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README.md

Boom

Problem:
Return the numbers 0-n, but replace every number with a ‘3’ as one of the digits with “Boom”

I did this in the type system because I wanted to piss off my flatmate, who gave me this to try out, but also because I hate myself.

I cheated a little at the end, because I cbf converting my representation to standard Church Encoding, so everything is a list of digits instead of a number.

Running

start up ghci and type:

:t solution (nil :: X)

where X is a church encoding using S as the successor function, and Z as the atom.

Example

:t solution (nil :: (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z))))))))))))))))))))))))))

will return (formatted to save your eyes):

solution (nil :: (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S (S Z))))))))))))))))))))))))))
  :: Cons
        (Cons Z Nil)
     (Cons
        (Cons (S Z) Nil)
     (Cons
        (Cons (S (S Z)) Nil)
     (Cons
        Boom
     (Cons
        (Cons (S (S (S (S Z)))) Nil)
     (Cons
        (Cons (S (S (S (S (S Z))))) Nil)
     (Cons
        (Cons (S (S (S (S (S (S Z)))))) Nil)
     (Cons
        (Cons (S (S (S (S (S (S (S Z))))))) Nil)
     (Cons
        (Cons (S (S (S (S (S (S (S (S Z)))))))) Nil)
     (Cons
        (Cons (S (S (S (S (S (S (S (S (S Z))))))))) Nil)
     (Cons
        (Cons (S Z)
        (Cons Z Nil))
     (Cons
        (Cons (S Z)
        (Cons (S Z) Nil))
     (Cons
        (Cons (S Z)
        (Cons (S (S Z)) Nil))
     (Cons
        Boom
     (Cons
        (Cons (S Z)
        (Cons (S (S (S (S Z)))) Nil))
     (Cons
        (Cons (S Z)
        (Cons (S (S (S (S (S Z))))) Nil))
     (Cons
        (Cons (S Z)
        (Cons (S (S (S (S (S (S Z)))))) Nil))
     (Cons
        (Cons (S Z)
        (Cons (S (S (S (S (S (S (S Z))))))) Nil))
     (Cons
        (Cons (S Z)
        (Cons (S (S (S (S (S (S (S (S Z)))))))) Nil))
     (Cons
        (Cons (S Z)
        (Cons (S (S (S (S (S (S (S (S (S Z))))))))) Nil))
     (Cons
        (Cons (S (S Z))
        (Cons Z Nil))
     (Cons
        (Cons (S (S Z))
        (Cons (S Z) Nil))
     (Cons
        (Cons (S (S Z))
        (Cons (S (S Z)) Nil))
     (Cons
        Boom
     (Cons
        (Cons (S (S Z))
        (Cons (S (S (S (S Z)))) Nil))
     (Cons
        (Cons (S (S Z))
        (Cons (S (S (S (S (S Z))))) Nil))
     Nil)))))))))))))))))))))))))