Rust Unicode Wave Function Collapse

Updated version of this repo written in rust.

usage

$ cargo build --release

$ .\target\release\uwfc.exe --help
Create pattern with wave function collapse.

Usage: uwfc.exe [OPTIONS]

Options:
      --height <VALUE>  height of generated pattern [default: 10]
      --width <VALUE>   width of generated pattern [default: 10]
      --n-iter <VALUE>  how many patterns generates [default: 1]
  -h, --help            Print help
  -V, --version         Print version

Results

$ .\target\release\uwfc.exe
...
╔╗╠╬╡└┼┬╥┐
╠╬╬╩╡ └┼╨┤
╩╣║ └┬╥┤┌┴
╥╨╨┬┐╞╣│└┬
╚╦═╡│╞╣╞═╡
─╨┐╞╡╞╩╡ │
─┬┘│╞╡ └─┘
╦╡┌┴┼┴╥╥╥╥
╝│├╥┘ ║║╠╣
┌┤│╚═╦╬╩╩╩


UWFC size of (10, 10) took 0.2097408 seconds

$ .\target\release\uwfc.exe --height 20 --width 50
...
╥╥╨╥┘╞╝├┬┐└─┘ ╞╣┌┬┬─╥╥╥┤╔╗ ╔╡└╥┤ ╔╣├┬┴╥┘║╠╡├┤┌╥╥┘└
╝╚═╣ │ ╞╡└╥╥╥╥┼╨┼┤╞╗╚╝║╞╣╚╦╬╡ ╚╡ ╠╝│└┐║ ╚╝├┘└┘║╚══
╥╥┬╨─┘ │╞═╩╩╩╝└╥┼┤╞╩╗ ╚╡╠╦╝╚╡ ╔╡ ║┌┼┐└╨┐┌┐└┐ ┌╨╥┐
╩╝└╥╥╥╥┘└╥┬───┐║╞╡╞╗╚═╗├╨╨┬┬┘ ╚╡ ╚╡├┴╥┬┤└┴─┘ └╥╨┘
┌┐╔╬╩╩╩══╝│┌─┬┘║└┘╞╣╔═╝├─┬┤│┌╥╥┴╥┐│└┬╨┴┼╥╥╥╥─╥╨╥╥╥
╡╞╩╝┌┬──┐ ╞╡ ╞╦╩╗╔╡╚╝ ┌┴┐└┤│╞╝║╔╩╡│┌┴┬┬┘╚╩╝╚═╩═╩╩╣
┴┘┌─┴┤ ┌┼┬┴┤ │╚╗║║└╥╥╥┤╔╡╔╡├┼╥╨╨╥┼┼┴─┴┴─┬╥╥╥╥╥┐┌─╨
╥┬┴┬┬┤┌┘└┼╥┘ ╞╗╠╬╬╗╚╣╚╡╠╡║│││║╔╗╚╡└╥┬┐╔╗╞╬╝╠╣╚╡├╥╥
╝╞╦╡╞╡└╥┬┼╨─┐╞╩╣╚╬╬╦╝╔╡║├╨┼┤╞╝╚╩═╡╔╝├┤╚╩╡║╔╣║ ├┘╚╬
╥┴╨┤├┘ ╠╡└──┘╞╦╬╗╠╝╠╗╚╡╠╡╔╡╞╡ ┌┐╔╡╚═╡╞══╡╠╬╬╝ └╥┐╚
╣ ┌┘├╥╥╨┴╥╥╥╥┘║╚╬╝ ╠╩╦╡║╞╬╡│└┐│╞╩╡╔╦╡│  ╞╬╝╚╦═╗║└╥
╬╗╞═╡║║╔╗╠╝║╚╦╬╦╣ ╔╬╦╣│╚╡╠╡├─┼┤└╥┼╨╨┴┼╥┬┘║ ╔╩═╝╚╦╩
╩╣│ ╞╬╩╝║╠╦╩╗╠╬╬╣ ╚╝║║├┐╞╝│└─┴┘┌╨┘╔╦═╡║└╥╨─╨┐ ╔╦╣
╦╣├┐╞╩══╝╚╩═╬╩╝╠╬╦╗╔╣╚╡└┘ └╥╥╥╥┼─╥╨╨╥┘╚═╩╗╔═╡ ║║╠╗
╬╩╡└┘╔╗╔╦╦╦═╬╦╗║╚╩╣╠╝ ╞╦╦═╦╬╬╬╝╞═╩╗╔╩═╗╔╦╩╝┌┼┐╚╝║╠
║ │╔═╩╩╣║║╠═╬╣║║╔╦╬╝╔═╡╠╝╔╣╠╣╚╦╡┌╥╨╨╥╥╨╨╨┬┬┼┤╞╦╗╠╩
╨─┤╠═╗ ║╚╝╚═╬╩╩╝║╠╬╗║┌┤║╔╣║╠╬╗╠╡│║╔╦╝╚╦╗ ├┤│└┴╨╨╨┐
══╡╚╗╠╗║┌┬┐╔╩╦╗╔╬╬╬╬╣└┤╠╬╬╝╠╩╝║│╞╣╠╬╦╦╩╝┌┤└┴┬┐╔╦═╡
─┐╞╗╠╝╠╩╡╞╡╠╦╬╬╣╠╣║╠╝ ╞╣╠╬═╩═╦╬╡╞╝╚╬╬╝ ╔╡└┬─┼┼╨╨┐└
┐└┤╠╩╦╝┌┴┘╞╣╚╝║╚╣╠╬╩══╡║╚╩══╦╣║└┴┐┌╨╨┐┌╨┴╥┤ ├┼─╥┘┌

UWFC size of (20, 50) took 5.117518 seconds

$ .\target\release\uwfc.exe --height 100 --width 100
...
