠿⠷⠶⠶⠶⠶⠶⠶⠾⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⢦⣠⠿⣷⡇⠀⠙⢶⣶⣤⡀⣀⠤⠤⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⡿⠟⠁⠀⠀⢀⣤⠈⠹⡄⠀⠈⢇⣹⠋⠁⠀⠀⢠⣷⣤⣤⣤⠏⠓⡄⡠⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠟⠁⠀⠀⠸⣽⠼⠸⡀⠀⠈⠣⣄⠀⠀⠀⣠⣤⣾⠟⠃⠀⠀⣙⠻⣄⠘⠁⢠⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣄⣠⣤⣶⡆⠈⠓⠛⠃⢠⣄⣠⡄⠓⢚⣿⣿⣿⠏⢰⠲⢄⡴⢁⠀⠈⢳⣠⠏⠈⠉⠛⢿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⣿⠁⠀⠀⠀⠀⠘⢧⡼⠃⠀⣸⣿⣿⡏⠀⠈⠓⢦⣀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢀⣤⢀⣤⠀⠀⠀⢀⣾⡟⢹⡟⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⣾⠿⣶⣤⣴⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣾⢃⣾⠏⣀⣰⡶⠟⠉⠀⠸⣷⡄⠀⢰⡿⠁⣰⣿⠀⠀⢀⣼⡿⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠛⠋⠁⠀⠀⠀⠀⠈⢿⣶⣾⣇⣰⣿⣥⣶⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
。 o ○ ╭◜◝ ͡ ◜ ͡ ╮ ╭◜◝ ͡ ◜◝ ͡ ◝╮ ( thinking ) ( about ) ╰◟◞ ͜ ╭◜◝ ͡ ◜◝ ͡ ◝ ͡ ╮◞◟◞ ╯     ( you! )    ╰◟◞ ͜ ◟◞ ͜ ◟◞ ╯ ♡ search ''aesdesigns'' for more~
♡∩_∩ („• ᵕ •„)♡ ┏━∪∪━━━━━━━━━┓ ♡ ♡ you & me, always forever! ┗━━━ ━━━ ━━━ ━━┛ ♡ search ''aesdesigns'' for more~
/) /) (\ (\ you ( . . ) ( . . ) & ( ⊃ ♡ ⊂ ) me! ♡ search ''aesdesigns'' for more~
you..⠀°. ♡ ⠀⠀⠀⠀. ° ⠀⠀_♡ ⊂⊂ ·) ⠀/  | ⊂___u ♡ search ''aesdesigns'' for more~
⌒ -- ⌒ ( 。 ·ɷ· ) / ⊃ <3 ⊂) ⸌ _ U -- U ♡ search ''aesdesigns'' for more~
( \ ( \ could i have ( ˶ ´ ⁠^ ` ˶) another cookie ( ⊃ ⊂ ) 🍪🍴..? ♡ search ''aesdesigns'' for more~
╭━━━━━╮ |::::::::::::: /___/ <|:::::::::(。 ●ω●。) し---------し---J ♡ search ''aesdesigns'' for more~
⠁⠀⠀⠀⡠⠎⢀⠀⠀⠀⠀⠀⠀⡠⠐⠈⠁⠀⠀⠈⠑⢜⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠊⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀⠀⠀⠀⢀⠧⠄⠀⠀⠤⢀⠀⠀ ⢠⠈⠀⠀⠀⠀⠀⠀⠀⡆⢠⠁⠀⠀⠀⠀⠀⠀⠀⢠⠂⠁⠀⠀⠀⠀⠀⠀⠑⠀ ⠁⠀⠀⠀⠀⠀⡀⠐⡠⠐⠈⠀⠀⠀⠀⠀⠀⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃ ⠀⠄⠀⠀⠀⠁⡡⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠠⢀⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁ ⠀⠈⠀⠄⡎⠀⠀⠀⠀⠰⣂⢎⡇⠀⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠤⠊⠀⠄ ⠀⠀⢠⢹⠀⢂⠡⠀⠀⠀⠀⠀⠠⠤⢤⡀⠀⢴⣶⠀⠀⠀⠀⠀⠀⠀⢡⠰⠀⠀ ⠀⠀⠈⣸⠀⠌⠀⠂⠀⠀⠀⠀⠀⠀⠈⠃⠀⠈⠍⠆⠀⠀⠀⠀⠀⠀⢸⢀⡀⠂ ⠀⠀⠀⠁⢣⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠂⠄⡀⠀⠀⢸⠀⠄⠂ ⠀⠀⢀⢠⠊⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⡐⠠⠀⡁⢀⣼⣜⢈⠐ ⠀⡀⠠⢡⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠂⣠⣾⢿⣽⠀⢂ ⠀⠀⠀⠈⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠐⠂⣿⣿⣽⡻⣾⠁⠂ ⠀⠠⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⢧⣿⡛⠄⠃ ⠀⠀⠠⠁⠂⠡⡕⠠⣀⠀⠀⠀⠀⠀⠀⠀⠈⢆⡀⠀⠀⠀⣠⡿⣯⡟⠊⠠⢈⠐ ⠀⠀⠀⡀⢀⠁⢠⢉⠉⡉⠐⠒⠠⢀⠀⠀⠀⠀⠈⣠⣶⡿⠟⠋⢁⡐⠌⡑⢂⢌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⡀⢄⠠⣀⠤⠤⣀⣀⠀⢀⣀⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠈⠀⠀⠀⠉⢑⣪⣕⣢⠱⡌⣋⠟⠿⢿⣿⣿⣿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣷⣶⣥⣊⠕⣊⢌⠛⡿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⡦⣊⠕⢢⣉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⡙⢦⡹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⢿⣿⣮⡘⢆⠤⠓⡌⢻⣿⣿⣿⣿⣿⣿⣟⣿⣷⣶⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣶⢹⢢⢇⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢲⠉⡜⢢⢹⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠧⣆⢑⣚⢳⢻⣿⡀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣷⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣷⣿⣾⣯⢢⡙⡔⢡⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⣏⣚⣏⢆⢿⡎⣥⢻⣷⡀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠤⡱⢈⣾⣿⣿⣿⣿⣿⣿⣽⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⡜⢢⣽⢻⡎⡎⣷⠘⣦⢻⣷⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⢫⠙⠛⢻⣿⣿⣿⣿⣿⠒⢡⡟⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⡟⣬⢃⣤⢲⡚⣼⠱⣼⣿⣿⣧⣴⣿⡿⡙⡦⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⢫⡑⠦⣉⠎⡜⠤⢋⠴⣈⠳⢗⣽⣇⡮⡋⢦⢙⢢⡑⠬⣙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠿⡜⢆⣏⠴⣣⣾⣟⣣⣿⡿⢫⡙⣽⣿⣷⣕⢮⢱⢹⣿⣿⣿⣿⣿⣿⣿⣿⠟⡭⢒⡌⡒⢌⡒⢡⣪⣴⠿⠟⠶⠮⣕⡾⠿⢛⠾⠿⢶⣬⡒⡌⣒⢡⠚⢤⢩⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢏⡳⣹⣾⣟⢣⣿⣿⣾⠿⣿⣿⣷⣿⣿⣿⣿⣿⢎⢧⢣⣿⣿⣿⣿⣿⡿⢫⠱⡩⢔⠣⡜⣘⣰⠞⡫⠕⡢⢩⡼⡛⢍⠲⢰⡉⢆⢣⠃⢎⠬⡙⢳⣤⢃⠞⣠⢃⢇⢣⡙⢯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣬⣵⣿⠿⠟⠛⠉⠉⠀⢰⣿⣿⣿⣿⠿⣯⣳⡏⠾⣌⣿⣿⣿⣿⡿⢫⠜⣡⢣⡑⢎⡱⡰⢎⡱⢌⠱⣈⡱⣋⢒⡉⢆⠡⢃⠜⡠⢊⠱⡈⠆⡍⢒⠤⢛⢦⡑⢎⡌⠦⡙⡤⢋⢿⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⡞⣡⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⣸⣿⣏⢶⡏⢯⣹⣿⣿⣷⣾⣿⣿⣿⠫⡜⡡⠞⣄⠣⡜⢢⠞⡱⢊⠔⣊⠱⣸⢑⠢⠅⠎⡄⢫⠌⢆⢡⠃⠇⡜⠱⡘⢄⡓⠌⡆⣙⢦⢊⠵⡱⢌⢣⢎⡹⢮⣙⠿⣿⣿⣿⣿⣿⢏⡳⢬⣱⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⣿⣿⣿⣿⣦⣵⣿⣿⣿⣿⣿⡟⣡⠳⣌⠱⡩⢔⠣⣼⢣⡙⠴⣁⠎⣄⠣⢅⡊⠴⣉⠒⡌⢦⢘⠢⢌⠬⠹⡐⠣⡜⡠⠜⡰⠘⡄⠎⣗⠪⣔⢩⢚⣿⣷⣇⢻⡦⢩⠹⢿⣿⢏⡞⡥⢷⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⠟⢰⡡⢓⡌⢣⡑⣎⣱⢃⠦⡙⠒⠬⡘⣄⠃⢎⡘⠰⡄⢋⠴⡈⢎⠱⣈⠖⡡⣏⠱⢂⡑⢎⠡⢃⠜⡘⠤⢳⢌⡆⣻⣿⣿⡿⡂⠽⣧⡙⢢⠝⣾⡜⣽⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣽⣿⣿⣿⣿⣿⣿⢿⣯⡿⡓⠌⡂⠣⠧⣘⠕⢁⢼⠇⣊⠖⡹⢌⣑⠒⣘⠘⢆⡜⠡⢎⡡⠒⡍⢢⠣⠔⡊⢥⢸⢂⢇⡘⢄⣋⠒⠬⡘⠔⠩⣆⣼⣿⣿⣿⣧⣟⠁⠈⠿⠥⡞⢤⢋⠿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣟⣯⣿⣟⡒⢡⢂⣡⣁⢂⡄⢠⢋⡞⠀⡉⢠⠓⠈⠀⣃⡇⠘⠂⣈⠡⢆⠬⠥⠬⢅⠉⣉⠁⠂⢹⢌⠒⡠⢀⠀⣈⠈⠉⠈⠀⢈⣿⣿⣿⣿⣉⢻⡧⠀⢰⣾⣋⠦⣉⠖⡩⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣯⣿⣟⡿⣡⢑⠶⡩⢖⠬⣃⠖⡌⡾⣐⠧⣓⣸⠬⡓⡐⢆⡇⢆⡱⢂⠍⡎⡜⣡⢋⡜⠪⡔⢪⠔⣸⡌⢣⠒⣈⠒⠦⢩⡑⠤⣰⣿⣿⣿⣿⣿⣷⠿⣆⠀⣸⣯⢷⡊⡕⢪⠕⡪⢜⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡿⣷⣿⣯⣿⢳⢡⢏⡞⡱⢎⡳⢜⢪⣱⢛⡴⢓⠦⣏⠲⣡⢙⠢⣏⠒⣄⢫⠰⡘⡴⢡⠲⢌⠳⣌⢣⠚⣼⡇⢣⡘⠤⣉⠦⢡⠜⣡⢊⠏⡔⣟⢿⣿⣿⣶⡟⣰⡿⣁⡞⣧⣙⢆⢫⠜⡍⣎⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⢿⣿⣷⣿⡏⣧⢫⡜⡼⣑⢫⡜⢎⡱⣺⢣⠞⣭⢚⡧⣋⠴⣉⢎⣹⠜⡤⢃⡱⢧⢱⢣⡙⢮⠱⣌⠲⡩⢼⡇⡣⢌⡱⠰⣈⠇⡜⣠⢃⠞⡰⣹⠮⣍⢻⣿⡀⣯⢳⡱⢎⡽⣎⡜⢪⡱⣉⢖⢣⠞⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣻⣿⣿⣾⣿⣙⢦⠳⣜⡱⣍⠶⣙⢎⠵⣧⢏⡞⡴⣋⡷⣡⠳⡘⢦⠩⢷⡈⢇⠦⣙⣎⠦⡱⢺⡱⢌⢧⡙⢼⡷⣑⠪⡔⢣⡑⢎⠲⡡⢎⡜⡱⢼⠳⡜⣣⠻⣽⠧⢧⣙⢎⠶⢷⡘⢇⡳⣉⢎⢮⡹⡜⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⢿⣿⡿⣷⣿⡯⣜⢮⢳⣌⡳⣌⠳⣍⠞⡜⡷⣎⢼⣱⣹⡇⣇⢣⡝⣌⠳⣍⢳⡎⢲⢡⢚⣵⢩⢽⡸⡌⡖⢭⢺⡇⢣⠳⣌⠣⡜⣌⠣⣕⢪⡔⡳⡸⡷⣙⢦⡛⡴⣋⠶⣩⢞⡹⣺⡍⡞⡴⣩⠞⣢⢳⡹⡜⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⢭⣚⠵⣪⠕⡮⡝⢮⡹⡜⣧⢏⡞⣴⡹⡷⣌⠳⣎⡜⠳⣌⢧⣙⢦⢃⢎⡬⢳⣺⡱⢥⠛⣆⢻⠴⣦⣷⣌⢳⡘⡔⢫⢼⠦⡭⣑⢳⣏⡳⢎⡵⢣⡝⢮⡱⢎⡷⣡⣿⠸⢥⡓⢮⡱⢣⣳⢹⣎⡽⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣿⣷⡿⣹⢎⣧⠻⣴⢫⢳⡙⡶⡱⢭⡗⣯⢺⢥⠗⢿⡘⢧⡟⣜⠳⣜⢢⡝⡼⣙⠶⣌⢣⢚⡳⣍⡳⢎⣿⠀⠄⡀⠹⣆⠳⡜⢣⢎⣷⢣⡝⣺⣧⠟⡜⣎⢗⡺⣥⢻⡱⣎⡗⣾⠫⣖⡹⢲⣙⡳⡜⣧⢞⡹⣽⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⣿⣫⢷⢻⣞⣲⢛⣬⢳⡣⡽⣱⡝⡶⣿⣜⡳⡾⠈⠸⣝⡖⣿⡜⡳⣌⠧⣜⠲⣍⠞⣭⢛⡞⡶⢽⡹⣛⡇⢠⣦⠴⡶⠬⢿⣜⢣⡞⣼⣗⣎⣿⢧⣛⢽⣘⢮⡵⢣⣗⡹⢖⡿⣸⡇⠙⢜⣳⠮⡵⣛⡬⣏⠷⣭⣛⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⢿⣯⢞⣵⣻⢮⣟⢮⣛⡶⣭⢫⢖⣫⠵⣗⡳⢮⠵⣿⣎⢷⢧⣤⣵⣯⢞⣹⡮⡕⣎⠳⣜⠳⣌⠻⣔⢫⡇⣟⠶⡹⢼⠑⣋⣶⣶⣿⣿⣿⣿⣧⢞⡴⡿⣾⣿⢎⡳⢮⡹⢶⡹⢳⢎⡽⢎⣷⢣⣽⡀⠀⠑⢧⠈⠳⣹⢎⡿⣱⢏⣾⢻⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