98 lines
2.4 KiB
Markdown
98 lines
2.4 KiB
Markdown
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# Boom
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**Problem:**
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Return the numbers 0-n, but replace every number with a '3' as one of the digits with "Boom"
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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.
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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.
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## Running
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start up `ghci` and type:
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```
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:t solution (nil :: X)
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```
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where X is a church encoding using S as the successor function, and Z as the atom.
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## Example
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```
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: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))))))))))))))))))))))))))
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```
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will return (formatted to save your eyes):
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```
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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))))))))))))))))))))))))))
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:: Cons
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(Cons Z Nil)
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(Cons
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(Cons (S Z) Nil)
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(Cons
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(Cons (S (S Z)) Nil)
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(Cons
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Boom
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(Cons
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(Cons (S (S (S (S Z)))) Nil)
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(Cons
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(Cons (S (S (S (S (S Z))))) Nil)
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(Cons
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(Cons (S (S (S (S (S (S Z)))))) Nil)
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(Cons
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(Cons (S (S (S (S (S (S (S Z))))))) Nil)
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(Cons
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(Cons (S (S (S (S (S (S (S (S Z)))))))) Nil)
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(Cons
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(Cons (S (S (S (S (S (S (S (S (S Z))))))))) Nil)
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(Cons
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(Cons (S Z)
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(Cons Z Nil))
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(Cons
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(Cons (S Z)
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(Cons (S Z) Nil))
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(Cons
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(Cons (S Z)
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(Cons (S (S Z)) Nil))
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(Cons
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Boom
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(Cons
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(Cons (S Z)
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(Cons (S (S (S (S Z)))) Nil))
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(Cons
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(Cons (S Z)
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(Cons (S (S (S (S (S Z))))) Nil))
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(Cons
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(Cons (S Z)
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(Cons (S (S (S (S (S (S Z)))))) Nil))
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(Cons
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(Cons (S Z)
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(Cons (S (S (S (S (S (S (S Z))))))) Nil))
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(Cons
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(Cons (S Z)
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(Cons (S (S (S (S (S (S (S (S Z)))))))) Nil))
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(Cons
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(Cons (S Z)
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(Cons (S (S (S (S (S (S (S (S (S Z))))))))) Nil))
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(Cons
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(Cons (S (S Z))
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(Cons Z Nil))
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(Cons
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(Cons (S (S Z))
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(Cons (S Z) Nil))
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(Cons
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(Cons (S (S Z))
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(Cons (S (S Z)) Nil))
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(Cons
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Boom
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(Cons
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(Cons (S (S Z))
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(Cons (S (S (S (S Z)))) Nil))
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(Cons
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(Cons (S (S Z))
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(Cons (S (S (S (S (S Z))))) Nil))
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Nil)))))))))))))))))))))))))
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```
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