╞╩═╩╝├┬┴┘┌┬┴╥─┼┐└┘╚╩╬╬╝║╞╝ ║╞╡┌┐╞╝╞╣│┌┬┴┬╥╥─┤ ╞╬╩╩╝║│╚╡│╞╗ ┌╥┬╥╥┐╞╣╠╬╣├╥┤╔╡╔╬╣╞╡╔══╩╡  │╞╡├┘╚╡╚╡└┤╠╣
┼┐┌┬┬┘╞╗ ├┘╔╣┌┤╞════╝╚═╝╞═╦╣├┴┴┴┘ ╞╝├┼┤┌┤║║ ├┬┘║ ╔═╝└┬┼┤│║ └╨┘╚╝│╞╝║╚╣╞╝╞╝╞╬╩╬╡└╨╥╥┬┼┬─┼┼┤╞═╗│╔╡╔╡╚╩
│├┼┴┘┌┘╚╗╞═╩╩╡├┴┬┬╥┬╥╥╥╥┴┐╠╝└╥╥╥┐┌┘╔╡│╞╡╞╩╩╦╡├┐╠═╝╔══╡└┤├╨╥╥╥┬┬╥┴┤ ║╔╩╡ └┬┘╠═╩╡  ║╚╡├┘ └┘╞╡╔╝│╚╡╚╡┌╥
╞╡└┐ └╥╥╨┘┌─┐╞╡ │╞╩╡║╠╝║┌┘╚═╦╝╚╝└┤ ╠╡│├┘│  ║╞╡├╨┐ ╠══╡ ╞╡╔╣╠╩╡├╨╥┼╥╨╨╥┴╥┬┘┌╨─┐├╥╥╨╥┴┴┬╥─┬┴┴╨┐└╥┘┌┤╞╩
╡│ └┐ ╚╝  ╞═╡├┘ ├┤ ╞╩╩╦╝└┐╔╦╣┌─┐┌┤ ╠╡│╞╦╡  ╚╡╞╡ ├╥╨┬┐├┬┘│╚╣╚═╡│ ╚╡║╔═╩═╬╡ └┬╥┤╞╬╬╦╣┌┬┼╨┐│ ┌╥┘ ╚╗├┼┼╥
┤├╥┬┼┬╥┬─┐╞╦╡│  ├┤┌┘  ╚══╡╚╩╝└╥┴┤╞╗╚╡││╚╡   │├┤┌┘║┌┤├┼┼┐└─╨╥┬┼┼╥╥┼╨╨─┬┬╨┘ ┌┤╚╡╞╩╩╝╚╡├┴┐└┴─┤╚═╗╔╩╡│├╨
│╞╩╡│├╨┼─┘╞╝├┼╥╥┘└┼╥┬╥┐╔╗├╥╥╥┬╨─┤╞╣┌┼┤│┌┼┬┬─┘╞╡├─╨┘│└┘╞╡   ╠╡├┘╚╝└╥┬─┼┤┌┐┌┼┘ │├╥╥┬╥┼┴┐└─╥╥┼┐╔╬╬═╡├┘┌
┘╞╗└┤╞╗│┌┬┼─┤│╠╣╔╗╞╝╞╝╞╩╣╞╩╣║└─╥┘│╠╡├┴┘╞╡├┘┌─┴┤└╥╥╥┤╔╦╡├┐  ╚╡├╥╥┬┬╨┼╥┼┼┘╞╡├┐ └┤╚╩╡║└╥┴┐╔╩╝├┘╚╝╚═╡│╔╡
╗╞╣┌┤╞╣│╞╡└┬┴┤╚╝╚╩╡ └─┼┐╠╡┌╨╨╥╥╨┬┴╨┘└┬╥┘├┤ └┬─┤ ╚╝╚╡╚╩╡│├┐┌┐└┘╚╝╞╡ └╨┤├┐│├┼┘┌─┼╥╥┼╨┬╨─┤╚══╡┌╥─╥─┼┘╚╡
╝│║│└┼╨┤│└┐└╥┴╥┐╔╗│┌─┐││║└┤╔╗╠╝ └╥┐┌╥┼╨╥┼┤ ╔╡┌┼┬┐ ┌┴╥┬┼┤└┼┼┤┌╥─┬┘├╥╥┬┘├┤╞╡│ ├┬┘╚╩╡┌┴╥┬┤  ┌┘╞╣┌╨╥┴╥╥┴
╥┴╨┤ └─┤├┬┤ ╚═╝╞╩╬╡╞╗└┤│╠╗╞╩╝╠╗╔═╬╡╞╝└╥╨┤└─╨┤│├┴┼┐├┐║│└┘┌┘││├╨╥┼─┘╚╣└╥┘╞╡├┤╔╡└┬┐ ├┘┌╨┼┤┌╥┴╥┴╨┘ ║╔╝║┌
╨┬╥┼╥─╥┴┘╞╡┌┐  ╞╦╩╡╞╝ │├╨╨┴┬┐╚╩╩═╝└┘┌┐║╔╡ ╔╦╡╞╡┌┤╞╡└╨┤┌╥┴╥┤╞╡╔╬╡╔══╩═╝ └┼┘╞╝└─┘├╥┼╥┤╔╡└┴╨─╨╥╥╥╥╨╨╥╨┼
┐╞╝╞╬═╣┌─┼┼┼┼╥╥┤╚╦╡└┬─┼┤┌╥╥┴┼┬╥╥┬┬╥╥┼┤╠╝├┐╚╩╡└┘╞╡│└┬┬┴┤╚╦╣│└┴╨╨┴╨┬╥╥╥╥┐╔╡╔╡┌╥╥┐│║└╨┤║├╥─┬┬┐╠╩╩╩╗┌╨╥┼
┘╞═╡╠╗║└┬┘││╞╩╝╞═╣└╥┘┌┴┤╞╣╠═╡╞╝╚╡│╠╣├┼╨┬┼┼╥╥┼╥╥┴┴┴┐│╞╗│╔╝╠╡┌╥┬┬╥┐│╠╬╝╚╡╠╡║├┤╠╣│└╨─┐╞╝│╠╗│├┴╨─╥┐╚╡╔╝│