⢿⣾⢿⣽⣻⣞⣟⡾⣭⢿⣫⢗⢮⣿⡼⢫⡞⣥⣛⢷⡹⢧⡻⣼⣿⣾⣾⣿⣿⣿⡯⠾⣷⣙⣎⣳⣌⡻⣌⠻⣌⢗⠃⢫⣞⣱⡏⠨⣿⣿⣿⣿⡿⢿⣿⣿⣿⣞⣇⢻⣟⢮⡝⣧⡻⢧⣛⡽⣎⡽⣻⢧⢏⠶⣧⣄⠀⠀⠡⡀⠈⠛⢼⡳⣏⢾⢽⡞⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⢿⡾⣏⣿⣿⣿⣿⣿⣾⣹⣏⣿⡸⣎⢷⣿⡹⣇⠿⣶⢹⡎⣿⢇⡷⣇⣿⣿⣿⠀⣿⣇⣸⠶⣇⣸⣿⠀⠀⠀⠀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣾⣷⣀⠷⢾⣀⣿⠈⢹⣿⣷⡿⣎⡹⣶⠿⣇⡏⣶⢹⡶⣿⢹⡎⣿⣸⡿⣿⣆⢀⠰⡀⠀⠀⠉⠎⢿⣆⠹⢇⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣾⢿⣻⡽⣛⡾⣏⣷⣻⣿⣿⣿⣿⣿⣷⣿⣿⢎⣷⣻⣾⣿⣿⢭⡻⣜⢧⣛⠾⣝⢾⣡⠿⣝⠿⣆⢹⡿⢃⣀⡜⣿⡟⠀⢀⠈⠄⠐⠀⡁⠠⠈⠄⢁⠂⠠⢃⢹⣿⠿⣀⡨⢻⡿⢀⡿⢋⣿⢳⣭⢳⡯⣟⡼⣹⢎⡷⣹⣿⣷⣻⢶⣣⢿⣷⣿⣷⣷⣽⣄⠀⠀⠀⠀⠉⠢⠀⠈⠙⠛⠦⠀⠀⠀⠀⠀⠀ ⠀⠰⣾⣻⡽⢾⣭⡗⡿⣭⢷⣻⢞⣽⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⡻⣼⢣⣏⢿⣹⣾⣱⢏⣟⣦⠛⢶⡿⣴⣤⢶⣻⠞⠀⠠⢀⠀⠂⠄⡀⠄⠠⢀⠀⡀⠁⠀⡑⢿⣣⢦⡶⣽⡷⠏⢠⣾⢭⡳⣮⢿⡱⣏⢾⡱⣏⣾⢿⣿⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣷⣦⣀⡀⠑⢤⡀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠙⠛⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⢸⣿⣿⣼⢳⣎⢷⣣⢟⣿⣿⣼⣚⣷⣄⠈⠉⠉⠉⠀⠀⡀⠁⠀⠂⢁⠎⡄⠐⡀⠀⠄⠐⠈⢀⠀⢀⠈⠉⠉⠉⣠⣴⣟⣧⣿⣿⡻⢧⡻⣜⣧⢻⡼⡱⢂⠉⠛⠻⠿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⠒⠋⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⣼⣿⡿⣿⣷⣮⣳⡝⣮⢳⡟⣿⣿⡀⢀⠠⠁⠂⡀⠄⠁⠠⠐⠀⠄⡈⠒⠀⠄⢀⠂⠀⠄⡐⠀⠂⠠⠈⠐⠀⡁⢀⠀⣾⣿⣟⢷⣹⢳⡝⣾⡼⢫⠜⣡⢻⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡹⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⢿⣟⣿⡿⣷⣿⢮⣷⣹⣳⣻⣿⣦⣤⠀⡀⠀⠀⡈⢀⠀⠁⡀⢀⠠⠀⠂⠀⡀⠈⢀⠀⡀⠌⠀⠁⡈⠀⢠⣴⣿⣻⣳⣎⣿⡼⡷⢛⡧⢜⠢⡙⢤⢛⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⣀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢀⣿⣿⡿⣿⣻⣽⣿⣿⠲⣌⠧⣩⠥⢻⣧⡀⢀⠀⠂⠁⠀⠂⠈⡀⠐⠀⠠⠐⠀⠁⠠⠐⠀⠂⢀⠐⠈⠀⠄⠁⠀⣴⡿⣩⠕⣎⢲⡱⣟⣰⣯⠘⢆⡙⠆⡎⡄⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡤⢶⢺⣽⣞⡿⢷⡟⠙⠿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢸⣿⣟⣿⣿⢿⣿⣿⡿⣱⢎⡳⢥⢯⢣⣿⣷⣄⠄⠀⠌⠀⠂⡀⠄⠂⠠⠀⡀⠄⠂⠀⠄⡁⠠⠀⠄⠀⠄⠈⣠⣾⣿⡷⣱⢫⢖⡣⣕⢻⣼⣿⡩⢆⡱⢊⠴⣁⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡿⠟⢙⡾⢿⣳⣏⡖⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢴⣻⣽⣾⡿⢿⢿⣿⡜⣣⢷⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⣾⣿⣿⣟⣯⣿⣿⣿⣗⣣⢞⡱⣋⢾⣣⣿⣿⣿⣿⣴⡠⠂⠁⢀⠀⠄⠁⡀⠄⠐⠈⠀⠐⠀⢀⠈⠀⣂⣤⣿⣿⣿⣿⠵⣟⡭⣲⢱⢎⡽⣾⣿⣇⠎⡴⡉⢖⡹⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⣸⠞⡯⣿⡿⢿⠷⣷⣽⣛⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣇⣿⣏⣾⣷⣯⢽⣏⠧⣞⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣯⣿⣿⣿⣿⣿⢧⡏⢾⣱⢫⢾⡷⣿⣿⣿⣿⣿⣿⣷⣦⣀⠄⠂⡐⠀⢀⠂⠌⠐⠀⠈⣀⣴⣶⣿⣿⣿⣿⣿⣿⣻⣧⣛⢖⣫⢞⡼⣿⣿⣿⡘⠴⣉⠖⣌⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⢿⣱⡿⣽⣾⣽⢞⣿⡱⡛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡷⢺⣞⣼⣿⢿⣺⣿⡹⣔⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣽⣿⣿⣿⣿⣣⢟⡳⢮⡝⣮⣿⣿⣿⣿⣿⣿⣿⢿⡿⣭⣛⠶⣤⣄⣀⣀⣠⣤⢾⡻⢽⣹⣿⢿⣿⣿⣿⣿⣿⣽⡷⣹⣎⢧⣛⢶⣻⣿⣿⣇⠳⣌⢚⠤⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣝⢲⣽⣷⠽⣿⡟⣎⡯⣵⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡍⣿⣶⣮⣶⠿⣟⠳⣜⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣾⢿⣿⣿⣿⡿⣧⢯⣝⡧⣟⠶⣿⣿⣿⣿⣿⣿⡄⢿⣟⣦⢭⡓⢧⡞⣭⢋⡷⣙⠮⣝⡺⣼⡿⠋⢿⣿⣿⣿⣿⣿⣳⢏⣞⢧⣛⡮⡽⣿⣿⣿⡧⠜⣌⡓⢦⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣎⢧⣛⠿⣿⣴⣽⣾⢱⡝⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣟⡜⣫⠽⣸⣹⣬⡷⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣟⢷⢫⣿⣿⣿⣿⣟⣧⣛⣮⢷⣫⢿⣽⣿⣿⣿⣿⣿⣻⠀⠈⠳⢮⣝⡞⣜⠶⣫⠶⣭⢳⣽⠜⠋⠀⡠⣸⣿⣿⣿⣿⡿⣭⣟⣮⣏⡷⣏⢷⣿⣿⣿⣷⣙⢦⡙⢮⣚⡄⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢶⣭⣞⡴⣩⢝⣋⢞⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⠼⠵⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣟⡳⣎⢏⣾⣿⣿⣿⣿⣳⠾⣵⣫⢾⡽⣳⢾⣿⣿⣿⣿⢯⣫⣻⠀⠀⠀⠉⠛⢼⣣⣳⢿⠒⠉⠀⠀⠀⢾⢳⣉⢻⣿⣿⣿⣟⡷⣽⡖⣯⢾⣭⠷⣾⣿⣿⣿⣯⣲⣙⠶⡭⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠾⠼⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡻⣼⣱⣋⣾⣿⣿⣿⣿⡟⣯⣟⡵⣯⣟⡾⣽⣫⡾⣿⣿⣻⢁⡇⠁⠀⠀⠀⠀⣰⢃⣿⣿⡌⢧⠀⠀⠀⠀⠈⠙⡎⣓⠻⣿⣏⣯⣟⢾⣹⣧⣟⢮⣟⢿⣿⣿⣿⣿⣷⣎⡟⣭⣳⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣳⢻⡵⣣⣿⣿⣿⣿⣿⡿⢻⠘⠯⣽⡇⠙⣾⡳⢯⣷⠹⡉⢹⠨⡇⠀⠀⠀⠀⢠⠇⣼⣿⣿⣷⡈⣆⠀⠀⠀⠀⢠⡇⢫⠉⡟⣸⠷⣞⣯⠟⢸⡽⡾⠍⢸⠛⢿⣿⣿⣿⣿⣞⣳⣭⢷⡻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣟⣧⢿⣹⣾⣿⣿⣿⣿⡿⣻⡆⢸⡆⠀⠙⠧⠀⠈⠙⠷⣽⡆⠙⣽⡄⢳⡀⠀⠀⣠⠏⣼⣿⣿⣿⣿⣷⡘⣆⠀⠀⢀⣼⢁⣧⠞⢠⣟⡯⠓⠁⠀⡸⠋⠀⢀⡿⠀⣸⣿⢿⣿⣿⣿⣷⣞⣷⡻⣝⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢻⣮⡽⣾⣿⣿⣿⣿⡿⣫⣾⢩⣿⡀⢿⣄⠀⠀⠀⢀⠀⠀⠀⠉⠀⠈⠻⣄⣻⣶⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⡞⣡⡾⠁⠀⠊⠁⠀⠀⢀⠀⠀⠀⢀⣾⠁⢰⡿⣌⠿⣝⣿⣿⣿⣿⣾⣽⣛⡾⣽⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣀⣀⣀⣤⣴⡾⣟⣿⢺⣿⣾⣿⣿⠟⢻⡝⣷⣙⣦⡟⣇⠞⣧⠘⢻⣶⣄⠀⠈⢷⣤⣀⠠⣄⡀⠀⠉⠛⠿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠿⠓⠉⠀⠀⣀⠤⣀⣠⣶⠃⠀⣠⣶⡿⠃⢠⣿⢓⡾⣟⢬⣳⣎⣿⠛⢿⣿⣿⣽⣳⣟⣾⣳⣦⣤⣄⣀⣀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠯⢷⣿⣽⣾⠿⢿⣿⣿⣿⡆⠈⣿⡹⢏⡳⣼⢾⣍⣻⣇⠈⢻⣿⣻⢦⣈⡻⣿⣿⣿⣽⣿⣷⣶⣾⣿⣿⣿⣿⣿⡻⣟⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣟⣝⣁⣤⣾⡿⣿⠁⢀⣿⢣⣿⣔⢯⢺⠟⣼⠇⢀⣿⣿⣿⡿⠿⢿⣶⣿⣾⡽⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⠀⠸⣿⣸⡿⢣⠟⡧⣄⢿⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⡼⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡿⠿⠟⠃⣸⠇⠀⣿⡻⢜⠿⣸⢿⣜⣻⡟⠀⣼⣿⣧⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡛⣾⣧⠀⢹⣶⢻⣍⡞⣱⣾⢫⣵⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣾⣿⣿⢿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣻⣿⣷⡀⠀⣰⠏⠀⣼⣏⢷⣏⡞⣡⣾⢧⡟⠀⣰⣿⣚⢿⣻⣾⡽⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⡿⣿⡵⣫⣵⣿⣿⣧⠀⠻⣭⢿⢞⣟⣵⡛⡜⣧⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⣿⣿⡟⣿⣿⣟⡿⢿⢿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣷⣰⠏⠀⣼⡟⡬⡳⡿⡻⣿⢣⡿⠀⣰⣿⣿⣏⢞⣧⣿⣻⡿⣯⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣾⣭⣝⣼⣷⣿⣿⣿⣿⣧⠀⢻⡜⡞⠸⣦⣹⣜⡹⣧⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⢭⠾⣷⣹⢿⣿⣿⣿⣾⡿⢿⣽⠾⣎⣿⣿⣿⣷⣿⣿⣿⣿⣿⠏⠀⣼⡟⣘⣶⣩⠇⢱⢎⡿⠀⣰⣿⣿⣿⣿⣿⣶⣌⣧⣿⣿⣽⡿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢻⡗⣄⠀⠈⣿⡴⡹⣧⡀⠘⣿⣿⣿⣿⣿⣿⡟⣧⣯⢿⣯⠿⠛⢉⣭⣉⠛⣿⡟⢿⡻⣭⣽⢻⣿⣿⣿⣿⣿⣿⠏⠀⣼⡟⢬⣿⠁⠀⢀⣼⡿⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣟⡶⣶⣤⣤⡀⠀⠀⠀⠀⠀ ⠈⢻⣳⡽⣯⣟⣿⣻⢿⣻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⢿⣜⡆⠀⢻⢣⣓⢹⣷⡀⠸⣿⣿⣿⣿⣟⣝⣲⣫⡿⠁⠀⠀⠹⠿⠟⢀⣿⡟⠀⠙⣯⣞⣧⣹⣿⣿⣿⣿⠏⠀⣼⡟⠼⣩⡻⠀⠀⣟⣾⠃⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⡾⣟⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣽⣳⢯⣞⣿⣿⢿⣹⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠈⢿⠁⠀⢸⣣⠊⠉⠁⠈⠢⣹⣿⣿⡿⡿⣯⣿⣿⡇⠀⠈⠐⣀⣤⣶⡿⠋⠀⡐⠀⣹⣿⣻⢿⡝⣿⣿⣏⡰⠋⠀⠉⠙⢲⣇⠀⠀⣿⠃⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⠻⣟⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⢽⣞⣽⢧⢇⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⡜⠀⢀⡾⠃⠀⠀⠀⠀⠀⣿⣿⣿⣷⣷⣿⣿⣿⡆⠠⣸⣾⡟⢋⣁⠠⢀⠂⡄⠐⣼⣿⣿⣿⣷⣿⣿⣿⠀⠀⠀⠀⠀⠘⢻⡄⠀⢸⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡟⡜⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⢺⡜⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠃⠀⣼⠁⠀⣼⢛⣳⠀⠀⣿⣿⣿⣿⣿⡟⢿⣼⢷⣥⢿⣿⡜⣿⣿⡟⣤⢓⣬⣽⢯⡟⡟⣿⣿⣿⣿⣿⠂⠀⡼⡛⣷⠀⠀⣿⡀