# 99 questions/Solutions/7

### From HaskellWiki

< 99 questions | Solutions(Difference between revisions)

(Some additional solutions for this question) |
Markstoehr (Talk | contribs) m (Added in a new solution) |
||

Line 21: | Line 21: | ||

flt' (List (x:ls)) xs = flt' x (flt' (List ls) xs) | flt' (List (x:ls)) xs = flt' x (flt' (List ls) xs) | ||

flt' (List []) xs = xs | flt' (List []) xs = xs | ||

+ | </haskell> | ||

+ | or with foldr1 | ||

+ | <haskell> | ||

+ | flatten3 :: NestedList a -> [a] | ||

+ | flatten3 (Elem x) = [x] | ||

+ | flatten3 (List xs) = foldr1 (++) $ map flatten xs | ||

</haskell> | </haskell> | ||

## Revision as of 23:12, 25 December 2011

(**) Flatten a nested list structure.

data NestedList a = Elem a | List [NestedList a] flatten :: NestedList a -> [a] flatten (Elem x) = [x] flatten (List x) = concatMap flatten x

or without concatMap

flatten :: NestedList a -> [a] flatten (Elem a ) = [a] flatten (List (x:xs)) = flatten x ++ flatten (List xs) flatten (List []) = []

flatten2 :: NestedList a -> [a] flatten2 a = flt' a [] where flt' (Elem x) xs = x:xs flt' (List (x:ls)) xs = flt' x (flt' (List ls) xs) flt' (List []) xs = xs

or with foldr1

flatten3 :: NestedList a -> [a] flatten3 (Elem x) = [x] flatten3 (List xs) = foldr1 (++) $ map flatten xs

We have to define a new data type, because lists in Haskell are homogeneous. [1, [2, [3, 4], 5]] is a type error. Therefore, we must have a way of representing a list that may (or may not) be nested.

Our NestedList datatype is either a single element of some type (Elem a), or a list of NestedLists of the same type. (List [NestedList a]).