┬┼┬┤║╠╬╗│┌┴┘╞╗ │ ╚═╩═╡ ╞╡╠╩╗├┼─┬┤│╚╝└┴╥┤├┤║╠╡╚╣┌╥─┘└┘╚╡╚╦╬╡│╚╡│║└┴╨╨──┘╚╡╚╡└╨╨┤┌╥┐└┴╥┤╠╣├┘╔╦═╝├╥┼╨╥┤
└┴┼┤╚╩╩╝│╞╦╗└╨╥┤┌╥╥╥╥┴┬┼┤╚╦╩╡╞╗││└─┬─╥╨┘├┤╠╬╡ ╠╡╠══╗╔╦╡╔╬╬╡└┐├┴╨╥╥───┐┌╥┼─┴╥──┘╞╩╡┌┐╚╡║║╞╗╠╣ ┌┤╚╡╔╩╡
╥─┼┼┬╥┐╔╡╞╩╩╦╦╝││╠╩╝╠╗╞╡├┬╨┐│╞╝└┼┬┐└┬╨┬╥┤╞╩╝╞╦╣│║╔╦╣╚╩╡║╠╣├╥┼┴┐╔╬╩═╦═╡│╚╡┌╥╨┬┬┐└╥┤│├┐╞╩╬╡╠╝╠╦╡├┐│║┌┤
╩╦╡├┤║╞╣├┼┬─╨╨┬┴┘╚══╩╩╡│└┴─┴┘└─╥┘╞╡ ╞╗╞╝└┼╥┬┤╚╝│╚╩╝╚══╡╚╝╠╡╚╡ │╠╣╔╦╬═╡├┐└┤╠═╡╞╡ ╠╡├┴┤│ ╠╡╠═╩╩╡╞╡╞╩╡╞
─╨┘├┘╚╡║│└┼╥╥─┼╥╥┐ ┌╥╥┘├╥─╥┬╥╥─╨─┴┼╥┼╨┴┬╥┼╨┼┼┬┬┼╥╥╥╥╥╥┘╔╦╬╡┌┴┐╞╝╚╩╬╣┌┘└┼╥┘╚═╡└┴╥╨┴┤┌┤├┐║└╨╥╥┬┤╞╡└┬┤╞
┌┬╥┘  │╚╡┌┤╠╬╦╡╠╝└┬┘╚╝ │╚═╩╡╠╝  ╔═╡║└╥┐╞╬╡ ├┼┼┴┘║║║╚╣╚╦╩╝╠╡└─┤├┐  ╚╝├╥┬┼╨╥╥╥┴┬┐║╔═╡╞╡└┼╨──╨╨┼┴┼┴─┘││
╡├╨┐┌╥┼─┼┤╞╣╚╝└╨┬╥┴╥┬╥╥┼┬──┴╨╥╥─╨─┘╚╗╚╡└╨┴╥┘└┼┬┐╚╝╚═╩═╝┌╥╨┼┐┌┘│╞═╗  ╞╩╡├┐╚╩╣ ├┤╚╝┌┘└┼─┘┌┐┌╥┬┴┐└┬─┬┼┤
┘│ ╞╡╚╡┌┼┤╞╝┌╥─┐│╚═╩╡║╠╡└┐┌┬╥╨╨─╥┬┬┬╨┬┴╥╥┐╚╗ ╞╡└╥╥┬╥┬╥╥┘╠═╡└┴╥┤└┬╨┐ └╥┤│├──╨─┤├╥┐├┐┌┘┌─┤│├╨┼┬┴┐└╥┘└┴
┐│┌┤├╥┼┴┘│└╥┤║┌┼┼╥╥┐└╨╨┘┌┤│╞╝┌╥╥╨┘╞╡ └┐║║╞═╣┌┼┤ ╚╝│║│╚╝╔╩╗└┬╥╨┘╔╡ │┌┐╠╡├┴╥┬╥╥┼┘║╞╡├┴─┴╥┘├┘ ╞╡┌┘╔╩╦╦╦
╡╞╡││╠╡┌┐│╔╝╞╝└┴┘╠╝└─╥┬╥┘├┘│┌┘╚╬╗ ││  ╞╩╝└┐║╞╡╞╦╦═╡║└╥┬╨╥╨┐│╠╦╦╝├┬┴┘╞╩╡│╔╩╡╠╣│╔╬╡├┼╥╥╥╨┐├┐┌┘└┤╔╣ ╚╝║
┘├┼┼┼╨┤│╞╡║ ├┬┬┐ ╚╦╗╔╣╞╬═╡┌┤└╥┐╠╬═╡├╥╥┼╥╥╥┤╠╡│└╨╨─┘╠═╣╞╦╬╦╡╞╝╚╝ ├┼┐┌┴─┘│╚╦╡╚╬╡╠╩╡│╞╝╚╣ └┤├┼┐╔╡╚╝┌┐┌╨
┬┴┤├┴┐╞╡│╞╝ └┘╞╡┌┐║║╚╝╞╣ │├┘ ╚╡╠╝╔╡╞╝╠╡╚╣╠╡╚╡└┬┐┌┬┐╚═╝╞╩╣╠╡└╥──┐│└┼┼╥╥╥┴┬╨┼─╨┴╨─┼┘├╥┐║  ├┼┤│║├╥┬┼┘│╔
└┬┘│ │└┤╞╡┌╥─╥┼┼┘╞╩╣  ╞╬═╡╞╦══╡╠╗╠╡╞═╬╡ ╚╩╡ └╥┤│├┼┘╔╦═╡╔╩╬╡╔╩═╦╡├─┼┤╠╝║┌┴┐└┬───╥┴┬┘║└╨┐┌┘└┘└╨┤╚╡╞╗└╨
 ├┬┤┌┤ ││├┘╚╦╣╞╡┌┴┬╨─┬┘║ ╞╡╠╗╔╡╚╣╚╡└╥╨┼─╥╥┴╥┐╚╡╞╡╞╦╝║╔╡║ ║│║  ╚╡└╥┴┴╨╥╨┼╥┴─┴╥╥┐╠╗│┌╨┐╔╡└╥─┬┐ ├┐│└╨┐╔
╗├┘││├─┘├┤  ║╚╡│├┬┴─╥┘╔╣╔╡╞╩╬╣│ ╠╦╡ ╠╦╡ ╠╣╔╬╡┌┘│╞╡╠╗╚╣└╨┐╚╡╚╗ ╔╡╔╣   ╚╗│╚╦══╣║│║╠╡│ ╞╣│╔╩╗└┴┬┘└┤┌┐│╚