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡟⡜⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⢣⠞⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⡟⣧⡤⡼⡣⢽⠀⠀⣿⣿⣿⣿⣿⣿⣱⡚⣿⣝⡯⣿⣿⡶⢧⣟⣶⢿⣻⡽⢏⣽⣼⣿⣿⣿⣿⣿⠄⠀⢻⡑⢯⣤⡴⢏⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡟⢬⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡶⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣶⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣄⡙⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣌⢻⣳⣛⡟⡿⣿⣳⡄⠀⠀⠀ ⠀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣳⣻⣆⣷⡹⣎⢷⣩⢷⡻⣆⠀⠀ ⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣾⣿⣵⣏⣞⡲⡽⣷⣻⡆⠀ ⣾⠀⠀⠀⠀⠀⠄⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣷⣿⡗⣿⠀ ⣿⡄⠀⠀⠀⡸⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⢀⢸⣿⢻⣿⣿⢿⣿⣯⣿⣿⣿⣿⡆ ⣏⣇⠀⠀⠀⡟⠀⠀⢀⣿⠀⠀⠀⢀⡇⠀⡾⡇⠀⠀⠀⣯⢸⣿⠸⣿⡏⠀⢿⣿⣿⣿⣿⣿⡇ ⣟⡞⣆⠀⣘⡇⠀⠀⢸⡇⠀⠀⢀⣾⢃⣼⠁⣧⠀⠀⣼⡇⣿⣯⠴⣿⠃⣀⣨⣿⣿⣿⢹⣿⡇ ⣿⢸⣏⢳⢧⣇⠀⠀⡯⠅⠀⣰⠟⣿⡿⠓⠒⢿⠀⣰⣿⣿⡿⣣⣴⣿⣿⣿⠉⣿⣿⣿⢸⣿⠀ ⢸⡝⣧⣻⡾⢻⡀⠀⣿⣴⡿⢷⠶⣿⡶⣦⣤⣺⣼⣿⣿⠟⠑⢻⡗⠛⠀⣼⠀⢸⣿⣯⣿⠏⠀ ⠈⣯⣿⣯⠀⡜⣧⠀⣷⠙⠄⢿⠉⠛⠩⢩⠁⣿⠟⠁⠀⠀⠀⠀⠑⠚⠋⠁⠀⣾⣿⠟⠏⠀⠀ ⠀⠹⣿⢻⣆⠳⡈⢷⡼⡆⠀⠬⠓⠒⠒⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣫⠏⠀⠀⠀⠀ ⠀⠀⠙⣧⡹⣷⣦⣤⣹⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠉⠻⣾⣹⡿⣷⢦⣄⣀⡀⠀⠀⠀⠐⠒⣉⣁⣠⣤⣴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠉⠳⡿⣹⣿⣿⣿⣏⠩⠙⢻⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⣿⡿⢿⣿⣷⣿⣿⢿⣿⣻⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⠟⠛⣿⣾⣿⡏⢆⢸⢸⣿⠟⡇⣬⢳⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠃⠀⣰⣿⡇⣿⣯⠉⡿⢹⣿⡄⣿⠘⠃⡹⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢏⠀⢀⣵⠏⣿⡇⣿⣷⠈⠁⢸⣿⡆⣹⢶⣂⣵⠟⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⢯⣤⡜⣰⢧⣤⣉⣀⣿⡟⠒⠒⢺⣿⣧⢾⠀⠙⡤⠞⠉⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡟⠦⣌⣽⢻⡶⢤⣼⣿⣿⠧⠀⠀⠸⣿⣷⡞⠀⠀⠙⠛⠒⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣅⣤⠾⠃⢠⣿⣷⣶⣶⣶⣶⣶⣶⣶⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⠏⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⠀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⣟⣿⠿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣞⣃⡷⠀⠙⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣿⢿⣿⣿⣿⣷⡐⡀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢍⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣷⠏⠀⠙⣿⣿⣿⣿⣜⣄⢡⡀⠀⠀⢲⢤⡀⠀⠀⠀⠀⠀⠡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡏⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣟⡻⢏⠻⢿⣿⣿⣿⣿⢿⡟⠀⡄⠀⠛⠛⢿⣿⣿⣮⢂⣣⠀⠀⠙⢖⣓⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣧⡓⠤⣺⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣇⣹⣿⡄⠈⠙⠻⢿⣿⣿⠿⡿⣿⣿⢁⣴⠀⡀⠲⡴⡀⠹⢿⡿⣷⣮⡀⠀⣰⣏⠈⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⡋⠉⣿⣻⣯⢻⣿⣟⠿⢠⣦⣜⣿⣿⣿⣷⠀⠀⠀⠀⠀⠉⢙⣓⡶⠿⠿⢿⠀⡸⣴⡇⢹⡀⢻⡀⠀⠉⠳⠄⣈⠈⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡏⣿⣿⡖⢹⣿⣿⣾⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣧⠀⢀⣠⡶⠛⠉⠀⠀⢀⣄⣸⠀⠓⡟⡇⢸⢣⠈⡟⢄⠀⠀⠀⣬⡑⠢⢄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠘⣿⣧⣿⣿⢿⣦⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡴⠛⠁⠀⢀⣄⣴⡾⡿⠛⢻⠀⢠⢃⠃⢈⠘⢧⠘⡜⣷⣄⣸⠀⠻⢵⢄⡈⠢⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⣽⣿⣿⣷⣽⣿⣿⡿⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢒⣽⡟⢋⠲⡬⠆⠸⢀⠾⢾⣀⣈⠀⡇⢇⢡⢩⡇⠙⡄⠀⠀⠀⠉⠢⢄⠑⠦ ⠀⠀⠀⠀⠀⠀⢠⠟⠉⠙⢿⣿⣟⢿⣿⡇⣠⠤⠛⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⡀⠾⡁⣄⠓⢃⡆⣇⡖⢨⣄⠀⠀⠉⠑⠓⠼⣇⣻⣾⠀⠈⢦⡀⠀⠀⠀⠀⠉⠂ ⠀⠀⠀⠀⠀⢠⡿⠘⠦⣠⣾⢿⢿⣆⢷⣿⢀⣀⣀⣀⣙⣿⣿⣮⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⠀⠉⠘⠓⢋⠉⠹⡇⡎⣿⡷⠤⣀⠀⠀⠀⠀⠈⠉⠒⠤⢀⡙⠦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠳⡈⢯⠹⣮⣿⡾⢿⠟⡿⠛⠻⣍⣻⠛⠿⠿⣿⣿⣿⡏⠁⠀⠻⣿⣧⠀⠀⠀⠈⠁⠀⡷⠀⣿⡅⠀⠈⢱⡦⣤⡀⠀⠀⠀⠀⠀⠈⠙⠚⠶⣄⠀⠀ ⠀⠀⠀⢠⢾⠑⣟⣳⡖⢶⣄⣱⡌⣯⣿⣿⣧⡘⢆⢧⡻⠇⣸⢰⠀⠀⠀⠈⠻⢦⣹⣧⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⣿⣮⠶⣠⣿⣿⣇⢸⣱⠢⣄⡀⠀⠀⠀⠀⠀⠈⠑⠀ ⠀⠀⠀⡇⣼⠀⡿⣿⣆⠈⣷⣿⣿⣿⣿⣿⣿⣿⠿⠶⢽⣻⢿⡏⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠀⠸⡜⢧⡀⠀⠀⠀⢀⡾⢱⣿⠀⣿⣿⣿⣿⡀⣇⠀⢸⠈⠑⠢⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⣿⠙⡄⢸⠘⡏⠀⢹⣿⣿⣿⣿⣿⣿⣿⣷⡒⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡄⠀⢹⠀⢳⠀⠀⠈⠁⣠⣟⣽⠀⣿⠏⣿⣽⠃⠈⢇⢸⠀⠀⠐⡟⣢⠤⠄⠉⠉ ⠀⠀⠀⡇⠀⡇⠈⠀⠘⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⡆⠈⠁⠀⠀⣰⣿⣿⣿⠀⡿⢠⡟⡿⡆⠀⠈⢿⠀⠀⠀⠉⠚⠧⣀⡀⠀ ⠀⠀⣼⡇⠀⢀⠀⡇⠀⠘⡄⢸⣿⣿⣿⣯⡛⠿⢿⣿⣿⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⡇⠀⠀⠠⠞⢋⣾⡟⢹⠀⠓⠜⠀⡇⠀⠀⠀⠈⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡞⣴⣇⢀⡼⠂⠓⡄⠀⠸⡄⢿⣿⣿⣿⣿⣷⣶⡒⠬⣉⡋⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣼⣷⠇⠀⠀⠀⢠⠎⣿⠀⢸⠀⢠⠀⢠⢣⠀⠀⠀⡰⠙⣄⠀⠀⠀⠀⠀⠀⠀ ⢸⠋⠁⠀⢹⠧⣀⣠⠇⠀⠀⠰⡸⡿⣿⡟⣿⡻⣿⣟⣶⢮⣝⣢⣝⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⣰⡃⠀⢸⠀⠈⡆⢸⠀⠘⣼⢤⣴⠋⡧⠒⠋⠀⠀⠀⠀⠀⠀⠀ ⠈⠑⡝⠒⠁⠀⡏⠉⠀⠀⠀⠀⠘⣿⠛⠛⠙⠋⠉⠛⠛⠺⠿⠥⣿⣮⠮⠰⡂⠄⣀⡀⠀⠀⠀⠀⠀⠀⢀⡜⢹⢱⡀⠈⡆⢀⡇⠈⣇⠀⠁⢸⣿⡄⢹⡆⠀⠀⠀⢀⣀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⣇⠀⡇⠀⠀⠀⠀⠸⡓⢤⣀⡀⠀⣀⠀⠀⠀⠀⠀⠈⡇⠀⠃⠀⠱⡈⠉⠒⠢⠤⠤⠴⠋⠀⡈⠀⠱⠀⢷⠸⠀⠀⠘⡄⠀⠈⣿⣧⠈⣧⠔⠂⠉⠁⠀⠀⠀⠀ ⠀⠀⢱⠀⠀⠀⢸⠀⢣⠀⠀⠀⠀⠀⢧⠈⢇⢻⣉⡩⣷⣋⣳⡴⠆⠀⠀⠀⠀⠀⢀⠘⣴⣤⣀⠀⠀⠀⠀⣰⠃⠀⠀⢳⠘⡇⠀⠀⠀⢻⡀⠀⢹⣿⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠀⢸⠀⠀⠀⠀⠀⠘⠶⠋⠋⠀⠉⠉⠀⠉⠀⠀⠀⠀⠀⠀⠀⣸⠀⠘⣿⡬⠷⠺⢶⡖⡡⡀⠀⠀⠀⣼⠁⠀⠀⢀⡾⣷⠀⠘⣿⡇⠈⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⡄⠈⡀⠀⠀⠀⠀⠀⣀⢀⡀⠀⣀⣀⣀⣤⣤⣶⢀⠔⢰⠃⡰⠁⢶⣤⠆⠀⠀⠀⠀⠀⠑⢄⠀⠀⢰⣯⣤⣴⡞⢹⠀⠘⡇⠀⢸⢀⡤⠤⠓⠒⠒⠒⠂⠀⠀ ⠀⢤⡀⠘⠄⠀⠀⢇⠀⡇⠀⠀⢀⡠⠊⠙⡏⣿⣿⠹⡄⠀⣿⠞⣡⠋⠲⠃⣼⢁⡀⠀⠈⠀⠀⠏⣳⠀⠀⠀⠀⠙⠦⣸⣷⡈⣿⡇⠈⡶⡒⠃⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠸⠀⢹⢀⠔⠋⠀⠀⠀⢣⡽⠛⠓⠊⣉⠵⣮⣏⣀⡤⠞⠈⡇⠙⣄⠀⠀⠀⡼⣲⠷⣦⣄⠀⢀⡴⣼⡿⣧⢹⣷⠀⣷⣧⠀⠈⢿⠢⡤⠤⢤⡤⠤⠤⠀⠀⠤ ⠀⠘⠀⠀⠀⠀⠀⡇⠀⠀⢃⠀⠀⠀⠀⠀⢰⣶⢻⣿⠁⠀⠀⢹⣿⠀⣷⠀⠀⠀⠀⢸⠀⠀⠸⣰⣡⣤⡤⣍⠻⠏⣴⡿⢡⠟⣿⣾⠋⠹⡼⡇⠀⠈⠆⠃⠀⠀⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠖⡇⠀⠀⠈⢃⠀⠀⠀⠀⠀⣿⠈⣿⡀⠀⠀⢸⣿⡄⢹⡀⠀⠀⢀⣟⢦⡠⢵⣿⡛⣿⡇⢨⣷⢄⡿⣡⣇⢠⡰⡌⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀ ⠀⠀⠤⠚⠁⠀⠀⣇⣄⠀⠀⠈⢣⠀⠀⠀⠀⠃⠀⣯⡇⠀⠀⠘⣿⣇⠸⡇⠀⠰⢿⠀⠹⡙⣾⡿⣿⢯⠁⢉⡆⢀⠷⣹⣾⠀⢰⠃⢀⣠⠔⠙⣧⠀⡄⠀⠀⢀⡠⠛⢆⠀⠀⠀ ⠀⠀⢇⠀⠀⠀⠀⣴⠜⡓⠲⡄⠚⠀⠀⠀⠀⢸⠀⣿⣇⠀⠀⠀⣿⣿⠀⡇⠀⠀⡏⠀⠀⡿⣿⡿⢿⣿⣀⡸⣃⡞⠀⣿⠋⠑⢞⠉⢻⠀⣇⡀⣸⢧⠧⠒⢺⡉⣇⣀⣸⡄⠀⠀ ⠠⣄⣈⡄⠀⠀⠀⠀⠀⣇⠀⠇⠀⠀⠀⠀⠀⢸⠀⣿⡏⠀⠀⠀⢻⣿⡇⣷⠀⢠⠁⠀⡠⠃⠋⠛⠀⠹⡿⠒⢼⠀⠀⡏⠀⠀⠈⠳⡀⡄⢸⢀⡘⣾⣆⠀⠀⡇⢰⡘⣧⠙⡄⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⢸⡀⢸⠀⠀⠀⠀⠀⢸⠀⢿⣿⠀⠀⠀⢸⣿⢳⢸⠀⢸⠀⣰⠁⠀⠀⠀⠣⣈⢻⡀⢸⠀⣾⠋⠀⠀⠀⠀⠘⣇⠈⡿⠁⠘⣟⣆⠀⢠⠘⣷⠘⣧⠹⡄ ⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⡇⠘⢣⠀⠀⠀⠀⢸⠀⣸⣹⢸⠀⠀⢸⣾⠘⣿⠀⡆⢠⠃⠀⠀⠀⠀⠀⠈⢧⠣⠾⢠⣟⠀⠀⠀⢀⣤⣶⣿⠀⠃⠀⠀⠘⣿⡆⠘⡆⢻⢣⠹⣧⠱ ⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠁⠀⠀⠱⡄⠀⠀⠸⠀⡿⡿⢸⠀⠀⢸⣿⣀⣿⣆⢇⠏⠀⠀⠀⠀⠀⠀⢀⣨⡇⠀⢸⠛⢦⣄⣴⣿⣿⣿⣿⡄⢸⠀⠀⠀⠘⣿⣀⠃⠸⢧⣇⠙⡆
