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 __   __   __   __   __   __   _    _     _  _   
 \ \\/ //  \ \\/ //  \ \\/ // | || | ||  | \| || 
  \   //    \ ` //    \   //  | || | ||  |  ' || 
  / . \\     | ||     / . \\  | \\_/ ||  | .  || 
 /_//\_\\    |_||    /_//\_\\  \____//   |_|\_|| 
 `-`  --`    `-`'    `-`  --`   `---`    `-` -`

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Text this: On semigroups of endomorphisms of a chain with restricted range