║╞╗│├┼┐ └┴╥╥╨┐├┴┴┴┐ ║╔╬╝╠╡├┐╚╝│ ║║╞╗╠╝├┐╠╣╚╣└┼╥┴┤└╨╨┬╨─┐├┬┼─╨╥╨┘╚╝╔╦╗ ╚╡╔╣┌╥╨╨┘╠╝╞╡┌┴╨┴╨┐║┌╥┘  ╞╡╞╡╔
╣╞╝│╞╡╞╗  ╚╩╗├┴╥╥╥┘ ╚╣║╔╣└┤├╥┐│┌╨╨┴╨╨─┘╞╬╩╦╝╔╡╠╗├─┬┬┼╥┬┴┴┤├╥╥╨╥╥┐ ║║╚╗╔╡╠╩╡╠╦╗┌╨─┼┼┴┐┌┬┬┼╨┼╨─┐ ├┼┤└╨
╣├╥┤└┤╞╩╗╔╦═╣╞═╣║╚═╦═╣╚╬╣╔╡╞╝└┼┴╥╥┬┬┬──┤╚═╩╗╚╡╚╩╡╔╡└┘╚╡┌╥┘│╠╩═╩╣└╥╨╨┐║║├╨┬┤╠╬╬╡╔═╡├┬┼┼┴┤│ ├╥─┴┐╞╡└╥┬
╨┼╨┼╥┘╞═╩╩╩═╣╞═╣╠═╦╣ ║╔╬╣╚╡│ ┌┼┐╠╬╡└┴─┬┼──┐╚═╡ ┌┘║└╥─╥┼┘║╔╡╚╦╦═╩╦╩╗ ╞╩╩╡┌┘└╨╨╨┴╨┐└┘└┘│┌┤├┐└╨─┬┘╞╡┌╨┤
╥┴╥┴╨┬┤╔═╦╦╗║╞═╝╚═╩╝ ║║╠╣┌┘│ ╞╡│╠╬╡  ┌┤├┬┐└╥─┘┌┴╥╨┬╨╥╨┤┌╨╨┴─╨╨╥╥╨╥╨┐╞═╦╡╞╦═╦═╦╗╔╡ ┌╥╥┼┤│├┼─┐ └─┼┤├┬┘
╚╗╚══╡╞╩╗╠╝╚╣└┐ ╔╦═══╩╩╝╠╡╔╡ │╞╡╚╩╡ ┌┘╞╡└┼┐║┌┐│╔╝╔╡ ╠═╡╞╦════╦╝╚═╣ ├┴╥╨┼┤╚╦╩═╣║║├╥┘╠╝╞╡├┼┤┌┘┌╥┐│╞╡╞╦
╥╨┬┬┬┤└╥╨╨╥┬╨┐└╥╨╨┬╥╥─╥┐╚╡╠╡ ├┼┼─┬┼╥┼─┘└╥┘╞╩╡╞╡╚═╝├─╨╥┘├╨─┬──╨─╥┐║┌┤┌╨─┤└─╨┬┬╨╨╨┘╚╗╠═╡╞╡├┘├┐╞╣└┘││└╨
╨─┤├┤└╥╨┐╔╣╞╗│╔╝┌┐╞╩╩╦╝├┐╞╣╞═╡├┘ ├┤║╞╗╔═╣ ╞═╡└┴┬┬┐╞═╦╝┌┼┬─┴┐╔╗ ╠╡║└┤└──┼┬─┐└┼─╥╥┐┌╨╨─┴┘└┼┐╞╡└╨┬┬┤└┐
─┐╞╡╞╗║ ╞╩╝├╨┼╨─┘│└┬┐╚╗└┤╞╣├┬┘├─╥┘╞╝├╨╨┐╠═╡╔╡╔╦╡├┘└─╨─┘│├┬┬┤║╠╦╩╡╚╗╞╗┌┬┼┘╔╡┌┴┐║║└┴╥╥╥╥┐╔╡└┴┼┐┌┘│╞╗└┐
┌┘╞╡╞╬╝╔╡┌╥┘ ├╥╥┐│┌┤╞═╬═╡╞╣││ └╥╨╥┴┬┼─╥┘╚═╡╚╡╚╣││ ┌╥╥─┬┴┘╞╡│║║║┌┘╔╣└╨┘├┼┬╨┼┘ ├╨╨╥┐║║╚╝╞╣╞══╡└┘╔╡├╨┐├
┤┌┘│╞╬═╝├┤║  │║╚╡╞╡╞╡┌╨─┤╞╩╡╞╦╗╚╗╠╗└┤╔╝┌┬─┴┬┼─╨┼┤╔╡╚╝┌┘ ╔╡├┘║║║╞╗╚╩╗ ┌┤├┼╥┴┐┌┘ ╔╝│║║┌┬┤╠╡┌┬┴┐ ╚╡├┐├┤
├┤┌┴┤║╔╗│╞╩╗ └╨─┼┼┼┼┘├╥╥┼┘ │╞╣╚╦╬╣╚╗└╨┐├┴─┐├┼─╥┴┴╨┤  └─┬╨┴┴╥╨╨╨┼╨╥─╨╥┼┤└┤╚╦╡└┬┐╠═╡╠╬╡└┼╨┼┤└┐╞╗╔╡╞╡└┴
││╞╦╡║╠╝╞╡ ╠╗ ┌┐╞╡│╞╗╞╬╬╡ ╔╡╞╝ ╠╝╚═╝  ├┴┐ └┤└─╨┬─┐│┌─┬╥┘ ╔╗╠╦╦═╡ ╚╦╗╠╡└┬┼╥╨┘┌┤│╠═╡╠╣│┌┼┐├┴╥┼┘╠╝│├┘┌─
┴┴┴╨┴╨╨┬┼┴┬╨╨╥┘├┤├┤╞╣╞╬╝├─╨┤└╥─╨╥╥╥╥╥┬┴┐├╥╥┘┌╥─┤┌┼┴┤╔╡╠═╦╣╠╣╠╬╗│┌╥╨╨╨┤╔╡╞╝┌─┤╞╡║╔╡╠╝├┘╞╡│╔╬╡┌╨┬┼┤ └┐