⣿⡿⣿⠿⠟⠻⠿⠿⠿⠿⠻⠿⣿⣿⡿⠛⢿⣻⣿⣿⣿⣿⢿⣿⣿⡿⠛⣿⣿⣿⠋⢛⣿⠋⢟⣻⡍⢯⠙⡄⣊⠙⠫⠔⣈⠿⣿⡟⢻⣿ ⣿⡇⠉⠀⠁⠁⠀⠐⢀⠔⠁⠀⡿⡄⠀⠀⠀⣜⡁⢘⠟⢣⢉⡿⡄⠀⠀⠀⣿⡷⣈⠚⠻⠋⠉⠖⡩⢢⠍⡔⢢⠡⣷⠂⠈⠈⠁⠚⠖⢲ ⣧⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣼⠗⢠⣶⣤⣾⣿⠄⠀⠀⢠⣟⡷⡴⠖⠢⣿⣧⠀⠀⠀⠀⠀⢀⣴⣷⣾⣿⣧⠩⠴⢢⢄⡀⠀⠀⠀⢀ ⣿⣧⠀⠂⡌⠑⠮⠀⠔⢱⠀⠐⣇⣠⣿⣿⣿⣿⣿⣶⣶⣶⣾⡮⠋⠀⠀⠀⠈⠋⠀⠀⠀⠀⣏⠾⡟⣿⣻⢿⣹⡖⠈⣳⣿⣿⣷⢴⡀⠦ ⡿⢿⠛⠳⡆⠀⠀⠁⠀⠀⠀⠀⠹⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣄⠆⠀⠀⢯⡎⣭⣮⠧⣯⣒⡑⢷⠾⣿⡿⡡⢆⡙⡒ ⡇⠀⠈⢐⠛⠀⠀⢀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣟⣿⣻⡻⣿⣿⣿⣿⣿⣿⣿⣷⣟⣤⢀⠲⣞⠶⡜⢧⣛⢏⣿⢟⣼⢟⣶⣷⣶⣷⣎⡵ ⣧⣶⣤⣧⢤⣜⣛⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⡿⢟⢛⣻⣿⣿⣿⣿⣿⣷⣿⣻⣟⣾⣳⣌⢻⡹⢾⡠⣈⡟⡽⣌⡻⠼⣿⣿⣷⢿⣶ ⣿⣿⡄⠀⠘⢻⡏⣉⡝⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠙⣬⣼⡟⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠉⢻⢆⢧⠳⣜⣳⢎⡄⣀⣽⣿⠋⠀⡅ ⣿⣿⣤⣦⢼⠾⣿⣶⣼⣿⣿⣿⣿⣯⣾⣿⡋⠁⠀⠀⠀⠀⢸⢹⣽⣿⣿⣿⡽⡄⠀⠀⠀⠀⠀⠀⠈⣏⢎⠏⠉⣱⠫⠞⢻⣿⣿⣿⣴⣧ ⡏⠉⠉⠇⠀⢹⣷⣷⣾⣿⣿⣿⣿⠙⢅⢳⠁⠀⠀⠀⠀⠀⠘⠜⣿⣿⣿⣿⣗⢹⡂⠀⠀⠀⠀⠀⠀⣏⢾⣟⢯⣵⡗⢴⣻⢻⡿⡛⠻⠇ ⣇⣀⣀⡾⠶⢿⣽⣿⣿⣿⣿⣿⣿⣶⣶⠏⠀⠀⠀⢠⠄⡄⡄⠠⠉⢿⣿⣿⣿⣧⠒⠀⠀⠀⠀⠀⣸⡽⣲⣿⣾⣷⡧⠀⢨⣿⣾⣶⣤⡆ ⣿⣿⠙⠒⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⡤⠤⠽⠾⠅⠁⠀⢸⣿⣿⣿⣿⣫⠀⠀⠀⠀⢠⣿⣽⡳⠛⢿⢯⣟⡿⣦⡿⣽⡾⠙⠛ ⣿⣿⠃⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⢀⠀⠀⠀⢸⣿⣿⣿⣿⡿⡄⡀⠀⠀⣾⡿⠞⠁⠀⣊⣿⡾⣽⣳⣿⣿⣄⠀⠀ ⡿⠿⠿⣷⣐⣄⣿⣿⣿⣿⣿⣿⣿⠛⢟⢿⣿⣿⣿⣿⣷⣤⢄⠀⠀⣼⣿⣿⣿⣿⡏⠜⡄⠀⣼⣿⣇⣀⢠⡾⣧⣼⣿⣷⣿⣿⣿⣿⠶⡿ ⡧⠀⠀⢙⡿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠈⢳⢙⢿⣿⣿⣿⣿⣷⠀⢠⣿⣿⣿⣿⣿⡇⠀⠱⣧⣿⠿⣿⣿⣿⣿⣿⢿⣿⡿⠉⣹⣿⣿⣖⡁ ⣷⣶⣤⣏⣧⣿⣿⣿⣿⣿⡿⡟⠀⠀⠀⠀⠙⠊⢿⣿⣿⣿⣿⡶⣼⣿⣿⣿⣿⣿⠆⠀⢀⣿⠈⠀⠉⢻⣿⣿⣿⣚⣿⢷⣶⣿⣿⠿⠻⢷ ⣿⣿⡅⠁⠘⢿⣿⠏⠁⠀⢠⠁⠀⠀⠀⠀⠀⡰⣿⣿⣿⣿⣿⢎⣿⣿⣿⣿⣿⠱⠈⠀⠇⠀⠀⠀⠀⢘⣿⣿⣿⡿⣿⣿⣿⣿⣿⠄⠀⠀ ⣿⣿⣥⣤⣰⣿⡏⠀⠀⣀⠂⠀⠀⠀⠀⢀⡼⢣⣿⣿⣿⣿⣿⢨⣿⣿⣿⣿⡟⡇⠀⠀⠀⠀⠀⢀⣴⣼⣿⣿⣿⠱⠤⢴⢘⣼⣿⣷⣀⣄ ⡟⠙⠉⢟⠉⢙⣇⠄⢀⠌⠀⠀⠀⠀⢀⣾⢧⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⠀⠀⠀⣆⣤⣼⣾⣿⣿⣿⣿⣿⣷⣷⣦⣽⣯⣥⠷⡎⠇ ⣟⢀⠀⣴⣶⣾⣿⡿⠓⠀⠀⠀⠐⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⢀⣿⣿⣿⣿⠟⠛⠛⠉⠀⠀⠀⠉⠙⢿⡺⢩⣶⠁ ⣿⣿⡿⠿⠻⠿⠋⠁⠀⠀⠁⣤⣿⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⣸⣿⣿⡿⠋⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢐⠅⠘⠚ ⣿⣿⠗⡀⠀⠀⠀⠀⠀⠀⢠⣀⠭⠤⣐⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡿⠿⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠈⠀⠀ ⣿⡇⠊⡢⢣⠀⠀⠀⠀⠀⠨⠚⢭⠽⠆⠙⢅⠉⢩⣩⣟⣭⡉⢻⠿⠟⠙⠀⠠⠄⣰⡿⢖⠎⣸⡆⠀⠀⠀⠀⣤⣤⣦⣴⣶⠒⡞⠀⠀⠰ ⣿⡀⠀⠀⠨⠙⡖⡀⠀⠀⠀⠜⣼⠄⠀⠀⠠⣿⣾⠷⠋⠳⢾⣿⡆⠀⠀⠀⢚⡾⠠⠋⠑⠾⣿⡷⠀⠀⠀⠈⠉⠉⠉⠁⠈⠀⢀⠀⠀⠀ ⣿⣿⣷⣦⣤⣤⡐⠁⠀⠀⠀⠐⣿⣷⣶⣷⣶⣿⣷⠀⠀⠀⢰⣿⣷⣾⣿⡔⣨⢯⠀⠀⠀⠰⣿⣿⣦⡀⠀⣀⠀⠀⠀⠀⠀⣤⣼⣶⣾⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⣿⣿⡿⠿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣼⣿⣀⣤⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣷⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠟⢻⣿⣿⣿⠏⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⢿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠁⠀⣾⣿⣿⡟⠀⠀⢿⣧⣠⣤⣴⣶⣶⣶⣶⣶⣶⣶⣦⣤⡿⠋⠀⠀⠹⣿⣿⣿⡇⠙⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣇⠢⢰⣿⣿⣿⠃⠀⠀⠤⠛⠟⠛⠉⠉⠀⠀⠀⠀⠀⠈⠉⠋⠀⠀⠀⠐⡄⣿⣿⣿⡇⠀⣠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣼⣿⣿⡟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢽⣿⣿⣧⣾⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⡏⣄⠀⠀⢀⣠⣷⣶⣶⡆⠀⠀⠀⠀⢠⣶⣶⣦⣤⣤⣠⡀⠘⠸⢿⣿⡿⠟⠛⣩⣴⣾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⣶⣦⣤⣄⢀⣿⡏⠀⠀⠰⠿⠿⠛⠉⠉⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠃⠀⠀⠘⢿⣷⣾⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣦⣀⠈⠉⠛⢳⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣷⣷⡿⠿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣦⣾⣿⣤⡀⠀⠀⠀⠀⠀⠀⠰⢶⡿⠀⠀⠀⠙⢿⠯⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠉⠛⠛⠿⠿⣶⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣯⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ඞ