┌╥┬┬┐╔╗├┘ ╞═╦╬╗╞╡╞╡├╨┴╨┐╞═╗├╥╨╥┐╚╝║╠╝└┬┤╞╬╣╔╡╠╗│├┴┐│╚╡║ ╚╩╣╚╣║║└┤╚╦╗ ╞╩╡╞╗├┬┤├┴╨╨┤║┌┼┬┘└┼╨╨┤╞╗│╞╡┌┐│
┤║└┤├╨╨┤┌╥┴┬╨╨╨┼┤│├┴╥┐┌┘└┐║╞╣╔╝│╔╦╩╝┌┐│╞╡╠╩╩╡╚╝╞╡┌┴┼╥┘╚╦═╗╚╗╠╬╩═╡┌╨╨┐└┐├┼╨┤││╞═══╡╠╡╞╡┌─┤┌┐├┴╨┤╞╡╞╡└
├╨─┼┼╥┬┴┘╚╗╞╗┌┬┼┤└┼─╨┴┤┌┐├╨┤╠╣ ╞╣╚╗┌┴┼┴┘│╠╗ └─┬┼┼┴┐├╨┬─╨┬╨┬╨╨╨─┐├┼─╥┴┐├┘╞═╡├┘├╥┐ └╨┼┘└┼╥┤││└─┐└┘│╞╡┌
╞╗╔╡├╨┼─╥╥╨┴╨┴┴┘├┬┴┬┬┬┼┘├┼┐╞╝╚╦╡╚╦╝╞═╡  ╞╝╚╗ ┌┘└┼┐├┴┬┘  └┐├┐┌┐╔╡╞╡┌╨─┘│ └┐╞╡┌┴╨┴╥─┐│ ┌┴╨┘│╞╦╗├╥┐└┴┘├
├╨╨┼┼┐│ ║╚╗ ┌┬┐ │╞╗└┼┴┤┌┼┤│╞══╣└┬╨┬┼╥┼┬╥┘╔╗╚╗└┬┐╞╡└┬┘  ╔═╡└┴┤└╨┘└┼┼─╥─┴──┴┤│├┬┐ ╠╦╡│╔╡ ┌┬┘╞╣╠╡╠╡ ╔═╡
╞╦╗╞╡││ ╠╦╣ └┤├─┤├╨┐│ └┘│╞╡└┬─╨─┘┌┴┴╨┘╞╩═╝╠╦╝ ├┤└┴┬┴┐┌─╨╥┤ ┌┼╥╥┬╥┴┤ ║╔╗ ┌─┘│└┼┘╔╩╩╡├╨┘ ╞╡ │╚╩╡║╞╦╩═╡
├╨╨┤╞╡├┐╚╣║ ╔╡│ ├┼╥┤╞═╗ ├┤│┌┴─╥┬─┼┬┬┬┬┘ ╔╗║╚╗╔╡├╥─┴┐╞╡╔╗║├┐│└╨╨┘║┌┼┬╨╨╨╥┴─╥┼┐╞╦╝╔╗╞╡ ┌┐├┴┬┴╥┬┤╚╡╚╗┌┤
┼╥┬┼┤╞╡╞╦╬╬╦╩╡├┐├┘║├┴─╨╥┴┴┘╞╦╗║└╥┴┤││╞══╩╬╝ ║╚╡└╨┬┬┼┼┤╠╩╣└┤├╥╥┬╥╨┴┘╞╗╔═╣╔═╩╡│├╨┐╚╩╡├╥┴┴┤┌┤┌╨┼┘┌┼─╨┴┼
╞╣╞╡││└┘╚╣╠╩═╡││╞═╬╡┌╥─╨┐┌┐╞╬╝╚╗╠╦╡├┼┼┐  ╠╗╔╩╦╡┌╥┘└┴┼┤╠═╣┌┤├╨╨┼╨┐┌┐╞╣║╔╩╩══╡│╞╦╡  │├╨┬┐╞╡│├─┴─┘│╔╦═╡
╞╝└┤╞╡  ┌╨╨╥┐│└┤╞╗╠╡│╚═╗│└┤╞╝ ╔╝║╠╡│╞╡╞╦═╣╚╣╔╩╡│║ ╔╦╡├╨╥╨┴┘├┐ ├╥┴┴┤├╨╨╨╥─┬╥┴┴┼╨┼┬─┼┤┌┴┤│├┘├╥──╥┤╚╩═╡
┤  ├┼┼┐ ├╥┐║├┤ ├┼╨╨┤╞╦╗║╞╗└┴┬─╨╥╨╨┴┤└┘├╨┬╨┐║║ │├╨┬╨╨┘╞╦╝ ╔═╡└┐│╚╦═╡╞═╗ ║ ├╨─┬┼╥┘├┐└┼┴┐│├┴┐╞╝┌─╨┼┬┬┬┤
├─┬┼┴┤└┐╞╣╞╣│╞╗├┼─┬┼┴╨╨╨┘╠═╗└╥╥╨╥──┼╥╥┤╔╡┌┤╚╩═╡└┬┘ ┌┐│╚╗ ╚╗╞╦╡└┬╨┐│╞╗║╔╣╔╡┌╥┤╞╬╗││ └╥┘├┘ └┼┐└─╥┴┤├┘╞
├─┘╞╦╡ └┤║╞╬╡├╨┴┘┌┘│╔═╦╦═╣┌╨┐╚╩╦╣┌┐└╨╨┤╚╡├┤┌╥╥┘ └┬┬┼┴┴─╨┬─╨┼╨┤╔╡ ├┼┤║╠╬╩╝└┼╨┴┼╨╨┴┼┬─╨┐├╥──┼┤╔═╩╦╡│┌┼
╡ ┌┴╨┼─┬┤╚╡╠╡└╥╥╥┘ │╠╗╚╣╔╩╡ ╞╦═╩╝│└╥┐╔╡ │╞╡└╨╨┬┬╥┼┤│┌┐┌─┤ ┌┘╔╡╚╡┌┘╞╡╠╩╬╦═╦╡┌╥┤╔╗╔╡│  ├┴╨┬╥┴┴╨┐╔╩╡││└
└┐╞╦═╡┌┤╞╗╞╝╞╦╣╠╝╔═╡╠╝╔╩╩╗└┬┘╠╗╔╗╞╦╬╡╠╡╔╡├┤ ┌┬┤╞╬╡││╞╡│ │ │╔╝│ └┤╔╡└╨┐╠╬╗╠╡└╨┼╨╨╨┘└┬┐├──┼╨┐ ╔╡╚═╡│├┐
┐╞╡║┌┤├┘└╨┴┐├╨╨╨┬╨┬┘╚═╩╗┌╨╥┤╔╣║║╠╡╚╣├╨┘╠╡└┤╔╡╞╡│╠╡│├┤└┼┐╞═╡╠═╡┌─┘╠╡  │║╠╬╩╡ ╔╡┌╥┬╥┬┴┤├┬┬┘╔╡ ╠╡ ┌┤├┼┼
└┴┴╨┴┘╞╗ ┌╥┘╞╗┌╥┴─┤┌──┬╨┤┌╨┴╨╨╨╨╨┤┌╨┘ ┌╨┼┐└╨┘╞╡└╨┴┘╞╡┌┴┤╞╦╡╚═╡└┬╥╨┼╥─┤║╚╣ ╞═╣└┤╠╡║├┬┘├┘└┐╠╡┌╨┴┐└┤├┘├
═╦╗┌┐ ╞╝╔╡╚╗├╨┼╨─┐│╞═╗╞╗││┌──┬╥┬─┤├┐╔╦╡┌┤╞═╗╔╡└╥┬╥┬┤╞╡┌┴┼╨┼─╥┘ └╨╥┴╨╥┴╨╥╨─┘ ║┌┼╨┼╨┼┼─┤╔╗│║╞╡  └┬┴┘╔╡
╥╨╨┤├┐╞═╝│╔╝╞╗└╥┐│└┤╔╣╞╝├┤└╥┐╞╬╡ ├┘╞╝╚╡└┤├─╨╨┼┬╨┘╚╡└┴┘├┬┘ │ ╚╗╔╗╔╩╗┌╨┐ ╚═╗ ╔╣└┘┌┼╥┼┘ │╚╣└╨┤│ ┌┬┘  ╠╡
╨─┬┤╞╡╞═╗│╚╗└╨┬╨┼┼┐╞╩╩╡┌┴┴┐╚╡├╨┤ │╔╡┌╥┼┬┤└┬╥╥┼┼╥┐ └╥──┘│ ┌┼──╨╨╨╨┐╚╡╔╡╔╦═╩═╬╝╔╦╡├╨┘┌┬┼┐╚═╗└┼─┘╞╗┌┐╚╡
╥╥┼┴┘├┘┌╨┼┬╨┬┬┤┌┤├┴┤ ┌┴┼╥╥┼┐├┤ └┐╞╩╡├╨┴┼┤┌┤║║├┴╨┘ ┌╨╥╥╥┘ │╞═╦╦╦═╗│┌┘║├╨╨╥┬┬╨─╨╨┘├─╥┤└┴┼─╥╨┐└┐╔╡║└┤┌┤
╚╝╞╗ ├┬┴┐│└┬┴┤└┤│├┬┘┌┼┐└╨╨┴┼┤└┬─┘├╥┼┴╥┬┴┤│╞╣║└┐  ╔╡┌╨╨╨┐ ╞╡ ╠╩╣╔╩╡│╔╬╡  ║└┤╔╗ ╔╦╡╔╣│╔╗├─╨┬┴┬┘║╞╬╦╡├┼
═╗╞╬╗├┼┬┤├┐╞╗├┬┼┴┘└┐└┤│╔╦╗ ├┤┌┼╥┐╞╬╡┌╨┴┬┼┼┼╨╨┬┤ ┌╨┴┘┌┐ └─┼┤ ║ ║║ ││║╚╡ ╔╩═╡╚╝╔╩╩╡╚╩╡║╚╡┌╥┘ └─╨┤╠╝╞╡└
╦╣├╨╨┘└┴┘╞╡╞╝│├┼─╥─┼┐├┘╠╬╬═╡│╞╡╠╡├╨┤╞═╦╡│└┼┐ └┘ ├╥╥╥┴┴─┐╔╡├┬╨╥╨╨─┘│╚╗└╥╨╥─┘╔╦╣ ╔╡  ╞╬╗│╞╝     └╨─┤├─
╩╝├╥┐┌╥╥─┼┘╞╗│└┴┐╠╗╞╡├─╨╨╨┬┤└┘└╨┘│╔╡├┬╨┴┘╔╡├╥─╥┬┤║╚╩╦╗┌┘╠╡└┘╔╣┌┬──┘┌╨╥╨╥╨┐┌╨╨╨─╨┴╥╥┴╨╨┘╞╗ ┌───┐╔╗│└─
┐╔╡║└┘║╚╗╞╗└╨┘  └╨╨┴┼┴╥┬┬┬┤├──╥┐ │║└┴┼╥┬┐║╞╡╚═╝╞╡║┌─╨╨┴┐║├┐┌╨╨┘│┌─╥┤┌╨┬╨╥┼┤╔╦╦══╗╠╝ ┌╥╥┼╨┐├┬┬╥┴╨╨┘┌─
├╨┼╨┬┬╨┐║│║ ┌┬┐ ┌╥┬┐╞═╩╡└┘│└╥─╨┼╥┘║  ╞╝╞╡╠╡│ ┌╥┤│╠╡ ╔╦╗└╨┴┼┘╔╗ │├╥╨┤└─┤┌╨┤╞╩╬╬╦╦╝╠╗╔╡║║╞╦╡├┼┴╨╥╥┬─┤┌
└┬┤ └┼╥┘║╞╝ ├┴┴┬┴╨┼┼┼─┬┘  ╞╦╩╗ ╞╝┌╨╥┐╞╗│├╨┘╞╗╞╬╡└╨┘╔╩╩╣╔╦═╡┌╨╨─┤│╚╦╡┌┬┴┘┌┼┘╔╩╩╝╚═╝╚╣│║╠╡╚╡╞╡╔═╝╠╡╔╡└
─┼┼┐ ╞╝┌╨┼┬╥┴┬┬┴┬╥┴┤│ │┌╥┬┴╨─╨─┘ ╞═╬╡╞╣└┴─┬┘╚╡╚╡┌─┬╨╥┬╨╨╨─┼┼─╥┐╞╡╔╣└┼┴┐╔╡│╔╩╗╔═══╗ ╚╡║╠╡ └┤│║┌╥╨┼╨┘╔