⠀⠀⠀∧‌ ‌∧‌ ‌ ‌ ‌ ⠀⠀⠀‌(*^∀^)‌ ‌ ‌ ‌ ‌ ‌ ‌ ⠀|‌ ̄‌U‌ ̄‌U‌ ̄‌ ̄‌ ̄‌|-┐‌ ‌ ‌ ⠀‌|‌ ‌ ‌♡︎‌ ‌♡︎‌ ‌♡︎‌ ‌ロ‌|‌ ⁽ʸᵒᵘʳ ᵗᵉˣᵗ ʰᵉʳᵉ ♥⁾ ‌ ‌ ⠀‌|‌ ‌ ‌ ‌ ‌ ‌¨¨¨¨‌⠀|⠀-┘‌ ‌ ‌ ⠀ヽ‌_‌_‌_‌_‌_‌ノ‌
⠀ ⠀⠀⠀⠀⣾⣿⣿⣷⣄ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣄ ⠀⠀⠀⣀⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⢇⠠⣏⡖⠒⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⢀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⢸⣿⣿⡿⢋⠁⠀⠀⠀⠀⠉⡙⢿⣿⣿⡇ ⠀⠀⠘⣿⣿⠀⣿⠇⠀⢀⠀⠀⠘⣿⠀⣿⡿⠁ ⠀⠀⠀⠈⠙⠷⠤⣀⣀⣐⣂⣀⣠⠤⠾⠋⠁ ⠀
⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀ ⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠁⠩⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡁⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⠉ ⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢫⣿⣿⣿⣿⣇⢹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⣠⣀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⢂⣠⣤⣴⣿⣿⣿⣿⣮⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠕⠶⡿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠋⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣿⣯⣽⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⢹⣯⣴⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⢻⡇⠀⠀ ⠀⠀⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⡉⠻⢿⣿⣿⡿⠟⡀⠐⠐⠀⢀⣿⣿⡿⠿⠛⠙⠻⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢁⣼⣿⣿⣿⣿⣿⣿⡇⠀⢳⠀⠀ ⠀⠀⠋⠁⣼⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⡷⠁⢱⡶⣄⠮⠒⢀⠀⠀⠉⢀⡀⢀⣀⣤⣤⣿⠿⠿⠟⢿⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠃⠀⡼⠃⠀ ⠀⠀⠀⠀⣧⠀⣹⣿⣿⣿⣿⣿⣿⣿⣷⡇⠈⠔⡀⠒⣉⢘⠔⠀⠀⠐⢠⠍⡈⠈⠙⡹⡟⡿⢯⣷⡏⠀⠀⠀⠀⢀⠀⣀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡴⠟⠁⠀⠀ ⠀⠀⠀⠀⢹⣇⡀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣧⠰⠠⢨⠁⠀⠌⠀⠀⢂⠀⠑⠀⠷⠾⠿⠿⠿⠿⠛⠃⠀⠐⡀⡀⡀⡠⡀⡠⠠⠄⠈⢽⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠷⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣀⠂⢀⠀⠂⠐⠐⠐⠁⠂⢀⠀⠀⠄⢀⢀⢂⡤⠂⣄⠇⢄⢳⣠⢖⢮⡦⠀⣤⣿⣿⠿⠛⠉⠛⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡛⠪⠤⠐⠈⠀⢱⢔⠀⠁⡉⠀⠑⠁⠀⠤⣢⡴⢴⣢⣡⣶⠕⢟⣴⠷⠪⠑⠜⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠘⠻⣿⡏⠙⠿⣷⡀⠀⠀⠀⠰⠀⠶⠄⠳⡡⠭⠊⠒⠐⢳⠶⢯⠀⠚⢀⣑⠚⡈⠀⢀⣈⡴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⣾⣾⣶⣤⣀⣁⡁⡂⠙⠐⢠⠠⢈⢀⣈⣀⣄⣷⣷⣶⣶⣒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣷⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠙⢿⣧⣾⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡶⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⢀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠦⣤⣤⣯⣤⠼⠛⠛⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠦⠤⠤⠤⠴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⣿⣟⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣟⠘⡧⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
(\\.__/ ) (UwU) _/ _`_/ \_ / `/ Y Y \ (| = `_W _/_ | | --)\\- ` / \____> .____/ |(== / < /\`--/\\ / ^ ^ \\

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

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