┐├┘╞╗╞╗├╥┴┴╨─┤└┐├╨╥┴┘┌┤╞╝├┐   ┌┐┌┤┌╨┼┤╠╦╦╗╞╗ │┌┼┴─┤┌╨┴──┐ ╞╡╔╝╞╡╞╝╚╗└┐│║└┼╨┬╨╨┬┬┐╚╗ ├╨╨┴┬╥┘│║╞╩═╡ ┌╨
┤╞╗└╨┤║╞╩╗┌──┴┐╞╡╔╝  ╞╡├┐└┘╔╗ └┘└┘└╥┤╞╬╝║║└╨┐└┤├╥╥┤╞╦╗╔╗╞═╡└╨─┴┼┴╥╥╨─┘╞╣ ├─┘  ╞╡├┐║ │┌╥─┴╨┬┴╨┤┌┬┴╥┤
╞╡║  ├╨┘╔╝│╔══╡│╞╝┌┬┐├┤├┼╥┬╨╨┐┌─┐ ╔╩╡╞╝ ╚╣╔═╡╔╡└╨╨┼┴╨╨╨╨┴┐└╥╥┬┐└┬╨╨┬┐┌┼╨┐└────┤│└┤║ ├┤╚╦═╗╞═╗├┼┼─╨┴┬
╡╞╩╗ ╞╗ ╚╦╡║  ╞╡└─┼┼┤│└┤╞╣╞╗┌┤└─┴╥╨╥┤└┐ ╔╬╬╦╡╠╡┌┐ ╞╗ ╔══╦╡╔╬╬╡╞╦╡ ╔╡│╞╡╔╡┌┐ ╔╦╡├┐└╨╥┘└╥╨╥╨┴┬╨┴┼┘┌─┬┴
├┴┬╨╥┤╠══╣├╨─┐╞╡  │╞╡└┬┴┤║└╨┤├┬┐┌╨┬╨┼┐╞╗╠╝╚╝└╨┘├┤ ╞╬╗║ ╔╝╞╬╬╬╡└╨┴┬╨┘└┴┤║├┘├┬╨╨┤├┼┐╔╣╔╗╠═╝┌┐├┬┬┼╥┼┐│┌
╞╗├┐║╞╬═╦╣│  └┘╞╦═╡└┴╥┤┌┘║ ╔╡╞╡╞╡ │ ╞╡├╨╨┬┬┐ ╔═╡├╥┼╨╨╨┐╚╗╞╣╠╣├┬┬─┤┌─┐┌┘║│╔╡│┌┐╞╡╞╡╠╣║╚╬╦═╡├┼┴┤└╨┼┴┼┘
├╨┘╞╣╞╩╦╣╠╡ ╔╗╔╡╠╦╡╔═╣└┘╔╩╗║││╞╡├╥┴┬┤╞╡╔╦╡│└╥╨┬┴┴╨┤╔══╡┌╨┤║║║├┴┤┌┼┼╥┼┘┌╨┴╨┴┼┘││││└╨╨╨┐╚╩═╡│├─┘╔╗╞╦╡╔
╞╦╗╞╣└╥╨╨╨┤╔╣╠╝├╨╨┘╚═╬╦═╬╗╚╣││└┼┼╨─┤││╞╩╝├┘╔╝ │╔╗ ╞╩╦╦╡├─┘╚╩╝├╥┘│││╚╡ ├┐ ╔═╡┌┴┘├┘ ╔╗┌┤ ┌┐└┘│╔═╬╬╡╚╡║
├╨╨┤║╔╣┌┐ └╨╨╨┐╞╦╗ ┌┐╚╩═╝╚╗║│└─┤╞╗╔╡╞╡├┐╔╡┌╨┐ ├╨╨╥┴┬╨╨┤├╥─╥╥─┘╚═╡└┴┐╞═╡│╔╩╦╡│ ┌┤ ╔╬╩╡├─┼┴╥─┼╨─╨╨┘ ├╨
┤ ┌┴╨╨╨┼┘ ┌─┬┬┤│╚╣┌┘│╔╦╦╦═╝╠╡╔═╡╞╣╚╡│└┤├╨┤╞╗╞╗╞╗┌╨┐╞╦═╡│║╔╩╣┌╥╥╥┤  ├┘╔╡│╚═╣│╞╦╡└┬╨╨┬┴┼┬┤╔╝┌┘╔═╦╗  ├┬
┤ ╞═╗  ├─┐└─┴┼┤╞╗╠╡ ├╨╨╨╨╥─╨┴╨─┼┘╠╦╡│ ╞╡ ├┼╨┼╨┼╨┘┌┤└╨╥┴┴╨╨─╨┼╨╨╨┘┌╥┴┬╨┼┴─╥╨┤╞╩╡┌┼┐ ├╥┤└┘╠═╡ ╚╦╝╚═╗└┴
└┐╞╦╝┌┐│ ╞╦╗╔╡│╞╣║└╥┤ ╔╗ ║┌╥─┐┌┴┐╠╬╡└┐├┘╔╡└╥┘ ╞╗┌┘├┐┌╨┬┐╔═══╡╔╗ ╔╡╠╗╞╗└─┐║╔╡└┐╞╡╞╡ ├╨┴─┐╚╦╡┌─╨┐ ╔╝ ┌
═╡│╚╗╞╡└─┘╠╩╝└┘│║╠═╣╞╦╝╚═╬╡║┌┼┘ ╞╝╠╡┌┴┤┌╨┴─╨──┴╨┼╥┼┴┼─┴┼╨┬┬╥┴╨╨┐║├╨╨┘║╔═╡╚╣╞╦╡╞╡└┘╔╡╔╦╗│╔╬╡╞╦═╡╔╩╦╦╡
┌┤└─╨┘└─┬╥╨┐   ├╨╨╥╨┤║ ╔╦╬╡╠╡└─┐│╔╝╞╡┌┘└┐╔═╗╔╗╔╗├╨┼─┴╥─┴─┤╞╝┌╥╥┼╨┴─╥┬╨╨─┤┌╨┤╚╡│├┬┐╠╡║╠╩╡╚╝╞╡╚═╡╠╗╚╣└
┤╞╗  ┌─╥┘╠═╡┌╥┐╞╗┌╨┬┤║┌╨╨╨┼╨┤╔╗│├╨┬┴┼┴──┴╨┐╚╬╩╝╠╡ └┐┌╨╥╥┐╞╡┌┼╨╨┼┬┐┌╨┼─┐┌┼┤╔╡┌┼┤└┼┼╨┤╠╣╔╡┌─┤│╔╦╡║║╔╬╦
╞╡╠╦═╡┌╨╥╨┐├┼╨┴┴╨┼┬┴┼╨┼┐╔╗├╥┘╚╣└┴┬┤ ╞══╦═╗╞╦╩╗┌╨┘ ┌┤└╥╨╨┼┼┴┘├─╥┴┼┘├─┤╔╡├┘└╨┤╞╡└┬┴┴─┴╨╨╨┼┘ └┤╚╩╡╚╬╩╣╚
│╞╬╩╗├┼─╨╥┼┤├╥─┬─┴┘╔╡ ├┘╚╣╞╬╗ ║ ┌┴┘╔╡  ╚╦╬╡╠╦╣├┐  ├┘╔╬╦╗╞╡╔╗╞╦╩╗├─┴╥┴╨┼┤  ┌┘╞╡╔╡┌┐╔╦╗ ┌┘┌┬┐╞╦╗│╔╣┌╨┬
┤├╨┐║╞╡ ╔╣│╞╡╚╗╞╗ ╔╣╞╗╞═╗║╞╩╣ ║┌┤╔╗╚╡┌┬─╨╨┤║╠╣├┴╥┐│ ║║║╠╡│╚╩╡╚╗║│  ║┌╥┤└┬╥┴─┘└╨┤╞╡╠╝╠╦╡┌┘╞╡└╨╨┘╠╬╡ ╞
┴┼─┼╨┤│╔╬╝╞╡╞╗║└╨┬╨╨┤║╞╦╬╣├╥╨┐║│╞╬╝┌┼┴┴─┐ ╞╬╬╝╞═╩╡╞═╩╣║║├┼┐ ├┐╠╬╡╔╦╩╡╠╡ │║┌┬┐┌─┴┴┤║╔╝╚╡└─┘└┐╔╦╗╠╝├┬┴
 └┐╞╗└┘╚╬═╡└┤║╠═╦╡  └╨┤║╠╣└╨┬┼╨┘└╨┐├┼┐  ╞╗└╨╨╥┼┬┐│└─╥╨╨╨┤├┴┬┴┘╠╝└╨╨┬┴╨┼┐├╨┘│├┼┐╔╗╞╩╬╗ ├┬┐  ╞╩╬╝╚╗└┼┐
═╗├┘╠╦══╝┌┴┐├╨╨─╨┼╥─╥┬┘╚╣║╔═╡╞═╗┌┐└┼┴┤┌┐│╠╗  ╚╡╞╡│╔╦╬╗┌┐└┤ ╞═╦╣╔╗┌╥┤┌┐├┼┤  ╞╡╞╡╠╬╡ ║╠╦╡└┼┐ └┐╚╗╔╬╦╡╞
╔╣╞═╣╠═══╡╔╡│ ╔══╡╠╗╠╡  ╚╩╬╦╡└╥╨┼┴─┘╔╡└┤└╨╨╥╥╥┼┴┴┴╨╨╨╨┤│╔╡╔╡ ║║║╠╡╠╡│├┴┼┼┐ └┘││╚╩╡ ╚╬╝╞═╡├┬╥┤ ║╠╣╚╡└
╩╝╞╦╩╣╔═╗│║├┴╥╨─┐╞╩╝╚╡  ╔╦╝║│┌╨┐╞╗ ┌╨┘┌┴┬┐╔╩╩╝│┌┬─┬╥─┐││║│╠╡┌╨╨╨╨┼╨┤╞╡┌┤╞╡╔══╡└╥╥┼┐╔╣ ├╥┼┴┤║└┐║╚╬╦╡╔
 ┌┘╠═╩╬═╝╞╣└┬╨╥╥┤╞╗┌┐└┐╔╩╝┌╨┘╞╦╡├╨┐╞═╗╞╗├┼╨╥╥┐╞╡│┌┤║ ├┘╞╝╞╣│╞╦╦╦╗╞╗╞╡│╞╡╞╡║  ╞╗║╠╡╞╣║┌┤║│ │║┌┼╨╥╨╨┴╨
┬┘┌╨╥┬╨┬┐╞╬╗╞═╝║├┘╚╡│ └╨╥─┼┬┐╞╣├┴─┘├─╨┘╚╡│╔╬╬╡╞╡└┘└╨┐╞╗├─┼╨┼┘╚╣╚╝│║│╞╡├┘││║┌─┴╨╨╨┘└╨╨┤└╨┴┬┼╨┼┴┐║╔╦═╦
┘ └─╨┴┐├┼┴╨╨┼┬┬╨┼╥┬┘│ ╔╦╣╔╡└┤├╨┼─┐ ├╥┐ ╔╡└╨╨╨┤├┘  ┌─┼┼╨┼┐└┬┼─╥╨─┐├╨┘├┴┴┐╞╡║│┌┬─╥───┐┌┘┌┐┌┴┤┌┴┐╞╣╚╬╗║
┬┬┬┬┬╥┴┼┼─┬┐└┼┘ ╞╝├┐╞═╬╩╬╝╞╦╡├┐└┬┘ ╞╝╞╦╝│ ╔╦═╡│┌╥┐╞╗├┘┌┼┼─┼┴─╨─┬┘└╥┬┼┐┌┴┤╞╣├┼┼┐╚╦╦═╡├┐├┘│ └┴╥┘├╨┐╠╝║
├┤├┘╞╩╗├┴╥┤╞╗│╔═╡┌┼┴┘ ╠╗╚╗├╨┼┤╞╦╡┌┐╞╗╞╣┌┼╥╨╨┬┘└┼╨┤╞╬╡ ╞╡╞╦╡┌┐┌┐╞═╗╚╡└┴┴─┘╞╩╡╞╡│ ║║╔╡└┤├─┼─╥╥╨─┴┐│╚═╬


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